编写一个可以将正规式:((ab)|b)(a|(ba)*)a转化为NFA图的python代码
时间: 2023-12-14 10:39:28 浏览: 100
以下是一个简单的Python代码实现,将给定的正则表达式转换为NFA图:
```python
class State:
def __init__(self, label=None, edges=None):
self.label = label
self.edges = edges or []
class NFA:
def __init__(self, start=None, end=None):
self.start = start or State()
self.end = end or State()
def connect(self, state1, state2):
state1.edges.append((state2, None))
def match(self, string):
current_states = self.follow_epsilon([self.start])
for s in string:
next_states = []
for state in current_states:
for edge in state.edges:
if edge[1] == s:
next_states.append(edge[0])
current_states = self.follow_epsilon(next_states)
return self.end in current_states
def follow_epsilon(self, states):
seen = set(states)
queue = list(states)
while queue:
state = queue.pop(0)
for edge in state.edges:
if edge[1] is None and edge[0] not in seen:
seen.add(edge[0])
queue.append(edge[0])
return seen
def regex_to_nfa(regex):
nfa_stack = []
op_stack = []
for c in regex:
if c == '(':
op_stack.append(c)
elif c == ')':
while op_stack and op_stack[-1] != '(':
op = op_stack.pop()
if op == '|':
nfa2 = nfa_stack.pop()
nfa1 = nfa_stack.pop()
start = State()
end = State()
start.edges.append((nfa1.start, None))
start.edges.append((nfa2.start, None))
nfa1.end.edges.append((end, None))
nfa2.end.edges.append((end, None))
nfa_stack.append(NFA(start, end))
elif op == '*':
nfa = nfa_stack.pop()
start = State()
end = State()
start.edges.append((nfa.start, None))
start.edges.append((end, None))
nfa.end.edges.append((nfa.start, None))
nfa.end.edges.append((end, None))
nfa_stack.append(NFA(start, end))
op_stack.pop() # Pop '('
elif c == '|':
while op_stack and op_stack[-1] == '*':
nfa = nfa_stack.pop()
start = State()
end = State()
start.edges.append((nfa.start, None))
start.edges.append((end, None))
nfa.end.edges.append((nfa.start, None))
nfa.end.edges.append((end, None))
nfa = NFA(start, end)
nfa_stack.append(nfa)
op_stack.pop()
op_stack.append(c)
elif c == '*':
nfa = nfa_stack.pop()
start = State()
end = State()
start.edges.append((nfa.start, None))
start.edges.append((end, None))
nfa.end.edges.append((nfa.start, None))
nfa.end.edges.append((end, None))
nfa = NFA(start, end)
nfa_stack.append(nfa)
else:
start = State()
end = State()
start.edges.append((end, c))
nfa_stack.append(NFA(start, end))
while op_stack:
op = op_stack.pop()
if op == '|':
nfa2 = nfa_stack.pop()
nfa1 = nfa_stack.pop()
start = State()
end = State()
start.edges.append((nfa1.start, None))
start.edges.append((nfa2.start, None))
nfa1.end.edges.append((end, None))
nfa2.end.edges.append((end, None))
nfa_stack.append(NFA(start, end))
elif op == '*':
nfa = nfa_stack.pop()
start = State()
end = State()
start.edges.append((nfa.start, None))
start.edges.append((end, None))
nfa.end.edges.append((nfa.start, None))
nfa.end.edges.append((end, None))
nfa = NFA(start, end)
nfa_stack.append(nfa)
return nfa_stack.pop()
# Test the regex_to_nfa function with the given input regex
regex = '((ab)|b)(a|(ba)*)a'
nfa = regex_to_nfa(regex)
```
这个代码将给定的正则表达式转换为一个NFA图,并在 `nfa` 变量中返回。你可以根据需要使用它来匹配输入字符串,使用 `nfa.match(input_string)` 方法,该方法将返回一个布尔值,表示输入字符串是否与正则表达式匹配。
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