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annotate python/pyyacc.py @ 282:c137f1fe3e65
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| author | Windel Bouwman |
|---|---|
| date | Fri, 15 Nov 2013 09:32:37 +0100 |
| parents | 6259856841a0 |
| children | e84047f29c78 |
| rev | line source |
|---|---|
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1 """ |
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2 Parser generator script |
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3 """ |
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4 |
| 218 | 5 import hashlib |
| 191 | 6 from ppci import Token |
| 7 | |
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8 EPS = 'EPS' |
| 184 | 9 EOF = 'EOF' |
| 10 SHIFT = 1 | |
| 11 REDUCE = 2 | |
| 12 ACCEPT = 3 | |
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13 |
| 185 | 14 class ParserGenerationException(Exception): |
| 186 | 15 """ Raised when something goes wrong during parser generation """ |
| 185 | 16 pass |
| 17 | |
| 18 | |
| 19 class ParserException(Exception): | |
| 186 | 20 """ Raised during a failure in the parsing process """ |
| 185 | 21 pass |
| 22 | |
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23 |
| 178 | 24 class Grammar: |
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25 """ Defines a grammar of a language """ |
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26 def __init__(self, terminals): |
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27 self.terminals = terminals |
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28 self.nonterminals = [] |
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29 self.productions = [] |
| 185 | 30 self._first = None # Cached first set |
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31 |
| 194 | 32 def add_production(self, name, symbols, f=None): |
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33 """ Add a production rule to the grammar """ |
| 194 | 34 production = Production(name, symbols, f) |
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35 self.productions.append(production) |
| 192 | 36 if name in self.terminals: |
| 37 raise ParserGenerationException("Cannot redefine terminal {0}".format(name)) | |
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38 if not name in self.nonterminals: |
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39 self.nonterminals.append(name) |
| 194 | 40 self._first = None # Invalidate cached version |
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41 |
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42 def productionsForName(self, name): |
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43 """ Retrieve all productions for a non terminal """ |
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44 return [p for p in self.productions if p.name == name] |
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45 |
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46 @property |
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47 def Symbols(self): |
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48 """ Get all the symbols defined by this grammar """ |
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49 return self.nonterminals + self.terminals |
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50 |
| 185 | 51 @property |
| 52 def first(self): | |
| 186 | 53 """ |
| 54 The first set is a mapping from a grammar symbol to a set of | |
| 55 set of all terminal symbols that can be the first terminal when | |
| 56 looking for the grammar symbol | |
| 57 """ | |
| 185 | 58 if not self._first: |
| 59 self._first = self.calcFirstSets() | |
| 60 return self._first | |
| 61 | |
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62 def calcFirstSets(self): |
| 184 | 63 """ |
| 64 Calculate first sets for each grammar symbol | |
| 65 This is a dictionary which maps each grammar symbol | |
| 66 to a set of terminals that can be encountered first | |
| 67 when looking for the symbol. | |
| 68 """ | |
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69 first = {} |
| 184 | 70 for t in self.terminals + [EOF, EPS]: |
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71 first[t] = set([t]) |
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72 for nt in self.nonterminals: |
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73 first[nt] = set() |
| 185 | 74 epsset = {EPS} |
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75 while True: |
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76 some_change = False |
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77 for p in self.productions: |
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78 rhs = set() |
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79 for beta in p.symbols: |
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80 rhs = rhs | (first[beta] - epsset) |
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81 if not EPS in first[beta]: |
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82 break |
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83 else: |
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84 if EPS in first[beta]: |
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85 rhs.add(EPS) |
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86 if rhs - first[p.name]: |
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87 first[p.name] |= rhs |
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88 some_change = True |
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89 if not some_change: |
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90 break |
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91 return first |
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92 |
| 184 | 93 def closure(self, itemset): |
| 94 """ Expand itemset by using epsilon moves """ | |
| 95 worklist = list(itemset) | |
| 96 def addIt(itm): | |
| 97 if not itm in itemset: | |
| 98 itemset.add(itm) | |
| 99 worklist.append(itm) | |
| 186 | 100 def first2(itm): |
| 184 | 101 # When using the first sets, create a copy: |
| 186 | 102 f = set(self.first[itm.NextNext]) |
| 184 | 103 if EPS in f: |
| 104 f.discard(EPS) | |
| 186 | 105 f.add(itm.look_ahead) |
| 184 | 106 return f |
| 185 | 107 # Start of algorithm: |
| 184 | 108 while worklist: |
| 109 item = worklist.pop(0) | |
| 110 if not item.IsShift: | |
| 111 continue | |
| 112 if not (item.Next in self.nonterminals): | |
| 113 continue | |
| 114 C = item.Next | |
| 115 for add_p in self.productionsForName(C): | |
| 186 | 116 for b in first2(item): |
| 184 | 117 addIt(Item(add_p, 0, b)) |
| 118 return frozenset(itemset) | |
| 119 | |
| 120 def initialItemSet(self): | |
| 121 """ Calculates the initial item set """ | |
| 122 iis = set() | |
| 123 for p in self.productionsForName(self.start_symbol): | |
| 124 iis.add(Item(p, 0, EOF)) | |
| 125 return self.closure(iis) | |
| 126 | |
| 127 def nextItemSet(self, itemset, symbol): | |
| 128 """ | |
| 129 Determines the next itemset for the current set and a symbol | |
| 130 This is the goto procedure | |
| 131 """ | |
| 132 next_set = set() | |
| 133 for item in itemset: | |
| 134 if item.can_shift_over(symbol): | |
| 135 next_set.add(item.shifted()) | |
| 136 return self.closure(next_set) | |
| 137 | |
| 138 def genCanonicalSet(self, iis): | |
| 185 | 139 states = [] |
| 184 | 140 worklist = [] |
| 185 | 141 transitions = {} |
| 184 | 142 def addSt(s): |
| 143 if not (s in states): | |
| 144 worklist.append(s) | |
| 185 | 145 states.append(s) |
| 184 | 146 addSt(iis) |
| 147 while len(worklist) > 0: | |
| 148 itemset = worklist.pop(0) | |
| 149 for symbol in self.Symbols: | |
| 150 nis = self.nextItemSet(itemset, symbol) | |
| 151 if not nis: | |
| 152 continue | |
| 153 addSt(nis) | |
| 185 | 154 transitions[(states.index(itemset), symbol)] = states.index(nis) |
| 155 return states, transitions | |
| 192 | 156 |
| 157 def checkSymbols(self): | |
| 158 """ Checks no symbols are undefined """ | |
| 159 for production in self.productions: | |
| 160 for symbol in production.symbols: | |
| 194 | 161 if symbol not in self.Symbols + [EPS]: |
| 192 | 162 raise ParserGenerationException('Symbol {0} undefined'.format(symbol)) |
| 163 | |
| 218 | 164 def getSignature(self): |
| 165 m = hashlib.md5() | |
| 166 m.update((str(self.productions) + str(self.start_symbol)).encode('ascii')) | |
| 167 signature = m.hexdigest() | |
| 168 | |
| 184 | 169 def genParser(self): |
| 218 | 170 """ Generates a parser from the grammar (using a caching algorithm) """ |
| 171 signature = self.getSignature() | |
| 240 | 172 action_table, goto_table = self.doGenerate() |
| 218 | 173 p = LRParser(action_table, goto_table, self.start_symbol) |
| 174 p.grammar = self | |
| 175 return p | |
| 176 | |
| 177 def doGenerate(self): | |
| 192 | 178 self.checkSymbols() |
| 184 | 179 action_table = {} |
| 185 | 180 goto_table = {} |
| 184 | 181 iis = self.initialItemSet() |
| 182 | |
| 183 # First generate all item sets by using the nextItemset function: | |
| 185 | 184 states, transitions = self.genCanonicalSet(iis) |
| 194 | 185 |
| 186 def action_str(act): | |
| 187 a, p = act | |
| 188 if a is SHIFT: | |
| 189 return 'Shift {0}'.format(0) | |
| 190 elif a is REDUCE: | |
| 191 return 'Reduce {0}'.format(p) | |
| 192 return 'Other' | |
| 185 | 193 |
| 194 def setAction(state, t, action): | |
| 195 key = (state, t) | |
| 218 | 196 assert type(state) is int |
| 197 assert type(t) is str | |
| 185 | 198 if key in action_table: |
| 199 action2 = action_table[key] | |
| 200 if action != action2: | |
| 194 | 201 if (action2[0] == REDUCE) and (action[0] == SHIFT): |
| 202 # Automatically resolve and do the shift action! | |
| 203 # Simple, but almost always what you want!! | |
| 204 action_table[key] = action | |
| 205 else: | |
| 206 if (action2[0] == SHIFT) and (action[0] == REDUCE): | |
| 207 pass | |
| 208 else: | |
| 209 a1 = action_str(action) | |
| 210 a2 = action_str(action2) | |
| 211 raise ParserGenerationException('LR construction conflict {0} vs {1}'.format(a1, a2)) | |
| 185 | 212 else: |
| 213 action_table[key] = action | |
| 184 | 214 |
| 215 # Fill action table: | |
| 216 for state in states: | |
| 185 | 217 # Detect conflicts: |
| 184 | 218 for item in state: |
| 219 if item.IsShift and item.Next in self.terminals: | |
| 185 | 220 # Rule 1, a shift item: |
| 221 nextstate = transitions[(states.index(state), item.Next)] | |
| 222 setAction(states.index(state), item.Next, (SHIFT, nextstate)) | |
| 223 if item.IsReduce: | |
| 224 if item.production.name == self.start_symbol and item.look_ahead == EOF: | |
| 225 # Rule 3: accept: | |
| 218 | 226 setAction(states.index(state), item.look_ahead, (ACCEPT, self.productions.index(item.production))) |
| 184 | 227 else: |
| 185 | 228 # Rule 2, reduce item: |
| 218 | 229 setAction(states.index(state), item.look_ahead, (REDUCE, self.productions.index(item.production))) |
| 185 | 230 for nt in self.nonterminals: |
| 231 key = (states.index(state), nt) | |
| 232 if key in transitions: | |
| 233 goto_table[key] = transitions[key] | |
| 218 | 234 return action_table, goto_table |
| 185 | 235 |
| 178 | 236 |
| 237 class Production: | |
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238 """ Production rule for a grammar """ |
| 194 | 239 def __init__(self, name, symbols, f=None): |
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240 self.name = name |
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241 self.symbols = symbols |
| 194 | 242 self.f = f |
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243 |
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244 def __repr__(self): |
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245 return '{0} -> {1}'.format(self.name, self.symbols) |
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246 |
| 179 | 247 |
| 178 | 248 class Item: |
| 186 | 249 """ |
| 250 Represents a partially parsed item | |
| 251 It has a production it is looking for, a position | |
| 252 in this production called the 'dot' and a look ahead | |
| 253 symbol that must follow this item. | |
| 254 """ | |
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255 def __init__(self, production, dotpos, look_ahead): |
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256 self.production = production |
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257 self.dotpos = dotpos |
| 184 | 258 assert self.dotpos <= len(self.production.symbols) |
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259 self.look_ahead = look_ahead |
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260 |
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261 def getdata(self): |
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262 """ Gets the members as a tuple """ |
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263 return (self.production, self.dotpos, self.look_ahead) |
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264 |
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265 def __eq__(self, other): |
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266 if type(other) is type(self): |
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267 return self.getdata() == other.getdata() |
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268 return False |
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269 |
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270 def __hash__(self): |
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271 return self.getdata().__hash__() |
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272 |
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273 @property |
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274 def IsReduce(self): |
| 186 | 275 """ Check if this item has the dot at the end """ |
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276 return self.dotpos == len(self.production.symbols) |
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277 |
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278 @property |
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279 def IsShift(self): |
| 186 | 280 """ Check if this item is a shift item, i.e. the dot can proceed """ |
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281 return not self.IsReduce |
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282 |
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283 @property |
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284 def Next(self): |
| 186 | 285 """ Returns the symbol after the dot """ |
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286 return self.production.symbols[self.dotpos] |
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287 |
| 184 | 288 def can_shift_over(self, symbol): |
| 289 """ Determines if this item can shift over the given symbol """ | |
| 290 return self.IsShift and self.Next == symbol | |
| 291 | |
| 292 def shifted(self): | |
| 293 """ Creates a new item that is shifted one position """ | |
| 294 return Item(self.production, self.dotpos + 1, self.look_ahead) | |
| 295 | |
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296 @property |
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297 def NextNext(self): |
| 186 | 298 """ Gets the symbol after the next symbol, or EPS if at the end """ |
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299 if self.dotpos + 1 >= len(self.production.symbols): |
| 184 | 300 return EPS |
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301 else: |
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302 return self.production.symbols[self.dotpos + 1] |
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303 |
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304 def __repr__(self): |
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305 prod = self.production |
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306 predot = ' '.join(prod.symbols[0:self.dotpos]) |
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307 postdot = ' '.join(prod.symbols[self.dotpos:]) |
| 186 | 308 name = prod.name |
| 309 args = (name, predot, postdot, self.look_ahead) | |
| 185 | 310 return '[{0} -> {1} . {2} -> {3}]'.format(*args) |
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311 |
| 179 | 312 |
| 313 class LRParser: | |
| 184 | 314 """ LR parser """ |
| 195 | 315 def __init__(self, action_table, goto_table, start_symbol): |
| 184 | 316 self.action_table = action_table |
| 185 | 317 self.goto_table = goto_table |
| 195 | 318 self.start_symbol = start_symbol |
| 184 | 319 |
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320 def parse(self, toks): |
| 191 | 321 """ Parse an iterable with tokens """ |
| 322 assert hasattr(toks, '__iter__'), '{0} not iter type'.format(type(toks)) | |
| 185 | 323 stack = [0] |
| 195 | 324 r_data_stack = [] |
| 194 | 325 try: |
| 326 look_ahead = toks.__next__() | |
| 327 except StopIteration: | |
| 328 look_ahead = Token(EOF, EOF) | |
| 191 | 329 assert type(look_ahead) is Token |
| 195 | 330 # TODO: exit on this condition: |
| 331 while stack != [0, self.start_symbol, 2222]: | |
| 332 #print(stack) | |
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333 state = stack[-1] # top of stack |
| 191 | 334 key = (state, look_ahead.typ) |
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335 if not key in self.action_table: |
| 194 | 336 raise ParserException('Error parsing at character {0}'.format(look_ahead)) |
| 191 | 337 action, param = self.action_table[key] |
| 184 | 338 if action == REDUCE: |
| 194 | 339 f_args = [] |
| 218 | 340 param = self.grammar.productions[param] |
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341 for s in param.symbols: |
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342 stack.pop() |
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343 stack.pop() |
| 195 | 344 f_args.append(r_data_stack.pop()) |
| 345 f_args.reverse() | |
| 346 r_data = None | |
| 194 | 347 if param.f: |
| 195 | 348 r_data = param.f(*f_args) |
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349 state = stack[-1] |
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350 stack.append(param.name) |
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351 stack.append(self.goto_table[(state, param.name)]) |
| 195 | 352 r_data_stack.append(r_data) |
| 184 | 353 elif action == SHIFT: |
| 191 | 354 stack.append(look_ahead.typ) |
| 185 | 355 stack.append(param) |
| 195 | 356 r_data_stack.append(look_ahead.val) |
| 191 | 357 try: |
| 358 look_ahead = toks.__next__() | |
| 359 except StopIteration: | |
| 194 | 360 look_ahead = Token(EOF, EOF) |
| 191 | 361 assert type(look_ahead) is Token |
| 184 | 362 elif action == ACCEPT: |
| 195 | 363 # Pop last rule data off the stack: |
| 364 f_args = [] | |
| 218 | 365 param = self.grammar.productions[param] |
| 195 | 366 for s in param.symbols: |
| 367 stack.pop() | |
| 368 stack.pop() | |
| 369 f_args.append(r_data_stack.pop()) | |
| 370 f_args.reverse() | |
| 371 if param.f: | |
| 372 param.f(*f_args) | |
| 373 # Break out! | |
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374 break |
| 195 | 375 # At exit, the stack must be 1 long |
| 376 # TODO: fix that this holds: | |
| 377 #assert len(stack) == 1, 'stack {0} not totally reduce'.format(stack) | |
| 178 | 378 |