Struct CircleDomain

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pub struct CircleDomain<F> { /* private fields */ }
Expand description

A twin-coset of the circle group on F. It has a power-of-two size and an arbitrary shift.

X is generator, O is the first coset, goes counterclockwise

  O X .
 .     .
.       O <- start = shift
.   .   - (1,0)
O       .
 .     .
  . . O

For ordering reasons, the other half will start at gen / shift:

  . X O  <- start = gen/shift
 .     .
O       .
.   .   - (1,0)
.       O
 .     .
  O . .

The full domain is the interleaving of these two cosets

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impl<F: ComplexExtendable> CircleDomain<F>

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pub const fn new(log_n: usize, shift: Point<F>) -> Self

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pub fn standard(log_n: usize) -> Self

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impl<F: Clone> Clone for CircleDomain<F>

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

Returns a duplicate 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> Debug for CircleDomain<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: PartialEq> PartialEq for CircleDomain<F>

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fn eq(&self, other: &CircleDomain<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: ComplexExtendable> PolynomialSpace for CircleDomain<F>

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fn split_domains(&self, num_chunks: usize) -> Vec<Self>

Decompose a domain into disjoint twin-cosets.

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type Val = F

The base field F.
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fn size(&self) -> usize

The number of elements of the space.
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fn first_point(&self) -> Self::Val

The first point in the space.
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fn next_point<Ext: ExtensionField<Self::Val>>(&self, x: Ext) -> Option<Ext>

An algebraic function which takes the i’th element of the space and returns the (i+1)’th evaluated on the given point. Read more
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fn create_disjoint_domain(&self, min_size: usize) -> Self

Return another PolynomialSpace with size at least min_size disjoint from this space. Read more
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fn split_evals( &self, num_chunks: usize, evals: RowMajorMatrix<Self::Val>, ) -> Vec<RowMajorMatrix<Self::Val>>

Split a set of polynomial evaluations over this PolynomialSpace into a vector of polynomial evaluations over each PolynomialSpace generated from split_domains. Read more
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fn vanishing_poly_at_point<Ext: ExtensionField<Self::Val>>( &self, point: Ext, ) -> Ext

Compute the vanishing polynomial of the space, evaluated at the given point. Read more
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fn selectors_at_point<Ext: ExtensionField<Self::Val>>( &self, point: Ext, ) -> LagrangeSelectors<Ext>

Compute several Lagrange selectors at a given point. Read more
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fn selectors_on_coset(&self, coset: Self) -> LagrangeSelectors<Vec<Self::Val>>

Compute several Lagrange selectors at all points of the given disjoint PolynomialSpace. Read more
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impl<F: Copy> Copy for CircleDomain<F>

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impl<F: Eq> Eq for CircleDomain<F>

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impl<F> StructuralPartialEq for CircleDomain<F>

Auto Trait Implementations§

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impl<F> Freeze for CircleDomain<F>
where F: Freeze,

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impl<F> RefUnwindSafe for CircleDomain<F>
where F: RefUnwindSafe,

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impl<F> Send for CircleDomain<F>
where F: Send,

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impl<F> Sync for CircleDomain<F>
where F: Sync,

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impl<F> Unpin for CircleDomain<F>
where F: Unpin,

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

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, dest: *mut u8)

🔬This is a nightly-only experimental API. (clone_to_uninit)
Performs copy-assignment from self to dest. 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> 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<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