fft_openmp


fft_openmp, a C code which demonstrates the computation of a Fast Fourier Transform (FFT) in parallel, using OpenMP.

On an Apple PowerPC G5 with two processors, the following results were observed:
ThreadsNTimeMegaFLOPS
133,554,43232.65128.4
233,554,43219.87211.0
433,554,43219.80211.7

Usage:

In the BASH shell, the program could be run with 2 threads using the commands:

        export OMP_NUM_THREADS=2
        ./fft_openmp
      

Licensing:

The information on this web page is distributed under the MIT license.

Languages:

fft_openmp is available in a C version and a C++ version and a Fortran90 version.

Related Data and Programs:

fft_openmp_test

dijkstra_openmp, a C code which uses OpenMP to parallelize a simple example of Dijkstra's minimum distance algorithm for graphs.

fft_serial, a C code which demonstrates the computation of a Fast Fourier Transform, and is intended as a starting point for implementing a parallel version using OpenMP.

fftpack4, a C code which implements the Fast Fourier Transform (FFT) by Paul Swarztrauber and Dick Valent, translated by Andrew Fernandes;

fftw_test, a C code which illustrates the use of the fftw() library for Fast Fourier Transforms, by Matteo Frigo and Steven Johnson.

functions_openmp, a C code which demonstrates the behavior of a few of the OpenMP library functions.

heated_plate_openmp, a C code which solves the steady (time independent) heat equation in a 2D rectangular region, using OpenMP to run in parallel.

hello_openmp, a C code which prints out "Hello, world!" using the OpenMP parallel programming environment.

image_denoise_openmp, a C code which applies simple filtering techniques to remove noise from an image, carrying out the operation in parallel using OpenMP.

jacobi_openmp, a C code which illustrates the use of the OpenMP application program interface to parallelize a Jacobi iteration solving A*x=b.

julia_set_openmp, a C code which produces an image of a Julia set, using OpenMP to carry out the computation in parallel.

md_openmp, a C code which carries out a molecular dynamics simulation using OpenMP.

multitask_openmp, a C code which demonstrates how to "multitask", that is, to execute several unrelated and distinct tasks simultaneously, using OpenMP for parallel execution.

mxm_openmp, a C code which computes a dense matrix product C=A*B, using OpenMP for parallel execution.

openmp_test, a C code which uses the OpenMP application program interface for carrying out parallel computations in a shared memory environment.

poisson_openmp, a C code which computes an approximate solution to the Poisson equation in a rectangle, using the Jacobi iteration to solve the linear system, and OpenMP to carry out the Jacobi iteration in parallel.

prime_openmp, a C code which counts the primes between 1 and N, using OpenMP for parallel execution.

quad_openmp, a C code which approximates an integral using a quadrature rule, and carries out the computation in parallel using OpenMP.

random_openmp, a C code which illustrates how a parallel program using OpenMP can generate multiple distinct streams of random numbers.

satisfy_openmp, a C code which demonstrates, for a particular circuit, an exhaustive search for solutions of the circuit satisfy problem, using OpenMP for parallel execution.

schedule_openmp, a C code which demonstrates the default, static, and dynamic methods of "scheduling" loop iterations in OpenMP to avoid work imbalance.

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

sgefa_openmp, a C code which solves a linear system by Gaussian elimination, using OpenMP.

ziggurat_openmp, a C code which demonstrates how the ziggurat() library generates random numbers in an OpenMP parallel program.

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:


Last revised on 31 July 2020.