gauss.c
author Markus Bröker <mbroeker@largo.dyndns.tv>
Thu, 16 Apr 2009 12:51:15 +0200
changeset 82 7ff8fc49cce4
parent 77 49e0babccb23
child 146 0ffa20c26b2d
permissions -rw-r--r--
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/**
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 * gauss.c
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c3fecc82ade6 standard tags for git projects
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 * Copyright (C) 2008 Markus Broeker
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 */
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#define VERSION 0.8
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#ifndef VERBOSE
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#define VERBOSE 1
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#endif
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#ifndef ZEROASSUMPTION
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#define ZEROASSUMPTION 1E-3     /* 0.001 = 0.0 */
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#endif
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#include <stdio.h>
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#include <stdlib.h>
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void ausgabe (float **A, int MAXX, int MAXY)
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{
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    int n, k;
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    for (k = 0; k < MAXY; k++) {
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        for (n = 0; n < MAXX - 1; n++) {
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            if ((A[k][n] < ZEROASSUMPTION) && (A[k][n] > -ZEROASSUMPTION))
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                A[k][n] = 0.0;
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            printf ("%8.2f ", A[k][n]);
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        }
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        printf ("=%8.2f\n", A[k][n]);
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    }
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}
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void gauss (float **A, int MAXX, int MAXY)
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{
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    int i, j, k, n;
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    float h;
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    i = 0;
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    for (j = 0; j < MAXY; j++) {
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        for (k = j + 1; k < MAXY; k++) {
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            if (A[k][i] != 0)
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                h = A[j][i] / A[k][i];
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            else
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                continue;
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            for (n = 0; n < MAXX; n++) {
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                A[k][n] *= -h;
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                A[k][n] += A[j][n];
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            }
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        }
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        i++;
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    }
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#ifdef PUPILS
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    printf ("\n");
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    ausgabe (A, MAXX, MAXY);
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    printf ("\n");
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#endif
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    i--;                        /* i = (MAXX-1)-1; */
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    for (j = MAXY - 1; j > -1; j--) {
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        for (k = j - 1; k > -1; k--) {
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            h = A[j][i] / A[k][i];
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            for (n = MAXX - 1; n > k - 1; n--) {
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                A[k][n] *= -h;
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                A[k][n] += (A[j][n]);
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                if (A[j][i] == 0.0) {
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                    printf ("Divison by Zero\n");
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                    exit (-1);
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                }
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                A[j][n] /= (A[j][i]);
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            }
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        }
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        i--;
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    }
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    if ((h = A[0][0]) == 0.0) {
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        printf ("Division by Zero\n");
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        exit (-1);
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    }
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    /*
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     * h=A[0][0];
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     */
3
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    A[0][0] /= h;
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    A[0][MAXX - 1] /= h;
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}
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int main (int argc, char **argv)
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{
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    int i, k;
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    int MAXX, MAXY;
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    float value;
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    float **A;
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    if (argc != 2) {
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        printf ("Benutzung: %s <UNBEKANNTE>\n", argv[0]);
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        printf ("Berechnet ein lineares Gleichungssystem mit n UNBEKANNTEN und n Zeilen ( nxn ).\n");
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        printf ("Praktische Beispiele stehen in der README Datei.\n");
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        return EXIT_FAILURE;
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    }
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    MAXY = atoi (argv[1]);
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    MAXX = MAXY + 1;
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    if ((A = calloc (MAXY, sizeof (float *))) == NULL) {
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        printf ("Nicht genug Speicher verfuegbar\n");
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        return EXIT_FAILURE;
3
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    }
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    for (i = 0; i < MAXY; i++) {
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        if ((A[i] = calloc (MAXX, sizeof (float))) == NULL) {
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            printf ("Nicht genug Speicher verfuegbar\n");
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            for (k = 0; k < i; k++)
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                free (A[k]);
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            free (A);
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   119
48
b94d657a9acb Policy Inonsistency on many files
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   120
            return EXIT_FAILURE;
3
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   121
        }
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   122
    }
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   123
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   124
    for (k = 0; k < MAXY; k++) {
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        printf ("Spalte %d: ", k);
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   126
        for (i = 0; i < MAXX; i++) {
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            if (scanf ("%f", &value) < 1) {
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                printf ("READ ERROR\n");
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                return EXIT_FAILURE;
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   130
            }
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            A[k][i] = value;
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   132
        }
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   133
    }
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   134
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   135
    if (VERBOSE) {
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        printf ("\n");
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   137
        ausgabe (A, MAXX, MAXY);
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   138
    }
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   139
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    gauss (A, MAXX, MAXY);
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   141
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    printf ("\nLoesung des GL-Systems( %d x %d )\n\n", MAXX - 1, MAXY);
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   143
    for (i = 0; i < MAXY; i++)
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        printf ("a[%2d] = %8.2f\n", i, A[i][MAXX - 1]);
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diff changeset
   145
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diff changeset
   146
    for (i = 0; i < MAXY; i++)
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        if (A[i] != NULL)
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   148
            free (A[i]);
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diff changeset
   149
    if (A != NULL)
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   150
        free (A);
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   151
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   152
    return EXIT_SUCCESS;
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diff changeset
   153
}