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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::UnsignedAbs;
use malachite_base::num::basic::signeds::PrimitiveSigned;
use malachite_base::num::basic::unsigneds::PrimitiveUnsigned;
use malachite_nz::natural::Natural;
fn float_partial_eq_unsigned<T: PrimitiveUnsigned>(x: &Float, y: &T) -> bool
where
Natural: From<T>,
{
match x {
float_either_zero!() => *y == T::ZERO,
Float(Finite {
sign,
exponent,
significand,
..
}) => {
*y != T::ZERO
&& *sign
&& *exponent >= 0
&& y.significant_bits() == exponent.unsigned_abs()
&& significand.cmp_normalized(&Natural::from(*y)) == Equal
}
_ => false,
}
}
macro_rules! impl_partial_eq_unsigned {
($t: ident) => {
impl PartialEq<$t> for Float {
/// Determines whether a [`Float`] is equal to an unsigned primitive integer.
///
/// Infinity, negative infinity, and NaN are not equal to any primitive integer. Both
/// the [`Float`] zero and the [`Float`] negative zero are equal to the integer zero.
///
/// # Worst-case complexity
/// $T(n) = O(n)$
///
/// $M(n) = O(1)$
///
/// where $T$ is time, $M$ is additional memory, and $n$ is `self.significant_bits()`.
///
/// # Examples
/// See [here](super::partial_eq_primitive_int#partial_eq).
#[inline]
fn eq(&self, other: &$t) -> bool {
float_partial_eq_unsigned(self, other)
}
}
impl PartialEq<Float> for $t {
/// Determines whether an unsigned primitive integer is equal to a [`Float`].
///
/// No primitive integer is equal to infinity, negative infinity, or NaN. The integer
/// 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 `other.significant_bits()`.
///
/// # Examples
/// See [here](super::partial_eq_primitive_int#partial_eq).
#[inline]
fn eq(&self, other: &Float) -> bool {
other == self
}
}
};
}
apply_to_unsigneds!(impl_partial_eq_unsigned);
fn float_partial_eq_signed<T: PrimitiveSigned>(x: &Float, y: &T) -> bool
where
Natural: From<<T as UnsignedAbs>::Output>,
{
match x {
float_either_zero!() => *y == T::ZERO,
Float(Finite {
sign,
exponent,
significand,
..
}) => {
*y != T::ZERO
&& *sign == (*y >= T::ZERO)
&& *exponent >= 0
&& y.significant_bits() == exponent.unsigned_abs()
&& significand.cmp_normalized(&Natural::from(y.unsigned_abs())) == Equal
}
_ => false,
}
}
macro_rules! impl_partial_eq_signed {
($t: ident) => {
impl PartialEq<$t> for Float {
/// Determines whether a [`Float`] is equal to a signed primitive integer.
///
/// Infinity, negative infinity, and NaN are not equal to any primitive integer. Both
/// the [`Float`] zero and the [`Float`] negative zero are equal to the integer zero.
///
/// # Worst-case complexity
/// $T(n) = O(n)$
///
/// $M(n) = O(1)$
///
/// where $T$ is time, $M$ is additional memory, and $n$ is `self.significant_bits()`.
///
/// # Examples
/// See [here](super::partial_eq_primitive_int#partial_eq).
#[inline]
fn eq(&self, other: &$t) -> bool {
float_partial_eq_signed(self, other)
}
}
impl PartialEq<Float> for $t {
/// Determines whether a signed primitive integer is equal to a [`Float`].
///
/// No primitive integer is equal to infinity, negative infinity, or NaN. The integer
/// 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 `other.significant_bits()`.
///
/// # Examples
/// See [here](super::partial_eq_primitive_int#partial_eq).
#[inline]
fn eq(&self, other: &Float) -> bool {
other == self
}
}
};
}
apply_to_signeds!(impl_partial_eq_signed);