//Argument of a complex number
public double Arg()
{
myDouble a = new myDouble(0.0);
if (re > a)
{
return((im / re).atan());
}
else if (re < a && im >= a)
{
return((im / re).atan() + Math.PI);
}
else if (re < a && im < a)
{
return((im / re).atan() - Math.PI);
}
else if (re == a && im > a)
{
return(Math.PI / 2);
}
else if (re == a && im < a)
{
return(-Math.PI / 2);
}
else
{
Console.WriteLine("An indeterminate value.");
throw new System.Exception();
}
}
// Division operator for Complex(divides op1 to op2 with the formula described below and returns as new Complex)
// (a+b*i)/(c+d*i) = ((a+b*i)(c-d*i))/((c+d*i)(c-d*i)) = ((a*c + b*d)/(c*c +d*d)) + ((b*c-a*d)/(c*c+d*d)i)
public static Complex operator /(Complex op1, Complex op2)
{
myDouble a = new myDouble(0.0);
if (op2.re == a && op2.im == a)
{
Console.WriteLine("You can't divide by zero.");
throw new System.DivideByZeroException();
}
else
{
return(new Complex((op1.re * op2.re + op1.im * op2.im) / (op2.re * op2.re + op2.im * op2.im),
(op1.im * op2.re - op1.re * op2.im) / (op2.re * op2.re + op2.im * op2.im)));
}
}
//Prints the complex number in the form of a+bi
public void printFull()
{
myDouble a = new myDouble(0.0);
if (im < a)
{
Console.WriteLine("{0:R}+{1:R}i", re.num, -im.num, "\n");
}
else if (im == a)
{
Console.WriteLine("{0:R}", re.num);
}
else
{
Console.WriteLine("{0:R}-{1:R}i", re.num, im.num, "\n");
}
}
static void Main(string[] args)
{
myDouble a = new myDouble(2.5);
myDouble b = new myDouble(-5.5);
myDouble c = new myDouble(-6.0);
myDouble d = new myDouble(3.0);
Complex example1 = new Complex(a, b);
Complex example2 = new Complex(c, d);
(example1 + example2).printFull();
(example1 + example2).printParts();
(example1 - example2).printFull();
(example1 - example2).printParts();
(example1 * example2).printFull();
(example1 * example2).printParts();
(example1 / example2).printFull();
(example1 / example2).printParts();
Console.WriteLine("{0:R}", example1.Abs(), "\n");
Console.WriteLine("{0:R}", example1.Arg(), "\n");
Console.WriteLine("{0:R}", example2.Abs(), "\n");
Console.WriteLine("{0:R}", example2.Arg(), "\n");
}
public Complex(myDouble _re, myDouble _im)
{
re = _re;
im = _im;
}