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:
N | Time | MegaFLOPS |
---|---|---|
2 | 4.3525e-07 | 22.9753 |
4 | 1.15245e-06 | 34.7087 |
8 | 2.20385e-06 | 54.4502 |
16 | 4.509e-06 | 70.9692 |
32 | 6.798e-06 | 117.682 |
64 | 1.61065e-05 | 119.207 |
128 | 3.28125e-05 | 136.533 |
256 | 7.6573e-05 | 133.729 |
512 | 0.000157155 | 146.607 |
1024 | 0.00035841 | 142.853 |
2048 | 0.00075819 | 148.564 |
4096 | 0.00170309 | 144.302 |
8192 | 0.00348095 | 152.970 |
16384 | 0.00811195 | 141.382 |
32768 | 0.0173951 | 141.281 |
65536 | 0.0402766 | 130.172 |
131072 | 0.083454 | 133.500 |
262144 | 0.184454 | 127.907 |
524288 | 0.382927 | 130.070 |
1048576 | 0.835447 | 125.511 |
The computer code and data files described and made available on this web page are distributed under the GNU LGPL 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++ program which computes a Fast Fourier Transform using OpenMP.
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.