l3lib/l3lib_vc3/ll3d_math.h

///////////////////////////////////////////////////////////////////////////////
//
//      ##  ######          
//       ######  ###        Based on:
//  ## ###############      
//   ########## # # #       Shark 3D Engine (www.shark3d.com)
//    ########
//   ######### # # #        Copyright (c) 1996-2001 Spinor GmbH.
//  ##   ##########         
//      ##                  
//        
///////////////////////////////////////////////////////////////////////////////
//
// G A M E.O.N.E - LOW LEVEL LIB V1.0
// Copyright (C) 2001 LEVEL ONE ENTERTAINMENT, 
// Licensed under the terms of LGPL.
//:---------------------------------------------------------------------------
//:Description
//
// LOW LEVEL 3D MATH HEADERFILE
//
//:---------------------------------------------------------------------------

#ifndef _LL3D_MATH_H
#define _LL3D_MATH_H


namespace ll3d {
	
#include <float.h>
#include <math.h>

#ifndef PI
#define PI 3.14159265358979323846f
#endif
#ifndef PI2
#define PI2 (PI*2)
#endif
#ifndef PI180
#define PI180 180.0f / (float)PI
#endif
#ifndef RADIANS
#define RADIANS (float)(PI/180.0f)
#endif
#ifndef GRAVITY
#define GRAVITY 9.81f
#endif

/*
 * Radians Degree Functions
 */
inline float checkRadians( float radians )
{
	if( radians < 0 ) {
		if( radians < -PI2 )
		{
			radians = (float)fmod( radians, PI2);
		}
		radians += PI2;
	}
	else
		if( radians >= PI2 )
			radians = (float)fmod(radians,PI2);
		
		return radians;
}
	
	
/*
 * Grad im Bereich 0 - 360 halten
 * return radians 0-2*PI
 */
inline float checkDegree( float degree )
{
	if( degree < 0 ) {
		if( degree < - 360 )
		{
			degree = (float)fmod(degree,360);
		}
		degree += 360;
	}
	else
		if( degree >= 360 )
			degree = (float)fmod(degree,360);
		
	return degree;
}
	
/*
 * Liefert Radians
 */
inline float getRadians( float degree )
{
	return checkDegree(degree) * RADIANS;
}
	
/*
 * Liefert Radians
 */
inline float getDegree( float radians )
{
	return checkRadians(radians) * PI180;
}	


/*
 * Int/float/double Util Functions
 *
 */
int		IntFloor(double x);
int		IntFloor(float x);
int		IntCeil(double x);
int		IntCeil(float x);
int		IntNearest(double x);
int		IntNearest(float x);

bool	IsFinite(double x);
bool	IsFinite(float x);

double	Abs(double x);
float	Abs(float x);
int		Abs(int x);
double	Sign(double x);
float	Sign(float x);
double	Round(double x);
float	Round(float x);
double	Floor(double x);
float	Floor(float x);
double	Ceil(double x);
float	Ceil(float x);
double	Mod(double x, double y);
float	Mod(float x, float y);

inline int IntFloor(double x)	{	return int(floor(x)); }
inline int IntFloor(float x)	{	return int(floor(x)); }
inline int IntCeil(double x)	{	return int(ceil(x)); }
inline int IntCeil(float x)		{	return int(ceil(x)); }
inline int IntNearest(double x)	{	return int(floor(x + 0.5)); }
inline int IntNearest(float x)	{	return int(floor(x + 0.5)); }
inline bool IsFinite(double x)	{	return __finite(x) != 0; }
inline bool IsFinite(float x)	{	return __finite(x) != 0; }
inline double Abs(double x)		{	return fabs(x); }
inline float Abs(float x)		{	return float(fabs(x)); }
inline int Abs(int x)			{	return (x < 0 ) ? - x : x; }
inline double Sign(double x)	{	return (x < 0) ? -1.0 : (x > 0) ? 1.0 : 0.0; }
inline float Sign(float x)		{	return (x < 0) ? -1.0f : (x > 0) ? 1.0f : 0.0f; }
inline double Round(double x)	{	return floor(x+0.5);	}	
inline float Round(float x)		{	return float(floor(x+0.5f)); }		
inline double Floor(double x)	{	return floor(x); }
inline float Floor(float x)		{	return float(floor(x)); }
inline double Ceil(double x)	{	return ceil(x); }
inline float Ceil(float x)		{	return float(ceil(x)); }
inline double Mod(double x, double y)
{ 
    double r = fmod(x, y);
    if(r < 0)
        r += fabs(y);
    return r;
}
inline float Mod(float x, float y)
{ 
    double r = fmod(x, y);
    if(r < 0)
        r += fabs(y);
    return float(r);
}


/*
 * Min Max
 */
template<typename T> inline T Min(T x, T y)			{	return x < y ? x : y; }
template<typename T> inline T Max(T x, T y)			{	return x > y ? x : y; }
template<typename T> inline T Min(T x, T y, T z)	{	return Min(x, Min(y, z));}
template<typename T> inline T Max(T x, T y, T z)	{	return Max(x, Max(y, z));}


/*
 * Math functions
 * --------------
 */

/*
 * double Acos(double x);
 * float Acos(float x);
*/
inline double Acos(double x)	{	return acos(x); }
inline float Acos(float x)		{	return float(acos(x)); }
	
/*
 * double Asin(double x);
 * float  Asin(float x);
 */
inline double Asin(double x)	{	return asin(x); }
inline float Asin(float x)		{	return float(asin(x)); }

/*
 * double Atan(double x);
 * float  Atan(float x);
 */
inline double Atan(double x)	{	return atan(x); }
inline float Atan(float x)		{	return float(atan(x)); }

/*
 * double Atan2(double x, double y);
 * float Atan2(float x, float y);
 */
inline double Atan2(double x, double y)		{	return atan2(x, y); }
inline float Atan2(float x, float y)		{	return float(atan2(x, y)); }

/*
 * double Cos(double x);
 * float Cos(float x);
 */
inline double Cos(double x)		{	return cos(x); }
inline float Cos(float x)		{	return float(cos(x)); }


/*
 * double Exp(double x);
 * float Exp(float x);
 */
inline double Exp(double x)		{	return exp(x); }
inline float Exp(float x)		{   return float(exp(x));}

/*
 * double Sin(double x);
 * float Sin(float x);
 */
inline double Sin(double x)		{	return sin(x); }
inline float Sin(float x)		{	return float(sin(x)); }

/*
 * double Sqrt(double x);
 * float Sqrt(float x);
 */
inline double Sqrt(double x)	{	return sqrt(x); }
inline float Sqrt(float x)		{	return float(sqrt(x)); }

/*
 * double Log(double x);
 * float Log(float x);
 */
inline double Log(double x)		{	return log(x); }
inline float Log(float x)		{	return float(log(x)); }

/*
 * double Tan(double x);
 * float Tan(float x);
 */
inline double Tan(double x)		{	return tan(x); }
inline float Tan(float x)		{	return float(tan(x)); }


}//namespace ll3d
#endif //_LL3D_MATH_H