(* HCoop Domtool (http://hcoop.sourceforge.net/)
- * Copyright (c) 2006, Adam Chlipala
+ * Copyright (c) 2006-2007, Adam Chlipala
*
* This program is free software; you can redistribute it and/or
* modify it under the terms of the GNU General Public License
* You should have received a copy of the GNU General Public License
* along with this program; if not, write to the Free Software
* Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA.
-*)
+ *)
(* Domtool configuration language type checking *)
structure Tycheck :> TYCHECK = struct
-open Ast Print
+open Ast Print Env
structure SM = StringMap
-type env = typ SM.map
-val empty = SM.empty
+val externFlag = ref false
+fun allowExterns () = externFlag := true
+fun disallowExterns () = externFlag := false
local
val unifCount = ref 0
end
end
-exception UnequalDomains
-
-fun eqRecord f (r1, r2) =
- (SM.appi (fn (k, v1) =>
- case SM.find (r2, k) of
- NONE => raise UnequalDomains
- | SOME v2 =>
- if f (v1, v2) then
- ()
- else
- raise UnequalDomains) r1;
- SM.appi (fn (k, v2) =>
- case SM.find (r1, k) of
- NONE => raise UnequalDomains
- | SOME v1 =>
- if f (v1, v2) then
- ()
- else
- raise UnequalDomains) r2;
- true)
- handle UnequalDomains => false
-
-fun eqPred ((p1, _), (p2, _)) =
- case (p1, p2) of
- (CRoot, CRoot) => true
- | (CConst s1, CConst s2) => s1 = s2
- | (CPrefix p1, CPrefix p2) => eqPred (p1, p2)
- | (CNot p1, CNot p2) => eqPred (p1, p2)
- | (CAnd (p1, q1), CAnd (p2, q2)) =>
- eqPred (p1, p2) andalso eqPred (q1, q2)
-
- | _ => false
-
-fun eqTy (t1All as (t1, _), t2All as (t2, _)) =
- case (t1, t2) of
- (TBase s1, TBase s2) => s1 = s2
- | (TList t1, TList t2) => eqTy (t1, t2)
- | (TArrow (d1, r1), TArrow (d2, r2)) =>
- eqTy (d1, d2) andalso eqTy (r1, r2)
-
- | (TAction (p1, d1, r1), TAction (p2, d2, r2)) =>
- eqPred (p1, p2) andalso eqRecord eqTy (d1, d2)
- andalso eqRecord eqTy (r1, r2)
-
- | (TUnif (_, ref (SOME t1)), _) => eqTy (t1, t2All)
- | (_, TUnif (_, ref (SOME t2))) => eqTy (t1All, t2)
-
- | (TUnif (_, r1), TUnif (_, r2)) => r1 = r2
-
- | (TError, TError) => true
-
- | _ => false
-
-datatype unification_error =
- UnifyPred of pred * pred
- | UnifyTyp of typ * typ
- | UnifyOccurs of string * typ
-
-exception Unify of unification_error
-
-datatype type_error =
- WrongType of string * exp * typ * typ * unification_error option
- | WrongForm of string * string * exp * typ * unification_error option
- | UnboundVariable of string
-
-fun preface (s, d) = printd (PD.hovBox (PD.PPS.Rel 0,
- [PD.string s, PD.space 1, d]))
-
-fun describe_unification_error t ue =
- case ue of
- UnifyPred (p1, p2) =>
- (print "Reason: Incompatible predicates.\n";
- preface ("Have:", p_pred p1);
- preface ("Need:", p_pred p2))
- | UnifyTyp (t1, t2) =>
- if eqTy (t, t1) then
- ()
- else
- (print "Reason: Incompatible types.\n";
- preface ("Have:", p_typ t1);
- preface ("Need:", p_typ t2))
- | UnifyOccurs (name, t') =>
- if eqTy (t, t') then
- ()
- else
- (print "Reason: Occurs check failed for ";
- print name;
- print " in:\n";
- printd (p_typ t))
-
-fun describe_type_error loc te =
- case te of
- WrongType (place, e, t1, t2, ueo) =>
- (ErrorMsg.error (SOME loc) (place ^ " has wrong type.");
- preface (" Expression:", p_exp e);
- preface ("Actual type:", p_typ t1);
- preface ("Needed type:", p_typ t2);
- Option.app (describe_unification_error t1) ueo)
- | WrongForm (place, form, e, t, ueo) =>
- (ErrorMsg.error (SOME loc) (place ^ " has a non-" ^ form ^ " type.");
- preface ("Expression:", p_exp e);
- preface (" Type:", p_typ t);
- Option.app (describe_unification_error t) ueo)
- | UnboundVariable name =>
- ErrorMsg.error (SOME loc) ("Unbound variable " ^ name ^ ".\n")
fun predImplies (p1All as (p1, _), p2All as (p2, _)) =
case (p1, p2) of
- (_, CPrefix (CRoot, _)) => true
+ (_, CAnd (p1, p2)) => predImplies (p1All, p1) andalso predImplies (p1All, p2)
+ | (CAnd (p1, p2), _) => predImplies (p1, p2All) orelse predImplies (p2, p2All)
+
+ | (_, CPrefix (CRoot, _)) => true
| (CNot (CPrefix (CRoot, _), _), _) => true
| (CRoot, CRoot) => true
| (CConst s1, CConst s2) => s1 = s2
| (CPrefix p1, CPrefix p2) => predImplies (p1, p2)
+ | (_, CPrefix p2) => predImplies (p1All, p2)
| (CNot p1, CNot p2) => predImplies (p2, p1)
-
- | (_, CAnd (p1, p2)) => predImplies (p1All, p1) andalso predImplies (p1All, p2)
- | (CAnd (p1, p2), _) => predImplies (p1, p2All) orelse predImplies (p2, p2All)
+ | (CRoot, CNot (CConst _, _)) => true
+ | (CConst s1, CNot (CConst s2, _)) => s1 <> s2
| _ => false
(CAnd (c1, c2), _) => predSimpl (CAnd (c1, (CAnd (c2, p2'), loc)), loc)
| _ => if predImplies (p2', p1') then
p2'
+ else if predImplies (p1', p2') then
+ p1'
else
(CAnd (p1', p2'), loc)
end
-fun unifyPred (p1, p2) =
+fun subPred (p1, p2) =
if predImplies (p1, p2) then
()
else
raise (Unify (UnifyPred (p1, p2)))
-fun unifyRecord f (r1, r2) =
- (SM.appi (fn (k, v1) =>
- case SM.find (r2, k) of
- NONE => raise UnequalDomains
- | SOME v2 => f (v1, v2)) r1;
- SM.appi (fn (k, v2) =>
- case SM.find (r1, k) of
- NONE => raise UnequalDomains
- | SOME v1 => f (v1, v2)) r2)
+fun subRecord f (r1, r2) =
+ SM.appi (fn (k, v2) =>
+ case SM.find (r1, k) of
+ NONE => raise Describe.UnequalDomains
+ | SOME v1 => f (v1, v2)) r2
fun occurs u (t, _) =
case t of
| TAction (_, d, r) =>
List.exists (occurs u) (SM.listItems d)
orelse List.exists (occurs u) (SM.listItems r)
+ | TNested (_, t) => occurs u t
| TError => false
| TUnif (_, ref (SOME t)) => occurs u t
| TUnif (_, u') => u = u'
-fun unify (t1All as (t1, _), t2All as (t2, _)) =
+fun subTyp (t1All as (t1, _), t2All as (t2, _)) =
case (t1, t2) of
(TBase s1, TBase s2) =>
if s1 = s2 then
()
else
raise Unify (UnifyTyp (t1All, t2All))
- | (TList t1, TList t2) => unify (t1, t2)
+ | (TList t1, TList t2) => subTyp (t1, t2)
| (TArrow (d1, r1), TArrow (d2, r2)) =>
- (unify (d1, d2);
- unify (r1, r2))
+ (subTyp (d2, d1);
+ subTyp (r1, r2))
| (TAction (p1, d1, r1), TAction (p2, d2, r2)) =>
- ((unifyPred (p1, p2);
- unifyRecord unify (d1, d2);
- unifyRecord unify (r1, r2))
+ ((subPred (p2, p1);
+ subRecord subTyp (d2, d1);
+ subRecord subTyp (r1, r2);
+ subRecord subTyp (r2, r1))
handle UnequalDomains => raise Unify (UnifyTyp (t1All, t2All)))
- | (TUnif (_, ref (SOME t1)), _) => unify (t1, t2All)
- | (_, TUnif (_, ref (SOME t2))) => unify (t1All, t2)
+ | (TNested (d1, r1), TNested (d2, r2)) =>
+ (subPred (d2, d1);
+ subTyp (r1, r2))
+
+ | (TUnif (_, ref (SOME t1)), _) => subTyp (t1, t2All)
+ | (_, TUnif (_, ref (SOME t2))) => subTyp (t1All, t2)
| (TUnif (_, r1), TUnif (_, r2)) =>
if r1 = r2 then
TUnif (_, ref (SOME tAll)) => whnorm tAll
| _ => tAll
+fun baseCondition t =
+ case whnorm t of
+ (TBase name, _) => typeRule name
+ | (TList t, _) =>
+ (case baseCondition t of
+ NONE => NONE
+ | SOME f => SOME (fn (EList ls, _) => List.all f ls
+ | _ => false))
+ | _ => NONE
+
+fun simplifyKindOf e =
+ case e of
+ (EApp ((EVar s, _), e'), _) =>
+ (case Env.function s of
+ NONE => e
+ | SOME f =>
+ case f [e'] of
+ NONE => e
+ | SOME e => e)
+ | _ => e
+
+fun hasTyp (e, t1, t2) =
+ if (case baseCondition t2 of
+ NONE => false
+ | SOME rule => rule (simplifyKindOf e)) then
+ ()
+ else
+ subTyp (t1, t2)
+
+fun checkPred G (p, loc) =
+ let
+ val err = ErrorMsg.error (SOME loc)
+ in
+ case p of
+ CRoot => ()
+ | CConst s =>
+ if lookupContext G s then
+ ()
+ else
+ err ("Unbound context " ^ s)
+ | CPrefix p => checkPred G p
+ | CNot p => checkPred G p
+ | CAnd (p1, p2) => (checkPred G p1; checkPred G p2)
+ end
+
+fun checkTyp G (tAll as (t, loc)) =
+ let
+ val err = ErrorMsg.error (SOME loc)
+ in
+ case t of
+ TBase name =>
+ if lookupType G name then
+ tAll
+ else
+ (err ("Unbound type name " ^ name);
+ (TError, loc))
+ | TList t => (TList (checkTyp G t), loc)
+ | TArrow (d, r) => (TArrow (checkTyp G d, checkTyp G r), loc)
+ | TAction (p, d, r) => (checkPred G p;
+ (TAction (p, SM.map (checkTyp G) d,
+ SM.map (checkTyp G) r), loc))
+ | TNested (p, t) => (checkPred G p;
+ (TNested (p, checkTyp G t), loc))
+ | TError => raise Fail "TError in parser-generated type"
+ | TUnif _ => raise Fail "TUnif in parser-generated type"
+ end
+
+fun envVarSetFrom v (e, _) =
+ case e of
+ ESet (v', e) =>
+ if v = v' then
+ SOME e
+ else
+ NONE
+ | EGet (_, _, _, e) => envVarSetFrom v e
+ | ESeq es => foldr (fn (e, found) =>
+ case found of
+ SOME _ => found
+ | NONE => envVarSetFrom v e)
+ NONE es
+ | ELocal (_, e) => envVarSetFrom v e
+
+ | _ => NONE
+
+val ununify = Describe.ununify
+
fun checkExp G (eAll as (e, loc)) =
let
- val dte = describe_type_error loc
+ val dte = Describe.describe_type_error loc
in
case e of
EInt _ => (TBase "int", loc)
let
val t' = checkExp G e'
in
- (unify (t', t);
+ (hasTyp (eAll, t', t);
if isError t' then
(TList (TError, loc), loc)
else
val t =
case to of
NONE => (newUnif (), loc)
- | SOME t => t
+ | SOME t => checkTyp G t
- val G' = SM.insert (G, x, t)
+ val G' = bindVal G (x, t, NONE)
val t' = checkExp G' e
in
(TArrow (t, t'), loc)
end
| EVar x =>
- (case SM.find (G, x) of
+ (case lookupVal G x of
NONE => (dte (UnboundVariable x);
(TError, loc))
| SOME t => t)
val tf = checkExp G func
val ta = checkExp G arg
in
- (unify (tf, (TArrow (dom, ran), loc));
- unify (ta, dom)
+ (hasTyp (func, tf, (TArrow (dom, ran), loc));
+ hasTyp (arg, ta, dom)
handle Unify ue =>
dte (WrongType ("Function argument",
arg,
(TError, loc))
end
+ | EALam (x, p, e) =>
+ let
+ val p' = checkPred G p
+
+ val G' = bindVal G (x, (TAction (p, SM.empty, SM.empty), loc), NONE)
+ val t' = whnorm (checkExp G' e)
+ in
+ case t' of
+ (TAction _, _) => (TNested (p, t'), loc)
+ | _ => (dte (WrongForm ("Body of nested configuration 'fn'",
+ "action",
+ e,
+ t',
+ NONE));
+ (TError, loc))
+ end
+
| ESet (evar, e) =>
let
val t = checkExp G e
SM.insert (SM.empty, evar, t)),
loc)
end
- | EGet (x, evar, rest) =>
+ | EGet (x, topt, evar, rest) =>
let
val xt = (newUnif (), loc)
- val G' = SM.insert (G, x, xt)
+ val G' = bindVal G (x, xt, NONE)
val rt = whnorm (checkExp G' rest)
in
- case rt of
+ case topt of
+ NONE => ()
+ | SOME t => subTyp (xt, checkTyp G t);
+
+ case ununify rt of
(TAction (p, d, r), _) =>
(case SM.find (d, evar) of
NONE => (TAction (p, SM.insert (d, evar, xt), r), loc)
| SOME xt' =>
- (unify (xt', xt)
+ (subTyp (xt', xt)
handle Unify ue =>
dte (WrongType ("Retrieved environment variable",
(EVar x, loc),
xt,
SOME ue));
rt))
+ | (TError, _) => rt
| _ => (dte (WrongForm ("Body of environment variable read",
"action",
rest,
(case SM.find (d', name) of
NONE => SM.insert (d', name, t)
| SOME t' =>
- (unify (t, t')
+ ((case envVarSetFrom name e1 of
+ NONE => subTyp (t, t')
+ | SOME e => hasTyp (e, t, t'))
handle Unify ue =>
dte (WrongType ("Shared environment variable",
(EVar name, loc),
- t,
t',
+ t,
SOME ue));
d'))
| SOME t' =>
- (unify (t, t')
+ ((case envVarSetFrom name e1 of
+ NONE => subTyp (t, t')
+ | SOME e => hasTyp (e, t, t'))
handle Unify ue =>
dte (WrongType ("Shared environment variable",
(EVar name, loc),
- t,
t',
+ t,
SOME ue));
d'))
d1 d2
in
(TAction (p', d', r'), loc)
end
- | _ => (dte (WrongForm ("Action to be sequenced",
+ | (TError, _) => t2
+ | _ => (dte (WrongForm ("First action to be sequenced",
"action",
e2,
t2,
NONE));
(TError, loc)))
- | _ => (dte (WrongForm ("Action to be sequenced",
+ | (TError, _) => t1
+ | _ => (dte (WrongForm ("Second action to be sequenced",
"action",
e1,
t1,
(TError, loc))
end
- | ELocal e =>
+ | ELocal (e1, e2) =>
let
- val rt = whnorm (checkExp G e)
+ val t1 = whnorm (checkExp G e1)
+ val t2 = whnorm (checkExp G e2)
in
- case rt of
- (TAction (p, d, _), _) =>
- (TAction (p, d, SM.empty), loc)
- | _ => (dte (WrongForm ("Body of local action",
+ case t1 of
+ (TAction (p1, d1, r1), _) =>
+ (case t2 of
+ (TAction (p2, d2, r2), _) =>
+ let
+ val p' = predSimpl (CAnd (p1, p2), loc)
+
+ val d' = SM.foldli (fn (name, t, d') =>
+ case SM.find (r1, name) of
+ NONE =>
+ (case SM.find (d', name) of
+ NONE => SM.insert (d', name, t)
+ | SOME t' =>
+ ((case envVarSetFrom name e1 of
+ NONE => subTyp (t', t)
+ | SOME e => hasTyp (e, t', t))
+ handle Unify ue =>
+ dte (WrongType ("Shared environment variable",
+ (EVar name, loc),
+ t',
+ t,
+ SOME ue));
+ d'))
+ | SOME t' =>
+ ((case envVarSetFrom name e1 of
+ NONE => subTyp (t', t)
+ | SOME e => hasTyp (e, t', t))
+ handle Unify ue =>
+ dte (WrongType ("Shared environment variable",
+ (EVar name, loc),
+ t',
+ t,
+ SOME ue));
+ d'))
+ d1 d2
+ in
+ (TAction (p', d', r2), loc)
+ end
+ | (TError, _) => t2
+ | _ => (dte (WrongForm ("Body of local settings",
+ "action",
+ e2,
+ t2,
+ NONE));
+ (TError, loc)))
+ | (TError, _) => t1
+ | _ => (dte (WrongForm ("Local settings",
"action",
- e,
- rt,
+ e1,
+ t1,
NONE));
(TError, loc))
end
+
+
+ | EWith (e1, e2) =>
+ let
+ val t1 = whnorm (checkExp G e1)
+ val t2 = whnorm (checkExp G e2)
+ in
+ case t1 of
+ (TNested (pd, (TAction (pr, d1, r1), _)), _) =>
+ (case t2 of
+ (TAction (p, d, r), _) =>
+ if predImplies (pd, p) then
+ let
+ val combineRecs =
+ SM.unionWithi (fn (name, t1, t2) =>
+ (subTyp (t1, t2)
+ handle Unify ue =>
+ dte (WrongType ("Environment variable",
+ (EVar name, loc),
+ t1,
+ t2,
+ SOME ue));
+ t2))
+ in
+ (TAction (pr, combineRecs (d, d1),
+ combineRecs (r, r1)), loc)
+ end
+ else
+ (dte (WrongPred ("nested action",
+ pd,
+ p));
+ (TError, loc))
+ | (TError, _) => t2
+ | _ =>
+ (dte (WrongForm ("Body of nested action",
+ "action",
+ e2,
+ t2,
+ NONE));
+ (TError, loc)))
+ | (TError, _) => t1
+ | _ =>
+ (dte (WrongForm ("Container of nested action",
+ "action",
+ e1,
+ t1,
+ NONE));
+ (TError, loc))
+ end
+
+ | ESkip => (TAction ((CPrefix (CRoot, loc), loc),
+ SM.empty, SM.empty), loc)
+
+ | EIf (e1, e2, e3) =>
+ let
+ val t1 = checkExp G e1
+ val t2 = checkExp G e2
+ val t3 = checkExp G e3
+ val bool = (TBase "bool", loc)
+ in
+ (subTyp (t1, bool))
+ handle Unify ue =>
+ dte (WrongType ("\"if\" test",
+ e1,
+ t1,
+ bool,
+ SOME ue));
+ (subTyp (t2, t3); t3)
+ handle Unify _ =>
+ ((subTyp (t3, t2); t2)
+ handle Unify ue =>
+ (dte (WrongType ("\"else\" case",
+ eAll,
+ t3,
+ t2,
+ SOME ue));
+ (TError, loc)))
+ end
end
exception Ununif
| TArrow (d, r) => (TArrow (ununif d, ununif r), loc)
| TAction (p, d, r) => (TAction (p, SM.map ununif d, SM.map ununif r), loc)
| TUnif (_, ref (SOME t)) => ununif t
+ | TNested _ => tAll
| TError => tAll
| TUnif (_, ref NONE) => raise Ununif
| TArrow (d, r) => hasError d orelse hasError r
| TAction (p, d, r) => List.exists hasError (SM.listItems d)
orelse List.exists hasError (SM.listItems r)
+ | TNested _ => false
| TError => false
| TUnif (_, ref (SOME t)) => hasError t
| TUnif (_, ref NONE) => false
ununif t
handle Ununif =>
(ErrorMsg.error (SOME loc) "Unification variables remain in type:";
- printd (p_typ t);
+ output (p_typ t);
t)
end
+fun checkDecl G (d, _, loc) =
+ case d of
+ DExternType name =>
+ if !externFlag then
+ bindType G name
+ else
+ (ErrorMsg.error (SOME loc) "'extern type' not allowed in untrusted code";
+ G)
+ | DExternVal (name, t) =>
+ if !externFlag then
+ bindVal G (name, checkTyp G t, NONE)
+ else
+ (ErrorMsg.error (SOME loc) "'extern val' not allowed in untrusted code";
+ G)
+ | DVal (name, to, e) =>
+ let
+ val to =
+ case to of
+ NONE => (newUnif (), loc)
+ | SOME to => checkTyp G to
+
+ val t = checkExp G e
+ in
+ hasTyp (e, t, to)
+ handle Unify ue =>
+ Describe.describe_type_error loc
+ (WrongType ("Bound value",
+ e,
+ t,
+ to,
+ SOME ue));
+ bindVal G (name, to, SOME e)
+ end
+ | DContext name => bindContext G name
+
+fun printActionDiffs {have, need} =
+ case (ununif have, ununif need) of
+ ((TAction (p1, in1, out1), loc), (TAction (p2, in2, out2), _)) =>
+ let
+ fun checkPreds () =
+ if predImplies (p1, p2) then
+ ()
+ else
+ (ErrorMsg.error (SOME loc) "Files provides the wrong kind of configuration.";
+ preface ("Have:", p_pred p1);
+ preface ("Need:", p_pred p2))
+
+ fun checkIn () =
+ SM.appi (fn (name, t) =>
+ case SM.find (in2, name) of
+ NONE => (ErrorMsg.error (SOME loc) "An unavailable environment variable is used.";
+ print ("Name: " ^ name ^ "\n");
+ preface ("Type:", p_typ t))
+ | SOME t' =>
+ subTyp (t', t)
+ handle Unify _ =>
+ (ErrorMsg.error (SOME loc) "Wrong type for environment variable.";
+ print (" Name: " ^ name ^ "\n");
+ preface (" Has type:", p_typ t');
+ preface ("Used with type:", p_typ t)))
+ in1
+
+ fun checkOut () =
+ SM.appi (fn (name, t) =>
+ case SM.find (out1, name) of
+ NONE => (ErrorMsg.error (SOME loc) "Missing an output environment variable.";
+ print ("Name: " ^ name ^ "\n");
+ preface ("Type:", p_typ t))
+ | SOME t' =>
+ subTyp (t', t)
+ handle Unify _ =>
+ (ErrorMsg.error (SOME loc) "Wrong type for output environment variable.";
+ print (" Name: " ^ name ^ "\n");
+ preface (" Has type:", p_typ t');
+ preface ("Need type:", p_typ t)))
+ out2
+ in
+ checkPreds ();
+ checkIn ();
+ checkOut ();
+ true
+ end
+
+ | _ => false
+
+fun checkFile G tInit (_, ds, eo) =
+ let
+ val G' = foldl (fn (d, G) => checkDecl G d) G ds
+ in
+ case eo of
+ NONE => ()
+ | SOME (e as (_, loc)) =>
+ let
+ val t = checkExp G' e
+ in
+ hasTyp (e, t, tInit)
+ handle Unify _ =>
+ if printActionDiffs {have = t, need = tInit} then
+ ()
+ else
+ ErrorMsg.error (SOME loc) "File ends in something that isn't a directive."
+ end;
+ G'
+ end
+
end