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(* Title: HOL/Tools/Nitpick/nitpick_scope.ML
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Author: Jasmin Blanchette, TU Muenchen
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Copyright 2008, 2009, 2010
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Scope enumerator for Nitpick.
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*)
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signature NITPICK_SCOPE =
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sig
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type styp = Nitpick_Util.styp
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type hol_context = Nitpick_HOL.hol_context
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type constr_spec = {
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const: styp,
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delta: int,
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epsilon: int,
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exclusive: bool,
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explicit_max: int,
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total: bool}
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type dtype_spec = {
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typ: typ,
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card: int,
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co: bool,
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standard: bool,
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complete: bool,
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concrete: bool,
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deep: bool,
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constrs: constr_spec list}
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type scope = {
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hol_ctxt: hol_context,
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binarize: bool,
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card_assigns: (typ * int) list,
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bits: int,
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bisim_depth: int,
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datatypes: dtype_spec list,
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ofs: int Typtab.table}
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val datatype_spec : dtype_spec list -> typ -> dtype_spec option
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val constr_spec : dtype_spec list -> styp -> constr_spec
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val is_complete_type : dtype_spec list -> typ -> bool
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val is_concrete_type : dtype_spec list -> typ -> bool
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val is_exact_type : dtype_spec list -> typ -> bool
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val offset_of_type : int Typtab.table -> typ -> int
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val spec_of_type : scope -> typ -> int * int
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val pretties_for_scope : scope -> bool -> Pretty.T list
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val multiline_string_for_scope : scope -> string
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val scopes_equivalent : scope -> scope -> bool
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val scope_less_eq : scope -> scope -> bool
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val all_scopes :
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hol_context -> bool -> int -> (typ option * int list) list
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-> (styp option * int list) list -> (styp option * int list) list
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-> int list -> int list -> typ list -> typ list -> typ list
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-> int * scope list
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end;
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structure Nitpick_Scope : NITPICK_SCOPE =
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struct
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open Nitpick_Util
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open Nitpick_HOL
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type constr_spec = {
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const: styp,
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delta: int,
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epsilon: int,
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exclusive: bool,
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explicit_max: int,
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total: bool}
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type dtype_spec = {
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typ: typ,
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card: int,
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co: bool,
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standard: bool,
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complete: bool,
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concrete: bool,
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deep: bool,
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constrs: constr_spec list}
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type scope = {
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hol_ctxt: hol_context,
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binarize: bool,
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card_assigns: (typ * int) list,
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bits: int,
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bisim_depth: int,
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datatypes: dtype_spec list,
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ofs: int Typtab.table}
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datatype row_kind = Card of typ | Max of styp
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type row = row_kind * int list
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type block = row list
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(* dtype_spec list -> typ -> dtype_spec option *)
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fun datatype_spec (dtypes : dtype_spec list) T =
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List.find (curry (op =) T o #typ) dtypes
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(* dtype_spec list -> styp -> constr_spec *)
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fun constr_spec [] x = raise TERM ("Nitpick_Scope.constr_spec", [Const x])
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| constr_spec ({constrs, ...} :: dtypes : dtype_spec list) (x as (s, T)) =
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case List.find (curry (op =) (s, body_type T) o (apsnd body_type o #const))
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constrs of
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SOME c => c
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| NONE => constr_spec dtypes x
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(* dtype_spec list -> typ -> bool *)
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fun is_complete_type dtypes (Type ("fun", [T1, T2])) =
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is_concrete_type dtypes T1 andalso is_complete_type dtypes T2
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| is_complete_type dtypes (Type ("*", Ts)) =
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forall (is_complete_type dtypes) Ts
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| is_complete_type dtypes T =
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not (is_integer_type T) andalso not (is_bit_type T) andalso
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#complete (the (datatype_spec dtypes T))
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handle Option.Option => true
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and is_concrete_type dtypes (Type ("fun", [T1, T2])) =
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is_complete_type dtypes T1 andalso is_concrete_type dtypes T2
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| is_concrete_type dtypes (Type ("*", Ts)) =
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forall (is_concrete_type dtypes) Ts
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| is_concrete_type dtypes T =
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#concrete (the (datatype_spec dtypes T)) handle Option.Option => true
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fun is_exact_type dtypes = is_complete_type dtypes andf is_concrete_type dtypes
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(* int Typtab.table -> typ -> int *)
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fun offset_of_type ofs T =
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case Typtab.lookup ofs T of
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SOME j0 => j0
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| NONE => Typtab.lookup ofs dummyT |> the_default 0
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(* scope -> typ -> int * int *)
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fun spec_of_type ({card_assigns, ofs, ...} : scope) T =
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(card_of_type card_assigns T
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handle TYPE ("Nitpick_HOL.card_of_type", _, _) => ~1, offset_of_type ofs T)
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(* (string -> string) -> scope
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-> string list * string list * string list * string list * string list *)
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fun quintuple_for_scope quote ({hol_ctxt as {thy, ctxt, ...}, card_assigns,
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bits, bisim_depth, datatypes, ...} : scope) =
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let
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val boring_Ts = [@{typ unsigned_bit}, @{typ signed_bit},
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@{typ bisim_iterator}]
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val (iter_assigns, card_assigns) =
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card_assigns |> filter_out (member (op =) boring_Ts o fst)
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|> List.partition (is_fp_iterator_type o fst)
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val (secondary_card_assigns, primary_card_assigns) =
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card_assigns |> List.partition ((is_integer_type orf is_datatype thy)
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o fst)
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val cards =
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map (fn (T, k) => quote (string_for_type ctxt T) ^ " = " ^
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string_of_int k)
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fun maxes () =
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maps (map_filter
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(fn {const, explicit_max, ...} =>
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if explicit_max < 0 then
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NONE
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else
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SOME (Syntax.string_of_term ctxt (Const const) ^ " = " ^
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string_of_int explicit_max))
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o #constrs) datatypes
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fun iters () =
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map (fn (T, k) =>
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quote (Syntax.string_of_term ctxt
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(Const (const_for_iterator_type T))) ^ " = " ^
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string_of_int (k - 1)) iter_assigns
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fun miscs () =
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(if bits = 0 then [] else ["bits = " ^ string_of_int bits]) @
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(if bisim_depth < 0 andalso forall (not o #co) datatypes then []
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else ["bisim_depth = " ^ signed_string_of_int bisim_depth])
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in
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setmp_show_all_types
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(fn () => (cards primary_card_assigns, cards secondary_card_assigns,
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maxes (), iters (), miscs ())) ()
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end
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(* scope -> bool -> Pretty.T list *)
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fun pretties_for_scope scope verbose =
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let
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val (primary_cards, secondary_cards, maxes, iters, bisim_depths) =
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quintuple_for_scope maybe_quote scope
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val ss = map (prefix "card ") primary_cards @
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(if verbose then
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map (prefix "card ") secondary_cards @
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map (prefix "max ") maxes @
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map (prefix "iter ") iters @
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bisim_depths
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else
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[])
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in
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if null ss then []
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else serial_commas "and" ss |> map Pretty.str |> Pretty.breaks
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end
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(* scope -> string *)
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fun multiline_string_for_scope scope =
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let
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val (primary_cards, secondary_cards, maxes, iters, bisim_depths) =
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quintuple_for_scope I scope
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val cards = primary_cards @ secondary_cards
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in
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case (if null cards then [] else ["card: " ^ commas cards]) @
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(if null maxes then [] else ["max: " ^ commas maxes]) @
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(if null iters then [] else ["iter: " ^ commas iters]) @
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bisim_depths of
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[] => "empty"
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| lines => space_implode "\n" lines
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end
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(* scope -> scope -> bool *)
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fun scopes_equivalent (s1 : scope) (s2 : scope) =
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#datatypes s1 = #datatypes s2 andalso #card_assigns s1 = #card_assigns s2
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fun scope_less_eq (s1 : scope) (s2 : scope) =
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(s1, s2) |> pairself (map snd o #card_assigns) |> op ~~ |> forall (op <=)
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(* row -> int *)
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fun rank_of_row (_, ks) = length ks
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(* block -> int *)
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fun rank_of_block block = fold Integer.max (map rank_of_row block) 1
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(* int -> typ * int list -> typ * int list *)
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fun project_row column (y, ks) = (y, [nth ks (Int.min (column, length ks - 1))])
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(* int -> block -> block *)
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fun project_block (column, block) = map (project_row column) block
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(* (''a * ''a -> bool) -> (''a option * int list) list -> ''a -> int list *)
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fun lookup_ints_assign eq assigns key =
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case triple_lookup eq assigns key of
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SOME ks => ks
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| NONE => raise ARG ("Nitpick_Scope.lookup_ints_assign", "")
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(* theory -> (typ option * int list) list -> typ -> int list *)
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fun lookup_type_ints_assign thy assigns T =
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map (curry Int.max 1) (lookup_ints_assign (type_match thy) assigns T)
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handle ARG ("Nitpick_Scope.lookup_ints_assign", _) =>
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raise TYPE ("Nitpick_Scope.lookup_type_ints_assign", [T], [])
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(* theory -> (styp option * int list) list -> styp -> int list *)
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fun lookup_const_ints_assign thy assigns x =
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lookup_ints_assign (const_match thy) assigns x
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handle ARG ("Nitpick_Scope.lookup_ints_assign", _) =>
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raise TERM ("Nitpick_Scope.lookup_const_ints_assign", [Const x])
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(* theory -> (styp option * int list) list -> styp -> row option *)
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fun row_for_constr thy maxes_assigns constr =
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SOME (Max constr, lookup_const_ints_assign thy maxes_assigns constr)
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handle TERM ("lookup_const_ints_assign", _) => NONE
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val max_bits = 31 (* Kodkod limit *)
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(* hol_context -> bool -> (typ option * int list) list
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-> (styp option * int list) list -> (styp option * int list) list -> int list
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-> int list -> typ -> block *)
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fun block_for_type (hol_ctxt as {thy, ...}) binarize cards_assigns maxes_assigns
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iters_assigns bitss bisim_depths T =
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if T = @{typ unsigned_bit} then
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[(Card T, map (Integer.min max_bits o Integer.max 1) bitss)]
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else if T = @{typ signed_bit} then
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[(Card T, map (Integer.add 1 o Integer.min max_bits o Integer.max 1) bitss)]
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else if T = @{typ "unsigned_bit word"} then
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[(Card T, lookup_type_ints_assign thy cards_assigns nat_T)]
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else if T = @{typ "signed_bit word"} then
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[(Card T, lookup_type_ints_assign thy cards_assigns int_T)]
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else if T = @{typ bisim_iterator} then
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[(Card T, map (Integer.add 1 o Integer.max 0) bisim_depths)]
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else if is_fp_iterator_type T then
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[(Card T, map (Integer.add 1 o Integer.max 0)
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(lookup_const_ints_assign thy iters_assigns
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(const_for_iterator_type T)))]
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else
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(Card T, lookup_type_ints_assign thy cards_assigns T) ::
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(case binarized_and_boxed_datatype_constrs hol_ctxt binarize T of
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blanchet@33571
|
269 |
[_] => []
|
blanchet@34120
|
270 |
| constrs => map_filter (row_for_constr thy maxes_assigns) constrs)
|
blanchet@33192
|
271 |
|
blanchet@35190
|
272 |
(* hol_context -> bool -> (typ option * int list) list
|
blanchet@35190
|
273 |
-> (styp option * int list) list -> (styp option * int list) list -> int list
|
blanchet@35190
|
274 |
-> int list -> typ list -> typ list -> block list *)
|
blanchet@35190
|
275 |
fun blocks_for_types hol_ctxt binarize cards_assigns maxes_assigns iters_assigns
|
blanchet@35190
|
276 |
bitss bisim_depths mono_Ts nonmono_Ts =
|
blanchet@33192
|
277 |
let
|
blanchet@33192
|
278 |
(* typ -> block *)
|
blanchet@35190
|
279 |
val block_for = block_for_type hol_ctxt binarize cards_assigns maxes_assigns
|
blanchet@34121
|
280 |
iters_assigns bitss bisim_depths
|
blanchet@33192
|
281 |
val mono_block = maps block_for mono_Ts
|
blanchet@33192
|
282 |
val nonmono_blocks = map block_for nonmono_Ts
|
blanchet@33192
|
283 |
in mono_block :: nonmono_blocks end
|
blanchet@33192
|
284 |
|
blanchet@33192
|
285 |
val sync_threshold = 5
|
blanchet@33192
|
286 |
|
blanchet@33192
|
287 |
(* int list -> int list list *)
|
blanchet@33192
|
288 |
fun all_combinations_ordered_smartly ks =
|
blanchet@33192
|
289 |
let
|
blanchet@33192
|
290 |
(* int list -> int *)
|
blanchet@33192
|
291 |
fun cost_with_monos [] = 0
|
blanchet@33192
|
292 |
| cost_with_monos (k :: ks) =
|
blanchet@34118
|
293 |
if k < sync_threshold andalso forall (curry (op =) k) ks then
|
blanchet@33192
|
294 |
k - sync_threshold
|
blanchet@33192
|
295 |
else
|
blanchet@33192
|
296 |
k * (k + 1) div 2 + Integer.sum ks
|
blanchet@33192
|
297 |
fun cost_without_monos [] = 0
|
blanchet@33192
|
298 |
| cost_without_monos [k] = k
|
blanchet@33192
|
299 |
| cost_without_monos (_ :: k :: ks) =
|
blanchet@34118
|
300 |
if k < sync_threshold andalso forall (curry (op =) k) ks then
|
blanchet@33192
|
301 |
k - sync_threshold
|
blanchet@33192
|
302 |
else
|
blanchet@33192
|
303 |
Integer.sum (k :: ks)
|
blanchet@33192
|
304 |
in
|
blanchet@33192
|
305 |
ks |> all_combinations
|
blanchet@33192
|
306 |
|> map (`(if fst (hd ks) > 1 then cost_with_monos
|
blanchet@33192
|
307 |
else cost_without_monos))
|
blanchet@33192
|
308 |
|> sort (int_ord o pairself fst) |> map snd
|
blanchet@33192
|
309 |
end
|
blanchet@33192
|
310 |
|
blanchet@33192
|
311 |
(* typ -> bool *)
|
blanchet@33192
|
312 |
fun is_self_recursive_constr_type T =
|
blanchet@34118
|
313 |
exists (exists_subtype (curry (op =) (body_type T))) (binder_types T)
|
blanchet@33192
|
314 |
|
blanchet@33192
|
315 |
(* (styp * int) list -> styp -> int *)
|
blanchet@33192
|
316 |
fun constr_max maxes x = the_default ~1 (AList.lookup (op =) maxes x)
|
blanchet@33192
|
317 |
|
blanchet@33192
|
318 |
type scope_desc = (typ * int) list * (styp * int) list
|
blanchet@33192
|
319 |
|
blanchet@35190
|
320 |
(* hol_context -> bool -> scope_desc -> typ * int -> bool *)
|
blanchet@35190
|
321 |
fun is_surely_inconsistent_card_assign hol_ctxt binarize
|
blanchet@35190
|
322 |
(card_assigns, max_assigns) (T, k) =
|
blanchet@35190
|
323 |
case binarized_and_boxed_datatype_constrs hol_ctxt binarize T of
|
blanchet@33192
|
324 |
[] => false
|
blanchet@33192
|
325 |
| xs =>
|
blanchet@33192
|
326 |
let
|
blanchet@34123
|
327 |
val dom_cards =
|
blanchet@34123
|
328 |
map (Integer.prod o map (bounded_card_of_type k ~1 card_assigns)
|
blanchet@33192
|
329 |
o binder_types o snd) xs
|
blanchet@34120
|
330 |
val maxes = map (constr_max max_assigns) xs
|
blanchet@33192
|
331 |
(* int -> int -> int *)
|
blanchet@34123
|
332 |
fun effective_max card ~1 = card
|
blanchet@33192
|
333 |
| effective_max card max = Int.min (card, max)
|
blanchet@34123
|
334 |
val max = map2 effective_max dom_cards maxes |> Integer.sum
|
blanchet@34123
|
335 |
in max < k end
|
blanchet@35190
|
336 |
(* hol_context -> bool -> (typ * int) list -> (typ * int) list
|
blanchet@35190
|
337 |
-> (styp * int) list -> bool *)
|
blanchet@35190
|
338 |
fun is_surely_inconsistent_scope_description hol_ctxt binarize seen rest
|
blanchet@35190
|
339 |
max_assigns =
|
blanchet@35190
|
340 |
exists (is_surely_inconsistent_card_assign hol_ctxt binarize
|
blanchet@34123
|
341 |
(seen @ rest, max_assigns)) seen
|
blanchet@33192
|
342 |
|
blanchet@35190
|
343 |
(* hol_context -> bool -> scope_desc -> (typ * int) list option *)
|
blanchet@35190
|
344 |
fun repair_card_assigns hol_ctxt binarize (card_assigns, max_assigns) =
|
blanchet@33192
|
345 |
let
|
blanchet@33192
|
346 |
(* (typ * int) list -> (typ * int) list -> (typ * int) list option *)
|
blanchet@33192
|
347 |
fun aux seen [] = SOME seen
|
blanchet@33192
|
348 |
| aux seen ((T, 0) :: _) = NONE
|
blanchet@34123
|
349 |
| aux seen ((T, k) :: rest) =
|
blanchet@35190
|
350 |
(if is_surely_inconsistent_scope_description hol_ctxt binarize
|
blanchet@35190
|
351 |
((T, k) :: seen) rest max_assigns then
|
blanchet@33192
|
352 |
raise SAME ()
|
blanchet@33192
|
353 |
else
|
blanchet@34123
|
354 |
case aux ((T, k) :: seen) rest of
|
blanchet@34120
|
355 |
SOME assigns => SOME assigns
|
blanchet@33192
|
356 |
| NONE => raise SAME ())
|
blanchet@34123
|
357 |
handle SAME () => aux seen ((T, k - 1) :: rest)
|
blanchet@34120
|
358 |
in aux [] (rev card_assigns) end
|
blanchet@33192
|
359 |
|
blanchet@33192
|
360 |
(* theory -> (typ * int) list -> typ * int -> typ * int *)
|
blanchet@34120
|
361 |
fun repair_iterator_assign thy assigns (T as Type (s, Ts), k) =
|
blanchet@33192
|
362 |
(T, if T = @{typ bisim_iterator} then
|
blanchet@34120
|
363 |
let
|
blanchet@34120
|
364 |
val co_cards = map snd (filter (is_codatatype thy o fst) assigns)
|
blanchet@34120
|
365 |
in Int.min (k, Integer.sum co_cards) end
|
blanchet@33192
|
366 |
else if is_fp_iterator_type T then
|
blanchet@33192
|
367 |
case Ts of
|
blanchet@33192
|
368 |
[] => 1
|
blanchet@34120
|
369 |
| _ => bounded_card_of_type k ~1 assigns (foldr1 HOLogic.mk_prodT Ts)
|
blanchet@33192
|
370 |
else
|
blanchet@33192
|
371 |
k)
|
blanchet@34120
|
372 |
| repair_iterator_assign _ _ assign = assign
|
blanchet@33192
|
373 |
|
blanchet@33192
|
374 |
(* row -> scope_desc -> scope_desc *)
|
blanchet@34120
|
375 |
fun add_row_to_scope_descriptor (kind, ks) (card_assigns, max_assigns) =
|
blanchet@33192
|
376 |
case kind of
|
blanchet@34120
|
377 |
Card T => ((T, the_single ks) :: card_assigns, max_assigns)
|
blanchet@34120
|
378 |
| Max x => (card_assigns, (x, the_single ks) :: max_assigns)
|
blanchet@33192
|
379 |
(* block -> scope_desc *)
|
blanchet@33192
|
380 |
fun scope_descriptor_from_block block =
|
blanchet@33192
|
381 |
fold_rev add_row_to_scope_descriptor block ([], [])
|
blanchet@35190
|
382 |
(* hol_context -> bool -> block list -> int list -> scope_desc option *)
|
blanchet@35190
|
383 |
fun scope_descriptor_from_combination (hol_ctxt as {thy, ...}) binarize blocks
|
blanchet@35190
|
384 |
columns =
|
blanchet@33192
|
385 |
let
|
blanchet@34120
|
386 |
val (card_assigns, max_assigns) =
|
blanchet@33192
|
387 |
maps project_block (columns ~~ blocks) |> scope_descriptor_from_block
|
blanchet@35190
|
388 |
val card_assigns =
|
blanchet@35190
|
389 |
repair_card_assigns hol_ctxt binarize (card_assigns, max_assigns) |> the
|
blanchet@33192
|
390 |
in
|
blanchet@34120
|
391 |
SOME (map (repair_iterator_assign thy card_assigns) card_assigns,
|
blanchet@34120
|
392 |
max_assigns)
|
blanchet@33192
|
393 |
end
|
blanchet@33192
|
394 |
handle Option.Option => NONE
|
blanchet@33192
|
395 |
|
blanchet@33192
|
396 |
(* theory -> (typ * int) list -> dtype_spec list -> int Typtab.table *)
|
blanchet@34120
|
397 |
fun offset_table_for_card_assigns thy assigns dtypes =
|
blanchet@33192
|
398 |
let
|
blanchet@33192
|
399 |
(* int -> (int * int) list -> (typ * int) list -> int Typtab.table
|
blanchet@33192
|
400 |
-> int Typtab.table *)
|
blanchet@33192
|
401 |
fun aux next _ [] = Typtab.update_new (dummyT, next)
|
blanchet@34120
|
402 |
| aux next reusable ((T, k) :: assigns) =
|
blanchet@34121
|
403 |
if k = 1 orelse is_integer_type T orelse is_bit_type T then
|
blanchet@34120
|
404 |
aux next reusable assigns
|
blanchet@33192
|
405 |
else if length (these (Option.map #constrs (datatype_spec dtypes T)))
|
blanchet@33192
|
406 |
> 1 then
|
blanchet@34120
|
407 |
Typtab.update_new (T, next) #> aux (next + k) reusable assigns
|
blanchet@33192
|
408 |
else
|
blanchet@33192
|
409 |
case AList.lookup (op =) reusable k of
|
blanchet@34120
|
410 |
SOME j0 => Typtab.update_new (T, j0) #> aux next reusable assigns
|
blanchet@33192
|
411 |
| NONE => Typtab.update_new (T, next)
|
blanchet@34120
|
412 |
#> aux (next + k) ((k, next) :: reusable) assigns
|
blanchet@34120
|
413 |
in aux 0 [] assigns Typtab.empty end
|
blanchet@33192
|
414 |
|
blanchet@33192
|
415 |
(* int -> (typ * int) list -> typ -> int *)
|
blanchet@34120
|
416 |
fun domain_card max card_assigns =
|
blanchet@34120
|
417 |
Integer.prod o map (bounded_card_of_type max max card_assigns) o binder_types
|
blanchet@33192
|
418 |
|
blanchet@33192
|
419 |
(* scope_desc -> bool -> int -> (int -> int) -> int -> int -> bool * styp
|
blanchet@33192
|
420 |
-> constr_spec list -> constr_spec list *)
|
blanchet@34120
|
421 |
fun add_constr_spec (card_assigns, max_assigns) co card sum_dom_cards
|
blanchet@34120
|
422 |
num_self_recs num_non_self_recs (self_rec, x as (s, T))
|
blanchet@34120
|
423 |
constrs =
|
blanchet@33192
|
424 |
let
|
blanchet@34120
|
425 |
val max = constr_max max_assigns x
|
blanchet@33192
|
426 |
(* int -> int *)
|
blanchet@33192
|
427 |
fun bound k = Int.min (card, (max >= 0 ? curry Int.min max) k)
|
blanchet@33192
|
428 |
(* unit -> int *)
|
blanchet@33192
|
429 |
fun next_delta () = if null constrs then 0 else #epsilon (hd constrs)
|
blanchet@33192
|
430 |
val {delta, epsilon, exclusive, total} =
|
blanchet@33192
|
431 |
if max = 0 then
|
blanchet@33192
|
432 |
let val delta = next_delta () in
|
blanchet@33192
|
433 |
{delta = delta, epsilon = delta, exclusive = true, total = false}
|
blanchet@33192
|
434 |
end
|
blanchet@33192
|
435 |
else if not co andalso num_self_recs > 0 then
|
blanchet@35069
|
436 |
(if num_self_recs = 1 andalso num_non_self_recs = 1 then
|
blanchet@35069
|
437 |
if self_rec then
|
blanchet@35069
|
438 |
case constrs of
|
blanchet@35069
|
439 |
[{delta = 0, epsilon = 1, exclusive = true, ...}] =>
|
blanchet@35069
|
440 |
{delta = 1, epsilon = card, exclusive = true, total = false}
|
blanchet@35069
|
441 |
| _ => raise SAME ()
|
blanchet@35069
|
442 |
else
|
blanchet@35069
|
443 |
if domain_card 2 card_assigns T = 1 then
|
blanchet@35069
|
444 |
{delta = 0, epsilon = 1, exclusive = true, total = true}
|
blanchet@35069
|
445 |
else
|
blanchet@35069
|
446 |
raise SAME ()
|
blanchet@35069
|
447 |
else
|
blanchet@35069
|
448 |
raise SAME ())
|
blanchet@35069
|
449 |
handle SAME () =>
|
blanchet@35069
|
450 |
{delta = 0, epsilon = card, exclusive = false, total = false}
|
blanchet@33192
|
451 |
else if card = sum_dom_cards (card + 1) then
|
blanchet@33192
|
452 |
let val delta = next_delta () in
|
blanchet@34120
|
453 |
{delta = delta, epsilon = delta + domain_card card card_assigns T,
|
blanchet@33192
|
454 |
exclusive = true, total = true}
|
blanchet@33192
|
455 |
end
|
blanchet@33192
|
456 |
else
|
blanchet@33192
|
457 |
{delta = 0, epsilon = card,
|
blanchet@33192
|
458 |
exclusive = (num_self_recs + num_non_self_recs = 1), total = false}
|
blanchet@33192
|
459 |
in
|
blanchet@33192
|
460 |
{const = x, delta = delta, epsilon = epsilon, exclusive = exclusive,
|
blanchet@33192
|
461 |
explicit_max = max, total = total} :: constrs
|
blanchet@33192
|
462 |
end
|
blanchet@33192
|
463 |
|
blanchet@35067
|
464 |
(* hol_context -> (typ * int) list -> typ -> bool *)
|
blanchet@35067
|
465 |
fun has_exact_card hol_ctxt card_assigns T =
|
blanchet@34120
|
466 |
let val card = card_of_type card_assigns T in
|
blanchet@35067
|
467 |
card = bounded_exact_card_of_type hol_ctxt (card + 1) 0 card_assigns T
|
blanchet@34120
|
468 |
end
|
blanchet@34120
|
469 |
|
blanchet@35190
|
470 |
(* hol_context -> bool -> typ list -> scope_desc -> typ * int -> dtype_spec *)
|
blanchet@35190
|
471 |
fun datatype_spec_from_scope_descriptor (hol_ctxt as {thy, ...}) binarize
|
blanchet@35190
|
472 |
deep_dataTs (desc as (card_assigns, _)) (T, card) =
|
blanchet@33192
|
473 |
let
|
blanchet@34969
|
474 |
val deep = member (op =) deep_dataTs T
|
blanchet@33192
|
475 |
val co = is_codatatype thy T
|
blanchet@35179
|
476 |
val standard = is_standard_datatype hol_ctxt T
|
blanchet@35190
|
477 |
val xs = binarized_and_boxed_datatype_constrs hol_ctxt binarize T
|
blanchet@33192
|
478 |
val self_recs = map (is_self_recursive_constr_type o snd) xs
|
blanchet@33192
|
479 |
val (num_self_recs, num_non_self_recs) =
|
blanchet@34120
|
480 |
List.partition I self_recs |> pairself length
|
blanchet@35067
|
481 |
val complete = has_exact_card hol_ctxt card_assigns T
|
blanchet@34120
|
482 |
val concrete = xs |> maps (binder_types o snd) |> maps binder_types
|
blanchet@35067
|
483 |
|> forall (has_exact_card hol_ctxt card_assigns)
|
blanchet@33192
|
484 |
(* int -> int *)
|
blanchet@33192
|
485 |
fun sum_dom_cards max =
|
blanchet@34120
|
486 |
map (domain_card max card_assigns o snd) xs |> Integer.sum
|
blanchet@33192
|
487 |
val constrs =
|
blanchet@33192
|
488 |
fold_rev (add_constr_spec desc co card sum_dom_cards num_self_recs
|
blanchet@35069
|
489 |
num_non_self_recs)
|
blanchet@35069
|
490 |
(sort (bool_ord o swap o pairself fst) (self_recs ~~ xs)) []
|
blanchet@33549
|
491 |
in
|
blanchet@35179
|
492 |
{typ = T, card = card, co = co, standard = standard, complete = complete,
|
blanchet@35179
|
493 |
concrete = concrete, deep = deep, constrs = constrs}
|
blanchet@33549
|
494 |
end
|
blanchet@33192
|
495 |
|
blanchet@34121
|
496 |
(* int -> int *)
|
blanchet@34121
|
497 |
fun min_bits_for_nat_value n = if n <= 0 then 0 else IntInf.log2 n + 1
|
blanchet@34121
|
498 |
(* scope_desc -> int *)
|
blanchet@34121
|
499 |
fun min_bits_for_max_assigns (_, []) = 0
|
blanchet@34121
|
500 |
| min_bits_for_max_assigns (card_assigns, max_assigns) =
|
blanchet@34121
|
501 |
min_bits_for_nat_value (fold Integer.max
|
blanchet@34121
|
502 |
(map snd card_assigns @ map snd max_assigns) 0)
|
blanchet@34121
|
503 |
|
blanchet@35190
|
504 |
(* hol_context -> bool -> int -> typ list -> scope_desc -> scope *)
|
blanchet@35190
|
505 |
fun scope_from_descriptor (hol_ctxt as {thy, ...}) binarize sym_break
|
blanchet@35190
|
506 |
deep_dataTs (desc as (card_assigns, _)) =
|
blanchet@33192
|
507 |
let
|
blanchet@33549
|
508 |
val datatypes =
|
blanchet@35190
|
509 |
map (datatype_spec_from_scope_descriptor hol_ctxt binarize deep_dataTs
|
blanchet@35190
|
510 |
desc) (filter (is_datatype thy o fst) card_assigns)
|
blanchet@34121
|
511 |
val bits = card_of_type card_assigns @{typ signed_bit} - 1
|
blanchet@34121
|
512 |
handle TYPE ("Nitpick_HOL.card_of_type", _, _) =>
|
blanchet@34121
|
513 |
card_of_type card_assigns @{typ unsigned_bit}
|
blanchet@34121
|
514 |
handle TYPE ("Nitpick_HOL.card_of_type", _, _) => 0
|
blanchet@34120
|
515 |
val bisim_depth = card_of_type card_assigns @{typ bisim_iterator} - 1
|
blanchet@33192
|
516 |
in
|
blanchet@35190
|
517 |
{hol_ctxt = hol_ctxt, binarize = binarize, card_assigns = card_assigns,
|
blanchet@35190
|
518 |
datatypes = datatypes, bits = bits, bisim_depth = bisim_depth,
|
blanchet@33192
|
519 |
ofs = if sym_break <= 0 then Typtab.empty
|
blanchet@34120
|
520 |
else offset_table_for_card_assigns thy card_assigns datatypes}
|
blanchet@33192
|
521 |
end
|
blanchet@33192
|
522 |
|
blanchet@33192
|
523 |
(* theory -> typ list -> (typ option * int list) list
|
blanchet@33192
|
524 |
-> (typ option * int list) list *)
|
blanchet@34121
|
525 |
fun repair_cards_assigns_wrt_boxing _ _ [] = []
|
blanchet@34121
|
526 |
| repair_cards_assigns_wrt_boxing thy Ts ((SOME T, ks) :: cards_assigns) =
|
blanchet@33192
|
527 |
(if is_fun_type T orelse is_pair_type T then
|
blanchet@35190
|
528 |
Ts |> filter (curry (type_match thy o swap) T o unarize_and_unbox_type)
|
blanchet@33192
|
529 |
|> map (rpair ks o SOME)
|
blanchet@33192
|
530 |
else
|
blanchet@34121
|
531 |
[(SOME T, ks)]) @ repair_cards_assigns_wrt_boxing thy Ts cards_assigns
|
blanchet@34121
|
532 |
| repair_cards_assigns_wrt_boxing thy Ts ((NONE, ks) :: cards_assigns) =
|
blanchet@34121
|
533 |
(NONE, ks) :: repair_cards_assigns_wrt_boxing thy Ts cards_assigns
|
blanchet@33192
|
534 |
|
blanchet@33571
|
535 |
val max_scopes = 4096
|
blanchet@33192
|
536 |
val distinct_threshold = 512
|
blanchet@33192
|
537 |
|
blanchet@35190
|
538 |
(* hol_context -> bool -> int -> (typ option * int list) list
|
blanchet@33192
|
539 |
-> (styp option * int list) list -> (styp option * int list) list -> int list
|
blanchet@33571
|
540 |
-> typ list -> typ list -> typ list -> int * scope list *)
|
blanchet@35190
|
541 |
fun all_scopes (hol_ctxt as {thy, ...}) binarize sym_break cards_assigns
|
blanchet@35190
|
542 |
maxes_assigns iters_assigns bitss bisim_depths mono_Ts nonmono_Ts
|
blanchet@35190
|
543 |
deep_dataTs =
|
blanchet@33192
|
544 |
let
|
blanchet@34121
|
545 |
val cards_assigns = repair_cards_assigns_wrt_boxing thy mono_Ts
|
blanchet@34121
|
546 |
cards_assigns
|
blanchet@35190
|
547 |
val blocks = blocks_for_types hol_ctxt binarize cards_assigns maxes_assigns
|
blanchet@34121
|
548 |
iters_assigns bitss bisim_depths mono_Ts
|
blanchet@34121
|
549 |
nonmono_Ts
|
blanchet@33192
|
550 |
val ranks = map rank_of_block blocks
|
blanchet@33571
|
551 |
val all = all_combinations_ordered_smartly (map (rpair 0) ranks)
|
haftmann@33956
|
552 |
val head = take max_scopes all
|
blanchet@35190
|
553 |
val descs =
|
blanchet@35190
|
554 |
map_filter (scope_descriptor_from_combination hol_ctxt binarize blocks)
|
blanchet@35190
|
555 |
head
|
blanchet@33192
|
556 |
in
|
blanchet@33571
|
557 |
(length all - length head,
|
blanchet@33571
|
558 |
descs |> length descs <= distinct_threshold ? distinct (op =)
|
blanchet@35190
|
559 |
|> map (scope_from_descriptor hol_ctxt binarize sym_break
|
blanchet@35190
|
560 |
deep_dataTs))
|
blanchet@33192
|
561 |
end
|
blanchet@33192
|
562 |
|
blanchet@33192
|
563 |
end;
|