Ratio

Struct Ratio

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

Expand description

Represents the ratio between two numbers.

Implementations§

impl<T> Ratio<T>

These method are const.

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

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

There are several methods that will panic if used on a Ratio with denom == 0.

pub fn into_raw(self) -> (T, T)

Deconstructs a Ratio into its numerator and denominator.

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.

impl<T> Ratio<T>
where T: Clone + Integer,

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

Creates a new Ratio.

Panics 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.

Panics if denom is zero.

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

Returns the reciprocal.

Panics 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().

pub fn pow(&self, expon: i32) -> Ratio<T>
where &'a T: for<'a> Pow<u32, Output = T>,

Raises the Ratio to the power of an exponent.

impl Ratio<BigInt>

pub fn from_float<T>(f: T) -> Option<Ratio<BigInt>>
where T: FloatCore,

Converts a float into a rational number.

impl<T> Ratio<T>
where T: ConstZero + ConstOne,

pub const ZERO: Ratio<T>

A constant Ratio 0/1.

impl<T> Ratio<T>
where T: ConstOne,

pub const ONE: Ratio<T>

A constant Ratio 1/1.

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: Integer + Unsigned + Bounded + NumCast + Clone,

pub fn approximate_float_unsigned<F>(f: F) -> Option<Ratio<T>>
where F: FloatCore + NumCast,

Trait Implementations§

impl<'a, 'b, T> Add<&'b 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: &'b Ratio<T>) -> Ratio<T>

Performs the + operation. Read more

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. Read more

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

type Output = Ratio<T>

The resulting type after applying the + operator.

fn add(self, other: &'b T) -> Ratio<T>

Performs the + operation. Read more

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. Read more

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>

Performs the + operation. Read more

impl<'a, T> Add<T> for &'a 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. Read more

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. Read more

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. Read more

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. Read more

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

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

Performs the += operation. Read more

impl<T> AddAssign<T> for Ratio<T>
where T: Clone + Integer + NumAssign,

fn add_assign(&mut self, other: T)

Performs the += operation. Read more

impl<T> AddAssign for Ratio<T>
where T: Clone + Integer + NumAssign,

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

Performs the += operation. Read more

impl<T> Binary for Ratio<T>
where T: Binary + Clone + Integer,

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

Formats the value using the given formatter. Read more

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 duplicate of the value. Read more

1.0.0 · Source§

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

Performs copy-assignment from source. Read more

impl<T> ConstOne for Ratio<T>
where T: Clone + Integer + ConstOne,

const ONE: Ratio<T> = Self::ONE

The multiplicative identity element of Self, 1.

impl<T> ConstZero for Ratio<T>
where T: Clone + Integer + ConstZero + ConstOne,

const ZERO: Ratio<T> = Self::ZERO

The additive identity element of Self, 0.

impl ConversionFactor<usize> for Ratio<usize>

fn powi(self, e: i32) -> Ratio<usize>

Raises a ConversionFactor<V> to an integer power.

fn value(self) -> usize

Converts a ConversionFactor<V> into its underlying storage type.

impl<T> Debug for Ratio<T>
where T: Debug,

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

Formats the value using the given formatter. Read more

impl<T> Default for Ratio<T>
where T: Clone + Integer,

fn default() -> Ratio<T>

Returns zero

impl<'de, T> Deserialize<'de> for Ratio<T>
where T: Deserialize<'de> + Clone + Integer + PartialOrd,

Available on crate feature serde only.

fn deserialize<D>( deserializer: D, ) -> Result<Ratio<T>, <D as Deserializer<'de>>::Error>
where D: Deserializer<'de>,

Deserialize this value from the given Serde deserializer. Read more

impl<T> Display for Ratio<T>
where T: Display + Clone + Integer,

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

Formats the value using the given formatter. Read more

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, other: &'b Ratio<T>) -> Ratio<T>

Performs the / operation. Read more

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. Read more

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

type Output = Ratio<T>

The resulting type after applying the / operator.

fn div(self, other: &'b T) -> Ratio<T>

Performs the / operation. Read more

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. Read more

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>

Performs the / operation. Read more

impl<'a, T> Div<T> for &'a 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. Read more

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. Read more

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. Read more

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. Read more

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

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

Performs the /= operation. Read more

impl<T> DivAssign<T> for Ratio<T>
where T: Clone + Integer + NumAssign,

fn div_assign(&mut self, other: T)

Performs the /= operation. Read more

impl<T> DivAssign for Ratio<T>
where T: Clone + Integer + NumAssign,

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

Performs the /= operation. Read more

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

fn from(val: Ratio<T>) -> (T, 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<BigInt>

Available on crate feature num-bigint only.

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

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<BigInt>>

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

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

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<BigInt>>

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

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

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<BigInt>>

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

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 FromPrimitive for Ratio<i128>

fn from_i64(n: i64) -> Option<Ratio<i128>>

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<i128>>

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

fn from_u64(n: u64) -> Option<Ratio<i128>>

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<i128>>

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

fn from_f32(n: f32) -> Option<Ratio<i128>>

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<i128>>

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

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 FromPrimitive for Ratio<i16>

fn from_i64(n: i64) -> Option<Ratio<i16>>

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<i16>>

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

fn from_u64(n: u64) -> Option<Ratio<i16>>

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<i16>>

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

fn from_f32(n: f32) -> Option<Ratio<i16>>

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<i16>>

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

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 FromPrimitive for Ratio<i32>

fn from_i64(n: i64) -> Option<Ratio<i32>>

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<i32>>

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

fn from_u64(n: u64) -> Option<Ratio<i32>>

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<i32>>

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

fn from_f32(n: f32) -> Option<Ratio<i32>>

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<i32>>

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

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 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. Read more

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. Read more

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. Read more

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 FromPrimitive for Ratio<i8>

fn from_i64(n: i64) -> Option<Ratio<i8>>

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<i8>>

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

fn from_u64(n: u64) -> Option<Ratio<i8>>

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<i8>>

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

fn from_f32(n: f32) -> Option<Ratio<i8>>

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<i8>>

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

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 FromPrimitive for Ratio<isize>

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

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<isize>>

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

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

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<isize>>

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

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

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<isize>>

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

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 FromPrimitive for Ratio<u128>

fn from_i64(n: i64) -> Option<Ratio<u128>>

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<u128>>

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

fn from_u64(n: u64) -> Option<Ratio<u128>>

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<u128>>

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

fn from_f32(n: f32) -> Option<Ratio<u128>>

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<u128>>

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

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 FromPrimitive for Ratio<u16>

fn from_i64(n: i64) -> Option<Ratio<u16>>

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<u16>>

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

fn from_u64(n: u64) -> Option<Ratio<u16>>

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<u16>>

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

fn from_f32(n: f32) -> Option<Ratio<u16>>

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<u16>>

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

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 FromPrimitive for Ratio<u32>

fn from_i64(n: i64) -> Option<Ratio<u32>>

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<u32>>

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

fn from_u64(n: u64) -> Option<Ratio<u32>>

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<u32>>

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

fn from_f32(n: f32) -> Option<Ratio<u32>>

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<u32>>

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

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 FromPrimitive for Ratio<u64>

fn from_i64(n: i64) -> Option<Ratio<u64>>

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<u64>>

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

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

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<u64>>

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

fn from_f32(n: f32) -> Option<Ratio<u64>>

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<u64>>

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

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 FromPrimitive for Ratio<u8>

fn from_i64(n: i64) -> Option<Ratio<u8>>

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<u8>>

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

fn from_u64(n: u64) -> Option<Ratio<u8>>

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<u8>>

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

fn from_f32(n: f32) -> Option<Ratio<u8>>

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<u8>>

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

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 FromPrimitive for Ratio<usize>

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

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<usize>>

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

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

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<usize>>

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

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

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<usize>>

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

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. Read more

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

Feeds a slice of this type into the given Hasher. Read more

impl<'a, T> Inv for &'a 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. Read more

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. Read more

impl<T> LowerExp for Ratio<T>
where T: LowerExp + Clone + Integer,

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

Formats the value using the given formatter. Read more

impl<T> LowerHex for Ratio<T>
where T: LowerHex + Clone + Integer,

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

Formats the value using the given formatter. Read more

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, other: &'b Ratio<T>) -> Ratio<T>

Performs the * operation. Read more

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. Read more

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

type Output = Ratio<T>

The resulting type after applying the * operator.

fn mul(self, other: &'b T) -> Ratio<T>

Performs the * operation. Read more

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. Read more

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>

Performs the * operation. Read more

impl<'a, T> Mul<T> for &'a 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. Read more

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. Read more

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. Read more

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. Read more

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

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

Performs the *= operation. Read more

impl<T> MulAssign<T> for Ratio<T>
where T: Clone + Integer + NumAssign,

fn mul_assign(&mut self, other: T)

Performs the *= operation. Read more

impl<T> MulAssign for Ratio<T>
where T: Clone + Integer + NumAssign,

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

Performs the *= operation. Read more

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>

Performs the unary - operation. Read more

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. Read more

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> Octal for Ratio<T>
where T: Octal + Clone + Integer,

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

Formats the value using the given formatter. Read more

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

fn one() -> Ratio<T>

Returns the multiplicative identity element of Self, 1. Read more

fn is_one(&self) -> bool

Returns true if self is equal to the multiplicative identity. Read more

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. Read more

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fn max(self, other: Self) -> Self
where Self: Sized,

Compares and returns the maximum of two values. Read more

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fn min(self, other: Self) -> Self
where Self: Sized,

Compares and returns the minimum of two values. Read more

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fn clamp(self, min: Self, max: Self) -> Self
where Self: Sized,

Restrict a value to a certain interval. Read more

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 ==.

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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. Read more

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

Tests less than (for self and other) and is used by the < operator. Read more

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

Tests less than or equal to (for self and other) and is used by the <= operator. Read more

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

Tests greater than (for self and other) and is used by the > operator. Read more

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

Tests greater than or equal to (for self and other) and is used by the >= operator. Read more

impl<'a, 'b, T> Pow<&'b BigInt> for &'a Ratio<T>
where T: Clone + Integer, &'a T: Pow<&'b BigUint, Output = T>,

type Output = Ratio<T>

The result after applying the operator.

fn pow(self, expon: &'b BigInt) -> Ratio<T>

Returns self to the power rhs. Read more

impl<'b, T> Pow<&'b BigInt> for Ratio<T>
where T: Clone + Integer + Pow<&'b BigUint, Output = T>,

type Output = Ratio<T>

The result after applying the operator.

fn pow(self, expon: &'b BigInt) -> Ratio<T>

Returns self to the power rhs. Read more

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

type Output = Ratio<T>

The result after applying the operator.

fn pow(self, expon: &'b BigUint) -> Ratio<T>

Returns self to the power rhs. Read more

impl<'b, T> Pow<&'b BigUint> for Ratio<T>
where T: Clone + Integer + Pow<&'b BigUint, Output = T>,

type Output = Ratio<T>

The result after applying the operator.

fn pow(self, expon: &'b BigUint) -> Ratio<T>

Returns self to the power rhs. Read more

impl<'a, 'b, T> Pow<&'b i128> for &'a Ratio<T>
where T: Clone + Integer, &'a T: Pow<u128, Output = T>,

type Output = Ratio<T>

The result after applying the operator.

fn pow(self, expon: &'b i128) -> Ratio<T>

Returns self to the power rhs. Read more

impl<'b, T> Pow<&'b i128> for Ratio<T>
where T: Clone + Integer + Pow<u128, Output = T>,

type Output = Ratio<T>

The result after applying the operator.

fn pow(self, expon: &'b i128) -> Ratio<T>

Returns self to the power rhs. Read more

impl<'a, 'b, T> Pow<&'b i16> for &'a Ratio<T>
where T: Clone + Integer, &'a T: Pow<u16, Output = T>,

type Output = Ratio<T>

The result after applying the operator.

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

Returns self to the power rhs. Read more

impl<'b, T> Pow<&'b 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: &'b i16) -> Ratio<T>

Returns self to the power rhs. Read more

impl<'a, 'b, T> Pow<&'b i32> for &'a Ratio<T>
where T: Clone + Integer, &'a T: Pow<u32, Output = T>,

type Output = Ratio<T>

The result after applying the operator.

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

Returns self to the power rhs. Read more

impl<'b, T> Pow<&'b 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: &'b i32) -> Ratio<T>

Returns self to the power rhs. Read more

impl<'a, 'b, T> Pow<&'b i64> for &'a Ratio<T>
where T: Clone + Integer, &'a T: Pow<u64, Output = T>,

type Output = Ratio<T>

The result after applying the operator.

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

Returns self to the power rhs. Read more

impl<'b, T> Pow<&'b 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: &'b i64) -> Ratio<T>

Returns self to the power rhs. Read more

impl<'a, 'b, T> Pow<&'b i8> for &'a Ratio<T>
where T: Clone + Integer, &'a T: Pow<u8, Output = T>,

type Output = Ratio<T>

The result after applying the operator.

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

Returns self to the power rhs. Read more

impl<'b, T> Pow<&'b 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: &'b i8) -> Ratio<T>

Returns self to the power rhs. Read more

impl<'a, 'b, T> Pow<&'b isize> for &'a Ratio<T>
where T: Clone + Integer, &'a T: Pow<usize, Output = T>,

type Output = Ratio<T>

The result after applying the operator.

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

Returns self to the power rhs. Read more

impl<'b, T> Pow<&'b 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: &'b isize) -> Ratio<T>

Returns self to the power rhs. Read more

impl<'a, 'b, T> Pow<&'b u128> for &'a Ratio<T>
where T: Clone + Integer, &'a T: Pow<u128, Output = T>,

type Output = Ratio<T>

The result after applying the operator.

fn pow(self, expon: &'b u128) -> Ratio<T>

Returns self to the power rhs. Read more

impl<'b, T> Pow<&'b u128> for Ratio<T>
where T: Clone + Integer + Pow<u128, Output = T>,

type Output = Ratio<T>

The result after applying the operator.

fn pow(self, expon: &'b u128) -> Ratio<T>

Returns self to the power rhs. Read more

impl<'a, 'b, T> Pow<&'b u16> for &'a Ratio<T>
where T: Clone + Integer, &'a T: Pow<u16, Output = T>,

type Output = Ratio<T>

The result after applying the operator.

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

Returns self to the power rhs. Read more

impl<'b, T> Pow<&'b 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: &'b u16) -> Ratio<T>

Returns self to the power rhs. Read more

impl<'a, 'b, T> Pow<&'b u32> for &'a Ratio<T>
where T: Clone + Integer, &'a T: Pow<u32, Output = T>,

type Output = Ratio<T>

The result after applying the operator.

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

Returns self to the power rhs. Read more

impl<'b, T> Pow<&'b 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: &'b u32) -> Ratio<T>

Returns self to the power rhs. Read more

impl<'a, 'b, T> Pow<&'b u64> for &'a Ratio<T>
where T: Clone + Integer, &'a T: Pow<u64, Output = T>,

type Output = Ratio<T>

The result after applying the operator.

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

Returns self to the power rhs. Read more

impl<'b, T> Pow<&'b 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: &'b u64) -> Ratio<T>

Returns self to the power rhs. Read more

impl<'a, 'b, T> Pow<&'b u8> for &'a Ratio<T>
where T: Clone + Integer, &'a T: Pow<u8, Output = T>,

type Output = Ratio<T>

The result after applying the operator.

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

Returns self to the power rhs. Read more

impl<'b, T> Pow<&'b 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: &'b u8) -> Ratio<T>

Returns self to the power rhs. Read more

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

type Output = Ratio<T>

The result after applying the operator.

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

Returns self to the power rhs. Read more

impl<'b, T> Pow<&'b 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: &'b usize) -> Ratio<T>

Returns self to the power rhs. Read more

impl<'a, T> Pow<BigInt> for &'a Ratio<T>
where T: Clone + Integer, &'a T: for<'b> Pow<&'b BigUint, Output = T>,

type Output = Ratio<T>

The result after applying the operator.

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

Returns self to the power rhs. Read more

impl<T> Pow<BigInt> for Ratio<T>
where T: Clone + Integer + for<'b> Pow<&'b BigUint, Output = T>,

type Output = Ratio<T>

The result after applying the operator.

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

Returns self to the power rhs. Read more

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

type Output = Ratio<T>

The result after applying the operator.

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

Returns self to the power rhs. Read more

impl<T> Pow<BigUint> for Ratio<T>
where T: Clone + Integer + for<'b> Pow<&'b BigUint, Output = T>,

type Output = Ratio<T>

The result after applying the operator.

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

Returns self to the power rhs. Read more

impl<'a, T> Pow<i128> for &'a Ratio<T>
where T: Clone + Integer, &'a T: Pow<u128, Output = T>,

type Output = Ratio<T>

The result after applying the operator.

fn pow(self, expon: i128) -> Ratio<T>

Returns self to the power rhs. Read more

impl<T> Pow<i128> for Ratio<T>
where T: Clone + Integer + Pow<u128, Output = T>,

type Output = Ratio<T>

The result after applying the operator.

fn pow(self, expon: i128) -> Ratio<T>

Returns self to the power rhs. Read more

impl<'a, T> Pow<i16> for &'a Ratio<T>
where T: Clone + Integer, &'a T: 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. Read more

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. Read more

impl<'a, T> Pow<i32> for &'a Ratio<T>
where T: Clone + Integer, &'a T: 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. Read more

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. Read more

impl<'a, T> Pow<i64> for &'a Ratio<T>
where T: Clone + Integer, &'a T: 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. Read more

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. Read more

impl<'a, T> Pow<i8> for &'a Ratio<T>
where T: Clone + Integer, &'a T: 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. Read more

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. Read more

impl<'a, T> Pow<isize> for &'a Ratio<T>
where T: Clone + Integer, &'a T: 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. Read more

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. Read more

impl<'a, T> Pow<u128> for &'a Ratio<T>
where T: Clone + Integer, &'a T: Pow<u128, Output = T>,

type Output = Ratio<T>

The result after applying the operator.

fn pow(self, expon: u128) -> Ratio<T>

Returns self to the power rhs. Read more

impl<T> Pow<u128> for Ratio<T>
where T: Clone + Integer + Pow<u128, Output = T>,

type Output = Ratio<T>

The result after applying the operator.

fn pow(self, expon: u128) -> Ratio<T>

Returns self to the power rhs. Read more

impl<'a, T> Pow<u16> for &'a Ratio<T>
where T: Clone + Integer, &'a T: 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. Read more

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. Read more

impl<'a, T> Pow<u32> for &'a Ratio<T>
where T: Clone + Integer, &'a T: 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. Read more

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. Read more

impl<'a, T> Pow<u64> for &'a Ratio<T>
where T: Clone + Integer, &'a T: 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. Read more

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. Read more

impl<'a, T> Pow<u8> for &'a Ratio<T>
where T: Clone + Integer, &'a T: 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. Read more

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. Read more

impl<'a, T> Pow<usize> for &'a Ratio<T>
where T: Clone + Integer, &'a T: 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. Read more

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. Read more

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, 'b, T> Rem<&'b 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: &'b Ratio<T>) -> Ratio<T>

Performs the % operation. Read more

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. Read more

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

type Output = Ratio<T>

The resulting type after applying the % operator.

fn rem(self, other: &'b T) -> Ratio<T>

Performs the % operation. Read more

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. Read more

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>

Performs the % operation. Read more

impl<'a, T> Rem<T> for &'a 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. Read more

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. Read more

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. Read more

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. Read more

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

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

Performs the %= operation. Read more

impl<T> RemAssign<T> for Ratio<T>
where T: Clone + Integer + NumAssign,

fn rem_assign(&mut self, other: T)

Performs the %= operation. Read more

impl<T> RemAssign for Ratio<T>
where T: Clone + Integer + NumAssign,

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

Performs the %= operation. Read more

impl<T> Serialize for Ratio<T>
where T: Serialize + Clone + Integer + PartialOrd,

Available on crate feature serde only.

fn serialize<S>( &self, serializer: S, ) -> Result<<S as Serializer>::Ok, <S as Serializer>::Error>
where S: Serializer,

Serialize this value into the given Serde serializer. Read more

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

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

Computes the absolute value. Read more

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

The positive difference of two numbers. Read more

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

Returns the sign of the number. Read more

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, 'b, T> Sub<&'b 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: &'b Ratio<T>) -> Ratio<T>

Performs the - operation. Read more

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. Read more

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

type Output = Ratio<T>

The resulting type after applying the - operator.

fn sub(self, other: &'b T) -> Ratio<T>

Performs the - operation. Read more

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. Read more

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>

Performs the - operation. Read more

impl<'a, T> Sub<T> for &'a 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. Read more

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. Read more

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. Read more

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. Read more

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

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

Performs the -= operation. Read more

impl<T> SubAssign<T> for Ratio<T>
where T: Clone + Integer + NumAssign,

fn sub_assign(&mut self, other: T)

Performs the -= operation. Read more

impl<T> SubAssign for Ratio<T>
where T: Clone + Integer + NumAssign,

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

Performs the -= operation. Read more

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> ToPrimitive for Ratio<T>
where T: Clone + Integer + ToPrimitive + ToBigInt,

Available on crate feature num-bigint only.

fn to_i64(&self) -> Option<i64>

Converts the value of self to an i64. If the value cannot be represented by an i64, then None is returned.

fn to_i128(&self) -> Option<i128>

Converts the value of self to an i128. If the value cannot be represented by an i128 (i64 under the default implementation), then None is returned. Read more

fn to_u64(&self) -> Option<u64>

Converts the value of self to a u64. If the value cannot be represented by a u64, then None is returned.

fn to_u128(&self) -> Option<u128>

Converts the value of self to a u128. If the value cannot be represented by a u128 (u64 under the default implementation), then None is returned. Read more

fn to_f64(&self) -> Option<f64>

Converts the value of self to an f64. Overflows may map to positive or negative inifinity, otherwise None is returned if the value cannot be represented by an f64. Read more

fn to_isize(&self) -> Option<isize>

Converts the value of self to an isize. If the value cannot be represented by an isize, then None is returned.

fn to_i8(&self) -> Option<i8>

Converts the value of self to an i8. If the value cannot be represented by an i8, then None is returned.

fn to_i16(&self) -> Option<i16>

Converts the value of self to an i16. If the value cannot be represented by an i16, then None is returned.

fn to_i32(&self) -> Option<i32>

Converts the value of self to an i32. If the value cannot be represented by an i32, then None is returned.

fn to_usize(&self) -> Option<usize>

Converts the value of self to a usize. If the value cannot be represented by a usize, then None is returned.

fn to_u8(&self) -> Option<u8>

Converts the value of self to a u8. If the value cannot be represented by a u8, then None is returned.

fn to_u16(&self) -> Option<u16>

Converts the value of self to a u16. If the value cannot be represented by a u16, then None is returned.

fn to_u32(&self) -> Option<u32>

Converts the value of self to a u32. If the value cannot be represented by a u32, then None is returned.

fn to_f32(&self) -> Option<f32>

Converts the value of self to an f32. Overflows may map to positive or negative inifinity, otherwise None is returned if the value cannot be represented by an f32.

impl<T> UpperExp for Ratio<T>
where T: UpperExp + Clone + Integer,

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

Formats the value using the given formatter. Read more

impl<T> UpperHex for Ratio<T>
where T: UpperHex + Clone + Integer,

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

Formats the value using the given formatter. Read more

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

fn zero() -> Ratio<T>

Returns the additive identity element of Self, 0. Read more

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,

Auto Trait Implementations§

impl<T> Freeze for Ratio<T>
where T: Freeze,

impl<T> RefUnwindSafe for Ratio<T>
where T: RefUnwindSafe,

impl<T> Send for Ratio<T>
where T: Send,

impl<T> Sync for Ratio<T>
where T: Sync,

impl<T> Unpin for Ratio<T>
where T: Unpin,

impl<T> UnwindSafe for Ratio<T>
where T: UnwindSafe,

Blanket Implementations§

impl<T> AlignerFor<1> for T

type Aligner = AlignTo1<T>

The AlignTo* type which aligns Self to ALIGNMENT.

impl<T> AlignerFor<1024> for T

type Aligner = AlignTo1024<T>

The AlignTo* type which aligns Self to ALIGNMENT.

impl<T> AlignerFor<128> for T

type Aligner = AlignTo128<T>

The AlignTo* type which aligns Self to ALIGNMENT.

impl<T> AlignerFor<16> for T

type Aligner = AlignTo16<T>

The AlignTo* type which aligns Self to ALIGNMENT.

impl<T> AlignerFor<16384> for T

type Aligner = AlignTo16384<T>

The AlignTo* type which aligns Self to ALIGNMENT.

impl<T> AlignerFor<2> for T

type Aligner = AlignTo2<T>

The AlignTo* type which aligns Self to ALIGNMENT.

impl<T> AlignerFor<2048> for T

type Aligner = AlignTo2048<T>

The AlignTo* type which aligns Self to ALIGNMENT.

impl<T> AlignerFor<256> for T

type Aligner = AlignTo256<T>

The AlignTo* type which aligns Self to ALIGNMENT.

impl<T> AlignerFor<32> for T

type Aligner = AlignTo32<T>

The AlignTo* type which aligns Self to ALIGNMENT.

impl<T> AlignerFor<32768> for T

type Aligner = AlignTo32768<T>

The AlignTo* type which aligns Self to ALIGNMENT.

impl<T> AlignerFor<4> for T

type Aligner = AlignTo4<T>

The AlignTo* type which aligns Self to ALIGNMENT.

impl<T> AlignerFor<4096> for T

type Aligner = AlignTo4096<T>

The AlignTo* type which aligns Self to ALIGNMENT.

impl<T> AlignerFor<512> for T

type Aligner = AlignTo512<T>

The AlignTo* type which aligns Self to ALIGNMENT.

impl<T> AlignerFor<64> for T

type Aligner = AlignTo64<T>

The AlignTo* type which aligns Self to ALIGNMENT.

impl<T> AlignerFor<8> for T

type Aligner = AlignTo8<T>

The AlignTo* type which aligns Self to ALIGNMENT.

impl<T> AlignerFor<8192> for T

type Aligner = AlignTo8192<T>

The AlignTo* type which aligns Self to ALIGNMENT.

impl<T> Any for T
where T: 'static + ?Sized,

fn type_id(&self) -> TypeId

Gets the TypeId of self. Read more

impl<N, R, C, S> ArgminAdd<Matrix<N, R, C, S>, Matrix<N, R, C, <DefaultAllocator as Allocator<R, C>>::Buffer<N>>> for N
where N: Scalar + ClosedAddAssign + Copy, R: Dim, C: Dim, S: Storage<N, R, C>, DefaultAllocator: Allocator<N, R, C>,

fn add( &self, other: &Matrix<N, R, C, S>, ) -> Matrix<N, R, C, <DefaultAllocator as Allocator<R, C>>::Buffer<N>>

Add a T to self

impl<N, R, C, S> ArgminDiv<Matrix<N, R, C, S>, Matrix<N, R, C, <DefaultAllocator as Allocator<R, C>>::Buffer<N>>> for N
where N: Scalar + Copy + ClosedDivAssign, R: Dim, C: Dim, S: Storage<N, R, C>, DefaultAllocator: Allocator<N, R, C>,

fn div( &self, other: &Matrix<N, R, C, S>, ) -> Matrix<N, R, C, <DefaultAllocator as Allocator<R, C>>::Buffer<N>>

(Pointwise) Divide a T by self

impl<N, R, C, S> ArgminDot<Matrix<N, R, C, S>, Matrix<N, R, C, <DefaultAllocator as Allocator<R, C>>::Buffer<N>>> for N
where N: Scalar + Copy + ClosedMulAssign, R: Dim, C: Dim, S: Storage<N, R, C>, DefaultAllocator: Allocator<N, R, C>,

fn dot( &self, other: &Matrix<N, R, C, S>, ) -> Matrix<N, R, C, <DefaultAllocator as Allocator<R, C>>::Buffer<N>>

Dot/scalar product of T and self

impl<N, R, C, S> ArgminMul<Matrix<N, R, C, S>, Matrix<N, R, C, <DefaultAllocator as Allocator<R, C>>::Buffer<N>>> for N
where N: Scalar + Copy + ClosedMulAssign, R: Dim, C: Dim, S: Storage<N, R, C>, DefaultAllocator: Allocator<N, R, C>,

fn mul( &self, other: &Matrix<N, R, C, S>, ) -> Matrix<N, R, C, <DefaultAllocator as Allocator<R, C>>::Buffer<N>>

(Pointwise) Multiply a T with self

impl<N, R, C, S> ArgminSub<Matrix<N, R, C, S>, Matrix<N, R, C, <DefaultAllocator as Allocator<R, C>>::Buffer<N>>> for N
where N: Scalar + Copy + Sub<Output = N>, R: Dim, C: Dim, S: Storage<N, R, C>, DefaultAllocator: Allocator<N, R, C>,

fn sub( &self, other: &Matrix<N, R, C, S>, ) -> Matrix<N, R, C, <DefaultAllocator as Allocator<R, C>>::Buffer<N>>

Subtract a T from self

impl<T> Borrow<T> for T
where T: ?Sized,

fn borrow(&self) -> &T

Immutably borrows from an owned value. Read more

impl<T> BorrowMut<T> for T
where T: ?Sized,

fn borrow_mut(&mut self) -> &mut T

Mutably borrows from an owned value. Read more

impl<T> CloneToUninit for T
where T: Clone,

unsafe fn clone_to_uninit(&self, dest: *mut u8)

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

Performs copy-assignment from self to dest. Read more

impl<Q, K> Comparable<K> for Q
where Q: Ord + ?Sized, K: Borrow<Q> + ?Sized,

fn compare(&self, key: &K) -> Ordering

Compare self to key and return their ordering.

impl<Q, K> Equivalent<K> for Q
where Q: Eq + ?Sized, K: Borrow<Q> + ?Sized,

fn equivalent(&self, key: &K) -> bool

Checks if this value is equivalent to the given key. Read more

impl<Q, K> Equivalent<K> for Q
where Q: Eq + ?Sized, K: Borrow<Q> + ?Sized,

fn equivalent(&self, key: &K) -> bool

Compare self to key and return true if they are equal.

impl<Q, K> Equivalent<K> for Q
where Q: Eq + ?Sized, K: Borrow<Q> + ?Sized,

fn equivalent(&self, key: &K) -> bool

Checks if this value is equivalent to the given key. Read more

impl<T> From<T> for T

fn from(t: T) -> T

Returns the argument unchanged.

impl<T, W> HasTypeWitness<W> for T
where W: MakeTypeWitness<Arg = T>, T: ?Sized,

const WITNESS: W = W::MAKE

A constant of the type witness

impl<T> Identity for T
where T: ?Sized,

const TYPE_EQ: TypeEq<T, <T as Identity>::Type> = TypeEq::NEW

Proof that Self is the same type as Self::Type, provides methods for casting between Self and Self::Type.

type Type = T

The same type as Self, used to emulate type equality bounds (T == U) with associated type equality constraints (T: Identity<Type = U>).

impl<T, U> Into<U> for T
where U: From<T>,

fn into(self) -> U

Calls U::from(self).

That is, this conversion is whatever the implementation of From<T> for U chooses to do.

impl<T> IntoEither for T

fn into_either(self, into_left: bool) -> Either<Self, Self> ⓘ

Converts self into a Left variant of Either<Self, Self> if into_left is true. Converts self into a Right variant of Either<Self, Self> otherwise. Read more

fn into_either_with<F>(self, into_left: F) -> Either<Self, Self> ⓘ
where F: FnOnce(&Self) -> bool,

Converts self into a Left variant of Either<Self, Self> if into_left(&self) returns true. Converts self into a Right variant of Either<Self, Self> otherwise. Read more

impl<N, A, B> MulAcc<A, B> for N
where &'x A: for<'x> Mul<&'x B, Output = N>, N: AddAssign,

fn mul_acc(&mut self, a: &A, b: &B)

Multiply and accumulate in this variable, formally *self += a * b.

impl<T> Pointable for T

const ALIGN: usize

The alignment of pointer.

type Init = T

The type for initializers.

unsafe fn init(init: <T as Pointable>::Init) -> usize

Initializes a with the given initializer. Read more

unsafe fn deref<'a>(ptr: usize) -> &'a T

Dereferences the given pointer. Read more

unsafe fn deref_mut<'a>(ptr: usize) -> &'a mut T

Mutably dereferences the given pointer. Read more

unsafe fn drop(ptr: usize)

Drops the object pointed to by the given pointer. Read more

impl<'a, T> RCowCompatibleRef<'a> for T
where T: Clone + 'a,

type RefC = &'a T

The (preferably) ffi-safe equivalent of &Self.

type ROwned = T

The owned version of Self::RefC.

fn as_c_ref(from: &'a T) -> <T as RCowCompatibleRef<'a>>::RefC

Converts a reference to an FFI-safe type

fn as_rust_ref(from: <T as RCowCompatibleRef<'a>>::RefC) -> &'a T

Converts an FFI-safe type to a reference

impl<S> ROExtAcc for S

fn f_get<F>(&self, offset: FieldOffset<S, F, Aligned>) -> &F

Gets a reference to a field, determined by offset. Read more

fn f_get_mut<F>(&mut self, offset: FieldOffset<S, F, Aligned>) -> &mut F

Gets a muatble reference to a field, determined by offset. Read more

fn f_get_ptr<F, A>(&self, offset: FieldOffset<S, F, A>) -> *const F

Gets a const pointer to a field, the field is determined by offset. Read more

fn f_get_mut_ptr<F, A>(&mut self, offset: FieldOffset<S, F, A>) -> *mut F

Gets a mutable pointer to a field, determined by offset. Read more

impl<S> ROExtOps<Aligned> for S

fn f_replace<F>(&mut self, offset: FieldOffset<S, F, Aligned>, value: F) -> F

Replaces a field (determined by offset) with value, returning the previous value of the field. Read more

fn f_swap<F>(&mut self, offset: FieldOffset<S, F, Aligned>, right: &mut S)

Swaps a field (determined by offset) with the same field in right. Read more

fn f_get_copy<F>(&self, offset: FieldOffset<S, F, Aligned>) -> F
where F: Copy,

Gets a copy of a field (determined by offset). The field is determined by offset. Read more

impl<S> ROExtOps<Unaligned> for S

fn f_replace<F>(&mut self, offset: FieldOffset<S, F, Unaligned>, value: F) -> F

Replaces a field (determined by offset) with value, returning the previous value of the field. Read more

fn f_swap<F>(&mut self, offset: FieldOffset<S, F, Unaligned>, right: &mut S)

Swaps a field (determined by offset) with the same field in right. Read more

fn f_get_copy<F>(&self, offset: FieldOffset<S, F, Unaligned>) -> F
where F: Copy,

Gets a copy of a field (determined by offset). The field is determined by offset. Read more

impl<T> Same for T

type Output = T

Should always be Self

impl<T> SelfOps for T
where T: ?Sized,

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

Compares the address of self with the address of other. Read more

fn piped<F, U>(self, f: F) -> U
where F: FnOnce(Self) -> U, Self: Sized,

Emulates the pipeline operator, allowing method syntax in more places. Read more

fn piped_ref<'a, F, U>(&'a self, f: F) -> U
where F: FnOnce(&'a Self) -> U,

The same as piped except that the function takes &Self Useful for functions that take &Self instead of Self. Read more

fn piped_mut<'a, F, U>(&'a mut self, f: F) -> U
where F: FnOnce(&'a mut Self) -> U,

The same as piped, except that the function takes &mut Self. Useful for functions that take &mut Self instead of Self.

fn mutated<F>(self, f: F) -> Self
where F: FnOnce(&mut Self), Self: Sized,

Mutates self using a closure taking self by mutable reference, passing it along the method chain. Read more

fn observe<F>(self, f: F) -> Self
where F: FnOnce(&Self), Self: Sized,

Observes the value of self, passing it along unmodified. Useful in long method chains. Read more

fn into_<T>(self) -> T
where Self: Into<T>,

Performs a conversion with Into. using the turbofish .into_::<_>() syntax. Read more

fn as_ref_<T>(&self) -> &T
where Self: AsRef<T>, T: ?Sized,

Performs a reference to reference conversion with AsRef, using the turbofish .as_ref_::<_>() syntax. Read more

fn as_mut_<T>(&mut self) -> &mut T
where Self: AsMut<T>, T: ?Sized,

Performs a mutable reference to mutable reference conversion with AsMut, using the turbofish .as_mut_::<_>() syntax. Read more

fn drop_(self)
where Self: Sized,

Drops self using method notation. Alternative to std::mem::drop. Read more

impl<SS, SP> SupersetOf<SS> for SP
where SS: SubsetOf<SP>,

fn to_subset(&self) -> Option<SS>

The inverse inclusion map: attempts to construct self from the equivalent element of its superset. Read more

fn is_in_subset(&self) -> bool

Checks if self is actually part of its subset T (and can be converted to it).

fn to_subset_unchecked(&self) -> SS

Use with care! Same as self.to_subset but without any property checks. Always succeeds.

fn from_subset(element: &SS) -> SP

The inclusion map: converts self to the equivalent element of its superset.

impl<SS, SP> SupersetOf<SS> for SP
where SS: SubsetOf<SP>,

fn to_subset(&self) -> Option<SS>

The inverse inclusion map: attempts to construct self from the equivalent element of its superset. Read more

fn is_in_subset(&self) -> bool

Checks if self is actually part of its subset T (and can be converted to it).

unsafe fn to_subset_unchecked(&self) -> SS

Use with care! Same as self.to_subset but without any property checks. Always succeeds.

fn from_subset(element: &SS) -> SP

The inclusion map: converts self to the equivalent element of its superset.

impl<T> ToOwned for T
where T: Clone,

type Owned = T

The resulting type after obtaining ownership.

fn to_owned(&self) -> T

Creates owned data from borrowed data, usually by cloning. Read more

fn clone_into(&self, target: &mut T)

Uses borrowed data to replace owned data, usually by cloning. Read more

impl<T> ToString for T
where T: Display + ?Sized,

fn to_string(&self) -> String

Converts the given value to a String. Read more

impl<This> TransmuteElement for This
where This: ?Sized,

unsafe fn transmute_element<T>(self) -> Self::TransmutedPtr
where Self: CanTransmuteElement<T>,

Transmutes the element type of this pointer.. Read more

impl<T, U> TryFrom<U> for T
where U: Into<T>,

type Error = Infallible

The type returned in the event of a conversion error.

fn try_from(value: U) -> Result<T, <T as TryFrom<U>>::Error>

Performs the conversion.

impl<T, U> TryInto<U> for T
where U: TryFrom<T>,

type Error = <U as TryFrom<T>>::Error

The type returned in the event of a conversion error.

fn try_into(self) -> Result<U, <U as TryFrom<T>>::Error>

Performs the conversion.

impl<T> TypeIdentity for T
where T: ?Sized,

type Type = T

This is always Self.

fn into_type(self) -> Self::Type
where Self: Sized, Self::Type: Sized,

Converts a value back to the original type.

fn as_type(&self) -> &Self::Type

Converts a reference back to the original type.

fn as_type_mut(&mut self) -> &mut Self::Type

Converts a mutable reference back to the original type.

fn into_type_box(self: Box<Self>) -> Box<Self::Type>

Converts a box back to the original type.

fn into_type_arc(this: Arc<Self>) -> Arc<Self::Type>

Converts an Arc back to the original type. Read more

fn into_type_rc(this: Rc<Self>) -> Rc<Self::Type>

Converts an Rc back to the original type. Read more

fn from_type(this: Self::Type) -> Self
where Self: Sized, Self::Type: Sized,

Converts a value back to the original type.

fn from_type_ref(this: &Self::Type) -> &Self

Converts a reference back to the original type.

fn from_type_mut(this: &mut Self::Type) -> &mut Self

Converts a mutable reference back to the original type.

fn from_type_box(this: Box<Self::Type>) -> Box<Self>

Converts a box back to the original type.

fn from_type_arc(this: Arc<Self::Type>) -> Arc<Self>

Converts an Arc back to the original type.

fn from_type_rc(this: Rc<Self::Type>) -> Rc<Self>

Converts an Rc back to the original type.

impl<V, T> VZip<V> for T
where V: MultiLane<T>,

fn vzip(self) -> V

impl<T, Right> ClosedAdd<Right> for T
where T: Add<Right, Output = T> + AddAssign<Right>,

impl<T, Right> ClosedAdd<Right> for T
where T: Add<Right, Output = T> + AddAssign<Right>,

impl<T, Right> ClosedAddAssign<Right> for T
where T: ClosedAdd<Right> + AddAssign<Right>,

impl<T, Right> ClosedDiv<Right> for T
where T: Div<Right, Output = T> + DivAssign<Right>,

impl<T, Right> ClosedDiv<Right> for T
where T: Div<Right, Output = T> + DivAssign<Right>,

impl<T, Right> ClosedDivAssign<Right> for T
where T: ClosedDiv<Right> + DivAssign<Right>,

impl<T, Right> ClosedMul<Right> for T
where T: Mul<Right, Output = T> + MulAssign<Right>,

impl<T, Right> ClosedMul<Right> for T
where T: Mul<Right, Output = T> + MulAssign<Right>,

impl<T, Right> ClosedMulAssign<Right> for T
where T: ClosedMul<Right> + MulAssign<Right>,

impl<T> ClosedNeg for T
where T: Neg<Output = T>,

impl<T> ClosedNeg for T
where T: Neg<Output = T>,

impl<T, Right> ClosedSub<Right> for T
where T: Sub<Right, Output = T> + SubAssign<Right>,

impl<T, Right> ClosedSub<Right> for T
where T: Sub<Right, Output = T> + SubAssign<Right>,

impl<T, Right> ClosedSubAssign<Right> for T
where T: ClosedSub<Right> + SubAssign<Right>,

impl<T> DeserializeOwned for T
where T: for<'de> Deserialize<'de>,

impl<T> FftNum for T
where T: Copy + FromPrimitive + Signed + Sync + Send + Debug + 'static,

impl<T> LinalgScalar for T
where T: One<Output = T> + Add<Output = T> + Sub<Output = T> + 'static + Mul + Copy + Div<Output = T> + Zero,

impl<T> NumAssign for T
where T: Num + NumAssignOps,

impl<T, Rhs> NumAssignOps<Rhs> for T
where T: AddAssign<Rhs> + SubAssign<Rhs> + MulAssign<Rhs> + DivAssign<Rhs> + RemAssign<Rhs>,

impl<T> NumAssignRef for T
where T: NumAssign + for<'r> NumAssignOps<&'r T>,

impl<T, Rhs, Output> NumOps<Rhs, Output> for T
where T: Sub<Rhs, Output = Output> + Mul<Rhs, Output = Output> + Div<Rhs, Output = Output> + Add<Rhs, Output = Output> + Rem<Rhs, Output = Output>,

impl<T> NumRef for T
where T: Num + for<'r> NumOps<&'r T>,

impl<T, Base> RefNum<Base> for T
where T: NumOps<Base, Base> + for<'r> NumOps<&'r Base, Base>,

impl<T> RuleType for T
where T: Copy + Debug + Eq + Hash + Ord,

impl<T> Scalar for T
where T: 'static + Clone + PartialEq + Debug,

impl<T> Scalar for T
where T: 'static + Clone + PartialEq + Debug,

impl<T> SendAlias for T

impl<T> SyncAlias for T

impl<This> ValidTag_Bounds for This
where This: Debug + Clone + PartialEq,