(*  Title:      Pure/display.ML

    Author:     Lawrence C Paulson, Cambridge University Computer Laboratory

    Copyright   1993  University of Cambridge

Printing of theorems, goals, results etc.

*)

signature BASIC_DISPLAY =

sig

  val goals_limit: int ref

  val show_hyps: bool ref

  val show_tags: bool ref

  val show_consts: bool ref

end;

signature DISPLAY =

sig

  include BASIC_DISPLAY

  val pretty_flexpair: Pretty.pp -> term * term -> Pretty.T

  val pretty_thm_aux: Pretty.pp -> bool -> bool -> term list -> thm -> Pretty.T

  val pretty_thm: thm -> Pretty.T

  val string_of_thm: thm -> string

  val pretty_thms: thm list -> Pretty.T

  val pretty_thm_sg: theory -> thm -> Pretty.T

  val pretty_thms_sg: theory -> thm list -> Pretty.T

  val print_thm: thm -> unit

  val print_thms: thm list -> unit

  val prth: thm -> thm

  val prthq: thm Seq.seq -> thm Seq.seq

  val prths: thm list -> thm list

  val pretty_ctyp: ctyp -> Pretty.T

  val string_of_ctyp: ctyp -> string

  val print_ctyp: ctyp -> unit

  val pretty_cterm: cterm -> Pretty.T

  val string_of_cterm: cterm -> string

  val print_cterm: cterm -> unit

  val print_syntax: theory -> unit

  val pretty_full_theory: bool -> theory -> Pretty.T list

  val pretty_goals_aux: Pretty.pp -> Markup.T -> bool * bool -> int -> thm -> Pretty.T list

  val pretty_goals: int -> thm -> Pretty.T list

  val print_goals: int -> thm -> unit

end;

structure Display: DISPLAY =

struct

(** print thm **)

val goals_limit = ref 10;       (*max number of goals to print*)

val show_hyps = ref false;      (*false: print meta-hypotheses as dots*)

val show_tags = ref false;      (*false: suppress tags*)

fun pretty_tag (name, arg) = Pretty.strs [name, quote arg];

val pretty_tags = Pretty.list "[" "]" o map pretty_tag;

fun pretty_flexpair pp (t, u) = Pretty.block

  [Pretty.term pp t, Pretty.str " =?=", Pretty.brk 1, Pretty.term pp u];

fun pretty_thm_aux pp quote show_hyps' asms raw_th =

  let

    val th = Thm.strip_shyps raw_th;

    val {hyps, tpairs, prop, ...} = Thm.rep_thm th;

    val xshyps = Thm.extra_shyps th;

    val tags = Thm.get_tags th;

    val q = if quote then Pretty.quote else I;

    val prt_term = q o Pretty.term pp;

    val hyps' = if ! show_hyps then hyps else subtract (op aconv) asms hyps;

(* FIXME

    val ora' = Thm.oracle_of th andalso (! show_hyps orelse not (! quick_and_dirty)); *)

    val ora' = false;

    val hlen = length xshyps + length hyps' + length tpairs;

    val hsymbs =

      if hlen = 0 andalso not ora' then []

      else if ! show_hyps orelse show_hyps' then

        [Pretty.brk 2, Pretty.list "[" "]"

          (map (q o pretty_flexpair pp) tpairs @ map prt_term hyps' @

           map (Pretty.sort pp) xshyps @

            (if ora' then [Pretty.str "!"] else []))]

      else [Pretty.brk 2, Pretty.str ("[" ^ implode (replicate hlen ".") ^

        (if ora' then "!" else "") ^ "]")];

    val tsymbs =

      if null tags orelse not (! show_tags) then []

      else [Pretty.brk 1, pretty_tags tags];

  in Pretty.block (prt_term prop :: (hsymbs @ tsymbs)) end;

fun pretty_thm th =

  pretty_thm_aux (Syntax.pp_global (Thm.theory_of_thm th)) true false [] th;

val string_of_thm = Pretty.string_of o pretty_thm;

fun pretty_thms [th] = pretty_thm th

  | pretty_thms ths = Pretty.block (Pretty.fbreaks (map pretty_thm ths));

val pretty_thm_sg = pretty_thm oo Thm.transfer;

val pretty_thms_sg = pretty_thms oo (map o Thm.transfer);

(* top-level commands for printing theorems *)

val print_thm = Pretty.writeln o pretty_thm;

val print_thms = Pretty.writeln o pretty_thms;

fun prth th = (print_thm th; th);

fun prthq thq = (Seq.print (K print_thm) 100000 thq; thq);

fun prths ths = (prthq (Seq.of_list ths); ths);

(* other printing commands *)

fun pretty_ctyp cT = Syntax.pretty_typ_global (Thm.theory_of_ctyp cT) (Thm.typ_of cT);

fun string_of_ctyp cT = Syntax.string_of_typ_global (Thm.theory_of_ctyp cT) (Thm.typ_of cT);

val print_ctyp = writeln o string_of_ctyp;

fun pretty_cterm ct = Syntax.pretty_term_global (Thm.theory_of_cterm ct) (Thm.term_of ct);

fun string_of_cterm ct = Syntax.string_of_term_global (Thm.theory_of_cterm ct) (Thm.term_of ct);

val print_cterm = writeln o string_of_cterm;

(** print theory **)

val print_syntax = Syntax.print_syntax o Sign.syn_of;

(* pretty_full_theory *)

fun pretty_full_theory verbose thy =

  let

    val ctxt = ProofContext.init thy;

    fun prt_cls c = Syntax.pretty_sort ctxt [c];

    fun prt_sort S = Syntax.pretty_sort ctxt S;

    fun prt_arity t (c, (_, Ss)) = Syntax.pretty_arity ctxt (t, Ss, [c]);

    fun prt_typ ty = Pretty.quote (Syntax.pretty_typ ctxt ty);

    val prt_typ_no_tvars = prt_typ o Logic.unvarifyT;

    fun prt_term t = Pretty.quote (Syntax.pretty_term ctxt t);

    val prt_term_no_vars = prt_term o Logic.unvarify;

    fun prt_const (c, ty) = [Pretty.str c, Pretty.str " ::", Pretty.brk 1, prt_typ_no_tvars ty];

    val prt_const' = Defs.pretty_const (Syntax.pp ctxt);

    fun pretty_classrel (c, []) = prt_cls c

      | pretty_classrel (c, cs) = Pretty.block

          (prt_cls c :: Pretty.str " <" :: Pretty.brk 1 ::

            Pretty.commas (map prt_cls cs));

    fun pretty_default S = Pretty.block

      [Pretty.str "default sort:", Pretty.brk 1, prt_sort S];

    val tfrees = map (fn v => TFree (v, []));

    fun pretty_type syn (t, ((Type.LogicalType n, _), _)) =

          if syn then NONE

          else SOME (prt_typ (Type (t, tfrees (Name.invents Name.context Name.aT n))))

      | pretty_type syn (t, ((Type.Abbreviation (vs, U, syn'), _), _)) =

          if syn <> syn' then NONE

          else SOME (Pretty.block

            [prt_typ (Type (t, tfrees vs)), Pretty.str " =", Pretty.brk 1, prt_typ U])

      | pretty_type syn (t, ((Type.Nonterminal, _), _)) =

          if not syn then NONE

          else SOME (prt_typ (Type (t, [])));

    val pretty_arities = maps (fn (t, ars) => map (prt_arity t) ars);

    fun pretty_abbrev (c, (ty, t)) = Pretty.block

      (prt_const (c, ty) @ [Pretty.str " ==", Pretty.brk 1, prt_term_no_vars t]);

    fun pretty_axm (a, t) = Pretty.block [Pretty.str (a ^ ":"), Pretty.brk 1, prt_term_no_vars t];

    fun pretty_finals reds = Pretty.block

      (Pretty.str "final:" :: Pretty.brk 1 :: Pretty.commas (map (prt_const' o fst) reds));

    fun pretty_reduct (lhs, rhs) = Pretty.block

      ([prt_const' lhs, Pretty.str "  ->", Pretty.brk 2] @

        Pretty.commas (map prt_const' (sort_wrt #1 rhs)));

    fun pretty_restrict (const, name) =

      Pretty.block ([prt_const' const, Pretty.brk 2, Pretty.str ("(from " ^ quote name ^ ")")]);

    val axioms = (Theory.axiom_space thy, Theory.axiom_table thy);

    val defs = Theory.defs_of thy;

    val {restricts, reducts} = Defs.dest defs;

    val {naming, syn = _, tsig, consts} = Sign.rep_sg thy;

    val {constants, constraints} = Consts.dest consts;

    val extern_const = NameSpace.extern (#1 constants);

    val {classes, default, types, ...} = Type.rep_tsig tsig;

    val (class_space, class_algebra) = classes;

    val {classes, arities} = Sorts.rep_algebra class_algebra;

    val clsses = NameSpace.dest_table (class_space, Symtab.make (Graph.dest classes));

    val tdecls = NameSpace.dest_table types;

    val arties = NameSpace.dest_table (Sign.type_space thy, arities);

    fun prune_const c = not verbose andalso

      member (op =) (Consts.the_tags consts c) Markup.property_internal;

    val cnsts = NameSpace.extern_table (#1 constants,

      Symtab.make (filter_out (prune_const o fst) (Symtab.dest (#2 constants))));

    val log_cnsts = map_filter (fn (c, (ty, NONE)) => SOME (c, ty) | _ => NONE) cnsts;

    val abbrevs = map_filter (fn (c, (ty, SOME t)) => SOME (c, (ty, t)) | _ => NONE) cnsts;

    val cnstrs = NameSpace.extern_table constraints;

    val axms = NameSpace.extern_table axioms;

    val (reds0, (reds1, reds2)) = filter_out (prune_const o fst o fst) reducts

      |> map (fn (lhs, rhs) =>

        (apfst extern_const lhs, map (apfst extern_const) (filter_out (prune_const o fst) rhs)))

      |> sort_wrt (#1 o #1)

      |> List.partition (null o #2)

      ||> List.partition (Defs.plain_args o #2 o #1);

    val rests = restricts |> map (apfst (apfst extern_const)) |> sort_wrt (#1 o #1);

  in

    [Pretty.strs ("names:" :: Context.display_names thy)] @

    [Pretty.strs ["name prefix:", NameSpace.path_of naming],

      Pretty.big_list "classes:" (map pretty_classrel clsses),

      pretty_default default,

      Pretty.big_list "syntactic types:" (map_filter (pretty_type true) tdecls),

      Pretty.big_list "logical types:" (map_filter (pretty_type false) tdecls),

      Pretty.big_list "type arities:" (pretty_arities arties),

      Pretty.big_list "logical consts:" (map (Pretty.block o prt_const) log_cnsts),

      Pretty.big_list "abbreviations:" (map pretty_abbrev abbrevs),

      Pretty.big_list "constraints:" (map (Pretty.block o prt_const) cnstrs),

      Pretty.big_list "axioms:" (map pretty_axm axms),

      Pretty.strs ("oracles:" :: Thm.extern_oracles thy),

      Pretty.big_list "definitions:"

        [pretty_finals reds0,

         Pretty.big_list "non-overloaded:" (map pretty_reduct reds1),

         Pretty.big_list "overloaded:" (map pretty_reduct reds2),

         Pretty.big_list "pattern restrictions:" (map pretty_restrict rests)]]

  end;

(** print_goals **)

(* print_goals etc. *)

val show_consts = ref false;  (*true: show consts with types in proof state output*)

(*print thm A1,...,An/B in "goal style" -- premises as numbered subgoals*)

local

fun ins_entry (x, y) =

  AList.default (op =) (x, []) #>

  AList.map_entry (op =) x (insert (op =) y);

val add_consts = Term.fold_aterms

  (fn Const (c, T) => ins_entry (T, (c, T))

    | _ => I);

val add_vars = Term.fold_aterms

  (fn Free (x, T) => ins_entry (T, (x, ~1))

    | Var (xi, T) => ins_entry (T, xi)

    | _ => I);

val add_varsT = Term.fold_atyps

  (fn TFree (x, S) => ins_entry (S, (x, ~1))

    | TVar (xi, S) => ins_entry (S, xi)

    | _ => I);

fun sort_idxs vs = map (apsnd (sort (prod_ord string_ord int_ord))) vs;

fun sort_cnsts cs = map (apsnd (sort_wrt fst)) cs;

fun consts_of t = sort_cnsts (add_consts t []);

fun vars_of t = sort_idxs (add_vars t []);

fun varsT_of t = rev (sort_idxs (Term.fold_types add_varsT t []));

in

fun pretty_goals_aux pp markup (msg, main) maxgoals state =

  let

    fun prt_atoms prt prtT (X, xs) = Pretty.block

      [Pretty.block (Pretty.commas (map prt xs)), Pretty.str " ::",

        Pretty.brk 1, prtT X];

    fun prt_var (x, ~1) = Pretty.term pp (Syntax.free x)

      | prt_var xi = Pretty.term pp (Syntax.var xi);

    fun prt_varT (x, ~1) = Pretty.typ pp (TFree (x, []))

      | prt_varT xi = Pretty.typ pp (TVar (xi, []));

    val prt_consts = prt_atoms (Pretty.term pp o Const) (Pretty.typ pp);

    val prt_vars = prt_atoms prt_var (Pretty.typ pp);

    val prt_varsT = prt_atoms prt_varT (Pretty.sort pp);

    fun pretty_list _ _ [] = []

      | pretty_list name prt lst = [Pretty.big_list name (map prt lst)];

    fun pretty_subgoal (n, A) = Pretty.markup markup

      [Pretty.str (" " ^ string_of_int n ^ ". "), Pretty.term pp A];

    fun pretty_subgoals As = map pretty_subgoal (1 upto length As ~~ As);

    val pretty_ffpairs = pretty_list "flex-flex pairs:" (pretty_flexpair pp);

    val pretty_consts = pretty_list "constants:" prt_consts o consts_of;

    val pretty_vars = pretty_list "variables:" prt_vars o vars_of;

    val pretty_varsT = pretty_list "type variables:" prt_varsT o varsT_of;

    val {prop, tpairs, ...} = Thm.rep_thm state;

    val (As, B) = Logic.strip_horn prop;

    val ngoals = length As;

    fun pretty_gs (types, sorts) =

      (if main then [Pretty.term pp B] else []) @

       (if ngoals = 0 then [Pretty.str "No subgoals!"]

        else if ngoals > maxgoals then

          pretty_subgoals (Library.take (maxgoals, As)) @

          (if msg then [Pretty.str ("A total of " ^ string_of_int ngoals ^ " subgoals...")]

           else [])

        else pretty_subgoals As) @

      pretty_ffpairs tpairs @

      (if ! show_consts then pretty_consts prop else []) @

      (if types then pretty_vars prop else []) @

      (if sorts then pretty_varsT prop else []);

  in

    setmp show_no_free_types true

      (setmp show_types (! show_types orelse ! show_sorts orelse ! show_all_types)

        (setmp show_sorts false pretty_gs))

   (! show_types orelse ! show_sorts orelse ! show_all_types, ! show_sorts)

  end;

fun pretty_goals n th =

  pretty_goals_aux (Syntax.pp_global (Thm.theory_of_thm th)) Markup.none (true, true) n th;

val print_goals = (Pretty.writeln o Pretty.chunks) oo pretty_goals;

end;

end;

structure BasicDisplay: BASIC_DISPLAY = Display;

open BasicDisplay;