public class A {

	public static void main(String[] args) {
		System.out.println("Test: moves");
		double f = 10, m = 1, k = 0.1;
		double alpha = 10;
		System.out.println("moves: " + moves(f, m, k));
		System.out.println();
		System.out.println("rutscht " + rutscht(k, alpha));
		System.out.println();
		System.out.println("Test: calcSum");
		int n = 100;
		System.out.println("n: " + n + ", sum: " + calcSum(n));
		int o = -3;
		System.out.println("o: " + o + ", fakultät: " + calcFak(o));
		double beta = 3.14 / 2;
		System.out.println("Beta: " + beta + "Sinus(" + beta + ") = "
				+ SinX(beta));

	}

	// units: [F] = N, [m] = kg, [k] = 1
	static boolean moves(double f, double m, double k) {
		double g = 9.81;
		return (f > m * g * k);
	}

	// Aufgabe 2
	static boolean rutscht(double k, double alpha) {
		double sAlpha = Math.sin(alpha);
		double cAlpha = Math.cos(alpha);
		return (sAlpha > cAlpha * k);
	}

	// Aufgabe 3
	static int calcSum(int n) {
		int sum = 0;

		for (int i = 1; i <= n; i++) {
			sum = sum + i;
		}

		return sum;
	}

	// Aufgabe 4
	static double calcFak(int n) {
		int sum = 1;
		if (n < 0) {
			return 0;
		}
		;
		for (int i = 1; i <= n; i++) {
			sum = sum * i;
		}

		return sum;
	}

	// Aufgabe 5
	static double SinX(double beta) {
		double sin = 0;
		for (int n = 0; n < 8; n++) {
			sin = (Math.pow((-1), n)) * (Math.pow(beta, 2 * n + 1))
					/ calcFak(2 * n + 1);
		}
		return sin;
	}
}