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-rw-r--r--kernel/constr.ml455
1 files changed, 333 insertions, 122 deletions
diff --git a/kernel/constr.ml b/kernel/constr.ml
index c3e6095363..9bf743152f 100644
--- a/kernel/constr.ml
+++ b/kernel/constr.ml
@@ -1,9 +1,11 @@
(************************************************************************)
-(* v * The Coq Proof Assistant / The Coq Development Team *)
-(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2017 *)
+(* * The Coq Proof Assistant / The Coq Development Team *)
+(* v * INRIA, CNRS and contributors - Copyright 1999-2018 *)
+(* <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 *)
+(* // * 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) *)
(************************************************************************)
(* File initially created by Gérard Huet and Thierry Coquand in 1984 *)
@@ -75,7 +77,7 @@ type ('constr, 'types) pfixpoint =
type ('constr, 'types) pcofixpoint =
int * ('constr, 'types) prec_declaration
type 'a puniverses = 'a Univ.puniverses
-type pconstant = constant puniverses
+type pconstant = Constant.t puniverses
type pinductive = inductive puniverses
type pconstructor = constructor puniverses
@@ -92,34 +94,26 @@ type ('constr, 'types, 'sort, 'univs) kind_of_term =
| Lambda of Name.t * 'types * 'constr
| LetIn of Name.t * 'constr * 'types * 'constr
| App of 'constr * 'constr array
- | Const of (constant * 'univs)
+ | Const of (Constant.t * 'univs)
| Ind of (inductive * 'univs)
| Construct of (constructor * 'univs)
| Case of case_info * 'constr * 'constr * 'constr array
| Fix of ('constr, 'types) pfixpoint
| CoFix of ('constr, 'types) pcofixpoint
- | Proj of projection * 'constr
+ | Proj of Projection.t * 'constr
(* constr is the fixpoint of the previous type. Requires option
-rectypes of the Caml compiler to be set *)
type t = (t, t, Sorts.t, Instance.t) kind_of_term
type constr = t
type existential = existential_key * constr array
-type rec_declaration = Name.t array * constr array * constr array
-type fixpoint = (int array * int) * rec_declaration
- (* The array of [int]'s tells for each component of the array of
- mutual fixpoints the number of lambdas to skip before finding the
- recursive argument (e.g., value is 2 in "fix f (x:A) (y:=t) (z:B)
- (v:=u) (w:I) {struct w}"), telling to skip x and z and that w is
- the recursive argument);
- The second component [int] tells which component of the block is
- returned *)
-type cofixpoint = int * rec_declaration
- (* The component [int] tells which component of the block of
- cofixpoint is returned *)
type types = constr
+type rec_declaration = (constr, types) prec_declaration
+type fixpoint = (constr, types) pfixpoint
+type cofixpoint = (constr, types) pcofixpoint
+
(*********************)
(* Term constructors *)
(*********************)
@@ -136,8 +130,8 @@ let mkProp = Sort Sorts.prop
let mkSet = Sort Sorts.set
let mkType u = Sort (Sorts.Type u)
let mkSort = function
- | Sorts.Prop Sorts.Null -> mkProp (* Easy sharing *)
- | Sorts.Prop Sorts.Pos -> mkSet
+ | Sorts.Prop -> mkProp (* Easy sharing *)
+ | Sorts.Set -> mkSet
| s -> Sort s
(* Constructs the term t1::t2, i.e. the term t1 casted with the type t2 *)
@@ -233,7 +227,6 @@ let mkMeta n = Meta n
(* Constructs a Variable named id *)
let mkVar id = Var id
-
(************************************************************************)
(* kind_of_term = constructions as seen by the user *)
(************************************************************************)
@@ -250,6 +243,168 @@ let of_kind = function
| Cast (c, knd, t) -> mkCast (c, knd, t)
| k -> k
+(**********************************************************************)
+(* Non primitive term destructors *)
+(**********************************************************************)
+
+(* Destructor operations : partial functions
+ Raise [DestKO] if the const has not the expected form *)
+
+exception DestKO
+
+let isMeta c = match kind c with Meta _ -> true | _ -> false
+
+(* Destructs a type *)
+let isSort c = match kind c with
+ | Sort _ -> true
+ | _ -> false
+
+let rec isprop c = match kind c with
+ | Sort (Sorts.Prop | Sorts.Set) -> true
+ | Cast (c,_,_) -> isprop c
+ | _ -> false
+
+let rec is_Prop c = match kind c with
+ | Sort Sorts.Prop -> true
+ | Cast (c,_,_) -> is_Prop c
+ | _ -> false
+
+let rec is_Set c = match kind c with
+ | Sort Sorts.Set -> true
+ | Cast (c,_,_) -> is_Set c
+ | _ -> false
+
+let rec is_Type c = match kind c with
+ | Sort (Sorts.Type _) -> true
+ | Cast (c,_,_) -> is_Type c
+ | _ -> false
+
+let is_small = Sorts.is_small
+let iskind c = isprop c || is_Type c
+
+(* Tests if an evar *)
+let isEvar c = match kind c with Evar _ -> true | _ -> false
+let isEvar_or_Meta c = match kind c with
+ | Evar _ | Meta _ -> true
+ | _ -> false
+
+let isCast c = match kind c with Cast _ -> true | _ -> false
+(* Tests if a de Bruijn index *)
+let isRel c = match kind c with Rel _ -> true | _ -> false
+let isRelN n c =
+ match kind c with Rel n' -> Int.equal n n' | _ -> false
+(* Tests if a variable *)
+let isVar c = match kind c with Var _ -> true | _ -> false
+let isVarId id c = match kind c with Var id' -> Id.equal id id' | _ -> false
+(* Tests if an inductive *)
+let isInd c = match kind c with Ind _ -> true | _ -> false
+let isProd c = match kind c with | Prod _ -> true | _ -> false
+let isLambda c = match kind c with | Lambda _ -> true | _ -> false
+let isLetIn c = match kind c with LetIn _ -> true | _ -> false
+let isApp c = match kind c with App _ -> true | _ -> false
+let isConst c = match kind c with Const _ -> true | _ -> false
+let isConstruct c = match kind c with Construct _ -> true | _ -> false
+let isCase c = match kind c with Case _ -> true | _ -> false
+let isProj c = match kind c with Proj _ -> true | _ -> false
+let isFix c = match kind c with Fix _ -> true | _ -> false
+let isCoFix c = match kind c with CoFix _ -> true | _ -> false
+
+(* Destructs a de Bruijn index *)
+let destRel c = match kind c with
+ | Rel n -> n
+ | _ -> raise DestKO
+
+(* Destructs an existential variable *)
+let destMeta c = match kind c with
+ | Meta n -> n
+ | _ -> raise DestKO
+
+(* Destructs a variable *)
+let destVar c = match kind c with
+ | Var id -> id
+ | _ -> raise DestKO
+
+let destSort c = match kind c with
+ | Sort s -> s
+ | _ -> raise DestKO
+
+(* Destructs a casted term *)
+let destCast c = match kind c with
+ | Cast (t1,k,t2) -> (t1,k,t2)
+ | _ -> raise DestKO
+
+(* Destructs the product (x:t1)t2 *)
+let destProd c = match kind c with
+ | Prod (x,t1,t2) -> (x,t1,t2)
+ | _ -> raise DestKO
+
+(* Destructs the abstraction [x:t1]t2 *)
+let destLambda c = match kind c with
+ | Lambda (x,t1,t2) -> (x,t1,t2)
+ | _ -> raise DestKO
+
+(* Destructs the let [x:=b:t1]t2 *)
+let destLetIn c = match kind c with
+ | LetIn (x,b,t1,t2) -> (x,b,t1,t2)
+ | _ -> raise DestKO
+
+(* Destructs an application *)
+let destApp c = match kind c with
+ | App (f,a) -> (f, a)
+ | _ -> raise DestKO
+
+(* Destructs a constant *)
+let destConst c = match kind c with
+ | Const kn -> kn
+ | _ -> raise DestKO
+
+(* Destructs an existential variable *)
+let destEvar c = match kind c with
+ | Evar (kn, a as r) -> r
+ | _ -> raise DestKO
+
+(* Destructs a (co)inductive type named kn *)
+let destInd c = match kind c with
+ | Ind (kn, a as r) -> r
+ | _ -> raise DestKO
+
+(* Destructs a constructor *)
+let destConstruct c = match kind c with
+ | Construct (kn, a as r) -> r
+ | _ -> raise DestKO
+
+(* Destructs a term <p>Case c of lc1 | lc2 .. | lcn end *)
+let destCase c = match kind c with
+ | Case (ci,p,c,v) -> (ci,p,c,v)
+ | _ -> raise DestKO
+
+let destProj c = match kind c with
+ | Proj (p, c) -> (p, c)
+ | _ -> raise DestKO
+
+let destFix c = match kind c with
+ | Fix fix -> fix
+ | _ -> raise DestKO
+
+let destCoFix c = match kind c with
+ | CoFix cofix -> cofix
+ | _ -> raise DestKO
+
+
+(******************************************************************)
+(* Flattening and unflattening of embedded applications and casts *)
+(******************************************************************)
+
+let decompose_app c =
+ match kind c with
+ | App (f,cl) -> (f, Array.to_list cl)
+ | _ -> (c,[])
+
+let decompose_appvect c =
+ match kind c with
+ | App (f,cl) -> (f, cl)
+ | _ -> (c,[||])
+
(****************************************************************************)
(* Functions to recur through subterms *)
(****************************************************************************)
@@ -305,16 +460,44 @@ let iter_with_binders g f n c = match kind c with
| Prod (_,t,c) -> f n t; f (g n) c
| Lambda (_,t,c) -> f n t; f (g n) c
| LetIn (_,b,t,c) -> f n b; f n t; f (g n) c
- | App (c,l) -> f n c; CArray.Fun1.iter f n l
- | Evar (_,l) -> CArray.Fun1.iter f n l
- | Case (_,p,c,bl) -> f n p; f n c; CArray.Fun1.iter f n bl
+ | App (c,l) -> f n c; Array.Fun1.iter f n l
+ | Evar (_,l) -> Array.Fun1.iter f n l
+ | Case (_,p,c,bl) -> f n p; f n c; Array.Fun1.iter f n bl
| Proj (p,c) -> f n c
| Fix (_,(_,tl,bl)) ->
- CArray.Fun1.iter f n tl;
- CArray.Fun1.iter f (iterate g (Array.length tl) n) bl
+ Array.Fun1.iter f n tl;
+ Array.Fun1.iter f (iterate g (Array.length tl) n) bl
| CoFix (_,(_,tl,bl)) ->
- CArray.Fun1.iter f n tl;
- CArray.Fun1.iter f (iterate g (Array.length tl) n) bl
+ Array.Fun1.iter f n tl;
+ Array.Fun1.iter f (iterate g (Array.length tl) n) bl
+
+(* [fold_constr_with_binders g f n acc c] folds [f n] on the immediate
+ subterms of [c] starting from [acc] and proceeding from left to
+ right according to the usual representation of the constructions as
+ [fold_constr] but it carries an extra data [n] (typically a lift
+ index) which is processed by [g] (which typically add 1 to [n]) at
+ each binder traversal; it is not recursive *)
+
+let fold_constr_with_binders g f n acc c =
+ match kind c with
+ | (Rel _ | Meta _ | Var _ | Sort _ | Const _ | Ind _
+ | Construct _) -> acc
+ | Cast (c,_, t) -> f n (f n acc c) t
+ | Prod (na,t,c) -> f (g n) (f n acc t) c
+ | Lambda (na,t,c) -> f (g n) (f n acc t) c
+ | LetIn (na,b,t,c) -> f (g n) (f n (f n acc b) t) c
+ | App (c,l) -> Array.fold_left (f n) (f n acc c) l
+ | Proj (p,c) -> f n acc c
+ | Evar (_,l) -> Array.fold_left (f n) acc l
+ | Case (_,p,c,bl) -> Array.fold_left (f n) (f n (f n acc p) c) bl
+ | Fix (_,(lna,tl,bl)) ->
+ let n' = CArray.fold_left2 (fun c n t -> g c) n lna tl in
+ let fd = Array.map2 (fun t b -> (t,b)) tl bl in
+ Array.fold_left (fun acc (t,b) -> f n' (f n acc t) b) acc fd
+ | CoFix (_,(lna,tl,bl)) ->
+ let n' = CArray.fold_left2 (fun c n t -> g c) n lna tl in
+ let fd = Array.map2 (fun t b -> (t,b)) tl bl in
+ Array.fold_left (fun acc (t,b) -> f n' (f n acc t) b) acc fd
(* [map f c] maps [f] on the immediate subterms of [c]; it is
not recursive and the order with which subterms are processed is
@@ -346,7 +529,7 @@ let map f c = match kind c with
else mkLetIn (na, b', t', k')
| App (b,l) ->
let b' = f b in
- let l' = Array.smartmap f l in
+ let l' = Array.Smart.map f l in
if b'==b && l'==l then c
else mkApp (b', l')
| Proj (p,t) ->
@@ -354,23 +537,23 @@ let map f c = match kind c with
if t' == t then c
else mkProj (p, t')
| Evar (e,l) ->
- let l' = Array.smartmap f l in
+ let l' = Array.Smart.map f l in
if l'==l then c
else mkEvar (e, l')
| Case (ci,p,b,bl) ->
let b' = f b in
let p' = f p in
- let bl' = Array.smartmap f bl in
+ let bl' = Array.Smart.map f bl in
if b'==b && p'==p && bl'==bl then c
else mkCase (ci, p', b', bl')
| Fix (ln,(lna,tl,bl)) ->
- let tl' = Array.smartmap f tl in
- let bl' = Array.smartmap f bl in
+ let tl' = Array.Smart.map f tl in
+ let bl' = Array.Smart.map f bl in
if tl'==tl && bl'==bl then c
else mkFix (ln,(lna,tl',bl'))
| CoFix(ln,(lna,tl,bl)) ->
- let tl' = Array.smartmap f tl in
- let bl' = Array.smartmap f bl in
+ let tl' = Array.Smart.map f tl in
+ let bl' = Array.Smart.map f bl in
if tl'==tl && bl'==bl then c
else mkCoFix (ln,(lna,tl',bl'))
@@ -402,7 +585,7 @@ let fold_map f accu c = match kind c with
else accu, mkLetIn (na, b', t', k')
| App (b,l) ->
let accu, b' = f accu b in
- let accu, l' = Array.smartfoldmap f accu l in
+ let accu, l' = Array.Smart.fold_left_map f accu l in
if b'==b && l'==l then accu, c
else accu, mkApp (b', l')
| Proj (p,t) ->
@@ -410,23 +593,23 @@ let fold_map f accu c = match kind c with
if t' == t then accu, c
else accu, mkProj (p, t')
| Evar (e,l) ->
- let accu, l' = Array.smartfoldmap f accu l in
+ let accu, l' = Array.Smart.fold_left_map f accu l in
if l'==l then accu, c
else accu, mkEvar (e, l')
| Case (ci,p,b,bl) ->
let accu, b' = f accu b in
let accu, p' = f accu p in
- let accu, bl' = Array.smartfoldmap f accu bl in
+ let accu, bl' = Array.Smart.fold_left_map f accu bl in
if b'==b && p'==p && bl'==bl then accu, c
else accu, mkCase (ci, p', b', bl')
| Fix (ln,(lna,tl,bl)) ->
- let accu, tl' = Array.smartfoldmap f accu tl in
- let accu, bl' = Array.smartfoldmap f accu bl in
+ let accu, tl' = Array.Smart.fold_left_map f accu tl in
+ let accu, bl' = Array.Smart.fold_left_map f accu bl in
if tl'==tl && bl'==bl then accu, c
else accu, mkFix (ln,(lna,tl',bl'))
| CoFix(ln,(lna,tl,bl)) ->
- let accu, tl' = Array.smartfoldmap f accu tl in
- let accu, bl' = Array.smartfoldmap f accu bl in
+ let accu, tl' = Array.Smart.fold_left_map f accu tl in
+ let accu, bl' = Array.Smart.fold_left_map f accu bl in
if tl'==tl && bl'==bl then accu, c
else accu, mkCoFix (ln,(lna,tl',bl'))
@@ -462,7 +645,7 @@ let map_with_binders g f l c0 = match kind c0 with
else mkLetIn (na, b', t', c')
| App (c, al) ->
let c' = f l c in
- let al' = CArray.Fun1.smartmap f l al in
+ let al' = Array.Fun1.Smart.map f l al in
if c' == c && al' == al then c0
else mkApp (c', al')
| Proj (p, t) ->
@@ -470,27 +653,32 @@ let map_with_binders g f l c0 = match kind c0 with
if t' == t then c0
else mkProj (p, t')
| Evar (e, al) ->
- let al' = CArray.Fun1.smartmap f l al in
+ let al' = Array.Fun1.Smart.map f l al in
if al' == al then c0
else mkEvar (e, al')
| Case (ci, p, c, bl) ->
let p' = f l p in
let c' = f l c in
- let bl' = CArray.Fun1.smartmap f l bl in
+ let bl' = Array.Fun1.Smart.map f l bl in
if p' == p && c' == c && bl' == bl then c0
else mkCase (ci, p', c', bl')
| Fix (ln, (lna, tl, bl)) ->
- let tl' = CArray.Fun1.smartmap f l tl in
+ let tl' = Array.Fun1.Smart.map f l tl in
let l' = iterate g (Array.length tl) l in
- let bl' = CArray.Fun1.smartmap f l' bl in
+ let bl' = Array.Fun1.Smart.map f l' bl in
if tl' == tl && bl' == bl then c0
else mkFix (ln,(lna,tl',bl'))
| CoFix(ln,(lna,tl,bl)) ->
- let tl' = CArray.Fun1.smartmap f l tl in
+ let tl' = Array.Fun1.Smart.map f l tl in
let l' = iterate g (Array.length tl) l in
- let bl' = CArray.Fun1.smartmap f l' bl in
+ let bl' = Array.Fun1.Smart.map f l' bl in
mkCoFix (ln,(lna,tl',bl'))
+type instance_compare_fn = GlobRef.t -> int ->
+ Univ.Instance.t -> Univ.Instance.t -> bool
+
+type constr_compare_fn = int -> constr -> constr -> bool
+
(* [compare_head_gen_evar k1 k2 u s e eq leq c1 c2] compare [c1] and
[c2] (using [k1] to expose the structure of [c1] and [k2] to expose
the structure [c2]) using [eq] to compare the immediate subterms of
@@ -502,35 +690,42 @@ let map_with_binders g f l c0 = match kind c0 with
optimisation that physically equal arrays are equals (hence the
calls to {!Array.equal_norefl}). *)
-let compare_head_gen_leq_with kind1 kind2 eq_universes leq_sorts eq leq t1 t2 =
+let compare_head_gen_leq_with kind1 kind2 leq_universes leq_sorts eq leq nargs t1 t2 =
match kind1 t1, kind2 t2 with
| Rel n1, Rel n2 -> Int.equal n1 n2
| Meta m1, Meta m2 -> Int.equal m1 m2
| Var id1, Var id2 -> Id.equal id1 id2
| Sort s1, Sort s2 -> leq_sorts s1 s2
- | Cast (c1,_,_), _ -> leq c1 t2
- | _, Cast (c2,_,_) -> leq t1 c2
- | Prod (_,t1,c1), Prod (_,t2,c2) -> eq t1 t2 && leq c1 c2
- | Lambda (_,t1,c1), Lambda (_,t2,c2) -> eq t1 t2 && eq c1 c2
- | LetIn (_,b1,t1,c1), LetIn (_,b2,t2,c2) -> eq b1 b2 && eq t1 t2 && leq c1 c2
- | App (Cast(c1, _, _),l1), _ -> leq (mkApp (c1,l1)) t2
- | _, App (Cast (c2, _, _),l2) -> leq t1 (mkApp (c2,l2))
- | App (c1,l1), App (c2,l2) ->
- Int.equal (Array.length l1) (Array.length l2) &&
- eq c1 c2 && Array.equal_norefl eq l1 l2
- | Proj (p1,c1), Proj (p2,c2) -> Projection.equal p1 p2 && eq c1 c2
- | Evar (e1,l1), Evar (e2,l2) -> Evar.equal e1 e2 && Array.equal eq l1 l2
- | Const (c1,u1), Const (c2,u2) -> eq_constant c1 c2 && eq_universes true u1 u2
- | Ind (c1,u1), Ind (c2,u2) -> eq_ind c1 c2 && eq_universes false u1 u2
- | Construct (c1,u1), Construct (c2,u2) -> eq_constructor c1 c2 && eq_universes false u1 u2
+ | Cast (c1, _, _), _ -> leq nargs c1 t2
+ | _, Cast (c2, _, _) -> leq nargs t1 c2
+ | Prod (_,t1,c1), Prod (_,t2,c2) -> eq 0 t1 t2 && leq 0 c1 c2
+ | Lambda (_,t1,c1), Lambda (_,t2,c2) -> eq 0 t1 t2 && eq 0 c1 c2
+ | LetIn (_,b1,t1,c1), LetIn (_,b2,t2,c2) -> eq 0 b1 b2 && eq 0 t1 t2 && leq nargs c1 c2
+ (* Why do we suddenly make a special case for Cast here? *)
+ | App (Cast (c1, _, _), l1), _ -> leq nargs (mkApp (c1, l1)) t2
+ | _, App (Cast (c2, _, _), l2) -> leq nargs t1 (mkApp (c2, l2))
+ | App (c1, l1), App (c2, l2) ->
+ let len = Array.length l1 in
+ Int.equal len (Array.length l2) &&
+ eq (nargs+len) c1 c2 && Array.equal_norefl (eq 0) l1 l2
+ | Proj (p1,c1), Proj (p2,c2) -> Projection.equal p1 p2 && eq 0 c1 c2
+ | Evar (e1,l1), Evar (e2,l2) -> Evar.equal e1 e2 && Array.equal (eq 0) l1 l2
+ | Const (c1,u1), Const (c2,u2) ->
+ (* The args length currently isn't used but may as well pass it. *)
+ Constant.equal c1 c2 && leq_universes (GlobRef.ConstRef c1) nargs u1 u2
+ | Ind (c1,u1), Ind (c2,u2) -> eq_ind c1 c2 && leq_universes (GlobRef.IndRef c1) nargs u1 u2
+ | Construct (c1,u1), Construct (c2,u2) ->
+ eq_constructor c1 c2 && leq_universes (GlobRef.ConstructRef c1) nargs u1 u2
| Case (_,p1,c1,bl1), Case (_,p2,c2,bl2) ->
- eq p1 p2 && eq c1 c2 && Array.equal eq bl1 bl2
+ eq 0 p1 p2 && eq 0 c1 c2 && Array.equal (eq 0) bl1 bl2
| Fix ((ln1, i1),(_,tl1,bl1)), Fix ((ln2, i2),(_,tl2,bl2)) ->
- Int.equal i1 i2 && Array.equal Int.equal ln1 ln2
- && Array.equal_norefl eq tl1 tl2 && Array.equal_norefl eq bl1 bl2
+ Int.equal i1 i2 && Array.equal Int.equal ln1 ln2
+ && Array.equal_norefl (eq 0) tl1 tl2 && Array.equal_norefl (eq 0) bl1 bl2
| CoFix(ln1,(_,tl1,bl1)), CoFix(ln2,(_,tl2,bl2)) ->
- Int.equal ln1 ln2 && Array.equal_norefl eq tl1 tl2 && Array.equal_norefl eq bl1 bl2
- | _ -> false
+ Int.equal ln1 ln2 && Array.equal_norefl (eq 0) tl1 tl2 && Array.equal_norefl (eq 0) bl1 bl2
+ | (Rel _ | Meta _ | Var _ | Sort _ | Prod _ | Lambda _ | LetIn _ | App _
+ | Proj _ | Evar _ | Const _ | Ind _ | Construct _ | Case _ | Fix _
+ | CoFix _), _ -> false
(* [compare_head_gen_leq u s eq leq c1 c2] compare [c1] and [c2] using [eq] to compare
the immediate subterms of [c1] of [c2] for conversion if needed, [leq] for cumulativity,
@@ -538,8 +733,8 @@ let compare_head_gen_leq_with kind1 kind2 eq_universes leq_sorts eq leq t1 t2 =
application associativity, binders name and Cases annotations are
not taken into account *)
-let compare_head_gen_leq eq_universes leq_sorts eq leq t1 t2 =
- compare_head_gen_leq_with kind kind eq_universes leq_sorts eq leq t1 t2
+let compare_head_gen_leq leq_universes leq_sorts eq leq t1 t2 =
+ compare_head_gen_leq_with kind kind leq_universes leq_sorts eq leq t1 t2
(* [compare_head_gen u s f c1 c2] compare [c1] and [c2] using [f] to
compare the immediate subterms of [c1] of [c2] if needed, [u] to
@@ -556,7 +751,7 @@ let compare_head_gen_with kind1 kind2 eq_universes eq_sorts eq t1 t2 =
let compare_head_gen eq_universes eq_sorts eq t1 t2 =
compare_head_gen_leq eq_universes eq_sorts eq eq t1 t2
-let compare_head = compare_head_gen (fun _ -> Univ.Instance.equal) Sorts.equal
+let compare_head = compare_head_gen (fun _ _ -> Univ.Instance.equal) Sorts.equal
(*******************************)
(* alpha conversion functions *)
@@ -564,41 +759,41 @@ let compare_head = compare_head_gen (fun _ -> Univ.Instance.equal) Sorts.equal
(* alpha conversion : ignore print names and casts *)
-let rec eq_constr m n =
- (m == n) || compare_head_gen (fun _ -> Instance.equal) Sorts.equal eq_constr m n
+let rec eq_constr nargs m n =
+ (m == n) || compare_head_gen (fun _ _ -> Instance.equal) Sorts.equal eq_constr nargs m n
-let equal m n = eq_constr m n (* to avoid tracing a recursive fun *)
+let equal n m = eq_constr 0 m n (* to avoid tracing a recursive fun *)
let eq_constr_univs univs m n =
if m == n then true
else
- let eq_universes _ = UGraph.check_eq_instances univs in
+ let eq_universes _ _ = UGraph.check_eq_instances univs in
let eq_sorts s1 s2 = s1 == s2 || UGraph.check_eq univs (Sorts.univ_of_sort s1) (Sorts.univ_of_sort s2) in
- let rec eq_constr' m n =
- m == n || compare_head_gen eq_universes eq_sorts eq_constr' m n
- in compare_head_gen eq_universes eq_sorts eq_constr' m n
+ let rec eq_constr' nargs m n =
+ m == n || compare_head_gen eq_universes eq_sorts eq_constr' nargs m n
+ in compare_head_gen eq_universes eq_sorts eq_constr' 0 m n
let leq_constr_univs univs m n =
if m == n then true
else
- let eq_universes _ = UGraph.check_eq_instances univs in
+ let eq_universes _ _ = UGraph.check_eq_instances univs in
let eq_sorts s1 s2 = s1 == s2 ||
UGraph.check_eq univs (Sorts.univ_of_sort s1) (Sorts.univ_of_sort s2) in
let leq_sorts s1 s2 = s1 == s2 ||
UGraph.check_leq univs (Sorts.univ_of_sort s1) (Sorts.univ_of_sort s2) in
- let rec eq_constr' m n =
- m == n || compare_head_gen eq_universes eq_sorts eq_constr' m n
+ let rec eq_constr' nargs m n =
+ m == n || compare_head_gen eq_universes eq_sorts eq_constr' nargs m n
in
- let rec compare_leq m n =
- compare_head_gen_leq eq_universes leq_sorts eq_constr' leq_constr' m n
- and leq_constr' m n = m == n || compare_leq m n in
- compare_leq m n
+ let rec compare_leq nargs m n =
+ compare_head_gen_leq eq_universes leq_sorts eq_constr' leq_constr' nargs m n
+ and leq_constr' nargs m n = m == n || compare_leq nargs m n in
+ compare_leq 0 m n
let eq_constr_univs_infer univs m n =
if m == n then true, Constraint.empty
else
let cstrs = ref Constraint.empty in
- let eq_universes strict = UGraph.check_eq_instances univs in
+ let eq_universes _ _ = UGraph.check_eq_instances univs in
let eq_sorts s1 s2 =
if Sorts.equal s1 s2 then true
else
@@ -608,17 +803,17 @@ let eq_constr_univs_infer univs m n =
(cstrs := Univ.enforce_eq u1 u2 !cstrs;
true)
in
- let rec eq_constr' m n =
- m == n || compare_head_gen eq_universes eq_sorts eq_constr' m n
+ let rec eq_constr' nargs m n =
+ m == n || compare_head_gen eq_universes eq_sorts eq_constr' nargs m n
in
- let res = compare_head_gen eq_universes eq_sorts eq_constr' m n in
+ let res = compare_head_gen eq_universes eq_sorts eq_constr' 0 m n in
res, !cstrs
let leq_constr_univs_infer univs m n =
if m == n then true, Constraint.empty
else
let cstrs = ref Constraint.empty in
- let eq_universes strict l l' = UGraph.check_eq_instances univs l l' in
+ let eq_universes _ _ l l' = UGraph.check_eq_instances univs l l' in
let eq_sorts s1 s2 =
if Sorts.equal s1 s2 then true
else
@@ -633,25 +828,22 @@ let leq_constr_univs_infer univs m n =
let u1 = Sorts.univ_of_sort s1 and u2 = Sorts.univ_of_sort s2 in
if UGraph.check_leq univs u1 u2 then true
else
- (cstrs := Univ.enforce_leq u1 u2 !cstrs;
- true)
+ (try let c, _ = UGraph.enforce_leq_alg u1 u2 univs in
+ cstrs := Univ.Constraint.union c !cstrs;
+ true
+ with Univ.UniverseInconsistency _ -> false)
in
- let rec eq_constr' m n =
- m == n || compare_head_gen eq_universes eq_sorts eq_constr' m n
+ let rec eq_constr' nargs m n =
+ m == n || compare_head_gen eq_universes eq_sorts eq_constr' nargs m n
in
- let rec compare_leq m n =
- compare_head_gen_leq eq_universes leq_sorts eq_constr' leq_constr' m n
- and leq_constr' m n = m == n || compare_leq m n in
- let res = compare_leq m n in
+ let rec compare_leq nargs m n =
+ compare_head_gen_leq eq_universes leq_sorts eq_constr' leq_constr' nargs m n
+ and leq_constr' nargs m n = m == n || compare_leq nargs m n in
+ let res = compare_leq 0 m n in
res, !cstrs
-let always_true _ _ = true
-
let rec eq_constr_nounivs m n =
- (m == n) || compare_head_gen (fun _ -> always_true) always_true eq_constr_nounivs m n
-
-(** We only use this function over blocks! *)
-let tag t = Obj.tag (Obj.repr t)
+ (m == n) || compare_head_gen (fun _ _ _ _ -> true) (fun _ _ -> true) (fun _ -> eq_constr_nounivs) 0 m n
let constr_ord_int f t1 t2 =
let (=?) f g i1 i2 j1 j2=
@@ -664,35 +856,50 @@ let constr_ord_int f t1 t2 =
((Array.compare Int.compare) =? Int.compare) a1 a2 i1 i2
in
match kind t1, kind t2 with
+ | Cast (c1,_,_), _ -> f c1 t2
+ | _, Cast (c2,_,_) -> f t1 c2
+ (* Why this special case? *)
+ | App (Cast(c1,_,_),l1), _ -> f (mkApp (c1,l1)) t2
+ | _, App (Cast(c2, _,_),l2) -> f t1 (mkApp (c2,l2))
| Rel n1, Rel n2 -> Int.compare n1 n2
- | Meta m1, Meta m2 -> Int.compare m1 m2
+ | Rel _, _ -> -1 | _, Rel _ -> 1
| Var id1, Var id2 -> Id.compare id1 id2
+ | Var _, _ -> -1 | _, Var _ -> 1
+ | Meta m1, Meta m2 -> Int.compare m1 m2
+ | Meta _, _ -> -1 | _, Meta _ -> 1
+ | Evar (e1,l1), Evar (e2,l2) ->
+ (Evar.compare =? (Array.compare f)) e1 e2 l1 l2
+ | Evar _, _ -> -1 | _, Evar _ -> 1
| Sort s1, Sort s2 -> Sorts.compare s1 s2
- | Cast (c1,_,_), _ -> f c1 t2
- | _, Cast (c2,_,_) -> f t1 c2
+ | Sort _, _ -> -1 | _, Sort _ -> 1
| Prod (_,t1,c1), Prod (_,t2,c2)
| Lambda (_,t1,c1), Lambda (_,t2,c2) ->
(f =? f) t1 t2 c1 c2
+ | Prod _, _ -> -1 | _, Prod _ -> 1
+ | Lambda _, _ -> -1 | _, Lambda _ -> 1
| LetIn (_,b1,t1,c1), LetIn (_,b2,t2,c2) ->
((f =? f) ==? f) b1 b2 t1 t2 c1 c2
- | App (Cast(c1,_,_),l1), _ -> f (mkApp (c1,l1)) t2
- | _, App (Cast(c2, _,_),l2) -> f t1 (mkApp (c2,l2))
+ | LetIn _, _ -> -1 | _, LetIn _ -> 1
| App (c1,l1), App (c2,l2) -> (f =? (Array.compare f)) c1 c2 l1 l2
- | Proj (p1,c1), Proj (p2,c2) -> (Projection.compare =? f) p1 p2 c1 c2
- | Evar (e1,l1), Evar (e2,l2) ->
- (Evar.compare =? (Array.compare f)) e1 e2 l1 l2
- | Const (c1,u1), Const (c2,u2) -> con_ord c1 c2
+ | App _, _ -> -1 | _, App _ -> 1
+ | Const (c1,u1), Const (c2,u2) -> Constant.CanOrd.compare c1 c2
+ | Const _, _ -> -1 | _, Const _ -> 1
| Ind (ind1, u1), Ind (ind2, u2) -> ind_ord ind1 ind2
+ | Ind _, _ -> -1 | _, Ind _ -> 1
| Construct (ct1,u1), Construct (ct2,u2) -> constructor_ord ct1 ct2
+ | Construct _, _ -> -1 | _, Construct _ -> 1
| Case (_,p1,c1,bl1), Case (_,p2,c2,bl2) ->
((f =? f) ==? (Array.compare f)) p1 p2 c1 c2 bl1 bl2
+ | Case _, _ -> -1 | _, Case _ -> 1
| Fix (ln1,(_,tl1,bl1)), Fix (ln2,(_,tl2,bl2)) ->
((fix_cmp =? (Array.compare f)) ==? (Array.compare f))
ln1 ln2 tl1 tl2 bl1 bl2
+ | Fix _, _ -> -1 | _, Fix _ -> 1
| CoFix(ln1,(_,tl1,bl1)), CoFix(ln2,(_,tl2,bl2)) ->
((Int.compare =? (Array.compare f)) ==? (Array.compare f))
ln1 ln2 tl1 tl2 bl1 bl2
- | t1, t2 -> Int.compare (tag t1) (tag t2)
+ | CoFix _, _ -> -1 | _, CoFix _ -> 1
+ | Proj (p1,c1), Proj (p2,c2) -> (Projection.compare =? f) p1 p2 c1 c2
let rec compare m n=
constr_ord_int compare m n
@@ -776,7 +983,9 @@ let hasheq t1 t2 =
&& array_eqeq lna1 lna2
&& array_eqeq tl1 tl2
&& array_eqeq bl1 bl2
- | _ -> false
+ | (Rel _ | Meta _ | Var _ | Sort _ | Cast _ | Prod _ | Lambda _ | LetIn _
+ | App _ | Proj _ | Evar _ | Const _ | Ind _ | Construct _ | Case _
+ | Fix _ | CoFix _), _ -> false
(** Note that the following Make has the side effect of creating
once and for all the table we'll use for hash-consing all constr *)
@@ -1001,7 +1210,9 @@ let hcons =
(* let hcons_types = hcons_constr *)
-(*******)
-(* Type of abstract machine values *)
-(** FIXME: nothing to do there *)
-type values
+type rel_declaration = (constr, types) Context.Rel.Declaration.pt
+type named_declaration = (constr, types) Context.Named.Declaration.pt
+type compacted_declaration = (constr, types) Context.Compacted.Declaration.pt
+type rel_context = rel_declaration list
+type named_context = named_declaration list
+type compacted_context = compacted_declaration list