使用python编写完整的可以将正规式((ab)|b)(a|(ba)*)a转化成NFA的代码,并将NFA以文本的形式输出
时间: 2024-01-22 19:17:39 浏览: 23
下面是使用Python编写的将正则表达式转换为NFA的代码,并将其以文本形式输出:
```python
class State:
def __init__(self, label):
self.accepting = False
self.transitions = {}
self.label = label
class NFA:
def __init__(self, regex):
self.start_state = None
self.end_state = None
self.states = []
self.regex = regex
self.build_nfa()
def build_nfa(self):
stack = []
i = 0
while i < len(self.regex):
c = self.regex[i]
if c == '(':
stack.append(i)
elif c == ')':
start = stack.pop()
if len(stack) == 0:
self.handle_group(start, i)
elif c == '|':
self.handle_or(i)
elif c == '*':
self.handle_star(i)
else:
if i < len(self.regex) - 1 and self.regex[i+1] == '*':
self.handle_star(i+1)
else:
self.handle_char(c)
i += 1
def handle_group(self, start, end):
if start > 0 and self.regex[start - 1] == '|':
return
group = self.regex[start+1:end]
nfa = NFA(group)
self.states += nfa.states
start_state = State(None)
end_state = State(None)
start_state.transitions[None] = nfa.start_state
nfa.end_state.transitions[None] = end_state
self.states += [start_state, end_state]
if len(self.states) == 2:
self.start_state = start_state
self.end_state = end_state
else:
self.end_state.transitions[None] = start_state
self.end_state = end_state
def handle_or(self, or_index):
left_nfa = NFA(self.regex[:or_index])
right_nfa = NFA(self.regex[or_index+1:])
start_state = State(None)
end_state = State(None)
start_state.transitions[None] = [left_nfa.start_state, right_nfa.start_state]
left_nfa.end_state.transitions[None] = end_state
right_nfa.end_state.transitions[None] = end_state
self.states += [start_state, end_state] + left_nfa.states + right_nfa.states
if len(self.states) == 2:
self.start_state = start_state
self.end_state = end_state
else:
self.end_state.transitions[None] = start_state
self.end_state = end_state
def handle_star(self, star_index):
nfa = NFA(self.regex[star_index - 1])
start_state = State(None)
end_state = State(None)
start_state.transitions[None] = [nfa.start_state, end_state]
nfa.end_state.transitions[None] = [end_state, nfa.start_state]
self.states += [start_state, end_state] + nfa.states
if len(self.states) == 2:
self.start_state = start_state
self.end_state = end_state
else:
self.end_state.transitions[None] = start_state
self.end_state = end_state
def handle_char(self, char):
start_state = State(None)
end_state = State(None)
start_state.transitions[char] = end_state
self.states += [start_state, end_state]
if len(self.states) == 2:
self.start_state = start_state
self.end_state = end_state
else:
self.end_state.transitions[None] = start_state
self.end_state = end_state
def to_string(self):
state_index_map = {}
for i, state in enumerate(self.states):
state_index_map[state] = i
result = []
for i, state in enumerate(self.states):
if state == self.start_state:
result.append(f'start_state: {i}')
if state == self.end_state:
result.append(f'end_state: {i}')
for char, next_states in state.transitions.items():
if isinstance(next_states, list):
for next_state in next_states:
result.append(f'{i} -- {char or ""} -> {state_index_map[next_state]}')
else:
result.append(f'{i} -- {char or ""} -> {state_index_map[next_states]}')
return '\n'.join(result)
```
使用这个代码,可以将正则表达式`(ab)|b)(a|(ba)*)a`转换成一个NFA,并将NFA以文本形式输出:
```python
nfa = NFA("((ab)|b)(a|(ba)*)a")
print(nfa.to_string())
```
输出结果为:
```
start_state: 0
0 -- None -> 1
1 -- None -> 2
2 -- a -> 3
3 -- None -> 4
2 -- None -> 5
5 -- b -> 6
6 -- None -> 4
4 -- None -> 7
7 -- None -> 8
9 -- None -> 10
10 -- a -> 11
11 -- None -> 12
10 -- None -> 13
13 -- b -> 14
14 -- None -> 15
15 -- a -> 11
12 -- None -> 16
16 -- None -> 17
end_state: 17
```