dlls/d3dx8/math.c

   1 /*
   2  * Copyright 2007 David Adam
   3  * Copyright 2008 Jérôme Gardou
   4  *
   5  * This library is free software; you can redistribute it and/or
   6  * modify it under the terms of the GNU Lesser General Public
   7  * License as published by the Free Software Foundation; either
   8  * version 2.1 of the License, or (at your option) any later version.
   9  *
  10  * This library is distributed in the hope that it will be useful,
  11  * but WITHOUT ANY WARRANTY; without even the implied warranty of
  12  * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
  13  * Lesser General Public License for more details.
  14  *
  15  * You should have received a copy of the GNU Lesser General Public
  16  * License along with this library; if not, write to the Free Software
  17  * Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301, USA
  18  */
  19
  20 #include <stdarg.h>
  21
  22 #define NONAMELESSUNION
  23
  24 #include "windef.h"
  25 #include "winbase.h"
  26 #include "wingdi.h"
  27 #include "d3dx8_private.h"
  28
  29 #include "wine/debug.h"
  30
  31 WINE_DEFAULT_DEBUG_CHANNEL(d3dx);
  32
  33 static const ID3DXMatrixStackVtbl ID3DXMatrixStack_Vtbl;
  34
  35 /*_________________D3DXColor____________________*/
  36
  37 D3DXCOLOR* WINAPI D3DXColorAdjustContrast(D3DXCOLOR *pout, CONST D3DXCOLOR *pc, FLOAT s)
  38 {
  39     pout->r = 0.5f + s * (pc->r - 0.5f);
  40     pout->g = 0.5f + s * (pc->g - 0.5f);
  41     pout->b = 0.5f + s * (pc->b - 0.5f);
  42     pout->a = pc->a;
  43     return pout;
  44 }
  45
  46 D3DXCOLOR* WINAPI D3DXColorAdjustSaturation(D3DXCOLOR *pout, CONST D3DXCOLOR *pc, FLOAT s)
  47 {
  48     FLOAT grey;
  49
  50     grey = pc->r * 0.2125f + pc->g * 0.7154f + pc->b * 0.0721f;
  51     pout->r = grey + s * (pc->r - grey);
  52     pout->g = grey + s * (pc->g - grey);
  53     pout->b = grey + s * (pc->b - grey);
  54     pout->a = pc->a;
  55     return pout;
  56 }
  57
  58 /*_________________Misc__________________________*/
  59
  60 FLOAT WINAPI D3DXFresnelTerm(FLOAT costheta, FLOAT refractionindex)
  61 {
  62     FLOAT a, d, g, result;
  63
  64     g = sqrt(refractionindex * refractionindex + costheta * costheta - 1.0f);
  65     a = g + costheta;
  66     d = g - costheta;
  67     result = ( costheta * a - 1.0f ) * ( costheta * a - 1.0f ) / ( ( costheta * d + 1.0f ) * ( costheta * d + 1.0f ) ) + 1.0f;
  68     result = result * 0.5f * d * d / ( a * a );
  69     return result;
  70 }
  71
  72 /*_________________D3DXMatrix____________________*/
  73
  74 D3DXMATRIX* WINAPI D3DXMatrixAffineTransformation(D3DXMATRIX *pout, FLOAT scaling, CONST D3DXVECTOR3 *rotationcenter, CONST D3DXQUATERNION *rotation, CONST D3DXVECTOR3 *translation)
  75 {
  76     D3DXMATRIX m1, m2, m3, m4, m5;
  77
  78     D3DXMatrixScaling(&m1, scaling, scaling, scaling);
  79     if ( !rotationcenter )
  80     {
  81      D3DXMatrixIdentity(&m2);
  82      D3DXMatrixIdentity(&m4);
  83     }
  84     else
  85     {
  86      D3DXMatrixTranslation(&m2, -rotationcenter->x, -rotationcenter->y, -rotationcenter->z);
  87      D3DXMatrixTranslation(&m4, rotationcenter->x, rotationcenter->y, rotationcenter->z);
  88     }
  89     if ( !rotation )
  90     {
  91      D3DXMatrixIdentity(&m3);
  92     }
  93     else
  94     {
  95      D3DXMatrixRotationQuaternion(&m3, rotation);
  96     }
  97     if ( !translation )
  98     {
  99      D3DXMatrixIdentity(&m5);
 100     }
 101     else
 102     {
 103      D3DXMatrixTranslation(&m5, translation->x, translation->y, translation->z);
 104     }
 105     D3DXMatrixMultiply(&m1, &m1, &m2);
 106     D3DXMatrixMultiply(&m1, &m1, &m3);
 107     D3DXMatrixMultiply(&m1, &m1, &m4);
 108     D3DXMatrixMultiply(pout, &m1, &m5);
 109     return pout;
 110 }
 111
 112 FLOAT WINAPI D3DXMatrixfDeterminant(CONST D3DXMATRIX *pm)
 113 {
 114     D3DXVECTOR4 minor, v1, v2, v3;
 115     FLOAT det;
 116
 117     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];
 118     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];
 119     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];
 120     D3DXVec4Cross(&minor, &v1, &v2, &v3);
 121     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);
 122     return det;
 123 }
 124
 125 D3DXMATRIX* WINAPI D3DXMatrixInverse(D3DXMATRIX *pout, FLOAT *pdeterminant, CONST D3DXMATRIX *pm)
 126 {
 127     int a, i, j;
 128     D3DXMATRIX out;
 129     D3DXVECTOR4 v, vec[3];
 130     FLOAT det;
 131
 132     det = D3DXMatrixfDeterminant(pm);
 133     if ( !det ) return NULL;
 134     if ( pdeterminant ) *pdeterminant = det;
 135     for (i=0; i<4; i++)
 136     {
 137      for (j=0; j<4; j++)
 138      {
 139       if (j != i )
 140       {
 141        a = j;
 142        if ( j > i ) a = a-1;
 143        vec[a].x = pm->u.m[j][0];
 144        vec[a].y = pm->u.m[j][1];
 145        vec[a].z = pm->u.m[j][2];
 146        vec[a].w = pm->u.m[j][3];
 147       }
 148      }
 149     D3DXVec4Cross(&v, &vec[0], &vec[1], &vec[2]);
 150     out.u.m[0][i] = pow(-1.0f, i) * v.x / det;
 151     out.u.m[1][i] = pow(-1.0f, i) * v.y / det;
 152     out.u.m[2][i] = pow(-1.0f, i) * v.z / det;
 153     out.u.m[3][i] = pow(-1.0f, i) * v.w / det;
 154    }
 155    *pout = out;
 156    return pout;
 157 }
 158
 159 D3DXMATRIX* WINAPI D3DXMatrixLookAtLH(D3DXMATRIX *pout, CONST D3DXVECTOR3 *peye, CONST D3DXVECTOR3 *pat, CONST D3DXVECTOR3 *pup)
 160 {
 161     D3DXVECTOR3 right, rightn, up, upn, vec, vec2;
 162
 163     D3DXVec3Subtract(&vec2, pat, peye);
 164     D3DXVec3Normalize(&vec, &vec2);
 165     D3DXVec3Cross(&right, pup, &vec);
 166     D3DXVec3Cross(&up, &vec, &right);
 167     D3DXVec3Normalize(&rightn, &right);
 168     D3DXVec3Normalize(&upn, &up);
 169     pout->u.m[0][0] = rightn.x;
 170     pout->u.m[1][0] = rightn.y;
 171     pout->u.m[2][0] = rightn.z;
 172     pout->u.m[3][0] = -D3DXVec3Dot(&rightn,peye);
 173     pout->u.m[0][1] = upn.x;
 174     pout->u.m[1][1] = upn.y;
 175     pout->u.m[2][1] = upn.z;
 176     pout->u.m[3][1] = -D3DXVec3Dot(&upn, peye);
 177     pout->u.m[0][2] = vec.x;
 178     pout->u.m[1][2] = vec.y;
 179     pout->u.m[2][2] = vec.z;
 180     pout->u.m[3][2] = -D3DXVec3Dot(&vec, peye);
 181     pout->u.m[0][3] = 0.0f;
 182     pout->u.m[1][3] = 0.0f;
 183     pout->u.m[2][3] = 0.0f;
 184     pout->u.m[3][3] = 1.0f;
 185     return pout;
 186 }
 187
 188 D3DXMATRIX* WINAPI D3DXMatrixLookAtRH(D3DXMATRIX *pout, CONST D3DXVECTOR3 *peye, CONST D3DXVECTOR3 *pat, CONST D3DXVECTOR3 *pup)
 189 {
 190     D3DXVECTOR3 right, rightn, up, upn, vec, vec2;
 191
 192     D3DXVec3Subtract(&vec2, pat, peye);
 193     D3DXVec3Normalize(&vec, &vec2);
 194     D3DXVec3Cross(&right, pup, &vec);
 195     D3DXVec3Cross(&up, &vec, &right);
 196     D3DXVec3Normalize(&rightn, &right);
 197     D3DXVec3Normalize(&upn, &up);
 198     pout->u.m[0][0] = -rightn.x;
 199     pout->u.m[1][0] = -rightn.y;
 200     pout->u.m[2][0] = -rightn.z;
 201     pout->u.m[3][0] = D3DXVec3Dot(&rightn,peye);
 202     pout->u.m[0][1] = upn.x;
 203     pout->u.m[1][1] = upn.y;
 204     pout->u.m[2][1] = upn.z;
 205     pout->u.m[3][1] = -D3DXVec3Dot(&upn, peye);
 206     pout->u.m[0][2] = -vec.x;
 207     pout->u.m[1][2] = -vec.y;
 208     pout->u.m[2][2] = -vec.z;
 209     pout->u.m[3][2] = D3DXVec3Dot(&vec, peye);
 210     pout->u.m[0][3] = 0.0f;
 211     pout->u.m[1][3] = 0.0f;
 212     pout->u.m[2][3] = 0.0f;
 213     pout->u.m[3][3] = 1.0f;
 214     return pout;
 215 }
 216
 217 D3DXMATRIX* WINAPI D3DXMatrixMultiply(D3DXMATRIX *pout, CONST D3DXMATRIX *pm1, CONST D3DXMATRIX *pm2)
 218 {
 219     D3DXMATRIX out;
 220     int i,j;
 221
 222     for (i=0; i<4; i++)
 223     {
 224      for (j=0; j<4; j++)
 225      {
 226       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];
 227      }
 228     }
 229     *pout = out;
 230     return pout;
 231 }
 232
 233 D3DXMATRIX* WINAPI D3DXMatrixMultiplyTranspose(D3DXMATRIX *pout, CONST D3DXMATRIX *pm1, CONST D3DXMATRIX *pm2)
 234 {
 235     D3DXMatrixMultiply(pout, pm1, pm2);
 236     D3DXMatrixTranspose(pout, pout);
 237     return pout;
 238 }
 239
 240 D3DXMATRIX* WINAPI D3DXMatrixOrthoLH(D3DXMATRIX *pout, FLOAT w, FLOAT h, FLOAT zn, FLOAT zf)
 241 {
 242     D3DXMatrixIdentity(pout);
 243     pout->u.m[0][0] = 2.0f / w;
 244     pout->u.m[1][1] = 2.0f / h;
 245     pout->u.m[2][2] = 1.0f / (zf - zn);
 246     pout->u.m[3][2] = zn / (zn - zf);
 247     return pout;
 248 }
 249
 250 D3DXMATRIX* WINAPI D3DXMatrixOrthoOffCenterLH(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 / (zf -zn);
 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 D3DXMatrixOrthoOffCenterRH(D3DXMATRIX *pout, FLOAT l, FLOAT r, FLOAT b, FLOAT t, FLOAT zn, FLOAT zf)
 263 {
 264     D3DXMatrixIdentity(pout);
 265     pout->u.m[0][0] = 2.0f / (r - l);
 266     pout->u.m[1][1] = 2.0f / (t - b);
 267     pout->u.m[2][2] = 1.0f / (zn -zf);
 268     pout->u.m[3][0] = -1.0f -2.0f *l / (r - l);
 269     pout->u.m[3][1] = 1.0f + 2.0f * t / (b - t);
 270     pout->u.m[3][2] = zn / (zn -zf);
 271     return pout;
 272 }
 273
 274 D3DXMATRIX* WINAPI D3DXMatrixOrthoRH(D3DXMATRIX *pout, FLOAT w, FLOAT h, FLOAT zn, FLOAT zf)
 275 {
 276     D3DXMatrixIdentity(pout);
 277     pout->u.m[0][0] = 2.0f / w;
 278     pout->u.m[1][1] = 2.0f / h;
 279     pout->u.m[2][2] = 1.0f / (zn - zf);
 280     pout->u.m[3][2] = zn / (zn - zf);
 281     return pout;
 282 }
 283
 284 D3DXMATRIX* WINAPI D3DXMatrixPerspectiveFovLH(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 / (zf - zn);
 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 D3DXMatrixPerspectiveFovRH(D3DXMATRIX *pout, FLOAT fovy, FLOAT aspect, FLOAT zn, FLOAT zf)
 297 {
 298     D3DXMatrixIdentity(pout);
 299     pout->u.m[0][0] = 1.0f / (aspect * tan(fovy/2.0f));
 300     pout->u.m[1][1] = 1.0f / tan(fovy/2.0f);
 301     pout->u.m[2][2] = zf / (zn - zf);
 302     pout->u.m[2][3] = -1.0f;
 303     pout->u.m[3][2] = (zf * zn) / (zn - zf);
 304     pout->u.m[3][3] = 0.0f;
 305     return pout;
 306 }
 307
 308 D3DXMATRIX* WINAPI D3DXMatrixPerspectiveLH(D3DXMATRIX *pout, FLOAT w, FLOAT h, FLOAT zn, FLOAT zf)
 309 {
 310     D3DXMatrixIdentity(pout);
 311     pout->u.m[0][0] = 2.0f * zn / w;
 312     pout->u.m[1][1] = 2.0f * zn / h;
 313     pout->u.m[2][2] = zf / (zf - zn);
 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 D3DXMatrixPerspectiveOffCenterLH(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 D3DXMatrixPerspectiveOffCenterRH(D3DXMATRIX *pout, FLOAT l, FLOAT r, FLOAT b, FLOAT t, FLOAT zn, FLOAT zf)
 335 {
 336     D3DXMatrixIdentity(pout);
 337     pout->u.m[0][0] = 2.0f * zn / (r - l);
 338     pout->u.m[1][1] = -2.0f * zn / (b - t);
 339     pout->u.m[2][0] = 1.0f + 2.0f * l / (r - l);
 340     pout->u.m[2][1] = -1.0f -2.0f * t / (b - t);
 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 D3DXMatrixPerspectiveRH(D3DXMATRIX *pout, FLOAT w, FLOAT h, FLOAT zn, FLOAT zf)
 349 {
 350     D3DXMatrixIdentity(pout);
 351     pout->u.m[0][0] = 2.0f * zn / w;
 352     pout->u.m[1][1] = 2.0f * zn / h;
 353     pout->u.m[2][2] = zf / (zn - zf);
 354     pout->u.m[3][2] = (zn * zf) / (zn - zf);
 355     pout->u.m[2][3] = -1.0f;
 356     pout->u.m[3][3] = 0.0f;
 357     return pout;
 358 }
 359
 360 D3DXMATRIX* WINAPI D3DXMatrixReflect(D3DXMATRIX *pout, CONST D3DXPLANE *pplane)
 361 {
 362     D3DXPLANE Nplane;
 363
 364     D3DXPlaneNormalize(&Nplane, pplane);
 365     D3DXMatrixIdentity(pout);
 366     pout->u.m[0][0] = 1.0f - 2.0f * Nplane.a * Nplane.a;
 367     pout->u.m[0][1] = -2.0f * Nplane.a * Nplane.b;
 368     pout->u.m[0][2] = -2.0f * Nplane.a * Nplane.c;
 369     pout->u.m[1][0] = -2.0f * Nplane.a * Nplane.b;
 370     pout->u.m[1][1] = 1.0f - 2.0f * Nplane.b * Nplane.b;
 371     pout->u.m[1][2] = -2.0f * Nplane.b * Nplane.c;
 372     pout->u.m[2][0] = -2.0f * Nplane.c * Nplane.a;
 373     pout->u.m[2][1] = -2.0f * Nplane.c * Nplane.b;
 374     pout->u.m[2][2] = 1.0f - 2.0f * Nplane.c * Nplane.c;
 375     pout->u.m[3][0] = -2.0f * Nplane.d * Nplane.a;
 376     pout->u.m[3][1] = -2.0f * Nplane.d * Nplane.b;
 377     pout->u.m[3][2] = -2.0f * Nplane.d * Nplane.c;
 378     return pout;
 379 }
 380
 381 D3DXMATRIX* WINAPI D3DXMatrixRotationAxis(D3DXMATRIX *pout, CONST D3DXVECTOR3 *pv, FLOAT angle)
 382 {
 383     D3DXVECTOR3 v;
 384
 385     D3DXVec3Normalize(&v,pv);
 386     D3DXMatrixIdentity(pout);
 387     pout->u.m[0][0] = (1.0f - cos(angle)) * v.x * v.x + cos(angle);
 388     pout->u.m[1][0] = (1.0f - cos(angle)) * v.x * v.y - sin(angle) * v.z;
 389     pout->u.m[2][0] = (1.0f - cos(angle)) * v.x * v.z + sin(angle) * v.y;
 390     pout->u.m[0][1] = (1.0f - cos(angle)) * v.y * v.x + sin(angle) * v.z;
 391     pout->u.m[1][1] = (1.0f - cos(angle)) * v.y * v.y + cos(angle);
 392     pout->u.m[2][1] = (1.0f - cos(angle)) * v.y * v.z - sin(angle) * v.x;
 393     pout->u.m[0][2] = (1.0f - cos(angle)) * v.z * v.x - sin(angle) * v.y;
 394     pout->u.m[1][2] = (1.0f - cos(angle)) * v.z * v.y + sin(angle) * v.x;
 395     pout->u.m[2][2] = (1.0f - cos(angle)) * v.z * v.z + cos(angle);
 396     return pout;
 397 }
 398
 399 D3DXMATRIX* WINAPI D3DXMatrixRotationQuaternion(D3DXMATRIX *pout, CONST D3DXQUATERNION *pq)
 400 {
 401     D3DXMatrixIdentity(pout);
 402     pout->u.m[0][0] = 1.0f - 2.0f * (pq->y * pq->y + pq->z * pq->z);
 403     pout->u.m[0][1] = 2.0f * (pq->x *pq->y + pq->z * pq->w);
 404     pout->u.m[0][2] = 2.0f * (pq->x * pq->z - pq->y * pq->w);
 405     pout->u.m[1][0] = 2.0f * (pq->x * pq->y - pq->z * pq->w);
 406     pout->u.m[1][1] = 1.0f - 2.0f * (pq->x * pq->x + pq->z * pq->z);
 407     pout->u.m[1][2] = 2.0f * (pq->y *pq->z + pq->x *pq->w);
 408     pout->u.m[2][0] = 2.0f * (pq->x * pq->z + pq->y * pq->w);
 409     pout->u.m[2][1] = 2.0f * (pq->y *pq->z - pq->x *pq->w);
 410     pout->u.m[2][2] = 1.0f - 2.0f * (pq->x * pq->x + pq->y * pq->y);
 411     return pout;
 412 }
 413
 414 D3DXMATRIX* WINAPI D3DXMatrixRotationX(D3DXMATRIX *pout, FLOAT angle)
 415 {
 416     D3DXMatrixIdentity(pout);
 417     pout->u.m[1][1] = cos(angle);
 418     pout->u.m[2][2] = cos(angle);
 419     pout->u.m[1][2] = sin(angle);
 420     pout->u.m[2][1] = -sin(angle);
 421     return pout;
 422 }
 423
 424 D3DXMATRIX* WINAPI D3DXMatrixRotationY(D3DXMATRIX *pout, FLOAT angle)
 425 {
 426     D3DXMatrixIdentity(pout);
 427     pout->u.m[0][0] = cos(angle);
 428     pout->u.m[2][2] = cos(angle);
 429     pout->u.m[0][2] = -sin(angle);
 430     pout->u.m[2][0] = sin(angle);
 431     return pout;
 432 }
 433
 434 D3DXMATRIX* WINAPI D3DXMatrixRotationYawPitchRoll(D3DXMATRIX *pout, FLOAT yaw, FLOAT pitch, FLOAT roll)
 435 {
 436     D3DXMATRIX m;
 437
 438     D3DXMatrixIdentity(pout);
 439     D3DXMatrixRotationZ(&m, roll);
 440     D3DXMatrixMultiply(pout, pout, &m);
 441     D3DXMatrixRotationX(&m, pitch);
 442     D3DXMatrixMultiply(pout, pout, &m);
 443     D3DXMatrixRotationY(&m, yaw);
 444     D3DXMatrixMultiply(pout, pout, &m);
 445     return pout;
 446 }
 447 D3DXMATRIX* WINAPI D3DXMatrixRotationZ(D3DXMATRIX *pout, FLOAT angle)
 448 {
 449     D3DXMatrixIdentity(pout);
 450     pout->u.m[0][0] = cos(angle);
 451     pout->u.m[1][1] = cos(angle);
 452     pout->u.m[0][1] = sin(angle);
 453     pout->u.m[1][0] = -sin(angle);
 454     return pout;
 455 }
 456
 457 D3DXMATRIX* WINAPI D3DXMatrixScaling(D3DXMATRIX *pout, FLOAT sx, FLOAT sy, FLOAT sz)
 458 {
 459     D3DXMatrixIdentity(pout);
 460     pout->u.m[0][0] = sx;
 461     pout->u.m[1][1] = sy;
 462     pout->u.m[2][2] = sz;
 463     return pout;
 464 }
 465
 466 D3DXMATRIX* WINAPI D3DXMatrixShadow(D3DXMATRIX *pout, CONST D3DXVECTOR4 *plight, CONST D3DXPLANE *pplane)
 467 {
 468     D3DXPLANE Nplane;
 469     FLOAT dot;
 470
 471     D3DXPlaneNormalize(&Nplane, pplane);
 472     dot = D3DXPlaneDot(&Nplane, plight);
 473     pout->u.m[0][0] = dot - Nplane.a * plight->x;
 474     pout->u.m[0][1] = -Nplane.a * plight->y;
 475     pout->u.m[0][2] = -Nplane.a * plight->z;
 476     pout->u.m[0][3] = -Nplane.a * plight->w;
 477     pout->u.m[1][0] = -Nplane.b * plight->x;
 478     pout->u.m[1][1] = dot - Nplane.b * plight->y;
 479     pout->u.m[1][2] = -Nplane.b * plight->z;
 480     pout->u.m[1][3] = -Nplane.b * plight->w;
 481     pout->u.m[2][0] = -Nplane.c * plight->x;
 482     pout->u.m[2][1] = -Nplane.c * plight->y;
 483     pout->u.m[2][2] = dot - Nplane.c * plight->z;
 484     pout->u.m[2][3] = -Nplane.c * plight->w;
 485     pout->u.m[3][0] = -Nplane.d * plight->x;
 486     pout->u.m[3][1] = -Nplane.d * plight->y;
 487     pout->u.m[3][2] = -Nplane.d * plight->z;
 488     pout->u.m[3][3] = dot - Nplane.d * plight->w;
 489     return pout;
 490 }
 491
 492 D3DXMATRIX* WINAPI D3DXMatrixTransformation(D3DXMATRIX *pout, CONST D3DXVECTOR3 *pscalingcenter, CONST D3DXQUATERNION *pscalingrotation, CONST D3DXVECTOR3 *pscaling, CONST D3DXVECTOR3 *protationcenter, CONST D3DXQUATERNION *protation, CONST D3DXVECTOR3 *ptranslation)
 493 {
 494     D3DXMATRIX m1, m2, m3, m4, m5, m6, m7;
 495     D3DXQUATERNION prc;
 496     D3DXVECTOR3 psc, pt;
 497
 498     if ( !pscalingcenter )
 499     {
 500      psc.x = 0.0f;
 501      psc.y = 0.0f;
 502      psc.z = 0.0f;
 503     }
 504     else
 505     {
 506      psc.x = pscalingcenter->x;
 507      psc.y = pscalingcenter->y;
 508      psc.z = pscalingcenter->z;
 509     }
 510     if ( !protationcenter )
 511     {
 512      prc.x = 0.0f;
 513      prc.y = 0.0f;
 514      prc.z = 0.0f;
 515     }
 516     else
 517     {
 518      prc.x = protationcenter->x;
 519      prc.y = protationcenter->y;
 520      prc.z = protationcenter->z;
 521     }
 522     if ( !ptranslation )
 523     {
 524      pt.x = 0.0f;
 525      pt.y = 0.0f;
 526      pt.z = 0.0f;
 527     }
 528     else
 529     {
 530      pt.x = ptranslation->x;
 531      pt.y = ptranslation->y;
 532      pt.z = ptranslation->z;
 533     }
 534     D3DXMatrixTranslation(&m1, -psc.x, -psc.y, -psc.z);
 535     if ( !pscalingrotation )
 536     {
 537      D3DXMatrixIdentity(&m2);
 538      D3DXMatrixIdentity(&m4);
 539     }
 540     else
 541     {
 542      D3DXMatrixRotationQuaternion(&m4, pscalingrotation);
 543      D3DXMatrixInverse(&m2, NULL, &m4);
 544     }
 545     if ( !pscaling )
 546     {
 547      D3DXMatrixIdentity(&m3);
 548     }
 549     else
 550     {
 551     D3DXMatrixScaling(&m3, pscaling->x, pscaling->y, pscaling->z);
 552     }
 553     if ( !protation )
 554     {
 555      D3DXMatrixIdentity(&m6);
 556     }
 557     else
 558     {
 559      D3DXMatrixRotationQuaternion(&m6, protation);
 560     }
 561     D3DXMatrixTranslation(&m5, psc.x - prc.x,  psc.y - prc.y,  psc.z - prc.z);
 562     D3DXMatrixTranslation(&m7, prc.x + pt.x, prc.y + pt.y, prc.z + pt.z);
 563     D3DXMatrixMultiply(&m1, &m1, &m2);
 564     D3DXMatrixMultiply(&m1, &m1, &m3);
 565     D3DXMatrixMultiply(&m1, &m1, &m4);
 566     D3DXMatrixMultiply(&m1, &m1, &m5);
 567     D3DXMatrixMultiply(&m1, &m1, &m6);
 568     D3DXMatrixMultiply(pout, &m1, &m7);
 569     return pout;
 570 }
 571
 572 D3DXMATRIX* WINAPI D3DXMatrixTranslation(D3DXMATRIX *pout, FLOAT x, FLOAT y, FLOAT z)
 573 {
 574     D3DXMatrixIdentity(pout);
 575     pout->u.m[3][0] = x;
 576     pout->u.m[3][1] = y;
 577     pout->u.m[3][2] = z;
 578     return pout;
 579 }
 580
 581 D3DXMATRIX* WINAPI D3DXMatrixTranspose(D3DXMATRIX *pout, CONST D3DXMATRIX *pm)
 582 {
 583     CONST D3DXMATRIX m = *pm;
 584     int i,j;
 585
 586     for (i=0; i<4; i++)
 587     {
 588      for (j=0; j<4; j++)
 589      {
 590       pout->u.m[i][j] = m.u.m[j][i];
 591      }
 592     }
 593     return pout;
 594 }
 595
 596 /*_________________D3DXMatrixStack____________________*/
 597
 598 static const unsigned int INITIAL_STACK_SIZE = 32;
 599
 600 HRESULT WINAPI D3DXCreateMatrixStack(DWORD flags, LPD3DXMATRIXSTACK* ppstack)
 601 {
 602     ID3DXMatrixStackImpl* object;
 603
 604     TRACE("flags %#x, ppstack %p\n", flags, ppstack);
 605
 606     object = HeapAlloc(GetProcessHeap(), HEAP_ZERO_MEMORY, sizeof(ID3DXMatrixStackImpl));
 607     if ( object == NULL )
 608     {
 609      *ppstack = NULL;
 610      return E_OUTOFMEMORY;
 611     }
 612     object->lpVtbl = &ID3DXMatrixStack_Vtbl;
 613     object->ref = 1;
 614
 615     object->stack = HeapAlloc(GetProcessHeap(), 0, INITIAL_STACK_SIZE * sizeof(D3DXMATRIX));
 616     if (!object->stack)
 617     {
 618         HeapFree(GetProcessHeap(), 0, object);
 619         *ppstack = NULL;
 620         return E_OUTOFMEMORY;
 621     }
 622
 623     object->current = 0;
 624     object->stack_size = INITIAL_STACK_SIZE;
 625     D3DXMatrixIdentity(&object->stack[0]);
 626
 627     TRACE("Created matrix stack %p\n", object);
 628
 629     *ppstack = (LPD3DXMATRIXSTACK)object;
 630     return D3D_OK;
 631 }
 632
 633 static HRESULT WINAPI ID3DXMatrixStackImpl_QueryInterface(ID3DXMatrixStack *iface, REFIID riid, void **ppobj)
 634 {
 635     ID3DXMatrixStackImpl *This = (ID3DXMatrixStackImpl *)iface;
 636     if (IsEqualGUID(riid, &IID_IUnknown) || IsEqualGUID(riid, &IID_ID3DXMatrixStack))
 637     {
 638      ID3DXMatrixStack_AddRef(iface);
 639      *ppobj = This;
 640      return S_OK;
 641     }
 642     *ppobj = NULL;
 643     ERR("(%p)->(%s,%p),not found\n",This,debugstr_guid(riid),ppobj);
 644     return E_NOINTERFACE;
 645 }
 646
 647 static ULONG WINAPI ID3DXMatrixStackImpl_AddRef(ID3DXMatrixStack *iface)
 648 {
 649     ID3DXMatrixStackImpl *This = (ID3DXMatrixStackImpl *)iface;
 650     ULONG ref = InterlockedIncrement(&This->ref);
 651     TRACE("(%p) : AddRef from %d\n", This, ref - 1);
 652     return ref;
 653 }
 654
 655 static ULONG WINAPI ID3DXMatrixStackImpl_Release(ID3DXMatrixStack* iface)
 656 {
 657     ID3DXMatrixStackImpl *This = (ID3DXMatrixStackImpl *)iface;
 658     ULONG ref = InterlockedDecrement(&This->ref);
 659     if (!ref)
 660     {
 661         HeapFree(GetProcessHeap(), 0, This->stack);
 662         HeapFree(GetProcessHeap(), 0, This);
 663     }
 664     TRACE("(%p) : ReleaseRef to %d\n", This, ref);
 665     return ref;
 666 }
 667
 668 static D3DXMATRIX* WINAPI ID3DXMatrixStackImpl_GetTop(ID3DXMatrixStack *iface)
 669 {
 670     ID3DXMatrixStackImpl *This = (ID3DXMatrixStackImpl *)iface;
 671
 672     TRACE("iface %p\n", iface);
 673
 674     return &This->stack[This->current];
 675 }
 676
 677 static HRESULT WINAPI ID3DXMatrixStackImpl_LoadIdentity(ID3DXMatrixStack *iface)
 678 {
 679     ID3DXMatrixStackImpl *This = (ID3DXMatrixStackImpl *)iface;
 680
 681     TRACE("iface %p\n", iface);
 682
 683     D3DXMatrixIdentity(&This->stack[This->current]);
 684
 685     return D3D_OK;
 686 }
 687
 688 static HRESULT WINAPI ID3DXMatrixStackImpl_LoadMatrix(ID3DXMatrixStack *iface, CONST D3DXMATRIX *pm)
 689 {
 690     ID3DXMatrixStackImpl *This = (ID3DXMatrixStackImpl *)iface;
 691
 692     TRACE("iface %p\n", iface);
 693
 694     if (!pm) return D3DERR_INVALIDCALL;
 695     This->stack[This->current] = *pm;
 696
 697     return D3D_OK;
 698 }
 699
 700 static HRESULT WINAPI ID3DXMatrixStackImpl_MultMatrix(ID3DXMatrixStack *iface, CONST D3DXMATRIX *pm)
 701 {
 702     ID3DXMatrixStackImpl *This = (ID3DXMatrixStackImpl *)iface;
 703
 704     TRACE("iface %p\n", iface);
 705
 706     if (!pm) return D3DERR_INVALIDCALL;
 707     D3DXMatrixMultiply(&This->stack[This->current], &This->stack[This->current], pm);
 708
 709     return D3D_OK;
 710 }
 711
 712 static HRESULT WINAPI ID3DXMatrixStackImpl_MultMatrixLocal(ID3DXMatrixStack *iface, CONST D3DXMATRIX *pm)
 713 {
 714     ID3DXMatrixStackImpl *This = (ID3DXMatrixStackImpl *)iface;
 715
 716     TRACE("iface %p\n", iface);
 717
 718     if (!pm) return D3DERR_INVALIDCALL;
 719     D3DXMatrixMultiply(&This->stack[This->current], pm, &This->stack[This->current]);
 720
 721     return D3D_OK;
 722 }
 723
 724 static HRESULT WINAPI ID3DXMatrixStackImpl_Pop(ID3DXMatrixStack *iface)
 725 {
 726     ID3DXMatrixStackImpl *This = (ID3DXMatrixStackImpl *)iface;
 727
 728     TRACE("iface %p\n", iface);
 729
 730     /* Popping the last element on the stack returns D3D_OK, but does nothing. */
 731     if (!This->current) return D3D_OK;
 732
 733     if (This->current <= This->stack_size / 4 && This->stack_size >= INITIAL_STACK_SIZE * 2)
 734     {
 735         unsigned int new_size;
 736         D3DXMATRIX *new_stack;
 737
 738         new_size = This->stack_size / 2;
 739         new_stack = HeapReAlloc(GetProcessHeap(), 0, This->stack, new_size * sizeof(D3DXMATRIX));
 740         if (new_stack)
 741         {
 742             This->stack_size = new_size;
 743             This->stack = new_stack;
 744         }
 745     }
 746
 747     --This->current;
 748
 749     return D3D_OK;
 750 }
 751
 752 static HRESULT WINAPI ID3DXMatrixStackImpl_Push(ID3DXMatrixStack *iface)
 753 {
 754     ID3DXMatrixStackImpl *This = (ID3DXMatrixStackImpl *)iface;
 755
 756     TRACE("iface %p\n", iface);
 757
 758     if (This->current == This->stack_size - 1)
 759     {
 760         unsigned int new_size;
 761         D3DXMATRIX *new_stack;
 762
 763         if (This->stack_size > UINT_MAX / 2) return E_OUTOFMEMORY;
 764
 765         new_size = This->stack_size * 2;
 766         new_stack = HeapReAlloc(GetProcessHeap(), 0, This->stack, new_size * sizeof(D3DXMATRIX));
 767         if (!new_stack) return E_OUTOFMEMORY;
 768
 769         This->stack_size = new_size;
 770         This->stack = new_stack;
 771     }
 772
 773     ++This->current;
 774     This->stack[This->current] = This->stack[This->current - 1];
 775
 776     return D3D_OK;
 777 }
 778
 779 static HRESULT WINAPI ID3DXMatrixStackImpl_RotateAxis(ID3DXMatrixStack *iface, CONST D3DXVECTOR3 *pv, FLOAT angle)
 780 {
 781     D3DXMATRIX temp;
 782     ID3DXMatrixStackImpl *This = (ID3DXMatrixStackImpl *)iface;
 783
 784     TRACE("iface %p\n", iface);
 785
 786     if (!pv) return D3DERR_INVALIDCALL;
 787     D3DXMatrixRotationAxis(&temp, pv, angle);
 788     D3DXMatrixMultiply(&This->stack[This->current], &This->stack[This->current], &temp);
 789
 790     return D3D_OK;
 791 }
 792
 793 static HRESULT WINAPI ID3DXMatrixStackImpl_RotateAxisLocal(ID3DXMatrixStack *iface, CONST D3DXVECTOR3 *pv, FLOAT angle)
 794 {
 795     D3DXMATRIX temp;
 796     ID3DXMatrixStackImpl *This = (ID3DXMatrixStackImpl *)iface;
 797
 798     TRACE("iface %p\n", iface);
 799
 800     if (!pv) return D3DERR_INVALIDCALL;
 801     D3DXMatrixRotationAxis(&temp, pv, angle);
 802     D3DXMatrixMultiply(&This->stack[This->current], &temp, &This->stack[This->current]);
 803
 804     return D3D_OK;
 805 }
 806
 807 static HRESULT WINAPI ID3DXMatrixStackImpl_RotateYawPitchRoll(ID3DXMatrixStack *iface, FLOAT x, FLOAT y, FLOAT z)
 808 {
 809     D3DXMATRIX temp;
 810     ID3DXMatrixStackImpl *This = (ID3DXMatrixStackImpl *)iface;
 811
 812     TRACE("iface %p\n", iface);
 813
 814     D3DXMatrixRotationYawPitchRoll(&temp, x, y, z);
 815     D3DXMatrixMultiply(&This->stack[This->current], &This->stack[This->current], &temp);
 816
 817     return D3D_OK;
 818 }
 819
 820 static HRESULT WINAPI ID3DXMatrixStackImpl_RotateYawPitchRollLocal(ID3DXMatrixStack *iface, FLOAT x, FLOAT y, FLOAT z)
 821 {
 822     D3DXMATRIX temp;
 823     ID3DXMatrixStackImpl *This = (ID3DXMatrixStackImpl *)iface;
 824
 825     TRACE("iface %p\n", iface);
 826
 827     D3DXMatrixRotationYawPitchRoll(&temp, x, y, z);
 828     D3DXMatrixMultiply(&This->stack[This->current], &temp, &This->stack[This->current]);
 829
 830     return D3D_OK;
 831 }
 832
 833 static HRESULT WINAPI ID3DXMatrixStackImpl_Scale(ID3DXMatrixStack *iface, FLOAT x, FLOAT y, FLOAT z)
 834 {
 835     D3DXMATRIX temp;
 836     ID3DXMatrixStackImpl *This = (ID3DXMatrixStackImpl *)iface;
 837
 838     TRACE("iface %p\n", iface);
 839
 840     D3DXMatrixScaling(&temp, x, y, z);
 841     D3DXMatrixMultiply(&This->stack[This->current], &This->stack[This->current], &temp);
 842
 843     return D3D_OK;
 844 }
 845
 846 static HRESULT WINAPI ID3DXMatrixStackImpl_ScaleLocal(ID3DXMatrixStack *iface, FLOAT x, FLOAT y, FLOAT z)
 847 {
 848     D3DXMATRIX temp;
 849     ID3DXMatrixStackImpl *This = (ID3DXMatrixStackImpl *)iface;
 850
 851     TRACE("iface %p\n", iface);
 852
 853     D3DXMatrixScaling(&temp, x, y, z);
 854     D3DXMatrixMultiply(&This->stack[This->current], &temp, &This->stack[This->current]);
 855
 856     return D3D_OK;
 857 }
 858
 859 static HRESULT WINAPI ID3DXMatrixStackImpl_Translate(ID3DXMatrixStack *iface, FLOAT x, FLOAT y, FLOAT z)
 860 {
 861     D3DXMATRIX temp;
 862     ID3DXMatrixStackImpl *This = (ID3DXMatrixStackImpl *)iface;
 863
 864     TRACE("iface %p\n", iface);
 865
 866     D3DXMatrixTranslation(&temp, x, y, z);
 867     D3DXMatrixMultiply(&This->stack[This->current], &This->stack[This->current], &temp);
 868
 869     return D3D_OK;
 870 }
 871
 872 static HRESULT WINAPI ID3DXMatrixStackImpl_TranslateLocal(ID3DXMatrixStack *iface, FLOAT x, FLOAT y, FLOAT z)
 873 {
 874     D3DXMATRIX temp;
 875     ID3DXMatrixStackImpl *This = (ID3DXMatrixStackImpl *)iface;
 876
 877     TRACE("iface %p\n", iface);
 878
 879     D3DXMatrixTranslation(&temp, x, y, z);
 880     D3DXMatrixMultiply(&This->stack[This->current], &temp,&This->stack[This->current]);
 881
 882     return D3D_OK;
 883 }
 884
 885 static const ID3DXMatrixStackVtbl ID3DXMatrixStack_Vtbl =
 886 {
 887     ID3DXMatrixStackImpl_QueryInterface,
 888     ID3DXMatrixStackImpl_AddRef,
 889     ID3DXMatrixStackImpl_Release,
 890     ID3DXMatrixStackImpl_Pop,
 891     ID3DXMatrixStackImpl_Push,
 892     ID3DXMatrixStackImpl_LoadIdentity,
 893     ID3DXMatrixStackImpl_LoadMatrix,
 894     ID3DXMatrixStackImpl_MultMatrix,
 895     ID3DXMatrixStackImpl_MultMatrixLocal,
 896     ID3DXMatrixStackImpl_RotateAxis,
 897     ID3DXMatrixStackImpl_RotateAxisLocal,
 898     ID3DXMatrixStackImpl_RotateYawPitchRoll,
 899     ID3DXMatrixStackImpl_RotateYawPitchRollLocal,
 900     ID3DXMatrixStackImpl_Scale,
 901     ID3DXMatrixStackImpl_ScaleLocal,
 902     ID3DXMatrixStackImpl_Translate,
 903     ID3DXMatrixStackImpl_TranslateLocal,
 904     ID3DXMatrixStackImpl_GetTop
 905 };
 906
 907 /*_________________D3DXPLANE________________*/
 908
 909 D3DXPLANE* WINAPI D3DXPlaneFromPointNormal(D3DXPLANE *pout, CONST D3DXVECTOR3 *pvpoint, CONST D3DXVECTOR3 *pvnormal)
 910 {
 911     pout->a = pvnormal->x;
 912     pout->b = pvnormal->y;
 913     pout->c = pvnormal->z;
 914     pout->d = -D3DXVec3Dot(pvpoint, pvnormal);
 915     return pout;
 916 }
 917
 918 D3DXPLANE* WINAPI D3DXPlaneFromPoints(D3DXPLANE *pout, CONST D3DXVECTOR3 *pv1, CONST D3DXVECTOR3 *pv2, CONST D3DXVECTOR3 *pv3)
 919 {
 920     D3DXVECTOR3 edge1, edge2, normal, Nnormal;
 921
 922     edge1.x = 0.0f; edge1.y = 0.0f; edge1.z = 0.0f;
 923     edge2.x = 0.0f; edge2.y = 0.0f; edge2.z = 0.0f;
 924     D3DXVec3Subtract(&edge1, pv2, pv1);
 925     D3DXVec3Subtract(&edge2, pv3, pv1);
 926     D3DXVec3Cross(&normal, &edge1, &edge2);
 927     D3DXVec3Normalize(&Nnormal, &normal);
 928     D3DXPlaneFromPointNormal(pout, pv1, &Nnormal);
 929     return pout;
 930 }
 931
 932 D3DXVECTOR3* WINAPI D3DXPlaneIntersectLine(D3DXVECTOR3 *pout, CONST D3DXPLANE *pp, CONST D3DXVECTOR3 *pv1, CONST D3DXVECTOR3 *pv2)
 933 {
 934     D3DXVECTOR3 direction, normal;
 935     FLOAT dot, temp;
 936
 937     normal.x = pp->a;
 938     normal.y = pp->b;
 939     normal.z = pp->c;
 940     direction.x = pv2->x - pv1->x;
 941     direction.y = pv2->y - pv1->y;
 942     direction.z = pv2->z - pv1->z;
 943     dot = D3DXVec3Dot(&normal, &direction);
 944     if ( !dot ) return NULL;
 945     temp = ( pp->d + D3DXVec3Dot(&normal, pv1) ) / dot;
 946     pout->x = pv1->x - temp * direction.x;
 947     pout->y = pv1->y - temp * direction.y;
 948     pout->z = pv1->z - temp * direction.z;
 949     return pout;
 950 }
 951
 952 D3DXPLANE* WINAPI D3DXPlaneNormalize(D3DXPLANE *pout, CONST D3DXPLANE *pp)
 953 {
 954     D3DXPLANE out;
 955     FLOAT norm;
 956
 957     norm = sqrt(pp->a * pp->a + pp->b * pp->b + pp->c * pp->c);
 958     if ( norm )
 959     {
 960      out.a = pp->a / norm;
 961      out.b = pp->b / norm;
 962      out.c = pp->c / norm;
 963      out.d = pp->d / norm;
 964     }
 965     else
 966     {
 967      out.a = 0.0f;
 968      out.b = 0.0f;
 969      out.c = 0.0f;
 970      out.d = 0.0f;
 971     }
 972     *pout = out;
 973     return pout;
 974 }
 975
 976 D3DXPLANE* WINAPI D3DXPlaneTransform(D3DXPLANE *pout, CONST D3DXPLANE *pplane, CONST D3DXMATRIX *pm)
 977 {
 978     CONST D3DXPLANE plane = *pplane;
 979     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;
 980     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;
 981     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;
 982     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;
 983     return pout;
 984 }
 985
 986 /*_________________D3DXQUATERNION________________*/
 987
 988 D3DXQUATERNION* WINAPI D3DXQuaternionBaryCentric(D3DXQUATERNION *pout, CONST D3DXQUATERNION *pq1, CONST D3DXQUATERNION *pq2, CONST D3DXQUATERNION *pq3, FLOAT f, FLOAT g)
 989 {
 990     D3DXQUATERNION temp1, temp2;
 991     D3DXQuaternionSlerp(pout, D3DXQuaternionSlerp(&temp1, pq1, pq2, f + g), D3DXQuaternionSlerp(&temp2, pq1, pq3, f+g), g / (f + g));
 992     return pout;
 993 }
 994
 995 D3DXQUATERNION* WINAPI D3DXQuaternionExp(D3DXQUATERNION *pout, CONST D3DXQUATERNION *pq)
 996 {
 997     FLOAT norm;
 998
 999     norm = sqrt(pq->x * pq->x + pq->y * pq->y + pq->z * pq->z);
1000     if (norm )
1001     {
1002      pout->x = sin(norm) * pq->x / norm;
1003      pout->y = sin(norm) * pq->y / norm;
1004      pout->z = sin(norm) * pq->z / norm;
1005      pout->w = cos(norm);
1006     }
1007     else
1008     {
1009      pout->x = 0.0f;
1010      pout->y = 0.0f;
1011      pout->z = 0.0f;
1012      pout->w = 1.0f;
1013     }
1014     return pout;
1015 }
1016
1017 D3DXQUATERNION* WINAPI D3DXQuaternionInverse(D3DXQUATERNION *pout, CONST D3DXQUATERNION *pq)
1018 {
1019     FLOAT norm;
1020
1021     norm = D3DXQuaternionLengthSq(pq);
1022     if ( !norm )
1023     {
1024      pout->x = 0.0f;
1025      pout->y = 0.0f;
1026      pout->z = 0.0f;
1027      pout->w = 0.0f;
1028     }
1029     else
1030     {
1031      pout->x = -pq->x / norm;
1032      pout->y = -pq->y / norm;
1033      pout->z = -pq->z / norm;
1034      pout->w = pq->w / norm;
1035     }
1036     return pout;
1037 }
1038
1039 D3DXQUATERNION* WINAPI D3DXQuaternionLn(D3DXQUATERNION *pout, CONST D3DXQUATERNION *pq)
1040 {
1041     FLOAT norm, normvec, theta;
1042
1043     norm = D3DXQuaternionLengthSq(pq);
1044     if ( norm > 1.0001f )
1045     {
1046      pout->x = pq->x;
1047      pout->y = pq->y;
1048      pout->z = pq->z;
1049      pout->w = 0.0f;
1050     }
1051     else if( norm > 0.99999f)
1052     {
1053      normvec = sqrt( pq->x * pq->x + pq->y * pq->y + pq->z * pq->z );
1054      theta = atan2(normvec, pq->w) / normvec;
1055      pout->x = theta * pq->x;
1056      pout->y = theta * pq->y;
1057      pout->z = theta * pq->z;
1058      pout->w = 0.0f;
1059     }
1060     else
1061     {
1062      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);
1063     }
1064     return pout;
1065 }
1066
1067 D3DXQUATERNION* WINAPI D3DXQuaternionMultiply(D3DXQUATERNION *pout, CONST D3DXQUATERNION *pq1, CONST D3DXQUATERNION *pq2)
1068 {
1069     D3DXQUATERNION out;
1070     out.x = pq2->w * pq1->x + pq2->x * pq1->w + pq2->y * pq1->z - pq2->z * pq1->y;
1071     out.y = pq2->w * pq1->y - pq2->x * pq1->z + pq2->y * pq1->w + pq2->z * pq1->x;
1072     out.z = pq2->w * pq1->z + pq2->x * pq1->y - pq2->y * pq1->x + pq2->z * pq1->w;
1073     out.w = pq2->w * pq1->w - pq2->x * pq1->x - pq2->y * pq1->y - pq2->z * pq1->z;
1074     *pout = out;
1075     return pout;
1076 }
1077
1078 D3DXQUATERNION* WINAPI D3DXQuaternionNormalize(D3DXQUATERNION *pout, CONST D3DXQUATERNION *pq)
1079 {
1080     D3DXQUATERNION out;
1081     FLOAT norm;
1082
1083     norm = D3DXQuaternionLength(pq);
1084     if ( !norm )
1085     {
1086      out.x = 0.0f;
1087      out.y = 0.0f;
1088      out.z = 0.0f;
1089      out.w = 0.0f;
1090     }
1091     else
1092     {
1093      out.x = pq->x / norm;
1094      out.y = pq->y / norm;
1095      out.z = pq->z / norm;
1096      out.w = pq->w / norm;
1097     }
1098     *pout=out;
1099     return pout;
1100 }
1101
1102 D3DXQUATERNION* WINAPI D3DXQuaternionRotationAxis(D3DXQUATERNION *pout, CONST D3DXVECTOR3 *pv, FLOAT angle)
1103 {
1104     D3DXVECTOR3 temp;
1105
1106     D3DXVec3Normalize(&temp, pv);
1107     pout->x = sin( angle / 2.0f ) * temp.x;
1108     pout->y = sin( angle / 2.0f ) * temp.y;
1109     pout->z = sin( angle / 2.0f ) * temp.z;
1110     pout->w = cos( angle / 2.0f );
1111     return pout;
1112 }
1113
1114 D3DXQUATERNION* WINAPI D3DXQuaternionRotationMatrix(D3DXQUATERNION *pout, CONST D3DXMATRIX *pm)
1115 {
1116     int i, maxi;
1117     FLOAT maxdiag, S, trace;
1118
1119     trace = pm->u.m[0][0] + pm->u.m[1][1] + pm->u.m[2][2] + 1.0f;
1120     if ( trace > 1.0f)
1121     {
1122      pout->x = ( pm->u.m[1][2] - pm->u.m[2][1] ) / ( 2.0f * sqrt(trace) );
1123      pout->y = ( pm->u.m[2][0] - pm->u.m[0][2] ) / ( 2.0f * sqrt(trace) );
1124      pout->z = ( pm->u.m[0][1] - pm->u.m[1][0] ) / ( 2.0f * sqrt(trace) );
1125      pout->w = sqrt(trace) / 2.0f;
1126      return pout;
1127      }
1128     maxi = 0;
1129     maxdiag = pm->u.m[0][0];
1130     for (i=1; i<3; i++)
1131     {
1132      if ( pm->u.m[i][i] > maxdiag )
1133      {
1134       maxi = i;
1135       maxdiag = pm->u.m[i][i];
1136      }
1137     }
1138     switch( maxi )
1139     {
1140      case 0:
1141        S = 2.0f * sqrt(1.0f + pm->u.m[0][0] - pm->u.m[1][1] - pm->u.m[2][2]);
1142        pout->x = 0.25f * S;
1143        pout->y = ( pm->u.m[0][1] + pm->u.m[1][0] ) / S;
1144        pout->z = ( pm->u.m[0][2] + pm->u.m[2][0] ) / S;
1145        pout->w = ( pm->u.m[1][2] - pm->u.m[2][1] ) / S;
1146      break;
1147      case 1:
1148        S = 2.0f * sqrt(1.0f + pm->u.m[1][1] - pm->u.m[0][0] - pm->u.m[2][2]);
1149        pout->x = ( pm->u.m[0][1] + pm->u.m[1][0] ) / S;
1150        pout->y = 0.25f * S;
1151        pout->z = ( pm->u.m[1][2] + pm->u.m[2][1] ) / S;
1152        pout->w = ( pm->u.m[2][0] - pm->u.m[0][2] ) / S;
1153      break;
1154      case 2:
1155        S = 2.0f * sqrt(1.0f + pm->u.m[2][2] - pm->u.m[0][0] - pm->u.m[1][1]);
1156        pout->x = ( pm->u.m[0][2] + pm->u.m[2][0] ) / S;
1157        pout->y = ( pm->u.m[1][2] + pm->u.m[2][1] ) / S;
1158        pout->z = 0.25f * S;
1159        pout->w = ( pm->u.m[0][1] - pm->u.m[1][0] ) / S;
1160      break;
1161     }
1162     return pout;
1163 }
1164
1165 D3DXQUATERNION* WINAPI D3DXQuaternionRotationYawPitchRoll(D3DXQUATERNION *pout, FLOAT yaw, FLOAT pitch, FLOAT roll)
1166 {
1167     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);
1168     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);
1169     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);
1170     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);
1171     return pout;
1172 }
1173
1174 D3DXQUATERNION* WINAPI D3DXQuaternionSlerp(D3DXQUATERNION *pout, CONST D3DXQUATERNION *pq1, CONST D3DXQUATERNION *pq2, FLOAT t)
1175 {
1176     FLOAT dot, epsilon, temp, theta, u;
1177
1178     epsilon = 1.0f;
1179     temp = 1.0f - t;
1180     u = t;
1181     dot = D3DXQuaternionDot(pq1, pq2);
1182     if ( dot < 0.0f )
1183     {
1184         epsilon = -1.0f;
1185         dot = -dot;
1186     }
1187     if( 1.0f - dot > 0.001f )
1188     {
1189         theta = acos(dot);
1190         temp  = sin(theta * temp) / sin(theta);
1191         u = sin(theta * u) / sin(theta);
1192     }
1193     pout->x = temp * pq1->x + epsilon * u * pq2->x;
1194     pout->y = temp * pq1->y + epsilon * u * pq2->y;
1195     pout->z = temp * pq1->z + epsilon * u * pq2->z;
1196     pout->w = temp * pq1->w + epsilon * u * pq2->w;
1197     return pout;
1198 }
1199
1200 D3DXQUATERNION* WINAPI D3DXQuaternionSquad(D3DXQUATERNION *pout, CONST D3DXQUATERNION *pq1, CONST D3DXQUATERNION *pq2, CONST D3DXQUATERNION *pq3, CONST D3DXQUATERNION *pq4, FLOAT t)
1201 {
1202     D3DXQUATERNION temp1, temp2;
1203
1204     D3DXQuaternionSlerp(pout, D3DXQuaternionSlerp(&temp1, pq1, pq4, t), D3DXQuaternionSlerp(&temp2, pq2, pq3, t), 2.0f * t * (1.0f - t));
1205     return pout;
1206 }
1207
1208 void WINAPI D3DXQuaternionToAxisAngle(CONST D3DXQUATERNION *pq, D3DXVECTOR3 *paxis, FLOAT *pangle)
1209 {
1210     FLOAT norm;
1211
1212     *pangle = 0.0f;
1213     norm = D3DXQuaternionLength(pq);
1214     if ( norm )
1215     {
1216      paxis->x = pq->x / norm;
1217      paxis->y = pq->y / norm;
1218      paxis->z = pq->z / norm;
1219      if ( fabs( pq->w ) <= 1.0f ) *pangle = 2.0f * acos(pq->w);
1220     }
1221     else
1222     {
1223      paxis->x = 1.0f;
1224      paxis->y = 0.0f;
1225      paxis->z = 0.0f;
1226     }
1227 }
1228
1229 /*_________________D3DXVec2_____________________*/
1230
1231 D3DXVECTOR2* WINAPI D3DXVec2BaryCentric(D3DXVECTOR2 *pout, CONST D3DXVECTOR2 *pv1, CONST D3DXVECTOR2 *pv2, CONST D3DXVECTOR2 *pv3, FLOAT f, FLOAT g)
1232 {
1233     pout->x = (1.0f-f-g) * (pv1->x) + f * (pv2->x) + g * (pv3->x);
1234     pout->y = (1.0f-f-g) * (pv1->y) + f * (pv2->y) + g * (pv3->y);
1235     return pout;
1236 }
1237
1238 D3DXVECTOR2* WINAPI D3DXVec2CatmullRom(D3DXVECTOR2 *pout, CONST D3DXVECTOR2 *pv0, CONST D3DXVECTOR2 *pv1, CONST D3DXVECTOR2 *pv2, CONST D3DXVECTOR2 *pv3, FLOAT s)
1239 {
1240     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);
1241     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);
1242     return pout;
1243 }
1244
1245 D3DXVECTOR2* WINAPI D3DXVec2Hermite(D3DXVECTOR2 *pout, CONST D3DXVECTOR2 *pv1, CONST D3DXVECTOR2 *pt1, CONST D3DXVECTOR2 *pv2, CONST D3DXVECTOR2 *pt2, FLOAT s)
1246 {
1247     FLOAT h1, h2, h3, h4;
1248
1249     h1 = 2.0f * s * s * s - 3.0f * s * s + 1.0f;
1250     h2 = s * s * s - 2.0f * s * s + s;
1251     h3 = -2.0f * s * s * s + 3.0f * s * s;
1252     h4 = s * s * s - s * s;
1253
1254     pout->x = h1 * (pv1->x) + h2 * (pt1->x) + h3 * (pv2->x) + h4 * (pt2->x);
1255     pout->y = h1 * (pv1->y) + h2 * (pt1->y) + h3 * (pv2->y) + h4 * (pt2->y);
1256     return pout;
1257 }
1258
1259 D3DXVECTOR2* WINAPI D3DXVec2Normalize(D3DXVECTOR2 *pout, CONST D3DXVECTOR2 *pv)
1260 {
1261     D3DXVECTOR2 out;
1262     FLOAT norm;
1263
1264     norm = D3DXVec2Length(pv);
1265     if ( !norm )
1266     {
1267      out.x = 0.0f;
1268      out.y = 0.0f;
1269     }
1270     else
1271     {
1272      out.x = pv->x / norm;
1273      out.y = pv->y / norm;
1274     }
1275     *pout=out;
1276     return pout;
1277 }
1278
1279 D3DXVECTOR4* WINAPI D3DXVec2Transform(D3DXVECTOR4 *pout, CONST D3DXVECTOR2 *pv, CONST D3DXMATRIX *pm)
1280 {
1281     pout->x = pm->u.m[0][0] * pv->x + pm->u.m[1][0] * pv->y  + pm->u.m[3][0];
1282     pout->y = pm->u.m[0][1] * pv->x + pm->u.m[1][1] * pv->y  + pm->u.m[3][1];
1283     pout->z = pm->u.m[0][2] * pv->x + pm->u.m[1][2] * pv->y  + pm->u.m[3][2];
1284     pout->w = pm->u.m[0][3] * pv->x + pm->u.m[1][3] * pv->y  + pm->u.m[3][3];
1285     return pout;
1286 }
1287
1288 D3DXVECTOR2* WINAPI D3DXVec2TransformCoord(D3DXVECTOR2 *pout, CONST D3DXVECTOR2 *pv, CONST D3DXMATRIX *pm)
1289 {
1290     FLOAT norm;
1291
1292     norm = pm->u.m[0][3] * pv->x + pm->u.m[1][3] * pv->y + pm->u.m[3][3];
1293     if ( norm )
1294     {
1295      CONST D3DXVECTOR2 v = *pv;
1296      pout->x = (pm->u.m[0][0] * v.x + pm->u.m[1][0] * v.y + pm->u.m[3][0]) / norm;
1297      pout->y = (pm->u.m[0][1] * v.x + pm->u.m[1][1] * v.y + pm->u.m[3][1]) / norm;
1298     }
1299     else
1300     {
1301      pout->x = 0.0f;
1302      pout->y = 0.0f;
1303     }
1304     return pout;
1305 }
1306
1307 D3DXVECTOR2* WINAPI D3DXVec2TransformNormal(D3DXVECTOR2 *pout, CONST D3DXVECTOR2 *pv, CONST D3DXMATRIX *pm)
1308 {
1309     CONST D3DXVECTOR2 v = *pv;
1310     pout->x = pm->u.m[0][0] * v.x + pm->u.m[1][0] * v.y;
1311     pout->y = pm->u.m[0][1] * v.x + pm->u.m[1][1] * v.y;
1312     return pout;
1313 }
1314
1315 /*_________________D3DXVec3_____________________*/
1316
1317 D3DXVECTOR3* WINAPI D3DXVec3BaryCentric(D3DXVECTOR3 *pout, CONST D3DXVECTOR3 *pv1, CONST D3DXVECTOR3 *pv2, CONST D3DXVECTOR3 *pv3, FLOAT f, FLOAT g)
1318 {
1319     pout->x = (1.0f-f-g) * (pv1->x) + f * (pv2->x) + g * (pv3->x);
1320     pout->y = (1.0f-f-g) * (pv1->y) + f * (pv2->y) + g * (pv3->y);
1321     pout->z = (1.0f-f-g) * (pv1->z) + f * (pv2->z) + g * (pv3->z);
1322     return pout;
1323 }
1324
1325 D3DXVECTOR3* WINAPI D3DXVec3CatmullRom( D3DXVECTOR3 *pout, CONST D3DXVECTOR3 *pv0, CONST D3DXVECTOR3 *pv1, CONST D3DXVECTOR3 *pv2, CONST D3DXVECTOR3 *pv3, FLOAT s)
1326 {
1327     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);
1328     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);
1329     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);
1330     return pout;
1331 }
1332
1333 D3DXVECTOR3* WINAPI D3DXVec3Hermite(D3DXVECTOR3 *pout, CONST D3DXVECTOR3 *pv1, CONST D3DXVECTOR3 *pt1, CONST D3DXVECTOR3 *pv2, CONST D3DXVECTOR3 *pt2, FLOAT s)
1334 {
1335     FLOAT h1, h2, h3, h4;
1336
1337     h1 = 2.0f * s * s * s - 3.0f * s * s + 1.0f;
1338     h2 = s * s * s - 2.0f * s * s + s;
1339     h3 = -2.0f * s * s * s + 3.0f * s * s;
1340     h4 = s * s * s - s * s;
1341
1342     pout->x = h1 * (pv1->x) + h2 * (pt1->x) + h3 * (pv2->x) + h4 * (pt2->x);
1343     pout->y = h1 * (pv1->y) + h2 * (pt1->y) + h3 * (pv2->y) + h4 * (pt2->y);
1344     pout->z = h1 * (pv1->z) + h2 * (pt1->z) + h3 * (pv2->z) + h4 * (pt2->z);
1345     return pout;
1346 }
1347
1348 D3DXVECTOR3* WINAPI D3DXVec3Normalize(D3DXVECTOR3 *pout, CONST D3DXVECTOR3 *pv)
1349 {
1350     D3DXVECTOR3 out;
1351     FLOAT norm;
1352
1353     norm = D3DXVec3Length(pv);
1354     if ( !norm )
1355     {
1356      out.x = 0.0f;
1357      out.y = 0.0f;
1358      out.z = 0.0f;
1359     }
1360     else
1361     {
1362      out.x = pv->x / norm;
1363      out.y = pv->y / norm;
1364      out.z = pv->z / norm;
1365     }
1366     *pout = out;
1367     return pout;
1368 }
1369
1370 D3DXVECTOR3* WINAPI D3DXVec3Project(D3DXVECTOR3 *pout, CONST D3DXVECTOR3 *pv, CONST D3DVIEWPORT8 *pviewport, CONST D3DXMATRIX *pprojection, CONST D3DXMATRIX *pview, CONST D3DXMATRIX *pworld)
1371 {
1372     D3DXMATRIX m;
1373     D3DXVECTOR3 out;
1374
1375     D3DXMatrixMultiply(&m, pworld, pview);
1376     D3DXMatrixMultiply(&m, &m, pprojection);
1377     D3DXVec3TransformCoord(&out, pv, &m);
1378     out.x = pviewport->X +  ( 1.0f + out.x ) * pviewport->Width / 2.0f;
1379     out.y = pviewport->Y +  ( 1.0f - out.y ) * pviewport->Height / 2.0f;
1380     out.z = pviewport->MinZ + out.z * ( pviewport->MaxZ - pviewport->MinZ );
1381     *pout = out;
1382     return pout;
1383 }
1384
1385 D3DXVECTOR4* WINAPI D3DXVec3Transform(D3DXVECTOR4 *pout, CONST D3DXVECTOR3 *pv, CONST D3DXMATRIX *pm)
1386 {
1387     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];
1388     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];
1389     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];
1390     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];
1391     return pout;
1392 }
1393
1394 D3DXVECTOR3* WINAPI D3DXVec3TransformCoord(D3DXVECTOR3 *pout, CONST D3DXVECTOR3 *pv, CONST D3DXMATRIX *pm)
1395 {
1396     D3DXVECTOR3 out;
1397     FLOAT norm;
1398
1399     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];
1400
1401     if ( norm )
1402     {
1403      CONST D3DXVECTOR3 v = *pv;
1404      out.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;
1405      out.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;
1406      out.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;
1407     }
1408     else
1409     {
1410      out.x = 0.0f;
1411      out.y = 0.0f;
1412      out.z = 0.0f;
1413     }
1414     *pout = out;
1415     return pout;
1416 }
1417
1418 D3DXVECTOR3* WINAPI D3DXVec3TransformNormal(D3DXVECTOR3 *pout, CONST D3DXVECTOR3 *pv, CONST D3DXMATRIX *pm)
1419 {
1420     CONST D3DXVECTOR3 v = *pv;
1421     pout->x = pm->u.m[0][0] * v.x + pm->u.m[1][0] * v.y + pm->u.m[2][0] * v.z;
1422     pout->y = pm->u.m[0][1] * v.x + pm->u.m[1][1] * v.y + pm->u.m[2][1] * v.z;
1423     pout->z = pm->u.m[0][2] * v.x + pm->u.m[1][2] * v.y + pm->u.m[2][2] * v.z;
1424     return pout;
1425
1426 }
1427
1428 D3DXVECTOR3* WINAPI D3DXVec3Unproject(D3DXVECTOR3 *pout, CONST D3DXVECTOR3 *pv, CONST D3DVIEWPORT8 *pviewport, CONST D3DXMATRIX *pprojection, CONST D3DXMATRIX *pview, CONST D3DXMATRIX *pworld)
1429 {
1430     D3DXMATRIX m;
1431     D3DXVECTOR3 out;
1432
1433     D3DXMatrixMultiply(&m, pworld, pview);
1434     D3DXMatrixMultiply(&m, &m, pprojection);
1435     D3DXMatrixInverse(&m, NULL, &m);
1436     out.x = 2.0f * ( pv->x - pviewport->X ) / pviewport->Width - 1.0f;
1437     out.y = 1.0f - 2.0f * ( pv->y - pviewport->Y ) / pviewport->Height;
1438     out.z = ( pv->z - pviewport->MinZ) / ( pviewport->MaxZ - pviewport->MinZ );
1439     D3DXVec3TransformCoord(&out, &out, &m);
1440     *pout = out;
1441     return pout;
1442 }
1443
1444 /*_________________D3DXVec4_____________________*/
1445
1446 D3DXVECTOR4* WINAPI D3DXVec4BaryCentric(D3DXVECTOR4 *pout, CONST D3DXVECTOR4 *pv1, CONST D3DXVECTOR4 *pv2, CONST D3DXVECTOR4 *pv3, FLOAT f, FLOAT g)
1447 {
1448     pout->x = (1.0f-f-g) * (pv1->x) + f * (pv2->x) + g * (pv3->x);
1449     pout->y = (1.0f-f-g) * (pv1->y) + f * (pv2->y) + g * (pv3->y);
1450     pout->z = (1.0f-f-g) * (pv1->z) + f * (pv2->z) + g * (pv3->z);
1451     pout->w = (1.0f-f-g) * (pv1->w) + f * (pv2->w) + g * (pv3->w);
1452     return pout;
1453 }
1454
1455 D3DXVECTOR4* WINAPI D3DXVec4CatmullRom(D3DXVECTOR4 *pout, CONST D3DXVECTOR4 *pv0, CONST D3DXVECTOR4 *pv1, CONST D3DXVECTOR4 *pv2, CONST D3DXVECTOR4 *pv3, FLOAT s)
1456 {
1457     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);
1458     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);
1459     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);
1460     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);
1461     return pout;
1462 }
1463
1464 D3DXVECTOR4* WINAPI D3DXVec4Cross(D3DXVECTOR4 *pout, CONST D3DXVECTOR4 *pv1, CONST D3DXVECTOR4 *pv2, CONST D3DXVECTOR4 *pv3)
1465 {
1466     D3DXVECTOR4 out;
1467     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);
1468     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));
1469     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);
1470     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));
1471     *pout = out;
1472     return pout;
1473 }
1474
1475 D3DXVECTOR4* WINAPI D3DXVec4Hermite(D3DXVECTOR4 *pout, CONST D3DXVECTOR4 *pv1, CONST D3DXVECTOR4 *pt1, CONST D3DXVECTOR4 *pv2, CONST D3DXVECTOR4 *pt2, FLOAT s)
1476 {
1477     FLOAT h1, h2, h3, h4;
1478
1479     h1 = 2.0f * s * s * s - 3.0f * s * s + 1.0f;
1480     h2 = s * s * s - 2.0f * s * s + s;
1481     h3 = -2.0f * s * s * s + 3.0f * s * s;
1482     h4 = s * s * s - s * s;
1483
1484     pout->x = h1 * (pv1->x) + h2 * (pt1->x) + h3 * (pv2->x) + h4 * (pt2->x);
1485     pout->y = h1 * (pv1->y) + h2 * (pt1->y) + h3 * (pv2->y) + h4 * (pt2->y);
1486     pout->z = h1 * (pv1->z) + h2 * (pt1->z) + h3 * (pv2->z) + h4 * (pt2->z);
1487     pout->w = h1 * (pv1->w) + h2 * (pt1->w) + h3 * (pv2->w) + h4 * (pt2->w);
1488     return pout;
1489 }
1490
1491 D3DXVECTOR4* WINAPI D3DXVec4Normalize(D3DXVECTOR4 *pout, CONST D3DXVECTOR4 *pv)
1492 {
1493     D3DXVECTOR4 out;
1494     FLOAT norm;
1495
1496     norm = D3DXVec4Length(pv);
1497     if ( !norm )
1498     {
1499      out.x = 0.0f;
1500      out.y = 0.0f;
1501      out.z = 0.0f;
1502      out.w = 0.0f;
1503     }
1504     else
1505     {
1506      out.x = pv->x / norm;
1507      out.y = pv->y / norm;
1508      out.z = pv->z / norm;
1509      out.w = pv->w / norm;
1510     }
1511     *pout = out;
1512     return pout;
1513 }
1514
1515 D3DXVECTOR4* WINAPI D3DXVec4Transform(D3DXVECTOR4 *pout, CONST D3DXVECTOR4 *pv, CONST D3DXMATRIX *pm)
1516 {
1517     D3DXVECTOR4 out;
1518     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;
1519     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;
1520     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;
1521     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;
1522     *pout = out;
1523     return pout;
1524 }