structures: ref expr (semantics & impl, only for var refs for now), simple tests & constructor abbriviations for future

This commit is contained in:
ProgramSnail 2026-05-01 13:40:56 +00:00
parent 1bacb6dfd7
commit 80ac511c7a
2 changed files with 168 additions and 49 deletions

View file

@ -27,7 +27,8 @@ struct
type expr = UnitE
| PathE of path
(* | RefE *)
(* TODO: extend to include arbitrary path *)
| RefE of data
| TupleE of expr list
type stmt = SkipS
@ -96,11 +97,11 @@ struct
(* (((snd mem, v) :: fst mem, snd mem + 1), snd mem) *)
(* let mem_set (mem : mem) (id : memid) (v : value) : mem = *)
(* ((id, v) :: fst mem, snd mem) *)
let mem_get (mem : mem) (id : memid) : value = List.nth (fst mem) id
let mem_get (mem : mem) (id : memid) : value = (* FIXME TMP Printf.printf "l%i i%i %i: access\n" (snd mem) id (snd mem - id - 1); *) List.nth (fst mem) (snd mem - id - 1)
let mem_add (mem : mem) (v : value) : mem * memid =
((v :: fst mem, snd mem + 1), snd mem)
let mem_set (mem : mem) (id : memid) (v : value) : mem =
(list_replace (fst mem) id v, snd mem)
(list_replace (fst mem) (snd mem - id - 1) v, snd mem)
let rec v_to_deepv (mem : mem) (v : value) : deepvalue = match v with
| ZeroV -> ZeroDV
@ -130,7 +131,12 @@ struct
| _ -> raise @@ Typing_error "pathtype: access"
let rec pathval (mem : mem) (vals : vals) (p : path) : value = match p with
| VarP x -> mem_get mem @@ List.assoc x vals
| VarP x -> mem_get mem @@ ((* Printf.printf "%i: " x; (* FIXME TMP *)
ignore @@ List.map (fun (x, _) -> Printf.printf "%i " x) vals;
Printf.printf "mem size: %i, " (List.length (fst mem));
Printf.printf "mem size stored: %i " (snd mem);
Printf.printf "\n"; *)
List.assoc x vals)
| DerefP p -> (match pathval mem vals p with
| RefV id -> mem_get mem id
| _ -> raise @@ Typing_error "pathval: deref")
@ -197,6 +203,7 @@ struct
let rec exprval (mem : mem) (vals : vals) (e : expr) : value = match e with
| UnitE -> ZeroV
| PathE p -> pathval mem vals p
| RefE x -> RefV (List.assoc x vals)
| TupleE es -> TupleV (List.map (exprval mem vals) es)
(* - expression typing *)
@ -204,6 +211,7 @@ struct
let rec exprtype (types : types) (e : expr) : atype = match e with
| UnitE -> UnitT (Rd, NeverWr)
| PathE p -> pathtype types p
| RefE x -> RefT (Rf, List.assoc x types)
| TupleE es -> TupleT (List.map (exprtype types) es)
(* - context initialization *)
@ -220,7 +228,8 @@ struct
| FunD (ts, s) -> let (mem', id) = mem_add mem (FunV [s]) in
(mem', (x, FunT ts) :: types, (x, id) :: vals)
let empty_state : state = (([], 0), [], [])
let empty_mem : mem = ([], 0)
let empty_state : state = (empty_mem, [], [])
(* TODO: better way ??? *)
let globals_min_id : data = 1000
@ -237,11 +246,18 @@ struct
let is_correct_tags (v : value) (r : read_cap) (w : write_cap)
(r' : read_cap) (w' : write_cap) (m : mode)
(c : copy_cap) : bool =
(* FIXME TMP
Printf.printf "%b %b %b %b %b\n"
(r != Rd || v == ZeroV)
(r != Rd || fst m == In)
(snd m != Out || w == AlwaysWr)
(((not @@ (w == AlwaysWr || w == MayWr) && (snd m == Out || c == Rf)) || w' == AlwaysWr))
(is_trivial_v v); *)
(r != Rd || v == ZeroV) &&
(r != Rd || fst m == In) &&
(snd m != Out || w == AlwaysWr) &&
(* TODO: check *)
((not @@ (w == AlwaysWr || w == MayWr) && (snd m == Out || c == Rf)) || w' == AlwaysWr) &&
((not ((w == AlwaysWr || w == MayWr) && (snd m == Out || c == Rf))) || w' == AlwaysWr) &&
is_trivial_v v
let rec valspoil (mem : mem) (v : value) (t : atype)
@ -291,13 +307,13 @@ struct
(* - funciton argument addition *)
let addarg (state : state) (x : data) (t : atype) (e : expr) : state =
let addarg (state : state) (oldvals : vals) (x : data) (t : atype) (e : expr) : state =
match state with (mem, types, vals) ->
let v = exprval mem vals e in
let v = exprval mem oldvals e in
(* let t' = pathtype types p in *)
let (mem', v') = valcopy mem v t in
let (mem'', id) = mem_add mem' v in
(mem', (x, t) :: types, (x, id) :: vals)
(mem'', (x, t) :: types, (x, id) :: vals)
(* - function evaluation *)
@ -310,23 +326,25 @@ struct
match state with (mem, types, vals) -> match s with
(* TODO: FIXME: Add memoisation *)
| SkipS -> state
| CallS (f, es) -> let v = pathval mem vals f in
let t = pathtype types f in
| CallS (f, es) -> let v = (* FIXME TMP Printf.printf "call, before v\n"; *) pathval mem vals f in
let t = (* FIXME TMP Printf.printf "call, before t\n"; *) pathtype types f in
let types' : types = [] in
let vals' : vals = [] in
(match v, t with
| FunV (* xs, *) fstmts (* ) *), FunT ts ->
(* TODO: memoisation of the called functions *)
let (state_with_args, _) = List.fold_left2 (* TODO: FIXME: check x's order *)
(fun (st, x) (m, t) p -> (addarg st x t p, x + 1))
let (state_with_args, _) = (* FIXME TMP Printf.printf "call, before args\n"; *) List.fold_left2 (* TODO: FIXME: check x's order *)
(fun (st, x) (m, t) p -> (addarg st vals x t p, x + 1))
((mem, types', vals'), 0) ts es in
(* NOTE: same x's, so can use same args for all the statements *)
let _states_evaled = List.map (stmt_eval state_with_args) fstmts in
let mem_spoiled = List.fold_left2
let _states_evaled = (* FIXME TMP Printf.printf "call, before eval\n"; *) List.map (stmt_eval state_with_args) fstmts in
let mem_spoiled = (* FIXME TMP Printf.printf "call, before spoil\n"; *) List.fold_left2
(fun mem (m, t) e -> argsspoile (mem, types, vals) m t e)
mem ts es in
(mem_spoiled, types, vals)
| _, _ -> raise @@ Eval_error "call: function")
| FunV _, _ -> raise @@ Eval_error "call: function type"
| _, FunT _ -> raise @@ Eval_error "call: function val"
| _, _ -> raise @@ Eval_error "call: function type & val")
| WriteS p -> (match pathtype types p with
| UnitT (_, w) ->
if w == NeverWr
@ -361,7 +379,59 @@ struct
(* --- tests --- *)
(* - tests without functions *)
(* - shortcuts *)
let ( #. ) x y = SeqS (x, y)
let vx = VarP 0
let vy = VarP 1
let vz = VarP 2
let vgx = VarP (globals_min_id)
let vgy = VarP (globals_min_id + 1)
let vgz = VarP (globals_min_id + 2)
let drf p = DerefP p
let access p i = AccessP (p, i)
let wr x = ReadS x
let rd x = WriteS x
let skp = SkipS
let uT_r_aw = UnitT (Rd, AlwaysWr)
let uT_r_mw = UnitT (Rd, MayWr)
let uT_aw = UnitT (NRd, AlwaysWr)
let uT_mw = UnitT (NRd, MayWr)
let uT_r = UnitT (Rd, NeverWr)
let uT = UnitT (NRd, NeverWr)
let rfT t = RefT (Rf, t)
let cpT t = RefT (Cp, t)
let moded t = ((In, NOut), t)
let defg t = VarD (t, UnitE)
(* - utils tests *)
let%expect_test "mem add / get / set" =
let mem = empty_mem in
let (mem, id1) = mem_add mem ZeroV in
let (mem, id2) = mem_add mem SmthV in
let (mem, id3) = mem_add mem BotV in
Printf.printf "%i %i %i " id1 id2 id3;
Printf.printf "%b %b %b " (mem_get mem id1 == ZeroV)
(mem_get mem id2 == SmthV)
(mem_get mem id3 == BotV);
let mem = mem_set mem id1 BotV in
let mem = mem_set mem id2 ZeroV in
let mem = mem_set mem id3 SmthV in
Printf.printf "%b %b %b" (mem_get mem id1 == BotV)
(mem_get mem id2 == ZeroV)
(mem_get mem id3 == SmthV);
[%expect {| 0 1 2 true true true true true true |}]
(* - basic var tests *)
let%expect_test "empty" =
prog_eval_noret ([], SkipS);
@ -379,6 +449,49 @@ struct
with Eval_error msg -> Printf.printf "%s" msg;
[%expect {| read |}]
let%expect_test "simple vars, no read & read" =
prog_eval_noret ([VarD (UnitT (NRd, MayWr), UnitE);
VarD (UnitT (Rd, MayWr), UnitE)],
ReadS (VarP (globals_min_id + 1)));
Printf.printf "done!";
[%expect {| done! |}]
let%expect_test "simple var, write" =
prog_eval_noret ([VarD (UnitT (NRd, MayWr), UnitE)], WriteS (VarP globals_min_id));
Printf.printf "done!";
[%expect {| done! |}]
let%expect_test "simple var, no write" =
try(prog_eval_noret ([VarD (UnitT (NRd, NeverWr), UnitE)], WriteS (VarP globals_min_id));
[%expect.unreachable]);
with Eval_error msg -> Printf.printf "%s" msg;
[%expect {| write: write tag |}]
let%expect_test "simple var, write & read" =
prog_eval_noret ([VarD (UnitT (NRd, MayWr), UnitE)], SeqS (WriteS (VarP globals_min_id),
ReadS (VarP globals_min_id)));
Printf.printf "done!";
[%expect {| done! |}]
(* - basic call tests *)
let%expect_test "simple call with read" =
prog_eval_noret ([VarD (UnitT (Rd, NeverWr), UnitE);
FunD ([(In, NOut), UnitT (Rd, NeverWr)], ReadS (VarP 0))],
CallS (VarP (globals_min_id + 1),
[PathE (VarP globals_min_id)]));
Printf.printf "done!";
[%expect {| done! |}]
let%expect_test "simple call with write" =
prog_eval_noret ([VarD ((UnitT (Rd, MayWr)), UnitE);
VarD (RefT (Rf, (UnitT (Rd, MayWr))), RefE globals_min_id);
FunD ([(In, NOut), RefT (Cp, UnitT (Rd, MayWr))], WriteS (DerefP (VarP 0)))],
CallS (VarP (globals_min_id + 2),
[PathE (VarP (globals_min_id + 1))]));
Printf.printf "done!";
[%expect {| done! |}]
(* --- FIXME --- CURRENT REWRITE POINT --- FIXME --- *)
(* --- tests --- *)

View file

@ -112,8 +112,9 @@
{
Or[$()$][value of simple type] // `Unit`
Or[$path$][value from variable] // `Path`
// TODO: decide what is the result of ref expr eval
// Or[$rf expr$][reference expr] // `Ref`
// TODO FIXME: expand to support arbitrary paths (that do lead to lvalue)
// add relation to calc lvalue / rvalue for each element ?
Or[$rf X$][reference expr] // `Ref`
Or[$[expr+]$][tuple expr] // `Prod`
}
),
@ -652,7 +653,7 @@ $s in stmt, f in X, x in X, a in X$
#align(center, prooftree(
vertical-spacing: 4pt,
rule(
name: [ unit value type],
name: [ unit expr value],
$vals, mu texpre () eqmu 0$,
)
@ -661,32 +662,26 @@ $s in stmt, f in X, x in X, a in X$
#align(center, prooftree(
vertical-spacing: 4pt,
rule(
name: [ path type],
name: [ path expr value],
$vals, mu tval p eqmu v$,
$vals, mu texpre p eqmu v$,
)
))
// NOTE: tmp removed
// #align(center, prooftree(
// vertical-spacing: 4pt,
// rule(
// name: [ unit value type],
#align(center, prooftree(
vertical-spacing: 4pt,
rule(
name: [ ref expr value],
// $vals, mu texpre e : t$,
// [*TODO*],
// // TODO: reference to what ??
// $vals, mu texpre rf e eqmu rf ??$,
// )
// ))
$vals, mu texpre rf x eqmu rf vals[x]$,
)
))
#align(center, prooftree(
vertical-spacing: 4pt,
rule(
name: [ unit value type],
name: [ tuple expr value],
$vals, mu texpre e_1 eqmu v_1$,
$...$,
@ -704,7 +699,7 @@ $s in stmt, f in X, x in X, a in X$
#align(center, prooftree(
vertical-spacing: 4pt,
rule(
name: [ unit value type],
name: [ unit value expr type],
$types texprt () : cl Read, NotWrite cr$,
)
@ -713,29 +708,26 @@ $s in stmt, f in X, x in X, a in X$
#align(center, prooftree(
vertical-spacing: 4pt,
rule(
name: [ path type],
name: [ path expr type],
$types ttype p : t$,
$types texprt p : t$,
)
))
// NOTE: tmp removed
// #align(center, prooftree(
// vertical-spacing: 4pt,
// rule(
// name: [ unit value type],
#align(center, prooftree(
vertical-spacing: 4pt,
rule(
name: [ ref expr type],
// $types texprt e : t$,
// // TODO: why Ref mode ?? <- due to immutability ??
// $types texprt rf e : rf Ref t$,
// )
// ))
$types texprt rf x : rf Ref types[x]$,
)
))
#align(center, prooftree(
vertical-spacing: 4pt,
rule(
name: [ unit value type],
name: [ tuple expr type],
$types texprt e_1 : t_1$,
$...$,
@ -928,7 +920,21 @@ $s in stmt, f in X, x in X, a in X$
rule(
name: [ full spoil for tuple expr],
$e = [e_1, ... e_n]$,
// NOTE: x as path
$mu stretch(=>)^(m space t space x)_(cl vals, types cr) mu'$,
// TODO: FIXME: is c important ?
$mu stretch(=>)^(m space rf c t space rf x_(cl vals, types cr) mu'$,
)
))
#h(10pt)
#align(center, prooftree(
vertical-spacing: 4pt,
rule(
name: [ full spoil for tuple expr],
$mu_0 stretch(=>)^(m space t_1 space e_1)_(cl vals, types cr) mu_1$,
$...$,
$mu_(n - 1) stretch(=>)^(m space t_n space e_n)_(cl vals, types cr) mu_n$,