Struct Field Element &nbsp; Copy item path

impl<F: FieldExtension> FieldElement<F>

pub fn new(inner: F) -> Self

Construct a field element wrapper from an inner field element

pub fn inner(&self) -> F

Get the inner value of the field element

pub fn pow(&self, exp: u64) -> Self

Compute the exponentiation of the given field element

pub fn from_be_bytes( bytes: &[u8], ) -> Result<FieldElement<F>, SerializationError>

Construct a field element from the given bytes

pub fn from_le_bytes( bytes: &[u8], ) -> Result<FieldElement<F>, SerializationError>

pub fn to_le_bytes(&self) -> impl IntoIterator<Item = u8> + '_

Convert the field element to little-endian bytes

pub fn to_be_bytes(&self) -> impl IntoIterator<Item = u8>

Convert the field element to big-endian bytes

pub fn to_biguint(&self) -> BigUint

Trait Implementations§

impl<F: FieldExtension> Add<&FieldElement<F>> for &FieldElement<F>

type Output = FieldElement<F>

The resulting type after applying the + operator.

fn add(self, rhs: &FieldElement<F>) -> Self::Output

Performs the + operation. Read more

impl<'a, F: FieldExtension> Add<&'a FieldElement<F>> for FieldElement<F>

lhs owned, rhs borrowed

type Output = FieldElement<F>

The resulting type after applying the + operator.

fn add(self, rhs: &'a FieldElement<F>) -> Self::Output

Performs the + operation. Read more

impl<'a, F: FieldExtension> Add<FieldElement<F>> for &'a FieldElement<F>

lhs borrowed, rhs owned

type Output = FieldElement<F>

The resulting type after applying the + operator.

fn add(self, rhs: FieldElement<F>) -> Self::Output

Performs the + operation. Read more

impl<F: FieldExtension> Add for FieldElement<F>

lhs owned, rhs owned

type Output = FieldElement<F>

The resulting type after applying the + operator.

fn add(self, rhs: FieldElement<F>) -> Self::Output

Performs the + operation. Read more

impl<'a, F: FieldExtension> AddAssign<&'a FieldElement<F>> for FieldElement<F>

fn add_assign(&mut self, rhs: &'a FieldElement<F>)

Performs the += operation. Read more

impl<F: FieldExtension> AddAssign for FieldElement<F>

fn add_assign(&mut self, rhs: FieldElement<F>)

Performs the += operation. Read more

impl<F: FieldExtension> AdditiveShares for FieldElement<F>

fn to_additive_shares( &self, n_parties: usize, rng: impl CryptoRngCore, ) -> Vec<Self>

Split a secret into n additive shares.

fn from_additive_shares<S: Borrow<Self>>(shares: &[S]) -> Self

Reconstruct a secret from n additive shares.

impl<F: Clone + FieldExtension> Clone for FieldElement<F>

fn clone(&self) -> FieldElement<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

impl<C: Curve> CommitmentScheme<FieldElement<<C as Curve>::Scalar>> for PedersenCommitment<C>

type Commitment = Point<C>

type Witness = FieldElement<<C as Curve>::Scalar>

fn commit<R: CryptoRngCore>( &self, input: &ScalarAsExtension<C>, rng: R, ) -> (Self::Commitment, Self::Witness)

fn open( &self, c: &Self::Commitment, w: &Self::Witness, input: &ScalarAsExtension<C>, ) -> Result<(), PrimitiveError>

impl<F: FieldExtension> ConditionallySelectable for FieldElement<F>

fn conditional_select(a: &Self, b: &Self, choice: Choice) -> Self

Select a or b according to choice. Read more

fn conditional_assign(&mut self, other: &Self, choice: Choice)

Conditionally assign other to self, according to choice. Read more

fn conditional_swap(a: &mut Self, b: &mut Self, choice: Choice)

Conditionally swap self and other if choice == 1; otherwise, reassign both unto themselves. Read more

impl<F: FieldExtension> ConstantTimeEq for FieldElement<F>

fn ct_eq(&self, other: &Self) -> Choice

Determine if two items are equal. Read more

fn ct_ne(&self, other: &Self) -> Choice

Determine if two items are NOT equal. Read more

impl<F: Debug + FieldExtension> Debug for FieldElement<F>

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

Formats the value using the given formatter. Read more

impl<F: FieldExtension> Default for FieldElement<F>

fn default() -> Self

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

impl<'de, F: FieldExtension> Deserialize<'de> for FieldElement<F>

fn deserialize<D: Deserializer<'de>>(deserializer: D) -> Result<Self, D::Error>

Deserialize this value from the given Serde deserializer. Read more

impl<F: FieldExtension> Display for FieldElement<F>

fn fmt(&self, f: &mut Formatter<'_>) -> FmtResult

Formats the value using the given formatter. Read more

impl<F: FieldExtension> Distribution<FieldElement<F>> for Standard

fn sample<R: RngCore + ?Sized>(&self, rng: &mut R) -> FieldElement<F>

Generate a random value of T, using rng as the source of randomness.

fn sample_iter<R>(self, rng: R) -> DistIter<Self, R, T>
where R: Rng, Self: Sized,

Create an iterator that generates random values of T, using rng as the source of randomness. Read more

fn map<F, S>(self, func: F) -> DistMap<Self, F, T, S>
where F: Fn(T) -> S, Self: Sized,

Create a distribution of values of ‘S’ by mapping the output of Self through the closure F Read more

impl<F: FieldExtension> Div<&FieldElement<F>> for &FieldElement<F>

type Output = CtOption<FieldElement<F>>

The resulting type after applying the / operator.

fn div(self, rhs: &FieldElement<F>) -> Self::Output

Performs the / operation. Read more

impl<F: FieldExtension> Div<&FieldElement<F>> for FieldElement<F>

type Output = CtOption<FieldElement<F>>

The resulting type after applying the / operator.

fn div(self, rhs: &FieldElement<F>) -> Self::Output

Performs the / operation. Read more

impl<F: FieldExtension> Div<FieldElement<F>> for &FieldElement<F>

type Output = CtOption<FieldElement<F>>

The resulting type after applying the / operator.

fn div(self, rhs: FieldElement<F>) -> Self::Output

Performs the / operation. Read more

impl<F: FieldExtension> Div for FieldElement<F>

type Output = CtOption<FieldElement<F>>

The resulting type after applying the / operator.

fn div(self, rhs: FieldElement<F>) -> Self::Output

Performs the / operation. Read more

impl<F: FieldExtension> Field for FieldElement<F>

const ZERO: Self

The zero element of the field, the additive identity.

const ONE: Self

The one element of the field, the multiplicative identity.

fn random(rng: impl RngCore) -> Self

Returns an element chosen uniformly at random using a user-provided RNG.

fn square(&self) -> Self

Squares this element.

fn double(&self) -> Self

Doubles this element.

fn invert(&self) -> CtOption<Self>

Computes the multiplicative inverse of this element, failing if the element is zero.

fn sqrt_ratio(num: &Self, div: &Self) -> (Choice, Self)

Computes: Read more

fn is_zero(&self) -> Choice

Returns true iff this element is zero.

fn is_zero_vartime(&self) -> bool

Returns true iff this element is zero. Read more

fn cube(&self) -> Self

Cubes this element.

fn sqrt_alt(&self) -> (Choice, Self)

Equivalent to Self::sqrt_ratio(self, one()). Read more

fn sqrt(&self) -> CtOption<Self>

Returns the square root of the field element, if it is quadratic residue. Read more

fn pow<S>(&self, exp: S) -> Self
where S: AsRef<[u64]>,

Exponentiates self by exp, where exp is a little-endian order integer exponent. Read more

fn pow_vartime<S>(&self, exp: S) -> Self
where S: AsRef<[u64]>,

Exponentiates self by exp, where exp is a little-endian order integer exponent. Read more

impl<F: FieldExtension> From<FieldElement<F>> for GlobalFieldKey<F>

fn from(value: FieldElement<F>) -> Self

Converts to this type from the input type.

impl<F: PrimeFieldExtension> From<FieldElement<F>> for SubfieldElement<F>

fn from(value: FieldElement<F>) -> Self

Converts to this type from the input type.

impl<F: PrimeFieldExtension> From<SubfieldElement<F>> for FieldElement<F>

fn from(value: SubfieldElement<F>) -> Self

Converts to this type from the input type.

impl<F: FieldExtension> From<bool> for FieldElement<F>

fn from(value: bool) -> Self

Converts to this type from the input type.

impl<F: FieldExtension> From<u128> for FieldElement<F>

fn from(value: u128) -> Self

Converts to this type from the input type.

impl<F: FieldExtension> From<u16> for FieldElement<F>

fn from(value: u16) -> Self

Converts to this type from the input type.

impl<F: FieldExtension> From<u32> for FieldElement<F>

fn from(value: u32) -> Self

Converts to this type from the input type.

impl<F: FieldExtension> From<u64> for FieldElement<F>

fn from(value: u64) -> Self

Converts to this type from the input type.

impl<F: FieldExtension> From<u8> for FieldElement<F>

fn from(value: u8) -> Self

Converts to this type from the input type.

fn hash<H: Hasher>(&self, state: &mut H)

Feeds this value into the given Hasher. Read more

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

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

impl<F: FieldExtension> IntoWide<<F as MulAccReduce>::WideType> for FieldElement<F>

fn to_wide(&self) -> <F as MulAccReduce>::WideType

fn zero_wide() -> <F as MulAccReduce>::WideType

impl<'a, C: Curve> Mul<&'a FieldElement<<C as Curve>::Scalar>> for &'a CurveKey<C>

type Output = CurveKey<C>

The resulting type after applying the * operator.

fn mul(self, other: &'a ScalarAsExtension<C>) -> Self::Output

Performs the * operation. Read more

impl<'a, C: Curve, M: Positive> Mul<&'a FieldElement<<C as Curve>::Scalar>> for &'a CurveKeys<C, M>

type Output = CurveKeys<C, M>

The resulting type after applying the * operator.

fn mul(self, other: &'a ScalarAsExtension<C>) -> Self::Output

Performs the * operation. Read more

impl<'a, C: Curve, M: Positive> Mul<&'a FieldElement<<C as Curve>::Scalar>> for &'a CurvePoints<C, M>

type Output = HeapArray<Point<C>, M>

The resulting type after applying the * operator.

fn mul(self, other: &'a ScalarAsExtension<C>) -> Self::Output

Performs the * operation. Read more

impl<C: Curve> Mul<&FieldElement<<C as Curve>::Scalar>> for &Point<C>

type Output = Point<C>

The resulting type after applying the * operator.

fn mul(self, rhs: &ScalarAsExtension<C>) -> Self::Output

Performs the * operation. Read more

impl<'a, C: Curve> Mul<&'a FieldElement<<C as Curve>::Scalar>> for &'a PointShare<C>

type Output = PointShare<C>

The resulting type after applying the * operator.

fn mul(self, other: &'a ScalarAsExtension<C>) -> Self::Output

Performs the * operation. Read more

impl<'a, C: Curve, M: Positive> Mul<&'a FieldElement<<C as Curve>::Scalar>> for &'a PointShares<C, M>

type Output = PointShares<C, M>

The resulting type after applying the * operator.

fn mul(self, other: &'a ScalarAsExtension<C>) -> Self::Output

Performs the * operation. Read more

impl<'a, C: Curve> Mul<&'a FieldElement<<C as Curve>::Scalar>> for CurveKey<C>

type Output = CurveKey<C>

The resulting type after applying the * operator.

fn mul(self, other: &'a ScalarAsExtension<C>) -> Self::Output

Performs the * operation. Read more

impl<'a, C: Curve, M: Positive> Mul<&'a FieldElement<<C as Curve>::Scalar>> for CurveKeys<C, M>

type Output = CurveKeys<C, M>

The resulting type after applying the * operator.

fn mul(self, other: &'a ScalarAsExtension<C>) -> Self::Output

Performs the * operation. Read more

impl<'a, C: Curve, M: Positive> Mul<&'a FieldElement<<C as Curve>::Scalar>> for CurvePoints<C, M>

type Output = HeapArray<Point<C>, M>

The resulting type after applying the * operator.

fn mul(self, other: &'a ScalarAsExtension<C>) -> Self::Output

Performs the * operation. Read more

impl<'a, C: Curve> Mul<&'a FieldElement<<C as Curve>::Scalar>> for Point<C>

lhs owned, rhs borrowed

type Output = Point<C>

The resulting type after applying the * operator.

fn mul(self, rhs: &'a ScalarAsExtension<C>) -> Self::Output

Performs the * operation. Read more

impl<'a, C: Curve> Mul<&'a FieldElement<<C as Curve>::Scalar>> for PointShare<C>

type Output = PointShare<C>

The resulting type after applying the * operator.

fn mul(self, other: &'a ScalarAsExtension<C>) -> Self::Output

Performs the * operation. Read more

impl<'a, C: Curve, M: Positive> Mul<&'a FieldElement<<C as Curve>::Scalar>> for PointShares<C, M>

type Output = PointShares<C, M>

The resulting type after applying the * operator.

fn mul(self, other: &'a ScalarAsExtension<C>) -> Self::Output

Performs the * operation. Read more

impl<F: FieldExtension> Mul<&FieldElement<F>> for &FieldElement<F>

type Output = FieldElement<F>

The resulting type after applying the * operator.

fn mul(self, rhs: &FieldElement<F>) -> Self::Output

Performs the * operation. Read more

impl<'a, F: FieldExtension> Mul<&'a FieldElement<F>> for &'a FieldShareKey<F>

type Output = FieldShareKey<F>

The resulting type after applying the * operator.

fn mul(self, other: &'a FieldElement<F>) -> Self::Output

Performs the * operation. Read more

impl<'a, F: FieldExtension> Mul<&'a FieldElement<F>> for &'a SubfieldElement<F>

lhs borrowed, rhs borrowed

type Output = FieldElement<F>

The resulting type after applying the * operator.

fn mul(self, rhs: &'a FieldElement<F>) -> Self::Output

Performs the * operation. Read more

impl<'a, F: FieldExtension> Mul<&'a FieldElement<F>> for FieldElement<F>

lhs owned, rhs borrowed

type Output = FieldElement<F>

The resulting type after applying the * operator.

fn mul(self, rhs: &'a FieldElement<F>) -> Self::Output

Performs the * operation. Read more

impl<'a, F: FieldExtension> Mul<&'a FieldElement<F>> for FieldShareKey<F>

type Output = FieldShareKey<F>

The resulting type after applying the * operator.

fn mul(self, other: &'a FieldElement<F>) -> Self::Output

Performs the * operation. Read more

impl<'a, F: FieldExtension, M: Positive> Mul<&'a FieldElement<F>> for FieldShareKeys<F, M>

type Output = FieldShareKeys<F, M>

The resulting type after applying the * operator.

fn mul(self, other: &'a FieldElement<F>) -> Self::Output

Performs the * operation. Read more

impl<'a, F: FieldExtension, M: Positive> Mul<&'a FieldElement<F>> for SubfieldElements<F, M>

type Output = HeapArray<FieldElement<F>, M>

The resulting type after applying the * operator.

fn mul(self, other: &'a FieldElement<F>) -> Self::Output

Performs the * operation. Read more

impl<'a, F: FieldExtension> Mul<&'a FieldElement<F>> for SubfieldElement<F>

lhs owned, rhs borrowed

type Output = FieldElement<F>

The resulting type after applying the * operator.

fn mul(self, rhs: &'a FieldElement<F>) -> Self::Output

Performs the * operation. Read more

impl<F: FieldExtension> Mul<&SubfieldElement<F>> for &FieldElement<F>

type Output = FieldElement<F>

The resulting type after applying the * operator.

fn mul(self, rhs: &SubfieldElement<F>) -> Self::Output

Performs the * operation. Read more

impl<'a, F: FieldExtension> Mul<&'a SubfieldElement<F>> for FieldElement<F>

lhs owned, rhs borrowed

type Output = FieldElement<F>

The resulting type after applying the * operator.

fn mul(self, rhs: &'a SubfieldElement<F>) -> Self::Output

Performs the * operation. Read more

impl<C: Curve> Mul<FieldElement<<C as Curve>::Scalar>> for &CurveKey<C>

type Output = CurveKey<C>

The resulting type after applying the * operator.

fn mul(self, other: ScalarAsExtension<C>) -> Self::Output

Performs the * operation. Read more

impl<C: Curve, M: Positive> Mul<FieldElement<<C as Curve>::Scalar>> for &CurvePoints<C, M>

type Output = HeapArray<Point<C>, M>

The resulting type after applying the * operator.

fn mul(self, other: ScalarAsExtension<C>) -> Self::Output

Performs the * operation. Read more

impl<'a, C: Curve> Mul<FieldElement<<C as Curve>::Scalar>> for &'a Point<C>

lhs borrowed, rhs owned

type Output = Point<C>

The resulting type after applying the * operator.

fn mul(self, rhs: ScalarAsExtension<C>) -> Self::Output

Performs the * operation. Read more

impl<C: Curve> Mul<FieldElement<<C as Curve>::Scalar>> for &PointShare<C>

type Output = PointShare<C>

The resulting type after applying the * operator.

fn mul(self, other: ScalarAsExtension<C>) -> Self::Output

Performs the * operation. Read more

impl<C: Curve> Mul<FieldElement<<C as Curve>::Scalar>> for CurveKey<C>

type Output = CurveKey<C>

The resulting type after applying the * operator.

fn mul(self, other: ScalarAsExtension<C>) -> Self::Output

Performs the * operation. Read more

impl<C: Curve, M: Positive> Mul<FieldElement<<C as Curve>::Scalar>> for CurvePoints<C, M>

type Output = HeapArray<Point<C>, M>

The resulting type after applying the * operator.

fn mul(self, other: ScalarAsExtension<C>) -> Self::Output

Performs the * operation. Read more

impl<C: Curve> Mul<FieldElement<<C as Curve>::Scalar>> for Point<C>

lhs owned, rhs owned

type Output = Point<C>

The resulting type after applying the * operator.

fn mul(self, rhs: ScalarAsExtension<C>) -> Self::Output

Performs the * operation. Read more

impl<C: Curve> Mul<FieldElement<<C as Curve>::Scalar>> for PointShare<C>

type Output = PointShare<C>

The resulting type after applying the * operator.

fn mul(self, other: ScalarAsExtension<C>) -> Self::Output

Performs the * operation. Read more

impl<'a, F: FieldExtension> Mul<FieldElement<F>> for &'a FieldElement<F>

lhs borrowed, rhs owned

type Output = FieldElement<F>

The resulting type after applying the * operator.

fn mul(self, rhs: FieldElement<F>) -> Self::Output

Performs the * operation. Read more

impl<F: FieldExtension> Mul<FieldElement<F>> for &FieldShareKey<F>

type Output = FieldShareKey<F>

The resulting type after applying the * operator.

fn mul(self, other: FieldElement<F>) -> Self::Output

Performs the * operation. Read more

impl<'a, F: FieldExtension> Mul<FieldElement<F>> for &'a SubfieldElement<F>

lhs borrowed, rhs owned

type Output = FieldElement<F>

The resulting type after applying the * operator.

fn mul(self, rhs: FieldElement<F>) -> Self::Output

Performs the * operation. Read more

impl<F: FieldExtension> Mul<FieldElement<F>> for FieldShareKey<F>

type Output = FieldShareKey<F>

The resulting type after applying the * operator.

fn mul(self, other: FieldElement<F>) -> Self::Output

Performs the * operation. Read more

impl<F: FieldExtension, M: Positive> Mul<FieldElement<F>> for FieldShareKeys<F, M>

type Output = FieldShareKeys<F, M>

The resulting type after applying the * operator.

fn mul(self, other: FieldElement<F>) -> Self::Output

Performs the * operation. Read more

impl<F: FieldExtension, M: Positive> Mul<FieldElement<F>> for SubfieldElements<F, M>

type Output = HeapArray<FieldElement<F>, M>

The resulting type after applying the * operator.

fn mul(self, other: FieldElement<F>) -> Self::Output

Performs the * operation. Read more

impl<F: FieldExtension> Mul<FieldElement<F>> for SubfieldElement<F>

lhs owned, rhs owned

type Output = FieldElement<F>

The resulting type after applying the * operator.

fn mul(self, rhs: FieldElement<F>) -> Self::Output

Performs the * operation. Read more

impl<'a, F: FieldExtension> Mul<SubfieldElement<F>> for &'a FieldElement<F>

lhs borrowed, rhs owned

type Output = FieldElement<F>

The resulting type after applying the * operator.

fn mul(self, rhs: SubfieldElement<F>) -> Self::Output

Performs the * operation. Read more

impl<F: FieldExtension> Mul<SubfieldElement<F>> for FieldElement<F>

lhs owned, rhs owned

type Output = FieldElement<F>

The resulting type after applying the * operator.

fn mul(self, rhs: SubfieldElement<F>) -> Self::Output

Performs the * operation. Read more

impl<F: FieldExtension> Mul for FieldElement<F>

lhs owned, rhs owned

type Output = FieldElement<F>

The resulting type after applying the * operator.

fn mul(self, rhs: FieldElement<F>) -> Self::Output

Performs the * operation. Read more

impl<'a, F: FieldExtension> MulAccReduce<&'a FieldElement<F>> for FieldElement<F>

type WideType = <F as MulAccReduce>::WideType

fn mul_acc(acc: &mut Self::WideType, a: &'a Self, b: Self)

fn to_wide(&self) -> Self::WideType

fn zero_wide() -> Self::WideType

impl<'a, 'b, F: FieldExtension> MulAccReduce<&'a FieldElement<F>, &'b FieldElement<F>> for FieldElement<F>

type WideType = <F as MulAccReduce>::WideType

fn mul_acc(acc: &mut Self::WideType, a: &'a Self, b: &'b Self)

fn to_wide(&self) -> Self::WideType

fn zero_wide() -> Self::WideType

impl<'a, F: FieldExtension> MulAccReduce<FieldElement<F>, &'a FieldElement<F>> for FieldElement<F>

type WideType = <F as MulAccReduce>::WideType

fn mul_acc(acc: &mut Self::WideType, a: Self, b: &'a Self)

fn to_wide(&self) -> Self::WideType

fn zero_wide() -> Self::WideType

impl<F: FieldExtension> MulAccReduce for FieldElement<F>

type WideType = <F as MulAccReduce>::WideType

fn mul_acc(acc: &mut Self::WideType, a: Self, b: Self)

fn to_wide(&self) -> Self::WideType

fn zero_wide() -> Self::WideType

impl<'a, C: Curve> MulAssign<&'a FieldElement<<C as Curve>::Scalar>> for CurveKey<C>

fn mul_assign(&mut self, rhs: &'a ScalarAsExtension<C>)

Performs the *= operation. Read more

impl<'a, C: Curve, M: Positive> MulAssign<&'a FieldElement<<C as Curve>::Scalar>> for CurveKeys<C, M>

fn mul_assign(&mut self, rhs: &'a ScalarAsExtension<C>)

Performs the *= operation. Read more

impl<'a, C: Curve, M: Positive> MulAssign<&'a FieldElement<<C as Curve>::Scalar>> for CurvePoints<C, M>

fn mul_assign(&mut self, other: &'a ScalarAsExtension<C>)

Performs the *= operation. Read more

impl<C: Curve> MulAssign<&FieldElement<<C as Curve>::Scalar>> for Point<C>

fn mul_assign(&mut self, rhs: &ScalarAsExtension<C>)

Performs the *= operation. Read more

impl<'a, C: Curve> MulAssign<&'a FieldElement<<C as Curve>::Scalar>> for PointShare<C>

fn mul_assign(&mut self, other: &'a ScalarAsExtension<C>)

Performs the *= operation. Read more

impl<'a, C: Curve, M: Positive> MulAssign<&'a FieldElement<<C as Curve>::Scalar>> for PointShares<C, M>

fn mul_assign(&mut self, other: &'a ScalarAsExtension<C>)

Performs the *= operation. Read more

impl<'a, F: FieldExtension> MulAssign<&'a FieldElement<F>> for FieldElement<F>

fn mul_assign(&mut self, rhs: &'a FieldElement<F>)

Performs the *= operation. Read more

impl<'a, F: FieldExtension> MulAssign<&'a FieldElement<F>> for FieldShareKey<F>

fn mul_assign(&mut self, other: &'a FieldElement<F>)

Performs the *= operation. Read more

impl<'a, F: FieldExtension, M: Positive> MulAssign<&'a FieldElement<F>> for FieldShareKeys<F, M>

fn mul_assign(&mut self, other: &'a FieldElement<F>)

Performs the *= operation. Read more

impl<'a, F: FieldExtension> MulAssign<&'a SubfieldElement<F>> for FieldElement<F>

fn mul_assign(&mut self, rhs: &'a SubfieldElement<F>)

Performs the *= operation. Read more

impl<C: Curve> MulAssign<FieldElement<<C as Curve>::Scalar>> for CurveKey<C>

fn mul_assign(&mut self, rhs: ScalarAsExtension<C>)

Performs the *= operation. Read more

impl<C: Curve, M: Positive> MulAssign<FieldElement<<C as Curve>::Scalar>> for CurvePoints<C, M>

fn mul_assign(&mut self, other: ScalarAsExtension<C>)

Performs the *= operation. Read more

impl<C: Curve> MulAssign<FieldElement<<C as Curve>::Scalar>> for Point<C>

fn mul_assign(&mut self, rhs: ScalarAsExtension<C>)

Performs the *= operation. Read more

impl<F: FieldExtension, M: Positive> MulAssign<FieldElement<F>> for FieldShareKeys<F, M>

fn mul_assign(&mut self, other: FieldElement<F>)

Performs the *= operation. Read more

impl<F: FieldExtension> MulAssign<SubfieldElement<F>> for FieldElement<F>

fn mul_assign(&mut self, rhs: SubfieldElement<F>)

Performs the *= operation. Read more

impl<F: FieldExtension> MulAssign for FieldElement<F>

fn mul_assign(&mut self, rhs: FieldElement<F>)

Performs the *= operation. Read more

impl<F: FieldExtension> Neg for &FieldElement<F>

type Output = FieldElement<F>

The resulting type after applying the - operator.

fn neg(self) -> Self::Output

Performs the unary - operation. Read more

impl<F: FieldExtension> Neg for FieldElement<F>

type Output = FieldElement<F>

The resulting type after applying the - operator.

fn neg(self) -> Self::Output

Performs the unary - operation. Read more

impl<F: FieldExtension> One for FieldElement<F>

fn one() -> Self

The field’s multiplicative identity.

fn set_one(&mut self)

Sets self to the multiplicative identity element of Self, 1.

fn is_one(&self) -> bool
where Self: PartialEq,

Returns true if self is equal to the multiplicative identity. Read more

impl<F: PartialEq + FieldExtension> PartialEq for FieldElement<F>

fn eq(&self, other: &FieldElement<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.

impl<F: PartialOrd + FieldExtension> PartialOrd for FieldElement<F>

fn partial_cmp(&self, other: &FieldElement<F>) -> Option<Ordering>

This method returns an ordering between self and other values if one exists. Read more

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fn lt(&self, other: &Rhs) -> bool

Tests less than (for self and other) and is used by the < operator. Read more

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fn le(&self, other: &Rhs) -> bool

Tests less than or equal to (for self and other) and is used by the <= operator. Read more

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fn gt(&self, other: &Rhs) -> bool

Tests greater than (for self and other) and is used by the > operator. Read more

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fn ge(&self, other: &Rhs) -> bool

Tests greater than or equal to (for self and other) and is used by the >= operator. Read more

impl<'a, F: FieldExtension> Product<&'a FieldElement<F>> for FieldElement<F>

fn product<I: Iterator<Item = &'a FieldElement<F>>>(iter: I) -> Self

Takes an iterator and generates Self from the elements by multiplying the items.

impl<F: FieldExtension> Product for FieldElement<F>

fn product<I: Iterator<Item = FieldElement<F>>>(iter: I) -> Self

Takes an iterator and generates Self from the elements by multiplying the items.

impl<F: FieldExtension> ReduceWide<<F as MulAccReduce>::WideType> for FieldElement<F>

fn reduce_mod_order(a: <F as MulAccReduce>::WideType) -> Self

impl<F: FieldExtension> Serialize for FieldElement<F>

fn serialize<S: Serializer>(&self, serializer: S) -> Result<S::Ok, S::Error>

Serialize this value into the given Serde serializer. Read more

impl<F: FieldExtension> Sub<&FieldElement<F>> for &FieldElement<F>

type Output = FieldElement<F>

The resulting type after applying the - operator.

fn sub(self, rhs: &FieldElement<F>) -> Self::Output

Performs the - operation. Read more

impl<'a, F: FieldExtension> Sub<&'a FieldElement<F>> for FieldElement<F>

lhs owned, rhs borrowed

type Output = FieldElement<F>

The resulting type after applying the - operator.

fn sub(self, rhs: &'a FieldElement<F>) -> Self::Output

Performs the - operation. Read more

impl<'a, F: FieldExtension> Sub<FieldElement<F>> for &'a FieldElement<F>

lhs borrowed, rhs owned

type Output = FieldElement<F>

The resulting type after applying the - operator.

fn sub(self, rhs: FieldElement<F>) -> Self::Output

Performs the - operation. Read more

impl<F: FieldExtension> Sub for FieldElement<F>

lhs owned, rhs owned

type Output = FieldElement<F>

The resulting type after applying the - operator.

fn sub(self, rhs: FieldElement<F>) -> Self::Output

Performs the - operation. Read more

impl<'a, F: FieldExtension> SubAssign<&'a FieldElement<F>> for FieldElement<F>

fn sub_assign(&mut self, rhs: &'a FieldElement<F>)

Performs the -= operation. Read more

impl<F: FieldExtension> SubAssign for FieldElement<F>

fn sub_assign(&mut self, rhs: FieldElement<F>)

Performs the -= operation. Read more

impl<'a, F: FieldExtension> Sum<&'a FieldElement<F>> for FieldElement<F>

fn sum<I: Iterator<Item = &'a FieldElement<F>>>(iter: I) -> Self

Takes an iterator and generates Self from the elements by “summing up” the items.

impl<F: FieldExtension> Sum for FieldElement<F>

fn sum<I: Iterator<Item = FieldElement<F>>>(iter: I) -> Self

Takes an iterator and generates Self from the elements by “summing up” the items.

impl<F: FieldExtension> Zero for FieldElement<F>

fn zero() -> Self

The field’s additive identity.

fn is_zero(&self) -> bool

Returns true if self is equal to the additive identity.

fn set_zero(&mut self)

Sets self to the additive identity element of Self, 0.

impl<F: Copy + FieldExtension> Copy for FieldElement<F>

impl<F: FieldExtension> DefaultDotProduct<&FieldElement<F>, &FieldElement<F>> for FieldElement<F>

impl<F: FieldExtension> DefaultDotProduct<&FieldElement<F>, FieldElement<F>> for FieldElement<F>

impl<F: FieldExtension> DefaultDotProduct<FieldElement<F>, &FieldElement<F>> for FieldElement<F>

impl<F: FieldExtension> DefaultDotProduct for FieldElement<F>

impl<F: Eq + FieldExtension> Eq for FieldElement<F>

impl<F: FieldExtension> StructuralPartialEq for FieldElement<F>

Auto Trait Implementations§

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

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

impl<F> Send for FieldElement<F>

impl<F> Sync for FieldElement<F>

impl<F> Unpin for FieldElement<F>

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

Blanket Implementations§

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

fn type_id(&self) -> TypeId

Gets the TypeId of self. Read more

impl<'a, T, E> AsTaggedExplicit<'a, E> for T
where T: 'a,

fn explicit(self, class: Class, tag: u32) -> TaggedParser<'a, Explicit, Self, E>

impl<'a, T, E> AsTaggedImplicit<'a, E> for T
where T: 'a,

fn implicit( self, class: Class, constructed: bool, tag: u32, ) -> TaggedParser<'a, Implicit, Self, E>

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

fn borrow(&self) -> &T

Immutably borrows from an owned value. Read more

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

fn borrow_mut(&mut self) -> &mut T

Mutably borrows from an owned value. Read more

impl<T> CloneToUninit for T
where T: Clone,

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

impl<T> ConditionallyNegatable for T
where T: ConditionallySelectable, &'a T: for<'a> Neg<Output = T>,

fn conditional_negate(&mut self, choice: Choice)

Negate self if choice == Choice(1); otherwise, leave it unchanged. Read more

impl<T> ConditionallySelectable for T
where T: ConditionallySelectable,

fn conditional_select(a: &T, b: &T, choice: Choice) -> T

Select a or b according to choice. Read more

impl<T> ConstantTimeSelect for T
where T: ConditionallySelectable,

fn ct_select(a: &T, b: &T, choice: Choice) -> T

Select a or b according to choice. Read more

fn ct_assign(&mut self, other: &T, choice: Choice)

Conditionally assign other to self, according to choice.

fn ct_swap(a: &mut T, b: &mut T, choice: Choice)

Conditionally swap self and other if choice == 1; otherwise, reassign both unto themselves.

impl<T> Conv for T

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

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

impl<T, T1, T2> DotProduct<T1, T2> for T
where T: DefaultDotProduct<T1, T2>,

fn dot<I1, I2>(a: I1, b: I2) -> T
where I1: IntoExactSizeIterator<Item = T1>, I2: IntoExactSizeIterator<Item = T2>,

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.

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

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

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

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

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.

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

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

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

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

fn fmt_list(self) -> FmtList<Self>
where &'a Self: for<'a> IntoIterator,

Formats each item in a sequence. Read more

impl<T> From<T> for T

fn from(t: T) -> T

Returns the argument unchanged.

impl<T> Instrument for T

fn instrument(self, span: Span) -> Instrumented<Self>

Instruments this type with the provided Span, returning an Instrumented wrapper. Read more

fn in_current_span(self) -> Instrumented<Self>

Instruments this type with the current Span, returning an Instrumented wrapper. Read more

impl<T, U> Into for T
where U: From<T>,

fn into(self) -> U

Calls U::from(self).

That is, this conversion is whatever the implementation of From<T> for U chooses to do.

impl<T> IntoEither for T

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

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

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

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

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: 'a + ?Sized, R: 'a,

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: 'a + ?Sized, R: 'a,

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: 'a + ?Sized, R: 'a,

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: 'a + ?Sized, R: 'a,

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

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

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, T: 'a + ?Sized, R: 'a,

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

impl<T> Pointable for T

const ALIGN: usize

The alignment of pointer.

type Init = T

The type for initializers.

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

Initializes a with the given initializer. Read more

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

Dereferences the given pointer. Read more

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

Mutably dereferences the given pointer. Read more

unsafe fn drop(ptr: usize)

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

impl<T> Random for T
where Standard: Distribution<T>,

fn random(source: impl CryptoRngCore) -> T

fn random_n<Container: FromIterator<Self>>( rng: impl CryptoRngCore, size: usize, ) -> Container

impl<T> Reconstructible for T
where T: AdditiveShares + Serialize + DeserializeOwned + PartialEq + Send + Sync + 'static,

type Opening = T

The type that is sent to / received from other peers.

type Secret = T

The type of the reconstructed value.

fn open_to( &self, _peer_index: usize, ) -> Result<<T as Reconstructible>::Opening, PrimitiveError>

Open the share towards another peer.

fn open_to_all_others(&self) -> impl ExactSizeIterator

Open the share towards all other peers. Returns an iterator with either one opening for each peer or a single opening for all peers.

fn reconstruct( &self, openings: &[<T as Reconstructible>::Opening], ) -> Result<<T as Reconstructible>::Secret, PrimitiveError>

Reconstruct a secret from openings coming from all other parties.

fn reconstruct_all<S>( shares: &[S], ) -> Result<<T as Reconstructible>::Secret, PrimitiveError>
where S: Borrow<T>,

Reconstruct a secret from a collection of shares, by opening each share towards all other peers, reconstructing n secrets from the openings and checking that they are all equal.