public Complex tanh() {
double scalar;
double temp1Re, temp1Im;
double temp2Re, temp2Im;
Complex sinRes, cosRes;
// tanh(z) = sinh(z) / cosh(z)
scalar = Math.exp(re);
temp1Re = scalar * Math.cos(im);
temp1Im = scalar * Math.sin(im);
scalar = Math.exp(-re);
temp2Re = scalar * Math.cos(-im);
temp2Im = scalar * Math.sin(-im);
temp1Re -= temp2Re;
temp1Im -= temp2Im;
sinRes = new Complex(0.5 * temp1Re, 0.5 * temp1Im);
scalar = Math.exp(re);
temp1Re = scalar * Math.cos(im);
temp1Im = scalar * Math.sin(im);
scalar = Math.exp(-re);
temp2Re = scalar * Math.cos(-im);
temp2Im = scalar * Math.sin(-im);
temp1Re += temp2Re;
temp1Im += temp2Im;
cosRes = new Complex(0.5 * temp1Re, 0.5 * temp1Im);
return sinRes.div(cosRes);
}
/** Returns the tangent of this complex number. */
public Complex tan() {
// tan(z) = sin(z)/cos(z)
double izRe, izIm;
double temp1Re, temp1Im;
double temp2Re, temp2Im;
double scalar;
Complex sinResult, cosResult;
// sin(z) = ( exp(i*z) - exp(-i*z) ) / (2*i)
izRe = -im;
izIm = re;
// first exp
scalar = Math.exp(izRe);
temp1Re = scalar * Math.cos(izIm);
temp1Im = scalar * Math.sin(izIm);
// second exp
scalar = Math.exp(-izRe);
temp2Re = scalar * Math.cos(-izIm);
temp2Im = scalar * Math.sin(-izIm);
temp1Re -= temp2Re;
temp1Im -= temp2Im;
sinResult = new Complex(0.5 * temp1Re, 0.5 * temp1Im);
// cos(z) = ( exp(i*z) + exp(-i*z) ) / 2
izRe = -im;
izIm = re;
// first exp
scalar = Math.exp(izRe);
temp1Re = scalar * Math.cos(izIm);
temp1Im = scalar * Math.sin(izIm);
// second exp
scalar = Math.exp(-izRe);
temp2Re = scalar * Math.cos(-izIm);
temp2Im = scalar * Math.sin(-izIm);
temp1Re += temp2Re;
temp1Im += temp2Im;
cosResult = new Complex(0.5 * temp1Re, 0.5 * temp1Im);
return sinResult.div(cosResult);
}
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;
}
private void ift(Complex[] F, byte[] img, int width, int height) {
for (int x = 0; x < height; x++) {
for (int y = 0; y < width; y++) {
Complex c = new Complex();
for (int u = 0; u < height; u++) {
for (int v = 0; v < width; v++) {
Complex tmp =
Complex.fromPolar(
1, 2.0 * Math.PI * (u * x / (double) height + v * y / (double) width));
c = c.plus(tmp.mul(F[u * width + v]));
}
}
c = c.div(height * width);
c = c.mul(Math.pow(-1, (x + y)));
if (c.getReal() < 0) c.setReal(0.0);
System.out.println(c.getReal());
img[x * width + y] = (byte) (c.getReal());
}
}
}
/**
* <u>Berechnen des Kotangens-Hyperbolikus der komplexen Zahl</u><br>
*
* @return Rückgabe eines Objektes vom Typ Complex mit Lösung aus coth(<u>z</u>)
*/
public static Complex coth(Complex comp) {
return Complex.div(comp.cosh(), comp.sinh());
}
/**
* <u>Berechnen des Kotangens-Hyperbolikus der komplexen Zahl</u><br>
*
* @return Rückgabe eines Objektes vom Typ Complex mit Lösung aus coth(<u>z</u>)
*/
public Complex coth() {
return Complex.div(this.cosh(), this.sinh());
}
