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     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     D3DXMATRIX temp;
 222
 223     D3DXMatrixMultiply(&temp, pm1, pm2);
 224     D3DXMatrixTranspose(pout, &temp);
 225     return pout;
 226 }
 227
 228 D3DXMATRIX* WINAPI D3DXMatrixOrthoLH(D3DXMATRIX *pout, FLOAT w, FLOAT h, FLOAT zn, FLOAT zf)
 229 {
 230     D3DXMatrixIdentity(pout);
 231     pout->u.m[0][0] = 2.0f / w;
 232     pout->u.m[1][1] = 2.0f / h;
 233     pout->u.m[2][2] = 1.0f / (zf - zn);
 234     pout->u.m[3][2] = zn / (zn - zf);
 235     return pout;
 236 }
 237
 238 D3DXMATRIX* WINAPI D3DXMatrixOrthoOffCenterLH(D3DXMATRIX *pout, FLOAT l, FLOAT r, FLOAT b, FLOAT t, FLOAT zn, FLOAT zf)
 239 {
 240     D3DXMatrixIdentity(pout);
 241     pout->u.m[0][0] = 2.0f / (r - l);
 242     pout->u.m[1][1] = 2.0f / (t - b);
 243     pout->u.m[2][2] = 1.0f / (zf -zn);
 244     pout->u.m[3][0] = -1.0f -2.0f *l / (r - l);
 245     pout->u.m[3][1] = 1.0f + 2.0f * t / (b - t);
 246     pout->u.m[3][2] = zn / (zn -zf);
 247     return pout;
 248 }
 249
 250 D3DXMATRIX* WINAPI D3DXMatrixOrthoOffCenterRH(D3DXMATRIX *pout, FLOAT l, FLOAT r, FLOAT b, FLOAT t, FLOAT zn, FLOAT zf)
 251 {
 252     D3DXMatrixIdentity(pout);
 253     pout->u.m[0][0] = 2.0f / (r - l);
 254     pout->u.m[1][1] = 2.0f / (t - b);
 255     pout->u.m[2][2] = 1.0f / (zn -zf);
 256     pout->u.m[3][0] = -1.0f -2.0f *l / (r - l);
 257     pout->u.m[3][1] = 1.0f + 2.0f * t / (b - t);
 258     pout->u.m[3][2] = zn / (zn -zf);
 259     return pout;
 260 }
 261
 262 D3DXMATRIX* WINAPI D3DXMatrixOrthoRH(D3DXMATRIX *pout, FLOAT w, FLOAT h, FLOAT zn, FLOAT zf)
 263 {
 264     D3DXMatrixIdentity(pout);
 265     pout->u.m[0][0] = 2.0f / w;
 266     pout->u.m[1][1] = 2.0f / h;
 267     pout->u.m[2][2] = 1.0f / (zn - zf);
 268     pout->u.m[3][2] = zn / (zn - zf);
 269     return pout;
 270 }
 271
 272 D3DXMATRIX* WINAPI D3DXMatrixPerspectiveFovLH(D3DXMATRIX *pout, FLOAT fovy, FLOAT aspect, FLOAT zn, FLOAT zf)
 273 {
 274     D3DXMatrixIdentity(pout);
 275     pout->u.m[0][0] = 1.0f / (aspect * tan(fovy/2.0f));
 276     pout->u.m[1][1] = 1.0f / tan(fovy/2.0f);
 277     pout->u.m[2][2] = zf / (zf - zn);
 278     pout->u.m[2][3] = 1.0f;
 279     pout->u.m[3][2] = (zf * zn) / (zn - zf);
 280     pout->u.m[3][3] = 0.0f;
 281     return pout;
 282 }
 283
 284 D3DXMATRIX* WINAPI D3DXMatrixPerspectiveFovRH(D3DXMATRIX *pout, FLOAT fovy, FLOAT aspect, FLOAT zn, FLOAT zf)
 285 {
 286     D3DXMatrixIdentity(pout);
 287     pout->u.m[0][0] = 1.0f / (aspect * tan(fovy/2.0f));
 288     pout->u.m[1][1] = 1.0f / tan(fovy/2.0f);
 289     pout->u.m[2][2] = zf / (zn - zf);
 290     pout->u.m[2][3] = -1.0f;
 291     pout->u.m[3][2] = (zf * zn) / (zn - zf);
 292     pout->u.m[3][3] = 0.0f;
 293     return pout;
 294 }
 295
 296 D3DXMATRIX* WINAPI D3DXMatrixPerspectiveLH(D3DXMATRIX *pout, FLOAT w, FLOAT h, FLOAT zn, FLOAT zf)
 297 {
 298     D3DXMatrixIdentity(pout);
 299     pout->u.m[0][0] = 2.0f * zn / w;
 300     pout->u.m[1][1] = 2.0f * zn / h;
 301     pout->u.m[2][2] = zf / (zf - zn);
 302     pout->u.m[3][2] = (zn * zf) / (zn - zf);
 303     pout->u.m[2][3] = 1.0f;
 304     pout->u.m[3][3] = 0.0f;
 305     return pout;
 306 }
 307
 308 D3DXMATRIX* WINAPI D3DXMatrixPerspectiveOffCenterLH(D3DXMATRIX *pout, FLOAT l, FLOAT r, FLOAT b, FLOAT t, FLOAT zn, FLOAT zf)
 309 {
 310     D3DXMatrixIdentity(pout);
 311     pout->u.m[0][0] = 2.0f * zn / (r - l);
 312     pout->u.m[1][1] = -2.0f * zn / (b - t);
 313     pout->u.m[2][0] = -1.0f - 2.0f * l / (r - l);
 314     pout->u.m[2][1] = 1.0f + 2.0f * t / (b - t);
 315     pout->u.m[2][2] = - zf / (zn - zf);
 316     pout->u.m[3][2] = (zn * zf) / (zn -zf);
 317     pout->u.m[2][3] = 1.0f;
 318     pout->u.m[3][3] = 0.0f;
 319     return pout;
 320 }
 321
 322 D3DXMATRIX* WINAPI D3DXMatrixPerspectiveOffCenterRH(D3DXMATRIX *pout, FLOAT l, FLOAT r, FLOAT b, FLOAT t, FLOAT zn, FLOAT zf)
 323 {
 324     D3DXMatrixIdentity(pout);
 325     pout->u.m[0][0] = 2.0f * zn / (r - l);
 326     pout->u.m[1][1] = -2.0f * zn / (b - t);
 327     pout->u.m[2][0] = 1.0f + 2.0f * l / (r - l);
 328     pout->u.m[2][1] = -1.0f -2.0f * t / (b - t);
 329     pout->u.m[2][2] = zf / (zn - zf);
 330     pout->u.m[3][2] = (zn * zf) / (zn -zf);
 331     pout->u.m[2][3] = -1.0f;
 332     pout->u.m[3][3] = 0.0f;
 333     return pout;
 334 }
 335
 336 D3DXMATRIX* WINAPI D3DXMatrixPerspectiveRH(D3DXMATRIX *pout, FLOAT w, FLOAT h, FLOAT zn, FLOAT zf)
 337 {
 338     D3DXMatrixIdentity(pout);
 339     pout->u.m[0][0] = 2.0f * zn / w;
 340     pout->u.m[1][1] = 2.0f * zn / h;
 341     pout->u.m[2][2] = zf / (zn - zf);
 342     pout->u.m[3][2] = (zn * zf) / (zn - zf);
 343     pout->u.m[2][3] = -1.0f;
 344     pout->u.m[3][3] = 0.0f;
 345     return pout;
 346 }
 347
 348 D3DXMATRIX* WINAPI D3DXMatrixReflect(D3DXMATRIX *pout, CONST D3DXPLANE *pplane)
 349 {
 350     D3DXPLANE Nplane;
 351
 352     D3DXPlaneNormalize(&Nplane, pplane);
 353     D3DXMatrixIdentity(pout);
 354     pout->u.m[0][0] = 1.0f - 2.0f * Nplane.a * Nplane.a;
 355     pout->u.m[0][1] = -2.0f * Nplane.a * Nplane.b;
 356     pout->u.m[0][2] = -2.0f * Nplane.a * Nplane.c;
 357     pout->u.m[1][0] = -2.0f * Nplane.a * Nplane.b;
 358     pout->u.m[1][1] = 1.0f - 2.0f * Nplane.b * Nplane.b;
 359     pout->u.m[1][2] = -2.0f * Nplane.b * Nplane.c;
 360     pout->u.m[2][0] = -2.0f * Nplane.c * Nplane.a;
 361     pout->u.m[2][1] = -2.0f * Nplane.c * Nplane.b;
 362     pout->u.m[2][2] = 1.0f - 2.0f * Nplane.c * Nplane.c;
 363     pout->u.m[3][0] = -2.0f * Nplane.d * Nplane.a;
 364     pout->u.m[3][1] = -2.0f * Nplane.d * Nplane.b;
 365     pout->u.m[3][2] = -2.0f * Nplane.d * Nplane.c;
 366     return pout;
 367 }
 368
 369 D3DXMATRIX* WINAPI D3DXMatrixRotationAxis(D3DXMATRIX *pout, CONST D3DXVECTOR3 *pv, FLOAT angle)
 370 {
 371     D3DXVECTOR3 v;
 372
 373     D3DXVec3Normalize(&v,pv);
 374     D3DXMatrixIdentity(pout);
 375     pout->u.m[0][0] = (1.0f - cos(angle)) * v.x * v.x + cos(angle);
 376     pout->u.m[1][0] = (1.0f - cos(angle)) * v.x * v.y - sin(angle) * v.z;
 377     pout->u.m[2][0] = (1.0f - cos(angle)) * v.x * v.z + sin(angle) * v.y;
 378     pout->u.m[0][1] = (1.0f - cos(angle)) * v.y * v.x + sin(angle) * v.z;
 379     pout->u.m[1][1] = (1.0f - cos(angle)) * v.y * v.y + cos(angle);
 380     pout->u.m[2][1] = (1.0f - cos(angle)) * v.y * v.z - sin(angle) * v.x;
 381     pout->u.m[0][2] = (1.0f - cos(angle)) * v.z * v.x - sin(angle) * v.y;
 382     pout->u.m[1][2] = (1.0f - cos(angle)) * v.z * v.y + sin(angle) * v.x;
 383     pout->u.m[2][2] = (1.0f - cos(angle)) * v.z * v.z + cos(angle);
 384     return pout;
 385 }
 386
 387 D3DXMATRIX* WINAPI D3DXMatrixRotationQuaternion(D3DXMATRIX *pout, CONST D3DXQUATERNION *pq)
 388 {
 389     D3DXMatrixIdentity(pout);
 390     pout->u.m[0][0] = 1.0f - 2.0f * (pq->y * pq->y + pq->z * pq->z);
 391     pout->u.m[0][1] = 2.0f * (pq->x *pq->y + pq->z * pq->w);
 392     pout->u.m[0][2] = 2.0f * (pq->x * pq->z - pq->y * pq->w);
 393     pout->u.m[1][0] = 2.0f * (pq->x * pq->y - pq->z * pq->w);
 394     pout->u.m[1][1] = 1.0f - 2.0f * (pq->x * pq->x + pq->z * pq->z);
 395     pout->u.m[1][2] = 2.0f * (pq->y *pq->z + pq->x *pq->w);
 396     pout->u.m[2][0] = 2.0f * (pq->x * pq->z + pq->y * pq->w);
 397     pout->u.m[2][1] = 2.0f * (pq->y *pq->z - pq->x *pq->w);
 398     pout->u.m[2][2] = 1.0f - 2.0f * (pq->x * pq->x + pq->y * pq->y);
 399     return pout;
 400 }
 401
 402 D3DXMATRIX* WINAPI D3DXMatrixRotationX(D3DXMATRIX *pout, FLOAT angle)
 403 {
 404     D3DXMatrixIdentity(pout);
 405     pout->u.m[1][1] = cos(angle);
 406     pout->u.m[2][2] = cos(angle);
 407     pout->u.m[1][2] = sin(angle);
 408     pout->u.m[2][1] = -sin(angle);
 409     return pout;
 410 }
 411
 412 D3DXMATRIX* WINAPI D3DXMatrixRotationY(D3DXMATRIX *pout, FLOAT angle)
 413 {
 414     D3DXMatrixIdentity(pout);
 415     pout->u.m[0][0] = cos(angle);
 416     pout->u.m[2][2] = cos(angle);
 417     pout->u.m[0][2] = -sin(angle);
 418     pout->u.m[2][0] = sin(angle);
 419     return pout;
 420 }
 421
 422 D3DXMATRIX* WINAPI D3DXMatrixRotationYawPitchRoll(D3DXMATRIX *pout, FLOAT yaw, FLOAT pitch, FLOAT roll)
 423 {
 424     D3DXMATRIX m, pout1, pout2, pout3;
 425
 426     D3DXMatrixIdentity(&pout3);
 427     D3DXMatrixRotationZ(&m,roll);
 428     D3DXMatrixMultiply(&pout2,&pout3,&m);
 429     D3DXMatrixRotationX(&m,pitch);
 430     D3DXMatrixMultiply(&pout1,&pout2,&m);
 431     D3DXMatrixRotationY(&m,yaw);
 432     D3DXMatrixMultiply(pout,&pout1,&m);
 433     return pout;
 434 }
 435 D3DXMATRIX* WINAPI D3DXMatrixRotationZ(D3DXMATRIX *pout, FLOAT angle)
 436 {
 437     D3DXMatrixIdentity(pout);
 438     pout->u.m[0][0] = cos(angle);
 439     pout->u.m[1][1] = cos(angle);
 440     pout->u.m[0][1] = sin(angle);
 441     pout->u.m[1][0] = -sin(angle);
 442     return pout;
 443 }
 444
 445 D3DXMATRIX* WINAPI D3DXMatrixScaling(D3DXMATRIX *pout, FLOAT sx, FLOAT sy, FLOAT sz)
 446 {
 447     D3DXMatrixIdentity(pout);
 448     pout->u.m[0][0] = sx;
 449     pout->u.m[1][1] = sy;
 450     pout->u.m[2][2] = sz;
 451     return pout;
 452 }
 453
 454 D3DXMATRIX* WINAPI D3DXMatrixShadow(D3DXMATRIX *pout, CONST D3DXVECTOR4 *plight, CONST D3DXPLANE *pplane)
 455 {
 456     D3DXPLANE Nplane;
 457     FLOAT dot;
 458
 459     D3DXPlaneNormalize(&Nplane, pplane);
 460     dot = D3DXPlaneDot(&Nplane, plight);
 461     pout->u.m[0][0] = dot - Nplane.a * plight->x;
 462     pout->u.m[0][1] = -Nplane.a * plight->y;
 463     pout->u.m[0][2] = -Nplane.a * plight->z;
 464     pout->u.m[0][3] = -Nplane.a * plight->w;
 465     pout->u.m[1][0] = -Nplane.b * plight->x;
 466     pout->u.m[1][1] = dot - Nplane.b * plight->y;
 467     pout->u.m[1][2] = -Nplane.b * plight->z;
 468     pout->u.m[1][3] = -Nplane.b * plight->w;
 469     pout->u.m[2][0] = -Nplane.c * plight->x;
 470     pout->u.m[2][1] = -Nplane.c * plight->y;
 471     pout->u.m[2][2] = dot - Nplane.c * plight->z;
 472     pout->u.m[2][3] = -Nplane.c * plight->w;
 473     pout->u.m[3][0] = -Nplane.d * plight->x;
 474     pout->u.m[3][1] = -Nplane.d * plight->y;
 475     pout->u.m[3][2] = -Nplane.d * plight->z;
 476     pout->u.m[3][3] = dot - Nplane.d * plight->w;
 477     return pout;
 478 }
 479
 480 D3DXMATRIX* WINAPI D3DXMatrixTransformation(D3DXMATRIX *pout, CONST D3DXVECTOR3 *pscalingcenter, CONST D3DXQUATERNION *pscalingrotation, CONST D3DXVECTOR3 *pscaling, CONST D3DXVECTOR3 *protationcenter, CONST D3DXQUATERNION *protation, CONST D3DXVECTOR3 *ptranslation)
 481 {
 482     D3DXMATRIX m1, m2, m3, m4, m5, m6, m7, p1, p2, p3, p4, p5;
 483     D3DXQUATERNION prc;
 484     D3DXVECTOR3 psc, pt;
 485
 486     if ( !pscalingcenter )
 487     {
 488      psc.x = 0.0f;
 489      psc.y = 0.0f;
 490      psc.z = 0.0f;
 491     }
 492     else
 493     {
 494      psc.x = pscalingcenter->x;
 495      psc.y = pscalingcenter->y;
 496      psc.z = pscalingcenter->z;
 497     }
 498     if ( !protationcenter )
 499     {
 500      prc.x = 0.0f;
 501      prc.y = 0.0f;
 502      prc.z = 0.0f;
 503     }
 504     else
 505     {
 506      prc.x = protationcenter->x;
 507      prc.y = protationcenter->y;
 508      prc.z = protationcenter->z;
 509     }
 510     if ( !ptranslation )
 511     {
 512      pt.x = 0.0f;
 513      pt.y = 0.0f;
 514      pt.z = 0.0f;
 515     }
 516     else
 517     {
 518      pt.x = ptranslation->x;
 519      pt.y = ptranslation->y;
 520      pt.z = ptranslation->z;
 521     }
 522     D3DXMatrixTranslation(&m1, -psc.x, -psc.y, -psc.z);
 523     if ( !pscalingrotation )
 524     {
 525      D3DXMatrixIdentity(&m2);
 526      D3DXMatrixIdentity(&m4);
 527     }
 528     else
 529     {
 530      D3DXMatrixRotationQuaternion(&m4, pscalingrotation);
 531      D3DXMatrixInverse(&m2, NULL, &m4);
 532     }
 533     if ( !pscaling )
 534     {
 535      D3DXMatrixIdentity(&m3);
 536     }
 537     else
 538     {
 539     D3DXMatrixScaling(&m3, pscaling->x, pscaling->y, pscaling->z);
 540     }
 541     if ( !protation )
 542     {
 543      D3DXMatrixIdentity(&m6);
 544     }
 545     else
 546     {
 547      D3DXMatrixRotationQuaternion(&m6, protation);
 548     }
 549     D3DXMatrixTranslation(&m5, psc.x - prc.x,  psc.y - prc.y,  psc.z - prc.z);
 550     D3DXMatrixTranslation(&m7, prc.x + pt.x, prc.y + pt.y, prc.z + pt.z);
 551     D3DXMatrixMultiply(&p1, &m1, &m2);
 552     D3DXMatrixMultiply(&p2, &p1, &m3);
 553     D3DXMatrixMultiply(&p3, &p2, &m4);
 554     D3DXMatrixMultiply(&p4, &p3, &m5);
 555     D3DXMatrixMultiply(&p5, &p4, &m6);
 556     D3DXMatrixMultiply(pout, &p5, &m7);
 557     return pout;
 558 }
 559
 560 D3DXMATRIX* WINAPI D3DXMatrixTranslation(D3DXMATRIX *pout, FLOAT x, FLOAT y, FLOAT z)
 561 {
 562     D3DXMatrixIdentity(pout);
 563     pout->u.m[3][0] = x;
 564     pout->u.m[3][1] = y;
 565     pout->u.m[3][2] = z;
 566     return pout;
 567 }
 568
 569 D3DXMATRIX* WINAPI D3DXMatrixTranspose(D3DXMATRIX *pout, CONST D3DXMATRIX *pm)
 570 {
 571     CONST D3DXMATRIX m = *pm;
 572     int i,j;
 573
 574     for (i=0; i<4; i++)
 575     {
 576      for (j=0; j<4; j++)
 577      {
 578       pout->u.m[i][j] = m.u.m[j][i];
 579      }
 580     }
 581     return pout;
 582 }
 583
 584 /*_________________D3DXMatrixStack____________________*/
 585
 586 HRESULT WINAPI D3DXCreateMatrixStack(DWORD flags, LPD3DXMATRIXSTACK* ppstack)
 587 {
 588     ID3DXMatrixStackImpl* object;
 589
 590     object = HeapAlloc(GetProcessHeap(), HEAP_ZERO_MEMORY, sizeof(ID3DXMatrixStackImpl));
 591     if ( object == NULL )
 592     {
 593      *ppstack = NULL;
 594      return E_OUTOFMEMORY;
 595     }
 596     object->lpVtbl = &ID3DXMatrixStack_Vtbl;
 597     object->ref = 1;
 598     object->current = 0;
 599     *ppstack = (LPD3DXMATRIXSTACK)object;
 600     return D3D_OK;
 601 }
 602
 603 static HRESULT WINAPI ID3DXMatrixStackImpl_QueryInterface(ID3DXMatrixStack *iface, REFIID riid, void **ppobj)
 604 {
 605     ID3DXMatrixStackImpl *This = (ID3DXMatrixStackImpl *)iface;
 606     if (IsEqualGUID(riid, &IID_IUnknown) || IsEqualGUID(riid, &IID_ID3DXMatrixStack))
 607     {
 608      ID3DXMatrixStack_AddRef(iface);
 609      *ppobj = This;
 610      return S_OK;
 611     }
 612     *ppobj = NULL;
 613     ERR("(%p)->(%s,%p),not found\n",This,debugstr_guid(riid),ppobj);
 614     return E_NOINTERFACE;
 615 }
 616
 617 static ULONG WINAPI ID3DXMatrixStackImpl_AddRef(ID3DXMatrixStack *iface)
 618 {
 619     ID3DXMatrixStackImpl *This = (ID3DXMatrixStackImpl *)iface;
 620     ULONG ref = InterlockedIncrement(&This->ref);
 621     TRACE("(%p) : AddRef from %d\n", This, ref - 1);
 622     return ref;
 623 }
 624
 625 static ULONG WINAPI ID3DXMatrixStackImpl_Release(ID3DXMatrixStack* iface)
 626 {
 627     ID3DXMatrixStackImpl *This = (ID3DXMatrixStackImpl *)iface;
 628     ULONG ref = InterlockedDecrement(&This->ref);
 629     if ( !ref ) HeapFree(GetProcessHeap(), 0, This);
 630     TRACE("(%p) : ReleaseRef to %d\n", This, ref);
 631     return ref;
 632 }
 633
 634 static D3DXMATRIX* WINAPI ID3DXMatrixStackImpl_GetTop(ID3DXMatrixStack *iface)
 635 {
 636     ID3DXMatrixStackImpl *This = (ID3DXMatrixStackImpl *)iface;
 637     FIXME("(%p) : stub\n",This);
 638     return NULL;
 639 }
 640
 641 static HRESULT WINAPI ID3DXMatrixStackImpl_LoadIdentity(ID3DXMatrixStack *iface)
 642 {
 643     ID3DXMatrixStackImpl *This = (ID3DXMatrixStackImpl *)iface;
 644     FIXME("(%p) : stub\n",This);
 645     return D3D_OK;
 646 }
 647
 648 static HRESULT WINAPI ID3DXMatrixStackImpl_LoadMatrix(ID3DXMatrixStack *iface, LPD3DXMATRIX pm)
 649 {
 650     ID3DXMatrixStackImpl *This = (ID3DXMatrixStackImpl *)iface;
 651     FIXME("(%p) : stub\n",This);
 652     return D3D_OK;
 653 }
 654
 655 static HRESULT WINAPI ID3DXMatrixStackImpl_MultMatrix(ID3DXMatrixStack *iface, LPD3DXMATRIX pm)
 656 {
 657     ID3DXMatrixStackImpl *This = (ID3DXMatrixStackImpl *)iface;
 658     FIXME("(%p) : stub\n",This);
 659     return D3D_OK;
 660 }
 661
 662 static HRESULT WINAPI ID3DXMatrixStackImpl_MultMatrixLocal(ID3DXMatrixStack *iface, LPD3DXMATRIX pm)
 663 {
 664     ID3DXMatrixStackImpl *This = (ID3DXMatrixStackImpl *)iface;
 665     FIXME("(%p) : stub\n",This);
 666     return D3D_OK;
 667 }
 668
 669 static HRESULT WINAPI ID3DXMatrixStackImpl_Pop(ID3DXMatrixStack *iface)
 670 {
 671     ID3DXMatrixStackImpl *This = (ID3DXMatrixStackImpl *)iface;
 672     FIXME("(%p) : stub\n",This);
 673     return D3D_OK;
 674 }
 675
 676 static HRESULT WINAPI ID3DXMatrixStackImpl_Push(ID3DXMatrixStack *iface)
 677 {
 678     ID3DXMatrixStackImpl *This = (ID3DXMatrixStackImpl *)iface;
 679     FIXME("(%p) : stub\n",This);
 680     return D3D_OK;
 681 }
 682
 683 static HRESULT WINAPI ID3DXMatrixStackImpl_RotateAxis(ID3DXMatrixStack *iface, LPD3DXVECTOR3 pv, FLOAT angle)
 684 {
 685     ID3DXMatrixStackImpl *This = (ID3DXMatrixStackImpl *)iface;
 686     FIXME("(%p) : stub\n",This);
 687     return D3D_OK;
 688 }
 689
 690 static HRESULT WINAPI ID3DXMatrixStackImpl_RotateAxisLocal(ID3DXMatrixStack *iface, LPD3DXVECTOR3 pv, FLOAT angle)
 691 {
 692     ID3DXMatrixStackImpl *This = (ID3DXMatrixStackImpl *)iface;
 693     FIXME("(%p) : stub\n",This);
 694     return D3D_OK;
 695 }
 696
 697 static HRESULT WINAPI ID3DXMatrixStackImpl_RotateYawPitchRoll(ID3DXMatrixStack *iface, FLOAT x, FLOAT y, FLOAT z)
 698 {
 699     ID3DXMatrixStackImpl *This = (ID3DXMatrixStackImpl *)iface;
 700     FIXME("(%p) : stub\n",This);
 701     return D3D_OK;
 702 }
 703
 704 static HRESULT WINAPI ID3DXMatrixStackImpl_RotateYawPitchRollLocal(ID3DXMatrixStack *iface, FLOAT x, FLOAT y, FLOAT z)
 705 {
 706     ID3DXMatrixStackImpl *This = (ID3DXMatrixStackImpl *)iface;
 707     FIXME("(%p) : stub\n",This);
 708     return D3D_OK;
 709 }
 710
 711 static HRESULT WINAPI ID3DXMatrixStackImpl_Scale(ID3DXMatrixStack *iface, FLOAT x, FLOAT y, FLOAT z)
 712 {
 713     ID3DXMatrixStackImpl *This = (ID3DXMatrixStackImpl *)iface;
 714     FIXME("(%p) : stub\n",This);
 715     return D3D_OK;
 716 }
 717
 718 static HRESULT WINAPI ID3DXMatrixStackImpl_ScaleLocal(ID3DXMatrixStack *iface, FLOAT x, FLOAT y, FLOAT z)
 719 {
 720     ID3DXMatrixStackImpl *This = (ID3DXMatrixStackImpl *)iface;
 721     FIXME("(%p) : stub\n",This);
 722     return D3D_OK;
 723 }
 724
 725 static HRESULT WINAPI ID3DXMatrixStackImpl_Translate(ID3DXMatrixStack *iface, FLOAT x, FLOAT y, FLOAT z)
 726 {
 727     ID3DXMatrixStackImpl *This = (ID3DXMatrixStackImpl *)iface;
 728     FIXME("(%p) : stub\n",This);
 729     return D3D_OK;
 730 }
 731
 732 static HRESULT WINAPI ID3DXMatrixStackImpl_TranslateLocal(ID3DXMatrixStack *iface, FLOAT x, FLOAT y, FLOAT z)
 733 {
 734     ID3DXMatrixStackImpl *This = (ID3DXMatrixStackImpl *)iface;
 735     FIXME("(%p) : stub\n",This);
 736     return D3D_OK;
 737 }
 738
 739 static const ID3DXMatrixStackVtbl ID3DXMatrixStack_Vtbl =
 740 {
 741     ID3DXMatrixStackImpl_QueryInterface,
 742     ID3DXMatrixStackImpl_AddRef,
 743     ID3DXMatrixStackImpl_Release,
 744     ID3DXMatrixStackImpl_Pop,
 745     ID3DXMatrixStackImpl_Push,
 746     ID3DXMatrixStackImpl_LoadIdentity,
 747     ID3DXMatrixStackImpl_LoadMatrix,
 748     ID3DXMatrixStackImpl_MultMatrix,
 749     ID3DXMatrixStackImpl_MultMatrixLocal,
 750     ID3DXMatrixStackImpl_RotateAxis,
 751     ID3DXMatrixStackImpl_RotateAxisLocal,
 752     ID3DXMatrixStackImpl_RotateYawPitchRoll,
 753     ID3DXMatrixStackImpl_RotateYawPitchRollLocal,
 754     ID3DXMatrixStackImpl_Scale,
 755     ID3DXMatrixStackImpl_ScaleLocal,
 756     ID3DXMatrixStackImpl_Translate,
 757     ID3DXMatrixStackImpl_TranslateLocal,
 758     ID3DXMatrixStackImpl_GetTop
 759 };
 760
 761 /*_________________D3DXPLANE________________*/
 762
 763 D3DXPLANE* WINAPI D3DXPlaneFromPointNormal(D3DXPLANE *pout, CONST D3DXVECTOR3 *pvpoint, CONST D3DXVECTOR3 *pvnormal)
 764 {
 765     pout->a = pvnormal->x;
 766     pout->b = pvnormal->y;
 767     pout->c = pvnormal->z;
 768     pout->d = -D3DXVec3Dot(pvpoint, pvnormal);
 769     return pout;
 770 }
 771
 772 D3DXPLANE* WINAPI D3DXPlaneFromPoints(D3DXPLANE *pout, CONST D3DXVECTOR3 *pv1, CONST D3DXVECTOR3 *pv2, CONST D3DXVECTOR3 *pv3)
 773 {
 774     D3DXVECTOR3 edge1, edge2, normal, Nnormal;
 775
 776     edge1.x = 0.0f; edge1.y = 0.0f; edge1.z = 0.0f;
 777     edge2.x = 0.0f; edge2.y = 0.0f; edge2.z = 0.0f;
 778     D3DXVec3Subtract(&edge1, pv2, pv1);
 779     D3DXVec3Subtract(&edge2, pv3, pv1);
 780     D3DXVec3Cross(&normal, &edge1, &edge2);
 781     D3DXVec3Normalize(&Nnormal, &normal);
 782     D3DXPlaneFromPointNormal(pout, pv1, &Nnormal);
 783     return pout;
 784 }
 785
 786 D3DXVECTOR3* WINAPI D3DXPlaneIntersectLine(D3DXVECTOR3 *pout, CONST D3DXPLANE *pp, CONST D3DXVECTOR3 *pv1, CONST D3DXVECTOR3 *pv2)
 787 {
 788     D3DXVECTOR3 direction, normal;
 789     FLOAT dot, temp;
 790
 791     normal.x = pp->a;
 792     normal.y = pp->b;
 793     normal.z = pp->c;
 794     direction.x = pv2->x - pv1->x;
 795     direction.y = pv2->y - pv1->y;
 796     direction.z = pv2->z - pv1->z;
 797     dot = D3DXVec3Dot(&normal, &direction);
 798     if ( !dot ) return NULL;
 799     temp = ( pp->d + D3DXVec3Dot(&normal, pv1) ) / dot;
 800     pout->x = pv1->x - temp * direction.x;
 801     pout->y = pv1->y - temp * direction.y;
 802     pout->z = pv1->z - temp * direction.z;
 803     return pout;
 804 }
 805
 806 D3DXPLANE* WINAPI D3DXPlaneNormalize(D3DXPLANE *pout, CONST D3DXPLANE *pp)
 807 {
 808     FLOAT norm;
 809
 810     norm = sqrt(pp->a * pp->a + pp->b * pp->b + pp->c * pp->c);
 811     if ( norm )
 812     {
 813      pout->a = pp->a / norm;
 814      pout->b = pp->b / norm;
 815      pout->c = pp->c / norm;
 816      pout->d = pp->d / norm;
 817     }
 818     else
 819     {
 820      pout->a = 0.0f;
 821      pout->b = 0.0f;
 822      pout->c = 0.0f;
 823      pout->d = 0.0f;
 824     }
 825     return pout;
 826 }
 827
 828 D3DXPLANE* WINAPI D3DXPlaneTransform(D3DXPLANE *pout, CONST D3DXPLANE *pplane, CONST D3DXMATRIX *pm)
 829 {
 830     CONST D3DXPLANE plane = *pplane;
 831     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;
 832     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;
 833     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;
 834     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;
 835     return pout;
 836 }
 837
 838 /*_________________D3DXQUATERNION________________*/
 839
 840 D3DXQUATERNION* WINAPI D3DXQuaternionBaryCentric(D3DXQUATERNION *pout, CONST D3DXQUATERNION *pq1, CONST D3DXQUATERNION *pq2, CONST D3DXQUATERNION *pq3, FLOAT f, FLOAT g)
 841 {
 842     D3DXQUATERNION temp1, temp2;
 843     D3DXQuaternionSlerp(pout, D3DXQuaternionSlerp(&temp1, pq1, pq2, f + g), D3DXQuaternionSlerp(&temp2, pq1, pq3, f+g), g / (f + g));
 844     return pout;
 845 }
 846
 847 D3DXQUATERNION* WINAPI D3DXQuaternionExp(D3DXQUATERNION *pout, CONST D3DXQUATERNION *pq)
 848 {
 849     FLOAT norm;
 850
 851     norm = sqrt(pq->x * pq->x + pq->y * pq->y + pq->z * pq->z);
 852     if (norm )
 853     {
 854      pout->x = sin(norm) * pq->x / norm;
 855      pout->y = sin(norm) * pq->y / norm;
 856      pout->z = sin(norm) * pq->z / norm;
 857      pout->w = cos(norm);
 858     }
 859     else
 860     {
 861      pout->x = 0.0f;
 862      pout->y = 0.0f;
 863      pout->z = 0.0f;
 864      pout->w = 1.0f;
 865     }
 866     return pout;
 867 }
 868
 869 D3DXQUATERNION* WINAPI D3DXQuaternionInverse(D3DXQUATERNION *pout, CONST D3DXQUATERNION *pq)
 870 {
 871     D3DXQUATERNION temp;
 872     FLOAT norm;
 873
 874     temp.x = 0.0f;
 875     temp.y = 0.0f;
 876     temp.z = 0.0f;
 877     temp.w = 0.0f;
 878
 879     norm = D3DXQuaternionLengthSq(pq);
 880     if ( !norm )
 881     {
 882      pout->x = 0.0f;
 883      pout->y = 0.0f;
 884      pout->z = 0.0f;
 885      pout->w = 0.0f;
 886     }
 887     else
 888     {
 889     D3DXQuaternionConjugate(&temp, pq);
 890     pout->x = temp.x / norm;
 891     pout->y = temp.y / norm;
 892     pout->z = temp.z / norm;
 893     pout->w = temp.w / norm;
 894     }
 895     return pout;
 896 }
 897
 898 D3DXQUATERNION* WINAPI D3DXQuaternionLn(D3DXQUATERNION *pout, CONST D3DXQUATERNION *pq)
 899 {
 900     FLOAT norm, normvec, theta;
 901
 902     norm = D3DXQuaternionLengthSq(pq);
 903     if ( norm > 1.0001f )
 904     {
 905      pout->x = pq->x;
 906      pout->y = pq->y;
 907      pout->z = pq->z;
 908      pout->w = 0.0f;
 909     }
 910     else if( norm > 0.99999f)
 911     {
 912      normvec = sqrt( pq->x * pq->x + pq->y * pq->y + pq->z * pq->z );
 913      theta = atan2(normvec, pq->w) / normvec;
 914      pout->x = theta * pq->x;
 915      pout->y = theta * pq->y;
 916      pout->z = theta * pq->z;
 917      pout->w = 0.0f;
 918     }
 919     else
 920     {
 921      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);
 922     }
 923     return pout;
 924 }
 925
 926 D3DXQUATERNION* WINAPI D3DXQuaternionMultiply(D3DXQUATERNION *pout, CONST D3DXQUATERNION *pq1, CONST D3DXQUATERNION *pq2)
 927 {
 928     D3DXQUATERNION out;
 929     out.x = pq2->w * pq1->x + pq2->x * pq1->w + pq2->y * pq1->z - pq2->z * pq1->y;
 930     out.y = pq2->w * pq1->y - pq2->x * pq1->z + pq2->y * pq1->w + pq2->z * pq1->x;
 931     out.z = pq2->w * pq1->z + pq2->x * pq1->y - pq2->y * pq1->x + pq2->z * pq1->w;
 932     out.w = pq2->w * pq1->w - pq2->x * pq1->x - pq2->y * pq1->y - pq2->z * pq1->z;
 933     *pout = out;
 934     return pout;
 935 }
 936
 937 D3DXQUATERNION* WINAPI D3DXQuaternionNormalize(D3DXQUATERNION *pout, CONST D3DXQUATERNION *pq)
 938 {
 939     FLOAT norm;
 940
 941     norm = D3DXQuaternionLength(pq);
 942     if ( !norm )
 943     {
 944      pout->x = 0.0f;
 945      pout->y = 0.0f;
 946      pout->z = 0.0f;
 947      pout->w = 0.0f;
 948     }
 949     else
 950     {
 951      pout->x = pq->x / norm;
 952      pout->y = pq->y / norm;
 953      pout->z = pq->z / norm;
 954      pout->w = pq->w / norm;
 955     }
 956     return pout;
 957 }
 958
 959 D3DXQUATERNION* WINAPI D3DXQuaternionRotationAxis(D3DXQUATERNION *pout, CONST D3DXVECTOR3 *pv, FLOAT angle)
 960 {
 961     D3DXVECTOR3 temp;
 962
 963     D3DXVec3Normalize(&temp, pv);
 964     pout->x = sin( angle / 2.0f ) * temp.x;
 965     pout->y = sin( angle / 2.0f ) * temp.y;
 966     pout->z = sin( angle / 2.0f ) * temp.z;
 967     pout->w = cos( angle / 2.0f );
 968     return pout;
 969 }
 970
 971 D3DXQUATERNION* WINAPI D3DXQuaternionRotationMatrix(D3DXQUATERNION *pout, CONST D3DXMATRIX *pm)
 972 {
 973     int i, maxi;
 974     FLOAT maxdiag, S, trace;
 975
 976     trace = pm->u.m[0][0] + pm->u.m[1][1] + pm->u.m[2][2] + 1.0f;
 977     if ( trace > 0.0f)
 978     {
 979      pout->x = ( pm->u.m[1][2] - pm->u.m[2][1] ) / ( 2.0f * sqrt(trace) );
 980      pout->y = ( pm->u.m[2][0] - pm->u.m[0][2] ) / ( 2.0f * sqrt(trace) );
 981      pout->z = ( pm->u.m[0][1] - pm->u.m[1][0] ) / ( 2.0f * sqrt(trace) );
 982      pout->w = sqrt(trace) / 2.0f;
 983      return pout;
 984      }
 985     maxi = 0;
 986     maxdiag = pm->u.m[0][0];
 987     for (i=1; i<3; i++)
 988     {
 989      if ( pm->u.m[i][i] > maxdiag )
 990      {
 991       maxi = i;
 992       maxdiag = pm->u.m[i][i];
 993      }
 994     }
 995     switch( maxi )
 996     {
 997      case 0:
 998        S = 2.0f * sqrt(1.0f + pm->u.m[0][0] - pm->u.m[1][1] - pm->u.m[2][2]);
 999        pout->x = 0.25f * S;
1000        pout->y = ( pm->u.m[0][1] + pm->u.m[1][0] ) / S;
1001        pout->z = ( pm->u.m[0][2] + pm->u.m[2][0] ) / S;
1002        pout->w = ( pm->u.m[1][2] - pm->u.m[2][1] ) / S;
1003      break;
1004      case 1:
1005        S = 2.0f * sqrt(1.0f + pm->u.m[1][1] - pm->u.m[0][0] - pm->u.m[2][2]);
1006        pout->x = ( pm->u.m[0][1] + pm->u.m[1][0] ) / S;
1007        pout->y = 0.25f * S;
1008        pout->z = ( pm->u.m[1][2] + pm->u.m[2][1] ) / S;
1009        pout->w = ( pm->u.m[2][0] - pm->u.m[0][2] ) / S;
1010      break;
1011      case 2:
1012        S = 2.0f * sqrt(1.0f + pm->u.m[2][2] - pm->u.m[0][0] - pm->u.m[1][1]);
1013        pout->x = ( pm->u.m[0][2] + pm->u.m[2][0] ) / S;
1014        pout->y = ( pm->u.m[1][2] + pm->u.m[2][1] ) / S;
1015        pout->z = 0.25f * S;
1016        pout->w = ( pm->u.m[0][1] - pm->u.m[1][0] ) / S;
1017      break;
1018     }
1019     return pout;
1020 }
1021
1022 D3DXQUATERNION* WINAPI D3DXQuaternionRotationYawPitchRoll(D3DXQUATERNION *pout, FLOAT yaw, FLOAT pitch, FLOAT roll)
1023 {
1024     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);
1025     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);
1026     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);
1027     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);
1028     return pout;
1029 }
1030
1031 D3DXQUATERNION* WINAPI D3DXQuaternionSlerp(D3DXQUATERNION *pout, CONST D3DXQUATERNION *pq1, CONST D3DXQUATERNION *pq2, FLOAT t)
1032 {
1033     FLOAT dot, epsilon;
1034
1035     epsilon = 1.0f;
1036     dot = D3DXQuaternionDot(pq1, pq2);
1037     if ( dot < 0.0f) epsilon = -1.0f;
1038     pout->x = (1.0f - t) * pq1->x + epsilon * t * pq2->x;
1039     pout->y = (1.0f - t) * pq1->y + epsilon * t * pq2->y;
1040     pout->z = (1.0f - t) * pq1->z + epsilon * t * pq2->z;
1041     pout->w = (1.0f - t) * pq1->w + epsilon * t * pq2->w;
1042     return pout;
1043 }
1044
1045 D3DXQUATERNION* WINAPI D3DXQuaternionSquad(D3DXQUATERNION *pout, CONST D3DXQUATERNION *pq1, CONST D3DXQUATERNION *pq2, CONST D3DXQUATERNION *pq3, CONST D3DXQUATERNION *pq4, FLOAT t)
1046 {
1047     D3DXQUATERNION temp1, temp2;
1048
1049     D3DXQuaternionSlerp(pout, D3DXQuaternionSlerp(&temp1, pq1, pq4, t), D3DXQuaternionSlerp(&temp2, pq2, pq3, t), 2.0f * t * (1.0f - t));
1050     return pout;
1051 }
1052
1053 void WINAPI D3DXQuaternionToAxisAngle(CONST D3DXQUATERNION *pq, D3DXVECTOR3 *paxis, FLOAT *pangle)
1054 {
1055     FLOAT norm;
1056
1057     *pangle = 0.0f;
1058     norm = D3DXQuaternionLength(pq);
1059     if ( norm )
1060     {
1061      paxis->x = pq->x / norm;
1062      paxis->y = pq->y / norm;
1063      paxis->z = pq->z / norm;
1064      if ( fabs( pq->w ) <= 1.0f ) *pangle = 2.0f * acos(pq->w);
1065     }
1066     else
1067     {
1068      paxis->x = 1.0f;
1069      paxis->y = 0.0f;
1070      paxis->z = 0.0f;
1071     }
1072 }
1073
1074 /*_________________D3DXVec2_____________________*/
1075
1076 D3DXVECTOR2* WINAPI D3DXVec2BaryCentric(D3DXVECTOR2 *pout, CONST D3DXVECTOR2 *pv1, CONST D3DXVECTOR2 *pv2, CONST D3DXVECTOR2 *pv3, FLOAT f, FLOAT g)
1077 {
1078     pout->x = (1.0f-f-g) * (pv1->x) + f * (pv2->x) + g * (pv3->x);
1079     pout->y = (1.0f-f-g) * (pv1->y) + f * (pv2->y) + g * (pv3->y);
1080     return pout;
1081 }
1082
1083 D3DXVECTOR2* WINAPI D3DXVec2CatmullRom(D3DXVECTOR2 *pout, CONST D3DXVECTOR2 *pv0, CONST D3DXVECTOR2 *pv1, CONST D3DXVECTOR2 *pv2, CONST D3DXVECTOR2 *pv3, FLOAT s)
1084 {
1085     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);
1086     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);
1087     return pout;
1088 }
1089
1090 D3DXVECTOR2* WINAPI D3DXVec2Hermite(D3DXVECTOR2 *pout, CONST D3DXVECTOR2 *pv1, CONST D3DXVECTOR2 *pt1, CONST D3DXVECTOR2 *pv2, CONST D3DXVECTOR2 *pt2, FLOAT s)
1091 {
1092     FLOAT h1, h2, h3, h4;
1093
1094     h1 = 2.0f * s * s * s - 3.0f * s * s + 1.0f;
1095     h2 = s * s * s - 2.0f * s * s + s;
1096     h3 = -2.0f * s * s * s + 3.0f * s * s;
1097     h4 = s * s * s - s * s;
1098
1099     pout->x = h1 * (pv1->x) + h2 * (pt1->x) + h3 * (pv2->x) + h4 * (pt2->x);
1100     pout->y = h1 * (pv1->y) + h2 * (pt1->y) + h3 * (pv2->y) + h4 * (pt2->y);
1101     return pout;
1102 }
1103
1104 D3DXVECTOR2* WINAPI D3DXVec2Normalize(D3DXVECTOR2 *pout, CONST D3DXVECTOR2 *pv)
1105 {
1106     FLOAT norm;
1107
1108     norm = D3DXVec2Length(pv);
1109     if ( !norm )
1110     {
1111      pout->x = 0.0f;
1112      pout->y = 0.0f;
1113     }
1114     else
1115     {
1116      pout->x = pv->x / norm;
1117      pout->y = pv->y / norm;
1118     }
1119     return pout;
1120 }
1121
1122 D3DXVECTOR4* WINAPI D3DXVec2Transform(D3DXVECTOR4 *pout, CONST D3DXVECTOR2 *pv, CONST D3DXMATRIX *pm)
1123 {
1124     pout->x = pm->u.m[0][0] * pv->x + pm->u.m[1][0] * pv->y  + pm->u.m[3][0];
1125     pout->y = pm->u.m[0][1] * pv->x + pm->u.m[1][1] * pv->y  + pm->u.m[3][1];
1126     pout->z = pm->u.m[0][2] * pv->x + pm->u.m[1][2] * pv->y  + pm->u.m[3][2];
1127     pout->w = pm->u.m[0][3] * pv->x + pm->u.m[1][3] * pv->y  + pm->u.m[3][3];
1128     return pout;
1129 }
1130
1131 D3DXVECTOR2* WINAPI D3DXVec2TransformCoord(D3DXVECTOR2 *pout, CONST D3DXVECTOR2 *pv, CONST D3DXMATRIX *pm)
1132 {
1133     FLOAT norm;
1134
1135     norm = pm->u.m[0][3] * pv->x + pm->u.m[1][3] * pv->y + pm->u.m[3][3];
1136     if ( norm )
1137     {
1138      CONST D3DXVECTOR2 v = *pv;
1139      pout->x = (pm->u.m[0][0] * v.x + pm->u.m[1][0] * v.y + pm->u.m[3][0]) / norm;
1140      pout->y = (pm->u.m[0][1] * v.x + pm->u.m[1][1] * v.y + pm->u.m[3][1]) / norm;
1141     }
1142     else
1143     {
1144      pout->x = 0.0f;
1145      pout->y = 0.0f;
1146     }
1147     return pout;
1148 }
1149
1150 D3DXVECTOR2* WINAPI D3DXVec2TransformNormal(D3DXVECTOR2 *pout, CONST D3DXVECTOR2 *pv, CONST D3DXMATRIX *pm)
1151 {
1152     CONST D3DXVECTOR2 v = *pv;
1153     pout->x = pm->u.m[0][0] * v.x + pm->u.m[1][0] * v.y;
1154     pout->y = pm->u.m[0][1] * v.x + pm->u.m[1][1] * v.y;
1155     return pout;
1156 }
1157
1158 /*_________________D3DXVec3_____________________*/
1159
1160 D3DXVECTOR3* WINAPI D3DXVec3BaryCentric(D3DXVECTOR3 *pout, CONST D3DXVECTOR3 *pv1, CONST D3DXVECTOR3 *pv2, CONST D3DXVECTOR3 *pv3, FLOAT f, FLOAT g)
1161 {
1162     pout->x = (1.0f-f-g) * (pv1->x) + f * (pv2->x) + g * (pv3->x);
1163     pout->y = (1.0f-f-g) * (pv1->y) + f * (pv2->y) + g * (pv3->y);
1164     pout->z = (1.0f-f-g) * (pv1->z) + f * (pv2->z) + g * (pv3->z);
1165     return pout;
1166 }
1167
1168 D3DXVECTOR3* WINAPI D3DXVec3CatmullRom( D3DXVECTOR3 *pout, CONST D3DXVECTOR3 *pv0, CONST D3DXVECTOR3 *pv1, CONST D3DXVECTOR3 *pv2, CONST D3DXVECTOR3 *pv3, FLOAT s)
1169 {
1170     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);
1171     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);
1172     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);
1173     return pout;
1174 }
1175
1176 D3DXVECTOR3* WINAPI D3DXVec3Hermite(D3DXVECTOR3 *pout, CONST D3DXVECTOR3 *pv1, CONST D3DXVECTOR3 *pt1, CONST D3DXVECTOR3 *pv2, CONST D3DXVECTOR3 *pt2, FLOAT s)
1177 {
1178     FLOAT h1, h2, h3, h4;
1179
1180     h1 = 2.0f * s * s * s - 3.0f * s * s + 1.0f;
1181     h2 = s * s * s - 2.0f * s * s + s;
1182     h3 = -2.0f * s * s * s + 3.0f * s * s;
1183     h4 = s * s * s - s * s;
1184
1185     pout->x = h1 * (pv1->x) + h2 * (pt1->x) + h3 * (pv2->x) + h4 * (pt2->x);
1186     pout->y = h1 * (pv1->y) + h2 * (pt1->y) + h3 * (pv2->y) + h4 * (pt2->y);
1187     pout->z = h1 * (pv1->z) + h2 * (pt1->z) + h3 * (pv2->z) + h4 * (pt2->z);
1188     return pout;
1189 }
1190
1191 D3DXVECTOR3* WINAPI D3DXVec3Normalize(D3DXVECTOR3 *pout, CONST D3DXVECTOR3 *pv)
1192 {
1193     FLOAT norm;
1194
1195     norm = D3DXVec3Length(pv);
1196     if ( !norm )
1197     {
1198      pout->x = 0.0f;
1199      pout->y = 0.0f;
1200      pout->z = 0.0f;
1201     }
1202     else
1203     {
1204      pout->x = pv->x / norm;
1205      pout->y = pv->y / norm;
1206      pout->z = pv->z / norm;
1207     }
1208     return pout;
1209 }
1210
1211 D3DXVECTOR3* WINAPI D3DXVec3Project(D3DXVECTOR3 *pout, CONST D3DXVECTOR3 *pv, CONST D3DVIEWPORT8 *pviewport, CONST D3DXMATRIX *pprojection, CONST D3DXMATRIX *pview, CONST D3DXMATRIX *pworld)
1212 {
1213     D3DXMATRIX m1, m2;
1214     D3DXVECTOR3 vec;
1215
1216     D3DXMatrixMultiply(&m1, pworld, pview);
1217     D3DXMatrixMultiply(&m2, &m1, pprojection);
1218     D3DXVec3TransformCoord(&vec, pv, &m2);
1219     pout->x = pviewport->X +  ( 1.0f + vec.x ) * pviewport->Width / 2.0f;
1220     pout->y = pviewport->Y +  ( 1.0f - vec.y ) * pviewport->Height / 2.0f;
1221     pout->z = pviewport->MinZ + vec.z * ( pviewport->MaxZ - pviewport->MinZ );
1222     return pout;
1223 }
1224
1225 D3DXVECTOR4* WINAPI D3DXVec3Transform(D3DXVECTOR4 *pout, CONST D3DXVECTOR3 *pv, CONST D3DXMATRIX *pm)
1226 {
1227     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];
1228     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];
1229     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];
1230     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];
1231     return pout;
1232 }
1233
1234 D3DXVECTOR3* WINAPI D3DXVec3TransformCoord(D3DXVECTOR3 *pout, CONST D3DXVECTOR3 *pv, CONST D3DXMATRIX *pm)
1235 {
1236     FLOAT norm;
1237
1238     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];
1239
1240     if ( norm )
1241     {
1242      CONST D3DXVECTOR3 v = *pv;
1243      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;
1244      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;
1245      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;
1246     }
1247     else
1248     {
1249      pout->x = 0.0f;
1250      pout->y = 0.0f;
1251      pout->z = 0.0f;
1252     }
1253     return pout;
1254 }
1255
1256 D3DXVECTOR3* WINAPI D3DXVec3TransformNormal(D3DXVECTOR3 *pout, CONST D3DXVECTOR3 *pv, CONST D3DXMATRIX *pm)
1257 {
1258     CONST D3DXVECTOR3 v = *pv;
1259     pout->x = pm->u.m[0][0] * v.x + pm->u.m[1][0] * v.y + pm->u.m[2][0] * v.z;
1260     pout->y = pm->u.m[0][1] * v.x + pm->u.m[1][1] * v.y + pm->u.m[2][1] * v.z;
1261     pout->z = pm->u.m[0][2] * v.x + pm->u.m[1][2] * v.y + pm->u.m[2][2] * v.z;
1262     return pout;
1263
1264 }
1265
1266 D3DXVECTOR3* WINAPI D3DXVec3Unproject(D3DXVECTOR3 *pout, CONST D3DXVECTOR3 *pv, CONST D3DVIEWPORT8 *pviewport, CONST D3DXMATRIX *pprojection, CONST D3DXMATRIX *pview, CONST D3DXMATRIX *pworld)
1267 {
1268     D3DXMATRIX m1, m2, m3;
1269     D3DXVECTOR3 vec;
1270
1271     D3DXMatrixMultiply(&m1, pworld, pview);
1272     D3DXMatrixMultiply(&m2, &m1, pprojection);
1273     D3DXMatrixInverse(&m3, NULL, &m2);
1274     vec.x = 2.0f * ( pv->x - pviewport->X ) / pviewport->Width - 1.0f;
1275     vec.y = 1.0f - 2.0f * ( pv->y - pviewport->Y ) / pviewport->Height;
1276     vec.z = ( pv->z - pviewport->MinZ) / ( pviewport->MaxZ - pviewport->MinZ );
1277     D3DXVec3TransformCoord(pout, &vec, &m3);
1278     return pout;
1279 }
1280
1281 /*_________________D3DXVec4_____________________*/
1282
1283 D3DXVECTOR4* WINAPI D3DXVec4BaryCentric(D3DXVECTOR4 *pout, CONST D3DXVECTOR4 *pv1, CONST D3DXVECTOR4 *pv2, CONST D3DXVECTOR4 *pv3, FLOAT f, FLOAT g)
1284 {
1285     pout->x = (1.0f-f-g) * (pv1->x) + f * (pv2->x) + g * (pv3->x);
1286     pout->y = (1.0f-f-g) * (pv1->y) + f * (pv2->y) + g * (pv3->y);
1287     pout->z = (1.0f-f-g) * (pv1->z) + f * (pv2->z) + g * (pv3->z);
1288     pout->w = (1.0f-f-g) * (pv1->w) + f * (pv2->w) + g * (pv3->w);
1289     return pout;
1290 }
1291
1292 D3DXVECTOR4* WINAPI D3DXVec4CatmullRom(D3DXVECTOR4 *pout, CONST D3DXVECTOR4 *pv0, CONST D3DXVECTOR4 *pv1, CONST D3DXVECTOR4 *pv2, CONST D3DXVECTOR4 *pv3, FLOAT s)
1293 {
1294     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);
1295     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);
1296     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);
1297     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);
1298     return pout;
1299 }
1300
1301 D3DXVECTOR4* WINAPI D3DXVec4Cross(D3DXVECTOR4 *pout, CONST D3DXVECTOR4 *pv1, CONST D3DXVECTOR4 *pv2, CONST D3DXVECTOR4 *pv3)
1302 {
1303     D3DXVECTOR4 out;
1304     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);
1305     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));
1306     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);
1307     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));
1308     *pout = out;
1309     return pout;
1310 }
1311
1312 D3DXVECTOR4* WINAPI D3DXVec4Hermite(D3DXVECTOR4 *pout, CONST D3DXVECTOR4 *pv1, CONST D3DXVECTOR4 *pt1, CONST D3DXVECTOR4 *pv2, CONST D3DXVECTOR4 *pt2, FLOAT s)
1313 {
1314     FLOAT h1, h2, h3, h4;
1315
1316     h1 = 2.0f * s * s * s - 3.0f * s * s + 1.0f;
1317     h2 = s * s * s - 2.0f * s * s + s;
1318     h3 = -2.0f * s * s * s + 3.0f * s * s;
1319     h4 = s * s * s - s * s;
1320
1321     pout->x = h1 * (pv1->x) + h2 * (pt1->x) + h3 * (pv2->x) + h4 * (pt2->x);
1322     pout->y = h1 * (pv1->y) + h2 * (pt1->y) + h3 * (pv2->y) + h4 * (pt2->y);
1323     pout->z = h1 * (pv1->z) + h2 * (pt1->z) + h3 * (pv2->z) + h4 * (pt2->z);
1324     pout->w = h1 * (pv1->w) + h2 * (pt1->w) + h3 * (pv2->w) + h4 * (pt2->w);
1325     return pout;
1326 }
1327
1328 D3DXVECTOR4* WINAPI D3DXVec4Normalize(D3DXVECTOR4 *pout, CONST D3DXVECTOR4 *pv)
1329 {
1330     FLOAT norm;
1331
1332     norm = D3DXVec4Length(pv);
1333     if ( !norm )
1334     {
1335      pout->x = 0.0f;
1336      pout->y = 0.0f;
1337      pout->z = 0.0f;
1338      pout->w = 0.0f;
1339     }
1340     else
1341     {
1342      pout->x = pv->x / norm;
1343      pout->y = pv->y / norm;
1344      pout->z = pv->z / norm;
1345      pout->w = pv->w / norm;
1346     }
1347     return pout;
1348 }
1349
1350 D3DXVECTOR4* WINAPI D3DXVec4Transform(D3DXVECTOR4 *pout, CONST D3DXVECTOR4 *pv, CONST D3DXMATRIX *pm)
1351 {
1352     D3DXVECTOR4 out;
1353     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;
1354     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;
1355     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;
1356     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;
1357     *pout = out;
1358     return pout;
1359 }