package preface

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Library
Module
Module type
Parameter
Class
Class type

Parameters

Signature

type state = State.t

The encapsulated state.

type 'a monad

The inner monad.

type 'a t = state -> ('a * state) monad

The type held by the state monad.

val upper : 'a monad -> 'a t

promote monad into the transformation.

val eval : 'a t -> state -> 'a monad

Unwrap the state computation and extract the current value.

val exec : 'a t -> state -> state monad

Unwrap the state computation and extract the current state.

val run : 'a t -> state -> ('a * state) monad

Unwrap the state computation.

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

Lift a function into a state.

val get : state t

Returns the current state.

val set : state -> unit t

Replace the state with the given one.

val modify : (state -> state) -> unit t

Modify the state applying the given function.

val gets : (state -> 'a) -> 'a t

Apply a function to the current state and return it.

Monad

Type
Functions
val bind : ('a -> 'b t) -> 'a t -> 'b t

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

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

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

val join : 'a t t -> 'a t

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

val return : 'a -> 'a t

Create a new 'a t.

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

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

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

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

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

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

Infix operators
module Infix : Preface_specs.Monad.INFIX with type 'a t := 'a t
val (=|<) : ('a -> 'b) -> 'a t -> 'b t

Infix version of CORE.map.

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

Infix flipped version of CORE.map.

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

Infix flipped version of CORE.bind.

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

Infix version of CORE.bind.

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

Infix version of CORE.compose_left_to_right.

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

Infix version of OPERATION.compose_right_to_left.

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

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

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

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

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

Flipped and infix version of Preface_specs.Functor.CORE.map.

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

Flipped and infix version of Preface_specs.Functor.OPERATION.replace.

Syntax
module Syntax : Preface_specs.Monad.SYNTAX with type 'a t := 'a t
val let* : 'a t -> ('a -> 'b t) -> 'b t

Syntaxic shortcuts for flipped version of CORE.bind:

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

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

Syntaxic shortcuts for flipped version of CORE.map:

let+ x = e in f is equals to map (fun x -> f) e.

val run_identity : 'a t -> State.t -> 'a * State.t

Run the state through the identity.

val exec_identity : 'a t -> State.t -> State.t

Exec the state through the identity.

val eval_identity : 'a t -> State.t -> 'a

Eval the state through the identity.

Functor

module Functor : Preface_specs.FUNCTOR with type 'a t = 'a t

Applicative

module Applicative : Preface_specs.APPLICATIVE with type 'a t = 'a t