Edit C:\Program Files\Java\jdk1.8.0_121\com\sun\javafx\collections\SortHelper.java

/*
 * Copyright (c) 2010, 2013, Oracle and/or its affiliates. All rights reserved.
 * ORACLE PROPRIETARY/CONFIDENTIAL. Use is subject to license terms.
 *
 *
 *
 *
 *
 *
 *
 *
 *
 *
 *
 *
 *
 *
 *
 *
 *
 *
 *
 *
 */

package com.sun.javafx.collections;

import java.lang.reflect.Array;
import java.util.Arrays;
import java.util.Comparator;
import java.util.List;
import java.util.ListIterator;

/**
 * Helper class that contains algorithms taken from JDK that additionally
 * tracks the permutation that's created thorough the process
 */
public class SortHelper {
    private int[] permutation;
    private int[] reversePermutation;

private static final int INSERTIONSORT_THRESHOLD = 7;

public <T extends Comparable<? super T>> int[] sort(List<T> list) {
        T[] a = (T[]) Array.newInstance(Comparable.class, list.size());
        try {
    a = list.toArray(a);
        } catch (ArrayStoreException e) {
            // this means this is not comparable (used without generics)
            throw new ClassCastException();
        }
    int[] result = sort(a);
    ListIterator<T> i = list.listIterator();
    for (int j=0; j<a.length; j++) {
        i.next();
        i.set((T)a[j]);
    }
        return result;
    }

public <T> int[] sort(List<T> list, Comparator<? super T> c) {
    Object[] a = list.toArray();
    int[] result = sort(a, (Comparator)c);
    ListIterator i = list.listIterator();
    for (int j=0; j<a.length; j++) {
        i.next();
        i.set(a[j]);
    }
        return result;
    }

public <T extends Comparable<? super T>> int[] sort(T[] a) {
        return sort(a, null);
    }

public <T> int[] sort(T[] a, Comparator<? super T> c) {
        T[] aux = (T[]) a.clone();
        int[] result = initPermutation(a.length);
        if (c==null)
            mergeSort(aux, a, 0, a.length, 0);
        else
            mergeSort(aux, a, 0, a.length, 0, c);
        reversePermutation = null;
        permutation = null;
        return result;
    }

public <T> int[] sort(T[] a, int fromIndex, int toIndex,
                Comparator<? super T> c) {
        rangeCheck(a.length, fromIndex, toIndex);
    T[] aux = (T[])copyOfRange(a, fromIndex, toIndex);
        int[] result = initPermutation(a.length);
        if (c==null)
            mergeSort(aux, a, fromIndex, toIndex, -fromIndex);
        else
            mergeSort(aux, a, fromIndex, toIndex, -fromIndex, c);
        reversePermutation = null;
        permutation = null;
        return Arrays.copyOfRange(result, fromIndex, toIndex);
    }

public int[] sort(int[] a, int fromIndex, int toIndex) {
        rangeCheck(a.length, fromIndex, toIndex);
    int[] aux = (int[])copyOfRange(a, fromIndex, toIndex);
        int[] result = initPermutation(a.length);
        mergeSort(aux, a, fromIndex, toIndex, -fromIndex);
        reversePermutation = null;
        permutation = null;
        return Arrays.copyOfRange(result, fromIndex, toIndex);
    }

private static void rangeCheck(int arrayLen, int fromIndex, int toIndex) {
        if (fromIndex > toIndex)
            throw new IllegalArgumentException("fromIndex(" + fromIndex +
                       ") > toIndex(" + toIndex+")");
        if (fromIndex < 0)
            throw new ArrayIndexOutOfBoundsException(fromIndex);
        if (toIndex > arrayLen)
            throw new ArrayIndexOutOfBoundsException(toIndex);
    }

private static int[] copyOfRange(int[] original, int from, int to) {
        int newLength = to - from;
        if (newLength < 0)
            throw new IllegalArgumentException(from + " > " + to);
        int[] copy = new int[newLength];
        System.arraycopy(original, from, copy, 0,
                         Math.min(original.length - from, newLength));
        return copy;
    }

private static <T> T[] copyOfRange(T[] original, int from, int to) {
        return copyOfRange(original, from, to, (Class<T[]>) original.getClass());
    }

private static <T,U> T[] copyOfRange(U[] original, int from, int to, Class<? extends T[]> newType) {
        int newLength = to - from;
        if (newLength < 0)
            throw new IllegalArgumentException(from + " > " + to);
        T[] copy = ((Object)newType == (Object)Object[].class)
            ? (T[]) new Object[newLength]
            : (T[]) Array.newInstance(newType.getComponentType(), newLength);
        System.arraycopy(original, from, copy, 0,
                         Math.min(original.length - from, newLength));
        return copy;
    }

/**
     * Merge sort from Oracle JDK 6
     */
    private void mergeSort(int[] src,
                  int[] dest,
                  int low,
                  int high,
                  int off) {
    int length = high - low;

// Insertion sort on smallest arrays
        if (length < INSERTIONSORT_THRESHOLD) {
            for (int i=low; i<high; i++)
                for (int j=i; j>low &&
             ((Comparable) dest[j-1]).compareTo(dest[j])>0; j--)
                    swap(dest, j, j-1);
            return;
        }

// Recursively sort halves of dest into src
        int destLow  = low;
        int destHigh = high;
        low  += off;
        high += off;
        int mid = (low + high) >>> 1;
        mergeSort(dest, src, low, mid, -off);
        mergeSort(dest, src, mid, high, -off);

// If list is already sorted, just copy from src to dest.  This is an
        // optimization that results in faster sorts for nearly ordered lists.
        if (((Comparable)src[mid-1]).compareTo(src[mid]) <= 0) {
            System.arraycopy(src, low, dest, destLow, length);
            return;
        }

// Merge sorted halves (now in src) into dest
        for(int i = destLow, p = low, q = mid; i < destHigh; i++) {
            if (q >= high || p < mid && ((Comparable)src[p]).compareTo(src[q])<=0) {
                dest[i] = src[p];
                permutation[reversePermutation[p++]] = i;
            } else {
                dest[i] = src[q];
                permutation[reversePermutation[q++]] = i;
            }
        }

for (int i = destLow; i < destHigh; ++i) {
            reversePermutation[permutation[i]] = i;
        }
    }

/**
     * Merge sort from Oracle JDK 6
     */
    private void mergeSort(Object[] src,
                  Object[] dest,
                  int low,
                  int high,
                  int off) {
    int length = high - low;

for (int i = destLow; i < destHigh; ++i) {
            reversePermutation[permutation[i]] = i;
        }
    }

private void mergeSort(Object[] src,
                  Object[] dest,
                  int low, int high, int off,
                  Comparator c) {
    int length = high - low;

// Insertion sort on smallest arrays
    if (length < INSERTIONSORT_THRESHOLD) {
        for (int i=low; i<high; i++)
        for (int j=i; j>low && c.compare(dest[j-1], dest[j])>0; j--)
            swap(dest, j, j-1);
        return;
    }

// Recursively sort halves of dest into src
        int destLow  = low;
        int destHigh = high;
        low  += off;
        high += off;
        int mid = (low + high) >>> 1;
        mergeSort(dest, src, low, mid, -off, c);
        mergeSort(dest, src, mid, high, -off, c);

// If list is already sorted, just copy from src to dest.  This is an
        // optimization that results in faster sorts for nearly ordered lists.
        if (c.compare(src[mid-1], src[mid]) <= 0) {
           System.arraycopy(src, low, dest, destLow, length);
           return;
        }

// Merge sorted halves (now in src) into dest
        for(int i = destLow, p = low, q = mid; i < destHigh; i++) {
            if (q >= high || p < mid && c.compare(src[p], src[q]) <= 0) {
                dest[i] = src[p];
                permutation[reversePermutation[p++]] = i;
            } else {
                dest[i] = src[q];
                permutation[reversePermutation[q++]] = i;
            }
        }

for (int i = destLow; i < destHigh; ++i) {
            reversePermutation[permutation[i]] = i;
        }
    }

private void swap(int[] x, int a, int b) {
    int t = x[a];
    x[a] = x[b];
    x[b] = t;
        permutation[reversePermutation[a]] = b;
        permutation[reversePermutation[b]] = a;
        int tp = reversePermutation[a];
        reversePermutation[a] = reversePermutation[b];
        reversePermutation[b] = tp;
    }

private void swap(Object[] x, int a, int b) {
    Object t = x[a];
    x[a] = x[b];
    x[b] = t;
        permutation[reversePermutation[a]] = b;
        permutation[reversePermutation[b]] = a;
        int tp = reversePermutation[a];
        reversePermutation[a] = reversePermutation[b];
        reversePermutation[b] = tp;
    }

private int[] initPermutation(int length) {
        permutation = new int[length];
        reversePermutation = new int[length];
        for (int i = 0; i < length; ++i) {
            permutation[i] = reversePermutation[i] = i;
        }
        return permutation;
    }
}

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