fft_serial, a C code 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:
| N | Time | MegaFLOPS |
|---|---|---|
| 2 | 4.943500e-07 | 20.2 |
| 4 | 1.217550e-06 | 32.8 |
| 8 | 2.283850e-06 | 52.5 |
| 16 | 5.334400e-06 | 59.9 |
| 32 | 1.051800e-05 | 76.0 |
| 64 | 2.125550e-05 | 90.3 |
| 128 | 3.229850e-05 | 138.7 |
| 256 | 7.576800e-05 | 135.1 |
| 512 | 1.544650e-04 | 149.1 |
| 1024 | 3.537100e-04 | 144.7 |
| 2048 | 7.222600e-04 | 155.9 |
| 4096 | 1.636675e-03 | 150.1 |
| 8192 | 3.392550e-03 | 156.9 |
| 16384 | 7.518900e-03 | 152.5 |
| 32768 | 1.601240e-02 | 153.4 |
| 65536 | 3.534380e-02 | 148.3 |
| 131072 | 7.358900e-02 | 151.3 |
| 262144 | 1.712250e-01 | 137.78 |
| 524288 | 3.547840e-01 | 140.3 |
| 1048576 | 7.744890e-01 | 135.3 |
The computer code and data files described and made available on this web page are distributed under the MIT license
fft_serial is available in a C version and a C++ version and a FORTRAN90 version and a MATLAB version.
FFT_OPENMP, a C code which computes a Fast Fourier Transform using OpenMP.
FFTPACK4, a C code which implements the Fast Fourier Transform (FFT) by Paul Swarztrauber and Dick Valent, translated by Andrew Fernandes;
FFTW3, C codes which illustrate the use of the FFTW3 library for Fast Fourier Transforms, by Matteo Frigo and Steven Johnson.
FIRE_SERIAL, a C code 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 code 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 code which is a serial version of the NAS Parallel Benchmark IS (integer sort).
LIFE_SERIAL, a C code 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 code which carries out a molecular dynamics simulation, and is intended as a starting point for developing a parallel version.
MXM_SERIAL, a C code which sets up a matrix multiplication problem A=B*C, intended as a starting point for implementing a parallel version.
OPENMP, C codes which illustrate the use of the OpenMP application program interface for carrying out parallel computations in a shared memory environment.
POISSON_SERIAL, a C code 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 code 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 code which approximates an integral using a quadrature rule, and is intended as a starting point for parallelization exercises.
SEARCH_SERIAL, a C code 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 code which implements the "slow" Fourier transform, intended as a teaching tool and comparison with the fast Fourier transform.
SINE_TRANSFORM, a C code which demonstrates some simple properties of the discrete sine transform.
SUBSET_SUM_SERIAL, a C code 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.