| Safe Haskell | Safe |
|---|---|
| Language | Haskell2010 |
Data.Types.Injective
Description
Injective types. This module contains the Injective typeclass and instances
for the following equivalence classes:
{Strict Text, Lazy Text, String}.ByteStrings are not part of this, since there exists more than one way to turn unicode text into a ByteString (see Data.Text.Encoding and Data.Text.Lazy.Encoding).{Whole, Integer}. Be advices, though, that Peano numbers may contain unobservable infinities (i.e.infinity = S infinity) and thus, the conversion to Integer may not terminate.{Nat, Natural}. For finite values, they're extensionally equivalent, butNathas lazy infinity.
Additional injections:
- class Injective a b where
Documentation
class Injective a b where Source #
The class relation between types a and b s.t. a can be injected
into b.
The following laws must be fulfilled:
Injectivity
x /= y ==> (to x) /= (to y)
Totalitytoshould be a total function. No cheating by it undefined for parts of the set!
Minimal complete definition
Methods
to :: forall b1 a1. (b1 ~ b, a1 ~ a) => a -> b Source #
Converts a value of type a "losslessly" to one of type b.
Instances