Method acos

src/org/opensourcephysics/numerics/Complex.java:617–634

()

  }

  public Complex acos() {
    Complex result;
    double tempRe, tempIm;
    //  acos(z)  =  -i * log( z + i * sqrt(1 - z*z) )
    tempRe = 1.0-((re*re)-(im*im));
    tempIm = 0.0-((re*im)+(im*re));
    result = new Complex(tempRe, tempIm);
    result = result.sqrt();
    tempRe = -result.im;
    tempIm = result.re;
    result.re = re+tempRe;
    result.im = im+tempIm;
    tempRe = Math.log(result.abs());
    tempIm = result.arg();
    result.re = tempIm;
    result.im = -tempRe;
    return result;
  }

  public Complex atan() {
    // atan(z) = -i/2 * log((i-z)/(i+z))