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Cream of the Crop 1
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PROGRAM
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MATRIX04.ARJ
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DEMO.C
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1992-05-25
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/*
*-----------------------------------------------------------------------------
* file: demo.c
* desc: demostrate how to use Patrick's matrix toolbox
* by: ko shu pui, patrick
* date: 24 nov 91 v0.1
* revi: 14 may 92 v0.2
* 24 may 92 v0.4
* ref:
* [1] Mary L.Boas, "Mathematical Methods in the Physical Sciene,"
* John Wiley & Sons, 2nd Ed., 1983. Chap 3.
*
* [2] Kendall E.Atkinson, "An Introduction to Numberical Analysis,"
* John Wiley & Sons, 1978.
*
* [3] Alfred V.Aho, John E.Hopcroft, Jeffrey D.Ullman, "The Design
* and Analysis of Computer Algorithms," 1974.
*
*-----------------------------------------------------------------------------
*/
#include <stdio.h>
#include <time.h>
#include "matrix.h"
int main()
{
MATRIX A, B, X, M;
FILE *fp;
double result;
time_t t1, t2;
int tinv, tdet, tmul;
A = mat_creat( 10, 10, UNDEFINED );
B = mat_creat( 10, 1, UNDEFINED );
if ((fp = fopen( "demo.dat", "r" )) == NULL)
{
fprintf( stderr, "file cannot be opened\n" );
exit (0);
}
fgetmat( A, fp );
printf( "|- Matrix A -|\n");
mat_dumpf( A, "%+06.1f " );
t1 = time(&t1);
result = mat_det(A);
t2 = time(&t2);
tdet = t2 - t1;
printf( "\n\nDet(A) = %f\n", result );
printf( "|- Inv A -|\n");
t1 = time(&t1);
X = mat_inv( A );
t2 = time(&t2);
tinv = t2 - t1;
if (X == NULL)
printf( "A is a singular matrix\n" );
else
{
mat_dumpf(X, "%+06.1f ");
printf( "|- A x Inv A -|\n");
t1 = time(&t1);
M = mat_mul( X, A );
t2 = time(&t2);
tmul = t2 - t1;
mat_dumpf( M, "%+06.1f " );
mat_free(M);
mat_free(X);
}
fgetmat( B, fp );
printf( "|- Matrix B -|\n");
mat_dumpf( B, "%+06.1f " );
printf( "|- A x B -|\n");
mat_free(mat_dumpf(mat_mul(A, B), "%+06.1f "));
printf( "time for finding 10 x 10 matrix inversion is less than %d secs\n", tinv );
printf( "time for finding 10 x 10 matrix determinant is less than %d secs\n", tdet );
printf( "time for finding 10 x 10 matrix multiplication is less than %d secs\n", tmul );
mat_free( A );
mat_free( B );
fclose(fp);
}