feanor_math::homomorphism

Struct IntHom

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pub struct IntHom<R>
where R: RingStore,
{ /* private fields */ }
Expand description

The ring homomorphism Z -> R that exists for any ring R.

§Example

let ring = zn_static::F17;
let hom = ring.int_hom();
assert_el_eq!(ring, hom.map(1), hom.map(18));

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impl<R> IntHom<R>
where R: RingStore,

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pub fn new(ring: R) -> Self

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impl<R> Clone for IntHom<R>
where R: RingStore + Clone,

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fn clone(&self) -> IntHom<R>

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<R> Homomorphism<StaticRingBase<i32>, <R as RingStore>::Type> for IntHom<R>
where R: RingStore,

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type CodomainStore = R

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type DomainStore = RingValue<StaticRingBase<i32>>

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fn domain<'a>(&'a self) -> &'a Self::DomainStore

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fn codomain<'a>(&'a self) -> &'a Self::CodomainStore

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fn map(&self, x: i32) -> <R::Type as RingBase>::Element

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fn mul_assign_map(&self, lhs: &mut <R::Type as RingBase>::Element, rhs: i32)

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fn mul_assign_ref_map( &self, lhs: &mut <R::Type as RingBase>::Element, rhs: &<StaticRingBase<i32> as RingBase>::Element, )

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fn map_ref(&self, x: &Domain::Element) -> Codomain::Element

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fn mul_map( &self, lhs: Codomain::Element, rhs: Domain::Element, ) -> Codomain::Element

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fn mul_ref_fst_map( &self, lhs: &Codomain::Element, rhs: Domain::Element, ) -> Codomain::Element

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fn mul_ref_snd_map( &self, lhs: Codomain::Element, rhs: &Domain::Element, ) -> Codomain::Element

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fn mul_ref_map( &self, lhs: &Codomain::Element, rhs: &Domain::Element, ) -> Codomain::Element

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fn compose<F, PrevDomain: ?Sized + RingBase>( self, prev: F, ) -> ComposedHom<PrevDomain, Domain, Codomain, F, Self>
where Self: Sized, F: Homomorphism<PrevDomain, Domain>,

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impl<R> Copy for IntHom<R>
where R: Copy + RingStore, El<R>: Copy,

Auto Trait Implementations§

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impl<R> Freeze for IntHom<R>
where R: Freeze,

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impl<R> RefUnwindSafe for IntHom<R>
where R: RefUnwindSafe,

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impl<R> Send for IntHom<R>
where R: Send,

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impl<R> Sync for IntHom<R>
where R: Sync,

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impl<R> Unpin for IntHom<R>
where R: Unpin,

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impl<R> UnwindSafe for IntHom<R>
where R: UnwindSafe,

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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 u8)

🔬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> IntoEither for T

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fn into_either(self, into_left: bool) -> Either<Self, Self>

Converts self into a Left variant of Either<Self, Self> if into_left is true. Converts self into a Right variant of Either<Self, Self> otherwise. Read more
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fn into_either_with<F>(self, into_left: F) -> Either<Self, Self>
where F: FnOnce(&Self) -> bool,

Converts self into a Left variant of Either<Self, Self> if into_left(&self) returns true. Converts self into a Right variant of Either<Self, Self> otherwise. Read more
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impl<T> Pointable for T

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const ALIGN: usize

The alignment of pointer.
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type Init = T

The type for initializers.
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unsafe fn init(init: <T as Pointable>::Init) -> usize

Initializes a with the given initializer. Read more
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unsafe fn deref<'a>(ptr: usize) -> &'a T

Dereferences the given pointer. Read more
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unsafe fn deref_mut<'a>(ptr: usize) -> &'a mut T

Mutably dereferences the given pointer. Read more
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unsafe fn drop(ptr: usize)

Drops the object pointed to by the given pointer. Read more
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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.