X-Git-Url: http://matita.cs.unibo.it/gitweb/?p=helm.git;a=blobdiff_plain;f=components%2Fcic%2FlibraryObjects.ml;fp=components%2Fcic%2FlibraryObjects.ml;h=e402f4db214433ce174396929744ba8a4042d2cf;hp=0000000000000000000000000000000000000000;hb=f61af501fb4608cc4fb062a0864c774e677f0d76;hpb=58ae1809c352e71e7b5530dc41e2bfc834e1aef1 diff --git a/components/cic/libraryObjects.ml b/components/cic/libraryObjects.ml new file mode 100644 index 000000000..e402f4db2 --- /dev/null +++ b/components/cic/libraryObjects.ml @@ -0,0 +1,243 @@ +(* Copyright (C) 2005, HELM Team. + * + * This file is part of HELM, an Hypertextual, Electronic + * Library of Mathematics, developed at the Computer Science + * Department, University of Bologna, Italy. + * + * HELM is free software; you can redistribute it and/or + * modify it under the terms of the GNU General Public License + * as published by the Free Software Foundation; either version 2 + * of the License, or (at your option) any later version. + * + * HELM is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the + * GNU General Public License for more details. + * + * You should have received a copy of the GNU General Public License + * along with HELM; if not, write to the Free Software + * Foundation, Inc., 59 Temple Place - Suite 330, Boston, + * MA 02111-1307, USA. + * + * For details, see the HELM World-Wide-Web page, + * http://helm.cs.unibo.it/ + *) + +(* $Id$ *) + +(**** TABLES ****) + +let default_eq_URIs = [] +let default_true_URIs = [] +let default_false_URIs = [] +let default_absurd_URIs = [] + +(* eq, sym_eq, trans_eq, eq_ind, eq_ind_R *) +let eq_URIs_ref = ref default_eq_URIs;; + +let true_URIs_ref = ref default_true_URIs +let false_URIs_ref = ref default_false_URIs +let absurd_URIs_ref = ref default_absurd_URIs + + +(**** SET_DEFAULT ****) + +exception NotRecognized of string;; + +(* insert an element in front of the list, removing from the list all the + previous elements with the same key associated *) +let insert_unique e extract l = + let uri = extract e in + let l' = + List.filter (fun x -> let uri' = extract x in not (UriManager.eq uri uri')) l + in + e :: l' + +let set_default what l = + match what,l with + "equality",[eq_URI;sym_eq_URI;trans_eq_URI;eq_ind_URI; + eq_ind_r_URI;eq_rec_URI;eq_rec_r_URI;eq_rect_URI; + eq_rect_r_URI;eq_f_URI;eq_f_sym_URI] -> + eq_URIs_ref := + insert_unique + (eq_URI,sym_eq_URI,trans_eq_URI,eq_ind_URI, + eq_ind_r_URI,eq_rec_URI,eq_rec_r_URI,eq_rect_URI, + eq_rect_r_URI,eq_f_URI,eq_f_sym_URI) + (fun x,_,_,_,_,_,_,_,_,_,_ -> x) !eq_URIs_ref + | "true",[true_URI] -> + true_URIs_ref := insert_unique true_URI (fun x -> x) !true_URIs_ref + | "false",[false_URI] -> + false_URIs_ref := insert_unique false_URI (fun x -> x) !false_URIs_ref + | "absurd",[absurd_URI] -> + absurd_URIs_ref := insert_unique absurd_URI (fun x -> x) !absurd_URIs_ref + | _,l -> + raise + (NotRecognized (what^" with "^string_of_int(List.length l)^" params")) +;; + +let reset_defaults () = + eq_URIs_ref := default_eq_URIs; + true_URIs_ref := default_true_URIs; + false_URIs_ref := default_false_URIs; + absurd_URIs_ref := default_absurd_URIs +;; + +let stack = ref [];; + +let push () = + stack := (!eq_URIs_ref, !true_URIs_ref, !false_URIs_ref, !absurd_URIs_ref)::!stack; + reset_defaults () +;; + +let pop () = + match !stack with + | [] -> raise (Failure "Unable to POP in libraryObjects.ml") + | (eq,t,f,a)::tl -> + stack := tl; + eq_URIs_ref := eq; + true_URIs_ref := t; + false_URIs_ref := f; + absurd_URIs_ref := a +;; + +(**** LOOKUP FUNCTIONS ****) +let eq_URI () = + try let eq,_,_,_,_,_,_,_,_,_,_ = List.hd !eq_URIs_ref in Some eq + with Failure "hd" -> None + +let is_eq_URI uri = + List.exists (fun (eq,_,_,_,_,_,_,_,_,_,_) -> UriManager.eq eq uri) !eq_URIs_ref + +let is_eq_refl_URI uri = + let urieq = UriManager.strip_xpointer uri in + is_eq_URI urieq && + not (UriManager.eq urieq uri) +;; + +let is_eq_ind_URI uri = + List.exists (fun (_,_,_,eq_ind,_,_,_,_,_,_,_) -> UriManager.eq eq_ind uri) !eq_URIs_ref +let is_eq_ind_r_URI uri = + List.exists (fun (_,_,_,_,eq_ind_r,_,_,_,_,_,_) -> UriManager.eq eq_ind_r uri) !eq_URIs_ref +let is_eq_rec_URI uri = + List.exists (fun (_,_,_,_,_,eq_rec,_,_,_,_,_) -> UriManager.eq eq_rec uri) !eq_URIs_ref +let is_eq_rec_r_URI uri = + List.exists (fun (_,_,_,_,_,_,eq_rec_r,_,_,_,_) -> UriManager.eq eq_rec_r uri) !eq_URIs_ref +let is_eq_rect_URI uri = + List.exists (fun (_,_,_,_,_,_,_,eq_rect,_,_,_) -> UriManager.eq eq_rect uri) !eq_URIs_ref +let is_eq_rect_r_URI uri = + List.exists (fun (_,_,_,_,_,_,_,_,eq_rect_r,_,_) -> UriManager.eq eq_rect_r uri) !eq_URIs_ref +let is_trans_eq_URI uri = + List.exists (fun (_,_,trans_eq,_,_,_,_,_,_,_,_) -> UriManager.eq trans_eq uri) !eq_URIs_ref +let is_sym_eq_URI uri = + List.exists (fun (_,sym_eq,_,_,_,_,_,_,_,_,_) -> UriManager.eq sym_eq uri) !eq_URIs_ref +let is_eq_f_URI uri = + List.exists (fun (_,_,_,_,_,_,_,_,_,eq_f,_) -> UriManager.eq eq_f uri) !eq_URIs_ref +let is_eq_f_sym_URI uri = + List.exists (fun (_,_,_,_,_,_,_,_,_,_,eq_f1) -> UriManager.eq eq_f1 uri) !eq_URIs_ref + +let in_eq_URIs uri = + is_eq_URI uri || is_eq_refl_URI uri || is_eq_ind_URI uri || + is_eq_ind_r_URI uri || is_eq_rec_URI uri || is_eq_rec_r_URI uri || + is_eq_rect_URI uri || is_eq_rect_r_URI uri || + is_trans_eq_URI uri || is_sym_eq_URI uri || is_eq_f_URI uri || + is_eq_f_sym_URI uri + + + +let eq_refl_URI ~eq:uri = + let uri = UriManager.strip_xpointer uri in + UriManager.uri_of_string (UriManager.string_of_uri uri ^ "#xpointer(1/1/1)") + +let sym_eq_URI ~eq:uri = + try + let _,x,_,_,_,_,_,_,_,_,_ = List.find (fun eq,_,_,_,_,_,_,_,_,_,_ -> UriManager.eq eq uri) !eq_URIs_ref in x + with Not_found -> raise (NotRecognized (UriManager.string_of_uri uri)) + +let trans_eq_URI ~eq:uri = + try + let _,_,x,_,_,_,_,_,_,_,_ = List.find (fun eq,_,_,_,_,_,_,_,_,_,_ -> UriManager.eq eq uri) !eq_URIs_ref in x + with Not_found -> raise (NotRecognized (UriManager.string_of_uri uri)) + +let eq_ind_URI ~eq:uri = + try + let _,_,_,x,_,_,_,_,_,_,_ = List.find (fun eq,_,_,_,_,_,_,_,_,_,_ -> UriManager.eq eq uri) !eq_URIs_ref in x + with Not_found -> raise (NotRecognized (UriManager.string_of_uri uri)) + +let eq_ind_r_URI ~eq:uri = + try + let _,_,_,_,x,_,_,_,_,_,_ = List.find (fun eq,_,_,_,_,_,_,_,_,_,_ -> UriManager.eq eq uri) !eq_URIs_ref in x + with Not_found -> raise (NotRecognized (UriManager.string_of_uri uri)) + +let eq_rec_URI ~eq:uri = + try + let _,_,_,_,_,x,_,_,_,_,_ = List.find (fun eq,_,_,_,_,_,_,_,_,_,_ -> UriManager.eq eq uri) !eq_URIs_ref in x + with Not_found -> raise (NotRecognized (UriManager.string_of_uri uri)) + +let eq_rec_r_URI ~eq:uri = + try + let _,_,_,_,_,_,x,_,_,_,_ = List.find (fun eq,_,_,_,_,_,_,_,_,_,_ -> UriManager.eq eq uri) !eq_URIs_ref in x + with Not_found -> raise (NotRecognized (UriManager.string_of_uri uri)) + +let eq_rect_URI ~eq:uri = + try + let _,_,_,_,_,_,_,x,_,_,_ = List.find (fun eq,_,_,_,_,_,_,_,_,_,_ -> UriManager.eq eq uri) !eq_URIs_ref in x + with Not_found -> raise (NotRecognized (UriManager.string_of_uri uri)) + +let eq_rect_r_URI ~eq:uri = + try + let _,_,_,_,_,_,_,_,x,_,_ = List.find (fun eq,_,_,_,_,_,_,_,_,_,_ -> UriManager.eq eq uri) !eq_URIs_ref in x + with Not_found -> raise (NotRecognized (UriManager.string_of_uri uri)) + +let eq_f_URI ~eq:uri = + try + let _,_,_,_,_,_,_,_,_,x,_ = List.find (fun eq,_,_,_,_,_,_,_,_,_,_ -> UriManager.eq eq uri) !eq_URIs_ref in x + with Not_found -> raise (NotRecognized (UriManager.string_of_uri uri)) + +let eq_f_sym_URI ~eq:uri = + try + let _,_,_,_,_,_,_,_,_,_,x = List.find (fun eq,_,_,_,_,_,_,_,_,_,_ -> UriManager.eq eq uri) !eq_URIs_ref in x + with Not_found -> raise (NotRecognized (UriManager.string_of_uri uri)) + + +let eq_URI_of_eq_f_URI eq_f_URI = + try + let x,_,_,_,_,_,_,_,_,_,_ = + List.find (fun _,_,_,_,_,_,_,_,_,u,_ -> UriManager.eq eq_f_URI u) !eq_URIs_ref + in x + with Not_found -> raise (NotRecognized (UriManager.string_of_uri eq_f_URI)) + +let true_URI () = + try Some (List.hd !true_URIs_ref) with Failure "hd" -> None +let false_URI () = + try Some (List.hd !false_URIs_ref) with Failure "hd" -> None +let absurd_URI () = + try Some (List.hd !absurd_URIs_ref) with Failure "hd" -> None + +let nat_URI = UriManager.uri_of_string "cic:/matita/nat/nat/nat.ind" + +let zero = Cic.MutConstruct (nat_URI,0,1,[]) +let succ = Cic.MutConstruct (nat_URI,0,2,[]) + +let is_zero = function + | Cic.AMutConstruct (_, uri, 0, 1, _) when UriManager.eq uri nat_URI -> true + | _ -> false + +let is_succ = function + | Cic.AMutConstruct (_, uri, 0, 2, _) when UriManager.eq uri nat_URI -> true + | _ -> false + +let build_nat n = + if n < 0 then assert false; + let rec aux = function + | 0 -> zero + | n -> Cic.Appl [ succ; (aux (n - 1)) ] + in + aux n + +let destroy_nat annterm = + let rec aux acc = function + | Cic.AAppl (_, [he ; tl]) when is_succ he -> aux (acc + 1) tl + | t when is_zero t -> Some acc + | _ -> None in + aux 0 annterm +