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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::num::arithmetic::traits::{
ModPow, ModPowAssign, ModPowPrecomputed, ModPowPrecomputedAssign, ModSquare, ModSquareAssign,
ModSquarePrecomputed, ModSquarePrecomputedAssign,
};
macro_rules! impl_mod_square {
($t:ident) => {
impl ModSquare for $t {
type Output = $t;
/// Squares a number modulo another number $m$. The input must be already reduced modulo
/// $m$.
///
/// $f(x, m) = y$, where $x, y < m$ and $x^2 \equiv y \mod m$.
///
/// # Worst-case complexity
/// Constant time and additional memory.
///
/// # Panics
/// Panics if `self` is greater than or equal to `m`.
///
/// # Examples
/// See [here](super::mod_square#mod_square).
#[inline]
fn mod_square(self, m: $t) -> $t {
self.mod_pow(2, m)
}
}
impl ModSquareAssign for $t {
/// Squares a number modulo another number $m$, in place. The input must be already
/// reduced modulo $m$.
///
/// $x \gets y$, where $x, y < m$ and $x^2 \equiv y \mod m$.
///
/// # Worst-case complexity
/// Constant time and additional memory.
///
/// # Panics
/// Panics if `self` is greater than or equal to `m`.
///
/// # Examples
/// See [here](super::mod_square#mod_square_assign).
#[inline]
fn mod_square_assign(&mut self, m: $t) {
self.mod_pow_assign(2, m);
}
}
impl ModSquarePrecomputed<u64, $t> for $t {
/// Squares a number modulo another number $m$. The input must be already reduced modulo
/// $m$.
///
/// Some precomputed data is provided; this speeds up computations involving several
/// modular squarings with the same modulus. The precomputed data should be obtained
/// using [`precompute_mod_pow_data`](super::traits::ModPowPrecomputed).
///
/// # Worst-case complexity
/// Constant time and additional memory.
///
/// # Panics
/// Panics if `self` is greater than or equal to `m`.
///
/// # Examples
/// See [here](super::mod_square#mod_square_precomputed).
#[inline]
fn mod_square_precomputed(self, m: $t, data: &Self::Data) -> Self::Output {
self.mod_pow_precomputed(2, m, data)
}
}
impl ModSquarePrecomputedAssign<u64, $t> for $t {
/// Squares a number modulo another number $m$, in place. The input must be already
/// reduced modulo $m$.
///
/// Some precomputed data is provided; this speeds up computations involving several
/// modular squarings with the same modulus. The precomputed data should be obtained
/// using [`precompute_mod_pow_data`](super::traits::ModPowPrecomputed).
///
/// # Worst-case complexity
/// Constant time and additional memory.
///
/// # Panics
/// Panics if `self` is greater than or equal to `m`.
///
/// # Examples
/// See [here](super::mod_square#mod_square_precomputed_assign).
#[inline]
fn mod_square_precomputed_assign(&mut self, m: $t, data: &Self::Data) {
self.mod_pow_precomputed_assign(2, m, data);
}
}
};
}
apply_to_unsigneds!(impl_mod_square);