Struct FF 

pub struct FF<const p: i32>(/* private fields */);

Implementations

impl<const p: i32> FF<p>

pub fn new(a: i32) -> Self

pub fn rep(&self) -> &i32

Trait Implementations

impl<'a, 'b, const p: i32> Add<&'b FF<p>> for &'a FF<p>

type Output = FF<p>

The resulting type after applying the + operator.

fn add(self, rhs: &'b FF<p>) -> Self::Output

Performs the + operation.

impl<'a, 'b, const p: i32> Add<&'b FF<p>> for FF<p>

type Output = FF<p>

The resulting type after applying the + operator.

fn add(self, rhs: &'b FF<p>) -> Self::Output

Performs the + operation.

impl<'a, 'b, const p: i32> Add<FF<p>> for &'a FF<p>

type Output = FF<p>

The resulting type after applying the + operator.

fn add(self, rhs: FF<p>) -> Self::Output

Performs the + operation.

impl<'a, 'b, const p: i32> Add for FF<p>

type Output = FF<p>

The resulting type after applying the + operator.

fn add(self, rhs: FF<p>) -> Self::Output

Performs the + operation.

impl<'a, 'b, const p: i32> AddAssign<&'b FF<p>> for FF<p>

fn add_assign(&mut self, rhs: &'b FF<p>)

Performs the += operation.

impl<'a, 'b, const p: i32> AddAssign for FF<p>

fn add_assign(&mut self, rhs: FF<p>)

Performs the += operation.

impl<const p: i32> AddMon for FF<p>

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

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

impl<const p: i32> Clone for FF<p>

fn clone(&self) -> FF<p>

Returns a duplicate of the value.

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

Performs copy-assignment from source.

impl<const p: i32> Debug for FF<p>

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

Formats the value using the given formatter.

impl<const p: i32> Default for FF<p>

fn default() -> FF<p>

Returns the “default value” for a type.

impl<const p: i32> Display for FF<p>

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

Formats the value using the given formatter.

impl<'a, 'b, const p: i32> Div<&'b FF<p>> for &'a FF<p>

type Output = FF<p>

The resulting type after applying the / operator.

fn div(self, rhs: &'b FF<p>) -> Self::Output

Performs the / operation.

impl<'a, 'b, const p: i32> Div<&'b FF<p>> for FF<p>

type Output = FF<p>

The resulting type after applying the / operator.

fn div(self, rhs: &'b FF<p>) -> Self::Output

Performs the / operation.

impl<'a, 'b, const p: i32> Div<FF<p>> for &'a FF<p>

type Output = FF<p>

The resulting type after applying the / operator.

fn div(self, rhs: FF<p>) -> Self::Output

Performs the / operation.

impl<'a, 'b, const p: i32> Div for FF<p>

type Output = FF<p>

The resulting type after applying the / operator.

fn div(self, rhs: FF<p>) -> Self::Output

Performs the / operation.

impl<'a, 'b, const p: i32> DivAssign<&'b FF<p>> for FF<p>

fn div_assign(&mut self, rhs: &'b FF<p>)

Performs the /= operation.

impl<'a, 'b, const p: i32> DivAssign for FF<p>

fn div_assign(&mut self, rhs: FF<p>)

Performs the /= operation.

impl<const p: i32> Elem for FF<p>

fn math_symbol() -> String

impl<const p: i32> EucRing for FF<p>

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

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

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

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

impl<const p: i32> From<i32> for FF<p>

fn from(a: i32) -> Self

Converts to this type from the input type.

impl<const p: i32> FromStr for FF<p>

type Err = <i32 as FromStr>::Err

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<const p: i32> Mon for FF<p>

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

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

impl<'a, 'b, const p: i32> Mul<&'b FF<p>> for &'a FF<p>

type Output = FF<p>

The resulting type after applying the * operator.

fn mul(self, rhs: &'b FF<p>) -> Self::Output

Performs the * operation.

impl<'a, 'b, const p: i32> Mul<&'b FF<p>> for FF<p>

type Output = FF<p>

The resulting type after applying the * operator.

fn mul(self, rhs: &'b FF<p>) -> Self::Output

Performs the * operation.

impl<'a, 'b, const p: i32> Mul<FF<p>> for &'a FF<p>

type Output = FF<p>

The resulting type after applying the * operator.

fn mul(self, rhs: FF<p>) -> Self::Output

Performs the * operation.

impl<'a, 'b, const p: i32> Mul for FF<p>

type Output = FF<p>

The resulting type after applying the * operator.

fn mul(self, rhs: FF<p>) -> Self::Output

Performs the * operation.

impl<'a, 'b, const p: i32> MulAssign<&'b FF<p>> for FF<p>

fn mul_assign(&mut self, rhs: &'b FF<p>)

Performs the *= operation.

impl<'a, 'b, const p: i32> MulAssign for FF<p>

fn mul_assign(&mut self, rhs: FF<p>)

Performs the *= operation.

impl<'a, const p: i32> Neg for &'a FF<p>

type Output = FF<p>

The resulting type after applying the - operator.

fn neg(self) -> Self::Output

Performs the unary - operation.

impl<const p: i32> Neg for FF<p>

type Output = FF<p>

The resulting type after applying the - operator.

fn neg(self) -> Self::Output

Performs the unary - operation.

impl<const p: i32> One for FF<p>

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<const p: i32> PartialEq for FF<p>

fn eq(&self, other: &FF<p>) -> 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<'a, 'b, const p: i32> Rem<&'b FF<p>> for &'a FF<p>

type Output = FF<p>

The resulting type after applying the % operator.

fn rem(self, rhs: &'b FF<p>) -> Self::Output

Performs the % operation.

impl<'a, 'b, const p: i32> Rem<&'b FF<p>> for FF<p>

type Output = FF<p>

The resulting type after applying the % operator.

fn rem(self, rhs: &'b FF<p>) -> Self::Output

Performs the % operation.

impl<'a, 'b, const p: i32> Rem<FF<p>> for &'a FF<p>

type Output = FF<p>

The resulting type after applying the % operator.

fn rem(self, rhs: FF<p>) -> Self::Output

Performs the % operation.

impl<'a, 'b, const p: i32> Rem for FF<p>

type Output = FF<p>

The resulting type after applying the % operator.

fn rem(self, rhs: FF<p>) -> Self::Output

Performs the % operation.

impl<'a, 'b, const p: i32> RemAssign<&'b FF<p>> for FF<p>

fn rem_assign(&mut self, rhs: &'b FF<p>)

Performs the %= operation.

impl<'a, 'b, const p: i32> RemAssign for FF<p>

fn rem_assign(&mut self, rhs: FF<p>)

Performs the %= operation.

impl<const p: i32> Ring for FF<p>

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

fn is_unit(&self) -> bool

fn normalizing_unit(&self) -> Self

fn from_sign(s: Sign) -> Self

fn normalized(&self) -> Self

fn into_normalized(self) -> Self

fn is_pm_one(&self) -> bool

fn c_weight(&self) -> f64

impl<'a, 'b, const p: i32> Sub<&'b FF<p>> for &'a FF<p>

type Output = FF<p>

The resulting type after applying the - operator.

fn sub(self, rhs: &'b FF<p>) -> Self::Output

Performs the - operation.

impl<'a, 'b, const p: i32> Sub<&'b FF<p>> for FF<p>

type Output = FF<p>

The resulting type after applying the - operator.

fn sub(self, rhs: &'b FF<p>) -> Self::Output

Performs the - operation.

impl<'a, 'b, const p: i32> Sub<FF<p>> for &'a FF<p>

type Output = FF<p>

The resulting type after applying the - operator.

fn sub(self, rhs: FF<p>) -> Self::Output

Performs the - operation.

impl<'a, 'b, const p: i32> Sub for FF<p>

type Output = FF<p>

The resulting type after applying the - operator.

fn sub(self, rhs: FF<p>) -> Self::Output

Performs the - operation.

impl<'a, 'b, const p: i32> SubAssign<&'b FF<p>> for FF<p>

fn sub_assign(&mut self, rhs: &'b FF<p>)

Performs the -= operation.

impl<'a, 'b, const p: i32> SubAssign for FF<p>

fn sub_assign(&mut self, rhs: FF<p>)

Performs the -= operation.

impl<const p: i32> Zero for FF<p>

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.

impl<const p: i32> AddGrp for FF<p>

impl<'a, const p: i32> AddGrpOps<FF<p>> for &'a FF<p>

impl<const p: i32> AddGrpOps for FF<p>

impl<'a, const p: i32> AddMonOps<FF<p>> for &'a FF<p>

impl<const p: i32> AddMonOps for FF<p>

impl<const p: i32> Copy for FF<p>

impl<const p: i32> Eq for FF<p>

impl<'a, const p: i32> EucRingOps<FF<p>> for &'a FF<p>

impl<const p: i32> EucRingOps for FF<p>

impl<const p: i32> Field for FF<p>

impl<'a, const p: i32> FieldOps<FF<p>> for &'a FF<p>

impl<const p: i32> FieldOps for FF<p>

impl<'a, const p: i32> MonOps<FF<p>> for &'a FF<p>

impl<const p: i32> MonOps for FF<p>

impl<'a, const p: i32> RingOps<FF<p>> for &'a FF<p>

impl<const p: i32> RingOps for FF<p>

impl<const p: i32> StructuralPartialEq for FF<p>