Theory ML_Fun_Cache
theory ML_Fun_Cache
imports Pure
begin
text ‹Extension of the basic cache in @{ML_structure "Cache"}:
▪ Include some statistics on cache hits / misses
▪ Retrieval of existing caches
▪ Support garbage collected caches (via weak references)
›
text ‹Combination of synchronized variables and weak references.
Stored value might get garbage collected.
Note the difference in the signature (option value at some positions) compared to
@{ML_structure Synchronized}.
›
ML ‹
signature SYNCHRONIZED_WEAK =
sig
type 'a var
val var: string -> 'a -> 'a var
val value: 'a var -> 'a option
val assign: 'a var -> 'a -> unit
val timed_access: 'a var -> ('a option -> Time.time option) -> ('a option -> ('b * 'a) option) -> 'b option
val guarded_access: 'a var -> ('a option -> ('b * 'a) option) -> 'b
val change_result: 'a var -> ('a option -> 'b * 'a) -> 'b
val change: 'a var -> ('a option -> 'a) -> unit
end;
structure Synchronized_Weak: SYNCHRONIZED_WEAK =
struct
abstype 'a var = Weak_Var of ('a Unsynchronized.ref option Unsynchronized.ref) Synchronized.var
with
fun mk_weak x = Weak.weak (SOME (Unsynchronized.ref x))
fun get_val w = case !w of
SOME r => SOME (!r)
| NONE => NONE
fun map_val f w = f (get_val w)
fun var name x =
Weak_Var (Synchronized.var name (mk_weak x))
fun value (Weak_Var x) =
get_val (Synchronized.value x)
fun assign (Weak_Var x) v = Synchronized.assign x (mk_weak v)
fun apply_access f w =
case f (get_val w) of
SOME (res, x) => SOME (res, mk_weak x)
| NONE => NONE
fun timed_access (Weak_Var x) time_limit f =
Synchronized.timed_access x (map_val time_limit) (apply_access f)
fun guarded_access var f = the (timed_access var (fn _ => NONE) f);
fun change_result var f = guarded_access var (SOME o f);
fun change var f = change_result var (fn x => ((), f x));
end
end
›
ML ‹
signature MORE_BINDING = sig
val here_pretty: binding -> Pretty.T
val here: binding -> string
end
structure More_Binding: MORE_BINDING = struct
fun here_pretty b =
let
val pos = Binding.pos_of b
val prt0 = Pretty.mark_str_position (pos, Binding.long_name_of b)
in
(case Pretty.here pos of
[] => prt0
| prts => Pretty.block0 (prt0 :: prts))
end
val here = Pretty.unformatted_string_of o here_pretty
end
signature FUN_CACHE =
sig
val create: binding -> ('table -> string) -> 'table -> ('table -> 'key -> 'value lazy option) ->
('key * 'value lazy -> 'table -> 'table) -> ('key -> 'value) -> 'key -> 'value
val create_gc: binding -> ('table -> string) -> 'table -> ('table -> 'key -> 'value lazy option) ->
('key * 'value lazy -> 'table -> 'table) -> ('key -> 'value) -> 'key -> 'value
datatype 'content handler = Handler of {name: binding, hits: unit -> int, misses: unit -> int,
reset: unit -> unit, content: unit -> 'content, mk_string: 'content -> string}
val create_handler: binding -> ('table -> string) -> 'table -> ('table -> 'key -> 'value lazy option) ->
('key * 'value lazy -> 'table -> 'table) -> ('key -> 'value) -> (('key -> 'value) * 'table handler)
val create_gc_handler: binding -> ('table -> string) -> 'table -> ('table -> 'key -> 'value lazy option) ->
('key * 'value lazy -> 'table -> 'table) -> ('key -> 'value) -> (('key -> 'value) * 'table handler)
val get_handler: string -> string handler option
val delete_handler: string -> unit
val all_handlers: unit -> (string * string handler) list
val cache_statistics: unit -> (binding * {hits: int, misses: int, content_size: int}) list
val reset_cache: string -> unit
val reset_all_caches: unit -> unit
val get_info: 'content handler -> {name: binding, hits: int, misses: int, content: 'content, mk_string: 'content -> string}
val dummy_handler : 'content -> 'content handler;
val pretty_handler: 'content handler -> Pretty.T
val string_of_handler: 'content handler -> string
end;
structure Fun_Cache: FUN_CACHE =
struct
datatype 'content handler = Handler of {name: binding, hits: unit -> int, misses: unit -> int,
reset: unit -> unit, content: unit -> 'content, mk_string: 'content -> string};
fun dummy_handler c = Handler {name = Binding.name "", hits = K 0, misses = K 0, reset = K (), content = K c, mk_string = K "()"};
val caches = Synchronized.var "caches" (Symtab.empty)
fun add_handler name handler = Synchronized.change caches (fn tab =>
let
val raw_name = Binding.name_of name
val _ = if Symtab.defined tab raw_name then tracing ("overwriting cache: " ^ More_Binding.here name) else ()
in Symtab.update (raw_name, handler) tab end)
fun cached_apply name lookup update f x (tab, hits, misses) =
case lookup tab x of
SOME y => (y, (tab, hits + 1, misses))
| NONE =>
let val y = Lazy.lazy_name name (fn () => f x)
in (y, (update (x, y) tab, hits, misses + 1)) end
fun gen_apply cached_apply change_result cache =
change_result cache cached_apply
|> Lazy.force;
fun create_handler name mk_string empty lookup update f =
let
val raw_name = Binding.name_of name
val empty_cache = (empty, 0, 0)
val cache = Synchronized.var raw_name empty_cache;
fun apply x = gen_apply (cached_apply raw_name lookup update f x) Synchronized.change_result cache
fun hits () = #2 (Synchronized.value cache)
fun misses () = #3 (Synchronized.value cache)
fun content () = #1 (Synchronized.value cache)
fun string () = mk_string (#1 (Synchronized.value cache))
fun reset () = Synchronized.change cache (K empty_cache)
val handler = Handler {name = name, hits = hits, misses = misses, reset = reset, content = content, mk_string = mk_string}
val handler' = Handler {name = name, hits = hits, misses = misses, reset = reset, content = string, mk_string = I}
val _ = add_handler name handler'
in (apply, handler) end;
fun create name mk_string empty lookup update f = fst (create_handler name mk_string empty lookup update f)
fun map_default_trace msg default f v =
case v of SOME x => f x | NONE => (tracing msg; f default)
fun the_default_trace msg default v =
case v of
SOME x => x
| NONE => (tracing msg; default)
fun create_gc_handler name mk_string empty lookup update f =
let
val raw_name = Binding.name_of name
val empty_cache = (empty, 0, 0)
val cache = Synchronized_Weak.var raw_name empty_cache;
val the_default = the_default_trace ("cache: " ^ More_Binding.here name ^ " was garbage collected")
val map_default = map_default_trace ("cache: " ^ More_Binding.here name ^ " was garbage collected - starting with empty cache again.")
fun apply x = gen_apply (map_default empty_cache (cached_apply raw_name lookup update f x)) Synchronized_Weak.change_result cache
fun get cache = the_default empty_cache (Synchronized_Weak.value cache)
fun hits () = #2 (get cache)
fun misses () = #3 (get cache)
fun content () = #1 (get cache)
fun string () = mk_string (#1 (get cache))
fun reset () = Synchronized_Weak.change cache (K empty_cache)
val handler = Handler {name = name, hits = hits, misses = misses, reset = reset, content = content, mk_string = mk_string}
val handler' = Handler {name = name, hits = hits, misses = misses, reset = reset, content = string, mk_string = I}
val _ = add_handler name handler'
in (apply, handler) end;
fun create_gc name mk_string empty lookup update f = fst (create_gc_handler name mk_string empty lookup update f)
fun get_handler name =
Symtab.lookup (Synchronized.value caches) name
fun delete_handler name = Synchronized.change caches (Symtab.delete name)
fun all_handlers () =
Symtab.dest (Synchronized.value caches)
fun cache_statistics () = all_handlers () |>
map (fn (_, Handler h) =>
(#name h, {hits = #hits h (), misses = #misses h (), content_size = ML_Heap.obj_size (#content h ())}))
fun reset_cache name =
case get_handler name of
SOME (Handler h) => #reset h ()
| NONE => warning ("reset_handler: no handler with name " ^ name)
fun reset_all_caches () =
all_handlers () |> map (apsnd (fn Handler h => #reset h ())) |> K ()
fun get_info (Handler handler:'content handler) =
{name = #name handler, hits = (#hits handler) (), misses = (#misses handler) (), content = (#content handler) (), mk_string = #mk_string handler}
fun pretty_elem name value = Pretty.block (Pretty.breaks [Pretty.str name, Pretty.str "=", Pretty.str value])
fun pretty_info {name, content, hits, misses, mk_string, ...} =
Pretty.list "{" "}" (
[pretty_elem "name" (More_Binding.here name),
pretty_elem "hits" (string_of_int hits),
pretty_elem "misses" (string_of_int misses),
pretty_elem "content" (mk_string content)])
fun pretty_handler x = (pretty_info o get_info) x
fun string_of_info x = (Pretty.string_of o pretty_info) x
fun string_of_handler x = (string_of_info o get_info) x
val _ =
ML_system_pp (fn depth => fn pretty => fn handler =>
Pretty.to_ML (pretty_handler handler));
end;
›
subsection ‹Example›
text ‹Cache without garbage collection›
ML_val ‹
fun fib n =
if n < 3 then 1
else fib (n-1) + fib (n-2)
val (fib, handler) = Fun_Cache.create_handler
@{binding "fib"}
(fn n => @{make_string} n)
Inttab.empty
Inttab.lookup
Inttab.update
fib
val _ = tracing ("trace 1: " ^ Fun_Cache.string_of_handler handler)
val tests1 = map fib (1 upto 6)
val _ = (tracing "enforcing garbage collection"; ML_Heap.full_gc());
val _ = tracing ("trace 2: " ^ Fun_Cache.string_of_handler handler)
val tests2 = map fib (1 upto 6)
val _ = tracing ("trace 3: " ^ Fun_Cache.string_of_handler handler)
›
text ‹Cache with garbage collection›
ML_val ‹
fun fib n =
if n < 3 then 1
else fib (n-1) + fib (n-2)
val (fib, handler) = Fun_Cache.create_gc_handler
@{binding "fib"}
(fn n => @{make_string} n)
Inttab.empty
Inttab.lookup
Inttab.update
fib
val _ = tracing ("trace 1: " ^ Fun_Cache.string_of_handler handler)
val tests1 = map fib (1 upto 6)
val _ = tracing ("trace 2: " ^ Fun_Cache.string_of_handler handler)
val _ = (tracing "enforcing garbage collection"; ML_Heap.full_gc());
val _ = tracing ("trace 3: " ^ Fun_Cache.string_of_handler handler)
val tests2 = map fib (1 upto 6)
val _ = tracing ("trace 4: " ^ Fun_Cache.string_of_handler handler)
val tests3 = map fib (1 upto 6)
val _ = tracing ("trace 5: " ^ Fun_Cache.string_of_handler handler)
›
end