Example #1
0
File: det.c Project: goens/flint2
mp_limb_t
nmod_mat_det(const nmod_mat_t A)
{
    nmod_mat_t tmp;
    mp_limb_t det;
    long dim = A->r;

    if (dim != A->c)
    {
        printf("nmod_mat_det: nonsquare matrix");
        abort();
    }

    if (dim == 0) return 1UL;
    if (dim == 1) return nmod_mat_entry(A, 0, 0);

    nmod_mat_init_set(tmp, A);
    det = _nmod_mat_det(tmp);
    nmod_mat_clear(tmp);

    return det;
}
Example #2
0
int
main(void)
{
    slong i;

    FLINT_TEST_INIT(state);

    flint_printf("rref....");
    fflush(stdout);    

    for (i = 0; i < 1000 * flint_test_multiplier(); i++)
    {
        nmod_mat_t A, B, C, D;
        mp_limb_t mod;
        slong j, k, m, n, rank1, rank2;
        slong *perm;
        int equal;
        mp_limb_t c;

        mod = n_randtest_prime(state, 0);

        m = n_randint(state, 20);
        n = n_randint(state, 20);
        perm = _perm_init(2*m);

        nmod_mat_init(A, m, n, mod);
        nmod_mat_init(D, 2*m, n, mod);

        nmod_mat_randtest(A, state);
        nmod_mat_init_set(B, A);
        nmod_mat_init_set(C, A);

        rank1 = nmod_mat_rref(B);

        if (!check_rref_form(perm, B, rank1))
        {
            flint_printf("FAIL (malformed rref)\n");
            nmod_mat_print_pretty(A); flint_printf("\n\n");
            nmod_mat_print_pretty(B); flint_printf("\n\n");
            abort();
        }

        /* Concatenate the original matrix with the rref, scramble the rows,
           and check that the rref is the same */
        _perm_randtest(perm, 2 * m, state);

        for (j = 0; j < m; j++)
        {
            do { c = n_randint(state, mod); } while (c == 0);
            for (k = 0; k < n; k++)
                nmod_mat_entry(D, perm[j], k) =
                    nmod_mul(nmod_mat_entry(A, j, k), c, A->mod);
        }

        for (j = 0; j < m; j++)
        {
            do { c = n_randint(state, mod); } while (c == 0);
            for (k = 0; k < n; k++)
                nmod_mat_entry(D, perm[m + j], k) =
                    nmod_mul(nmod_mat_entry(B, j, k), c, A->mod);
        }

        rank2 = nmod_mat_rref(D);
        equal = (rank1 == rank2);

        if (equal)
        {
            for (j = 0; j < rank2; j++)
                for (k = 0; k < n; k++)
                    equal = equal && (nmod_mat_entry(B, j, k) ==
                                        nmod_mat_entry(D, j, k));
            for (j = rank2; j < 2 * rank2; j++)
                for (k = 0; k < n; k++)
                    equal = equal && (nmod_mat_entry(D, j, k) == 0);
        }

        if (!equal)
        {
            flint_printf("FAIL (rank1 = %wd, rank2 = %wd)!\n", rank1, rank2);
            nmod_mat_print_pretty(A); flint_printf("\n\n");
            nmod_mat_print_pretty(B); flint_printf("\n\n");
            nmod_mat_print_pretty(D); flint_printf("\n\n");
            abort();
        }

        _perm_clear(perm);
        nmod_mat_clear(A);
        nmod_mat_clear(B);
        nmod_mat_clear(C);
        nmod_mat_clear(D);
    }

    FLINT_TEST_CLEANUP(state);
    
    flint_printf("PASS\n");
    return 0;
}