Source file g_indfun.ml
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# 11 "plugins/funind/g_indfun.mlg"
open Ltac_plugin
open Util
open Pp
open Constrexpr
open Indfun_common
open Indfun
open Stdarg
open Tacarg
open Extraargs
open Tactypes
open Pcoq.Prim
open Pcoq.Constr
open Pltac
let __coq_plugin_name = "funind_plugin"
let _ = Mltop.add_known_module __coq_plugin_name
# 31 "plugins/funind/g_indfun.mlg"
let pr_fun_ind_using env sigma prc prlc _ opt_c =
match opt_c with
| None -> mt ()
| Some b -> spc () ++ hov 2 (str "using" ++ spc () ++ Miscprint.pr_with_bindings (prc env sigma) (prlc env sigma) b)
let pr_fun_ind_using_typed prc prlc _ opt_c =
match opt_c with
| None -> mt ()
| Some b ->
let env = Global.env () in
let evd = Evd.from_env env in
let (_, b) = b env evd in
spc () ++ hov 2 (str "using" ++ spc () ++ Miscprint.pr_with_bindings (prc env evd) (prlc env evd) b)
let (wit_fun_ind_using, fun_ind_using) = Tacentries.argument_extend ~name:"fun_ind_using"
{
Tacentries.arg_parsing = Vernacextend.Arg_rules (
[(Pcoq.Production.make
(Pcoq.Rule.stop)
(fun
loc ->
# 61 "plugins/funind/g_indfun.mlg"
None
));
(Pcoq.Production.make
(Pcoq.Rule.next
(Pcoq.Rule.next
(Pcoq.Rule.stop)
((Pcoq.Symbol.token (CLexer.terminal "using"))))
((Pcoq.Symbol.nterm constr_with_bindings)))
(fun c _
loc ->
# 60 "plugins/funind/g_indfun.mlg"
Some c
))]);
Tacentries.arg_tag = Some
(Geninterp.Val.Opt
(Geninterp.val_tag (Genarg.topwit wit_constr_with_bindings)));
Tacentries.arg_intern = Tacentries.ArgInternWit (Genarg.OptArg
(wit_constr_with_bindings));
Tacentries.arg_subst = Tacentries.ArgSubstWit (Genarg.OptArg
(wit_constr_with_bindings));
Tacentries.arg_interp = Tacentries.ArgInterpWit (Genarg.OptArg
(wit_constr_with_bindings));
Tacentries.arg_printer = ((fun env sigma ->
# 58 "plugins/funind/g_indfun.mlg"
pr_fun_ind_using env sigma
), (fun env sigma ->
# 59 "plugins/funind/g_indfun.mlg"
pr_fun_ind_using env sigma
), (fun env sigma ->
# 57 "plugins/funind/g_indfun.mlg"
pr_fun_ind_using_typed
));
}
let _ = (wit_fun_ind_using, fun_ind_using)
let () = Tacentries.tactic_extend __coq_plugin_name "newfuninv" ~level:0
[(Tacentries.TyML (Tacentries.TyIdent ("functional", Tacentries.TyIdent ("inversion",
Tacentries.TyArg (
Extend.TUentry (Genarg.get_arg_tag wit_quantified_hypothesis),
Tacentries.TyArg (
Extend.TUopt (
Extend.TUentry (Genarg.get_arg_tag wit_reference)),
Tacentries.TyNil)))),
(fun hyp fname ist ->
# 67 "plugins/funind/g_indfun.mlg"
Invfun.invfun hyp fname
)))]
# 72 "plugins/funind/g_indfun.mlg"
let pr_intro_as_pat _prc _ _ pat =
match pat with
| Some pat ->
spc () ++ str "as" ++ spc () ++
str"<simple_intropattern>"
| None -> mt ()
let out_disjunctive = CAst.map (function
| IntroAction (IntroOrAndPattern l) -> l
| _ -> CErrors.user_err Pp.(str "Disjunctive or conjunctive intro pattern expected."))
let (wit_with_names, with_names) = Tacentries.argument_extend ~name:"with_names"
{
Tacentries.arg_parsing = Vernacextend.Arg_rules (
[(Pcoq.Production.make
(Pcoq.Rule.stop)
(fun loc ->
# 89 "plugins/funind/g_indfun.mlg"
None
));
(Pcoq.Production.make
(Pcoq.Rule.next
(Pcoq.Rule.next
(Pcoq.Rule.stop)
((Pcoq.Symbol.token (CLexer.terminal "as"))))
((Pcoq.Symbol.nterm simple_intropattern)))
(fun ipat _
loc ->
# 88 "plugins/funind/g_indfun.mlg"
Some ipat
))]);
Tacentries.arg_tag = Some
(Geninterp.Val.Opt
(Geninterp.val_tag (Genarg.topwit wit_intro_pattern)));
Tacentries.arg_intern = Tacentries.ArgInternWit (Genarg.OptArg
(wit_intro_pattern));
Tacentries.arg_subst = Tacentries.ArgSubstWit (Genarg.OptArg
(wit_intro_pattern));
Tacentries.arg_interp = Tacentries.ArgInterpWit (Genarg.OptArg
(wit_intro_pattern));
Tacentries.arg_printer = ((fun env sigma ->
# 87 "plugins/funind/g_indfun.mlg"
pr_intro_as_pat
), (fun env sigma ->
# 87 "plugins/funind/g_indfun.mlg"
pr_intro_as_pat
), (fun env sigma ->
# 87 "plugins/funind/g_indfun.mlg"
pr_intro_as_pat
));
}
let _ = (wit_with_names, with_names)
# 92 "plugins/funind/g_indfun.mlg"
let functional_induction b c x pat =
functional_induction true c x (Option.map out_disjunctive pat)
let () = Tacentries.tactic_extend __coq_plugin_name "newfunind" ~level:0
[(Tacentries.TyML (Tacentries.TyIdent ("functional", Tacentries.TyIdent ("induction",
Tacentries.TyArg (
Extend.TUentry (Genarg.get_arg_tag wit_lconstr),
Tacentries.TyArg (
Extend.TUentry (Genarg.get_arg_tag wit_fun_ind_using),
Tacentries.TyArg (
Extend.TUentry (Genarg.get_arg_tag wit_with_names),
Tacentries.TyNil))))),
(fun c princl pat ist ->
# 101 "plugins/funind/g_indfun.mlg"
(Ltac_plugin.Internals.onSomeWithHoles
(fun x -> functional_induction true c x pat) princl)
)))]
let () = Tacentries.tactic_extend __coq_plugin_name "snewfunind" ~level:0
[(Tacentries.TyML (Tacentries.TyIdent ("soft", Tacentries.TyIdent ("functional",
Tacentries.TyIdent ("induction",
Tacentries.TyArg (
Extend.TUlist1 (
Extend.TUentry (Genarg.get_arg_tag wit_constr)),
Tacentries.TyArg (
Extend.TUentry (Genarg.get_arg_tag wit_fun_ind_using),
Tacentries.TyArg (
Extend.TUentry (Genarg.get_arg_tag wit_with_names),
Tacentries.TyNil)))))),
(fun cl princl pat ist ->
# 110 "plugins/funind/g_indfun.mlg"
let c = match cl with
| [] -> assert false
| [c] -> c
| c::cl -> EConstr.applist(c,cl)
in
Ltac_plugin.Internals.onSomeWithHoles (fun x -> functional_induction false c x pat) princl
)))]
# 119 "plugins/funind/g_indfun.mlg"
let pr_constr_comma_sequence env sigma prc _ _ = prlist_with_sep pr_comma (prc env sigma)
let (wit_constr_comma_sequence', constr_comma_sequence') = Tacentries.argument_extend ~name:"constr_comma_sequence'"
{
Tacentries.arg_parsing =
Vernacextend.Arg_rules (
[(Pcoq.Production.make
(Pcoq.Rule.next
(Pcoq.Rule.stop)
((Pcoq.Symbol.nterm constr)))
(fun c loc ->
# 129 "plugins/funind/g_indfun.mlg"
[c]
));
(Pcoq.Production.make
(Pcoq.Rule.next
(Pcoq.Rule.next
(Pcoq.Rule.next
(Pcoq.Rule.stop)
((Pcoq.Symbol.nterm constr)))
((Pcoq.Symbol.token (CLexer.terminal ","))))
(Pcoq.Symbol.self))
(fun l _ c loc ->
# 128 "plugins/funind/g_indfun.mlg"
c::l
))]);
Tacentries.arg_tag =
Some
(Geninterp.Val.List
(Geninterp.val_tag (Genarg.topwit wit_constr)));
Tacentries.arg_intern =
Tacentries.ArgInternWit (Genarg.ListArg
(wit_constr));
Tacentries.arg_subst =
Tacentries.ArgSubstWit (Genarg.ListArg
(wit_constr));
Tacentries.arg_interp =
Tacentries.ArgInterpWit (Genarg.ListArg
(wit_constr));
Tacentries.arg_printer =
((fun env sigma ->
# 127 "plugins/funind/g_indfun.mlg"
pr_constr_comma_sequence env sigma
), (fun env sigma ->
# 127 "plugins/funind/g_indfun.mlg"
pr_constr_comma_sequence env sigma
), (fun env sigma ->
# 127 "plugins/funind/g_indfun.mlg"
pr_constr_comma_sequence env sigma
));
}
let _ = (wit_constr_comma_sequence', constr_comma_sequence')
# 132 "plugins/funind/g_indfun.mlg"
let pr_auto_using env sigma prc _prlc _prt = Pptactic.pr_auto_using (prc env sigma)
let (wit_auto_using', auto_using') = Tacentries.argument_extend ~name:"auto_using'"
{
Tacentries.arg_parsing = Vernacextend.Arg_rules (
[(Pcoq.Production.make
(Pcoq.Rule.stop)
(fun loc ->
# 142 "plugins/funind/g_indfun.mlg"
[]
));
(Pcoq.Production.make
(Pcoq.Rule.next
(Pcoq.Rule.next
(Pcoq.Rule.stop)
((Pcoq.Symbol.token (CLexer.terminal "using"))))
((Pcoq.Symbol.nterm constr_comma_sequence')))
(fun l _
loc ->
# 141 "plugins/funind/g_indfun.mlg"
l
))]);
Tacentries.arg_tag = Some
(Geninterp.Val.List
(Geninterp.val_tag (Genarg.topwit wit_constr)));
Tacentries.arg_intern = Tacentries.ArgInternWit (Genarg.ListArg
(wit_constr));
Tacentries.arg_subst = Tacentries.ArgSubstWit (Genarg.ListArg
(wit_constr));
Tacentries.arg_interp = Tacentries.ArgInterpWit (Genarg.ListArg
(wit_constr));
Tacentries.arg_printer = ((fun env sigma ->
# 140 "plugins/funind/g_indfun.mlg"
pr_auto_using env sigma
), (fun env sigma ->
# 140 "plugins/funind/g_indfun.mlg"
pr_auto_using env sigma
), (fun env sigma ->
# 140 "plugins/funind/g_indfun.mlg"
pr_auto_using env sigma
));
}
let _ = (wit_auto_using', auto_using')
# 145 "plugins/funind/g_indfun.mlg"
module Vernac = Pvernac.Vernac_
module Tactic = Pltac
let (wit_function_fix_definition : Vernacexpr.fixpoint_expr Loc.located Genarg.uniform_genarg_type) =
Genarg.create_arg "function_fix_definition"
let function_fix_definition =
Pcoq.create_generic_entry2 "function_fix_definition" (Genarg.rawwit wit_function_fix_definition)
let _ = let () = assert (Pcoq.Entry.is_empty function_fix_definition)
in
let () =
Pcoq.grammar_extend function_fix_definition
(Pcoq.Fresh
(Gramlib.Gramext.First, [(None, None,
[Pcoq.Production.make
(Pcoq.Rule.next (Pcoq.Rule.stop)
((Pcoq.Symbol.nterm Vernac.fix_definition)))
(fun g loc ->
# 162 "plugins/funind/g_indfun.mlg"
Loc.tag ~loc g
)])]))
in ()
# 167 "plugins/funind/g_indfun.mlg"
let () =
let raw_printer env sigma _ _ _ (loc,body) = Ppvernac.pr_rec_definition body in
Pptactic.declare_extra_vernac_genarg_pprule wit_function_fix_definition raw_printer
let is_proof_termination_interactively_checked recsl =
List.exists (function
| _,( Vernacexpr.{ rec_order = Some { CAst.v = CMeasureRec _ } }
| Vernacexpr.{ rec_order = Some { CAst.v = CWfRec _} }) -> true
| _, Vernacexpr.{ rec_order = Some { CAst.v = CStructRec _ } }
| _, Vernacexpr.{ rec_order = None } -> false) recsl
let classify_as_Fixpoint recsl =
Vernac_classifier.classify_vernac
(Vernacexpr.(CAst.make @@ { control = []; attrs = []; expr = VernacFixpoint(NoDischarge, List.map snd recsl)}))
let classify_funind recsl =
match classify_as_Fixpoint recsl with
| Vernacextend.VtSideff (ids, _)
when is_proof_termination_interactively_checked recsl ->
Vernacextend.(VtStartProof (GuaranteesOpacity, ids))
| x -> x
let is_interactive recsl =
match classify_funind recsl with
| Vernacextend.VtStartProof _ -> true
| _ -> false
let () = Vernacextend.vernac_extend ~command:"Function" ?entry:None
[(Vernacextend.TyML (false, Vernacextend.TyTerminal ("Function",
Vernacextend.TyNonTerminal (Extend.TUlist1sep (
Extend.TUentry (Genarg.get_arg_tag wit_function_fix_definition), "with"),
Vernacextend.TyNil)), (let coqpp_body recsl
() =
# 210 "plugins/funind/g_indfun.mlg"
let warn = "-unused-pattern-matching-variable,-matching-variable,-non-recursive" in
if is_interactive recsl then
Vernacextend.vtopenproof (fun () ->
CWarnings.with_warn warn
Gen_principle.do_generate_principle_interactive (List.map snd recsl))
else
Vernacextend.vtdefault (fun () ->
CWarnings.with_warn warn
Gen_principle.do_generate_principle (List.map snd recsl))
in fun recsl
?loc ~atts ()
-> coqpp_body recsl
(Attributes.unsupported_attributes atts)), Some
(fun recsl ->
# 209 "plugins/funind/g_indfun.mlg"
classify_funind recsl
)))]
# 223 "plugins/funind/g_indfun.mlg"
let pr_fun_scheme_arg (princ_name,fun_name,s) =
Names.Id.print princ_name ++ str " :=" ++ spc() ++ str "Induction for " ++
Libnames.pr_qualid fun_name ++ spc() ++ str "Sort " ++
Sorts.pr_sort_family s
let (wit_fun_scheme_arg, fun_scheme_arg) = Vernacextend.vernac_argument_extend ~name:"fun_scheme_arg"
{
Vernacextend.arg_parsing =
Vernacextend.Arg_rules ([(
Pcoq.Production.make
(Pcoq.Rule.next
(Pcoq.Rule.next
(Pcoq.Rule.next
(Pcoq.Rule.next
(Pcoq.Rule.next
(Pcoq.Rule.next
(Pcoq.Rule.next
(Pcoq.Rule.stop)
((Pcoq.Symbol.nterm identref)))
((Pcoq.Symbol.token (CLexer.terminal ":="))))
((Pcoq.Symbol.token (CLexer.terminal "Induction"))))
((Pcoq.Symbol.token (CLexer.terminal "for"))))
((Pcoq.Symbol.nterm reference)))
((Pcoq.Symbol.token (CLexer.terminal "Sort"))))
((Pcoq.Symbol.nterm sort_family)))
(fun s _
fun_name _
_ _
princ_name
loc ->
# 234 "plugins/funind/g_indfun.mlg"
(princ_name.CAst.v,fun_name,s)
))]);
Vernacextend.arg_printer = fun env sigma ->
# 233 "plugins/funind/g_indfun.mlg"
pr_fun_scheme_arg
;
}
let _ = (wit_fun_scheme_arg, fun_scheme_arg)
# 237 "plugins/funind/g_indfun.mlg"
let warning_error names e =
match e with
| Building_graph e ->
let names = pr_enum Libnames.pr_qualid names in
let error = if do_observe () then (spc () ++ CErrors.print e) else mt () in
Gen_principle.warn_cannot_define_graph (names,error)
| Defining_principle e ->
let names = pr_enum Libnames.pr_qualid names in
let error = if do_observe () then CErrors.print e else mt () in
Gen_principle.warn_cannot_define_principle (names,error)
| _ -> raise e
let () = Vernacextend.vernac_extend ~command:"NewFunctionalScheme" ?entry:None
[(Vernacextend.TyML (false, Vernacextend.TyTerminal ("Functional",
Vernacextend.TyTerminal ("Scheme",
Vernacextend.TyNonTerminal (Extend.TUlist1sep (
Extend.TUentry (Genarg.get_arg_tag wit_fun_scheme_arg), "with"),
Vernacextend.TyNil))), (let coqpp_body fas
() = Vernacextend.vtdefault (fun () ->
# 257 "plugins/funind/g_indfun.mlg"
begin
try
Gen_principle.build_scheme fas
with
| Gen_principle.No_graph_found ->
begin
match fas with
| (_,fun_name,_)::_ ->
begin
Gen_principle.make_graph (Smartlocate.global_with_alias fun_name);
try Gen_principle.build_scheme fas
with
| Gen_principle.No_graph_found ->
CErrors.user_err Pp.(str "Cannot generate induction principle(s)")
| e when CErrors.noncritical e ->
let names = List.map (fun (_,na,_) -> na) fas in
warning_error names e
end
| _ -> assert false
end
| e when CErrors.noncritical e ->
let names = List.map (fun (_,na,_) -> na) fas in
warning_error names e
end
) in fun fas
?loc ~atts ()
-> coqpp_body fas
(Attributes.unsupported_attributes atts)), Some
(fun fas ->
# 255 "plugins/funind/g_indfun.mlg"
Vernacextend.(VtSideff(List.map pi1 fas, VtLater))
)))]
let () = Vernacextend.vernac_extend ~command:"NewFunctionalCase" ?entry:None
[(Vernacextend.TyML (false, Vernacextend.TyTerminal ("Functional",
Vernacextend.TyTerminal ("Case",
Vernacextend.TyNonTerminal (Extend.TUentry (Genarg.get_arg_tag wit_fun_scheme_arg),
Vernacextend.TyNil))), (let coqpp_body fas
() = Vernacextend.vtdefault (fun () ->
# 288 "plugins/funind/g_indfun.mlg"
Gen_principle.build_case_scheme fas
) in fun fas
?loc ~atts ()
-> coqpp_body fas
(Attributes.unsupported_attributes atts)), Some
(fun fas ->
# 287 "plugins/funind/g_indfun.mlg"
Vernacextend.(VtSideff([pi1 fas], VtLater))
)))]
let () = Vernacextend.vernac_extend ~command:"GenerateGraph" ~classifier:(fun _ -> Vernacextend.classify_as_query) ?entry:None
[(Vernacextend.TyML (false, Vernacextend.TyTerminal ("Generate",
Vernacextend.TyTerminal ("graph",
Vernacextend.TyTerminal ("for",
Vernacextend.TyNonTerminal (Extend.TUentry (Genarg.get_arg_tag wit_reference),
Vernacextend.TyNil)))), (let coqpp_body c
() = Vernacextend.vtdefault (fun () ->
# 294 "plugins/funind/g_indfun.mlg"
Gen_principle.make_graph (Smartlocate.global_with_alias c)
) in fun c
?loc ~atts ()
-> coqpp_body c
(Attributes.unsupported_attributes atts)), None))]