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(************************************************************************) (* * The Coq Proof Assistant / The Coq Development Team *) (* v * INRIA, CNRS and contributors - Copyright 1999-2019 *) (* <O___,, * (see CREDITS file for the list of authors) *) (* \VV/ **************************************************************) (* // * This file is distributed under the terms of the *) (* * GNU Lesser General Public License Version 2.1 *) (* * (see LICENSE file for the text of the license) *) (************************************************************************) type 'a pervasives_ref = 'a ref let pervasives_ref = ref let pervasives_compare = compare let (!) = (!) let (+) = (+) let (-) = (-) (* Mapping under pairs *) let on_fst f (a,b) = (f a,b) let on_snd f (a,b) = (a,f b) let map_pair f (a,b) = (f a,f b) (* Mapping under triplets *) let on_pi1 f (a,b,c) = (f a,b,c) let on_pi2 f (a,b,c) = (a,f b,c) let on_pi3 f (a,b,c) = (a,b,f c) (* Projections from triplets *) let pi1 (a,_,_) = a let pi2 (_,a,_) = a let pi3 (_,_,a) = a (* Characters *) let is_letter c = (c >= 'a' && c <= 'z') || (c >= 'A' && c <= 'Z') let is_digit c = (c >= '0' && c <= '9') let is_ident_tail c = is_letter c || is_digit c || c = '\'' || c = '_' let is_blank = function | ' ' | '\r' | '\t' | '\n' -> true | _ -> false module Empty = struct type t = { abort : 'a. 'a } let abort (x : t) = x.abort end (* Strings *) module String : CString.ExtS = CString let subst_command_placeholder s t = let buff = Buffer.create (String.length s + String.length t) in let i = ref 0 in while (!i < String.length s) do if s.[!i] = '%' && !i+1 < String.length s && s.[!i+1] = 's' then (Buffer.add_string buff t;incr i) else Buffer.add_char buff s.[!i]; incr i done; Buffer.contents buff (* Lists *) module List : CList.ExtS = CList let (@) = CList.append (* Arrays *) module Array : CArray.ExtS = CArray (* Sets *) module Set = CSet (* Maps *) module Map = CMap (* Stacks *) module Stack = CStack (* Matrices *) let matrix_transpose mat = List.fold_right (List.map2 (fun p c -> p::c)) mat (if List.is_empty mat then [] else List.map (fun _ -> []) (List.hd mat)) (* Functions *) let identity x = x (** Left-to-right function composition: [f1 %> f2] is [fun x -> f2 (f1 x)]. [f1 %> f2 %> f3] is [fun x -> f3 (f2 (f1 x))]. [f1 %> f2 %> f3 %> f4] is [fun x -> f4 (f3 (f2 (f1 x)))] etc. *) let (%>) f g x = g (f x) let const x _ = x let iterate = let rec iterate_f f n x = if n <= 0 then x else iterate_f f (pred n) (f x) in iterate_f let repeat n f x = let rec loop i = if i <> 0 then (f x; loop (i - 1)) in loop n let app_opt f x = match f with | Some f -> f x | None -> x (* Stream *) let stream_nth n st = try List.nth (Stream.npeek (n+1) st) n with Failure _ -> raise Stream.Failure let stream_njunk n st = repeat n Stream.junk st (* Delayed computations *) type 'a delayed = unit -> 'a let delayed_force f = f () (* Misc *) type ('a, 'b) union = ('a, 'b) CSig.union = Inl of 'a | Inr of 'b type 'a until = 'a CSig.until = Stop of 'a | Cont of 'a type ('a, 'b) eq = ('a, 'b) CSig.eq = Refl : ('a, 'a) eq let sym : type a b. (a, b) eq -> (b, a) eq = fun Refl -> Refl module Union = struct let map f g = function | Inl a -> Inl (f a) | Inr b -> Inr (g b) (** Lifting equality onto union types. *) let equal f g x y = match x, y with | Inl x, Inl y -> f x y | Inr x, Inr y -> g x y | _, _ -> false let fold_left f g a = function | Inl y -> f a y | Inr y -> g a y end let map_union = Union.map type iexn = Exninfo.iexn let iraise = Exninfo.iraise let open_utf8_file_in fname = let is_bom s = Int.equal (Char.code (Bytes.get s 0)) 0xEF && Int.equal (Char.code (Bytes.get s 1)) 0xBB && Int.equal (Char.code (Bytes.get s 2)) 0xBF in let in_chan = open_in fname in let s = Bytes.make 3 ' ' in if input in_chan s 0 3 < 3 || not (is_bom s) then seek_in in_chan 0; in_chan (** A trick which can typically be used to store on the fly the computation of values in the "when" clause of a "match" then retrieve the evaluated result in the r.h.s of the clause *) let set_temporary_memory () = let a = ref None in (fun x -> assert (!a = None); a := Some x; x), (fun () -> match !a with Some x -> x | None -> assert false)