OwnMath.h File Reference

Mathematical functions. More...

#include "KernelMath.h"
#include <stdlib.h>
#include <math.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.
int	log2upw (int value)
	calculates log_2, rounded upward
int	log8upw (int value)
	calculates log_8, rounded upward
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 Gaßmann

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

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.

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Variable Documentation

tSinCosLookupTable sin_cos_lookup_table

Definition at line 39 of file OwnMath.cpp.