package com.dai.stack;
import java.util.List;
import java.util.ArrayList;
import java.util.Stack;
import javax.sql.rowset.JoinRowSet;
import javax.swing.text.AbstractDocument.BranchElement;
public class PolandNotation {
public static void main(String[] args) {
//将中缀表达式转后缀表达式
//直接扫描字符串不方便,不妨先将字符串转化成中缀对应的List
String expression = "1+((2+3)*4)-5";
List<String> infixExpressionList = toInfixExpressionList(expression);
System.out.println("中缀表达式对应的List" + infixExpressionList);
List<String> parseSuffixExpressionList = parseSuffixExpressionList(infixExpressionList);
System.out.println("后缀表达式对应的list:"+ parseSuffixExpressionList);
System.out.println(expression+ "=" + calculate(parseSuffixExpressionList));
}
//定义一个逆波兰表达式
//(3+4)*5-6
/*String suffixExpression = "3 4 + 5 * 6 -";
//
List<String> rpnList = getListString(suffixExpression);
System.out.println("rpnList" + rpnList);
int res = calculate(rpnList);
System.out.println("计算的结果是=" + res);
}
//将中缀表达式转化成对应的List*/
//将中缀List转为后缀List
public static List<String> parseSuffixExpressionList(List<String> ls){
//定义两个栈
Stack<String> s1 = new Stack<String>(); //符号栈
//s2在整个过程中没有pop操作,还要逆序输出,直接用List 替代更好
//Stack<String> s2 = new Stack<String>(); //存中间结果的栈
List<String> s2 = new ArrayList<String>();
//遍历ls
for(String item : ls) {
//如果是一个数,就加入到s2
if(item.matches("\\d+")) {
s2.add(item);
}else if (item.equals("(")) {
s1.push(item);
}else if (item.equals(")")) {
while (!s1.peek().equals("(")) {
s2.add(s1.pop());
}
s1.pop(); //将小括号弹出栈
}else {
//当item优先级<=栈顶的优先级,将s1栈顶弹出加入到s2
while(s1.size() != 0 && Operation.getValue(s1.peek()) >= Operation.getValue(item)) {
s2.add(s1.pop());
}
//将item压入栈
s1.push(item);
}
}
while(s1.size() != 0) {
s2.add(s1.pop());
}
return s2;
}
//将中缀转为List
public static List<String> toInfixExpressionList(String s){
List<String> ls = new ArrayList<String>();
int i = 0; //指针,用于遍历字符串
String str; //多位数拼接
char c;
do {
//如果c非数字,则加入ls
if((c=s.charAt(i))<48 || (c=s.charAt(i))>57) {
ls.add(""+c);
i++;
}else{//考虑多位数
str = "";
while(i < s.length() && (c=s.charAt(i))>=48 && (c=s.charAt(i))<=57) {
str += c;
i++;
}
ls.add(str);
}
} while (i < s.length());
return ls;
}
//将逆波兰表达式,依次将数据和运算符 放入到ArrayList中
public static List<String> getListString(String suffixExpression){
//将sufffixExpression 分割
String[] split = suffixExpression.split(" ");
List<String> list = new ArrayList<String>();
for(String ele : split) {
list.add(ele);
}
return list;
}
//完成对逆波兰表达式的计算
public static int calculate(List<String> ls) {
//创建一个栈即可
Stack<String> stack = new Stack<String>();
//遍历ls
for(String item:ls) {
//使用正则表达式取数
if (item.matches("\\d+")) {//匹配的是多位数
//入栈
stack.push(item);
}else {
//pop出两个数,并运算,再入栈
int num2 = Integer.parseInt(stack.pop());
int num1 = Integer.parseInt(stack.pop());
int res = 0;
if(item.equals("+")) {
res = num1+num2;
}else if (item.equals("-")) {
res = num1 - num2;
}else if (item.equals("*")) {
res = num1 * num2;
}else if (item.equals("/")) {
res = num1 / num2;
}else {
throw new RuntimeException("运算符有误!");
}
stack.push(res+"");
}
}
//最后留下来的就是结果
return Integer.parseInt(stack.pop());
}
}
//一个可以返回运算符优先级的类
class Operation{
private static int ADD = 1;
private static int SUB = 1;
private static int MUL = 2;
private static int DIV = 2;
public static int getValue(String operation) {
int result = 0;
switch (operation) {
case "+":
result = ADD;
break;
case "-":
result = SUB;
break;
case "*":
result = MUL;
break;
case "/":
result = DIV;
break;
default:
//throw new RuntimeException("运算符非法");
break;
}
return result;
}
}