public override IFunction derivative()
{
IFunction leftSide, rightSide, addDderivative;
leftSide = Toleft.derivative();
rightSide = ToRight.derivative();
addDderivative = new MinusFunction(leftSide, rightSide);
return(addDderivative);
}
public override IFunction derivative()
{
IFunction devisionDderivative, leftabove, rightabove, minusAboveDevision, powerDown;
leftabove = new Multiplication(Toleft.derivative(), ToRight);
rightabove = new Multiplication(Toleft, ToRight.derivative());
minusAboveDevision = new MinusFunction(leftabove, rightabove);
powerDown = new Power(ToRight, new Numbers(2));
devisionDderivative = new DevisionFunction(minusAboveDevision, powerDown);
return(devisionDderivative);
}
public IFunction fpa(ref string s) //parse the proposition
{
IFunction f;
while (s != null)
{
switch (s[0])
{
case '0':
s = s.Remove(0, 1);
f = new Numbers(0);
function += "0";
return(f);
case '1':
s = s.Remove(0, 1);
f = new Numbers(1);
function += "1";
return(f);
case '2':
s = s.Remove(0, 1);
f = new Numbers(2);
function += "2";
return(f);
case '3':
s = s.Remove(0, 1);
f = new Numbers(3);
function += "3";
return(f);
case '4':
s = s.Remove(0, 1);
f = new Numbers(4);
function += "4";
return(f);
case '5':
s = s.Remove(0, 1);
f = new Numbers(5);
function += "5";
return(f);
case '6':
s = s.Remove(0, 1);
f = new Numbers(6);
function += "6";
return(f);
case '7':
s = s.Remove(0, 1);
f = new Numbers(7);
function += "7";
return(f);
case '8':
s = s.Remove(0, 1);
f = new Numbers(8);
function += "8";
return(f);
case '9':
s = s.Remove(0, 1);
f = new Numbers(9);
function += "9";
return(f);
case 'x':
s = s.Remove(0, 1);
f = new XValue("x");
function += "x";
return(f);
case 'p':
s = s.Remove(0, 1);
f = new PValue("p");
function += "Pi";
return(f);
case '!':
s = s.Remove(0, 1);
string[] myNumber = s.Split(new char[] { '(', ')', ',' });
int cnt = myNumber.Count();
RemoveWhiteSpaces(ref s);
RemoveWhiteSpaces(ref s);
int number1 = Convert.ToInt32(myNumber[1]);
s = s.Remove(0, 1); //remove (
foreach (char var in myNumber[1])
{
s = s.Remove(0, 1); //remove int number
}
s = s.Remove(0, 1); //remove )
f = new Factorial(number1);
function += number1.ToString();
function += "!";
Console.WriteLine(function);
return(f);
case 'l':
s = s.Remove(0, 1);
s = s.Remove(0, 1);
function += "ln(";
IFunction val = fpa(ref s);
function += ")";
s = s.Remove(0, 1);
f = new Ln(val);
//f = f.Simplify();
return(f);
case '+':
s = s.Remove(0, 1);
s = s.Remove(0, 1);
function += "(";
IFunction left = fpa(ref s);
function += "+";
s = s.Remove(0, 1);
IFunction right = fpa(ref s);
function += ")";
s = s.Remove(0, 1);
f = new AddFunction(left, right);
// f = f.Simplify();
return(f);
case '-':
s = s.Remove(0, 1);
s = s.Remove(0, 1);
function += "(";
IFunction leftMinus = fpa(ref s);
function += "-";
s = s.Remove(0, 1);
IFunction rightMinus = fpa(ref s);
function += ")";
s = s.Remove(0, 1);
f = new MinusFunction(leftMinus, rightMinus);
//f = f.Simplify();
return(f);
case 's':
s = s.Remove(0, 1);
s = s.Remove(0, 1);
function += "s(";
IFunction inputForSinValue = fpa(ref s);
f = new Sin(inputForSinValue);
function += ")";
s = s.Remove(0, 1);
return(f);
case '^':
s = s.Remove(0, 1);
s = s.Remove(0, 1);
function += "(";
IFunction left1 = fpa(ref s);
function += "^";
s = s.Remove(0, 1);
IFunction right2 = fpa(ref s);
function += ")";
s = s.Remove(0, 1);
f = new Power(left1, right2);
//f = f.Simplify();
return(f);
case 'n':
s = s.Remove(0, 1);
string[] myNumbers = s.Split(new char[] { '(', ')', ',' });
int count = myNumbers.Count();
RemoveWhiteSpaces(ref s);
RemoveWhiteSpaces(ref s);
int num = Convert.ToInt32(myNumbers[1]);
s = s.Remove(0, 1); //remove (
foreach (char var in myNumbers[1])
{
s = s.Remove(0, 1); //remove int number
}
s = s.Remove(0, 1); //remove )
f = new Numbers(num);
function += "n(" + num.ToString() + ")";
return(f);
case 'r':
s = s.Remove(0, 1);
string[] myRealNumbers = s.Split(new char[] { '(', ')', ',' });
int countRealNr = myRealNumbers.Count();
RemoveWhiteSpaces(ref s);
RemoveWhiteSpaces(ref s);
decimal realNumber = Convert.ToDecimal(myRealNumbers[1]);
s = s.Remove(0, 1); //remove (
foreach (char var in myRealNumbers[1])
{
s = s.Remove(0, 1); //remove int number
}
s = s.Remove(0, 1); //remove )
f = new RealNumber(realNumber);
function += "r(" + realNumber.ToString() + ")";
return(f);
case '*':
s = s.Remove(0, 1);
s = s.Remove(0, 1);
function += "(";
IFunction leftMuiltiplication = fpa(ref s);
function += "*";
s = s.Remove(0, 1);
IFunction rightMuiltiplication = fpa(ref s);
s = s.Remove(0, 1);
function += ")";
f = new Multiplication(leftMuiltiplication, rightMuiltiplication);
//f = f.Simplify();
return(f);
case '/':
s = s.Remove(0, 1);
s = s.Remove(0, 1);
function += "(";
IFunction leftDevision = fpa(ref s);
function += "/";
s = s.Remove(0, 1);
IFunction rightDevision = fpa(ref s);
function += ")";
s = s.Remove(0, 1);
f = new DevisionFunction(leftDevision, rightDevision);
// f = f.Simplify();
return(f);
case 'c':
s = s.Remove(0, 1);
s = s.Remove(0, 1);
function += "cos(";
IFunction inputForCosValue = fpa(ref s);
f = new Cos(inputForCosValue);
function += ")";
s = s.Remove(0, 1);
return(f);
case 'e':
s = s.Remove(0, 1);
function += "exp(";
string[] myExponential = s.Split(new char[] { '(', ')', ',' });
if (myExponential[1] == "") // l(e)
{
f = new RealNumber((decimal)2.718281);
function += ")";
}
else
{
s = s.Remove(0, 1);
IFunction innerEqExp = fpa(ref s);
function += ")";
f = new Expotential(innerEqExp);
// f = f.Simplify();
s = s.Remove(0, 1);
}
return(f);
default:
MessageBox.Show("unhandled value for the input textbox: " + s[0]);
throw new ArgumentOutOfRangeException("unknown value");
}
}
return(null);
}
