Math.cpp File Reference

#include "Math.h"

Include dependency graph for Math.cpp:

Namespaces
namespace	autopas
	This is the main namespace of AutoPas.
namespace	autopas::utils
	In this namespace some helper classes and functions can be found used inside of AutoPas.

Functions
double	autopas::utils::Math::normalPDF (double x)
	Probability density function PDF of the standard normal distribution.
double	autopas::utils::Math::normalCDF (double x)
	Cumulative distribution function CDF of the standard normal distribution.
double	autopas::utils::Math::sigmoid (double x)
	Sigmoid logistic function.
bool	autopas::utils::Math::isNearRel (double a, double b, double maxRelativeDifference=1e-9)
	Determines if two doubles are near each other.
bool	autopas::utils::Math::isNearAbs (double a, double b, double maxAbsoluteDifference)
	Determines if two doubles are near each other.
double	autopas::utils::Math::roundFixed (double d, int fixedPrecision)
	Round a floating point number to a given number of decimal digits.
double	autopas::utils::Math::roundFloating (double d, int floatingPrecision)
	Round a floating point number to a given floating precision.
Eigen::VectorXd	autopas::utils::Math::makeVectorXd (const std::vector< double > &elements)
	Create a vector of doubles from given elements.
Eigen::VectorXi	autopas::utils::Math::makeVectorXi (const std::vector< int > &elements)
	Create a vector of ints from given elements.

Detailed Description

Author

Jan Nguyen

Date

18.08.19

Function Documentation

isNearAbs()

bool autopas::utils::Math::isNearAbs	(	double	a,
		double	b,
		double	maxAbsoluteDifference
	)

Determines if two doubles are near each other.

This function should be preferred to comparing with ==.

Parameters

a
b
maxAbsoluteDifference	inclusive

Returns

isNearRel()

bool autopas::utils::Math::isNearRel	(	double	a,
		double	b,
		double	maxRelativeDifference = 1e-9
	)

Determines if two doubles are near each other.

This function should be preferred to comparing with ==.

Parameters

a
b
maxRelativeDifference	inclusive, relative to max(|a|, |b|).

Returns

makeVectorXd()

Eigen::VectorXd autopas::utils::Math::makeVectorXd

(

const std::vector< double > &

elements

)

Create a vector of doubles from given elements.

Parameters

elements

Returns

makeVectorXi()

Eigen::VectorXi autopas::utils::Math::makeVectorXi

(

const std::vector< int > &

elements

)

Create a vector of ints from given elements.

Parameters

elements

Returns

normalCDF()

double autopas::utils::Math::normalCDF

(

double

x

)

Cumulative distribution function CDF of the standard normal distribution.

Parameters

x

Returns

CDF(x)

normalPDF()

double autopas::utils::Math::normalPDF

(

double

x

)

Probability density function PDF of the standard normal distribution.

Parameters

x

Returns

PDF(x)

roundFixed()

double autopas::utils::Math::roundFixed	(	double	d,
		int	fixedPrecision
	)

Round a floating point number to a given number of decimal digits.

Parameters

d	Number to round.
fixedPrecision	Number of decimal digits. Negative values lead to rounding of digits left of the decimal.

Returns

d rounded to the given number of digits.

roundFloating()

double autopas::utils::Math::roundFloating	(	double	d,
		int	floatingPrecision
	)

Round a floating point number to a given floating precision.

Parameters

d	Number to round.
floatingPrecision	Number of significant digits. Values <0 will return in 0.

Returns

d rounded to the given number of digits.

sigmoid()

double autopas::utils::Math::sigmoid

(

double

x

)

Sigmoid logistic function.

Parameters

x

Returns

S(x)