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, p1, p2, p3;
  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(&p1, &m1, &m2);
  94     D3DXMatrixMultiply(&p2, &p1, &m3);
  95     D3DXMatrixMultiply(&p3, &p2, &m4);
  96     D3DXMatrixMultiply(pout, &p3, &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     int i,j;
 206
 207     for (i=0; i<4; i++)
 208     {
 209      for (j=0; j<4; j++)
 210      {
 211       pout->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];
 212      }
 213     }
 214     return pout;
 215 }
 216
 217 D3DXMATRIX* WINAPI D3DXMatrixMultiplyTranspose(D3DXMATRIX *pout, CONST D3DXMATRIX *pm1, CONST D3DXMATRIX *pm2)
 218 {
 219     D3DXMATRIX temp;
 220
 221     D3DXMatrixMultiply(&temp, pm1, pm2);
 222     D3DXMatrixTranspose(pout, &temp);
 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, pout1, pout2, pout3;
 423
 424     D3DXMatrixIdentity(&pout3);
 425     D3DXMatrixRotationZ(&m,roll);
 426     D3DXMatrixMultiply(&pout2,&pout3,&m);
 427     D3DXMatrixRotationX(&m,pitch);
 428     D3DXMatrixMultiply(&pout1,&pout2,&m);
 429     D3DXMatrixRotationY(&m,yaw);
 430     D3DXMatrixMultiply(pout,&pout1,&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, p1, p2, p3, p4, p5;
 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(&p1, &m1, &m2);
 550     D3DXMatrixMultiply(&p2, &p1, &m3);
 551     D3DXMatrixMultiply(&p3, &p2, &m4);
 552     D3DXMatrixMultiply(&p4, &p3, &m5);
 553     D3DXMatrixMultiply(&p5, &p4, &m6);
 554     D3DXMatrixMultiply(pout, &p5, &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     int i,j;
 570
 571     for (i=0; i<4; i++)
 572     {
 573      for (j=0; j<4; j++)
 574      {
 575       pout->u.m[i][j] = pm->u.m[j][i];
 576      }
 577     }
 578     return pout;
 579 }
 580
 581 /*_________________D3DXMatrixStack____________________*/
 582
 583 HRESULT WINAPI D3DXCreateMatrixStack(DWORD flags, LPD3DXMATRIXSTACK* ppstack)
 584 {
 585     ID3DXMatrixStackImpl* object;
 586
 587     object = HeapAlloc(GetProcessHeap(), HEAP_ZERO_MEMORY, sizeof(ID3DXMatrixStackImpl));
 588     if ( object == NULL )
 589     {
 590      *ppstack = NULL;
 591      return E_OUTOFMEMORY;
 592     }
 593     object->lpVtbl = &ID3DXMatrixStack_Vtbl;
 594     object->ref = 1;
 595     object->current = 0;
 596     *ppstack = (LPD3DXMATRIXSTACK)object;
 597     return D3D_OK;
 598 }
 599
 600 static HRESULT WINAPI ID3DXMatrixStackImpl_QueryInterface(ID3DXMatrixStack *iface, REFIID riid, void **ppobj)
 601 {
 602     ID3DXMatrixStackImpl *This = (ID3DXMatrixStackImpl *)iface;
 603     if (IsEqualGUID(riid, &IID_IUnknown) || IsEqualGUID(riid, &IID_ID3DXMatrixStack))
 604     {
 605      ID3DXMatrixStack_AddRef(iface);
 606      *ppobj = This;
 607      return S_OK;
 608     }
 609     *ppobj = NULL;
 610     ERR("(%p)->(%s,%p),not found\n",This,debugstr_guid(riid),ppobj);
 611     return E_NOINTERFACE;
 612 }
 613
 614 static ULONG WINAPI ID3DXMatrixStackImpl_AddRef(ID3DXMatrixStack *iface)
 615 {
 616     ID3DXMatrixStackImpl *This = (ID3DXMatrixStackImpl *)iface;
 617     ULONG ref = InterlockedIncrement(&This->ref);
 618     TRACE("(%p) : AddRef from %d\n", This, ref - 1);
 619     return ref;
 620 }
 621
 622 static ULONG WINAPI ID3DXMatrixStackImpl_Release(ID3DXMatrixStack* iface)
 623 {
 624     ID3DXMatrixStackImpl *This = (ID3DXMatrixStackImpl *)iface;
 625     ULONG ref = InterlockedDecrement(&This->ref);
 626     if ( !ref ) HeapFree(GetProcessHeap(), 0, This);
 627     TRACE("(%p) : ReleaseRef to %d\n", This, ref);
 628     return ref;
 629 }
 630
 631 static D3DXMATRIX* WINAPI ID3DXMatrixStackImpl_GetTop(ID3DXMatrixStack *iface)
 632 {
 633     ID3DXMatrixStackImpl *This = (ID3DXMatrixStackImpl *)iface;
 634     FIXME("(%p) : stub\n",This);
 635     return NULL;
 636 }
 637
 638 static HRESULT WINAPI ID3DXMatrixStackImpl_LoadIdentity(ID3DXMatrixStack *iface)
 639 {
 640     ID3DXMatrixStackImpl *This = (ID3DXMatrixStackImpl *)iface;
 641     FIXME("(%p) : stub\n",This);
 642     return D3D_OK;
 643 }
 644
 645 static HRESULT WINAPI ID3DXMatrixStackImpl_LoadMatrix(ID3DXMatrixStack *iface, LPD3DXMATRIX pm)
 646 {
 647     ID3DXMatrixStackImpl *This = (ID3DXMatrixStackImpl *)iface;
 648     FIXME("(%p) : stub\n",This);
 649     return D3D_OK;
 650 }
 651
 652 static HRESULT WINAPI ID3DXMatrixStackImpl_MultMatrix(ID3DXMatrixStack *iface, LPD3DXMATRIX pm)
 653 {
 654     ID3DXMatrixStackImpl *This = (ID3DXMatrixStackImpl *)iface;
 655     FIXME("(%p) : stub\n",This);
 656     return D3D_OK;
 657 }
 658
 659 static HRESULT WINAPI ID3DXMatrixStackImpl_MultMatrixLocal(ID3DXMatrixStack *iface, LPD3DXMATRIX pm)
 660 {
 661     ID3DXMatrixStackImpl *This = (ID3DXMatrixStackImpl *)iface;
 662     FIXME("(%p) : stub\n",This);
 663     return D3D_OK;
 664 }
 665
 666 static HRESULT WINAPI ID3DXMatrixStackImpl_Pop(ID3DXMatrixStack *iface)
 667 {
 668     ID3DXMatrixStackImpl *This = (ID3DXMatrixStackImpl *)iface;
 669     FIXME("(%p) : stub\n",This);
 670     return D3D_OK;
 671 }
 672
 673 static HRESULT WINAPI ID3DXMatrixStackImpl_Push(ID3DXMatrixStack *iface)
 674 {
 675     ID3DXMatrixStackImpl *This = (ID3DXMatrixStackImpl *)iface;
 676     FIXME("(%p) : stub\n",This);
 677     return D3D_OK;
 678 }
 679
 680 static HRESULT WINAPI ID3DXMatrixStackImpl_RotateAxis(ID3DXMatrixStack *iface, LPD3DXVECTOR3 pv, FLOAT angle)
 681 {
 682     ID3DXMatrixStackImpl *This = (ID3DXMatrixStackImpl *)iface;
 683     FIXME("(%p) : stub\n",This);
 684     return D3D_OK;
 685 }
 686
 687 static HRESULT WINAPI ID3DXMatrixStackImpl_RotateAxisLocal(ID3DXMatrixStack *iface, LPD3DXVECTOR3 pv, FLOAT angle)
 688 {
 689     ID3DXMatrixStackImpl *This = (ID3DXMatrixStackImpl *)iface;
 690     FIXME("(%p) : stub\n",This);
 691     return D3D_OK;
 692 }
 693
 694 static HRESULT WINAPI ID3DXMatrixStackImpl_RotateYawPitchRoll(ID3DXMatrixStack *iface, FLOAT x, FLOAT y, FLOAT z)
 695 {
 696     ID3DXMatrixStackImpl *This = (ID3DXMatrixStackImpl *)iface;
 697     FIXME("(%p) : stub\n",This);
 698     return D3D_OK;
 699 }
 700
 701 static HRESULT WINAPI ID3DXMatrixStackImpl_RotateYawPitchRollLocal(ID3DXMatrixStack *iface, FLOAT x, FLOAT y, FLOAT z)
 702 {
 703     ID3DXMatrixStackImpl *This = (ID3DXMatrixStackImpl *)iface;
 704     FIXME("(%p) : stub\n",This);
 705     return D3D_OK;
 706 }
 707
 708 static HRESULT WINAPI ID3DXMatrixStackImpl_Scale(ID3DXMatrixStack *iface, FLOAT x, FLOAT y, FLOAT z)
 709 {
 710     ID3DXMatrixStackImpl *This = (ID3DXMatrixStackImpl *)iface;
 711     FIXME("(%p) : stub\n",This);
 712     return D3D_OK;
 713 }
 714
 715 static HRESULT WINAPI ID3DXMatrixStackImpl_ScaleLocal(ID3DXMatrixStack *iface, FLOAT x, FLOAT y, FLOAT z)
 716 {
 717     ID3DXMatrixStackImpl *This = (ID3DXMatrixStackImpl *)iface;
 718     FIXME("(%p) : stub\n",This);
 719     return D3D_OK;
 720 }
 721
 722 static HRESULT WINAPI ID3DXMatrixStackImpl_Translate(ID3DXMatrixStack *iface, FLOAT x, FLOAT y, FLOAT z)
 723 {
 724     ID3DXMatrixStackImpl *This = (ID3DXMatrixStackImpl *)iface;
 725     FIXME("(%p) : stub\n",This);
 726     return D3D_OK;
 727 }
 728
 729 static HRESULT WINAPI ID3DXMatrixStackImpl_TranslateLocal(ID3DXMatrixStack *iface, FLOAT x, FLOAT y, FLOAT z)
 730 {
 731     ID3DXMatrixStackImpl *This = (ID3DXMatrixStackImpl *)iface;
 732     FIXME("(%p) : stub\n",This);
 733     return D3D_OK;
 734 }
 735
 736 static const ID3DXMatrixStackVtbl ID3DXMatrixStack_Vtbl =
 737 {
 738     ID3DXMatrixStackImpl_QueryInterface,
 739     ID3DXMatrixStackImpl_AddRef,
 740     ID3DXMatrixStackImpl_Release,
 741     ID3DXMatrixStackImpl_Pop,
 742     ID3DXMatrixStackImpl_Push,
 743     ID3DXMatrixStackImpl_LoadIdentity,
 744     ID3DXMatrixStackImpl_LoadMatrix,
 745     ID3DXMatrixStackImpl_MultMatrix,
 746     ID3DXMatrixStackImpl_MultMatrixLocal,
 747     ID3DXMatrixStackImpl_RotateAxis,
 748     ID3DXMatrixStackImpl_RotateAxisLocal,
 749     ID3DXMatrixStackImpl_RotateYawPitchRoll,
 750     ID3DXMatrixStackImpl_RotateYawPitchRollLocal,
 751     ID3DXMatrixStackImpl_Scale,
 752     ID3DXMatrixStackImpl_ScaleLocal,
 753     ID3DXMatrixStackImpl_Translate,
 754     ID3DXMatrixStackImpl_TranslateLocal,
 755     ID3DXMatrixStackImpl_GetTop
 756 };
 757
 758 /*_________________D3DXPLANE________________*/
 759
 760 D3DXPLANE* WINAPI D3DXPlaneFromPointNormal(D3DXPLANE *pout, CONST D3DXVECTOR3 *pvpoint, CONST D3DXVECTOR3 *pvnormal)
 761 {
 762     pout->a = pvnormal->x;
 763     pout->b = pvnormal->y;
 764     pout->c = pvnormal->z;
 765     pout->d = -D3DXVec3Dot(pvpoint, pvnormal);
 766     return pout;
 767 }
 768
 769 D3DXPLANE* WINAPI D3DXPlaneFromPoints(D3DXPLANE *pout, CONST D3DXVECTOR3 *pv1, CONST D3DXVECTOR3 *pv2, CONST D3DXVECTOR3 *pv3)
 770 {
 771     D3DXVECTOR3 edge1, edge2, normal, Nnormal;
 772
 773     edge1.x = 0.0f; edge1.y = 0.0f; edge1.z = 0.0f;
 774     edge2.x = 0.0f; edge2.y = 0.0f; edge2.z = 0.0f;
 775     D3DXVec3Subtract(&edge1, pv2, pv1);
 776     D3DXVec3Subtract(&edge2, pv3, pv1);
 777     D3DXVec3Cross(&normal, &edge1, &edge2);
 778     D3DXVec3Normalize(&Nnormal, &normal);
 779     D3DXPlaneFromPointNormal(pout, pv1, &Nnormal);
 780     return pout;
 781 }
 782
 783 D3DXVECTOR3* WINAPI D3DXPlaneIntersectLine(D3DXVECTOR3 *pout, CONST D3DXPLANE *pp, CONST D3DXVECTOR3 *pv1, CONST D3DXVECTOR3 *pv2)
 784 {
 785     D3DXVECTOR3 direction, normal;
 786     FLOAT dot, temp;
 787
 788     normal.x = pp->a;
 789     normal.y = pp->b;
 790     normal.z = pp->c;
 791     direction.x = pv2->x - pv1->x;
 792     direction.y = pv2->y - pv1->y;
 793     direction.z = pv2->z - pv1->z;
 794     dot = D3DXVec3Dot(&normal, &direction);
 795     if ( !dot ) return NULL;
 796     temp = ( pp->d + D3DXVec3Dot(&normal, pv1) ) / dot;
 797     pout->x = pv1->x - temp * direction.x;
 798     pout->y = pv1->y - temp * direction.y;
 799     pout->z = pv1->z - temp * direction.z;
 800     return pout;
 801 }
 802
 803 D3DXPLANE* WINAPI D3DXPlaneNormalize(D3DXPLANE *pout, CONST D3DXPLANE *pp)
 804 {
 805     FLOAT norm;
 806
 807     norm = sqrt(pp->a * pp->a + pp->b * pp->b + pp->c * pp->c);
 808     if ( norm )
 809     {
 810      pout->a = pp->a / norm;
 811      pout->b = pp->b / norm;
 812      pout->c = pp->c / norm;
 813      pout->d = pp->d / norm;
 814     }
 815     else
 816     {
 817      pout->a = 0.0f;
 818      pout->b = 0.0f;
 819      pout->c = 0.0f;
 820      pout->d = 0.0f;
 821     }
 822     return pout;
 823 }
 824
 825 D3DXPLANE* WINAPI D3DXPlaneTransform(D3DXPLANE *pout, CONST D3DXPLANE *pplane, CONST D3DXMATRIX *pm)
 826 {
 827      pout->a = pm->u.m[0][0] * pplane->a + pm->u.m[1][0] * pplane->b + pm->u.m[2][0] * pplane->c + pm->u.m[3][0] * pplane->d;
 828      pout->b = pm->u.m[0][1] * pplane->a + pm->u.m[1][1] * pplane->b + pm->u.m[2][1] * pplane->c + pm->u.m[3][1] * pplane->d;
 829      pout->c = pm->u.m[0][2] * pplane->a + pm->u.m[1][2] * pplane->b + pm->u.m[2][2] * pplane->c + pm->u.m[3][2] * pplane->d;
 830      pout->d = pm->u.m[0][3] * pplane->a + pm->u.m[1][3] * pplane->b + pm->u.m[2][3] * pplane->c + pm->u.m[3][3] * pplane->d;
 831     return pout;
 832 }
 833
 834 /*_________________D3DXQUATERNION________________*/
 835
 836 D3DXQUATERNION* WINAPI D3DXQuaternionBaryCentric(D3DXQUATERNION *pout, CONST D3DXQUATERNION *pq1, CONST D3DXQUATERNION *pq2, CONST D3DXQUATERNION *pq3, FLOAT f, FLOAT g)
 837 {
 838     D3DXQUATERNION temp1, temp2;
 839     D3DXQuaternionSlerp(pout, D3DXQuaternionSlerp(&temp1, pq1, pq2, f + g), D3DXQuaternionSlerp(&temp2, pq1, pq3, f+g), g / (f + g));
 840     return pout;
 841 }
 842
 843 D3DXQUATERNION* WINAPI D3DXQuaternionExp(D3DXQUATERNION *pout, CONST D3DXQUATERNION *pq)
 844 {
 845     FLOAT norm;
 846
 847     norm = sqrt(pq->x * pq->x + pq->y * pq->y + pq->z * pq->z);
 848     if (norm )
 849     {
 850      pout->x = sin(norm) * pq->x / norm;
 851      pout->y = sin(norm) * pq->y / norm;
 852      pout->z = sin(norm) * pq->z / norm;
 853      pout->w = cos(norm);
 854     }
 855     else
 856     {
 857      pout->x = 0.0f;
 858      pout->y = 0.0f;
 859      pout->z = 0.0f;
 860      pout->w = 1.0f;
 861     }
 862     return pout;
 863 }
 864
 865 D3DXQUATERNION* WINAPI D3DXQuaternionInverse(D3DXQUATERNION *pout, CONST D3DXQUATERNION *pq)
 866 {
 867     D3DXQUATERNION temp;
 868     FLOAT norm;
 869
 870     temp.x = 0.0f;
 871     temp.y = 0.0f;
 872     temp.z = 0.0f;
 873     temp.w = 0.0f;
 874
 875     norm = D3DXQuaternionLengthSq(pq);
 876     if ( !norm )
 877     {
 878      pout->x = 0.0f;
 879      pout->y = 0.0f;
 880      pout->z = 0.0f;
 881      pout->w = 0.0f;
 882     }
 883     else
 884     {
 885     D3DXQuaternionConjugate(&temp, pq);
 886     pout->x = temp.x / norm;
 887     pout->y = temp.y / norm;
 888     pout->z = temp.z / norm;
 889     pout->w = temp.w / norm;
 890     }
 891     return pout;
 892 }
 893
 894 D3DXQUATERNION* WINAPI D3DXQuaternionLn(D3DXQUATERNION *pout, CONST D3DXQUATERNION *pq)
 895 {
 896     FLOAT norm, normvec, theta;
 897
 898     norm = D3DXQuaternionLengthSq(pq);
 899     if ( norm > 1.0001f )
 900     {
 901      pout->x = pq->x;
 902      pout->y = pq->y;
 903      pout->z = pq->z;
 904      pout->w = 0.0f;
 905     }
 906     else if( norm > 0.99999f)
 907     {
 908      normvec = sqrt( pq->x * pq->x + pq->y * pq->y + pq->z * pq->z );
 909      theta = atan2(normvec, pq->w) / normvec;
 910      pout->x = theta * pq->x;
 911      pout->y = theta * pq->y;
 912      pout->z = theta * pq->z;
 913      pout->w = 0.0f;
 914     }
 915     else
 916     {
 917      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);
 918     }
 919     return pout;
 920 }
 921
 922 D3DXQUATERNION* WINAPI D3DXQuaternionMultiply(D3DXQUATERNION *pout, CONST D3DXQUATERNION *pq1, CONST D3DXQUATERNION *pq2)
 923 {
 924     pout->x = pq2->w * pq1->x + pq2->x * pq1->w + pq2->y * pq1->z - pq2->z * pq1->y;
 925     pout->y = pq2->w * pq1->y - pq2->x * pq1->z + pq2->y * pq1->w + pq2->z * pq1->x;
 926     pout->z = pq2->w * pq1->z + pq2->x * pq1->y - pq2->y * pq1->x + pq2->z * pq1->w;
 927     pout->w = pq2->w * pq1->w - pq2->x * pq1->x - pq2->y * pq1->y - pq2->z * pq1->z;
 928     return pout;
 929 }
 930
 931 D3DXQUATERNION* WINAPI D3DXQuaternionNormalize(D3DXQUATERNION *pout, CONST D3DXQUATERNION *pq)
 932 {
 933     FLOAT norm;
 934
 935     norm = D3DXQuaternionLength(pq);
 936     if ( !norm )
 937     {
 938      pout->x = 0.0f;
 939      pout->y = 0.0f;
 940      pout->z = 0.0f;
 941      pout->w = 0.0f;
 942     }
 943     else
 944     {
 945      pout->x = pq->x / norm;
 946      pout->y = pq->y / norm;
 947      pout->z = pq->z / norm;
 948      pout->w = pq->w / norm;
 949     }
 950     return pout;
 951 }
 952
 953 D3DXQUATERNION* WINAPI D3DXQuaternionRotationAxis(D3DXQUATERNION *pout, CONST D3DXVECTOR3 *pv, FLOAT angle)
 954 {
 955     D3DXVECTOR3 temp;
 956
 957     D3DXVec3Normalize(&temp, pv);
 958     pout->x = sin( angle / 2.0f ) * temp.x;
 959     pout->y = sin( angle / 2.0f ) * temp.y;
 960     pout->z = sin( angle / 2.0f ) * temp.z;
 961     pout->w = cos( angle / 2.0f );
 962     return pout;
 963 }
 964
 965 D3DXQUATERNION* WINAPI D3DXQuaternionRotationMatrix(D3DXQUATERNION *pout, CONST D3DXMATRIX *pm)
 966 {
 967     int i, maxi;
 968     FLOAT maxdiag, S, trace;
 969
 970     trace = pm->u.m[0][0] + pm->u.m[1][1] + pm->u.m[2][2] + 1.0f;
 971     if ( trace > 0.0f)
 972     {
 973      pout->x = ( pm->u.m[1][2] - pm->u.m[2][1] ) / ( 2.0f * sqrt(trace) );
 974      pout->y = ( pm->u.m[2][0] - pm->u.m[0][2] ) / ( 2.0f * sqrt(trace) );
 975      pout->z = ( pm->u.m[0][1] - pm->u.m[1][0] ) / ( 2.0f * sqrt(trace) );
 976      pout->w = sqrt(trace) / 2.0f;
 977      return pout;
 978      }
 979     maxi = 0;
 980     maxdiag = pm->u.m[0][0];
 981     for (i=1; i<3; i++)
 982     {
 983      if ( pm->u.m[i][i] > maxdiag )
 984      {
 985       maxi = i;
 986       maxdiag = pm->u.m[i][i];
 987      }
 988     }
 989     switch( maxi )
 990     {
 991      case 0:
 992        S = 2.0f * sqrt(1.0f + pm->u.m[0][0] - pm->u.m[1][1] - pm->u.m[2][2]);
 993        pout->x = 0.25f * S;
 994        pout->y = ( pm->u.m[0][1] + pm->u.m[1][0] ) / S;
 995        pout->z = ( pm->u.m[0][2] + pm->u.m[2][0] ) / S;
 996        pout->w = ( pm->u.m[1][2] - pm->u.m[2][1] ) / S;
 997      break;
 998      case 1:
 999        S = 2.0f * sqrt(1.0f + pm->u.m[1][1] - pm->u.m[0][0] - pm->u.m[2][2]);
1000        pout->x = ( pm->u.m[0][1] + pm->u.m[1][0] ) / S;
1001        pout->y = 0.25f * S;
1002        pout->z = ( pm->u.m[1][2] + pm->u.m[2][1] ) / S;
1003        pout->w = ( pm->u.m[2][0] - pm->u.m[0][2] ) / S;
1004      break;
1005      case 2:
1006        S = 2.0f * sqrt(1.0f + pm->u.m[2][2] - pm->u.m[0][0] - pm->u.m[1][1]);
1007        pout->x = ( pm->u.m[0][2] + pm->u.m[2][0] ) / S;
1008        pout->y = ( pm->u.m[1][2] + pm->u.m[2][1] ) / S;
1009        pout->z = 0.25f * S;
1010        pout->w = ( pm->u.m[0][1] - pm->u.m[1][0] ) / S;
1011      break;
1012     }
1013     return pout;
1014 }
1015
1016 D3DXQUATERNION* WINAPI D3DXQuaternionRotationYawPitchRoll(D3DXQUATERNION *pout, FLOAT yaw, FLOAT pitch, FLOAT roll)
1017 {
1018     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);
1019     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);
1020     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);
1021     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);
1022     return pout;
1023 }
1024
1025 D3DXQUATERNION* WINAPI D3DXQuaternionSlerp(D3DXQUATERNION *pout, CONST D3DXQUATERNION *pq1, CONST D3DXQUATERNION *pq2, FLOAT t)
1026 {
1027     FLOAT dot, epsilon;
1028
1029     epsilon = 1.0f;
1030     dot = D3DXQuaternionDot(pq1, pq2);
1031     if ( dot < 0.0f) epsilon = -1.0f;
1032     pout->x = (1.0f - t) * pq1->x + epsilon * t * pq2->x;
1033     pout->y = (1.0f - t) * pq1->y + epsilon * t * pq2->y;
1034     pout->z = (1.0f - t) * pq1->z + epsilon * t * pq2->z;
1035     pout->w = (1.0f - t) * pq1->w + epsilon * t * pq2->w;
1036     return pout;
1037 }
1038
1039 D3DXQUATERNION* WINAPI D3DXQuaternionSquad(D3DXQUATERNION *pout, CONST D3DXQUATERNION *pq1, CONST D3DXQUATERNION *pq2, CONST D3DXQUATERNION *pq3, CONST D3DXQUATERNION *pq4, FLOAT t)
1040 {
1041     D3DXQUATERNION temp1, temp2;
1042
1043     D3DXQuaternionSlerp(pout, D3DXQuaternionSlerp(&temp1, pq1, pq4, t), D3DXQuaternionSlerp(&temp2, pq2, pq3, t), 2.0f * t * (1.0f - t));
1044     return pout;
1045 }
1046
1047 void WINAPI D3DXQuaternionToAxisAngle(CONST D3DXQUATERNION *pq, D3DXVECTOR3 *paxis, FLOAT *pangle)
1048 {
1049     FLOAT norm;
1050
1051     *pangle = 0.0f;
1052     norm = D3DXQuaternionLength(pq);
1053     if ( norm )
1054     {
1055      paxis->x = pq->x / norm;
1056      paxis->y = pq->y / norm;
1057      paxis->z = pq->z / norm;
1058      if ( fabs( pq->w ) <= 1.0f ) *pangle = 2.0f * acos(pq->w);
1059     }
1060     else
1061     {
1062      paxis->x = 1.0f;
1063      paxis->y = 0.0f;
1064      paxis->z = 0.0f;
1065     }
1066 }
1067
1068 /*_________________D3DXVec2_____________________*/
1069
1070 D3DXVECTOR2* WINAPI D3DXVec2BaryCentric(D3DXVECTOR2 *pout, CONST D3DXVECTOR2 *pv1, CONST D3DXVECTOR2 *pv2, CONST D3DXVECTOR2 *pv3, FLOAT f, FLOAT g)
1071 {
1072     pout->x = (1.0f-f-g) * (pv1->x) + f * (pv2->x) + g * (pv3->x);
1073     pout->y = (1.0f-f-g) * (pv1->y) + f * (pv2->y) + g * (pv3->y);
1074     return pout;
1075 }
1076
1077 D3DXVECTOR2* WINAPI D3DXVec2CatmullRom(D3DXVECTOR2 *pout, CONST D3DXVECTOR2 *pv0, CONST D3DXVECTOR2 *pv1, CONST D3DXVECTOR2 *pv2, CONST D3DXVECTOR2 *pv3, FLOAT s)
1078 {
1079     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);
1080     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);
1081     return pout;
1082 }
1083
1084 D3DXVECTOR2* WINAPI D3DXVec2Hermite(D3DXVECTOR2 *pout, CONST D3DXVECTOR2 *pv1, CONST D3DXVECTOR2 *pt1, CONST D3DXVECTOR2 *pv2, CONST D3DXVECTOR2 *pt2, FLOAT s)
1085 {
1086     FLOAT h1, h2, h3, h4;
1087
1088     h1 = 2.0f * s * s * s - 3.0f * s * s + 1.0f;
1089     h2 = s * s * s - 2.0f * s * s + s;
1090     h3 = -2.0f * s * s * s + 3.0f * s * s;
1091     h4 = s * s * s - s * s;
1092
1093     pout->x = h1 * (pv1->x) + h2 * (pt1->x) + h3 * (pv2->x) + h4 * (pt2->x);
1094     pout->y = h1 * (pv1->y) + h2 * (pt1->y) + h3 * (pv2->y) + h4 * (pt2->y);
1095     return pout;
1096 }
1097
1098 D3DXVECTOR2* WINAPI D3DXVec2Normalize(D3DXVECTOR2 *pout, CONST D3DXVECTOR2 *pv)
1099 {
1100     FLOAT norm;
1101
1102     norm = D3DXVec2Length(pv);
1103     if ( !norm )
1104     {
1105      pout->x = 0.0f;
1106      pout->y = 0.0f;
1107     }
1108     else
1109     {
1110      pout->x = pv->x / norm;
1111      pout->y = pv->y / norm;
1112     }
1113     return pout;
1114 }
1115
1116 D3DXVECTOR4* WINAPI D3DXVec2Transform(D3DXVECTOR4 *pout, CONST D3DXVECTOR2 *pv, CONST D3DXMATRIX *pm)
1117 {
1118     pout->x = pm->u.m[0][0] * pv->x + pm->u.m[1][0] * pv->y  + pm->u.m[3][0];
1119     pout->y = pm->u.m[0][1] * pv->x + pm->u.m[1][1] * pv->y  + pm->u.m[3][1];
1120     pout->z = pm->u.m[0][2] * pv->x + pm->u.m[1][2] * pv->y  + pm->u.m[3][2];
1121     pout->w = pm->u.m[0][3] * pv->x + pm->u.m[1][3] * pv->y  + pm->u.m[3][3];
1122     return pout;
1123 }
1124
1125 D3DXVECTOR2* WINAPI D3DXVec2TransformCoord(D3DXVECTOR2 *pout, CONST D3DXVECTOR2 *pv, CONST D3DXMATRIX *pm)
1126 {
1127     FLOAT norm;
1128
1129     norm = pm->u.m[0][3] * pv->x + pm->u.m[1][3] * pv->y + pm->u.m[3][3];
1130     if ( norm )
1131     {
1132      pout->x = (pm->u.m[0][0] * pv->x + pm->u.m[1][0] * pv->y + pm->u.m[3][0]) / norm;
1133      pout->y = (pm->u.m[0][1] * pv->x + pm->u.m[1][1] * pv->y + pm->u.m[3][1]) / norm;
1134     }
1135     else
1136     {
1137      pout->x = 0.0f;
1138      pout->y = 0.0f;
1139     }
1140     return pout;
1141 }
1142
1143 D3DXVECTOR2* WINAPI D3DXVec2TransformNormal(D3DXVECTOR2 *pout, CONST D3DXVECTOR2 *pv, CONST D3DXMATRIX *pm)
1144 {
1145     pout->x = pm->u.m[0][0] * pv->x + pm->u.m[1][0] * pv->y;
1146     pout->y = pm->u.m[0][1] * pv->x + pm->u.m[1][1] * pv->y;
1147     return pout;
1148 }
1149
1150 /*_________________D3DXVec3_____________________*/
1151
1152 D3DXVECTOR3* WINAPI D3DXVec3BaryCentric(D3DXVECTOR3 *pout, CONST D3DXVECTOR3 *pv1, CONST D3DXVECTOR3 *pv2, CONST D3DXVECTOR3 *pv3, FLOAT f, FLOAT g)
1153 {
1154     pout->x = (1.0f-f-g) * (pv1->x) + f * (pv2->x) + g * (pv3->x);
1155     pout->y = (1.0f-f-g) * (pv1->y) + f * (pv2->y) + g * (pv3->y);
1156     pout->z = (1.0f-f-g) * (pv1->z) + f * (pv2->z) + g * (pv3->z);
1157     return pout;
1158 }
1159
1160 D3DXVECTOR3* WINAPI D3DXVec3CatmullRom( D3DXVECTOR3 *pout, CONST D3DXVECTOR3 *pv0, CONST D3DXVECTOR3 *pv1, CONST D3DXVECTOR3 *pv2, CONST D3DXVECTOR3 *pv3, FLOAT s)
1161 {
1162     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);
1163     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);
1164     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);
1165     return pout;
1166 }
1167
1168 D3DXVECTOR3* WINAPI D3DXVec3Hermite(D3DXVECTOR3 *pout, CONST D3DXVECTOR3 *pv1, CONST D3DXVECTOR3 *pt1, CONST D3DXVECTOR3 *pv2, CONST D3DXVECTOR3 *pt2, FLOAT s)
1169 {
1170     FLOAT h1, h2, h3, h4;
1171
1172     h1 = 2.0f * s * s * s - 3.0f * s * s + 1.0f;
1173     h2 = s * s * s - 2.0f * s * s + s;
1174     h3 = -2.0f * s * s * s + 3.0f * s * s;
1175     h4 = s * s * s - s * s;
1176
1177     pout->x = h1 * (pv1->x) + h2 * (pt1->x) + h3 * (pv2->x) + h4 * (pt2->x);
1178     pout->y = h1 * (pv1->y) + h2 * (pt1->y) + h3 * (pv2->y) + h4 * (pt2->y);
1179     pout->z = h1 * (pv1->z) + h2 * (pt1->z) + h3 * (pv2->z) + h4 * (pt2->z);
1180     return pout;
1181 }
1182
1183 D3DXVECTOR3* WINAPI D3DXVec3Normalize(D3DXVECTOR3 *pout, CONST D3DXVECTOR3 *pv)
1184 {
1185     FLOAT norm;
1186
1187     norm = D3DXVec3Length(pv);
1188     if ( !norm )
1189     {
1190      pout->x = 0.0f;
1191      pout->y = 0.0f;
1192      pout->z = 0.0f;
1193     }
1194     else
1195     {
1196      pout->x = pv->x / norm;
1197      pout->y = pv->y / norm;
1198      pout->z = pv->z / norm;
1199     }
1200     return pout;
1201 }
1202
1203 D3DXVECTOR3* WINAPI D3DXVec3Project(D3DXVECTOR3 *pout, CONST D3DXVECTOR3 *pv, CONST D3DVIEWPORT8 *pviewport, CONST D3DXMATRIX *pprojection, CONST D3DXMATRIX *pview, CONST D3DXMATRIX *pworld)
1204 {
1205     D3DXMATRIX m1, m2;
1206     D3DXVECTOR3 vec;
1207
1208     D3DXMatrixMultiply(&m1, pworld, pview);
1209     D3DXMatrixMultiply(&m2, &m1, pprojection);
1210     D3DXVec3TransformCoord(&vec, pv, &m2);
1211     pout->x = pviewport->X +  ( 1.0f + vec.x ) * pviewport->Width / 2.0f;
1212     pout->y = pviewport->Y +  ( 1.0f - vec.y ) * pviewport->Height / 2.0f;
1213     pout->z = pviewport->MinZ + vec.z * ( pviewport->MaxZ - pviewport->MinZ );
1214     return pout;
1215 }
1216
1217 D3DXVECTOR4* WINAPI D3DXVec3Transform(D3DXVECTOR4 *pout, CONST D3DXVECTOR3 *pv, CONST D3DXMATRIX *pm)
1218 {
1219     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];
1220     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];
1221     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];
1222     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];
1223     return pout;
1224 }
1225
1226 D3DXVECTOR3* WINAPI D3DXVec3TransformCoord(D3DXVECTOR3 *pout, CONST D3DXVECTOR3 *pv, CONST D3DXMATRIX *pm)
1227 {
1228     FLOAT norm;
1229
1230     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];
1231
1232     if ( norm )
1233     {
1234      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]) / norm;
1235      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]) / norm;
1236      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]) / norm;
1237     }
1238     else
1239     {
1240      pout->x = 0.0f;
1241      pout->y = 0.0f;
1242      pout->z = 0.0f;
1243     }
1244     return pout;
1245 }
1246
1247 D3DXVECTOR3* WINAPI D3DXVec3TransformNormal(D3DXVECTOR3 *pout, CONST D3DXVECTOR3 *pv, CONST D3DXMATRIX *pm)
1248 {
1249     pout->x = pm->u.m[0][0] * pv->x + pm->u.m[1][0] * pv->y + pm->u.m[2][0] * pv->z;
1250     pout->y = pm->u.m[0][1] * pv->x + pm->u.m[1][1] * pv->y + pm->u.m[2][1] * pv->z;
1251     pout->z = pm->u.m[0][2] * pv->x + pm->u.m[1][2] * pv->y + pm->u.m[2][2] * pv->z;
1252     return pout;
1253
1254 }
1255
1256 D3DXVECTOR3* WINAPI D3DXVec3Unproject(D3DXVECTOR3 *pout, CONST D3DXVECTOR3 *pv, CONST D3DVIEWPORT8 *pviewport, CONST D3DXMATRIX *pprojection, CONST D3DXMATRIX *pview, CONST D3DXMATRIX *pworld)
1257 {
1258     D3DXMATRIX m1, m2, m3;
1259     D3DXVECTOR3 vec;
1260
1261     D3DXMatrixMultiply(&m1, pworld, pview);
1262     D3DXMatrixMultiply(&m2, &m1, pprojection);
1263     D3DXMatrixInverse(&m3, NULL, &m2);
1264     vec.x = 2.0f * ( pv->x - pviewport->X ) / pviewport->Width - 1.0f;
1265     vec.y = 1.0f - 2.0f * ( pv->y - pviewport->Y ) / pviewport->Height;
1266     vec.z = ( pv->z - pviewport->MinZ) / ( pviewport->MaxZ - pviewport->MinZ );
1267     D3DXVec3TransformCoord(pout, &vec, &m3);
1268     return pout;
1269 }
1270
1271 /*_________________D3DXVec4_____________________*/
1272
1273 D3DXVECTOR4* WINAPI D3DXVec4BaryCentric(D3DXVECTOR4 *pout, CONST D3DXVECTOR4 *pv1, CONST D3DXVECTOR4 *pv2, CONST D3DXVECTOR4 *pv3, FLOAT f, FLOAT g)
1274 {
1275     pout->x = (1.0f-f-g) * (pv1->x) + f * (pv2->x) + g * (pv3->x);
1276     pout->y = (1.0f-f-g) * (pv1->y) + f * (pv2->y) + g * (pv3->y);
1277     pout->z = (1.0f-f-g) * (pv1->z) + f * (pv2->z) + g * (pv3->z);
1278     pout->w = (1.0f-f-g) * (pv1->w) + f * (pv2->w) + g * (pv3->w);
1279     return pout;
1280 }
1281
1282 D3DXVECTOR4* WINAPI D3DXVec4CatmullRom(D3DXVECTOR4 *pout, CONST D3DXVECTOR4 *pv0, CONST D3DXVECTOR4 *pv1, CONST D3DXVECTOR4 *pv2, CONST D3DXVECTOR4 *pv3, FLOAT s)
1283 {
1284     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);
1285     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);
1286     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);
1287     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);
1288     return pout;
1289 }
1290
1291 D3DXVECTOR4* WINAPI D3DXVec4Cross(D3DXVECTOR4 *pout, CONST D3DXVECTOR4 *pv1, CONST D3DXVECTOR4 *pv2, CONST D3DXVECTOR4 *pv3)
1292 {
1293     pout->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);
1294     pout->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));
1295     pout->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);
1296     pout->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));
1297     return pout;
1298 }
1299
1300 D3DXVECTOR4* WINAPI D3DXVec4Hermite(D3DXVECTOR4 *pout, CONST D3DXVECTOR4 *pv1, CONST D3DXVECTOR4 *pt1, CONST D3DXVECTOR4 *pv2, CONST D3DXVECTOR4 *pt2, FLOAT s)
1301 {
1302     FLOAT h1, h2, h3, h4;
1303
1304     h1 = 2.0f * s * s * s - 3.0f * s * s + 1.0f;
1305     h2 = s * s * s - 2.0f * s * s + s;
1306     h3 = -2.0f * s * s * s + 3.0f * s * s;
1307     h4 = s * s * s - s * s;
1308
1309     pout->x = h1 * (pv1->x) + h2 * (pt1->x) + h3 * (pv2->x) + h4 * (pt2->x);
1310     pout->y = h1 * (pv1->y) + h2 * (pt1->y) + h3 * (pv2->y) + h4 * (pt2->y);
1311     pout->z = h1 * (pv1->z) + h2 * (pt1->z) + h3 * (pv2->z) + h4 * (pt2->z);
1312     pout->w = h1 * (pv1->w) + h2 * (pt1->w) + h3 * (pv2->w) + h4 * (pt2->w);
1313     return pout;
1314 }
1315
1316 D3DXVECTOR4* WINAPI D3DXVec4Normalize(D3DXVECTOR4 *pout, CONST D3DXVECTOR4 *pv)
1317 {
1318     FLOAT norm;
1319
1320     norm = D3DXVec4Length(pv);
1321     if ( !norm )
1322     {
1323      pout->x = 0.0f;
1324      pout->y = 0.0f;
1325      pout->z = 0.0f;
1326      pout->w = 0.0f;
1327     }
1328     else
1329     {
1330      pout->x = pv->x / norm;
1331      pout->y = pv->y / norm;
1332      pout->z = pv->z / norm;
1333      pout->w = pv->w / norm;
1334     }
1335     return pout;
1336 }
1337
1338 D3DXVECTOR4* WINAPI D3DXVec4Transform(D3DXVECTOR4 *pout, CONST D3DXVECTOR4 *pv, CONST D3DXMATRIX *pm)
1339 {
1340     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] * pv->w;
1341     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] * pv->w;
1342     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] * pv->w;
1343     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] * pv->w;
1344     return pout;
1345 }