public class FunctionAnalysis {

    public static void main (String[] argv)
    {
	int N = 20;
	double interval = 10.0 / N;
	double[] x = new double [N];
	for (int i=0; i<N; i++) {
	    x[i] = i*interval;
	}

	// Change function1 to function2, up through function5
	double[] y = function1 (x);

	boolean isMono = isMonotonic (y);
	System.out.println ("isMonotonic=" + isMono);

	boolean isUni = isUnimodal (y);
	System.out.println ("isUnimodal=" + isUni);
    }


    static double[] function1 (double[] x)
    {
	// Monotonic increasing
	double[] y = new double [x.length];
	for (int i=0; i<x.length; i++) {
	    y[i] = 0.2 * x[i] + 5.0 - 1.0 / Math.sqrt(x[i]);
	}
	return y;
    }

    static double[] function2 (double[] x)
    {
	// Unimodal "up"
	double[] y = new double [x.length];
	for (int i=0; i<x.length; i++) {
	    y[i] = 8.0 - 0.3 * Math.pow (5.0 - x[i], 2);
	}
	return y;
    }

    static double[] function3 (double[] x)
    {
	// Neither monotonic nor unimodalUp
	double[] y = {2, 1, 2, 3, 4, 5};
	return y;
    }

    static double[] function4 (double[] x)
    {
	// Not monotonic but unimodalUp
	double[] y = {2, 3, 4, 5, 7, 6};
	return y;
    }



}