//Returns true if all parens are matched and properly closed
//Uses an ArrayStack to match parens
private static bool ParensMatch(string input)
{
ArrayStack <char> parensStack = new ArrayStack <char>();
foreach (char c in input)
{
if (c.CompareTo('(') == 0)
{
parensStack.Push(c);
}
else if (c.CompareTo(')') == 0)
{
if (parensStack.IsEmpty() || parensStack.Pop().CompareTo('(') != 0)
{
return(false);
}
}
}
if (!parensStack.IsEmpty())
{
return(false);
}
return(true);
}
//Given a string denoting an infix math expression, converts to postfix
//Uses Dijkstra's Shunting-Yard Algorithm
private static string ConvertInfixToPostfix(string input)
{
string[] values = input.Split(' ');
StringBuilder rpn = new StringBuilder(input.Length);
ArrayDictionary <string, int> operators = new ArrayDictionary <string, int>(5);
operators.Add("^", 4);
operators.Add("*", 3);
operators.Add("x", 3);
operators.Add("/", 3);
operators.Add("+", 2);
operators.Add("-", 2);
operators.Add("(", -1);
operators.Add(")", -1);
ArrayStack <string> operatorStack = new ArrayStack <string>();
foreach (string item in values)
{
if (item.Equals(""))
{
break;
}
if (operators.ContainsKey(item)) //item is an operator
{
if (operatorStack.Size == 0) //stack is empty, we push operator to stack
{
operatorStack.Push(item);
continue;
}
if (item.Equals(")")) //we have a right paren
{
bool found = false;
while (!operatorStack.IsEmpty()) //searching for left paren
{
if (operatorStack.Peek().Equals("("))
{
found = true;
operatorStack.Pop();
break;
}
else
{
rpn.Append(operatorStack.Pop());
rpn.Append(" ");
}
}
if (!found && operatorStack.IsEmpty()) //stack empty, no left paren in sight
{
throw new ArgumentException("Mismatched parens");
}
}
else if (item.Equals("(")) //left parens always added to stack
{
operatorStack.Push(item);
}
else //we have an operator
{
if (item.Equals("^") && operators[item] < operators[operatorStack.Peek()])
{
rpn.Append(operatorStack.Pop());
rpn.Append(" ");
}
else if (operators[item] <= operators[operatorStack.Peek()])
{
rpn.Append(operatorStack.Pop());
rpn.Append(" ");
}
operatorStack.Push(item);
}
}
else //item is a number
{
double n;
if (!double.TryParse(item, out n))
{
throw new FormatException("Invalid input of number");
}
rpn.Append(n);
rpn.Append(" ");
}
}
while (!operatorStack.IsEmpty()) //we're done, dump stack onto output
{
if (operatorStack.Peek().Equals(")") || operatorStack.Peek().Equals("("))
{
throw new ArgumentException("Mismatched parens");
}
rpn.Append(operatorStack.Pop());
rpn.Append(" ");
}
return(rpn.ToString().Trim());
}