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

    flint_printf("si_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_si_series(A, S, n1, bits2);
        acb_hypgeom_si_series(B, S, n2, bits3);

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

        /* [Si(h(x))]' h(x) = sin(h(x)) h'(x) */
        acb_poly_sin_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");
            abort();
        }

        acb_hypgeom_si_series(S, S, n1, bits2);

        if (!acb_poly_overlaps(A, S))
        {
            flint_printf("FAIL (aliasing)\n\n");
            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;
}
Esempio n. 2
0
int main()
{
    slong iter;
    flint_rand_t state;

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

    flint_randinit(state);

    for (iter = 0; iter < 200 * arb_test_multiplier(); iter++)
    {
        slong m, n1, n2, rbits1, rbits2, rbits3;
        acb_poly_t a, b, c, d;

        rbits1 = 2 + n_randint(state, 300);
        rbits2 = 2 + n_randint(state, 300);
        rbits3 = 2 + n_randint(state, 300);

        m = n_randint(state, 15);
        n1 = n_randint(state, 15);
        n2 = n_randint(state, 15);

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

        acb_poly_randtest(a, state, m, rbits1, 10);
        acb_poly_randtest(b, state, 10, rbits1, 10);
        acb_poly_randtest(c, state, 10, rbits1, 10);

        acb_poly_sinc_series(b, a, n1, rbits2);
        acb_poly_sinc_series(c, a, n2, rbits3);

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

        if (!acb_poly_overlaps(c, d))
        {
            flint_printf("FAIL\n\n");
            flint_printf("n1 = %wd, n2 = %wd, bits2 = %wd, bits3 = %wd\n", n1, n2, rbits2, rbits3);
            flint_printf("a = "); acb_poly_printd(a, 50); flint_printf("\n\n");
            flint_printf("b = "); acb_poly_printd(b, 50); flint_printf("\n\n");
            flint_printf("c = "); acb_poly_printd(c, 50); flint_printf("\n\n");
            flint_abort();
        }

        /* check x sinc(x) = sin(x) */
        acb_poly_mullow(c, b, a, n1, rbits2);
        acb_poly_sin_series(d, a, n1, rbits2);

        if (!acb_poly_overlaps(c, d))
        {
            flint_printf("FAIL (functional equation)\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("c = "); acb_poly_printd(c, 15); flint_printf("\n\n");
            flint_printf("d = "); acb_poly_printd(d, 15); flint_printf("\n\n");
            flint_abort();
        }

        acb_poly_sinc_series(a, a, n1, rbits2);

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

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

    flint_randclear(state);
    flint_cleanup();
    flint_printf("PASS\n");
    return EXIT_SUCCESS;
}
int main()
{
    long iter;
    flint_rand_t state;

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

    flint_randinit(state);

    for (iter = 0; iter < 1000; iter++)
    {
        long m, n1, n2, bits1, bits2, bits3;
        acb_poly_t S, A, B, C;
        acb_t pi;

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

        m = 1 + n_randint(state, 30);
        n1 = 1 + n_randint(state, 30);
        n2 = 1 + n_randint(state, 30);

        acb_poly_init(S);
        acb_poly_init(A);
        acb_poly_init(B);
        acb_poly_init(C);
        acb_init(pi);

        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_poly_sin_pi_series(A, S, n1, bits2);

        acb_const_pi(pi, bits3);
        acb_poly_set_acb(B, pi);
        acb_poly_mul(B, S, B, bits3);
        acb_poly_sin_series(B, B, n2, bits3);

        acb_poly_set(C, A);
        acb_poly_truncate(C, FLINT_MIN(n1, n2));
        acb_poly_truncate(B, FLINT_MIN(n1, n2));

        if (!acb_poly_overlaps(B, C))
        {
            printf("FAIL\n\n");
            printf("S = "); acb_poly_printd(S, 15); printf("\n\n");
            printf("A = "); acb_poly_printd(A, 15); printf("\n\n");
            printf("B = "); acb_poly_printd(B, 15); printf("\n\n");
            abort();
        }

        acb_poly_sin_pi_series(S, S, n1, bits2);

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

        acb_poly_clear(S);
        acb_poly_clear(A);
        acb_poly_clear(B);
        acb_poly_clear(C);
        acb_clear(pi);
    }

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