Fast Fourier Transformation class. More...

#include <GFft.hpp>

Inheritance diagram for GFft:

Public Member Functions
	GFft (void)
	Void constructor.

	GFft (const GNdarray &array)
	N-dimensional array constructor.

	GFft (const GFft &fft)
	Copy constructor.

virtual	~GFft (void)
	Destructor.

std::complex< double > &	operator() (const int &ix)
	1-dimensional FFT element access operator

std::complex< double > &	operator() (const int &ix, const int &iy)
	2-dimensional FFT element access operator

const std::complex< double > &	operator() (const int &ix) const
	1-dimensional FFT element access operator (const variant)

const std::complex< double > &	operator() (const int &ix, const int &iy) const
	2-dimensional FFT element access operator (const variant)

GFft &	operator= (const GFft &fft)
	Assignment operator.

GFft &	operator+= (const GFft &fft)
	Unary addition operator.

GFft &	operator-= (const GFft &fft)
	Unary subtraction operator.

GFft &	operator*= (const GFft &fft)
	Unary multiplication operator.

GFft &	operator/= (const GFft &fft)
	Unary division operator.

GFft	operator- (void) const
	Unary minus operator.

void	clear (void)
	Clear Fast Fourier Transform.

GFft *	clone (void) const
	Clone Fast Fourier Transform.

std::string	classname (void) const
	Return class name.

int	dim (void) const
	Return dimension of Fast Fourier Transformation.

int	size (void) const
	Return number of elements in array.

const std::vector< int > &	shape (void) const
	Return shape of array.

const std::vector< int > &	strides (void) const
	Return strides of array.

void	forward (const GNdarray &array)
	Forward Fast Fourier Transform.

GNdarray	backward (void) const
	Backward Fast Fourier Transform.

std::string	print (const GChatter &chatter=NORMAL) const
	Print Fast Fourier Transform information.

Public Member Functions inherited from GBase
virtual	~GBase (void)
	Destructor.

Protected Member Functions
void	init_members (void)
	Initialise class members.

void	copy_members (const GFft &fft)
	Copy class members.

void	free_members (void)
	Delete class members.

void	set_data (const GNdarray &array)
	Set data from n-dimensional array.

bool	has_same_shape (const GFft &fft) const
	Check if FFT has the same shape.

void	require_same_shape (const std::string &method, const GFft &fft) const
	Throw exception if FFT shapes differ.

void	transform (std::complex< double > *data, const int &stride, const int &n, const GFftWavetable &wavetable, const bool &forward=true)
	Perform Fast Fourier Transform.

void	factor2 (const std::complex< double > in, const int &istride, std::complex< double > out, const int &ostride, const GFftWavetable &wavetable, const int &sign, const int &product, const int &n, const int &index)
	Compute FFT for factor 2.

void	factor3 (const std::complex< double > in, const int &istride, std::complex< double > out, const int &ostride, const GFftWavetable &wavetable, const int &sign, const int &product, const int &n, const int &index)
	Compute FFT for factor 3.

void	factor4 (const std::complex< double > in, const int &istride, std::complex< double > out, const int &ostride, const GFftWavetable &wavetable, const int &sign, const int &product, const int &n, const int &index)
	Compute FFT for factor 4.

void	factor5 (const std::complex< double > in, const int &istride, std::complex< double > out, const int &ostride, const GFftWavetable &wavetable, const int &sign, const int &product, const int &n, const int &index)
	Compute FFT for factor 5.

void	factor6 (const std::complex< double > in, const int &istride, std::complex< double > out, const int &ostride, const GFftWavetable &wavetable, const int &sign, const int &product, const int &n, const int &index)
	Compute FFT for factor 6.

void	factor7 (const std::complex< double > in, const int &istride, std::complex< double > out, const int &ostride, const GFftWavetable &wavetable, const int &sign, const int &product, const int &n, const int &index)
	Compute FFT for factor 7.

void	factorn (std::complex< double > in, const int &istride, std::complex< double > out, const int &ostride, const GFftWavetable &wavetable, const int &sign, const int &factor, const int &product, const int &n, const int &index)
	Compute FFT for arbitrary factor.

std::vector< std::complex< double > >	get_w (const GFftWavetable &wavetable, const int &index, const int &k, const int &q, const int &n, const int &sign) const
	Extract coefficients from wavetable.

std::complex< double >	timesi (const std::complex< double > &value) const
	Return complex value times i.

Protected Attributes
int	m_size
	Size of data array.

std::complex< double > *	m_data
	Pointer on array data.

std::vector< int >	m_shape
	Array dimensions.

std::vector< int >	m_strides
	Steps in each dimension.

std::vector< GFftWavetable >	m_wavetable
	Trigonometric coefficients.

Detailed Description

Fast Fourier Transformation class.

This class implements a Fast Fourier Transformation of an n-dimensional double precision floating point array.

The class implementation is based on the Fast Fourier Transformation functions that are provided by the GNU Scientific Library (GSL) (version 2.2.1). The mixed-radix routines for complex numbers have been adopted that work for any array lengths. The mixed-radix routines are a reimplementation of the FFTPACK library of Paul Swarztrauber.

The GSL is documented at https://www.gnu.org/software/gsl/manual

Definition at line 57 of file GFft.hpp.

Constructor & Destructor Documentation

◆ GFft() [1/3]

GFft::GFft ( void )

Void constructor.

Definition at line 55 of file GFft.cpp.

References init_members().

Referenced by clone().

◆ GFft() [2/3]

GFft::GFft ( const GNdarray & array )

explicit

N-dimensional array constructor.

Parameters

[in] array N-dimensional array.

Constructs a Fast Fourier Transformation from a n-dimensional array.

Definition at line 72 of file GFft.cpp.

References forward(), and init_members().

◆ GFft() [3/3]

GFft::GFft ( const GFft & fft )

Copy constructor.

Parameters

[in] fft Fast Fourier Transform.

Definition at line 90 of file GFft.cpp.

References copy_members(), and init_members().

◆ ~GFft()

GFft::~GFft ( void )

virtual

Destructor.

Definition at line 106 of file GFft.cpp.

References free_members().

Member Function Documentation

◆ backward()

GNdarray GFft::backward ( void ) const

Backward Fast Fourier Transform.

Returns: N-dimensional array.

GException::feature_not_implemented Array dimension is not supported.

Performs the inverse (or backward) discret Fast Fourier forward transformation for 1- and 2-dimensional arrays.

For one dimensional arrays of length \(N\) the transformation is given by

\[ z_k = \frac{1}{N} \sum_{n=0}^{N-1} X_n e^{i 2 \pi \frac{k n}{N}} \]

and for two dimensional arrays of length \( M \times N\) the transformation is given by

\[ z_{k,l} = \frac{1}{N} \sum_{n=0}^{N-1} \left( \frac{1}{M} \sum_{m=0}^{M-1} X_{m,n} e^{i 2 \pi \frac{m k}{M}} \right) e^{i 2 \pi \frac{n l}{N}} \]

Definition at line 401 of file GFft.cpp.

References GNdarray::dim(), G_BACKWARD, m_data, m_shape, m_size, m_strides, m_wavetable, norm(), shape(), gammalib::str(), and transform().

Referenced by GSkyMap::convolve().

◆ classname()

std::string GFft::classname ( void ) const

inlinevirtual

Return class name.

Returns: String containing the class name ("GFft").

Implements GBase.

Definition at line 194 of file GFft.hpp.

◆ clear()

void GFft::clear ( void )

virtual

Clear Fast Fourier Transform.

Implements GBase.

Definition at line 276 of file GFft.cpp.

References free_members(), and init_members().

◆ clone()

GFft * GFft::clone ( void ) const

virtual

Clone Fast Fourier Transform.

Returns: Pointer to deep copy of Fast Fourier Transform.

Implements GBase.

Definition at line 294 of file GFft.cpp.

References GFft().

◆ copy_members()

void GFft::copy_members ( const GFft & fft )

protected

Copy class members.

Parameters

[in] fft Fast Fourier Transform.

Definition at line 558 of file GFft.cpp.

References m_data, m_shape, m_size, m_strides, and m_wavetable.

Referenced by GFft(), and operator=().

◆ dim()

int GFft::dim ( void ) const

inline

Return dimension of Fast Fourier Transformation.

Returns: Dimension of Fast Fourier Transformation.

Returns the dimension of the Fast Fourier Transformation.

Definition at line 268 of file GFft.hpp.

References m_shape.

Referenced by print().

◆ factor2()

void GFft::factor2	(	const std::complex< double > *	in,
		const int &	istride,
		std::complex< double > *	out,
		const int &	ostride,
		const GFftWavetable &	wavetable,
		const int &	sign,
		const int &	product,
		const int &	n,
		const int &	index )

protected

Compute FFT for factor 2.

Parameters

[in]	in	Pointer to input array.
[in]	istride	Step size when traversing input array.
[in]	out	Pointer to output array.
[in]	ostride	Step size when traversing output array.
[in]	wavetable	Trigonometric coefficients.
[in]	sign	Forward (-1) or backward (+1).
[in]	product	...
[in]	n	Logical array length.
[in]	index	Start index of trigonometric coefficients.

Definition at line 825 of file GFft.cpp.

References get_w(), and sign().

Referenced by transform().

◆ factor3()

void GFft::factor3	(	const std::complex< double > *	in,
		const int &	istride,
		std::complex< double > *	out,
		const int &	ostride,
		const GFftWavetable &	wavetable,
		const int &	sign,
		const int &	product,
		const int &	n,
		const int &	index )

protected

Compute FFT for factor 3.

Parameters

[in]	in	Pointer to input array.
[in]	istride	Step size when traversing input array.
[in]	out	Pointer to output array.
[in]	ostride	Step size when traversing output array.
[in]	wavetable	Trigonometric coefficients.
[in]	sign	Forward (-1) or backward (+1).
[in]	product	...
[in]	n	Logical array length.
[in]	index	Start index of trigonometric coefficients.

Definition at line 885 of file GFft.cpp.

References get_w(), sign(), and timesi().

Referenced by transform().

◆ factor4()

void GFft::factor4	(	const std::complex< double > *	in,
		const int &	istride,
		std::complex< double > *	out,
		const int &	ostride,
		const GFftWavetable &	wavetable,
		const int &	sign,
		const int &	product,
		const int &	n,
		const int &	index )

protected

Compute FFT for factor 4.

Parameters

[in]	in	Pointer to input array.
[in]	istride	Step size when traversing input array.
[in]	out	Pointer to output array.
[in]	ostride	Step size when traversing output array.
[in]	wavetable	Trigonometric coefficients.
[in]	sign	Forward (-1) or backward (+1).
[in]	product	...
[in]	n	Logical array length.
[in]	index	Start index of trigonometric coefficients.

Definition at line 957 of file GFft.cpp.

References get_w(), sign(), and timesi().

Referenced by transform().

◆ factor5()

void GFft::factor5	(	const std::complex< double > *	in,
		const int &	istride,
		std::complex< double > *	out,
		const int &	ostride,
		const GFftWavetable &	wavetable,
		const int &	sign,
		const int &	product,
		const int &	n,
		const int &	index )

protected

Compute FFT for factor 5.

Parameters

[in]	in	Pointer to input array.
[in]	istride	Step size when traversing input array.
[in]	out	Pointer to output array.
[in]	ostride	Step size when traversing output array.
[in]	wavetable	Trigonometric coefficients.
[in]	sign	Forward (-1) or backward (+1).
[in]	product	...
[in]	n	Logical array length.
[in]	index	Start index of trigonometric coefficients.

Definition at line 1029 of file GFft.cpp.

References get_w(), sign(), timesi(), and gammalib::twopi.

Referenced by transform().

◆ factor6()

void GFft::factor6	(	const std::complex< double > *	in,
		const int &	istride,
		std::complex< double > *	out,
		const int &	ostride,
		const GFftWavetable &	wavetable,
		const int &	sign,
		const int &	product,
		const int &	n,
		const int &	index )

protected

Compute FFT for factor 6.

Parameters

[in]	in	Pointer to input array.
[in]	istride	Step size when traversing input array.
[in]	out	Pointer to output array.
[in]	ostride	Step size when traversing output array.
[in]	wavetable	Trigonometric coefficients.
[in]	sign	Forward (-1) or backward (+1).
[in]	product	...
[in]	n	Logical array length.
[in]	index	Start index of trigonometric coefficients.

Definition at line 1118 of file GFft.cpp.

References get_w(), sign(), and timesi().

Referenced by transform().

◆ factor7()

void GFft::factor7	(	const std::complex< double > *	in,
		const int &	istride,
		std::complex< double > *	out,
		const int &	ostride,
		const GFftWavetable &	wavetable,
		const int &	sign,
		const int &	product,
		const int &	n,
		const int &	index )

protected

Compute FFT for factor 7.

Parameters

[in]	in	Pointer to input array.
[in]	istride	Step size when traversing input array.
[in]	out	Pointer to output array.
[in]	ostride	Step size when traversing output array.
[in]	wavetable	Trigonometric coefficients.
[in]	sign	Forward (-1) or backward (+1).
[in]	product	...
[in]	n	Logical array length.
[in]	index	Start index of trigonometric coefficients.

Definition at line 1214 of file GFft.cpp.

References get_w(), sign(), timesi(), and gammalib::twopi.

Referenced by transform().

◆ factorn()

void GFft::factorn	(	std::complex< double > *	in,
		const int &	istride,
		std::complex< double > *	out,
		const int &	ostride,
		const GFftWavetable &	wavetable,
		const int &	sign,
		const int &	factor,
		const int &	product,
		const int &	n,
		const int &	index )

protected

Compute FFT for arbitrary factor.

Parameters

[in]	in	Pointer to input array.
[in]	istride	Step size when traversing input array.
[in]	out	Pointer to output array.
[in]	ostride	Step size when traversing output array.
[in]	wavetable	Trigonometric coefficients.
[in]	sign	Forward (-1) or backward (+1).
[in]	factor	Factor.
[in]	product	...
[in]	n	Logical array length.
[in]	index	Start index of trigonometric coefficients.

Definition at line 1343 of file GFft.cpp.

References sign().

Referenced by transform().

◆ forward()

void GFft::forward ( const GNdarray & array )

Forward Fast Fourier Transform.

Parameters

[in] array N-dimensional array.

GException::feature_not_implemented Array dimension is not supported.

Performs discret Fast Fourier forward transformation for 1- and 2-dimensional arrays.

For one dimensional arrays of length \(N\) the transformation is given by

\[ X_k = \sum_{n=0}^{N-1} z_n e^{-i 2 \pi \frac{k n}{N}} \]

and for two dimensional arrays of length \( M \times N\) the transformation is given by

\[ X_{k,l} = \sum_{n=0}^{N-1} \left( \sum_{m=0}^{M-1} z_{m,n} e^{-i 2 \pi \frac{m k}{M}} \right) e^{-i 2 \pi \frac{n l}{N}} \]

Definition at line 328 of file GFft.cpp.

References GNdarray::dim(), G_FORWARD, m_data, m_shape, m_size, m_strides, m_wavetable, set_data(), gammalib::str(), and transform().

Referenced by GFft(), and transform().

◆ free_members()

void GFft::free_members ( void )

protected

Delete class members.

Definition at line 582 of file GFft.cpp.

References m_data, and m_size.

Referenced by clear(), operator=(), set_data(), and ~GFft().

◆ get_w()

std::vector< std::complex< double > > GFft::get_w	(	const GFftWavetable &	wavetable,
		const int &	index,
		const int &	k,
		const int &	q,
		const int &	n,
		const int &	sign ) const

protected

Extract coefficients from wavetable.

Parameters

[in]	index	Start index of trigonometric coefficients.
[in]	k	...
[in]	q	...
[in]	n	Number of coefficients.
[in]	sign	Forward (-1) or backward (+1) transformation.
[in]	wavetable	Trigonometric coefficients.

Definition at line 1535 of file GFft.cpp.

References sign().

Referenced by factor2(), factor3(), factor4(), factor5(), factor6(), and factor7().

◆ has_same_shape()

bool GFft::has_same_shape ( const GFft & fft ) const

protected

Check if FFT has the same shape.

Parameters

[in] fft Fast Fourier Transform.

Returns: True if the FFT has the same shape.

Definition at line 646 of file GFft.cpp.

References m_shape.

Referenced by require_same_shape().

◆ init_members()

void GFft::init_members ( void )

protected

Initialise class members.

Definition at line 539 of file GFft.cpp.

References m_data, m_shape, m_size, m_strides, and m_wavetable.

Referenced by clear(), GFft(), GFft(), GFft(), operator=(), and set_data().

◆ operator()() [1/4]

std::complex< double > & GFft::operator() ( const int & ix )

inline

1-dimensional FFT element access operator

Parameters

[in] ix Element index [0,...,shape(0)-1].

Returns: Reference to FFT element.

Definition at line 207 of file GFft.hpp.

References m_data.

◆ operator()() [2/4]

const std::complex< double > & GFft::operator() ( const int & ix ) const

inline

1-dimensional FFT element access operator (const variant)

Parameters

[in] ix Element index [0,...,shape(0)-1].

Returns: Const reference to FFT element.

Definition at line 236 of file GFft.hpp.

References m_data.

◆ operator()() [3/4]

std::complex< double > & GFft::operator()	(	const int &	ix,
		const int &	iy )

inline

2-dimensional FFT element access operator

Parameters

[in]	ix	Index in first dimension [0,...,shape(0)-1].
[in]	iy	Index in second dimension [0,...,shape(1)-1].

Returns: Reference to FFT element.

Definition at line 222 of file GFft.hpp.

References m_data, and m_strides.

◆ operator()() [4/4]

const std::complex< double > & GFft::operator()	(	const int &	ix,
		const int &	iy ) const

inline

2-dimensional FFT element access operator (const variant)

Parameters

[in]	ix	Index in first dimension [0,...,shape(0)-1].
[in]	iy	Index in second dimension [0,...,shape(1)-1].

Returns: Const reference to FFT element.

Definition at line 251 of file GFft.hpp.

References m_data, and m_strides.

◆ operator*=()

GFft & GFft::operator*= ( const GFft & fft )

Unary multiplication operator.

Parameters

[in] fft Fast Fourier transform.

Returns: Fast Fourier transform.

Multiplies a Fast Fourier Transform to another Fast Fourier Transform. The method requires that both FFTs have the same dimension.

Definition at line 206 of file GFft.cpp.

References G_OP_MUL, m_data, m_size, and require_same_shape().

◆ operator+=()

GFft & GFft::operator+= ( const GFft & fft )

Unary addition operator.

Parameters

[in] fft Fast Fourier Transform.

Returns: Fast Fourier Transform.

Adds a Fast Fourier Transform to another Fast Fourier Transform. The method requires that both FFTs have the same dimension.

Definition at line 158 of file GFft.cpp.

References G_OP_ADD, m_data, m_size, and require_same_shape().

◆ operator-()

GFft GFft::operator- ( void ) const

Unary minus operator.

Returns: Fast Fourier transformation.

Negates all elements of the Fast Fourier Transformation.

Definition at line 252 of file GFft.cpp.

References size().

◆ operator-=()

GFft & GFft::operator-= ( const GFft & fft )

Unary subtraction operator.

Parameters

[in] fft Fast Fourier transform.

Returns: Fast Fourier transform.

Subtracts a Fast Fourier Transform from another Fast Fourier Transform. The method requires that both FFTs have the same dimension.

Definition at line 182 of file GFft.cpp.

References G_OP_SUB, m_data, m_size, and require_same_shape().

◆ operator/=()

GFft & GFft::operator/= ( const GFft & fft )

Unary division operator.

Parameters

[in] fft Fast Fourier transform.

Returns: Fast Fourier transform.

Divides a Fast Fourier Transform by another Fast Fourier Transform. The method requires that both FFTs have the same dimension.

Definition at line 230 of file GFft.cpp.

References G_OP_DIV, m_data, m_size, and require_same_shape().

◆ operator=()

GFft & GFft::operator= ( const GFft & fft )

Assignment operator.

Parameters

[in] fft Fast Fourier Transform.

Returns: Fast Fourier Transform.

Definition at line 128 of file GFft.cpp.

References copy_members(), free_members(), and init_members().

◆ print()

std::string GFft::print ( const GChatter & chatter = NORMAL ) const

virtual

Print Fast Fourier Transform information.

Parameters

[in] chatter Chattiness.

Returns: String containing Fast Fourier Transform information.

Implements GBase.

Definition at line 485 of file GFft.cpp.

References dim(), m_shape, m_size, gammalib::parformat(), SILENT, size(), gammalib::str(), and VERBOSE.

◆ require_same_shape()

void GFft::require_same_shape	(	const std::string &	method,
		const GFft &	fft ) const

protected

Throw exception if FFT shapes differ.

Parameters

[in]	method	Method that throws exception.
[in]	fft	Fast Fourier Transform.

Exceptions

GException::invalid_argument FFT shapes differ.

Definition at line 676 of file GFft.cpp.

References has_same_shape(), m_shape, and gammalib::str().

Referenced by operator*=(), operator+=(), operator-=(), and operator/=().

◆ set_data()

void GFft::set_data ( const GNdarray & array )

protected

Set data from n-dimensional array.

Parameters

[in] array N-dimensional array

Definition at line 603 of file GFft.cpp.

References free_members(), init_members(), m_data, m_shape, m_size, m_strides, m_wavetable, GNdarray::shape(), GNdarray::size(), and GNdarray::strides().

Referenced by forward().

◆ shape()

const std::vector< int > & GFft::shape ( void ) const

inline

Return shape of array.

Returns: Shape of array

Returns the shape of the array.

Definition at line 296 of file GFft.hpp.

References m_shape.

Referenced by backward().

◆ size()

int GFft::size ( void ) const

inline

Return number of elements in array.

Returns: Number of elements in array

Returns the number of elements in the array.

Definition at line 282 of file GFft.hpp.

References m_size.

Referenced by operator-(), and print().

◆ strides()

const std::vector< int > & GFft::strides ( void ) const

inline

Return strides of array.

Returns: Strides of array

Returns the strides of the array.

Definition at line 310 of file GFft.hpp.

References m_strides.

◆ timesi()

std::complex< double > GFft::timesi ( const std::complex< double > & value ) const

inlineprotected

Return complex value times i.

Parameters

[in] value Complex value.

Returns: Complex value times i.

Returns complex value times i.

Definition at line 397 of file GFft.hpp.

Referenced by factor3(), factor4(), factor5(), factor6(), and factor7().

◆ transform()

void GFft::transform	(	std::complex< double > *	data,
		const int &	stride,
		const int &	n,
		const GFftWavetable &	wavetable,
		const bool &	forward = true )

protected

Perform Fast Fourier Transform.

Parameters

[in]	data	Pointer to complex array to be transformed.
[in]	stride	Step size when traversing complex array.
[in]	n	Number of elements in complex array.
[in]	wavetable	Trigonometric coefficients.
[in]	forward	Forward transform if true, otherwise backward transform.

Definition at line 718 of file GFft.cpp.

References GFftWavetable::factor(), factor2(), factor3(), factor4(), factor5(), factor6(), factor7(), factorn(), GFftWavetable::factors(), forward(), GFftWavetable::index(), and sign().

Referenced by backward(), and forward().

Member Data Documentation

◆ m_data

std::complex<double>* GFft::m_data

protected

Pointer on array data.

Definition at line 181 of file GFft.hpp.

Referenced by backward(), copy_members(), forward(), free_members(), init_members(), operator()(), operator()(), operator()(), operator()(), operator*=(), operator+=(), operator-=(), operator/=(), and set_data().

◆ m_shape

std::vector<int> GFft::m_shape

protected

Array dimensions.

Definition at line 182 of file GFft.hpp.

Referenced by backward(), copy_members(), dim(), forward(), has_same_shape(), init_members(), print(), require_same_shape(), set_data(), and shape().

◆ m_size

int GFft::m_size

protected

Size of data array.

Definition at line 180 of file GFft.hpp.

Referenced by backward(), copy_members(), forward(), free_members(), init_members(), operator*=(), operator+=(), operator-=(), operator/=(), print(), set_data(), and size().

◆ m_strides

std::vector<int> GFft::m_strides

protected

Steps in each dimension.

Definition at line 183 of file GFft.hpp.

Referenced by backward(), copy_members(), forward(), init_members(), operator()(), operator()(), set_data(), and strides().

◆ m_wavetable

std::vector<GFftWavetable> GFft::m_wavetable

protected

Trigonometric coefficients.

Definition at line 184 of file GFft.hpp.

Referenced by backward(), copy_members(), forward(), init_members(), and set_data().

The documentation for this class was generated from the following files:

include/GFft.hpp
src/numerics/GFft.cpp

Public Member Functions

Protected Member Functions

Protected Attributes

Detailed Description

Constructor & Destructor Documentation

◆ GFft() [1/3]

◆ GFft() [2/3]

◆ GFft() [3/3]

◆ ~GFft()

Member Function Documentation

◆ backward()

◆ classname()

◆ clear()

◆ clone()

◆ copy_members()

◆ dim()

◆ factor2()

◆ factor3()

◆ factor4()

◆ factor5()

◆ factor6()

◆ factor7()

◆ factorn()

◆ forward()

◆ free_members()

◆ get_w()

◆ has_same_shape()

◆ init_members()

◆ operator()() [1/4]

◆ operator()() [2/4]

◆ operator()() [3/4]

◆ operator()() [4/4]

◆ operator*=()

◆ operator+=()

◆ operator-()

◆ operator-=()

◆ operator/=()

◆ operator=()

◆ print()

◆ require_same_shape()

◆ set_data()

◆ shape()

◆ size()

◆ strides()

◆ timesi()

◆ transform()

Member Data Documentation

◆ m_data

◆ m_shape

◆ m_size

◆ m_strides

◆ m_wavetable