public static ComplexNumbers operator -(ComplexNumbers num1_, double num2_)
{
double real = num1_.real - num2_;
double img = num1_.img;
ComplexNumbers temp = new ComplexNumbers(real, img);
return(temp);
}
public static ComplexNumbers operator *(ComplexNumbers num1_, double num2_)
{
double real = num1_.real * num2_;//(a + bi) * (c + di) = (ac+bd) + (ad+bc)i
double img = num1_.img * num2_;
ComplexNumbers temp = new ComplexNumbers(real, img);
return(temp);
}
public static ComplexNumbers operator +(ComplexNumbers num1_, ComplexNumbers num2_)
{
double real = num1_.real + num2_.real;
double img = num1_.img + num2_.img;
ComplexNumbers temp = new ComplexNumbers(real, img);
return(temp);
}
public static ComplexNumbers operator /(ComplexNumbers num1_, ComplexNumbers num2_)
{
if (num2_.real == 0 && num2_.img == 0)
{
throw new DivideByZeroException();
}
else
{
double dividend = num2_.real * num2_.real + num2_.img * num2_.img;//c^2 + d^2
ComplexNumbers conjugate = new ComplexNumbers(num2_.real, -num2_.img);
ComplexNumbers temp = (num1_ * conjugate) / dividend;
return(temp);
}
}
public static ComplexNumbers operator /(ComplexNumbers num1_, double num2_)
{
if (num2_ == 0)
{
throw new DivideByZeroException();
}
else
{
double real = num1_.real / num2_;
double img = num1_.img / num2_;
ComplexNumbers temp = new ComplexNumbers(real, img);
return(temp);
}
}
public static ComplexNumbers operator /(double num1_, ComplexNumbers num2_)
{
if (num2_.real == 0 && num2_.img == 0)
{
throw new DivideByZeroException();
}
else
{
double dividend = num2_.real * num2_.real + num2_.img * num2_.img; //a^2 + b^2
double real = (num1_ * num2_.real) / dividend; //(m * a) / (a^2 + b^2)
double img = (num1_ * num2_.img) / dividend; //(m * -bi) / (a^2 + b^2)
ComplexNumbers temp = new ComplexNumbers(real, img);
return(temp);
}
}
public static ComplexNumbers operator ^(ComplexNumbers num_, int index_)
{
ComplexNumbers temp = num_;
if (index_ > 0)
{
for (int i = 0; i < index_ - 1; i++)
{
temp *= num_;
}
return(temp);//power on integer by muiltyply
}
else if (index_ == 0)
{
return(new ComplexNumbers(1, 0));
}
else
{
temp = temp ^ (-index_);
temp = 1 / temp;
return(temp);
}
}
public static void show(ComplexNumbers num)
{
num.Show();
}