[−][src]Trait sp_arithmetic::FixedPointNumber
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.
Associated Types
type Inner: Debug + One + CheckedMul + CheckedDiv + FixedPointOperand
The underlying data type used for this fixed point number.
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 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: FixedPointOperand>(int: N) -> Self
Creates self from an integer number int
.
Returns Self::max
or Self::min
if int
exceeds accuracy.
fn checked_from_integer(int: Self::Inner) -> Option<Self>
Creates self
from an integer number int
.
Returns None
if int
exceeds accuracy.
fn saturating_from_rational<N: FixedPointOperand, D: FixedPointOperand>(
n: N,
d: D
) -> Self
n: N,
d: D
) -> Self
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: FixedPointOperand, D: FixedPointOperand>(
n: N,
d: D
) -> Option<Self>
n: N,
d: D
) -> Option<Self>
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: FixedPointOperand>(self, n: N) -> Option<N>
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: FixedPointOperand>(self, n: N) -> N
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: FixedPointOperand>(self, d: N) -> Option<N>
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: FixedPointOperand>(self, d: N) -> N
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: FixedPointOperand>(self, n: N) -> N
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 zero() -> Self
Returns zero.
fn is_zero(&self) -> bool
Checks if the number is zero.
fn one() -> Self
Returns one.
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.