Struct scuttlebutt::field::F45b

source · [−]

#[repr(transparent)]
pub struct F45b(_);

Expand description

An element of the finite field $\textsf{GF}(2^{45})$ reduced over $x^{45} + x^{28} + x^{17} + x^{11} + 1$

Trait Implementations

source

impl<'a> Add<&'a F45b> for &'a F45b

type Output = F45b

The resulting type after applying the + operator.

source

fn add(self, rhs: &'a F45b) -> Self::Output

Performs the + operation. Read more

source

impl<'a> Add<&'a F45b> for F45b

type Output = F45b

The resulting type after applying the + operator.

source

fn add(self, rhs: &'a F45b) -> Self::Output

Performs the + operation. Read more

source

impl<'a> Add<F45b> for &'a F45b

type Output = F45b

The resulting type after applying the + operator.

source

fn add(self, rhs: F45b) -> Self::Output

Performs the + operation. Read more

source

impl Add<F45b> for F45b

type Output = F45b

The resulting type after applying the + operator.

source

fn add(self, rhs: F45b) -> Self::Output

Performs the + operation. Read more

source

impl<'a> AddAssign<&'a F45b> for F45b

source

fn add_assign(&mut self, rhs: &'a F45b)

Performs the += operation. Read more

source

impl AddAssign<F45b> for F45b

source

fn add_assign(&mut self, rhs: F45b)

Performs the += operation. Read more

source

impl CanonicalSerialize for F45b

type Serializer = ByteElementSerializer<F45b>

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

type Deserializer = ByteElementDeserializer<F45b>

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>, B0>, B1>, B1>, B0>, 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.

source

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

Deserialize an element from a byte array. Read more

source

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

Serialize an element into a byte array. Read more

source

impl Clone for F45b

source

fn clone(&self) -> F45b

Returns a copy of the value. Read more

1.0.0 · source

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

Performs copy-assignment from source. Read more

source

impl ConditionallySelectable for F45b

source

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

Select a or b according to choice. Read more

source

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

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

source

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

source

impl ConstantTimeEq for F45b

source

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

Determine if two items are equal. Read more

source

impl Debug for F45b

source

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

Formats the value using the given formatter. Read more

source

impl Default for F45b

source

fn default() -> Self

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

source

impl<'de> Deserialize<'de> for F45b

source

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

Deserialize this value from the given Serde deserializer. Read more

source

impl Distribution<F45b> for Standard

source

fn sample<R: Rng + ?Sized>(&self, rng: &mut R) -> F45b

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

source

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

source

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

source

impl<'a> Div<&'a F45b> for &'a F45b

type Output = F45b

The resulting type after applying the / operator.

source

fn div(self, rhs: &'a F45b) -> Self::Output

Performs the / operation. Read more

source

impl<'a> Div<&'a F45b> for F45b

type Output = F45b

The resulting type after applying the / operator.

source

fn div(self, rhs: &'a F45b) -> Self::Output

Performs the / operation. Read more

source

impl<'a> Div<F45b> for &'a F45b

type Output = F45b

The resulting type after applying the / operator.

source

fn div(self, rhs: F45b) -> Self::Output

Performs the / operation. Read more

source

impl Div<F45b> for F45b

type Output = F45b

The resulting type after applying the / operator.

source

fn div(self, rhs: F45b) -> Self::Output

Performs the / operation. Read more

source

impl<'a> DivAssign<&'a F45b> for F45b

source

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

Performs the /= operation. Read more

source

impl DivAssign<F45b> for F45b

source

fn div_assign(&mut self, rhs: F45b)

Performs the /= operation. Read more

source

impl FiniteField for F45b

type PrimeField = F2

The prime-order subfield of the finite field.

source

const GENERATOR: Self = _

The generator for the multiplicative group.

source

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>, B0>, B1>, B1>, B0>, B1>

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

source

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

Decompose the given field element into bits. Read more

source

fn inverse(&self) -> Self

Compute the multiplicative inverse of self. Read more

source

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

source

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

source

impl FiniteRing for F45b

source

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

Construct an element from the given uniformly chosen random bytes.

source

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

Generate a random element.

source

const ZERO: Self = _

The additive identity element.

source

const ONE: Self = _

The multiplicative identity element.

source

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

Generate a random non-zero element.

source

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

Compute self to the power of n. Read more

source

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

source

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

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

source

impl From<F2> for F45b

source

fn from(pf: F2) -> Self

Converts to this type from the input type.

source

impl Hash for F45b

source

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

Feeds this value into the given Hasher. Read more

1.3.0 · source

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

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

source

impl IsSubFieldOf<F45b> for F2

type DegreeModulo = UInt<UInt<UInt<UInt<UInt<UInt<UTerm, B1>, B0>, B1>, B1>, B0>, B1>

The value $n$ from above.

source

fn decompose_superfield(fe: &F45b) -> GenericArray<Self, U45>

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

source

fn form_superfield(components: &GenericArray<Self, Self::DegreeModulo>) -> F45b

Homomorphically lift an array of Self into an FE.

source

impl<'a> Mul<&'a F45b> for &'a F45b

type Output = F45b

The resulting type after applying the * operator.

source

fn mul(self, rhs: &'a F45b) -> Self::Output

Performs the * operation. Read more

source

impl<'a> Mul<&'a F45b> for F45b

type Output = F45b

The resulting type after applying the * operator.

source

fn mul(self, rhs: &'a F45b) -> Self::Output

Performs the * operation. Read more

source

impl<'a> Mul<F45b> for &'a F45b

type Output = F45b

The resulting type after applying the * operator.

source

fn mul(self, rhs: F45b) -> Self::Output

Performs the * operation. Read more

source

impl Mul<F45b> for F2

type Output = F45b

The resulting type after applying the * operator.

source

fn mul(self, x: F45b) -> F45b

Performs the * operation. Read more

source

impl Mul<F45b> for F45b

type Output = F45b

The resulting type after applying the * operator.

source

fn mul(self, rhs: F45b) -> Self::Output

Performs the * operation. Read more

source

impl<'a> MulAssign<&'a F45b> for F45b

source

fn mul_assign(&mut self, rhs: &'a F45b)

Performs the *= operation. Read more

source

impl MulAssign<F45b> for F45b

source

fn mul_assign(&mut self, rhs: F45b)

Performs the *= operation. Read more

source

impl Neg for F45b

type Output = F45b

The resulting type after applying the - operator.

source

fn neg(self) -> Self::Output

Performs the unary - operation. Read more

source

impl One for F45b

source

fn one() -> Self

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

source

fn is_one(&self) -> bool

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

source

fn set_one(&mut self)

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

source

impl PartialEq<F45b> for F45b

source

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

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

1.0.0 · source

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

source

impl Product<F45b> for F45b

source

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

source

impl Serialize for F45b

source

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

Serialize this value into the given Serde serializer. Read more

source

impl SmallBinaryField for F45b

source

fn from_lower_bits(x: u64) -> Self

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

source

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

source

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

source

impl<'a> Sub<&'a F45b> for &'a F45b

type Output = F45b

The resulting type after applying the - operator.

source

fn sub(self, rhs: &'a F45b) -> Self::Output

Performs the - operation. Read more

source

impl<'a> Sub<&'a F45b> for F45b

type Output = F45b

The resulting type after applying the - operator.

source

fn sub(self, rhs: &'a F45b) -> Self::Output

Performs the - operation. Read more

source

impl<'a> Sub<F45b> for &'a F45b

type Output = F45b

The resulting type after applying the - operator.

source

fn sub(self, rhs: F45b) -> Self::Output

Performs the - operation. Read more

source

impl Sub<F45b> for F45b

type Output = F45b

The resulting type after applying the - operator.

source

fn sub(self, rhs: F45b) -> Self::Output

Performs the - operation. Read more

source

impl<'a> SubAssign<&'a F45b> for F45b

source

fn sub_assign(&mut self, rhs: &'a F45b)

Performs the -= operation. Read more

source

impl SubAssign<F45b> for F45b

source

fn sub_assign(&mut self, rhs: F45b)

Performs the -= operation. Read more

source

impl Sum<F45b> for F45b

source

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

source

impl TransparentWrapper<u64> for F45b

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

source

impl Zero for F45b

source

fn zero() -> Self

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

source

fn is_zero(&self) -> bool

Returns true if self is equal to the additive identity.

source

fn set_zero(&mut self)

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

source

impl Zeroable for F45b

impl StructuralEq for F45b

Auto Trait Implementations

impl RefUnwindSafe for F45b

impl Send for F45b

impl Sync for F45b

impl Unpin for F45b

impl UnwindSafe for F45b

Blanket Implementations

source

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

source

fn type_id(&self) -> TypeId

Gets the TypeId of self. Read more

source

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

const: unstable · source

fn borrow(&self) -> &T

Immutably borrows from an owned value. Read more

source

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

source

impl<T> From<T> for T

const: unstable · source

fn from(t: T) -> T

Returns the argument unchanged.

source

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.

source

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

type DegreeModulo = UInt<UTerm, B1>

The value $n$ from above.

source

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

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

source

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

source

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

source

impl<T> ToOwned for Twhere
T: Clone,

type Owned = T

The resulting type after obtaining ownership.

source

fn to_owned(&self) -> T

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

source

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

source

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.

source

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

source

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

source

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

source

Struct scuttlebutt::field::F45b

Trait Implementations

impl<'a> Add<&'a F45b> for &'a F45b

type Output = F45b

fn add(self, rhs: &'a F45b) -> Self::Output

impl<'a> Add<&'a F45b> for F45b

type Output = F45b

fn add(self, rhs: &'a F45b) -> Self::Output

impl<'a> Add<F45b> for &'a F45b

type Output = F45b

fn add(self, rhs: F45b) -> Self::Output

impl Add<F45b> for F45b

type Output = F45b

fn add(self, rhs: F45b) -> Self::Output

impl<'a> AddAssign<&'a F45b> for F45b

fn add_assign(&mut self, rhs: &'a F45b)

impl AddAssign<F45b> for F45b

fn add_assign(&mut self, rhs: F45b)

impl CanonicalSerialize for F45b

type Serializer = ByteElementSerializer<F45b>

type Deserializer = ByteElementDeserializer<F45b>

type ByteReprLen = <<UInt<UInt<UInt<UTerm, B1>, B1>, B1> as Add<UInt<UInt<UInt<UInt<UInt<UInt<UTerm, B1>, B0>, B1>, B1>, B0>, 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 F45b

fn clone(&self) -> F45b

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

impl ConditionallySelectable for F45b

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 F45b

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

impl Debug for F45b

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

impl Default for F45b

fn default() -> Self

impl<'de> Deserialize<'de> for F45b

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

impl Distribution<F45b> for Standard

fn sample<R: Rng + ?Sized>(&self, rng: &mut R) -> F45b

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 F45b> for &'a F45b

type Output = F45b

fn div(self, rhs: &'a F45b) -> Self::Output

impl<'a> Div<&'a F45b> for F45b

type Output = F45b

fn div(self, rhs: &'a F45b) -> Self::Output

impl<'a> Div<F45b> for &'a F45b

type Output = F45b

fn div(self, rhs: F45b) -> Self::Output

impl Div<F45b> for F45b

type Output = F45b

fn div(self, rhs: F45b) -> Self::Output

impl<'a> DivAssign<&'a F45b> for F45b

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

impl DivAssign<F45b> for F45b

fn div_assign(&mut self, rhs: F45b)

impl FiniteField for F45b

type PrimeField = F2

const GENERATOR: Self = _

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

type NumberOfBitsInBitDecomposition = UInt<UInt<UInt<UInt<UInt<UInt<UTerm, B1>, B0>, B1>, B1>, B0>, 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 F45b

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 F45b

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>,