dlls/d3dx8/math.c

   1 /*
   2  * Copyright 2007 David Adam
   3  *
   4  * This library is free software; you can redistribute it and/or
   5  * modify it under the terms of the GNU Lesser General Public
   6  * License as published by the Free Software Foundation; either
   7  * version 2.1 of the License, or (at your option) any later version.
   8  *
   9  * This library is distributed in the hope that it will be useful,
  10  * but WITHOUT ANY WARRANTY; without even the implied warranty of
  11  * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
  12  * Lesser General Public License for more details.
  13  *
  14  * You should have received a copy of the GNU Lesser General Public
  15  * License along with this library; if not, write to the Free Software
  16  * Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301, USA
  17  */
  18
  19 #include <stdio.h>
  20 #include <stdlib.h>
  21 #include <stdarg.h>
  22 #include <assert.h>
  23
  24 #define NONAMELESSUNION
  25
  26 #include "windef.h"
  27 #include "winbase.h"
  28 #include "wingdi.h"
  29 #include "d3dx8_private.h"
  30
  31 #include "wine/debug.h"
  32
  33 WINE_DEFAULT_DEBUG_CHANNEL(d3dx8);
  34
  35 static const ID3DXMatrixStackVtbl ID3DXMatrixStack_Vtbl;
  36
  37 /*_________________D3DXColor____________________*/
  38
  39 D3DXCOLOR* WINAPI D3DXColorAdjustContrast(D3DXCOLOR *pout, CONST D3DXCOLOR *pc, FLOAT s)
  40 {
  41     pout->r = 0.5f + s * (pc->r - 0.5f);
  42     pout->g = 0.5f + s * (pc->g - 0.5f);
  43     pout->b = 0.5f + s * (pc->b - 0.5f);
  44     pout->a = pc->a;
  45     return pout;
  46 }
  47
  48 D3DXCOLOR* WINAPI D3DXColorAdjustSaturation(D3DXCOLOR *pout, CONST D3DXCOLOR *pc, FLOAT s)
  49 {
  50     FLOAT grey;
  51
  52     grey = pc->r * 0.2125f + pc->g * 0.7154f + pc->b * 0.0721f;
  53     pout->r = grey + s * (pc->r - grey);
  54     pout->g = grey + s * (pc->g - grey);
  55     pout->b = grey + s * (pc->b - grey);
  56     pout->a = pc->a;
  57     return pout;
  58 }
  59
  60 /*_________________D3DXMatrix____________________*/
  61
  62 D3DXMATRIX* WINAPI D3DXMatrixAffineTransformation(D3DXMATRIX *pout, FLOAT scaling, CONST D3DXVECTOR3 *rotationcenter, CONST D3DXQUATERNION *rotation, CONST D3DXVECTOR3 *translation)
  63 {
  64     D3DXMATRIX m1, m2, m3, m4, m5;
  65
  66     D3DXMatrixScaling(&m1, scaling, scaling, scaling);
  67     if ( !rotationcenter )
  68     {
  69      D3DXMatrixIdentity(&m2);
  70      D3DXMatrixIdentity(&m4);
  71     }
  72     else
  73     {
  74      D3DXMatrixTranslation(&m2, -rotationcenter->x, -rotationcenter->y, -rotationcenter->z);
  75      D3DXMatrixTranslation(&m4, rotationcenter->x, rotationcenter->y, rotationcenter->z);
  76     }
  77     if ( !rotation )
  78     {
  79      D3DXMatrixIdentity(&m3);
  80     }
  81     else
  82     {
  83      D3DXMatrixRotationQuaternion(&m3, rotation);
  84     }
  85     if ( !translation )
  86     {
  87      D3DXMatrixIdentity(&m5);
  88     }
  89     else
  90     {
  91      D3DXMatrixTranslation(&m5, translation->x, translation->y, translation->z);
  92     }
  93     D3DXMatrixMultiply(&m1, &m1, &m2);
  94     D3DXMatrixMultiply(&m1, &m1, &m3);
  95     D3DXMatrixMultiply(&m1, &m1, &m4);
  96     D3DXMatrixMultiply(pout, &m1, &m5);
  97     return pout;
  98 }
  99
 100 FLOAT WINAPI D3DXMatrixfDeterminant(CONST D3DXMATRIX *pm)
 101 {
 102     D3DXVECTOR4 minor, v1, v2, v3;
 103     FLOAT det;
 104
 105     v1.x = pm->u.m[0][0]; v1.y = pm->u.m[1][0]; v1.z = pm->u.m[2][0]; v1.w = pm->u.m[3][0];
 106     v2.x = pm->u.m[0][1]; v2.y = pm->u.m[1][1]; v2.z = pm->u.m[2][1]; v2.w = pm->u.m[3][1];
 107     v3.x = pm->u.m[0][2]; v3.y = pm->u.m[1][2]; v3.z = pm->u.m[2][2]; v3.w = pm->u.m[3][2];
 108     D3DXVec4Cross(&minor, &v1, &v2, &v3);
 109     det =  - (pm->u.m[0][3] * minor.x + pm->u.m[1][3] * minor.y + pm->u.m[2][3] * minor.z + pm->u.m[3][3] * minor.w);
 110     return det;
 111 }
 112
 113 D3DXMATRIX* WINAPI D3DXMatrixInverse(D3DXMATRIX *pout, FLOAT *pdeterminant, CONST D3DXMATRIX *pm)
 114 {
 115     int a, i, j;
 116     D3DXVECTOR4 v, vec[3];
 117     FLOAT det;
 118
 119     det = D3DXMatrixfDeterminant(pm);
 120     if ( !det ) return NULL;
 121     if ( pdeterminant ) *pdeterminant = det;
 122     for (i=0; i<4; i++)
 123     {
 124      for (j=0; j<4; j++)
 125      {
 126       if (j != i )
 127       {
 128        a = j;
 129        if ( j > i ) a = a-1;
 130        vec[a].x = pm->u.m[j][0];
 131        vec[a].y = pm->u.m[j][1];
 132        vec[a].z = pm->u.m[j][2];
 133        vec[a].w = pm->u.m[j][3];
 134       }
 135      }
 136     D3DXVec4Cross(&v, &vec[0], &vec[1], &vec[2]);
 137     pout->u.m[0][i] = pow(-1.0f, i) * v.x / det;
 138     pout->u.m[1][i] = pow(-1.0f, i) * v.y / det;
 139     pout->u.m[2][i] = pow(-1.0f, i) * v.z / det;
 140     pout->u.m[3][i] = pow(-1.0f, i) * v.w / det;
 141    }
 142    return pout;
 143 }
 144
 145 D3DXMATRIX* WINAPI D3DXMatrixLookAtLH(D3DXMATRIX *pout, CONST D3DXVECTOR3 *peye, CONST D3DXVECTOR3 *pat, CONST D3DXVECTOR3 *pup)
 146 {
 147     D3DXVECTOR3 right, rightn, up, upn, vec, vec2;
 148
 149     D3DXVec3Subtract(&vec2, pat, peye);
 150     D3DXVec3Normalize(&vec, &vec2);
 151     D3DXVec3Cross(&right, pup, &vec);
 152     D3DXVec3Cross(&up, &vec, &right);
 153     D3DXVec3Normalize(&rightn, &right);
 154     D3DXVec3Normalize(&upn, &up);
 155     pout->u.m[0][0] = rightn.x;
 156     pout->u.m[1][0] = rightn.y;
 157     pout->u.m[2][0] = rightn.z;
 158     pout->u.m[3][0] = -D3DXVec3Dot(&rightn,peye);
 159     pout->u.m[0][1] = upn.x;
 160     pout->u.m[1][1] = upn.y;
 161     pout->u.m[2][1] = upn.z;
 162     pout->u.m[3][1] = -D3DXVec3Dot(&upn, peye);
 163     pout->u.m[0][2] = vec.x;
 164     pout->u.m[1][2] = vec.y;
 165     pout->u.m[2][2] = vec.z;
 166     pout->u.m[3][2] = -D3DXVec3Dot(&vec, peye);
 167     pout->u.m[0][3] = 0.0f;
 168     pout->u.m[1][3] = 0.0f;
 169     pout->u.m[2][3] = 0.0f;
 170     pout->u.m[3][3] = 1.0f;
 171     return pout;
 172 }
 173
 174 D3DXMATRIX* WINAPI D3DXMatrixLookAtRH(D3DXMATRIX *pout, CONST D3DXVECTOR3 *peye, CONST D3DXVECTOR3 *pat, CONST D3DXVECTOR3 *pup)
 175 {
 176     D3DXVECTOR3 right, rightn, up, upn, vec, vec2;
 177
 178     D3DXVec3Subtract(&vec2, pat, peye);
 179     D3DXVec3Normalize(&vec, &vec2);
 180     D3DXVec3Cross(&right, pup, &vec);
 181     D3DXVec3Cross(&up, &vec, &right);
 182     D3DXVec3Normalize(&rightn, &right);
 183     D3DXVec3Normalize(&upn, &up);
 184     pout->u.m[0][0] = -rightn.x;
 185     pout->u.m[1][0] = -rightn.y;
 186     pout->u.m[2][0] = -rightn.z;
 187     pout->u.m[3][0] = D3DXVec3Dot(&rightn,peye);
 188     pout->u.m[0][1] = upn.x;
 189     pout->u.m[1][1] = upn.y;
 190     pout->u.m[2][1] = upn.z;
 191     pout->u.m[3][1] = -D3DXVec3Dot(&upn, peye);
 192     pout->u.m[0][2] = -vec.x;
 193     pout->u.m[1][2] = -vec.y;
 194     pout->u.m[2][2] = -vec.z;
 195     pout->u.m[3][2] = D3DXVec3Dot(&vec, peye);
 196     pout->u.m[0][3] = 0.0f;
 197     pout->u.m[1][3] = 0.0f;
 198     pout->u.m[2][3] = 0.0f;
 199     pout->u.m[3][3] = 1.0f;
 200     return pout;
 201 }
 202
 203 D3DXMATRIX* WINAPI D3DXMatrixMultiply(D3DXMATRIX *pout, CONST D3DXMATRIX *pm1, CONST D3DXMATRIX *pm2)
 204 {
 205     D3DXMATRIX out;
 206     int i,j;
 207
 208     for (i=0; i<4; i++)
 209     {
 210      for (j=0; j<4; j++)
 211      {
 212       out.u.m[i][j] = pm1->u.m[i][0] * pm2->u.m[0][j] + pm1->u.m[i][1] * pm2->u.m[1][j] + pm1->u.m[i][2] * pm2->u.m[2][j] + pm1->u.m[i][3] * pm2->u.m[3][j];
 213      }
 214     }
 215     *pout = out;
 216     return pout;
 217 }
 218
 219 D3DXMATRIX* WINAPI D3DXMatrixMultiplyTranspose(D3DXMATRIX *pout, CONST D3DXMATRIX *pm1, CONST D3DXMATRIX *pm2)
 220 {
 221     D3DXMatrixMultiply(pout, pm1, pm2);
 222     D3DXMatrixTranspose(pout, pout);
 223     return pout;
 224 }
 225
 226 D3DXMATRIX* WINAPI D3DXMatrixOrthoLH(D3DXMATRIX *pout, FLOAT w, FLOAT h, FLOAT zn, FLOAT zf)
 227 {
 228     D3DXMatrixIdentity(pout);
 229     pout->u.m[0][0] = 2.0f / w;
 230     pout->u.m[1][1] = 2.0f / h;
 231     pout->u.m[2][2] = 1.0f / (zf - zn);
 232     pout->u.m[3][2] = zn / (zn - zf);
 233     return pout;
 234 }
 235
 236 D3DXMATRIX* WINAPI D3DXMatrixOrthoOffCenterLH(D3DXMATRIX *pout, FLOAT l, FLOAT r, FLOAT b, FLOAT t, FLOAT zn, FLOAT zf)
 237 {
 238     D3DXMatrixIdentity(pout);
 239     pout->u.m[0][0] = 2.0f / (r - l);
 240     pout->u.m[1][1] = 2.0f / (t - b);
 241     pout->u.m[2][2] = 1.0f / (zf -zn);
 242     pout->u.m[3][0] = -1.0f -2.0f *l / (r - l);
 243     pout->u.m[3][1] = 1.0f + 2.0f * t / (b - t);
 244     pout->u.m[3][2] = zn / (zn -zf);
 245     return pout;
 246 }
 247
 248 D3DXMATRIX* WINAPI D3DXMatrixOrthoOffCenterRH(D3DXMATRIX *pout, FLOAT l, FLOAT r, FLOAT b, FLOAT t, FLOAT zn, FLOAT zf)
 249 {
 250     D3DXMatrixIdentity(pout);
 251     pout->u.m[0][0] = 2.0f / (r - l);
 252     pout->u.m[1][1] = 2.0f / (t - b);
 253     pout->u.m[2][2] = 1.0f / (zn -zf);
 254     pout->u.m[3][0] = -1.0f -2.0f *l / (r - l);
 255     pout->u.m[3][1] = 1.0f + 2.0f * t / (b - t);
 256     pout->u.m[3][2] = zn / (zn -zf);
 257     return pout;
 258 }
 259
 260 D3DXMATRIX* WINAPI D3DXMatrixOrthoRH(D3DXMATRIX *pout, FLOAT w, FLOAT h, FLOAT zn, FLOAT zf)
 261 {
 262     D3DXMatrixIdentity(pout);
 263     pout->u.m[0][0] = 2.0f / w;
 264     pout->u.m[1][1] = 2.0f / h;
 265     pout->u.m[2][2] = 1.0f / (zn - zf);
 266     pout->u.m[3][2] = zn / (zn - zf);
 267     return pout;
 268 }
 269
 270 D3DXMATRIX* WINAPI D3DXMatrixPerspectiveFovLH(D3DXMATRIX *pout, FLOAT fovy, FLOAT aspect, FLOAT zn, FLOAT zf)
 271 {
 272     D3DXMatrixIdentity(pout);
 273     pout->u.m[0][0] = 1.0f / (aspect * tan(fovy/2.0f));
 274     pout->u.m[1][1] = 1.0f / tan(fovy/2.0f);
 275     pout->u.m[2][2] = zf / (zf - zn);
 276     pout->u.m[2][3] = 1.0f;
 277     pout->u.m[3][2] = (zf * zn) / (zn - zf);
 278     pout->u.m[3][3] = 0.0f;
 279     return pout;
 280 }
 281
 282 D3DXMATRIX* WINAPI D3DXMatrixPerspectiveFovRH(D3DXMATRIX *pout, FLOAT fovy, FLOAT aspect, FLOAT zn, FLOAT zf)
 283 {
 284     D3DXMatrixIdentity(pout);
 285     pout->u.m[0][0] = 1.0f / (aspect * tan(fovy/2.0f));
 286     pout->u.m[1][1] = 1.0f / tan(fovy/2.0f);
 287     pout->u.m[2][2] = zf / (zn - zf);
 288     pout->u.m[2][3] = -1.0f;
 289     pout->u.m[3][2] = (zf * zn) / (zn - zf);
 290     pout->u.m[3][3] = 0.0f;
 291     return pout;
 292 }
 293
 294 D3DXMATRIX* WINAPI D3DXMatrixPerspectiveLH(D3DXMATRIX *pout, FLOAT w, FLOAT h, FLOAT zn, FLOAT zf)
 295 {
 296     D3DXMatrixIdentity(pout);
 297     pout->u.m[0][0] = 2.0f * zn / w;
 298     pout->u.m[1][1] = 2.0f * zn / h;
 299     pout->u.m[2][2] = zf / (zf - zn);
 300     pout->u.m[3][2] = (zn * zf) / (zn - zf);
 301     pout->u.m[2][3] = 1.0f;
 302     pout->u.m[3][3] = 0.0f;
 303     return pout;
 304 }
 305
 306 D3DXMATRIX* WINAPI D3DXMatrixPerspectiveOffCenterLH(D3DXMATRIX *pout, FLOAT l, FLOAT r, FLOAT b, FLOAT t, FLOAT zn, FLOAT zf)
 307 {
 308     D3DXMatrixIdentity(pout);
 309     pout->u.m[0][0] = 2.0f * zn / (r - l);
 310     pout->u.m[1][1] = -2.0f * zn / (b - t);
 311     pout->u.m[2][0] = -1.0f - 2.0f * l / (r - l);
 312     pout->u.m[2][1] = 1.0f + 2.0f * t / (b - t);
 313     pout->u.m[2][2] = - zf / (zn - zf);
 314     pout->u.m[3][2] = (zn * zf) / (zn -zf);
 315     pout->u.m[2][3] = 1.0f;
 316     pout->u.m[3][3] = 0.0f;
 317     return pout;
 318 }
 319
 320 D3DXMATRIX* WINAPI D3DXMatrixPerspectiveOffCenterRH(D3DXMATRIX *pout, FLOAT l, FLOAT r, FLOAT b, FLOAT t, FLOAT zn, FLOAT zf)
 321 {
 322     D3DXMatrixIdentity(pout);
 323     pout->u.m[0][0] = 2.0f * zn / (r - l);
 324     pout->u.m[1][1] = -2.0f * zn / (b - t);
 325     pout->u.m[2][0] = 1.0f + 2.0f * l / (r - l);
 326     pout->u.m[2][1] = -1.0f -2.0f * t / (b - t);
 327     pout->u.m[2][2] = zf / (zn - zf);
 328     pout->u.m[3][2] = (zn * zf) / (zn -zf);
 329     pout->u.m[2][3] = -1.0f;
 330     pout->u.m[3][3] = 0.0f;
 331     return pout;
 332 }
 333
 334 D3DXMATRIX* WINAPI D3DXMatrixPerspectiveRH(D3DXMATRIX *pout, FLOAT w, FLOAT h, FLOAT zn, FLOAT zf)
 335 {
 336     D3DXMatrixIdentity(pout);
 337     pout->u.m[0][0] = 2.0f * zn / w;
 338     pout->u.m[1][1] = 2.0f * zn / h;
 339     pout->u.m[2][2] = zf / (zn - zf);
 340     pout->u.m[3][2] = (zn * zf) / (zn - zf);
 341     pout->u.m[2][3] = -1.0f;
 342     pout->u.m[3][3] = 0.0f;
 343     return pout;
 344 }
 345
 346 D3DXMATRIX* WINAPI D3DXMatrixReflect(D3DXMATRIX *pout, CONST D3DXPLANE *pplane)
 347 {
 348     D3DXPLANE Nplane;
 349
 350     D3DXPlaneNormalize(&Nplane, pplane);
 351     D3DXMatrixIdentity(pout);
 352     pout->u.m[0][0] = 1.0f - 2.0f * Nplane.a * Nplane.a;
 353     pout->u.m[0][1] = -2.0f * Nplane.a * Nplane.b;
 354     pout->u.m[0][2] = -2.0f * Nplane.a * Nplane.c;
 355     pout->u.m[1][0] = -2.0f * Nplane.a * Nplane.b;
 356     pout->u.m[1][1] = 1.0f - 2.0f * Nplane.b * Nplane.b;
 357     pout->u.m[1][2] = -2.0f * Nplane.b * Nplane.c;
 358     pout->u.m[2][0] = -2.0f * Nplane.c * Nplane.a;
 359     pout->u.m[2][1] = -2.0f * Nplane.c * Nplane.b;
 360     pout->u.m[2][2] = 1.0f - 2.0f * Nplane.c * Nplane.c;
 361     pout->u.m[3][0] = -2.0f * Nplane.d * Nplane.a;
 362     pout->u.m[3][1] = -2.0f * Nplane.d * Nplane.b;
 363     pout->u.m[3][2] = -2.0f * Nplane.d * Nplane.c;
 364     return pout;
 365 }
 366
 367 D3DXMATRIX* WINAPI D3DXMatrixRotationAxis(D3DXMATRIX *pout, CONST D3DXVECTOR3 *pv, FLOAT angle)
 368 {
 369     D3DXVECTOR3 v;
 370
 371     D3DXVec3Normalize(&v,pv);
 372     D3DXMatrixIdentity(pout);
 373     pout->u.m[0][0] = (1.0f - cos(angle)) * v.x * v.x + cos(angle);
 374     pout->u.m[1][0] = (1.0f - cos(angle)) * v.x * v.y - sin(angle) * v.z;
 375     pout->u.m[2][0] = (1.0f - cos(angle)) * v.x * v.z + sin(angle) * v.y;
 376     pout->u.m[0][1] = (1.0f - cos(angle)) * v.y * v.x + sin(angle) * v.z;
 377     pout->u.m[1][1] = (1.0f - cos(angle)) * v.y * v.y + cos(angle);
 378     pout->u.m[2][1] = (1.0f - cos(angle)) * v.y * v.z - sin(angle) * v.x;
 379     pout->u.m[0][2] = (1.0f - cos(angle)) * v.z * v.x - sin(angle) * v.y;
 380     pout->u.m[1][2] = (1.0f - cos(angle)) * v.z * v.y + sin(angle) * v.x;
 381     pout->u.m[2][2] = (1.0f - cos(angle)) * v.z * v.z + cos(angle);
 382     return pout;
 383 }
 384
 385 D3DXMATRIX* WINAPI D3DXMatrixRotationQuaternion(D3DXMATRIX *pout, CONST D3DXQUATERNION *pq)
 386 {
 387     D3DXMatrixIdentity(pout);
 388     pout->u.m[0][0] = 1.0f - 2.0f * (pq->y * pq->y + pq->z * pq->z);
 389     pout->u.m[0][1] = 2.0f * (pq->x *pq->y + pq->z * pq->w);
 390     pout->u.m[0][2] = 2.0f * (pq->x * pq->z - pq->y * pq->w);
 391     pout->u.m[1][0] = 2.0f * (pq->x * pq->y - pq->z * pq->w);
 392     pout->u.m[1][1] = 1.0f - 2.0f * (pq->x * pq->x + pq->z * pq->z);
 393     pout->u.m[1][2] = 2.0f * (pq->y *pq->z + pq->x *pq->w);
 394     pout->u.m[2][0] = 2.0f * (pq->x * pq->z + pq->y * pq->w);
 395     pout->u.m[2][1] = 2.0f * (pq->y *pq->z - pq->x *pq->w);
 396     pout->u.m[2][2] = 1.0f - 2.0f * (pq->x * pq->x + pq->y * pq->y);
 397     return pout;
 398 }
 399
 400 D3DXMATRIX* WINAPI D3DXMatrixRotationX(D3DXMATRIX *pout, FLOAT angle)
 401 {
 402     D3DXMatrixIdentity(pout);
 403     pout->u.m[1][1] = cos(angle);
 404     pout->u.m[2][2] = cos(angle);
 405     pout->u.m[1][2] = sin(angle);
 406     pout->u.m[2][1] = -sin(angle);
 407     return pout;
 408 }
 409
 410 D3DXMATRIX* WINAPI D3DXMatrixRotationY(D3DXMATRIX *pout, FLOAT angle)
 411 {
 412     D3DXMatrixIdentity(pout);
 413     pout->u.m[0][0] = cos(angle);
 414     pout->u.m[2][2] = cos(angle);
 415     pout->u.m[0][2] = -sin(angle);
 416     pout->u.m[2][0] = sin(angle);
 417     return pout;
 418 }
 419
 420 D3DXMATRIX* WINAPI D3DXMatrixRotationYawPitchRoll(D3DXMATRIX *pout, FLOAT yaw, FLOAT pitch, FLOAT roll)
 421 {
 422     D3DXMATRIX m;
 423
 424     D3DXMatrixIdentity(pout);
 425     D3DXMatrixRotationZ(&m, roll);
 426     D3DXMatrixMultiply(pout, pout, &m);
 427     D3DXMatrixRotationX(&m, pitch);
 428     D3DXMatrixMultiply(pout, pout, &m);
 429     D3DXMatrixRotationY(&m, yaw);
 430     D3DXMatrixMultiply(pout, pout, &m);
 431     return pout;
 432 }
 433 D3DXMATRIX* WINAPI D3DXMatrixRotationZ(D3DXMATRIX *pout, FLOAT angle)
 434 {
 435     D3DXMatrixIdentity(pout);
 436     pout->u.m[0][0] = cos(angle);
 437     pout->u.m[1][1] = cos(angle);
 438     pout->u.m[0][1] = sin(angle);
 439     pout->u.m[1][0] = -sin(angle);
 440     return pout;
 441 }
 442
 443 D3DXMATRIX* WINAPI D3DXMatrixScaling(D3DXMATRIX *pout, FLOAT sx, FLOAT sy, FLOAT sz)
 444 {
 445     D3DXMatrixIdentity(pout);
 446     pout->u.m[0][0] = sx;
 447     pout->u.m[1][1] = sy;
 448     pout->u.m[2][2] = sz;
 449     return pout;
 450 }
 451
 452 D3DXMATRIX* WINAPI D3DXMatrixShadow(D3DXMATRIX *pout, CONST D3DXVECTOR4 *plight, CONST D3DXPLANE *pplane)
 453 {
 454     D3DXPLANE Nplane;
 455     FLOAT dot;
 456
 457     D3DXPlaneNormalize(&Nplane, pplane);
 458     dot = D3DXPlaneDot(&Nplane, plight);
 459     pout->u.m[0][0] = dot - Nplane.a * plight->x;
 460     pout->u.m[0][1] = -Nplane.a * plight->y;
 461     pout->u.m[0][2] = -Nplane.a * plight->z;
 462     pout->u.m[0][3] = -Nplane.a * plight->w;
 463     pout->u.m[1][0] = -Nplane.b * plight->x;
 464     pout->u.m[1][1] = dot - Nplane.b * plight->y;
 465     pout->u.m[1][2] = -Nplane.b * plight->z;
 466     pout->u.m[1][3] = -Nplane.b * plight->w;
 467     pout->u.m[2][0] = -Nplane.c * plight->x;
 468     pout->u.m[2][1] = -Nplane.c * plight->y;
 469     pout->u.m[2][2] = dot - Nplane.c * plight->z;
 470     pout->u.m[2][3] = -Nplane.c * plight->w;
 471     pout->u.m[3][0] = -Nplane.d * plight->x;
 472     pout->u.m[3][1] = -Nplane.d * plight->y;
 473     pout->u.m[3][2] = -Nplane.d * plight->z;
 474     pout->u.m[3][3] = dot - Nplane.d * plight->w;
 475     return pout;
 476 }
 477
 478 D3DXMATRIX* WINAPI D3DXMatrixTransformation(D3DXMATRIX *pout, CONST D3DXVECTOR3 *pscalingcenter, CONST D3DXQUATERNION *pscalingrotation, CONST D3DXVECTOR3 *pscaling, CONST D3DXVECTOR3 *protationcenter, CONST D3DXQUATERNION *protation, CONST D3DXVECTOR3 *ptranslation)
 479 {
 480     D3DXMATRIX m1, m2, m3, m4, m5, m6, m7;
 481     D3DXQUATERNION prc;
 482     D3DXVECTOR3 psc, pt;
 483
 484     if ( !pscalingcenter )
 485     {
 486      psc.x = 0.0f;
 487      psc.y = 0.0f;
 488      psc.z = 0.0f;
 489     }
 490     else
 491     {
 492      psc.x = pscalingcenter->x;
 493      psc.y = pscalingcenter->y;
 494      psc.z = pscalingcenter->z;
 495     }
 496     if ( !protationcenter )
 497     {
 498      prc.x = 0.0f;
 499      prc.y = 0.0f;
 500      prc.z = 0.0f;
 501     }
 502     else
 503     {
 504      prc.x = protationcenter->x;
 505      prc.y = protationcenter->y;
 506      prc.z = protationcenter->z;
 507     }
 508     if ( !ptranslation )
 509     {
 510      pt.x = 0.0f;
 511      pt.y = 0.0f;
 512      pt.z = 0.0f;
 513     }
 514     else
 515     {
 516      pt.x = ptranslation->x;
 517      pt.y = ptranslation->y;
 518      pt.z = ptranslation->z;
 519     }
 520     D3DXMatrixTranslation(&m1, -psc.x, -psc.y, -psc.z);
 521     if ( !pscalingrotation )
 522     {
 523      D3DXMatrixIdentity(&m2);
 524      D3DXMatrixIdentity(&m4);
 525     }
 526     else
 527     {
 528      D3DXMatrixRotationQuaternion(&m4, pscalingrotation);
 529      D3DXMatrixInverse(&m2, NULL, &m4);
 530     }
 531     if ( !pscaling )
 532     {
 533      D3DXMatrixIdentity(&m3);
 534     }
 535     else
 536     {
 537     D3DXMatrixScaling(&m3, pscaling->x, pscaling->y, pscaling->z);
 538     }
 539     if ( !protation )
 540     {
 541      D3DXMatrixIdentity(&m6);
 542     }
 543     else
 544     {
 545      D3DXMatrixRotationQuaternion(&m6, protation);
 546     }
 547     D3DXMatrixTranslation(&m5, psc.x - prc.x,  psc.y - prc.y,  psc.z - prc.z);
 548     D3DXMatrixTranslation(&m7, prc.x + pt.x, prc.y + pt.y, prc.z + pt.z);
 549     D3DXMatrixMultiply(&m1, &m1, &m2);
 550     D3DXMatrixMultiply(&m1, &m1, &m3);
 551     D3DXMatrixMultiply(&m1, &m1, &m4);
 552     D3DXMatrixMultiply(&m1, &m1, &m5);
 553     D3DXMatrixMultiply(&m1, &m1, &m6);
 554     D3DXMatrixMultiply(pout, &m1, &m7);
 555     return pout;
 556 }
 557
 558 D3DXMATRIX* WINAPI D3DXMatrixTranslation(D3DXMATRIX *pout, FLOAT x, FLOAT y, FLOAT z)
 559 {
 560     D3DXMatrixIdentity(pout);
 561     pout->u.m[3][0] = x;
 562     pout->u.m[3][1] = y;
 563     pout->u.m[3][2] = z;
 564     return pout;
 565 }
 566
 567 D3DXMATRIX* WINAPI D3DXMatrixTranspose(D3DXMATRIX *pout, CONST D3DXMATRIX *pm)
 568 {
 569     CONST D3DXMATRIX m = *pm;
 570     int i,j;
 571
 572     for (i=0; i<4; i++)
 573     {
 574      for (j=0; j<4; j++)
 575      {
 576       pout->u.m[i][j] = m.u.m[j][i];
 577      }
 578     }
 579     return pout;
 580 }
 581
 582 /*_________________D3DXMatrixStack____________________*/
 583
 584 static const unsigned int INITIAL_STACK_SIZE = 32;
 585
 586 HRESULT WINAPI D3DXCreateMatrixStack(DWORD flags, LPD3DXMATRIXSTACK* ppstack)
 587 {
 588     ID3DXMatrixStackImpl* object;
 589
 590     TRACE("flags %#x, ppstack %p\n", flags, ppstack);
 591
 592     object = HeapAlloc(GetProcessHeap(), HEAP_ZERO_MEMORY, sizeof(ID3DXMatrixStackImpl));
 593     if ( object == NULL )
 594     {
 595      *ppstack = NULL;
 596      return E_OUTOFMEMORY;
 597     }
 598     object->lpVtbl = &ID3DXMatrixStack_Vtbl;
 599     object->ref = 1;
 600
 601     object->stack = HeapAlloc(GetProcessHeap(), 0, INITIAL_STACK_SIZE * sizeof(D3DXMATRIX));
 602     if (!object->stack)
 603     {
 604         HeapFree(GetProcessHeap(), 0, object);
 605         *ppstack = NULL;
 606         return E_OUTOFMEMORY;
 607     }
 608
 609     object->current = 0;
 610     object->stack_size = INITIAL_STACK_SIZE;
 611     D3DXMatrixIdentity(&object->stack[0]);
 612
 613     TRACE("Created matrix stack %p\n", object);
 614
 615     *ppstack = (LPD3DXMATRIXSTACK)object;
 616     return D3D_OK;
 617 }
 618
 619 static HRESULT WINAPI ID3DXMatrixStackImpl_QueryInterface(ID3DXMatrixStack *iface, REFIID riid, void **ppobj)
 620 {
 621     ID3DXMatrixStackImpl *This = (ID3DXMatrixStackImpl *)iface;
 622     if (IsEqualGUID(riid, &IID_IUnknown) || IsEqualGUID(riid, &IID_ID3DXMatrixStack))
 623     {
 624      ID3DXMatrixStack_AddRef(iface);
 625      *ppobj = This;
 626      return S_OK;
 627     }
 628     *ppobj = NULL;
 629     ERR("(%p)->(%s,%p),not found\n",This,debugstr_guid(riid),ppobj);
 630     return E_NOINTERFACE;
 631 }
 632
 633 static ULONG WINAPI ID3DXMatrixStackImpl_AddRef(ID3DXMatrixStack *iface)
 634 {
 635     ID3DXMatrixStackImpl *This = (ID3DXMatrixStackImpl *)iface;
 636     ULONG ref = InterlockedIncrement(&This->ref);
 637     TRACE("(%p) : AddRef from %d\n", This, ref - 1);
 638     return ref;
 639 }
 640
 641 static ULONG WINAPI ID3DXMatrixStackImpl_Release(ID3DXMatrixStack* iface)
 642 {
 643     ID3DXMatrixStackImpl *This = (ID3DXMatrixStackImpl *)iface;
 644     ULONG ref = InterlockedDecrement(&This->ref);
 645     if (!ref)
 646     {
 647         HeapFree(GetProcessHeap(), 0, This->stack);
 648         HeapFree(GetProcessHeap(), 0, This);
 649     }
 650     TRACE("(%p) : ReleaseRef to %d\n", This, ref);
 651     return ref;
 652 }
 653
 654 static D3DXMATRIX* WINAPI ID3DXMatrixStackImpl_GetTop(ID3DXMatrixStack *iface)
 655 {
 656     ID3DXMatrixStackImpl *This = (ID3DXMatrixStackImpl *)iface;
 657
 658     TRACE("iface %p\n", iface);
 659
 660     return &This->stack[This->current];
 661 }
 662
 663 static HRESULT WINAPI ID3DXMatrixStackImpl_LoadIdentity(ID3DXMatrixStack *iface)
 664 {
 665     ID3DXMatrixStackImpl *This = (ID3DXMatrixStackImpl *)iface;
 666
 667     TRACE("iface %p\n", iface);
 668
 669     D3DXMatrixIdentity(&This->stack[This->current]);
 670
 671     return D3D_OK;
 672 }
 673
 674 static HRESULT WINAPI ID3DXMatrixStackImpl_LoadMatrix(ID3DXMatrixStack *iface, CONST D3DXMATRIX *pm)
 675 {
 676     ID3DXMatrixStackImpl *This = (ID3DXMatrixStackImpl *)iface;
 677
 678     TRACE("iface %p\n", iface);
 679
 680     if (!pm) return D3DERR_INVALIDCALL;
 681     This->stack[This->current] = *pm;
 682
 683     return D3D_OK;
 684 }
 685
 686 static HRESULT WINAPI ID3DXMatrixStackImpl_MultMatrix(ID3DXMatrixStack *iface, CONST D3DXMATRIX *pm)
 687 {
 688     ID3DXMatrixStackImpl *This = (ID3DXMatrixStackImpl *)iface;
 689     FIXME("(%p) : stub\n",This);
 690     return E_NOTIMPL;
 691 }
 692
 693 static HRESULT WINAPI ID3DXMatrixStackImpl_MultMatrixLocal(ID3DXMatrixStack *iface, CONST D3DXMATRIX *pm)
 694 {
 695     ID3DXMatrixStackImpl *This = (ID3DXMatrixStackImpl *)iface;
 696     FIXME("(%p) : stub\n",This);
 697     return E_NOTIMPL;
 698 }
 699
 700 static HRESULT WINAPI ID3DXMatrixStackImpl_Pop(ID3DXMatrixStack *iface)
 701 {
 702     ID3DXMatrixStackImpl *This = (ID3DXMatrixStackImpl *)iface;
 703
 704     TRACE("iface %p\n", iface);
 705
 706     /* Popping the last element on the stack returns D3D_OK, but does nothing. */
 707     if (!This->current) return D3D_OK;
 708
 709     if (This->current <= This->stack_size / 4 && This->stack_size >= INITIAL_STACK_SIZE * 2)
 710     {
 711         unsigned int new_size;
 712         D3DXMATRIX *new_stack;
 713
 714         new_size = This->stack_size / 2;
 715         new_stack = HeapReAlloc(GetProcessHeap(), 0, This->stack, new_size * sizeof(D3DXMATRIX));
 716         if (new_stack)
 717         {
 718             This->stack_size = new_size;
 719             This->stack = new_stack;
 720         }
 721     }
 722
 723     --This->current;
 724
 725     return D3D_OK;
 726 }
 727
 728 static HRESULT WINAPI ID3DXMatrixStackImpl_Push(ID3DXMatrixStack *iface)
 729 {
 730     ID3DXMatrixStackImpl *This = (ID3DXMatrixStackImpl *)iface;
 731
 732     TRACE("iface %p\n", iface);
 733
 734     if (This->current == This->stack_size - 1)
 735     {
 736         unsigned int new_size;
 737         D3DXMATRIX *new_stack;
 738
 739         if (This->stack_size > UINT_MAX / 2) return E_OUTOFMEMORY;
 740
 741         new_size = This->stack_size * 2;
 742         new_stack = HeapReAlloc(GetProcessHeap(), 0, This->stack, new_size * sizeof(D3DXMATRIX));
 743         if (!new_stack) return E_OUTOFMEMORY;
 744
 745         This->stack_size = new_size;
 746         This->stack = new_stack;
 747     }
 748
 749     ++This->current;
 750     This->stack[This->current] = This->stack[This->current - 1];
 751
 752     return D3D_OK;
 753 }
 754
 755 static HRESULT WINAPI ID3DXMatrixStackImpl_RotateAxis(ID3DXMatrixStack *iface, CONST D3DXVECTOR3 *pv, FLOAT angle)
 756 {
 757     ID3DXMatrixStackImpl *This = (ID3DXMatrixStackImpl *)iface;
 758     FIXME("(%p) : stub\n",This);
 759     return E_NOTIMPL;
 760 }
 761
 762 static HRESULT WINAPI ID3DXMatrixStackImpl_RotateAxisLocal(ID3DXMatrixStack *iface, CONST D3DXVECTOR3 *pv, FLOAT angle)
 763 {
 764     ID3DXMatrixStackImpl *This = (ID3DXMatrixStackImpl *)iface;
 765     FIXME("(%p) : stub\n",This);
 766     return E_NOTIMPL;
 767 }
 768
 769 static HRESULT WINAPI ID3DXMatrixStackImpl_RotateYawPitchRoll(ID3DXMatrixStack *iface, FLOAT x, FLOAT y, FLOAT z)
 770 {
 771     ID3DXMatrixStackImpl *This = (ID3DXMatrixStackImpl *)iface;
 772     FIXME("(%p) : stub\n",This);
 773     return E_NOTIMPL;
 774 }
 775
 776 static HRESULT WINAPI ID3DXMatrixStackImpl_RotateYawPitchRollLocal(ID3DXMatrixStack *iface, FLOAT x, FLOAT y, FLOAT z)
 777 {
 778     ID3DXMatrixStackImpl *This = (ID3DXMatrixStackImpl *)iface;
 779     FIXME("(%p) : stub\n",This);
 780     return E_NOTIMPL;
 781 }
 782
 783 static HRESULT WINAPI ID3DXMatrixStackImpl_Scale(ID3DXMatrixStack *iface, FLOAT x, FLOAT y, FLOAT z)
 784 {
 785     ID3DXMatrixStackImpl *This = (ID3DXMatrixStackImpl *)iface;
 786     FIXME("(%p) : stub\n",This);
 787     return E_NOTIMPL;
 788 }
 789
 790 static HRESULT WINAPI ID3DXMatrixStackImpl_ScaleLocal(ID3DXMatrixStack *iface, FLOAT x, FLOAT y, FLOAT z)
 791 {
 792     ID3DXMatrixStackImpl *This = (ID3DXMatrixStackImpl *)iface;
 793     FIXME("(%p) : stub\n",This);
 794     return E_NOTIMPL;
 795 }
 796
 797 static HRESULT WINAPI ID3DXMatrixStackImpl_Translate(ID3DXMatrixStack *iface, FLOAT x, FLOAT y, FLOAT z)
 798 {
 799     ID3DXMatrixStackImpl *This = (ID3DXMatrixStackImpl *)iface;
 800     FIXME("(%p) : stub\n",This);
 801     return E_NOTIMPL;
 802 }
 803
 804 static HRESULT WINAPI ID3DXMatrixStackImpl_TranslateLocal(ID3DXMatrixStack *iface, FLOAT x, FLOAT y, FLOAT z)
 805 {
 806     ID3DXMatrixStackImpl *This = (ID3DXMatrixStackImpl *)iface;
 807     FIXME("(%p) : stub\n",This);
 808     return E_NOTIMPL;
 809 }
 810
 811 static const ID3DXMatrixStackVtbl ID3DXMatrixStack_Vtbl =
 812 {
 813     ID3DXMatrixStackImpl_QueryInterface,
 814     ID3DXMatrixStackImpl_AddRef,
 815     ID3DXMatrixStackImpl_Release,
 816     ID3DXMatrixStackImpl_Pop,
 817     ID3DXMatrixStackImpl_Push,
 818     ID3DXMatrixStackImpl_LoadIdentity,
 819     ID3DXMatrixStackImpl_LoadMatrix,
 820     ID3DXMatrixStackImpl_MultMatrix,
 821     ID3DXMatrixStackImpl_MultMatrixLocal,
 822     ID3DXMatrixStackImpl_RotateAxis,
 823     ID3DXMatrixStackImpl_RotateAxisLocal,
 824     ID3DXMatrixStackImpl_RotateYawPitchRoll,
 825     ID3DXMatrixStackImpl_RotateYawPitchRollLocal,
 826     ID3DXMatrixStackImpl_Scale,
 827     ID3DXMatrixStackImpl_ScaleLocal,
 828     ID3DXMatrixStackImpl_Translate,
 829     ID3DXMatrixStackImpl_TranslateLocal,
 830     ID3DXMatrixStackImpl_GetTop
 831 };
 832
 833 /*_________________D3DXPLANE________________*/
 834
 835 D3DXPLANE* WINAPI D3DXPlaneFromPointNormal(D3DXPLANE *pout, CONST D3DXVECTOR3 *pvpoint, CONST D3DXVECTOR3 *pvnormal)
 836 {
 837     pout->a = pvnormal->x;
 838     pout->b = pvnormal->y;
 839     pout->c = pvnormal->z;
 840     pout->d = -D3DXVec3Dot(pvpoint, pvnormal);
 841     return pout;
 842 }
 843
 844 D3DXPLANE* WINAPI D3DXPlaneFromPoints(D3DXPLANE *pout, CONST D3DXVECTOR3 *pv1, CONST D3DXVECTOR3 *pv2, CONST D3DXVECTOR3 *pv3)
 845 {
 846     D3DXVECTOR3 edge1, edge2, normal, Nnormal;
 847
 848     edge1.x = 0.0f; edge1.y = 0.0f; edge1.z = 0.0f;
 849     edge2.x = 0.0f; edge2.y = 0.0f; edge2.z = 0.0f;
 850     D3DXVec3Subtract(&edge1, pv2, pv1);
 851     D3DXVec3Subtract(&edge2, pv3, pv1);
 852     D3DXVec3Cross(&normal, &edge1, &edge2);
 853     D3DXVec3Normalize(&Nnormal, &normal);
 854     D3DXPlaneFromPointNormal(pout, pv1, &Nnormal);
 855     return pout;
 856 }
 857
 858 D3DXVECTOR3* WINAPI D3DXPlaneIntersectLine(D3DXVECTOR3 *pout, CONST D3DXPLANE *pp, CONST D3DXVECTOR3 *pv1, CONST D3DXVECTOR3 *pv2)
 859 {
 860     D3DXVECTOR3 direction, normal;
 861     FLOAT dot, temp;
 862
 863     normal.x = pp->a;
 864     normal.y = pp->b;
 865     normal.z = pp->c;
 866     direction.x = pv2->x - pv1->x;
 867     direction.y = pv2->y - pv1->y;
 868     direction.z = pv2->z - pv1->z;
 869     dot = D3DXVec3Dot(&normal, &direction);
 870     if ( !dot ) return NULL;
 871     temp = ( pp->d + D3DXVec3Dot(&normal, pv1) ) / dot;
 872     pout->x = pv1->x - temp * direction.x;
 873     pout->y = pv1->y - temp * direction.y;
 874     pout->z = pv1->z - temp * direction.z;
 875     return pout;
 876 }
 877
 878 D3DXPLANE* WINAPI D3DXPlaneNormalize(D3DXPLANE *pout, CONST D3DXPLANE *pp)
 879 {
 880     FLOAT norm;
 881
 882     norm = sqrt(pp->a * pp->a + pp->b * pp->b + pp->c * pp->c);
 883     if ( norm )
 884     {
 885      pout->a = pp->a / norm;
 886      pout->b = pp->b / norm;
 887      pout->c = pp->c / norm;
 888      pout->d = pp->d / norm;
 889     }
 890     else
 891     {
 892      pout->a = 0.0f;
 893      pout->b = 0.0f;
 894      pout->c = 0.0f;
 895      pout->d = 0.0f;
 896     }
 897     return pout;
 898 }
 899
 900 D3DXPLANE* WINAPI D3DXPlaneTransform(D3DXPLANE *pout, CONST D3DXPLANE *pplane, CONST D3DXMATRIX *pm)
 901 {
 902     CONST D3DXPLANE plane = *pplane;
 903     pout->a = pm->u.m[0][0] * plane.a + pm->u.m[1][0] * plane.b + pm->u.m[2][0] * plane.c + pm->u.m[3][0] * plane.d;
 904     pout->b = pm->u.m[0][1] * plane.a + pm->u.m[1][1] * plane.b + pm->u.m[2][1] * plane.c + pm->u.m[3][1] * plane.d;
 905     pout->c = pm->u.m[0][2] * plane.a + pm->u.m[1][2] * plane.b + pm->u.m[2][2] * plane.c + pm->u.m[3][2] * plane.d;
 906     pout->d = pm->u.m[0][3] * plane.a + pm->u.m[1][3] * plane.b + pm->u.m[2][3] * plane.c + pm->u.m[3][3] * plane.d;
 907     return pout;
 908 }
 909
 910 /*_________________D3DXQUATERNION________________*/
 911
 912 D3DXQUATERNION* WINAPI D3DXQuaternionBaryCentric(D3DXQUATERNION *pout, CONST D3DXQUATERNION *pq1, CONST D3DXQUATERNION *pq2, CONST D3DXQUATERNION *pq3, FLOAT f, FLOAT g)
 913 {
 914     D3DXQUATERNION temp1, temp2;
 915     D3DXQuaternionSlerp(pout, D3DXQuaternionSlerp(&temp1, pq1, pq2, f + g), D3DXQuaternionSlerp(&temp2, pq1, pq3, f+g), g / (f + g));
 916     return pout;
 917 }
 918
 919 D3DXQUATERNION* WINAPI D3DXQuaternionExp(D3DXQUATERNION *pout, CONST D3DXQUATERNION *pq)
 920 {
 921     FLOAT norm;
 922
 923     norm = sqrt(pq->x * pq->x + pq->y * pq->y + pq->z * pq->z);
 924     if (norm )
 925     {
 926      pout->x = sin(norm) * pq->x / norm;
 927      pout->y = sin(norm) * pq->y / norm;
 928      pout->z = sin(norm) * pq->z / norm;
 929      pout->w = cos(norm);
 930     }
 931     else
 932     {
 933      pout->x = 0.0f;
 934      pout->y = 0.0f;
 935      pout->z = 0.0f;
 936      pout->w = 1.0f;
 937     }
 938     return pout;
 939 }
 940
 941 D3DXQUATERNION* WINAPI D3DXQuaternionInverse(D3DXQUATERNION *pout, CONST D3DXQUATERNION *pq)
 942 {
 943     D3DXQUATERNION temp;
 944     FLOAT norm;
 945
 946     temp.x = 0.0f;
 947     temp.y = 0.0f;
 948     temp.z = 0.0f;
 949     temp.w = 0.0f;
 950
 951     norm = D3DXQuaternionLengthSq(pq);
 952     if ( !norm )
 953     {
 954      pout->x = 0.0f;
 955      pout->y = 0.0f;
 956      pout->z = 0.0f;
 957      pout->w = 0.0f;
 958     }
 959     else
 960     {
 961     D3DXQuaternionConjugate(&temp, pq);
 962     pout->x = temp.x / norm;
 963     pout->y = temp.y / norm;
 964     pout->z = temp.z / norm;
 965     pout->w = temp.w / norm;
 966     }
 967     return pout;
 968 }
 969
 970 D3DXQUATERNION* WINAPI D3DXQuaternionLn(D3DXQUATERNION *pout, CONST D3DXQUATERNION *pq)
 971 {
 972     FLOAT norm, normvec, theta;
 973
 974     norm = D3DXQuaternionLengthSq(pq);
 975     if ( norm > 1.0001f )
 976     {
 977      pout->x = pq->x;
 978      pout->y = pq->y;
 979      pout->z = pq->z;
 980      pout->w = 0.0f;
 981     }
 982     else if( norm > 0.99999f)
 983     {
 984      normvec = sqrt( pq->x * pq->x + pq->y * pq->y + pq->z * pq->z );
 985      theta = atan2(normvec, pq->w) / normvec;
 986      pout->x = theta * pq->x;
 987      pout->y = theta * pq->y;
 988      pout->z = theta * pq->z;
 989      pout->w = 0.0f;
 990     }
 991     else
 992     {
 993      FIXME("The quaternion (%f, %f, %f, %f) has a norm <1. This should not happen. Windows returns a result anyway. This case is not implemented yet.\n", pq->x, pq->y, pq->z, pq->w);
 994     }
 995     return pout;
 996 }
 997
 998 D3DXQUATERNION* WINAPI D3DXQuaternionMultiply(D3DXQUATERNION *pout, CONST D3DXQUATERNION *pq1, CONST D3DXQUATERNION *pq2)
 999 {
1000     D3DXQUATERNION out;
1001     out.x = pq2->w * pq1->x + pq2->x * pq1->w + pq2->y * pq1->z - pq2->z * pq1->y;
1002     out.y = pq2->w * pq1->y - pq2->x * pq1->z + pq2->y * pq1->w + pq2->z * pq1->x;
1003     out.z = pq2->w * pq1->z + pq2->x * pq1->y - pq2->y * pq1->x + pq2->z * pq1->w;
1004     out.w = pq2->w * pq1->w - pq2->x * pq1->x - pq2->y * pq1->y - pq2->z * pq1->z;
1005     *pout = out;
1006     return pout;
1007 }
1008
1009 D3DXQUATERNION* WINAPI D3DXQuaternionNormalize(D3DXQUATERNION *pout, CONST D3DXQUATERNION *pq)
1010 {
1011     FLOAT norm;
1012
1013     norm = D3DXQuaternionLength(pq);
1014     if ( !norm )
1015     {
1016      pout->x = 0.0f;
1017      pout->y = 0.0f;
1018      pout->z = 0.0f;
1019      pout->w = 0.0f;
1020     }
1021     else
1022     {
1023      pout->x = pq->x / norm;
1024      pout->y = pq->y / norm;
1025      pout->z = pq->z / norm;
1026      pout->w = pq->w / norm;
1027     }
1028     return pout;
1029 }
1030
1031 D3DXQUATERNION* WINAPI D3DXQuaternionRotationAxis(D3DXQUATERNION *pout, CONST D3DXVECTOR3 *pv, FLOAT angle)
1032 {
1033     D3DXVECTOR3 temp;
1034
1035     D3DXVec3Normalize(&temp, pv);
1036     pout->x = sin( angle / 2.0f ) * temp.x;
1037     pout->y = sin( angle / 2.0f ) * temp.y;
1038     pout->z = sin( angle / 2.0f ) * temp.z;
1039     pout->w = cos( angle / 2.0f );
1040     return pout;
1041 }
1042
1043 D3DXQUATERNION* WINAPI D3DXQuaternionRotationMatrix(D3DXQUATERNION *pout, CONST D3DXMATRIX *pm)
1044 {
1045     int i, maxi;
1046     FLOAT maxdiag, S, trace;
1047
1048     trace = pm->u.m[0][0] + pm->u.m[1][1] + pm->u.m[2][2] + 1.0f;
1049     if ( trace > 1.0f)
1050     {
1051      pout->x = ( pm->u.m[1][2] - pm->u.m[2][1] ) / ( 2.0f * sqrt(trace) );
1052      pout->y = ( pm->u.m[2][0] - pm->u.m[0][2] ) / ( 2.0f * sqrt(trace) );
1053      pout->z = ( pm->u.m[0][1] - pm->u.m[1][0] ) / ( 2.0f * sqrt(trace) );
1054      pout->w = sqrt(trace) / 2.0f;
1055      return pout;
1056      }
1057     maxi = 0;
1058     maxdiag = pm->u.m[0][0];
1059     for (i=1; i<3; i++)
1060     {
1061      if ( pm->u.m[i][i] > maxdiag )
1062      {
1063       maxi = i;
1064       maxdiag = pm->u.m[i][i];
1065      }
1066     }
1067     switch( maxi )
1068     {
1069      case 0:
1070        S = 2.0f * sqrt(1.0f + pm->u.m[0][0] - pm->u.m[1][1] - pm->u.m[2][2]);
1071        pout->x = 0.25f * S;
1072        pout->y = ( pm->u.m[0][1] + pm->u.m[1][0] ) / S;
1073        pout->z = ( pm->u.m[0][2] + pm->u.m[2][0] ) / S;
1074        pout->w = ( pm->u.m[1][2] - pm->u.m[2][1] ) / S;
1075      break;
1076      case 1:
1077        S = 2.0f * sqrt(1.0f + pm->u.m[1][1] - pm->u.m[0][0] - pm->u.m[2][2]);
1078        pout->x = ( pm->u.m[0][1] + pm->u.m[1][0] ) / S;
1079        pout->y = 0.25f * S;
1080        pout->z = ( pm->u.m[1][2] + pm->u.m[2][1] ) / S;
1081        pout->w = ( pm->u.m[2][0] - pm->u.m[0][2] ) / S;
1082      break;
1083      case 2:
1084        S = 2.0f * sqrt(1.0f + pm->u.m[2][2] - pm->u.m[0][0] - pm->u.m[1][1]);
1085        pout->x = ( pm->u.m[0][2] + pm->u.m[2][0] ) / S;
1086        pout->y = ( pm->u.m[1][2] + pm->u.m[2][1] ) / S;
1087        pout->z = 0.25f * S;
1088        pout->w = ( pm->u.m[0][1] - pm->u.m[1][0] ) / S;
1089      break;
1090     }
1091     return pout;
1092 }
1093
1094 D3DXQUATERNION* WINAPI D3DXQuaternionRotationYawPitchRoll(D3DXQUATERNION *pout, FLOAT yaw, FLOAT pitch, FLOAT roll)
1095 {
1096     pout->x = sin( yaw / 2.0f) * cos(pitch / 2.0f) * sin(roll / 2.0f) + cos(yaw / 2.0f) * sin(pitch / 2.0f) * cos(roll / 2.0f);
1097     pout->y = sin( yaw / 2.0f) * cos(pitch / 2.0f) * cos(roll / 2.0f) - cos(yaw / 2.0f) * sin(pitch / 2.0f) * sin(roll / 2.0f);
1098     pout->z = cos(yaw / 2.0f) * cos(pitch / 2.0f) * sin(roll / 2.0f) - sin( yaw / 2.0f) * sin(pitch / 2.0f) * cos(roll / 2.0f);
1099     pout->w = cos( yaw / 2.0f) * cos(pitch / 2.0f) * cos(roll / 2.0f) + sin(yaw / 2.0f) * sin(pitch / 2.0f) * sin(roll / 2.0f);
1100     return pout;
1101 }
1102
1103 D3DXQUATERNION* WINAPI D3DXQuaternionSlerp(D3DXQUATERNION *pout, CONST D3DXQUATERNION *pq1, CONST D3DXQUATERNION *pq2, FLOAT t)
1104 {
1105     FLOAT dot, epsilon;
1106
1107     epsilon = 1.0f;
1108     dot = D3DXQuaternionDot(pq1, pq2);
1109     if ( dot < 0.0f) epsilon = -1.0f;
1110     pout->x = (1.0f - t) * pq1->x + epsilon * t * pq2->x;
1111     pout->y = (1.0f - t) * pq1->y + epsilon * t * pq2->y;
1112     pout->z = (1.0f - t) * pq1->z + epsilon * t * pq2->z;
1113     pout->w = (1.0f - t) * pq1->w + epsilon * t * pq2->w;
1114     return pout;
1115 }
1116
1117 D3DXQUATERNION* WINAPI D3DXQuaternionSquad(D3DXQUATERNION *pout, CONST D3DXQUATERNION *pq1, CONST D3DXQUATERNION *pq2, CONST D3DXQUATERNION *pq3, CONST D3DXQUATERNION *pq4, FLOAT t)
1118 {
1119     D3DXQUATERNION temp1, temp2;
1120
1121     D3DXQuaternionSlerp(pout, D3DXQuaternionSlerp(&temp1, pq1, pq4, t), D3DXQuaternionSlerp(&temp2, pq2, pq3, t), 2.0f * t * (1.0f - t));
1122     return pout;
1123 }
1124
1125 void WINAPI D3DXQuaternionToAxisAngle(CONST D3DXQUATERNION *pq, D3DXVECTOR3 *paxis, FLOAT *pangle)
1126 {
1127     FLOAT norm;
1128
1129     *pangle = 0.0f;
1130     norm = D3DXQuaternionLength(pq);
1131     if ( norm )
1132     {
1133      paxis->x = pq->x / norm;
1134      paxis->y = pq->y / norm;
1135      paxis->z = pq->z / norm;
1136      if ( fabs( pq->w ) <= 1.0f ) *pangle = 2.0f * acos(pq->w);
1137     }
1138     else
1139     {
1140      paxis->x = 1.0f;
1141      paxis->y = 0.0f;
1142      paxis->z = 0.0f;
1143     }
1144 }
1145
1146 /*_________________D3DXVec2_____________________*/
1147
1148 D3DXVECTOR2* WINAPI D3DXVec2BaryCentric(D3DXVECTOR2 *pout, CONST D3DXVECTOR2 *pv1, CONST D3DXVECTOR2 *pv2, CONST D3DXVECTOR2 *pv3, FLOAT f, FLOAT g)
1149 {
1150     pout->x = (1.0f-f-g) * (pv1->x) + f * (pv2->x) + g * (pv3->x);
1151     pout->y = (1.0f-f-g) * (pv1->y) + f * (pv2->y) + g * (pv3->y);
1152     return pout;
1153 }
1154
1155 D3DXVECTOR2* WINAPI D3DXVec2CatmullRom(D3DXVECTOR2 *pout, CONST D3DXVECTOR2 *pv0, CONST D3DXVECTOR2 *pv1, CONST D3DXVECTOR2 *pv2, CONST D3DXVECTOR2 *pv3, FLOAT s)
1156 {
1157     pout->x = 0.5f * (2.0f * pv1->x + (pv2->x - pv0->x) *s + (2.0f *pv0->x - 5.0f * pv1->x + 4.0f * pv2->x - pv3->x) * s * s + (pv3->x -3.0f * pv2->x + 3.0f * pv1->x - pv0->x) * s * s * s);
1158     pout->y = 0.5f * (2.0f * pv1->y + (pv2->y - pv0->y) *s + (2.0f *pv0->y - 5.0f * pv1->y + 4.0f * pv2->y - pv3->y) * s * s + (pv3->y -3.0f * pv2->y + 3.0f * pv1->y - pv0->y) * s * s * s);
1159     return pout;
1160 }
1161
1162 D3DXVECTOR2* WINAPI D3DXVec2Hermite(D3DXVECTOR2 *pout, CONST D3DXVECTOR2 *pv1, CONST D3DXVECTOR2 *pt1, CONST D3DXVECTOR2 *pv2, CONST D3DXVECTOR2 *pt2, FLOAT s)
1163 {
1164     FLOAT h1, h2, h3, h4;
1165
1166     h1 = 2.0f * s * s * s - 3.0f * s * s + 1.0f;
1167     h2 = s * s * s - 2.0f * s * s + s;
1168     h3 = -2.0f * s * s * s + 3.0f * s * s;
1169     h4 = s * s * s - s * s;
1170
1171     pout->x = h1 * (pv1->x) + h2 * (pt1->x) + h3 * (pv2->x) + h4 * (pt2->x);
1172     pout->y = h1 * (pv1->y) + h2 * (pt1->y) + h3 * (pv2->y) + h4 * (pt2->y);
1173     return pout;
1174 }
1175
1176 D3DXVECTOR2* WINAPI D3DXVec2Normalize(D3DXVECTOR2 *pout, CONST D3DXVECTOR2 *pv)
1177 {
1178     FLOAT norm;
1179
1180     norm = D3DXVec2Length(pv);
1181     if ( !norm )
1182     {
1183      pout->x = 0.0f;
1184      pout->y = 0.0f;
1185     }
1186     else
1187     {
1188      pout->x = pv->x / norm;
1189      pout->y = pv->y / norm;
1190     }
1191     return pout;
1192 }
1193
1194 D3DXVECTOR4* WINAPI D3DXVec2Transform(D3DXVECTOR4 *pout, CONST D3DXVECTOR2 *pv, CONST D3DXMATRIX *pm)
1195 {
1196     pout->x = pm->u.m[0][0] * pv->x + pm->u.m[1][0] * pv->y  + pm->u.m[3][0];
1197     pout->y = pm->u.m[0][1] * pv->x + pm->u.m[1][1] * pv->y  + pm->u.m[3][1];
1198     pout->z = pm->u.m[0][2] * pv->x + pm->u.m[1][2] * pv->y  + pm->u.m[3][2];
1199     pout->w = pm->u.m[0][3] * pv->x + pm->u.m[1][3] * pv->y  + pm->u.m[3][3];
1200     return pout;
1201 }
1202
1203 D3DXVECTOR2* WINAPI D3DXVec2TransformCoord(D3DXVECTOR2 *pout, CONST D3DXVECTOR2 *pv, CONST D3DXMATRIX *pm)
1204 {
1205     FLOAT norm;
1206
1207     norm = pm->u.m[0][3] * pv->x + pm->u.m[1][3] * pv->y + pm->u.m[3][3];
1208     if ( norm )
1209     {
1210      CONST D3DXVECTOR2 v = *pv;
1211      pout->x = (pm->u.m[0][0] * v.x + pm->u.m[1][0] * v.y + pm->u.m[3][0]) / norm;
1212      pout->y = (pm->u.m[0][1] * v.x + pm->u.m[1][1] * v.y + pm->u.m[3][1]) / norm;
1213     }
1214     else
1215     {
1216      pout->x = 0.0f;
1217      pout->y = 0.0f;
1218     }
1219     return pout;
1220 }
1221
1222 D3DXVECTOR2* WINAPI D3DXVec2TransformNormal(D3DXVECTOR2 *pout, CONST D3DXVECTOR2 *pv, CONST D3DXMATRIX *pm)
1223 {
1224     CONST D3DXVECTOR2 v = *pv;
1225     pout->x = pm->u.m[0][0] * v.x + pm->u.m[1][0] * v.y;
1226     pout->y = pm->u.m[0][1] * v.x + pm->u.m[1][1] * v.y;
1227     return pout;
1228 }
1229
1230 /*_________________D3DXVec3_____________________*/
1231
1232 D3DXVECTOR3* WINAPI D3DXVec3BaryCentric(D3DXVECTOR3 *pout, CONST D3DXVECTOR3 *pv1, CONST D3DXVECTOR3 *pv2, CONST D3DXVECTOR3 *pv3, FLOAT f, FLOAT g)
1233 {
1234     pout->x = (1.0f-f-g) * (pv1->x) + f * (pv2->x) + g * (pv3->x);
1235     pout->y = (1.0f-f-g) * (pv1->y) + f * (pv2->y) + g * (pv3->y);
1236     pout->z = (1.0f-f-g) * (pv1->z) + f * (pv2->z) + g * (pv3->z);
1237     return pout;
1238 }
1239
1240 D3DXVECTOR3* WINAPI D3DXVec3CatmullRom( D3DXVECTOR3 *pout, CONST D3DXVECTOR3 *pv0, CONST D3DXVECTOR3 *pv1, CONST D3DXVECTOR3 *pv2, CONST D3DXVECTOR3 *pv3, FLOAT s)
1241 {
1242     pout->x = 0.5f * (2.0f * pv1->x + (pv2->x - pv0->x) *s + (2.0f *pv0->x - 5.0f * pv1->x + 4.0f * pv2->x - pv3->x) * s * s + (pv3->x -3.0f * pv2->x + 3.0f * pv1->x - pv0->x) * s * s * s);
1243     pout->y = 0.5f * (2.0f * pv1->y + (pv2->y - pv0->y) *s + (2.0f *pv0->y - 5.0f * pv1->y + 4.0f * pv2->y - pv3->y) * s * s + (pv3->y -3.0f * pv2->y + 3.0f * pv1->y - pv0->y) * s * s * s);
1244     pout->z = 0.5f * (2.0f * pv1->z + (pv2->z - pv0->z) *s + (2.0f *pv0->z - 5.0f * pv1->z + 4.0f * pv2->z - pv3->z) * s * s + (pv3->z -3.0f * pv2->z + 3.0f * pv1->z - pv0->z) * s * s * s);
1245     return pout;
1246 }
1247
1248 D3DXVECTOR3* WINAPI D3DXVec3Hermite(D3DXVECTOR3 *pout, CONST D3DXVECTOR3 *pv1, CONST D3DXVECTOR3 *pt1, CONST D3DXVECTOR3 *pv2, CONST D3DXVECTOR3 *pt2, FLOAT s)
1249 {
1250     FLOAT h1, h2, h3, h4;
1251
1252     h1 = 2.0f * s * s * s - 3.0f * s * s + 1.0f;
1253     h2 = s * s * s - 2.0f * s * s + s;
1254     h3 = -2.0f * s * s * s + 3.0f * s * s;
1255     h4 = s * s * s - s * s;
1256
1257     pout->x = h1 * (pv1->x) + h2 * (pt1->x) + h3 * (pv2->x) + h4 * (pt2->x);
1258     pout->y = h1 * (pv1->y) + h2 * (pt1->y) + h3 * (pv2->y) + h4 * (pt2->y);
1259     pout->z = h1 * (pv1->z) + h2 * (pt1->z) + h3 * (pv2->z) + h4 * (pt2->z);
1260     return pout;
1261 }
1262
1263 D3DXVECTOR3* WINAPI D3DXVec3Normalize(D3DXVECTOR3 *pout, CONST D3DXVECTOR3 *pv)
1264 {
1265     FLOAT norm;
1266
1267     norm = D3DXVec3Length(pv);
1268     if ( !norm )
1269     {
1270      pout->x = 0.0f;
1271      pout->y = 0.0f;
1272      pout->z = 0.0f;
1273     }
1274     else
1275     {
1276      pout->x = pv->x / norm;
1277      pout->y = pv->y / norm;
1278      pout->z = pv->z / norm;
1279     }
1280     return pout;
1281 }
1282
1283 D3DXVECTOR3* WINAPI D3DXVec3Project(D3DXVECTOR3 *pout, CONST D3DXVECTOR3 *pv, CONST D3DVIEWPORT8 *pviewport, CONST D3DXMATRIX *pprojection, CONST D3DXMATRIX *pview, CONST D3DXMATRIX *pworld)
1284 {
1285     D3DXMATRIX m1, m2;
1286     D3DXVECTOR3 vec;
1287
1288     D3DXMatrixMultiply(&m1, pworld, pview);
1289     D3DXMatrixMultiply(&m2, &m1, pprojection);
1290     D3DXVec3TransformCoord(&vec, pv, &m2);
1291     pout->x = pviewport->X +  ( 1.0f + vec.x ) * pviewport->Width / 2.0f;
1292     pout->y = pviewport->Y +  ( 1.0f - vec.y ) * pviewport->Height / 2.0f;
1293     pout->z = pviewport->MinZ + vec.z * ( pviewport->MaxZ - pviewport->MinZ );
1294     return pout;
1295 }
1296
1297 D3DXVECTOR4* WINAPI D3DXVec3Transform(D3DXVECTOR4 *pout, CONST D3DXVECTOR3 *pv, CONST D3DXMATRIX *pm)
1298 {
1299     pout->x = pm->u.m[0][0] * pv->x + pm->u.m[1][0] * pv->y + pm->u.m[2][0] * pv->z + pm->u.m[3][0];
1300     pout->y = pm->u.m[0][1] * pv->x + pm->u.m[1][1] * pv->y + pm->u.m[2][1] * pv->z + pm->u.m[3][1];
1301     pout->z = pm->u.m[0][2] * pv->x + pm->u.m[1][2] * pv->y + pm->u.m[2][2] * pv->z + pm->u.m[3][2];
1302     pout->w = pm->u.m[0][3] * pv->x + pm->u.m[1][3] * pv->y + pm->u.m[2][3] * pv->z + pm->u.m[3][3];
1303     return pout;
1304 }
1305
1306 D3DXVECTOR3* WINAPI D3DXVec3TransformCoord(D3DXVECTOR3 *pout, CONST D3DXVECTOR3 *pv, CONST D3DXMATRIX *pm)
1307 {
1308     FLOAT norm;
1309
1310     norm = pm->u.m[0][3] * pv->x + pm->u.m[1][3] * pv->y + pm->u.m[2][3] *pv->z + pm->u.m[3][3];
1311
1312     if ( norm )
1313     {
1314      CONST D3DXVECTOR3 v = *pv;
1315      pout->x = (pm->u.m[0][0] * v.x + pm->u.m[1][0] * v.y + pm->u.m[2][0] * v.z + pm->u.m[3][0]) / norm;
1316      pout->y = (pm->u.m[0][1] * v.x + pm->u.m[1][1] * v.y + pm->u.m[2][1] * v.z + pm->u.m[3][1]) / norm;
1317      pout->z = (pm->u.m[0][2] * v.x + pm->u.m[1][2] * v.y + pm->u.m[2][2] * v.z + pm->u.m[3][2]) / norm;
1318     }
1319     else
1320     {
1321      pout->x = 0.0f;
1322      pout->y = 0.0f;
1323      pout->z = 0.0f;
1324     }
1325     return pout;
1326 }
1327
1328 D3DXVECTOR3* WINAPI D3DXVec3TransformNormal(D3DXVECTOR3 *pout, CONST D3DXVECTOR3 *pv, CONST D3DXMATRIX *pm)
1329 {
1330     CONST D3DXVECTOR3 v = *pv;
1331     pout->x = pm->u.m[0][0] * v.x + pm->u.m[1][0] * v.y + pm->u.m[2][0] * v.z;
1332     pout->y = pm->u.m[0][1] * v.x + pm->u.m[1][1] * v.y + pm->u.m[2][1] * v.z;
1333     pout->z = pm->u.m[0][2] * v.x + pm->u.m[1][2] * v.y + pm->u.m[2][2] * v.z;
1334     return pout;
1335
1336 }
1337
1338 D3DXVECTOR3* WINAPI D3DXVec3Unproject(D3DXVECTOR3 *pout, CONST D3DXVECTOR3 *pv, CONST D3DVIEWPORT8 *pviewport, CONST D3DXMATRIX *pprojection, CONST D3DXMATRIX *pview, CONST D3DXMATRIX *pworld)
1339 {
1340     D3DXMATRIX m1, m2, m3;
1341     D3DXVECTOR3 vec;
1342
1343     D3DXMatrixMultiply(&m1, pworld, pview);
1344     D3DXMatrixMultiply(&m2, &m1, pprojection);
1345     D3DXMatrixInverse(&m3, NULL, &m2);
1346     vec.x = 2.0f * ( pv->x - pviewport->X ) / pviewport->Width - 1.0f;
1347     vec.y = 1.0f - 2.0f * ( pv->y - pviewport->Y ) / pviewport->Height;
1348     vec.z = ( pv->z - pviewport->MinZ) / ( pviewport->MaxZ - pviewport->MinZ );
1349     D3DXVec3TransformCoord(pout, &vec, &m3);
1350     return pout;
1351 }
1352
1353 /*_________________D3DXVec4_____________________*/
1354
1355 D3DXVECTOR4* WINAPI D3DXVec4BaryCentric(D3DXVECTOR4 *pout, CONST D3DXVECTOR4 *pv1, CONST D3DXVECTOR4 *pv2, CONST D3DXVECTOR4 *pv3, FLOAT f, FLOAT g)
1356 {
1357     pout->x = (1.0f-f-g) * (pv1->x) + f * (pv2->x) + g * (pv3->x);
1358     pout->y = (1.0f-f-g) * (pv1->y) + f * (pv2->y) + g * (pv3->y);
1359     pout->z = (1.0f-f-g) * (pv1->z) + f * (pv2->z) + g * (pv3->z);
1360     pout->w = (1.0f-f-g) * (pv1->w) + f * (pv2->w) + g * (pv3->w);
1361     return pout;
1362 }
1363
1364 D3DXVECTOR4* WINAPI D3DXVec4CatmullRom(D3DXVECTOR4 *pout, CONST D3DXVECTOR4 *pv0, CONST D3DXVECTOR4 *pv1, CONST D3DXVECTOR4 *pv2, CONST D3DXVECTOR4 *pv3, FLOAT s)
1365 {
1366     pout->x = 0.5f * (2.0f * pv1->x + (pv2->x - pv0->x) *s + (2.0f *pv0->x - 5.0f * pv1->x + 4.0f * pv2->x - pv3->x) * s * s + (pv3->x -3.0f * pv2->x + 3.0f * pv1->x - pv0->x) * s * s * s);
1367     pout->y = 0.5f * (2.0f * pv1->y + (pv2->y - pv0->y) *s + (2.0f *pv0->y - 5.0f * pv1->y + 4.0f * pv2->y - pv3->y) * s * s + (pv3->y -3.0f * pv2->y + 3.0f * pv1->y - pv0->y) * s * s * s);
1368     pout->z = 0.5f * (2.0f * pv1->z + (pv2->z - pv0->z) *s + (2.0f *pv0->z - 5.0f * pv1->z + 4.0f * pv2->z - pv3->z) * s * s + (pv3->z -3.0f * pv2->z + 3.0f * pv1->z - pv0->z) * s * s * s);
1369     pout->w = 0.5f * (2.0f * pv1->w + (pv2->w - pv0->w) *s + (2.0f *pv0->w - 5.0f * pv1->w + 4.0f * pv2->w - pv3->w) * s * s + (pv3->w -3.0f * pv2->w + 3.0f * pv1->w - pv0->w) * s * s * s);
1370     return pout;
1371 }
1372
1373 D3DXVECTOR4* WINAPI D3DXVec4Cross(D3DXVECTOR4 *pout, CONST D3DXVECTOR4 *pv1, CONST D3DXVECTOR4 *pv2, CONST D3DXVECTOR4 *pv3)
1374 {
1375     D3DXVECTOR4 out;
1376     out.x = pv1->y * (pv2->z * pv3->w - pv3->z * pv2->w) - pv1->z * (pv2->y * pv3->w - pv3->y * pv2->w) + pv1->w * (pv2->y * pv3->z - pv2->z *pv3->y);
1377     out.y = -(pv1->x * (pv2->z * pv3->w - pv3->z * pv2->w) - pv1->z * (pv2->x * pv3->w - pv3->x * pv2->w) + pv1->w * (pv2->x * pv3->z - pv3->x * pv2->z));
1378     out.z = pv1->x * (pv2->y * pv3->w - pv3->y * pv2->w) - pv1->y * (pv2->x *pv3->w - pv3->x * pv2->w) + pv1->w * (pv2->x * pv3->y - pv3->x * pv2->y);
1379     out.w = -(pv1->x * (pv2->y * pv3->z - pv3->y * pv2->z) - pv1->y * (pv2->x * pv3->z - pv3->x *pv2->z) + pv1->z * (pv2->x * pv3->y - pv3->x * pv2->y));
1380     *pout = out;
1381     return pout;
1382 }
1383
1384 D3DXVECTOR4* WINAPI D3DXVec4Hermite(D3DXVECTOR4 *pout, CONST D3DXVECTOR4 *pv1, CONST D3DXVECTOR4 *pt1, CONST D3DXVECTOR4 *pv2, CONST D3DXVECTOR4 *pt2, FLOAT s)
1385 {
1386     FLOAT h1, h2, h3, h4;
1387
1388     h1 = 2.0f * s * s * s - 3.0f * s * s + 1.0f;
1389     h2 = s * s * s - 2.0f * s * s + s;
1390     h3 = -2.0f * s * s * s + 3.0f * s * s;
1391     h4 = s * s * s - s * s;
1392
1393     pout->x = h1 * (pv1->x) + h2 * (pt1->x) + h3 * (pv2->x) + h4 * (pt2->x);
1394     pout->y = h1 * (pv1->y) + h2 * (pt1->y) + h3 * (pv2->y) + h4 * (pt2->y);
1395     pout->z = h1 * (pv1->z) + h2 * (pt1->z) + h3 * (pv2->z) + h4 * (pt2->z);
1396     pout->w = h1 * (pv1->w) + h2 * (pt1->w) + h3 * (pv2->w) + h4 * (pt2->w);
1397     return pout;
1398 }
1399
1400 D3DXVECTOR4* WINAPI D3DXVec4Normalize(D3DXVECTOR4 *pout, CONST D3DXVECTOR4 *pv)
1401 {
1402     FLOAT norm;
1403
1404     norm = D3DXVec4Length(pv);
1405     if ( !norm )
1406     {
1407      pout->x = 0.0f;
1408      pout->y = 0.0f;
1409      pout->z = 0.0f;
1410      pout->w = 0.0f;
1411     }
1412     else
1413     {
1414      pout->x = pv->x / norm;
1415      pout->y = pv->y / norm;
1416      pout->z = pv->z / norm;
1417      pout->w = pv->w / norm;
1418     }
1419     return pout;
1420 }
1421
1422 D3DXVECTOR4* WINAPI D3DXVec4Transform(D3DXVECTOR4 *pout, CONST D3DXVECTOR4 *pv, CONST D3DXMATRIX *pm)
1423 {
1424     D3DXVECTOR4 out;
1425     out.x = pm->u.m[0][0] * pv->x + pm->u.m[1][0] * pv->y + pm->u.m[2][0] * pv->z + pm->u.m[3][0] * pv->w;
1426     out.y = pm->u.m[0][1] * pv->x + pm->u.m[1][1] * pv->y + pm->u.m[2][1] * pv->z + pm->u.m[3][1] * pv->w;
1427     out.z = pm->u.m[0][2] * pv->x + pm->u.m[1][2] * pv->y + pm->u.m[2][2] * pv->z + pm->u.m[3][2] * pv->w;
1428     out.w = pm->u.m[0][3] * pv->x + pm->u.m[1][3] * pv->y + pm->u.m[2][3] * pv->z + pm->u.m[3][3] * pv->w;
1429     *pout = out;
1430     return pout;
1431 }