diff -r 6adf4d532679 -r e007d35359c3 src/HOL/Tools/inductive_codegen.ML
--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/src/HOL/Tools/inductive_codegen.ML	Fri Aug 31 16:49:06 2001 +0200
@@ -0,0 +1,381 @@
+(*  Title:      Pure/HOL/inductive_codegen.ML
+    ID:         $Id$
+    Author:     Stefan Berghofer
+    Copyright   2000  TU Muenchen
+
+Code generator for inductive predicates
+*)
+
+signature INDUCTIVE_CODEGEN =
+sig
+  val setup : (theory -> theory) list
+end;
+
+structure InductiveCodegen : INDUCTIVE_CODEGEN =
+struct
+
+open Codegen;
+
+exception Modes of (string * int list list) list * (string * int list list) list;
+
+datatype indprem = Prem of string * term list * term list
+                 | Sidecond of term;
+
+fun prod_factors p (Const ("Pair", _) $ t $ u) =
+      p :: prod_factors (1::p) t @ prod_factors (2::p) u
+  | prod_factors p _ = [];
+
+fun split_prod p ps t = if p mem ps then (case t of
+       Const ("Pair", _) $ t $ u =>
+         split_prod (1::p) ps t @ split_prod (2::p) ps u
+     | _ => error "Inconsistent use of products") else [t];
+
+fun string_of_factors p ps = if p mem ps then
+    "(" ^ string_of_factors (1::p) ps ^ ", " ^ string_of_factors (2::p) ps ^ ")"
+  else "_";
+
+(**** check if a term contains only constructor functions ****)
+
+fun is_constrt thy =
+  let
+    val cnstrs = flat (flat (map
+      (map (fn (_, (_, _, cs)) => map (apsnd length) cs) o #descr o snd)
+      (Symtab.dest (DatatypePackage.get_datatypes thy))));
+    fun check t = (case strip_comb t of
+        (Var _, []) => true
+      | (Const (s, _), ts) => (case assoc (cnstrs, s) of
+            None => false
+          | Some i => length ts = i andalso forall check ts)
+      | _ => false)
+  in check end;
+
+(**** check if a type is an equality type (i.e. doesn't contain fun) ****)
+
+fun is_eqT (Type (s, Ts)) = s <> "fun" andalso forall is_eqT Ts
+  | is_eqT _ = true;
+
+(**** mode inference ****)
+
+val term_vs = map (fst o fst o dest_Var) o term_vars;
+val terms_vs = distinct o flat o (map term_vs);
+
+(** collect all Vars in a term (with duplicates!) **)
+fun term_vTs t = map (apfst fst o dest_Var)
+  (filter is_Var (foldl_aterms (op :: o Library.swap) ([], t)));
+
+fun known_args _ _ [] = []
+  | known_args vs i (t::ts) = if term_vs t subset vs then i::known_args vs (i+1) ts
+      else known_args vs (i+1) ts;
+
+fun get_args _ _ [] = ([], [])
+  | get_args is i (x::xs) = (if i mem is then apfst else apsnd) (cons x)
+      (get_args is (i+1) xs);
+
+fun merge xs [] = xs
+  | merge [] ys = ys
+  | merge (x::xs) (y::ys) = if length x >= length y then x::merge xs (y::ys)
+      else y::merge (x::xs) ys;
+
+fun subsets i j = if i <= j then
+       let val is = subsets (i+1) j
+       in merge (map (fn ks => i::ks) is) is end
+     else [[]];
+
+fun select_mode_prem thy modes vs ps =
+  find_first (is_some o snd) (ps ~~ map
+    (fn Prem (s, us, args) => find_first (fn is =>
+          let
+            val (_, out_ts) = get_args is 1 us;
+            val vTs = flat (map term_vTs out_ts);
+            val dupTs = map snd (duplicates vTs) @
+              mapfilter (curry assoc vTs) vs;
+          in
+            is subset known_args vs 1 us andalso
+            forall (is_constrt thy) (snd (get_args is 1 us)) andalso
+            terms_vs args subset vs andalso
+            forall is_eqT dupTs
+          end)
+            (the (assoc (modes, s)))
+      | Sidecond t => if term_vs t subset vs then Some [] else None) ps);
+
+fun check_mode_clause thy arg_vs modes mode (ts, ps) =
+  let
+    fun check_mode_prems vs [] = Some vs
+      | check_mode_prems vs ps = (case select_mode_prem thy modes vs ps of
+          None => None
+        | Some (x, _) => check_mode_prems
+            (case x of Prem (_, us, _) => vs union terms_vs us | _ => vs)
+            (filter_out (equal x) ps));
+    val (in_ts', _) = get_args mode 1 ts;
+    val in_ts = filter (is_constrt thy) in_ts';
+    val in_vs = terms_vs in_ts;
+    val concl_vs = terms_vs ts
+  in
+    forall is_eqT (map snd (duplicates (flat (map term_vTs in_ts')))) andalso
+    (case check_mode_prems (arg_vs union in_vs) ps of
+       None => false
+     | Some vs => concl_vs subset vs)
+  end;
+
+fun check_modes_pred thy arg_vs preds modes (p, ms) =
+  let val Some rs = assoc (preds, p)
+  in (p, filter (fn m => forall (check_mode_clause thy arg_vs modes m) rs) ms) end
+
+fun fixp f x =
+  let val y = f x
+  in if x = y then x else fixp f y end;
+
+fun infer_modes thy extra_modes arg_vs preds = fixp (fn modes =>
+  map (check_modes_pred thy arg_vs preds (modes @ extra_modes)) modes)
+    (map (fn (s, (ts, _)::_) => (s, subsets 1 (length ts))) preds);
+
+(**** code generation ****)
+
+fun mk_eq (x::xs) =
+  let fun mk_eqs _ [] = []
+        | mk_eqs a (b::cs) = Pretty.str (a ^ " = " ^ b) :: mk_eqs b cs
+  in mk_eqs x xs end;
+
+fun mk_tuple xs = Pretty.block (Pretty.str "(" ::
+  flat (separate [Pretty.str ",", Pretty.brk 1] (map single xs)) @
+  [Pretty.str ")"]);
+
+fun mk_v ((names, vs), s) = (case assoc (vs, s) of
+      None => ((names, (s, [s])::vs), s)
+    | Some xs => let val s' = variant names s in
+        ((s'::names, overwrite (vs, (s, s'::xs))), s') end);
+
+fun distinct_v (nvs, Var ((s, 0), T)) =
+      apsnd (Var o rpair T o rpair 0) (mk_v (nvs, s))
+  | distinct_v (nvs, t $ u) =
+      let
+        val (nvs', t') = distinct_v (nvs, t);
+        val (nvs'', u') = distinct_v (nvs', u);
+      in (nvs'', t' $ u') end
+  | distinct_v x = x;
+
+fun compile_match nvs eq_ps out_ps success_p fail_p =
+  let val eqs = flat (separate [Pretty.str " andalso", Pretty.brk 1]
+    (map single (flat (map (mk_eq o snd) nvs) @ eq_ps)));
+  in
+    Pretty.block
+     ([Pretty.str "(fn ", mk_tuple out_ps, Pretty.str " =>", Pretty.brk 1] @
+      (Pretty.block ((if eqs=[] then [] else Pretty.str "if " ::
+         [Pretty.block eqs, Pretty.brk 1, Pretty.str "then "]) @
+         (success_p ::
+          (if eqs=[] then [] else [Pretty.brk 1, Pretty.str "else ", fail_p]))) ::
+       [Pretty.brk 1, Pretty.str "| _ => ", fail_p, Pretty.str ")"]))
+  end;
+
+fun modename thy s mode = space_implode "_"
+  (mk_const_id (sign_of thy) s :: map string_of_int mode);
+
+fun compile_clause thy gr dep all_vs arg_vs modes mode (ts, ps) =
+  let
+    fun check_constrt ((names, eqs), t) =
+      if is_constrt thy t then ((names, eqs), t) else
+        let val s = variant names "x";
+        in ((s::names, (s, t)::eqs), Var ((s, 0), fastype_of t)) end;
+
+    val (in_ts, out_ts) = get_args mode 1 ts;
+    val ((all_vs', eqs), in_ts') =
+      foldl_map check_constrt ((all_vs, []), in_ts);
+
+    fun compile_prems out_ts' vs names gr [] =
+          let
+            val (gr2, out_ps) = foldl_map (fn (gr, t) =>
+              invoke_codegen thy gr dep false t) (gr, out_ts);
+            val (gr3, eq_ps) = foldl_map (fn (gr, (s, t)) =>
+              apsnd (Pretty.block o cons (Pretty.str (s ^ " = ")) o single)
+                (invoke_codegen thy gr dep false t)) (gr2, eqs);
+            val (nvs, out_ts'') = foldl_map distinct_v
+              ((names, map (fn x => (x, [x])) vs), out_ts');
+            val (gr4, out_ps') = foldl_map (fn (gr, t) =>
+              invoke_codegen thy gr dep false t) (gr3, out_ts'');
+          in
+            (gr4, compile_match (snd nvs) eq_ps out_ps'
+              (Pretty.block [Pretty.str "Seq.single", Pretty.brk 1, mk_tuple out_ps])
+              (Pretty.str "Seq.empty"))
+          end
+      | compile_prems out_ts vs names gr ps =
+          let
+            val vs' = distinct (flat (vs :: map term_vs out_ts));
+            val Some (p, Some mode') =
+              select_mode_prem thy modes (arg_vs union vs') ps;
+            val ps' = filter_out (equal p) ps;
+          in
+            (case p of
+               Prem (s, us, args) =>
+                 let
+                   val (in_ts, out_ts') = get_args mode' 1 us;
+                   val (gr1, in_ps) = foldl_map (fn (gr, t) =>
+                     invoke_codegen thy gr dep false t) (gr, in_ts);
+                   val (gr2, arg_ps) = foldl_map (fn (gr, t) =>
+                     invoke_codegen thy gr dep true t) (gr1, args);
+                   val (nvs, out_ts'') = foldl_map distinct_v
+                     ((names, map (fn x => (x, [x])) vs), out_ts);
+                   val (gr3, out_ps) = foldl_map (fn (gr, t) =>
+                     invoke_codegen thy gr dep false t) (gr2, out_ts'')
+                   val (gr4, rest) = compile_prems out_ts' vs' (fst nvs) gr3 ps';
+                 in
+                   (gr4, compile_match (snd nvs) [] out_ps
+                      (Pretty.block (separate (Pretty.brk 1)
+                        (Pretty.str (modename thy s mode') :: arg_ps) @
+                         [Pretty.brk 1, mk_tuple in_ps,
+                          Pretty.str " :->", Pretty.brk 1, rest]))
+                      (Pretty.str "Seq.empty"))
+                 end
+             | Sidecond t =>
+                 let
+                   val (gr1, side_p) = invoke_codegen thy gr dep true t;
+                   val (nvs, out_ts') = foldl_map distinct_v
+                     ((names, map (fn x => (x, [x])) vs), out_ts);
+                   val (gr2, out_ps) = foldl_map (fn (gr, t) =>
+                     invoke_codegen thy gr dep false t) (gr1, out_ts')
+                   val (gr3, rest) = compile_prems [] vs' (fst nvs) gr2 ps';
+                 in
+                   (gr3, compile_match (snd nvs) [] out_ps
+                      (Pretty.block [Pretty.str "?? ", side_p,
+                        Pretty.str " :->", Pretty.brk 1, rest])
+                      (Pretty.str "Seq.empty"))
+                 end)
+          end;
+
+    val (gr', prem_p) = compile_prems in_ts' [] all_vs' gr ps;
+  in
+    (gr', Pretty.block [Pretty.str "Seq.single inp :->", Pretty.brk 1, prem_p])
+  end;
+
+fun compile_pred thy gr dep prfx all_vs arg_vs modes s cls mode =
+  let val (gr', cl_ps) = foldl_map (fn (gr, cl) =>
+    compile_clause thy gr dep all_vs arg_vs modes mode cl) (gr, cls)
+  in
+    ((gr', "and "), Pretty.block
+      ([Pretty.block (separate (Pretty.brk 1)
+         (Pretty.str (prfx ^ modename thy s mode) :: map Pretty.str arg_vs) @
+         [Pretty.str " inp ="]),
+        Pretty.brk 1] @
+       flat (separate [Pretty.str " ++", Pretty.brk 1] (map single cl_ps))))
+  end;
+
+fun compile_preds thy gr dep all_vs arg_vs modes preds =
+  let val ((gr', _), prs) = foldl_map (fn ((gr, prfx), (s, cls)) =>
+    foldl_map (fn ((gr', prfx'), mode) =>
+      compile_pred thy gr' dep prfx' all_vs arg_vs modes s cls mode)
+        ((gr, prfx), the (assoc (modes, s)))) ((gr, "fun "), preds)
+  in
+    (gr', space_implode "\n\n" (map Pretty.string_of (flat prs)) ^ ";\n\n")
+  end;
+
+(**** processing of introduction rules ****)
+
+val string_of_mode = enclose "[" "]" o commas o map string_of_int;
+
+fun print_modes modes = message ("Inferred modes:\n" ^
+  space_implode "\n" (map (fn (s, ms) => s ^ ": " ^ commas (map
+    string_of_mode ms)) modes));
+
+fun print_factors factors = message ("Factors:\n" ^
+  space_implode "\n" (map (fn (s, fs) => s ^ ": " ^ string_of_factors [] fs) factors));
+  
+fun get_modes (Some (Modes x), _) = x
+  | get_modes _ = ([], []);
+
+fun mk_ind_def thy gr dep names intrs =
+  let val ids = map (mk_const_id (sign_of thy)) names
+  in Graph.add_edge (hd ids, dep) gr handle Graph.UNDEF _ =>
+    let
+      fun process_prem factors (gr, t' as _ $ (Const ("op :", _) $ t $ u)) =
+            (case strip_comb u of
+               (Const (name, _), args) =>
+                  (case InductivePackage.get_inductive thy name of
+                     None => (gr, Sidecond t')
+                   | Some ({names=names', ...}, {intrs=intrs', ...}) =>
+                       (if names = names' then gr
+                          else mk_ind_def thy gr (hd ids) names' intrs',
+                        Prem (name, split_prod []
+                          (the (assoc (factors, name))) t, args)))
+             | _ => (gr, Sidecond t'))
+        | process_prem factors (gr, _ $ (Const ("op =", _) $ t $ u)) =
+            (gr, Prem ("eq", [t, u], []))
+        | process_prem factors (gr, _ $ t) = (gr, Sidecond t);
+
+      fun add_clause factors ((clauses, gr), intr) =
+        let
+          val _ $ (_ $ t $ u) = Logic.strip_imp_concl intr;
+          val (Const (name, _), args) = strip_comb u;
+          val (gr', prems) = foldl_map (process_prem factors)
+            (gr, Logic.strip_imp_prems intr);
+        in
+          (overwrite (clauses, (name, if_none (assoc (clauses, name)) [] @
+             [(split_prod [] (the (assoc (factors, name))) t, prems)])), gr')
+        end;
+
+      fun add_prod_factors (fs, x as _ $ (Const ("op :", _) $ t $ u)) =
+            (case strip_comb u of
+               (Const (name, _), _) =>
+                 let val f = prod_factors [] t
+                 in overwrite (fs, (name, f inter if_none (assoc (fs, name)) f)) end
+             | _ => fs)
+        | add_prod_factors (fs, _) = fs;
+
+      val intrs' = map (rename_term o #prop o rep_thm o standard) intrs;
+      val factors = foldl add_prod_factors ([], flat (map (fn t =>
+        Logic.strip_imp_concl t :: Logic.strip_imp_prems t) intrs'));
+      val (clauses, gr') = foldl (add_clause factors) (([], Graph.add_edge (hd ids, dep)
+        (Graph.new_node (hd ids, (None, "")) gr)), intrs');
+      val _ $ (_ $ _ $ u) = Logic.strip_imp_concl (hd intrs');
+      val (_, args) = strip_comb u;
+      val arg_vs = flat (map term_vs args);
+      val extra_modes = ("eq", [[1], [2], [1,2]]) :: (flat (map
+        (fst o get_modes o Graph.get_node gr') (Graph.all_preds gr' [hd ids])));
+      val modes = infer_modes thy extra_modes arg_vs clauses;
+      val _ = print_modes modes;
+      val _ = print_factors factors;
+      val (gr'', s) = compile_preds thy gr' (hd ids) (terms_vs intrs') arg_vs
+        (modes @ extra_modes) clauses;
+    in
+      (Graph.map_node (hd ids) (K (Some (Modes (modes, factors)), s)) gr'')
+    end      
+  end;
+
+fun mk_ind_call thy gr dep t u is_query = (case strip_comb u of
+  (Const (s, _), args) => (case InductivePackage.get_inductive thy s of
+       None => None
+     | Some ({names, ...}, {intrs, ...}) =>
+         let
+          fun mk_mode (((ts, mode), i), Var _) = ((ts, mode), i+1)
+            | mk_mode (((ts, mode), i), Free _) = ((ts, mode), i+1)
+            | mk_mode (((ts, mode), i), t) = ((ts @ [t], mode @ [i]), i+1);
+
+           val gr1 = mk_ind_def thy gr dep names intrs;
+           val (modes, factors) = pairself flat (ListPair.unzip
+             (map (get_modes o Graph.get_node gr1) (Graph.all_preds gr1 [dep])));
+           val ts = split_prod [] (the (assoc (factors, s))) t;
+           val (ts', mode) = if is_query then
+               fst (foldl mk_mode ((([], []), 1), ts))
+             else (ts, 1 upto length ts);
+           val _ = if mode mem the (assoc (modes, s)) then () else
+             error ("No such mode for " ^ s ^ ": " ^ string_of_mode mode);
+           val (gr2, in_ps) = foldl_map (fn (gr, t) =>
+             invoke_codegen thy gr dep false t) (gr1, ts');
+           val (gr3, arg_ps) = foldl_map (fn (gr, t) =>
+             invoke_codegen thy gr dep true t) (gr2, args);
+         in
+           Some (gr3, Pretty.block (separate (Pretty.brk 1)
+             (Pretty.str (modename thy s mode) :: arg_ps @ [mk_tuple in_ps])))
+         end)
+  | _ => None);
+
+fun inductive_codegen thy gr dep brack (Const ("op :", _) $ t $ u) =
+      (case mk_ind_call thy gr dep t u false of
+         None => None
+       | Some (gr', call_p) => Some (gr', (if brack then parens else I)
+           (Pretty.block [Pretty.str "nonempty (", call_p, Pretty.str ")"])))
+  | inductive_codegen thy gr dep brack (Free ("query", _) $ (Const ("op :", _) $ t $ u)) =
+      mk_ind_call thy gr dep t u true
+  | inductive_codegen thy gr dep brack _ = None;
+
+val setup = [add_codegen "inductive" inductive_codegen];
+
+end;