mathtools.h File Reference

#include <vector>
#include <cmath>
#include <functional>
#include <algorithm>
#include <limits>
#include "../system/prerequisites.h"

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Namespaces
	MathTools

Functions
template<class T >
int	MathTools::roundToInteger (T x)
	Round a floating point number to an integer. More...
double	MathTools::computeMoment (const std::vector< double > &v, const int n)
	Determine the n-th moment of a distribution stored in a vector. More...
void	MathTools::normalize (std::vector< double > &vec)
	Normalize a distribution stored in a vector. More...
double	MathTools::computeNorm (std::vector< double > &vec)
	Compute the norm of a vector. More...
void	MathTools::coarseGrainSpectrum (const std::vector< double > &X, std::vector< double > &Y, std::function< double(double y)> f, double exponent=0)
double	MathTools::computeEntropy (const std::vector< double > &v)
	Compute the Shannon entropy of a normalized probability distribution. More...
double	MathTools::computeRenyiEntropy (const std::vector< double > &v, const double q)
	Compute the Renyi entropy of a normalized probability distribution. More...
int	MathTools::findMaximum (const std::vector< double > &X, int i, int j)
	Find the component where the vector has its maximum. More...
int	MathTools::findMaximum (const std::vector< double > &X)
double	MathTools::findSmoothedMaximum (const std::vector< double > &x)
	Use a parabola to fit the maximum. More...
double	MathTools::weightedArithmetricMean (const std::vector< double > &Y, size_t start=0, size_t end=std::numeric_limits< size_t >::max())
	Computes the weighted arithmetric mean index of the given Y data. More...
double	MathTools::restrictToInterval (double x, double xmin, double xmax)
	Restrict floating point value to an interval. More...
template<typename T >
void	MathTools::transformVector (const std::vector< T > &v, std::vector< T > &w, std::function< T(T)> f)
	Map a vector to a different one by a unary map. More...
template<typename T >
std::vector< T >	MathTools::transformVector (const std::vector< T > &v, std::function< T(T)> f)

Variables
const double	MathTools::PI = 3.14159265358979323846
const double	MathTools::TWO_PI = 2 * PI
const double	MathTools::LOG2 = 0.69314718055994530942