malachite-nz 0.10.0

The bignum types Natural and Integer, with efficient algorithms partially derived from GMP and FLINT.
Documentation 
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// Copyright © 2026 Mikhail Hogrefe
//
// This file is part of Malachite.
//
// Malachite is free software: you can redistribute it and/or modify it under the terms of the GNU
// Lesser General Public License (LGPL) as published by the Free Software Foundation; either version
// 3 of the License, or (at your option) any later version. See <https://www.gnu.org/licenses/>.

use core::cmp::Ordering::*;
use malachite_base::num::arithmetic::traits::Abs;
use malachite_base::num::comparison::traits::{EqAbs, OrdAbs};
use malachite_base::test_util::generators::signed_pair_gen;
use malachite_nz::integer::Integer;
use malachite_nz::platform::SignedLimb;
use malachite_nz::test_util::generators::{
    integer_gen, integer_pair_gen, integer_triple_gen, natural_pair_gen,
};
use std::str::FromStr;

#[test]
fn test_eq_abs() {
    let test = |s, t, eq: bool| {
        let u = Integer::from_str(s).unwrap();
        let v = Integer::from_str(t).unwrap();
        assert_eq!(u.eq_abs(&v), eq);
        assert_eq!(u.ne_abs(&v), !eq);
        assert_eq!((&u).abs() == (&v).abs(), eq);
        assert_eq!(v.eq_abs(&u), eq);
    };
    test("0", "0", true);
    test("0", "5", false);
    test("123", "123", true);
    test("123", "124", false);
    test("123", "122", false);
    test("1000000000000", "123", false);
    test("123", "1000000000000", false);
    test("1000000000000", "1000000000000", true);
    test("1000000000000", "0", false);

    test("-123", "123", true);
    test("-123", "124", false);
    test("-123", "122", false);
    test("-1000000000000", "123", false);
    test("-123", "1000000000000", false);
    test("-1000000000000", "1000000000000", true);
    test("-1000000000000", "0", false);

    test("0", "-5", false);
    test("123", "-123", true);
    test("123", "-124", false);
    test("123", "-122", false);
    test("1000000000000", "-123", false);
    test("123", "-1000000000000", false);
    test("1000000000000", "-1000000000000", true);

    test("-123", "-123", true);
    test("-123", "-124", false);
    test("-123", "-122", false);
    test("-1000000000000", "-123", false);
    test("-123", "-1000000000000", false);
    test("-1000000000000", "-1000000000000", true);
}

#[allow(clippy::cmp_owned, clippy::eq_op)]
#[test]
fn eq_properties() {
    integer_pair_gen().test_properties(|(x, y)| {
        let eq = x.eq_abs(&y);
        assert_eq!((&x).abs() == (&y).abs(), eq);
        assert_eq!(x.ne_abs(&y), !eq);
        assert_eq!(y.eq_abs(&x), eq);
        assert_eq!(x.cmp_abs(&y) == Equal, eq);
        assert_eq!(x.eq_abs(&-&y), eq);
        assert_eq!((-&x).eq_abs(&y), eq);
        assert_eq!((-x).eq_abs(&-y), eq);
    });

    integer_gen().test_properties(|x| {
        assert!(x.eq_abs(&x));
    });

    integer_triple_gen().test_properties(|(x, y, z)| {
        if x.eq_abs(&y) && y.eq_abs(&z) {
            assert!(x.eq_abs(&z));
        }
    });

    natural_pair_gen().test_properties(|(x, y)| {
        assert_eq!(Integer::from(&x) == Integer::from(&y), x == y);
        assert_eq!(Integer::from(&x) == y, x == y);
        assert_eq!(x == Integer::from(&y), x == y);
    });

    signed_pair_gen::<SignedLimb>().test_properties(|(x, y)| {
        assert_eq!(Integer::from(x).eq_abs(&Integer::from(y)), x.eq_abs(&y));
    });
}