Esempio n. 1
0
void
_arb_poly_rising_ui_series(arb_ptr res,
    arb_srcptr f, slong flen, ulong r,
        slong trunc, slong prec)
{
    if (trunc == 1 || flen == 1)
    {
        arb_rising_ui(res, f, r, prec);
        _arb_vec_zero(res + 1, trunc - 1);
    }
    else if (trunc == 2)
    {
        arb_rising2_ui(res, res + 1, f, r, prec);
        arb_mul(res + 1, res + 1, f + 1, prec);
    }
    else
    {
        _arb_poly_rising_ui_series_bsplit(res, f, flen, 0, r, trunc, prec);
    }
}
Esempio n. 2
0
int main()
{
    slong iter;
    flint_rand_t state;

    flint_printf("rising2_ui....");
    fflush(stdout);

    flint_randinit(state);

    for (iter = 0; iter < 1000; iter++)
    {
        arb_t a, u, v, u2, v2;
        fmpz *f;
        arb_ptr g;
        ulong n;
        slong i, prec;

        arb_init(a);
        arb_init(u);
        arb_init(v);
        arb_init(u2);
        arb_init(v2);

        arb_randtest(a, state, 1 + n_randint(state, 4000), 10);
        arb_randtest(u, state, 1 + n_randint(state, 4000), 10);
        arb_randtest(v, state, 1 + n_randint(state, 4000), 10);
        n = n_randint(state, 120);

        f = _fmpz_vec_init(n + 1);
        g = _arb_vec_init(n + 1);

        prec = 2 + n_randint(state, 4000);
        arb_rising2_ui(u, v, a, n, prec);

        arith_stirling_number_1u_vec(f, n, n + 1);
        for (i = 0; i <= n; i++)
            arb_set_fmpz(g + i, f + i);
        _arb_poly_evaluate(u2, g, n + 1, a, prec);

        _arb_poly_derivative(g, g, n + 1, prec);
        _arb_poly_evaluate(v2, g, n, a, prec);

        if (!arb_overlaps(u, u2) || !arb_overlaps(v, v2))
        {
            flint_printf("FAIL: overlap\n\n");
            flint_printf("n = %wu\n", n);
            flint_printf("a = "); arb_printd(a, 15); flint_printf("\n\n");
            flint_printf("u = "); arb_printd(u, 15); flint_printf("\n\n");
            flint_printf("u2 = "); arb_printd(u2, 15); flint_printf("\n\n");
            flint_printf("v = "); arb_printd(v, 15); flint_printf("\n\n");
            flint_printf("v2 = "); arb_printd(v2, 15); flint_printf("\n\n");
            abort();
        }

        arb_set(u2, a);
        arb_rising2_ui(u2, v, u2, n, prec);

        if (!arb_equal(u2, u))
        {
            flint_printf("FAIL: aliasing 1\n\n");
            flint_printf("a = "); arb_printd(a, 15); flint_printf("\n\n");
            flint_printf("u = "); arb_printd(u, 15); flint_printf("\n\n");
            flint_printf("u2 = "); arb_printd(u2, 15); flint_printf("\n\n");
            flint_printf("n = %wu\n", n);
            abort();
        }

        arb_set(v2, a);
        arb_rising2_ui(u, v2, v2, n, prec);

        if (!arb_equal(v2, v))
        {
            flint_printf("FAIL: aliasing 2\n\n");
            flint_printf("a = "); arb_printd(a, 15); flint_printf("\n\n");
            flint_printf("v = "); arb_printd(v, 15); flint_printf("\n\n");
            flint_printf("v2 = "); arb_printd(v2, 15); flint_printf("\n\n");
            flint_printf("n = %wu\n", n);
            abort();
        }

        arb_clear(a);
        arb_clear(u);
        arb_clear(v);
        arb_clear(u2);
        arb_clear(v2);
        _fmpz_vec_clear(f, n + 1);
        _arb_vec_clear(g, n + 1);
    }

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