dlls/d3dx8/math.c

   1 /*
   2  * Copyright 2007 David Adam
   3  *
   4  * This library is free software; you can redistribute it and/or
   5  * modify it under the terms of the GNU Lesser General Public
   6  * License as published by the Free Software Foundation; either
   7  * version 2.1 of the License, or (at your option) any later version.
   8  *
   9  * This library is distributed in the hope that it will be useful,
  10  * but WITHOUT ANY WARRANTY; without even the implied warranty of
  11  * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
  12  * Lesser General Public License for more details.
  13  *
  14  * You should have received a copy of the GNU Lesser General Public
  15  * License along with this library; if not, write to the Free Software
  16  * Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301, USA
  17  */
  18
  19 #include <stdio.h>
  20 #include <stdlib.h>
  21 #include <stdarg.h>
  22 #include <assert.h>
  23
  24 #define NONAMELESSUNION
  25
  26 #include "windef.h"
  27 #include "winbase.h"
  28 #include "wingdi.h"
  29 #include "d3dx8_private.h"
  30
  31 #include "wine/debug.h"
  32
  33 WINE_DEFAULT_DEBUG_CHANNEL(d3dx8);
  34
  35 static const ID3DXMatrixStackVtbl ID3DXMatrixStack_Vtbl;
  36
  37 /*_________________D3DXColor____________________*/
  38
  39 D3DXCOLOR* WINAPI D3DXColorAdjustContrast(D3DXCOLOR *pout, CONST D3DXCOLOR *pc, FLOAT s)
  40 {
  41     pout->r = 0.5f + s * (pc->r - 0.5f);
  42     pout->g = 0.5f + s * (pc->g - 0.5f);
  43     pout->b = 0.5f + s * (pc->b - 0.5f);
  44     pout->a = pc->a;
  45     return pout;
  46 }
  47
  48 D3DXCOLOR* WINAPI D3DXColorAdjustSaturation(D3DXCOLOR *pout, CONST D3DXCOLOR *pc, FLOAT s)
  49 {
  50     FLOAT grey;
  51
  52     grey = pc->r * 0.2125f + pc->g * 0.7154f + pc->b * 0.0721f;
  53     pout->r = grey + s * (pc->r - grey);
  54     pout->g = grey + s * (pc->g - grey);
  55     pout->b = grey + s * (pc->b - grey);
  56     pout->a = pc->a;
  57     return pout;
  58 }
  59
  60 /*_________________D3DXMatrix____________________*/
  61
  62 D3DXMATRIX* WINAPI D3DXMatrixAffineTransformation(D3DXMATRIX *pout, FLOAT scaling, CONST D3DXVECTOR3 *rotationcenter, CONST D3DXQUATERNION *rotation, CONST D3DXVECTOR3 *translation)
  63 {
  64     D3DXMATRIX m1, m2, m3, m4, m5;
  65
  66     D3DXMatrixScaling(&m1, scaling, scaling, scaling);
  67     if ( !rotationcenter )
  68     {
  69      D3DXMatrixIdentity(&m2);
  70      D3DXMatrixIdentity(&m4);
  71     }
  72     else
  73     {
  74      D3DXMatrixTranslation(&m2, -rotationcenter->x, -rotationcenter->y, -rotationcenter->z);
  75      D3DXMatrixTranslation(&m4, rotationcenter->x, rotationcenter->y, rotationcenter->z);
  76     }
  77     if ( !rotation )
  78     {
  79      D3DXMatrixIdentity(&m3);
  80     }
  81     else
  82     {
  83      D3DXMatrixRotationQuaternion(&m3, rotation);
  84     }
  85     if ( !translation )
  86     {
  87      D3DXMatrixIdentity(&m5);
  88     }
  89     else
  90     {
  91      D3DXMatrixTranslation(&m5, translation->x, translation->y, translation->z);
  92     }
  93     D3DXMatrixMultiply(&m1, &m1, &m2);
  94     D3DXMatrixMultiply(&m1, &m1, &m3);
  95     D3DXMatrixMultiply(&m1, &m1, &m4);
  96     D3DXMatrixMultiply(pout, &m1, &m5);
  97     return pout;
  98 }
  99
 100 FLOAT WINAPI D3DXMatrixfDeterminant(CONST D3DXMATRIX *pm)
 101 {
 102     D3DXVECTOR4 minor, v1, v2, v3;
 103     FLOAT det;
 104
 105     v1.x = pm->u.m[0][0]; v1.y = pm->u.m[1][0]; v1.z = pm->u.m[2][0]; v1.w = pm->u.m[3][0];
 106     v2.x = pm->u.m[0][1]; v2.y = pm->u.m[1][1]; v2.z = pm->u.m[2][1]; v2.w = pm->u.m[3][1];
 107     v3.x = pm->u.m[0][2]; v3.y = pm->u.m[1][2]; v3.z = pm->u.m[2][2]; v3.w = pm->u.m[3][2];
 108     D3DXVec4Cross(&minor, &v1, &v2, &v3);
 109     det =  - (pm->u.m[0][3] * minor.x + pm->u.m[1][3] * minor.y + pm->u.m[2][3] * minor.z + pm->u.m[3][3] * minor.w);
 110     return det;
 111 }
 112
 113 D3DXMATRIX* WINAPI D3DXMatrixInverse(D3DXMATRIX *pout, FLOAT *pdeterminant, CONST D3DXMATRIX *pm)
 114 {
 115     int a, i, j;
 116     D3DXVECTOR4 v, vec[3];
 117     FLOAT det;
 118
 119     det = D3DXMatrixfDeterminant(pm);
 120     if ( !det ) return NULL;
 121     if ( pdeterminant ) *pdeterminant = det;
 122     for (i=0; i<4; i++)
 123     {
 124      for (j=0; j<4; j++)
 125      {
 126       if (j != i )
 127       {
 128        a = j;
 129        if ( j > i ) a = a-1;
 130        vec[a].x = pm->u.m[j][0];
 131        vec[a].y = pm->u.m[j][1];
 132        vec[a].z = pm->u.m[j][2];
 133        vec[a].w = pm->u.m[j][3];
 134       }
 135      }
 136     D3DXVec4Cross(&v, &vec[0], &vec[1], &vec[2]);
 137     pout->u.m[0][i] = pow(-1.0f, i) * v.x / det;
 138     pout->u.m[1][i] = pow(-1.0f, i) * v.y / det;
 139     pout->u.m[2][i] = pow(-1.0f, i) * v.z / det;
 140     pout->u.m[3][i] = pow(-1.0f, i) * v.w / det;
 141    }
 142    return pout;
 143 }
 144
 145 D3DXMATRIX* WINAPI D3DXMatrixLookAtLH(D3DXMATRIX *pout, CONST D3DXVECTOR3 *peye, CONST D3DXVECTOR3 *pat, CONST D3DXVECTOR3 *pup)
 146 {
 147     D3DXVECTOR3 right, rightn, up, upn, vec, vec2;
 148
 149     D3DXVec3Subtract(&vec2, pat, peye);
 150     D3DXVec3Normalize(&vec, &vec2);
 151     D3DXVec3Cross(&right, pup, &vec);
 152     D3DXVec3Cross(&up, &vec, &right);
 153     D3DXVec3Normalize(&rightn, &right);
 154     D3DXVec3Normalize(&upn, &up);
 155     pout->u.m[0][0] = rightn.x;
 156     pout->u.m[1][0] = rightn.y;
 157     pout->u.m[2][0] = rightn.z;
 158     pout->u.m[3][0] = -D3DXVec3Dot(&rightn,peye);
 159     pout->u.m[0][1] = upn.x;
 160     pout->u.m[1][1] = upn.y;
 161     pout->u.m[2][1] = upn.z;
 162     pout->u.m[3][1] = -D3DXVec3Dot(&upn, peye);
 163     pout->u.m[0][2] = vec.x;
 164     pout->u.m[1][2] = vec.y;
 165     pout->u.m[2][2] = vec.z;
 166     pout->u.m[3][2] = -D3DXVec3Dot(&vec, peye);
 167     pout->u.m[0][3] = 0.0f;
 168     pout->u.m[1][3] = 0.0f;
 169     pout->u.m[2][3] = 0.0f;
 170     pout->u.m[3][3] = 1.0f;
 171     return pout;
 172 }
 173
 174 D3DXMATRIX* WINAPI D3DXMatrixLookAtRH(D3DXMATRIX *pout, CONST D3DXVECTOR3 *peye, CONST D3DXVECTOR3 *pat, CONST D3DXVECTOR3 *pup)
 175 {
 176     D3DXVECTOR3 right, rightn, up, upn, vec, vec2;
 177
 178     D3DXVec3Subtract(&vec2, pat, peye);
 179     D3DXVec3Normalize(&vec, &vec2);
 180     D3DXVec3Cross(&right, pup, &vec);
 181     D3DXVec3Cross(&up, &vec, &right);
 182     D3DXVec3Normalize(&rightn, &right);
 183     D3DXVec3Normalize(&upn, &up);
 184     pout->u.m[0][0] = -rightn.x;
 185     pout->u.m[1][0] = -rightn.y;
 186     pout->u.m[2][0] = -rightn.z;
 187     pout->u.m[3][0] = D3DXVec3Dot(&rightn,peye);
 188     pout->u.m[0][1] = upn.x;
 189     pout->u.m[1][1] = upn.y;
 190     pout->u.m[2][1] = upn.z;
 191     pout->u.m[3][1] = -D3DXVec3Dot(&upn, peye);
 192     pout->u.m[0][2] = -vec.x;
 193     pout->u.m[1][2] = -vec.y;
 194     pout->u.m[2][2] = -vec.z;
 195     pout->u.m[3][2] = D3DXVec3Dot(&vec, peye);
 196     pout->u.m[0][3] = 0.0f;
 197     pout->u.m[1][3] = 0.0f;
 198     pout->u.m[2][3] = 0.0f;
 199     pout->u.m[3][3] = 1.0f;
 200     return pout;
 201 }
 202
 203 D3DXMATRIX* WINAPI D3DXMatrixMultiply(D3DXMATRIX *pout, CONST D3DXMATRIX *pm1, CONST D3DXMATRIX *pm2)
 204 {
 205     D3DXMATRIX out;
 206     int i,j;
 207
 208     for (i=0; i<4; i++)
 209     {
 210      for (j=0; j<4; j++)
 211      {
 212       out.u.m[i][j] = pm1->u.m[i][0] * pm2->u.m[0][j] + pm1->u.m[i][1] * pm2->u.m[1][j] + pm1->u.m[i][2] * pm2->u.m[2][j] + pm1->u.m[i][3] * pm2->u.m[3][j];
 213      }
 214     }
 215     *pout = out;
 216     return pout;
 217 }
 218
 219 D3DXMATRIX* WINAPI D3DXMatrixMultiplyTranspose(D3DXMATRIX *pout, CONST D3DXMATRIX *pm1, CONST D3DXMATRIX *pm2)
 220 {
 221     D3DXMatrixMultiply(pout, pm1, pm2);
 222     D3DXMatrixTranspose(pout, pout);
 223     return pout;
 224 }
 225
 226 D3DXMATRIX* WINAPI D3DXMatrixOrthoLH(D3DXMATRIX *pout, FLOAT w, FLOAT h, FLOAT zn, FLOAT zf)
 227 {
 228     D3DXMatrixIdentity(pout);
 229     pout->u.m[0][0] = 2.0f / w;
 230     pout->u.m[1][1] = 2.0f / h;
 231     pout->u.m[2][2] = 1.0f / (zf - zn);
 232     pout->u.m[3][2] = zn / (zn - zf);
 233     return pout;
 234 }
 235
 236 D3DXMATRIX* WINAPI D3DXMatrixOrthoOffCenterLH(D3DXMATRIX *pout, FLOAT l, FLOAT r, FLOAT b, FLOAT t, FLOAT zn, FLOAT zf)
 237 {
 238     D3DXMatrixIdentity(pout);
 239     pout->u.m[0][0] = 2.0f / (r - l);
 240     pout->u.m[1][1] = 2.0f / (t - b);
 241     pout->u.m[2][2] = 1.0f / (zf -zn);
 242     pout->u.m[3][0] = -1.0f -2.0f *l / (r - l);
 243     pout->u.m[3][1] = 1.0f + 2.0f * t / (b - t);
 244     pout->u.m[3][2] = zn / (zn -zf);
 245     return pout;
 246 }
 247
 248 D3DXMATRIX* WINAPI D3DXMatrixOrthoOffCenterRH(D3DXMATRIX *pout, FLOAT l, FLOAT r, FLOAT b, FLOAT t, FLOAT zn, FLOAT zf)
 249 {
 250     D3DXMatrixIdentity(pout);
 251     pout->u.m[0][0] = 2.0f / (r - l);
 252     pout->u.m[1][1] = 2.0f / (t - b);
 253     pout->u.m[2][2] = 1.0f / (zn -zf);
 254     pout->u.m[3][0] = -1.0f -2.0f *l / (r - l);
 255     pout->u.m[3][1] = 1.0f + 2.0f * t / (b - t);
 256     pout->u.m[3][2] = zn / (zn -zf);
 257     return pout;
 258 }
 259
 260 D3DXMATRIX* WINAPI D3DXMatrixOrthoRH(D3DXMATRIX *pout, FLOAT w, FLOAT h, FLOAT zn, FLOAT zf)
 261 {
 262     D3DXMatrixIdentity(pout);
 263     pout->u.m[0][0] = 2.0f / w;
 264     pout->u.m[1][1] = 2.0f / h;
 265     pout->u.m[2][2] = 1.0f / (zn - zf);
 266     pout->u.m[3][2] = zn / (zn - zf);
 267     return pout;
 268 }
 269
 270 D3DXMATRIX* WINAPI D3DXMatrixPerspectiveFovLH(D3DXMATRIX *pout, FLOAT fovy, FLOAT aspect, FLOAT zn, FLOAT zf)
 271 {
 272     D3DXMatrixIdentity(pout);
 273     pout->u.m[0][0] = 1.0f / (aspect * tan(fovy/2.0f));
 274     pout->u.m[1][1] = 1.0f / tan(fovy/2.0f);
 275     pout->u.m[2][2] = zf / (zf - zn);
 276     pout->u.m[2][3] = 1.0f;
 277     pout->u.m[3][2] = (zf * zn) / (zn - zf);
 278     pout->u.m[3][3] = 0.0f;
 279     return pout;
 280 }
 281
 282 D3DXMATRIX* WINAPI D3DXMatrixPerspectiveFovRH(D3DXMATRIX *pout, FLOAT fovy, FLOAT aspect, FLOAT zn, FLOAT zf)
 283 {
 284     D3DXMatrixIdentity(pout);
 285     pout->u.m[0][0] = 1.0f / (aspect * tan(fovy/2.0f));
 286     pout->u.m[1][1] = 1.0f / tan(fovy/2.0f);
 287     pout->u.m[2][2] = zf / (zn - zf);
 288     pout->u.m[2][3] = -1.0f;
 289     pout->u.m[3][2] = (zf * zn) / (zn - zf);
 290     pout->u.m[3][3] = 0.0f;
 291     return pout;
 292 }
 293
 294 D3DXMATRIX* WINAPI D3DXMatrixPerspectiveLH(D3DXMATRIX *pout, FLOAT w, FLOAT h, FLOAT zn, FLOAT zf)
 295 {
 296     D3DXMatrixIdentity(pout);
 297     pout->u.m[0][0] = 2.0f * zn / w;
 298     pout->u.m[1][1] = 2.0f * zn / h;
 299     pout->u.m[2][2] = zf / (zf - zn);
 300     pout->u.m[3][2] = (zn * zf) / (zn - zf);
 301     pout->u.m[2][3] = 1.0f;
 302     pout->u.m[3][3] = 0.0f;
 303     return pout;
 304 }
 305
 306 D3DXMATRIX* WINAPI D3DXMatrixPerspectiveOffCenterLH(D3DXMATRIX *pout, FLOAT l, FLOAT r, FLOAT b, FLOAT t, FLOAT zn, FLOAT zf)
 307 {
 308     D3DXMatrixIdentity(pout);
 309     pout->u.m[0][0] = 2.0f * zn / (r - l);
 310     pout->u.m[1][1] = -2.0f * zn / (b - t);
 311     pout->u.m[2][0] = -1.0f - 2.0f * l / (r - l);
 312     pout->u.m[2][1] = 1.0f + 2.0f * t / (b - t);
 313     pout->u.m[2][2] = - zf / (zn - zf);
 314     pout->u.m[3][2] = (zn * zf) / (zn -zf);
 315     pout->u.m[2][3] = 1.0f;
 316     pout->u.m[3][3] = 0.0f;
 317     return pout;
 318 }
 319
 320 D3DXMATRIX* WINAPI D3DXMatrixPerspectiveOffCenterRH(D3DXMATRIX *pout, FLOAT l, FLOAT r, FLOAT b, FLOAT t, FLOAT zn, FLOAT zf)
 321 {
 322     D3DXMatrixIdentity(pout);
 323     pout->u.m[0][0] = 2.0f * zn / (r - l);
 324     pout->u.m[1][1] = -2.0f * zn / (b - t);
 325     pout->u.m[2][0] = 1.0f + 2.0f * l / (r - l);
 326     pout->u.m[2][1] = -1.0f -2.0f * t / (b - t);
 327     pout->u.m[2][2] = zf / (zn - zf);
 328     pout->u.m[3][2] = (zn * zf) / (zn -zf);
 329     pout->u.m[2][3] = -1.0f;
 330     pout->u.m[3][3] = 0.0f;
 331     return pout;
 332 }
 333
 334 D3DXMATRIX* WINAPI D3DXMatrixPerspectiveRH(D3DXMATRIX *pout, FLOAT w, FLOAT h, FLOAT zn, FLOAT zf)
 335 {
 336     D3DXMatrixIdentity(pout);
 337     pout->u.m[0][0] = 2.0f * zn / w;
 338     pout->u.m[1][1] = 2.0f * zn / h;
 339     pout->u.m[2][2] = zf / (zn - zf);
 340     pout->u.m[3][2] = (zn * zf) / (zn - zf);
 341     pout->u.m[2][3] = -1.0f;
 342     pout->u.m[3][3] = 0.0f;
 343     return pout;
 344 }
 345
 346 D3DXMATRIX* WINAPI D3DXMatrixReflect(D3DXMATRIX *pout, CONST D3DXPLANE *pplane)
 347 {
 348     D3DXPLANE Nplane;
 349
 350     D3DXPlaneNormalize(&Nplane, pplane);
 351     D3DXMatrixIdentity(pout);
 352     pout->u.m[0][0] = 1.0f - 2.0f * Nplane.a * Nplane.a;
 353     pout->u.m[0][1] = -2.0f * Nplane.a * Nplane.b;
 354     pout->u.m[0][2] = -2.0f * Nplane.a * Nplane.c;
 355     pout->u.m[1][0] = -2.0f * Nplane.a * Nplane.b;
 356     pout->u.m[1][1] = 1.0f - 2.0f * Nplane.b * Nplane.b;
 357     pout->u.m[1][2] = -2.0f * Nplane.b * Nplane.c;
 358     pout->u.m[2][0] = -2.0f * Nplane.c * Nplane.a;
 359     pout->u.m[2][1] = -2.0f * Nplane.c * Nplane.b;
 360     pout->u.m[2][2] = 1.0f - 2.0f * Nplane.c * Nplane.c;
 361     pout->u.m[3][0] = -2.0f * Nplane.d * Nplane.a;
 362     pout->u.m[3][1] = -2.0f * Nplane.d * Nplane.b;
 363     pout->u.m[3][2] = -2.0f * Nplane.d * Nplane.c;
 364     return pout;
 365 }
 366
 367 D3DXMATRIX* WINAPI D3DXMatrixRotationAxis(D3DXMATRIX *pout, CONST D3DXVECTOR3 *pv, FLOAT angle)
 368 {
 369     D3DXVECTOR3 v;
 370
 371     D3DXVec3Normalize(&v,pv);
 372     D3DXMatrixIdentity(pout);
 373     pout->u.m[0][0] = (1.0f - cos(angle)) * v.x * v.x + cos(angle);
 374     pout->u.m[1][0] = (1.0f - cos(angle)) * v.x * v.y - sin(angle) * v.z;
 375     pout->u.m[2][0] = (1.0f - cos(angle)) * v.x * v.z + sin(angle) * v.y;
 376     pout->u.m[0][1] = (1.0f - cos(angle)) * v.y * v.x + sin(angle) * v.z;
 377     pout->u.m[1][1] = (1.0f - cos(angle)) * v.y * v.y + cos(angle);
 378     pout->u.m[2][1] = (1.0f - cos(angle)) * v.y * v.z - sin(angle) * v.x;
 379     pout->u.m[0][2] = (1.0f - cos(angle)) * v.z * v.x - sin(angle) * v.y;
 380     pout->u.m[1][2] = (1.0f - cos(angle)) * v.z * v.y + sin(angle) * v.x;
 381     pout->u.m[2][2] = (1.0f - cos(angle)) * v.z * v.z + cos(angle);
 382     return pout;
 383 }
 384
 385 D3DXMATRIX* WINAPI D3DXMatrixRotationQuaternion(D3DXMATRIX *pout, CONST D3DXQUATERNION *pq)
 386 {
 387     D3DXMatrixIdentity(pout);
 388     pout->u.m[0][0] = 1.0f - 2.0f * (pq->y * pq->y + pq->z * pq->z);
 389     pout->u.m[0][1] = 2.0f * (pq->x *pq->y + pq->z * pq->w);
 390     pout->u.m[0][2] = 2.0f * (pq->x * pq->z - pq->y * pq->w);
 391     pout->u.m[1][0] = 2.0f * (pq->x * pq->y - pq->z * pq->w);
 392     pout->u.m[1][1] = 1.0f - 2.0f * (pq->x * pq->x + pq->z * pq->z);
 393     pout->u.m[1][2] = 2.0f * (pq->y *pq->z + pq->x *pq->w);
 394     pout->u.m[2][0] = 2.0f * (pq->x * pq->z + pq->y * pq->w);
 395     pout->u.m[2][1] = 2.0f * (pq->y *pq->z - pq->x *pq->w);
 396     pout->u.m[2][2] = 1.0f - 2.0f * (pq->x * pq->x + pq->y * pq->y);
 397     return pout;
 398 }
 399
 400 D3DXMATRIX* WINAPI D3DXMatrixRotationX(D3DXMATRIX *pout, FLOAT angle)
 401 {
 402     D3DXMatrixIdentity(pout);
 403     pout->u.m[1][1] = cos(angle);
 404     pout->u.m[2][2] = cos(angle);
 405     pout->u.m[1][2] = sin(angle);
 406     pout->u.m[2][1] = -sin(angle);
 407     return pout;
 408 }
 409
 410 D3DXMATRIX* WINAPI D3DXMatrixRotationY(D3DXMATRIX *pout, FLOAT angle)
 411 {
 412     D3DXMatrixIdentity(pout);
 413     pout->u.m[0][0] = cos(angle);
 414     pout->u.m[2][2] = cos(angle);
 415     pout->u.m[0][2] = -sin(angle);
 416     pout->u.m[2][0] = sin(angle);
 417     return pout;
 418 }
 419
 420 D3DXMATRIX* WINAPI D3DXMatrixRotationYawPitchRoll(D3DXMATRIX *pout, FLOAT yaw, FLOAT pitch, FLOAT roll)
 421 {
 422     D3DXMATRIX m;
 423
 424     D3DXMatrixIdentity(pout);
 425     D3DXMatrixRotationZ(&m, roll);
 426     D3DXMatrixMultiply(pout, pout, &m);
 427     D3DXMatrixRotationX(&m, pitch);
 428     D3DXMatrixMultiply(pout, pout, &m);
 429     D3DXMatrixRotationY(&m, yaw);
 430     D3DXMatrixMultiply(pout, pout, &m);
 431     return pout;
 432 }
 433 D3DXMATRIX* WINAPI D3DXMatrixRotationZ(D3DXMATRIX *pout, FLOAT angle)
 434 {
 435     D3DXMatrixIdentity(pout);
 436     pout->u.m[0][0] = cos(angle);
 437     pout->u.m[1][1] = cos(angle);
 438     pout->u.m[0][1] = sin(angle);
 439     pout->u.m[1][0] = -sin(angle);
 440     return pout;
 441 }
 442
 443 D3DXMATRIX* WINAPI D3DXMatrixScaling(D3DXMATRIX *pout, FLOAT sx, FLOAT sy, FLOAT sz)
 444 {
 445     D3DXMatrixIdentity(pout);
 446     pout->u.m[0][0] = sx;
 447     pout->u.m[1][1] = sy;
 448     pout->u.m[2][2] = sz;
 449     return pout;
 450 }
 451
 452 D3DXMATRIX* WINAPI D3DXMatrixShadow(D3DXMATRIX *pout, CONST D3DXVECTOR4 *plight, CONST D3DXPLANE *pplane)
 453 {
 454     D3DXPLANE Nplane;
 455     FLOAT dot;
 456
 457     D3DXPlaneNormalize(&Nplane, pplane);
 458     dot = D3DXPlaneDot(&Nplane, plight);
 459     pout->u.m[0][0] = dot - Nplane.a * plight->x;
 460     pout->u.m[0][1] = -Nplane.a * plight->y;
 461     pout->u.m[0][2] = -Nplane.a * plight->z;
 462     pout->u.m[0][3] = -Nplane.a * plight->w;
 463     pout->u.m[1][0] = -Nplane.b * plight->x;
 464     pout->u.m[1][1] = dot - Nplane.b * plight->y;
 465     pout->u.m[1][2] = -Nplane.b * plight->z;
 466     pout->u.m[1][3] = -Nplane.b * plight->w;
 467     pout->u.m[2][0] = -Nplane.c * plight->x;
 468     pout->u.m[2][1] = -Nplane.c * plight->y;
 469     pout->u.m[2][2] = dot - Nplane.c * plight->z;
 470     pout->u.m[2][3] = -Nplane.c * plight->w;
 471     pout->u.m[3][0] = -Nplane.d * plight->x;
 472     pout->u.m[3][1] = -Nplane.d * plight->y;
 473     pout->u.m[3][2] = -Nplane.d * plight->z;
 474     pout->u.m[3][3] = dot - Nplane.d * plight->w;
 475     return pout;
 476 }
 477
 478 D3DXMATRIX* WINAPI D3DXMatrixTransformation(D3DXMATRIX *pout, CONST D3DXVECTOR3 *pscalingcenter, CONST D3DXQUATERNION *pscalingrotation, CONST D3DXVECTOR3 *pscaling, CONST D3DXVECTOR3 *protationcenter, CONST D3DXQUATERNION *protation, CONST D3DXVECTOR3 *ptranslation)
 479 {
 480     D3DXMATRIX m1, m2, m3, m4, m5, m6, m7;
 481     D3DXQUATERNION prc;
 482     D3DXVECTOR3 psc, pt;
 483
 484     if ( !pscalingcenter )
 485     {
 486      psc.x = 0.0f;
 487      psc.y = 0.0f;
 488      psc.z = 0.0f;
 489     }
 490     else
 491     {
 492      psc.x = pscalingcenter->x;
 493      psc.y = pscalingcenter->y;
 494      psc.z = pscalingcenter->z;
 495     }
 496     if ( !protationcenter )
 497     {
 498      prc.x = 0.0f;
 499      prc.y = 0.0f;
 500      prc.z = 0.0f;
 501     }
 502     else
 503     {
 504      prc.x = protationcenter->x;
 505      prc.y = protationcenter->y;
 506      prc.z = protationcenter->z;
 507     }
 508     if ( !ptranslation )
 509     {
 510      pt.x = 0.0f;
 511      pt.y = 0.0f;
 512      pt.z = 0.0f;
 513     }
 514     else
 515     {
 516      pt.x = ptranslation->x;
 517      pt.y = ptranslation->y;
 518      pt.z = ptranslation->z;
 519     }
 520     D3DXMatrixTranslation(&m1, -psc.x, -psc.y, -psc.z);
 521     if ( !pscalingrotation )
 522     {
 523      D3DXMatrixIdentity(&m2);
 524      D3DXMatrixIdentity(&m4);
 525     }
 526     else
 527     {
 528      D3DXMatrixRotationQuaternion(&m4, pscalingrotation);
 529      D3DXMatrixInverse(&m2, NULL, &m4);
 530     }
 531     if ( !pscaling )
 532     {
 533      D3DXMatrixIdentity(&m3);
 534     }
 535     else
 536     {
 537     D3DXMatrixScaling(&m3, pscaling->x, pscaling->y, pscaling->z);
 538     }
 539     if ( !protation )
 540     {
 541      D3DXMatrixIdentity(&m6);
 542     }
 543     else
 544     {
 545      D3DXMatrixRotationQuaternion(&m6, protation);
 546     }
 547     D3DXMatrixTranslation(&m5, psc.x - prc.x,  psc.y - prc.y,  psc.z - prc.z);
 548     D3DXMatrixTranslation(&m7, prc.x + pt.x, prc.y + pt.y, prc.z + pt.z);
 549     D3DXMatrixMultiply(&m1, &m1, &m2);
 550     D3DXMatrixMultiply(&m1, &m1, &m3);
 551     D3DXMatrixMultiply(&m1, &m1, &m4);
 552     D3DXMatrixMultiply(&m1, &m1, &m5);
 553     D3DXMatrixMultiply(&m1, &m1, &m6);
 554     D3DXMatrixMultiply(pout, &m1, &m7);
 555     return pout;
 556 }
 557
 558 D3DXMATRIX* WINAPI D3DXMatrixTranslation(D3DXMATRIX *pout, FLOAT x, FLOAT y, FLOAT z)
 559 {
 560     D3DXMatrixIdentity(pout);
 561     pout->u.m[3][0] = x;
 562     pout->u.m[3][1] = y;
 563     pout->u.m[3][2] = z;
 564     return pout;
 565 }
 566
 567 D3DXMATRIX* WINAPI D3DXMatrixTranspose(D3DXMATRIX *pout, CONST D3DXMATRIX *pm)
 568 {
 569     CONST D3DXMATRIX m = *pm;
 570     int i,j;
 571
 572     for (i=0; i<4; i++)
 573     {
 574      for (j=0; j<4; j++)
 575      {
 576       pout->u.m[i][j] = m.u.m[j][i];
 577      }
 578     }
 579     return pout;
 580 }
 581
 582 /*_________________D3DXMatrixStack____________________*/
 583
 584 HRESULT WINAPI D3DXCreateMatrixStack(DWORD flags, LPD3DXMATRIXSTACK* ppstack)
 585 {
 586     ID3DXMatrixStackImpl* object;
 587
 588     object = HeapAlloc(GetProcessHeap(), HEAP_ZERO_MEMORY, sizeof(ID3DXMatrixStackImpl));
 589     if ( object == NULL )
 590     {
 591      *ppstack = NULL;
 592      return E_OUTOFMEMORY;
 593     }
 594     object->lpVtbl = &ID3DXMatrixStack_Vtbl;
 595     object->ref = 1;
 596     object->current = 0;
 597     *ppstack = (LPD3DXMATRIXSTACK)object;
 598     return D3D_OK;
 599 }
 600
 601 static HRESULT WINAPI ID3DXMatrixStackImpl_QueryInterface(ID3DXMatrixStack *iface, REFIID riid, void **ppobj)
 602 {
 603     ID3DXMatrixStackImpl *This = (ID3DXMatrixStackImpl *)iface;
 604     if (IsEqualGUID(riid, &IID_IUnknown) || IsEqualGUID(riid, &IID_ID3DXMatrixStack))
 605     {
 606      ID3DXMatrixStack_AddRef(iface);
 607      *ppobj = This;
 608      return S_OK;
 609     }
 610     *ppobj = NULL;
 611     ERR("(%p)->(%s,%p),not found\n",This,debugstr_guid(riid),ppobj);
 612     return E_NOINTERFACE;
 613 }
 614
 615 static ULONG WINAPI ID3DXMatrixStackImpl_AddRef(ID3DXMatrixStack *iface)
 616 {
 617     ID3DXMatrixStackImpl *This = (ID3DXMatrixStackImpl *)iface;
 618     ULONG ref = InterlockedIncrement(&This->ref);
 619     TRACE("(%p) : AddRef from %d\n", This, ref - 1);
 620     return ref;
 621 }
 622
 623 static ULONG WINAPI ID3DXMatrixStackImpl_Release(ID3DXMatrixStack* iface)
 624 {
 625     ID3DXMatrixStackImpl *This = (ID3DXMatrixStackImpl *)iface;
 626     ULONG ref = InterlockedDecrement(&This->ref);
 627     if ( !ref ) HeapFree(GetProcessHeap(), 0, This);
 628     TRACE("(%p) : ReleaseRef to %d\n", This, ref);
 629     return ref;
 630 }
 631
 632 static D3DXMATRIX* WINAPI ID3DXMatrixStackImpl_GetTop(ID3DXMatrixStack *iface)
 633 {
 634     ID3DXMatrixStackImpl *This = (ID3DXMatrixStackImpl *)iface;
 635     FIXME("(%p) : stub\n",This);
 636     return NULL;
 637 }
 638
 639 static HRESULT WINAPI ID3DXMatrixStackImpl_LoadIdentity(ID3DXMatrixStack *iface)
 640 {
 641     ID3DXMatrixStackImpl *This = (ID3DXMatrixStackImpl *)iface;
 642     FIXME("(%p) : stub\n",This);
 643     return D3D_OK;
 644 }
 645
 646 static HRESULT WINAPI ID3DXMatrixStackImpl_LoadMatrix(ID3DXMatrixStack *iface, LPD3DXMATRIX pm)
 647 {
 648     ID3DXMatrixStackImpl *This = (ID3DXMatrixStackImpl *)iface;
 649     FIXME("(%p) : stub\n",This);
 650     return D3D_OK;
 651 }
 652
 653 static HRESULT WINAPI ID3DXMatrixStackImpl_MultMatrix(ID3DXMatrixStack *iface, LPD3DXMATRIX pm)
 654 {
 655     ID3DXMatrixStackImpl *This = (ID3DXMatrixStackImpl *)iface;
 656     FIXME("(%p) : stub\n",This);
 657     return D3D_OK;
 658 }
 659
 660 static HRESULT WINAPI ID3DXMatrixStackImpl_MultMatrixLocal(ID3DXMatrixStack *iface, LPD3DXMATRIX pm)
 661 {
 662     ID3DXMatrixStackImpl *This = (ID3DXMatrixStackImpl *)iface;
 663     FIXME("(%p) : stub\n",This);
 664     return D3D_OK;
 665 }
 666
 667 static HRESULT WINAPI ID3DXMatrixStackImpl_Pop(ID3DXMatrixStack *iface)
 668 {
 669     ID3DXMatrixStackImpl *This = (ID3DXMatrixStackImpl *)iface;
 670     FIXME("(%p) : stub\n",This);
 671     return D3D_OK;
 672 }
 673
 674 static HRESULT WINAPI ID3DXMatrixStackImpl_Push(ID3DXMatrixStack *iface)
 675 {
 676     ID3DXMatrixStackImpl *This = (ID3DXMatrixStackImpl *)iface;
 677     FIXME("(%p) : stub\n",This);
 678     return D3D_OK;
 679 }
 680
 681 static HRESULT WINAPI ID3DXMatrixStackImpl_RotateAxis(ID3DXMatrixStack *iface, LPD3DXVECTOR3 pv, FLOAT angle)
 682 {
 683     ID3DXMatrixStackImpl *This = (ID3DXMatrixStackImpl *)iface;
 684     FIXME("(%p) : stub\n",This);
 685     return D3D_OK;
 686 }
 687
 688 static HRESULT WINAPI ID3DXMatrixStackImpl_RotateAxisLocal(ID3DXMatrixStack *iface, LPD3DXVECTOR3 pv, FLOAT angle)
 689 {
 690     ID3DXMatrixStackImpl *This = (ID3DXMatrixStackImpl *)iface;
 691     FIXME("(%p) : stub\n",This);
 692     return D3D_OK;
 693 }
 694
 695 static HRESULT WINAPI ID3DXMatrixStackImpl_RotateYawPitchRoll(ID3DXMatrixStack *iface, FLOAT x, FLOAT y, FLOAT z)
 696 {
 697     ID3DXMatrixStackImpl *This = (ID3DXMatrixStackImpl *)iface;
 698     FIXME("(%p) : stub\n",This);
 699     return D3D_OK;
 700 }
 701
 702 static HRESULT WINAPI ID3DXMatrixStackImpl_RotateYawPitchRollLocal(ID3DXMatrixStack *iface, FLOAT x, FLOAT y, FLOAT z)
 703 {
 704     ID3DXMatrixStackImpl *This = (ID3DXMatrixStackImpl *)iface;
 705     FIXME("(%p) : stub\n",This);
 706     return D3D_OK;
 707 }
 708
 709 static HRESULT WINAPI ID3DXMatrixStackImpl_Scale(ID3DXMatrixStack *iface, FLOAT x, FLOAT y, FLOAT z)
 710 {
 711     ID3DXMatrixStackImpl *This = (ID3DXMatrixStackImpl *)iface;
 712     FIXME("(%p) : stub\n",This);
 713     return D3D_OK;
 714 }
 715
 716 static HRESULT WINAPI ID3DXMatrixStackImpl_ScaleLocal(ID3DXMatrixStack *iface, FLOAT x, FLOAT y, FLOAT z)
 717 {
 718     ID3DXMatrixStackImpl *This = (ID3DXMatrixStackImpl *)iface;
 719     FIXME("(%p) : stub\n",This);
 720     return D3D_OK;
 721 }
 722
 723 static HRESULT WINAPI ID3DXMatrixStackImpl_Translate(ID3DXMatrixStack *iface, FLOAT x, FLOAT y, FLOAT z)
 724 {
 725     ID3DXMatrixStackImpl *This = (ID3DXMatrixStackImpl *)iface;
 726     FIXME("(%p) : stub\n",This);
 727     return D3D_OK;
 728 }
 729
 730 static HRESULT WINAPI ID3DXMatrixStackImpl_TranslateLocal(ID3DXMatrixStack *iface, FLOAT x, FLOAT y, FLOAT z)
 731 {
 732     ID3DXMatrixStackImpl *This = (ID3DXMatrixStackImpl *)iface;
 733     FIXME("(%p) : stub\n",This);
 734     return D3D_OK;
 735 }
 736
 737 static const ID3DXMatrixStackVtbl ID3DXMatrixStack_Vtbl =
 738 {
 739     ID3DXMatrixStackImpl_QueryInterface,
 740     ID3DXMatrixStackImpl_AddRef,
 741     ID3DXMatrixStackImpl_Release,
 742     ID3DXMatrixStackImpl_Pop,
 743     ID3DXMatrixStackImpl_Push,
 744     ID3DXMatrixStackImpl_LoadIdentity,
 745     ID3DXMatrixStackImpl_LoadMatrix,
 746     ID3DXMatrixStackImpl_MultMatrix,
 747     ID3DXMatrixStackImpl_MultMatrixLocal,
 748     ID3DXMatrixStackImpl_RotateAxis,
 749     ID3DXMatrixStackImpl_RotateAxisLocal,
 750     ID3DXMatrixStackImpl_RotateYawPitchRoll,
 751     ID3DXMatrixStackImpl_RotateYawPitchRollLocal,
 752     ID3DXMatrixStackImpl_Scale,
 753     ID3DXMatrixStackImpl_ScaleLocal,
 754     ID3DXMatrixStackImpl_Translate,
 755     ID3DXMatrixStackImpl_TranslateLocal,
 756     ID3DXMatrixStackImpl_GetTop
 757 };
 758
 759 /*_________________D3DXPLANE________________*/
 760
 761 D3DXPLANE* WINAPI D3DXPlaneFromPointNormal(D3DXPLANE *pout, CONST D3DXVECTOR3 *pvpoint, CONST D3DXVECTOR3 *pvnormal)
 762 {
 763     pout->a = pvnormal->x;
 764     pout->b = pvnormal->y;
 765     pout->c = pvnormal->z;
 766     pout->d = -D3DXVec3Dot(pvpoint, pvnormal);
 767     return pout;
 768 }
 769
 770 D3DXPLANE* WINAPI D3DXPlaneFromPoints(D3DXPLANE *pout, CONST D3DXVECTOR3 *pv1, CONST D3DXVECTOR3 *pv2, CONST D3DXVECTOR3 *pv3)
 771 {
 772     D3DXVECTOR3 edge1, edge2, normal, Nnormal;
 773
 774     edge1.x = 0.0f; edge1.y = 0.0f; edge1.z = 0.0f;
 775     edge2.x = 0.0f; edge2.y = 0.0f; edge2.z = 0.0f;
 776     D3DXVec3Subtract(&edge1, pv2, pv1);
 777     D3DXVec3Subtract(&edge2, pv3, pv1);
 778     D3DXVec3Cross(&normal, &edge1, &edge2);
 779     D3DXVec3Normalize(&Nnormal, &normal);
 780     D3DXPlaneFromPointNormal(pout, pv1, &Nnormal);
 781     return pout;
 782 }
 783
 784 D3DXVECTOR3* WINAPI D3DXPlaneIntersectLine(D3DXVECTOR3 *pout, CONST D3DXPLANE *pp, CONST D3DXVECTOR3 *pv1, CONST D3DXVECTOR3 *pv2)
 785 {
 786     D3DXVECTOR3 direction, normal;
 787     FLOAT dot, temp;
 788
 789     normal.x = pp->a;
 790     normal.y = pp->b;
 791     normal.z = pp->c;
 792     direction.x = pv2->x - pv1->x;
 793     direction.y = pv2->y - pv1->y;
 794     direction.z = pv2->z - pv1->z;
 795     dot = D3DXVec3Dot(&normal, &direction);
 796     if ( !dot ) return NULL;
 797     temp = ( pp->d + D3DXVec3Dot(&normal, pv1) ) / dot;
 798     pout->x = pv1->x - temp * direction.x;
 799     pout->y = pv1->y - temp * direction.y;
 800     pout->z = pv1->z - temp * direction.z;
 801     return pout;
 802 }
 803
 804 D3DXPLANE* WINAPI D3DXPlaneNormalize(D3DXPLANE *pout, CONST D3DXPLANE *pp)
 805 {
 806     FLOAT norm;
 807
 808     norm = sqrt(pp->a * pp->a + pp->b * pp->b + pp->c * pp->c);
 809     if ( norm )
 810     {
 811      pout->a = pp->a / norm;
 812      pout->b = pp->b / norm;
 813      pout->c = pp->c / norm;
 814      pout->d = pp->d / norm;
 815     }
 816     else
 817     {
 818      pout->a = 0.0f;
 819      pout->b = 0.0f;
 820      pout->c = 0.0f;
 821      pout->d = 0.0f;
 822     }
 823     return pout;
 824 }
 825
 826 D3DXPLANE* WINAPI D3DXPlaneTransform(D3DXPLANE *pout, CONST D3DXPLANE *pplane, CONST D3DXMATRIX *pm)
 827 {
 828     CONST D3DXPLANE plane = *pplane;
 829     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;
 830     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;
 831     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;
 832     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;
 833     return pout;
 834 }
 835
 836 /*_________________D3DXQUATERNION________________*/
 837
 838 D3DXQUATERNION* WINAPI D3DXQuaternionBaryCentric(D3DXQUATERNION *pout, CONST D3DXQUATERNION *pq1, CONST D3DXQUATERNION *pq2, CONST D3DXQUATERNION *pq3, FLOAT f, FLOAT g)
 839 {
 840     D3DXQUATERNION temp1, temp2;
 841     D3DXQuaternionSlerp(pout, D3DXQuaternionSlerp(&temp1, pq1, pq2, f + g), D3DXQuaternionSlerp(&temp2, pq1, pq3, f+g), g / (f + g));
 842     return pout;
 843 }
 844
 845 D3DXQUATERNION* WINAPI D3DXQuaternionExp(D3DXQUATERNION *pout, CONST D3DXQUATERNION *pq)
 846 {
 847     FLOAT norm;
 848
 849     norm = sqrt(pq->x * pq->x + pq->y * pq->y + pq->z * pq->z);
 850     if (norm )
 851     {
 852      pout->x = sin(norm) * pq->x / norm;
 853      pout->y = sin(norm) * pq->y / norm;
 854      pout->z = sin(norm) * pq->z / norm;
 855      pout->w = cos(norm);
 856     }
 857     else
 858     {
 859      pout->x = 0.0f;
 860      pout->y = 0.0f;
 861      pout->z = 0.0f;
 862      pout->w = 1.0f;
 863     }
 864     return pout;
 865 }
 866
 867 D3DXQUATERNION* WINAPI D3DXQuaternionInverse(D3DXQUATERNION *pout, CONST D3DXQUATERNION *pq)
 868 {
 869     D3DXQUATERNION temp;
 870     FLOAT norm;
 871
 872     temp.x = 0.0f;
 873     temp.y = 0.0f;
 874     temp.z = 0.0f;
 875     temp.w = 0.0f;
 876
 877     norm = D3DXQuaternionLengthSq(pq);
 878     if ( !norm )
 879     {
 880      pout->x = 0.0f;
 881      pout->y = 0.0f;
 882      pout->z = 0.0f;
 883      pout->w = 0.0f;
 884     }
 885     else
 886     {
 887     D3DXQuaternionConjugate(&temp, pq);
 888     pout->x = temp.x / norm;
 889     pout->y = temp.y / norm;
 890     pout->z = temp.z / norm;
 891     pout->w = temp.w / norm;
 892     }
 893     return pout;
 894 }
 895
 896 D3DXQUATERNION* WINAPI D3DXQuaternionLn(D3DXQUATERNION *pout, CONST D3DXQUATERNION *pq)
 897 {
 898     FLOAT norm, normvec, theta;
 899
 900     norm = D3DXQuaternionLengthSq(pq);
 901     if ( norm > 1.0001f )
 902     {
 903      pout->x = pq->x;
 904      pout->y = pq->y;
 905      pout->z = pq->z;
 906      pout->w = 0.0f;
 907     }
 908     else if( norm > 0.99999f)
 909     {
 910      normvec = sqrt( pq->x * pq->x + pq->y * pq->y + pq->z * pq->z );
 911      theta = atan2(normvec, pq->w) / normvec;
 912      pout->x = theta * pq->x;
 913      pout->y = theta * pq->y;
 914      pout->z = theta * pq->z;
 915      pout->w = 0.0f;
 916     }
 917     else
 918     {
 919      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);
 920     }
 921     return pout;
 922 }
 923
 924 D3DXQUATERNION* WINAPI D3DXQuaternionMultiply(D3DXQUATERNION *pout, CONST D3DXQUATERNION *pq1, CONST D3DXQUATERNION *pq2)
 925 {
 926     D3DXQUATERNION out;
 927     out.x = pq2->w * pq1->x + pq2->x * pq1->w + pq2->y * pq1->z - pq2->z * pq1->y;
 928     out.y = pq2->w * pq1->y - pq2->x * pq1->z + pq2->y * pq1->w + pq2->z * pq1->x;
 929     out.z = pq2->w * pq1->z + pq2->x * pq1->y - pq2->y * pq1->x + pq2->z * pq1->w;
 930     out.w = pq2->w * pq1->w - pq2->x * pq1->x - pq2->y * pq1->y - pq2->z * pq1->z;
 931     *pout = out;
 932     return pout;
 933 }
 934
 935 D3DXQUATERNION* WINAPI D3DXQuaternionNormalize(D3DXQUATERNION *pout, CONST D3DXQUATERNION *pq)
 936 {
 937     FLOAT norm;
 938
 939     norm = D3DXQuaternionLength(pq);
 940     if ( !norm )
 941     {
 942      pout->x = 0.0f;
 943      pout->y = 0.0f;
 944      pout->z = 0.0f;
 945      pout->w = 0.0f;
 946     }
 947     else
 948     {
 949      pout->x = pq->x / norm;
 950      pout->y = pq->y / norm;
 951      pout->z = pq->z / norm;
 952      pout->w = pq->w / norm;
 953     }
 954     return pout;
 955 }
 956
 957 D3DXQUATERNION* WINAPI D3DXQuaternionRotationAxis(D3DXQUATERNION *pout, CONST D3DXVECTOR3 *pv, FLOAT angle)
 958 {
 959     D3DXVECTOR3 temp;
 960
 961     D3DXVec3Normalize(&temp, pv);
 962     pout->x = sin( angle / 2.0f ) * temp.x;
 963     pout->y = sin( angle / 2.0f ) * temp.y;
 964     pout->z = sin( angle / 2.0f ) * temp.z;
 965     pout->w = cos( angle / 2.0f );
 966     return pout;
 967 }
 968
 969 D3DXQUATERNION* WINAPI D3DXQuaternionRotationMatrix(D3DXQUATERNION *pout, CONST D3DXMATRIX *pm)
 970 {
 971     int i, maxi;
 972     FLOAT maxdiag, S, trace;
 973
 974     trace = pm->u.m[0][0] + pm->u.m[1][1] + pm->u.m[2][2] + 1.0f;
 975     if ( trace > 1.0f)
 976     {
 977      pout->x = ( pm->u.m[1][2] - pm->u.m[2][1] ) / ( 2.0f * sqrt(trace) );
 978      pout->y = ( pm->u.m[2][0] - pm->u.m[0][2] ) / ( 2.0f * sqrt(trace) );
 979      pout->z = ( pm->u.m[0][1] - pm->u.m[1][0] ) / ( 2.0f * sqrt(trace) );
 980      pout->w = sqrt(trace) / 2.0f;
 981      return pout;
 982      }
 983     maxi = 0;
 984     maxdiag = pm->u.m[0][0];
 985     for (i=1; i<3; i++)
 986     {
 987      if ( pm->u.m[i][i] > maxdiag )
 988      {
 989       maxi = i;
 990       maxdiag = pm->u.m[i][i];
 991      }
 992     }
 993     switch( maxi )
 994     {
 995      case 0:
 996        S = 2.0f * sqrt(1.0f + pm->u.m[0][0] - pm->u.m[1][1] - pm->u.m[2][2]);
 997        pout->x = 0.25f * S;
 998        pout->y = ( pm->u.m[0][1] + pm->u.m[1][0] ) / S;
 999        pout->z = ( pm->u.m[0][2] + pm->u.m[2][0] ) / S;
1000        pout->w = ( pm->u.m[1][2] - pm->u.m[2][1] ) / S;
1001      break;
1002      case 1:
1003        S = 2.0f * sqrt(1.0f + pm->u.m[1][1] - pm->u.m[0][0] - pm->u.m[2][2]);
1004        pout->x = ( pm->u.m[0][1] + pm->u.m[1][0] ) / S;
1005        pout->y = 0.25f * S;
1006        pout->z = ( pm->u.m[1][2] + pm->u.m[2][1] ) / S;
1007        pout->w = ( pm->u.m[2][0] - pm->u.m[0][2] ) / S;
1008      break;
1009      case 2:
1010        S = 2.0f * sqrt(1.0f + pm->u.m[2][2] - pm->u.m[0][0] - pm->u.m[1][1]);
1011        pout->x = ( pm->u.m[0][2] + pm->u.m[2][0] ) / S;
1012        pout->y = ( pm->u.m[1][2] + pm->u.m[2][1] ) / S;
1013        pout->z = 0.25f * S;
1014        pout->w = ( pm->u.m[0][1] - pm->u.m[1][0] ) / S;
1015      break;
1016     }
1017     return pout;
1018 }
1019
1020 D3DXQUATERNION* WINAPI D3DXQuaternionRotationYawPitchRoll(D3DXQUATERNION *pout, FLOAT yaw, FLOAT pitch, FLOAT roll)
1021 {
1022     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);
1023     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);
1024     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);
1025     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);
1026     return pout;
1027 }
1028
1029 D3DXQUATERNION* WINAPI D3DXQuaternionSlerp(D3DXQUATERNION *pout, CONST D3DXQUATERNION *pq1, CONST D3DXQUATERNION *pq2, FLOAT t)
1030 {
1031     FLOAT dot, epsilon;
1032
1033     epsilon = 1.0f;
1034     dot = D3DXQuaternionDot(pq1, pq2);
1035     if ( dot < 0.0f) epsilon = -1.0f;
1036     pout->x = (1.0f - t) * pq1->x + epsilon * t * pq2->x;
1037     pout->y = (1.0f - t) * pq1->y + epsilon * t * pq2->y;
1038     pout->z = (1.0f - t) * pq1->z + epsilon * t * pq2->z;
1039     pout->w = (1.0f - t) * pq1->w + epsilon * t * pq2->w;
1040     return pout;
1041 }
1042
1043 D3DXQUATERNION* WINAPI D3DXQuaternionSquad(D3DXQUATERNION *pout, CONST D3DXQUATERNION *pq1, CONST D3DXQUATERNION *pq2, CONST D3DXQUATERNION *pq3, CONST D3DXQUATERNION *pq4, FLOAT t)
1044 {
1045     D3DXQUATERNION temp1, temp2;
1046
1047     D3DXQuaternionSlerp(pout, D3DXQuaternionSlerp(&temp1, pq1, pq4, t), D3DXQuaternionSlerp(&temp2, pq2, pq3, t), 2.0f * t * (1.0f - t));
1048     return pout;
1049 }
1050
1051 void WINAPI D3DXQuaternionToAxisAngle(CONST D3DXQUATERNION *pq, D3DXVECTOR3 *paxis, FLOAT *pangle)
1052 {
1053     FLOAT norm;
1054
1055     *pangle = 0.0f;
1056     norm = D3DXQuaternionLength(pq);
1057     if ( norm )
1058     {
1059      paxis->x = pq->x / norm;
1060      paxis->y = pq->y / norm;
1061      paxis->z = pq->z / norm;
1062      if ( fabs( pq->w ) <= 1.0f ) *pangle = 2.0f * acos(pq->w);
1063     }
1064     else
1065     {
1066      paxis->x = 1.0f;
1067      paxis->y = 0.0f;
1068      paxis->z = 0.0f;
1069     }
1070 }
1071
1072 /*_________________D3DXVec2_____________________*/
1073
1074 D3DXVECTOR2* WINAPI D3DXVec2BaryCentric(D3DXVECTOR2 *pout, CONST D3DXVECTOR2 *pv1, CONST D3DXVECTOR2 *pv2, CONST D3DXVECTOR2 *pv3, FLOAT f, FLOAT g)
1075 {
1076     pout->x = (1.0f-f-g) * (pv1->x) + f * (pv2->x) + g * (pv3->x);
1077     pout->y = (1.0f-f-g) * (pv1->y) + f * (pv2->y) + g * (pv3->y);
1078     return pout;
1079 }
1080
1081 D3DXVECTOR2* WINAPI D3DXVec2CatmullRom(D3DXVECTOR2 *pout, CONST D3DXVECTOR2 *pv0, CONST D3DXVECTOR2 *pv1, CONST D3DXVECTOR2 *pv2, CONST D3DXVECTOR2 *pv3, FLOAT s)
1082 {
1083     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);
1084     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);
1085     return pout;
1086 }
1087
1088 D3DXVECTOR2* WINAPI D3DXVec2Hermite(D3DXVECTOR2 *pout, CONST D3DXVECTOR2 *pv1, CONST D3DXVECTOR2 *pt1, CONST D3DXVECTOR2 *pv2, CONST D3DXVECTOR2 *pt2, FLOAT s)
1089 {
1090     FLOAT h1, h2, h3, h4;
1091
1092     h1 = 2.0f * s * s * s - 3.0f * s * s + 1.0f;
1093     h2 = s * s * s - 2.0f * s * s + s;
1094     h3 = -2.0f * s * s * s + 3.0f * s * s;
1095     h4 = s * s * s - s * s;
1096
1097     pout->x = h1 * (pv1->x) + h2 * (pt1->x) + h3 * (pv2->x) + h4 * (pt2->x);
1098     pout->y = h1 * (pv1->y) + h2 * (pt1->y) + h3 * (pv2->y) + h4 * (pt2->y);
1099     return pout;
1100 }
1101
1102 D3DXVECTOR2* WINAPI D3DXVec2Normalize(D3DXVECTOR2 *pout, CONST D3DXVECTOR2 *pv)
1103 {
1104     FLOAT norm;
1105
1106     norm = D3DXVec2Length(pv);
1107     if ( !norm )
1108     {
1109      pout->x = 0.0f;
1110      pout->y = 0.0f;
1111     }
1112     else
1113     {
1114      pout->x = pv->x / norm;
1115      pout->y = pv->y / norm;
1116     }
1117     return pout;
1118 }
1119
1120 D3DXVECTOR4* WINAPI D3DXVec2Transform(D3DXVECTOR4 *pout, CONST D3DXVECTOR2 *pv, CONST D3DXMATRIX *pm)
1121 {
1122     pout->x = pm->u.m[0][0] * pv->x + pm->u.m[1][0] * pv->y  + pm->u.m[3][0];
1123     pout->y = pm->u.m[0][1] * pv->x + pm->u.m[1][1] * pv->y  + pm->u.m[3][1];
1124     pout->z = pm->u.m[0][2] * pv->x + pm->u.m[1][2] * pv->y  + pm->u.m[3][2];
1125     pout->w = pm->u.m[0][3] * pv->x + pm->u.m[1][3] * pv->y  + pm->u.m[3][3];
1126     return pout;
1127 }
1128
1129 D3DXVECTOR2* WINAPI D3DXVec2TransformCoord(D3DXVECTOR2 *pout, CONST D3DXVECTOR2 *pv, CONST D3DXMATRIX *pm)
1130 {
1131     FLOAT norm;
1132
1133     norm = pm->u.m[0][3] * pv->x + pm->u.m[1][3] * pv->y + pm->u.m[3][3];
1134     if ( norm )
1135     {
1136      CONST D3DXVECTOR2 v = *pv;
1137      pout->x = (pm->u.m[0][0] * v.x + pm->u.m[1][0] * v.y + pm->u.m[3][0]) / norm;
1138      pout->y = (pm->u.m[0][1] * v.x + pm->u.m[1][1] * v.y + pm->u.m[3][1]) / norm;
1139     }
1140     else
1141     {
1142      pout->x = 0.0f;
1143      pout->y = 0.0f;
1144     }
1145     return pout;
1146 }
1147
1148 D3DXVECTOR2* WINAPI D3DXVec2TransformNormal(D3DXVECTOR2 *pout, CONST D3DXVECTOR2 *pv, CONST D3DXMATRIX *pm)
1149 {
1150     CONST D3DXVECTOR2 v = *pv;
1151     pout->x = pm->u.m[0][0] * v.x + pm->u.m[1][0] * v.y;
1152     pout->y = pm->u.m[0][1] * v.x + pm->u.m[1][1] * v.y;
1153     return pout;
1154 }
1155
1156 /*_________________D3DXVec3_____________________*/
1157
1158 D3DXVECTOR3* WINAPI D3DXVec3BaryCentric(D3DXVECTOR3 *pout, CONST D3DXVECTOR3 *pv1, CONST D3DXVECTOR3 *pv2, CONST D3DXVECTOR3 *pv3, FLOAT f, FLOAT g)
1159 {
1160     pout->x = (1.0f-f-g) * (pv1->x) + f * (pv2->x) + g * (pv3->x);
1161     pout->y = (1.0f-f-g) * (pv1->y) + f * (pv2->y) + g * (pv3->y);
1162     pout->z = (1.0f-f-g) * (pv1->z) + f * (pv2->z) + g * (pv3->z);
1163     return pout;
1164 }
1165
1166 D3DXVECTOR3* WINAPI D3DXVec3CatmullRom( D3DXVECTOR3 *pout, CONST D3DXVECTOR3 *pv0, CONST D3DXVECTOR3 *pv1, CONST D3DXVECTOR3 *pv2, CONST D3DXVECTOR3 *pv3, FLOAT s)
1167 {
1168     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);
1169     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);
1170     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);
1171     return pout;
1172 }
1173
1174 D3DXVECTOR3* WINAPI D3DXVec3Hermite(D3DXVECTOR3 *pout, CONST D3DXVECTOR3 *pv1, CONST D3DXVECTOR3 *pt1, CONST D3DXVECTOR3 *pv2, CONST D3DXVECTOR3 *pt2, FLOAT s)
1175 {
1176     FLOAT h1, h2, h3, h4;
1177
1178     h1 = 2.0f * s * s * s - 3.0f * s * s + 1.0f;
1179     h2 = s * s * s - 2.0f * s * s + s;
1180     h3 = -2.0f * s * s * s + 3.0f * s * s;
1181     h4 = s * s * s - s * s;
1182
1183     pout->x = h1 * (pv1->x) + h2 * (pt1->x) + h3 * (pv2->x) + h4 * (pt2->x);
1184     pout->y = h1 * (pv1->y) + h2 * (pt1->y) + h3 * (pv2->y) + h4 * (pt2->y);
1185     pout->z = h1 * (pv1->z) + h2 * (pt1->z) + h3 * (pv2->z) + h4 * (pt2->z);
1186     return pout;
1187 }
1188
1189 D3DXVECTOR3* WINAPI D3DXVec3Normalize(D3DXVECTOR3 *pout, CONST D3DXVECTOR3 *pv)
1190 {
1191     FLOAT norm;
1192
1193     norm = D3DXVec3Length(pv);
1194     if ( !norm )
1195     {
1196      pout->x = 0.0f;
1197      pout->y = 0.0f;
1198      pout->z = 0.0f;
1199     }
1200     else
1201     {
1202      pout->x = pv->x / norm;
1203      pout->y = pv->y / norm;
1204      pout->z = pv->z / norm;
1205     }
1206     return pout;
1207 }
1208
1209 D3DXVECTOR3* WINAPI D3DXVec3Project(D3DXVECTOR3 *pout, CONST D3DXVECTOR3 *pv, CONST D3DVIEWPORT8 *pviewport, CONST D3DXMATRIX *pprojection, CONST D3DXMATRIX *pview, CONST D3DXMATRIX *pworld)
1210 {
1211     D3DXMATRIX m1, m2;
1212     D3DXVECTOR3 vec;
1213
1214     D3DXMatrixMultiply(&m1, pworld, pview);
1215     D3DXMatrixMultiply(&m2, &m1, pprojection);
1216     D3DXVec3TransformCoord(&vec, pv, &m2);
1217     pout->x = pviewport->X +  ( 1.0f + vec.x ) * pviewport->Width / 2.0f;
1218     pout->y = pviewport->Y +  ( 1.0f - vec.y ) * pviewport->Height / 2.0f;
1219     pout->z = pviewport->MinZ + vec.z * ( pviewport->MaxZ - pviewport->MinZ );
1220     return pout;
1221 }
1222
1223 D3DXVECTOR4* WINAPI D3DXVec3Transform(D3DXVECTOR4 *pout, CONST D3DXVECTOR3 *pv, CONST D3DXMATRIX *pm)
1224 {
1225     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];
1226     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];
1227     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];
1228     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];
1229     return pout;
1230 }
1231
1232 D3DXVECTOR3* WINAPI D3DXVec3TransformCoord(D3DXVECTOR3 *pout, CONST D3DXVECTOR3 *pv, CONST D3DXMATRIX *pm)
1233 {
1234     FLOAT norm;
1235
1236     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];
1237
1238     if ( norm )
1239     {
1240      CONST D3DXVECTOR3 v = *pv;
1241      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;
1242      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;
1243      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;
1244     }
1245     else
1246     {
1247      pout->x = 0.0f;
1248      pout->y = 0.0f;
1249      pout->z = 0.0f;
1250     }
1251     return pout;
1252 }
1253
1254 D3DXVECTOR3* WINAPI D3DXVec3TransformNormal(D3DXVECTOR3 *pout, CONST D3DXVECTOR3 *pv, CONST D3DXMATRIX *pm)
1255 {
1256     CONST D3DXVECTOR3 v = *pv;
1257     pout->x = pm->u.m[0][0] * v.x + pm->u.m[1][0] * v.y + pm->u.m[2][0] * v.z;
1258     pout->y = pm->u.m[0][1] * v.x + pm->u.m[1][1] * v.y + pm->u.m[2][1] * v.z;
1259     pout->z = pm->u.m[0][2] * v.x + pm->u.m[1][2] * v.y + pm->u.m[2][2] * v.z;
1260     return pout;
1261
1262 }
1263
1264 D3DXVECTOR3* WINAPI D3DXVec3Unproject(D3DXVECTOR3 *pout, CONST D3DXVECTOR3 *pv, CONST D3DVIEWPORT8 *pviewport, CONST D3DXMATRIX *pprojection, CONST D3DXMATRIX *pview, CONST D3DXMATRIX *pworld)
1265 {
1266     D3DXMATRIX m1, m2, m3;
1267     D3DXVECTOR3 vec;
1268
1269     D3DXMatrixMultiply(&m1, pworld, pview);
1270     D3DXMatrixMultiply(&m2, &m1, pprojection);
1271     D3DXMatrixInverse(&m3, NULL, &m2);
1272     vec.x = 2.0f * ( pv->x - pviewport->X ) / pviewport->Width - 1.0f;
1273     vec.y = 1.0f - 2.0f * ( pv->y - pviewport->Y ) / pviewport->Height;
1274     vec.z = ( pv->z - pviewport->MinZ) / ( pviewport->MaxZ - pviewport->MinZ );
1275     D3DXVec3TransformCoord(pout, &vec, &m3);
1276     return pout;
1277 }
1278
1279 /*_________________D3DXVec4_____________________*/
1280
1281 D3DXVECTOR4* WINAPI D3DXVec4BaryCentric(D3DXVECTOR4 *pout, CONST D3DXVECTOR4 *pv1, CONST D3DXVECTOR4 *pv2, CONST D3DXVECTOR4 *pv3, FLOAT f, FLOAT g)
1282 {
1283     pout->x = (1.0f-f-g) * (pv1->x) + f * (pv2->x) + g * (pv3->x);
1284     pout->y = (1.0f-f-g) * (pv1->y) + f * (pv2->y) + g * (pv3->y);
1285     pout->z = (1.0f-f-g) * (pv1->z) + f * (pv2->z) + g * (pv3->z);
1286     pout->w = (1.0f-f-g) * (pv1->w) + f * (pv2->w) + g * (pv3->w);
1287     return pout;
1288 }
1289
1290 D3DXVECTOR4* WINAPI D3DXVec4CatmullRom(D3DXVECTOR4 *pout, CONST D3DXVECTOR4 *pv0, CONST D3DXVECTOR4 *pv1, CONST D3DXVECTOR4 *pv2, CONST D3DXVECTOR4 *pv3, FLOAT s)
1291 {
1292     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);
1293     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);
1294     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);
1295     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);
1296     return pout;
1297 }
1298
1299 D3DXVECTOR4* WINAPI D3DXVec4Cross(D3DXVECTOR4 *pout, CONST D3DXVECTOR4 *pv1, CONST D3DXVECTOR4 *pv2, CONST D3DXVECTOR4 *pv3)
1300 {
1301     D3DXVECTOR4 out;
1302     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);
1303     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));
1304     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);
1305     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));
1306     *pout = out;
1307     return pout;
1308 }
1309
1310 D3DXVECTOR4* WINAPI D3DXVec4Hermite(D3DXVECTOR4 *pout, CONST D3DXVECTOR4 *pv1, CONST D3DXVECTOR4 *pt1, CONST D3DXVECTOR4 *pv2, CONST D3DXVECTOR4 *pt2, FLOAT s)
1311 {
1312     FLOAT h1, h2, h3, h4;
1313
1314     h1 = 2.0f * s * s * s - 3.0f * s * s + 1.0f;
1315     h2 = s * s * s - 2.0f * s * s + s;
1316     h3 = -2.0f * s * s * s + 3.0f * s * s;
1317     h4 = s * s * s - s * s;
1318
1319     pout->x = h1 * (pv1->x) + h2 * (pt1->x) + h3 * (pv2->x) + h4 * (pt2->x);
1320     pout->y = h1 * (pv1->y) + h2 * (pt1->y) + h3 * (pv2->y) + h4 * (pt2->y);
1321     pout->z = h1 * (pv1->z) + h2 * (pt1->z) + h3 * (pv2->z) + h4 * (pt2->z);
1322     pout->w = h1 * (pv1->w) + h2 * (pt1->w) + h3 * (pv2->w) + h4 * (pt2->w);
1323     return pout;
1324 }
1325
1326 D3DXVECTOR4* WINAPI D3DXVec4Normalize(D3DXVECTOR4 *pout, CONST D3DXVECTOR4 *pv)
1327 {
1328     FLOAT norm;
1329
1330     norm = D3DXVec4Length(pv);
1331     if ( !norm )
1332     {
1333      pout->x = 0.0f;
1334      pout->y = 0.0f;
1335      pout->z = 0.0f;
1336      pout->w = 0.0f;
1337     }
1338     else
1339     {
1340      pout->x = pv->x / norm;
1341      pout->y = pv->y / norm;
1342      pout->z = pv->z / norm;
1343      pout->w = pv->w / norm;
1344     }
1345     return pout;
1346 }
1347
1348 D3DXVECTOR4* WINAPI D3DXVec4Transform(D3DXVECTOR4 *pout, CONST D3DXVECTOR4 *pv, CONST D3DXMATRIX *pm)
1349 {
1350     D3DXVECTOR4 out;
1351     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;
1352     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;
1353     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;
1354     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;
1355     *pout = out;
1356     return pout;
1357 }