malachite-nz 0.3.2

use malachite_base::num::arithmetic::traits::{DivisibleBy, EqMod};
use malachite_base::num::basic::integers::PrimitiveInt;
use malachite_base::num::basic::traits::{One, Zero};
use malachite_base::num::conversion::traits::ExactFrom;
use malachite_base::test_util::generators::common::GenConfig;
use malachite_base::test_util::generators::{
    unsigned_triple_gen_var_19, unsigned_triple_gen_var_21, unsigned_vec_triple_gen_var_36,
    unsigned_vec_unsigned_unsigned_triple_gen_var_10,
    unsigned_vec_unsigned_unsigned_triple_gen_var_7,
    unsigned_vec_unsigned_vec_unsigned_triple_gen_var_6,
};
use malachite_nz::integer::Integer;
use malachite_nz::natural::arithmetic::eq_mod::{
    limbs_eq_limb_mod, limbs_eq_limb_mod_limb, limbs_eq_limb_mod_ref_ref,
    limbs_eq_limb_mod_ref_val, limbs_eq_limb_mod_val_ref, limbs_eq_mod_limb_ref_ref,
    limbs_eq_mod_limb_ref_val, limbs_eq_mod_limb_val_ref, limbs_eq_mod_ref_ref_ref,
    limbs_eq_mod_ref_ref_val, limbs_eq_mod_ref_val_ref, limbs_eq_mod_ref_val_val,
    limbs_limb_mod_exact_odd_limb, limbs_mod_exact_odd_limb,
};
use malachite_nz::natural::arithmetic::mod_op::limbs_mod_limb;
use malachite_nz::natural::Natural;
use malachite_nz::platform::Limb;
use malachite_nz::test_util::generators::{
    natural_pair_gen, natural_triple_gen, natural_triple_gen_var_1, natural_triple_gen_var_2,
    unsigned_vec_triple_gen_var_54, unsigned_vec_triple_gen_var_55,
    unsigned_vec_unsigned_unsigned_triple_gen_var_11,
    unsigned_vec_unsigned_unsigned_triple_gen_var_12,
    unsigned_vec_unsigned_unsigned_vec_triple_gen_var_4,
    unsigned_vec_unsigned_unsigned_vec_triple_gen_var_5,
    unsigned_vec_unsigned_vec_unsigned_triple_gen_var_15,
    unsigned_vec_unsigned_vec_unsigned_triple_gen_var_16,
};
use malachite_nz::test_util::natural::arithmetic::eq_mod::{
    combined_limbs_eq_limb_mod_limb, limbs_eq_limb_mod_naive_1, limbs_eq_limb_mod_naive_2,
    limbs_eq_mod_limb_naive_1, limbs_eq_mod_limb_naive_2, limbs_eq_mod_naive_1,
    limbs_eq_mod_naive_2,
};
use std::str::FromStr;

#[cfg(feature = "32_bit_limbs")]
#[test]
fn test_limbs_eq_limb_mod_limb() {
    let test = |xs: &[Limb], y: Limb, m: Limb, equal: bool| {
        assert_eq!(limbs_eq_limb_mod_limb(xs, y, m), equal);
        assert_eq!(limbs_mod_limb(xs, m) == y % m, equal);
        assert_eq!(combined_limbs_eq_limb_mod_limb(xs, y, m), equal);
    };
    test(&[6, 7], 4, 2, true);
    test(&[7, 7], 4, 2, false);
    test(&[6, 7], 3, 2, false);
    test(&[7, 7], 3, 2, true);
    test(&[2, 2], 7, 13, true);
    test(&[100, 101, 102], 1238, 10, true);
    test(&[100, 101, 102], 1239, 10, false);
    test(&[123, 456], 636, 789, true);
    test(&[123, 456], 1000, 789, false);
    test(&[u32::MAX, u32::MAX], 101, 2, true);
    test(&[u32::MAX, u32::MAX], 100, 2, false);
    test(&[u32::MAX, u32::MAX], 120, 3, true);
    test(&[u32::MAX, u32::MAX], 110, 3, false);
    test(
        &[
            957355272, 2717966866, 2284391330, 238149753, 3607703304, 23463007, 1388955612,
            3269479240, 881285075, 2493741919, 360635652, 2851492229, 3590429614, 2528168680,
            215334077, 3509222230, 1825157855, 3737409852, 4151389929, 2692167062, 1409227805,
            2060445344, 1453537438, 3186146035, 1159656442, 954576963, 2935313630, 2288694644,
            400433986, 3182217800, 3929694465, 3346806449, 131165877,
        ],
        1529684314,
        1469269654,
        false,
    );
    test(
        &[
            u32::MAX,
            u32::MAX,
            u32::MAX,
            u32::MAX,
            u32::MAX,
            u32::MAX,
            u32::MAX,
            511,
            0,
            0,
            0,
            4227858432,
            u32::MAX,
            u32::MAX,
            u32::MAX,
            u32::MAX,
            u32::MAX,
            511,
            0,
            0,
            0,
            3221225472,
            63,
            0,
            0,
            0,
            0,
            0,
            0,
            0,
            4294443008,
            u32::MAX,
            u32::MAX,
            u32::MAX,
            u32::MAX,
            u32::MAX,
            u32::MAX,
            u32::MAX,
            u32::MAX,
            u32::MAX,
            u32::MAX,
        ],
        0xfffff000,
        u32::MAX,
        false,
    );
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_eq_limb_mod_limb_fail_1() {
    limbs_eq_limb_mod_limb(&[10], 10, 15);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_eq_limb_mod_limb_fail_2() {
    limbs_eq_limb_mod_limb(&[6, 7], 4, 0);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
fn test_limbs_eq_limb_mod() {
    let test = |xs: &[Limb], y: Limb, ms: &[Limb], equal: bool| {
        let mut mut_xs = xs.to_vec();
        let mut mut_ms = ms.to_vec();
        assert_eq!(limbs_eq_limb_mod(&mut mut_xs, y, &mut mut_ms), equal);
        let mut mut_xs = xs.to_vec();
        assert_eq!(limbs_eq_limb_mod_val_ref(&mut mut_xs, y, ms), equal);
        let mut mut_ms = ms.to_vec();
        assert_eq!(limbs_eq_limb_mod_ref_val(xs, y, &mut mut_ms), equal);
        assert_eq!(limbs_eq_limb_mod_ref_ref(xs, y, ms), equal);
        assert_eq!(limbs_eq_limb_mod_naive_1(xs, y, ms), equal);
        assert_eq!(limbs_eq_limb_mod_naive_2(xs, y, ms), equal);
    };
    // xs[0].eq_mod_power_of_2(y, u64::from(m_trailing_zeros))
    // m_len != 2 || m_0 == 0
    test(&[1, 1], 1, &[0, 1], true);
    // m_len == 2 && m_0 != 0
    // m_1 < 1 << m_trailing_zeros
    // x_len < BMOD_1_TO_MOD_1_THRESHOLD
    test(&[0, 1], 2, &[2, 1], false);
    // x_len >= BMOD_1_TO_MOD_1_THRESHOLD
    // y_0 < m_0
    test(&[6; 40], 2, &[2, 1], false);
    // y_0 >= m_0
    test(&[6; 40], 0x80000002, &[2, 1], false);
    // !xs[0].eq_mod_power_of_2(y, u64::from(m_trailing_zeros))
    test(&[0, 1], 1, &[0, 1], false);
    // m_1 >= 1 << m_trailing_zeros
    test(&[0, 1], 1, &[1, 1], false);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_eq_limb_mod_fail_1() {
    limbs_eq_limb_mod(&mut [1], 1, &mut [0, 1]);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_eq_limb_mod_fail_2() {
    limbs_eq_limb_mod(&mut [1, 1], 1, &mut [1]);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_eq_limb_mod_fail_3() {
    limbs_eq_limb_mod(&mut [1, 0], 1, &mut [0, 1]);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_eq_limb_mod_fail_4() {
    limbs_eq_limb_mod(&mut [1, 1], 0, &mut [0, 1]);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_eq_limb_mod_fail_5() {
    limbs_eq_limb_mod(&mut [1, 1], 1, &mut [1, 0]);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_eq_limb_mod_val_ref_fail_1() {
    limbs_eq_limb_mod_val_ref(&mut [1], 1, &[0, 1]);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_eq_limb_mod_val_ref_fail_2() {
    limbs_eq_limb_mod_val_ref(&mut [1, 1], 1, &[1]);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_eq_limb_mod_val_ref_fail_3() {
    limbs_eq_limb_mod_val_ref(&mut [1, 0], 1, &[0, 1]);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_eq_limb_mod_val_ref_fail_4() {
    limbs_eq_limb_mod_val_ref(&mut [1, 1], 0, &[0, 1]);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_eq_limb_mod_val_ref_fail_5() {
    limbs_eq_limb_mod_val_ref(&mut [1, 1], 1, &[1, 0]);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_eq_limb_mod_ref_val_fail_1() {
    limbs_eq_limb_mod_ref_val(&[1], 1, &mut [0, 1]);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_eq_limb_mod_ref_val_fail_2() {
    limbs_eq_limb_mod_ref_val(&[1, 1], 1, &mut [1]);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_eq_limb_mod_ref_val_fail_3() {
    limbs_eq_limb_mod_ref_val(&[1, 0], 1, &mut [0, 1]);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_eq_limb_mod_ref_val_fail_4() {
    limbs_eq_limb_mod_ref_val(&[1, 1], 0, &mut [0, 1]);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_eq_limb_mod_ref_val_fail_5() {
    limbs_eq_limb_mod_ref_val(&[1, 1], 1, &mut [1, 0]);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_eq_limb_mod_ref_ref_fail_1() {
    limbs_eq_limb_mod_ref_ref(&[1], 1, &[0, 1]);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_eq_limb_mod_ref_ref_fail_2() {
    limbs_eq_limb_mod_ref_ref(&[1, 1], 1, &[1]);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_eq_limb_mod_ref_ref_fail_3() {
    limbs_eq_limb_mod_ref_ref(&[1, 0], 1, &[0, 1]);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_eq_limb_mod_ref_ref_fail_4() {
    limbs_eq_limb_mod_ref_ref(&[1, 1], 0, &[0, 1]);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_eq_limb_mod_ref_ref_fail_5() {
    limbs_eq_limb_mod_ref_ref(&[1, 1], 1, &[1, 0]);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
fn test_limbs_eq_mod_limb() {
    let test = |xs: &[Limb], ys: &[Limb], m: Limb, equal: bool| {
        let mut mut_xs = xs.to_vec();
        assert_eq!(limbs_eq_mod_limb_val_ref(&mut mut_xs, ys, m), equal);
        let mut mut_ys = ys.to_vec();
        assert_eq!(limbs_eq_mod_limb_ref_val(xs, &mut mut_ys, m), equal);
        assert_eq!(limbs_eq_mod_limb_ref_ref(xs, ys, m), equal);
        assert_eq!(limbs_eq_mod_limb_naive_1(xs, ys, m), equal);
        assert_eq!(limbs_eq_mod_limb_naive_2(xs, ys, m), equal);
    };
    // xs != ys in limbs_eq_mod_limb_greater
    // xs[0].eq_mod_power_of_2(ys[0], u64::from(m.trailing_zeros())) in limbs_eq_mod_limb_greater
    // limbs_cmp(xs, ys) < Ordering::Equal in limbs_eq_mod_limb_greater
    // scratch.len() > 1 in limbs_eq_mod_limb_greater
    test(&[1, 1], &[3, 4], 5, true);
    // xs == ys in limbs_eq_mod_limb_greater
    test(&[0, 1], &[0, 1], 1, true);
    // limbs_cmp(xs, ys) >= Ordering::Equal in limbs_eq_mod_limb_greater
    test(&[0, 0, 1], &[0, 1], 1, true);
    // scratch.len() == 1 in limbs_eq_mod_limb_greater
    test(&[0, 1], &[1, 1], 1, true);
    // !xs[0].eq_mod_power_of_2(ys[0], u64::from(m.trailing_zeros())) in limbs_eq_mod_limb_greater
    test(&[0, 1], &[1, 1], 2, false);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_eq_mod_limb_val_ref_fail_1() {
    limbs_eq_mod_limb_val_ref(&mut [1], &[3, 4], 5);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_eq_mod_limb_val_ref_fail_2() {
    limbs_eq_mod_limb_val_ref(&mut [1, 1], &[4], 5);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_eq_mod_limb_val_ref_fail_3() {
    limbs_eq_mod_limb_val_ref(&mut [1, 0], &[3, 4], 5);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_eq_mod_limb_val_ref_fail_4() {
    limbs_eq_mod_limb_val_ref(&mut [1, 1], &[3, 0], 5);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_eq_mod_limb_val_ref_fail_5() {
    limbs_eq_mod_limb_val_ref(&mut [1, 1], &[3, 4], 0);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_eq_mod_limb_ref_val_fail_1() {
    limbs_eq_mod_limb_ref_val(&[1], &mut [3, 4], 5);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_eq_mod_limb_ref_val_fail_2() {
    limbs_eq_mod_limb_ref_val(&[1, 1], &mut [4], 5);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_eq_mod_limb_ref_val_fail_3() {
    limbs_eq_mod_limb_ref_val(&[1, 0], &mut [3, 4], 5);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_eq_mod_limb_ref_val_fail_4() {
    limbs_eq_mod_limb_ref_val(&[1, 1], &mut [3, 0], 5);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_eq_mod_limb_ref_val_fail_5() {
    limbs_eq_mod_limb_ref_val(&[1, 1], &mut [3, 4], 0);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_eq_mod_limb_ref_ref_fail_1() {
    limbs_eq_mod_limb_ref_ref(&[1], &[3, 4], 5);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_eq_mod_limb_ref_ref_fail_2() {
    limbs_eq_mod_limb_ref_ref(&[1, 1], &[4], 5);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_eq_mod_limb_ref_ref_fail_3() {
    limbs_eq_mod_limb_ref_ref(&[1, 0], &[3, 4], 5);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_eq_mod_limb_ref_ref_fail_4() {
    limbs_eq_mod_limb_ref_ref(&[1, 1], &[3, 0], 5);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_eq_mod_limb_ref_ref_fail_5() {
    limbs_eq_mod_limb_ref_ref(&[1, 1], &[3, 4], 0);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
fn test_limbs_eq_mod_ref_ref_ref() {
    let test = |xs: &[Limb], ys: &[Limb], ms: &[Limb], equal: bool| {
        let mut mut_ys = ys.to_vec();
        let mut mut_ms = ms.to_vec();
        assert_eq!(
            limbs_eq_mod_ref_val_val(xs, &mut mut_ys, &mut mut_ms),
            equal
        );
        let mut mut_ys = ys.to_vec();
        assert_eq!(limbs_eq_mod_ref_val_ref(xs, &mut mut_ys, ms), equal);
        let mut mut_ms = ms.to_vec();
        assert_eq!(limbs_eq_mod_ref_ref_val(xs, ys, &mut mut_ms), equal);
        assert_eq!(limbs_eq_mod_ref_ref_ref(xs, ys, ms), equal);
        assert_eq!(limbs_eq_mod_naive_1(xs, ys, ms), equal);
        assert_eq!(limbs_eq_mod_naive_2(xs, ys, ms), equal);
    };
    // xs != ys in limbs_eq_mod_greater
    // xs[0].eq_mod_power_of_2(ys[0], u64::from(ms[0].trailing_zeros())) in limbs_eq_mod_greater
    // limbs_cmp(xs, ys) == Ordering::Less
    test(&[1, 1, 1], &[1, 0, 3], &[0, 7], true);
    // !xs[0].eq_mod_power_of_2(ys[0], u64::from(ms[0].trailing_zeros())) in limbs_eq_mod_greater
    test(&[0, 1, 1], &[1, 0, 3], &[0, 7], false);
    // limbs_cmp(xs, ys) >= Ordering::Equal
    test(&[1, 3], &[1, 1, 2], &[0, 5], true);
    // xs == ys in limbs_eq_mod_greater
    test(&[0, 1], &[0, 1], &[0, 1], true);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_eq_mod_ref_val_val_fail_1() {
    limbs_eq_mod_ref_val_val(&[1], &mut [1, 0, 3], &mut [0, 7]);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_eq_mod_ref_val_val_fail_2() {
    limbs_eq_mod_ref_val_val(&[1, 1, 1], &mut [1], &mut [0, 7]);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_eq_mod_ref_val_val_fail_3() {
    limbs_eq_mod_ref_val_val(&[1, 1, 1], &mut [1, 0, 3], &mut [7]);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_eq_mod_ref_val_val_fail_4() {
    limbs_eq_mod_ref_val_val(&[1, 1, 0], &mut [1, 0, 3], &mut [0, 7]);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_eq_mod_ref_val_val_fail_5() {
    limbs_eq_mod_ref_val_val(&[1, 1, 1], &mut [1, 0, 0], &mut [0, 7]);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_eq_mod_ref_val_val_fail_6() {
    limbs_eq_mod_ref_val_val(&[1, 1, 1], &mut [1, 0, 3], &mut [7, 0]);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_eq_mod_ref_val_ref_fail_1() {
    limbs_eq_mod_ref_val_ref(&[1], &mut [1, 0, 3], &[0, 7]);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_eq_mod_ref_val_ref_fail_2() {
    limbs_eq_mod_ref_val_ref(&[1, 1, 1], &mut [1], &[0, 7]);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_eq_mod_ref_val_ref_fail_3() {
    limbs_eq_mod_ref_val_ref(&[1, 1, 1], &mut [1, 0, 3], &[7]);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_eq_mod_ref_val_ref_fail_4() {
    limbs_eq_mod_ref_val_ref(&[1, 1, 0], &mut [1, 0, 3], &[0, 7]);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_eq_mod_ref_val_ref_fail_5() {
    limbs_eq_mod_ref_val_ref(&[1, 1, 1], &mut [1, 0, 0], &[0, 7]);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_eq_mod_ref_val_ref_fail_6() {
    limbs_eq_mod_ref_val_ref(&[1, 1, 1], &mut [1, 0, 3], &[7, 0]);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_eq_mod_ref_ref_val_fail_1() {
    limbs_eq_mod_ref_ref_val(&[1], &[1, 0, 3], &mut [0, 7]);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_eq_mod_ref_ref_val_fail_2() {
    limbs_eq_mod_ref_ref_val(&[1, 1, 1], &[1], &mut [0, 7]);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_eq_mod_ref_ref_val_fail_3() {
    limbs_eq_mod_ref_ref_val(&[1, 1, 1], &[1, 0, 3], &mut [7]);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_eq_mod_ref_ref_val_fail_4() {
    limbs_eq_mod_ref_ref_val(&[1, 1, 0], &[1, 0, 3], &mut [0, 7]);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_eq_mod_ref_ref_val_fail_5() {
    limbs_eq_mod_ref_ref_val(&[1, 1, 1], &[1, 0, 0], &mut [0, 7]);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_eq_mod_ref_ref_val_fail_6() {
    limbs_eq_mod_ref_ref_val(&[1, 1, 1], &[1, 0, 3], &mut [7, 0]);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_eq_mod_ref_ref_ref_fail_1() {
    limbs_eq_mod_ref_ref_ref(&[1], &[1, 0, 3], &[0, 7]);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_eq_mod_ref_ref_ref_fail_2() {
    limbs_eq_mod_ref_ref_ref(&[1, 1, 1], &[1], &[0, 7]);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_eq_mod_ref_ref_ref_fail_3() {
    limbs_eq_mod_ref_ref_ref(&[1, 1, 1], &[1, 0, 3], &[7]);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_eq_mod_ref_ref_ref_fail_4() {
    limbs_eq_mod_ref_ref_ref(&[1, 1, 0], &[1, 0, 3], &[0, 7]);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_eq_mod_ref_ref_ref_fail_5() {
    limbs_eq_mod_ref_ref_ref(&[1, 1, 1], &[1, 0, 0], &[0, 7]);
}

#[cfg(feature = "32_bit_limbs")]
#[test]
#[should_panic]
fn limbs_eq_mod_ref_ref_ref_fail_6() {
    limbs_eq_mod_ref_ref_ref(&[1, 1, 1], &[1, 0, 3], &[7, 0]);
}

#[test]
fn test_eq_mod() {
    let test = |r, s, t, out| {
        let x = Natural::from_str(r).unwrap();
        let y = Natural::from_str(s).unwrap();
        let m = Natural::from_str(t).unwrap();

        assert_eq!(x.clone().eq_mod(y.clone(), m.clone()), out);
        assert_eq!(x.clone().eq_mod(y.clone(), &m), out);
        assert_eq!(x.clone().eq_mod(&y, m.clone()), out);
        assert_eq!(x.clone().eq_mod(&y, &m), out);
        assert_eq!((&x).eq_mod(y.clone(), m.clone()), out);
        assert_eq!((&x).eq_mod(y.clone(), &m), out);
        assert_eq!((&x).eq_mod(&y, m.clone()), out);
        assert_eq!((&x).eq_mod(&y, &m), out);

        assert_eq!(y.eq_mod(x, m), out);
        assert_eq!(
            rug::Integer::from_str(r).unwrap().is_congruent(
                &rug::Integer::from_str(s).unwrap(),
                &rug::Integer::from_str(t).unwrap()
            ),
            out
        );
    };
    test("0", "0", "0", true);
    test("0", "1", "0", false);
    test("57", "57", "0", true);
    test("57", "58", "0", false);
    test("1000000000000", "57", "0", false);
    test("0", "256", "256", true);
    test("0", "256", "512", false);
    test("13", "23", "10", true);
    test("13", "24", "10", false);
    test("13", "21", "1", true);
    test("13", "21", "2", true);
    test("13", "21", "4", true);
    test("13", "21", "8", true);
    test("13", "21", "16", false);
    test("13", "21", "3", false);
    test("1000000000001", "1", "4096", true);
    test("1000000000001", "1", "8192", false);
    test("12345678987654321", "321", "1000", true);
    test("12345678987654321", "322", "1000", false);
    test("1234", "1234", "1000000000000", true);
    test("1234", "1235", "1000000000000", false);
    test("1000000001234", "1000000002234", "1000", true);
    test("1000000001234", "1000000002235", "1000", false);
    test("1000000001234", "1234", "1000000000000", true);
    test("1000000001234", "1235", "1000000000000", false);
    test("1000000001234", "5000000001234", "1000000000000", true);
    test("1000000001234", "5000000001235", "1000000000000", false);
}

#[test]
fn limbs_limb_mod_exact_odd_limb_properties() {
    let mut config = GenConfig::new();
    config.insert("mean_length_n", 32);
    config.insert("mean_stripe_n", 16 << Limb::LOG_WIDTH);
    unsigned_triple_gen_var_21().test_properties_with_config(&config, |(n, d, carry)| {
        let r = Natural::from(limbs_limb_mod_exact_odd_limb(n, d, carry));
        assert_eq!(n.eq_mod(carry, d), r == 0);
        assert!(r <= d);
        if carry < d {
            assert!(r < d);
        }
        let a = Natural::from(n);
        let d = Natural::from(d);
        let carry = Natural::from(carry);
        assert!(((&r << Limb::WIDTH) + &a).eq_mod(&carry, &d) || (r + a).eq_mod(carry, d));
    });
}

#[test]
fn limbs_mod_exact_odd_limb_properties() {
    let mut config = GenConfig::new();
    config.insert("mean_length_n", 32);
    config.insert("mean_stripe_n", 16 << Limb::LOG_WIDTH);
    unsigned_vec_unsigned_unsigned_triple_gen_var_10().test_properties_with_config(
        &config,
        |(ns, d, carry)| {
            let r = Natural::from(limbs_mod_exact_odd_limb(&ns, d, carry));
            assert!(r <= d);
            if carry < d {
                assert!(r < d);
            }
            let ns_len = u64::exact_from(ns.len());
            let a = Natural::from_owned_limbs_asc(ns);
            let d = Natural::from(d);
            let carry = Natural::from(carry);
            assert_eq!((&a).eq_mod(&carry, &d), r == 0 || r == d);
            let p_1 = &r << (ns_len * Limb::WIDTH);
            let p_2 = r << ((ns_len - 1) * Limb::WIDTH);
            assert!((p_1 + &a).eq_mod(&carry, &d) || (p_2 + a).eq_mod(carry, d));
        },
    );
}

#[test]
fn limbs_eq_limb_mod_limb_properties() {
    let mut config = GenConfig::new();
    config.insert("mean_length_n", 32);
    config.insert("mean_stripe_n", 16 << Limb::LOG_WIDTH);
    unsigned_vec_unsigned_unsigned_triple_gen_var_7().test_properties_with_config(
        &config,
        |(xs, y, m)| {
            let equal = limbs_eq_limb_mod_limb(&xs, y, m);
            assert_eq!(
                Natural::from_limbs_asc(&xs).eq_mod(Natural::from(y), Natural::from(m)),
                equal
            );
            assert_eq!(limbs_mod_limb(&xs, m) == y % m, equal);
            assert_eq!(combined_limbs_eq_limb_mod_limb(&xs, y, m), equal);
        },
    );

    unsigned_vec_unsigned_unsigned_triple_gen_var_11().test_properties_with_config(
        &config,
        |(xs, y, m)| {
            assert!(limbs_eq_limb_mod_limb(&xs, y, m));
            assert!(Natural::from_limbs_asc(&xs).eq_mod(Natural::from(y), Natural::from(m)));
            assert_eq!(limbs_mod_limb(&xs, m), y % m);
            assert!(combined_limbs_eq_limb_mod_limb(&xs, y, m));
        },
    );

    unsigned_vec_unsigned_unsigned_triple_gen_var_12().test_properties_with_config(
        &config,
        |(xs, y, m)| {
            assert!(!limbs_eq_limb_mod_limb(&xs, y, m));
            assert!(!Natural::from_limbs_asc(&xs).eq_mod(Natural::from(y), Natural::from(m)));
            assert_ne!(limbs_mod_limb(&xs, m), y % m);
            assert!(!combined_limbs_eq_limb_mod_limb(&xs, y, m));
        },
    );
}

#[test]
fn limbs_eq_limb_mod_properties() {
    let mut config = GenConfig::new();
    config.insert("mean_length_n", 32);
    config.insert("mean_stripe_n", 16 << Limb::LOG_WIDTH);
    unsigned_vec_unsigned_vec_unsigned_triple_gen_var_6().test_properties_with_config(
        &config,
        |(xs, ms, y)| {
            let equal = limbs_eq_limb_mod_ref_ref(&xs, y, &ms);
            let mut mut_xs = xs.clone();
            let mut mut_ms = ms.clone();
            assert_eq!(limbs_eq_limb_mod(&mut mut_xs, y, &mut mut_ms), equal);
            let mut mut_xs = xs.clone();
            assert_eq!(limbs_eq_limb_mod_val_ref(&mut mut_xs, y, &ms), equal);
            let mut mut_ms = ms.clone();
            assert_eq!(limbs_eq_limb_mod_ref_val(&xs, y, &mut mut_ms), equal);
            assert_eq!(
                Natural::from_limbs_asc(&xs).eq_mod(Natural::from(y), Natural::from_limbs_asc(&ms)),
                equal
            );
            assert_eq!(limbs_eq_limb_mod_naive_1(&xs, y, &ms), equal);
            assert_eq!(limbs_eq_limb_mod_naive_2(&xs, y, &ms), equal);
        },
    );

    unsigned_vec_unsigned_unsigned_vec_triple_gen_var_4().test_properties_with_config(
        &config,
        |(xs, y, ms)| {
            assert!(
                Natural::from_limbs_asc(&xs).eq_mod(Natural::from(y), Natural::from_limbs_asc(&ms))
            );
            assert!(limbs_eq_limb_mod_ref_ref(&xs, y, &ms));
            assert!(limbs_eq_limb_mod_naive_1(&xs, y, &ms));
            assert!(limbs_eq_limb_mod_naive_2(&xs, y, &ms));
        },
    );

    unsigned_vec_unsigned_unsigned_vec_triple_gen_var_5().test_properties_with_config(
        &config,
        |(xs, y, ms)| {
            assert!(!Natural::from_limbs_asc(&xs)
                .eq_mod(Natural::from(y), Natural::from_limbs_asc(&ms)));
            assert!(!limbs_eq_limb_mod_ref_ref(&xs, y, &ms));
            assert!(!limbs_eq_limb_mod_naive_1(&xs, y, &ms));
            assert!(!limbs_eq_limb_mod_naive_2(&xs, y, &ms));
        },
    );
}

#[test]
fn limbs_eq_mod_limb_properties() {
    let mut config = GenConfig::new();
    config.insert("mean_length_n", 32);
    config.insert("mean_stripe_n", 16 << Limb::LOG_WIDTH);
    unsigned_vec_unsigned_vec_unsigned_triple_gen_var_6().test_properties_with_config(
        &config,
        |(xs, ys, m)| {
            let equal = limbs_eq_mod_limb_ref_ref(&xs, &ys, m);
            let mut mut_xs = xs.clone();
            assert_eq!(limbs_eq_mod_limb_val_ref(&mut mut_xs, &ys, m), equal);
            let mut mut_ys = ys.clone();
            assert_eq!(limbs_eq_mod_limb_ref_val(&xs, &mut mut_ys, m), equal);
            assert_eq!(
                Natural::from_limbs_asc(&xs).eq_mod(Natural::from_limbs_asc(&ys), Natural::from(m)),
                equal
            );
            assert_eq!(limbs_eq_mod_limb_naive_1(&xs, &ys, m), equal);
            assert_eq!(limbs_eq_mod_limb_naive_2(&xs, &ys, m), equal);
        },
    );

    unsigned_vec_unsigned_vec_unsigned_triple_gen_var_15().test_properties_with_config(
        &config,
        |(xs, ys, m)| {
            assert!(
                Natural::from_limbs_asc(&xs).eq_mod(Natural::from_limbs_asc(&ys), Natural::from(m))
            );
            assert!(limbs_eq_mod_limb_ref_ref(&xs, &ys, m));
            assert!(limbs_eq_mod_limb_naive_1(&xs, &ys, m));
            assert!(limbs_eq_mod_limb_naive_2(&xs, &ys, m));
        },
    );

    unsigned_vec_unsigned_vec_unsigned_triple_gen_var_16().test_properties_with_config(
        &config,
        |(xs, ys, m)| {
            assert!(!Natural::from_limbs_asc(&xs)
                .eq_mod(Natural::from_limbs_asc(&ys), Natural::from(m)));
            assert!(!limbs_eq_mod_limb_ref_ref(&xs, &ys, m));
            assert!(!limbs_eq_mod_limb_naive_1(&xs, &ys, m));
            assert!(!limbs_eq_mod_limb_naive_2(&xs, &ys, m));
        },
    );
}

#[test]
fn limbs_eq_mod_properties() {
    let mut config = GenConfig::new();
    config.insert("mean_length_n", 32);
    config.insert("mean_stripe_n", 16 << Limb::LOG_WIDTH);
    unsigned_vec_triple_gen_var_36().test_properties_with_config(&config, |(xs, ys, ms)| {
        let equal = limbs_eq_mod_ref_ref_ref(&xs, &ys, &ms);
        let mut mut_ys = ys.clone();
        let mut mut_ms = ms.clone();
        assert_eq!(
            limbs_eq_mod_ref_val_val(&xs, &mut mut_ys, &mut mut_ms),
            equal
        );
        let mut mut_ys = ys.clone();
        assert_eq!(limbs_eq_mod_ref_val_ref(&xs, &mut mut_ys, &ms), equal);
        let mut mut_ms = ms.clone();
        assert_eq!(limbs_eq_mod_ref_ref_val(&xs, &ys, &mut mut_ms), equal);
        assert_eq!(
            Natural::from_limbs_asc(&xs)
                .eq_mod(Natural::from_limbs_asc(&ys), Natural::from_limbs_asc(&ms)),
            equal
        );
        assert_eq!(limbs_eq_mod_naive_1(&xs, &ys, &ms), equal);
        assert_eq!(limbs_eq_mod_naive_2(&xs, &ys, &ms), equal);
    });

    unsigned_vec_triple_gen_var_54().test_properties_with_config(&config, |(xs, ys, ms)| {
        assert!(Natural::from_limbs_asc(&xs)
            .eq_mod(Natural::from_limbs_asc(&ys), Natural::from_limbs_asc(&ms)));
        assert!(limbs_eq_mod_ref_ref_ref(&xs, &ys, &ms));
        assert!(limbs_eq_mod_naive_1(&xs, &ys, &ms));
        assert!(limbs_eq_mod_naive_2(&xs, &ys, &ms));
    });

    unsigned_vec_triple_gen_var_55().test_properties_with_config(&config, |(xs, ys, ms)| {
        assert!(!Natural::from_limbs_asc(&xs)
            .eq_mod(Natural::from_limbs_asc(&ys), Natural::from_limbs_asc(&ms)));
        assert!(!limbs_eq_mod_ref_ref_ref(&xs, &ys, &ms));
        assert!(!limbs_eq_mod_naive_1(&xs, &ys, &ms));
        assert!(!limbs_eq_mod_naive_2(&xs, &ys, &ms));
    });
}

#[test]
fn eq_mod_properties() {
    natural_triple_gen().test_properties(|(x, y, m)| {
        let equal = (&x).eq_mod(&y, &m);
        assert_eq!((&y).eq_mod(&x, &m), equal);

        assert_eq!((&x).eq_mod(&y, m.clone()), equal);
        assert_eq!((&x).eq_mod(y.clone(), &m), equal);
        assert_eq!((&x).eq_mod(y.clone(), m.clone()), equal);
        assert_eq!(x.clone().eq_mod(&y, &m), equal);
        assert_eq!(x.clone().eq_mod(&y, m.clone()), equal);
        assert_eq!(x.clone().eq_mod(y.clone(), &m), equal);
        assert_eq!(x.clone().eq_mod(y.clone(), m.clone()), equal);

        assert_eq!(
            (Integer::from(&x) - Integer::from(&y)).divisible_by(Integer::from(&m)),
            equal
        );
        assert_eq!(
            (Integer::from(&y) - Integer::from(&x)).divisible_by(Integer::from(&m)),
            equal
        );
        assert_eq!(
            rug::Integer::from(&x).is_congruent(&rug::Integer::from(&y), &rug::Integer::from(&m)),
            equal
        );
    });

    natural_triple_gen_var_1().test_properties(|(x, y, m)| {
        assert!((&x).eq_mod(&y, &m));
        assert!((&y).eq_mod(&x, &m));
        assert!(
            rug::Integer::from(&x).is_congruent(&rug::Integer::from(&y), &rug::Integer::from(&m))
        );
    });

    natural_triple_gen_var_2().test_properties(|(x, y, m)| {
        assert!(!(&x).eq_mod(&y, &m));
        assert!(!(&y).eq_mod(&x, &m));
        assert!(
            !rug::Integer::from(&x).is_congruent(&rug::Integer::from(&y), &rug::Integer::from(&m))
        );
    });

    natural_pair_gen().test_properties(|(x, y)| {
        assert!((&x).eq_mod(&y, Natural::ONE));
        assert_eq!((&x).eq_mod(Natural::ZERO, &y), (&x).divisible_by(&y));
        assert!((&x).eq_mod(&x, &y));
        assert_eq!((&x).eq_mod(&y, Natural::ZERO), x == y);
    });

    unsigned_triple_gen_var_19::<Limb>().test_properties(|(x, y, m)| {
        assert_eq!(
            Natural::from(x).eq_mod(Natural::from(y), Natural::from(m)),
            x.eq_mod(y, m)
        );
    });
}