Struct rug_maths::Rational

pub struct Rational {
    pub val: Rational,
}

Fields

val: Rational

Trait Implementations

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

type Output = Rational

The resulting type after applying the + operator.

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

Performs the + operation.

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

type Output = Rational

The resulting type after applying the + operator.

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

Performs the + operation.

impl<B> Add<B> for Rational where
    Rational: Add<B, Output = Rational>, 

type Output = Rational

The resulting type after applying the + operator.

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

Performs the + operation.

impl<'a, B> Add<B> for &'a Rational where
    Rational: Add<B, Output = Rational>, 

type Output = Rational

The resulting type after applying the + operator.

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

Performs the + operation.

impl Add<Rational> for Rational

type Output = Rational

The resulting type after applying the + operator.

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

Performs the + operation.

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

type Output = Rational

The resulting type after applying the + operator.

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

Performs the + operation.

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

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

Performs the += operation.

impl<B> AddAssign<B> for Rational where
    Rational: AddAssign<B>, 

fn add_assign(&mut self, rhs: B)

Performs the += operation.

impl AddAssign<Rational> for Rational

fn add_assign(&mut self, rhs: Self)

Performs the += operation.

impl AddAssociative for Rational

impl AddCommutative for Rational

impl AddOrdered for Rational

impl ArchimedeanProperty for Rational

impl Clone for Rational

fn clone(&self) -> Rational

Returns a copy of the value.

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

Performs copy-assignment from source.

impl ComplexSubset for Rational

type Real = Float

type Natural = Integer

type Integer = Integer

fn as_real(self) -> Self::Real

Converts self to a real number, discarding any imaginary component, if complex.

fn as_natural(self) -> Self::Natural

Converts self to a natural number, truncating when necessary.

fn as_integer(self) -> Self::Integer

Converts self to an integer, truncating when necessary.

fn floor(self) -> Self

Rounds the real and imaginary components of self to the closest integer downward

fn ceil(self) -> Self

Rounds the real and imaginary components of self to the closest integer upward

fn round(self) -> Self

Rounds the real and imaginary components of self to the closest integer

fn trunc(self) -> Self

Rounds the real and imaginary components of self by removing the factional parts

fn fract(self) -> Self

Removes the integral parts of the real and imaginary components of self

fn im(self) -> Self

Sets the real component of self to 0

fn re(self) -> Self

Sets the imaginary component of self to 0

fn conj(self) -> Self

The complex conjugate of self

pub fn modulus_sqrd(self) -> Self

The square of the complex absolute value of self

pub fn modulus(self) -> Self::Real

The complex absolute value of self

impl Debug for Rational

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

Formats the value using the given formatter.

impl Display for Rational

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

Formats the value using the given formatter.

impl Distributive<Rational> for Rational

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

type Output = Rational

The resulting type after applying the / operator.

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

Performs the / operation.

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

type Output = Rational

The resulting type after applying the / operator.

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

Performs the / operation.

impl<B> Div<B> for Rational where
    Rational: Div<B, Output = Rational>, 

type Output = Rational

The resulting type after applying the / operator.

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

Performs the / operation.

impl<'a, B> Div<B> for &'a Rational where
    Rational: Div<B, Output = Rational>, 

type Output = Rational

The resulting type after applying the / operator.

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

Performs the / operation.

impl Div<Rational> for Rational

type Output = Rational

The resulting type after applying the / operator.

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

Performs the / operation.

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

type Output = Rational

The resulting type after applying the / operator.

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

Performs the / operation.

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

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

Performs the /= operation.

impl<B> DivAssign<B> for Rational where
    Rational: DivAssign<B>, 

fn div_assign(&mut self, rhs: B)

Performs the /= operation.

impl DivAssign<Rational> for Rational

fn div_assign(&mut self, rhs: Self)

Performs the /= operation.

impl Divisibility for Rational

fn divides(self, rhs: Self) -> bool

Determines if there exists an element x such that self*x = rhs

fn divide(self, rhs: Self) -> Option<Self>

Finds an element x such that self*x = rhs if such an element exists

fn unit(&self) -> bool

Determines if this element has a multiplicative inverse

fn inverse(self) -> Option<Self>

Finds this element's multiplicative inverse if it exists

impl Eq for Rational

impl<T> From<T> for Rational where
    Rational: From<T>, 

fn from(src: T) -> Self

Performs the conversion.

impl Inv for Rational

type Output = Rational

The result after applying the operator.

fn inv(self) -> Self::Output

Returns the multiplicative inverse of self.

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

type Output = Rational

The resulting type after applying the * operator.

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

Performs the * operation.

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

type Output = Rational

The resulting type after applying the * operator.

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

Performs the * operation.

impl<B> Mul<B> for Rational where
    Rational: Mul<B, Output = Rational>, 

type Output = Rational

The resulting type after applying the * operator.

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

Performs the * operation.

impl<'a, B> Mul<B> for &'a Rational where
    Rational: Mul<B, Output = Rational>, 

type Output = Rational

The resulting type after applying the * operator.

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

Performs the * operation.

impl Mul<Rational> for Rational

type Output = Rational

The resulting type after applying the * operator.

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

Performs the * operation.

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

type Output = Rational

The resulting type after applying the * operator.

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

Performs the * operation.

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

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

Performs the *= operation.

impl<B> MulAssign<B> for Rational where
    Rational: MulAssign<B>, 

fn mul_assign(&mut self, rhs: B)

Performs the *= operation.

impl MulAssign<Rational> for Rational

fn mul_assign(&mut self, rhs: Self)

Performs the *= operation.

impl MulAssociative for Rational

impl MulCommutative for Rational

impl MulOrdered for Rational

impl Neg for Rational

type Output = Rational

The resulting type after applying the - operator.

fn neg(self) -> Self::Output

Performs the unary - operation.

impl NoZeroDivisors for Rational

impl One for Rational

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 Ord for Rational

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

This method returns an Ordering between self and other.

#[must_use]pub fn max(self, other: Self) -> Self

Compares and returns the maximum of two values.

#[must_use]pub fn min(self, other: Self) -> Self

Compares and returns the minimum of two values.

#[must_use]pub fn clamp(self, min: Self, max: Self) -> Self

Restrict a value to a certain interval.

impl PartialEq<Rational> for Rational

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

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

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

This method tests for !=.

impl PartialOrd<Rational> for Rational

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

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

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

This method tests less than (for self and other) and is used by the < operator.

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

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

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

This method tests greater than (for self and other) and is used by the > operator.

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

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

impl Sign for Rational

fn signum(self) -> Self

Returns 1 if positive, -1 if negative, or itself (ie. 0 or NaN) if neither

fn abs(self) -> Self

Returns this element's negative if less than 0 or itself otherwise

impl StructuralEq for Rational

impl StructuralPartialEq for Rational

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

type Output = Rational

The resulting type after applying the - operator.

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

Performs the - operation.

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

type Output = Rational

The resulting type after applying the - operator.

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

Performs the - operation.

impl<B> Sub<B> for Rational where
    Rational: Sub<B, Output = Rational>, 

type Output = Rational

The resulting type after applying the - operator.

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

Performs the - operation.

impl<'a, B> Sub<B> for &'a Rational where
    Rational: Sub<B, Output = Rational>, 

type Output = Rational

The resulting type after applying the - operator.

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

Performs the - operation.

impl Sub<Rational> for Rational

type Output = Rational

The resulting type after applying the - operator.

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

Performs the - operation.

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

type Output = Rational

The resulting type after applying the - operator.

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

Performs the - operation.

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

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

Performs the -= operation.

impl<B> SubAssign<B> for Rational where
    Rational: SubAssign<B>, 

fn sub_assign(&mut self, rhs: B)

Performs the -= operation.

impl SubAssign<Rational> for Rational

fn sub_assign(&mut self, rhs: Self)

Performs the -= operation.

impl UniquelyFactorizable for Rational

impl Zero for Rational

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.