Expand description
This crate provides type-level numbers evaluated at compile time. It depends only on libcore.
The traits defined or used in this crate are used in a typical manner. They can be divided into two categories: marker traits and type operators.
Many of the marker traits have functions defined, but they all do essentially the same thing: convert a type into its runtime counterpart, and are really just there for debugging. For example,
use typenum::{Integer, N4};
assert_eq!(N4::to_i32(), -4);
Type operators are traits that behave as functions at the type level. These are the meat of this library. Where possible, traits defined in libcore have been used, but their attached functions have not been implemented.
For example, the Add
trait is implemented for both unsigned and signed integers, but the
add
function is not. As there are never any objects of the types defined here, it wouldn’t
make sense to implement it. What is important is its associated type Output
, which is where
the addition happens.
use std::ops::Add;
use typenum::{Integer, P3, P4};
type X = <P3 as Add<P4>>::Output;
assert_eq!(<X as Integer>::to_i32(), 7);
In addition, helper aliases are defined for type operators. For example, the above snippet could be replaced with
use typenum::{Integer, Sum, P3, P4};
type X = Sum<P3, P4>;
assert_eq!(<X as Integer>::to_i32(), 7);
Documented in each module is the full list of type operators implemented.
Modules
A type-level array of type-level numbers.
Type-level bits.
Type aliases for many constants.
Type-level signed integers.
All of the marker traits used in typenum.
Aliases for the type operators used in this crate.
Their purpose is to increase the ergonomics of performing operations on the types defined
here. For even more ergonomics, consider using the op!
macro instead.
Useful type operators that are not defined in core::ops
.
Type-level unsigned integers.
Macros
Asserts that a type is True
, aka B1
.
Asserts that two types are the same.
A convenience macro for comparing type numbers. Use op!
instead.
Convenient type operations.
Create a new type-level arrray. Only usable on Rust 1.13.0 or newer.
Structs
The terminating type for type arrays.
The type-level bit 0.
The type-level bit 1.
A potential output from Cmp
, this is the type equivalent to the enum variant
core::cmp::Ordering::Equal
.
A potential output from Cmp
, this is the type equivalent to the enum variant
core::cmp::Ordering::Greater
.
A potential output from Cmp
, this is the type equivalent to the enum variant
core::cmp::Ordering::Less
.
Type-level signed integers with negative sign.
Type-level signed integers with positive sign.
TArr
is a type that acts as an array of types. It is defined similarly to UInt
, only its
values can be more than bits, and it is designed to act as an array. So you can only add two if
they have the same number of elements, for example.
UInt
is defined recursively, where B
is the least significant bit and U
is the rest
of the number. Conceptually, U
should be bound by the trait Unsigned
and B
should
be bound by the trait Bit
, but enforcing these bounds causes linear instead of
logrithmic scaling in some places, so they are left off for now. They may be enforced in
future.
The terminating type for UInt
; it always comes after the most significant
bit. UTerm
by itself represents zero, which is aliased to U0
.
The type-level signed integer 0.
Traits
A type operator that returns the absolute value.
The marker trait for compile time bits.
A type operator for comparing Self
and Rhs
. It provides a similar functionality to
the function
core::cmp::Ord::cmp
but for types.
A type operator that computes the greatest common divisor of Self
and Rhs
.
The marker trait for compile time signed integers.
A type operator that returns True
if Self == Rhs
, otherwise returns False
.
A type operator that returns True
if Self > Rhs
, otherwise returns False
.
A type operator that returns True
if Self >= Rhs
, otherwise returns False
.
A type operator that returns True
if Self < Rhs
, otherwise returns False
.
A type operator that returns True
if Self <= Rhs
, otherwise returns False
.
A type operator that returns True
if Self != Rhs
, otherwise returns False
.
A type operator that gives the length of an Array
or the number of bits in a UInt
.
A type operator for taking the integer binary logarithm of Self
.
A type operator that returns the maximum of Self
and Rhs
.
A type operator that returns the minimum of Self
and Rhs
.
A marker trait to designate that a type is not zero. All number types in this
crate implement NonZero
except B0
, U0
, and Z0
.
A Marker trait for the types Greater
, Equal
, and Less
.
Division as a partial function. This type operator performs division just as Div
, but is
only defined when the result is an integer (i.e. there is no remainder).
A type operator that provides exponentiation by repeated squaring.
The marker trait for type-level numbers which are a power of two.
A type operator that ensures that Rhs
is the same as Self
, it is mainly useful
for writing macros that can take arbitrary binary or unary operators.
A type operator for taking the integer square root of Self
.
A type operator for taking a concrete integer value from a type.
The marker trait for type-level arrays of type-level numbers.
The marker trait for compile time unsigned integers.
A marker trait to designate that a type is zero. Only B0
, U0
, and Z0
implement this trait.
Type Definitions
Alias for the associated type of Abs
: AbsVal<A> = <A as Abs>::Output
Alias to make it easy to add 1: Add1<A> = <A as Add<B1>>::Output
Alias for the associated type of BitAnd
: And<A, B> = <A as BitAnd<B>>::Output
Alias for the associated type of Cmp
: Compare<A, B> = <A as Cmp<B>>::Output
Alias to make it easy to cube. Cube<A> = <Square<A> as Mul<A>>::Output
Alias for the associated type of Sub
: Diff<A, B> = <A as Sub<B>>::Output
Alias to make it easy to multiply by 2. Double<A> = Shleft<A, B1>
Alias for the associated type of IsEqual
: Eq<A, B> = <A as IsEqual<B>>::Output
Alias for the associated type of Pow
: Exp<A, B> = <A as Pow<B>>::Output
Alias for the associated type of Gcd
: Gcf<A, B> = <A as Gcd<B>>::Output>
Alias for the associated type of IsGreater
: Gr<A, B> = <A as IsGreater<B>>::Output
Alias for the associated type of IsGreaterOrEqual
:
GrEq<A, B> = <A as IsGreaterOrEqual<B>>::Output
Alias for the associated type of IsLess
: Le<A, B> = <A as IsLess<B>>::Output
Alias for the associated type of IsLessOrEqual
: LeEq<A, B> = <A as IsLessOrEqual<B>>::Output
Alias for the associated type of Len
: Length<A> = <A as Len>::Output
Alias for the associated type of Logarithm2
: Log2<A> = <A as Logarithm2>::Output
Alias for the associated type of Max
: Maximum<A, B> = <A as Max<B>>::Output
Alias for the associated type of Min
: Minimum<A, B> = <A as Min<B>>::Output
Alias for the associated type of Rem
: Mod<A, B> = <A as Rem<B>>::Output
Alias for the associated type of Neg
: Negate<A> = <A as Neg>::Output
Alias for the associated type of IsNotEqual
: NotEq<A, B> = <A as IsNotEqual<B>>::Output
Alias for the associated type of BitOr
: Or<A, B> = <A as BitOr<B>>::Output
Alias for the associated type of
PartialDiv
: PartialQuot<A, B> = <A as PartialDiv<B>>::Output
Alias for the associated type of Mul
: Prod<A, B> = <A as Mul<B>>::Output
Alias for the associated type of Div
: Quot<A, B> = <A as Div<B>>::Output
Alias for the associated type of Shl
: Shleft<A, B> = <A as Shl<B>>::Output
Alias for the associated type of Shr
: Shright<A, B> = <A as Shr<B>>::Output
Alias for the associated type of SquareRoot
: Sqrt<A> = <A as SquareRoot>::Output
Alias to make it easy to square. Square<A> = <A as Mul<A>>::Output
Alias to make it easy to subtract 1: Sub1<A> = <A as Sub<B1>>::Output
Alias for the associated type of Add
: Sum<A, B> = <A as Add<B>>::Output
Alias for the associated type of BitXor
: Xor<A, B> = <A as BitXor<B>>::Output