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/*
* This file is part of choco-solver, http://choco-solver.org/
*
* Copyright (c) 2024, IMT Atlantique. All rights reserved.
*
* Licensed under the BSD 4-clause license.
*
* See LICENSE file in the project root for full license information.
*/
package org.chocosolver.util.tools;
import java.util.Arrays;
/**
*
*
*
*
* @author Charles Prud'homme
* @since 17 aug 2010
*/
public class StatisticUtils {
protected StatisticUtils() {
}
public static int sum(int... values) {
int sum = 0;
for (int i = 0; i < values.length; i++) {
sum += values[i];
}
return sum;
}
public static long sum(long... values) {
long sum = 0L;
for (int i = 0; i < values.length; i++) {
sum += values[i];
}
return sum;
}
public static float sum(float... values) {
float sum = 0.0f;
for (int i = 0; i < values.length; i++) {
sum += values[i];
}
return sum;
}
public static double sum(double... values) {
double sum = 0.0;
for (int i = 0; i < values.length; i++) {
sum += values[i];
}
return sum;
}
public static double mean(int... values) {
return sum(values)*1f / values.length;
}
public static float mean(long... values) {
return sum(values)*1f / values.length;
}
public static double mean(float... values) {
return sum(values) / values.length;
}
public static double mean(double... values) {
return sum(values) / values.length;
}
public static double standarddeviation(int... values) {
double mean = mean(values);
double[] psd = new double[values.length];
for (int i = 0; i < values.length; i++) {
psd[i] = Math.pow(values[i] - mean, 2.0);
}
return Math.sqrt(mean(psd));
}
public static double standarddeviation(long... values) {
double mean = mean(values);
double[] psd = new double[values.length];
for (int i = 0; i < values.length; i++) {
psd[i] = Math.pow(values[i] - mean, 2.0);
}
return Math.sqrt(mean(psd));
}
public static float standarddeviation(float... values) {
double mean = mean(values);
double[] psd = new double[values.length];
for (int i = 0; i < values.length; i++) {
psd[i] = Math.pow(values[i] - mean, 2.0);
}
return (float) Math.sqrt(mean(psd));
}
public static int[] prepare(int... values) {
Arrays.sort(values);
int[] back = new int[values.length - 2];
System.arraycopy(values, 1, back, 0, back.length);
return back;
}
public static long[] prepare(long... values) {
Arrays.sort(values);
long[] back = new long[values.length - 2];
System.arraycopy(values, 1, back, 0, back.length);
return back;
}
public static float[] prepare(float... values) {
Arrays.sort(values);
float[] back = new float[values.length - 2];
System.arraycopy(values, 1, back, 0, back.length);
return back;
}
public static long binomialCoefficients(int n, int k) {
long Ank = 1;
if (k < 0 || k > n) {
return 0;
}
long i = n - k + 1;
while (i <= n && Ank >= 0) {
Ank = Ank * i;
i = i + 1;
}
if (Ank < 0) return Integer.MAX_VALUE;
return Ank;
}
}