Ejemplo n.º 1
0
int main()
{
    slong iter;
    flint_rand_t state;

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

    flint_randinit(state);

    for (iter = 0; iter < 1000 * arb_test_multiplier(); iter++)
    {
        acb_poly_t a, b, c, d, e;
        slong n1, n2, prec;
        int alg1, alg2;

        prec = 2 + n_randint(state, 200);

        if (n_randint(state, 40) == 0)
        {
            n1 = n_randint(state, 300);
            n2 = n_randint(state, 300);
        }
        else
        {
            n1 = n_randint(state, 30);
            n2 = n_randint(state, 30);
        }

        acb_poly_init(a);
        acb_poly_init(b);
        acb_poly_init(c);
        acb_poly_init(d);
        acb_poly_init(e);

        acb_poly_randtest(a, state, 20, prec, 3);
        acb_poly_randtest(b, state, 20, prec, 10);
        acb_poly_randtest(c, state, 20, prec, 10);
        acb_poly_randtest(d, state, 20, prec, 10);
        acb_poly_randtest(e, state, 20, prec, 10);

        alg1 = n_randint(state, 4);
        alg2 = n_randint(state, 7);

        switch (alg1)
        {
            case 0:
                acb_poly_sinh_cosh_series(b, c, a, n1, prec);
                break;
            case 1:
                acb_poly_sinh_cosh_series_basecase(b, c, a, n1, prec);
                break;
            case 2:
                acb_poly_sinh_cosh_series_exponential(b, c, a, n1, prec);
                break;
            default:
                acb_poly_sinh_series(b, a, n1, prec);
                acb_poly_cosh_series(c, a, n1, prec);
                break;
        }

        switch (alg2)
        {
            case 0:
                acb_poly_sinh_cosh_series(d, e, a, n2, prec);
                break;
            case 1:
                acb_poly_sinh_cosh_series_basecase(d, e, a, n2, prec);
                break;
            case 2:
                acb_poly_sinh_cosh_series_exponential(d, e, a, n2, prec);
                break;
            case 3:
                acb_poly_sinh_series(d, a, n2, prec);
                acb_poly_cosh_series(e, a, n2, prec);
                break;
            case 4:
                acb_poly_set(d, a);
                acb_poly_sinh_cosh_series(d, e, d, n2, prec);
                break;
            case 5:
                acb_poly_set(e, a);
                acb_poly_sinh_cosh_series(d, e, e, n2, prec);
                break;
            default:
                acb_poly_set(d, a);
                acb_poly_sinh_series(d, d, n2, prec);
                acb_poly_set(e, a);
                acb_poly_cosh_series(e, e, n2, prec);
                break;
        }

        acb_poly_truncate(b, FLINT_MIN(n1, n2));
        acb_poly_truncate(c, FLINT_MIN(n1, n2));
        acb_poly_truncate(d, FLINT_MIN(n1, n2));
        acb_poly_truncate(e, FLINT_MIN(n1, n2));

        if (!acb_poly_overlaps(b, d) || !acb_poly_overlaps(c, e))
        {
            flint_printf("FAIL\n\n");
            flint_printf("alg1 = %d, alg2 = %d, n1 = %wd, n2 = %wd\n\n", alg1, alg2, n1, n2);

            flint_printf("a = "); acb_poly_printd(a, 15); flint_printf("\n\n");
            flint_printf("b = "); acb_poly_printd(b, 15); flint_printf("\n\n");
            flint_printf("c = "); acb_poly_printd(c, 15); flint_printf("\n\n");
            flint_printf("d = "); acb_poly_printd(d, 15); flint_printf("\n\n");
            flint_printf("d = "); acb_poly_printd(e, 15); flint_printf("\n\n");

            abort();
        }

        acb_poly_clear(a);
        acb_poly_clear(b);
        acb_poly_clear(c);
        acb_poly_clear(d);
        acb_poly_clear(e);
    }

    flint_randclear(state);
    flint_cleanup();
    flint_printf("PASS\n");
    return EXIT_SUCCESS;
}
Ejemplo n.º 2
0
int main()
{
    slong iter;
    flint_rand_t state;

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

    flint_randinit(state);

    for (iter = 0; iter < 200 * arb_test_multiplier(); iter++)
    {
        slong m, n1, n2, n3, bits1, bits2, bits3;
        acb_poly_t S, A, B, C, T, U;

        bits1 = 2 + n_randint(state, 200);
        bits2 = 2 + n_randint(state, 200);
        bits3 = 2 + n_randint(state, 200);

        m = 1 + n_randint(state, 10);
        n1 = 1 + n_randint(state, 10);
        n2 = 1 + n_randint(state, 10);
        n3 = FLINT_MIN(n1, n2);

        acb_poly_init(S);
        acb_poly_init(A);
        acb_poly_init(B);
        acb_poly_init(C);
        acb_poly_init(T);
        acb_poly_init(U);

        acb_poly_randtest(S, state, m, bits1, 3);
        acb_poly_randtest(A, state, m, bits1, 3);
        acb_poly_randtest(B, state, m, bits1, 3);

        acb_hypgeom_shi_series(A, S, n1, bits2);
        acb_hypgeom_shi_series(B, S, n2, bits3);

        acb_poly_set(C, A);
        acb_poly_truncate(C, n3);
        acb_poly_truncate(B, n3);

        /* [Shi(h(x))]' h(x) = sinh(h(x)) h'(x) */
        acb_poly_sinh_series(U, S, n3, bits2);
        acb_poly_derivative(T, S, bits2);
        acb_poly_mullow(U, U, T, FLINT_MAX(0, n3 - 1), bits2);

        acb_poly_derivative(T, A, bits2);
        acb_poly_mullow(T, T, S, FLINT_MAX(0, n3 - 1), bits2);

        if (!acb_poly_overlaps(B, C) || !acb_poly_overlaps(T, U))
        {
            flint_printf("FAIL\n\n");
            flint_printf("S = "); acb_poly_printd(S, 15); flint_printf("\n\n");
            flint_printf("A = "); acb_poly_printd(A, 15); flint_printf("\n\n");
            flint_printf("B = "); acb_poly_printd(B, 15); flint_printf("\n\n");
            flint_printf("T = "); acb_poly_printd(T, 15); flint_printf("\n\n");
            flint_printf("U = "); acb_poly_printd(U, 15); flint_printf("\n\n");
            flint_abort();
        }

        acb_hypgeom_shi_series(S, S, n1, bits2);

        if (!acb_poly_overlaps(A, S))
        {
            flint_printf("FAIL (aliasing)\n\n");
            flint_abort();
        }

        acb_poly_clear(S);
        acb_poly_clear(A);
        acb_poly_clear(B);
        acb_poly_clear(C);
        acb_poly_clear(T);
        acb_poly_clear(U);
    }

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