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pt::pe(n)			 Parser Tools			     pt::pe(n)

______________________________________________________________________________

NAME
       pt::pe - Parsing Expression Serialization

SYNOPSIS
       package require Tcl  8.5

       package require pt::pe  ?1?

       package require char

       ::pt::pe verify serial ?canonvar?

       ::pt::pe verify-as-canonical serial

       ::pt::pe canonicalize serial

       ::pt::pe print serial

       ::pt::pe bottomup cmdprefix pe

       cmdprefix pe op arguments

       ::pt::pe topdown cmdprefix pe

       ::pt::pe equal seriala serialb

       ::pt::pe epsilon

       ::pt::pe dot

       ::pt::pe alnum

       ::pt::pe alpha

       ::pt::pe ascii

       ::pt::pe control

       ::pt::pe digit

       ::pt::pe graph

       ::pt::pe lower

       ::pt::pe print

       ::pt::pe punct

       ::pt::pe space

       ::pt::pe upper

       ::pt::pe wordchar

       ::pt::pe xdigit

       ::pt::pe ddigit

       ::pt::pe terminal t

       ::pt::pe range ta tb

       ::pt::pe nonterminal nt

       ::pt::pe choice pe...

       ::pt::pe sequence pe...

       ::pt::pe repeat0 pe

       ::pt::pe repeat1 pe

       ::pt::pe optional pe

       ::pt::pe ahead pe

       ::pt::pe notahead pe

_________________________________________________________________

DESCRIPTION
       Are  you	 lost ?	 Do you have trouble understanding this document ?  In
       that case please read the overview  provided  by	 the  Introduction  to
       Parser  Tools.  This document is the entrypoint to the whole system the
       current package is a part of.

       This package provides commands to work with the serializations of pars‐
       ing  expressions	 as managed by the Parser Tools, and specified in sec‐
       tion PE serialization format.

       This is a supporting package in the Core Layer of Parser Tools.

       IMAGE: arch_core_support

API
       ::pt::pe verify serial ?canonvar?
	      This command verifies that the content  of  serial  is  a	 valid
	      serialization of a parsing expression and will throw an error if
	      that is not the case. The result of the  command	is  the	 empty
	      string.

	      If  the  argument canonvar is specified it is interpreted as the
	      name of a variable in the calling context. This variable will be
	      written  to  if and only if serial is a valid regular serializa‐
	      tion. Its value will be a boolean, with True indicating that the
	      serialization  is not only valid, but also canonical. False will
	      be written for a valid, but non-canonical serialization.

	      For the specification of serializations see the section PE seri‐
	      alization format.

       ::pt::pe verify-as-canonical serial
	      This  command  verifies  that  the  content of serial is a valid
	      canonical serialization of a parsing expression and  will	 throw
	      an  error	 if that is not the case. The result of the command is
	      the empty string.

	      For the specification of canonical serializations see  the  sec‐
	      tion PE serialization format.

       ::pt::pe canonicalize serial
	      This command assumes that the content of serial is a valid regu‐
	      lar serialization of a parsing  expression  and  will  throw  an
	      error if that is not the case.

	      It  will then convert the input into the canonical serialization
	      of this parsing expression and return it as its result.  If  the
	      input is already canonical it will be returned unchanged.

	      For  the	specification  of regular and canonical serializations
	      see the section PE serialization format.

       ::pt::pe print serial
	      This command assumes that the argument serial contains  a	 valid
	      serialization  of a parsing expression and returns a string con‐
	      taining that PE in a human readable form.

	      The exact format of this form is not  specified  and  cannot  be
	      relied on for parsing or other machine-based activities.

	      For the specification of serializations see the section PE seri‐
	      alization format.

       ::pt::pe bottomup cmdprefix pe
	      This command walks the parsing expression pe from the bottom  up
	      to the root, invoking the command prefix cmdprefix for each par‐
	      tial expression. This implies that the  children	of  a  parsing
	      expression PE are handled before PE.

	      The command prefix has the signature

	      cmdprefix pe op arguments
		     I.e.  it  is  invoked  with the parsing expression pe the
		     walk is currently at, the op'erator in the	 pe,  and  the
		     operator's arguments.

		     The  result returned by the command prefix replaces pe in
		     the parsing expression it was a child of, allowing trans‐
		     formations of the expression tree.

		     This  also	 means	that for all inner parsing expressions
		     the contents of arguments are the results of the  command
		     prefix  invoked  for  the	children of this inner parsing
		     expression.

       ::pt::pe topdown cmdprefix pe
	      This command walks the parsing expression pe from the root  down
	      to  the  leaves,	invoking the command prefix cmdprefix for each
	      partial expression. This implies that the children of a  parsing
	      expression PE are handled after PE.

	      The  command  prefix has the same signature as for bottomup, see
	      above.

	      The result returned by the command prefix is ignored.

       ::pt::pe equal seriala serialb
	      This command tests the two parsing expressions seriala and seri‐
	      alb  for	structural  equality.  The  result of the command is a
	      boolean value. It will be set to true  if	 the  expressions  are
	      identical, and false otherwise.

	      String  equality	is  usable  only if we can assume that the two
	      parsing expressions are pure Tcl lists.

       ::pt::pe epsilon
	      This  command  constructs	 the  atomic  parsing  expression  for
	      epsilon.

       ::pt::pe dot
	      This command constructs the atomic parsing expression for dot.

       ::pt::pe alnum
	      This command constructs the atomic parsing expression for alnum.

       ::pt::pe alpha
	      This command constructs the atomic parsing expression for alpha.

       ::pt::pe ascii
	      This command constructs the atomic parsing expression for ascii.

       ::pt::pe control
	      This  command  constructs the atomic parsing expression for con‐
	      trol.

       ::pt::pe digit
	      This command constructs the atomic parsing expression for digit.

       ::pt::pe graph
	      This command constructs the atomic parsing expression for graph.

       ::pt::pe lower
	      This command constructs the atomic parsing expression for lower.

       ::pt::pe print
	      This command constructs the atomic parsing expression for print.

       ::pt::pe punct
	      This command constructs the atomic parsing expression for punct.

       ::pt::pe space
	      This command constructs the atomic parsing expression for space.

       ::pt::pe upper
	      This command constructs the atomic parsing expression for upper.

       ::pt::pe wordchar
	      This command constructs the atomic parsing expression for	 word‐
	      char.

       ::pt::pe xdigit
	      This  command  constructs	 the  atomic  parsing  expression  for
	      xdigit.

       ::pt::pe ddigit
	      This  command  constructs	 the  atomic  parsing  expression  for
	      ddigit.

       ::pt::pe terminal t
	      This  command  constructs	 the atomic parsing expression for the
	      terminal symbol t.

       ::pt::pe range ta tb
	      This command constructs the atomic parsing  expression  for  the
	      range of terminal symbols ta ... tb.

       ::pt::pe nonterminal nt
	      This  command  constructs	 the atomic parsing expression for the
	      nonterminal symbol nt.

       ::pt::pe choice pe...
	      This command constructs the parsing expression representing  the
	      ordered  or  prioritized	choice	between	 the  argument parsing
	      expressions. The first argument has the highest priority.

       ::pt::pe sequence pe...
	      This command constructs the parsing expression representing  the
	      sequence	of the argument parsing expression. The first argument
	      is the first element of the sequence.

       ::pt::pe repeat0 pe
	      This command constructs the parsing expression representing  the
	      zero  or	more repetition of the argument parsing expression pe,
	      also known as the kleene closure.

       ::pt::pe repeat1 pe
	      This command constructs the parsing expression representing  the
	      one  or  more  repetition of the argument parsing expression pe,
	      also known as the positive kleene closure.

       ::pt::pe optional pe
	      This command constructs the parsing expression representing  the
	      optionality of the argument parsing expression pe.

       ::pt::pe ahead pe
	      This  command constructs the parsing expression representing the
	      positive lookahead of the argument parsing expression pe.

       ::pt::pe notahead pe
	      This command constructs the parsing expression representing  the
	      negative lookahead of the argument parsing expression pe.

PE SERIALIZATION FORMAT
       Here  we specify the format used by the Parser Tools to serialize Pars‐
       ing Expressions as immutable values for transport, comparison, etc.

       We distinguish between regular and canonical serializations.   While  a
       parsing	expression  may	 have more than one regular serialization only
       exactly one of them will be canonical.

       Regular serialization

	      Atomic Parsing Expressions

		     [1]    The string epsilon is an  atomic  parsing  expres‐
			    sion. It matches the empty string.

		     [2]    The string dot is an atomic parsing expression. It
			    matches any character.

		     [3]    The string alnum is an atomic parsing  expression.
			    It	matches	 any Unicode alphabet or digit charac‐
			    ter. This is a custom extension of	PEs  based  on
			    Tcl's builtin command string is.

		     [4]    The	 string alpha is an atomic parsing expression.
			    It matches any Unicode alphabet character. This is
			    a  custom  extension of PEs based on Tcl's builtin
			    command string is.

		     [5]    The string ascii is an atomic parsing  expression.
			    It matches any Unicode character below U0080. This
			    is a  custom  extension  of	 PEs  based  on	 Tcl's
			    builtin command string is.

		     [6]    The	 string	 control  is an atomic parsing expres‐
			    sion. It matches any  Unicode  control  character.
			    This  is  a custom extension of PEs based on Tcl's
			    builtin command string is.

		     [7]    The string digit is an atomic parsing  expression.
			    It	matches any Unicode digit character. Note that
			    this includes characters  outside  of  the	[0..9]
			    range.  This is a custom extension of PEs based on
			    Tcl's builtin command string is.

		     [8]    The string graph is an atomic parsing  expression.
			    It	matches any Unicode printing character, except
			    for space. This is a custom extension of PEs based
			    on Tcl's builtin command string is.

		     [9]    The	 string lower is an atomic parsing expression.
			    It matches any Unicode lower-case alphabet charac‐
			    ter.  This	is  a custom extension of PEs based on
			    Tcl's builtin command string is.

		     [10]   The string print is an atomic parsing  expression.
			    It matches any Unicode printing character, includ‐
			    ing space. This is a custom extension of PEs based
			    on Tcl's builtin command string is.

		     [11]   The	 string punct is an atomic parsing expression.
			    It matches any Unicode punctuation character. This
			    is	a  custom  extension  of  PEs  based  on Tcl's
			    builtin command string is.

		     [12]   The string space is an atomic parsing  expression.
			    It	matches any Unicode space character. This is a
			    custom extension of PEs  based  on	Tcl's  builtin
			    command string is.

		     [13]   The	 string upper is an atomic parsing expression.
			    It matches any Unicode upper-case alphabet charac‐
			    ter.  This	is  a custom extension of PEs based on
			    Tcl's builtin command string is.

		     [14]   The string wordchar is an atomic  parsing  expres‐
			    sion.  It matches any Unicode word character. This
			    is any alphanumeric character (see alnum), and any
			    connector  punctuation  characters	(e.g.	under‐
			    score). This is a custom extension of PEs based on
			    Tcl's builtin command string is.

		     [15]   The string xdigit is an atomic parsing expression.
			    It matches any hexadecimal digit  character.  This
			    is	a  custom  extension  of  PEs  based  on Tcl's
			    builtin command string is.

		     [16]   The string ddigit is an atomic parsing expression.
			    It	matches any decimal digit character. This is a
			    custom extension of PEs  based  on	Tcl's  builtin
			    command regexp.

		     [17]   The	 expression  [list  t  x] is an atomic parsing
			    expression. It matches the terminal string x.

		     [18]   The expression [list n A]  is  an  atomic  parsing
			    expression. It matches the nonterminal A.

	      Combined Parsing Expressions

		     [1]    For	 parsing expressions e1, e2, ... the result of
			    [list / e1 e2 ... ] is  a  parsing	expression  as
			    well.  This is the ordered choice, aka prioritized
			    choice.

		     [2]    For parsing expressions e1, e2, ... the result  of
			    [list  x  e1  e2  ... ] is a parsing expression as
			    well.  This is the sequence.

		     [3]    For a parsing expression e the result of  [list  *
			    e]	is  a parsing expression as well.  This is the
			    kleene closure, describing zero  or	 more  repeti‐
			    tions.

		     [4]    For	 a  parsing expression e the result of [list +
			    e] is a parsing expression as well.	 This  is  the
			    positive  kleene  closure,	describing one or more
			    repetitions.

		     [5]    For a parsing expression e the result of  [list  &
			    e]	is  a parsing expression as well.  This is the
			    and lookahead predicate.

		     [6]    For a parsing expression e the result of  [list  !
			    e]	is  a parsing expression as well.  This is the
			    not lookahead predicate.

		     [7]    For a parsing expression e the result of  [list  ?
			    e]	is  a parsing expression as well.  This is the
			    optional input.

       Canonical serialization
	      The canonical serialization of a parsing expression has the for‐
	      mat  as  specified  in  the previous item, and then additionally
	      satisfies the constraints below, which make it unique among  all
	      the possible serializations of this parsing expression.

	      [1]    The  string  representation of the value is the canonical
		     representation of a pure Tcl list. I.e. it does not  con‐
		     tain superfluous whitespace.

	      [2]    Terminals	are not encoded as ranges (where start and end
		     of the range are identical).

   EXAMPLE
       Assuming the parsing expression shown on the  right-hand	 side  of  the
       rule

	   Expression <- '(' Expression ')'
		       / Factor (MulOp Factor)*

       then its canonical serialization (except for whitespace) is

	   {/ {x {t (} {n Expression} {t )}} {x {n Factor} {* {x {n MulOp} {n Factor}}}}}

BUGS, IDEAS, FEEDBACK
       This  document,	and the package it describes, will undoubtedly contain
       bugs and other problems.	 Please report such in the category pt of  the
       Tcllib  SF  Trackers  [http://sourceforge.net/tracker/?group_id=12883].
       Please also report any ideas for enhancements you may have  for	either
       package and/or documentation.

KEYWORDS
       EBNF,  LL(k),  PEG,  TDPL, context-free languages, expression, grammar,
       matching, parser, parsing expression, parsing expression grammar,  push
       down  automaton,	 recursive descent, state, top-down parsing languages,
       transducer

CATEGORY
       Parsing and Grammars

COPYRIGHT
       Copyright (c) 2009 Andreas Kupries <andreas_kupries@users.sourceforge.net>

pt				       1			     pt::pe(n)
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