Trait AbstractSumcheckWitness

pub trait AbstractSumcheckWitness<PW: PackedField> {
    type MultilinearId: Clone + Hash + Eq + Sync;
    type Composition: CompositionPoly<PW>;
    type Multilinear: MultilinearPoly<PW> + Send + Sync;

    // Required methods
    fn composition(&self) -> &Self::Composition;
    fn multilinears(
        &self,
        seq_id: usize,
        claim_multilinear_ids: &[Self::MultilinearId],
    ) -> Result<impl IntoIterator<Item = (Self::MultilinearId, Self::Multilinear)>, Error>;
}

Polynomial must be representable as a composition of multilinear polynomials

Required Associated Types

type MultilinearId: Clone + Hash + Eq + Sync

Some identifier of a multilinear witness that is used to deduplicate the witness index when folding.

type Composition: CompositionPoly<PW>

type Multilinear: MultilinearPoly<PW> + Send + Sync

Required Methods

fn composition(&self) -> &Self::Composition

fn multilinears( &self, seq_id: usize, claim_multilinear_ids: &[Self::MultilinearId], ) -> Result<impl IntoIterator<Item = (Self::MultilinearId, Self::Multilinear)>, Error>

Extract multilinear witnesses out of composite sumcheck witness.

Arguments:

• seq_id: Sequential id of the sumcheck instance in a batch (treat as if assigned arbitrarily)
• claim_multilinear_ids: Multilinear identifiers extracted from a claim.

Object Safety

This trait is not object safe.

Implementations on Foreign Types

impl<'a, PW: PackedField, T: 'a + AbstractSumcheckWitness<PW> + ?Sized> AbstractSumcheckWitness<PW> for &'a T

type MultilinearId = <T as AbstractSumcheckWitness<PW>>::MultilinearId

type Composition = <T as AbstractSumcheckWitness<PW>>::Composition

type Multilinear = <T as AbstractSumcheckWitness<PW>>::Multilinear

fn composition(&self) -> &Self::Composition

fn multilinears( &self, seq_id: usize, claim_multilinear_ids: &[Self::MultilinearId], ) -> Result<impl IntoIterator<Item = (Self::MultilinearId, Self::Multilinear)>, Error>

Implementors

impl<P, C, M> AbstractSumcheckWitness<P> for MultilinearComposite<P, C, M>

where P: PackedField, C: CompositionPoly<P>, M: MultilinearPoly<P> + Clone + Send + Sync,

type MultilinearId = usize

type Composition = C

type Multilinear = M

impl<P, C, M> AbstractSumcheckWitness<P> for GkrSumcheckWitness<P, C, M>

where P: PackedField, C: CompositionPoly<P>, M: MultilinearPoly<P> + Clone + Send + Sync,

type MultilinearId = (usize, usize)

type Composition = C

type Multilinear = M