malachite-q 0.9.2

// 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 malachite_base::num::arithmetic::traits::{Ceiling, Floor, Parity};
use malachite_base::num::basic::traits::{One, OneHalf, Two};
use malachite_base::num::comparison::traits::PartialOrdAbs;
use malachite_base::num::conversion::traits::{
    ConvertibleFrom, ExactFrom, IsInteger, RoundingFrom,
};
use malachite_base::rounding_modes::RoundingMode::*;
use malachite_base::strings::ToDebugString;
use malachite_nz::integer::Integer;
use malachite_nz::test_util::generators::integer_gen;
use malachite_q::Rational;
use malachite_q::test_util::generators::{rational_gen, rational_rounding_mode_pair_gen_var_2};
use std::cmp::Ordering::*;
use std::str::FromStr;

#[test]
fn test_try_from_rational() {
    let test = |s, out| {
        let u = Rational::from_str(s).unwrap();

        let on = Integer::try_from(u.clone());
        assert_eq!(on.to_debug_string(), out);
        assert!(on.map_or(true, |n| n.is_valid()));

        let on = Integer::try_from(&u);
        assert_eq!(on.to_debug_string(), out);
        assert!(on.map_or(true, |n| n.is_valid()));
    };
    test("0", "Ok(0)");
    test("123", "Ok(123)");
    test("-123", "Ok(-123)");
    test("1000000000000", "Ok(1000000000000)");
    test("-1000000000000", "Ok(-1000000000000)");
    test("22/7", "Err(IntegerFromRationalError)");
    test("-22/7", "Err(IntegerFromRationalError)");
}

#[test]
fn test_exact_from_rational() {
    let test = |s, out| {
        let u = Rational::from_str(s).unwrap();

        let n = Integer::exact_from(u.clone());
        assert_eq!(n.to_string(), out);
        assert!(n.is_valid());

        let n = Integer::exact_from(&u);
        assert_eq!(n.to_string(), out);
        assert!(n.is_valid());
    };
    test("0", "0");
    test("123", "123");
    test("-123", "-123");
    test("1000000000000", "1000000000000");
    test("-1000000000000", "-1000000000000");
}

#[test]
#[should_panic]
fn integer_exact_from_rational_fail() {
    Integer::exact_from(Rational::from_str("22/7").unwrap());
}

#[test]
#[should_panic]
fn integer_exact_from_rational_ref_fail() {
    Integer::exact_from(&Rational::from_str("-22/7").unwrap());
}

#[test]
fn test_convertible_from_rational() {
    let test = |s, out| {
        let u = Rational::from_str(s).unwrap();
        assert_eq!(Integer::convertible_from(&u), out);
    };
    test("0", true);
    test("123", true);
    test("-123", true);
    test("1000000000000", true);
    test("-1000000000000", true);
    test("22/7", false);
    test("-22/7", false);
}

#[test]
fn test_rounding_from_rational() {
    let test = |s, rm, out, o_out| {
        let u = Rational::from_str(s).unwrap();

        let (n, o) = Integer::rounding_from(u.clone(), rm);
        assert_eq!(n.to_string(), out);
        assert!(n.is_valid());
        assert_eq!(o, o_out);

        let (n, o) = Integer::rounding_from(&u, rm);
        assert_eq!(n.to_string(), out);
        assert!(n.is_valid());
        assert_eq!(o, o_out);
    };
    test("123", Floor, "123", Equal);
    test("123", Down, "123", Equal);
    test("123", Ceiling, "123", Equal);
    test("123", Up, "123", Equal);
    test("123", Nearest, "123", Equal);
    test("123", Exact, "123", Equal);

    test("-123", Floor, "-123", Equal);
    test("-123", Down, "-123", Equal);
    test("-123", Ceiling, "-123", Equal);
    test("-123", Up, "-123", Equal);
    test("-123", Nearest, "-123", Equal);
    test("-123", Exact, "-123", Equal);

    test("22/7", Floor, "3", Less);
    test("22/7", Down, "3", Less);
    test("22/7", Ceiling, "4", Greater);
    test("22/7", Up, "4", Greater);
    test("22/7", Nearest, "3", Less);

    test("-22/7", Floor, "-4", Less);
    test("-22/7", Down, "-3", Greater);
    test("-22/7", Ceiling, "-3", Greater);
    test("-22/7", Up, "-4", Less);
    test("-22/7", Nearest, "-3", Greater);

    test("7/2", Floor, "3", Less);
    test("7/2", Down, "3", Less);
    test("7/2", Ceiling, "4", Greater);
    test("7/2", Up, "4", Greater);
    test("7/2", Nearest, "4", Greater);

    test("9/2", Floor, "4", Less);
    test("9/2", Down, "4", Less);
    test("9/2", Ceiling, "5", Greater);
    test("9/2", Up, "5", Greater);
    test("9/2", Nearest, "4", Less);
}

#[test]
#[should_panic]
fn integer_rounding_from_rational_fail() {
    Integer::rounding_from(Rational::from_str("22/7").unwrap(), Exact);
}

#[test]
#[should_panic]
fn integer_rounding_from_rational_ref_fail() {
    Integer::rounding_from(&Rational::from_str("22/7").unwrap(), Exact);
}

#[test]
fn try_from_rational_properties() {
    rational_gen().test_properties(|x| {
        let integer_x = Integer::try_from(x.clone());
        assert!(integer_x.as_ref().map_or(true, Integer::is_valid));

        let integer_x_alt = Integer::try_from(&x);
        assert!(integer_x_alt.as_ref().map_or(true, Integer::is_valid));
        assert_eq!(integer_x, integer_x_alt);

        assert_eq!(integer_x.is_ok(), x.is_integer());
        assert_eq!(integer_x.is_ok(), Integer::convertible_from(&x));
        if let Ok(n) = integer_x {
            assert_eq!(n.to_string(), x.to_string());
            assert_eq!(Integer::exact_from(&x), n);
            assert_eq!(Rational::from(&n), x);
            assert_eq!(Rational::from(n), x);
        }
    });
}

#[test]
fn convertible_from_rational_properties() {
    rational_gen().test_properties(|x| {
        let convertible = Integer::convertible_from(&x);
        assert_eq!(convertible, x.is_integer());
    });
}

#[test]
fn integer_from_rational_properties() {
    rational_rounding_mode_pair_gen_var_2().test_properties(|(x, rm)| {
        let no = Integer::rounding_from(&x, rm);
        assert_eq!(Integer::rounding_from(x.clone(), rm), no);
        let (n, o) = no;
        assert!((Rational::from(&n) - &x).lt_abs(&1));

        assert_eq!(n.partial_cmp(&x), Some(o));
        match (x >= 0, rm) {
            (_, Floor) | (true, Down) | (false, Up) => {
                assert_ne!(o, Greater);
            }
            (_, Ceiling) | (true, Up) | (false, Down) => {
                assert_ne!(o, Less);
            }
            (_, Exact) => assert_eq!(o, Equal),
            _ => {}
        }
    });

    rational_gen().test_properties(|x| {
        let floor = Integer::rounding_from(&x, Floor);
        assert_eq!(floor.0, (&x).floor());
        assert!(floor.0 <= x);
        assert!(&floor.0 + Integer::ONE > x);

        let ceiling = Integer::rounding_from(&x, Ceiling);
        assert_eq!(ceiling.0, (&x).ceiling());
        assert!(ceiling.0 >= x);
        assert!(&ceiling.0 - Integer::ONE < x);

        if x >= 0 {
            assert_eq!(Integer::rounding_from(&x, Down), floor);
            assert_eq!(Integer::rounding_from(&x, Up), ceiling);
        } else {
            assert_eq!(Integer::rounding_from(&x, Down), ceiling);
            assert_eq!(Integer::rounding_from(&x, Up), floor);
        }

        let nearest = Integer::rounding_from(&x, Nearest);
        assert!(nearest == floor || nearest == ceiling);
        assert!((Rational::from(nearest.0) - x).le_abs(&Rational::ONE_HALF));
    });

    integer_gen().test_properties(|n| {
        let x = Rational::from(&n);
        let no = (n, Equal);
        assert_eq!(Integer::rounding_from(&x, Floor), no);
        assert_eq!(Integer::rounding_from(&x, Down), no);
        assert_eq!(Integer::rounding_from(&x, Ceiling), no);
        assert_eq!(Integer::rounding_from(&x, Up), no);
        assert_eq!(Integer::rounding_from(&x, Nearest), no);
        assert_eq!(Integer::rounding_from(&x, Exact), no);

        let x = Rational::from_integers((no.0 << 1) | Integer::ONE, Integer::TWO);
        assert!(Integer::rounding_from(x, Nearest).0.even());
    });
}