Struct scuttlebutt::field::F63b

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#[repr(transparent)]
pub struct F63b(_);

Expand description

An element of the finite field $\textsf{GF}(2^{63})$ reduced over $x^{63} + x + 1$

Trait Implementations

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impl<'a> Add<&'a F63b> for &'a F63b

type Output = F63b

The resulting type after applying the + operator.

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fn add(self, rhs: &'a F63b) -> Self::Output

Performs the + operation. Read more

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impl<'a> Add<&'a F63b> for F63b

type Output = F63b

The resulting type after applying the + operator.

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fn add(self, rhs: &'a F63b) -> Self::Output

Performs the + operation. Read more

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impl<'a> Add<F63b> for &'a F63b

type Output = F63b

The resulting type after applying the + operator.

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fn add(self, rhs: F63b) -> Self::Output

Performs the + operation. Read more

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impl Add<F63b> for F63b

type Output = F63b

The resulting type after applying the + operator.

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fn add(self, rhs: F63b) -> Self::Output

Performs the + operation. Read more

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impl<'a> AddAssign<&'a F63b> for F63b

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fn add_assign(&mut self, rhs: &'a F63b)

Performs the += operation. Read more

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impl AddAssign<F63b> for F63b

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fn add_assign(&mut self, rhs: F63b)

Performs the += operation. Read more

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impl CanonicalSerialize for F63b

type Serializer = ByteElementSerializer<F63b>

A way to serialize field elements of this type. Read more

type Deserializer = ByteElementDeserializer<F63b>

A way to deserialize field elements of this type. Read more

type ByteReprLen = <<UInt<UInt<UInt<UTerm, B1>, B1>, B1> as Add<UInt<UInt<UInt<UInt<UInt<UInt<UTerm, B1>, B1>, B1>, B1>, B1>, B1>>>::Output as Div<UInt<UInt<UInt<UInt<UTerm, B1>, B0>, B0>, B0>>>::Output

The number of bytes in the byte representation for this element.

type FromBytesError = BiggerThanModulus

The error that can result from trying to decode an invalid byte sequence.

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fn from_bytes(
bytes: &GenericArray<u8, Self::ByteReprLen>
) -> Result<Self, Self::FromBytesError>

Deserialize an element from a byte array. Read more

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fn to_bytes(&self) -> GenericArray<u8, Self::ByteReprLen>

Serialize an element into a byte array. Read more

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impl Clone for F63b

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fn clone(&self) -> F63b

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 ConditionallySelectable for F63b

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

Select a or b according to choice. Read more

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

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

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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

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impl ConstantTimeEq for F63b

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

Determine if two items are equal. Read more

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impl Debug for F63b

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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 Default for F63b

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fn default() -> Self

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

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impl<'de> Deserialize<'de> for F63b

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

Deserialize this value from the given Serde deserializer. Read more

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impl Distribution<F63b> for Standard

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fn sample<R: Rng + ?Sized>(&self, rng: &mut R) -> F63b

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

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

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

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

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

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impl<'a> Div<&'a F63b> for &'a F63b

type Output = F63b

The resulting type after applying the / operator.

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fn div(self, rhs: &'a F63b) -> Self::Output

Performs the / operation. Read more

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impl<'a> Div<&'a F63b> for F63b

type Output = F63b

The resulting type after applying the / operator.

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fn div(self, rhs: &'a F63b) -> Self::Output

Performs the / operation. Read more

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impl<'a> Div<F63b> for &'a F63b

type Output = F63b

The resulting type after applying the / operator.

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fn div(self, rhs: F63b) -> Self::Output

Performs the / operation. Read more

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impl Div<F63b> for F63b

type Output = F63b

The resulting type after applying the / operator.

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fn div(self, rhs: F63b) -> Self::Output

Performs the / operation. Read more

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impl<'a> DivAssign<&'a F63b> for F63b

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fn div_assign(&mut self, rhs: &Self)

Performs the /= operation. Read more

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impl DivAssign<F63b> for F63b

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fn div_assign(&mut self, rhs: F63b)

Performs the /= operation. Read more

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impl FiniteField for F63b

type PrimeField = F2

The prime-order subfield of the finite field.

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const GENERATOR: Self = _

The generator for the multiplicative group.

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fn polynomial_modulus() -> Polynomial<Self::PrimeField>

Multiplication over field elements should be reduced over this polynomial.

type NumberOfBitsInBitDecomposition = UInt<UInt<UInt<UInt<UInt<UInt<UTerm, B1>, B1>, B1>, B1>, B1>, B1>

The number of bits in the bit decomposition of any element of this finite field. Read more

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fn bit_decomposition(
&self
) -> GenericArray<bool, Self::NumberOfBitsInBitDecomposition>

Decompose the given field element into bits. Read more

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fn inverse(&self) -> Self

Compute the multiplicative inverse of self. Read more

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fn decompose<T: FiniteField + IsSubFieldOf<Self>>(
&self
) -> GenericArray<T, DegreeModulo<T, Self>>

Decompose self into an array of T elements where T is a subfield of Self. Read more

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fn from_subfield<T: FiniteField + IsSubFieldOf<Self>>(
arr: &GenericArray<T, DegreeModulo<T, Self>>
) -> Self

Create a field element from an array of subfield T elements. Read more

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impl FiniteRing for F63b

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fn from_uniform_bytes(x: &[u8 ; 16]) -> Self

Construct an element from the given uniformly chosen random bytes.

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fn random<R: RngCore + ?Sized>(rng: &mut R) -> Self

Generate a random element.

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const ZERO: Self = _

The additive identity element.

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const ONE: Self = _

The multiplicative identity element.

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fn random_nonzero<R: Rng + ?Sized>(rng: &mut R) -> Self

Generate a random non-zero element.

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fn pow(&self, n: u128) -> Self

Compute self to the power of n. Read more

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fn pow_bounded(&self, n: u128, bound: u16) -> Self

Compute self to the power of n, where n is guaranteed to be <= 2^bound. Read more

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fn pow_var_time(&self, n: u128) -> Self

Compute self to the power of n, in non-constant time.

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impl From<F2> for F63b

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fn from(pf: F2) -> Self

Converts to this type from the input type.

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impl Hash for F63b

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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,

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

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impl IsSubFieldOf<F63b> for F2

type DegreeModulo = UInt<UInt<UInt<UInt<UInt<UInt<UTerm, B1>, B1>, B1>, B1>, B1>, B1>

The value $n$ from above.

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fn decompose_superfield(fe: &F63b) -> GenericArray<Self, U63>

Turn FE into an array of Self, a subfield of FE.

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fn form_superfield(components: &GenericArray<Self, Self::DegreeModulo>) -> F63b

Homomorphically lift an array of Self into an FE.

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impl<'a> Mul<&'a F63b> for &'a F63b

type Output = F63b

The resulting type after applying the * operator.

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fn mul(self, rhs: &'a F63b) -> Self::Output

Performs the * operation. Read more

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impl<'a> Mul<&'a F63b> for F63b

type Output = F63b

The resulting type after applying the * operator.

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fn mul(self, rhs: &'a F63b) -> Self::Output

Performs the * operation. Read more

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impl<'a> Mul<F63b> for &'a F63b

type Output = F63b

The resulting type after applying the * operator.

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fn mul(self, rhs: F63b) -> Self::Output

Performs the * operation. Read more

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impl Mul<F63b> for F2

type Output = F63b

The resulting type after applying the * operator.

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fn mul(self, x: F63b) -> F63b

Performs the * operation. Read more

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impl Mul<F63b> for F63b

type Output = F63b

The resulting type after applying the * operator.

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fn mul(self, rhs: F63b) -> Self::Output

Performs the * operation. Read more

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impl<'a> MulAssign<&'a F63b> for F63b

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fn mul_assign(&mut self, rhs: &'a F63b)

Performs the *= operation. Read more

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impl MulAssign<F63b> for F63b

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fn mul_assign(&mut self, rhs: F63b)

Performs the *= operation. Read more

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impl Neg for F63b

type Output = F63b

The resulting type after applying the - operator.

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fn neg(self) -> Self::Output

Performs the unary - operation. Read more

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impl One for F63b

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fn one() -> Self

Returns the multiplicative identity element of Self, 1. Read more

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fn is_one(&self) -> bool

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

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fn set_one(&mut self)

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

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impl PartialEq<F63b> for F63b

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fn eq(&self, other: &Self) -> bool

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

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

This method tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason. Read more

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impl Product<F63b> for F63b

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

Method which takes an iterator and generates Self from the elements by multiplying the items. Read more

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impl Serialize for F63b

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

Serialize this value into the given Serde serializer. Read more

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impl SmallBinaryField for F63b

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fn from_lower_bits(x: u64) -> Self

Produce a field element of Self by zeroing the upper bits of x.

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fn reduce(product: U64x2) -> Self

Reduce the result of a single 128-bit carryless multiply of two Self values modulo [FiniteField::reduce_multiplication_over()] Read more

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fn reduce_vectored<const N: usize>(
 uppers: [U64x2 ; N],
 lowers: [U64x2 ; N]
) -> [U64x2 ; N]where
 ArrayUnrolledOps: UnrollableArraySize<N>,

Reduce the result of several 128-bit carryless multiply operations over [FiniteField::reduce_multiplication_over()]. Read more

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impl<'a> Sub<&'a F63b> for &'a F63b

type Output = F63b

The resulting type after applying the - operator.

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fn sub(self, rhs: &'a F63b) -> Self::Output

Performs the - operation. Read more

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impl<'a> Sub<&'a F63b> for F63b

type Output = F63b

The resulting type after applying the - operator.

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fn sub(self, rhs: &'a F63b) -> Self::Output

Performs the - operation. Read more

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impl<'a> Sub<F63b> for &'a F63b

type Output = F63b

The resulting type after applying the - operator.

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fn sub(self, rhs: F63b) -> Self::Output

Performs the - operation. Read more

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impl Sub<F63b> for F63b

type Output = F63b

The resulting type after applying the - operator.

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fn sub(self, rhs: F63b) -> Self::Output

Performs the - operation. Read more

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impl<'a> SubAssign<&'a F63b> for F63b

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fn sub_assign(&mut self, rhs: &'a F63b)

Performs the -= operation. Read more

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impl SubAssign<F63b> for F63b

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fn sub_assign(&mut self, rhs: F63b)

Performs the -= operation. Read more

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impl Sum<F63b> for F63b

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

Method which takes an iterator and generates Self from the elements by “summing up” the items. Read more

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impl TransparentWrapper<u64> for F63b

fn wrap(s: Inner) -> Self

Convert the inner type into the wrapper type.

fn wrap_ref(s: &Inner) -> &Self

Convert a reference to the inner type into a reference to the wrapper type. Read more

fn wrap_mut(s: &mut Inner) -> &mut Self

Convert a mutable reference to the inner type into a mutable reference to the wrapper type. Read more

fn wrap_slice(s: &[Inner]) -> &[Self]ⓘNotable traits for &[u8]`impl Read for &[u8]impl Write for &mut [u8]`

Convert a slice to the inner type into a slice to the wrapper type.

fn wrap_slice_mut(s: &mut [Inner]) -> &mut [Self]ⓘNotable traits for &[u8]`impl Read for &[u8]impl Write for &mut [u8]`

Convert a mutable slice to the inner type into a mutable slice to the wrapper type. Read more

fn peel(s: Self) -> Inner

Convert the wrapper type into the inner type.

fn peel_ref(s: &Self) -> &Inner

Convert a reference to the wrapper type into a reference to the inner type. Read more

fn peel_mut(s: &mut Self) -> &mut Inner

Convert a mutable reference to the wrapper type into a mutable reference to the inner type. Read more

fn peel_slice(s: &[Self]) -> &[Inner]ⓘNotable traits for &[u8]`impl Read for &[u8]impl Write for &mut [u8]`

Convert a slice to the wrapped type into a slice to the inner type.

fn peel_slice_mut(s: &mut [Self]) -> &mut [Inner]ⓘNotable traits for &[u8]`impl Read for &[u8]impl Write for &mut [u8]`

Convert a mutable slice to the wrapped type into a mutable slice to the inner type. Read more

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impl Zero for F63b

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fn zero() -> Self

Returns the additive identity element of Self, 0. Read more

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fn is_zero(&self) -> bool

Returns true if self is equal to the additive identity.

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fn set_zero(&mut self)

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

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impl Zeroable for F63b

impl StructuralEq for F63b

Auto Trait Implementations

impl RefUnwindSafe for F63b

impl Send for F63b

impl Sync for F63b

impl Unpin for F63b

impl UnwindSafe for F63b

Blanket Implementations

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impl<T> Any for Twhere
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 Twhere
T: ?Sized,

const: unstable · source

fn borrow(&self) -> &T

Immutably borrows from an owned value. Read more

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

const: unstable · source

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

Mutably borrows from an owned value. Read more

impl<T> Conv for T

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

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

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

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

Formats each item in a sequence. Read more

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impl<T> From<T> for T

const: unstable · source

fn from(t: T) -> T

Returns the argument unchanged.

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

const: unstable · source

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<FE> IsSubFieldOf<FE> for FEwhere
FE: FiniteField,

type DegreeModulo = UInt<UTerm, B1>

The value $n$ from above.

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fn decompose_superfield(
fe: &FE
) -> GenericArray<FE, <FE as IsSubFieldOf<FE>>::DegreeModulo>

Turn FE into an array of Self, a subfield of FE.

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fn form_superfield(
components: &GenericArray<FE, <FE as IsSubFieldOf<FE>>::DegreeModulo>
) -> FE

Homomorphically lift an array of Self into an FE.

impl<T> Pipe for Twhere
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) -> Rwhere
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) -> Rwhere
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) -> Rwhere
 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
) -> Rwhere
 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) -> Rwhere
 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) -> Rwhere
 Self: AsMut,
 U: 'a + ?Sized,
 R: 'a,

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) -> Rwhere
 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) -> Rwhere
 Self: DerefMut<Target = T> + Deref,
 T: 'a + ?Sized,
 R: 'a,

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

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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(self, func: impl FnOnce(&B)) -> Selfwhere
Self: Borrow,
B: ?Sized,

Immutable access to the Borrow of a value. Read more

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

Mutable access to the BorrowMut of a value. Read more

fn tap_ref<R>(self, func: impl FnOnce(&R)) -> Selfwhere
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)) -> Selfwhere
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)) -> Selfwhere
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)) -> Selfwhere
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(self, func: impl FnOnce(&B)) -> Selfwhere
Self: Borrow,
B: ?Sized,

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

fn tap_borrow_mut_dbg(self, func: impl FnOnce(&mut B)) -> Selfwhere
Self: BorrowMut,
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)) -> Selfwhere
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)) -> Selfwhere
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)) -> Selfwhere
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)) -> Selfwhere
Self: DerefMut<Target = T> + Deref,
T: ?Sized,

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

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impl<T> ToOwned for Twhere
T: Clone,

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

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

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impl<T, U> TryFrom for Twhere
U: Into<T>,

type Error = Infallible

The type returned in the event of a conversion error.

const: unstable · source

fn try_from(value: U) -> Result<T, <T as TryFrom>::Error>

Performs the conversion.

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impl<T, U> TryInto for Twhere
U: TryFrom<T>,

type Error = >::Error

The type returned in the event of a conversion error.

const: unstable · source

fn try_into(self) -> Result<U, >::Error>

Performs the conversion.

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

fn vzip(self) -> V

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impl<T> DeserializeOwned for Twhere
T: for<'de> Deserialize<'de>,

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impl<R> IsSubRingOf<R> for Rwhere
R: FiniteRing,

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Struct scuttlebutt::field::F63b

Trait Implementations

impl<'a> Add<&'a F63b> for &'a F63b

type Output = F63b

fn add(self, rhs: &'a F63b) -> Self::Output

impl<'a> Add<&'a F63b> for F63b

type Output = F63b

fn add(self, rhs: &'a F63b) -> Self::Output

impl<'a> Add<F63b> for &'a F63b

type Output = F63b

fn add(self, rhs: F63b) -> Self::Output

impl Add<F63b> for F63b

type Output = F63b

fn add(self, rhs: F63b) -> Self::Output

impl<'a> AddAssign<&'a F63b> for F63b

fn add_assign(&mut self, rhs: &'a F63b)

impl AddAssign<F63b> for F63b

fn add_assign(&mut self, rhs: F63b)

impl CanonicalSerialize for F63b

type Serializer = ByteElementSerializer<F63b>

type Deserializer = ByteElementDeserializer<F63b>

type ByteReprLen = <<UInt<UInt<UInt<UTerm, B1>, B1>, B1> as Add<UInt<UInt<UInt<UInt<UInt<UInt<UTerm, B1>, B1>, B1>, B1>, B1>, B1>>>::Output as Div<UInt<UInt<UInt<UInt<UTerm, B1>, B0>, B0>, B0>>>::Output

type FromBytesError = BiggerThanModulus

fn from_bytes( bytes: &GenericArray<u8, Self::ByteReprLen>) -> Result<Self, Self::FromBytesError>

fn to_bytes(&self) -> GenericArray<u8, Self::ByteReprLen>

impl Clone for F63b

fn clone(&self) -> F63b

fn clone_from(&mut self, source: &Self)

impl ConditionallySelectable for F63b

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

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

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

impl ConstantTimeEq for F63b

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

impl Debug for F63b

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

impl Default for F63b

fn default() -> Self

impl<'de> Deserialize<'de> for F63b

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

impl Distribution<F63b> for Standard

fn sample<R: Rng + ?Sized>(&self, rng: &mut R) -> F63b

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

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

impl<'a> Div<&'a F63b> for &'a F63b

type Output = F63b

fn div(self, rhs: &'a F63b) -> Self::Output

impl<'a> Div<&'a F63b> for F63b

type Output = F63b

fn div(self, rhs: &'a F63b) -> Self::Output

impl<'a> Div<F63b> for &'a F63b

type Output = F63b

fn div(self, rhs: F63b) -> Self::Output

impl Div<F63b> for F63b

type Output = F63b

fn div(self, rhs: F63b) -> Self::Output

impl<'a> DivAssign<&'a F63b> for F63b

fn div_assign(&mut self, rhs: &Self)

impl DivAssign<F63b> for F63b

fn div_assign(&mut self, rhs: F63b)

impl FiniteField for F63b

type PrimeField = F2

const GENERATOR: Self = _

fn polynomial_modulus() -> Polynomial<Self::PrimeField>

type NumberOfBitsInBitDecomposition = UInt<UInt<UInt<UInt<UInt<UInt<UTerm, B1>, B1>, B1>, B1>, B1>, B1>

fn bit_decomposition( &self) -> GenericArray<bool, Self::NumberOfBitsInBitDecomposition>

fn inverse(&self) -> Self

fn decompose<T: FiniteField + IsSubFieldOf<Self>>( &self) -> GenericArray<T, DegreeModulo<T, Self>>

fn from_subfield<T: FiniteField + IsSubFieldOf<Self>>( arr: &GenericArray<T, DegreeModulo<T, Self>>) -> Self

impl FiniteRing for F63b

fn from_uniform_bytes(x: &[u8; 16]) -> Self

fn random<R: RngCore + ?Sized>(rng: &mut R) -> Self

const ZERO: Self = _

const ONE: Self = _

fn random_nonzero<R: Rng + ?Sized>(rng: &mut R) -> Self

fn pow(&self, n: u128) -> Self

fn pow_bounded(&self, n: u128, bound: u16) -> Self

fn pow_var_time(&self, n: u128) -> Self

impl From<F2> for F63b

fn from(pf: F2) -> Self

fn from_bytes(
bytes: &GenericArray<u8, Self::ByteReprLen>
) -> Result<Self, Self::FromBytesError>

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

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

fn bit_decomposition(
&self
) -> GenericArray<bool, Self::NumberOfBitsInBitDecomposition>

fn decompose<T: FiniteField + IsSubFieldOf<Self>>(
&self
) -> GenericArray<T, DegreeModulo<T, Self>>

fn from_subfield<T: FiniteField + IsSubFieldOf<Self>>(
arr: &GenericArray<T, DegreeModulo<T, Self>>
) -> Self

fn from_uniform_bytes(x: &[u8 ; 16]) -> Self

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

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

fn reduce_vectored<const N: usize>(
uppers: [U64x2 ; N],
lowers: [U64x2 ; N]
) -> [U64x2 ; N]where
ArrayUnrolledOps: UnrollableArraySize<N>,