Method atan

src/org/opensourcephysics/numerics/Complex.java:636–648

()

  }

  public Complex atan() {
    // atan(z) = -i/2 * log((i-z)/(i+z))
    double tempRe, tempIm;
    Complex result = new Complex(-re, 1.0-im);
    tempRe = re;
    tempIm = 1.0+im;
    result = result.div(new Complex(tempRe, tempIm));
    tempRe = Math.log(result.abs());
    tempIm = result.arg();
    result.re = 0.5*tempIm;
    result.im = -0.5*tempRe;
    return result;
  }

  //------------------------------------------------------------------------
  // Hyperbolic trigonometric functions