package monads

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package monads
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Make(M) composes the option monad with the monad M.

Parameters

module M : Monad

Signature

include Trans.S with type 'a m := 'a T1(M).m with type 'a t := 'a T1(M).t with type 'a e := 'a T1(M).e
val lift : 'a T1(M).m -> 'a T1(M).t

lifts inner monad into the resulting monad

val run : 'a T1(M).t -> 'a T1(M).e

runs the computation

include Monad with type 'a t := 'a T1(M).t
val void : 'a T1(M).t -> unit T1(M).t

void m computes m and discrards the result.

val sequence : unit T1(M).t list -> unit T1(M).t

sequence xs computes a sequence of computations xs in the left to right order.

val forever : 'a T1(M).t -> 'b T1(M).t

forever xs creates a computationt that never returns.

module Fn : sig ... end

Various function combinators lifted into the Kleisli category.

module Pair : sig ... end

The pair interface lifted into the monad.

module Triple : sig ... end

The triple interface lifted into a monad.

module Lift : sig ... end

Lifts functions into the monad.

module Exn : sig ... end

Interacting between monads and language exceptions

module Collection : sig ... end

Lifts collection interface into the monad.

module List : Collection.S with type 'a t := 'a list

The Monad.Collection.S interface for lists

module Seq : Collection.S with type 'a t := 'a Core_kernel.Sequence.t

The Monad.Collection.S interface for sequences

include Syntax.S with type 'a t := 'a T1(M).t
val (>=>) : ('a -> 'b T1(M).t) -> ('b -> 'c T1(M).t) -> 'a -> 'c T1(M).t

f >=> g is fun x -> f x >>= g

val (!!) : 'a -> 'a T1(M).t

!!x is return x

val (!$) : ('a -> 'b) -> 'a T1(M).t -> 'b T1(M).t

!$f is Lift.unary f

val (!$$) : ('a -> 'b -> 'c) -> 'a T1(M).t -> 'b T1(M).t -> 'c T1(M).t

!$$f is Lift.binary f

val (!$$$) : ('a -> 'b -> 'c -> 'd) -> 'a T1(M).t -> 'b T1(M).t -> 'c T1(M).t -> 'd T1(M).t

!$$$f is Lift.ternary f

val (!$$$$) : ('a -> 'b -> 'c -> 'd -> 'e) -> 'a T1(M).t -> 'b T1(M).t -> 'c T1(M).t -> 'd T1(M).t -> 'e T1(M).t

!$$$$f is Lift.quaternary f

val (!$$$$$) : ('a -> 'b -> 'c -> 'd -> 'e -> 'f) -> 'a T1(M).t -> 'b T1(M).t -> 'c T1(M).t -> 'd T1(M).t -> 'e T1(M).t -> 'f T1(M).t

!$$$$$f is Lift.quinary f

include Core_kernel.Monad.S with type 'a t := 'a T1(M).t
val (>>=) : 'a T1(M).t -> ('a -> 'b T1(M).t) -> 'b T1(M).t

t >>= f returns a computation that sequences the computations represented by two monad elements. The resulting computation first does t to yield a value v, and then runs the computation returned by f v.

val (>>|) : 'a T1(M).t -> ('a -> 'b) -> 'b T1(M).t

t >>| f is t >>= (fun a -> return (f a)).

module Monad_infix : sig ... end
val bind : 'a T1(M).t -> f:('a -> 'b T1(M).t) -> 'b T1(M).t

bind t ~f = t >>= f

val return : 'a -> 'a T1(M).t

return v returns the (trivial) computation that returns v.

val map : 'a T1(M).t -> f:('a -> 'b) -> 'b T1(M).t

map t ~f is t >>| f.

val join : 'a T1(M).t T1(M).t -> 'a T1(M).t

join t is t >>= (fun t' -> t').

val ignore_m : 'a T1(M).t -> unit T1(M).t

ignore_m t is map t ~f:(fun _ -> ()). ignore_m used to be called ignore, but we decided that was a bad name, because it shadowed the widely used Caml.ignore. Some monads still do let ignore = ignore_m for historical reasons.

val all : 'a T1(M).t list -> 'a list T1(M).t
val all_unit : unit T1(M).t list -> unit T1(M).t

Like all, but ensures that every monadic value in the list produces a unit value, all of which are discarded rather than being collected into a list.

val all_ignore : unit T1(M).t list -> unit T1(M).t
  • deprecated [since 2018-02] Use [all_unit]
module Let_syntax : sig ... end

These are convenient to have in scope when programming with a monad:

module Syntax : Syntax.S with type 'a t := 'a T1(M).t

Monadic operators, see Monad.Syntax.S for more.

include Choice.S with type 'a t := 'a T1(M).t
include Choice.Basic with type 'a t := 'a T1(M).t
val pure : 'a -> 'a T1(M).t

pure x creates a computation that results in x.

val accept : 'a -> 'a T1(M).t

accept x accepts x as a result of computation. (Same as pure x.

val reject : unit -> 'a T1(M).t

reject () rejects the rest of computation sequence, and terminate the computation with the zero result (Same as zero ()

val guard : bool -> unit T1(M).t

guard cond ensures cond is true in the rest of computation. Otherwise the rest of the computation is rejected.

val on : bool -> unit T1(M).t -> unit T1(M).t

on cond x computes x only iff cond is true

val unless : bool -> unit T1(M).t -> unit T1(M).t

unless cond x computes x unless cond is true.

include Plus.S with type 'a t := 'a T1(M).t
val zero : unit -> 'a T1(M).t

zero () constructs a zero element

val plus : 'a T1(M).t -> 'a T1(M).t -> 'a T1(M).t

plus x y an associative operation.

include Fail.S with type 'a t := 'a T1(M).t and type 'a error = unit
type 'a error = unit

a type of error

val fail : _ error -> 'a T1(M).t

fail err diverges the computation, possibly providing an extra information in a value of type _ error.

val catch : 'a T1(M).t -> (_ error -> 'a T1(M).t) -> 'a T1(M).t

catch m f if m diverges with some bottom value err, the f err is a result of the whole computation, otherwise returns m.

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