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open! Base
open! Import
module Applicative = struct
type 'w t =
{ return : 'a. 'a -> ('a, 'w) Hk.t1
; map : 'a 'b. ('a, 'w) Hk.t1 -> f:('a -> 'b) -> ('b, 'w) Hk.t1
; apply : 'a 'b. ('a -> 'b, 'w) Hk.t1 -> ('a, 'w) Hk.t1 -> ('b, 'w) Hk.t1
}
end
module T = struct
type ('bt, 'a, 'b) t =
{ f : 'w. 'w Applicative.t -> access:('a -> ('b, 'w) Hk.t1) -> ('bt, 'w) Hk.t1 }
[@@unboxed]
let access a = { f = (fun _ ~access -> access a) }
include Base.Applicative.Make3 (struct
type nonrec ('bt, 'a, 'b) t = ('bt, 'a, 'b) t
let return a = { f = (fun applicative ~access:_ -> applicative.return a) }
let map t ~f =
{ f = (fun applicative ~access -> applicative.map (t.f applicative ~access) ~f) }
;;
let map = `Custom map
let apply t1 t2 =
{ f =
(fun applicative ~access ->
applicative.apply (t1.f applicative ~access) (t2.f applicative ~access))
}
;;
end)
end
include T
module Open_on_rhs_intf = struct
module type S = sig
val access : 'a -> ('b, 'a, 'b) t
end
end
include
Base.Applicative.Make_let_syntax3 (T) (Open_on_rhs_intf)
(struct
let access = access
end)
module Accessed = Monad.Make_indexed (struct
type nonrec ('a, 'bt, 'b) t = ('bt, 'a, 'b) t
let return = access
let map t ~f =
{ f = (fun applicative ~access -> t.f applicative ~access:(fun a -> access (f a))) }
;;
let bind t ~f =
{ f =
(fun applicative ~access ->
t.f applicative ~access:(fun a -> (f a).f applicative ~access))
}
;;
let map = `Custom map
end)
module Of_applicative3 (A : sig
type ('a, 'd, 'e) t
val return : 'a -> ('a, _, _) t
val map : ('a, 'd, 'e) t -> f:('a -> 'b) -> ('b, 'd, 'e) t
val apply : ('a -> 'b, 'd, 'e) t -> ('a, 'd, 'e) t -> ('b, 'd, 'e) t
end) =
struct
module H = Hk.Make3 (A)
let applicative =
{ Applicative.return = (fun a -> H.inject (A.return a))
; map = (fun a ~f -> H.inject (A.map (H.project a) ~f))
; apply = (fun a b -> H.inject (A.apply (H.project a) (H.project b)))
}
;;
let of_many t ~access =
H.project (t.f applicative ~access:(fun a -> H.inject (access a)))
;;
end
module Of_applicative2 (A : sig
type ('a, 'e) t
val return : 'a -> ('a, _) t
val map : ('a, 'e) t -> f:('a -> 'b) -> ('b, 'e) t
val apply : ('a -> 'b, 'e) t -> ('a, 'e) t -> ('b, 'e) t
end) =
Of_applicative3 (struct
type ('a, _, 'e) t = ('a, 'e) A.t
include (A : module type of A with type ('a, 'e) t := ('a, 'e) A.t)
end)
module Of_applicative (A : sig
type 'a t
val return : 'a -> 'a t
val map : 'a t -> f:('a -> 'b) -> 'b t
val apply : ('a -> 'b) t -> 'a t -> 'b t
end) =
Of_applicative2 (struct
type ('a, _) t = 'a A.t
include (A : module type of A with type 'a t := 'a A.t)
end)
include Nonempty.Of_applicative_without_return3 (T)
let of_nonempty nonempty = of_nonempty nonempty ~access