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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 crate::Float;
use crate::InnerFloat::{Finite, Infinity, NaN, Zero};
use core::cmp::Ordering::{self, *};
use malachite_base::num::arithmetic::traits::UnsignedAbs;
use malachite_base::num::basic::signeds::PrimitiveSigned;
use malachite_base::num::basic::unsigneds::PrimitiveUnsigned;
use malachite_base::num::comparison::traits::PartialOrdAbs;
use malachite_nz::natural::Natural;
fn float_partial_cmp_abs_unsigned<T: PrimitiveUnsigned>(x: &Float, y: &T) -> Option<Ordering>
where
Natural: From<T>,
{
match (x, y) {
(float_nan!(), _) => None,
(Float(Infinity { .. }), _) => Some(Greater),
(float_either_zero!(), y) => Some(if *y == T::ZERO { Equal } else { Less }),
(
Float(Finite {
exponent: e_x,
significand: sig_x,
..
}),
y,
) => Some(if *y == T::ZERO {
Greater
} else if *e_x <= 0 {
Less
} else {
u64::from(e_x.unsigned_abs())
.cmp(&y.significant_bits())
.then_with(|| sig_x.cmp_normalized(&Natural::from(*y)))
}),
}
}
macro_rules! impl_from_unsigned {
($t: ident) => {
impl PartialOrdAbs<$t> for Float {
/// Compares the absolute values of a [`Float`] and an unsigned primitive integer.
///
/// NaN is not comparable to any primitive integer. $\infty$ and $-\infty$ are greater
/// in absolute value than 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_cmp_abs_primitive_int#partial_cmp_abs).
#[inline]
fn partial_cmp_abs(&self, other: &$t) -> Option<Ordering> {
float_partial_cmp_abs_unsigned(self, other)
}
}
impl PartialOrdAbs<Float> for $t {
/// Compares the absolute values of an unsigned primitive integer and a [`Float`].
///
/// No primitive integer is comparable to NaN. Every primitive integer is smaller in
/// absolute value than $\infty$ and $-\infty$. 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()`.
///
/// See [here](super::partial_cmp_abs_primitive_int#partial_cmp_abs).
#[inline]
fn partial_cmp_abs(&self, other: &Float) -> Option<Ordering> {
other.partial_cmp_abs(self).map(Ordering::reverse)
}
}
};
}
apply_to_unsigneds!(impl_from_unsigned);
fn float_partial_cmp_abs_signed<T: PrimitiveSigned>(x: &Float, y: &T) -> Option<Ordering>
where
Natural: From<<T as UnsignedAbs>::Output>,
{
match (x, y) {
(float_nan!(), _) => None,
(Float(Infinity { .. }), _) => Some(Greater),
(float_either_zero!(), y) => Some(if *y == T::ZERO { Equal } else { Less }),
(
Float(Finite {
exponent: e_x,
significand: sig_x,
..
}),
y,
) => Some(if *y == T::ZERO {
Greater
} else if *e_x <= 0 {
Less
} else {
u64::from(e_x.unsigned_abs())
.cmp(&y.significant_bits())
.then_with(|| sig_x.cmp_normalized(&Natural::from(y.unsigned_abs())))
}),
}
}
macro_rules! impl_from_signed {
($t: ident) => {
impl PartialOrdAbs<$t> for Float {
/// Compares the absolute values of a [`Float`] and a signed primitive integer.
///
/// NaN is not comparable to any primitive integer. $\infty$ and $-\infty$ are greater
/// in absolute value than 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_cmp_abs_primitive_int#partial_cmp_abs).
#[inline]
fn partial_cmp_abs(&self, other: &$t) -> Option<Ordering> {
float_partial_cmp_abs_signed(self, other)
}
}
impl PartialOrdAbs<Float> for $t {
/// Compares the absolute values of a signed primitive integer and a [`Float`].
///
/// No primitive integer is comparable to NaN. Every primitive integer is smaller in
/// absolute value than $\infty$ and $-\infty$. 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()`.
///
/// See [here](super::partial_cmp_abs_primitive_int#partial_cmp_abs).
#[inline]
fn partial_cmp_abs(&self, other: &Float) -> Option<Ordering> {
other.partial_cmp_abs(self).map(Ordering::reverse)
}
}
};
}
apply_to_signeds!(impl_from_signed);