NAFPack_fft – NAFPack

Module for Fourier Transform $F(\omega) = \int_{-\infty}^{\infty} f(t) e^{-i \omega t} dt$ This module provides an interface for performing Fourier Transforms (FFT or DFT, IFFT) on 1D, 2D, and 3D signals. It supports both forward and inverse transforms. It allows users to choose between different methods for the Fourier Transform, such as NAFPack and FFTW.

Uses

- NAFPack_constant
- FFTW3
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Functions

public function FFT_1D(signal, method, threads) result(result)

Perform a 1D Fourier Transform on a signal

Arguments

Type	Intent	Optional	Attributes		Name
complex(kind=dp),	intent(inout),		DIMENSION(:)	::	signal
character(len=*),	intent(in)			::	method
integer,	intent(in),	optional		::	threads

Return Value complex(kind=dp), DIMENSION(SIZE(signal))

public function IFFT_1D(signal, method, threads) result(result)

Perform a 1D inverse Fast Fourier Transform on a signal

Arguments

Type	Intent	Optional	Attributes		Name
complex(kind=dp),	intent(inout),		DIMENSION(:)	::	signal
character(len=*),	intent(in)			::	method
integer,	intent(in),	optional		::	threads

Return Value complex(kind=dp), DIMENSION(SIZE(signal))

public function FFT_2D(signal, method, threads) result(result)

Perform a 2D Fast Fourier Transform on a signal

Arguments

Type	Intent	Optional	Attributes		Name
complex(kind=dp),	intent(inout),		DIMENSION(:, :)	::	signal
character(len=*),	intent(in)			::	method
integer,	intent(in),	optional		::	threads

Return Value complex(kind=dp), DIMENSION(SIZE(signal, 1) ,SIZE(signal, 2))

public function IFFT_2D(signal, method, threads) result(result)

Perform a 2D inverse Fast Fourier Transform on a signal

Arguments

Type	Intent	Optional	Attributes		Name
complex(kind=dp),	intent(inout),		DIMENSION(:, :)	::	signal
character(len=*),	intent(in)			::	method
integer,	intent(in),	optional		::	threads

Return Value complex(kind=dp), DIMENSION(SIZE(signal, 1), SIZE(signal, 2))

public function FFT_3D(signal, method, threads) result(result)

Perform a 3D Fast Fourier Transform on a signal

Arguments

Type	Intent	Optional	Attributes		Name
complex(kind=dp),	intent(inout),		DIMENSION(:, :, :)	::	signal
character(len=*),	intent(in)			::	method
integer,	intent(in),	optional		::	threads

Return Value complex(kind=dp), DIMENSION(SIZE(signal, 1) ,SIZE(signal, 2), SIZE(signal, 3))

public function IFFT_3D(signal, method, threads) result(result)

Perform a 3D inverse Fast Fourier Transform on a signal

Arguments

Type	Intent	Optional	Attributes		Name
complex(kind=dp),	intent(inout),		DIMENSION(:, :, :)	::	signal
character(len=*),	intent(in)			::	method
integer,	intent(in),	optional		::	threads

NAFPack_fft Module

Contents

Functions

Uses

Functions

public function FFT_1D(signal, method, threads) result(result)

Arguments

Return Value complex(kind=dp), DIMENSION(SIZE(signal))

public function IFFT_1D(signal, method, threads) result(result)

Arguments

Return Value complex(kind=dp), DIMENSION(SIZE(signal))

public function FFT_2D(signal, method, threads) result(result)

Arguments

Return Value complex(kind=dp), DIMENSION(SIZE(signal, 1) ,SIZE(signal, 2))

public function IFFT_2D(signal, method, threads) result(result)

Arguments

Return Value complex(kind=dp), DIMENSION(SIZE(signal, 1), SIZE(signal, 2))

public function FFT_3D(signal, method, threads) result(result)

Arguments

Return Value complex(kind=dp), DIMENSION(SIZE(signal, 1) ,SIZE(signal, 2), SIZE(signal, 3))

public function IFFT_3D(signal, method, threads) result(result)

Arguments

Return Value complex(kind=dp), DIMENSION(SIZE(signal, 1), SIZE(signal, 2), SIZE(signal, 3))