layeriidecoder.java

java编写的mp3播放器

/*
 * 29/05/01  Michael Scheerer,  Fixed some C++ to Java porting bugs. 
 *
 * 16/07/01  Michael Scheerer, Catched a bug in method
 *           read_sampledata, which causes an outOfIndexException.
 * 
 * 12/12/99  Initial version. Adapted from javalayer.java
 *			 and Subband*.java. [e-mail]
 *
 * 02/28/99  Initial version : javalayer.java by E.B
 * -----------------------------------------------------------------------
 *  This program is free software; you can redistribute it and/or modify
 *  it under the terms of the GNU General Public License as published by
 *  the Free Software Foundation; either version 2 of the License, or
 *  (at your option) any later version.
 *
 *  This program is distributed in the hope that it will be useful,
 *  but WITHOUT ANY WARRANTY; without even the implied warranty of
 *  MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
 *  GNU General Public License for more details.
 *
 *  You should have received a copy of the GNU General Public License
 *  along with this program; if not, write to the Free Software
 *  Foundation, Inc., 675 Mass Ave, Cambridge, MA 02139, USA.
 *----------------------------------------------------------------------
 */

package javazoom.jl.decoder;

/**
 * Implements decoding of MPEG Audio Layer II frames. 
 */
class LayerIIDecoder extends LayerIDecoder implements FrameDecoder
{

	public LayerIIDecoder()
	{
	}

	
	protected void createSubbands()
	{		
  		int i;
		if (mode == Header.SINGLE_CHANNEL)
  		  for (i = 0; i < num_subbands; ++i)
  		    subbands[i] = new SubbandLayer2(i);
  		else if (mode == Header.JOINT_STEREO)
  		{
  		  for (i = 0; i < header.intensity_stereo_bound(); ++i)
  		      subbands[i] = new SubbandLayer2Stereo(i);
  		  for (; i < num_subbands; ++i)
  		      subbands[i] = new SubbandLayer2IntensityStereo(i);
  		}
		else
		{
  		  for (i = 0; i < num_subbands; ++i)
  		      subbands[i] = new SubbandLayer2Stereo(i);
        }
		
	}
	
	protected void readScaleFactorSelection()
	{
  		for (int i = 0; i < num_subbands; ++i)
  		  ((SubbandLayer2)subbands[i]).read_scalefactor_selection(stream, crc);		
	}
	
	

	 /**
	  * Class for layer II subbands in single channel mode.
	  */
	static class SubbandLayer2 extends Subband
	{
	  // this table contains 3 requantized samples for each legal codeword
	  // when grouped in 5 bits, i.e. 3 quantizationsteps per sample
	public static final float grouping_5bits[] = new float[]
	{
	  -2.0f/3.0f, -2.0f/3.0f, -2.0f/3.0f,
			 0.0f, -2.0f/3.0f, -2.0f/3.0f,
		2.0f/3.0f, -2.0f/3.0f, -2.0f/3.0f,
	  -2.0f/3.0f,      0.0f, -2.0f/3.0f,
			 0.0f,      0.0f, -2.0f/3.0f,
		2.0f/3.0f,      0.0f, -2.0f/3.0f,
	  -2.0f/3.0f,  2.0f/3.0f, -2.0f/3.0f,
			 0.0f,  2.0f/3.0f, -2.0f/3.0f,
		2.0f/3.0f,  2.0f/3.0f, -2.0f/3.0f,
	  -2.0f/3.0f, -2.0f/3.0f,      0.0f,
			 0.0f, -2.0f/3.0f,      0.0f,
		2.0f/3.0f, -2.0f/3.0f,      0.0f,
	  -2.0f/3.0f,      0.0f,      0.0f,
			 0.0f,      0.0f,      0.0f,
		2.0f/3.0f,      0.0f,      0.0f,
	  -2.0f/3.0f,  2.0f/3.0f,      0.0f,
			 0.0f,  2.0f/3.0f,      0.0f,
		2.0f/3.0f,  2.0f/3.0f,      0.0f,
	  -2.0f/3.0f, -2.0f/3.0f,  2.0f/3.0f,
	       0.0f, -2.0f/3.0f,  2.0f/3.0f,
		2.0f/3.0f, -2.0f/3.0f,  2.0f/3.0f,
	  -2.0f/3.0f,      0.0f,  2.0f/3.0f,
	       0.0f,      0.0f,  2.0f/3.0f,
	   2.0f/3.0f,      0.0f,  2.0f/3.0f,
	  -2.0f/3.0f,  2.0f/3.0f,  2.0f/3.0f,
			 0.0f,  2.0f/3.0f,  2.0f/3.0f,
	   2.0f/3.0f,  2.0f/3.0f,  2.0f/3.0f
	};

	// this table contains 3 requantized samples for each legal codeword
	// when grouped in 7 bits, i.e. 5 quantizationsteps per sample
	public static final float grouping_7bits[] = new float[]
	{
	  -0.8f, -0.8f, -0.8f,   -0.4f, -0.8f, -0.8f,    0.0f, -0.8f, -0.8f,    0.4f, -0.8f, -0.8f,    0.8f, -0.8f, -0.8f,
	  -0.8f, -0.4f, -0.8f,   -0.4f, -0.4f, -0.8f,    0.0f, -0.4f, -0.8f,    0.4f, -0.4f, -0.8f,    0.8f, -0.4f, -0.8f,
	  -0.8f,  0.0f, -0.8f,   -0.4f,  0.0f, -0.8f,    0.0f,  0.0f, -0.8f,    0.4f,  0.0f, -0.8f,    0.8f,  0.0f, -0.8f,
	  -0.8f,  0.4f, -0.8f,   -0.4f,  0.4f, -0.8f,    0.0f,  0.4f, -0.8f,    0.4f,  0.4f, -0.8f,    0.8f,  0.4f, -0.8f,
	  -0.8f,  0.8f, -0.8f,   -0.4f,  0.8f, -0.8f,    0.0f,  0.8f, -0.8f,    0.4f,  0.8f, -0.8f,    0.8f,  0.8f, -0.8f,
	  -0.8f, -0.8f, -0.4f,   -0.4f, -0.8f, -0.4f,    0.0f, -0.8f, -0.4f,    0.4f, -0.8f, -0.4f,    0.8f, -0.8f, -0.4f,
	  -0.8f, -0.4f, -0.4f,   -0.4f, -0.4f, -0.4f,    0.0f, -0.4f, -0.4f,    0.4f, -0.4f, -0.4f,    0.8f, -0.4f, -0.4f,
	  -0.8f,  0.0f, -0.4f,   -0.4f,  0.0f, -0.4f,    0.0f,  0.0f, -0.4f,    0.4f,  0.0f, -0.4f,    0.8f,  0.0f, -0.4f,
	  -0.8f,  0.4f, -0.4f,   -0.4f,  0.4f, -0.4f,    0.0f,  0.4f, -0.4f,    0.4f,  0.4f, -0.4f,    0.8f,  0.4f, -0.4f,
	  -0.8f,  0.8f, -0.4f,   -0.4f,  0.8f, -0.4f,    0.0f,  0.8f, -0.4f,    0.4f,  0.8f, -0.4f,    0.8f,  0.8f, -0.4f,
	  -0.8f, -0.8f,  0.0f,   -0.4f, -0.8f,  0.0f,    0.0f, -0.8f,  0.0f,    0.4f, -0.8f,  0.0f,    0.8f, -0.8f,  0.0f,
	  -0.8f, -0.4f,  0.0f,   -0.4f, -0.4f,  0.0f,    0.0f, -0.4f,  0.0f,    0.4f, -0.4f,  0.0f,    0.8f, -0.4f,  0.0f,
	  -0.8f,  0.0f,  0.0f,   -0.4f,  0.0f,  0.0f,    0.0f,  0.0f,  0.0f,    0.4f,  0.0f,  0.0f,    0.8f,  0.0f,  0.0f,
	  -0.8f,  0.4f,  0.0f,   -0.4f,  0.4f,  0.0f,    0.0f,  0.4f,  0.0f,    0.4f,  0.4f,  0.0f,    0.8f,  0.4f,  0.0f,
	  -0.8f,  0.8f,  0.0f,   -0.4f,  0.8f,  0.0f,    0.0f,  0.8f,  0.0f,    0.4f,  0.8f,  0.0f,    0.8f,  0.8f,  0.0f,
	  -0.8f, -0.8f,  0.4f,   -0.4f, -0.8f,  0.4f,    0.0f, -0.8f,  0.4f,    0.4f, -0.8f,  0.4f,    0.8f, -0.8f,  0.4f,
	  -0.8f, -0.4f,  0.4f,   -0.4f, -0.4f,  0.4f,    0.0f, -0.4f,  0.4f,    0.4f, -0.4f,  0.4f,    0.8f, -0.4f,  0.4f,
	  -0.8f,  0.0f,  0.4f,   -0.4f,  0.0f,  0.4f,    0.0f,  0.0f,  0.4f,    0.4f,  0.0f,  0.4f,    0.8f,  0.0f,  0.4f,
	  -0.8f,  0.4f,  0.4f,   -0.4f,  0.4f,  0.4f,    0.0f,  0.4f,  0.4f,    0.4f,  0.4f,  0.4f,    0.8f,  0.4f,  0.4f,
	  -0.8f,  0.8f,  0.4f,   -0.4f,  0.8f,  0.4f,    0.0f,  0.8f,  0.4f,    0.4f,  0.8f,  0.4f,    0.8f,  0.8f,  0.4f,
	  -0.8f, -0.8f,  0.8f,   -0.4f, -0.8f,  0.8f,    0.0f, -0.8f,  0.8f,    0.4f, -0.8f,  0.8f,    0.8f, -0.8f,  0.8f,
	  -0.8f, -0.4f,  0.8f,   -0.4f, -0.4f,  0.8f,    0.0f, -0.4f,  0.8f,    0.4f, -0.4f,  0.8f,    0.8f, -0.4f,  0.8f,
	  -0.8f,  0.0f,  0.8f,   -0.4f,  0.0f,  0.8f,    0.0f,  0.0f,  0.8f,    0.4f,  0.0f,  0.8f,    0.8f,  0.0f,  0.8f,
	  -0.8f,  0.4f,  0.8f,   -0.4f,  0.4f,  0.8f,    0.0f,  0.4f,  0.8f,    0.4f,  0.4f,  0.8f,    0.8f,  0.4f,  0.8f,
	  -0.8f,  0.8f,  0.8f,   -0.4f,  0.8f,  0.8f,    0.0f,  0.8f,  0.8f,    0.4f,  0.8f,  0.8f,    0.8f,  0.8f,  0.8f
	};

	// this table contains 3 requantized samples for each legal codeword
	// when grouped in 10 bits, i.e. 9 quantizationsteps per sample
	public static final float grouping_10bits[] =
	{
	  -8.0f/9.0f, -8.0f/9.0f, -8.0f/9.0f,   -6.0f/9.0f, -8.0f/9.0f, -8.0f/9.0f,   -4.0f/9.0f, -8.0f/9.0f, -8.0f/9.0f,
	  -2.0f/9.0f, -8.0f/9.0f, -8.0f/9.0f,        0.0f, -8.0f/9.0f, -8.0f/9.0f,    2.0f/9.0f, -8.0f/9.0f, -8.0f/9.0f,
		4.0f/9.0f, -8.0f/9.0f, -8.0f/9.0f,    6.0f/9.0f, -8.0f/9.0f, -8.0f/9.0f,    8.0f/9.0f, -8.0f/9.0f, -8.0f/9.0f,
	  -8.0f/9.0f, -6.0f/9.0f, -8.0f/9.0f,   -6.0f/9.0f, -6.0f/9.0f, -8.0f/9.0f,   -4.0f/9.0f, -6.0f/9.0f, -8.0f/9.0f,
	  -2.0f/9.0f, -6.0f/9.0f, -8.0f/9.0f,        0.0f, -6.0f/9.0f, -8.0f/9.0f,    2.0f/9.0f, -6.0f/9.0f, -8.0f/9.0f,
		4.0f/9.0f, -6.0f/9.0f, -8.0f/9.0f,    6.0f/9.0f, -6.0f/9.0f, -8.0f/9.0f,    8.0f/9.0f, -6.0f/9.0f, -8.0f/9.0f,
	  -8.0f/9.0f, -4.0f/9.0f, -8.0f/9.0f,   -6.0f/9.0f, -4.0f/9.0f, -8.0f/9.0f,   -4.0f/9.0f, -4.0f/9.0f, -8.0f/9.0f,
	  -2.0f/9.0f, -4.0f/9.0f, -8.0f/9.0f,        0.0f, -4.0f/9.0f, -8.0f/9.0f,    2.0f/9.0f, -4.0f/9.0f, -8.0f/9.0f,
		4.0f/9.0f, -4.0f/9.0f, -8.0f/9.0f,    6.0f/9.0f, -4.0f/9.0f, -8.0f/9.0f,    8.0f/9.0f, -4.0f/9.0f, -8.0f/9.0f,
	  -8.0f/9.0f, -2.0f/9.0f, -8.0f/9.0f,   -6.0f/9.0f, -2.0f/9.0f, -8.0f/9.0f,   -4.0f/9.0f, -2.0f/9.0f, -8.0f/9.0f,
	  -2.0f/9.0f, -2.0f/9.0f, -8.0f/9.0f,        0.0f, -2.0f/9.0f, -8.0f/9.0f,    2.0f/9.0f, -2.0f/9.0f, -8.0f/9.0f,
		4.0f/9.0f, -2.0f/9.0f, -8.0f/9.0f,    6.0f/9.0f, -2.0f/9.0f, -8.0f/9.0f,    8.0f/9.0f, -2.0f/9.0f, -8.0f/9.0f,
	  -8.0f/9.0f,      0.0f, -8.0f/9.0f,   -6.0f/9.0f,      0.0f, -8.0f/9.0f,   -4.0f/9.0f,      0.0f, -8.0f/9.0f,
	  -2.0f/9.0f,      0.0f, -8.0f/9.0f,        0.0f,      0.0f, -8.0f/9.0f,    2.0f/9.0f,      0.0f, -8.0f/9.0f,
		4.0f/9.0f,      0.0f, -8.0f/9.0f,    6.0f/9.0f,      0.0f, -8.0f/9.0f,    8.0f/9.0f,      0.0f, -8.0f/9.0f,
	  -8.0f/9.0f,  2.0f/9.0f, -8.0f/9.0f,   -6.0f/9.0f,  2.0f/9.0f, -8.0f/9.0f,   -4.0f/9.0f,  2.0f/9.0f, -8.0f/9.0f,
	  -2.0f/9.0f,  2.0f/9.0f, -8.0f/9.0f,        0.0f,  2.0f/9.0f, -8.0f/9.0f,    2.0f/9.0f,  2.0f/9.0f, -8.0f/9.0f,
		4.0f/9.0f,  2.0f/9.0f, -8.0f/9.0f,    6.0f/9.0f,  2.0f/9.0f, -8.0f/9.0f,    8.0f/9.0f,  2.0f/9.0f, -8.0f/9.0f,
	  -8.0f/9.0f,  4.0f/9.0f, -8.0f/9.0f,   -6.0f/9.0f,  4.0f/9.0f, -8.0f/9.0f,   -4.0f/9.0f,  4.0f/9.0f, -8.0f/9.0f,
	  -2.0f/9.0f,  4.0f/9.0f, -8.0f/9.0f,        0.0f,  4.0f/9.0f, -8.0f/9.0f,    2.0f/9.0f,  4.0f/9.0f, -8.0f/9.0f,
		4.0f/9.0f,  4.0f/9.0f, -8.0f/9.0f,    6.0f/9.0f,  4.0f/9.0f, -8.0f/9.0f,    8.0f/9.0f,  4.0f/9.0f, -8.0f/9.0f,
	  -8.0f/9.0f,  6.0f/9.0f, -8.0f/9.0f,   -6.0f/9.0f,  6.0f/9.0f, -8.0f/9.0f,   -4.0f/9.0f,  6.0f/9.0f, -8.0f/9.0f,
	  -2.0f/9.0f,  6.0f/9.0f, -8.0f/9.0f,        0.0f,  6.0f/9.0f, -8.0f/9.0f,    2.0f/9.0f,  6.0f/9.0f, -8.0f/9.0f,
		4.0f/9.0f,  6.0f/9.0f, -8.0f/9.0f,    6.0f/9.0f,  6.0f/9.0f, -8.0f/9.0f,    8.0f/9.0f,  6.0f/9.0f, -8.0f/9.0f,
	  -8.0f/9.0f,  8.0f/9.0f, -8.0f/9.0f,   -6.0f/9.0f,  8.0f/9.0f, -8.0f/9.0f,   -4.0f/9.0f,  8.0f/9.0f, -8.0f/9.0f,
	  -2.0f/9.0f,  8.0f/9.0f, -8.0f/9.0f,        0.0f,  8.0f/9.0f, -8.0f/9.0f,    2.0f/9.0f,  8.0f/9.0f, -8.0f/9.0f,
		4.0f/9.0f,  8.0f/9.0f, -8.0f/9.0f,    6.0f/9.0f,  8.0f/9.0f, -8.0f/9.0f,    8.0f/9.0f,  8.0f/9.0f, -8.0f/9.0f,
	  -8.0f/9.0f, -8.0f/9.0f, -6.0f/9.0f,   -6.0f/9.0f, -8.0f/9.0f, -6.0f/9.0f,   -4.0f/9.0f, -8.0f/9.0f, -6.0f/9.0f,
	  -2.0f/9.0f, -8.0f/9.0f, -6.0f/9.0f,        0.0f, -8.0f/9.0f, -6.0f/9.0f,    2.0f/9.0f, -8.0f/9.0f, -6.0f/9.0f,
		4.0f/9.0f, -8.0f/9.0f, -6.0f/9.0f,    6.0f/9.0f, -8.0f/9.0f, -6.0f/9.0f,    8.0f/9.0f, -8.0f/9.0f, -6.0f/9.0f,
	  -8.0f/9.0f, -6.0f/9.0f, -6.0f/9.0f,   -6.0f/9.0f, -6.0f/9.0f, -6.0f/9.0f,   -4.0f/9.0f, -6.0f/9.0f, -6.0f/9.0f,
	  -2.0f/9.0f, -6.0f/9.0f, -6.0f/9.0f,        0.0f, -6.0f/9.0f, -6.0f/9.0f,    2.0f/9.0f, -6.0f/9.0f, -6.0f/9.0f,
		4.0f/9.0f, -6.0f/9.0f, -6.0f/9.0f,    6.0f/9.0f, -6.0f/9.0f, -6.0f/9.0f,    8.0f/9.0f, -6.0f/9.0f, -6.0f/9.0f,
	  -8.0f/9.0f, -4.0f/9.0f, -6.0f/9.0f,   -6.0f/9.0f, -4.0f/9.0f, -6.0f/9.0f,   -4.0f/9.0f, -4.0f/9.0f, -6.0f/9.0f,
	  -2.0f/9.0f, -4.0f/9.0f, -6.0f/9.0f,        0.0f, -4.0f/9.0f, -6.0f/9.0f,    2.0f/9.0f, -4.0f/9.0f, -6.0f/9.0f,
		4.0f/9.0f, -4.0f/9.0f, -6.0f/9.0f,    6.0f/9.0f, -4.0f/9.0f, -6.0f/9.0f,    8.0f/9.0f, -4.0f/9.0f, -6.0f/9.0f,
	  -8.0f/9.0f, -2.0f/9.0f, -6.0f/9.0f,   -6.0f/9.0f, -2.0f/9.0f, -6.0f/9.0f,   -4.0f/9.0f, -2.0f/9.0f, -6.0f/9.0f,
	  -2.0f/9.0f, -2.0f/9.0f, -6.0f/9.0f,        0.0f, -2.0f/9.0f, -6.0f/9.0f,    2.0f/9.0f, -2.0f/9.0f, -6.0f/9.0f,
		4.0f/9.0f, -2.0f/9.0f, -6.0f/9.0f,    6.0f/9.0f, -2.0f/9.0f, -6.0f/9.0f,    8.0f/9.0f, -2.0f/9.0f, -6.0f/9.0f,
	  -8.0f/9.0f,      0.0f, -6.0f/9.0f,   -6.0f/9.0f,      0.0f, -6.0f/9.0f,   -4.0f/9.0f,      0.0f, -6.0f/9.0f,
	  -2.0f/9.0f,      0.0f, -6.0f/9.0f,        0.0f,      0.0f, -6.0f/9.0f,    2.0f/9.0f,      0.0f, -6.0f/9.0f,
		4.0f/9.0f,      0.0f, -6.0f/9.0f,    6.0f/9.0f,      0.0f, -6.0f/9.0f,    8.0f/9.0f,      0.0f, -6.0f/9.0f,
	  -8.0f/9.0f,  2.0f/9.0f, -6.0f/9.0f,   -6.0f/9.0f,  2.0f/9.0f, -6.0f/9.0f,   -4.0f/9.0f,  2.0f/9.0f, -6.0f/9.0f,
	  -2.0f/9.0f,  2.0f/9.0f, -6.0f/9.0f,        0.0f,  2.0f/9.0f, -6.0f/9.0f,    2.0f/9.0f,  2.0f/9.0f, -6.0f/9.0f,
		4.0f/9.0f,  2.0f/9.0f, -6.0f/9.0f,    6.0f/9.0f,  2.0f/9.0f, -6.0f/9.0f,    8.0f/9.0f,  2.0f/9.0f, -6.0f/9.0f,
	  -8.0f/9.0f,  4.0f/9.0f, -6.0f/9.0f,   -6.0f/9.0f,  4.0f/9.0f, -6.0f/9.0f,   -4.0f/9.0f,  4.0f/9.0f, -6.0f/9.0f,
	  -2.0f/9.0f,  4.0f/9.0f, -6.0f/9.0f,        0.0f,  4.0f/9.0f, -6.0f/9.0f,    2.0f/9.0f,  4.0f/9.0f, -6.0f/9.0f,
		4.0f/9.0f,  4.0f/9.0f, -6.0f/9.0f,    6.0f/9.0f,  4.0f/9.0f, -6.0f/9.0f,    8.0f/9.0f,  4.0f/9.0f, -6.0f/9.0f,
	  -8.0f/9.0f,  6.0f/9.0f, -6.0f/9.0f,   -6.0f/9.0f,  6.0f/9.0f, -6.0f/9.0f,   -4.0f/9.0f,  6.0f/9.0f, -6.0f/9.0f,
	  -2.0f/9.0f,  6.0f/9.0f, -6.0f/9.0f,        0.0f,  6.0f/9.0f, -6.0f/9.0f,    2.0f/9.0f,  6.0f/9.0f, -6.0f/9.0f,
		4.0f/9.0f,  6.0f/9.0f, -6.0f/9.0f,    6.0f/9.0f,  6.0f/9.0f, -6.0f/9.0f,    8.0f/9.0f,  6.0f/9.0f, -6.0f/9.0f,
	  -8.0f/9.0f,  8.0f/9.0f, -6.0f/9.0f,   -6.0f/9.0f,  8.0f/9.0f, -6.0f/9.0f,   -4.0f/9.0f,  8.0f/9.0f, -6.0f/9.0f,
	  -2.0f/9.0f,  8.0f/9.0f, -6.0f/9.0f,        0.0f,  8.0f/9.0f, -6.0f/9.0f,    2.0f/9.0f,  8.0f/9.0f, -6.0f/9.0f,
		4.0f/9.0f,  8.0f/9.0f, -6.0f/9.0f,    6.0f/9.0f,  8.0f/9.0f, -6.0f/9.0f,    8.0f/9.0f,  8.0f/9.0f, -6.0f/9.0f,
	  -8.0f/9.0f, -8.0f/9.0f, -4.0f/9.0f,   -6.0f/9.0f, -8.0f/9.0f, -4.0f/9.0f,   -4.0f/9.0f, -8.0f/9.0f, -4.0f/9.0f,
	  -2.0f/9.0f, -8.0f/9.0f, -4.0f/9.0f,        0.0f, -8.0f/9.0f, -4.0f/9.0f,    2.0f/9.0f, -8.0f/9.0f, -4.0f/9.0f,
		4.0f/9.0f, -8.0f/9.0f, -4.0f/9.0f,    6.0f/9.0f, -8.0f/9.0f, -4.0f/9.0f,    8.0f/9.0f, -8.0f/9.0f, -4.0f/9.0f,
	  -8.0f/9.0f, -6.0f/9.0f, -4.0f/9.0f,   -6.0f/9.0f, -6.0f/9.0f, -4.0f/9.0f,   -4.0f/9.0f, -6.0f/9.0f, -4.0f/9.0f,
	  -2.0f/9.0f, -6.0f/9.0f, -4.0f/9.0f,        0.0f, -6.0f/9.0f, -4.0f/9.0f,    2.0f/9.0f, -6.0f/9.0f, -4.0f/9.0f,
		4.0f/9.0f, -6.0f/9.0f, -4.0f/9.0f,    6.0f/9.0f, -6.0f/9.0f, -4.0f/9.0f,    8.0f/9.0f, -6.0f/9.0f, -4.0f/9.0f,
	  -8.0f/9.0f, -4.0f/9.0f, -4.0f/9.0f,   -6.0f/9.0f, -4.0f/9.0f, -4.0f/9.0f,   -4.0f/9.0f, -4.0f/9.0f, -4.0f/9.0f,
	  -2.0f/9.0f, -4.0f/9.0f, -4.0f/9.0f,        0.0f, -4.0f/9.0f, -4.0f/9.0f,    2.0f/9.0f, -4.0f/9.0f, -4.0f/9.0f,
		4.0f/9.0f, -4.0f/9.0f, -4.0f/9.0f,    6.0f/9.0f, -4.0f/9.0f, -4.0f/9.0f,    8.0f/9.0f, -4.0f/9.0f, -4.0f/9.0f,
	  -8.0f/9.0f, -2.0f/9.0f, -4.0f/9.0f,   -6.0f/9.0f, -2.0f/9.0f, -4.0f/9.0f,   -4.0f/9.0f, -2.0f/9.0f, -4.0f/9.0f,
	  -2.0f/9.0f, -2.0f/9.0f, -4.0f/9.0f,        0.0f, -2.0f/9.0f, -4.0f/9.0f,    2.0f/9.0f, -2.0f/9.0f, -4.0f/9.0f,
		4.0f/9.0f, -2.0f/9.0f, -4.0f/9.0f,    6.0f/9.0f, -2.0f/9.0f, -4.0f/9.0f,    8.0f/9.0f, -2.0f/9.0f, -4.0f/9.0f,
	  -8.0f/9.0f,      0.0f, -4.0f/9.0f,   -6.0f/9.0f,      0.0f, -4.0f/9.0f,   -4.0f/9.0f,      0.0f, -4.0f/9.0f,
	  -2.0f/9.0f,      0.0f, -4.0f/9.0f,        0.0f,      0.0f, -4.0f/9.0f,    2.0f/9.0f,      0.0f, -4.0f/9.0f,
		4.0f/9.0f,      0.0f, -4.0f/9.0f,    6.0f/9.0f,      0.0f, -4.0f/9.0f,    8.0f/9.0f,      0.0f, -4.0f/9.0f,
	  -8.0f/9.0f,  2.0f/9.0f, -4.0f/9.0f,   -6.0f/9.0f,  2.0f/9.0f, -4.0f/9.0f,   -4.0f/9.0f,  2.0f/9.0f, -4.0f/9.0f,
	  -2.0f/9.0f,  2.0f/9.0f, -4.0f/9.0f,        0.0f,  2.0f/9.0f, -4.0f/9.0f,    2.0f/9.0f,  2.0f/9.0f, -4.0f/9.0f,
		4.0f/9.0f,  2.0f/9.0f, -4.0f/9.0f,    6.0f/9.0f,  2.0f/9.0f, -4.0f/9.0f,    8.0f/9.0f,  2.0f/9.0f, -4.0f/9.0f,
	  -8.0f/9.0f,  4.0f/9.0f, -4.0f/9.0f,   -6.0f/9.0f,  4.0f/9.0f, -4.0f/9.0f,   -4.0f/9.0f,  4.0f/9.0f, -4.0f/9.0f,
	  -2.0f/9.0f,  4.0f/9.0f, -4.0f/9.0f,        0.0f,  4.0f/9.0f, -4.0f/9.0f,    2.0f/9.0f,  4.0f/9.0f, -4.0f/9.0f,
		4.0f/9.0f,  4.0f/9.0f, -4.0f/9.0f,    6.0f/9.0f,  4.0f/9.0f, -4.0f/9.0f,    8.0f/9.0f,  4.0f/9.0f, -4.0f/9.0f,
	  -8.0f/9.0f,  6.0f/9.0f, -4.0f/9.0f,   -6.0f/9.0f,  6.0f/9.0f, -4.0f/9.0f,   -4.0f/9.0f,  6.0f/9.0f, -4.0f/9.0f,
	  -2.0f/9.0f,  6.0f/9.0f, -4.0f/9.0f,        0.0f,  6.0f/9.0f, -4.0f/9.0f,    2.0f/9.0f,  6.0f/9.0f, -4.0f/9.0f,
		4.0f/9.0f,  6.0f/9.0f, -4.0f/9.0f,    6.0f/9.0f,  6.0f/9.0f, -4.0f/9.0f,    8.0f/9.0f,  6.0f/9.0f, -4.0f/9.0f,
	  -8.0f/9.0f,  8.0f/9.0f, -4.0f/9.0f,   -6.0f/9.0f,  8.0f/9.0f, -4.0f/9.0f,   -4.0f/9.0f,  8.0f/9.0f, -4.0f/9.0f,
	  -2.0f/9.0f,  8.0f/9.0f, -4.0f/9.0f,        0.0f,  8.0f/9.0f, -4.0f/9.0f,    2.0f/9.0f,  8.0f/9.0f, -4.0f/9.0f,
		4.0f/9.0f,  8.0f/9.0f, -4.0f/9.0f,    6.0f/9.0f,  8.0f/9.0f, -4.0f/9.0f,    8.0f/9.0f,  8.0f/9.0f, -4.0f/9.0f,
	  -8.0f/9.0f, -8.0f/9.0f, -2.0f/9.0f,   -6.0f/9.0f, -8.0f/9.0f, -2.0f/9.0f,   -4.0f/9.0f, -8.0f/9.0f, -2.0f/9.0f,
	  -2.0f/9.0f, -8.0f/9.0f, -2.0f/9.0f,        0.0f, -8.0f/9.0f, -2.0f/9.0f,    2.0f/9.0f, -8.0f/9.0f, -2.0f/9.0f,
		4.0f/9.0f, -8.0f/9.0f, -2.0f/9.0f,    6.0f/9.0f, -8.0f/9.0f, -2.0f/9.0f,    8.0f/9.0f, -8.0f/9.0f, -2.0f/9.0f,
	  -8.0f/9.0f, -6.0f/9.0f, -2.0f/9.0f,   -6.0f/9.0f, -6.0f/9.0f, -2.0f/9.0f,   -4.0f/9.0f, -6.0f/9.0f, -2.0f/9.0f,
	  -2.0f/9.0f, -6.0f/9.0f, -2.0f/9.0f,        0.0f, -6.0f/9.0f, -2.0f/9.0f,    2.0f/9.0f, -6.0f/9.0f, -2.0f/9.0f,
		4.0f/9.0f, -6.0f/9.0f, -2.0f/9.0f,    6.0f/9.0f, -6.0f/9.0f, -2.0f/9.0f,    8.0f/9.0f, -6.0f/9.0f, -2.0f/9.0f,
	  -8.0f/9.0f, -4.0f/9.0f, -2.0f/9.0f,   -6.0f/9.0f, -4.0f/9.0f, -2.0f/9.0f,   -4.0f/9.0f, -4.0f/9.0f, -2.0f/9.0f,
	  -2.0f/9.0f, -4.0f/9.0f, -2.0f/9.0f,        0.0f, -4.0f/9.0f, -2.0f/9.0f,    2.0f/9.0f, -4.0f/9.0f, -2.0f/9.0f,
		4.0f/9.0f, -4.0f/9.0f, -2.0f/9.0f,    6.0f/9.0f, -4.0f/9.0f, -2.0f/9.0f,    8.0f/9.0f, -4.0f/9.0f, -2.0f/9.0f,
	  -8.0f/9.0f, -2.0f/9.0f, -2.0f/9.0f,   -6.0f/9.0f, -2.0f/9.0f, -2.0f/9.0f,   -4.0f/9.0f, -2.0f/9.0f, -2.0f/9.0f,
	  -2.0f/9.0f, -2.0f/9.0f, -2.0f/9.0f,        0.0f, -2.0f/9.0f, -2.0f/9.0f,    2.0f/9.0f, -2.0f/9.0f, -2.0f/9.0f,
		4.0f/9.0f, -2.0f/9.0f, -2.0f/9.0f,    6.0f/9.0f, -2.0f/9.0f, -2.0f/9.0f,    8.0f/9.0f, -2.0f/9.0f, -2.0f/9.0f,
	  -8.0f/9.0f,      0.0f, -2.0f/9.0f,   -6.0f/9.0f,      0.0f, -2.0f/9.0f,   -4.0f/9.0f,      0.0f, -2.0f/9.0f,
	  -2.0f/9.0f,      0.0f, -2.0f/9.0f,        0.0f,      0.0f, -2.0f/9.0f,    2.0f/9.0f,      0.0f, -2.0f/9.0f,
		4.0f/9.0f,      0.0f, -2.0f/9.0f,    6.0f/9.0f,      0.0f, -2.0f/9.0f,    8.0f/9.0f,      0.0f, -2.0f/9.0f,
	  -8.0f/9.0f,  2.0f/9.0f, -2.0f/9.0f,   -6.0f/9.0f,  2.0f/9.0f, -2.0f/9.0f,   -4.0f/9.0f,  2.0f/9.0f, -2.0f/9.0f,
	  -2.0f/9.0f,  2.0f/9.0f, -2.0f/9.0f,        0.0f,  2.0f/9.0f, -2.0f/9.0f,    2.0f/9.0f,  2.0f/9.0f, -2.0f/9.0f,
		4.0f/9.0f,  2.0f/9.0f, -2.0f/9.0f,    6.0f/9.0f,  2.0f/9.0f, -2.0f/9.0f,    8.0f/9.0f,  2.0f/9.0f, -2.0f/9.0f,
	  -8.0f/9.0f,  4.0f/9.0f, -2.0f/9.0f,   -6.0f/9.0f,  4.0f/9.0f, -2.0f/9.0f,   -4.0f/9.0f,  4.0f/9.0f, -2.0f/9.0f,
	  -2.0f/9.0f,  4.0f/9.0f, -2.0f/9.0f,        0.0f,  4.0f/9.0f, -2.0f/9.0f,    2.0f/9.0f,  4.0f/9.0f, -2.0f/9.0f,
		4.0f/9.0f,  4.0f/9.0f, -2.0f/9.0f,    6.0f/9.0f,  4.0f/9.0f, -2.0f/9.0f,    8.0f/9.0f,  4.0f/9.0f, -2.0f/9.0f,
	  -8.0f/9.0f,  6.0f/9.0f, -2.0f/9.0f,   -6.0f/9.0f,  6.0f/9.0f, -2.0f/9.0f,   -4.0f/9.0f,  6.0f/9.0f, -2.0f/9.0f,
	  -2.0f/9.0f,  6.0f/9.0f, -2.0f/9.0f,        0.0f,  6.0f/9.0f, -2.0f/9.0f,    2.0f/9.0f,  6.0f/9.0f, -2.0f/9.0f,
		4.0f/9.0f,  6.0f/9.0f, -2.0f/9.0f,    6.0f/9.0f,  6.0f/9.0f, -2.0f/9.0f,    8.0f/9.0f,  6.0f/9.0f, -2.0f/9.0f,
	  -8.0f/9.0f,  8.0f/9.0f, -2.0f/9.0f,   -6.0f/9.0f,  8.0f/9.0f, -2.0f/9.0f,   -4.0f/9.0f,  8.0f/9.0f, -2.0f/9.0f,
	  -2.0f/9.0f,  8.0f/9.0f, -2.0f/9.0f,        0.0f,  8.0f/9.0f, -2.0f/9.0f,    2.0f/9.0f,  8.0f/9.0f, -2.0f/9.0f,
		4.0f/9.0f,  8.0f/9.0f, -2.0f/9.0f,    6.0f/9.0f,  8.0f/9.0f, -2.0f/9.0f,    8.0f/9.0f,  8.0f/9.0f, -2.0f/9.0f,
	  -8.0f/9.0f, -8.0f/9.0f,      0.0f,   -6.0f/9.0f, -8.0f/9.0f,      0.0f,   -4.0f/9.0f, -8.0f/9.0f,      0.0f,
	  -2.0f/9.0f, -8.0f/9.0f,      0.0f,        0.0f, -8.0f/9.0f,      0.0f,    2.0f/9.0f, -8.0f/9.0f,      0.0f,
		4.0f/9.0f, -8.0f/9.0f,      0.0f,    6.0f/9.0f, -8.0f/9.0f,      0.0f,    8.0f/9.0f, -8.0f/9.0f,      0.0f,
	  -8.0f/9.0f, -6.0f/9.0f,      0.0f,   -6.0f/9.0f, -6.0f/9.0f,      0.0f,   -4.0f/9.0f, -6.0f/9.0f,      0.0f,
	  -2.0f/9.0f, -6.0f/9.0f,      0.0f,        0.0f, -6.0f/9.0f,      0.0f,    2.0f/9.0f, -6.0f/9.0f,      0.0f,
		4.0f/9.0f, -6.0f/9.0f,      0.0f,    6.0f/9.0f, -6.0f/9.0f,      0.0f,    8.0f/9.0f, -6.0f/9.0f,      0.0f,
	  -8.0f/9.0f, -4.0f/9.0f,      0.0f,   -6.0f/9.0f, -4.0f/9.0f,      0.0f,   -4.0f/9.0f, -4.0f/9.0f,      0.0f,
	  -2.0f/9.0f, -4.0f/9.0f,      0.0f,        0.0f, -4.0f/9.0f,      0.0f,    2.0f/9.0f, -4.0f/9.0f,      0.0f,
		4.0f/9.0f, -4.0f/9.0f,      0.0f,    6.0f/9.0f, -4.0f/9.0f,      0.0f,    8.0f/9.0f, -4.0f/9.0f,      0.0f,
	  -8.0f/9.0f, -2.0f/9.0f,      0.0f,   -6.0f/9.0f, -2.0f/9.0f,      0.0f,   -4.0f/9.0f, -2.0f/9.0f,      0.0f,
	  -2.0f/9.0f, -2.0f/9.0f,      0.0f,        0.0f, -2.0f/9.0f,      0.0f,    2.0f/9.0f, -2.0f/9.0f,      0.0f,
		4.0f/9.0f, -2.0f/9.0f,      0.0f,    6.0f/9.0f, -2.0f/9.0f,      0.0f,    8.0f/9.0f, -2.0f/9.0f,      0.0f,
	  -8.0f/9.0f,      0.0f,      0.0f,   -6.0f/9.0f,      0.0f,      0.0f,   -4.0f/9.0f,      0.0f,      0.0f,
	  -2.0f/9.0f,      0.0f,      0.0f,        0.0f,      0.0f,      0.0f,    2.0f/9.0f,      0.0f,      0.0f,
		4.0f/9.0f,      0.0f,      0.0f,    6.0f/9.0f,      0.0f,      0.0f,    8.0f/9.0f,      0.0f,      0.0f,
	  -8.0f/9.0f,  2.0f/9.0f,      0.0f,   -6.0f/9.0f,  2.0f/9.0f,      0.0f,   -4.0f/9.0f,  2.0f/9.0f,      0.0f,