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/**********************************************************************
Copyright(c) 2011-2015 Intel Corporation All rights reserved.
Redistribution and use in source and binary forms, with or without
modification, are permitted provided that the following conditions
are met:
* Redistributions of source code must retain the above copyright
notice, this list of conditions and the following disclaimer.
* 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.
* Neither the name of Intel Corporation nor the names of its
contributors may be used to endorse or promote products derived
from this software without specific prior written permission.
THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
"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 COPYRIGHT
OWNER OR CONTRIBUTORS 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 <stdio.h>
#include <stdlib.h>
#include <string.h> // for memset, memcmp
#include <assert.h>
#include "erasure_code.h"
#define TEST_LEN 8192
#ifndef TEST_SOURCES
#define TEST_SOURCES 128
#endif
#ifndef RANDOMS
#define RANDOMS 200
#endif
#define KMAX TEST_SOURCES
typedef unsigned char u8;
void
matrix_mult(u8 *a, u8 *b, u8 *c, int n)
{
int i, j, k;
u8 d;
for (i = 0; i < n; i++) {
for (j = 0; j < n; j++) {
d = 0;
for (k = 0; k < n; k++) {
d ^= gf_mul(a[n * i + k], b[n * k + j]);
}
c[i * n + j] = d;
}
}
}
void
print_matrix(u8 *a, int n)
{
int i, j;
for (i = 0; i < n; i++) {
for (j = 0; j < n; j++) {
printf(" %2x", a[i * n + j]);
}
printf("\n");
}
printf("\n");
}
int
is_ident(u8 *a, const int n)
{
int i, j;
u8 c;
for (i = 0; i < n; i++) {
for (j = 0; j < n; j++) {
c = *a++;
if (i == j)
c--;
if (c != 0)
return -1;
}
}
return 0;
}
int
inv_test(u8 *in, u8 *inv, u8 *sav, int n)
{
memcpy(sav, in, n * n);
if (gf_invert_matrix(in, inv, n)) {
printf("Given singular matrix\n");
print_matrix(sav, n);
return -1;
}
matrix_mult(inv, sav, in, n);
if (is_ident(in, n)) {
printf("fail\n");
print_matrix(sav, n);
print_matrix(inv, n);
print_matrix(in, n);
return -1;
}
#ifdef TEST_VERBOSE
putchar('.');
#endif
return 0;
}
int
main(int argc, char *argv[])
{
int i, k, t;
u8 *test_mat = NULL, *save_mat = NULL, *invr_mat = NULL;
int ret = -1;
u8 test1[] = { 1, 1, 6, 1, 1, 1, 7, 1, 9 };
u8 test2[] = { 0, 1, 6, 1, 0, 1, 0, 1, 9 };
u8 test3[] = { 0, 0, 1, 1, 0, 0, 0, 1, 1 };
u8 test4[] = { 0, 1, 6, 7, 1, 1, 0, 0, 0, 1, 2, 3, 3, 2, 2, 3 }; // = row3+3*row2
printf("gf_inverse_test: max=%d ", KMAX);
test_mat = malloc(KMAX * KMAX);
save_mat = malloc(KMAX * KMAX);
invr_mat = malloc(KMAX * KMAX);
if (NULL == test_mat || NULL == save_mat || NULL == invr_mat)
goto exit;
// Test with lots of leading 1's
k = 3;
memcpy(test_mat, test1, k * k);
if (inv_test(test_mat, invr_mat, save_mat, k))
goto exit;
// Test with leading zeros
k = 3;
memcpy(test_mat, test2, k * k);
if (inv_test(test_mat, invr_mat, save_mat, k))
goto exit;
// Test 3
k = 3;
memcpy(test_mat, test3, k * k);
if (inv_test(test_mat, invr_mat, save_mat, k))
goto exit;
// Test 4 - try a singular matrix
k = 4;
memcpy(test_mat, test4, k * k);
if (!gf_invert_matrix(test_mat, invr_mat, k)) {
printf("Fail: didn't catch singular matrix\n");
print_matrix(test4, 4);
goto exit;
}
// Do random test of size KMAX
k = KMAX;
for (i = 0; i < k * k; i++)
test_mat[i] = save_mat[i] = rand();
if (gf_invert_matrix(test_mat, invr_mat, k)) {
printf("rand picked a singular matrix, try again\n");
goto exit;
}
matrix_mult(invr_mat, save_mat, test_mat, k);
if (is_ident(test_mat, k)) {
printf("fail\n");
print_matrix(save_mat, k);
print_matrix(invr_mat, k);
print_matrix(test_mat, k);
goto exit;
}
// Do Randoms. Random size and coefficients
for (t = 0; t < RANDOMS; t++) {
k = rand() % KMAX;
for (i = 0; i < k * k; i++)
test_mat[i] = save_mat[i] = rand();
if (gf_invert_matrix(test_mat, invr_mat, k))
continue;
matrix_mult(invr_mat, save_mat, test_mat, k);
if (is_ident(test_mat, k)) {
printf("fail rand k=%d\n", k);
print_matrix(save_mat, k);
print_matrix(invr_mat, k);
print_matrix(test_mat, k);
goto exit;
}
#ifdef TEST_VERBOSE
if (0 == (t % 8))
putchar('.');
#endif
}
printf(" Pass\n");
ret = 0;
exit:
free(test_mat);
free(save_mat);
free(invr_mat);
return ret;
}
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