Struct Decimal256

pub struct Decimal256(/* private fields */);

A fixed-point decimal value with 18 fractional digits, i.e. Decimal256(1_000_000_000_000_000_000) == 1.0

The greatest possible value that can be represented is 115792089237316195423570985008687907853269984665640564039457.584007913129639935 (which is (2^256 - 1) / 10^18)

Implementations

impl Decimal256

pub const DECIMAL_PLACES: u32 = 18u32

The number of decimal places. Since decimal types are fixed-point rather than floating-point, this is a constant.

pub const MAX: Self

The largest value that can be represented by this decimal type.

pub const MIN: Self

The smallest value that can be represented by this decimal type.

pub const fn new(value: Uint256) -> Self

Creates a Decimal256 from Uint256 This is equivalent to Decimal256::from_atomics(value, 18) but usable in a const context.

pub const fn raw(value: u128) -> Self

Creates a Decimal256 from u128 This is equivalent to Decimal256::from_atomics(value, 18) but usable in a const context.

pub const fn one() -> Self

Create a 1.0 Decimal256

pub const fn zero() -> Self

Create a 0.0 Decimal256

pub const fn percent(x: u64) -> Self

Convert x% into Decimal256

Examples

const HALF: Decimal256 = Decimal256::percent(50);

assert_eq!(HALF, Decimal256::from_str("0.5").unwrap());

pub const fn permille(x: u64) -> Self

Convert permille (x/1000) into Decimal256

Examples

const HALF: Decimal256 = Decimal256::permille(500);

assert_eq!(HALF, Decimal256::from_str("0.5").unwrap());

pub const fn bps(x: u64) -> Self

Convert basis points (x/10000) into Decimal256

Examples

const TWO_BPS: Decimal256 = Decimal256::bps(2);
const HALF: Decimal256 = Decimal256::bps(5000);

assert_eq!(TWO_BPS, Decimal256::from_str("0.0002").unwrap());
assert_eq!(HALF, Decimal256::from_str("0.5").unwrap());

pub fn from_atomics( atomics: impl Into<Uint256>, decimal_places: u32, ) -> Result<Self, Decimal256RangeExceeded>

Creates a decimal from a number of atomic units and the number of decimal places. The inputs will be converted internally to form a decimal with 18 decimal places. So the input 123 and 2 will create the decimal 1.23.

Using 18 decimal places is slightly more efficient than other values as no internal conversion is necessary.

Examples

let a = Decimal256::from_atomics(1234u64, 3).unwrap();
assert_eq!(a.to_string(), "1.234");

let a = Decimal256::from_atomics(1234u128, 0).unwrap();
assert_eq!(a.to_string(), "1234");

let a = Decimal256::from_atomics(1u64, 18).unwrap();
assert_eq!(a.to_string(), "0.000000000000000001");

let a = Decimal256::from_atomics(Uint256::MAX, 18).unwrap();
assert_eq!(a, Decimal256::MAX);

pub fn from_ratio( numerator: impl Into<Uint256>, denominator: impl Into<Uint256>, ) -> Self

Returns the ratio (numerator / denominator) as a Decimal256

pub fn checked_from_ratio( numerator: impl Into<Uint256>, denominator: impl Into<Uint256>, ) -> Result<Self, CheckedFromRatioError>

Returns the ratio (numerator / denominator) as a Decimal256

pub const fn is_zero(&self) -> bool

pub const fn atomics(&self) -> Uint256

A decimal is an integer of atomic units plus a number that specifies the position of the decimal dot. So any decimal can be expressed as two numbers.

Examples

// Value with whole and fractional part
let a = Decimal256::from_str("1.234").unwrap();
assert_eq!(a.decimal_places(), 18);
assert_eq!(a.atomics(), Uint256::from(1234000000000000000u128));

// Smallest possible value
let b = Decimal256::from_str("0.000000000000000001").unwrap();
assert_eq!(b.decimal_places(), 18);
assert_eq!(b.atomics(), Uint256::from(1u128));

pub const fn decimal_places(&self) -> u32

The number of decimal places. This is a constant value for now but this could potentially change as the type evolves.

See also Decimal256::atomics().

pub fn floor(&self) -> Self

Rounds value down after decimal places.

pub fn ceil(&self) -> Self

Rounds value up after decimal places. Panics on overflow.

pub fn checked_ceil(&self) -> Result<Self, RoundUpOverflowError>

Rounds value up after decimal places. Returns OverflowError on overflow.

pub fn checked_add(self, other: Self) -> Result<Self, OverflowError>

pub fn checked_sub(self, other: Self) -> Result<Self, OverflowError>

pub fn checked_mul(self, other: Self) -> Result<Self, OverflowError>

Multiplies one Decimal256 by another, returning an OverflowError if an overflow occurred.

pub fn pow(self, exp: u32) -> Self

Raises a value to the power of exp, panics if an overflow occurred.

pub fn checked_pow(self, exp: u32) -> Result<Self, OverflowError>

Raises a value to the power of exp, returning an OverflowError if an overflow occurred.

pub fn checked_div(self, other: Self) -> Result<Self, CheckedFromRatioError>

pub fn checked_rem(self, other: Self) -> Result<Self, DivideByZeroError>

pub fn sqrt(&self) -> Self

Returns the approximate square root as a Decimal256.

This should not overflow or panic.

pub fn abs_diff(self, other: Self) -> Self

pub fn saturating_add(self, other: Self) -> Self

pub fn saturating_sub(self, other: Self) -> Self

pub fn saturating_mul(self, other: Self) -> Self

pub fn saturating_pow(self, exp: u32) -> Self

pub fn to_uint_floor(self) -> Uint256

Converts this decimal to an unsigned integer by truncating the fractional part, e.g. 22.5 becomes 22.

Examples

use core::str::FromStr;
use cosmwasm_std::{Decimal256, Uint256};

let d = Decimal256::from_str("12.345").unwrap();
assert_eq!(d.to_uint_floor(), Uint256::from(12u64));

let d = Decimal256::from_str("12.999").unwrap();
assert_eq!(d.to_uint_floor(), Uint256::from(12u64));

let d = Decimal256::from_str("75.0").unwrap();
assert_eq!(d.to_uint_floor(), Uint256::from(75u64));

pub fn to_uint_ceil(self) -> Uint256

Converts this decimal to an unsigned integer by rounting up to the next integer, e.g. 22.3 becomes 23.

Examples

use core::str::FromStr;
use cosmwasm_std::{Decimal256, Uint256};

let d = Decimal256::from_str("12.345").unwrap();
assert_eq!(d.to_uint_ceil(), Uint256::from(13u64));

let d = Decimal256::from_str("12.999").unwrap();
assert_eq!(d.to_uint_ceil(), Uint256::from(13u64));

let d = Decimal256::from_str("75.0").unwrap();
assert_eq!(d.to_uint_ceil(), Uint256::from(75u64));

Trait Implementations

impl Add<&Decimal256> for &Decimal256

type Output = <Decimal256 as Add>::Output

The resulting type after applying the + operator.

fn add(self, other: &Decimal256) -> <Decimal256 as Add<Decimal256>>::Output

Performs the + operation.

impl Add<&Decimal256> for Decimal256

type Output = <Decimal256 as Add>::Output

The resulting type after applying the + operator.

fn add(self, other: &Decimal256) -> <Decimal256 as Add<Decimal256>>::Output

Performs the + operation.

impl<'a> Add<Decimal256> for &'a Decimal256

type Output = <Decimal256 as Add>::Output

The resulting type after applying the + operator.

fn add(self, other: Decimal256) -> <Decimal256 as Add<Decimal256>>::Output

Performs the + operation.

impl Add for Decimal256

type Output = Decimal256

The resulting type after applying the + operator.

fn add(self, other: Self) -> Self

Performs the + operation.

impl AddAssign<&Decimal256> for Decimal256

fn add_assign(&mut self, other: &Decimal256)

Performs the += operation.

impl AddAssign for Decimal256

fn add_assign(&mut self, rhs: Decimal256)

Performs the += operation.

impl Clone for Decimal256

fn clone(&self) -> Decimal256

Returns a copy of the value.

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

Performs copy-assignment from source.

impl Debug for Decimal256

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

Formats the value using the given formatter.

impl Default for Decimal256

fn default() -> Decimal256

Returns the “default value” for a type.

impl<'de> Deserialize<'de> for Decimal256

Deserializes as a base64 string

fn deserialize<D>(deserializer: D) -> Result<Self, D::Error>

where D: Deserializer<'de>,

Deserialize this value from the given Serde deserializer.

impl Display for Decimal256

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

Formats the value using the given formatter.

impl Div<&Decimal256> for &Decimal256

type Output = <Decimal256 as Div>::Output

The resulting type after applying the / operator.

fn div(self, other: &Decimal256) -> <Decimal256 as Div<Decimal256>>::Output

Performs the / operation.

impl Div<&Decimal256> for Decimal256

type Output = <Decimal256 as Div>::Output

The resulting type after applying the / operator.

fn div(self, other: &Decimal256) -> <Decimal256 as Div<Decimal256>>::Output

Performs the / operation.

impl<'a> Div<Decimal256> for &'a Decimal256

type Output = <Decimal256 as Div>::Output

The resulting type after applying the / operator.

fn div(self, other: Decimal256) -> <Decimal256 as Div<Decimal256>>::Output

Performs the / operation.

impl Div<Uint256> for Decimal256

type Output = Decimal256

The resulting type after applying the / operator.

fn div(self, rhs: Uint256) -> Self::Output

Performs the / operation.

impl Div for Decimal256

type Output = Decimal256

The resulting type after applying the / operator.

fn div(self, other: Self) -> Self

Performs the / operation.

impl DivAssign<&Decimal256> for Decimal256

fn div_assign(&mut self, other: &Decimal256)

Performs the /= operation.

impl DivAssign<Uint256> for Decimal256

fn div_assign(&mut self, rhs: Uint256)

Performs the /= operation.

impl DivAssign for Decimal256

fn div_assign(&mut self, rhs: Decimal256)

Performs the /= operation.

impl Fraction<Uint256> for Decimal256

fn inv(&self) -> Option<Self>

Returns the multiplicative inverse 1/d for decimal d.

If d is zero, none is returned.

fn numerator(&self) -> Uint256

Returns the numerator p

fn denominator(&self) -> Uint256

Returns the denominator q

impl From<Decimal> for Decimal256

fn from(input: Decimal) -> Self

Converts to this type from the input type.

impl FromStr for Decimal256

fn from_str(input: &str) -> Result<Self, Self::Err>

Converts the decimal string to a Decimal256 Possible inputs: “1.23”, “1”, “000012”, “1.123000000” Disallowed: “”, “.23”

This never performs any kind of rounding. More than DECIMAL_PLACES fractional digits, even zeros, result in an error.

type Err = StdError

The associated error which can be returned from parsing.

impl JsonSchema for Decimal256

fn schema_name() -> String

The name of the generated JSON Schema.

fn schema_id() -> Cow<'static, str>

Returns a string that uniquely identifies the schema produced by this type.

fn json_schema(generator: &mut SchemaGenerator) -> Schema

Generates a JSON Schema for this type.

fn is_referenceable() -> bool

Whether JSON Schemas generated for this type should be re-used where possible using the $ref keyword.

impl Mul<&Decimal256> for &Decimal256

type Output = <Decimal256 as Mul>::Output

The resulting type after applying the * operator.

fn mul(self, other: &Decimal256) -> <Decimal256 as Mul<Decimal256>>::Output

Performs the * operation.

impl Mul<&Decimal256> for Decimal256

type Output = <Decimal256 as Mul>::Output

The resulting type after applying the * operator.

fn mul(self, other: &Decimal256) -> <Decimal256 as Mul<Decimal256>>::Output

Performs the * operation.

impl<'a> Mul<Decimal256> for &'a Decimal256

type Output = <Decimal256 as Mul>::Output

The resulting type after applying the * operator.

fn mul(self, other: Decimal256) -> <Decimal256 as Mul<Decimal256>>::Output

Performs the * operation.

impl Mul<Decimal256> for Uint256

Both du and ud with d: Decimal256 and u: Uint256 returns an Uint256. There is no specific reason for this decision other than the initial use cases we have. If you need a Decimal256 result for the same calculation, use Decimal256(du) or Decimal256(ud).

type Output = Uint256

The resulting type after applying the * operator.

fn mul(self, rhs: Decimal256) -> Self::Output

Performs the * operation.

impl Mul<Uint256> for Decimal256

type Output = Uint256

The resulting type after applying the * operator.

fn mul(self, rhs: Uint256) -> Self::Output

Performs the * operation.

impl Mul for Decimal256

type Output = Decimal256

The resulting type after applying the * operator.

fn mul(self, other: Self) -> Self

Performs the * operation.

impl MulAssign<&Decimal256> for Decimal256

fn mul_assign(&mut self, other: &Decimal256)

Performs the *= operation.

impl MulAssign for Decimal256

fn mul_assign(&mut self, rhs: Self)

Performs the *= operation.

impl Ord for Decimal256

fn cmp(&self, other: &Decimal256) -> Ordering

This method returns an Ordering between self and other.

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

where Self: Sized,

Compares and returns the maximum of two values.

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

where Self: Sized,

Compares and returns the minimum of two values.

fn clamp(self, min: Self, max: Self) -> Self

where Self: Sized,

Restrict a value to a certain interval.

impl PartialEq<&Decimal256> for Decimal256

fn eq(&self, rhs: &&Decimal256) -> bool

Tests for self and other values to be equal, and is used by ==.

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

Tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason.

impl<'a> PartialEq<Decimal256> for &'a Decimal256

fn eq(&self, rhs: &Decimal256) -> bool

Tests for self and other values to be equal, and is used by ==.

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

Tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason.

impl PartialEq for Decimal256

fn eq(&self, other: &Decimal256) -> bool

Tests for self and other values to be equal, and is used by ==.

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

Tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason.

impl PartialOrd for Decimal256

fn partial_cmp(&self, other: &Decimal256) -> Option<Ordering>

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

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

Tests less than (for self and other) and is used by the < operator.

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

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

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

Tests greater than (for self and other) and is used by the > operator.

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

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

impl Rem<&Decimal256> for &Decimal256

type Output = <Decimal256 as Rem>::Output

The resulting type after applying the % operator.

fn rem(self, other: &Decimal256) -> <Decimal256 as Rem<Decimal256>>::Output

Performs the % operation.

impl Rem<&Decimal256> for Decimal256

type Output = <Decimal256 as Rem>::Output

The resulting type after applying the % operator.

fn rem(self, other: &Decimal256) -> <Decimal256 as Rem<Decimal256>>::Output

Performs the % operation.

impl<'a> Rem<Decimal256> for &'a Decimal256

type Output = <Decimal256 as Rem>::Output

The resulting type after applying the % operator.

fn rem(self, other: Decimal256) -> <Decimal256 as Rem<Decimal256>>::Output

Performs the % operation.

impl Rem for Decimal256

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

Panics

This operation will panic if rhs is zero

type Output = Decimal256

The resulting type after applying the % operator.

impl RemAssign<&Decimal256> for Decimal256

fn rem_assign(&mut self, other: &Decimal256)

Performs the %= operation.

impl RemAssign for Decimal256

fn rem_assign(&mut self, rhs: Decimal256)

Performs the %= operation.

impl Serialize for Decimal256

Serializes as a decimal string

fn serialize<S>(&self, serializer: S) -> Result<S::Ok, S::Error>

where S: Serializer,

Serialize this value into the given Serde serializer.

impl Sub<&Decimal256> for &Decimal256

type Output = <Decimal256 as Sub>::Output

The resulting type after applying the - operator.

fn sub(self, other: &Decimal256) -> <Decimal256 as Sub<Decimal256>>::Output

Performs the - operation.

impl Sub<&Decimal256> for Decimal256

type Output = <Decimal256 as Sub>::Output

The resulting type after applying the - operator.

fn sub(self, other: &Decimal256) -> <Decimal256 as Sub<Decimal256>>::Output

Performs the - operation.

impl<'a> Sub<Decimal256> for &'a Decimal256

type Output = <Decimal256 as Sub>::Output

The resulting type after applying the - operator.

fn sub(self, other: Decimal256) -> <Decimal256 as Sub<Decimal256>>::Output

Performs the - operation.

impl Sub for Decimal256

type Output = Decimal256

The resulting type after applying the - operator.

fn sub(self, other: Self) -> Self

Performs the - operation.

impl SubAssign<&Decimal256> for Decimal256

fn sub_assign(&mut self, other: &Decimal256)

Performs the -= operation.

impl SubAssign for Decimal256

fn sub_assign(&mut self, rhs: Decimal256)

Performs the -= operation.

impl<A> Sum<A> for Decimal256

where Self: Add<A, Output = Self>,

fn sum<I: Iterator<Item = A>>(iter: I) -> Self

Takes an iterator and generates Self from the elements by “summing up” the items.

impl TryFrom<Decimal256> for Decimal

type Error = DecimalRangeExceeded

The type returned in the event of a conversion error.

fn try_from(value: Decimal256) -> Result<Self, Self::Error>

Performs the conversion.

impl TryFrom<Decimal256> for SignedDecimal

type Error = SignedDecimalRangeExceeded

The type returned in the event of a conversion error.

fn try_from(value: Decimal256) -> Result<Self, Self::Error>

Performs the conversion.

impl TryFrom<Decimal256> for SignedDecimal256

type Error = SignedDecimal256RangeExceeded

The type returned in the event of a conversion error.

fn try_from(value: Decimal256) -> Result<Self, Self::Error>

Performs the conversion.

impl TryFrom<SignedDecimal> for Decimal256

type Error = Decimal256RangeExceeded

The type returned in the event of a conversion error.

fn try_from(value: SignedDecimal) -> Result<Self, Self::Error>

Performs the conversion.

impl TryFrom<SignedDecimal256> for Decimal256

type Error = Decimal256RangeExceeded

The type returned in the event of a conversion error.

fn try_from(value: SignedDecimal256) -> Result<Self, Self::Error>

Performs the conversion.

impl Copy for Decimal256

impl Eq for Decimal256

impl StructuralPartialEq for Decimal256