public class PoissonDistExperiment {
	public static void main (String args[]){
		final int nbOfRequests = 1000;
		final float average = 10;
		final int nbOfBins = 50;
		final double sizeOfBin = 1;
		final long seed = 10; // seed for random generator
		
		int[] histogram = new int[nbOfBins];
		for (int i=0;i<nbOfBins; i++){histogram[i] = 0;}
		
		double rate = 1 / average;
		TimePeriodExp random = new TimePeriodExp(rate, seed);
		
		for (int i=0;i<nbOfRequests; i++){
			double delay = random.delay();
			int index = (int)(delay / sizeOfBin);
			if (index < nbOfBins) {histogram[index] ++;}
		}
		
		for (int i=0;i<nbOfBins; i++){System.out.print(histogram[i]+" ");}
		System.out.println();
		for (int i=0;i<nbOfBins; i++){System.out.print( 
				(float) nbOfRequests / average * Math.exp(-(i+0.5)*rate /sizeOfBin)+" ");}
		
	}
}