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[helm.git] / components / 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 = 
+        | Constant of UriManager.uri 
+        | Bound of int | Variable | Proposition | Datatype | Dead;;
+      type path_string = path_string_elem list;;
+
+
+      (* needed by the retrieve_* functions, to know the arities of the
+       * "functions" *)
+      
+      let ppelem = function
+        | Constant uri -> UriManager.name_of_uri uri
+        | Bound i -> string_of_int i
+        | Variable -> "?"
+        | Proposition -> "Prop"
+        | Datatype -> "Type"
+        | Dead -> "DEAD"
+      ;;
+      let pppath l = String.concat "::" (List.map ppelem l) ;;
+      let elem_of_cic = function
+        | Cic.Meta _ | Cic.Implicit _ -> Variable
+        | Cic.Rel i -> Bound i
+        | Cic.Sort (Cic.Prop) -> Proposition
+        | Cic.Sort _ -> Datatype
+        | Cic.Const _ | Cic.Var _ | Cic.MutInd _ | Cic.MutConstruct _ as t ->
+            (try Constant (CicUtil.uri_of_term t)
+            with Invalid_argument _ -> assert false)
+        | Cic.Appl _ -> 
+            assert false (* should not happen *)
+        | Cic.LetIn _ | Cic.Lambda _ | Cic.Prod _ | Cic.Cast _
+        | Cic.MutCase _ | Cic.Fix _ | Cic.CoFix _ -> 
+            HLog.debug "FIXME: the trie receives an invalid term";
+            Dead
+            (* assert false universe.ml removes these *)
+      ;;
+      let path_string_of_term arities =
+       let set_arity arities k n = 
+         (assert (k<>Variable || n=0);
+          if k = Dead then arities else (k,n)::(List.remove_assoc k arities))
+        in
+        let rec aux arities = function
+          | Cic.Appl ((hd::tl) as l) ->
+              let arities = 
+               set_arity arities (elem_of_cic hd) (List.length tl) in
+             List.fold_left 
+               (fun (arities,path) t -> 
+                  let arities,tpath = aux arities t in
+                    arities,path@tpath)
+               (arities,[]) l
+          | t -> arities, [elem_of_cic t]
+        in 
+          aux arities
+      ;;
+      let compare_elem e1 e2 =
+        match e1,e2 with
+        | Constant u1,Constant u2 -> UriManager.compare u1 u2
+        | e1,e2 -> Pervasives.compare e1 e2
+      ;;
+
+      module OrderedPathStringElement = struct
+        type t = path_string_elem
+        let compare = compare_elem
+      end
+
+      module PSMap = Map.Make(OrderedPathStringElement);;
+
+      type key = PSMap.key
+
+      module DiscriminationTree = Trie.Make(PSMap);;
+
+      type t = A.t DiscriminationTree.t * (path_string_elem*int) list
+      let empty = DiscriminationTree.empty, [] ;;
+
+      let index (tree,arity) term info =
+        let arity,ps = path_string_of_term arity 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,arity
+      ;;
+
+      let remove_index (tree,arity) term info =
+        let arity,ps = path_string_of_term arity 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,arity
+          else
+            DiscriminationTree.add ps ps_set tree,arity
+        with Not_found ->
+          tree,arity
+      ;;
+
+      let in_index (tree,arity) term test =
+        let arity,ps = path_string_of_term arity term in
+        try
+          let ps_set = DiscriminationTree.find ps tree in
+          A.exists test ps_set
+        with Not_found ->
+          false
+      ;;
+
+      let head_of_term = function
+        | Cic.Appl (hd::tl) -> hd
+        | term -> term
+      ;;
+
+      let rec skip_prods = function
+        | Cic.Prod (_,_,t) -> skip_prods t
+        | 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
+            ignore(subterm_at_pos pos' term ); 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,arity) term =
+        let term = skip_prods term in
+        let rec retrieve tree term pos =
+          match tree with
+            | DiscriminationTree.Node (Some s, _) when pos = [] -> s
+            | DiscriminationTree.Node (_, map) ->
+                let res =
+                  let hd_term = 
+                    elem_of_cic (head_of_term (subterm_at_pos pos term)) 
+                  in
+                  if hd_term = Variable then A.empty else 
+                  try
+                    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 Variable 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 arities = 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 List.assoc k arities 
+                             with Not_found -> 0 
+                           in
+                             (get (n-1 + a) v) @ res) m []
+            in
+              PSMap.fold
+                (fun k v res ->
+                   let arity = 
+                    try 
+                      List.assoc k arities 
+                    with Not_found -> 0 in
+                     (get arity v) @ res)
+                map []
+      ;;
+
+
+      let retrieve_unifiables (tree,arities) term =
+        let term = skip_prods term in
+        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 arities 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 = 
+                        let hd_term = elem_of_cic (head_of_term subterm) in
+                          if hd_term = Variable then
+                          A.empty else
+                        try
+                          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 Variable 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
+;;
+