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|
(************************************************************************)
(* v * The Coq Proof Assistant / The Coq Development Team *)
(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2017 *)
(* \VV/ **************************************************************)
(* // * This file is distributed under the terms of the *)
(* * GNU Lesser General Public License Version 2.1 *)
(************************************************************************)
open EConstr
open CErrors
open Util
open Formula
open Unify
open Globnames
open Pp
let newcnt ()=
let cnt=ref (-1) in
fun b->if b then incr cnt;!cnt
let priority = (* pure heuristics, <=0 for non reversible *)
function
Right rf->
begin
match rf with
Rarrow -> 100
| Rand -> 40
| Ror -> -15
| Rfalse -> -50
| Rforall -> 100
| Rexists (_,_,_) -> -29
end
| Left lf ->
match lf with
Lfalse -> 999
| Land _ -> 90
| Lor _ -> 40
| Lforall (_,_,_) -> -30
| Lexists _ -> 60
| LA(_,lap) ->
match lap with
LLatom -> 0
| LLfalse (_,_) -> 100
| LLand (_,_) -> 80
| LLor (_,_) -> 70
| LLforall _ -> -20
| LLexists (_,_) -> 50
| LLarrow (_,_,_) -> -10
module OrderedFormula=
struct
type t=Formula.t
let compare e1 e2=
(priority e1.pat) - (priority e2.pat)
end
module OrderedConstr=
struct
type t=Term.constr
let compare=Term.compare
end
type h_item = global_reference * (int*Term.constr) option
module Hitem=
struct
type t = h_item
let compare (id1,co1) (id2,co2)=
let c = Globnames.RefOrdered.compare id1 id2 in
if c = 0 then
let cmp (i1, c1) (i2, c2) =
let c = Int.compare i1 i2 in
if c = 0 then OrderedConstr.compare c1 c2 else c
in
Option.compare cmp co1 co2
else c
end
module CM=Map.Make(OrderedConstr)
module History=Set.Make(Hitem)
let cm_add sigma typ nam cm=
let typ = EConstr.to_constr sigma typ in
try
let l=CM.find typ cm in CM.add typ (nam::l) cm
with
Not_found->CM.add typ [nam] cm
let cm_remove sigma typ nam cm=
let typ = EConstr.to_constr sigma typ in
try
let l=CM.find typ cm in
let l0=List.filter (fun id-> not (Globnames.eq_gr id nam)) l in
match l0 with
[]->CM.remove typ cm
| _ ->CM.add typ l0 cm
with Not_found ->cm
module HP=Heap.Functional(OrderedFormula)
type t=
{redexes:HP.t;
context:(global_reference list) CM.t;
latoms:constr list;
gl:types;
glatom:constr option;
cnt:counter;
history:History.t;
depth:int}
let deepen seq={seq with depth=seq.depth-1}
let record item seq={seq with history=History.add item seq.history}
let lookup sigma item seq=
History.mem item seq.history ||
match item with
(_,None)->false
| (id,Some (m, t))->
let p (id2,o)=
match o with
None -> false
| Some (m2, t2)-> Globnames.eq_gr id id2 && m2>m && more_general sigma (m2, EConstr.of_constr t2) (m, EConstr.of_constr t) in
History.exists p seq.history
let add_formula env sigma side nam t seq =
match build_formula env sigma side nam t seq.cnt with
Left f->
begin
match side with
Concl ->
{seq with
redexes=HP.add f seq.redexes;
gl=f.constr;
glatom=None}
| _ ->
{seq with
redexes=HP.add f seq.redexes;
context=cm_add sigma f.constr nam seq.context}
end
| Right t->
match side with
Concl ->
{seq with gl=t;glatom=Some t}
| _ ->
{seq with
context=cm_add sigma t nam seq.context;
latoms=t::seq.latoms}
let re_add_formula_list sigma lf seq=
let do_one f cm=
if f.id == dummy_id then cm
else cm_add sigma f.constr f.id cm in
{seq with
redexes=List.fold_right HP.add lf seq.redexes;
context=List.fold_right do_one lf seq.context}
let find_left sigma t seq=List.hd (CM.find (EConstr.to_constr sigma t) seq.context)
(*let rev_left seq=
try
let lpat=(HP.maximum seq.redexes).pat in
left_reversible lpat
with Heap.EmptyHeap -> false
*)
let rec take_formula sigma seq=
let hd=HP.maximum seq.redexes
and hp=HP.remove seq.redexes in
if hd.id == dummy_id then
let nseq={seq with redexes=hp} in
if seq.gl==hd.constr then
hd,nseq
else
take_formula sigma nseq (* discarding deprecated goal *)
else
hd,{seq with
redexes=hp;
context=cm_remove sigma hd.constr hd.id seq.context}
let empty_seq depth=
{redexes=HP.empty;
context=CM.empty;
latoms=[];
gl=(mkMeta 1);
glatom=None;
cnt=newcnt ();
history=History.empty;
depth=depth}
let expand_constructor_hints =
List.map_append (function
| IndRef ind ->
List.init (Inductiveops.nconstructors ind)
(fun i -> ConstructRef (ind,i+1))
| gr ->
[gr])
let extend_with_ref_list env sigma l seq =
let l = expand_constructor_hints l in
let f gr (seq, sigma) =
let sigma, c = Evd.fresh_global env sigma gr in
let sigma, typ= Typing.type_of env sigma (EConstr.of_constr c) in
(add_formula env sigma Hyp gr typ seq, sigma) in
List.fold_right f l (seq, sigma)
open Hints
let extend_with_auto_hints env sigma l seq =
let seqref=ref seq in
let f p_a_t =
match repr_hint p_a_t.code with
Res_pf (c,_) | Give_exact (c,_)
| Res_pf_THEN_trivial_fail (c,_) ->
let (c, _, _) = c in
(try
let (gr, _) = Termops.global_of_constr sigma c in
let typ=(Typing.unsafe_type_of env sigma c) in
seqref:=add_formula env sigma Hint gr typ !seqref
with Not_found->())
| _-> () in
let g _ _ l = List.iter f l in
let h dbname=
let hdb=
try
searchtable_map dbname
with Not_found->
user_err Pp.(str ("Firstorder: "^dbname^" : No such Hint database")) in
Hint_db.iter g hdb in
List.iter h l;
!seqref, sigma (*FIXME: forgetting about universes*)
let print_cmap map=
let print_entry c l s=
let xc=Constrextern.extern_constr false (Global.env ()) Evd.empty (EConstr.of_constr c) in
str "| " ++
prlist Printer.pr_global l ++
str " : " ++
Ppconstr.pr_constr_expr xc ++
cut () ++
s in
(v 0
(str "-----" ++
cut () ++
CM.fold print_entry map (mt ()) ++
str "-----"))
|
