mathdefs.h

本程序描述的是一个三维织物动感模拟系统。计算机生成真实感服装被列入计算机图形学亟需解决的三大问题之一。

///////////////////////////////////////////////////////////////////////////////
//
// MathDefs.h : Math Structure Header File
//
// Purpose:	Declare Basic Math Structures
//
// I DIDN'T PUT THESE IN A C++ CLASS FOR CROSS PLATFORM COMPATIBILITY
// SINCE THE ENGINE MAY BE IMPLEMENTED ON CONSOLES AND OTHER SYSTEMS
//
// Created:
//		JL 9/1/97		
// Revisions:
//		Integrated into Kine Demo		8/18/98
//
///////////////////////////////////////////////////////////////////////////////
//
//	Copyright 1998 Jeff Lander, All Rights Reserved.
//  For educational purposes only.
//  Please do not republish in electronic or print form without permission
//  Thanks - [e-mail]
//
///////////////////////////////////////////////////////////////////////////////

#if !defined(MATHDEFS_H__INCLUDED_)
#define MATHDEFS_H__INCLUDED_

#define M_PI        3.14159265358979323846f
#define HALF_PI	    1.57079632679489661923f

/// Trig Macros ///////////////////////////////////////////////////////////////
#define DEGTORAD(A)	((A * M_PI) / 180.0f)
#define RADTODEG(A)	((A * 180.0f) / M_PI)
///////////////////////////////////////////////////////////////////////////////

typedef struct
{
	union {
		float x;
		float u;
		float r;
	};
	union {
		float y;
		float v;
		float g;
	};
	union {
		float z;
		float w;
		float b;
	};
} tVector;

// NOT DECLARED AS float[4][4] BECAUSE OPENGL ACCESSES THIS STRANGLY
typedef struct
{
	float m[16];
} tMatrix;

// SOME STRUCTURES TO HELP ME ACCESS VERTEX DATA IN AN ARRAY
typedef struct
{
	float r,g,b;
	float x,y,z;
} tColoredVertex;

typedef struct
{
	float u,v;
	float x,y,z;
} tTexturedVertex;

typedef struct
{
	float u,v;
	float r,g,b;
	float x,y,z;
} tTexturedColoredVertex;

typedef struct
{
	float nx,ny,nz;
	float x,y,z;
} tNormalVertex;

typedef struct
{
	float u,v;
	float nx,ny,nz;
	float x,y,z;
} tTexturedNormalVertex;


/// Quaternion Definitions ////////////////////////////////////////////////////
typedef struct
{
	float x,y,z,w;
} tQuaternion;
///////////////////////////////////////////////////////////////////////////////

#define MAKEVECTOR(a,vx,vy,vz)	a.x = vx; a.y = vy; a.z = vz;

void	MultVectorByMatrix(tMatrix *mat, tVector *v,tVector *result);
double	VectorSquaredLength(tVector *v); 
double	VectorLength(tVector *v); 
void	NormalizeVector(tVector *v); 
double	DotProduct(tVector *v1, tVector *v2);
void	CrossProduct(tVector *v1, tVector *v2, tVector *result);
double	VectorSquaredDistance(tVector *v1, tVector *v2);
void	ScaleVector(tVector *v, float scale, tVector *result);
void	VectorSum(tVector *v1, tVector *v2, tVector *result);
void	VectorDifference(tVector *v1, tVector *v2, tVector *result);

#endif // !defined(MATH_H__INCLUDED_)