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-rw-r--r--plugins/extraction/ExtrOCamlFloats.v61
-rw-r--r--plugins/extraction/extraction.ml3
-rw-r--r--plugins/extraction/haskell.ml2
-rw-r--r--plugins/extraction/json.ml4
-rw-r--r--plugins/extraction/miniml.ml3
-rw-r--r--plugins/extraction/miniml.mli1
-rw-r--r--plugins/extraction/mlutil.ml19
-rw-r--r--plugins/extraction/modutil.ml2
-rw-r--r--plugins/extraction/ocaml.ml3
-rw-r--r--plugins/extraction/scheme.ml2
-rw-r--r--plugins/funind/functional_principles_proofs.ml5
-rw-r--r--plugins/funind/gen_principle.ml2
-rw-r--r--plugins/funind/glob_term_to_relation.ml5
-rw-r--r--plugins/funind/glob_termops.ml7
-rw-r--r--plugins/funind/recdef.ml4
-rw-r--r--plugins/micromega/DeclConstant.v4
-rw-r--r--plugins/micromega/Lia.v2
-rw-r--r--plugins/micromega/RMicromega.v7
-rw-r--r--plugins/micromega/VarMap.v2
-rw-r--r--plugins/micromega/ZCoeff.v3
-rw-r--r--plugins/micromega/ZMicromega.v3
-rw-r--r--plugins/ssr/ssrclasses.v32
-rw-r--r--plugins/ssr/ssreflect.v112
-rw-r--r--plugins/ssr/ssreflect_plugin.mlpack1
-rw-r--r--plugins/ssr/ssrequality.mli3
-rw-r--r--plugins/ssr/ssrfwd.ml42
-rw-r--r--plugins/ssr/ssrsetoid.v122
-rw-r--r--plugins/ssr/ssrunder.v75
-rw-r--r--plugins/ssrmatching/ssrmatching.ml2
-rw-r--r--plugins/syntax/float_syntax.ml50
-rw-r--r--plugins/syntax/float_syntax_plugin.mlpack1
-rw-r--r--plugins/syntax/plugin_base.dune7
32 files changed, 452 insertions, 139 deletions
diff --git a/plugins/extraction/ExtrOCamlFloats.v b/plugins/extraction/ExtrOCamlFloats.v
new file mode 100644
index 0000000000..1891772cc2
--- /dev/null
+++ b/plugins/extraction/ExtrOCamlFloats.v
@@ -0,0 +1,61 @@
+(************************************************************************)
+(* * The Coq Proof Assistant / The Coq Development Team *)
+(* v * INRIA, CNRS and contributors - Copyright 1999-2019 *)
+(* <O___,, * (see CREDITS file for the list of authors) *)
+(* \VV/ **************************************************************)
+(* // * This file is distributed under the terms of the *)
+(* * GNU Lesser General Public License Version 2.1 *)
+(* * (see LICENSE file for the text of the license) *)
+(************************************************************************)
+
+(** Extraction to OCaml of native binary64 floating-point numbers.
+
+Note: the extraction of primitive floats relies on Coq's internal file
+kernel/float64.ml, so make sure the corresponding binary is available
+when linking the extracted OCaml code.
+
+For example, if you build a (_CoqProject + coq_makefile)-based project
+and if you created an empty subfolder "extracted" and a file "test.v"
+containing [Cd "extracted". Separate Extraction function_to_extract.],
+you will just need to add in the _CoqProject: [test.v], [-I extracted]
+and the list of [extracted/*.ml] and [extracted/*.mli] files, then add
+[CAMLFLAGS += -w -33] in the Makefile.local file. *)
+
+From Coq Require Floats Extraction.
+
+(** Basic data types used by some primitive operators. *)
+
+Extract Inductive bool => bool [ true false ].
+Extract Inductive prod => "( * )" [ "" ].
+
+Extract Inductive FloatClass.float_class =>
+ "Float64.float_class"
+ [ "PNormal" "NNormal" "PSubn" "NSubn" "PZero" "NZero" "PInf" "NInf" "NaN" ].
+Extract Inductive PrimFloat.float_comparison =>
+ "Float64.float_comparison"
+ [ "FEq" "FLt" "FGt" "FNotComparable" ].
+
+(** Primitive types and operators. *)
+
+Extract Constant PrimFloat.float => "Float64.t".
+Extraction Inline PrimFloat.float.
+(* Otherwise, the name conflicts with the primitive OCaml type [float] *)
+
+Extract Constant PrimFloat.classify => "Float64.classify".
+Extract Constant PrimFloat.abs => "Float64.abs".
+Extract Constant PrimFloat.sqrt => "Float64.sqrt".
+Extract Constant PrimFloat.opp => "Float64.opp".
+Extract Constant PrimFloat.eqb => "Float64.eq".
+Extract Constant PrimFloat.ltb => "Float64.lt".
+Extract Constant PrimFloat.leb => "Float64.le".
+Extract Constant PrimFloat.compare => "Float64.compare".
+Extract Constant PrimFloat.mul => "Float64.mul".
+Extract Constant PrimFloat.add => "Float64.add".
+Extract Constant PrimFloat.sub => "Float64.sub".
+Extract Constant PrimFloat.div => "Float64.div".
+Extract Constant PrimFloat.of_int63 => "Float64.of_int63".
+Extract Constant PrimFloat.normfr_mantissa => "Float64.normfr_mantissa".
+Extract Constant PrimFloat.frshiftexp => "Float64.frshiftexp".
+Extract Constant PrimFloat.ldshiftexp => "Float64.ldshiftexp".
+Extract Constant PrimFloat.next_up => "Float64.next_up".
+Extract Constant PrimFloat.next_down => "Float64.next_down".
diff --git a/plugins/extraction/extraction.ml b/plugins/extraction/extraction.ml
index cca212f332..04f5b66241 100644
--- a/plugins/extraction/extraction.ml
+++ b/plugins/extraction/extraction.ml
@@ -351,7 +351,7 @@ let rec extract_type env sg db j c args =
| (Info, TypeScheme) ->
extract_type_app env sg db (r, type_sign env sg ty) args
| (Info, Default) -> Tunknown))
- | Cast _ | LetIn _ | Construct _ | Int _ -> assert false
+ | Cast _ | LetIn _ | Construct _ | Int _ | Float _ -> assert false
(*s Auxiliary function dealing with type application.
Precondition: [r] is a type scheme represented by the signature [s],
@@ -690,6 +690,7 @@ let rec extract_term env sg mle mlt c args =
let extract_var mlt = put_magic (mlt,vty) (MLglob (GlobRef.VarRef v)) in
extract_app env sg mle mlt extract_var args
| Int i -> assert (args = []); MLuint i
+ | Float f -> assert (args = []); MLfloat f
| Ind _ | Prod _ | Sort _ -> assert false
(*s [extract_maybe_term] is [extract_term] for usual terms, else [MLdummy] *)
diff --git a/plugins/extraction/haskell.ml b/plugins/extraction/haskell.ml
index e4efbcff0c..4769bef475 100644
--- a/plugins/extraction/haskell.ml
+++ b/plugins/extraction/haskell.ml
@@ -215,6 +215,8 @@ let rec pp_expr par env args =
| MLaxiom -> pp_par par (str "Prelude.error \"AXIOM TO BE REALIZED\"")
| MLuint _ ->
pp_par par (str "Prelude.error \"EXTRACTION OF UINT NOT IMPLEMENTED\"")
+ | MLfloat _ ->
+ pp_par par (str "Prelude.error \"EXTRACTION OF FLOAT NOT IMPLEMENTED\"")
and pp_cons_pat par r ppl =
pp_par par
diff --git a/plugins/extraction/json.ml b/plugins/extraction/json.ml
index 912a20f389..81b3e1bcdc 100644
--- a/plugins/extraction/json.ml
+++ b/plugins/extraction/json.ml
@@ -161,6 +161,10 @@ let rec json_expr env = function
("what", json_str "expr:int");
("int", json_str (Uint63.to_string i))
]
+ | MLfloat f -> json_dict [
+ ("what", json_str "expr:float");
+ ("float", json_str (Float64.to_string f))
+ ]
and json_one_pat env (ids,p,t) =
let ids', env' = push_vars (List.rev_map id_of_mlid ids) env in json_dict [
diff --git a/plugins/extraction/miniml.ml b/plugins/extraction/miniml.ml
index 8b69edbe4c..32e0d3c05d 100644
--- a/plugins/extraction/miniml.ml
+++ b/plugins/extraction/miniml.ml
@@ -126,7 +126,8 @@ and ml_ast =
| MLdummy of kill_reason
| MLaxiom
| MLmagic of ml_ast
- | MLuint of Uint63.t
+ | MLuint of Uint63.t
+ | MLfloat of Float64.t
and ml_pattern =
| Pcons of GlobRef.t * ml_pattern list
diff --git a/plugins/extraction/miniml.mli b/plugins/extraction/miniml.mli
index e3c9635c55..32e0d3c05d 100644
--- a/plugins/extraction/miniml.mli
+++ b/plugins/extraction/miniml.mli
@@ -127,6 +127,7 @@ and ml_ast =
| MLaxiom
| MLmagic of ml_ast
| MLuint of Uint63.t
+ | MLfloat of Float64.t
and ml_pattern =
| Pcons of GlobRef.t * ml_pattern list
diff --git a/plugins/extraction/mlutil.ml b/plugins/extraction/mlutil.ml
index 000df26858..44b95ae4c1 100644
--- a/plugins/extraction/mlutil.ml
+++ b/plugins/extraction/mlutil.ml
@@ -398,6 +398,7 @@ let rec eq_ml_ast t1 t2 = match t1, t2 with
| MLaxiom, MLaxiom -> true
| MLmagic t1, MLmagic t2 -> eq_ml_ast t1 t2
| MLuint i1, MLuint i2 -> Uint63.equal i1 i2
+| MLfloat f1, MLfloat f2 -> Float64.equal f1 f2
| _, _ -> false
and eq_ml_pattern p1 p2 = match p1, p2 with
@@ -430,7 +431,7 @@ let ast_iter_rel f =
| MLapp (a,l) -> iter n a; List.iter (iter n) l
| MLcons (_,_,l) | MLtuple l -> List.iter (iter n) l
| MLmagic a -> iter n a
- | MLglob _ | MLexn _ | MLdummy _ | MLaxiom | MLuint _ -> ()
+ | MLglob _ | MLexn _ | MLdummy _ | MLaxiom | MLuint _ | MLfloat _ -> ()
in iter 0
(*s Map over asts. *)
@@ -449,7 +450,8 @@ let ast_map f = function
| MLcons (typ,c,l) -> MLcons (typ,c, List.map f l)
| MLtuple l -> MLtuple (List.map f l)
| MLmagic a -> MLmagic (f a)
- | MLrel _ | MLglob _ | MLexn _ | MLdummy _ | MLaxiom | MLuint _ as a -> a
+ | MLrel _ | MLglob _ | MLexn _ | MLdummy _ | MLaxiom
+ | MLuint _ | MLfloat _ as a -> a
(*s Map over asts, with binding depth as parameter. *)
@@ -467,7 +469,8 @@ let ast_map_lift f n = function
| MLcons (typ,c,l) -> MLcons (typ,c, List.map (f n) l)
| MLtuple l -> MLtuple (List.map (f n) l)
| MLmagic a -> MLmagic (f n a)
- | MLrel _ | MLglob _ | MLexn _ | MLdummy _ | MLaxiom | MLuint _ as a -> a
+ | MLrel _ | MLglob _ | MLexn _ | MLdummy _ | MLaxiom
+ | MLuint _ | MLfloat _ as a -> a
(*s Iter over asts. *)
@@ -481,7 +484,8 @@ let ast_iter f = function
| MLapp (a,l) -> f a; List.iter f l
| MLcons (_,_,l) | MLtuple l -> List.iter f l
| MLmagic a -> f a
- | MLrel _ | MLglob _ | MLexn _ | MLdummy _ | MLaxiom | MLuint _ -> ()
+ | MLrel _ | MLglob _ | MLexn _ | MLdummy _ | MLaxiom
+ | MLuint _ | MLfloat _ -> ()
(*S Operations concerning De Bruijn indices. *)
@@ -517,7 +521,7 @@ let nb_occur_match =
| MLapp (a,l) -> List.fold_left (fun r a -> r+(nb k a)) (nb k a) l
| MLcons (_,_,l) | MLtuple l -> List.fold_left (fun r a -> r+(nb k a)) 0 l
| MLmagic a -> nb k a
- | MLglob _ | MLexn _ | MLdummy _ | MLaxiom | MLuint _ -> 0
+ | MLglob _ | MLexn _ | MLdummy _ | MLaxiom | MLuint _ | MLfloat _ -> 0
in nb 1
(* Replace unused variables by _ *)
@@ -569,7 +573,7 @@ let dump_unused_vars a =
let b' = ren env b in
if b' == b then a else MLmagic b'
- | MLglob _ | MLexn _ | MLdummy _ | MLaxiom | MLuint _ -> a
+ | MLglob _ | MLexn _ | MLdummy _ | MLaxiom | MLuint _ | MLfloat _ -> a
and ren_branch env ((ids,p,b) as tr) =
let occs = List.map (fun _ -> ref false) ids in
@@ -1402,7 +1406,8 @@ let rec ml_size = function
| MLfix(_,_,f) -> ml_size_array f
| MLletin (_,_,t) -> ml_size t
| MLmagic t -> ml_size t
- | MLglob _ | MLrel _ | MLexn _ | MLdummy _ | MLaxiom | MLuint _ -> 0
+ | MLglob _ | MLrel _ | MLexn _ | MLdummy _ | MLaxiom
+ | MLuint _ | MLfloat _ -> 0
and ml_size_list l = List.fold_left (fun a t -> a + ml_size t) 0 l
diff --git a/plugins/extraction/modutil.ml b/plugins/extraction/modutil.ml
index 6b1eef7abb..fe49bfc1ec 100644
--- a/plugins/extraction/modutil.ml
+++ b/plugins/extraction/modutil.ml
@@ -107,7 +107,7 @@ let ast_iter_references do_term do_cons do_type a =
Array.iter (fun (_,p,_) -> patt_iter_references do_cons p) v
| MLrel _ | MLlam _ | MLapp _ | MLletin _ | MLtuple _ | MLfix _ | MLexn _
- | MLdummy _ | MLaxiom | MLmagic _ | MLuint _ -> ()
+ | MLdummy _ | MLaxiom | MLmagic _ | MLuint _ | MLfloat _ -> ()
in iter a
let ind_iter_references do_term do_cons do_type kn ind =
diff --git a/plugins/extraction/ocaml.ml b/plugins/extraction/ocaml.ml
index e7004fe9af..34ddf57b40 100644
--- a/plugins/extraction/ocaml.ml
+++ b/plugins/extraction/ocaml.ml
@@ -307,6 +307,9 @@ let rec pp_expr par env args =
| MLuint i ->
assert (args=[]);
str "(" ++ str (Uint63.compile i) ++ str ")"
+ | MLfloat f ->
+ assert (args=[]);
+ str "(" ++ str (Float64.compile f) ++ str ")"
and pp_record_proj par env typ t pv args =
diff --git a/plugins/extraction/scheme.ml b/plugins/extraction/scheme.ml
index dd840cd929..c341ec8d57 100644
--- a/plugins/extraction/scheme.ml
+++ b/plugins/extraction/scheme.ml
@@ -131,6 +131,8 @@ let rec pp_expr env args =
| MLaxiom -> paren (str "error \"AXIOM TO BE REALIZED\"")
| MLuint _ ->
paren (str "Prelude.error \"EXTRACTION OF UINT NOT IMPLEMENTED\"")
+ | MLfloat _ ->
+ paren (str "Prelude.error \"EXTRACTION OF FLOAT NOT IMPLEMENTED\"")
and pp_cons_args env = function
| MLcons (_,r,args) when is_coinductive r ->
diff --git a/plugins/funind/functional_principles_proofs.ml b/plugins/funind/functional_principles_proofs.ml
index 7be049269c..6db0a1119b 100644
--- a/plugins/funind/functional_principles_proofs.ml
+++ b/plugins/funind/functional_principles_proofs.ml
@@ -692,13 +692,14 @@ let build_proof
end
| Cast(t,_,_) ->
build_proof do_finalize {dyn_infos with info = t} g
- | Const _ | Var _ | Meta _ | Evar _ | Sort _ | Construct _ | Ind _ | Int _ ->
+ | Const _ | Var _ | Meta _ | Evar _ | Sort _ | Construct _ | Ind _ | Int _ | Float _ ->
do_finalize dyn_infos g
| App(_,_) ->
let f,args = decompose_app sigma dyn_infos.info in
begin
match EConstr.kind sigma f with
- | Int _ -> user_err Pp.(str "integer cannot be applied")
+ | Int _ -> user_err Pp.(str "integer cannot be applied")
+ | Float _ -> user_err Pp.(str "float cannot be applied")
| App _ -> assert false (* we have collected all the app in decompose_app *)
| Proj _ -> assert false (*FIXME*)
| Var _ | Construct _ | Rel _ | Evar _ | Meta _ | Ind _ | Sort _ | Prod _ ->
diff --git a/plugins/funind/gen_principle.ml b/plugins/funind/gen_principle.ml
index 0452665585..6add56dd5b 100644
--- a/plugins/funind/gen_principle.ml
+++ b/plugins/funind/gen_principle.ml
@@ -68,7 +68,7 @@ let is_rec names =
let check_id id names = Id.Set.mem id names in
let rec lookup names gt = match DAst.get gt with
| GVar(id) -> check_id id names
- | GRef _ | GEvar _ | GPatVar _ | GSort _ | GHole _ | GInt _ -> false
+ | GRef _ | GEvar _ | GPatVar _ | GSort _ | GHole _ | GInt _ | GFloat _ -> false
| GCast(b,_) -> lookup names b
| GRec _ -> CErrors.user_err (Pp.str "GRec not handled")
| GIf(b,_,lhs,rhs) ->
diff --git a/plugins/funind/glob_term_to_relation.ml b/plugins/funind/glob_term_to_relation.ml
index 7c17ecdba0..895b6a37ee 100644
--- a/plugins/funind/glob_term_to_relation.ml
+++ b/plugins/funind/glob_term_to_relation.ml
@@ -478,7 +478,7 @@ let rec build_entry_lc env sigma funnames avoid rt : glob_constr build_entry_ret
observe (str " Entering : " ++ Printer.pr_glob_constr_env env rt);
let open CAst in
match DAst.get rt with
- | GRef _ | GVar _ | GEvar _ | GPatVar _ | GSort _ | GHole _ | GInt _ ->
+ | GRef _ | GVar _ | GEvar _ | GPatVar _ | GSort _ | GHole _ | GInt _ | GFloat _ ->
(* do nothing (except changing type of course) *)
mk_result [] rt avoid
| GApp(_,_) ->
@@ -590,6 +590,7 @@ let rec build_entry_lc env sigma funnames avoid rt : glob_constr build_entry_ret
| GRec _ -> user_err Pp.(str "Not handled GRec")
| GProd _ -> user_err Pp.(str "Cannot apply a type")
| GInt _ -> user_err Pp.(str "Cannot apply an integer")
+ | GFloat _ -> user_err Pp.(str "Cannot apply a float")
end (* end of the application treatement *)
| GLambda(n,_,t,b) ->
@@ -1231,7 +1232,7 @@ let rebuild_cons env nb_args relname args crossed_types rt =
TODO: Find a valid way to deal with implicit arguments here!
*)
let rec compute_cst_params relnames params gt = DAst.with_val (function
- | GRef _ | GVar _ | GEvar _ | GPatVar _ | GInt _ -> params
+ | GRef _ | GVar _ | GEvar _ | GPatVar _ | GInt _ | GFloat _ -> params
| GApp(f,args) ->
begin match DAst.get f with
| GVar relname' when Id.Set.mem relname' relnames ->
diff --git a/plugins/funind/glob_termops.ml b/plugins/funind/glob_termops.ml
index 8abccabae6..5f54bad598 100644
--- a/plugins/funind/glob_termops.ml
+++ b/plugins/funind/glob_termops.ml
@@ -115,6 +115,7 @@ let change_vars =
| GSort _ as x -> x
| GHole _ as x -> x
| GInt _ as x -> x
+ | GFloat _ as x -> x
| GCast(b,c) ->
GCast(change_vars mapping b,
Glob_ops.map_cast_type (change_vars mapping) c)
@@ -295,6 +296,7 @@ let rec alpha_rt excluded rt =
| GRec _ -> user_err Pp.(str "Not handled GRec")
| GSort _
| GInt _
+ | GFloat _
| GHole _ as rt -> rt
| GCast (b,c) ->
GCast(alpha_rt excluded b,
@@ -354,7 +356,7 @@ let is_free_in id =
| GHole _ -> false
| GCast (b,(CastConv t|CastVM t|CastNative t)) -> is_free_in b || is_free_in t
| GCast (b,CastCoerce) -> is_free_in b
- | GInt _ -> false
+ | GInt _ | GFloat _ -> false
) x
and is_free_in_br {CAst.v=(ids,_,rt)} =
(not (Id.List.mem id ids)) && is_free_in rt
@@ -447,6 +449,7 @@ let replace_var_by_term x_id term =
| GSort _
| GHole _ as rt -> rt
| GInt _ as rt -> rt
+ | GFloat _ as rt -> rt
| GCast(b,c) ->
GCast(replace_var_by_pattern b,
Glob_ops.map_cast_type replace_var_by_pattern c)
@@ -529,7 +532,7 @@ let expand_as =
| PatCstr(_,patl,_) -> List.fold_left add_as map patl
in
let rec expand_as map = DAst.map (function
- | GRef _ | GEvar _ | GPatVar _ | GSort _ | GHole _ | GInt _ as rt -> rt
+ | GRef _ | GEvar _ | GPatVar _ | GSort _ | GHole _ | GInt _ | GFloat _ as rt -> rt
| GVar id as rt ->
begin
try
diff --git a/plugins/funind/recdef.ml b/plugins/funind/recdef.ml
index 29356df81d..66ed1961ba 100644
--- a/plugins/funind/recdef.ml
+++ b/plugins/funind/recdef.ml
@@ -270,7 +270,7 @@ let check_not_nested env sigma forbidden e =
let rec check_not_nested e =
match EConstr.kind sigma e with
| Rel _ -> ()
- | Int _ -> ()
+ | Int _ | Float _ -> ()
| Var x ->
if Id.List.mem x forbidden
then user_err ~hdr:"Recdef.check_not_nested"
@@ -452,7 +452,7 @@ let rec travel_aux jinfo continuation_tac (expr_info:constr infos) g =
| _ -> anomaly (Pp.str "travel_aux : unexpected "++ Printer.pr_leconstr_env env sigma expr_info.info ++ Pp.str ".")
end
| Cast(t,_,_) -> travel jinfo continuation_tac {expr_info with info=t} g
- | Const _ | Var _ | Meta _ | Evar _ | Sort _ | Construct _ | Ind _ | Int _ ->
+ | Const _ | Var _ | Meta _ | Evar _ | Sort _ | Construct _ | Ind _ | Int _ | Float _ ->
let new_continuation_tac =
jinfo.otherS () expr_info continuation_tac in
new_continuation_tac expr_info g
diff --git a/plugins/micromega/DeclConstant.v b/plugins/micromega/DeclConstant.v
index 0288728504..7ad5e313e3 100644
--- a/plugins/micromega/DeclConstant.v
+++ b/plugins/micromega/DeclConstant.v
@@ -51,7 +51,7 @@ Instance GT_APP2 {T1 T2 T3: Type} (F : T1 -> T2 -> T3)
GT A1 -> GT A2 -> GT (F A1 A2).
Defined.
-Require Import ZArith.
+Require Import QArith_base.
Instance DO : DeclaredConstant O := {}.
Instance DS : DeclaredConstant S := {}.
@@ -64,6 +64,4 @@ Instance DZneg: DeclaredConstant Zneg := {}.
Instance DZpow_pos : DeclaredConstant Z.pow_pos := {}.
Instance DZpow : DeclaredConstant Z.pow := {}.
-Require Import QArith.
-
Instance DQ : DeclaredConstant Qmake := {}.
diff --git a/plugins/micromega/Lia.v b/plugins/micromega/Lia.v
index 3351c7ef8a..55a93eade7 100644
--- a/plugins/micromega/Lia.v
+++ b/plugins/micromega/Lia.v
@@ -15,7 +15,7 @@
(************************************************************************)
Require Import ZMicromega.
-Require Import ZArith.
+Require Import ZArith_base.
Require Import RingMicromega.
Require Import VarMap.
Require Import DeclConstant.
diff --git a/plugins/micromega/RMicromega.v b/plugins/micromega/RMicromega.v
index 3651b54ed8..6c1852acbf 100644
--- a/plugins/micromega/RMicromega.v
+++ b/plugins/micromega/RMicromega.v
@@ -22,6 +22,7 @@ Require Import QArith.
Require Import Qfield.
Require Import Qreals.
Require Import DeclConstant.
+Require Import Lia.
Require Setoid.
(*Declare ML Module "micromega_plugin".*)
@@ -192,7 +193,7 @@ Proof.
destruct z ; try congruence.
compute. congruence.
compute. congruence.
- generalize (Zle_0_nat n). auto with zarith.
+ generalize (Zle_0_nat n). auto using Z.le_ge.
Qed.
Definition CInvR0 (r : Rcst) := Qeq_bool (Q_of_Rcst r) (0 # 1).
@@ -333,7 +334,7 @@ Proof.
apply Qeq_bool_eq in C2.
rewrite C2.
simpl.
- rewrite Qpower0 by auto with zarith.
+ rewrite Qpower0 by lia.
apply Q2R_0.
+ rewrite Q2RpowerRZ.
rewrite IHc.
@@ -341,7 +342,7 @@ Proof.
rewrite andb_false_iff in C.
destruct C.
simpl. apply Z.ltb_ge in H.
- auto with zarith.
+ lia.
left ; apply Qeq_bool_neq; auto.
+ simpl.
rewrite <- IHc.
diff --git a/plugins/micromega/VarMap.v b/plugins/micromega/VarMap.v
index f93fe021f9..6db62e8401 100644
--- a/plugins/micromega/VarMap.v
+++ b/plugins/micromega/VarMap.v
@@ -15,7 +15,7 @@
(* *)
(************************************************************************)
-Require Import ZArith.
+Require Import ZArith_base.
Require Import Coq.Arith.Max.
Require Import List.
Set Implicit Arguments.
diff --git a/plugins/micromega/ZCoeff.v b/plugins/micromega/ZCoeff.v
index 26970faf0c..08f3f39204 100644
--- a/plugins/micromega/ZCoeff.v
+++ b/plugins/micromega/ZCoeff.v
@@ -12,9 +12,10 @@
Require Import OrderedRing.
Require Import RingMicromega.
-Require Import ZArith.
+Require Import ZArith_base.
Require Import InitialRing.
Require Import Setoid.
+Require Import ZArithRing.
Import OrderedRingSyntax.
diff --git a/plugins/micromega/ZMicromega.v b/plugins/micromega/ZMicromega.v
index c160e11467..d709fdda14 100644
--- a/plugins/micromega/ZMicromega.v
+++ b/plugins/micromega/ZMicromega.v
@@ -21,7 +21,8 @@ Require Import RingMicromega.
Require FSetPositive FSetEqProperties.
Require Import ZCoeff.
Require Import Refl.
-Require Import ZArith.
+Require Import ZArith_base.
+Require Import ZArithRing.
Require PreOmega.
(*Declare ML Module "micromega_plugin".*)
Local Open Scope Z_scope.
diff --git a/plugins/ssr/ssrclasses.v b/plugins/ssr/ssrclasses.v
new file mode 100644
index 0000000000..0ae3f8c6a5
--- /dev/null
+++ b/plugins/ssr/ssrclasses.v
@@ -0,0 +1,32 @@
+(************************************************************************)
+(* * The Coq Proof Assistant / The Coq Development Team *)
+(* v * INRIA, CNRS and contributors - Copyright 1999-2019 *)
+(* <O___,, * (see CREDITS file for the list of authors) *)
+(* \VV/ **************************************************************)
+(* // * This file is distributed under the terms of the *)
+(* * GNU Lesser General Public License Version 2.1 *)
+(* * (see LICENSE file for the text of the license) *)
+(************************************************************************)
+
+(** #<style> .doc { font-family: monospace; white-space: pre; } </style># **)
+
+(** Compatibility layer for [under] and [setoid_rewrite].
+
+ Note: this file does not require [ssreflect]; it is both required by
+ [ssrsetoid] and required by [ssrunder].
+
+ Redefine [Coq.Classes.RelationClasses.Reflexive] here, so that doing
+ [Require Import ssreflect] does not [Require Import RelationClasses],
+ and conversely. **)
+
+Section Defs.
+ Context {A : Type}.
+ Class Reflexive (R : A -> A -> Prop) :=
+ reflexivity : forall x : A, R x x.
+End Defs.
+
+Register Reflexive as plugins.ssreflect.reflexive_type.
+Register reflexivity as plugins.ssreflect.reflexive_proof.
+
+Instance eq_Reflexive {A : Type} : Reflexive (@eq A) := @eq_refl A.
+Instance iff_Reflexive : Reflexive iff := iff_refl.
diff --git a/plugins/ssr/ssreflect.v b/plugins/ssr/ssreflect.v
index 9ebdf71329..bc4a57dedd 100644
--- a/plugins/ssr/ssreflect.v
+++ b/plugins/ssr/ssreflect.v
@@ -530,102 +530,32 @@ Lemma abstract_context T (P : T -> Type) x :
Proof. by move=> /(_ P); apply. Qed.
(*****************************************************************************)
-(* Constants for under, to rewrite under binders using "Leibniz eta lemmas". *)
-
-Module Type UNDER_EQ.
-Parameter Under_eq :
- forall (R : Type), R -> R -> Prop.
-Parameter Under_eq_from_eq :
- forall (T : Type) (x y : T), @Under_eq T x y -> x = y.
-
-(** [Over_eq, over_eq, over_eq_done]: for "by rewrite over_eq" *)
-Parameter Over_eq :
- forall (R : Type), R -> R -> Prop.
-Parameter over_eq :
- forall (T : Type) (x : T) (y : T), @Under_eq T x y = @Over_eq T x y.
-Parameter over_eq_done :
- forall (T : Type) (x : T), @Over_eq T x x.
-(* We need both hints below, otherwise the test-suite does not pass *)
-Hint Extern 0 (@Over_eq _ _ _) => solve [ apply over_eq_done ] : core.
-(* => for [test-suite/ssr/under.v:test_big_patt1] *)
-Hint Resolve over_eq_done : core.
-(* => for [test-suite/ssr/over.v:test_over_1_1] *)
-
-(** [under_eq_done]: for Ltac-style over *)
-Parameter under_eq_done :
- forall (T : Type) (x : T), @Under_eq T x x.
-Notation "''Under[' x ]" := (@Under_eq _ x _)
- (at level 8, format "''Under[' x ]", only printing).
-End UNDER_EQ.
-
-Module Export Under_eq : UNDER_EQ.
-Definition Under_eq := @eq.
-Lemma Under_eq_from_eq (T : Type) (x y : T) :
- @Under_eq T x y -> x = y.
-Proof. by []. Qed.
-Definition Over_eq := Under_eq.
-Lemma over_eq :
- forall (T : Type) (x : T) (y : T), @Under_eq T x y = @Over_eq T x y.
-Proof. by []. Qed.
-Lemma over_eq_done :
- forall (T : Type) (x : T), @Over_eq T x x.
-Proof. by []. Qed.
-Lemma under_eq_done :
- forall (T : Type) (x : T), @Under_eq T x x.
-Proof. by []. Qed.
-End Under_eq.
-
-Register Under_eq as plugins.ssreflect.Under_eq.
-Register Under_eq_from_eq as plugins.ssreflect.Under_eq_from_eq.
-
-Module Type UNDER_IFF.
-Parameter Under_iff : Prop -> Prop -> Prop.
-Parameter Under_iff_from_iff : forall x y : Prop, @Under_iff x y -> x <-> y.
-
-(** [Over_iff, over_iff, over_iff_done]: for "by rewrite over_iff" *)
-Parameter Over_iff : Prop -> Prop -> Prop.
-Parameter over_iff :
- forall (x : Prop) (y : Prop), @Under_iff x y = @Over_iff x y.
-Parameter over_iff_done :
- forall (x : Prop), @Over_iff x x.
-Hint Extern 0 (@Over_iff _ _) => solve [ apply over_iff_done ] : core.
-Hint Resolve over_iff_done : core.
-
-(** [under_iff_done]: for Ltac-style over *)
-Parameter under_iff_done :
- forall (x : Prop), @Under_iff x x.
-Notation "''Under[' x ]" := (@Under_iff x _)
- (at level 8, format "''Under[' x ]", only printing).
-End UNDER_IFF.
-
-Module Export Under_iff : UNDER_IFF.
-Definition Under_iff := iff.
-Lemma Under_iff_from_iff (x y : Prop) :
- @Under_iff x y -> x <-> y.
-Proof. by []. Qed.
-Definition Over_iff := Under_iff.
-Lemma over_iff :
- forall (x : Prop) (y : Prop), @Under_iff x y = @Over_iff x y.
-Proof. by []. Qed.
-Lemma over_iff_done :
- forall (x : Prop), @Over_iff x x.
-Proof. by []. Qed.
-Lemma under_iff_done :
- forall (x : Prop), @Under_iff x x.
-Proof. by []. Qed.
-End Under_iff.
-
-Register Under_iff as plugins.ssreflect.Under_iff.
-Register Under_iff_from_iff as plugins.ssreflect.Under_iff_from_iff.
-
-Definition over := (over_eq, over_iff).
+(* Material for under/over (to rewrite under binders using "context lemmas") *)
+Require Export ssrunder.
+
+Hint Extern 0 (@Under_rel.Over_rel _ _ _ _) =>
+ solve [ apply: Under_rel.over_rel_done ] : core.
+Hint Resolve Under_rel.over_rel_done : core.
+
+Register Under_rel.Under_rel as plugins.ssreflect.Under_rel.
+Register Under_rel.Under_rel_from_rel as plugins.ssreflect.Under_rel_from_rel.
+
+(** Closing rewrite rule *)
+Definition over := over_rel.
+
+(** Closing tactic *)
Ltac over :=
- by [ apply: Under_eq.under_eq_done
- | apply: Under_iff.under_iff_done
+ by [ apply: Under_rel.under_rel_done
| rewrite over
].
+(** Convenience rewrite rule to unprotect evars, e.g., to instantiate
+ them in another way than with reflexivity. *)
+Definition UnderE := Under_relE.
+
+(*****************************************************************************)
+
(** An interface for non-Prop types; used to avoid improper instantiation
of polymorphic lemmas with on-demand implicits when they are used as views.
For example: Some_inj {T} : forall x y : T, Some x = Some y -> x = y.
diff --git a/plugins/ssr/ssreflect_plugin.mlpack b/plugins/ssr/ssreflect_plugin.mlpack
index 824348fee7..46669998b9 100644
--- a/plugins/ssr/ssreflect_plugin.mlpack
+++ b/plugins/ssr/ssreflect_plugin.mlpack
@@ -10,4 +10,3 @@ Ssripats
Ssrfwd
Ssrparser
Ssrvernac
-
diff --git a/plugins/ssr/ssrequality.mli b/plugins/ssr/ssrequality.mli
index 43aeeb2dae..baf5288725 100644
--- a/plugins/ssr/ssrequality.mli
+++ b/plugins/ssr/ssrequality.mli
@@ -42,6 +42,9 @@ val mk_rwarg :
val norwmult : ssrdir * ssrmult
val norwocc : (Ssrast.ssrclear option * Ssrast.ssrocc) * Ssrmatching.rpattern option
+val ssr_is_setoid :
+ Environ.env -> Evd.evar_map -> EConstr.t -> EConstr.t array -> bool
+
val ssrinstancesofrule :
Ltac_plugin.Tacinterp.interp_sign ->
Ssrast.ssrdir ->
diff --git a/plugins/ssr/ssrfwd.ml b/plugins/ssr/ssrfwd.ml
index cca94c8c9b..b0f56c423f 100644
--- a/plugins/ssr/ssrfwd.ml
+++ b/plugins/ssr/ssrfwd.ml
@@ -340,6 +340,21 @@ let intro_lock ipats =
let hnf' = Proofview.numgoals >>= fun ng ->
Proofview.tclDISPATCH
(ncons (ng - 1) ssrsmovetac @ [Proofview.tclUNIT ()]) in
+ let protect_subgoal env sigma hd args =
+ Tactics.New.refine ~typecheck:true (fun sigma ->
+ let lm2 = Array.length args - 2 in
+ let sigma, carrier =
+ Typing.type_of env sigma args.(lm2) in
+ let rel = EConstr.mkApp (hd, Array.sub args 0 lm2) in
+ let rel_args = Array.sub args lm2 2 in
+ let sigma, under_rel =
+ Ssrcommon.mkSsrConst "Under_rel" env sigma in
+ let sigma, under_from_rel =
+ Ssrcommon.mkSsrConst "Under_rel_from_rel" env sigma in
+ let under_rel_args = Array.append [|carrier; rel|] rel_args in
+ let ty = EConstr.mkApp (under_rel, under_rel_args) in
+ let sigma, t = Evarutil.new_evar env sigma ty in
+ sigma, EConstr.mkApp(under_from_rel,Array.append under_rel_args [|t|])) in
let rec lock_eq () : unit Proofview.tactic = Proofview.Goal.enter begin fun _ ->
Proofview.tclORELSE
(Ssripats.tclIPAT [Ssripats.IOpTemporay; Ssripats.IOpEqGen (lock_eq ())])
@@ -349,30 +364,23 @@ let intro_lock ipats =
let env = Proofview.Goal.env gl in
match EConstr.kind_of_type sigma c with
| Term.AtomicType(hd, args) when
+ Array.length args >= 2 && is_app_evar sigma (Array.last args) &&
+ Ssrequality.ssr_is_setoid env sigma hd args
+ (* if the last condition above [ssr_is_setoid ...] holds
+ then [Coq.Classes.RelationClasses] has been required *)
+ ||
+ (* if this is not the case, the tactic can still succeed
+ when the considered relation is [Coq.Init.Logic.iff] *)
Ssrcommon.is_const_ref sigma hd (Coqlib.lib_ref "core.iff.type") &&
- Array.length args = 2 && is_app_evar sigma args.(1) ->
- Tactics.New.refine ~typecheck:true (fun sigma ->
- let sigma, under_iff =
- Ssrcommon.mkSsrConst "Under_iff" env sigma in
- let sigma, under_from_iff =
- Ssrcommon.mkSsrConst "Under_iff_from_iff" env sigma in
- let ty = EConstr.mkApp (under_iff,args) in
- let sigma, t = Evarutil.new_evar env sigma ty in
- sigma, EConstr.mkApp(under_from_iff,Array.append args [|t|]))
+ Array.length args = 2 && is_app_evar sigma args.(1) ->
+ protect_subgoal env sigma hd args
| _ ->
let t = Reductionops.whd_all env sigma c in
match EConstr.kind_of_type sigma t with
| Term.AtomicType(hd, args) when
Ssrcommon.is_ind_ref sigma hd (Coqlib.lib_ref "core.eq.type") &&
Array.length args = 3 && is_app_evar sigma args.(2) ->
- Tactics.New.refine ~typecheck:true (fun sigma ->
- let sigma, under =
- Ssrcommon.mkSsrConst "Under_eq" env sigma in
- let sigma, under_from_eq =
- Ssrcommon.mkSsrConst "Under_eq_from_eq" env sigma in
- let ty = EConstr.mkApp (under,args) in
- let sigma, t = Evarutil.new_evar env sigma ty in
- sigma, EConstr.mkApp(under_from_eq,Array.append args [|t|]))
+ protect_subgoal env sigma hd args
| _ ->
ppdebug(lazy Pp.(str"under: stop:" ++ pr_econstr_env env sigma t));
diff --git a/plugins/ssr/ssrsetoid.v b/plugins/ssr/ssrsetoid.v
new file mode 100644
index 0000000000..609c9d5ab8
--- /dev/null
+++ b/plugins/ssr/ssrsetoid.v
@@ -0,0 +1,122 @@
+(************************************************************************)
+(* * The Coq Proof Assistant / The Coq Development Team *)
+(* v * INRIA, CNRS and contributors - Copyright 1999-2019 *)
+(* <O___,, * (see CREDITS file for the list of authors) *)
+(* \VV/ **************************************************************)
+(* // * This file is distributed under the terms of the *)
+(* * GNU Lesser General Public License Version 2.1 *)
+(* * (see LICENSE file for the text of the license) *)
+(************************************************************************)
+
+(** #<style> .doc { font-family: monospace; white-space: pre; } </style># **)
+
+(** Compatibility layer for [under] and [setoid_rewrite].
+
+ This file is intended to be required by [Require Import Setoid].
+
+ In particular, we can use the [under] tactic with other relations
+ than [eq] or [iff], e.g. a [RewriteRelation], by doing:
+ [Require Import ssreflect. Require Setoid.]
+
+ This file's instances have priority 12 > other stdlib instances
+ and each [Under_rel] instance comes with a [Hint Cut] directive
+ (otherwise Ring_polynom.v won't compile because of unbounded search).
+
+ (Note: this file could be skipped when porting [under] to stdlib2.)
+ *)
+
+Require Import ssrclasses.
+Require Import ssrunder.
+Require Import RelationClasses.
+Require Import Relation_Definitions.
+
+(** Reconcile [Coq.Classes.RelationClasses.Reflexive] with
+ [Coq.ssr.ssrclasses.Reflexive] *)
+
+Instance compat_Reflexive :
+ forall {A} {R : relation A},
+ RelationClasses.Reflexive R ->
+ ssrclasses.Reflexive R | 12.
+Proof. now trivial. Qed.
+
+(** Add instances so that ['Under[ F i ]] terms,
+ that is, [Under_rel T R (F i) (?G i)] terms,
+ can be manipulated with rewrite/setoid_rewrite with lemmas on [R].
+ Note that this requires that [R] is a [Prop] relation, otherwise
+ a [bool] relation may need to be "lifted": see the [TestPreOrder]
+ section in test-suite/ssr/under.v *)
+
+Instance Under_subrelation {A} (R : relation A) : subrelation R (Under_rel _ R) | 12.
+Proof. now rewrite Under_relE. Qed.
+
+(* see also Morphisms.trans_co_eq_inv_impl_morphism *)
+
+Instance Under_Reflexive {A} (R : relation A) :
+ RelationClasses.Reflexive R ->
+ RelationClasses.Reflexive (Under_rel.Under_rel A R) | 12.
+Proof. now rewrite Under_rel.Under_relE. Qed.
+
+Hint Cut [_* Under_Reflexive Under_Reflexive] : typeclass_instances.
+
+(* These instances are a bit off-topic given that (Under_rel A R) will
+ typically be reflexive, to be able to trigger the [over] terminator
+
+Instance under_Irreflexive {A} (R : relation A) :
+ RelationClasses.Irreflexive R ->
+ RelationClasses.Irreflexive (Under_rel.Under_rel A R) | 12.
+Proof. now rewrite Under_rel.Under_relE. Qed.
+
+Hint Cut [_* Under_Irreflexive Under_Irreflexive] : typeclass_instances.
+
+Instance under_Asymmetric {A} (R : relation A) :
+ RelationClasses.Asymmetric R ->
+ RelationClasses.Asymmetric (Under_rel.Under_rel A R) | 12.
+Proof. now rewrite Under_rel.Under_relE. Qed.
+
+Hint Cut [_* Under_Asymmetric Under_Asymmetric] : typeclass_instances.
+
+Instance under_StrictOrder {A} (R : relation A) :
+ RelationClasses.StrictOrder R ->
+ RelationClasses.StrictOrder (Under_rel.Under_rel A R) | 12.
+Proof. now rewrite Under_rel.Under_relE. Qed.
+
+Hint Cut [_* Under_Strictorder Under_Strictorder] : typeclass_instances.
+ *)
+
+Instance Under_Symmetric {A} (R : relation A) :
+ RelationClasses.Symmetric R ->
+ RelationClasses.Symmetric (Under_rel.Under_rel A R) | 12.
+Proof. now rewrite Under_rel.Under_relE. Qed.
+
+Hint Cut [_* Under_Symmetric Under_Symmetric] : typeclass_instances.
+
+Instance Under_Transitive {A} (R : relation A) :
+ RelationClasses.Transitive R ->
+ RelationClasses.Transitive (Under_rel.Under_rel A R) | 12.
+Proof. now rewrite Under_rel.Under_relE. Qed.
+
+Hint Cut [_* Under_Transitive Under_Transitive] : typeclass_instances.
+
+Instance Under_PreOrder {A} (R : relation A) :
+ RelationClasses.PreOrder R ->
+ RelationClasses.PreOrder (Under_rel.Under_rel A R) | 12.
+Proof. now rewrite Under_rel.Under_relE. Qed.
+
+Hint Cut [_* Under_PreOrder Under_PreOrder] : typeclass_instances.
+
+Instance Under_PER {A} (R : relation A) :
+ RelationClasses.PER R ->
+ RelationClasses.PER (Under_rel.Under_rel A R) | 12.
+Proof. now rewrite Under_rel.Under_relE. Qed.
+
+Hint Cut [_* Under_PER Under_PER] : typeclass_instances.
+
+Instance Under_Equivalence {A} (R : relation A) :
+ RelationClasses.Equivalence R ->
+ RelationClasses.Equivalence (Under_rel.Under_rel A R) | 12.
+Proof. now rewrite Under_rel.Under_relE. Qed.
+
+Hint Cut [_* Under_Equivalence Under_Equivalence] : typeclass_instances.
+
+(* Don't handle Antisymmetric and PartialOrder classes for now,
+ as these classes depend on two relation symbols... *)
diff --git a/plugins/ssr/ssrunder.v b/plugins/ssr/ssrunder.v
new file mode 100644
index 0000000000..7c529a6133
--- /dev/null
+++ b/plugins/ssr/ssrunder.v
@@ -0,0 +1,75 @@
+(************************************************************************)
+(* * The Coq Proof Assistant / The Coq Development Team *)
+(* v * INRIA, CNRS and contributors - Copyright 1999-2019 *)
+(* <O___,, * (see CREDITS file for the list of authors) *)
+(* \VV/ **************************************************************)
+(* // * This file is distributed under the terms of the *)
+(* * GNU Lesser General Public License Version 2.1 *)
+(* * (see LICENSE file for the text of the license) *)
+(************************************************************************)
+
+(** #<style> .doc { font-family: monospace; white-space: pre; } </style># **)
+
+(** Constants for under/over, to rewrite under binders using "context lemmas"
+
+ Note: this file does not require [ssreflect]; it is both required by
+ [ssrsetoid] and *exported* by [ssrunder].
+
+ This preserves the following feature: we can use [Setoid] without
+ requiring [ssreflect] and use [ssreflect] without requiring [Setoid].
+*)
+
+Require Import ssrclasses.
+
+Module Type UNDER_REL.
+Parameter Under_rel :
+ forall (A : Type) (eqA : A -> A -> Prop), A -> A -> Prop.
+Parameter Under_rel_from_rel :
+ forall (A : Type) (eqA : A -> A -> Prop) (x y : A),
+ @Under_rel A eqA x y -> eqA x y.
+Parameter Under_relE :
+ forall (A : Type) (eqA : A -> A -> Prop),
+ @Under_rel A eqA = eqA.
+
+(** [Over_rel, over_rel, over_rel_done]: for "by rewrite over_rel" *)
+Parameter Over_rel :
+ forall (A : Type) (eqA : A -> A -> Prop), A -> A -> Prop.
+Parameter over_rel :
+ forall (A : Type) (eqA : A -> A -> Prop) (x y : A),
+ @Under_rel A eqA x y = @Over_rel A eqA x y.
+Parameter over_rel_done :
+ forall (A : Type) (eqA : A -> A -> Prop) (EeqA : Reflexive eqA) (x : A),
+ @Over_rel A eqA x x.
+
+(** [under_rel_done]: for Ltac-style over *)
+Parameter under_rel_done :
+ forall (A : Type) (eqA : A -> A -> Prop) (EeqA : Reflexive eqA) (x : A),
+ @Under_rel A eqA x x.
+Notation "''Under[' x ]" := (@Under_rel _ _ x _)
+ (at level 8, format "''Under[' x ]", only printing).
+End UNDER_REL.
+
+Module Export Under_rel : UNDER_REL.
+Definition Under_rel (A : Type) (eqA : A -> A -> Prop) :=
+ eqA.
+Lemma Under_rel_from_rel :
+ forall (A : Type) (eqA : A -> A -> Prop) (x y : A),
+ @Under_rel A eqA x y -> eqA x y.
+Proof. now trivial. Qed.
+Lemma Under_relE (A : Type) (eqA : A -> A -> Prop) :
+ @Under_rel A eqA = eqA.
+Proof. now trivial. Qed.
+Definition Over_rel := Under_rel.
+Lemma over_rel :
+ forall (A : Type) (eqA : A -> A -> Prop) (x y : A),
+ @Under_rel A eqA x y = @Over_rel A eqA x y.
+Proof. now trivial. Qed.
+Lemma over_rel_done :
+ forall (A : Type) (eqA : A -> A -> Prop) (EeqA : Reflexive eqA) (x : A),
+ @Over_rel A eqA x x.
+Proof. now unfold Over_rel. Qed.
+Lemma under_rel_done :
+ forall (A : Type) (eqA : A -> A -> Prop) (EeqA : Reflexive eqA) (x : A),
+ @Under_rel A eqA x x.
+Proof. now trivial. Qed.
+End Under_rel.
diff --git a/plugins/ssrmatching/ssrmatching.ml b/plugins/ssrmatching/ssrmatching.ml
index 4d7a04f5ee..9682487a22 100644
--- a/plugins/ssrmatching/ssrmatching.ml
+++ b/plugins/ssrmatching/ssrmatching.ml
@@ -319,7 +319,7 @@ let iter_constr_LR f c = match kind c with
for i = 0 to Array.length t - 1 do f t.(i); f b.(i) done
| Proj(_,a) -> f a
| (Rel _ | Meta _ | Var _ | Sort _ | Const _ | Ind _ | Construct _
- | Int _) -> ()
+ | Int _ | Float _) -> ()
(* The comparison used to determine which subterms matches is KEYED *)
(* CONVERSION. This looks for convertible terms that either have the same *)
diff --git a/plugins/syntax/float_syntax.ml b/plugins/syntax/float_syntax.ml
new file mode 100644
index 0000000000..3c2e217d1c
--- /dev/null
+++ b/plugins/syntax/float_syntax.ml
@@ -0,0 +1,50 @@
+(************************************************************************)
+(* 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 Names
+open Glob_term
+
+(* Poor's man DECLARE PLUGIN *)
+let __coq_plugin_name = "float_syntax_plugin"
+let () = Mltop.add_known_module __coq_plugin_name
+
+(*** Constants for locating float constructors ***)
+
+let make_dir l = DirPath.make (List.rev_map Id.of_string l)
+let make_path dir id = Libnames.make_path (make_dir dir) (Id.of_string id)
+
+(*** Parsing for float in digital notation ***)
+
+let interp_float ?loc (sign,n) =
+ let sign = Constrexpr.(match sign with SPlus -> "" | SMinus -> "-") in
+ DAst.make ?loc (GFloat (Float64.of_string (sign ^ NumTok.to_string n)))
+
+(* Pretty printing is already handled in constrextern.ml *)
+
+let uninterp_float _ = None
+
+(* Actually declares the interpreter for float *)
+
+open Notation
+
+let at_declare_ml_module f x =
+ Mltop.declare_cache_obj (fun () -> f x) __coq_plugin_name
+
+let float_module = ["Coq"; "Floats"; "PrimFloat"]
+let float_path = make_path float_module "float"
+let float_scope = "float_scope"
+
+let _ =
+ register_rawnumeral_interpretation float_scope (interp_float,uninterp_float);
+ at_declare_ml_module enable_prim_token_interpretation
+ { pt_local = false;
+ pt_scope = float_scope;
+ pt_interp_info = Uid float_scope;
+ pt_required = (float_path,float_module);
+ pt_refs = [];
+ pt_in_match = false }
diff --git a/plugins/syntax/float_syntax_plugin.mlpack b/plugins/syntax/float_syntax_plugin.mlpack
new file mode 100644
index 0000000000..d69f49bcfe
--- /dev/null
+++ b/plugins/syntax/float_syntax_plugin.mlpack
@@ -0,0 +1 @@
+Float_syntax
diff --git a/plugins/syntax/plugin_base.dune b/plugins/syntax/plugin_base.dune
index 7a23581768..512752135d 100644
--- a/plugins/syntax/plugin_base.dune
+++ b/plugins/syntax/plugin_base.dune
@@ -25,3 +25,10 @@
(synopsis "Coq syntax plugin: int63")
(modules int63_syntax)
(libraries coq.vernac))
+
+(library
+ (name float_syntax_plugin)
+ (public_name coq.plugins.float_syntax)
+ (synopsis "Coq syntax plugin: float")
+ (modules float_syntax)
+ (libraries coq.vernac))