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dsound: clean up capture interface and prepare for mmdevapi (v2)
[wine/multimedia.git] / dlls / d3dx9_36 / math.c
blob24069291782b1ac88762d5f031b1635cf6a514a8
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 t;
1219
1220 TRACE("(%p, %p)\n", pout, pq);
1221
1222 if ( (pq->w >= 1.0f) || (pq->w == -1.0f) )
1223 t = 1.0f;
1224 else
1225 t = acos( pq->w ) / sqrt( 1.0f - pq->w * pq->w );
1226
1227 pout->x = t * pq->x;
1228 pout->y = t * pq->y;
1229 pout->z = t * pq->z;
1230 pout->w = 0.0f;
1231
1232 return pout;
1233 }
1234
1235 D3DXQUATERNION* WINAPI D3DXQuaternionMultiply(D3DXQUATERNION *pout, CONST D3DXQUATERNION *pq1, CONST D3DXQUATERNION *pq2)
1236 {
1237 D3DXQUATERNION out;
1238 out.x = pq2->w * pq1->x + pq2->x * pq1->w + pq2->y * pq1->z - pq2->z * pq1->y;
1239 out.y = pq2->w * pq1->y - pq2->x * pq1->z + pq2->y * pq1->w + pq2->z * pq1->x;
1240 out.z = pq2->w * pq1->z + pq2->x * pq1->y - pq2->y * pq1->x + pq2->z * pq1->w;
1241 out.w = pq2->w * pq1->w - pq2->x * pq1->x - pq2->y * pq1->y - pq2->z * pq1->z;
1242 *pout = out;
1243 return pout;
1244 }
1245
1246 D3DXQUATERNION* WINAPI D3DXQuaternionNormalize(D3DXQUATERNION *pout, CONST D3DXQUATERNION *pq)
1247 {
1248 D3DXQUATERNION out;
1249 FLOAT norm;
1250
1251 norm = D3DXQuaternionLength(pq);
1252
1253 out.x = pq->x / norm;
1254 out.y = pq->y / norm;
1255 out.z = pq->z / norm;
1256 out.w = pq->w / norm;
1257
1258 *pout=out;
1259
1260 return pout;
1261 }
1262
1263 D3DXQUATERNION* WINAPI D3DXQuaternionRotationAxis(D3DXQUATERNION *pout, CONST D3DXVECTOR3 *pv, FLOAT angle)
1264 {
1265 D3DXVECTOR3 temp;
1266
1267 D3DXVec3Normalize(&temp, pv);
1268 pout->x = sin( angle / 2.0f ) * temp.x;
1269 pout->y = sin( angle / 2.0f ) * temp.y;
1270 pout->z = sin( angle / 2.0f ) * temp.z;
1271 pout->w = cos( angle / 2.0f );
1272 return pout;
1273 }
1274
1275 D3DXQUATERNION* WINAPI D3DXQuaternionRotationMatrix(D3DXQUATERNION *pout, CONST D3DXMATRIX *pm)
1276 {
1277 int i, maxi;
1278 FLOAT maxdiag, S, trace;
1279
1280 trace = pm->u.m[0][0] + pm->u.m[1][1] + pm->u.m[2][2] + 1.0f;
1281 if ( trace > 1.0f)
1282 {
1283 pout->x = ( pm->u.m[1][2] - pm->u.m[2][1] ) / ( 2.0f * sqrt(trace) );
1284 pout->y = ( pm->u.m[2][0] - pm->u.m[0][2] ) / ( 2.0f * sqrt(trace) );
1285 pout->z = ( pm->u.m[0][1] - pm->u.m[1][0] ) / ( 2.0f * sqrt(trace) );
1286 pout->w = sqrt(trace) / 2.0f;
1287 return pout;
1288 }
1289 maxi = 0;
1290 maxdiag = pm->u.m[0][0];
1291 for (i=1; i<3; i++)
1292 {
1293 if ( pm->u.m[i][i] > maxdiag )
1294 {
1295 maxi = i;
1296 maxdiag = pm->u.m[i][i];
1297 }
1298 }
1299 switch( maxi )
1300 {
1301 case 0:
1302 S = 2.0f * sqrt(1.0f + pm->u.m[0][0] - pm->u.m[1][1] - pm->u.m[2][2]);
1303 pout->x = 0.25f * S;
1304 pout->y = ( pm->u.m[0][1] + pm->u.m[1][0] ) / S;
1305 pout->z = ( pm->u.m[0][2] + pm->u.m[2][0] ) / S;
1306 pout->w = ( pm->u.m[1][2] - pm->u.m[2][1] ) / S;
1307 break;
1308 case 1:
1309 S = 2.0f * sqrt(1.0f + pm->u.m[1][1] - pm->u.m[0][0] - pm->u.m[2][2]);
1310 pout->x = ( pm->u.m[0][1] + pm->u.m[1][0] ) / S;
1311 pout->y = 0.25f * S;
1312 pout->z = ( pm->u.m[1][2] + pm->u.m[2][1] ) / S;
1313 pout->w = ( pm->u.m[2][0] - pm->u.m[0][2] ) / S;
1314 break;
1315 case 2:
1316 S = 2.0f * sqrt(1.0f + pm->u.m[2][2] - pm->u.m[0][0] - pm->u.m[1][1]);
1317 pout->x = ( pm->u.m[0][2] + pm->u.m[2][0] ) / S;
1318 pout->y = ( pm->u.m[1][2] + pm->u.m[2][1] ) / S;
1319 pout->z = 0.25f * S;
1320 pout->w = ( pm->u.m[0][1] - pm->u.m[1][0] ) / S;
1321 break;
1322 }
1323 return pout;
1324 }
1325
1326 D3DXQUATERNION* WINAPI D3DXQuaternionRotationYawPitchRoll(D3DXQUATERNION *pout, FLOAT yaw, FLOAT pitch, FLOAT roll)
1327 {
1328 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);
1329 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);
1330 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);
1331 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);
1332 return pout;
1333 }
1334
1335 D3DXQUATERNION* WINAPI D3DXQuaternionSlerp(D3DXQUATERNION *pout, CONST D3DXQUATERNION *pq1, CONST D3DXQUATERNION *pq2, FLOAT t)
1336 {
1337 FLOAT dot, epsilon, temp, theta, u;
1338
1339 epsilon = 1.0f;
1340 temp = 1.0f - t;
1341 u = t;
1342 dot = D3DXQuaternionDot(pq1, pq2);
1343 if ( dot < 0.0f )
1344 {
1345 epsilon = -1.0f;
1346 dot = -dot;
1347 }
1348 if( 1.0f - dot > 0.001f )
1349 {
1350 theta = acos(dot);
1351 temp = sin(theta * temp) / sin(theta);
1352 u = sin(theta * u) / sin(theta);
1353 }
1354 pout->x = temp * pq1->x + epsilon * u * pq2->x;
1355 pout->y = temp * pq1->y + epsilon * u * pq2->y;
1356 pout->z = temp * pq1->z + epsilon * u * pq2->z;
1357 pout->w = temp * pq1->w + epsilon * u * pq2->w;
1358 return pout;
1359 }
1360
1361 D3DXQUATERNION* WINAPI D3DXQuaternionSquad(D3DXQUATERNION *pout, CONST D3DXQUATERNION *pq1, CONST D3DXQUATERNION *pq2, CONST D3DXQUATERNION *pq3, CONST D3DXQUATERNION *pq4, FLOAT t)
1362 {
1363 D3DXQUATERNION temp1, temp2;
1364
1365 D3DXQuaternionSlerp(pout, D3DXQuaternionSlerp(&temp1, pq1, pq4, t), D3DXQuaternionSlerp(&temp2, pq2, pq3, t), 2.0f * t * (1.0f - t));
1366 return pout;
1367 }
1368
1369 static D3DXQUATERNION add_diff(CONST D3DXQUATERNION *q1, CONST D3DXQUATERNION *q2, CONST FLOAT add)
1370 {
1371 D3DXQUATERNION temp;
1372
1373 temp.x = q1->x + add * q2->x;
1374 temp.y = q1->y + add * q2->y;
1375 temp.z = q1->z + add * q2->z;
1376 temp.w = q1->w + add * q2->w;
1377
1378 return temp;
1379 }
1380
1381 void WINAPI D3DXQuaternionSquadSetup(D3DXQUATERNION *paout, D3DXQUATERNION *pbout, D3DXQUATERNION *pcout, CONST D3DXQUATERNION *pq0, CONST D3DXQUATERNION *pq1, CONST D3DXQUATERNION *pq2, CONST D3DXQUATERNION *pq3)
1382 {
1383 D3DXQUATERNION q, temp1, temp2, temp3, zero;
1384
1385 TRACE("(%p, %p, %p, %p, %p, %p, %p)\n", paout, pbout, pcout, pq0, pq1, pq2, pq3);
1386
1387 zero.x = 0.0f;
1388 zero.y = 0.0f;
1389 zero.z = 0.0f;
1390 zero.w = 0.0f;
1391
1392 if ( D3DXQuaternionDot(pq0, pq1) < 0.0f )
1393 temp2 = add_diff(&zero, pq0, -1.0f);
1394 else
1395 temp2 = *pq0;
1396
1397 if ( D3DXQuaternionDot(pq1, pq2) < 0.0f )
1398 *pcout = add_diff(&zero, pq2, -1.0f);
1399 else
1400 *pcout = *pq2;
1401
1402 if ( D3DXQuaternionDot(pcout, pq3) < 0.0f )
1403 temp3 = add_diff(&zero, pq3, -1.0f);
1404 else
1405 temp3 = *pq3;
1406
1407 D3DXQuaternionInverse(&temp1, pq1);
1408 D3DXQuaternionMultiply(&temp2, &temp1, &temp2);
1409 D3DXQuaternionLn(&temp2, &temp2);
1410 D3DXQuaternionMultiply(&q, &temp1, pcout);
1411 D3DXQuaternionLn(&q, &q);
1412 temp1 = add_diff(&temp2, &q, 1.0f);
1413 temp1.x *= -0.25f;
1414 temp1.y *= -0.25f;
1415 temp1.z *= -0.25f;
1416 temp1.w *= -0.25f;
1417 D3DXQuaternionExp(&temp1, &temp1);
1418 D3DXQuaternionMultiply(paout, pq1, &temp1);
1419
1420 D3DXQuaternionInverse(&temp1, pcout);
1421 D3DXQuaternionMultiply(&temp2, &temp1, pq1);
1422 D3DXQuaternionLn(&temp2, &temp2);
1423 D3DXQuaternionMultiply(&q, &temp1, &temp3);
1424 D3DXQuaternionLn(&q, &q);
1425 temp1 = add_diff(&temp2, &q, 1.0f);
1426 temp1.x *= -0.25f;
1427 temp1.y *= -0.25f;
1428 temp1.z *= -0.25f;
1429 temp1.w *= -0.25f;
1430 D3DXQuaternionExp(&temp1, &temp1);
1431 D3DXQuaternionMultiply(pbout, pcout, &temp1);
1432
1433 return;
1434 }
1435
1436 void WINAPI D3DXQuaternionToAxisAngle(CONST D3DXQUATERNION *pq, D3DXVECTOR3 *paxis, FLOAT *pangle)
1437 {
1438 paxis->x = pq->x;
1439 paxis->y = pq->y;
1440 paxis->z = pq->z;
1441 *pangle = 2.0f * acos(pq->w);
1442 }
1443
1444 /*_________________D3DXVec2_____________________*/
1445
1446 D3DXVECTOR2* WINAPI D3DXVec2BaryCentric(D3DXVECTOR2 *pout, CONST D3DXVECTOR2 *pv1, CONST D3DXVECTOR2 *pv2, CONST D3DXVECTOR2 *pv3, FLOAT f, FLOAT g)
1447 {
1448 pout->x = (1.0f-f-g) * (pv1->x) + f * (pv2->x) + g * (pv3->x);
1449 pout->y = (1.0f-f-g) * (pv1->y) + f * (pv2->y) + g * (pv3->y);
1450 return pout;
1451 }
1452
1453 D3DXVECTOR2* WINAPI D3DXVec2CatmullRom(D3DXVECTOR2 *pout, CONST D3DXVECTOR2 *pv0, CONST D3DXVECTOR2 *pv1, CONST D3DXVECTOR2 *pv2, CONST D3DXVECTOR2 *pv3, FLOAT s)
1454 {
1455 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);
1456 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);
1457 return pout;
1458 }
1459
1460 D3DXVECTOR2* WINAPI D3DXVec2Hermite(D3DXVECTOR2 *pout, CONST D3DXVECTOR2 *pv1, CONST D3DXVECTOR2 *pt1, CONST D3DXVECTOR2 *pv2, CONST D3DXVECTOR2 *pt2, FLOAT s)
1461 {
1462 FLOAT h1, h2, h3, h4;
1463
1464 h1 = 2.0f * s * s * s - 3.0f * s * s + 1.0f;
1465 h2 = s * s * s - 2.0f * s * s + s;
1466 h3 = -2.0f * s * s * s + 3.0f * s * s;
1467 h4 = s * s * s - s * s;
1468
1469 pout->x = h1 * (pv1->x) + h2 * (pt1->x) + h3 * (pv2->x) + h4 * (pt2->x);
1470 pout->y = h1 * (pv1->y) + h2 * (pt1->y) + h3 * (pv2->y) + h4 * (pt2->y);
1471 return pout;
1472 }
1473
1474 D3DXVECTOR2* WINAPI D3DXVec2Normalize(D3DXVECTOR2 *pout, CONST D3DXVECTOR2 *pv)
1475 {
1476 D3DXVECTOR2 out;
1477 FLOAT norm;
1478
1479 norm = D3DXVec2Length(pv);
1480 if ( !norm )
1481 {
1482 out.x = 0.0f;
1483 out.y = 0.0f;
1484 }
1485 else
1486 {
1487 out.x = pv->x / norm;
1488 out.y = pv->y / norm;
1489 }
1490 *pout=out;
1491 return pout;
1492 }
1493
1494 D3DXVECTOR4* WINAPI D3DXVec2Transform(D3DXVECTOR4 *pout, CONST D3DXVECTOR2 *pv, CONST D3DXMATRIX *pm)
1495 {
1496 pout->x = pm->u.m[0][0] * pv->x + pm->u.m[1][0] * pv->y + pm->u.m[3][0];
1497 pout->y = pm->u.m[0][1] * pv->x + pm->u.m[1][1] * pv->y + pm->u.m[3][1];
1498 pout->z = pm->u.m[0][2] * pv->x + pm->u.m[1][2] * pv->y + pm->u.m[3][2];
1499 pout->w = pm->u.m[0][3] * pv->x + pm->u.m[1][3] * pv->y + pm->u.m[3][3];
1500 return pout;
1501 }
1502
1503 D3DXVECTOR4* WINAPI D3DXVec2TransformArray(D3DXVECTOR4* out, UINT outstride, CONST D3DXVECTOR2* in, UINT instride, CONST D3DXMATRIX* matrix, UINT elements)
1504 {
1505 UINT i;
1506
1507 for (i = 0; i < elements; ++i) {
1508 D3DXVec2Transform(
1509 (D3DXVECTOR4*)((char*)out + outstride * i),
1510 (CONST D3DXVECTOR2*)((const char*)in + instride * i),
1511 matrix);
1512 }
1513 return out;
1514 }
1515
1516 D3DXVECTOR2* WINAPI D3DXVec2TransformCoord(D3DXVECTOR2 *pout, CONST D3DXVECTOR2 *pv, CONST D3DXMATRIX *pm)
1517 {
1518 D3DXVECTOR2 v;
1519 FLOAT norm;
1520
1521 v = *pv;
1522 norm = pm->u.m[0][3] * pv->x + pm->u.m[1][3] * pv->y + pm->u.m[3][3];
1523
1524 pout->x = (pm->u.m[0][0] * v.x + pm->u.m[1][0] * v.y + pm->u.m[3][0]) / norm;
1525 pout->y = (pm->u.m[0][1] * v.x + pm->u.m[1][1] * v.y + pm->u.m[3][1]) / norm;
1526
1527 return pout;
1528 }
1529
1530 D3DXVECTOR2* WINAPI D3DXVec2TransformCoordArray(D3DXVECTOR2* out, UINT outstride, CONST D3DXVECTOR2* in, UINT instride, CONST D3DXMATRIX* matrix, UINT elements)
1531 {
1532 UINT i;
1533
1534 for (i = 0; i < elements; ++i) {
1535 D3DXVec2TransformCoord(
1536 (D3DXVECTOR2*)((char*)out + outstride * i),
1537 (CONST D3DXVECTOR2*)((const char*)in + instride * i),
1538 matrix);
1539 }
1540 return out;
1541 }
1542
1543 D3DXVECTOR2* WINAPI D3DXVec2TransformNormal(D3DXVECTOR2 *pout, CONST D3DXVECTOR2 *pv, CONST D3DXMATRIX *pm)
1544 {
1545 CONST D3DXVECTOR2 v = *pv;
1546 pout->x = pm->u.m[0][0] * v.x + pm->u.m[1][0] * v.y;
1547 pout->y = pm->u.m[0][1] * v.x + pm->u.m[1][1] * v.y;
1548 return pout;
1549 }
1550
1551 D3DXVECTOR2* WINAPI D3DXVec2TransformNormalArray(D3DXVECTOR2* out, UINT outstride, CONST D3DXVECTOR2 *in, UINT instride, CONST D3DXMATRIX *matrix, UINT elements)
1552 {
1553 UINT i;
1554
1555 for (i = 0; i < elements; ++i) {
1556 D3DXVec2TransformNormal(
1557 (D3DXVECTOR2*)((char*)out + outstride * i),
1558 (CONST D3DXVECTOR2*)((const char*)in + instride * i),
1559 matrix);
1560 }
1561 return out;
1562 }
1563
1564 /*_________________D3DXVec3_____________________*/
1565
1566 D3DXVECTOR3* WINAPI D3DXVec3BaryCentric(D3DXVECTOR3 *pout, CONST D3DXVECTOR3 *pv1, CONST D3DXVECTOR3 *pv2, CONST D3DXVECTOR3 *pv3, FLOAT f, FLOAT g)
1567 {
1568 pout->x = (1.0f-f-g) * (pv1->x) + f * (pv2->x) + g * (pv3->x);
1569 pout->y = (1.0f-f-g) * (pv1->y) + f * (pv2->y) + g * (pv3->y);
1570 pout->z = (1.0f-f-g) * (pv1->z) + f * (pv2->z) + g * (pv3->z);
1571 return pout;
1572 }
1573
1574 D3DXVECTOR3* WINAPI D3DXVec3CatmullRom( D3DXVECTOR3 *pout, CONST D3DXVECTOR3 *pv0, CONST D3DXVECTOR3 *pv1, CONST D3DXVECTOR3 *pv2, CONST D3DXVECTOR3 *pv3, FLOAT s)
1575 {
1576 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);
1577 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);
1578 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);
1579 return pout;
1580 }
1581
1582 D3DXVECTOR3* WINAPI D3DXVec3Hermite(D3DXVECTOR3 *pout, CONST D3DXVECTOR3 *pv1, CONST D3DXVECTOR3 *pt1, CONST D3DXVECTOR3 *pv2, CONST D3DXVECTOR3 *pt2, FLOAT s)
1583 {
1584 FLOAT h1, h2, h3, h4;
1585
1586 h1 = 2.0f * s * s * s - 3.0f * s * s + 1.0f;
1587 h2 = s * s * s - 2.0f * s * s + s;
1588 h3 = -2.0f * s * s * s + 3.0f * s * s;
1589 h4 = s * s * s - s * s;
1590
1591 pout->x = h1 * (pv1->x) + h2 * (pt1->x) + h3 * (pv2->x) + h4 * (pt2->x);
1592 pout->y = h1 * (pv1->y) + h2 * (pt1->y) + h3 * (pv2->y) + h4 * (pt2->y);
1593 pout->z = h1 * (pv1->z) + h2 * (pt1->z) + h3 * (pv2->z) + h4 * (pt2->z);
1594 return pout;
1595 }
1596
1597 D3DXVECTOR3* WINAPI D3DXVec3Normalize(D3DXVECTOR3 *pout, CONST D3DXVECTOR3 *pv)
1598 {
1599 D3DXVECTOR3 out;
1600 FLOAT norm;
1601
1602 norm = D3DXVec3Length(pv);
1603 if ( !norm )
1604 {
1605 out.x = 0.0f;
1606 out.y = 0.0f;
1607 out.z = 0.0f;
1608 }
1609 else
1610 {
1611 out.x = pv->x / norm;
1612 out.y = pv->y / norm;
1613 out.z = pv->z / norm;
1614 }
1615 *pout = out;
1616 return pout;
1617 }
1618
1619 D3DXVECTOR3* WINAPI D3DXVec3Project(D3DXVECTOR3 *pout, CONST D3DXVECTOR3 *pv, CONST D3DVIEWPORT9 *pviewport, CONST D3DXMATRIX *pprojection, CONST D3DXMATRIX *pview, CONST D3DXMATRIX *pworld)
1620 {
1621 D3DXMATRIX m;
1622 D3DXVECTOR3 out;
1623
1624 D3DXMatrixMultiply(&m, pworld, pview);
1625 D3DXMatrixMultiply(&m, &m, pprojection);
1626 D3DXVec3TransformCoord(&out, pv, &m);
1627 out.x = pviewport->X + ( 1.0f + out.x ) * pviewport->Width / 2.0f;
1628 out.y = pviewport->Y + ( 1.0f - out.y ) * pviewport->Height / 2.0f;
1629 out.z = pviewport->MinZ + out.z * ( pviewport->MaxZ - pviewport->MinZ );
1630 *pout = out;
1631 return pout;
1632 }
1633
1634 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)
1635 {
1636 UINT i;
1637
1638 for (i = 0; i < elements; ++i) {
1639 D3DXVec3Project(
1640 (D3DXVECTOR3*)((char*)out + outstride * i),
1641 (CONST D3DXVECTOR3*)((const char*)in + instride * i),
1642 viewport, projection, view, world);
1643 }
1644 return out;
1645 }
1646
1647 D3DXVECTOR4* WINAPI D3DXVec3Transform(D3DXVECTOR4 *pout, CONST D3DXVECTOR3 *pv, CONST D3DXMATRIX *pm)
1648 {
1649 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];
1650 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];
1651 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];
1652 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];
1653 return pout;
1654 }
1655
1656 D3DXVECTOR4* WINAPI D3DXVec3TransformArray(D3DXVECTOR4* out, UINT outstride, CONST D3DXVECTOR3* in, UINT instride, CONST D3DXMATRIX* matrix, UINT elements)
1657 {
1658 UINT i;
1659
1660 for (i = 0; i < elements; ++i) {
1661 D3DXVec3Transform(
1662 (D3DXVECTOR4*)((char*)out + outstride * i),
1663 (CONST D3DXVECTOR3*)((const char*)in + instride * i),
1664 matrix);
1665 }
1666 return out;
1667 }
1668
1669 D3DXVECTOR3* WINAPI D3DXVec3TransformCoord(D3DXVECTOR3 *pout, CONST D3DXVECTOR3 *pv, CONST D3DXMATRIX *pm)
1670 {
1671 D3DXVECTOR3 out;
1672 FLOAT norm;
1673
1674 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];
1675
1676 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;
1677 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;
1678 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;
1679
1680 *pout = out;
1681
1682 return pout;
1683 }
1684
1685 D3DXVECTOR3* WINAPI D3DXVec3TransformCoordArray(D3DXVECTOR3* out, UINT outstride, CONST D3DXVECTOR3* in, UINT instride, CONST D3DXMATRIX* matrix, UINT elements)
1686 {
1687 UINT i;
1688
1689 for (i = 0; i < elements; ++i) {
1690 D3DXVec3TransformCoord(
1691 (D3DXVECTOR3*)((char*)out + outstride * i),
1692 (CONST D3DXVECTOR3*)((const char*)in + instride * i),
1693 matrix);
1694 }
1695 return out;
1696 }
1697
1698 D3DXVECTOR3* WINAPI D3DXVec3TransformNormal(D3DXVECTOR3 *pout, CONST D3DXVECTOR3 *pv, CONST D3DXMATRIX *pm)
1699 {
1700 CONST D3DXVECTOR3 v = *pv;
1701 pout->x = pm->u.m[0][0] * v.x + pm->u.m[1][0] * v.y + pm->u.m[2][0] * v.z;
1702 pout->y = pm->u.m[0][1] * v.x + pm->u.m[1][1] * v.y + pm->u.m[2][1] * v.z;
1703 pout->z = pm->u.m[0][2] * v.x + pm->u.m[1][2] * v.y + pm->u.m[2][2] * v.z;
1704 return pout;
1705
1706 }
1707
1708 D3DXVECTOR3* WINAPI D3DXVec3TransformNormalArray(D3DXVECTOR3* out, UINT outstride, CONST D3DXVECTOR3* in, UINT instride, CONST D3DXMATRIX* matrix, UINT elements)
1709 {
1710 UINT i;
1711
1712 for (i = 0; i < elements; ++i) {
1713 D3DXVec3TransformNormal(
1714 (D3DXVECTOR3*)((char*)out + outstride * i),
1715 (CONST D3DXVECTOR3*)((const char*)in + instride * i),
1716 matrix);
1717 }
1718 return out;
1719 }
1720
1721 D3DXVECTOR3* WINAPI D3DXVec3Unproject(D3DXVECTOR3 *pout, CONST D3DXVECTOR3 *pv, CONST D3DVIEWPORT9 *pviewport, CONST D3DXMATRIX *pprojection, CONST D3DXMATRIX *pview, CONST D3DXMATRIX *pworld)
1722 {
1723 D3DXMATRIX m;
1724 D3DXVECTOR3 out;
1725
1726 if (pworld) {
1727 D3DXMatrixMultiply(&m, pworld, pview);
1728 D3DXMatrixMultiply(&m, &m, pprojection);
1729 } else {
1730 D3DXMatrixMultiply(&m, pview, pprojection);
1731 }
1732 D3DXMatrixInverse(&m, NULL, &m);
1733 out.x = 2.0f * ( pv->x - pviewport->X ) / pviewport->Width - 1.0f;
1734 out.y = 1.0f - 2.0f * ( pv->y - pviewport->Y ) / pviewport->Height;
1735 out.z = ( pv->z - pviewport->MinZ) / ( pviewport->MaxZ - pviewport->MinZ );
1736 D3DXVec3TransformCoord(&out, &out, &m);
1737 *pout = out;
1738 return pout;
1739 }
1740
1741 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)
1742 {
1743 UINT i;
1744
1745 for (i = 0; i < elements; ++i) {
1746 D3DXVec3Unproject(
1747 (D3DXVECTOR3*)((char*)out + outstride * i),
1748 (CONST D3DXVECTOR3*)((const char*)in + instride * i),
1749 viewport, projection, view, world);
1750 }
1751 return out;
1752 }
1753
1754 /*_________________D3DXVec4_____________________*/
1755
1756 D3DXVECTOR4* WINAPI D3DXVec4BaryCentric(D3DXVECTOR4 *pout, CONST D3DXVECTOR4 *pv1, CONST D3DXVECTOR4 *pv2, CONST D3DXVECTOR4 *pv3, FLOAT f, FLOAT g)
1757 {
1758 pout->x = (1.0f-f-g) * (pv1->x) + f * (pv2->x) + g * (pv3->x);
1759 pout->y = (1.0f-f-g) * (pv1->y) + f * (pv2->y) + g * (pv3->y);
1760 pout->z = (1.0f-f-g) * (pv1->z) + f * (pv2->z) + g * (pv3->z);
1761 pout->w = (1.0f-f-g) * (pv1->w) + f * (pv2->w) + g * (pv3->w);
1762 return pout;
1763 }
1764
1765 D3DXVECTOR4* WINAPI D3DXVec4CatmullRom(D3DXVECTOR4 *pout, CONST D3DXVECTOR4 *pv0, CONST D3DXVECTOR4 *pv1, CONST D3DXVECTOR4 *pv2, CONST D3DXVECTOR4 *pv3, FLOAT s)
1766 {
1767 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);
1768 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);
1769 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);
1770 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);
1771 return pout;
1772 }
1773
1774 D3DXVECTOR4* WINAPI D3DXVec4Cross(D3DXVECTOR4 *pout, CONST D3DXVECTOR4 *pv1, CONST D3DXVECTOR4 *pv2, CONST D3DXVECTOR4 *pv3)
1775 {
1776 D3DXVECTOR4 out;
1777 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);
1778 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));
1779 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);
1780 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));
1781 *pout = out;
1782 return pout;
1783 }
1784
1785 D3DXVECTOR4* WINAPI D3DXVec4Hermite(D3DXVECTOR4 *pout, CONST D3DXVECTOR4 *pv1, CONST D3DXVECTOR4 *pt1, CONST D3DXVECTOR4 *pv2, CONST D3DXVECTOR4 *pt2, FLOAT s)
1786 {
1787 FLOAT h1, h2, h3, h4;
1788
1789 h1 = 2.0f * s * s * s - 3.0f * s * s + 1.0f;
1790 h2 = s * s * s - 2.0f * s * s + s;
1791 h3 = -2.0f * s * s * s + 3.0f * s * s;
1792 h4 = s * s * s - s * s;
1793
1794 pout->x = h1 * (pv1->x) + h2 * (pt1->x) + h3 * (pv2->x) + h4 * (pt2->x);
1795 pout->y = h1 * (pv1->y) + h2 * (pt1->y) + h3 * (pv2->y) + h4 * (pt2->y);
1796 pout->z = h1 * (pv1->z) + h2 * (pt1->z) + h3 * (pv2->z) + h4 * (pt2->z);
1797 pout->w = h1 * (pv1->w) + h2 * (pt1->w) + h3 * (pv2->w) + h4 * (pt2->w);
1798 return pout;
1799 }
1800
1801 D3DXVECTOR4* WINAPI D3DXVec4Normalize(D3DXVECTOR4 *pout, CONST D3DXVECTOR4 *pv)
1802 {
1803 D3DXVECTOR4 out;
1804 FLOAT norm;
1805
1806 norm = D3DXVec4Length(pv);
1807
1808 out.x = pv->x / norm;
1809 out.y = pv->y / norm;
1810 out.z = pv->z / norm;
1811 out.w = pv->w / norm;
1812
1813 *pout = out;
1814 return pout;
1815 }
1816
1817 D3DXVECTOR4* WINAPI D3DXVec4Transform(D3DXVECTOR4 *pout, CONST D3DXVECTOR4 *pv, CONST D3DXMATRIX *pm)
1818 {
1819 D3DXVECTOR4 out;
1820 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;
1821 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;
1822 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;
1823 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;
1824 *pout = out;
1825 return pout;
1826 }
1827
1828 D3DXVECTOR4* WINAPI D3DXVec4TransformArray(D3DXVECTOR4* out, UINT outstride, CONST D3DXVECTOR4* in, UINT instride, CONST D3DXMATRIX* matrix, UINT elements)
1829 {
1830 UINT i;
1831
1832 for (i = 0; i < elements; ++i) {
1833 D3DXVec4Transform(
1834 (D3DXVECTOR4*)((char*)out + outstride * i),
1835 (CONST D3DXVECTOR4*)((const char*)in + instride * i),
1836 matrix);
1837 }
1838 return out;
1839 }
1840
1841 static inline unsigned short float_32_to_16(const float in)
1842 {
1843 int exp = 0, origexp;
1844 float tmp = fabs(in);
1845 int sign = (copysignf(1, in) < 0);
1846 unsigned int mantissa;
1847 unsigned short ret;
1848
1849 /* Deal with special numbers */
1850 if (isinf(in)) return (sign ? 0xffff : 0x7fff);
1851 if (isnan(in)) return (sign ? 0xffff : 0x7fff);
1852 if (in == 0.0f) return (sign ? 0x8000 : 0x0000);
1853
1854 if (tmp < powf(2, 10))
1855 {
1856 do
1857 {
1858 tmp *= 2.0f;
1859 exp--;
1860 } while (tmp < powf(2, 10));
1861 }
1862 else if (tmp >= powf(2, 11))
1863 {
1864 do
1865 {
1866 tmp /= 2.0f;
1867 exp++;
1868 } while (tmp >= powf(2, 11));
1869 }
1870
1871 exp += 10; /* Normalize the mantissa */
1872 exp += 15; /* Exponent is encoded with excess 15 */
1873
1874 origexp = exp;
1875
1876 mantissa = (unsigned int) tmp;
1877 if ((tmp - mantissa == 0.5f && mantissa % 2 == 1) || /* round half to even */
1878 (tmp - mantissa > 0.5f))
1879 {
1880 mantissa++; /* round to nearest, away from zero */
1881 }
1882 if (mantissa == 2048)
1883 {
1884 mantissa = 1024;
1885 exp++;
1886 }
1887
1888 if (exp > 31)
1889 {
1890 /* too big */
1891 ret = 0x7fff; /* INF */
1892 }
1893 else if (exp <= 0)
1894 {
1895 unsigned int rounding = 0;
1896
1897 /* Denormalized half float */
1898
1899 /* return 0x0000 (=0.0) for numbers too small to represent in half floats */
1900 if (exp < -11)
1901 return (sign ? 0x8000 : 0x0000);
1902
1903 exp = origexp;
1904
1905 /* the 13 extra bits from single precision are used for rounding */
1906 mantissa = (unsigned int)(tmp * powf(2, 13));
1907 mantissa >>= 1 - exp; /* denormalize */
1908
1909 mantissa -= ~(mantissa >> 13) & 1; /* round half to even */
1910 /* remove 13 least significant bits to get half float precision */
1911 mantissa >>= 12;
1912 rounding = mantissa & 1;
1913 mantissa >>= 1;
1914
1915 ret = mantissa + rounding;
1916 }
1917 else
1918 {
1919 ret = (exp << 10) | (mantissa & 0x3ff);
1920 }
1921
1922 ret |= ((sign ? 1 : 0) << 15); /* Add the sign */
1923 return ret;
1924 }
1925
1926 D3DXFLOAT16 *WINAPI D3DXFloat32To16Array(D3DXFLOAT16 *pout, CONST FLOAT *pin, UINT n)
1927 {
1928 unsigned int i;
1929
1930 for (i = 0; i < n; ++i)
1931 {
1932 pout[i].value = float_32_to_16(pin[i]);
1933 }
1934
1935 return pout;
1936 }
1937
1938 /* Native d3dx9's D3DXFloat16to32Array lacks support for NaN and Inf. Specifically, e = 16 is treated as a
1939 * regular number - e.g., 0x7fff is converted to 131008.0 and 0xffff to -131008.0. */
1940 static inline float float_16_to_32(const unsigned short in)
1941 {
1942 const unsigned short s = (in & 0x8000);
1943 const unsigned short e = (in & 0x7C00) >> 10;
1944 const unsigned short m = in & 0x3FF;
1945 const float sgn = (s ? -1.0f : 1.0f);
1946
1947 if (e == 0)
1948 {
1949 if (m == 0) return sgn * 0.0f; /* +0.0 or -0.0 */
1950 else return sgn * powf(2, -14.0f) * (m / 1024.0f);
1951 }
1952 else
1953 {
1954 return sgn * powf(2, e - 15.0f) * (1.0f + (m / 1024.0f));
1955 }
1956 }
1957
1958 FLOAT *WINAPI D3DXFloat16To32Array(FLOAT *pout, CONST D3DXFLOAT16 *pin, UINT n)
1959 {
1960 unsigned int i;
1961
1962 for (i = 0; i < n; ++i)
1963 {
1964 pout[i] = float_16_to_32(pin[i].value);
1965 }
1966
1967 return pout;
1968 }
1969
1970 /*_________________D3DXSH________________*/
1971
1972 FLOAT* WINAPI D3DXSHAdd(FLOAT *out, UINT order, const FLOAT *a, const FLOAT *b)
1973 {
1974 UINT i;
1975
1976 TRACE("out %p, order %u, a %p, b %p\n", out, order, a, b);
1977
1978 for (i = 0; i < order * order; i++)
1979 out[i] = a[i] + b[i];
1980
1981 return out;
1982 }
1983
1984 FLOAT WINAPI D3DXSHDot(UINT order, CONST FLOAT *a, CONST FLOAT *b)
1985 {
1986 FLOAT s;
1987 UINT i;
1988
1989 TRACE("order %u, a %p, b %p\n", order, a, b);
1990
1991 s = a[0] * b[0];
1992 for (i = 1; i < order * order; i++)
1993 s += a[i] * b[i];
1994
1995 return s;
1996 }
1997
1998 FLOAT* WINAPI D3DXSHMultiply3(FLOAT *out, CONST FLOAT *a, CONST FLOAT *b)
1999 {
2000 FLOAT t, ta, tb;
2001
2002 TRACE("(%p, %p, %p)\n", out, a, b);
2003
2004 out[0]= 0.28209479f * a[0] * b[0];
2005
2006 ta = 0.28209479f * a[0] - 0.12615662f * a[6] - 0.21850968f * a[8];
2007 tb = 0.28209479f * b[0] - 0.12615662f * b[6] - 0.21850968f * b[8];
2008 out[1] = ta * b[1] + tb * a[1];
2009 t = a[1] * b[1];
2010 out[0] += 0.28209479f * t;
2011 out[6] = -0.12615662f * t;
2012 out[8] = -0.21850968f * t;
2013
2014 ta = 0.21850968f * a[5];
2015 tb = 0.21850968f * b[5];
2016 out[1] += ta * b[2] + tb * a[2];
2017 out[2] = ta * b[1] + tb * a[1];
2018 t = a[1] * b[2] +a[2] * b[1];
2019 out[5] = 0.21850968f * t;
2020
2021 ta = 0.21850968f * a[4];
2022 tb = 0.21850968f * b[4];
2023 out[1] += ta * b[3] + tb * a[3];
2024 out[3] = ta * b[1] + tb * a[1];
2025 t = a[1] * b[3] + a[3] * b[1];
2026 out[4] = 0.21850968f * t;
2027
2028 ta = 0.28209480f * a[0] + 0.25231326f * a[6];
2029 tb = 0.28209480f * b[0] + 0.25231326f * b[6];
2030 out[2] += ta * b[2] + tb * a[2];
2031 t = a[2] * b[2];
2032 out[0] += 0.28209480f * t;
2033 out[6] += 0.25231326f * t;
2034
2035 ta = 0.21850969f * a[7];
2036 tb = 0.21850969f * b[7];
2037 out[2] += ta * b[3] + tb * a[3];
2038 out[3] += ta * b[2] + tb * a[2];
2039 t = a[2] * b[3] + a[3] * b[2];
2040 out[7] = 0.21850969f * t;
2041
2042 ta = 0.28209479f * a[0] - 0.12615663f * a[6] + 0.21850969f * a[8];
2043 tb = 0.28209479f * b[0] - 0.12615663f * b[6] + 0.21850969f * b[8];
2044 out[3] += ta * b[3] + tb * a[3];
2045 t = a[3] * b[3];
2046 out[0] += 0.28209479f * t;
2047 out[6] -= 0.12615663f * t;
2048 out[8] += 0.21850969f * t;
2049
2050 ta = 0.28209479f * a[0] - 0.18022375f * a[6];
2051 tb = 0.28209479f * b[0] - 0.18022375f * b[6];
2052 out[4] += ta * b[4] + tb * a[4];
2053 t = a[4] * b[4];
2054 out[0] += 0.28209479f * t;
2055 out[6] -= 0.18022375f * t;
2056
2057 ta = 0.15607835f * a[7];
2058 tb = 0.15607835f * b[7];
2059 out[4] += ta * b[5] + tb * a[5];
2060 out[5] += ta * b[4] + tb * a[4];
2061 t = a[4] * b[5] + a[5] * b[4];
2062 out[7] += 0.15607834f * t;
2063
2064 ta = 0.28209479f * a[0] + 0.09011186 * a[6] - 0.15607835f * a[8];
2065 tb = 0.28209479f * b[0] + 0.09011186 * b[6] - 0.15607835f * b[8];
2066 out[5] += ta * b[5] + tb * a[5];
2067 t = a[5] * b[5];
2068 out[0] += 0.28209479f * t;
2069 out[6] += 0.09011186f * t;
2070 out[8] -= 0.15607835f * t;
2071
2072 ta = 0.28209480f * a[0];
2073 tb = 0.28209480f * b[0];
2074 out[6] += ta * b[6] + tb * a[6];
2075 t = a[6] * b[6];
2076 out[0] += 0.28209480f * t;
2077 out[6] += 0.18022376f * t;
2078
2079 ta = 0.28209479f * a[0] + 0.09011186 * a[6] + 0.15607835f * a[8];
2080 tb = 0.28209479f * b[0] + 0.09011186 * b[6] + 0.15607835f * b[8];
2081 out[7] += ta * b[7] + tb * a[7];
2082 t = a[7] * b[7];
2083 out[0] += 0.28209479f * t;
2084 out[6] += 0.09011186f * t;
2085 out[8] += 0.15607835f * t;
2086
2087 ta = 0.28209479f * a[0] - 0.18022375f * a[6];
2088 tb = 0.28209479f * b[0] - 0.18022375f * b[6];
2089 out[8] += ta * b[8] + tb * a[8];
2090 t = a[8] * b[8];
2091 out[0] += 0.28209479f * t;
2092 out[6] -= 0.18022375f * t;
2093
2094 return out;
2095 }
2096
2097 FLOAT* WINAPI D3DXSHScale(FLOAT *out, UINT order, CONST FLOAT *a, CONST FLOAT scale)
2098 {
2099 UINT i;
2100
2101 TRACE("out %p, order %u, a %p, scale %f\n", out, order, a, scale);
2102
2103 for (i = 0; i < order * order; i++)
2104 out[i] = a[i] * scale;
2105
2106 return out;
2107 }
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