Data.Tuple
- Package
- purescript-tuples
- Repository
- purescript/purescript-tuples
A data type and functions for working with ordered pairs.
#Tuple Source
data Tuple a b
A simple product type for wrapping a pair of component values.
Constructors
Tuple a b
Instances
(Show a, Show b) => Show (Tuple a b)
(Eq a, Eq b) => Eq (Tuple a b)
Allows
Tuple
s to be checked for equality with==
and/=
whenever there areEq
instances for both component types.(Eq a) => Eq1 (Tuple a)
(Ord a, Ord b) => Ord (Tuple a b)
Allows
Tuple
s to be compared withcompare
,>
,>=
,<
and<=
whenever there areOrd
instances for both component types. To obtain the result, thefst
s arecompare
d, and if they areEQ
ual, thesnd
s arecompare
d.(Ord a) => Ord1 (Tuple a)
(Bounded a, Bounded b) => Bounded (Tuple a b)
Semigroupoid Tuple
(Semigroup a, Semigroup b) => Semigroup (Tuple a b)
The
Semigroup
instance enables use of the associative operator<>
onTuple
s whenever there areSemigroup
instances for the component types. The<>
operator is applied pairwise, so:(Tuple a1 b1) <> (Tuple a2 b2) = Tuple (a1 <> a2) (b1 <> b2)
(Monoid a, Monoid b) => Monoid (Tuple a b)
(Semiring a, Semiring b) => Semiring (Tuple a b)
(Ring a, Ring b) => Ring (Tuple a b)
(CommutativeRing a, CommutativeRing b) => CommutativeRing (Tuple a b)
(HeytingAlgebra a, HeytingAlgebra b) => HeytingAlgebra (Tuple a b)
(BooleanAlgebra a, BooleanAlgebra b) => BooleanAlgebra (Tuple a b)
Functor (Tuple a)
The
Functor
instance allows functions to transform the contents of aTuple
with the<$>
operator, applying the function to the second component, so:f <$> (Tuple x y) = Tuple x (f y)
Invariant (Tuple a)
Bifunctor Tuple
(Semigroup a) => Apply (Tuple a)
The
Functor
instance allows functions to transform the contents of aTuple
with the<*>
operator whenever there is aSemigroup
instance for thefst
component, so:(Tuple a1 f) <*> (Tuple a2 x) == Tuple (a1 <> a2) (f x)
Biapply Tuple
(Monoid a) => Applicative (Tuple a)
Biapplicative Tuple
(Semigroup a) => Bind (Tuple a)
(Monoid a) => Monad (Tuple a)
Extend (Tuple a)
Comonad (Tuple a)
(Lazy a, Lazy b) => Lazy (Tuple a b)
Foldable (Tuple a)
Bifoldable Tuple
Traversable (Tuple a)
Bitraversable Tuple
- Modules
- Data.
Tuple - Data.
Tuple. Nested
Allows
Tuple
s to be rendered as a string withshow
whenever there areShow
instances for both component types.