Struct sp_arithmetic::rational::Rational128

impl Rational128

pub fn zero() -> Self

Zero.

pub fn one() -> Self

One

pub fn is_zero(&self) -> bool

If it is zero or not

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

Build from a raw n/d.

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

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

pub fn n(&self) -> u128

Return the numerator.

pub fn d(&self) -> u128

Return the denominator.

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.

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.

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

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

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

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

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.

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§

impl Bounded for Rational128

fn min_value() -> Self

Returns the smallest finite number this type can represent

fn max_value() -> Self

Returns the largest finite number this type can represent

impl Clone for Rational128

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

impl Debug for Rational128

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

Formats the value using the given formatter. Read more

impl Default for Rational128

fn default() -> Rational128

Returns the “default value” for a type. Read more

impl From<Rational128> for RationalInfinite

fn from(t: Rational128) -> Self

Converts to this type from the input type.

impl<T: Into<u128>> From<T> for Rational128

fn from(t: T) -> Self

Converts to this type from the input type.

impl Ord for Rational128

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) -> 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 + PartialOrd,

Restrict a value to a certain interval. Read more

impl PartialEq for Rational128

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.

impl PartialOrd for Rational128

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

impl Copy for Rational128

impl Eq for Rational128

Auto Trait Implementations§

impl UnwindSafe for Rational128

Blanket Implementations§

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

fn type_id(&self) -> TypeId

Gets the TypeId of self. Read more

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> Conv for T

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

Converts self into T using Into<T>. Read more

impl<T> FmtForward for T

fn fmt_binary(self) -> FmtBinary<Self>
where Self: Binary,

Causes self to use its Binary implementation when Debug-formatted.

fn fmt_display(self) -> FmtDisplay<Self>
where Self: Display,

Causes self to use its Display implementation when Debug-formatted.

fn fmt_lower_exp(self) -> FmtLowerExp<Self>
where Self: LowerExp,

Causes self to use its LowerExp implementation when Debug-formatted.

fn fmt_lower_hex(self) -> FmtLowerHex<Self>
where Self: LowerHex,

Causes self to use its LowerHex implementation when Debug-formatted.

fn fmt_octal(self) -> FmtOctal<Self>
where Self: Octal,

Causes self to use its Octal implementation when Debug-formatted.

fn fmt_pointer(self) -> FmtPointer<Self>
where Self: Pointer,

Causes self to use its Pointer implementation when Debug-formatted.

fn fmt_upper_exp(self) -> FmtUpperExp<Self>
where Self: UpperExp,

Causes self to use its UpperExp implementation when Debug-formatted.

fn fmt_upper_hex(self) -> FmtUpperHex<Self>
where Self: UpperHex,

Causes self to use its UpperHex implementation when Debug-formatted.

fn fmt_list(self) -> FmtList<Self>
where &'a Self: for<'a> IntoIterator,

Formats each item in a sequence. Read more

impl<T> From<T> for T

fn from(t: T) -> T

Returns the argument unchanged.

impl<T, U> Into 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> LowerBounded for T
where T: Bounded,

fn min_value() -> T

Returns the smallest finite number this type can represent

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

fn pipe<R>(self, func: impl FnOnce(Self) -> R) -> R
where Self: Sized,

Pipes by value. This is generally the method you want to use. Read more

fn pipe_ref<'a, R>(&'a self, func: impl FnOnce(&'a Self) -> R) -> R
where R: 'a,

Borrows self and passes that borrow into the pipe function. Read more

fn pipe_ref_mut<'a, R>(&'a mut self, func: impl FnOnce(&'a mut Self) -> R) -> R
where R: 'a,

Mutably borrows self and passes that borrow into the pipe function. Read more

fn pipe_borrow<'a, B, R>(&'a self, func: impl FnOnce(&'a B) -> R) -> R
where Self: Borrow, B: 'a + ?Sized, R: 'a,

Borrows self, then passes self.borrow() into the pipe function. Read more

fn pipe_borrow_mut<'a, B, R>( &'a mut self, func: impl FnOnce(&'a mut B) -> R ) -> R
where Self: BorrowMut, B: 'a + ?Sized, R: 'a,

Mutably borrows self, then passes self.borrow_mut() into the pipe function. Read more

fn pipe_as_ref<'a, U, R>(&'a self, func: impl FnOnce(&'a U) -> R) -> R
where Self: AsRef, U: 'a + ?Sized, R: 'a,

Borrows self, then passes self.as_ref() into the pipe function.

fn pipe_as_mut<'a, U, R>(&'a mut self, func: impl FnOnce(&'a mut U) -> R) -> R
where Self: AsMut, U: 'a + ?Sized, R: 'a,

Mutably borrows self, then passes self.as_mut() into the pipe function.

fn pipe_deref<'a, T, R>(&'a self, func: impl FnOnce(&'a T) -> R) -> R
where Self: Deref<Target = T>, T: 'a + ?Sized, R: 'a,

Borrows self, then passes self.deref() into the pipe function.

fn pipe_deref_mut<'a, T, R>( &'a mut self, func: impl FnOnce(&'a mut T) -> R ) -> R
where Self: DerefMut<Target = T> + Deref, T: 'a + ?Sized, R: 'a,

Mutably borrows self, then passes self.deref_mut() into the pipe function.

impl<T> SaturatedConversion for T

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

Convert from a value of T into an equivalent instance of Self. Read more

fn saturated_into<T>(self) -> T
where Self: UniqueSaturatedInto<T>,

Consume self to return an equivalent value of T. Read more

impl<T> Tap for T

fn tap(self, func: impl FnOnce(&Self)) -> Self

Immutable access to a value. Read more

fn tap_mut(self, func: impl FnOnce(&mut Self)) -> Self

Mutable access to a value. Read more

fn tap_borrow(self, func: impl FnOnce(&B)) -> Self
where Self: Borrow, B: ?Sized,

Immutable access to the Borrow of a value. Read more

fn tap_borrow_mut(self, func: impl FnOnce(&mut B)) -> Self
where Self: BorrowMut, B: ?Sized,

Mutable access to the BorrowMut of a value. Read more

fn tap_ref<R>(self, func: impl FnOnce(&R)) -> Self
where Self: AsRef<R>, R: ?Sized,

Immutable access to the AsRef<R> view of a value. Read more

fn tap_ref_mut<R>(self, func: impl FnOnce(&mut R)) -> Self
where Self: AsMut<R>, R: ?Sized,

Mutable access to the AsMut<R> view of a value. Read more

fn tap_deref<T>(self, func: impl FnOnce(&T)) -> Self
where Self: Deref<Target = T>, T: ?Sized,

Immutable access to the Deref::Target of a value. Read more

fn tap_deref_mut<T>(self, func: impl FnOnce(&mut T)) -> Self
where Self: DerefMut<Target = T> + Deref, T: ?Sized,

Mutable access to the Deref::Target of a value. Read more

fn tap_dbg(self, func: impl FnOnce(&Self)) -> Self

Calls .tap() only in debug builds, and is erased in release builds.

fn tap_mut_dbg(self, func: impl FnOnce(&mut Self)) -> Self

Calls .tap_mut() only in debug builds, and is erased in release builds.

fn tap_borrow_dbg(self, func: impl FnOnce(&B)) -> Self
where Self: Borrow, B: ?Sized,

Calls .tap_borrow() only in debug builds, and is erased in release builds.

fn tap_borrow_mut_dbg(self, func: impl FnOnce(&mut B)) -> Self
where Self: BorrowMut, B: ?Sized,

Calls .tap_borrow_mut() only in debug builds, and is erased in release builds.

fn tap_ref_dbg<R>(self, func: impl FnOnce(&R)) -> Self
where Self: AsRef<R>, R: ?Sized,

Calls .tap_ref() only in debug builds, and is erased in release builds.

fn tap_ref_mut_dbg<R>(self, func: impl FnOnce(&mut R)) -> Self
where Self: AsMut<R>, R: ?Sized,

Calls .tap_ref_mut() only in debug builds, and is erased in release builds.

fn tap_deref_dbg<T>(self, func: impl FnOnce(&T)) -> Self
where Self: Deref<Target = T>, T: ?Sized,

Calls .tap_deref() only in debug builds, and is erased in release builds.

fn tap_deref_mut_dbg<T>(self, func: impl FnOnce(&mut T)) -> Self
where Self: DerefMut<Target = T> + Deref, T: ?Sized,

Calls .tap_deref_mut() only in debug builds, and is erased in release builds.

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> TryConv for T

fn try_conv<T>(self) -> Result<T, Self::Error>
where Self: TryInto<T>,

Attempts to convert self into T using TryInto<T>. Read more

impl<T, U> TryFrom 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>::Error>

Performs the conversion.

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

type Error = >::Error

The type returned in the event of a conversion error.

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

Performs the conversion.

impl<T, S> UniqueSaturatedFrom<T> for S
where S: TryFrom<T> + Bounded,

fn unique_saturated_from(t: T) -> S

Convert from a value of T into an equivalent instance of Self.

impl<T, S> UniqueSaturatedInto<T> for S
where T: Bounded, S: TryInto<T>,

fn unique_saturated_into(self) -> T

Consume self to return an equivalent value of T.

impl<T> UpperBounded for T
where T: Bounded,

fn max_value() -> T

Returns the largest finite number this type can represent