ark_r1cs_std::poly::domain::vanishing_poly

Struct VanishingPolynomial

pub struct VanishingPolynomial<F: Field> {
    pub constant_term: F,
    pub dim_h: u64,
    pub order_h: u64,
}

Expand description

Struct describing vanishing polynomial for a multiplicative coset H where |H| is a power of 2. As H is a coset, every element can be described as h*g^i and therefore has vanishing polynomial Z_H(x) = x^|H| - h^|H|

Fields§

§constant_term: F

h^|H|

§dim_h: u64

log_2(|H|)

§order_h: u64

|H|

Implementations§

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impl<F: PrimeField> VanishingPolynomial<F>

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pub fn new(offset: F, dim_h: u64) -> Self

returns a VanishingPolynomial of coset H = h<g>.

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pub fn evaluate(&self, x: &F) -> F

Evaluates the vanishing polynomial without generating the constraints.

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pub fn evaluate_constraints( &self, x: &FpVar<F>, ) -> Result<FpVar<F>, SynthesisError>

Evaluates the constraints and just gives you the gadget for the result. Caution for use in holographic lincheck: The output has 2 entries in one matrix

Trait Implementations§

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

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fn clone(&self) -> VanishingPolynomial<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

Auto Trait Implementations§

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impl<F> UnwindSafe for VanishingPolynomial<F>
where F: UnwindSafe,

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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 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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