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|
(* Copyright (c) 2008, Adam Chlipala
* All rights reserved.
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions are met:
*
* - Redistributions of source code must retain the above copyright notice,
* this list of conditions and the following disclaimer.
* - Redistributions in binary form must reproduce the above copyright notice,
* this list of conditions and the following disclaimer in the documentation
* and/or other materials provided with the distribution.
* - The names of contributors may not be used to endorse or promote products
* derived from this software without specific prior written permission.
*
* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
* AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
* ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE
* LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
* CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
* SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
* INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
* CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
* ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
* POSSIBILITY OF SUCH DAMAGE.
*)
structure Elaborate :> ELABORATE = struct
structure P = Prim
structure L = Source
structure L' = Elab
structure E = ElabEnv
structure U = ElabUtil
structure D = Disjoint
open Print
open ElabPrint
structure SS = BinarySetFn(struct
type ord_key = string
val compare = String.compare
end)
fun elabExplicitness e =
case e of
L.Explicit => L'.Explicit
| L.Implicit => L'.Implicit
fun occursKind r =
U.Kind.exists (fn L'.KUnif (_, _, r') => r = r'
| _ => false)
datatype kunify_error =
KOccursCheckFailed of L'.kind * L'.kind
| KIncompatible of L'.kind * L'.kind
exception KUnify' of kunify_error
fun kunifyError err =
case err of
KOccursCheckFailed (k1, k2) =>
eprefaces "Kind occurs check failed"
[("Kind 1", p_kind k1),
("Kind 2", p_kind k2)]
| KIncompatible (k1, k2) =>
eprefaces "Incompatible kinds"
[("Kind 1", p_kind k1),
("Kind 2", p_kind k2)]
fun unifyKinds' (k1All as (k1, _)) (k2All as (k2, _)) =
let
fun err f = raise KUnify' (f (k1All, k2All))
in
case (k1, k2) of
(L'.KType, L'.KType) => ()
| (L'.KUnit, L'.KUnit) => ()
| (L'.KArrow (d1, r1), L'.KArrow (d2, r2)) =>
(unifyKinds' d1 d2;
unifyKinds' r1 r2)
| (L'.KName, L'.KName) => ()
| (L'.KRecord k1, L'.KRecord k2) => unifyKinds' k1 k2
| (L'.KError, _) => ()
| (_, L'.KError) => ()
| (L'.KUnif (_, _, ref (SOME k1All)), _) => unifyKinds' k1All k2All
| (_, L'.KUnif (_, _, ref (SOME k2All))) => unifyKinds' k1All k2All
| (L'.KUnif (_, _, r1), L'.KUnif (_, _, r2)) =>
if r1 = r2 then
()
else
r1 := SOME k2All
| (L'.KUnif (_, _, r), _) =>
if occursKind r k2All then
err KOccursCheckFailed
else
r := SOME k2All
| (_, L'.KUnif (_, _, r)) =>
if occursKind r k1All then
err KOccursCheckFailed
else
r := SOME k1All
| _ => err KIncompatible
end
exception KUnify of L'.kind * L'.kind * kunify_error
fun unifyKinds k1 k2 =
unifyKinds' k1 k2
handle KUnify' err => raise KUnify (k1, k2, err)
datatype con_error =
UnboundCon of ErrorMsg.span * string
| UnboundStrInCon of ErrorMsg.span * string
| WrongKind of L'.con * L'.kind * L'.kind * kunify_error
| DuplicateField of ErrorMsg.span * string
fun conError env err =
case err of
UnboundCon (loc, s) =>
ErrorMsg.errorAt loc ("Unbound constructor variable " ^ s)
| UnboundStrInCon (loc, s) =>
ErrorMsg.errorAt loc ("Unbound structure " ^ s)
| WrongKind (c, k1, k2, kerr) =>
(ErrorMsg.errorAt (#2 c) "Wrong kind";
eprefaces' [("Constructor", p_con env c),
("Have kind", p_kind k1),
("Need kind", p_kind k2)];
kunifyError kerr)
| DuplicateField (loc, s) =>
ErrorMsg.errorAt loc ("Duplicate record field " ^ s)
fun checkKind env c k1 k2 =
unifyKinds k1 k2
handle KUnify (k1, k2, err) =>
conError env (WrongKind (c, k1, k2, err))
val dummy = ErrorMsg.dummySpan
val ktype = (L'.KType, dummy)
val kname = (L'.KName, dummy)
val ktype_record = (L'.KRecord ktype, dummy)
val cerror = (L'.CError, dummy)
val kerror = (L'.KError, dummy)
val eerror = (L'.EError, dummy)
val sgnerror = (L'.SgnError, dummy)
val strerror = (L'.StrError, dummy)
val int = ref cerror
val float = ref cerror
val string = ref cerror
local
val count = ref 0
in
fun resetKunif () = count := 0
fun kunif loc =
let
val n = !count
val s = if n <= 26 then
str (chr (ord #"A" + n))
else
"U" ^ Int.toString (n - 26)
in
count := n + 1;
(L'.KUnif (loc, s, ref NONE), dummy)
end
end
local
val count = ref 0
in
fun resetCunif () = count := 0
fun cunif (loc, k) =
let
val n = !count
val s = if n <= 26 then
str (chr (ord #"A" + n))
else
"U" ^ Int.toString (n - 26)
in
count := n + 1;
(L'.CUnif (loc, k, s, ref NONE), dummy)
end
end
fun elabKind (k, loc) =
case k of
L.KType => (L'.KType, loc)
| L.KArrow (k1, k2) => (L'.KArrow (elabKind k1, elabKind k2), loc)
| L.KName => (L'.KName, loc)
| L.KRecord k => (L'.KRecord (elabKind k), loc)
| L.KUnit => (L'.KUnit, loc)
| L.KWild => kunif loc
fun foldKind (dom, ran, loc)=
(L'.KArrow ((L'.KArrow ((L'.KName, loc),
(L'.KArrow (dom,
(L'.KArrow (ran, ran), loc)), loc)), loc),
(L'.KArrow (ran,
(L'.KArrow ((L'.KRecord dom, loc),
ran), loc)), loc)), loc)
fun elabCon (env, denv) (c, loc) =
case c of
L.CAnnot (c, k) =>
let
val k' = elabKind k
val (c', ck, gs) = elabCon (env, denv) c
in
checkKind env c' ck k';
(c', k', gs)
end
| L.TFun (t1, t2) =>
let
val (t1', k1, gs1) = elabCon (env, denv) t1
val (t2', k2, gs2) = elabCon (env, denv) t2
in
checkKind env t1' k1 ktype;
checkKind env t2' k2 ktype;
((L'.TFun (t1', t2'), loc), ktype, gs1 @ gs2)
end
| L.TCFun (e, x, k, t) =>
let
val e' = elabExplicitness e
val k' = elabKind k
val env' = E.pushCRel env x k'
val (t', tk, gs) = elabCon (env', D.enter denv) t
in
checkKind env t' tk ktype;
((L'.TCFun (e', x, k', t'), loc), ktype, gs)
end
| L.TDisjoint (c1, c2, c) =>
let
val (c1', k1, gs1) = elabCon (env, denv) c1
val (c2', k2, gs2) = elabCon (env, denv) c2
val ku1 = kunif loc
val ku2 = kunif loc
val (denv', gs3) = D.assert env denv (c1', c2')
val (c', k, gs4) = elabCon (env, denv') c
in
checkKind env c1' k1 (L'.KRecord ku1, loc);
checkKind env c2' k2 (L'.KRecord ku2, loc);
((L'.TDisjoint (c1', c2', c'), loc), k, gs1 @ gs2 @ gs3 @ gs4)
end
| L.TRecord c =>
let
val (c', ck, gs) = elabCon (env, denv) c
val k = (L'.KRecord ktype, loc)
in
checkKind env c' ck k;
((L'.TRecord c', loc), ktype, gs)
end
| L.CVar ([], s) =>
(case E.lookupC env s of
E.NotBound =>
(conError env (UnboundCon (loc, s));
(cerror, kerror, []))
| E.Rel (n, k) =>
((L'.CRel n, loc), k, [])
| E.Named (n, k) =>
((L'.CNamed n, loc), k, []))
| L.CVar (m1 :: ms, s) =>
(case E.lookupStr env m1 of
NONE => (conError env (UnboundStrInCon (loc, m1));
(cerror, kerror, []))
| SOME (n, sgn) =>
let
val (str, sgn) = foldl (fn (m, (str, sgn)) =>
case E.projectStr env {sgn = sgn, str = str, field = m} of
NONE => (conError env (UnboundStrInCon (loc, m));
(strerror, sgnerror))
| SOME sgn => ((L'.StrProj (str, m), loc), sgn))
((L'.StrVar n, loc), sgn) ms
val k = case E.projectCon env {sgn = sgn, str = str, field = s} of
NONE => (conError env (UnboundCon (loc, s));
kerror)
| SOME (k, _) => k
in
((L'.CModProj (n, ms, s), loc), k, [])
end)
| L.CApp (c1, c2) =>
let
val (c1', k1, gs1) = elabCon (env, denv) c1
val (c2', k2, gs2) = elabCon (env, denv) c2
val dom = kunif loc
val ran = kunif loc
in
checkKind env c1' k1 (L'.KArrow (dom, ran), loc);
checkKind env c2' k2 dom;
((L'.CApp (c1', c2'), loc), ran, gs1 @ gs2)
end
| L.CAbs (x, ko, t) =>
let
val k' = case ko of
NONE => kunif loc
| SOME k => elabKind k
val env' = E.pushCRel env x k'
val (t', tk, gs) = elabCon (env', D.enter denv) t
in
((L'.CAbs (x, k', t'), loc),
(L'.KArrow (k', tk), loc),
gs)
end
| L.CDisjoint (c1, c2, c) =>
let
val (c1', k1, gs1) = elabCon (env, denv) c1
val (c2', k2, gs2) = elabCon (env, denv) c2
val ku1 = kunif loc
val ku2 = kunif loc
val (denv', gs3) = D.assert env denv (c1', c2')
val (c', k, gs4) = elabCon (env, denv') c
in
checkKind env c1' k1 (L'.KRecord ku1, loc);
checkKind env c2' k2 (L'.KRecord ku2, loc);
((L'.CDisjoint (c1', c2', c'), loc), k, gs1 @ gs2 @ gs3 @ gs4)
end
| L.CName s =>
((L'.CName s, loc), kname, [])
| L.CRecord xcs =>
let
val k = kunif loc
val (xcs', gs) = ListUtil.foldlMap (fn ((x, c), gs) =>
let
val (x', xk, gs1) = elabCon (env, denv) x
val (c', ck, gs2) = elabCon (env, denv) c
in
checkKind env x' xk kname;
checkKind env c' ck k;
((x', c'), gs1 @ gs2 @ gs)
end) [] xcs
val rc = (L'.CRecord (k, xcs'), loc)
(* Add duplicate field checking later. *)
fun prove (xcs, ds) =
case xcs of
[] => ds
| xc :: rest =>
let
val r1 = (L'.CRecord (k, [xc]), loc)
val ds = foldl (fn (xc', ds) =>
let
val r2 = (L'.CRecord (k, [xc']), loc)
in
D.prove env denv (r1, r2, loc) @ ds
end)
ds rest
in
prove (rest, ds)
end
in
(rc, (L'.KRecord k, loc), prove (xcs', gs))
end
| L.CConcat (c1, c2) =>
let
val (c1', k1, gs1) = elabCon (env, denv) c1
val (c2', k2, gs2) = elabCon (env, denv) c2
val ku = kunif loc
val k = (L'.KRecord ku, loc)
in
checkKind env c1' k1 k;
checkKind env c2' k2 k;
((L'.CConcat (c1', c2'), loc), k,
D.prove env denv (c1', c2', loc) @ gs1 @ gs2)
end
| L.CFold =>
let
val dom = kunif loc
val ran = kunif loc
in
((L'.CFold (dom, ran), loc),
foldKind (dom, ran, loc),
[])
end
| L.CUnit => ((L'.CUnit, loc), (L'.KUnit, loc), [])
| L.CWild k =>
let
val k' = elabKind k
in
(cunif (loc, k'), k', [])
end
fun kunifsRemain k =
case k of
L'.KUnif (_, _, ref NONE) => true
| _ => false
fun cunifsRemain c =
case c of
L'.CUnif (loc, _, _, ref NONE) => SOME loc
| _ => NONE
val kunifsInDecl = U.Decl.exists {kind = kunifsRemain,
con = fn _ => false,
exp = fn _ => false,
sgn_item = fn _ => false,
sgn = fn _ => false,
str = fn _ => false,
decl = fn _ => false}
val cunifsInDecl = U.Decl.search {kind = fn _ => NONE,
con = cunifsRemain,
exp = fn _ => NONE,
sgn_item = fn _ => NONE,
sgn = fn _ => NONE,
str = fn _ => NONE,
decl = fn _ => NONE}
fun occursCon r =
U.Con.exists {kind = fn _ => false,
con = fn L'.CUnif (_, _, _, r') => r = r'
| _ => false}
datatype cunify_error =
CKind of L'.kind * L'.kind * kunify_error
| COccursCheckFailed of L'.con * L'.con
| CIncompatible of L'.con * L'.con
| CExplicitness of L'.con * L'.con
| CKindof of L'.kind * L'.con
| CRecordFailure
exception CUnify' of cunify_error
fun cunifyError env err =
case err of
CKind (k1, k2, kerr) =>
(eprefaces "Kind unification failure"
[("Kind 1", p_kind k1),
("Kind 2", p_kind k2)];
kunifyError kerr)
| COccursCheckFailed (c1, c2) =>
eprefaces "Constructor occurs check failed"
[("Con 1", p_con env c1),
("Con 2", p_con env c2)]
| CIncompatible (c1, c2) =>
eprefaces "Incompatible constructors"
[("Con 1", p_con env c1),
("Con 2", p_con env c2)]
| CExplicitness (c1, c2) =>
eprefaces "Differing constructor function explicitness"
[("Con 1", p_con env c1),
("Con 2", p_con env c2)]
| CKindof (k, c) =>
eprefaces "Unexpected kind for kindof calculation"
[("Kind", p_kind k),
("Con", p_con env c)]
| CRecordFailure =>
eprefaces "Can't unify record constructors" []
exception SynUnif = E.SynUnif
open ElabOps
type record_summary = {
fields : (L'.con * L'.con) list,
unifs : (L'.con * L'.con option ref) list,
others : L'.con list
}
fun summaryToCon {fields, unifs, others} =
let
val c = (L'.CRecord (ktype, []), dummy)
val c = List.foldr (fn (c', c) => (L'.CConcat (c', c), dummy)) c others
val c = List.foldr (fn ((c', _), c) => (L'.CConcat (c', c), dummy)) c unifs
in
(L'.CConcat ((L'.CRecord (ktype, fields), dummy), c), dummy)
end
fun p_summary env s = p_con env (summaryToCon s)
exception CUnify of L'.con * L'.con * cunify_error
fun hnormKind (kAll as (k, _)) =
case k of
L'.KUnif (_, _, ref (SOME k)) => hnormKind k
| _ => kAll
fun kindof env (c, loc) =
case c of
L'.TFun _ => ktype
| L'.TCFun _ => ktype
| L'.TDisjoint _ => ktype
| L'.TRecord _ => ktype
| L'.CRel xn => #2 (E.lookupCRel env xn)
| L'.CNamed xn => #2 (E.lookupCNamed env xn)
| L'.CModProj (n, ms, x) =>
let
val (_, sgn) = E.lookupStrNamed env n
val (str, sgn) = foldl (fn (m, (str, sgn)) =>
case E.projectStr env {sgn = sgn, str = str, field = m} of
NONE => raise Fail "kindof: Unknown substructure"
| SOME sgn => ((L'.StrProj (str, m), loc), sgn))
((L'.StrVar n, loc), sgn) ms
in
case E.projectCon env {sgn = sgn, str = str, field = x} of
NONE => raise Fail "kindof: Unknown con in structure"
| SOME (k, _) => k
end
| L'.CApp (c, _) =>
(case hnormKind (kindof env c) of
(L'.KArrow (_, k), _) => k
| (L'.KError, _) => kerror
| k => raise CUnify' (CKindof (k, c)))
| L'.CAbs (x, k, c) => (L'.KArrow (k, kindof (E.pushCRel env x k) c), loc)
| L'.CDisjoint (_, _, c) => kindof env c
| L'.CName _ => kname
| L'.CRecord (k, _) => (L'.KRecord k, loc)
| L'.CConcat (c, _) => kindof env c
| L'.CFold (dom, ran) => foldKind (dom, ran, loc)
| L'.CUnit => (L'.KUnit, loc)
| L'.CError => kerror
| L'.CUnif (_, k, _, _) => k
val hnormCon = D.hnormCon
fun unifyRecordCons (env, denv) (c1, c2) =
let
fun rkindof c =
case hnormKind (kindof env c) of
(L'.KRecord k, _) => k
| (L'.KError, _) => kerror
| k => raise CUnify' (CKindof (k, c))
val k1 = rkindof c1
val k2 = rkindof c2
val (r1, gs1) = recordSummary (env, denv) c1
val (r2, gs2) = recordSummary (env, denv) c2
in
unifyKinds k1 k2;
unifySummaries (env, denv) (k1, r1, r2);
gs1 @ gs2
end
and recordSummary (env, denv) c =
let
val (c, gs) = hnormCon (env, denv) c
val (sum, gs') =
case c of
(L'.CRecord (_, xcs), _) => ({fields = xcs, unifs = [], others = []}, [])
| (L'.CConcat (c1, c2), _) =>
let
val (s1, gs1) = recordSummary (env, denv) c1
val (s2, gs2) = recordSummary (env, denv) c2
in
({fields = #fields s1 @ #fields s2,
unifs = #unifs s1 @ #unifs s2,
others = #others s1 @ #others s2},
gs1 @ gs2)
end
| (L'.CUnif (_, _, _, ref (SOME c)), _) => recordSummary (env, denv) c
| c' as (L'.CUnif (_, _, _, r), _) => ({fields = [], unifs = [(c', r)], others = []}, [])
| c' => ({fields = [], unifs = [], others = [c']}, [])
in
(sum, gs @ gs')
end
and consEq (env, denv) (c1, c2) =
(case unifyCons (env, denv) c1 c2 of
[] => true
| _ => false)
handle CUnify _ => false
and consNeq env (c1, c2) =
case (#1 (ElabOps.hnormCon env c1), #1 (ElabOps.hnormCon env c2)) of
(L'.CName x1, L'.CName x2) => x1 <> x2
| _ => false
and unifySummaries (env, denv) (k, s1 : record_summary, s2 : record_summary) =
let
(*val () = eprefaces "Summaries" [("#1", p_summary env s1),
("#2", p_summary env s2)]*)
fun eatMatching p (ls1, ls2) =
let
fun em (ls1, ls2, passed1) =
case ls1 of
[] => (rev passed1, ls2)
| h1 :: t1 =>
let
fun search (ls2', passed2) =
case ls2' of
[] => em (t1, ls2, h1 :: passed1)
| h2 :: t2 =>
if p (h1, h2) then
em (t1, List.revAppend (passed2, t2), passed1)
else
search (t2, h2 :: passed2)
in
search (ls2, [])
end
in
em (ls1, ls2, [])
end
val (fs1, fs2) = eatMatching (fn ((x1, c1), (x2, c2)) =>
not (consNeq env (x1, x2))
andalso consEq (env, denv) (c1, c2)
andalso consEq (env, denv) (x1, x2))
(#fields s1, #fields s2)
(*val () = eprefaces "Summaries2" [("#1", p_summary env {fields = fs1, unifs = #unifs s1, others = #others s1}),
("#2", p_summary env {fields = fs2, unifs = #unifs s2, others = #others s2})]*)
val (unifs1, unifs2) = eatMatching (fn ((_, r1), (_, r2)) => r1 = r2) (#unifs s1, #unifs s2)
val (others1, others2) = eatMatching (consEq (env, denv)) (#others s1, #others s2)
fun unifFields (fs, others, unifs) =
case (fs, others, unifs) of
([], [], _) => ([], [], unifs)
| (_, _, []) => (fs, others, [])
| (_, _, (_, r) :: rest) =>
let
val r' = ref NONE
val kr = (L'.KRecord k, dummy)
val cr' = (L'.CUnif (dummy, kr, "recd", r'), dummy)
val prefix = case (fs, others) of
([], other :: others) =>
List.foldl (fn (other, c) =>
(L'.CConcat (c, other), dummy))
other others
| (fs, []) =>
(L'.CRecord (k, fs), dummy)
| (fs, others) =>
List.foldl (fn (other, c) =>
(L'.CConcat (c, other), dummy))
(L'.CRecord (k, fs), dummy) others
in
r := SOME (L'.CConcat (prefix, cr'), dummy);
([], [], (cr', r') :: rest)
end
val (fs1, others1, unifs2) = unifFields (fs1, others1, unifs2)
val (fs2, others2, unifs1) = unifFields (fs2, others2, unifs1)
val clear = case (fs1, others1, fs2, others2) of
([], [], [], []) => true
| _ => false
val empty = (L'.CRecord (k, []), dummy)
fun pairOffUnifs (unifs1, unifs2) =
case (unifs1, unifs2) of
([], _) =>
if clear then
List.app (fn (_, r) => r := SOME empty) unifs2
else
raise CUnify' CRecordFailure
| (_, []) =>
if clear then
List.app (fn (_, r) => r := SOME empty) unifs1
else
raise CUnify' CRecordFailure
| ((c1, _) :: rest1, (_, r2) :: rest2) =>
(r2 := SOME c1;
pairOffUnifs (rest1, rest2))
in
pairOffUnifs (unifs1, unifs2)
end
and unifyCons' (env, denv) c1 c2 =
let
val (c1, gs1) = hnormCon (env, denv) c1
val (c2, gs2) = hnormCon (env, denv) c2
val gs3 = unifyCons'' (env, denv) c1 c2
in
gs1 @ gs2 @ gs3
end
and unifyCons'' (env, denv) (c1All as (c1, _)) (c2All as (c2, _)) =
let
fun err f = raise CUnify' (f (c1All, c2All))
fun isRecord () = unifyRecordCons (env, denv) (c1All, c2All)
in
(*eprefaces "unifyCons''" [("c1All", p_con env c1All),
("c2All", p_con env c2All)];*)
case (c1, c2) of
(L'.CUnit, L'.CUnit) => []
| (L'.TFun (d1, r1), L'.TFun (d2, r2)) =>
unifyCons' (env, denv) d1 d2
@ unifyCons' (env, denv) r1 r2
| (L'.TCFun (expl1, x1, d1, r1), L'.TCFun (expl2, _, d2, r2)) =>
if expl1 <> expl2 then
err CExplicitness
else
(unifyKinds d1 d2;
unifyCons' (E.pushCRel env x1 d1, D.enter denv) r1 r2)
| (L'.TRecord r1, L'.TRecord r2) => unifyCons' (env, denv) r1 r2
| (L'.CRel n1, L'.CRel n2) =>
if n1 = n2 then
[]
else
err CIncompatible
| (L'.CNamed n1, L'.CNamed n2) =>
if n1 = n2 then
[]
else
err CIncompatible
| (L'.CApp (d1, r1), L'.CApp (d2, r2)) =>
(unifyCons' (env, denv) d1 d2;
unifyCons' (env, denv) r1 r2)
| (L'.CAbs (x1, k1, c1), L'.CAbs (_, k2, c2)) =>
(unifyKinds k1 k2;
unifyCons' (E.pushCRel env x1 k1, D.enter denv) c1 c2)
| (L'.CName n1, L'.CName n2) =>
if n1 = n2 then
[]
else
err CIncompatible
| (L'.CModProj (n1, ms1, x1), L'.CModProj (n2, ms2, x2)) =>
if n1 = n2 andalso ms1 = ms2 andalso x1 = x2 then
[]
else
err CIncompatible
| (L'.CError, _) => []
| (_, L'.CError) => []
| (L'.CRecord _, _) => isRecord ()
| (_, L'.CRecord _) => isRecord ()
| (L'.CConcat _, _) => isRecord ()
| (_, L'.CConcat _) => isRecord ()
(*| (L'.CUnif (_, (L'.KRecord _, _), _, _), _) => isRecord ()
| (_, L'.CUnif (_, (L'.KRecord _, _), _, _)) => isRecord ()*)
| (L'.CUnif (_, k1, _, r1), L'.CUnif (_, k2, _, r2)) =>
if r1 = r2 then
[]
else
(unifyKinds k1 k2;
r1 := SOME c2All;
[])
| (L'.CUnif (_, _, _, r), _) =>
if occursCon r c2All then
err COccursCheckFailed
else
(r := SOME c2All;
[])
| (_, L'.CUnif (_, _, _, r)) =>
if occursCon r c1All then
err COccursCheckFailed
else
(r := SOME c1All;
[])
| (L'.CFold (dom1, ran1), L'.CFold (dom2, ran2)) =>
(unifyKinds dom1 dom2;
unifyKinds ran1 ran2;
[])
| _ => err CIncompatible
end
and unifyCons (env, denv) c1 c2 =
unifyCons' (env, denv) c1 c2
handle CUnify' err => raise CUnify (c1, c2, err)
| KUnify args => raise CUnify (c1, c2, CKind args)
datatype exp_error =
UnboundExp of ErrorMsg.span * string
| UnboundStrInExp of ErrorMsg.span * string
| Unify of L'.exp * L'.con * L'.con * cunify_error
| Unif of string * L'.con
| WrongForm of string * L'.exp * L'.con
| IncompatibleCons of L'.con * L'.con
fun expError env err =
case err of
UnboundExp (loc, s) =>
ErrorMsg.errorAt loc ("Unbound expression variable " ^ s)
| UnboundStrInExp (loc, s) =>
ErrorMsg.errorAt loc ("Unbound structure " ^ s)
| Unify (e, c1, c2, uerr) =>
(ErrorMsg.errorAt (#2 e) "Unification failure";
eprefaces' [("Expression", p_exp env e),
("Have con", p_con env c1),
("Need con", p_con env c2)];
cunifyError env uerr)
| Unif (action, c) =>
(ErrorMsg.errorAt (#2 c) ("Unification variable blocks " ^ action);
eprefaces' [("Con", p_con env c)])
| WrongForm (variety, e, t) =>
(ErrorMsg.errorAt (#2 e) ("Expression is not a " ^ variety);
eprefaces' [("Expression", p_exp env e),
("Type", p_con env t)])
| IncompatibleCons (c1, c2) =>
(ErrorMsg.errorAt (#2 c1) "Incompatible constructors";
eprefaces' [("Con 1", p_con env c1),
("Con 2", p_con env c2)])
fun checkCon (env, denv) e c1 c2 =
unifyCons (env, denv) c1 c2
handle CUnify (c1, c2, err) =>
(expError env (Unify (e, c1, c2, err));
[])
fun primType env p =
case p of
P.Int _ => !int
| P.Float _ => !float
| P.String _ => !string
fun recCons (k, nm, v, rest, loc) =
(L'.CConcat ((L'.CRecord (k, [(nm, v)]), loc),
rest), loc)
fun foldType (dom, loc) =
(L'.TCFun (L'.Explicit, "ran", (L'.KArrow ((L'.KRecord dom, loc), (L'.KType, loc)), loc),
(L'.TFun ((L'.TCFun (L'.Explicit, "nm", (L'.KName, loc),
(L'.TCFun (L'.Explicit, "v", dom,
(L'.TCFun (L'.Explicit, "rest", (L'.KRecord dom, loc),
(L'.TFun ((L'.CApp ((L'.CRel 3, loc), (L'.CRel 0, loc)), loc),
(L'.CApp ((L'.CRel 3, loc),
recCons (dom,
(L'.CRel 2, loc),
(L'.CRel 1, loc),
(L'.CRel 0, loc),
loc)), loc)), loc)),
loc)), loc)), loc),
(L'.TFun ((L'.CApp ((L'.CRel 0, loc), (L'.CRecord (dom, []), loc)), loc),
(L'.TCFun (L'.Explicit, "r", (L'.KRecord dom, loc),
(L'.CApp ((L'.CRel 1, loc), (L'.CRel 0, loc)), loc)), loc)),
loc)), loc)), loc)
fun typeof env (e, loc) =
case e of
L'.EPrim p => primType env p
| L'.ERel n => #2 (E.lookupERel env n)
| L'.ENamed n => #2 (E.lookupENamed env n)
| L'.EModProj (n, ms, x) =>
let
val (_, sgn) = E.lookupStrNamed env n
val (str, sgn) = foldl (fn (m, (str, sgn)) =>
case E.projectStr env {sgn = sgn, str = str, field = m} of
NONE => raise Fail "typeof: Unknown substructure"
| SOME sgn => ((L'.StrProj (str, m), loc), sgn))
((L'.StrVar n, loc), sgn) ms
in
case E.projectVal env {sgn = sgn, str = str, field = x} of
NONE => raise Fail "typeof: Unknown val in structure"
| SOME t => t
end
| L'.EApp (e1, _) =>
(case #1 (typeof env e1) of
L'.TFun (_, c) => c
| _ => raise Fail "typeof: Bad EApp")
| L'.EAbs (_, _, ran, _) => ran
| L'.ECApp (e1, c) =>
(case #1 (typeof env e1) of
L'.TCFun (_, _, _, c1) => subConInCon (0, c) c1
| _ => raise Fail "typeof: Bad ECApp")
| L'.ECAbs (expl, x, k, e1) => (L'.TCFun (expl, x, k, typeof (E.pushCRel env x k) e1), loc)
| L'.ERecord xes => (L'.TRecord (L'.CRecord (ktype, map (fn (x, _, t) => (x, t)) xes), loc), loc)
| L'.EField (_, _, {field, ...}) => field
| L'.ECut (_, _, {rest, ...}) => (L'.TRecord rest, loc)
| L'.EFold dom => foldType (dom, loc)
| L'.EError => cerror
fun elabHead (env, denv) (e as (_, loc)) t =
let
fun unravel (t, e) =
let
val (t, gs) = hnormCon (env, denv) t
in
case t of
(L'.TCFun (L'.Implicit, x, k, t'), _) =>
let
val u = cunif (loc, k)
val (e, t, gs') = unravel (subConInCon (0, u) t',
(L'.ECApp (e, u), loc))
in
(e, t, gs @ gs')
end
| _ => (e, t, gs)
end
in
unravel (t, e)
end
fun elabExp (env, denv) (eAll as (e, loc)) =
let
in
(*eprefaces "elabExp" [("eAll", SourcePrint.p_exp eAll)];*)
case e of
L.EAnnot (e, t) =>
let
val (e', et, gs1) = elabExp (env, denv) e
val (t', _, gs2) = elabCon (env, denv) t
val gs3 = checkCon (env, denv) e' et t'
in
(e', t', gs1 @ gs2 @ gs3)
end
| L.EPrim p => ((L'.EPrim p, loc), primType env p, [])
| L.EVar ([], s) =>
(case E.lookupE env s of
E.NotBound =>
(expError env (UnboundExp (loc, s));
(eerror, cerror, []))
| E.Rel (n, t) => ((L'.ERel n, loc), t, [])
| E.Named (n, t) => ((L'.ENamed n, loc), t, []))
| L.EVar (m1 :: ms, s) =>
(case E.lookupStr env m1 of
NONE => (expError env (UnboundStrInExp (loc, m1));
(eerror, cerror, []))
| SOME (n, sgn) =>
let
val (str, sgn) = foldl (fn (m, (str, sgn)) =>
case E.projectStr env {sgn = sgn, str = str, field = m} of
NONE => (conError env (UnboundStrInCon (loc, m));
(strerror, sgnerror))
| SOME sgn => ((L'.StrProj (str, m), loc), sgn))
((L'.StrVar n, loc), sgn) ms
val t = case E.projectVal env {sgn = sgn, str = str, field = s} of
NONE => (expError env (UnboundExp (loc, s));
cerror)
| SOME t => t
in
((L'.EModProj (n, ms, s), loc), t, [])
end)
| L.EApp (e1, e2) =>
let
val (e1', t1, gs1) = elabExp (env, denv) e1
val (e1', t1, gs2) = elabHead (env, denv) e1' t1
val (e2', t2, gs3) = elabExp (env, denv) e2
val dom = cunif (loc, ktype)
val ran = cunif (loc, ktype)
val t = (L'.TFun (dom, ran), dummy)
val gs4 = checkCon (env, denv) e1' t1 t
val gs5 = checkCon (env, denv) e2' t2 dom
in
((L'.EApp (e1', e2'), loc), ran, gs1 @ gs2 @ gs3 @ gs4 @ gs5)
end
| L.EAbs (x, to, e) =>
let
val (t', gs1) = case to of
NONE => (cunif (loc, ktype), [])
| SOME t =>
let
val (t', tk, gs) = elabCon (env, denv) t
in
checkKind env t' tk ktype;
(t', gs)
end
val (e', et, gs2) = elabExp (E.pushERel env x t', denv) e
in
((L'.EAbs (x, t', et, e'), loc),
(L'.TFun (t', et), loc),
gs1 @ gs2)
end
| L.ECApp (e, c) =>
let
val (e', et, gs1) = elabExp (env, denv) e
val (e', et, gs2) = elabHead (env, denv) e' et
val (c', ck, gs3) = elabCon (env, denv) c
val ((et', _), gs4) = hnormCon (env, denv) et
in
case et' of
L'.CError => (eerror, cerror, [])
| L'.TCFun (_, _, k, eb) =>
let
val () = checkKind env c' ck k
val eb' = subConInCon (0, c') eb
handle SynUnif => (expError env (Unif ("substitution", eb));
cerror)
in
((L'.ECApp (e', c'), loc), eb', gs1 @ gs2 @ gs3 @ gs4)
end
| L'.CUnif _ =>
(expError env (Unif ("application", et));
(eerror, cerror, []))
| _ =>
(expError env (WrongForm ("constructor function", e', et));
(eerror, cerror, []))
end
| L.ECAbs (expl, x, k, e) =>
let
val expl' = elabExplicitness expl
val k' = elabKind k
val (e', et, gs) = elabExp (E.pushCRel env x k', D.enter denv) e
in
((L'.ECAbs (expl', x, k', e'), loc),
(L'.TCFun (expl', x, k', et), loc),
gs)
end
| L.EDisjoint (c1, c2, e) =>
let
val (c1', k1, gs1) = elabCon (env, denv) c1
val (c2', k2, gs2) = elabCon (env, denv) c2
val ku1 = kunif loc
val ku2 = kunif loc
val (denv', gs3) = D.assert env denv (c1', c2')
val (e', t, gs4) = elabExp (env, denv') e
in
checkKind env c1' k1 (L'.KRecord ku1, loc);
checkKind env c2' k2 (L'.KRecord ku2, loc);
(e', (L'.TDisjoint (c1', c2', t), loc), gs1 @ gs2 @ gs3 @ gs4)
end
| L.ERecord xes =>
let
val (xes', gs) = ListUtil.foldlMap (fn ((x, e), gs) =>
let
val (x', xk, gs1) = elabCon (env, denv) x
val (e', et, gs2) = elabExp (env, denv) e
in
checkKind env x' xk kname;
((x', e', et), gs1 @ gs2 @ gs)
end)
[] xes
val k = (L'.KType, loc)
fun prove (xets, gs) =
case xets of
[] => gs
| (x, _, t) :: rest =>
let
val xc = (x, t)
val r1 = (L'.CRecord (k, [xc]), loc)
val gs = foldl (fn ((x', _, t'), gs) =>
let
val xc' = (x', t')
val r2 = (L'.CRecord (k, [xc']), loc)
in
D.prove env denv (r1, r2, loc) @ gs
end)
gs rest
in
prove (rest, gs)
end
in
((L'.ERecord xes', loc),
(L'.TRecord (L'.CRecord (ktype, map (fn (x', _, et) => (x', et)) xes'), loc), loc),
prove (xes', gs))
end
| L.EField (e, c) =>
let
val (e', et, gs1) = elabExp (env, denv) e
val (c', ck, gs2) = elabCon (env, denv) c
val ft = cunif (loc, ktype)
val rest = cunif (loc, ktype_record)
val first = (L'.CRecord (ktype, [(c', ft)]), loc)
val gs3 =
checkCon (env, denv) e' et
(L'.TRecord (L'.CConcat (first, rest), loc), loc)
val gs4 = D.prove env denv (first, rest, loc)
in
((L'.EField (e', c', {field = ft, rest = rest}), loc), ft, gs1 @ gs2 @ gs3 @ gs4)
end
| L.ECut (e, c) =>
let
val (e', et, gs1) = elabExp (env, denv) e
val (c', ck, gs2) = elabCon (env, denv) c
val ft = cunif (loc, ktype)
val rest = cunif (loc, ktype_record)
val first = (L'.CRecord (ktype, [(c', ft)]), loc)
val gs3 =
checkCon (env, denv) e' et
(L'.TRecord (L'.CConcat (first, rest), loc), loc)
val gs4 = D.prove env denv (first, rest, loc)
in
((L'.ECut (e', c', {field = ft, rest = rest}), loc), (L'.TRecord rest, loc), gs1 @ gs2 @ gs3 @ gs4)
end
| L.EFold =>
let
val dom = kunif loc
in
((L'.EFold dom, loc), foldType (dom, loc), [])
end
end
datatype decl_error =
KunifsRemain of L'.decl list
| CunifsRemain of L'.decl list
fun lspan [] = ErrorMsg.dummySpan
| lspan ((_, loc) :: _) = loc
fun declError env err =
case err of
KunifsRemain ds =>
(ErrorMsg.errorAt (lspan ds) "Some kind unification variables are undetermined in declaration";
eprefaces' [("Decl", p_list_sep PD.newline (p_decl env) ds)])
| CunifsRemain ds =>
(ErrorMsg.errorAt (lspan ds) "Some constructor unification variables are undetermined in declaration";
eprefaces' [("Decl", p_list_sep PD.newline (p_decl env) ds)])
datatype sgn_error =
UnboundSgn of ErrorMsg.span * string
| UnmatchedSgi of L'.sgn_item
| SgiWrongKind of L'.sgn_item * L'.kind * L'.sgn_item * L'.kind * kunify_error
| SgiWrongCon of L'.sgn_item * L'.con * L'.sgn_item * L'.con * cunify_error
| SgnWrongForm of L'.sgn * L'.sgn
| UnWhereable of L'.sgn * string
| WhereWrongKind of L'.kind * L'.kind * kunify_error
| NotIncludable of L'.sgn
| DuplicateCon of ErrorMsg.span * string
| DuplicateVal of ErrorMsg.span * string
| DuplicateSgn of ErrorMsg.span * string
| DuplicateStr of ErrorMsg.span * string
| NotConstraintsable of L'.sgn
fun sgnError env err =
case err of
UnboundSgn (loc, s) =>
ErrorMsg.errorAt loc ("Unbound signature variable " ^ s)
| UnmatchedSgi (sgi as (_, loc)) =>
(ErrorMsg.errorAt loc "Unmatched signature item";
eprefaces' [("Item", p_sgn_item env sgi)])
| SgiWrongKind (sgi1, k1, sgi2, k2, kerr) =>
(ErrorMsg.errorAt (#2 sgi1) "Kind unification failure in signature matching:";
eprefaces' [("Have", p_sgn_item env sgi1),
("Need", p_sgn_item env sgi2),
("Kind 1", p_kind k1),
("Kind 2", p_kind k2)];
kunifyError kerr)
| SgiWrongCon (sgi1, c1, sgi2, c2, cerr) =>
(ErrorMsg.errorAt (#2 sgi1) "Constructor unification failure in signature matching:";
eprefaces' [("Have", p_sgn_item env sgi1),
("Need", p_sgn_item env sgi2),
("Con 1", p_con env c1),
("Con 2", p_con env c2)];
cunifyError env cerr)
| SgnWrongForm (sgn1, sgn2) =>
(ErrorMsg.errorAt (#2 sgn1) "Incompatible signatures:";
eprefaces' [("Sig 1", p_sgn env sgn1),
("Sig 2", p_sgn env sgn2)])
| UnWhereable (sgn, x) =>
(ErrorMsg.errorAt (#2 sgn) "Unavailable field for 'where'";
eprefaces' [("Signature", p_sgn env sgn),
("Field", PD.string x)])
| WhereWrongKind (k1, k2, kerr) =>
(ErrorMsg.errorAt (#2 k1) "Wrong kind for 'where'";
eprefaces' [("Have", p_kind k1),
("Need", p_kind k2)];
kunifyError kerr)
| NotIncludable sgn =>
(ErrorMsg.errorAt (#2 sgn) "Invalid signature to 'include'";
eprefaces' [("Signature", p_sgn env sgn)])
| DuplicateCon (loc, s) =>
ErrorMsg.errorAt loc ("Duplicate constructor " ^ s ^ " in signature")
| DuplicateVal (loc, s) =>
ErrorMsg.errorAt loc ("Duplicate value " ^ s ^ " in signature")
| DuplicateSgn (loc, s) =>
ErrorMsg.errorAt loc ("Duplicate signature " ^ s ^ " in signature")
| DuplicateStr (loc, s) =>
ErrorMsg.errorAt loc ("Duplicate structure " ^ s ^ " in signature")
| NotConstraintsable sgn =>
(ErrorMsg.errorAt (#2 sgn) "Invalid signature for 'open constraints'";
eprefaces' [("Signature", p_sgn env sgn)])
datatype str_error =
UnboundStr of ErrorMsg.span * string
| NotFunctor of L'.sgn
| FunctorRebind of ErrorMsg.span
| UnOpenable of L'.sgn
| NotType of L'.kind * (L'.kind * L'.kind * kunify_error)
fun strError env err =
case err of
UnboundStr (loc, s) =>
ErrorMsg.errorAt loc ("Unbound structure variable " ^ s)
| NotFunctor sgn =>
(ErrorMsg.errorAt (#2 sgn) "Application of non-functor";
eprefaces' [("Signature", p_sgn env sgn)])
| FunctorRebind loc =>
ErrorMsg.errorAt loc "Attempt to rebind functor"
| UnOpenable sgn =>
(ErrorMsg.errorAt (#2 sgn) "Un-openable structure";
eprefaces' [("Signature", p_sgn env sgn)])
| NotType (k, (k1, k2, ue)) =>
(ErrorMsg.errorAt (#2 k) "'val' type kind is not 'Type'";
eprefaces' [("Kind", p_kind k),
("Subkind 1", p_kind k1),
("Subkind 2", p_kind k2)];
kunifyError ue)
val hnormSgn = E.hnormSgn
fun elabSgn_item ((sgi, loc), (env, denv, gs)) =
case sgi of
L.SgiConAbs (x, k) =>
let
val k' = elabKind k
val (env', n) = E.pushCNamed env x k' NONE
in
([(L'.SgiConAbs (x, n, k'), loc)], (env', denv, gs))
end
| L.SgiCon (x, ko, c) =>
let
val k' = case ko of
NONE => kunif loc
| SOME k => elabKind k
val (c', ck, gs') = elabCon (env, denv) c
val (env', n) = E.pushCNamed env x k' (SOME c')
in
checkKind env c' ck k';
([(L'.SgiCon (x, n, k', c'), loc)], (env', denv, gs' @ gs))
end
| L.SgiVal (x, c) =>
let
val (c', ck, gs') = elabCon (env, denv) c
val (env', n) = E.pushENamed env x c'
in
(unifyKinds ck ktype
handle KUnify ue => strError env (NotType (ck, ue)));
([(L'.SgiVal (x, n, c'), loc)], (env', denv, gs' @ gs))
end
| L.SgiStr (x, sgn) =>
let
val (sgn', gs') = elabSgn (env, denv) sgn
val (env', n) = E.pushStrNamed env x sgn'
in
([(L'.SgiStr (x, n, sgn'), loc)], (env', denv, gs' @ gs))
end
| L.SgiSgn (x, sgn) =>
let
val (sgn', gs') = elabSgn (env, denv) sgn
val (env', n) = E.pushSgnNamed env x sgn'
in
([(L'.SgiSgn (x, n, sgn'), loc)], (env', denv, gs' @ gs))
end
| L.SgiInclude sgn =>
let
val (sgn', gs') = elabSgn (env, denv) sgn
in
case #1 (hnormSgn env sgn') of
L'.SgnConst sgis =>
(sgis, (foldl (fn (sgi, env) => E.sgiBinds env sgi) env sgis, denv, gs' @ gs))
| _ => (sgnError env (NotIncludable sgn');
([], (env, denv, [])))
end
| L.SgiConstraint (c1, c2) =>
let
val (c1', k1, gs1) = elabCon (env, denv) c1
val (c2', k2, gs2) = elabCon (env, denv) c2
val (denv, gs3) = D.assert env denv (c1', c2')
in
checkKind env c1' k1 (L'.KRecord (kunif loc), loc);
checkKind env c2' k2 (L'.KRecord (kunif loc), loc);
([(L'.SgiConstraint (c1', c2'), loc)], (env, denv, gs1 @ gs2 @ gs3))
end
and elabSgn (env, denv) (sgn, loc) =
case sgn of
L.SgnConst sgis =>
let
val (sgis', (_, _, gs)) = ListUtil.foldlMapConcat elabSgn_item (env, denv, []) sgis
val _ = foldl (fn ((sgi, loc), (cons, vals, sgns, strs)) =>
case sgi of
L'.SgiConAbs (x, _, _) =>
(if SS.member (cons, x) then
sgnError env (DuplicateCon (loc, x))
else
();
(SS.add (cons, x), vals, sgns, strs))
| L'.SgiCon (x, _, _, _) =>
(if SS.member (cons, x) then
sgnError env (DuplicateCon (loc, x))
else
();
(SS.add (cons, x), vals, sgns, strs))
| L'.SgiVal (x, _, _) =>
(if SS.member (vals, x) then
sgnError env (DuplicateVal (loc, x))
else
();
(cons, SS.add (vals, x), sgns, strs))
| L'.SgiSgn (x, _, _) =>
(if SS.member (sgns, x) then
sgnError env (DuplicateSgn (loc, x))
else
();
(cons, vals, SS.add (sgns, x), strs))
| L'.SgiStr (x, _, _) =>
(if SS.member (strs, x) then
sgnError env (DuplicateStr (loc, x))
else
();
(cons, vals, sgns, SS.add (strs, x)))
| L'.SgiConstraint _ => (cons, vals, sgns, strs))
(SS.empty, SS.empty, SS.empty, SS.empty) sgis'
in
((L'.SgnConst sgis', loc), gs)
end
| L.SgnVar x =>
(case E.lookupSgn env x of
NONE =>
(sgnError env (UnboundSgn (loc, x));
((L'.SgnError, loc), []))
| SOME (n, sgis) => ((L'.SgnVar n, loc), []))
| L.SgnFun (m, dom, ran) =>
let
val (dom', gs1) = elabSgn (env, denv) dom
val (env', n) = E.pushStrNamed env m dom'
val (ran', gs2) = elabSgn (env', denv) ran
in
((L'.SgnFun (m, n, dom', ran'), loc), gs1 @ gs2)
end
| L.SgnWhere (sgn, x, c) =>
let
val (sgn', ds1) = elabSgn (env, denv) sgn
val (c', ck, ds2) = elabCon (env, denv) c
in
case #1 (hnormSgn env sgn') of
L'.SgnError => (sgnerror, [])
| L'.SgnConst sgis =>
if List.exists (fn (L'.SgiConAbs (x', _, k), _) =>
x' = x andalso
(unifyKinds k ck
handle KUnify x => sgnError env (WhereWrongKind x);
true)
| _ => false) sgis then
((L'.SgnWhere (sgn', x, c'), loc), ds1 @ ds2)
else
(sgnError env (UnWhereable (sgn', x));
(sgnerror, []))
| _ => (sgnError env (UnWhereable (sgn', x));
(sgnerror, []))
end
| L.SgnProj (m, ms, x) =>
(case E.lookupStr env m of
NONE => (strError env (UnboundStr (loc, m));
(sgnerror, []))
| SOME (n, sgn) =>
let
val (str, sgn) = foldl (fn (m, (str, sgn)) =>
case E.projectStr env {sgn = sgn, str = str, field = m} of
NONE => (strError env (UnboundStr (loc, m));
(strerror, sgnerror))
| SOME sgn => ((L'.StrProj (str, m), loc), sgn))
((L'.StrVar n, loc), sgn) ms
in
case E.projectSgn env {sgn = sgn, str = str, field = x} of
NONE => (sgnError env (UnboundSgn (loc, x));
(sgnerror, []))
| SOME _ => ((L'.SgnProj (n, ms, x), loc), [])
end)
fun selfify env {str, strs, sgn} =
case #1 (hnormSgn env sgn) of
L'.SgnError => sgn
| L'.SgnVar _ => sgn
| L'.SgnConst sgis =>
(L'.SgnConst (map (fn (L'.SgiConAbs (x, n, k), loc) =>
(L'.SgiCon (x, n, k, (L'.CModProj (str, strs, x), loc)), loc)
| (L'.SgiStr (x, n, sgn), loc) =>
(L'.SgiStr (x, n, selfify env {str = str, strs = strs @ [x], sgn = sgn}), loc)
| x => x) sgis), #2 sgn)
| L'.SgnFun _ => sgn
| L'.SgnWhere _ => sgn
| L'.SgnProj (m, ms, x) =>
case E.projectSgn env {str = foldl (fn (m, str) => (L'.StrProj (str, m), #2 sgn))
(L'.StrVar m, #2 sgn) ms,
sgn = #2 (E.lookupStrNamed env m),
field = x} of
NONE => raise Fail "Elaborate.selfify: projectSgn returns NONE"
| SOME sgn => selfify env {str = str, strs = strs, sgn = sgn}
fun selfifyAt env {str, sgn} =
let
fun self (str, _) =
case str of
L'.StrVar x => SOME (x, [])
| L'.StrProj (str, x) =>
(case self str of
NONE => NONE
| SOME (m, ms) => SOME (m, ms @ [x]))
| _ => NONE
in
case self str of
NONE => sgn
| SOME (str, strs) => selfify env {sgn = sgn, str = str, strs = strs}
end
fun dopen (env, denv) {str, strs, sgn} =
let
val m = foldl (fn (m, str) => (L'.StrProj (str, m), #2 sgn))
(L'.StrVar str, #2 sgn) strs
in
case #1 (hnormSgn env sgn) of
L'.SgnConst sgis =>
ListUtil.foldlMap (fn ((sgi, loc), (env', denv')) =>
case sgi of
L'.SgiConAbs (x, n, k) =>
let
val c = (L'.CModProj (str, strs, x), loc)
in
((L'.DCon (x, n, k, c), loc),
(E.pushCNamedAs env' x n k (SOME c), denv'))
end
| L'.SgiCon (x, n, k, c) =>
((L'.DCon (x, n, k, (L'.CModProj (str, strs, x), loc)), loc),
(E.pushCNamedAs env' x n k (SOME c), denv'))
| L'.SgiVal (x, n, t) =>
((L'.DVal (x, n, t, (L'.EModProj (str, strs, x), loc)), loc),
(E.pushENamedAs env' x n t, denv'))
| L'.SgiStr (x, n, sgn) =>
((L'.DStr (x, n, sgn, (L'.StrProj (m, x), loc)), loc),
(E.pushStrNamedAs env' x n sgn, denv'))
| L'.SgiSgn (x, n, sgn) =>
((L'.DSgn (x, n, (L'.SgnProj (str, strs, x), loc)), loc),
(E.pushSgnNamedAs env' x n sgn, denv'))
| L'.SgiConstraint (c1, c2) =>
((L'.DConstraint (c1, c2), loc),
(env', denv (* D.assert env denv (c1, c2) *) )))
(env, denv) sgis
| _ => (strError env (UnOpenable sgn);
([], (env, denv)))
end
fun dopenConstraints (loc, env, denv) {str, strs} =
case E.lookupStr env str of
NONE => (strError env (UnboundStr (loc, str));
denv)
| SOME (n, sgn) =>
let
val (st, sgn) = foldl (fn (m, (str, sgn)) =>
case E.projectStr env {str = str, sgn = sgn, field = m} of
NONE => (strError env (UnboundStr (loc, m));
(strerror, sgnerror))
| SOME sgn => ((L'.StrProj (str, m), loc), sgn))
((L'.StrVar n, loc), sgn) strs
val cso = E.projectConstraints env {sgn = sgn, str = st}
val denv = case cso of
NONE => (strError env (UnboundStr (loc, str));
denv)
| SOME cs => foldl (fn ((c1, c2), denv) =>
let
val (denv, gs) = D.assert env denv (c1, c2)
in
case gs of
[] => ()
| _ => raise Fail "dopenConstraints: Sub-constraints remain";
denv
end) denv cs
in
denv
end
fun sgiOfDecl (d, loc) =
case d of
L'.DCon (x, n, k, c) => [(L'.SgiCon (x, n, k, c), loc)]
| L'.DVal (x, n, t, _) => [(L'.SgiVal (x, n, t), loc)]
| L'.DValRec vis => map (fn (x, n, t, _) => (L'.SgiVal (x, n, t), loc)) vis
| L'.DSgn (x, n, sgn) => [(L'.SgiSgn (x, n, sgn), loc)]
| L'.DStr (x, n, sgn, _) => [(L'.SgiStr (x, n, sgn), loc)]
| L'.DFfiStr (x, n, sgn) => [(L'.SgiStr (x, n, sgn), loc)]
| L'.DConstraint cs => [(L'.SgiConstraint cs, loc)]
| L'.DExport _ => []
fun sgiBindsD (env, denv) (sgi, _) =
case sgi of
L'.SgiConstraint (c1, c2) =>
(case D.assert env denv (c1, c2) of
(denv, []) => denv
| _ => raise Fail "sgiBindsD: Sub-constraints remain")
| _ => denv
fun subSgn (env, denv) sgn1 (sgn2 as (_, loc2)) =
case (#1 (hnormSgn env sgn1), #1 (hnormSgn env sgn2)) of
(L'.SgnError, _) => ()
| (_, L'.SgnError) => ()
| (L'.SgnConst sgis1, L'.SgnConst sgis2) =>
let
fun folder (sgi2All as (sgi, _), (env, denv)) =
let
fun seek p =
let
fun seek (env, denv) ls =
case ls of
[] => (sgnError env (UnmatchedSgi sgi2All);
(env, denv))
| h :: t =>
case p h of
NONE => seek (E.sgiBinds env h, sgiBindsD (env, denv) h) t
| SOME envs => envs
in
seek (env, denv) sgis1
end
in
case sgi of
L'.SgiConAbs (x, n2, k2) =>
seek (fn sgi1All as (sgi1, _) =>
let
fun found (x', n1, k1, co1) =
if x = x' then
let
val () = unifyKinds k1 k2
handle KUnify (k1, k2, err) =>
sgnError env (SgiWrongKind (sgi1All, k1, sgi2All, k2, err))
val env = E.pushCNamedAs env x n1 k1 co1
in
SOME (if n1 = n2 then
env
else
E.pushCNamedAs env x n2 k2 (SOME (L'.CNamed n1, loc2)),
denv)
end
else
NONE
in
case sgi1 of
L'.SgiConAbs (x', n1, k1) => found (x', n1, k1, NONE)
| L'.SgiCon (x', n1, k1, c1) => found (x', n1, k1, SOME c1)
| _ => NONE
end)
| L'.SgiCon (x, n2, k2, c2) =>
seek (fn sgi1All as (sgi1, _) =>
case sgi1 of
L'.SgiCon (x', n1, k1, c1) =>
if x = x' then
let
fun good () = SOME (E.pushCNamedAs env x n2 k2 (SOME c2), denv)
in
(case unifyCons (env, denv) c1 c2 of
[] => good ()
| _ => NONE)
handle CUnify (c1, c2, err) =>
(sgnError env (SgiWrongCon (sgi1All, c1, sgi2All, c2, err));
good ())
end
else
NONE
| _ => NONE)
| L'.SgiVal (x, n2, c2) =>
seek (fn sgi1All as (sgi1, _) =>
case sgi1 of
L'.SgiVal (x', n1, c1) =>
if x = x' then
(case unifyCons (env, denv) c1 c2 of
[] => SOME (env, denv)
| _ => NONE)
handle CUnify (c1, c2, err) =>
(sgnError env (SgiWrongCon (sgi1All, c1, sgi2All, c2, err));
SOME (env, denv))
else
NONE
| _ => NONE)
| L'.SgiStr (x, n2, sgn2) =>
seek (fn sgi1All as (sgi1, _) =>
case sgi1 of
L'.SgiStr (x', n1, sgn1) =>
if x = x' then
let
val () = subSgn (env, denv) sgn1 sgn2
val env = E.pushStrNamedAs env x n1 sgn1
val env = if n1 = n2 then
env
else
E.pushStrNamedAs env x n2
(selfifyAt env {str = (L'.StrVar n1, #2 sgn2),
sgn = sgn2})
in
SOME (env, denv)
end
else
NONE
| _ => NONE)
| L'.SgiSgn (x, n2, sgn2) =>
seek (fn sgi1All as (sgi1, _) =>
case sgi1 of
L'.SgiSgn (x', n1, sgn1) =>
if x = x' then
let
val () = subSgn (env, denv) sgn1 sgn2
val () = subSgn (env, denv) sgn2 sgn1
val env = E.pushSgnNamedAs env x n2 sgn2
val env = if n1 = n2 then
env
else
E.pushSgnNamedAs env x n1 sgn2
in
SOME (env, denv)
end
else
NONE
| _ => NONE)
| L'.SgiConstraint (c2, d2) =>
seek (fn sgi1All as (sgi1, _) =>
case sgi1 of
L'.SgiConstraint (c1, d1) =>
if consEq (env, denv) (c1, c2) andalso consEq (env, denv) (d1, d2) then
let
val (denv, gs) = D.assert env denv (c2, d2)
in
case gs of
[] => ()
| _ => raise Fail "subSgn: Sub-constraints remain";
SOME (env, denv)
end
else
NONE
| _ => NONE)
end
in
ignore (foldl folder (env, denv) sgis2)
end
| (L'.SgnFun (m1, n1, dom1, ran1), L'.SgnFun (m2, n2, dom2, ran2)) =>
let
val ran1 =
if n1 = n2 then
ran1
else
subStrInSgn (n1, n2) ran1
in
subSgn (env, denv) dom2 dom1;
subSgn (E.pushStrNamedAs env m2 n2 dom2, denv) ran1 ran2
end
| _ => sgnError env (SgnWrongForm (sgn1, sgn2))
fun elabDecl ((d, loc), (env, denv, gs)) =
case d of
L.DCon (x, ko, c) =>
let
val k' = case ko of
NONE => kunif loc
| SOME k => elabKind k
val (c', ck, gs') = elabCon (env, denv) c
val (env', n) = E.pushCNamed env x k' (SOME c')
in
checkKind env c' ck k';
([(L'.DCon (x, n, k', c'), loc)], (env', denv, gs' @ gs))
end
| L.DVal (x, co, e) =>
let
val (c', _, gs1) = case co of
NONE => (cunif (loc, ktype), ktype, [])
| SOME c => elabCon (env, denv) c
val (e', et, gs2) = elabExp (env, denv) e
val (env', n) = E.pushENamed env x c'
val gs3 = checkCon (env, denv) e' et c'
in
([(L'.DVal (x, n, c', e'), loc)], (env', denv, gs1 @ gs2 @ gs3 @ gs))
end
| L.DValRec vis =>
let
val (vis, gs) = ListUtil.foldlMap
(fn ((x, co, e), gs) =>
let
val (c', _, gs1) = case co of
NONE => (cunif (loc, ktype), ktype, [])
| SOME c => elabCon (env, denv) c
in
((x, c', e), gs1 @ gs)
end) [] vis
val (vis, env) = ListUtil.foldlMap (fn ((x, c', e), env) =>
let
val (env, n) = E.pushENamed env x c'
in
((x, n, c', e), env)
end) env vis
val (vis, gs) = ListUtil.foldlMap (fn ((x, n, c', e), gs) =>
let
val (e', et, gs1) = elabExp (env, denv) e
val gs2 = checkCon (env, denv) e' et c'
in
((x, n, c', e'), gs1 @ gs2 @ gs)
end) gs vis
in
([(L'.DValRec vis, loc)], (env, denv, gs))
end
| L.DSgn (x, sgn) =>
let
val (sgn', gs') = elabSgn (env, denv) sgn
val (env', n) = E.pushSgnNamed env x sgn'
in
([(L'.DSgn (x, n, sgn'), loc)], (env', denv, gs' @ gs))
end
| L.DStr (x, sgno, str) =>
let
val () = if x = "Basis" then
raise Fail "Not allowed to redefine structure 'Basis'"
else
()
val formal = Option.map (elabSgn (env, denv)) sgno
val (str', sgn', gs') =
case formal of
NONE =>
let
val (str', actual, ds) = elabStr (env, denv) str
in
(str', selfifyAt env {str = str', sgn = actual}, ds)
end
| SOME (formal, gs1) =>
let
val str =
case #1 (hnormSgn env formal) of
L'.SgnConst sgis =>
(case #1 str of
L.StrConst ds =>
let
val needed = foldl (fn ((sgi, _), needed) =>
case sgi of
L'.SgiConAbs (x, _, _) => SS.add (needed, x)
| _ => needed)
SS.empty sgis
val needed = foldl (fn ((d, _), needed) =>
case d of
L.DCon (x, _, _) => (SS.delete (needed, x)
handle NotFound => needed)
| L.DOpen _ => SS.empty
| _ => needed)
needed ds
in
case SS.listItems needed of
[] => str
| xs =>
let
val kwild = (L.KWild, #2 str)
val cwild = (L.CWild kwild, #2 str)
val ds' = map (fn x => (L.DCon (x, NONE, cwild), #2 str)) xs
in
(L.StrConst (ds @ ds'), #2 str)
end
end
| _ => str)
| _ => str
val (str', actual, gs2) = elabStr (env, denv) str
in
subSgn (env, denv) actual formal;
(str', formal, gs1 @ gs2)
end
val (env', n) = E.pushStrNamed env x sgn'
in
case #1 (hnormSgn env sgn') of
L'.SgnFun _ =>
(case #1 str' of
L'.StrFun _ => ()
| _ => strError env (FunctorRebind loc))
| _ => ();
([(L'.DStr (x, n, sgn', str'), loc)], (env', denv, gs' @ gs))
end
| L.DFfiStr (x, sgn) =>
let
val (sgn', gs') = elabSgn (env, denv) sgn
val (env', n) = E.pushStrNamed env x sgn'
in
([(L'.DFfiStr (x, n, sgn'), loc)], (env', denv, gs' @ gs))
end
| L.DOpen (m, ms) =>
(case E.lookupStr env m of
NONE => (strError env (UnboundStr (loc, m));
([], (env, denv, [])))
| SOME (n, sgn) =>
let
val (_, sgn) = foldl (fn (m, (str, sgn)) =>
case E.projectStr env {str = str, sgn = sgn, field = m} of
NONE => (strError env (UnboundStr (loc, m));
(strerror, sgnerror))
| SOME sgn => ((L'.StrProj (str, m), loc), sgn))
((L'.StrVar n, loc), sgn) ms
val (ds, (env', denv')) = dopen (env, denv) {str = n, strs = ms, sgn = sgn}
val denv' = dopenConstraints (loc, env', denv') {str = m, strs = ms}
in
(ds, (env', denv', []))
end)
| L.DConstraint (c1, c2) =>
let
val (c1', k1, gs1) = elabCon (env, denv) c1
val (c2', k2, gs2) = elabCon (env, denv) c2
val gs3 = D.prove env denv (c1', c2', loc)
val (denv', gs4) = D.assert env denv (c1', c2')
in
checkKind env c1' k1 (L'.KRecord (kunif loc), loc);
checkKind env c2' k2 (L'.KRecord (kunif loc), loc);
([(L'.DConstraint (c1', c2'), loc)], (env, denv', gs1 @ gs2 @ gs3 @ gs4))
end
| L.DOpenConstraints (m, ms) =>
let
val denv = dopenConstraints (loc, env, denv) {str = m, strs = ms}
in
([], (env, denv, []))
end
| L.DExport str =>
let
val (str', sgn, gs) = elabStr (env, denv) str
val sgn =
case #1 (hnormSgn env sgn) of
L'.SgnConst sgis =>
let
fun doOne (all as (sgi, _), env) =
(case sgi of
L'.SgiVal (x, n, t) =>
(case hnormCon (env, denv) t of
((L'.TFun (dom, ran), _), []) =>
(case (hnormCon (env, denv) dom, hnormCon (env, denv) ran) of
(((L'.TRecord domR, _), []),
((L'.CApp (tf, arg3), _), [])) =>
(case (hnormCon (env, denv) tf, hnormCon (env, denv) arg3) of
(((L'.CApp (tf, arg2), _), []),
(((L'.CRecord (_, []), _), []))) =>
(case (hnormCon (env, denv) tf) of
((L'.CApp (tf, arg1), _), []) =>
(case (hnormCon (env, denv) tf,
hnormCon (env, denv) domR,
hnormCon (env, denv) arg2) of
((tf, []), (domR, []),
((L'.CRecord (_, []), _), [])) =>
let
val t = (L'.CApp (tf, arg1), loc)
val t = (L'.CApp (t, arg2), loc)
val t = (L'.CApp (t, arg3), loc)
in
(L'.SgiVal (x, n, (L'.TFun ((L'.TRecord domR, loc),
t),
loc)), loc)
end
| _ => all)
| _ => all)
| _ => all)
| _ => all)
| _ => all)
| _ => all,
E.sgiBinds env all)
in
(L'.SgnConst (#1 (ListUtil.foldlMap doOne env sgis)), loc)
end
| _ => sgn
in
([(L'.DExport (E.newNamed (), sgn, str'), loc)], (env, denv, gs))
end
and elabStr (env, denv) (str, loc) =
case str of
L.StrConst ds =>
let
val (ds', (_, _, gs)) = ListUtil.foldlMapConcat elabDecl (env, denv, []) ds
val sgis = ListUtil.mapConcat sgiOfDecl ds'
val (sgis, _, _, _, _) =
foldr (fn ((sgi, loc), (sgis, cons, vals, sgns, strs)) =>
case sgi of
L'.SgiConAbs (x, n, k) =>
let
val (cons, x) =
if SS.member (cons, x) then
(cons, "?" ^ x)
else
(SS.add (cons, x), x)
in
((L'.SgiConAbs (x, n, k), loc) :: sgis, cons, vals, sgns, strs)
end
| L'.SgiCon (x, n, k, c) =>
let
val (cons, x) =
if SS.member (cons, x) then
(cons, "?" ^ x)
else
(SS.add (cons, x), x)
in
((L'.SgiCon (x, n, k, c), loc) :: sgis, cons, vals, sgns, strs)
end
| L'.SgiVal (x, n, c) =>
let
val (vals, x) =
if SS.member (vals, x) then
(vals, "?" ^ x)
else
(SS.add (vals, x), x)
in
((L'.SgiVal (x, n, c), loc) :: sgis, cons, vals, sgns, strs)
end
| L'.SgiSgn (x, n, sgn) =>
let
val (sgns, x) =
if SS.member (sgns, x) then
(sgns, "?" ^ x)
else
(SS.add (sgns, x), x)
in
((L'.SgiSgn (x, n, sgn), loc) :: sgis, cons, vals, sgns, strs)
end
| L'.SgiStr (x, n, sgn) =>
let
val (strs, x) =
if SS.member (strs, x) then
(strs, "?" ^ x)
else
(SS.add (strs, x), x)
in
((L'.SgiStr (x, n, sgn), loc) :: sgis, cons, vals, sgns, strs)
end
| L'.SgiConstraint _ => ((sgi, loc) :: sgis, cons, vals, sgns, strs))
([], SS.empty, SS.empty, SS.empty, SS.empty) sgis
in
((L'.StrConst ds', loc), (L'.SgnConst sgis, loc), gs)
end
| L.StrVar x =>
(case E.lookupStr env x of
NONE =>
(strError env (UnboundStr (loc, x));
(strerror, sgnerror, []))
| SOME (n, sgn) => ((L'.StrVar n, loc), sgn, []))
| L.StrProj (str, x) =>
let
val (str', sgn, gs) = elabStr (env, denv) str
in
case E.projectStr env {str = str', sgn = sgn, field = x} of
NONE => (strError env (UnboundStr (loc, x));
(strerror, sgnerror, []))
| SOME sgn => ((L'.StrProj (str', x), loc), sgn, gs)
end
| L.StrFun (m, dom, ranO, str) =>
let
val (dom', gs1) = elabSgn (env, denv) dom
val (env', n) = E.pushStrNamed env m dom'
val (str', actual, gs2) = elabStr (env', denv) str
val (formal, gs3) =
case ranO of
NONE => (actual, [])
| SOME ran =>
let
val (ran', gs) = elabSgn (env', denv) ran
in
subSgn (env', denv) actual ran';
(ran', gs)
end
in
((L'.StrFun (m, n, dom', formal, str'), loc),
(L'.SgnFun (m, n, dom', formal), loc),
gs1 @ gs2 @ gs3)
end
| L.StrApp (str1, str2) =>
let
val (str1', sgn1, gs1) = elabStr (env, denv) str1
val (str2', sgn2, gs2) = elabStr (env, denv) str2
in
case #1 (hnormSgn env sgn1) of
L'.SgnError => (strerror, sgnerror, [])
| L'.SgnFun (m, n, dom, ran) =>
(subSgn (env, denv) sgn2 dom;
case #1 (hnormSgn env ran) of
L'.SgnError => (strerror, sgnerror, [])
| L'.SgnConst sgis =>
((L'.StrApp (str1', str2'), loc),
(L'.SgnConst ((L'.SgiStr (m, n, selfifyAt env {str = str2', sgn = sgn2}), loc) :: sgis), loc),
gs1 @ gs2)
| _ => raise Fail "Unable to hnormSgn in functor application")
| _ => (strError env (NotFunctor sgn1);
(strerror, sgnerror, []))
end
fun elabFile basis env file =
let
val (sgn, gs) = elabSgn (env, D.empty) (L.SgnConst basis, ErrorMsg.dummySpan)
val () = case gs of
[] => ()
| _ => raise Fail "Unresolved disjointness constraints in Basis"
val (env', basis_n) = E.pushStrNamed env "Basis" sgn
val (ds, (env', _)) = dopen (env', D.empty) {str = basis_n, strs = [], sgn = sgn}
fun discoverC r x =
case E.lookupC env' x of
E.NotBound => raise Fail ("Constructor " ^ x ^ " unbound in Basis")
| E.Rel _ => raise Fail ("Constructor " ^ x ^ " bound relatively in Basis")
| E.Named (n, (_, loc)) => r := (L'.CNamed n, loc)
val () = discoverC int "int"
val () = discoverC float "float"
val () = discoverC string "string"
fun elabDecl' (d, (env, gs)) =
let
val () = resetKunif ()
val () = resetCunif ()
val (ds, (env, _, gs)) = elabDecl (d, (env, D.empty, gs))
in
if ErrorMsg.anyErrors () then
()
else (
if List.exists kunifsInDecl ds then
declError env (KunifsRemain ds)
else
();
case ListUtil.search cunifsInDecl ds of
NONE => ()
| SOME loc =>
declError env (CunifsRemain ds)
);
(ds, (env, gs))
end
val (file, (_, gs)) = ListUtil.foldlMapConcat elabDecl' (env', []) file
in
if ErrorMsg.anyErrors () then
()
else
app (fn (loc, env, denv, c1, c2) =>
case D.prove env denv (c1, c2, loc) of
[] => ()
| _ =>
(ErrorMsg.errorAt loc "Couldn't prove field name disjointness";
eprefaces' [("Con 1", p_con env c1),
("Con 2", p_con env c2),
("Hnormed 1", p_con env (ElabOps.hnormCon env c1)),
("Hnormed 2", p_con env (ElabOps.hnormCon env c2))])) gs;
(L'.DFfiStr ("Basis", basis_n, sgn), ErrorMsg.dummySpan) :: ds @ file
end
end
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