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1 # Copyright 2004-2005 Elemental Security, Inc. All Rights Reserved.
2 # Licensed to PSF under a Contributor Agreement.
3
4 # Pgen imports
5 from . import grammar, token, tokenize
6
7 class PgenGrammar(grammar.Grammar):
8 pass
9
10 class ParserGenerator(object):
11
12 def __init__(self, filename, stream=None):
13 close_stream = None
14 if stream is None:
15 stream = open(filename)
16 close_stream = stream.close
17 self.filename = filename
18 self.stream = stream
19 self.generator = tokenize.generate_tokens(stream.readline)
20 self.gettoken() # Initialize lookahead
21 self.dfas, self.startsymbol = self.parse()
22 if close_stream is not None:
23 close_stream()
24 self.first = {} # map from symbol name to set of tokens
25 self.addfirstsets()
26
27 def make_grammar(self):
28 c = PgenGrammar()
29 names = self.dfas.keys()
30 names.sort()
31 names.remove(self.startsymbol)
32 names.insert(0, self.startsymbol)
33 for name in names:
34 i = 256 + len(c.symbol2number)
35 c.symbol2number[name] = i
36 c.number2symbol[i] = name
37 for name in names:
38 dfa = self.dfas[name]
39 states = []
40 for state in dfa:
41 arcs = []
42 for label, next in state.arcs.iteritems():
43 arcs.append((self.make_label(c, label), dfa.index(next)))
44 if state.isfinal:
45 arcs.append((0, dfa.index(state)))
46 states.append(arcs)
47 c.states.append(states)
48 c.dfas[c.symbol2number[name]] = (states, self.make_first(c, name))
49 c.start = c.symbol2number[self.startsymbol]
50 return c
51
52 def make_first(self, c, name):
53 rawfirst = self.first[name]
54 first = {}
55 for label in rawfirst:
56 ilabel = self.make_label(c, label)
57 ##assert ilabel not in first # XXX failed on <> ... !=
58 first[ilabel] = 1
59 return first
60
61 def make_label(self, c, label):
62 # XXX Maybe this should be a method on a subclass of converter?
63 ilabel = len(c.labels)
64 if label[0].isalpha():
65 # Either a symbol name or a named token
66 if label in c.symbol2number:
67 # A symbol name (a non-terminal)
68 if label in c.symbol2label:
69 return c.symbol2label[label]
70 else:
71 c.labels.append((c.symbol2number[label], None))
72 c.symbol2label[label] = ilabel
73 return ilabel
74 else:
75 # A named token (NAME, NUMBER, STRING)
76 itoken = getattr(token, label, None)
77 assert isinstance(itoken, int), label
78 assert itoken in token.tok_name, label
79 if itoken in c.tokens:
80 return c.tokens[itoken]
81 else:
82 c.labels.append((itoken, None))
83 c.tokens[itoken] = ilabel
84 return ilabel
85 else:
86 # Either a keyword or an operator
87 assert label[0] in ('"', "'"), label
88 value = eval(label)
89 if value[0].isalpha():
90 # A keyword
91 if value in c.keywords:
92 return c.keywords[value]
93 else:
94 c.labels.append((token.NAME, value))
95 c.keywords[value] = ilabel
96 return ilabel
97 else:
98 # An operator (any non-numeric token)
99 itoken = grammar.opmap[value] # Fails if unknown token
100 if itoken in c.tokens:
101 return c.tokens[itoken]
102 else:
103 c.labels.append((itoken, None))
104 c.tokens[itoken] = ilabel
105 return ilabel
106
107 def addfirstsets(self):
108 names = self.dfas.keys()
109 names.sort()
110 for name in names:
111 if name not in self.first:
112 self.calcfirst(name)
113 #print name, self.first[name].keys()
114
115 def calcfirst(self, name):
116 dfa = self.dfas[name]
117 self.first[name] = None # dummy to detect left recursion
118 state = dfa[0]
119 totalset = {}
120 overlapcheck = {}
121 for label, next in state.arcs.iteritems():
122 if label in self.dfas:
123 if label in self.first:
124 fset = self.first[label]
125 if fset is None:
126 raise ValueError("recursion for rule %r" % name)
127 else:
128 self.calcfirst(label)
129 fset = self.first[label]
130 totalset.update(fset)
131 overlapcheck[label] = fset
132 else:
133 totalset[label] = 1
134 overlapcheck[label] = {label: 1}
135 inverse = {}
136 for label, itsfirst in overlapcheck.iteritems():
137 for symbol in itsfirst:
138 if symbol in inverse:
139 raise ValueError("rule %s is ambiguous; %s is in the"
140 " first sets of %s as well as %s" %
141 (name, symbol, label, inverse[symbol]))
142 inverse[symbol] = label
143 self.first[name] = totalset
144
145 def parse(self):
146 dfas = {}
147 startsymbol = None
148 # MSTART: (NEWLINE | RULE)* ENDMARKER
149 while self.type != token.ENDMARKER:
150 while self.type == token.NEWLINE:
151 self.gettoken()
152 # RULE: NAME ':' RHS NEWLINE
153 name = self.expect(token.NAME)
154 self.expect(token.OP, ":")
155 a, z = self.parse_rhs()
156 self.expect(token.NEWLINE)
157 #self.dump_nfa(name, a, z)
158 dfa = self.make_dfa(a, z)
159 #self.dump_dfa(name, dfa)
160 oldlen = len(dfa)
161 self.simplify_dfa(dfa)
162 newlen = len(dfa)
163 dfas[name] = dfa
164 #print name, oldlen, newlen
165 if startsymbol is None:
166 startsymbol = name
167 return dfas, startsymbol
168
169 def make_dfa(self, start, finish):
170 # To turn an NFA into a DFA, we define the states of the DFA
171 # to correspond to *sets* of states of the NFA. Then do some
172 # state reduction. Let's represent sets as dicts with 1 for
173 # values.
174 assert isinstance(start, NFAState)
175 assert isinstance(finish, NFAState)
176 def closure(state):
177 base = {}
178 addclosure(state, base)
179 return base
180 def addclosure(state, base):
181 assert isinstance(state, NFAState)
182 if state in base:
183 return
184 base[state] = 1
185 for label, next in state.arcs:
186 if label is None:
187 addclosure(next, base)
188 states = [DFAState(closure(start), finish)]
189 for state in states: # NB states grows while we're iterating
190 arcs = {}
191 for nfastate in state.nfaset:
192 for label, next in nfastate.arcs:
193 if label is not None:
194 addclosure(next, arcs.setdefault(label, {}))
195 for label, nfaset in arcs.iteritems():
196 for st in states:
197 if st.nfaset == nfaset:
198 break
199 else:
200 st = DFAState(nfaset, finish)
201 states.append(st)
202 state.addarc(st, label)
203 return states # List of DFAState instances; first one is start
204
205 def dump_nfa(self, name, start, finish):
206 print "Dump of NFA for", name
207 todo = [start]
208 for i, state in enumerate(todo):
209 print " State", i, state is finish and "(final)" or ""
210 for label, next in state.arcs:
211 if next in todo:
212 j = todo.index(next)
213 else:
214 j = len(todo)
215 todo.append(next)
216 if label is None:
217 print " -> %d" % j
218 else:
219 print " %s -> %d" % (label, j)
220
221 def dump_dfa(self, name, dfa):
222 print "Dump of DFA for", name
223 for i, state in enumerate(dfa):
224 print " State", i, state.isfinal and "(final)" or ""
225 for label, next in state.arcs.iteritems():
226 print " %s -> %d" % (label, dfa.index(next))
227
228 def simplify_dfa(self, dfa):
229 # This is not theoretically optimal, but works well enough.
230 # Algorithm: repeatedly look for two states that have the same
231 # set of arcs (same labels pointing to the same nodes) and
232 # unify them, until things stop changing.
233
234 # dfa is a list of DFAState instances
235 changes = True
236 while changes:
237 changes = False
238 for i, state_i in enumerate(dfa):
239 for j in range(i+1, len(dfa)):
240 state_j = dfa[j]
241 if state_i == state_j:
242 #print " unify", i, j
243 del dfa[j]
244 for state in dfa:
245 state.unifystate(state_j, state_i)
246 changes = True
247 break
248
249 def parse_rhs(self):
250 # RHS: ALT ('|' ALT)*
251 a, z = self.parse_alt()
252 if self.value != "|":
253 return a, z
254 else:
255 aa = NFAState()
256 zz = NFAState()
257 aa.addarc(a)
258 z.addarc(zz)
259 while self.value == "|":
260 self.gettoken()
261 a, z = self.parse_alt()
262 aa.addarc(a)
263 z.addarc(zz)
264 return aa, zz
265
266 def parse_alt(self):
267 # ALT: ITEM+
268 a, b = self.parse_item()
269 while (self.value in ("(", "[") or
270 self.type in (token.NAME, token.STRING)):
271 c, d = self.parse_item()
272 b.addarc(c)
273 b = d
274 return a, b
275
276 def parse_item(self):
277 # ITEM: '[' RHS ']' | ATOM ['+' | '*']
278 if self.value == "[":
279 self.gettoken()
280 a, z = self.parse_rhs()
281 self.expect(token.OP, "]")
282 a.addarc(z)
283 return a, z
284 else:
285 a, z = self.parse_atom()
286 value = self.value
287 if value not in ("+", "*"):
288 return a, z
289 self.gettoken()
290 z.addarc(a)
291 if value == "+":
292 return a, z
293 else:
294 return a, a
295
296 def parse_atom(self):
297 # ATOM: '(' RHS ')' | NAME | STRING
298 if self.value == "(":
299 self.gettoken()
300 a, z = self.parse_rhs()
301 self.expect(token.OP, ")")
302 return a, z
303 elif self.type in (token.NAME, token.STRING):
304 a = NFAState()
305 z = NFAState()
306 a.addarc(z, self.value)
307 self.gettoken()
308 return a, z
309 else:
310 self.raise_error("expected (...) or NAME or STRING, got %s/%s",
311 self.type, self.value)
312
313 def expect(self, type, value=None):
314 if self.type != type or (value is not None and self.value != value):
315 self.raise_error("expected %s/%s, got %s/%s",
316 type, value, self.type, self.value)
317 value = self.value
318 self.gettoken()
319 return value
320
321 def gettoken(self):
322 tup = self.generator.next()
323 while tup[0] in (tokenize.COMMENT, tokenize.NL):
324 tup = self.generator.next()
325 self.type, self.value, self.begin, self.end, self.line = tup
326 #print token.tok_name[self.type], repr(self.value)
327
328 def raise_error(self, msg, *args):
329 if args:
330 try:
331 msg = msg % args
332 except:
333 msg = " ".join([msg] + map(str, args))
334 raise SyntaxError(msg, (self.filename, self.end[0],
335 self.end[1], self.line))
336
337 class NFAState(object):
338
339 def __init__(self):
340 self.arcs = [] # list of (label, NFAState) pairs
341
342 def addarc(self, next, label=None):
343 assert label is None or isinstance(label, str)
344 assert isinstance(next, NFAState)
345 self.arcs.append((label, next))
346
347 class DFAState(object):
348
349 def __init__(self, nfaset, final):
350 assert isinstance(nfaset, dict)
351 assert isinstance(iter(nfaset).next(), NFAState)
352 assert isinstance(final, NFAState)
353 self.nfaset = nfaset
354 self.isfinal = final in nfaset
355 self.arcs = {} # map from label to DFAState
356
357 def addarc(self, next, label):
358 assert isinstance(label, str)
359 assert label not in self.arcs
360 assert isinstance(next, DFAState)
361 self.arcs[label] = next
362
363 def unifystate(self, old, new):
364 for label, next in self.arcs.iteritems():
365 if next is old:
366 self.arcs[label] = new
367
368 def __eq__(self, other):
369 # Equality test -- ignore the nfaset instance variable
370 assert isinstance(other, DFAState)
371 if self.isfinal != other.isfinal:
372 return False
373 # Can't just return self.arcs == other.arcs, because that
374 # would invoke this method recursively, with cycles...
375 if len(self.arcs) != len(other.arcs):
376 return False
377 for label, next in self.arcs.iteritems():
378 if next is not other.arcs.get(label):
379 return False
380 return True
381
382 __hash__ = None # For Py3 compatibility.
383
384 def generate_grammar(filename="Grammar.txt"):
385 p = ParserGenerator(filename)
386 return p.make_grammar()