dlls/d3dx9_36/tests/math.c

/*
 * Copyright 2008 David Adam
 * Copyright 2008 Luis Busquets
 * Copyright 2008 Philip Nilsson
 * Copyright 2008 Henri Verbeet
 *
 * This library is free software; you can redistribute it and/or
 * modify it under the terms of the GNU Lesser General Public
 * License as published by the Free Software Foundation; either
 * version 2.1 of the License, or (at your option) any later version.
 *
 * This library is distributed in the hope that it will be useful,
 * but WITHOUT ANY WARRANTY; without even the implied warranty of
 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
 * Lesser General Public License for more details.
 *
 * You should have received a copy of the GNU Lesser General Public
 * License along with this library; if not, write to the Free Software
 * Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301, USA
 */

#include "wine/test.h"
#include "d3dx9.h"
#include <math.h>

#define ARRAY_SIZE(array) (sizeof(array) / sizeof((array)[0]))

static BOOL compare_float(float f, float g, unsigned int ulps)
{
    int x = *(int *)&f;
    int y = *(int *)&g;

    if (x < 0)
        x = INT_MIN - x;
    if (y < 0)
        y = INT_MIN - y;

    if (abs(x - y) > ulps)
        return FALSE;

    return TRUE;
}

static BOOL compare_vec2(const D3DXVECTOR2 *v1, const D3DXVECTOR2 *v2, unsigned int ulps)
{
    return compare_float(v1->x, v2->x, ulps) && compare_float(v1->y, v2->y, ulps);
}

static BOOL compare_vec3(const D3DXVECTOR3 *v1, const D3DXVECTOR3 *v2, unsigned int ulps)
{
    return compare_float(v1->x, v2->x, ulps)
            && compare_float(v1->y, v2->y, ulps)
            && compare_float(v1->z, v2->z, ulps);
}

static BOOL compare_vec4(const D3DXVECTOR4 *v1, const D3DXVECTOR4 *v2, unsigned int ulps)
{
    return compare_float(v1->x, v2->x, ulps)
            && compare_float(v1->y, v2->y, ulps)
            && compare_float(v1->z, v2->z, ulps)
            && compare_float(v1->w, v2->w, ulps);
}

static BOOL compare_color(const D3DXCOLOR *c1, const D3DXCOLOR *c2, unsigned int ulps)
{
    return compare_float(c1->r, c2->r, ulps)
            && compare_float(c1->g, c2->g, ulps)
            && compare_float(c1->b, c2->b, ulps)
            && compare_float(c1->a, c2->a, ulps);
}

static BOOL compare_plane(const D3DXPLANE *p1, const D3DXPLANE *p2, unsigned int ulps)
{
    return compare_float(p1->a, p2->a, ulps)
            && compare_float(p1->b, p2->b, ulps)
            && compare_float(p1->c, p2->c, ulps)
            && compare_float(p1->d, p2->d, ulps);
}

static BOOL compare_quaternion(const D3DXQUATERNION *q1, const D3DXQUATERNION *q2, unsigned int ulps)
{
    return compare_float(q1->x, q2->x, ulps)
            && compare_float(q1->y, q2->y, ulps)
            && compare_float(q1->z, q2->z, ulps)
            && compare_float(q1->w, q2->w, ulps);
}

static BOOL compare_matrix(const D3DXMATRIX *m1, const D3DXMATRIX *m2, unsigned int ulps)
{
    unsigned int i, j;

    for (i = 0; i < 4; ++i)
    {
        for (j = 0; j < 4; ++j)
        {
            if (!compare_float(U(*m1).m[i][j], U(*m2).m[i][j], ulps))
                return FALSE;
        }
    }

    return TRUE;
}

#define expect_vec2(expected, vector, ulps) expect_vec2_(__LINE__, expected, vector, ulps)
static void expect_vec2_(unsigned int line, const D3DXVECTOR2 *expected, const D3DXVECTOR2 *vector, unsigned int ulps)
{
    BOOL equal = compare_vec2(expected, vector, ulps);
    ok_(__FILE__, line)(equal,
            "Got unexpected vector {%.8e, %.8e}, expected {%.8e, %.8e}.\n",
            vector->x, vector->y, expected->x, expected->y);
}

#define expect_vec3(expected, vector, ulps) expect_vec3_(__LINE__, expected, vector, ulps)
static void expect_vec3_(unsigned int line, const D3DXVECTOR3 *expected, const D3DXVECTOR3 *vector, unsigned int ulps)
{
    BOOL equal = compare_vec3(expected, vector, ulps);
    ok_(__FILE__, line)(equal,
            "Got unexpected vector {%.8e, %.8e, %.8e}, expected {%.8e, %.8e, %.8e}.\n",
            vector->x, vector->y, vector->z, expected->x, expected->y, expected->z);
}

#define expect_vec4(expected, vector, ulps) expect_vec4_(__LINE__, expected, vector, ulps)
static void expect_vec4_(unsigned int line, const D3DXVECTOR4 *expected, const D3DXVECTOR4 *vector, unsigned int ulps)
{
    BOOL equal = compare_vec4(expected, vector, ulps);
    ok_(__FILE__, line)(equal,
            "Got unexpected vector {%.8e, %.8e, %.8e, %.8e}, expected {%.8e, %.8e, %.8e, %.8e}.\n",
            vector->x, vector->y, vector->z, vector->w, expected->x, expected->y, expected->z, expected->w);
}

#define expect_color(expected, color, ulps) expect_color_(__LINE__, expected, color, ulps)
static void expect_color_(unsigned int line, const D3DXCOLOR *expected, const D3DXCOLOR *color, unsigned int ulps)
{
    BOOL equal = compare_color(expected, color, ulps);
    ok_(__FILE__, line)(equal,
            "Got unexpected color {%.8e, %.8e, %.8e, %.8e}, expected {%.8e, %.8e, %.8e, %.8e}.\n",
            color->r, color->g, color->b, color->a, expected->r, expected->g, expected->b, expected->a);
}

#define expect_plane(expected, plane, ulps) expect_plane_(__LINE__, expected, plane, ulps)
static void expect_plane_(unsigned int line, const D3DXPLANE *expected, const D3DXPLANE *plane, unsigned int ulps)
{
    BOOL equal = compare_plane(expected, plane, ulps);
    ok_(__FILE__, line)(equal,
            "Got unexpected plane {%.8e, %.8e, %.8e, %.8e}, expected {%.8e, %.8e, %.8e, %.8e}.\n",
            plane->a, plane->b, plane->c, plane->d, expected->a, expected->b, expected->c, expected->d);
}

#define expect_quaternion(expected, quaternion, ulps) expect_quaternion_(__LINE__, expected, quaternion, ulps)
static void expect_quaternion_(unsigned int line, const D3DXQUATERNION *expected,
        const D3DXQUATERNION *quaternion, unsigned int ulps)
{
    BOOL equal = compare_quaternion(expected, quaternion, ulps);
    ok_(__FILE__, line)(equal,
            "Got unexpected quaternion {%.8e, %.8e, %.8e, %.8e}, expected {%.8e, %.8e, %.8e, %.8e}.\n",
            quaternion->x, quaternion->y, quaternion->z, quaternion->w,
            expected->x, expected->y, expected->z, expected->w);
}

#define expect_matrix(expected, matrix, ulps) expect_matrix_(__LINE__, expected, matrix, ulps)
static void expect_matrix_(unsigned int line, const D3DXMATRIX *expected, const D3DXMATRIX *matrix, unsigned int ulps)
{
    BOOL equal = compare_matrix(expected, matrix, ulps);
    ok_(__FILE__, line)(equal,
            "Got unexpected matrix {%.8e, %.8e, %.8e, %.8e, %.8e, %.8e, %.8e, %.8e, "
            "%.8e, %.8e, %.8e, %.8e, %.8e, %.8e, %.8e, %.8e}, "
            "expected {%.8e, %.8e, %.8e, %.8e, %.8e, %.8e, %.8e, %.8e, "
            "%.8e, %.8e, %.8e, %.8e, %.8e, %.8e, %.8e, %.8e}.\n",
            U(*matrix).m[0][0], U(*matrix).m[0][1], U(*matrix).m[0][2], U(*matrix).m[0][3],
            U(*matrix).m[1][0], U(*matrix).m[1][1], U(*matrix).m[1][2], U(*matrix).m[1][3],
            U(*matrix).m[2][0], U(*matrix).m[2][1], U(*matrix).m[2][2], U(*matrix).m[2][3],
            U(*matrix).m[3][0], U(*matrix).m[3][1], U(*matrix).m[3][2], U(*matrix).m[3][3],
            U(*expected).m[0][0], U(*expected).m[0][1], U(*expected).m[0][2], U(*expected).m[0][3],
            U(*expected).m[1][0], U(*expected).m[1][1], U(*expected).m[1][2], U(*expected).m[1][3],
            U(*expected).m[2][0], U(*expected).m[2][1], U(*expected).m[2][2], U(*expected).m[2][3],
            U(*expected).m[3][0], U(*expected).m[3][1], U(*expected).m[3][2], U(*expected).m[3][3]);
}

#define expect_vec4_array(count, expected, vector, ulps) expect_vec4_array_(__LINE__, count, expected, vector, ulps)
static void expect_vec4_array_(unsigned int line, unsigned int count, const D3DXVECTOR4 *expected,
        const D3DXVECTOR4 *vector, unsigned int ulps)
{
    BOOL equal;
    unsigned int i;

    for (i = 0; i < count; ++i)
    {
        equal = compare_vec4(&expected[i], &vector[i], ulps);
        ok_(__FILE__, line)(equal,
                "Got unexpected vector {%.8e, %.8e, %.8e, %.8e} at index %u, expected {%.8e, %.8e, %.8e, %.8e}.\n",
                vector[i].x, vector[i].y, vector[i].z, vector[i].w, i,
                expected[i].x, expected[i].y, expected[i].z, expected[i].w);
        if (!equal)
            break;
    }
}

static void D3DXColorTest(void)
{
    D3DXCOLOR color, color1, color2, expected, got;
    LPD3DXCOLOR funcpointer;
    FLOAT scale;

    color.r = 0.2f; color.g = 0.75f; color.b = 0.41f; color.a = 0.93f;
    color1.r = 0.6f; color1.g = 0.55f; color1.b = 0.23f; color1.a = 0.82f;
    color2.r = 0.3f; color2.g = 0.5f; color2.b = 0.76f; color2.a = 0.11f;

    scale = 0.3f;

/*_______________D3DXColorAdd________________*/
    expected.r = 0.9f; expected.g = 1.05f; expected.b = 0.99f, expected.a = 0.93f;
    D3DXColorAdd(&got,&color1,&color2);
    expect_color(&expected, &got, 1);
    /* Test the NULL case */
    funcpointer = D3DXColorAdd(&got,NULL,&color2);
    ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);
    funcpointer = D3DXColorAdd(NULL,NULL,&color2);
    ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);
    funcpointer = D3DXColorAdd(NULL,NULL,NULL);
    ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);

/*_______________D3DXColorAdjustContrast______*/
    expected.r = 0.41f; expected.g = 0.575f; expected.b = 0.473f, expected.a = 0.93f;
    D3DXColorAdjustContrast(&got,&color,scale);
    expect_color(&expected, &got, 0);

/*_______________D3DXColorAdjustSaturation______*/
    expected.r = 0.486028f; expected.g = 0.651028f; expected.b = 0.549028f, expected.a = 0.93f;
    D3DXColorAdjustSaturation(&got,&color,scale);
    expect_color(&expected, &got, 16);

/*_______________D3DXColorLerp________________*/
    expected.r = 0.32f; expected.g = 0.69f; expected.b = 0.356f; expected.a = 0.897f;
    D3DXColorLerp(&got,&color,&color1,scale);
    expect_color(&expected, &got, 0);
    /* Test the NULL case */
    funcpointer = D3DXColorLerp(&got,NULL,&color1,scale);
    ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);
    funcpointer = D3DXColorLerp(NULL,NULL,&color1,scale);
    ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);
    funcpointer = D3DXColorLerp(NULL,NULL,NULL,scale);
    ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);

/*_______________D3DXColorModulate________________*/
    expected.r = 0.18f; expected.g = 0.275f; expected.b = 0.1748f; expected.a = 0.0902f;
    D3DXColorModulate(&got,&color1,&color2);
    expect_color(&expected, &got, 0);
    /* Test the NULL case */
    funcpointer = D3DXColorModulate(&got,NULL,&color2);
    ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);
    funcpointer = D3DXColorModulate(NULL,NULL,&color2);
    ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);
    funcpointer = D3DXColorModulate(NULL,NULL,NULL);
    ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);

/*_______________D3DXColorNegative________________*/
    expected.r = 0.8f; expected.g = 0.25f; expected.b = 0.59f; expected.a = 0.93f;
    D3DXColorNegative(&got,&color);
    expect_color(&expected, &got, 1);
    /* Test the greater than 1 case */
    color1.r = 0.2f; color1.g = 1.75f; color1.b = 0.41f; color1.a = 0.93f;
    expected.r = 0.8f; expected.g = -0.75f; expected.b = 0.59f; expected.a = 0.93f;
    D3DXColorNegative(&got,&color1);
    expect_color(&expected, &got, 1);
    /* Test the negative case */
    color1.r = 0.2f; color1.g = -0.75f; color1.b = 0.41f; color1.a = 0.93f;
    expected.r = 0.8f; expected.g = 1.75f; expected.b = 0.59f; expected.a = 0.93f;
    D3DXColorNegative(&got,&color1);
    expect_color(&expected, &got, 1);
    /* Test the NULL case */
    funcpointer = D3DXColorNegative(&got,NULL);
    ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);
    funcpointer = D3DXColorNegative(NULL,NULL);
    ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);

/*_______________D3DXColorScale________________*/
    expected.r = 0.06f; expected.g = 0.225f; expected.b = 0.123f; expected.a = 0.279f;
    D3DXColorScale(&got,&color,scale);
    expect_color(&expected, &got, 1);
    /* Test the NULL case */
    funcpointer = D3DXColorScale(&got,NULL,scale);
    ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);
    funcpointer = D3DXColorScale(NULL,NULL,scale);
    ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);

/*_______________D3DXColorSubtract_______________*/
    expected.r = -0.1f; expected.g = 0.25f; expected.b = -0.35f, expected.a = 0.82f;
    D3DXColorSubtract(&got,&color,&color2);
    expect_color(&expected, &got, 1);
    /* Test the NULL case */
    funcpointer = D3DXColorSubtract(&got,NULL,&color2);
    ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);
    funcpointer = D3DXColorSubtract(NULL,NULL,&color2);
    ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);
    funcpointer = D3DXColorSubtract(NULL,NULL,NULL);
    ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);
}

static void D3DXFresnelTest(void)
{
    float fresnel;
    BOOL equal;

    fresnel = D3DXFresnelTerm(0.5f, 1.5f);
    equal = compare_float(fresnel, 8.91867056e-02f, 1);
    ok(equal, "Got unexpected Fresnel term %.8e.\n", fresnel);
}

static void D3DXMatrixTest(void)
{
    D3DXMATRIX expectedmat, gotmat, mat, mat2, mat3;
    BOOL expected, got, equal;
    float angle, determinant;
    D3DXMATRIX *funcpointer;
    D3DXPLANE plane;
    D3DXQUATERNION q, r;
    D3DXVECTOR3 at, axis, eye, last;
    D3DXVECTOR4 light;

    U(mat).m[0][1] = 5.0f; U(mat).m[0][2] = 7.0f; U(mat).m[0][3] = 8.0f;
    U(mat).m[1][0] = 11.0f; U(mat).m[1][2] = 16.0f; U(mat).m[1][3] = 33.0f;
    U(mat).m[2][0] = 19.0f; U(mat).m[2][1] = -21.0f; U(mat).m[2][3] = 43.0f;
    U(mat).m[3][0] = 2.0f; U(mat).m[3][1] = 3.0f; U(mat).m[3][2] = -4.0f;
    U(mat).m[0][0] = 10.0f; U(mat).m[1][1] = 20.0f; U(mat).m[2][2] = 30.0f;
    U(mat).m[3][3] = -40.0f;

    U(mat2).m[0][0] = 1.0f; U(mat2).m[1][0] = 2.0f; U(mat2).m[2][0] = 3.0f;
    U(mat2).m[3][0] = 4.0f; U(mat2).m[0][1] = 5.0f; U(mat2).m[1][1] = 6.0f;
    U(mat2).m[2][1] = 7.0f; U(mat2).m[3][1] = 8.0f; U(mat2).m[0][2] = -8.0f;
    U(mat2).m[1][2] = -7.0f; U(mat2).m[2][2] = -6.0f; U(mat2).m[3][2] = -5.0f;
    U(mat2).m[0][3] = -4.0f; U(mat2).m[1][3] = -3.0f; U(mat2).m[2][3] = -2.0f;
    U(mat2).m[3][3] = -1.0f;

    plane.a = -3.0f; plane.b = -1.0f; plane.c = 4.0f; plane.d = 7.0f;

    q.x = 1.0f; q.y = -4.0f; q.z =7.0f; q.w = -11.0f;
    r.x = 0.87f; r.y = 0.65f; r.z =0.43f; r.w= 0.21f;

    at.x = -2.0f; at.y = 13.0f; at.z = -9.0f;
    axis.x = 1.0f; axis.y = -3.0f; axis.z = 7.0f;
    eye.x = 8.0f; eye.y = -5.0f; eye.z = 5.75f;
    last.x = 9.7f; last.y = -8.6; last.z = 1.3f;

    light.x = 9.6f; light.y = 8.5f; light.z = 7.4; light.w = 6.3;

    angle = D3DX_PI/3.0f;

/*____________D3DXMatrixAffineTransformation______*/
    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;
    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;
    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;
    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;
    D3DXMatrixAffineTransformation(&gotmat, 3.56f, &at, &q, &axis);
    expect_matrix(&expectedmat, &gotmat, 0);

    /* Test the NULL case */
    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;
    D3DXMatrixAffineTransformation(&gotmat, 3.56f, NULL, &q, &axis);
    expect_matrix(&expectedmat, &gotmat, 0);

    U(expectedmat).m[3][0] = -1240.0f; U(expectedmat).m[3][1] = 670.0f; U(expectedmat).m[3][2] = 560.0f; U(expectedmat).m[3][3] = 1.0f;
    D3DXMatrixAffineTransformation(&gotmat, 3.56f, &at, &q, NULL);
    expect_matrix(&expectedmat, &gotmat, 0);

    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;
    D3DXMatrixAffineTransformation(&gotmat, 3.56f, NULL, &q, NULL);
    expect_matrix(&expectedmat, &gotmat, 0);

    U(expectedmat).m[0][0] = 3.56f; U(expectedmat).m[0][1] = 0.0f; U(expectedmat).m[0][2] = 0.0f; U(expectedmat).m[0][3] = 0.0f;
    U(expectedmat).m[1][0] = 0.0f; U(expectedmat).m[1][1] = 3.56f; U(expectedmat).m[1][2] = 0.0f; U(expectedmat).m[1][3] = 0.0f;
    U(expectedmat).m[2][0] = 0.0f; U(expectedmat).m[2][1] = 0.0f; U(expectedmat).m[2][2] = 3.56f; U(expectedmat).m[2][3] = 0.0f;
    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;
    D3DXMatrixAffineTransformation(&gotmat, 3.56f, NULL, NULL, &axis);
    expect_matrix(&expectedmat, &gotmat, 0);

    D3DXMatrixAffineTransformation(&gotmat, 3.56f, &at, NULL, &axis);
    expect_matrix(&expectedmat, &gotmat, 0);

    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;
    D3DXMatrixAffineTransformation(&gotmat, 3.56f, &at, NULL, NULL);
    expect_matrix(&expectedmat, &gotmat, 0);

    D3DXMatrixAffineTransformation(&gotmat, 3.56f, NULL, NULL, NULL);
    expect_matrix(&expectedmat, &gotmat, 0);

/*____________D3DXMatrixfDeterminant_____________*/
    determinant = D3DXMatrixDeterminant(&mat);
    equal = compare_float(determinant, -147888.0f, 0);
    ok(equal, "Got unexpected determinant %.8e.\n", determinant);

/*____________D3DXMatrixInverse______________*/
    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;
    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;
    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;
    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;
    D3DXMatrixInverse(&gotmat,&determinant,&mat);
    expect_matrix(&expectedmat, &gotmat, 1);
    equal = compare_float(determinant, -147888.0f, 0);
    ok(equal, "Got unexpected determinant %.8e.\n", determinant);
    funcpointer = D3DXMatrixInverse(&gotmat,NULL,&mat2);
    ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);

/*____________D3DXMatrixIsIdentity______________*/
    expected = FALSE;
    memset(&mat3, 0, sizeof(mat3));
    got = D3DXMatrixIsIdentity(&mat3);
    ok(expected == got, "Expected : %d, Got : %d\n", expected, got);
    D3DXMatrixIdentity(&mat3);
    expected = TRUE;
    got = D3DXMatrixIsIdentity(&mat3);
    ok(expected == got, "Expected : %d, Got : %d\n", expected, got);
    U(mat3).m[0][0] = 0.000009f;
    expected = FALSE;
    got = D3DXMatrixIsIdentity(&mat3);
    ok(expected == got, "Expected : %d, Got : %d\n", expected, got);
    /* Test the NULL case */
    expected = FALSE;
    got = D3DXMatrixIsIdentity(NULL);
    ok(expected == got, "Expected : %d, Got : %d\n", expected, got);

/*____________D3DXMatrixLookatLH_______________*/
    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;
    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;
    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;
    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;
    D3DXMatrixLookAtLH(&gotmat,&eye,&at,&axis);
    expect_matrix(&expectedmat, &gotmat, 32);

/*____________D3DXMatrixLookatRH_______________*/
    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;
    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;
    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;
    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;
    D3DXMatrixLookAtRH(&gotmat,&eye,&at,&axis);
    expect_matrix(&expectedmat, &gotmat, 32);

/*____________D3DXMatrixMultiply______________*/
    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;
    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;
    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;
    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;
    D3DXMatrixMultiply(&gotmat,&mat,&mat2);
    expect_matrix(&expectedmat, &gotmat, 0);

/*____________D3DXMatrixMultiplyTranspose____*/
    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;
    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;
    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;
    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;
    D3DXMatrixMultiplyTranspose(&gotmat,&mat,&mat2);
    expect_matrix(&expectedmat, &gotmat, 0);

/*____________D3DXMatrixOrthoLH_______________*/
    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;
    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;
    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;
    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;
    D3DXMatrixOrthoLH(&gotmat, 2.5f, 7.4f, -3.2f, -9.8f);
    expect_matrix(&expectedmat, &gotmat, 16);

/*____________D3DXMatrixOrthoOffCenterLH_______________*/
    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;
    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;
    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;
    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;
    D3DXMatrixOrthoOffCenterLH(&gotmat, 0.2f, 0.75f, -2.4f, 8.7f, 9.3, -12.6);
    expect_matrix(&expectedmat, &gotmat, 32);

/*____________D3DXMatrixOrthoOffCenterRH_______________*/
    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;
    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;
    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;
    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;
    D3DXMatrixOrthoOffCenterRH(&gotmat, 0.2f, 0.75f, -2.4f, 8.7f, 9.3, -12.6);
    expect_matrix(&expectedmat, &gotmat, 32);

/*____________D3DXMatrixOrthoRH_______________*/
    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;
    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;
    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;
    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;
    D3DXMatrixOrthoRH(&gotmat, 2.5f, 7.4f, -3.2f, -9.8f);
    expect_matrix(&expectedmat, &gotmat, 16);

/*____________D3DXMatrixPerspectiveFovLH_______________*/
    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;
    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;
    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;
    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;
    D3DXMatrixPerspectiveFovLH(&gotmat, 0.2f, 0.75f, -2.4f, 8.7f);
    expect_matrix(&expectedmat, &gotmat, 4);

/*____________D3DXMatrixPerspectiveFovRH_______________*/
    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;
    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;
    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;
    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;
    D3DXMatrixPerspectiveFovRH(&gotmat, 0.2f, 0.75f, -2.4f, 8.7f);
    expect_matrix(&expectedmat, &gotmat, 4);

/*____________D3DXMatrixPerspectiveLH_______________*/
    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;
    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;
    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;
    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;
    D3DXMatrixPerspectiveLH(&gotmat, 0.2f, 0.75f, -2.4f, 8.7f);
    expect_matrix(&expectedmat, &gotmat, 4);

/*____________D3DXMatrixPerspectiveOffCenterLH_______________*/
    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;
    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;
    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;
    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;
    D3DXMatrixPerspectiveOffCenterLH(&gotmat, 0.2f, 0.75f, -2.4f, 8.7f, 3.2f, -16.9f);
    expect_matrix(&expectedmat, &gotmat, 8);

/*____________D3DXMatrixPerspectiveOffCenterRH_______________*/
    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;
    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;
    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;
    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;
    D3DXMatrixPerspectiveOffCenterRH(&gotmat, 0.2f, 0.75f, -2.4f, 8.7f, 3.2f, -16.9f);
    expect_matrix(&expectedmat, &gotmat, 8);

/*____________D3DXMatrixPerspectiveRH_______________*/
    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;
    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;
    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;
    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;
    D3DXMatrixPerspectiveRH(&gotmat, 0.2f, 0.75f, -2.4f, 8.7f);
    expect_matrix(&expectedmat, &gotmat, 4);

/*____________D3DXMatrixReflect______________*/
    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;
    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;
    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;
    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;
    D3DXMatrixReflect(&gotmat,&plane);
    expect_matrix(&expectedmat, &gotmat, 32);

/*____________D3DXMatrixRotationAxis_____*/
    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;
    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;
    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;
    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;
    D3DXMatrixRotationAxis(&gotmat,&axis,angle);
    expect_matrix(&expectedmat, &gotmat, 32);

/*____________D3DXMatrixRotationQuaternion______________*/
    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;
    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;
    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;
    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;
    D3DXMatrixRotationQuaternion(&gotmat,&q);
    expect_matrix(&expectedmat, &gotmat, 0);

/*____________D3DXMatrixRotationX______________*/
    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;
    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;
    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;
    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;
    D3DXMatrixRotationX(&gotmat,angle);
    expect_matrix(&expectedmat, &gotmat, 1);

/*____________D3DXMatrixRotationY______________*/
    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;
    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;
    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;
    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;
    D3DXMatrixRotationY(&gotmat,angle);
    expect_matrix(&expectedmat, &gotmat, 1);

/*____________D3DXMatrixRotationYawPitchRoll____*/
    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;
    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;
    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;
    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;
    D3DXMatrixRotationYawPitchRoll(&gotmat, 3.0f*angle/5.0f, angle, 3.0f*angle/17.0f);
    expect_matrix(&expectedmat, &gotmat, 64);

/*____________D3DXMatrixRotationZ______________*/
    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;
    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;
    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;
    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;
    D3DXMatrixRotationZ(&gotmat,angle);
    expect_matrix(&expectedmat, &gotmat, 1);

/*____________D3DXMatrixScaling______________*/
    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;
    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;
    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;
    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;
    D3DXMatrixScaling(&gotmat,0.69f,0.53f,4.11f);
    expect_matrix(&expectedmat, &gotmat, 0);

/*____________D3DXMatrixShadow______________*/
    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;
    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;
    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;
    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;
    D3DXMatrixShadow(&gotmat,&light,&plane);
    expect_matrix(&expectedmat, &gotmat, 8);

/*____________D3DXMatrixTransformation______________*/
    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;
    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;
    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;
    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;
    D3DXMatrixTransformation(&gotmat,&at,&q,NULL,&eye,&r,&last);
    expect_matrix(&expectedmat, &gotmat, 512);

/*____________D3DXMatrixTranslation______________*/
    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;
    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;
    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;
    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;
    D3DXMatrixTranslation(&gotmat,0.69f,0.53f,4.11f);
    expect_matrix(&expectedmat, &gotmat, 0);

/*____________D3DXMatrixTranspose______________*/
    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;
    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;
    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;
    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;
    D3DXMatrixTranspose(&gotmat,&mat);
    expect_matrix(&expectedmat, &gotmat, 0);
}

static void D3DXPlaneTest(void)
{
    D3DXMATRIX mat;
    D3DXPLANE expectedplane, gotplane, nulplane, plane;
    D3DXVECTOR3 expectedvec, gotvec, vec1, vec2, vec3;
    LPD3DXVECTOR3 funcpointer;
    D3DXVECTOR4 vec;
    FLOAT expected, got;

    U(mat).m[0][1] = 5.0f; U(mat).m[0][2] = 7.0f; U(mat).m[0][3] = 8.0f;
    U(mat).m[1][0] = 11.0f; U(mat).m[1][2] = 16.0f; U(mat).m[1][3] = 33.0f;
    U(mat).m[2][0] = 19.0f; U(mat).m[2][1] = -21.0f; U(mat).m[2][3] = 43.0f;
    U(mat).m[3][0] = 2.0f; U(mat).m[3][1] = 3.0f; U(mat).m[3][2] = -4.0f;
    U(mat).m[0][0] = 10.0f; U(mat).m[1][1] = 20.0f; U(mat).m[2][2] = 30.0f;
    U(mat).m[3][3] = -40.0f;

    plane.a = -3.0f; plane.b = -1.0f; plane.c = 4.0f; plane.d = 7.0f;

    vec.x = 2.0f; vec.y = 5.0f; vec.z = -6.0f; vec.w = 11.0f;

/*_______________D3DXPlaneDot________________*/
    expected = 42.0f;
    got = D3DXPlaneDot(&plane,&vec),
    ok( expected == got, "Expected : %f, Got : %f\n",expected, got);
    expected = 0.0f;
    got = D3DXPlaneDot(NULL,&vec),
    ok( expected == got, "Expected : %f, Got : %f\n",expected, got);
    expected = 0.0f;
    got = D3DXPlaneDot(NULL,NULL),
    ok( expected == got, "Expected : %f, Got : %f\n",expected, got);

/*_______________D3DXPlaneDotCoord________________*/
    expected = -28.0f;
    got = D3DXPlaneDotCoord(&plane,&vec),
    ok( expected == got, "Expected : %f, Got : %f\n",expected, got);
    expected = 0.0f;
    got = D3DXPlaneDotCoord(NULL,&vec),
    ok( expected == got, "Expected : %f, Got : %f\n",expected, got);
    expected = 0.0f;
    got = D3DXPlaneDotCoord(NULL,NULL),
    ok( expected == got, "Expected : %f, Got : %f\n",expected, got);

/*_______________D3DXPlaneDotNormal______________*/
    expected = -35.0f;
    got = D3DXPlaneDotNormal(&plane,&vec),
    ok( expected == got, "Expected : %f, Got : %f\n",expected, got);
    expected = 0.0f;
    got = D3DXPlaneDotNormal(NULL,&vec),
    ok( expected == got, "Expected : %f, Got : %f\n",expected, got);
    expected = 0.0f;
    got = D3DXPlaneDotNormal(NULL,NULL),
    ok( expected == got, "Expected : %f, Got : %f\n",expected, got);

/*_______________D3DXPlaneFromPointNormal_______*/
    vec1.x = 11.0f; vec1.y = 13.0f; vec1.z = 15.0f;
    vec2.x = 17.0f; vec2.y = 31.0f; vec2.z = 24.0f;
    expectedplane.a = 17.0f; expectedplane.b = 31.0f; expectedplane.c = 24.0f; expectedplane.d = -950.0f;
    D3DXPlaneFromPointNormal(&gotplane, &vec1, &vec2);
    expect_plane(&expectedplane, &gotplane, 0);
    gotplane.a = vec2.x; gotplane.b = vec2.y; gotplane.c = vec2.z;
    D3DXPlaneFromPointNormal(&gotplane, &vec1, (D3DXVECTOR3 *)&gotplane);
    expect_plane(&expectedplane, &gotplane, 0);
    gotplane.a = vec1.x; gotplane.b = vec1.y; gotplane.c = vec1.z;
    expectedplane.d = -1826.0f;
    D3DXPlaneFromPointNormal(&gotplane, (D3DXVECTOR3 *)&gotplane, &vec2);
    expect_plane(&expectedplane, &gotplane, 0);

/*_______________D3DXPlaneFromPoints_______*/
    vec1.x = 1.0f; vec1.y = 2.0f; vec1.z = 3.0f;
    vec2.x = 1.0f; vec2.y = -6.0f; vec2.z = -5.0f;
    vec3.x = 83.0f; vec3.y = 74.0f; vec3.z = 65.0f;
    expectedplane.a = 0.085914f; expectedplane.b = -0.704492f; expectedplane.c = 0.704492f; expectedplane.d = -0.790406f;
    D3DXPlaneFromPoints(&gotplane,&vec1,&vec2,&vec3);
    expect_plane(&expectedplane, &gotplane, 64);

/*_______________D3DXPlaneIntersectLine___________*/
    vec1.x = 9.0f; vec1.y = 6.0f; vec1.z = 3.0f;
    vec2.x = 2.0f; vec2.y = 5.0f; vec2.z = 8.0f;
    expectedvec.x = 20.0f/3.0f; expectedvec.y = 17.0f/3.0f; expectedvec.z = 14.0f/3.0f;
    D3DXPlaneIntersectLine(&gotvec,&plane,&vec1,&vec2);
    expect_vec3(&expectedvec, &gotvec, 1);
    /* Test a parallel line */
    vec1.x = 11.0f; vec1.y = 13.0f; vec1.z = 15.0f;
    vec2.x = 17.0f; vec2.y = 31.0f; vec2.z = 24.0f;
    expectedvec.x = 20.0f/3.0f; expectedvec.y = 17.0f/3.0f; expectedvec.z = 14.0f/3.0f;
    funcpointer = D3DXPlaneIntersectLine(&gotvec,&plane,&vec1,&vec2);
    ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);

/*_______________D3DXPlaneNormalize______________*/
    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);
    D3DXPlaneNormalize(&gotplane, &plane);
    expect_plane(&expectedplane, &gotplane, 2);
    nulplane.a = 0.0; nulplane.b = 0.0f, nulplane.c = 0.0f; nulplane.d = 0.0f;
    expectedplane.a = 0.0f; expectedplane.b = 0.0f; expectedplane.c = 0.0f; expectedplane.d = 0.0f;
    D3DXPlaneNormalize(&gotplane, &nulplane);
    expect_plane(&expectedplane, &gotplane, 0);

/*_______________D3DXPlaneTransform____________*/
    expectedplane.a = 49.0f; expectedplane.b = -98.0f; expectedplane.c = 55.0f; expectedplane.d = -165.0f;
    D3DXPlaneTransform(&gotplane,&plane,&mat);
    expect_plane(&expectedplane, &gotplane, 0);
}

static void D3DXQuaternionTest(void)
{
    D3DXMATRIX mat;
    D3DXQUATERNION expectedquat, gotquat, Nq, Nq1, nul, smallq, smallr, q, r, s, t, u;
    BOOL expectedbool, gotbool, equal;
    float angle, got, scale, scale2;
    LPD3DXQUATERNION funcpointer;
    D3DXVECTOR3 axis, expectedvec;

    nul.x = 0.0f; nul.y = 0.0f; nul.z = 0.0f; nul.w = 0.0f;
    q.x = 1.0f, q.y = 2.0f; q.z = 4.0f; q.w = 10.0f;
    r.x = -3.0f; r.y = 4.0f; r.z = -5.0f; r.w = 7.0;
    t.x = -1111.0f, t.y = 111.0f; t.z = -11.0f; t.w = 1.0f;
    u.x = 91.0f; u.y = - 82.0f; u.z = 7.3f; u.w = -6.4f;
    smallq.x = 0.1f; smallq.y = 0.2f; smallq.z= 0.3f; smallq.w = 0.4f;
    smallr.x = 0.5f; smallr.y = 0.6f; smallr.z= 0.7f; smallr.w = 0.8f;

    scale = 0.3f;
    scale2 = 0.78f;

/*_______________D3DXQuaternionBaryCentric________________________*/
    expectedquat.x = -867.444458; expectedquat.y = 87.851111f; expectedquat.z = -9.937778f; expectedquat.w = 3.235555f;
    D3DXQuaternionBaryCentric(&gotquat,&q,&r,&t,scale,scale2);
    expect_quaternion(&expectedquat, &gotquat, 1);

/*_______________D3DXQuaternionConjugate________________*/
    expectedquat.x = -1.0f; expectedquat.y = -2.0f; expectedquat.z = -4.0f; expectedquat.w = 10.0f;
    D3DXQuaternionConjugate(&gotquat,&q);
    expect_quaternion(&expectedquat, &gotquat, 0);
    /* Test the NULL case */
    funcpointer = D3DXQuaternionConjugate(&gotquat,NULL);
    ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);
    funcpointer = D3DXQuaternionConjugate(NULL,NULL);
    ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);

/*_______________D3DXQuaternionDot______________________*/
    got = D3DXQuaternionDot(&q,&r);
    equal = compare_float(got, 55.0f, 0);
    ok(equal, "Got unexpected dot %.8e.\n", got);
    /* Tests the case NULL */
    got = D3DXQuaternionDot(NULL,&r);
    equal = compare_float(got, 0.0f, 0);
    ok(equal, "Got unexpected dot %.8e.\n", got);
    got = D3DXQuaternionDot(NULL,NULL);
    equal = compare_float(got, 0.0f, 0);
    ok(equal, "Got unexpected dot %.8e.\n", got);

/*_______________D3DXQuaternionExp______________________________*/
    expectedquat.x = -0.216382f; expectedquat.y = -0.432764f; expectedquat.z = -0.8655270f; expectedquat.w = -0.129449f;
    D3DXQuaternionExp(&gotquat,&q);
    expect_quaternion(&expectedquat, &gotquat, 16);
    /* Test the null quaternion */
    expectedquat.x = 0.0f; expectedquat.y = 0.0f; expectedquat.z = 0.0f; expectedquat.w = 1.0f;
    D3DXQuaternionExp(&gotquat,&nul);
    expect_quaternion(&expectedquat, &gotquat, 0);
    /* Test the case where the norm of the quaternion is <1 */
    Nq1.x = 0.2f; Nq1.y = 0.1f; Nq1.z = 0.3; Nq1.w= 0.9f;
    expectedquat.x = 0.195366; expectedquat.y = 0.097683f; expectedquat.z = 0.293049f; expectedquat.w = 0.930813f;
    D3DXQuaternionExp(&gotquat,&Nq1);
    expect_quaternion(&expectedquat, &gotquat, 8);

/*_______________D3DXQuaternionIdentity________________*/
    expectedquat.x = 0.0f; expectedquat.y = 0.0f; expectedquat.z = 0.0f; expectedquat.w = 1.0f;
    D3DXQuaternionIdentity(&gotquat);
    expect_quaternion(&expectedquat, &gotquat, 0);
    /* Test the NULL case */
    funcpointer = D3DXQuaternionIdentity(NULL);
    ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);

/*_______________D3DXQuaternionInverse________________________*/
    expectedquat.x = -1.0f/121.0f; expectedquat.y = -2.0f/121.0f; expectedquat.z = -4.0f/121.0f; expectedquat.w = 10.0f/121.0f;
    D3DXQuaternionInverse(&gotquat,&q);
    expect_quaternion(&expectedquat, &gotquat, 0);

    expectedquat.x = 1.0f; expectedquat.y = 2.0f; expectedquat.z = 4.0f; expectedquat.w = 10.0f;
    D3DXQuaternionInverse(&gotquat,&gotquat);
    expect_quaternion(&expectedquat, &gotquat, 1);


/*_______________D3DXQuaternionIsIdentity________________*/
    s.x = 0.0f; s.y = 0.0f; s.z = 0.0f; s.w = 1.0f;
    expectedbool = TRUE;
    gotbool = D3DXQuaternionIsIdentity(&s);
    ok( expectedbool == gotbool, "Expected boolean : %d, Got bool : %d\n", expectedbool, gotbool);
    s.x = 2.3f; s.y = -4.2f; s.z = 1.2f; s.w=0.2f;
    expectedbool = FALSE;
    gotbool = D3DXQuaternionIsIdentity(&q);
    ok( expectedbool == gotbool, "Expected boolean : %d, Got bool : %d\n", expectedbool, gotbool);
    /* Test the NULL case */
    gotbool = D3DXQuaternionIsIdentity(NULL);
    ok(gotbool == FALSE, "Expected boolean: %d, Got boolean: %d\n", FALSE, gotbool);

/*_______________D3DXQuaternionLength__________________________*/
    got = D3DXQuaternionLength(&q);
    equal = compare_float(got, 11.0f, 0);
    ok(equal, "Got unexpected length %.8e.\n", got);
    /* Tests the case NULL. */
    got = D3DXQuaternionLength(NULL);
    equal = compare_float(got, 0.0f, 0);
    ok(equal, "Got unexpected length %.8e.\n", got);

/*_______________D3DXQuaternionLengthSq________________________*/
    got = D3DXQuaternionLengthSq(&q);
    equal = compare_float(got, 121.0f, 0);
    ok(equal, "Got unexpected length %.8e.\n", got);
    /* Tests the case NULL */
    got = D3DXQuaternionLengthSq(NULL);
    equal = compare_float(got, 0.0f, 0);
    ok(equal, "Got unexpected length %.8e.\n", got);

/*_______________D3DXQuaternionLn______________________________*/
    expectedquat.x = 1.0f; expectedquat.y = 2.0f; expectedquat.z = 4.0f; expectedquat.w = 0.0f;
    D3DXQuaternionLn(&gotquat,&q);
    expect_quaternion(&expectedquat, &gotquat, 0);
    expectedquat.x = -3.0f; expectedquat.y = 4.0f; expectedquat.z = -5.0f; expectedquat.w = 0.0f;
    D3DXQuaternionLn(&gotquat,&r);
    expect_quaternion(&expectedquat, &gotquat, 0);
    Nq.x = 1.0f/11.0f; Nq.y = 2.0f/11.0f; Nq.z = 4.0f/11.0f; Nq.w=10.0f/11.0f;
    expectedquat.x = 0.093768f; expectedquat.y = 0.187536f; expectedquat.z = 0.375073f; expectedquat.w = 0.0f;
    D3DXQuaternionLn(&gotquat,&Nq);
    expect_quaternion(&expectedquat, &gotquat, 32);
    Nq.x = 0.0f; Nq.y = 0.0f; Nq.z = 0.0f; Nq.w = 1.0f;
    expectedquat.x = 0.0f; expectedquat.y = 0.0f; expectedquat.z = 0.0f; expectedquat.w = 0.0f;
    D3DXQuaternionLn(&gotquat,&Nq);
    expect_quaternion(&expectedquat, &gotquat, 0);
    Nq.x = 5.4f; Nq.y = 1.2f; Nq.z = -0.3f; Nq.w = -0.3f;
    expectedquat.x = 10.616652f; expectedquat.y = 2.359256f; expectedquat.z = -0.589814f; expectedquat.w = 0.0f;
    D3DXQuaternionLn(&gotquat,&Nq);
    expect_quaternion(&expectedquat, &gotquat, 1);
    /* Test the case where the norm of the quaternion is <1 */
    Nq1.x = 0.2f; Nq1.y = 0.1f; Nq1.z = 0.3; Nq1.w = 0.9f;
    expectedquat.x = 0.206945f; expectedquat.y = 0.103473f; expectedquat.z = 0.310418f; expectedquat.w = 0.0f;
    D3DXQuaternionLn(&gotquat,&Nq1);
    expect_quaternion(&expectedquat, &gotquat, 64);
    /* Test the case where the real part of the quaternion is -1.0f */
    Nq1.x = 0.2f; Nq1.y = 0.1f; Nq1.z = 0.3; Nq1.w = -1.0f;
    expectedquat.x = 0.2f; expectedquat.y = 0.1f; expectedquat.z = 0.3f; expectedquat.w = 0.0f;
    D3DXQuaternionLn(&gotquat,&Nq1);
    expect_quaternion(&expectedquat, &gotquat, 0);

/*_______________D3DXQuaternionMultiply________________________*/
    expectedquat.x = 3.0f; expectedquat.y = 61.0f; expectedquat.z = -32.0f; expectedquat.w = 85.0f;
    D3DXQuaternionMultiply(&gotquat,&q,&r);
    expect_quaternion(&expectedquat, &gotquat, 0);

/*_______________D3DXQuaternionNormalize________________________*/
    expectedquat.x = 1.0f/11.0f; expectedquat.y = 2.0f/11.0f; expectedquat.z = 4.0f/11.0f; expectedquat.w = 10.0f/11.0f;
    D3DXQuaternionNormalize(&gotquat,&q);
    expect_quaternion(&expectedquat, &gotquat, 1);

/*_______________D3DXQuaternionRotationAxis___________________*/
    axis.x = 2.0f; axis.y = 7.0; axis.z = 13.0f;
    angle = D3DX_PI/3.0f;
    expectedquat.x = 0.067116; expectedquat.y = 0.234905f; expectedquat.z = 0.436251f; expectedquat.w = 0.866025f;
    D3DXQuaternionRotationAxis(&gotquat,&axis,angle);
    expect_quaternion(&expectedquat, &gotquat, 64);
 /* Test the nul quaternion */
    axis.x = 0.0f; axis.y = 0.0; axis.z = 0.0f;
    expectedquat.x = 0.0f; expectedquat.y = 0.0f; expectedquat.z = 0.0f; expectedquat.w = 0.866025f;
    D3DXQuaternionRotationAxis(&gotquat,&axis,angle);
    expect_quaternion(&expectedquat, &gotquat, 8);

/*_______________D3DXQuaternionRotationMatrix___________________*/
    /* test when the trace is >0 */
    U(mat).m[0][1] = 5.0f; U(mat).m[0][2] = 7.0f; U(mat).m[0][3] = 8.0f;
    U(mat).m[1][0] = 11.0f; U(mat).m[1][2] = 16.0f; U(mat).m[1][3] = 33.0f;
    U(mat).m[2][0] = 19.0f; U(mat).m[2][1] = -21.0f; U(mat).m[2][3] = 43.0f;
    U(mat).m[3][0] = 2.0f; U(mat).m[3][1] = 3.0f; U(mat).m[3][2] = -4.0f;
    U(mat).m[0][0] = 10.0f; U(mat).m[1][1] = 20.0f; U(mat).m[2][2] = 30.0f;
    U(mat).m[3][3] = 48.0f;
    expectedquat.x = 2.368682f; expectedquat.y = 0.768221f; expectedquat.z = -0.384111f; expectedquat.w = 3.905125f;
    D3DXQuaternionRotationMatrix(&gotquat,&mat);
    expect_quaternion(&expectedquat, &gotquat, 16);
    /* test the case when the greater element is (2,2) */
    U(mat).m[0][1] = 5.0f; U(mat).m[0][2] = 7.0f; U(mat).m[0][3] = 8.0f;
    U(mat).m[1][0] = 11.0f; U(mat).m[1][2] = 16.0f; U(mat).m[1][3] = 33.0f;
    U(mat).m[2][0] = 19.0f; U(mat).m[2][1] = -21.0f; U(mat).m[2][3] = 43.0f;
    U(mat).m[3][0] = 2.0f; U(mat).m[3][1] = 3.0f; U(mat).m[3][2] = -4.0f;
    U(mat).m[0][0] = -10.0f; U(mat).m[1][1] = -60.0f; U(mat).m[2][2] = 40.0f;
    U(mat).m[3][3] = 48.0f;
    expectedquat.x = 1.233905f; expectedquat.y = -0.237290f; expectedquat.z = 5.267827f; expectedquat.w = -0.284747f;
    D3DXQuaternionRotationMatrix(&gotquat,&mat);
    expect_quaternion(&expectedquat, &gotquat, 64);
    /* test the case when the greater element is (1,1) */
    U(mat).m[0][1] = 5.0f; U(mat).m[0][2] = 7.0f; U(mat).m[0][3] = 8.0f;
    U(mat).m[1][0] = 11.0f; U(mat).m[1][2] = 16.0f; U(mat).m[1][3] = 33.0f;
    U(mat).m[2][0] = 19.0f; U(mat).m[2][1] = -21.0f; U(mat).m[2][3] = 43.0f;
    U(mat).m[3][0] = 2.0f; U(mat).m[3][1] = 3.0f; U(mat).m[3][2] = -4.0f;
    U(mat).m[0][0] = -10.0f; U(mat).m[1][1] = 60.0f; U(mat).m[2][2] = -80.0f;
    U(mat).m[3][3] = 48.0f;
    expectedquat.x = 0.651031f; expectedquat.y = 6.144103f; expectedquat.z = -0.203447f; expectedquat.w = 0.488273f;
    D3DXQuaternionRotationMatrix(&gotquat,&mat);
    expect_quaternion(&expectedquat, &gotquat, 8);
    /* test the case when the trace is near 0 in a matrix which is not a rotation */
    U(mat).m[0][1] = 5.0f; U(mat).m[0][2] = 7.0f; U(mat).m[0][3] = 8.0f;
    U(mat).m[1][0] = 11.0f; U(mat).m[1][2] = 16.0f; U(mat).m[1][3] = 33.0f;
    U(mat).m[2][0] = 19.0f; U(mat).m[2][1] = -21.0f; U(mat).m[2][3] = 43.0f;
    U(mat).m[3][0] = 2.0f; U(mat).m[3][1] = 3.0f; U(mat).m[3][2] = -4.0f;
    U(mat).m[0][0] = -10.0f; U(mat).m[1][1] = 10.0f; U(mat).m[2][2] = -0.9f;
    U(mat).m[3][3] = 48.0f;
    expectedquat.x = 1.709495f; expectedquat.y = 2.339872f; expectedquat.z = -0.534217f; expectedquat.w = 1.282122f;
    D3DXQuaternionRotationMatrix(&gotquat,&mat);
    expect_quaternion(&expectedquat, &gotquat, 8);
    /* test the case when the trace is 0.49 in a matrix which is not a rotation */
    U(mat).m[0][1] = 5.0f; U(mat).m[0][2] = 7.0f; U(mat).m[0][3] = 8.0f;
    U(mat).m[1][0] = 11.0f; U(mat).m[1][2] = 16.0f; U(mat).m[1][3] = 33.0f;
    U(mat).m[2][0] = 19.0f; U(mat).m[2][1] = -21.0f; U(mat).m[2][3] = 43.0f;
    U(mat).m[3][0] = 2.0f; U(mat).m[3][1] = 3.0f; U(mat).m[3][2] = -4.0f;
    U(mat).m[0][0] = -10.0f; U(mat).m[1][1] = 10.0f; U(mat).m[2][2] = -0.51f;
    U(mat).m[3][3] = 48.0f;
    expectedquat.x = 1.724923f; expectedquat.y = 2.318944f; expectedquat.z = -0.539039f; expectedquat.w = 1.293692f;
    D3DXQuaternionRotationMatrix(&gotquat,&mat);
    expect_quaternion(&expectedquat, &gotquat, 8);
    /* test the case when the trace is 0.51 in a matrix which is not a rotation */
    U(mat).m[0][1] = 5.0f; U(mat).m[0][2] = 7.0f; U(mat).m[0][3] = 8.0f;
    U(mat).m[1][0] = 11.0f; U(mat).m[1][2] = 16.0f; U(mat).m[1][3] = 33.0f;
    U(mat).m[2][0] = 19.0f; U(mat).m[2][1] = -21.0f; U(mat).m[2][3] = 43.0f;
    U(mat).m[3][0] = 2.0f; U(mat).m[3][1] = 3.0f; U(mat).m[3][2] = -4.0f;
    U(mat).m[0][0] = -10.0f; U(mat).m[1][1] = 10.0f; U(mat).m[2][2] = -0.49f;
    U(mat).m[3][3] = 48.0f;
    expectedquat.x = 1.725726f; expectedquat.y = 2.317865f; expectedquat.z = -0.539289f; expectedquat.w = 1.294294f;
    D3DXQuaternionRotationMatrix(&gotquat,&mat);
    expect_quaternion(&expectedquat, &gotquat, 8);
    /* test the case when the trace is 0.99 in a matrix which is not a rotation */
    U(mat).m[0][1] = 5.0f; U(mat).m[0][2] = 7.0f; U(mat).m[0][3] = 8.0f;
    U(mat).m[1][0] = 11.0f; U(mat).m[1][2] = 16.0f; U(mat).m[1][3] = 33.0f;
    U(mat).m[2][0] = 19.0f; U(mat).m[2][1] = -21.0f; U(mat).m[2][3] = 43.0f;
    U(mat).m[3][0] = 2.0f; U(mat).m[3][1] = 3.0f; U(mat).m[3][2] = -4.0f;
    U(mat).m[0][0] = -10.0f; U(mat).m[1][1] = 10.0f; U(mat).m[2][2] = -0.01f;
    U(mat).m[3][3] = 48.0f;
    expectedquat.x = 1.745328f; expectedquat.y = 2.291833f; expectedquat.z = -0.545415f; expectedquat.w = 1.308996f;
    D3DXQuaternionRotationMatrix(&gotquat,&mat);
    expect_quaternion(&expectedquat, &gotquat, 4);
    /* test the case when the trace is 1.0 in a matrix which is not a rotation */
    U(mat).m[0][1] = 5.0f; U(mat).m[0][2] = 7.0f; U(mat).m[0][3] = 8.0f;
    U(mat).m[1][0] = 11.0f; U(mat).m[1][2] = 16.0f; U(mat).m[1][3] = 33.0f;
    U(mat).m[2][0] = 19.0f; U(mat).m[2][1] = -21.0f; U(mat).m[2][3] = 43.0f;
    U(mat).m[3][0] = 2.0f; U(mat).m[3][1] = 3.0f; U(mat).m[3][2] = -4.0f;
    U(mat).m[0][0] = -10.0f; U(mat).m[1][1] = 10.0f; U(mat).m[2][2] = 0.0f;
    U(mat).m[3][3] = 48.0f;
    expectedquat.x = 1.745743f; expectedquat.y = 2.291288f; expectedquat.z = -0.545545f; expectedquat.w = 1.309307f;
    D3DXQuaternionRotationMatrix(&gotquat,&mat);
    expect_quaternion(&expectedquat, &gotquat, 8);
    /* test the case when the trace is 1.01 in a matrix which is not a rotation */
    U(mat).m[0][1] = 5.0f; U(mat).m[0][2] = 7.0f; U(mat).m[0][3] = 8.0f;
    U(mat).m[1][0] = 11.0f; U(mat).m[1][2] = 16.0f; U(mat).m[1][3] = 33.0f;
    U(mat).m[2][0] = 19.0f; U(mat).m[2][1] = -21.0f; U(mat).m[2][3] = 43.0f;
    U(mat).m[3][0] = 2.0f; U(mat).m[3][1] = 3.0f; U(mat).m[3][2] = -4.0f;
    U(mat).m[0][0] = -10.0f; U(mat).m[1][1] = 10.0f; U(mat).m[2][2] = 0.01f;
    U(mat).m[3][3] = 48.0f;
    expectedquat.x = 18.408188f; expectedquat.y = 5.970223f; expectedquat.z = -2.985111f; expectedquat.w = 0.502494f;
    D3DXQuaternionRotationMatrix(&gotquat,&mat);
    expect_quaternion(&expectedquat, &gotquat, 4);
    /* test the case when the trace is 1.5 in a matrix which is not a rotation */
    U(mat).m[0][1] = 5.0f; U(mat).m[0][2] = 7.0f; U(mat).m[0][3] = 8.0f;
    U(mat).m[1][0] = 11.0f; U(mat).m[1][2] = 16.0f; U(mat).m[1][3] = 33.0f;
    U(mat).m[2][0] = 19.0f; U(mat).m[2][1] = -21.0f; U(mat).m[2][3] = 43.0f;
    U(mat).m[3][0] = 2.0f; U(mat).m[3][1] = 3.0f; U(mat).m[3][2] = -4.0f;
    U(mat).m[0][0] = -10.0f; U(mat).m[1][1] = 10.0f; U(mat).m[2][2] = 0.5f;
    U(mat).m[3][3] = 48.0f;
    expectedquat.x = 15.105186f; expectedquat.y = 4.898980f; expectedquat.z = -2.449490f; expectedquat.w = 0.612372f;
    D3DXQuaternionRotationMatrix(&gotquat,&mat);
    expect_quaternion(&expectedquat, &gotquat, 8);
    /* test the case when the trace is 1.7 in a matrix which is not a rotation */
    U(mat).m[0][1] = 5.0f; U(mat).m[0][2] = 7.0f; U(mat).m[0][3] = 8.0f;
    U(mat).m[1][0] = 11.0f; U(mat).m[1][2] = 16.0f; U(mat).m[1][3] = 33.0f;
    U(mat).m[2][0] = 19.0f; U(mat).m[2][1] = -21.0f; U(mat).m[2][3] = 43.0f;
    U(mat).m[3][0] = 2.0f; U(mat).m[3][1] = 3.0f; U(mat).m[3][2] = -4.0f;
    U(mat).m[0][0] = -10.0f; U(mat).m[1][1] = 10.0f; U(mat).m[2][2] = 0.70f;
    U(mat).m[3][3] = 48.0f;
    expectedquat.x = 14.188852f; expectedquat.y = 4.601790f; expectedquat.z = -2.300895f; expectedquat.w = 0.651920f;
    D3DXQuaternionRotationMatrix(&gotquat,&mat);
    expect_quaternion(&expectedquat, &gotquat, 4);
    /* test the case when the trace is 1.99 in a matrix which is not a rotation */
    U(mat).m[0][1] = 5.0f; U(mat).m[0][2] = 7.0f; U(mat).m[0][3] = 8.0f;
    U(mat).m[1][0] = 11.0f; U(mat).m[1][2] = 16.0f; U(mat).m[1][3] = 33.0f;
    U(mat).m[2][0] = 19.0f; U(mat).m[2][1] = -21.0f; U(mat).m[2][3] = 43.0f;
    U(mat).m[3][0] = 2.0f; U(mat).m[3][1] = 3.0f; U(mat).m[3][2] = -4.0f;
    U(mat).m[0][0] = -10.0f; U(mat).m[1][1] = 10.0f; U(mat).m[2][2] = 0.99f;
    U(mat).m[3][3] = 48.0f;
    expectedquat.x = 13.114303f; expectedquat.y = 4.253287f; expectedquat.z = -2.126644f; expectedquat.w = 0.705337f;
    D3DXQuaternionRotationMatrix(&gotquat,&mat);
    expect_quaternion(&expectedquat, &gotquat, 4);
    /* test the case when the trace is 2.0 in a matrix which is not a rotation */
    U(mat).m[0][1] = 5.0f; U(mat).m[0][2] = 7.0f; U(mat).m[0][3] = 8.0f;
    U(mat).m[1][0] = 11.0f; U(mat).m[1][2] = 16.0f; U(mat).m[1][3] = 33.0f;
    U(mat).m[2][0] = 19.0f; U(mat).m[2][1] = -21.0f; U(mat).m[2][3] = 43.0f;
    U(mat).m[3][0] = 2.0f; U(mat).m[3][1] = 3.0f; U(mat).m[3][2] = -4.0f;
    U(mat).m[0][0] = -10.0f; U(mat).m[1][1] = 10.0f; U(mat).m[2][2] = 2.0f;
    U(mat).m[3][3] = 48.0f;
    expectedquat.x = 10.680980f; expectedquat.y = 3.464102f; expectedquat.z = -1.732051f; expectedquat.w = 0.866025f;
    D3DXQuaternionRotationMatrix(&gotquat,&mat);
    expect_quaternion(&expectedquat, &gotquat, 8);

/*_______________D3DXQuaternionRotationYawPitchRoll__________*/
    expectedquat.x = 0.303261f; expectedquat.y = 0.262299f; expectedquat.z = 0.410073f; expectedquat.w = 0.819190f;
    D3DXQuaternionRotationYawPitchRoll(&gotquat,D3DX_PI/4.0f,D3DX_PI/11.0f,D3DX_PI/3.0f);
    expect_quaternion(&expectedquat, &gotquat, 16);

/*_______________D3DXQuaternionSlerp________________________*/
    expectedquat.x = -0.2f; expectedquat.y = 2.6f; expectedquat.z = 1.3f; expectedquat.w = 9.1f;
    D3DXQuaternionSlerp(&gotquat,&q,&r,scale);
    expect_quaternion(&expectedquat, &gotquat, 4);
    expectedquat.x = 334.0f; expectedquat.y = -31.9f; expectedquat.z = 6.1f; expectedquat.w = 6.7f;
    D3DXQuaternionSlerp(&gotquat,&q,&t,scale);
    expect_quaternion(&expectedquat, &gotquat, 2);
    expectedquat.x = 0.239485f; expectedquat.y = 0.346580f; expectedquat.z = 0.453676f; expectedquat.w = 0.560772f;
    D3DXQuaternionSlerp(&gotquat,&smallq,&smallr,scale);
    expect_quaternion(&expectedquat, &gotquat, 32);

/*_______________D3DXQuaternionSquad________________________*/
    expectedquat.x = -156.296f; expectedquat.y = 30.242f; expectedquat.z = -2.5022f; expectedquat.w = 7.3576f;
    D3DXQuaternionSquad(&gotquat,&q,&r,&t,&u,scale);
    expect_quaternion(&expectedquat, &gotquat, 2);

/*_______________D3DXQuaternionSquadSetup___________________*/
    r.x = 1.0f, r.y = 2.0f; r.z = 4.0f; r.w = 10.0f;
    s.x = -3.0f; s.y = 4.0f; s.z = -5.0f; s.w = 7.0;
    t.x = -1111.0f, t.y = 111.0f; t.z = -11.0f; t.w = 1.0f;
    u.x = 91.0f; u.y = - 82.0f; u.z = 7.3f; u.w = -6.4f;
    D3DXQuaternionSquadSetup(&gotquat, &Nq, &Nq1, &r, &s, &t, &u);
    expectedquat.x = 7.121285f; expectedquat.y = 2.159964f; expectedquat.z = -3.855094f; expectedquat.w = 5.362844f;
    expect_quaternion(&expectedquat, &gotquat, 2);
    expectedquat.x = -1113.492920f; expectedquat.y = 82.679260f; expectedquat.z = -6.696645f; expectedquat.w = -4.090050f;
    expect_quaternion(&expectedquat, &Nq, 2);
    expectedquat.x = -1111.0f; expectedquat.y = 111.0f; expectedquat.z = -11.0f; expectedquat.w = 1.0f;
    expect_quaternion(&expectedquat, &Nq1, 0);
    gotquat = s;
    D3DXQuaternionSquadSetup(&gotquat, &Nq, &Nq1, &r, &gotquat, &t, &u);
    expectedquat.x = -1113.492920f; expectedquat.y = 82.679260f; expectedquat.z = -6.696645f; expectedquat.w = -4.090050f;
    expect_quaternion(&expectedquat, &Nq, 2);
    Nq1 = u;
    D3DXQuaternionSquadSetup(&gotquat, &Nq, &Nq1, &r, &s, &t, &Nq1);
    expect_quaternion(&expectedquat, &Nq, 2);
    r.x = 0.2f; r.y = 0.3f; r.z = 1.3f; r.w = -0.6f;
    s.x = -3.0f; s.y =-2.0f; s.z = 4.0f; s.w = 0.2f;
    t.x = 0.4f; t.y = 8.3f; t.z = -3.1f; t.w = -2.7f;
    u.x = 1.1f; u.y = -0.7f; u.z = 9.2f; u.w = 0.0f;
    D3DXQuaternionSquadSetup(&gotquat, &Nq, &Nq1, &r, &s, &u, &t);
    expectedquat.x = -4.139569f; expectedquat.y = -2.469115f; expectedquat.z = 2.364477f; expectedquat.w = 0.465494f;
    expect_quaternion(&expectedquat, &gotquat, 16);
    expectedquat.x = 2.342533f; expectedquat.y = 2.365127f; expectedquat.z = 8.628538f; expectedquat.w = -0.898356f;
    expect_quaternion(&expectedquat, &Nq, 16);
    expectedquat.x = 1.1f; expectedquat.y = -0.7f; expectedquat.z = 9.2f; expectedquat.w = 0.0f;
    expect_quaternion(&expectedquat, &Nq1, 0);
    D3DXQuaternionSquadSetup(&gotquat, &Nq, &Nq1, &r, &s, &t, &u);
    expectedquat.x = -3.754567f; expectedquat.y = -0.586085f; expectedquat.z = 3.815818f; expectedquat.w = -0.198150f;
    expect_quaternion(&expectedquat, &gotquat, 32);
    expectedquat.x = 0.140773f; expectedquat.y = -8.737090f; expectedquat.z = -0.516593f; expectedquat.w = 3.053942f;
    expect_quaternion(&expectedquat, &Nq, 16);
    expectedquat.x = -0.4f; expectedquat.y = -8.3f; expectedquat.z = 3.1f; expectedquat.w = 2.7f;
    expect_quaternion(&expectedquat, &Nq1, 0);
    r.x = -1.0f; r.y = 0.0f; r.z = 0.0f; r.w = 0.0f;
    s.x = 1.0f; s.y =0.0f; s.z = 0.0f; s.w = 0.0f;
    t.x = 1.0f; t.y = 0.0f; t.z = 0.0f; t.w = 0.0f;
    u.x = -1.0f; u.y = 0.0f; u.z = 0.0f; u.w = 0.0f;
    D3DXQuaternionSquadSetup(&gotquat, &Nq, &Nq1, &r, &s, &t, &u);
    expectedquat.x = 1.0f; expectedquat.y = 0.0f; expectedquat.z = 0.0f; expectedquat.w = 0.0f;
    expect_quaternion(&expectedquat, &gotquat, 0);
    expectedquat.x = 1.0f; expectedquat.y = 0.0f; expectedquat.z = 0.0f; expectedquat.w = 0.0f;
    expect_quaternion(&expectedquat, &Nq, 0);
    expectedquat.x = 1.0f; expectedquat.y = 0.0f; expectedquat.z = 0.0f; expectedquat.w = 0.0f;
    expect_quaternion(&expectedquat, &Nq1, 0);

/*_______________D3DXQuaternionToAxisAngle__________________*/
    Nq.x = 1.0f/22.0f; Nq.y = 2.0f/22.0f; Nq.z = 4.0f/22.0f; Nq.w = 10.0f/22.0f;
    expectedvec.x = 1.0f/22.0f; expectedvec.y = 2.0f/22.0f; expectedvec.z = 4.0f/22.0f;
    D3DXQuaternionToAxisAngle(&Nq,&axis,&angle);
    expect_vec3(&expectedvec, &axis, 0);
    equal = compare_float(angle, 2.197869f, 0);
    ok(equal, "Got unexpected angle %.8e.\n", angle);
    /* Test if |w|>1.0f */
    expectedvec.x = 1.0f; expectedvec.y = 2.0f; expectedvec.z = 4.0f;
    D3DXQuaternionToAxisAngle(&q,&axis,&angle);
    expect_vec3(&expectedvec, &axis, 0);
    /* Test the null quaternion */
    expectedvec.x = 0.0f; expectedvec.y = 0.0f; expectedvec.z = 0.0f;
    D3DXQuaternionToAxisAngle(&nul, &axis, &angle);
    expect_vec3(&expectedvec, &axis, 0);
    equal = compare_float(angle, 3.14159274e+00f, 0);
    ok(equal, "Got unexpected angle %.8e.\n", angle);

    D3DXQuaternionToAxisAngle(&nul, &axis, NULL);
    D3DXQuaternionToAxisAngle(&nul, NULL, &angle);
    expect_vec3(&expectedvec, &axis, 0);
    equal = compare_float(angle, 3.14159274e+00f, 0);
    ok(equal, "Got unexpected angle %.8e.\n", angle);
}

static void D3DXVector2Test(void)
{
    D3DXVECTOR2 expectedvec, gotvec, nul, u, v, w, x;
    LPD3DXVECTOR2 funcpointer;
    D3DXVECTOR4 expectedtrans, gottrans;
    float coeff1, coeff2, got, scale;
    D3DXMATRIX mat;
    BOOL equal;

    nul.x = 0.0f; nul.y = 0.0f;
    u.x = 3.0f; u.y = 4.0f;
    v.x = -7.0f; v.y = 9.0f;
    w.x = 4.0f; w.y = -3.0f;
    x.x = 2.0f; x.y = -11.0f;

    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;
    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;
    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;
    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;

    coeff1 = 2.0f; coeff2 = 5.0f;
    scale = -6.5f;

/*_______________D3DXVec2Add__________________________*/
    expectedvec.x = -4.0f; expectedvec.y = 13.0f;
    D3DXVec2Add(&gotvec,&u,&v);
    expect_vec2(&expectedvec, &gotvec, 0);
    /* Tests the case NULL */
    funcpointer = D3DXVec2Add(&gotvec,NULL,&v);
    ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);
    funcpointer = D3DXVec2Add(NULL,NULL,NULL);
    ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);

/*_______________D3DXVec2BaryCentric___________________*/
    expectedvec.x = -12.0f; expectedvec.y = -21.0f;
    D3DXVec2BaryCentric(&gotvec,&u,&v,&w,coeff1,coeff2);
    expect_vec2(&expectedvec, &gotvec, 0);

/*_______________D3DXVec2CatmullRom____________________*/
    expectedvec.x = 5820.25f; expectedvec.y = -3654.5625f;
    D3DXVec2CatmullRom(&gotvec,&u,&v,&w,&x,scale);
    expect_vec2(&expectedvec, &gotvec, 0);

/*_______________D3DXVec2CCW__________________________*/
    got = D3DXVec2CCW(&u, &v);
    equal = compare_float(got, 55.0f, 0);
    ok(equal, "Got unexpected ccw %.8e.\n", got);
    /* Tests the case NULL. */
    got = D3DXVec2CCW(NULL, &v);
    equal = compare_float(got, 0.0f, 0);
    ok(equal, "Got unexpected ccw %.8e.\n", got);
    got = D3DXVec2CCW(NULL, NULL);
    equal = compare_float(got, 0.0f, 0);
    ok(equal, "Got unexpected ccw %.8e.\n", got);

/*_______________D3DXVec2Dot__________________________*/
    got = D3DXVec2Dot(&u, &v);
    equal = compare_float(got, 15.0f, 0);
    ok(equal, "Got unexpected dot %.8e.\n", got);
    /* Tests the case NULL */
    got = D3DXVec2Dot(NULL, &v);
    equal = compare_float(got, 0.0f, 0);
    ok(equal, "Got unexpected dot %.8e.\n", got);
    got = D3DXVec2Dot(NULL, NULL);
    equal = compare_float(got, 0.0f, 0);
    ok(equal, "Got unexpected dot %.8e.\n", got);

/*_______________D3DXVec2Hermite__________________________*/
    expectedvec.x = 2604.625f; expectedvec.y = -4533.0f;
    D3DXVec2Hermite(&gotvec,&u,&v,&w,&x,scale);
    expect_vec2(&expectedvec, &gotvec, 0);

/*_______________D3DXVec2Length__________________________*/
    got = D3DXVec2Length(&u);
    equal = compare_float(got, 5.0f, 0);
    ok(equal, "Got unexpected length %.8e.\n", got);
    /* Tests the case NULL. */
    got = D3DXVec2Length(NULL);
    equal = compare_float(got, 0.0f, 0);
    ok(equal, "Got unexpected length %.8e.\n", got);

/*_______________D3DXVec2LengthSq________________________*/
    got = D3DXVec2LengthSq(&u);
    equal = compare_float(got, 25.0f, 0);
    ok(equal, "Got unexpected length %.8e.\n", got);
    /* Tests the case NULL. */
    got = D3DXVec2LengthSq(NULL);
    equal = compare_float(got, 0.0f, 0);
    ok(equal, "Got unexpected length %.8e.\n", got);

/*_______________D3DXVec2Lerp__________________________*/
    expectedvec.x = 68.0f; expectedvec.y = -28.5f;
    D3DXVec2Lerp(&gotvec, &u, &v, scale);
    expect_vec2(&expectedvec, &gotvec, 0);
    /* Tests the case NULL. */
    funcpointer = D3DXVec2Lerp(&gotvec,NULL,&v,scale);
    ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);
    funcpointer = D3DXVec2Lerp(NULL,NULL,NULL,scale);
    ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);

/*_______________D3DXVec2Maximize__________________________*/
    expectedvec.x = 3.0f; expectedvec.y = 9.0f;
    D3DXVec2Maximize(&gotvec, &u, &v);
    expect_vec2(&expectedvec, &gotvec, 0);
    /* Tests the case NULL. */
    funcpointer = D3DXVec2Maximize(&gotvec,NULL,&v);
    ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);
    funcpointer = D3DXVec2Maximize(NULL,NULL,NULL);
    ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);

/*_______________D3DXVec2Minimize__________________________*/
    expectedvec.x = -7.0f; expectedvec.y = 4.0f;
    D3DXVec2Minimize(&gotvec,&u,&v);
    expect_vec2(&expectedvec, &gotvec, 0);
    /* Tests the case NULL */
    funcpointer = D3DXVec2Minimize(&gotvec,NULL,&v);
    ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);
    funcpointer = D3DXVec2Minimize(NULL,NULL,NULL);
    ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);

/*_______________D3DXVec2Normalize_________________________*/
    expectedvec.x = 0.6f; expectedvec.y = 0.8f;
    D3DXVec2Normalize(&gotvec,&u);
    expect_vec2(&expectedvec, &gotvec, 0);
    /* Test the nul vector */
    expectedvec.x = 0.0f; expectedvec.y = 0.0f;
    D3DXVec2Normalize(&gotvec,&nul);
    expect_vec2(&expectedvec, &gotvec, 0);

/*_______________D3DXVec2Scale____________________________*/
    expectedvec.x = -19.5f; expectedvec.y = -26.0f;
    D3DXVec2Scale(&gotvec,&u,scale);
    expect_vec2(&expectedvec, &gotvec, 0);
    /* Tests the case NULL */
    funcpointer = D3DXVec2Scale(&gotvec,NULL,scale);
    ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);
    funcpointer = D3DXVec2Scale(NULL,NULL,scale);
    ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);

/*_______________D3DXVec2Subtract__________________________*/
    expectedvec.x = 10.0f; expectedvec.y = -5.0f;
    D3DXVec2Subtract(&gotvec, &u, &v);
    expect_vec2(&expectedvec, &gotvec, 0);
    /* Tests the case NULL. */
    funcpointer = D3DXVec2Subtract(&gotvec,NULL,&v);
    ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);
    funcpointer = D3DXVec2Subtract(NULL,NULL,NULL);
    ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);

/*_______________D3DXVec2Transform_______________________*/
    expectedtrans.x = 36.0f; expectedtrans.y = 44.0f; expectedtrans.z = 52.0f; expectedtrans.w = 60.0f;
    D3DXVec2Transform(&gottrans, &u, &mat);
    expect_vec4(&expectedtrans, &gottrans, 0);
    gottrans.x = u.x; gottrans.y = u.y;
    D3DXVec2Transform(&gottrans, (D3DXVECTOR2 *)&gottrans, &mat);
    expect_vec4(&expectedtrans, &gottrans, 0);

/*_______________D3DXVec2TransformCoord_______________________*/
    expectedvec.x = 0.6f; expectedvec.y = 11.0f/15.0f;
    D3DXVec2TransformCoord(&gotvec, &u, &mat);
    expect_vec2(&expectedvec, &gotvec, 1);
    gotvec.x = u.x; gotvec.y = u.y;
    D3DXVec2TransformCoord(&gotvec, (D3DXVECTOR2 *)&gotvec, &mat);
    expect_vec2(&expectedvec, &gotvec, 1);

 /*_______________D3DXVec2TransformNormal______________________*/
    expectedvec.x = 23.0f; expectedvec.y = 30.0f;
    D3DXVec2TransformNormal(&gotvec,&u,&mat);
    expect_vec2(&expectedvec, &gotvec, 0);
}

static void D3DXVector3Test(void)
{
    D3DVIEWPORT9 viewport;
    D3DXVECTOR3 expectedvec, gotvec, nul, u, v, w, x;
    LPD3DXVECTOR3 funcpointer;
    D3DXVECTOR4 expectedtrans, gottrans;
    D3DXMATRIX mat, projection, view, world;
    float coeff1, coeff2, got, scale;
    BOOL equal;

    nul.x = 0.0f; nul.y = 0.0f; nul.z = 0.0f;
    u.x = 9.0f; u.y = 6.0f; u.z = 2.0f;
    v.x = 2.0f; v.y = -3.0f; v.z = -4.0;
    w.x = 3.0f; w.y = -5.0f; w.z = 7.0f;
    x.x = 4.0f; x.y = 1.0f; x.z = 11.0f;

    viewport.Width = 800; viewport.MinZ = 0.2f; viewport.X = 10;
    viewport.Height = 680; viewport.MaxZ = 0.9f; viewport.Y = 5;

    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;
    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;
    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;
    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;

    U(view).m[0][1] = 5.0f; U(view).m[0][2] = 7.0f; U(view).m[0][3] = 8.0f;
    U(view).m[1][0] = 11.0f; U(view).m[1][2] = 16.0f; U(view).m[1][3] = 33.0f;
    U(view).m[2][0] = 19.0f; U(view).m[2][1] = -21.0f; U(view).m[2][3] = 43.0f;
    U(view).m[3][0] = 2.0f; U(view).m[3][1] = 3.0f; U(view).m[3][2] = -4.0f;
    U(view).m[0][0] = 10.0f; U(view).m[1][1] = 20.0f; U(view).m[2][2] = 30.0f;
    U(view).m[3][3] = -40.0f;

    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;
    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;
    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;
    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;

    coeff1 = 2.0f; coeff2 = 5.0f;
    scale = -6.5f;

/*_______________D3DXVec3Add__________________________*/
    expectedvec.x = 11.0f; expectedvec.y = 3.0f; expectedvec.z = -2.0f;
    D3DXVec3Add(&gotvec,&u,&v);
    expect_vec3(&expectedvec, &gotvec, 0);
    /* Tests the case NULL */
    funcpointer = D3DXVec3Add(&gotvec,NULL,&v);
    ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);
    funcpointer = D3DXVec3Add(NULL,NULL,NULL);
    ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);

/*_______________D3DXVec3BaryCentric___________________*/
    expectedvec.x = -35.0f; expectedvec.y = -67.0; expectedvec.z = 15.0f;
    D3DXVec3BaryCentric(&gotvec,&u,&v,&w,coeff1,coeff2);
    expect_vec3(&expectedvec, &gotvec, 0);

/*_______________D3DXVec3CatmullRom____________________*/
    expectedvec.x = 1458.0f; expectedvec.y = 22.1875f; expectedvec.z = 4141.375f;
    D3DXVec3CatmullRom(&gotvec,&u,&v,&w,&x,scale);
    expect_vec3(&expectedvec, &gotvec, 0);

/*_______________D3DXVec3Cross________________________*/
    expectedvec.x = -18.0f; expectedvec.y = 40.0f; expectedvec.z = -39.0f;
    D3DXVec3Cross(&gotvec,&u,&v);
    expect_vec3(&expectedvec, &gotvec, 0);
    expectedvec.x = -277.0f; expectedvec.y = -150.0f; expectedvec.z = -26.0f;
    D3DXVec3Cross(&gotvec,&gotvec,&v);
    expect_vec3(&expectedvec, &gotvec, 0);
    /* Tests the case NULL */
    funcpointer = D3DXVec3Cross(&gotvec,NULL,&v);
    ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);
    funcpointer = D3DXVec3Cross(NULL,NULL,NULL);
    ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);

/*_______________D3DXVec3Dot__________________________*/
    got = D3DXVec3Dot(&u, &v);
    equal = compare_float(got, -8.0f, 0);
    ok(equal, "Got unexpected dot %.8e.\n", got);
    /* Tests the case NULL */
    got = D3DXVec3Dot(NULL, &v);
    equal = compare_float(got, 0.0f, 0);
    ok(equal, "Got unexpected dot %.8e.\n", got);
    got = D3DXVec3Dot(NULL, NULL);
    equal = compare_float(got, 0.0f, 0);
    ok(equal, "Got unexpected dot %.8e.\n", got);

/*_______________D3DXVec3Hermite__________________________*/
    expectedvec.x = -6045.75f; expectedvec.y = -6650.0f; expectedvec.z = 1358.875f;
    D3DXVec3Hermite(&gotvec,&u,&v,&w,&x,scale);
    expect_vec3(&expectedvec, &gotvec, 0);

/*_______________D3DXVec3Length__________________________*/
    got = D3DXVec3Length(&u);
    equal = compare_float(got, 11.0f, 0);
    ok(equal, "Got unexpected length %.8e.\n", got);
    /* Tests the case NULL. */
    got = D3DXVec3Length(NULL);
    equal = compare_float(got, 0.0f, 0);
    ok(equal, "Got unexpected length %.8e.\n", got);

/*_______________D3DXVec3LengthSq________________________*/
    got = D3DXVec3LengthSq(&u);
    equal = compare_float(got, 121.0f, 0);
    ok(equal, "Got unexpected length %.8e.\n", got);
    /* Tests the case NULL. */
    got = D3DXVec3LengthSq(NULL);
    equal = compare_float(got, 0.0f, 0);
    ok(equal, "Got unexpected length %.8e.\n", got);

/*_______________D3DXVec3Lerp__________________________*/
    expectedvec.x = 54.5f; expectedvec.y = 64.5f, expectedvec.z = 41.0f ;
    D3DXVec3Lerp(&gotvec,&u,&v,scale);
    expect_vec3(&expectedvec, &gotvec, 0);
    /* Tests the case NULL */
    funcpointer = D3DXVec3Lerp(&gotvec,NULL,&v,scale);
    ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);
    funcpointer = D3DXVec3Lerp(NULL,NULL,NULL,scale);
    ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);

/*_______________D3DXVec3Maximize__________________________*/
    expectedvec.x = 9.0f; expectedvec.y = 6.0f; expectedvec.z = 2.0f;
    D3DXVec3Maximize(&gotvec,&u,&v);
    expect_vec3(&expectedvec, &gotvec, 0);
    /* Tests the case NULL */
    funcpointer = D3DXVec3Maximize(&gotvec,NULL,&v);
    ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);
    funcpointer = D3DXVec3Maximize(NULL,NULL,NULL);
    ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);

/*_______________D3DXVec3Minimize__________________________*/
    expectedvec.x = 2.0f; expectedvec.y = -3.0f; expectedvec.z = -4.0f;
    D3DXVec3Minimize(&gotvec,&u,&v);
    expect_vec3(&expectedvec, &gotvec, 0);
    /* Tests the case NULL */
    funcpointer = D3DXVec3Minimize(&gotvec,NULL,&v);
    ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);
    funcpointer = D3DXVec3Minimize(NULL,NULL,NULL);
    ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);

/*_______________D3DXVec3Normalize_________________________*/
    expectedvec.x = 9.0f/11.0f; expectedvec.y = 6.0f/11.0f; expectedvec.z = 2.0f/11.0f;
    D3DXVec3Normalize(&gotvec,&u);
    expect_vec3(&expectedvec, &gotvec, 1);
    /* Test the nul vector */
    expectedvec.x = 0.0f; expectedvec.y = 0.0f; expectedvec.z = 0.0f;
    D3DXVec3Normalize(&gotvec,&nul);
    expect_vec3(&expectedvec, &gotvec, 0);

/*_______________D3DXVec3Scale____________________________*/
    expectedvec.x = -58.5f; expectedvec.y = -39.0f; expectedvec.z = -13.0f;
    D3DXVec3Scale(&gotvec,&u,scale);
    expect_vec3(&expectedvec, &gotvec, 0);
    /* Tests the case NULL */
    funcpointer = D3DXVec3Scale(&gotvec,NULL,scale);
    ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);
    funcpointer = D3DXVec3Scale(NULL,NULL,scale);
    ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);

/*_______________D3DXVec3Subtract_______________________*/
    expectedvec.x = 7.0f; expectedvec.y = 9.0f; expectedvec.z = 6.0f;
    D3DXVec3Subtract(&gotvec,&u,&v);
    expect_vec3(&expectedvec, &gotvec, 0);
    /* Tests the case NULL */
    funcpointer = D3DXVec3Subtract(&gotvec,NULL,&v);
    ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);
    funcpointer = D3DXVec3Subtract(NULL,NULL,NULL);
    ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);

/*_______________D3DXVec3Transform_______________________*/
    expectedtrans.x = 70.0f; expectedtrans.y = 88.0f; expectedtrans.z = 106.0f; expectedtrans.w = 124.0f;
    D3DXVec3Transform(&gottrans, &u, &mat);
    expect_vec4(&expectedtrans, &gottrans, 0);

    gottrans.x = u.x; gottrans.y = u.y; gottrans.z = u.z;
    D3DXVec3Transform(&gottrans, (D3DXVECTOR3 *)&gottrans, &mat);
    expect_vec4(&expectedtrans, &gottrans, 0);

/*_______________D3DXVec3TransformCoord_______________________*/
    expectedvec.x = 70.0f/124.0f; expectedvec.y = 88.0f/124.0f; expectedvec.z = 106.0f/124.0f;
    D3DXVec3TransformCoord(&gotvec,&u,&mat);
    expect_vec3(&expectedvec, &gotvec, 1);

/*_______________D3DXVec3TransformNormal______________________*/
    expectedvec.x = 57.0f; expectedvec.y = 74.0f; expectedvec.z = 91.0f;
    D3DXVec3TransformNormal(&gotvec,&u,&mat);
    expect_vec3(&expectedvec, &gotvec, 0);

/*_______________D3DXVec3Project_________________________*/
    expectedvec.x = 1135.721924f; expectedvec.y = 147.086914f; expectedvec.z = 0.153412f;
    D3DXMatrixPerspectiveFovLH(&projection,D3DX_PI/4.0f,20.0f/17.0f,1.0f,1000.0f);
    D3DXVec3Project(&gotvec,&u,&viewport,&projection,&view,&world);
    expect_vec3(&expectedvec, &gotvec, 32);
    /* World matrix can be omitted */
    D3DXMatrixMultiply(&mat,&world,&view);
    D3DXVec3Project(&gotvec,&u,&viewport,&projection,&mat,NULL);
    expect_vec3(&expectedvec, &gotvec, 32);
    /* Projection matrix can be omitted */
    D3DXMatrixMultiply(&mat,&view,&projection);
    D3DXVec3Project(&gotvec,&u,&viewport,NULL,&mat,&world);
    expect_vec3(&expectedvec, &gotvec, 32);
    /* View matrix can be omitted */
    D3DXMatrixMultiply(&mat,&world,&view);
    D3DXVec3Project(&gotvec,&u,&viewport,&projection,NULL,&mat);
    expect_vec3(&expectedvec, &gotvec, 32);
    /* All matrices can be omitted */
    expectedvec.x = 4010.000000f; expectedvec.y = -1695.000000f; expectedvec.z = 1.600000f;
    D3DXVec3Project(&gotvec,&u,&viewport,NULL,NULL,NULL);
    expect_vec3(&expectedvec, &gotvec, 2);
    /* Viewport can be omitted */
    expectedvec.x = 1.814305f; expectedvec.y = 0.582097f; expectedvec.z = -0.066555f;
    D3DXVec3Project(&gotvec,&u,NULL,&projection,&view,&world);
    expect_vec3(&expectedvec, &gotvec, 64);

/*_______________D3DXVec3Unproject_________________________*/
    expectedvec.x = -2.913411f; expectedvec.y = 1.593215f; expectedvec.z = 0.380724f;
    D3DXMatrixPerspectiveFovLH(&projection,D3DX_PI/4.0f,20.0f/17.0f,1.0f,1000.0f);
    D3DXVec3Unproject(&gotvec,&u,&viewport,&projection,&view,&world);
    expect_vec3(&expectedvec, &gotvec, 16);
    /* World matrix can be omitted */
    D3DXMatrixMultiply(&mat,&world,&view);
    D3DXVec3Unproject(&gotvec,&u,&viewport,&projection,&mat,NULL);
    expect_vec3(&expectedvec, &gotvec, 16);
    /* Projection matrix can be omitted */
    D3DXMatrixMultiply(&mat,&view,&projection);
    D3DXVec3Unproject(&gotvec,&u,&viewport,NULL,&mat,&world);
    expect_vec3(&expectedvec, &gotvec, 32);
    /* View matrix can be omitted */
    D3DXMatrixMultiply(&mat,&world,&view);
    D3DXVec3Unproject(&gotvec,&u,&viewport,&projection,NULL,&mat);
    expect_vec3(&expectedvec, &gotvec, 16);
    /* All matrices can be omitted */
    expectedvec.x = -1.002500f; expectedvec.y = 0.997059f; expectedvec.z = 2.571429f;
    D3DXVec3Unproject(&gotvec,&u,&viewport,NULL,NULL,NULL);
    expect_vec3(&expectedvec, &gotvec, 4);
    /* Viewport can be omitted */
    expectedvec.x = -11.018396f; expectedvec.y = 3.218991f; expectedvec.z = 1.380329f;
    D3DXVec3Unproject(&gotvec,&u,NULL,&projection,&view,&world);
    expect_vec3(&expectedvec, &gotvec, 8);
}

static void D3DXVector4Test(void)
{
    D3DXVECTOR4 expectedvec, gotvec, u, v, w, x;
    LPD3DXVECTOR4 funcpointer;
    D3DXVECTOR4 expectedtrans, gottrans;
    float coeff1, coeff2, got, scale;
    D3DXMATRIX mat;
    BOOL equal;

    u.x = 1.0f; u.y = 2.0f; u.z = 4.0f; u.w = 10.0;
    v.x = -3.0f; v.y = 4.0f; v.z = -5.0f; v.w = 7.0;
    w.x = 4.0f; w.y =6.0f; w.z = -2.0f; w.w = 1.0f;
    x.x = 6.0f; x.y = -7.0f; x.z =8.0f; x.w = -9.0f;

    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;
    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;
    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;
    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;

    coeff1 = 2.0f; coeff2 = 5.0;
    scale = -6.5f;

/*_______________D3DXVec4Add__________________________*/
    expectedvec.x = -2.0f; expectedvec.y = 6.0f; expectedvec.z = -1.0f; expectedvec.w = 17.0f;
    D3DXVec4Add(&gotvec,&u,&v);
    expect_vec4(&expectedvec, &gotvec, 0);
    /* Tests the case NULL */
    funcpointer = D3DXVec4Add(&gotvec,NULL,&v);
    ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);
    funcpointer = D3DXVec4Add(NULL,NULL,NULL);
    ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);

/*_______________D3DXVec4BaryCentric____________________*/
    expectedvec.x = 8.0f; expectedvec.y = 26.0; expectedvec.z =  -44.0f; expectedvec.w = -41.0f;
    D3DXVec4BaryCentric(&gotvec,&u,&v,&w,coeff1,coeff2);
    expect_vec4(&expectedvec, &gotvec, 0);

/*_______________D3DXVec4CatmullRom____________________*/
    expectedvec.x = 2754.625f; expectedvec.y = 2367.5625f; expectedvec.z = 1060.1875f; expectedvec.w = 131.3125f;
    D3DXVec4CatmullRom(&gotvec,&u,&v,&w,&x,scale);
    expect_vec4(&expectedvec, &gotvec, 0);

/*_______________D3DXVec4Cross_________________________*/
    expectedvec.x = 390.0f; expectedvec.y = -393.0f; expectedvec.z = -316.0f; expectedvec.w = 166.0f;
    D3DXVec4Cross(&gotvec,&u,&v,&w);
    expect_vec4(&expectedvec, &gotvec, 0);

/*_______________D3DXVec4Dot__________________________*/
    got = D3DXVec4Dot(&u, &v);
    equal = compare_float(got, 55.0f, 0);
    ok(equal, "Got unexpected dot %.8e.\n", got);
    /* Tests the case NULL. */
    got = D3DXVec4Dot(NULL, &v);
    equal = compare_float(got, 0.0f, 0);
    ok(equal, "Got unexpected dot %.8e.\n", got);
    got = D3DXVec4Dot(NULL, NULL);
    equal = compare_float(got, 0.0f, 0);
    ok(equal, "Got unexpected dot %.8e.\n", got);

/*_______________D3DXVec4Hermite_________________________*/
    expectedvec.x = 1224.625f; expectedvec.y = 3461.625f; expectedvec.z = -4758.875f; expectedvec.w = -5781.5f;
    D3DXVec4Hermite(&gotvec,&u,&v,&w,&x,scale);
    expect_vec4(&expectedvec, &gotvec, 0);

/*_______________D3DXVec4Length__________________________*/
    got = D3DXVec4Length(&u);
    equal = compare_float(got, 11.0f, 0);
    ok(equal, "Got unexpected length %.8e.\n", got);
    /* Tests the case NULL. */
    got = D3DXVec4Length(NULL);
    equal = compare_float(got, 0.0f, 0);
    ok(equal, "Got unexpected length %.8e.\n", got);

/*_______________D3DXVec4LengthSq________________________*/
    got = D3DXVec4LengthSq(&u);
    equal = compare_float(got, 121.0f, 0);
    ok(equal, "Got unexpected length %.8e.\n", got);
    /* Tests the case NULL. */
    got = D3DXVec4LengthSq(NULL);
    equal = compare_float(got, 0.0f, 0);
    ok(equal, "Got unexpected length %.8e.\n", got);

/*_______________D3DXVec4Lerp__________________________*/
    expectedvec.x = 27.0f; expectedvec.y = -11.0f; expectedvec.z = 62.5;  expectedvec.w = 29.5;
    D3DXVec4Lerp(&gotvec,&u,&v,scale);
    expect_vec4(&expectedvec, &gotvec, 0);
    /* Tests the case NULL */
    funcpointer = D3DXVec4Lerp(&gotvec,NULL,&v,scale);
    ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);
    funcpointer = D3DXVec4Lerp(NULL,NULL,NULL,scale);
    ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);

/*_______________D3DXVec4Maximize__________________________*/
    expectedvec.x = 1.0f; expectedvec.y = 4.0f; expectedvec.z = 4.0f; expectedvec.w = 10.0;
    D3DXVec4Maximize(&gotvec,&u,&v);
    expect_vec4(&expectedvec, &gotvec, 0);
    /* Tests the case NULL */
    funcpointer = D3DXVec4Maximize(&gotvec,NULL,&v);
    ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);
    funcpointer = D3DXVec4Maximize(NULL,NULL,NULL);
    ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);

/*_______________D3DXVec4Minimize__________________________*/
    expectedvec.x = -3.0f; expectedvec.y = 2.0f; expectedvec.z = -5.0f; expectedvec.w = 7.0;
    D3DXVec4Minimize(&gotvec,&u,&v);
    expect_vec4(&expectedvec, &gotvec, 0);
    /* Tests the case NULL */
    funcpointer = D3DXVec4Minimize(&gotvec,NULL,&v);
    ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);
    funcpointer = D3DXVec4Minimize(NULL,NULL,NULL);
    ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);

/*_______________D3DXVec4Normalize_________________________*/
    expectedvec.x = 1.0f/11.0f; expectedvec.y = 2.0f/11.0f; expectedvec.z = 4.0f/11.0f; expectedvec.w = 10.0f/11.0f;
    D3DXVec4Normalize(&gotvec,&u);
    expect_vec4(&expectedvec, &gotvec, 1);

/*_______________D3DXVec4Scale____________________________*/
    expectedvec.x = -6.5f; expectedvec.y = -13.0f; expectedvec.z = -26.0f; expectedvec.w = -65.0f;
    D3DXVec4Scale(&gotvec,&u,scale);
    expect_vec4(&expectedvec, &gotvec, 0);
    /* Tests the case NULL */
    funcpointer = D3DXVec4Scale(&gotvec,NULL,scale);
    ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);
    funcpointer = D3DXVec4Scale(NULL,NULL,scale);
    ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);

/*_______________D3DXVec4Subtract__________________________*/
    expectedvec.x = 4.0f; expectedvec.y = -2.0f; expectedvec.z = 9.0f; expectedvec.w = 3.0f;
    D3DXVec4Subtract(&gotvec,&u,&v);
    expect_vec4(&expectedvec, &gotvec, 0);
    /* Tests the case NULL */
    funcpointer = D3DXVec4Subtract(&gotvec,NULL,&v);
    ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);
    funcpointer = D3DXVec4Subtract(NULL,NULL,NULL);
    ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);

/*_______________D3DXVec4Transform_______________________*/
    expectedtrans.x = 177.0f; expectedtrans.y = 194.0f; expectedtrans.z = 211.0f; expectedtrans.w = 228.0f;
    D3DXVec4Transform(&gottrans,&u,&mat);
    expect_vec4(&expectedtrans, &gottrans, 0);
}

static void test_matrix_stack(void)
{
    ID3DXMatrixStack *stack;
    ULONG refcount;
    HRESULT hr;

    const D3DXMATRIX mat1 = {{{
         1.0f,  2.0f,  3.0f,  4.0f,
         5.0f,  6.0f,  7.0f,  8.0f,
         9.0f, 10.0f, 11.0f, 12.0f,
        13.0f, 14.0f, 15.0f, 16.0f
    }}};

    const D3DXMATRIX mat2 = {{{
        17.0f, 18.0f, 19.0f, 20.0f,
        21.0f, 22.0f, 23.0f, 24.0f,
        25.0f, 26.0f, 27.0f, 28.0f,
        29.0f, 30.0f, 31.0f, 32.0f
    }}};

    hr = D3DXCreateMatrixStack(0, &stack);
    ok(SUCCEEDED(hr), "Failed to create a matrix stack, hr %#x\n", hr);
    if (FAILED(hr)) return;

    ok(D3DXMatrixIsIdentity(ID3DXMatrixStack_GetTop(stack)),
            "The top of an empty matrix stack should be an identity matrix\n");

    hr = ID3DXMatrixStack_Pop(stack);
    ok(SUCCEEDED(hr), "Pop failed, hr %#x\n", hr);

    hr = ID3DXMatrixStack_Push(stack);
    ok(SUCCEEDED(hr), "Push failed, hr %#x\n", hr);
    ok(D3DXMatrixIsIdentity(ID3DXMatrixStack_GetTop(stack)), "The top should be an identity matrix\n");

    hr = ID3DXMatrixStack_Push(stack);
    ok(SUCCEEDED(hr), "Push failed, hr %#x\n", hr);

    hr = ID3DXMatrixStack_LoadMatrix(stack, &mat1);
    ok(SUCCEEDED(hr), "LoadMatrix failed, hr %#x\n", hr);
    expect_matrix(&mat1, ID3DXMatrixStack_GetTop(stack), 0);

    hr = ID3DXMatrixStack_Push(stack);
    ok(SUCCEEDED(hr), "Push failed, hr %#x\n", hr);
    expect_matrix(&mat1, ID3DXMatrixStack_GetTop(stack), 0);

    hr = ID3DXMatrixStack_LoadMatrix(stack, &mat2);
    ok(SUCCEEDED(hr), "LoadMatrix failed, hr %#x\n", hr);
    expect_matrix(&mat2, ID3DXMatrixStack_GetTop(stack), 0);

    hr = ID3DXMatrixStack_Push(stack);
    ok(SUCCEEDED(hr), "Push failed, hr %#x\n", hr);
    expect_matrix(&mat2, ID3DXMatrixStack_GetTop(stack), 0);

    hr = ID3DXMatrixStack_LoadIdentity(stack);
    ok(SUCCEEDED(hr), "LoadIdentity failed, hr %#x\n", hr);
    ok(D3DXMatrixIsIdentity(ID3DXMatrixStack_GetTop(stack)), "The top should be an identity matrix\n");

    hr = ID3DXMatrixStack_Pop(stack);
    ok(SUCCEEDED(hr), "Pop failed, hr %#x\n", hr);
    expect_matrix(&mat2, ID3DXMatrixStack_GetTop(stack), 0);

    hr = ID3DXMatrixStack_Pop(stack);
    ok(SUCCEEDED(hr), "Pop failed, hr %#x\n", hr);
    expect_matrix(&mat1, ID3DXMatrixStack_GetTop(stack), 0);

    hr = ID3DXMatrixStack_Pop(stack);
    ok(SUCCEEDED(hr), "Pop failed, hr %#x\n", hr);
    ok(D3DXMatrixIsIdentity(ID3DXMatrixStack_GetTop(stack)), "The top should be an identity matrix\n");

    hr = ID3DXMatrixStack_Pop(stack);
    ok(SUCCEEDED(hr), "Pop failed, hr %#x\n", hr);
    ok(D3DXMatrixIsIdentity(ID3DXMatrixStack_GetTop(stack)), "The top should be an identity matrix\n");

    refcount = ID3DXMatrixStack_Release(stack);
    ok(!refcount, "Matrix stack has %u references left.\n", refcount);
}

static void test_Matrix_AffineTransformation2D(void)
{
    D3DXMATRIX exp_mat, got_mat;
    D3DXVECTOR2 center, position;
    FLOAT angle, scale;

    center.x = 3.0f;
    center.y = 4.0f;

    position.x = -6.0f;
    position.y = 7.0f;

    angle = D3DX_PI/3.0f;

    scale = 20.0f;

    U(exp_mat).m[0][0] = 10.0f;
    U(exp_mat).m[1][0] = -17.320507f;
    U(exp_mat).m[2][0] = 0.0f;
    U(exp_mat).m[3][0] = -1.035898f;
    U(exp_mat).m[0][1] = 17.320507f;
    U(exp_mat).m[1][1] = 10.0f;
    U(exp_mat).m[2][1] = 0.0f;
    U(exp_mat).m[3][1] = 6.401924f;
    U(exp_mat).m[0][2] = 0.0f;
    U(exp_mat).m[1][2] = 0.0f;
    U(exp_mat).m[2][2] = 1.0f;
    U(exp_mat).m[3][2] = 0.0f;
    U(exp_mat).m[0][3] = 0.0f;
    U(exp_mat).m[1][3] = 0.0f;
    U(exp_mat).m[2][3] = 0.0f;
    U(exp_mat).m[3][3] = 1.0f;

    D3DXMatrixAffineTransformation2D(&got_mat, scale, &center, angle, &position);
    expect_matrix(&exp_mat, &got_mat, 2);

/*______________*/

    center.x = 3.0f;
    center.y = 4.0f;

    angle = D3DX_PI/3.0f;

    scale = 20.0f;

    U(exp_mat).m[0][0] = 10.0f;
    U(exp_mat).m[1][0] = -17.320507f;
    U(exp_mat).m[2][0] = 0.0f;
    U(exp_mat).m[3][0] = 4.964102f;
    U(exp_mat).m[0][1] = 17.320507f;
    U(exp_mat).m[1][1] = 10.0f;
    U(exp_mat).m[2][1] = 0.0f;
    U(exp_mat).m[3][1] = -0.598076f;
    U(exp_mat).m[0][2] = 0.0f;
    U(exp_mat).m[1][2] = 0.0f;
    U(exp_mat).m[2][2] = 1.0f;
    U(exp_mat).m[3][2] = 0.0f;
    U(exp_mat).m[0][3] = 0.0f;
    U(exp_mat).m[1][3] = 0.0f;
    U(exp_mat).m[2][3] = 0.0f;
    U(exp_mat).m[3][3] = 1.0f;

    D3DXMatrixAffineTransformation2D(&got_mat, scale, &center, angle, NULL);
    expect_matrix(&exp_mat, &got_mat, 8);

/*______________*/

    position.x = -6.0f;
    position.y = 7.0f;

    angle = D3DX_PI/3.0f;

    scale = 20.0f;

    U(exp_mat).m[0][0] = 10.0f;
    U(exp_mat).m[1][0] = -17.320507f;
    U(exp_mat).m[2][0] = 0.0f;
    U(exp_mat).m[3][0] = -6.0f;
    U(exp_mat).m[0][1] = 17.320507f;
    U(exp_mat).m[1][1] = 10.0f;
    U(exp_mat).m[2][1] = 0.0f;
    U(exp_mat).m[3][1] = 7.0f;
    U(exp_mat).m[0][2] = 0.0f;
    U(exp_mat).m[1][2] = 0.0f;
    U(exp_mat).m[2][2] = 1.0f;
    U(exp_mat).m[3][2] = 0.0f;
    U(exp_mat).m[0][3] = 0.0f;
    U(exp_mat).m[1][3] = 0.0f;
    U(exp_mat).m[2][3] = 0.0f;
    U(exp_mat).m[3][3] = 1.0f;

    D3DXMatrixAffineTransformation2D(&got_mat, scale, NULL, angle, &position);
    expect_matrix(&exp_mat, &got_mat, 1);

/*______________*/

    angle = 5.0f * D3DX_PI/4.0f;

    scale = -20.0f;

    U(exp_mat).m[0][0] = 14.142133f;
    U(exp_mat).m[1][0] = -14.142133f;
    U(exp_mat).m[2][0] = 0.0f;
    U(exp_mat).m[3][0] = 0.0f;
    U(exp_mat).m[0][1] = 14.142133;
    U(exp_mat).m[1][1] = 14.142133f;
    U(exp_mat).m[2][1] = 0.0f;
    U(exp_mat).m[3][1] = 0.0f;
    U(exp_mat).m[0][2] = 0.0f;
    U(exp_mat).m[1][2] = 0.0f;
    U(exp_mat).m[2][2] = 1.0f;
    U(exp_mat).m[3][2] = 0.0f;
    U(exp_mat).m[0][3] = 0.0f;
    U(exp_mat).m[1][3] = 0.0f;
    U(exp_mat).m[2][3] = 0.0f;
    U(exp_mat).m[3][3] = 1.0f;

    D3DXMatrixAffineTransformation2D(&got_mat, scale, NULL, angle, NULL);
    expect_matrix(&exp_mat, &got_mat, 8);
}

static void test_Matrix_Decompose(void)
{
    D3DXMATRIX pm;
    D3DXQUATERNION exp_rotation, got_rotation;
    D3DXVECTOR3 exp_scale, got_scale, exp_translation, got_translation;
    HRESULT hr;
    BOOL equal;

/*___________*/

    U(pm).m[0][0] = -9.23879206e-01f;
    U(pm).m[1][0] = -2.70598412e-01f;
    U(pm).m[2][0] =  2.70598441e-01f;
    U(pm).m[3][0] = -5.00000000e+00f;
    U(pm).m[0][1] =  2.70598471e-01f;
    U(pm).m[1][1] =  3.80604863e-02f;
    U(pm).m[2][1] =  9.61939573e-01f;
    U(pm).m[3][1] =  0.00000000e+00f;
    U(pm).m[0][2] = -2.70598441e-01f;
    U(pm).m[1][2] =  9.61939573e-01f;
    U(pm).m[2][2] =  3.80603075e-02f;
    U(pm).m[3][2] =  1.00000000e+01f;
    U(pm).m[0][3] =  0.00000000e+00f;
    U(pm).m[1][3] =  0.00000000e+00f;
    U(pm).m[2][3] =  0.00000000e+00f;
    U(pm).m[3][3] =  1.00000000e+00f;

    exp_scale.x = 9.99999881e-01f;
    exp_scale.y = 9.99999881e-01f;
    exp_scale.z = 9.99999881e-01f;

    exp_rotation.x = 2.14862776e-08f;
    exp_rotation.y = 6.93519890e-01f;
    exp_rotation.z = 6.93519890e-01f;
    exp_rotation.w = 1.95090637e-01f;

    exp_translation.x = -5.0f;
    exp_translation.y = 0.0f;
    exp_translation.z = 10.0f;

    D3DXMatrixDecompose(&got_scale, &got_rotation, &got_translation, &pm);
    expect_vec3(&exp_scale, &got_scale, 1);
    expect_quaternion(&exp_rotation, &got_rotation, 1);
    expect_vec3(&exp_translation, &got_translation, 0);

/*_________*/

    U(pm).m[0][0] = -2.255813f;
    U(pm).m[1][0] = 1.302324f;
    U(pm).m[2][0] = 1.488373f;
    U(pm).m[3][0] = 1.0f;
    U(pm).m[0][1] = 1.302327f;
    U(pm).m[1][1] = -0.7209296f;
    U(pm).m[2][1] = 2.60465f;
    U(pm).m[3][1] = 2.0f;
    U(pm).m[0][2] = 1.488371f;
    U(pm).m[1][2] = 2.604651f;
    U(pm).m[2][2] = -0.02325551f;
    U(pm).m[3][2] = 3.0f;
    U(pm).m[0][3] = 0.0f;
    U(pm).m[1][3] = 0.0f;
    U(pm).m[2][3] = 0.0f;
    U(pm).m[3][3] = 1.0f;

    exp_scale.x = 2.99999928e+00f;
    exp_scale.y = 2.99999905e+00f;
    exp_scale.z = 2.99999952e+00f;

    exp_rotation.x = 3.52180451e-01f;
    exp_rotation.y = 6.16315663e-01f;
    exp_rotation.z = 7.04360664e-01f;
    exp_rotation.w = 3.38489343e-07f;

    exp_translation.x = 1.0f;
    exp_translation.y = 2.0f;
    exp_translation.z = 3.0f;

    D3DXMatrixDecompose(&got_scale, &got_rotation, &got_translation, &pm);
    expect_vec3(&exp_scale, &got_scale, 0);
    expect_quaternion(&exp_rotation, &got_rotation, 2);
    expect_vec3(&exp_translation, &got_translation, 0);

/*_____________*/

    U(pm).m[0][0] = 2.427051f;
    U(pm).m[1][0] = 0.0f;
    U(pm).m[2][0] = 1.763355f;
    U(pm).m[3][0] = 5.0f;
    U(pm).m[0][1] = 0.0f;
    U(pm).m[1][1] = 3.0f;
    U(pm).m[2][1] = 0.0f;
    U(pm).m[3][1] = 5.0f;
    U(pm).m[0][2] = -1.763355f;
    U(pm).m[1][2] = 0.0f;
    U(pm).m[2][2] = 2.427051f;
    U(pm).m[3][2] = 5.0f;
    U(pm).m[0][3] = 0.0f;
    U(pm).m[1][3] = 0.0f;
    U(pm).m[2][3] = 0.0f;
    U(pm).m[3][3] = 1.0f;

    exp_scale.x = 2.99999976e+00f;
    exp_scale.y = 3.00000000e+00f;
    exp_scale.z = 2.99999976e+00f;

    exp_rotation.x = 0.00000000e+00f;
    exp_rotation.y = 3.09016883e-01f;
    exp_rotation.z = 0.00000000e+00f;
    exp_rotation.w = 9.51056540e-01f;

    exp_translation.x = 5.0f;
    exp_translation.y = 5.0f;
    exp_translation.z = 5.0f;

    D3DXMatrixDecompose(&got_scale, &got_rotation, &got_translation, &pm);
    expect_vec3(&exp_scale, &got_scale, 1);
    expect_quaternion(&exp_rotation, &got_rotation, 1);
    expect_vec3(&exp_translation, &got_translation, 0);

/*_____________*/

    U(pm).m[0][0] = -9.23879206e-01f;
    U(pm).m[1][0] = -2.70598412e-01f;
    U(pm).m[2][0] =  2.70598441e-01f;
    U(pm).m[3][0] = -5.00000000e+00f;
    U(pm).m[0][1] =  2.70598471e-01f;
    U(pm).m[1][1] =  3.80604863e-02f;
    U(pm).m[2][1] =  9.61939573e-01f;
    U(pm).m[3][1] =  0.00000000e+00f;
    U(pm).m[0][2] = -2.70598441e-01f;
    U(pm).m[1][2] =  9.61939573e-01f;
    U(pm).m[2][2] =  3.80603075e-02f;
    U(pm).m[3][2] =  1.00000000e+01f;
    U(pm).m[0][3] =  0.00000000e+00f;
    U(pm).m[1][3] =  0.00000000e+00f;
    U(pm).m[2][3] =  0.00000000e+00f;
    U(pm).m[3][3] =  1.00000000e+00f;

    exp_scale.x = 9.99999881e-01f;
    exp_scale.y = 9.99999881e-01f;
    exp_scale.z = 9.99999881e-01f;

    exp_rotation.x = 2.14862776e-08f;
    exp_rotation.y = 6.93519890e-01f;
    exp_rotation.z = 6.93519890e-01f;
    exp_rotation.w = 1.95090637e-01f;

    exp_translation.x = -5.0f;
    exp_translation.y = 0.0f;
    exp_translation.z = 10.0f;

    D3DXMatrixDecompose(&got_scale, &got_rotation, &got_translation, &pm);
    expect_vec3(&exp_scale, &got_scale, 1);
    expect_quaternion(&exp_rotation, &got_rotation, 1);
    expect_vec3(&exp_translation, &got_translation, 0);

/*__________*/

    U(pm).m[0][0] = -9.23878908e-01f;
    U(pm).m[1][0] = -5.41196704e-01f;
    U(pm).m[2][0] =  8.11795175e-01f;
    U(pm).m[3][0] = -5.00000000e+00f;
    U(pm).m[0][1] =  2.70598322e-01f;
    U(pm).m[1][1] =  7.61209577e-02f;
    U(pm).m[2][1] =  2.88581824e+00f;
    U(pm).m[3][1] =  0.00000000e+00f;
    U(pm).m[0][2] = -2.70598352e-01f;
    U(pm).m[1][2] =  1.92387879e+00f;
    U(pm).m[2][2] =  1.14180908e-01f;
    U(pm).m[3][2] =  1.00000000e+01f;
    U(pm).m[0][3] =  0.00000000e+00f;
    U(pm).m[1][3] =  0.00000000e+00f;
    U(pm).m[2][3] =  0.00000000e+00f;
    U(pm).m[3][3] =  1.00000000e+00f;

    exp_scale.x = 9.99999583e-01f;
    exp_scale.y = 1.99999940e+00f;
    exp_scale.z = 2.99999928e+00f;

    exp_rotation.x = 1.07431388e-08f;
    exp_rotation.y = 6.93519890e-01f;
    exp_rotation.z = 6.93519831e-01f;
    exp_rotation.w = 1.95090622e-01f;

    exp_translation.x = -5.0f;
    exp_translation.y = 0.0f;
    exp_translation.z = 10.0f;

    D3DXMatrixDecompose(&got_scale, &got_rotation, &got_translation, &pm);
    expect_vec3(&exp_scale, &got_scale, 1);
    equal = compare_quaternion(&exp_rotation, &got_rotation, 1);
    exp_rotation.x = 0.0f;
    equal |= compare_quaternion(&exp_rotation, &got_rotation, 2);
    ok(equal, "Got unexpected quaternion {%.8e, %.8e, %.8e, %.8e}.\n",
            got_rotation.x, got_rotation.y, got_rotation.z, got_rotation.w);
    expect_vec3(&exp_translation, &got_translation, 0);

/*__________*/

    U(pm).m[0][0] = 0.7156004f;
    U(pm).m[1][0] = -0.5098283f;
    U(pm).m[2][0] = -0.4774843f;
    U(pm).m[3][0] = -5.0f;
    U(pm).m[0][1] = -0.6612288f;
    U(pm).m[1][1] = -0.7147621f;
    U(pm).m[2][1] = -0.2277977f;
    U(pm).m[3][1] = 0.0f;
    U(pm).m[0][2] = -0.2251499f;
    U(pm).m[1][2] = 0.4787385f;
    U(pm).m[2][2] = -0.8485972f;
    U(pm).m[3][2] = 10.0f;
    U(pm).m[0][3] = 0.0f;
    U(pm).m[1][3] = 0.0f;
    U(pm).m[2][3] = 0.0f;
    U(pm).m[3][3] = 1.0f;

    exp_scale.x = 9.99999940e-01f;
    exp_scale.y = 1.00000012e+00f;
    exp_scale.z = 1.00000012e+00f;

    exp_rotation.x = 9.05394852e-01f;
    exp_rotation.y = -3.23355347e-01f;
    exp_rotation.z = -1.94013178e-01f;
    exp_rotation.w = 1.95090592e-01f;

    exp_translation.x = -5.0f;
    exp_translation.y = 0.0f;
    exp_translation.z = 10.0f;

    D3DXMatrixDecompose(&got_scale, &got_rotation, &got_translation, &pm);
    expect_vec3(&exp_scale, &got_scale, 0);
    expect_quaternion(&exp_rotation, &got_rotation, 1);
    expect_vec3(&exp_translation, &got_translation, 0);

/*_____________*/

    U(pm).m[0][0] = 0.06554436f;
    U(pm).m[1][0] = -0.6873012f;
    U(pm).m[2][0] = 0.7234092f;
    U(pm).m[3][0] = -5.0f;
    U(pm).m[0][1] = -0.9617381f;
    U(pm).m[1][1] = -0.2367795f;
    U(pm).m[2][1] = -0.1378230f;
    U(pm).m[3][1] = 0.0f;
    U(pm).m[0][2] = 0.2660144f;
    U(pm).m[1][2] = -0.6866967f;
    U(pm).m[2][2] = -0.6765233f;
    U(pm).m[3][2] = 10.0f;
    U(pm).m[0][3] = 0.0f;
    U(pm).m[1][3] = 0.0f;
    U(pm).m[2][3] = 0.0f;
    U(pm).m[3][3] = 1.0f;

    exp_scale.x = 9.99999940e-01f;
    exp_scale.y = 9.99999940e-01f;
    exp_scale.z = 9.99999881e-01f;

    exp_rotation.x = 7.03357518e-01f;
    exp_rotation.y = -5.86131275e-01f;
    exp_rotation.z = 3.51678789e-01f;
    exp_rotation.w = -1.95090577e-01f;

    exp_translation.x = -5.0f;
    exp_translation.y = 0.0f;
    exp_translation.z = 10.0f;

    D3DXMatrixDecompose(&got_scale, &got_rotation, &got_translation, &pm);
    expect_vec3(&exp_scale, &got_scale, 1);
    expect_quaternion(&exp_rotation, &got_rotation, 2);
    expect_vec3(&exp_translation, &got_translation, 0);

/*_________*/

    U(pm).m[0][0] =  7.12104797e+00f;
    U(pm).m[1][0] = -5.88348627e+00f;
    U(pm).m[2][0] =  1.18184204e+01f;
    U(pm).m[3][0] = -5.00000000e+00f;
    U(pm).m[0][1] =  5.88348627e+00f;
    U(pm).m[1][1] = -1.06065865e+01f;
    U(pm).m[2][1] = -8.82523251e+00f;
    U(pm).m[3][1] =  0.00000000e+00f;
    U(pm).m[0][2] =  1.18184204e+01f;
    U(pm).m[1][2] =  8.82523155e+00f;
    U(pm).m[2][2] = -2.72764111e+00f;
    U(pm).m[3][2] =  2.00000000e+00f;
    U(pm).m[0][3] =  0.00000000e+00f;
    U(pm).m[1][3] =  0.00000000e+00f;
    U(pm).m[2][3] =  0.00000000e+00f;
    U(pm).m[3][3] =  1.00000000e+00f;

    exp_scale.x = 1.49999933e+01f;
    exp_scale.y = 1.49999933e+01f;
    exp_scale.z = 1.49999943e+01f;

    exp_rotation.x = 7.68714130e-01f;
    exp_rotation.y = 0.00000000e+00f;
    exp_rotation.z = 5.12475967e-01f;
    exp_rotation.w = 3.82683903e-01f;

    exp_translation.x = -5.0f;
    exp_translation.y = 0.0f;
    exp_translation.z = 2.0f;

    D3DXMatrixDecompose(&got_scale, &got_rotation, &got_translation, &pm);
    expect_vec3(&exp_scale, &got_scale, 0);
    expect_quaternion(&exp_rotation, &got_rotation, 1);
    expect_vec3(&exp_translation, &got_translation, 0);

/*__________*/

    U(pm).m[0][0] = 0.0f;
    U(pm).m[1][0] = 4.0f;
    U(pm).m[2][0] = 5.0f;
    U(pm).m[3][0] = -5.0f;
    U(pm).m[0][1] = 0.0f;
    U(pm).m[1][1] = -10.60660f;
    U(pm).m[2][1] = -8.825232f;
    U(pm).m[3][1] = 6.0f;
    U(pm).m[0][2] = 0.0f;
    U(pm).m[1][2] = 8.8252320f;
    U(pm).m[2][2] = 2.727645;
    U(pm).m[3][2] = 3.0f;
    U(pm).m[0][3] = 0.0f;
    U(pm).m[1][3] = 0.0f;
    U(pm).m[2][3] = 0.0f;
    U(pm).m[3][3] = 1.0f;

    hr = D3DXMatrixDecompose(&got_scale, &got_rotation, &got_translation, &pm);
    ok(hr == D3DERR_INVALIDCALL, "Expected D3DERR_INVALIDCALL, got %x\n", hr);
}

static void test_Matrix_Transformation2D(void)
{
    D3DXMATRIX exp_mat, got_mat;
    D3DXVECTOR2 rot_center, sca, sca_center, trans;
    FLOAT rot, sca_rot;

    rot_center.x = 3.0f;
    rot_center.y = 4.0f;

    sca.x = 12.0f;
    sca.y = -3.0f;

    sca_center.x = 9.0f;
    sca_center.y = -5.0f;

    trans.x = -6.0f;
    trans.y = 7.0f;

    rot = D3DX_PI/3.0f;

    sca_rot = 5.0f*D3DX_PI/4.0f;

    U(exp_mat).m[0][0] = -4.245192f;
    U(exp_mat).m[1][0] = -0.147116f;
    U(exp_mat).m[2][0] = 0.0f;
    U(exp_mat).m[3][0] = 45.265373f;
    U(exp_mat).m[0][1] = 7.647113f;
    U(exp_mat).m[1][1] = 8.745192f;
    U(exp_mat).m[2][1] = 0.0f;
    U(exp_mat).m[3][1] = -13.401899f;
    U(exp_mat).m[0][2] = 0.0f;
    U(exp_mat).m[1][2] = 0.0f;
    U(exp_mat).m[2][2] = 1.0f;
    U(exp_mat).m[3][2] = 0.0f;
    U(exp_mat).m[0][3] = 0.0f;
    U(exp_mat).m[1][3] = 0.0f;
    U(exp_mat).m[2][3] = 0.0f;
    U(exp_mat).m[3][3] = 1.0f;

    D3DXMatrixTransformation2D(&got_mat, &sca_center, sca_rot, &sca, &rot_center, rot, &trans);
    expect_matrix(&exp_mat, &got_mat, 64);

/*_________*/

    sca_center.x = 9.0f;
    sca_center.y = -5.0f;

    trans.x = -6.0f;
    trans.y = 7.0f;

    rot = D3DX_PI/3.0f;

    sca_rot = 5.0f*D3DX_PI/4.0f;

    U(exp_mat).m[0][0] = 0.50f;
    U(exp_mat).m[1][0] = -0.866025f;
    U(exp_mat).m[2][0] = 0.0f;
    U(exp_mat).m[3][0] = -6.0f;
    U(exp_mat).m[0][1] = 0.866025f;
    U(exp_mat).m[1][1] = 0.50f;
    U(exp_mat).m[2][1] = 0.0f;
    U(exp_mat).m[3][1] = 7.0f;
    U(exp_mat).m[0][2] = 0.0f;
    U(exp_mat).m[1][2] = 0.0f;
    U(exp_mat).m[2][2] = 1.0f;
    U(exp_mat).m[3][2] = 0.0f;
    U(exp_mat).m[0][3] = 0.0f;
    U(exp_mat).m[1][3] = 0.0f;
    U(exp_mat).m[2][3] = 0.0f;
    U(exp_mat).m[3][3] = 1.0f;

    D3DXMatrixTransformation2D(&got_mat, &sca_center, sca_rot, NULL, NULL, rot, &trans);
    expect_matrix(&exp_mat, &got_mat, 8);

/*_________*/

    U(exp_mat).m[0][0] = 0.50f;
    U(exp_mat).m[1][0] = -0.866025f;
    U(exp_mat).m[2][0] = 0.0f;
    U(exp_mat).m[3][0] = 0.0f;
    U(exp_mat).m[0][1] = 0.866025f;
    U(exp_mat).m[1][1] = 0.50f;
    U(exp_mat).m[2][1] = 0.0f;
    U(exp_mat).m[3][1] = 0.0f;
    U(exp_mat).m[0][2] = 0.0f;
    U(exp_mat).m[1][2] = 0.0f;
    U(exp_mat).m[2][2] = 1.0f;
    U(exp_mat).m[3][2] = 0.0f;
    U(exp_mat).m[0][3] = 0.0f;
    U(exp_mat).m[1][3] = 0.0f;
    U(exp_mat).m[2][3] = 0.0f;
    U(exp_mat).m[3][3] = 1.0f;

    D3DXMatrixTransformation2D(&got_mat, NULL, sca_rot, NULL, NULL, rot, NULL);
    expect_matrix(&exp_mat, &got_mat, 8);
}

static void test_D3DXVec_Array(void)
{
    D3DXPLANE inp_plane[5], out_plane[7], exp_plane[7];
    D3DXVECTOR4 inp_vec[5], out_vec[7], exp_vec[7];
    D3DXMATRIX mat, projection, view, world;
    D3DVIEWPORT9 viewport;
    unsigned int i;

    viewport.Width = 800; viewport.MinZ = 0.2f; viewport.X = 10;
    viewport.Height = 680; viewport.MaxZ = 0.9f; viewport.Y = 5;

    memset(out_vec, 0, sizeof(out_vec));
    memset(exp_vec, 0, sizeof(exp_vec));
    memset(out_plane, 0, sizeof(out_plane));
    memset(exp_plane, 0, sizeof(exp_plane));

    for (i = 0; i < ARRAY_SIZE(inp_vec); ++i)
    {
        inp_plane[i].a = inp_plane[i].c = inp_vec[i].x = inp_vec[i].z = i;
        inp_plane[i].b = inp_plane[i].d = inp_vec[i].y = inp_vec[i].w = ARRAY_SIZE(inp_vec) - i;
    }

    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;
    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;
    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;
    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;

    D3DXMatrixPerspectiveFovLH(&projection,D3DX_PI/4.0f,20.0f/17.0f,1.0f,1000.0f);

    U(view).m[0][1] = 5.0f; U(view).m[0][2] = 7.0f; U(view).m[0][3] = 8.0f;
    U(view).m[1][0] = 11.0f; U(view).m[1][2] = 16.0f; U(view).m[1][3] = 33.0f;
    U(view).m[2][0] = 19.0f; U(view).m[2][1] = -21.0f; U(view).m[2][3] = 43.0f;
    U(view).m[3][0] = 2.0f; U(view).m[3][1] = 3.0f; U(view).m[3][2] = -4.0f;
    U(view).m[0][0] = 10.0f; U(view).m[1][1] = 20.0f; U(view).m[2][2] = 30.0f;
    U(view).m[3][3] = -40.0f;

    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;
    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;
    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;
    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;

    /* D3DXVec2TransformCoordArray */
    exp_vec[1].x = 6.78571403e-01f; exp_vec[1].y = 7.85714269e-01f;
    exp_vec[2].x = 6.53846204e-01f; exp_vec[2].y = 7.69230783e-01f;
    exp_vec[3].x = 6.25000000e-01f; exp_vec[3].y = 7.50000000e-01f;
    exp_vec[4].x = 5.90909123e-01f; exp_vec[4].y = 7.27272749e-01f;
    exp_vec[5].x = 5.49999952e-01f; exp_vec[5].y = 6.99999928e-01f;
    D3DXVec2TransformCoordArray((D3DXVECTOR2 *)&out_vec[1], sizeof(*out_vec),
            (D3DXVECTOR2 *)inp_vec, sizeof(*inp_vec), &mat, ARRAY_SIZE(inp_vec));
    expect_vec4_array(ARRAY_SIZE(exp_vec), exp_vec, out_vec, 1);

    /* D3DXVec2TransformNormalArray */
    exp_vec[1].x = 25.0f; exp_vec[1].y = 30.0f;
    exp_vec[2].x = 21.0f; exp_vec[2].y = 26.0f;
    exp_vec[3].x = 17.0f; exp_vec[3].y = 22.0f;
    exp_vec[4].x = 13.0f; exp_vec[4].y = 18.0f;
    exp_vec[5].x =  9.0f; exp_vec[5].y = 14.0f;
    D3DXVec2TransformNormalArray((D3DXVECTOR2 *)&out_vec[1], sizeof(*out_vec),
            (D3DXVECTOR2 *)inp_vec, sizeof(*inp_vec), &mat, ARRAY_SIZE(inp_vec));
    expect_vec4_array(ARRAY_SIZE(exp_vec), exp_vec, out_vec, 0);

    /* D3DXVec3TransformCoordArray */
    exp_vec[1].x = 6.78571403e-01f; exp_vec[1].y = 7.85714269e-01f; exp_vec[1].z = 8.92857075e-01f;
    exp_vec[2].x = 6.71874940e-01f; exp_vec[2].y = 7.81249940e-01f; exp_vec[2].z = 8.90624940e-01f;
    exp_vec[3].x = 6.66666627e-01f; exp_vec[3].y = 7.77777731e-01f; exp_vec[3].z = 8.88888836e-01f;
    exp_vec[4].x = 6.62499964e-01f; exp_vec[4].y = 7.74999976e-01f; exp_vec[4].z = 8.87499928e-01f;
    exp_vec[5].x = 6.59090877e-01f; exp_vec[5].y = 7.72727251e-01f; exp_vec[5].z = 8.86363566e-01f;
    D3DXVec3TransformCoordArray((D3DXVECTOR3 *)&out_vec[1], sizeof(*out_vec),
            (D3DXVECTOR3 *)inp_vec, sizeof(*inp_vec), &mat, ARRAY_SIZE(inp_vec));
    expect_vec4_array(ARRAY_SIZE(exp_vec), exp_vec, out_vec, 1);

    /* D3DXVec3TransformNormalArray */
    exp_vec[1].x = 25.0f; exp_vec[1].y = 30.0f; exp_vec[1].z = 35.0f;
    exp_vec[2].x = 30.0f; exp_vec[2].y = 36.0f; exp_vec[2].z = 42.0f;
    exp_vec[3].x = 35.0f; exp_vec[3].y = 42.0f; exp_vec[3].z = 49.0f;
    exp_vec[4].x = 40.0f; exp_vec[4].y = 48.0f; exp_vec[4].z = 56.0f;
    exp_vec[5].x = 45.0f; exp_vec[5].y = 54.0f; exp_vec[5].z = 63.0f;
    D3DXVec3TransformNormalArray((D3DXVECTOR3 *)&out_vec[1], sizeof(*out_vec),
            (D3DXVECTOR3 *)inp_vec, sizeof(*inp_vec), &mat, ARRAY_SIZE(inp_vec));
    expect_vec4_array(ARRAY_SIZE(exp_vec), exp_vec, out_vec, 0);

    /* D3DXVec3ProjectArray */
    exp_vec[1].x = 1.08955420e+03f; exp_vec[1].y = -2.26590622e+02f; exp_vec[1].z = 2.15272754e-01f;
    exp_vec[2].x = 1.06890344e+03f; exp_vec[2].y =  1.03085144e+02f; exp_vec[2].z = 1.83049560e-01f;
    exp_vec[3].x = 1.05177905e+03f; exp_vec[3].y =  3.76462280e+02f; exp_vec[3].z = 1.56329080e-01f;
    exp_vec[4].x = 1.03734888e+03f; exp_vec[4].y =  6.06827393e+02f; exp_vec[4].z = 1.33812696e-01f;
    exp_vec[5].x = 1.02502356e+03f; exp_vec[5].y =  8.03591248e+02f; exp_vec[5].z = 1.14580572e-01f;
    D3DXVec3ProjectArray((D3DXVECTOR3 *)&out_vec[1], sizeof(*out_vec), (D3DXVECTOR3 *)inp_vec,
            sizeof(*inp_vec), &viewport, &projection, &view, &world, ARRAY_SIZE(inp_vec));
    expect_vec4_array(ARRAY_SIZE(exp_vec), exp_vec, out_vec, 8);

    /* D3DXVec3UnprojectArray */
    exp_vec[1].x = -6.12403107e+00f; exp_vec[1].y = 3.22536016e+00f; exp_vec[1].z = 6.20571136e-01f;
    exp_vec[2].x = -3.80710936e+00f; exp_vec[2].y = 2.04657936e+00f; exp_vec[2].z = 4.46894377e-01f;
    exp_vec[3].x = -2.92283988e+00f; exp_vec[3].y = 1.59668946e+00f; exp_vec[3].z = 3.80609393e-01f;
    exp_vec[4].x = -2.45622563e+00f; exp_vec[4].y = 1.35928988e+00f; exp_vec[4].z = 3.45631927e-01f;
    exp_vec[5].x = -2.16789746e+00f; exp_vec[5].y = 1.21259713e+00f; exp_vec[5].z = 3.24018806e-01f;
    D3DXVec3UnprojectArray((D3DXVECTOR3 *)&out_vec[1], sizeof(*out_vec), (D3DXVECTOR3 *)inp_vec,
            sizeof(*inp_vec), &viewport, &projection, &view, &world, ARRAY_SIZE(inp_vec));
    expect_vec4_array(ARRAY_SIZE(exp_vec), exp_vec, out_vec, 4);

    /* D3DXVec2TransformArray */
    exp_vec[1].x = 38.0f; exp_vec[1].y = 44.0f; exp_vec[1].z = 50.0f; exp_vec[1].w = 56.0f;
    exp_vec[2].x = 34.0f; exp_vec[2].y = 40.0f; exp_vec[2].z = 46.0f; exp_vec[2].w = 52.0f;
    exp_vec[3].x = 30.0f; exp_vec[3].y = 36.0f; exp_vec[3].z = 42.0f; exp_vec[3].w = 48.0f;
    exp_vec[4].x = 26.0f; exp_vec[4].y = 32.0f; exp_vec[4].z = 38.0f; exp_vec[4].w = 44.0f;
    exp_vec[5].x = 22.0f; exp_vec[5].y = 28.0f; exp_vec[5].z = 34.0f; exp_vec[5].w = 40.0f;
    D3DXVec2TransformArray(&out_vec[1], sizeof(*out_vec), (D3DXVECTOR2 *)inp_vec,
            sizeof(*inp_vec), &mat, ARRAY_SIZE(inp_vec));
    expect_vec4_array(ARRAY_SIZE(exp_vec), exp_vec, out_vec, 0);

    /* D3DXVec3TransformArray */
    exp_vec[1].x = 38.0f; exp_vec[1].y = 44.0f; exp_vec[1].z = 50.0f; exp_vec[1].w = 56.0f;
    exp_vec[2].x = 43.0f; exp_vec[2].y = 50.0f; exp_vec[2].z = 57.0f; exp_vec[2].w = 64.0f;
    exp_vec[3].x = 48.0f; exp_vec[3].y = 56.0f; exp_vec[3].z = 64.0f; exp_vec[3].w = 72.0f;
    exp_vec[4].x = 53.0f; exp_vec[4].y = 62.0f; exp_vec[4].z = 71.0f; exp_vec[4].w = 80.0f;
    exp_vec[5].x = 58.0f; exp_vec[5].y = 68.0f; exp_vec[5].z = 78.0f; exp_vec[5].w = 88.0f;
    D3DXVec3TransformArray(&out_vec[1], sizeof(*out_vec), (D3DXVECTOR3 *)inp_vec,
            sizeof(*inp_vec), &mat, ARRAY_SIZE(inp_vec));
    expect_vec4_array(ARRAY_SIZE(exp_vec), exp_vec, out_vec, 0);

    /* D3DXVec4TransformArray */
    exp_vec[1].x = 90.0f; exp_vec[1].y = 100.0f; exp_vec[1].z = 110.0f; exp_vec[1].w = 120.0f;
    exp_vec[2].x = 82.0f; exp_vec[2].y = 92.0f;  exp_vec[2].z = 102.0f; exp_vec[2].w = 112.0f;
    exp_vec[3].x = 74.0f; exp_vec[3].y = 84.0f;  exp_vec[3].z = 94.0f;  exp_vec[3].w = 104.0f;
    exp_vec[4].x = 66.0f; exp_vec[4].y = 76.0f;  exp_vec[4].z = 86.0f;  exp_vec[4].w = 96.0f;
    exp_vec[5].x = 58.0f; exp_vec[5].y = 68.0f;  exp_vec[5].z = 78.0f;  exp_vec[5].w = 88.0f;
    D3DXVec4TransformArray(&out_vec[1], sizeof(*out_vec), inp_vec, sizeof(*inp_vec), &mat, ARRAY_SIZE(inp_vec));
    expect_vec4_array(ARRAY_SIZE(exp_vec), exp_vec, out_vec, 0);

    /* D3DXPlaneTransformArray */
    exp_plane[1].a = 90.0f; exp_plane[1].b = 100.0f; exp_plane[1].c = 110.0f; exp_plane[1].d = 120.0f;
    exp_plane[2].a = 82.0f; exp_plane[2].b = 92.0f;  exp_plane[2].c = 102.0f; exp_plane[2].d = 112.0f;
    exp_plane[3].a = 74.0f; exp_plane[3].b = 84.0f;  exp_plane[3].c = 94.0f;  exp_plane[3].d = 104.0f;
    exp_plane[4].a = 66.0f; exp_plane[4].b = 76.0f;  exp_plane[4].c = 86.0f;  exp_plane[4].d = 96.0f;
    exp_plane[5].a = 58.0f; exp_plane[5].b = 68.0f;  exp_plane[5].c = 78.0f;  exp_plane[5].d = 88.0f;
    D3DXPlaneTransformArray(&out_plane[1], sizeof(*out_plane), inp_plane,
            sizeof(*inp_plane), &mat, ARRAY_SIZE(inp_plane));
    for (i = 0; i < ARRAY_SIZE(exp_plane); ++i)
    {
        BOOL equal = compare_plane(&exp_plane[i], &out_plane[i], 0);
        ok(equal, "Got unexpected plane {%.8e, %.8e, %.8e, %.8e} at index %u, expected {%.8e, %.8e, %.8e, %.8e}.\n",
                out_plane[i].a, out_plane[i].b, out_plane[i].c, out_plane[i].d, i,
                exp_plane[i].a, exp_plane[i].b, exp_plane[i].c, exp_plane[i].d);
        if (!equal)
            break;
    }
}

static void test_D3DXFloat_Array(void)
{
    unsigned int i;
    void *out = NULL;
    D3DXFLOAT16 half;
    BOOL equal;

    /* Input floats through bit patterns because compilers do not generate reliable INF and NaN values. */
    union convert
    {
        DWORD d;
        float f;
    } single;

    struct
    {
        union convert single_in;

        /* half_ver2 occurs on WXPPROSP3 (32 bit math), WVISTAADM (32/64 bit math), W7PRO (32 bit math) */
        WORD half_ver1, half_ver2;

        /* single_out_ver2 confirms that half -> single conversion is consistent across platforms */
        union convert single_out_ver1, single_out_ver2;
    }
    testdata[] =
    {
        { { 0x479c4000 }, 0x7c00, 0x7ce2, { 0x47800000 }, { 0x479c4000 } }, /* 80000.0f */
        { { 0x477fdf00 }, 0x7bff, 0x7bff, { 0x477fe000 }, { 0x477fe000 } }, /* 65503.0f */
        { { 0x477fe000 }, 0x7bff, 0x7bff, { 0x477fe000 }, { 0x477fe000 } }, /* 65504.0f */
        { { 0x477ff000 }, 0x7bff, 0x7c00, { 0x477fe000 }, { 0x47800000 } }, /* 65520.0f */
        { { 0x477ff100 }, 0x7c00, 0x7c00, { 0x47800000 }, { 0x47800000 } }, /* 65521.0f */

        { { 0x477ffe00 }, 0x7c00, 0x7c00, { 0x47800000 }, { 0x47800000 } }, /* 65534.0f */
        { { 0x477fff00 }, 0x7c00, 0x7c00, { 0x47800000 }, { 0x47800000 } }, /* 65535.0f */
        { { 0x47800000 }, 0x7c00, 0x7c00, { 0x47800000 }, { 0x47800000 } }, /* 65536.0f */
        { { 0xc79c4000 }, 0xfc00, 0xfce2, { 0xc7800000 }, { 0xc79c4000 } }, /* -80000.0f */
        { { 0xc77fdf00 }, 0xfbff, 0xfbff, { 0xc77fe000 }, { 0xc77fe000 } }, /* -65503.0f */

        { { 0xc77fe000 }, 0xfbff, 0xfbff, { 0xc77fe000 }, { 0xc77fe000 } }, /* -65504.0f */
        { { 0xc77ff000 }, 0xfbff, 0xfc00, { 0xc77fe000 }, { 0xc7800000 } }, /* -65520.0f */
        { { 0xc77ff100 }, 0xfc00, 0xfc00, { 0xc7800000 }, { 0xc7800000 } }, /* -65521.0f */
        { { 0xc77ffe00 }, 0xfc00, 0xfc00, { 0xc7800000 }, { 0xc7800000 } }, /* -65534.0f */
        { { 0xc77fff00 }, 0xfc00, 0xfc00, { 0xc7800000 }, { 0xc7800000 } }, /* -65535.0f */

        { { 0xc7800000 }, 0xfc00, 0xfc00, { 0xc7800000 }, { 0xc7800000 } }, /* -65536.0f */
        { { 0x7f800000 }, 0x7c00, 0x7fff, { 0x47800000 }, { 0x47ffe000 } }, /* INF */
        { { 0xff800000 }, 0xffff, 0xffff, { 0xc7ffe000 }, { 0xc7ffe000 } }, /* -INF */
        { { 0x7fc00000 }, 0x7fff, 0xffff, { 0x47ffe000 }, { 0xc7ffe000 } }, /* NaN */
        { { 0xffc00000 }, 0xffff, 0xffff, { 0xc7ffe000 }, { 0xc7ffe000 } }, /* -NaN */

        { { 0x00000000 }, 0x0000, 0x0000, { 0x00000000 }, { 0x00000000 } }, /* 0.0f */
        { { 0x80000000 }, 0x8000, 0x8000, { 0x80000000 }, { 0x80000000 } }, /* -0.0f */
        { { 0x330007ff }, 0x0000, 0x0000, { 0x00000000 }, { 0x00000000 } }, /* 2.9809595e-08f */
        { { 0xb30007ff }, 0x8000, 0x8000, { 0x80000000 }, { 0x80000000 } }, /* -2.9809595e-08f */
        { { 0x33000800 }, 0x0001, 0x0000, { 0x33800000 }, { 0x00000000 } }, /* 2.9809598e-08f */

        { { 0xb3000800 }, 0x8001, 0x8000, { 0xb3800000 }, { 0x80000000 } }, /* -2.9809598e-08f */
        { { 0x33c00000 }, 0x0002, 0x0001, { 0x34000000 }, { 0x33800000 } }, /* 8.9406967e-08f */
    };

    /* exception on NULL out or in parameter */
    out = D3DXFloat32To16Array(&half, &single.f, 0);
    ok(out == &half, "Got %p, expected %p.\n", out, &half);

    out = D3DXFloat16To32Array(&single.f, &half, 0);
    ok(out == &single.f, "Got %p, expected %p.\n", out, &single.f);

    for (i = 0; i < ARRAY_SIZE(testdata); ++i)
    {
        out = D3DXFloat32To16Array(&half, &testdata[i].single_in.f, 1);
        ok(out == &half, "Got %p, expected %p.\n", out, &half);
        ok(half.value == testdata[i].half_ver1 || half.value == testdata[i].half_ver2,
           "Got %x, expected %x or %x for index %d.\n", half.value, testdata[i].half_ver1,
           testdata[i].half_ver2, i);

        out = D3DXFloat16To32Array(&single.f, (D3DXFLOAT16 *)&testdata[i].half_ver1, 1);
        ok(out == &single.f, "Got %p, expected %p.\n", out, &single.f);
        equal = compare_float(single.f, testdata[i].single_out_ver1.f, 0);
        ok(equal, "Got %#x, expected %#x at index %u.\n", single.d, testdata[i].single_out_ver1.d, i);

        out = D3DXFloat16To32Array(&single.f, (D3DXFLOAT16 *)&testdata[i].half_ver2, 1);
        ok(out == &single.f, "Got %p, expected %p.\n", out, &single.f);
        equal = compare_float(single.f, testdata[i].single_out_ver2.f, 0);
        ok(equal, "Got %#x, expected %#x at index %u.\n", single.d, testdata[i].single_out_ver2.d, i);
    }
}

static void test_D3DXSHAdd(void)
{
    float out[50] = {0.0f};
    unsigned int i, k;
    float *ret;
    BOOL equal;

    static const float in1[50] =
    {
        1.11f, 1.12f, 1.13f, 1.14f, 1.15f, 1.16f, 1.17f, 1.18f,
        1.19f, 1.20f, 1.21f, 1.22f, 1.23f, 1.24f, 1.25f, 1.26f,
        1.27f, 1.28f, 1.29f, 1.30f, 1.31f, 1.32f, 1.33f, 1.34f,
        1.35f, 1.36f, 1.37f, 1.38f, 1.39f, 1.40f, 1.41f, 1.42f,
        1.43f, 1.44f, 1.45f, 1.46f, 1.47f, 1.48f, 1.49f, 1.50f,
        1.51f, 1.52f, 1.53f, 1.54f, 1.55f, 1.56f, 1.57f, 1.58f,
        1.59f, 1.60f,
    };
    static const float in2[50] =
    {
        2.11f, 2.12f, 2.13f, 2.14f, 2.15f, 2.16f, 2.17f, 2.18f,
        2.19f, 2.20f, 2.21f, 2.22f, 2.23f, 2.24f, 2.25f, 2.26f,
        2.27f, 2.28f, 2.29f, 2.30f, 2.31f, 2.32f, 2.33f, 2.34f,
        2.35f, 2.36f, 2.37f, 2.38f, 2.39f, 2.40f, 2.41f, 2.42f,
        2.43f, 2.44f, 2.45f, 2.46f, 2.47f, 2.48f, 2.49f, 2.50f,
        2.51f, 2.52f, 2.53f, 2.54f, 2.55f, 2.56f, 2.57f, 2.58f,
        2.59f, 2.60f,
    };

    /*
     * Order is not limited by D3DXSH_MINORDER and D3DXSH_MAXORDER!
     * All values will work, test from 0-7 [D3DXSH_MINORDER = 2, D3DXSH_MAXORDER = 6]
     * Exceptions will show up when out, in1 or in2 is NULL
     */
    for (k = 0; k <= D3DXSH_MAXORDER + 1; k++)
    {
        UINT count = k * k;

        ret = D3DXSHAdd(&out[0], k, &in1[0], &in2[0]);
        ok(ret == out, "%u: D3DXSHAdd() failed, got %p, expected %p\n", k, out, ret);

        for (i = 0; i < count; ++i)
        {
            equal = compare_float(in1[i] + in2[i], out[i], 0);
            ok(equal, "%u-%u: Got %.8e, expected %.8e.\n", k, i, out[i], in1[i] + in2[i]);
        }
        equal = compare_float(out[count], 0.0f, 0);
        ok(equal, "%u-%u: Got %.8e, expected 0.0.\n", k, k * k, out[count]);
    }
}

static void test_D3DXSHDot(void)
{
    float a[49], b[49], got;
    unsigned int i;
    BOOL equal;

    static const float expected[] = {0.5f, 0.5f, 25.0f, 262.5f, 1428.0f, 5362.5f, 15873.0f, 39812.5f};

    for (i = 0; i < ARRAY_SIZE(a); ++i)
    {
        a[i] = i + 1.0f;
        b[i] = i + 0.5f;
    }

    /* D3DXSHDot computes by using order * order elements */
    for (i = 0; i <= D3DXSH_MAXORDER + 1; i++)
    {
        got = D3DXSHDot(i, a, b);
        equal = compare_float(got, expected[i], 0);
        ok(equal, "order %u: Got %.8e, expected %.8e.\n", i, got, expected[i]);
    }
}

static void test_D3DXSHEvalConeLight(void)
{
    float bout[49], expected, gout[49], rout[49];
    unsigned int j, l, order;
    D3DXVECTOR3 dir;
    HRESULT hr;
    BOOL equal;

    static const float table[] =
    {
    /* Red colour */
        1.604815f, -3.131381f, 7.202175f, -2.870432f, 6.759296f, -16.959688f,
        32.303082f, -15.546381f, -0.588878f, -5.902123f, 40.084042f, -77.423569f,
        137.556320f, -70.971603f, -3.492171f, 7.683092f, -2.129311f, -35.971344f,
        183.086548f, -312.414948f, 535.091064f, -286.380371f, -15.950727f, 46.825714f,
        -12.127637f, 11.289261f, -12.417809f, -155.039566f, 681.182556f, -1079.733643f,
        1807.650513f, -989.755798f, -59.345467f, 201.822815f, -70.726486f, 7.206529f,

        3.101155f, -3.128710f, 7.196033f, -2.867984f, -0.224708f, 0.563814f,
        -1.073895f, 0.516829f, 0.019577f, 2.059788f, -13.988971f, 27.020128f,
        -48.005917f, 24.768450f, 1.218736f, -2.681329f, -0.088639f, -1.497410f,
        7.621501f, -13.005165f, 22.274696f, -11.921401f, -0.663995f, 1.949254f,
        -0.504848f, 4.168484f, -4.585193f, -57.247314f, 251.522095f, -398.684387f,
        667.462891f, -365.460693f, -21.912912f, 74.521721f, -26.115280f, 2.660963f,
    /* Green colour */
        2.454422f, -4.789170f, 11.015091f, -4.390072f, 10.337747f, -25.938347f,
        49.404713f, -23.776817f, -0.900637f, -9.026776f, 61.305000f, -118.412514f,
        210.380249f, -108.544792f, -5.340967f, 11.750610f, -3.256593f, -55.014996f,
        280.014709f, -477.811066f, 818.374512f, -437.993469f, -24.395227f, 71.615799f,
        -18.548151f, 17.265928f, -18.991943f, -237.119324f, 1041.808594f, -1651.357300f,
        2764.642090f, -1513.744141f, -90.763657f, 308.670197f, -108.169922f, 11.021750f,

        4.742942f, -4.785086f, 11.005697f, -4.386329f, -0.343672f, 0.862303f,
        -1.642427f, 0.790444f, 0.029941f, 3.150264f, -21.394896f, 41.324898f,
        -73.420807f, 37.881153f, 1.863950f, -4.100857f, -0.135565f, -2.290156f,
        11.656413f, -19.890251f, 34.067181f, -18.232729f, -1.015521f, 2.981212f,
        -0.772120f, 6.375328f, -7.012648f, -87.554710f, 384.680817f, -609.752563f,
        1020.825500f, -558.939819f, -33.513863f, 113.974388f, -39.941013f, 4.069707f,
    /* Blue colour */
        3.304030f, -6.446959f, 14.828006f, -5.909713f, 13.916198f, -34.917004f,
        66.506340f, -32.007256f, -1.212396f, -12.151429f, 82.525963f, -159.401459f,
        283.204193f, -146.117996f, -7.189764f, 15.818130f, -4.383876f, -74.058655f,
        376.942871f, -643.207214f, 1101.658081f, -589.606628f, -32.839729f, 96.405884f,
        -24.968664f, 23.242596f, -25.566080f, -319.199097f, 1402.434692f, -2222.980957f,
        3721.633545f, -2037.732544f, -122.181847f, 415.517578f, -145.613358f, 14.836972f,

        6.384730f, -6.441462f, 14.815362f, -5.904673f, -0.462635f, 1.160793f,
        -2.210959f, 1.064060f, 0.040305f, 4.240739f, -28.800821f, 55.629673f,
        -98.835709f, 50.993862f, 2.509163f, -5.520384f, -0.182491f, -3.082903f,
        15.691326f, -26.775339f, 45.859665f, -24.544060f, -1.367048f, 4.013170f,
        -1.039392f, 8.582172f, -9.440103f, -117.862114f, 517.839600f, -820.820740f,
        1374.188232f, -752.419067f, -45.114819f, 153.427063f, -53.766754f, 5.478452f, };
    const struct
    {
        float *red_received, *green_received, *blue_received;
        const float *red_expected, *green_expected, *blue_expected;
        float radius, roffset, goffset, boffset;
    }
    test[] =
    {
        { rout, gout, bout, table, &table[72], &table[144], 0.5f, 1.01f, 1.02f, 1.03f, },
        { rout, gout, bout, &table[36], &table[108], &table[180], 1.6f, 1.01f, 1.02f, 1.03f, },
        { rout, rout, rout, &table[144], &table[144], &table[144], 0.5f, 1.03f, 1.03f, 1.03f, },
        { rout, rout, bout, &table[72], &table[72], &table[144], 0.5, 1.02f, 1.02f, 1.03f, },
        { rout, gout, gout, table, &table[144], &table[144], 0.5f, 1.01f, 1.03f, 1.03f, },
        { rout, gout, rout, &table[144], &table[72], &table[144], 0.5f, 1.03f, 1.02f, 1.03f, },
    /* D3DXSHEvalConeLight accepts NULL green or blue colour. */
        { rout, NULL, bout, table, NULL, &table[144], 0.5f, 1.01f, 0.0f, 1.03f, },
        { rout, gout, NULL, table, &table[72], NULL, 0.5f, 1.01f, 1.02f, 0.0f, },
        { rout, NULL, NULL, table, NULL, NULL, 0.5f, 1.01f, 0.0f, 0.0f, },
    };

    dir.x = 1.1f; dir.y = 1.2f; dir.z = 2.76f;

    for (l = 0; l < ARRAY_SIZE(test); ++l)
    {
        for (order = D3DXSH_MINORDER; order <= D3DXSH_MAXORDER; order++)
        {
            for (j = 0; j < 49; j++)
            {
                test[l].red_received[j] = 1.01f + j;
                if (test[l].green_received)
                    test[l].green_received[j] = 1.02f + j;
                if (test[l].blue_received)
                    test[l].blue_received[j] = 1.03f + j;
            }

            hr = D3DXSHEvalConeLight(order, &dir, test[l].radius, 1.7f, 2.6f, 3.5f, test[l].red_received, test[l].green_received, test[l].blue_received);
            ok(hr == D3D_OK, "Expected %#x, got %#x\n", D3D_OK, hr);

            for (j = 0; j < 49; j++)
            {
                if (j >= order * order)
                    expected = j + test[l].roffset;
                else
                    expected = test[l].red_expected[j];
                equal = compare_float(test[l].red_received[j], expected, 128);
                ok(equal, "Red: case %u, order %u: expected[%u] = %.8e, received %.8e.\n",
                        l, order, j, expected, test[l].red_received[j]);

                if (test[l].green_received)
                {
                    if (j >= order * order)
                        expected = j + test[l].goffset;
                    else
                        expected = test[l].green_expected[j];
                    equal = compare_float(test[l].green_received[j], expected, 64);
                    ok(equal, "Green: case %u, order %u: expected[%u] = %.8e, received %.8e.\n",
                            l, order, j, expected, test[l].green_received[j]);
                }

                if (test[l].blue_received)
                {
                    if (j >= order * order)
                        expected = j + test[l].boffset;
                    else
                        expected = test[l].blue_expected[j];
                    equal = compare_float(test[l].blue_received[j], expected, 128);
                    ok(equal, "Blue: case %u, order %u: expected[%u] = %.8e, received %.8e.\n",
                            l, order, j, expected, test[l].blue_received[j]);
                }
            }
        }
    }

    /* Cone light with radius <= 0.0f behaves as a directional light */
    for (order = D3DXSH_MINORDER; order <= D3DXSH_MAXORDER; order++)
    {
        FLOAT blue[49], green[49], red[49];

        for (j = 0; j < 49; j++)
        {
            rout[j] = 1.01f + j;
            gout[j] = 1.02f + j;
            bout[j] = 1.03f + j;
            red[j] = 1.01f + j;
            green[j] = 1.02f + j;
            blue[j] = 1.03f + j;
        }

        hr = D3DXSHEvalConeLight(order, &dir, -0.1f, 1.7f, 2.6f, 3.5f, rout, gout, bout);
        ok(hr == D3D_OK, "Expected %#x, got %#x\n", D3D_OK, hr);
        D3DXSHEvalDirectionalLight(order, &dir, 1.7f, 2.6f, 3.5f, red, green, blue);

        for (j = 0; j < 49; j++)
        {
            equal = compare_float(red[j], rout[j], 0);
            ok(equal, "Red: case %u, order %u: expected[%u] = %.8e, received %.8e.\n",
                    l, order, j, red[j], rout[j]);

            equal = compare_float(green[j], gout[j], 0);
            ok(equal, "Green: case %u, order %u: expected[%u] = %.8e, received %.8e.\n",
                    l, order, j, green[j], gout[j]);

            equal = compare_float(blue[j], bout[j], 0);
            ok(equal, "Blue: case %u, order %u: expected[%u] = %.8e, received %.8e.\n",
                    l, order, j, blue[j], bout[j]);
        }
    }

    /* D3DXSHEvalConeLight accepts order < D3DXSH_MINORDER or order > D3DXSH_MAXORDER. But tests in native windows show that the colour outputs are not set */
    hr = D3DXSHEvalConeLight(7, &dir, 0.5f, 1.0f, 2.0f, 3.0f, rout, gout, bout);
    ok(hr == D3D_OK, "Expected %#x, got %#x\n", D3D_OK, hr);
    hr = D3DXSHEvalConeLight(0, &dir, 0.5f, 1.0f, 2.0f, 3.0f, rout, gout, bout);
    ok(hr == D3D_OK, "Expected %#x, got %#x\n", D3D_OK, hr);
    hr = D3DXSHEvalConeLight(1, &dir, 0.5f, 1.0f, 2.0f, 3.0f, rout, gout, bout);
    ok(hr == D3D_OK, "Expected %#x, got %#x\n", D3D_OK, hr);
}

static void test_D3DXSHEvalDirection(void)
{
    float a[49], expected, *received_ptr;
    unsigned int i, order;
    D3DXVECTOR3 d;
    BOOL equal;

    static const float table[36] =
    {
         2.82094806e-01f, -9.77205038e-01f,  1.46580756e+00f, -4.88602519e-01f,  2.18509698e+00f, -6.55529118e+00f,
         8.20018101e+00f, -3.27764559e-00f, -1.63882279e+00f,  1.18008721e+00f,  1.73436680e+01f, -4.02200317e+01f,
         4.70202179e+01f, -2.01100159e+01f, -1.30077515e+01f,  6.49047947e+00f, -1.50200577e+01f,  1.06207848e+01f,
         1.17325661e+02f, -2.40856750e+02f,  2.71657288e+02f, -1.20428375e+02f, -8.79942474e+01f,  5.84143143e+01f,
        -4.38084984e+00f,  2.49425201e+01f, -1.49447693e+02f,  7.82781296e+01f,  7.47791748e+02f, -1.42768787e+03f,
         1.57461914e+03f, -7.13843933e+02f, -5.60843811e+02f,  4.30529724e+02f, -4.35889091e+01f, -2.69116650e+01f,
    };

    d.x = 1.0; d.y = 2.0f; d.z = 3.0f;

    for (order = 0; order <= D3DXSH_MAXORDER + 1; order++)
    {
        for (i = 0; i < ARRAY_SIZE(a); ++i)
            a[i] = 1.5f + i;

        received_ptr = D3DXSHEvalDirection(a, order, &d);
        ok(received_ptr == a, "Expected %p, received %p\n", a, received_ptr);

        for (i = 0; i < ARRAY_SIZE(a); ++i)
        {
            /* if the order is < D3DXSH_MINORDER or order > D3DXSH_MAXORDER or
             * the index of the element is greater than order * order - 1,
             * D3DXSHEvalDirection() does not modify the output. */
            if ((order < D3DXSH_MINORDER) || (order > D3DXSH_MAXORDER) || (i >= order * order))
                expected = 1.5f + i;
            else
                expected = table[i];

            equal = compare_float(a[i], expected, 2);
            ok(equal, "order %u, index %u: Got unexpected result %.8e, expected %.8e.\n",
                    order, i, a[i], expected);
        }
    }
}

static void test_D3DXSHEvalDirectionalLight(void)
{
    float *blue_out, bout[49], expected, gout[49], *green_out, *red_out, rout[49];
    unsigned int j, l, order, startindex;
    D3DXVECTOR3 dir;
    HRESULT hr;
    BOOL equal;

    static const float table[] =
    {
    /* Red colour */
      2.008781f, -4.175174f, 9.602900f, -3.827243f, 1.417963f, -2.947181f,
      6.778517f, -2.701583f, 7.249108f, -18.188671f, 34.643921f, -16.672949f,
      -0.631551f, 1.417963f, -2.947181f, 6.778517f, -2.701583f, 7.249108f,
      -18.188671f, 34.643921f, -16.672949f, -0.631551f, -7.794341f, 52.934967f,
      -102.245529f, 181.656815f, -93.725060f, -4.611760f, 10.146287f, 1.555186f,
      -3.232392f, 7.434503f, -2.963026f, 7.950634f, -19.948866f, 37.996559f,
      -18.286459f, -0.692669f, -8.548632f, 58.057705f, -112.140251f, 199.236496f,
      -102.795227f, -5.058059f, 11.128186f, -4.189955f, -70.782669f, 360.268829f,
      -614.755005f, 1052.926270f, -563.525391f, -31.387066f, 92.141365f, -23.864176f,
      1.555186f, -3.232392f, 7.434503f, -2.963026f, 7.950634f, -19.948866f,
      37.996559f, -18.286459f, -0.692669f, -8.548632f, 58.057705f, -112.140251f,
      199.236496f, -102.795227f, -5.058059f, 11.128186f, -4.189955f, -70.782669f,
      360.268829f, -614.755005f, 1052.926270f, -563.525391f, -31.387066f, 92.141365f,
      -23.864176f, 34.868664f, -38.354366f, -478.864166f, 2103.939941f, -3334.927734f,
      5583.213867f, -3057.017090f, -183.297836f, 623.361633f, -218.449921f, 22.258503f,
    /* Green colour */
      3.072254f, -6.385560f, 14.686787f, -5.853429f, 2.168650f, -4.507453f,
      10.367143f, -4.131832f, 11.086870f, -27.817965f, 52.984818f, -25.499800f,
      -0.965902f, 2.168650f, -4.507453f, 10.367143f, -4.131832f, 11.086870f,
      -27.817965f, 52.984818f, -25.499800f, -0.965902f, -11.920755f, 80.959351f,
      -156.375488f, 277.828033f, -143.344193f, -7.053278f, 15.517849f, 2.378519f,
      -4.943659f, 11.370415f, -4.531687f, 12.159794f, -30.510029f, 58.112385f,
      -27.967525f, -1.059376f, -13.074378f, 88.794136f, -171.508621f, 304.714630f,
      -157.216217f, -7.735855f, 17.019577f, -6.408166f, -108.255844f, 550.999390f,
      -940.213501f, 1610.357788f, -861.862305f, -48.003746f, 140.922089f, -36.498150f,
      2.378519f, -4.943659f, 11.370415f, -4.531687f, 12.159794f, -30.510029f,
      58.112385f, -27.967525f, -1.059376f, -13.074378f, 88.794136f, -171.508621f,
      304.714630f, -157.216217f, -7.735855f, 17.019577f, -6.408166f, -108.255844f,
      550.999390f, -940.213501f, 1610.357788f, -861.862305f, -48.003746f, 140.922089f,
      -36.498150f, 53.328545f, -58.659618f, -732.380493f, 3217.790283f, -5100.477539f,
      8539.033203f, -4675.437500f, -280.337860f, 953.376587f, -334.099884f, 34.042416f,
    /* Blue colour */
      4.135726f, -8.595945f, 19.770674f, -7.879617f, 2.919336f, -6.067726f,
      13.955770f, -5.562082f, 14.924634f, -37.447262f, 71.325722f, -34.326656f,
      -1.300252f, 2.919336f, -6.067726f, 13.955770f, -5.562082f, 14.924634f,
      -37.447262f, 71.325722f, -34.326656f, -1.300252f, -16.047173f, 108.983749f,
      -210.505493f, 373.999298f, -192.963348f, -9.494799f, 20.889414f, 3.201853f,
      -6.654925f, 15.306328f, -6.100348f, 16.368954f, -41.071194f, 78.228210f,
      -37.648590f, -1.426083f, -17.600124f, 119.530563f, -230.876984f, 410.192780f,
      -211.637222f, -10.413651f, 22.910971f, -8.626378f, -145.729019f, 741.729919f,
      -1265.671997f, 2167.789307f, -1160.199219f, -64.620430f, 189.702820f, -49.132126f,
      3.201853f, -6.654925f, 15.306328f, -6.100348f, 16.368954f, -41.071194f,
      78.228210f, -37.648590f, -1.426083f, -17.600124f, 119.530563f, -230.876984f,
      410.192780f, -211.637222f, -10.413651f, 22.910971f, -8.626378f, -145.729019f,
      741.729919f, -1265.671997f, 2167.789307f, -1160.199219f, -64.620430f, 189.702820f,
      -49.132126f, 71.788422f, -78.964867f, -985.896790f, 4331.640625f, -6866.027344f,
      11494.852539f, -6293.858398f, -377.377899f, 1283.391479f, -449.749817f, 45.826328f, };
    const struct
    {
        float *red_in, *green_in, *blue_in;
        const float *red_out, *green_out, *blue_out;
        float roffset, goffset, boffset;
    }
    test[] =
    {
      { rout, gout, bout, table, &table[90], &table[180], 1.01f, 1.02f, 1.03f, },
      { rout, rout, rout, &table[180], &table[180], &table[180], 1.03f, 1.03f, 1.03f, },
      { rout, rout, bout, &table[90], &table[90], &table[180], 1.02f, 1.02f, 1.03f, },
      { rout, gout, gout, table, &table[180], &table[180], 1.01f, 1.03f, 1.03f, },
      { rout, gout, rout, &table[180], &table[90], &table[180], 1.03f, 1.02f, 1.03f, },
    /* D3DXSHEvalDirectionaLight accepts NULL green or blue colour. */
      { rout, NULL, bout, table, NULL, &table[180], 1.01f, 0.0f, 1.03f, },
      { rout, gout, NULL, table, &table[90], NULL, 1.01f, 1.02f, 0.0f, },
      { rout, NULL, NULL, table, NULL, NULL, 1.01f, 0.0f, 0.0f, },
    };

    dir.x = 1.1f; dir.y= 1.2f; dir.z = 2.76f;

    for (l = 0; l < ARRAY_SIZE(test); ++l)
    {
        startindex = 0;

        for (order = D3DXSH_MINORDER; order <= D3DXSH_MAXORDER; order++)
        {
            red_out = test[l].red_in;
            green_out = test[l].green_in;
            blue_out = test[l].blue_in;

            for (j = 0; j < ARRAY_SIZE(rout); ++j)
            {
                red_out[j] = 1.01f + j;
                if ( green_out )
                    green_out[j] = 1.02f + j;
                if ( blue_out )
                    blue_out[j] = 1.03f + j;
            }

            hr = D3DXSHEvalDirectionalLight(order, &dir, 1.7f, 2.6f, 3.5f, red_out, green_out, blue_out);
            ok(hr == D3D_OK, "Expected %#x, got %#x\n", D3D_OK, hr);

            for (j = 0; j < ARRAY_SIZE(rout); ++j)
            {
                if ( j >= order * order )
                    expected = j + test[l].roffset;
                else
                    expected = test[l].red_out[startindex + j];
                equal = compare_float(expected, red_out[j], 8);
                ok(equal, "Red: case %u, order %u: expected[%u] = %.8e, received %.8e.\n",
                        l, order, j, expected, red_out[j]);

                if ( green_out )
                {
                    if ( j >= order * order )
                        expected = j + test[l].goffset;
                    else
                        expected = test[l].green_out[startindex + j];
                    equal = compare_float(expected, green_out[j], 8);
                    ok(equal, "Green: case %u, order %u: expected[%u] = %.8e, received %.8e.\n",
                            l, order, j, expected, green_out[j]);
                }

                if ( blue_out )
                {
                    if ( j >= order * order )
                        expected = j + test[l].boffset;
                    else
                        expected = test[l].blue_out[startindex + j];
                    equal = compare_float(expected, blue_out[j], 4);
                    ok(equal, "Blue: case %u, order %u: expected[%u] = %.8e, received %.8e.\n",
                            l, order, j, expected, blue_out[j]);
                }
            }

            startindex += order * order;
        }
    }

    /* D3DXSHEvalDirectionalLight accepts order < D3DXSH_MINORDER or order > D3DXSH_MAXORDER. But tests in native windows show that the colour outputs are not set*/
    hr = D3DXSHEvalDirectionalLight(7, &dir, 1.0f, 2.0f, 3.0f, rout, gout, bout);
    ok(hr == D3D_OK, "Expected %#x, got %#x\n", D3D_OK, hr);
    hr = D3DXSHEvalDirectionalLight(0, &dir, 1.0f, 2.0f, 3.0f, rout, gout, bout);
    ok(hr == D3D_OK, "Expected %#x, got %#x\n", D3D_OK, hr);
    hr = D3DXSHEvalDirectionalLight(1, &dir, 1.0f, 2.0f, 3.0f, rout, gout, bout);
    ok(hr == D3D_OK, "Expected %#x, got %#x\n", D3D_OK, hr);
}

static void test_D3DXSHEvalHemisphereLight(void)
{
    float bout[49], expected, gout[49], rout[49];
    unsigned int j, l, order;
    D3DXCOLOR bottom, top;
    D3DXVECTOR3 dir;
    HRESULT hr;
    BOOL equal;

    static const float table[] =
    {
        /* Red colour. */
        23.422981f, 15.859521f, -36.476898f, 14.537894f,
        /* Green colour. */
        19.966694f,  6.096982f, -14.023058f,  5.588900f,
        /* Blue colour. */
        24.566214f,  8.546826f, -19.657701f,  7.834591f,
    };
    const struct
    {
        float *red_received, *green_received, *blue_received;
        const float *red_expected, *green_expected, *blue_expected;
        const float roffset, goffset, boffset;
    }
    test[] =
    {
        { rout, gout, bout, table, &table[4], &table[8], 1.01f, 1.02f, 1.03f, },
        { rout, rout, rout, &table[8], &table[8], &table[8], 1.03f, 1.03f, 1.03f, },
        { rout, rout, bout, &table[4], &table[4], &table[8], 1.02f, 1.02f, 1.03f, },
        { rout, gout, gout, table, &table[8], &table[8], 1.01f, 1.03f, 1.03f, },
        { rout, gout, rout, &table[8], &table[4], &table[8], 1.03f, 1.02f, 1.03f, },
    /* D3DXSHEvalHemisphereLight accepts NULL green or blue colour. */
        { rout, NULL, bout, table, NULL, &table[8], 1.01f, 1.02f, 1.03f, },
        { rout, gout, NULL, table, &table[4], NULL, 1.01f, 1.02f, 1.03f, },
        { rout, NULL, NULL, table, NULL, NULL, 1.01f, 1.02f, 1.03f, },
    };

    dir.x = 1.1f; dir.y = 1.2f; dir.z = 2.76f;
    top.r = 0.1f; top.g = 2.1f; top.b = 2.3f; top.a = 4.3f;
    bottom.r = 8.71f; bottom.g = 5.41f; bottom.b = 6.94f; bottom.a = 8.43f;

    for (l = 0; l < ARRAY_SIZE(test); ++l)
        for (order = D3DXSH_MINORDER; order <= D3DXSH_MAXORDER + 1; order++)
        {
            for (j = 0; j < 49; j++)
            {
                test[l].red_received[j] = 1.01f + j;
                if (test[l].green_received)
                    test[l].green_received[j] = 1.02f + j;
                if (test[l].blue_received)
                    test[l].blue_received[j] = 1.03f + j;
            }

            hr = D3DXSHEvalHemisphereLight(order, &dir, top, bottom, test[l].red_received, test[l].green_received, test[l].blue_received);
            ok(hr == D3D_OK, "Expected %#x, got %#x\n", D3D_OK, hr);

            for (j = 0; j < 49; j++)
            {
                if (j < 4)
                    expected = test[l].red_expected[j];
                else if (j < order * order)
                     expected = 0.0f;
                else
                    expected = test[l].roffset + j;
                equal = compare_float(test[l].red_received[j], expected, 4);
                ok(equal, "Red: case %u, order %u: expected[%u] = %.8e, received %.8e.\n",
                        l, order, j, expected, test[l].red_received[j]);

                if (test[l].green_received)
                {
                    if (j < 4)
                        expected = test[l].green_expected[j];
                    else if (j < order * order)
                         expected = 0.0f;
                    else
                         expected = test[l].goffset + j;
                    equal = compare_float(expected, test[l].green_received[j], 4);
                    ok(equal, "Green: case %u, order %u: expected[%u] = %.8e, received %.8e.\n",
                            l, order, j, expected, test[l].green_received[j]);
                }

                if (test[l].blue_received)
                {
                    if (j < 4)
                        expected = test[l].blue_expected[j];
                    else if (j < order * order)
                        expected = 0.0f;
                    else
                        expected = test[l].boffset + j;
                    equal = compare_float(expected, test[l].blue_received[j], 4);
                    ok(equal, "Blue: case %u, order %u: expected[%u] = %.8e, received %.8e.\n",
                            l, order, j, expected, test[l].blue_received[j]);
                }
            }
        }
}

static void test_D3DXSHEvalSphericalLight(void)
{
    float bout[49], expected, gout[49], rout[49];
    unsigned int j, l, order;
    D3DXVECTOR3 dir;
    HRESULT hr;
    BOOL equal;

    static const float table[] =
    {
        /* Red colour. */
         3.01317239e+00f, -9.77240324e-01f,  2.24765277e+00f, -8.95803630e-01f, -1.22213947e-07f,  3.06645916e-07f,
        -3.36369283e-07f,  2.81092071e-07f,  1.06474305e-08f,  6.29281402e-02f, -4.27374065e-01f,  6.19212627e-01f,
        -3.04508984e-01f,  5.67611575e-01f,  3.72333601e-02f, -8.19167346e-02f, -4.70457762e-09f, -7.94764006e-08f,
         3.32868979e-07f, -3.08902315e-07f,  5.30925970e-10f, -2.83160460e-07f, -2.89999580e-08f,  1.03458447e-07f,
        -2.67952434e-08f,  1.24992710e-02f, -1.37487827e-02f, -1.48109317e-01f,  4.34345961e-01f, -2.45986164e-01f,
        -1.51757941e-01f, -2.25487292e-01f, -3.78407575e-02f,  1.92801371e-01f, -7.83071220e-02f,  7.97894225e-03f,

         4.02519643e-01f, -2.43653327e-01f,  5.60402632e-01f, -2.23348871e-01f,  1.62046894e-01f, -4.06590402e-01f,
         4.46001410e-01f, -3.72707844e-01f, -1.41177261e-02f, -4.31995131e-02f,  2.93387860e-01f, -4.25083041e-01f,
         2.09042251e-01f, -3.89659435e-01f, -2.55603138e-02f,  5.62349856e-02f, -4.68822848e-03f, -7.92002082e-02f,
         3.31712216e-01f, -3.07828844e-01f,  5.29080920e-04f, -2.82176435e-01f, -2.88991798e-02f,  1.03098914e-01f,
        -2.67021265e-02f,  7.24340184e-03f, -7.96750095e-03f, -8.58302265e-02f,  2.51706064e-01f, -1.42550439e-01f,
        -8.79446268e-02f, -1.30671218e-01f, -2.19289437e-02f,  1.11729540e-01f, -4.53794412e-02f,  4.62384429e-03f,

         1.95445275e+00f, -8.56593668e-01f,  1.97016549e+00f, -7.85210848e-01f,  2.31033459e-01f, -5.79683959e-01f,
         6.35873020e-01f, -5.31376958e-01f, -2.01279204e-02f,  2.11104341e-02f, -1.43370718e-01f,  2.07726598e-01f,
        -1.02153301e-01f,  1.90416038e-01f,  1.24906348e-02f, -2.74805184e-02f,  6.33162493e-03f,  1.06962793e-01f,
        -4.47989494e-01f,  4.15734142e-01f, -7.14543217e-04f,  3.81089628e-01f,  3.90294008e-02f, -1.39238864e-01f,
         3.60621996e-02f, -4.47360286e-03f,  4.92081419e-03f,  5.30096702e-02f, -1.55456364e-01f,  8.80406797e-02f,
         5.43155447e-02f,  8.07039514e-02f,  1.35435509e-02f, -6.90053627e-02f,  2.80268304e-02f, -2.85573583e-03f,
        /* Green colour. */
         4.60838127e+00f, -1.49460280e+00f,  3.43758631e+00f, -1.37005258e+00f, -1.86915443e-07f,  4.68987878e-07f,
        -5.14447095e-07f,  4.29905526e-07f,  1.62843055e-08f,  9.62430239e-02f, -6.53630912e-01f,  9.47031021e-01f,
        -4.65719581e-01f,  8.68111789e-01f,  5.69451340e-02f, -1.25284418e-01f, -7.19523641e-09f, -1.21552148e-07f,
         5.09093695e-07f, -4.72438842e-07f,  8.12004408e-10f, -4.33068919e-07f, -4.43528769e-08f,  1.58230563e-07f,
        -4.09809608e-08f,  1.91165321e-02f, -2.10275482e-02f, -2.26520121e-01f,  6.64293766e-01f, -3.76214117e-01f,
        -2.32100368e-01f, -3.44862908e-01f, -5.78740984e-02f,  2.94872671e-01f, -1.19763829e-01f,  1.22030871e-02f,

         6.15618229e-01f, -3.72646272e-01f,  8.57086360e-01f, -3.41592401e-01f,  2.47836411e-01f, -6.21844113e-01f,
         6.82119787e-01f, -5.70023775e-01f, -2.15918161e-02f, -6.60698414e-02f,  4.48710799e-01f, -6.50126934e-01f,
         3.19711655e-01f, -5.95949709e-01f, -3.90922427e-02f,  8.60064477e-02f, -7.17023155e-03f, -1.21129729e-01f,
         5.07324517e-01f, -4.70797032e-01f,  8.09182529e-04f, -4.31563944e-01f, -4.41987440e-02f,  1.57680690e-01f,
        -4.08385433e-02f,  1.10781426e-02f, -1.21855885e-02f, -1.31269753e-01f,  3.84962171e-01f, -2.18018293e-01f,
        -1.34503528e-01f, -1.99850082e-01f, -3.35383788e-02f,  1.70880452e-01f, -6.94038495e-02f,  7.07176095e-03f,

         2.98916292e+00f, -1.31008446e+00f,  3.01319408e+00f, -1.20091069e+00f,  3.53345245e-01f, -8.86575401e-01f,
         9.72511649e-01f, -8.12694073e-01f, -3.07838768e-02f,  3.22865434e-02f, -2.19272852e-01f,  3.17699492e-01f,
        -1.56234443e-01f,  2.91224509e-01f,  1.91033222e-02f, -4.20290269e-02f,  9.68366116e-03f,  1.63590148e-01f,
        -6.85160398e-01f,  6.35828674e-01f, -1.09283067e-03f,  5.82842946e-01f,  5.96920252e-02f, -2.12953553e-01f,
         5.51539510e-02f, -6.84198039e-03f,  7.52595067e-03f,  8.10736120e-02f, -2.37756789e-01f,  1.34650454e-01f,
         8.30708295e-02f,  1.23429567e-01f,  2.07136646e-02f, -1.05537608e-01f,  4.28645648e-02f, -4.36759600e-03f,
        /* Blue colour. */
         6.20359039e+00f, -2.01196527e+00f,  4.62752008e+00f, -1.84430146e+00f, -2.51616967e-07f,  6.31329840e-07f,
        -6.92524964e-07f,  5.78718982e-07f,  2.19211813e-08f,  1.29557922e-01f, -8.79887760e-01f,  1.27484941e+00f,
        -6.26930237e-01f,  1.16861200e+00f,  7.66569078e-02f, -1.68652087e-01f, -9.68589564e-09f, -1.63627888e-07f,
         6.85318469e-07f, -6.35975368e-07f,  1.09308285e-09f, -5.82977407e-07f, -5.97057976e-08f,  2.13002679e-07f,
        -5.51666766e-08f,  2.57337932e-02f, -2.83063166e-02f, -3.04930955e-01f,  8.94241691e-01f, -5.06442070e-01f,
        -3.12442809e-01f, -4.64238554e-01f, -7.79074430e-02f,  3.96944016e-01f, -1.61220551e-01f,  1.64272338e-02f,

         8.28716874e-01f, -5.01639187e-01f,  1.15377009e+00f, -4.59835887e-01f,  3.33625972e-01f, -8.37097943e-01f,
         9.18238282e-01f, -7.67339706e-01f, -2.90659070e-02f, -8.89401734e-02f,  6.04033828e-01f, -8.75170946e-01f,
         4.30381119e-01f, -8.02240014e-01f, -5.26241735e-02f,  1.15777917e-01f, -9.65223555e-03f, -1.63059264e-01f,
         6.82936907e-01f, -6.33765280e-01f,  1.08928420e-03f, -5.80951512e-01f, -5.94983101e-02f,  2.12262481e-01f,
        -5.49749658e-02f,  1.49128847e-02f, -1.64036769e-02f, -1.76709279e-01f,  5.18218338e-01f, -2.93486178e-01f,
        -1.81062460e-01f, -2.69028962e-01f, -4.51478213e-02f,  2.30031401e-01f, -9.34282616e-02f,  9.51967947e-03f,

         4.02387333e+00f, -1.76357520e+00f,  4.05622292e+00f, -1.61661065e+00f,  4.75657105e-01f, -1.19346702e+00f,
         1.30915034e+00f, -1.09401131e+00f, -4.14398350e-02f,  4.34626564e-02f, -2.95174986e-01f,  4.27672386e-01f,
        -2.10315600e-01f,  3.92033011e-01f,  2.57160105e-02f, -5.65775372e-02f,  1.30356979e-02f,  2.20217496e-01f,
        -9.22331274e-01f,  8.55923176e-01f, -1.47111830e-03f,  7.84596264e-01f,  8.03546458e-02f, -2.86668241e-01f,
         7.42457062e-02f, -9.21035837e-03f,  1.01310881e-02f,  1.09137557e-01f, -3.20057213e-01f,  1.81260213e-01f,
         1.11826122e-01f,  1.66155189e-01f,  2.78837811e-02f, -1.42069861e-01f,  5.77022992e-02f, -5.87945618e-03f,
    };
    const struct
    {
        float *red_received, *green_received, *blue_received;
        const float *red_expected, *green_expected, *blue_expected;
        float radius, roffset, goffset, boffset;
    }
    test[] =
    {
        { rout, gout, bout, table, &table[108], &table[216], 17.4f, 1.01f, 1.02f, 1.03f, },
        { rout, gout, bout, &table[36], &table[144], &table[252], 1.6f, 1.01f, 1.02f, 1.03f, },
        { rout, gout, bout, &table[72], &table[180], &table[288], -3.0f, 1.01f, 1.02f, 1.03f, },
        { rout, rout, rout, &table[216], &table[216], &table[216], 17.4f, 1.03f, 1.03f, 1.03f, },
        { rout, rout, bout, &table[108], &table[108], &table[216], 17.4, 1.02f, 1.02f, 1.03f, },
        { rout, gout, gout, table, &table[216], &table[216], 17.4f, 1.01f, 1.03f, 1.03f, },
        { rout, gout, rout, &table[216], &table[108], &table[216], 17.4f, 1.03f, 1.02f, 1.03f, },
    /* D3DXSHEvalSphericalLight accepts NULL green or blue colour. */
        { rout, NULL, bout, table, NULL, &table[216], 17.4f, 1.01f, 0.0f, 1.03f, },
        { rout, gout, NULL, table, &table[108], NULL, 17.4f, 1.01f, 1.02f, 0.0f, },
        { rout, NULL, NULL, table, NULL, NULL, 17.4f, 1.01f, 0.0f, 0.0f, },
    };

    dir.x = 1.1f; dir.y = 1.2f; dir.z = 2.76f;

    for (l = 0; l < ARRAY_SIZE(test); ++l)
    {
        for (order = D3DXSH_MINORDER; order <= D3DXSH_MAXORDER; order++)
        {
            for (j = 0; j < 49; j++)
            {
                test[l].red_received[j] = 1.01f + j;
                if (test[l].green_received)
                    test[l].green_received[j] = 1.02f + j;
                if (test[l].blue_received)
                    test[l].blue_received[j] = 1.03f + j;
            }

            hr = D3DXSHEvalSphericalLight(order, &dir, test[l].radius, 1.7f, 2.6f, 3.5f, test[l].red_received, test[l].green_received, test[l].blue_received);
            ok(hr == D3D_OK, "Expected %#x, got %#x\n", D3D_OK, hr);

            for (j = 0; j < 49; j++)
            {
                if (j >= order * order)
                    expected = j + test[l].roffset;
                else
                    expected = test[l].red_expected[j];
                equal = compare_float(expected, test[l].red_received[j], 2048);
                ok(equal || (fabs(expected) < 1.0e-6f && fabs(test[l].red_received[j]) < 1.0e-6f),
                        "Red: case %u, order %u: expected[%u] = %.8e, received %.8e.\n",
                        l, order, j, expected, test[l].red_received[j]);

                if (test[l].green_received)
                {
                    if (j >= order * order)
                        expected = j + test[l].goffset;
                    else
                        expected = test[l].green_expected[j];
                    equal = compare_float(expected, test[l].green_received[j], 2048);
                    ok(equal || (fabs(expected) < 1.0e-6f && fabs(test[l].green_received[j]) < 1.0e-6f),
                            "Green: case %u, order %u: expected[%u] = %.8e, received %.8e.\n",
                            l, order, j, expected, test[l].green_received[j]);
                }

                if (test[l].blue_received)
                {
                    if (j >= order * order)
                        expected = j + test[l].boffset;
                    else
                        expected = test[l].blue_expected[j];
                    equal = compare_float(expected, test[l].blue_received[j], 2048);
                    ok(equal || (fabs(expected) < 1.0e-6f && fabs(test[l].blue_received[j]) < 1.0e-6f),
                            "Blue: case %u, order %u: expected[%u] = %.8e, received %.8e.\n",
                            l, order, j, expected, test[l].blue_received[j]);
                }
            }
        }
    }

    /* D3DXSHEvalSphericalLight accepts order < D3DXSH_MINORDER or order > D3DXSH_MAXORDER. But tests in native windows show that the colour outputs are not set */
    hr = D3DXSHEvalSphericalLight(7, &dir, 17.4f, 1.0f, 2.0f, 3.0f, rout, gout, bout);
    ok(hr == D3D_OK, "Expected %#x, got %#x\n", D3D_OK, hr);
    hr = D3DXSHEvalSphericalLight(0, &dir, 17.4f, 1.0f, 2.0f, 3.0f, rout, gout, bout);
    ok(hr == D3D_OK, "Expected %#x, got %#x\n", D3D_OK, hr);
    hr = D3DXSHEvalSphericalLight(1, &dir, 17.4f, 1.0f, 2.0f, 3.0f, rout, gout, bout);
    ok(hr == D3D_OK, "Expected %#x, got %#x\n", D3D_OK, hr);
}

static void test_D3DXSHMultiply2(void)
{
    float a[20], b[20], c[20];
    unsigned int i;
    BOOL equal;

    /* D3DXSHMultiply2() only modifies the first 4 elements of the array. */
    static const float expected[20] =
    {
         3.41859412f,  1.69821072f,  1.70385253f,  1.70949447f,  4.0f,  5.0f,  6.0f,
                7.0f,         8.0f,         9.0f,        10.0f, 11.0f, 12.0f, 13.0f,
               14.0f,        15.0f,        16.0f,        17.0f, 18.0f, 19.0f,
    };

    for (i = 0; i < ARRAY_SIZE(a); ++i)
    {
        a[i] = 1.0f + i / 100.0f;
        b[i] = 3.0f - i / 100.0f;
        c[i] = i;
    }

    D3DXSHMultiply2(c, a, b);
    for (i = 0; i < ARRAY_SIZE(expected); ++i)
    {
        equal = compare_float(c[i], expected[i], 2);
        ok(equal, "Expected[%u] = %.8e, received = %.8e.\n", i, expected[i], c[i]);
    }
}

static void test_D3DXSHMultiply3(void)
{
    float a[20], b[20], c[20];
    unsigned int i;
    BOOL equal;

    /* D3DXSHMultiply3() only modifies the first 9 elements of the array. */
    static const float expected[20] =
    {
        7.81391382e+00f, 2.25605774e+00f, 5.94839954e+00f, 4.97089481e+00f, 2.89985824e+00f, 3.59894633e+00f,
        1.72657156e+00f, 5.57353783e+00f, 6.22063160e-01f, 9.00000000e+00f, 1.00000000e+01f, 1.10000000e+01f,
        1.20000000e+01f, 1.30000000e+01f, 1.40000000e+01f, 1.50000000e+01f, 1.60000000e+01f, 1.70000000e+01f,
        1.80000000e+01f, 1.90000000e+01f,
    };
    static const float expected_aliased[20] =
    {
        4.54092499e+02f, 2.12640405e+00f, 5.57040071e+00f, 1.53303785e+01f, 2.27960873e+01f, 4.36041260e+01f,
        4.27384138e+00f, 1.75772034e+02f, 2.37672729e+02f, 1.09000003e+00f, 1.10000002e+00f, 1.11000001e+00f,
        1.12000000e+00f, 1.13000000e+00f, 1.13999999e+00f, 1.14999998e+00f, 1.15999997e+00f, 1.16999996e+00f,
        1.17999995e+00f, 1.19000006e+00f,
    };

    for (i = 0; i < ARRAY_SIZE(a); ++i)
    {
        a[i] = 1.0f + i / 100.0f;
        b[i] = 3.0f - i / 100.0f;
        c[i] = i;
    }

    D3DXSHMultiply3(c, a, b);
    for (i = 0; i < ARRAY_SIZE(expected); ++i)
    {
        equal = compare_float(c[i], expected[i], 4);
        ok(equal, "Expected[%u] = %.8e, received = %.8e.\n", i, expected[i], c[i]);
    }

    memcpy(c, a, sizeof(c));
    D3DXSHMultiply3(c, c, b);
    for (i = 0; i < ARRAY_SIZE(expected_aliased); ++i)
    {
        equal = compare_float(c[i], expected_aliased[i], 32);
        ok(equal, "Expected[%u] = %.8e, received = %.8e.\n", i, expected_aliased[i], c[i]);
    }
}

static void test_D3DXSHMultiply4(void)
{
    float a[20], b[20], c[20];
    unsigned int i;
    BOOL equal;

    /* D3DXSHMultiply4() only modifies the first 16 elements of the array. */
    static const float expected[] =
    {
        /* c, a, b */
         1.41825991e+01f,  2.61570334e+00f,  1.28286009e+01f,  9.82059574e+00f,  3.03969646e+00f,  4.53044176e+00f,
         5.82058382e+00f,  1.22498465e+01f,  2.19434643e+00f,  3.90015244e+00f,  5.41660881e+00f,  5.60181284e+00f,
         9.59981740e-01f,  7.03754997e+00f,  3.62523031e+00f,  4.63601470e-01f,  1.60000000e+01f,  1.70000000e+01f,
         1.80000000e+01f,  1.90000000e+01f,
        /* c, c, b */
        -2.11441266e+05f, -2.52915771e+03f, -1.00233936e+04f, -4.41277191e+02f, -1.63994385e+02f, -5.26305115e+02f,
         2.96361875e+04f, -3.93183081e+03f, -1.35771113e+04f, -3.97897388e+03f, -1.03303418e+04f, -1.37797871e+04f,
        -1.66851094e+04f, -4.49813750e+04f, -7.32697422e+04f, -9.52373359e+04f,  1.60000000e+01f,  1.70000000e+01f,
         1.80000000e+01f,  1.90000000e+01f,
        /* c, c, c */
         2.36682415e-01f, -7.17648506e-01f, -1.80499524e-01f, -7.71235973e-02f,  1.44830629e-01f,  5.73285699e-01f,
        -3.37959230e-01f,  5.56938872e-02f, -4.42100227e-01f,  1.47701755e-01f, -5.51566519e-02f,  8.43374059e-02f,
         1.79876596e-01f,  9.09878965e-03f,  2.32199892e-01f,  7.41420984e-02f,  1.60000002e+00f,  1.70000005e+00f,
         1.80000007e+00f,  1.89999998e+00f,
    };

    for (i = 0; i < ARRAY_SIZE(a); ++i)
    {
        a[i] = 1.0f + i / 100.0f;
        b[i] = 3.0f - i / 100.0f;
        c[i] = i;
    }

    D3DXSHMultiply4(c, a, b);
    for (i = 0; i < ARRAY_SIZE(c); ++i)
    {
        equal = compare_float(c[i], expected[i], 16);
        ok(equal, "Expected[%u] = %.8e, received = %.8e.\n", i, expected[i], c[i]);
    }

    for (i = 0; i < ARRAY_SIZE(b); ++i)
    {
        b[i] = 3.0f - i / 100.0f;
        c[i] = i;
    }

    D3DXSHMultiply4(c, c, b);
    for (i = 0; i < ARRAY_SIZE(c); ++i)
    {
        equal = compare_float(c[i], expected[20 + i], 32);
        ok(equal, "Expected[%u] = %.8e, received = %.8e.\n", i, expected[20 + i], c[i]);
    }

    for (i = 0; i < ARRAY_SIZE(c); ++i)
        c[i] = 0.1f * i;

    D3DXSHMultiply4(c, c, c);
    for (i = 0; i < ARRAY_SIZE(c); ++i)
    {
        equal = compare_float(c[i], expected[40 + i], 8);
        ok(equal, "Expected[%u] = %.8e, received = %.8e.\n", i, expected[40 + i], c[i]);
    }
}

static void test_D3DXSHRotate(void)
{
    float expected, in[49], out[49], *out_temp, *received_ptr;
    unsigned int i, j, l, order;
    D3DXMATRIX m[4];
    BOOL equal;

    static const float table[]=
    {
        /* Rotation around the x-axis, π/2. */
         1.00999999e+00f, -3.00999999e+00f,  2.00999975e+00f,  4.01000023e+00f, -8.01000023e+00f, -6.00999928e+00f,
        -1.13078899e+01f,  5.00999975e+00f, -1.56583869e+00f,  1.09359801e+00f, -1.10099983e+01f,  1.98334141e+01f,
        -1.52681913e+01f, -1.90041180e+01f, -3.36488891e+00f, -9.56262684e+00f,  1.20996542e+01f, -2.72131383e-01f,
         3.02410126e+01f,  2.69199905e+01f,  3.92368774e+01f, -2.26324463e+01f,  6.70738792e+00f, -1.17682819e+01f,
         3.44367194e+00f, -6.07445812e+00f,  1.16183939e+01f,  1.52756083e+00f,  3.78963356e+01f, -5.69012184e+01f,
         4.74228935e+01f,  5.03915329e+01f,  1.06181908e+01f,  2.55010109e+01f,  4.92456071e-02f,  1.69833069e+01f,

         1.00999999e+00f, -3.00999999e+00f, -3.01000023e+00f,  4.01000023e+00f, -8.01000023e+00f, -6.00999928e+00f,
        -1.13078890e+01f, -8.01000023e+00f,  1.42979193e+01f,
        /* Rotation around the x-axis, -π/2. */
         1.00999999e+00f,  3.00999999e+00f, -2.01000023e+00f,  4.01000023e+00f,  8.01000023e+00f, -6.01000118e+00f,
        -1.13078880e+01f, -5.01000071e+00f, -1.56583774e+00f, -1.09359753e+00f, -1.10100021e+01f, -1.98334103e+01f,
         1.52681961e+01f, -1.90041142e+01f,  3.36489248e+00f, -9.56262398e+00f, -1.20996523e+01f, -2.72129118e-01f,
        -3.02410049e+01f,  2.69200020e+01f,  3.92368736e+01f,  2.26324520e+01f,  6.70738268e+00f,  1.17682877e+01f,
         3.44367099e+00f,  6.07445717e+00f,  1.16183996e+01f, -1.52756333e+00f,  3.78963509e+01f,  5.69011993e+01f,
        -4.74229126e+01f,  5.03915253e+01f, -1.06182041e+01f,  2.55009995e+01f, -4.92481887e-02f,  1.69833050e+01f,

         1.00999999e+00f,  3.00999999e+00f, -3.01000023e+00f,  4.01000023e+00f,  8.01000023e+00f, -6.01000118e+00f,
        -1.13078899e+01f, -8.01000023e+00f,  1.42979193e+01f,
        /* Yaw π/3, pitch π/4, roll π/5. */
         1.00999999e+00f,  4.94489908e+00f,  1.44230127e+00f,  1.62728095e+00f,  2.19220325e-01f,  1.05408239e+01f,
        -9.13690281e+00f,  2.76374960e+00f, -7.30904531e+00f, -5.87572050e+00f,  5.30312395e+00f, -8.68215370e+00f,
        -2.56833839e+01f,  1.68027866e+00f, -1.88083878e+01f,  7.65365601e+00f,  1.69391327e+01f, -1.73280182e+01f,
         1.46297951e+01f, -5.44671021e+01f, -1.22310352e+01f, -4.08985710e+00f, -9.44422245e+00f,  3.05603528e+00f,
         1.79257303e-01f, -1.00418749e+01f,  2.30900917e+01f, -2.31887093e+01f,  1.17270985e+01f, -6.51830902e+01f,
         4.86715775e+01f, -1.50732088e+01f,  3.87931709e+01f, -2.60395355e+01f,  6.19276857e+00f, -1.76722469e+01f,

         1.00999999e+00f,  4.94489908e+00f, -8.91142070e-01f,  4.60769463e+00f,  2.19218358e-01f,  1.07733250e+01f,
        -8.20476913e+00f,  1.35638294e+01f, -1.20077667e+01f,
        /* Rotation around the z-axis, π/6. */
         1.00999999e+00f,  3.74571109e+00f,  3.00999999e+00f,  2.46776199e+00f,  1.03078890e+01f,  9.20981312e+00f,
         7.01000023e+00f,  3.93186355e+00f,  1.66212186e-01f,  1.60099983e+01f,  1.85040417e+01f,  1.74059658e+01f,
         1.30100002e+01f,  6.12801647e+00f, -2.02994061e+00f, -1.00100012e+01f,  1.31542921e+01f,  2.40099964e+01f,
         2.94322453e+01f,  2.83341675e+01f,  2.10100021e+01f,  9.05622101e+00f, -4.95814323e+00f, -1.80100002e+01f,
        -2.72360935e+01f, -4.52033186e+00f,  1.68145428e+01f,  3.40099945e+01f,  4.30924950e+01f,  4.19944229e+01f,
         3.10100002e+01f,  1.27164707e+01f, -8.61839962e+00f, -2.80100021e+01f, -4.08963470e+01f, -4.41905708e+01f,

         1.00999999e+00f,  3.74571109e+00f,  3.00999999e+00f,  1.59990644e+00f,  1.03078890e+01f,  9.20981312e+00f,
         7.01000023e+00f,  2.33195710e+00f, -4.42189360e+00f,
    };

    D3DXMatrixRotationX(&m[0], -D3DX_PI / 2.0f);
    D3DXMatrixRotationX(&m[1], D3DX_PI / 2.0f);
    D3DXMatrixRotationYawPitchRoll(&m[2], D3DX_PI / 3.0f, D3DX_PI / 4.0f, D3DX_PI / 5.0f);
    D3DXMatrixRotationZ(&m[3], D3DX_PI / 6.0f);

    for (l = 0; l < 2; l++)
    {
        if (l == 0)
            out_temp = out;
        else
            out_temp = in;

        for (j = 0; j < ARRAY_SIZE(m); ++j)
        {
            for (order = 0; order <= D3DXSH_MAXORDER; order++)
            {
                for (i = 0; i < ARRAY_SIZE(out); ++i)
                {
                    out[i] = ( i + 1.0f ) * ( i + 1.0f );
                    in[i] = i + 1.01f;
                }

                received_ptr = D3DXSHRotate(out_temp, order, &m[j], in);
                ok(received_ptr == out_temp, "Order %u, expected %p, received %p.\n",
                        order, out, received_ptr);

                for (i = 0; i < ARRAY_SIZE(out); ++i)
                {
                    if ((i > 0) && ((i >= order * order) || (order > D3DXSH_MAXORDER)))
                    {
                        if (l == 0)
                            expected = ( i + 1.0f ) * ( i + 1.0f );
                        else
                            expected = i + 1.01f;
                    }
                    else if ((l == 0) || (order > 3))
                        expected = table[45 * j + i];
                    else
                        expected = table[45 * j + 36 +i];
                    equal = compare_float(out_temp[i], expected, 4096);
                    ok(equal, "Order %u index %u, expected %.8e, received %.8e.\n",
                            order, i, expected, out_temp[i]);
                }
            }
        }
    }
}

static void test_D3DXSHRotateZ(void)
{
    float expected, in[49], out[49], *out_temp, *received_ptr;
    unsigned int end, i, j, l, order, square;
    BOOL equal;

    static const float angle[] = {D3DX_PI / 3.0f, -D3DX_PI / 3.0f, 4.0f * D3DX_PI / 3.0f};
    static const float table[] =
    {
        /* Angle π/3. */
         1.00999999e+00f,  4.47776222e+00f,  3.00999999e+00f,  2.64288902e-01f,  5.29788828e+00f,  9.94186401e+00f,
         7.01000023e+00f, -1.19981313e+00f, -8.84378910e+00f, -1.00100021e+01f,  7.49403954e+00f,  1.81380157e+01f,
         1.30100002e+01f, -3.39596605e+00f, -1.70399418e+01f, -1.60099983e+01f, -3.01642971e+01f, -1.80100040e+01f,
         1.04222422e+01f,  2.90662193e+01f,  2.10100002e+01f, -6.32417059e+00f, -2.79681454e+01f, -2.40099983e+01f,
         2.22609901e+00f, -1.81805649e+01f, -4.38245506e+01f, -2.80100040e+01f,  1.40824928e+01f,  4.27264709e+01f,
         3.10100002e+01f, -9.98442554e+00f, -4.16283989e+01f, -3.40099945e+01f,  5.88635778e+00f,  4.05303307e+01f,

         1.00999999e+00f,  4.47776222e+00f,  0.00000000e+00f, -5.81678391e+00f,  5.29788828e+00f,  6.93686390e+00f,
         0.00000000e+00f, -9.01125050e+00f, -2.29405236e+00f, -1.00100021e+01f,  1.29990416e+01f,  1.21330166e+01f,
         0.00000000e+00f, -1.57612505e+01f, -5.62874842e+00f,  0.00000000e+00f, -3.01642971e+01f, -3.29017075e-06f,
         1.99272442e+01f,  1.90612202e+01f,  0.00000000e+00f, -2.47612514e+01f, -8.62874794e+00f,  0.00000000e+00f,
        -1.30615301e+01f, -1.81805649e+01f, -3.03195534e+01f, -4.66050415e-06f,  2.85874958e+01f,  2.77214737e+01f,
         0.00000000e+00f, -3.60112534e+01f, -1.23787460e+01f,  0.00000000e+00f, -1.31287584e+01f, -2.36172504e+01f,

         1.00999999e+00f,  3.97776222e+00f,  3.97776222e+00f,  1.11419535e+00f,  7.24579096e+00f,  1.05597591e+01f,
         1.05597591e+01f, -9.95159924e-01f, -4.67341393e-01f,  4.67339337e-01f,  1.27653713e+01f,  1.85157013e+01f,
         1.85157013e+01f, -1.79728663e+00f,  4.93915796e-01f, -4.93915856e-01f, -2.14123421e+01f,  2.14123383e+01f,
         9.22107220e+00f,  2.36717567e+01f,  2.36717567e+01f,  3.85019469e+00f, -2.04687271e+01f,  2.04687233e+01f,
        -1.06621027e+01f, -3.65166283e+01f, -1.20612450e+01f,  1.20612402e+01f,  2.25568752e+01f,  3.89999084e+01f,
         3.89999084e+01f, -3.48751247e-02f, -1.04279022e+01f,  1.04279003e+01f, -3.68382835e+01f, -2.76528034e+01f,
        /* Angle -π/3. */
         1.00999999e+00f, -2.46776247e+00f,  3.00999999e+00f,  3.74571109e+00f, -1.03078899e+01f, -3.93186426e+00f,
         7.01000023e+00f,  9.20981312e+00f, -1.66213632e-01f, -1.00099983e+01f, -1.85040436e+01f, -6.12801695e+00f,
         1.30100002e+01f,  1.74059658e+01f,  2.02993774e+00f, -1.60100021e+01f,  1.31543026e+01f, -1.80099964e+01f,
        -2.94322472e+01f, -9.05622101e+00f,  2.10100002e+01f,  2.83341694e+01f,  4.95813942e+00f, -2.40100021e+01f,
        -2.72360916e+01f,  4.41905823e+01f,  1.68145580e+01f, -2.80099964e+01f, -4.30924988e+01f, -1.27164736e+01f,
         3.10100002e+01f,  4.19944229e+01f,  8.61839294e+00f, -3.40100021e+01f, -4.08963470e+01f, -4.52030993e+00f,

         1.00999999e+00f, -2.46776247e+00f,  0.00000000e+00f, -3.20571756e+00f, -1.03078899e+01f, -6.93686390e+00f,
         0.00000000e+00f, -9.01125050e+00f, -4.46344614e+00f, -1.00099983e+01f, -1.29990416e+01f, -1.21330166e+01f,
         0.00000000e+00f, -1.57612505e+01f, -5.62874842e+00f,  0.00000000e+00f,  1.31543026e+01f,  3.29017075e-06f,
        -1.99272442e+01f, -1.90612202e+01f,  0.00000000e+00f, -2.47612514e+01f, -8.62874794e+00f,  0.00000000e+00f,
        -5.69598293e+00f,  4.41905823e+01f,  3.03195534e+01f,  4.66050415e-06f, -2.85874958e+01f, -2.77214737e+01f,
         0.00000000e+00f, -3.60112534e+01f, -1.23787460e+01f,  0.00000000e+00f, -1.31287584e+01f, -5.74052582e+01f,

         1.00999999e+00f, -2.96776223e+00f, -2.96776223e+00f, -6.09195352e-01f, -7.49829102e+00f, -1.06860094e+01f,
        -1.06860094e+01f, -1.18367157e+01f,  5.39078045e+00f, -5.39077854e+00f, -1.03036509e+01f, -1.72848415e+01f,
        -1.72848415e+01f, -1.75656433e+01f,  4.11427259e+00f, -4.11427307e+00f,  2.37164364e+01f, -2.37164326e+01f,
        -8.06902504e+00f, -2.30957317e+01f, -2.30957317e+01f, -1.85358467e+01f, -1.12711067e+01f,  1.12711039e+01f,
        -2.07248449e+00f,  3.01493301e+01f,  1.52448931e+01f, -1.52448883e+01f, -2.09650497e+01f, -3.82039986e+01f,
        -3.82039986e+01f, -3.72582664e+01f,  5.42667723e+00f, -5.42667913e+00f, -2.33967514e+01f, -9.90355873e+00f,
        /* Angle 4π/3. */
         1.00999999e+00f, -4.47776222e+00f,  3.00999999e+00f, -2.64288664e-01f,  5.29788685e+00f, -9.94186401e+00f,
         7.01000023e+00f,  1.19981360e+00f, -8.84378815e+00f,  1.00100040e+01f,  7.49403811e+00f, -1.81380157e+01f,
         1.30100002e+01f,  3.39596677e+00f, -1.70399399e+01f,  1.60099964e+01f, -3.01642933e+01f,  1.80100060e+01f,
         1.04222393e+01f, -2.90662193e+01f,  2.10100002e+01f,  6.32417202e+00f, -2.79681435e+01f,  2.40099926e+01f,
         2.22610497e+00f,  1.81805515e+01f, -4.38245430e+01f,  2.80100079e+01f,  1.40824890e+01f, -4.27264709e+01f,
         3.10100002e+01f,  9.98442745e+00f, -4.16283989e+01f,  3.40099869e+01f,  5.88636589e+00f, -4.05303268e+01f,

         1.00999999e+00f, -4.47776222e+00f,  0.00000000e+00f, -1.93892837e+00f,  5.29788685e+00f, -6.93686390e+00f,
         0.00000000e+00f, -3.00375080e+00f, -2.29405141e+00f,  1.00100040e+01f,  1.29990396e+01f, -1.21330166e+01f,
         0.00000000e+00f, -5.25375128e+00f, -5.62874699e+00f, -5.68378528e-06f, -3.01642933e+01f,  7.00829787e-06f,
         1.99272423e+01f, -1.90612202e+01f,  0.00000000e+00f, -8.25375271e+00f, -8.62874603e+00f, -4.09131496e-12f,
        -1.30615349e+01f,  1.81805515e+01f, -3.03195534e+01f,  9.92720470e-06f,  2.85874920e+01f, -2.77214737e+01f,
         0.00000000e+00f, -1.20037527e+01f, -1.23787422e+01f, -5.79531909e-12f, -1.31287651e+01f, -7.87240028e+00f,

         1.00999999e+00f, -3.97776222e+00f, -3.97776222e+00f,  2.86356640e+00f,  6.37110424e+00f, -1.01224155e+01f,
        -1.01224155e+01f,  1.05787458e+01f, -7.76929522e+00f, -7.76928997e+00f,  1.68836861e+01f, -2.05748577e+01f,
        -2.05748577e+01f,  2.49091301e+01f, -5.72616625e+00f, -5.72616386e+00f, -1.87962208e+01f, -1.87962112e+01f,
         2.93253498e+01f, -3.37238922e+01f, -3.37238922e+01f,  4.22584419e+01f, -4.85123205e+00f, -4.85122633e+00f,
        -2.53339314e+00f,  3.24522591e+01f, -4.65456696e+01f, -4.65456543e+01f,  5.18603249e+01f, -5.36516304e+01f,
        -5.36516304e+01f,  7.17381744e+01f,  4.44061565e+00f,  4.44062901e+00f,  2.58841743e+01f, -1.07481155e+01f,
    };

    for (l = 0; l < 3; l++)
    {
        if (l == 0)
            out_temp = out;
        else
            out_temp = &in[l - 1];

        if (l < 2)
            end = 49;
        else
            end = 48;

        for (j = 0; j < ARRAY_SIZE(angle); ++j)
        {
            for (order = 0; order <= D3DXSH_MAXORDER + 1; order++)
            {
                for (i = 0; i < ARRAY_SIZE(out); ++i)
                {
                    out[i] = ( i + 1.0f ) * ( i + 1.0f );
                    in[i] = i + 1.01f;
                }

                received_ptr = D3DXSHRotateZ(out_temp, order, angle[j], in);
                ok(received_ptr == out_temp, "angle %f, order %u, expected %p, received %p\n", angle[j], order, out_temp, received_ptr);

                for (i = 0; i < end; i++)
                {
                    /* order = 0 or order = 1 behaves like order = D3DXSH_MINORDER */
                    square = (order <= D3DXSH_MINORDER) ? D3DXSH_MINORDER * D3DXSH_MINORDER : order * order;
                    if (i >= square || ((order >= D3DXSH_MAXORDER) && (i >= D3DXSH_MAXORDER * D3DXSH_MAXORDER)))
                        if (l > 0)
                            expected = i + l + 0.01f;
                        else
                            expected = ( i + 1.0f ) * ( i + 1.0f );
                    else
                        expected = table[36 * (l + 3 * j) + i];
                    equal = compare_float(expected, out_temp[i], 256);
                    ok(equal || (fabs(expected) < 2.0e-5f && fabs(out_temp[i]) < 2.0e-5f),
                            "angle %.8e, order %u index %u, expected %.8e, received %.8e.\n",
                            angle[j], order, i, expected, out_temp[i]);
                }
            }
        }
    }
}

static void test_D3DXSHScale(void)
{
    float a[49], b[49], expected, *received_array;
    unsigned int i, order;
    BOOL equal;

    for (i = 0; i < ARRAY_SIZE(a); ++i)
    {
        a[i] = i;
        b[i] = i;
    }

    for (order = 0; order <= D3DXSH_MAXORDER + 1; order++)
    {
        received_array = D3DXSHScale(b, order, a, 5.0f);
        ok(received_array == b, "Expected %p, received %p\n", b, received_array);

        for (i = 0; i < ARRAY_SIZE(b); ++i)
        {
            if (i < order * order)
                expected = 5.0f * a[i];
            /* D3DXSHScale does not modify the elements of the array after the order * order-th element */
            else
                expected = a[i];
            equal = compare_float(b[i], expected, 0);
            ok(equal, "order %u, element %u, expected %.8e, received %.8e.\n", order, i, expected, b[i]);
        }
    }
}

START_TEST(math)
{
    D3DXColorTest();
    D3DXFresnelTest();
    D3DXMatrixTest();
    D3DXPlaneTest();
    D3DXQuaternionTest();
    D3DXVector2Test();
    D3DXVector3Test();
    D3DXVector4Test();
    test_matrix_stack();
    test_Matrix_AffineTransformation2D();
    test_Matrix_Decompose();
    test_Matrix_Transformation2D();
    test_D3DXVec_Array();
    test_D3DXFloat_Array();
    test_D3DXSHAdd();
    test_D3DXSHDot();
    test_D3DXSHEvalConeLight();
    test_D3DXSHEvalDirection();
    test_D3DXSHEvalDirectionalLight();
    test_D3DXSHEvalHemisphereLight();
    test_D3DXSHEvalSphericalLight();
    test_D3DXSHMultiply2();
    test_D3DXSHMultiply3();
    test_D3DXSHMultiply4();
    test_D3DXSHRotate();
    test_D3DXSHRotateZ();
    test_D3DXSHScale();
}