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, scaling;
 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     scaling.x = 0.03f; scaling.y =0.05f; scaling.z = 0.06f;
 268
 269     light.x = 9.6f; light.y = 8.5f; light.z = 7.4; light.w = 6.3;
 270
 271     angle = D3DX_PI/3.0f;
 272
 273 /*____________D3DXMatrixAffineTransformation______*/
 274     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;
 275     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;
 276     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;
 277     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;
 278     D3DXMatrixAffineTransformation(&gotmat,3.56f,&at,&q,&axis);
 279     expect_mat(&expectedmat, &gotmat);
 280 /* Test the NULL case */
 281     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;
 282     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;
 283     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;
 284     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;
 285     D3DXMatrixAffineTransformation(&gotmat,3.56f,NULL,&q,&axis);
 286     expect_mat(&expectedmat, &gotmat);
 287
 288 /*____________D3DXMatrixfDeterminant_____________*/
 289     expectedfloat = -147888.0f;
 290     gotfloat = D3DXMatrixDeterminant(&mat);
 291     ok(relative_error(gotfloat, expectedfloat ) < admitted_error, "Expected: %f, Got: %f\n", expectedfloat, gotfloat);
 292
 293 /*____________D3DXMatrixInverse______________*/
 294     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;
 295     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;
 296     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;
 297     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;
 298     expectedfloat = -147888.0f;
 299     D3DXMatrixInverse(&gotmat,&determinant,&mat);
 300     expect_mat(&expectedmat, &gotmat);
 301     ok(relative_error( determinant, expectedfloat ) < admitted_error, "Expected: %f, Got: %f\n", expectedfloat, determinant);
 302     funcpointer = D3DXMatrixInverse(&gotmat,NULL,&mat2);
 303     ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);
 304
 305 /*____________D3DXMatrixIsIdentity______________*/
 306     expected = FALSE;
 307     memset(&mat3, 0, sizeof(mat3));
 308     got = D3DXMatrixIsIdentity(&mat3);
 309     ok(expected == got, "Expected : %d, Got : %d\n", expected, got);
 310     D3DXMatrixIdentity(&mat3);
 311     expected = TRUE;
 312     got = D3DXMatrixIsIdentity(&mat3);
 313     ok(expected == got, "Expected : %d, Got : %d\n", expected, got);
 314     U(mat3).m[0][0] = 0.000009f;
 315     expected = FALSE;
 316     got = D3DXMatrixIsIdentity(&mat3);
 317     ok(expected == got, "Expected : %d, Got : %d\n", expected, got);
 318     /* Test the NULL case */
 319     expected = FALSE;
 320     got = D3DXMatrixIsIdentity(NULL);
 321     ok(expected == got, "Expected : %d, Got : %d\n", expected, got);
 322
 323 /*____________D3DXMatrixLookatLH_______________*/
 324     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;
 325     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;
 326     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;
 327     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;
 328     D3DXMatrixLookAtLH(&gotmat,&eye,&at,&axis);
 329     expect_mat(&expectedmat, &gotmat);
 330
 331 /*____________D3DXMatrixLookatRH_______________*/
 332     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;
 333     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;
 334     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;
 335     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;
 336     D3DXMatrixLookAtRH(&gotmat,&eye,&at,&axis);
 337     expect_mat(&expectedmat, &gotmat);
 338
 339 /*____________D3DXMatrixMultiply______________*/
 340     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;
 341     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;
 342     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;
 343     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;
 344     D3DXMatrixMultiply(&gotmat,&mat,&mat2);
 345     expect_mat(&expectedmat, &gotmat);
 346
 347 /*____________D3DXMatrixMultiplyTranspose____*/
 348     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;
 349     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;
 350     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;
 351     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;
 352     D3DXMatrixMultiplyTranspose(&gotmat,&mat,&mat2);
 353     expect_mat(&expectedmat, &gotmat);
 354
 355 /*____________D3DXMatrixOrthoLH_______________*/
 356     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;
 357     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;
 358     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;
 359     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;
 360     D3DXMatrixOrthoLH(&gotmat, 2.5f, 7.4f, -3.2f, -9.8f);
 361     expect_mat(&expectedmat, &gotmat);
 362
 363 /*____________D3DXMatrixOrthoOffCenterLH_______________*/
 364     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;
 365     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;
 366     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;
 367     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;
 368     D3DXMatrixOrthoOffCenterLH(&gotmat, 0.2f, 0.75f, -2.4f, 8.7f, 9.3, -12.6);
 369     expect_mat(&expectedmat, &gotmat);
 370
 371 /*____________D3DXMatrixOrthoOffCenterRH_______________*/
 372     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;
 373     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;
 374     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;
 375     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;
 376     D3DXMatrixOrthoOffCenterRH(&gotmat, 0.2f, 0.75f, -2.4f, 8.7f, 9.3, -12.6);
 377     expect_mat(&expectedmat, &gotmat);
 378
 379 /*____________D3DXMatrixOrthoRH_______________*/
 380     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;
 381     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;
 382     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;
 383     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;
 384     D3DXMatrixOrthoRH(&gotmat, 2.5f, 7.4f, -3.2f, -9.8f);
 385     expect_mat(&expectedmat, &gotmat);
 386
 387 /*____________D3DXMatrixPerspectiveFovLH_______________*/
 388     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;
 389     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;
 390     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;
 391     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;
 392     D3DXMatrixPerspectiveFovLH(&gotmat, 0.2f, 0.75f, -2.4f, 8.7f);
 393     expect_mat(&expectedmat, &gotmat);
 394
 395 /*____________D3DXMatrixPerspectiveFovRH_______________*/
 396     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;
 397     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;
 398     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;
 399     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;
 400     D3DXMatrixPerspectiveFovRH(&gotmat, 0.2f, 0.75f, -2.4f, 8.7f);
 401     expect_mat(&expectedmat, &gotmat);
 402
 403 /*____________D3DXMatrixPerspectiveLH_______________*/
 404     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;
 405     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;
 406     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;
 407     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;
 408     D3DXMatrixPerspectiveLH(&gotmat, 0.2f, 0.75f, -2.4f, 8.7f);
 409     expect_mat(&expectedmat, &gotmat);
 410
 411 /*____________D3DXMatrixPerspectiveOffCenterLH_______________*/
 412     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;
 413     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;
 414     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;
 415     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;
 416     D3DXMatrixPerspectiveOffCenterLH(&gotmat, 0.2f, 0.75f, -2.4f, 8.7f, 3.2f, -16.9f);
 417     expect_mat(&expectedmat, &gotmat);
 418
 419 /*____________D3DXMatrixPerspectiveOffCenterRH_______________*/
 420     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;
 421     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;
 422     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;
 423     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;
 424     D3DXMatrixPerspectiveOffCenterRH(&gotmat, 0.2f, 0.75f, -2.4f, 8.7f, 3.2f, -16.9f);
 425     expect_mat(&expectedmat, &gotmat);
 426
 427 /*____________D3DXMatrixPerspectiveRH_______________*/
 428     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;
 429     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;
 430     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;
 431     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;
 432     D3DXMatrixPerspectiveRH(&gotmat, 0.2f, 0.75f, -2.4f, 8.7f);
 433     expect_mat(&expectedmat, &gotmat);
 434
 435 /*____________D3DXMatrixReflect______________*/
 436     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;
 437     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;
 438     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;
 439     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;
 440     D3DXMatrixReflect(&gotmat,&plane);
 441     expect_mat(&expectedmat, &gotmat);
 442
 443 /*____________D3DXMatrixRotationAxis_____*/
 444     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;
 445     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;
 446     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;
 447     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;
 448     D3DXMatrixRotationAxis(&gotmat,&axis,angle);
 449     expect_mat(&expectedmat, &gotmat);
 450
 451 /*____________D3DXMatrixRotationQuaternion______________*/
 452     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;
 453     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;
 454     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;
 455     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;
 456     D3DXMatrixRotationQuaternion(&gotmat,&q);
 457     expect_mat(&expectedmat, &gotmat);
 458
 459 /*____________D3DXMatrixRotationX______________*/
 460     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;
 461     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;
 462     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;
 463     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;
 464     D3DXMatrixRotationX(&gotmat,angle);
 465     expect_mat(&expectedmat, &gotmat);
 466
 467 /*____________D3DXMatrixRotationY______________*/
 468     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;
 469     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;
 470     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;
 471     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;
 472     D3DXMatrixRotationY(&gotmat,angle);
 473     expect_mat(&expectedmat, &gotmat);
 474
 475 /*____________D3DXMatrixRotationYawPitchRoll____*/
 476     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;
 477     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;
 478     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;
 479     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;
 480     D3DXMatrixRotationYawPitchRoll(&gotmat, 3.0f*angle/5.0f, angle, 3.0f*angle/17.0f);
 481     expect_mat(&expectedmat, &gotmat);
 482
 483 /*____________D3DXMatrixRotationZ______________*/
 484     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;
 485     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;
 486     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;
 487     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;
 488     D3DXMatrixRotationZ(&gotmat,angle);
 489     expect_mat(&expectedmat, &gotmat);
 490
 491 /*____________D3DXMatrixScaling______________*/
 492     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;
 493     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;
 494     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;
 495     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;
 496     D3DXMatrixScaling(&gotmat,0.69f,0.53f,4.11f);
 497     expect_mat(&expectedmat, &gotmat);
 498
 499 /*____________D3DXMatrixShadow______________*/
 500     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;
 501     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;
 502     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;
 503     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;
 504     D3DXMatrixShadow(&gotmat,&light,&plane);
 505     expect_mat(&expectedmat, &gotmat);
 506
 507 /*____________D3DXMatrixTransformation______________*/
 508     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;
 509     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;
 510     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;
 511     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;
 512     D3DXMatrixTransformation(&gotmat,&at,&q,NULL,&eye,&r,&last);
 513     expect_mat(&expectedmat, &gotmat);
 514
 515 /*____________D3DXMatrixTranslation______________*/
 516     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;
 517     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;
 518     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;
 519     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;
 520     D3DXMatrixTranslation(&gotmat,0.69f,0.53f,4.11f);
 521     expect_mat(&expectedmat, &gotmat);
 522
 523 /*____________D3DXMatrixTranspose______________*/
 524     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;
 525     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;
 526     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;
 527     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;
 528     D3DXMatrixTranspose(&gotmat,&mat);
 529     expect_mat(&expectedmat, &gotmat);
 530 }
 531
 532 static void D3DXPlaneTest(void)
 533 {
 534     D3DXMATRIX mat;
 535     D3DXPLANE expectedplane, gotplane, nulplane, plane;
 536     D3DXVECTOR3 expectedvec, gotvec, vec1, vec2, vec3;
 537     LPD3DXVECTOR3 funcpointer;
 538     D3DXVECTOR4 vec;
 539     FLOAT expected, got;
 540
 541     U(mat).m[0][1] = 5.0f; U(mat).m[0][2] = 7.0f; U(mat).m[0][3] = 8.0f;
 542     U(mat).m[1][0] = 11.0f; U(mat).m[1][2] = 16.0f; U(mat).m[1][3] = 33.0f;
 543     U(mat).m[2][0] = 19.0f; U(mat).m[2][1] = -21.0f; U(mat).m[2][3] = 43.0f;
 544     U(mat).m[3][0] = 2.0f; U(mat).m[3][1] = 3.0f; U(mat).m[3][2] = -4.0f;
 545     U(mat).m[0][0] = 10.0f; U(mat).m[1][1] = 20.0f; U(mat).m[2][2] = 30.0f;
 546     U(mat).m[3][3] = -40.0f;
 547
 548     plane.a = -3.0f; plane.b = -1.0f; plane.c = 4.0f; plane.d = 7.0f;
 549
 550     vec.x = 2.0f; vec.y = 5.0f; vec.z = -6.0f; vec.w = 11.0f;
 551
 552 /*_______________D3DXPlaneDot________________*/
 553     expected = 42.0f;
 554     got = D3DXPlaneDot(&plane,&vec),
 555     ok( expected == got, "Expected : %f, Got : %f\n",expected, got);
 556     expected = 0.0f;
 557     got = D3DXPlaneDot(NULL,&vec),
 558     ok( expected == got, "Expected : %f, Got : %f\n",expected, got);
 559     expected = 0.0f;
 560     got = D3DXPlaneDot(NULL,NULL),
 561     ok( expected == got, "Expected : %f, Got : %f\n",expected, got);
 562
 563 /*_______________D3DXPlaneDotCoord________________*/
 564     expected = -28.0f;
 565     got = D3DXPlaneDotCoord(&plane,&vec),
 566     ok( expected == got, "Expected : %f, Got : %f\n",expected, got);
 567     expected = 0.0f;
 568     got = D3DXPlaneDotCoord(NULL,&vec),
 569     ok( expected == got, "Expected : %f, Got : %f\n",expected, got);
 570     expected = 0.0f;
 571     got = D3DXPlaneDotCoord(NULL,NULL),
 572     ok( expected == got, "Expected : %f, Got : %f\n",expected, got);
 573
 574 /*_______________D3DXPlaneDotNormal______________*/
 575     expected = -35.0f;
 576     got = D3DXPlaneDotNormal(&plane,&vec),
 577     ok( expected == got, "Expected : %f, Got : %f\n",expected, got);
 578     expected = 0.0f;
 579     got = D3DXPlaneDotNormal(NULL,&vec),
 580     ok( expected == got, "Expected : %f, Got : %f\n",expected, got);
 581     expected = 0.0f;
 582     got = D3DXPlaneDotNormal(NULL,NULL),
 583     ok( expected == got, "Expected : %f, Got : %f\n",expected, got);
 584
 585 /*_______________D3DXPlaneFromPointNormal_______*/
 586     vec1.x = 11.0f; vec1.y = 13.0f; vec1.z = 15.0f;
 587     vec2.x = 17.0f; vec2.y = 31.0f; vec2.z = 24.0f;
 588     expectedplane.a = 17.0f; expectedplane.b = 31.0f; expectedplane.c = 24.0f; expectedplane.d = -950.0f;
 589     D3DXPlaneFromPointNormal(&gotplane,&vec1,&vec2);
 590     expect_plane(expectedplane, gotplane);
 591
 592 /*_______________D3DXPlaneFromPoints_______*/
 593     vec1.x = 1.0f; vec1.y = 2.0f; vec1.z = 3.0f;
 594     vec2.x = 1.0f; vec2.y = -6.0f; vec2.z = -5.0f;
 595     vec3.x = 83.0f; vec3.y = 74.0f; vec3.z = 65.0f;
 596     expectedplane.a = 0.085914f; expectedplane.b = -0.704492f; expectedplane.c = 0.704492f; expectedplane.d = -0.790406f;
 597     D3DXPlaneFromPoints(&gotplane,&vec1,&vec2,&vec3);
 598     expect_plane(expectedplane, gotplane);
 599
 600 /*_______________D3DXPlaneIntersectLine___________*/
 601     vec1.x = 9.0f; vec1.y = 6.0f; vec1.z = 3.0f;
 602     vec2.x = 2.0f; vec2.y = 5.0f; vec2.z = 8.0f;
 603     expectedvec.x = 20.0f/3.0f; expectedvec.y = 17.0f/3.0f; expectedvec.z = 14.0f/3.0f;
 604     D3DXPlaneIntersectLine(&gotvec,&plane,&vec1,&vec2);
 605     expect_vec3(expectedvec, gotvec);
 606     /* Test a parallel line */
 607     vec1.x = 11.0f; vec1.y = 13.0f; vec1.z = 15.0f;
 608     vec2.x = 17.0f; vec2.y = 31.0f; vec2.z = 24.0f;
 609     expectedvec.x = 20.0f/3.0f; expectedvec.y = 17.0f/3.0f; expectedvec.z = 14.0f/3.0f;
 610     funcpointer = D3DXPlaneIntersectLine(&gotvec,&plane,&vec1,&vec2);
 611     ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);
 612
 613 /*_______________D3DXPlaneNormalize______________*/
 614     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);
 615     D3DXPlaneNormalize(&gotplane, &plane);
 616     expect_plane(expectedplane, gotplane);
 617     nulplane.a = 0.0; nulplane.b = 0.0f, nulplane.c = 0.0f; nulplane.d = 0.0f;
 618     expectedplane.a = 0.0f; expectedplane.b = 0.0f; expectedplane.c = 0.0f; expectedplane.d = 0.0f;
 619     D3DXPlaneNormalize(&gotplane, &nulplane);
 620     expect_plane(expectedplane, gotplane);
 621     nulplane.a = 0.0; nulplane.b = 0.0f, nulplane.c = 0.0f; nulplane.d = 4.3f;
 622     expectedplane.a = 0.0f; expectedplane.b = 0.0f; expectedplane.c = 0.0f; expectedplane.d = 0.0f;
 623     D3DXPlaneNormalize(&gotplane, &nulplane);
 624     expect_plane(expectedplane, gotplane);
 625
 626 /*_______________D3DXPlaneTransform____________*/
 627     expectedplane.a = 49.0f; expectedplane.b = -98.0f; expectedplane.c = 55.0f; expectedplane.d = -165.0f;
 628     D3DXPlaneTransform(&gotplane,&plane,&mat);
 629     expect_plane(expectedplane, gotplane);
 630 }
 631
 632 static void D3DXQuaternionTest(void)
 633 {
 634     D3DXMATRIX mat;
 635     D3DXQUATERNION expectedquat, gotquat, Nq, Nq1, nul, smallq, smallr, q, r, s, t, u;
 636     LPD3DXQUATERNION funcpointer;
 637     D3DXVECTOR3 axis, expectedvec;
 638     FLOAT angle, expected, got, scale, scale2;
 639     BOOL expectedbool, gotbool;
 640
 641     nul.x = 0.0f; nul.y = 0.0f; nul.z = 0.0f; nul.w = 0.0f;
 642     q.x = 1.0f, q.y = 2.0f; q.z = 4.0f; q.w = 10.0f;
 643     r.x = -3.0f; r.y = 4.0f; r.z = -5.0f; r.w = 7.0;
 644     t.x = -1111.0f, t.y = 111.0f; t.z = -11.0f; t.w = 1.0f;
 645     u.x = 91.0f; u.y = - 82.0f; u.z = 7.3f; u.w = -6.4f;
 646     smallq.x = 0.1f; smallq.y = 0.2f; smallq.z= 0.3f; smallq.w = 0.4f;
 647     smallr.x = 0.5f; smallr.y = 0.6f; smallr.z= 0.7f; smallr.w = 0.8f;
 648
 649     scale = 0.3f;
 650     scale2 = 0.78f;
 651
 652 /*_______________D3DXQuaternionBaryCentric________________________*/
 653     expectedquat.x = -867.444458; expectedquat.y = 87.851111f; expectedquat.z = -9.937778f; expectedquat.w = 3.235555f;
 654     D3DXQuaternionBaryCentric(&gotquat,&q,&r,&t,scale,scale2);
 655     expect_vec4(expectedquat,gotquat);
 656
 657 /*_______________D3DXQuaternionConjugate________________*/
 658     expectedquat.x = -1.0f; expectedquat.y = -2.0f; expectedquat.z = -4.0f; expectedquat.w = 10.0f;
 659     D3DXQuaternionConjugate(&gotquat,&q);
 660     expect_vec4(expectedquat,gotquat);
 661     /* Test the NULL case */
 662     funcpointer = D3DXQuaternionConjugate(&gotquat,NULL);
 663     ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);
 664     funcpointer = D3DXQuaternionConjugate(NULL,NULL);
 665     ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);
 666
 667 /*_______________D3DXQuaternionDot______________________*/
 668     expected = 55.0f;
 669     got = D3DXQuaternionDot(&q,&r);
 670     ok(relative_error(got, expected ) < admitted_error, "Expected: %f, Got: %f\n", expected, got);
 671     /* Tests the case NULL */
 672     expected=0.0f;
 673     got = D3DXQuaternionDot(NULL,&r);
 674     ok(relative_error(got, expected ) < admitted_error, "Expected: %f, Got: %f\n", expected, got);
 675     expected=0.0f;
 676     got = D3DXQuaternionDot(NULL,NULL);
 677     ok(relative_error(got, expected ) < admitted_error, "Expected: %f, Got: %f\n", expected, got);
 678
 679 /*_______________D3DXQuaternionExp______________________________*/
 680     expectedquat.x = -0.216382f; expectedquat.y = -0.432764f; expectedquat.z = -0.8655270f; expectedquat.w = -0.129449f;
 681     D3DXQuaternionExp(&gotquat,&q);
 682     expect_vec4(expectedquat,gotquat);
 683     /* Test the null quaternion */
 684     expectedquat.x = 0.0f; expectedquat.y = 0.0f; expectedquat.z = 0.0f; expectedquat.w = 1.0f;
 685     D3DXQuaternionExp(&gotquat,&nul);
 686     expect_vec4(expectedquat,gotquat);
 687     /* Test the case where the norm of the quaternion is <1 */
 688     Nq1.x = 0.2f; Nq1.y = 0.1f; Nq1.z = 0.3; Nq1.w= 0.9f;
 689     expectedquat.x = 0.195366; expectedquat.y = 0.097683f; expectedquat.z = 0.293049f; expectedquat.w = 0.930813f;
 690     D3DXQuaternionExp(&gotquat,&Nq1);
 691     expect_vec4(expectedquat,gotquat);
 692
 693 /*_______________D3DXQuaternionIdentity________________*/
 694     expectedquat.x = 0.0f; expectedquat.y = 0.0f; expectedquat.z = 0.0f; expectedquat.w = 1.0f;
 695     D3DXQuaternionIdentity(&gotquat);
 696     expect_vec4(expectedquat,gotquat);
 697     /* Test the NULL case */
 698     funcpointer = D3DXQuaternionIdentity(NULL);
 699     ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);
 700
 701 /*_______________D3DXQuaternionInverse________________________*/
 702     expectedquat.x = -1.0f/121.0f; expectedquat.y = -2.0f/121.0f; expectedquat.z = -4.0f/121.0f; expectedquat.w = 10.0f/121.0f;
 703     D3DXQuaternionInverse(&gotquat,&q);
 704     expect_vec4(expectedquat,gotquat);
 705
 706     expectedquat.x = 1.0f; expectedquat.y = 2.0f; expectedquat.z = 4.0f; expectedquat.w = 10.0f;
 707     D3DXQuaternionInverse(&gotquat,&gotquat);
 708     expect_vec4(expectedquat,gotquat);
 709
 710
 711 /*_______________D3DXQuaternionIsIdentity________________*/
 712     s.x = 0.0f; s.y = 0.0f; s.z = 0.0f; s.w = 1.0f;
 713     expectedbool = TRUE;
 714     gotbool = D3DXQuaternionIsIdentity(&s);
 715     ok( expectedbool == gotbool, "Expected boolean : %d, Got bool : %d\n", expectedbool, gotbool);
 716     s.x = 2.3f; s.y = -4.2f; s.z = 1.2f; s.w=0.2f;
 717     expectedbool = FALSE;
 718     gotbool = D3DXQuaternionIsIdentity(&q);
 719     ok( expectedbool == gotbool, "Expected boolean : %d, Got bool : %d\n", expectedbool, gotbool);
 720     /* Test the NULL case */
 721     gotbool = D3DXQuaternionIsIdentity(NULL);
 722     ok(gotbool == FALSE, "Expected boolean: %d, Got boolean: %d\n", FALSE, gotbool);
 723
 724 /*_______________D3DXQuaternionLength__________________________*/
 725    expected = 11.0f;
 726    got = D3DXQuaternionLength(&q);
 727    ok(relative_error(got, expected ) < admitted_error, "Expected: %f, Got: %f\n", expected, got);
 728    /* Tests the case NULL */
 729     expected=0.0f;
 730     got = D3DXQuaternionLength(NULL);
 731     ok(relative_error(got, expected ) < admitted_error, "Expected: %f, Got: %f\n", expected, got);
 732
 733 /*_______________D3DXQuaternionLengthSq________________________*/
 734     expected = 121.0f;
 735     got = D3DXQuaternionLengthSq(&q);
 736     ok(relative_error(got, expected ) < admitted_error, "Expected: %f, Got: %f\n", expected, got);
 737     /* Tests the case NULL */
 738     expected=0.0f;
 739     got = D3DXQuaternionLengthSq(NULL);
 740     ok(relative_error(got, expected ) < admitted_error, "Expected: %f, Got: %f\n", expected, got);
 741
 742 /*_______________D3DXQuaternionLn______________________________*/
 743     expectedquat.x = 1.0f; expectedquat.y = 2.0f; expectedquat.z = 4.0f; expectedquat.w = 0.0f;
 744     D3DXQuaternionLn(&gotquat,&q);
 745     expect_vec4(expectedquat,gotquat);
 746     expectedquat.x = -3.0f; expectedquat.y = 4.0f; expectedquat.z = -5.0f; expectedquat.w = 0.0f;
 747     D3DXQuaternionLn(&gotquat,&r);
 748     expect_vec4(expectedquat,gotquat);
 749     Nq.x = 1.0f/11.0f; Nq.y = 2.0f/11.0f; Nq.z = 4.0f/11.0f; Nq.w=10.0f/11.0f;
 750     expectedquat.x = 0.093768f; expectedquat.y = 0.187536f; expectedquat.z = 0.375073f; expectedquat.w = 0.0f;
 751     D3DXQuaternionLn(&gotquat,&Nq);
 752     expect_vec4(expectedquat,gotquat);
 753     /* Test the cas where the norm of the quaternion is <1 */
 754     Nq1.x = 0.2f; Nq1.y = 0.1f; Nq1.z = 0.3; Nq1.w= 0.9f;
 755     expectedquat.x = 0.206945f; expectedquat.y = 0.103473f; expectedquat.z = 0.310418f; expectedquat.w = 0.0f;
 756     D3DXQuaternionLn(&gotquat,&Nq1);
 757     todo_wine{ expect_vec4(expectedquat,gotquat) };
 758
 759 /*_______________D3DXQuaternionMultiply________________________*/
 760     expectedquat.x = 3.0f; expectedquat.y = 61.0f; expectedquat.z = -32.0f; expectedquat.w = 85.0f;
 761     D3DXQuaternionMultiply(&gotquat,&q,&r);
 762     expect_vec4(expectedquat,gotquat);
 763
 764 /*_______________D3DXQuaternionNormalize________________________*/
 765     expectedquat.x = 1.0f/11.0f; expectedquat.y = 2.0f/11.0f; expectedquat.z = 4.0f/11.0f; expectedquat.w = 10.0f/11.0f;
 766     D3DXQuaternionNormalize(&gotquat,&q);
 767     expect_vec4(expectedquat,gotquat);
 768
 769 /*_______________D3DXQuaternionRotationAxis___________________*/
 770     axis.x = 2.0f; axis.y = 7.0; axis.z = 13.0f;
 771     angle = D3DX_PI/3.0f;
 772     expectedquat.x = 0.067116; expectedquat.y = 0.234905f; expectedquat.z = 0.436251f; expectedquat.w = 0.866025f;
 773     D3DXQuaternionRotationAxis(&gotquat,&axis,angle);
 774     expect_vec4(expectedquat,gotquat);
 775  /* Test the nul quaternion */
 776     axis.x = 0.0f; axis.y = 0.0; axis.z = 0.0f;
 777     expectedquat.x = 0.0f; expectedquat.y = 0.0f; expectedquat.z = 0.0f; expectedquat.w = 0.866025f;
 778     D3DXQuaternionRotationAxis(&gotquat,&axis,angle);
 779     expect_vec4(expectedquat,gotquat);
 780
 781 /*_______________D3DXQuaternionRotationMatrix___________________*/
 782     /* test when the trace is >0 */
 783     U(mat).m[0][1] = 5.0f; U(mat).m[0][2] = 7.0f; U(mat).m[0][3] = 8.0f;
 784     U(mat).m[1][0] = 11.0f; U(mat).m[1][2] = 16.0f; U(mat).m[1][3] = 33.0f;
 785     U(mat).m[2][0] = 19.0f; U(mat).m[2][1] = -21.0f; U(mat).m[2][3] = 43.0f;
 786     U(mat).m[3][0] = 2.0f; U(mat).m[3][1] = 3.0f; U(mat).m[3][2] = -4.0f;
 787     U(mat).m[0][0] = 10.0f; U(mat).m[1][1] = 20.0f; U(mat).m[2][2] = 30.0f;
 788     U(mat).m[3][3] = 48.0f;
 789     expectedquat.x = 2.368682f; expectedquat.y = 0.768221f; expectedquat.z = -0.384111f; expectedquat.w = 3.905125f;
 790     D3DXQuaternionRotationMatrix(&gotquat,&mat);
 791     expect_vec4(expectedquat,gotquat);
 792     /* test the case when the greater element is (2,2) */
 793     U(mat).m[0][1] = 5.0f; U(mat).m[0][2] = 7.0f; U(mat).m[0][3] = 8.0f;
 794     U(mat).m[1][0] = 11.0f; U(mat).m[1][2] = 16.0f; U(mat).m[1][3] = 33.0f;
 795     U(mat).m[2][0] = 19.0f; U(mat).m[2][1] = -21.0f; U(mat).m[2][3] = 43.0f;
 796     U(mat).m[3][0] = 2.0f; U(mat).m[3][1] = 3.0f; U(mat).m[3][2] = -4.0f;
 797     U(mat).m[0][0] = -10.0f; U(mat).m[1][1] = -60.0f; U(mat).m[2][2] = 40.0f;
 798     U(mat).m[3][3] = 48.0f;
 799     expectedquat.x = 1.233905f; expectedquat.y = -0.237290f; expectedquat.z = 5.267827f; expectedquat.w = -0.284747f;
 800     D3DXQuaternionRotationMatrix(&gotquat,&mat);
 801     expect_vec4(expectedquat,gotquat);
 802     /* test the case when the greater element is (1,1) */
 803     U(mat).m[0][1] = 5.0f; U(mat).m[0][2] = 7.0f; U(mat).m[0][3] = 8.0f;
 804     U(mat).m[1][0] = 11.0f; U(mat).m[1][2] = 16.0f; U(mat).m[1][3] = 33.0f;
 805     U(mat).m[2][0] = 19.0f; U(mat).m[2][1] = -21.0f; U(mat).m[2][3] = 43.0f;
 806     U(mat).m[3][0] = 2.0f; U(mat).m[3][1] = 3.0f; U(mat).m[3][2] = -4.0f;
 807     U(mat).m[0][0] = -10.0f; U(mat).m[1][1] = 60.0f; U(mat).m[2][2] = -80.0f;
 808     U(mat).m[3][3] = 48.0f;
 809     expectedquat.x = 0.651031f; expectedquat.y = 6.144103f; expectedquat.z = -0.203447f; expectedquat.w = 0.488273f;
 810     D3DXQuaternionRotationMatrix(&gotquat,&mat);
 811     expect_vec4(expectedquat,gotquat);
 812     /* test the case when the trace is near 0 in a matrix which is not a rotation */
 813     U(mat).m[0][1] = 5.0f; U(mat).m[0][2] = 7.0f; U(mat).m[0][3] = 8.0f;
 814     U(mat).m[1][0] = 11.0f; U(mat).m[1][2] = 16.0f; U(mat).m[1][3] = 33.0f;
 815     U(mat).m[2][0] = 19.0f; U(mat).m[2][1] = -21.0f; U(mat).m[2][3] = 43.0f;
 816     U(mat).m[3][0] = 2.0f; U(mat).m[3][1] = 3.0f; U(mat).m[3][2] = -4.0f;
 817     U(mat).m[0][0] = -10.0f; U(mat).m[1][1] = 10.0f; U(mat).m[2][2] = -0.9f;
 818     U(mat).m[3][3] = 48.0f;
 819     expectedquat.x = 1.709495f; expectedquat.y = 2.339872f; expectedquat.z = -0.534217f; expectedquat.w = 1.282122f;
 820     D3DXQuaternionRotationMatrix(&gotquat,&mat);
 821     expect_vec4(expectedquat,gotquat);
 822     /* test the case when the trace is 0.49 in a matrix which is not a rotation */
 823     U(mat).m[0][1] = 5.0f; U(mat).m[0][2] = 7.0f; U(mat).m[0][3] = 8.0f;
 824     U(mat).m[1][0] = 11.0f; U(mat).m[1][2] = 16.0f; U(mat).m[1][3] = 33.0f;
 825     U(mat).m[2][0] = 19.0f; U(mat).m[2][1] = -21.0f; U(mat).m[2][3] = 43.0f;
 826     U(mat).m[3][0] = 2.0f; U(mat).m[3][1] = 3.0f; U(mat).m[3][2] = -4.0f;
 827     U(mat).m[0][0] = -10.0f; U(mat).m[1][1] = 10.0f; U(mat).m[2][2] = -0.51f;
 828     U(mat).m[3][3] = 48.0f;
 829     expectedquat.x = 1.724923f; expectedquat.y = 2.318944f; expectedquat.z = -0.539039f; expectedquat.w = 1.293692f;
 830     D3DXQuaternionRotationMatrix(&gotquat,&mat);
 831     expect_vec4(expectedquat,gotquat);
 832     /* test the case when the trace is 0.51 in a matrix which is not a rotation */
 833     U(mat).m[0][1] = 5.0f; U(mat).m[0][2] = 7.0f; U(mat).m[0][3] = 8.0f;
 834     U(mat).m[1][0] = 11.0f; U(mat).m[1][2] = 16.0f; U(mat).m[1][3] = 33.0f;
 835     U(mat).m[2][0] = 19.0f; U(mat).m[2][1] = -21.0f; U(mat).m[2][3] = 43.0f;
 836     U(mat).m[3][0] = 2.0f; U(mat).m[3][1] = 3.0f; U(mat).m[3][2] = -4.0f;
 837     U(mat).m[0][0] = -10.0f; U(mat).m[1][1] = 10.0f; U(mat).m[2][2] = -0.49f;
 838     U(mat).m[3][3] = 48.0f;
 839     expectedquat.x = 1.725726f; expectedquat.y = 2.317865f; expectedquat.z = -0.539289f; expectedquat.w = 1.294294f;
 840     D3DXQuaternionRotationMatrix(&gotquat,&mat);
 841     expect_vec4(expectedquat,gotquat);
 842     /* test the case when the trace is 0.99 in a matrix which is not a rotation */
 843     U(mat).m[0][1] = 5.0f; U(mat).m[0][2] = 7.0f; U(mat).m[0][3] = 8.0f;
 844     U(mat).m[1][0] = 11.0f; U(mat).m[1][2] = 16.0f; U(mat).m[1][3] = 33.0f;
 845     U(mat).m[2][0] = 19.0f; U(mat).m[2][1] = -21.0f; U(mat).m[2][3] = 43.0f;
 846     U(mat).m[3][0] = 2.0f; U(mat).m[3][1] = 3.0f; U(mat).m[3][2] = -4.0f;
 847     U(mat).m[0][0] = -10.0f; U(mat).m[1][1] = 10.0f; U(mat).m[2][2] = -0.01f;
 848     U(mat).m[3][3] = 48.0f;
 849     expectedquat.x = 1.745328f; expectedquat.y = 2.291833f; expectedquat.z = -0.545415f; expectedquat.w = 1.308996f;
 850     D3DXQuaternionRotationMatrix(&gotquat,&mat);
 851     expect_vec4(expectedquat,gotquat);
 852     /* test the case when the trace is 1.0 in a matrix which is not a rotation */
 853     U(mat).m[0][1] = 5.0f; U(mat).m[0][2] = 7.0f; U(mat).m[0][3] = 8.0f;
 854     U(mat).m[1][0] = 11.0f; U(mat).m[1][2] = 16.0f; U(mat).m[1][3] = 33.0f;
 855     U(mat).m[2][0] = 19.0f; U(mat).m[2][1] = -21.0f; U(mat).m[2][3] = 43.0f;
 856     U(mat).m[3][0] = 2.0f; U(mat).m[3][1] = 3.0f; U(mat).m[3][2] = -4.0f;
 857     U(mat).m[0][0] = -10.0f; U(mat).m[1][1] = 10.0f; U(mat).m[2][2] = 0.0f;
 858     U(mat).m[3][3] = 48.0f;
 859     expectedquat.x = 1.745743f; expectedquat.y = 2.291288f; expectedquat.z = -0.545545f; expectedquat.w = 1.309307f;
 860     D3DXQuaternionRotationMatrix(&gotquat,&mat);
 861     expect_vec4(expectedquat,gotquat);
 862     /* test the case when the trace is 1.01 in a matrix which is not a rotation */
 863     U(mat).m[0][1] = 5.0f; U(mat).m[0][2] = 7.0f; U(mat).m[0][3] = 8.0f;
 864     U(mat).m[1][0] = 11.0f; U(mat).m[1][2] = 16.0f; U(mat).m[1][3] = 33.0f;
 865     U(mat).m[2][0] = 19.0f; U(mat).m[2][1] = -21.0f; U(mat).m[2][3] = 43.0f;
 866     U(mat).m[3][0] = 2.0f; U(mat).m[3][1] = 3.0f; U(mat).m[3][2] = -4.0f;
 867     U(mat).m[0][0] = -10.0f; U(mat).m[1][1] = 10.0f; U(mat).m[2][2] = 0.01f;
 868     U(mat).m[3][3] = 48.0f;
 869     expectedquat.x = 18.408188f; expectedquat.y = 5.970223f; expectedquat.z = -2.985111f; expectedquat.w = 0.502494f;
 870     D3DXQuaternionRotationMatrix(&gotquat,&mat);
 871     expect_vec4(expectedquat,gotquat);
 872     /* test the case when the trace is 1.5 in a matrix which is not a rotation */
 873     U(mat).m[0][1] = 5.0f; U(mat).m[0][2] = 7.0f; U(mat).m[0][3] = 8.0f;
 874     U(mat).m[1][0] = 11.0f; U(mat).m[1][2] = 16.0f; U(mat).m[1][3] = 33.0f;
 875     U(mat).m[2][0] = 19.0f; U(mat).m[2][1] = -21.0f; U(mat).m[2][3] = 43.0f;
 876     U(mat).m[3][0] = 2.0f; U(mat).m[3][1] = 3.0f; U(mat).m[3][2] = -4.0f;
 877     U(mat).m[0][0] = -10.0f; U(mat).m[1][1] = 10.0f; U(mat).m[2][2] = 0.5f;
 878     U(mat).m[3][3] = 48.0f;
 879     expectedquat.x = 15.105186f; expectedquat.y = 4.898980f; expectedquat.z = -2.449490f; expectedquat.w = 0.612372f;
 880     D3DXQuaternionRotationMatrix(&gotquat,&mat);
 881     expect_vec4(expectedquat,gotquat);
 882     /* test the case when the trace is 1.7 in a matrix which is not a rotation */
 883     U(mat).m[0][1] = 5.0f; U(mat).m[0][2] = 7.0f; U(mat).m[0][3] = 8.0f;
 884     U(mat).m[1][0] = 11.0f; U(mat).m[1][2] = 16.0f; U(mat).m[1][3] = 33.0f;
 885     U(mat).m[2][0] = 19.0f; U(mat).m[2][1] = -21.0f; U(mat).m[2][3] = 43.0f;
 886     U(mat).m[3][0] = 2.0f; U(mat).m[3][1] = 3.0f; U(mat).m[3][2] = -4.0f;
 887     U(mat).m[0][0] = -10.0f; U(mat).m[1][1] = 10.0f; U(mat).m[2][2] = 0.70f;
 888     U(mat).m[3][3] = 48.0f;
 889     expectedquat.x = 14.188852f; expectedquat.y = 4.601790f; expectedquat.z = -2.300895f; expectedquat.w = 0.651920f;
 890     D3DXQuaternionRotationMatrix(&gotquat,&mat);
 891     expect_vec4(expectedquat,gotquat);
 892     /* test the case when the trace is 1.99 in a matrix which is not a rotation */
 893     U(mat).m[0][1] = 5.0f; U(mat).m[0][2] = 7.0f; U(mat).m[0][3] = 8.0f;
 894     U(mat).m[1][0] = 11.0f; U(mat).m[1][2] = 16.0f; U(mat).m[1][3] = 33.0f;
 895     U(mat).m[2][0] = 19.0f; U(mat).m[2][1] = -21.0f; U(mat).m[2][3] = 43.0f;
 896     U(mat).m[3][0] = 2.0f; U(mat).m[3][1] = 3.0f; U(mat).m[3][2] = -4.0f;
 897     U(mat).m[0][0] = -10.0f; U(mat).m[1][1] = 10.0f; U(mat).m[2][2] = 0.99f;
 898     U(mat).m[3][3] = 48.0f;
 899     expectedquat.x = 13.114303f; expectedquat.y = 4.253287f; expectedquat.z = -2.126644f; expectedquat.w = 0.705337f;
 900     D3DXQuaternionRotationMatrix(&gotquat,&mat);
 901     expect_vec4(expectedquat,gotquat);
 902     /* test the case when the trace is 2.0 in a matrix which is not a rotation */
 903     U(mat).m[0][1] = 5.0f; U(mat).m[0][2] = 7.0f; U(mat).m[0][3] = 8.0f;
 904     U(mat).m[1][0] = 11.0f; U(mat).m[1][2] = 16.0f; U(mat).m[1][3] = 33.0f;
 905     U(mat).m[2][0] = 19.0f; U(mat).m[2][1] = -21.0f; U(mat).m[2][3] = 43.0f;
 906     U(mat).m[3][0] = 2.0f; U(mat).m[3][1] = 3.0f; U(mat).m[3][2] = -4.0f;
 907     U(mat).m[0][0] = -10.0f; U(mat).m[1][1] = 10.0f; U(mat).m[2][2] = 2.0f;
 908     U(mat).m[3][3] = 48.0f;
 909     expectedquat.x = 10.680980f; expectedquat.y = 3.464102f; expectedquat.z = -1.732051f; expectedquat.w = 0.866025f;
 910     D3DXQuaternionRotationMatrix(&gotquat,&mat);
 911     expect_vec4(expectedquat,gotquat);
 912
 913 /*_______________D3DXQuaternionRotationYawPitchRoll__________*/
 914     expectedquat.x = 0.303261f; expectedquat.y = 0.262299f; expectedquat.z = 0.410073f; expectedquat.w = 0.819190f;
 915     D3DXQuaternionRotationYawPitchRoll(&gotquat,D3DX_PI/4.0f,D3DX_PI/11.0f,D3DX_PI/3.0f);
 916     expect_vec4(expectedquat,gotquat);
 917
 918 /*_______________D3DXQuaternionSlerp________________________*/
 919     expectedquat.x = -0.2f; expectedquat.y = 2.6f; expectedquat.z = 1.3f; expectedquat.w = 9.1f;
 920     D3DXQuaternionSlerp(&gotquat,&q,&r,scale);
 921     expect_vec4(expectedquat,gotquat);
 922     expectedquat.x = 334.0f; expectedquat.y = -31.9f; expectedquat.z = 6.1f; expectedquat.w = 6.7f;
 923     D3DXQuaternionSlerp(&gotquat,&q,&t,scale);
 924     expect_vec4(expectedquat,gotquat);
 925     expectedquat.x = 0.239485f; expectedquat.y = 0.346580f; expectedquat.z = 0.453676f; expectedquat.w = 0.560772f;
 926     D3DXQuaternionSlerp(&gotquat,&smallq,&smallr,scale);
 927     expect_vec4(expectedquat,gotquat);
 928
 929 /*_______________D3DXQuaternionSquad________________________*/
 930     expectedquat.x = -156.296f; expectedquat.y = 30.242f; expectedquat.z = -2.5022f; expectedquat.w = 7.3576f;
 931     D3DXQuaternionSquad(&gotquat,&q,&r,&t,&u,scale);
 932     expect_vec4(expectedquat,gotquat);
 933
 934 /*_______________D3DXQuaternionToAxisAngle__________________*/
 935     Nq.x = 1.0f/22.0f; Nq.y = 2.0f/22.0f; Nq.z = 4.0f/22.0f; Nq.w = 10.0f/22.0f;
 936     expectedvec.x = 1.0f/22.0f; expectedvec.y = 2.0f/22.0f; expectedvec.z = 4.0f/22.0f;
 937     expected = 2.197869f;
 938     D3DXQuaternionToAxisAngle(&Nq,&axis,&angle);
 939     expect_vec3(expectedvec,axis);
 940     ok(relative_error(angle,  expected ) < admitted_error, "Expected: %f, Got: %f\n", expected, angle);
 941     /* Test if |w|>1.0f */
 942     expectedvec.x = 1.0f; expectedvec.y = 2.0f; expectedvec.z = 4.0f;
 943     expected = 0.0f;
 944     D3DXQuaternionToAxisAngle(&q,&axis,&angle);
 945     expect_vec3(expectedvec,axis);
 946     /* Test the null quaternion */
 947     expectedvec.x = 0.0f; expectedvec.y = 0.0f; expectedvec.z = 0.0f;
 948     expected = 3.141593f;
 949     D3DXQuaternionToAxisAngle(&nul,&axis,&angle);
 950     expect_vec3(expectedvec,axis);
 951     ok(relative_error(angle, expected ) < admitted_error, "Expected: %f, Got: %f\n", expected, angle);
 952 }
 953
 954 static void D3DXVector2Test(void)
 955 {
 956     D3DXVECTOR2 expectedvec, gotvec, nul, u, v, w, x;
 957     LPD3DXVECTOR2 funcpointer;
 958     D3DXVECTOR4 expectedtrans, gottrans;
 959     D3DXMATRIX mat;
 960     FLOAT coeff1, coeff2, expected, got, scale;
 961
 962     nul.x = 0.0f; nul.y = 0.0f;
 963     u.x = 3.0f; u.y = 4.0f;
 964     v.x = -7.0f; v.y = 9.0f;
 965     w.x = 4.0f; w.y = -3.0f;
 966     x.x = 2.0f; x.y = -11.0f;
 967
 968     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;
 969     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;
 970     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;
 971     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;
 972
 973     coeff1 = 2.0f; coeff2 = 5.0f;
 974     scale = -6.5f;
 975
 976 /*_______________D3DXVec2Add__________________________*/
 977     expectedvec.x = -4.0f; expectedvec.y = 13.0f;
 978     D3DXVec2Add(&gotvec,&u,&v);
 979     expect_vec(expectedvec,gotvec);
 980     /* Tests the case NULL */
 981     funcpointer = D3DXVec2Add(&gotvec,NULL,&v);
 982     ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);
 983     funcpointer = D3DXVec2Add(NULL,NULL,NULL);
 984     ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);
 985
 986 /*_______________D3DXVec2BaryCentric___________________*/
 987     expectedvec.x = -12.0f; expectedvec.y = -21.0f;
 988     D3DXVec2BaryCentric(&gotvec,&u,&v,&w,coeff1,coeff2);
 989     expect_vec(expectedvec,gotvec);
 990
 991 /*_______________D3DXVec2CatmullRom____________________*/
 992     expectedvec.x = 5820.25f; expectedvec.y = -3654.5625f;
 993     D3DXVec2CatmullRom(&gotvec,&u,&v,&w,&x,scale);
 994     expect_vec(expectedvec,gotvec);
 995
 996 /*_______________D3DXVec2CCW__________________________*/
 997    expected = 55.0f;
 998    got = D3DXVec2CCW(&u,&v);
 999    ok(relative_error(got, expected ) < admitted_error, "Expected: %f, Got: %f\n", expected, got);
1000    /* Tests the case NULL */
1001     expected=0.0f;
1002     got = D3DXVec2CCW(NULL,&v);
1003     ok(relative_error(got, expected ) < admitted_error, "Expected: %f, Got: %f\n", expected, got);
1004     expected=0.0f;
1005     got = D3DXVec2CCW(NULL,NULL);
1006     ok(relative_error(got, expected ) < admitted_error, "Expected: %f, Got: %f\n", expected, got);
1007
1008 /*_______________D3DXVec2Dot__________________________*/
1009     expected = 15.0f;
1010     got = D3DXVec2Dot(&u,&v);
1011     ok(relative_error(got,  expected ) < admitted_error, "Expected: %f, Got: %f\n", expected, got);
1012     /* Tests the case NULL */
1013     expected=0.0f;
1014     got = D3DXVec2Dot(NULL,&v);
1015     ok(relative_error(got, expected ) < admitted_error, "Expected: %f, Got: %f\n", expected, got);
1016     expected=0.0f;
1017     got = D3DXVec2Dot(NULL,NULL);
1018     ok(relative_error(got, expected ) < admitted_error, "Expected: %f, Got: %f\n", expected, got);
1019
1020 /*_______________D3DXVec2Hermite__________________________*/
1021     expectedvec.x = 2604.625f; expectedvec.y = -4533.0f;
1022     D3DXVec2Hermite(&gotvec,&u,&v,&w,&x,scale);
1023     expect_vec(expectedvec,gotvec);
1024
1025 /*_______________D3DXVec2Length__________________________*/
1026    expected = 5.0f;
1027    got = D3DXVec2Length(&u);
1028    ok(relative_error(got, expected ) < admitted_error, "Expected: %f, Got: %f\n", expected, got);
1029    /* Tests the case NULL */
1030     expected=0.0f;
1031     got = D3DXVec2Length(NULL);
1032     ok(relative_error(got, expected ) < admitted_error, "Expected: %f, Got: %f\n", expected, got);
1033
1034 /*_______________D3DXVec2LengthSq________________________*/
1035    expected = 25.0f;
1036    got = D3DXVec2LengthSq(&u);
1037    ok(relative_error(got, expected ) < admitted_error, "Expected: %f, Got: %f\n", expected, got);
1038    /* Tests the case NULL */
1039     expected=0.0f;
1040     got = D3DXVec2LengthSq(NULL);
1041     ok(relative_error(got, expected ) < admitted_error, "Expected: %f, Got: %f\n", expected, got);
1042
1043 /*_______________D3DXVec2Lerp__________________________*/
1044    expectedvec.x = 68.0f; expectedvec.y = -28.5f;
1045    D3DXVec2Lerp(&gotvec,&u,&v,scale);
1046    expect_vec(expectedvec,gotvec);
1047    /* Tests the case NULL */
1048     funcpointer = D3DXVec2Lerp(&gotvec,NULL,&v,scale);
1049     ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);
1050     funcpointer = D3DXVec2Lerp(NULL,NULL,NULL,scale);
1051     ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);
1052
1053 /*_______________D3DXVec2Maximize__________________________*/
1054    expectedvec.x = 3.0f; expectedvec.y = 9.0f;
1055    D3DXVec2Maximize(&gotvec,&u,&v);
1056    expect_vec(expectedvec,gotvec);
1057    /* Tests the case NULL */
1058     funcpointer = D3DXVec2Maximize(&gotvec,NULL,&v);
1059     ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);
1060     funcpointer = D3DXVec2Maximize(NULL,NULL,NULL);
1061     ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);
1062
1063 /*_______________D3DXVec2Minimize__________________________*/
1064     expectedvec.x = -7.0f; expectedvec.y = 4.0f;
1065     D3DXVec2Minimize(&gotvec,&u,&v);
1066     expect_vec(expectedvec,gotvec);
1067     /* Tests the case NULL */
1068     funcpointer = D3DXVec2Minimize(&gotvec,NULL,&v);
1069     ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);
1070     funcpointer = D3DXVec2Minimize(NULL,NULL,NULL);
1071     ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);
1072
1073 /*_______________D3DXVec2Normalize_________________________*/
1074     expectedvec.x = 0.6f; expectedvec.y = 0.8f;
1075     D3DXVec2Normalize(&gotvec,&u);
1076     expect_vec(expectedvec,gotvec);
1077     /* Test the nul vector */
1078     expectedvec.x = 0.0f; expectedvec.y = 0.0f;
1079     D3DXVec2Normalize(&gotvec,&nul);
1080     expect_vec(expectedvec,gotvec);
1081
1082 /*_______________D3DXVec2Scale____________________________*/
1083     expectedvec.x = -19.5f; expectedvec.y = -26.0f;
1084     D3DXVec2Scale(&gotvec,&u,scale);
1085     expect_vec(expectedvec,gotvec);
1086     /* Tests the case NULL */
1087     funcpointer = D3DXVec2Scale(&gotvec,NULL,scale);
1088     ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);
1089     funcpointer = D3DXVec2Scale(NULL,NULL,scale);
1090     ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);
1091
1092 /*_______________D3DXVec2Subtract__________________________*/
1093    expectedvec.x = 10.0f; expectedvec.y = -5.0f;
1094    D3DXVec2Subtract(&gotvec,&u,&v);
1095    expect_vec(expectedvec,gotvec);
1096    /* Tests the case NULL */
1097     funcpointer = D3DXVec2Subtract(&gotvec,NULL,&v);
1098     ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);
1099     funcpointer = D3DXVec2Subtract(NULL,NULL,NULL);
1100     ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);
1101
1102 /*_______________D3DXVec2Transform_______________________*/
1103     expectedtrans.x = 36.0f; expectedtrans.y = 44.0f; expectedtrans.z = 52.0f; expectedtrans.w = 60.0f;
1104     D3DXVec2Transform(&gottrans,&u,&mat);
1105     expect_vec4(expectedtrans,gottrans);
1106
1107 /*_______________D3DXVec2TransformCoord_______________________*/
1108     expectedvec.x = 0.6f; expectedvec.y = 11.0f/15.0f;
1109     D3DXVec2TransformCoord(&gotvec,&u,&mat);
1110     expect_vec(expectedvec,gotvec);
1111
1112  /*_______________D3DXVec2TransformNormal______________________*/
1113     expectedvec.x = 23.0f; expectedvec.y = 30.0f;
1114     D3DXVec2TransformNormal(&gotvec,&u,&mat);
1115     expect_vec(expectedvec,gotvec);
1116 }
1117
1118 static void D3DXVector3Test(void)
1119 {
1120     D3DVIEWPORT9 viewport;
1121     D3DXVECTOR3 expectedvec, gotvec, nul, u, v, w, x;
1122     LPD3DXVECTOR3 funcpointer;
1123     D3DXVECTOR4 expectedtrans, gottrans;
1124     D3DXMATRIX mat, projection, view, world;
1125     FLOAT coeff1, coeff2, expected, got, scale;
1126
1127     nul.x = 0.0f; nul.y = 0.0f; nul.z = 0.0f;
1128     u.x = 9.0f; u.y = 6.0f; u.z = 2.0f;
1129     v.x = 2.0f; v.y = -3.0f; v.z = -4.0;
1130     w.x = 3.0f; w.y = -5.0f; w.z = 7.0f;
1131     x.x = 4.0f; x.y = 1.0f; x.z = 11.0f;
1132
1133     viewport.Width = 800; viewport.MinZ = 0.2f; viewport.X = 10;
1134     viewport.Height = 680; viewport.MaxZ = 0.9f; viewport.Y = 5;
1135
1136     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;
1137     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;
1138     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;
1139     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;
1140
1141     U(view).m[0][1] = 5.0f; U(view).m[0][2] = 7.0f; U(view).m[0][3] = 8.0f;
1142     U(view).m[1][0] = 11.0f; U(view).m[1][2] = 16.0f; U(view).m[1][3] = 33.0f;
1143     U(view).m[2][0] = 19.0f; U(view).m[2][1] = -21.0f; U(view).m[2][3] = 43.0f;
1144     U(view).m[3][0] = 2.0f; U(view).m[3][1] = 3.0f; U(view).m[3][2] = -4.0f;
1145     U(view).m[0][0] = 10.0f; U(view).m[1][1] = 20.0f; U(view).m[2][2] = 30.0f;
1146     U(view).m[3][3] = -40.0f;
1147
1148     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;
1149     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;
1150     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;
1151     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;
1152
1153     coeff1 = 2.0f; coeff2 = 5.0f;
1154     scale = -6.5f;
1155
1156 /*_______________D3DXVec3Add__________________________*/
1157     expectedvec.x = 11.0f; expectedvec.y = 3.0f; expectedvec.z = -2.0f;
1158     D3DXVec3Add(&gotvec,&u,&v);
1159     expect_vec3(expectedvec,gotvec);
1160     /* Tests the case NULL */
1161     funcpointer = D3DXVec3Add(&gotvec,NULL,&v);
1162     ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);
1163     funcpointer = D3DXVec3Add(NULL,NULL,NULL);
1164     ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);
1165
1166 /*_______________D3DXVec3BaryCentric___________________*/
1167     expectedvec.x = -35.0f; expectedvec.y = -67.0; expectedvec.z = 15.0f;
1168     D3DXVec3BaryCentric(&gotvec,&u,&v,&w,coeff1,coeff2);
1169
1170     expect_vec3(expectedvec,gotvec);
1171
1172 /*_______________D3DXVec3CatmullRom____________________*/
1173     expectedvec.x = 1458.0f; expectedvec.y = 22.1875f; expectedvec.z = 4141.375f;
1174     D3DXVec3CatmullRom(&gotvec,&u,&v,&w,&x,scale);
1175     expect_vec3(expectedvec,gotvec);
1176
1177 /*_______________D3DXVec3Cross________________________*/
1178     expectedvec.x = -18.0f; expectedvec.y = 40.0f; expectedvec.z = -39.0f;
1179     D3DXVec3Cross(&gotvec,&u,&v);
1180     expect_vec3(expectedvec,gotvec);
1181     /* Tests the case NULL */
1182     funcpointer = D3DXVec3Cross(&gotvec,NULL,&v);
1183     ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);
1184     funcpointer = D3DXVec3Cross(NULL,NULL,NULL);
1185     ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);
1186
1187 /*_______________D3DXVec3Dot__________________________*/
1188     expected = -8.0f;
1189     got = D3DXVec3Dot(&u,&v);
1190     ok(relative_error(got, expected ) < admitted_error, "Expected: %f, Got: %f\n", expected, got);
1191     /* Tests the case NULL */
1192     expected=0.0f;
1193     got = D3DXVec3Dot(NULL,&v);
1194     ok(relative_error(got, expected ) < admitted_error, "Expected: %f, Got: %f\n", expected, got);
1195     expected=0.0f;
1196     got = D3DXVec3Dot(NULL,NULL);
1197     ok(relative_error(got, expected ) < admitted_error, "Expected: %f, Got: %f\n", expected, got);
1198
1199 /*_______________D3DXVec3Hermite__________________________*/
1200     expectedvec.x = -6045.75f; expectedvec.y = -6650.0f; expectedvec.z = 1358.875f;
1201     D3DXVec3Hermite(&gotvec,&u,&v,&w,&x,scale);
1202     expect_vec3(expectedvec,gotvec);
1203
1204 /*_______________D3DXVec3Length__________________________*/
1205    expected = 11.0f;
1206    got = D3DXVec3Length(&u);
1207    ok(relative_error(got, expected ) < admitted_error, "Expected: %f, Got: %f\n", expected, got);
1208    /* Tests the case NULL */
1209     expected=0.0f;
1210     got = D3DXVec3Length(NULL);
1211     ok(relative_error(got, expected ) < admitted_error, "Expected: %f, Got: %f\n", expected, got);
1212
1213 /*_______________D3DXVec3LengthSq________________________*/
1214     expected = 121.0f;
1215     got = D3DXVec3LengthSq(&u);
1216     ok(relative_error(got, expected ) < admitted_error, "Expected: %f, Got: %f\n", expected, got);
1217    /* Tests the case NULL */
1218     expected=0.0f;
1219     got = D3DXVec3LengthSq(NULL);
1220     ok(relative_error(got, expected ) < admitted_error, "Expected: %f, Got: %f\n", expected, got);
1221
1222 /*_______________D3DXVec3Lerp__________________________*/
1223     expectedvec.x = 54.5f; expectedvec.y = 64.5f, expectedvec.z = 41.0f ;
1224     D3DXVec3Lerp(&gotvec,&u,&v,scale);
1225     expect_vec3(expectedvec,gotvec);
1226     /* Tests the case NULL */
1227     funcpointer = D3DXVec3Lerp(&gotvec,NULL,&v,scale);
1228     ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);
1229     funcpointer = D3DXVec3Lerp(NULL,NULL,NULL,scale);
1230     ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);
1231
1232 /*_______________D3DXVec3Maximize__________________________*/
1233     expectedvec.x = 9.0f; expectedvec.y = 6.0f; expectedvec.z = 2.0f;
1234     D3DXVec3Maximize(&gotvec,&u,&v);
1235     expect_vec3(expectedvec,gotvec);
1236     /* Tests the case NULL */
1237     funcpointer = D3DXVec3Maximize(&gotvec,NULL,&v);
1238     ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);
1239     funcpointer = D3DXVec3Maximize(NULL,NULL,NULL);
1240     ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);
1241
1242 /*_______________D3DXVec3Minimize__________________________*/
1243     expectedvec.x = 2.0f; expectedvec.y = -3.0f; expectedvec.z = -4.0f;
1244     D3DXVec3Minimize(&gotvec,&u,&v);
1245     expect_vec3(expectedvec,gotvec);
1246     /* Tests the case NULL */
1247     funcpointer = D3DXVec3Minimize(&gotvec,NULL,&v);
1248     ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);
1249     funcpointer = D3DXVec3Minimize(NULL,NULL,NULL);
1250     ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);
1251
1252 /*_______________D3DXVec3Normalize_________________________*/
1253     expectedvec.x = 9.0f/11.0f; expectedvec.y = 6.0f/11.0f; expectedvec.z = 2.0f/11.0f;
1254     D3DXVec3Normalize(&gotvec,&u);
1255     expect_vec3(expectedvec,gotvec);
1256     /* Test the nul vector */
1257     expectedvec.x = 0.0f; expectedvec.y = 0.0f; expectedvec.z = 0.0f;
1258     D3DXVec3Normalize(&gotvec,&nul);
1259     expect_vec3(expectedvec,gotvec);
1260
1261 /*_______________D3DXVec3Project_________________________*/
1262     expectedvec.x = 1135.721924f; expectedvec.y = 147.086914f; expectedvec.z = 0.153412f;
1263     D3DXMatrixPerspectiveFovLH(&projection,D3DX_PI/4.0f,20.0f/17.0f,1.0f,1000.0f);
1264     D3DXVec3Project(&gotvec,&u,&viewport,&projection,&view,&world);
1265     expect_vec3(expectedvec,gotvec);
1266
1267 /*_______________D3DXVec3Scale____________________________*/
1268     expectedvec.x = -58.5f; expectedvec.y = -39.0f; expectedvec.z = -13.0f;
1269     D3DXVec3Scale(&gotvec,&u,scale);
1270     expect_vec3(expectedvec,gotvec);
1271     /* Tests the case NULL */
1272     funcpointer = D3DXVec3Scale(&gotvec,NULL,scale);
1273     ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);
1274     funcpointer = D3DXVec3Scale(NULL,NULL,scale);
1275     ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);
1276
1277 /*_______________D3DXVec3Subtract_______________________*/
1278     expectedvec.x = 7.0f; expectedvec.y = 9.0f; expectedvec.z = 6.0f;
1279     D3DXVec3Subtract(&gotvec,&u,&v);
1280     expect_vec3(expectedvec,gotvec);
1281     /* Tests the case NULL */
1282     funcpointer = D3DXVec3Subtract(&gotvec,NULL,&v);
1283     ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);
1284     funcpointer = D3DXVec3Subtract(NULL,NULL,NULL);
1285     ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);
1286
1287 /*_______________D3DXVec3Transform_______________________*/
1288     expectedtrans.x = 70.0f; expectedtrans.y = 88.0f; expectedtrans.z = 106.0f; expectedtrans.w = 124.0f;
1289     D3DXVec3Transform(&gottrans,&u,&mat);
1290     expect_vec4(expectedtrans,gottrans);
1291
1292 /*_______________D3DXVec3TransformCoord_______________________*/
1293     expectedvec.x = 70.0f/124.0f; expectedvec.y = 88.0f/124.0f; expectedvec.z = 106.0f/124.0f;
1294     D3DXVec3TransformCoord(&gotvec,&u,&mat);
1295     expect_vec3(expectedvec,gotvec);
1296
1297 /*_______________D3DXVec3TransformNormal______________________*/
1298     expectedvec.x = 57.0f; expectedvec.y = 74.0f; expectedvec.z = 91.0f;
1299     D3DXVec3TransformNormal(&gotvec,&u,&mat);
1300     expect_vec3(expectedvec,gotvec);
1301
1302 /*_______________D3DXVec3Unproject_________________________*/
1303     expectedvec.x = -2.913411f; expectedvec.y = 1.593215f; expectedvec.z = 0.380724f;
1304     D3DXMatrixPerspectiveFovLH(&projection,D3DX_PI/4.0f,20.0f/17.0f,1.0f,1000.0f);
1305     D3DXVec3Unproject(&gotvec,&u,&viewport,&projection,&view,&world);
1306     expect_vec3(expectedvec,gotvec);
1307 }
1308
1309 static void D3DXVector4Test(void)
1310 {
1311     D3DXVECTOR4 expectedvec, gotvec, nul, u, v, w, x;
1312     LPD3DXVECTOR4 funcpointer;
1313     D3DXVECTOR4 expectedtrans, gottrans;
1314     D3DXMATRIX mat;
1315     FLOAT coeff1, coeff2, expected, got, scale;
1316
1317     nul.x = 0.0f; nul.y = 0.0f; nul.z = 0.0f; nul.w = 0.0f;
1318     u.x = 1.0f; u.y = 2.0f; u.z = 4.0f; u.w = 10.0;
1319     v.x = -3.0f; v.y = 4.0f; v.z = -5.0f; v.w = 7.0;
1320     w.x = 4.0f; w.y =6.0f; w.z = -2.0f; w.w = 1.0f;
1321     x.x = 6.0f; x.y = -7.0f; x.z =8.0f; x.w = -9.0f;
1322
1323     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;
1324     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;
1325     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;
1326     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;
1327
1328     coeff1 = 2.0f; coeff2 = 5.0;
1329     scale = -6.5f;
1330
1331 /*_______________D3DXVec4Add__________________________*/
1332     expectedvec.x = -2.0f; expectedvec.y = 6.0f; expectedvec.z = -1.0f; expectedvec.w = 17.0f;
1333     D3DXVec4Add(&gotvec,&u,&v);
1334     expect_vec4(expectedvec,gotvec);
1335     /* Tests the case NULL */
1336     funcpointer = D3DXVec4Add(&gotvec,NULL,&v);
1337     ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);
1338     funcpointer = D3DXVec4Add(NULL,NULL,NULL);
1339     ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);
1340
1341 /*_______________D3DXVec4BaryCentric____________________*/
1342     expectedvec.x = 8.0f; expectedvec.y = 26.0; expectedvec.z =  -44.0f; expectedvec.w = -41.0f;
1343     D3DXVec4BaryCentric(&gotvec,&u,&v,&w,coeff1,coeff2);
1344     expect_vec4(expectedvec,gotvec);
1345
1346 /*_______________D3DXVec4CatmullRom____________________*/
1347     expectedvec.x = 2754.625f; expectedvec.y = 2367.5625f; expectedvec.z = 1060.1875f; expectedvec.w = 131.3125f;
1348     D3DXVec4CatmullRom(&gotvec,&u,&v,&w,&x,scale);
1349     expect_vec4(expectedvec,gotvec);
1350
1351 /*_______________D3DXVec4Cross_________________________*/
1352     expectedvec.x = 390.0f; expectedvec.y = -393.0f; expectedvec.z = -316.0f; expectedvec.w = 166.0f;
1353     D3DXVec4Cross(&gotvec,&u,&v,&w);
1354     expect_vec4(expectedvec,gotvec);
1355
1356 /*_______________D3DXVec4Dot__________________________*/
1357     expected = 55.0f;
1358     got = D3DXVec4Dot(&u,&v);
1359     ok(relative_error(got, expected ) < admitted_error, "Expected: %f, Got: %f\n", expected, got);
1360     /* Tests the case NULL */
1361     expected=0.0f;
1362     got = D3DXVec4Dot(NULL,&v);
1363     ok(relative_error(got, expected ) < admitted_error, "Expected: %f, Got: %f\n", expected, got);
1364     expected=0.0f;
1365     got = D3DXVec4Dot(NULL,NULL);
1366     ok(relative_error(got, expected ) < admitted_error, "Expected: %f, Got: %f\n", expected, got);
1367
1368 /*_______________D3DXVec4Hermite_________________________*/
1369     expectedvec.x = 1224.625f; expectedvec.y = 3461.625f; expectedvec.z = -4758.875f; expectedvec.w = -5781.5f;
1370     D3DXVec4Hermite(&gotvec,&u,&v,&w,&x,scale);
1371     expect_vec4(expectedvec,gotvec);
1372
1373 /*_______________D3DXVec4Length__________________________*/
1374    expected = 11.0f;
1375    got = D3DXVec4Length(&u);
1376    ok(relative_error(got, expected ) < admitted_error, "Expected: %f, Got: %f\n", expected, got);
1377    /* Tests the case NULL */
1378     expected=0.0f;
1379     got = D3DXVec4Length(NULL);
1380     ok(relative_error(got, expected ) < admitted_error, "Expected: %f, Got: %f\n", expected, got);
1381
1382 /*_______________D3DXVec4LengthSq________________________*/
1383     expected = 121.0f;
1384     got = D3DXVec4LengthSq(&u);
1385     ok(relative_error(got, expected ) < admitted_error, "Expected: %f, Got: %f\n", expected, got);
1386     /* Tests the case NULL */
1387     expected=0.0f;
1388     got = D3DXVec4LengthSq(NULL);
1389     ok(relative_error(got, expected ) < admitted_error, "Expected: %f, Got: %f\n", expected, got);
1390
1391 /*_______________D3DXVec4Lerp__________________________*/
1392     expectedvec.x = 27.0f; expectedvec.y = -11.0f; expectedvec.z = 62.5;  expectedvec.w = 29.5;
1393     D3DXVec4Lerp(&gotvec,&u,&v,scale);
1394     expect_vec4(expectedvec,gotvec);
1395     /* Tests the case NULL */
1396     funcpointer = D3DXVec4Lerp(&gotvec,NULL,&v,scale);
1397     ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);
1398     funcpointer = D3DXVec4Lerp(NULL,NULL,NULL,scale);
1399     ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);
1400
1401 /*_______________D3DXVec4Maximize__________________________*/
1402     expectedvec.x = 1.0f; expectedvec.y = 4.0f; expectedvec.z = 4.0f; expectedvec.w = 10.0;
1403     D3DXVec4Maximize(&gotvec,&u,&v);
1404     expect_vec4(expectedvec,gotvec);
1405     /* Tests the case NULL */
1406     funcpointer = D3DXVec4Maximize(&gotvec,NULL,&v);
1407     ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);
1408     funcpointer = D3DXVec4Maximize(NULL,NULL,NULL);
1409     ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);
1410
1411 /*_______________D3DXVec4Minimize__________________________*/
1412     expectedvec.x = -3.0f; expectedvec.y = 2.0f; expectedvec.z = -5.0f; expectedvec.w = 7.0;
1413     D3DXVec4Minimize(&gotvec,&u,&v);
1414     expect_vec4(expectedvec,gotvec);
1415     /* Tests the case NULL */
1416     funcpointer = D3DXVec4Minimize(&gotvec,NULL,&v);
1417     ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);
1418     funcpointer = D3DXVec4Minimize(NULL,NULL,NULL);
1419     ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);
1420
1421 /*_______________D3DXVec4Normalize_________________________*/
1422     expectedvec.x = 1.0f/11.0f; expectedvec.y = 2.0f/11.0f; expectedvec.z = 4.0f/11.0f; expectedvec.w = 10.0f/11.0f;
1423     D3DXVec4Normalize(&gotvec,&u);
1424     expect_vec4(expectedvec,gotvec);
1425
1426 /*_______________D3DXVec4Scale____________________________*/
1427     expectedvec.x = -6.5f; expectedvec.y = -13.0f; expectedvec.z = -26.0f; expectedvec.w = -65.0f;
1428     D3DXVec4Scale(&gotvec,&u,scale);
1429     expect_vec4(expectedvec,gotvec);
1430     /* Tests the case NULL */
1431     funcpointer = D3DXVec4Scale(&gotvec,NULL,scale);
1432     ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);
1433     funcpointer = D3DXVec4Scale(NULL,NULL,scale);
1434     ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);
1435
1436 /*_______________D3DXVec4Subtract__________________________*/
1437     expectedvec.x = 4.0f; expectedvec.y = -2.0f; expectedvec.z = 9.0f; expectedvec.w = 3.0f;
1438     D3DXVec4Subtract(&gotvec,&u,&v);
1439     expect_vec4(expectedvec,gotvec);
1440     /* Tests the case NULL */
1441     funcpointer = D3DXVec4Subtract(&gotvec,NULL,&v);
1442     ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);
1443     funcpointer = D3DXVec4Subtract(NULL,NULL,NULL);
1444     ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);
1445
1446 /*_______________D3DXVec4Transform_______________________*/
1447     expectedtrans.x = 177.0f; expectedtrans.y = 194.0f; expectedtrans.z = 211.0f; expectedtrans.w = 228.0f;
1448     D3DXVec4Transform(&gottrans,&u,&mat);
1449     expect_vec4(expectedtrans,gottrans);
1450 }
1451
1452 static void test_matrix_stack(void)
1453 {
1454     ID3DXMatrixStack *stack;
1455     ULONG refcount;
1456     HRESULT hr;
1457
1458     const D3DXMATRIX mat1 = {{{
1459          1.0f,  2.0f,  3.0f,  4.0f,
1460          5.0f,  6.0f,  7.0f,  8.0f,
1461          9.0f, 10.0f, 11.0f, 12.0f,
1462         13.0f, 14.0f, 15.0f, 16.0f
1463     }}};
1464
1465     const D3DXMATRIX mat2 = {{{
1466         17.0f, 18.0f, 19.0f, 20.0f,
1467         21.0f, 22.0f, 23.0f, 24.0f,
1468         25.0f, 26.0f, 27.0f, 28.0f,
1469         29.0f, 30.0f, 31.0f, 32.0f
1470     }}};
1471
1472     hr = D3DXCreateMatrixStack(0, &stack);
1473     ok(SUCCEEDED(hr), "Failed to create a matrix stack, hr %#x\n", hr);
1474     if (FAILED(hr)) return;
1475
1476     ok(D3DXMatrixIsIdentity(ID3DXMatrixStack_GetTop(stack)),
1477             "The top of an empty matrix stack should be an identity matrix\n");
1478
1479     hr = ID3DXMatrixStack_Pop(stack);
1480     ok(SUCCEEDED(hr), "Pop failed, hr %#x\n", hr);
1481
1482     hr = ID3DXMatrixStack_Push(stack);
1483     ok(SUCCEEDED(hr), "Push failed, hr %#x\n", hr);
1484     ok(D3DXMatrixIsIdentity(ID3DXMatrixStack_GetTop(stack)), "The top should be an identity matrix\n");
1485
1486     hr = ID3DXMatrixStack_Push(stack);
1487     ok(SUCCEEDED(hr), "Push failed, hr %#x\n", hr);
1488
1489     hr = ID3DXMatrixStack_LoadMatrix(stack, &mat1);
1490     ok(SUCCEEDED(hr), "LoadMatrix failed, hr %#x\n", hr);
1491     expect_mat(&mat1, ID3DXMatrixStack_GetTop(stack));
1492
1493     hr = ID3DXMatrixStack_Push(stack);
1494     ok(SUCCEEDED(hr), "Push failed, hr %#x\n", hr);
1495     expect_mat(&mat1, ID3DXMatrixStack_GetTop(stack));
1496
1497     hr = ID3DXMatrixStack_LoadMatrix(stack, &mat2);
1498     ok(SUCCEEDED(hr), "LoadMatrix failed, hr %#x\n", hr);
1499     expect_mat(&mat2, ID3DXMatrixStack_GetTop(stack));
1500
1501     hr = ID3DXMatrixStack_Push(stack);
1502     ok(SUCCEEDED(hr), "Push failed, hr %#x\n", hr);
1503     expect_mat(&mat2, ID3DXMatrixStack_GetTop(stack));
1504
1505     hr = ID3DXMatrixStack_LoadIdentity(stack);
1506     ok(SUCCEEDED(hr), "LoadIdentity failed, hr %#x\n", hr);
1507     ok(D3DXMatrixIsIdentity(ID3DXMatrixStack_GetTop(stack)), "The top should be an identity matrix\n");
1508
1509     hr = ID3DXMatrixStack_Pop(stack);
1510     ok(SUCCEEDED(hr), "Pop failed, hr %#x\n", hr);
1511     expect_mat(&mat2, ID3DXMatrixStack_GetTop(stack));
1512
1513     hr = ID3DXMatrixStack_Pop(stack);
1514     ok(SUCCEEDED(hr), "Pop failed, hr %#x\n", hr);
1515     expect_mat(&mat1, ID3DXMatrixStack_GetTop(stack));
1516
1517     hr = ID3DXMatrixStack_Pop(stack);
1518     ok(SUCCEEDED(hr), "Pop failed, hr %#x\n", hr);
1519     ok(D3DXMatrixIsIdentity(ID3DXMatrixStack_GetTop(stack)), "The top should be an identity matrix\n");
1520
1521     hr = ID3DXMatrixStack_Pop(stack);
1522     ok(SUCCEEDED(hr), "Pop failed, hr %#x\n", hr);
1523     ok(D3DXMatrixIsIdentity(ID3DXMatrixStack_GetTop(stack)), "The top should be an identity matrix\n");
1524
1525     refcount = ID3DXMatrixStack_Release(stack);
1526     ok(!refcount, "Matrix stack has %u references left.\n", refcount);
1527 }
1528
1529 static void test_Matrix_AffineTransformation2D(void)
1530 {
1531     D3DXMATRIX exp_mat, got_mat;
1532     D3DXVECTOR2 center, position;
1533     FLOAT angle, scale;
1534
1535     center.x = 3.0f;
1536     center.y = 4.0f;
1537
1538     position.x = -6.0f;
1539     position.y = 7.0f;
1540
1541     angle = D3DX_PI/3.0f;
1542
1543     scale = 20.0f;
1544
1545     U(exp_mat).m[0][0] = 10.0f;
1546     U(exp_mat).m[1][0] = -17.320507f;
1547     U(exp_mat).m[2][0] = 0.0f;
1548     U(exp_mat).m[3][0] = -1.035898f;
1549     U(exp_mat).m[0][1] = 17.320507f;
1550     U(exp_mat).m[1][1] = 10.0f;
1551     U(exp_mat).m[2][1] = 0.0f;
1552     U(exp_mat).m[3][1] = 6.401924f;
1553     U(exp_mat).m[0][2] = 0.0f;
1554     U(exp_mat).m[1][2] = 0.0f;
1555     U(exp_mat).m[2][2] = 1.0f;
1556     U(exp_mat).m[3][2] = 0.0f;
1557     U(exp_mat).m[0][3] = 0.0f;
1558     U(exp_mat).m[1][3] = 0.0f;
1559     U(exp_mat).m[2][3] = 0.0f;
1560     U(exp_mat).m[3][3] = 1.0f;
1561
1562     D3DXMatrixAffineTransformation2D(&got_mat, scale, &center, angle, &position);
1563
1564     expect_mat(&exp_mat, &got_mat);
1565
1566 /*______________*/
1567
1568     center.x = 3.0f;
1569     center.y = 4.0f;
1570
1571     angle = D3DX_PI/3.0f;
1572
1573     scale = 20.0f;
1574
1575     U(exp_mat).m[0][0] = 10.0f;
1576     U(exp_mat).m[1][0] = -17.320507f;
1577     U(exp_mat).m[2][0] = 0.0f;
1578     U(exp_mat).m[3][0] = 4.964102f;
1579     U(exp_mat).m[0][1] = 17.320507f;
1580     U(exp_mat).m[1][1] = 10.0f;
1581     U(exp_mat).m[2][1] = 0.0f;
1582     U(exp_mat).m[3][1] = -0.598076f;
1583     U(exp_mat).m[0][2] = 0.0f;
1584     U(exp_mat).m[1][2] = 0.0f;
1585     U(exp_mat).m[2][2] = 1.0f;
1586     U(exp_mat).m[3][2] = 0.0f;
1587     U(exp_mat).m[0][3] = 0.0f;
1588     U(exp_mat).m[1][3] = 0.0f;
1589     U(exp_mat).m[2][3] = 0.0f;
1590     U(exp_mat).m[3][3] = 1.0f;
1591
1592     D3DXMatrixAffineTransformation2D(&got_mat, scale, &center, angle, NULL);
1593
1594     expect_mat(&exp_mat, &got_mat);
1595
1596 /*______________*/
1597
1598     position.x = -6.0f;
1599     position.y = 7.0f;
1600
1601     angle = D3DX_PI/3.0f;
1602
1603     scale = 20.0f;
1604
1605     U(exp_mat).m[0][0] = 10.0f;
1606     U(exp_mat).m[1][0] = -17.320507f;
1607     U(exp_mat).m[2][0] = 0.0f;
1608     U(exp_mat).m[3][0] = -6.0f;
1609     U(exp_mat).m[0][1] = 17.320507f;
1610     U(exp_mat).m[1][1] = 10.0f;
1611     U(exp_mat).m[2][1] = 0.0f;
1612     U(exp_mat).m[3][1] = 7.0f;
1613     U(exp_mat).m[0][2] = 0.0f;
1614     U(exp_mat).m[1][2] = 0.0f;
1615     U(exp_mat).m[2][2] = 1.0f;
1616     U(exp_mat).m[3][2] = 0.0f;
1617     U(exp_mat).m[0][3] = 0.0f;
1618     U(exp_mat).m[1][3] = 0.0f;
1619     U(exp_mat).m[2][3] = 0.0f;
1620     U(exp_mat).m[3][3] = 1.0f;
1621
1622     D3DXMatrixAffineTransformation2D(&got_mat, scale, NULL, angle, &position);
1623
1624     expect_mat(&exp_mat, &got_mat);
1625
1626 /*______________*/
1627
1628     angle = 5.0f * D3DX_PI/4.0f;
1629
1630     scale = -20.0f;
1631
1632     U(exp_mat).m[0][0] = 14.142133f;
1633     U(exp_mat).m[1][0] = -14.142133f;
1634     U(exp_mat).m[2][0] = 0.0f;
1635     U(exp_mat).m[3][0] = 0.0f;
1636     U(exp_mat).m[0][1] = 14.142133;
1637     U(exp_mat).m[1][1] = 14.142133f;
1638     U(exp_mat).m[2][1] = 0.0f;
1639     U(exp_mat).m[3][1] = 0.0f;
1640     U(exp_mat).m[0][2] = 0.0f;
1641     U(exp_mat).m[1][2] = 0.0f;
1642     U(exp_mat).m[2][2] = 1.0f;
1643     U(exp_mat).m[3][2] = 0.0f;
1644     U(exp_mat).m[0][3] = 0.0f;
1645     U(exp_mat).m[1][3] = 0.0f;
1646     U(exp_mat).m[2][3] = 0.0f;
1647     U(exp_mat).m[3][3] = 1.0f;
1648
1649     D3DXMatrixAffineTransformation2D(&got_mat, scale, NULL, angle, NULL);
1650
1651     expect_mat(&exp_mat, &got_mat);
1652 }
1653
1654 static void test_Matrix_Decompose(void)
1655 {
1656     D3DXMATRIX pm;
1657     D3DXQUATERNION exp_rotation, got_rotation;
1658     D3DXVECTOR3 exp_scale, got_scale, exp_translation, got_translation;
1659     HRESULT hr;
1660
1661 /*___________*/
1662
1663     U(pm).m[0][0] = -0.9238790f;
1664     U(pm).m[1][0] = -0.2705984f;
1665     U(pm).m[2][0] = 0.2705984f;
1666     U(pm).m[3][0] = -5.0f;
1667     U(pm).m[0][1] = 0.2705984f;
1668     U(pm).m[1][1] = 0.03806049f;
1669     U(pm).m[2][1] = 0.9619395f;
1670     U(pm).m[3][1] = 0.0f;
1671     U(pm).m[0][2] = -0.2705984f;
1672     U(pm).m[1][2] = 0.9619395f;
1673     U(pm).m[2][2] = 0.03806049f;
1674     U(pm).m[3][2] = 10.0f;
1675     U(pm).m[0][3] = 0.0f;
1676     U(pm).m[1][3] = 0.0f;
1677     U(pm).m[2][3] = 0.0f;
1678     U(pm).m[3][3] = 1.0f;
1679
1680     exp_scale.x = 1.0f;
1681     exp_scale.y = 1.0f;
1682     exp_scale.z = 1.0f;
1683
1684     exp_rotation.w = 0.195091f;
1685     exp_rotation.x = 0.0f;
1686     exp_rotation.y = 0.693520f;
1687     exp_rotation.z = 0.693520f;
1688
1689     exp_translation.x = -5.0f;
1690     exp_translation.y = 0.0f;
1691     exp_translation.z = 10.0f;
1692
1693     D3DXMatrixDecompose(&got_scale, &got_rotation, &got_translation, &pm);
1694
1695     compare_scale(exp_scale, got_scale);
1696     compare_rotation(exp_rotation, got_rotation);
1697     compare_translation(exp_translation, got_translation);
1698
1699 /*_________*/
1700
1701     U(pm).m[0][0] = -2.255813f;
1702     U(pm).m[1][0] = 1.302324f;
1703     U(pm).m[2][0] = 1.488373f;
1704     U(pm).m[3][0] = 1.0f;
1705     U(pm).m[0][1] = 1.302327f;
1706     U(pm).m[1][1] = -0.7209296f;
1707     U(pm).m[2][1] = 2.60465f;
1708     U(pm).m[3][1] = 2.0f;
1709     U(pm).m[0][2] = 1.488371f;
1710     U(pm).m[1][2] = 2.604651f;
1711     U(pm).m[2][2] = -0.02325551f;
1712     U(pm).m[3][2] = 3.0f;
1713     U(pm).m[0][3] = 0.0f;
1714     U(pm).m[1][3] = 0.0f;
1715     U(pm).m[2][3] = 0.0f;
1716     U(pm).m[3][3] = 1.0f;
1717
1718     exp_scale.x = 3.0f;
1719     exp_scale.y = 3.0f;
1720     exp_scale.z = 3.0f;
1721
1722     exp_rotation.w = 0.0;
1723     exp_rotation.x = 0.352180f;
1724     exp_rotation.y = 0.616316f;
1725     exp_rotation.z = 0.704361f;
1726
1727     exp_translation.x = 1.0f;
1728     exp_translation.y = 2.0f;
1729     exp_translation.z = 3.0f;
1730
1731     D3DXMatrixDecompose(&got_scale, &got_rotation, &got_translation, &pm);
1732
1733     compare_scale(exp_scale, got_scale);
1734     compare_rotation(exp_rotation, got_rotation);
1735     compare_translation(exp_translation, got_translation);
1736
1737 /*_____________*/
1738
1739     U(pm).m[0][0] = 2.427051f;
1740     U(pm).m[1][0] = 0.0f;
1741     U(pm).m[2][0] = 1.763355f;
1742     U(pm).m[3][0] = 5.0f;
1743     U(pm).m[0][1] = 0.0f;
1744     U(pm).m[1][1] = 3.0f;
1745     U(pm).m[2][1] = 0.0f;
1746     U(pm).m[3][1] = 5.0f;
1747     U(pm).m[0][2] = -1.763355f;
1748     U(pm).m[1][2] = 0.0f;
1749     U(pm).m[2][2] = 2.427051f;
1750     U(pm).m[3][2] = 5.0f;
1751     U(pm).m[0][3] = 0.0f;
1752     U(pm).m[1][3] = 0.0f;
1753     U(pm).m[2][3] = 0.0f;
1754     U(pm).m[3][3] = 1.0f;
1755
1756     exp_scale.x = 3.0f;
1757     exp_scale.y = 3.0f;
1758     exp_scale.z = 3.0f;
1759
1760     exp_rotation.w = 0.951057f;
1761     exp_rotation.x = 0.0f;
1762     exp_rotation.y = 0.309017f;
1763     exp_rotation.z = 0.0f;
1764
1765     exp_translation.x = 5.0f;
1766     exp_translation.y = 5.0f;
1767     exp_translation.z = 5.0f;
1768
1769     D3DXMatrixDecompose(&got_scale, &got_rotation, &got_translation, &pm);
1770
1771     compare_scale(exp_scale, got_scale);
1772     compare_rotation(exp_rotation, got_rotation);
1773     compare_translation(exp_translation, got_translation);
1774
1775 /*_____________*/
1776
1777     U(pm).m[0][0] = -0.9238790f;
1778     U(pm).m[1][0] = -0.2705984f;
1779     U(pm).m[2][0] = 0.2705984f;
1780     U(pm).m[3][0] = -5.0f;
1781     U(pm).m[0][1] = 0.2705984f;
1782     U(pm).m[1][1] = 0.03806049f;
1783     U(pm).m[2][1] = 0.9619395f;
1784     U(pm).m[3][1] = 0.0f;
1785     U(pm).m[0][2] = -0.2705984f;
1786     U(pm).m[1][2] = 0.9619395f;
1787     U(pm).m[2][2] = 0.03806049f;
1788     U(pm).m[3][2] = 10.0f;
1789     U(pm).m[0][3] = 0.0f;
1790     U(pm).m[1][3] = 0.0f;
1791     U(pm).m[2][3] = 0.0f;
1792     U(pm).m[3][3] = 1.0f;
1793
1794     exp_scale.x = 1.0f;
1795     exp_scale.y = 1.0f;
1796     exp_scale.z = 1.0f;
1797
1798     exp_rotation.w = 0.195091f;
1799     exp_rotation.x = 0.0f;
1800     exp_rotation.y = 0.693520f;
1801     exp_rotation.z = 0.693520f;
1802
1803     exp_translation.x = -5.0f;
1804     exp_translation.y = 0.0f;
1805     exp_translation.z = 10.0f;
1806
1807     D3DXMatrixDecompose(&got_scale, &got_rotation, &got_translation, &pm);
1808
1809     compare_scale(exp_scale, got_scale);
1810     compare_rotation(exp_rotation, got_rotation);
1811     compare_translation(exp_translation, got_translation);
1812
1813 /*__________*/
1814
1815     U(pm).m[0][0] = -0.9238790f;
1816     U(pm).m[1][0] = -0.5411968f;
1817     U(pm).m[2][0] = 0.8117952f;
1818     U(pm).m[3][0] = -5.0f;
1819     U(pm).m[0][1] = 0.2705984f;
1820     U(pm).m[1][1] = 0.07612098f;
1821     U(pm).m[2][1] = 2.8858185f;
1822     U(pm).m[3][1] = 0.0f;
1823     U(pm).m[0][2] = -0.2705984f;
1824     U(pm).m[1][2] = 1.9238790f;
1825     U(pm).m[2][2] = 0.11418147f;
1826     U(pm).m[3][2] = 10.0f;
1827     U(pm).m[0][3] = 0.0f;
1828     U(pm).m[1][3] = 0.0f;
1829     U(pm).m[2][3] = 0.0f;
1830     U(pm).m[3][3] = 1.0f;
1831
1832     exp_scale.x = 1.0f;
1833     exp_scale.y = 2.0f;
1834     exp_scale.z = 3.0f;
1835
1836     exp_rotation.w = 0.195091f;
1837     exp_rotation.x = 0.0f;
1838     exp_rotation.y = 0.693520f;
1839     exp_rotation.z = 0.693520f;
1840
1841     exp_translation.x = -5.0f;
1842     exp_translation.y = 0.0f;
1843     exp_translation.z = 10.0f;
1844
1845     D3DXMatrixDecompose(&got_scale, &got_rotation, &got_translation, &pm);
1846
1847     compare_scale(exp_scale, got_scale);
1848     compare_rotation(exp_rotation, got_rotation);
1849     compare_translation(exp_translation, got_translation);
1850
1851 /*__________*/
1852
1853     U(pm).m[0][0] = 0.7156004f;
1854     U(pm).m[1][0] = -0.5098283f;
1855     U(pm).m[2][0] = -0.4774843f;
1856     U(pm).m[3][0] = -5.0f;
1857     U(pm).m[0][1] = -0.6612288f;
1858     U(pm).m[1][1] = -0.7147621f;
1859     U(pm).m[2][1] = -0.2277977f;
1860     U(pm).m[3][1] = 0.0f;
1861     U(pm).m[0][2] = -0.2251499f;
1862     U(pm).m[1][2] = 0.4787385f;
1863     U(pm).m[2][2] = -0.8485972f;
1864     U(pm).m[3][2] = 10.0f;
1865     U(pm).m[0][3] = 0.0f;
1866     U(pm).m[1][3] = 0.0f;
1867     U(pm).m[2][3] = 0.0f;
1868     U(pm).m[3][3] = 1.0f;
1869
1870     exp_scale.x = 1.0f;
1871     exp_scale.y = 1.0f;
1872     exp_scale.z = 1.0f;
1873
1874     exp_rotation.w = 0.195091f;
1875     exp_rotation.x = 0.905395f;
1876     exp_rotation.y = -0.323355f;
1877     exp_rotation.z = -0.194013f;
1878
1879     exp_translation.x = -5.0f;
1880     exp_translation.y = 0.0f;
1881     exp_translation.z = 10.0f;
1882
1883     D3DXMatrixDecompose(&got_scale, &got_rotation, &got_translation, &pm);
1884
1885     compare_scale(exp_scale, got_scale);
1886     compare_rotation(exp_rotation, got_rotation);
1887     compare_translation(exp_translation, got_translation);
1888
1889 /*_____________*/
1890
1891     U(pm).m[0][0] = 0.06554436f;
1892     U(pm).m[1][0] = -0.6873012f;
1893     U(pm).m[2][0] = 0.7234092f;
1894     U(pm).m[3][0] = -5.0f;
1895     U(pm).m[0][1] = -0.9617381f;
1896     U(pm).m[1][1] = -0.2367795f;
1897     U(pm).m[2][1] = -0.1378230f;
1898     U(pm).m[3][1] = 0.0f;
1899     U(pm).m[0][2] = 0.2660144f;
1900     U(pm).m[1][2] = -0.6866967f;
1901     U(pm).m[2][2] = -0.6765233f;
1902     U(pm).m[3][2] = 10.0f;
1903     U(pm).m[0][3] = 0.0f;
1904     U(pm).m[1][3] = 0.0f;
1905     U(pm).m[2][3] = 0.0f;
1906     U(pm).m[3][3] = 1.0f;
1907
1908     exp_scale.x = 1.0f;
1909     exp_scale.y = 1.0f;
1910     exp_scale.z = 1.0f;
1911
1912     exp_rotation.w = -0.195091f;
1913     exp_rotation.x = 0.703358f;
1914     exp_rotation.y = -0.586131f;
1915     exp_rotation.z = 0.351679f;
1916
1917     exp_translation.x = -5.0f;
1918     exp_translation.y = 0.0f;
1919     exp_translation.z = 10.0f;
1920
1921     D3DXMatrixDecompose(&got_scale, &got_rotation, &got_translation, &pm);
1922
1923     compare_scale(exp_scale, got_scale);
1924     compare_rotation(exp_rotation, got_rotation);
1925     compare_translation(exp_translation, got_translation);
1926
1927 /*_________*/
1928
1929     U(pm).m[0][0] = 7.121047f;
1930     U(pm).m[1][0] = -5.883487f;
1931     U(pm).m[2][0] = 11.81843f;
1932     U(pm).m[3][0] = -5.0f;
1933     U(pm).m[0][1] = 5.883487f;
1934     U(pm).m[1][1] = -10.60660f;
1935     U(pm).m[2][1] = -8.825232f;
1936     U(pm).m[3][1] = 0.0f;
1937     U(pm).m[0][2] = 11.81843f;
1938     U(pm).m[1][2] = 8.8252320f;
1939     U(pm).m[2][2] = -2.727645f;
1940     U(pm).m[3][2] = 2.0f;
1941     U(pm).m[0][3] = 0.0f;
1942     U(pm).m[1][3] = 0.0f;
1943     U(pm).m[2][3] = 0.0f;
1944     U(pm).m[3][3] = 1.0f;
1945
1946     exp_scale.x = 15.0f;
1947     exp_scale.y = 15.0f;
1948     exp_scale.z = 15.0f;
1949
1950     exp_rotation.w = 0.382684f;
1951     exp_rotation.x = 0.768714f;
1952     exp_rotation.y = 0.0f;
1953     exp_rotation.z = 0.512476f;
1954
1955     exp_translation.x = -5.0f;
1956     exp_translation.y = 0.0f;
1957     exp_translation.z = 2.0f;
1958
1959     D3DXMatrixDecompose(&got_scale, &got_rotation, &got_translation, &pm);
1960
1961     compare_scale(exp_scale, got_scale);
1962     compare_rotation(exp_rotation, got_rotation);
1963     compare_translation(exp_translation, got_translation);
1964
1965 /*__________*/
1966
1967     U(pm).m[0][0] = 0.0f;
1968     U(pm).m[1][0] = 4.0f;
1969     U(pm).m[2][0] = 5.0f;
1970     U(pm).m[3][0] = -5.0f;
1971     U(pm).m[0][1] = 0.0f;
1972     U(pm).m[1][1] = -10.60660f;
1973     U(pm).m[2][1] = -8.825232f;
1974     U(pm).m[3][1] = 6.0f;
1975     U(pm).m[0][2] = 0.0f;
1976     U(pm).m[1][2] = 8.8252320f;
1977     U(pm).m[2][2] = 2.727645;
1978     U(pm).m[3][2] = 3.0f;
1979     U(pm).m[0][3] = 0.0f;
1980     U(pm).m[1][3] = 0.0f;
1981     U(pm).m[2][3] = 0.0f;
1982     U(pm).m[3][3] = 1.0f;
1983
1984     hr = D3DXMatrixDecompose(&got_scale, &got_rotation, &got_translation, &pm);
1985     ok(hr == D3DERR_INVALIDCALL, "Expected D3DERR_INVALIDCALL, got %x\n", hr);
1986 }
1987
1988 static void test_Matrix_Transformation2D(void)
1989 {
1990     D3DXMATRIX exp_mat, got_mat;
1991     D3DXVECTOR2 rot_center, sca, sca_center, trans;
1992     FLOAT rot, sca_rot;
1993
1994     rot_center.x = 3.0f;
1995     rot_center.y = 4.0f;
1996
1997     sca.x = 12.0f;
1998     sca.y = -3.0f;
1999
2000     sca_center.x = 9.0f;
2001     sca_center.y = -5.0f;
2002
2003     trans.x = -6.0f;
2004     trans.y = 7.0f;
2005
2006     rot = D3DX_PI/3.0f;
2007
2008     sca_rot = 5.0f*D3DX_PI/4.0f;
2009
2010     U(exp_mat).m[0][0] = -4.245192f;
2011     U(exp_mat).m[1][0] = -0.147116f;
2012     U(exp_mat).m[2][0] = 0.0f;
2013     U(exp_mat).m[3][0] = 45.265373f;
2014     U(exp_mat).m[0][1] = 7.647113f;
2015     U(exp_mat).m[1][1] = 8.745192f;
2016     U(exp_mat).m[2][1] = 0.0f;
2017     U(exp_mat).m[3][1] = -13.401899f;
2018     U(exp_mat).m[0][2] = 0.0f;
2019     U(exp_mat).m[1][2] = 0.0f;
2020     U(exp_mat).m[2][2] = 1.0f;
2021     U(exp_mat).m[3][2] = 0.0f;
2022     U(exp_mat).m[0][3] = 0.0f;
2023     U(exp_mat).m[1][3] = 0.0f;
2024     U(exp_mat).m[2][3] = 0.0f;
2025     U(exp_mat).m[3][3] = 1.0f;
2026
2027     D3DXMatrixTransformation2D(&got_mat, &sca_center, sca_rot, &sca, &rot_center, rot, &trans);
2028
2029     expect_mat(&exp_mat, &got_mat);
2030
2031 /*_________*/
2032
2033     sca_center.x = 9.0f;
2034     sca_center.y = -5.0f;
2035
2036     trans.x = -6.0f;
2037     trans.y = 7.0f;
2038
2039     rot = D3DX_PI/3.0f;
2040
2041     sca_rot = 5.0f*D3DX_PI/4.0f;
2042
2043     U(exp_mat).m[0][0] = 0.50f;
2044     U(exp_mat).m[1][0] = -0.866025f;
2045     U(exp_mat).m[2][0] = 0.0f;
2046     U(exp_mat).m[3][0] = -6.0f;
2047     U(exp_mat).m[0][1] = 0.866025f;
2048     U(exp_mat).m[1][1] = 0.50f;
2049     U(exp_mat).m[2][1] = 0.0f;
2050     U(exp_mat).m[3][1] = 7.0f;
2051     U(exp_mat).m[0][2] = 0.0f;
2052     U(exp_mat).m[1][2] = 0.0f;
2053     U(exp_mat).m[2][2] = 1.0f;
2054     U(exp_mat).m[3][2] = 0.0f;
2055     U(exp_mat).m[0][3] = 0.0f;
2056     U(exp_mat).m[1][3] = 0.0f;
2057     U(exp_mat).m[2][3] = 0.0f;
2058     U(exp_mat).m[3][3] = 1.0f;
2059
2060     D3DXMatrixTransformation2D(&got_mat, &sca_center, sca_rot, NULL, NULL, rot, &trans);
2061
2062     expect_mat(&exp_mat, &got_mat);
2063
2064 /*_________*/
2065
2066     U(exp_mat).m[0][0] = 0.50f;
2067     U(exp_mat).m[1][0] = -0.866025f;
2068     U(exp_mat).m[2][0] = 0.0f;
2069     U(exp_mat).m[3][0] = 0.0f;
2070     U(exp_mat).m[0][1] = 0.866025f;
2071     U(exp_mat).m[1][1] = 0.50f;
2072     U(exp_mat).m[2][1] = 0.0f;
2073     U(exp_mat).m[3][1] = 0.0f;
2074     U(exp_mat).m[0][2] = 0.0f;
2075     U(exp_mat).m[1][2] = 0.0f;
2076     U(exp_mat).m[2][2] = 1.0f;
2077     U(exp_mat).m[3][2] = 0.0f;
2078     U(exp_mat).m[0][3] = 0.0f;
2079     U(exp_mat).m[1][3] = 0.0f;
2080     U(exp_mat).m[2][3] = 0.0f;
2081     U(exp_mat).m[3][3] = 1.0f;
2082
2083     D3DXMatrixTransformation2D(&got_mat, NULL, sca_rot, NULL, NULL, rot, NULL);
2084
2085     expect_mat(&exp_mat, &got_mat);
2086 }
2087
2088 static void test_D3DXVec_Array(void)
2089 {
2090     unsigned int i;
2091     D3DVIEWPORT9 viewport;
2092     D3DXMATRIX mat, projection, view, world;
2093     D3DXVECTOR4 inp_vec[ARRAY_SIZE];
2094     D3DXVECTOR4 out_vec[ARRAY_SIZE + 2];
2095     D3DXVECTOR4 exp_vec[ARRAY_SIZE + 2];
2096     D3DXPLANE inp_plane[ARRAY_SIZE];
2097     D3DXPLANE out_plane[ARRAY_SIZE + 2];
2098     D3DXPLANE exp_plane[ARRAY_SIZE + 2];
2099
2100     viewport.Width = 800; viewport.MinZ = 0.2f; viewport.X = 10;
2101     viewport.Height = 680; viewport.MaxZ = 0.9f; viewport.Y = 5;
2102
2103     for (i = 0; i < ARRAY_SIZE + 2; ++i) {
2104         out_vec[i].x = out_vec[i].y = out_vec[i].z = out_vec[i].w = 0.0f;
2105         exp_vec[i].x = exp_vec[i].y = exp_vec[i].z = exp_vec[i].w = 0.0f;
2106         out_plane[i].a = out_plane[i].b = out_plane[i].c = out_plane[i].d = 0.0f;
2107         exp_plane[i].a = exp_plane[i].b = exp_plane[i].c = exp_plane[i].d = 0.0f;
2108     }
2109
2110     for (i = 0; i < ARRAY_SIZE; ++i) {
2111         inp_plane[i].a = inp_plane[i].c = inp_vec[i].x = inp_vec[i].z = i;
2112         inp_plane[i].b = inp_plane[i].d = inp_vec[i].y = inp_vec[i].w = ARRAY_SIZE - i;
2113     }
2114
2115     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;
2116     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;
2117     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;
2118     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;
2119
2120     D3DXMatrixPerspectiveFovLH(&projection,D3DX_PI/4.0f,20.0f/17.0f,1.0f,1000.0f);
2121
2122     U(view).m[0][1] = 5.0f; U(view).m[0][2] = 7.0f; U(view).m[0][3] = 8.0f;
2123     U(view).m[1][0] = 11.0f; U(view).m[1][2] = 16.0f; U(view).m[1][3] = 33.0f;
2124     U(view).m[2][0] = 19.0f; U(view).m[2][1] = -21.0f; U(view).m[2][3] = 43.0f;
2125     U(view).m[3][0] = 2.0f; U(view).m[3][1] = 3.0f; U(view).m[3][2] = -4.0f;
2126     U(view).m[0][0] = 10.0f; U(view).m[1][1] = 20.0f; U(view).m[2][2] = 30.0f;
2127     U(view).m[3][3] = -40.0f;
2128
2129     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;
2130     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;
2131     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;
2132     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;
2133
2134     /* D3DXVec2TransformCoordArray */
2135     exp_vec[1].x = 0.678571f; exp_vec[1].y = 0.785714f;
2136     exp_vec[2].x = 0.653846f; exp_vec[2].y = 0.769231f;
2137     exp_vec[3].x = 0.625f;    exp_vec[3].y = 0.75f;
2138     exp_vec[4].x = 0.590909f; exp_vec[4].y = 8.0f/11.0f;
2139     exp_vec[5].x = 0.55f;     exp_vec[5].y = 0.7f;
2140     D3DXVec2TransformCoordArray((D3DXVECTOR2*)(out_vec + 1), sizeof(D3DXVECTOR4), (D3DXVECTOR2*)inp_vec, sizeof(D3DXVECTOR4), &mat, ARRAY_SIZE);
2141     compare_vectors(exp_vec, out_vec);
2142
2143     /* D3DXVec2TransformNormalArray */
2144     exp_vec[1].x = 25.0f; exp_vec[1].y = 30.0f;
2145     exp_vec[2].x = 21.0f; exp_vec[2].y = 26.0f;
2146     exp_vec[3].x = 17.0f; exp_vec[3].y = 22.0f;
2147     exp_vec[4].x = 13.0f; exp_vec[4].y = 18.0f;
2148     exp_vec[5].x =  9.0f; exp_vec[5].y = 14.0f;
2149     D3DXVec2TransformNormalArray((D3DXVECTOR2*)(out_vec + 1), sizeof(D3DXVECTOR4), (D3DXVECTOR2*)inp_vec, sizeof(D3DXVECTOR4), &mat, ARRAY_SIZE);
2150     compare_vectors(exp_vec, out_vec);
2151
2152     /* D3DXVec3TransformCoordArray */
2153     exp_vec[1].x = 0.678571f; exp_vec[1].y = 0.785714f;  exp_vec[1].z = 0.892857f;
2154     exp_vec[2].x = 0.671875f; exp_vec[2].y = 0.78125f;   exp_vec[2].z = 0.890625f;
2155     exp_vec[3].x = 6.0f/9.0f; exp_vec[3].y = 7.0f/9.0f;  exp_vec[3].z = 8.0f/9.0f;
2156     exp_vec[4].x = 0.6625f;   exp_vec[4].y = 0.775f;     exp_vec[4].z = 0.8875f;
2157     exp_vec[5].x = 0.659091f; exp_vec[5].y = 0.772727f;  exp_vec[5].z = 0.886364f;
2158     D3DXVec3TransformCoordArray((D3DXVECTOR3*)(out_vec + 1), sizeof(D3DXVECTOR4), (D3DXVECTOR3*)inp_vec, sizeof(D3DXVECTOR4), &mat, ARRAY_SIZE);
2159     compare_vectors(exp_vec, out_vec);
2160
2161     /* D3DXVec3TransformNormalArray */
2162     exp_vec[1].x = 25.0f; exp_vec[1].y = 30.0f; exp_vec[1].z = 35.0f;
2163     exp_vec[2].x = 30.0f; exp_vec[2].y = 36.0f; exp_vec[2].z = 42.0f;
2164     exp_vec[3].x = 35.0f; exp_vec[3].y = 42.0f; exp_vec[3].z = 49.0f;
2165     exp_vec[4].x = 40.0f; exp_vec[4].y = 48.0f; exp_vec[4].z = 56.0f;
2166     exp_vec[5].x = 45.0f; exp_vec[5].y = 54.0f; exp_vec[5].z = 63.0f;
2167     D3DXVec3TransformNormalArray((D3DXVECTOR3*)(out_vec + 1), sizeof(D3DXVECTOR4), (D3DXVECTOR3*)inp_vec, sizeof(D3DXVECTOR4), &mat, ARRAY_SIZE);
2168     compare_vectors(exp_vec, out_vec);
2169
2170     /* D3DXVec3ProjectArray */
2171     exp_vec[1].x = 1089.554199f; exp_vec[1].y = -226.590622f; exp_vec[1].z = 0.215273f;
2172     exp_vec[2].x = 1068.903320f; exp_vec[2].y =  103.085129f; exp_vec[2].z = 0.183050f;
2173     exp_vec[3].x = 1051.778931f; exp_vec[3].y =  376.462250f; exp_vec[3].z = 0.156329f;
2174     exp_vec[4].x = 1037.348877f; exp_vec[4].y =  606.827393f; exp_vec[4].z = 0.133813f;
2175     exp_vec[5].x = 1025.023560f; exp_vec[5].y =  803.591248f; exp_vec[5].z = 0.114581f;
2176     D3DXVec3ProjectArray((D3DXVECTOR3*)(out_vec + 1), sizeof(D3DXVECTOR4), (CONST D3DXVECTOR3*)inp_vec, sizeof(D3DXVECTOR4), &viewport, &projection, &view, &world, ARRAY_SIZE);
2177     compare_vectors(exp_vec, out_vec);
2178
2179     /* D3DXVec3UnprojectArray */
2180     exp_vec[1].x = -6.124031f; exp_vec[1].y = 3.225360f; exp_vec[1].z = 0.620571f;
2181     exp_vec[2].x = -3.807109f; exp_vec[2].y = 2.046579f; exp_vec[2].z = 0.446894f;
2182     exp_vec[3].x = -2.922839f; exp_vec[3].y = 1.596689f; exp_vec[3].z = 0.380609f;
2183     exp_vec[4].x = -2.456225f; exp_vec[4].y = 1.359290f; exp_vec[4].z = 0.345632f;
2184     exp_vec[5].x = -2.167897f; exp_vec[5].y = 1.212597f; exp_vec[5].z = 0.324019f;
2185     D3DXVec3UnprojectArray((D3DXVECTOR3*)(out_vec + 1), sizeof(D3DXVECTOR4), (CONST D3DXVECTOR3*)inp_vec, sizeof(D3DXVECTOR4), &viewport, &projection, &view, &world, ARRAY_SIZE);
2186     compare_vectors(exp_vec, out_vec);
2187
2188     /* D3DXVec2TransformArray */
2189     exp_vec[1].x = 38.0f; exp_vec[1].y = 44.0f; exp_vec[1].z = 50.0f; exp_vec[1].w = 56.0f;
2190     exp_vec[2].x = 34.0f; exp_vec[2].y = 40.0f; exp_vec[2].z = 46.0f; exp_vec[2].w = 52.0f;
2191     exp_vec[3].x = 30.0f; exp_vec[3].y = 36.0f; exp_vec[3].z = 42.0f; exp_vec[3].w = 48.0f;
2192     exp_vec[4].x = 26.0f; exp_vec[4].y = 32.0f; exp_vec[4].z = 38.0f; exp_vec[4].w = 44.0f;
2193     exp_vec[5].x = 22.0f; exp_vec[5].y = 28.0f; exp_vec[5].z = 34.0f; exp_vec[5].w = 40.0f;
2194     D3DXVec2TransformArray(out_vec + 1, sizeof(D3DXVECTOR4), (D3DXVECTOR2*)inp_vec, sizeof(D3DXVECTOR4), &mat, ARRAY_SIZE);
2195     compare_vectors(exp_vec, out_vec);
2196
2197     /* D3DXVec3TransformArray */
2198     exp_vec[1].x = 38.0f; exp_vec[1].y = 44.0f; exp_vec[1].z = 50.0f; exp_vec[1].w = 56.0f;
2199     exp_vec[2].x = 43.0f; exp_vec[2].y = 50.0f; exp_vec[2].z = 57.0f; exp_vec[2].w = 64.0f;
2200     exp_vec[3].x = 48.0f; exp_vec[3].y = 56.0f; exp_vec[3].z = 64.0f; exp_vec[3].w = 72.0f;
2201     exp_vec[4].x = 53.0f; exp_vec[4].y = 62.0f; exp_vec[4].z = 71.0f; exp_vec[4].w = 80.0f;
2202     exp_vec[5].x = 58.0f; exp_vec[5].y = 68.0f; exp_vec[5].z = 78.0f; exp_vec[5].w = 88.0f;
2203     D3DXVec3TransformArray(out_vec + 1, sizeof(D3DXVECTOR4), (D3DXVECTOR3*)inp_vec, sizeof(D3DXVECTOR4), &mat, ARRAY_SIZE);
2204     compare_vectors(exp_vec, out_vec);
2205
2206     /* D3DXVec4TransformArray */
2207     exp_vec[1].x = 90.0f; exp_vec[1].y = 100.0f; exp_vec[1].z = 110.0f; exp_vec[1].w = 120.0f;
2208     exp_vec[2].x = 82.0f; exp_vec[2].y = 92.0f;  exp_vec[2].z = 102.0f; exp_vec[2].w = 112.0f;
2209     exp_vec[3].x = 74.0f; exp_vec[3].y = 84.0f;  exp_vec[3].z = 94.0f;  exp_vec[3].w = 104.0f;
2210     exp_vec[4].x = 66.0f; exp_vec[4].y = 76.0f;  exp_vec[4].z = 86.0f;  exp_vec[4].w = 96.0f;
2211     exp_vec[5].x = 58.0f; exp_vec[5].y = 68.0f;  exp_vec[5].z = 78.0f;  exp_vec[5].w = 88.0f;
2212     D3DXVec4TransformArray(out_vec + 1, sizeof(D3DXVECTOR4), inp_vec, sizeof(D3DXVECTOR4), &mat, ARRAY_SIZE);
2213     compare_vectors(exp_vec, out_vec);
2214
2215     /* D3DXPlaneTransformArray */
2216     exp_plane[1].a = 90.0f; exp_plane[1].b = 100.0f; exp_plane[1].c = 110.0f; exp_plane[1].d = 120.0f;
2217     exp_plane[2].a = 82.0f; exp_plane[2].b = 92.0f;  exp_plane[2].c = 102.0f; exp_plane[2].d = 112.0f;
2218     exp_plane[3].a = 74.0f; exp_plane[3].b = 84.0f;  exp_plane[3].c = 94.0f;  exp_plane[3].d = 104.0f;
2219     exp_plane[4].a = 66.0f; exp_plane[4].b = 76.0f;  exp_plane[4].c = 86.0f;  exp_plane[4].d = 96.0f;
2220     exp_plane[5].a = 58.0f; exp_plane[5].b = 68.0f;  exp_plane[5].c = 78.0f;  exp_plane[5].d = 88.0f;
2221     D3DXPlaneTransformArray(out_plane + 1, sizeof(D3DXPLANE), inp_plane, sizeof(D3DXPLANE), &mat, ARRAY_SIZE);
2222     compare_planes(exp_plane, out_plane);
2223 }
2224
2225 START_TEST(math)
2226 {
2227     D3DXColorTest();
2228     D3DXFresnelTest();
2229     D3DXMatrixTest();
2230     D3DXPlaneTest();
2231     D3DXQuaternionTest();
2232     D3DXVector2Test();
2233     D3DXVector3Test();
2234     D3DXVector4Test();
2235     test_matrix_stack();
2236     test_Matrix_AffineTransformation2D();
2237     test_Matrix_Decompose();
2238     test_Matrix_Transformation2D();
2239     test_D3DXVec_Array();
2240 }