Struct num_rational::Ratio

pub struct Ratio<T> { /* fields omitted */ }

Represents the ratio between 2 numbers.

Methods

impl<T: Clone + Integer> Ratio<T>

fn from_integer(t: T) -> Ratio<T>

Creates a ratio representing the integer t.

fn new_raw(numer: T, denom: T) -> Ratio<T>

Creates a ratio without checking for denom == 0 or reducing.

fn new(numer: T, denom: T) -> Ratio<T>

Create a new Ratio. Fails if denom == 0.

fn to_integer(&self) -> T

Converts to an integer.

fn numer<'a>(&'a self) -> &'a T

Gets an immutable reference to the numerator.

fn denom<'a>(&'a self) -> &'a T

Gets an immutable reference to the denominator.

fn is_integer(&self) -> bool

Returns true if the rational number is an integer (denominator is 1).

fn reduced(&self) -> Ratio<T>

Returns a reduced copy of self.

fn recip(&self) -> Ratio<T>

Returns the reciprocal.

fn floor(&self) -> Ratio<T>

Rounds towards minus infinity.

fn ceil(&self) -> Ratio<T>

Rounds towards plus infinity.

fn round(&self) -> Ratio<T>

Rounds to the nearest integer. Rounds half-way cases away from zero.

fn trunc(&self) -> Ratio<T>

Rounds towards zero.

fn fract(&self) -> Ratio<T>

Returns the fractional part of a number.

impl<T: Clone + Integer + PrimInt> Ratio<T>

fn pow(&self, expon: i32) -> Ratio<T>

Raises the ratio to the power of an exponent

impl Ratio<BigInt>

fn from_float<T: Float>(f: T) -> Option<BigRational>

Converts a float into a rational number.

Trait Implementations

impl<T: Encodable> Encodable for Ratio<T>

fn encode<__ST: Encoder>(&self, __arg_0: &mut __ST) -> Result<(), __ST::Error>

impl<T: Decodable> Decodable for Ratio<T>

fn decode<__DT: Decoder>(__arg_0: &mut __DT) -> Result<Ratio<T>, __DT::Error>

impl<T: Copy> Copy for Ratio<T>

impl<T: Clone> Clone for Ratio<T>

fn clone(&self) -> Ratio<T>

Returns a copy of the value.

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

Performs copy-assignment from source.

impl<T: Hash> Hash for Ratio<T>

fn hash<__HT: Hasher>(&self, __arg_0: &mut __HT)

Feeds this value into the state given, updating the hasher as necessary.

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

Feeds a slice of this type into the state provided.

impl<T: Debug> Debug for Ratio<T>

fn fmt(&self, __arg_0: &mut Formatter) -> Result

Formats the value using the given formatter.

impl<T: Clone + Integer> Ord for Ratio<T>

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

This method returns an Ordering between self and other.

impl<T: Clone + Integer> PartialOrd for Ratio<T>

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

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

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

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

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

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

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

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

impl<T: Clone + Integer> PartialEq for Ratio<T>

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

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

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

This method tests for !=.

impl<T: Clone + Integer> Eq for Ratio<T>

impl<T: Clone + Integer> Mul<Ratio<T>> for Ratio<T>

type Output = Ratio<T>

The resulting type after applying the * operator

fn mul(self, other: Ratio<T>) -> Ratio<T>

The method for the * operator

impl<'a, T> Mul<Ratio<T>> for &'a Ratio<T> where T: Clone + Integer

type Output = Ratio<T>

The resulting type after applying the * operator

fn mul(self, other: Ratio<T>) -> Ratio<T>

The method for the * operator

impl<'a, T> Mul<&'a Ratio<T>> for Ratio<T> where T: Clone + Integer

type Output = Ratio<T>

The resulting type after applying the * operator

fn mul(self, other: &Ratio<T>) -> Ratio<T>

The method for the * operator

impl<'a, 'b, T> Mul<&'b Ratio<T>> for &'a Ratio<T> where T: Clone + Integer

type Output = Ratio<T>

The resulting type after applying the * operator

fn mul(self, rhs: &Ratio<T>) -> Ratio<T>

The method for the * operator

impl<T: Clone + Integer> Div<Ratio<T>> for Ratio<T>

type Output = Ratio<T>

The resulting type after applying the / operator

fn div(self, other: Ratio<T>) -> Ratio<T>

The method for the / operator

impl<'a, T> Div<Ratio<T>> for &'a Ratio<T> where T: Clone + Integer

type Output = Ratio<T>

The resulting type after applying the / operator

fn div(self, other: Ratio<T>) -> Ratio<T>

The method for the / operator

impl<'a, T> Div<&'a Ratio<T>> for Ratio<T> where T: Clone + Integer

type Output = Ratio<T>

The resulting type after applying the / operator

fn div(self, other: &Ratio<T>) -> Ratio<T>

The method for the / operator

impl<'a, 'b, T> Div<&'b Ratio<T>> for &'a Ratio<T> where T: Clone + Integer

type Output = Ratio<T>

The resulting type after applying the / operator

fn div(self, rhs: &Ratio<T>) -> Ratio<T>

The method for the / operator

impl<T: Clone + Integer> Add<Ratio<T>> for Ratio<T>

type Output = Ratio<T>

The resulting type after applying the + operator

fn add(self, other: Ratio<T>) -> Ratio<T>

The method for the + operator

impl<'a, T> Add<Ratio<T>> for &'a Ratio<T> where T: Clone + Integer

type Output = Ratio<T>

The resulting type after applying the + operator

fn add(self, other: Ratio<T>) -> Ratio<T>

The method for the + operator

impl<'a, T> Add<&'a Ratio<T>> for Ratio<T> where T: Clone + Integer

type Output = Ratio<T>

The resulting type after applying the + operator

fn add(self, other: &Ratio<T>) -> Ratio<T>

The method for the + operator

impl<'a, 'b, T: Clone + Integer> Add<&'b Ratio<T>> for &'a Ratio<T>

type Output = Ratio<T>

The resulting type after applying the + operator

fn add(self, rhs: &Ratio<T>) -> Ratio<T>

The method for the + operator

impl<T: Clone + Integer> Sub<Ratio<T>> for Ratio<T>

type Output = Ratio<T>

The resulting type after applying the - operator

fn sub(self, other: Ratio<T>) -> Ratio<T>

The method for the - operator

impl<'a, T> Sub<Ratio<T>> for &'a Ratio<T> where T: Clone + Integer

type Output = Ratio<T>

The resulting type after applying the - operator

fn sub(self, other: Ratio<T>) -> Ratio<T>

The method for the - operator

impl<'a, T> Sub<&'a Ratio<T>> for Ratio<T> where T: Clone + Integer

type Output = Ratio<T>

The resulting type after applying the - operator

fn sub(self, other: &Ratio<T>) -> Ratio<T>

The method for the - operator

impl<'a, 'b, T: Clone + Integer> Sub<&'b Ratio<T>> for &'a Ratio<T>

type Output = Ratio<T>

The resulting type after applying the - operator

fn sub(self, rhs: &Ratio<T>) -> Ratio<T>

The method for the - operator

impl<T: Clone + Integer> Rem<Ratio<T>> for Ratio<T>

type Output = Ratio<T>

The resulting type after applying the % operator

fn rem(self, other: Ratio<T>) -> Ratio<T>

The method for the % operator

impl<'a, T> Rem<Ratio<T>> for &'a Ratio<T> where T: Clone + Integer

type Output = Ratio<T>

The resulting type after applying the % operator

fn rem(self, other: Ratio<T>) -> Ratio<T>

The method for the % operator

impl<'a, T> Rem<&'a Ratio<T>> for Ratio<T> where T: Clone + Integer

type Output = Ratio<T>

The resulting type after applying the % operator

fn rem(self, other: &Ratio<T>) -> Ratio<T>

The method for the % operator

impl<'a, 'b, T: Clone + Integer> Rem<&'b Ratio<T>> for &'a Ratio<T>

type Output = Ratio<T>

The resulting type after applying the % operator

fn rem(self, rhs: &Ratio<T>) -> Ratio<T>

The method for the % operator

impl<T> Neg for Ratio<T> where T: Clone + Integer + Neg<Output=T>

type Output = Ratio<T>

The resulting type after applying the - operator

fn neg(self) -> Ratio<T>

The method for the unary - operator

impl<'a, T> Neg for &'a Ratio<T> where T: Clone + Integer + Neg<Output=T>

type Output = Ratio<T>

The resulting type after applying the - operator

fn neg(self) -> Ratio<T>

The method for the unary - operator

impl<T: Clone + Integer> Zero for Ratio<T>

fn zero() -> Ratio<T>

Returns the additive identity element of Self, 0.

fn is_zero(&self) -> bool

Returns true if self is equal to the additive identity.

impl<T: Clone + Integer> One for Ratio<T>

fn one() -> Ratio<T>

Returns the multiplicative identity element of Self, 1.

impl<T: Clone + Integer> Num for Ratio<T>

type FromStrRadixErr = ParseRatioError

fn from_str_radix(s: &str, radix: u32) -> Result<Ratio<T>, ParseRatioError>

Parses numer/denom where the numbers are in base radix.

impl<T: Clone + Integer + Signed> Signed for Ratio<T>

fn abs(&self) -> Ratio<T>

Computes the absolute value.

fn abs_sub(&self, other: &Ratio<T>) -> Ratio<T>

The positive difference of two numbers.

fn signum(&self) -> Ratio<T>

Returns the sign of the number.

fn is_positive(&self) -> bool

Returns true if the number is positive and false if the number is zero or negative.

fn is_negative(&self) -> bool

Returns true if the number is negative and false if the number is zero or positive.

impl<T> Display for Ratio<T> where T: Display + Eq + One

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

Renders as numer/denom. If denom=1, renders as numer.

impl<T: FromStr + Clone + Integer> FromStr for Ratio<T>

type Err = ParseRatioError

The associated error which can be returned from parsing.

fn from_str(s: &str) -> Result<Ratio<T>, ParseRatioError>

Parses numer/denom or just numer.