fh, Python 3 - rextester

Language: Layout:

"""
Infix to postfix conversion

Author: Jayesh Chandrapal
"""

class Stack:
    def __init__(self):
        self.items = []
        self.length = 0
        
    def push(self, val):
        self.items.append(val)
        self.length += 1
        
    def pop(self):
        if self.empty():
            return None
        self.length -= 1
        return self.items.pop()
        
    def size(self):
        return self.length
    
    def peek(self):
        if self.empty():
            return None
        return self.items[0]
    
    def empty(self):
        return self.length == 0
    
    def __str__(self):
        return str(self.items)

precedence = {}
precedence['*'] = 3
precedence['/'] = 3
precedence['+'] = 2
precedence['-'] = 2
precedence['('] = 1

def convert(expression):
    print(__convert(expression.split()))
    
def __convert(tokens):
    postfix = []
    opstack = Stack()
    
    for token in tokens:
        if token.isidentifier():
            postfix.append(token)
        elif token == '(':
            opstack.push(token)
        elif token == ')':
            while True:
                temp = opstack.pop()
                if temp is None or temp == '(':
                    break
                elif not temp.isidentifier():
                    postfix.append(temp)
            
        else: # must be operator
            if not opstack.empty():
                temp = opstack.peek()
            
                while not opstack.empty() and precedence[temp] >= precedence[token] and token.isidentifier():
                    postfix.append(opstack.pop())
                    temp = opstack.peek()
                
            opstack.push(token)
                
    while not opstack.empty():
        postfix.append(opstack.pop())
            
    return postfix
            
    
convert("A + B")
convert("A + B * C")
convert("A *X/ ( B + C ) + D")

[ + ] Show input
Absolute running time: 0.13 sec, cpu time: 0.02 sec, memory peak: 8 Mb, absolute service time: 0.14 sec