Trait typenum::type_operators::Pow

pub trait Pow<Exp> {
    type Output;
    fn powi(self, exp: Exp) -> Self::Output;
}

A type operator that provides exponentiation by repeated squaring.

Example

use typenum::{Integer, Pow, N3, P3};

assert_eq!(<N3 as Pow<P3>>::Output::to_i32(), -27);

Associated Types

type Output

The result of the exponentiation.

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Required methods

fn powi(self, exp: Exp) -> Self::Output

This function isn’t used in this crate, but may be useful for others. It is implemented for primitives.

Example

use typenum::{Pow, U3};

let a = 7u32.powi(U3::new());
let b = 7u32.pow(3);
assert_eq!(a, b);

let x = 3.0.powi(U3::new());
let y = 27.0;
assert_eq!(x, y);

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Implementors

impl Pow<Z0> for Z0

0^0 = 1

type Output = P1

fn powi(self, _: Z0) -> Self::Output

impl Pow<Z0> for f32

type Output = f32

fn powi(self, _: Z0) -> Self::Output

impl Pow<Z0> for f64

type Output = f64

fn powi(self, _: Z0) -> Self::Output

impl Pow<Z0> for i8

type Output = i8

fn powi(self, _: Z0) -> Self::Output

impl Pow<Z0> for i16

type Output = i16

fn powi(self, _: Z0) -> Self::Output

impl Pow<Z0> for i32

type Output = i32

fn powi(self, _: Z0) -> Self::Output

impl Pow<Z0> for i64

type Output = i64

fn powi(self, _: Z0) -> Self::Output

impl Pow<Z0> for isize

type Output = isize

fn powi(self, _: Z0) -> Self::Output

impl Pow<Z0> for u8

type Output = u8

fn powi(self, _: Z0) -> Self::Output

impl Pow<Z0> for u16

type Output = u16

fn powi(self, _: Z0) -> Self::Output

impl Pow<Z0> for u32

type Output = u32

fn powi(self, _: Z0) -> Self::Output

impl Pow<Z0> for u64

type Output = u64

fn powi(self, _: Z0) -> Self::Output

impl Pow<Z0> for usize

type Output = usize

fn powi(self, _: Z0) -> Self::Output

impl Pow<UTerm> for f32

type Output = f32

fn powi(self, _: UTerm) -> Self::Output

impl Pow<UTerm> for f64

type Output = f64

fn powi(self, _: UTerm) -> Self::Output

impl Pow<UTerm> for i8

type Output = i8

fn powi(self, _: UTerm) -> Self::Output

impl Pow<UTerm> for i16

type Output = i16

fn powi(self, _: UTerm) -> Self::Output

impl Pow<UTerm> for i32

type Output = i32

fn powi(self, _: UTerm) -> Self::Output

impl Pow<UTerm> for i64

type Output = i64

fn powi(self, _: UTerm) -> Self::Output

impl Pow<UTerm> for isize

type Output = isize

fn powi(self, _: UTerm) -> Self::Output

impl Pow<UTerm> for u8

type Output = u8

fn powi(self, _: UTerm) -> Self::Output

impl Pow<UTerm> for u16

type Output = u16

fn powi(self, _: UTerm) -> Self::Output

impl Pow<UTerm> for u32

type Output = u32

fn powi(self, _: UTerm) -> Self::Output

impl Pow<UTerm> for u64

type Output = u64

fn powi(self, _: UTerm) -> Self::Output

impl Pow<UTerm> for usize

type Output = usize

fn powi(self, _: UTerm) -> Self::Output

impl<U: Unsigned + NonZero> Pow<NInt<U>> for Z0

0^N = 0

type Output = Z0

fn powi(self, _: NInt<U>) -> Self::Output

impl<U: Unsigned + NonZero> Pow<NInt<U>> for P1

1^N = 1

type Output = P1

fn powi(self, _: NInt<U>) -> Self::Output

impl<U: Unsigned + NonZero> Pow<NInt<U>> for f32

type Output = f32

fn powi(self, _: NInt<U>) -> Self::Output

impl<U: Unsigned + NonZero> Pow<NInt<U>> for f64

type Output = f64

fn powi(self, _: NInt<U>) -> Self::Output

impl<U: Unsigned + NonZero> Pow<PInt<U>> for Z0

0^P = 0

type Output = Z0

fn powi(self, _: PInt<U>) -> Self::Output

impl<U: Unsigned + NonZero> Pow<PInt<U>> for f32

type Output = f32

fn powi(self, _: PInt<U>) -> Self::Output

impl<U: Unsigned + NonZero> Pow<PInt<U>> for f64

type Output = f64

fn powi(self, _: PInt<U>) -> Self::Output

impl<U: Unsigned + NonZero> Pow<PInt<U>> for i8

type Output = i8

fn powi(self, _: PInt<U>) -> Self::Output

impl<U: Unsigned + NonZero> Pow<PInt<U>> for i16

type Output = i16

fn powi(self, _: PInt<U>) -> Self::Output

impl<U: Unsigned + NonZero> Pow<PInt<U>> for i32

type Output = i32

fn powi(self, _: PInt<U>) -> Self::Output

impl<U: Unsigned + NonZero> Pow<PInt<U>> for i64

type Output = i64

fn powi(self, _: PInt<U>) -> Self::Output

impl<U: Unsigned + NonZero> Pow<PInt<U>> for isize

type Output = isize

fn powi(self, _: PInt<U>) -> Self::Output

impl<U: Unsigned + NonZero> Pow<PInt<U>> for u8

type Output = u8

fn powi(self, _: PInt<U>) -> Self::Output

impl<U: Unsigned + NonZero> Pow<PInt<U>> for u16

type Output = u16

fn powi(self, _: PInt<U>) -> Self::Output

impl<U: Unsigned + NonZero> Pow<PInt<U>> for u32

type Output = u32

fn powi(self, _: PInt<U>) -> Self::Output

impl<U: Unsigned + NonZero> Pow<PInt<U>> for u64

type Output = u64

fn powi(self, _: PInt<U>) -> Self::Output

impl<U: Unsigned + NonZero> Pow<PInt<U>> for usize

type Output = usize

fn powi(self, _: PInt<U>) -> Self::Output

impl<U: Unsigned + NonZero> Pow<Z0> for NInt<U>

N^0 = 1

type Output = P1

fn powi(self, _: Z0) -> Self::Output

impl<U: Unsigned + NonZero> Pow<Z0> for PInt<U>

P^0 = 1

type Output = P1

fn powi(self, _: Z0) -> Self::Output

impl<U: Unsigned> Pow<NInt<UInt<U, B0>>> for N1

(-1)^N = 1 if N is even

type Output = P1

fn powi(self, _: NInt<UInt<U, B0>>) -> Self::Output

impl<U: Unsigned> Pow<NInt<UInt<U, B1>>> for N1

(-1)^N = -1 if N is odd

type Output = N1

fn powi(self, _: NInt<UInt<U, B1>>) -> Self::Output

impl<U: Unsigned, B: Bit> Pow<UInt<U, B>> for f32

type Output = f32

fn powi(self, _: UInt<U, B>) -> Self::Output

impl<U: Unsigned, B: Bit> Pow<UInt<U, B>> for f64

type Output = f64

fn powi(self, _: UInt<U, B>) -> Self::Output

impl<U: Unsigned, B: Bit> Pow<UInt<U, B>> for i8

type Output = i8

fn powi(self, _: UInt<U, B>) -> Self::Output

impl<U: Unsigned, B: Bit> Pow<UInt<U, B>> for i16

type Output = i16

fn powi(self, _: UInt<U, B>) -> Self::Output

impl<U: Unsigned, B: Bit> Pow<UInt<U, B>> for i32

type Output = i32

fn powi(self, _: UInt<U, B>) -> Self::Output

impl<U: Unsigned, B: Bit> Pow<UInt<U, B>> for i64

type Output = i64

fn powi(self, _: UInt<U, B>) -> Self::Output

impl<U: Unsigned, B: Bit> Pow<UInt<U, B>> for isize

type Output = isize

fn powi(self, _: UInt<U, B>) -> Self::Output

impl<U: Unsigned, B: Bit> Pow<UInt<U, B>> for u8

type Output = u8

fn powi(self, _: UInt<U, B>) -> Self::Output

impl<U: Unsigned, B: Bit> Pow<UInt<U, B>> for u16

type Output = u16

fn powi(self, _: UInt<U, B>) -> Self::Output

impl<U: Unsigned, B: Bit> Pow<UInt<U, B>> for u32

type Output = u32

fn powi(self, _: UInt<U, B>) -> Self::Output

impl<U: Unsigned, B: Bit> Pow<UInt<U, B>> for u64

type Output = u64

fn powi(self, _: UInt<U, B>) -> Self::Output

impl<U: Unsigned, B: Bit> Pow<UInt<U, B>> for usize

type Output = usize

fn powi(self, _: UInt<U, B>) -> Self::Output

impl<Ul: Unsigned + NonZero, Ur: Unsigned + NonZero> Pow<PInt<Ur>> for PInt<Ul> where
    Ul: Pow<Ur>,
    <Ul as Pow<Ur>>::Output: Unsigned + NonZero, 

P(Ul)^P(Ur) = P(Ul^Ur)

type Output = PInt<<Ul as Pow<Ur>>::Output>

fn powi(self, _: PInt<Ur>) -> Self::Output

impl<Ul: Unsigned + NonZero, Ur: Unsigned> Pow<PInt<UInt<Ur, B0>>> for NInt<Ul> where
    Ul: Pow<UInt<Ur, B0>>,
    <Ul as Pow<UInt<Ur, B0>>>::Output: Unsigned + NonZero, 

N(Ul)^P(Ur) = P(Ul^Ur) if Ur is even

type Output = PInt<<Ul as Pow<UInt<Ur, B0>>>::Output>

fn powi(self, _: PInt<UInt<Ur, B0>>) -> Self::Output

impl<Ul: Unsigned + NonZero, Ur: Unsigned> Pow<PInt<UInt<Ur, B1>>> for NInt<Ul> where
    Ul: Pow<UInt<Ur, B1>>,
    <Ul as Pow<UInt<Ur, B1>>>::Output: Unsigned + NonZero, 

N(Ul)^P(Ur) = N(Ul^Ur) if Ur is odd

type Output = NInt<<Ul as Pow<UInt<Ur, B1>>>::Output>

fn powi(self, _: PInt<UInt<Ur, B1>>) -> Self::Output

impl<X: Unsigned, N: Unsigned> Pow<N> for X where
    X: PrivatePow<U1, N>, 

X^N

type Output = PrivatePowOut<X, U1, N>

fn powi(self, n: N) -> Self::Output

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