pub struct FixedI128(/* private fields */);
Expand description
Re-export top-level arithmetic stuff. A fixed point number representation in the range. Fixed Point 128 bits signed, range = [-170141183460469231731.687303715884105728, 170141183460469231731.687303715884105727]
Implementations§
source§impl FixedI128
impl FixedI128
sourcepub const fn from_inner(inner: i128) -> FixedI128
pub const fn from_inner(inner: i128) -> FixedI128
Create a new instance from the given inner
value.
const
version of FixedPointNumber::from_inner
.
sourcepub const fn into_inner(self) -> i128
pub const fn into_inner(self) -> i128
Return the instance’s inner value.
const
version of FixedPointNumber::into_inner
.
sourcepub const fn from_u32(n: u32) -> FixedI128
pub const fn from_u32(n: u32) -> FixedI128
Creates self from a u32
.
WARNING: This is a const
function designed for convenient use at build time and
will panic on overflow. Ensure that any inputs are sensible.
sourcepub fn from_float(x: f64) -> FixedI128
pub fn from_float(x: f64) -> FixedI128
Convert from a float
value.
sourcepub const fn from_perbill(n: Perbill) -> FixedI128
pub const fn from_perbill(n: Perbill) -> FixedI128
Convert from a Perbill
value.
sourcepub const fn into_perbill(self) -> Perbill
pub const fn into_perbill(self) -> Perbill
Convert into a Perbill
value. Will saturate if above one or below zero.
sourcepub fn try_into_perthing<P>(self) -> Result<P, P>where
P: PerThing,
pub fn try_into_perthing<P>(self) -> Result<P, P>where
P: PerThing,
Attempt to convert into a PerThing
. This will succeed iff self
is at least zero
and at most one. If it is out of bounds, it will result in an error returning the
clamped value.
sourcepub fn into_clamped_perthing<P>(self) -> Pwhere
P: PerThing,
pub fn into_clamped_perthing<P>(self) -> Pwhere
P: PerThing,
Attempt to convert into a PerThing
. This will always succeed resulting in a
clamped value if self
is less than zero or greater than one.
sourcepub const fn neg(self) -> FixedI128
pub const fn neg(self) -> FixedI128
Negate the value.
WARNING: This is a const
function designed for convenient use at build time and
will panic on overflow. Ensure that any inputs are sensible.
sourcepub const fn sqrt(self) -> FixedI128
pub const fn sqrt(self) -> FixedI128
Take the square root of a positive value.
WARNING: This is a const
function designed for convenient use at build time and
will panic on overflow. Ensure that any inputs are sensible.
sourcepub const fn try_sqrt(self) -> Option<FixedI128>
pub const fn try_sqrt(self) -> Option<FixedI128>
Compute the square root, rounding as desired. If it overflows or is negative, then
None
is returned.
sourcepub const fn add(self, rhs: FixedI128) -> FixedI128
pub const fn add(self, rhs: FixedI128) -> FixedI128
Add a value and return the result.
WARNING: This is a const
function designed for convenient use at build time and
will panic on overflow. Ensure that any inputs are sensible.
sourcepub const fn sub(self, rhs: FixedI128) -> FixedI128
pub const fn sub(self, rhs: FixedI128) -> FixedI128
Subtract a value and return the result.
WARNING: This is a const
function designed for convenient use at build time and
will panic on overflow. Ensure that any inputs are sensible.
sourcepub const fn mul(self, rhs: FixedI128) -> FixedI128
pub const fn mul(self, rhs: FixedI128) -> FixedI128
Multiply by a value and return the result.
Result will be rounded to the nearest representable value, rounding down if it is equidistant between two neighbours.
WARNING: This is a const
function designed for convenient use at build time and
will panic on overflow. Ensure that any inputs are sensible.
sourcepub const fn div(self, rhs: FixedI128) -> FixedI128
pub const fn div(self, rhs: FixedI128) -> FixedI128
Divide by a value and return the result.
Result will be rounded to the nearest representable value, rounding down if it is equidistant between two neighbours.
WARNING: This is a const
function designed for convenient use at build time and
will panic on overflow. Ensure that any inputs are sensible.
sourcepub const fn from_rational(a: u128, b: u128) -> FixedI128
pub const fn from_rational(a: u128, b: u128) -> FixedI128
Calculate an approximation of a rational.
Result will be rounded to the nearest representable value, rounding down if it is equidistant between two neighbours.
WARNING: This is a const
function designed for convenient use at build time and
will panic on overflow. Ensure that any inputs are sensible.
sourcepub const fn from_rational_with_rounding(
a: u128,
b: u128,
rounding: Rounding,
) -> FixedI128
pub const fn from_rational_with_rounding( a: u128, b: u128, rounding: Rounding, ) -> FixedI128
Calculate an approximation of a rational with custom rounding.
WARNING: This is a const
function designed for convenient use at build time and
will panic on overflow. Ensure that any inputs are sensible.
sourcepub const fn const_checked_mul(self, other: FixedI128) -> Option<FixedI128>
pub const fn const_checked_mul(self, other: FixedI128) -> Option<FixedI128>
Multiply by another value, returning None
in the case of an error.
Result will be rounded to the nearest representable value, rounding down if it is equidistant between two neighbours.
sourcepub const fn const_checked_mul_with_rounding(
self,
other: FixedI128,
rounding: SignedRounding,
) -> Option<FixedI128>
pub const fn const_checked_mul_with_rounding( self, other: FixedI128, rounding: SignedRounding, ) -> Option<FixedI128>
Multiply by another value with custom rounding, returning None
in the case of an
error.
Result will be rounded to the nearest representable value, rounding down if it is equidistant between two neighbours.
sourcepub const fn const_checked_div(self, other: FixedI128) -> Option<FixedI128>
pub const fn const_checked_div(self, other: FixedI128) -> Option<FixedI128>
Divide by another value, returning None
in the case of an error.
Result will be rounded to the nearest representable value, rounding down if it is equidistant between two neighbours.
sourcepub const fn checked_rounding_div(
self,
other: FixedI128,
rounding: SignedRounding,
) -> Option<FixedI128>
pub const fn checked_rounding_div( self, other: FixedI128, rounding: SignedRounding, ) -> Option<FixedI128>
Divide by another value with custom rounding, returning None
in the case of an
error.
Result will be rounded to the nearest representable value, rounding down if it is equidistant between two neighbours.
Trait Implementations§
source§impl CheckedAdd for FixedI128
impl CheckedAdd for FixedI128
source§impl CheckedDiv for FixedI128
impl CheckedDiv for FixedI128
source§impl CheckedMul for FixedI128
impl CheckedMul for FixedI128
source§impl CheckedSub for FixedI128
impl CheckedSub for FixedI128
source§impl Decode for FixedI128
impl Decode for FixedI128
source§fn decode<__CodecInputEdqy>(
__codec_input_edqy: &mut __CodecInputEdqy,
) -> Result<FixedI128, Error>where
__CodecInputEdqy: Input,
fn decode<__CodecInputEdqy>(
__codec_input_edqy: &mut __CodecInputEdqy,
) -> Result<FixedI128, Error>where
__CodecInputEdqy: Input,
source§fn decode_into<I>(
input: &mut I,
dst: &mut MaybeUninit<Self>,
) -> Result<DecodeFinished, Error>where
I: Input,
fn decode_into<I>(
input: &mut I,
dst: &mut MaybeUninit<Self>,
) -> Result<DecodeFinished, Error>where
I: Input,
source§impl<'de> Deserialize<'de> for FixedI128
impl<'de> Deserialize<'de> for FixedI128
source§fn deserialize<D>(
deserializer: D,
) -> Result<FixedI128, <D as Deserializer<'de>>::Error>where
D: Deserializer<'de>,
fn deserialize<D>(
deserializer: D,
) -> Result<FixedI128, <D as Deserializer<'de>>::Error>where
D: Deserializer<'de>,
source§impl Encode for FixedI128
impl Encode for FixedI128
source§fn size_hint(&self) -> usize
fn size_hint(&self) -> usize
source§fn encode_to<__CodecOutputEdqy>(
&self,
__codec_dest_edqy: &mut __CodecOutputEdqy,
)
fn encode_to<__CodecOutputEdqy>( &self, __codec_dest_edqy: &mut __CodecOutputEdqy, )
source§fn using_encoded<__CodecOutputReturn, __CodecUsingEncodedCallback>(
&self,
f: __CodecUsingEncodedCallback,
) -> __CodecOutputReturn
fn using_encoded<__CodecOutputReturn, __CodecUsingEncodedCallback>( &self, f: __CodecUsingEncodedCallback, ) -> __CodecOutputReturn
source§fn encoded_size(&self) -> usize
fn encoded_size(&self) -> usize
source§impl FixedPointNumber for FixedI128
impl FixedPointNumber for FixedI128
source§const DIV: <FixedI128 as FixedPointNumber>::Inner = {transmute(0x00000000000000000de0b6b3a7640000): <sp_arithmetic::FixedI128 as sp_arithmetic::FixedPointNumber>::Inner}
const DIV: <FixedI128 as FixedPointNumber>::Inner = {transmute(0x00000000000000000de0b6b3a7640000): <sp_arithmetic::FixedI128 as sp_arithmetic::FixedPointNumber>::Inner}
10
.source§fn from_inner(inner: <FixedI128 as FixedPointNumber>::Inner) -> FixedI128
fn from_inner(inner: <FixedI128 as FixedPointNumber>::Inner) -> FixedI128
source§fn into_inner(self) -> <FixedI128 as FixedPointNumber>::Inner
fn into_inner(self) -> <FixedI128 as FixedPointNumber>::Inner
self
and returns the inner raw value.source§fn saturating_from_integer<N>(int: N) -> Selfwhere
N: FixedPointOperand,
fn saturating_from_integer<N>(int: N) -> Selfwhere
N: FixedPointOperand,
int
. Read moresource§fn checked_from_integer<N>(int: N) -> Option<Self>
fn checked_from_integer<N>(int: N) -> Option<Self>
source§fn saturating_from_rational<N, D>(n: N, d: D) -> Selfwhere
N: FixedPointOperand,
D: FixedPointOperand,
fn saturating_from_rational<N, D>(n: N, d: D) -> Selfwhere
N: FixedPointOperand,
D: FixedPointOperand,
source§fn checked_from_rational<N, D>(n: N, d: D) -> Option<Self>where
N: FixedPointOperand,
D: FixedPointOperand,
fn checked_from_rational<N, D>(n: N, d: D) -> Option<Self>where
N: FixedPointOperand,
D: FixedPointOperand,
source§fn checked_mul_int<N>(self, n: N) -> Option<N>where
N: FixedPointOperand,
fn checked_mul_int<N>(self, n: N) -> Option<N>where
N: FixedPointOperand,
source§fn saturating_mul_int<N>(self, n: N) -> Nwhere
N: FixedPointOperand,
fn saturating_mul_int<N>(self, n: N) -> Nwhere
N: FixedPointOperand,
source§fn checked_div_int<N>(self, d: N) -> Option<N>where
N: FixedPointOperand,
fn checked_div_int<N>(self, d: N) -> Option<N>where
N: FixedPointOperand,
source§fn saturating_div_int<N>(self, d: N) -> Nwhere
N: FixedPointOperand,
fn saturating_div_int<N>(self, d: N) -> Nwhere
N: FixedPointOperand,
source§fn saturating_mul_acc_int<N>(self, n: N) -> Nwhere
N: FixedPointOperand,
fn saturating_mul_acc_int<N>(self, n: N) -> Nwhere
N: FixedPointOperand,
N
, adding the result back.
Equal to self * n + n
. Read moresource§fn saturating_abs(self) -> Self
fn saturating_abs(self) -> Self
source§fn reciprocal(self) -> Option<Self>
fn reciprocal(self) -> Option<Self>
1 / self
. Read moresource§fn is_positive(self) -> bool
fn is_positive(self) -> bool
true
if self
is positive and false
if the number is zero or negative.source§fn is_negative(self) -> bool
fn is_negative(self) -> bool
true
if self
is negative and false
if the number is zero or positive.source§impl<N, D> From<(N, D)> for FixedI128where
N: FixedPointOperand,
D: FixedPointOperand,
impl<N, D> From<(N, D)> for FixedI128where
N: FixedPointOperand,
D: FixedPointOperand,
source§impl MaxEncodedLen for FixedI128
impl MaxEncodedLen for FixedI128
source§fn max_encoded_len() -> usize
fn max_encoded_len() -> usize
source§impl Ord for FixedI128
impl Ord for FixedI128
source§impl PartialOrd for FixedI128
impl PartialOrd for FixedI128
source§impl Saturating for FixedI128
impl Saturating for FixedI128
source§fn saturating_add(self, rhs: FixedI128) -> FixedI128
fn saturating_add(self, rhs: FixedI128) -> FixedI128
self + rhs
, saturating at the numeric bounds instead of
overflowing.source§fn saturating_sub(self, rhs: FixedI128) -> FixedI128
fn saturating_sub(self, rhs: FixedI128) -> FixedI128
self - rhs
, saturating at the numeric bounds instead of
overflowing.source§fn saturating_mul(self, rhs: FixedI128) -> FixedI128
fn saturating_mul(self, rhs: FixedI128) -> FixedI128
self * rhs
, saturating at the numeric bounds instead of
overflowing.source§fn saturating_pow(self, exp: usize) -> FixedI128
fn saturating_pow(self, exp: usize) -> FixedI128
self.pow(exp)
, saturating at the numeric bounds
instead of overflowing.source§fn saturating_less_one(self) -> Selfwhere
Self: One,
fn saturating_less_one(self) -> Selfwhere
Self: One,
source§fn saturating_plus_one(self) -> Selfwhere
Self: One,
fn saturating_plus_one(self) -> Selfwhere
Self: One,
source§fn saturating_inc(&mut self)where
Self: One,
fn saturating_inc(&mut self)where
Self: One,
source§fn saturating_dec(&mut self)where
Self: One,
fn saturating_dec(&mut self)where
Self: One,
source§fn saturating_accrue(&mut self, amount: Self)where
Self: One,
fn saturating_accrue(&mut self, amount: Self)where
Self: One,
amount
, saturating.source§fn saturating_reduce(&mut self, amount: Self)where
Self: One,
fn saturating_reduce(&mut self, amount: Self)where
Self: One,
amount
, saturating at zero.source§impl Serialize for FixedI128
impl Serialize for FixedI128
source§fn serialize<S>(
&self,
serializer: S,
) -> Result<<S as Serializer>::Ok, <S as Serializer>::Error>where
S: Serializer,
fn serialize<S>(
&self,
serializer: S,
) -> Result<<S as Serializer>::Ok, <S as Serializer>::Error>where
S: Serializer,
impl Copy for FixedI128
impl EncodeLike for FixedI128
impl Eq for FixedI128
impl StructuralPartialEq for FixedI128
Auto Trait Implementations§
impl Freeze for FixedI128
impl RefUnwindSafe for FixedI128
impl Send for FixedI128
impl Sync for FixedI128
impl Unpin for FixedI128
impl UnwindSafe for FixedI128
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
source§impl<T> CheckedConversion for T
impl<T> CheckedConversion for T
source§impl<T> CloneToUninit for Twhere
T: Clone,
impl<T> CloneToUninit for Twhere
T: Clone,
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> DecodeLimit for Twhere
T: Decode,
impl<T> DecodeLimit for Twhere
T: Decode,
source§impl<T> EnsureAdd for Twhere
T: EnsureAddAssign,
impl<T> EnsureAdd for Twhere
T: EnsureAddAssign,
source§fn ensure_add(self, v: Self) -> Result<Self, ArithmeticError>
fn ensure_add(self, v: Self) -> Result<Self, ArithmeticError>
source§impl<T> EnsureAddAssign for T
impl<T> EnsureAddAssign for T
source§fn ensure_add_assign(&mut self, v: Self) -> Result<(), ArithmeticError>
fn ensure_add_assign(&mut self, v: Self) -> Result<(), ArithmeticError>
source§impl<T> EnsureDiv for Twhere
T: EnsureDivAssign,
impl<T> EnsureDiv for Twhere
T: EnsureDivAssign,
source§fn ensure_div(self, v: Self) -> Result<Self, ArithmeticError>
fn ensure_div(self, v: Self) -> Result<Self, ArithmeticError>
source§impl<T> EnsureDivAssign for T
impl<T> EnsureDivAssign for T
source§fn ensure_div_assign(&mut self, v: Self) -> Result<(), ArithmeticError>
fn ensure_div_assign(&mut self, v: Self) -> Result<(), ArithmeticError>
source§impl<T> EnsureFixedPointNumber for Twhere
T: FixedPointNumber,
impl<T> EnsureFixedPointNumber for Twhere
T: FixedPointNumber,
source§fn ensure_from_rational<N, D>(n: N, d: D) -> Result<Self, ArithmeticError>where
N: FixedPointOperand,
D: FixedPointOperand,
fn ensure_from_rational<N, D>(n: N, d: D) -> Result<Self, ArithmeticError>where
N: FixedPointOperand,
D: FixedPointOperand,
source§fn ensure_mul_int<N>(self, n: N) -> Result<N, ArithmeticError>where
N: FixedPointOperand,
fn ensure_mul_int<N>(self, n: N) -> Result<N, ArithmeticError>where
N: FixedPointOperand,
source§fn ensure_div_int<D>(self, d: D) -> Result<D, ArithmeticError>where
D: FixedPointOperand,
fn ensure_div_int<D>(self, d: D) -> Result<D, ArithmeticError>where
D: FixedPointOperand,
source§impl<T, S> EnsureFrom<S> for T
impl<T, S> EnsureFrom<S> for T
source§fn ensure_from(other: T) -> Result<Self, ArithmeticError>
fn ensure_from(other: T) -> Result<Self, ArithmeticError>
ArithmeticError
if fails. Read moresource§impl<T, S> EnsureInto<S> for T
impl<T, S> EnsureInto<S> for T
source§fn ensure_into(self) -> Result<T, ArithmeticError>
fn ensure_into(self) -> Result<T, ArithmeticError>
ArithmeticError
if fails. Read moresource§impl<T> EnsureMul for Twhere
T: EnsureMulAssign,
impl<T> EnsureMul for Twhere
T: EnsureMulAssign,
source§fn ensure_mul(self, v: Self) -> Result<Self, ArithmeticError>
fn ensure_mul(self, v: Self) -> Result<Self, ArithmeticError>
source§impl<T> EnsureMulAssign for T
impl<T> EnsureMulAssign for T
source§fn ensure_mul_assign(&mut self, v: Self) -> Result<(), ArithmeticError>
fn ensure_mul_assign(&mut self, v: Self) -> Result<(), ArithmeticError>
source§impl<T> EnsureSub for Twhere
T: EnsureSubAssign,
impl<T> EnsureSub for Twhere
T: EnsureSubAssign,
source§fn ensure_sub(self, v: Self) -> Result<Self, ArithmeticError>
fn ensure_sub(self, v: Self) -> Result<Self, ArithmeticError>
source§impl<T> EnsureSubAssign for T
impl<T> EnsureSubAssign for T
source§fn ensure_sub_assign(&mut self, v: Self) -> Result<(), ArithmeticError>
fn ensure_sub_assign(&mut self, v: Self) -> Result<(), ArithmeticError>
source§impl<Q, K> Equivalent<K> for Q
impl<Q, K> Equivalent<K> for Q
source§impl<Q, K> Equivalent<K> for Q
impl<Q, K> Equivalent<K> for Q
source§impl<T> Instrument for T
impl<T> Instrument for T
source§fn instrument(self, span: Span) -> Instrumented<Self>
fn instrument(self, span: Span) -> Instrumented<Self>
source§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 moresource§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,
source§impl<T> SaturatedConversion for T
impl<T> SaturatedConversion for T
source§fn saturated_from<T>(t: T) -> Selfwhere
Self: UniqueSaturatedFrom<T>,
fn saturated_from<T>(t: T) -> Selfwhere
Self: UniqueSaturatedFrom<T>,
source§fn saturated_into<T>(self) -> Twhere
Self: UniqueSaturatedInto<T>,
fn saturated_into<T>(self) -> Twhere
Self: UniqueSaturatedInto<T>,
T
. Read moresource§impl<T> ThresholdOrd<T> for T
impl<T> ThresholdOrd<T> for T
source§impl<S, T> UncheckedInto<T> for Swhere
T: UncheckedFrom<S>,
impl<S, T> UncheckedInto<T> for Swhere
T: UncheckedFrom<S>,
source§fn unchecked_into(self) -> T
fn unchecked_into(self) -> T
unchecked_from
.source§impl<T, S> UniqueSaturatedFrom<T> for S
impl<T, S> UniqueSaturatedFrom<T> for S
source§fn unique_saturated_from(t: T) -> S
fn unique_saturated_from(t: T) -> S
T
into an equivalent instance of Self
.source§impl<T, S> UniqueSaturatedInto<T> for S
impl<T, S> UniqueSaturatedInto<T> for S
source§fn unique_saturated_into(self) -> T
fn unique_saturated_into(self) -> T
T
.