Suspicious special case in "log"

    public Complex log() {
        if (real == Double.POSITIVE_INFINITY &&
            imaginary == Double.POSITIVE_INFINITY) {
            return new Complex(Double.POSITIVE_INFINITY, PI_OVER_4);
        } else if (real == Double.POSITIVE_INFINITY &&
                   Double.isNaN(imaginary)) {
            return new Complex(Double.POSITIVE_INFINITY, Double.NaN);
        } else if (Double.isNaN(real) &&
                   imaginary == Double.POSITIVE_INFINITY) {
            return new Complex(Double.POSITIVE_INFINITY, Double.NaN);
        }
        return new Complex(Math.log(abs()),
                           Math.atan2(imaginary, real));
    }