2009-08-30

ArraySorter :: in-place, pre-calc

The point of this class is to pre-calculate the sort-order in advance, so that we're not comparing objects all the time, and then do a proper/fast sort. In-place, meaning not creating an auxillary array, like Arrays.sort() does. This class is thread safe, as in... synchronized.

The 'chunked' version uses 'bucket sort' and then does a regular sort on the buckets, and merges the result back in the original array.

The Sortable interface is expected to calculate the sort-index in calcSortIndex() and return that value each and every time in getSortIndex()


public interface Sortable
{
   public void calcSortIndex();

   public int getSortIndex();
}

public class ArraySorter
{
   public static final synchronized void fineSort(Sortable[] p, int off, int len)
   {
      for (int i = 0; i < len; i++)
         p[off + i].calcSortIndex();

      ArraySorter.doFineSortImpl(p, off, len);
   }

   public static final synchronized void chunkedSort(Sortable[] p, int off, int len, int min, int max, int chunks)
   {
      for (int i = 0; i < len; i++)
         p[off + i].calcSortIndex();

      ArraySorter.doChunkedSortImpl(p, off, len, min, max, chunks);
   }

   /**
    * FINE
    */

   private static final void doFineSortImpl(Sortable[] p, int off, int len)
   {
      if (len < 7)
      {
         for (int i = off; i < len + off; i++)
            for (int j = i; j > off && p[j - 1].getSortIndex() > p[j].getSortIndex(); j--)
               swap(p, j, j - 1);

         return;
      }

      int m = off + (len >> 1);

      if (len > 7)
      {
         int l = off;
         int n = off + len - 1;

         if (len > 40)
         {
            int s = len >>> 3;
            l = med3(p, l, l + s, l + 2 * s);
            m = med3(p, m - s, m, m + s);
            n = med3(p, n - 2 * s, n - s, n);
         }

         m = med3(p, l, m, n);
      }

      int v = p[m].getSortIndex();

      int a = off;
      int b = a;
      int c = off + len - 1;
      int d = c;

      while (true)
      {
         while (b <= c && p[b].getSortIndex() <= v)
         {
            if (p[b].getSortIndex() == v)
               swap(p, a++, b);
            b++;
         }

         while (c >= b && p[c].getSortIndex() >= v)
         {
            if (p[c].getSortIndex() == v)
               swap(p, c, d--);
            c--;
         }

         if (b > c)
            break;

         swap(p, b++, c--);
      }

      int s, n = off + len;
      s = Math.min(a - off, b - a);
      swapRange(p, off, b - s, s);
      s = Math.min(d - c, n - d - 1);
      swapRange(p, b, n - s, s);

      if ((s = b - a) > 1)
         doFineSortImpl(p, off, s);

      if ((s = d - c) > 1)
         doFineSortImpl(p, n - s, s);
   }

   private static final void swap(Sortable[] p, int a, int b)
   {
      Sortable q = p[a];
      p[a] = p[b];
      p[b] = q;
   }

   private static final void swapRange(Sortable[] p, int a, int b, int n)
   {
      Sortable q;

      for (int i = 0; i < n; i++, a++, b++)
      {
         q = p[a];
         p[a] = p[b];
         p[b] = q;
      }
   }

   private static final int med3(Sortable[] p, int a, int b, int c)
   {
      int a0 = p[a].getSortIndex();
      int b0 = p[b].getSortIndex();
      int c0 = p[c].getSortIndex();
      return (a0 < b0 ? (b0 < c0 ? b : (a0 < c0 ? c : a)) : (b0 > c0 ? b : (a0 > c0 ? c : a)));
   }

   /**
    * CHUNKED
    */

   private static List<Sortable>   less  = new ArrayList<Sortable>();
   private static List<Sortable>[] parts = new List[0];
   private static List<Sortable>   more  = new ArrayList<Sortable>();
   private static Sortable[]       tmp   = new Sortable[64];

   private static final void doChunkedSortImpl(Sortable[] p, int off, int len, int min, int max, int chunks)
   {
      if (parts.length < chunks)
      {
         parts = new List[chunks];

         for (int i = 0; i < parts.length; i++)
            parts[i] = new ArrayList<Sortable>();
      }

      // sort-index is already calculated here

      // distribute sortables over lists
      for (int i = 0; i < len; i++)
      {
         Sortable s = p[off + i];
         int index = s.getSortIndex();

         if (index < min)
            less.add(s);
         else if (index >= max)
            more.add(s);
         else
         {
            float percent = (float) (s.getSortIndex() - min) / (max - min);
            int arrayIndex = (int) (percent * chunks);
            parts[arrayIndex].add(s);
         }
      }

      // sort lists, overwrite P
      tmp = less.toArray(tmp);
      ArraySorter.doFineSortImpl(tmp, 0, less.size());
      System.arraycopy(tmp, 0, p, off, less.size());
      off += less.size();

      for (int i = 0; i < chunks; i++)
      {
         if (parts[i].isEmpty())
            continue;

         tmp = parts[i].toArray(tmp);
         ArraySorter.doFineSortImpl(tmp, 0, parts[i].size());
         System.arraycopy(tmp, 0, p, off, parts[i].size());
         off += parts[i].size();
      }

      tmp = more.toArray(tmp);
      ArraySorter.doFineSortImpl(tmp, 0, more.size());
      System.arraycopy(tmp, 0, p, off, more.size());
      off += more.size();

      // clear up all references
      less.clear();
      for (int i = 0; i < chunks; i++)
         parts[i].clear();
      more.clear();
   }
}

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