include/d3dx8math.h

   1 /*
   2  * Copyright (C) 2007 David Adam
   3  * Copyright (C) 2007 Tony Wasserka
   4  *
   5  * This library is free software; you can redistribute it and/or
   6  * modify it under the terms of the GNU Lesser General Public
   7  * License as published by the Free Software Foundation; either
   8  * version 2.1 of the License, or (at your option) any later version.
   9  *
  10  * This library is distributed in the hope that it will be useful,
  11  * but WITHOUT ANY WARRANTY; without even the implied warranty of
  12  * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
  13  * Lesser General Public License for more details.
  14  *
  15  * You should have received a copy of the GNU Lesser General Public
  16  * License along with this library; if not, write to the Free Software
  17  * Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301, USA
  18  */
  19
  20 #include <d3dx8.h>
  21
  22 #ifndef __D3DX8MATH_H__
  23 #define __D3DX8MATH_H__
  24
  25 #include <math.h>
  26
  27 #define D3DX_PI    ((FLOAT)3.141592654)
  28 #define D3DX_1BYPI ((FLOAT)0.318309886)
  29
  30 #define D3DXToRadian(degree) ((degree) * (D3DX_PI / 180.0f))
  31 #define D3DXToDegree(radian) ((radian) * (180.0f / D3DX_PI))
  32
  33 typedef struct D3DXVECTOR2
  34 {
  35 #ifdef __cplusplus
  36     D3DXVECTOR2();
  37     D3DXVECTOR2(CONST FLOAT *pf);
  38     D3DXVECTOR2(FLOAT fx, FLOAT fy);
  39
  40     operator FLOAT* ();
  41     operator CONST FLOAT* () const;
  42
  43     D3DXVECTOR2& operator += (CONST D3DXVECTOR2&);
  44     D3DXVECTOR2& operator -= (CONST D3DXVECTOR2&);
  45     D3DXVECTOR2& operator *= (FLOAT);
  46     D3DXVECTOR2& operator /= (FLOAT);
  47
  48     D3DXVECTOR2 operator + () const;
  49     D3DXVECTOR2 operator - () const;
  50
  51     D3DXVECTOR2 operator + (CONST D3DXVECTOR2&) const;
  52     D3DXVECTOR2 operator - (CONST D3DXVECTOR2&) const;
  53     D3DXVECTOR2 operator * (FLOAT) const;
  54     D3DXVECTOR2 operator / (FLOAT) const;
  55
  56     friend D3DXVECTOR2 operator * (FLOAT, CONST D3DXVECTOR2&);
  57
  58     BOOL operator == (CONST D3DXVECTOR2&) const;
  59     BOOL operator != (CONST D3DXVECTOR2&) const;
  60 #endif /* __cplusplus */
  61     FLOAT x, y;
  62 } D3DXVECTOR2, *LPD3DXVECTOR2;
  63
  64 #ifdef __cplusplus
  65 typedef struct D3DXVECTOR3 : public D3DVECTOR
  66 {
  67     D3DXVECTOR3();
  68     D3DXVECTOR3(CONST FLOAT *pf);
  69     D3DXVECTOR3(CONST D3DVECTOR& v);
  70     D3DXVECTOR3(FLOAT fx, FLOAT fy, FLOAT fz);
  71
  72     operator FLOAT* ();
  73     operator CONST FLOAT* () const;
  74
  75     D3DXVECTOR3& operator += (CONST D3DXVECTOR3&);
  76     D3DXVECTOR3& operator -= (CONST D3DXVECTOR3&);
  77     D3DXVECTOR3& operator *= (FLOAT);
  78     D3DXVECTOR3& operator /= (FLOAT);
  79
  80     D3DXVECTOR3 operator + () const;
  81     D3DXVECTOR3 operator - () const;
  82
  83     D3DXVECTOR3 operator + (CONST D3DXVECTOR3&) const;
  84     D3DXVECTOR3 operator - (CONST D3DXVECTOR3&) const;
  85     D3DXVECTOR3 operator * (FLOAT) const;
  86     D3DXVECTOR3 operator / (FLOAT) const;
  87
  88     friend D3DXVECTOR3 operator * (FLOAT, CONST struct D3DXVECTOR3&);
  89
  90     BOOL operator == (CONST D3DXVECTOR3&) const;
  91     BOOL operator != (CONST D3DXVECTOR3&) const;
  92 } D3DXVECTOR3, *LPD3DXVECTOR3;
  93 #else /* !__cplusplus */
  94 typedef struct _D3DVECTOR D3DXVECTOR3, *LPD3DXVECTOR3;
  95 #endif /* !__cplusplus */
  96
  97 typedef struct D3DXVECTOR4
  98 {
  99 #ifdef __cplusplus
 100     D3DXVECTOR4();
 101     D3DXVECTOR4(CONST FLOAT *pf);
 102     D3DXVECTOR4(FLOAT fx, FLOAT fy, FLOAT fz, FLOAT fw);
 103
 104     operator FLOAT* ();
 105     operator CONST FLOAT* () const;
 106
 107     D3DXVECTOR4& operator += (CONST D3DXVECTOR4&);
 108     D3DXVECTOR4& operator -= (CONST D3DXVECTOR4&);
 109     D3DXVECTOR4& operator *= (FLOAT);
 110     D3DXVECTOR4& operator /= (FLOAT);
 111
 112     D3DXVECTOR4 operator + () const;
 113     D3DXVECTOR4 operator - () const;
 114
 115     D3DXVECTOR4 operator + (CONST D3DXVECTOR4&) const;
 116     D3DXVECTOR4 operator - (CONST D3DXVECTOR4&) const;
 117     D3DXVECTOR4 operator * (FLOAT) const;
 118     D3DXVECTOR4 operator / (FLOAT) const;
 119
 120     friend D3DXVECTOR4 operator * (FLOAT, CONST D3DXVECTOR4&);
 121
 122     BOOL operator == (CONST D3DXVECTOR4&) const;
 123     BOOL operator != (CONST D3DXVECTOR4&) const;
 124 #endif /* __cplusplus */
 125     FLOAT x, y, z, w;
 126 } D3DXVECTOR4, *LPD3DXVECTOR4;
 127
 128 #ifdef __cplusplus
 129 typedef struct D3DXMATRIX : public D3DMATRIX
 130 {
 131     D3DXMATRIX();
 132     D3DXMATRIX(CONST FLOAT *pf);
 133     D3DXMATRIX(CONST D3DMATRIX& mat);
 134     D3DXMATRIX(FLOAT f11, FLOAT f12, FLOAT f13, FLOAT f14,
 135                FLOAT f21, FLOAT f22, FLOAT f23, FLOAT f24,
 136                FLOAT f31, FLOAT f32, FLOAT f33, FLOAT f34,
 137                FLOAT f41, FLOAT f42, FLOAT f43, FLOAT f44);
 138
 139     FLOAT& operator () (UINT row, UINT col);
 140     FLOAT operator () (UINT row, UINT col) const;
 141
 142     operator FLOAT* ();
 143     operator CONST FLOAT* () const;
 144
 145     D3DXMATRIX& operator *= (CONST D3DXMATRIX&);
 146     D3DXMATRIX& operator += (CONST D3DXMATRIX&);
 147     D3DXMATRIX& operator -= (CONST D3DXMATRIX&);
 148     D3DXMATRIX& operator *= (FLOAT);
 149     D3DXMATRIX& operator /= (FLOAT);
 150
 151     D3DXMATRIX operator + () const;
 152     D3DXMATRIX operator - () const;
 153
 154     D3DXMATRIX operator * (CONST D3DXMATRIX&) const;
 155     D3DXMATRIX operator + (CONST D3DXMATRIX&) const;
 156     D3DXMATRIX operator - (CONST D3DXMATRIX&) const;
 157     D3DXMATRIX operator * (FLOAT) const;
 158     D3DXMATRIX operator / (FLOAT) const;
 159
 160     friend D3DXMATRIX operator * (FLOAT, CONST D3DXMATRIX&);
 161
 162     BOOL operator == (CONST D3DXMATRIX&) const;
 163     BOOL operator != (CONST D3DXMATRIX&) const;
 164 } D3DXMATRIX, *LPD3DXMATRIX;
 165 #else /* !__cplusplus */
 166 typedef struct _D3DMATRIX D3DXMATRIX, *LPD3DXMATRIX;
 167 #endif /* !__cplusplus */
 168
 169 typedef struct D3DXQUATERNION
 170 {
 171 #ifdef __cplusplus
 172     D3DXQUATERNION();
 173     D3DXQUATERNION(CONST FLOAT *pf);
 174     D3DXQUATERNION(FLOAT fx, FLOAT fy, FLOAT fz, FLOAT fw);
 175
 176     operator FLOAT* ();
 177     operator CONST FLOAT* () const;
 178
 179     D3DXQUATERNION& operator += (CONST D3DXQUATERNION&);
 180     D3DXQUATERNION& operator -= (CONST D3DXQUATERNION&);
 181     D3DXQUATERNION& operator *= (CONST D3DXQUATERNION&);
 182     D3DXQUATERNION& operator *= (FLOAT);
 183     D3DXQUATERNION& operator /= (FLOAT);
 184
 185     D3DXQUATERNION  operator + () const;
 186     D3DXQUATERNION  operator - () const;
 187
 188     D3DXQUATERNION operator + (CONST D3DXQUATERNION&) const;
 189     D3DXQUATERNION operator - (CONST D3DXQUATERNION&) const;
 190     D3DXQUATERNION operator * (CONST D3DXQUATERNION&) const;
 191     D3DXQUATERNION operator * (FLOAT) const;
 192     D3DXQUATERNION operator / (FLOAT) const;
 193
 194     friend D3DXQUATERNION operator * (FLOAT, CONST D3DXQUATERNION&);
 195
 196     BOOL operator == (CONST D3DXQUATERNION&) const;
 197     BOOL operator != (CONST D3DXQUATERNION&) const;
 198 #endif /* __cplusplus */
 199     FLOAT x, y, z, w;
 200 } D3DXQUATERNION, *LPD3DXQUATERNION;
 201
 202 typedef struct D3DXPLANE
 203 {
 204 #ifdef __cplusplus
 205     D3DXPLANE();
 206     D3DXPLANE(CONST FLOAT *pf);
 207     D3DXPLANE(FLOAT fa, FLOAT fb, FLOAT fc, FLOAT fd);
 208
 209     operator FLOAT* ();
 210     operator CONST FLOAT* () const;
 211
 212     D3DXPLANE operator + () const;
 213     D3DXPLANE operator - () const;
 214
 215     BOOL operator == (CONST D3DXPLANE&) const;
 216     BOOL operator != (CONST D3DXPLANE&) const;
 217 #endif /* __cplusplus */
 218     FLOAT a, b, c, d;
 219 } D3DXPLANE, *LPD3DXPLANE;
 220
 221 typedef struct D3DXCOLOR
 222 {
 223 #ifdef __cplusplus
 224     D3DXCOLOR();
 225     D3DXCOLOR(DWORD col);
 226     D3DXCOLOR(CONST FLOAT *pf);
 227     D3DXCOLOR(CONST D3DCOLORVALUE& col);
 228     D3DXCOLOR(FLOAT fr, FLOAT fg, FLOAT fb, FLOAT fa);
 229
 230     operator DWORD () const;
 231
 232     operator FLOAT* ();
 233     operator CONST FLOAT* () const;
 234
 235     operator D3DCOLORVALUE* ();
 236     operator CONST D3DCOLORVALUE* () const;
 237
 238     operator D3DCOLORVALUE& ();
 239     operator CONST D3DCOLORVALUE& () const;
 240
 241     D3DXCOLOR& operator += (CONST D3DXCOLOR&);
 242     D3DXCOLOR& operator -= (CONST D3DXCOLOR&);
 243     D3DXCOLOR& operator *= (FLOAT);
 244     D3DXCOLOR& operator /= (FLOAT);
 245
 246     D3DXCOLOR operator + () const;
 247     D3DXCOLOR operator - () const;
 248
 249     D3DXCOLOR operator + (CONST D3DXCOLOR&) const;
 250     D3DXCOLOR operator - (CONST D3DXCOLOR&) const;
 251     D3DXCOLOR operator * (FLOAT) const;
 252     D3DXCOLOR operator / (FLOAT) const;
 253
 254     friend D3DXCOLOR operator * (FLOAT, CONST D3DXCOLOR&);
 255
 256     BOOL operator == (CONST D3DXCOLOR&) const;
 257     BOOL operator != (CONST D3DXCOLOR&) const;
 258 #endif /* __cplusplus */
 259     FLOAT r, g, b, a;
 260 } D3DXCOLOR, *LPD3DXCOLOR;
 261
 262 #ifdef __cplusplus
 263 extern "C" {
 264 #endif
 265
 266 D3DXMATRIX* WINAPI D3DXMatrixAffineTransformation(D3DXMATRIX *pout, float scaling, D3DXVECTOR3 *rotationcenter, D3DXQUATERNION *rotation, D3DXVECTOR3 *translation);
 267 FLOAT WINAPI D3DXMatrixfDeterminant(CONST D3DXMATRIX *pm);
 268 D3DXMATRIX* WINAPI D3DXMatrixInverse(D3DXMATRIX *pout, FLOAT *pdeterminant, CONST D3DXMATRIX *pm);
 269 D3DXMATRIX* WINAPI D3DXMatrixLookAtLH(D3DXMATRIX *pout, CONST D3DXVECTOR3 *peye, CONST D3DXVECTOR3 *pat, CONST D3DXVECTOR3 *pup);
 270 D3DXMATRIX* WINAPI D3DXMatrixLookAtRH(D3DXMATRIX *pout, CONST D3DXVECTOR3 *peye, CONST D3DXVECTOR3 *pat, CONST D3DXVECTOR3 *pup);
 271 D3DXMATRIX* WINAPI D3DXMatrixMultiply(D3DXMATRIX *pout, CONST D3DXMATRIX *pm1, CONST D3DXMATRIX *pm2);
 272 D3DXMATRIX* WINAPI D3DXMatrixMultiplyTranspose(D3DXMATRIX *pout, CONST D3DXMATRIX *pm1, CONST D3DXMATRIX *pm2);
 273 D3DXMATRIX* WINAPI D3DXMatrixOrthoLH(D3DXMATRIX *pout, FLOAT w, FLOAT h, FLOAT zn, FLOAT zf);
 274 D3DXMATRIX* WINAPI D3DXMatrixOrthoOffCenterLH(D3DXMATRIX *pout, FLOAT l, FLOAT r, FLOAT b, FLOAT t, FLOAT zn, FLOAT zf);
 275 D3DXMATRIX* WINAPI D3DXMatrixOrthoOffCenterRH(D3DXMATRIX *pout, FLOAT l, FLOAT r, FLOAT b, FLOAT t, FLOAT zn, FLOAT zf);
 276 D3DXMATRIX* WINAPI D3DXMatrixOrthoLH(D3DXMATRIX *pout, FLOAT w, FLOAT h, FLOAT zn, FLOAT zf);
 277 D3DXMATRIX* WINAPI D3DXMatrixOrthoRH(D3DXMATRIX *pout, FLOAT w, FLOAT h, FLOAT zn, FLOAT zf);
 278 D3DXMATRIX* WINAPI D3DXMatrixPerspectiveFovLH(D3DXMATRIX *pout, FLOAT fovy, FLOAT aspect, FLOAT zn, FLOAT zf);
 279 D3DXMATRIX* WINAPI D3DXMatrixPerspectiveFovRH(D3DXMATRIX *pout, FLOAT fovy, FLOAT aspect, FLOAT zn, FLOAT zf);
 280 D3DXMATRIX* WINAPI D3DXMatrixPerspectiveLH(D3DXMATRIX *pout, FLOAT w, FLOAT h, FLOAT zn, FLOAT zf);
 281 D3DXMATRIX* WINAPI D3DXMatrixPerspectiveOffCenterLH(D3DXMATRIX *pout, FLOAT l, FLOAT r, FLOAT b, FLOAT t, FLOAT zn, FLOAT zf);
 282 D3DXMATRIX* WINAPI D3DXMatrixPerspectiveOffCenterRH(D3DXMATRIX *pout, FLOAT l, FLOAT r, FLOAT b, FLOAT t, FLOAT zn, FLOAT zf);
 283 D3DXMATRIX* WINAPI D3DXMatrixPerspectiveRH(D3DXMATRIX *pout, FLOAT w, FLOAT h, FLOAT zn, FLOAT zf);
 284 D3DXMATRIX* WINAPI D3DXMatrixRotationAxis(D3DXMATRIX *pout, CONST D3DXVECTOR3 *pv, FLOAT angle);
 285 D3DXMATRIX* WINAPI D3DXMatrixRotationQuaternion(D3DXMATRIX *pout, CONST D3DXQUATERNION *pq);
 286 D3DXMATRIX* WINAPI D3DXMatrixRotationX(D3DXMATRIX *pout, FLOAT angle);
 287 D3DXMATRIX* WINAPI D3DXMatrixRotationY(D3DXMATRIX *pout, FLOAT angle);
 288 D3DXMATRIX* WINAPI D3DXMatrixRotationYawPitchRoll(D3DXMATRIX *pout, FLOAT yaw, FLOAT pitch, FLOAT roll);
 289 D3DXMATRIX* WINAPI D3DXMatrixRotationZ(D3DXMATRIX *pout, FLOAT angle);
 290 D3DXMATRIX* WINAPI D3DXMatrixScaling(D3DXMATRIX *pout, FLOAT sx, FLOAT sy, FLOAT sz);
 291 D3DXMATRIX* WINAPI D3DXMatrixTranslation(D3DXMATRIX *pout, FLOAT x, FLOAT y, FLOAT z);
 292 D3DXMATRIX* WINAPI D3DXMatrixTranspose(D3DXMATRIX *pout, CONST D3DXMATRIX *pm);
 293
 294 D3DXVECTOR3* WINAPI D3DXPlaneIntersectLine(D3DXVECTOR3 *pout, CONST D3DXPLANE *pp, CONST D3DXVECTOR3 *pv1, CONST D3DXVECTOR3 *pv2);
 295 D3DXPLANE* WINAPI D3DXPlaneNormalize(D3DXPLANE *pout, CONST D3DXPLANE *pp);
 296
 297 D3DXQUATERNION* WINAPI D3DXQuaternionNormalize(D3DXQUATERNION *pout, CONST D3DXQUATERNION *pq);
 298
 299 D3DXVECTOR2* WINAPI D3DXVec2BaryCentric(D3DXVECTOR2 *pout, CONST D3DXVECTOR2 *pv1, CONST D3DXVECTOR2 *pv2, CONST D3DXVECTOR2 *pv3, FLOAT f, FLOAT g);
 300 D3DXVECTOR2* WINAPI D3DXVec2CatmullRom(D3DXVECTOR2 *pout, CONST D3DXVECTOR2 *pv0, CONST D3DXVECTOR2 *pv1, CONST D3DXVECTOR2 *pv2, CONST D3DXVECTOR2 *pv3, FLOAT s);
 301 D3DXVECTOR2* WINAPI D3DXVec2Hermite(D3DXVECTOR2 *pout, CONST D3DXVECTOR2 *pv1, CONST D3DXVECTOR2 *pt1, CONST D3DXVECTOR2 *pv2, CONST D3DXVECTOR2 *pt2, FLOAT s);
 302 D3DXVECTOR2* WINAPI D3DXVec2Normalize(D3DXVECTOR2 *pout, CONST D3DXVECTOR2 *pv);
 303 D3DXVECTOR4* WINAPI D3DXVec2Transform(D3DXVECTOR4 *pout, CONST D3DXVECTOR2 *pv, CONST D3DXMATRIX *pm);
 304 D3DXVECTOR2* WINAPI D3DXVec2TransformCoord(D3DXVECTOR2 *pout, CONST D3DXVECTOR2 *pv, CONST D3DXMATRIX *pm);
 305 D3DXVECTOR2* WINAPI D3DXVec2TransformNormal(D3DXVECTOR2 *pout, CONST D3DXVECTOR2 *pv, CONST D3DXMATRIX *pm);
 306
 307 D3DXVECTOR3* WINAPI D3DXVec3BaryCentric(D3DXVECTOR3 *pout, CONST D3DXVECTOR3 *pv1, CONST D3DXVECTOR3 *pv2, CONST D3DXVECTOR3 *pv3, FLOAT f, FLOAT g);
 308 D3DXVECTOR3* WINAPI D3DXVec3CatmullRom( D3DXVECTOR3 *pout, CONST D3DXVECTOR3 *pv0, CONST D3DXVECTOR3 *pv1, CONST D3DXVECTOR3 *pv2, CONST D3DXVECTOR3 *pv3, FLOAT s);
 309 D3DXVECTOR3* WINAPI D3DXVec3Hermite(D3DXVECTOR3 *pout, CONST D3DXVECTOR3 *pv1, CONST D3DXVECTOR3 *pt1, CONST D3DXVECTOR3 *pv2, CONST D3DXVECTOR3 *pt2, FLOAT s);
 310 D3DXVECTOR3* WINAPI D3DXVec3Normalize(D3DXVECTOR3 *pout, CONST D3DXVECTOR3 *pv);
 311 D3DXVECTOR3* WINAPI D3DXVec3Project(D3DXVECTOR3 *pout, CONST D3DXVECTOR3 *pv, CONST D3DVIEWPORT8 *pviewport, CONST D3DXMATRIX *pprojection, CONST D3DXMATRIX *pview, CONST D3DXMATRIX *pworld);
 312 D3DXVECTOR4* WINAPI D3DXVec3Transform(D3DXVECTOR4 *pout, CONST D3DXVECTOR3 *pv, CONST D3DXMATRIX *pm);
 313 D3DXVECTOR3* WINAPI D3DXVec3TransformCoord(D3DXVECTOR3 *pout, CONST D3DXVECTOR3 *pv, CONST D3DXMATRIX *pm);
 314 D3DXVECTOR3* WINAPI D3DXVec3TransformNormal(D3DXVECTOR3 *pout, CONST D3DXVECTOR3 *pv, CONST D3DXMATRIX *pm);
 315 D3DXVECTOR3* WINAPI D3DXVec3Unproject(D3DXVECTOR3 *pout, CONST D3DXVECTOR3 *pv, CONST D3DVIEWPORT8 *pviewport, CONST D3DXMATRIX *pprojection, CONST D3DXMATRIX *pview, CONST D3DXMATRIX *pworld);
 316
 317 D3DXVECTOR4* WINAPI D3DXVec4BaryCentric(D3DXVECTOR4 *pout, CONST D3DXVECTOR4 *pv1, CONST D3DXVECTOR4 *pv2, CONST D3DXVECTOR4 *pv3, FLOAT f, FLOAT g);
 318 D3DXVECTOR4* WINAPI D3DXVec4CatmullRom(D3DXVECTOR4 *pout, CONST D3DXVECTOR4 *pv0, CONST D3DXVECTOR4 *pv1, CONST D3DXVECTOR4 *pv2, CONST D3DXVECTOR4 *pv3, FLOAT s);
 319 D3DXVECTOR4* WINAPI D3DXVec4Cross(D3DXVECTOR4 *pout, CONST D3DXVECTOR4 *pv1, CONST D3DXVECTOR4 *pv2, CONST D3DXVECTOR4 *pv3);
 320 D3DXVECTOR4* WINAPI D3DXVec4Hermite(D3DXVECTOR4 *pout, CONST D3DXVECTOR4 *pv1, CONST D3DXVECTOR4 *pt1, CONST D3DXVECTOR4 *pv2, CONST D3DXVECTOR4 *pt2, FLOAT s);
 321 D3DXVECTOR4* WINAPI D3DXVec4Normalize(D3DXVECTOR4 *pout, CONST D3DXVECTOR4 *pv);
 322 D3DXVECTOR4* WINAPI D3DXVec4Transform(D3DXVECTOR4 *pout, CONST D3DXVECTOR4 *pv, CONST D3DXMATRIX *pm);
 323
 324 #ifdef __cplusplus
 325 }
 326 #endif
 327
 328 #include <d3dx8math.inl>
 329
 330 #endif /* __D3DX8MATH_H__ */