示例#1
0
void
_fmprb_get_rand_fmpq(fmpz_t num, fmpz_t den, flint_rand_t state,
    const fmpz_t den_mult, const fmprb_t x)
{
    fmpz_t a, b, exp;

    fmpz_init(a);
    fmpz_init(b);
    fmpz_init(exp);

    fmprb_get_interval_fmpz_2exp(a, b, exp, x);

    if (COEFF_IS_MPZ(*exp))
    {
        printf("exception: fmprb_get_rand_fmpq: too large exponent\n");
        abort();
    }

    if (*exp >= 0)
    {
        fmpz_mul_2exp(a, a, *exp);
        fmpz_mul_2exp(b, b, *exp);
    }

    /* generate random integer in [a*den, b*den] */
    fmpz_mul(a, a, den_mult);
    fmpz_mul(b, b, den_mult);
    fmpz_add_ui(b, b, 1UL);
    fmpz_sub(b, b, a);

    /* return one endpoint with high probability (used for stress
       testing rounding) */
    if (n_randint(state, 6) == 0)
    {
        if (n_randint(state, 2))
            fmpz_zero(num);
        else
            fmpz_sub_ui(num, b, 1UL);
    }
    else
    {
        fmpz_randtest_mod(num, state, b);
    }

    fmpz_add(num, num, a);

    fmpz_set(den, den_mult);

    if (*exp < 0)
        fmpz_mul_2exp(den, den, -(*exp));

    fmpz_clear(a);
    fmpz_clear(b);
    fmpz_clear(exp);
}
示例#2
0
void
fmpz_randtest_mod_signed(fmpz_t f, flint_rand_t state, const fmpz_t m)
{
    /* Randomly generate m/2 when included in the range */
    if ((n_randlimb(state) % 32 == 1) && (fmpz_fdiv_ui(m, 2) == 0))
    {
        fmpz_fdiv_q_ui(f, m, UWORD(2));
    }
    else
    {
        fmpz_t t;
        fmpz_init(t);
        fmpz_tdiv_q_ui(t, m, UWORD(2));
        fmpz_randtest_mod(t, state, t);
        if (n_randlimb(state) & UWORD(1))
        {
            fmpz_neg(t, t);
        }
        fmpz_set(f, t);
        fmpz_clear(t);
    }
}
示例#3
0
int main()
{
    long i, j;
    int sign;

    fmpz_t input;
    fmpz_t result;
    fmpz_t r1;
    fmpz_t m1;
    fmpz_t mprod;
    ulong r2, m2;

    flint_rand_t state;

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

    fmpz_init(input);
    fmpz_init(result);
    fmpz_init(r1);
    fmpz_init(m1);
    fmpz_init(mprod);
    flint_randinit(state);

    for (i = 0; i < 10000; i++)
    {
        long nprimes;

        m2 = n_randtest_prime(state, 0);
        nprimes = 1 + n_randint(state, 4);

        fmpz_set_ui(m1, 1UL);
        for (j = 0; j < nprimes; )
        {
            ulong t = n_randtest_prime(state, 0);
            if (t != m2)
            {
                fmpz_mul_ui(m1, m1, t);
                j++;
            }
        }

        fmpz_mul_ui(mprod, m1, m2);

        sign = n_randint(state, 2);

        if (sign)
            fmpz_randtest_mod_signed(input, state, mprod);
        else
            fmpz_randtest_mod(input, state, mprod);

        fmpz_mod(r1, input, m1);
        r2 = fmpz_fdiv_ui(input, m2);

        if (sign)
            fmpz_CRT_ui(result, r1, m1, r2, m2);
        else
            fmpz_CRT_ui_unsigned(result, r1, m1, r2, m2);

        if (!fmpz_equal(result, input))
        {
            printf("FAIL:\n");
            printf("m1: "); fmpz_print(m1); printf("\n");
            printf("m2: %lu\n", m2);
            printf("m1*m2: "); fmpz_print(mprod); printf("\n");
            printf("input: "); fmpz_print(input); printf("\n");
            printf("r1: "); fmpz_print(r1); printf("\n");
            printf("r2: %lu\n", r2);
            printf("result: "); fmpz_print(result); printf("\n");
            printf("%ld Equalness: %d\n", i, fmpz_equal(result, input));
            printf("\n");
            abort();
        }
    }

    fmpz_clear(input);
    fmpz_clear(result);
    fmpz_clear(r1);
    fmpz_clear(m1);
    fmpz_clear(mprod);
    flint_randclear(state);

    _fmpz_cleanup();

    printf("PASS\n");
    return 0;
}
示例#4
0
int main()
{
    slong i, j;
    int sign;

    fmpz_t input;
    fmpz_t result;
    fmpz_t r1;
    fmpz_t m1;
    fmpz_t mprod;
    ulong r2, m2;

    FLINT_TEST_INIT(state);

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

    fmpz_init(input);
    fmpz_init(result);
    fmpz_init(r1);
    fmpz_init(m1);
    fmpz_init(mprod);
    

    for (i = 0; i < 1000 * flint_test_multiplier(); i++)
    {
        slong nprimes;

        m2 = n_randtest_prime(state, 0);
        nprimes = 1 + n_randint(state, 4);

        fmpz_set_ui(m1, UWORD(1));
        for (j = 0; j < nprimes; )
        {
            ulong t = n_randtest_prime(state, 0);
            if (t != m2)
            {
                fmpz_mul_ui(m1, m1, t);
                j++;
            }
        }

        fmpz_mul_ui(mprod, m1, m2);

        sign = n_randint(state, 2);

        if (sign)
            fmpz_randtest_mod_signed(input, state, mprod);
        else
            fmpz_randtest_mod(input, state, mprod);

        fmpz_mod(r1, input, m1);
        r2 = fmpz_fdiv_ui(input, m2);

        fmpz_CRT_ui(result, r1, m1, r2, m2, sign);

        if (!fmpz_equal(result, input))
        {
            flint_printf("FAIL:\n");
            flint_printf("m1: "); fmpz_print(m1); flint_printf("\n");
            flint_printf("m2: %wu\n", m2);
            flint_printf("m1*m2: "); fmpz_print(mprod); flint_printf("\n");
            flint_printf("input: "); fmpz_print(input); flint_printf("\n");
            flint_printf("r1: "); fmpz_print(r1); flint_printf("\n");
            flint_printf("r2: %wu\n", r2);
            flint_printf("result: "); fmpz_print(result); flint_printf("\n");
            flint_printf("%wd Equalness: %d\n", i, fmpz_equal(result, input));
            flint_printf("\n");
            abort();
        }
    }

    fmpz_clear(input);
    fmpz_clear(result);
    fmpz_clear(r1);
    fmpz_clear(m1);
    fmpz_clear(mprod);
    

    FLINT_TEST_CLEANUP(state);

    flint_printf("PASS\n");
    return 0;
}