fftw_test

fftw_test Fortran90 code which calls fftw(), which computes fast Fourier transforms, written by Matteo Frigo and Steven Johnson.

fftw() computes the discrete Fourier transform of:

• complex data;
• real data;
• even-symmetric real data (cosine transform);
• odd-symmetric real data (sine transform);

The length of the data is not required to be a power of 2. Any length of data can be processed.

The data is not restricted to 1 dimensional vectors. fftw() can handle data that is 2 or 3 dimensional. In fact, the program can handle data with any dimensionality.

Interested users should go to the fftw() home page: https://www.fftw.org/ which contains the current source code, examples, and documentation.

Usage:

Any Fortran program, subroutine or function that calls the fftw() functions must include, in its declarations, the statement

        include "fftw3.f90"
      

At link time, you must include the compiled fftw() library, which is probably a file with the name libfftw.a. If directory is the directory where this library is stored, then an appropriate command might be

        gfortran myprog.f90 -Ldirectory -lfftw
      

Licensing:

The computer code and data files described and made available on this web page are distributed under the MIT license

Non-free licenses may also be purchased from MIT, for users who do not want their programs protected by the GPL.

Languages:

fftw_test() is available in a C version and a Fortran90 version.

Related Programs:

fftpack5, a Fortran90 library which implements the Fast Fourier Transform by Paul Swarztrauber and Dick Valent;

fftpack5.1, a Fortran90 library which implements the Fast Fourier Transform by Paul Swarztrauber and Dick Valent;

nms, a Fortran90 library which includes a number of FFT routines.

sftpack, a Fortran90 library which implements the "slow" Fourier transform, intended as a teaching tool and comparison with the fast Fourier transform.

walsh_transform, a Fortran90 library which implements versions of the Walsh and Haar transforms.

Author:

Matteo Frigo, Steven Johnson.

Reference:

1. William Briggs, Van Emden Henson,
   The Discrete Fourier Transform,
   SIAM,
   LC: QA403.5 B75
2. Elbert Brigham,
   The Fast Fourier Transform and Its Applications,
   Prentice-Hall, 1988.
3. Matteo Frigo, Steven Johnson,
   User Manual for FFTW.

Source code:

• fftw_test.f90, calls all the tests.
• fftw_test.sh, runs all the tests.
• fftw_test.txt, the output file.

• fftw3.f90, the include file.