typenum::int

Struct Z0

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pub struct Z0;
Expand description

The type-level signed integer 0.

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impl Z0

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pub fn new() -> Z0

Instantiates a singleton representing the integer 0.

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impl Abs for Z0

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type Output = Z0

The absolute value.
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impl<I: Integer> Add<I> for Z0

Z0 + I = I

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type Output = I

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

Performs the + operation. Read more
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impl<U: Unsigned + NonZero> Add<Z0> for NInt<U>

NInt + Z0 = NInt

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type Output = NInt<U>

The resulting type after applying the + operator.
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fn add(self, _: Z0) -> Self::Output

Performs the + operation. Read more
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impl<U: Unsigned + NonZero> Add<Z0> for PInt<U>

PInt + Z0 = PInt

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type Output = PInt<U>

The resulting type after applying the + operator.
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fn add(self, _: Z0) -> Self::Output

Performs the + operation. Read more
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impl Clone for Z0

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fn clone(&self) -> Z0

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<U: Unsigned + NonZero> Cmp<NInt<U>> for Z0

0 > -X

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type Output = Greater

The result of the comparison. It should only ever be one of Greater, Less, or Equal.
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impl<U: Unsigned + NonZero> Cmp<PInt<U>> for Z0

0 < X

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type Output = Less

The result of the comparison. It should only ever be one of Greater, Less, or Equal.
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impl<U: Unsigned + NonZero> Cmp<Z0> for NInt<U>

-X < 0

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type Output = Less

The result of the comparison. It should only ever be one of Greater, Less, or Equal.
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impl<U: Unsigned + NonZero> Cmp<Z0> for PInt<U>

X > 0

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type Output = Greater

The result of the comparison. It should only ever be one of Greater, Less, or Equal.
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impl Cmp for Z0

0 == 0

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type Output = Equal

The result of the comparison. It should only ever be one of Greater, Less, or Equal.
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impl Debug for Z0

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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 Default for Z0

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fn default() -> Z0

Returns the “default value” for a type. Read more
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impl<I: Integer + NonZero> Div<I> for Z0

Z0 / I = Z0 where I != 0

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type Output = Z0

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

Performs the / operation. Read more
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impl<U> Gcd<NInt<U>> for Z0
where U: Unsigned + NonZero,

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type Output = PInt<U>

The greatest common divisor.
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impl<U> Gcd<PInt<U>> for Z0
where U: Unsigned + NonZero,

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type Output = PInt<U>

The greatest common divisor.
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impl<U> Gcd<Z0> for NInt<U>
where U: Unsigned + NonZero,

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type Output = PInt<U>

The greatest common divisor.
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impl<U> Gcd<Z0> for PInt<U>
where U: Unsigned + NonZero,

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type Output = PInt<U>

The greatest common divisor.
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impl Gcd<Z0> for Z0

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type Output = Z0

The greatest common divisor.
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impl Hash for Z0

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

Feeds this value into the given Hasher. Read more
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fn hash_slice<H>(data: &[Self], state: &mut H)
where H: Hasher, Self: Sized,

Feeds a slice of this type into the given Hasher. Read more
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impl Integer for Z0

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const I8: i8 = 0i8

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const I16: i16 = 0i16

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const I32: i32 = 0i32

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const I64: i64 = 0i64

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const ISIZE: isize = 0isize

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fn to_i8() -> i8

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fn to_i16() -> i16

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fn to_i32() -> i32

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fn to_i64() -> i64

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fn to_isize() -> isize

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impl<U> Max<NInt<U>> for Z0
where U: Unsigned + NonZero,

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type Output = Z0

The type of the maximum of Self and Rhs
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fn max(self, _: NInt<U>) -> Self::Output

Method returning the maximum
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impl<U> Max<PInt<U>> for Z0
where U: Unsigned + NonZero,

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type Output = PInt<U>

The type of the maximum of Self and Rhs
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fn max(self, rhs: PInt<U>) -> Self::Output

Method returning the maximum
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impl<U> Max<Z0> for NInt<U>
where U: Unsigned + NonZero,

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type Output = Z0

The type of the maximum of Self and Rhs
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fn max(self, rhs: Z0) -> Self::Output

Method returning the maximum
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impl<U> Max<Z0> for PInt<U>
where U: Unsigned + NonZero,

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type Output = PInt<U>

The type of the maximum of Self and Rhs
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fn max(self, _: Z0) -> Self::Output

Method returning the maximum
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impl Max for Z0

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type Output = Z0

The type of the maximum of Self and Rhs
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fn max(self, _: Z0) -> Self::Output

Method returning the maximum
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impl<U> Min<NInt<U>> for Z0
where U: Unsigned + NonZero,

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type Output = NInt<U>

The type of the minimum of Self and Rhs
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fn min(self, rhs: NInt<U>) -> Self::Output

Method returning the minimum
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impl<U> Min<PInt<U>> for Z0
where U: Unsigned + NonZero,

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type Output = Z0

The type of the minimum of Self and Rhs
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fn min(self, _: PInt<U>) -> Self::Output

Method returning the minimum
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impl<U> Min<Z0> for NInt<U>
where U: Unsigned + NonZero,

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type Output = NInt<U>

The type of the minimum of Self and Rhs
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fn min(self, _: Z0) -> Self::Output

Method returning the minimum
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impl<U> Min<Z0> for PInt<U>
where U: Unsigned + NonZero,

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type Output = Z0

The type of the minimum of Self and Rhs
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fn min(self, rhs: Z0) -> Self::Output

Method returning the minimum
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impl Min for Z0

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type Output = Z0

The type of the minimum of Self and Rhs
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fn min(self, _: Z0) -> Self::Output

Method returning the minimum
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impl Mul<ATerm> for Z0

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type Output = ATerm

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

Performs the * operation. Read more
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impl<I: Integer> Mul<I> for Z0

Z0 * I = Z0

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type Output = Z0

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

Performs the * operation. Read more
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impl<V, A> Mul<TArr<V, A>> for Z0
where Z0: Mul<A>,

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type Output = TArr<Z0, <Z0 as Mul<A>>::Output>

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

Performs the * operation. Read more
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impl<U: Unsigned + NonZero> Mul<Z0> for NInt<U>

N * Z0 = Z0

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type Output = Z0

The resulting type after applying the * operator.
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fn mul(self, _: Z0) -> Self::Output

Performs the * operation. Read more
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impl<U: Unsigned + NonZero> Mul<Z0> for PInt<U>

P * Z0 = Z0

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type Output = Z0

The resulting type after applying the * operator.
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fn mul(self, _: Z0) -> Self::Output

Performs the * operation. Read more
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impl Neg for Z0

-Z0 = Z0

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type Output = Z0

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 Ord for Z0

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fn cmp(&self, other: &Z0) -> Ordering

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

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

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

Restrict a value to a certain interval. Read more
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impl PartialEq for Z0

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fn eq(&self, other: &Z0) -> bool

Tests for self and other values to be equal, and is used by ==.
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fn ne(&self, other: &Rhs) -> bool

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 Z0

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fn partial_cmp(&self, other: &Z0) -> 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

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

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

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

Tests greater than or equal to (for self and other) and is used by the >= operator. Read more
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impl<U: Unsigned + NonZero> Pow<NInt<U>> for Z0

0^N = 0

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type Output = Z0

The result of the exponentiation.
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fn powi(self, _: NInt<U>) -> Self::Output

This function isn’t used in this crate, but may be useful for others. It is implemented for primitives. Read more
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impl<U: Unsigned + NonZero> Pow<PInt<U>> for Z0

0^P = 0

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type Output = Z0

The result of the exponentiation.
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fn powi(self, _: PInt<U>) -> Self::Output

This function isn’t used in this crate, but may be useful for others. It is implemented for primitives. Read more
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impl<U: Unsigned + NonZero> Pow<Z0> for NInt<U>

N^0 = 1

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type Output = PInt<UInt<UTerm, B1>>

The result of the exponentiation.
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fn powi(self, _: Z0) -> Self::Output

This function isn’t used in this crate, but may be useful for others. It is implemented for primitives. Read more
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impl<U: Unsigned + NonZero> Pow<Z0> for PInt<U>

P^0 = 1

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type Output = PInt<UInt<UTerm, B1>>

The result of the exponentiation.
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fn powi(self, _: Z0) -> Self::Output

This function isn’t used in this crate, but may be useful for others. It is implemented for primitives. Read more
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impl Pow<Z0> for Z0

0^0 = 1

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type Output = PInt<UInt<UTerm, B1>>

The result of the exponentiation.
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fn powi(self, _: Z0) -> Self::Output

This function isn’t used in this crate, but may be useful for others. It is implemented for primitives. Read more
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impl Pow<Z0> for f32

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type Output = f32

The result of the exponentiation.
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fn powi(self, _: Z0) -> Self::Output

This function isn’t used in this crate, but may be useful for others. It is implemented for primitives. Read more
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impl Pow<Z0> for f64

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type Output = f64

The result of the exponentiation.
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fn powi(self, _: Z0) -> Self::Output

This function isn’t used in this crate, but may be useful for others. It is implemented for primitives. Read more
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impl Pow<Z0> for i16

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type Output = i16

The result of the exponentiation.
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fn powi(self, _: Z0) -> Self::Output

This function isn’t used in this crate, but may be useful for others. It is implemented for primitives. Read more
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impl Pow<Z0> for i32

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type Output = i32

The result of the exponentiation.
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fn powi(self, _: Z0) -> Self::Output

This function isn’t used in this crate, but may be useful for others. It is implemented for primitives. Read more
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impl Pow<Z0> for i64

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type Output = i64

The result of the exponentiation.
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fn powi(self, _: Z0) -> Self::Output

This function isn’t used in this crate, but may be useful for others. It is implemented for primitives. Read more
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impl Pow<Z0> for i8

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type Output = i8

The result of the exponentiation.
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fn powi(self, _: Z0) -> Self::Output

This function isn’t used in this crate, but may be useful for others. It is implemented for primitives. Read more
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impl Pow<Z0> for isize

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type Output = isize

The result of the exponentiation.
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fn powi(self, _: Z0) -> Self::Output

This function isn’t used in this crate, but may be useful for others. It is implemented for primitives. Read more
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impl Pow<Z0> for u16

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type Output = u16

The result of the exponentiation.
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fn powi(self, _: Z0) -> Self::Output

This function isn’t used in this crate, but may be useful for others. It is implemented for primitives. Read more
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impl Pow<Z0> for u32

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type Output = u32

The result of the exponentiation.
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fn powi(self, _: Z0) -> Self::Output

This function isn’t used in this crate, but may be useful for others. It is implemented for primitives. Read more
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impl Pow<Z0> for u64

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type Output = u64

The result of the exponentiation.
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fn powi(self, _: Z0) -> Self::Output

This function isn’t used in this crate, but may be useful for others. It is implemented for primitives. Read more
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impl Pow<Z0> for u8

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type Output = u8

The result of the exponentiation.
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fn powi(self, _: Z0) -> Self::Output

This function isn’t used in this crate, but may be useful for others. It is implemented for primitives. Read more
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impl Pow<Z0> for usize

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type Output = usize

The result of the exponentiation.
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fn powi(self, _: Z0) -> Self::Output

This function isn’t used in this crate, but may be useful for others. It is implemented for primitives. Read more
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impl<I: Integer + NonZero> Rem<I> for Z0

Z0 % I = Z0 where I != 0

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type Output = Z0

The resulting type after applying the % operator.
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fn rem(self, _: I) -> Self::Output

Performs the % operation. Read more
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impl<U: Unsigned + NonZero> Sub<NInt<U>> for Z0

Z0 - N = P

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type Output = PInt<U>

The resulting type after applying the - operator.
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fn sub(self, _: NInt<U>) -> Self::Output

Performs the - operation. Read more
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impl<U: Unsigned + NonZero> Sub<PInt<U>> for Z0

Z0 - P = N

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type Output = NInt<U>

The resulting type after applying the - operator.
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fn sub(self, _: PInt<U>) -> Self::Output

Performs the - operation. Read more
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impl<U: Unsigned + NonZero> Sub<Z0> for NInt<U>

NInt - Z0 = NInt

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type Output = NInt<U>

The resulting type after applying the - operator.
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fn sub(self, _: Z0) -> Self::Output

Performs the - operation. Read more
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impl<U: Unsigned + NonZero> Sub<Z0> for PInt<U>

PInt - Z0 = PInt

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type Output = PInt<U>

The resulting type after applying the - operator.
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fn sub(self, _: Z0) -> Self::Output

Performs the - operation. Read more
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impl Sub for Z0

Z0 - Z0 = Z0

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type Output = Z0

The resulting type after applying the - operator.
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fn sub(self, _: Z0) -> Self::Output

Performs the - operation. Read more
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impl ToInt<i16> for Z0

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fn to_int() -> i16

Method returning the concrete value for the type.
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impl ToInt<i32> for Z0

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fn to_int() -> i32

Method returning the concrete value for the type.
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impl ToInt<i64> for Z0

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fn to_int() -> i64

Method returning the concrete value for the type.
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impl ToInt<i8> for Z0

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fn to_int() -> i8

Method returning the concrete value for the type.
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impl Copy for Z0

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impl Eq for Z0

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impl StructuralPartialEq for Z0

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impl Zero for Z0

Auto Trait Implementations§

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impl Freeze for Z0

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impl RefUnwindSafe for Z0

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impl Send for Z0

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impl Sync for Z0

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impl Unpin for Z0

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impl UnwindSafe for Z0

Blanket Implementations§

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impl<T> Any for T
where 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 T
where 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 T
where 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> CloneToUninit for T
where T: Clone,

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unsafe fn clone_to_uninit(&self, dst: *mut T)

🔬This is a nightly-only experimental API. (clone_to_uninit)
Performs copy-assignment from self to dst. 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 T
where 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<M, N> PartialDiv<N> for M
where M: Integer + Div<N> + Rem<N, Output = Z0>,

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type Output = <M as Div<N>>::Output

The type of the result of the division
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fn partial_div(self, rhs: N) -> <M as PartialDiv<N>>::Output

Method for performing the division
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impl<T> Same for T

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type Output = T

Should always be Self
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impl<T, U> TryFrom<U> for T
where 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 T
where 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.