AForge.Math.Complex.Multiply C# (CSharp) Method

        public static Complex Multiply(Complex a, Complex b)
        {
            // (x + yi)(u + vi) = (xu – yv) + (xv + yu)i. 
            double aRe = a.Re, aIm = a.Im;
            double bRe = b.Re, bIm = b.Im;

            return new Complex(aRe*bRe - aIm*bIm, aRe*bIm + aIm*bRe);
        }

 /// <summary>
 /// Multiplies a complex number by a scalar value.
 /// </summary>
 ///
 /// <param name="a">A <see cref="Complex"/> instance.</param>
 /// <param name="s">A scalar value.</param>
 ///
 /// <returns>Returns new <see cref="Complex"/> instance containing the result of multiplication.</returns>
 ///
 public static Complex operator *(Complex a, double s)
 {
     return(Complex.Multiply(a, s));
 }