mg_serial


mg_serial, a FORTRAN77 code which is a serial implementation of the NAS Parallel Benchmark known as MG ("MultiGrid").

MG_SERIAL demonstrates the capabilities of a very simple multigrid solver in computing a three dimensional potential field. This is a simplified multigrid solver in two important respects:

  1. it solves only a constant coefficient equation, and that only on a uniform cubical grid;
  2. it solves only a single equation, representing a scalar field rather than a vector field.

The NAS Parallel Benchmarks are "paper and pencil" specifications; that is, the proposers have laid down what the programs must do algorithmically, but only very general rules about computer language implementation have been given. Thus, a user or vendor has enormous freedom in implementing the benchmark program in a way that is optimal for a given architecture or parallel programming scheme.

As a starting point for implementors, the proposers have supplied certain initial versions of the benchmark programs.

This directory contains material derived from one such initial benchmark code. Persons interested in the original source of the benchmark codes should NOT work from this material, but should go to the NAS Parallel Benchmark website directly!

The benchmark programs are available in SERIAL, MPI and OPEN_MP versions, and in a sequence of "classes" of increasing size: S, W, A, B, C, D and E.

Statistics for classes S, W, A, B, and C are available, as run on an Apple Intel, using this SERIAL FORTRAN77 version of the program.
ClassSizeTime (sec)MFLOPS
S32^30.02404
W128^31.15423
A256^39.12426
B256^342.59456
C512^3??

This directory contains the serial version of the benchmark, along with include files that allow it to run in some of the smaller sizes.

The web site for the NAS Parallel Benchmarks is http://www.nas.nasa.gov/Resources/Software/npb.html.

Languages:

mg_serial is available in a FORTRAN77 version.

Related Data and Programs:

mg_serial_test

bt_serial, a FORTRAN77 program which runs the serial version of the NAS Parallel Benchmark known as "BT" (block tridiagonal solver for 3D PDE).

CG_SERIAL, a FORTRAN77 program which is a serial version of the NAS Parallel Benchmark CG (conjugate gradient solver).

EP_SERIAL, a FORTRAN77 program which is a serial version of the NAS Parallel Benchmark EP (embarassingly parallel).

FIRE_SERIAL, a FORTRAN77program 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.

IS_SERIAL, a C program which is a serial version of the NAS Parallel Benchmark IS (integer sort).

LINPACK_BENCH, a FORTRAN77 program which measures the time taken by LINPACK to solve a particular linear system.

MATMUL, a FORTRAN77 program which is an interactive matrix multiplication benchmark.

MDBNCH, a FORTRAN77 program which is a benchmark molecular simulation calculation.

MXM_SERIAL, a FORTRAN77 program which sets up a matrix multiplication problem A=B*C, intended as a starting point for implementing a parallel version.

POISSON_SERIAL, a FORTRAN77 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 FORTRAN77 program which counts the number of primes between 1 and N, intended as a starting point for the creation of a parallel version.

SEARCH_SERIAL, a FORTRAN77 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.

SUBSET_SUM_SERIAL, a FORTRAN77 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. David Bailey, Eric Barszcz, John Barton, D Browning, Robert Carter, Leonardo Dagum, Rod Fatoohi, Samuel Fineberg, Paul Frederickson, Thomas Lasinski, Robert Schreiber, Horst Simon, V Venkatakrishnan, Sisira Weeratunga,
    The NAS Parallel Benchmarks,
    International Journal of High Performane Computing Applications,
    Volume 5, Number 3, September 1991, pages 63-73.

Source Code:

Examples and tests:


Last revised on 25 October 2023.