src/main/java/org/apache/datasketches/kll/KllFloatsHelper.java [303:314]:
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
  private static void randomlyHalveUpFloats(final float[] buf, final int start, final int length,
      final Random random) {
    assert isEven(length);
    final int half_length = length / 2;
    final int offset = random.nextInt(2);       // disable for validation
    //final int offset = deterministicOffset(); // enable for validation
    int j = (start + length) - 1 - offset;
    for (int i = (start + length) - 1; i >= (start + half_length); i--) {
      buf[i] = buf[j];
      j -= 2;
    }
  }
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -



src/main/java/org/apache/datasketches/kll/KllDoublesHelper.java [303:314]:
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
  private static void randomlyHalveUpDoubles(final double[] buf, final int start, final int length,
      final Random random) {
    assert isEven(length);
    final int half_length = length / 2;
    final int offset = random.nextInt(2);       // disable for validation
    //final int offset = deterministicOffset(); // enable for validation
    int j = (start + length) - 1 - offset;
    for (int i = (start + length) - 1; i >= (start + half_length); i--) {
      buf[i] = buf[j];
      j -= 2;
    }
  }
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -



src/main/java/org/apache/datasketches/kll/KllItemsHelper.java [305:316]:
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
  private static void randomlyHalveUpItems(final Object[] buf, final int start, final int length,
      final Random random) {
    assert isEven(length);
    final int half_length = length / 2;
    final int offset = random.nextInt(2);       // disable for validation
    //final int offset = deterministicOffset(); // enable for validation
    int j = (start + length) - 1 - offset;
    for (int i = (start + length) - 1; i >= (start + half_length); i--) {
      buf[i] = buf[j];
      j -= 2;
    }
  }
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -



src/main/java/org/apache/datasketches/kll/KllLongsHelper.java [303:314]:
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
  private static void randomlyHalveUpLongs(final long[] buf, final int start, final int length,
      final Random random) {
    assert isEven(length);
    final int half_length = length / 2;
    final int offset = random.nextInt(2);       // disable for validation
    //final int offset = deterministicOffset(); // enable for validation
    int j = (start + length) - 1 - offset;
    for (int i = (start + length) - 1; i >= (start + half_length); i--) {
      buf[i] = buf[j];
      j -= 2;
    }
  }
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -