我将尝试编写一个程序,将中缀表达式转换为后缀表达式。
我使用的算法如下:
这个程序应该输出
此外,如果您有更优雅的解决方案,请分享一下。
我使用的算法如下:
1. Create a stack
2. For each character t in the expression
- If t is an operand, append it to the output
- Else if t is ')',then pop from the stack till '(' is encountered and append
it to the output. do not append '(' to the output.
- If t is an operator or '('
-- If t has higher precedence than the top of the stack, then push t
on to the stack.
-- If t has lower precedence than top of the stack, then keep popping
from the stack and appending to the output until either stack is
empty or a lower priority operator is encountered.
After the input is over, keep popping and appending to the output until the
stack is empty.
这是我的代码,它打印出了错误的结果。
public class InfixToPostfix
{
private static boolean isOperator(char c)
{
return c == '+' || c == '-' || c == '*' || c == '/' || c == '^'
|| c == '(' || c == ')';
}
private static boolean isLowerPrecedence(char op1, char op2)
{
switch (op1)
{
case '+':
case '-':
return !(op2 == '+' || op2 == '-');
case '*':
case '/':
return op2 == '^' || op2 == '(';
case '^':
return op2 == '(';
case '(':
return true;
default:
return false;
}
}
public static String convertToPostfix(String infix)
{
Stack<Character> stack = new Stack<Character>();
StringBuffer postfix = new StringBuffer(infix.length());
char c;
for (int i = 0; i < infix.length(); i++)
{
c = infix.charAt(i);
if (!isOperator(c))
{
postfix.append(c);
}
else
{
if (c == ')')
{
while (!stack.isEmpty() && stack.peek() != '(')
{
postfix.append(stack.pop());
}
if (!stack.isEmpty())
{
stack.pop();
}
}
else
{
if (!stack.isEmpty() && !isLowerPrecedence(c, stack.peek()))
{
stack.push(c);
}
else
{
while (!stack.isEmpty() && isLowerPrecedence(c, stack.peek()))
{
Character pop = stack.pop();
if (pop != '(')
{
postfix.append(pop);
}
}
}
stack.push(c);
}
}
}
return postfix.toString();
}
public static void main(String[] args)
{
System.out.println(convertToPostfix("A*B-(C+D)+E"));
}
}
这个程序应该输出
AB*CD+-E+
,但实际上它输出的是AB*-CD+E
,为什么会出现错误?此外,如果您有更优雅的解决方案,请分享一下。