import java.util.EmptyStackException;

import java.util.Stack;

public class CaculateFunction {

private static String[] TrnsInToSufix(String IFX)// PFX放后綴表達式，IFX為中綴表達式

{

String PFX[] = new String[IFX.length()];

StringBuffer numBuffer = new StringBuffer();// 用來保存一個數的

Stack s = new Stack();// 放操作符

String a;

s.push("=");// 第一個為等號

int i = 0, j = 0;

char ch;

for (i = 0; i < IFX.length();) {

ch = IFX.charAt(i);

switch (ch) {

case '0':

case '1':

case '2':

case '3':

case '4':

case '5':

case '6':

case '7':

case '8':

case '9':

while (Character.isDigit(ch) || ch == '.')// 拼數

{

numBuffer.append(ch); // 追加字符

ch = IFX.charAt(++i);

}

PFX[j++] = numBuffer.toString();// break;

numBuffer = new StringBuffer(); // 清空已獲取的運算數字

continue; // 這里要重新循環，因為i已經增加過了

case '(':

s.push("(");

break;

case ')':

while (s.peek() != "(")

PFX[j++] = s.pop();

break;

case '+':

case '-':

while (s.size() > 1 && s.peek() != "(")

PFX[j++] = s.pop();

a = String.valueOf(ch);

s.push(a);

break;

case '*':

case '/':

while (s.size() > 1 && (s.peek() == "*") || s.peek() == "/"

|| s.peek() == "s" || s.peek() == "c"

|| s.peek() == "t" || s.peek() == "^"

|| s.peek() == "√")

// 優先級比較，與棧頂比較，

PFX[j++] = s.pop();// 當前操作符優先級大于等于棧頂的彈出棧頂

a = String.valueOf(ch);

s.push(a);

break;

case 's':

case 'c':

case 't':// 三角函數

while (s.size() > 1

&& (s.peek() == "s" || s.peek() == "c"

|| s.peek() == "t" || s.peek() == "^" || s

.peek() == "√"))

// 優先級比較，與棧頂，大于等于的彈出

PFX[j++] = s.pop();

a = String.valueOf(ch);

s.push(a);

break;

case '^':// 冪

case '√':// 開方

while (s.size() > 1 && (s.peek() == "^" || s.peek() == "√"))

PFX[j++] = s.pop();

a = String.valueOf(ch);

s.push(a);

break;

}

i++;

}

while (s.size() > 1)

PFX[j++] = s.pop();

PFX[j] = "=";

return PFX;

}

public static String Evaluate(String IFX)// 后綴表達式求值

{

String PFX[] = null;

try {

PFX = TrnsInToSufix(IFX);

} catch (EmptyStackException e) {

return "syntax error";

}

int i = 0;

double x1, x2, n;

String str;

Stack s = new Stack();

while (PFX[i] != "=") {

str = PFX[i];

switch (str.charAt(0)) {

case '0':

case '1':

case '2':

case '3':

case '4':

case '5':

case '6':

case '7':

case '8':

case '9':

s.push(str);

break;

case '+':

x1 = Double.parseDouble(s.pop());

x2 = Double.parseDouble(s.pop());

n = x1 + x2;

s.push(String.valueOf(n));

break;

case '-':

x1 = Double.parseDouble(s.pop());

x2 = Double.parseDouble(s.pop());

n = x2 - x1;

s.push(String.valueOf(n));

break;

case '*':

x1 = Double.parseDouble(s.pop());

x2 = Double.parseDouble(s.pop());

n = x1 * x2;

s.push(String.valueOf(n));

break;

case '/':

x1 = Double.parseDouble(s.pop());

x2 = Double.parseDouble(s.pop());

n = x2 / x1;

s.push(String.valueOf(n));

break;

case 's':

x1 = Double.parseDouble(s.pop());

n = Math.sin(x1 * Math.PI / 180);

s.push(String.valueOf(n));

break;

case 'c':

x1 = Double.parseDouble(s.pop());

n = Math.cos(x1 * Math.PI / 180);

s.push(String.valueOf(n));

break;

case 't':

x1 = Double.parseDouble(s.pop());

n = Math.tan(x1 * Math.PI / 180);

s.push(String.valueOf(n));

break;

case '√':

x1 = Double.parseDouble(s.pop());

n = Math.sqrt(x1);

s.push(String.valueOf(n));

break;// 開方

case '^':

x1 = Double.parseDouble(s.pop());

x2 = Double.parseDouble(s.pop());

n = Math.pow(x2, x1);

s.push(String.valueOf(n));

break;

}

i++;

}

String result = s.pop();

return result;

}

public static void main(String args[]) {

System.out.println(Evaluate("(31 + 21) * 51 - (21 + 33) / 2 = "));

}

}

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