Trait FixedPointNumber

pub trait FixedPointNumber:
    Sized
    + Copy
    + Default
    + Debug
    + Saturating
    + Bounded
    + Eq
    + PartialEq
    + Ord
    + PartialOrd
    + CheckedSub
    + CheckedAdd
    + CheckedMul
    + CheckedDiv
    + Add
    + Sub
    + Div
    + Mul
    + Zero
    + One {
    type Inner: Debug + One + CheckedMul + CheckedDiv + FixedPointOperand;

    const DIV: Self::Inner;
    const SIGNED: bool;

    // Required methods
    fn from_inner(int: Self::Inner) -> Self;
    fn into_inner(self) -> Self::Inner;

    // Provided methods
    fn accuracy() -> Self::Inner { ... }
    fn saturating_from_integer<N>(int: N) -> Self
       where N: FixedPointOperand { ... }
    fn checked_from_integer<N>(int: N) -> Option<Self>
       where N: Into<Self::Inner> { ... }
    fn saturating_from_rational<N, D>(n: N, d: D) -> Self
       where N: FixedPointOperand,
             D: FixedPointOperand { ... }
    fn checked_from_rational<N, D>(n: N, d: D) -> Option<Self>
       where N: FixedPointOperand,
             D: FixedPointOperand { ... }
    fn checked_mul_int<N>(self, n: N) -> Option<N>
       where N: FixedPointOperand { ... }
    fn saturating_mul_int<N>(self, n: N) -> N
       where N: FixedPointOperand { ... }
    fn checked_div_int<N>(self, d: N) -> Option<N>
       where N: FixedPointOperand { ... }
    fn saturating_div_int<N>(self, d: N) -> N
       where N: FixedPointOperand { ... }
    fn saturating_mul_acc_int<N>(self, n: N) -> N
       where N: FixedPointOperand { ... }
    fn saturating_abs(self) -> Self { ... }
    fn reciprocal(self) -> Option<Self> { ... }
    fn is_one(&self) -> bool { ... }
    fn is_positive(self) -> bool { ... }
    fn is_negative(self) -> bool { ... }
    fn trunc(self) -> Self { ... }
    fn frac(self) -> Self { ... }
    fn ceil(self) -> Self { ... }
    fn floor(self) -> Self { ... }
    fn round(self) -> Self { ... }
}

Re-export top-level arithmetic stuff. Something that implements a decimal fixed point number.

The precision is given by Self::DIV, i.e. 1 / DIV can be represented.

Each type can store numbers from Self::Inner::min_value() / Self::DIV to Self::Inner::max_value() / Self::DIV. This is also referred to as the accuracy of the type in the documentation.

Required Associated Constants

const DIV: Self::Inner

Precision of this fixed point implementation. It should be a power of 10.

const SIGNED: bool

Indicates if this fixed point implementation is signed or not.

Required Associated Types

type Inner: Debug + One + CheckedMul + CheckedDiv + FixedPointOperand

The underlying data type used for this fixed point number.

Required Methods

fn from_inner(int: Self::Inner) -> Self

Builds this type from an integer number.

fn into_inner(self) -> Self::Inner

Consumes self and returns the inner raw value.

Provided Methods

fn accuracy() -> Self::Inner

Precision of this fixed point implementation.

fn saturating_from_integer<N>(int: N) -> Self

where N: FixedPointOperand,

Creates self from an integer number int.

Returns Self::max or Self::min if int exceeds accuracy.

fn checked_from_integer<N>(int: N) -> Option<Self>

where N: Into<Self::Inner>,

Creates self from an integer number int.

Returns None if int exceeds accuracy.

fn saturating_from_rational<N, D>(n: N, d: D) -> Self

where N: FixedPointOperand, D: FixedPointOperand,

Creates self from a rational number. Equal to n / d.

Panics if d = 0. Returns Self::max or Self::min if n / d exceeds accuracy.

fn checked_from_rational<N, D>(n: N, d: D) -> Option<Self>

where N: FixedPointOperand, D: FixedPointOperand,

Creates self from a rational number. Equal to n / d.

Returns None if d == 0 or n / d exceeds accuracy.

fn checked_mul_int<N>(self, n: N) -> Option<N>

where N: FixedPointOperand,

Checked multiplication for integer type N. Equal to self * n.

Returns None if the result does not fit in N.

fn saturating_mul_int<N>(self, n: N) -> N

where N: FixedPointOperand,

Saturating multiplication for integer type N. Equal to self * n.

Returns N::min or N::max if the result does not fit in N.

fn checked_div_int<N>(self, d: N) -> Option<N>

where N: FixedPointOperand,

Checked division for integer type N. Equal to self / d.

Returns None if the result does not fit in N or d == 0.

fn saturating_div_int<N>(self, d: N) -> N

where N: FixedPointOperand,

Saturating division for integer type N. Equal to self / d.

Panics if d == 0. Returns N::min or N::max if the result does not fit in N.

fn saturating_mul_acc_int<N>(self, n: N) -> N

where N: FixedPointOperand,

Saturating multiplication for integer type N, adding the result back. Equal to self * n + n.

Returns N::min or N::max if the multiplication or final result does not fit in N.

fn saturating_abs(self) -> Self

Saturating absolute value.

Returns Self::max if self == Self::min.

fn reciprocal(self) -> Option<Self>

Takes the reciprocal (inverse). Equal to 1 / self.

Returns None if self = 0.

fn is_one(&self) -> bool

Checks if the number is one.

fn is_positive(self) -> bool

Returns true if self is positive and false if the number is zero or negative.

fn is_negative(self) -> bool

Returns true if self is negative and false if the number is zero or positive.

fn trunc(self) -> Self

Returns the integer part.

fn frac(self) -> Self

Returns the fractional part.

Note: the returned fraction will be non-negative for negative numbers, except in the case where the integer part is zero.

fn ceil(self) -> Self

Returns the smallest integer greater than or equal to a number.

Saturates to Self::max (truncated) if the result does not fit.

fn floor(self) -> Self

Returns the largest integer less than or equal to a number.

Saturates to Self::min (truncated) if the result does not fit.

fn round(self) -> Self

Returns the number rounded to the nearest integer. Rounds half-way cases away from 0.0.

Saturates to Self::min or Self::max (truncated) if the result does not fit.

Object Safety

This trait is not object safe.

Implementors

impl FixedPointNumber for FixedI64

const DIV: <FixedI64 as FixedPointNumber>::Inner = {transmute(0x000000003b9aca00): <sp_arithmetic::FixedI64 as sp_arithmetic::FixedPointNumber>::Inner}

const SIGNED: bool = true

type Inner = i64

impl FixedPointNumber for FixedI128

const DIV: <FixedI128 as FixedPointNumber>::Inner = {transmute(0x00000000000000000de0b6b3a7640000): <sp_arithmetic::FixedI128 as sp_arithmetic::FixedPointNumber>::Inner}

const SIGNED: bool = true

type Inner = i128

impl FixedPointNumber for FixedU64

const DIV: <FixedU64 as FixedPointNumber>::Inner = {transmute(0x000000003b9aca00): <sp_arithmetic::FixedU64 as sp_arithmetic::FixedPointNumber>::Inner}

const SIGNED: bool = false

type Inner = u64

impl FixedPointNumber for FixedU128

const DIV: <FixedU128 as FixedPointNumber>::Inner = {transmute(0x00000000000000000de0b6b3a7640000): <sp_arithmetic::FixedU128 as sp_arithmetic::FixedPointNumber>::Inner}

const SIGNED: bool = false

type Inner = u128