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 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;
}
// sample client for testing
public static void main(String[] args) {
Complex a = new Complex(5.0, 6.0);
Complex b = new Complex(-3.0, 4.0);
System.out.println("a = " + a);
System.out.println("b = " + b);
System.out.println("Re(a) = " + a.re());
System.out.println("Im(a) = " + a.im());
System.out.println("b + a = " + b.plus(a));
System.out.println("a - b = " + a.minus(b));
System.out.println("a * b = " + a.times(b));
System.out.println("b * a = " + b.times(a));
System.out.println("a / b = " + a.divides(b));
System.out.println("(a / b) * b = " + a.divides(b).times(b));
System.out.println("conj(a) = " + a.conjugate());
System.out.println("|a| = " + a.abs());
System.out.println("tan(a) = " + a.tan());
}
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;
}
@Override
public Complex add(Complex other) {
return Complex.rectangular(this.re() + other.re(), this.im() + other.im()).toPolar();
}
public Complex subtract(Complex a) {
Complex c2 = new Complex(0, 0);
c2.re = re - a.re;
c2.im = im - a.im;
return c2;
}
public Complex add(Complex a) {
Complex c1 = new Complex(0, 0);
c1.re = re + a.re;
c1.im = im + a.im;
return c1;
}
