Type Alias Rational64

pub type Rational64 = Ratio<i64>;

Alias for a Ratio of 64-bit-sized integers.

Aliased Type

struct Rational64 { /* private fields */ }

Implementations

impl<T> Ratio<T>

where T: Clone + Integer,

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

Creates a new Ratio. Fails if denom is zero.

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

Creates a Ratio representing the integer t.

pub fn to_integer(&self) -> T

Converts to an integer, rounding towards zero.

pub fn is_integer(&self) -> bool

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

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

Returns a reduced copy of self.

In general, it is not necessary to use this method, as the only method of procuring a non-reduced fraction is through new_raw.

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

Returns the reciprocal.

Fails if the Ratio is zero.

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

Rounds towards minus infinity.

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

Rounds towards plus infinity.

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

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

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

Rounds towards zero.

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

Returns the fractional part of a number, with division rounded towards zero.

Satisfies self == self.trunc() + self.fract().

impl<T> Ratio<T>

where T: Integer + Signed + Bounded + NumCast + Clone,

pub fn approximate_float<F>(f: F) -> Option<Ratio<T>>

where F: FloatCore + NumCast,

impl<T> Ratio<T>

where T: Clone + Integer + Pow<u32, Output = T>,

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

Raises the Ratio to the power of an exponent.

impl<T> Ratio<T>

These method are const for Rust 1.31 and later.

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

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

pub const fn numer(&self) -> &T

Gets an immutable reference to the numerator.

pub const fn denom(&self) -> &T

Gets an immutable reference to the denominator.

Trait Implementations

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>

Performs the + operation.

impl<'a, T> Add<&'a T> for Ratio<T>

where T: Clone + Integer,

type Output = Ratio<T>

The resulting type after applying the + operator.

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

Performs the + operation.

impl<T> Add<T> for Ratio<T>

where T: Clone + Integer,

type Output = Ratio<T>

The resulting type after applying the + operator.

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

Performs the + operation.

impl<T> Add for Ratio<T>

where T: Clone + Integer,

type Output = Ratio<T>

The resulting type after applying the + operator.

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

Performs the + operation.

impl<'a, T> AddAssign<&'a Ratio<T>> for Ratio<T>

where T: Clone + Integer + NumAssign,

fn add_assign(&mut self, other: &Ratio<T>)

Performs the += operation.

impl<'a, T> AddAssign<&'a T> for Ratio<T>

where T: Clone + Integer + NumAssign,

fn add_assign(&mut self, other: &T)

Performs the += operation.

impl<T> AddAssign<T> for Ratio<T>

where T: Clone + Integer + NumAssign,

fn add_assign(&mut self, other: T)

Performs the += operation.

impl<T> AddAssign for Ratio<T>

where T: Clone + Integer + NumAssign,

fn add_assign(&mut self, other: Ratio<T>)

Performs the += operation.

impl<T> CheckedAdd for Ratio<T>

where T: Clone + Integer + CheckedMul + CheckedAdd,

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

Adds two numbers, checking for overflow. If overflow happens, None is returned.

impl<T> CheckedDiv for Ratio<T>

where T: Clone + Integer + CheckedMul,

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

Divides two numbers, checking for underflow, overflow and division by zero. If any of that happens, None is returned.

impl<T> CheckedMul for Ratio<T>

where T: Clone + Integer + CheckedMul,

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

Multiplies two numbers, checking for underflow or overflow. If underflow or overflow happens, None is returned.

impl<T> CheckedSub for Ratio<T>

where T: Clone + Integer + CheckedMul + CheckedSub,

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

Subtracts two numbers, checking for underflow. If underflow happens, None is returned.

impl<T> Clone for Ratio<T>

where T: Clone,

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> Debug for Ratio<T>

where T: Debug,

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

Formats the value using the given formatter.

impl<T> Display for Ratio<T>

where T: Display + Eq + One,

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

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

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>

Performs the / operation.

impl<'a, T> Div<&'a T> for Ratio<T>

where T: Clone + Integer,

type Output = Ratio<T>

The resulting type after applying the / operator.

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

Performs the / operation.

impl<T> Div<T> for Ratio<T>

where T: Clone + Integer,

type Output = Ratio<T>

The resulting type after applying the / operator.

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

Performs the / operation.

impl<T> Div for 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>

Performs the / operation.

impl<'a, T> DivAssign<&'a Ratio<T>> for Ratio<T>

where T: Clone + Integer + NumAssign,

fn div_assign(&mut self, other: &Ratio<T>)

Performs the /= operation.

impl<'a, T> DivAssign<&'a T> for Ratio<T>

where T: Clone + Integer + NumAssign,

fn div_assign(&mut self, other: &T)

Performs the /= operation.

impl<T> DivAssign<T> for Ratio<T>

where T: Clone + Integer + NumAssign,

fn div_assign(&mut self, other: T)

Performs the /= operation.

impl<T> DivAssign for Ratio<T>

where T: Clone + Integer + NumAssign,

fn div_assign(&mut self, other: Ratio<T>)

Performs the /= operation.

impl<T> From<(T, T)> for Ratio<T>

where T: Clone + Integer,

fn from(pair: (T, T)) -> Ratio<T>

Converts to this type from the input type.

impl<T> From<T> for Ratio<T>

where T: Clone + Integer,

fn from(x: T) -> Ratio<T>

Converts to this type from the input type.

impl FromPrimitive for Ratio<i64>

fn from_i64(n: i64) -> Option<Ratio<i64>>

Converts an i64 to return an optional value of this type. If the value cannot be represented by this type, then None is returned.

fn from_i128(n: i128) -> Option<Ratio<i64>>

Converts an i128 to return an optional value of this type. If the value cannot be represented by this type, then None is returned.

fn from_u64(n: u64) -> Option<Ratio<i64>>

Converts an u64 to return an optional value of this type. If the value cannot be represented by this type, then None is returned.

fn from_u128(n: u128) -> Option<Ratio<i64>>

Converts an u128 to return an optional value of this type. If the value cannot be represented by this type, then None is returned.

fn from_f32(n: f32) -> Option<Ratio<i64>>

Converts a f32 to return an optional value of this type. If the value cannot be represented by this type, then None is returned.

fn from_f64(n: f64) -> Option<Ratio<i64>>

Converts a f64 to return an optional value of this type. If the value cannot be represented by this type, then None is returned.

fn from_isize(n: isize) -> Option<Self>

Converts an isize to return an optional value of this type. If the value cannot be represented by this type, then None is returned.

fn from_i8(n: i8) -> Option<Self>

Converts an i8 to return an optional value of this type. If the value cannot be represented by this type, then None is returned.

fn from_i16(n: i16) -> Option<Self>

Converts an i16 to return an optional value of this type. If the value cannot be represented by this type, then None is returned.

fn from_i32(n: i32) -> Option<Self>

Converts an i32 to return an optional value of this type. If the value cannot be represented by this type, then None is returned.

fn from_usize(n: usize) -> Option<Self>

Converts a usize to return an optional value of this type. If the value cannot be represented by this type, then None is returned.

fn from_u8(n: u8) -> Option<Self>

Converts an u8 to return an optional value of this type. If the value cannot be represented by this type, then None is returned.

fn from_u16(n: u16) -> Option<Self>

Converts an u16 to return an optional value of this type. If the value cannot be represented by this type, then None is returned.

fn from_u32(n: u32) -> Option<Self>

Converts an u32 to return an optional value of this type. If the value cannot be represented by this type, then None is returned.

impl<T> FromStr for Ratio<T>

where T: FromStr + Clone + Integer,

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

Parses numer/denom or just numer.

type Err = ParseRatioError

The associated error which can be returned from parsing.

impl<T> Hash for Ratio<T>

where T: Clone + Integer + Hash,

fn hash<H>(&self, state: &mut H)

where H: Hasher,

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<T> Into<(T, T)> for Ratio<T>

fn into(self) -> (T, T)

Converts this type into the (usually inferred) input type.

impl<T> Inv for Ratio<T>

where T: Clone + Integer,

type Output = Ratio<T>

The result after applying the operator.

fn inv(self) -> Ratio<T>

Returns the multiplicative inverse of self.

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>

Performs the * operation.

impl<'a, T> Mul<&'a T> for Ratio<T>

where T: Clone + Integer,

type Output = Ratio<T>

The resulting type after applying the * operator.

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

Performs the * operation.

impl<T> Mul<T> for Ratio<T>

where T: Clone + Integer,

type Output = Ratio<T>

The resulting type after applying the * operator.

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

Performs the * operation.

impl<T> Mul for 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>

Performs the * operation.

impl<'a, T> MulAssign<&'a Ratio<T>> for Ratio<T>

where T: Clone + Integer + NumAssign,

fn mul_assign(&mut self, other: &Ratio<T>)

Performs the *= operation.

impl<'a, T> MulAssign<&'a T> for Ratio<T>

where T: Clone + Integer + NumAssign,

fn mul_assign(&mut self, other: &T)

Performs the *= operation.

impl<T> MulAssign<T> for Ratio<T>

where T: Clone + Integer + NumAssign,

fn mul_assign(&mut self, other: T)

Performs the *= operation.

impl<T> MulAssign for Ratio<T>

where T: Clone + Integer + NumAssign,

fn mul_assign(&mut self, other: Ratio<T>)

Performs the *= operation.

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>

Performs the unary - operation.

impl<T> Num for Ratio<T>

where T: Clone + Integer,

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

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

type FromStrRadixErr = ParseRatioError

impl<T> One for Ratio<T>

where T: Clone + Integer,

fn one() -> Ratio<T>

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<T> Ord for Ratio<T>

where T: Clone + Integer,

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

impl<T> PartialEq for Ratio<T>

where T: Clone + Integer,

fn eq(&self, other: &Ratio<T>) -> 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<T> PartialOrd for Ratio<T>

where T: Clone + Integer,

fn partial_cmp(&self, other: &Ratio<T>) -> 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<'a, T> Pow<&'a i16> for Ratio<T>

where T: Clone + Integer + Pow<u16, Output = T>,

type Output = Ratio<T>

The result after applying the operator.

fn pow(self, expon: &'a i16) -> Ratio<T>

Returns self to the power rhs.

impl<'a, T> Pow<&'a i32> for Ratio<T>

where T: Clone + Integer + Pow<u32, Output = T>,

type Output = Ratio<T>

The result after applying the operator.

fn pow(self, expon: &'a i32) -> Ratio<T>

Returns self to the power rhs.

impl<'a, T> Pow<&'a i64> for Ratio<T>

where T: Clone + Integer + Pow<u64, Output = T>,

type Output = Ratio<T>

The result after applying the operator.

fn pow(self, expon: &'a i64) -> Ratio<T>

Returns self to the power rhs.

impl<'a, T> Pow<&'a i8> for Ratio<T>

where T: Clone + Integer + Pow<u8, Output = T>,

type Output = Ratio<T>

The result after applying the operator.

fn pow(self, expon: &'a i8) -> Ratio<T>

Returns self to the power rhs.

impl<'a, T> Pow<&'a isize> for Ratio<T>

where T: Clone + Integer + Pow<usize, Output = T>,

type Output = Ratio<T>

The result after applying the operator.

fn pow(self, expon: &'a isize) -> Ratio<T>

Returns self to the power rhs.

impl<'a, T> Pow<&'a u16> for Ratio<T>

where T: Clone + Integer + Pow<u16, Output = T>,

type Output = Ratio<T>

The result after applying the operator.

fn pow(self, expon: &'a u16) -> Ratio<T>

Returns self to the power rhs.

impl<'a, T> Pow<&'a u32> for Ratio<T>

where T: Clone + Integer + Pow<u32, Output = T>,

type Output = Ratio<T>

The result after applying the operator.

fn pow(self, expon: &'a u32) -> Ratio<T>

Returns self to the power rhs.

impl<'a, T> Pow<&'a u64> for Ratio<T>

where T: Clone + Integer + Pow<u64, Output = T>,

type Output = Ratio<T>

The result after applying the operator.

fn pow(self, expon: &'a u64) -> Ratio<T>

Returns self to the power rhs.

impl<'a, T> Pow<&'a u8> for Ratio<T>

where T: Clone + Integer + Pow<u8, Output = T>,

type Output = Ratio<T>

The result after applying the operator.

fn pow(self, expon: &'a u8) -> Ratio<T>

Returns self to the power rhs.

impl<'a, T> Pow<&'a usize> for Ratio<T>

where T: Clone + Integer + Pow<usize, Output = T>,

type Output = Ratio<T>

The result after applying the operator.

fn pow(self, expon: &'a usize) -> Ratio<T>

Returns self to the power rhs.

impl<T> Pow<i16> for Ratio<T>

where T: Clone + Integer + Pow<u16, Output = T>,

type Output = Ratio<T>

The result after applying the operator.

fn pow(self, expon: i16) -> Ratio<T>

Returns self to the power rhs.

impl<T> Pow<i32> for Ratio<T>

where T: Clone + Integer + Pow<u32, Output = T>,

type Output = Ratio<T>

The result after applying the operator.

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

Returns self to the power rhs.

impl<T> Pow<i64> for Ratio<T>

where T: Clone + Integer + Pow<u64, Output = T>,

type Output = Ratio<T>

The result after applying the operator.

fn pow(self, expon: i64) -> Ratio<T>

Returns self to the power rhs.

impl<T> Pow<i8> for Ratio<T>

where T: Clone + Integer + Pow<u8, Output = T>,

type Output = Ratio<T>

The result after applying the operator.

fn pow(self, expon: i8) -> Ratio<T>

Returns self to the power rhs.

impl<T> Pow<isize> for Ratio<T>

where T: Clone + Integer + Pow<usize, Output = T>,

type Output = Ratio<T>

The result after applying the operator.

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

Returns self to the power rhs.

impl<T> Pow<u16> for Ratio<T>

where T: Clone + Integer + Pow<u16, Output = T>,

type Output = Ratio<T>

The result after applying the operator.

fn pow(self, expon: u16) -> Ratio<T>

Returns self to the power rhs.

impl<T> Pow<u32> for Ratio<T>

where T: Clone + Integer + Pow<u32, Output = T>,

type Output = Ratio<T>

The result after applying the operator.

fn pow(self, expon: u32) -> Ratio<T>

Returns self to the power rhs.

impl<T> Pow<u64> for Ratio<T>

where T: Clone + Integer + Pow<u64, Output = T>,

type Output = Ratio<T>

The result after applying the operator.

fn pow(self, expon: u64) -> Ratio<T>

Returns self to the power rhs.

impl<T> Pow<u8> for Ratio<T>

where T: Clone + Integer + Pow<u8, Output = T>,

type Output = Ratio<T>

The result after applying the operator.

fn pow(self, expon: u8) -> Ratio<T>

Returns self to the power rhs.

impl<T> Pow<usize> for Ratio<T>

where T: Clone + Integer + Pow<usize, Output = T>,

type Output = Ratio<T>

The result after applying the operator.

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

Returns self to the power rhs.

impl<'a, T> Product<&'a Ratio<T>> for Ratio<T>

where T: Integer + Clone,

fn product<I>(iter: I) -> Ratio<T>

where I: Iterator<Item = &'a Ratio<T>>,

Takes an iterator and generates Self from the elements by multiplying the items.

impl<T> Product for Ratio<T>

where T: Integer + Clone,

fn product<I>(iter: I) -> Ratio<T>

where I: Iterator<Item = Ratio<T>>,

Takes an iterator and generates Self from the elements by multiplying the items.

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>

Performs the % operation.

impl<'a, T> Rem<&'a T> for Ratio<T>

where T: Clone + Integer,

type Output = Ratio<T>

The resulting type after applying the % operator.

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

Performs the % operation.

impl<T> Rem<T> for Ratio<T>

where T: Clone + Integer,

type Output = Ratio<T>

The resulting type after applying the % operator.

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

Performs the % operation.

impl<T> Rem for Ratio<T>

where T: Clone + Integer,

type Output = Ratio<T>

The resulting type after applying the % operator.

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

Performs the % operation.

impl<'a, T> RemAssign<&'a Ratio<T>> for Ratio<T>

where T: Clone + Integer + NumAssign,

fn rem_assign(&mut self, other: &Ratio<T>)

Performs the %= operation.

impl<'a, T> RemAssign<&'a T> for Ratio<T>

where T: Clone + Integer + NumAssign,

fn rem_assign(&mut self, other: &T)

Performs the %= operation.

impl<T> RemAssign<T> for Ratio<T>

where T: Clone + Integer + NumAssign,

fn rem_assign(&mut self, other: T)

Performs the %= operation.

impl<T> RemAssign for Ratio<T>

where T: Clone + Integer + NumAssign,

fn rem_assign(&mut self, other: Ratio<T>)

Performs the %= operation.

impl<T> Signed for Ratio<T>

where T: Clone + Integer + Signed,

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<'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>

Performs the - operation.

impl<'a, T> Sub<&'a T> for Ratio<T>

where T: Clone + Integer,

type Output = Ratio<T>

The resulting type after applying the - operator.

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

Performs the - operation.

impl<T> Sub<T> for Ratio<T>

where T: Clone + Integer,

type Output = Ratio<T>

The resulting type after applying the - operator.

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

Performs the - operation.

impl<T> Sub for Ratio<T>

where T: Clone + Integer,

type Output = Ratio<T>

The resulting type after applying the - operator.

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

Performs the - operation.

impl<'a, T> SubAssign<&'a Ratio<T>> for Ratio<T>

where T: Clone + Integer + NumAssign,

fn sub_assign(&mut self, other: &Ratio<T>)

Performs the -= operation.

impl<'a, T> SubAssign<&'a T> for Ratio<T>

where T: Clone + Integer + NumAssign,

fn sub_assign(&mut self, other: &T)

Performs the -= operation.

impl<T> SubAssign<T> for Ratio<T>

where T: Clone + Integer + NumAssign,

fn sub_assign(&mut self, other: T)

Performs the -= operation.

impl<T> SubAssign for Ratio<T>

where T: Clone + Integer + NumAssign,

fn sub_assign(&mut self, other: Ratio<T>)

Performs the -= operation.

impl<'a, T> Sum<&'a Ratio<T>> for Ratio<T>

where T: Integer + Clone,

fn sum<I>(iter: I) -> Ratio<T>

where I: Iterator<Item = &'a Ratio<T>>,

Takes an iterator and generates Self from the elements by “summing up” the items.

impl<T> Sum for Ratio<T>

where T: Integer + Clone,

fn sum<I>(iter: I) -> Ratio<T>

where I: Iterator<Item = Ratio<T>>,

Takes an iterator and generates Self from the elements by “summing up” the items.

impl<T> Zero for Ratio<T>

where T: Clone + Integer,

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.

fn set_zero(&mut self)

Sets self to the additive identity element of Self, 0.

impl<T> Copy for Ratio<T>

where T: Copy,

impl<T> Eq for Ratio<T>

where T: Clone + Integer,