pub struct Rational128(_, _);
Expand description

A wrapper for any rational number with a 128 bit numerator and denominator.

Implementations§

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impl Rational128

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pub fn zero() -> Self

Zero.

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pub fn one() -> Self

One

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pub fn is_zero(&self) -> bool

If it is zero or not

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pub fn from(n: u128, d: u128) -> Self

Build from a raw n/d.

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pub fn from_unchecked(n: u128, d: u128) -> Self

Build from a raw n/d. This could lead to / 0 if not properly handled.

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pub fn n(&self) -> u128

Return the numerator.

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pub fn d(&self) -> u128

Return the denominator.

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pub fn to_den(self, den: u128) -> Option<Self>

Convert self to a similar rational number where denominator is the given den. This only returns if the result is accurate. None is returned if the result cannot be accurately calculated.

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pub fn lcm(&self, other: &Self) -> Option<u128>

Get the least common divisor of self and other.

This only returns if the result is accurate. None is returned if the result cannot be accurately calculated.

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pub fn lazy_saturating_add(self, other: Self) -> Self

A saturating add that assumes self and other have the same denominator.

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pub fn lazy_saturating_sub(self, other: Self) -> Self

A saturating subtraction that assumes self and other have the same denominator.

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pub fn checked_add(self, other: Self) -> Result<Self, &'static str>

Addition. Simply tries to unify the denominators and add the numerators.

Overflow might happen during any of the steps. Error is returned in such cases.

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pub fn checked_sub(self, other: Self) -> Result<Self, &'static str>

Subtraction. Simply tries to unify the denominators and subtract the numerators.

Overflow might happen during any of the steps. None is returned in such cases.

Trait Implementations§

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impl Bounded for Rational128

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fn min_value() -> Self

Returns the smallest finite number this type can represent
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fn max_value() -> Self

Returns the largest finite number this type can represent
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impl Clone for Rational128

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fn clone(&self) -> Rational128

Returns a copy of the value. Read more
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fn clone_from(&mut self, source: &Self)

Performs copy-assignment from source. Read more
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impl Debug for Rational128

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

Formats the value using the given formatter. Read more
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impl Default for Rational128

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fn default() -> Rational128

Returns the “default value” for a type. Read more
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impl From<Rational128> for RationalInfinite

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fn from(t: Rational128) -> Self

Converts to this type from the input type.
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impl<T: Into<u128>> From<T> for Rational128

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fn from(t: T) -> Self

Converts to this type from the input type.
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impl Ord for Rational128

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

This method returns an Ordering between self and other. Read more
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fn max(self, other: Self) -> Selfwhere Self: Sized,

Compares and returns the maximum of two values. Read more
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fn min(self, other: Self) -> Selfwhere Self: Sized,

Compares and returns the minimum of two values. Read more
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fn clamp(self, min: Self, max: Self) -> Selfwhere Self: Sized + PartialOrd<Self>,

Restrict a value to a certain interval. Read more
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impl PartialEq<Rational128> for Rational128

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

This method tests for self and other values to be equal, and is used by ==.
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fn ne(&self, other: &Rhs) -> bool

This method tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason.
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impl PartialOrd<Rational128> for Rational128

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

This method 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

This method 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

This method 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

This method tests greater than or equal to (for self and other) and is used by the >= operator. Read more
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impl Copy for Rational128

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impl Eq for Rational128

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impl StructuralEq for Rational128

Auto Trait Implementations§

Blanket Implementations§

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

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fn type_id(&self) -> TypeId

Gets the TypeId of self. Read more
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impl<T> Borrow<T> for Twhere T: ?Sized,

const: unstable · source§

fn borrow(&self) -> &T

Immutably borrows from an owned value. Read more
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impl<T> BorrowMut<T> for Twhere T: ?Sized,

const: unstable · source§

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

Mutably borrows from an owned value. Read more
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impl<T> From<T> for T

const: unstable · source§

fn from(t: T) -> T

Returns the argument unchanged.

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

const: unstable · source§

fn into(self) -> U

Calls U::from(self).

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

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impl<T> LowerBounded for Twhere T: Bounded,

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fn min_value() -> T

Returns the smallest finite number this type can represent
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impl<T> SaturatedConversion for T

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fn saturated_from<T>(t: T) -> Selfwhere Self: UniqueSaturatedFrom<T>,

Convert from a value of T into an equivalent instance of Self. Read more
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fn saturated_into<T>(self) -> Twhere Self: UniqueSaturatedInto<T>,

Consume self to return an equivalent value of T. Read more
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impl<T> ToOwned for Twhere T: Clone,

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type Owned = T

The resulting type after obtaining ownership.
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fn to_owned(&self) -> T

Creates owned data from borrowed data, usually by cloning. Read more
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fn clone_into(&self, target: &mut T)

Uses borrowed data to replace owned data, usually by cloning. Read more
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impl<T, U> TryFrom<U> for Twhere U: Into<T>,

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type Error = Infallible

The type returned in the event of a conversion error.
const: unstable · source§

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

Performs the conversion.
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impl<T, U> TryInto<U> for Twhere U: TryFrom<T>,

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

The type returned in the event of a conversion error.
const: unstable · source§

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

Performs the conversion.
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impl<T, S> UniqueSaturatedFrom<T> for Swhere S: TryFrom<T> + Bounded,

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fn unique_saturated_from(t: T) -> S

Convert from a value of T into an equivalent instance of Self.
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impl<T, S> UniqueSaturatedInto<T> for Swhere T: Bounded, S: TryInto<T>,

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fn unique_saturated_into(self) -> T

Consume self to return an equivalent value of T.
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impl<T> UpperBounded for Twhere T: Bounded,

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fn max_value() -> T

Returns the largest finite number this type can represent
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impl<T> JsonSchemaMaybe for T