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// Copyright © 2024 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 crate::Float;
use crate::InnerFloat::{Finite, Zero};
use core::cmp::Ordering::*;
use malachite_base::num::arithmetic::traits::CheckedLogBase2;
use malachite_base::num::conversion::traits::ExactFrom;
use malachite_base::num::logic::traits::SignificantBits;
use malachite_q::Rational;
impl PartialEq<Rational> for Float {
/// Determines whether a [`Float`] is equal to a [`Rational`].
///
/// Infinity, negative infinity, and NaN are not equal to any [`Rational`]. Both the [`Float`]
/// zero and the [`Float`] negative zero are equal to the [`Rational`] zero.
///
/// # Worst-case complexity
/// $T(n) = O(n)$
///
/// $M(n) = O(1)$
///
/// where $T$ is time, $M$ is additional memory, and $n$ is `min(self.significant_bits(),
/// other.significant_bits())`.
///
/// # Examples
/// ```
/// use malachite_base::num::basic::traits::OneHalf;
/// use malachite_float::Float;
/// use malachite_q::Rational;
///
/// assert!(Float::from(123) == Rational::from(123));
/// assert!(Float::from(-123) == Rational::from(-123));
/// assert!(Float::ONE_HALF == Rational::ONE_HALF);
/// assert!(Float::from(1.0f64 / 3.0) != Rational::from_unsigneds(1u8, 3));
/// ```
fn eq(&self, other: &Rational) -> bool {
match self {
float_either_zero!() => *other == 0u32,
Float(Finite {
sign,
exponent,
significand,
..
}) => {
*other != 0
&& *sign == (*other > 0)
&& if let Some(log_d) = other.denominator_ref().checked_log_base_2() {
let n = other.numerator_ref();
*exponent == i64::exact_from(n.significant_bits()) - i64::exact_from(log_d)
&& significand.cmp_normalized(n) == Equal
} else {
false
}
}
_ => false,
}
}
}
impl PartialEq<Float> for Rational {
/// Determines whether a [`Rational`] is equal to a [`Float`].
///
/// No [`Rational`] is equal to infinity, negative infinity, or NaN. The [`Rational`] zero is
/// equal to both the [`Float`] zero and the [`Float`] negative zero.
///
/// # Worst-case complexity
/// $T(n) = O(n)$
///
/// $M(n) = O(1)$
///
/// where $T$ is time, $M$ is additional memory, and $n$ is `min(self.significant_bits(),
/// other.significant_bits())`.
///
/// # Examples
/// ```
/// use malachite_base::num::basic::traits::OneHalf;
/// use malachite_float::Float;
/// use malachite_q::Rational;
///
/// assert!(Rational::from(123) == Float::from(123));
/// assert!(Rational::from(-123) == Float::from(-123));
/// assert!(Rational::ONE_HALF == Float::ONE_HALF);
/// assert!(Rational::from_unsigneds(1u8, 3) != Float::from(1.0f64 / 3.0));
/// ```
#[inline]
fn eq(&self, other: &Float) -> bool {
other == self
}
}