FFT.cpp File Reference

#include "Basic/VectorNumT.hpp"
#include "Basic/FFT.hpp"
#include "Arrays/Array.hpp"
#include "Core/fftn.hpp"
#include <math.h>

Functions
int	FFTn (int ndim, const VectorInt &dims, VectorDouble &Re, VectorDouble &Im, int iSign, double scaling)
Array	evalCovFFTTimeSlice (const VectorDouble &hmax, double time, int N, const std::function< std::complex< double >(VectorDouble, double)> &funcSpectrum)
Array	evalCovFFTSpatial (const VectorDouble &hmax, int N, const std::function< double(const VectorDouble &)> &funcSpectrum)
static VectorInt	_computeStrides (int ndim, const VectorInt &dims)
static VectorInt	_computeHalf (int ndim, const VectorInt &dims)
static int	_getIndex (int ndim, const VectorInt &strides, const VectorInt &indices)
void	fftshift (const VectorInt &dims, VectorDouble &data)

Function Documentation

_computeHalf()

static VectorInt _computeHalf ( int  ndim, const VectorInt &  dims  )

static

_computeStrides()

static VectorInt _computeStrides ( int  ndim, const VectorInt &  dims  )

static

_getIndex()

static int _getIndex ( int  ndim, const VectorInt &  strides, const VectorInt &  indices  )

static

evalCovFFTSpatial()

Array evalCovFFTSpatial	(	const VectorDouble &	hmax,
		int	N,
		const std::function< double(const VectorDouble &)> &	funcSpectrum
	)

evalCovFFTTimeSlice()

Array evalCovFFTTimeSlice	(	const VectorDouble &	hmax,
		double	time,
		int	N,
		const std::function< std::complex< double >(VectorDouble, double)> &	funcSpectrum
	)

perform the FFT transform for a First-Order Space Time evolution equation

Parameters

hmax	Maximum spatial distances (Dimension: spatial ndim)
time	Time of the covariance slice
N	Discretization number (in each spatial dimension)
funcSpectrum	External adequate spectrum evaluation function

Returns

Array of spatio-temporal covariance

FFTn()

int FFTn	(	int	ndim,
		const VectorInt &	dims,
		VectorDouble &	Re,
		VectorDouble &	Im,
		int	iSign,
		double	scaling
	)

Calculate the FFT in a space of dimension N

Returns

Error return code

fftshift()

void fftshift	(	const VectorInt &	dims,
		VectorDouble &	data
	)