Struct polkadot_sdk_frame::arithmetic::rational::Rational128
pub struct Rational128(/* private fields */);
Expand description
A wrapper for any rational number with a 128 bit numerator and denominator.
Implementations§
§impl Rational128
impl Rational128
pub fn zero() -> Rational128
pub fn zero() -> Rational128
Zero.
pub fn one() -> Rational128
pub fn one() -> Rational128
One
pub fn from(n: u128, d: u128) -> Rational128
pub fn from(n: u128, d: u128) -> Rational128
Build from a raw n/d
.
pub fn from_unchecked(n: u128, d: u128) -> Rational128
pub fn from_unchecked(n: u128, d: u128) -> Rational128
Build from a raw n/d
. This could lead to / 0 if not properly handled.
pub fn to_den(self, den: u128) -> Option<Rational128>
pub fn to_den(self, den: u128) -> Option<Rational128>
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: &Rational128) -> Option<u128>
pub fn lcm(&self, other: &Rational128) -> 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: Rational128) -> Rational128
pub fn lazy_saturating_add(self, other: Rational128) -> Rational128
A saturating add that assumes self
and other
have the same denominator.
pub fn lazy_saturating_sub(self, other: Rational128) -> Rational128
pub fn lazy_saturating_sub(self, other: Rational128) -> Rational128
A saturating subtraction that assumes self
and other
have the same denominator.
pub fn checked_add(
self,
other: Rational128,
) -> Result<Rational128, &'static str>
pub fn checked_add( self, other: Rational128, ) -> Result<Rational128, &'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: Rational128,
) -> Result<Rational128, &'static str>
pub fn checked_sub( self, other: Rational128, ) -> Result<Rational128, &'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
impl Bounded for Rational128
§fn min_value() -> Rational128
fn min_value() -> Rational128
§fn max_value() -> Rational128
fn max_value() -> Rational128
§impl Clone for Rational128
impl Clone for Rational128
§fn clone(&self) -> Rational128
fn clone(&self) -> Rational128
1.0.0 · source§fn clone_from(&mut self, source: &Self)
fn clone_from(&mut self, source: &Self)
source
. Read more§impl Debug for Rational128
impl Debug for Rational128
§impl Default for Rational128
impl Default for Rational128
§fn default() -> Rational128
fn default() -> Rational128
§impl From<Rational128> for RationalInfinite
impl From<Rational128> for RationalInfinite
§fn from(t: Rational128) -> RationalInfinite
fn from(t: Rational128) -> RationalInfinite
§impl<T> From<T> for Rational128
impl<T> From<T> for Rational128
§fn from(t: T) -> Rational128
fn from(t: T) -> Rational128
§impl Ord for Rational128
impl Ord for Rational128
§impl PartialEq for Rational128
impl PartialEq for Rational128
§fn eq(&self, other: &Rational128) -> bool
fn eq(&self, other: &Rational128) -> bool
self
and other
values to be equal, and is used
by ==
.§impl PartialOrd for Rational128
impl PartialOrd for Rational128
§fn partial_cmp(&self, other: &Rational128) -> Option<Ordering>
fn partial_cmp(&self, other: &Rational128) -> Option<Ordering>
1.0.0 · source§fn le(&self, other: &Rhs) -> bool
fn le(&self, other: &Rhs) -> bool
self
and other
) and is used by the <=
operator. Read moreimpl Copy for Rational128
impl Eq for Rational128
Auto Trait Implementations§
impl Freeze for Rational128
impl RefUnwindSafe for Rational128
impl Send for Rational128
impl Sync for Rational128
impl Unpin for Rational128
impl UnwindSafe for Rational128
Blanket Implementations§
source§impl<T> BorrowMut<T> for Twhere
T: ?Sized,
impl<T> BorrowMut<T> for Twhere
T: ?Sized,
source§fn borrow_mut(&mut self) -> &mut T
fn borrow_mut(&mut self) -> &mut T
§impl<T> CheckedConversion for T
impl<T> CheckedConversion for T
§fn checked_from<T>(t: T) -> Option<Self>where
Self: TryFrom<T>,
fn checked_from<T>(t: T) -> Option<Self>where
Self: TryFrom<T>,
§fn checked_into<T>(self) -> Option<T>where
Self: TryInto<T>,
fn checked_into<T>(self) -> Option<T>where
Self: TryInto<T>,
source§impl<T> CloneToUninit for Twhere
T: Copy,
impl<T> CloneToUninit for Twhere
T: Copy,
source§unsafe fn clone_to_uninit(&self, dst: *mut T)
unsafe fn clone_to_uninit(&self, dst: *mut T)
clone_to_uninit
)source§impl<T> CloneToUninit for Twhere
T: Clone,
impl<T> CloneToUninit for Twhere
T: Clone,
source§default unsafe fn clone_to_uninit(&self, dst: *mut T)
default unsafe fn clone_to_uninit(&self, dst: *mut T)
clone_to_uninit
)§impl<Q, K> Comparable<K> for Q
impl<Q, K> Comparable<K> for Q
§impl<T> Conv for T
impl<T> Conv for T
§impl<T> DefensiveMax<T> for Twhere
T: PartialOrd,
impl<T> DefensiveMax<T> for Twhere
T: PartialOrd,
§fn defensive_max(self, other: T) -> T
fn defensive_max(self, other: T) -> T
§fn defensive_strict_max(self, other: T) -> T
fn defensive_strict_max(self, other: T) -> T
§impl<T> DefensiveMin<T> for Twhere
T: PartialOrd,
impl<T> DefensiveMin<T> for Twhere
T: PartialOrd,
§fn defensive_min(self, other: T) -> T
fn defensive_min(self, other: T) -> T
§fn defensive_strict_min(self, other: T) -> T
fn defensive_strict_min(self, other: T) -> T
§impl<Q, K> Equivalent<K> for Q
impl<Q, K> Equivalent<K> for Q
§fn equivalent(&self, key: &K) -> bool
fn equivalent(&self, key: &K) -> bool
§impl<Q, K> Equivalent<K> for Q
impl<Q, K> Equivalent<K> for Q
§fn equivalent(&self, key: &K) -> bool
fn equivalent(&self, key: &K) -> bool
key
and return true
if they are equal.source§impl<Q, K> Equivalent<K> for Q
impl<Q, K> Equivalent<K> for Q
source§fn equivalent(&self, key: &K) -> bool
fn equivalent(&self, key: &K) -> bool
key
and return true
if they are equal.§impl<Q, K> Equivalent<K> for Q
impl<Q, K> Equivalent<K> for Q
§fn equivalent(&self, key: &K) -> bool
fn equivalent(&self, key: &K) -> bool
§impl<T> FmtForward for T
impl<T> FmtForward for T
§fn fmt_binary(self) -> FmtBinary<Self>where
Self: Binary,
fn fmt_binary(self) -> FmtBinary<Self>where
Self: Binary,
self
to use its Binary
implementation when Debug
-formatted.§fn fmt_display(self) -> FmtDisplay<Self>where
Self: Display,
fn fmt_display(self) -> FmtDisplay<Self>where
Self: Display,
self
to use its Display
implementation when
Debug
-formatted.§fn fmt_lower_exp(self) -> FmtLowerExp<Self>where
Self: LowerExp,
fn fmt_lower_exp(self) -> FmtLowerExp<Self>where
Self: LowerExp,
self
to use its LowerExp
implementation when
Debug
-formatted.§fn fmt_lower_hex(self) -> FmtLowerHex<Self>where
Self: LowerHex,
fn fmt_lower_hex(self) -> FmtLowerHex<Self>where
Self: LowerHex,
self
to use its LowerHex
implementation when
Debug
-formatted.§fn fmt_octal(self) -> FmtOctal<Self>where
Self: Octal,
fn fmt_octal(self) -> FmtOctal<Self>where
Self: Octal,
self
to use its Octal
implementation when Debug
-formatted.§fn fmt_pointer(self) -> FmtPointer<Self>where
Self: Pointer,
fn fmt_pointer(self) -> FmtPointer<Self>where
Self: Pointer,
self
to use its Pointer
implementation when
Debug
-formatted.§fn fmt_upper_exp(self) -> FmtUpperExp<Self>where
Self: UpperExp,
fn fmt_upper_exp(self) -> FmtUpperExp<Self>where
Self: UpperExp,
self
to use its UpperExp
implementation when
Debug
-formatted.§fn fmt_upper_hex(self) -> FmtUpperHex<Self>where
Self: UpperHex,
fn fmt_upper_hex(self) -> FmtUpperHex<Self>where
Self: UpperHex,
self
to use its UpperHex
implementation when
Debug
-formatted.§fn fmt_list(self) -> FmtList<Self>where
&'a Self: for<'a> IntoIterator,
fn fmt_list(self) -> FmtList<Self>where
&'a Self: for<'a> IntoIterator,
§impl<T> Instrument for T
impl<T> Instrument for T
§fn instrument(self, span: Span) -> Instrumented<Self>
fn instrument(self, span: Span) -> Instrumented<Self>
§fn in_current_span(self) -> Instrumented<Self>
fn in_current_span(self) -> Instrumented<Self>
source§impl<T> IntoEither for T
impl<T> IntoEither for T
source§fn into_either(self, into_left: bool) -> Either<Self, Self> ⓘ
fn into_either(self, into_left: bool) -> Either<Self, Self> ⓘ
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 moresource§fn into_either_with<F>(self, into_left: F) -> Either<Self, Self> ⓘ
fn into_either_with<F>(self, into_left: F) -> Either<Self, Self> ⓘ
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<Src, Dest> IntoTuple<Dest> for Srcwhere
Dest: FromTuple<Src>,
impl<Src, Dest> IntoTuple<Dest> for Srcwhere
Dest: FromTuple<Src>,
fn into_tuple(self) -> Dest
§impl<T, Outer> IsWrappedBy<Outer> for T
impl<T, Outer> IsWrappedBy<Outer> for T
source§impl<T> LowerBounded for Twhere
T: Bounded,
impl<T> LowerBounded for Twhere
T: Bounded,
§impl<T> Pipe for Twhere
T: ?Sized,
impl<T> Pipe for Twhere
T: ?Sized,
§fn pipe<R>(self, func: impl FnOnce(Self) -> R) -> Rwhere
Self: Sized,
fn pipe<R>(self, func: impl FnOnce(Self) -> R) -> Rwhere
Self: Sized,
§fn pipe_ref<'a, R>(&'a self, func: impl FnOnce(&'a Self) -> R) -> Rwhere
R: 'a,
fn pipe_ref<'a, R>(&'a self, func: impl FnOnce(&'a Self) -> R) -> Rwhere
R: 'a,
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) -> Rwhere
R: 'a,
fn pipe_ref_mut<'a, R>(&'a mut self, func: impl FnOnce(&'a mut Self) -> R) -> Rwhere
R: 'a,
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
fn pipe_borrow<'a, B, R>(&'a self, func: impl FnOnce(&'a B) -> R) -> R
§fn pipe_borrow_mut<'a, B, R>(
&'a mut self,
func: impl FnOnce(&'a mut B) -> R,
) -> R
fn pipe_borrow_mut<'a, B, R>( &'a mut self, func: impl FnOnce(&'a mut B) -> R, ) -> R
§fn pipe_as_ref<'a, U, R>(&'a self, func: impl FnOnce(&'a U) -> R) -> R
fn pipe_as_ref<'a, U, R>(&'a self, func: impl FnOnce(&'a U) -> R) -> R
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
fn pipe_as_mut<'a, U, R>(&'a mut self, func: impl FnOnce(&'a mut U) -> R) -> R
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
fn pipe_deref<'a, T, R>(&'a self, func: impl FnOnce(&'a T) -> R) -> R
self
, then passes self.deref()
into the pipe function.§impl<T> Pointable for T
impl<T> Pointable for T
§impl<T> SaturatedConversion for T
impl<T> SaturatedConversion for T
§fn saturated_from<T>(t: T) -> Selfwhere
Self: UniqueSaturatedFrom<T>,
fn saturated_from<T>(t: T) -> Selfwhere
Self: UniqueSaturatedFrom<T>,
§fn saturated_into<T>(self) -> Twhere
Self: UniqueSaturatedInto<T>,
fn saturated_into<T>(self) -> Twhere
Self: UniqueSaturatedInto<T>,
T
. Read more§impl<SS, SP> SupersetOf<SS> for SPwhere
SS: SubsetOf<SP>,
impl<SS, SP> SupersetOf<SS> for SPwhere
SS: SubsetOf<SP>,
§fn to_subset(&self) -> Option<SS>
fn to_subset(&self) -> Option<SS>
self
from the equivalent element of its
superset. Read more§fn is_in_subset(&self) -> bool
fn is_in_subset(&self) -> bool
self
is actually part of its subset T
(and can be converted to it).§fn to_subset_unchecked(&self) -> SS
fn to_subset_unchecked(&self) -> SS
self.to_subset
but without any property checks. Always succeeds.§fn from_subset(element: &SS) -> SP
fn from_subset(element: &SS) -> SP
self
to the equivalent element of its superset.§impl<T> Tap for T
impl<T> Tap for T
§fn tap_borrow<B>(self, func: impl FnOnce(&B)) -> Self
fn tap_borrow<B>(self, func: impl FnOnce(&B)) -> Self
Borrow<B>
of a value. Read more§fn tap_borrow_mut<B>(self, func: impl FnOnce(&mut B)) -> Self
fn tap_borrow_mut<B>(self, func: impl FnOnce(&mut B)) -> Self
BorrowMut<B>
of a value. Read more§fn tap_ref<R>(self, func: impl FnOnce(&R)) -> Self
fn tap_ref<R>(self, func: impl FnOnce(&R)) -> Self
AsRef<R>
view of a value. Read more§fn tap_ref_mut<R>(self, func: impl FnOnce(&mut R)) -> Self
fn tap_ref_mut<R>(self, func: impl FnOnce(&mut R)) -> Self
AsMut<R>
view of a value. Read more§fn tap_deref<T>(self, func: impl FnOnce(&T)) -> Self
fn tap_deref<T>(self, func: impl FnOnce(&T)) -> Self
Deref::Target
of a value. Read more§fn tap_deref_mut<T>(self, func: impl FnOnce(&mut T)) -> Self
fn tap_deref_mut<T>(self, func: impl FnOnce(&mut T)) -> Self
Deref::Target
of a value. Read more§fn tap_dbg(self, func: impl FnOnce(&Self)) -> Self
fn tap_dbg(self, func: impl FnOnce(&Self)) -> Self
.tap()
only in debug builds, and is erased in release builds.§fn tap_mut_dbg(self, func: impl FnOnce(&mut Self)) -> Self
fn tap_mut_dbg(self, func: impl FnOnce(&mut Self)) -> Self
.tap_mut()
only in debug builds, and is erased in release
builds.§fn tap_borrow_dbg<B>(self, func: impl FnOnce(&B)) -> Self
fn tap_borrow_dbg<B>(self, func: impl FnOnce(&B)) -> Self
.tap_borrow()
only in debug builds, and is erased in release
builds.§fn tap_borrow_mut_dbg<B>(self, func: impl FnOnce(&mut B)) -> Self
fn tap_borrow_mut_dbg<B>(self, func: impl FnOnce(&mut B)) -> Self
.tap_borrow_mut()
only in debug builds, and is erased in release
builds.§fn tap_ref_dbg<R>(self, func: impl FnOnce(&R)) -> Self
fn tap_ref_dbg<R>(self, func: impl FnOnce(&R)) -> Self
.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
fn tap_ref_mut_dbg<R>(self, func: impl FnOnce(&mut R)) -> Self
.tap_ref_mut()
only in debug builds, and is erased in release
builds.§fn tap_deref_dbg<T>(self, func: impl FnOnce(&T)) -> Self
fn tap_deref_dbg<T>(self, func: impl FnOnce(&T)) -> Self
.tap_deref()
only in debug builds, and is erased in release
builds.§impl<T> TryConv for T
impl<T> TryConv for T
§impl<T, U> TryIntoKey<U> for Twhere
U: TryFromKey<T>,
impl<T, U> TryIntoKey<U> for Twhere
U: TryFromKey<T>,
type Error = <U as TryFromKey<T>>::Error
fn try_into_key(self) -> Result<U, <U as TryFromKey<T>>::Error>
§impl<S, T> UncheckedInto<T> for Swhere
T: UncheckedFrom<S>,
impl<S, T> UncheckedInto<T> for Swhere
T: UncheckedFrom<S>,
§fn unchecked_into(self) -> T
fn unchecked_into(self) -> T
unchecked_from
.§impl<T, S> UniqueSaturatedFrom<T> for S
impl<T, S> UniqueSaturatedFrom<T> for S
§fn unique_saturated_from(t: T) -> S
fn unique_saturated_from(t: T) -> S
T
into an equivalent instance of Self
.§impl<T, S> UniqueSaturatedInto<T> for S
impl<T, S> UniqueSaturatedInto<T> for S
§fn unique_saturated_into(self) -> T
fn unique_saturated_into(self) -> T
T
.