Struct binius_core::transparent::eq_ind::EqIndPartialEval

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pub struct EqIndPartialEval<F: Field> { /* private fields */ }
Expand description

Represents the MLE of the eq(X, Y) polynomial on 2*n_vars variables partially evaluated at Y = r

Recall that the multilinear polynomial eq(X, Y) is defined s.t. $\forall x, y \in {0, 1}^{\mu}$, eq(x, y) = 1 iff x = y and eq(x, y) = 0 otherwise. Specifically, the function is defined like so $\prod_{i=0}^{\mu - 1} (X_i * Y_i + (1 - X_i)(1-Y_i))$

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impl<F: Field> EqIndPartialEval<F>

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pub fn new(n_vars: usize, r: Vec<F>) -> Result<Self, Error>

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pub fn multilinear_extension<P: PackedField<Scalar = F>, Backend: ComputationBackend>( &self, backend: Backend ) -> Result<MultilinearExtension<P, Backend::Vec<P>>, Error>

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impl<F: Debug + Field> Debug for EqIndPartialEval<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: TowerField, P: PackedField<Scalar = F>> MultivariatePoly<P> for EqIndPartialEval<F>

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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>

Evaluate the polynomial at a point in the extension field.
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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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impl<F> Freeze for EqIndPartialEval<F>
where <F as WithUnderlier>::Underlier: PackScalar<F> + UnderlierType + Sync + Send + Zeroable + NoUninit + Random + Copy + Clone + ConstantTimeEq + Eq + PartialEq + Default + Debug + Sized + 'static, F: WithUnderlier + Zeroable + InvertOrZero + Square + for<'a> MulAssign<&'a F> + for<'a> SubAssign<&'a F> + for<'a> AddAssign<&'a F> + MulAssign + SubAssign + AddAssign + for<'a> Product<&'a F> + for<'a> Sum<&'a F> + for<'a> Mul<&'a F, Output = F, Output = F> + for<'a> Sub<&'a F, Output = F, Output = F> + for<'a> Add<&'a F, Output = F, Output = F> + Product + Sum + Mul + Sub + Add + Neg<Output = F> + Debug + Sync + Send + Default + Clone + Copy + Eq + PartialEq + 'static,

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impl<F> RefUnwindSafe for EqIndPartialEval<F>
where <F as WithUnderlier>::Underlier: PackScalar<F> + UnderlierType + Sync + Send + Zeroable + NoUninit + Random + Copy + Clone + ConstantTimeEq + Eq + PartialEq + Default + Debug + Sized + 'static, F: WithUnderlier + Zeroable + InvertOrZero + Square + for<'a> MulAssign<&'a F> + for<'a> SubAssign<&'a F> + for<'a> AddAssign<&'a F> + MulAssign + SubAssign + AddAssign + for<'a> Product<&'a F> + for<'a> Sum<&'a F> + for<'a> Mul<&'a F, Output = F, Output = F> + for<'a> Sub<&'a F, Output = F, Output = F> + for<'a> Add<&'a F, Output = F, Output = F> + Product + Sum + Mul + Sub + Add + Neg<Output = F> + Debug + Sync + Send + Default + Clone + Copy + Eq + PartialEq + 'static + RefUnwindSafe,

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impl<F> Send for EqIndPartialEval<F>
where <F as WithUnderlier>::Underlier: PackScalar<F> + UnderlierType + Sync + Send + Zeroable + NoUninit + Random + Copy + Clone + ConstantTimeEq + Eq + PartialEq + Default + Debug + Sized + 'static, F: WithUnderlier + Zeroable + InvertOrZero + Square + for<'a> MulAssign<&'a F> + for<'a> SubAssign<&'a F> + for<'a> AddAssign<&'a F> + MulAssign + SubAssign + AddAssign + for<'a> Product<&'a F> + for<'a> Sum<&'a F> + for<'a> Mul<&'a F, Output = F, Output = F> + for<'a> Sub<&'a F, Output = F, Output = F> + for<'a> Add<&'a F, Output = F, Output = F> + Product + Sum + Mul + Sub + Add + Neg<Output = F> + Debug + Sync + Send + Default + Clone + Copy + Eq + PartialEq + 'static,

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impl<F> Sync for EqIndPartialEval<F>
where <F as WithUnderlier>::Underlier: PackScalar<F> + UnderlierType + Sync + Send + Zeroable + NoUninit + Random + Copy + Clone + ConstantTimeEq + Eq + PartialEq + Default + Debug + Sized + 'static, F: WithUnderlier + Zeroable + InvertOrZero + Square + for<'a> MulAssign<&'a F> + for<'a> SubAssign<&'a F> + for<'a> AddAssign<&'a F> + MulAssign + SubAssign + AddAssign + for<'a> Product<&'a F> + for<'a> Sum<&'a F> + for<'a> Mul<&'a F, Output = F, Output = F> + for<'a> Sub<&'a F, Output = F, Output = F> + for<'a> Add<&'a F, Output = F, Output = F> + Product + Sum + Mul + Sub + Add + Neg<Output = F> + Debug + Sync + Send + Default + Clone + Copy + Eq + PartialEq + 'static,

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impl<F> Unpin for EqIndPartialEval<F>
where <F as WithUnderlier>::Underlier: PackScalar<F> + UnderlierType + Sync + Send + Zeroable + NoUninit + Random + Copy + Clone + ConstantTimeEq + Eq + PartialEq + Default + Debug + Sized + 'static, F: WithUnderlier + Zeroable + InvertOrZero + Square + for<'a> MulAssign<&'a F> + for<'a> SubAssign<&'a F> + for<'a> AddAssign<&'a F> + MulAssign + SubAssign + AddAssign + for<'a> Product<&'a F> + for<'a> Sum<&'a F> + for<'a> Mul<&'a F, Output = F, Output = F> + for<'a> Sub<&'a F, Output = F, Output = F> + for<'a> Add<&'a F, Output = F, Output = F> + Product + Sum + Mul + Sub + Add + Neg<Output = F> + Debug + Sync + Send + Default + Clone + Copy + Eq + PartialEq + 'static + Unpin,

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impl<F> UnwindSafe for EqIndPartialEval<F>
where <F as WithUnderlier>::Underlier: PackScalar<F> + UnderlierType + Sync + Send + Zeroable + NoUninit + Random + Copy + Clone + ConstantTimeEq + Eq + PartialEq + Default + Debug + Sized + 'static, F: WithUnderlier + Zeroable + InvertOrZero + Square + for<'a> MulAssign<&'a F> + for<'a> SubAssign<&'a F> + for<'a> AddAssign<&'a F> + MulAssign + SubAssign + AddAssign + for<'a> Product<&'a F> + for<'a> Sum<&'a F> + for<'a> Mul<&'a F, Output = F, Output = F> + for<'a> Sub<&'a F, Output = F, Output = F> + for<'a> Add<&'a F, Output = F, Output = F> + Product + Sum + Mul + Sub + Add + Neg<Output = F> + Debug + Sync + Send + Default + Clone + Copy + Eq + PartialEq + 'static + UnwindSafe,

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impl<T> Any for T
where T: 'static + ?Sized,

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const ALIGN: usize = _

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