Applicative (p.preface.0.1.0.doc.preface.stdlib.Preface

Type

type 'a t = 'a t

The type held by the Applicative.

val apply : ('a -> 'b) t -> 'a t -> 'b t

Applicative functor of ('a -> 'b) t over 'a t to 'b t.

val map : ('a -> 'b) -> 'a t -> 'b t

Mapping over from 'a to 'b over 'a t to 'b t.

val product : 'a t -> 'b t -> ('a * 'b) t

Product functor mapping from 'a t and 'b t to ('a * 'b) t.

val pure : 'a -> 'a t

Lift a value from 'a into a new 'a t.

val lift2 : ('a -> 'b -> 'c) -> 'a t -> 'b t -> 'c t

Mapping over from 'a and 'b to 'c over 'a t and 'b t to 'c t.

val lift : ('a -> 'b) -> 'a t -> 'b t

Mapping over from 'a to 'b over 'a t to 'b t.

val lift3 : ('a -> 'b -> 'c -> 'd) -> 'a t -> 'b t -> 'c t -> 'd t

Mapping over from 'a and 'b and 'c to 'd over 'a t and 'b t and 'c t to 'd t.

val replace : 'a -> 'b t -> 'a t

Create a new 'a t, replacing all values in the 'b t by given a value of 'a.

val void : 'a t -> unit t

Create a new unit t, replacing all values in the 'a t by unit.

module Infix : Preface_specs.Applicative.INFIX with type 'a t := 'a t

val (<*>) : ('a -> 'b) t -> 'a t -> 'b t

Applicative functor of ('a -> 'b) t over 'a t to 'b t.

val (<**>) : 'a t -> ('a -> 'b) t -> 'b t

Flipped Applicative functor of ('a -> 'b) t over 'a t to 'b t.

val (*>) : unit t -> 'a t -> 'a t

Discard the value of the first argument.

val (<*) : 'a t -> unit t -> 'a t

Discard the value of the second argument.

val (<$>) : ('a -> 'b) -> 'a t -> 'b t

val (<&>) : 'a t -> ('a -> 'b) -> 'b t

val (<$) : 'a -> 'b t -> 'a t

val ($>) : 'a t -> 'b -> 'b t

module Syntax : Preface_specs.Applicative.SYNTAX with type 'a t := 'a t

val (let+) : 'a t -> ('a -> 'b) -> 'b t

Flipped mapping over from 'a to 'b over 'a t to 'b t.

val (and+) : 'a t -> 'b t -> ('a * 'b) t

Product functor mapping from 'a t and 'b t to ('a * 'b) t.

module Traversable
  (A : Preface_specs.Applicative.API) : 
  Preface_specs.Traversable.API with type 'a iter = 'a t and type 'a t = 'a A.t