FFT_OPENMP
Fast Fourier Transform Using OpenMP {#fft_openmp-fast-fourier-transform-using-openmp align="center"}
FFT_OPENMP is a C++ program which demonstrates the computation of a Fast Fourier Transform in parallel, using OpenMP.
On an Apple PowerPC G5 with two processors, the following results were observed:
Threads N Time MegaFLOPS
1 33,554,432 32.06 130.8 2 33,554,432 19.70 212.8 4 33,554,432 20.10 208.6
In the BASH shell, the program could be run with 2 threads using the commands:
export OMP_NUM_THREADS=2
./fft_openmp
The computer code and data files described and made available on this web page are distributed under the GNU LGPL license.
FFT_OPENMP is available in a C version and a C++ version and a FORTRAN77 version and a FORTRAN90 version.
DIJKSTRA_OPENMP, a C++ program which uses OpenMP to parallelize a simple example of Dijkstra's minimum distance algorithm for graphs.
FFT_SERIAL, a C++ program which demonstrates the computation of a Fast Fourier Transform, and is intended as a starting point for implementing a parallel version using OpenMP.
HEATED_PLATE_OPENMP, a C++ program which solves the steady (time independent) heat equation in a 2D rectangular region, using OpenMP to run in parallel.
HELLO_OPENMP, a C++ program which prints out "Hello, world!" using the OpenMP parallel programming environment.
MD_OPENMP, a C++ program which carries out a molecular dynamics simulation using OpenMP.
MULTITASK_OPENMP, a C++ program which demonstrates how to "multitask", that is, to execute several unrelated and distinct tasks simultaneously, using OpenMP for parallel execution.
MXM_OPENMP, a C++ program which computes a dense matrix product C=A*B, using OpenMP for parallel execution.
OPENMP, C++ programs which illustrate the use of the OpenMP application program interface for carrying out parallel computations in a shared memory environment.
OPENMP_RCC, C++ programs which illustrate how a C program, using OpenMP, can be compiled and run in batch mode on the FSU High Performance Computing (HPC) cluster operated by the Research Computing Center (RCC).
POISSON_OPENMP, a C++ program 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++ program which counts the number of primes between 1 and N, using OpenMP for parallel execution.
QUAD_OPENMP, a C++ program which approximates an integral using a quadrature rule, and carries out the computation in parallel using OpenMP.
RANDOM_OPENMP, a C++ program which illustrates how a parallel program using OpenMP can generate multiple distinct streams of random numbers.
SATISFY_OPENMP, a C++ program 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++ program which demonstrates the default, static, and dynamic methods of "scheduling" loop iterations in OpenMP to avoid work imbalance.
SFTPACK, a C++ library which implements the "slow" Fourier transform, intended as a teaching tool and comparison with the fast Fourier transform.
SGEFA_OPENMP, a C++ program which solves a linear system by Gaussian elimination, using OpenMP.
ZIGGURAT_OPENMP, a C++ program which demonstrates how the ZIGGURAT library can be used to generate random numbers in an OpenMP parallel program.
- 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. - 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. - 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.
- fft_openmp.cpp, the source code.
FFT_LOCAL_G++ compiles, links, loads and runs the program using 1, 2 and 4 threads, the local interactive environment, and the G++ C++ compiler.
- hello_local_g++.sh, BASH commands.
- hello_local_g++_output.txt, the output file;
FFT_LOCAL_ICPC compiles, links, loads and runs the program using 1, 2 and 4 threads, the local interactive environment, and the ICPC C++ compiler.
- hello_local_icpc.sh, BASH commands.
- hello_local_icpc_output.txt, the output file;
FFT_ITHACA_G++ compiles, links, loads and runs the program using 1, 2 and 4 threads, using the PBS queueing system on Virginia Tech's Ithaca cluster, and the G++ C++ compiler.
- hello_ithaca_g++.sh, BASH commands.
- hello_ithaca_g++_output.txt, the output file;
FFT_ITHACA_ICPC compiles, links, loads and runs the program using 1, 2 and 4 threads, using the PBS queueing system on Virginia Tech's Ithaca cluster, and the ICPC C++ compiler.
- hello_ithaca_icpc.sh, BASH commands.
- hello_ithaca_icpc_output.txt, the output file;
- MAIN is the main program for FFT_OPENMP.
- CCOPY copies a complex vector.
- CFFT2 performs a complex Fast Fourier Transform.
- CFFTI sets up sine and cosine tables needed for the FFT calculation.
- GGL generates u(0,1) distributed random numbers.
- STEP carries out one step of the workspace version of CFFT2.
- TIMESTAMP prints the YMDHMS date as a timestamp.
You can go up one level to the C++ source codes.
Last revised on 20 March 2009.