snarkvm_algorithms::fft::polynomial

Enum Polynomial

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pub enum Polynomial<'a, F: Field> {
    Sparse(Cow<'a, SparsePolynomial<F>>),
    Dense(Cow<'a, DensePolynomial<F>>),
}
Expand description

Represents either a sparse polynomial or a dense one.

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Sparse(Cow<'a, SparsePolynomial<F>>)

Represents the case where self is a sparse polynomial

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Dense(Cow<'a, DensePolynomial<F>>)

Represents the case where self is a dense polynomial

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impl<'a, F: Field> Polynomial<'a, F>

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pub fn zero() -> Self

The zero polynomial.

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pub fn is_zero(&self) -> bool

Checks if the given polynomial is zero.

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pub fn degree(&self) -> usize

Return the degree of `self.

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pub fn leading_coefficient(&self) -> Option<&F>

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pub fn as_dense(&self) -> Option<&DensePolynomial<F>>

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pub fn to_dense(&self) -> Cow<'_, DensePolynomial<F>>

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pub fn as_dense_mut(&mut self) -> Option<&mut DensePolynomial<F>>

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pub fn as_sparse(&self) -> Option<&SparsePolynomial<F>>

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pub fn into_dense(&self) -> DensePolynomial<F>

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

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pub fn coeffs(&'a self) -> Box<dyn Iterator<Item = (usize, &'a F)> + 'a>

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pub fn divide_with_q_and_r( &self, divisor: &Self, ) -> Result<(DensePolynomial<F>, DensePolynomial<F>)>

Divide self by another (sparse or dense) polynomial, and returns the quotient and remainder.

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impl<F: PrimeField> Polynomial<'_, F>

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pub fn evaluate_over_domain( poly: impl Into<Self>, domain: EvaluationDomain<F>, ) -> Evaluations<F>

Construct Evaluations by evaluating a polynomial over the domain domain.

Trait Implementations§

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impl<'a, F: Field> AddAssign<&'a Polynomial<'a, F>> for DensePolynomial<F>

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fn add_assign(&mut self, other: &'a Polynomial<'_, F>)

Performs the += operation. Read more
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impl<'a, F: Field> CanonicalDeserialize for Polynomial<'a, F>

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fn deserialize_with_mode<R: Read>( reader: R, compress: Compress, validate: Validate, ) -> Result<Self, SerializationError>

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fn deserialize_compressed<R>(reader: R) -> Result<Self, SerializationError>
where R: Read,

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fn deserialize_compressed_unchecked<R>( reader: R, ) -> Result<Self, SerializationError>
where R: Read,

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fn deserialize_uncompressed<R>(reader: R) -> Result<Self, SerializationError>
where R: Read,

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fn deserialize_uncompressed_unchecked<R>( reader: R, ) -> Result<Self, SerializationError>
where R: Read,

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impl<'a, F: Field> CanonicalSerialize for Polynomial<'a, F>

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impl<'a, F: Clone + Field> Clone for Polynomial<'a, F>

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fn clone(&self) -> Polynomial<'a, 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<'a, F: Debug + Field> Debug for Polynomial<'a, 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<'a, F: Field> From<&'a DensePolynomial<F>> for Polynomial<'a, F>

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fn from(other: &'a DensePolynomial<F>) -> Self

Converts to this type from the input type.
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impl<'a, F: Field> From<&'a SparsePolynomial<F>> for Polynomial<'a, F>

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fn from(other: &'a SparsePolynomial<F>) -> Self

Converts to this type from the input type.
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impl<F: Field> From<DensePolynomial<F>> for Polynomial<'_, F>

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fn from(other: DensePolynomial<F>) -> Self

Converts to this type from the input type.
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impl<F: Field> From<SparsePolynomial<F>> for Polynomial<'_, F>

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fn from(other: SparsePolynomial<F>) -> Self

Converts to this type from the input type.
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impl<F: Field> Into<DensePolynomial<F>> for Polynomial<'_, F>

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fn into(self) -> DensePolynomial<F>

Converts this type into the (usually inferred) input type.
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impl<'a, F: PartialEq + Field> PartialEq for Polynomial<'a, F>

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fn eq(&self, other: &Polynomial<'a, 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: Field> TryInto<SparsePolynomial<F>> for Polynomial<'_, F>

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type Error = ()

The type returned in the event of a conversion error.
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fn try_into(self) -> Result<SparsePolynomial<F>, ()>

Performs the conversion.
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impl<'a, F: Field> Valid for Polynomial<'a, F>

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fn check(&self) -> Result<(), SerializationError>

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fn batch_check<'a>( batch: impl Iterator<Item = &'a Self> + Send, ) -> Result<(), SerializationError>
where Self: 'a,

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impl<'a, F: Eq + Field> Eq for Polynomial<'a, F>

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impl<'a, F: Field> StructuralPartialEq for Polynomial<'a, F>

Auto Trait Implementations§

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impl<'a, F> Freeze for Polynomial<'a, F>

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impl<'a, F> RefUnwindSafe for Polynomial<'a, F>
where F: RefUnwindSafe,

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impl<'a, F> Send for Polynomial<'a, F>

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impl<'a, F> Sync for Polynomial<'a, F>

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impl<'a, F> Unpin for Polynomial<'a, F>
where F: Unpin,

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impl<'a, F> UnwindSafe for Polynomial<'a, 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 u8)

🔬This is a nightly-only experimental API. (clone_to_uninit)
Performs copy-assignment from self to dst. Read more
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impl<Q, K> Equivalent<K> for Q
where Q: Eq + ?Sized, K: Borrow<Q> + ?Sized,

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fn equivalent(&self, key: &K) -> bool

Checks if this value is equivalent to the given key. Read more
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impl<Q, K> Equivalent<K> for Q
where Q: Eq + ?Sized, K: Borrow<Q> + ?Sized,

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fn equivalent(&self, key: &K) -> bool

Compare self to key and return true if they are equal.
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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, 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> 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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unsafe fn deref<'a>(ptr: usize) -> &'a T

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

Mutably dereferences the given pointer. Read more
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unsafe fn drop(ptr: usize)

Drops the object pointed to by the given pointer. Read more
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impl<T> Same for T

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type Output = T

Should always be Self
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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<V, T> VZip<V> for T
where V: MultiLane<T>,

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fn vzip(self) -> V