include/VR3Math.h
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00001 00002 00003 00004 00005 00006 00007 00008 00009 00010 00011 // Copyright (C) 2010 Daniele Giannetti 00012 // 00013 // This file is part of VR3Lib. 00014 // The VR3Lib is free software, but is distributed in the static precompiled 00015 // version as it is NOT open source. The VR3Lib may be used in any virtual 00016 // reality application free of charge, but it must be clearly stated that this 00017 // library is used in the application EULA and distribution license 00018 // (for both free and proprietary applications). 00020 00021 #ifndef __VR3MATH_H__ 00022 #define __VR3MATH_H__ 00023 00025 #define VR3MATH_MAX2(A,B) ((A)>(B))?(A):(B) 00026 00027 #define VR3MATH_MIN2(A,B) ((A)<(B))?(A):(B) 00028 00029 #define VR3MATH_MAX3(A,B,C) ((A)>(B))?((A)>(C)?(A):(C)):((B)>(C)?(B):(C)) 00030 00031 #define VR3MATH_MIN3(A,B,C) ((A)<(B))?((A)<(C)?(A):(C)):((B)<(C)?(B):(C)) 00032 00034 #define VR3MATH_PI 3.14159265f 00035 00037 namespace VR3Math { 00038 00039 //------------------------- 3-Components Vectors -----------------------------// 00040 00042 00043 00045 00053 GLvoid Cross3( GLfloat result[3], const GLfloat vector0[3], 00054 const GLfloat vector1[3] ); 00055 00057 00062 GLfloat Dot3(const GLfloat vector0[3], const GLfloat vector1[3]); 00063 00065 00067 GLfloat EuclideanNorm3(const GLfloat vector[3]); 00068 00070 00072 GLfloat EuclideanNorm3(const GLfloat x, const GLfloat y, const GLfloat z); 00073 00075 00077 GLvoid Normalize3(GLfloat vector[3]); 00078 00080 00081 //----------------------------- 4x4 Matrices ---------------------------------// 00082 00084 00085 00087 00089 GLfloat Determinant4x4(const GLfloat m[16]); 00090 00092 00101 GLboolean InvertMatrix4x4(GLfloat result[16], const GLfloat m[16]); 00102 00104 00112 GLvoid MultMatrix4x4(GLfloat matrix[16], const GLfloat matrix0[16], const GLfloat matrix1[16]); 00113 00115 00119 GLvoid LoadIdentity4x4(GLfloat matrix[16]); 00120 00122 00129 GLvoid Rotate4x4(GLfloat matrix[16], GLfloat angle, GLfloat x, GLfloat y, GLfloat z); 00130 00132 00141 GLvoid RotateAngles4x4(GLfloat matrix[16], GLfloat ax, GLfloat ay, GLfloat az); 00142 00144 00150 GLvoid Translate4x4(GLfloat matrix[16], GLfloat x, GLfloat y, GLfloat z); 00151 00153 00159 GLvoid Scale4x4(GLfloat matrix[16], GLfloat x, GLfloat y, GLfloat z); 00160 00162 00172 GLvoid LookAt4x4( GLfloat result[16], 00173 GLfloat eyeX, GLfloat eyeY, GLfloat eyeZ, 00174 GLfloat centerX, GLfloat centerY, GLfloat centerZ, 00175 GLfloat upX, GLfloat upY, GLfloat upZ ); 00176 00178 00186 GLvoid Ortho4x4( GLfloat result[16], 00187 GLfloat left, GLfloat right, 00188 GLfloat bottom, GLfloat top, 00189 GLfloat nearVal, GLfloat farVal ); 00190 00192 00200 GLvoid Perspective4x4(GLfloat result[16], 00201 GLfloat fovy, GLfloat aspect, GLfloat zNear, GLfloat zFar); 00202 00204 00211 GLvoid Frustum4x4(GLfloat result[16], 00212 GLfloat left, GLfloat right, GLfloat bottom, GLfloat top, 00213 GLfloat nearVal, GLfloat farVal); 00214 00216 00217 //------------------------- Matrices and vectors -----------------------------// 00218 00220 00221 00223 00235 GLvoid MultMat4x4Vector3( GLfloat result[3], 00236 const GLfloat matrix[16], const GLfloat vector[3]); 00237 00239 00246 GLvoid MultMat4x4Vector4( GLfloat result[4], 00247 const GLfloat matrix[16], const GLfloat vector[4]); 00248 00250 00251 //------------------------------- Triangles ----------------------------------// 00252 00254 00255 00257 00260 void TriangleNormal( const GLfloat* vertex1, const GLfloat* vertex2, 00261 const GLfloat* vertex3, GLfloat* normal ); 00262 00264 00265 } 00266 00267 #endif
