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

    flint_printf("set_interval_mpfr....");
    fflush(stdout);
    flint_randinit(state);

    for (iter = 0; iter < 100000; iter++)
    {
        arb_t x;
        arf_t a, b;
        mpfr_t aa, bb;

        arb_init(x);
        arf_init(a);
        arf_init(b);
        mpfr_init2(aa, 200);
        mpfr_init2(bb, 200);

        arf_randtest_special(a, state, 200, 10);
        arf_randtest_special(b, state, 200, 10);
        if (arf_cmp(a, b) > 0)
            arf_swap(a, b);

        arf_get_mpfr(aa, a, MPFR_RNDD);
        arf_get_mpfr(bb, b, MPFR_RNDU);

        arb_set_interval_mpfr(x, aa, bb, 2 + n_randint(state, 200));

        if (!arb_contains_arf(x, a) || !arb_contains_arf(x, b))
        {
            flint_printf("FAIL:\n\n");
            flint_printf("x = "); arb_print(x); flint_printf("\n\n");
            flint_printf("a = "); arf_print(a); flint_printf("\n\n");
            flint_printf("b = "); arf_print(b); flint_printf("\n\n");
            abort();
        }

        arb_clear(x);
        arf_clear(a);
        arf_clear(b);
        mpfr_clear(aa);
        mpfr_clear(bb);
    }

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

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

    flint_randinit(state);

    for (iter = 0; iter < 100000; iter++)
    {
        slong bits;
        arf_t x, z;
        mpfr_t y;

        bits = 2 + n_randint(state, 200);

        arf_init(x);
        arf_init(z);
        mpfr_init2(y, bits);

        arf_randtest_special(x, state, bits, 10);
        arf_get_mpfr(y, x, MPFR_RNDN);
        arf_set_mpfr(z, y);

        if (!arf_equal(x, z))
        {
            flint_printf("FAIL\n\n");
            flint_printf("x = "); arf_print(x); flint_printf("\n\n");
            flint_printf("z = "); arf_print(z); flint_printf("\n\n");
            abort();
        }

        arf_clear(x);
        arf_clear(z);
        mpfr_clear(y);
    }

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

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

    flint_randinit(state);

    /* compare with fmpz */
    {
        arf_t x, y;
        fmpz_t X, Y;

        arf_init(x);
        arf_init(y);
        fmpz_init(X);
        fmpz_init(Y);

        for (iter = 0; iter < 100000 * arb_test_multiplier(); iter++)
        {
            int cmp1, cmp2;

            fmpz_randtest(X, state, 1 + n_randint(state, 1000));

            switch (n_randint(state, 8))
            {
                case 0:
                    fmpz_neg(Y, X);
                    break;
                case 1:
                    fmpz_set(Y, X);
                    break;
                default:
                    fmpz_randtest(Y, state, 1 + n_randint(state, 1000));
            }

            arf_set_fmpz(x, X);
            arf_set_fmpz(y, Y);

            cmp1 = arf_cmpabs(x, y);

            cmp2 = fmpz_cmpabs(X, Y);
            cmp2 = (cmp2 > 0) - (cmp2 < 0);

            if (cmp1 != cmp2)
            {
                flint_printf("FAIL\n\n");
                flint_printf("x = "); arf_debug(x); flint_printf("\n\n");
                flint_printf("y = "); arf_debug(y); flint_printf("\n\n");
                flint_printf("X = "); fmpz_print(X); flint_printf("\n\n");
                flint_printf("Y = "); fmpz_print(Y); flint_printf("\n\n");
                flint_printf("cmp1 = %d, cmp2 = %d\n\n", cmp1, cmp2);
                abort();
            }
        }

        arf_clear(x);
        arf_clear(y);
        fmpz_clear(X);
        fmpz_clear(Y);
    }

    /* compare with mpfr */
    for (iter = 0; iter < 100000 * arb_test_multiplier(); iter++)
    {
        slong bits;
        arf_t x, y;
        mpfr_t X, Y;
        int cmp1, cmp2;

        bits = 2 + n_randint(state, 200);

        arf_init(x);
        arf_init(y);

        mpfr_init2(X, bits);
        mpfr_init2(Y, bits);

        arf_randtest_special(x, state, bits, 10);
        arf_randtest_special(y, state, bits, 10);

        arf_get_mpfr(X, x, MPFR_RNDN);
        arf_get_mpfr(Y, y, MPFR_RNDN);

        mpfr_abs(X, X, MPFR_RNDN);
        mpfr_abs(Y, Y, MPFR_RNDN);

        cmp1 = arf_cmpabs(x, y);
        cmp2 = mpfr_cmp(X, Y);

        if (cmp1 != cmp2)
        {
            flint_printf("FAIL\n\n");
            flint_printf("x = "); arf_print(x); flint_printf("\n\n");
            flint_printf("y = "); arf_print(y); flint_printf("\n\n");
            flint_printf("cmp1 = %d, cmp2 = %d\n\n", cmp1, cmp2);
            abort();
        }

        arf_clear(x);
        arf_clear(y);

        mpfr_clear(X);
        mpfr_clear(Y);
    }

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

    flint_printf("is_int_2exp_si....");
    fflush(stdout);

    flint_randinit(state);

    for (iter = 0; iter < 10000 * arb_test_multiplier(); iter++)
    {
        arf_t x, y;
        fmpz_t t;
        slong e;
        int res1, res2;

        arf_init(x);
        arf_init(y);
        fmpz_init(t);

        arf_randtest_special(x, state, 2000, 100);
        e = n_randtest(state);
        arf_mul_2exp_si(y, x, e);

        res1 = arf_is_int(x);
        res2 = arf_is_int_2exp_si(y, e);

        if (res1 != res2)
        {
            flint_printf("FAIL! (1)\n");
            flint_printf("x = "); arf_print(x); flint_printf("\n\n");
            flint_printf("y = "); arf_print(y); flint_printf("\n\n");
            flint_printf("res1 = %d, res2 = %d\n\n", res1, res2);
            abort();
        }

        if (res1)
        {
            if (n_randint(state, 2))
                arf_floor(y, x);
            else
                arf_ceil(y, x);

            if (!arf_equal(x, y) || !arf_is_finite(x))
            {
                flint_printf("FAIL! (2)\n");
                flint_printf("x = "); arf_print(x); flint_printf("\n\n");
                flint_printf("y = "); arf_print(y); flint_printf("\n\n");
                flint_printf("res1 = %d\n\n", res1);
                abort();
            }
        }

        if (arf_is_finite(x) && !arf_is_zero(x))
        {
            arf_bot(t, x);
            fmpz_neg(t, t);
            arf_mul_2exp_fmpz(x, x, t);
            res1 = arf_is_int(x);
            arf_mul_2exp_si(y, x, -1);
            res2 = arf_is_int(y);

            if (!arf_is_int(x) || arf_is_int(y))
            {
                flint_printf("FAIL! (3)\n");
                flint_printf("x = "); arf_print(x); flint_printf("\n\n");
                flint_printf("y = "); arf_print(y); flint_printf("\n\n");
                flint_printf("res1 = %d, res2 = %d\n\n", res1, res2);
                abort();
            }
        }

        arf_clear(x);
        arf_clear(y);
        fmpz_clear(t);
    }

    flint_randclear(state);
    flint_cleanup();
    flint_printf("PASS\n");
    return EXIT_SUCCESS;
}
Beispiel #5
0
int main()
{
    slong iter;
    flint_rand_t state;

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

    flint_randinit(state);

    for (iter = 0; iter < 1000000 * arb_test_multiplier(); iter++)
    {
        arf_t x, y;
        slong prec, fix1, fix2;
        int ret1, ret2, sgnbit;
        mp_limb_t t[2];
        arf_rnd_t rnd;

        prec = 2 + n_randint(state, 1000);

        arf_init(x);
        arf_init(y);

        arf_randtest_special(x, state, 1 + n_randint(state, 200), 1 + n_randint(state, 100));
        arf_randtest_special(y, state, 1 + n_randint(state, 200), 1 + n_randint(state, 100));

        do {
            t[0] = n_randtest(state);
            t[1] = n_randtest(state);
        } while (t[0] == 0 && t[1] == 0);

        sgnbit = n_randint(state, 2);

        switch (n_randint(state, 10))
        {
            case 0: rnd = ARF_RND_DOWN; break;
            case 1: rnd = ARF_RND_UP; break;
            case 2: rnd = ARF_RND_FLOOR; break;
            case 3: rnd = ARF_RND_CEIL; break;
            default: rnd = ARF_RND_NEAR; break;
        }

        if (t[1] != 0)
        {
            ret1 = _arf_set_round_mpn(x, &fix1, t, 2, sgnbit, prec, rnd);
            fmpz_set_si(ARF_EXPREF(x), 2 * FLINT_BITS + fix1);
        }
        else
        {
            ret1 = _arf_set_round_mpn(x, &fix1, t, 1, sgnbit, prec, rnd);
            fmpz_set_si(ARF_EXPREF(x), FLINT_BITS + fix1);
        }

        ret2 = _arf_set_round_uiui(y, &fix2, t[1], t[0], sgnbit, prec, rnd);
        fmpz_set_si(ARF_EXPREF(y), 2 * FLINT_BITS + fix2);

        if (!arf_equal(x, y) || (ret1 != ret2))
        {
            flint_printf("FAIL\n\n");
            flint_printf("prec = %wd", prec); flint_printf("\n\n");
            flint_printf("hi = %wu, lo = %wu\n\n", t[1], t[0]);
            flint_printf("x = "); arf_print(x); flint_printf("\n\n");
            flint_printf("y = "); arf_print(y); flint_printf("\n\n");
            flint_printf("ret1 = %d, ret2 = %d\n\n", ret1, ret2);
            abort();
        }

        arf_clear(x);
        arf_clear(y);
    }

    flint_randclear(state);
    flint_cleanup();
    flint_printf("PASS\n");
    return EXIT_SUCCESS;
}
Beispiel #6
0
int main()
{
    slong iter;
    flint_rand_t state;

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

    flint_randinit(state);

    for (iter = 0; iter < 5000 * arb_test_multiplier(); iter++)
    {
        arf_t x;
        arb_t y1, y2;
        slong prec1, prec2, acc1, acc2;

        prec1 = 2 + n_randint(state, 9000);
        prec2 = 2 + n_randint(state, 9000);

        arf_init(x);
        arb_init(y1);
        arb_init(y2);

        arf_randtest_special(x, state, 1 + n_randint(state, 9000), 200);
        arb_randtest_special(y1, state, 1 + n_randint(state, 9000), 200);
        arb_randtest_special(y2, state, 1 + n_randint(state, 9000), 200);

        if (n_randint(state, 2))
            arf_add_ui(x, x, 1, 2 + n_randint(state, 9000), ARF_RND_DOWN);

        arb_log_arf(y1, x, prec1);
        arb_log_arf(y2, x, prec2);

        if (!arb_overlaps(y1, y2))
        {
            flint_printf("FAIL: overlap\n\n");
            flint_printf("prec1 = %wd, prec2 = %wd\n\n", prec1, prec2);
            flint_printf("x = "); arf_print(x); flint_printf("\n\n");
            flint_printf("y1 = "); arb_print(y1); flint_printf("\n\n");
            flint_printf("y2 = "); arb_print(y2); flint_printf("\n\n");
            abort();
        }

        acc1 = arb_rel_accuracy_bits(y1);
        acc2 = arb_rel_accuracy_bits(y2);

        if (arf_sgn(x) > 0)
        {
            if (acc1 < prec1 - 2 || acc2 < prec2 - 2)
            {
                flint_printf("FAIL: accuracy\n\n");
                flint_printf("prec1 = %wd, prec2 = %wd\n\n", prec1, prec2);
                flint_printf("acc1 = %wd, acc2 = %wd\n\n", acc1, acc2);
                flint_printf("x = "); arf_print(x); flint_printf("\n\n");
                flint_printf("y1 = "); arb_print(y1); flint_printf("\n\n");
                flint_printf("y2 = "); arb_print(y2); flint_printf("\n\n");
                abort();
            }
        }

        arf_clear(x);
        arb_clear(y1);
        arb_clear(y2);
    }

    flint_randclear(state);
    flint_cleanup();
    flint_printf("PASS\n");
    return EXIT_SUCCESS;
}
Beispiel #7
0
int main()
{
    slong iter;
    flint_rand_t state;

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

    flint_randinit(state);

    for (iter = 0; iter < 10000; iter++)
    {
        arf_t x, y;
        int result;

        arf_init(x);
        arf_init(y);

        arf_randtest_special(x, state, 2000, 100);
        arf_randtest_special(y, state, 2000, 100);

        arf_floor(y, x);

        result = 1;

        if (arf_is_int(x) || !arf_is_finite(x))
        {
            result = arf_equal(y, x);
        }
        else if (!arf_is_int(y))
        {
            result = 0;
        }
        else if (arf_cmp(y, x) >= 0)
        {
            result = 0;
        }
        else
        {
            arf_t s, t[3];

            /* check floor(x) - x + 1 > 0 */

            arf_init(s);
            arf_init(t[0]);
            arf_init(t[1]);
            arf_init(t[2]);

            arf_set(t[0], y);
            arf_neg(t[1], x);
            arf_one(t[2]);

            arf_sum(s, (arf_ptr) t, 3, 32, ARF_RND_DOWN);

            result = arf_sgn(s) > 0;

            arf_clear(s);
            arf_clear(t[0]);
            arf_clear(t[1]);
            arf_clear(t[2]);
        }

        if (!result)
        {
            flint_printf("FAIL!\n");
            flint_printf("x = "); arf_print(x); flint_printf("\n\n");
            flint_printf("y = "); arf_print(y); flint_printf("\n\n");
            abort();
        }

        arf_floor(x, x);

        if (!arf_equal(x, y))
        {
            flint_printf("FAIL (aliasing)!\n");
            flint_printf("x = "); arf_print(x); flint_printf("\n\n");
            flint_printf("y = "); arf_print(y); flint_printf("\n\n");
            abort();
        }

        arf_clear(x);
        arf_clear(y);
    }

    flint_randclear(state);
    flint_cleanup();
    flint_printf("PASS\n");
    return EXIT_SUCCESS;
}
Beispiel #8
0
int main()
{
    slong iter;
    flint_rand_t state;

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

    flint_randinit(state);

    {
        arf_t x, y, z;

        arf_init(x);
        arf_init(y);
        arf_init(z);

        for (iter = 0; iter < 100000 * arb_test_multiplier(); iter++)
        {
            slong bits1, bits2;
            int ret1, ret2;
            mpfr_t g1, g2;
            fmpz_t e;
            arf_rnd_t rnd;

            bits1 = 1 + n_randint(state, 1000);
            bits2 = 2 + n_randint(state, 1000);

            if (n_randint(state, 100) == 0)
                bits2 = ARF_PREC_EXACT;

            switch (n_randint(state, 5))
            {
                case 0: rnd = ARF_RND_DOWN; break;
                case 1: rnd = ARF_RND_UP; break;
                case 2: rnd = ARF_RND_FLOOR; break;
                case 3: rnd = ARF_RND_CEIL; break;
                default: rnd = ARF_RND_NEAR; break;
            }

            fmpz_init(e);
            mpfr_init2(g1, FLINT_MAX(2, bits1));
            mpfr_init2(g2, FLINT_MIN(bits2, 10000));

            if (n_randint(state, 100) == 0)
            {
                arf_clear(x); arf_clear(y); arf_clear(z);
                arf_init(x); arf_init(y); arf_init(z);
            }

            /* dirty output variables */
            if (n_randint(state, 2))
            {
                arf_randtest_special(y, state, 1 + n_randint(state, 1000),
                    1 + n_randint(state, 100));
                arf_randtest_special(z, state, 1 + n_randint(state, 1000),
                    1 + n_randint(state, 100));
            }

            arf_randtest_special(x, state, bits1, 1 + n_randint(state, 10));
            arf_get_mpfr(g1, x, MPFR_RNDD); /* exact */

            /* test large exponents */
            if (n_randint(state, 4) == 0)
                fmpz_randtest(e, state, 1 + n_randint(state, 100));

            if (!arf_is_special(x))
                fmpz_add(ARF_EXPREF(x), ARF_EXPREF(x), e);

            ret1 = arf_set_round(y, x, bits2, rnd);
            ret2 = mpfr_set(g2, g1, arf_rnd_to_mpfr(rnd));
            arf_set_mpfr(z, g2);

            if (!arf_is_special(y))
                fmpz_sub(ARF_EXPREF(y), ARF_EXPREF(y), e);

            if (!arf_equal(y, z) || ((ret1 == ARF_RESULT_EXACT) != (ret2 == 0)))
            {
                flint_printf("FAIL\n\n");
                flint_printf("bits1: %wd\n", bits1);
                flint_printf("bits2: %wd\n", bits2);
                flint_printf("x = "); arf_print(x); flint_printf("\n\n");
                flint_printf("y = "); arf_print(y); flint_printf("\n\n");
                flint_printf("z = "); arf_print(z); flint_printf("\n\n");
                flint_printf("ret1 = %d, ret2 = %d\n\n", ret1, ret2);
                flint_abort();
            }

            if (!arf_is_special(x))
                fmpz_add(ARF_EXPREF(x), ARF_EXPREF(x), e);

            ret1 = arf_set_round(y, x, bits2, rnd);
            arf_set(z, x);
            ret2 = arf_set_round(z, z, bits2, rnd);

            if (!arf_equal(y, z) || ret1 != ret2)
            {
                flint_printf("FAIL (aliasing)\n\n");
                flint_printf("bits1: %wd\n", bits1);
                flint_printf("bits2: %wd\n", bits2);
                flint_printf("x = "); arf_print(x); flint_printf("\n\n");
                flint_printf("y = "); arf_print(y); flint_printf("\n\n");
                flint_printf("z = "); arf_print(z); flint_printf("\n\n");
                flint_printf("ret1 = %d, ret2 = %d\n\n", ret1, ret2);
                flint_abort();
            }

            mpfr_clear(g1);
            mpfr_clear(g2);
            fmpz_clear(e);
        }

        arf_clear(x);
        arf_clear(y);
        arf_clear(z);
    }

    flint_randclear(state);
    flint_cleanup();
    flint_printf("PASS\n");
    return EXIT_SUCCESS;
}
Beispiel #9
0
int main()
{
    slong iter;
    flint_rand_t state;

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

    flint_randinit(state);

    for (iter = 0; iter < 1000000 * arb_test_multiplier(); iter++)
    {
        slong i, len, prec, bits, expbits;
        int res1, res2;
        arf_t s1, s2, s3, err;
        mag_t err_bound;
        arf_struct terms[20];
        arf_rnd_t rnd;

        len = n_randint(state, 20);
        bits = 2 + n_randint(state, 1000);
        prec = 2 + n_randint(state, 1000);
        expbits = n_randint(state, 14);

        arf_init(s1);
        arf_init(s2);
        arf_init(s3);
        arf_init(err);
        mag_init(err_bound);

        for (i = 0; i < len; i++)
        {
            arf_init(terms + i);
            arf_randtest_special(terms + i, state, bits, expbits);
        }

        switch (n_randint(state, 4))
        {
            case 0: rnd = ARF_RND_DOWN; break;
            case 1: rnd = ARF_RND_UP; break;
            case 2: rnd = ARF_RND_FLOOR; break;
            default: rnd = ARF_RND_CEIL; break;
        }

        res1 = arf_sum(s1, terms, len, prec, rnd);

        arf_zero(s2);
        for (i = 0; i < len; i++)
            arf_add(s2, s2, terms + i, ARF_PREC_EXACT, ARF_RND_DOWN);
        res2 = arf_set_round(s3, s2, prec, rnd);

        if (!arf_equal(s1, s3) || res1 != res2)
        {
            flint_printf("FAIL (%wd)\n\n", iter);
            flint_printf("prec = %wd\n\n", prec);
            for (i = 0; i < len; i++)
            {
                flint_printf("terms[%wd] = ", i); arf_print(terms + i); flint_printf("\n\n");
            }
            flint_printf("s1 = "); arf_print(s1); flint_printf("\n\n");
            flint_printf("s2 = "); arf_print(s2); flint_printf("\n\n");
            flint_printf("s3 = "); arf_print(s3); flint_printf("\n\n");
            flint_printf("res1 = %d, res2 = %d\n\n", res1, res2);
            abort();
        }

        arf_sub(err, s1, s2, ARF_PREC_EXACT, ARF_RND_DOWN);
        arf_abs(err, err);

        if (res1)
            arf_mag_set_ulp(err_bound, s1, prec);
        else
            mag_zero(err_bound);

        if (arf_cmpabs_mag(err, err_bound) > 0)
        {
            flint_printf("FAIL (error bound)!\n");
            flint_printf("prec = %wd\n\n", prec);
            for (i = 0; i < len; i++)
            {
                flint_printf("terms[%wd] = ", i); arf_print(terms + i); flint_printf("\n\n");
            }
            flint_printf("s1 = "); arf_print(s1); flint_printf("\n\n");
            flint_printf("s2 = "); arf_print(s2); flint_printf("\n\n");
            flint_printf("s3 = "); arf_print(s3); flint_printf("\n\n");
            flint_printf("error: "); arf_print(err); flint_printf("\n\n");
            flint_printf("error bound: "); mag_print(err_bound); flint_printf("\n\n");
            flint_printf("res1 = %d, res2 = %d\n\n", res1, res2);
            abort();
        }

        arf_clear(s1);
        arf_clear(s2);
        arf_clear(s3);
        arf_clear(err);
        mag_clear(err_bound);

        for (i = 0; i < len; i++)
            arf_clear(terms + i);
    }

    flint_randclear(state);
    flint_cleanup();
    flint_printf("PASS\n");
    return EXIT_SUCCESS;
}
Beispiel #10
0
int main()
{
    long iter, iter2;
    flint_rand_t state;

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

    flint_randinit(state);

    for (iter = 0; iter < 10000; iter++)
    {
        arf_t x, z, v;
        fmpz_t y;
        long prec, r1, r2;
        arf_rnd_t rnd;

        arf_init(x);
        arf_init(z);
        arf_init(v);
        fmpz_init(y);

        for (iter2 = 0; iter2 < 100; iter2++)
        {
            arf_randtest_special(x, state, 2000, 10);
            fmpz_randtest(y, state, 2000);
            prec = 2 + n_randint(state, 2000);

            if (n_randint(state, 10) == 0 && fmpz_bits(ARF_EXPREF(x)) < 10)
            {
                prec = ARF_PREC_EXACT;
            }

            switch (n_randint(state, 4))
            {
                case 0:  rnd = ARF_RND_DOWN; break;
                case 1:  rnd = ARF_RND_UP; break;
                case 2:  rnd = ARF_RND_FLOOR; break;
                default: rnd = ARF_RND_CEIL; break;
            }

            switch (n_randint(state, 2))
            {
            case 0:
                r1 = arf_add_fmpz(z, x, y, prec, rnd);
                r2 = arf_add_fmpz_naive(v, x, y, prec, rnd);
                if (!arf_equal(z, v) || r1 != r2)
                {
                    printf("FAIL!\n");
                    printf("prec = %ld, rnd = %d\n\n", prec, rnd);
                    printf("x = "); arf_print(x); printf("\n\n");
                    printf("y = "); fmpz_print(y); printf("\n\n");
                    printf("z = "); arf_print(z); printf("\n\n");
                    printf("v = "); arf_print(v); printf("\n\n");
                    printf("r1 = %ld, r2 = %ld\n", r1, r2);
                    abort();
                }
                break;

            default:
                r2 = arf_add_fmpz_naive(v, x, y, prec, rnd);
                r1 = arf_add_fmpz(x, x, y, prec, rnd);
                if (!arf_equal(x, v) || r1 != r2)
                {
                    printf("FAIL (aliasing)!\n");
                    printf("prec = %ld, rnd = %d\n\n", prec, rnd);
                    printf("x = "); arf_print(x); printf("\n\n");
                    printf("y = "); fmpz_print(y); printf("\n\n");
                    printf("v = "); arf_print(v); printf("\n\n");
                    printf("r1 = %ld, r2 = %ld\n", r1, r2);
                    abort();
                }
                break;
            }
        }

        arf_clear(x);
        arf_clear(z);
        arf_clear(v);
        fmpz_clear(y);
    }

    flint_randclear(state);
    flint_cleanup();
    printf("PASS\n");
    return EXIT_SUCCESS;
}
Beispiel #11
0
int main()
{
    long iter;
    flint_rand_t state;

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

    flint_randinit(state);

    /* self-consistency test */
    for (iter = 0; iter < 5000; iter++)
    {
        arf_t x;
        arb_t y1, y2;
        long prec1, prec2, acc1, acc2;

        prec1 = 2 + n_randint(state, 9000);
        prec2 = 2 + n_randint(state, 9000);

        arf_init(x);
        arb_init(y1);
        arb_init(y2);

        arf_randtest_special(x, state, 1 + n_randint(state, 9000), 200);
        arb_randtest_special(y1, state, 1 + n_randint(state, 9000), 200);
        arb_randtest_special(y2, state, 1 + n_randint(state, 9000), 200);

        if (n_randint(state, 2))
            arf_add_ui(x, x, 1, 2 + n_randint(state, 9000), ARF_RND_DOWN);

        arb_atan_arf(y1, x, prec1);
        arb_atan_arf(y2, x, prec2);

        if (!arb_overlaps(y1, y2))
        {
            printf("FAIL: overlap\n\n");
            printf("prec1 = %ld, prec2 = %ld\n\n", prec1, prec2);
            printf("x = "); arf_print(x); printf("\n\n");
            printf("y1 = "); arb_print(y1); printf("\n\n");
            printf("y2 = "); arb_print(y2); printf("\n\n");
            abort();
        }

        acc1 = arb_rel_accuracy_bits(y1);
        acc2 = arb_rel_accuracy_bits(y2);

        if (!arf_is_nan(x))
        {
            if (acc1 < prec1 - 2 || acc2 < prec2 - 2)
            {
                printf("FAIL: accuracy\n\n");
                printf("prec1 = %ld, prec2 = %ld\n\n", prec1, prec2);
                printf("acc1 = %ld, acc2 = %ld\n\n", acc1, acc2);
                printf("x = "); arf_printd(x, 50); printf("\n\n");
                printf("y1 = "); arb_printd(y1, 50); printf("\n\n");
                printf("y2 = "); arb_printd(y2, 50); printf("\n\n");
                abort();
            }
        }

        arf_clear(x);
        arb_clear(y1);
        arb_clear(y2);
    }

    flint_randclear(state);
    flint_cleanup();
    printf("PASS\n");
    return EXIT_SUCCESS;
}
Beispiel #12
0
int main()
{
    long iter;
    flint_rand_t state;

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

    flint_randinit(state);

    for (iter = 0; iter < 10000; iter++)
    {
        arb_t a, b, c;
        arf_t m, r;

        arb_init(a);
        arb_init(b);
        arb_init(c);
        arf_init(m);
        arf_init(r);

        arb_randtest_special(a, state, 1 + n_randint(state, 2000), 10);
        arb_randtest_special(b, state, 1 + n_randint(state, 2000), 10);
        arb_randtest_special(c, state, 1 + n_randint(state, 2000), 10);
        arf_randtest_special(m, state, 1 + n_randint(state, 2000), 10);
        arf_randtest_special(r, state, 1 + n_randint(state, 2000), 10);

        /* c = a plus error bounds */
        arb_set(c, a);
        arf_set(arb_midref(b), m);
        arf_get_mag(arb_radref(b), r);
        arb_add_error(c, b);

        /* b = a + random point */
        arb_set(b, a);

        if (n_randint(state, 2))
            arf_add(arb_midref(b), arb_midref(b), m, ARF_PREC_EXACT, ARF_RND_DOWN);
        else
            arf_sub(arb_midref(b), arb_midref(b), m, ARF_PREC_EXACT, ARF_RND_DOWN);

        if (n_randint(state, 2))
            arf_add(arb_midref(b), arb_midref(b), r, ARF_PREC_EXACT, ARF_RND_DOWN);
        else
            arf_sub(arb_midref(b), arb_midref(b), r, ARF_PREC_EXACT, ARF_RND_DOWN);

        /* should this be done differently? */
        if (arf_is_nan(arb_midref(b)))
            arf_zero(arb_midref(b));

        if (!arb_contains(c, b))
        {
            printf("FAIL (arb_add_error)\n\n");
            printf("a = "); arb_printn(a, 50, 0); printf("\n\n");
            printf("b = "); arb_printn(b, 50, 0); printf("\n\n");
            printf("c = "); arb_printn(c, 50, 0); printf("\n\n");
            abort();
        }

        arb_clear(a);
        arb_clear(b);
        arb_clear(c);
        arf_clear(m);
        arf_clear(r);
    }

    for (iter = 0; iter < 10000; iter++)
    {
        arb_t a, b, c;
        arf_t m;

        arb_init(a);
        arb_init(b);
        arb_init(c);
        arf_init(m);

        arb_randtest_special(a, state, 1 + n_randint(state, 2000), 10);
        arb_randtest_special(b, state, 1 + n_randint(state, 2000), 10);
        arb_randtest_special(c, state, 1 + n_randint(state, 2000), 10);
        arf_randtest_special(m, state, 1 + n_randint(state, 2000), 10);

        /* c = a plus error bounds */
        arb_set(c, a);
        arb_add_error_arf(c, m);

        /* b = a + random point */
        arb_set(b, a);

        if (n_randint(state, 2))
            arf_add(arb_midref(b), arb_midref(b), m, ARF_PREC_EXACT, ARF_RND_DOWN);
        else
            arf_sub(arb_midref(b), arb_midref(b), m, ARF_PREC_EXACT, ARF_RND_DOWN);

        /* should this be done differently? */
        if (arf_is_nan(arb_midref(b)))
            arf_zero(arb_midref(b));

        if (!arb_contains(c, b))
        {
            printf("FAIL (arb_add_error_arf)\n\n");
            printf("a = "); arb_printn(a, 50, 0); printf("\n\n");
            printf("b = "); arb_printn(b, 50, 0); printf("\n\n");
            printf("c = "); arb_printn(c, 50, 0); printf("\n\n");
            abort();
        }

        arb_clear(a);
        arb_clear(b);
        arb_clear(c);
        arf_clear(m);
    }

    for (iter = 0; iter < 10000; iter++)
    {
        arb_t a, b, c;
        arf_t t;
        mag_t r;

        arb_init(a);
        arb_init(b);
        arb_init(c);
        mag_init(r);
        arf_init(t);

        arb_randtest_special(a, state, 1 + n_randint(state, 2000), 10);
        arb_randtest_special(b, state, 1 + n_randint(state, 2000), 10);
        mag_randtest(r, state, 10);

        /* c = a plus error bounds */
        arb_set(c, a);
        arb_add_error_mag(c, r);

        /* b = a + random point */
        arb_set(b, a);
        arf_set_mag(t, r);
        if (n_randint(state, 2))
            arf_add(arb_midref(b), arb_midref(b), t, ARF_PREC_EXACT, ARF_RND_DOWN);
        else
            arf_sub(arb_midref(b), arb_midref(b), t, ARF_PREC_EXACT, ARF_RND_DOWN);

        /* should this be done differently? */
        if (arf_is_nan(arb_midref(b)))
            arf_zero(arb_midref(b));

        if (!arb_contains(c, b))
        {
            printf("FAIL (arb_add_error_mag)\n\n");
            printf("a = "); arb_printn(a, 50, 0); printf("\n\n");
            printf("b = "); arb_printn(b, 50, 0); printf("\n\n");
            printf("c = "); arb_printn(c, 50, 0); printf("\n\n");
            abort();
        }

        arb_clear(a);
        arb_clear(b);
        arb_clear(c);
        mag_clear(r);
        arf_clear(t);
    }

    for (iter = 0; iter < 10000; iter++)
    {
        arb_t a, b, c;
        arf_t t;
        long e;

        arb_init(a);
        arb_init(b);
        arb_init(c);
        arf_init(t);

        arb_randtest_special(a, state, 1 + n_randint(state, 2000), 10);
        arb_randtest_special(b, state, 1 + n_randint(state, 2000), 10);
        e = n_randint(state, 10) - 10;

        /* c = a plus error bounds */
        arb_set(c, a);
        arb_add_error_2exp_si(c, e);

        /* b = a + random point */
        arb_set(b, a);
        arf_one(t);
        arf_mul_2exp_si(t, t, e);
        if (n_randint(state, 2))
            arf_add(arb_midref(b), arb_midref(b), t, ARF_PREC_EXACT, ARF_RND_DOWN);
        else
            arf_sub(arb_midref(b), arb_midref(b), t, ARF_PREC_EXACT, ARF_RND_DOWN);

        /* should this be done differently? */
        if (arf_is_nan(arb_midref(b)))
            arf_zero(arb_midref(b));

        if (!arb_contains(c, b))
        {
            printf("FAIL (arb_add_error_2exp_si)\n\n");
            printf("a = "); arb_printn(a, 50, 0); printf("\n\n");
            printf("b = "); arb_printn(b, 50, 0); printf("\n\n");
            printf("c = "); arb_printn(c, 50, 0); printf("\n\n");
            abort();
        }

        arb_clear(a);
        arb_clear(b);
        arb_clear(c);
        arf_clear(t);
    }

    for (iter = 0; iter < 10000; iter++)
    {
        arb_t a, b, c;
        arf_t t;
        fmpz_t e;

        arb_init(a);
        arb_init(b);
        arb_init(c);
        arf_init(t);
        fmpz_init(e);

        arb_randtest_special(a, state, 1 + n_randint(state, 2000), 10);
        arb_randtest_special(b, state, 1 + n_randint(state, 2000), 10);
        fmpz_randtest(e, state, 10);

        /* c = a plus error bounds */
        arb_set(c, a);
        arb_add_error_2exp_fmpz(c, e);

        /* b = a + random point */
        arb_set(b, a);
        arf_one(t);
        arf_mul_2exp_fmpz(t, t, e);
        if (n_randint(state, 2))
            arf_add(arb_midref(b), arb_midref(b), t, ARF_PREC_EXACT, ARF_RND_DOWN);
        else
            arf_sub(arb_midref(b), arb_midref(b), t, ARF_PREC_EXACT, ARF_RND_DOWN);

        /* should this be done differently? */
        if (arf_is_nan(arb_midref(b)))
            arf_zero(arb_midref(b));

        if (!arb_contains(c, b))
        {
            printf("FAIL (arb_add_error_2exp_fmpz)\n\n");
            printf("a = "); arb_printn(a, 50, 0); printf("\n\n");
            printf("b = "); arb_printn(b, 50, 0); printf("\n\n");
            printf("c = "); arb_printn(c, 50, 0); printf("\n\n");
            abort();
        }

        arb_clear(a);
        arb_clear(b);
        arb_clear(c);
        arf_clear(t);
        fmpz_clear(e);
    }

    flint_randclear(state);
    flint_cleanup();
    printf("PASS\n");
    return EXIT_SUCCESS;
}
Beispiel #13
0
int main()
{
    slong iter;
    flint_rand_t state;

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

    flint_randinit(state);

    for (iter = 0; iter < 10000; iter++)
    {
        arb_t a, b, c, d;
        arf_t x;
        slong prec;

        arb_init(a);
        arb_init(b);
        arb_init(c);
        arb_init(d);
        arf_init(x);

        arb_randtest_special(a, state, 1 + n_randint(state, 2000), 100);
        arb_randtest_special(b, state, 1 + n_randint(state, 2000), 100);
        arb_randtest_special(c, state, 1 + n_randint(state, 2000), 100);
        arf_randtest_special(x, state, 1 + n_randint(state, 2000), 100);

        prec = 2 + n_randint(state, 2000);

        arb_set_arf(b, x);
        arb_div_arf(c, a, x, prec);
        arb_div(d, a, b, prec);

        if (!arb_equal(c, d))
        {
            flint_printf("FAIL\n\n");
            flint_printf("a = "); arb_print(a); flint_printf("\n\n");
            flint_printf("b = "); arb_print(b); flint_printf("\n\n");
            flint_printf("c = "); arb_print(c); flint_printf("\n\n");
            flint_printf("d = "); arb_print(d); flint_printf("\n\n");
            abort();
        }

        arb_clear(a);
        arb_clear(b);
        arb_clear(c);
        arb_clear(d);
        arf_clear(x);
    }

    /* aliasing */
    for (iter = 0; iter < 10000; iter++)
    {
        arb_t a, b, c;
        arf_t x;
        slong prec;

        arb_init(a);
        arb_init(b);
        arb_init(c);
        arf_init(x);

        arb_randtest_special(a, state, 1 + n_randint(state, 2000), 100);
        arb_randtest_special(b, state, 1 + n_randint(state, 2000), 100);
        arb_randtest_special(c, state, 1 + n_randint(state, 2000), 100);
        arf_randtest_special(x, state, 1 + n_randint(state, 2000), 100);

        prec = 2 + n_randint(state, 2000);

        arb_set_arf(b, x);
        arb_div_arf(c, a, x, prec);
        arb_div_arf(a, a, x, prec);

        if (!arb_equal(a, c))
        {
            flint_printf("FAIL (aliasing)\n\n");
            flint_printf("a = "); arb_print(a); flint_printf("\n\n");
            flint_printf("b = "); arb_print(b); flint_printf("\n\n");
            flint_printf("c = "); arb_print(c); flint_printf("\n\n");
            abort();
        }

        arb_clear(a);
        arb_clear(b);
        arb_clear(c);
        arf_clear(x);
    }

    flint_randclear(state);
    flint_cleanup();
    flint_printf("PASS\n");
    return EXIT_SUCCESS;
}
Beispiel #14
0
int main()
{
    slong iter, iter2;
    flint_rand_t state;

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

    flint_randinit(state);

    for (iter = 0; iter < 10000 * arb_test_multiplier(); iter++)
    {
        arf_t x, y, z, v;
        slong prec, r1, r2;
        arf_rnd_t rnd;
        fmpz_t t;

        arf_init(x);
        arf_init(y);
        arf_init(z);
        arf_init(v);
        fmpz_init(t);

        for (iter2 = 0; iter2 < 100; iter2++)
        {
            arf_randtest_special(x, state, 2000, 100);
            arf_randtest_special(y, state, 2000, 100);
            prec = 2 + n_randint(state, 2000);

            switch (n_randint(state, 5))
            {
                case 0:  rnd = ARF_RND_DOWN; break;
                case 1:  rnd = ARF_RND_UP; break;
                case 2:  rnd = ARF_RND_FLOOR; break;
                case 3:  rnd = ARF_RND_CEIL; break;
                default: rnd = ARF_RND_NEAR; break;
            }

            rnd = ARF_RND_DOWN;

            if (arf_is_normal(x) && arf_is_normal(y))
            {
                fmpz_sub(t, ARF_EXPREF(x), ARF_EXPREF(y));

                /* if not too far apart, sometimes test exact addition */
                if (fmpz_bits(t) < 10)
                {
                    if (n_randint(state, 10) == 0)
                        prec = ARF_PREC_EXACT;
                }
                else if (rnd == ARF_RND_NEAR)
                { /* large shift not supported in add_naive */
                    rnd = ARF_RND_DOWN;
                }
            }

            switch (n_randint(state, 5))
            {
            case 0:
                r1 = arf_add(z, x, y, prec, rnd);
                r2 = arf_add_naive(v, x, y, prec, rnd);
                if (!arf_equal(z, v) || r1 != r2)
                {
                    flint_printf("FAIL!\n");
                    flint_printf("prec = %wd, rnd = %d\n\n", prec, rnd);
                    flint_printf("x = "); arf_print(x); flint_printf("\n\n");
                    flint_printf("y = "); arf_print(y); flint_printf("\n\n");
                    flint_printf("z = "); arf_print(z); flint_printf("\n\n");
                    flint_printf("v = "); arf_print(v); flint_printf("\n\n");
                    flint_printf("r1 = %wd, r2 = %wd\n", r1, r2);
                    abort();
                }
                break;

            case 1:
                r1 = arf_add(z, x, x, prec, rnd);
                r2 = arf_add_naive(v, x, x, prec, rnd);
                if (!arf_equal(z, v) || r1 != r2)
                {
                    flint_printf("FAIL (aliasing 1)!\n");
                    flint_printf("prec = %wd, rnd = %d\n\n", prec, rnd);
                    flint_printf("x = "); arf_print(x); flint_printf("\n\n");
                    flint_printf("z = "); arf_print(z); flint_printf("\n\n");
                    flint_printf("v = "); arf_print(v); flint_printf("\n\n");
                    flint_printf("r1 = %wd, r2 = %wd\n", r1, r2);
                    abort();
                }
                break;

            case 2:
                r2 = arf_add_naive(v, x, x, prec, rnd);
                r1 = arf_add(x, x, x, prec, rnd);
                if (!arf_equal(v, x) || r1 != r2)
                {
                    flint_printf("FAIL (aliasing 2)!\n");
                    flint_printf("prec = %wd, rnd = %d\n\n", prec, rnd);
                    flint_printf("x = "); arf_print(x); flint_printf("\n\n");
                    flint_printf("z = "); arf_print(z); flint_printf("\n\n");
                    flint_printf("v = "); arf_print(v); flint_printf("\n\n");
                    flint_printf("r1 = %wd, r2 = %wd\n", r1, r2);
                    abort();
                }
                break;

            case 3:
                r2 = arf_add_naive(v, x, y, prec, rnd);
                r1 = arf_add(x, x, y, prec, rnd);
                if (!arf_equal(x, v) || r1 != r2)
                {
                    flint_printf("FAIL (aliasing 3)!\n");
                    flint_printf("prec = %wd, rnd = %d\n\n", prec, rnd);
                    flint_printf("x = "); arf_print(x); flint_printf("\n\n");
                    flint_printf("y = "); arf_print(y); flint_printf("\n\n");
                    flint_printf("v = "); arf_print(v); flint_printf("\n\n");
                    flint_printf("r1 = %wd, r2 = %wd\n", r1, r2);
                    abort();
                }
                break;

            default:
                r2 = arf_add_naive(v, x, y, prec, rnd);
                r1 = arf_add(x, y, x, prec, rnd);
                if (!arf_equal(x, v) || r1 != r2)
                {
                    flint_printf("FAIL (aliasing 4)!\n");
                    flint_printf("prec = %wd, rnd = %d\n\n", prec, rnd);
                    flint_printf("x = "); arf_print(x); flint_printf("\n\n");
                    flint_printf("y = "); arf_print(y); flint_printf("\n\n");
                    flint_printf("v = "); arf_print(v); flint_printf("\n\n");
                    flint_printf("r1 = %wd, r2 = %wd\n", r1, r2);
                    abort();
                }
                break;
            }
        }

        arf_clear(x);
        arf_clear(y);
        arf_clear(z);
        arf_clear(v);
        fmpz_clear(t);
    }

    flint_randclear(state);
    flint_cleanup();
    flint_printf("PASS\n");
    return EXIT_SUCCESS;
}
Beispiel #15
0
int main()
{
    slong iter;
    flint_rand_t state;

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

    flint_randinit(state);

    /* test exact roundtrip */
    for (iter = 0; iter < 100000 * arb_test_multiplier(); iter++)
    {
        arf_t x, z;
        double y;
        arf_rnd_t rnd;

        arf_init(x);
        arf_init(z);

        switch (n_randint(state, 4))
        {
            case 0:  rnd = ARF_RND_DOWN; break;
            case 1:  rnd = ARF_RND_UP; break;
            case 2:  rnd = ARF_RND_FLOOR; break;
            case 3:  rnd = ARF_RND_CEIL; break;
            default: rnd = ARF_RND_NEAR; break;
        }

        arf_randtest_special(x, state, 53, 8);
        y = arf_get_d(x, rnd);
        arf_set_d(z, y);

        if (!arf_equal(x, z))
        {
            flint_printf("FAIL:\n\n");
            flint_printf("x = "); arf_print(x); flint_printf("\n\n");
            flint_printf("y = %.17g\n\n", y);
            flint_printf("z = "); arf_print(z); flint_printf("\n\n");
            abort();
        }

        arf_clear(x);
        arf_clear(z);
    }

    /* test rounding */
    for (iter = 0; iter < 100000 * arb_test_multiplier(); iter++)
    {
        arf_t x, z, w;
        arf_rnd_t rnd;
        double y;

        arf_init(x);
        arf_init(z);
        arf_init(w);

        arf_randtest_special(x, state, 300, 8);

        switch (n_randint(state, 4))
        {
            case 0:  rnd = ARF_RND_DOWN; break;
            case 1:  rnd = ARF_RND_UP; break;
            case 2:  rnd = ARF_RND_FLOOR; break;
            default: rnd = ARF_RND_CEIL; break;
        }

        y = arf_get_d(x, rnd);
        arf_set_d(w, y);

        arf_set_round(z, x, 53, rnd);

        if (!arf_equal(w, z))
        {
            flint_printf("FAIL:\n\n");
            flint_printf("x = "); arf_print(x); flint_printf("\n\n");
            flint_printf("y = %.17g\n\n", y);
            flint_printf("z = "); arf_print(z); flint_printf("\n\n");
            flint_printf("w = "); arf_print(w); flint_printf("\n\n");
            abort();
        }

        arf_clear(x);
        arf_clear(z);
        arf_clear(w);
    }

    /* compare with mpfr */
    for (iter = 0; iter < 100000 * arb_test_multiplier(); iter++)
    {
        arf_t x, r1, r2;
        arf_rnd_t rnd;
        mpfr_t t;
        double d1, d2;

        arf_init(x);
        arf_init(r1);
        arf_init(r2);
        mpfr_init2(t, 300);

        arf_randtest_special(x, state, 300, 20);
        arf_get_mpfr(t, x, MPFR_RNDD);

        switch (n_randint(state, 4))
        {
            case 0:  rnd = ARF_RND_DOWN; break;
            case 1:  rnd = ARF_RND_UP; break;
            case 2:  rnd = ARF_RND_FLOOR; break;
            case 3:  rnd = ARF_RND_CEIL; break;
            default: rnd = ARF_RND_NEAR; break;
        }

        d1 = arf_get_d(x, rnd);
        d2 = mpfr_get_d(t, rnd_to_mpfr(rnd));

        arf_set_d(r1, d1);
        arf_set_d(r2, d2);

        if (!arf_equal(r1, r2))
        {
            flint_printf("FAIL:\n\n");
            flint_printf("rnd = %i\n\n", rnd);
            flint_printf("x = "); arf_print(x); flint_printf("\n\n");
            flint_printf("d1 = %.17g\n\n", d1);
            flint_printf("d2 = %.17g\n\n", d2);
            flint_printf("r1 = "); arf_print(r1); flint_printf("\n\n");
            flint_printf("r2 = "); arf_print(r2); flint_printf("\n\n");
            abort();
        }

        arf_clear(x);
        arf_clear(r1);
        arf_clear(r2);
        mpfr_clear(t);
    }

    flint_randclear(state);
    flint_cleanup();
    flint_printf("PASS\n");
    return EXIT_SUCCESS;
}
Beispiel #16
0
int main()
{
    long iter, iter2;
    flint_rand_t state;

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

    flint_randinit(state);

    for (iter = 0; iter < 10000; iter++)
    {
        arf_t e1, f1, e2, f2, a, b, c, d;
        long prec, r1, r2;
        arf_rnd_t rnd;

        arf_init(a);
        arf_init(b);
        arf_init(c);
        arf_init(d);
        arf_init(e1);
        arf_init(f1);
        arf_init(e2);
        arf_init(f2);

        for (iter2 = 0; iter2 < 100; iter2++)
        {
            arf_randtest_special(a, state, 3000, 100);
            arf_randtest_special(b, state, 3000, 100);
            arf_randtest_special(c, state, 3000, 100);
            arf_randtest_special(d, state, 3000, 100);
            prec = 2 + n_randint(state, 3000);

            switch (n_randint(state, 4))
            {
                case 0:  rnd = ARF_RND_DOWN; break;
                case 1:  rnd = ARF_RND_UP; break;
                case 2:  rnd = ARF_RND_FLOOR; break;
                default: rnd = ARF_RND_CEIL; break;
            }

            switch (n_randint(state, 5))
            {
            case 0:
                r1 = arf_complex_mul(e1, f1, a, b, c, d, prec, rnd);
                r2 = arf_complex_mul_fallback(e2, f2, a, b, c, d, prec, rnd);
                if (!arf_equal(e1, e2) || !arf_equal(f1, f2) || r1 != r2)
                {
                    printf("FAIL!\n");
                    printf("prec = %ld, rnd = %d\n\n", prec, rnd);
                    printf("a = "); arf_print(a); printf("\n\n");
                    printf("b = "); arf_print(b); printf("\n\n");
                    printf("c = "); arf_print(c); printf("\n\n");
                    printf("d = "); arf_print(d); printf("\n\n");
                    printf("e1 = "); arf_print(e1); printf("\n\n");
                    printf("f1 = "); arf_print(f1); printf("\n\n");
                    printf("e2 = "); arf_print(e2); printf("\n\n");
                    printf("f2 = "); arf_print(f2); printf("\n\n");
                    printf("r1 = %ld, r2 = %ld\n", r1, r2);
                    abort();
                }
                break;

            case 1:
                arf_set(c, a);
                arf_set(d, b);
                r1 = arf_complex_mul(e1, f1, a, b, a, b, prec, rnd);
                r2 = arf_complex_mul_fallback(e2, f2, a, b, c, d, prec, rnd);
                if (!arf_equal(e1, e2) || !arf_equal(f1, f2) || r1 != r2)
                {
                    printf("FAIL! (aliasing 1)\n");
                    printf("prec = %ld, rnd = %d\n\n", prec, rnd);
                    printf("a = "); arf_print(a); printf("\n\n");
                    printf("b = "); arf_print(b); printf("\n\n");
                    printf("c = "); arf_print(c); printf("\n\n");
                    printf("d = "); arf_print(d); printf("\n\n");
                    printf("e1 = "); arf_print(e1); printf("\n\n");
                    printf("f1 = "); arf_print(f1); printf("\n\n");
                    printf("e2 = "); arf_print(e2); printf("\n\n");
                    printf("f2 = "); arf_print(f2); printf("\n\n");
                    printf("r1 = %ld, r2 = %ld\n", r1, r2);
                    abort();
                }
                break;

            case 2:
                r1 = arf_complex_mul_fallback(e1, f1, a, b, a, b, prec, rnd);
                r2 = arf_complex_mul(a, b, a, b, a, b, prec, rnd);
                if (!arf_equal(e1, a) || !arf_equal(f1, b) || r1 != r2)
                {
                    printf("FAIL! (aliasing 2)\n");
                    printf("prec = %ld, rnd = %d\n\n", prec, rnd);
                    printf("a = "); arf_print(a); printf("\n\n");
                    printf("b = "); arf_print(b); printf("\n\n");
                    printf("e1 = "); arf_print(e1); printf("\n\n");
                    printf("f1 = "); arf_print(f1); printf("\n\n");
                    printf("r1 = %ld, r2 = %ld\n", r1, r2);
                    abort();
                }
                break;

            case 3:
                r1 = arf_complex_mul_fallback(e1, f1, a, b, c, d, prec, rnd);
                r2 = arf_complex_mul(a, b, a, b, c, d, prec, rnd);

                if (!arf_equal(e1, a) || !arf_equal(f1, b) || r1 != r2)
                {
                    printf("FAIL! (aliasing 3)\n");
                    printf("prec = %ld, rnd = %d\n\n", prec, rnd);
                    printf("a = "); arf_print(a); printf("\n\n");
                    printf("b = "); arf_print(b); printf("\n\n");
                    printf("c = "); arf_print(c); printf("\n\n");
                    printf("d = "); arf_print(d); printf("\n\n");
                    printf("e1 = "); arf_print(e1); printf("\n\n");
                    printf("f1 = "); arf_print(f1); printf("\n\n");
                    printf("r1 = %ld, r2 = %ld\n", r1, r2);
                    abort();
                }
                break;

            default:
                r1 = arf_complex_mul_fallback(e1, f1, a, b, c, d, prec, rnd);
                r2 = arf_complex_mul(c, d, a, b, c, d, prec, rnd);

                if (!arf_equal(e1, c) || !arf_equal(f1, d) || r1 != r2)
                {
                    printf("FAIL! (aliasing 4)\n");
                    printf("prec = %ld, rnd = %d\n\n", prec, rnd);
                    printf("a = "); arf_print(a); printf("\n\n");
                    printf("b = "); arf_print(b); printf("\n\n");
                    printf("c = "); arf_print(c); printf("\n\n");
                    printf("d = "); arf_print(d); printf("\n\n");
                    printf("e1 = "); arf_print(e1); printf("\n\n");
                    printf("f1 = "); arf_print(f1); printf("\n\n");
                    printf("r1 = %ld, r2 = %ld\n", r1, r2);
                    abort();
                }
                break;
            }
        }

        arf_clear(a);
        arf_clear(b);
        arf_clear(c);
        arf_clear(d);
        arf_clear(e1);
        arf_clear(f1);
        arf_clear(e2);
        arf_clear(f2);
    }

    flint_randclear(state);
    flint_cleanup();
    printf("PASS\n");
    return EXIT_SUCCESS;
}
Beispiel #17
0
int main()
{
    slong iter, iter2;
    flint_rand_t state;

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

    flint_randinit(state);

    for (iter = 0; iter < 1000 * arb_test_multiplier(); iter++)
    {
        arf_t x, z, v;
        slong y;
        slong prec, r1, r2;
        arf_rnd_t rnd;

        arf_init(x);
        arf_init(z);
        arf_init(v);

        for (iter2 = 0; iter2 < 100; iter2++)
        {
            arf_randtest_special(x, state, 2000, 100);
            y = z_randtest(state);
            arf_randtest_special(z, state, 2000, 100);
            arf_set(v, z);

            prec = 2 + n_randint(state, 2000);

            if (n_randint(state, 10) == 0 &&
                fmpz_bits(ARF_EXPREF(x)) < 10 &&
                fmpz_bits(ARF_EXPREF(z)) < 10)
            {
                prec = ARF_PREC_EXACT;
            }

            switch (n_randint(state, 5))
            {
                case 0:  rnd = ARF_RND_DOWN; break;
                case 1:  rnd = ARF_RND_UP; break;
                case 2:  rnd = ARF_RND_FLOOR; break;
                case 3:  rnd = ARF_RND_CEIL; break;
                default: rnd = ARF_RND_NEAR; break;
            }

            switch (n_randint(state, 2))
            {
            case 0:
                r1 = arf_addmul_si(z, x, y, prec, rnd);
                r2 = arf_addmul_si_naive(v, x, y, prec, rnd);
                if (!arf_equal(z, v) || r1 != r2)
                {
                    flint_printf("FAIL!\n");
                    flint_printf("prec = %wd, rnd = %d\n\n", prec, rnd);
                    flint_printf("x = "); arf_print(x); flint_printf("\n\n");
                    flint_printf("y = %wd", y); flint_printf("\n\n");
                    flint_printf("z = "); arf_debug(z); flint_printf("\n\n");
                    flint_printf("v = "); arf_debug(v); flint_printf("\n\n");
                    flint_printf("r1 = %wd, r2 = %wd\n", r1, r2);
                    abort();
                }
                break;

            default:
                r2 = arf_addmul_si_naive(v, v, y, prec, rnd);
                r1 = arf_addmul_si(z, z, y, prec, rnd);
                if (!arf_equal(v, z) || r1 != r2)
                {
                    flint_printf("FAIL (aliasing)!\n");
                    flint_printf("prec = %wd, rnd = %d\n\n", prec, rnd);
                    flint_printf("y = %wd", y); flint_printf("\n\n");
                    flint_printf("v = "); arf_print(v); flint_printf("\n\n");
                    flint_printf("z = "); arf_print(z); flint_printf("\n\n");
                    flint_printf("r1 = %wd, r2 = %wd\n", r1, r2);
                    abort();
                }
                break;
            }
        }

        arf_clear(x);
        arf_clear(z);
        arf_clear(v);
    }

    flint_randclear(state);
    flint_cleanup();
    flint_printf("PASS\n");
    return EXIT_SUCCESS;
}
Beispiel #18
0
int main()
{
    slong iter;
    flint_rand_t state;

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

    flint_randinit(state);

    {
        arf_t x, y;

        arf_init(x);
        arf_init(y);

        for (iter = 0; iter < 100000 * arb_test_multiplier(); iter++)
        {
            slong bits1, bits2;
            int ret1, ret2;
            fmpz_t a;
            mpz_t b;
            mpfr_t g;
            arf_rnd_t rnd;

            bits1 = 1 + n_randint(state, 1000);
            bits2 = 2 + n_randint(state, 1000);

            if (n_randint(state, 100) == 0)
                bits2 = ARF_PREC_EXACT;

            fmpz_init(a);
            mpz_init(b);
            mpfr_init2(g, FLINT_MIN(bits2, 10000));

            if (n_randint(state, 100) == 0)
            {
                arf_clear(x);
                arf_clear(y);
                arf_init(x);
                arf_init(y);
            }

            /* dirty output variables */
            if (n_randint(state, 2))
            {
                arf_randtest_special(x, state, 1 + n_randint(state, 1000),
                    1 + n_randint(state, 100));
                arf_randtest_special(y, state, 1 + n_randint(state, 1000),
                    1 + n_randint(state, 100));
            }

            fmpz_randtest(a, state, bits1);
            fmpz_get_mpz(b, a);

            switch (n_randint(state, 5))
            {
                case 0: rnd = ARF_RND_DOWN; break;
                case 1: rnd = ARF_RND_UP; break;
                case 2: rnd = ARF_RND_FLOOR; break;
                case 3: rnd = ARF_RND_CEIL; break;
                default: rnd = ARF_RND_NEAR; break;
            }

            ret1 = arf_set_round_mpz(x, b, bits2, rnd);
            ret2 = mpfr_set_z(g, b, arf_rnd_to_mpfr(rnd));
            arf_set_mpfr(y, g);
            arf_equal(x, y);

            if (!arf_equal(x, y) || ((ret1 == ARF_RESULT_EXACT) != (ret2 == 0)))
            {
                flint_printf("FAIL\n\n");
                flint_printf("bits1: %wd\n", bits1);
                flint_printf("bits2: %wd\n", bits2);
                flint_printf("a = "); fmpz_print(a); flint_printf("\n\n");
                flint_printf("x = "); arf_print(x); flint_printf("\n\n");
                flint_printf("y = "); arf_print(y); flint_printf("\n\n");
                flint_printf("ret1 = %d, ret2 = %d\n\n", ret1, ret2);
                abort();
            }

            fmpz_clear(a);
            mpz_clear(b);
            mpfr_clear(g);
        }

        arf_clear(x);
        arf_clear(y);
    }

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