src/Pure/General/pretty.ML

add lemmas abs_hnorm_cancel, hnorm_of_hypreal

(*  Title:      Pure/General/pretty.ML
    ID:         $Id$
    Author:     Lawrence C Paulson, Cambridge University Computer Laboratory
    Author:     Markus Wenzel, TU Munich

Generic pretty printing module.

Loosely based on
  D. C. Oppen, "Pretty Printing",
  ACM Transactions on Programming Languages and Systems (1980), 465-483.

The object to be printed is given as a tree with indentation and line
breaking information.  A "break" inserts a newline if the text until
the next break is too long to fit on the current line.  After the newline,
text is indented to the level of the enclosing block.  Normally, if a block
is broken then all enclosing blocks will also be broken.  Only "inconsistent
breaks" are provided.

The stored length of a block is used in breakdist (to treat each inner block as
a unit for breaking).
*)

type pprint_args = (string -> unit) * (int -> unit) * (int -> unit) *
  (unit -> unit) * (unit -> unit);

signature PRETTY =
sig
  type T
  val raw_str: string * real -> T
  val str: string -> T
  val command: string -> T
  val keyword: string -> T
  val brk: int -> T
  val fbrk: T
  val blk: int * T list -> T
  val unbreakable: T -> T
  val breaks: T list -> T list
  val fbreaks: T list -> T list
  val block: T list -> T
  val block_enclose: T * T -> T list -> T
  val strs: string list -> T
  val chunks: T list -> T
  val chunks2: T list -> T
  val quote: T -> T
  val backquote: T -> T
  val separate: string -> T list -> T list
  val commas: T list -> T list
  val enclose: string -> string -> T list -> T
  val enum: string -> string -> string -> T list -> T
  val list: string -> string -> T list -> T
  val str_list: string -> string -> string list -> T
  val big_list: string -> T list -> T
  val indent: int -> T -> T
  val string_of: T -> string
  val output_buffer: T -> Buffer.T
  val output: T -> string
  val writeln: T -> unit
  val writelns: T list -> unit
  val str_of: T -> string
  val pprint: T -> pprint_args -> unit
  val setdepth: int -> unit
  val setmargin: int -> unit
  val setmp_margin: int -> ('a -> 'b) -> 'a -> 'b
  type pp
  val pp: (term -> T) * (typ -> T) * (sort -> T) * (class list -> T) * (arity -> T) -> pp
  val term: pp -> term -> T
  val typ: pp -> typ -> T
  val sort: pp -> sort -> T
  val classrel: pp -> class list -> T
  val arity: pp -> arity -> T
  val string_of_term: pp -> term -> string
  val string_of_typ: pp -> typ -> string
  val string_of_sort: pp -> sort -> string
  val string_of_classrel: pp -> class list -> string
  val string_of_arity: pp -> arity -> string
end;

structure Pretty : PRETTY =
struct


(** printing items: compound phrases, strings, and breaks **)

datatype T =
  Block of T list * int * int |         (*body, indentation, length*)
  String of string * int |              (*text, length*)
  Break of bool * int;                  (*mandatory flag, width if not taken*)



(** output text **)

val output_spaces = Output.output o Symbol.spaces;
val add_indent = Buffer.add o output_spaces;
fun set_indent wd = Buffer.empty |> add_indent wd;

type text = {tx: Buffer.T, ind: Buffer.T, pos: int, nl: int};

val empty: text =
 {tx = Buffer.empty,
  ind = Buffer.empty,
  pos = 0,
  nl = 0};

fun newline {tx, ind, pos, nl} : text =
 {tx = Buffer.add (Output.output "\n") tx,
  ind = Buffer.empty,
  pos = 0,
  nl = nl + 1};

fun string (s, len) {tx, ind, pos: int, nl} : text =
 {tx = Buffer.add s tx,
  ind = Buffer.add s ind,
  pos = pos + len,
  nl = nl};

fun blanks wd = string (output_spaces wd, wd);

fun indentation (buf, len) {tx, ind, pos, nl} : text =
  let val s = Buffer.content buf in
   {tx = Buffer.add (Output.indent (s, len)) tx,
    ind = Buffer.add s ind,
    pos = pos + len,
    nl = nl}
  end;



(** formatting **)

(* margin *)

fun make_margin_info m =
 {margin = m,                   (*right margin, or page width*)
  breakgain = m div 20,         (*minimum added space required of a break*)
  emergencypos = m div 2};      (*position too far to right*)

val margin_info = ref (make_margin_info 76);
fun setmargin m = margin_info := make_margin_info m;
fun setmp_margin m f = setmp margin_info (make_margin_info m) f;


(* format *)

(*Add the lengths of the expressions until the next Break; if no Break then
  include "after", to account for text following this block.*)
fun breakdist (Block (_, _, len) :: es, after) = len + breakdist (es, after)
  | breakdist (String (s, len) :: es, after) = len + breakdist (es, after)
  | breakdist (Break _ :: es, after) = 0
  | breakdist ([], after) = after;

(*Search for the next break (at this or higher levels) and force it to occur.*)
fun forcenext [] = []
  | forcenext (Break (_, wd) :: es) = Break (true, 0) :: es
  | forcenext (e :: es) = e :: forcenext es;

(*es is list of expressions to print;
  blockin is the indentation of the current block;
  after is the width of the following context until next break.*)
fun format ([], _, _) text = text
  | format (e :: es, block as (blockind, blockin), after) (text as {ind, pos, nl, ...}) =
      (case e of
        Block (bes, indent, wd) =>
          let
            val {emergencypos, ...} = ! margin_info;
            val pos' = pos + indent;
            val pos'' = pos' mod emergencypos;
            val block' =
              if pos' < emergencypos then (ind |> add_indent indent, pos')
              else (set_indent pos'', pos'');
            val btext: text = format (bes, block', breakdist (es, after)) text;
            (*if this block was broken then force the next break*)
            val es2 = if nl < #nl btext then forcenext es else es;
          in format (es2, block, after) btext end
      | String str => format (es, block, after) (string str text)
      | Break (force, wd) =>
          let val {margin, breakgain, ...} = ! margin_info in
            (*no break if text to next break fits on this line
              or if breaking would add only breakgain to space*)
            format (es, block, after)
              (if not force andalso
                  pos + wd <= Int.max (margin - breakdist (es, after), blockin + breakgain)
                then text |> blanks wd  (*just insert wd blanks*)
                else text |> newline |> indentation block)
          end);


(** Exported functions to create formatting expressions **)

fun length (Block (_, _, len)) = len
  | length (String (_, len)) = len
  | length (Break(_, wd)) = wd;

fun raw_str (s, len) = String (s, Real.round len);
val str = String o apsnd Real.round o Output.output_width;

val command = String o apsnd Real.round o Output.keyword_width true;
val keyword = String o apsnd Real.round o Output.keyword_width false;

fun brk wd = Break (false, wd);
val fbrk = Break (true, 2);

fun blk (indent, es) =
  let
    fun sum([], k) = k
      | sum(e :: es, k) = sum (es, length e + k);
  in Block (es, indent, sum (es, 0)) end;

fun unbreakable (Break (_, wd)) = String (output_spaces wd, wd)
  | unbreakable (Block (es, indent, wd)) = Block (map unbreakable es, indent, wd)
  | unbreakable (e as String _) = e;


(* utils *)

fun breaks prts = Library.separate (brk 1) prts;
fun fbreaks prts = Library.separate fbrk prts;

fun block prts = blk (2, prts);

val strs = block o breaks o map str;
fun chunks prts = blk (0, fbreaks prts);
fun chunks2 prts = blk (0, flat (Library.separate [fbrk, fbrk] (map single prts)));
fun block_enclose (p1, p2) ps = chunks [(block  o fbreaks) (p1 :: ps), p2];

fun quote prt = blk (1, [str "\"", prt, str "\""]);
fun backquote prt = blk (1, [str "`", prt, str "`"]);

fun separate sep prts =
  flat (Library.separate [str sep, brk 1] (map single prts));

val commas = separate ",";

fun enclose lpar rpar prts =
  block (str lpar :: (prts @ [str rpar]));

fun enum sep lpar rpar prts = enclose lpar rpar (separate sep prts);

val list = enum ",";
fun str_list lpar rpar strs = list lpar rpar (map str strs);

fun big_list name prts = block (fbreaks (str name :: prts));

fun indent 0 prt = prt
  | indent n prt = blk (0, [str (Symbol.spaces n), prt]);



(** Pretty printing with depth limitation **)

val depth       = ref 0;        (*maximum depth; 0 means no limit*)

fun setdepth dp = (depth := dp);

(*Recursively prune blocks, discarding all text exceeding depth dp*)
fun pruning dp (Block(bes,indent,wd)) =
      if dp>0 then blk(indent, map (pruning(dp-1)) bes)
              else str "..."
  | pruning dp e = e;

fun prune dp e = if dp > 0 then pruning dp e else e;

fun output_buffer e = #tx (format ([prune (! depth) e], (Buffer.empty, 0), 0) empty);
val output = Buffer.content o output_buffer;
val string_of = Output.raw o output;
val writeln = Output.writeln o string_of;
fun writelns [] = () | writelns es = writeln (chunks es);


(*Create a single flat string: no line breaking*)
fun str_of prt =
  let
    fun s_of (Block (prts, _, _)) = implode (map s_of prts)
      | s_of (String (s, _)) = s
      | s_of (Break (false, wd)) = output_spaces wd
      | s_of (Break (true, _)) = output_spaces 1;
  in Output.raw (s_of (prune (! depth) prt)) end;

(*part of the interface to the ML toplevel pretty printers*)
fun pprint prt (put_str, begin_blk, put_brk, put_fbrk, end_blk) =
  let
    fun pp (Block (prts, ind, _)) = (begin_blk ind; pp_lst prts; end_blk ())
      | pp (String (s, _)) = put_str s
      | pp (Break (false, wd)) = put_brk wd
      | pp (Break (true, _)) = put_fbrk ()
    and pp_lst [] = ()
      | pp_lst (prt :: prts) = (pp prt; pp_lst prts);
  in
    pp (prune (! depth) prt)
  end;



(** abstract pretty printing context **)

datatype pp =
  PP of (term -> T) * (typ -> T) * (sort -> T) * (class list -> T) * (arity -> T);

val pp = PP;

fun pp_fun f (PP x) = f x;

val term     = pp_fun #1;
val typ      = pp_fun #2;
val sort     = pp_fun #3;
val classrel = pp_fun #4;
val arity    = pp_fun #5;

val string_of_term     = string_of oo term;
val string_of_typ      = string_of oo typ;
val string_of_sort     = string_of oo sort;
val string_of_classrel = string_of oo classrel;
val string_of_arity    = string_of oo arity;

end;