Struct Zero 

pub struct Zero;

Zero

A ZST who’s value is always zero.

Can be used in specific situations where one knows that, for example, the right-hand side b is always zero. Operations related to b should then be compiled away because the operations on its elements are no-ops.

The same applies to a matrix provider whose coefficients are structurally absent: the incidence matrix of a network is mostly zero, and storing a rational number for each of those entries wastes both space and time. This type stores the coefficient in no space at all, and Absorb applies it to a wide accumulator without ever materialising a 0: adding it is nothing at all, multiplying by it clears the accumulator.

Absent traits

There is deliberately no NonZero impl: this type is zero, and the whole point of that trait is to assert the opposite.

Trait Implementations

impl Abs for Zero

fn abs(self) -> Self

The absolute value of a number.

impl Absorb<Zero> for Rational8

fn from_narrow(_: &Zero) -> Self

The narrow value in the wide type.

fn add_narrow(&mut self, _: &Zero)

Add a narrow value to this one.

fn sub_narrow(&mut self, _: &Zero)

Subtract a narrow value from this one.

fn mul_narrow(&self, _: &Zero) -> Self

Multiply this value by a narrow one.

fn add_mul_narrow(&mut self, _: &Zero, _: &Self)

Add the product of a narrow value and a wide one to this value.

impl Absorb<Zero> for Rational16

fn from_narrow(_: &Zero) -> Self

The narrow value in the wide type.

fn add_narrow(&mut self, _: &Zero)

Add a narrow value to this one.

fn sub_narrow(&mut self, _: &Zero)

Subtract a narrow value from this one.

fn mul_narrow(&self, _: &Zero) -> Self

Multiply this value by a narrow one.

fn add_mul_narrow(&mut self, _: &Zero, _: &Self)

Add the product of a narrow value and a wide one to this value.

impl Absorb<Zero> for Rational32

fn from_narrow(_: &Zero) -> Self

The narrow value in the wide type.

fn add_narrow(&mut self, _: &Zero)

Add a narrow value to this one.

fn sub_narrow(&mut self, _: &Zero)

Subtract a narrow value from this one.

fn mul_narrow(&self, _: &Zero) -> Self

Multiply this value by a narrow one.

fn add_mul_narrow(&mut self, _: &Zero, _: &Self)

Add the product of a narrow value and a wide one to this value.

impl Absorb<Zero> for Rational64

fn from_narrow(_: &Zero) -> Self

The narrow value in the wide type.

fn add_narrow(&mut self, _: &Zero)

Add a narrow value to this one.

fn sub_narrow(&mut self, _: &Zero)

Subtract a narrow value from this one.

fn mul_narrow(&self, _: &Zero) -> Self

Multiply this value by a narrow one.

fn add_mul_narrow(&mut self, _: &Zero, _: &Self)

Add the product of a narrow value and a wide one to this value.

impl Absorb<Zero> for Rational128

fn from_narrow(_: &Zero) -> Self

The narrow value in the wide type.

fn add_narrow(&mut self, _: &Zero)

Add a narrow value to this one.

fn sub_narrow(&mut self, _: &Zero)

Subtract a narrow value from this one.

fn mul_narrow(&self, _: &Zero) -> Self

Multiply this value by a narrow one.

fn add_mul_narrow(&mut self, _: &Zero, _: &Self)

Add the product of a narrow value and a wide one to this value.

impl Absorb<Zero> for RationalUsize

fn from_narrow(_: &Zero) -> Self

The narrow value in the wide type.

fn add_narrow(&mut self, _: &Zero)

Add a narrow value to this one.

fn sub_narrow(&mut self, _: &Zero)

Subtract a narrow value from this one.

fn mul_narrow(&self, _: &Zero) -> Self

Multiply this value by a narrow one.

fn add_mul_narrow(&mut self, _: &Zero, _: &Self)

Add the product of a narrow value and a wide one to this value.

impl<const S: usize> Absorb<Zero> for Big<S>

fn from_narrow(_: &Zero) -> Self

The narrow value in the wide type.

fn add_narrow(&mut self, _: &Zero)

Add a narrow value to this one.

fn sub_narrow(&mut self, _: &Zero)

Subtract a narrow value from this one.

fn mul_narrow(&self, _: &Zero) -> Self

Multiply this value by a narrow one.

fn add_mul_narrow(&mut self, _: &Zero, _: &Self)

Add the product of a narrow value and a wide one to this value.

impl Add for Zero

type Output = Zero

The resulting type after applying the + operator.

fn add(self, _: Self) -> Self::Output

Performs the + operation.

impl Add<&Zero> for i8

type Output = i8

The resulting type after applying the + operator.

fn add(self, _: &Zero) -> Self::Output

Performs the + operation.

impl Add<&Zero> for i16

type Output = i16

The resulting type after applying the + operator.

fn add(self, _: &Zero) -> Self::Output

Performs the + operation.

impl Add<&Zero> for i32

type Output = i32

The resulting type after applying the + operator.

fn add(self, _: &Zero) -> Self::Output

Performs the + operation.

impl Add<&Zero> for i64

type Output = i64

The resulting type after applying the + operator.

fn add(self, _: &Zero) -> Self::Output

Performs the + operation.

impl Add<&Zero> for i128

type Output = i128

The resulting type after applying the + operator.

fn add(self, _: &Zero) -> Self::Output

Performs the + operation.

impl Add<&Zero> for u8

type Output = u8

The resulting type after applying the + operator.

fn add(self, _: &Zero) -> Self::Output

Performs the + operation.

impl Add<&Zero> for u16

type Output = u16

The resulting type after applying the + operator.

fn add(self, _: &Zero) -> Self::Output

Performs the + operation.

impl Add<&Zero> for u32

type Output = u32

The resulting type after applying the + operator.

fn add(self, _: &Zero) -> Self::Output

Performs the + operation.

impl Add<&Zero> for u64

type Output = u64

The resulting type after applying the + operator.

fn add(self, _: &Zero) -> Self::Output

Performs the + operation.

impl Add<&Zero> for u128

type Output = u128

The resulting type after applying the + operator.

fn add(self, _: &Zero) -> Self::Output

Performs the + operation.

impl Add<&Zero> for Rational8

type Output = Ratio<Sign, u8, u8>

The resulting type after applying the + operator.

fn add(self, _: &Zero) -> Self::Output

Performs the + operation.

impl Add<&Zero> for Rational16

type Output = Ratio<Sign, u16, u16>

The resulting type after applying the + operator.

fn add(self, _: &Zero) -> Self::Output

Performs the + operation.

impl Add<&Zero> for Rational32

type Output = Ratio<Sign, u32, u32>

The resulting type after applying the + operator.

fn add(self, _: &Zero) -> Self::Output

Performs the + operation.

impl Add<&Zero> for Rational64

type Output = Ratio<Sign, u64, u64>

The resulting type after applying the + operator.

fn add(self, _: &Zero) -> Self::Output

Performs the + operation.

impl Add<&Zero> for Rational128

type Output = Ratio<Sign, u128, u128>

The resulting type after applying the + operator.

fn add(self, _: &Zero) -> Self::Output

Performs the + operation.

impl<const S: usize> Add<&Zero> for Big<S>

type Output = Ratio<Sign, Ubig<S>, NonZeroUbig<S>>

The resulting type after applying the + operator.

fn add(self, _: &Zero) -> Self::Output

Performs the + operation.

impl Add<Zero> for i8

type Output = i8

The resulting type after applying the + operator.

fn add(self, _: Zero) -> Self::Output

Performs the + operation.

impl Add<Zero> for i16

type Output = i16

The resulting type after applying the + operator.

fn add(self, _: Zero) -> Self::Output

Performs the + operation.

impl Add<Zero> for i32

type Output = i32

The resulting type after applying the + operator.

fn add(self, _: Zero) -> Self::Output

Performs the + operation.

impl Add<Zero> for i64

type Output = i64

The resulting type after applying the + operator.

fn add(self, _: Zero) -> Self::Output

Performs the + operation.

impl Add<Zero> for i128

type Output = i128

The resulting type after applying the + operator.

fn add(self, _: Zero) -> Self::Output

Performs the + operation.

impl Add<Zero> for u8

type Output = u8

The resulting type after applying the + operator.

fn add(self, _: Zero) -> Self::Output

Performs the + operation.

impl Add<Zero> for u16

type Output = u16

The resulting type after applying the + operator.

fn add(self, _: Zero) -> Self::Output

Performs the + operation.

impl Add<Zero> for u32

type Output = u32

The resulting type after applying the + operator.

fn add(self, _: Zero) -> Self::Output

Performs the + operation.

impl Add<Zero> for u64

type Output = u64

The resulting type after applying the + operator.

fn add(self, _: Zero) -> Self::Output

Performs the + operation.

impl Add<Zero> for u128

type Output = u128

The resulting type after applying the + operator.

fn add(self, _: Zero) -> Self::Output

Performs the + operation.

impl Add<Zero> for Rational8

type Output = Ratio<Sign, u8, u8>

The resulting type after applying the + operator.

fn add(self, _: Zero) -> Self::Output

Performs the + operation.

impl Add<Zero> for Rational16

type Output = Ratio<Sign, u16, u16>

The resulting type after applying the + operator.

fn add(self, _: Zero) -> Self::Output

Performs the + operation.

impl Add<Zero> for Rational32

type Output = Ratio<Sign, u32, u32>

The resulting type after applying the + operator.

fn add(self, _: Zero) -> Self::Output

Performs the + operation.

impl Add<Zero> for Rational64

type Output = Ratio<Sign, u64, u64>

The resulting type after applying the + operator.

fn add(self, _: Zero) -> Self::Output

Performs the + operation.

impl Add<Zero> for Rational128

type Output = Ratio<Sign, u128, u128>

The resulting type after applying the + operator.

fn add(self, _: Zero) -> Self::Output

Performs the + operation.

impl<const S: usize> Add<Zero> for Big<S>

type Output = Ratio<Sign, Ubig<S>, NonZeroUbig<S>>

The resulting type after applying the + operator.

fn add(self, _: Zero) -> Self::Output

Performs the + operation.

impl AddAssign<&Zero> for i8

fn add_assign(&mut self, _: &Zero)

Performs the += operation.

impl AddAssign<&Zero> for i16

fn add_assign(&mut self, _: &Zero)

Performs the += operation.

impl AddAssign<&Zero> for i32

fn add_assign(&mut self, _: &Zero)

Performs the += operation.

impl AddAssign<&Zero> for i64

fn add_assign(&mut self, _: &Zero)

Performs the += operation.

impl AddAssign<&Zero> for i128

fn add_assign(&mut self, _: &Zero)

Performs the += operation.

impl AddAssign<&Zero> for u8

fn add_assign(&mut self, _: &Zero)

Performs the += operation.

impl AddAssign<&Zero> for u16

fn add_assign(&mut self, _: &Zero)

Performs the += operation.

impl AddAssign<&Zero> for u32

fn add_assign(&mut self, _: &Zero)

Performs the += operation.

impl AddAssign<&Zero> for u64

fn add_assign(&mut self, _: &Zero)

Performs the += operation.

impl AddAssign<&Zero> for u128

fn add_assign(&mut self, _: &Zero)

Performs the += operation.

impl AddAssign<&Zero> for Rational8

fn add_assign(&mut self, _: &Zero)

Performs the += operation.

impl AddAssign<&Zero> for Rational16

fn add_assign(&mut self, _: &Zero)

Performs the += operation.

impl AddAssign<&Zero> for Rational32

fn add_assign(&mut self, _: &Zero)

Performs the += operation.

impl AddAssign<&Zero> for Rational64

fn add_assign(&mut self, _: &Zero)

Performs the += operation.

impl AddAssign<&Zero> for Rational128

fn add_assign(&mut self, _: &Zero)

Performs the += operation.

impl<const S: usize> AddAssign<&Zero> for Big<S>

fn add_assign(&mut self, _: &Zero)

Performs the += operation.

impl AddAssign<Zero> for Rational8

fn add_assign(&mut self, _: Zero)

Performs the += operation.

impl AddAssign<Zero> for Rational16

fn add_assign(&mut self, _: Zero)

Performs the += operation.

impl AddAssign<Zero> for Rational32

fn add_assign(&mut self, _: Zero)

Performs the += operation.

impl AddAssign<Zero> for Rational64

fn add_assign(&mut self, _: Zero)

Performs the += operation.

impl AddAssign<Zero> for Rational128

fn add_assign(&mut self, _: Zero)

Performs the += operation.

impl<const S: usize> AddAssign<Zero> for Big<S>

fn add_assign(&mut self, _: Zero)

Performs the += operation.

impl Clone for Zero

fn clone(&self) -> Self

Returns a duplicate of the value.

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

Performs copy-assignment from source.

impl Copy for Zero

impl Debug for Zero

Debug forwards to Display, because 0 reads better in test output than Zero.

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

Formats the value using the given formatter.

impl Default for Zero

fn default() -> Self

Returns the “default value” for a type.

impl Display for Zero

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

Formats the value using the given formatter.

impl Eq for Zero

impl From<&Zero> for i8

fn from(_: &Zero) -> Self

Converts to this type from the input type.

impl From<&Zero> for i16

fn from(_: &Zero) -> Self

Converts to this type from the input type.

impl From<&Zero> for i32

fn from(_: &Zero) -> Self

Converts to this type from the input type.

impl From<&Zero> for i64

fn from(_: &Zero) -> Self

Converts to this type from the input type.

impl From<&Zero> for i128

fn from(_: &Zero) -> Self

Converts to this type from the input type.

impl From<&Zero> for u8

fn from(_: &Zero) -> Self

Converts to this type from the input type.

impl From<&Zero> for u16

fn from(_: &Zero) -> Self

Converts to this type from the input type.

impl From<&Zero> for u32

fn from(_: &Zero) -> Self

Converts to this type from the input type.

impl From<&Zero> for u64

fn from(_: &Zero) -> Self

Converts to this type from the input type.

impl From<&Zero> for u128

fn from(_: &Zero) -> Self

Converts to this type from the input type.

impl From<&Zero> for Rational8

fn from(_: &Zero) -> Self

Converts to this type from the input type.

impl From<&Zero> for Rational16

fn from(_: &Zero) -> Self

Converts to this type from the input type.

impl From<&Zero> for Rational32

fn from(_: &Zero) -> Self

Converts to this type from the input type.

impl From<&Zero> for Rational64

fn from(_: &Zero) -> Self

Converts to this type from the input type.

impl From<&Zero> for Rational128

fn from(_: &Zero) -> Self

Converts to this type from the input type.

impl<const S: usize> From<&Zero> for Big<S>

fn from(_: &Zero) -> Self

Converts to this type from the input type.

impl From<Zero> for i8

fn from(_: Zero) -> Self

Converts to this type from the input type.

impl From<Zero> for i16

fn from(_: Zero) -> Self

Converts to this type from the input type.

impl From<Zero> for i32

fn from(_: Zero) -> Self

Converts to this type from the input type.

impl From<Zero> for i64

fn from(_: Zero) -> Self

Converts to this type from the input type.

impl From<Zero> for i128

fn from(_: Zero) -> Self

Converts to this type from the input type.

impl From<Zero> for u8

fn from(_: Zero) -> Self

Converts to this type from the input type.

impl From<Zero> for u16

fn from(_: Zero) -> Self

Converts to this type from the input type.

impl From<Zero> for u32

fn from(_: Zero) -> Self

Converts to this type from the input type.

impl From<Zero> for u64

fn from(_: Zero) -> Self

Converts to this type from the input type.

impl From<Zero> for u128

fn from(_: Zero) -> Self

Converts to this type from the input type.

impl From<Zero> for Rational8

fn from(_: Zero) -> Self

Converts to this type from the input type.

impl From<Zero> for Rational16

fn from(_: Zero) -> Self

Converts to this type from the input type.

impl From<Zero> for Rational32

fn from(_: Zero) -> Self

Converts to this type from the input type.

impl From<Zero> for Rational64

fn from(_: Zero) -> Self

Converts to this type from the input type.

impl From<Zero> for Rational128

fn from(_: Zero) -> Self

Converts to this type from the input type.

impl<const S: usize> From<Zero> for Big<S>

fn from(_: Zero) -> Self

Converts to this type from the input type.

impl Hash for Zero

fn hash<__H: Hasher>(&self, state: &mut __H)

Feeds this value into the given Hasher.

fn hash_slice<H>(data: &[Self], state: &mut H)

where H: Hasher, Self: Sized,

Feeds a slice of this type into the given Hasher.

impl Mul for Zero

type Output = Zero

The resulting type after applying the * operator.

fn mul(self, _: Self) -> Self::Output

Performs the * operation.

impl Mul<&Zero> for i8

type Output = i8

The resulting type after applying the * operator.

fn mul(self, _: &Zero) -> Self::Output

Performs the * operation.

impl Mul<&Zero> for &i8

type Output = i8

The resulting type after applying the * operator.

fn mul(self, _: &Zero) -> Self::Output

Performs the * operation.

impl Mul<&Zero> for i16

type Output = i16

The resulting type after applying the * operator.

fn mul(self, _: &Zero) -> Self::Output

Performs the * operation.

impl Mul<&Zero> for &i16

type Output = i16

The resulting type after applying the * operator.

fn mul(self, _: &Zero) -> Self::Output

Performs the * operation.

impl Mul<&Zero> for i32

type Output = i32

The resulting type after applying the * operator.

fn mul(self, _: &Zero) -> Self::Output

Performs the * operation.

impl Mul<&Zero> for &i32

type Output = i32

The resulting type after applying the * operator.

fn mul(self, _: &Zero) -> Self::Output

Performs the * operation.

impl Mul<&Zero> for i64

type Output = i64

The resulting type after applying the * operator.

fn mul(self, _: &Zero) -> Self::Output

Performs the * operation.

impl Mul<&Zero> for &i64

type Output = i64

The resulting type after applying the * operator.

fn mul(self, _: &Zero) -> Self::Output

Performs the * operation.

impl Mul<&Zero> for i128

type Output = i128

The resulting type after applying the * operator.

fn mul(self, _: &Zero) -> Self::Output

Performs the * operation.

impl Mul<&Zero> for &i128

type Output = i128

The resulting type after applying the * operator.

fn mul(self, _: &Zero) -> Self::Output

Performs the * operation.

impl Mul<&Zero> for u8

type Output = u8

The resulting type after applying the * operator.

fn mul(self, _: &Zero) -> Self::Output

Performs the * operation.

impl Mul<&Zero> for &u8

type Output = u8

The resulting type after applying the * operator.

fn mul(self, _: &Zero) -> Self::Output

Performs the * operation.

impl Mul<&Zero> for u16

type Output = u16

The resulting type after applying the * operator.

fn mul(self, _: &Zero) -> Self::Output

Performs the * operation.

impl Mul<&Zero> for &u16

type Output = u16

The resulting type after applying the * operator.

fn mul(self, _: &Zero) -> Self::Output

Performs the * operation.

impl Mul<&Zero> for u32

type Output = u32

The resulting type after applying the * operator.

fn mul(self, _: &Zero) -> Self::Output

Performs the * operation.

impl Mul<&Zero> for &u32

type Output = u32

The resulting type after applying the * operator.

fn mul(self, _: &Zero) -> Self::Output

Performs the * operation.

impl Mul<&Zero> for u64

type Output = u64

The resulting type after applying the * operator.

fn mul(self, _: &Zero) -> Self::Output

Performs the * operation.

impl Mul<&Zero> for &u64

type Output = u64

The resulting type after applying the * operator.

fn mul(self, _: &Zero) -> Self::Output

Performs the * operation.

impl Mul<&Zero> for u128

type Output = u128

The resulting type after applying the * operator.

fn mul(self, _: &Zero) -> Self::Output

Performs the * operation.

impl Mul<&Zero> for &u128

type Output = u128

The resulting type after applying the * operator.

fn mul(self, _: &Zero) -> Self::Output

Performs the * operation.

impl Mul<&Zero> for Rational8

type Output = Ratio<Sign, u8, u8>

The resulting type after applying the * operator.

fn mul(self, _: &Zero) -> Self::Output

Performs the * operation.

impl Mul<&Zero> for &Rational8

type Output = Ratio<Sign, u8, u8>

The resulting type after applying the * operator.

fn mul(self, _: &Zero) -> Self::Output

Performs the * operation.

impl Mul<&Zero> for Rational16

type Output = Ratio<Sign, u16, u16>

The resulting type after applying the * operator.

fn mul(self, _: &Zero) -> Self::Output

Performs the * operation.

impl Mul<&Zero> for &Rational16

type Output = Ratio<Sign, u16, u16>

The resulting type after applying the * operator.

fn mul(self, _: &Zero) -> Self::Output

Performs the * operation.

impl Mul<&Zero> for Rational32

type Output = Ratio<Sign, u32, u32>

The resulting type after applying the * operator.

fn mul(self, _: &Zero) -> Self::Output

Performs the * operation.

impl Mul<&Zero> for &Rational32

type Output = Ratio<Sign, u32, u32>

The resulting type after applying the * operator.

fn mul(self, _: &Zero) -> Self::Output

Performs the * operation.

impl Mul<&Zero> for Rational64

type Output = Ratio<Sign, u64, u64>

The resulting type after applying the * operator.

fn mul(self, _: &Zero) -> Self::Output

Performs the * operation.

impl Mul<&Zero> for &Rational64

type Output = Ratio<Sign, u64, u64>

The resulting type after applying the * operator.

fn mul(self, _: &Zero) -> Self::Output

Performs the * operation.

impl Mul<&Zero> for Rational128

type Output = Ratio<Sign, u128, u128>

The resulting type after applying the * operator.

fn mul(self, _: &Zero) -> Self::Output

Performs the * operation.

impl Mul<&Zero> for &Rational128

type Output = Ratio<Sign, u128, u128>

The resulting type after applying the * operator.

fn mul(self, _: &Zero) -> Self::Output

Performs the * operation.

impl<const S: usize> Mul<&Zero> for Big<S>

type Output = Ratio<Sign, Ubig<S>, NonZeroUbig<S>>

The resulting type after applying the * operator.

fn mul(self, _: &Zero) -> Self::Output

Performs the * operation.

impl<const S: usize> Mul<&Zero> for &Big<S>

type Output = Ratio<Sign, Ubig<S>, NonZeroUbig<S>>

The resulting type after applying the * operator.

fn mul(self, _: &Zero) -> Self::Output

Performs the * operation.

impl Mul<Zero> for i8

type Output = i8

The resulting type after applying the * operator.

fn mul(self, _: Zero) -> Self::Output

Performs the * operation.

impl Mul<Zero> for i16

type Output = i16

The resulting type after applying the * operator.

fn mul(self, _: Zero) -> Self::Output

Performs the * operation.

impl Mul<Zero> for i32

type Output = i32

The resulting type after applying the * operator.

fn mul(self, _: Zero) -> Self::Output

Performs the * operation.

impl Mul<Zero> for i64

type Output = i64

The resulting type after applying the * operator.

fn mul(self, _: Zero) -> Self::Output

Performs the * operation.

impl Mul<Zero> for i128

type Output = i128

The resulting type after applying the * operator.

fn mul(self, _: Zero) -> Self::Output

Performs the * operation.

impl Mul<Zero> for u8

type Output = u8

The resulting type after applying the * operator.

fn mul(self, _: Zero) -> Self::Output

Performs the * operation.

impl Mul<Zero> for u16

type Output = u16

The resulting type after applying the * operator.

fn mul(self, _: Zero) -> Self::Output

Performs the * operation.

impl Mul<Zero> for u32

type Output = u32

The resulting type after applying the * operator.

fn mul(self, _: Zero) -> Self::Output

Performs the * operation.

impl Mul<Zero> for u64

type Output = u64

The resulting type after applying the * operator.

fn mul(self, _: Zero) -> Self::Output

Performs the * operation.

impl Mul<Zero> for u128

type Output = u128

The resulting type after applying the * operator.

fn mul(self, _: Zero) -> Self::Output

Performs the * operation.

impl Mul<Zero> for Rational8

type Output = Ratio<Sign, u8, u8>

The resulting type after applying the * operator.

fn mul(self, _: Zero) -> Self::Output

Performs the * operation.

impl Mul<Zero> for &Rational8

type Output = Ratio<Sign, u8, u8>

The resulting type after applying the * operator.

fn mul(self, _: Zero) -> Self::Output

Performs the * operation.

impl Mul<Zero> for Rational16

type Output = Ratio<Sign, u16, u16>

The resulting type after applying the * operator.

fn mul(self, _: Zero) -> Self::Output

Performs the * operation.

impl Mul<Zero> for &Rational16

type Output = Ratio<Sign, u16, u16>

The resulting type after applying the * operator.

fn mul(self, _: Zero) -> Self::Output

Performs the * operation.

impl Mul<Zero> for Rational32

type Output = Ratio<Sign, u32, u32>

The resulting type after applying the * operator.

fn mul(self, _: Zero) -> Self::Output

Performs the * operation.

impl Mul<Zero> for &Rational32

type Output = Ratio<Sign, u32, u32>

The resulting type after applying the * operator.

fn mul(self, _: Zero) -> Self::Output

Performs the * operation.

impl Mul<Zero> for Rational64

type Output = Ratio<Sign, u64, u64>

The resulting type after applying the * operator.

fn mul(self, _: Zero) -> Self::Output

Performs the * operation.

impl Mul<Zero> for &Rational64

type Output = Ratio<Sign, u64, u64>

The resulting type after applying the * operator.

fn mul(self, _: Zero) -> Self::Output

Performs the * operation.

impl Mul<Zero> for Rational128

type Output = Ratio<Sign, u128, u128>

The resulting type after applying the * operator.

fn mul(self, _: Zero) -> Self::Output

Performs the * operation.

impl Mul<Zero> for &Rational128

type Output = Ratio<Sign, u128, u128>

The resulting type after applying the * operator.

fn mul(self, _: Zero) -> Self::Output

Performs the * operation.

impl<const S: usize> Mul<Zero> for Big<S>

type Output = Ratio<Sign, Ubig<S>, NonZeroUbig<S>>

The resulting type after applying the * operator.

fn mul(self, _: Zero) -> Self::Output

Performs the * operation.

impl<const S: usize> Mul<Zero> for &Big<S>

type Output = Ratio<Sign, Ubig<S>, NonZeroUbig<S>>

The resulting type after applying the * operator.

fn mul(self, _: Zero) -> Self::Output

Performs the * operation.

impl MulAssign<&Zero> for Rational8

fn mul_assign(&mut self, _: &Zero)

Performs the *= operation.

impl MulAssign<&Zero> for Rational16

fn mul_assign(&mut self, _: &Zero)

Performs the *= operation.

impl MulAssign<&Zero> for Rational32

fn mul_assign(&mut self, _: &Zero)

Performs the *= operation.

impl MulAssign<&Zero> for Rational64

fn mul_assign(&mut self, _: &Zero)

Performs the *= operation.

impl MulAssign<&Zero> for Rational128

fn mul_assign(&mut self, _: &Zero)

Performs the *= operation.

impl<const S: usize> MulAssign<&Zero> for Big<S>

fn mul_assign(&mut self, _: &Zero)

Performs the *= operation.

impl MulAssign<Zero> for Rational8

fn mul_assign(&mut self, _: Zero)

Performs the *= operation.

impl MulAssign<Zero> for Rational16

fn mul_assign(&mut self, _: Zero)

Performs the *= operation.

impl MulAssign<Zero> for Rational32

fn mul_assign(&mut self, _: Zero)

Performs the *= operation.

impl MulAssign<Zero> for Rational64

fn mul_assign(&mut self, _: Zero)

Performs the *= operation.

impl MulAssign<Zero> for Rational128

fn mul_assign(&mut self, _: Zero)

Performs the *= operation.

impl<const S: usize> MulAssign<Zero> for Big<S>

fn mul_assign(&mut self, _: Zero)

Performs the *= operation.

impl Neg for Zero

type Output = Zero

The resulting type after applying the - operator.

fn neg(self) -> Self::Output

Performs the unary - operation.

impl Negateable for Zero

Negating zero is a no-op, and the result is representable, so this type is negateable.

fn negate(&mut self)

Negate the number, e.g. go from 1 to -1.

impl Ord for Zero

fn cmp(&self, other: &Self) -> 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.

fn clamp_to<R>(self, range: R) -> Self

where Self: Sized, R: ClampBounds<Self>,

🔬This is a nightly-only experimental API. (clamp_to)

Restrict a value to a certain range.

impl PartialEq for Zero

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

Equality operator ==.

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

Inequality operator !=.

impl PartialOrd for Zero

fn partial_cmp(&self, other: &Self) -> 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 Signed for Zero

The only value of this type is 0, which is neither positive nor negative.

fn signum(&self) -> Sign

Returns the sign of the number.

fn is_positive(&self) -> bool

Whether the number is (strictly) greater than zero.

fn is_negative(&self) -> bool

Whether the number is (strictly) smaller than zero.

impl StructuralPartialEq for Zero

impl Sub<&Zero> for Rational8

type Output = Ratio<Sign, u8, u8>

The resulting type after applying the - operator.

fn sub(self, _: &Zero) -> Self::Output

Performs the - operation.

impl Sub<&Zero> for Rational16

type Output = Ratio<Sign, u16, u16>

The resulting type after applying the - operator.

fn sub(self, _: &Zero) -> Self::Output

Performs the - operation.

impl Sub<&Zero> for Rational32

type Output = Ratio<Sign, u32, u32>

The resulting type after applying the - operator.

fn sub(self, _: &Zero) -> Self::Output

Performs the - operation.

impl Sub<&Zero> for Rational64

type Output = Ratio<Sign, u64, u64>

The resulting type after applying the - operator.

fn sub(self, _: &Zero) -> Self::Output

Performs the - operation.

impl Sub<&Zero> for Rational128

type Output = Ratio<Sign, u128, u128>

The resulting type after applying the - operator.

fn sub(self, _: &Zero) -> Self::Output

Performs the - operation.

impl<const S: usize> Sub<&Zero> for Big<S>

type Output = Ratio<Sign, Ubig<S>, NonZeroUbig<S>>

The resulting type after applying the - operator.

fn sub(self, _: &Zero) -> Self::Output

Performs the - operation.

impl Sub<Zero> for Rational8

type Output = Ratio<Sign, u8, u8>

The resulting type after applying the - operator.

fn sub(self, _: Zero) -> Self::Output

Performs the - operation.

impl Sub<Zero> for Rational16

type Output = Ratio<Sign, u16, u16>

The resulting type after applying the - operator.

fn sub(self, _: Zero) -> Self::Output

Performs the - operation.

impl Sub<Zero> for Rational32

type Output = Ratio<Sign, u32, u32>

The resulting type after applying the - operator.

fn sub(self, _: Zero) -> Self::Output

Performs the - operation.

impl Sub<Zero> for Rational64

type Output = Ratio<Sign, u64, u64>

The resulting type after applying the - operator.

fn sub(self, _: Zero) -> Self::Output

Performs the - operation.

impl Sub<Zero> for Rational128

type Output = Ratio<Sign, u128, u128>

The resulting type after applying the - operator.

fn sub(self, _: Zero) -> Self::Output

Performs the - operation.

impl<const S: usize> Sub<Zero> for Big<S>

type Output = Ratio<Sign, Ubig<S>, NonZeroUbig<S>>

The resulting type after applying the - operator.

fn sub(self, _: Zero) -> Self::Output

Performs the - operation.

impl<const S: usize> SubAssign<&Zero> for Big<S>

fn sub_assign(&mut self, _: &Zero)

Performs the -= operation.

impl SubAssign<Zero> for Rational8

fn sub_assign(&mut self, _: Zero)

Performs the -= operation.

impl SubAssign<Zero> for Rational16

fn sub_assign(&mut self, _: Zero)

Performs the -= operation.

impl SubAssign<Zero> for Rational32

fn sub_assign(&mut self, _: Zero)

Performs the -= operation.

impl SubAssign<Zero> for Rational64

fn sub_assign(&mut self, _: Zero)

Performs the -= operation.

impl SubAssign<Zero> for Rational128

fn sub_assign(&mut self, _: Zero)

Performs the -= operation.

impl<const S: usize> SubAssign<Zero> for Big<S>

fn sub_assign(&mut self, _: Zero)

Performs the -= operation.

impl Zero for Zero

fn zero() -> Self

Returns the additive identity element of Self, 0.

fn is_zero(&self) -> bool

Returns true if self is equal to the additive identity.

fn set_zero(&mut self)

Sets self to the additive identity element of Self, 0.