Struct typenum::int::PInt

pub struct PInt<U: Unsigned + NonZero> { /* fields omitted */ }

Type-level signed integers with positive sign.

Methods

impl<U: Unsigned + NonZero> PInt<U>

fn new() -> PInt<U>

Instantiates a singleton representing this strictly positive integer.

Trait Implementations

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

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

fn eq(&self, __arg_0: &PInt<U>) -> bool

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

fn ne(&self, __arg_0: &PInt<U>) -> bool

This method tests for !=.

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

fn cmp(&self, __arg_0: &PInt<U>) -> Ordering

This method returns an Ordering between self and other.

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

fn partial_cmp(&self, __arg_0: &PInt<U>) -> Option<Ordering>

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

fn lt(&self, __arg_0: &PInt<U>) -> bool

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

fn le(&self, __arg_0: &PInt<U>) -> bool

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

fn gt(&self, __arg_0: &PInt<U>) -> bool

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

fn ge(&self, __arg_0: &PInt<U>) -> bool

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

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

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

fn hash<__HU: Hasher>(&self, __arg_0: &mut __HU)

Feeds this value into the state given, updating the hasher as necessary.

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

Feeds a slice of this type into the state provided.

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

fn fmt(&self, __arg_0: &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<U: Unsigned + NonZero> NonZero for PInt<U>

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

fn to_i8() -> i8

fn to_i16() -> i16

fn to_i32() -> i32

fn to_i64() -> i64

fn to_isize() -> isize

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

The method for the unary - operator

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

The method for the + operator

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

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

type Output = PInt<Ul::Output>

The resulting type after applying the + operator

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

The method for the + operator

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

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

type Output = Ul::Output

The resulting type after applying the + operator

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

The method for the + operator

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

The method for the - operator

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

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

type Output = PInt<Ul::Output>

The resulting type after applying the - operator

fn sub(self, _: NInt<Ur>) -> Self::Output

The method for the - operator

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

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

type Output = Ul::Output

The resulting type after applying the - operator

fn sub(self, _: PInt<Ur>) -> Self::Output

The method for the - operator

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

The method for the * operator

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

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

type Output = PInt<Ul::Output>

The resulting type after applying the * operator

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

The method for the * operator

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

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

type Output = NInt<Ul::Output>

The resulting type after applying the * operator

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

The method for the * operator

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

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

type Output = PInt<Ul>::Output

The resulting type after applying the / operator

fn div(self, _: PInt<Ur>) -> Self::Output

The method for the / operator

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

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

type Output = PInt<Ul>::Output

The resulting type after applying the / operator

fn div(self, _: NInt<Ur>) -> Self::Output

The method for the / operator

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<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::Output

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

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

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

type Output = PInt<Ul>::Output

The resulting type after applying the % operator

fn rem(self, _: PInt<Ur>) -> Self::Output

The method for the % operator

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

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

type Output = PInt<Ul>::Output

The resulting type after applying the % operator

fn rem(self, _: NInt<Ur>) -> Self::Output

The method for the % operator

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

P⁰ = 1

type Output = P1

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

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

type Output = PInt<Ul::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> 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<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<Minimum<Ul, Ur>>

The type of the minimum of Self and Rhs

fn min(self, _: PInt<Ur>) -> Self::Output

Method returning the minimum

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

type Output = PInt<Maximum<Ul, Ur>>

The type of the maximum of Self and Rhs

fn max(self, _: PInt<Ur>) -> Self::Output

Method returning the maximum

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

type Output = Self

The absolute value.

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

The method for the * operator

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

type Output = TArr<Prod<PInt<U>, V>, Prod<PInt<U>, A>>

The resulting type after applying the * operator

fn mul(self, _: TArr<V, A>) -> Self::Output

The method for the * operator