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, double num2)
{
double real = num1.real - num2;
double img = num1.img;
ComplexNumbers temp = new ComplexNumbers(real, img);
return(temp);
}
public static ComplexNumbers operator -(double num1, ComplexNumbers num2)
{
double real = num1 - num2.real;
double img = -num2.img;
ComplexNumbers temp = new ComplexNumbers(real, img);
return(temp);
}
public static ComplexNumbers operator ^(ComplexNumbers num, int index)
{
ComplexNumbers temp = num;
for (int i = 0; i < index - 1; i++)
{
temp *= num;
}
return(temp);//power on integer by muiltyply
}
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 /(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
double real = (num1.real * num2.real - num1.img * num2.img) / dividend; //(ac - bd) / (c^2 + d^2)
double img = (num1.img * num2.real - num1.real * num2.img) / dividend; //(bd - ac) / (c^2 + d^2)
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);
}
}