Module type Indexed_selective.CORE

Basis operation.

type ('a, 'index) t

The type held by the Indexed Selective.

val select : (('a, 'b) Stdlib.Either.t, 'index) t -> ('a -> 'b, 'index) t -> ('b, 'index) t

select e f apply f if e is Left. It allow to skip effect using Right.

val branch : (('a, 'b) Stdlib.Either.t, 'index) t -> ('a -> 'c, 'index) t -> ('b -> 'c, 'index) t -> ('c, 'index) t

branch is like select. It chooses between two effects.

include Indexed_applicative.WITH_PURE with type ('a, 'index) t := ('a, 'index) t
include Indexed_apply.WITH_APPLY with type ('a, 'index) t := ('a, 'index) t
val apply : ('a -> 'b, 'index) t -> ('a, 'index) t -> ('b, 'index) t

May apply a function wrapped into an t to a value also wrapped into an t.

include Indexed_applicative.WITH_PURE with type ('a, 'index) t := ('a, 'index) t
include Indexed_apply.WITH_MAP_AND_PRODUCT with type ('a, 'index) t := ('a, 'index) t
include Indexed_functor.WITH_MAP with type ('a, 'index) t := ('a, 'index) t
val map : ('a -> 'b) -> ('a, 'index) t -> ('b, 'index) t

Mapping over t from 'a to 'b.

include Indexed_apply.WITH_PRODUCT with type ('a, 'index) t := ('a, 'index) t
val product : ('a, 'index) t -> ('b, 'index) t -> ('a * 'b, 'index) t

Monoidal product between two t.

include Indexed_applicative.WITH_PURE with type ('a, 'index) t := ('a, 'index) t
val pure : 'a -> ('a, 'index) t

Lift a value from 'a into a new t.

include Indexed_apply.WITH_LIFT2 with type ('a, 'index) t := ('a, 'index) t
val lift2 : ('a -> 'b -> 'c) -> ('a, 'index) t -> ('b, 'index) t -> ('c, 'index) t

Lift a binary function that acts on arbitrary values into a function that acts t values.