Struct ark_poly::evaluations::multivariate::multilinear::DenseMultilinearExtension [−][src]
Stores a multilinear polynomial in dense evaluation form.
Fields
evaluations: Vec<F>
The evaluation over {0,1}^num_vars
num_vars: usize
Number of variables
Implementations
impl<F: Field> DenseMultilinearExtension<F>
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pub fn from_evaluations_slice(num_vars: usize, evaluations: &[F]) -> Self
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Construct a new polynomial from a list of evaluations where the index
represents a point in {0,1}^num_vars
in little endian form. For example, 0b1011
represents P(1,1,0,1)
pub fn from_evaluations_vec(num_vars: usize, evaluations: Vec<F>) -> Self
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Construct a new polynomial from a list of evaluations where the index
represents a point in {0,1}^num_vars
in little endian form. For example, 0b1011
represents P(1,1,0,1)
pub fn relabel_inplace(&mut self, a: usize, b: usize, k: usize)
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Relabel the point inplace by switching k
scalars from position a
to position b
, and from position b
to position a
in vector.
This function turns P(x_1,...,x_a,...,x_{a+k - 1},...,x_b,...,x_{b+k - 1},...,x_n)
to P(x_1,...,x_b,...,x_{b+k - 1},...,x_a,...,x_{a+k - 1},...,x_n)
pub fn iter(&self) -> Iter<'_, F>
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Returns an iterator that iterates over the evaluations over {0,1}^num_vars
pub fn iter_mut(&mut self) -> IterMut<'_, F>
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Returns a mutable iterator that iterates over the evaluations over {0,1}^num_vars
Trait Implementations
impl<'a, 'b, F: Field> Add<&'a DenseMultilinearExtension<F>> for &'b DenseMultilinearExtension<F>
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type Output = DenseMultilinearExtension<F>
The resulting type after applying the +
operator.
fn add(self, rhs: &'a DenseMultilinearExtension<F>) -> Self::Output
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impl<F: Field> Add<DenseMultilinearExtension<F>> for DenseMultilinearExtension<F>
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type Output = DenseMultilinearExtension<F>
The resulting type after applying the +
operator.
fn add(self, other: DenseMultilinearExtension<F>) -> Self
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impl<'a, 'b, F: Field> AddAssign<&'a DenseMultilinearExtension<F>> for DenseMultilinearExtension<F>
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fn add_assign(&mut self, other: &'a DenseMultilinearExtension<F>)
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impl<'a, 'b, F: Field> AddAssign<(F, &'a DenseMultilinearExtension<F>)> for DenseMultilinearExtension<F>
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fn add_assign(&mut self, (f, other): (F, &'a DenseMultilinearExtension<F>))
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impl<F: Field> AddAssign<DenseMultilinearExtension<F>> for DenseMultilinearExtension<F>
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fn add_assign(&mut self, other: Self)
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impl<F: Field> CanonicalDeserialize for DenseMultilinearExtension<F>
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fn deserialize<R: Read>(reader: R) -> Result<Self, SerializationError>
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fn deserialize_uncompressed<R: Read>(
reader: R
) -> Result<Self, SerializationError>
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reader: R
) -> Result<Self, SerializationError>
fn deserialize_unchecked<R: Read>(reader: R) -> Result<Self, SerializationError>
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impl<F: Field> CanonicalSerialize for DenseMultilinearExtension<F>
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fn serialize<W: Write>(&self, writer: W) -> Result<(), SerializationError>
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fn serialized_size(&self) -> usize
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fn serialize_uncompressed<W: Write>(
&self,
writer: W
) -> Result<(), SerializationError>
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&self,
writer: W
) -> Result<(), SerializationError>
fn serialize_unchecked<W: Write>(
&self,
writer: W
) -> Result<(), SerializationError>
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&self,
writer: W
) -> Result<(), SerializationError>
fn uncompressed_size(&self) -> usize
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impl<F: Clone + Field> Clone for DenseMultilinearExtension<F>
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fn clone(&self) -> DenseMultilinearExtension<F>
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pub fn clone_from(&mut self, source: &Self)
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impl<F: Field> Debug for DenseMultilinearExtension<F>
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impl<F: Default + Field> Default for DenseMultilinearExtension<F>
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fn default() -> DenseMultilinearExtension<F>
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impl<F: Eq + Field> Eq for DenseMultilinearExtension<F>
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impl<F: Hash + Field> Hash for DenseMultilinearExtension<F>
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fn hash<__H: Hasher>(&self, state: &mut __H)
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pub fn hash_slice<H>(data: &[Self], state: &mut H) where
H: Hasher,
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H: Hasher,
impl<F: Field> Index<usize> for DenseMultilinearExtension<F>
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type Output = F
The returned type after indexing.
fn index(&self, index: usize) -> &Self::Output
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Returns the evaluation of the polynomial at a point represented by index.
Index represents a vector in {0,1}^num_vars
in little endian form. For example, 0b1011
represents P(1,1,0,1)
For dense multilinear polynomial, index
takes constant time.
impl<F: Field> MultilinearExtension<F> for DenseMultilinearExtension<F>
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fn num_vars(&self) -> usize
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fn evaluate(&self, point: &[F]) -> Option<F>
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fn rand<R: Rng>(num_vars: usize, rng: &mut R) -> Self
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fn relabel(&self, a: usize, b: usize, k: usize) -> Self
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fn fix_variables(&self, partial_point: &[F]) -> Self
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fn to_evaluations(&self) -> Vec<F>
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impl<F: Field> Neg for DenseMultilinearExtension<F>
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type Output = DenseMultilinearExtension<F>
The resulting type after applying the -
operator.
fn neg(self) -> Self::Output
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impl<F: PartialEq + Field> PartialEq<DenseMultilinearExtension<F>> for DenseMultilinearExtension<F>
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fn eq(&self, other: &DenseMultilinearExtension<F>) -> bool
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fn ne(&self, other: &DenseMultilinearExtension<F>) -> bool
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impl<F: Field> StructuralEq for DenseMultilinearExtension<F>
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impl<F: Field> StructuralPartialEq for DenseMultilinearExtension<F>
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impl<'a, 'b, F: Field> Sub<&'a DenseMultilinearExtension<F>> for &'b DenseMultilinearExtension<F>
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type Output = DenseMultilinearExtension<F>
The resulting type after applying the -
operator.
fn sub(self, rhs: &'a DenseMultilinearExtension<F>) -> Self::Output
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impl<F: Field> Sub<DenseMultilinearExtension<F>> for DenseMultilinearExtension<F>
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type Output = DenseMultilinearExtension<F>
The resulting type after applying the -
operator.
fn sub(self, other: DenseMultilinearExtension<F>) -> Self
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impl<'a, 'b, F: Field> SubAssign<&'a DenseMultilinearExtension<F>> for DenseMultilinearExtension<F>
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fn sub_assign(&mut self, other: &'a DenseMultilinearExtension<F>)
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impl<F: Field> SubAssign<DenseMultilinearExtension<F>> for DenseMultilinearExtension<F>
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fn sub_assign(&mut self, other: Self)
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impl<F: Field> Zero for DenseMultilinearExtension<F>
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Auto Trait Implementations
impl<F> Send for DenseMultilinearExtension<F>
impl<F> Sync for DenseMultilinearExtension<F>
impl<F> Unpin for DenseMultilinearExtension<F> where
F: Unpin,
F: Unpin,
Blanket Implementations
impl<T> Any for T where
T: 'static + ?Sized,
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T: 'static + ?Sized,
impl<T> Borrow<T> for T where
T: ?Sized,
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T: ?Sized,
impl<T> BorrowMut<T> for T where
T: ?Sized,
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T: ?Sized,
pub fn borrow_mut(&mut self) -> &mut T
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impl<T> CallHasher for T where
T: Hash + ?Sized,
T: Hash + ?Sized,
pub default fn get_hash<H, B>(value: &H, build_hasher: &B) -> u64 where
B: BuildHasher,
H: Hash + ?Sized,
B: BuildHasher,
H: Hash + ?Sized,
impl<T> From<T> for T
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impl<T, U> Into<U> for T where
U: From<T>,
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U: From<T>,
impl<T> ToOwned for T where
T: Clone,
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T: Clone,
type Owned = T
The resulting type after obtaining ownership.
pub fn to_owned(&self) -> T
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pub fn clone_into(&self, target: &mut T)
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impl<T, U> TryFrom<U> for T where
U: Into<T>,
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U: Into<T>,
type Error = Infallible
The type returned in the event of a conversion error.
pub fn try_from(value: U) -> Result<T, <T as TryFrom<U>>::Error>
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impl<T, U> TryInto<U> for T where
U: TryFrom<T>,
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U: TryFrom<T>,
type Error = <U as TryFrom<T>>::Error
The type returned in the event of a conversion error.
pub fn try_into(self) -> Result<U, <U as TryFrom<T>>::Error>
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impl<V, T> VZip<V> for T where
V: MultiLane<T>,
V: MultiLane<T>,