'''
构造一棵解析树
需要调用之前写过的Stack文件和BinaryTree文件
'''
from Stack import Stack
from BinaryTree import BinaryTree
import operator
# 构造解析树
def buildParseTree(fpexp):
fplist = fpexp.split()
pStack = Stack()
eTree = BinaryTree('')
pStack.push(eTree)
currentTree = eTree
for i in fplist:
if i == '(':
currentTree.insertLeft('')
pStack.push(currentTree)
currentTree = currentTree.getLeftChild()
elif i not in ['+', '-', '*', '/', ')']:
currentTree.setRootVal(int(i))
parent = pStack.pop()
currentTree = parent
elif i in ['+', '-', '*', '/']:
currentTree.setRootVal(i)
currentTree.insertRight('')
pStack.push(currentTree)
currentTree = currentTree.getRightChild()
elif i == ')':
currentTree = pStack.pop()
else:
raise ValueError
return eTree
# 递归实现两个叶结点的运算
def evaluate(parseTree):
opers = {'+':operator.add, '-':operator.sub, '*':operator.mul, '/':operator.truediv}
leftC = parseTree.getLeftChild()
rightC = parseTree.getRightChild()
if leftC and rightC:
fn = opers[parseTree.getRootVal()]
return fn(evaluate(leftC), evaluate(rightC))
else:
return parseTree.getRootVal()
# 递归实现树的后序遍历
def postorder(tree):
if tree != None:
postorder(tree.getLeftChild())
postorder(tree.getRightChild())
print(tree.getRootVal())
# 利用后序遍历实现两个叶结点的运算
def postordereval(tree):
opers = {'+': operator.add, '-': operator.sub, '*': operator.mul, '/': operator.truediv}
res1 = None
res2 = None
if tree:
res1 = postordereval(tree.getLeftChild())
res2 = postordereval(tree.getRightChild())
if res1 and res2:
return opers[tree.getRootVal()](res1, res2)
else:
return tree.getRootVal()
# 递归实现中序遍历
def inorder(tree):
if tree != None:
inorder(tree.getLeftChild())
print(tree.getRootVal())
inorder(tree.getRightChild())
# 因为中序遍历会丢失括号信息, 因此尝试构造一个函数回复解析表达式
def printexp(tree):
sVal = ''
if tree:
sVal = '(' + printexp(tree.getLeftChild())
sVal = sVal + str(tree.getRootVal())
sVal = sVal + printexp(tree.getRightChild()) + ')'
return sVal
pt = buildParseTree("( ( 10 + 5 ) * 3 )")
# pt.preorder()
# postorder(pt)
# ans = evaluate(pt)
# print(ans)
# print(postordereval(pt))
# inorder(pt)
# print(pt)
sVal = printexp(pt)
print(sVal)