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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, Infinity, NaN, Zero};
use core::cmp::Ordering::{self, *};
use malachite_base::num::comparison::traits::PartialOrdAbs;
use malachite_base::num::logic::traits::SignificantBits;
use malachite_nz::natural::Natural;

impl PartialOrdAbs<Natural> for Float {
    /// Compares the absolute value of a [`Float`] to a [`Natural`].
    ///
    /// NaN is not comparable to any [`Natural`]. Infinity and negative infinity are greater in
    /// absolute value than any [`Natural`]. Both the [`Float`] zero and the [`Float`] negative zero
    /// are equal to the [`Natural`] 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::{Infinity, NegativeInfinity};
    /// use malachite_base::num::comparison::traits::PartialOrdAbs;
    /// use malachite_float::Float;
    /// use malachite_nz::natural::Natural;
    ///
    /// assert!(Float::from(80).lt_abs(&Natural::from(100u32)));
    /// assert!(Float::INFINITY.gt_abs(&Natural::from(100u32)));
    /// assert!(Float::NEGATIVE_INFINITY.gt_abs(&Natural::from(100u32)));
    /// ```
    fn partial_cmp_abs(&self, other: &Natural) -> Option<Ordering> {
        match (self, other) {
            (float_nan!(), _) => None,
            (Float(Infinity { .. }), _) => Some(Greater),
            (float_either_zero!(), y) => Some(if *y == 0 { Equal } else { Less }),
            (
                Float(Finite {
                    exponent: e_x,
                    significand: x,
                    ..
                }),
                y,
            ) => Some(if *other == 0 {
                Greater
            } else if *e_x <= 0 {
                Less
            } else {
                e_x.unsigned_abs()
                    .cmp(&other.significant_bits())
                    .then_with(|| x.cmp_normalized(y))
            }),
        }
    }
}

impl PartialOrdAbs<Float> for Natural {
    /// Compares a [`Natural`] to the absolute value of a [`Float`].
    ///
    /// No [`Natural`] is comparable to NaN. Every [`Natural`] is smaller in absolute value than
    /// infinity and negative infinity. The [`Natural`] 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::{Infinity, NegativeInfinity};
    /// use malachite_base::num::comparison::traits::PartialOrdAbs;
    /// use malachite_float::Float;
    /// use malachite_nz::natural::Natural;
    ///
    /// assert!(Natural::from(100u32).gt_abs(&Float::from(80)));
    /// assert!(Natural::from(100u32).lt_abs(&Float::INFINITY));
    /// assert!(Natural::from(100u32).lt_abs(&Float::NEGATIVE_INFINITY));
    /// ```
    #[inline]
    fn partial_cmp_abs(&self, other: &Float) -> Option<Ordering> {
        other.partial_cmp_abs(self).map(Ordering::reverse)
    }
}