C++ (Cpp) mag_binpow_uiui Examples

Example #1

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

int main()
{
    slong iter;
    flint_rand_t state;

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

    flint_randinit(state);

    for (iter = 0; iter < 10000 * arb_test_multiplier(); iter++)
    {
        fmpr_t x, y;
        mag_t b;
        ulong m, n;

        fmpr_init(x);
        fmpr_init(y);
        mag_init(b);

        m = n_randtest(state);
        n = n_randtest(state);

        fmpr_one(x);
        fmpr_div_ui(x, x, m, 128, FMPR_RND_UP);
        fmpr_add_ui(x, x, 1, 128, FMPR_RND_UP);
        fmpr_pow_sloppy_ui(x, x, n, 128, FMPR_RND_UP);

        mag_binpow_uiui(b, m, n);
        mag_get_fmpr(y, b);

        MAG_CHECK_BITS(b)

        if (!(fmpr_cmpabs(x, y) <= 0))
        {
            flint_printf("FAIL\n\n");
            flint_printf("m = %wu\n\n", m);
            flint_printf("n = %wu\n\n", n);
            flint_printf("x = "); fmpr_printd(x, 10); flint_printf("\n\n");
            flint_printf("y = "); fmpr_printd(y, 10); flint_printf("\n\n");
            flint_abort();
        }

        fmpr_clear(x);
        fmpr_clear(y);
        mag_clear(b);
    }

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

Example #2

File: polylog_tail.c Project: duhadler/SourceOfBasicLibraries

void
mag_polylog_tail(mag_t u, const mag_t z, long sigma, ulong d, ulong N)
{
    mag_t TN, UN, t;

    if (N < 2)
    {
        mag_inf(u);
        return;
    }

    mag_init(TN);
    mag_init(UN);
    mag_init(t);

    if (mag_cmp_2exp_si(z, 0) >= 0)
    {
        mag_inf(u);
    }
    else
    {
        /* Bound T(N) */
        mag_pow_ui(TN, z, N);

        /* multiply by log(N)^d */
        if (d > 0)
        {
            mag_log_ui(t, N);
            mag_pow_ui(t, t, d);
            mag_mul(TN, TN, t);
        }

        /* multiply by 1/k^s */
        if (sigma > 0)
        {
            mag_set_ui_lower(t, N);
            mag_pow_ui_lower(t, t, sigma);
            mag_div(TN, TN, t);
        }
        else if (sigma < 0)
        {
            mag_set_ui(t, N);
            mag_pow_ui(t, t, -sigma);
            mag_mul(TN, TN, t);
        }

        /* Bound U(N) */
        mag_set(UN, z);

        /* multiply by (1 + 1/N)**S */
        if (sigma < 0)
        {
            mag_binpow_uiui(t, N, -sigma);
            mag_mul(UN, UN, t);
        }

        /* multiply by (1 + 1/(N log(N)))^d */
        if (d > 0)
        {
            ulong nl;

            /* rounds down */
            nl = mag_d_log_lower_bound(N) * N * (1 - 1e-13);

            mag_binpow_uiui(t, nl, d);
            mag_mul(UN, UN, t);
        }

        /* T(N) / (1 - U(N)) */
        if (mag_cmp_2exp_si(UN, 0) >= 0)
        {
            mag_inf(u);
        }
        else
        {
            mag_one(t);
            mag_sub_lower(t, t, UN);
            mag_div(u, TN, t);
        }
    }

    mag_clear(TN);
    mag_clear(UN);
    mag_clear(t);
}