/** * 使用栈存储后缀表达式 * Create by Administrator * 2018/6/13 0013 * 下午 2:25 **/ public class StackX { private int maxSize; private char[] stackArray; private int top; public StackX(int size) // 构造函数 { maxSize = size; stackArray = new char[maxSize]; top = -1; } public void push(char j) // 将项目放在堆栈的顶部 { stackArray[++top] = j; } public char pop() // 从堆栈顶部取项 { return stackArray[top--]; } public char peek() // 从堆栈顶部查看 { return stackArray[top]; } public boolean isEmpty() // 如果栈为空,则为true { return (top == -1); } public boolean isFull() // 如果堆栈已满 true { return (top == maxSize - 1); } public int size() // return size { return top + 1; } public char peekN(int n) // peek at index n { return stackArray[n]; } public void displayStack(String s) { System.out.print(s); System.out.print("Stack (bottom-->top): "); for (int j = 0; j < size(); j++) { System.out.print(peekN(j)); System.out.print(' '); } System.out.println(""); } }
/** * 使用栈存储计算过程结果 * Create by Administrator * 2018/6/14 0014 * 上午 10:37 **/ public class StackR { private int maxSize; private int[] stackArray; private int top; public StackR(int size) // 构造函数 { maxSize = size; stackArray = new int[maxSize]; top = -1; } public void push(int j) // 将项目放在堆栈的顶部 { stackArray[++top] = j; } public int pop() // 从堆栈顶部取项 { return stackArray[top--]; } public int peek() // 从堆栈顶部查看 { return stackArray[top]; } public boolean isEmpty() // 如果栈为空,则为true { return (top == -1); } public boolean isFull() // 如果堆栈已满 true { return (top == maxSize - 1); } public int size() // return size { return top + 1; } public int peekN(int n) // peek at index n { return stackArray[n]; } public void displayStack(String s) { System.out.print(s); System.out.print("Stack (bottom-->top): "); for (int j = 0; j < size(); j++) { System.out.print(peekN(j)); System.out.print(' '); } System.out.println(""); } }
import java.io.BufferedReader; import java.io.IOException; import java.io.InputStreamReader; /** * Create by Administrator * 2018/6/13 0013 * 下午 2:38 **/ public class InTOPost { private StackX stackX; private StackR stackR; private String input; private String outPut = ""; public InTOPost(String in) { this.input = in; int stackSize = input.length(); stackX = new StackX(stackSize); } /** * 中缀表达式转后缀表达式 * @return */ public String doTrans() { for (int i = 0; i < input.length(); i++) { char ch = input.charAt(i);//拿到每个字符 stackX.displayStack("For " + ch + " "); switch (ch) { case '+': case '-': getOpera(ch, 1); break; case '*': case '/': getOpera(ch, 2); break; case ')': getParen(ch); break; case '(': stackX.push(ch); break; default: outPut = outPut + ch; //是数字将其写入输出 break; } } while (!stackX.isEmpty()) { stackX.displayStack("While "); outPut = outPut + stackX.pop(); } stackX.displayStack("End "); return outPut; } private void getOpera(char opThis, int prec1) { while (!stackX.isEmpty()) { char opTop = stackX.pop(); if (opTop == '(') { stackX.push(opTop); break; } else { int prec2; if (opTop == '+' || opTop == '-') { prec2 = 1; } else { prec2 = 2; } if (prec2 < prec1) { stackX.push(opTop); break; } else { outPut = outPut + opTop; } } } stackX.push(opThis); } private void getParen(char ch) { while (!stackX.isEmpty()) { char chx = stackX.pop(); if (chx == '(') { break; } else { outPut = outPut + chx; } } } /** * 计算后缀表达式的结果 * @param output * @return */ public int doParse(String output) { stackR = new StackR(20); //新建堆栈 char ch; int num1, num2, interAns; for (int i = 0; i < output.length(); i++) { //遍历后缀表达式的字符串 ch = output.charAt(i); // 读取到每一个字符 stackR.displayStack(ch + " "); if (ch >= '0' && ch <= '9') { // 判断是不是数字 stackR.push((int) (ch - '0')); // 放入到栈里 } else { num2 = stackR.pop(); // 如果不是数字,就从栈里取出两个数字 num1 = stackR.pop(); switch (ch) { // 判断是哪个运算符,并计算 case '+': interAns = num1 + num2; break; case '-': interAns = num1 - num2; break; case '*': interAns = num1 * num2; break; case '/': interAns = num1 / num2; break; default: interAns = 0; } stackR.push(interAns); // 把计算结果放入栈里 } } interAns = stackR.pop(); // 获得最终结果 return interAns; } /** * 获取用户输入 * @return * @throws IOException */ public static String getString() throws IOException { InputStreamReader isr = new InputStreamReader(System.in); BufferedReader br = new BufferedReader(isr); String s = br.readLine(); return s; } public static void main(String[] args) throws IOException { String input, output; while (true) { System.out.print("Enter infix: "); System.out.flush(); input = getString(); if (input.equals("")) { break; } InTOPost toPost = new InTOPost(input); output = toPost.doTrans(); System.out.println("Postfix is " + output + " "); int result = toPost.doParse(output); System.out.println("结果:" + result); } }
运行测试:
请输入: (4+2*3)/2
For ( Stack (bottom-->top):
For 4 Stack (bottom-->top): (
For + Stack (bottom-->top): (
For 2 Stack (bottom-->top): ( +
For * Stack (bottom-->top): ( +
For 3 Stack (bottom-->top): ( + *
For ) Stack (bottom-->top): ( + *
For / Stack (bottom-->top):
For 2 Stack (bottom-->top): /
While Stack (bottom-->top): /
End Stack (bottom-->top):
Postfix is 423*+2/
4 Stack (bottom-->top):
2 Stack (bottom-->top): 4
3 Stack (bottom-->top): 4 2
* Stack (bottom-->top): 4 2 3
+ Stack (bottom-->top): 4 6
2 Stack (bottom-->top): 10
/ Stack (bottom-->top): 10 2
结果:5