public static int Evaluate(string postfixNotationString)
{
if (string.IsNullOrWhiteSpace(postfixNotationString))
{
throw new ArgumentException("Argument postfixNotationString must not be null, empty or whitespace.", "postfixNotationString");
}
Stack <string> stack = new Stack <string>();
string sanitizedString = new string(postfixNotationString.Where(c => AllowedCharacters.Contains(c)).ToArray());
List <string> enumerablePostfixTokens = sanitizedString.Split(new char[] { ' ' }, StringSplitOptions.RemoveEmptyEntries).ToList();
foreach (string token in enumerablePostfixTokens)
{
if (token.Length > 0)
{
if (token.Length > 1)
{
if (ParserTokens.IsNumeric(token))
{
stack.Push(token);
}
else
{
throw new Exception("Operators and operands must be separated by a space.");
}
}
else
{
char tokenChar = token[0];
if (ParserTokens.Numbers.Contains(tokenChar))
{
stack.Push(tokenChar.ToString());
}
else if (ParserTokens.Operators.Contains(tokenChar))
{
if (stack.Count < 2)
{
if (tokenChar == '-')
{
string val = $"-{stack.Pop()}";
stack.Push(val);
continue;
}
else
{
throw new FormatException("The algebraic string has not sufficient values in the expression for the number of operators.");
}
}
string r = stack.Pop();
string l = stack.Pop();
int rhs = int.MinValue;
int lhs = int.MinValue;
bool parseSuccess = int.TryParse(r, out rhs);
parseSuccess &= int.TryParse(l, out lhs);
if (!parseSuccess)
{
throw new Exception("Unable to parse valueStack characters to Int32.");
}
int value = int.MinValue;
if (tokenChar == '+')
{
value = lhs + rhs;
}
else if (tokenChar == '-')
{
value = lhs - rhs;
}
else if (tokenChar == '*')
{
value = lhs * rhs;
}
else if (tokenChar == '/')
{
value = lhs / rhs;
}
else if (tokenChar == '^')
{
value = (int)Math.Pow(lhs, rhs);
}
else
{
throw new Exception(string.Format("Unrecognized token '{0}'.", tokenChar));
}
if (value != int.MinValue)
{
stack.Push(value.ToString());
}
else
{
throw new Exception("Value never got set.");
}
}
else
{
throw new Exception(string.Format("Unrecognized character '{0}'.", tokenChar));
}
}
}
else
{
throw new Exception("Token length is less than one.");
}
}
if (stack.Count == 1)
{
int result = 0;
if (!int.TryParse(stack.Pop(), out result))
{
throw new Exception("Last value on stack could not be parsed into an integer.");
}
return(result);
}
else
{
throw new Exception("The input has too many values for the number of operators.");
}
} // method
public static string Convert(string infixNotationString)
{
if (string.IsNullOrWhiteSpace(infixNotationString))
{
throw new ArgumentException("Argument infixNotationString must not be null, empty or whitespace.", "infixNotationString");
}
ExpectingType expectingType = ExpectingType.UnaryOrNumber;
char lastChar = '\0';
string number = string.Empty;
List <string> enumerableInfixTokens = new List <string>();
string inputString = new string(infixNotationString.Where(c => ParserTokens.AllowedCharacters.Contains(c)).ToArray());
foreach (char c in inputString)
{
if (ParserTokens.IsOperatorOrNull(lastChar))
{
expectingType = ExpectingType.UnaryOrNumber;
}
else if (ParserTokens.IsNumericOrUnary(lastChar))
{
expectingType = ExpectingType.BinaryOperator;
}
else
{
throw new Exception($"Unexpected type '{(string.IsNullOrWhiteSpace(enumerableInfixTokens.LastOrDefault()) ? "" : enumerableInfixTokens.Last())}'.");
}
if (ParserTokens.Numbers.Contains(c))
{
number += c.ToString();
}
else if (c == '-' && expectingType == ExpectingType.UnaryOrNumber)
{
number += c.ToString();
}
else if (c == '+' && expectingType == ExpectingType.UnaryOrNumber)
{
// Do nothing
}
else if (c == '(')
{
if (number.Length > 0)
{
enumerableInfixTokens.Add(number);
number = string.Empty;
}
enumerableInfixTokens.Add(c.ToString());
}
else if (expectingType == ExpectingType.BinaryOperator)
{
if (ParserTokens.Operators.Contains(c) || ")".Contains(c))
{
if (number.Length > 0)
{
enumerableInfixTokens.Add(number);
number = string.Empty;
}
enumerableInfixTokens.Add(c.ToString());
}
else
{
throw new Exception($"Unexpected character '{c}'. Was expecting: BinaryOperator");
}
}
else
{
throw new Exception($"Unexpected character '{c}'. Was expecting: UnaryOrNumber");
}
lastChar = c;
}
if (number.Length > 0)
{
enumerableInfixTokens.Add(number);
number = string.Empty;
}
List <char> outputQueue = new List <char>();
Stack <char> operatorStack = new Stack <char>();
foreach (string token in enumerableInfixTokens)
{
if (ParserTokens.IsNumeric(token))
{
AddToOutput(outputQueue, token.ToArray());
}
else if (token.Length == 1)
{
char c = token[0];
if (ParserTokens.Numbers.Contains(c))
{
AddToOutput(outputQueue, c);
}
else if (ParserTokens.Operators.Contains(c))
{
if (operatorStack.Count > 0)
{
char o = operatorStack.Peek();
if (
(ParserTokens.AssociativityDictionary[c] == ParserTokens.Associativity.Left &&
ParserTokens.PrecedenceDictionary[c] <= ParserTokens.PrecedenceDictionary[o])
||
(ParserTokens.AssociativityDictionary[c] == ParserTokens.Associativity.Right &&
ParserTokens.PrecedenceDictionary[c] < ParserTokens.PrecedenceDictionary[o])
)
{
AddToOutput(outputQueue, operatorStack.Pop());
}
}
operatorStack.Push(c);
}
else if (c == '(')
{
operatorStack.Push(c);
}
else if (c == ')')
{
bool leftParenthesisFound = false;
while (operatorStack.Count > 0)
{
char o = operatorStack.Peek();
if (o == '(')
{
operatorStack.Pop();
leftParenthesisFound = true;
break;
}
AddToOutput(outputQueue, operatorStack.Pop());
}
if (!leftParenthesisFound)
{
throw new FormatException("The algebraic string contains mismatched parentheses (missing a left parenthesis).");
}
}
else
{
throw new Exception("Unrecognized character " + c.ToString());
}
}
else
{
throw new Exception(token + " is not numeric or has a length greater than 1.");
}
} // end foreach
while (operatorStack.Count > 0)
{
char o = operatorStack.Pop();
if ("()".Contains(o))
{
throw new FormatException("The algebraic string contains mismatched parentheses (extra " + (o == '(' ? "left" : "right") + " parenthesis).");
}
AddToOutput(outputQueue, o);
}
return(new string(outputQueue.ToArray()).TrimEnd());
}