Type Alias Rational8 

pub type Rational8 = Ratio<Sign, u8, u8>;

A signed ratio between two small integers.

Aliased Type

pub struct Rational8 { /* private fields */ }

Implementations

impl Rational8

pub fn new(numerator: i8, denominator: u8) -> Option<Self>

A ratio in lowest terms, or None when the denominator is zero.

Range

The magnitude of this type is stored unsigned, while this constructor takes a signed numerator of the same width. A Rational8 therefore represents every value from -255 to 255, but this constructor only reaches -128 to 127; the values in between are reached by FromStr, by FromPrimitive from a wider primitive, and by arithmetic. They are representable but not convertible back: to_i8 returns None for them, because an i8 is what doesn’t fit, not the ratio.

pub fn new_signed<T: Into<Sign>>( sign: T, numerator: u8, denominator: u8, ) -> Option<Self>

A ratio in lowest terms from a sign and a magnitude.

Return value

None when the arguments describe no number: the denominator has to be nonzero, and the sign has to be [Sign::Zero] exactly when the numerator is zero. These invariants used to be checked with debug_assert! only, which let a release build construct a ratio with a zero denominator; Big::new_signed returns an Option for the same reason.

Trait Implementations

impl<N> Absorb<&N> for Rational8

where Rational8: Absorb<N>,

A provider that hands out references to what it stores is read through them.

fn from_narrow(narrow: &&N) -> Self

The narrow value in the wide type.

fn add_narrow(&mut self, narrow: &&N)

Add a narrow value to this one.

fn sub_narrow(&mut self, narrow: &&N)

Subtract a narrow value from this one.

fn mul_narrow(&self, narrow: &&N) -> Self

Multiply this value by a narrow one.

fn add_mul_narrow(&mut self, narrow: &&N, other: &Self)

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

impl Absorb<Binary> for Rational8

fn from_narrow(narrow: &Binary) -> Self

The narrow value in the wide type.

fn add_narrow(&mut self, narrow: &Binary)

Add a narrow value to this one.

fn sub_narrow(&mut self, narrow: &Binary)

Subtract a narrow value from this one.

fn mul_narrow(&self, narrow: &Binary) -> Self

Multiply this value by a narrow one.

fn add_mul_narrow(&mut self, narrow: &Binary, other: &Self)

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

impl Absorb<One> for Rational8

fn from_narrow(_: &One) -> Self

The narrow value in the wide type.

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

Add a narrow value to this one.

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

Subtract a narrow value from this one.

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

Multiply this value by a narrow one.

fn add_mul_narrow(&mut self, _: &One, other: &Self)

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

impl<N> Absorb<Option<N>> for Rational8

where Rational8: Absorb<N>,

An absent value is zero, so it contributes nothing.

fn from_narrow(narrow: &Option<N>) -> Self

The narrow value in the wide type.

fn add_narrow(&mut self, narrow: &Option<N>)

Add a narrow value to this one.

fn sub_narrow(&mut self, narrow: &Option<N>)

Subtract a narrow value from this one.

fn mul_narrow(&self, narrow: &Option<N>) -> Self

Multiply this value by a narrow one.

fn add_mul_narrow(&mut self, narrow: &Option<N>, other: &Self)

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

impl Absorb<SignedOne> for Rational8

fn from_narrow(narrow: &SignedOne) -> Self

The narrow value in the wide type.

fn add_narrow(&mut self, narrow: &SignedOne)

Add a narrow value to this one.

fn sub_narrow(&mut self, narrow: &SignedOne)

Subtract a narrow value from this one.

fn mul_narrow(&self, narrow: &SignedOne) -> Self

Multiply this value by a narrow one.

fn add_mul_narrow(&mut self, narrow: &SignedOne, other: &Self)

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

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<i8> for Rational8

fn from_narrow(narrow: &i8) -> Self

The narrow value in the wide type.

fn add_narrow(&mut self, narrow: &i8)

Add a narrow value to this one.

fn sub_narrow(&mut self, narrow: &i8)

Subtract a narrow value from this one.

fn mul_narrow(&self, narrow: &i8) -> Self

Multiply this value by a narrow one.

fn add_mul_narrow(&mut self, narrow: &i8, other: &Self)

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

impl Absorb<u8> for Rational8

fn from_narrow(narrow: &u8) -> Self

The narrow value in the wide type.

fn add_narrow(&mut self, narrow: &u8)

Add a narrow value to this one.

fn sub_narrow(&mut self, narrow: &u8)

Subtract a narrow value from this one.

fn mul_narrow(&self, narrow: &u8) -> Self

Multiply this value by a narrow one.

fn add_mul_narrow(&mut self, narrow: &u8, other: &Self)

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

impl<'a> Add for &'a Rational8

type Output = Ratio<Sign, u8, u8>

The resulting type after applying the + operator.

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

Performs the + operation.

impl Add for Rational8

type Output = Ratio<Sign, u8, u8>

The resulting type after applying the + operator.

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

Performs the + operation.

impl Add<&NonZero<i8>> for Rational8

type Output = Ratio<Sign, u8, u8>

The resulting type after applying the + operator.

fn add(self, rhs: &NonZeroI8) -> Self::Output

Performs the + operation.

impl Add<&NonZero<i8>> for &Rational8

type Output = Ratio<Sign, u8, u8>

The resulting type after applying the + operator.

fn add(self, rhs: &NonZeroI8) -> Self::Output

Performs the + operation.

impl Add<&NonZero<u8>> for Rational8

type Output = Ratio<Sign, u8, u8>

The resulting type after applying the + operator.

fn add(self, rhs: &NonZeroU8) -> Self::Output

Performs the + operation.

impl Add<&NonZero<u8>> for &Rational8

type Output = Ratio<Sign, u8, u8>

The resulting type after applying the + operator.

fn add(self, rhs: &NonZeroU8) -> Self::Output

Performs the + operation.

impl Add<&One> for Rational8

type Output = Ratio<Sign, u8, u8>

The resulting type after applying the + operator.

fn add(self, _: &One) -> 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<&i8> for Rational8

type Output = Ratio<Sign, u8, u8>

The resulting type after applying the + operator.

fn add(self, rhs: &i8) -> Self::Output

Performs the + operation.

impl Add<&i8> for &Rational8

type Output = Ratio<Sign, u8, u8>

The resulting type after applying the + operator.

fn add(self, rhs: &i8) -> Self::Output

Performs the + operation.

impl Add<&u8> for Rational8

type Output = Ratio<Sign, u8, u8>

The resulting type after applying the + operator.

fn add(self, rhs: &u8) -> Self::Output

Performs the + operation.

impl Add<&u8> for &Rational8

type Output = Ratio<Sign, u8, u8>

The resulting type after applying the + operator.

fn add(self, rhs: &u8) -> Self::Output

Performs the + operation.

impl Add<NonZero<i8>> for Rational8

type Output = Ratio<Sign, u8, u8>

The resulting type after applying the + operator.

fn add(self, rhs: NonZeroI8) -> Self::Output

Performs the + operation.

impl Add<NonZero<i8>> for &Rational8

type Output = Ratio<Sign, u8, u8>

The resulting type after applying the + operator.

fn add(self, rhs: NonZeroI8) -> Self::Output

Performs the + operation.

impl Add<NonZero<u8>> for Rational8

type Output = Ratio<Sign, u8, u8>

The resulting type after applying the + operator.

fn add(self, rhs: NonZeroU8) -> Self::Output

Performs the + operation.

impl Add<NonZero<u8>> for &Rational8

type Output = Ratio<Sign, u8, u8>

The resulting type after applying the + operator.

fn add(self, rhs: NonZeroU8) -> Self::Output

Performs the + operation.

impl Add<One> for Rational8

type Output = Ratio<Sign, u8, u8>

The resulting type after applying the + operator.

fn add(self, _: One) -> 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<i8> for Rational8

type Output = Ratio<Sign, u8, u8>

The resulting type after applying the + operator.

fn add(self, rhs: i8) -> Self::Output

Performs the + operation.

impl Add<i8> for &Rational8

type Output = Ratio<Sign, u8, u8>

The resulting type after applying the + operator.

fn add(self, rhs: i8) -> Self::Output

Performs the + operation.

impl Add<u8> for Rational8

type Output = Ratio<Sign, u8, u8>

The resulting type after applying the + operator.

fn add(self, rhs: u8) -> Self::Output

Performs the + operation.

impl Add<u8> for &Rational8

type Output = Ratio<Sign, u8, u8>

The resulting type after applying the + operator.

fn add(self, rhs: u8) -> Self::Output

Performs the + operation.

impl AddAssign for Rational8

fn add_assign(&mut self, rhs: Self)

Performs the += operation.

impl AddAssign<&NonZero<i8>> for Rational8

fn add_assign(&mut self, rhs: &NonZeroI8)

Performs the += operation.

impl AddAssign<&NonZero<u8>> for Rational8

fn add_assign(&mut self, rhs: &NonZeroU8)

Performs the += operation.

impl AddAssign<&One> for Rational8

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

Performs the += operation.

impl AddAssign<&Zero> for Rational8

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

Performs the += operation.

impl AddAssign<&i8> for Rational8

fn add_assign(&mut self, rhs: &i8)

Performs the += operation.

impl AddAssign<&u8> for Rational8

fn add_assign(&mut self, rhs: &u8)

Performs the += operation.

impl AddAssign<NonZero<i8>> for Rational8

fn add_assign(&mut self, rhs: NonZeroI8)

Performs the += operation.

impl AddAssign<NonZero<u8>> for Rational8

fn add_assign(&mut self, rhs: NonZeroU8)

Performs the += operation.

impl AddAssign<One> for Rational8

fn add_assign(&mut self, _: One)

Performs the += operation.

impl AddAssign<Zero> for Rational8

fn add_assign(&mut self, _: Zero)

Performs the += operation.

impl AddAssign<i8> for Rational8

fn add_assign(&mut self, rhs: i8)

Performs the += operation.

impl AddAssign<u8> for Rational8

fn add_assign(&mut self, rhs: u8)

Performs the += operation.

impl Debug for Rational8

Renders exactly like Display, so the output parses back.

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

Formats the value using the given formatter.

impl Default for Rational8

fn default() -> Self

Returns the “default value” for a type.

impl Display for Rational8

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

Formats the value using the given formatter.

impl Div for Rational8

type Output = Ratio<Sign, u8, u8>

The resulting type after applying the / operator.

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

Performs the / operation.

impl<'a> Div for &'a Rational8

type Output = Ratio<Sign, u8, u8>

The resulting type after applying the / operator.

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

Performs the / operation.

impl Div<&NonZero<i8>> for Rational8

type Output = Ratio<Sign, u8, u8>

The resulting type after applying the / operator.

fn div(self, rhs: &NonZeroI8) -> Self::Output

Performs the / operation.

impl Div<&NonZero<i8>> for &Rational8

type Output = Ratio<Sign, u8, u8>

The resulting type after applying the / operator.

fn div(self, rhs: &NonZeroI8) -> Self::Output

Performs the / operation.

impl Div<&NonZero<u8>> for Rational8

type Output = Ratio<Sign, u8, u8>

The resulting type after applying the / operator.

fn div(self, rhs: &NonZeroU8) -> Self::Output

Performs the / operation.

impl Div<&NonZero<u8>> for &Rational8

type Output = Ratio<Sign, u8, u8>

The resulting type after applying the / operator.

fn div(self, rhs: &NonZeroU8) -> Self::Output

Performs the / operation.

impl Div<&One> for Rational8

type Output = Ratio<Sign, u8, u8>

The resulting type after applying the / operator.

fn div(self, _: &One) -> Self::Output

Performs the / operation.

impl Div<&One> for &Rational8

type Output = Ratio<Sign, u8, u8>

The resulting type after applying the / operator.

fn div(self, _: &One) -> Self::Output

Performs the / operation.

impl Div<&i8> for Rational8

type Output = Ratio<Sign, u8, u8>

The resulting type after applying the / operator.

fn div(self, rhs: &i8) -> Self::Output

Performs the / operation.

impl Div<&i8> for &Rational8

type Output = Ratio<Sign, u8, u8>

The resulting type after applying the / operator.

fn div(self, rhs: &i8) -> Self::Output

Performs the / operation.

impl Div<&u8> for Rational8

type Output = Ratio<Sign, u8, u8>

The resulting type after applying the / operator.

fn div(self, rhs: &u8) -> Self::Output

Performs the / operation.

impl Div<&u8> for &Rational8

type Output = Ratio<Sign, u8, u8>

The resulting type after applying the / operator.

fn div(self, rhs: &u8) -> Self::Output

Performs the / operation.

impl Div<NonZero<i8>> for Rational8

type Output = Ratio<Sign, u8, u8>

The resulting type after applying the / operator.

fn div(self, rhs: NonZeroI8) -> Self::Output

Performs the / operation.

impl Div<NonZero<i8>> for &Rational8

type Output = Ratio<Sign, u8, u8>

The resulting type after applying the / operator.

fn div(self, rhs: NonZeroI8) -> Self::Output

Performs the / operation.

impl Div<NonZero<u8>> for Rational8

type Output = Ratio<Sign, u8, u8>

The resulting type after applying the / operator.

fn div(self, rhs: NonZeroU8) -> Self::Output

Performs the / operation.

impl Div<NonZero<u8>> for &Rational8

type Output = Ratio<Sign, u8, u8>

The resulting type after applying the / operator.

fn div(self, rhs: NonZeroU8) -> Self::Output

Performs the / operation.

impl Div<One> for Rational8

type Output = Ratio<Sign, u8, u8>

The resulting type after applying the / operator.

fn div(self, _: One) -> Self::Output

Performs the / operation.

impl Div<One> for &Rational8

type Output = Ratio<Sign, u8, u8>

The resulting type after applying the / operator.

fn div(self, _: One) -> Self::Output

Performs the / operation.

impl Div<i8> for Rational8

type Output = Ratio<Sign, u8, u8>

The resulting type after applying the / operator.

fn div(self, rhs: i8) -> Self::Output

Performs the / operation.

impl Div<i8> for &Rational8

type Output = Ratio<Sign, u8, u8>

The resulting type after applying the / operator.

fn div(self, rhs: i8) -> Self::Output

Performs the / operation.

impl Div<u8> for Rational8

type Output = Ratio<Sign, u8, u8>

The resulting type after applying the / operator.

fn div(self, rhs: u8) -> Self::Output

Performs the / operation.

impl Div<u8> for &Rational8

type Output = Ratio<Sign, u8, u8>

The resulting type after applying the / operator.

fn div(self, rhs: u8) -> Self::Output

Performs the / operation.

impl DivAssign for Rational8

fn div_assign(&mut self, rhs: Self)

Performs the /= operation.

impl DivAssign<&NonZero<i8>> for Rational8

fn div_assign(&mut self, rhs: &NonZeroI8)

Performs the /= operation.

impl DivAssign<&NonZero<u8>> for Rational8

fn div_assign(&mut self, rhs: &NonZeroU8)

Performs the /= operation.

impl DivAssign<&One> for Rational8

fn div_assign(&mut self, _: &One)

Performs the /= operation.

impl DivAssign<&i8> for Rational8

fn div_assign(&mut self, rhs: &i8)

Performs the /= operation.

impl DivAssign<&u8> for Rational8

fn div_assign(&mut self, rhs: &u8)

Performs the /= operation.

impl DivAssign<NonZero<i8>> for Rational8

fn div_assign(&mut self, rhs: NonZeroI8)

Performs the /= operation.

impl DivAssign<NonZero<u8>> for Rational8

fn div_assign(&mut self, rhs: NonZeroU8)

Performs the /= operation.

impl DivAssign<One> for Rational8

fn div_assign(&mut self, _: One)

Performs the /= operation.

impl DivAssign<i8> for Rational8

fn div_assign(&mut self, rhs: i8)

Performs the /= operation.

impl DivAssign<u8> for Rational8

fn div_assign(&mut self, rhs: u8)

Performs the /= operation.

impl EncodingSize for Rational8

fn numerator_bits(&self) -> u32

Bits in the numerator.

fn denominator_bits(&self) -> u32

Bits in the denominator.

fn encoding_bits(&self) -> u64

What it costs to store this value.

impl Eq for Rational8

impl From<&One> for Rational8

fn from(_: &One) -> 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<&i8> for Rational8

fn from(other: &i8) -> Self

Converts to this type from the input type.

impl From<&u8> for Rational8

fn from(other: &u8) -> Self

Converts to this type from the input type.

impl From<(i8, i8)> for Rational8

fn from(other: (i8, i8)) -> Self

Converts to this type from the input type.

impl From<(u8, u8)> for Rational8

fn from(other: (u8, u8)) -> Self

Converts to this type from the input type.

impl From<One> for Rational8

fn from(_: One) -> 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<i8> for Rational8

fn from(other: i8) -> Self

Converts to this type from the input type.

impl From<u8> for Rational8

fn from(other: u8) -> Self

Converts to this type from the input type.

impl FromPrimitive for Rational8

fn from_i128(n: i128) -> Option<Self>

The default implementation goes through from_i64, which discards every value that only a wider magnitude type can hold.

fn from_u128(n: u128) -> Option<Self>

The default implementation goes through from_u64, which discards every value that only a wider magnitude type can hold.

fn from_i64(n: i64) -> Option<Self>

Converts an i64 to return an optional value of this type. If the value cannot be represented by this type, then None is returned.

fn from_u64(n: u64) -> Option<Self>

Converts an u64 to return an optional value of this type. If the value cannot be represented by this type, then None is returned.

fn from_f32(n: f32) -> Option<Self>

Converts a f32 to return an optional value of this type. If the value cannot be represented by this type, then None is returned.

fn from_f64(n: f64) -> Option<Self>

Converts a f64 to return an optional value of this type. If the value cannot be represented by this type, then None is returned.

fn from_isize(n: isize) -> Option<Self>

Converts an isize to return an optional value of this type. If the value cannot be represented by this type, then None is returned.

fn from_i8(n: i8) -> Option<Self>

Converts an i8 to return an optional value of this type. If the value cannot be represented by this type, then None is returned.

fn from_i16(n: i16) -> Option<Self>

Converts an i16 to return an optional value of this type. If the value cannot be represented by this type, then None is returned.

fn from_i32(n: i32) -> Option<Self>

Converts an i32 to return an optional value of this type. If the value cannot be represented by this type, then None is returned.

fn from_usize(n: usize) -> Option<Self>

Converts a usize to return an optional value of this type. If the value cannot be represented by this type, then None is returned.

fn from_u8(n: u8) -> Option<Self>

Converts an u8 to return an optional value of this type. If the value cannot be represented by this type, then None is returned.

fn from_u16(n: u16) -> Option<Self>

Converts an u16 to return an optional value of this type. If the value cannot be represented by this type, then None is returned.

fn from_u32(n: u32) -> Option<Self>

Converts an u32 to return an optional value of this type. If the value cannot be represented by this type, then None is returned.

impl FromStr for Rational8

type Err = &'static str

The associated error which can be returned from parsing.

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

Parses a string s to return a value of this type.

impl Gcd for Rational8

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

The greatest common divisor of two numbers.

impl<'a> Mul for &'a Rational8

type Output = Ratio<Sign, u8, u8>

The resulting type after applying the * operator.

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

Performs the * operation.

impl Mul for Rational8

type Output = Ratio<Sign, u8, u8>

The resulting type after applying the * operator.

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

Performs the * operation.

impl Mul<&NonZero<i8>> for Rational8

type Output = Ratio<Sign, u8, u8>

The resulting type after applying the * operator.

fn mul(self, rhs: &NonZeroI8) -> Self::Output

Performs the * operation.

impl Mul<&NonZero<i8>> for &Rational8

type Output = Ratio<Sign, u8, u8>

The resulting type after applying the * operator.

fn mul(self, rhs: &NonZeroI8) -> Self::Output

Performs the * operation.

impl Mul<&NonZero<u8>> for Rational8

type Output = Ratio<Sign, u8, u8>

The resulting type after applying the * operator.

fn mul(self, rhs: &NonZeroU8) -> Self::Output

Performs the * operation.

impl Mul<&NonZero<u8>> for &Rational8

type Output = Ratio<Sign, u8, u8>

The resulting type after applying the * operator.

fn mul(self, rhs: &NonZeroU8) -> Self::Output

Performs the * operation.

impl Mul<&One> for Rational8

type Output = Ratio<Sign, u8, u8>

The resulting type after applying the * operator.

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

Performs the * operation.

impl Mul<&One> for &Rational8

type Output = Ratio<Sign, u8, u8>

The resulting type after applying the * operator.

fn mul(self, _: &One) -> 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<&i8> for Rational8

type Output = Ratio<Sign, u8, u8>

The resulting type after applying the * operator.

fn mul(self, rhs: &i8) -> Self::Output

Performs the * operation.

impl Mul<&i8> for &Rational8

type Output = Ratio<Sign, u8, u8>

The resulting type after applying the * operator.

fn mul(self, rhs: &i8) -> Self::Output

Performs the * operation.

impl Mul<&u8> for Rational8

type Output = Ratio<Sign, u8, u8>

The resulting type after applying the * operator.

fn mul(self, rhs: &u8) -> Self::Output

Performs the * operation.

impl Mul<&u8> for &Rational8

type Output = Ratio<Sign, u8, u8>

The resulting type after applying the * operator.

fn mul(self, rhs: &u8) -> Self::Output

Performs the * operation.

impl Mul<NonZero<i8>> for Rational8

type Output = Ratio<Sign, u8, u8>

The resulting type after applying the * operator.

fn mul(self, rhs: NonZeroI8) -> Self::Output

Performs the * operation.

impl Mul<NonZero<i8>> for &Rational8

type Output = Ratio<Sign, u8, u8>

The resulting type after applying the * operator.

fn mul(self, rhs: NonZeroI8) -> Self::Output

Performs the * operation.

impl Mul<NonZero<u8>> for Rational8

type Output = Ratio<Sign, u8, u8>

The resulting type after applying the * operator.

fn mul(self, rhs: NonZeroU8) -> Self::Output

Performs the * operation.

impl Mul<NonZero<u8>> for &Rational8

type Output = Ratio<Sign, u8, u8>

The resulting type after applying the * operator.

fn mul(self, rhs: NonZeroU8) -> Self::Output

Performs the * operation.

impl Mul<One> for Rational8

type Output = Ratio<Sign, u8, u8>

The resulting type after applying the * operator.

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

Performs the * operation.

impl Mul<One> for &Rational8

type Output = Ratio<Sign, u8, u8>

The resulting type after applying the * operator.

fn mul(self, _: One) -> 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<i8> for Rational8

type Output = Ratio<Sign, u8, u8>

The resulting type after applying the * operator.

fn mul(self, rhs: i8) -> Self::Output

Performs the * operation.

impl Mul<i8> for &Rational8

type Output = Ratio<Sign, u8, u8>

The resulting type after applying the * operator.

fn mul(self, rhs: i8) -> Self::Output

Performs the * operation.

impl Mul<u8> for Rational8

type Output = Ratio<Sign, u8, u8>

The resulting type after applying the * operator.

fn mul(self, rhs: u8) -> Self::Output

Performs the * operation.

impl Mul<u8> for &Rational8

type Output = Ratio<Sign, u8, u8>

The resulting type after applying the * operator.

fn mul(self, rhs: u8) -> Self::Output

Performs the * operation.

impl MulAssign for Rational8

fn mul_assign(&mut self, rhs: Self)

Performs the *= operation.

impl MulAssign<&NonZero<i8>> for Rational8

fn mul_assign(&mut self, rhs: &NonZeroI8)

Performs the *= operation.

impl MulAssign<&NonZero<u8>> for Rational8

fn mul_assign(&mut self, rhs: &NonZeroU8)

Performs the *= operation.

impl MulAssign<&One> for Rational8

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

Performs the *= operation.

impl MulAssign<&Zero> for Rational8

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

Performs the *= operation.

impl MulAssign<&i8> for Rational8

fn mul_assign(&mut self, rhs: &i8)

Performs the *= operation.

impl MulAssign<&u8> for Rational8

fn mul_assign(&mut self, rhs: &u8)

Performs the *= operation.

impl MulAssign<NonZero<i8>> for Rational8

fn mul_assign(&mut self, rhs: NonZeroI8)

Performs the *= operation.

impl MulAssign<NonZero<u8>> for Rational8

fn mul_assign(&mut self, rhs: NonZeroU8)

Performs the *= operation.

impl MulAssign<One> for Rational8

fn mul_assign(&mut self, _: One)

Performs the *= operation.

impl MulAssign<Zero> for Rational8

fn mul_assign(&mut self, _: Zero)

Performs the *= operation.

impl MulAssign<i8> for Rational8

fn mul_assign(&mut self, rhs: i8)

Performs the *= operation.

impl MulAssign<u8> for Rational8

fn mul_assign(&mut self, rhs: u8)

Performs the *= operation.

impl Neg for Rational8

type Output = Ratio<Sign, u8, u8>

The resulting type after applying the - operator.

fn neg(self) -> Self::Output

Performs the unary - operation.

impl Neg for &Rational8

type Output = Ratio<Sign, u8, u8>

The resulting type after applying the - operator.

fn neg(self) -> Self::Output

Performs the unary - operation.

impl One for Rational8

fn one() -> Self

Returns the multiplicative identity element of Self, 1.

fn set_one(&mut self)

Sets self to the multiplicative identity element of Self, 1.

fn is_one(&self) -> bool

Returns true if self is equal to the multiplicative identity.

impl Ord for Rational8

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 Rational8

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

Equality operator ==.

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

Inequality operator !=.

impl PartialEq<NonZero<i8>> for Rational8

fn eq(&self, rhs: &NonZeroI8) -> bool

Equality operator ==.

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

Inequality operator !=.

impl PartialEq<NonZero<u8>> for Rational8

fn eq(&self, rhs: &NonZeroU8) -> bool

Equality operator ==.

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

Inequality operator !=.

impl PartialEq<i8> for Rational8

fn eq(&self, rhs: &i8) -> bool

Equality operator ==.

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

Inequality operator !=.

impl PartialEq<u8> for Rational8

fn eq(&self, rhs: &u8) -> bool

Equality operator ==.

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

Inequality operator !=.

impl PartialOrd for Rational8

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 Sub for Rational8

type Output = Ratio<Sign, u8, u8>

The resulting type after applying the - operator.

fn sub(self, rhs: Self) -> Self::Output

Performs the - operation.

impl<'a> Sub for &'a Rational8

type Output = Ratio<Sign, u8, u8>

The resulting type after applying the - operator.

fn sub(self, rhs: Self) -> Self::Output

Performs the - operation.

impl Sub<&NonZero<i8>> for Rational8

type Output = Ratio<Sign, u8, u8>

The resulting type after applying the - operator.

fn sub(self, rhs: &NonZeroI8) -> Self::Output

Performs the - operation.

impl Sub<&NonZero<i8>> for &Rational8

type Output = Ratio<Sign, u8, u8>

The resulting type after applying the - operator.

fn sub(self, rhs: &NonZeroI8) -> Self::Output

Performs the - operation.

impl Sub<&NonZero<u8>> for Rational8

type Output = Ratio<Sign, u8, u8>

The resulting type after applying the - operator.

fn sub(self, rhs: &NonZeroU8) -> Self::Output

Performs the - operation.

impl Sub<&NonZero<u8>> for &Rational8

type Output = Ratio<Sign, u8, u8>

The resulting type after applying the - operator.

fn sub(self, rhs: &NonZeroU8) -> Self::Output

Performs the - operation.

impl Sub<&One> for Rational8

type Output = Ratio<Sign, u8, u8>

The resulting type after applying the - operator.

fn sub(self, _: &One) -> 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<&i8> for Rational8

type Output = Ratio<Sign, u8, u8>

The resulting type after applying the - operator.

fn sub(self, rhs: &i8) -> Self::Output

Performs the - operation.

impl Sub<&i8> for &Rational8

type Output = Ratio<Sign, u8, u8>

The resulting type after applying the - operator.

fn sub(self, rhs: &i8) -> Self::Output

Performs the - operation.

impl Sub<&u8> for Rational8

type Output = Ratio<Sign, u8, u8>

The resulting type after applying the - operator.

fn sub(self, rhs: &u8) -> Self::Output

Performs the - operation.

impl Sub<&u8> for &Rational8

type Output = Ratio<Sign, u8, u8>

The resulting type after applying the - operator.

fn sub(self, rhs: &u8) -> Self::Output

Performs the - operation.

impl Sub<NonZero<i8>> for Rational8

type Output = Ratio<Sign, u8, u8>

The resulting type after applying the - operator.

fn sub(self, rhs: NonZeroI8) -> Self::Output

Performs the - operation.

impl Sub<NonZero<i8>> for &Rational8

type Output = Ratio<Sign, u8, u8>

The resulting type after applying the - operator.

fn sub(self, rhs: NonZeroI8) -> Self::Output

Performs the - operation.

impl Sub<NonZero<u8>> for Rational8

type Output = Ratio<Sign, u8, u8>

The resulting type after applying the - operator.

fn sub(self, rhs: NonZeroU8) -> Self::Output

Performs the - operation.

impl Sub<NonZero<u8>> for &Rational8

type Output = Ratio<Sign, u8, u8>

The resulting type after applying the - operator.

fn sub(self, rhs: NonZeroU8) -> Self::Output

Performs the - operation.

impl Sub<One> for Rational8

type Output = Ratio<Sign, u8, u8>

The resulting type after applying the - operator.

fn sub(self, _: One) -> 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<i8> for Rational8

type Output = Ratio<Sign, u8, u8>

The resulting type after applying the - operator.

fn sub(self, rhs: i8) -> Self::Output

Performs the - operation.

impl Sub<i8> for &Rational8

type Output = Ratio<Sign, u8, u8>

The resulting type after applying the - operator.

fn sub(self, rhs: i8) -> Self::Output

Performs the - operation.

impl Sub<u8> for Rational8

type Output = Ratio<Sign, u8, u8>

The resulting type after applying the - operator.

fn sub(self, rhs: u8) -> Self::Output

Performs the - operation.

impl Sub<u8> for &Rational8

type Output = Ratio<Sign, u8, u8>

The resulting type after applying the - operator.

fn sub(self, rhs: u8) -> Self::Output

Performs the - operation.

impl SubAssign for Rational8

fn sub_assign(&mut self, rhs: Self)

Performs the -= operation.

impl SubAssign<&NonZero<i8>> for Rational8

fn sub_assign(&mut self, rhs: &NonZeroI8)

Performs the -= operation.

impl SubAssign<&NonZero<u8>> for Rational8

fn sub_assign(&mut self, rhs: &NonZeroU8)

Performs the -= operation.

impl SubAssign<&One> for Rational8

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

Performs the -= operation.

impl SubAssign<&i8> for Rational8

fn sub_assign(&mut self, rhs: &i8)

Performs the -= operation.

impl SubAssign<&u8> for Rational8

fn sub_assign(&mut self, rhs: &u8)

Performs the -= operation.

impl SubAssign<NonZero<i8>> for Rational8

fn sub_assign(&mut self, rhs: NonZeroI8)

Performs the -= operation.

impl SubAssign<NonZero<u8>> for Rational8

fn sub_assign(&mut self, rhs: NonZeroU8)

Performs the -= operation.

impl SubAssign<One> for Rational8

fn sub_assign(&mut self, _: One)

Performs the -= operation.

impl SubAssign<Zero> for Rational8

fn sub_assign(&mut self, _: Zero)

Performs the -= operation.

impl SubAssign<i8> for Rational8

fn sub_assign(&mut self, rhs: i8)

Performs the -= operation.

impl SubAssign<u8> for Rational8

fn sub_assign(&mut self, rhs: u8)

Performs the -= operation.

impl Sum for Rational8

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

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

impl ToPrimitive for Rational8

fn to_isize(&self) -> Option<isize>

Converts the value of self to an isize. If the value cannot be represented by an isize, then None is returned.

fn to_i8(&self) -> Option<i8>

Converts the value of self to an i8. If the value cannot be represented by an i8, then None is returned.

fn to_i16(&self) -> Option<i16>

Converts the value of self to an i16. If the value cannot be represented by an i16, then None is returned.

fn to_i32(&self) -> Option<i32>

Converts the value of self to an i32. If the value cannot be represented by an i32, then None is returned.

fn to_i64(&self) -> Option<i64>

Converts the value of self to an i64. If the value cannot be represented by an i64, then None is returned.

fn to_i128(&self) -> Option<i128>

Converts the value of self to an i128. If the value cannot be represented by an i128 (i64 under the default implementation), then None is returned.

fn to_usize(&self) -> Option<usize>

Converts the value of self to a usize. If the value cannot be represented by a usize, then None is returned.

fn to_u8(&self) -> Option<u8>

Converts the value of self to a u8. If the value cannot be represented by a u8, then None is returned.

fn to_u16(&self) -> Option<u16>

Converts the value of self to a u16. If the value cannot be represented by a u16, then None is returned.

fn to_u32(&self) -> Option<u32>

Converts the value of self to a u32. If the value cannot be represented by a u32, then None is returned.

fn to_u64(&self) -> Option<u64>

Converts the value of self to a u64. If the value cannot be represented by a u64, then None is returned.

fn to_u128(&self) -> Option<u128>

Converts the value of self to a u128. If the value cannot be represented by a u128 (u64 under the default implementation), then None is returned.

fn to_f32(&self) -> Option<f32>

Converts the value of self to an f32. Overflows may map to positive or negative inifinity, otherwise None is returned if the value cannot be represented by an f32.

fn to_f64(&self) -> Option<f64>

Converts the value of self to an f64. Overflows may map to positive or negative inifinity, otherwise None is returned if the value cannot be represented by an f64.

impl Zero for Rational8

fn zero() -> Self

Returns the additive identity element of Self, 0.

fn set_zero(&mut self)

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

fn is_zero(&self) -> bool

Returns true if self is equal to the additive identity.