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|
(***********************************************************************)
(* v * The Coq Proof Assistant / The Coq Development Team *)
(* <O___,, * INRIA-Rocquencourt & LRI-CNRS-Orsay *)
(* \VV/ *************************************************************)
(* // * This file is distributed under the terms of the *)
(* * GNU Lesser General Public License Version 2.1 *)
(***********************************************************************)
(* $Id$ *)
open Hipattern
open Names
open Term
open Termops
open Reductionops
open Tacmach
open Util
open Declarations
open Libnames
let qflag=ref true
let (+-) i j=if i=0 then j else i
type ('a,'b)sum=Left of 'a|Right of 'b
type kind_of_formula=
Arrow of constr*constr
|And of inductive*constr list
|Or of inductive*constr list
|Exists of inductive*constr*constr*constr
|Forall of constr*constr
|Atom of constr
|Evaluable of evaluable_global_reference*constr
|False
type counter = bool -> int
let constant path str ()=Coqlib.gen_constant "User" ["Init";path] str
let op2bool=function Some _->true |None->false
let id_ex=constant "Logic" "ex"
let id_sig=constant "Specif" "sig"
let id_sigT=constant "Specif" "sigT"
let id_sigS=constant "Specif" "sigS"
let id_not=constant "Logic" "not"
let id_iff=constant "Logic" "iff"
let is_ex t =
t=(id_ex ()) ||
t=(id_sig ()) ||
t=(id_sigT ()) ||
t=(id_sigS ())
let match_with_exist_term t=
match kind_of_term t with
App(t,v)->
if t=id_ex () && (Array.length v)=2 then
let p=v.(1) in
match kind_of_term p with
Lambda(na,a,b)->Some(t,a,b,p)
| _ ->Some(t,v.(0),mkApp(p,[|mkRel 1|]),p)
else None
| _->None
let match_with_evaluable t=
match kind_of_term t with
App (hd,b)->
if (hd=id_not () && (Array.length b) = 1) ||
(hd=id_iff () && (Array.length b) = 2) then
Some(destConst hd,t)
else None
| _-> None
let rec nb_prod_after n c=
match kind_of_term c with
| Prod (_,_,b) ->if n>0 then nb_prod_after (n-1) b else
1+(nb_prod_after 0 b)
| _ -> 0
let nhyps mip =
let constr_types = mip.mind_nf_lc in
let hyp = nb_prod_after mip.mind_nparams in
Array.map hyp constr_types
let construct_nhyps ind= nhyps (snd (Global.lookup_inductive ind))
exception Dependent_Inductive
(* builds the array of arrays of constructor hyps for (ind Vargs)*)
let ind_hyps ind largs=
let (mib,mip) = Global.lookup_inductive ind in
let n = mip.mind_nparams in
if n<>(List.length largs) then
raise Dependent_Inductive
else
let p=nhyps mip in
let lp=Array.length p in
let types= mip.mind_nf_lc in
let myhyps i=
let t1=Term.prod_applist types.(i) largs in
fst (Sign.decompose_prod_n_assum p.(i) t1) in
Array.init lp myhyps
let kind_of_formula cciterm =
match match_with_imp_term cciterm with
Some (a,b)-> Arrow(a,(pop b))
|_->
match match_with_forall_term cciterm with
Some (_,a,b)-> Forall(a,b)
|_->
match match_with_exist_term cciterm with
Some (i,a,b,p)-> Exists((destInd i),a,b,p)
|_->
match match_with_nodep_ind cciterm with
Some (i,l)->
let ind=destInd i in
let (mib,mip) = Global.lookup_inductive ind in
if Inductiveops.mis_is_recursive (ind,mib,mip) then
Atom cciterm
else
(match Array.length mip.mind_consnames with
0->False
| 1->And(ind,l)
| _->Or(ind,l))
| None ->
match match_with_evaluable cciterm with
Some (cst,t)->Evaluable ((EvalConstRef cst),t)
| None ->Atom cciterm
let build_atoms gl metagen=
let rec build_rec env polarity cciterm =
match kind_of_formula cciterm with
False->[]
| Arrow (a,b)->
(build_rec env (not polarity) a)@
(build_rec env polarity b)
| And(i,l) | Or(i,l)->
(try
let v = ind_hyps i l in
let g i accu (_,_,t) =
(build_rec env polarity (lift i t))@accu in
let f l accu =
list_fold_left_i g (1-(List.length l)) accu l in
Array.fold_right f v []
with Dependent_Inductive ->
[polarity,(substnl env 0 cciterm)])
| Forall(_,b)|Exists(_,_,b,_)->
let var=mkMeta (metagen true) in
build_rec (var::env) polarity b
| Atom t->
[polarity,(substnl env 0 cciterm)]
| Evaluable(ec,t)->
let nt=Tacred.unfoldn [[1],ec] (pf_env gl) (Refiner.sig_sig gl) t in
build_rec env polarity nt
in build_rec []
type right_pattern =
Rand
| Ror
| Rforall
| Rexists of int*constr
| Rarrow
| Revaluable of evaluable_global_reference
type right_formula =
Complex of right_pattern*constr*((bool*constr) list)
| Atomic of constr
type left_arrow_pattern=
LLatom
| LLfalse
| LLand of inductive*constr list
| LLor of inductive*constr list
| LLforall of constr
| LLexists of inductive*constr*constr*constr
| LLarrow of constr*constr*constr
| LLevaluable of evaluable_global_reference
type left_pattern=
Lfalse
| Land of inductive
| Lor of inductive
| Lforall of int*constr
| Lexists
| Levaluable of evaluable_global_reference
| LA of constr*left_arrow_pattern
type left_formula={id:global_reference;
constr:constr;
pat:left_pattern;
atoms:(bool*constr) list;
internal:bool}
exception Is_atom of constr
let build_left_entry nam typ internal gl metagen=
try
let pattern=
match kind_of_formula typ with
False -> Lfalse
| Atom a -> raise (Is_atom a)
| And(i,_) -> Land i
| Or(i,_) -> Lor i
| Exists (_,_,_,_) -> Lexists
| Forall (d,_) -> let m=1+(metagen false) in Lforall(m,d)
| Evaluable (egc,_) ->Levaluable egc
| Arrow (a,b) ->LA (a,
match kind_of_formula a with
False-> LLfalse
| Atom t-> LLatom
| And(i,l)-> LLand(i,l)
| Or(i,l)-> LLor(i,l)
| Arrow(a,c)-> LLarrow(a,c,b)
| Exists(i,a,_,p)->LLexists(i,a,p,b)
| Forall(_,_)->LLforall a
| Evaluable (egc,_)-> LLevaluable egc) in
let l=
if !qflag then
build_atoms gl metagen false typ
else [] in
Left {id=nam;
constr=typ;
pat=pattern;
atoms=l;
internal=internal}
with Is_atom a-> Right a
let build_right_entry typ gl metagen=
try
let pattern=
match kind_of_formula typ with
False -> raise (Is_atom typ)
| Atom a -> raise (Is_atom a)
| And(_,_) -> Rand
| Or(_,_) -> Ror
| Exists (_,d,_,_) ->
let m=1+(metagen false) in Rexists(m,d)
| Forall (_,a) -> Rforall
| Arrow (a,b) -> Rarrow
| Evaluable (egc,_)->Revaluable egc in
let l=
if !qflag then
build_atoms gl metagen true typ
else [] in
Complex(pattern,typ,l)
with Is_atom a-> Atomic a
|
