收集几个d3d算法

2016-6-14 admin 备忘 

http://source.winehq.org/git/wine.git/blob/16a8efa410859fcaadc80b931fb1949a086ece4d:/dlls/d3dx8/math.c
 

 projects / wine.git / blob




 

   ? search:  
 





 summary | shortlog | log | commit | commitdiff | tree blame | history | raw | HEAD 




 d3dx8: Implement D3DXQuaternionRotationYawPitchRoll.




 [wine.git] / dlls / d3dx8 / math.c 




 

  1 /*
 

 

  2 * Copyright 2007 David Adam
 

 

  3 *
 

 

  4 * This library is free software; you can redistribute it and/or
 

 

  5 * modify it under the terms of the GNU Lesser General Public
 

 

  6 * License as published by the Free Software Foundation; either
 

 

  7 * version 2.1 of the License, or (at your option) any later version.
 

 

  8 *
 

 

  9 * This library is distributed in the hope that it will be useful,
 

 

  10 * but WITHOUT ANY WARRANTY; without even the implied warranty of
 

 

  11 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
 

 

  12 * Lesser General Public License for more details.
 

 

  13 *
 

 

  14 * You should have received a copy of the GNU Lesser General Public
 

 

  15 * License along with this library; if not, write to the Free Software
 

 

  16 * Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301, USA
 

 

  17 */
 

 

  18 
 

 

  19 #include <stdio.h>
 

 

  20 #include <stdlib.h>
 

 

  21 #include <stdarg.h>
 

 

  22 #include <assert.h>
 

 

  23 
 

 

  24 #define NONAMELESSUNION
 

 

  25 
 

 

  26 #include "windef.h"
 

 

  27 #include "winbase.h"
 

 

  28 #include "wingdi.h"
 

 

  29 #include "d3dx8.h"
 

 

  30 
 

 

  31 #include "wine/debug.h"
 

 

  32 
 

 

  33 WINE_DEFAULT_DEBUG_CHANNEL(d3dx8);
 

 

  34 
 

 

  35 /*_________________D3DXColor____________________*/
 

 

  36 
 

 

  37 D3DXCOLOR* WINAPI D3DXColorAdjustContrast(D3DXCOLOR *pout, CONST D3DXCOLOR *pc, FLOAT s)
 

 

  38 {
 

 

  39 pout->r = 0.5f + s * (pc->r - 0.5f);
 

 

  40 pout->g = 0.5f + s * (pc->g - 0.5f);
 

 

  41 pout->b = 0.5f + s * (pc->b - 0.5f);
 

 

  42 pout->a = pc->a;
 

 

  43 return pout;
 

 

  44 }
 

 

  45 
 

 

  46 D3DXCOLOR* WINAPI D3DXColorAdjustSaturation(D3DXCOLOR *pout, CONST D3DXCOLOR *pc, FLOAT s)
 

 

  47 {
 

 

  48 FLOAT grey;
 

 

  49 
 

 

  50 grey = pc->r * 0.2125f + pc->g * 0.7154f + pc->b * 0.0721f;
 

 

  51 pout->r = grey + s * (pc->r - grey);
 

 

  52 pout->g = grey + s * (pc->g - grey);
 

 

  53 pout->b = grey + s * (pc->b - grey);
 

 

  54 pout->a = pc->a;
 

 

  55 return pout;
 

 

  56 }
 

 

  57 
 

 

  58 /*_________________D3DXMatrix____________________*/
 

 

  59 
 

 

  60 D3DXMATRIX* WINAPI D3DXMatrixAffineTransformation(D3DXMATRIX *pout, float scaling, D3DXVECTOR3 *rotationcenter, D3DXQUATERNION *rotation, D3DXVECTOR3 *translation)
 

 

  61 {
 

 

  62 D3DXMATRIX m1, m2, m3, m4, m5, p1, p2, p3;
 

 

  63 
 

 

  64 D3DXMatrixScaling(&m1, scaling, scaling, scaling);
 

 

  65 if ( !rotationcenter )
 

 

  66 {
 

 

  67 D3DXMatrixIdentity(&m2);
 

 

  68 D3DXMatrixIdentity(&m4);
 

 

  69 }
 

 

  70 else
 

 

  71 {
 

 

  72 D3DXMatrixTranslation(&m2, -rotationcenter->x, -rotationcenter->y, -rotationcenter->z);
 

 

  73 D3DXMatrixTranslation(&m4, rotationcenter->x, rotationcenter->y, rotationcenter->z);
 

 

  74 }
 

 

  75 if ( !rotation )
 

 

  76 {
 

 

  77 D3DXMatrixIdentity(&m3);
 

 

  78 }
 

 

  79 else
 

 

  80 {
 

 

  81 D3DXMatrixRotationQuaternion(&m3, rotation);
 

 

  82 }
 

 

  83 if ( !translation )
 

 

  84 {
 

 

  85 D3DXMatrixIdentity(&m5);
 

 

  86 }
 

 

  87 else
 

 

  88 {
 

 

  89 D3DXMatrixTranslation(&m5, translation->x, translation->y, translation->z);
 

 

  90 }
 

 

  91 D3DXMatrixMultiply(&p1, &m1, &m2);
 

 

  92 D3DXMatrixMultiply(&p2, &p1, &m3);
 

 

  93 D3DXMatrixMultiply(&p3, &p2, &m4);
 

 

  94 D3DXMatrixMultiply(pout, &p3, &m5);
 

 

  95 return pout;
 

 

  96 }
 

 

  97 
 

 

  98 FLOAT WINAPI D3DXMatrixfDeterminant(CONST D3DXMATRIX *pm)
 

 

  99 {
 

 

  100 D3DXVECTOR4 minor, v1, v2, v3;
 

 

  101 FLOAT det;
 

 

  102 
 

 

  103 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];
 

 

  104 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];
 

 

  105 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];
 

 

  106 D3DXVec4Cross(&minor,&v1,&v2,&v3);
 

 

  107 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);
 

 

  108 return det;
 

 

  109 }
 

 

  110 
 

 

  111 D3DXMATRIX* WINAPI D3DXMatrixInverse(D3DXMATRIX *pout, FLOAT *pdeterminant, CONST D3DXMATRIX *pm)
 

 

  112 {
 

 

  113 int a, i, j;
 

 

  114 D3DXVECTOR4 v, vec[3];
 

 

  115 FLOAT cofactor, det;
 

 

  116 
 

 

  117 det = D3DXMatrixfDeterminant(pm);
 

 

  118 if ( !det ) return NULL;
 

 

  119 if ( pdeterminant ) *pdeterminant = det;
 

 

  120 for (i=0; i<4; i++)
 

 

  121 {
 

 

  122 for (j=0; j<4; j++)
 

 

  123 {
 

 

  124 if (j != i )
 

 

  125 {
 

 

  126 a = j;
 

 

  127 if ( j > i ) a = a-1;
 

 

  128 vec[a].x = pm->u.m[j][0];
 

 

  129 vec[a].y = pm->u.m[j][1];
 

 

  130 vec[a].z = pm->u.m[j][2];
 

 

  131 vec[a].w = pm->u.m[j][3];
 

 

  132 }
 

 

  133 }
 

 

  134 D3DXVec4Cross(&v, &vec[0], &vec[1], &vec[2]);
 

 

  135 for (j=0; j<4; j++)
 

 

  136 {
 

 

  137 switch(j)
 

 

  138 {
 

 

  139 case 0: cofactor = v.x; break;
 

 

  140 case 1: cofactor = v.y; break;
 

 

  141 case 2: cofactor = v.z; break;
 

 

  142 case 3: cofactor = v.w; break;
 

 

  143 }
 

 

  144 pout->u.m[j][i] = pow(-1.0f, i) * cofactor / det;
 

 

  145 }
 

 

  146 }
 

 

  147 return pout;
 

 

  148 }
 

 

  149 
 

 

  150 D3DXMATRIX* WINAPI D3DXMatrixLookAtLH(D3DXMATRIX *pout, CONST D3DXVECTOR3 *peye, CONST D3DXVECTOR3 *pat, CONST D3DXVECTOR3 *pup)
 

 

  151 {
 

 

  152 D3DXVECTOR3 right, rightn, up, upn, vec, vec2;
 

 

  153 
 

 

  154 D3DXVec3Subtract(&vec2, pat, peye);
 

 

  155 D3DXVec3Normalize(&vec, &vec2);
 

 

  156 D3DXVec3Cross(&right, pup, &vec);
 

 

  157 D3DXVec3Cross(&up, &vec, &right);
 

 

  158 D3DXVec3Normalize(&rightn, &right);
 

 

  159 D3DXVec3Normalize(&upn, &up);
 

 

  160 pout->u.m[0][0] = rightn.x;
 

 

  161 pout->u.m[1][0] = rightn.y;
 

 

  162 pout->u.m[2][0] = rightn.z;
 

 

  163 pout->u.m[3][0] = -D3DXVec3Dot(&rightn,peye);
 

 

  164 pout->u.m[0][1] = upn.x;
 

 

  165 pout->u.m[1][1] = upn.y;
 

 

  166 pout->u.m[2][1] = upn.z;
 

 

  167 pout->u.m[3][1] = -D3DXVec3Dot(&upn, peye);
 

 

  168 pout->u.m[0][2] = vec.x;
 

 

  169 pout->u.m[1][2] = vec.y;
 

 

  170 pout->u.m[2][2] = vec.z;
 

 

  171 pout->u.m[3][2] = -D3DXVec3Dot(&vec, peye);
 

 

  172 pout->u.m[0][3] = 0.0f;
 

 

  173 pout->u.m[1][3] = 0.0f;
 

 

  174 pout->u.m[2][3] = 0.0f;
 

 

  175 pout->u.m[3][3] = 1.0f;
 

 

  176 return pout;
 

 

  177 }
 

 

  178 
 

 

  179 D3DXMATRIX* WINAPI D3DXMatrixLookAtRH(D3DXMATRIX *pout, CONST D3DXVECTOR3 *peye, CONST D3DXVECTOR3 *pat, CONST D3DXVECTOR3 *pup)
 

 

  180 {
 

 

  181 D3DXVECTOR3 right, rightn, up, upn, vec, vec2;
 

 

  182 
 

 

  183 D3DXVec3Subtract(&vec2, pat, peye);
 

 

  184 D3DXVec3Normalize(&vec, &vec2);
 

 

  185 D3DXVec3Cross(&right, pup, &vec);
 

 

  186 D3DXVec3Cross(&up, &vec, &right);
 

 

  187 D3DXVec3Normalize(&rightn, &right);
 

 

  188 D3DXVec3Normalize(&upn, &up);
 

 

  189 pout->u.m[0][0] = -rightn.x;
 

 

  190 pout->u.m[1][0] = -rightn.y;
 

 

  191 pout->u.m[2][0] = -rightn.z;
 

 

  192 pout->u.m[3][0] = D3DXVec3Dot(&rightn,peye);
 

 

  193 pout->u.m[0][1] = upn.x;
 

 

  194 pout->u.m[1][1] = upn.y;
 

 

  195 pout->u.m[2][1] = upn.z;
 

 

  196 pout->u.m[3][1] = -D3DXVec3Dot(&upn, peye);
 

 

  197 pout->u.m[0][2] = -vec.x;
 

 

  198 pout->u.m[1][2] = -vec.y;
 

 

  199 pout->u.m[2][2] = -vec.z;
 

 

  200 pout->u.m[3][2] = D3DXVec3Dot(&vec, peye);
 

 

  201 pout->u.m[0][3] = 0.0f;
 

 

  202 pout->u.m[1][3] = 0.0f;
 

 

  203 pout->u.m[2][3] = 0.0f;
 

 

  204 pout->u.m[3][3] = 1.0f;
 

 

  205 return pout;
 

 

  206 }
 

 

  207 
 

 

  208 D3DXMATRIX* WINAPI D3DXMatrixMultiply(D3DXMATRIX *pout, CONST D3DXMATRIX *pm1, CONST D3DXMATRIX *pm2)
 

 

  209 {
 

 

  210 int i,j;
 

 

  211 
 

 

  212 for (i=0; i<4; i++)
 

 

  213 {
 

 

  214 for (j=0; j<4; j++)
 

 

  215 {
 

 

  216 pout->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];
 

 

  217 }
 

 

  218 }
 

 

  219 return pout;
 

 

  220 }
 

 

  221 
 

 

  222 D3DXMATRIX* WINAPI D3DXMatrixMultiplyTranspose(D3DXMATRIX *pout, CONST D3DXMATRIX *pm1, CONST D3DXMATRIX *pm2)
 

 

  223 {
 

 

  224 D3DXMATRIX temp;
 

 

  225 
 

 

  226 D3DXMatrixMultiply(&temp, pm1, pm2);
 

 

  227 D3DXMatrixTranspose(pout, &temp);
 

 

  228 return pout;
 

 

  229 }
 

 

  230 
 

 

  231 D3DXMATRIX* WINAPI D3DXMatrixOrthoLH(D3DXMATRIX *pout, FLOAT w, FLOAT h, FLOAT zn, FLOAT zf)
 

 

  232 {
 

 

  233 D3DXMatrixIdentity(pout);
 

 

  234 pout->u.m[0][0] = 2.0f / w;
 

 

  235 pout->u.m[1][1] = 2.0f / h;
 

 

  236 pout->u.m[2][2] = 1.0f / (zf - zn);
 

 

  237 pout->u.m[3][2] = zn / (zn - zf);
 

 

  238 return pout;
 

 

  239 }
 

 

  240 
 

 

  241 D3DXMATRIX* WINAPI D3DXMatrixOrthoOffCenterLH(D3DXMATRIX *pout, FLOAT l, FLOAT r, FLOAT b, FLOAT t, FLOAT zn, FLOAT zf)
 

 

  242 {
 

 

  243 D3DXMatrixIdentity(pout);
 

 

  244 pout->u.m[0][0] = 2.0f / (r - l);
 

 

  245 pout->u.m[1][1] = 2.0f / (t - b);
 

 

  246 pout->u.m[2][2] = 1.0f / (zf -zn);
 

 

  247 pout->u.m[3][0] = -1.0f -2.0f *l / (r - l);
 

 

  248 pout->u.m[3][1] = 1.0f + 2.0f * t / (b - t);
 

 

  249 pout->u.m[3][2] = zn / (zn -zf);
 

 

  250 return pout;
 

 

  251 }
 

 

  252 
 

 

  253 D3DXMATRIX* WINAPI D3DXMatrixOrthoOffCenterRH(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 / (zn -zf);
 

 

  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 D3DXMatrixOrthoRH(D3DXMATRIX *pout, FLOAT w, FLOAT h, FLOAT zn, FLOAT zf)
 

 

  266 {
 

 

  267 D3DXMatrixIdentity(pout);
 

 

  268 pout->u.m[0][0] = 2.0f / w;
 

 

  269 pout->u.m[1][1] = 2.0f / h;
 

 

  270 pout->u.m[2][2] = 1.0f / (zn - zf);
 

 

  271 pout->u.m[3][2] = zn / (zn - zf);
 

 

  272 return pout;
 

 

  273 }
 

 

  274 
 

 

  275 D3DXMATRIX* WINAPI D3DXMatrixPerspectiveFovLH(D3DXMATRIX *pout, FLOAT fovy, FLOAT aspect, FLOAT zn, FLOAT zf)
 

 

  276 {
 

 

  277 D3DXMatrixIdentity(pout);
 

 

  278 pout->u.m[0][0] = 1.0f / (aspect * tan(fovy/2.0f));
 

 

  279 pout->u.m[1][1] = 1.0f / tan(fovy/2.0f);
 

 

  280 pout->u.m[2][2] = zf / (zf - zn);
 

 

  281 pout->u.m[2][3] = 1.0f;
 

 

  282 pout->u.m[3][2] = (zf * zn) / (zn - zf);
 

 

  283 pout->u.m[3][3] = 0.0f;
 

 

  284 return pout;
 

 

  285 }
 

 

  286 
 

 

  287 D3DXMATRIX* WINAPI D3DXMatrixPerspectiveFovRH(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 / (zn - zf);
 

 

  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 D3DXMatrixPerspectiveLH(D3DXMATRIX *pout, FLOAT w, FLOAT h, FLOAT zn, FLOAT zf)
 

 

  300 {
 

 

  301 D3DXMatrixIdentity(pout);
 

 

  302 pout->u.m[0][0] = 2.0f * zn / w;
 

 

  303 pout->u.m[1][1] = 2.0f * zn / h;
 

 

  304 pout->u.m[2][2] = zf / (zf - zn);
 

 

  305 pout->u.m[3][2] = (zn * zf) / (zn - zf);
 

 

  306 pout->u.m[2][3] = 1.0f;
 

 

  307 pout->u.m[3][3] = 0.0f;
 

 

  308 return pout;
 

 

  309 }
 

 

  310 
 

 

  311 D3DXMATRIX* WINAPI D3DXMatrixPerspectiveOffCenterLH(D3DXMATRIX *pout, FLOAT l, FLOAT r, FLOAT b, FLOAT t, FLOAT zn, FLOAT zf)
 

 

  312 {
 

 

  313 D3DXMatrixIdentity(pout);
 

 

  314 pout->u.m[0][0] = 2.0f * zn / (r - l);
 

 

  315 pout->u.m[1][1] = -2.0f * zn / (b - t);
 

 

  316 pout->u.m[2][0] = -1.0f - 2.0f * l / (r - l);
 

 

  317 pout->u.m[2][1] = 1.0f + 2.0f * t / (b - t);
 

 

  318 pout->u.m[2][2] = - zf / (zn - zf);
 

 

  319 pout->u.m[3][2] = (zn * zf) / (zn -zf);
 

 

  320 pout->u.m[2][3] = 1.0f;
 

 

  321 pout->u.m[3][3] = 0.0f;
 

 

  322 return pout;
 

 

  323 }
 

 

  324 
 

 

  325 D3DXMATRIX* WINAPI D3DXMatrixPerspectiveOffCenterRH(D3DXMATRIX *pout, FLOAT l, FLOAT r, FLOAT b, FLOAT t, FLOAT zn, FLOAT zf)
 

 

  326 {
 

 

  327 D3DXMatrixIdentity(pout);
 

 

  328 pout->u.m[0][0] = 2.0f * zn / (r - l);
 

 

  329 pout->u.m[1][1] = -2.0f * zn / (b - t);
 

 

  330 pout->u.m[2][0] = 1.0f + 2.0f * l / (r - l);
 

 

  331 pout->u.m[2][1] = -1.0f -2.0f * t / (b - t);
 

 

  332 pout->u.m[2][2] = zf / (zn - zf);
 

 

  333 pout->u.m[3][2] = (zn * zf) / (zn -zf);
 

 

  334 pout->u.m[2][3] = -1.0f;
 

 

  335 pout->u.m[3][3] = 0.0f;
 

 

  336 return pout;
 

 

  337 }
 

 

  338 
 

 

  339 D3DXMATRIX* WINAPI D3DXMatrixPerspectiveRH(D3DXMATRIX *pout, FLOAT w, FLOAT h, FLOAT zn, FLOAT zf)
 

 

  340 {
 

 

  341 D3DXMatrixIdentity(pout);
 

 

  342 pout->u.m[0][0] = 2.0f * zn / w;
 

 

  343 pout->u.m[1][1] = 2.0f * zn / h;
 

 

  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 D3DXMatrixReflect(D3DXMATRIX *pout, CONST D3DXPLANE *pplane)
 

 

  352 {
 

 

  353 D3DXPLANE Nplane;
 

 

  354 
 

 

  355 D3DXPlaneNormalize(&Nplane, pplane);
 

 

  356 D3DXMatrixIdentity(pout);
 

 

  357 pout->u.m[0][0] = 1.0f - 2.0f * Nplane.a * Nplane.a;
 

 

  358 pout->u.m[0][1] = -2.0f * Nplane.a * Nplane.b;
 

 

  359 pout->u.m[0][2] = -2.0f * Nplane.a * Nplane.c;
 

 

  360 pout->u.m[1][0] = -2.0f * Nplane.a * Nplane.b;
 

 

  361 pout->u.m[1][1] = 1.0f - 2.0f * Nplane.b * Nplane.b;
 

 

  362 pout->u.m[1][2] = -2.0f * Nplane.b * Nplane.c;
 

 

  363 pout->u.m[2][0] = -2.0f * Nplane.c * Nplane.a;
 

 

  364 pout->u.m[2][1] = -2.0f * Nplane.c * Nplane.b;
 

 

  365 pout->u.m[2][2] = 1.0f - 2.0f * Nplane.c * Nplane.c;
 

 

  366 pout->u.m[3][0] = -2.0f * Nplane.d * Nplane.a;
 

 

  367 pout->u.m[3][1] = -2.0f * Nplane.d * Nplane.b;
 

 

  368 pout->u.m[3][2] = -2.0f * Nplane.d * Nplane.c;
 

 

  369 return pout;
 

 

  370 }
 

 

  371 
 

 

  372 D3DXMATRIX* WINAPI D3DXMatrixRotationAxis(D3DXMATRIX *pout, CONST D3DXVECTOR3 *pv, FLOAT angle)
 

 

  373 {
 

 

  374 D3DXVECTOR3 v;
 

 

  375 
 

 

  376 D3DXVec3Normalize(&v,pv);
 

 

  377 D3DXMatrixIdentity(pout);
 

 

  378 pout->u.m[0][0] = (1.0f - cos(angle)) * v.x * v.x + cos(angle);
 

 

  379 pout->u.m[1][0] = (1.0f - cos(angle)) * v.x * v.y - sin(angle) * v.z;
 

 

  380 pout->u.m[2][0] = (1.0f - cos(angle)) * v.x * v.z + sin(angle) * v.y;
 

 

  381 pout->u.m[0][1] = (1.0f - cos(angle)) * v.y * v.x + sin(angle) * v.z;
 

 

  382 pout->u.m[1][1] = (1.0f - cos(angle)) * v.y * v.y + cos(angle);
 

 

  383 pout->u.m[2][1] = (1.0f - cos(angle)) * v.y * v.z - sin(angle) * v.x;
 

 

  384 pout->u.m[0][2] = (1.0f - cos(angle)) * v.z * v.x - sin(angle) * v.y;
 

 

  385 pout->u.m[1][2] = (1.0f - cos(angle)) * v.z * v.y + sin(angle) * v.x;
 

 

  386 pout->u.m[2][2] = (1.0f - cos(angle)) * v.z * v.z + cos(angle);
 

 

  387 return pout;
 

 

  388 }
 

 

  389 
 

 

  390 D3DXMATRIX* WINAPI D3DXMatrixRotationQuaternion(D3DXMATRIX *pout, CONST D3DXQUATERNION *pq)
 

 

  391 {
 

 

  392 D3DXMatrixIdentity(pout);
 

 

  393 pout->u.m[0][0] = 1.0f - 2.0f * (pq->y * pq->y + pq->z * pq->z);
 

 

  394 pout->u.m[0][1] = 2.0f * (pq->x *pq->y + pq->z * pq->w);
 

 

  395 pout->u.m[0][2] = 2.0f * (pq->x * pq->z - pq->y * pq->w);
 

 

  396 pout->u.m[1][0] = 2.0f * (pq->x * pq->y - pq->z * pq->w);
 

 

  397 pout->u.m[1][1] = 1.0f - 2.0f * (pq->x * pq->x + pq->z * pq->z);
 

 

  398 pout->u.m[1][2] = 2.0f * (pq->y *pq->z + pq->x *pq->w);
 

 

  399 pout->u.m[2][0] = 2.0f * (pq->x * pq->z + pq->y * pq->w);
 

 

  400 pout->u.m[2][1] = 2.0f * (pq->y *pq->z - pq->x *pq->w);
 

 

  401 pout->u.m[2][2] = 1.0f - 2.0f * (pq->x * pq->x + pq->y * pq->y);
 

 

  402 return pout;
 

 

  403 }
 

 

  404 
 

 

  405 D3DXMATRIX* WINAPI D3DXMatrixRotationX(D3DXMATRIX *pout, FLOAT angle)
 

 

  406 {
 

 

  407 D3DXMatrixIdentity(pout);
 

 

  408 pout->u.m[1][1] = cos(angle);
 

 

  409 pout->u.m[2][2] = cos(angle);
 

 

  410 pout->u.m[1][2] = sin(angle);
 

 

  411 pout->u.m[2][1] = -sin(angle);
 

 

  412 return pout;
 

 

  413 }
 

 

  414 
 

 

  415 D3DXMATRIX* WINAPI D3DXMatrixRotationY(D3DXMATRIX *pout, FLOAT angle)
 

 

  416 {
 

 

  417 D3DXMatrixIdentity(pout);
 

 

  418 pout->u.m[0][0] = cos(angle);
 

 

  419 pout->u.m[2][2] = cos(angle);
 

 

  420 pout->u.m[0][2] = -sin(angle);
 

 

  421 pout->u.m[2][0] = sin(angle);
 

 

  422 return pout;
 

 

  423 }
 

 

  424 
 

 

  425 D3DXMATRIX* WINAPI D3DXMatrixRotationYawPitchRoll(D3DXMATRIX *pout, FLOAT yaw, FLOAT pitch, FLOAT roll)
 

 

  426 {
 

 

  427 D3DXMATRIX m, pout1, pout2, pout3;
 

 

  428 
 

 

  429 D3DXMatrixIdentity(&pout3);
 

 

  430 D3DXMatrixRotationZ(&m,roll);
 

 

  431 D3DXMatrixMultiply(&pout2,&pout3,&m);
 

 

  432 D3DXMatrixRotationX(&m,pitch);
 

 

  433 D3DXMatrixMultiply(&pout1,&pout2,&m);
 

 

  434 D3DXMatrixRotationY(&m,yaw);
 

 

  435 D3DXMatrixMultiply(pout,&pout1,&m);
 

 

  436 return pout;
 

 

  437 }
 

 

  438 D3DXMATRIX* WINAPI D3DXMatrixRotationZ(D3DXMATRIX *pout, FLOAT angle)
 

 

  439 {
 

 

  440 D3DXMatrixIdentity(pout);
 

 

  441 pout->u.m[0][0] = cos(angle);
 

 

  442 pout->u.m[1][1] = cos(angle);
 

 

  443 pout->u.m[0][1] = sin(angle);
 

 

  444 pout->u.m[1][0] = -sin(angle);
 

 

  445 return pout;
 

 

  446 }
 

 

  447 
 

 

  448 D3DXMATRIX* WINAPI D3DXMatrixScaling(D3DXMATRIX *pout, FLOAT sx, FLOAT sy, FLOAT sz)
 

 

  449 {
 

 

  450 D3DXMatrixIdentity(pout);
 

 

  451 pout->u.m[0][0] = sx;
 

 

  452 pout->u.m[1][1] = sy;
 

 

  453 pout->u.m[2][2] = sz;
 

 

  454 return pout;
 

 

  455 }
 

 

  456 
 

 

  457 D3DXMATRIX* WINAPI D3DXMatrixShadow(D3DXMATRIX *pout, CONST D3DXVECTOR4 *plight, CONST D3DXPLANE *pplane)
 

 

  458 {
 

 

  459 D3DXPLANE Nplane;
 

 

  460 FLOAT dot;
 

 

  461 
 

 

  462 D3DXPlaneNormalize(&Nplane, pplane);
 

 

  463 dot = D3DXPlaneDot(&Nplane, plight);
 

 

  464 pout->u.m[0][0] = dot - Nplane.a * plight->x;
 

 

  465 pout->u.m[0][1] = -Nplane.a * plight->y;
 

 

  466 pout->u.m[0][2] = -Nplane.a * plight->z;
 

 

  467 pout->u.m[0][3] = -Nplane.a * plight->w;
 

 

  468 pout->u.m[1][0] = -Nplane.b * plight->x;
 

 

  469 pout->u.m[1][1] = dot - Nplane.b * plight->y;
 

 

  470 pout->u.m[1][2] = -Nplane.b * plight->z;
 

 

  471 pout->u.m[1][3] = -Nplane.b * plight->w;
 

 

  472 pout->u.m[2][0] = -Nplane.c * plight->x;
 

 

  473 pout->u.m[2][1] = -Nplane.c * plight->y;
 

 

  474 pout->u.m[2][2] = dot - Nplane.c * plight->z;
 

 

  475 pout->u.m[2][3] = -Nplane.c * plight->w;
 

 

  476 pout->u.m[3][0] = -Nplane.d * plight->x;
 

 

  477 pout->u.m[3][1] = -Nplane.d * plight->y;
 

 

  478 pout->u.m[3][2] = -Nplane.d * plight->z;
 

 

  479 pout->u.m[3][3] = dot - Nplane.d * plight->w;
 

 

  480 return pout;
 

 

  481 }
 

 

  482 
 

 

  483 D3DXMATRIX* WINAPI D3DXMatrixTranslation(D3DXMATRIX *pout, FLOAT x, FLOAT y, FLOAT z)
 

 

  484 {
 

 

  485 D3DXMatrixIdentity(pout);
 

 

  486 pout->u.m[3][0] = x;
 

 

  487 pout->u.m[3][1] = y;
 

 

  488 pout->u.m[3][2] = z;
 

 

  489 return pout;
 

 

  490 }
 

 

  491 
 

 

  492 D3DXMATRIX* WINAPI D3DXMatrixTranspose(D3DXMATRIX *pout, CONST D3DXMATRIX *pm)
 

 

  493 {
 

 

  494 int i,j;
 

 

  495 
 

 

  496 for (i=0; i<4; i++)
 

 

  497 {
 

 

  498 for (j=0; j<4; j++)
 

 

  499 {
 

 

  500 pout->u.m[i][j] = pm->u.m[j][i];
 

 

  501 }
 

 

  502 }
 

 

  503 return pout;
 

 

  504 }
 

 

  505 
 

 

  506 /*_________________D3DXPLANE________________*/
 

 

  507 
 

 

  508 D3DXPLANE* WINAPI D3DXPlaneFromPointNormal(D3DXPLANE *pout, CONST D3DXVECTOR3 *pvpoint, CONST D3DXVECTOR3 *pvnormal)
 

 

  509 {
 

 

  510 pout->a = pvnormal->x;
 

 

  511 pout->b = pvnormal->y;
 

 

  512 pout->c = pvnormal->z;
 

 

  513 pout->d = -D3DXVec3Dot(pvpoint, pvnormal);
 

 

  514 return pout;
 

 

  515 }
 

 

  516 
 

 

  517 D3DXPLANE* WINAPI D3DXPlaneFromPoints(D3DXPLANE *pout, CONST D3DXVECTOR3 *pv1, CONST D3DXVECTOR3 *pv2, CONST D3DXVECTOR3 *pv3)
 

 

  518 {
 

 

  519 D3DXVECTOR3 edge1, edge2, normal, Nnormal;
 

 

  520 
 

 

  521 edge1.x = 0.0f; edge1.y = 0.0f; edge1.z = 0.0f;
 

 

  522 edge2.x = 0.0f; edge2.y = 0.0f; edge2.z = 0.0f;
 

 

  523 D3DXVec3Subtract(&edge1, pv2, pv1);
 

 

  524 D3DXVec3Subtract(&edge2, pv3, pv1);
 

 

  525 D3DXVec3Cross(&normal, &edge1, &edge2);
 

 

  526 D3DXVec3Normalize(&Nnormal, &normal);
 

 

  527 D3DXPlaneFromPointNormal(pout, pv1, &Nnormal);
 

 

  528 return pout;
 

 

  529 }
 

 

  530 
 

 

  531 D3DXVECTOR3* WINAPI D3DXPlaneIntersectLine(D3DXVECTOR3 *pout, CONST D3DXPLANE *pp, CONST D3DXVECTOR3 *pv1, CONST D3DXVECTOR3 *pv2)
 

 

  532 {
 

 

  533 D3DXVECTOR3 direction, normal;
 

 

  534 FLOAT dot, temp;
 

 

  535 
 

 

  536 normal.x = pp->a;
 

 

  537 normal.y = pp->b;
 

 

  538 normal.z = pp->c;
 

 

  539 direction.x = pv2->x - pv1->x;
 

 

  540 direction.y = pv2->y - pv1->y;
 

 

  541 direction.z = pv2->z - pv1->z;
 

 

  542 dot = D3DXVec3Dot(&normal, &direction);
 

 

  543 if ( !dot ) return NULL;
 

 

  544 temp = ( pp->d + D3DXVec3Dot(&normal, pv1) ) / dot;
 

 

  545 pout->x = pv1->x - temp * direction.x;
 

 

  546 pout->y = pv1->y - temp * direction.y;
 

 

  547 pout->z = pv1->z - temp * direction.z;
 

 

  548 return pout;
 

 

  549 }
 

 

  550 
 

 

  551 D3DXPLANE* WINAPI D3DXPlaneNormalize(D3DXPLANE *pout, CONST D3DXPLANE *pp)
 

 

  552 {
 

 

  553 FLOAT norm;
 

 

  554 
 

 

  555 norm = sqrt(pp->a * pp->a + pp->b * pp->b + pp->c * pp->c);
 

 

  556 if ( norm )
 

 

  557 {
 

 

  558 pout->a = pp->a / norm;
 

 

  559 pout->b = pp->b / norm;
 

 

  560 pout->c = pp->c / norm;
 

 

  561 pout->d = pp->d / norm;
 

 

  562 }
 

 

  563 else
 

 

  564 {
 

 

  565 pout->a = 0.0f;
 

 

  566 pout->b = 0.0f;
 

 

  567 pout->c = 0.0f;
 

 

  568 pout->d = 0.0f;
 

 

  569 }
 

 

  570 return pout;
 

 

  571 }
 

 

  572 
 

 

  573 D3DXPLANE* WINAPI D3DXPlaneTransform(D3DXPLANE *pout, CONST D3DXPLANE *pplane, CONST D3DXMATRIX *pm)
 

 

  574 {
 

 

  575 pout->a = pm->u.m[0][0] * pplane->a + pm->u.m[1][0] * pplane->b + pm->u.m[2][0] * pplane->c + pm->u.m[3][0] * pplane->d;
 

 

  576 pout->b = pm->u.m[0][1] * pplane->a + pm->u.m[1][1] * pplane->b + pm->u.m[2][1] * pplane->c + pm->u.m[3][1] * pplane->d;
 

 

  577 pout->c = pm->u.m[0][2] * pplane->a + pm->u.m[1][2] * pplane->b + pm->u.m[2][2] * pplane->c + pm->u.m[3][2] * pplane->d;
 

 

  578 pout->d = pm->u.m[0][3] * pplane->a + pm->u.m[1][3] * pplane->b + pm->u.m[2][3] * pplane->c + pm->u.m[3][3] * pplane->d;
 

 

  579 return pout;
 

 

  580 }
 

 

  581 
 

 

  582 /*_________________D3DXQUATERNION________________*/
 

 

  583 
 

 

  584 D3DXQUATERNION* WINAPI D3DXQuaternionBaryCentric(D3DXQUATERNION *pout, CONST D3DXQUATERNION *pq1, CONST D3DXQUATERNION *pq2, CONST D3DXQUATERNION *pq3, FLOAT f, FLOAT g)
 

 

  585 {
 

 

  586 D3DXQUATERNION temp1, temp2;
 

 

  587 D3DXQuaternionSlerp(pout, D3DXQuaternionSlerp(&temp1, pq1, pq2, f + g), D3DXQuaternionSlerp(&temp2, pq1, pq3, f+g), g / (f + g));
 

 

  588 return pout;
 

 

  589 }
 

 

  590 
 

 

  591 D3DXQUATERNION* WINAPI D3DXQuaternionInverse(D3DXQUATERNION *pout, CONST D3DXQUATERNION *pq)
 

 

  592 {
 

 

  593 D3DXQUATERNION temp;
 

 

  594 FLOAT norm;
 

 

  595 
 

 

  596 norm = D3DXQuaternionLengthSq(pq);
 

 

  597 if ( !norm )
 

 

  598 {
 

 

  599 pout->x = 0.0f;
 

 

  600 pout->y = 0.0f;
 

 

  601 pout->z = 0.0f;
 

 

  602 pout->w = 0.0f;
 

 

  603 }
 

 

  604 else
 

 

  605 {
 

 

  606 D3DXQuaternionConjugate(&temp, pq);
 

 

  607 pout->x = temp.x / norm;
 

 

  608 pout->y = temp.y / norm;
 

 

  609 pout->z = temp.z / norm;
 

 

  610 pout->w = temp.w / norm;
 

 

  611 }
 

 

  612 return pout;
 

 

  613 }
 

 

  614 
 

 

  615 D3DXQUATERNION* WINAPI D3DXQuaternionMultiply(D3DXQUATERNION *pout, CONST D3DXQUATERNION *pq1, CONST D3DXQUATERNION *pq2)
 

 

  616 {
 

 

  617 pout->x = pq2->w * pq1->x + pq2->x * pq1->w + pq2->y * pq1->z - pq2->z * pq1->y;
 

 

  618 pout->y = pq2->w * pq1->y - pq2->x * pq1->z + pq2->y * pq1->w + pq2->z * pq1->x;
 

 

  619 pout->z = pq2->w * pq1->z + pq2->x * pq1->y - pq2->y * pq1->x + pq2->z * pq1->w;
 

 

  620 pout->w = pq2->w * pq1->w - pq2->x * pq1->x - pq2->y * pq1->y - pq2->z * pq1->z;
 

 

  621 return pout;
 

 

  622 }
 

 

  623 
 

 

  624 D3DXQUATERNION* WINAPI D3DXQuaternionNormalize(D3DXQUATERNION *pout, CONST D3DXQUATERNION *pq)
 

 

  625 {
 

 

  626 FLOAT norm;
 

 

  627 
 

 

  628 norm = D3DXQuaternionLength(pq);
 

 

  629 if ( !norm )
 

 

  630 {
 

 

  631 pout->x = 0.0f;
 

 

  632 pout->y = 0.0f;
 

 

  633 pout->z = 0.0f;
 

 

  634 pout->w = 0.0f;
 

 

  635 }
 

 

  636 else
 

 

  637 {
 

 

  638 pout->x = pq->x / norm;
 

 

  639 pout->y = pq->y / norm;
 

 

  640 pout->z = pq->z / norm;
 

 

  641 pout->w = pq->w / norm;
 

 

  642 }
 

 

  643 return pout;
 

 

  644 }
 

 

  645 
 

 

  646 D3DXQUATERNION* WINAPI D3DXQuaternionRotationAxis(D3DXQUATERNION *pout, CONST D3DXVECTOR3 *pv, FLOAT angle)
 

 

  647 {
 

 

  648 D3DXVECTOR3 temp;
 

 

  649 
 

 

  650 D3DXVec3Normalize(&temp, pv);
 

 

  651 pout->x = sin( angle / 2.0f ) * temp.x;
 

 

  652 pout->y = sin( angle / 2.0f ) * temp.y;
 

 

  653 pout->z = sin( angle / 2.0f ) * temp.z;
 

 

  654 pout->w = cos( angle / 2.0f );
 

 

  655 return pout;
 

 

  656 }
 

 

  657 
 

 

  658 D3DXQUATERNION* WINAPI D3DXQuaternionRotationMatrix(D3DXQUATERNION *pout, CONST D3DXMATRIX *pm)
 

 

  659 {
 

 

  660 int i, maxi;
 

 

  661 FLOAT maxdiag, S, trace;
 

 

  662 
 

 

  663 trace = pm->u.m[0][0] + pm->u.m[1][1] + pm->u.m[2][2] + 1.0f;
 

 

  664 if ( trace > 0.0f)
 

 

  665 {
 

 

  666 pout->x = ( pm->u.m[1][2] - pm->u.m[2][1] ) / ( 2.0f * sqrt(trace) );
 

 

  667 pout->y = ( pm->u.m[2][0] - pm->u.m[0][2] ) / ( 2.0f * sqrt(trace) );
 

 

  668 pout->z = ( pm->u.m[0][1] - pm->u.m[1][0] ) / ( 2.0f * sqrt(trace) );
 

 

  669 pout->w = sqrt(trace) / 2.0f;
 

 

  670 return pout;
 

 

  671 }
 

 

  672 maxi = 0;
 

 

  673 maxdiag = pm->u.m[0][0];
 

 

  674 for (i=1; i<3; i++)
 

 

  675 {
 

 

  676 if ( pm->u.m[i][i] > maxdiag )
 

 

  677 {
 

 

  678 maxi = i;
 

 

  679 maxdiag = pm->u.m[i][i];
 

 

  680 }
 

 

  681 }
 

 

  682 switch( maxi )
 

 

  683 {
 

 

  684 case 0:
 

 

  685 S = 2.0f * sqrt(1.0f + pm->u.m[0][0] - pm->u.m[1][1] - pm->u.m[2][2]);
 

 

  686 pout->x = 0.25f * S;
 

 

  687 pout->y = ( pm->u.m[0][1] + pm->u.m[1][0] ) / S;
 

 

  688 pout->z = ( pm->u.m[0][2] + pm->u.m[2][0] ) / S;
 

 

  689 pout->w = ( pm->u.m[1][2] - pm->u.m[2][1] ) / S;
 

 

  690 break;
 

 

  691 case 1:
 

 

  692 S = 2.0f * sqrt(1.0f + pm->u.m[1][1] - pm->u.m[0][0] - pm->u.m[2][2]);
 

 

  693 pout->x = ( pm->u.m[0][1] + pm->u.m[1][0] ) / S;
 

 

  694 pout->y = 0.25f * S;
 

 

  695 pout->z = ( pm->u.m[1][2] + pm->u.m[2][1] ) / S;
 

 

  696 pout->w = ( pm->u.m[2][0] - pm->u.m[0][2] ) / S;
 

 

  697 break;
 

 

  698 case 2:
 

 

  699 S = 2.0f * sqrt(1.0f + pm->u.m[2][2] - pm->u.m[0][0] - pm->u.m[1][1]);
 

 

  700 pout->x = ( pm->u.m[0][2] + pm->u.m[2][0] ) / S;
 

 

  701 pout->y = ( pm->u.m[1][2] + pm->u.m[2][1] ) / S;
 

 

  702 pout->z = 0.25f * S;
 

 

  703 pout->w = ( pm->u.m[0][1] - pm->u.m[1][0] ) / S;
 

 

  704 break;
 

 

  705 }
 

 

  706 return pout;
 

 

  707 }
 

 

  708 
 

 

  709 D3DXQUATERNION* WINAPI D3DXQuaternionRotationYawPitchRoll(D3DXQUATERNION *pout, FLOAT yaw, FLOAT pitch, FLOAT roll)
 

 

  710 {
 

 

  711 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);
 

 

  712 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);
 

 

  713 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);
 

 

  714 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);
 

 

  715 return pout;
 

 

  716 }
 

 

  717 
 

 

  718 D3DXQUATERNION* WINAPI D3DXQuaternionSlerp(D3DXQUATERNION *pout, CONST D3DXQUATERNION *pq1, CONST D3DXQUATERNION *pq2, FLOAT t)
 

 

  719 {
 

 

  720 FLOAT dot, epsilon;
 

 

  721 
 

 

  722 epsilon = 1.0f;
 

 

  723 dot = D3DXQuaternionDot(pq1, pq2);
 

 

  724 if ( dot < 0.0f) epsilon = -1.0f;
 

 

  725 pout->x = (1.0f - t) * pq1->x + epsilon * t * pq2->x;
 

 

  726 pout->y = (1.0f - t) * pq1->y + epsilon * t * pq2->y;
 

 

  727 pout->z = (1.0f - t) * pq1->z + epsilon * t * pq2->z;
 

 

  728 pout->w = (1.0f - t) * pq1->w + epsilon * t * pq2->w;
 

 

  729 return pout;
 

 

  730 }
 

 

  731 
 

 

  732 D3DXQUATERNION* WINAPI D3DXQuaternionSquad(D3DXQUATERNION *pout, CONST D3DXQUATERNION *pq1, CONST D3DXQUATERNION *pq2, CONST D3DXQUATERNION *pq3, CONST D3DXQUATERNION *pq4, FLOAT t)
 

 

  733 {
 

 

  734 D3DXQUATERNION temp1, temp2;
 

 

  735 
 

 

  736 D3DXQuaternionSlerp(pout, D3DXQuaternionSlerp(&temp1, pq1, pq4, t), D3DXQuaternionSlerp(&temp2, pq2, pq3, t), 2.0f * t * (1.0f - t));
 

 

  737 return pout;
 

 

  738 }
 

 

  739 
 

 

  740 void WINAPI D3DXQuaternionToAxisAngle(CONST D3DXQUATERNION *pq, D3DXVECTOR3 *paxis, FLOAT *pangle)
 

 

  741 {
 

 

  742 FLOAT norm;
 

 

  743 
 

 

  744 *pangle = 0.0f;
 

 

  745 norm = D3DXQuaternionLength(pq);
 

 

  746 if ( norm )
 

 

  747 {
 

 

  748 paxis->x = pq->x / norm;
 

 

  749 paxis->y = pq->y / norm;
 

 

  750 paxis->z = pq->z / norm;
 

 

  751 if ( fabs( pq->w ) <= 1.0f ) *pangle = 2.0f * acos(pq->w);
 

 

  752 }
 

 

  753 else
 

 

  754 {
 

 

  755 paxis->x = 1.0f;
 

 

  756 paxis->y = 0.0f;
 

 

  757 paxis->z = 0.0f;
 

 

  758 }
 

 

  759 }
 

 

  760 
 

 

  761 /*_________________D3DXVec2_____________________*/
 

 

  762 
 

 

  763 D3DXVECTOR2* WINAPI D3DXVec2BaryCentric(D3DXVECTOR2 *pout, CONST D3DXVECTOR2 *pv1, CONST D3DXVECTOR2 *pv2, CONST D3DXVECTOR2 *pv3, FLOAT f, FLOAT g)
 

 

  764 {
 

 

  765 pout->x = (1.0f-f-g) * (pv1->x) + f * (pv2->x) + g * (pv3->x);
 

 

  766 pout->y = (1.0f-f-g) * (pv1->y) + f * (pv2->y) + g * (pv3->y);
 

 

  767 return pout;
 

 

  768 }
 

 

  769 
 

 

  770 D3DXVECTOR2* WINAPI D3DXVec2CatmullRom(D3DXVECTOR2 *pout, CONST D3DXVECTOR2 *pv0, CONST D3DXVECTOR2 *pv1, CONST D3DXVECTOR2 *pv2, CONST D3DXVECTOR2 *pv3, FLOAT s)
 

 

  771 {
 

 

  772 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);
 

 

  773 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);
 

 

  774 return pout;
 

 

  775 }
 

 

  776 
 

 

  777 D3DXVECTOR2* WINAPI D3DXVec2Hermite(D3DXVECTOR2 *pout, CONST D3DXVECTOR2 *pv1, CONST D3DXVECTOR2 *pt1, CONST D3DXVECTOR2 *pv2, CONST D3DXVECTOR2 *pt2, FLOAT s)
 

 

  778 {
 

 

  779 FLOAT h1, h2, h3, h4;
 

 

  780 
 

 

  781 h1 = 2.0f * s * s * s - 3.0f * s * s + 1.0f;
 

 

  782 h2 = s * s * s - 2.0f * s * s + s;
 

 

  783 h3 = -2.0f * s * s * s + 3.0f * s * s;
 

 

  784 h4 = s * s * s - s * s;
 

 

  785 
 

 

  786 pout->x = h1 * (pv1->x) + h2 * (pt1->x) + h3 * (pv2->x) + h4 * (pt2->x);
 

 

  787 pout->y = h1 * (pv1->y) + h2 * (pt1->y) + h3 * (pv2->y) + h4 * (pt2->y);
 

 

  788 return pout;
 

 

  789 }
 

 

  790 
 

 

  791 D3DXVECTOR2* WINAPI D3DXVec2Normalize(D3DXVECTOR2 *pout, CONST D3DXVECTOR2 *pv)
 

 

  792 {
 

 

  793 FLOAT norm;
 

 

  794 
 

 

  795 norm = D3DXVec2Length(pv);
 

 

  796 if ( !norm )
 

 

  797 {
 

 

  798 pout->x = 0.0f;
 

 

  799 pout->y = 0.0f;
 

 

  800 }
 

 

  801 else
 

 

  802 {
 

 

  803 pout->x = pv->x / norm;
 

 

  804 pout->y = pv->y / norm;
 

 

  805 }
 

 

  806 return pout;
 

 

  807 }
 

 

  808 
 

 

  809 D3DXVECTOR4* WINAPI D3DXVec2Transform(D3DXVECTOR4 *pout, CONST D3DXVECTOR2 *pv, CONST D3DXMATRIX *pm)
 

 

  810 {
 

 

  811 pout->x = pm->u.m[0][0] * pv->x + pm->u.m[1][0] * pv->y + pm->u.m[3][0];
 

 

  812 pout->y = pm->u.m[0][1] * pv->x + pm->u.m[1][1] * pv->y + pm->u.m[3][1];
 

 

  813 pout->z = pm->u.m[0][2] * pv->x + pm->u.m[1][2] * pv->y + pm->u.m[3][2];
 

 

  814 pout->w = pm->u.m[0][3] * pv->x + pm->u.m[1][3] * pv->y + pm->u.m[3][3];
 

 

  815 return pout;
 

 

  816 }
 

 

  817 
 

 

  818 D3DXVECTOR2* WINAPI D3DXVec2TransformCoord(D3DXVECTOR2 *pout, CONST D3DXVECTOR2 *pv, CONST D3DXMATRIX *pm)
 

 

  819 {
 

 

  820 FLOAT norm;
 

 

  821 
 

 

  822 norm = pm->u.m[0][3] * pv->x + pm->u.m[1][3] * pv->y + pm->u.m[3][3];
 

 

  823 if ( norm )
 

 

  824 {
 

 

  825 pout->x = (pm->u.m[0][0] * pv->x + pm->u.m[1][0] * pv->y + pm->u.m[3][0]) / norm;
 

 

  826 pout->y = (pm->u.m[0][1] * pv->x + pm->u.m[1][1] * pv->y + pm->u.m[3][1]) / norm;
 

 

  827 }
 

 

  828 else
 

 

  829 {
 

 

  830 pout->x = 0.0f;
 

 

  831 pout->y = 0.0f;
 

 

  832 }
 

 

  833 return pout;
 

 

  834 }
 

 

  835 
 

 

  836 D3DXVECTOR2* WINAPI D3DXVec2TransformNormal(D3DXVECTOR2 *pout, CONST D3DXVECTOR2 *pv, CONST D3DXMATRIX *pm)
 

 

  837 {
 

 

  838 pout->x = pm->u.m[0][0] * pv->x + pm->u.m[1][0] * pv->y;
 

 

  839 pout->y = pm->u.m[0][1] * pv->x + pm->u.m[1][1] * pv->y;
 

 

  840 return pout;
 

 

  841 }
 

 

  842 
 

 

  843 /*_________________D3DXVec3_____________________*/
 

 

  844 
 

 

  845 D3DXVECTOR3* WINAPI D3DXVec3BaryCentric(D3DXVECTOR3 *pout, CONST D3DXVECTOR3 *pv1, CONST D3DXVECTOR3 *pv2, CONST D3DXVECTOR3 *pv3, FLOAT f, FLOAT g)
 

 

  846 {
 

 

  847 pout->x = (1.0f-f-g) * (pv1->x) + f * (pv2->x) + g * (pv3->x);
 

 

  848 pout->y = (1.0f-f-g) * (pv1->y) + f * (pv2->y) + g * (pv3->y);
 

 

  849 pout->z = (1.0f-f-g) * (pv1->z) + f * (pv2->z) + g * (pv3->z);
 

 

  850 return pout;
 

 

  851 }
 

 

  852 
 

 

  853 D3DXVECTOR3* WINAPI D3DXVec3CatmullRom( D3DXVECTOR3 *pout, CONST D3DXVECTOR3 *pv0, CONST D3DXVECTOR3 *pv1, CONST D3DXVECTOR3 *pv2, CONST D3DXVECTOR3 *pv3, FLOAT s)
 

 

  854 {
 

 

  855 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);
 

 

  856 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);
 

 

  857 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);
 

 

  858 return pout;
 

 

  859 }
 

 

  860 
 

 

  861 D3DXVECTOR3* WINAPI D3DXVec3Hermite(D3DXVECTOR3 *pout, CONST D3DXVECTOR3 *pv1, CONST D3DXVECTOR3 *pt1, CONST D3DXVECTOR3 *pv2, CONST D3DXVECTOR3 *pt2, FLOAT s)
 

 

  862 {
 

 

  863 FLOAT h1, h2, h3, h4;
 

 

  864 
 

 

  865 h1 = 2.0f * s * s * s - 3.0f * s * s + 1.0f;
 

 

  866 h2 = s * s * s - 2.0f * s * s + s;
 

 

  867 h3 = -2.0f * s * s * s + 3.0f * s * s;
 

 

  868 h4 = s * s * s - s * s;
 

 

  869 
 

 

  870 pout->x = h1 * (pv1->x) + h2 * (pt1->x) + h3 * (pv2->x) + h4 * (pt2->x);
 

 

  871 pout->y = h1 * (pv1->y) + h2 * (pt1->y) + h3 * (pv2->y) + h4 * (pt2->y);
 

 

  872 pout->z = h1 * (pv1->z) + h2 * (pt1->z) + h3 * (pv2->z) + h4 * (pt2->z);
 

 

  873 return pout;
 

 

  874 }
 

 

  875 
 

 

  876 D3DXVECTOR3* WINAPI D3DXVec3Normalize(D3DXVECTOR3 *pout, CONST D3DXVECTOR3 *pv)
 

 

  877 {
 

 

  878 FLOAT norm;
 

 

  879 
 

 

  880 norm = D3DXVec3Length(pv);
 

 

  881 if ( !norm )
 

 

  882 {
 

 

  883 pout->x = 0.0f;
 

 

  884 pout->y = 0.0f;
 

 

  885 pout->z = 0.0f;
 

 

  886 }
 

 

  887 else
 

 

  888 {
 

 

  889 pout->x = pv->x / norm;
 

 

  890 pout->y = pv->y / norm;
 

 

  891 pout->z = pv->z / norm;
 

 

  892 }
 

 

  893 return pout;
 

 

  894 }
 

 

  895 
 

 

  896 D3DXVECTOR3* WINAPI D3DXVec3Project(D3DXVECTOR3 *pout, CONST D3DXVECTOR3 *pv, CONST D3DVIEWPORT8 *pviewport, CONST D3DXMATRIX *pprojection, CONST D3DXMATRIX *pview, CONST D3DXMATRIX *pworld)
 

 

  897 {
 

 

  898 D3DXMATRIX m1, m2;
 

 

  899 D3DXVECTOR3 vec;
 

 

  900 
 

 

  901 D3DXMatrixMultiply(&m1, pworld, pview);
 

 

  902 D3DXMatrixMultiply(&m2, &m1, pprojection);
 

 

  903 D3DXVec3TransformCoord(&vec, pv, &m2);
 

 

  904 pout->x = pviewport->X + ( 1.0f + vec.x ) * pviewport->Width / 2.0f;
 

 

  905 pout->y = pviewport->Y + ( 1.0f - vec.y ) * pviewport->Height / 2.0f;
 

 

  906 pout->z = pviewport->MinZ + vec.z * ( pviewport->MaxZ - pviewport->MinZ );
 

 

  907 return pout;
 

 

  908 }
 

 

  909 
 

 

  910 D3DXVECTOR4* WINAPI D3DXVec3Transform(D3DXVECTOR4 *pout, CONST D3DXVECTOR3 *pv, CONST D3DXMATRIX *pm)
 

 

  911 {
 

 

  912 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];
 

 

  913 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];
 

 

  914 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];
 

 

  915 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];
 

 

  916 return pout;
 

 

  917 }
 

 

  918 
 

 

  919 D3DXVECTOR3* WINAPI D3DXVec3TransformCoord(D3DXVECTOR3 *pout, CONST D3DXVECTOR3 *pv, CONST D3DXMATRIX *pm)
 

 

  920 {
 

 

  921 FLOAT norm;
 

 

  922 
 

 

  923 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];
 

 

  924 
 

 

  925 if ( norm )
 

 

  926 {
 

 

  927 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]) / norm;
 

 

  928 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]) / norm;
 

 

  929 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]) / norm;
 

 

  930 }
 

 

  931 else
 

 

  932 {
 

 

  933 pout->x = 0.0f;
 

 

  934 pout->y = 0.0f;
 

 

  935 pout->z = 0.0f;
 

 

  936 }
 

 

  937 return pout;
 

 

  938 }
 

 

  939 
 

 

  940 D3DXVECTOR3* WINAPI D3DXVec3TransformNormal(D3DXVECTOR3 *pout, CONST D3DXVECTOR3 *pv, CONST D3DXMATRIX *pm)
 

 

  941 {
 

 

  942 pout->x = pm->u.m[0][0] * pv->x + pm->u.m[1][0] * pv->y + pm->u.m[2][0] * pv->z;
 

 

  943 pout->y = pm->u.m[0][1] * pv->x + pm->u.m[1][1] * pv->y + pm->u.m[2][1] * pv->z;
 

 

  944 pout->z = pm->u.m[0][2] * pv->x + pm->u.m[1][2] * pv->y + pm->u.m[2][2] * pv->z;
 

 

  945 return pout;
 

 

  946 
 

 

  947 }
 

 

  948 
 

 

  949 D3DXVECTOR3* WINAPI D3DXVec3Unproject(D3DXVECTOR3 *pout, CONST D3DXVECTOR3 *pv, CONST D3DVIEWPORT8 *pviewport, CONST D3DXMATRIX *pprojection, CONST D3DXMATRIX *pview, CONST D3DXMATRIX *pworld)
 

 

  950 {
 

 

  951 D3DXMATRIX m1, m2, m3;
 

 

  952 D3DXVECTOR3 vec;
 

 

  953 
 

 

  954 D3DXMatrixMultiply(&m1, pworld, pview);
 

 

  955 D3DXMatrixMultiply(&m2, &m1, pprojection);
 

 

  956 D3DXMatrixInverse(&m3, NULL, &m2);
 

 

  957 vec.x = 2.0f * ( pv->x - pviewport->X ) / pviewport->Width - 1.0f;
 

 

  958 vec.y = 1.0f - 2.0f * ( pv->y - pviewport->Y ) / pviewport->Height;
 

 

  959 vec.z = ( pv->z - pviewport->MinZ) / ( pviewport->MaxZ - pviewport->MinZ );
 

 

  960 D3DXVec3TransformCoord(pout, &vec, &m3);
 

 

  961 return pout;
 

 

  962 }
 

 

  963 
 

 

  964 /*_________________D3DXVec4_____________________*/
 

 

  965 
 

 

  966 D3DXVECTOR4* WINAPI D3DXVec4BaryCentric(D3DXVECTOR4 *pout, CONST D3DXVECTOR4 *pv1, CONST D3DXVECTOR4 *pv2, CONST D3DXVECTOR4 *pv3, FLOAT f, FLOAT g)
 

 

  967 {
 

 

  968 pout->x = (1.0f-f-g) * (pv1->x) + f * (pv2->x) + g * (pv3->x);
 

 

  969 pout->y = (1.0f-f-g) * (pv1->y) + f * (pv2->y) + g * (pv3->y);
 

 

  970 pout->z = (1.0f-f-g) * (pv1->z) + f * (pv2->z) + g * (pv3->z);
 

 

  971 pout->w = (1.0f-f-g) * (pv1->w) + f * (pv2->w) + g * (pv3->w);
 

 

  972 return pout;
 

 

  973 }
 

 

  974 
 

 

  975 D3DXVECTOR4* WINAPI D3DXVec4CatmullRom(D3DXVECTOR4 *pout, CONST D3DXVECTOR4 *pv0, CONST D3DXVECTOR4 *pv1, CONST D3DXVECTOR4 *pv2, CONST D3DXVECTOR4 *pv3, FLOAT s)
 

 

  976 {
 

 

  977 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);
 

 

  978 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);
 

 

  979 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);
 

 

  980 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);
 

 

  981 return pout;
 

 

  982 }
 

 

  983 
 

 

  984 D3DXVECTOR4* WINAPI D3DXVec4Cross(D3DXVECTOR4 *pout, CONST D3DXVECTOR4 *pv1, CONST D3DXVECTOR4 *pv2, CONST D3DXVECTOR4 *pv3)
 

 

  985 {
 

 

  986 pout->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);
 

 

  987 pout->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));
 

 

  988 pout->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);
 

 

  989 pout->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));
 

 

  990 return pout;
 

 

  991 }
 

 

  992 
 

 

  993 D3DXVECTOR4* WINAPI D3DXVec4Hermite(D3DXVECTOR4 *pout, CONST D3DXVECTOR4 *pv1, CONST D3DXVECTOR4 *pt1, CONST D3DXVECTOR4 *pv2, CONST D3DXVECTOR4 *pt2, FLOAT s)
 

 

  994 {
 

 

  995 FLOAT h1, h2, h3, h4;
 

 

  996 
 

 

  997 h1 = 2.0f * s * s * s - 3.0f * s * s + 1.0f;
 

 

  998 h2 = s * s * s - 2.0f * s * s + s;
 

 

  999 h3 = -2.0f * s * s * s + 3.0f * s * s;
 

 

  1000 h4 = s * s * s - s * s;
 

 

  1001 
 

 

  1002 pout->x = h1 * (pv1->x) + h2 * (pt1->x) + h3 * (pv2->x) + h4 * (pt2->x);
 

 

  1003 pout->y = h1 * (pv1->y) + h2 * (pt1->y) + h3 * (pv2->y) + h4 * (pt2->y);
 

 

  1004 pout->z = h1 * (pv1->z) + h2 * (pt1->z) + h3 * (pv2->z) + h4 * (pt2->z);
 

 

  1005 pout->w = h1 * (pv1->w) + h2 * (pt1->w) + h3 * (pv2->w) + h4 * (pt2->w);
 

 

  1006 return pout;
 

 

  1007 }
 

 

  1008 
 

 

  1009 D3DXVECTOR4* WINAPI D3DXVec4Normalize(D3DXVECTOR4 *pout, CONST D3DXVECTOR4 *pv)
 

 

  1010 {
 

 

  1011 FLOAT norm;
 

 

  1012 
 

 

  1013 norm = D3DXVec4Length(pv);
 

 

  1014 if ( !norm )
 

 

  1015 {
 

 

  1016 pout->x = 0.0f;
 

 

  1017 pout->y = 0.0f;
 

 

  1018 pout->z = 0.0f;
 

 

  1019 pout->w = 0.0f;
 

 

  1020 }
 

 

  1021 else
 

 

  1022 {
 

 

  1023 pout->x = pv->x / norm;
 

 

  1024 pout->y = pv->y / norm;
 

 

  1025 pout->z = pv->z / norm;
 

 

  1026 pout->w = pv->w / norm;
 

 

  1027 }
 

 

  1028 return pout;
 

 

  1029 }
 

 

  1030 
 

 

  1031 D3DXVECTOR4* WINAPI D3DXVec4Transform(D3DXVECTOR4 *pout, CONST D3DXVECTOR4 *pv, CONST D3DXMATRIX *pm)
 

 

  1032 {
 

 

  1033 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] * pv->w;
 

 

  1034 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] * pv->w;
 

 

  1035 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] * pv->w;
 

 

  1036 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] * pv->w;
 

 

  1037 return pout;
 

 

  1038 }
 





 

  Wine development tree

标签: 计算机图形学 算法

« 备忘一下HTML5 三轴陀螺仪 | 图像扭曲算法»

发表评论：

Powered by emlog

浙ICP备17021512号 |浙公网安备 33010602008237号