C++ (Cpp) arb_poly_sin_series Beispiele

Beispiel #1

Datei: t-sin_pi_series.c Projekt: isuruf/arb

int main()
{
    slong iter;
    flint_rand_t state;

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

    flint_randinit(state);

    for (iter = 0; iter < 1000; iter++)
    {
        slong m, n1, n2, bits1, bits2, bits3;
        arb_poly_t S, A, B, C;
        arb_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);

        arb_poly_init(S);
        arb_poly_init(A);
        arb_poly_init(B);
        arb_poly_init(C);
        arb_init(pi);

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

        arb_poly_sin_pi_series(A, S, n1, bits2);

        arb_const_pi(pi, bits3);
        arb_poly_set_arb(B, pi);
        arb_poly_mul(B, S, B, bits3);
        arb_poly_sin_series(B, B, n2, bits3);

        arb_poly_set(C, A);
        arb_poly_truncate(C, FLINT_MIN(n1, n2));
        arb_poly_truncate(B, FLINT_MIN(n1, n2));

        if (!arb_poly_overlaps(B, C))
        {
            flint_printf("FAIL\n\n");
            flint_printf("S = "); arb_poly_printd(S, 15); flint_printf("\n\n");
            flint_printf("A = "); arb_poly_printd(A, 15); flint_printf("\n\n");
            flint_printf("B = "); arb_poly_printd(B, 15); flint_printf("\n\n");
            abort();
        }

        arb_poly_sin_pi_series(S, S, n1, bits2);

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

        arb_poly_clear(S);
        arb_poly_clear(A);
        arb_poly_clear(B);
        arb_poly_clear(C);
        arb_clear(pi);
    }

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

Beispiel #2

Datei: t-sin_series_cos_series.c Projekt: bluescarni/arb

int main()
{
    long iter;
    flint_rand_t state;

    printf("sin_series/cos_series....");
    fflush(stdout);

    flint_randinit(state);

    for (iter = 0; iter < 2000; iter++)
    {
        long m, n, qbits, rbits1, rbits2;
        fmpq_poly_t A, B;
        arb_poly_t a, b, c, d, e;

        qbits = 2 + n_randint(state, 200);
        rbits1 = 2 + n_randint(state, 200);
        rbits2 = 2 + n_randint(state, 200);

        m = 1 + n_randint(state, 30);
        n = 1 + n_randint(state, 30);

        fmpq_poly_init(A);
        fmpq_poly_init(B);
        arb_poly_init(a);
        arb_poly_init(b);
        arb_poly_init(c);
        arb_poly_init(d);
        arb_poly_init(e);

        fmpq_poly_randtest(A, state, m, qbits);
        arb_poly_set_fmpq_poly(a, A, rbits1);

        arb_poly_sin_series(b, a, n, rbits2);
        arb_poly_cos_series(c, a, n, rbits2);

        /* Check sin(x)^2 + cos(x)^2 = 1 */
        arb_poly_mullow(d, b, b, n, rbits2);
        arb_poly_mullow(e, c, c, n, rbits2);
        arb_poly_add(d, d, e, rbits2);

        fmpq_poly_one(B);
        if (!arb_poly_contains_fmpq_poly(d, B))
        {
            printf("FAIL\n\n");
            printf("bits2 = %ld\n", rbits2);

            printf("A = "); fmpq_poly_print(A); printf("\n\n");
            printf("a = "); arb_poly_printd(a, 15); printf("\n\n");
            printf("b = "); arb_poly_printd(b, 15); printf("\n\n");
            printf("c = "); arb_poly_printd(c, 15); printf("\n\n");
            printf("d = "); arb_poly_printd(d, 15); printf("\n\n");

            abort();
        }

        arb_poly_set(d, a);
        arb_poly_sin_series(d, d, n, rbits2);
        if (!arb_poly_equal(b, d))
        {
            printf("FAIL (aliasing 1)\n\n");
            abort();
        }

        arb_poly_set(d, a);
        arb_poly_cos_series(d, d, n, rbits2);
        if (!arb_poly_equal(c, d))
        {
            printf("FAIL (aliasing 2)\n\n");
            abort();
        }

        fmpq_poly_clear(A);
        fmpq_poly_clear(B);
        arb_poly_clear(a);
        arb_poly_clear(b);
        arb_poly_clear(c);
        arb_poly_clear(d);
        arb_poly_clear(e);
    }

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