SWI-Prolog Regular Expression library
Jan Wielemaker
VU University Amsterdam
The Netherlands
E-mail: J.Wielemaker@vu.nl
Abstract
The library `library(pcre)` provides access to Perl Compatible Regular Expressions.

# Table of Contents

## 1 Motivation

The core facility for string matching in Prolog is provided by DCG (Definite Clause Grammars). Using DCGs is typically more verbose but gives reuse, modularity, readability and mixing with arbitrary Prolog code in return. Supporting regular expressions has some advantages: (1) in simple cases, the terse specification of a regular expression is more comfortable; (2) many programmers are familar with them; and (3) regular expressions are part of domain specific languages one may wish to implement in Prolog, e.g., SPARQL.

There are roughly three options for adding regular expressions to Prolog. One is to simply interpret them in Prolog. Given Prolog's unification and backtracking facilities this is remarkable simple and performs quite reasonable. Still, implementing all facilities of modern regular expression engines requires significant effort. Alternatively, we can compile them into DCGs. This brings terse expressions to DCGs while staying in the same framework. The disadvantage is that regular expressions become programs that are hard to reclaim, making this approach less attractive for applications that potentially execute many different regular expressions. The final option is to wrap an existing regular expression engine. This provides access to a robust implementation for which we only have to document the Prolog binding. That is the option taken by library `library(pcre)`.

## 2 library(pcre): Perl compatible regular expression matching for SWI-Prolog

See also
  ‘man pcre2api` or https://www.pcre.org/current/doc/html/pcre2api.html for details of the PCRE2 syntax and options.

This module provides an interface to the PCRE2 (Perl Compatible Regular Expression) library. This Prolog interface provides an almost comprehensive wrapper around PCRE2 (the successor to PCRE) with as much backward compatibility to PCRE as possible, because the original implementation was for PCRE (also known as PCRE1).

Regular expressions are created from a pattern and options and represented as a SWI-Prolog blob. This implies they are subject to (atom) garbage collection. Compiled regular expressions can safely be used in multiple threads. Most predicates accept both an explicitly compiled regular expression, a pattern, or a term Pattern/Flags. The semantics of the pattern can be additionally modified by options. In the latter two cases a regular expression blob is created and stored in a cache. The cache can be cleared using re_flush/0.

[semidet]re_match(+Regex, +String)
[semidet]re_match(+Regex, +String, +Options)
  Succeeds if String matches Regex. For example:

      ?- re_match("^needle"/i, "Needle in a haystack").
      true.

  Defined Options are given below. For details, see the PCRE documentation. If an option is repeated, the first value is used and subsequent values are ignored. Unrecognized options are ignored. Unless otherwise specified, boolean options default to `false`.

  If Regex is a text pattern (optionally with flags), then any of the Options for re_compile/3 can be used, in addition to the Options listed below. If Regex is the result of re_compile/3, then only the following execution-time Options are recognized and any others are ignored. Some options may not exist on your system, depending on the PCRE2 version and how it was built - these unsupported options are silently ignored.

  - `start(From)` Start at the given character index
  - `anchored(Bool)` If `true`, match only at the first position
  - `bol(Bool)` String is the beginning of a line (default `true`) - affects behavior of circumflex metacharacter (`^`).
  - `empty(Bool)` An empty string is a valid match (default `true`)
  - `empty_atstart(Bool)` An empty string at the start of the subject is a valid match (default `true`)
  - `eol(Bool)` String is the end of a line - affects behavior of dollar metacharacter (`$`) (default `true`).
  - `newline(Mode)` If `any`, recognize any Unicode newline sequence, if `anycrlf`, recognize CR, LF, and CRLF as newline sequences, if `cr`, recognize CR, if `lf`, recognize LF, if `crlf` recognize CRLF as newline. The default is determined by how PCRE was built, and can be found by `re_config(newline2(NewlineDefault))`.
  - `newline2(Mode)` - synonym for `newline(Mode)`.
  - `utf_check(Bool)` - see PCRE2 API documentation You should not need this because SWI-Prolog ensures that the UTF8 strings are valid, so the default is `false`.
  - `endanchored(Bool)` - see PCRE2 API documentation
  - `partial_soft(Bool)` - see PCRE2 API documentation
  - `partial_hard(Bool)` - see PCRE2 API documentation
  - `dfa_restart(Bool)` - see PCRE2 API documentation
  - `dfa_shortest(Bool)` - see PCRE2 API documentation

  Regex

  is the output of re_compile/3, a pattern or a term Pattern/Flags, where Pattern is an atom or string. The defined flags and their related option for re_compile/3 are below.
  - x: `extended(true)`
  - i: `caseless(true)`
  - m: `multiline(true)`
  - s: `dotall(true)`
  - a: `capture_type(atom)`
  - r: `capture_type(range)`
  - t: `capture_type(term)`

  If Regex is the output of re_compile/3, any compile-time options in Options or Flags are ignored and only match-time options are used.

  The options that are derived from flags take precedence over the options in the Options list. In the case of conflicting flags, the first one is used (e.g., `ra` results in `capture_type(range)`).

[semidet]re_matchsub(+Regex, +String, -Sub:dict)
[semidet]re_matchsub(+Regex, +String, -Sub:dict, +Options)
  Match String against Regex. On success, Sub is a dict containing integer keys for the numbered capture group and atom keys for the named capture groups. The entire match string has the key `0`. The associated value is determined by the `capture_type(Type)` option passed to re_compile/3, or by flags if Regex is of the form Pattern/Flags; and may be specified at the level of individual captures using a naming convention for the caption name. See re_compile/3 for details.

  The example below exploits the typed groups to parse a date specification:

      ?- re_matchsub("(?<date> (?<year_I>(?:\\d\\d)?\\d\\d) -
                      (?<month_I>\\d\\d) - (?<day_I>\\d\\d) )"/x,
                     "2017-04-20", Sub, []).
      Sub = re_match{0:"2017-04-20", date:"2017-04-20",
                     day:20, month:4, year:2017}.

  Both | compilation and execution options are processed. See re_compile/3 and re_match/3 for the set of options. In addition, some compilation options may passed as `/Flags` to Regex - see re_match/3 for the list of flags.
  Regex | See re_match/2 for a description of this argument.

[semidet]re_foldl(:Goal, +Regex, +String, ?V0, ?V, +Options)
  Fold all matches of Regex on String. Each match is represented by a dict as specified for re_matchsub/4. V0 and V are related using a sequence of invocations of Goal as illustrated below.

      call(Goal, Dict1, V0, V1),
      call(Goal, Dict2, V1, V2),
      ...
      call(Goal, Dictn, Vn, V).

  This predicate is used to implement re_split/4 and re_replace/4. For example, we can count all matches of a Regex on String using this code:

      re_match_count(Regex, String, Count) :-
          re_foldl(increment, Regex, String, 0, Count, []).

      increment(_Match, V0, V1) :-
          V1 is V0+1.

  After which we can query

      ?- re_match_count("a", "aap", X).
      X = 2.

  Here is an example Goal for extracting all the matches with their offsets within the string:

      range_match(Dict, StringIndex-[MatchStart-Substring|List], StringIndex-List) :-
          Dict.(StringIndex.index) = MatchStart-MatchLen,
          sub_string(StringIndex.string, MatchStart, MatchLen, _, Substring).

  And can be used with this query (note the `capture_type(range)` option, which is needed by range_match/3, and `greedy(false)` to invert the meaning of `*?`):

      ?- String = "{START} Mary {END} had a {START} little lamb {END}",
         re_foldl(range_match,
                  "{START} *?(?<piece>.*) *?{END}",
                  String, _{string:String,index:piece}-Matches, _-[],
                  [capture_type(range),greedy(false)]).
      Matches = [8-"Mary", 33-"little lamb"].

[det]re_split(+Pattern, +String, -Splits:list)
[det]re_split(+Pattern, +String, -Splits:list, +Options)
  Split String using the regular expression Pattern. Splits is a list of strings holding alternating matches of Pattern and skipped parts of the String, starting with a skipped part. The Splits lists ends with a string of the content of String after the last match. If Pattern does not appear in String, Splits is a list holding a copy of String. This implies the number of elements in Splits is always odd. For example:

      ?- re_split("a+", "abaac", Splits, []).
      Splits = ["","a","b","aa","c"].
      ?- re_split(":\\s*"/n, "Age: 33", Splits, []).
      Splits = ['Age', ': ', 33].

  Pattern | is the pattern text, optionally follows by /Flags. Similar to re_matchsub/4, the final output type can be controlled by a flag `a` (atom), `s` (string, default) or `n` (number if possible, atom otherwise).

[det]re_replace(+Pattern, +With, +String, -NewString)
[det]re_replace(+Pattern, +With, +String, -NewString, +Options)
  Replace matches of the regular expression Pattern in String with With (possibly containing references to captured substrings).

  Throws an error if With uses a name that doesn't exist in the Pattern.

  Pattern

  is the pattern text, optionally followed by /Flags. Flags may include `g`, replacing all occurences of Pattern. In addition, similar to re_matchsub/4, the final output type can be controlled by a flag `a` (atom) or `s` (string, default). The output type can also be specified by the `capture_type` option. Capture type suffixes can modify behavior; for example, the following will change an ISO 8601 format date (YYYY-MM-DD) to American style (m/d/y), and also remove leading zeros by using the _I suffix:

      re_replace("(?<date> (?<year_I>(?:\\d\\d)?\\d\\d) -
                  (?<month_I>\\d\\d) - (?<day_I>\\d\\d) )"/x,
                 "$month-$day-$year",
                 ISODate, AmericanDate)`

  With

  is the replacement text. It may reference captured substrings using `\`N or $Name. Both N and Name may be written as {N} and {Name} to avoid ambiguities. If a substring is named, it cannot be referenced by its number. The single chracters `$` and `\` can be escaped by doubling (e.g., `re_replace(".","$$","abc",Replaced)` results in `Replaced="$bc"`). (Because `\` is an escape character inside strings, you need to write "`\``\``\\`" to get a single backslash.)

  Options | See re_match/3 for the set of options. The options that are derived from flags take precedence over the options in the Options list. In the case of conflicting flags, the first one is used (e.g., `as` results in `capture_type(string)`). If a `capture_type` is meaningless (`range` or `term`), it is ignored.

[det]re_compile(+Pattern, -Regex, +Options)
  Compiles Pattern to a Regex blob of type `regex` (see blob/2). Defined Options are given below. Please consult the PCRE2 API documentation for details. If an option is repeated, the first value is used and subsequent values are ignored. Unrecognized options are ignored. Unless otherwise specified, boolean options default to `false`. Some options may not exist on your system, depending on the PCRE2 version and how it was built - these unsupported options are silently ignored.

  The various matching predicates can take either a Regex blob or a string pattern; if they are given a string pattern, they call re_compile/3 and cache the result; so, there is little reason to use re_compile/3 directly.

  - `anchored(Bool)` If `true`, match only at the first position
  - `auto_capture(Bool)` Enable use of numbered capturing parentheses. (default `true`)
  - `bsr(Mode)` If `anycrlf`, `\`R only matches CR, LF or CRLF; if `unicode`, `\`R matches all Unicode line endings.
  - `bsr2(Mode)` - synonym for `bsr(Mode)`.
  - `caseless(Bool)` If `true`, do caseless matching.
  - `compat(With)` Error - PCRE1 had `compat(javascript)` for JavaScript compatibility, but PCRE2 has removed that.
  - `dollar_endonly(Bool)` If `true`, $ not to match newline at end
  - `dotall(Bool)` If `true`, . matches anything including NL
  - `dupnames(Bool)` If `true`, allow duplicate names for subpatterns
  - `extended(Bool)` If `true`, ignore white space and # comments
  - `firstline(Bool)` If `true`, force matching to be before newline
  - `greedy(Bool)` If `true`, operators such as `+` and `*` are greedy unless followed by `?`; if `false`, the operators are not greedy and `?` has the opposite meaning. It can also beset by a‘(?U)` within the pattern - see the PCRE2 pattern internal option setting documentation for details and note that the PCRE2 option is UNGREEDY, which is the inverse of this packages `greedy` options. (default `true`)
  - `compat(With)` Raises an errr - PCRE1 had `compat(javascript)` for JavaScript compatibility, but PCRE2 has removed that option . Consider using the `alt_bsux` and `extra_alt_bsux` options.
  - `multiline(Bool)` If `true`, `^` and $ match newlines within data
  - `newline(Mode)` If `any`, recognize any Unicode newline sequence; if `anycrlf` (default), recognize CR, LF, and CRLF as newline sequences; if `cr`, recognize CR; if `lf`, recognize LF; `crlf` recognize CRLF as newline; if `nul`, recognize the NULL character (0x00) as newline.
  - `newline2(Mode)` - synonym for `newline(Mode)`.
  - `ucp(Bool)` If `true`, use Unicode properties for `\`d, `\`w, etc.
  - `utf_check(Bool)` - see PCRE2 API documentation You should not need this because SWI-Prolog ensures that the UTF8 strings are valid,
  - `endanchored(boolean)` - see PCRE2 API documentation
  - `allow_empty_class(boolean)` - see PCRE2 API documentation
  - `alt_bsux(boolean)` - see PCRE2 API documentation
  - `auto_callout(boolean)` - see PCRE2 API documentation
  - `match_unset_backref(boolean)` - see PCRE2 API documentation
  - `never_ucp(boolean)` - see PCRE2 API documentation
  - `never_utf(boolean)` - see PCRE2 API documentation
  - `auto_possess(boolean)` - see PCRE2 API documentation (default `true`)
  - `dotstar_anchor(boolean)` - see PCRE2 API documentation (default `true`)
  - `start_optimize(boolean)` - see PCRE2 API documentation (default `true`)
  - `utf(boolean)` - see PCRE2 API documentation
  - `never_backslash_c(boolean)` - see PCRE2 API documentation
  - `alt_circumflex(boolean)` - see PCRE2 API documentation
  - `alt_verbnames(boolean)` - see PCRE2 API documentation
  - `use_offset_limit(boolean)` - see PCRE2 API documentation
  - `extended_more(boolean)` - see PCRE2 API documentation
  - `literal(boolean)` - see PCRE2 API documentation
  - `match_invalid_utf(boolean)` - see PCRE2 API documentation
  - `jit_complete(boolean)` - see PCRE2 API documentation
  - `jit_partial_soft(boolean)` - see PCRE2 API documentation
  - `jit_partial_hard(boolean)` - see PCRE2 API documentation
  - `jit_invalid_utf(boolean)` - see PCRE2 API documentation
  - `jit(boolean)` - see PCRE2 API documentation (default `true`)
  - `copy_matched_subject(boolean)` - see PCRE2 API documentation

  In addition to the options above that directly map to PCRE flags the following options are processed:

  - `optimise(Bool)` or `optimize(Bool)` Turns on the JIT compiler for additional optimization that greatly that speeds up the matching performance of many patterns. (Note that he meaning has changed slightly from the PCRE1 implementation
  - PCRE2 always optimises where possible; this is an additional optimisation.)
  - `capture_type(+Type)` How to return the matched part of the input and possibly captured groups in there. Possible values are:
    string
      Return the captured string as a string (default).
    atom
      Return the captured string as an atom.
    range
      Return the captured string as a pair `Start-Length`. Note that we use `Start-Length` rather than the more conventional `Start-End` to allow for immediate use with sub_atom/5 and sub_string/5.
    term
      Parse the captured string as a Prolog term. This is notably practical if you capture a number.

  The `capture_type` specifies the default for this pattern. The interface supports a different type for each named group using the syntax‘(?<name_T>...)`, where T is one of `S` (string), `A` (atom), `I` (integer), `F` (float), `N` (number), `T` (term) and `R` (range). In the current implementation `I`, `F` and `N` are synonyms for `T`. Future versions may act different if the parsed value is not of the requested numeric type.

  Note that re_compile/3 does not support the Pattern/Flags form that is supported by re_match/3, re_replace/4, etc.; the Pattern must be text and all compile options specified in Options.

re_flush
  Clean pattern and replacement caches.
  To be done
    Flush automatically if the cache becomes too large.
re_config(+Term)
  Extract configuration information from the pcre library. Term is of the form `Name(Value)`. Name is derived from the `PCRE_CONFIG_*` constant after removing `PCRE_CONFIG_` and mapping the name to lower case, e.g. `utf8`, `unicode_properties`, etc. Value is a Prolog boolean, integer, or atom. For boolean (1 or 0) values, `true` or `false` is returned.

  re_config/1 will backtrack through all the possible configuration values if its argument is a variable. If an unknown option is specified, re_config/1 fails.

  Non-compatible changes between PCRE1 and PCRE2 because numeric values changed: `bsr` and `newline` have been replaced by `bsr2` and `newline2`:

  - `bsr2` - previously `bsr` returned 0 or 1; now returns `unicode` or `anycrlf`
  - `newline2` - previously `newline` returned an integer, now returns `cr`, `lf`, `crlf`, `any`, `anycrlf`, `nul`

  Term values are as follows. Some values might not exist, depending on the version of PCRE2 and the options it was built with.

  - bsr2 The character sequences that the `\R` escape sequence matches by default. Replaces `bsr` option from PCRE1, which is not compatible.
  - compiled_widths An integer whose lower bits indicate which code unit widths were selected when PCRE2 was built. The 1-bit indicates 8-bit support, and the 2-bit and 4-bit indicate 16-bit and 32-bit support, respectively. The 1 bit should always be set because the wrapper code requires 8 bit support.
  - depthlimit
  - heaplimit
  - jit `true` if just-in-time compiling is available.
  - jittarget A string containing the name of the architecture for which the JIT compiler is configured. e.g.,’x86 64bit (little endian + unaligned)'.
  - linksize
  - matchlimit
  - never_backslash_c
  - newline2 An atom whose value specifies the default character sequence that is recognized as meaning "newline" (`cr`, `lf`, `crlf`, `any`, `anycrlf`, `nul`). Replaces `newline` option from PCRE1, which is not compatible.
  - parenslimit
  - stackrecurse
  - unicode Always `true`
  - unicode_version The unicode version as an atom, e.g.’12.1.0'.
  - utf8 - synonym for `unicode`
  - parens_limit
  - version The version information as an atom, containing the PCRE version number and release date, e.g.’10.34 2019-11-21'.

    For backwards compatibility with PCRE1, the following are accepted, but are deprecated:

    - `utf8` - synonym for `unicode`
    - `link_size` - synonym for `linksize`
    - `match_limit` - synonym for `matchlimit`
    - `parens_limit` - synonym for `parenslimit`
    - `unicode_properties` - always true

    The following have been removed because they don't exist in PCRE2 and don't seem to have any meaningful use in PCRE1:

    - `posix_malloc_threshold`
    - `match_limit_recursion`

# Index

?
re_compile/3
re_config/1
re_flush/0
re_foldl/6
re_match/2
re_match/3
re_matchsub/3
re_matchsub/4
re_replace/4
re_replace/5
re_split/3
re_split/4