使用python编写完整可运行可以将正规式((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 13:18:54 浏览: 112
正则表达式转换为NFA程序代码
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好的,下面是使用Python编写的将正则表达式转换为NFA的代码:
```python
class NFAState:
def __init__(self, label):
self.label = label
self.transitions = {}
def add_transition(self, symbol, state):
if symbol not in self.transitions:
self.transitions[symbol] = []
self.transitions[symbol].append(state)
class NFA:
def __init__(self, start, accept):
self.start = start
self.accept = accept
def to_dot(self):
dot = ['digraph NFA {',
' rankdir="LR";',
' node [shape=circle];']
state_labels = {}
state_queue = [self.start]
state_count = 0
while state_queue:
state = state_queue.pop(0)
if state not in state_labels:
state_count += 1
state_labels[state] = 'q%d' % state_count
shape = 'doublecircle' if state == self.accept else 'circle'
dot.append(' %s [label="%s" shape=%s];' % (state_labels[state], state.label, shape))
for symbol, target_states in state.transitions.items():
for target_state in target_states:
state_queue.append(target_state)
if target_state not in state_labels:
state_count += 1
state_labels[target_state] = 'q%d' % state_count
dot.append(' %s [label="%s" shape=circle];' % (state_labels[target_state], target_state.label))
dot.append(' %s -> %s [label="%s"];' % (state_labels[state], state_labels[target_state], symbol))
dot.append('}')
return '\n'.join(dot)
def parse_regex(regex):
# Convert infix notation to postfix notation
postfix = []
stack = []
for c in regex:
if c in '()|*':
if stack and stack[-1] != '(' and c in '|*':
postfix.append(stack.pop())
stack.append(c)
elif c in 'abcdefghijklmnopqrstuvwxyz':
postfix.append(c)
while stack:
postfix.append(stack.pop())
# Build NFA from postfix notation
state_count = 0
state_stack = []
for symbol in postfix:
if symbol == '|':
right = state_stack.pop()
left = state_stack.pop()
accept = NFAState(None)
start = NFAState(None)
start.add_transition(None, left)
start.add_transition(None, right)
left.add_transition(None, accept)
right.add_transition(None, accept)
state_stack.append(NFA(start, accept))
elif symbol == '*':
inner = state_stack.pop()
accept = NFAState(None)
start = NFAState(None)
start.add_transition(None, inner.start)
start.add_transition(None, accept)
inner.accept.add_transition(None, inner.start)
inner.accept.add_transition(None, accept)
state_stack.append(NFA(start, accept))
else:
accept = NFAState(None)
start = NFAState(None)
start.add_transition(symbol, accept)
state_stack.append(NFA(start, accept))
return state_stack.pop()
if __name__ == '__main__':
regex = '((ab)|b)(a|(ba)*)a'
nfa = parse_regex(regex)
print(nfa.to_dot())
```
此代码将正则表达式解析为NFA,然后以DOT格式输出,可以使用Graphviz将其转换为图像。要使用Graphviz,请确保已将其安装在计算机上,并运行以下命令:
```
dot -Tpng nfa.dot -o nfa.png
```
其中`nfa.dot`是上面生成的DOT文件,`nfa.png`是输出的图像文件。
这将生成一个图像文件,显示NFA的状态和转换。
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