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/*
* Copyright 2002 Niels Provos <provos@citi.umich.edu>
* All rights reserved.
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
* are met:
* 1. Redistributions of source code must retain the above copyright
* notice, this list of conditions and the following disclaimer.
* 2. Redistributions in binary form must reproduce the above copyright
* notice, this list of conditions and the following disclaimer in the
* documentation and/or other materials provided with the distribution.
* 3. All advertising materials mentioning features or use of this software
* must display the following acknowledgement:
* This product includes software developed by Niels Provos.
* 4. The name of the author may not be used to endorse or promote products
* derived from this software without specific prior written permission.
*
* THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``AS IS'' AND ANY EXPRESS OR
* IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES
* OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED.
* IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY DIRECT, INDIRECT,
* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
* NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
* DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
* THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
* (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF
* THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
*/
#include <sys/types.h>
#include <sys/queue.h>
#include <netinet/in.h>
#include <stdio.h>
#include <stdlib.h>
#include <unistd.h>
#include <err.h>
#include <string.h>
#include <math.h>
#include <ctype.h>
#include <jpeglib.h>
#include "config.h"
#include "common.h"
#define SWAP(a, b) do { \
double tmp; \
tmp = (a); (a) = (b); (b) = tmp; \
} while (0)
void
matrix_invert(double **a, int n)
{
double big, pivinv, tmp;
int i, icol, irow, j, k, l, ll;
int *indxc, *indxr, *ipiv;
indxc = calloc(n, sizeof(int));
indxr = calloc(n, sizeof(int));
ipiv = calloc(n, sizeof(int));
if (indxc == NULL || indxr == NULL || ipiv == NULL)
err(1, "%s: malloc", __func__);
for (i = 0; i < n; i++) {
big = 0.0;
for (j = 0; j < n; j++) {
if (ipiv[j] == 1)
continue;
for (k = 0; k < n; k++) {
if (ipiv[k] == 0) {
if (fabs(a[j][k]) >= big) {
big = fabs(a[j][k]);
irow = j;
icol = k;
}
} else if (ipiv[k] > 1)
err(1, "%s: singular matrix",
__func__);
}
}
++ipiv[icol];
if (irow != icol) {
for (l = 0; l < n; l++)
SWAP(a[irow][l], a[icol][l]);
}
indxr[i] = irow;
indxc[i] = icol;
if (a[icol][icol] == 0.0)
err(1, "%s: singular matrix", __func__);
pivinv = 1.0 / a[icol][icol];
a[icol][icol] = 1.0;
for (l = 0; l < n; l++)
a[icol][l] *= pivinv;
for (ll = 0; ll < n; ll++)
if (ll != icol) {
tmp = a[ll][icol];
a[ll][icol] = 0.0;
for (l = 0; l < n; l++)
a[ll][l] -= a[icol][l] * tmp;
}
}
for (l = n - 1; l >= 0; l--) {
if (indxr[l] != indxc[l])
for (k = 0; k < n; k++)
SWAP(a[k][indxr[l]], a[k][indxc[l]]);
}
free(ipiv);
free(indxr);
free(indxc);
}
#undef SWAP
void
print_matrix(char *str, double **A, int m, int n )
{
int i, j;
printf("%s: (%d x %d)\n", str, m, n);
for (i = 0; i < m; i++) {
printf(">");
for (j = 0; j < n; j++) {
printf(" %4.2f", A[ i ][ j ]);
}
printf("\n");
}
}
void
test_matrix(void)
{
double *A[2], B[2] = {1, 1.5}, C[2] = {0, 2};
A[0] = B;
A[1] = C;
print_matrix("A", A, 2, 2);
matrix_invert(A, 2);
print_matrix("A", A, 2, 2);
}
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