Trait typenum::type_operators::Gcd [−][src]
pub trait Gcd<Rhs> { type Output; }
Expand description
A type operator that computes the greatest common divisor of Self
and Rhs
.
Example
use typenum::{Gcd, Unsigned, U12, U8}; assert_eq!(<U12 as Gcd<U8>>::Output::to_i32(), 4);
Associated Types
Implementors
gcd(x, y) = 2*gcd(x/2, y/2) if both x and y even
gcd(x, y) = gcd(x, y/2) if x odd and y even
gcd(x, y) = gcd(x/2, y) if x even and y odd
impl<Xp, Yp> Gcd<UInt<Yp, B1>> for UInt<Xp, B1> where
UInt<Xp, B1>: Max<UInt<Yp, B1>> + Min<UInt<Yp, B1>>,
UInt<Yp, B1>: Max<UInt<Xp, B1>> + Min<UInt<Xp, B1>>,
Maximum<UInt<Xp, B1>, UInt<Yp, B1>>: Sub<Minimum<UInt<Xp, B1>, UInt<Yp, B1>>>,
Diff<Maximum<UInt<Xp, B1>, UInt<Yp, B1>>, Minimum<UInt<Xp, B1>, UInt<Yp, B1>>>: Gcd<Minimum<UInt<Xp, B1>, UInt<Yp, B1>>>,
[src]
impl<Xp, Yp> Gcd<UInt<Yp, B1>> for UInt<Xp, B1> where
UInt<Xp, B1>: Max<UInt<Yp, B1>> + Min<UInt<Yp, B1>>,
UInt<Yp, B1>: Max<UInt<Xp, B1>> + Min<UInt<Xp, B1>>,
Maximum<UInt<Xp, B1>, UInt<Yp, B1>>: Sub<Minimum<UInt<Xp, B1>, UInt<Yp, B1>>>,
Diff<Maximum<UInt<Xp, B1>, UInt<Yp, B1>>, Minimum<UInt<Xp, B1>, UInt<Yp, B1>>>: Gcd<Minimum<UInt<Xp, B1>, UInt<Yp, B1>>>,
[src]gcd(x, y) = gcd([max(x, y) - min(x, y)], min(x, y)) if both x and y odd
This will immediately invoke the case for x even and y odd because the difference of two odd numbers is an even number.