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+(************************************************************************)
+(* v * The Coq Proof Assistant / The Coq Development Team *)
+(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2015 *)
+(* \VV/ **************************************************************)
+(* // * This file is distributed under the terms of the *)
+(* * GNU Lesser General Public License Version 2.1 *)
+(************************************************************************)
+
+open Pp
+open Util
+open Names
+open Libnames
+open Constrexpr
+open Misctypes
+open Decl_kinds
+
+(***********************)
+(* For binders parsing *)
+
+let binding_kind_eq bk1 bk2 = match bk1, bk2 with
+| Explicit, Explicit -> true
+| Implicit, Implicit -> true
+| _ -> false
+
+let abstraction_kind_eq ak1 ak2 = match ak1, ak2 with
+| AbsLambda, AbsLambda -> true
+| AbsPi, AbsPi -> true
+| _ -> false
+
+let binder_kind_eq b1 b2 = match b1, b2 with
+| Default bk1, Default bk2 -> binding_kind_eq bk1 bk2
+| Generalized (bk1, ck1, b1), Generalized (bk2, ck2, b2) ->
+ binding_kind_eq bk1 bk2 && binding_kind_eq ck1 ck2 &&
+ (if b1 then b2 else not b2)
+| _ -> false
+
+let default_binder_kind = Default Explicit
+
+let names_of_local_assums bl =
+ List.flatten (List.map (function LocalRawAssum(l,_,_)->l|_->[]) bl)
+
+let names_of_local_binders bl =
+ List.flatten (List.map (function LocalRawAssum(l,_,_)->l|LocalRawDef(l,_)->[l]) bl)
+
+(**********************************************************************)
+(* Functions on constr_expr *)
+
+let prim_token_eq t1 t2 = match t1, t2 with
+| Numeral i1, Numeral i2 -> Bigint.equal i1 i2
+| String s1, String s2 -> String.equal s1 s2
+| _ -> false
+
+let explicitation_eq ex1 ex2 = match ex1, ex2 with
+| ExplByPos (i1, id1), ExplByPos (i2, id2) ->
+ Int.equal i1 i2 && Option.equal Id.equal id1 id2
+| ExplByName id1, ExplByName id2 ->
+ Id.equal id1 id2
+| _ -> false
+
+let eq_located f (_, x) (_, y) = f x y
+
+let rec cases_pattern_expr_eq p1 p2 =
+ if p1 == p2 then true
+ else match p1, p2 with
+ | CPatAlias(_,a1,i1), CPatAlias(_,a2,i2) ->
+ Id.equal i1 i2 && cases_pattern_expr_eq a1 a2
+ | CPatCstr(_,c1,a1,b1), CPatCstr(_,c2,a2,b2) ->
+ eq_reference c1 c2 &&
+ List.equal cases_pattern_expr_eq a1 a2 &&
+ List.equal cases_pattern_expr_eq b1 b2
+ | CPatAtom(_,r1), CPatAtom(_,r2) ->
+ Option.equal eq_reference r1 r2
+ | CPatOr (_, a1), CPatOr (_, a2) ->
+ List.equal cases_pattern_expr_eq a1 a2
+ | CPatNotation (_, n1, s1, l1), CPatNotation (_, n2, s2, l2) ->
+ String.equal n1 n2 &&
+ cases_pattern_notation_substitution_eq s1 s2 &&
+ List.equal cases_pattern_expr_eq l1 l2
+ | CPatPrim(_,i1), CPatPrim(_,i2) ->
+ prim_token_eq i1 i2
+ | CPatRecord (_, l1), CPatRecord (_, l2) ->
+ let equal (r1, e1) (r2, e2) =
+ eq_reference r1 r2 && cases_pattern_expr_eq e1 e2
+ in
+ List.equal equal l1 l2
+ | CPatDelimiters(_,s1,e1), CPatDelimiters(_,s2,e2) ->
+ String.equal s1 s2 && cases_pattern_expr_eq e1 e2
+ | _ -> false
+
+and cases_pattern_notation_substitution_eq (s1, n1) (s2, n2) =
+ List.equal cases_pattern_expr_eq s1 s2 &&
+ List.equal (List.equal cases_pattern_expr_eq) n1 n2
+
+let eq_universes u1 u2 =
+ match u1, u2 with
+ | None, None -> true
+ | Some l, Some l' -> l = l'
+ | _, _ -> false
+
+let rec constr_expr_eq e1 e2 =
+ if e1 == e2 then true
+ else match e1, e2 with
+ | CRef (r1,u1), CRef (r2,u2) -> eq_reference r1 r2 && eq_universes u1 u2
+ | CFix(_,id1,fl1), CFix(_,id2,fl2) ->
+ eq_located Id.equal id1 id2 &&
+ List.equal fix_expr_eq fl1 fl2
+ | CCoFix(_,id1,fl1), CCoFix(_,id2,fl2) ->
+ eq_located Id.equal id1 id2 &&
+ List.equal cofix_expr_eq fl1 fl2
+ | CProdN(_,bl1,a1), CProdN(_,bl2,a2) ->
+ List.equal binder_expr_eq bl1 bl2 &&
+ constr_expr_eq a1 a2
+ | CLambdaN(_,bl1,a1), CLambdaN(_,bl2,a2) ->
+ List.equal binder_expr_eq bl1 bl2 &&
+ constr_expr_eq a1 a2
+ | CLetIn(_,(_,na1),a1,b1), CLetIn(_,(_,na2),a2,b2) ->
+ Name.equal na1 na2 &&
+ constr_expr_eq a1 a2 &&
+ constr_expr_eq b1 b2
+ | CAppExpl(_,(proj1,r1,_),al1), CAppExpl(_,(proj2,r2,_),al2) ->
+ Option.equal Int.equal proj1 proj2 &&
+ eq_reference r1 r2 &&
+ List.equal constr_expr_eq al1 al2
+ | CApp(_,(proj1,e1),al1), CApp(_,(proj2,e2),al2) ->
+ Option.equal Int.equal proj1 proj2 &&
+ constr_expr_eq e1 e2 &&
+ List.equal args_eq al1 al2
+ | CRecord (_, e1, l1), CRecord (_, e2, l2) ->
+ let field_eq (r1, e1) (r2, e2) =
+ eq_reference r1 r2 && constr_expr_eq e1 e2
+ in
+ Option.equal constr_expr_eq e1 e2 &&
+ List.equal field_eq l1 l2
+ | CCases(_,_,r1,a1,brl1), CCases(_,_,r2,a2,brl2) ->
+ (** Don't care about the case_style *)
+ Option.equal constr_expr_eq r1 r2 &&
+ List.equal case_expr_eq a1 a2 &&
+ List.equal branch_expr_eq brl1 brl2
+ | CLetTuple (_, n1, (m1, e1), t1, b1), CLetTuple (_, n2, (m2, e2), t2, b2) ->
+ List.equal (eq_located Name.equal) n1 n2 &&
+ Option.equal (eq_located Name.equal) m1 m2 &&
+ Option.equal constr_expr_eq e1 e2 &&
+ constr_expr_eq t1 t2 &&
+ constr_expr_eq b1 b2
+ | CIf (_, e1, (n1, r1), t1, f1), CIf (_, e2, (n2, r2), t2, f2) ->
+ constr_expr_eq e1 e2 &&
+ Option.equal (eq_located Name.equal) n1 n2 &&
+ Option.equal constr_expr_eq r1 r2 &&
+ constr_expr_eq t1 t2 &&
+ constr_expr_eq f1 f2
+ | CHole _, CHole _ -> true
+ | CPatVar(_,i1), CPatVar(_,i2) ->
+ Id.equal i1 i2
+ | CEvar (_, id1, c1), CEvar (_, id2, c2) ->
+ Id.equal id1 id2 && List.equal instance_eq c1 c2
+ | CSort(_,s1), CSort(_,s2) ->
+ Miscops.glob_sort_eq s1 s2
+ | CCast(_,a1,(CastConv b1|CastVM b1)), CCast(_,a2,(CastConv b2|CastVM b2)) ->
+ constr_expr_eq a1 a2 &&
+ constr_expr_eq b1 b2
+ | CCast(_,a1,CastCoerce), CCast(_,a2, CastCoerce) ->
+ constr_expr_eq a1 a2
+ | CNotation(_, n1, s1), CNotation(_, n2, s2) ->
+ String.equal n1 n2 &&
+ constr_notation_substitution_eq s1 s2
+ | CPrim(_,i1), CPrim(_,i2) ->
+ prim_token_eq i1 i2
+ | CGeneralization (_, bk1, ak1, e1), CGeneralization (_, bk2, ak2, e2) ->
+ binding_kind_eq bk1 bk2 &&
+ Option.equal abstraction_kind_eq ak1 ak2 &&
+ constr_expr_eq e1 e2
+ | CDelimiters(_,s1,e1), CDelimiters(_,s2,e2) ->
+ String.equal s1 s2 &&
+ constr_expr_eq e1 e2
+ | _ -> false
+
+and args_eq (a1,e1) (a2,e2) =
+ Option.equal (eq_located explicitation_eq) e1 e2 &&
+ constr_expr_eq a1 a2
+
+and case_expr_eq (e1, (n1, p1)) (e2, (n2, p2)) =
+ constr_expr_eq e1 e2 &&
+ Option.equal (eq_located Name.equal) n1 n2 &&
+ Option.equal cases_pattern_expr_eq p1 p2
+
+and branch_expr_eq (_, p1, e1) (_, p2, e2) =
+ List.equal (eq_located (List.equal cases_pattern_expr_eq)) p1 p2 &&
+ constr_expr_eq e1 e2
+
+and binder_expr_eq ((n1, _, e1) : binder_expr) (n2, _, e2) =
+ (** Don't care about the [binder_kind] *)
+ List.equal (eq_located Name.equal) n1 n2 && constr_expr_eq e1 e2
+
+and fix_expr_eq (id1,(j1, r1),bl1,a1,b1) (id2,(j2, r2),bl2,a2,b2) =
+ (eq_located Id.equal id1 id2) &&
+ Option.equal (eq_located Id.equal) j1 j2 &&
+ recursion_order_expr_eq r1 r2 &&
+ List.equal local_binder_eq bl1 bl2 &&
+ constr_expr_eq a1 a2 &&
+ constr_expr_eq b1 b2
+
+and cofix_expr_eq (id1,bl1,a1,b1) (id2,bl2,a2,b2) =
+ (eq_located Id.equal id1 id2) &&
+ List.equal local_binder_eq bl1 bl2 &&
+ constr_expr_eq a1 a2 &&
+ constr_expr_eq b1 b2
+
+and recursion_order_expr_eq r1 r2 = match r1, r2 with
+| CStructRec, CStructRec -> true
+| CWfRec e1, CWfRec e2 -> constr_expr_eq e1 e2
+| CMeasureRec (e1, o1), CMeasureRec (e2, o2) ->
+ constr_expr_eq e1 e2 && Option.equal constr_expr_eq o1 o2
+| _ -> false
+
+and local_binder_eq l1 l2 = match l1, l2 with
+| LocalRawDef (n1, e1), LocalRawDef (n2, e2) ->
+ eq_located Name.equal n1 n2 && constr_expr_eq e1 e2
+| LocalRawAssum (n1, _, e1), LocalRawAssum (n2, _, e2) ->
+ (** Don't care about the [binder_kind] *)
+ List.equal (eq_located Name.equal) n1 n2 && constr_expr_eq e1 e2
+| _ -> false
+
+and constr_notation_substitution_eq (e1, el1, bl1) (e2, el2, bl2) =
+ List.equal constr_expr_eq e1 e2 &&
+ List.equal (List.equal constr_expr_eq) el1 el2 &&
+ List.equal (List.equal local_binder_eq) bl1 bl2
+
+and instance_eq (x1,c1) (x2,c2) =
+ Id.equal x1 x2 && constr_expr_eq c1 c2
+
+let constr_loc = function
+ | CRef (Ident (loc,_),_) -> loc
+ | CRef (Qualid (loc,_),_) -> loc
+ | CFix (loc,_,_) -> loc
+ | CCoFix (loc,_,_) -> loc
+ | CProdN (loc,_,_) -> loc
+ | CLambdaN (loc,_,_) -> loc
+ | CLetIn (loc,_,_,_) -> loc
+ | CAppExpl (loc,_,_) -> loc
+ | CApp (loc,_,_) -> loc
+ | CRecord (loc,_,_) -> loc
+ | CCases (loc,_,_,_,_) -> loc
+ | CLetTuple (loc,_,_,_,_) -> loc
+ | CIf (loc,_,_,_,_) -> loc
+ | CHole (loc,_,_,_) -> loc
+ | CPatVar (loc,_) -> loc
+ | CEvar (loc,_,_) -> loc
+ | CSort (loc,_) -> loc
+ | CCast (loc,_,_) -> loc
+ | CNotation (loc,_,_) -> loc
+ | CGeneralization (loc,_,_,_) -> loc
+ | CPrim (loc,_) -> loc
+ | CDelimiters (loc,_,_) -> loc
+
+let cases_pattern_expr_loc = function
+ | CPatAlias (loc,_,_) -> loc
+ | CPatCstr (loc,_,_,_) -> loc
+ | CPatAtom (loc,_) -> loc
+ | CPatOr (loc,_) -> loc
+ | CPatNotation (loc,_,_,_) -> loc
+ | CPatRecord (loc, _) -> loc
+ | CPatPrim (loc,_) -> loc
+ | CPatDelimiters (loc,_,_) -> loc
+
+let raw_cases_pattern_expr_loc = function
+ | RCPatAlias (loc,_,_) -> loc
+ | RCPatCstr (loc,_,_,_) -> loc
+ | RCPatAtom (loc,_) -> loc
+ | RCPatOr (loc,_) -> loc
+
+let local_binder_loc = function
+ | LocalRawAssum ((loc,_)::_,_,t)
+ | LocalRawDef ((loc,_),t) -> Loc.merge loc (constr_loc t)
+ | LocalRawAssum ([],_,_) -> assert false
+
+let local_binders_loc bll = match bll with
+ | [] -> Loc.ghost
+ | h :: l ->
+ Loc.merge (local_binder_loc h) (local_binder_loc (List.last bll))
+
+(** Pseudo-constructors *)
+
+let mkIdentC id = CRef (Ident (Loc.ghost, id),None)
+let mkRefC r = CRef (r,None)
+let mkCastC (a,k) = CCast (Loc.ghost,a,k)
+let mkLambdaC (idl,bk,a,b) = CLambdaN (Loc.ghost,[idl,bk,a],b)
+let mkLetInC (id,a,b) = CLetIn (Loc.ghost,id,a,b)
+let mkProdC (idl,bk,a,b) = CProdN (Loc.ghost,[idl,bk,a],b)
+
+let mkAppC (f,l) =
+ let l = List.map (fun x -> (x,None)) l in
+ match f with
+ | CApp (_,g,l') -> CApp (Loc.ghost, g, l' @ l)
+ | _ -> CApp (Loc.ghost, (None, f), l)
+
+let rec mkCProdN loc bll c =
+ match bll with
+ | LocalRawAssum ((loc1,_)::_ as idl,bk,t) :: bll ->
+ CProdN (loc,[idl,bk,t],mkCProdN (Loc.merge loc1 loc) bll c)
+ | LocalRawDef ((loc1,_) as id,b) :: bll ->
+ CLetIn (loc,id,b,mkCProdN (Loc.merge loc1 loc) bll c)
+ | [] -> c
+ | LocalRawAssum ([],_,_) :: bll -> mkCProdN loc bll c
+
+let rec mkCLambdaN loc bll c =
+ match bll with
+ | LocalRawAssum ((loc1,_)::_ as idl,bk,t) :: bll ->
+ CLambdaN (loc,[idl,bk,t],mkCLambdaN (Loc.merge loc1 loc) bll c)
+ | LocalRawDef ((loc1,_) as id,b) :: bll ->
+ CLetIn (loc,id,b,mkCLambdaN (Loc.merge loc1 loc) bll c)
+ | [] -> c
+ | LocalRawAssum ([],_,_) :: bll -> mkCLambdaN loc bll c
+
+let rec abstract_constr_expr c = function
+ | [] -> c
+ | LocalRawDef (x,b)::bl -> mkLetInC(x,b,abstract_constr_expr c bl)
+ | LocalRawAssum (idl,bk,t)::bl ->
+ List.fold_right (fun x b -> mkLambdaC([x],bk,t,b)) idl
+ (abstract_constr_expr c bl)
+
+let rec prod_constr_expr c = function
+ | [] -> c
+ | LocalRawDef (x,b)::bl -> mkLetInC(x,b,prod_constr_expr c bl)
+ | LocalRawAssum (idl,bk,t)::bl ->
+ List.fold_right (fun x b -> mkProdC([x],bk,t,b)) idl
+ (prod_constr_expr c bl)
+
+let coerce_reference_to_id = function
+ | Ident (_,id) -> id
+ | Qualid (loc,_) ->
+ Errors.user_err_loc (loc, "coerce_reference_to_id",
+ str "This expression should be a simple identifier.")
+
+let coerce_to_id = function
+ | CRef (Ident (loc,id),_) -> (loc,id)
+ | a -> Errors.user_err_loc
+ (constr_loc a,"coerce_to_id",
+ str "This expression should be a simple identifier.")
+
+let coerce_to_name = function
+ | CRef (Ident (loc,id),_) -> (loc,Name id)
+ | CHole (loc,_,_,_) -> (loc,Anonymous)
+ | a -> Errors.user_err_loc
+ (constr_loc a,"coerce_to_name",
+ str "This expression should be a name.")