API (preface.Preface_specs.Indexed

Type

type ('a, 'index) t

The type held by the Monad.

Functions

val bind : ('a -> ('b, 'index) t) -> ('a, 'index) t -> ('b, 'index) t

bind f m passes the result of computation m to function f.

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

Mapping over from 'a to 'b.

val join : (('a, 'index) t, 'index) t -> ('a, 'index) t

join remove one level of monadic structure, projecting its bound argument into the outer level.

val compose_left_to_right : 
  ('a -> ('b, 'index) t) ->
  ('b -> ('c, 'index) t) ->
  'a ->
  ('c, 'index) t

Composing monadic functions using Kleisli Arrow (from left to right).

val compose_right_to_left : 
  ('b -> ('c, 'index) t) ->
  ('a -> ('b, 'index) t) ->
  'a ->
  ('c, 'index) t

Composing monadic functions using Kleisli Arrow (from right to left).

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

Mapping over t from 'a to 'b.

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.

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

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

val replace : 'a -> ('b, 'index) t -> ('a, 'index) t

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

val void : ('a, 'index) t -> (unit, 'index) t

Create a new t, replacing all values in the given functor by unit.

Infix operators

module Infix : INFIX with type ('a, 'index) t := ('a, 'index) t

val (=|<) : ('a -> 'b) -> ('a, 'index) t -> ('b, 'index) t

Infix version of CORE.map.

val (>|=) : ('a, 'index) t -> ('a -> 'b) -> ('b, 'index) t

Infix flipped version of CORE.map.

val (>>=) : ('a, 'index) t -> ('a -> ('b, 'index) t) -> ('b, 'index) t

Infix flipped version of CORE.bind.

val (=<<) : ('a -> ('b, 'index) t) -> ('a, 'index) t -> ('b, 'index) t

Infix version of CORE.bind.

val (>=>) : 
  ('a -> ('b, 'index) t) ->
  ('b -> ('c, 'index) t) ->
  'a ->
  ('c, 'index) t

Infix version of CORE.compose_left_to_right.

val (<=<) : 
  ('b -> ('c, 'index) t) ->
  ('a -> ('b, 'index) t) ->
  'a ->
  ('c, 'index) t

Infix version of OPERATION.compose_right_to_left.

val (>>) : (unit, 'index) t -> ('b, 'index) t -> ('b, 'index) t

Sequentially compose two actions, discarding any value produced by the first.

val (<<) : ('a, 'index) t -> (unit, 'index) t -> ('a, 'index) t

Sequentially compose two actions, discarding any value produced by the second.

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

Infix version of CORE.map.

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

Flipped and infix version of CORE.map.

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

Infix version of OPERATION.replace.

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

Flipped and infix version of OPERATION.replace.

Syntax

module Syntax : SYNTAX with type ('a, 'index) t := ('a, 'index) t

val let* : ('a, 'index) t -> ('a -> ('b, 'index) t) -> ('b, 'index) t

Syntactic shortcuts for flipped version of CORE.bind:

let* x = e in f is equals to bind (fun x -> f) e.

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

let operator for mapping.