public ExpressionEvaluator(string _expression, bool verbose = false)
{
this._expression = _expression.Replace(" ", ""); // space is just formatting
_verbose = verbose;
if (_verbose)
{
Console.WriteLine($"Expression: {_expression}");
}
_operands = new Operands(this._expression.Length, _verbose);
_operators = new Operators(this._expression.Length, _verbose);
}
public double?Evaluate()
{
if (String.IsNullOrWhiteSpace(_expression))
{
Console.WriteLine("expression invalid: empty");
return(null);
}
bool pushedOperator = true;
for (int i = 0; i < _expression.Length; ++i)
{
string c = _expression[i].ToString();
if (_verbose)
{
Console.WriteLine($"Evaluate: {c}");
}
if (
pushedOperator &&
Operators.IsPositiveOp(c) &&
i + 1 < _expression.Length
) // plus unary is not needed, skip to next character
{
continue;
}
else
if (
pushedOperator &&
Operators.IsNegativeOp(c) &&
i + 1 < _expression.Length
)
{
_operators.ToggleNegation();
}
else
if (
Operands.IsEulerConst(c)
)
{
pushedOperator = false;
_operands.Push(Math.E);
}
else
if (
Operands.IsPiConst(c)
)
{
pushedOperator = false;
_operands.Push(Math.PI);
}
else
if (
Char.GetNumericValue(c[0]) != -1.0 ||
c == "."
) // this character represents the beginning of a number
{
var parsedNum = false;
for (var j = _expression.Length - i; j > 0; --j) // try to find the end of the number by starting to parse the rest of the expression as a number, shorten the attempted parsed substring until success
{
if (
!(parsedNum = double.TryParse(_expression.Substring(i, j), out var num))
)
{
continue;
}
// we found the longest possible number (e.g. 12 instead of 1)
i += j - 1;
pushedOperator = false;
num = _operators.MakeNegative() ? -num : num;
_operands.Push(num);
break;
}
if (!parsedNum)
{
return(null);
}
}
else
if (
pushedOperator &&
Operators.IsOpenParenthesisOp(c)
) // binary expression whose second operand is a sub expression, don't treat as implicit multiplication, unless sub expression is negated
{
if (_operators.MakeNegative())
{
_operands.Push(-1);
_operators.Push(Operators.MultiplicationOp());
}
pushedOperator = EvaluateUntilOperatorPush(c);
if (!pushedOperator)
{
return(null);
}
}
else
if (!pushedOperator) // character is a binary operator
{
if (Operators.IsOpenParenthesisOp(c)) // treat as implicit multiplication
{
if (!EvaluateUntilOperatorPush(Operators.MultiplicationOp()))
{
return(null);
}
pushedOperator = EvaluateUntilOperatorPush(c);
if (!pushedOperator)
{
return(null);
}
}
else
if (
Operators.IsBinaryOp(c)
)
{
pushedOperator = EvaluateUntilOperatorPush(c);
if (!pushedOperator)
{
return(null);
}
}
else
if (
Operators.IsCloseParenthesisOp(c)
)
{
pushedOperator = false;
if (!EvaluateUntilOpenParenthesis())
{
return(null);
}
}
else
{
Console.WriteLine($"character {c} is not a valid binary operator");
return(null);
}
}
else
{
Console.WriteLine($"character {c} is not a valid operand or valid unary operator");
return(null);
}
}
var done = EvaluateUntilDone();
if (!done) // there was error evaluating the expression
{
return(null);
}
while (_operands.CanPerformBinaryOperation()) // reduce operand stack to a single value by implicitly multiplying stack items together
{
_operands.Push(Multiplication());
}
return(_operands.Peek());
}