Struct ark_poly::evaluations::multivariate::multilinear::SparseMultilinearExtension [−][src]
Stores a multilinear polynomial in sparse evaluation form.
Fields
evaluations: BTreeMap<usize, F>
tuples of index and value
num_vars: usize
number of variables
Implementations
impl<F: Field> SparseMultilinearExtension<F>
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pub fn from_evaluations<'a>(
num_vars: usize,
evaluations: impl IntoIterator<Item = &'a (usize, F)>
) -> Self
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num_vars: usize,
evaluations: impl IntoIterator<Item = &'a (usize, F)>
) -> Self
pub fn rand_with_config<R: Rng>(
num_vars: usize,
num_nonzero_entries: usize,
rng: &mut R
) -> Self
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num_vars: usize,
num_nonzero_entries: usize,
rng: &mut R
) -> Self
Outputs an l
-variate multilinear extension where value of evaluations are sampled uniformly at random.
The number of nonzero entries is num_nonzero_entries
and indices of those nonzero entries are distributed uniformly at random.
Note that this function uses rejection sampling. As number of nonzero entries approach 2 ^ num_vars
,
sampling will be very slow due to large number of collisions.
pub fn to_dense_multilinear_extension(&self) -> DenseMultilinearExtension<F>
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Convert the sparse multilinear polynomial to dense form.
Trait Implementations
impl<'a, 'b, F: Field> Add<&'a SparseMultilinearExtension<F>> for &'b SparseMultilinearExtension<F>
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type Output = SparseMultilinearExtension<F>
The resulting type after applying the +
operator.
fn add(self, rhs: &'a SparseMultilinearExtension<F>) -> Self::Output
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impl<F: Field> Add<SparseMultilinearExtension<F>> for SparseMultilinearExtension<F>
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type Output = SparseMultilinearExtension<F>
The resulting type after applying the +
operator.
fn add(self, other: SparseMultilinearExtension<F>) -> Self
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impl<'a, 'b, F: Field> AddAssign<&'a SparseMultilinearExtension<F>> for SparseMultilinearExtension<F>
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fn add_assign(&mut self, other: &'a SparseMultilinearExtension<F>)
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impl<'a, 'b, F: Field> AddAssign<(F, &'a SparseMultilinearExtension<F>)> for SparseMultilinearExtension<F>
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fn add_assign(&mut self, (f, other): (F, &'a SparseMultilinearExtension<F>))
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impl<F: Field> AddAssign<SparseMultilinearExtension<F>> for SparseMultilinearExtension<F>
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fn add_assign(&mut self, other: Self)
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impl<F: Field> CanonicalDeserialize for SparseMultilinearExtension<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 SparseMultilinearExtension<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 SparseMultilinearExtension<F>
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fn clone(&self) -> SparseMultilinearExtension<F>
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pub fn clone_from(&mut self, source: &Self)
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impl<F: Field> Debug for SparseMultilinearExtension<F>
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impl<F: Default + Field> Default for SparseMultilinearExtension<F>
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fn default() -> SparseMultilinearExtension<F>
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impl<F: Eq + Field> Eq for SparseMultilinearExtension<F>
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impl<F: Hash + Field> Hash for SparseMultilinearExtension<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 SparseMultilinearExtension<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 Sparse multilinear polynomial, Lookup_evaluation takes log time to the size of polynomial.
impl<F: Field> MultilinearExtension<F> for SparseMultilinearExtension<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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Outputs an l
-variate multilinear extension where value of evaluations are sampled uniformly at random.
The number of nonzero entries is sqrt(2^num_vars)
and indices of those nonzero entries are distributed uniformly at random.
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 SparseMultilinearExtension<F>
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type Output = SparseMultilinearExtension<F>
The resulting type after applying the -
operator.
fn neg(self) -> Self::Output
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impl<F: PartialEq + Field> PartialEq<SparseMultilinearExtension<F>> for SparseMultilinearExtension<F>
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fn eq(&self, other: &SparseMultilinearExtension<F>) -> bool
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fn ne(&self, other: &SparseMultilinearExtension<F>) -> bool
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impl<F: Field> StructuralEq for SparseMultilinearExtension<F>
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impl<F: Field> StructuralPartialEq for SparseMultilinearExtension<F>
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impl<'a, 'b, F: Field> Sub<&'a SparseMultilinearExtension<F>> for &'b SparseMultilinearExtension<F>
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type Output = SparseMultilinearExtension<F>
The resulting type after applying the -
operator.
fn sub(self, rhs: &'a SparseMultilinearExtension<F>) -> Self::Output
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impl<F: Field> Sub<SparseMultilinearExtension<F>> for SparseMultilinearExtension<F>
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type Output = SparseMultilinearExtension<F>
The resulting type after applying the -
operator.
fn sub(self, other: SparseMultilinearExtension<F>) -> Self
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impl<'a, 'b, F: Field> SubAssign<&'a SparseMultilinearExtension<F>> for SparseMultilinearExtension<F>
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fn sub_assign(&mut self, other: &'a SparseMultilinearExtension<F>)
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impl<F: Field> SubAssign<SparseMultilinearExtension<F>> for SparseMultilinearExtension<F>
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fn sub_assign(&mut self, other: Self)
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impl<F: Field> Zero for SparseMultilinearExtension<F>
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Auto Trait Implementations
impl<F> Send for SparseMultilinearExtension<F>
impl<F> Sync for SparseMultilinearExtension<F>
impl<F> Unpin for SparseMultilinearExtension<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>,