cpp-peglib
==========

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C++17 header-only [PEG](http://en.wikipedia.org/wiki/Parsing_expression_grammar) (Parsing Expression Grammars) library. You can start using it right away just by including `peglib.h` in your project.

Since this library only supports C++17 compilers, please make sure that compiler the option `-std=c++17` is enabled. (`/std:c++17 /Zc:__cplusplus` for MSVC)

You can also try the online version, PEG Playground at https://yhirose.github.io/cpp-peglib.

The PEG syntax is well described on page 2 in the [document](http://www.brynosaurus.com/pub/lang/peg.pdf) by Bran Ford. *cpp-peglib* also supports the following additional syntax for now:

  * `'...'i` (Case-insensitive literal operator)
  * `[^...]` (Negated character class operator)
  * `{2,5}` (Regex-like repetition operator)
  * `<` ... `>` (Token boundary operator)
  * `~` (Ignore operator)
  * `\x20` (Hex number char)
  * `\u10FFFF` (Unicode char)
  * `%whitespace` (Automatic whitespace skipping)
  * `%word` (Word expression)
  * `$name(` ... `)` (Capture scope operator)
  * `$name<` ... `>` (Named capture operator)
  * `$name` (Backreference operator)
  * `|` (Dictionary operator)
  * `↑` (Cut operator)
  * `MACRO_NAME(` ... `)` (Parameterized rule or Macro)
  * `{ precedence L - + L / * }` (Parsing infix expression)
  * `%recovery(` ... `)` (Error recovery operator)
  * `exp⇑label` or `exp^label` (Syntax sugar for `(exp / %recover(label))`)
  * `label { message "..." }` (Error message instruction)

This library supports the linear-time parsing known as the [*Packrat*](http://pdos.csail.mit.edu/~baford/packrat/thesis/thesis.pdf) parsing.

  IMPORTANT NOTE for some Linux distributions such as Ubuntu and CentOS: Need `-pthread` option when linking. See [#23](https://github.com/yhirose/cpp-peglib/issues/23#issuecomment-261126127), [#46](https://github.com/yhirose/cpp-peglib/issues/46#issuecomment-417870473) and [#62](https://github.com/yhirose/cpp-peglib/issues/62#issuecomment-492032680).

How to use
----------

This is a simple calculator sample. It shows how to define grammar, associate samantic actions to the grammar, and handle semantic values.

```cpp
// (1) Include the header file
#include <peglib.h>
#include <assert.h>
#include <iostream>

using namespace peg;
using namespace std;

int main(void) {
  // (2) Make a parser
  parser parser(R"(
    # Grammar for Calculator...
    Additive    <- Multitive '+' Additive / Multitive
    Multitive   <- Primary '*' Multitive / Primary
    Primary     <- '(' Additive ')' / Number
    Number      <- < [0-9]+ >
    %whitespace <- [ \t]*
  )");

  assert(static_cast<bool>(parser) == true);

  // (3) Setup actions
  parser["Additive"] = [](const SemanticValues &vs) {
    switch (vs.choice()) {
    case 0: // "Multitive '+' Additive"
      return any_cast<int>(vs[0]) + any_cast<int>(vs[1]);
    default: // "Multitive"
      return any_cast<int>(vs[0]);
    }
  };

  parser["Multitive"] = [](const SemanticValues &vs) {
    switch (vs.choice()) {
    case 0: // "Primary '*' Multitive"
      return any_cast<int>(vs[0]) * any_cast<int>(vs[1]);
    default: // "Primary"
      return any_cast<int>(vs[0]);
    }
  };

  parser["Number"] = [](const SemanticValues &vs) {
    return vs.token_to_number<int>();
  };

  // (4) Parse
  parser.enable_packrat_parsing(); // Enable packrat parsing.

  int val;
  parser.parse(" (1 + 2) * 3 ", val);

  assert(val == 9);
}
```

To show syntax errors in grammar text:

```cpp
auto grammar = R"(
  # Grammar for Calculator...
  Additive    <- Multitive '+' Additive / Multitive
  Multitive   <- Primary '*' Multitive / Primary
  Primary     <- '(' Additive ')' / Number
  Number      <- < [0-9]+ >
  %whitespace <- [ \t]*
)";

parser parser;

parser.log = [](size_t line, size_t col, const string& msg) {
  cerr << line << ":" << col << ": " << msg << "\n";
};

auto ok = parser.load_grammar(grammar);
assert(ok);
```

There are four semantic actions available:

```cpp
[](const SemanticValues& vs, any& dt)
[](const SemanticValues& vs)
[](SemanticValues& vs, any& dt)
[](SemanticValues& vs)
```

`SemanticValues` value contains the following information:

 - Semantic values
 - Matched string information
 - Token information if the rule is literal or uses a token boundary operator
 - Choice number when the rule is 'prioritized choise'

`any& dt` is a 'read-write' context data which can be used for whatever purposes. The initial context data is set in `peg::parser::parse` method.

A semantic action can return a value of arbitrary data type, which will be wrapped by `peg::any`. If a user returns nothing in a semantic action, the first semantic value in the `const SemanticValues& vs` argument will be returned. (Yacc parser has the same behavior.)

Here shows the `SemanticValues` structure:

```cpp
struct SemanticValues : protected std::vector<any>
{
  // Input text
  const char* path;
  const char* ss;

  // Matched string
  std::string_view sv() const { return sv_; }

  // Line number and column at which the matched string is
  std::pair<size_t, size_t> line_info() const;

  // Tokens
  std::vector<std::string_view> tokens;
  std::string_view token(size_t id = 0) const;

  // Token conversion
  std::string token_to_string(size_t id = 0) const;
  template <typename T> T token_to_number() const;

  // Choice number (0 based index)
  size_t choice() const;

  // Transform the semantic value vector to another vector
  template <typename T> vector<T> transform(size_t beg = 0, size_t end = -1) const;
}
```

The following example uses `<` ... ` >` operator, which is *token boundary* operator.

```cpp
peg::parser parser(R"(
  ROOT  <- _ TOKEN (',' _ TOKEN)*
  TOKEN <- < [a-z0-9]+ > _
  _     <- [ \t\r\n]*
)");

parser["TOKEN"] = [](const SemanticValues& vs) {
  // 'token' doesn't include trailing whitespaces
  auto token = vs.token();
};

auto ret = parser.parse(" token1, token2 ");
```

We can ignore unnecessary semantic values from the list by using `~` operator.

```cpp
peg::parser parser(R"(
  ROOT  <-  _ ITEM (',' _ ITEM _)*
  ITEM  <-  ([a-z])+
  ~_    <-  [ \t]*
)");

parser["ROOT"] = [&](const SemanticValues& vs) {
  assert(vs.size() == 2); // should be 2 instead of 5.
};

auto ret = parser.parse(" item1, item2 ");
```

The following grammar is same as the above.

```cpp
peg::parser parser(R"(
  ROOT  <-  ~_ ITEM (',' ~_ ITEM ~_)*
  ITEM  <-  ([a-z])+
  _     <-  [ \t]*
)");
```

*Semantic predicate* support is available. We can do it by throwing a `peg::parse_error` exception in a semantic action.

```cpp
peg::parser parser("NUMBER  <-  [0-9]+");

parser["NUMBER"] = [](const SemanticValues& vs) {
  auto val = vs.token_to_number<long>();
  if (val != 100) {
    throw peg::parse_error("value error!!");
  }
  return val;
};

long val;
auto ret = parser.parse("100", val);
assert(ret == true);
assert(val == 100);

ret = parser.parse("200", val);
assert(ret == false);
```

*enter* and *leave* actions are also avalable.

```cpp
parser["RULE"].enter = [](const char* s, size_t n, any& dt) {
  std::cout << "enter" << std::endl;
};

parser["RULE"] = [](const SemanticValues& vs, any& dt) {
  std::cout << "action!" << std::endl;
};

parser["RULE"].leave = [](const char* s, size_t n, size_t matchlen, any& value, any& dt) {
  std::cout << "leave" << std::endl;
};
```

Ignoring Whitespaces
--------------------

As you can see in the first example, we can ignore whitespaces between tokens automatically with `%whitespace` rule.

`%whitespace` rule can be applied to the following three conditions:

  * trailing spaces on tokens
  * leading spaces on text
  * trailing spaces on literal strings in rules

These are valid tokens:

```
KEYWORD   <- 'keyword'
KEYWORDI  <- 'case_insensitive_keyword'
WORD      <-  < [a-zA-Z0-9] [a-zA-Z0-9-_]* >    # token boundary operator is used.
IDNET     <-  < IDENT_START_CHAR IDENT_CHAR* >  # token boundary operator is used.
```

The following grammar accepts ` one, "two three", four `.

```
ROOT         <- ITEM (',' ITEM)*
ITEM         <- WORD / PHRASE
WORD         <- < [a-z]+ >
PHRASE       <- < '"' (!'"' .)* '"' >

%whitespace  <-  [ \t\r\n]*
```

Word expression
---------------

```cpp
peg::parser parser(R"(
  ROOT         <-  'hello' 'world'
  %whitespace  <-  [ \t\r\n]*
  %word        <-  [a-z]+
)");

parser.parse("hello world"); // OK
parser.parse("helloworld");  // NG
```

Capture/Backreference
---------------------

```cpp
peg::parser parser(R"(
  ROOT      <- CONTENT
  CONTENT   <- (ELEMENT / TEXT)*
  ELEMENT   <- $(STAG CONTENT ETAG)
  STAG      <- '<' $tag< TAG_NAME > '>'
  ETAG      <- '</' $tag '>'
  TAG_NAME  <- 'b' / 'u'
  TEXT      <- TEXT_DATA
  TEXT_DATA <- ![<] .
)");

parser.parse("This is <b>a <u>test</u> text</b>."); // OK
parser.parse("This is <b>a <u>test</b> text</u>."); // NG
parser.parse("This is <b>a <u>test text</b>.");     // NG
```

Dictionary
----------

`|` operator allows us to make a word dictionary for fast lookup by using Trie structure internally. We don't have to worry about the order of words.

```peg
START <- 'This month is ' MONTH '.'
MONTH <- 'Jan' | 'January' | 'Feb' | 'February' | '...'
```

Cut operator
------------

`↑` operator could mitigate backtrack performance problem, but has a risk to change the meaning of grammar.

```peg
S <- '(' ↑ P ')' / '"' ↑ P '"' / P
P <- 'a' / 'b' / 'c'
```

When we parse `(z` with the above grammar, we don't have to backtrack in `S` after `(` is matched because a cut operator is inserted there.

Parameterized Rule or Macro
---------------------------

```peg
# Syntax
Start      ← _ Expr
Expr       ← Sum
Sum        ← List(Product, SumOpe)
Product    ← List(Value, ProOpe)
Value      ← Number / T('(') Expr T(')')

# Token
SumOpe     ← T('+' / '-')
ProOpe     ← T('*' / '/')
Number     ← T([0-9]+)
~_         ← [ \t\r\n]*

# Macro
List(I, D) ← I (D I)*
T(x)       ← < x > _
```

Parsing infix expression by Precedence climbing
-----------------------------------------------

Regarding the *precedence climbing algorithm*, please see [this article](https://eli.thegreenplace.net/2012/08/02/parsing-expressions-by-precedence-climbing).

```cpp
parser parser(R"(
  EXPRESSION             <-  INFIX_EXPRESSION(ATOM, OPERATOR)
  ATOM                   <-  NUMBER / '(' EXPRESSION ')'
  OPERATOR               <-  < [-+/*] >
  NUMBER                 <-  < '-'? [0-9]+ >
  %whitespace            <-  [ \t]*

  # Declare order of precedence
  INFIX_EXPRESSION(A, O) <-  A (O A)* {
    precedence
      L + -
      L * /
  }
)");

parser["INFIX_EXPRESSION"] = [](const SemanticValues& vs) -> long {
  auto result = any_cast<long>(vs[0]);
  if (vs.size() > 1) {
    auto ope = any_cast<char>(vs[1]);
    auto num = any_cast<long>(vs[2]);
    switch (ope) {
      case '+': result += num; break;
      case '-': result -= num; break;
      case '*': result *= num; break;
      case '/': result /= num; break;
    }
  }
  return result;
};
parser["OPERATOR"] = [](const SemanticValues& vs) { return *vs.sv(); };
parser["NUMBER"] = [](const SemanticValues& vs) { return vs.token_to_number<long>(); };

long val;
parser.parse(" -1 + (1 + 2) * 3 - -1", val);
assert(val == 9);
```

*precedence* instruction can be applied only to the following 'list' style rule.

```
Rule <- Atom (Operator Atom)* {
  precedence
    L - +
    L / *
    R ^
}
```

*precedence* instruction contains precedence info entries. Each entry starts with *associativity* which is 'L' (left) or 'R' (right), then operator tokens follow. The first entry has the highest order level.

AST generation
--------------

*cpp-peglib* is able to generate an AST (Abstract Syntax Tree) when parsing. `enable_ast` method on `peg::parser` class enables the feature.

NOTE: An AST node holds a corresponding token as `std::string_vew` for performance and less memory usage. It is users' responsibility to kepp the original source text along with the generated AST tree.

```
peg::parser parser(R"(
  ...
  defenition1 <- ... { no_ast_opt }
  defenition2 <- ... { no_ast_opt }
  ...
)");

parser.enable_ast();

shared_ptr<peg::Ast> ast;
if (parser.parse("...", ast)) {
  cout << peg::ast_to_s(ast);

  ast = parser.optimize_ast(ast);
  cout << peg::ast_to_s(ast);
}
```

`optimize_ast` removes redundant nodes to make a AST simpler. If you want to disable this behavior from particular rules, `no_ast_opt` instruction can be used.

It internally calls `peg::AstOptimizer` to do the job. You can make your own AST optimizers to fit your needs.

See actual usages in the [AST calculator example](https://github.com/yhirose/cpp-peglib/blob/master/example/calc3.cc) and [PL/0 language example](https://github.com/yhirose/cpp-peglib/blob/master/pl0/pl0.cc).

Make a parser with parser combinators
-------------------------------------

Instead of makeing a parser by parsing PEG syntax text, we can also construct a parser by hand with *parser combinatorss*. Here is an example:

```cpp
using namespace peg;
using namespace std;

vector<string> tags;

Definition ROOT, TAG_NAME, _;
ROOT     <= seq(_, zom(seq(chr('['), TAG_NAME, chr(']'), _)));
TAG_NAME <= oom(seq(npd(chr(']')), dot())), [&](const SemanticValues& vs) {
              tags.push_back(vs.token_to_string());
            };
_        <= zom(cls(" \t"));

auto ret = ROOT.parse(" [tag1] [tag:2] [tag-3] ");
```

The following are available operators:

| Operator |     Description                 | Operator |     Description      |
| :------- | :------------------------------ | :------- | :------------------- |
| seq      | Sequence                        | cho      | Prioritized Choice   |
| zom      | Zero or More                    | oom      | One or More          |
| opt      | Optional                        | apd      | And predicate        |
| npd      | Not predicate                   | lit      | Literal string       |
| liti     | Case-insensitive Literal string | cls      | Character class      |
| ncls     | Negated Character class         | chr      | Character            |
| dot      | Any character                   | tok      | Token boundary       |
| ign      | Ignore semantic value           | csc      | Capture scope        |
| cap      | Capture                         | bkr      | Back reference       |
| dic      | Dictionary                      | pre      | Infix expression     |
| rec      | Infix expression                | usr      | User defined parser  |

Adjust definitions
------------------

It's possible to add/override definitions.

```cpp
auto syntax = R"(
  ROOT <- _ 'Hello' _ NAME '!' _
)";

Rules additional_rules = {
  {
    "NAME", usr([](const char* s, size_t n, SemanticValues& vs, any& dt) -> size_t {
      static vector<string> names = { "PEG", "BNF" };
      for (const auto& name: names) {
        if (name.size() <= n && !name.compare(0, name.size(), s, name.size())) {
          return name.size(); // processed length
        }
      }
      return -1; // parse error
    })
  },
  {
    "~_", zom(cls(" \t\r\n"))
  }
};

auto g = parser(syntax, additional_rules);

assert(g.parse(" Hello BNF! "));
```

Unicode support
---------------

cpp-peglib accepts UTF8 text. `.` matches a Unicode codepoint. Also, it supports `\u????`.

Error report and recovery
-------------------------

cpp-peglib supports the furthest failure error posision report as descrived in the Bryan Ford original document.

For better error report and recovery, cpp-peglib supports 'recovery' operator with label which can be assosiated with a recovery expression and a custom error message. This idea comes from the fantastic ["Syntax Error Recovery in Parsing Expression Grammars"](https://arxiv.org/pdf/1806.11150.pdf) paper by Sergio Medeiros and Fabio Mascarenhas.

The custom message supports `%t` which is a place holder for the unexpected token, and `%c` for the unexpected Unicode char.

Here is an example of Java-like grammar:

```peg
# java.peg
Prog        ← 'public' 'class' NAME '{' 'public' 'static' 'void' 'main' '(' 'String' '[' ']' NAME ')' BlockStmt '}'
BlockStmt   ← '{' (!'}' Stmt^stmtb)* '}' # Annotated with `stmtb`
Stmt        ← IfStmt / WhileStmt / PrintStmt / DecStmt / AssignStmt / BlockStmt
IfStmt      ← 'if' '(' Exp ')' Stmt ('else' Stmt)?
WhileStmt   ← 'while' '(' Exp^condw ')' Stmt # Annotated with `condw`
DecStmt     ← 'int' NAME ('=' Exp)? ';'
AssignStmt  ← NAME '=' Exp ';'^semia # Annotated with `semi`
PrintStmt   ← 'System.out.println' '(' Exp ')' ';'
Exp         ← RelExp ('==' RelExp)*
RelExp      ← AddExp ('<' AddExp)*
AddExp      ← MulExp (('+' / '-') MulExp)*
MulExp      ← AtomExp (('*' / '/') AtomExp)*
AtomExp     ← '(' Exp ')' / NUMBER / NAME

NUMBER      ← < [0-9]+ >
NAME        ← < [a-zA-Z_][a-zA-Z_0-9]* >

%whitespace ← [ \t\n]*
%word       ← NAME

# Recovery operator labels
semia       ← '' { message "missing simicolon in assignment." }
stmtb       ← (!(Stmt / 'else' / '}') .)* { message "invalid statement" }
condw       ← &'==' ('==' RelExp)* / &'<' ('<' AddExp)* / (!')' .)*
```

For instance, `';'^semi` is a syntactic sugar for `(';' / %recovery(semi))`. `%recover` operator tries to recover the error at ';' by skipping input text with the recovery expression `semi`. Also `semi` is assosiated with a custom message "missing simicolon in assignment.".

Here is the result:

```java
> cat sample.java
public class Example {
  public static void main(String[] args) {
    int n = 5;
    int f = 1;
    while( < n) {
      f = f * n;
      n = n - 1
    };
    System.out.println(f);
  }
}

> peglint java.peg sample.java
sample.java:5:12: syntax error, unexpected '<', expecting <NAME>, <NUMBER>, <WhileStmt>.
sample.java:8:5: missing simicolon in assignment.
sample.java:8:6: invalid statement
```

As you can see, it can now show more than one error, and provide more meaningfull error messages than the default messages.

peglint - PEG syntax lint utility
---------------------------------

### Build peglint

```
> cd lint
> mkdir build
> cd build
> cmake ..
> make
> ./peglint
usage: grammar_file_path [source_file_path]

  options:
    --source: source text
    --packrat: enable packrat memoise
    --ast: show AST tree
    --opt, --opt-all: optimaze all AST nodes except nodes selected with `no_ast_opt` instruction
    --opt-only: optimaze only AST nodes selected with `no_ast_opt` instruction
    --trace: show trace messages
```

### Grammar check

```
> cat a.peg
Additive    <- Multitive '+' Additive / Multitive
Multitive   <- Primary '*' Multitive / Primary
Primary     <- '(' Additive ')' / Number
%whitespace <- [ \t\r\n]*

> peglint a.peg
[commendline]:3:35: 'Number' is not defined.
```

### Source check

```
> cat a.peg
Additive    <- Multitive '+' Additive / Multitive
Multitive   <- Primary '*' Multitive / Primary
Primary     <- '(' Additive ')' / Number
Number      <- < [0-9]+ >
%whitespace <- [ \t\r\n]*

> peglint --source "1 + a * 3" a.peg
[commendline]:1:3: syntax error
```

### AST

```
> cat a.txt
1 + 2 * 3

> peglint --ast a.peg a.txt
+ Additive
  + Multitive
    + Primary
      - Number (1)
  + Additive
    + Multitive
      + Primary
        - Number (2)
      + Multitive
        + Primary
          - Number (3)
```

### AST optimazation

```
> peglint --ast --opt --source "1 + 2 * 3" a.peg
+ Additive
  - Multitive[Number] (1)
  + Additive[Multitive]
    - Primary[Number] (2)
    - Multitive[Number] (3)
```

### Adjust AST optimazation with `no_ast_opt` instruction

```
> cat a.peg
Additive    <- Multitive '+' Additive / Multitive
Multitive   <- Primary '*' Multitive / Primary
Primary     <- '(' Additive ')' / Number          { no_ast_opt }
Number      <- < [0-9]+ >
%whitespace <- [ \t\r\n]*

> peglint --ast --opt --source "1 + 2 * 3" a.peg
+ Additive/0
  + Multitive/1[Primary]
    - Number (1)
  + Additive/1[Multitive]
    + Primary/1
      - Number (2)
    + Multitive/1[Primary]
      - Number (3)

> peglint --ast --opt-only --source "1 + 2 * 3" a.peg
+ Additive/0
  + Multitive/1
    - Primary/1[Number] (1)
  + Additive/1
    + Multitive/0
      - Primary/1[Number] (2)
      + Multitive/1
        - Primary/1[Number] (3)
```

Sample codes
------------

  * [Calculator](https://github.com/yhirose/cpp-peglib/blob/master/example/calc.cc)
  * [Calculator (with parser operators)](https://github.com/yhirose/cpp-peglib/blob/master/example/calc2.cc)
  * [Calculator (AST version)](https://github.com/yhirose/cpp-peglib/blob/master/example/calc3.cc)
  * [Calculator (parsing expressions by precedence climbing)](https://github.com/yhirose/cpp-peglib/blob/master/example/calc4.cc)
  * [Calculator (AST version and parsing expressions by precedence climbing)](https://github.com/yhirose/cpp-peglib/blob/master/example/calc5.cc)
  * [PL/0 language example](https://github.com/yhirose/cpp-peglib/blob/master/pl0/pl0.cc)
  * [A tiny PL/0 JIT compiler in less than 700 LOC with LLVM and PEG parser](https://github.com/yhirose/pl0-jit-compiler)
  * [A Programming Language just for writing Fizz Buzz program. :)](https://github.com/yhirose/fizzbuzzlang)

License
-------

MIT license (© 2020 Yuji Hirose)