Complex fast Fourier transforms. More...

Namespaces
namespace	radix2
	Radix 2 transforms.

Classes
class	wavetable
	C++ version of gsl_fft_complex_wavetable functions. More...

class	workspace
	Workspace for complex fast fourier transforms. More...

Functions
int	forward (gsl::complex_packed_array data, size_t const stride, size_t const n, wavetable const &wavetable, workspace &work)
	C++ version of gsl_fft_complex_forward(). More...

int	backward (gsl::complex_packed_array data, size_t const stride, size_t const n, wavetable const &wavetable, workspace &work)
	C++ version of gsl_fft_complex_backward(). More...

int	inverse (gsl::complex_packed_array data, size_t const stride, size_t const n, wavetable const &wavetable, workspace &work)
	C++ version of gsl_fft_complex_inverse(). More...

int	transform (gsl::complex_packed_array data, size_t const stride, size_t const n, wavetable const &wavetable, workspace &work, fft::direction const sign)
	C++ version of gsl_fft_complex_transform(). More...

int	forward (gsl::complex_packed_array data, size_t const n, wavetable const &wavetable, workspace &work)
	C++ version of gsl_fft_complex_forward(). More...

int	backward (gsl::complex_packed_array data, size_t const n, wavetable const &wavetable, workspace &work)
	C++ version of gsl_fft_complex_backward(). More...

int	inverse (gsl::complex_packed_array data, size_t const n, wavetable const &wavetable, workspace &work)
	C++ version of gsl_fft_complex_inverse(). More...

int	transform (gsl::complex_packed_array data, size_t const n, wavetable const &wavetable, workspace &work, fft::direction const sign)
	C++ version of gsl_fft_complex_transform(). More...

template<typename DATA >
int	forward (DATA &data, size_t const stride, wavetable const &wavetable, workspace &work)
	C++ version of gsl_fft_complex_forward(). More...

template<typename DATA >
int	backward (DATA &data, size_t const stride, wavetable const &wavetable, workspace &work)
	C++ version of gsl_fft_complex_backward(). More...

template<typename DATA >
int	inverse (DATA &data, size_t const stride, wavetable const &wavetable, workspace &work)
	C++ version of gsl_fft_complex_inverse(). More...

template<typename DATA >
int	transform (DATA &data, size_t const stride, wavetable const &wavetable, workspace &work, fft::direction const sign)
	C++ version of gsl_fft_complex_transform(). More...

template<>
int	forward (gsl::vector_complex &data, size_t const stride, wavetable const &wavetable, workspace &work)
	C++ version of gsl_fft_complex_forward(). More...

template<>
int	backward (gsl::vector_complex &data, size_t const stride, wavetable const &wavetable, workspace &work)
	C++ version of gsl_fft_complex_backward(). More...

template<>
int	inverse (gsl::vector_complex &data, size_t const stride, wavetable const &wavetable, workspace &work)
	C++ version of gsl_fft_complex_inverse(). More...

template<>
int	transform (gsl::vector_complex &data, size_t const stride, wavetable const &wavetable, workspace &work, fft::direction const sign)
	C++ version of gsl_fft_complex_transform(). More...

template<typename DATA >
int	forward (DATA &data, wavetable const &wavetable, workspace &work)
	C++ version of gsl_fft_complex_forward(). More...

template<typename DATA >
int	backward (DATA &data, wavetable const &wavetable, workspace &work)
	C++ version of gsl_fft_complex_backward(). More...

template<typename DATA >
int	inverse (DATA &data, wavetable const &wavetable, workspace &work)
	C++ version of gsl_fft_complex_inverse(). More...

template<typename DATA >
int	transform (DATA &data, wavetable const &wavetable, workspace &work, fft::direction const sign)
	C++ version of gsl_fft_complex_transform(). More...

template<>
int	forward (gsl::vector_complex &data, wavetable const &wavetable, workspace &work)
	C++ version of gsl_fft_complex_forward(). More...

template<>
int	backward (gsl::vector_complex &data, wavetable const &wavetable, workspace &work)
	C++ version of gsl_fft_complex_backward(). More...

template<>
int	inverse (gsl::vector_complex &data, wavetable const &wavetable, workspace &work)
	C++ version of gsl_fft_complex_inverse(). More...

template<>
int	transform (gsl::vector_complex &data, wavetable const &wavetable, workspace &work, fft::direction const sign)
	C++ version of gsl_fft_complex_transform(). More...

Detailed Description

Complex fast Fourier transforms.

Function Documentation

◆ backward() [1/6]

template<typename DATA >

int gsl::fft::complex::backward	(	DATA &	data,
		size_t const	stride,
		wavetable const &	wavetable,
		workspace &	work
	)

inline

C++ version of gsl_fft_complex_backward().

Works with std::array<double>, std::vector<double> and gsl::vector.

Parameters

data	An array of complex values packed as an array of double length of doubles.
stride	The stride of the array.
wavetable	A wavetable of size n.
work	A workspace of size n.

Returns: Error code on failure.

Definition at line 971 of file fft_complex.hpp.

References gsl::fft::complex::wavetable::get(), and gsl::fft::complex::workspace::get().

◆ backward() [2/6]

template<typename DATA >

int gsl::fft::complex::backward	(	DATA &	data,
		wavetable const &	wavetable,
		workspace &	work
	)

inline

C++ version of gsl_fft_complex_backward().

Works with std::array<double>, std::vector<double> and gsl::vector.

Parameters

data	An array of complex values packed as an array of double length of doubles.
wavetable	A wavetable of size n.
work	A workspace of size n.

Returns: Error code on failure.

Definition at line 1085 of file fft_complex.hpp.

References gsl::fft::complex::wavetable::get(), and gsl::fft::complex::workspace::get().

◆ backward() [3/6]

int gsl::fft::complex::backward	(	gsl::complex_packed_array	data,
		size_t const	n,
		wavetable const &	wavetable,
		workspace &	work
	)

inline

C++ version of gsl_fft_complex_backward().

Parameters

data	An array of complex values packed as an array of double length of doubles.
n	The size of the array.
wavetable	A wavetable of size n.
work	A workspace of size n.

Returns: Error code on failure.

Definition at line 916 of file fft_complex.hpp.

References gsl::fft::complex::wavetable::get(), gsl::fft::complex::workspace::get(), and gsl::rstat::n().

◆ backward() [4/6]

int gsl::fft::complex::backward	(	gsl::complex_packed_array	data,
		size_t const	stride,
		size_t const	n,
		wavetable const &	wavetable,
		workspace &	work
	)

inline

C++ version of gsl_fft_complex_backward().

Parameters

data	An array of complex values packed as an array of double length of doubles.
stride	The stride of the array.
n	The size of the array.
wavetable	A wavetable of size n.
work	A workspace of size n.

Returns: Error code on failure.

Definition at line 863 of file fft_complex.hpp.

References gsl::fft::complex::wavetable::get(), gsl::fft::complex::workspace::get(), and gsl::rstat::n().

◆ backward() [5/6]

template<>

int gsl::fft::complex::backward	(	gsl::vector_complex &	data,
		size_t const	stride,
		wavetable const &	wavetable,
		workspace &	work
	)

inline

C++ version of gsl_fft_complex_backward().

Parameters

data	An array of complex values packed as an array of double length of doubles.
stride	The stride of the array.
wavetable	A wavetable of size n.
work	A workspace of size n.

Returns: Error code on failure.

Definition at line 1027 of file fft_complex.hpp.

References gsl::vector_complex::data(), gsl::fft::complex::wavetable::get(), gsl::fft::complex::workspace::get(), and gsl::vector_complex::size().

◆ backward() [6/6]

template<>

int gsl::fft::complex::backward	(	gsl::vector_complex &	data,
		wavetable const &	wavetable,
		workspace &	work
	)

inline

C++ version of gsl_fft_complex_backward().

Parameters

data	An array of complex values packed as an array of double length of doubles.
wavetable	A wavetable of size n.
work	A workspace of size n.

Returns: Error code on failure.

Definition at line 1137 of file fft_complex.hpp.

References gsl::vector_complex::data(), gsl::fft::complex::wavetable::get(), gsl::fft::complex::workspace::get(), and gsl::vector_complex::size().

◆ forward() [1/6]

template<typename DATA >

int gsl::fft::complex::forward	(	DATA &	data,
		size_t const	stride,
		wavetable const &	wavetable,
		workspace &	work
	)

inline

C++ version of gsl_fft_complex_forward().

Works with std::array<double>, std::vector<double> and gsl::vector.

Parameters

data	An array of complex values packed as an array of double length of doubles.
stride	The stride of the array.
wavetable	A wavetable of size n.
work	A workspace of size n.

Returns: Error code on failure.

Definition at line 957 of file fft_complex.hpp.

References gsl::fft::complex::wavetable::get(), and gsl::fft::complex::workspace::get().

◆ forward() [2/6]

template<typename DATA >

int gsl::fft::complex::forward	(	DATA &	data,
		wavetable const &	wavetable,
		workspace &	work
	)

inline

C++ version of gsl_fft_complex_forward().

Works with std::array<double>, std::vector<double> and gsl::vector.

Parameters

data	An array of complex values packed as an array of double length of doubles.
wavetable	A wavetable of size n.
work	A workspace of size n.

Returns: Error code on failure.

Definition at line 1072 of file fft_complex.hpp.

References gsl::fft::complex::wavetable::get(), and gsl::fft::complex::workspace::get().

◆ forward() [3/6]

int gsl::fft::complex::forward	(	gsl::complex_packed_array	data,
		size_t const	n,
		wavetable const &	wavetable,
		workspace &	work
	)

inline

C++ version of gsl_fft_complex_forward().

Parameters

data	An array of complex values packed as an array of double length of doubles.
n	The size of the array.
wavetable	A wavetable of size n.
work	A workspace of size n.

Returns: Error code on failure.

Definition at line 904 of file fft_complex.hpp.

References gsl::fft::complex::wavetable::get(), gsl::fft::complex::workspace::get(), and gsl::rstat::n().

◆ forward() [4/6]

int gsl::fft::complex::forward	(	gsl::complex_packed_array	data,
		size_t const	stride,
		size_t const	n,
		wavetable const &	wavetable,
		workspace &	work
	)

inline

C++ version of gsl_fft_complex_forward().

Parameters

data	An array of complex values packed as an array of double length of doubles.
stride	The stride of the array.
n	The size of the array.
wavetable	A wavetable of size n.
work	A workspace of size n.

Returns: Error code on failure.

Definition at line 850 of file fft_complex.hpp.

References gsl::fft::complex::wavetable::get(), gsl::fft::complex::workspace::get(), and gsl::rstat::n().

◆ forward() [5/6]

template<>

int gsl::fft::complex::forward	(	gsl::vector_complex &	data,
		size_t const	stride,
		wavetable const &	wavetable,
		workspace &	work
	)

inline

C++ version of gsl_fft_complex_forward().

Parameters

data	An array of complex values packed as an array of double length of doubles.
stride	The stride of the array.
wavetable	A wavetable of size n.
work	A workspace of size n.

Returns: Error code on failure.

Definition at line 1013 of file fft_complex.hpp.

References gsl::vector_complex::data(), gsl::fft::complex::wavetable::get(), gsl::fft::complex::workspace::get(), and gsl::vector_complex::size().

◆ forward() [6/6]

template<>

int gsl::fft::complex::forward	(	gsl::vector_complex &	data,
		wavetable const &	wavetable,
		workspace &	work
	)

inline

C++ version of gsl_fft_complex_forward().

Parameters

data	An array of complex values packed as an array of double length of doubles.
wavetable	A wavetable of size n.
work	A workspace of size n.

Returns: Error code on failure.

Definition at line 1124 of file fft_complex.hpp.

References gsl::vector_complex::data(), gsl::fft::complex::wavetable::get(), gsl::fft::complex::workspace::get(), and gsl::vector_complex::size().

◆ inverse() [1/6]

template<typename DATA >

int gsl::fft::complex::inverse	(	DATA &	data,
		size_t const	stride,
		wavetable const &	wavetable,
		workspace &	work
	)

inline

C++ version of gsl_fft_complex_inverse().

Works with std::array<double>, std::vector<double> and gsl::vector.

Parameters

data	An array of complex values packed as an array of double length of doubles.
stride	The stride of the array.
wavetable	A wavetable of size n.
work	A workspace of size n.

Returns: Error code on failure.

Definition at line 985 of file fft_complex.hpp.

References gsl::fft::complex::wavetable::get(), and gsl::fft::complex::workspace::get().

◆ inverse() [2/6]

template<typename DATA >

int gsl::fft::complex::inverse	(	DATA &	data,
		wavetable const &	wavetable,
		workspace &	work
	)

inline

C++ version of gsl_fft_complex_inverse().

Works with std::array<double>, std::vector<double> and gsl::vector.

Parameters

data	An array of complex values packed as an array of double length of doubles.
wavetable	A wavetable of size n.
work	A workspace of size n.

Returns: Error code on failure.

Definition at line 1098 of file fft_complex.hpp.

References gsl::fft::complex::wavetable::get(), and gsl::fft::complex::workspace::get().

◆ inverse() [3/6]

int gsl::fft::complex::inverse	(	gsl::complex_packed_array	data,
		size_t const	n,
		wavetable const &	wavetable,
		workspace &	work
	)

inline

C++ version of gsl_fft_complex_inverse().

Parameters

data	An array of complex values packed as an array of double length of doubles.
n	The size of the array.
wavetable	A wavetable of size n.
work	A workspace of size n.

Returns: Error code on failure.

Definition at line 928 of file fft_complex.hpp.

References gsl::fft::complex::wavetable::get(), gsl::fft::complex::workspace::get(), and gsl::rstat::n().

◆ inverse() [4/6]

int gsl::fft::complex::inverse	(	gsl::complex_packed_array	data,
		size_t const	stride,
		size_t const	n,
		wavetable const &	wavetable,
		workspace &	work
	)

inline

C++ version of gsl_fft_complex_inverse().

Parameters

data	An array of complex values packed as an array of double length of doubles.
stride	The stride of the array.
n	The size of the array.
wavetable	A wavetable of size n.
work	A workspace of size n.

Returns: Error code on failure.

Definition at line 876 of file fft_complex.hpp.

References gsl::fft::complex::wavetable::get(), gsl::fft::complex::workspace::get(), and gsl::rstat::n().

◆ inverse() [5/6]

template<>

int gsl::fft::complex::inverse	(	gsl::vector_complex &	data,
		size_t const	stride,
		wavetable const &	wavetable,
		workspace &	work
	)

inline

C++ version of gsl_fft_complex_inverse().

Parameters

data	An array of complex values packed as an array of double length of doubles.
stride	The stride of the array.
wavetable	A wavetable of size n.
work	A workspace of size n.

Returns: Error code on failure.

Definition at line 1041 of file fft_complex.hpp.

References gsl::vector_complex::data(), gsl::fft::complex::wavetable::get(), gsl::fft::complex::workspace::get(), and gsl::vector_complex::size().

◆ inverse() [6/6]

template<>

int gsl::fft::complex::inverse	(	gsl::vector_complex &	data,
		wavetable const &	wavetable,
		workspace &	work
	)

inline

C++ version of gsl_fft_complex_inverse().

Parameters

data	An array of complex values packed as an array of double length of doubles.
wavetable	A wavetable of size n.
work	A workspace of size n.

Returns: Error code on failure.

Definition at line 1150 of file fft_complex.hpp.

References gsl::vector_complex::data(), gsl::fft::complex::wavetable::get(), gsl::fft::complex::workspace::get(), and gsl::vector_complex::size().

◆ transform() [1/6]

template<typename DATA >

int gsl::fft::complex::transform	(	DATA &	data,
		size_t const	stride,
		wavetable const &	wavetable,
		workspace &	work,
		fft::direction const	sign
	)

inline

C++ version of gsl_fft_complex_transform().

Works with std::array<double>, std::vector<double> and gsl::vector.

Parameters

data	An array of complex values packed as an array of double length of doubles.
stride	The stride of the array.
wavetable	A wavetable of size n.
work	A workspace of size n.
sign	fft::forward or fft::backward.

Returns: Error code on failure.

Definition at line 1000 of file fft_complex.hpp.

References gsl::fft::complex::wavetable::get(), gsl::fft::complex::workspace::get(), and gsl::sign().

◆ transform() [2/6]

template<typename DATA >

int gsl::fft::complex::transform	(	DATA &	data,
		wavetable const &	wavetable,
		workspace &	work,
		fft::direction const	sign
	)

inline

C++ version of gsl_fft_complex_transform().

Works with std::array<double>, std::vector<double> and gsl::vector.

Parameters

data	An array of complex values packed as an array of double length of doubles.
wavetable	A wavetable of size n.
work	A workspace of size n.
sign	fft::forward or fft::backward.

Returns: Error code on failure.

Definition at line 1112 of file fft_complex.hpp.

References gsl::fft::complex::wavetable::get(), gsl::fft::complex::workspace::get(), and gsl::sign().

◆ transform() [3/6]

int gsl::fft::complex::transform	(	gsl::complex_packed_array	data,
		size_t const	n,
		wavetable const &	wavetable,
		workspace &	work,
		fft::direction const	sign
	)

inline

C++ version of gsl_fft_complex_transform().

Parameters

data	An array of complex values packed as an array of double length of doubles.
n	The size of the array.
wavetable	A wavetable of size n.
work	A workspace of size n.
sign	fft::forward or fft::backward.

Returns: Error code on failure.

Definition at line 941 of file fft_complex.hpp.

References gsl::fft::complex::wavetable::get(), gsl::fft::complex::workspace::get(), gsl::rstat::n(), and gsl::sign().

◆ transform() [4/6]

int gsl::fft::complex::transform	(	gsl::complex_packed_array	data,
		size_t const	stride,
		size_t const	n,
		wavetable const &	wavetable,
		workspace &	work,
		fft::direction const	sign
	)

inline

C++ version of gsl_fft_complex_transform().

Parameters

data	An array of complex values packed as an array of double length of doubles.
stride	The stride of the array.
n	The size of the array.
wavetable	A wavetable of size n.
work	A workspace of size n.
sign	fft::forward or fft::backward.

Returns: Error code on failure.

Definition at line 890 of file fft_complex.hpp.

References gsl::fft::complex::wavetable::get(), gsl::fft::complex::workspace::get(), gsl::rstat::n(), and gsl::sign().

◆ transform() [5/6]

template<>

int gsl::fft::complex::transform	(	gsl::vector_complex &	data,
		size_t const	stride,
		wavetable const &	wavetable,
		workspace &	work,
		fft::direction const	sign
	)

inline

C++ version of gsl_fft_complex_transform().

Parameters

data	An array of complex values packed as an array of double length of doubles.
stride	The stride of the array.
wavetable	A wavetable of size n.
work	A workspace of size n.
sign	fft::forward or fft::backward.

Returns: Error code on failure.

Definition at line 1056 of file fft_complex.hpp.

References gsl::vector_complex::data(), gsl::fft::complex::wavetable::get(), gsl::fft::complex::workspace::get(), gsl::sign(), and gsl::vector_complex::size().

◆ transform() [6/6]

template<>

int gsl::fft::complex::transform	(	gsl::vector_complex &	data,
		wavetable const &	wavetable,
		workspace &	work,
		fft::direction const	sign
	)

inline

C++ version of gsl_fft_complex_transform().

Parameters

data	An array of complex values packed as an array of double length of doubles.
wavetable	A wavetable of size n.
work	A workspace of size n.
sign	fft::forward or fft::backward.

Returns: Error code on failure.

Definition at line 1164 of file fft_complex.hpp.

References gsl::vector_complex::data(), gsl::fft::complex::wavetable::get(), gsl::fft::complex::workspace::get(), gsl::sign(), and gsl::vector_complex::size().

Namespaces

Classes

Functions

Detailed Description

Function Documentation

◆ backward() [1/6]

◆ backward() [2/6]

◆ backward() [3/6]

◆ backward() [4/6]

◆ backward() [5/6]

◆ backward() [6/6]

◆ forward() [1/6]

◆ forward() [2/6]

◆ forward() [3/6]

◆ forward() [4/6]

◆ forward() [5/6]

◆ forward() [6/6]

◆ inverse() [1/6]

◆ inverse() [2/6]

◆ inverse() [3/6]

◆ inverse() [4/6]

◆ inverse() [5/6]

◆ inverse() [6/6]

◆ transform() [1/6]

◆ transform() [2/6]

◆ transform() [3/6]

◆ transform() [4/6]

◆ transform() [5/6]

◆ transform() [6/6]