Mathematical functions. More...

#include "KernelMath.h"
#include <stdlib.h>
#include <math.h>

Include dependency graph for OwnMath.h:

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Classes
class	tSinCosLookupTable

Functions
int *	Add (int a, int b, int size)

double	Ceil (double value, int precision=0)

double	Deg2Rad (double a)

int *	Div (int *a, int b, int size)

int *	Div (int a, int b, int c, int size)

double	FastCos (double x)

double	FastSin (double x)

bool	FloatIsEqual (const double a, const double b, const double epsilon=1e-10)

double	Floor (double value, int precision=0)

int	ipow (int base, int exponent)
	An integer pow-function. More...

int	log2upw (int value)
	calculates log_2, rounded upward More...

int	log8upw (int value)
	calculates log_8, rounded upward More...

double	Mod (double a, double b)

double	Mod (double a, int b)

int	Mod (int a, int b)

long int	Mod (long int a, long int b)

double	NormalizeAngleInDegreeSigned (const double angle)

double	NormalizeAngleSigned (const double angle)

double	NormalizeAngleUnsigned (const double angle)

int	Pow (int a, int b)

double	Rad2Deg (double a)

double	RandomNormal (double variance)

double	RandomUniform ()

double	RandomUniformAbs ()

double	Round (double value, int precision=0)

int	Sgn (double a)

int	Sgn (long double a)

int	Sgn (long a)

int	Sgn0 (double a)

int	Sgn0 (long double a)

int	Sgn0 (long a)

void	SinCos (const double x, double &sx, double &cx)

template<typename T >
T	Sqr (T a)

double	Sqrt (double a)

int *	Sum (int a, int b, int *c, int size)

Variables
tSinCosLookupTable	sin_cos_lookup_table

Detailed Description

Mathematical functions.

Author: Bernd Ga�mann

Date: 14.04.00

Defines often used mathematical functions with are not part of the GNU math library. math.h/math166.h/rt_math.h is included.

If the macro MATH_USE_PRECISE_OPS is defined, the standard precise versions of sin() and cos() are called. Otherwise fast versions are used, which use table lookup in the range [-2pi,2pi].

Definition in file OwnMath.h.

Function Documentation

int* Add	(	int *	a,
		int *	b,
		int	size
	)

inline

Adds 2 integer arrays. The result is stored in a.

Definition at line 217 of file OwnMath.h.

double Ceil	(	double	value,
		int	precision = `0`
	)

inline

Performs a ceil for a double value with a specified precision.

Definition at line 203 of file OwnMath.h.

double Deg2Rad ( double a )

inline

Converts the angle a from degree to radiant and returns the result.

Definition at line 161 of file OwnMath.h.

int* Div	(	int *	a,
		int	b,
		int	size
	)

inline

Divides each element ao the array a with b. The resut is stored in a..

Definition at line 235 of file OwnMath.h.

int* Div	(	int *	a,
		int	b,
		int *	c,
		int	size
	)

inline

Divides each element ao the array a with b. The resut is stored in c.

Definition at line 244 of file OwnMath.h.

double FastCos ( double x )

inline

Definition at line 413 of file OwnMath.h.

double FastSin ( double x )

inline

Definition at line 404 of file OwnMath.h.

bool FloatIsEqual	(	const double	a,
		const double	b,
		const double	epsilon = `1e-10`
	)

inline

FloatIsEqual function compares float values by testing against epsilon neighbourhood

Parameters

a	a float or double value
b	a float or double value
epsilon	minimum difference, defines epsilon neighbourhood

Returns: true if |a-b| < epsilon, else false

Definition at line 430 of file OwnMath.h.

double Floor	(	double	value,
		int	precision = `0`
	)

inline

Performs a floor for a double value with a specified precision.

Definition at line 210 of file OwnMath.h.

int ipow	(	int	base,
		int	exponent
	)

inline

An integer pow-function.

Calculates $b^e , b \ge 0, e \ge 0$

Parameters

base	the base (b)
exponent	the exponent (e)

Returns: pow(base,exponent) or 0, if base or exponent are < 0

Definition at line 308 of file OwnMath.h.

int log2upw ( int value )

inline

calculates log_2, rounded upward

Parameters

value an integer value

Returns: log_2(value), rounded upward

Definition at line 327 of file OwnMath.h.

int log8upw ( int value )

inline

calculates log_8, rounded upward

Parameters

value an integer value

Returns: log_8(value), rounded upward

Definition at line 342 of file OwnMath.h.

double Mod	(	double	a,
		double	b
	)

inline

Evaluates a fmod(b) and returns the result (0 <= result < b).

Definition at line 80 of file OwnMath.h.

double Mod	(	double	a,
		int	b
	)

inline

Evaluates a fmod(b) and returns the result (0 <= result < b).

Definition at line 88 of file OwnMath.h.

int Mod	(	int	a,
		int	b
	)

inline

Evaluates a mod(b) and returns the result (0 <= result < b).

Definition at line 95 of file OwnMath.h.

long int Mod	(	long int	a,
		long int	b
	)

inline

Evaluates a mod(b) and returns the result (0 <= result < b).

Definition at line 103 of file OwnMath.h.

double NormalizeAngleInDegreeSigned ( const double angle )

inline

return the angle (in degree) normalized to [-180, 180)

Definition at line 182 of file OwnMath.h.

double NormalizeAngleSigned ( const double angle )

inline

return the angle (in rad) normalized to [-M_PI, M_PI)

Definition at line 174 of file OwnMath.h.

double NormalizeAngleUnsigned ( const double angle )

inline

return the angle (in rad) normalized to [0, 2*M_PI)

Definition at line 168 of file OwnMath.h.

int Pow	(	int	a,
		int	b
	)

inline

returns a power b for int values

Definition at line 188 of file OwnMath.h.

double Rad2Deg ( double a )

inline

Converts the angle a from radiant to degree and returns the result.

Definition at line 153 of file OwnMath.h.

double RandomNormal ( double variance )

inline

returns a normal distributed random value with specified variance. Mean values is 0.

Definition at line 287 of file OwnMath.h.

double RandomUniform ( )

inline

returns uniformly distributed random value from intervall [-1,1]

Definition at line 278 of file OwnMath.h.

double RandomUniformAbs ( )

inline

returns uniformly distributed random value from intervall [0,1]

Definition at line 269 of file OwnMath.h.

double Round	(	double	value,
		int	precision = `0`
	)

inline

Rounds a double value with a specified precision.

Definition at line 196 of file OwnMath.h.

int Sgn ( double a )

inline

Returns the sign (1 or -1) of a. The sign of zero here is defined as 1!

Definition at line 111 of file OwnMath.h.

int Sgn ( long double a )

inline

Returns the sign (1 or -1) of a. The sign of zero here is defined as 1!

Definition at line 118 of file OwnMath.h.

int Sgn ( long a )

inline

Returns the sign (1 or -1) of a. The sign of zero here is defined as 1!

Definition at line 139 of file OwnMath.h.

int Sgn0 ( double a )

inline

Returns the sign (1, -1 or 0) of a. The sign of zero here is defined as 0!

Definition at line 125 of file OwnMath.h.

int Sgn0 ( long double a )

inline

Returns the sign (1, -1 or 0) of a. The sign of zero here is defined as 0!

Definition at line 132 of file OwnMath.h.

int Sgn0 ( long a )

inline

Returns the sign (1, -1 or 0) of a. The sign of zero here is defined as 0!

Definition at line 146 of file OwnMath.h.

void SinCos	(	const double	x,
		double &	sx,
		double &	cx
	)

inline

sincos function x angle in rad sx, cx the return values contain the sinus and the cosinus of x

Definition at line 358 of file OwnMath.h.

template<typename T >

T Sqr ( T a )

inline

returns the square of a value

Definition at line 254 of file OwnMath.h.

double Sqrt ( double a )

inline

return the square root of a value

Definition at line 260 of file OwnMath.h.

int* Sum	(	int *	a,
		int *	b,
		int *	c,
		int	size
	)

inline

Adds 2 integer arrays. The result is stored in c.

Definition at line 226 of file OwnMath.h.

Variable Documentation

tSinCosLookupTable sin_cos_lookup_table

Definition at line 39 of file OwnMath.cpp.

Classes

Functions

Variables

Detailed Description

Function Documentation

Variable Documentation