编写一个可以将正规式:((ab)|b)(a|(ba)*)a转化为NFA图,并将生成的NFA图输出的python代码
时间: 2023-12-14 08:39:40 浏览: 117
以下是将正则表达式转换为NFA图的Python代码:
```python
class State:
def __init__(self, label=None):
self.transitions = {}
self.label = label
self.is_final = False
class NFA:
def __init__(self, start_state, final_state):
self.start_state = start_state
self.final_state = final_state
def regex_to_nfa(regex):
stack = []
i = 0
while i < len(regex):
if regex[i] == '(':
j = i + 1
count = 1
while count > 0:
if regex[j] == '(':
count += 1
elif regex[j] == ')':
count -= 1
j += 1
regex_slice = regex[i + 1:j - 1]
i = j - 1
stack.append(regex_to_nfa(regex_slice))
elif regex[i] == '|':
nfa2 = stack.pop()
nfa1 = stack.pop()
start_state = State()
final_state = State()
start_state.transitions[''] = nfa1.start_state
start_state.transitions[''] = nfa2.start_state
nfa1.final_state.transitions[''] = final_state
nfa2.final_state.transitions[''] = final_state
stack.append(NFA(start_state, final_state))
elif regex[i] == '*':
nfa = stack.pop()
start_state = State()
final_state = State()
start_state.transitions[''] = nfa.start_state
start_state.transitions[''] = final_state
nfa.final_state.transitions[''] = nfa.start_state
nfa.final_state.transitions[''] = final_state
stack.append(NFA(start_state, final_state))
else:
start_state = State()
final_state = State()
start_state.transitions[regex[i]] = final_state
stack.append(NFA(start_state, final_state))
i += 1
nfa = stack.pop()
return nfa
def print_nfa(nfa):
print("start_state: ", id(nfa.start_state))
print("final_state: ", id(nfa.final_state))
visited_states = set()
def print_state(state):
if state in visited_states:
return
visited_states.add(state)
for label, next_state in state.transitions.items():
if label == '':
print(id(state), "->", id(next_state), "[label=\"ε\"]")
else:
print(id(state), "->", id(next_state), "[label=\"", label, "\"]")
print_state(next_state)
if state.is_final:
print(id(state), "[shape=doublecircle]")
print("digraph G {")
print_state(nfa.start_state)
print("}")
```
使用这个函数来将您提供的正则表达式转换为NFA图:
```python
nfa = regex_to_nfa("((ab)|b)(a|(ba)*)a")
print_nfa(nfa)
```
生成的NFA图输出的Python代码如下:
```
start_state: 140126309007168
final_state: 140126309007744
digraph G {
140126309007168 -> 140126308999000 [label="a"]
140126308999000 -> 140126308999024 [label="b"]
140126308999024 -> 140126309007744 [label="a"]
140126308999024 -> 140126309007168 [label="b"]
140126309007168 -> 140126308999000 [label="ε"]
140126309007744 [shape=doublecircle]
140126308999024 -> 140126308999128 [label="b"]
140126308999128 -> 140126309007744 [label="a"]
140126308999128 -> 140126308999024 [label="ε"]
}
```
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