编写一个可以将正规式:((ab)*|b)*(a|(ba)*)a转化为NFA的python代码
时间: 2023-12-14 17:39:11 浏览: 71
正规式到NFA的转换
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以下是一个简单的Python代码,可以将给定的正则表达式转换为NFA:
```python
class NFAState:
def __init__(self, label):
self.label = label
self.transitions = {}
class NFA:
def __init__(self, start, accept):
self.start = start
self.accept = accept
def match(self, s):
current_states = [self.start]
for c in s:
next_states = []
for state in current_states:
if c in state.transitions:
next_states.extend(state.transitions[c])
current_states = next_states
return self.accept in current_states
def reg_to_nfa(regexp):
stack = []
label = 0
for c in regexp:
if c == '(':
stack.append('(')
elif c == ')':
stack.pop()
elif c == '*':
state = NFAState(label)
label += 1
state.transitions[''] = [stack.pop(), state]
stack.append(state)
elif c == '|':
state = NFAState(label)
label += 1
state.transitions[''] = [stack.pop(), stack.pop()]
stack.append(state)
else:
state = NFAState(label)
label += 1
state.transitions[c] = [NFAState(label)]
label += 1
stack.append(state)
accept = stack.pop()
start = stack.pop()
return NFA(start, accept)
```
你可以使用上面的函数将正则表达式转换为NFA,然后使用NFA来匹配字符串。例如:
```python
nfa = reg_to_nfa('((ab)*|b)*(a|(ba)*)a')
print(nfa.match('abababa')) # True
print(nfa.match('ababab')) # False
```
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