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``````use crate::Ratio;

use core::cmp;
use num_integer::Integer;
use num_traits::{One, Pow};

macro_rules! pow_unsigned_impl {
(@ \$exp:ty) => {
type Output = Ratio<T>;
#[inline]
fn pow(self, expon: \$exp) -> Ratio<T> {
Ratio::new_raw(self.numer.pow(expon), self.denom.pow(expon))
}
};
(\$exp:ty) => {
impl<T: Clone + Integer + Pow<\$exp, Output = T>> Pow<\$exp> for Ratio<T> {
pow_unsigned_impl!(@ \$exp);
}
impl<'a, T: Clone + Integer> Pow<\$exp> for &'a Ratio<T>
where
&'a T: Pow<\$exp, Output = T>,
{
pow_unsigned_impl!(@ \$exp);
}
impl<'b, T: Clone + Integer + Pow<\$exp, Output = T>> Pow<&'b \$exp> for Ratio<T> {
type Output = Ratio<T>;
#[inline]
fn pow(self, expon: &'b \$exp) -> Ratio<T> {
Pow::pow(self, *expon)
}
}
impl<'a, 'b, T: Clone + Integer> Pow<&'b \$exp> for &'a Ratio<T>
where
&'a T: Pow<\$exp, Output = T>,
{
type Output = Ratio<T>;
#[inline]
fn pow(self, expon: &'b \$exp) -> Ratio<T> {
Pow::pow(self, *expon)
}
}
};
}
pow_unsigned_impl!(u8);
pow_unsigned_impl!(u16);
pow_unsigned_impl!(u32);
pow_unsigned_impl!(u64);
pow_unsigned_impl!(u128);
pow_unsigned_impl!(usize);

macro_rules! pow_signed_impl {
(@ &'b BigInt, BigUint) => {
type Output = Ratio<T>;
#[inline]
fn pow(self, expon: &'b BigInt) -> Ratio<T> {
match expon.sign() {
Sign::NoSign => One::one(),
Sign::Minus => {
Pow::pow(self, expon.magnitude()).into_recip()
}
Sign::Plus => Pow::pow(self, expon.magnitude()),
}
}
};
(@ \$exp:ty, \$unsigned:ty) => {
type Output = Ratio<T>;
#[inline]
fn pow(self, expon: \$exp) -> Ratio<T> {
match expon.cmp(&0) {
cmp::Ordering::Equal => One::one(),
cmp::Ordering::Less => {
let expon = expon.wrapping_abs() as \$unsigned;
Pow::pow(self, expon).into_recip()
}
cmp::Ordering::Greater => Pow::pow(self, expon as \$unsigned),
}
}
};
(\$exp:ty, \$unsigned:ty) => {
impl<T: Clone + Integer + Pow<\$unsigned, Output = T>> Pow<\$exp> for Ratio<T> {
pow_signed_impl!(@ \$exp, \$unsigned);
}
impl<'a, T: Clone + Integer> Pow<\$exp> for &'a Ratio<T>
where
&'a T: Pow<\$unsigned, Output = T>,
{
pow_signed_impl!(@ \$exp, \$unsigned);
}
impl<'b, T: Clone + Integer + Pow<\$unsigned, Output = T>> Pow<&'b \$exp> for Ratio<T> {
type Output = Ratio<T>;
#[inline]
fn pow(self, expon: &'b \$exp) -> Ratio<T> {
Pow::pow(self, *expon)
}
}
impl<'a, 'b, T: Clone + Integer> Pow<&'b \$exp> for &'a Ratio<T>
where
&'a T: Pow<\$unsigned, Output = T>,
{
type Output = Ratio<T>;
#[inline]
fn pow(self, expon: &'b \$exp) -> Ratio<T> {
Pow::pow(self, *expon)
}
}
};
}
pow_signed_impl!(i8, u8);
pow_signed_impl!(i16, u16);
pow_signed_impl!(i32, u32);
pow_signed_impl!(i64, u64);
pow_signed_impl!(i128, u128);
pow_signed_impl!(isize, usize);

#[cfg(feature = "num-bigint")]
mod bigint {
use super::*;
use num_bigint::{BigInt, BigUint, Sign};

impl<T: Clone + Integer + for<'b> Pow<&'b BigUint, Output = T>> Pow<BigUint> for Ratio<T> {
type Output = Ratio<T>;
#[inline]
fn pow(self, expon: BigUint) -> Ratio<T> {
Pow::pow(self, &expon)
}
}
impl<'a, T: Clone + Integer> Pow<BigUint> for &'a Ratio<T>
where
&'a T: for<'b> Pow<&'b BigUint, Output = T>,
{
type Output = Ratio<T>;
#[inline]
fn pow(self, expon: BigUint) -> Ratio<T> {
Pow::pow(self, &expon)
}
}
impl<'b, T: Clone + Integer + Pow<&'b BigUint, Output = T>> Pow<&'b BigUint> for Ratio<T> {
pow_unsigned_impl!(@ &'b BigUint);
}
impl<'a, 'b, T: Clone + Integer> Pow<&'b BigUint> for &'a Ratio<T>
where
&'a T: Pow<&'b BigUint, Output = T>,
{
pow_unsigned_impl!(@ &'b BigUint);
}

impl<T: Clone + Integer + for<'b> Pow<&'b BigUint, Output = T>> Pow<BigInt> for Ratio<T> {
type Output = Ratio<T>;
#[inline]
fn pow(self, expon: BigInt) -> Ratio<T> {
Pow::pow(self, &expon)
}
}
impl<'a, T: Clone + Integer> Pow<BigInt> for &'a Ratio<T>
where
&'a T: for<'b> Pow<&'b BigUint, Output = T>,
{
type Output = Ratio<T>;
#[inline]
fn pow(self, expon: BigInt) -> Ratio<T> {
Pow::pow(self, &expon)
}
}
impl<'b, T: Clone + Integer + Pow<&'b BigUint, Output = T>> Pow<&'b BigInt> for Ratio<T> {
pow_signed_impl!(@ &'b BigInt, BigUint);
}
impl<'a, 'b, T: Clone + Integer> Pow<&'b BigInt> for &'a Ratio<T>
where
&'a T: Pow<&'b BigUint, Output = T>,
{
pow_signed_impl!(@ &'b BigInt, BigUint);
}
}
``````