Simple PEG (Parsing expression grammar) matching. Uses no memorization, but uses superoperators and symbol inlining to improve performance. Note: Matching performance is hopefully competitive with optimized regular expression engines.
PEG syntax and semantics
A PEG (Parsing expression grammar) is a simple deterministic grammar, that can be directly used for parsing. The current implementation has been designed as a more powerful replacement for regular expressions. UTF-8 is supported.
The notation used for a PEG is similar to that of EBNF:
notation | meaning |
---|---|
A / ... / Z | Ordered choice: Apply expressions A, ..., Z, in this order, to the text ahead, until one of them succeeds and possibly consumes some text. Indicate success if one of expressions succeeded. Otherwise, do not consume any text and indicate failure. |
A ... Z | Sequence: Apply expressions A, ..., Z, in this order, to consume consecutive portions of the text ahead, as long as they succeed. Indicate success if all succeeded. Otherwise, do not consume any text and indicate failure. The sequence's precedence is higher than that of ordered choice: A B / C means (A B) / Z and not A (B / Z). |
(E) | Grouping: Parenthesis can be used to change operator priority. |
{E} | Capture: Apply expression E and store the substring that matched E into a capture that can be accessed after the matching process. |
{} | Empty capture: Delete the last capture. No character is consumed. |
$i | Back reference to the ith capture. i counts forwards from 1 or backwards (last capture to first) from ^1. |
$ | Anchor: Matches at the end of the input. No character is consumed. Same as !.. |
^ | Anchor: Matches at the start of the input. No character is consumed. |
&E | And predicate: Indicate success if expression E matches the text ahead; otherwise indicate failure. Do not consume any text. |
!E | Not predicate: Indicate failure if expression E matches the text ahead; otherwise indicate success. Do not consume any text. |
E+ | One or more: Apply expression E repeatedly to match the text ahead, as long as it succeeds. Consume the matched text (if any) and indicate success if there was at least one match. Otherwise, indicate failure. |
E* | Zero or more: Apply expression E repeatedly to match the text ahead, as long as it succeeds. Consume the matched text (if any). Always indicate success. |
E? | Zero or one: If expression E matches the text ahead, consume it. Always indicate success. |
[s] | Character class: If the character ahead appears in the string s, consume it and indicate success. Otherwise, indicate failure. |
[a-b] | Character range: If the character ahead is one from the range a through b, consume it and indicate success. Otherwise, indicate failure. |
's' | String: If the text ahead is the string s, consume it and indicate success. Otherwise, indicate failure. |
i's' | String match ignoring case. |
y's' | String match ignoring style. |
v's' | Verbatim string match: Use this to override a global \i or \y modifier. |
i$j | String match ignoring case for back reference. |
y$j | String match ignoring style for back reference. |
v$j | Verbatim string match for back reference. |
. | Any character: If there is a character ahead, consume it and indicate success. Otherwise, (that is, at the end of input) indicate failure. |
_ | Any Unicode character: If there is a UTF-8 character ahead, consume it and indicate success. Otherwise, indicate failure. |
@E | Search: Shorthand for (!E .)* E. (Search loop for the pattern E.) |
{@} E | Captured Search: Shorthand for {(!E .)*} E. (Search loop for the pattern E.) Everything until and excluding E is captured. |
@@ E | Same as {@} E. |
A <- E | Rule: Bind the expression E to the nonterminal symbol A. Left recursive rules are not possible and crash the matching engine. |
\identifier | Built-in macro for a longer expression. |
\ddd | Character with decimal code ddd. |
\", etc. | Literal ", etc. |
Built-in macros
macro | meaning |
---|---|
\d | any decimal digit: [0-9] |
\D | any character that is not a decimal digit: [^0-9] |
\s | any whitespace character: [ \9-\13] |
\S | any character that is not a whitespace character: [^ \9-\13] |
\w | any "word" character: [a-zA-Z0-9_] |
\W | any "non-word" character: [^a-zA-Z0-9_] |
\a | same as [a-zA-Z] |
\A | same as [^a-zA-Z] |
\n | any newline combination: \10 / \13\10 / \13 |
\i | ignore case for matching; use this at the start of the PEG |
\y | ignore style for matching; use this at the start of the PEG |
\skip pat | skip pattern pat before trying to match other tokens; this is useful for whitespace skipping, for example: \skip(\s*) {\ident} ':' {\ident} matches key value pairs ignoring whitespace around the ':'. |
\ident | a standard ASCII identifier: [a-zA-Z_][a-zA-Z_0-9]* |
\letter | any Unicode letter |
\upper | any Unicode uppercase letter |
\lower | any Unicode lowercase letter |
\title | any Unicode title letter |
\white | any Unicode whitespace character |
A backslash followed by a letter is a built-in macro, otherwise it is used for ordinary escaping:
notation | meaning |
---|---|
\\ | a single backslash |
\* | same as '*' |
\t | not a tabulator, but an (unknown) built-in |
Supported PEG grammar
The PEG parser implements this grammar (written in PEG syntax):
# Example grammar of PEG in PEG syntax. # Comments start with '#'. # First symbol is the start symbol. grammar <- rule* / expr identifier <- [A-Za-z][A-Za-z0-9_]* charsetchar <- "\\" . / [^\]] charset <- "[" "^"? (charsetchar ("-" charsetchar)?)+ "]" stringlit <- identifier? ("\"" ("\\" . / [^"])* "\"" / "'" ("\\" . / [^'])* "'") builtin <- "\\" identifier / [^\13\10] comment <- '#' @ \n ig <- (\s / comment)* # things to ignore rule <- identifier \s* "<-" expr ig identNoArrow <- identifier !(\s* "<-") prefixOpr <- ig '&' / ig '!' / ig '@' / ig '{@}' / ig '@@' literal <- ig identifier? '$' '^'? [0-9]+ / '$' / '^' / ig identNoArrow / ig charset / ig stringlit / ig builtin / ig '.' / ig '_' / (ig "(" expr ig ")") / (ig "{" expr? ig "}") postfixOpr <- ig '?' / ig '*' / ig '+' primary <- prefixOpr* (literal postfixOpr*) # Concatenation has higher priority than choice: # ``a b / c`` means ``(a b) / c`` seqExpr <- primary+ expr <- seqExpr (ig "/" expr)*
Note: As a special syntactic extension if the whole PEG is only a single expression, identifiers are not interpreted as non-terminals, but are interpreted as verbatim string:
abc =~ peg"abc" # is true
So it is not necessary to write peg" 'abc' " in the above example.
Examples
Check if s matches Nim's "while" keyword:
s =~ peg" y'while'"
Exchange (key, val)-pairs:
"key: val; key2: val2".replacef(peg"{\ident} \s* ':' \s* {\ident}", "$2: $1")
Determine the #include'ed files of a C file:
for line in lines("myfile.c"): if line =~ peg"""s <- ws '#include' ws '"' {[^"]+} '"' ws comment <- '/*' @ '*/' / '//' .* ws <- (comment / \s+)* """: echo matches[0]
PEG vs regular expression
As a regular expression \[.*\] matches the longest possible text between '[' and ']'. As a PEG it never matches anything, because a PEG is deterministic: .* consumes the rest of the input, so \] never matches. As a PEG this needs to be written as: \[ ( !\] . )* \] (or \[ @ \]).
Note that the regular expression does not behave as intended either: in the example * should not be greedy, so \[.*?\] should be used instead.
PEG construction
There are two ways to construct a PEG in Nim code:
- Parsing a string into an AST which consists of Peg nodes with the peg proc.
- Constructing the AST directly with proc calls. This method does not support constructing rules, only simple expressions and is not as convenient. Its only advantage is that it does not pull in the whole PEG parser into your executable.
Types
EInvalidPeg = object of ValueError
- raised if an invalid PEG has been detected Source Edit
NonTerminal = ref NonTerminalObj
- Source Edit
NonTerminalFlag = enum ntDeclared, ntUsed
- Source Edit
Peg {.shallow.} = object case of pkEmpty .. pkWhitespace: nil of pkTerminal, pkTerminalIgnoreCase, pkTerminalIgnoreStyle: of pkChar, pkGreedyRepChar: of pkCharChoice, pkGreedyRepSet: of pkNonTerminal: of pkBackRef .. pkBackRefIgnoreStyle: else:
- type that represents a PEG Source Edit
PegKind = enum pkEmpty, pkAny, ## any character (.) pkAnyRune, ## any Unicode character (_) pkNewLine, ## CR-LF, LF, CR pkLetter, ## Unicode letter pkLower, ## Unicode lower case letter pkUpper, ## Unicode upper case letter pkTitle, ## Unicode title character pkWhitespace, ## Unicode whitespace character pkTerminal, pkTerminalIgnoreCase, pkTerminalIgnoreStyle, pkChar, ## single character to match pkCharChoice, pkNonTerminal, pkSequence, ## a b c ... --> Internal DSL: peg(a, b, c) pkOrderedChoice, ## a / b / ... --> Internal DSL: a / b or /[a, b, c] pkGreedyRep, ## a* --> Internal DSL: *a ## a+ --> (a a*) pkGreedyRepChar, ## x* where x is a single character (superop) pkGreedyRepSet, ## [set]* (superop) pkGreedyAny, ## .* or _* (superop) pkOption, ## a? --> Internal DSL: ?a pkAndPredicate, ## &a --> Internal DSL: &a pkNotPredicate, ## !a --> Internal DSL: !a pkCapture, ## {a} --> Internal DSL: capture(a) pkBackRef, ## $i --> Internal DSL: backref(i) pkBackRefIgnoreCase, pkBackRefIgnoreStyle, pkSearch, ## @a --> Internal DSL: !*a pkCapturedSearch, ## {@} a --> Internal DSL: !*\a pkRule, ## a <- b pkList, ## a, b pkStartAnchor ## ^ --> Internal DSL: startAnchor()
- Source Edit
Consts
MaxSubpatterns = 20
- defines the maximum number of subpatterns that can be captured. More subpatterns cannot be captured! Source Edit
Procs
func backref(index: range[1 .. MaxSubpatterns]; reverse: bool = false): Peg {. ...gcsafe, extern: "npegs$1", raises: [], tags: [], forbids: [].}
- constructs a back reference of the given index. index starts counting from 1. reverse specifies whether indexing starts from the end of the capture list. Source Edit
func backrefIgnoreCase(index: range[1 .. MaxSubpatterns]; reverse: bool = false): Peg {. ...gcsafe, extern: "npegs$1", raises: [], tags: [], forbids: [].}
- constructs a back reference of the given index. index starts counting from 1. reverse specifies whether indexing starts from the end of the capture list. Ignores case for matching. Source Edit
func backrefIgnoreStyle(index: range[1 .. MaxSubpatterns]; reverse: bool = false): Peg {. ...gcsafe, extern: "npegs$1", raises: [], tags: [], forbids: [].}
- constructs a back reference of the given index. index starts counting from 1. reverse specifies whether indexing starts from the end of the capture list. Ignores style for matching. Source Edit
func col(nt: NonTerminal): int {....raises: [], tags: [], forbids: [].}
- Gets the column number of the definition of the parent Peg object variant of a given NonTerminal. Source Edit
func find(s: string; pattern: Peg; matches: var openArray[string]; start = 0): int {. ...gcsafe, extern: "npegs$1Capture", raises: [], tags: [RootEffect], forbids: [].}
- returns the starting position of pattern in s and the captured substrings in the array matches. If it does not match, nothing is written into matches and -1 is returned. Source Edit
func findBounds(s: string; pattern: Peg; matches: var openArray[string]; start = 0): tuple[first, last: int] {....gcsafe, extern: "npegs$1Capture", raises: [], tags: [RootEffect], forbids: [].}
- returns the starting position and end position of pattern in s and the captured substrings in the array matches. If it does not match, nothing is written into matches and (-1,0) is returned. Source Edit
func flags(nt: NonTerminal): set[NonTerminalFlag] {....raises: [], tags: [], forbids: [].}
- Gets the NonTerminalFlag-typed flags field of the parent Peg variant object of a given NonTerminal. Source Edit
func line(nt: NonTerminal): int {....raises: [], tags: [], forbids: [].}
- Gets the line number of the definition of the parent Peg object variant of a given NonTerminal. Source Edit
func match(s: string; pattern: Peg; matches: var openArray[string]; start = 0): bool {. ...gcsafe, extern: "npegs$1Capture", raises: [], tags: [RootEffect], forbids: [].}
- returns true if s[start..] matches the pattern and the captured substrings in the array matches. If it does not match, nothing is written into matches and false is returned. Source Edit
func matchLen(s: string; pattern: Peg; matches: var openArray[string]; start = 0): int {. ...gcsafe, extern: "npegs$1Capture", raises: [], tags: [RootEffect], forbids: [].}
- the same as match, but it returns the length of the match, if there is no match, -1 is returned. Note that a match length of zero can happen. It's possible that a suffix of s remains that does not belong to the match. Source Edit
func matchLen(s: string; pattern: Peg; start = 0): int {....gcsafe, extern: "npegs$1", raises: [], tags: [RootEffect], forbids: [].}
- the same as match, but it returns the length of the match, if there is no match, -1 is returned. Note that a match length of zero can happen. It's possible that a suffix of s remains that does not belong to the match. Source Edit
func name(nt: NonTerminal): string {....raises: [], tags: [], forbids: [].}
- Gets the name of the symbol represented by the parent Peg object variant of a given NonTerminal. Source Edit
func newNonTerminal(name: string; line, column: int): NonTerminal {....gcsafe, extern: "npegs$1", raises: [], tags: [], forbids: [].}
- constructs a nonterminal symbol Source Edit
func nonterminal(n: NonTerminal): Peg {....gcsafe, extern: "npegs$1", raises: [], tags: [], forbids: [].}
- constructs a PEG that consists of the nonterminal symbol Source Edit
func nt(p: Peg): NonTerminal {....raises: [], tags: [], forbids: [].}
- Returns the NonTerminal object of a given Peg variant object where present. Source Edit
func parsePeg(pattern: string; filename = "pattern"; line = 1; col = 0): Peg {. ...raises: [ValueError, EInvalidPeg, Exception], tags: [RootEffect], forbids: [].}
- constructs a Peg object from pattern. filename, line, col are used for error messages, but they only provide start offsets. parsePeg keeps track of line and column numbers within pattern. Source Edit
func rawMatch(s: string; p: Peg; start: int; c: var Captures): int {....gcsafe, extern: "npegs$1", raises: [], tags: [RootEffect], forbids: [].}
- low-level matching proc that implements the PEG interpreter. Use this for maximum efficiency (every other PEG operation ends up calling this proc). Returns -1 if it does not match, else the length of the match Source Edit
func replace(s: string; sub: Peg; cb: proc (match: int; cnt: int; caps: openArray[string]): string): string {. ...gcsafe, extern: "npegs$1cb", effectsOf: cb, ...raises: [], tags: [RootEffect], forbids: [].}
-
Replaces sub in s by the resulting strings from the callback. The callback proc receives the index of the current match (starting with 0), the count of captures and an open array with the captures of each match. Examples:
func handleMatches*(m: int, n: int, c: openArray[string]): string = result = "" if m > 0: result.add ", " result.add case n: of 2: c[0].toLower & ": '" & c[1] & "'" of 1: c[0].toLower & ": ''" else: "" let s = "Var1=key1;var2=Key2; VAR3" echo s.replace(peg"{\ident}('='{\ident})* ';'* \s*", handleMatches)
Results in:
"var1: 'key1', var2: 'Key2', var3: ''"
Source Edit func replacef(s: string; sub: Peg; by: string): string {....gcsafe, extern: "npegs$1", raises: [ValueError], tags: [RootEffect], forbids: [].}
-
Replaces sub in s by the string by. Captures can be accessed in by with the notation $i and $# (see strutils.%). Examples:
"var1=key; var2=key2".replacef(peg"{\ident}'='{\ident}", "$1<-$2$2")
Results in:
"var1<-keykey; val2<-key2key2"
Source Edit func rule(nt: NonTerminal): Peg {....raises: [], tags: [], forbids: [].}
- Gets the Peg object representing the rule definition of the parent Peg object variant of a given NonTerminal. Source Edit
func startAnchor(): Peg {.inline, ...raises: [], tags: [], forbids: [].}
- constructs the PEG ^ which matches the start of the input. Source Edit
func term(p: Peg): string {....raises: [], tags: [], forbids: [].}
- Returns the string representation of a given Peg variant object where present. Source Edit
func termIgnoreCase(t: string): Peg {....gcsafe, extern: "npegs$1", raises: [], tags: [], forbids: [].}
- constructs a PEG from a terminal string; ignore case for matching Source Edit
func termIgnoreStyle(t: string): Peg {....gcsafe, extern: "npegs$1", raises: [], tags: [], forbids: [].}
- constructs a PEG from a terminal string; ignore style for matching Source Edit
proc transformFile(infile, outfile: string; subs: varargs[tuple[pattern: Peg, repl: string]]) {....gcsafe, extern: "npegs$1", raises: [IOError, ValueError], tags: [ReadIOEffect, WriteIOEffect, RootEffect], forbids: [].}
-
reads in the file infile, performs a parallel replacement (calls parallelReplace) and writes back to outfile. Raises IOError if an error occurs. This is supposed to be used for quick scripting.
Note: this proc does not exist while using the JS backend.
Source Edit func unicodeLetter(): Peg {.inline, ...raises: [], tags: [], forbids: [].}
- constructs the PEG \letter which matches any Unicode letter. Source Edit
func unicodeLower(): Peg {.inline, ...raises: [], tags: [], forbids: [].}
- constructs the PEG \lower which matches any Unicode lowercase letter. Source Edit
func unicodeTitle(): Peg {.inline, ...raises: [], tags: [], forbids: [].}
- constructs the PEG \title which matches any Unicode title letter. Source Edit
func unicodeUpper(): Peg {.inline, ...raises: [], tags: [], forbids: [].}
- constructs the PEG \upper which matches any Unicode uppercase letter. Source Edit
func unicodeWhitespace(): Peg {.inline, ...raises: [], tags: [], forbids: [].}
- constructs the PEG \white which matches any Unicode whitespace character. Source Edit
Iterators
iterator split(s: string; sep: Peg): string {....raises: [], tags: [RootEffect], forbids: [].}
-
Splits the string s into substrings.
Substrings are separated by the PEG sep. Examples:
for word in split("00232this02939is39an22example111", peg"\d+"): writeLine(stdout, word)
Results in:
"this" "is" "an" "example"
Source Edit
Templates
template `=~`(s: string; pattern: Peg): bool
-
This calls match with an implicit declared matches array that can be used in the scope of the =~ call:
if line =~ peg"\s* {\w+} \s* '=' \s* {\w+}": # matches a key=value pair: echo("Key: ", matches[0]) echo("Value: ", matches[1]) elif line =~ peg"\s*{'#'.*}": # matches a comment # note that the implicit ``matches`` array is different from the # ``matches`` array of the first branch echo("comment: ", matches[0]) else: echo("syntax error")
Source Edit template eventParser(pegAst, handlers: untyped): (proc (s: string): int)
-
Generates an interpreting event parser proc according to the specified PEG AST and handler code blocks. The proc can be called with a string to be parsed and will execute the handler code blocks whenever their associated grammar element is matched. It returns -1 if the string does not match, else the length of the total match. The following example code evaluates an arithmetic expression defined by a simple PEG:
import std/[strutils, pegs] let pegAst = """ Expr <- Sum Sum <- Product (('+' / '-')Product)* Product <- Value (('*' / '/')Value)* Value <- [0-9]+ / '(' Expr ')' """.peg txt = "(5+3)/2-7*22" var pStack: seq[string] = @[] valStack: seq[float] = @[] opStack = "" let parseArithExpr = pegAst.eventParser: pkNonTerminal: enter: pStack.add p.nt.name leave: pStack.setLen pStack.high if length > 0: let matchStr = s.substr(start, start+length-1) case p.nt.name of "Value": try: valStack.add matchStr.parseFloat echo valStack except ValueError: discard of "Sum", "Product": try: let val = matchStr.parseFloat except ValueError: if valStack.len > 1 and opStack.len > 0: valStack[^2] = case opStack[^1] of '+': valStack[^2] + valStack[^1] of '-': valStack[^2] - valStack[^1] of '*': valStack[^2] * valStack[^1] else: valStack[^2] / valStack[^1] valStack.setLen valStack.high echo valStack opStack.setLen opStack.high echo opStack pkChar: leave: if length == 1 and "Value" != pStack[^1]: let matchChar = s[start] opStack.add matchChar echo opStack let pLen = parseArithExpr(txt)
The handlers parameter consists of code blocks for PegKinds, which define the grammar elements of interest. Each block can contain handler code to be executed when the parser enters and leaves text matching the grammar element. An enter handler can access the specific PEG AST node being matched as p, the entire parsed string as s and the position of the matched text segment in s as start. A leave handler can access p, s, start and also the length of the matched text segment as length. For an unsuccessful match, the enter and leave handlers will be executed, with length set to -1.
Symbols declared in an enter handler can be made visible in the corresponding leave handler by annotating them with an inject pragma.
Source Edit template identChars(): Peg
- expands to charset({'a'..'z', 'A'..'Z', '0'..'9', '_'}) Source Edit
template identStartChars(): Peg
- expands to charset({'A'..'Z', 'a'..'z', '_'}) Source Edit
template whitespace(): Peg
- expands to charset({' ', '\9'..'\13'}) Source Edit