dlls/d3dx9_36/tests/math.c

   1 /*
   2  * Copyright 2008 Philip Nilsson
   3  *
   4  * This library is free software; you can redistribute it and/or
   5  * modify it under the terms of the GNU Lesser General Public
   6  * License as published by the Free Software Foundation; either
   7  * version 2.1 of the License, or (at your option) any later version.
   8  *
   9  * This library is distributed in the hope that it will be useful,
  10  * but WITHOUT ANY WARRANTY; without even the implied warranty of
  11  * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
  12  * Lesser General Public License for more details.
  13  *
  14  * You should have received a copy of the GNU Lesser General Public
  15  * License along with this library; if not, write to the Free Software
  16  * Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301, USA
  17  */
  18
  19 #include "wine/test.h"
  20 #include "d3dx9math.h"
  21
  22 #define ARRAY_SIZE 5
  23
  24 #define admitted_error 0.01f
  25 #define relative_error(exp, out) ((exp == out) ? 0.0f : (fabs(out - exp) / fabs(exp)))
  26 #define compare_vectors(exp, out) \
  27     for (i = 0; i < ARRAY_SIZE + 2; ++i) { \
  28         ok(relative_error(exp[i].x, out[i].x) < admitted_error && \
  29            relative_error(exp[i].y, out[i].y) < admitted_error && \
  30            relative_error(exp[i].z, out[i].z) < admitted_error && \
  31            relative_error(exp[i].w, out[i].w) < admitted_error, \
  32             "Got (%f, %f, %f, %f), expected (%f, %f, %f, %f) for index %d.\n", \
  33             out[i].x, out[i].y, out[i].z, out[i].w, \
  34             exp[i].x, exp[i].y, exp[i].z, exp[i].w, \
  35             i); \
  36     }
  37 #define compare_planes(exp, out) \
  38     for (i = 0; i < ARRAY_SIZE + 2; ++i) { \
  39         ok(relative_error(exp[i].a, out[i].a) < admitted_error && \
  40            relative_error(exp[i].b, out[i].b) < admitted_error && \
  41            relative_error(exp[i].c, out[i].c) < admitted_error && \
  42            relative_error(exp[i].d, out[i].d) < admitted_error, \
  43             "Got (%f, %f, %f, %f), expected (%f, %f, %f, %f) for index %d.\n", \
  44             out[i].a, out[i].b, out[i].c, out[i].d, \
  45             exp[i].a, exp[i].b, exp[i].c, exp[i].d, \
  46             i); \
  47     }
  48
  49 /* The mathematical properties are checked in the d3dx8 testsuite.
  50  *
  51  * These tests check:
  52  *   That the functions work.
  53  *   That the stride functionality works.
  54  *   That nothing is written where it should not be.
  55  *
  56  * These tests should check:
  57  *   That inp_vec is not modified.
  58  *   That the input and output arrays can be the same (MSDN
  59  *     says they can, and some testing with a native DLL
  60  *     says so too).
  61  */
  62 static void test_D3DXVec_Array(void)
  63 {
  64     unsigned int i;
  65     D3DVIEWPORT9 viewport;
  66     D3DXMATRIX mat, projection, view, world;
  67     D3DXVECTOR4 inp_vec[ARRAY_SIZE];
  68     D3DXVECTOR4 out_vec[ARRAY_SIZE + 2];
  69     D3DXVECTOR4 exp_vec[ARRAY_SIZE + 2];
  70     D3DXPLANE inp_plane[ARRAY_SIZE];
  71     D3DXPLANE out_plane[ARRAY_SIZE + 2];
  72     D3DXPLANE exp_plane[ARRAY_SIZE + 2];
  73
  74     viewport.Width = 800; viewport.MinZ = 0.2f; viewport.X = 10;
  75     viewport.Height = 680; viewport.MaxZ = 0.9f; viewport.Y = 5;
  76
  77     for (i = 0; i < ARRAY_SIZE + 2; ++i) {
  78         out_vec[i].x = out_vec[i].y = out_vec[i].z = out_vec[i].w = 0.0f;
  79         exp_vec[i].x = exp_vec[i].y = exp_vec[i].z = exp_vec[i].w = 0.0f;
  80         out_plane[i].a = out_plane[i].b = out_plane[i].c = out_plane[i].d = 0.0f;
  81         exp_plane[i].a = exp_plane[i].b = exp_plane[i].c = exp_plane[i].d = 0.0f;
  82     }
  83
  84     for (i = 0; i < ARRAY_SIZE; ++i) {
  85         inp_plane[i].a = inp_plane[i].c = inp_vec[i].x = inp_vec[i].z = i;
  86         inp_plane[i].b = inp_plane[i].d = inp_vec[i].y = inp_vec[i].w = ARRAY_SIZE - i;
  87     }
  88
  89     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;
  90     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;
  91     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;
  92     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;
  93
  94     D3DXMatrixPerspectiveFovLH(&projection,D3DX_PI/4.0f,20.0f/17.0f,1.0f,1000.0f);
  95
  96     U(view).m[0][1] = 5.0f; U(view).m[0][2] = 7.0f; U(view).m[0][3] = 8.0f;
  97     U(view).m[1][0] = 11.0f; U(view).m[1][2] = 16.0f; U(view).m[1][3] = 33.0f;
  98     U(view).m[2][0] = 19.0f; U(view).m[2][1] = -21.0f; U(view).m[2][3] = 43.0f;
  99     U(view).m[3][0] = 2.0f; U(view).m[3][1] = 3.0f; U(view).m[3][2] = -4.0f;
 100     U(view).m[0][0] = 10.0f; U(view).m[1][1] = 20.0f; U(view).m[2][2] = 30.0f;
 101     U(view).m[3][3] = -40.0f;
 102
 103     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;
 104     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;
 105     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;
 106     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;
 107
 108     /* D3DXVec2TransformCoordArray */
 109     exp_vec[1].x = 0.678571f; exp_vec[1].y = 0.785714f;
 110     exp_vec[2].x = 0.653846f; exp_vec[2].y = 0.769231f;
 111     exp_vec[3].x = 0.625f;    exp_vec[3].y = 0.75f;
 112     exp_vec[4].x = 0.590909f; exp_vec[4].y = 8.0f/11.0f;
 113     exp_vec[5].x = 0.55f;     exp_vec[5].y = 0.7f;
 114     D3DXVec2TransformCoordArray((D3DXVECTOR2*)(out_vec + 1), sizeof(D3DXVECTOR4), (D3DXVECTOR2*)inp_vec, sizeof(D3DXVECTOR4), &mat, ARRAY_SIZE);
 115     compare_vectors(exp_vec, out_vec);
 116
 117     /* D3DXVec2TransformNormalArray */
 118     exp_vec[1].x = 25.0f; exp_vec[1].y = 30.0f;
 119     exp_vec[2].x = 21.0f; exp_vec[2].y = 26.0f;
 120     exp_vec[3].x = 17.0f; exp_vec[3].y = 22.0f;
 121     exp_vec[4].x = 13.0f; exp_vec[4].y = 18.0f;
 122     exp_vec[5].x =  9.0f; exp_vec[5].y = 14.0f;
 123     D3DXVec2TransformNormalArray((D3DXVECTOR2*)(out_vec + 1), sizeof(D3DXVECTOR4), (D3DXVECTOR2*)inp_vec, sizeof(D3DXVECTOR4), &mat, ARRAY_SIZE);
 124     compare_vectors(exp_vec, out_vec);
 125
 126     /* D3DXVec3TransformCoordArray */
 127     exp_vec[1].x = 0.678571f; exp_vec[1].y = 0.785714f;  exp_vec[1].z = 0.892857f;
 128     exp_vec[2].x = 0.671875f; exp_vec[2].y = 0.78125f;   exp_vec[2].z = 0.890625f;
 129     exp_vec[3].x = 6.0f/9.0f; exp_vec[3].y = 7.0f/9.0f;  exp_vec[3].z = 8.0f/9.0f;
 130     exp_vec[4].x = 0.6625f;   exp_vec[4].y = 0.775f;     exp_vec[4].z = 0.8875f;
 131     exp_vec[5].x = 0.659091f; exp_vec[5].y = 0.772727f;  exp_vec[5].z = 0.886364f;
 132     D3DXVec3TransformCoordArray((D3DXVECTOR3*)(out_vec + 1), sizeof(D3DXVECTOR4), (D3DXVECTOR3*)inp_vec, sizeof(D3DXVECTOR4), &mat, ARRAY_SIZE);
 133     compare_vectors(exp_vec, out_vec);
 134
 135     /* D3DXVec3TransformNormalArray */
 136     exp_vec[1].x = 25.0f; exp_vec[1].y = 30.0f; exp_vec[1].z = 35.0f;
 137     exp_vec[2].x = 30.0f; exp_vec[2].y = 36.0f; exp_vec[2].z = 42.0f;
 138     exp_vec[3].x = 35.0f; exp_vec[3].y = 42.0f; exp_vec[3].z = 49.0f;
 139     exp_vec[4].x = 40.0f; exp_vec[4].y = 48.0f; exp_vec[4].z = 56.0f;
 140     exp_vec[5].x = 45.0f; exp_vec[5].y = 54.0f; exp_vec[5].z = 63.0f;
 141     D3DXVec3TransformNormalArray((D3DXVECTOR3*)(out_vec + 1), sizeof(D3DXVECTOR4), (D3DXVECTOR3*)inp_vec, sizeof(D3DXVECTOR4), &mat, ARRAY_SIZE);
 142     compare_vectors(exp_vec, out_vec);
 143
 144     /* D3DXVec3ProjectArray */
 145     exp_vec[1].x = 1089.554199f; exp_vec[1].y = -226.590622f; exp_vec[1].z = 0.215273f;
 146     exp_vec[2].x = 1068.903320f; exp_vec[2].y =  103.085129f; exp_vec[2].z = 0.183050f;
 147     exp_vec[3].x = 1051.778931f; exp_vec[3].y =  376.462250f; exp_vec[3].z = 0.156329f;
 148     exp_vec[4].x = 1037.348877f; exp_vec[4].y =  606.827393f; exp_vec[4].z = 0.133813f;
 149     exp_vec[5].x = 1025.023560f; exp_vec[5].y =  803.591248f; exp_vec[5].z = 0.114581f;
 150     D3DXVec3ProjectArray((D3DXVECTOR3*)(out_vec + 1), sizeof(D3DXVECTOR4), (CONST D3DXVECTOR3*)inp_vec, sizeof(D3DXVECTOR4), &viewport, &projection, &view, &world, ARRAY_SIZE);
 151     compare_vectors(exp_vec, out_vec);
 152
 153     /* D3DXVec3UnprojectArray */
 154     exp_vec[1].x = -6.124031f; exp_vec[1].y = 3.225360f; exp_vec[1].z = 0.620571f;
 155     exp_vec[2].x = -3.807109f; exp_vec[2].y = 2.046579f; exp_vec[2].z = 0.446894f;
 156     exp_vec[3].x = -2.922839f; exp_vec[3].y = 1.596689f; exp_vec[3].z = 0.380609f;
 157     exp_vec[4].x = -2.456225f; exp_vec[4].y = 1.359290f; exp_vec[4].z = 0.345632f;
 158     exp_vec[5].x = -2.167897f; exp_vec[5].y = 1.212597f; exp_vec[5].z = 0.324019f;
 159     D3DXVec3UnprojectArray((D3DXVECTOR3*)(out_vec + 1), sizeof(D3DXVECTOR4), (CONST D3DXVECTOR3*)inp_vec, sizeof(D3DXVECTOR4), &viewport, &projection, &view, &world, ARRAY_SIZE);
 160     compare_vectors(exp_vec, out_vec);
 161
 162     /* D3DXVec2TransformArray */
 163     exp_vec[1].x = 38.0f; exp_vec[1].y = 44.0f; exp_vec[1].z = 50.0f; exp_vec[1].w = 56.0f;
 164     exp_vec[2].x = 34.0f; exp_vec[2].y = 40.0f; exp_vec[2].z = 46.0f; exp_vec[2].w = 52.0f;
 165     exp_vec[3].x = 30.0f; exp_vec[3].y = 36.0f; exp_vec[3].z = 42.0f; exp_vec[3].w = 48.0f;
 166     exp_vec[4].x = 26.0f; exp_vec[4].y = 32.0f; exp_vec[4].z = 38.0f; exp_vec[4].w = 44.0f;
 167     exp_vec[5].x = 22.0f; exp_vec[5].y = 28.0f; exp_vec[5].z = 34.0f; exp_vec[5].w = 40.0f;
 168     D3DXVec2TransformArray(out_vec + 1, sizeof(D3DXVECTOR4), (D3DXVECTOR2*)inp_vec, sizeof(D3DXVECTOR4), &mat, ARRAY_SIZE);
 169     compare_vectors(exp_vec, out_vec);
 170
 171     /* D3DXVec3TransformArray */
 172     exp_vec[1].x = 38.0f; exp_vec[1].y = 44.0f; exp_vec[1].z = 50.0f; exp_vec[1].w = 56.0f;
 173     exp_vec[2].x = 43.0f; exp_vec[2].y = 50.0f; exp_vec[2].z = 57.0f; exp_vec[2].w = 64.0f;
 174     exp_vec[3].x = 48.0f; exp_vec[3].y = 56.0f; exp_vec[3].z = 64.0f; exp_vec[3].w = 72.0f;
 175     exp_vec[4].x = 53.0f; exp_vec[4].y = 62.0f; exp_vec[4].z = 71.0f; exp_vec[4].w = 80.0f;
 176     exp_vec[5].x = 58.0f; exp_vec[5].y = 68.0f; exp_vec[5].z = 78.0f; exp_vec[5].w = 88.0f;
 177     D3DXVec3TransformArray(out_vec + 1, sizeof(D3DXVECTOR4), (D3DXVECTOR3*)inp_vec, sizeof(D3DXVECTOR4), &mat, ARRAY_SIZE);
 178     compare_vectors(exp_vec, out_vec);
 179
 180     /* D3DXVec4TransformArray */
 181     exp_vec[1].x = 90.0f; exp_vec[1].y = 100.0f; exp_vec[1].z = 110.0f; exp_vec[1].w = 120.0f;
 182     exp_vec[2].x = 82.0f; exp_vec[2].y = 92.0f;  exp_vec[2].z = 102.0f; exp_vec[2].w = 112.0f;
 183     exp_vec[3].x = 74.0f; exp_vec[3].y = 84.0f;  exp_vec[3].z = 94.0f;  exp_vec[3].w = 104.0f;
 184     exp_vec[4].x = 66.0f; exp_vec[4].y = 76.0f;  exp_vec[4].z = 86.0f;  exp_vec[4].w = 96.0f;
 185     exp_vec[5].x = 58.0f; exp_vec[5].y = 68.0f;  exp_vec[5].z = 78.0f;  exp_vec[5].w = 88.0f;
 186     D3DXVec4TransformArray(out_vec + 1, sizeof(D3DXVECTOR4), inp_vec, sizeof(D3DXVECTOR4), &mat, ARRAY_SIZE);
 187     compare_vectors(exp_vec, out_vec);
 188
 189     /* D3DXPlaneTransformArray */
 190     exp_plane[1].a = 90.0f; exp_plane[1].b = 100.0f; exp_plane[1].c = 110.0f; exp_plane[1].d = 120.0f;
 191     exp_plane[2].a = 82.0f; exp_plane[2].b = 92.0f;  exp_plane[2].c = 102.0f; exp_plane[2].d = 112.0f;
 192     exp_plane[3].a = 74.0f; exp_plane[3].b = 84.0f;  exp_plane[3].c = 94.0f;  exp_plane[3].d = 104.0f;
 193     exp_plane[4].a = 66.0f; exp_plane[4].b = 76.0f;  exp_plane[4].c = 86.0f;  exp_plane[4].d = 96.0f;
 194     exp_plane[5].a = 58.0f; exp_plane[5].b = 68.0f;  exp_plane[5].c = 78.0f;  exp_plane[5].d = 88.0f;
 195     D3DXPlaneTransformArray(out_plane + 1, sizeof(D3DXPLANE), inp_plane, sizeof(D3DXPLANE), &mat, ARRAY_SIZE);
 196     compare_planes(exp_plane, out_plane);
 197 }
 198
 199 START_TEST(math)
 200 {
 201     test_D3DXVec_Array();
 202 }