binius_core::protocols::sumcheck_v2

Struct RoundProof

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pub struct RoundProof<F: Field>(/* private fields */);
Expand description

A sumcheck round proof is a univariate polynomial in monomial basis with the coefficient of the highest-degree term truncated off.

Since the verifier knows the claimed sum of the polynomial values at the points 0 and 1, the high-degree term coefficient can be easily recovered. Truncating the coefficient off saves a small amount of proof data.

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impl<F: Field> RoundProof<F>

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pub fn recover(self, sum: F) -> RoundCoeffs<F>

Recovers all univariate polynomial coefficients from the compressed round proof.

The prover has sent coefficients for the purported ith round polynomial $r_i(X) = \sum_{j=0}^d a_j * X^j$. However, the prover has not sent the highest degree coefficient $a_d$. The verifier will need to recover this missing coefficient.

Let $s$ denote the current round’s claimed sum. The verifier expects the round polynomial $r_i$ to satisfy the identity $s = r_i(0) + r_i(1)$. Using $r_i(0) = a_0$ $r_i(1) = \sum_{j=0}^d a_j$ There is a unique $a_d$ that allows $r_i$ to satisfy the above identity. Specifically $a_d = s - a_0 - \sum_{j=0}^{d-1} a_j$

Not sending the whole round polynomial is an optimization. In the unoptimized version of the protocol, the verifier will halt and reject if given a round polynomial that does not satisfy the above identity.

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pub fn coeffs(&self) -> &[F]

The truncated polynomial coefficients.

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pub fn isomorphic<FI: Field + From<F>>(self) -> RoundProof<FI>

Representation in an isomorphic field

Trait Implementations§

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impl<F: Clone + Field> Clone for RoundProof<F>

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fn clone(&self) -> RoundProof<F>

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<F: Debug + Field> Debug for RoundProof<F>

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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<F: Default + Field> Default for RoundProof<F>

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fn default() -> RoundProof<F>

Returns the “default value” for a type. Read more
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impl<F: PartialEq + Field> PartialEq for RoundProof<F>

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fn eq(&self, other: &RoundProof<F>) -> 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<F: Eq + Field> Eq for RoundProof<F>

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impl<F: Field> StructuralPartialEq for RoundProof<F>

Auto Trait Implementations§

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impl<F> Freeze for RoundProof<F>
where <F as WithUnderlier>::Underlier: Sized,

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impl<F> RefUnwindSafe for RoundProof<F>

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impl<F> Send for RoundProof<F>
where <F as WithUnderlier>::Underlier: Sized,

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impl<F> Sync for RoundProof<F>
where <F as WithUnderlier>::Underlier: Sized,

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impl<F> Unpin for RoundProof<F>
where <F as WithUnderlier>::Underlier: Sized, F: Unpin,

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impl<F> UnwindSafe for RoundProof<F>

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

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unsafe fn drop(ptr: usize)

Drops the object pointed to by the given pointer. Read more
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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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where V: MultiLane<T>,

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fn vzip(self) -> V

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