I am working on a program that solves arithmetic equations.
An example of an equation would be:
4+(5/4)+3/((5/3-2.4(*(5-7))
I have a program that converts this equation from infix to postfix form but the program is messing up with the decimal in 2.4
.
It is treating 2 and 4 as separate numbers where they should be treated as one number. How would I solve this problem?
import java.util.EmptyStackException;
import java.util.Scanner;
import myUtil.*;
public class InfixToPostfix extends Asg6
{
public static class SyntaxErrorException extends Exception
{
SyntaxErrorException(String message)
{
super(message);
}
}
private AStack<Character> operatorStack;
private static final String operators = "+-*/^()";
private static final int[] precedence =
{
1, 1, 2, 2, 3, -1, -1
};
private StringBuilder postfix;
public String convert(String infix) throws SyntaxErrorException
{
operatorStack = new AStack<Character>();
postfix = new StringBuilder();
try
{
String nextToken;
Scanner scan = new Scanner(infix);
while ((nextToken = scan.findInLine("[\\p{L}\\p{N}]+|[-+/\\*^()]")) != null)
{
char firstChar = nextToken.charAt(0);
if (Character.isJavaIdentifierStart(firstChar) || Character.isDigit(firstChar))
{
postfix.append(nextToken);
postfix.append(' ');
}
else if (isOperator(firstChar))
{
processOperator(firstChar);
}
else
{
throw new SyntaxErrorException("Unexpected Character: " + firstChar);
}
}
while (!operatorStack.empty())
{
char op = operatorStack.pop();
if (op == '(')
{
throw new SyntaxErrorException("Unmatched parenthesis");
}
postfix.append(op);
postfix.append(' ');
}
return postfix.toString();
}
catch (EmptyStackException ex)
{
throw new SyntaxErrorException("Syntax Error: The stack is empty");
}
}
private void processOperator(char op)
{
if (operatorStack.empty() || op == '(')
{
operatorStack.push(op);
}
else
{
char topOp = operatorStack.peek();
if (precedence(op) > precedence(topOp))
{
operatorStack.push(op);
}
else
{
while (!operatorStack.empty() && precedence(op) <= precedence(topOp))
{
operatorStack.pop();
if (topOp == '(')
{
break;
}
postfix.append(topOp);
postfix.append(' ');
if (!operatorStack.empty())
{
topOp = operatorStack.peek();
}
}
if (op != ')')
{
operatorStack.push(op);
}
}
}
}
private boolean isOperator(char ch)
{
return operators.indexOf(ch) != -1;
}
private int precedence(char op)
{
return precedence[operators.indexOf(op)];
}
}
This:
while((nextToken = scan.findInLine("[\\p{L}\\p{N}]+|[-+/\\*^()]")) != null)
will match a string of letters or a string of numeric characters, or one of the punctuation characters; but obviously you want something more complex than a simple string of numeric characters. The following will also match a string of 1 or more numeric characters, followed by a dot, followed by another string of 1 or more numeric characters:
while((nextToken = scan.findInLine("\\p{L}+|\\p{N}+(\\.\\p{N}+)?|[-+/\\*^()]")) != null)
The part in parentheses matches a dot and one or more digits; the ?
after the group means that it's a match if it finds one of these or if it doesn't (i.e. 0 or 1 occurrences of the sub-pattern).