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package ch.epfl.maze.util;
import ch.epfl.maze.physical.Animal;
import ch.epfl.maze.simulation.Simulation;
import java.util.*;
/**
* Utility class that allows to compute statistics on a list of results.
*
* @author EPFL
*/
public final class Statistics {
/* constants for the length of the distribution axis */
public static final int X_LENGTH = 40;
public static final int Y_LENGTH = 13;
/**
* Returns the sum of all the numbers in results.
*
* @param results List of numbers
* @return The total of the list
*/
public static int total(List<Integer> results) {
int total = 0;
for (Integer result : results) {
if (result == Integer.MAX_VALUE) {
return Integer.MAX_VALUE;
}
total += result;
}
return total;
}
/**
* Returns the mean of the numbers in results.
* <p>
* mean(<b>X</b>) = total(<b>X</b>) / N
*
* @param results List of numbers
* @return The mean of the results
*/
public static int mean(List<Integer> results) {
int total = total(results);
if (total == Integer.MAX_VALUE) {
return Integer.MAX_VALUE;
}
return total / results.size();
}
/**
* Returns the variance of the numbers in results.
* <p>
* var(<b>X</b>) = (<b>X</b> - mean(<b>X</b>)) / N
*
* @param results List of numbers
* @return The variance of the results
*/
public static double var(List<Integer> results) {
double mean = mean(results);
if (mean == Integer.MAX_VALUE) {
return Integer.MAX_VALUE;
}
double var = 0;
for (Integer result : results) {
var += (result - mean) * (result - mean);
}
return var / results.size();
}
/**
* Returns the standard deviation of the numbers in results.
* <p>
* std(<b>X</b>) = sqrt(var(<b>X</b>))
*
* @param results List of numbers
* @return The variance of the results
*/
public static double std(List<Integer> results) {
return Math.sqrt(var(results));
}
/**
* Computes distribution for each animal in simulation
*
* @param simulation Simulation to make statistics on
* @param numberOfSimulations The number of simulations
*/
public static Map<String, List<Integer>> computeStatistics(
Simulation simulation, int numberOfSimulations) {
// maps animals' names with their overall results (which are linked-list)
Map<String, List<Integer>> results = new TreeMap<String, List<Integer>>();
for (Animal a : simulation.getWorld().getAnimals()) {
results.put(a.getClass().getSimpleName(), new LinkedList<Integer>());
}
// simulates world a lot of times
for (int i = 0; i < numberOfSimulations; i++) {
// simulates world until the end
simulation.restart();
while (!simulation.isOver()) {
simulation.move(null);
}
// retrieves arrival times and appends them to the results
Map<Integer, List<Animal>> arrivalTimes = simulation.getArrivalTimes();
for (Map.Entry<Integer, List<Animal>> entry : arrivalTimes.entrySet()) {
for (Animal a : entry.getValue()) {
String animalName = a.getClass().getSimpleName();
List<Integer> list = results.get(animalName);
list.add(entry.getKey());
}
}
}
return results;
}
/**
* Prints the distribution of all the results.
*
* @param results List of numbers
*/
public static void printDistribution(List<Integer> results) {
int min = results.get(0);
int max = results.get(results.size() - 1);
int length = (max - min) / X_LENGTH;
// counts number of steps inside a range
int lowerBound = Integer.MIN_VALUE;
int upperBound = min + length;
int index = 0;
List<Integer> boxPlot = new ArrayList<>();
for (int i = 0; i < X_LENGTH; i++) {
int counter = 0;
while (index < results.size()
&& (results.get(index) > lowerBound && results.get(index) <= upperBound)) {
counter++;
index++;
}
boxPlot.add(counter);
lowerBound = upperBound;
upperBound += length;
}
// draws plot on string
String[] printPlot = new String[Y_LENGTH];
for (int i = 0; i < Y_LENGTH; i++) {
printPlot[i] = "| ";
}
int maxCount = Collections.max(boxPlot);
for (Integer count : boxPlot) {
for (int i = 0; i < Y_LENGTH; i++) {
if (count > (i * maxCount) / Y_LENGTH) {
printPlot[i] += "#";
} else {
printPlot[i] += " ";
}
}
}
// prints plot
System.out.println("\n^");
for (int i = Y_LENGTH - 1; i > 0; i--) {
System.out.println(printPlot[i]);
}
System.out.print("--");
for (int i = 0; i < X_LENGTH; i++) {
System.out.print("-");
}
System.out.println(">");
}
}
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