Struct sp_arithmetic::PerU16

pub struct PerU16(_);

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_fraction(x: f64) -> Self

See PerThing::from_fraction.

pub fn from_rational_approximation<N>(p: N, q: N) -> Self where
    N: Clone + Ord + From<u16> + TryInto<u16> + TryInto<u32> + Div<N, Output = N> + Rem<N, Output = N> + Add<N, Output = N> + Unsigned, 

See PerThing::from_rational_approximation.

pub fn mul_floor<N>(self, b: N) -> N where
    N: Clone + From<u16> + UniqueSaturatedInto<u16> + Rem<N, Output = N> + Div<N, Output = N> + Mul<N, Output = N> + Add<N, Output = N> + Unsigned, 

See PerThing::mul_floor.

pub fn mul_ceil<N>(self, b: N) -> N where
    N: Clone + From<u16> + UniqueSaturatedInto<u16> + Rem<N, Output = N> + Div<N, Output = N> + Mul<N, Output = N> + Add<N, Output = N> + Unsigned, 

See PerThing::mul_ceil.

pub fn saturating_reciprocal_mul<N>(self, b: N) -> N where
    N: Clone + From<u16> + UniqueSaturatedInto<u16> + Rem<N, Output = N> + Div<N, Output = N> + Mul<N, Output = N> + Add<N, Output = N> + Saturating + Unsigned, 

See PerThing::saturating_reciprocal_mul.

pub fn saturating_reciprocal_mul_floor<N>(self, b: N) -> N where
    N: Clone + From<u16> + UniqueSaturatedInto<u16> + Rem<N, Output = N> + Div<N, Output = N> + Mul<N, Output = N> + Add<N, Output = N> + Saturating + Unsigned, 

See PerThing::saturating_reciprocal_mul_floor.

pub fn saturating_reciprocal_mul_ceil<N>(self, b: N) -> N where
    N: Clone + From<u16> + UniqueSaturatedInto<u16> + Rem<N, Output = N> + Div<N, Output = N> + Mul<N, Output = N> + Add<N, Output = N> + Saturating + Unsigned, 

See PerThing::saturating_reciprocal_mul_ceil.

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 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 Clone for PerU16

fn clone(&self) -> PerU16

Returns a copy of the value.

pub 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 encodable type.

fn decode_from(x: Self::As) -> Self

Create Self from the decodable type.

impl Copy for PerU16

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.

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 Div<PerU16> for PerU16

type Output = Self

The resulting type after applying the / operator.

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

Performs the / operation.

impl Encode for PerU16

fn encode_to<__CodecOutputEdqy: Output>(
    &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.

pub fn size_hint(&self) -> usize

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

impl EncodeLike<PerU16> for PerU16

impl Eq for PerU16

impl From<Compact<PerU16>> for PerU16

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

Performs the conversion.

impl<N> Mul<N> for PerU16 where
    N: Clone + From<u16> + UniqueSaturatedInto<u16> + Rem<N, Output = N> + Div<N, Output = N> + Mul<N, Output = N> + Add<N, Output = N> + Unsigned, 

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 Ord for PerU16

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

This method returns an Ordering between self and other.

#[must_use]pub fn max(self, other: Self) -> Self

Compares and returns the maximum of two values.

#[must_use]pub fn min(self, other: Self) -> Self

Compares and returns the minimum of two values.

#[must_use]pub fn clamp(self, min: Self, max: Self) -> Self

Restrict a value to a certain interval.

impl PartialEq<PerU16> 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: &PerU16) -> bool

This method tests for !=.

impl PartialOrd<PerU16> for PerU16

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

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

#[must_use]pub fn lt(&self, other: &Rhs) -> bool

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

#[must_use]pub fn le(&self, other: &Rhs) -> bool

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

#[must_use]pub fn gt(&self, other: &Rhs) -> bool

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

#[must_use]pub 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

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

The accuracy of this type.

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_fraction(x: f64) -> Self

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

fn from_rational_approximation<N>(p: N, q: N) -> Self where
    N: Clone + Ord + From<Self::Inner> + TryInto<Self::Inner> + TryInto<Self::Upper> + Div<N, Output = N> + Rem<N, Output = N> + Add<N, Output = N> + Unsigned, 

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

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

Build this type from a percent. Equivalent to Self::from_parts(x * Self::ACCURACY / 100) but more accurate.

fn square(self) -> Self

Return the product of multiplication of this value by itself.

fn mul_floor<N>(self, b: N) -> N where
    N: Clone + From<Self::Inner> + UniqueSaturatedInto<Self::Inner> + Rem<N, Output = N> + Div<N, Output = N> + Mul<N, Output = N> + Add<N, Output = N> + Unsigned, 

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) -> N where
    N: Clone + From<Self::Inner> + UniqueSaturatedInto<Self::Inner> + Rem<N, Output = N> + Div<N, Output = N> + Mul<N, Output = N> + Add<N, Output = N> + Unsigned, 

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) -> N where
    N: Clone + From<Self::Inner> + UniqueSaturatedInto<Self::Inner> + Rem<N, Output = N> + Div<N, Output = N> + Mul<N, Output = N> + Add<N, Output = N> + Saturating + Unsigned, 

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) -> N where
    N: Clone + From<Self::Inner> + UniqueSaturatedInto<Self::Inner> + Rem<N, Output = N> + Div<N, Output = N> + Mul<N, Output = N> + Add<N, Output = N> + Saturating + Unsigned, 

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) -> N where
    N: Clone + From<Self::Inner> + UniqueSaturatedInto<Self::Inner> + Rem<N, Output = N> + Div<N, Output = N> + Mul<N, Output = N> + Add<N, Output = N> + Saturating + Unsigned, 

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.

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.

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 StructuralEq for PerU16

impl StructuralPartialEq for PerU16