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8
9# Parser Combinators
10
11```{contents}
12---
13local:
14---
15```
16
17This document is a primer on Parser Combinators and their use in Flang.
18
19## Concept
20The Fortran language recognizer here can be classified as an LL recursive
21descent parser.  It is composed from a *parser combinator* library that
22defines a few fundamental parsers and a few ways to compose them into more
23powerful parsers.
24
25For our purposes here, a *parser* is any object that attempts to recognize
26an instance of some syntax from an input stream.  It may succeed or fail.
27On success, it may return some semantic value to its caller.
28
29In C++ terms, a parser is any instance of a class that
301. has a `constexpr` default constructor,
311. defines a type named `resultType`, and
321. provides a function (`const` member or `static`) that accepts a reference to a
33`ParseState` as its argument and returns a `std::optional<resultType>` as a
34result, with the presence or absence of a value in the `std::optional<>`
35signifying success or failure, respectively.
36```
37std::optional<resultType> Parse(ParseState &) const;
38```
39The `resultType` of a parser is typically the class type of some particular
40node type in the parse tree.
41
42`ParseState` is a class that encapsulates a position in the source stream,
43collects messages, and holds a few state flags that determine tokenization
44(e.g., are we in a character literal?).  Instances of `ParseState` are
45independent and complete -- they are cheap to duplicate whenever necessary to
46implement backtracking.
47
48The `constexpr` default constructor of a parser is important.  The functions
49(below) that operate on instances of parsers are themselves all `constexpr`.
50This use of compile-time expressions allows the entirety of a recursive
51descent parser for a language to be constructed at compilation time through
52the use of templates.
53
54### Fundamental Predefined Parsers
55These objects and functions are (or return) the fundamental parsers:
56
57* `ok` is a trivial parser that always succeeds without advancing.
58* `pure(x)` returns a trivial parser that always succeeds without advancing,
59  returning some value `x`.
60* `pure<T>()` is `pure(T{})` but does not require that T be copy-constructible.
61* `fail<T>(msg)` denotes a trivial parser that always fails, emitting the
62  given message as a side effect.  The template parameter is the type of
63  the value that the parser never returns.
64* `nextCh` consumes the next character and returns its location,
65  and fails at EOF.
66* `"xyz"_ch` succeeds if the next character consumed matches any of those
67  in the string and returns its location.  Be advised that the source
68  will have been normalized to lower case (miniscule) letters outside
69  character and Hollerith literals and edit descriptors before parsing.
70
71### Combinators
72These functions and operators combine existing parsers to generate new parsers.
73They are `constexpr`, so they should be viewed as type-safe macros.
74
75* `!p` succeeds if p fails, and fails if p succeeds.
76* `p >> q` fails if p does, otherwise running q and returning its value when
77  it succeeds.
78* `p / q` fails if p does, otherwise running q and returning p's value
79  if q succeeds.
80* `p || q` succeeds if p does, otherwise running q.  The two parsers must
81  have the same type, and the value returned by the first succeeding parser
82  is the value of the combination.
83* `first(p1, p2, ...)` returns the value of the first parser that succeeds.
84  All of the parsers in the list must return the same type.
85  It is essentially the same as `p1 || p2 || ...` but has a slightly
86  faster implementation and may be easier to format in your code.
87* `lookAhead(p)` succeeds if p does, but doesn't modify any state.
88* `attempt(p)` succeeds if p does, safely preserving state on failure.
89* `many(p)` recognizes a greedy sequence of zero or more nonempty successes
90  of p, and returns `std::list<>` of their values.  It always succeeds.
91* `some(p)` recognized a greedy sequence of one or more successes of p.
92  It fails if p immediately fails.
93* `skipMany(p)` is the same as `many(p)`, but it discards the results.
94* `maybe(p)` tries to match p, returning an `std::optional<T>` value.
95  It always succeeds.
96* `defaulted(p)` matches p, and when p fails it returns a
97  default-constructed instance of p's resultType.  It always succeeds.
98* `nonemptySeparated(p, q)` repeatedly matches "p q p q p q ... p",
99  returning a `std::list<>` of only the values of the p's.  It fails if
100  p immediately fails.
101* `extension<feature>([msg,]p)` parses p if strict standard compliance is
102  disabled, or with an optional warning when nonstandard usage warnings
103  are enabled.
104* `deprecated(p)` parses p if strict standard compliance is disabled,
105  with a warning if deprecated usage warnings are enabled.
106* `inContext(msg, p)` runs p within an error message context; any
107  message that `p` generates will be tagged with `msg` as its
108  context.  Contexts may nest.
109* `withMessage(msg, p)` succeeds if `p` does, and if it does not,
110  it discards the messages from `p` and fails with the specified message.
111* `recovery(p, q)` is equivalent to `p || q`, except that error messages
112  generated from the first parser are retained, and a flag is set in
113  the ParseState to remember that error recovery was necessary.
114* `localRecovery(msg, p, q)` is equivalent to
115  `recovery(withMessage(msg, p), q >> pure<A>())` where `A` is the
116  result type of 'p'.
117  It is useful for targeted error recovery situations within statements.
118
119Note that
120```
121a >> b >> c / d / e
122```
123matches a sequence of five parsers, but returns only the result that was
124obtained by matching `c`.
125
126### Applicatives
127The following *applicative* combinators combine parsers and modify or
128collect the values that they return.
129
130* `construct<T>(p1, p2, ...)` matches zero or more parsers in succession,
131  collecting their results and then passing them with move semantics to a
132  constructor for the type T if they all succeed.
133  If there is a single parser as the argument and it returns no usable
134  value but only success or failure (_e.g.,_ `"IF"_tok`), the default
135  nullary constructor of the type `T` is called.
136* `sourced(p)` matches p, and fills in its `source` data member with the
137  locations of the cooked character stream that it consumed
138* `applyFunction(f, p1, p2, ...)` matches one or more parsers in succession,
139  collecting their results and passing them as rvalue reference arguments to
140  some function, returning its result.
141* `applyLambda([](&&x){}, p1, p2, ...)` is the same thing, but for lambdas
142  and other function objects.
143* `applyMem(mf, p1, p2, ...)` is the same thing, but invokes a member
144  function of the result of the first parser.
145
146### Token Parsers
147Last, we have these basic parsers on which the actual grammar of the Fortran
148is built.  All of the following parsers consume characters acquired from
149`nextCh`.
150
151* `space` always succeeds after consuming any spaces
152* `spaceCheck` always succeeds after consuming any spaces, and can emit
153  a warning if there was no space in free form code before a character
154  that could continue a name or keyword
155* `digit` matches one cooked decimal digit (0-9)
156* `letter` matches one cooked letter (A-Z)
157* `"..."_tok` match the content of the string, skipping spaces before and
158  after.  Internal spaces are optional matches.  The `_tok` suffix is
159  optional when the parser appears before the combinator `>>` or after
160  the combinator `/`.  If the quoted string ends in a character that
161  could appear in an identifier, a missing space will be diagnosed in
162  free form source in pedantic mode if the next character could also
163  be part of an identifier -- add a trailing blank to avoid this.
164* `"..."_sptok` is a string match in which the spaces are required in
165   free form source.
166* `"..."_id` is a string match for a complete identifier (not a prefix of
167   a longer identifier or keyword).
168* `parenthesized(p)` is shorthand for `"(" >> p / ")"`.
169* `bracketed(p)` is shorthand for `"[" >> p / "]"`.
170* `nonemptyList(p)` matches a comma-separated list of one or more
171  instances of p.
172* `nonemptyList(errorMessage, p)` is equivalent to
173  `withMessage(errorMessage, nonemptyList(p))`, which allows one to supply
174  a meaningful error message in the event of an empty list.
175* `optionalList(p)` is the same thing, but can be empty, and always succeeds.
176
177### Debugging Parser
178Last, a string literal `"..."_debug` denotes a parser that emits the string to
179`llvm::errs` and succeeds.  It is useful for tracing while debugging a parser but should
180obviously not be committed for production code.
181
182### Messages
183A list of generated error and warning messages is maintained in the `ParseState`.
184The parser combinator that handles alternatives (`||` and `first()`) will
185discard the messages from alternatives that fail when there is an alternative
186that succeeds.
187But when no alternative succeeds, and the alternative parser as a whole is
188failing, the messages that survive are chosen from the alternative that
189recognized any input tokens, if only one alternative did so;
190and when multiple alternatives recognized tokens, the messages from the
191alternative that proceeded the furthest into the input are retained.
192This strategy tends to show the most useful error messages to the user
193in situations where a statement fails to parse.
194