/*
Copyright (C) 2010 Fredrik Johansson
This file is part of FLINT.
FLINT is free software: you can redistribute it and/or modify it under
the terms of the GNU Lesser General Public License (LGPL) as published
by the Free Software Foundation; either version 2.1 of the License, or
(at your option) any later version. See .
*/
#include "templates.h"
#include
#include
#include
int
main(void)
{
TEMPLATE(T, mat_t) A, B, C, I;
TEMPLATE(T, ctx_t) ctx;
slong i, j, m, r;
int result;
FLINT_TEST_INIT(state);
flint_printf("inv....");
fflush(stdout);
for (i = 0; i < 5 * flint_test_multiplier(); i++)
{
m = n_randint(state, 20);
TEMPLATE(T, ctx_randtest) (ctx, state);
TEMPLATE(T, mat_init)(A, m, m, ctx);
TEMPLATE(T, mat_init)(B, m, m, ctx);
TEMPLATE(T, mat_init)(C, m, m, ctx);
TEMPLATE(T, mat_init)(I, m, m, ctx);
for (j = 0; j < m; j++)
TEMPLATE(T, one)(TEMPLATE(T, mat_entry)(I, j, j), ctx);
/* Verify that A * A^-1 = I for random matrices */
TEMPLATE(T, mat_randrank)(A, state, m, ctx);
/* Dense or sparse? */
if (n_randint(state, 2))
TEMPLATE(T, mat_randops)(A, 1+n_randint(state, 1+m*m), state, ctx);
result = TEMPLATE(T, mat_inv)(B, A, ctx);
TEMPLATE(T, mat_mul)(C, A, B, ctx);
if (!TEMPLATE(T, mat_equal)(C, I, ctx) || !result)
{
flint_printf("FAIL:\n");
flint_printf("A * A^-1 != I!\n");
flint_printf("A:\n");
TEMPLATE(T, mat_print_pretty)(A, ctx);
flint_printf("A^-1:\n");
TEMPLATE(T, mat_print_pretty)(B, ctx);
flint_printf("A * A^-1:\n");
TEMPLATE(T, mat_print_pretty)(C, ctx);
flint_printf("\n");
abort();
}
/* Test aliasing */
TEMPLATE(T, mat_set)(C, A, ctx);
TEMPLATE(T, mat_inv)(A, A, ctx);
TEMPLATE(T, mat_mul)(B, A, C, ctx);
if (!TEMPLATE(T, mat_equal)(B, I, ctx))
{
flint_printf("FAIL:\n");
flint_printf("aliasing failed!\n");
TEMPLATE(T, mat_print_pretty)(C, ctx);
abort();
}
TEMPLATE(T, mat_clear)(A, ctx);
TEMPLATE(T, mat_clear)(B, ctx);
TEMPLATE(T, mat_clear)(C, ctx);
TEMPLATE(T, mat_clear)(I, ctx);
TEMPLATE(T, ctx_clear) (ctx);
}
/* Test singular systems */
for (i = 0; i < 1000 * flint_test_multiplier(); i++)
{
m = 1 + n_randint(state, 20);
r = n_randint(state, m);
TEMPLATE(T, ctx_randtest) (ctx, state);
TEMPLATE(T, mat_init)(A, m, m, ctx);
TEMPLATE(T, mat_init)(B, m, m, ctx);
TEMPLATE(T, mat_randrank)(A, state, r, ctx);
/* Dense */
if (n_randint(state, 2))
TEMPLATE(T, mat_randops)(A, 1+n_randint(state, 1+m*m), state, ctx);
result = TEMPLATE(T, mat_inv)(B, A, ctx);
if (result)
{
flint_printf("FAIL:\n");
flint_printf("singular matrix reported as invertible\n");
abort();
}
/* Aliasing */
result = TEMPLATE(T, mat_inv)(A, A, ctx);
if (result)
{
flint_printf("FAIL:\n");
flint_printf("singular matrix reported as invertible\n");
abort();
}
TEMPLATE(T, mat_clear)(A, ctx);
TEMPLATE(T, mat_clear)(B, ctx);
TEMPLATE(T, ctx_clear) (ctx);
}
FLINT_TEST_CLEANUP(state);
flint_printf("PASS\n");
return 0;
}