public override IFunction derivative()
{
IFunction leftSide, rightSide, multipleDderivative;
leftSide = new Multiplication(Toleft.derivative(), ToRight);
rightSide = new Multiplication(Toleft, ToRight.derivative());
multipleDderivative = new AddFunction(leftSide, rightSide);
return(multipleDderivative);
}
public override IFunction derivative()
{
IFunction leftSide, rightSide, addDderivative;
leftSide = Toleft.derivative();
rightSide = ToRight.derivative();
addDderivative = new AddFunction(leftSide, rightSide);
return(addDderivative);
}
public override string BinaryTree()
{
String temp = "\nnode" + this.Id + " [ label = \"*\" ][shape=polygon,sides=6,peripheries=3,color=lightpink,style=filled]\n";
temp += "node" + this.Id + " -- node" + Toleft.Id + "[style=dotted,color=purple]\n";
temp += Toleft.BinaryTree();
temp += "node" + this.Id + " -- node" + ToRight.Id + "[shape=record,color=purple]\n";
temp += ToRight.BinaryTree();
return(temp);
}
public override double Evaluate(double val)
{
if (ToRight.Evaluate(val) == 0)
{
throw new Exception("you can not devide by zero!");
}
double evaluation = Toleft.Evaluate(val) / ToRight.Evaluate(val);
return(evaluation);
}
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 override IFunction Simplify()
{
if (ToRight.GetType() == typeof(Numbers))
{
if (ToRight.ToInfix() == "0")
{
throw new Exception("Can not divide by zero!");
}
}
if (Toleft.GetType() == typeof(Numbers))
{
if (Toleft.ToInfix() == "0")
{
return(new Numbers(0));
}
}
return(new DevisionFunction(Toleft, ToRight));
}
public override IFunction Simplify()
{
if (Toleft.GetType() == typeof(Numbers))
{
if (Toleft.ToInfix() == "0")
{
return(new Numbers(0));
}
}
if (ToRight.GetType() == typeof(Numbers))
{
if (ToRight.ToInfix() == "0")
{
return(new Numbers(0));
}
return(new Multiplication(Toleft, ToRight));
}
else
{
return(new Multiplication(Toleft, ToRight));
}
}
public override string ToPrefix()
{
string toprefixvalue = Toleft.ToPrefix() + ToRight.ToPrefix();
return(toprefixvalue);
}
public override double Evaluate(double val)
{
double evaluation = Toleft.Evaluate(val) * ToRight.Evaluate(val);
return(evaluation);
}