//qaLa
public class Program {
	public final static double EPSILON = 1E-16;
	//EPSILON defined
	public static double faCtorial(double x){
		//factorial function
		double result = 1;
		for (double i = 1; i<=x; i++){
			result = result * i;
		}
		return result;
	}

	/**
	 * @param x
	 * @return
	 */
	public static double sinh(final double x) {
		//sinh method
		  double delta = x;
		  double result = x;
		  int i = 1;
		  while (true){
			  //always true, unless interrupted by break
		   delta = Math.pow(x, 2*i+1) / faCtorial(2*i+1);
		   result += delta;
		   i++;

			      if (Math.abs(delta) <= Math.abs(result)*EPSILON){
			      //interrupts loop
			    break;

			   }

			  }

		return result; //replaceD :)
	}

	public static void main(String[] args) {
		//modificated output
		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));
		//validation follows
		System.out.println();
		System.out.println("The following validates our results:");
		System.out.println("Validating the faCtorial method, inserting 5, result: "+ faCtorial(5));
		System.out.println("Value 1 must be: "+Math.sinh(0.0));
		System.out.println("Value 2 must be: "+Math.sinh(1.0));
		System.out.println("Value 3 must be: "+Math.sinh(-1.0));
		System.out.println("Value 4 must be: "+Math.sinh(1000.0));
	}

}