174 lines
5.2 KiB
Rust
174 lines
5.2 KiB
Rust
use crate::Ratio;
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use core::cmp;
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use num_integer::Integer;
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use num_traits::{One, Pow};
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macro_rules! pow_unsigned_impl {
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(@ $exp:ty) => {
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type Output = Ratio<T>;
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#[inline]
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fn pow(self, expon: $exp) -> Ratio<T> {
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Ratio::new_raw(self.numer.pow(expon), self.denom.pow(expon))
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}
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};
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($exp:ty) => {
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impl<T: Clone + Integer + Pow<$exp, Output = T>> Pow<$exp> for Ratio<T> {
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pow_unsigned_impl!(@ $exp);
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}
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impl<'a, T: Clone + Integer> Pow<$exp> for &'a Ratio<T>
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where
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&'a T: Pow<$exp, Output = T>,
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{
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pow_unsigned_impl!(@ $exp);
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}
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impl<'b, T: Clone + Integer + Pow<$exp, Output = T>> Pow<&'b $exp> for Ratio<T> {
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type Output = Ratio<T>;
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#[inline]
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fn pow(self, expon: &'b $exp) -> Ratio<T> {
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Pow::pow(self, *expon)
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}
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}
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impl<'a, 'b, T: Clone + Integer> Pow<&'b $exp> for &'a Ratio<T>
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where
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&'a T: Pow<$exp, Output = T>,
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{
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type Output = Ratio<T>;
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#[inline]
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fn pow(self, expon: &'b $exp) -> Ratio<T> {
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Pow::pow(self, *expon)
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}
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}
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};
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}
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pow_unsigned_impl!(u8);
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pow_unsigned_impl!(u16);
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pow_unsigned_impl!(u32);
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pow_unsigned_impl!(u64);
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pow_unsigned_impl!(u128);
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pow_unsigned_impl!(usize);
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macro_rules! pow_signed_impl {
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(@ &'b BigInt, BigUint) => {
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type Output = Ratio<T>;
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#[inline]
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fn pow(self, expon: &'b BigInt) -> Ratio<T> {
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match expon.sign() {
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Sign::NoSign => One::one(),
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Sign::Minus => {
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Pow::pow(self, expon.magnitude()).into_recip()
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}
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Sign::Plus => Pow::pow(self, expon.magnitude()),
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}
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}
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};
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(@ $exp:ty, $unsigned:ty) => {
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type Output = Ratio<T>;
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#[inline]
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fn pow(self, expon: $exp) -> Ratio<T> {
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match expon.cmp(&0) {
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cmp::Ordering::Equal => One::one(),
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cmp::Ordering::Less => {
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let expon = expon.wrapping_abs() as $unsigned;
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Pow::pow(self, expon).into_recip()
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}
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cmp::Ordering::Greater => Pow::pow(self, expon as $unsigned),
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}
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}
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};
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($exp:ty, $unsigned:ty) => {
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impl<T: Clone + Integer + Pow<$unsigned, Output = T>> Pow<$exp> for Ratio<T> {
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pow_signed_impl!(@ $exp, $unsigned);
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}
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impl<'a, T: Clone + Integer> Pow<$exp> for &'a Ratio<T>
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where
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&'a T: Pow<$unsigned, Output = T>,
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{
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pow_signed_impl!(@ $exp, $unsigned);
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}
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impl<'b, T: Clone + Integer + Pow<$unsigned, Output = T>> Pow<&'b $exp> for Ratio<T> {
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type Output = Ratio<T>;
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#[inline]
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fn pow(self, expon: &'b $exp) -> Ratio<T> {
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Pow::pow(self, *expon)
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}
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}
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impl<'a, 'b, T: Clone + Integer> Pow<&'b $exp> for &'a Ratio<T>
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where
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&'a T: Pow<$unsigned, Output = T>,
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{
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type Output = Ratio<T>;
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#[inline]
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fn pow(self, expon: &'b $exp) -> Ratio<T> {
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Pow::pow(self, *expon)
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}
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}
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};
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}
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pow_signed_impl!(i8, u8);
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pow_signed_impl!(i16, u16);
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pow_signed_impl!(i32, u32);
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pow_signed_impl!(i64, u64);
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pow_signed_impl!(i128, u128);
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pow_signed_impl!(isize, usize);
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#[cfg(feature = "num-bigint")]
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mod bigint {
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use super::*;
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use num_bigint::{BigInt, BigUint, Sign};
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impl<T: Clone + Integer + for<'b> Pow<&'b BigUint, Output = T>> Pow<BigUint> for Ratio<T> {
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type Output = Ratio<T>;
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#[inline]
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fn pow(self, expon: BigUint) -> Ratio<T> {
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Pow::pow(self, &expon)
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}
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}
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impl<'a, T: Clone + Integer> Pow<BigUint> for &'a Ratio<T>
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where
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&'a T: for<'b> Pow<&'b BigUint, Output = T>,
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{
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type Output = Ratio<T>;
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#[inline]
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fn pow(self, expon: BigUint) -> Ratio<T> {
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Pow::pow(self, &expon)
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}
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}
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impl<'b, T: Clone + Integer + Pow<&'b BigUint, Output = T>> Pow<&'b BigUint> for Ratio<T> {
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pow_unsigned_impl!(@ &'b BigUint);
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}
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impl<'a, 'b, T: Clone + Integer> Pow<&'b BigUint> for &'a Ratio<T>
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where
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&'a T: Pow<&'b BigUint, Output = T>,
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{
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pow_unsigned_impl!(@ &'b BigUint);
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}
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impl<T: Clone + Integer + for<'b> Pow<&'b BigUint, Output = T>> Pow<BigInt> for Ratio<T> {
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type Output = Ratio<T>;
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#[inline]
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fn pow(self, expon: BigInt) -> Ratio<T> {
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Pow::pow(self, &expon)
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}
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}
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impl<'a, T: Clone + Integer> Pow<BigInt> for &'a Ratio<T>
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where
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&'a T: for<'b> Pow<&'b BigUint, Output = T>,
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{
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type Output = Ratio<T>;
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#[inline]
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fn pow(self, expon: BigInt) -> Ratio<T> {
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Pow::pow(self, &expon)
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}
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}
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impl<'b, T: Clone + Integer + Pow<&'b BigUint, Output = T>> Pow<&'b BigInt> for Ratio<T> {
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pow_signed_impl!(@ &'b BigInt, BigUint);
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}
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impl<'a, 'b, T: Clone + Integer> Pow<&'b BigInt> for &'a Ratio<T>
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where
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&'a T: Pow<&'b BigUint, Output = T>,
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{
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pow_signed_impl!(@ &'b BigInt, BigUint);
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}
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}
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