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NAME

       grammar::me_vm - Virtual machine for parsing token streams

DESCRIPTION

       Please  go  and  read  the  document grammar::me_intro first for an overview of the various documents and
       their relations.

       This document specifies a virtual machine for the controlled  matching  and  parsing  of  token  streams,
       creating  an  abstract  syntax  tree  (short  AST) reflecting the structure of the input. Special machine
       features are the caching and reuse of partial results, caching of the encountered input, and the  ability
       to backtrack in both input and AST creation.

       These  features  make the specified virtual machine especially useful to packrat parsers based on parsing
       expression grammars. It is however not restricted to this type of parser. Normal LL and LR parsers can be
       implemented with it as well.

       The  following sections will discuss first the abstract state kept by ME virtual machines, and then their
       instruction set.

MACHINE STATE

       A ME virtual machine manages the following state:

       Current token CT
              The token from the input under consideration by the machine.

              This information is used and  modified  by  the  instructions  defined  in  the  section  TERMINAL
              MATCHING.

       Current location CL
              The  location of the current token in the input stream, as offset relative to the beginning of the
              stream. The first token is considered to be at offset 0.

              This information is implicitly used and modified by  the  instructions  defined  in  the  sections
              TERMINAL  MATCHING  and  NONTERMINAL  MATCHING,  and  can  be directly queried and modified by the
              instructions defined in section INPUT LOCATION HANDLING.

       Location stack LS
              In addition to the above a stack of locations, for backtracking.  Locations can put on the  stack,
              removed from it, and removed with setting the current location.

              This  information  is  implicitly  used  and  modified by the instructions defined in the sections
              TERMINAL MATCHING and NONTERMINAL MATCHING, and can  be  directly  queried  and  modified  by  the
              instructions defined in section INPUT LOCATION HANDLING.

       Match status OK
              A  boolean  value,  the  result  of the last attempt at matching input.  It is set to true if that
              attempt was successful, and false otherwise.

              This information is influenced by the instructions defined  in  the  sections  TERMINAL  MATCHING,
              NONTERMINAL  MATCHING,  and  UNCONDITIONAL MATCHING.  It is queried by the instructions defined in
              the section CONTROL FLOW.

       Semantic value SV
              The semantic value associated with (generated by) the last attempt  at  matching  input.  Contains
              either the empty string or a node for the abstract syntax tree constructed from the input.

              This  information  is  influenced by the instructions defined in the sections SEMANTIC VALUES, and
              AST STACK HANDLING.

       AST stack AS
              A stack of partial abstract syntax trees constructed by the machine during matching.

              This information is influenced by the instructions defined in the sections  SEMANTIC  VALUES,  and
              AST STACK HANDLING.

       AST Marker stack MS
              In  addition to the above a stack of stacks, for backtracking. This is actually a stack of markers
              into the AST stack, thus implicitly snapshooting the state of the AST stack at some point in time.
              Markers  can  be  put  on  the  stack,  dropped from it, and used to roll back the AST stack to an
              earlier state.

              This information is influenced by the instructions defined in the sections  SEMANTIC  VALUES,  and
              AST STACK HANDLING.

       Error status ER
              Error  information  associated  with the last attempt at matching input. Contains either the empty
              string or a list of 2 elements, a location in the input and a list of  error  messages  associated
              with it, in this order.

              Note  that error information can be set even if the last attempt at matching input was successful.
              For example the *-operator (matching a sub-expression zero or more times) in a parsing  expression
              grammar  is  always  successful,  even  if it encounters a problem further in the input and has to
              backtrack. Such problems must not be forgotten when continuing to match.

              This information is queried and influenced by the instructions defined in  the  sections  TERMINAL
              MATCHING, NONTERMINAL MATCHING, and ERROR HANDLING.

       Error stack ES
              In  addition  to the above a stack of error information, to allow the merging of current and older
              error information when performing backtracking in choices after an unsucessful match.

              This information is queried and influenced by the instructions defined in  the  sections  TERMINAL
              MATCHING, NONTERMINAL MATCHING, and ERROR HANDLING.

       Return stack RS
              A stack of program counter values, i.e. locations in the code controlling the virtual machine, for
              the management of subroutine calls, i.e. the matching of nonterminal symbols.

              This information is queried and influenced by the instructions defined in the section  NONTERMINAL
              MATCHING.

       Nonterminal cache NC
              A cache of machine states (A 4-tuple containing a location in the input, match status OK, semantic
              value SV, and error status ER) keyed by name of nonterminal  symbol  and  location  in  the  input
              stream.

              The  key  location is where machine started the attempt to match the named nonterminal symbol, and
              the location in the value is where machine ended up after the attempt  completed,  independent  of
              the success of the attempt.

              This  status  is  queried  and  influenced  by the instructions defined in the section NONTERMINAL
              MATCHING.

MACHINE INSTRUCTIONS

       With the machine state specified it is now  possible  to  explain  the  instruction  set  of  ME  virtual
       machines. They are grouped roughly by the machine state they influence and/or query.

   TERMINAL MATCHING
       First the instructions to match tokens from the input stream, and by extension all terminal symbols.

       These  instructions are the only ones which may retrieve a new token from the input stream. This is a may
       and not a will because the instructions will a retrieve new token if, and only if the current location CL
       is  at  the  head  of  the stream.  If the machine has backtracked (see icl_rewind) the instructions will
       retrieve the token to compare against from the internal cache.

       ict_advance message
              This instruction tries to advance to the next token in the input stream, i.e. the  one  after  the
              current  location  CL.  The  instruction  will fail if, and only if the end of the input stream is
              reached, i.e. if there is no next token.

              The sucess/failure of the instruction is remembered in the match status OK. In the case of failure
              the  error  status  ER  is  set  to  the current location and the message message.  In the case of
              success the error status ER is cleared, the new token is made the current token CT,  and  the  new
              location is made the current location CL.

              The  argument  message  is  a  reference to the string to put into the error status ER, if such is
              needed.

       ict_match_token tok message
              This instruction tests the current token CT for equality with the argument  tok  and  records  the
              result in the match status OK. The instruction fails if the current token is not equal to tok.

              In  case of failure the error status ER is set to the current location CL and the message message,
              and the current location CL is moved one token backwards.  Otherwise, i.e. upon success, the error
              status ER is cleared and the current location CL is not touched.

       ict_match_tokrange tokbegin tokend message
              This  instruction  tests  the  current  token CT for being in the range of tokens from tokbegin to
              tokend (inclusive) and records the result in the match status OK. The  instruction  fails  if  the
              current token is not inside the range.

              In  case of failure the error status ER is set to the current location CL and the message message,
              and the current location CL is moved one token backwards.  Otherwise, i.e. upon success, the error
              status ER is cleared and the current location CL is not touched.

       ict_match_tokclass code message
              This instruction tests the current token CT for being a member of the token class code and records
              the result in the match status OK. The instruction fails if the current token is not a  member  of
              the specified class.

              In  case of failure the error status ER is set to the current location CL and the message message,
              and the current location CL is moved one token backwards.  Otherwise, i.e. upon success, the error
              status ER is cleared and the current location CL is not touched.

              Currently the following classes are legal:

              alnum  A token is accepted if it is a unicode alphabetical character, or a digit.

              alpha  A token is accepted if it is a unicode alphabetical character.

              digit  A token is accepted if it is a unicode digit character.

              xdigit A token is accepted if it is a hexadecimal digit character.

              punct  A token is accepted if it is a unicode punctuation character.

              space  A token is accepted if it is a unicode space character.

   NONTERMINAL MATCHING
       The  instructions  in this section handle the matching of nonterminal symbols. They query the nonterminal
       cache NC for saved information, and put such information into the cache.

       The usage of the cache is a performance aid for backtracking parsers, allowing them to avoid an expensive
       rematch of complex nonterminal symbols if they have been encountered before.

       inc_restore branchlabel nt
              This  instruction  checks  if  the nonterminal cache NC contains information about the nonterminal
              symbol nt, at the current location CL. If that is the case the instruction will update the machine
              state  (current  location  CL,  match  status OK, semantic value SV, and error status ER) with the
              found information and continue execution at the instruction refered to by the branchlabel. The new
              current  location  CL  will be the last token matched by the nonterminal symbol, i.e. belonging to
              it.

              If no information was found the instruction will continue execution at the next instruction.

              Together with icf_ntcall it is possible to generate code for memoized and non-memoized matching of
              nonterminal symbols, either as subroutine calls, or inlined in the caller.

       inc_save nt
              This  instruction  saves  the  current state of the machine (current location CL, match status OK,
              semantic value SV, and error status ER), to the nonterminal cache NC. It will also  pop  an  entry
              from the location stack LS and save it as the start location of the match.

              It  is  expected to be called at the end of matching a nonterminal symbol, with nt the name of the
              nonterminal symbol the code was working on. This allows the instruction inc_restore to  check  for
              and retrieve the data, should we have to match this nonterminal symbol at the same location again,
              during backtracking.

       icf_ntcall branchlabel
              This instruction invokes the code for matching the nonterminal symbol nt as a subroutine. To  this
              end  it  stores  the current program counter PC on the return stack RS, the current location CL on
              the location stack LS, and then continues execution at the address branchlabel.

              The next matching icf_ntreturn will cause the execution to  continue  at  the  instruction  coming
              after the call.

       icf_ntreturn
              This  instruction will pop an entry from the return stack RS, assign it to the program counter PC,
              and then continue execution at the new address.

   UNCONDITIONAL MATCHING
       The instructions in this section are the remaining match operators.  They  change  the  match  status  OK
       directly and unconditionally.

       iok_ok This instruction sets the match status OK to true, indicating a successful match.

       iok_fail
              This instruction sets the match status OK to false, indicating a failed match.

       iok_negate
              This instruction negates the match status OK, turning a failure into a success and vice versa.

   CONTROL FLOW
       The  instructions  in  this  section  implement  both  conditional  and  unconditional  control flow. The
       conditional jumps query the match status OK.

       icf_jalways branchlabel
              This instruction sets the program counter PC to the address  specified  by  branchlabel  and  then
              continues execution from there. This is an unconditional jump.

       icf_jok branchlabel
              This instruction sets the program counter PC to the address specified by branchlabel. This happens
              if, and only if the match status OK indicates a success. Otherwise it simply  continues  execution
              at the next instruction. This is a conditional jump.

       icf_jfail branchlabel
              This instruction sets the program counter PC to the address specified by branchlabel. This happens
              if, and only if the match status OK indicates a failure. Otherwise it simply  continues  execution
              at the next instruction. This is a conditional jump.

       icf_halt
              This instruction halts the machine and blocks any further execution.

   INPUT LOCATION HANDLING
       The  instructions  in  this  section are for backtracking, they manipulate the current location CL of the
       machine state.  They allow a user of the machine to query and save locations in the input, and to  rewind
       the current location CL to saved locations, making them one of the components enabling the implementation
       of backtracking parsers.

       icl_push
              This instruction pushes a copy of the current location CL on the location stack LS.

       icl_rewind
              This instruction pops an entry from the location stack LS and then moves the current  location  CL
              back to this point in the input.

       icl_pop
              This instruction pops an entry from the location stack LS and discards it.

   ERROR HANDLING
       The instructions in this section provide read and write access to the error status ER of the machine.

       ier_push
              This instruction pushes a copy of the current error status ER on the error stack ES.

       ier_clear
              This instruction clears the error status ER.

       ier_nonterminal message
              This  instruction  checks if the error status ER contains an error whose location is just past the
              location found in the top entry of the location stack LS.  Nothing happens if  no  such  error  is
              found.   Otherwise  the  found  error  is replaced by an error at the location found on the stack,
              having the message message.

       ier_merge
              This instruction pops an entry from the error stack ES, merges it with the current error status ER
              and stores the result of the merge as the new error status ER.

              The merge is performed as described below:

              If  one of the two error states is empty the other is chosen. If neither error state is empty, and
              refering to different locations, then the error state with the location further in  the  input  is
              chosen.  If  both error states refer to the same location their messages are merged (with removing
              duplicates).

   SEMANTIC VALUES
       The instructions in this section manipulate the semantic value SV.

       isv_clear
              This instruction clears the semantic value SV.

       isv_terminal
              This instruction creates a terminal AST node for the current token CT, makes it the semantic value
              SV, and also pushes the node on the AST stack AS.

       isv_nonterminal_leaf nt
              This  instruction  creates a nonterminal AST node without any children for the nonterminal nt, and
              makes it the semantic value SV.

              This instruction should be executed if, and only if the match status OK indicates a  success.   In
              the case of a failure isv_clear should be called.

       isv_nonterminal_range nt
              This  instruction  creates  a  nonterminal AST node for the nonterminal nt, with a single terminal
              node as its child, and makes this AST the semantic value SV. The terminal node refers to the input
              string  from  the  location found on top of the location stack LS to the current location CL (both
              inclusive).

              This instruction should be executed if, and only if the match status OK indicates a  success.   In
              the case of a failure isv_clear should be called.

       isv_nonterminal_reduce nt
              This  instruction  creates a nonterminal AST node for the nonterminal nt and makes it the semantic
              value SV.

              All entries on the AST stack AS above the marker found in the top entry of the AST Marker stack MS
              become  children of the new node, with the entry at the stack top becoming the rightmost child. If
              the AST Marker stack MS is empty the whole stack  is  used.  The  AST  marker  stack  MS  is  left
              unchanged.

              This  instruction  should be executed if, and only if the match status OK indicates a success.  In
              the case of a failure isv_clear should be called.

   AST STACK HANDLING
       The instructions in this section manipulate the AST stack AS, and the AST Marker stack MS.

       ias_push
              This instruction pushes the semantic value SV on the AST stack AS.

       ias_mark
              This instruction pushes a marker for the current state of the AST stack AS on the AST Marker stack
              MS.

       ias_mrewind
              This  instruction pops an entry from the AST Marker stack MS and then proceeds to pop entries from
              the AST stack AS until the state represented by the popped marker has been reached again.  Nothing
              is done if the AST stack AS is already smaller than indicated by the popped marker.

       ias_mpop
              This instruction pops an entry from the AST Marker stack MS and discards it.

BUGS, IDEAS, FEEDBACK

       This  document,  and  the package it describes, will undoubtedly contain bugs and other problems.  Please
       report such in the category grammar_me of  the  Tcllib  Trackers  [http://core.tcl.tk/tcllib/reportlist].
       Please also report any ideas for enhancements you may have for either package and/or documentation.

       When proposing code changes, please provide unified diffs, i.e the output of diff -u.

       Note  further  that  attachments  are strongly preferred over inlined patches. Attachments can be made by
       going to the Edit form of the ticket immediately after its creation, and then using the left-most  button
       in the secondary navigation bar.

KEYWORDS

       grammar, parsing, virtual machine

CATEGORY

       Grammars and finite automata

       Copyright (c) 2005 Andreas Kupries <andreas_kupries@users.sourceforge.net>