num_integer

Struct ExtendedGcd

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pub struct ExtendedGcd<A> {
    pub gcd: A,
    pub x: A,
    pub y: A,
}
Expand description

Greatest common divisor and Bézout coefficients

let e = isize::extended_gcd(a, b);
assert_eq!(e.gcd, e.x*a + e.y*b);

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§gcd: A§x: A§y: A

Trait Implementations§

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impl<A: Clone> Clone for ExtendedGcd<A>

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fn clone(&self) -> ExtendedGcd<A>

Returns a copy of the value. Read more
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fn clone_from(&mut self, source: &Self)

Performs copy-assignment from source. Read more
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impl<A: Debug> Debug for ExtendedGcd<A>

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fn fmt(&self, f: &mut Formatter<'_>) -> Result

Formats the value using the given formatter. Read more
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impl<A: PartialEq> PartialEq for ExtendedGcd<A>

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fn eq(&self, other: &ExtendedGcd<A>) -> bool

Tests for self and other values to be equal, and is used by ==.
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fn ne(&self, other: &Rhs) -> bool

Tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason.
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impl<A: Copy> Copy for ExtendedGcd<A>

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impl<A: Eq> Eq for ExtendedGcd<A>

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impl<A> StructuralPartialEq for ExtendedGcd<A>

Auto Trait Implementations§

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impl<A> Freeze for ExtendedGcd<A>
where A: Freeze,

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impl<A> RefUnwindSafe for ExtendedGcd<A>
where A: RefUnwindSafe,

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impl<A> Send for ExtendedGcd<A>
where A: Send,

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impl<A> Sync for ExtendedGcd<A>
where A: Sync,

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impl<A> Unpin for ExtendedGcd<A>
where A: Unpin,

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impl<A> UnwindSafe for ExtendedGcd<A>
where A: UnwindSafe,

Blanket Implementations§

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impl<T> Any for T
where T: 'static + ?Sized,

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fn type_id(&self) -> TypeId

Gets the TypeId of self. Read more
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impl<T> Borrow<T> for T
where T: ?Sized,

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fn borrow(&self) -> &T

Immutably borrows from an owned value. Read more
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impl<T> BorrowMut<T> for T
where T: ?Sized,

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fn borrow_mut(&mut self) -> &mut T

Mutably borrows from an owned value. Read more
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impl<T> CloneToUninit for T
where T: Clone,

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unsafe fn clone_to_uninit(&self, dst: *mut T)

🔬This is a nightly-only experimental API. (clone_to_uninit)
Performs copy-assignment from self to dst. Read more
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impl<T> From<T> for T

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fn from(t: T) -> T

Returns the argument unchanged.

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impl<T, U> Into<U> for T
where U: From<T>,

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fn into(self) -> U

Calls U::from(self).

That is, this conversion is whatever the implementation of From<T> for U chooses to do.

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impl<T> ToOwned for T
where T: Clone,

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type Owned = T

The resulting type after obtaining ownership.
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fn to_owned(&self) -> T

Creates owned data from borrowed data, usually by cloning. Read more
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fn clone_into(&self, target: &mut T)

Uses borrowed data to replace owned data, usually by cloning. Read more
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impl<T, U> TryFrom<U> for T
where U: Into<T>,

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type Error = Infallible

The type returned in the event of a conversion error.
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fn try_from(value: U) -> Result<T, <T as TryFrom<U>>::Error>

Performs the conversion.
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impl<T, U> TryInto<U> for T
where U: TryFrom<T>,

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type Error = <U as TryFrom<T>>::Error

The type returned in the event of a conversion error.
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fn try_into(self) -> Result<U, <U as TryFrom<T>>::Error>

Performs the conversion.