C++ (Cpp) acb_mat_scalar_mul_acb Examples

Example #1

File: t-det.c Project: UBunt14/SourceOfBasicLibraries

int main()
{
    long iter;
    flint_rand_t state;

    printf("det....");
    fflush(stdout);

    flint_randinit(state);

    for (iter = 0; iter < 10000; iter++)
    {
        fmpq_mat_t Q;
        fmpq_t Qdet;
        acb_mat_t A;
        acb_t Adet, imagunit;
        long n, qbits, prec;
        int imaginary;

        n = n_randint(state, 8);
        qbits = 1 + n_randint(state, 100);
        prec = 2 + n_randint(state, 200);
        imaginary = n_randint(state, 2);

        fmpq_mat_init(Q, n, n);
        fmpq_init(Qdet);

        acb_mat_init(A, n, n);
        acb_init(Adet);
        acb_init(imagunit);

        fmpq_mat_randtest(Q, state, qbits);
        fmpq_mat_det(Qdet, Q);

        acb_mat_set_fmpq_mat(A, Q, prec);

        if (imaginary)
        {
            acb_onei(imagunit);
            acb_mat_scalar_mul_acb(A, A, imagunit, prec);
        }

        acb_mat_det(Adet, A, prec);

        if (imaginary)
        {
            acb_onei(imagunit);
            acb_inv(imagunit, imagunit, prec);
            acb_pow_ui(imagunit, imagunit, n, prec);
            acb_mul(Adet, Adet, imagunit, prec);
        }

        if (!acb_contains_fmpq(Adet, Qdet))
        {
            printf("FAIL (containment, iter = %ld)\n", iter);
            printf("n = %ld, prec = %ld\n", n, prec);
            printf("\n");

            printf("Q = \n"); fmpq_mat_print(Q); printf("\n\n");
            printf("Qdet = \n"); fmpq_print(Qdet); printf("\n\n");

            printf("A = \n"); acb_mat_printd(A, 15); printf("\n\n");
            printf("Adet = \n"); acb_printd(Adet, 15); printf("\n\n");
            printf("Adet = \n"); acb_print(Adet); printf("\n\n");

            abort();
        }

        fmpq_mat_clear(Q);
        fmpq_clear(Qdet);
        acb_mat_clear(A);
        acb_clear(Adet);
        acb_clear(imagunit);
    }

    flint_randclear(state);
    flint_cleanup();
    printf("PASS\n");
    return EXIT_SUCCESS;
}

Example #2

File: t-exp.c Project: fredrik-johansson/arb

int main()
{
    slong iter;
    flint_rand_t state;

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

    flint_randinit(state);

    /* check exp(A)*exp(c*A) = exp((1+c)*A) */
    for (iter = 0; iter < 500 * arb_test_multiplier(); iter++)
    {
        acb_mat_t A, E, F, EF, G;
        fmpq_mat_t Q;
        acb_t c, d;
        slong n, qbits, prec;

        n = n_randint(state, 5);
        qbits = 2 + n_randint(state, 300);
        prec = 2 + n_randint(state, 300);

        acb_init(c);
        acb_init(d);
        fmpq_mat_init(Q, n, n);
        acb_mat_init(A, n, n);
        acb_mat_init(E, n, n);
        acb_mat_init(F, n, n);
        acb_mat_init(EF, n, n);
        acb_mat_init(G, n, n);

        _fmpq_mat_randtest_for_exp(Q, state, qbits);
        acb_mat_set_fmpq_mat(A, Q, prec);

        acb_mat_exp(E, A, prec);

        acb_randtest(c, state, prec, 10);
        acb_mat_scalar_mul_acb(F, A, c, prec);
        acb_mat_exp(F, F, prec);

        acb_add_ui(d, c, 1, prec);
        acb_mat_scalar_mul_acb(G, A, d, prec);
        acb_mat_exp(G, G, prec);

        acb_mat_mul(EF, E, F, prec);

        if (!acb_mat_overlaps(EF, G))
        {
            flint_printf("FAIL\n\n");
            flint_printf("n = %wd, prec = %wd\n", n, prec);

            flint_printf("c = \n"); acb_printd(c, 15); flint_printf("\n\n");

            flint_printf("A = \n"); acb_mat_printd(A, 15); flint_printf("\n\n");
            flint_printf("E   = \n"); acb_mat_printd(E, 15); flint_printf("\n\n");
            flint_printf("F   = \n"); acb_mat_printd(F, 15); flint_printf("\n\n");
            flint_printf("E*F = \n"); acb_mat_printd(EF, 15); flint_printf("\n\n");
            flint_printf("G   = \n"); acb_mat_printd(G, 15); flint_printf("\n\n");

            flint_abort();
        }

        acb_clear(c);
        acb_clear(d);
        fmpq_mat_clear(Q);
        acb_mat_clear(A);
        acb_mat_clear(E);
        acb_mat_clear(F);
        acb_mat_clear(EF);
        acb_mat_clear(G);
    }

    flint_randclear(state);
    flint_cleanup();
    flint_printf("PASS\n");
    return EXIT_SUCCESS;
}