isa-l/erasure_code/gf_inverse_test.c

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#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, *save_mat, *invr_mat;

	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)
		return -1;

	// 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))
		return -1;

	// Test with leading zeros
	k = 3;
	memcpy(test_mat, test2, k * k);
	if (inv_test(test_mat, invr_mat, save_mat, k))
		return -1;

	// Test 3
	k = 3;
	memcpy(test_mat, test3, k * k);
	if (inv_test(test_mat, invr_mat, save_mat, k))
		return -1;

	// 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);
		return -1;
	}
	// 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");
		return -1;
	}

	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);
		return -1;
	}
	// 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);
			return -1;
		}
#ifdef TEST_VERBOSE
		if (0 == (t % 8))
			putchar('.');
#endif
	}

	printf(" Pass\n");
	return 0;
}