FFT_SERIAL
Fast Fourier Transform


FFT_SERIAL, 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
24.3525e-07 22.9753
41.15245e-06 34.7087
82.20385e-06 54.4502
164.509e-06 70.9692
326.798e-06 117.682
641.61065e-05 119.207
1283.28125e-05 136.533
2567.6573e-05 133.729
5120.000157155 146.607
10240.00035841 142.853
20480.00075819 148.564
40960.00170309 144.302
81920.00348095 152.970
163840.00811195 141.382
327680.0173951 141.281
655360.0402766 130.172
1310720.083454 133.500
2621440.184454 127.907
5242880.382927 130.070
10485760.835447 125.511

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 FORTRAN90 version and a MATLAB version.

Related Data and Programs:

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

fft_serial_test

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.

MD, a C++ 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 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:


Last revised on 07 March 2020.