FFTW3 is a directory of FORTRAN90 programs which demonstrate the use of the FFTW3 library, which was written by Matteo Frigo and Steven Johnson.
FFTW3 is a library of C routines which can compute the Fast Fourier transform very efficiently.
FFTW3 can compute the discrete Fourier transform of:
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. FFTW3 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: http://www.fftw.org/ which contains the current source code, examples, and documentation.
Any program, subroutine or function that calls the FFTW3 functions must include, in its declarations, the statement
which will add the appropriate declarations for the FFTW3 functions.
At link time, you must include the compiled FFTW3 library, which is probably a file with the name libfftw3.a. If directory is the directory where this library is stored, then an appropriate command might be
gfortran myprog.f90 -Ldirectory -lfftw3
The computer code and data files described and made available on this web page are distributed under the GNU LGPL license.
Non-free licenses may also be purchased from MIT, for users who do not want their programs protected by the GPL.
FFTW3 examples are available in a C version and a FORTRAN77 version and a FORTRAN90 version.
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;
GSL, a C++ library which includes a number of FFT routines.
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, a FORTRAN90 library which implements versions of the Walsh and Haar transforms.
Matteo Frigo and Steven Johnson.
You can go up one level to the FORTRAN90 source codes.