我在将中缀表示法转换为后缀时遇到了很多麻烦。
例如,我想转换此
test(a(b+c), d()) - 3
进入这个
b c + a , d test 3 -
我试过这个解决方案,
def composition(s):
i = 0
rpnstack = []
stack = []
ret = []
count = 0
while i < len(s) :
if i + 1 < len(s) and s[i + 1] == "(":
stack.append([count, rpnstack, s[i]])
i += 2
count = 1
rpnstack = []
elif s[i] == "(":
count += 1
rpnstack.append(s[i])
i += 1
elif s[i] == ")":
count -= 1
if count == 0:
for a in rpn(rpnstack):
ret.append(a)
a = stack.pop()
count = a[0]
rpnstack = a[1]
ret.append(a[2])
else:
rpnstack.append(s[i])
i += 1
else:
rpnstack.append(s[i])
i += 1
for a in rpn(rpnstack):
ret.append(a)
return ret
其中RPN是反向抛光表示法的标准算法,是使用此正则表达式分割的中缀字符串
(\+|\-|\*|\/|\>|\<|\(|\)|\,)
但它有时只能起作用。
这是rpn函数的完整实现
operator = -10
operand = -20
leftparentheses = -30
rightparentheses = -40
empty = -50
operands = ["+", "-", "*", "/", ">", "<", "=", ","]
def precedence(s):
if s is '(':
return 0
elif s is '+' or '-':
return 1
elif s is '*' or '/' or '%':
return 2
else:
return 99
def typeof(s):
if s is '(':
return leftparentheses
elif s is ')':
return rightparentheses
elif s in operands:
return operator
elif s is ' ':
return empty
else :
return operand
def rpn(infix):
postfix = []
temp = []
for i in infix :
type = typeof(i)
if type is leftparentheses :
temp.append(i)
elif type is rightparentheses :
next = temp.pop()
while next is not '(' or skip > 0:
postfix.append(next)
next = temp.pop()
elif type is operand:
postfix.append(i)
elif type is operator:
p = precedence(i)
while len(temp) is not 0 and p <= precedence(temp[-1]) :
postfix.append(temp.pop())
temp.append(i)
elif type is empty:
continue
while len(temp) > 0 :
postfix.append(temp.pop())
return postfix
如果我尝试对这个中缀表达式使用代码:
i < test.func()
我得到:
[' test.func', 'i ', '<']
反对这个
i < 10
我得到:
['i ', ' 10', '<']
我该如何解决这个问题?