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NAME

       perlreguts - Description of the Perl regular expression engine.

DESCRIPTION

       This document is an attempt to shine some light on the guts of the regex engine and how it
       works. The regex engine represents a significant chunk of the perl codebase, but is
       relatively poorly understood. This document is a meagre attempt at addressing this
       situation. It is derived from the author's experience, comments in the source code, other
       papers on the regex engine, feedback on the perl5-porters mail list, and no doubt other
       places as well.

       NOTICE! It should be clearly understood that the behavior and structures discussed in this
       represents the state of the engine as the author understood it at the time of writing. It
       is NOT an API definition, it is purely an internals guide for those who want to hack the
       regex engine, or understand how the regex engine works. Readers of this document are
       expected to understand perl's regex syntax and its usage in detail. If you want to learn
       about the basics of Perl's regular expressions, see perlre. And if you want to replace the
       regex engine with your own, see perlreapi.

OVERVIEW

   A quick note on terms
       There is some debate as to whether to say "regexp" or "regex". In this document we will
       use the term "regex" unless there is a special reason not to, in which case we will
       explain why.

       When speaking about regexes we need to distinguish between their source code form and
       their internal form. In this document we will use the term "pattern" when we speak of
       their textual, source code form, and the term "program" when we speak of their internal
       representation. These correspond to the terms S-regex and B-regex that Mark Jason Dominus
       employs in his paper on "Rx" ([1] in "REFERENCES").

   What is a regular expression engine?
       A regular expression engine is a program that takes a set of constraints specified in a
       mini-language, and then applies those constraints to a target string, and determines
       whether or not the string satisfies the constraints. See perlre for a full definition of
       the language.

       In less grandiose terms, the first part of the job is to turn a pattern into something the
       computer can efficiently use to find the matching point in the string, and the second part
       is performing the search itself.

       To do this we need to produce a program by parsing the text. We then need to execute the
       program to find the point in the string that matches. And we need to do the whole thing
       efficiently.

   Structure of a Regexp Program
       High Level

       Although it is a bit confusing and some people object to the terminology, it is worth
       taking a look at a comment that has been in regexp.h for years:

       This is essentially a linear encoding of a nondeterministic finite-state machine (aka
       syntax charts or "railroad normal form" in parsing technology).

       The term "railroad normal form" is a bit esoteric, with "syntax diagram/charts", or
       "railroad diagram/charts" being more common terms.  Nevertheless it provides a useful
       mental image of a regex program: each node can be thought of as a unit of track, with a
       single entry and in most cases a single exit point (there are pieces of track that fork,
       but statistically not many), and the whole forms a layout with a single entry and single
       exit point. The matching process can be thought of as a car that moves along the track,
       with the particular route through the system being determined by the character read at
       each possible connector point. A car can fall off the track at any point but it may only
       proceed as long as it matches the track.

       Thus the pattern "/foo(?:\w+|\d+|\s+)bar/" can be thought of as the following chart:

                             [start]
                                |
                              <foo>
                                |
                          +-----+-----+
                          |     |     |
                        <\w+> <\d+> <\s+>
                          |     |     |
                          +-----+-----+
                                |
                              <bar>
                                |
                              [end]

       The truth of the matter is that perl's regular expressions these days are much more
       complex than this kind of structure, but visualising it this way can help when trying to
       get your bearings, and it matches the current implementation pretty closely.

       To be more precise, we will say that a regex program is an encoding of a graph. Each node
       in the graph corresponds to part of the original regex pattern, such as a literal string
       or a branch, and has a pointer to the nodes representing the next component to be matched.
       Since "node" and "opcode" already have other meanings in the perl source, we will call the
       nodes in a regex program "regops".

       The program is represented by an array of "regnode" structures, one or more of which
       represent a single regop of the program. Struct "regnode" is the smallest struct needed,
       and has a field structure which is shared with all the other larger structures.  (Outside
       this document, the term "regnode" is sometimes used to mean "regop", which could be
       confusing.)

       The "next" pointers of all regops except "BRANCH" implement concatenation; a "next"
       pointer with a "BRANCH" on both ends of it is connecting two alternatives.  [Here we have
       one of the subtle syntax dependencies: an individual "BRANCH" (as opposed to a collection
       of them) is never concatenated with anything because of operator precedence.]

       The operand of some types of regop is a literal string; for others, it is a regop leading
       into a sub-program.  In particular, the operand of a "BRANCH" node is the first regop of
       the branch.

       NOTE: As the railroad metaphor suggests, this is not a tree structure:  the tail of the
       branch connects to the thing following the set of "BRANCH"es.  It is a like a single line
       of railway track that splits as it goes into a station or railway yard and rejoins as it
       comes out the other side.

       Regops

       The base structure of a regop is defined in regexp.h as follows:

           struct regnode {
               U8  flags;    /* Various purposes, sometimes overridden */
               U8  type;     /* Opcode value as specified by regnodes.h */
               U16 next_off; /* Offset in size regnode */
           };

       Other larger "regnode"-like structures are defined in regcomp.h. They are almost like
       subclasses in that they have the same fields as "regnode", with possibly additional fields
       following in the structure, and in some cases the specific meaning (and name) of some of
       base fields are overridden. The following is a more complete description.

       "regnode_1"
       "regnode_2"
           "regnode_1" structures have the same header, followed by a single four-byte argument;
           "regnode_2" structures contain two two-byte arguments instead:

               regnode_1                U32 arg1;
               regnode_2                U16 arg1;  U16 arg2;

       "regnode_string"
           "regnode_string" structures, used for literal strings, follow the header with a one-
           byte length and then the string data. Strings are padded on the tail end with zero
           bytes so that the total length of the node is a multiple of four bytes:

               regnode_string           char string[1];
                                        U8 str_len; /* overrides flags */

       "regnode_charclass"
           Bracketed character classes are represented by "regnode_charclass" structures, which
           have a four-byte argument and then a 32-byte (256-bit) bitmap indicating which
           characters in the Latin1 range are included in the class.

               regnode_charclass        U32 arg1;
                                        char bitmap[ANYOF_BITMAP_SIZE];

           Various flags whose names begin with "ANYOF_" are used for special situations.  Above
           Latin1 matches and things not known until run-time are stored in "Perl's pprivate
           structure".

       "regnode_charclass_posixl"
           There is also a larger form of a char class structure used to represent POSIX char
           classes under "/l" matching, called "regnode_charclass_posixl" which has an additional
           32-bit bitmap indicating which POSIX char classes have been included.

              regnode_charclass_posixl U32 arg1;
                                       char bitmap[ANYOF_BITMAP_SIZE];
                                       U32 classflags;

       regnodes.h defines an array called "PL_regnode_arg_len[]" which gives the size of each
       opcode in units of "size regnode" (4-byte). A macro is used to calculate the size of an
       "EXACT" node based on its "str_len" field.

       The regops are defined in regnodes.h which is generated from regcomp.sym by regcomp.pl.
       Currently the maximum possible number of distinct regops is restricted to 256, with about
       a quarter already used.

       A set of macros makes accessing the fields easier and more consistent. These include OP(),
       which is used to determine the type of a "regnode"-like structure; NEXT_OFF(), which is
       the offset to the next node (more on this later); ARG(), ARG1(), ARG2(), ARG_SET(), and
       equivalents for reading and setting the arguments; and STR_LEN(), STRING() and OPERAND()
       for manipulating strings and regop bearing types.

       What regnode is next?

       There are two distinct concepts of "next regnode" in the regex engine, and it is important
       to keep them distinct in your thinking as they overlap conceptually in many places, but
       where they don't overlap the difference is critical. For the majority of regnode types the
       two concepts are (nearly) identical in practice. The two types are "REGNODE_AFTER" which
       is used heavily during compilation but only occasionally during execution and "regnext"
       which is used heavily during execution, and only occasionally during compilation.

       "REGNODE_AFTER"
           This is the "positionally next regnode" in the compiled regex program.  For the
           smaller regnode types it is "regnode_ptr+1" under the hood, but as regnode sizes vary
           and can change over time we offer macros which hide the gory details.

           It is heavily used in the compiler phase but is only used by a few select regnode
           types in the execution phase. It is also heavily used in the code for dumping the
           regexp program for debugging.

           There are a selection of macros which can be used to compute this as efficiently as
           possible depending on the circumstances. The canonical macro is REGNODE_AFTER(), which
           is the most powerful and should handle any case we have, but is also potentially the
           slowest. There are two additional macros for the special case that you KNOW the
           current regnode size is constant, and you know its type or opcode. In which case you
           can use REGNODE_AFTER_opcode() or REGNODE_AFTER_type().

           In older versions of the regex engine REGNODE_AFTER() was called "NEXTOPER" but this
           was found to be confusing and it was renamed. There is also a REGNODE_BEFORE(), but it
           is unsafe and should not be used in new code.

       "regnext"
           This is the regnode which can be reached by jumping forward by the value of the
           NEXT_OFF() member of the regnode, or in a few cases for longer jumps by the "arg1"
           field of the "regnode_1" structure. The subroutine regnext() handles this
           transparently. In the majority of cases the "regnext" for a regnode is the regnode
           which should be executed after the current one has successfully matched, but in some
           cases this may not be true. In loop control and branch control regnode types the
           regnext may signify something special, for BRANCH nodes "regnext" is the next BRANCH
           that should be executed if the current one fails execution, and some loop control
           regnodes set the regnext to be the end of the loop so they can jump to their cleanup
           if the current iteration fails to match.

       Most regnode types do not create a branch in the execution flow, and leaving aside
       optimizations the two concepts of "next" are the same.  For instance the "regnext" and
       "REGNODE_AFTER" of a SBOL opcode are the same during compilation phase. The main place
       this is not true is "BRANCH" regnodes where the "REGNODE_AFTER" represents the start of
       the pattern in the branch and the "regnext" represents the linkage to the next BRANCH
       should this one fail to match, or 0 if it is the last branch. The looping logic for
       quantifiers also makes similar use of the distinction between the two types, with
       "REGNODE_AFTER" being the inside of the loop construct, and the "regnext" pointing at the
       end of the loop.

       During compilation the engine may not know what the regnext is for a given node, so during
       compilation "regnext" is only used where it must be used and is known to be correct. At
       the very end of the compilation phase we walk the regex program and correct the regnext
       data as appropriate, and also perform various optimizations which may result in regnodes
       that were required during construction becoming redundant, or we may replace a large
       regnode with a much smaller one and filling in the gap with OPTIMIZED regnodes. Thus we
       might start with something like this:

           BRANCH
             EXACT "foo"
           BRANCH
             EXACT "bar"
           EXACT "!"

       and replace it with something like:

           TRIE foo|bar
           OPTIMIZED
           OPTIMIZED
           OPTIMIZED
           EXACT "!"

       the "REGNODE_AFTER" for the "TRIE" node would be an "OPTIMIZED" regnode, and in theory the
       "regnext" would be the same as the "REGNODE_AFTER". But it would be inefficient to execute
       the OPTIMIZED regnode as a noop three times, so the optimizer fixes the "regnext" so such
       nodes are skipped during execution phase.

       During execution phases we use the regnext() almost exclusively, and only use
       "REGNODE_AFTER" in special cases where it has a well defined meaning for a given regnode
       type. For instance /x+/ results in

           PLUS
               EXACT "x"
           END

       the "regnext" of the "PLUS" regnode is the "END" regnode, and the "REGNODE_AFTER" of the
       "PLUS" regnode is the "EXACT" regnode. The "regnext" and "REGNODE_AFTER" of the "EXACT"
       regnode is the "END" regnode.

Process Overview

       Broadly speaking, performing a match of a string against a pattern involves the following
       steps:

       A. Compilation
            1. Parsing
            2. Peep-hole optimisation and analysis
       B. Execution
            3. Start position and no-match optimisations
            4. Program execution

       Where these steps occur in the actual execution of a perl program is determined by whether
       the pattern involves interpolating any string variables. If interpolation occurs, then
       compilation happens at run time. If it does not, then compilation is performed at compile
       time. (The "/o" modifier changes this, as does "qr//" to a certain extent.) The engine
       doesn't really care that much.

   Compilation
       This code resides primarily in regcomp.c, along with the header files regcomp.h, regexp.h
       and regnodes.h.

       Compilation starts with pregcomp(), which is mostly an initialisation wrapper which farms
       work out to two other routines for the heavy lifting: the first is reg(), which is the
       start point for parsing; the second, study_chunk(), is responsible for optimisation.

       Initialisation in pregcomp() mostly involves the creation and data-filling of a special
       structure, "RExC_state_t" (defined in regcomp.c).  Almost all internally-used routines in
       regcomp.h take a pointer to one of these structures as their first argument, with the name
       "pRExC_state".  This structure is used to store the compilation state and contains many
       fields. Likewise there are many macros which operate on this variable: anything that looks
       like "RExC_xxxx" is a macro that operates on this pointer/structure.

       reg() is the start of the parse process. It is responsible for parsing an arbitrary chunk
       of pattern up to either the end of the string, or the first closing parenthesis it
       encounters in the pattern.  This means it can be used to parse the top-level regex, or any
       section inside of a grouping parenthesis. It also handles the "special parens" that perl's
       regexes have. For instance when parsing "/x(?:foo)y/", reg() will at one point be called
       to parse from the "?" symbol up to and including the ")".

       Additionally, reg() is responsible for parsing the one or more branches from the pattern,
       and for "finishing them off" by correctly setting their next pointers. In order to do the
       parsing, it repeatedly calls out to regbranch(), which is responsible for handling up to
       the first "|" symbol it sees.

       regbranch() in turn calls regpiece() which handles "things" followed by a quantifier. In
       order to parse the "things", regatom() is called. This is the lowest level routine, which
       parses out constant strings, character classes, and the various special symbols like "$".
       If regatom() encounters a "(" character it in turn calls reg().

       There used to be two main passes involved in parsing, the first to calculate the size of
       the compiled program, and the second to actually compile it.  But now there is only one
       main pass, with an initial crude guess based on the length of the input pattern, which is
       increased if necessary as parsing proceeds, and afterwards, trimmed to the actual amount
       used.

       However, it may happen that parsing must be restarted at the beginning when various
       circumstances occur along the way.  An example is if the program turns out to be so large
       that there are jumps in it that won't fit in the normal 16 bits available.  There are two
       special regops that can hold bigger jump destinations, BRANCHJ and LONGBRANCH.  The parse
       is restarted, and these are used instead of the normal shorter ones.  Whenever restarting
       the parse is required, the function returns failure and sets a flag as to what needs to be
       done.  This is passed up to the top level routine which takes the appropriate action and
       restarts from scratch.  In the case of needing longer jumps, the "RExC_use_BRANCHJ" flag
       is set in the "RExC_state_t" structure, which the functions know to inspect before
       deciding how to do branches.

       In most instances, the function that discovers the issue sets the causal flag and returns
       failure immediately.  "Parsing complications" contains an explicit example of how this
       works.  In other cases, such as a forward reference to a numbered parenthetical grouping,
       we need to finish the parse to know if that numbered grouping actually appears in the
       pattern.  In those cases, the parse is just redone at the end, with the knowledge of how
       many groupings occur in it.

       The routine regtail() is called by both reg() and regbranch() in order to "set the tail
       pointer" correctly. When executing and we get to the end of a branch, we need to go to the
       node following the grouping parens. When parsing, however, we don't know where the end
       will be until we get there, so when we do we must go back and update the offsets as
       appropriate. "regtail" is used to make this easier.

       A subtlety of the parsing process means that a regex like "/foo/" is originally parsed
       into an alternation with a single branch. It is only afterwards that the optimiser
       converts single branch alternations into the simpler form.

       Parse Call Graph and a Grammar

       The call graph looks like this:

        reg()                        # parse a top level regex, or inside of
                                     # parens
            regbranch()              # parse a single branch of an alternation
                regpiece()           # parse a pattern followed by a quantifier
                    regatom()        # parse a simple pattern
                        regclass()   #   used to handle a class
                        reg()        #   used to handle a parenthesised
                                     #   subpattern
                        ....
                ...
                regtail()            # finish off the branch
            ...
            regtail()                # finish off the branch sequence. Tie each
                                     # branch's tail to the tail of the
                                     # sequence
                                     # (NEW) In Debug mode this is
                                     # regtail_study().

       A grammar form might be something like this:

           atom  : constant | class
           quant : '*' | '+' | '?' | '{min,max}'
           _branch: piece
                  | piece _branch
                  | nothing
           branch: _branch
                 | _branch '|' branch
           group : '(' branch ')'
           _piece: atom | group
           piece : _piece
                 | _piece quant

       Parsing complications

       The implication of the above description is that a pattern containing nested parentheses
       will result in a call graph which cycles through reg(), regbranch(), regpiece(),
       regatom(), reg(), regbranch() etc multiple times, until the deepest level of nesting is
       reached. All the above routines return a pointer to a "regnode", which is usually the last
       regnode added to the program. However, one complication is that reg() returns NULL for
       parsing "(?:)" syntax for embedded modifiers, setting the flag "TRYAGAIN". The "TRYAGAIN"
       propagates upwards until it is captured, in some cases by regatom(), but otherwise
       unconditionally by regbranch(). Hence it will never be returned by regbranch() to reg().
       This flag permits patterns such as "(?i)+" to be detected as errors (Quantifier follows
       nothing in regex; marked by <-- HERE in m/(?i)+ <-- HERE /).

       Another complication is that the representation used for the program differs if it needs
       to store Unicode, but it's not always possible to know for sure whether it does until
       midway through parsing. The Unicode representation for the program is larger, and cannot
       be matched as efficiently. (See "Unicode and Localisation Support" below for more details
       as to why.)  If the pattern contains literal Unicode, it's obvious that the program needs
       to store Unicode. Otherwise, the parser optimistically assumes that the more efficient
       representation can be used, and starts sizing on this basis.  However, if it then
       encounters something in the pattern which must be stored as Unicode, such as an "\x{...}"
       escape sequence representing a character literal, then this means that all previously
       calculated sizes need to be redone, using values appropriate for the Unicode
       representation.  This is another instance where the parsing needs to be restarted, and it
       can and is done immediately.  The function returns failure, and sets the flag
       "RESTART_UTF8" (encapsulated by using the macro "REQUIRE_UTF8").  This restart request is
       propagated up the call chain in a similar fashion, until it is "caught" in
       Perl_re_op_compile(), which marks the pattern as containing Unicode, and restarts the
       sizing pass. It is also possible for constructions within run-time code blocks to turn out
       to need Unicode representation., which is signalled by S_compile_runtime_code() returning
       false to Perl_re_op_compile().

       The restart was previously implemented using a "longjmp" in regatom() back to a "setjmp"
       in Perl_re_op_compile(), but this proved to be problematic as the latter is a large
       function containing many automatic variables, which interact badly with the emergent
       control flow of "setjmp".

       Debug Output

       Starting in the 5.9.x development version of perl you can "use re Debug => 'PARSE'" to see
       some trace information about the parse process. We will start with some simple patterns
       and build up to more complex patterns.

       So when we parse "/foo/" we see something like the following table. The left shows what is
       being parsed, and the number indicates where the next regop would go. The stuff on the
       right is the trace output of the graph. The names are chosen to be short to make it less
       dense on the screen. 'tsdy' is a special form of regtail() which does some extra analysis.

        >foo<             1    reg
                                 brnc
                                   piec
                                     atom
        ><                4      tsdy~ EXACT <foo> (EXACT) (1)
                                     ~ attach to END (3) offset to 2

       The resulting program then looks like:

          1: EXACT <foo>(3)
          3: END(0)

       As you can see, even though we parsed out a branch and a piece, it was ultimately only an
       atom. The final program shows us how things work. We have an "EXACT" regop, followed by an
       "END" regop. The number in parens indicates where the "regnext" of the node goes. The
       "regnext" of an "END" regop is unused, as "END" regops mean we have successfully matched.
       The number on the left indicates the position of the regop in the regnode array.

       Now let's try a harder pattern. We will add a quantifier, so now we have the pattern
       "/foo+/". We will see that regbranch() calls regpiece() twice.

        >foo+<            1    reg
                                 brnc
                                   piec
                                     atom
        >o+<              3        piec
                                     atom
        ><                6        tail~ EXACT <fo> (1)
                          7      tsdy~ EXACT <fo> (EXACT) (1)
                                     ~ PLUS (END) (3)
                                     ~ attach to END (6) offset to 3

       And we end up with the program:

          1: EXACT <fo>(3)
          3: PLUS(6)
          4:   EXACT <o>(0)
          6: END(0)

       Now we have a special case. The "EXACT" regop has a "regnext" of 0. This is because if it
       matches it should try to match itself again. The "PLUS" regop handles the actual failure
       of the "EXACT" regop and acts appropriately (going to regnode 6 if the "EXACT" matched at
       least once, or failing if it didn't).

       Now for something much more complex: "/x(?:foo*|b[a][rR])(foo|bar)$/"

        >x(?:foo*|b...    1    reg
                                 brnc
                                   piec
                                     atom
        >(?:foo*|b[...    3        piec
                                     atom
        >?:foo*|b[a...                 reg
        >foo*|b[a][...                   brnc
                                           piec
                                             atom
        >o*|b[a][rR...    5                piec
                                             atom
        >|b[a][rR])...    8                tail~ EXACT <fo> (3)
        >b[a][rR])(...    9              brnc
                         10                piec
                                             atom
        >[a][rR])(f...   12                piec
                                             atom
        >a][rR])(fo...                         clas
        >[rR])(foo|...   14                tail~ EXACT <b> (10)
                                           piec
                                             atom
        >rR])(foo|b...                         clas
        >)(foo|bar)...   25                tail~ EXACT <a> (12)
                                         tail~ BRANCH (3)
                         26              tsdy~ BRANCH (END) (9)
                                             ~ attach to TAIL (25) offset to 16
                                         tsdy~ EXACT <fo> (EXACT) (4)
                                             ~ STAR (END) (6)
                                             ~ attach to TAIL (25) offset to 19
                                         tsdy~ EXACT <b> (EXACT) (10)
                                             ~ EXACT <a> (EXACT) (12)
                                             ~ ANYOF[Rr] (END) (14)
                                             ~ attach to TAIL (25) offset to 11
        >(foo|bar)$<               tail~ EXACT <x> (1)
                                   piec
                                     atom
        >foo|bar)$<                    reg
                         28              brnc
                                           piec
                                             atom
        >|bar)$<         31              tail~ OPEN1 (26)
        >bar)$<                          brnc
                         32                piec
                                             atom
        >)$<             34              tail~ BRANCH (28)
                         36              tsdy~ BRANCH (END) (31)
                                            ~ attach to CLOSE1 (34) offset to 3
                                         tsdy~ EXACT <foo> (EXACT) (29)
                                            ~ attach to CLOSE1 (34) offset to 5
                                         tsdy~ EXACT <bar> (EXACT) (32)
                                            ~ attach to CLOSE1 (34) offset to 2
        >$<                        tail~ BRANCH (3)
                                       ~ BRANCH (9)
                                       ~ TAIL (25)
                                   piec
                                     atom
        ><               37        tail~ OPEN1 (26)
                                       ~ BRANCH (28)
                                       ~ BRANCH (31)
                                       ~ CLOSE1 (34)
                         38      tsdy~ EXACT <x> (EXACT) (1)
                                     ~ BRANCH (END) (3)
                                     ~ BRANCH (END) (9)
                                     ~ TAIL (END) (25)
                                     ~ OPEN1 (END) (26)
                                     ~ BRANCH (END) (28)
                                     ~ BRANCH (END) (31)
                                     ~ CLOSE1 (END) (34)
                                     ~ EOL (END) (36)
                                     ~ attach to END (37) offset to 1

       Resulting in the program

          1: EXACT <x>(3)
          3: BRANCH(9)
          4:   EXACT <fo>(6)
          6:   STAR(26)
          7:     EXACT <o>(0)
          9: BRANCH(25)
         10:   EXACT <ba>(14)
         12:   OPTIMIZED (2 nodes)
         14:   ANYOF[Rr](26)
         25: TAIL(26)
         26: OPEN1(28)
         28:   TRIE-EXACT(34)
               [StS:1 Wds:2 Cs:6 Uq:5 #Sts:7 Mn:3 Mx:3 Stcls:bf]
                 <foo>
                 <bar>
         30:   OPTIMIZED (4 nodes)
         34: CLOSE1(36)
         36: EOL(37)
         37: END(0)

       Here we can see a much more complex program, with various optimisations in play. At
       regnode 10 we see an example where a character class with only one character in it was
       turned into an "EXACT" node. We can also see where an entire alternation was turned into a
       "TRIE-EXACT" node. As a consequence, some of the regnodes have been marked as optimised
       away. We can see that the "$" symbol has been converted into an "EOL" regop, a special
       piece of code that looks for "\n" or the end of the string.

       The next pointer for "BRANCH"es is interesting in that it points at where execution should
       go if the branch fails. When executing, if the engine tries to traverse from a branch to a
       "regnext" that isn't a branch then the engine will know that the entire set of branches
       has failed.

       Peep-hole Optimisation and Analysis

       The regular expression engine can be a weighty tool to wield. On long strings and complex
       patterns it can end up having to do a lot of work to find a match, and even more to decide
       that no match is possible.  Consider a situation like the following pattern.

          'ababababababababababab' =~ /(a|b)*z/

       The "(a|b)*" part can match at every char in the string, and then fail every time because
       there is no "z" in the string. So obviously we can avoid using the regex engine unless
       there is a "z" in the string.  Likewise in a pattern like:

          /foo(\w+)bar/

       In this case we know that the string must contain a "foo" which must be followed by "bar".
       We can use Fast Boyer-Moore matching as implemented in fbm_instr() to find the location of
       these strings. If they don't exist then we don't need to resort to the much more expensive
       regex engine.  Even better, if they do exist then we can use their positions to reduce the
       search space that the regex engine needs to cover to determine if the entire pattern
       matches.

       There are various aspects of the pattern that can be used to facilitate optimisations
       along these lines:

       •    anchored fixed strings

       •    floating fixed strings

       •    minimum and maximum length requirements

       •    start class

       •    Beginning/End of line positions

       Another form of optimisation that can occur is the post-parse "peep-hole" optimisation,
       where inefficient constructs are replaced by more efficient constructs. The "TAIL" regops
       which are used during parsing to mark the end of branches and the end of groups are
       examples of this. These regops are used as place-holders during construction and "always
       match" so they can be "optimised away" by making the things that point to the "TAIL" point
       to the thing that "TAIL" points to, thus "skipping" the node.

       Another optimisation that can occur is that of ""EXACT" merging" which is where two
       consecutive "EXACT" nodes are merged into a single regop. An even more aggressive form of
       this is that a branch sequence of the form "EXACT BRANCH ... EXACT" can be converted into
       a "TRIE-EXACT" regop.

       All of this occurs in the routine study_chunk() which uses a special structure
       "scan_data_t" to store the analysis that it has performed, and does the "peep-hole"
       optimisations as it goes.

       The code involved in study_chunk() is extremely cryptic. Be careful. :-)

   Execution
       Execution of a regex generally involves two phases, the first being finding the start
       point in the string where we should match from, and the second being running the regop
       interpreter.

       If we can tell that there is no valid start point then we don't bother running the
       interpreter at all. Likewise, if we know from the analysis phase that we cannot detect a
       short-cut to the start position, we go straight to the interpreter.

       The two entry points are re_intuit_start() and pregexec(). These routines have a somewhat
       incestuous relationship with overlap between their functions, and pregexec() may even call
       re_intuit_start() on its own. Nevertheless other parts of the perl source code may call
       into either, or both.

       Execution of the interpreter itself used to be recursive, but thanks to the efforts of
       Dave Mitchell in the 5.9.x development track, that has changed: now an internal stack is
       maintained on the heap and the routine is fully iterative. This can make it tricky as the
       code is quite conservative about what state it stores, with the result that two
       consecutive lines in the code can actually be running in totally different contexts due to
       the simulated recursion.

       Start position and no-match optimisations

       re_intuit_start() is responsible for handling start points and no-match optimisations as
       determined by the results of the analysis done by study_chunk() (and described in "Peep-
       hole Optimisation and Analysis").

       The basic structure of this routine is to try to find the start- and/or end-points of
       where the pattern could match, and to ensure that the string is long enough to match the
       pattern. It tries to use more efficient methods over less efficient methods and may
       involve considerable cross-checking of constraints to find the place in the string that
       matches.  For instance it may try to determine that a given fixed string must be not only
       present but a certain number of chars before the end of the string, or whatever.

       It calls several other routines, such as fbm_instr() which does Fast Boyer Moore matching
       and find_byclass() which is responsible for finding the start using the first mandatory
       regop in the program.

       When the optimisation criteria have been satisfied, reg_try() is called to perform the
       match.

       Program execution

       pregexec() is the main entry point for running a regex. It contains support for
       initialising the regex interpreter's state, running re_intuit_start() if needed, and
       running the interpreter on the string from various start positions as needed. When it is
       necessary to use the regex interpreter pregexec() calls regtry().

       regtry() is the entry point into the regex interpreter. It expects as arguments a pointer
       to a "regmatch_info" structure and a pointer to a string.  It returns an integer 1 for
       success and a 0 for failure.  It is basically a set-up wrapper around regmatch().

       "regmatch" is the main "recursive loop" of the interpreter. It is basically a giant switch
       statement that implements a state machine, where the possible states are the regops
       themselves, plus a number of additional intermediate and failure states. A few of the
       states are implemented as subroutines but the bulk are inline code.

MISCELLANEOUS

   Unicode and Localisation Support
       When dealing with strings containing characters that cannot be represented using an eight-
       bit character set, perl uses an internal representation that is a permissive version of
       Unicode's UTF-8 encoding[2]. This uses single bytes to represent characters from the ASCII
       character set, and sequences of two or more bytes for all other characters. (See
       perlunitut for more information about the relationship between UTF-8 and perl's encoding,
       utf8. The difference isn't important for this discussion.)

       No matter how you look at it, Unicode support is going to be a pain in a regex engine.
       Tricks that might be fine when you have 256 possible characters often won't scale to
       handle the size of the UTF-8 character set.  Things you can take for granted with ASCII
       may not be true with Unicode. For instance, in ASCII, it is safe to assume that
       "sizeof(char1) == sizeof(char2)", but in UTF-8 it isn't. Unicode case folding is vastly
       more complex than the simple rules of ASCII, and even when not using Unicode but only
       localised single byte encodings, things can get tricky (for example, LATIN SMALL LETTER
       SHARP S (U+00DF, ß) should match 'SS' in localised case-insensitive matching).

       Making things worse is that UTF-8 support was a later addition to the regex engine (as it
       was to perl) and this necessarily  made things a lot more complicated. Obviously it is
       easier to design a regex engine with Unicode support in mind from the beginning than it is
       to retrofit it to one that wasn't.

       Nearly all regops that involve looking at the input string have two cases, one for UTF-8,
       and one not. In fact, it's often more complex than that, as the pattern may be UTF-8 as
       well.

       Care must be taken when making changes to make sure that you handle UTF-8 properly, both
       at compile time and at execution time, including when the string and pattern are
       mismatched.

   Base Structures
       The "regexp" structure described in perlreapi is common to all regex engines. Two of its
       fields are intended for the private use of the regex engine that compiled the pattern.
       These are the "intflags" and pprivate members. The "pprivate" is a void pointer to an
       arbitrary structure whose use and management is the responsibility of the compiling
       engine. perl will never modify either of these values. In the case of the stock engine the
       structure pointed to by "pprivate" is called "regexp_internal".

       Its "pprivate" and "intflags" fields contain data specific to each engine.

       There are two structures used to store a compiled regular expression.  One, the "regexp"
       structure described in perlreapi is populated by the engine currently being used and some
       of its fields read by perl to implement things such as the stringification of "qr//".

       The other structure is pointed to by the "regexp" struct's "pprivate" and is in addition
       to "intflags" in the same struct considered to be the property of the regex engine which
       compiled the regular expression;

       The regexp structure contains all the data that perl needs to be aware of to properly work
       with the regular expression. It includes data about optimisations that perl can use to
       determine if the regex engine should really be used, and various other control info that
       is needed to properly execute patterns in various contexts such as is the pattern anchored
       in some way, or what flags were used during the compile, or whether the program contains
       special constructs that perl needs to be aware of.

       In addition it contains two fields that are intended for the private use of the regex
       engine that compiled the pattern. These are the "intflags" and pprivate members. The
       "pprivate" is a void pointer to an arbitrary structure whose use and management is the
       responsibility of the compiling engine. perl will never modify either of these values.

       As mentioned earlier, in the case of the default engines, the "pprivate" will be a pointer
       to a regexp_internal structure which holds the compiled program and any additional data
       that is private to the regex engine implementation.

       Perl's "pprivate" structure

       The following structure is used as the "pprivate" struct by perl's regex engine. Since it
       is specific to perl it is only of curiosity value to other engine implementations.

           typedef struct regexp_internal {
               regnode *regstclass;
               struct reg_data *data;
               struct reg_code_blocks *code_blocks;
               U32 proglen;
               U32 name_list_idx;
               regnode program[1];
           } regexp_internal;

       Description of the attributes is as follows:

       "regstclass"
            Special regop that is used by re_intuit_start() to check if a pattern can match at a
            certain position. For instance if the regex engine knows that the pattern must start
            with a 'Z' then it can scan the string until it finds one and then launch the regex
            engine from there. The routine that handles this is called find_by_class(). Sometimes
            this field points at a regop embedded in the program, and sometimes it points at an
            independent synthetic regop that has been constructed by the optimiser.

       "data"
            This field points at a "reg_data" structure, which is defined as follows

                struct reg_data {
                    U32 count;
                    U8 *what;
                    void* data[1];
                };

            This structure is used for handling data structures that the regex engine needs to
            handle specially during a clone or free operation on the compiled product. Each
            element in the data array has a corresponding element in the what array. During
            compilation regops that need special structures stored will add an element to each
            array using the add_data() routine and then store the index in the regop.

            In modern perls the 0th element of this structure is reserved and is NEVER used to
            store anything of use. This is to allow things that need to index into this array to
            represent "no value".

       "code_blocks"
            This optional structure is used to manage "(?{})" constructs in the pattern.  It is
            made up of the following structures.

                /* record the position of a (?{...}) within a pattern */
                struct reg_code_block {
                    STRLEN start;
                    STRLEN end;
                    OP     *block;
                    REGEXP *src_regex;
                };

                /* array of reg_code_block's plus header info */
                struct reg_code_blocks {
                    int refcnt; /* we may be pointed to from a regex
                                   and from the savestack */
                    int  count; /* how many code blocks */
                    struct reg_code_block *cb; /* array of reg_code_block's */
                };

       "proglen"
            Stores the length of the compiled program in units of regops.

       "name_list_idx"
            This is the index into the data array where an AV is stored that contains the names
            of any named capture buffers in the pattern, should there be any. This is only used
            in the debugging version of the regex engine and when RXp_PAREN_NAMES(prog) is true.
            It will be 0 if there is no such data.

       "program"
            Compiled program. Inlined into the structure so the entire struct can be treated as a
            single blob.

SEE ALSO

       perlreapi

       perlre

       perlunitut

AUTHOR

       by Yves Orton, 2006.

       With excerpts from Perl, and contributions and suggestions from Ronald J. Kimball, Dave
       Mitchell, Dominic Dunlop, Mark Jason Dominus, Stephen McCamant, and David Landgren.

       Now maintained by Perl 5 Porters.

LICENCE

       Same terms as Perl.

REFERENCES

       [1] <https://perl.plover.com/Rx/paper/>

       [2] <https://www.unicode.org/>