Struct snarkvm_algorithms::fft::SparsePolynomial[−][src]

pub struct SparsePolynomial<F: Field> {
    pub coeffs: Vec<(usize, F)>,
}
Expand description

Stores a sparse polynomial in coefficient form.

Fields

coeffs: Vec<(usize, F)>

The coefficient a_i of x^i is stored as (i, a_i) in self.coeffs. the entries in self.coeffs are sorted in increasing order of i.

Implementations

impl<F: Field> SparsePolynomial<F>[src]

pub fn zero() -> Self[src]

Returns the zero polynomial.

pub fn is_zero(&self) -> bool[src]

Checks if the given polynomial is zero.

pub fn from_coefficients_slice(coeffs: &[(usize, F)]) -> Self[src]

Constructs a new polynomial from a list of coefficients.

pub fn from_coefficients_vec(coeffs: Vec<(usize, F)>) -> Self[src]

Constructs a new polynomial from a list of coefficients.

pub fn degree(&self) -> usize[src]

Returns the degree of the polynomial.

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

Evaluates self at the given point in the field.

pub fn mul(&self, other: &Self) -> Self[src]

Perform a naive n^2 multiplicatoin of self by other.

impl<F: PrimeField> SparsePolynomial<F>[src]

pub fn evaluate_over_domain_by_ref(
    &self,
    domain: EvaluationDomain<F>
) -> Evaluations<F>[src]

Evaluate self over domain.

pub fn evaluate_over_domain(self, domain: EvaluationDomain<F>) -> Evaluations<F>[src]

Evaluate self over domain.

Trait Implementations

impl<F: Field> CanonicalDeserialize for SparsePolynomial<F>[src]

fn deserialize<R: Read>(reader: &mut R) -> Result<Self, SerializationError>[src]

Reads Self from reader.

fn deserialize_uncompressed<R: Read>(
    reader: &mut R
) -> Result<Self, SerializationError>[src]

Reads Self from reader without compression.

impl<F: Field> CanonicalSerialize for SparsePolynomial<F>[src]

fn serialize<W: Write>(&self, writer: &mut W) -> Result<(), SerializationError>[src]

Serializes self into writer.

fn serialized_size(&self) -> usize[src]

fn serialize_uncompressed<W: Write>(
    &self,
    writer: &mut W
) -> Result<(), SerializationError>[src]

Serializes self into writer without compression.

fn uncompressed_size(&self) -> usize[src]

impl<F: Clone + Field> Clone for SparsePolynomial<F>[src]

fn clone(&self) -> SparsePolynomial<F>[src]

Returns a copy of the value. Read more

fn clone_from(&mut self, source: &Self)1.0.0[src]

Performs copy-assignment from source. Read more

impl<F: Field> Debug for SparsePolynomial<F>[src]

fn fmt(&self, f: &mut Formatter<'_>) -> Result<(), Error>[src]

Formats the value using the given formatter. Read more

impl<F: Default + Field> Default for SparsePolynomial<F>[src]

fn default() -> SparsePolynomial<F>[src]

Returns the “default value” for a type. Read more

impl<'a, F: Field> From<&'a SparsePolynomial<F>> for DenseOrSparsePolynomial<'a, F>[src]

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

Performs the conversion.

impl<F: Field> From<SparsePolynomial<F>> for DenseOrSparsePolynomial<'_, F>[src]

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

Performs the conversion.

impl<F: Hash + Field> Hash for SparsePolynomial<F>[src]

fn hash<__H: Hasher>(&self, state: &mut __H)[src]

Feeds this value into the given Hasher. Read more

fn hash_slice<H>(data: &[Self], state: &mut H) where
    H: Hasher, 1.3.0[src]

Feeds a slice of this type into the given Hasher. Read more

impl<F: Field> Into<DensePolynomial<F>> for SparsePolynomial<F>[src]

fn into(self) -> DensePolynomial<F>[src]

Performs the conversion.

impl<F: PartialEq + Field> PartialEq<SparsePolynomial<F>> for SparsePolynomial<F>[src]

fn eq(&self, other: &SparsePolynomial<F>) -> bool[src]

This method tests for self and other values to be equal, and is used by ==. Read more

fn ne(&self, other: &SparsePolynomial<F>) -> bool[src]

This method tests for !=.

impl<F: Field> TryInto<SparsePolynomial<F>> for DenseOrSparsePolynomial<'_, F>[src]

type Error = ()

The type returned in the event of a conversion error.

fn try_into(self) -> Result<SparsePolynomial<F>, ()>[src]

Performs the conversion.

impl<F: Eq + Field> Eq for SparsePolynomial<F>[src]

impl<F: Field> StructuralEq for SparsePolynomial<F>[src]

impl<F: Field> StructuralPartialEq for SparsePolynomial<F>[src]

Auto Trait Implementations

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

impl<F> Send for SparsePolynomial<F>

impl<F> Sync for SparsePolynomial<F>

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

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

Blanket Implementations

impl<T> Any for T where
    T: 'static + ?Sized, [src]

pub fn type_id(&self) -> TypeId[src]

Gets the TypeId of self. Read more

impl<T> Borrow<T> for T where
    T: ?Sized, [src]

pub fn borrow(&self) -> &T[src]

Immutably borrows from an owned value. Read more

impl<T> BorrowMut<T> for T where
    T: ?Sized, [src]

pub fn borrow_mut(&mut self) -> &mut T[src]

Mutably borrows from an owned value. Read more

impl<T> Conv for T

fn conv<T>(self) -> T where
    Self: Into<T>, 

Converts self into T using Into<T>. Read more

impl<Q, K> Equivalent<K> for Q where
    K: Borrow<Q> + ?Sized,
    Q: Eq + ?Sized, [src]

pub fn equivalent(&self, key: &K) -> bool[src]

Compare self to key and return true if they are equal.

impl<T> FmtForward for T

fn fmt_binary(self) -> FmtBinary<Self> where
    Self: Binary, 

Causes self to use its Binary implementation when Debug-formatted.

fn fmt_display(self) -> FmtDisplay<Self> where
    Self: Display, 

Causes self to use its Display implementation when Debug-formatted. Read more

fn fmt_lower_exp(self) -> FmtLowerExp<Self> where
    Self: LowerExp, 

Causes self to use its LowerExp implementation when Debug-formatted. Read more

fn fmt_lower_hex(self) -> FmtLowerHex<Self> where
    Self: LowerHex, 

Causes self to use its LowerHex implementation when Debug-formatted. Read more

fn fmt_octal(self) -> FmtOctal<Self> where
    Self: Octal, 

Causes self to use its Octal implementation when Debug-formatted.

fn fmt_pointer(self) -> FmtPointer<Self> where
    Self: Pointer, 

Causes self to use its Pointer implementation when Debug-formatted. Read more

fn fmt_upper_exp(self) -> FmtUpperExp<Self> where
    Self: UpperExp, 

Causes self to use its UpperExp implementation when Debug-formatted. Read more

fn fmt_upper_hex(self) -> FmtUpperHex<Self> where
    Self: UpperHex, 

Causes self to use its UpperHex implementation when Debug-formatted. Read more

impl<T> From<T> for T[src]

pub fn from(t: T) -> T[src]

Performs the conversion.

impl<T, U> Into<U> for T where
    U: From<T>, [src]

pub fn into(self) -> U[src]

Performs the conversion.

impl<T> Pipe for T where
    T: ?Sized, 

fn pipe<R>(self, func: impl FnOnce(Self) -> R) -> R

Pipes by value. This is generally the method you want to use. Read more

fn pipe_ref<'a, R>(&'a self, func: impl FnOnce(&'a Self) -> R) -> R where
    R: 'a, 

Borrows self and passes that borrow into the pipe function. Read more

fn pipe_ref_mut<'a, R>(&'a mut self, func: impl FnOnce(&'a mut Self) -> R) -> R where
    R: 'a, 

Mutably borrows self and passes that borrow into the pipe function. Read more

fn pipe_borrow<'a, B, R>(&'a self, func: impl FnOnce(&'a B) -> R) -> R where
    Self: Borrow<B>,
    R: 'a,
    B: 'a + ?Sized, 

Borrows self, then passes self.borrow() into the pipe function. Read more

fn pipe_borrow_mut<'a, B, R>(
    &'a mut self,
    func: impl FnOnce(&'a mut B) -> R
) -> R where
    Self: BorrowMut<B>,
    R: 'a,
    B: 'a + ?Sized, 

Mutably borrows self, then passes self.borrow_mut() into the pipe function. Read more

fn pipe_as_ref<'a, U, R>(&'a self, func: impl FnOnce(&'a U) -> R) -> R where
    Self: AsRef<U>,
    R: 'a,
    U: 'a + ?Sized, 

Borrows self, then passes self.as_ref() into the pipe function.

fn pipe_as_mut<'a, U, R>(&'a mut self, func: impl FnOnce(&'a mut U) -> R) -> R where
    Self: AsMut<U>,
    R: 'a,
    U: 'a + ?Sized, 

Mutably borrows self, then passes self.as_mut() into the pipe function. Read more

fn pipe_deref<'a, T, R>(&'a self, func: impl FnOnce(&'a T) -> R) -> R where
    Self: Deref<Target = T>,
    R: 'a,
    T: 'a + ?Sized, 

Borrows self, then passes self.deref() into the pipe function.

fn pipe_deref_mut<'a, T, R>(
    &'a mut self,
    func: impl FnOnce(&'a mut T) -> R
) -> R where
    Self: DerefMut<Target = T> + Deref,
    R: 'a,
    T: 'a + ?Sized, 

Mutably borrows self, then passes self.deref_mut() into the pipe function. Read more

impl<T> Pointable for T

pub const ALIGN: usize

The alignment of pointer.

type Init = T

The type for initializers.

pub unsafe fn init(init: <T as Pointable>::Init) -> usize

Initializes a with the given initializer. Read more

pub unsafe fn deref<'a>(ptr: usize) -> &'a T

Dereferences the given pointer. Read more

pub unsafe fn deref_mut<'a>(ptr: usize) -> &'a mut T

Mutably dereferences the given pointer. Read more

pub unsafe fn drop(ptr: usize)

Drops the object pointed to by the given pointer. Read more

impl<T> Same<T> for T

type Output = T

Should always be Self

impl<T> Tap for T

fn tap(self, func: impl FnOnce(&Self)) -> Self

Immutable access to a value. Read more

fn tap_mut(self, func: impl FnOnce(&mut Self)) -> Self

Mutable access to a value. Read more

fn tap_borrow<B>(self, func: impl FnOnce(&B)) -> Self where
    Self: Borrow<B>,
    B: ?Sized, 

Immutable access to the Borrow<B> of a value. Read more

fn tap_borrow_mut<B>(self, func: impl FnOnce(&mut B)) -> Self where
    Self: BorrowMut<B>,
    B: ?Sized, 

Mutable access to the BorrowMut<B> of a value. Read more

fn tap_ref<R>(self, func: impl FnOnce(&R)) -> Self where
    Self: AsRef<R>,
    R: ?Sized, 

Immutable access to the AsRef<R> view of a value. Read more

fn tap_ref_mut<R>(self, func: impl FnOnce(&mut R)) -> Self where
    Self: AsMut<R>,
    R: ?Sized, 

Mutable access to the AsMut<R> view of a value. Read more

fn tap_deref<T>(self, func: impl FnOnce(&T)) -> Self where
    Self: Deref<Target = T>,
    T: ?Sized, 

Immutable access to the Deref::Target of a value. Read more

fn tap_deref_mut<T>(self, func: impl FnOnce(&mut T)) -> Self where
    Self: DerefMut<Target = T> + Deref,
    T: ?Sized, 

Mutable access to the Deref::Target of a value. Read more

fn tap_dbg(self, func: impl FnOnce(&Self)) -> Self

Calls .tap() only in debug builds, and is erased in release builds.

fn tap_mut_dbg(self, func: impl FnOnce(&mut Self)) -> Self

Calls .tap_mut() only in debug builds, and is erased in release builds. Read more

fn tap_borrow_dbg<B>(self, func: impl FnOnce(&B)) -> Self where
    Self: Borrow<B>,
    B: ?Sized, 

Calls .tap_borrow() only in debug builds, and is erased in release builds. Read more

fn tap_borrow_mut_dbg<B>(self, func: impl FnOnce(&mut B)) -> Self where
    Self: BorrowMut<B>,
    B: ?Sized, 

Calls .tap_borrow_mut() only in debug builds, and is erased in release builds. Read more

fn tap_ref_dbg<R>(self, func: impl FnOnce(&R)) -> Self where
    Self: AsRef<R>,
    R: ?Sized, 

Calls .tap_ref() only in debug builds, and is erased in release builds. Read more

fn tap_ref_mut_dbg<R>(self, func: impl FnOnce(&mut R)) -> Self where
    Self: AsMut<R>,
    R: ?Sized, 

Calls .tap_ref_mut() only in debug builds, and is erased in release builds. Read more

fn tap_deref_dbg<T>(self, func: impl FnOnce(&T)) -> Self where
    Self: Deref<Target = T>,
    T: ?Sized, 

Calls .tap_deref() only in debug builds, and is erased in release builds. Read more

fn tap_deref_mut_dbg<T>(self, func: impl FnOnce(&mut T)) -> Self where
    Self: DerefMut<Target = T> + Deref,
    T: ?Sized, 

Calls .tap_deref_mut() only in debug builds, and is erased in release builds. Read more

impl<T> ToOwned for T where
    T: Clone, [src]

type Owned = T

The resulting type after obtaining ownership.

pub fn to_owned(&self) -> T[src]

Creates owned data from borrowed data, usually by cloning. Read more

pub fn clone_into(&self, target: &mut T)[src]

🔬 This is a nightly-only experimental API. (toowned_clone_into)

recently added

Uses borrowed data to replace owned data, usually by cloning. Read more

impl<T> TryConv for T

fn try_conv<T>(self) -> Result<T, Self::Error> where
    Self: TryInto<T>, 

Attempts to convert self into T using TryInto<T>. Read more

impl<T, U> TryFrom<U> for T where
    U: Into<T>, [src]

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>[src]

Performs the conversion.

impl<T, U> TryInto<U> for T where
    U: TryFrom<T>, [src]

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>[src]

Performs the conversion.

impl<V, T> VZip<V> for T where
    V: MultiLane<T>, 

pub fn vzip(self) -> V