Struct diffgeom::typenum::PInt

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

Type-level signed integers with positive sign.

Methods

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

fn new() -> PInt<U>

Instantiates a singleton representing this strictly positive integer.

Trait Implementations

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

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

X > 0

type Output = Greater

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

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

X > - Y

type Output = Greater

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: NonZero + Unsigned + Cmp<Pr>,
    Pr: NonZero + Unsigned, 

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

PInt + Z0 = PInt

type Output = PInt<U>

The resulting type after applying the + operator

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

The method for the + operator

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

The method for the + operator

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

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, NInt<Ur>) -> <PInt<Ul> as Add<NInt<Ur>>>::Output

The method for the + operator

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

fn fmt(&self, __arg_0: &mut Formatter) -> Result<(), Error>

Formats the value using the given formatter.

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

-PInt = NInt

type Output = NInt<U>

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

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

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

P⁰ = 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<U> Eq for PInt<U> where
    U: NonZero + Unsigned + Eq, 

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

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

The type of the minimum of Self and Rhs

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

Method returning the minimum

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

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

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

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

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

fn to_i8() -> i8

fn to_i16() -> i16

fn to_i32() -> i32

fn to_i64() -> i64

fn to_isize() -> isize

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

The method for the * operator

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

The method for the * operator

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

The method for the * operator

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

The method for the * operator

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

P * Z0 = Z0

type Output = Z0

The resulting type after applying the * operator

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

The method for the * operator

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

The method for the / operator

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

The method for the / operator

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

fn default() -> PInt<U>

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

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

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

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

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

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

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

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

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

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

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

The type of the maximum of Self and Rhs

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

Method returning the maximum

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

type Output = PInt<U>

The absolute value.

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

The method for the - operator

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

PInt - Z0 = PInt

type Output = PInt<U>

The resulting type after applying the - operator

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

The method for the - operator

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

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, PInt<Ur>) -> <PInt<Ul> as Sub<PInt<Ur>>>::Output

The method for the - operator

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

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

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