dlls/d3dx9_36/math.c

   1 /*
   2  * Mathematical operations specific to D3DX9.
   3  *
   4  * Copyright (C) 2008 David Adam
   5  * Copyright (C) 2008 Luis Busquets
   6  * Copyright (C) 2008 Jérôme Gardou
   7  * Copyright (C) 2008 Philip Nilsson
   8  * Copyright (C) 2008 Henri Verbeet
   9  *
  10  * This library is free software; you can redistribute it and/or
  11  * modify it under the terms of the GNU Lesser General Public
  12  * License as published by the Free Software Foundation; either
  13  * version 2.1 of the License, or (at your option) any later version.
  14  *
  15  * This library is distributed in the hope that it will be useful,
  16  * but WITHOUT ANY WARRANTY; without even the implied warranty of
  17  * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
  18  * Lesser General Public License for more details.
  19  *
  20  * You should have received a copy of the GNU Lesser General Public
  21  * License along with this library; if not, write to the Free Software
  22  * Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301, USA
  23  */
  24
  25 #define NONAMELESSUNION
  26
  27 #include "config.h"
  28 #include "wine/port.h"
  29
  30 #include "windef.h"
  31 #include "wingdi.h"
  32 #include "d3dx9_36_private.h"
  33
  34 #include "wine/debug.h"
  35
  36 WINE_DEFAULT_DEBUG_CHANNEL(d3dx);
  37
  38 static const ID3DXMatrixStackVtbl ID3DXMatrixStack_Vtbl;
  39
  40 typedef struct ID3DXMatrixStackImpl
  41 {
  42   ID3DXMatrixStack ID3DXMatrixStack_iface;
  43   LONG ref;
  44
  45   unsigned int current;
  46   unsigned int stack_size;
  47   D3DXMATRIX *stack;
  48 } ID3DXMatrixStackImpl;
  49
  50
  51 /*_________________D3DXColor____________________*/
  52
  53 D3DXCOLOR* WINAPI D3DXColorAdjustContrast(D3DXCOLOR *pout, CONST D3DXCOLOR *pc, FLOAT s)
  54 {
  55     pout->r = 0.5f + s * (pc->r - 0.5f);
  56     pout->g = 0.5f + s * (pc->g - 0.5f);
  57     pout->b = 0.5f + s * (pc->b - 0.5f);
  58     pout->a = pc->a;
  59     return pout;
  60 }
  61
  62 D3DXCOLOR* WINAPI D3DXColorAdjustSaturation(D3DXCOLOR *pout, CONST D3DXCOLOR *pc, FLOAT s)
  63 {
  64     FLOAT grey;
  65
  66     grey = pc->r * 0.2125f + pc->g * 0.7154f + pc->b * 0.0721f;
  67     pout->r = grey + s * (pc->r - grey);
  68     pout->g = grey + s * (pc->g - grey);
  69     pout->b = grey + s * (pc->b - grey);
  70     pout->a = pc->a;
  71     return pout;
  72 }
  73
  74 /*_________________Misc__________________________*/
  75
  76 FLOAT WINAPI D3DXFresnelTerm(FLOAT costheta, FLOAT refractionindex)
  77 {
  78     FLOAT a, d, g, result;
  79
  80     g = sqrt(refractionindex * refractionindex + costheta * costheta - 1.0f);
  81     a = g + costheta;
  82     d = g - costheta;
  83     result = ( costheta * a - 1.0f ) * ( costheta * a - 1.0f ) / ( ( costheta * d + 1.0f ) * ( costheta * d + 1.0f ) ) + 1.0f;
  84     result = result * 0.5f * d * d / ( a * a );
  85     return result;
  86 }
  87
  88 /*_________________D3DXMatrix____________________*/
  89
  90 D3DXMATRIX* WINAPI D3DXMatrixAffineTransformation(D3DXMATRIX *pout, FLOAT scaling, CONST D3DXVECTOR3 *rotationcenter, CONST D3DXQUATERNION *rotation, CONST D3DXVECTOR3 *translation)
  91 {
  92     D3DXMATRIX m1, m2, m3, m4, m5;
  93
  94     D3DXMatrixScaling(&m1, scaling, scaling, scaling);
  95
  96     if ( !rotationcenter )
  97     {
  98         D3DXMatrixIdentity(&m2);
  99         D3DXMatrixIdentity(&m4);
 100     }
 101     else
 102     {
 103         D3DXMatrixTranslation(&m2, -rotationcenter->x, -rotationcenter->y, -rotationcenter->z);
 104         D3DXMatrixTranslation(&m4, rotationcenter->x, rotationcenter->y, rotationcenter->z);
 105     }
 106
 107     if ( !rotation ) D3DXMatrixIdentity(&m3);
 108     else D3DXMatrixRotationQuaternion(&m3, rotation);
 109
 110     if ( !translation ) D3DXMatrixIdentity(&m5);
 111     else D3DXMatrixTranslation(&m5, translation->x, translation->y, translation->z);
 112
 113     D3DXMatrixMultiply(&m1, &m1, &m2);
 114     D3DXMatrixMultiply(&m1, &m1, &m3);
 115     D3DXMatrixMultiply(&m1, &m1, &m4);
 116     D3DXMatrixMultiply(pout, &m1, &m5);
 117     return pout;
 118 }
 119
 120 D3DXMATRIX* WINAPI D3DXMatrixAffineTransformation2D(D3DXMATRIX *pout, FLOAT scaling, CONST D3DXVECTOR2 *protationcenter, FLOAT rotation, CONST D3DXVECTOR2 *ptranslation)
 121 {
 122     D3DXMATRIX m1, m2, m3, m4, m5;
 123     D3DXQUATERNION rot;
 124     D3DXVECTOR3 rot_center, trans;
 125
 126     rot.w=cos(rotation/2.0f);
 127     rot.x=0.0f;
 128     rot.y=0.0f;
 129     rot.z=sin(rotation/2.0f);
 130
 131     if ( protationcenter )
 132     {
 133         rot_center.x=protationcenter->x;
 134         rot_center.y=protationcenter->y;
 135         rot_center.z=0.0f;
 136     }
 137     else
 138     {
 139         rot_center.x=0.0f;
 140         rot_center.y=0.0f;
 141         rot_center.z=0.0f;
 142     }
 143
 144     if ( ptranslation )
 145     {
 146         trans.x=ptranslation->x;
 147         trans.y=ptranslation->y;
 148         trans.z=0.0f;
 149     }
 150     else
 151     {
 152         trans.x=0.0f;
 153         trans.y=0.0f;
 154         trans.z=0.0f;
 155     }
 156
 157     D3DXMatrixScaling(&m1, scaling, scaling, 1.0f);
 158     D3DXMatrixTranslation(&m2, -rot_center.x, -rot_center.y, -rot_center.z);
 159     D3DXMatrixTranslation(&m4, rot_center.x, rot_center.y, rot_center.z);
 160     D3DXMatrixRotationQuaternion(&m3, &rot);
 161     D3DXMatrixTranslation(&m5, trans.x, trans.y, trans.z);
 162
 163     D3DXMatrixMultiply(&m1, &m1, &m2);
 164     D3DXMatrixMultiply(&m1, &m1, &m3);
 165     D3DXMatrixMultiply(&m1, &m1, &m4);
 166     D3DXMatrixMultiply(pout, &m1, &m5);
 167
 168     return pout;
 169 }
 170
 171 HRESULT WINAPI D3DXMatrixDecompose(D3DXVECTOR3 *poutscale, D3DXQUATERNION *poutrotation, D3DXVECTOR3 *pouttranslation, CONST D3DXMATRIX *pm)
 172 {
 173     D3DXMATRIX normalized;
 174     D3DXVECTOR3 vec;
 175
 176     /*Compute the scaling part.*/
 177     vec.x=pm->u.m[0][0];
 178     vec.y=pm->u.m[0][1];
 179     vec.z=pm->u.m[0][2];
 180     poutscale->x=D3DXVec3Length(&vec);
 181
 182     vec.x=pm->u.m[1][0];
 183     vec.y=pm->u.m[1][1];
 184     vec.z=pm->u.m[1][2];
 185     poutscale->y=D3DXVec3Length(&vec);
 186
 187     vec.x=pm->u.m[2][0];
 188     vec.y=pm->u.m[2][1];
 189     vec.z=pm->u.m[2][2];
 190     poutscale->z=D3DXVec3Length(&vec);
 191
 192     /*Compute the translation part.*/
 193     pouttranslation->x=pm->u.m[3][0];
 194     pouttranslation->y=pm->u.m[3][1];
 195     pouttranslation->z=pm->u.m[3][2];
 196
 197     /*Let's calculate the rotation now*/
 198     if ( (poutscale->x == 0.0f) || (poutscale->y == 0.0f) || (poutscale->z == 0.0f) ) return D3DERR_INVALIDCALL;
 199
 200     normalized.u.m[0][0]=pm->u.m[0][0]/poutscale->x;
 201     normalized.u.m[0][1]=pm->u.m[0][1]/poutscale->x;
 202     normalized.u.m[0][2]=pm->u.m[0][2]/poutscale->x;
 203     normalized.u.m[1][0]=pm->u.m[1][0]/poutscale->y;
 204     normalized.u.m[1][1]=pm->u.m[1][1]/poutscale->y;
 205     normalized.u.m[1][2]=pm->u.m[1][2]/poutscale->y;
 206     normalized.u.m[2][0]=pm->u.m[2][0]/poutscale->z;
 207     normalized.u.m[2][1]=pm->u.m[2][1]/poutscale->z;
 208     normalized.u.m[2][2]=pm->u.m[2][2]/poutscale->z;
 209
 210     D3DXQuaternionRotationMatrix(poutrotation,&normalized);
 211     return S_OK;
 212 }
 213
 214 FLOAT WINAPI D3DXMatrixDeterminant(CONST D3DXMATRIX *pm)
 215 {
 216     D3DXVECTOR4 minor, v1, v2, v3;
 217     FLOAT det;
 218
 219     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];
 220     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];
 221     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];
 222     D3DXVec4Cross(&minor, &v1, &v2, &v3);
 223     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);
 224     return det;
 225 }
 226
 227 D3DXMATRIX* WINAPI D3DXMatrixInverse(D3DXMATRIX *pout, FLOAT *pdeterminant, CONST D3DXMATRIX *pm)
 228 {
 229     int a, i, j;
 230     D3DXMATRIX out;
 231     D3DXVECTOR4 v, vec[3];
 232     FLOAT det;
 233
 234     det = D3DXMatrixDeterminant(pm);
 235     if ( !det ) return NULL;
 236     if ( pdeterminant ) *pdeterminant = det;
 237     for (i=0; i<4; i++)
 238     {
 239         for (j=0; j<4; j++)
 240         {
 241             if (j != i )
 242             {
 243                 a = j;
 244                 if ( j > i ) a = a-1;
 245                 vec[a].x = pm->u.m[j][0];
 246                 vec[a].y = pm->u.m[j][1];
 247                 vec[a].z = pm->u.m[j][2];
 248                 vec[a].w = pm->u.m[j][3];
 249             }
 250         }
 251     D3DXVec4Cross(&v, &vec[0], &vec[1], &vec[2]);
 252     out.u.m[0][i] = pow(-1.0f, i) * v.x / det;
 253     out.u.m[1][i] = pow(-1.0f, i) * v.y / det;
 254     out.u.m[2][i] = pow(-1.0f, i) * v.z / det;
 255     out.u.m[3][i] = pow(-1.0f, i) * v.w / det;
 256    }
 257
 258    *pout = out;
 259    return pout;
 260 }
 261
 262 D3DXMATRIX* WINAPI D3DXMatrixLookAtLH(D3DXMATRIX *pout, CONST D3DXVECTOR3 *peye, CONST D3DXVECTOR3 *pat, CONST D3DXVECTOR3 *pup)
 263 {
 264     D3DXVECTOR3 right, rightn, up, upn, vec, vec2;
 265
 266     D3DXVec3Subtract(&vec2, pat, peye);
 267     D3DXVec3Normalize(&vec, &vec2);
 268     D3DXVec3Cross(&right, pup, &vec);
 269     D3DXVec3Cross(&up, &vec, &right);
 270     D3DXVec3Normalize(&rightn, &right);
 271     D3DXVec3Normalize(&upn, &up);
 272     pout->u.m[0][0] = rightn.x;
 273     pout->u.m[1][0] = rightn.y;
 274     pout->u.m[2][0] = rightn.z;
 275     pout->u.m[3][0] = -D3DXVec3Dot(&rightn,peye);
 276     pout->u.m[0][1] = upn.x;
 277     pout->u.m[1][1] = upn.y;
 278     pout->u.m[2][1] = upn.z;
 279     pout->u.m[3][1] = -D3DXVec3Dot(&upn, peye);
 280     pout->u.m[0][2] = vec.x;
 281     pout->u.m[1][2] = vec.y;
 282     pout->u.m[2][2] = vec.z;
 283     pout->u.m[3][2] = -D3DXVec3Dot(&vec, peye);
 284     pout->u.m[0][3] = 0.0f;
 285     pout->u.m[1][3] = 0.0f;
 286     pout->u.m[2][3] = 0.0f;
 287     pout->u.m[3][3] = 1.0f;
 288     return pout;
 289 }
 290
 291 D3DXMATRIX* WINAPI D3DXMatrixLookAtRH(D3DXMATRIX *pout, CONST D3DXVECTOR3 *peye, CONST D3DXVECTOR3 *pat, CONST D3DXVECTOR3 *pup)
 292 {
 293     D3DXVECTOR3 right, rightn, up, upn, vec, vec2;
 294
 295     D3DXVec3Subtract(&vec2, pat, peye);
 296     D3DXVec3Normalize(&vec, &vec2);
 297     D3DXVec3Cross(&right, pup, &vec);
 298     D3DXVec3Cross(&up, &vec, &right);
 299     D3DXVec3Normalize(&rightn, &right);
 300     D3DXVec3Normalize(&upn, &up);
 301     pout->u.m[0][0] = -rightn.x;
 302     pout->u.m[1][0] = -rightn.y;
 303     pout->u.m[2][0] = -rightn.z;
 304     pout->u.m[3][0] = D3DXVec3Dot(&rightn,peye);
 305     pout->u.m[0][1] = upn.x;
 306     pout->u.m[1][1] = upn.y;
 307     pout->u.m[2][1] = upn.z;
 308     pout->u.m[3][1] = -D3DXVec3Dot(&upn, peye);
 309     pout->u.m[0][2] = -vec.x;
 310     pout->u.m[1][2] = -vec.y;
 311     pout->u.m[2][2] = -vec.z;
 312     pout->u.m[3][2] = D3DXVec3Dot(&vec, peye);
 313     pout->u.m[0][3] = 0.0f;
 314     pout->u.m[1][3] = 0.0f;
 315     pout->u.m[2][3] = 0.0f;
 316     pout->u.m[3][3] = 1.0f;
 317     return pout;
 318 }
 319
 320 D3DXMATRIX* WINAPI D3DXMatrixMultiply(D3DXMATRIX *pout, CONST D3DXMATRIX *pm1, CONST D3DXMATRIX *pm2)
 321 {
 322     D3DXMATRIX out;
 323     int i,j;
 324
 325     for (i=0; i<4; i++)
 326     {
 327         for (j=0; j<4; j++)
 328         {
 329             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];
 330         }
 331     }
 332
 333     *pout = out;
 334     return pout;
 335 }
 336
 337 D3DXMATRIX* WINAPI D3DXMatrixMultiplyTranspose(D3DXMATRIX *pout, CONST D3DXMATRIX *pm1, CONST D3DXMATRIX *pm2)
 338 {
 339     D3DXMatrixMultiply(pout, pm1, pm2);
 340     D3DXMatrixTranspose(pout, pout);
 341     return pout;
 342 }
 343
 344 D3DXMATRIX* WINAPI D3DXMatrixOrthoLH(D3DXMATRIX *pout, FLOAT w, FLOAT h, FLOAT zn, FLOAT zf)
 345 {
 346     D3DXMatrixIdentity(pout);
 347     pout->u.m[0][0] = 2.0f / w;
 348     pout->u.m[1][1] = 2.0f / h;
 349     pout->u.m[2][2] = 1.0f / (zf - zn);
 350     pout->u.m[3][2] = zn / (zn - zf);
 351     return pout;
 352 }
 353
 354 D3DXMATRIX* WINAPI D3DXMatrixOrthoOffCenterLH(D3DXMATRIX *pout, FLOAT l, FLOAT r, FLOAT b, FLOAT t, FLOAT zn, FLOAT zf)
 355 {
 356     D3DXMatrixIdentity(pout);
 357     pout->u.m[0][0] = 2.0f / (r - l);
 358     pout->u.m[1][1] = 2.0f / (t - b);
 359     pout->u.m[2][2] = 1.0f / (zf -zn);
 360     pout->u.m[3][0] = -1.0f -2.0f *l / (r - l);
 361     pout->u.m[3][1] = 1.0f + 2.0f * t / (b - t);
 362     pout->u.m[3][2] = zn / (zn -zf);
 363     return pout;
 364 }
 365
 366 D3DXMATRIX* WINAPI D3DXMatrixOrthoOffCenterRH(D3DXMATRIX *pout, FLOAT l, FLOAT r, FLOAT b, FLOAT t, FLOAT zn, FLOAT zf)
 367 {
 368     D3DXMatrixIdentity(pout);
 369     pout->u.m[0][0] = 2.0f / (r - l);
 370     pout->u.m[1][1] = 2.0f / (t - b);
 371     pout->u.m[2][2] = 1.0f / (zn -zf);
 372     pout->u.m[3][0] = -1.0f -2.0f *l / (r - l);
 373     pout->u.m[3][1] = 1.0f + 2.0f * t / (b - t);
 374     pout->u.m[3][2] = zn / (zn -zf);
 375     return pout;
 376 }
 377
 378 D3DXMATRIX* WINAPI D3DXMatrixOrthoRH(D3DXMATRIX *pout, FLOAT w, FLOAT h, FLOAT zn, FLOAT zf)
 379 {
 380     D3DXMatrixIdentity(pout);
 381     pout->u.m[0][0] = 2.0f / w;
 382     pout->u.m[1][1] = 2.0f / h;
 383     pout->u.m[2][2] = 1.0f / (zn - zf);
 384     pout->u.m[3][2] = zn / (zn - zf);
 385     return pout;
 386 }
 387
 388 D3DXMATRIX* WINAPI D3DXMatrixPerspectiveFovLH(D3DXMATRIX *pout, FLOAT fovy, FLOAT aspect, FLOAT zn, FLOAT zf)
 389 {
 390     D3DXMatrixIdentity(pout);
 391     pout->u.m[0][0] = 1.0f / (aspect * tan(fovy/2.0f));
 392     pout->u.m[1][1] = 1.0f / tan(fovy/2.0f);
 393     pout->u.m[2][2] = zf / (zf - zn);
 394     pout->u.m[2][3] = 1.0f;
 395     pout->u.m[3][2] = (zf * zn) / (zn - zf);
 396     pout->u.m[3][3] = 0.0f;
 397     return pout;
 398 }
 399
 400 D3DXMATRIX* WINAPI D3DXMatrixPerspectiveFovRH(D3DXMATRIX *pout, FLOAT fovy, FLOAT aspect, FLOAT zn, FLOAT zf)
 401 {
 402     D3DXMatrixIdentity(pout);
 403     pout->u.m[0][0] = 1.0f / (aspect * tan(fovy/2.0f));
 404     pout->u.m[1][1] = 1.0f / tan(fovy/2.0f);
 405     pout->u.m[2][2] = zf / (zn - zf);
 406     pout->u.m[2][3] = -1.0f;
 407     pout->u.m[3][2] = (zf * zn) / (zn - zf);
 408     pout->u.m[3][3] = 0.0f;
 409     return pout;
 410 }
 411
 412 D3DXMATRIX* WINAPI D3DXMatrixPerspectiveLH(D3DXMATRIX *pout, FLOAT w, FLOAT h, FLOAT zn, FLOAT zf)
 413 {
 414     D3DXMatrixIdentity(pout);
 415     pout->u.m[0][0] = 2.0f * zn / w;
 416     pout->u.m[1][1] = 2.0f * zn / h;
 417     pout->u.m[2][2] = zf / (zf - zn);
 418     pout->u.m[3][2] = (zn * zf) / (zn - zf);
 419     pout->u.m[2][3] = 1.0f;
 420     pout->u.m[3][3] = 0.0f;
 421     return pout;
 422 }
 423
 424 D3DXMATRIX* WINAPI D3DXMatrixPerspectiveOffCenterLH(D3DXMATRIX *pout, FLOAT l, FLOAT r, FLOAT b, FLOAT t, FLOAT zn, FLOAT zf)
 425 {
 426     D3DXMatrixIdentity(pout);
 427     pout->u.m[0][0] = 2.0f * zn / (r - l);
 428     pout->u.m[1][1] = -2.0f * zn / (b - t);
 429     pout->u.m[2][0] = -1.0f - 2.0f * l / (r - l);
 430     pout->u.m[2][1] = 1.0f + 2.0f * t / (b - t);
 431     pout->u.m[2][2] = - zf / (zn - zf);
 432     pout->u.m[3][2] = (zn * zf) / (zn -zf);
 433     pout->u.m[2][3] = 1.0f;
 434     pout->u.m[3][3] = 0.0f;
 435     return pout;
 436 }
 437
 438 D3DXMATRIX* WINAPI D3DXMatrixPerspectiveOffCenterRH(D3DXMATRIX *pout, FLOAT l, FLOAT r, FLOAT b, FLOAT t, FLOAT zn, FLOAT zf)
 439 {
 440     D3DXMatrixIdentity(pout);
 441     pout->u.m[0][0] = 2.0f * zn / (r - l);
 442     pout->u.m[1][1] = -2.0f * zn / (b - t);
 443     pout->u.m[2][0] = 1.0f + 2.0f * l / (r - l);
 444     pout->u.m[2][1] = -1.0f -2.0f * t / (b - t);
 445     pout->u.m[2][2] = zf / (zn - zf);
 446     pout->u.m[3][2] = (zn * zf) / (zn -zf);
 447     pout->u.m[2][3] = -1.0f;
 448     pout->u.m[3][3] = 0.0f;
 449     return pout;
 450 }
 451
 452 D3DXMATRIX* WINAPI D3DXMatrixPerspectiveRH(D3DXMATRIX *pout, FLOAT w, FLOAT h, FLOAT zn, FLOAT zf)
 453 {
 454     D3DXMatrixIdentity(pout);
 455     pout->u.m[0][0] = 2.0f * zn / w;
 456     pout->u.m[1][1] = 2.0f * zn / h;
 457     pout->u.m[2][2] = zf / (zn - zf);
 458     pout->u.m[3][2] = (zn * zf) / (zn - zf);
 459     pout->u.m[2][3] = -1.0f;
 460     pout->u.m[3][3] = 0.0f;
 461     return pout;
 462 }
 463
 464 D3DXMATRIX* WINAPI D3DXMatrixReflect(D3DXMATRIX *pout, CONST D3DXPLANE *pplane)
 465 {
 466     D3DXPLANE Nplane;
 467
 468     D3DXPlaneNormalize(&Nplane, pplane);
 469     D3DXMatrixIdentity(pout);
 470     pout->u.m[0][0] = 1.0f - 2.0f * Nplane.a * Nplane.a;
 471     pout->u.m[0][1] = -2.0f * Nplane.a * Nplane.b;
 472     pout->u.m[0][2] = -2.0f * Nplane.a * Nplane.c;
 473     pout->u.m[1][0] = -2.0f * Nplane.a * Nplane.b;
 474     pout->u.m[1][1] = 1.0f - 2.0f * Nplane.b * Nplane.b;
 475     pout->u.m[1][2] = -2.0f * Nplane.b * Nplane.c;
 476     pout->u.m[2][0] = -2.0f * Nplane.c * Nplane.a;
 477     pout->u.m[2][1] = -2.0f * Nplane.c * Nplane.b;
 478     pout->u.m[2][2] = 1.0f - 2.0f * Nplane.c * Nplane.c;
 479     pout->u.m[3][0] = -2.0f * Nplane.d * Nplane.a;
 480     pout->u.m[3][1] = -2.0f * Nplane.d * Nplane.b;
 481     pout->u.m[3][2] = -2.0f * Nplane.d * Nplane.c;
 482     return pout;
 483 }
 484
 485 D3DXMATRIX* WINAPI D3DXMatrixRotationAxis(D3DXMATRIX *pout, CONST D3DXVECTOR3 *pv, FLOAT angle)
 486 {
 487     D3DXVECTOR3 v;
 488
 489     D3DXVec3Normalize(&v,pv);
 490     D3DXMatrixIdentity(pout);
 491     pout->u.m[0][0] = (1.0f - cos(angle)) * v.x * v.x + cos(angle);
 492     pout->u.m[1][0] = (1.0f - cos(angle)) * v.x * v.y - sin(angle) * v.z;
 493     pout->u.m[2][0] = (1.0f - cos(angle)) * v.x * v.z + sin(angle) * v.y;
 494     pout->u.m[0][1] = (1.0f - cos(angle)) * v.y * v.x + sin(angle) * v.z;
 495     pout->u.m[1][1] = (1.0f - cos(angle)) * v.y * v.y + cos(angle);
 496     pout->u.m[2][1] = (1.0f - cos(angle)) * v.y * v.z - sin(angle) * v.x;
 497     pout->u.m[0][2] = (1.0f - cos(angle)) * v.z * v.x - sin(angle) * v.y;
 498     pout->u.m[1][2] = (1.0f - cos(angle)) * v.z * v.y + sin(angle) * v.x;
 499     pout->u.m[2][2] = (1.0f - cos(angle)) * v.z * v.z + cos(angle);
 500     return pout;
 501 }
 502
 503 D3DXMATRIX* WINAPI D3DXMatrixRotationQuaternion(D3DXMATRIX *pout, CONST D3DXQUATERNION *pq)
 504 {
 505     D3DXMatrixIdentity(pout);
 506     pout->u.m[0][0] = 1.0f - 2.0f * (pq->y * pq->y + pq->z * pq->z);
 507     pout->u.m[0][1] = 2.0f * (pq->x *pq->y + pq->z * pq->w);
 508     pout->u.m[0][2] = 2.0f * (pq->x * pq->z - pq->y * pq->w);
 509     pout->u.m[1][0] = 2.0f * (pq->x * pq->y - pq->z * pq->w);
 510     pout->u.m[1][1] = 1.0f - 2.0f * (pq->x * pq->x + pq->z * pq->z);
 511     pout->u.m[1][2] = 2.0f * (pq->y *pq->z + pq->x *pq->w);
 512     pout->u.m[2][0] = 2.0f * (pq->x * pq->z + pq->y * pq->w);
 513     pout->u.m[2][1] = 2.0f * (pq->y *pq->z - pq->x *pq->w);
 514     pout->u.m[2][2] = 1.0f - 2.0f * (pq->x * pq->x + pq->y * pq->y);
 515     return pout;
 516 }
 517
 518 D3DXMATRIX* WINAPI D3DXMatrixRotationX(D3DXMATRIX *pout, FLOAT angle)
 519 {
 520     D3DXMatrixIdentity(pout);
 521     pout->u.m[1][1] = cos(angle);
 522     pout->u.m[2][2] = cos(angle);
 523     pout->u.m[1][2] = sin(angle);
 524     pout->u.m[2][1] = -sin(angle);
 525     return pout;
 526 }
 527
 528 D3DXMATRIX* WINAPI D3DXMatrixRotationY(D3DXMATRIX *pout, FLOAT angle)
 529 {
 530     D3DXMatrixIdentity(pout);
 531     pout->u.m[0][0] = cos(angle);
 532     pout->u.m[2][2] = cos(angle);
 533     pout->u.m[0][2] = -sin(angle);
 534     pout->u.m[2][0] = sin(angle);
 535     return pout;
 536 }
 537
 538 D3DXMATRIX* WINAPI D3DXMatrixRotationYawPitchRoll(D3DXMATRIX *pout, FLOAT yaw, FLOAT pitch, FLOAT roll)
 539 {
 540     D3DXMATRIX m;
 541
 542     D3DXMatrixIdentity(pout);
 543     D3DXMatrixRotationZ(&m, roll);
 544     D3DXMatrixMultiply(pout, pout, &m);
 545     D3DXMatrixRotationX(&m, pitch);
 546     D3DXMatrixMultiply(pout, pout, &m);
 547     D3DXMatrixRotationY(&m, yaw);
 548     D3DXMatrixMultiply(pout, pout, &m);
 549     return pout;
 550 }
 551 D3DXMATRIX* WINAPI D3DXMatrixRotationZ(D3DXMATRIX *pout, FLOAT angle)
 552 {
 553     D3DXMatrixIdentity(pout);
 554     pout->u.m[0][0] = cos(angle);
 555     pout->u.m[1][1] = cos(angle);
 556     pout->u.m[0][1] = sin(angle);
 557     pout->u.m[1][0] = -sin(angle);
 558     return pout;
 559 }
 560
 561 D3DXMATRIX* WINAPI D3DXMatrixScaling(D3DXMATRIX *pout, FLOAT sx, FLOAT sy, FLOAT sz)
 562 {
 563     D3DXMatrixIdentity(pout);
 564     pout->u.m[0][0] = sx;
 565     pout->u.m[1][1] = sy;
 566     pout->u.m[2][2] = sz;
 567     return pout;
 568 }
 569
 570 D3DXMATRIX* WINAPI D3DXMatrixShadow(D3DXMATRIX *pout, CONST D3DXVECTOR4 *plight, CONST D3DXPLANE *pplane)
 571 {
 572     D3DXPLANE Nplane;
 573     FLOAT dot;
 574
 575     D3DXPlaneNormalize(&Nplane, pplane);
 576     dot = D3DXPlaneDot(&Nplane, plight);
 577     pout->u.m[0][0] = dot - Nplane.a * plight->x;
 578     pout->u.m[0][1] = -Nplane.a * plight->y;
 579     pout->u.m[0][2] = -Nplane.a * plight->z;
 580     pout->u.m[0][3] = -Nplane.a * plight->w;
 581     pout->u.m[1][0] = -Nplane.b * plight->x;
 582     pout->u.m[1][1] = dot - Nplane.b * plight->y;
 583     pout->u.m[1][2] = -Nplane.b * plight->z;
 584     pout->u.m[1][3] = -Nplane.b * plight->w;
 585     pout->u.m[2][0] = -Nplane.c * plight->x;
 586     pout->u.m[2][1] = -Nplane.c * plight->y;
 587     pout->u.m[2][2] = dot - Nplane.c * plight->z;
 588     pout->u.m[2][3] = -Nplane.c * plight->w;
 589     pout->u.m[3][0] = -Nplane.d * plight->x;
 590     pout->u.m[3][1] = -Nplane.d * plight->y;
 591     pout->u.m[3][2] = -Nplane.d * plight->z;
 592     pout->u.m[3][3] = dot - Nplane.d * plight->w;
 593     return pout;
 594 }
 595
 596 D3DXMATRIX* WINAPI D3DXMatrixTransformation(D3DXMATRIX *pout, CONST D3DXVECTOR3 *pscalingcenter, CONST D3DXQUATERNION *pscalingrotation, CONST D3DXVECTOR3 *pscaling, CONST D3DXVECTOR3 *protationcenter, CONST D3DXQUATERNION *protation, CONST D3DXVECTOR3 *ptranslation)
 597 {
 598     D3DXMATRIX m1, m2, m3, m4, m5, m6, m7;
 599     D3DXQUATERNION prc;
 600     D3DXVECTOR3 psc, pt;
 601
 602     if ( !pscalingcenter )
 603     {
 604         psc.x = 0.0f;
 605         psc.y = 0.0f;
 606         psc.z = 0.0f;
 607     }
 608     else
 609     {
 610         psc.x = pscalingcenter->x;
 611         psc.y = pscalingcenter->y;
 612         psc.z = pscalingcenter->z;
 613     }
 614
 615     if ( !protationcenter )
 616     {
 617         prc.x = 0.0f;
 618         prc.y = 0.0f;
 619         prc.z = 0.0f;
 620     }
 621     else
 622     {
 623         prc.x = protationcenter->x;
 624         prc.y = protationcenter->y;
 625         prc.z = protationcenter->z;
 626     }
 627
 628     if ( !ptranslation )
 629     {
 630         pt.x = 0.0f;
 631         pt.y = 0.0f;
 632         pt.z = 0.0f;
 633     }
 634     else
 635     {
 636         pt.x = ptranslation->x;
 637         pt.y = ptranslation->y;
 638         pt.z = ptranslation->z;
 639     }
 640
 641     D3DXMatrixTranslation(&m1, -psc.x, -psc.y, -psc.z);
 642
 643     if ( !pscalingrotation )
 644     {
 645         D3DXMatrixIdentity(&m2);
 646         D3DXMatrixIdentity(&m4);
 647     }
 648     else
 649     {
 650         D3DXMatrixRotationQuaternion(&m4, pscalingrotation);
 651         D3DXMatrixInverse(&m2, NULL, &m4);
 652     }
 653
 654     if ( !pscaling ) D3DXMatrixIdentity(&m3);
 655     else D3DXMatrixScaling(&m3, pscaling->x, pscaling->y, pscaling->z);
 656
 657     if ( !protation ) D3DXMatrixIdentity(&m6);
 658     else D3DXMatrixRotationQuaternion(&m6, protation);
 659
 660     D3DXMatrixTranslation(&m5, psc.x - prc.x,  psc.y - prc.y,  psc.z - prc.z);
 661     D3DXMatrixTranslation(&m7, prc.x + pt.x, prc.y + pt.y, prc.z + pt.z);
 662     D3DXMatrixMultiply(&m1, &m1, &m2);
 663     D3DXMatrixMultiply(&m1, &m1, &m3);
 664     D3DXMatrixMultiply(&m1, &m1, &m4);
 665     D3DXMatrixMultiply(&m1, &m1, &m5);
 666     D3DXMatrixMultiply(&m1, &m1, &m6);
 667     D3DXMatrixMultiply(pout, &m1, &m7);
 668     return pout;
 669 }
 670 D3DXMATRIX* WINAPI D3DXMatrixTransformation2D(D3DXMATRIX *pout, CONST D3DXVECTOR2 *pscalingcenter, FLOAT scalingrotation, CONST D3DXVECTOR2 *pscaling, CONST D3DXVECTOR2 *protationcenter, FLOAT rotation, CONST D3DXVECTOR2 *ptranslation)
 671 {
 672     D3DXQUATERNION rot, sca_rot;
 673     D3DXVECTOR3 rot_center, sca, sca_center, trans;
 674
 675     if ( pscalingcenter )
 676     {
 677         sca_center.x=pscalingcenter->x;
 678         sca_center.y=pscalingcenter->y;
 679         sca_center.z=0.0f;
 680     }
 681     else
 682     {
 683         sca_center.x=0.0f;
 684         sca_center.y=0.0f;
 685         sca_center.z=0.0f;
 686     }
 687
 688     if ( pscaling )
 689     {
 690         sca.x=pscaling->x;
 691         sca.y=pscaling->y;
 692         sca.z=1.0f;
 693     }
 694     else
 695     {
 696         sca.x=1.0f;
 697         sca.y=1.0f;
 698         sca.z=1.0f;
 699     }
 700
 701     if ( protationcenter )
 702     {
 703         rot_center.x=protationcenter->x;
 704         rot_center.y=protationcenter->y;
 705         rot_center.z=0.0f;
 706     }
 707     else
 708     {
 709         rot_center.x=0.0f;
 710         rot_center.y=0.0f;
 711         rot_center.z=0.0f;
 712     }
 713
 714     if ( ptranslation )
 715     {
 716         trans.x=ptranslation->x;
 717         trans.y=ptranslation->y;
 718         trans.z=0.0f;
 719     }
 720     else
 721     {
 722         trans.x=0.0f;
 723         trans.y=0.0f;
 724         trans.z=0.0f;
 725     }
 726
 727     rot.w=cos(rotation/2.0f);
 728     rot.x=0.0f;
 729     rot.y=0.0f;
 730     rot.z=sin(rotation/2.0f);
 731
 732     sca_rot.w=cos(scalingrotation/2.0f);
 733     sca_rot.x=0.0f;
 734     sca_rot.y=0.0f;
 735     sca_rot.z=sin(scalingrotation/2.0f);
 736
 737     D3DXMatrixTransformation(pout, &sca_center, &sca_rot, &sca, &rot_center, &rot, &trans);
 738
 739     return pout;
 740 }
 741
 742 D3DXMATRIX* WINAPI D3DXMatrixTranslation(D3DXMATRIX *pout, FLOAT x, FLOAT y, FLOAT z)
 743 {
 744     D3DXMatrixIdentity(pout);
 745     pout->u.m[3][0] = x;
 746     pout->u.m[3][1] = y;
 747     pout->u.m[3][2] = z;
 748     return pout;
 749 }
 750
 751 D3DXMATRIX* WINAPI D3DXMatrixTranspose(D3DXMATRIX *pout, CONST D3DXMATRIX *pm)
 752 {
 753     CONST D3DXMATRIX m = *pm;
 754     int i,j;
 755
 756     for (i=0; i<4; i++)
 757         for (j=0; j<4; j++) pout->u.m[i][j] = m.u.m[j][i];
 758
 759     return pout;
 760 }
 761
 762 /*_________________D3DXMatrixStack____________________*/
 763
 764 static const unsigned int INITIAL_STACK_SIZE = 32;
 765
 766 HRESULT WINAPI D3DXCreateMatrixStack(DWORD flags, LPD3DXMATRIXSTACK* ppstack)
 767 {
 768     ID3DXMatrixStackImpl* object;
 769
 770     TRACE("flags %#x, ppstack %p\n", flags, ppstack);
 771
 772     object = HeapAlloc(GetProcessHeap(), HEAP_ZERO_MEMORY, sizeof(ID3DXMatrixStackImpl));
 773     if ( object == NULL )
 774     {
 775      *ppstack = NULL;
 776      return E_OUTOFMEMORY;
 777     }
 778     object->ID3DXMatrixStack_iface.lpVtbl = &ID3DXMatrixStack_Vtbl;
 779     object->ref = 1;
 780
 781     object->stack = HeapAlloc(GetProcessHeap(), 0, INITIAL_STACK_SIZE * sizeof(D3DXMATRIX));
 782     if (!object->stack)
 783     {
 784         HeapFree(GetProcessHeap(), 0, object);
 785         *ppstack = NULL;
 786         return E_OUTOFMEMORY;
 787     }
 788
 789     object->current = 0;
 790     object->stack_size = INITIAL_STACK_SIZE;
 791     D3DXMatrixIdentity(&object->stack[0]);
 792
 793     TRACE("Created matrix stack %p\n", object);
 794
 795     *ppstack = &object->ID3DXMatrixStack_iface;
 796     return D3D_OK;
 797 }
 798
 799 static inline ID3DXMatrixStackImpl *impl_from_ID3DXMatrixStack(ID3DXMatrixStack *iface)
 800 {
 801   return CONTAINING_RECORD(iface, ID3DXMatrixStackImpl, ID3DXMatrixStack_iface);
 802 }
 803
 804 static HRESULT WINAPI ID3DXMatrixStackImpl_QueryInterface(ID3DXMatrixStack *iface, REFIID riid, void **out)
 805 {
 806     TRACE("iface %p, riid %s, out %p.\n", iface, debugstr_guid(riid), out);
 807
 808     if (IsEqualGUID(riid, &IID_ID3DXMatrixStack)
 809             || IsEqualGUID(riid, &IID_IUnknown))
 810     {
 811         ID3DXMatrixStack_AddRef(iface);
 812         *out = iface;
 813         return S_OK;
 814     }
 815
 816     WARN("%s not implemented, returning E_NOINTERFACE.\n", debugstr_guid(riid));
 817
 818     *out = NULL;
 819     return E_NOINTERFACE;
 820 }
 821
 822 static ULONG WINAPI ID3DXMatrixStackImpl_AddRef(ID3DXMatrixStack *iface)
 823 {
 824     ID3DXMatrixStackImpl *This = impl_from_ID3DXMatrixStack(iface);
 825     ULONG ref = InterlockedIncrement(&This->ref);
 826     TRACE("(%p) : AddRef from %d\n", This, ref - 1);
 827     return ref;
 828 }
 829
 830 static ULONG WINAPI ID3DXMatrixStackImpl_Release(ID3DXMatrixStack* iface)
 831 {
 832     ID3DXMatrixStackImpl *This = impl_from_ID3DXMatrixStack(iface);
 833     ULONG ref = InterlockedDecrement(&This->ref);
 834     if (!ref)
 835     {
 836         HeapFree(GetProcessHeap(), 0, This->stack);
 837         HeapFree(GetProcessHeap(), 0, This);
 838     }
 839     TRACE("(%p) : ReleaseRef to %d\n", This, ref);
 840     return ref;
 841 }
 842
 843 static D3DXMATRIX* WINAPI ID3DXMatrixStackImpl_GetTop(ID3DXMatrixStack *iface)
 844 {
 845     ID3DXMatrixStackImpl *This = impl_from_ID3DXMatrixStack(iface);
 846
 847     TRACE("iface %p\n", iface);
 848
 849     return &This->stack[This->current];
 850 }
 851
 852 static HRESULT WINAPI ID3DXMatrixStackImpl_LoadIdentity(ID3DXMatrixStack *iface)
 853 {
 854     ID3DXMatrixStackImpl *This = impl_from_ID3DXMatrixStack(iface);
 855
 856     TRACE("iface %p\n", iface);
 857
 858     D3DXMatrixIdentity(&This->stack[This->current]);
 859
 860     return D3D_OK;
 861 }
 862
 863 static HRESULT WINAPI ID3DXMatrixStackImpl_LoadMatrix(ID3DXMatrixStack *iface, CONST D3DXMATRIX *pm)
 864 {
 865     ID3DXMatrixStackImpl *This = impl_from_ID3DXMatrixStack(iface);
 866
 867     TRACE("iface %p\n", iface);
 868
 869     This->stack[This->current] = *pm;
 870
 871     return D3D_OK;
 872 }
 873
 874 static HRESULT WINAPI ID3DXMatrixStackImpl_MultMatrix(ID3DXMatrixStack *iface, CONST D3DXMATRIX *pm)
 875 {
 876     ID3DXMatrixStackImpl *This = impl_from_ID3DXMatrixStack(iface);
 877
 878     TRACE("iface %p\n", iface);
 879
 880     D3DXMatrixMultiply(&This->stack[This->current], &This->stack[This->current], pm);
 881
 882     return D3D_OK;
 883 }
 884
 885 static HRESULT WINAPI ID3DXMatrixStackImpl_MultMatrixLocal(ID3DXMatrixStack *iface, CONST D3DXMATRIX *pm)
 886 {
 887     ID3DXMatrixStackImpl *This = impl_from_ID3DXMatrixStack(iface);
 888
 889     TRACE("iface %p\n", iface);
 890
 891     D3DXMatrixMultiply(&This->stack[This->current], pm, &This->stack[This->current]);
 892
 893     return D3D_OK;
 894 }
 895
 896 static HRESULT WINAPI ID3DXMatrixStackImpl_Pop(ID3DXMatrixStack *iface)
 897 {
 898     ID3DXMatrixStackImpl *This = impl_from_ID3DXMatrixStack(iface);
 899
 900     TRACE("iface %p\n", iface);
 901
 902     /* Popping the last element on the stack returns D3D_OK, but does nothing. */
 903     if (!This->current) return D3D_OK;
 904
 905     if (This->current <= This->stack_size / 4 && This->stack_size >= INITIAL_STACK_SIZE * 2)
 906     {
 907         unsigned int new_size;
 908         D3DXMATRIX *new_stack;
 909
 910         new_size = This->stack_size / 2;
 911         new_stack = HeapReAlloc(GetProcessHeap(), 0, This->stack, new_size * sizeof(D3DXMATRIX));
 912         if (new_stack)
 913         {
 914             This->stack_size = new_size;
 915             This->stack = new_stack;
 916         }
 917     }
 918
 919     --This->current;
 920
 921     return D3D_OK;
 922 }
 923
 924 static HRESULT WINAPI ID3DXMatrixStackImpl_Push(ID3DXMatrixStack *iface)
 925 {
 926     ID3DXMatrixStackImpl *This = impl_from_ID3DXMatrixStack(iface);
 927
 928     TRACE("iface %p\n", iface);
 929
 930     if (This->current == This->stack_size - 1)
 931     {
 932         unsigned int new_size;
 933         D3DXMATRIX *new_stack;
 934
 935         if (This->stack_size > UINT_MAX / 2) return E_OUTOFMEMORY;
 936
 937         new_size = This->stack_size * 2;
 938         new_stack = HeapReAlloc(GetProcessHeap(), 0, This->stack, new_size * sizeof(D3DXMATRIX));
 939         if (!new_stack) return E_OUTOFMEMORY;
 940
 941         This->stack_size = new_size;
 942         This->stack = new_stack;
 943     }
 944
 945     ++This->current;
 946     This->stack[This->current] = This->stack[This->current - 1];
 947
 948     return D3D_OK;
 949 }
 950
 951 static HRESULT WINAPI ID3DXMatrixStackImpl_RotateAxis(ID3DXMatrixStack *iface, CONST D3DXVECTOR3 *pv, FLOAT angle)
 952 {
 953     D3DXMATRIX temp;
 954     ID3DXMatrixStackImpl *This = impl_from_ID3DXMatrixStack(iface);
 955
 956     TRACE("iface %p\n", iface);
 957
 958     D3DXMatrixRotationAxis(&temp, pv, angle);
 959     D3DXMatrixMultiply(&This->stack[This->current], &This->stack[This->current], &temp);
 960
 961     return D3D_OK;
 962 }
 963
 964 static HRESULT WINAPI ID3DXMatrixStackImpl_RotateAxisLocal(ID3DXMatrixStack *iface, CONST D3DXVECTOR3 *pv, FLOAT angle)
 965 {
 966     D3DXMATRIX temp;
 967     ID3DXMatrixStackImpl *This = impl_from_ID3DXMatrixStack(iface);
 968
 969     TRACE("iface %p\n", iface);
 970
 971     D3DXMatrixRotationAxis(&temp, pv, angle);
 972     D3DXMatrixMultiply(&This->stack[This->current], &temp, &This->stack[This->current]);
 973
 974     return D3D_OK;
 975 }
 976
 977 static HRESULT WINAPI ID3DXMatrixStackImpl_RotateYawPitchRoll(ID3DXMatrixStack *iface, FLOAT x, FLOAT y, FLOAT z)
 978 {
 979     D3DXMATRIX temp;
 980     ID3DXMatrixStackImpl *This = impl_from_ID3DXMatrixStack(iface);
 981
 982     TRACE("iface %p\n", iface);
 983
 984     D3DXMatrixRotationYawPitchRoll(&temp, x, y, z);
 985     D3DXMatrixMultiply(&This->stack[This->current], &This->stack[This->current], &temp);
 986
 987     return D3D_OK;
 988 }
 989
 990 static HRESULT WINAPI ID3DXMatrixStackImpl_RotateYawPitchRollLocal(ID3DXMatrixStack *iface, FLOAT x, FLOAT y, FLOAT z)
 991 {
 992     D3DXMATRIX temp;
 993     ID3DXMatrixStackImpl *This = impl_from_ID3DXMatrixStack(iface);
 994
 995     TRACE("iface %p\n", iface);
 996
 997     D3DXMatrixRotationYawPitchRoll(&temp, x, y, z);
 998     D3DXMatrixMultiply(&This->stack[This->current], &temp, &This->stack[This->current]);
 999
1000     return D3D_OK;
1001 }
1002
1003 static HRESULT WINAPI ID3DXMatrixStackImpl_Scale(ID3DXMatrixStack *iface, FLOAT x, FLOAT y, FLOAT z)
1004 {
1005     D3DXMATRIX temp;
1006     ID3DXMatrixStackImpl *This = impl_from_ID3DXMatrixStack(iface);
1007
1008     TRACE("iface %p\n", iface);
1009
1010     D3DXMatrixScaling(&temp, x, y, z);
1011     D3DXMatrixMultiply(&This->stack[This->current], &This->stack[This->current], &temp);
1012
1013     return D3D_OK;
1014 }
1015
1016 static HRESULT WINAPI ID3DXMatrixStackImpl_ScaleLocal(ID3DXMatrixStack *iface, FLOAT x, FLOAT y, FLOAT z)
1017 {
1018     D3DXMATRIX temp;
1019     ID3DXMatrixStackImpl *This = impl_from_ID3DXMatrixStack(iface);
1020
1021     TRACE("iface %p\n", iface);
1022
1023     D3DXMatrixScaling(&temp, x, y, z);
1024     D3DXMatrixMultiply(&This->stack[This->current], &temp, &This->stack[This->current]);
1025
1026     return D3D_OK;
1027 }
1028
1029 static HRESULT WINAPI ID3DXMatrixStackImpl_Translate(ID3DXMatrixStack *iface, FLOAT x, FLOAT y, FLOAT z)
1030 {
1031     D3DXMATRIX temp;
1032     ID3DXMatrixStackImpl *This = impl_from_ID3DXMatrixStack(iface);
1033
1034     TRACE("iface %p\n", iface);
1035
1036     D3DXMatrixTranslation(&temp, x, y, z);
1037     D3DXMatrixMultiply(&This->stack[This->current], &This->stack[This->current], &temp);
1038
1039     return D3D_OK;
1040 }
1041
1042 static HRESULT WINAPI ID3DXMatrixStackImpl_TranslateLocal(ID3DXMatrixStack *iface, FLOAT x, FLOAT y, FLOAT z)
1043 {
1044     D3DXMATRIX temp;
1045     ID3DXMatrixStackImpl *This = impl_from_ID3DXMatrixStack(iface);
1046
1047     TRACE("iface %p\n", iface);
1048
1049     D3DXMatrixTranslation(&temp, x, y, z);
1050     D3DXMatrixMultiply(&This->stack[This->current], &temp,&This->stack[This->current]);
1051
1052     return D3D_OK;
1053 }
1054
1055 static const ID3DXMatrixStackVtbl ID3DXMatrixStack_Vtbl =
1056 {
1057     ID3DXMatrixStackImpl_QueryInterface,
1058     ID3DXMatrixStackImpl_AddRef,
1059     ID3DXMatrixStackImpl_Release,
1060     ID3DXMatrixStackImpl_Pop,
1061     ID3DXMatrixStackImpl_Push,
1062     ID3DXMatrixStackImpl_LoadIdentity,
1063     ID3DXMatrixStackImpl_LoadMatrix,
1064     ID3DXMatrixStackImpl_MultMatrix,
1065     ID3DXMatrixStackImpl_MultMatrixLocal,
1066     ID3DXMatrixStackImpl_RotateAxis,
1067     ID3DXMatrixStackImpl_RotateAxisLocal,
1068     ID3DXMatrixStackImpl_RotateYawPitchRoll,
1069     ID3DXMatrixStackImpl_RotateYawPitchRollLocal,
1070     ID3DXMatrixStackImpl_Scale,
1071     ID3DXMatrixStackImpl_ScaleLocal,
1072     ID3DXMatrixStackImpl_Translate,
1073     ID3DXMatrixStackImpl_TranslateLocal,
1074     ID3DXMatrixStackImpl_GetTop
1075 };
1076
1077 /*_________________D3DXPLANE________________*/
1078
1079 D3DXPLANE* WINAPI D3DXPlaneFromPointNormal(D3DXPLANE *pout, CONST D3DXVECTOR3 *pvpoint, CONST D3DXVECTOR3 *pvnormal)
1080 {
1081     pout->a = pvnormal->x;
1082     pout->b = pvnormal->y;
1083     pout->c = pvnormal->z;
1084     pout->d = -D3DXVec3Dot(pvpoint, pvnormal);
1085     return pout;
1086 }
1087
1088 D3DXPLANE* WINAPI D3DXPlaneFromPoints(D3DXPLANE *pout, CONST D3DXVECTOR3 *pv1, CONST D3DXVECTOR3 *pv2, CONST D3DXVECTOR3 *pv3)
1089 {
1090     D3DXVECTOR3 edge1, edge2, normal, Nnormal;
1091
1092     edge1.x = 0.0f; edge1.y = 0.0f; edge1.z = 0.0f;
1093     edge2.x = 0.0f; edge2.y = 0.0f; edge2.z = 0.0f;
1094     D3DXVec3Subtract(&edge1, pv2, pv1);
1095     D3DXVec3Subtract(&edge2, pv3, pv1);
1096     D3DXVec3Cross(&normal, &edge1, &edge2);
1097     D3DXVec3Normalize(&Nnormal, &normal);
1098     D3DXPlaneFromPointNormal(pout, pv1, &Nnormal);
1099     return pout;
1100 }
1101
1102 D3DXVECTOR3* WINAPI D3DXPlaneIntersectLine(D3DXVECTOR3 *pout, CONST D3DXPLANE *pp, CONST D3DXVECTOR3 *pv1, CONST D3DXVECTOR3 *pv2)
1103 {
1104     D3DXVECTOR3 direction, normal;
1105     FLOAT dot, temp;
1106
1107     normal.x = pp->a;
1108     normal.y = pp->b;
1109     normal.z = pp->c;
1110     direction.x = pv2->x - pv1->x;
1111     direction.y = pv2->y - pv1->y;
1112     direction.z = pv2->z - pv1->z;
1113     dot = D3DXVec3Dot(&normal, &direction);
1114     if ( !dot ) return NULL;
1115     temp = ( pp->d + D3DXVec3Dot(&normal, pv1) ) / dot;
1116     pout->x = pv1->x - temp * direction.x;
1117     pout->y = pv1->y - temp * direction.y;
1118     pout->z = pv1->z - temp * direction.z;
1119     return pout;
1120 }
1121
1122 D3DXPLANE* WINAPI D3DXPlaneNormalize(D3DXPLANE *pout, CONST D3DXPLANE *pp)
1123 {
1124     D3DXPLANE out;
1125     FLOAT norm;
1126
1127     norm = sqrt(pp->a * pp->a + pp->b * pp->b + pp->c * pp->c);
1128     if ( norm )
1129     {
1130      out.a = pp->a / norm;
1131      out.b = pp->b / norm;
1132      out.c = pp->c / norm;
1133      out.d = pp->d / norm;
1134     }
1135     else
1136     {
1137      out.a = 0.0f;
1138      out.b = 0.0f;
1139      out.c = 0.0f;
1140      out.d = 0.0f;
1141     }
1142     *pout = out;
1143     return pout;
1144 }
1145
1146 D3DXPLANE* WINAPI D3DXPlaneTransform(D3DXPLANE *pout, CONST D3DXPLANE *pplane, CONST D3DXMATRIX *pm)
1147 {
1148     CONST D3DXPLANE plane = *pplane;
1149     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;
1150     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;
1151     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;
1152     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;
1153     return pout;
1154 }
1155
1156 D3DXPLANE* WINAPI D3DXPlaneTransformArray(D3DXPLANE* out, UINT outstride, CONST D3DXPLANE* in, UINT instride, CONST D3DXMATRIX* matrix, UINT elements)
1157 {
1158     UINT i;
1159
1160     for (i = 0; i < elements; ++i) {
1161         D3DXPlaneTransform(
1162             (D3DXPLANE*)((char*)out + outstride * i),
1163             (CONST D3DXPLANE*)((const char*)in + instride * i),
1164             matrix);
1165     }
1166     return out;
1167 }
1168
1169 /*_________________D3DXQUATERNION________________*/
1170
1171 D3DXQUATERNION* WINAPI D3DXQuaternionBaryCentric(D3DXQUATERNION *pout, CONST D3DXQUATERNION *pq1, CONST D3DXQUATERNION *pq2, CONST D3DXQUATERNION *pq3, FLOAT f, FLOAT g)
1172 {
1173     D3DXQUATERNION temp1, temp2;
1174     D3DXQuaternionSlerp(pout, D3DXQuaternionSlerp(&temp1, pq1, pq2, f + g), D3DXQuaternionSlerp(&temp2, pq1, pq3, f+g), g / (f + g));
1175     return pout;
1176 }
1177
1178 D3DXQUATERNION* WINAPI D3DXQuaternionExp(D3DXQUATERNION *pout, CONST D3DXQUATERNION *pq)
1179 {
1180     FLOAT norm;
1181
1182     norm = sqrt(pq->x * pq->x + pq->y * pq->y + pq->z * pq->z);
1183     if (norm )
1184     {
1185      pout->x = sin(norm) * pq->x / norm;
1186      pout->y = sin(norm) * pq->y / norm;
1187      pout->z = sin(norm) * pq->z / norm;
1188      pout->w = cos(norm);
1189     }
1190     else
1191     {
1192      pout->x = 0.0f;
1193      pout->y = 0.0f;
1194      pout->z = 0.0f;
1195      pout->w = 1.0f;
1196     }
1197     return pout;
1198 }
1199
1200 D3DXQUATERNION* WINAPI D3DXQuaternionInverse(D3DXQUATERNION *pout, CONST D3DXQUATERNION *pq)
1201 {
1202     D3DXQUATERNION out;
1203     FLOAT norm;
1204
1205     norm = D3DXQuaternionLengthSq(pq);
1206
1207     out.x = -pq->x / norm;
1208     out.y = -pq->y / norm;
1209     out.z = -pq->z / norm;
1210     out.w = pq->w / norm;
1211
1212     *pout =out;
1213     return pout;
1214 }
1215
1216 D3DXQUATERNION* WINAPI D3DXQuaternionLn(D3DXQUATERNION *pout, CONST D3DXQUATERNION *pq)
1217 {
1218     FLOAT norm, normvec, theta;
1219
1220     norm = D3DXQuaternionLengthSq(pq);
1221     if ( norm > 1.0001f )
1222     {
1223      pout->x = pq->x;
1224      pout->y = pq->y;
1225      pout->z = pq->z;
1226      pout->w = 0.0f;
1227     }
1228     else if( norm > 0.99999f)
1229     {
1230      normvec = sqrt( pq->x * pq->x + pq->y * pq->y + pq->z * pq->z );
1231      theta = atan2(normvec, pq->w) / normvec;
1232      pout->x = theta * pq->x;
1233      pout->y = theta * pq->y;
1234      pout->z = theta * pq->z;
1235      pout->w = 0.0f;
1236     }
1237     else
1238     {
1239      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);
1240     }
1241     return pout;
1242 }
1243
1244 D3DXQUATERNION* WINAPI D3DXQuaternionMultiply(D3DXQUATERNION *pout, CONST D3DXQUATERNION *pq1, CONST D3DXQUATERNION *pq2)
1245 {
1246     D3DXQUATERNION out;
1247     out.x = pq2->w * pq1->x + pq2->x * pq1->w + pq2->y * pq1->z - pq2->z * pq1->y;
1248     out.y = pq2->w * pq1->y - pq2->x * pq1->z + pq2->y * pq1->w + pq2->z * pq1->x;
1249     out.z = pq2->w * pq1->z + pq2->x * pq1->y - pq2->y * pq1->x + pq2->z * pq1->w;
1250     out.w = pq2->w * pq1->w - pq2->x * pq1->x - pq2->y * pq1->y - pq2->z * pq1->z;
1251     *pout = out;
1252     return pout;
1253 }
1254
1255 D3DXQUATERNION* WINAPI D3DXQuaternionNormalize(D3DXQUATERNION *pout, CONST D3DXQUATERNION *pq)
1256 {
1257     D3DXQUATERNION out;
1258     FLOAT norm;
1259
1260     norm = D3DXQuaternionLength(pq);
1261
1262     out.x = pq->x / norm;
1263     out.y = pq->y / norm;
1264     out.z = pq->z / norm;
1265     out.w = pq->w / norm;
1266
1267     *pout=out;
1268
1269     return pout;
1270 }
1271
1272 D3DXQUATERNION* WINAPI D3DXQuaternionRotationAxis(D3DXQUATERNION *pout, CONST D3DXVECTOR3 *pv, FLOAT angle)
1273 {
1274     D3DXVECTOR3 temp;
1275
1276     D3DXVec3Normalize(&temp, pv);
1277     pout->x = sin( angle / 2.0f ) * temp.x;
1278     pout->y = sin( angle / 2.0f ) * temp.y;
1279     pout->z = sin( angle / 2.0f ) * temp.z;
1280     pout->w = cos( angle / 2.0f );
1281     return pout;
1282 }
1283
1284 D3DXQUATERNION* WINAPI D3DXQuaternionRotationMatrix(D3DXQUATERNION *pout, CONST D3DXMATRIX *pm)
1285 {
1286     int i, maxi;
1287     FLOAT maxdiag, S, trace;
1288
1289     trace = pm->u.m[0][0] + pm->u.m[1][1] + pm->u.m[2][2] + 1.0f;
1290     if ( trace > 1.0f)
1291     {
1292      pout->x = ( pm->u.m[1][2] - pm->u.m[2][1] ) / ( 2.0f * sqrt(trace) );
1293      pout->y = ( pm->u.m[2][0] - pm->u.m[0][2] ) / ( 2.0f * sqrt(trace) );
1294      pout->z = ( pm->u.m[0][1] - pm->u.m[1][0] ) / ( 2.0f * sqrt(trace) );
1295      pout->w = sqrt(trace) / 2.0f;
1296      return pout;
1297      }
1298     maxi = 0;
1299     maxdiag = pm->u.m[0][0];
1300     for (i=1; i<3; i++)
1301     {
1302      if ( pm->u.m[i][i] > maxdiag )
1303      {
1304       maxi = i;
1305       maxdiag = pm->u.m[i][i];
1306      }
1307     }
1308     switch( maxi )
1309     {
1310      case 0:
1311        S = 2.0f * sqrt(1.0f + pm->u.m[0][0] - pm->u.m[1][1] - pm->u.m[2][2]);
1312        pout->x = 0.25f * S;
1313        pout->y = ( pm->u.m[0][1] + pm->u.m[1][0] ) / S;
1314        pout->z = ( pm->u.m[0][2] + pm->u.m[2][0] ) / S;
1315        pout->w = ( pm->u.m[1][2] - pm->u.m[2][1] ) / S;
1316      break;
1317      case 1:
1318        S = 2.0f * sqrt(1.0f + pm->u.m[1][1] - pm->u.m[0][0] - pm->u.m[2][2]);
1319        pout->x = ( pm->u.m[0][1] + pm->u.m[1][0] ) / S;
1320        pout->y = 0.25f * S;
1321        pout->z = ( pm->u.m[1][2] + pm->u.m[2][1] ) / S;
1322        pout->w = ( pm->u.m[2][0] - pm->u.m[0][2] ) / S;
1323      break;
1324      case 2:
1325        S = 2.0f * sqrt(1.0f + pm->u.m[2][2] - pm->u.m[0][0] - pm->u.m[1][1]);
1326        pout->x = ( pm->u.m[0][2] + pm->u.m[2][0] ) / S;
1327        pout->y = ( pm->u.m[1][2] + pm->u.m[2][1] ) / S;
1328        pout->z = 0.25f * S;
1329        pout->w = ( pm->u.m[0][1] - pm->u.m[1][0] ) / S;
1330      break;
1331     }
1332     return pout;
1333 }
1334
1335 D3DXQUATERNION* WINAPI D3DXQuaternionRotationYawPitchRoll(D3DXQUATERNION *pout, FLOAT yaw, FLOAT pitch, FLOAT roll)
1336 {
1337     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);
1338     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);
1339     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);
1340     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);
1341     return pout;
1342 }
1343
1344 D3DXQUATERNION* WINAPI D3DXQuaternionSlerp(D3DXQUATERNION *pout, CONST D3DXQUATERNION *pq1, CONST D3DXQUATERNION *pq2, FLOAT t)
1345 {
1346     FLOAT dot, epsilon, temp, theta, u;
1347
1348     epsilon = 1.0f;
1349     temp = 1.0f - t;
1350     u = t;
1351     dot = D3DXQuaternionDot(pq1, pq2);
1352     if ( dot < 0.0f )
1353     {
1354         epsilon = -1.0f;
1355         dot = -dot;
1356     }
1357     if( 1.0f - dot > 0.001f )
1358     {
1359         theta = acos(dot);
1360         temp  = sin(theta * temp) / sin(theta);
1361         u = sin(theta * u) / sin(theta);
1362     }
1363     pout->x = temp * pq1->x + epsilon * u * pq2->x;
1364     pout->y = temp * pq1->y + epsilon * u * pq2->y;
1365     pout->z = temp * pq1->z + epsilon * u * pq2->z;
1366     pout->w = temp * pq1->w + epsilon * u * pq2->w;
1367     return pout;
1368 }
1369
1370 D3DXQUATERNION* WINAPI D3DXQuaternionSquad(D3DXQUATERNION *pout, CONST D3DXQUATERNION *pq1, CONST D3DXQUATERNION *pq2, CONST D3DXQUATERNION *pq3, CONST D3DXQUATERNION *pq4, FLOAT t)
1371 {
1372     D3DXQUATERNION temp1, temp2;
1373
1374     D3DXQuaternionSlerp(pout, D3DXQuaternionSlerp(&temp1, pq1, pq4, t), D3DXQuaternionSlerp(&temp2, pq2, pq3, t), 2.0f * t * (1.0f - t));
1375     return pout;
1376 }
1377
1378 void WINAPI D3DXQuaternionToAxisAngle(CONST D3DXQUATERNION *pq, D3DXVECTOR3 *paxis, FLOAT *pangle)
1379 {
1380     paxis->x = pq->x;
1381     paxis->y = pq->y;
1382     paxis->z = pq->z;
1383     *pangle = 2.0f * acos(pq->w);
1384 }
1385
1386 /*_________________D3DXVec2_____________________*/
1387
1388 D3DXVECTOR2* WINAPI D3DXVec2BaryCentric(D3DXVECTOR2 *pout, CONST D3DXVECTOR2 *pv1, CONST D3DXVECTOR2 *pv2, CONST D3DXVECTOR2 *pv3, FLOAT f, FLOAT g)
1389 {
1390     pout->x = (1.0f-f-g) * (pv1->x) + f * (pv2->x) + g * (pv3->x);
1391     pout->y = (1.0f-f-g) * (pv1->y) + f * (pv2->y) + g * (pv3->y);
1392     return pout;
1393 }
1394
1395 D3DXVECTOR2* WINAPI D3DXVec2CatmullRom(D3DXVECTOR2 *pout, CONST D3DXVECTOR2 *pv0, CONST D3DXVECTOR2 *pv1, CONST D3DXVECTOR2 *pv2, CONST D3DXVECTOR2 *pv3, FLOAT s)
1396 {
1397     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);
1398     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);
1399     return pout;
1400 }
1401
1402 D3DXVECTOR2* WINAPI D3DXVec2Hermite(D3DXVECTOR2 *pout, CONST D3DXVECTOR2 *pv1, CONST D3DXVECTOR2 *pt1, CONST D3DXVECTOR2 *pv2, CONST D3DXVECTOR2 *pt2, FLOAT s)
1403 {
1404     FLOAT h1, h2, h3, h4;
1405
1406     h1 = 2.0f * s * s * s - 3.0f * s * s + 1.0f;
1407     h2 = s * s * s - 2.0f * s * s + s;
1408     h3 = -2.0f * s * s * s + 3.0f * s * s;
1409     h4 = s * s * s - s * s;
1410
1411     pout->x = h1 * (pv1->x) + h2 * (pt1->x) + h3 * (pv2->x) + h4 * (pt2->x);
1412     pout->y = h1 * (pv1->y) + h2 * (pt1->y) + h3 * (pv2->y) + h4 * (pt2->y);
1413     return pout;
1414 }
1415
1416 D3DXVECTOR2* WINAPI D3DXVec2Normalize(D3DXVECTOR2 *pout, CONST D3DXVECTOR2 *pv)
1417 {
1418     D3DXVECTOR2 out;
1419     FLOAT norm;
1420
1421     norm = D3DXVec2Length(pv);
1422     if ( !norm )
1423     {
1424      out.x = 0.0f;
1425      out.y = 0.0f;
1426     }
1427     else
1428     {
1429      out.x = pv->x / norm;
1430      out.y = pv->y / norm;
1431     }
1432     *pout=out;
1433     return pout;
1434 }
1435
1436 D3DXVECTOR4* WINAPI D3DXVec2Transform(D3DXVECTOR4 *pout, CONST D3DXVECTOR2 *pv, CONST D3DXMATRIX *pm)
1437 {
1438     pout->x = pm->u.m[0][0] * pv->x + pm->u.m[1][0] * pv->y  + pm->u.m[3][0];
1439     pout->y = pm->u.m[0][1] * pv->x + pm->u.m[1][1] * pv->y  + pm->u.m[3][1];
1440     pout->z = pm->u.m[0][2] * pv->x + pm->u.m[1][2] * pv->y  + pm->u.m[3][2];
1441     pout->w = pm->u.m[0][3] * pv->x + pm->u.m[1][3] * pv->y  + pm->u.m[3][3];
1442     return pout;
1443 }
1444
1445 D3DXVECTOR4* WINAPI D3DXVec2TransformArray(D3DXVECTOR4* out, UINT outstride, CONST D3DXVECTOR2* in, UINT instride, CONST D3DXMATRIX* matrix, UINT elements)
1446 {
1447     UINT i;
1448
1449     for (i = 0; i < elements; ++i) {
1450         D3DXVec2Transform(
1451             (D3DXVECTOR4*)((char*)out + outstride * i),
1452             (CONST D3DXVECTOR2*)((const char*)in + instride * i),
1453             matrix);
1454     }
1455     return out;
1456 }
1457
1458 D3DXVECTOR2* WINAPI D3DXVec2TransformCoord(D3DXVECTOR2 *pout, CONST D3DXVECTOR2 *pv, CONST D3DXMATRIX *pm)
1459 {
1460     D3DXVECTOR2 v;
1461     FLOAT norm;
1462
1463     v = *pv;
1464     norm = pm->u.m[0][3] * pv->x + pm->u.m[1][3] * pv->y + pm->u.m[3][3];
1465
1466     pout->x = (pm->u.m[0][0] * v.x + pm->u.m[1][0] * v.y + pm->u.m[3][0]) / norm;
1467     pout->y = (pm->u.m[0][1] * v.x + pm->u.m[1][1] * v.y + pm->u.m[3][1]) / norm;
1468
1469     return pout;
1470 }
1471
1472 D3DXVECTOR2* WINAPI D3DXVec2TransformCoordArray(D3DXVECTOR2* out, UINT outstride, CONST D3DXVECTOR2* in, UINT instride, CONST D3DXMATRIX* matrix, UINT elements)
1473 {
1474     UINT i;
1475
1476     for (i = 0; i < elements; ++i) {
1477         D3DXVec2TransformCoord(
1478             (D3DXVECTOR2*)((char*)out + outstride * i),
1479             (CONST D3DXVECTOR2*)((const char*)in + instride * i),
1480             matrix);
1481     }
1482     return out;
1483 }
1484
1485 D3DXVECTOR2* WINAPI D3DXVec2TransformNormal(D3DXVECTOR2 *pout, CONST D3DXVECTOR2 *pv, CONST D3DXMATRIX *pm)
1486 {
1487     CONST D3DXVECTOR2 v = *pv;
1488     pout->x = pm->u.m[0][0] * v.x + pm->u.m[1][0] * v.y;
1489     pout->y = pm->u.m[0][1] * v.x + pm->u.m[1][1] * v.y;
1490     return pout;
1491 }
1492
1493 D3DXVECTOR2* WINAPI D3DXVec2TransformNormalArray(D3DXVECTOR2* out, UINT outstride, CONST D3DXVECTOR2 *in, UINT instride, CONST D3DXMATRIX *matrix, UINT elements)
1494 {
1495     UINT i;
1496
1497     for (i = 0; i < elements; ++i) {
1498         D3DXVec2TransformNormal(
1499             (D3DXVECTOR2*)((char*)out + outstride * i),
1500             (CONST D3DXVECTOR2*)((const char*)in + instride * i),
1501             matrix);
1502     }
1503     return out;
1504 }
1505
1506 /*_________________D3DXVec3_____________________*/
1507
1508 D3DXVECTOR3* WINAPI D3DXVec3BaryCentric(D3DXVECTOR3 *pout, CONST D3DXVECTOR3 *pv1, CONST D3DXVECTOR3 *pv2, CONST D3DXVECTOR3 *pv3, FLOAT f, FLOAT g)
1509 {
1510     pout->x = (1.0f-f-g) * (pv1->x) + f * (pv2->x) + g * (pv3->x);
1511     pout->y = (1.0f-f-g) * (pv1->y) + f * (pv2->y) + g * (pv3->y);
1512     pout->z = (1.0f-f-g) * (pv1->z) + f * (pv2->z) + g * (pv3->z);
1513     return pout;
1514 }
1515
1516 D3DXVECTOR3* WINAPI D3DXVec3CatmullRom( D3DXVECTOR3 *pout, CONST D3DXVECTOR3 *pv0, CONST D3DXVECTOR3 *pv1, CONST D3DXVECTOR3 *pv2, CONST D3DXVECTOR3 *pv3, FLOAT s)
1517 {
1518     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);
1519     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);
1520     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);
1521     return pout;
1522 }
1523
1524 D3DXVECTOR3* WINAPI D3DXVec3Hermite(D3DXVECTOR3 *pout, CONST D3DXVECTOR3 *pv1, CONST D3DXVECTOR3 *pt1, CONST D3DXVECTOR3 *pv2, CONST D3DXVECTOR3 *pt2, FLOAT s)
1525 {
1526     FLOAT h1, h2, h3, h4;
1527
1528     h1 = 2.0f * s * s * s - 3.0f * s * s + 1.0f;
1529     h2 = s * s * s - 2.0f * s * s + s;
1530     h3 = -2.0f * s * s * s + 3.0f * s * s;
1531     h4 = s * s * s - s * s;
1532
1533     pout->x = h1 * (pv1->x) + h2 * (pt1->x) + h3 * (pv2->x) + h4 * (pt2->x);
1534     pout->y = h1 * (pv1->y) + h2 * (pt1->y) + h3 * (pv2->y) + h4 * (pt2->y);
1535     pout->z = h1 * (pv1->z) + h2 * (pt1->z) + h3 * (pv2->z) + h4 * (pt2->z);
1536     return pout;
1537 }
1538
1539 D3DXVECTOR3* WINAPI D3DXVec3Normalize(D3DXVECTOR3 *pout, CONST D3DXVECTOR3 *pv)
1540 {
1541     D3DXVECTOR3 out;
1542     FLOAT norm;
1543
1544     norm = D3DXVec3Length(pv);
1545     if ( !norm )
1546     {
1547      out.x = 0.0f;
1548      out.y = 0.0f;
1549      out.z = 0.0f;
1550     }
1551     else
1552     {
1553      out.x = pv->x / norm;
1554      out.y = pv->y / norm;
1555      out.z = pv->z / norm;
1556     }
1557     *pout = out;
1558     return pout;
1559 }
1560
1561 D3DXVECTOR3* WINAPI D3DXVec3Project(D3DXVECTOR3 *pout, CONST D3DXVECTOR3 *pv, CONST D3DVIEWPORT9 *pviewport, CONST D3DXMATRIX *pprojection, CONST D3DXMATRIX *pview, CONST D3DXMATRIX *pworld)
1562 {
1563     D3DXMATRIX m;
1564     D3DXVECTOR3 out;
1565
1566     D3DXMatrixMultiply(&m, pworld, pview);
1567     D3DXMatrixMultiply(&m, &m, pprojection);
1568     D3DXVec3TransformCoord(&out, pv, &m);
1569     out.x = pviewport->X +  ( 1.0f + out.x ) * pviewport->Width / 2.0f;
1570     out.y = pviewport->Y +  ( 1.0f - out.y ) * pviewport->Height / 2.0f;
1571     out.z = pviewport->MinZ + out.z * ( pviewport->MaxZ - pviewport->MinZ );
1572     *pout = out;
1573     return pout;
1574 }
1575
1576 D3DXVECTOR3* WINAPI D3DXVec3ProjectArray(D3DXVECTOR3* out, UINT outstride, CONST D3DXVECTOR3* in, UINT instride, CONST D3DVIEWPORT9* viewport, CONST D3DXMATRIX* projection, CONST D3DXMATRIX* view, CONST D3DXMATRIX* world, UINT elements)
1577 {
1578     UINT i;
1579
1580     for (i = 0; i < elements; ++i) {
1581         D3DXVec3Project(
1582             (D3DXVECTOR3*)((char*)out + outstride * i),
1583             (CONST D3DXVECTOR3*)((const char*)in + instride * i),
1584             viewport, projection, view, world);
1585     }
1586     return out;
1587 }
1588
1589 D3DXVECTOR4* WINAPI D3DXVec3Transform(D3DXVECTOR4 *pout, CONST D3DXVECTOR3 *pv, CONST D3DXMATRIX *pm)
1590 {
1591     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];
1592     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];
1593     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];
1594     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];
1595     return pout;
1596 }
1597
1598 D3DXVECTOR4* WINAPI D3DXVec3TransformArray(D3DXVECTOR4* out, UINT outstride, CONST D3DXVECTOR3* in, UINT instride, CONST D3DXMATRIX* matrix, UINT elements)
1599 {
1600     UINT i;
1601
1602     for (i = 0; i < elements; ++i) {
1603         D3DXVec3Transform(
1604             (D3DXVECTOR4*)((char*)out + outstride * i),
1605             (CONST D3DXVECTOR3*)((const char*)in + instride * i),
1606             matrix);
1607     }
1608     return out;
1609 }
1610
1611 D3DXVECTOR3* WINAPI D3DXVec3TransformCoord(D3DXVECTOR3 *pout, CONST D3DXVECTOR3 *pv, CONST D3DXMATRIX *pm)
1612 {
1613     D3DXVECTOR3 out;
1614     FLOAT norm;
1615
1616     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];
1617
1618     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]) / norm;
1619     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]) / norm;
1620     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]) / norm;
1621
1622     *pout = out;
1623
1624     return pout;
1625 }
1626
1627 D3DXVECTOR3* WINAPI D3DXVec3TransformCoordArray(D3DXVECTOR3* out, UINT outstride, CONST D3DXVECTOR3* in, UINT instride, CONST D3DXMATRIX* matrix, UINT elements)
1628 {
1629     UINT i;
1630
1631     for (i = 0; i < elements; ++i) {
1632         D3DXVec3TransformCoord(
1633             (D3DXVECTOR3*)((char*)out + outstride * i),
1634             (CONST D3DXVECTOR3*)((const char*)in + instride * i),
1635             matrix);
1636     }
1637     return out;
1638 }
1639
1640 D3DXVECTOR3* WINAPI D3DXVec3TransformNormal(D3DXVECTOR3 *pout, CONST D3DXVECTOR3 *pv, CONST D3DXMATRIX *pm)
1641 {
1642     CONST D3DXVECTOR3 v = *pv;
1643     pout->x = pm->u.m[0][0] * v.x + pm->u.m[1][0] * v.y + pm->u.m[2][0] * v.z;
1644     pout->y = pm->u.m[0][1] * v.x + pm->u.m[1][1] * v.y + pm->u.m[2][1] * v.z;
1645     pout->z = pm->u.m[0][2] * v.x + pm->u.m[1][2] * v.y + pm->u.m[2][2] * v.z;
1646     return pout;
1647
1648 }
1649
1650 D3DXVECTOR3* WINAPI D3DXVec3TransformNormalArray(D3DXVECTOR3* out, UINT outstride, CONST D3DXVECTOR3* in, UINT instride, CONST D3DXMATRIX* matrix, UINT elements)
1651 {
1652     UINT i;
1653
1654     for (i = 0; i < elements; ++i) {
1655         D3DXVec3TransformNormal(
1656             (D3DXVECTOR3*)((char*)out + outstride * i),
1657             (CONST D3DXVECTOR3*)((const char*)in + instride * i),
1658             matrix);
1659     }
1660     return out;
1661 }
1662
1663 D3DXVECTOR3* WINAPI D3DXVec3Unproject(D3DXVECTOR3 *pout, CONST D3DXVECTOR3 *pv, CONST D3DVIEWPORT9 *pviewport, CONST D3DXMATRIX *pprojection, CONST D3DXMATRIX *pview, CONST D3DXMATRIX *pworld)
1664 {
1665     D3DXMATRIX m;
1666     D3DXVECTOR3 out;
1667
1668     if (pworld) {
1669         D3DXMatrixMultiply(&m, pworld, pview);
1670         D3DXMatrixMultiply(&m, &m, pprojection);
1671     } else {
1672         D3DXMatrixMultiply(&m, pview, pprojection);
1673     }
1674     D3DXMatrixInverse(&m, NULL, &m);
1675     out.x = 2.0f * ( pv->x - pviewport->X ) / pviewport->Width - 1.0f;
1676     out.y = 1.0f - 2.0f * ( pv->y - pviewport->Y ) / pviewport->Height;
1677     out.z = ( pv->z - pviewport->MinZ) / ( pviewport->MaxZ - pviewport->MinZ );
1678     D3DXVec3TransformCoord(&out, &out, &m);
1679     *pout = out;
1680     return pout;
1681 }
1682
1683 D3DXVECTOR3* WINAPI D3DXVec3UnprojectArray(D3DXVECTOR3* out, UINT outstride, CONST D3DXVECTOR3* in, UINT instride, CONST D3DVIEWPORT9* viewport, CONST D3DXMATRIX* projection, CONST D3DXMATRIX* view, CONST D3DXMATRIX* world, UINT elements)
1684 {
1685     UINT i;
1686
1687     for (i = 0; i < elements; ++i) {
1688         D3DXVec3Unproject(
1689             (D3DXVECTOR3*)((char*)out + outstride * i),
1690             (CONST D3DXVECTOR3*)((const char*)in + instride * i),
1691             viewport, projection, view, world);
1692     }
1693     return out;
1694 }
1695
1696 /*_________________D3DXVec4_____________________*/
1697
1698 D3DXVECTOR4* WINAPI D3DXVec4BaryCentric(D3DXVECTOR4 *pout, CONST D3DXVECTOR4 *pv1, CONST D3DXVECTOR4 *pv2, CONST D3DXVECTOR4 *pv3, FLOAT f, FLOAT g)
1699 {
1700     pout->x = (1.0f-f-g) * (pv1->x) + f * (pv2->x) + g * (pv3->x);
1701     pout->y = (1.0f-f-g) * (pv1->y) + f * (pv2->y) + g * (pv3->y);
1702     pout->z = (1.0f-f-g) * (pv1->z) + f * (pv2->z) + g * (pv3->z);
1703     pout->w = (1.0f-f-g) * (pv1->w) + f * (pv2->w) + g * (pv3->w);
1704     return pout;
1705 }
1706
1707 D3DXVECTOR4* WINAPI D3DXVec4CatmullRom(D3DXVECTOR4 *pout, CONST D3DXVECTOR4 *pv0, CONST D3DXVECTOR4 *pv1, CONST D3DXVECTOR4 *pv2, CONST D3DXVECTOR4 *pv3, FLOAT s)
1708 {
1709     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);
1710     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);
1711     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);
1712     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);
1713     return pout;
1714 }
1715
1716 D3DXVECTOR4* WINAPI D3DXVec4Cross(D3DXVECTOR4 *pout, CONST D3DXVECTOR4 *pv1, CONST D3DXVECTOR4 *pv2, CONST D3DXVECTOR4 *pv3)
1717 {
1718     D3DXVECTOR4 out;
1719     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);
1720     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));
1721     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);
1722     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));
1723     *pout = out;
1724     return pout;
1725 }
1726
1727 D3DXVECTOR4* WINAPI D3DXVec4Hermite(D3DXVECTOR4 *pout, CONST D3DXVECTOR4 *pv1, CONST D3DXVECTOR4 *pt1, CONST D3DXVECTOR4 *pv2, CONST D3DXVECTOR4 *pt2, FLOAT s)
1728 {
1729     FLOAT h1, h2, h3, h4;
1730
1731     h1 = 2.0f * s * s * s - 3.0f * s * s + 1.0f;
1732     h2 = s * s * s - 2.0f * s * s + s;
1733     h3 = -2.0f * s * s * s + 3.0f * s * s;
1734     h4 = s * s * s - s * s;
1735
1736     pout->x = h1 * (pv1->x) + h2 * (pt1->x) + h3 * (pv2->x) + h4 * (pt2->x);
1737     pout->y = h1 * (pv1->y) + h2 * (pt1->y) + h3 * (pv2->y) + h4 * (pt2->y);
1738     pout->z = h1 * (pv1->z) + h2 * (pt1->z) + h3 * (pv2->z) + h4 * (pt2->z);
1739     pout->w = h1 * (pv1->w) + h2 * (pt1->w) + h3 * (pv2->w) + h4 * (pt2->w);
1740     return pout;
1741 }
1742
1743 D3DXVECTOR4* WINAPI D3DXVec4Normalize(D3DXVECTOR4 *pout, CONST D3DXVECTOR4 *pv)
1744 {
1745     D3DXVECTOR4 out;
1746     FLOAT norm;
1747
1748     norm = D3DXVec4Length(pv);
1749
1750     out.x = pv->x / norm;
1751     out.y = pv->y / norm;
1752     out.z = pv->z / norm;
1753     out.w = pv->w / norm;
1754
1755     *pout = out;
1756     return pout;
1757 }
1758
1759 D3DXVECTOR4* WINAPI D3DXVec4Transform(D3DXVECTOR4 *pout, CONST D3DXVECTOR4 *pv, CONST D3DXMATRIX *pm)
1760 {
1761     D3DXVECTOR4 out;
1762     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;
1763     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;
1764     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;
1765     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;
1766     *pout = out;
1767     return pout;
1768 }
1769
1770 D3DXVECTOR4* WINAPI D3DXVec4TransformArray(D3DXVECTOR4* out, UINT outstride, CONST D3DXVECTOR4* in, UINT instride, CONST D3DXMATRIX* matrix, UINT elements)
1771 {
1772     UINT i;
1773
1774     for (i = 0; i < elements; ++i) {
1775         D3DXVec4Transform(
1776             (D3DXVECTOR4*)((char*)out + outstride * i),
1777             (CONST D3DXVECTOR4*)((const char*)in + instride * i),
1778             matrix);
1779     }
1780     return out;
1781 }
1782
1783 static inline unsigned short float_32_to_16(const float in)
1784 {
1785     int exp = 0, origexp;
1786     float tmp = fabs(in);
1787     int sign = (copysignf(1, in) < 0);
1788     unsigned int mantissa;
1789     unsigned short ret;
1790
1791     /* Deal with special numbers */
1792     if (isinf(in)) return (sign ? 0xffff : 0x7fff);
1793     if (isnan(in)) return (sign ? 0xffff : 0x7fff);
1794     if (in == 0.0f) return (sign ? 0x8000 : 0x0000);
1795
1796     if (tmp < powf(2, 10))
1797     {
1798         do
1799         {
1800             tmp *= 2.0f;
1801             exp--;
1802         } while (tmp < powf(2, 10));
1803     }
1804     else if (tmp >= powf(2, 11))
1805     {
1806         do
1807         {
1808             tmp /= 2.0f;
1809             exp++;
1810         } while (tmp >= powf(2, 11));
1811     }
1812
1813     exp += 10;  /* Normalize the mantissa */
1814     exp += 15;  /* Exponent is encoded with excess 15 */
1815
1816     origexp = exp;
1817
1818     mantissa = (unsigned int) tmp;
1819     if ((tmp - mantissa == 0.5f && mantissa % 2 == 1) || /* round half to even */
1820         (tmp - mantissa > 0.5f))
1821     {
1822         mantissa++; /* round to nearest, away from zero */
1823     }
1824     if (mantissa == 2048)
1825     {
1826         mantissa = 1024;
1827         exp++;
1828     }
1829
1830     if (exp > 31)
1831     {
1832         /* too big */
1833         ret = 0x7fff; /* INF */
1834     }
1835     else if (exp <= 0)
1836     {
1837         unsigned int rounding = 0;
1838
1839         /* Denormalized half float */
1840
1841         /* return 0x0000 (=0.0) for numbers too small to represent in half floats */
1842         if (exp < -11)
1843             return (sign ? 0x8000 : 0x0000);
1844
1845         exp = origexp;
1846
1847         /* the 13 extra bits from single precision are used for rounding */
1848         mantissa = (unsigned int)(tmp * powf(2, 13));
1849         mantissa >>= 1 - exp; /* denormalize */
1850
1851         mantissa -= ~(mantissa >> 13) & 1; /* round half to even */
1852         /* remove 13 least significant bits to get half float precision */
1853         mantissa >>= 12;
1854         rounding = mantissa & 1;
1855         mantissa >>= 1;
1856
1857         ret = mantissa + rounding;
1858     }
1859     else
1860     {
1861         ret = (exp << 10) | (mantissa & 0x3ff);
1862     }
1863
1864     ret |= ((sign ? 1 : 0) << 15); /* Add the sign */
1865     return ret;
1866 }
1867
1868 D3DXFLOAT16 *WINAPI D3DXFloat32To16Array(D3DXFLOAT16 *pout, CONST FLOAT *pin, UINT n)
1869 {
1870     unsigned int i;
1871
1872     for (i = 0; i < n; ++i)
1873     {
1874         pout[i].value = float_32_to_16(pin[i]);
1875     }
1876
1877     return pout;
1878 }
1879
1880 /* Native d3dx9's D3DXFloat16to32Array lacks support for NaN and Inf. Specifically, e = 16 is treated as a
1881  * regular number - e.g., 0x7fff is converted to 131008.0 and 0xffff to -131008.0. */
1882 static inline float float_16_to_32(const unsigned short in)
1883 {
1884     const unsigned short s = (in & 0x8000);
1885     const unsigned short e = (in & 0x7C00) >> 10;
1886     const unsigned short m = in & 0x3FF;
1887     const float sgn = (s ? -1.0f : 1.0f);
1888
1889     if (e == 0)
1890     {
1891         if (m == 0) return sgn * 0.0f; /* +0.0 or -0.0 */
1892         else return sgn * powf(2, -14.0f) * (m / 1024.0f);
1893     }
1894     else
1895     {
1896         return sgn * powf(2, e - 15.0f) * (1.0f + (m / 1024.0f));
1897     }
1898 }
1899
1900 FLOAT *WINAPI D3DXFloat16To32Array(FLOAT *pout, CONST D3DXFLOAT16 *pin, UINT n)
1901 {
1902     unsigned int i;
1903
1904     for (i = 0; i < n; ++i)
1905     {
1906         pout[i] = float_16_to_32(pin[i].value);
1907     }
1908
1909     return pout;
1910 }
1911
1912 FLOAT* WINAPI D3DXSHAdd(FLOAT *out, UINT order, const FLOAT *a, const FLOAT *b)
1913 {
1914     UINT i;
1915
1916     TRACE("out %p, order %u, a %p, b %p\n", out, order, a, b);
1917
1918     for (i = 0; i < order * order; i++)
1919         out[i] = a[i] + b[i];
1920
1921     return out;
1922 }