Struct sp_arithmetic::per_things::Permill
source · pub struct Permill(_);
Expand description
A fixed point representation of a number in the range [0, 1].
Parts per Million
Implementations§
source§impl Permill
impl Permill
sourcepub const fn from_parts(parts: u32) -> Self
pub const fn from_parts(parts: u32) -> Self
From an explicitly defined number of parts per maximum of the type.
sourcepub const fn from_percent(x: u32) -> Self
pub const fn from_percent(x: u32) -> Self
Converts a percent into Self
. Equal to x / 100
.
This can be created at compile time.
sourcepub const fn one() -> Self
pub const fn one() -> Self
See PerThing::one
sourcepub fn is_one(&self) -> bool
pub fn is_one(&self) -> bool
See PerThing::is_one
.
sourcepub const fn zero() -> Self
pub const fn zero() -> Self
See PerThing::zero
.
sourcepub fn is_zero(&self) -> bool
pub fn is_zero(&self) -> bool
See PerThing::is_zero
.
sourcepub const fn deconstruct(self) -> u32
pub const fn deconstruct(self) -> u32
sourcepub fn square(self) -> Self
pub fn square(self) -> Self
See PerThing::square
.
sourcepub fn from_float(x: f64) -> Self
pub fn from_float(x: f64) -> Self
See PerThing::from_float
.
sourcepub fn from_rational_approximation<N>(p: N, q: N) -> Selfwhere
N: RationalArg + TryInto<u32> + TryInto<u64>,
u32: Into<N>,
👎Deprecated: Use PerThing::from_rational
instead
pub fn from_rational_approximation<N>(p: N, q: N) -> Selfwhere N: RationalArg + TryInto<u32> + TryInto<u64>, u32: Into<N>,
PerThing::from_rational
insteadsourcepub fn from_rational<N>(p: N, q: N) -> Selfwhere
N: RationalArg + TryInto<u32> + TryInto<u64>,
u32: Into<N>,
pub fn from_rational<N>(p: N, q: N) -> Selfwhere N: RationalArg + TryInto<u32> + TryInto<u64>, u32: Into<N>,
sourcepub fn int_mul(self, b: u32) -> Self
pub fn int_mul(self, b: u32) -> Self
Integer multiplication with another value, saturating at 1.
sourcepub fn mul_floor<N>(self, b: N) -> Nwhere
N: MultiplyArg + UniqueSaturatedInto<u32>,
u32: Into<N>,
pub fn mul_floor<N>(self, b: N) -> Nwhere N: MultiplyArg + UniqueSaturatedInto<u32>, u32: Into<N>,
See PerThing::mul_floor
.
sourcepub fn mul_ceil<N>(self, b: N) -> Nwhere
N: MultiplyArg + UniqueSaturatedInto<u32>,
u32: Into<N>,
pub fn mul_ceil<N>(self, b: N) -> Nwhere N: MultiplyArg + UniqueSaturatedInto<u32>, u32: Into<N>,
See PerThing::mul_ceil
.
sourcepub fn saturating_reciprocal_mul<N>(self, b: N) -> Nwhere
N: ReciprocalArg + UniqueSaturatedInto<u32>,
u32: Into<N>,
pub fn saturating_reciprocal_mul<N>(self, b: N) -> Nwhere N: ReciprocalArg + UniqueSaturatedInto<u32>, u32: Into<N>,
sourcepub fn saturating_reciprocal_mul_floor<N>(self, b: N) -> Nwhere
N: ReciprocalArg + UniqueSaturatedInto<u32>,
u32: Into<N>,
pub fn saturating_reciprocal_mul_floor<N>(self, b: N) -> Nwhere N: ReciprocalArg + UniqueSaturatedInto<u32>, u32: Into<N>,
sourcepub fn saturating_reciprocal_mul_ceil<N>(self, b: N) -> Nwhere
N: ReciprocalArg + UniqueSaturatedInto<u32>,
u32: Into<N>,
pub fn saturating_reciprocal_mul_ceil<N>(self, b: N) -> Nwhere N: ReciprocalArg + UniqueSaturatedInto<u32>, u32: Into<N>,
sourcepub fn saturating_div(self, rhs: Self, r: Rounding) -> Self
pub fn saturating_div(self, rhs: Self, r: Rounding) -> Self
Saturating division. Compute self / rhs
, saturating at one if rhs < self
.
The rounding
method must be specified. e.g.:
let pc = |x| Percent::from_percent(x);
assert_eq!(
pc(2).saturating_div(pc(3), Down),
pc(66),
);
assert_eq!(
pc(1).saturating_div(pc(3), NearestPrefUp),
pc(33),
);
assert_eq!(
pc(2).saturating_div(pc(3), NearestPrefDown),
pc(67),
);
assert_eq!(
pc(1).saturating_div(pc(3), Up),
pc(34),
);
Trait Implementations§
source§impl CheckedAdd for Permill
impl CheckedAdd for Permill
source§fn checked_add(&self, rhs: &Self) -> Option<Self>
fn checked_add(&self, rhs: &Self) -> Option<Self>
None
is
returned.source§impl CheckedMul for Permill
impl CheckedMul for Permill
Note
CheckedMul will never fail for PerThings.
source§fn checked_mul(&self, rhs: &Self) -> Option<Self>
fn checked_mul(&self, rhs: &Self) -> Option<Self>
None
is returned.source§impl CheckedSub for Permill
impl CheckedSub for Permill
source§fn checked_sub(&self, v: &Self) -> Option<Self>
fn checked_sub(&self, v: &Self) -> Option<Self>
None
is returned.source§impl CompactAs for Permill
impl CompactAs for Permill
Implementation makes any compact encoding of PerThing::Inner
valid,
when decoding it will saturate up to PerThing::ACCURACY
.
source§impl Decode for Permill
impl Decode for Permill
source§impl<'de> Deserialize<'de> for Permill
impl<'de> Deserialize<'de> for Permill
source§fn deserialize<__D>(__deserializer: __D) -> Result<Self, __D::Error>where
__D: Deserializer<'de>,
fn deserialize<__D>(__deserializer: __D) -> Result<Self, __D::Error>where __D: Deserializer<'de>,
source§impl Encode for Permill
impl Encode for Permill
source§fn encode_to<__CodecOutputEdqy: Output + ?Sized>(
&self,
__codec_dest_edqy: &mut __CodecOutputEdqy
)
fn encode_to<__CodecOutputEdqy: Output + ?Sized>( &self, __codec_dest_edqy: &mut __CodecOutputEdqy )
source§fn using_encoded<R, F: FnOnce(&[u8]) -> R>(&self, f: F) -> R
fn using_encoded<R, F: FnOnce(&[u8]) -> R>(&self, f: F) -> R
source§fn size_hint(&self) -> usize
fn size_hint(&self) -> usize
source§fn encoded_size(&self) -> usize
fn encoded_size(&self) -> usize
source§impl MaxEncodedLen for Permill
impl MaxEncodedLen for Permill
source§fn max_encoded_len() -> usize
fn max_encoded_len() -> usize
source§impl<N> Mul<N> for Permillwhere
N: Clone + UniqueSaturatedInto<u32> + Rem<N, Output = N> + Div<N, Output = N> + Mul<N, Output = N> + Add<N, Output = N> + Unsigned,
u32: Into<N>,
impl<N> Mul<N> for Permillwhere N: Clone + UniqueSaturatedInto<u32> + Rem<N, Output = N> + Div<N, Output = N> + Mul<N, Output = N> + Add<N, Output = N> + Unsigned, u32: Into<N>,
Non-overflow multiplication.
This is tailored to be used with a balance type.
source§impl Ord for Permill
impl Ord for Permill
source§impl PartialEq<Permill> for Permill
impl PartialEq<Permill> for Permill
source§impl PartialOrd<Permill> for Permill
impl PartialOrd<Permill> for Permill
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 moresource§impl PerThing for Permill
impl PerThing for Permill
source§fn deconstruct(self) -> Self::Inner
fn deconstruct(self) -> Self::Inner
Consume self and return the number of parts per thing.
source§fn from_parts(parts: Self::Inner) -> Self
fn from_parts(parts: Self::Inner) -> Self
Build this type from a number of parts per thing.
source§fn from_float(x: f64) -> Self
fn from_float(x: f64) -> Self
NOTE: saturate to 0 or 1 if x is beyond [0, 1]
§type Upper = u64
type Upper = u64
Self::Inner
, used to avoid overflow in some computations.
It must be able to compute ACCURACY^2
.source§const ACCURACY: Self::Inner = {transmute(0x000f4240): <per_things::Permill as per_things::PerThing>::Inner}
const ACCURACY: Self::Inner = {transmute(0x000f4240): <per_things::Permill as per_things::PerThing>::Inner}
source§fn from_rational_with_rounding<N>(p: N, q: N, r: Rounding) -> Result<Self, ()>where
N: Clone + Ord + TryInto<Self::Inner> + TryInto<Self::Upper> + Div<N, Output = N> + Rem<N, Output = N> + Add<N, Output = N> + AddAssign<N> + Unsigned + Zero + One,
Self::Inner: Into<N>,
fn from_rational_with_rounding<N>(p: N, q: N, r: Rounding) -> Result<Self, ()>where N: Clone + Ord + TryInto<Self::Inner> + TryInto<Self::Upper> + Div<N, Output = N> + Rem<N, Output = N> + Add<N, Output = N> + AddAssign<N> + Unsigned + Zero + One, Self::Inner: Into<N>,
p/q
into a per-thing fraction. Read moresource§fn less_epsilon(self) -> Self
fn less_epsilon(self) -> Self
self
or self
if it is already zero.source§fn try_less_epsilon(self) -> Result<Self, Self>
fn try_less_epsilon(self) -> Result<Self, Self>
self
or an error with the same value if self
is already
zero.source§fn plus_epsilon(self) -> Self
fn plus_epsilon(self) -> Self
self
or self
if it is already one.source§fn try_plus_epsilon(self) -> Result<Self, Self>
fn try_plus_epsilon(self) -> Result<Self, Self>
self
or an error with the same value if self
is already
one.source§fn from_percent(x: Self::Inner) -> Self
fn from_percent(x: Self::Inner) -> Self
Self::from_parts(x * Self::ACCURACY / 100)
but more accurate and can cope with potential type overflows.source§fn left_from_one(self) -> Self
fn left_from_one(self) -> Self
self
is saturating-subtracted from Self::one()
.source§fn mul_floor<N>(self, b: N) -> Nwhere
N: MultiplyArg + UniqueSaturatedInto<Self::Inner>,
Self::Inner: Into<N>,
fn mul_floor<N>(self, b: N) -> Nwhere N: MultiplyArg + UniqueSaturatedInto<Self::Inner>, Self::Inner: Into<N>,
Mul
rounds to the
nearest whole number. Read moresource§fn mul_ceil<N>(self, b: N) -> Nwhere
N: MultiplyArg + UniqueSaturatedInto<Self::Inner>,
Self::Inner: Into<N>,
fn mul_ceil<N>(self, b: N) -> Nwhere N: MultiplyArg + UniqueSaturatedInto<Self::Inner>, Self::Inner: Into<N>,
Mul
rounds to the nearest whole number. Read moresource§fn saturating_reciprocal_mul<N>(self, b: N) -> Nwhere
N: ReciprocalArg + UniqueSaturatedInto<Self::Inner>,
Self::Inner: Into<N>,
fn saturating_reciprocal_mul<N>(self, b: N) -> Nwhere N: ReciprocalArg + UniqueSaturatedInto<Self::Inner>, Self::Inner: Into<N>,
self
. The result is rounded to the
nearest whole number and saturates at the numeric bounds instead of overflowing. Read moresource§fn saturating_reciprocal_mul_floor<N>(self, b: N) -> Nwhere
N: ReciprocalArg + UniqueSaturatedInto<Self::Inner>,
Self::Inner: Into<N>,
fn saturating_reciprocal_mul_floor<N>(self, b: N) -> Nwhere N: ReciprocalArg + UniqueSaturatedInto<Self::Inner>, Self::Inner: Into<N>,
self
. The result is rounded down to the
nearest whole number and saturates at the numeric bounds instead of overflowing. Read moresource§fn saturating_reciprocal_mul_ceil<N>(self, b: N) -> Nwhere
N: ReciprocalArg + UniqueSaturatedInto<Self::Inner>,
Self::Inner: Into<N>,
fn saturating_reciprocal_mul_ceil<N>(self, b: N) -> Nwhere N: ReciprocalArg + UniqueSaturatedInto<Self::Inner>, Self::Inner: Into<N>,
self
. The result is rounded up to the
nearest whole number and saturates at the numeric bounds instead of overflowing. Read moresource§fn from_rational<N>(p: N, q: N) -> Selfwhere
N: RationalArg + TryInto<Self::Inner> + TryInto<Self::Upper>,
Self::Inner: Into<N>,
fn from_rational<N>(p: N, q: N) -> Selfwhere N: RationalArg + TryInto<Self::Inner> + TryInto<Self::Upper>, Self::Inner: Into<N>,
p/q
into a per-thing fraction. This will never overflow. Read moresource§fn from_rational_approximation<N>(p: N, q: N) -> Selfwhere
N: RationalArg + TryInto<Self::Inner> + TryInto<Self::Upper>,
Self::Inner: Into<N>,
fn from_rational_approximation<N>(p: N, q: N) -> Selfwhere N: RationalArg + TryInto<Self::Inner> + TryInto<Self::Upper>, Self::Inner: Into<N>,
Self::from_rational
.source§impl Saturating for Permill
impl Saturating for Permill
source§fn saturating_add(self, rhs: Self) -> Self
fn saturating_add(self, rhs: Self) -> Self
Saturating addition. Compute self + rhs
, saturating at the numeric bounds instead of
overflowing. This operation is lossless if it does not saturate.
source§fn saturating_sub(self, rhs: Self) -> Self
fn saturating_sub(self, rhs: Self) -> Self
Saturating subtraction. Compute self - rhs
, saturating at the numeric bounds instead of
overflowing. This operation is lossless if it does not saturate.
source§fn saturating_mul(self, rhs: Self) -> Self
fn saturating_mul(self, rhs: Self) -> Self
Saturating multiply. Compute self * rhs
, saturating at the numeric bounds instead of
overflowing. This operation is lossy.
source§fn saturating_pow(self, exp: usize) -> Self
fn saturating_pow(self, exp: usize) -> Self
Saturating exponentiation. Computes self.pow(exp)
, saturating at the numeric
bounds instead of overflowing. This operation is lossy.
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 SaturatingAdd for Permill
impl SaturatingAdd for Permill
source§fn saturating_add(&self, v: &Self) -> Self
fn saturating_add(&self, v: &Self) -> Self
self + other
, saturating at the relevant high or low boundary of
the type.source§impl SaturatingSub for Permill
impl SaturatingSub for Permill
source§fn saturating_sub(&self, v: &Self) -> Self
fn saturating_sub(&self, v: &Self) -> Self
self - other
, saturating at the relevant high or low boundary of
the type.impl Copy for Permill
impl EncodeLike<Permill> for Permill
impl Eq for Permill
impl StructuralEq for Permill
impl StructuralPartialEq for Permill
Auto Trait Implementations§
impl RefUnwindSafe for Permill
impl Send for Permill
impl Sync for Permill
impl Unpin for Permill
impl UnwindSafe for Permill
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> 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 Twhere
T: CheckedAdd + PartialOrd<T> + Zero,
impl<T> EnsureAddAssign for Twhere T: CheckedAdd + PartialOrd<T> + Zero,
source§fn ensure_add_assign(&mut self, v: Self) -> Result<(), ArithmeticError>
fn ensure_add_assign(&mut self, v: Self) -> Result<(), ArithmeticError>
source§impl<T, S> EnsureFrom<S> for Twhere
T: TryFrom<S> + PartialOrd<T> + Zero,
S: PartialOrd<S> + Zero,
impl<T, S> EnsureFrom<S> for Twhere T: TryFrom<S> + PartialOrd<T> + Zero, S: PartialOrd<S> + Zero,
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 Twhere
T: TryInto<S> + PartialOrd<T> + Zero,
S: PartialOrd<S> + Zero,
impl<T, S> EnsureInto<S> for Twhere T: TryInto<S> + PartialOrd<T> + Zero, S: PartialOrd<S> + Zero,
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 Twhere
T: CheckedMul + PartialOrd<T> + Zero,
impl<T> EnsureMulAssign for Twhere T: CheckedMul + PartialOrd<T> + Zero,
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 Twhere
T: CheckedSub + PartialOrd<T> + Zero,
impl<T> EnsureSubAssign for Twhere T: CheckedSub + PartialOrd<T> + Zero,
source§fn ensure_sub_assign(&mut self, v: Self) -> Result<(), ArithmeticError>
fn ensure_sub_assign(&mut self, v: Self) -> Result<(), ArithmeticError>
source§impl<T> FmtForward for T
impl<T> FmtForward for T
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Self: Binary,
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to use its Binary
implementation when Debug
-formatted.source§fn fmt_display(self) -> FmtDisplay<Self>where
Self: Display,
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self
to use its Display
implementation when
Debug
-formatted.source§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.source§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.source§fn fmt_octal(self) -> FmtOctal<Self>where
Self: Octal,
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-formatted.source§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.source§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.source§fn fmt_upper_hex(self) -> FmtUpperHex<Self>where
Self: UpperHex,
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self
to use its UpperHex
implementation when
Debug
-formatted.source§impl<T> HasCompact for Twhere
T: 'static,
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impl<T> HasCompact for Twhere T: 'static, Compact<T>: for<'a> EncodeAsRef<'a, T> + Decode + From<T> + Into<T>,
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T: Bounded,
impl<T> LowerBounded for Twhere T: Bounded,
source§impl<T> Pipe for Twhere
T: ?Sized,
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&'a mut self,
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) -> Rwhere
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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
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T
. Read moresource§impl<T> Tap for T
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of a value. Read moresource§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.source§fn tap_mut_dbg(self, func: impl FnOnce(&mut Self)) -> Self
fn tap_mut_dbg(self, func: impl FnOnce(&mut Self)) -> Self
.tap_mut()
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builds.source§fn tap_borrow_dbg<B>(self, func: impl FnOnce(&B)) -> Selfwhere
Self: Borrow<B>,
B: ?Sized,
fn tap_borrow_dbg<B>(self, func: impl FnOnce(&B)) -> Selfwhere Self: Borrow<B>, B: ?Sized,
.tap_borrow()
only in debug builds, and is erased in release
builds.source§fn tap_borrow_mut_dbg<B>(self, func: impl FnOnce(&mut B)) -> Selfwhere
Self: BorrowMut<B>,
B: ?Sized,
fn tap_borrow_mut_dbg<B>(self, func: impl FnOnce(&mut B)) -> Selfwhere Self: BorrowMut<B>, B: ?Sized,
.tap_borrow_mut()
only in debug builds, and is erased in release
builds.source§fn tap_ref_dbg<R>(self, func: impl FnOnce(&R)) -> Selfwhere
Self: AsRef<R>,
R: ?Sized,
fn tap_ref_dbg<R>(self, func: impl FnOnce(&R)) -> Selfwhere Self: AsRef<R>, R: ?Sized,
.tap_ref()
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builds.source§fn tap_ref_mut_dbg<R>(self, func: impl FnOnce(&mut R)) -> Selfwhere
Self: AsMut<R>,
R: ?Sized,
fn tap_ref_mut_dbg<R>(self, func: impl FnOnce(&mut R)) -> Selfwhere Self: AsMut<R>, R: ?Sized,
.tap_ref_mut()
only in debug builds, and is erased in release
builds.source§impl<T> ThresholdOrd<T> for Twhere
T: Ord + PartialOrd<T> + Copy + Clone + Zero + Saturating,
impl<T> ThresholdOrd<T> for Twhere T: Ord + PartialOrd<T> + Copy + Clone + Zero + Saturating,
source§impl<T, S> UniqueSaturatedFrom<T> for Swhere
S: TryFrom<T> + Bounded,
impl<T, S> UniqueSaturatedFrom<T> for Swhere S: TryFrom<T> + Bounded,
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 Swhere
T: Bounded,
S: TryInto<T>,
impl<T, S> UniqueSaturatedInto<T> for Swhere T: Bounded, S: TryInto<T>,
source§fn unique_saturated_into(self) -> T
fn unique_saturated_into(self) -> T
T
.