Integrator.hpp File Reference

One-dimensional numerical integration routines. More...

#include <functional>
#include "lib/Assert.hpp"
#include "FrgCommon.hpp"

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Functions
template<class T >
T	Integrator::integrate (const FrequencyIterator min, const FrequencyIterator max, const std::function< T(float)> &integrand)
	One-dimensional trapezoidal integration in one-dimensional frequency space. More...
template<class T >
T	Integrator::integrateWithObscureLeftBoundary (const float min, const FrequencyIterator max, const std::function< T(float)> &integrand)
	One-dimensional trapezoidal integration in one-dimensional frequency space. More...
template<class T >
T	Integrator::integrateWithObscureRightBoundary (const FrequencyIterator min, const float max, const std::function< T(float)> &integrand)
	One-dimensional trapezoidal integration in one-dimensional frequency space. More...
template<class T >
T	Integrator::integrateWithObscureBoundaries (const float min, const float max, const std::function< T(float)> &integrand)
	One-dimensional trapezoidal integration in one-dimensional frequency space. More...
template<class T >
void	ImplicitIntegrator::integrateWithObscureLeftBoundary (const float min, const FrequencyIterator max, const std::function< void(float, T &)> &integrand, T &integrandBuffer, T &resultBuffer)
	One-dimensional trapezoidal integration in one-dimensional frequency space. First argument of the integrand function is the frequency value, the second argument is the return value of the integrand, passed by reference. More...
template<class T >
void	ImplicitIntegrator::integrateWithObscureRightBoundary (const FrequencyIterator min, const float max, const std::function< void(float, T &)> &integrand, T &integrandBuffer, T &resultBuffer)
	One-dimensional trapezoidal integration in one-dimensional frequency space. First argument of the integrand function is the frequency value, the second argument is the return value of the integrand, passed by reference. More...
template<class T >
void	ImplicitIntegrator::integrateWithObscureBoundaries (const float min, const float max, const std::function< void(float, T &)> &integrand, T &integrandBuffer, T &resultBuffer)
	One-dimensional trapezoidal integration in one-dimensional frequency space. First argument of the integrand function is the frequency value, the second argument is the return value of the integrand, passed by reference. More...

Detailed Description

One-dimensional numerical integration routines.

Author

Finn Lasse Buessen

Copyright

Copyright (c) 2020

Function Documentation

integrate()

template<class T >

T Integrator::integrate	(	const FrequencyIterator	min,
		const FrequencyIterator	max,
		const std::function< T(float)> &	integrand
	)

One-dimensional trapezoidal integration in one-dimensional frequency space.

Template Parameters

T	Integrand type.

Parameters

min	Iterator to lower boundary frequency value.
max	Iterator to upper boundary frequency value.
integrand	Integrand function.

Returns

T Value of the integral.

integrateWithObscureBoundaries() [1/2]

template<class T >

T Integrator::integrateWithObscureBoundaries	(	const float	min,
		const float	max,
		const std::function< T(float)> &	integrand
	)

One-dimensional trapezoidal integration in one-dimensional frequency space.

Template Parameters

T	Integrand type.

Parameters

min	Lower boundary frequency value.
max	Upper boundary frequency value.
integrand	Integrand function.

Returns

T Value of the integral.

integrateWithObscureBoundaries() [2/2]

template<class T >

void ImplicitIntegrator::integrateWithObscureBoundaries	(	const float	min,
		const float	max,
		const std::function< void(float, T &)> &	integrand,
		T &	integrandBuffer,
		T &	resultBuffer
	)

One-dimensional trapezoidal integration in one-dimensional frequency space. First argument of the integrand function is the frequency value, the second argument is the return value of the integrand, passed by reference.

Template Parameters

T	Integrand type.

Parameters

[in]	min	Lower boundary frequency value.
[in]	max	Upper boundary frequency value.
[in]	integrand	Integrand function.
[out]	integrandBuffer	Return value buffer of the integrand.
[out]	resultBuffer	Value of the integral.

integrateWithObscureLeftBoundary() [1/2]

template<class T >

T Integrator::integrateWithObscureLeftBoundary	(	const float	min,
		const FrequencyIterator	max,
		const std::function< T(float)> &	integrand
	)

One-dimensional trapezoidal integration in one-dimensional frequency space.

Template Parameters

T	Integrand type.

Parameters

min	Lower boundary frequency value.
max	Iterator to upper boundary frequency value.
integrand	Integrand function.

Returns

T Value of the integral.

integrateWithObscureLeftBoundary() [2/2]

template<class T >

void ImplicitIntegrator::integrateWithObscureLeftBoundary	(	const float	min,
		const FrequencyIterator	max,
		const std::function< void(float, T &)> &	integrand,
		T &	integrandBuffer,
		T &	resultBuffer
	)

One-dimensional trapezoidal integration in one-dimensional frequency space. First argument of the integrand function is the frequency value, the second argument is the return value of the integrand, passed by reference.

Template Parameters

T	Integrand type.

Parameters

[in]	min	Lower boundary frequency value.
[in]	max	Iterator to upper boundary frequency value.
[in]	integrand	Integrand function.
[out]	integrandBuffer	Return value buffer of the integrand.
[out]	resultBuffer	Value of the integral.

integrateWithObscureRightBoundary() [1/2]

template<class T >

T Integrator::integrateWithObscureRightBoundary	(	const FrequencyIterator	min,
		const float	max,
		const std::function< T(float)> &	integrand
	)

One-dimensional trapezoidal integration in one-dimensional frequency space.

Template Parameters

T	Integrand type.

Parameters

min	Iterator to lower boundary frequency value.
max	Upper boundary frequency value.
integrand	Integrand function.

Returns

T Value of the integral.

integrateWithObscureRightBoundary() [2/2]

template<class T >

void ImplicitIntegrator::integrateWithObscureRightBoundary	(	const FrequencyIterator	min,
		const float	max,
		const std::function< void(float, T &)> &	integrand,
		T &	integrandBuffer,
		T &	resultBuffer
	)

One-dimensional trapezoidal integration in one-dimensional frequency space. First argument of the integrand function is the frequency value, the second argument is the return value of the integrand, passed by reference.

Template Parameters

T	Integrand type.

Parameters

[in]	min	Iterator to lower boundary frequency value.
[in]	max	Upper boundary frequency value.
[in]	integrand	Integrand function.
[out]	integrandBuffer	Return value buffer of the integrand.
[out]	resultBuffer	Value of the integral.