Struct FF2 

pub struct FF2(/* private fields */);

An element of the finite field 𝔽₂.

Trait Implementations

impl Add for FF2

type Output = FF2

The resulting type after applying the + operator.

fn add(self, rhs: FF2) -> Self::Output

Performs the + operation.

impl Add<&FF2> for &FF2

type Output = FF2

The resulting type after applying the + operator.

fn add(self, rhs: &FF2) -> Self::Output

Performs the + operation.

impl Add<&FF2> for FF2

type Output = FF2

The resulting type after applying the + operator.

fn add(self, rhs: &FF2) -> Self::Output

Performs the + operation.

impl Add<FF2> for &FF2

type Output = FF2

The resulting type after applying the + operator.

fn add(self, rhs: FF2) -> Self::Output

Performs the + operation.

impl AddAssign for FF2

fn add_assign(&mut self, rhs: FF2)

Performs the += operation.

impl AddAssign<&FF2> for FF2

fn add_assign(&mut self, rhs: &FF2)

Performs the += operation.

impl AddGrp for FF2

impl AddGrpOps for FF2

impl AddGrpOps<FF2> for &FF2

impl AddMon for FF2

fn sum<A, I>(itr: I) -> Self

where Self: AddAssign<A>, I: IntoIterator<Item = A>,

Sum an iterator into Self, folding with +=.

impl AddMonOps for FF2

impl AddMonOps<FF2> for &FF2

impl Clone for FF2

fn clone(&self) -> FF2

Returns a duplicate of the value.

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

Performs copy-assignment from source.

impl Copy for FF2

impl Debug for FF2

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

Formats the value using the given formatter.

impl Default for FF2

fn default() -> FF2

Returns the “default value” for a type.

impl Display for FF2

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

Formats the value using the given formatter.

impl Div for FF2

type Output = FF2

The resulting type after applying the / operator.

fn div(self, rhs: FF2) -> Self::Output

Performs the / operation.

impl Div<&FF2> for &FF2

type Output = FF2

The resulting type after applying the / operator.

fn div(self, rhs: &FF2) -> Self::Output

Performs the / operation.

impl Div<&FF2> for FF2

type Output = FF2

The resulting type after applying the / operator.

fn div(self, rhs: &FF2) -> Self::Output

Performs the / operation.

impl Div<FF2> for &FF2

type Output = FF2

The resulting type after applying the / operator.

fn div(self, rhs: FF2) -> Self::Output

Performs the / operation.

impl DivAssign for FF2

fn div_assign(&mut self, rhs: FF2)

Performs the /= operation.

impl DivAssign<&FF2> for FF2

fn div_assign(&mut self, rhs: &FF2)

Performs the /= operation.

impl Eq for FF2

impl EucRing for FF2

fn divides(&self, y: &Self) -> bool

true iff self divides y (and self ≠ 0).

fn gcd(x: &Self, y: &Self) -> Self

Greatest common divisor, returned in normalized form.

fn gcdx(x: &Self, y: &Self) -> (Self, Self, Self)

Extended gcd: returns (d, s, t) such that d = gcd(x, y) = s·x + t·y, with d normalized.

fn lcm(x: &Self, y: &Self) -> Self

Least common multiple, returned in normalized form.

impl EucRingOps for FF2

impl EucRingOps<FF2> for &FF2

impl Field for FF2

impl FieldOps for FF2

impl FieldOps<FF2> for &FF2

impl<I> From<I> for FF2

where I: Integer,

fn from(a: I) -> Self

Converts to this type from the input type.

impl FromStr for FF2

type Err = ParseErr

The associated error which can be returned from parsing.

fn from_str(s: &str) -> Result<Self, Self::Err>

Parses a string s to return a value of this type.

impl MathType for FF2

fn math_symbol() -> String

impl Mon for FF2

fn product<A, I>(itr: I) -> Self

where Self: MulAssign<A>, I: IntoIterator<Item = A>,

Multiply an iterator of factors into Self, folding with *=.

impl MonOps for FF2

impl MonOps<FF2> for &FF2

impl Mul for FF2

type Output = FF2

The resulting type after applying the * operator.

fn mul(self, rhs: FF2) -> Self::Output

Performs the * operation.

impl Mul<&FF2> for &FF2

type Output = FF2

The resulting type after applying the * operator.

fn mul(self, rhs: &FF2) -> Self::Output

Performs the * operation.

impl Mul<&FF2> for FF2

type Output = FF2

The resulting type after applying the * operator.

fn mul(self, rhs: &FF2) -> Self::Output

Performs the * operation.

impl Mul<FF2> for &FF2

type Output = FF2

The resulting type after applying the * operator.

fn mul(self, rhs: FF2) -> Self::Output

Performs the * operation.

impl MulAssign for FF2

fn mul_assign(&mut self, rhs: FF2)

Performs the *= operation.

impl MulAssign<&FF2> for FF2

fn mul_assign(&mut self, rhs: &FF2)

Performs the *= operation.

impl Neg for FF2

type Output = FF2

The resulting type after applying the - operator.

fn neg(self) -> Self::Output

Performs the unary - operation.

impl Neg for &FF2

type Output = FF2

The resulting type after applying the - operator.

fn neg(self) -> Self::Output

Performs the unary - operation.

impl One for FF2

fn one() -> Self

Returns the multiplicative identity element of Self, 1.

fn is_one(&self) -> bool

Returns true if self is equal to the multiplicative identity.

fn set_one(&mut self)

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

impl PartialEq for FF2

fn eq(&self, other: &FF2) -> bool

Equality operator ==.

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

Inequality operator !=.

impl Pow<usize> for &FF2

type Output = FF2

The result after applying the operator.

fn pow(self, rhs: usize) -> Self::Output

Returns self to the power rhs.

impl Rem for FF2

type Output = FF2

The resulting type after applying the % operator.

fn rem(self, rhs: FF2) -> Self::Output

Performs the % operation.

impl Rem<&FF2> for &FF2

type Output = FF2

The resulting type after applying the % operator.

fn rem(self, rhs: &FF2) -> Self::Output

Performs the % operation.

impl Rem<&FF2> for FF2

type Output = FF2

The resulting type after applying the % operator.

fn rem(self, rhs: &FF2) -> Self::Output

Performs the % operation.

impl Rem<FF2> for &FF2

type Output = FF2

The resulting type after applying the % operator.

fn rem(self, rhs: FF2) -> Self::Output

Performs the % operation.

impl RemAssign for FF2

fn rem_assign(&mut self, rhs: FF2)

Performs the %= operation.

impl RemAssign<&FF2> for FF2

fn rem_assign(&mut self, rhs: &FF2)

Performs the %= operation.

impl Ring for FF2

fn inv(&self) -> Option<Self>

Multiplicative inverse, if this element is a unit; otherwise None.

fn is_unit(&self) -> bool

true iff this element is a unit (has a multiplicative inverse).

fn normalizing_unit(&self) -> Self

A unit u such that self * u is the chosen canonical associate of self.

fn c_weight(&self) -> f64

Heuristic cost of working with this element, used by chain-reduction pivot selection. Default: 0.0 for zero, 1.0 otherwise.

fn from_sign(s: Sign) -> Self

+1 if s is positive, -1 otherwise.

fn normalized(&self) -> Self

The canonical associate of self (i.e. self * self.normalizing_unit()).

fn into_normalized(self) -> Self

Like normalized, but consuming.

fn is_pm_one(&self) -> bool

true iff self is +1 or -1.

impl RingOps for FF2

impl RingOps<FF2> for &FF2

impl StructuralPartialEq for FF2

impl Sub for FF2

type Output = FF2

The resulting type after applying the - operator.

fn sub(self, rhs: FF2) -> Self::Output

Performs the - operation.

impl Sub<&FF2> for &FF2

type Output = FF2

The resulting type after applying the - operator.

fn sub(self, rhs: &FF2) -> Self::Output

Performs the - operation.

impl Sub<&FF2> for FF2

type Output = FF2

The resulting type after applying the - operator.

fn sub(self, rhs: &FF2) -> Self::Output

Performs the - operation.

impl Sub<FF2> for &FF2

type Output = FF2

The resulting type after applying the - operator.

fn sub(self, rhs: FF2) -> Self::Output

Performs the - operation.

impl SubAssign for FF2

fn sub_assign(&mut self, rhs: FF2)

Performs the -= operation.

impl SubAssign<&FF2> for FF2

fn sub_assign(&mut self, rhs: &FF2)

Performs the -= operation.

impl TeX for FF2

fn tex_math_symbol() -> String

fn tex_string(&self) -> String

impl Zero for FF2

fn zero() -> Self

Returns the additive identity element of Self, 0.

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.