com.jnape.palatable.lambda.functor

Interface Cartesian<A,B,P extends Cartesian<?,?,P>>

Type Parameters:

A - the type of the left parameter

B - the type of the left parameter

P - the unification parameter

All Superinterfaces:

Contravariant<A,Profunctor<?,B,P>>, Profunctor<A,B,P>

All Known Subinterfaces:

BiMonoidFactory<A,B,C>, BiPredicate<A,B>, BiSemigroupFactory<A,B,C>, Effect<A>, Fn0<A>, Fn1<A,B>, Fn2<A,B,C>, Fn3<A,B,C,D>, Fn4<A,B,C,D,E>, Fn5<A,B,C,D,E,F>, Fn6<A,B,C,D,E,F,G>, Fn7<A,B,C,D,E,F,G,H>, Fn8<A,B,C,D,E,F,G,H,I>, Kleisli<A,B,M,MB>, Monoid<A>, MonoidFactory<A,B>, Predicate<A>, Semigroup<A>, SemigroupFactory<A,B>

All Known Implementing Classes:

Absent, AddAll, All, Alter, And, Any, AutoBracket, Between, Both, Bracket, CartesianProduct, CatMaybes, Clamp, CmpEq, CmpEqBy, Coalesce, Collapse, Collapse, Compose, Compose, Concat, Cons, Constantly, Cycle, Difference, Distinct, Downcast, Drop, DropWhile, Empty, Endo, EndoK, Eq, Filter, Find, First, Flatten, FoldLeft, FoldRight, Force, GroupBy, GT, GTBy, GTE, GTEBy, Head, Id, IfThenElse, InGroupsOf, Init, Inits, Intersection, Intersperse, Into, Into1, Into3, Into4, Into5, Into6, Into7, Into8, Iterate, Join, Last, Last, LazyRec, LeftAll, LeftAll, LeftAny, LeftAny, LiftA2, LiftA3, LiftA4, LiftA5, LiftA6, LiftA7, LT, LTBy, LTE, LTEBy, Magnetize, MagnetizeBy, Map, Matching, Max, MaxBy, Merge, Merge, MergeMaps, Min, MinBy, Not, Occurrences, Or, Over, Partition, Peek, Peek2, Pre, PrependAll, Present, PutAll, RateLimit, Re, ReaderT, ReduceLeft, ReduceRight, Repeat, Replicate, Reverse, RightAll, RightAll, RightAny, RightAny, RunAll, RunAll, ScanLeft, Sequence, Set, Size, Slide, Snoc, Sort, SortBy, SortWith, Span, Tail, Tails, Take, TakeWhile, Times, ToArray, ToCollection, ToMap, Trampoline, Trivial, Tupler2, Uncons, Under, Unfoldr, Union, Until, Upcast, View, Xor, Zip, ZipWith

public interface Cartesian<A,B,P extends Cartesian<?,?,P>>
extends Profunctor<A,B,P>

Profunctor strength in the cartesian product sense: p a b -> p (c ^ a) (c ^ b) for any type c.

See Also:

Fn1, Cocartesian

Method Summary

Modifier and Type	Method and Description
default Cartesian<A,Tuple2<A,B>,P>	carry() Pair the covariantly-positioned carrier type with the contravariantly-positioned carrier type.
<C> Cartesian<Tuple2<C,A>,Tuple2<C,B>,P>	cartesian() Pair some type C to this profunctor's carrier types.
default <Z> Cartesian<Z,B,P>	contraMap(Fn1<? super Z,? extends A> fn) Contravariantly map A <- B.
<Z,C> Cartesian<Z,C,P>	diMap(Fn1<? super Z,? extends A> lFn, Fn1<? super B,? extends C> rFn) Dually map contravariantly over the left parameter and covariantly over the right parameter.
default <Z> Cartesian<Z,B,P>	diMapL(Fn1<? super Z,? extends A> fn) Contravariantly map over the left parameter.
default <C> Cartesian<A,C,P>	diMapR(Fn1<? super B,? extends C> fn) Covariantly map over the right parameter.

Method Detail

cartesian

<C> Cartesian<Tuple2<C,A>,Tuple2<C,B>,P> cartesian()

Pair some type C to this profunctor's carrier types.

Type Parameters:

C - the paired type

Returns:

the cartesian-strengthened profunctor

carry

default Cartesian<A,Tuple2<A,B>,P> carry()

Pair the covariantly-positioned carrier type with the contravariantly-positioned carrier type. This can be thought of as "carrying" or "inspecting" the left parameter.

Returns:

the profunctor with the first parameter carried

diMap

<Z,C> Cartesian<Z,C,P> diMap(Fn1<? super Z,? extends A> lFn,
                             Fn1<? super B,? extends C> rFn)

Dually map contravariantly over the left parameter and covariantly over the right parameter. This is isomorphic to diMapL(lFn).diMapR(rFn).

Specified by:

diMap in interface Profunctor<A,B,P extends Cartesian<?,?,P>>

Type Parameters:

Z - the new left parameter type

C - the new right parameter type

Parameters:

lFn - the left parameter mapping function

rFn - the right parameter mapping function

Returns:

a profunctor over Z (the new left parameter type) and C (the new right parameter type)

diMapL

default <Z> Cartesian<Z,B,P> diMapL(Fn1<? super Z,? extends A> fn)

Contravariantly map over the left parameter.

Specified by:

diMapL in interface Profunctor<A,B,P extends Cartesian<?,?,P>>

Type Parameters:

Z - the new left parameter type

Parameters:

fn - the mapping function

Returns:

a profunctor over Z (the new left parameter type) and C (the same right parameter type)

diMapR

default <C> Cartesian<A,C,P> diMapR(Fn1<? super B,? extends C> fn)

Covariantly map over the right parameter. For all profunctors that are also functors, it should hold that diMapR(f) == fmap(f).

Specified by:

diMapR in interface Profunctor<A,B,P extends Cartesian<?,?,P>>

Type Parameters:

C - the new right parameter type

Parameters:

fn - the mapping function

Returns:

a profunctor over A (the same left parameter type) and C (the new right parameter type)

contraMap

default <Z> Cartesian<Z,B,P> contraMap(Fn1<? super Z,? extends A> fn)

Contravariantly map A <- B.

Specified by:

contraMap in interface Contravariant<A,Profunctor<?,B,P extends Cartesian<?,?,P>>>

Specified by:

contraMap in interface Profunctor<A,B,P extends Cartesian<?,?,P>>

Type Parameters:

Z - the new parameter type

Parameters:

fn - the mapping function

Returns:

the mapped Contravariant functor instance