FFT_SERIAL
Fast Fourier Transform


FFT_SERIAL is a FORTRAN90 program which demonstrates the computation of a Fast Fourier Transform, and is intended as a starting point for developing a parallel version using OpenMP.

On an Apple PowerPC G5 with two processors, the following results were observed:
NTimeMegaFLOPS
20.1092E-059.161
40.2270E-0517.62
80.3381E-0535.49
160.4817E-0566.43
320.8672E-0592.25
640.1849E-04103.8
1280.3628E-04123.5
2560.8159E-04125.5
5120.1651E-03139.6
10240.3702E-03138.3
20480.7618E-03147.9
40960.1704E-02144.3
81920.3487E-02152.7
163840.8183E-02140.2
327680.1712E-01143.6
655360.4002E-01131.0
1310720.8538E-01130.5
2621440.1901124.1
5242880.391127.3
10485760.8493123.5

Licensing:

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

Languages:

FFT_SERIAL is available in a C version and a C++ version and a FORTRAN77 version and a FORTRAN90 version and a MATLAB version.

Related Data and Programs:

FFT_OPENMP, a FORTRAN90 program which computes a Fast Fourier Transform using OpenMP.

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;

FFTW3, FORTRAN90 programs which illustrate the use of the FFTW3 library for Fast Fourier Transforms, by Matteo Frigo and Steven Johnson.

FIRE_SERIAL, a FORTRAN90 program which simulates a forest fire over a rectangular array of trees, starting at a single random location. It is intended as a starting point for the development of a parallel version.

HEATED_PLATE, a FORTRAN90 program which solves the steady state heat equation in a 2D rectangular region, and is intended as a starting point for implementing an OpenMP parallel version.

MD, a FORTRAN90 program which carries out a molecular dynamics simulation, and is intended as a starting point for developing a parallel version using OpenMP.

MXM_SERIAL, a FORTRAN90 program which sets up a matrix multiplication problem A=B*C, intended as a starting point for implementing a parallel version.

OPENMP, FORTRAN90 programs which illustrate the use of the OpenMP application program interface for carrying out parallel computations in a shared memory environment.

POISSON_SERIAL, a FORTRAN90 program which computes an approximate solution to the Poisson equation in a rectangle, and is intended as the starting point for the creation of a parallel version.

PRIME_SERIAL, a FORTRAN90 program which counts the number of primes between 1 and N, intended as a starting point for the creation of a parallel version.

QUAD_SERIAL, a FORTRAN90 program which approximates an integral using a quadrature rule, and is intended as a starting point for parallelization exercises.

SEARCH_SERIAL, a FORTRAN90 program which searches the integers from A to B for a value J such that F(J) = C. this version of the program is intended as a starting point for a parallel approach.

SFTPACK, a FORTRAN90 library which implements the "slow" Fourier transform, intended as a teaching tool and comparison with the fast Fourier transform.

SINE_TRANSFORM, a FORTRAN90 library which demonstrates some simple properties of the discrete sine transform.

SUBSET_SUM_SERIAL, a FORTRAN90 program which seeks solutions of the subset sum problem, in which it is desired to find a subset of a set of integers which has a given sum; this version of the program is intended as a starting point for a parallel approach.

Reference:

  1. Wesley Petersen, Peter Arbenz,
    Introduction to Parallel Computing - A practical guide with examples in C,
    Oxford University Press,
    ISBN: 0-19-851576-6,
    LC: QA76.58.P47.
  2. Rohit Chandra, Leonardo Dagum, Dave Kohr, Dror Maydan, Jeff McDonald, Ramesh Menon,
    Parallel Programming in OpenMP,
    Morgan Kaufmann, 2001,
    ISBN: 1-55860-671-8,
    LC: QA76.642.P32.
  3. Barbara Chapman, Gabriele Jost, Ruud vanderPas, David Kuck,
    Using OpenMP: Portable Shared Memory Parallel Processing,
    MIT Press, 2007,
    ISBN13: 978-0262533027,
    LC: QA76.642.C49.

Source Code:

Examples and Tests:

List of Routines:

You can go up one level to the FORTRAN90 source codes.


Last revised on 29 March 2009.