Type Alias N1

pub type N1 = NInt<U1>;

Aliased Type

pub struct N1 { /* private fields */ }

Implementations

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

pub fn new() -> NInt<U>

Instantiates a singleton representing this strictly negative integer.

Trait Implementations

impl<U: Unsigned> Pow<NInt<UInt<U, B0>>> for N1

(-1)^N = 1 if N is even

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

The result of the exponentiation.

fn powi(self, _: NInt<UInt<U, B0>>) -> Self::Output

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

impl<U: Unsigned> Pow<NInt<UInt<U, B1>>> for N1

(-1)^N = -1 if N is odd

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

The result of the exponentiation.

fn powi(self, _: NInt<UInt<U, B1>>) -> 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 NInt<U>

type Output = PInt<U>

The absolute value.

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

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

N(Ul) + N(Ur) = N(Ul + Ur)

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

The resulting type after applying the + operator.

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

Performs the + operation.

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

where Ur: Cmp<Ul> + PrivateIntegerAdd<<Ur as Cmp<Ul>>::Output, Ul> + Unsigned + NonZero,

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>) -> Self::Output

Performs the + operation.

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

NInt + Z0 = NInt

type Output = NInt<U>

The resulting type after applying the + operator.

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

Performs the + operation.

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

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

Returns a copy of the value.

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

Performs copy-assignment from source.

impl<Nl: Unsigned + NonZero, Nr: Cmp<Nl> + Unsigned + NonZero> Cmp<NInt<Nr>> for NInt<Nl>

-X <==> -Y

type Output = <Nr as Cmp<Nl>>::Output

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

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

-X < Y

type Output = Less

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

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

-X < 0

type Output = Less

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

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

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

Formats the value using the given formatter.

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

fn default() -> NInt<U>

Returns the “default value” for a type.

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

where Ul: Cmp<Ur> + Unsigned + NonZero, NInt<Ul>: PrivateDivInt<<Ul as Cmp<Ur>>::Output, NInt<Ur>>,

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

type Output = <NInt<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 NInt<Ul>

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

Performs the / operation.

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

where U: Unsigned + NonZero,

type Output = PInt<U>

The greatest common divisor.

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

const I8: i8

const I16: i16

const I32: i32

const I64: i64

const ISIZE: 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 NInt<Ul>

where Ul: Unsigned + NonZero + Min<Ur>, Ur: Unsigned + NonZero, Minimum<Ul, Ur>: Unsigned + NonZero,

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

The type of the maximum of Self and Rhs

fn max(self, rhs: NInt<Ur>) -> Self::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>) -> Self::Output

Method returning the maximum

impl<U> Max<Z0> for NInt<U>

where U: Unsigned + NonZero,

type Output = Z0

The type of the maximum of Self and Rhs

fn max(self, rhs: Z0) -> Self::Output

Method returning the maximum

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

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

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

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 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>) -> Self::Output

Method returning the minimum

impl<U> Min<Z0> for NInt<U>

where U: Unsigned + NonZero,

type Output = NInt<U>

The type of the minimum of Self and Rhs

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

Method returning the minimum

impl<U> Mul<ATerm> for NInt<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 NInt<Ul>

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

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

type Output = PInt<<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 NInt<Ul>

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

Performs the * operation.

impl<V, A, U> Mul<TArr<V, A>> for NInt<U>

where U: Unsigned + NonZero, NInt<U>: Mul<A> + Mul<V>,

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

N * 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 NInt<U>

-NInt = PInt

type Output = PInt<U>

The resulting type after applying the - operator.

fn neg(self) -> Self::Output

Performs the unary - operation.

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

fn cmp(&self, other: &NInt<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 NInt<U>

fn eq(&self, other: &NInt<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 NInt<U>

fn partial_cmp(&self, other: &NInt<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> Pow<PInt<UInt<Ur, B0>>> for NInt<Ul>

where Ul: Pow<UInt<Ur, B0>> + Unsigned + NonZero, <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>>) -> 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> Pow<PInt<UInt<Ur, B1>>> for NInt<Ul>

where Ul: Pow<UInt<Ur, B1>> + Unsigned + NonZero, <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>>) -> 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 NInt<U>

N^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 NInt<Ul>

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

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

type Output = <NInt<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 NInt<Ul>

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

Performs the % operation.

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

where Ur: Cmp<Ul> + PrivateIntegerAdd<<Ur as Cmp<Ul>>::Output, Ul> + Unsigned + NonZero,

N(Ul) - N(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 sub(self, rhs: NInt<Ur>) -> Self::Output

Performs the - operation.

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

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

Performs the - operation.

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

NInt - Z0 = NInt

type Output = NInt<U>

The resulting type after applying the - operator.

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

Performs the - operation.

impl<U> ToInt<i16> for NInt<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 NInt<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 NInt<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 NInt<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 NInt<U>

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

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

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