Struct Gf2 

pub struct Gf2(/* private fields */);

Trait Implementations

impl AccReduce<&Gf2> for Gf2

type WideType = Gf2

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

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

fn zero_wide() -> Self::WideType

impl AccReduce for Gf2

type WideType = Gf2

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

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

fn zero_wide() -> Self::WideType

impl Add<&Gf2> for &Gf2

type Output = Gf2

The resulting type after applying the + operator.

fn add(self, rhs: &Gf2) -> Self::Output

Performs the + operation.

impl<'a> Add<&'a Gf2> for Gf2

lhs owned, rhs borrowed

type Output = Gf2

The resulting type after applying the + operator.

fn add(self, rhs: &'a Gf2) -> Self::Output

Performs the + operation.

impl<'a, P: Gf2ExtParams, const LIMBS: usize> Add<&'a Gf2> for Gf2Ext<P, LIMBS>

type Output = Gf2Ext<P, LIMBS>

The resulting type after applying the + operator.

fn add(self, rhs: &'a Gf2) -> Self::Output

Performs the + operation.

impl<'a> Add<Gf2> for &'a Gf2

lhs borrowed, rhs owned

type Output = Gf2

The resulting type after applying the + operator.

fn add(self, rhs: Gf2) -> Self::Output

Performs the + operation.

impl<P: Gf2ExtParams, const LIMBS: usize> Add<Gf2> for Gf2Ext<P, LIMBS>

type Output = Gf2Ext<P, LIMBS>

The resulting type after applying the + operator.

fn add(self, rhs: Gf2) -> Self::Output

Performs the + operation.

impl Add for Gf2

lhs owned, rhs owned

type Output = Gf2

The resulting type after applying the + operator.

fn add(self, rhs: Gf2) -> Self::Output

Performs the + operation.

impl AddAssign<&Gf2> for Gf2

fn add_assign(&mut self, rhs: &Gf2)

Performs the += operation.

impl AddAssign for Gf2

fn add_assign(&mut self, rhs: Self)

Performs the += operation.

impl Clone for Gf2

fn clone(&self) -> Gf2

Returns a duplicate of the value.

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

Performs copy-assignment from source.

impl ConditionallySelectable for Gf2

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

Select a or b according to choice.

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

Conditionally assign other to self, according to choice.

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

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

impl ConstantTimeEq for Gf2

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

Determine if two items are equal.

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

Determine if two items are NOT equal.

impl Debug for Gf2

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

Formats the value using the given formatter.

impl Default for Gf2

fn default() -> Self

Returns the “default value” for a type.

impl<'de> Deserialize<'de> for Gf2

fn deserialize<__D>(__deserializer: __D) -> Result<Self, __D::Error>

where __D: Deserializer<'de>,

Deserialize this value from the given Serde deserializer.

impl Field for Gf2

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:

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.

fn cube(&self) -> Self

Cubes this element.

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

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

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

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

fn pow<S>(&self, exp: S) -> Self

where S: AsRef<[u64]>,

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

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.

impl FieldExtension for Gf2

type Subfield = Gf2

type Degree = UInt<UTerm, B1>

type FieldBitSize = UInt<UTerm, B1>

type FieldBytesSize = UInt<UTerm, B1>

fn to_subfield_elements(&self) -> impl ExactSizeIterator<Item = Self::Subfield>

fn from_subfield_elements(elems: &[Self::Subfield]) -> Option<Self>

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

fn from_le_bytes(bytes: &[u8]) -> Option<Self>

fn mul_by_subfield(&self, other: &Self::Subfield) -> Self

fn generator() -> Self

fn random_elements<M: Positive>(rng: impl RngCore) -> HeapArray<Self, M>

fn linear_orthomorphism(&self) -> Self

Applies a linear orthomorphism to the current value.

impl From<&Choice> for Gf2

fn from(value: &Choice) -> Self

Converts to this type from the input type.

impl From<&Gf2> for Choice

fn from(value: &Gf2) -> Self

Converts to this type from the input type.

impl From<&Gf2> for bool

fn from(value: &Gf2) -> Self

Converts to this type from the input type.

impl From<&Gf2> for u64

fn from(value: &Gf2) -> Self

Converts to this type from the input type.

impl From<&bool> for Gf2

fn from(value: &bool) -> Self

Converts to this type from the input type.

impl From<Choice> for Gf2

fn from(value: Choice) -> Self

Converts to this type from the input type.

impl From<Gf2> for Choice

fn from(value: Gf2) -> Self

Converts to this type from the input type.

impl From<Gf2> for bool

fn from(value: Gf2) -> Self

Converts to this type from the input type.

impl From<bool> for Gf2

fn from(value: bool) -> Self

Converts to this type from the input type.

impl From<u128> for Gf2

fn from(val: u128) -> Self

Converts to this type from the input type.

impl From<u64> for Gf2

fn from(val: u64) -> Self

Converts to this type from the input type.

impl FromUniformBytes for Gf2

type UniformBytes = UInt<UTerm, B1>

fn from_uniform_bytes(bytes: &Array<u8, Self::UniformBytes>) -> Self

impl Hash for Gf2

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

Feeds this value into the given Hasher.

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

where H: Hasher, Self: Sized,

Feeds a slice of this type into the given Hasher.

impl IntoWide for Gf2

fn to_wide(&self) -> Gf2

fn zero_wide() -> Gf2

impl Mul<&Gf2> for &Gf2

type Output = Gf2

The resulting type after applying the * operator.

fn mul(self, rhs: &Gf2) -> Self::Output

Performs the * operation.

impl<'a> Mul<&'a Gf2> for Gf2

lhs owned, rhs borrowed

type Output = Gf2

The resulting type after applying the * operator.

fn mul(self, rhs: &'a Gf2) -> Self::Output

Performs the * operation.

impl<'a, P: Gf2ExtParams, const LIMBS: usize> Mul<&'a Gf2> for Gf2Ext<P, LIMBS>

type Output = Gf2Ext<P, LIMBS>

The resulting type after applying the * operator.

fn mul(self, rhs: &'a Gf2) -> Self::Output

Performs the * operation.

impl<'a> Mul<Gf2> for &'a Gf2

lhs borrowed, rhs owned

type Output = Gf2

The resulting type after applying the * operator.

fn mul(self, rhs: Gf2) -> Self::Output

Performs the * operation.

impl<P: Gf2ExtParams, const LIMBS: usize> Mul<Gf2> for Gf2Ext<P, LIMBS>

type Output = Gf2Ext<P, LIMBS>

The resulting type after applying the * operator.

fn mul(self, rhs: Gf2) -> Self::Output

Performs the * operation.

impl Mul for Gf2

lhs owned, rhs owned

type Output = Gf2

The resulting type after applying the * operator.

fn mul(self, rhs: Gf2) -> Self::Output

Performs the * operation.

impl<'a> MulAccReduce<&'a Gf2> for Gf2

type WideType = Gf2

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> MulAccReduce<&'a Gf2, &'b Gf2> for Gf2

type WideType = Gf2

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, 'b, P: Gf2ExtParams, const LIMBS: usize> MulAccReduce<&'a Gf2Ext<P, LIMBS>, &'b Gf2> for Gf2Ext<P, LIMBS>

type WideType = Gf2Ext<P, LIMBS>

fn mul_acc(acc: &mut Self, a: &'a Self, b: &'b Gf2)

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

fn zero_wide() -> Self::WideType

impl<'a, P: Gf2ExtParams, const LIMBS: usize> MulAccReduce<&'a Gf2Ext<P, LIMBS>, Gf2> for Gf2Ext<P, LIMBS>

type WideType = Gf2Ext<P, LIMBS>

fn mul_acc(acc: &mut Self, a: &'a Self, b: Gf2)

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

fn zero_wide() -> Self::WideType

impl<'a> MulAccReduce<Gf2, &'a Gf2> for Gf2

type WideType = Gf2

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

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

fn zero_wide() -> Self::WideType

impl<P: Gf2ExtParams, const LIMBS: usize> MulAccReduce<Gf2Ext<P, LIMBS>, Gf2> for Gf2Ext<P, LIMBS>

type WideType = Gf2Ext<P, LIMBS>

fn mul_acc(acc: &mut Self, a: Self, b: Gf2)

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

fn zero_wide() -> Self::WideType

impl MulAccReduce for Gf2

type WideType = Gf2

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

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

fn zero_wide() -> Self::WideType

impl<'a> MulAssign<&'a Gf2> for Gf2

fn mul_assign(&mut self, rhs: &'a Gf2)

Performs the *= operation.

impl<P: Gf2ExtParams, const LIMBS: usize> MulAssign<&Gf2> for Gf2Ext<P, LIMBS>

where Gf2Ext<P, LIMBS>: MulAssign,

fn mul_assign(&mut self, rhs: &Gf2)

Performs the *= operation.

impl<P: Gf2ExtParams, const LIMBS: usize> MulAssign<Gf2> for Gf2Ext<P, LIMBS>

where Gf2Ext<P, LIMBS>: MulAssign,

fn mul_assign(&mut self, rhs: Gf2)

Performs the *= operation.

impl MulAssign for Gf2

fn mul_assign(&mut self, rhs: Gf2)

Performs the *= operation.

impl Neg for &Gf2

type Output = Gf2

The resulting type after applying the - operator.

fn neg(self) -> Self::Output

Performs the unary - operation.

impl Neg for Gf2

type Output = Gf2

The resulting type after applying the - operator.

fn neg(self) -> Self::Output

Performs the unary - operation.

impl Ord for Gf2

fn cmp(&self, other: &Gf2) -> Ordering

This method returns an Ordering between self and other.

fn max(self, other: Self) -> Self

where Self: Sized,

Compares and returns the maximum of two values.

fn min(self, other: Self) -> Self

where Self: Sized,

Compares and returns the minimum of two values.

fn clamp(self, min: Self, max: Self) -> Self

where Self: Sized,

Restrict a value to a certain interval.

impl PartialEq for Gf2

fn eq(&self, other: &Gf2) -> bool

Tests for self and other values to be equal, and is used by ==.

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 PartialOrd for Gf2

fn partial_cmp(&self, other: &Gf2) -> Option<Ordering>

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

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

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

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

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

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

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

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

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

impl<'a> Product<&'a Gf2> for Gf2

fn product<I: Iterator<Item = &'a Gf2>>(iter: I) -> Self

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

impl Product for Gf2

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

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

impl ReduceWide for Gf2

fn reduce_mod_order(a: Self) -> Self

impl Serialize for Gf2

fn serialize<__S>(&self, __serializer: __S) -> Result<__S::Ok, __S::Error>

where __S: Serializer,

Serialize this value into the given Serde serializer.

impl Sub<&Gf2> for &Gf2

type Output = Gf2

The resulting type after applying the - operator.

fn sub(self, rhs: &Gf2) -> Self::Output

Performs the - operation.

impl<'a> Sub<&'a Gf2> for Gf2

lhs owned, rhs borrowed

type Output = Gf2

The resulting type after applying the - operator.

fn sub(self, rhs: &'a Gf2) -> Self::Output

Performs the - operation.

impl<'a> Sub<Gf2> for &'a Gf2

lhs borrowed, rhs owned

type Output = Gf2

The resulting type after applying the - operator.

fn sub(self, rhs: Gf2) -> Self::Output

Performs the - operation.

impl Sub for Gf2

lhs owned, rhs owned

type Output = Gf2

The resulting type after applying the - operator.

fn sub(self, rhs: Gf2) -> Self::Output

Performs the - operation.

impl SubAssign<&Gf2> for Gf2

fn sub_assign(&mut self, rhs: &Gf2)

Performs the -= operation.

impl SubAssign for Gf2

fn sub_assign(&mut self, rhs: Self)

Performs the -= operation.

impl<'a> Sum<&'a Gf2> for Gf2

fn sum<I: Iterator<Item = &'a Gf2>>(iter: I) -> Self

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

impl Sum for Gf2

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

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

impl Copy for Gf2

impl DefaultDotProduct<&Gf2, &Gf2> for Gf2

impl DefaultDotProduct<&Gf2, Gf2> for Gf2

impl<P: Gf2ExtParams, const LIMBS: usize> DefaultDotProduct<&Gf2Ext<P, LIMBS>, &Gf2> for Gf2Ext<P, LIMBS>

impl<P: Gf2ExtParams, const LIMBS: usize> DefaultDotProduct<&Gf2Ext<P, LIMBS>, Gf2> for Gf2Ext<P, LIMBS>

impl DefaultDotProduct<Gf2, &Gf2> for Gf2

impl<P: Gf2ExtParams, const LIMBS: usize> DefaultDotProduct<Gf2Ext<P, LIMBS>, Gf2> for Gf2Ext<P, LIMBS>

impl DefaultDotProduct for Gf2

impl Eq for Gf2

impl StructuralPartialEq for Gf2