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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;
use malachite_base::num::arithmetic::traits::IsPowerOf2;
use malachite_base::num::basic::integers::PrimitiveInt;
use malachite_base::num::basic::signeds::PrimitiveSigned;
use malachite_nz::platform::Limb;
const HIGH_BIT: Limb = 1 << (Limb::WIDTH - 1);
impl IsPowerOf2 for Float {
/// Determines whether a [`Float`] is an integer power of 2.
///
/// $f(x) = (\exists n \in \Z : 2^n = x)$.
///
/// [`Float`]s that are NaN, infinite, or zero are not powers of 2.
///
/// # 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
/// ```
/// use malachite_base::num::arithmetic::traits::IsPowerOf2;
/// use malachite_base::num::basic::traits::{NaN, One, OneHalf, Two};
/// use malachite_float::Float;
///
/// assert_eq!(Float::NAN.is_power_of_2(), false);
///
/// assert_eq!(Float::ONE.is_power_of_2(), true);
/// assert_eq!(Float::TWO.is_power_of_2(), true);
/// assert_eq!(Float::ONE_HALF.is_power_of_2(), true);
/// assert_eq!(Float::from(1024).is_power_of_2(), true);
///
/// assert_eq!(Float::from(3).is_power_of_2(), false);
/// assert_eq!(Float::from(1025).is_power_of_2(), false);
/// assert_eq!(Float::from(0.1f64).is_power_of_2(), false);
/// ```
fn is_power_of_2(&self) -> bool {
match self {
Float(Finite {
sign: true,
significand,
..
}) => {
let mut first = true;
for x in significand.limbs().rev() {
if first {
if x != HIGH_BIT {
return false;
}
first = false;
} else if x != 0 {
return false;
}
}
true
}
_ => false,
}
}
}
pub(crate) fn float_is_signed_min<T: PrimitiveSigned>(f: &Float) -> bool {
match f {
Float(Finite {
sign: false,
exponent,
significand,
..
}) => {
if *exponent != T::WIDTH as i64 {
return false;
}
let mut first = true;
for x in significand.limbs().rev() {
if first {
if x != HIGH_BIT {
return false;
}
first = false;
} else if x != 0 {
return false;
}
}
true
}
_ => false,
}
}