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 asinh() {
Complex result;
// asinh(z) = log(z + sqrt(z*z + 1))
result = new Complex(((re * re) - (im * im)) + 1, (re * im) + (im * re));
result = result.sqrt();
result.re += re;
result.im += im;
double temp = result.arg();
result.re = Math.log(result.abs());
result.im = temp;
return result;
}
public Complex atanh() {
// atanh(z) = 1/2 * log( (1+z)/(1-z) )
double tempRe, tempIm;
Complex result = new Complex(1.0 + re, im);
tempRe = 1.0 - re;
tempIm = -im;
result = result.div(new Complex(tempRe, tempIm));
tempRe = Math.log(result.abs());
tempIm = result.arg();
result.re = 0.5 * tempRe;
result.im = 0.5 * tempIm;
return result;
}
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;
}
public Complex asin() {
Complex result;
double tempRe, tempIm;
// asin(z) = -i * log(i*z + 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();
result.re += -im;
result.im += re;
tempRe = Math.log(result.abs());
tempIm = result.arg();
result.re = tempIm;
result.im = -tempRe;
return result;
}
