pt::peg::to::param - PEG Conversion. Write PARAM format
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 implements the converter from parsing expression grammars to PARAM markup.
It resides in the Export section of the Core Layer of Parser Tools, and can be used either directly with the other packages of this layer, or indirectly through the export manager provided by pt::peg::export. The latter is intented for use in untrusted environments and done through the corresponding export plugin pt::peg::export::param sitting between converter and export manager.
The API provided by this package satisfies the specification of the Converter API found in the Parser Tools Export API specification.
This command resets the configuration of the package to its default settings.
This command returns a dictionary containing the current configuration of the package.
This command returns the current value of the specified configuration option of the package. For the set of legal options, please read the section Options.
This command sets the given configuration options of the package, to the specified values. For the set of legal options, please read the section Options.
This command takes the canonical serialization of a parsing expression grammar, as specified in section PEG serialization format, and contained in serial, and generates PARAM markup encoding the grammar, per the current package configuration. The created string is then returned as the result of the command.
The converter to PARAM markup recognizes the following configuration variables and changes its behaviour as they specify.
The PARAM code representation of parsing expression grammars is assembler-like text using the instructions of the virtual machine documented in the PackRat Machine Specification, plus a few more for control flow (jump ok, jump fail, call symbol, return).
It is not really useful, except possibly as a tool demonstrating how a grammar is compiled in general, without getting distracted by the incidentials of a framework, i.e. like the supporting C and Tcl code generated by the other PARAM-derived formats.
It has no direct formal specification beyond what was said above.
Assuming the following PEG for simple mathematical expressions
PEG calculator (Expression) Digit <- '0'/'1'/'2'/'3'/'4'/'5'/'6'/'7'/'8'/'9' ; Sign <- '-' / '+' ; Number <- Sign? Digit+ ; Expression <- Term (AddOp Term)* ; MulOp <- '*' / '/' ; Term <- Factor (MulOp Factor)* ; AddOp <- '+'/'-' ; Factor <- '(' Expression ')' / Number ; END;
one possible PARAM serialization for it is
# -*- text -*- # Parsing Expression Grammar 'TEMPLATE'. # Generated for unknown, from file 'TEST' # # Grammar Start Expression # <<MAIN>>: call sym_Expression halt # # value Symbol 'AddOp' # sym_AddOp: # / # '-' # '+' symbol_restore AddOp found! jump found_7 loc_push call choice_5 fail! value_clear ok! value_leaf AddOp symbol_save AddOp error_nonterminal AddOp loc_pop_discard found_7: ok! ast_value_push return choice_5: # / # '-' # '+' error_clear loc_push error_push input_next "t -" ok! test_char "-" error_pop_merge ok! jump oknoast_4 loc_pop_rewind loc_push error_push input_next "t +" ok! test_char "+" error_pop_merge ok! jump oknoast_4 loc_pop_rewind status_fail return oknoast_4: loc_pop_discard return # # value Symbol 'Digit' # sym_Digit: # / # '0' # '1' # '2' # '3' # '4' # '5' # '6' # '7' # '8' # '9' symbol_restore Digit found! jump found_22 loc_push call choice_20 fail! value_clear ok! value_leaf Digit symbol_save Digit error_nonterminal Digit loc_pop_discard found_22: ok! ast_value_push return choice_20: # / # '0' # '1' # '2' # '3' # '4' # '5' # '6' # '7' # '8' # '9' error_clear loc_push error_push input_next "t 0" ok! test_char "0" error_pop_merge ok! jump oknoast_19 loc_pop_rewind loc_push error_push input_next "t 1" ok! test_char "1" error_pop_merge ok! jump oknoast_19 loc_pop_rewind loc_push error_push input_next "t 2" ok! test_char "2" error_pop_merge ok! jump oknoast_19 loc_pop_rewind loc_push error_push input_next "t 3" ok! test_char "3" error_pop_merge ok! jump oknoast_19 loc_pop_rewind loc_push error_push input_next "t 4" ok! test_char "4" error_pop_merge ok! jump oknoast_19 loc_pop_rewind loc_push error_push input_next "t 5" ok! test_char "5" error_pop_merge ok! jump oknoast_19 loc_pop_rewind loc_push error_push input_next "t 6" ok! test_char "6" error_pop_merge ok! jump oknoast_19 loc_pop_rewind loc_push error_push input_next "t 7" ok! test_char "7" error_pop_merge ok! jump oknoast_19 loc_pop_rewind loc_push error_push input_next "t 8" ok! test_char "8" error_pop_merge ok! jump oknoast_19 loc_pop_rewind loc_push error_push input_next "t 9" ok! test_char "9" error_pop_merge ok! jump oknoast_19 loc_pop_rewind status_fail return oknoast_19: loc_pop_discard return # # value Symbol 'Expression' # sym_Expression: # / # x # '\(' # (Expression) # '\)' # x # (Factor) # * # x # (MulOp) # (Factor) symbol_restore Expression found! jump found_46 loc_push ast_push call choice_44 fail! value_clear ok! value_reduce Expression symbol_save Expression error_nonterminal Expression ast_pop_rewind loc_pop_discard found_46: ok! ast_value_push return choice_44: # / # x # '\(' # (Expression) # '\)' # x # (Factor) # * # x # (MulOp) # (Factor) error_clear ast_push loc_push error_push call sequence_27 error_pop_merge ok! jump ok_43 ast_pop_rewind loc_pop_rewind ast_push loc_push error_push call sequence_40 error_pop_merge ok! jump ok_43 ast_pop_rewind loc_pop_rewind status_fail return ok_43: ast_pop_discard loc_pop_discard return sequence_27: # x # '\(' # (Expression) # '\)' loc_push error_clear error_push input_next "t (" ok! test_char "(" error_pop_merge fail! jump failednoast_29 ast_push error_push call sym_Expression error_pop_merge fail! jump failed_28 error_push input_next "t )" ok! test_char ")" error_pop_merge fail! jump failed_28 ast_pop_discard loc_pop_discard return failed_28: ast_pop_rewind failednoast_29: loc_pop_rewind return sequence_40: # x # (Factor) # * # x # (MulOp) # (Factor) ast_push loc_push error_clear error_push call sym_Factor error_pop_merge fail! jump failed_41 error_push call kleene_37 error_pop_merge fail! jump failed_41 ast_pop_discard loc_pop_discard return failed_41: ast_pop_rewind loc_pop_rewind return kleene_37: # * # x # (MulOp) # (Factor) loc_push error_push call sequence_34 error_pop_merge fail! jump failed_38 loc_pop_discard jump kleene_37 failed_38: loc_pop_rewind status_ok return sequence_34: # x # (MulOp) # (Factor) ast_push loc_push error_clear error_push call sym_MulOp error_pop_merge fail! jump failed_35 error_push call sym_Factor error_pop_merge fail! jump failed_35 ast_pop_discard loc_pop_discard return failed_35: ast_pop_rewind loc_pop_rewind return # # value Symbol 'Factor' # sym_Factor: # x # (Term) # * # x # (AddOp) # (Term) symbol_restore Factor found! jump found_60 loc_push ast_push call sequence_57 fail! value_clear ok! value_reduce Factor symbol_save Factor error_nonterminal Factor ast_pop_rewind loc_pop_discard found_60: ok! ast_value_push return sequence_57: # x # (Term) # * # x # (AddOp) # (Term) ast_push loc_push error_clear error_push call sym_Term error_pop_merge fail! jump failed_58 error_push call kleene_54 error_pop_merge fail! jump failed_58 ast_pop_discard loc_pop_discard return failed_58: ast_pop_rewind loc_pop_rewind return kleene_54: # * # x # (AddOp) # (Term) loc_push error_push call sequence_51 error_pop_merge fail! jump failed_55 loc_pop_discard jump kleene_54 failed_55: loc_pop_rewind status_ok return sequence_51: # x # (AddOp) # (Term) ast_push loc_push error_clear error_push call sym_AddOp error_pop_merge fail! jump failed_52 error_push call sym_Term error_pop_merge fail! jump failed_52 ast_pop_discard loc_pop_discard return failed_52: ast_pop_rewind loc_pop_rewind return # # value Symbol 'MulOp' # sym_MulOp: # / # '*' # '/' symbol_restore MulOp found! jump found_67 loc_push call choice_65 fail! value_clear ok! value_leaf MulOp symbol_save MulOp error_nonterminal MulOp loc_pop_discard found_67: ok! ast_value_push return choice_65: # / # '*' # '/' error_clear loc_push error_push input_next "t *" ok! test_char "*" error_pop_merge ok! jump oknoast_64 loc_pop_rewind loc_push error_push input_next "t /" ok! test_char "/" error_pop_merge ok! jump oknoast_64 loc_pop_rewind status_fail return oknoast_64: loc_pop_discard return # # value Symbol 'Number' # sym_Number: # x # ? # (Sign) # + # (Digit) symbol_restore Number found! jump found_80 loc_push ast_push call sequence_77 fail! value_clear ok! value_reduce Number symbol_save Number error_nonterminal Number ast_pop_rewind loc_pop_discard found_80: ok! ast_value_push return sequence_77: # x # ? # (Sign) # + # (Digit) ast_push loc_push error_clear error_push call optional_70 error_pop_merge fail! jump failed_78 error_push call poskleene_73 error_pop_merge fail! jump failed_78 ast_pop_discard loc_pop_discard return failed_78: ast_pop_rewind loc_pop_rewind return optional_70: # ? # (Sign) loc_push error_push call sym_Sign error_pop_merge fail! loc_pop_rewind ok! loc_pop_discard status_ok return poskleene_73: # + # (Digit) loc_push call sym_Digit fail! jump failed_74 loop_75: loc_pop_discard loc_push error_push call sym_Digit error_pop_merge ok! jump loop_75 status_ok failed_74: loc_pop_rewind return # # value Symbol 'Sign' # sym_Sign: # / # '-' # '+' symbol_restore Sign found! jump found_86 loc_push call choice_5 fail! value_clear ok! value_leaf Sign symbol_save Sign error_nonterminal Sign loc_pop_discard found_86: ok! ast_value_push return # # value Symbol 'Term' # sym_Term: # (Number) symbol_restore Term found! jump found_89 loc_push ast_push call sym_Number fail! value_clear ok! value_reduce Term symbol_save Term error_nonterminal Term ast_pop_rewind loc_pop_discard found_89: ok! ast_value_push return # #
Here we specify the format used by the Parser Tools to serialize Parsing Expression Grammars as immutable values for transport, comparison, etc.
We distinguish between regular and canonical serializations. While a PEG may have more than one regular serialization only exactly one of them will be canonical.
The serialization of any PEG is a nested Tcl dictionary.
This dictionary holds a single key, pt::grammar::peg, and its value. This value holds the contents of the grammar.
The contents of the grammar are a Tcl dictionary holding the set of nonterminal symbols and the starting expression. The relevant keys and their values are
The value is a Tcl dictionary whose keys are the names of the nonterminal symbols known to the grammar.
Each nonterminal symbol may occur only once.
The empty string is not a legal nonterminal symbol.
The value for each symbol is a Tcl dictionary itself. The relevant keys and their values in this dictionary are
The value is the serialization of the parsing expression describing the symbols sentennial structure, as specified in the section PE serialization format.
The value can be one of three values specifying how a parser should handle the semantic value produced by the symbol.
The semantic value of the nonterminal symbol is an abstract syntax tree consisting of a single node node for the nonterminal itself, which has the ASTs of the symbol's right hand side as its children.
The semantic value of the nonterminal symbol is an abstract syntax tree consisting of a single node node for the nonterminal, without any children. Any ASTs generated by the symbol's right hand side are discarded.
The nonterminal has no semantic value. Any ASTs generated by the symbol's right hand side are discarded (as well).
The value is the serialization of the start parsing expression of the grammar, as specified in the section PE serialization format.
The terminal symbols of the grammar are specified implicitly as the set of all terminal symbols used in the start expression and on the RHS of the grammar rules.
The canonical serialization of a grammar has the format as specified in the previous item, and then additionally satisfies the constraints below, which make it unique among all the possible serializations of this grammar.
The keys found in all the nested Tcl dictionaries are sorted in ascending dictionary order, as generated by Tcl's builtin command lsort -increasing -dict.
The string representation of the value is the canonical representation of a Tcl dictionary. I.e. it does not contain superfluous whitespace.
Assuming the following PEG for simple mathematical expressions
PEG calculator (Expression) Digit <- '0'/'1'/'2'/'3'/'4'/'5'/'6'/'7'/'8'/'9' ; Sign <- '-' / '+' ; Number <- Sign? Digit+ ; Expression <- Term (AddOp Term)* ; MulOp <- '*' / '/' ; Term <- Factor (MulOp Factor)* ; AddOp <- '+'/'-' ; Factor <- '(' Expression ')' / Number ; END;
then its canonical serialization (except for whitespace) is
pt::grammar::peg { rules { AddOp {is {/ {t -} {t +}} mode value} Digit {is {/ {t 0} {t 1} {t 2} {t 3} {t 4} {t 5} {t 6} {t 7} {t 8} {t 9}} mode value} Expression {is {x {n Term} {* {x {n AddOp} {n Term}}}} mode value} Factor {is {/ {x {t (} {n Expression} {t )}} {n Number}} mode value} MulOp {is {/ {t *} {t /}} mode value} Number {is {x {? {n Sign}} {+ {n Digit}}} mode value} Sign {is {/ {t -} {t +}} mode value} Term {is {x {n Factor} {* {x {n MulOp} {n Factor}}}} mode value} } start {n Expression} }
Here we specify the format used by the Parser Tools to serialize Parsing 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.
The string epsilon is an atomic parsing expression. It matches the empty string.
The string dot is an atomic parsing expression. It matches any character.
The string alnum is an atomic parsing expression. It matches any Unicode alphabet or digit character. This is a custom extension of PEs based on Tcl's builtin command string is.
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.
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.
The string control is an atomic parsing expression. It matches any Unicode control character. This is a custom extension of PEs based on Tcl's builtin command string is.
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.
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.
The string lower is an atomic parsing expression. It matches any Unicode lower-case alphabet character. This is a custom extension of PEs based on Tcl's builtin command string is.
The string print is an atomic parsing expression. It matches any Unicode printing character, including space. This is a custom extension of PEs based on Tcl's builtin command string is.
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.
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.
The string upper is an atomic parsing expression. It matches any Unicode upper-case alphabet character. This is a custom extension of PEs based on Tcl's builtin command string is.
The string wordchar is an atomic parsing expression. It matches any Unicode word character. This is any alphanumeric character (see alnum), and any connector punctuation characters (e.g. underscore). This is a custom extension of PEs based on Tcl's builtin command string is.
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.
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.
The expression [list t x] is an atomic parsing expression. It matches the terminal string x.
The expression [list n A] is an atomic parsing expression. It matches the nonterminal A.
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.
For parsing expressions e1, e2, ... the result of [list x e1 e2 ... ] is a parsing expression as well. This is the sequence.
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 repetitions.
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.
For a parsing expression e the result of [list & e] is a parsing expression as well. This is the and lookahead predicate.
For a parsing expression e the result of [list ! e] is a parsing expression as well. This is the not lookahead predicate.
For a parsing expression e the result of [list ? e] is a parsing expression as well. This is the optional input.
The canonical serialization of a parsing expression has the format 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.
The string representation of the value is the canonical representation of a pure Tcl list. I.e. it does not contain superfluous whitespace.
Terminals are not encoded as ranges (where start and end of the range are identical).
Assuming the parsing expression shown on the right-hand side of the rule
Expression <- Term (AddOp Term)*
then its canonical serialization (except for whitespace) is
{x {n Term} {* {x {n AddOp} {n Term}}}}
This document, and the package it describes, will undoubtedly contain bugs and other problems. Please report such in the category pt of the Tcllib Trackers. Please also report any ideas for enhancements you may have for either package and/or documentation.
EBNF, LL(k), PARAM, PEG, TDPL, context-free languages, conversion, expression, format conversion, grammar, matching, parser, parsing expression, parsing expression grammar, push down automaton, recursive descent, serialization, state, top-down parsing languages, transducer
Parsing and Grammars
Copyright © 2009 Andreas Kupries <andreas_kupries@users.sourceforge.net>