open Printf open Pp open Subtac_utils open Term open Names open Libnames open Summary open Libobject open Entries open Decl_kinds open Util open Evd type obligation = { obl_name : identifier; obl_type : types; obl_body : constr option; obl_deps : Intset.t; } type obligations = (obligation array * int) type program_info = { prg_name: identifier; prg_body: constr; prg_type: types; prg_obligations: obligations; } let evar_of_obligation o = { evar_hyps = Environ.empty_named_context_val ; evar_concl = o.obl_type ; evar_body = Evar_empty ; evar_extra = None } module ProgMap = Map.Make(struct type t = identifier let compare = compare end) let map_replace k v m = ProgMap.add k v (ProgMap.remove k m) let map_cardinal m = let i = ref 0 in ProgMap.iter (fun _ _ -> incr i) m; !i exception Found of program_info let map_first m = try ProgMap.iter (fun _ v -> raise (Found v)) m; assert(false) with Found x -> x let from_prg : program_info ProgMap.t ref = ref ProgMap.empty let _ = Summary.declare_summary "program-tcc-table" { Summary.freeze_function = (fun () -> !from_prg); Summary.unfreeze_function = (fun v -> from_prg := v); Summary.init_function = (fun () -> from_prg := ProgMap.empty); Summary.survive_module = false; Summary.survive_section = false } let declare_definition prg = (* let obls_constrs = Array.fold_right (fun x acc -> (out_some x.obl_evar.evar_body) :: acc) (fst prg.prg_obligations) [] in*) let ce = { const_entry_body = prg.prg_body; const_entry_type = Some prg.prg_type; const_entry_opaque = false; const_entry_boxed = false} in let _constant = Declare.declare_constant prg.prg_name (DefinitionEntry ce,IsDefinition Definition) in Subtac_utils.definition_message prg.prg_name open Evd let terms_of_evar ev = match ev.evar_body with Evar_defined b -> let nc = Environ.named_context_of_val ev.evar_hyps in let body = Termops.it_mkNamedLambda_or_LetIn b nc in let typ = Termops.it_mkNamedProd_or_LetIn ev.evar_concl nc in body, typ | _ -> assert(false) let declare_obligation obl body = let ce = { const_entry_body = body; const_entry_type = Some obl.obl_type; const_entry_opaque = true; const_entry_boxed = false} in let constant = Declare.declare_constant obl.obl_name (DefinitionEntry ce,IsProof Property) in Subtac_utils.definition_message obl.obl_name; { obl with obl_body = Some (mkConst constant) } let try_tactics obls = Array.map (fun obl -> match obl.obl_body with None -> (try let ev = evar_of_obligation obl in let c = Subtac_utils.solve_by_tac ev Auto.default_full_auto in declare_obligation obl c with _ -> obl) | _ -> obl) obls let add_entry n b t obls = Options.if_verbose pp (str (string_of_id n) ++ str " has type-checked"); let init_obls e = Array.map (fun (n, t, d) -> { obl_name = n ; obl_body = None; obl_type = t; obl_deps = d }) e in if Array.length obls = 0 then ( Options.if_verbose ppnl (str "."); declare_definition { prg_name = n ; prg_body = b ; prg_type = t ; prg_obligations = ([||], 0) } ) else ( let len = Array.length obls in let _ = Options.if_verbose ppnl (str ", generating " ++ int len ++ str " obligation(s)") in let obls = init_obls obls in let rem = Array.fold_left (fun acc obl -> if obl.obl_body = None then succ acc else acc) 0 obls in let prg = { prg_name = n ; prg_body = b ; prg_type = t ; prg_obligations = (obls, rem) } in if rem < len then Options.if_verbose ppnl (int rem ++ str " obligation(s) remaining."); if rem = 0 then declare_definition prg else from_prg := ProgMap.add n prg !from_prg) let error s = Util.error s let get_prog name = let prg_infos = !from_prg in match name with Some n -> ProgMap.find n prg_infos | None -> (let n = map_cardinal prg_infos in match n with 0 -> error "No obligations remaining" | 1 -> map_first prg_infos | _ -> error "More than one program with unsolved obligations") let update_obls prg obls rem = let prg' = { prg with prg_obligations = (obls, rem) } in if rem > 1 then ( debug 2 (int rem ++ str " obligations remaining"); from_prg := map_replace prg.prg_name prg' !from_prg) else ( declare_definition prg'; from_prg := ProgMap.remove prg.prg_name !from_prg ) let is_defined obls x = obls.(x).obl_body <> None let deps_remaining obls x = let deps = obls.(x).obl_deps in Intset.fold (fun x acc -> if is_defined obls x then acc else x :: acc) deps [] let subst_deps obls obl = let t' = Intset.fold (fun x acc -> let xobl = obls.(x) in let oblb = out_some xobl.obl_body in Term.subst1 oblb (Term.subst_var xobl.obl_name acc)) obl.obl_deps obl.obl_type in { obl with obl_type = t' } let subtac_obligation (user_num, name) = let num = pred user_num in let prg = get_prog name in let obls, rem = prg.prg_obligations in if num < Array.length obls then let obl = obls.(num) in match obl.obl_body with None -> (match deps_remaining obls num with [] -> let obl = subst_deps obls obl in Command.start_proof obl.obl_name Subtac_utils.goal_proof_kind obl.obl_type (fun strength gr -> debug 2 (str "Proof of obligation " ++ int user_num ++ str " finished"); let obl = { obl with obl_body = Some (Libnames.constr_of_global gr) } in let obls = Array.copy obls in let _ = obls.(num) <- obl in update_obls prg obls (pred rem)); trace (str "Started obligation " ++ int user_num ++ str " proof") | l -> msgnl (str "Obligation " ++ int user_num ++ str " depends on obligation(s) " ++ str (string_of_list ", " (fun x -> string_of_int (succ x)) l))) | Some r -> error "Obligation already solved" else error (sprintf "Unknown obligation number %i" (succ num)) let obligations_of_evars evars = let arr = Array.of_list (List.map (fun (n, t) -> { obl_name = n; obl_type = t; obl_body = None; obl_deps = Intset.empty; }) evars) in arr, Array.length arr let solve_obligations n tac = let prg = get_prog n in let obls, rem = prg.prg_obligations in let rem = ref rem in let obls' = Array.map (fun x -> match x.obl_body with Some _ -> x | None -> try let t = Subtac_utils.solve_by_tac (evar_of_obligation x) tac in decr rem; { x with obl_body = Some t } with _ -> x) obls in update_obls prg obls' !rem open Pp let show_obligations n = let prg = get_prog n in let obls, rem = prg.prg_obligations in msgnl (int rem ++ str " obligation(s) remaining: "); Array.iteri (fun i x -> match x.obl_body with None -> msgnl (int (succ i) ++ str " : " ++ spc () ++ my_print_constr (Global.env ()) x.obl_type) | Some _ -> ()) obls