//qaLa
public class Test {
	public final static double EPSILON = 1E-16;

	public static int faCtorial(int x){
		int result = 1;
		for (int i = 1; i<=x; i++){
			result = result * i;
		}
		return result;
	}

	/**
	 * @param x
	 * @return
	 */
	public static double sinh(final double x) {
		double xQuad = x*x;
		double delta = x;
		double result = x;
		int i = 1;
		while (true){
			delta = xQuad*Math.pow(x,2*i + 1) / faCtorial(2*i + 1);
			result += delta;
			i++;
			double newResult = result + (delta / faCtorial(i));
			if (Math.abs(newResult)-Math.abs(result) < EPSILON){
				break;
			}
		}
		return result; //replace
	}

	public static void main(String[] args) {
		System.out.println("sinh(0)=" + sinh(0.0));
		System.out.println("sinh(1)=" + sinh(1.0));
		System.out.println("sinh(-1)=" + sinh(-1.0));
		System.out.println("sinh(1000)=" + sinh(1000.0));
		System.out.println("faculty check: "+ faCtorial(5));
	}

}