Enum Rational 

pub enum Rational {
    NegativeInf,
    Finite(Rational),
    PositiveInf,
}

An extended rational number with positive and negative infinity.

Operations that are mathematically undefined, such as $0 / 0$ or $+\infty + -\infty$, panic.

Variants

NegativeInf

Negative infinity.

Finite(Rational)

A finite exact rational value.

PositiveInf

Positive infinity.

Implementations

impl Rational

pub fn zero() -> Self

Creates the zero rational value.

pub fn is_finite(&self) -> bool

Returns true when the value is finite.

pub fn is_positive(&self) -> bool

Returns true when the value is strictly positive.

pub fn is_negative(&self) -> bool

Returns true when the value is strictly negative.

pub fn is_integer(&self) -> bool

Returns true when the value is an integer.

pub fn is_zero(&self) -> bool

Returns true when the value is equal to zero.

Trait Implementations

impl Add for Rational

type Output = Rational

The resulting type after applying the + operator.

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

fn add_assign(&mut self, rhs: Self)

Performs the += operation.

impl AddAssign<&Rational> for Rational

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

Performs the += operation.

impl Clone for Rational

fn clone(&self) -> Self

Returns a duplicate of the value.

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

Performs copy-assignment from source.

impl Debug for Rational

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

Formats the value using the given formatter.

impl Default for Rational

fn default() -> Self

Returns the “default value” for a type.

impl Display for Rational

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

Formats the value using the given formatter.

impl Div for Rational

type Output = Rational

The resulting type after applying the / operator.

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

fn div_assign(&mut self, rhs: Self)

Performs the /= operation.

impl DivAssign<&Rational> for Rational

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

Performs the /= operation.

impl Eq for Rational

impl From<(i32, i32)> for Rational

fn from((n, d): (i32, i32)) -> Self

Converts to this type from the input type.

impl From<Rational> for InfRational

fn from(r: Rational) -> Self

Converts to this type from the input type.

impl From<i32> for Rational

fn from(n: i32) -> Self

Converts to this type from the input type.

impl Hash for Rational

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 Mul for Rational

type Output = Rational

The resulting type after applying the * operator.

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

fn mul_assign(&mut self, rhs: Self)

Performs the *= operation.

impl MulAssign<&Rational> for Rational

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

Performs the *= operation.

impl Neg for Rational

type Output = Rational

The resulting type after applying the - operator.

fn neg(self) -> Self::Output

Performs the unary - operation.

impl Neg for &Rational

type Output = Rational

The resulting type after applying the - operator.

fn neg(self) -> Self::Output

Performs the unary - operation.

impl Ord for Rational

fn cmp(&self, other: &Self) -> 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.

fn clamp_to<R>(self, range: R) -> Self

where Self: Sized, R: ClampBounds<Self>,

🔬This is a nightly-only experimental API. (clamp_to)

Restrict a value to a certain range.

impl PartialEq for Rational

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

Equality operator ==.

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

Inequality operator !=.

impl PartialOrd for Rational

fn partial_cmp(&self, other: &Self) -> 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 StructuralPartialEq for Rational

impl Sub for Rational

type Output = Rational

The resulting type after applying the - operator.

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

fn sub_assign(&mut self, rhs: Self)

Performs the -= operation.

impl SubAssign<&Rational> for Rational

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

Performs the -= operation.