Struct sp_arithmetic::per_things::PerU16

pub struct PerU16(/* private fields */);

A fixed point representation of a number in the range [0, 1].

Parts per 65535

Implementations

impl PerU16

pub const fn from_parts(parts: u16) -> Self

From an explicitly defined number of parts per maximum of the type.

pub const fn from_percent(x: u16) -> Self

Converts a percent into Self. Equal to x / 100.

This can be created at compile time.

pub const fn one() -> Self

See PerThing::one

pub fn is_one(&self) -> bool

See PerThing::is_one.

pub const fn zero() -> Self

See PerThing::zero.

pub fn is_zero(&self) -> bool

See PerThing::is_zero.

pub const fn deconstruct(self) -> u16

See PerThing::deconstruct.

pub fn square(self) -> Self

See PerThing::square.

pub fn from_float(x: f64) -> Self

See PerThing::from_float.

pub fn from_rational_approximation<N>(p: N, q: N) -> Selfwhere N: RationalArg + TryInto<u16> + TryInto<u32>, u16: Into<N>,

👎Deprecated: Use PerThing::from_rational instead

See PerThing::from_rational.

pub fn from_rational<N>(p: N, q: N) -> Selfwhere N: RationalArg + TryInto<u16> + TryInto<u32>, u16: Into<N>,

See PerThing::from_rational.

pub fn int_mul(self, b: u16) -> Self

Integer multiplication with another value, saturating at 1.

pub fn int_div(self, b: Self) -> u16

Integer division with another value, rounding down.

pub fn mul_floor<N>(self, b: N) -> Nwhere N: MultiplyArg + UniqueSaturatedInto<u16>, u16: Into<N>,

See PerThing::mul_floor.

pub fn mul_ceil<N>(self, b: N) -> Nwhere N: MultiplyArg + UniqueSaturatedInto<u16>, u16: Into<N>,

See PerThing::mul_ceil.

pub fn saturating_reciprocal_mul<N>(self, b: N) -> Nwhere N: ReciprocalArg + UniqueSaturatedInto<u16>, u16: Into<N>,

See PerThing::saturating_reciprocal_mul.

pub fn saturating_reciprocal_mul_floor<N>(self, b: N) -> Nwhere N: ReciprocalArg + UniqueSaturatedInto<u16>, u16: Into<N>,

See PerThing::saturating_reciprocal_mul_floor.

pub fn saturating_reciprocal_mul_ceil<N>(self, b: N) -> Nwhere N: ReciprocalArg + UniqueSaturatedInto<u16>, u16: Into<N>,

See PerThing::saturating_reciprocal_mul_ceil.

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),
);

impl PerU16

pub const fn from_perthousand(x: u16) -> Self

Converts a percent into Self. Equal to x / 1000.

This can be created at compile time.

Trait Implementations

impl Add for PerU16

type Output = PerU16

The resulting type after applying the + operator.

fn add(self, rhs: Self) -> Self::Output

Performs the + operation.

impl Bounded for PerU16

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 CheckedAdd for PerU16

fn checked_add(&self, rhs: &Self) -> Option<Self>

Adds two numbers, checking for overflow. If overflow happens, None is returned.

impl CheckedMul for PerU16

Note

CheckedMul will never fail for PerThings.

fn checked_mul(&self, rhs: &Self) -> Option<Self>

Multiplies two numbers, checking for underflow or overflow. If underflow or overflow happens, None is returned.

impl CheckedSub for PerU16

fn checked_sub(&self, v: &Self) -> Option<Self>

Subtracts two numbers, checking for underflow. If underflow happens, None is returned.

impl Clone for PerU16

fn clone(&self) -> PerU16

Returns a copy of the value.

fn clone_from(&mut self, source: &Self)

Performs copy-assignment from source.

impl CompactAs for PerU16

Implementation makes any compact encoding of PerThing::Inner valid, when decoding it will saturate up to PerThing::ACCURACY.

type As = u16

A compact-encodable type that should be used as the encoding.

fn encode_as(&self) -> &Self::As

Returns the compact-encodable type.

fn decode_from(x: Self::As) -> Result<Self, Error>

Decode Self from the compact-decoded type.

impl Debug for PerU16

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

Formats the value using the given formatter.

impl Decode for PerU16

fn decode<I: Input>(input: &mut I) -> Result<Self, Error>

Attempt to deserialise the value from input.

fn decode_into<I>( input: &mut I, dst: &mut MaybeUninit<Self> ) -> Result<DecodeFinished, Error>where I: Input,

Attempt to deserialize the value from input into a pre-allocated piece of memory.

fn skip<I>(input: &mut I) -> Result<(), Error>where I: Input,

Attempt to skip the encoded value from input.

fn encoded_fixed_size() -> Option<usize>

Returns the fixed encoded size of the type.

impl Default for PerU16

fn default() -> Self

Returns the “default value” for a type.

impl<'de> Deserialize<'de> for PerU16

fn deserialize<__D>(__deserializer: __D) -> Result<Self, __D::Error>where __D: Deserializer<'de>,

Deserialize this value from the given Serde deserializer.

impl<N> Div<N> for PerU16where u16: TryFrom<N>,

type Output = PerU16

The resulting type after applying the / operator.

fn div(self, b: N) -> Self::Output

Performs the / operation.

impl Div for PerU16

type Output = PerU16

The resulting type after applying the / operator.

fn div(self, rhs: Self) -> Self::Output

Performs the / operation.

impl Encode for PerU16

fn size_hint(&self) -> usize

If possible give a hint of expected size of the encoding.

fn encode_to<__CodecOutputEdqy: Output + ?Sized>( &self, __codec_dest_edqy: &mut __CodecOutputEdqy )

Convert self to a slice and append it to the destination.

fn encode(&self) -> Vec<u8>

Convert self to an owned vector.

fn using_encoded<R, F: FnOnce(&[u8]) -> R>(&self, f: F) -> R

Convert self to a slice and then invoke the given closure with it.

fn encoded_size(&self) -> usize

Calculates the encoded size.

impl From<Compact<PerU16>> for PerU16

fn from(x: Compact<PerU16>) -> PerU16

Converts to this type from the input type.

impl MaxEncodedLen for PerU16

fn max_encoded_len() -> usize

Upper bound, in bytes, of the maximum encoded size of this item.

impl<N> Mul<N> for PerU16where N: Clone + UniqueSaturatedInto<u16> + Rem<N, Output = N> + Div<N, Output = N> + Mul<N, Output = N> + Add<N, Output = N> + Unsigned, u16: Into<N>,

Non-overflow multiplication.

This is tailored to be used with a balance type.

type Output = N

The resulting type after applying the * operator.

fn mul(self, b: N) -> Self::Output

Performs the * operation.

impl Mul for PerU16

type Output = PerU16

The resulting type after applying the * operator.

fn mul(self, rhs: Self) -> Self::Output

Performs the * operation.

impl One for PerU16

fn one() -> Self

Returns the multiplicative identity element of Self, 1.

fn set_one(&mut self)

Sets self to the multiplicative identity element of Self, 1.

fn is_one(&self) -> boolwhere Self: PartialEq,

Returns true if self is equal to the multiplicative identity.

impl Ord for PerU16

fn cmp(&self, other: &PerU16) -> Ordering

This method returns an Ordering between self and other.

fn max(self, other: Self) -> Selfwhere Self: Sized,

Compares and returns the maximum of two values.

fn min(self, other: Self) -> Selfwhere Self: Sized,

Compares and returns the minimum of two values.

fn clamp(self, min: Self, max: Self) -> Selfwhere Self: Sized + PartialOrd,

Restrict a value to a certain interval.

impl PartialEq for PerU16

fn eq(&self, other: &PerU16) -> bool

This method tests for self and other values to be equal, and is used by ==.

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 PerU16

fn partial_cmp(&self, other: &PerU16) -> Option<Ordering>

This method returns an ordering between self and other values if one exists.

fn lt(&self, other: &Rhs) -> bool

This method tests less than (for self and other) and is used by the < operator.

fn le(&self, other: &Rhs) -> bool

This method tests less than or equal to (for self and other) and is used by the <= operator.

fn gt(&self, other: &Rhs) -> bool

This method tests greater than (for self and other) and is used by the > operator.

fn ge(&self, other: &Rhs) -> bool

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

impl PerThing for PerU16

fn deconstruct(self) -> Self::Inner

Consume self and return the number of parts per thing.

fn from_parts(parts: Self::Inner) -> Self

Build this type from a number of parts per thing.

fn from_float(x: f64) -> Self

NOTE: saturate to 0 or 1 if x is beyond [0, 1]

type Inner = u16

The data type used to build this per-thingy.

type Upper = u32

A data type larger than Self::Inner, used to avoid overflow in some computations. It must be able to compute ACCURACY^2.

const ACCURACY: Self::Inner = {transmute(0xffff): <per_things::PerU16 as per_things::PerThing>::Inner}

The accuracy of this type.

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 + MultiplyRational, Self::Inner: Into<N>,

Approximate the fraction p/q into a per-thing fraction.

fn zero() -> Self

Equivalent to Self::from_parts(0).

fn is_zero(&self) -> bool

Return true if this is nothing.

fn one() -> Self

Equivalent to Self::from_parts(Self::ACCURACY).

fn is_one(&self) -> bool

Return true if this is one.

fn less_epsilon(self) -> Self

Return the next lower value to self or self if it is already zero.

fn try_less_epsilon(self) -> Result<Self, Self>

Return the next lower value to self or an error with the same value if self is already zero.

fn plus_epsilon(self) -> Self

Return the next higher value to self or self if it is already one.

fn try_plus_epsilon(self) -> Result<Self, Self>

Return the next higher value to self or an error with the same value if self is already one.

fn from_percent(x: Self::Inner) -> Self

Build this type from a percent. Equivalent to Self::from_parts(x * Self::ACCURACY / 100) but more accurate and can cope with potential type overflows.

fn square(self) -> Self

Return the product of multiplication of this value by itself.

fn left_from_one(self) -> Self

Return the part left when self is saturating-subtracted from Self::one().

fn mul_floor<N>(self, b: N) -> Nwhere N: MultiplyArg + UniqueSaturatedInto<Self::Inner>, Self::Inner: Into<N>,

Multiplication that always rounds down to a whole number. The standard Mul rounds to the nearest whole number.

fn mul_ceil<N>(self, b: N) -> Nwhere N: MultiplyArg + UniqueSaturatedInto<Self::Inner>, Self::Inner: Into<N>,

Multiplication that always rounds the result up to a whole number. The standard Mul rounds to the nearest whole number.

fn saturating_reciprocal_mul<N>(self, b: N) -> Nwhere N: ReciprocalArg + UniqueSaturatedInto<Self::Inner>, Self::Inner: Into<N>,

Saturating multiplication by the reciprocal of self. The result is rounded to the nearest whole number and saturates at the numeric bounds instead of overflowing.

fn saturating_reciprocal_mul_floor<N>(self, b: N) -> Nwhere N: ReciprocalArg + UniqueSaturatedInto<Self::Inner>, Self::Inner: Into<N>,

Saturating multiplication by the reciprocal of self. The result is rounded down to the nearest whole number and saturates at the numeric bounds instead of overflowing.

fn saturating_reciprocal_mul_ceil<N>(self, b: N) -> Nwhere N: ReciprocalArg + UniqueSaturatedInto<Self::Inner>, Self::Inner: Into<N>,

Saturating multiplication by the reciprocal of self. The result is rounded up to the nearest whole number and saturates at the numeric bounds instead of overflowing.

fn from_fraction(x: f64) -> Self

👎Deprecated: Use from_float instead

Same as Self::from_float.

fn from_rational<N>(p: N, q: N) -> Selfwhere N: RationalArg + TryInto<Self::Inner> + TryInto<Self::Upper>, Self::Inner: Into<N>,

Approximate the fraction p/q into a per-thing fraction. This will never overflow.

fn from_rational_approximation<N>(p: N, q: N) -> Selfwhere N: RationalArg + TryInto<Self::Inner> + TryInto<Self::Upper>, Self::Inner: Into<N>,

👎Deprecated: Use from_rational instead

Same as Self::from_rational.

impl Pow<usize> for PerU16

type Output = PerU16

The result after applying the operator.

fn pow(self, exp: usize) -> Self::Output

Returns self to the power rhs.

impl Saturating for PerU16

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.

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.

fn saturating_mul(self, rhs: Self) -> Self

Saturating multiply. Compute self * rhs, saturating at the numeric bounds instead of overflowing. This operation is lossy.

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.

fn saturating_less_one(self) -> Selfwhere Self: One,

Decrement self by one, saturating at zero.

fn saturating_plus_one(self) -> Selfwhere Self: One,

Increment self by one, saturating at the numeric bounds instead of overflowing.

fn saturating_inc(&mut self)where Self: One,

Increment self by one, saturating.

fn saturating_dec(&mut self)where Self: One,

Decrement self by one, saturating at zero.

fn saturating_accrue(&mut self, amount: Self)where Self: One,

Increment self by some amount, saturating.

fn saturating_reduce(&mut self, amount: Self)where Self: One,

Decrement self by some amount, saturating at zero.

impl SaturatingAdd for PerU16

fn saturating_add(&self, v: &Self) -> Self

Saturating addition. Computes self + other, saturating at the relevant high or low boundary of the type.

impl SaturatingSub for PerU16

fn saturating_sub(&self, v: &Self) -> Self

Saturating subtraction. Computes self - other, saturating at the relevant high or low boundary of the type.

impl Serialize for PerU16

fn serialize<__S>(&self, __serializer: __S) -> Result<__S::Ok, __S::Error>where __S: Serializer,

Serialize this value into the given Serde serializer.

impl Sub for PerU16

type Output = PerU16

The resulting type after applying the - operator.

fn sub(self, rhs: Self) -> Self::Output

Performs the - operation.

impl TypeInfo for PerU16

type Identity = PerU16

The type identifying for which type info is provided.

fn type_info() -> Type

Returns the static type identifier for Self.

impl Zero for PerU16

fn zero() -> Self

Returns the additive identity element of Self, 0.

fn is_zero(&self) -> bool

Returns true if self is equal to the additive identity.

fn set_zero(&mut self)

Sets self to the additive identity element of Self, 0.

impl Copy for PerU16

impl EncodeLike for PerU16

impl Eq for PerU16

impl StructuralEq for PerU16

impl StructuralPartialEq for PerU16