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[helm.git] / helm / ocaml / cic / discrimination_tree.ml
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+(* 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://cs.unibo.it/helm/.
+ *)
+
+(* $Id$ *)
+
+module DiscriminationTreeIndexing =  
+  functor (A:Set.S) -> 
+    struct
+
+      type path_string_elem = Cic.term;;
+      type path_string = path_string_elem list;;
+
+
+      (* needed by the retrieve_* functions, to know the arities of the "functions" *)
+      
+      let arities = Hashtbl.create 11;;
+
+
+      let rec path_string_of_term = function
+       | Cic.Meta _ -> [Cic.Implicit None]
+       | Cic.Appl ((hd::tl) as l) ->
+           if not (Hashtbl.mem arities hd) then
+              Hashtbl.add arities hd (List.length tl);
+           List.concat (List.map path_string_of_term l)
+       | term -> [term]
+      ;;
+
+
+      module OrderedPathStringElement = struct
+       type t = path_string_elem
+
+       let compare = Pervasives.compare
+      end
+
+      module PSMap = Map.Make(OrderedPathStringElement);;
+
+      type key = PSMap.key
+
+      module DiscriminationTree = Trie.Make(PSMap);;
+
+      type t = A.t DiscriminationTree.t
+      let empty = DiscriminationTree.empty
+
+(*
+      module OrderedPosEquality = struct
+       type t = Utils.pos * Inference.equality
+       let compare = Pervasives.compare
+      end
+
+      module PosEqSet = Set.Make(OrderedPosEquality);;
+
+      let string_of_discrimination_tree tree =
+       let rec to_string level = function
+         | DiscriminationTree.Node (value, map) ->
+              let s =
+               match value with
+                 | Some v ->
+                     (String.make (2 * level) ' ') ^
+                       "{" ^ (String.concat "; "
+                                (List.map
+                                   (fun (p, e) ->
+                                      "(" ^ (Utils.string_of_pos p) ^ ", " ^ 
+                                        (Inference.string_of_equality e) ^ ")")
+                                   (PosEqSet.elements v))) ^ "}"
+                 | None -> "" 
+              in
+              let rest =
+               String.concat "\n"
+                 (PSMap.fold
+                    (fun k v s ->
+                       let ks = CicPp.ppterm k in
+                       let rs = to_string (level+1) v in
+                         ((String.make (2 * level) ' ') ^ ks ^ "\n" ^ rs)::s)
+                    map [])
+              in
+               s ^ rest
+       in
+         to_string 0 tree
+      ;;
+*)
+
+      let index tree term info =
+       let ps = path_string_of_term term in
+       let ps_set =
+         try DiscriminationTree.find ps tree 
+         with Not_found -> A.empty in
+       let tree =
+         DiscriminationTree.add ps (A.add info ps_set) tree in
+       tree
+
+(*
+      let index tree equality =
+       let _, _, (_, l, r, ordering), _, _ = equality in
+       let psl = path_string_of_term l
+       and psr = path_string_of_term r in
+       let index pos tree ps =
+         let ps_set =
+           try DiscriminationTree.find ps tree with Not_found -> PosEqSet.empty in
+         let tree =
+           DiscriminationTree.add ps (PosEqSet.add (pos, equality) ps_set) tree in
+           tree
+       in
+         match ordering with
+           | Utils.Gt -> index Utils.Left tree psl
+           | Utils.Lt -> index Utils.Right tree psr
+           | _ ->
+               let tree = index Utils.Left tree psl in
+                 index Utils.Right tree psr
+      ;;
+*)
+
+      let remove_index tree term info =
+       let ps = path_string_of_term term in
+       try
+         let ps_set =
+           A.remove info (DiscriminationTree.find ps tree) in
+            if A.is_empty ps_set then
+             DiscriminationTree.remove ps tree
+           else
+              DiscriminationTree.add ps ps_set tree
+       with Not_found ->
+         tree
+
+(*
+let remove_index tree equality =
+  let _, _, (_, l, r, ordering), _, _ = equality in
+  let psl = path_string_of_term l
+  and psr = path_string_of_term r in
+  let remove_index pos tree ps =
+    try
+      let ps_set =
+        PosEqSet.remove (pos, equality) (DiscriminationTree.find ps tree) in
+      if PosEqSet.is_empty ps_set then
+        DiscriminationTree.remove ps tree
+      else
+        DiscriminationTree.add ps ps_set tree
+    with Not_found ->
+      tree
+  in
+  match ordering with
+  | Utils.Gt -> remove_index Utils.Left tree psl
+  | Utils.Lt -> remove_index Utils.Right tree psr
+  | _ ->
+      let tree = remove_index Utils.Left tree psl in
+      remove_index Utils.Right tree psr
+;;
+*)
+
+
+      let in_index tree term test =
+       let ps = path_string_of_term term in
+       try
+         let ps_set = DiscriminationTree.find ps tree in
+         A.exists test ps_set
+       with Not_found ->
+         false
+
+(*
+      let in_index tree equality =
+       let _, _, (_, l, r, ordering), _, _ = equality in
+       let psl = path_string_of_term l
+       and psr = path_string_of_term r in
+       let meta_convertibility = Inference.meta_convertibility_eq equality in
+       let ok ps =
+         try
+           let set = DiscriminationTree.find ps tree in
+             PosEqSet.exists (fun (p, e) -> meta_convertibility e) set
+         with Not_found ->
+           false
+       in
+         (ok psl) || (ok psr)
+;;
+*)
+
+
+      let head_of_term = function
+       | Cic.Appl (hd::tl) -> hd
+       | term -> term
+      ;;
+
+
+      let rec subterm_at_pos pos term =
+       match pos with
+         | [] -> term
+         | index::pos ->
+             match term with
+               | Cic.Appl l ->
+                   (try subterm_at_pos pos (List.nth l index)
+                    with Failure _ -> raise Not_found)
+               | _ -> raise Not_found
+      ;;
+
+
+      let rec after_t pos term =
+       let pos' =
+         match pos with
+           | [] -> raise Not_found
+           | pos -> List.fold_right (fun i r -> if r = [] then [i+1] else i::r) pos []
+       in
+         try
+           let t = subterm_at_pos pos' term in pos'
+         with Not_found ->
+           let pos, _ =
+             List.fold_right
+               (fun i (r, b) -> if b then (i::r, true) else (r, true)) pos ([], false)
+           in
+             after_t pos term
+      ;;
+
+
+      let next_t pos term =
+       let t = subterm_at_pos pos term in
+         try
+           let _ = subterm_at_pos [1] t in
+             pos @ [1]
+         with Not_found ->
+           match pos with
+             | [] -> [1]
+             | pos -> after_t pos term
+      ;;     
+
+
+      let retrieve_generalizations tree term =
+       let rec retrieve tree term pos =
+         match tree with
+           | DiscriminationTree.Node (Some s, _) when pos = [] -> s
+           | DiscriminationTree.Node (_, map) ->
+               let res =
+                 try
+                   let hd_term = head_of_term (subterm_at_pos pos term) in
+                   let n = PSMap.find hd_term map in
+                     match n with
+                       | DiscriminationTree.Node (Some s, _) -> s
+                       | DiscriminationTree.Node (None, _) ->
+                           let newpos = try next_t pos term with Not_found -> [] in
+                             retrieve n term newpos
+                 with Not_found ->
+                   A.empty
+               in
+                 try
+                   let n = PSMap.find (Cic.Implicit None) map in
+                   let newpos = try after_t pos term with Not_found -> [-1] in
+                     if newpos = [-1] then
+                       match n with
+                         | DiscriminationTree.Node (Some s, _) -> A.union s res
+                         | _ -> res
+                     else
+                       A.union res (retrieve n term newpos)
+                 with Not_found ->
+                   res
+       in
+         retrieve tree term []
+      ;;
+
+
+      let jump_list = function
+       | DiscriminationTree.Node (value, map) ->
+           let rec get n tree =
+              match tree with
+               | DiscriminationTree.Node (v, m) ->
+                   if n = 0 then
+                     [tree]
+                   else
+                     PSMap.fold
+                       (fun k v res ->
+                          let a = try Hashtbl.find arities k with Not_found -> 0 in
+                            (get (n-1 + a) v) @ res) m []
+           in
+             PSMap.fold
+               (fun k v res ->
+                  let arity = try Hashtbl.find arities k with Not_found -> 0 in
+                    (get arity v) @ res)
+               map []
+      ;;
+
+
+      let retrieve_unifiables tree term =
+       let rec retrieve tree term pos =
+         match tree with
+           | DiscriminationTree.Node (Some s, _) when pos = [] -> s
+           | DiscriminationTree.Node (_, map) ->
+               let subterm =
+                 try Some (subterm_at_pos pos term) with Not_found -> None
+               in
+                 match subterm with
+                   | None -> A.empty
+                   | Some (Cic.Meta _) ->
+                       let newpos = try next_t pos term with Not_found -> [] in
+                       let jl = jump_list tree in
+                         List.fold_left
+                           (fun r s -> A.union r s)
+                           A.empty
+                           (List.map (fun t -> retrieve t term newpos) jl)
+                   | Some subterm ->
+                       let res = 
+                         try
+                           let hd_term = head_of_term subterm in
+                           let n = PSMap.find hd_term map in
+                             match n with
+                               | DiscriminationTree.Node (Some s, _) -> s
+                               | DiscriminationTree.Node (None, _) ->
+                                   retrieve n term (next_t pos term)
+                         with Not_found ->
+                           A.empty
+                       in
+                         try
+                           let n = PSMap.find (Cic.Implicit None) map in
+                           let newpos = try after_t pos term with Not_found -> [-1] in
+                             if newpos = [-1] then
+                               match n with
+                                 | DiscriminationTree.Node (Some s, _) -> A.union s res
+                                 | _ -> res
+                             else
+                               A.union res (retrieve n term newpos)
+                         with Not_found ->
+                           res
+       in
+         retrieve tree term []
+    end
+;;
+