Functions for Fourier transforming Lattices. More...

#include <LatticeFFT.h>

Static Public Member Functions
static void	cfft2d (Lattice< DComplex > &cLattice, const Bool toFrequency=True)
	2-D in-place complex->complex FFT.
static void	cfft2d (Lattice< Complex > &cLattice, const Bool toFrequency=True)
static void	cfft (Lattice< DComplex > &cLattice, const Vector< Bool > &whichAxes, const Bool toFrequency=True)
	N-D in-place complex->complex FFT.
static void	cfft (Lattice< Complex > &cLattice, const Vector< Bool > &whichAxes, const Bool toFrequency=True)
static void	cfft (Lattice< DComplex > &cLattice, const Bool toFrequency=True)
	N-D in-place complex->complex FFT.
static void	cfft (Lattice< Complex > &cLattice, const Bool toFrequency=True)
static void	rcfft (Lattice< Complex > &out, const Lattice< Float > &in, const Vector< Bool > &whichAxes, const Bool doShift=True, Bool doFast=False)
	N-D real->complex FFT.
static void	myrcfft (Lattice< Complex > &out, const Lattice< Float > &in, const Vector< Bool > &whichAxes, const Bool doShift=True)
static void	rcfft (Lattice< Complex > &out, const Lattice< Float > &in, const Bool doShift=True, Bool doFast=False)
	N-D real->complex FFT.
static void	myrcfft (Lattice< Complex > &out, const Lattice< Float > &in, const Bool doShift=True)
static void	crfft (Lattice< Float > &out, Lattice< Complex > &in, const Vector< Bool > &whichAxes, const Bool doShift=True, Bool doFast=False)
	N-D complex->real FFT.
static void	crfft (Lattice< Float > &out, Lattice< Complex > &in, const Bool doShift=True, Bool doFast=False)
static void	crfft (Lattice< Float > &out, const Lattice< Complex > &in, const Bool doShift=True, Bool doFast=False)

Detailed Description

Functions for Fourier transforming Lattices.

Etymology

Synopsis

Example

Motivation

Definition at line 65 of file LatticeFFT.h.

Member Function Documentation

static void casa::LatticeFFT::cfft	(	Lattice< DComplex > &	cLattice,
		const Vector< Bool > &	whichAxes,
		const Bool	toFrequency = `True`
	)		`[static]`

N-D in-place complex->complex FFT.

Only transform over selected dimensions. Iterate over the others. whichAxes must be the same length as the number of dimensions in the Lattice otherwise an AipsError is thrown.

static void casa::LatticeFFT::cfft	(	Lattice< Complex > &	cLattice,
		const Vector< Bool > &	whichAxes,
		const Bool	toFrequency = `True`
	)		`[static]`

static void casa::LatticeFFT::cfft	(	Lattice< DComplex > &	cLattice,
		const Bool	toFrequency = `True`
	)		`[static]`

N-D in-place complex->complex FFT.

Transform over all axes.

static void casa::LatticeFFT::cfft	(	Lattice< Complex > &	cLattice,
		const Bool	toFrequency = `True`
	)		`[static]`

static void casa::LatticeFFT::cfft2d	(	Lattice< DComplex > &	cLattice,
		const Bool	toFrequency = `True`
	)		`[static]`

2-D in-place complex->complex FFT.

Transforms over the first two dimensions and iterates over all the others. The Lattice must have two or more dimensions otherwise an AipsError is thrown.

static void casa::LatticeFFT::cfft2d	(	Lattice< Complex > &	cLattice,
		const Bool	toFrequency = `True`
	)		`[static]`

static void casa::LatticeFFT::crfft	(	Lattice< Float > &	out,
		Lattice< Complex > &	in,
		const Vector< Bool > &	whichAxes,
		const Bool	doShift = `True`,
		Bool	doFast = `False`
	)		`[static]`

N-D complex->real FFT.

Only one half of the Hermition input is required. If whichAxis is specified Transforms are only done on selected dimensions otherwise they are done on all axes. The origin of the transform is the center of the Lattice ie., [nx/2,ny/2,...] if doShift is True, otherwise it is the first element ie., [0,0,...]

These functions will scramble the input Lattice unless the versions with const inputs are used. The const input versions are less efficient as they create a temporary Lattice and copy the input data into it.

static void casa::LatticeFFT::crfft	(	Lattice< Float > &	out,
		Lattice< Complex > &	in,
		const Bool	doShift = `True`,
		Bool	doFast = `False`
	)		`[static]`

static void casa::LatticeFFT::crfft	(	Lattice< Float > &	out,
		const Lattice< Complex > &	in,
		const Bool	doShift = `True`,
		Bool	doFast = `False`
	)		`[static]`

static void casa::LatticeFFT::myrcfft	(	Lattice< Complex > &	out,
		const Lattice< Float > &	in,
		const Vector< Bool > &	whichAxes,
		const Bool	doShift = `True`
	)		`[static]`

static void casa::LatticeFFT::myrcfft	(	Lattice< Complex > &	out,
		const Lattice< Float > &	in,
		const Bool	doShift = `True`
	)		`[static]`

static void casa::LatticeFFT::rcfft	(	Lattice< Complex > &	out,
		const Lattice< Float > &	in,
		const Vector< Bool > &	whichAxes,
		const Bool	doShift = `True`,
		Bool	doFast = `False`
	)		`[static]`

N-D real->complex FFT.

Only one half of the Hermition result is returned. Transforms are only done on selected dimensions. The origin of the transform is the center of the Lattice ie., [nx/2,ny/2,...] if doShift is True. Otherwise it is the first element ie., [0,0,...]

static void casa::LatticeFFT::rcfft	(	Lattice< Complex > &	out,
		const Lattice< Float > &	in,
		const Bool	doShift = `True`,
		Bool	doFast = `False`
	)		`[static]`