#include <math.h>
#include <cmath>
#include "../BasicDatatypes.hpp"

Include dependency graph for MathToolbox.hpp:

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Functions
bool	fuzzyCompare (double a, double b)
	Tests if two `double` values are nearly equal. More...

bool	fuzzyCompare (float a, float b)
	Tests if two `float` values are nearly equal. More...

double	hypot (double x, double y, double z)

template<typename floatT >
bool	isNaN (floatT x)
	Checks if a floating point value is Not-a-Number (NaN) More...

double	normalizeRadians (double radians)

template<typename IntT >
IntT	round_to_int (float floatValue)
	Round to the closest integer. More...

template<typename IntT >
IntT	round_to_int (double floatValue)
	Round to the closest integer. More...

double	sqr (double val)

Variables
const double	NaN_double
	Not-a-Number in double precision. More...

Function Documentation

bool fuzzyCompare	(	double	a,
		double	b
	)

inline

Tests if two double values are nearly equal.

Returns: true if the two double numbers are equal in terms of the machine precision, which means their difference must be less than 1E-11.

Definition at line 28 of file MathToolbox.hpp.

bool fuzzyCompare	(	float	a,
		float	b
	)

inline

Tests if two float values are nearly equal.

Returns: true if the two float numbers are equal in terms of the machine precision, which means their difference must be less than 1E-6.

Definition at line 47 of file MathToolbox.hpp.

double hypot	(	double	x,
		double	y,
		double	z
	)

Berechne die Laenge der Hypothenuse

Definition at line 19 of file MathToolbox.cpp.

template<typename floatT >

bool isNaN ( floatT x )

inline

Checks if a floating point value is Not-a-Number (NaN)

The floating-point standard IEC 559 (a.k.a. IEEE 754) specifies that a floating-point value x represents NaN if x != x.

See also: NaN, NaN_double, http://en.wikipedia.org/wiki/IEC_559

Definition at line 63 of file MathToolbox.hpp.

double normalizeRadians ( double radians )

Normalizes an angle given in radians by adding or subtracting an integer multiple of 2*pi so that the resulting angle is in the half-open interval [-pi,+pi). The current implementation takes O(1) time, i.e. the time of execution has a fixed upper boundary independend from the angle.

Definition at line 31 of file MathToolbox.cpp.

template<typename IntT >

IntT round_to_int ( float floatValue )

inline

Round to the closest integer.

Parameters

floatValue The float value that shall be rounded

Returns: floatValue rounded to the closest integer

Definition at line 74 of file MathToolbox.hpp.

template<typename IntT >

IntT round_to_int ( double floatValue )

inline

Round to the closest integer.

Parameters

floatValue The float value that shall be rounded

Returns: floatValue rounded to the closest integer

Definition at line 88 of file MathToolbox.hpp.

double sqr ( double val )

inline

Definition at line 36 of file MathToolbox.hpp.

Variable Documentation

const double NaN_double

Not-a-Number in double precision.

Definition at line 13 of file MathToolbox.cpp.

Functions

Variables

Function Documentation

Variable Documentation