Struct crypto::ciphers::traits::consts::PInt

pub struct PInt<U>where
    U: Unsigned + NonZero,{ /* private fields */ }

Type-level signed integers with positive sign.

Implementations

impl<U> PInt<U>where
    U: Unsigned + NonZero,

pub fn new() -> PInt<U>

Instantiates a singleton representing this strictly positive integer.

Trait Implementations

impl<U> Abs for PInt<U>where
    U: Unsigned + NonZero,

type Output = PInt<U>

The absolute value.

impl<Ul, Ur> Add<NInt<Ur>> for PInt<Ul>where
    Ul: Unsigned + NonZero + Cmp<Ur> + PrivateIntegerAdd<<Ul as Cmp<Ur>>::Output, Ur>,
    Ur: Unsigned + NonZero,

P(Ul) + N(Ur): We resolve this with our PrivateAdd

type Output = <Ul as PrivateIntegerAdd<<Ul as Cmp<Ur>>::Output, Ur>>::Output

The resulting type after applying the + operator.

fn add(self, rhs: NInt<Ur>) -> <PInt<Ul> as Add<NInt<Ur>>>::Output

Performs the + operation.

impl<Ul, Ur> Add<PInt<Ur>> for NInt<Ul>where
    Ul: Unsigned + NonZero,
    Ur: Unsigned + NonZero + Cmp<Ul> + PrivateIntegerAdd<<Ur as Cmp<Ul>>::Output, Ul>,

N(Ul) + P(Ur): We resolve this with our PrivateAdd

type Output = <Ur as PrivateIntegerAdd<<Ur as Cmp<Ul>>::Output, Ul>>::Output

The resulting type after applying the + operator.

fn add(self, rhs: PInt<Ur>) -> <NInt<Ul> as Add<PInt<Ur>>>::Output

Performs the + operation.

impl<Ul, Ur> Add<PInt<Ur>> for PInt<Ul>where
    Ul: Unsigned + NonZero + Add<Ur>,
    Ur: Unsigned + NonZero,
    <Ul as Add<Ur>>::Output: Unsigned + NonZero,

P(Ul) + P(Ur) = P(Ul + Ur)

type Output = PInt<<Ul as Add<Ur>>::Output>

The resulting type after applying the + operator.

fn add(self, _: PInt<Ur>) -> <PInt<Ul> as Add<PInt<Ur>>>::Output

Performs the + operation.

impl<U> Add<Z0> for PInt<U>where
    U: Unsigned + NonZero,

PInt + Z0 = PInt

type Output = PInt<U>

The resulting type after applying the + operator.

fn add(self, _: Z0) -> <PInt<U> as Add<Z0>>::Output

Performs the + operation.

impl<U> Clone for PInt<U>where
    U: Clone + Unsigned + NonZero,

fn clone(&self) -> PInt<U>

Returns a copy of the value.

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

Performs copy-assignment from source.

impl<P, N> Cmp<NInt<N>> for PInt<P>where
    P: Unsigned + NonZero,
    N: Unsigned + NonZero,

X > - Y

type Output = Greater

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

impl<P, N> Cmp<PInt<P>> for NInt<N>where
    P: Unsigned + NonZero,
    N: Unsigned + NonZero,

-X < Y

type Output = Less

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

impl<Pl, Pr> Cmp<PInt<Pr>> for PInt<Pl>where
    Pl: Cmp<Pr> + Unsigned + NonZero,
    Pr: Unsigned + NonZero,

X <==> Y

type Output = <Pl as Cmp<Pr>>::Output

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

impl<U> Cmp<PInt<U>> for Z0where
    U: Unsigned + NonZero,

0 < X

type Output = Less

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

impl<U> Cmp<Z0> for PInt<U>where
    U: Unsigned + NonZero,

X > 0

type Output = Greater

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

impl<U> Debug for PInt<U>where
    U: Debug + Unsigned + NonZero,

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

Formats the value using the given formatter.

impl<U> Default for PInt<U>where
    U: Default + Unsigned + NonZero,

fn default() -> PInt<U>

Returns the “default value” for a type.

impl<Ul, Ur> Div<NInt<Ur>> for PInt<Ul>where
    Ul: Unsigned + NonZero + Cmp<Ur>,
    Ur: Unsigned + NonZero,
    PInt<Ul>: PrivateDivInt<<Ul as Cmp<Ur>>::Output, NInt<Ur>>,

$A<Ul> / $B<Ur> = $R<Ul / Ur>

type Output = <PInt<Ul> as PrivateDivInt<<Ul as Cmp<Ur>>::Output, NInt<Ur>>>::Output

The resulting type after applying the / operator.

fn div(self, rhs: NInt<Ur>) -> <PInt<Ul> as Div<NInt<Ur>>>::Output

Performs the / operation.

impl<Ul, Ur> Div<PInt<Ur>> for NInt<Ul>where
    Ul: Unsigned + NonZero + Cmp<Ur>,
    Ur: Unsigned + NonZero,
    NInt<Ul>: PrivateDivInt<<Ul as Cmp<Ur>>::Output, PInt<Ur>>,

$A<Ul> / $B<Ur> = $R<Ul / Ur>

type Output = <NInt<Ul> as PrivateDivInt<<Ul as Cmp<Ur>>::Output, PInt<Ur>>>::Output

The resulting type after applying the / operator.

fn div(self, rhs: PInt<Ur>) -> <NInt<Ul> as Div<PInt<Ur>>>::Output

Performs the / operation.

impl<Ul, Ur> Div<PInt<Ur>> for PInt<Ul>where
    Ul: Unsigned + NonZero + Cmp<Ur>,
    Ur: Unsigned + NonZero,
    PInt<Ul>: PrivateDivInt<<Ul as Cmp<Ur>>::Output, PInt<Ur>>,

$A<Ul> / $B<Ur> = $R<Ul / Ur>

type Output = <PInt<Ul> as PrivateDivInt<<Ul as Cmp<Ur>>::Output, PInt<Ur>>>::Output

The resulting type after applying the / operator.

fn div(self, rhs: PInt<Ur>) -> <PInt<Ul> as Div<PInt<Ur>>>::Output

Performs the / operation.

impl<U1, U2> Gcd<NInt<U2>> for PInt<U1>where
    U1: Unsigned + NonZero + Gcd<U2>,
    U2: Unsigned + NonZero,
    <U1 as Gcd<U2>>::Output: Unsigned + NonZero,

type Output = PInt<<U1 as Gcd<U2>>::Output>

The greatest common divisor.

impl<U> Gcd<PInt<U>> for Z0where
    U: Unsigned + NonZero,

type Output = PInt<U>

The greatest common divisor.

impl<U1, U2> Gcd<PInt<U2>> for NInt<U1>where
    U1: Unsigned + NonZero + Gcd<U2>,
    U2: Unsigned + NonZero,
    <U1 as Gcd<U2>>::Output: Unsigned + NonZero,

type Output = PInt<<U1 as Gcd<U2>>::Output>

The greatest common divisor.

impl<U1, U2> Gcd<PInt<U2>> for PInt<U1>where
    U1: Unsigned + NonZero + Gcd<U2>,
    U2: Unsigned + NonZero,
    <U1 as Gcd<U2>>::Output: Unsigned + NonZero,

type Output = PInt<<U1 as Gcd<U2>>::Output>

The greatest common divisor.

impl<U> Gcd<Z0> for PInt<U>where
    U: Unsigned + NonZero,

type Output = PInt<U>

The greatest common divisor.

impl<U> Hash for PInt<U>where
    U: Hash + Unsigned + NonZero,

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

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<U> Integer for PInt<U>where
    U: Unsigned + NonZero,

const I8: i8 = U::I8

const I16: i16 = U::I16

const I32: i32 = U::I32

const I64: i64 = U::I64

const ISIZE: isize = U::ISIZE

fn to_i8() -> i8

fn to_i16() -> i16

fn to_i32() -> i32

fn to_i64() -> i64

fn to_isize() -> isize

impl<Ul, Ur> Max<NInt<Ur>> for PInt<Ul>where
    Ul: Unsigned + NonZero,
    Ur: Unsigned + NonZero,

type Output = PInt<Ul>

The type of the maximum of Self and Rhs

fn max(self, _: NInt<Ur>) -> <PInt<Ul> as Max<NInt<Ur>>>::Output

Method returning the maximum

impl<U> Max<PInt<U>> for Z0where
    U: Unsigned + NonZero,

type Output = PInt<U>

The type of the maximum of Self and Rhs

fn max(self, rhs: PInt<U>) -> <Z0 as Max<PInt<U>>>::Output

Method returning the maximum

impl<Ul, Ur> Max<PInt<Ur>> for NInt<Ul>where
    Ul: Unsigned + NonZero,
    Ur: Unsigned + NonZero,

type Output = PInt<Ur>

The type of the maximum of Self and Rhs

fn max(self, rhs: PInt<Ur>) -> <NInt<Ul> as Max<PInt<Ur>>>::Output

Method returning the maximum

impl<Ul, Ur> Max<PInt<Ur>> for PInt<Ul>where
    Ul: Unsigned + NonZero + Max<Ur>,
    Ur: Unsigned + NonZero,
    <Ul as Max<Ur>>::Output: Unsigned + NonZero,

type Output = PInt<<Ul as Max<Ur>>::Output>

The type of the maximum of Self and Rhs

fn max(self, rhs: PInt<Ur>) -> <PInt<Ul> as Max<PInt<Ur>>>::Output

Method returning the maximum

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

type Output = PInt<U>

The type of the maximum of Self and Rhs

fn max(self, _: Z0) -> <PInt<U> as Max<Z0>>::Output

Method returning the maximum

impl<Ul, Ur> Min<NInt<Ur>> for PInt<Ul>where
    Ul: Unsigned + NonZero,
    Ur: Unsigned + NonZero,

type Output = NInt<Ur>

The type of the minimum of Self and Rhs

fn min(self, rhs: NInt<Ur>) -> <PInt<Ul> as Min<NInt<Ur>>>::Output

Method returning the minimum

impl<U> Min<PInt<U>> for Z0where
    U: Unsigned + NonZero,

type Output = Z0

The type of the minimum of Self and Rhs

fn min(self, _: PInt<U>) -> <Z0 as Min<PInt<U>>>::Output

Method returning the minimum

impl<Ul, Ur> Min<PInt<Ur>> for NInt<Ul>where
    Ul: Unsigned + NonZero,
    Ur: Unsigned + NonZero,

type Output = NInt<Ul>

The type of the minimum of Self and Rhs

fn min(self, _: PInt<Ur>) -> <NInt<Ul> as Min<PInt<Ur>>>::Output

Method returning the minimum

impl<Ul, Ur> Min<PInt<Ur>> for PInt<Ul>where
    Ul: Unsigned + NonZero + Min<Ur>,
    Ur: Unsigned + NonZero,
    <Ul as Min<Ur>>::Output: Unsigned + NonZero,

type Output = PInt<<Ul as Min<Ur>>::Output>

The type of the minimum of Self and Rhs

fn min(self, rhs: PInt<Ur>) -> <PInt<Ul> as Min<PInt<Ur>>>::Output

Method returning the minimum

impl<U> Min<Z0> for PInt<U>where
    U: Unsigned + NonZero,

type Output = Z0

The type of the minimum of Self and Rhs

fn min(self, rhs: Z0) -> <PInt<U> as Min<Z0>>::Output

Method returning the minimum

impl<U> Mul<ATerm> for PInt<U>where
    U: Unsigned + NonZero,

type Output = ATerm

The resulting type after applying the * operator.

fn mul(self, _: ATerm) -> <PInt<U> as Mul<ATerm>>::Output

Performs the * operation.

impl<Ul, Ur> Mul<NInt<Ur>> for PInt<Ul>where
    Ul: Unsigned + NonZero + Mul<Ur>,
    Ur: Unsigned + NonZero,
    <Ul as Mul<Ur>>::Output: Unsigned + NonZero,

P(Ul) * N(Ur) = N(Ul * Ur)

type Output = NInt<<Ul as Mul<Ur>>::Output>

The resulting type after applying the * operator.

fn mul(self, _: NInt<Ur>) -> <PInt<Ul> as Mul<NInt<Ur>>>::Output

Performs the * operation.

impl<Ul, Ur> Mul<PInt<Ur>> for NInt<Ul>where
    Ul: Unsigned + NonZero + Mul<Ur>,
    Ur: Unsigned + NonZero,
    <Ul as Mul<Ur>>::Output: Unsigned + NonZero,

N(Ul) * P(Ur) = N(Ul * Ur)

type Output = NInt<<Ul as Mul<Ur>>::Output>

The resulting type after applying the * operator.

fn mul(self, _: PInt<Ur>) -> <NInt<Ul> as Mul<PInt<Ur>>>::Output

Performs the * operation.

impl<Ul, Ur> Mul<PInt<Ur>> for PInt<Ul>where
    Ul: Unsigned + NonZero + Mul<Ur>,
    Ur: Unsigned + NonZero,
    <Ul as Mul<Ur>>::Output: Unsigned + NonZero,

P(Ul) * P(Ur) = P(Ul * Ur)

type Output = PInt<<Ul as Mul<Ur>>::Output>

The resulting type after applying the * operator.

fn mul(self, _: PInt<Ur>) -> <PInt<Ul> as Mul<PInt<Ur>>>::Output

Performs the * operation.

impl<V, A, U> Mul<TArr<V, A>> for PInt<U>where
    U: Unsigned + NonZero,
    PInt<U>: Mul<A> + Mul<V>,

type Output = TArr<<PInt<U> as Mul<V>>::Output, <PInt<U> as Mul<A>>::Output>

The resulting type after applying the * operator.

fn mul(self, rhs: TArr<V, A>) -> <PInt<U> as Mul<TArr<V, A>>>::Output

Performs the * operation.

impl<U> Mul<Z0> for PInt<U>where
    U: Unsigned + NonZero,

P * Z0 = Z0

type Output = Z0

The resulting type after applying the * operator.

fn mul(self, _: Z0) -> <PInt<U> as Mul<Z0>>::Output

Performs the * operation.

impl<U> Neg for PInt<U>where
    U: Unsigned + NonZero,

-PInt = NInt

type Output = NInt<U>

The resulting type after applying the - operator.

fn neg(self) -> <PInt<U> as Neg>::Output

Performs the unary - operation.

impl<U> Ord for PInt<U>where
    U: Ord + Unsigned + NonZero,

fn cmp(&self, other: &PInt<U>) -> Ordering

This method returns an Ordering between self and other.

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

Compares and returns the maximum of two values.

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

Compares and returns the minimum of two values.

fn clamp(self, min: Self, max: Self) -> Selfwhere
    Self: Sized + PartialOrd<Self>,

Restrict a value to a certain interval.

impl<U> PartialEq<PInt<U>> for PInt<U>where
    U: PartialEq<U> + Unsigned + NonZero,

fn eq(&self, other: &PInt<U>) -> bool

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

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

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

impl<U> PartialOrd<PInt<U>> for PInt<U>where
    U: PartialOrd<U> + Unsigned + NonZero,

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

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

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

This method tests less than (for self and other) and is used by the < operator.

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

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

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

This method tests greater than (for self and other) and is used by the > operator.

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

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

impl<U> Pow<NInt<U>> for PInt<UInt<UTerm, B1>>where
    U: Unsigned + NonZero,

1^N = 1

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

The result of the exponentiation.

fn powi(self, _: NInt<U>) -> <PInt<UInt<UTerm, B1>> as Pow<NInt<U>>>::Output

This function isn’t used in this crate, but may be useful for others. It is implemented for primitives.

impl<U> Pow<PInt<U>> for Z0where
    U: Unsigned + NonZero,

0^P = 0

type Output = Z0

The result of the exponentiation.

fn powi(self, _: PInt<U>) -> <Z0 as Pow<PInt<U>>>::Output

This function isn’t used in this crate, but may be useful for others. It is implemented for primitives.

impl<U> Pow<PInt<U>> for f32where
    U: Unsigned + NonZero,

type Output = f32

The result of the exponentiation.

fn powi(self, _: PInt<U>) -> <f32 as Pow<PInt<U>>>::Output

This function isn’t used in this crate, but may be useful for others. It is implemented for primitives.

impl<U> Pow<PInt<U>> for f64where
    U: Unsigned + NonZero,

type Output = f64

The result of the exponentiation.

fn powi(self, _: PInt<U>) -> <f64 as Pow<PInt<U>>>::Output

This function isn’t used in this crate, but may be useful for others. It is implemented for primitives.

impl<U> Pow<PInt<U>> for i16where
    U: Unsigned + NonZero,

type Output = i16

The result of the exponentiation.

fn powi(self, _: PInt<U>) -> <i16 as Pow<PInt<U>>>::Output

This function isn’t used in this crate, but may be useful for others. It is implemented for primitives.

impl<U> Pow<PInt<U>> for i32where
    U: Unsigned + NonZero,

type Output = i32

The result of the exponentiation.

fn powi(self, _: PInt<U>) -> <i32 as Pow<PInt<U>>>::Output

This function isn’t used in this crate, but may be useful for others. It is implemented for primitives.

impl<U> Pow<PInt<U>> for i64where
    U: Unsigned + NonZero,

type Output = i64

The result of the exponentiation.

fn powi(self, _: PInt<U>) -> <i64 as Pow<PInt<U>>>::Output

This function isn’t used in this crate, but may be useful for others. It is implemented for primitives.

impl<U> Pow<PInt<U>> for i8where
    U: Unsigned + NonZero,

type Output = i8

The result of the exponentiation.

fn powi(self, _: PInt<U>) -> <i8 as Pow<PInt<U>>>::Output

This function isn’t used in this crate, but may be useful for others. It is implemented for primitives.

impl<U> Pow<PInt<U>> for isizewhere
    U: Unsigned + NonZero,

type Output = isize

The result of the exponentiation.

fn powi(self, _: PInt<U>) -> <isize as Pow<PInt<U>>>::Output

This function isn’t used in this crate, but may be useful for others. It is implemented for primitives.

impl<U> Pow<PInt<U>> for u16where
    U: Unsigned + NonZero,

type Output = u16

The result of the exponentiation.

fn powi(self, _: PInt<U>) -> <u16 as Pow<PInt<U>>>::Output

This function isn’t used in this crate, but may be useful for others. It is implemented for primitives.

impl<U> Pow<PInt<U>> for u32where
    U: Unsigned + NonZero,

type Output = u32

The result of the exponentiation.

fn powi(self, _: PInt<U>) -> <u32 as Pow<PInt<U>>>::Output

This function isn’t used in this crate, but may be useful for others. It is implemented for primitives.

impl<U> Pow<PInt<U>> for u64where
    U: Unsigned + NonZero,

type Output = u64

The result of the exponentiation.

fn powi(self, _: PInt<U>) -> <u64 as Pow<PInt<U>>>::Output

This function isn’t used in this crate, but may be useful for others. It is implemented for primitives.

impl<U> Pow<PInt<U>> for u8where
    U: Unsigned + NonZero,

type Output = u8

The result of the exponentiation.

fn powi(self, _: PInt<U>) -> <u8 as Pow<PInt<U>>>::Output

This function isn’t used in this crate, but may be useful for others. It is implemented for primitives.

impl<U> Pow<PInt<U>> for usizewhere
    U: Unsigned + NonZero,

type Output = usize

The result of the exponentiation.

fn powi(self, _: PInt<U>) -> <usize as Pow<PInt<U>>>::Output

This function isn’t used in this crate, but may be useful for others. It is implemented for primitives.

impl<Ul, Ur> Pow<PInt<UInt<Ur, B0>>> for NInt<Ul>where
    Ul: Unsigned + NonZero + Pow<UInt<Ur, B0>>,
    Ur: Unsigned,
    <Ul as Pow<UInt<Ur, B0>>>::Output: Unsigned + NonZero,

N(Ul)^P(Ur) = P(Ul^Ur) if Ur is even

type Output = PInt<<Ul as Pow<UInt<Ur, B0>>>::Output>

The result of the exponentiation.

fn powi(
    self,
    _: PInt<UInt<Ur, B0>>
) -> <NInt<Ul> as Pow<PInt<UInt<Ur, B0>>>>::Output

This function isn’t used in this crate, but may be useful for others. It is implemented for primitives.

impl<Ul, Ur> Pow<PInt<UInt<Ur, B1>>> for NInt<Ul>where
    Ul: Unsigned + NonZero + Pow<UInt<Ur, B1>>,
    Ur: Unsigned,
    <Ul as Pow<UInt<Ur, B1>>>::Output: Unsigned + NonZero,

N(Ul)^P(Ur) = N(Ul^Ur) if Ur is odd

type Output = NInt<<Ul as Pow<UInt<Ur, B1>>>::Output>

The result of the exponentiation.

fn powi(
    self,
    _: PInt<UInt<Ur, B1>>
) -> <NInt<Ul> as Pow<PInt<UInt<Ur, B1>>>>::Output

This function isn’t used in this crate, but may be useful for others. It is implemented for primitives.

impl<Ul, Ur> Pow<PInt<Ur>> for PInt<Ul>where
    Ul: Unsigned + NonZero + Pow<Ur>,
    Ur: Unsigned + NonZero,
    <Ul as Pow<Ur>>::Output: Unsigned + NonZero,

P(Ul)^P(Ur) = P(Ul^Ur)

type Output = PInt<<Ul as Pow<Ur>>::Output>

The result of the exponentiation.

fn powi(self, _: PInt<Ur>) -> <PInt<Ul> as Pow<PInt<Ur>>>::Output

This function isn’t used in this crate, but may be useful for others. It is implemented for primitives.

impl<U> Pow<Z0> for PInt<U>where
    U: Unsigned + NonZero,

P^0 = 1

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

The result of the exponentiation.

fn powi(self, _: Z0) -> <PInt<U> as Pow<Z0>>::Output

This function isn’t used in this crate, but may be useful for others. It is implemented for primitives.

impl<Ul, Ur> Rem<NInt<Ur>> for PInt<Ul>where
    Ul: Unsigned + NonZero + Rem<Ur>,
    Ur: Unsigned + NonZero,
    PInt<Ul>: PrivateRem<<Ul as Rem<Ur>>::Output, NInt<Ur>>,

$A<Ul> % $B<Ur> = $R<Ul % Ur>

type Output = <PInt<Ul> as PrivateRem<<Ul as Rem<Ur>>::Output, NInt<Ur>>>::Output

The resulting type after applying the % operator.

fn rem(self, rhs: NInt<Ur>) -> <PInt<Ul> as Rem<NInt<Ur>>>::Output

Performs the % operation.

impl<Ul, Ur> Rem<PInt<Ur>> for NInt<Ul>where
    Ul: Unsigned + NonZero + Rem<Ur>,
    Ur: Unsigned + NonZero,
    NInt<Ul>: PrivateRem<<Ul as Rem<Ur>>::Output, PInt<Ur>>,

$A<Ul> % $B<Ur> = $R<Ul % Ur>

type Output = <NInt<Ul> as PrivateRem<<Ul as Rem<Ur>>::Output, PInt<Ur>>>::Output

The resulting type after applying the % operator.

fn rem(self, rhs: PInt<Ur>) -> <NInt<Ul> as Rem<PInt<Ur>>>::Output

Performs the % operation.

impl<Ul, Ur> Rem<PInt<Ur>> for PInt<Ul>where
    Ul: Unsigned + NonZero + Rem<Ur>,
    Ur: Unsigned + NonZero,
    PInt<Ul>: PrivateRem<<Ul as Rem<Ur>>::Output, PInt<Ur>>,

$A<Ul> % $B<Ur> = $R<Ul % Ur>

type Output = <PInt<Ul> as PrivateRem<<Ul as Rem<Ur>>::Output, PInt<Ur>>>::Output

The resulting type after applying the % operator.

fn rem(self, rhs: PInt<Ur>) -> <PInt<Ul> as Rem<PInt<Ur>>>::Output

Performs the % operation.

impl<Ul, Ur> Sub<NInt<Ur>> for PInt<Ul>where
    Ul: Unsigned + NonZero + Add<Ur>,
    Ur: Unsigned + NonZero,
    <Ul as Add<Ur>>::Output: Unsigned + NonZero,

P(Ul) - N(Ur) = P(Ul + Ur)

type Output = PInt<<Ul as Add<Ur>>::Output>

The resulting type after applying the - operator.

fn sub(self, _: NInt<Ur>) -> <PInt<Ul> as Sub<NInt<Ur>>>::Output

Performs the - operation.

impl<U> Sub<PInt<U>> for Z0where
    U: Unsigned + NonZero,

Z0 - P = N

type Output = NInt<U>

The resulting type after applying the - operator.

fn sub(self, _: PInt<U>) -> <Z0 as Sub<PInt<U>>>::Output

Performs the - operation.

impl<Ul, Ur> Sub<PInt<Ur>> for NInt<Ul>where
    Ul: Unsigned + NonZero + Add<Ur>,
    Ur: Unsigned + NonZero,
    <Ul as Add<Ur>>::Output: Unsigned + NonZero,

N(Ul) - P(Ur) = N(Ul + Ur)

type Output = NInt<<Ul as Add<Ur>>::Output>

The resulting type after applying the - operator.

fn sub(self, _: PInt<Ur>) -> <NInt<Ul> as Sub<PInt<Ur>>>::Output

Performs the - operation.

impl<Ul, Ur> Sub<PInt<Ur>> for PInt<Ul>where
    Ul: Unsigned + NonZero + Cmp<Ur> + PrivateIntegerAdd<<Ul as Cmp<Ur>>::Output, Ur>,
    Ur: Unsigned + NonZero,

P(Ul) - P(Ur): We resolve this with our PrivateAdd

type Output = <Ul as PrivateIntegerAdd<<Ul as Cmp<Ur>>::Output, Ur>>::Output

The resulting type after applying the - operator.

fn sub(self, rhs: PInt<Ur>) -> <PInt<Ul> as Sub<PInt<Ur>>>::Output

Performs the - operation.

impl<U> Sub<Z0> for PInt<U>where
    U: Unsigned + NonZero,

PInt - Z0 = PInt

type Output = PInt<U>

The resulting type after applying the - operator.

fn sub(self, _: Z0) -> <PInt<U> as Sub<Z0>>::Output

Performs the - operation.

impl<U> ToInt<i16> for PInt<U>where
    U: Unsigned + NonZero,

fn to_int() -> i16

Method returning the concrete value for the type.

const INT: i16 = Self::I16

The concrete value for the type. Can be used in const contexts.

impl<U> ToInt<i32> for PInt<U>where
    U: Unsigned + NonZero,

fn to_int() -> i32

Method returning the concrete value for the type.

const INT: i32 = Self::I32

The concrete value for the type. Can be used in const contexts.

impl<U> ToInt<i64> for PInt<U>where
    U: Unsigned + NonZero,

fn to_int() -> i64

Method returning the concrete value for the type.

const INT: i64 = Self::I64

The concrete value for the type. Can be used in const contexts.

impl<U> ToInt<i8> for PInt<U>where
    U: Unsigned + NonZero,

fn to_int() -> i8

Method returning the concrete value for the type.

const INT: i8 = Self::I8

The concrete value for the type. Can be used in const contexts.

impl<U> Copy for PInt<U>where
    U: Copy + Unsigned + NonZero,

impl<U> Eq for PInt<U>where
    U: Eq + Unsigned + NonZero,

impl<U> NonZero for PInt<U>where
    U: Unsigned + NonZero,

impl<U> PowerOfTwo for PInt<U>where
    U: Unsigned + NonZero + PowerOfTwo,

impl<U> StructuralEq for PInt<U>where
    U: Unsigned + NonZero,

impl<U> StructuralPartialEq for PInt<U>where
    U: Unsigned + NonZero,