Source file `monad.ml`

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(*
 * Copyright (c) 2019-2020 Craig Ferguson <me@craigfe.io>
 *
 * Permission to use, copy, modify, and distribute this software for any
 * purpose with or without fee is hereby granted, provided that the above
 * copyright notice and this permission notice appear in all copies.
 *
 * THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES
 * WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF
 * MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR
 * ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES
 * WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN
 * ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF
 * OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE.
 *)

include Monad_intf

module Reader = struct
  type ('a, 'e) t = Reader of ('e -> 'a)

  let run (Reader r) = r
  let map f m = Reader (fun env -> f (run m env))
  let bind f m = Reader (fun env -> run (f (run m env)) env)
  let return x = Reader (fun _ -> x)

  let sequence (type a e) ms =
    List.fold_right
      (fun (aM : (a, e) t) (bM : (a list, e) t) ->
        bind (fun a -> map (fun b -> a :: b) bM) aM)
      ms (return [])

  let asks f = Reader (fun env -> f env)
  let ask = Reader (fun env -> env)
  let local f m = Reader (fun env -> run m (f env))

  module Syntax = struct
    let ( let+ ) x f = map f x
    let ( let* ) x f = bind f x
  end
end