A cleaner API
I've been hacking on this in a different repository, so I thought I'd bring it over here.
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reinstated, you do not qualify to receive new licenses for the same
|
||||
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|
||||
|
||||
9. Acceptance Not Required for Having Copies.
|
||||
|
||||
You are not required to accept this License in order to receive or
|
||||
run a copy of the Program. Ancillary propagation of a covered work
|
||||
occurring solely as a consequence of using peer-to-peer transmission
|
||||
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|
||||
nothing other than this License grants you permission to propagate or
|
||||
modify any covered work. These actions infringe copyright if you do
|
||||
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|
||||
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|
||||
|
||||
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|
||||
|
||||
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|
||||
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|
||||
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|
||||
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|
||||
|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
|
||||
You may not impose any further restrictions on the exercise of the
|
||||
rights granted or affirmed under this License. For example, you may
|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
|
||||
11. Patents.
|
||||
|
||||
A "contributor" is a copyright holder who authorizes use under this
|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
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|
||||
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|
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|
||||
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|
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|
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In the following three paragraphs, a "patent license" is any express
|
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|
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|
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||||
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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A patent license is "discriminatory" if it does not include within
|
||||
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|
||||
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|
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|
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|
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|
||||
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||||
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||||
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||||
12. No Surrender of Others' Freedom.
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If conditions are imposed on you (whether by court order, agreement or
|
||||
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|
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|
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13. Use with the GNU Affero General Public License.
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|
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|
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|
||||
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|
||||
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|
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|
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|
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If the Program specifies that a proxy can decide which future
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|
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|
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|
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|
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EVEN IF SUCH HOLDER OR OTHER PARTY HAS BEEN ADVISED OF THE POSSIBILITY OF
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|
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|
||||
|
||||
If the disclaimer of warranty and limitation of liability provided
|
||||
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|
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|
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|
||||
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|
||||
|
||||
END OF TERMS AND CONDITIONS
|
||||
|
||||
How to Apply These Terms to Your New Programs
|
||||
|
||||
If you develop a new program, and you want it to be of the greatest
|
||||
possible use to the public, the best way to achieve this is to make it
|
||||
free software which everyone can redistribute and change under these terms.
|
||||
|
||||
To do so, attach the following notices to the program. It is safest
|
||||
to attach them to the start of each source file to most effectively
|
||||
state the exclusion of warranty; and each file should have at least
|
||||
the "copyright" line and a pointer to where the full notice is found.
|
||||
|
||||
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|
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Copyright (C) {year} {name of author}
|
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|
||||
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|
||||
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|
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|
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|
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|
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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GNU General Public License for more details.
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||||
|
||||
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|
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along with this program. If not, see <http://www.gnu.org/licenses/>.
|
||||
|
||||
Also add information on how to contact you by electronic and paper mail.
|
||||
|
||||
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|
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|
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|
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|
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|
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|
||||
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|
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MIT License
|
||||
|
||||
Copyright (c) 2024 John Doty
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|
||||
|
|
|
|||
134
README.md
134
README.md
|
|
@ -1,18 +1,126 @@
|
|||
# A collection of LR parser generators, from LR0 through LALR.
|
||||
|
||||
One day I read a tweet, asking for a tool which accepted a grammar and an
|
||||
input file and which then produced simple parsed output, without any kind of
|
||||
in-between. (There was other ranty stuff about how none of the existing tools
|
||||
really worked, but that was beside the point.)
|
||||
This is a small helper library to generate LR parser tables.
|
||||
|
||||
Upon reading the tweet, it occured to me that I didn't know how LR parsers
|
||||
worked and how they were generated, except in the broadest of terms. Thus, I
|
||||
set about writing this, learning as I went.
|
||||
The primary inspiration for this library is tree-sitter, which also generates
|
||||
LR parsers for grammars written in a turing-complete language. Like that, we
|
||||
write grammars in a language, only we do it in Python instead of JavaScript.
|
||||
|
||||
This code is not written to be fast, or even efficient, although it runs its
|
||||
test cases fast enough. It was instead written to be easy to follow along
|
||||
with, so that when I forget how all this works I can come back to the code
|
||||
and read along and learn all over again.
|
||||
Why Python? Because Python 3 is widely pre-installed on MacOS and Linux. This
|
||||
library requires nothing more than the basic standard library, and not even a
|
||||
new version of it. Therefore, it turns out to be a pretty light dependency for
|
||||
a rust or C++ or something kind of project. (Tree-sitter, on the other hand,
|
||||
requires node, which is a far less stable and available runtime in 2024.)
|
||||
|
||||
The parser tables can really be used to power anything. I prefer to make
|
||||
concrete syntax trees (again, see tree-sitter), and there is no facility at all
|
||||
for actions or custom ASTs or whatnot. Any such processing needs to be done by
|
||||
the thing that processes the tables.
|
||||
|
||||
## Making Grammars
|
||||
|
||||
To get started, create a grammar that derives from the `Grammar` class. Create
|
||||
one method per nonterminal, decorated with the `rule` decorator. Here's an
|
||||
example:
|
||||
|
||||
PLUS = Token('+')
|
||||
LPAREN = Token('(')
|
||||
RPAREN = Token(')')
|
||||
ID = Token('id')
|
||||
|
||||
class SimpleGrammar(Grammar):
|
||||
@rule
|
||||
def expression(self):
|
||||
return seq(self.expression, PLUS, self.term) | self.term
|
||||
|
||||
@rule
|
||||
def term(self):
|
||||
return seq(LPAREN, self.expression, RPAREN) | ID
|
||||
|
||||
|
||||
## Using grammars
|
||||
|
||||
TODO
|
||||
|
||||
## Representation Choices
|
||||
|
||||
The SimpleGrammar class might seem a little verbose compared to a dense
|
||||
structure like:
|
||||
|
||||
grammar_simple = [
|
||||
('E', ['E', '+', 'T']),
|
||||
('E', ['T']),
|
||||
('T', ['(', 'E', ')']),
|
||||
('T', ['id']),
|
||||
]
|
||||
|
||||
or
|
||||
|
||||
grammar_simple = {
|
||||
'E': [
|
||||
['E', '+', 'T'],
|
||||
['T'],
|
||||
],
|
||||
'T': [
|
||||
['(', 'E', ')'],
|
||||
['id'],
|
||||
],
|
||||
}
|
||||
|
||||
|
||||
The advantage that the class has over a table like this is that you get to have
|
||||
all of your Python tools help you make sure your grammar is good, if you want
|
||||
them. e.g., if you're working with an LSP or something, the members give you
|
||||
autocomplete and jump-to-definition and possibly even type-checking.
|
||||
|
||||
At the very least, if you mis-type the name of a nonterminal, or forget to
|
||||
implement it, we will immediately raise an error that *INCLUDES THE LOCATION IN
|
||||
THE SOURCE WHERE THE ERROR WAS MADE.* With tables, we can tell you that you
|
||||
made a mistake but it's up to you to figure out where you did it.
|
||||
|
||||
### Aside: What about a custom DSL/EBNF like thing?
|
||||
|
||||
Yeah, OK, there's a rich history of writing your grammar in a domain-specific
|
||||
language. YACC did it, ANTLR does it, GRMTools.... just about everybody except
|
||||
Tree-Sitter does this.
|
||||
|
||||
But look, I've got several reasons for not doing it.
|
||||
|
||||
First, I'm lazy, and don't want to write yet another parser for my parser. What
|
||||
tools should I use to write my parser generator parser? I guess I don't have my
|
||||
parser generator parser yet, so probably a hand-written top down parser? Some
|
||||
other python parser generator? Ugh!
|
||||
|
||||
As an add-on to that, if I make my own format then I need to make tooling for
|
||||
*that* too: syntax highlighters, jump to definition, the works. Yuck. An
|
||||
existing language, and a format that builds on an existing language, gets me the
|
||||
tooling that comes along with that language. If you can leverage that
|
||||
effictively (and I think I have) then you start way ahead in terms of tooling.
|
||||
|
||||
Second, this whole thing is supposed to be easy to include in an existing
|
||||
project, and adding a custom compiler doesn't seem to be that. Adding two python
|
||||
files seems to be about the right speed.
|
||||
|
||||
Thirdly, and this is just hypothetical, it's probably pretty easy to write your
|
||||
own tooling around a grammar if it's already in Python. If you want to make
|
||||
railroad diagrams or EBNF pictures or whatever, all the productions are already
|
||||
right there in data structures for you to process. I've tried to keep them
|
||||
accessible and at least somewhat easy to work with. There's nothing that says a
|
||||
DSL-based system *has* to produce unusable intermediate data- certainly there
|
||||
are some tools that *try*- but with this approach the accessibility and the
|
||||
ergonomics of the tool go hand in hand.
|
||||
|
||||
## Some History
|
||||
|
||||
The first version of this code was written as an idle exercise to learn how LR
|
||||
parser table generation even worked. It was... very simple, fairly easy to
|
||||
follow, and just *incredibly* slow. Like, mind-bogglingly slow. Unusably slow
|
||||
for anything but the most trivial grammar.
|
||||
|
||||
As a result, when I decided I wanted to use it for a larger grammar, I found that
|
||||
I just couldn't. So this has been hacked and significantly improved from that
|
||||
version, now capable of building tables for nontrivial grammars. It could still
|
||||
be a lot faster, but it meets my needs for now.
|
||||
|
||||
(BTW, the notes I read to learn how all this works are at
|
||||
http://dragonbook.stanford.edu/lecture-notes/Stanford-CS143/. Specifically,
|
||||
|
|
@ -20,7 +128,5 @@ I started with handout 8, 'Bottom-up-parsing', and went from there. (I did
|
|||
eventually have to backtrack a little into handout 7, since that's where
|
||||
First() and Follow() are covered.)
|
||||
|
||||
Enjoy!
|
||||
|
||||
doty
|
||||
2016-12-09
|
||||
May 2024
|
||||
|
|
|
|||
622
grammar.py
622
grammar.py
|
|
@ -1,90 +1,5 @@
|
|||
import parser_faster
|
||||
import sys
|
||||
import typing
|
||||
|
||||
from parser_faster import Assoc
|
||||
|
||||
class Token:
|
||||
value: str
|
||||
|
||||
def __init__(self, value):
|
||||
self.value = sys.intern(value)
|
||||
|
||||
Symbol = Token | str
|
||||
|
||||
def desugar(
|
||||
grammar: dict[str, list[list[Symbol]]],
|
||||
precedence: list[typing.Tuple[Assoc, list[Symbol]]],
|
||||
):
|
||||
nonterminal_refs = set()
|
||||
nonterminals = set()
|
||||
terminals = set()
|
||||
|
||||
result: list[typing.Tuple[str, list[str]]] = []
|
||||
for (k, v) in grammar.items():
|
||||
nonterminals.add(k)
|
||||
|
||||
for rule in v:
|
||||
assert isinstance(rule, list)
|
||||
result_rule: list[str] = []
|
||||
for symbol in rule:
|
||||
if isinstance(symbol, Token):
|
||||
result_rule.append(symbol.value)
|
||||
terminals.add(symbol.value)
|
||||
else:
|
||||
result_rule.append(symbol)
|
||||
nonterminal_refs.add(symbol)
|
||||
|
||||
result.append((k, result_rule))
|
||||
|
||||
unknown_rules = nonterminal_refs - nonterminals
|
||||
if len(unknown_rules) > 0:
|
||||
undefined = "\n ".join(unknown_rules)
|
||||
raise Exception(f"The following rules are not defined:\n {undefined}")
|
||||
|
||||
overlap_rules = nonterminals & terminals
|
||||
if len(overlap_rules) > 0:
|
||||
overlap = "\n ".join(overlap_rules)
|
||||
raise Exception(f"The following symbols are both tokens and rules:\n {overlap}")
|
||||
|
||||
result_precedence = {
|
||||
(symbol.value if isinstance(symbol, Token) else symbol):(associativity, precedence + 1)
|
||||
for precedence, (associativity, symbols) in enumerate(precedence)
|
||||
for symbol in symbols
|
||||
}
|
||||
|
||||
return result, result_precedence
|
||||
|
||||
def dump_yacc(grammar):
|
||||
tokens = set()
|
||||
for rules in grammar.values():
|
||||
for rule in rules:
|
||||
for symbol in rule:
|
||||
if symbol.startswith("token:"):
|
||||
symbol = symbol[6:].upper()
|
||||
tokens.add(symbol)
|
||||
for token in sorted(tokens):
|
||||
print(f"%token {token}")
|
||||
|
||||
print()
|
||||
print("%%")
|
||||
|
||||
for name, rules in grammar.items():
|
||||
print(f"{name} : ", end='');
|
||||
for i,rule in enumerate(rules):
|
||||
if i != 0:
|
||||
print(f"{' ' * len(name)} | ", end='')
|
||||
|
||||
parts = []
|
||||
for symbol in rule:
|
||||
if symbol.startswith("token:"):
|
||||
symbol = symbol[6:].upper()
|
||||
parts.append(symbol)
|
||||
print(' '.join(parts))
|
||||
print()
|
||||
|
||||
print("%%")
|
||||
|
||||
# This is an example grammar.
|
||||
from parser import Assoc, Grammar, Nothing, Token, rule, seq
|
||||
|
||||
ARROW = Token("Arrow")
|
||||
AS = Token("As")
|
||||
|
|
@ -136,7 +51,9 @@ LSQUARE = Token("LeftBracket")
|
|||
RSQUARE = Token("RightBracket")
|
||||
|
||||
|
||||
# fmt: off
|
||||
class FineGrammar(Grammar):
|
||||
def __init__(self):
|
||||
super().__init__(
|
||||
precedence=[
|
||||
(Assoc.RIGHT, [EQUAL]),
|
||||
(Assoc.LEFT, [OR]),
|
||||
|
|
@ -146,280 +63,327 @@ precedence = [
|
|||
(Assoc.LEFT, [LESS, GREATER, GREATEREQUAL, LESSEQUAL]),
|
||||
(Assoc.LEFT, [PLUS, MINUS]),
|
||||
(Assoc.LEFT, [STAR, SLASH]),
|
||||
(Assoc.LEFT, ["PrimaryExpression"]),
|
||||
(Assoc.LEFT, [self.primary_expression]),
|
||||
(Assoc.LEFT, [LPAREN]),
|
||||
(Assoc.LEFT, [DOT]),
|
||||
|
||||
# If there's a confusion about whether to make an IF statement or an
|
||||
# expression, prefer the statement.
|
||||
(Assoc.NONE, ["IfStatement"]),
|
||||
#
|
||||
# If there's a confusion about whether to make an IF
|
||||
# statement or an expression, prefer the statement.
|
||||
#
|
||||
(Assoc.NONE, [self.if_statement]),
|
||||
]
|
||||
)
|
||||
|
||||
grammar = {
|
||||
"File": [
|
||||
["FileStatementList"],
|
||||
],
|
||||
"FileStatementList": [
|
||||
["FileStatement"],
|
||||
["FileStatement", "FileStatementList"],
|
||||
],
|
||||
"FileStatement": [
|
||||
["ImportStatement"],
|
||||
["ClassDeclaration"],
|
||||
["ExportStatement"],
|
||||
["Statement"],
|
||||
],
|
||||
@rule
|
||||
def file(self):
|
||||
return self.file_statement_list
|
||||
|
||||
"ImportStatement": [
|
||||
[IMPORT, STRING, AS, IDENTIFIER, SEMICOLON],
|
||||
],
|
||||
@rule
|
||||
def file_statement_list(self):
|
||||
return self.file_statement | (self.file_statement_list + self.file_statement)
|
||||
|
||||
# Classes
|
||||
"ClassDeclaration": [
|
||||
[CLASS, IDENTIFIER, "ClassBody"],
|
||||
],
|
||||
"ClassBody": [
|
||||
[LCURLY, RCURLY],
|
||||
[LCURLY, "ClassMembers", RCURLY],
|
||||
],
|
||||
"ClassMembers": [
|
||||
["ClassMember"],
|
||||
["ClassMembers", "ClassMember"],
|
||||
],
|
||||
"ClassMember": [
|
||||
["FieldDeclaration"],
|
||||
["FunctionDeclaration"],
|
||||
],
|
||||
"FieldDeclaration": [
|
||||
[IDENTIFIER, COLON, "TypeExpression", SEMICOLON],
|
||||
],
|
||||
@rule
|
||||
def file_statement(self):
|
||||
return (
|
||||
self.import_statement | self.class_declaration | self.export_statement | self.statement
|
||||
)
|
||||
|
||||
@rule
|
||||
def import_statement(self):
|
||||
return seq(IMPORT, STRING, AS, IDENTIFIER, SEMICOLON)
|
||||
|
||||
@rule
|
||||
def class_declaration(self):
|
||||
return seq(CLASS, IDENTIFIER, self.class_body)
|
||||
|
||||
@rule
|
||||
def class_body(self):
|
||||
return seq(LCURLY, RCURLY) | seq(LCURLY, self.class_members, RCURLY)
|
||||
|
||||
@rule
|
||||
def class_members(self):
|
||||
return self.class_member | seq(self.class_members, self.class_member)
|
||||
|
||||
@rule
|
||||
def class_member(self):
|
||||
return self.field_declaration | self.function_declaration
|
||||
|
||||
@rule
|
||||
def field_declaration(self):
|
||||
return seq(IDENTIFIER, COLON, self.type_expression, SEMICOLON)
|
||||
|
||||
# Types
|
||||
"TypeExpression": [
|
||||
["AlternateType"],
|
||||
["TypeIdentifier"],
|
||||
],
|
||||
"AlternateType": [
|
||||
["TypeExpression", BAR, "TypeIdentifier"],
|
||||
],
|
||||
"TypeIdentifier": [
|
||||
[IDENTIFIER],
|
||||
],
|
||||
@rule
|
||||
def type_expression(self):
|
||||
return self.alternate_type | self.type_identifier
|
||||
|
||||
"ExportStatement": [
|
||||
[EXPORT, "ClassDeclaration"],
|
||||
[EXPORT, "FunctionDeclaration"],
|
||||
[EXPORT, "LetStatement"],
|
||||
[EXPORT, "ExportList", SEMICOLON],
|
||||
],
|
||||
"ExportList": [
|
||||
[],
|
||||
[IDENTIFIER],
|
||||
[IDENTIFIER, COMMA, "ExportList"],
|
||||
],
|
||||
@rule
|
||||
def alternate_type(self):
|
||||
return seq(self.type_expression, BAR, self.type_identifier)
|
||||
|
||||
@rule
|
||||
def type_identifier(self):
|
||||
return IDENTIFIER
|
||||
|
||||
@rule
|
||||
def export_statement(self):
|
||||
return (
|
||||
seq(EXPORT, self.class_declaration)
|
||||
| seq(EXPORT, self.function_declaration)
|
||||
| seq(EXPORT, self.let_statement)
|
||||
| seq(EXPORT, self.export_list, SEMICOLON)
|
||||
)
|
||||
|
||||
@rule
|
||||
def export_list(self):
|
||||
return Nothing | IDENTIFIER | seq(IDENTIFIER, COMMA, self.export_list)
|
||||
|
||||
# Functions
|
||||
"FunctionDeclaration": [
|
||||
[FUN, IDENTIFIER, "FunctionParameters", "Block"],
|
||||
[FUN, IDENTIFIER, "FunctionParameters", ARROW, "TypeExpression", "Block"],
|
||||
],
|
||||
"FunctionParameters": [
|
||||
[LPAREN, RPAREN],
|
||||
[LPAREN, "FirstParameter", RPAREN],
|
||||
[LPAREN, "FirstParameter", COMMA, "ParameterList", RPAREN],
|
||||
],
|
||||
"FirstParameter": [
|
||||
[SELF],
|
||||
["Parameter"],
|
||||
],
|
||||
"ParameterList": [
|
||||
[],
|
||||
["Parameter"],
|
||||
["Parameter", COMMA, "ParameterList"],
|
||||
],
|
||||
"Parameter": [
|
||||
[IDENTIFIER, COLON, "TypeExpression"],
|
||||
],
|
||||
@rule
|
||||
def function_declaration(self):
|
||||
return seq(FUN, IDENTIFIER, self.function_parameters, self.block) | seq(
|
||||
FUN, IDENTIFIER, self.function_parameters, ARROW, self.type_expression, self.block
|
||||
)
|
||||
|
||||
@rule
|
||||
def function_parameters(self):
|
||||
return (
|
||||
seq(LPAREN, RPAREN)
|
||||
| seq(LPAREN, self.first_parameter, RPAREN)
|
||||
| seq(LPAREN, self.first_parameter, COMMA, self.parameter_list, RPAREN)
|
||||
)
|
||||
|
||||
@rule
|
||||
def first_parameter(self):
|
||||
return SELF | self.parameter
|
||||
|
||||
@rule
|
||||
def parameter_list(self):
|
||||
return Nothing | self.parameter | seq(self.parameter, COMMA, self.parameter_list)
|
||||
|
||||
@rule
|
||||
def parameter(self):
|
||||
return seq(IDENTIFIER, COLON, self.type_expression)
|
||||
|
||||
# Block
|
||||
"Block": [
|
||||
[LCURLY, RCURLY],
|
||||
[LCURLY, "StatementList", RCURLY],
|
||||
[LCURLY, "StatementList", "Expression", RCURLY],
|
||||
],
|
||||
"StatementList": [
|
||||
["Statement"],
|
||||
["StatementList", "Statement"],
|
||||
],
|
||||
@rule
|
||||
def block(self):
|
||||
return (
|
||||
seq(LCURLY, RCURLY)
|
||||
| seq(LCURLY, self.statement_list, RCURLY)
|
||||
| seq(LCURLY, self.statement_list, self.expression, RCURLY)
|
||||
)
|
||||
|
||||
"Statement": [
|
||||
["FunctionDeclaration"],
|
||||
["LetStatement"],
|
||||
["ReturnStatement"],
|
||||
["ForStatement"],
|
||||
["IfStatement"],
|
||||
["WhileStatement"],
|
||||
["ExpressionStatement"],
|
||||
],
|
||||
@rule
|
||||
def statement_list(self):
|
||||
return self.statement | seq(self.statement_list, self.statement)
|
||||
|
||||
"LetStatement": [
|
||||
[LET, IDENTIFIER, EQUAL, "Expression", SEMICOLON],
|
||||
],
|
||||
@rule
|
||||
def statement(self):
|
||||
return (
|
||||
self.function_declaration
|
||||
| self.let_statement
|
||||
| self.return_statement
|
||||
| self.for_statement
|
||||
| self.if_statement
|
||||
| self.while_statement
|
||||
| self.expression_statement
|
||||
)
|
||||
|
||||
"ReturnStatement": [
|
||||
[RETURN, "Expression", SEMICOLON],
|
||||
],
|
||||
@rule
|
||||
def let_statement(self):
|
||||
return seq(LET, IDENTIFIER, EQUAL, self.expression, SEMICOLON)
|
||||
|
||||
"ForStatement": [
|
||||
[FOR, "IteratorVariable", IN, "Expression", "Block"],
|
||||
],
|
||||
"IteratorVariable": [[IDENTIFIER]],
|
||||
@rule
|
||||
def return_statement(self):
|
||||
return seq(RETURN, self.expression, SEMICOLON)
|
||||
|
||||
"IfStatement": [["ConditionalExpression"]],
|
||||
@rule
|
||||
def for_statement(self):
|
||||
return seq(FOR, self.iterator_variable, IN, self.expression, self.block)
|
||||
|
||||
"WhileStatement": [
|
||||
[WHILE, "Expression", "Block"],
|
||||
],
|
||||
@rule
|
||||
def iterator_variable(self):
|
||||
return IDENTIFIER
|
||||
|
||||
"ExpressionStatement": [
|
||||
["Expression", SEMICOLON],
|
||||
],
|
||||
@rule
|
||||
def if_statement(self):
|
||||
return self.conditional_expression
|
||||
|
||||
@rule
|
||||
def while_statement(self):
|
||||
return seq(WHILE, self.expression, self.block)
|
||||
|
||||
@rule
|
||||
def expression_statement(self):
|
||||
return seq(self.expression, SEMICOLON)
|
||||
|
||||
# Expressions
|
||||
"Expression": [["AssignmentExpression"]],
|
||||
@rule
|
||||
def expression(self):
|
||||
return self.assignment_expression
|
||||
|
||||
"AssignmentExpression": [
|
||||
["OrExpression", EQUAL, "AssignmentExpression"],
|
||||
["OrExpression"],
|
||||
],
|
||||
"OrExpression": [
|
||||
["OrExpression", OR, "IsExpression"],
|
||||
["IsExpression"],
|
||||
],
|
||||
"IsExpression": [
|
||||
["IsExpression", IS, "Pattern"],
|
||||
["AndExpression"],
|
||||
],
|
||||
"AndExpression": [
|
||||
["AndExpression", AND, "EqualityExpression"],
|
||||
["EqualityExpression"],
|
||||
],
|
||||
"EqualityExpression": [
|
||||
["EqualityExpression", EQUALEQUAL, "RelationExpression"],
|
||||
["EqualityExpression", BANGEQUAL, "RelationExpression"],
|
||||
["RelationExpression"],
|
||||
],
|
||||
"RelationExpression": [
|
||||
["RelationExpression", LESS, "AdditiveExpression"],
|
||||
["RelationExpression", LESSEQUAL, "AdditiveExpression"],
|
||||
["RelationExpression", GREATER, "AdditiveExpression"],
|
||||
["RelationExpression", GREATEREQUAL, "AdditiveExpression"],
|
||||
["AdditiveExpression"],
|
||||
],
|
||||
"AdditiveExpression": [
|
||||
["AdditiveExpression", PLUS, "MultiplicationExpression"],
|
||||
["AdditiveExpression", MINUS, "MultiplicationExpression"],
|
||||
["MultiplicationExpression"],
|
||||
],
|
||||
"MultiplicationExpression": [
|
||||
["MultiplicationExpression", STAR, "PrimaryExpression"],
|
||||
["MultiplicationExpression", SLASH, "PrimaryExpression"],
|
||||
["PrimaryExpression"],
|
||||
],
|
||||
"PrimaryExpression": [
|
||||
[IDENTIFIER],
|
||||
[SELF],
|
||||
[NUMBER],
|
||||
[STRING],
|
||||
[TRUE],
|
||||
[FALSE],
|
||||
[BANG, "PrimaryExpression"],
|
||||
[MINUS, "PrimaryExpression"],
|
||||
@rule
|
||||
def assignment_expression(self):
|
||||
return seq(self.or_expression, EQUAL, self.assignment_expression) | self.or_expression
|
||||
|
||||
["Block"],
|
||||
["ConditionalExpression"],
|
||||
["ListConstructorExpression"],
|
||||
["ObjectConstructorExpression"],
|
||||
["MatchExpression"],
|
||||
@rule
|
||||
def or_expression(self):
|
||||
return seq(self.or_expression, OR, self.is_expression) | self.is_expression
|
||||
|
||||
["PrimaryExpression", LPAREN, "ExpressionList", RPAREN],
|
||||
["PrimaryExpression", DOT, IDENTIFIER],
|
||||
@rule
|
||||
def is_expression(self):
|
||||
return seq(self.is_expression, IS, self.pattern) | self.and_expression
|
||||
|
||||
[LPAREN, "Expression", RPAREN],
|
||||
],
|
||||
@rule
|
||||
def and_expression(self):
|
||||
return seq(self.and_expression, AND, self.equality_expression) | self.equality_expression
|
||||
|
||||
"ConditionalExpression": [
|
||||
[IF, "Expression", "Block"],
|
||||
[IF, "Expression", "Block", ELSE, "ConditionalExpression"],
|
||||
[IF, "Expression", "Block", ELSE, "Block"],
|
||||
],
|
||||
@rule
|
||||
def equality_expression(self):
|
||||
return (
|
||||
seq(self.equality_expression, EQUALEQUAL, self.relation_expression)
|
||||
| seq(self.equality_expression, BANGEQUAL, self.relation_expression)
|
||||
| self.relation_expression
|
||||
)
|
||||
|
||||
"ListConstructorExpression": [
|
||||
[LSQUARE, RSQUARE],
|
||||
[LSQUARE, "ExpressionList", RSQUARE],
|
||||
],
|
||||
@rule
|
||||
def relation_expression(self):
|
||||
return (
|
||||
seq(self.relation_expression, LESS, self.additive_expression)
|
||||
| seq(self.relation_expression, LESSEQUAL, self.additive_expression)
|
||||
| seq(self.relation_expression, GREATER, self.additive_expression)
|
||||
| seq(self.relation_expression, GREATEREQUAL, self.additive_expression)
|
||||
)
|
||||
|
||||
"ExpressionList": [
|
||||
["Expression"],
|
||||
["Expression", COMMA],
|
||||
["Expression", COMMA, "ExpressionList"],
|
||||
],
|
||||
@rule
|
||||
def additive_expression(self):
|
||||
return (
|
||||
seq(self.additive_expression, PLUS, self.multiplication_expression)
|
||||
| seq(self.additive_expression, MINUS, self.multiplication_expression)
|
||||
| self.multiplication_expression
|
||||
)
|
||||
|
||||
# Match Expression
|
||||
"MatchExpression": [
|
||||
[MATCH, "MatchBody"],
|
||||
],
|
||||
"MatchBody": [
|
||||
[LCURLY, RCURLY],
|
||||
[LCURLY, "MatchArms", RCURLY],
|
||||
],
|
||||
"MatchArms": [
|
||||
["MatchArm"],
|
||||
["MatchArm", COMMA],
|
||||
["MatchArm", COMMA, "MatchArms"],
|
||||
],
|
||||
"MatchArm": [
|
||||
["Pattern", ARROW, "Expression"],
|
||||
],
|
||||
@rule
|
||||
def multiplication_expression(self):
|
||||
return (
|
||||
seq(self.multiplication_expression, STAR, self.primary_expression)
|
||||
| seq(self.multiplication_expression, SLASH, self.primary_expression)
|
||||
| self.primary_expression
|
||||
)
|
||||
|
||||
# Pattern
|
||||
"Pattern": [
|
||||
["VariableBinding", "PatternCore", AND, "AndExpression"],
|
||||
["VariableBinding", "PatternCore"],
|
||||
["PatternCore", AND, "AndExpression"],
|
||||
["PatternCore"],
|
||||
],
|
||||
"PatternCore": [
|
||||
["TypeExpression"],
|
||||
["WildcardPattern"],
|
||||
],
|
||||
"WildcardPattern": [[UNDERSCORE]],
|
||||
"VariableBinding": [[IDENTIFIER, COLON]],
|
||||
@rule
|
||||
def primary_expression(self):
|
||||
return (
|
||||
IDENTIFIER
|
||||
| SELF
|
||||
| NUMBER
|
||||
| STRING
|
||||
| TRUE
|
||||
| FALSE
|
||||
| seq(BANG, self.primary_expression)
|
||||
| seq(MINUS, self.primary_expression)
|
||||
| self.block
|
||||
| self.conditional_expression
|
||||
| self.list_constructor_expression
|
||||
| self.object_constructor_expression
|
||||
| self.match_expression
|
||||
| seq(self.primary_expression, LPAREN, self.expression_list, RPAREN)
|
||||
| seq(self.primary_expression, DOT, IDENTIFIER)
|
||||
| seq(LPAREN, self.expression, RPAREN)
|
||||
)
|
||||
|
||||
# Object Constructor
|
||||
"ObjectConstructorExpression": [
|
||||
[NEW, "TypeIdentifier", "FieldList"],
|
||||
],
|
||||
"FieldList": [
|
||||
[LCURLY, RCURLY],
|
||||
[LCURLY, "FieldValues", RCURLY],
|
||||
],
|
||||
"FieldValues": [
|
||||
["FieldValue"],
|
||||
["FieldValue", COMMA],
|
||||
["FieldValue", COMMA, "FieldValues"],
|
||||
],
|
||||
"FieldValue": [
|
||||
[IDENTIFIER],
|
||||
[IDENTIFIER, COLON, "Expression"],
|
||||
],
|
||||
}
|
||||
# fmt: on
|
||||
@rule
|
||||
def conditional_expression(self):
|
||||
return (
|
||||
seq(IF, self.expression, self.block)
|
||||
| seq(IF, self.expression, self.block, ELSE, self.conditional_expression)
|
||||
| seq(IF, self.expression, self.block, ELSE, self.block)
|
||||
)
|
||||
|
||||
@rule
|
||||
def list_constructor_expression(self):
|
||||
return seq(LSQUARE, RSQUARE) | seq(LSQUARE, self.expression_list, RSQUARE)
|
||||
|
||||
@rule
|
||||
def expression_list(self):
|
||||
return (
|
||||
self.expression
|
||||
| seq(self.expression, COMMA)
|
||||
| seq(self.expression, COMMA, self.expression_list)
|
||||
)
|
||||
|
||||
@rule
|
||||
def match_expression(self):
|
||||
return seq(MATCH, self.match_body)
|
||||
|
||||
@rule
|
||||
def match_body(self):
|
||||
return seq(LCURLY, RCURLY) | seq(LCURLY, self.match_arms, RCURLY)
|
||||
|
||||
@rule
|
||||
def match_arms(self):
|
||||
return (
|
||||
self.match_arm
|
||||
| seq(self.match_arm, COMMA)
|
||||
| seq(self.match_arm, COMMA, self.match_arms)
|
||||
)
|
||||
|
||||
@rule
|
||||
def match_arm(self):
|
||||
return seq(self.pattern, ARROW, self.expression)
|
||||
|
||||
@rule
|
||||
def pattern(self):
|
||||
return (
|
||||
seq(self.variable_binding, self.pattern_core, AND, self.and_expression)
|
||||
| seq(self.variable_binding, self.pattern_core)
|
||||
| seq(self.pattern_core, AND, self.and_expression)
|
||||
| self.pattern_core
|
||||
)
|
||||
|
||||
@rule
|
||||
def pattern_core(self):
|
||||
return self.type_expression | self.wildcard_pattern
|
||||
|
||||
@rule
|
||||
def wildcard_pattern(self):
|
||||
return UNDERSCORE
|
||||
|
||||
@rule
|
||||
def variable_binding(self):
|
||||
return seq(IDENTIFIER, COLON)
|
||||
|
||||
@rule
|
||||
def object_constructor_expression(self):
|
||||
return seq(NEW, self.type_identifier, self.field_list)
|
||||
|
||||
@rule
|
||||
def field_list(self):
|
||||
return seq(LCURLY, RCURLY) | seq(LCURLY, self.field_values, RCURLY)
|
||||
|
||||
@rule
|
||||
def field_values(self):
|
||||
return (
|
||||
self.field_value
|
||||
| seq(self.field_value, COMMA)
|
||||
| seq(self.field_value, COMMA, self.field_values)
|
||||
)
|
||||
|
||||
@rule
|
||||
def field_value(self):
|
||||
return IDENTIFIER | seq(IDENTIFIER, COLON, self.expression)
|
||||
|
||||
|
||||
grammar = FineGrammar()
|
||||
table = grammar.build_table(start="file")
|
||||
|
||||
print(f"{len(table)} states")
|
||||
|
||||
average_entries = sum(len(row) for row in table) / len(table)
|
||||
max_entries = max(len(row) for row in table)
|
||||
print(f"{average_entries} average, {max_entries} max")
|
||||
|
||||
# dump_yacc(grammar)
|
||||
grammar, precedence = desugar(grammar, precedence)
|
||||
gen = parser_faster.GenerateLR1("File", grammar, precedence=precedence)
|
||||
gen.gen_table()
|
||||
# print(parser_faster.format_table(gen, table))
|
||||
# print()
|
||||
# tree = parse(table, ["id", "+", "(", "id", "[", "id", "]", ")"])
|
||||
|
|
|
|||
853
historical/parser.py
Normal file
853
historical/parser.py
Normal file
|
|
@ -0,0 +1,853 @@
|
|||
"""A collection of LR parser generators, from LR0 through LALR.
|
||||
|
||||
One day I read a tweet, asking for a tool which accepted a grammar and an
|
||||
input file and which then produced simple parsed output, without any kind of
|
||||
in-between. (There was other ranty stuff about how none of the existing tools
|
||||
really worked, but that was beside the point.)
|
||||
|
||||
Upon reading the tweet, it occured to me that I didn't know how LR parsers
|
||||
worked and how they were generated, except in the broadest of terms. Thus, I
|
||||
set about writing this, learning as I went.
|
||||
|
||||
This code is not written to be fast, or even efficient, although it runs its
|
||||
test cases fast enough. It was instead written to be easy to follow along
|
||||
with, so that when I forget how all this works I can come back to the code
|
||||
and read along and learn all over again.
|
||||
|
||||
(BTW, the notes I read to learn how all this works are at
|
||||
http://dragonbook.stanford.edu/lecture-notes/Stanford-CS143/. Specifically,
|
||||
I started with handout 8, 'Bottom-up-parsing', and went from there. (I did
|
||||
eventually have to backtrack a little into handout 7, since that's where
|
||||
First() and Follow() are covered.)
|
||||
|
||||
Enjoy!
|
||||
|
||||
doty
|
||||
2016-12-09
|
||||
"""
|
||||
|
||||
from collections import namedtuple
|
||||
|
||||
|
||||
###############################################################################
|
||||
# LR0
|
||||
#
|
||||
# We start with LR0 parsers, because they form the basis of everything else.
|
||||
###############################################################################
|
||||
class Configuration(namedtuple("Configuration", ["name", "symbols", "position", "lookahead"])):
|
||||
"""A rule being tracked in a state.
|
||||
|
||||
(Note: technically, lookahead isn't used until we get to LR(1) parsers,
|
||||
but if left at its default it's harmless. Ignore it until you get to
|
||||
the part about LR(1).)
|
||||
"""
|
||||
|
||||
__slots__ = ()
|
||||
|
||||
@classmethod
|
||||
def from_rule(cls, rule, lookahead=()):
|
||||
return Configuration(
|
||||
name=rule[0],
|
||||
symbols=rule[1],
|
||||
position=0,
|
||||
lookahead=lookahead,
|
||||
)
|
||||
|
||||
@property
|
||||
def at_end(self):
|
||||
return self.position == len(self.symbols)
|
||||
|
||||
@property
|
||||
def next(self):
|
||||
return self.symbols[self.position] if not self.at_end else None
|
||||
|
||||
@property
|
||||
def rest(self):
|
||||
return self.symbols[(self.position + 1) :]
|
||||
|
||||
def at_symbol(self, symbol):
|
||||
return self.next == symbol
|
||||
|
||||
def replace(self, **kwargs):
|
||||
return self._replace(**kwargs)
|
||||
|
||||
def __str__(self):
|
||||
la = ", " + str(self.lookahead) if self.lookahead != () else ""
|
||||
return "{name} -> {bits}{lookahead}".format(
|
||||
name=self.name,
|
||||
bits=" ".join(
|
||||
["* " + sym if i == self.position else sym for i, sym in enumerate(self.symbols)]
|
||||
)
|
||||
+ (" *" if self.at_end else ""),
|
||||
lookahead=la,
|
||||
)
|
||||
|
||||
|
||||
class GenerateLR0(object):
|
||||
"""Generate parser tables for an LR0 parser.
|
||||
|
||||
The input grammars are of the form:
|
||||
|
||||
grammar_simple = [
|
||||
('E', ['E', '+', 'T']),
|
||||
('E', ['T']),
|
||||
('T', ['(', 'E', ')']),
|
||||
('T', ['id']),
|
||||
]
|
||||
|
||||
Which is to say, they are a list of productions. Each production is a
|
||||
tuple where the first element of the tuple is the name of the
|
||||
non-terminal being added, and the second elment of the tuple is the
|
||||
list of terminals and non-terminals that make up the production.
|
||||
|
||||
There is currently no support for custom actions or alternation or
|
||||
anything like that. If you want alternations that you'll have to lower
|
||||
the grammar by hand into the simpler form first.
|
||||
|
||||
Don't name anything with double-underscores; those are reserved for
|
||||
the generator. Don't add '$' either, as it is reserved to mean
|
||||
end-of-stream. Use an empty list to indicate nullability, that is:
|
||||
|
||||
('O', []),
|
||||
|
||||
means that O can be matched with nothing.
|
||||
|
||||
Implementation notes:
|
||||
- This is implemented in the dumbest way possible, in order to be the
|
||||
most understandable it can be. I built this to learn, and I want to
|
||||
make sure I can keep learning with it.
|
||||
|
||||
- We tend to use tuples everywhere. This is because tuples can be
|
||||
compared for equality and put into tables and all that jazz. They might
|
||||
be a little bit slower in places but like I said, this is for
|
||||
learning. (Also, if we need this to run faster we can probably go a
|
||||
long way by memoizing results, which is much easier if we have tuples
|
||||
everywhere.)
|
||||
"""
|
||||
|
||||
def __init__(self, start, grammar):
|
||||
"""Initialize the parser generator with the specified grammar and
|
||||
start symbol.
|
||||
"""
|
||||
# We always store the "augmented" grammar, which contains an initial
|
||||
# production for the start state. grammar[0] is always the start
|
||||
# rule, and in the set of states and table and whatever the first
|
||||
# element is always the starting state/position.
|
||||
self.grammar = [("__start", [start])] + grammar
|
||||
self.nonterminals = {rule[0] for rule in grammar}
|
||||
self.terminals = {
|
||||
sym for name, symbols in grammar for sym in symbols if sym not in self.nonterminals
|
||||
}
|
||||
self.alphabet = self.terminals | self.nonterminals
|
||||
|
||||
# Check to make sure they didn't use anything that will give us
|
||||
# heartburn later.
|
||||
reserved = [a for a in self.alphabet if a.startswith("__") or a == "$"]
|
||||
if reserved:
|
||||
raise ValueError(
|
||||
"Can't use {symbols} in grammars, {what} reserved.".format(
|
||||
symbols=" or ".join(reserved),
|
||||
what="it's" if len(reserved) == 1 else "they're",
|
||||
)
|
||||
)
|
||||
|
||||
self.terminals.add("$")
|
||||
self.alphabet.add("$")
|
||||
|
||||
def gen_closure_next(self, config):
|
||||
"""Return the next set of configurations in the closure for
|
||||
config.
|
||||
|
||||
If the position for config is just before a non-terminal, then the
|
||||
next set of configurations is configurations for all of the
|
||||
productions for that non-terminal, with the position at the
|
||||
beginning. (If the position for config is just before a terminal,
|
||||
or at the end of the production, then the next set is empty.)
|
||||
"""
|
||||
if config.at_end:
|
||||
return ()
|
||||
else:
|
||||
return tuple(
|
||||
Configuration.from_rule(rule) for rule in self.grammar if rule[0] == config.next
|
||||
)
|
||||
|
||||
def gen_closure(self, config, closure):
|
||||
"""Compute the closure for the specified config and unify it with the
|
||||
existing closure.
|
||||
|
||||
If the provided config is already in the closure then nothing is
|
||||
done. (We assume that the closure of the config is *also* already in
|
||||
the closure.)
|
||||
"""
|
||||
if config in closure:
|
||||
return closure
|
||||
else:
|
||||
new_closure = tuple(closure) + (config,)
|
||||
for next_config in self.gen_closure_next(config):
|
||||
new_closure = self.gen_closure(next_config, new_closure)
|
||||
return new_closure
|
||||
|
||||
def gen_successor(self, config_set, symbol):
|
||||
"""Compute the successor state for the given config set and the
|
||||
given symbol.
|
||||
|
||||
The successor represents the next state of the parser after seeing
|
||||
the symbol.
|
||||
"""
|
||||
seeds = [
|
||||
config.replace(position=config.position + 1)
|
||||
for config in config_set
|
||||
if config.at_symbol(symbol)
|
||||
]
|
||||
|
||||
closure = ()
|
||||
for seed in seeds:
|
||||
closure = self.gen_closure(seed, closure)
|
||||
|
||||
return closure
|
||||
|
||||
def gen_all_successors(self, config_set):
|
||||
"""Return all of the non-empty successors for the given config set."""
|
||||
next = []
|
||||
for symbol in self.alphabet:
|
||||
successor = self.gen_successor(config_set, symbol)
|
||||
if len(successor) > 0:
|
||||
next.append(successor)
|
||||
|
||||
return tuple(next)
|
||||
|
||||
def gen_sets(self, config_set, F):
|
||||
"""Recursively generate all configuration sets starting from the
|
||||
provided set, and merge them with the provided set 'F'.
|
||||
"""
|
||||
if config_set in F:
|
||||
return F
|
||||
else:
|
||||
new_F = F + (config_set,)
|
||||
for successor in self.gen_all_successors(config_set):
|
||||
new_F = self.gen_sets(successor, new_F)
|
||||
|
||||
return new_F
|
||||
|
||||
def gen_all_sets(self):
|
||||
"""Generate all of the configuration sets for the grammar."""
|
||||
initial_set = self.gen_closure(
|
||||
Configuration.from_rule(self.grammar[0]),
|
||||
(),
|
||||
)
|
||||
return self.gen_sets(initial_set, ())
|
||||
|
||||
def find_set_index(self, sets, set):
|
||||
"""Find the specified set in the set of sets, and return the
|
||||
index, or None if it is not found.
|
||||
"""
|
||||
for i, s in enumerate(sets):
|
||||
if s == set:
|
||||
return i
|
||||
return None
|
||||
|
||||
def gen_reduce_set(self, config):
|
||||
"""Return the set of symbols that indicate we should reduce the given
|
||||
configuration.
|
||||
|
||||
In an LR0 parser, this is just the set of all terminals."""
|
||||
return self.terminals
|
||||
|
||||
def gen_table(self):
|
||||
"""Generate the parse table.
|
||||
|
||||
The parse table is a list of states. The first state in the list is
|
||||
the starting state. Each state is a dictionary that maps a symbol to an
|
||||
action. Each action is a tuple. The first element of the tuple is a
|
||||
string describing what to do:
|
||||
|
||||
- 'shift': The second element of the tuple is the state
|
||||
number. Consume the input and push that state onto the stack.
|
||||
|
||||
- 'reduce': The second element is the name of the non-terminal being
|
||||
reduced, and the third element is the number of states to remove
|
||||
from the stack. Don't consume the input; just remove the specified
|
||||
number of things from the stack, and then consult the table again,
|
||||
this time using the new top-of-stack as the current state and the
|
||||
name of the non-terminal to find out what to do.
|
||||
|
||||
- 'goto': The second element is the state number to push onto the
|
||||
stack. In the literature, these entries are treated distinctly from
|
||||
the actions, but we mix them here because they never overlap with the
|
||||
other actions. (These are always associated with non-terminals, and
|
||||
the other actions are always associated with terminals.)
|
||||
|
||||
- 'accept': Accept the result of the parse, it worked.
|
||||
|
||||
Anything missing from the row indicates an error.
|
||||
"""
|
||||
action_table = []
|
||||
config_sets = self.gen_all_sets()
|
||||
for config_set in config_sets:
|
||||
actions = {}
|
||||
|
||||
# Actions
|
||||
for config in config_set:
|
||||
if config.at_end:
|
||||
if config.name != "__start":
|
||||
for a in self.gen_reduce_set(config):
|
||||
self.set_table_action(
|
||||
actions,
|
||||
a,
|
||||
("reduce", config.name, len(config.symbols)),
|
||||
config,
|
||||
)
|
||||
else:
|
||||
self.set_table_action(
|
||||
actions,
|
||||
"$",
|
||||
("accept",),
|
||||
config,
|
||||
)
|
||||
|
||||
else:
|
||||
if config.next in self.terminals:
|
||||
successor = self.gen_successor(config_set, config.next)
|
||||
index = self.find_set_index(config_sets, successor)
|
||||
self.set_table_action(
|
||||
actions,
|
||||
config.next,
|
||||
("shift", index),
|
||||
config,
|
||||
)
|
||||
|
||||
# Gotos
|
||||
for symbol in self.nonterminals:
|
||||
successor = self.gen_successor(config_set, symbol)
|
||||
index = self.find_set_index(config_sets, successor)
|
||||
if index is not None:
|
||||
self.set_table_action(
|
||||
actions,
|
||||
symbol,
|
||||
("goto", index),
|
||||
None,
|
||||
)
|
||||
|
||||
# set_table_action stores the configs that generated the actions in
|
||||
# the table, for diagnostic purposes. This filters them out again
|
||||
# so that the parser has something clean to work with.
|
||||
actions = {k: self.get_table_action(actions, k) for k in actions}
|
||||
action_table.append(actions)
|
||||
|
||||
return action_table
|
||||
|
||||
def set_table_action(self, row, symbol, action, config):
|
||||
"""Set the action for 'symbol' in the table row to 'action'.
|
||||
|
||||
This is destructive; it changes the table. It raises an error if
|
||||
there is already an action for the symbol in the row.
|
||||
"""
|
||||
existing, existing_config = row.get(symbol, (None, None))
|
||||
if existing is not None and existing != action:
|
||||
config_old = str(existing_config)
|
||||
config_new = str(config)
|
||||
max_len = max(len(config_old), len(config_new)) + 1
|
||||
error = (
|
||||
"Conflicting actions for token '{symbol}':\n"
|
||||
" {config_old: <{max_len}}: {old}\n"
|
||||
" {config_new: <{max_len}}: {new}\n".format(
|
||||
config_old=config_old,
|
||||
config_new=config_new,
|
||||
max_len=max_len,
|
||||
old=existing,
|
||||
new=action,
|
||||
symbol=symbol,
|
||||
)
|
||||
)
|
||||
raise ValueError(error)
|
||||
row[symbol] = (action, config)
|
||||
|
||||
def get_table_action(self, row, symbol):
|
||||
return row[symbol][0]
|
||||
|
||||
|
||||
def parse(table, input, trace=False):
|
||||
"""Parse the input with the generated parsing table and return the
|
||||
concrete syntax tree.
|
||||
|
||||
The parsing table can be generated by GenerateLR0.gen_table() or by any
|
||||
of the other generators below. The parsing mechanism never changes, only
|
||||
the table generation mechanism.
|
||||
|
||||
input is a list of tokens. Don't stick an end-of-stream marker, I'll stick
|
||||
one on for you.
|
||||
"""
|
||||
assert "$" not in input
|
||||
input = input + ["$"]
|
||||
input_index = 0
|
||||
|
||||
# Our stack is a stack of tuples, where the first entry is the state number
|
||||
# and the second entry is the 'value' that was generated when the state was
|
||||
# pushed.
|
||||
stack = [(0, None)]
|
||||
while True:
|
||||
current_state = stack[-1][0]
|
||||
current_token = input[input_index]
|
||||
|
||||
action = table[current_state].get(current_token, ("error",))
|
||||
if trace:
|
||||
print(
|
||||
"{stack: <20} {input: <50} {action: <5}".format(
|
||||
stack=repr([s[0] for s in stack]),
|
||||
input=repr(input[input_index:]),
|
||||
action=repr(action),
|
||||
)
|
||||
)
|
||||
|
||||
if action[0] == "accept":
|
||||
return stack[-1][1]
|
||||
|
||||
elif action[0] == "reduce":
|
||||
name = action[1]
|
||||
size = action[2]
|
||||
|
||||
value = (name, tuple(s[1] for s in stack[-size:]))
|
||||
stack = stack[:-size]
|
||||
|
||||
goto = table[stack[-1][0]].get(name, ("error",))
|
||||
assert goto[0] == "goto" # Corrupt table?
|
||||
stack.append((goto[1], value))
|
||||
|
||||
elif action[0] == "shift":
|
||||
stack.append((action[1], (current_token, ())))
|
||||
input_index += 1
|
||||
|
||||
elif action[0] == "error":
|
||||
raise ValueError(
|
||||
"Syntax error: unexpected symbol {sym}".format(
|
||||
sym=current_token,
|
||||
),
|
||||
)
|
||||
|
||||
|
||||
###############################################################################
|
||||
# SLR(1)
|
||||
###############################################################################
|
||||
class GenerateSLR1(GenerateLR0):
|
||||
"""Generate parse tables for SLR1 grammars.
|
||||
|
||||
SLR1 parsers can recognize more than LR0 parsers, because they have a
|
||||
little bit more information: instead of generating reduce actions for a
|
||||
production on all possible inputs, as LR0 parsers do, they generate
|
||||
reduce actions only for inputs that are in the 'follow' set of the
|
||||
non-terminal.
|
||||
|
||||
That means SLR1 parsers need to know how to generate 'follow(A)', which
|
||||
means they need to know how to generate 'first(A)', which is most of the
|
||||
code in this class.
|
||||
"""
|
||||
|
||||
def gen_first_symbol(self, symbol, visited):
|
||||
"""Compute the first set for a single symbol.
|
||||
|
||||
If a symbol can be empty, then the set contains epsilon, which we
|
||||
represent as python's `None`.
|
||||
|
||||
The first set is the set of tokens that can appear as the first token
|
||||
for a given symbol. (Obviously, if the symbol is itself a token, then
|
||||
this is trivial.)
|
||||
|
||||
'visited' is a set of already visited symbols, to stop infinite
|
||||
recursion on left-recursive grammars. That means that sometimes this
|
||||
function can return an empty tuple. Don't confuse that with a tuple
|
||||
containing epsilon: that's a tuple containing `None`, not an empty
|
||||
tuple.
|
||||
"""
|
||||
if symbol in self.terminals:
|
||||
return (symbol,)
|
||||
elif symbol in visited:
|
||||
return ()
|
||||
else:
|
||||
assert symbol in self.nonterminals
|
||||
visited.add(symbol)
|
||||
|
||||
# All the firsts from all the productions.
|
||||
firsts = [
|
||||
self.gen_first(rule[1], visited) for rule in self.grammar if rule[0] == symbol
|
||||
]
|
||||
|
||||
result = ()
|
||||
for fs in firsts:
|
||||
result = result + tuple(f for f in fs if f not in result)
|
||||
|
||||
return tuple(sorted(result))
|
||||
|
||||
def gen_first(self, symbols, visited=None):
|
||||
"""Compute the first set for a sequence of symbols.
|
||||
|
||||
The first set is the set of tokens that can appear as the first token
|
||||
for this sequence of symbols. The interesting wrinkle in computing the
|
||||
first set for a sequence of symbols is that we keep computing the first
|
||||
sets so long as epsilon appears in the set. i.e., if we are computing
|
||||
for ['A', 'B', 'C'] and the first set of 'A' contains epsilon, then the
|
||||
first set for the *sequence* also contains the first set of ['B', 'C'],
|
||||
since 'A' could be missing entirely.
|
||||
|
||||
An epsilon in the result is indicated by 'None'. There will always be
|
||||
at least one element in the result.
|
||||
|
||||
The 'visited' parameter, if not None, is a set of symbols that are
|
||||
already in the process of being evaluated, to deal with left-recursive
|
||||
grammars. (See gen_first_symbol for more.)
|
||||
"""
|
||||
if len(symbols) == 0:
|
||||
return (None,) # Epsilon.
|
||||
else:
|
||||
if visited is None:
|
||||
visited = set()
|
||||
result = self.gen_first_symbol(symbols[0], visited)
|
||||
if None in result:
|
||||
result = tuple(s for s in result if s is not None)
|
||||
result = result + self.gen_first(symbols[1:], visited)
|
||||
result = tuple(sorted(set(result)))
|
||||
return result
|
||||
|
||||
def gen_follow(self, symbol, visited=None):
|
||||
"""Generate the follow set for the given nonterminal.
|
||||
|
||||
The follow set for a nonterminal is the set of terminals that can
|
||||
follow the nonterminal in a valid sentence. The resulting set never
|
||||
contains epsilon and is never empty, since we should always at least
|
||||
ground out at '$', which is the end-of-stream marker.
|
||||
"""
|
||||
if symbol == "__start":
|
||||
return tuple("$")
|
||||
|
||||
assert symbol in self.nonterminals
|
||||
|
||||
# Deal with left-recursion.
|
||||
if visited is None:
|
||||
visited = set()
|
||||
if symbol in visited:
|
||||
return ()
|
||||
visited.add(symbol)
|
||||
|
||||
follow = ()
|
||||
for production in self.grammar:
|
||||
for index, prod_symbol in enumerate(production[1]):
|
||||
if prod_symbol != symbol:
|
||||
continue
|
||||
|
||||
first = self.gen_first(production[1][index + 1 :])
|
||||
follow = follow + tuple(f for f in first if f is not None)
|
||||
if None in first:
|
||||
follow = follow + self.gen_follow(production[0], visited)
|
||||
|
||||
assert None not in follow # Should always ground out at __start
|
||||
return follow
|
||||
|
||||
def gen_reduce_set(self, config):
|
||||
"""Return the set of symbols that indicate we should reduce the given
|
||||
config.
|
||||
|
||||
In an SLR1 parser, this is the follow set of the config nonterminal."""
|
||||
return self.gen_follow(config.name)
|
||||
|
||||
|
||||
class GenerateLR1(GenerateSLR1):
|
||||
"""Generate parse tables for LR1, or "canonical LR" grammars.
|
||||
|
||||
LR1 parsers can recognize more than SLR parsers. Like SLR parsers, they
|
||||
are choosier about when they reduce. But unlike SLR parsers, they specify
|
||||
the terminals on which they reduce by carrying a 'lookahead' terminal in
|
||||
the configuration. The lookahead of a configuration is computed as the
|
||||
closure of a configuration set is computed, so see gen_closure_next for
|
||||
details. (Except for the start configuration, which has '$' as its
|
||||
lookahead.)
|
||||
"""
|
||||
|
||||
def gen_reduce_set(self, config):
|
||||
"""Return the set of symbols that indicate we should reduce the given
|
||||
config.
|
||||
|
||||
In an LR1 parser, this is the lookahead of the configuration."""
|
||||
return config.lookahead
|
||||
|
||||
def gen_closure_next(self, config):
|
||||
"""Return the next set of configurations in the closure for
|
||||
config.
|
||||
|
||||
In LR1 parsers, we must compute the lookahead for the configurations
|
||||
we're adding to the closure. The lookahead for the new configurations
|
||||
is the first() of the rest of this config's production. If that
|
||||
contains epsilon, then the lookahead *also* contains the lookahead we
|
||||
already have. (This lookahead was presumably generated by the same
|
||||
process, so in some sense it is a 'parent' lookahead, or a lookahead
|
||||
from an upstream production in the grammar.)
|
||||
|
||||
(See the documentation in GenerateLR0 for more information on how
|
||||
this function fits into the whole process.)
|
||||
"""
|
||||
if config.at_end:
|
||||
return ()
|
||||
else:
|
||||
next = []
|
||||
for rule in self.grammar:
|
||||
if rule[0] != config.next:
|
||||
continue
|
||||
|
||||
# N.B.: We can't just append config.lookahead to config.rest
|
||||
# and compute first(), because lookahead is a *set*. So
|
||||
# in this case we just say if 'first' contains epsilon,
|
||||
# then we need to remove the epsilon and union with the
|
||||
# existing lookahead.
|
||||
lookahead = self.gen_first(config.rest)
|
||||
if None in lookahead:
|
||||
lookahead = tuple(l for l in lookahead if l is not None)
|
||||
lookahead = lookahead + config.lookahead
|
||||
lookahead = tuple(sorted(set(lookahead)))
|
||||
next.append(Configuration.from_rule(rule, lookahead=lookahead))
|
||||
|
||||
return tuple(next)
|
||||
|
||||
def gen_all_sets(self):
|
||||
"""Generate all of the configuration sets for the grammar.
|
||||
|
||||
In LR1 parsers, we must remember to set the lookahead of the start
|
||||
symbol to '$'.
|
||||
"""
|
||||
initial_set = self.gen_closure(
|
||||
Configuration.from_rule(self.grammar[0], lookahead=("$",)),
|
||||
(),
|
||||
)
|
||||
return self.gen_sets(initial_set, ())
|
||||
|
||||
|
||||
class GenerateLALR(GenerateLR1):
|
||||
"""Generate tables for LALR.
|
||||
|
||||
LALR is smaller than LR(1) but bigger than SLR(1). It works by generating
|
||||
the LR(1) configuration sets, but merging configuration sets which are
|
||||
equal in everything but their lookaheads. This works in that it doesn't
|
||||
generate any shift/reduce conflicts that weren't already in the LR(1)
|
||||
grammar. It can, however, introduce new reduce/reduce conflicts, because
|
||||
it does lose information. The advantage is that the number of parser
|
||||
states is much much smaller in LALR than in LR(1).
|
||||
|
||||
(Note that because we use immutable state everywhere this generator does
|
||||
a lot of copying and allocation.)
|
||||
"""
|
||||
|
||||
def merge_sets(self, config_set_a, config_set_b):
|
||||
"""Merge the two config sets, by keeping the item cores but merging
|
||||
the lookahead sets for each item.
|
||||
"""
|
||||
assert len(config_set_a) == len(config_set_b)
|
||||
merged = []
|
||||
for index, a in enumerate(config_set_a):
|
||||
b = config_set_b[index]
|
||||
assert a.replace(lookahead=()) == b.replace(lookahead=())
|
||||
|
||||
new_lookahead = a.lookahead + b.lookahead
|
||||
new_lookahead = tuple(sorted(set(new_lookahead)))
|
||||
merged.append(a.replace(lookahead=new_lookahead))
|
||||
|
||||
return tuple(merged)
|
||||
|
||||
def sets_equal(self, a, b):
|
||||
a_no_la = tuple(s.replace(lookahead=()) for s in a)
|
||||
b_no_la = tuple(s.replace(lookahead=()) for s in b)
|
||||
return a_no_la == b_no_la
|
||||
|
||||
def gen_sets(self, config_set, F):
|
||||
"""Recursively generate all configuration sets starting from the
|
||||
provided set, and merge them with the provided set 'F'.
|
||||
|
||||
The difference between this method and the one in GenerateLR0, where
|
||||
this comes from, is in the part that stops recursion. In LALR we
|
||||
compare for set equality *ignoring lookahead*. If we find a match,
|
||||
then instead of returning F unchanged, we merge the two equal sets
|
||||
and replace the set in F, returning the modified set.
|
||||
"""
|
||||
config_set_no_la = tuple(s.replace(lookahead=()) for s in config_set)
|
||||
for index, existing in enumerate(F):
|
||||
existing_no_la = tuple(s.replace(lookahead=()) for s in existing)
|
||||
if config_set_no_la == existing_no_la:
|
||||
merged_set = self.merge_sets(config_set, existing)
|
||||
return F[:index] + (merged_set,) + F[index + 1 :]
|
||||
|
||||
# No merge candidate found, proceed.
|
||||
new_F = F + (config_set,)
|
||||
for successor in self.gen_all_successors(config_set):
|
||||
new_F = self.gen_sets(successor, new_F)
|
||||
|
||||
return new_F
|
||||
|
||||
def find_set_index(self, sets, set):
|
||||
"""Find the specified set in the set of sets, and return the
|
||||
index, or None if it is not found.
|
||||
"""
|
||||
for i, s in enumerate(sets):
|
||||
if self.sets_equal(s, set):
|
||||
return i
|
||||
return None
|
||||
|
||||
|
||||
###############################################################################
|
||||
# Formatting
|
||||
###############################################################################
|
||||
def format_node(node):
|
||||
"""Print out an indented concrete syntax tree, from parse()."""
|
||||
lines = ["{name}".format(name=node[0])] + [
|
||||
" " + line for child in node[1] for line in format_node(child).split("\n")
|
||||
]
|
||||
return "\n".join(lines)
|
||||
|
||||
|
||||
def format_table(generator, table):
|
||||
"""Format a parser table so pretty."""
|
||||
|
||||
def format_action(state, terminal):
|
||||
action = state.get(terminal, ("error",))
|
||||
if action[0] == "accept":
|
||||
return "accept"
|
||||
elif action[0] == "shift":
|
||||
return "s" + str(action[1])
|
||||
elif action[0] == "error":
|
||||
return ""
|
||||
elif action[0] == "reduce":
|
||||
return "r" + str(action[1])
|
||||
|
||||
header = " | {terms} | {nts}".format(
|
||||
terms=" ".join("{0: <6}".format(terminal) for terminal in sorted(generator.terminals)),
|
||||
nts=" ".join("{0: <5}".format(nt) for nt in sorted(generator.nonterminals)),
|
||||
)
|
||||
|
||||
lines = [
|
||||
header,
|
||||
"-" * len(header),
|
||||
] + [
|
||||
"{index: <3} | {actions} | {gotos}".format(
|
||||
index=i,
|
||||
actions=" ".join(
|
||||
"{0: <6}".format(format_action(row, terminal))
|
||||
for terminal in sorted(generator.terminals)
|
||||
),
|
||||
gotos=" ".join(
|
||||
"{0: <5}".format(row.get(nt, ("error", ""))[1])
|
||||
for nt in sorted(generator.nonterminals)
|
||||
),
|
||||
)
|
||||
for i, row in enumerate(table)
|
||||
]
|
||||
return "\n".join(lines)
|
||||
|
||||
|
||||
###############################################################################
|
||||
# Examples
|
||||
###############################################################################
|
||||
# OK, this is a very simple LR0 grammar.
|
||||
grammar_simple = [
|
||||
("E", ["E", "+", "T"]),
|
||||
("E", ["T"]),
|
||||
("T", ["(", "E", ")"]),
|
||||
("T", ["id"]),
|
||||
]
|
||||
|
||||
gen = GenerateLR0("E", grammar_simple)
|
||||
table = gen.gen_table()
|
||||
tree = parse(table, ["id", "+", "(", "id", ")"])
|
||||
print(format_node(tree) + "\n")
|
||||
print()
|
||||
|
||||
# This one doesn't work with LR0, though, it has a shift/reduce conflict.
|
||||
grammar_lr0_shift_reduce = grammar_simple + [
|
||||
("T", ["id", "[", "E", "]"]),
|
||||
]
|
||||
try:
|
||||
gen = GenerateLR0("E", grammar_lr0_shift_reduce)
|
||||
table = gen.gen_table()
|
||||
assert False
|
||||
except ValueError as e:
|
||||
print(e)
|
||||
print()
|
||||
|
||||
# Nor does this: it has a reduce/reduce conflict.
|
||||
grammar_lr0_reduce_reduce = grammar_simple + [
|
||||
("E", ["V", "=", "E"]),
|
||||
("V", ["id"]),
|
||||
]
|
||||
try:
|
||||
gen = GenerateLR0("E", grammar_lr0_reduce_reduce)
|
||||
table = gen.gen_table()
|
||||
assert False
|
||||
except ValueError as e:
|
||||
print(e)
|
||||
print()
|
||||
|
||||
# Nullable symbols just don't work with constructs like this, because you can't
|
||||
# look ahead to figure out if you should reduce an empty 'F' or not.
|
||||
grammar_nullable = [
|
||||
("E", ["F", "boop"]),
|
||||
("F", ["beep"]),
|
||||
("F", []),
|
||||
]
|
||||
try:
|
||||
gen = GenerateLR0("E", grammar_nullable)
|
||||
table = gen.gen_table()
|
||||
assert False
|
||||
except ValueError as e:
|
||||
print(e)
|
||||
|
||||
gen = GenerateSLR1("E", grammar_lr0_shift_reduce)
|
||||
print("First: {first}".format(first=str(gen.gen_first(["E"]))))
|
||||
print("Follow: {follow}".format(follow=str(gen.gen_follow("E"))))
|
||||
table = gen.gen_table()
|
||||
print(format_table(gen, table))
|
||||
tree = parse(table, ["id", "+", "(", "id", "[", "id", "]", ")"])
|
||||
print(format_node(tree) + "\n")
|
||||
print()
|
||||
|
||||
# SLR1 can't handle this.
|
||||
grammar_aho_ullman_1 = [
|
||||
("S", ["L", "=", "R"]),
|
||||
("S", ["R"]),
|
||||
("L", ["*", "R"]),
|
||||
("L", ["id"]),
|
||||
("R", ["L"]),
|
||||
]
|
||||
try:
|
||||
gen = GenerateSLR1("S", grammar_aho_ullman_1)
|
||||
table = gen.gen_table()
|
||||
assert False
|
||||
except ValueError as e:
|
||||
print(e)
|
||||
print()
|
||||
|
||||
# Here's an example with a full LR1 grammar, though.
|
||||
grammar_aho_ullman_2 = [
|
||||
("S", ["X", "X"]),
|
||||
("X", ["a", "X"]),
|
||||
("X", ["b"]),
|
||||
]
|
||||
gen = GenerateLR1("S", grammar_aho_ullman_2)
|
||||
table = gen.gen_table()
|
||||
print(format_table(gen, table))
|
||||
parse(table, ["b", "a", "a", "b"], trace=True)
|
||||
print()
|
||||
|
||||
# What happens if we do LALR to it?
|
||||
gen = GenerateLALR("S", grammar_aho_ullman_2)
|
||||
table = gen.gen_table()
|
||||
print(format_table(gen, table))
|
||||
print()
|
||||
|
||||
# A fun LALAR grammar.
|
||||
grammar_lalr = [
|
||||
("S", ["V", "E"]),
|
||||
("E", ["F"]),
|
||||
("E", ["E", "+", "F"]),
|
||||
("F", ["V"]),
|
||||
("F", ["int"]),
|
||||
("F", ["(", "E", ")"]),
|
||||
("V", ["id"]),
|
||||
]
|
||||
gen = GenerateLALR("S", grammar_lalr)
|
||||
table = gen.gen_table()
|
||||
print(format_table(gen, table))
|
||||
print()
|
||||
1295
parser_faster.py
1295
parser_faster.py
File diff suppressed because it is too large
Load diff
13
pyproject.toml
Normal file
13
pyproject.toml
Normal file
|
|
@ -0,0 +1,13 @@
|
|||
[project]
|
||||
name = "lrparsers"
|
||||
descrption = "a small LR parser generator library"
|
||||
authors = [
|
||||
{name = "John Doty", email = "john@d0ty.me"},
|
||||
]
|
||||
classifiers = [
|
||||
"Private :: Do Not Upload", # Probably.
|
||||
"License :: OSI Approved :: MIT License",
|
||||
]
|
||||
|
||||
[tool.black]
|
||||
line-length=100
|
||||
Loading…
Add table
Add a link
Reference in a new issue