后缀计算器
作者:互联网
中缀转后缀
后缀表达式
也叫逆波兰表达式,将运算符写在操作符之后
中缀形式:(10+20/2*3)/2+8
后缀形式:10 20 2 / 3 * + 2 / 8 +
方便计算机计算,但对用户不友好
中缀转后缀
public class infixToSuffix {
public static void main(String[] args) {
String expression = "(10+20/2*3)/2+8";
expression = infixToSuffix(expression);
System.out.println(expression);
}
public static String infixToSuffix(String expression){
//操作符的栈
ArrayStack<String> opStack = new ArrayStack<>();
//后缀表达式的线性表
ArrayList<String > suffixList = new ArrayList<>();
//格式化表达式
expression = insertBlanks(expression);
String [] tokens = expression.split(" ");
for (String token : tokens){
//过滤空串
if (token.length()==0){
continue;
}
//判断操作符+—-*/
if (isOperator(token)){
/*
什么时候操作符进栈?
1如果栈为空
2.如果栈顶是(
3.如果栈顶是操作符,且优先级比当前token小
什么时候需要将栈顶操作符出栈?
1.栈顶操作符的优先级>=当前token
*/
while (true) {
if (opStack.isEmpty() || opStack.peek().equals("(") || priority(opStack.peek()) < priority(token)) {
opStack.push(token);
break;
}
suffixList.add(opStack.pop());
}
}else if (token.equals("(")){
opStack.push(token);
}else if (token.equals(")")){
while (!opStack.peek().equals("(")){
suffixList.add(opStack.pop());
}
opStack.pop();
}else if (isNumber(token)){
suffixList.add(token);
}else {
throw new IllegalArgumentException("wrong char:"+expression);
}
}
while (!opStack.isEmpty()){
suffixList.add(opStack.pop());
}
//将数字元素和操作元素进行拼接
StringBuilder sb = new StringBuilder();
for (int i = 0;i<suffixList.size();i++){
sb.append(suffixList.get(i));
sb.append(' ');
}
return sb.toString();
}
private static int priority(String token) {
if (token.equals("+")||token.equals("-")){
return 0;
}
if (token.equals("*")||token.equals("/")){
return 1;
}
return -1;
}
private static boolean isNumber(String token) {
return token.matches("\\d+");//\d代表数字 +一个起步
}
private static boolean isOperator(String token) {
return token.equals("+")||token.equals("-")||token.equals("*")||token.equals("/");
}
private static String insertBlanks(String expression){
StringBuilder sb = new StringBuilder();
for (int i = 0;i<expression.length();i++){
char c = expression.charAt(i);
if (c=='('||c==')'||c=='+'||c=='-'||c=='*'||c=='/'){
sb.append(' ');
sb.append(c);
sb.append(' ');
}else {
sb.append(c);
}
}
return sb.toString();
}
}
后缀计算器
//后缀计算器
public class SuffixCalculator {
public static void main(String[] args) {
String infixExpression = "(10+20/2*3)/2+8";
String suffixExpression =infixToSuffix.infixToSuffix(infixExpression);
int reuslt = evaluateSuffix(suffixExpression);
System.out.println(reuslt);
}
private static int evaluateSuffix(String expression) {
ArrayStack<Integer> stack = new ArrayStack<>();
String [] tokens = expression.split(" ");
for (String token :tokens){
if(token.length()==0){
continue;
}
if (isNumber(token)){
stack.push(new Integer(token));
}else{
processAnOperator(stack,token);
}
}
return stack.pop();
}
private static boolean isNumber(String token) {
return token.matches("\\d+");
}
private static void processAnOperator(ArrayStack<Integer> stack, String token) {
int num1 = stack.pop();
int num2 = stack.pop();
if (token.equals("+")){
stack.push(num2+num1);
}else if (token.equals("-")){
stack.push(num2-num1);
}else if (token.equals("*")){
stack.push(num2*num1);
}else if (token.equals("/")){
stack.push(num2/num1);
}
}
}
标签:opStack,String,后缀,equals,token,计算器,expression,stack 来源: https://blog.csdn.net/MJ6666666/article/details/122500388