Type Alias P1

pub type P1 = PInt<U1>;

Aliased Type

pub struct P1 { /* private fields */ }

Implementations

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

pub fn new() -> PInt<U>

Instantiates a singleton representing this strictly positive integer.

Trait Implementations

impl<U: Unsigned + NonZero> Pow<NInt<U>> for P1

1^N = 1

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

The result of the exponentiation.

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.

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

type Output = PInt<U>

The absolute value.

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

where Ul: Cmp<Ur> + PrivateIntegerAdd<<Ul as Cmp<Ur>>::Output, 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>) -> Self::Output

Performs the + operation.

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

where Ul: Add<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>) -> Self::Output

Performs the + operation.

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

PInt + Z0 = PInt

type Output = PInt<U>

The resulting type after applying the + operator.

fn add(self, _: Z0) -> Self::Output

Performs the + operation.

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

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

X > - Y

type Output = Greater

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

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

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

X > 0

type Output = Greater

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

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

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

Formats the value using the given formatter.

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

fn default() -> PInt<U>

Returns the “default value” for a type.

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

where Ul: Cmp<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>) -> Self::Output

Performs the / operation.

impl<Ul, Ur: Unsigned + NonZero> Div<PInt<Ur>> for PInt<Ul>

where Ul: Cmp<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>) -> Self::Output

Performs the / operation.

impl<U1, U2> Gcd<NInt<U2>> for PInt<U1>

where U1: Unsigned + NonZero + Gcd<U2>, U2: Unsigned + NonZero, Gcf<U1, U2>: 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, Gcf<U1, U2>: 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 + Unsigned + NonZero> Hash for PInt<U>

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

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>) -> Self::Output

Method returning the maximum

impl<Ul, Ur> Max<PInt<Ur>> for PInt<Ul>

where Ul: Unsigned + NonZero + Max<Ur>, Ur: Unsigned + NonZero, Maximum<Ul, Ur>: 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>) -> Self::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) -> Self::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>) -> Self::Output

Method returning the minimum

impl<Ul, Ur> Min<PInt<Ur>> for PInt<Ul>

where Ul: Unsigned + NonZero + Min<Ur>, Ur: Unsigned + NonZero, Minimum<Ul, Ur>: 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>) -> Self::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) -> Self::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) -> Self::Output

Performs the * operation.

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

where Ul: Mul<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>) -> Self::Output

Performs the * operation.

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

where Ul: Mul<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>) -> Self::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>) -> Self::Output

Performs the * operation.

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

P * Z0 = Z0

type Output = Z0

The resulting type after applying the * operator.

fn mul(self, _: Z0) -> Self::Output

Performs the * operation.

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

-PInt = NInt

type Output = NInt<U>

The resulting type after applying the - operator.

fn neg(self) -> Self::Output

Performs the unary - operation.

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

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

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

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

Tests for self and other values to be equal, and is used by ==.

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

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

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

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

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<Ul, Ur: Unsigned + NonZero> Pow<PInt<Ur>> for PInt<Ul>

where Ul: Pow<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>) -> Self::Output

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

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

P^0 = 1

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

The result of the exponentiation.

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.

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

where Ul: Rem<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>) -> Self::Output

Performs the % operation.

impl<Ul, Ur: Unsigned + NonZero> Rem<PInt<Ur>> for PInt<Ul>

where Ul: Rem<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>) -> Self::Output

Performs the % operation.

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

where Ul: Add<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>) -> Self::Output

Performs the - operation.

impl<Ul, Ur: Unsigned + NonZero> Sub<PInt<Ur>> for PInt<Ul>

where Ul: Cmp<Ur> + PrivateIntegerAdd<<Ul as Cmp<Ur>>::Output, 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>) -> Self::Output

Performs the - operation.

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

PInt - Z0 = PInt

type Output = PInt<U>

The resulting type after applying the - operator.

fn sub(self, _: Z0) -> Self::Output

Performs the - operation.

impl<U> ToInt<i16> for PInt<U>

where U: Unsigned + NonZero,

const INT: i16 = Self::I16

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

fn to_int() -> i16

Method returning the concrete value for the type.

impl<U> ToInt<i32> for PInt<U>

where U: Unsigned + NonZero,

const INT: i32 = Self::I32

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

fn to_int() -> i32

Method returning the concrete value for the type.

impl<U> ToInt<i64> for PInt<U>

where U: Unsigned + NonZero,

const INT: i64 = Self::I64

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

fn to_int() -> i64

Method returning the concrete value for the type.

impl<U> ToInt<i8> for PInt<U>

where U: Unsigned + NonZero,

const INT: i8 = Self::I8

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

fn to_int() -> i8

Method returning the concrete value for the type.

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

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

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

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

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

Layout

Note: Most layout information is completely unstable and may even differ between compilations. The only exception is types with certain repr(...) attributes. Please see the Rust Reference's “Type Layout” chapter for details on type layout guarantees.

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