叶子的小屋
收集几个d3d算法
2016-6-14 admin
http://source.winehq.org/git/wine.git/blob/16a8efa410859fcaadc80b931fb1949a086ece4d:/dlls/d3dx8/math.c

 






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 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 }

 








 


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