Exemple #1
0
int main()
{
    slong iter;
    flint_rand_t state;

    flint_printf("mul_2exp_si....");
    fflush(stdout);

    flint_randinit(state);

    for (iter = 0; iter < 100000 * arb_test_multiplier(); iter++)
    {
        fmpr_t x, y, z;
        mag_t xb, yb;
        slong e;

        fmpr_init(x);
        fmpr_init(y);
        fmpr_init(z);

        mag_init(xb);
        mag_init(yb);

        mag_randtest_special(xb, state, 100);
        e = z_randtest(state);
        mag_get_fmpr(x, xb);

        mag_mul_2exp_si(yb, xb, e);

        fmpr_mul_2exp_si(y, x, e);

        mag_get_fmpr(z, yb);

        MAG_CHECK_BITS(yb)

        if (!fmpr_equal(z, y))
        {
            flint_printf("FAIL\n\n");
            flint_printf("x = "); fmpr_printd(x, 15); flint_printf("\n\n");
            flint_printf("y = "); fmpr_printd(y, 15); flint_printf("\n\n");
            flint_printf("z = "); fmpr_printd(z, 15); flint_printf("\n\n");
            abort();
        }

        fmpr_clear(x);
        fmpr_clear(y);
        fmpr_clear(z);

        mag_clear(xb);
        mag_clear(yb);
    }

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

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

    flint_randinit(state);

    for (iter = 0; iter < 100000 * arb_test_multiplier(); iter++)
    {
        fmpr_t x, y;
        mag_t xb, yb;
        int c1, c2;

        fmpr_init(x);
        fmpr_init(y);

        mag_init(xb);
        mag_init(yb);

        mag_randtest_special(xb, state, 100);
        mag_randtest_special(yb, state, 100);

        mag_get_fmpr(x, xb);
        mag_get_fmpr(y, yb);

        c1 = fmpr_cmp(x, y);
        c2 = mag_cmp(xb, yb);

        if (c1 != c2)
        {
            flint_printf("FAIL\n\n");
            flint_printf("x = "); fmpr_print(x); flint_printf("\n\n");
            flint_printf("y = "); fmpr_print(y); flint_printf("\n\n");
            flint_printf("xb = "); mag_print(xb); flint_printf("\n\n");
            flint_printf("yb = "); mag_print(yb); flint_printf("\n\n");
            abort();
        }

        fmpr_clear(x);
        fmpr_clear(y);

        mag_clear(xb);
        mag_clear(yb);
    }

    flint_randclear(state);
    flint_cleanup();
    flint_printf("PASS\n");
    return EXIT_SUCCESS;
}
Exemple #3
0
int main()
{
    slong iter;
    flint_rand_t state;

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

    flint_randinit(state);

    for (iter = 0; iter < 100000 * arb_test_multiplier(); iter++)
    {
        fmpr_t a, b, c;
        mag_t m;
        double x;

        fmpr_init(a);
        fmpr_init(b);
        fmpr_init(c);
        mag_init(m);

        x = d_randtest2(state);
        x = ldexp(x, 100 - n_randint(state, 200));

        if (n_randint(state, 100) == 0)
            x = 0.0;

        fmpr_set_d(a, x);
        mag_set_d(m, x);

        mag_get_fmpr(b, m);

        fmpr_set(c, a);
        fmpr_mul_ui(c, c, 1025, MAG_BITS, FMPR_RND_UP);
        fmpr_mul_2exp_si(c, c, -10);

        MAG_CHECK_BITS(m)

        if (!(fmpr_cmpabs(a, b) <= 0 && fmpr_cmpabs(b, c) <= 0))
        {
            flint_printf("FAIL\n\n");
            flint_printf("a = "); fmpr_print(a); flint_printf("\n\n");
            flint_printf("b = "); fmpr_print(b); flint_printf("\n\n");
            flint_printf("c = "); fmpr_print(c); flint_printf("\n\n");
            abort();
        }

        fmpr_clear(a);
        fmpr_clear(b);
        fmpr_clear(c);
        mag_clear(m);
    }

    flint_randclear(state);
    flint_cleanup();
    flint_printf("PASS\n");
    return EXIT_SUCCESS;
}
Exemple #4
0
int main()
{
    slong iter;
    flint_rand_t state;

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

    flint_randinit(state);

    for (iter = 0; iter < 2000 * arb_test_multiplier(); iter++)
    {
        fmpr_t x, y;
        fmpz_t f;
        mag_t xb;
        ulong n;

        fmpr_init(x);
        fmpr_init(y);
        fmpz_init(f);
        mag_init(xb);

        mag_randtest_special(xb, state, 80);
        n = n_randtest(state) % 2000;

        mag_rfac_ui(xb, n);
        fmpz_fac_ui(f, n);
        fmpr_one(x);
        fmpr_div_fmpz(x, x, f, 2 * MAG_BITS, FMPR_RND_UP);
        mag_get_fmpr(y, xb);

        MAG_CHECK_BITS(xb)

        if (!(fmpr_cmpabs(y, x) >= 0))
        {
            flint_printf("FAIL\n\n");
            flint_printf("n = %wu\n\n", n);
            flint_printf("x = "); fmpr_print(x); flint_printf("\n\n");
            flint_printf("y = "); fmpr_print(y); flint_printf("\n\n");
            abort();
        }

        fmpr_clear(x);
        fmpr_clear(y);
        fmpz_clear(f);
        mag_clear(xb);
    }

    flint_randclear(state);
    flint_cleanup();
    flint_printf("PASS\n");
    return EXIT_SUCCESS;
}
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;
}
Exemple #6
0
void
fmprb_hypgeom_infsum(fmprb_t P, fmprb_t Q, hypgeom_t hyp, long target_prec, long prec)
{
    mag_t err, z;
    long n;

    mag_init(err);
    mag_init(z);

    mag_set_fmpz(z, hyp->P->coeffs + hyp->P->length - 1);
    mag_div_fmpz(z, z, hyp->Q->coeffs + hyp->Q->length - 1);

    if (!hyp->have_precomputed)
    {
        hypgeom_precompute(hyp);
        hyp->have_precomputed = 1;
    }

    n = hypgeom_bound(err, hyp->r, hyp->boundC, hyp->boundD,
        hyp->boundK, hyp->MK, z, target_prec);

    fmprb_hypgeom_sum(P, Q, hyp, n, prec);

    if (fmpr_sgn(fmprb_midref(Q)) < 0)
    {
        fmprb_neg(P, P);
        fmprb_neg(Q, Q);
    }

    /* We have p/q = s + err i.e. (p + q*err)/q = s */
    {
        fmpr_t u, v;
        fmpr_init(u);
        fmpr_init(v);
        mag_get_fmpr(v, err);
        fmpr_add(u, fmprb_midref(Q), fmprb_radref(Q), FMPRB_RAD_PREC, FMPR_RND_UP);
        fmpr_mul(u, u, v, FMPRB_RAD_PREC, FMPR_RND_UP);
        fmprb_add_error_fmpr(P, u);
        fmpr_clear(u);
        fmpr_clear(v);
    }

    mag_clear(z);
    mag_clear(err);
}
Exemple #7
0
slong
hypgeom_root_bound(const mag_t z, int r)
{
    if (r == 0)
    {
        return 0;
    }
    else
    {
        fmpr_t t;
        slong v;
        fmpr_init(t);
        mag_get_fmpr(t, z);
        fmpr_root(t, t, r, MAG_BITS, FMPR_RND_UP);
        fmpr_add_ui(t, t, 1, MAG_BITS, FMPR_RND_UP);
        v = fmpr_get_si(t, FMPR_RND_UP);
        fmpr_clear(t);
        return v;
    }
}