pub struct FixedI128(/* private fields */);
Expand description

A fixed point number representation in the range. Fixed Point 128 bits signed, range = [-170141183460469231731.687303715884105728, 170141183460469231731.687303715884105727]

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impl FixedI128

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pub const fn from_inner(inner: i128) -> Self

Create a new instance from the given inner value.

const version of FixedPointNumber::from_inner.

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pub const fn into_inner(self) -> i128

Return the instance’s inner value.

const version of FixedPointNumber::into_inner.

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pub const fn from_u32(n: u32) -> Self

Creates self from a u32.

WARNING: This is a const function designed for convenient use at build time and will panic on overflow. Ensure that any inputs are sensible.

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pub fn from_float(x: f64) -> Self

Convert from a float value.

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pub const fn from_perbill(n: Perbill) -> Self

Convert from a Perbill value.

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pub const fn into_perbill(self) -> Perbill

Convert into a Perbill value. Will saturate if above one or below zero.

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pub fn to_float(self) -> f64

Convert into a float value.

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pub fn try_into_perthing<P: PerThing>(self) -> Result<P, P>

Attempt to convert into a PerThing. This will succeed iff self is at least zero and at most one. If it is out of bounds, it will result in an error returning the clamped value.

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pub fn into_clamped_perthing<P: PerThing>(self) -> P

Attempt to convert into a PerThing. This will always succeed resulting in a clamped value if self is less than zero or greater than one.

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pub const fn neg(self) -> Self

Negate the value.

WARNING: This is a const function designed for convenient use at build time and will panic on overflow. Ensure that any inputs are sensible.

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pub const fn sqrt(self) -> Self

Take the square root of a positive value.

WARNING: This is a const function designed for convenient use at build time and will panic on overflow. Ensure that any inputs are sensible.

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pub const fn try_sqrt(self) -> Option<Self>

Compute the square root, rounding as desired. If it overflows or is negative, then None is returned.

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pub const fn add(self, rhs: Self) -> Self

Add a value and return the result.

WARNING: This is a const function designed for convenient use at build time and will panic on overflow. Ensure that any inputs are sensible.

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pub const fn sub(self, rhs: Self) -> Self

Subtract a value and return the result.

WARNING: This is a const function designed for convenient use at build time and will panic on overflow. Ensure that any inputs are sensible.

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pub const fn mul(self, rhs: Self) -> Self

Multiply by a value and return the result.

Result will be rounded to the nearest representable value, rounding down if it is equidistant between two neighbours.

WARNING: This is a const function designed for convenient use at build time and will panic on overflow. Ensure that any inputs are sensible.

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pub const fn div(self, rhs: Self) -> Self

Divide by a value and return the result.

Result will be rounded to the nearest representable value, rounding down if it is equidistant between two neighbours.

WARNING: This is a const function designed for convenient use at build time and will panic on overflow. Ensure that any inputs are sensible.

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pub const fn from_rational(a: u128, b: u128) -> Self

Calculate an approximation of a rational.

Result will be rounded to the nearest representable value, rounding down if it is equidistant between two neighbours.

WARNING: This is a const function designed for convenient use at build time and will panic on overflow. Ensure that any inputs are sensible.

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pub const fn from_rational_with_rounding( a: u128, b: u128, rounding: Rounding ) -> Self

Calculate an approximation of a rational with custom rounding.

WARNING: This is a const function designed for convenient use at build time and will panic on overflow. Ensure that any inputs are sensible.

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pub const fn const_checked_mul(self, other: Self) -> Option<Self>

Multiply by another value, returning None in the case of an error.

Result will be rounded to the nearest representable value, rounding down if it is equidistant between two neighbours.

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pub const fn const_checked_mul_with_rounding( self, other: Self, rounding: SignedRounding ) -> Option<Self>

Multiply by another value with custom rounding, returning None in the case of an error.

Result will be rounded to the nearest representable value, rounding down if it is equidistant between two neighbours.

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pub const fn const_checked_div(self, other: Self) -> Option<Self>

Divide by another value, returning None in the case of an error.

Result will be rounded to the nearest representable value, rounding down if it is equidistant between two neighbours.

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pub const fn checked_rounding_div( self, other: Self, rounding: SignedRounding ) -> Option<Self>

Divide by another value with custom rounding, returning None in the case of an error.

Result will be rounded to the nearest representable value, rounding down if it is equidistant between two neighbours.

Trait Implementations§

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impl Add for FixedI128

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type Output = FixedI128

The resulting type after applying the + operator.
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fn add(self, rhs: Self) -> Self::Output

Performs the + operation. Read more
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impl Bounded for FixedI128

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fn min_value() -> Self

Returns the smallest finite number this type can represent
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fn max_value() -> Self

Returns the largest finite number this type can represent
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impl CheckedAdd for FixedI128

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

Adds two numbers, checking for overflow. If overflow happens, None is returned.
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impl CheckedDiv for FixedI128

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fn checked_div(&self, other: &Self) -> Option<Self>

Divides two numbers, checking for underflow, overflow and division by zero. If any of that happens, None is returned.
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impl CheckedMul for FixedI128

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

Multiplies two numbers, checking for underflow or overflow. If underflow or overflow happens, None is returned.
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impl CheckedSub for FixedI128

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

Subtracts two numbers, checking for underflow. If underflow happens, None is returned.
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impl Clone for FixedI128

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fn clone(&self) -> FixedI128

Returns a copy of the value. Read more
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fn clone_from(&mut self, source: &Self)

Performs copy-assignment from source. Read more
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impl CompactAs for FixedI128

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type As = i128

A compact-encodable type that should be used as the encoding.
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fn encode_as(&self) -> &i128

Returns the compact-encodable type.
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fn decode_from(x: i128) -> Result<FixedI128, Error>

Decode Self from the compact-decoded type.
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impl Debug for FixedI128

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

Formats the value using the given formatter. Read more
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impl Decode for FixedI128

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fn decode<__CodecInputEdqy: Input>( __codec_input_edqy: &mut __CodecInputEdqy ) -> Result<Self, Error>

Attempt to deserialise the value from input.
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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. Read more
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fn skip<I>(input: &mut I) -> Result<(), Error>where I: Input,

Attempt to skip the encoded value from input. Read more
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fn encoded_fixed_size() -> Option<usize>

Returns the fixed encoded size of the type. Read more
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impl Default for FixedI128

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fn default() -> FixedI128

Returns the “default value” for a type. Read more
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impl<'de> Deserialize<'de> for FixedI128

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

Deserialize this value from the given Serde deserializer. Read more
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impl Display for FixedI128

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

Formats the value using the given formatter. Read more
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impl Div for FixedI128

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type Output = FixedI128

The resulting type after applying the / operator.
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fn div(self, rhs: Self) -> Self::Output

Performs the / operation. Read more
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impl Encode for FixedI128

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fn size_hint(&self) -> usize

If possible give a hint of expected size of the encoding. Read more
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fn encode_to<__CodecOutputEdqy: Output + ?Sized>( &self, __codec_dest_edqy: &mut __CodecOutputEdqy )

Convert self to a slice and append it to the destination.
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fn encode(&self) -> Vec<u8>

Convert self to an owned vector.
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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.
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fn encoded_size(&self) -> usize

Calculates the encoded size. Read more
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impl FixedPointNumber for FixedI128

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type Inner = i128

The underlying data type used for this fixed point number.
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const DIV: Self::Inner = {transmute(0x00000000000000000de0b6b3a7640000): <fixed_point::FixedI128 as fixed_point::FixedPointNumber>::Inner}

Precision of this fixed point implementation. It should be a power of 10.
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const SIGNED: bool = true

Indicates if this fixed point implementation is signed or not.
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fn from_inner(inner: Self::Inner) -> Self

Builds this type from an integer number.
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fn into_inner(self) -> Self::Inner

Consumes self and returns the inner raw value.
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fn accuracy() -> Self::Inner

Precision of this fixed point implementation.
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fn saturating_from_integer<N: FixedPointOperand>(int: N) -> Self

Creates self from an integer number int. Read more
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fn checked_from_integer<N: Into<Self::Inner>>(int: N) -> Option<Self>

Creates self from an integer number int. Read more
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fn saturating_from_rational<N: FixedPointOperand, D: FixedPointOperand>( n: N, d: D ) -> Self

Creates self from a rational number. Equal to n / d. Read more
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fn checked_from_rational<N: FixedPointOperand, D: FixedPointOperand>( n: N, d: D ) -> Option<Self>

Creates self from a rational number. Equal to n / d. Read more
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fn checked_mul_int<N: FixedPointOperand>(self, n: N) -> Option<N>

Checked multiplication for integer type N. Equal to self * n. Read more
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fn saturating_mul_int<N: FixedPointOperand>(self, n: N) -> N

Saturating multiplication for integer type N. Equal to self * n. Read more
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fn checked_div_int<N: FixedPointOperand>(self, d: N) -> Option<N>

Checked division for integer type N. Equal to self / d. Read more
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fn saturating_div_int<N: FixedPointOperand>(self, d: N) -> N

Saturating division for integer type N. Equal to self / d. Read more
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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. Read more
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fn saturating_abs(self) -> Self

Saturating absolute value. Read more
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fn reciprocal(self) -> Option<Self>

Takes the reciprocal (inverse). Equal to 1 / self. Read more
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fn is_one(&self) -> bool

Checks if the number is one.
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fn is_positive(self) -> bool

Returns true if self is positive and false if the number is zero or negative.
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fn is_negative(self) -> bool

Returns true if self is negative and false if the number is zero or positive.
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fn trunc(self) -> Self

Returns the integer part.
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fn frac(self) -> Self

Returns the fractional part. Read more
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fn ceil(self) -> Self

Returns the smallest integer greater than or equal to a number. Read more
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fn floor(self) -> Self

Returns the largest integer less than or equal to a number. Read more
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fn round(self) -> Self

Returns the number rounded to the nearest integer. Rounds half-way cases away from 0.0. Read more
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impl<N: FixedPointOperand, D: FixedPointOperand> From<(N, D)> for FixedI128

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fn from(r: (N, D)) -> Self

Converts to this type from the input type.
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impl From<Compact<FixedI128>> for FixedI128

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fn from(x: Compact<FixedI128>) -> FixedI128

Converts to this type from the input type.
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impl<P: PerThing> From<P> for FixedI128where P::Inner: FixedPointOperand,

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fn from(p: P) -> Self

Converts to this type from the input type.
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impl From<i128> for FixedI128

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fn from(int: i128) -> Self

Converts to this type from the input type.
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impl FromStr for FixedI128

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type Err = &'static str

The associated error which can be returned from parsing.
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fn from_str(s: &str) -> Result<Self, Self::Err>

Parses a string s to return a value of this type. Read more
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impl MaxEncodedLen for FixedI128

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fn max_encoded_len() -> usize

Upper bound, in bytes, of the maximum encoded size of this item.
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impl Mul for FixedI128

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type Output = FixedI128

The resulting type after applying the * operator.
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fn mul(self, rhs: Self) -> Self::Output

Performs the * operation. Read more
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impl Neg for FixedI128

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type Output = FixedI128

The resulting type after applying the - operator.
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fn neg(self) -> Self::Output

Performs the unary - operation. Read more
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impl One for FixedI128

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fn one() -> Self

Returns the multiplicative identity element of Self, 1. Read more
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fn set_one(&mut self)

Sets self to the multiplicative identity element of Self, 1.
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fn is_one(&self) -> boolwhere Self: PartialEq,

Returns true if self is equal to the multiplicative identity. Read more
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impl Ord for FixedI128

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fn cmp(&self, other: &FixedI128) -> Ordering

This method returns an Ordering between self and other. Read more
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fn max(self, other: Self) -> Selfwhere Self: Sized,

Compares and returns the maximum of two values. Read more
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fn min(self, other: Self) -> Selfwhere Self: Sized,

Compares and returns the minimum of two values. Read more
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fn clamp(self, min: Self, max: Self) -> Selfwhere Self: Sized + PartialOrd,

Restrict a value to a certain interval. Read more
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impl PartialEq for FixedI128

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fn eq(&self, other: &FixedI128) -> bool

This method tests for self and other values to be equal, and is used by ==.
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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.
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impl PartialOrd for FixedI128

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fn partial_cmp(&self, other: &FixedI128) -> Option<Ordering>

This method returns an ordering between self and other values if one exists. Read more
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fn lt(&self, other: &Rhs) -> bool

This method tests less than (for self and other) and is used by the < operator. Read more
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fn le(&self, other: &Rhs) -> bool

This method tests less than or equal to (for self and other) and is used by the <= operator. Read more
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fn gt(&self, other: &Rhs) -> bool

This method tests greater than (for self and other) and is used by the > operator. Read more
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fn ge(&self, other: &Rhs) -> bool

This method tests greater than or equal to (for self and other) and is used by the >= operator. Read more
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impl Saturating for FixedI128

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

Saturating addition. Compute self + rhs, saturating at the numeric bounds instead of overflowing.
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fn saturating_sub(self, rhs: Self) -> Self

Saturating subtraction. Compute self - rhs, saturating at the numeric bounds instead of overflowing.
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fn saturating_mul(self, rhs: Self) -> Self

Saturating multiply. Compute self * rhs, saturating at the numeric bounds instead of overflowing.
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fn saturating_pow(self, exp: usize) -> Self

Saturating exponentiation. Compute self.pow(exp), saturating at the numeric bounds instead of overflowing.
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fn saturating_less_one(self) -> Selfwhere Self: One,

Decrement self by one, saturating at zero.
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fn saturating_plus_one(self) -> Selfwhere Self: One,

Increment self by one, saturating at the numeric bounds instead of overflowing.
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fn saturating_inc(&mut self)where Self: One,

Increment self by one, saturating.
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fn saturating_dec(&mut self)where Self: One,

Decrement self by one, saturating at zero.
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fn saturating_accrue(&mut self, amount: Self)where Self: One,

Increment self by some amount, saturating.
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fn saturating_reduce(&mut self, amount: Self)where Self: One,

Decrement self by some amount, saturating at zero.
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impl Serialize for FixedI128

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

Serialize this value into the given Serde serializer. Read more
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impl Sub for FixedI128

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type Output = FixedI128

The resulting type after applying the - operator.
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fn sub(self, rhs: Self) -> Self::Output

Performs the - operation. Read more
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impl TypeInfo for FixedI128

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type Identity = FixedI128

The type identifying for which type info is provided. Read more
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fn type_info() -> Type

Returns the static type identifier for Self.
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impl Zero for FixedI128

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fn zero() -> Self

Returns the additive identity element of Self, 0. Read more
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fn is_zero(&self) -> bool

Returns true if self is equal to the additive identity.
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fn set_zero(&mut self)

Sets self to the additive identity element of Self, 0.
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impl Copy for FixedI128

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impl EncodeLike for FixedI128

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impl Eq for FixedI128

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impl StructuralEq for FixedI128

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impl StructuralPartialEq for FixedI128

Auto Trait Implementations§

Blanket Implementations§

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impl<T> Any for Twhere T: 'static + ?Sized,

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fn type_id(&self) -> TypeId

Gets the TypeId of self. Read more
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impl<T> Borrow<T> for Twhere T: ?Sized,

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fn borrow(&self) -> &T

Immutably borrows from an owned value. Read more
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impl<T> BorrowMut<T> for Twhere T: ?Sized,

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fn borrow_mut(&mut self) -> &mut T

Mutably borrows from an owned value. Read more
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impl<T> DecodeAll for Twhere T: Decode,

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fn decode_all(input: &mut &[u8]) -> Result<T, Error>

Decode Self and consume all of the given input data. Read more
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impl<T> DecodeLimit for Twhere T: Decode,

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fn decode_all_with_depth_limit( limit: u32, input: &mut &[u8] ) -> Result<T, Error>

Decode Self and consume all of the given input data. Read more
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fn decode_with_depth_limit<I>(limit: u32, input: &mut I) -> Result<T, Error>where I: Input,

Decode Self with the given maximum recursion depth and advance input by the number of bytes consumed. Read more
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impl<T> EnsureAdd for Twhere T: EnsureAddAssign,

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fn ensure_add(self, v: Self) -> Result<Self, ArithmeticError>

Adds two numbers, checking for overflow. Read more
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impl<T> EnsureAddAssign for Twhere T: CheckedAdd + PartialOrd + Zero,

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fn ensure_add_assign(&mut self, v: Self) -> Result<(), ArithmeticError>

Adds two numbers overwriting the left hand one, checking for overflow. Read more
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impl<T> EnsureDiv for Twhere T: EnsureDivAssign,

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fn ensure_div(self, v: Self) -> Result<Self, ArithmeticError>

Divides two numbers, checking for overflow. Read more
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impl<T> EnsureDivAssign for Twhere T: CheckedDiv + PartialOrd + Zero,

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fn ensure_div_assign(&mut self, v: Self) -> Result<(), ArithmeticError>

Divides two numbers overwriting the left hand one, checking for overflow. Read more
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impl<T> EnsureFixedPointNumber for Twhere T: FixedPointNumber,

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fn ensure_from_rational<N: FixedPointOperand, D: FixedPointOperand>( n: N, d: D ) -> Result<Self, ArithmeticError>

Creates self from a rational number. Equal to n / d. Read more
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fn ensure_mul_int<N: FixedPointOperand>( self, n: N ) -> Result<N, ArithmeticError>

Ensure multiplication for integer type N. Equal to self * n. Read more
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fn ensure_div_int<D: FixedPointOperand>( self, d: D ) -> Result<D, ArithmeticError>

Ensure division for integer type N. Equal to self / d. Read more
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impl<T, S> EnsureFrom<S> for Twhere T: TryFrom<S> + PartialOrd + Zero, S: PartialOrd + Zero,

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fn ensure_from(other: T) -> Result<Self, ArithmeticError>

Performs the conversion returning an ArithmeticError if fails. Read more
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impl<T, S> EnsureInto<S> for Twhere T: TryInto<S> + PartialOrd + Zero, S: PartialOrd + Zero,

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fn ensure_into(self) -> Result<T, ArithmeticError>

Performs the conversion returning an ArithmeticError if fails. Read more
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impl<T> EnsureMul for Twhere T: EnsureMulAssign,

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fn ensure_mul(self, v: Self) -> Result<Self, ArithmeticError>

Multiplies two numbers, checking for overflow. Read more
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impl<T> EnsureMulAssign for Twhere T: CheckedMul + PartialOrd + Zero,

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fn ensure_mul_assign(&mut self, v: Self) -> Result<(), ArithmeticError>

Multiplies two numbers overwriting the left hand one, checking for overflow. Read more
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impl<T> EnsureSub for Twhere T: EnsureSubAssign,

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fn ensure_sub(self, v: Self) -> Result<Self, ArithmeticError>

Subtracts two numbers, checking for overflow. Read more
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impl<T> EnsureSubAssign for Twhere T: CheckedSub + PartialOrd + Zero,

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fn ensure_sub_assign(&mut self, v: Self) -> Result<(), ArithmeticError>

Subtracts two numbers overwriting the left hand one, checking for overflow. Read more
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impl<T> From<T> for T

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fn from(t: T) -> T

Returns the argument unchanged.

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impl<T, U> Into<U> for Twhere U: From<T>,

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fn into(self) -> U

Calls U::from(self).

That is, this conversion is whatever the implementation of From<T> for U chooses to do.

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impl<T> KeyedVec for Twhere T: Codec,

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fn to_keyed_vec(&self, prepend_key: &[u8]) -> Vec<u8>

Return an encoding of Self prepended by given slice.
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impl<T> LowerBounded for Twhere T: Bounded,

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fn min_value() -> T

Returns the smallest finite number this type can represent
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impl<T> SaturatedConversion for T

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fn saturated_from<T>(t: T) -> Selfwhere Self: UniqueSaturatedFrom<T>,

Convert from a value of T into an equivalent instance of Self. Read more
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fn saturated_into<T>(self) -> Twhere Self: UniqueSaturatedInto<T>,

Consume self to return an equivalent value of T. Read more
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impl<T> ThresholdOrd<T> for Twhere T: Ord + PartialOrd + Copy + Clone + Zero + Saturating,

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fn tcmp(&self, other: &T, threshold: T) -> Ordering

Compare if self is threshold greater or less than other.
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impl<T> ToOwned for Twhere T: Clone,

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type Owned = T

The resulting type after obtaining ownership.
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fn to_owned(&self) -> T

Creates owned data from borrowed data, usually by cloning. Read more
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fn clone_into(&self, target: &mut T)

Uses borrowed data to replace owned data, usually by cloning. Read more
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impl<T> ToString for Twhere T: Display + ?Sized,

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default fn to_string(&self) -> String

Converts the given value to a String. Read more
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impl<T, U> TryFrom<U> for Twhere U: Into<T>,

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type Error = Infallible

The type returned in the event of a conversion error.
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fn try_from(value: U) -> Result<T, <T as TryFrom<U>>::Error>

Performs the conversion.
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impl<T, U> TryInto<U> for Twhere U: TryFrom<T>,

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type Error = <U as TryFrom<T>>::Error

The type returned in the event of a conversion error.
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fn try_into(self) -> Result<U, <U as TryFrom<T>>::Error>

Performs the conversion.
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impl<T, S> UniqueSaturatedFrom<T> for Swhere S: TryFrom<T> + Bounded,

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fn unique_saturated_from(t: T) -> S

Convert from a value of T into an equivalent instance of Self.
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impl<T, S> UniqueSaturatedInto<T> for Swhere T: Bounded, S: TryInto<T>,

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fn unique_saturated_into(self) -> T

Consume self to return an equivalent value of T.
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impl<T> UpperBounded for Twhere T: Bounded,

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fn max_value() -> T

Returns the largest finite number this type can represent
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impl<S> Codec for Swhere S: Decode + Encode,

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impl<T> DeserializeOwned for Twhere T: for<'de> Deserialize<'de>,

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impl<T> EncodeLike<&&T> for Twhere T: Encode,

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impl<T> EncodeLike<&T> for Twhere T: Encode,

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impl<T> EncodeLike<&mut T> for Twhere T: Encode,

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impl<T> EncodeLike<Arc<T>> for Twhere T: Encode,

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impl<T> EncodeLike<Box<T>> for Twhere T: Encode,

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impl<'a, T> EncodeLike<Cow<'a, T>> for Twhere T: ToOwned + Encode,

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impl<T> EncodeLike<Rc<T>> for Twhere T: Encode,

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impl<T> Ensure for Twhere T: EnsureOp + EnsureOpAssign,

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impl<T> EnsureOp for Twhere T: EnsureAdd + EnsureSub + EnsureMul + EnsureDiv,

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impl<T> EnsureOpAssign for Twhere T: EnsureAddAssign + EnsureSubAssign + EnsureMulAssign + EnsureDivAssign,

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impl<S> FullCodec for Swhere S: Decode + FullEncode,

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impl<S> FullEncode for Swhere S: Encode + EncodeLike,

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impl<T> JsonSchemaMaybe for T

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impl<T> StaticTypeInfo for Twhere T: TypeInfo + 'static,