binius_core::composition::mix

Struct MixComposition

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pub struct MixComposition<P: PackedField, IC> { /* private fields */ }
Expand description

A composition polynomial that securely batches several underlying multivariate polynomials.

Given several sumcheck instances over different multivariate polynomials, it is a useful optimization to batch them together by taking a linear combination. Since sumcheck verifies the sum of the values of a multivariate’s evaluations, the summation over the hypercube commutes with a linear combination of the polynomials.

The MixComposition chooses the multiplicative coefficients so that a batched sumcheck on the composed polynomial succeeds if and only if all of the underlying sumcheck statements would also succeed (with high probability). The current implementation uses powers of an interactively verifier-sampled challenge as mixing coefficients, and soundness of the batching technique holds following the Schwartz-Zippel lemma.

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impl<P: PackedField, IC> MixComposition<P, IC>

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pub fn include<Q>( self, compositions: Q, ) -> Result<MixComposition<P, (Vec<Q::Item>, IC)>, Error>

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impl<P: PackedField, IC: HornerCompositions<P>> MixComposition<P, IC>

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pub fn evaluate_with_inner_evals( &self, inner_evals: &[P::Scalar], ) -> Result<P::Scalar, Error>

Trait Implementations§

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impl<P: Clone + PackedField, IC: Clone> Clone for MixComposition<P, IC>
where P::Scalar: Clone,

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fn clone(&self) -> MixComposition<P, IC>

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<P, IC> CompositionPoly<P> for MixComposition<P, IC>
where P: PackedField<Scalar: TowerField>, IC: HornerCompositions<P> + Clone + Debug + Send + Sync,

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fn n_vars(&self) -> usize

The number of variables.
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fn degree(&self) -> usize

Total degree of the polynomial.
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fn evaluate(&self, query: &[P]) -> Result<P, Error>

Evaluates the polynomial using packed values, where each packed value may contain multiple scalar values. The evaluation follows SIMD semantics, meaning that operations are performed element-wise across corresponding scalar values in the packed values. Read more
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fn binary_tower_level(&self) -> usize

Returns the maximum binary tower level of all constants in the arithmetic expression.
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fn sparse_batch_evaluate( &self, sparse_batch_query: &[&[P]], evals: &mut [P], ) -> Result<(), Error>

Batch evaluation that admits non-strided argument layout. sparse_batch_query is a slice of slice references of equal length, which furthermore should equal the length of evals parameter. Read more
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impl<P: Debug + PackedField, IC: Debug> Debug for MixComposition<P, IC>
where P::Scalar: Debug,

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

Formats the value using the given formatter. Read more

Auto Trait Implementations§

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impl<P, IC> Freeze for MixComposition<P, IC>
where <P as PackedField>::Scalar: Freeze, IC: Freeze,

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impl<P, IC> RefUnwindSafe for MixComposition<P, IC>

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impl<P, IC> Send for MixComposition<P, IC>
where IC: Send,

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impl<P, IC> Sync for MixComposition<P, IC>
where IC: Sync,

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impl<P, IC> Unpin for MixComposition<P, IC>
where <P as PackedField>::Scalar: Unpin, IC: Unpin,

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impl<P, IC> UnwindSafe for MixComposition<P, IC>

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> Instrument for T

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fn instrument(self, span: Span) -> Instrumented<Self>

Instruments this type with the provided [Span], returning an Instrumented wrapper. Read more
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fn in_current_span(self) -> Instrumented<Self>

Instruments this type with the current Span, returning an Instrumented wrapper. Read more
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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.
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impl<V, T> VZip<V> for T
where V: MultiLane<T>,

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fn vzip(self) -> V

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impl<T> WithSubscriber for T

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fn with_subscriber<S>(self, subscriber: S) -> WithDispatch<Self>
where S: Into<Dispatch>,

Attaches the provided Subscriber to this type, returning a [WithDispatch] wrapper. Read more
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fn with_current_subscriber(self) -> WithDispatch<Self>

Attaches the current default Subscriber to this type, returning a [WithDispatch] wrapper. Read more