iAMathUtility.cpp File Reference

#include "iAMathUtility.h"
#include "iAConsole.h"
#include <vtkMath.h>
#include <algorithm>
#include <numeric>

Include dependency graph for iAMathUtility.cpp:

Functions
open_iA_Core_API double	covariance (FuncType const &func1, FuncType const &func2, double mean1, double mean2, bool correctDF)
	Compute covariance between two functions. More...
open_iA_Core_API std::vector< double >	derivative (std::vector< double > const &func)
	Calculate first derivative of a given function. More...
double	gaussian (double x, double sigma)
	Compute Gaussian function for the given value x and parameter sigma (mean = 0). More...
std::vector< double >	gaussianKernel (double kernelSigma, size_t kernelSteps)
	Compute a gaussian kernel with the given sigma (mean = 0). More...
std::vector< double >	gaussianSmoothing (std::vector< double > const &data, double kernelSigma, int kernelSteps)
	Convolutes the given function with a Gaussian kernel with the given sigma and steps. More...
open_iA_Core_API double	mean (FuncType const &func)
	Compute the mean of a function. More...
open_iA_Core_API double	pearsonsCorrelationCoefficient (FuncType const &func1, FuncType const &func2)
	Calculate the Pearson's correlation coefficient between two functions. More...
open_iA_Core_API double	standardDeviation (FuncType const &func, double meanVal, bool correctDF)
	Compute the standard deviation of a function. mean can be given (to improve speed). More...
open_iA_Core_API double	variance (FuncType const &func, double meanVal, bool correctDF)
	Compute the variation of a function. If known, mean can be given (to improve speed). More...

Function Documentation

covariance()

open_iA_Core_API double covariance	(	FuncType const &	func1,
		FuncType const &	func2,
		double	mean1,
		double	mean2,
		bool	correctDF
	)

Compute covariance between two functions.

derivative()

open_iA_Core_API std::vector<double> derivative

(

std::vector< double > const &

func

)

Calculate first derivative of a given function.

gaussian()

double gaussian	(	double	x,
		double	sigma
	)

Compute Gaussian function for the given value x and parameter sigma (mean = 0).

gaussianKernel()

std::vector<double> gaussianKernel	(	double	kernelSigma,
		size_t	kernelSteps
	)

Compute a gaussian kernel with the given sigma (mean = 0).

gaussianSmoothing()

std::vector<double> gaussianSmoothing	(	FuncType const &	data,
		double	kernelSigma,
		int	kernelSteps
	)

Convolutes the given function with a Gaussian kernel with the given sigma and steps.

TODO: number of steps could be calculated from sigma (cut off kernel when factor gets very small)

mean()

open_iA_Core_API double mean

(

FuncType const &

func

)

Compute the mean of a function.

pearsonsCorrelationCoefficient()

open_iA_Core_API double pearsonsCorrelationCoefficient	(	FuncType const &	func1,
		FuncType const &	func2
	)

Calculate the Pearson's correlation coefficient between two functions.

standardDeviation()

open_iA_Core_API double standardDeviation	(	FuncType const &	func,
		double	meanVal,
		bool	correctDF
	)

Compute the standard deviation of a function. mean can be given (to improve speed).

variance()

open_iA_Core_API double variance	(	FuncType const &	func,
		double	meanVal,
		bool	correctDF
	)

Compute the variation of a function. If known, mean can be given (to improve speed).