copy的,供參考
import java.util.ArrayList;
import java.util.List;
import java.util.Stack;
public class Poland {
public static void main(String[] args) {
String expression = "1+((2+3)*4)-5";
List<String> expressionList = expressionToList(expression);
System.out.println("中綴表達(dá)式轉(zhuǎn)為list結(jié)構(gòu)=" + expressionList);
//將中綴表達(dá)式轉(zhuǎn)換為后綴表達(dá)式
List<String> suffixList = parseToSuffixExpression(expressionList);
System.out.println("對(duì)應(yīng)的后綴表達(dá)式列表結(jié)構(gòu)=" + suffixList);
//根據(jù)后綴表達(dá)式計(jì)算結(jié)果
int calculateResult = calculate(suffixList);
System.out.printf(expression + "=%d\n", calculateResult);
}
private static List<String> expressionToList(String expression) {
int index = 0;
List<String> list = new ArrayList<>();
do {
char ch = expression.charAt(index);
if (ch < '0' || ch > '9') {
//是操作符,直接添加至list中
index++;
list.add(ch + "");
} else if (ch >= '0' && ch <= '9') {
//是數(shù)字,判斷多位數(shù)的情況
String str = "";
while (index < expression.length() && expression.charAt(index) >= '0' && expression.charAt(index) <= '9') {
str += expression.charAt(index);
index++;
}
list.add(str);
}
} while (index < expression.length());
return list;
}
private static int calculate(List<String> list) {
Stack<Integer> stack = new Stack<>();
for (int i = 0; i < list.size(); i++) {
String item = list.get(i);
if (item.matches("\\d+")) {
//是數(shù)字
stack.push(Integer.parseInt(item));
} else {
//是操作符,取出棧頂兩個(gè)元素
int num2 = stack.pop();
int num1 = 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("運(yùn)算符錯(cuò)誤!");
}
stack.push(res);
}
}
return stack.pop();
}
private static List<String> parseToSuffixExpression(List<String> expressionList) {
//創(chuàng)建一個(gè)棧用于保存操作符
Stack<String> opStack = new Stack<>();
//創(chuàng)建一個(gè)list用于保存后綴表達(dá)式
List<String> suffixList = new ArrayList<>();
for (String item : expressionList) {
//得到數(shù)或操作符
if (isOperator(item)) {
//是操作符 判斷操作符棧是否為空
if (opStack.isEmpty() || "(".equals(opStack.peek()) || priority(item) > priority(opStack.peek())) {
//為空或者棧頂元素為左括號(hào)或者當(dāng)前操作符大于棧頂操作符直接壓棧
opStack.push(item);
} else {
//否則將棧中元素出棧如隊(duì),直到遇到大于當(dāng)前操作符或者遇到左括號(hào)時(shí)
while (!opStack.isEmpty() && !"(".equals(opStack.peek())) {
if (priority(item) <= priority(opStack.peek())) {
suffixList.add(opStack.pop());
}
}
//當(dāng)前操作符壓棧
opStack.push(item);
}
} else if (isNumber(item)) {
//是數(shù)字則直接入隊(duì)
suffixList.add(item);
} else if ("(".equals(item)) {
//是左括號(hào),壓棧
opStack.push(item);
} else if (")".equals(item)) {
//是右括號(hào) ,將棧中元素彈出入隊(duì),直到遇到左括號(hào),左括號(hào)出棧,但不入隊(duì)
while (!opStack.isEmpty()) {
if ("(".equals(opStack.peek())) {
opStack.pop();
break;
} else {
suffixList.add(opStack.pop());
}
}
} else {
throw new RuntimeException("有非法字符!");
}
}
//循環(huán)完畢,如果操作符棧中元素不為空,將棧中元素出棧入隊(duì)
while (!opStack.isEmpty()) {
suffixList.add(opStack.pop());
}
return suffixList;
}
/**
* 判斷字符串是否為操作符
*/
public static boolean isOperator(String op) {
return op.equals("+") || op.equals("-") || op.equals("*") || op.equals("/");
}
/**
* 判斷是否為數(shù)字
*/
public static boolean isNumber(String num) {
return num.matches("\\d+");
}
/**
* 獲取操作符的優(yōu)先級(jí)
*/
public static int priority(String op) {
if (op.equals("*") || op.equals("/")) {
return 1;
} else if (op.equals("+") || op.equals("-")) {
return 0;
}
return -1;
}
}