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254 lines
6.2 KiB
254 lines
6.2 KiB
#
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# Plex - Transition Maps
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#
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# This version represents state sets direcly as dicts
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# for speed.
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#
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from copy import copy
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import string
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from sys import maxint
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from types import TupleType
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class TransitionMap:
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"""
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A TransitionMap maps an input event to a set of states.
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An input event is one of: a range of character codes,
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the empty string (representing an epsilon move), or one
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of the special symbols BOL, EOL, EOF.
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For characters, this implementation compactly represents
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the map by means of a list:
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[code_0, states_0, code_1, states_1, code_2, states_2,
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..., code_n-1, states_n-1, code_n]
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where |code_i| is a character code, and |states_i| is a
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set of states corresponding to characters with codes |c|
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in the range |code_i| <= |c| <= |code_i+1|.
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The following invariants hold:
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n >= 1
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code_0 == -maxint
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code_n == maxint
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code_i < code_i+1 for i in 0..n-1
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states_0 == states_n-1
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Mappings for the special events '', BOL, EOL, EOF are
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kept separately in a dictionary.
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"""
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map = None # The list of codes and states
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special = None # Mapping for special events
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def __init__(self, map = None, special = None):
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if not map:
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map = [-maxint, {}, maxint]
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if not special:
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special = {}
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self.map = map
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self.special = special
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#self.check() ###
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def add(self, event, new_state,
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TupleType = TupleType):
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"""
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Add transition to |new_state| on |event|.
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"""
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if type(event) == TupleType:
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code0, code1 = event
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i = self.split(code0)
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j = self.split(code1)
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map = self.map
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while i < j:
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map[i + 1][new_state] = 1
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i = i + 2
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else:
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self.get_special(event)[new_state] = 1
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def add_set(self, event, new_set,
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TupleType = TupleType):
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"""
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Add transitions to the states in |new_set| on |event|.
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"""
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if type(event) == TupleType:
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code0, code1 = event
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i = self.split(code0)
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j = self.split(code1)
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map = self.map
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while i < j:
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map[i + 1].update(new_set)
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i = i + 2
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else:
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self.get_special(event).update(new_set)
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def get_epsilon(self,
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none = None):
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"""
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Return the mapping for epsilon, or None.
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"""
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return self.special.get('', none)
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def items(self,
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len = len):
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"""
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Return the mapping as a list of ((code1, code2), state_set) and
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(special_event, state_set) pairs.
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"""
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result = []
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map = self.map
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else_set = map[1]
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i = 0
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n = len(map) - 1
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code0 = map[0]
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while i < n:
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set = map[i + 1]
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code1 = map[i + 2]
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if set or else_set:
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result.append(((code0, code1), set))
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code0 = code1
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i = i + 2
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for event, set in self.special.items():
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if set:
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result.append((event, set))
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return result
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# ------------------- Private methods --------------------
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def split(self, code,
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len = len, maxint = maxint):
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"""
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Search the list for the position of the split point for |code|,
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inserting a new split point if necessary. Returns index |i| such
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that |code| == |map[i]|.
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"""
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# We use a funky variation on binary search.
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map = self.map
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hi = len(map) - 1
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# Special case: code == map[-1]
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if code == maxint:
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return hi
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# General case
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lo = 0
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# loop invariant: map[lo] <= code < map[hi] and hi - lo >= 2
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while hi - lo >= 4:
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# Find midpoint truncated to even index
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mid = ((lo + hi) / 2) & ~1
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if code < map[mid]:
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hi = mid
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else:
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lo = mid
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# map[lo] <= code < map[hi] and hi - lo == 2
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if map[lo] == code:
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return lo
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else:
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map[hi:hi] = [code, map[hi - 1].copy()]
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#self.check() ###
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return hi
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def get_special(self, event):
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"""
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Get state set for special event, adding a new entry if necessary.
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"""
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special = self.special
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set = special.get(event, None)
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if not set:
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set = {}
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special[event] = set
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return set
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# --------------------- Conversion methods -----------------------
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def __str__(self):
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map_strs = []
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map = self.map
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n = len(map)
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i = 0
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while i < n:
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code = map[i]
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if code == -maxint:
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code_str = "-inf"
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elif code == maxint:
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code_str = "inf"
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else:
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code_str = str(code)
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map_strs.append(code_str)
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i = i + 1
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if i < n:
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map_strs.append(state_set_str(map[i]))
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i = i + 1
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special_strs = {}
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for event, set in self.special.items():
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special_strs[event] = state_set_str(set)
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return "[%s]+%s" % (
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string.join(map_strs, ","),
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special_strs
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)
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# --------------------- Debugging methods -----------------------
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def check(self):
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"""Check data structure integrity."""
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if not self.map[-3] < self.map[-1]:
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print self
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assert 0
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def dump(self, file):
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map = self.map
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i = 0
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n = len(map) - 1
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while i < n:
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self.dump_range(map[i], map[i + 2], map[i + 1], file)
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i = i + 2
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for event, set in self.special.items():
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if set:
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if not event:
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event = 'empty'
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self.dump_trans(event, set, file)
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def dump_range(self, code0, code1, set, file):
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if set:
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if code0 == -maxint:
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if code1 == maxint:
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k = "any"
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else:
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k = "< %s" % self.dump_char(code1)
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elif code1 == maxint:
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k = "> %s" % self.dump_char(code0 - 1)
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elif code0 == code1 - 1:
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k = self.dump_char(code0)
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else:
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k = "%s..%s" % (self.dump_char(code0),
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self.dump_char(code1 - 1))
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self.dump_trans(k, set, file)
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def dump_char(self, code):
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if 0 <= code <= 255:
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return repr(chr(code))
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else:
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return "chr(%d)" % code
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def dump_trans(self, key, set, file):
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file.write(" %s --> %s\n" % (key, self.dump_set(set)))
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def dump_set(self, set):
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return state_set_str(set)
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#
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# State set manipulation functions
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#
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#def merge_state_sets(set1, set2):
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# for state in set2.keys():
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# set1[state] = 1
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def state_set_str(set):
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state_list = set.keys()
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str_list = []
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for state in state_list:
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str_list.append("S%d" % state.number)
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return "[%s]" % string.join(str_list, ",")
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