* http://cs.unibo.it/helm/.
*)
-module UM = UriManager
module C = Cic
module Pp = CicPp
-module Un = CicUniv
module I = CicInspect
-module E = CicEnvironment
module S = CicSubstitution
-module Rd = CicReduction
-module TC = CicTypeChecker
-module Rf = CicRefine
module DTI = DoubleTypeInference
module HEL = HExtlib
+module PEH = ProofEngineHelpers
-(* helper functions *********************************************************)
+module H = ProceduralHelpers
+module Cl = ProceduralClassify
-let identity x = x
+(* term preprocessing: optomization 1 ***************************************)
-let comp f g x = f (g x)
-
-let split c t =
- let add s v c = Some (s, C.Decl v) :: c in
- let rec aux whd a n c = function
- | C.Prod (s, v, t) -> aux false (v :: a) (succ n) (add s v c) t
- | v when whd -> v :: a, n
- | v -> aux true a n c (Rd.whd ~delta:true c v)
- in
- aux false [] 0 c t
-
-let get_type c t =
- try let ty, _ = TC.type_of_aux' [] c t Un.empty_ugraph in ty
- with e ->
- Printf.eprintf "TC: context: %s\n" (Pp.ppcontext c);
- Printf.eprintf "TC: term : %s\n" (Pp.ppterm t);
- raise e
-
-let refine c t =
- try let t, _, _, _ = Rf.type_of_aux' [] c t Un.empty_ugraph in t
- with e ->
- Printf.eprintf "REFINE EROR: %s\n" (Printexc.to_string e);
- Printf.eprintf "Ref: context: %s\n" (Pp.ppcontext c);
- Printf.eprintf "Ref: term : %s\n" (Pp.ppterm t);
- raise e
-
-let get_tail c t =
- match split c t with
- | hd :: _, _ -> hd
- | _ -> assert false
-
-let is_proof c t =
- match get_tail c (get_type c (get_type c t)) with
- | C.Sort C.Prop -> true
- | C.Sort _ -> false
- | _ -> assert false
+let defined_premise = "DEFINED"
-let is_not_atomic = function
- | C.Sort _
- | C.Rel _
- | C.Const _
- | C.Var _
- | C.MutInd _
- | C.MutConstruct _ -> false
- | _ -> true
+let define v =
+ let name = C.Name defined_premise in
+ C.LetIn (name, v, C.Rel 1)
let clear_absts m =
let rec aux k n = function
- | C.Lambda (s, v, t) when k > 0 ->
+ | C.Lambda (s, v, t) when k > 0 ->
C.Lambda (s, v, aux (pred k) n t)
- | C.Lambda (_, _, t) when n > 0 ->
+ | C.Lambda (_, _, t) when n > 0 ->
aux 0 (pred n) (S.lift (-1) t)
- | t when n > 0 ->
+ | t when n > 0 ->
Printf.eprintf "CicPPP clear_absts: %u %s\n" n (Pp.ppterm t);
assert false
| t -> t
| t when k > 0 -> assert false
| t -> C.Lambda (C.Anonymous, C.Implicit None, S.lift 1 t)
-let get_ind_type uri tyno =
- match E.get_obj Un.empty_ugraph uri with
- | C.InductiveDefinition (tys, _, lpsno, _), _ -> lpsno, List.nth tys tyno
- | _ -> assert false
-
-let get_ind_parameters c t =
- let ty = get_type c t in
- let ps = match get_tail c ty with
- | C.MutInd _ -> []
- | C.Appl (C.MutInd _ :: args) -> args
- | _ -> assert false
+let rec opt1_letin g es c name v t =
+ let name = H.mk_fresh_name c name in
+ let entry = Some (name, C.Def (v, None)) in
+ let g t =
+ if DTI.does_not_occur 1 t then begin
+ let x = S.lift (-1) t in
+ HLog.warn "Optimizer: remove 1"; opt1_proof g true c x
+ end else
+ let g = function
+ | C.LetIn (nname, vv, tt) when H.is_proof c v ->
+ let x = C.LetIn (nname, vv, C.LetIn (name, tt, S.lift_from 2 1 t)) in
+ HLog.warn "Optimizer: swap 1"; opt1_proof g true c x
+ | v ->
+ g (C.LetIn (name, v, t))
+ in
+ if es then opt1_term g es c v else g v
in
- let disp = match get_tail c (get_type c ty) with
- | C.Sort C.Prop -> 0
- | C.Sort _ -> 1
- | _ -> assert false
+ if es then opt1_proof g es (entry :: c) t else g t
+
+and opt1_lambda g es c name w t =
+ let name = H.mk_fresh_name c name in
+ let entry = Some (name, C.Decl w) in
+ let g t =
+ let name = if DTI.does_not_occur 1 t then C.Anonymous else name in
+ g (C.Lambda (name, w, t))
in
- ps, disp
+ if es then opt1_proof g es (entry :: c) t else g t
+
+and opt1_appl g es c t vs =
+ let g vs =
+ let g = function
+ | C.LetIn (mame, vv, tt) ->
+ let vs = List.map (S.lift 1) vs in
+ let x = C.LetIn (mame, vv, C.Appl (tt :: vs)) in
+ HLog.warn "Optimizer: swap 2"; opt1_proof g true c x
+ | C.Lambda (name, ww, tt) ->
+ let v, vs = List.hd vs, List.tl vs in
+ let x = C.Appl (C.LetIn (name, v, tt) :: vs) in
+ HLog.warn "Optimizer: remove 2"; opt1_proof g true c x
+ | C.Appl vvs ->
+ let x = C.Appl (vvs @ vs) in
+ HLog.warn "Optimizer: nested application"; opt1_proof g true c x
+ | t ->
+ let rec aux d rvs = function
+ | [], _ ->
+ let x = C.Appl (t :: List.rev rvs) in
+ if d then opt1_proof g true c x else g x
+ | v :: vs, (cc, bb) :: cs ->
+ if H.is_not_atomic v && I.S.mem 0 cc && bb then begin
+ HLog.warn "Optimizer: anticipate 1";
+ aux true (define v :: rvs) (vs, cs)
+ end else
+ aux d (v :: rvs) (vs, cs)
+ | _, [] -> assert false
+ in
+ let h () =
+ let classes, conclusion = Cl.classify c (H.get_type c t) in
+ let csno, vsno = List.length classes, List.length vs in
+ if csno < vsno then
+ let vvs, vs = HEL.split_nth csno vs in
+ let x = C.Appl (define (C.Appl (t :: vvs)) :: vs) in
+ HLog.warn "Optimizer: anticipate 2"; opt1_proof g true c x
+ else match conclusion, List.rev vs with
+ | Some _, rv :: rvs when csno = vsno && H.is_not_atomic rv ->
+ let x = C.Appl (t :: List.rev rvs @ [define rv]) in
+ HLog.warn "Optimizer: anticipate 3"; opt1_proof g true c x
+ | Some _, _ ->
+ g (C.Appl (t :: vs))
+ | None, _ ->
+ aux false [] (vs, classes)
+ in
+ let rec aux h prev = function
+ | C.LetIn (name, vv, tt) :: vs ->
+ let t = S.lift 1 t in
+ let prev = List.map (S.lift 1) prev in
+ let vs = List.map (S.lift 1) vs in
+ let y = C.Appl (t :: List.rev prev @ tt :: vs) in
+ let x = C.LetIn (name, vv, y) in
+ HLog.warn "Optimizer: swap 3"; opt1_proof g true c x
+ | v :: vs -> aux h (v :: prev) vs
+ | [] -> h ()
+ in
+ aux h [] vs
+ in
+ if es then opt1_proof g es c t else g t
+ in
+ if es then H.list_map_cps g (fun h -> opt1_term h es c) vs else g vs
-let get_default_eliminator context uri tyno ty =
- let _, (name, _, _, _) = get_ind_type uri tyno in
- let ext = match get_tail context (get_type context ty) with
- | C.Sort C.Prop -> "_ind"
- | C.Sort C.Set -> "_rec"
- | C.Sort C.CProp -> "_rec"
- | C.Sort (C.Type _) -> "_rect"
- | t ->
- Printf.eprintf "CicPPP get_default_eliminator: %s\n" (Pp.ppterm t);
- assert false
+and opt1_mutcase g es c uri tyno outty arg cases =
+ let eliminator = H.get_default_eliminator c uri tyno outty in
+ let lpsno, (_, _, _, constructors) = H.get_ind_type uri tyno in
+ let ps, sort_disp = H.get_ind_parameters c arg in
+ let lps, rps = HEL.split_nth lpsno ps in
+ let rpsno = List.length rps in
+ let predicate = clear_absts rpsno (1 - sort_disp) outty in
+ let is_recursive t =
+ I.S.mem tyno (I.get_mutinds_of_uri uri t)
in
- let buri = UM.buri_of_uri uri in
- let uri = UM.uri_of_string (buri ^ "/" ^ name ^ ext ^ ".con") in
- C.Const (uri, [])
+ let map2 case (_, cty) =
+ let map (h, case, k) (_, premise) =
+ if h > 0 then pred h, case, k else
+ if is_recursive premise then
+ 0, add_abst k case, k + 2
+ else
+ 0, case, succ k
+ in
+ let premises, _ = PEH.split_with_whd (c, cty) in
+ let _, lifted_case, _ =
+ List.fold_left map (lpsno, case, 1) (List.rev (List.tl premises))
+ in
+ lifted_case
+ in
+ let lifted_cases = List.map2 map2 cases constructors in
+ let args = eliminator :: lps @ predicate :: lifted_cases @ rps @ [arg] in
+ let x = H.refine c (C.Appl args) in
+ HLog.warn "Optimizer: remove 3"; opt1_proof g es c x
-let add g htbl t proof decurry =
- if proof then C.CicHash.add htbl t decurry;
- g t proof decurry
+and opt1_cast g es c t w =
+ let g t = HLog.warn "Optimizer: remove 4"; g t in
+ if es then opt1_proof g es c t else g t
-let find g htbl t =
- try
- let decurry = C.CicHash.find htbl t in g t true decurry
- with Not_found -> g t false 0
+and opt1_other g es c t = g t
-(* term preprocessing *******************************************************)
+and opt1_proof g es c = function
+ | C.LetIn (name, v, t) -> opt1_letin g es c name v t
+ | C.Lambda (name, w, t) -> opt1_lambda g es c name w t
+ | C.Appl (t :: v :: vs) -> opt1_appl g es c t (v :: vs)
+ | C.Appl [t] -> opt1_proof g es c t
+ | C.MutCase (u, n, t, v, ws) -> opt1_mutcase g es c u n t v ws
+ | C.Cast (t, w) -> opt1_cast g es c t w
+ | t -> opt1_other g es c t
-let expanded_premise = "EXPANDED"
+and opt1_term g es c t =
+ if H.is_proof c t then opt1_proof g es c t else g t
-let defined_premise = "DEFINED"
+(* term preprocessing: optomization 2 ***************************************)
+
+let expanded_premise = "EXPANDED"
let eta_expand g tys t =
assert (tys <> []);
let lambda i ty t = C.Lambda (C.Name (name i), ty, t) in
let arg i = C.Rel (succ i) in
let rec aux i f a = function
- | [] -> f, a
- | ty :: tl -> aux (succ i) (comp f (lambda i ty)) (arg i :: a) tl
+ | [] -> f, a
+ | (_, ty) :: tl -> aux (succ i) (H.compose f (lambda i ty)) (arg i :: a) tl
in
let n = List.length tys in
- let absts, args = aux 0 identity [] tys in
+ let absts, args = aux 0 H.identity [] tys in
let t = match S.lift n t with
| C.Appl ts -> C.Appl (ts @ args)
| t -> C.Appl (t :: args)
in
g (absts t)
-let get_tys c decurry =
- let rec aux n = function
-(* | C.Appl (hd :: tl) -> aux (n + List.length tl) hd *)
- | t ->
- let tys, _ = split c (get_type c t) in
- let _, tys = HEL.split_nth n (List.rev tys) in
- let tys, _ = HEL.split_nth decurry tys in
- tys
- in
- aux 0
-
-let eta_fix c t proof decurry =
- let rec aux g c = function
- | C.LetIn (name, v, t) ->
- let g t = g (C.LetIn (name, v, t)) in
- let entry = Some (name, C.Def (v, None)) in
- aux g (entry :: c) t
- | t -> eta_expand g (get_tys c decurry t) t
- in
- if proof && decurry > 0 then aux identity c t else t
-
-let rec pp_cast g ht es c t v =
- if true then pp_proof g ht es c t else find g ht t
-
-and pp_lambda g ht es c name v t =
- let name = if DTI.does_not_occur 1 t then C.Anonymous else name in
- let entry = Some (name, C.Decl v) in
- let g t _ decurry =
- let t = eta_fix (entry :: c) t true decurry in
- g (C.Lambda (name, v, t)) true 0 in
- if true then pp_proof g ht es (entry :: c) t else find g ht t
-
-and pp_letin g ht es c name v t =
+let rec opt2_letin g c name v t =
let entry = Some (name, C.Def (v, None)) in
- let g t _ decurry =
- if DTI.does_not_occur 1 t then g (S.lift (-1) t) true decurry else
- let g v proof d = match v with
- | C.LetIn (mame, w, u) when proof ->
- let x = C.LetIn (mame, w, C.LetIn (name, u, S.lift_from 2 1 t)) in
- pp_proof g ht false c x
- | v ->
- let v = eta_fix c v proof d in
- g (C.LetIn (name, v, t)) true decurry
- in
- if true then pp_term g ht es c v else find g ht v
+ let g t =
+ let g v = g (C.LetIn (name, v, t)) in
+ opt2_term g c v
in
- if true then pp_proof g ht es (entry :: c) t else find g ht t
-
-and pp_appl_one g ht es c t v =
- let g t _ decurry =
- let g v proof d =
- match t, v with
- | t, C.LetIn (mame, w, u) when proof ->
- let x = C.LetIn (mame, w, C.Appl [S.lift 1 t; u]) in
- pp_proof g ht false c x
- | C.LetIn (mame, w, u), v ->
- let x = C.LetIn (mame, w, C.Appl [u; S.lift 1 v]) in
- pp_proof g ht false c x
- | C.Appl ts, v when decurry > 0 ->
- let v = eta_fix c v proof d in
- g (C.Appl (List.append ts [v])) true (pred decurry)
- | t, v when is_not_atomic t ->
- let mame = C.Name defined_premise in
- let x = C.LetIn (mame, t, C.Appl [C.Rel 1; S.lift 1 v]) in
- pp_proof g ht false c x
- | t, v ->
- let v = eta_fix c v proof d in
- g (C.Appl [t; v]) true (pred decurry)
- in
- if true then pp_term g ht es c v else find g ht v
+ opt2_proof g (entry :: c) t
+
+and opt2_lambda g c name w t =
+ let entry = Some (name, C.Decl w) in
+ let g t = g (C.Lambda (name, w, t)) in
+ opt2_proof g (entry :: c) t
+
+and opt2_appl g c t vs =
+ let g vs =
+ let x = C.Appl (t :: vs) in
+ let vsno = List.length vs in
+ let _, csno = PEH.split_with_whd (c, H.get_type c t) in
+ if vsno < csno then
+ let tys, _ = PEH.split_with_whd (c, H.get_type c x) in
+ let tys = List.rev (List.tl tys) in
+ let tys, _ = HEL.split_nth (csno - vsno) tys in
+ HLog.warn "Optimizer: eta 1"; eta_expand g tys x
+ else g x
in
- if true then pp_proof g ht es c t else find g ht t
-
-and pp_appl g ht es c t = function
- | [] -> pp_proof g ht es c t
- | [v] -> pp_appl_one g ht es c t v
- | v1 :: v2 :: vs ->
- let x = C.Appl (C.Appl [t; v1] :: v2 :: vs) in
- pp_proof g ht es c x
-
-and pp_atomic g ht es c t =
- let _, premsno = split c (get_type c t) in
- g t true premsno
+ H.list_map_cps g (fun h -> opt2_term h c) vs
-and pp_mutcase g ht es c uri tyno outty arg cases =
- let eliminator = get_default_eliminator c uri tyno outty in
- let lpsno, (_, _, _, constructors) = get_ind_type uri tyno in
- let ps, sort_disp = get_ind_parameters c arg in
- let lps, rps = HEL.split_nth lpsno ps in
- let rpsno = List.length rps in
- let predicate = clear_absts rpsno (1 - sort_disp) outty in
- let is_recursive t =
- I.S.mem tyno (I.get_mutinds_of_uri uri t)
- in
- let map2 case (_, cty) =
- let map (h, case, k) premise =
- if h > 0 then pred h, case, k else
- if is_recursive premise then
- 0, add_abst k case, k + 2
- else
- 0, case, succ k
- in
- let premises, _ = split c cty in
- let _, lifted_case, _ =
- List.fold_left map (lpsno, case, 1) (List.rev (List.tl premises))
- in
- lifted_case
- in
- let lifted_cases = List.map2 map2 cases constructors in
- let args = eliminator :: lps @ predicate :: lifted_cases @ rps @ [arg] in
- let x = refine c (C.Appl args) in
- pp_proof g ht es c x
+and opt2_other g c t =
+ let tys, csno = PEH.split_with_whd (c, H.get_type c t) in
+ if csno > 0 then begin
+ let tys = List.rev (List.tl tys) in
+ HLog.warn "Optimizer: eta 2"; eta_expand g tys t
+ end else g t
-and pp_proof g ht es c t =
-(* Printf.eprintf "IN: |- %s\n" (*CicPp.ppcontext c*) (CicPp.ppterm t);
- let g t proof decurry =
- Printf.eprintf "OUT: %b %u |- %s\n" proof decurry (CicPp.ppterm t);
- g t proof decurry
- in *)
-(* let g t proof decurry = add g ht t proof decurry in *)
- match t with
- | C.Cast (t, v) -> pp_cast g ht es c t v
- | C.Lambda (name, v, t) -> pp_lambda g ht es c name v t
- | C.LetIn (name, v, t) -> pp_letin g ht es c name v t
- | C.Appl (t :: vs) -> pp_appl g ht es c t vs
- | C.MutCase (u, n, t, v, ws) -> pp_mutcase g ht es c u n t v ws
- | t -> pp_atomic g ht es c t
+and opt2_proof g c = function
+ | C.LetIn (name, v, t) -> opt2_letin g c name v t
+ | C.Lambda (name, w, t) -> opt2_lambda g c name w t
+ | C.Appl (t :: vs) -> opt2_appl g c t vs
+ | t -> opt2_other g c t
-and pp_term g ht es c t =
- if is_proof c t then pp_proof g ht es c t else g t false 0
+and opt2_term g c t =
+ if H.is_proof c t then opt2_proof g c t else g t
(* object preprocessing *****************************************************)
let pp_obj = function
| C.Constant (name, Some bo, ty, pars, attrs) ->
- let g bo proof decurry =
- let bo = eta_fix [] bo proof decurry in
- C.Constant (name, Some bo, ty, pars, attrs)
+ let g bo =
+ Printf.eprintf "Optimized: %s\n" (Pp.ppterm bo);
+ let _ = H.get_type [] (C.Cast (bo, ty)) in
+ C.Constant (name, Some bo, ty, pars, attrs)
in
- let ht = C.CicHash.create 1 in
Printf.eprintf "BEGIN: %s\n" name;
- begin try pp_term g ht true [] bo
+ begin try opt1_term (opt2_term g []) true [] bo
with e -> failwith ("PPP: " ^ Printexc.to_string e) end
| obj -> obj
projects / helm.git / blobdiff