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    用Python举例实现逆波兰表达式

    PythonPython2019-06-15 11:13:13原创3972
    逆波兰表达式是编译原理中的一种基本表达式,利用Python语言也可以实现逆波兰表达式的输出,这里举例实践说明:

    什么是逆波兰表达式?

    逆波兰表达式又叫做后缀表达式。在通常的表达式中,二元运算符总是置于与之相关的两个运算对象之间,所以,这种表示法也称为中缀表示。波兰逻辑学家J.Lukasiewicz于1929年提出了另一种表示表达式的方法。按此方法,每一运算符都置于其运算对象之后,故称为后缀表示。

    举例实现:

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    # -*- coding: utf-8 -*-

    symbol_priority = {}

    symbol_priority[0] = ['#']

    symbol_priority[1] = ['(']

    symbol_priority[2] = ['+', '-']

    symbol_priority[3] = ['*', '/']

    symbol_priority[4] = [')']

    def comparePriority(symbol, RPN_stack, symbol_stack):

      '''Compare priority between two symbols'''

      global symbol_priority

      if len(symbol_stack) > 0:

        symbol_pop = symbol_stack.pop()

      else:

        return

      for list in symbol_priority.values():

        if (symbol in list) and (symbol_pop in list):

          '''same priority'''

          symbol_stack.append(symbol_pop)

          symbol_stack.append(symbol)

          return

        elif symbol in list:

          '''symbol is smaller'''

          RPN_stack.append(symbol_pop)

          #recusion call

          comparePriority(symbol, RPN_stack, symbol_stack)

          return

        elif symbol_pop in list:

          '''symbol is bigger'''

          symbol_stack.append(symbol_pop)

          symbol_stack.append(symbol)

          return

        else:

          continue

        symbol_stack.append(symbol_pop)

        return

    def scanEveryone(input_string, RPN_stack, symbol_stack):

      for ch in input_string:

        if ch.isdigit():

          RPN_stack.append(ch)

        else:

          if len(symbol_stack) > 0:

            if ch == '(':

              symbol_stack.append(ch)

            elif ch == ')':

              while True:

                symbol_pop = symbol_stack.pop()

                if symbol_pop == '(':

                  break

                else:

                  RPN_stack.append(symbol_pop)

            else:

              comparePriority(ch, RPN_stack, symbol_stack)

          else:

            symbol_stack.append(ch)

    def scanInput(RPN_stack, symbol_stack):

      input_string = raw_input()

      input_string += '#'

      scanEveryone(input_string, RPN_stack, symbol_stack)

    def calRPN(RPN_stack):

      value_stack = []

      RPN_stack.append('#')

      for value in RPN_stack:

        if value == '#':

          return value_stack.pop()

          break

        if value.isdigit():

          value_stack.append(value)

        else:

          right_value = value_stack.pop()

          left_value = value_stack.pop()

          cal_string = left_value + value + right_value

          value_stack.append(str(eval(cal_string)))

    def main():

      RPN_stack = []

      symbol_stack = []

      scanInput(RPN_stack, symbol_stack)

      print calRPN(RPN_stack)

    if __name__ == '__main__':

      main()

    calRPN.py

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    # -*- coding: utf-8 -*-

    symbol_priority = {}

    symbol_priority[0] = ['#']

    symbol_priority[1] = ['(']

    symbol_priority[2] = ['+', '-']

    symbol_priority[3] = ['*', '/']

    symbol_priority[4] = [')']

    def comparePriority(symbol, RPN_stack, symbol_stack):

      '''Compare priority between two symbols'''

      global symbol_priority

      if len(symbol_stack) > 0:

        symbol_pop = symbol_stack.pop()

      else:

        return

      for list in symbol_priority.values():

        if (symbol in list) and (symbol_pop in list):

          '''same priority'''

          symbol_stack.append(symbol_pop)

          symbol_stack.append(symbol)

          return

        elif symbol in list:

          '''symbol is smaller'''

          RPN_stack.append(symbol_pop)

          #recusion call

          comparePriority(symbol, RPN_stack, symbol_stack)

          return

        elif symbol_pop in list:

          '''symbol is bigger'''

          symbol_stack.append(symbol_pop)

          symbol_stack.append(symbol)

          return

        else:

          continue

        symbol_stack.append(symbol_pop)

        return

    def scanEveryone(input_string, RPN_stack, symbol_stack):

      for ch in input_string:

        if ch.isdigit():

          RPN_stack.append(ch)

        else:

          if len(symbol_stack) > 0:

            if ch == '(':

              symbol_stack.append(ch)

            elif ch == ')':

              while True:

                symbol_pop = symbol_stack.pop()

                if symbol_pop == '(':

                  break

                else:

                  RPN_stack.append(symbol_pop)

            else:

              comparePriority(ch, RPN_stack, symbol_stack)

          else:

            symbol_stack.append(ch)

    def scanInput(RPN_stack, symbol_stack):

      input_string = raw_input()

      input_string += '#'

      scanEveryone(input_string, RPN_stack, symbol_stack)

    def calRPN(RPN_stack):

      value_stack = []

      RPN_stack.append('#')

      for value in RPN_stack:

        if value == '#':

          return value_stack.pop()

          break

        if value.isdigit():

          value_stack.append(value)

        else:

          right_value = value_stack.pop()

          left_value = value_stack.pop()

          cal_string = left_value + value + right_value

          value_stack.append(str(eval(cal_string)))

    def main():

      RPN_stack = []

      symbol_stack = []

      

      scanInput(RPN_stack, symbol_stack)

      print calRPN(RPN_stack)

    if __name__ == '__main__':

      main()

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