programming-examples/java/Numerical_Problems/Java Program to Implement Shunting Yard Algorithm.java
2019-11-15 12:59:38 +01:00

130 lines
4.2 KiB
Java

/*
This is a Java Program to Implement Shunting Yard Algorithm. Shunting Yard algorithm is used for converting an infix expression into a postfix expression.
*/
/**
** Java Program to Implement Shunting Yard Algorithm
**/
import java.util.Scanner;
/** Class ShuntingYard **/
public class ShuntingYard
{
/** enum **/
private enum Precedence
{
lparen(0), rparen(1), plus(2), minus(3), divide(4), times(5), mod(6), eos(7), operand(8);
private int index;
Precedence(int index)
{
this.index = index;
}
public int getIndex()
{
return index;
}
}
/** in stack precedence **/
private static final int[] isp = {0, 19, 12, 12, 13, 13, 13, 0};
/** incoming character precedence **/
private static final int[] icp = {20, 19, 12, 12, 13, 13, 13, 0};
/** operators **/
private static final char[] operators = {'{', '}', '+', '-', '/', '*', '%', ' '};
/** precedence stack **/
private Precedence[] stack;
/** stack top pointer **/
private int top;
/** pop element from stack **/
private Precedence pop()
{
return stack[top--];
}
/** push element onto stack **/
private void push(Precedence ele)
{
stack[++top] = ele;
}
/** get precedence token for symbol **/
public Precedence getToken(char symbol)
{
switch (symbol)
{
case '(' :
return Precedence.lparen;
case ')' :
return Precedence.rparen;
case '+' :
return Precedence.plus;
case '-' :
return Precedence.minus;
case '/' :
return Precedence.divide;
case '*' :
return Precedence.times;
case '%' :
return Precedence.mod;
case ' ' :
return Precedence.eos;
default :
return Precedence.operand;
}
}
/** Function to convert infix to postfix **/
public String postfix(String infix)
{
String postfix = "";
top = 0;
stack = new Precedence[infix.length()];
stack[0] = Precedence.eos;
Precedence token;
for (int i = 0; i < infix.length(); i++)
{
token = getToken(infix.charAt(i));
/** if token is operand append to postfix **/
if (token == Precedence.operand)
postfix = postfix + infix.charAt(i);
/** if token is right parenthesis pop till matching left parenthesis **/
else if (token == Precedence.rparen)
{
while (stack[top] != Precedence.lparen)
postfix = postfix + operators[pop().getIndex()];
/** discard left parenthesis **/
pop();
}
/** else pop stack elements whose precedence is greater than that of token **/
else
{
while (isp[stack[top].getIndex()] >= icp[token.getIndex()])
postfix = postfix + operators[pop().getIndex()];
push(token);
}
}
/** pop any remaining elements in stack **/
while ((token = pop()) != Precedence.eos)
postfix = postfix + operators[token.getIndex()];
return postfix;
}
/** Main function **/
public static void main (String[] args)
{
Scanner scan = new Scanner(System.in);
System.out.println("Shunting Yard Algorithm Test\n");
/** Make an object of ShuntingYard class **/
ShuntingYard sy = new ShuntingYard();
/** Accept infix expression **/
System.out.println("Enter infix expression");
String infix = scan.next();
String postfix = sy.postfix(infix);
System.out.println("\nPostfix expression : "+ postfix);
}
}
/*
Enter infix expression
1+2*3/4-5%6*7/8+9-1
Postfix expression : 123*4/+56%7*8/-9+1-