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 <stdio.h>
  21 #include <stdlib.h>
  22 #include <stdarg.h>
  23 #include <assert.h>
  24
  25 #define NONAMELESSUNION
  26
  27 #include "windef.h"
  28 #include "winbase.h"
  29 #include "wingdi.h"
  30 #include "d3dx8_private.h"
  31
  32 #include "wine/debug.h"
  33
  34 WINE_DEFAULT_DEBUG_CHANNEL(d3dx8);
  35
  36 static const ID3DXMatrixStackVtbl ID3DXMatrixStack_Vtbl;
  37
  38 /*_________________D3DXColor____________________*/
  39
  40 D3DXCOLOR* WINAPI D3DXColorAdjustContrast(D3DXCOLOR *pout, CONST D3DXCOLOR *pc, FLOAT s)
  41 {
  42     pout->r = 0.5f + s * (pc->r - 0.5f);
  43     pout->g = 0.5f + s * (pc->g - 0.5f);
  44     pout->b = 0.5f + s * (pc->b - 0.5f);
  45     pout->a = pc->a;
  46     return pout;
  47 }
  48
  49 D3DXCOLOR* WINAPI D3DXColorAdjustSaturation(D3DXCOLOR *pout, CONST D3DXCOLOR *pc, FLOAT s)
  50 {
  51     FLOAT grey;
  52
  53     grey = pc->r * 0.2125f + pc->g * 0.7154f + pc->b * 0.0721f;
  54     pout->r = grey + s * (pc->r - grey);
  55     pout->g = grey + s * (pc->g - grey);
  56     pout->b = grey + s * (pc->b - grey);
  57     pout->a = pc->a;
  58     return pout;
  59 }
  60
  61 /*_________________Misc__________________________*/
  62
  63 FLOAT WINAPI D3DXFresnelTerm(FLOAT costheta, FLOAT refractionindex)
  64 {
  65     FLOAT a, d, g, result;
  66
  67     g = sqrt(refractionindex * refractionindex + costheta * costheta - 1.0f);
  68     a = g + costheta;
  69     d = g - costheta;
  70     result = ( costheta * a - 1.0f ) * ( costheta * a - 1.0f ) / ( ( costheta * d + 1.0f ) * ( costheta * d + 1.0f ) ) + 1.0f;
  71     result = result * 0.5f * d * d / ( a * a );
  72     return result;
  73 }
  74
  75 /*_________________D3DXMatrix____________________*/
  76
  77 D3DXMATRIX* WINAPI D3DXMatrixAffineTransformation(D3DXMATRIX *pout, FLOAT scaling, CONST D3DXVECTOR3 *rotationcenter, CONST D3DXQUATERNION *rotation, CONST D3DXVECTOR3 *translation)
  78 {
  79     D3DXMATRIX m1, m2, m3, m4, m5;
  80
  81     D3DXMatrixScaling(&m1, scaling, scaling, scaling);
  82     if ( !rotationcenter )
  83     {
  84      D3DXMatrixIdentity(&m2);
  85      D3DXMatrixIdentity(&m4);
  86     }
  87     else
  88     {
  89      D3DXMatrixTranslation(&m2, -rotationcenter->x, -rotationcenter->y, -rotationcenter->z);
  90      D3DXMatrixTranslation(&m4, rotationcenter->x, rotationcenter->y, rotationcenter->z);
  91     }
  92     if ( !rotation )
  93     {
  94      D3DXMatrixIdentity(&m3);
  95     }
  96     else
  97     {
  98      D3DXMatrixRotationQuaternion(&m3, rotation);
  99     }
 100     if ( !translation )
 101     {
 102      D3DXMatrixIdentity(&m5);
 103     }
 104     else
 105     {
 106      D3DXMatrixTranslation(&m5, translation->x, translation->y, translation->z);
 107     }
 108     D3DXMatrixMultiply(&m1, &m1, &m2);
 109     D3DXMatrixMultiply(&m1, &m1, &m3);
 110     D3DXMatrixMultiply(&m1, &m1, &m4);
 111     D3DXMatrixMultiply(pout, &m1, &m5);
 112     return pout;
 113 }
 114
 115 FLOAT WINAPI D3DXMatrixfDeterminant(CONST D3DXMATRIX *pm)
 116 {
 117     D3DXVECTOR4 minor, v1, v2, v3;
 118     FLOAT det;
 119
 120     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];
 121     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];
 122     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];
 123     D3DXVec4Cross(&minor, &v1, &v2, &v3);
 124     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);
 125     return det;
 126 }
 127
 128 D3DXMATRIX* WINAPI D3DXMatrixInverse(D3DXMATRIX *pout, FLOAT *pdeterminant, CONST D3DXMATRIX *pm)
 129 {
 130     int a, i, j;
 131     D3DXMATRIX out;
 132     D3DXVECTOR4 v, vec[3];
 133     FLOAT det;
 134
 135     det = D3DXMatrixfDeterminant(pm);
 136     if ( !det ) return NULL;
 137     if ( pdeterminant ) *pdeterminant = det;
 138     for (i=0; i<4; i++)
 139     {
 140      for (j=0; j<4; j++)
 141      {
 142       if (j != i )
 143       {
 144        a = j;
 145        if ( j > i ) a = a-1;
 146        vec[a].x = pm->u.m[j][0];
 147        vec[a].y = pm->u.m[j][1];
 148        vec[a].z = pm->u.m[j][2];
 149        vec[a].w = pm->u.m[j][3];
 150       }
 151      }
 152     D3DXVec4Cross(&v, &vec[0], &vec[1], &vec[2]);
 153     out.u.m[0][i] = pow(-1.0f, i) * v.x / det;
 154     out.u.m[1][i] = pow(-1.0f, i) * v.y / det;
 155     out.u.m[2][i] = pow(-1.0f, i) * v.z / det;
 156     out.u.m[3][i] = pow(-1.0f, i) * v.w / det;
 157    }
 158    *pout = out;
 159    return pout;
 160 }
 161
 162 D3DXMATRIX* WINAPI D3DXMatrixLookAtLH(D3DXMATRIX *pout, CONST D3DXVECTOR3 *peye, CONST D3DXVECTOR3 *pat, CONST D3DXVECTOR3 *pup)
 163 {
 164     D3DXVECTOR3 right, rightn, up, upn, vec, vec2;
 165
 166     D3DXVec3Subtract(&vec2, pat, peye);
 167     D3DXVec3Normalize(&vec, &vec2);
 168     D3DXVec3Cross(&right, pup, &vec);
 169     D3DXVec3Cross(&up, &vec, &right);
 170     D3DXVec3Normalize(&rightn, &right);
 171     D3DXVec3Normalize(&upn, &up);
 172     pout->u.m[0][0] = rightn.x;
 173     pout->u.m[1][0] = rightn.y;
 174     pout->u.m[2][0] = rightn.z;
 175     pout->u.m[3][0] = -D3DXVec3Dot(&rightn,peye);
 176     pout->u.m[0][1] = upn.x;
 177     pout->u.m[1][1] = upn.y;
 178     pout->u.m[2][1] = upn.z;
 179     pout->u.m[3][1] = -D3DXVec3Dot(&upn, peye);
 180     pout->u.m[0][2] = vec.x;
 181     pout->u.m[1][2] = vec.y;
 182     pout->u.m[2][2] = vec.z;
 183     pout->u.m[3][2] = -D3DXVec3Dot(&vec, peye);
 184     pout->u.m[0][3] = 0.0f;
 185     pout->u.m[1][3] = 0.0f;
 186     pout->u.m[2][3] = 0.0f;
 187     pout->u.m[3][3] = 1.0f;
 188     return pout;
 189 }
 190
 191 D3DXMATRIX* WINAPI D3DXMatrixLookAtRH(D3DXMATRIX *pout, CONST D3DXVECTOR3 *peye, CONST D3DXVECTOR3 *pat, CONST D3DXVECTOR3 *pup)
 192 {
 193     D3DXVECTOR3 right, rightn, up, upn, vec, vec2;
 194
 195     D3DXVec3Subtract(&vec2, pat, peye);
 196     D3DXVec3Normalize(&vec, &vec2);
 197     D3DXVec3Cross(&right, pup, &vec);
 198     D3DXVec3Cross(&up, &vec, &right);
 199     D3DXVec3Normalize(&rightn, &right);
 200     D3DXVec3Normalize(&upn, &up);
 201     pout->u.m[0][0] = -rightn.x;
 202     pout->u.m[1][0] = -rightn.y;
 203     pout->u.m[2][0] = -rightn.z;
 204     pout->u.m[3][0] = D3DXVec3Dot(&rightn,peye);
 205     pout->u.m[0][1] = upn.x;
 206     pout->u.m[1][1] = upn.y;
 207     pout->u.m[2][1] = upn.z;
 208     pout->u.m[3][1] = -D3DXVec3Dot(&upn, peye);
 209     pout->u.m[0][2] = -vec.x;
 210     pout->u.m[1][2] = -vec.y;
 211     pout->u.m[2][2] = -vec.z;
 212     pout->u.m[3][2] = D3DXVec3Dot(&vec, peye);
 213     pout->u.m[0][3] = 0.0f;
 214     pout->u.m[1][3] = 0.0f;
 215     pout->u.m[2][3] = 0.0f;
 216     pout->u.m[3][3] = 1.0f;
 217     return pout;
 218 }
 219
 220 D3DXMATRIX* WINAPI D3DXMatrixMultiply(D3DXMATRIX *pout, CONST D3DXMATRIX *pm1, CONST D3DXMATRIX *pm2)
 221 {
 222     D3DXMATRIX out;
 223     int i,j;
 224
 225     for (i=0; i<4; i++)
 226     {
 227      for (j=0; j<4; j++)
 228      {
 229       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];
 230      }
 231     }
 232     *pout = out;
 233     return pout;
 234 }
 235
 236 D3DXMATRIX* WINAPI D3DXMatrixMultiplyTranspose(D3DXMATRIX *pout, CONST D3DXMATRIX *pm1, CONST D3DXMATRIX *pm2)
 237 {
 238     D3DXMatrixMultiply(pout, pm1, pm2);
 239     D3DXMatrixTranspose(pout, pout);
 240     return pout;
 241 }
 242
 243 D3DXMATRIX* WINAPI D3DXMatrixOrthoLH(D3DXMATRIX *pout, FLOAT w, FLOAT h, FLOAT zn, FLOAT zf)
 244 {
 245     D3DXMatrixIdentity(pout);
 246     pout->u.m[0][0] = 2.0f / w;
 247     pout->u.m[1][1] = 2.0f / h;
 248     pout->u.m[2][2] = 1.0f / (zf - zn);
 249     pout->u.m[3][2] = zn / (zn - zf);
 250     return pout;
 251 }
 252
 253 D3DXMATRIX* WINAPI D3DXMatrixOrthoOffCenterLH(D3DXMATRIX *pout, FLOAT l, FLOAT r, FLOAT b, FLOAT t, FLOAT zn, FLOAT zf)
 254 {
 255     D3DXMatrixIdentity(pout);
 256     pout->u.m[0][0] = 2.0f / (r - l);
 257     pout->u.m[1][1] = 2.0f / (t - b);
 258     pout->u.m[2][2] = 1.0f / (zf -zn);
 259     pout->u.m[3][0] = -1.0f -2.0f *l / (r - l);
 260     pout->u.m[3][1] = 1.0f + 2.0f * t / (b - t);
 261     pout->u.m[3][2] = zn / (zn -zf);
 262     return pout;
 263 }
 264
 265 D3DXMATRIX* WINAPI D3DXMatrixOrthoOffCenterRH(D3DXMATRIX *pout, FLOAT l, FLOAT r, FLOAT b, FLOAT t, FLOAT zn, FLOAT zf)
 266 {
 267     D3DXMatrixIdentity(pout);
 268     pout->u.m[0][0] = 2.0f / (r - l);
 269     pout->u.m[1][1] = 2.0f / (t - b);
 270     pout->u.m[2][2] = 1.0f / (zn -zf);
 271     pout->u.m[3][0] = -1.0f -2.0f *l / (r - l);
 272     pout->u.m[3][1] = 1.0f + 2.0f * t / (b - t);
 273     pout->u.m[3][2] = zn / (zn -zf);
 274     return pout;
 275 }
 276
 277 D3DXMATRIX* WINAPI D3DXMatrixOrthoRH(D3DXMATRIX *pout, FLOAT w, FLOAT h, FLOAT zn, FLOAT zf)
 278 {
 279     D3DXMatrixIdentity(pout);
 280     pout->u.m[0][0] = 2.0f / w;
 281     pout->u.m[1][1] = 2.0f / h;
 282     pout->u.m[2][2] = 1.0f / (zn - zf);
 283     pout->u.m[3][2] = zn / (zn - zf);
 284     return pout;
 285 }
 286
 287 D3DXMATRIX* WINAPI D3DXMatrixPerspectiveFovLH(D3DXMATRIX *pout, FLOAT fovy, FLOAT aspect, FLOAT zn, FLOAT zf)
 288 {
 289     D3DXMatrixIdentity(pout);
 290     pout->u.m[0][0] = 1.0f / (aspect * tan(fovy/2.0f));
 291     pout->u.m[1][1] = 1.0f / tan(fovy/2.0f);
 292     pout->u.m[2][2] = zf / (zf - zn);
 293     pout->u.m[2][3] = 1.0f;
 294     pout->u.m[3][2] = (zf * zn) / (zn - zf);
 295     pout->u.m[3][3] = 0.0f;
 296     return pout;
 297 }
 298
 299 D3DXMATRIX* WINAPI D3DXMatrixPerspectiveFovRH(D3DXMATRIX *pout, FLOAT fovy, FLOAT aspect, FLOAT zn, FLOAT zf)
 300 {
 301     D3DXMatrixIdentity(pout);
 302     pout->u.m[0][0] = 1.0f / (aspect * tan(fovy/2.0f));
 303     pout->u.m[1][1] = 1.0f / tan(fovy/2.0f);
 304     pout->u.m[2][2] = zf / (zn - zf);
 305     pout->u.m[2][3] = -1.0f;
 306     pout->u.m[3][2] = (zf * zn) / (zn - zf);
 307     pout->u.m[3][3] = 0.0f;
 308     return pout;
 309 }
 310
 311 D3DXMATRIX* WINAPI D3DXMatrixPerspectiveLH(D3DXMATRIX *pout, FLOAT w, FLOAT h, FLOAT zn, FLOAT zf)
 312 {
 313     D3DXMatrixIdentity(pout);
 314     pout->u.m[0][0] = 2.0f * zn / w;
 315     pout->u.m[1][1] = 2.0f * zn / h;
 316     pout->u.m[2][2] = zf / (zf - zn);
 317     pout->u.m[3][2] = (zn * zf) / (zn - zf);
 318     pout->u.m[2][3] = 1.0f;
 319     pout->u.m[3][3] = 0.0f;
 320     return pout;
 321 }
 322
 323 D3DXMATRIX* WINAPI D3DXMatrixPerspectiveOffCenterLH(D3DXMATRIX *pout, FLOAT l, FLOAT r, FLOAT b, FLOAT t, FLOAT zn, FLOAT zf)
 324 {
 325     D3DXMatrixIdentity(pout);
 326     pout->u.m[0][0] = 2.0f * zn / (r - l);
 327     pout->u.m[1][1] = -2.0f * zn / (b - t);
 328     pout->u.m[2][0] = -1.0f - 2.0f * l / (r - l);
 329     pout->u.m[2][1] = 1.0f + 2.0f * t / (b - t);
 330     pout->u.m[2][2] = - zf / (zn - zf);
 331     pout->u.m[3][2] = (zn * zf) / (zn -zf);
 332     pout->u.m[2][3] = 1.0f;
 333     pout->u.m[3][3] = 0.0f;
 334     return pout;
 335 }
 336
 337 D3DXMATRIX* WINAPI D3DXMatrixPerspectiveOffCenterRH(D3DXMATRIX *pout, FLOAT l, FLOAT r, FLOAT b, FLOAT t, FLOAT zn, FLOAT zf)
 338 {
 339     D3DXMatrixIdentity(pout);
 340     pout->u.m[0][0] = 2.0f * zn / (r - l);
 341     pout->u.m[1][1] = -2.0f * zn / (b - t);
 342     pout->u.m[2][0] = 1.0f + 2.0f * l / (r - l);
 343     pout->u.m[2][1] = -1.0f -2.0f * t / (b - t);
 344     pout->u.m[2][2] = zf / (zn - zf);
 345     pout->u.m[3][2] = (zn * zf) / (zn -zf);
 346     pout->u.m[2][3] = -1.0f;
 347     pout->u.m[3][3] = 0.0f;
 348     return pout;
 349 }
 350
 351 D3DXMATRIX* WINAPI D3DXMatrixPerspectiveRH(D3DXMATRIX *pout, FLOAT w, FLOAT h, FLOAT zn, FLOAT zf)
 352 {
 353     D3DXMatrixIdentity(pout);
 354     pout->u.m[0][0] = 2.0f * zn / w;
 355     pout->u.m[1][1] = 2.0f * zn / h;
 356     pout->u.m[2][2] = zf / (zn - zf);
 357     pout->u.m[3][2] = (zn * zf) / (zn - zf);
 358     pout->u.m[2][3] = -1.0f;
 359     pout->u.m[3][3] = 0.0f;
 360     return pout;
 361 }
 362
 363 D3DXMATRIX* WINAPI D3DXMatrixReflect(D3DXMATRIX *pout, CONST D3DXPLANE *pplane)
 364 {
 365     D3DXPLANE Nplane;
 366
 367     D3DXPlaneNormalize(&Nplane, pplane);
 368     D3DXMatrixIdentity(pout);
 369     pout->u.m[0][0] = 1.0f - 2.0f * Nplane.a * Nplane.a;
 370     pout->u.m[0][1] = -2.0f * Nplane.a * Nplane.b;
 371     pout->u.m[0][2] = -2.0f * Nplane.a * Nplane.c;
 372     pout->u.m[1][0] = -2.0f * Nplane.a * Nplane.b;
 373     pout->u.m[1][1] = 1.0f - 2.0f * Nplane.b * Nplane.b;
 374     pout->u.m[1][2] = -2.0f * Nplane.b * Nplane.c;
 375     pout->u.m[2][0] = -2.0f * Nplane.c * Nplane.a;
 376     pout->u.m[2][1] = -2.0f * Nplane.c * Nplane.b;
 377     pout->u.m[2][2] = 1.0f - 2.0f * Nplane.c * Nplane.c;
 378     pout->u.m[3][0] = -2.0f * Nplane.d * Nplane.a;
 379     pout->u.m[3][1] = -2.0f * Nplane.d * Nplane.b;
 380     pout->u.m[3][2] = -2.0f * Nplane.d * Nplane.c;
 381     return pout;
 382 }
 383
 384 D3DXMATRIX* WINAPI D3DXMatrixRotationAxis(D3DXMATRIX *pout, CONST D3DXVECTOR3 *pv, FLOAT angle)
 385 {
 386     D3DXVECTOR3 v;
 387
 388     D3DXVec3Normalize(&v,pv);
 389     D3DXMatrixIdentity(pout);
 390     pout->u.m[0][0] = (1.0f - cos(angle)) * v.x * v.x + cos(angle);
 391     pout->u.m[1][0] = (1.0f - cos(angle)) * v.x * v.y - sin(angle) * v.z;
 392     pout->u.m[2][0] = (1.0f - cos(angle)) * v.x * v.z + sin(angle) * v.y;
 393     pout->u.m[0][1] = (1.0f - cos(angle)) * v.y * v.x + sin(angle) * v.z;
 394     pout->u.m[1][1] = (1.0f - cos(angle)) * v.y * v.y + cos(angle);
 395     pout->u.m[2][1] = (1.0f - cos(angle)) * v.y * v.z - sin(angle) * v.x;
 396     pout->u.m[0][2] = (1.0f - cos(angle)) * v.z * v.x - sin(angle) * v.y;
 397     pout->u.m[1][2] = (1.0f - cos(angle)) * v.z * v.y + sin(angle) * v.x;
 398     pout->u.m[2][2] = (1.0f - cos(angle)) * v.z * v.z + cos(angle);
 399     return pout;
 400 }
 401
 402 D3DXMATRIX* WINAPI D3DXMatrixRotationQuaternion(D3DXMATRIX *pout, CONST D3DXQUATERNION *pq)
 403 {
 404     D3DXMatrixIdentity(pout);
 405     pout->u.m[0][0] = 1.0f - 2.0f * (pq->y * pq->y + pq->z * pq->z);
 406     pout->u.m[0][1] = 2.0f * (pq->x *pq->y + pq->z * pq->w);
 407     pout->u.m[0][2] = 2.0f * (pq->x * pq->z - pq->y * pq->w);
 408     pout->u.m[1][0] = 2.0f * (pq->x * pq->y - pq->z * pq->w);
 409     pout->u.m[1][1] = 1.0f - 2.0f * (pq->x * pq->x + pq->z * pq->z);
 410     pout->u.m[1][2] = 2.0f * (pq->y *pq->z + pq->x *pq->w);
 411     pout->u.m[2][0] = 2.0f * (pq->x * pq->z + pq->y * pq->w);
 412     pout->u.m[2][1] = 2.0f * (pq->y *pq->z - pq->x *pq->w);
 413     pout->u.m[2][2] = 1.0f - 2.0f * (pq->x * pq->x + pq->y * pq->y);
 414     return pout;
 415 }
 416
 417 D3DXMATRIX* WINAPI D3DXMatrixRotationX(D3DXMATRIX *pout, FLOAT angle)
 418 {
 419     D3DXMatrixIdentity(pout);
 420     pout->u.m[1][1] = cos(angle);
 421     pout->u.m[2][2] = cos(angle);
 422     pout->u.m[1][2] = sin(angle);
 423     pout->u.m[2][1] = -sin(angle);
 424     return pout;
 425 }
 426
 427 D3DXMATRIX* WINAPI D3DXMatrixRotationY(D3DXMATRIX *pout, FLOAT angle)
 428 {
 429     D3DXMatrixIdentity(pout);
 430     pout->u.m[0][0] = cos(angle);
 431     pout->u.m[2][2] = cos(angle);
 432     pout->u.m[0][2] = -sin(angle);
 433     pout->u.m[2][0] = sin(angle);
 434     return pout;
 435 }
 436
 437 D3DXMATRIX* WINAPI D3DXMatrixRotationYawPitchRoll(D3DXMATRIX *pout, FLOAT yaw, FLOAT pitch, FLOAT roll)
 438 {
 439     D3DXMATRIX m;
 440
 441     D3DXMatrixIdentity(pout);
 442     D3DXMatrixRotationZ(&m, roll);
 443     D3DXMatrixMultiply(pout, pout, &m);
 444     D3DXMatrixRotationX(&m, pitch);
 445     D3DXMatrixMultiply(pout, pout, &m);
 446     D3DXMatrixRotationY(&m, yaw);
 447     D3DXMatrixMultiply(pout, pout, &m);
 448     return pout;
 449 }
 450 D3DXMATRIX* WINAPI D3DXMatrixRotationZ(D3DXMATRIX *pout, FLOAT angle)
 451 {
 452     D3DXMatrixIdentity(pout);
 453     pout->u.m[0][0] = cos(angle);
 454     pout->u.m[1][1] = cos(angle);
 455     pout->u.m[0][1] = sin(angle);
 456     pout->u.m[1][0] = -sin(angle);
 457     return pout;
 458 }
 459
 460 D3DXMATRIX* WINAPI D3DXMatrixScaling(D3DXMATRIX *pout, FLOAT sx, FLOAT sy, FLOAT sz)
 461 {
 462     D3DXMatrixIdentity(pout);
 463     pout->u.m[0][0] = sx;
 464     pout->u.m[1][1] = sy;
 465     pout->u.m[2][2] = sz;
 466     return pout;
 467 }
 468
 469 D3DXMATRIX* WINAPI D3DXMatrixShadow(D3DXMATRIX *pout, CONST D3DXVECTOR4 *plight, CONST D3DXPLANE *pplane)
 470 {
 471     D3DXPLANE Nplane;
 472     FLOAT dot;
 473
 474     D3DXPlaneNormalize(&Nplane, pplane);
 475     dot = D3DXPlaneDot(&Nplane, plight);
 476     pout->u.m[0][0] = dot - Nplane.a * plight->x;
 477     pout->u.m[0][1] = -Nplane.a * plight->y;
 478     pout->u.m[0][2] = -Nplane.a * plight->z;
 479     pout->u.m[0][3] = -Nplane.a * plight->w;
 480     pout->u.m[1][0] = -Nplane.b * plight->x;
 481     pout->u.m[1][1] = dot - Nplane.b * plight->y;
 482     pout->u.m[1][2] = -Nplane.b * plight->z;
 483     pout->u.m[1][3] = -Nplane.b * plight->w;
 484     pout->u.m[2][0] = -Nplane.c * plight->x;
 485     pout->u.m[2][1] = -Nplane.c * plight->y;
 486     pout->u.m[2][2] = dot - Nplane.c * plight->z;
 487     pout->u.m[2][3] = -Nplane.c * plight->w;
 488     pout->u.m[3][0] = -Nplane.d * plight->x;
 489     pout->u.m[3][1] = -Nplane.d * plight->y;
 490     pout->u.m[3][2] = -Nplane.d * plight->z;
 491     pout->u.m[3][3] = dot - Nplane.d * plight->w;
 492     return pout;
 493 }
 494
 495 D3DXMATRIX* WINAPI D3DXMatrixTransformation(D3DXMATRIX *pout, CONST D3DXVECTOR3 *pscalingcenter, CONST D3DXQUATERNION *pscalingrotation, CONST D3DXVECTOR3 *pscaling, CONST D3DXVECTOR3 *protationcenter, CONST D3DXQUATERNION *protation, CONST D3DXVECTOR3 *ptranslation)
 496 {
 497     D3DXMATRIX m1, m2, m3, m4, m5, m6, m7;
 498     D3DXQUATERNION prc;
 499     D3DXVECTOR3 psc, pt;
 500
 501     if ( !pscalingcenter )
 502     {
 503      psc.x = 0.0f;
 504      psc.y = 0.0f;
 505      psc.z = 0.0f;
 506     }
 507     else
 508     {
 509      psc.x = pscalingcenter->x;
 510      psc.y = pscalingcenter->y;
 511      psc.z = pscalingcenter->z;
 512     }
 513     if ( !protationcenter )
 514     {
 515      prc.x = 0.0f;
 516      prc.y = 0.0f;
 517      prc.z = 0.0f;
 518     }
 519     else
 520     {
 521      prc.x = protationcenter->x;
 522      prc.y = protationcenter->y;
 523      prc.z = protationcenter->z;
 524     }
 525     if ( !ptranslation )
 526     {
 527      pt.x = 0.0f;
 528      pt.y = 0.0f;
 529      pt.z = 0.0f;
 530     }
 531     else
 532     {
 533      pt.x = ptranslation->x;
 534      pt.y = ptranslation->y;
 535      pt.z = ptranslation->z;
 536     }
 537     D3DXMatrixTranslation(&m1, -psc.x, -psc.y, -psc.z);
 538     if ( !pscalingrotation )
 539     {
 540      D3DXMatrixIdentity(&m2);
 541      D3DXMatrixIdentity(&m4);
 542     }
 543     else
 544     {
 545      D3DXMatrixRotationQuaternion(&m4, pscalingrotation);
 546      D3DXMatrixInverse(&m2, NULL, &m4);
 547     }
 548     if ( !pscaling )
 549     {
 550      D3DXMatrixIdentity(&m3);
 551     }
 552     else
 553     {
 554     D3DXMatrixScaling(&m3, pscaling->x, pscaling->y, pscaling->z);
 555     }
 556     if ( !protation )
 557     {
 558      D3DXMatrixIdentity(&m6);
 559     }
 560     else
 561     {
 562      D3DXMatrixRotationQuaternion(&m6, protation);
 563     }
 564     D3DXMatrixTranslation(&m5, psc.x - prc.x,  psc.y - prc.y,  psc.z - prc.z);
 565     D3DXMatrixTranslation(&m7, prc.x + pt.x, prc.y + pt.y, prc.z + pt.z);
 566     D3DXMatrixMultiply(&m1, &m1, &m2);
 567     D3DXMatrixMultiply(&m1, &m1, &m3);
 568     D3DXMatrixMultiply(&m1, &m1, &m4);
 569     D3DXMatrixMultiply(&m1, &m1, &m5);
 570     D3DXMatrixMultiply(&m1, &m1, &m6);
 571     D3DXMatrixMultiply(pout, &m1, &m7);
 572     return pout;
 573 }
 574
 575 D3DXMATRIX* WINAPI D3DXMatrixTranslation(D3DXMATRIX *pout, FLOAT x, FLOAT y, FLOAT z)
 576 {
 577     D3DXMatrixIdentity(pout);
 578     pout->u.m[3][0] = x;
 579     pout->u.m[3][1] = y;
 580     pout->u.m[3][2] = z;
 581     return pout;
 582 }
 583
 584 D3DXMATRIX* WINAPI D3DXMatrixTranspose(D3DXMATRIX *pout, CONST D3DXMATRIX *pm)
 585 {
 586     CONST D3DXMATRIX m = *pm;
 587     int i,j;
 588
 589     for (i=0; i<4; i++)
 590     {
 591      for (j=0; j<4; j++)
 592      {
 593       pout->u.m[i][j] = m.u.m[j][i];
 594      }
 595     }
 596     return pout;
 597 }
 598
 599 /*_________________D3DXMatrixStack____________________*/
 600
 601 static const unsigned int INITIAL_STACK_SIZE = 32;
 602
 603 HRESULT WINAPI D3DXCreateMatrixStack(DWORD flags, LPD3DXMATRIXSTACK* ppstack)
 604 {
 605     ID3DXMatrixStackImpl* object;
 606
 607     TRACE("flags %#x, ppstack %p\n", flags, ppstack);
 608
 609     object = HeapAlloc(GetProcessHeap(), HEAP_ZERO_MEMORY, sizeof(ID3DXMatrixStackImpl));
 610     if ( object == NULL )
 611     {
 612      *ppstack = NULL;
 613      return E_OUTOFMEMORY;
 614     }
 615     object->lpVtbl = &ID3DXMatrixStack_Vtbl;
 616     object->ref = 1;
 617
 618     object->stack = HeapAlloc(GetProcessHeap(), 0, INITIAL_STACK_SIZE * sizeof(D3DXMATRIX));
 619     if (!object->stack)
 620     {
 621         HeapFree(GetProcessHeap(), 0, object);
 622         *ppstack = NULL;
 623         return E_OUTOFMEMORY;
 624     }
 625
 626     object->current = 0;
 627     object->stack_size = INITIAL_STACK_SIZE;
 628     D3DXMatrixIdentity(&object->stack[0]);
 629
 630     TRACE("Created matrix stack %p\n", object);
 631
 632     *ppstack = (LPD3DXMATRIXSTACK)object;
 633     return D3D_OK;
 634 }
 635
 636 static HRESULT WINAPI ID3DXMatrixStackImpl_QueryInterface(ID3DXMatrixStack *iface, REFIID riid, void **ppobj)
 637 {
 638     ID3DXMatrixStackImpl *This = (ID3DXMatrixStackImpl *)iface;
 639     if (IsEqualGUID(riid, &IID_IUnknown) || IsEqualGUID(riid, &IID_ID3DXMatrixStack))
 640     {
 641      ID3DXMatrixStack_AddRef(iface);
 642      *ppobj = This;
 643      return S_OK;
 644     }
 645     *ppobj = NULL;
 646     ERR("(%p)->(%s,%p),not found\n",This,debugstr_guid(riid),ppobj);
 647     return E_NOINTERFACE;
 648 }
 649
 650 static ULONG WINAPI ID3DXMatrixStackImpl_AddRef(ID3DXMatrixStack *iface)
 651 {
 652     ID3DXMatrixStackImpl *This = (ID3DXMatrixStackImpl *)iface;
 653     ULONG ref = InterlockedIncrement(&This->ref);
 654     TRACE("(%p) : AddRef from %d\n", This, ref - 1);
 655     return ref;
 656 }
 657
 658 static ULONG WINAPI ID3DXMatrixStackImpl_Release(ID3DXMatrixStack* iface)
 659 {
 660     ID3DXMatrixStackImpl *This = (ID3DXMatrixStackImpl *)iface;
 661     ULONG ref = InterlockedDecrement(&This->ref);
 662     if (!ref)
 663     {
 664         HeapFree(GetProcessHeap(), 0, This->stack);
 665         HeapFree(GetProcessHeap(), 0, This);
 666     }
 667     TRACE("(%p) : ReleaseRef to %d\n", This, ref);
 668     return ref;
 669 }
 670
 671 static D3DXMATRIX* WINAPI ID3DXMatrixStackImpl_GetTop(ID3DXMatrixStack *iface)
 672 {
 673     ID3DXMatrixStackImpl *This = (ID3DXMatrixStackImpl *)iface;
 674
 675     TRACE("iface %p\n", iface);
 676
 677     return &This->stack[This->current];
 678 }
 679
 680 static HRESULT WINAPI ID3DXMatrixStackImpl_LoadIdentity(ID3DXMatrixStack *iface)
 681 {
 682     ID3DXMatrixStackImpl *This = (ID3DXMatrixStackImpl *)iface;
 683
 684     TRACE("iface %p\n", iface);
 685
 686     D3DXMatrixIdentity(&This->stack[This->current]);
 687
 688     return D3D_OK;
 689 }
 690
 691 static HRESULT WINAPI ID3DXMatrixStackImpl_LoadMatrix(ID3DXMatrixStack *iface, CONST D3DXMATRIX *pm)
 692 {
 693     ID3DXMatrixStackImpl *This = (ID3DXMatrixStackImpl *)iface;
 694
 695     TRACE("iface %p\n", iface);
 696
 697     if (!pm) return D3DERR_INVALIDCALL;
 698     This->stack[This->current] = *pm;
 699
 700     return D3D_OK;
 701 }
 702
 703 static HRESULT WINAPI ID3DXMatrixStackImpl_MultMatrix(ID3DXMatrixStack *iface, CONST D3DXMATRIX *pm)
 704 {
 705     ID3DXMatrixStackImpl *This = (ID3DXMatrixStackImpl *)iface;
 706
 707     TRACE("iface %p\n", iface);
 708
 709     if (!pm) return D3DERR_INVALIDCALL;
 710     D3DXMatrixMultiply(&This->stack[This->current], &This->stack[This->current], pm);
 711
 712     return D3D_OK;
 713 }
 714
 715 static HRESULT WINAPI ID3DXMatrixStackImpl_MultMatrixLocal(ID3DXMatrixStack *iface, CONST D3DXMATRIX *pm)
 716 {
 717     ID3DXMatrixStackImpl *This = (ID3DXMatrixStackImpl *)iface;
 718
 719     TRACE("iface %p\n", iface);
 720
 721     if (!pm) return D3DERR_INVALIDCALL;
 722     D3DXMatrixMultiply(&This->stack[This->current], pm, &This->stack[This->current]);
 723
 724     return D3D_OK;
 725 }
 726
 727 static HRESULT WINAPI ID3DXMatrixStackImpl_Pop(ID3DXMatrixStack *iface)
 728 {
 729     ID3DXMatrixStackImpl *This = (ID3DXMatrixStackImpl *)iface;
 730
 731     TRACE("iface %p\n", iface);
 732
 733     /* Popping the last element on the stack returns D3D_OK, but does nothing. */
 734     if (!This->current) return D3D_OK;
 735
 736     if (This->current <= This->stack_size / 4 && This->stack_size >= INITIAL_STACK_SIZE * 2)
 737     {
 738         unsigned int new_size;
 739         D3DXMATRIX *new_stack;
 740
 741         new_size = This->stack_size / 2;
 742         new_stack = HeapReAlloc(GetProcessHeap(), 0, This->stack, new_size * sizeof(D3DXMATRIX));
 743         if (new_stack)
 744         {
 745             This->stack_size = new_size;
 746             This->stack = new_stack;
 747         }
 748     }
 749
 750     --This->current;
 751
 752     return D3D_OK;
 753 }
 754
 755 static HRESULT WINAPI ID3DXMatrixStackImpl_Push(ID3DXMatrixStack *iface)
 756 {
 757     ID3DXMatrixStackImpl *This = (ID3DXMatrixStackImpl *)iface;
 758
 759     TRACE("iface %p\n", iface);
 760
 761     if (This->current == This->stack_size - 1)
 762     {
 763         unsigned int new_size;
 764         D3DXMATRIX *new_stack;
 765
 766         if (This->stack_size > UINT_MAX / 2) return E_OUTOFMEMORY;
 767
 768         new_size = This->stack_size * 2;
 769         new_stack = HeapReAlloc(GetProcessHeap(), 0, This->stack, new_size * sizeof(D3DXMATRIX));
 770         if (!new_stack) return E_OUTOFMEMORY;
 771
 772         This->stack_size = new_size;
 773         This->stack = new_stack;
 774     }
 775
 776     ++This->current;
 777     This->stack[This->current] = This->stack[This->current - 1];
 778
 779     return D3D_OK;
 780 }
 781
 782 static HRESULT WINAPI ID3DXMatrixStackImpl_RotateAxis(ID3DXMatrixStack *iface, CONST D3DXVECTOR3 *pv, FLOAT angle)
 783 {
 784     D3DXMATRIX temp;
 785     ID3DXMatrixStackImpl *This = (ID3DXMatrixStackImpl *)iface;
 786
 787     TRACE("iface %p\n", iface);
 788
 789     if (!pv) return D3DERR_INVALIDCALL;
 790     D3DXMatrixRotationAxis(&temp, pv, angle);
 791     D3DXMatrixMultiply(&This->stack[This->current], &This->stack[This->current], &temp);
 792
 793     return D3D_OK;
 794 }
 795
 796 static HRESULT WINAPI ID3DXMatrixStackImpl_RotateAxisLocal(ID3DXMatrixStack *iface, CONST D3DXVECTOR3 *pv, FLOAT angle)
 797 {
 798     D3DXMATRIX temp;
 799     ID3DXMatrixStackImpl *This = (ID3DXMatrixStackImpl *)iface;
 800
 801     TRACE("iface %p\n", iface);
 802
 803     if (!pv) return D3DERR_INVALIDCALL;
 804     D3DXMatrixRotationAxis(&temp, pv, angle);
 805     D3DXMatrixMultiply(&This->stack[This->current], &temp, &This->stack[This->current]);
 806
 807     return D3D_OK;
 808 }
 809
 810 static HRESULT WINAPI ID3DXMatrixStackImpl_RotateYawPitchRoll(ID3DXMatrixStack *iface, FLOAT x, FLOAT y, FLOAT z)
 811 {
 812     D3DXMATRIX temp;
 813     ID3DXMatrixStackImpl *This = (ID3DXMatrixStackImpl *)iface;
 814
 815     TRACE("iface %p\n", iface);
 816
 817     D3DXMatrixRotationYawPitchRoll(&temp, x, y, z);
 818     D3DXMatrixMultiply(&This->stack[This->current], &This->stack[This->current], &temp);
 819
 820     return D3D_OK;
 821 }
 822
 823 static HRESULT WINAPI ID3DXMatrixStackImpl_RotateYawPitchRollLocal(ID3DXMatrixStack *iface, FLOAT x, FLOAT y, FLOAT z)
 824 {
 825     D3DXMATRIX temp;
 826     ID3DXMatrixStackImpl *This = (ID3DXMatrixStackImpl *)iface;
 827
 828     TRACE("iface %p\n", iface);
 829
 830     D3DXMatrixRotationYawPitchRoll(&temp, x, y, z);
 831     D3DXMatrixMultiply(&This->stack[This->current], &temp, &This->stack[This->current]);
 832
 833     return D3D_OK;
 834 }
 835
 836 static HRESULT WINAPI ID3DXMatrixStackImpl_Scale(ID3DXMatrixStack *iface, FLOAT x, FLOAT y, FLOAT z)
 837 {
 838     D3DXMATRIX temp;
 839     ID3DXMatrixStackImpl *This = (ID3DXMatrixStackImpl *)iface;
 840
 841     TRACE("iface %p\n", iface);
 842
 843     D3DXMatrixScaling(&temp, x, y, z);
 844     D3DXMatrixMultiply(&This->stack[This->current], &This->stack[This->current], &temp);
 845
 846     return D3D_OK;
 847 }
 848
 849 static HRESULT WINAPI ID3DXMatrixStackImpl_ScaleLocal(ID3DXMatrixStack *iface, FLOAT x, FLOAT y, FLOAT z)
 850 {
 851     D3DXMATRIX temp;
 852     ID3DXMatrixStackImpl *This = (ID3DXMatrixStackImpl *)iface;
 853
 854     TRACE("iface %p\n", iface);
 855
 856     D3DXMatrixScaling(&temp, x, y, z);
 857     D3DXMatrixMultiply(&This->stack[This->current], &temp, &This->stack[This->current]);
 858
 859     return D3D_OK;
 860 }
 861
 862 static HRESULT WINAPI ID3DXMatrixStackImpl_Translate(ID3DXMatrixStack *iface, FLOAT x, FLOAT y, FLOAT z)
 863 {
 864     D3DXMATRIX temp;
 865     ID3DXMatrixStackImpl *This = (ID3DXMatrixStackImpl *)iface;
 866
 867     TRACE("iface %p\n", iface);
 868
 869     D3DXMatrixTranslation(&temp, x, y, z);
 870     D3DXMatrixMultiply(&This->stack[This->current], &This->stack[This->current], &temp);
 871
 872     return D3D_OK;
 873 }
 874
 875 static HRESULT WINAPI ID3DXMatrixStackImpl_TranslateLocal(ID3DXMatrixStack *iface, FLOAT x, FLOAT y, FLOAT z)
 876 {
 877     D3DXMATRIX temp;
 878     ID3DXMatrixStackImpl *This = (ID3DXMatrixStackImpl *)iface;
 879
 880     TRACE("iface %p\n", iface);
 881
 882     D3DXMatrixTranslation(&temp, x, y, z);
 883     D3DXMatrixMultiply(&This->stack[This->current], &temp,&This->stack[This->current]);
 884
 885     return D3D_OK;
 886 }
 887
 888 static const ID3DXMatrixStackVtbl ID3DXMatrixStack_Vtbl =
 889 {
 890     ID3DXMatrixStackImpl_QueryInterface,
 891     ID3DXMatrixStackImpl_AddRef,
 892     ID3DXMatrixStackImpl_Release,
 893     ID3DXMatrixStackImpl_Pop,
 894     ID3DXMatrixStackImpl_Push,
 895     ID3DXMatrixStackImpl_LoadIdentity,
 896     ID3DXMatrixStackImpl_LoadMatrix,
 897     ID3DXMatrixStackImpl_MultMatrix,
 898     ID3DXMatrixStackImpl_MultMatrixLocal,
 899     ID3DXMatrixStackImpl_RotateAxis,
 900     ID3DXMatrixStackImpl_RotateAxisLocal,
 901     ID3DXMatrixStackImpl_RotateYawPitchRoll,
 902     ID3DXMatrixStackImpl_RotateYawPitchRollLocal,
 903     ID3DXMatrixStackImpl_Scale,
 904     ID3DXMatrixStackImpl_ScaleLocal,
 905     ID3DXMatrixStackImpl_Translate,
 906     ID3DXMatrixStackImpl_TranslateLocal,
 907     ID3DXMatrixStackImpl_GetTop
 908 };
 909
 910 /*_________________D3DXPLANE________________*/
 911
 912 D3DXPLANE* WINAPI D3DXPlaneFromPointNormal(D3DXPLANE *pout, CONST D3DXVECTOR3 *pvpoint, CONST D3DXVECTOR3 *pvnormal)
 913 {
 914     pout->a = pvnormal->x;
 915     pout->b = pvnormal->y;
 916     pout->c = pvnormal->z;
 917     pout->d = -D3DXVec3Dot(pvpoint, pvnormal);
 918     return pout;
 919 }
 920
 921 D3DXPLANE* WINAPI D3DXPlaneFromPoints(D3DXPLANE *pout, CONST D3DXVECTOR3 *pv1, CONST D3DXVECTOR3 *pv2, CONST D3DXVECTOR3 *pv3)
 922 {
 923     D3DXVECTOR3 edge1, edge2, normal, Nnormal;
 924
 925     edge1.x = 0.0f; edge1.y = 0.0f; edge1.z = 0.0f;
 926     edge2.x = 0.0f; edge2.y = 0.0f; edge2.z = 0.0f;
 927     D3DXVec3Subtract(&edge1, pv2, pv1);
 928     D3DXVec3Subtract(&edge2, pv3, pv1);
 929     D3DXVec3Cross(&normal, &edge1, &edge2);
 930     D3DXVec3Normalize(&Nnormal, &normal);
 931     D3DXPlaneFromPointNormal(pout, pv1, &Nnormal);
 932     return pout;
 933 }
 934
 935 D3DXVECTOR3* WINAPI D3DXPlaneIntersectLine(D3DXVECTOR3 *pout, CONST D3DXPLANE *pp, CONST D3DXVECTOR3 *pv1, CONST D3DXVECTOR3 *pv2)
 936 {
 937     D3DXVECTOR3 direction, normal;
 938     FLOAT dot, temp;
 939
 940     normal.x = pp->a;
 941     normal.y = pp->b;
 942     normal.z = pp->c;
 943     direction.x = pv2->x - pv1->x;
 944     direction.y = pv2->y - pv1->y;
 945     direction.z = pv2->z - pv1->z;
 946     dot = D3DXVec3Dot(&normal, &direction);
 947     if ( !dot ) return NULL;
 948     temp = ( pp->d + D3DXVec3Dot(&normal, pv1) ) / dot;
 949     pout->x = pv1->x - temp * direction.x;
 950     pout->y = pv1->y - temp * direction.y;
 951     pout->z = pv1->z - temp * direction.z;
 952     return pout;
 953 }
 954
 955 D3DXPLANE* WINAPI D3DXPlaneNormalize(D3DXPLANE *pout, CONST D3DXPLANE *pp)
 956 {
 957     D3DXPLANE out;
 958     FLOAT norm;
 959
 960     norm = sqrt(pp->a * pp->a + pp->b * pp->b + pp->c * pp->c);
 961     if ( norm )
 962     {
 963      out.a = pp->a / norm;
 964      out.b = pp->b / norm;
 965      out.c = pp->c / norm;
 966      out.d = pp->d / norm;
 967     }
 968     else
 969     {
 970      out.a = 0.0f;
 971      out.b = 0.0f;
 972      out.c = 0.0f;
 973      out.d = 0.0f;
 974     }
 975     *pout = out;
 976     return pout;
 977 }
 978
 979 D3DXPLANE* WINAPI D3DXPlaneTransform(D3DXPLANE *pout, CONST D3DXPLANE *pplane, CONST D3DXMATRIX *pm)
 980 {
 981     CONST D3DXPLANE plane = *pplane;
 982     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;
 983     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;
 984     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;
 985     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;
 986     return pout;
 987 }
 988
 989 /*_________________D3DXQUATERNION________________*/
 990
 991 D3DXQUATERNION* WINAPI D3DXQuaternionBaryCentric(D3DXQUATERNION *pout, CONST D3DXQUATERNION *pq1, CONST D3DXQUATERNION *pq2, CONST D3DXQUATERNION *pq3, FLOAT f, FLOAT g)
 992 {
 993     D3DXQUATERNION temp1, temp2;
 994     D3DXQuaternionSlerp(pout, D3DXQuaternionSlerp(&temp1, pq1, pq2, f + g), D3DXQuaternionSlerp(&temp2, pq1, pq3, f+g), g / (f + g));
 995     return pout;
 996 }
 997
 998 D3DXQUATERNION* WINAPI D3DXQuaternionExp(D3DXQUATERNION *pout, CONST D3DXQUATERNION *pq)
 999 {
1000     FLOAT norm;
1001
1002     norm = sqrt(pq->x * pq->x + pq->y * pq->y + pq->z * pq->z);
1003     if (norm )
1004     {
1005      pout->x = sin(norm) * pq->x / norm;
1006      pout->y = sin(norm) * pq->y / norm;
1007      pout->z = sin(norm) * pq->z / norm;
1008      pout->w = cos(norm);
1009     }
1010     else
1011     {
1012      pout->x = 0.0f;
1013      pout->y = 0.0f;
1014      pout->z = 0.0f;
1015      pout->w = 1.0f;
1016     }
1017     return pout;
1018 }
1019
1020 D3DXQUATERNION* WINAPI D3DXQuaternionInverse(D3DXQUATERNION *pout, CONST D3DXQUATERNION *pq)
1021 {
1022     FLOAT norm;
1023
1024     norm = D3DXQuaternionLengthSq(pq);
1025     if ( !norm )
1026     {
1027      pout->x = 0.0f;
1028      pout->y = 0.0f;
1029      pout->z = 0.0f;
1030      pout->w = 0.0f;
1031     }
1032     else
1033     {
1034      pout->x = -pq->x / norm;
1035      pout->y = -pq->y / norm;
1036      pout->z = -pq->z / norm;
1037      pout->w = pq->w / norm;
1038     }
1039     return pout;
1040 }
1041
1042 D3DXQUATERNION* WINAPI D3DXQuaternionLn(D3DXQUATERNION *pout, CONST D3DXQUATERNION *pq)
1043 {
1044     FLOAT norm, normvec, theta;
1045
1046     norm = D3DXQuaternionLengthSq(pq);
1047     if ( norm > 1.0001f )
1048     {
1049      pout->x = pq->x;
1050      pout->y = pq->y;
1051      pout->z = pq->z;
1052      pout->w = 0.0f;
1053     }
1054     else if( norm > 0.99999f)
1055     {
1056      normvec = sqrt( pq->x * pq->x + pq->y * pq->y + pq->z * pq->z );
1057      theta = atan2(normvec, pq->w) / normvec;
1058      pout->x = theta * pq->x;
1059      pout->y = theta * pq->y;
1060      pout->z = theta * pq->z;
1061      pout->w = 0.0f;
1062     }
1063     else
1064     {
1065      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);
1066     }
1067     return pout;
1068 }
1069
1070 D3DXQUATERNION* WINAPI D3DXQuaternionMultiply(D3DXQUATERNION *pout, CONST D3DXQUATERNION *pq1, CONST D3DXQUATERNION *pq2)
1071 {
1072     D3DXQUATERNION out;
1073     out.x = pq2->w * pq1->x + pq2->x * pq1->w + pq2->y * pq1->z - pq2->z * pq1->y;
1074     out.y = pq2->w * pq1->y - pq2->x * pq1->z + pq2->y * pq1->w + pq2->z * pq1->x;
1075     out.z = pq2->w * pq1->z + pq2->x * pq1->y - pq2->y * pq1->x + pq2->z * pq1->w;
1076     out.w = pq2->w * pq1->w - pq2->x * pq1->x - pq2->y * pq1->y - pq2->z * pq1->z;
1077     *pout = out;
1078     return pout;
1079 }
1080
1081 D3DXQUATERNION* WINAPI D3DXQuaternionNormalize(D3DXQUATERNION *pout, CONST D3DXQUATERNION *pq)
1082 {
1083     D3DXQUATERNION out;
1084     FLOAT norm;
1085
1086     norm = D3DXQuaternionLength(pq);
1087     if ( !norm )
1088     {
1089      out.x = 0.0f;
1090      out.y = 0.0f;
1091      out.z = 0.0f;
1092      out.w = 0.0f;
1093     }
1094     else
1095     {
1096      out.x = pq->x / norm;
1097      out.y = pq->y / norm;
1098      out.z = pq->z / norm;
1099      out.w = pq->w / norm;
1100     }
1101     *pout=out;
1102     return pout;
1103 }
1104
1105 D3DXQUATERNION* WINAPI D3DXQuaternionRotationAxis(D3DXQUATERNION *pout, CONST D3DXVECTOR3 *pv, FLOAT angle)
1106 {
1107     D3DXVECTOR3 temp;
1108
1109     D3DXVec3Normalize(&temp, pv);
1110     pout->x = sin( angle / 2.0f ) * temp.x;
1111     pout->y = sin( angle / 2.0f ) * temp.y;
1112     pout->z = sin( angle / 2.0f ) * temp.z;
1113     pout->w = cos( angle / 2.0f );
1114     return pout;
1115 }
1116
1117 D3DXQUATERNION* WINAPI D3DXQuaternionRotationMatrix(D3DXQUATERNION *pout, CONST D3DXMATRIX *pm)
1118 {
1119     int i, maxi;
1120     FLOAT maxdiag, S, trace;
1121
1122     trace = pm->u.m[0][0] + pm->u.m[1][1] + pm->u.m[2][2] + 1.0f;
1123     if ( trace > 1.0f)
1124     {
1125      pout->x = ( pm->u.m[1][2] - pm->u.m[2][1] ) / ( 2.0f * sqrt(trace) );
1126      pout->y = ( pm->u.m[2][0] - pm->u.m[0][2] ) / ( 2.0f * sqrt(trace) );
1127      pout->z = ( pm->u.m[0][1] - pm->u.m[1][0] ) / ( 2.0f * sqrt(trace) );
1128      pout->w = sqrt(trace) / 2.0f;
1129      return pout;
1130      }
1131     maxi = 0;
1132     maxdiag = pm->u.m[0][0];
1133     for (i=1; i<3; i++)
1134     {
1135      if ( pm->u.m[i][i] > maxdiag )
1136      {
1137       maxi = i;
1138       maxdiag = pm->u.m[i][i];
1139      }
1140     }
1141     switch( maxi )
1142     {
1143      case 0:
1144        S = 2.0f * sqrt(1.0f + pm->u.m[0][0] - pm->u.m[1][1] - pm->u.m[2][2]);
1145        pout->x = 0.25f * S;
1146        pout->y = ( pm->u.m[0][1] + pm->u.m[1][0] ) / S;
1147        pout->z = ( pm->u.m[0][2] + pm->u.m[2][0] ) / S;
1148        pout->w = ( pm->u.m[1][2] - pm->u.m[2][1] ) / S;
1149      break;
1150      case 1:
1151        S = 2.0f * sqrt(1.0f + pm->u.m[1][1] - pm->u.m[0][0] - pm->u.m[2][2]);
1152        pout->x = ( pm->u.m[0][1] + pm->u.m[1][0] ) / S;
1153        pout->y = 0.25f * S;
1154        pout->z = ( pm->u.m[1][2] + pm->u.m[2][1] ) / S;
1155        pout->w = ( pm->u.m[2][0] - pm->u.m[0][2] ) / S;
1156      break;
1157      case 2:
1158        S = 2.0f * sqrt(1.0f + pm->u.m[2][2] - pm->u.m[0][0] - pm->u.m[1][1]);
1159        pout->x = ( pm->u.m[0][2] + pm->u.m[2][0] ) / S;
1160        pout->y = ( pm->u.m[1][2] + pm->u.m[2][1] ) / S;
1161        pout->z = 0.25f * S;
1162        pout->w = ( pm->u.m[0][1] - pm->u.m[1][0] ) / S;
1163      break;
1164     }
1165     return pout;
1166 }
1167
1168 D3DXQUATERNION* WINAPI D3DXQuaternionRotationYawPitchRoll(D3DXQUATERNION *pout, FLOAT yaw, FLOAT pitch, FLOAT roll)
1169 {
1170     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);
1171     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);
1172     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);
1173     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);
1174     return pout;
1175 }
1176
1177 D3DXQUATERNION* WINAPI D3DXQuaternionSlerp(D3DXQUATERNION *pout, CONST D3DXQUATERNION *pq1, CONST D3DXQUATERNION *pq2, FLOAT t)
1178 {
1179     FLOAT dot, epsilon;
1180
1181     epsilon = 1.0f;
1182     dot = D3DXQuaternionDot(pq1, pq2);
1183     if ( dot < 0.0f) epsilon = -1.0f;
1184     pout->x = (1.0f - t) * pq1->x + epsilon * t * pq2->x;
1185     pout->y = (1.0f - t) * pq1->y + epsilon * t * pq2->y;
1186     pout->z = (1.0f - t) * pq1->z + epsilon * t * pq2->z;
1187     pout->w = (1.0f - t) * pq1->w + epsilon * t * pq2->w;
1188     return pout;
1189 }
1190
1191 D3DXQUATERNION* WINAPI D3DXQuaternionSquad(D3DXQUATERNION *pout, CONST D3DXQUATERNION *pq1, CONST D3DXQUATERNION *pq2, CONST D3DXQUATERNION *pq3, CONST D3DXQUATERNION *pq4, FLOAT t)
1192 {
1193     D3DXQUATERNION temp1, temp2;
1194
1195     D3DXQuaternionSlerp(pout, D3DXQuaternionSlerp(&temp1, pq1, pq4, t), D3DXQuaternionSlerp(&temp2, pq2, pq3, t), 2.0f * t * (1.0f - t));
1196     return pout;
1197 }
1198
1199 void WINAPI D3DXQuaternionToAxisAngle(CONST D3DXQUATERNION *pq, D3DXVECTOR3 *paxis, FLOAT *pangle)
1200 {
1201     FLOAT norm;
1202
1203     *pangle = 0.0f;
1204     norm = D3DXQuaternionLength(pq);
1205     if ( norm )
1206     {
1207      paxis->x = pq->x / norm;
1208      paxis->y = pq->y / norm;
1209      paxis->z = pq->z / norm;
1210      if ( fabs( pq->w ) <= 1.0f ) *pangle = 2.0f * acos(pq->w);
1211     }
1212     else
1213     {
1214      paxis->x = 1.0f;
1215      paxis->y = 0.0f;
1216      paxis->z = 0.0f;
1217     }
1218 }
1219
1220 /*_________________D3DXVec2_____________________*/
1221
1222 D3DXVECTOR2* WINAPI D3DXVec2BaryCentric(D3DXVECTOR2 *pout, CONST D3DXVECTOR2 *pv1, CONST D3DXVECTOR2 *pv2, CONST D3DXVECTOR2 *pv3, FLOAT f, FLOAT g)
1223 {
1224     pout->x = (1.0f-f-g) * (pv1->x) + f * (pv2->x) + g * (pv3->x);
1225     pout->y = (1.0f-f-g) * (pv1->y) + f * (pv2->y) + g * (pv3->y);
1226     return pout;
1227 }
1228
1229 D3DXVECTOR2* WINAPI D3DXVec2CatmullRom(D3DXVECTOR2 *pout, CONST D3DXVECTOR2 *pv0, CONST D3DXVECTOR2 *pv1, CONST D3DXVECTOR2 *pv2, CONST D3DXVECTOR2 *pv3, FLOAT s)
1230 {
1231     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);
1232     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);
1233     return pout;
1234 }
1235
1236 D3DXVECTOR2* WINAPI D3DXVec2Hermite(D3DXVECTOR2 *pout, CONST D3DXVECTOR2 *pv1, CONST D3DXVECTOR2 *pt1, CONST D3DXVECTOR2 *pv2, CONST D3DXVECTOR2 *pt2, FLOAT s)
1237 {
1238     FLOAT h1, h2, h3, h4;
1239
1240     h1 = 2.0f * s * s * s - 3.0f * s * s + 1.0f;
1241     h2 = s * s * s - 2.0f * s * s + s;
1242     h3 = -2.0f * s * s * s + 3.0f * s * s;
1243     h4 = s * s * s - s * s;
1244
1245     pout->x = h1 * (pv1->x) + h2 * (pt1->x) + h3 * (pv2->x) + h4 * (pt2->x);
1246     pout->y = h1 * (pv1->y) + h2 * (pt1->y) + h3 * (pv2->y) + h4 * (pt2->y);
1247     return pout;
1248 }
1249
1250 D3DXVECTOR2* WINAPI D3DXVec2Normalize(D3DXVECTOR2 *pout, CONST D3DXVECTOR2 *pv)
1251 {
1252     D3DXVECTOR2 out;
1253     FLOAT norm;
1254
1255     norm = D3DXVec2Length(pv);
1256     if ( !norm )
1257     {
1258      out.x = 0.0f;
1259      out.y = 0.0f;
1260     }
1261     else
1262     {
1263      out.x = pv->x / norm;
1264      out.y = pv->y / norm;
1265     }
1266     *pout=out;
1267     return pout;
1268 }
1269
1270 D3DXVECTOR4* WINAPI D3DXVec2Transform(D3DXVECTOR4 *pout, CONST D3DXVECTOR2 *pv, CONST D3DXMATRIX *pm)
1271 {
1272     pout->x = pm->u.m[0][0] * pv->x + pm->u.m[1][0] * pv->y  + pm->u.m[3][0];
1273     pout->y = pm->u.m[0][1] * pv->x + pm->u.m[1][1] * pv->y  + pm->u.m[3][1];
1274     pout->z = pm->u.m[0][2] * pv->x + pm->u.m[1][2] * pv->y  + pm->u.m[3][2];
1275     pout->w = pm->u.m[0][3] * pv->x + pm->u.m[1][3] * pv->y  + pm->u.m[3][3];
1276     return pout;
1277 }
1278
1279 D3DXVECTOR2* WINAPI D3DXVec2TransformCoord(D3DXVECTOR2 *pout, CONST D3DXVECTOR2 *pv, CONST D3DXMATRIX *pm)
1280 {
1281     FLOAT norm;
1282
1283     norm = pm->u.m[0][3] * pv->x + pm->u.m[1][3] * pv->y + pm->u.m[3][3];
1284     if ( norm )
1285     {
1286      CONST D3DXVECTOR2 v = *pv;
1287      pout->x = (pm->u.m[0][0] * v.x + pm->u.m[1][0] * v.y + pm->u.m[3][0]) / norm;
1288      pout->y = (pm->u.m[0][1] * v.x + pm->u.m[1][1] * v.y + pm->u.m[3][1]) / norm;
1289     }
1290     else
1291     {
1292      pout->x = 0.0f;
1293      pout->y = 0.0f;
1294     }
1295     return pout;
1296 }
1297
1298 D3DXVECTOR2* WINAPI D3DXVec2TransformNormal(D3DXVECTOR2 *pout, CONST D3DXVECTOR2 *pv, CONST D3DXMATRIX *pm)
1299 {
1300     CONST D3DXVECTOR2 v = *pv;
1301     pout->x = pm->u.m[0][0] * v.x + pm->u.m[1][0] * v.y;
1302     pout->y = pm->u.m[0][1] * v.x + pm->u.m[1][1] * v.y;
1303     return pout;
1304 }
1305
1306 /*_________________D3DXVec3_____________________*/
1307
1308 D3DXVECTOR3* WINAPI D3DXVec3BaryCentric(D3DXVECTOR3 *pout, CONST D3DXVECTOR3 *pv1, CONST D3DXVECTOR3 *pv2, CONST D3DXVECTOR3 *pv3, FLOAT f, FLOAT g)
1309 {
1310     pout->x = (1.0f-f-g) * (pv1->x) + f * (pv2->x) + g * (pv3->x);
1311     pout->y = (1.0f-f-g) * (pv1->y) + f * (pv2->y) + g * (pv3->y);
1312     pout->z = (1.0f-f-g) * (pv1->z) + f * (pv2->z) + g * (pv3->z);
1313     return pout;
1314 }
1315
1316 D3DXVECTOR3* WINAPI D3DXVec3CatmullRom( D3DXVECTOR3 *pout, CONST D3DXVECTOR3 *pv0, CONST D3DXVECTOR3 *pv1, CONST D3DXVECTOR3 *pv2, CONST D3DXVECTOR3 *pv3, FLOAT s)
1317 {
1318     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);
1319     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);
1320     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);
1321     return pout;
1322 }
1323
1324 D3DXVECTOR3* WINAPI D3DXVec3Hermite(D3DXVECTOR3 *pout, CONST D3DXVECTOR3 *pv1, CONST D3DXVECTOR3 *pt1, CONST D3DXVECTOR3 *pv2, CONST D3DXVECTOR3 *pt2, FLOAT s)
1325 {
1326     FLOAT h1, h2, h3, h4;
1327
1328     h1 = 2.0f * s * s * s - 3.0f * s * s + 1.0f;
1329     h2 = s * s * s - 2.0f * s * s + s;
1330     h3 = -2.0f * s * s * s + 3.0f * s * s;
1331     h4 = s * s * s - s * s;
1332
1333     pout->x = h1 * (pv1->x) + h2 * (pt1->x) + h3 * (pv2->x) + h4 * (pt2->x);
1334     pout->y = h1 * (pv1->y) + h2 * (pt1->y) + h3 * (pv2->y) + h4 * (pt2->y);
1335     pout->z = h1 * (pv1->z) + h2 * (pt1->z) + h3 * (pv2->z) + h4 * (pt2->z);
1336     return pout;
1337 }
1338
1339 D3DXVECTOR3* WINAPI D3DXVec3Normalize(D3DXVECTOR3 *pout, CONST D3DXVECTOR3 *pv)
1340 {
1341     D3DXVECTOR3 out;
1342     FLOAT norm;
1343
1344     norm = D3DXVec3Length(pv);
1345     if ( !norm )
1346     {
1347      out.x = 0.0f;
1348      out.y = 0.0f;
1349      out.z = 0.0f;
1350     }
1351     else
1352     {
1353      out.x = pv->x / norm;
1354      out.y = pv->y / norm;
1355      out.z = pv->z / norm;
1356     }
1357     *pout = out;
1358     return pout;
1359 }
1360
1361 D3DXVECTOR3* WINAPI D3DXVec3Project(D3DXVECTOR3 *pout, CONST D3DXVECTOR3 *pv, CONST D3DVIEWPORT8 *pviewport, CONST D3DXMATRIX *pprojection, CONST D3DXMATRIX *pview, CONST D3DXMATRIX *pworld)
1362 {
1363     D3DXMATRIX m;
1364     D3DXVECTOR3 out;
1365
1366     D3DXMatrixMultiply(&m, pworld, pview);
1367     D3DXMatrixMultiply(&m, &m, pprojection);
1368     D3DXVec3TransformCoord(&out, pv, &m);
1369     out.x = pviewport->X +  ( 1.0f + out.x ) * pviewport->Width / 2.0f;
1370     out.y = pviewport->Y +  ( 1.0f - out.y ) * pviewport->Height / 2.0f;
1371     out.z = pviewport->MinZ + out.z * ( pviewport->MaxZ - pviewport->MinZ );
1372     *pout = out;
1373     return pout;
1374 }
1375
1376 D3DXVECTOR4* WINAPI D3DXVec3Transform(D3DXVECTOR4 *pout, CONST D3DXVECTOR3 *pv, CONST D3DXMATRIX *pm)
1377 {
1378     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];
1379     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];
1380     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];
1381     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];
1382     return pout;
1383 }
1384
1385 D3DXVECTOR3* WINAPI D3DXVec3TransformCoord(D3DXVECTOR3 *pout, CONST D3DXVECTOR3 *pv, CONST D3DXMATRIX *pm)
1386 {
1387     D3DXVECTOR3 out;
1388     FLOAT norm;
1389
1390     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];
1391
1392     if ( norm )
1393     {
1394      CONST D3DXVECTOR3 v = *pv;
1395      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;
1396      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;
1397      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;
1398     }
1399     else
1400     {
1401      out.x = 0.0f;
1402      out.y = 0.0f;
1403      out.z = 0.0f;
1404     }
1405     *pout = out;
1406     return pout;
1407 }
1408
1409 D3DXVECTOR3* WINAPI D3DXVec3TransformNormal(D3DXVECTOR3 *pout, CONST D3DXVECTOR3 *pv, CONST D3DXMATRIX *pm)
1410 {
1411     CONST D3DXVECTOR3 v = *pv;
1412     pout->x = pm->u.m[0][0] * v.x + pm->u.m[1][0] * v.y + pm->u.m[2][0] * v.z;
1413     pout->y = pm->u.m[0][1] * v.x + pm->u.m[1][1] * v.y + pm->u.m[2][1] * v.z;
1414     pout->z = pm->u.m[0][2] * v.x + pm->u.m[1][2] * v.y + pm->u.m[2][2] * v.z;
1415     return pout;
1416
1417 }
1418
1419 D3DXVECTOR3* WINAPI D3DXVec3Unproject(D3DXVECTOR3 *pout, CONST D3DXVECTOR3 *pv, CONST D3DVIEWPORT8 *pviewport, CONST D3DXMATRIX *pprojection, CONST D3DXMATRIX *pview, CONST D3DXMATRIX *pworld)
1420 {
1421     D3DXMATRIX m;
1422     D3DXVECTOR3 out;
1423
1424     D3DXMatrixMultiply(&m, pworld, pview);
1425     D3DXMatrixMultiply(&m, &m, pprojection);
1426     D3DXMatrixInverse(&m, NULL, &m);
1427     out.x = 2.0f * ( pv->x - pviewport->X ) / pviewport->Width - 1.0f;
1428     out.y = 1.0f - 2.0f * ( pv->y - pviewport->Y ) / pviewport->Height;
1429     out.z = ( pv->z - pviewport->MinZ) / ( pviewport->MaxZ - pviewport->MinZ );
1430     D3DXVec3TransformCoord(&out, &out, &m);
1431     *pout = out;
1432     return pout;
1433 }
1434
1435 /*_________________D3DXVec4_____________________*/
1436
1437 D3DXVECTOR4* WINAPI D3DXVec4BaryCentric(D3DXVECTOR4 *pout, CONST D3DXVECTOR4 *pv1, CONST D3DXVECTOR4 *pv2, CONST D3DXVECTOR4 *pv3, FLOAT f, FLOAT g)
1438 {
1439     pout->x = (1.0f-f-g) * (pv1->x) + f * (pv2->x) + g * (pv3->x);
1440     pout->y = (1.0f-f-g) * (pv1->y) + f * (pv2->y) + g * (pv3->y);
1441     pout->z = (1.0f-f-g) * (pv1->z) + f * (pv2->z) + g * (pv3->z);
1442     pout->w = (1.0f-f-g) * (pv1->w) + f * (pv2->w) + g * (pv3->w);
1443     return pout;
1444 }
1445
1446 D3DXVECTOR4* WINAPI D3DXVec4CatmullRom(D3DXVECTOR4 *pout, CONST D3DXVECTOR4 *pv0, CONST D3DXVECTOR4 *pv1, CONST D3DXVECTOR4 *pv2, CONST D3DXVECTOR4 *pv3, FLOAT s)
1447 {
1448     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);
1449     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);
1450     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);
1451     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);
1452     return pout;
1453 }
1454
1455 D3DXVECTOR4* WINAPI D3DXVec4Cross(D3DXVECTOR4 *pout, CONST D3DXVECTOR4 *pv1, CONST D3DXVECTOR4 *pv2, CONST D3DXVECTOR4 *pv3)
1456 {
1457     D3DXVECTOR4 out;
1458     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);
1459     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));
1460     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);
1461     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));
1462     *pout = out;
1463     return pout;
1464 }
1465
1466 D3DXVECTOR4* WINAPI D3DXVec4Hermite(D3DXVECTOR4 *pout, CONST D3DXVECTOR4 *pv1, CONST D3DXVECTOR4 *pt1, CONST D3DXVECTOR4 *pv2, CONST D3DXVECTOR4 *pt2, FLOAT s)
1467 {
1468     FLOAT h1, h2, h3, h4;
1469
1470     h1 = 2.0f * s * s * s - 3.0f * s * s + 1.0f;
1471     h2 = s * s * s - 2.0f * s * s + s;
1472     h3 = -2.0f * s * s * s + 3.0f * s * s;
1473     h4 = s * s * s - s * s;
1474
1475     pout->x = h1 * (pv1->x) + h2 * (pt1->x) + h3 * (pv2->x) + h4 * (pt2->x);
1476     pout->y = h1 * (pv1->y) + h2 * (pt1->y) + h3 * (pv2->y) + h4 * (pt2->y);
1477     pout->z = h1 * (pv1->z) + h2 * (pt1->z) + h3 * (pv2->z) + h4 * (pt2->z);
1478     pout->w = h1 * (pv1->w) + h2 * (pt1->w) + h3 * (pv2->w) + h4 * (pt2->w);
1479     return pout;
1480 }
1481
1482 D3DXVECTOR4* WINAPI D3DXVec4Normalize(D3DXVECTOR4 *pout, CONST D3DXVECTOR4 *pv)
1483 {
1484     D3DXVECTOR4 out;
1485     FLOAT norm;
1486
1487     norm = D3DXVec4Length(pv);
1488     if ( !norm )
1489     {
1490      out.x = 0.0f;
1491      out.y = 0.0f;
1492      out.z = 0.0f;
1493      out.w = 0.0f;
1494     }
1495     else
1496     {
1497      out.x = pv->x / norm;
1498      out.y = pv->y / norm;
1499      out.z = pv->z / norm;
1500      out.w = pv->w / norm;
1501     }
1502     *pout = out;
1503     return pout;
1504 }
1505
1506 D3DXVECTOR4* WINAPI D3DXVec4Transform(D3DXVECTOR4 *pout, CONST D3DXVECTOR4 *pv, CONST D3DXMATRIX *pm)
1507 {
1508     D3DXVECTOR4 out;
1509     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;
1510     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;
1511     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;
1512     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;
1513     *pout = out;
1514     return pout;
1515 }