feanor_math::algorithms::poly_gcd::local

Struct ReductionContext

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pub struct ReductionContext<'ring, 'data, R>
where R: 'ring + ?Sized + PolyGCDLocallyDomain, 'ring: 'data,
{ /* private fields */ }
Expand description

The sequence of maps R -> R/m1^e x ... x R/mr^e -> R/m1 x ... x R/mr, where m1, ..., mr are the maximal ideals containing I, as specified by PolyGCDLocallyDomain.

This sequence of maps is very relevant when using the compute-mod-p-and-lift approach for polynomial operations over infinite rings (e.g. QQ). This is also the primary use case for ReductionContext.

§Availability

This API is marked as unstable and is only available when the unstable-enable crate feature is enabled. This comes with no stability guarantees, and could be changed or removed at any time.

Implementations§

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impl<'ring, 'data, R> ReductionContext<'ring, 'data, R>
where R: 'ring + ?Sized + PolyGCDLocallyDomain, 'ring: 'data,

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pub fn new( ring: &'data R, ideal: &'data R::SuitableIdeal<'ring>, e: usize, ) -> Self

§Availability

This API is marked as unstable and is only available when the unstable-enable crate feature is enabled. This comes with no stability guarantees, and could be changed or removed at any time.

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pub fn ideal(&self) -> &'data R::SuitableIdeal<'ring>

§Availability

This API is marked as unstable and is only available when the unstable-enable crate feature is enabled. This comes with no stability guarantees, and could be changed or removed at any time.

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pub fn main_ring_to_field_reduction<'local>( &'local self, max_ideal_idx: usize, ) -> PolyGCDLocallyReductionMap<'ring, 'data, 'local, R>

§Availability

This API is marked as unstable and is only available when the unstable-enable crate feature is enabled. This comes with no stability guarantees, and could be changed or removed at any time.

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pub fn main_ring_to_intermediate_ring_reduction<'local>( &'local self, max_ideal_idx: usize, ) -> PolyGCDLocallyReductionMap<'ring, 'data, 'local, R>

§Availability

This API is marked as unstable and is only available when the unstable-enable crate feature is enabled. This comes with no stability guarantees, and could be changed or removed at any time.

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pub fn intermediate_ring_to_field_reduction<'local>( &'local self, max_ideal_idx: usize, ) -> PolyGCDLocallyIntermediateReductionMap<'ring, 'data, 'local, R>

§Availability

This API is marked as unstable and is only available when the unstable-enable crate feature is enabled. This comes with no stability guarantees, and could be changed or removed at any time.

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pub fn len(&self) -> usize

§Availability

This API is marked as unstable and is only available when the unstable-enable crate feature is enabled. This comes with no stability guarantees, and could be changed or removed at any time.

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pub fn reconstruct_ring_el<'local, V>(&self, els: V) -> R::Element
where V: VectorFn<&'local El<R::LocalRing<'ring>>>, El<R::LocalRing<'ring>>: 'local, 'ring: 'local,

§Availability

This API is marked as unstable and is only available when the unstable-enable crate feature is enabled. This comes with no stability guarantees, and could be changed or removed at any time.

Auto Trait Implementations§

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impl<'ring, 'data, R> Freeze for ReductionContext<'ring, 'data, R>
where R: ?Sized,

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impl<'ring, 'data, R> RefUnwindSafe for ReductionContext<'ring, 'data, R>

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impl<'ring, 'data, R> Send for ReductionContext<'ring, 'data, R>
where <R as PolyGCDLocallyDomain>::SuitableIdeal<'ring>: Sync, R: Sync + ?Sized, <R as PolyGCDLocallyDomain>::LocalRing<'ring>: Send,

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impl<'ring, 'data, R> Sync for ReductionContext<'ring, 'data, R>
where <R as PolyGCDLocallyDomain>::SuitableIdeal<'ring>: Sync, R: Sync + ?Sized, <R as PolyGCDLocallyDomain>::LocalRing<'ring>: Sync,

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impl<'ring, 'data, R> Unpin for ReductionContext<'ring, 'data, R>
where <R as PolyGCDLocallyDomain>::LocalRing<'ring>: Unpin, R: ?Sized,

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impl<'ring, 'data, R> UnwindSafe for ReductionContext<'ring, 'data, R>

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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> 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, 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.