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,并可以使用graphviz进行查看
时间: 2024-01-22 17:17:47 浏览: 100
可以使用Python中的`pydot`库和`graphviz`软件来生成NFA的图形化表示。以下是将给定正则表达式转换为NFA的完整代码:
```python
import pydot
class State:
def __init__(self, label=None):
self.transitions = {}
self.label = label
self.accepting = False
class NFA:
def __init__(self, start=None):
self.start = start
self.end = start
self.states = [start] if start is not None else []
def connect(self, from_state, to_state, symbol=None):
if symbol not in from_state.transitions:
from_state.transitions[symbol] = []
from_state.transitions[symbol].append(to_state)
def add_state(self, state):
self.states.append(state)
def set_accepting(self, state):
state.accepting = True
def regex_to_nfa(regex):
stack = []
nfa_start_state = State()
nfa_end_state = State()
nfa = NFA(nfa_start_state)
stack.append((nfa_start_state, nfa_end_state))
i = 0
while i < len(regex):
c = regex[i]
if c == '(':
group_start = State()
group_end = State()
nfa.add_state(group_start)
nfa.add_state(group_end)
if len(stack) > 0:
prev_start, prev_end = stack[-1]
nfa.connect(prev_end, group_start)
stack.append((group_start, group_end))
elif c == '|':
prev_start, prev_end = stack.pop()
nfa_end_state = State()
nfa.add_state(nfa_end_state)
nfa.connect(nfa_start_state, prev_start)
nfa.connect(prev_end, nfa_end_state)
stack.append((nfa_end_state, nfa_end_state))
elif c == '*':
prev_start, prev_end = stack.pop()
nfa.connect(nfa_end_state, prev_start)
nfa.connect(prev_end, nfa_start_state)
nfa.add_state(nfa_end_state)
stack.append((nfa_start_state, nfa_end_state))
elif c == ')':
group_start, group_end = stack.pop()
if i + 1 < len(regex) and regex[i + 1] == '*':
nfa.connect(nfa_end_state, group_start)
nfa.connect(group_end, nfa_start_state)
nfa.add_state(nfa_end_state)
stack.append((nfa_start_state, nfa_end_state))
else:
nfa.connect(stack[-1][1], group_start)
nfa_end_state = group_end
else:
state = State()
nfa.add_state(state)
nfa.connect(nfa_end_state, state, c)
nfa_end_state = state
stack.append((state, state))
i += 1
nfa.set_accepting(nfa_end_state)
return nfa
def nfa_to_dot(nfa):
dot = pydot.Dot(graph_type='digraph')
for state in nfa.states:
node = pydot.Node(str(id(state)), shape='circle')
if state.accepting:
node.set_shape('doublecircle')
dot.add_node(node)
for symbol in state.transitions:
for to_state in state.transitions[symbol]:
edge = pydot.Edge(str(id(state)), str(id(to_state)), label=symbol)
dot.add_edge(edge)
return dot.to_string()
regex = '((ab)|b)(a|(ba)*)a'
nfa = regex_to_nfa(regex)
dot = nfa_to_dot(nfa)
print(dot)
```
代码输出为NFA的DOT格式,可以将其保存为文件,并使用Graphviz软件将其转换为图像。
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