FFT_SERIAL
Fast Fourier Transform


FFT_SERIAL is a C 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
24.943500e-0720.2
41.217550e-0632.8
82.283850e-0652.5
165.334400e-0659.9
321.051800e-0576.0
642.125550e-0590.3
1283.229850e-05138.7
2567.576800e-05135.1
5121.544650e-04149.1
10243.537100e-04144.7
20487.222600e-04155.9
40961.636675e-03150.1
81923.392550e-03156.9
163847.518900e-03152.5
327681.601240e-02153.4
655363.534380e-02148.3
1310727.358900e-02151.3
2621441.712250e-01137.78
5242883.547840e-01140.3
10485767.744890e-01135.3

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 C program which computes a Fast Fourier Transform using OpenMP.

FFTPACK4, a C library which implements the Fast Fourier Transform (FFT) by Paul Swarztrauber and Dick Valent, translated by Andrew Fernandes;

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

FIRE_SERIAL, a C 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 C 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.

IS_SERIAL, a C program which is a serial version of the NAS Parallel Benchmark IS (integer sort).

LIFE_SERIAL, a C program which computes a few steps of the evolution of John Conway's Game of Life, intended as a starting point for implementing a parallel version.

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

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

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

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

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

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

SUBSET_SUM_SERIAL, a C 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 C source codes.


Last revised on 29 March 2009.