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newmdct.c
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newmdct.c
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/*
* MP3 window subband -> subband filtering -> mdct routine
*
* Copyright (c) 1999-2000 Takehiro Tominaga
*
*
* This library is free software; you can redistribute it and/or
* modify it under the terms of the GNU Library General Public
* License as published by the Free Software Foundation; either
* version 2 of the License, or (at your option) any later version.
*
* This library 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
* Library General Public License for more details.
*
* You should have received a copy of the GNU Library General Public
* License along with this library; if not, write to the
* Free Software Foundation, Inc., 59 Temple Place - Suite 330,
* Boston, MA 02111-1307, USA.
*/
/*
* Special Thanks to Patrick De Smet for your advices.
*/
/* $Id: newmdct.c,v 1.39 2011/05/07 16:05:17 rbrito Exp $ */
#ifdef HAVE_CONFIG_H
# include <config.h>
#endif
#include "lame.h"
#include "machine.h"
#include "encoder.h"
#include "util.h"
#include "newmdct.h"
#ifndef USE_GOGO_SUBBAND
static const FLOAT enwindow[] = {
-4.77e-07 * 0.740951125354959 / 2.384e-06, 1.03951e-04 * 0.740951125354959 / 2.384e-06,
9.53674e-04 * 0.740951125354959 / 2.384e-06, 2.841473e-03 * 0.740951125354959 / 2.384e-06,
3.5758972e-02 * 0.740951125354959 / 2.384e-06, 3.401756e-03 * 0.740951125354959 / 2.384e-06, 9.83715e-04 * 0.740951125354959 / 2.384e-06, 9.9182e-05 * 0.740951125354959 / 2.384e-06, /* 15 */
1.2398e-05 * 0.740951125354959 / 2.384e-06, 1.91212e-04 * 0.740951125354959 / 2.384e-06,
2.283096e-03 * 0.740951125354959 / 2.384e-06, 1.6994476e-02 * 0.740951125354959 / 2.384e-06,
-1.8756866e-02 * 0.740951125354959 / 2.384e-06, -2.630711e-03 * 0.740951125354959 / 2.384e-06,
-2.47478e-04 * 0.740951125354959 / 2.384e-06, -1.4782e-05 * 0.740951125354959 / 2.384e-06,
9.063471690191471e-01,
1.960342806591213e-01,
-4.77e-07 * 0.773010453362737 / 2.384e-06, 1.05858e-04 * 0.773010453362737 / 2.384e-06,
9.30786e-04 * 0.773010453362737 / 2.384e-06, 2.521515e-03 * 0.773010453362737 / 2.384e-06,
3.5694122e-02 * 0.773010453362737 / 2.384e-06, 3.643036e-03 * 0.773010453362737 / 2.384e-06, 9.91821e-04 * 0.773010453362737 / 2.384e-06, 9.6321e-05 * 0.773010453362737 / 2.384e-06, /* 14 */
1.1444e-05 * 0.773010453362737 / 2.384e-06, 1.65462e-04 * 0.773010453362737 / 2.384e-06,
2.110004e-03 * 0.773010453362737 / 2.384e-06, 1.6112804e-02 * 0.773010453362737 / 2.384e-06,
-1.9634247e-02 * 0.773010453362737 / 2.384e-06, -2.803326e-03 * 0.773010453362737 / 2.384e-06,
-2.77042e-04 * 0.773010453362737 / 2.384e-06, -1.6689e-05 * 0.773010453362737 / 2.384e-06,
8.206787908286602e-01,
3.901806440322567e-01,
-4.77e-07 * 0.803207531480645 / 2.384e-06, 1.07288e-04 * 0.803207531480645 / 2.384e-06,
9.02653e-04 * 0.803207531480645 / 2.384e-06, 2.174854e-03 * 0.803207531480645 / 2.384e-06,
3.5586357e-02 * 0.803207531480645 / 2.384e-06, 3.858566e-03 * 0.803207531480645 / 2.384e-06, 9.95159e-04 * 0.803207531480645 / 2.384e-06, 9.3460e-05 * 0.803207531480645 / 2.384e-06, /* 13 */
1.0014e-05 * 0.803207531480645 / 2.384e-06, 1.40190e-04 * 0.803207531480645 / 2.384e-06,
1.937389e-03 * 0.803207531480645 / 2.384e-06, 1.5233517e-02 * 0.803207531480645 / 2.384e-06,
-2.0506859e-02 * 0.803207531480645 / 2.384e-06, -2.974033e-03 * 0.803207531480645 / 2.384e-06,
-3.07560e-04 * 0.803207531480645 / 2.384e-06, -1.8120e-05 * 0.803207531480645 / 2.384e-06,
7.416505462720353e-01,
5.805693545089249e-01,
-4.77e-07 * 0.831469612302545 / 2.384e-06, 1.08242e-04 * 0.831469612302545 / 2.384e-06,
8.68797e-04 * 0.831469612302545 / 2.384e-06, 1.800537e-03 * 0.831469612302545 / 2.384e-06,
3.5435200e-02 * 0.831469612302545 / 2.384e-06, 4.049301e-03 * 0.831469612302545 / 2.384e-06, 9.94205e-04 * 0.831469612302545 / 2.384e-06, 9.0599e-05 * 0.831469612302545 / 2.384e-06, /* 12 */
9.060e-06 * 0.831469612302545 / 2.384e-06, 1.16348e-04 * 0.831469612302545 / 2.384e-06,
1.766682e-03 * 0.831469612302545 / 2.384e-06, 1.4358521e-02 * 0.831469612302545 / 2.384e-06,
-2.1372318e-02 * 0.831469612302545 / 2.384e-06, -3.14188e-03 * 0.831469612302545 / 2.384e-06,
-3.39031e-04 * 0.831469612302545 / 2.384e-06, -1.9550e-05 * 0.831469612302545 / 2.384e-06,
6.681786379192989e-01,
7.653668647301797e-01,
-4.77e-07 * 0.857728610000272 / 2.384e-06, 1.08719e-04 * 0.857728610000272 / 2.384e-06,
8.29220e-04 * 0.857728610000272 / 2.384e-06, 1.399517e-03 * 0.857728610000272 / 2.384e-06,
3.5242081e-02 * 0.857728610000272 / 2.384e-06, 4.215240e-03 * 0.857728610000272 / 2.384e-06, 9.89437e-04 * 0.857728610000272 / 2.384e-06, 8.7261e-05 * 0.857728610000272 / 2.384e-06, /* 11 */
8.106e-06 * 0.857728610000272 / 2.384e-06, 9.3937e-05 * 0.857728610000272 / 2.384e-06,
1.597881e-03 * 0.857728610000272 / 2.384e-06, 1.3489246e-02 * 0.857728610000272 / 2.384e-06,
-2.2228718e-02 * 0.857728610000272 / 2.384e-06, -3.306866e-03 * 0.857728610000272 / 2.384e-06,
-3.71456e-04 * 0.857728610000272 / 2.384e-06, -2.1458e-05 * 0.857728610000272 / 2.384e-06,
5.993769336819237e-01,
9.427934736519954e-01,
-4.77e-07 * 0.881921264348355 / 2.384e-06, 1.08719e-04 * 0.881921264348355 / 2.384e-06,
7.8392e-04 * 0.881921264348355 / 2.384e-06, 9.71317e-04 * 0.881921264348355 / 2.384e-06,
3.5007000e-02 * 0.881921264348355 / 2.384e-06, 4.357815e-03 * 0.881921264348355 / 2.384e-06, 9.80854e-04 * 0.881921264348355 / 2.384e-06, 8.3923e-05 * 0.881921264348355 / 2.384e-06, /* 10 */
7.629e-06 * 0.881921264348355 / 2.384e-06, 7.2956e-05 * 0.881921264348355 / 2.384e-06,
1.432419e-03 * 0.881921264348355 / 2.384e-06, 1.2627602e-02 * 0.881921264348355 / 2.384e-06,
-2.3074150e-02 * 0.881921264348355 / 2.384e-06, -3.467083e-03 * 0.881921264348355 / 2.384e-06,
-4.04358e-04 * 0.881921264348355 / 2.384e-06, -2.3365e-05 * 0.881921264348355 / 2.384e-06,
5.345111359507916e-01,
1.111140466039205e+00,
-9.54e-07 * 0.903989293123443 / 2.384e-06, 1.08242e-04 * 0.903989293123443 / 2.384e-06,
7.31945e-04 * 0.903989293123443 / 2.384e-06, 5.15938e-04 * 0.903989293123443 / 2.384e-06,
3.4730434e-02 * 0.903989293123443 / 2.384e-06, 4.477024e-03 * 0.903989293123443 / 2.384e-06, 9.68933e-04 * 0.903989293123443 / 2.384e-06, 8.0585e-05 * 0.903989293123443 / 2.384e-06, /* 9 */
6.676e-06 * 0.903989293123443 / 2.384e-06, 5.2929e-05 * 0.903989293123443 / 2.384e-06,
1.269817e-03 * 0.903989293123443 / 2.384e-06, 1.1775017e-02 * 0.903989293123443 / 2.384e-06,
-2.3907185e-02 * 0.903989293123443 / 2.384e-06, -3.622532e-03 * 0.903989293123443 / 2.384e-06,
-4.38213e-04 * 0.903989293123443 / 2.384e-06, -2.5272e-05 * 0.903989293123443 / 2.384e-06,
4.729647758913199e-01,
1.268786568327291e+00,
-9.54e-07 * 0.92387953251128675613 / 2.384e-06,
1.06812e-04 * 0.92387953251128675613 / 2.384e-06,
6.74248e-04 * 0.92387953251128675613 / 2.384e-06,
3.3379e-05 * 0.92387953251128675613 / 2.384e-06,
3.4412861e-02 * 0.92387953251128675613 / 2.384e-06,
4.573822e-03 * 0.92387953251128675613 / 2.384e-06,
9.54151e-04 * 0.92387953251128675613 / 2.384e-06,
7.6771e-05 * 0.92387953251128675613 / 2.384e-06,
6.199e-06 * 0.92387953251128675613 / 2.384e-06, 3.4332e-05 * 0.92387953251128675613 / 2.384e-06,
1.111031e-03 * 0.92387953251128675613 / 2.384e-06,
1.0933399e-02 * 0.92387953251128675613 / 2.384e-06,
-2.4725437e-02 * 0.92387953251128675613 / 2.384e-06,
-3.771782e-03 * 0.92387953251128675613 / 2.384e-06,
-4.72546e-04 * 0.92387953251128675613 / 2.384e-06,
-2.7657e-05 * 0.92387953251128675613 / 2.384e-06,
4.1421356237309504879e-01, /* tan(PI/8) */
1.414213562373095e+00,
-9.54e-07 * 0.941544065183021 / 2.384e-06, 1.05381e-04 * 0.941544065183021 / 2.384e-06,
6.10352e-04 * 0.941544065183021 / 2.384e-06, -4.75883e-04 * 0.941544065183021 / 2.384e-06,
3.4055710e-02 * 0.941544065183021 / 2.384e-06, 4.649162e-03 * 0.941544065183021 / 2.384e-06, 9.35555e-04 * 0.941544065183021 / 2.384e-06, 7.3433e-05 * 0.941544065183021 / 2.384e-06, /* 7 */
5.245e-06 * 0.941544065183021 / 2.384e-06, 1.7166e-05 * 0.941544065183021 / 2.384e-06,
9.56535e-04 * 0.941544065183021 / 2.384e-06, 1.0103703e-02 * 0.941544065183021 / 2.384e-06,
-2.5527000e-02 * 0.941544065183021 / 2.384e-06, -3.914356e-03 * 0.941544065183021 / 2.384e-06,
-5.07355e-04 * 0.941544065183021 / 2.384e-06, -3.0041e-05 * 0.941544065183021 / 2.384e-06,
3.578057213145241e-01,
1.546020906725474e+00,
-9.54e-07 * 0.956940335732209 / 2.384e-06, 1.02520e-04 * 0.956940335732209 / 2.384e-06,
5.39303e-04 * 0.956940335732209 / 2.384e-06, -1.011848e-03 * 0.956940335732209 / 2.384e-06,
3.3659935e-02 * 0.956940335732209 / 2.384e-06, 4.703045e-03 * 0.956940335732209 / 2.384e-06, 9.15051e-04 * 0.956940335732209 / 2.384e-06, 7.0095e-05 * 0.956940335732209 / 2.384e-06, /* 6 */
4.768e-06 * 0.956940335732209 / 2.384e-06, 9.54e-07 * 0.956940335732209 / 2.384e-06,
8.06808e-04 * 0.956940335732209 / 2.384e-06, 9.287834e-03 * 0.956940335732209 / 2.384e-06,
-2.6310921e-02 * 0.956940335732209 / 2.384e-06, -4.048824e-03 * 0.956940335732209 / 2.384e-06,
-5.42164e-04 * 0.956940335732209 / 2.384e-06, -3.2425e-05 * 0.956940335732209 / 2.384e-06,
3.033466836073424e-01,
1.662939224605090e+00,
-1.431e-06 * 0.970031253194544 / 2.384e-06, 9.9182e-05 * 0.970031253194544 / 2.384e-06,
4.62532e-04 * 0.970031253194544 / 2.384e-06, -1.573563e-03 * 0.970031253194544 / 2.384e-06,
3.3225536e-02 * 0.970031253194544 / 2.384e-06, 4.737377e-03 * 0.970031253194544 / 2.384e-06, 8.91685e-04 * 0.970031253194544 / 2.384e-06, 6.6280e-05 * 0.970031253194544 / 2.384e-06, /* 5 */
4.292e-06 * 0.970031253194544 / 2.384e-06, -1.3828e-05 * 0.970031253194544 / 2.384e-06,
6.61850e-04 * 0.970031253194544 / 2.384e-06, 8.487225e-03 * 0.970031253194544 / 2.384e-06,
-2.7073860e-02 * 0.970031253194544 / 2.384e-06, -4.174709e-03 * 0.970031253194544 / 2.384e-06,
-5.76973e-04 * 0.970031253194544 / 2.384e-06, -3.4809e-05 * 0.970031253194544 / 2.384e-06,
2.504869601913055e-01,
1.763842528696710e+00,
-1.431e-06 * 0.98078528040323 / 2.384e-06, 9.5367e-05 * 0.98078528040323 / 2.384e-06,
3.78609e-04 * 0.98078528040323 / 2.384e-06, -2.161503e-03 * 0.98078528040323 / 2.384e-06,
3.2754898e-02 * 0.98078528040323 / 2.384e-06, 4.752159e-03 * 0.98078528040323 / 2.384e-06, 8.66413e-04 * 0.98078528040323 / 2.384e-06, 6.2943e-05 * 0.98078528040323 / 2.384e-06, /* 4 */
3.815e-06 * 0.98078528040323 / 2.384e-06, -2.718e-05 * 0.98078528040323 / 2.384e-06,
5.22137e-04 * 0.98078528040323 / 2.384e-06, 7.703304e-03 * 0.98078528040323 / 2.384e-06,
-2.7815342e-02 * 0.98078528040323 / 2.384e-06, -4.290581e-03 * 0.98078528040323 / 2.384e-06,
-6.11782e-04 * 0.98078528040323 / 2.384e-06, -3.7670e-05 * 0.98078528040323 / 2.384e-06,
1.989123673796580e-01,
1.847759065022573e+00,
-1.907e-06 * 0.989176509964781 / 2.384e-06, 9.0122e-05 * 0.989176509964781 / 2.384e-06,
2.88486e-04 * 0.989176509964781 / 2.384e-06, -2.774239e-03 * 0.989176509964781 / 2.384e-06,
3.2248020e-02 * 0.989176509964781 / 2.384e-06, 4.748821e-03 * 0.989176509964781 / 2.384e-06, 8.38757e-04 * 0.989176509964781 / 2.384e-06, 5.9605e-05 * 0.989176509964781 / 2.384e-06, /* 3 */
3.338e-06 * 0.989176509964781 / 2.384e-06, -3.9577e-05 * 0.989176509964781 / 2.384e-06,
3.88145e-04 * 0.989176509964781 / 2.384e-06, 6.937027e-03 * 0.989176509964781 / 2.384e-06,
-2.8532982e-02 * 0.989176509964781 / 2.384e-06, -4.395962e-03 * 0.989176509964781 / 2.384e-06,
-6.46591e-04 * 0.989176509964781 / 2.384e-06, -4.0531e-05 * 0.989176509964781 / 2.384e-06,
1.483359875383474e-01,
1.913880671464418e+00,
-1.907e-06 * 0.995184726672197 / 2.384e-06, 8.4400e-05 * 0.995184726672197 / 2.384e-06,
1.91689e-04 * 0.995184726672197 / 2.384e-06, -3.411293e-03 * 0.995184726672197 / 2.384e-06,
3.1706810e-02 * 0.995184726672197 / 2.384e-06, 4.728317e-03 * 0.995184726672197 / 2.384e-06,
8.09669e-04 * 0.995184726672197 / 2.384e-06, 5.579e-05 * 0.995184726672197 / 2.384e-06,
3.338e-06 * 0.995184726672197 / 2.384e-06, -5.0545e-05 * 0.995184726672197 / 2.384e-06,
2.59876e-04 * 0.995184726672197 / 2.384e-06, 6.189346e-03 * 0.995184726672197 / 2.384e-06,
-2.9224873e-02 * 0.995184726672197 / 2.384e-06, -4.489899e-03 * 0.995184726672197 / 2.384e-06,
-6.80923e-04 * 0.995184726672197 / 2.384e-06, -4.3392e-05 * 0.995184726672197 / 2.384e-06,
9.849140335716425e-02,
1.961570560806461e+00,
-2.384e-06 * 0.998795456205172 / 2.384e-06, 7.7724e-05 * 0.998795456205172 / 2.384e-06,
8.8215e-05 * 0.998795456205172 / 2.384e-06, -4.072189e-03 * 0.998795456205172 / 2.384e-06,
3.1132698e-02 * 0.998795456205172 / 2.384e-06, 4.691124e-03 * 0.998795456205172 / 2.384e-06,
7.79152e-04 * 0.998795456205172 / 2.384e-06, 5.2929e-05 * 0.998795456205172 / 2.384e-06,
2.861e-06 * 0.998795456205172 / 2.384e-06, -6.0558e-05 * 0.998795456205172 / 2.384e-06,
1.37329e-04 * 0.998795456205172 / 2.384e-06, 5.462170e-03 * 0.998795456205172 / 2.384e-06,
-2.9890060e-02 * 0.998795456205172 / 2.384e-06, -4.570484e-03 * 0.998795456205172 / 2.384e-06,
-7.14302e-04 * 0.998795456205172 / 2.384e-06, -4.6253e-05 * 0.998795456205172 / 2.384e-06,
4.912684976946725e-02,
1.990369453344394e+00,
3.5780907e-02 * SQRT2 * 0.5 / 2.384e-06, 1.7876148e-02 * SQRT2 * 0.5 / 2.384e-06,
3.134727e-03 * SQRT2 * 0.5 / 2.384e-06, 2.457142e-03 * SQRT2 * 0.5 / 2.384e-06,
9.71317e-04 * SQRT2 * 0.5 / 2.384e-06, 2.18868e-04 * SQRT2 * 0.5 / 2.384e-06,
1.01566e-04 * SQRT2 * 0.5 / 2.384e-06, 1.3828e-05 * SQRT2 * 0.5 / 2.384e-06,
3.0526638e-02 / 2.384e-06, 4.638195e-03 / 2.384e-06, 7.47204e-04 / 2.384e-06,
4.9591e-05 / 2.384e-06,
4.756451e-03 / 2.384e-06, 2.1458e-05 / 2.384e-06, -6.9618e-05 / 2.384e-06, /* 2.384e-06/2.384e-06 */
};
#endif
#define NS 12
#define NL 36
static const FLOAT win[4][NL] = {
{
2.382191739347913e-13,
6.423305872147834e-13,
9.400849094049688e-13,
1.122435026096556e-12,
1.183840321267481e-12,
1.122435026096556e-12,
9.400849094049690e-13,
6.423305872147839e-13,
2.382191739347918e-13,
5.456116108943412e-12,
4.878985199565852e-12,
4.240448995017367e-12,
3.559909094758252e-12,
2.858043359288075e-12,
2.156177623817898e-12,
1.475637723558783e-12,
8.371015190102974e-13,
2.599706096327376e-13,
-5.456116108943412e-12,
-4.878985199565852e-12,
-4.240448995017367e-12,
-3.559909094758252e-12,
-2.858043359288076e-12,
-2.156177623817898e-12,
-1.475637723558783e-12,
-8.371015190102975e-13,
-2.599706096327376e-13,
-2.382191739347923e-13,
-6.423305872147843e-13,
-9.400849094049696e-13,
-1.122435026096556e-12,
-1.183840321267481e-12,
-1.122435026096556e-12,
-9.400849094049694e-13,
-6.423305872147840e-13,
-2.382191739347918e-13,
},
{
2.382191739347913e-13,
6.423305872147834e-13,
9.400849094049688e-13,
1.122435026096556e-12,
1.183840321267481e-12,
1.122435026096556e-12,
9.400849094049688e-13,
6.423305872147841e-13,
2.382191739347918e-13,
5.456116108943413e-12,
4.878985199565852e-12,
4.240448995017367e-12,
3.559909094758253e-12,
2.858043359288075e-12,
2.156177623817898e-12,
1.475637723558782e-12,
8.371015190102975e-13,
2.599706096327376e-13,
-5.461314069809755e-12,
-4.921085770524055e-12,
-4.343405037091838e-12,
-3.732668368707687e-12,
-3.093523840190885e-12,
-2.430835727329465e-12,
-1.734679010007751e-12,
-9.748253656609281e-13,
-2.797435120168326e-13,
0.000000000000000e+00,
0.000000000000000e+00,
0.000000000000000e+00,
0.000000000000000e+00,
0.000000000000000e+00,
0.000000000000000e+00,
-2.283748241799531e-13,
-4.037858874020686e-13,
-2.146547464825323e-13,
},
{
1.316524975873958e-01, /* win[SHORT_TYPE] */
4.142135623730950e-01,
7.673269879789602e-01,
1.091308501069271e+00, /* tantab_l */
1.303225372841206e+00,
1.569685577117490e+00,
1.920982126971166e+00,
2.414213562373094e+00,
3.171594802363212e+00,
4.510708503662055e+00,
7.595754112725146e+00,
2.290376554843115e+01,
0.98480775301220802032, /* cx */
0.64278760968653936292,
0.34202014332566882393,
0.93969262078590842791,
-0.17364817766693030343,
-0.76604444311897790243,
0.86602540378443870761,
0.500000000000000e+00,
-5.144957554275265e-01, /* ca */
-4.717319685649723e-01,
-3.133774542039019e-01,
-1.819131996109812e-01,
-9.457419252642064e-02,
-4.096558288530405e-02,
-1.419856857247115e-02,
-3.699974673760037e-03,
8.574929257125442e-01, /* cs */
8.817419973177052e-01,
9.496286491027329e-01,
9.833145924917901e-01,
9.955178160675857e-01,
9.991605581781475e-01,
9.998991952444470e-01,
9.999931550702802e-01,
},
{
0.000000000000000e+00,
0.000000000000000e+00,
0.000000000000000e+00,
0.000000000000000e+00,
0.000000000000000e+00,
0.000000000000000e+00,
2.283748241799531e-13,
4.037858874020686e-13,
2.146547464825323e-13,
5.461314069809755e-12,
4.921085770524055e-12,
4.343405037091838e-12,
3.732668368707687e-12,
3.093523840190885e-12,
2.430835727329466e-12,
1.734679010007751e-12,
9.748253656609281e-13,
2.797435120168326e-13,
-5.456116108943413e-12,
-4.878985199565852e-12,
-4.240448995017367e-12,
-3.559909094758253e-12,
-2.858043359288075e-12,
-2.156177623817898e-12,
-1.475637723558782e-12,
-8.371015190102975e-13,
-2.599706096327376e-13,
-2.382191739347913e-13,
-6.423305872147834e-13,
-9.400849094049688e-13,
-1.122435026096556e-12,
-1.183840321267481e-12,
-1.122435026096556e-12,
-9.400849094049688e-13,
-6.423305872147841e-13,
-2.382191739347918e-13,
}
};
#define tantab_l (win[SHORT_TYPE]+3)
#define cx (win[SHORT_TYPE]+12)
#define ca (win[SHORT_TYPE]+20)
#define cs (win[SHORT_TYPE]+28)
/************************************************************************
*
* window_subband()
*
* PURPOSE: Overlapping window on PCM samples
*
* SEMANTICS:
* 32 16-bit pcm samples are scaled to fractional 2's complement and
* concatenated to the end of the window buffer #x#. The updated window
* buffer #x# is then windowed by the analysis window #c# to produce the
* windowed sample #z#
*
************************************************************************/
/*
* new IDCT routine written by Takehiro TOMINAGA
*/
static const int order[] = {
0, 1, 16, 17, 8, 9, 24, 25, 4, 5, 20, 21, 12, 13, 28, 29,
2, 3, 18, 19, 10, 11, 26, 27, 6, 7, 22, 23, 14, 15, 30, 31
};
/* returns sum_j=0^31 a[j]*cos(PI*j*(k+1/2)/32), 0<=k<32 */
inline static void
window_subband(const sample_t * x1, FLOAT a[SBLIMIT])
{
int i;
FLOAT const *wp = enwindow + 10;
const sample_t *x2 = &x1[238 - 14 - 286];
for (i = -15; i < 0; i++) {
FLOAT w, s, t;
w = wp[-10];
s = x2[-224] * w;
t = x1[224] * w;
w = wp[-9];
s += x2[-160] * w;
t += x1[160] * w;
w = wp[-8];
s += x2[-96] * w;
t += x1[96] * w;
w = wp[-7];
s += x2[-32] * w;
t += x1[32] * w;
w = wp[-6];
s += x2[32] * w;
t += x1[-32] * w;
w = wp[-5];
s += x2[96] * w;
t += x1[-96] * w;
w = wp[-4];
s += x2[160] * w;
t += x1[-160] * w;
w = wp[-3];
s += x2[224] * w;
t += x1[-224] * w;
w = wp[-2];
s += x1[-256] * w;
t -= x2[256] * w;
w = wp[-1];
s += x1[-192] * w;
t -= x2[192] * w;
w = wp[0];
s += x1[-128] * w;
t -= x2[128] * w;
w = wp[1];
s += x1[-64] * w;
t -= x2[64] * w;
w = wp[2];
s += x1[0] * w;
t -= x2[0] * w;
w = wp[3];
s += x1[64] * w;
t -= x2[-64] * w;
w = wp[4];
s += x1[128] * w;
t -= x2[-128] * w;
w = wp[5];
s += x1[192] * w;
t -= x2[-192] * w;
/*
* this multiplyer could be removed, but it needs more 256 FLOAT data.
* thinking about the data cache performance, I think we should not
* use such a huge table. tt 2000/Oct/25
*/
s *= wp[6];
w = t - s;
a[30 + i * 2] = t + s;
a[31 + i * 2] = wp[7] * w;
wp += 18;
x1--;
x2++;
}
{
FLOAT s, t, u, v;
t = x1[-16] * wp[-10];
s = x1[-32] * wp[-2];
t += (x1[-48] - x1[16]) * wp[-9];
s += x1[-96] * wp[-1];
t += (x1[-80] + x1[48]) * wp[-8];
s += x1[-160] * wp[0];
t += (x1[-112] - x1[80]) * wp[-7];
s += x1[-224] * wp[1];
t += (x1[-144] + x1[112]) * wp[-6];
s -= x1[32] * wp[2];
t += (x1[-176] - x1[144]) * wp[-5];
s -= x1[96] * wp[3];
t += (x1[-208] + x1[176]) * wp[-4];
s -= x1[160] * wp[4];
t += (x1[-240] - x1[208]) * wp[-3];
s -= x1[224];
u = s - t;
v = s + t;
t = a[14];
s = a[15] - t;
a[31] = v + t; /* A0 */
a[30] = u + s; /* A1 */
a[15] = u - s; /* A2 */
a[14] = v - t; /* A3 */
}
{
FLOAT xr;
xr = a[28] - a[0];
a[0] += a[28];
a[28] = xr * wp[-2 * 18 + 7];
xr = a[29] - a[1];
a[1] += a[29];
a[29] = xr * wp[-2 * 18 + 7];
xr = a[26] - a[2];
a[2] += a[26];
a[26] = xr * wp[-4 * 18 + 7];
xr = a[27] - a[3];
a[3] += a[27];
a[27] = xr * wp[-4 * 18 + 7];
xr = a[24] - a[4];
a[4] += a[24];
a[24] = xr * wp[-6 * 18 + 7];
xr = a[25] - a[5];
a[5] += a[25];
a[25] = xr * wp[-6 * 18 + 7];
xr = a[22] - a[6];
a[6] += a[22];
a[22] = xr * SQRT2;
xr = a[23] - a[7];
a[7] += a[23];
a[23] = xr * SQRT2 - a[7];
a[7] -= a[6];
a[22] -= a[7];
a[23] -= a[22];
xr = a[6];
a[6] = a[31] - xr;
a[31] = a[31] + xr;
xr = a[7];
a[7] = a[30] - xr;
a[30] = a[30] + xr;
xr = a[22];
a[22] = a[15] - xr;
a[15] = a[15] + xr;
xr = a[23];
a[23] = a[14] - xr;
a[14] = a[14] + xr;
xr = a[20] - a[8];
a[8] += a[20];
a[20] = xr * wp[-10 * 18 + 7];
xr = a[21] - a[9];
a[9] += a[21];
a[21] = xr * wp[-10 * 18 + 7];
xr = a[18] - a[10];
a[10] += a[18];
a[18] = xr * wp[-12 * 18 + 7];
xr = a[19] - a[11];
a[11] += a[19];
a[19] = xr * wp[-12 * 18 + 7];
xr = a[16] - a[12];
a[12] += a[16];
a[16] = xr * wp[-14 * 18 + 7];
xr = a[17] - a[13];
a[13] += a[17];
a[17] = xr * wp[-14 * 18 + 7];
xr = -a[20] + a[24];
a[20] += a[24];
a[24] = xr * wp[-12 * 18 + 7];
xr = -a[21] + a[25];
a[21] += a[25];
a[25] = xr * wp[-12 * 18 + 7];
xr = a[4] - a[8];
a[4] += a[8];
a[8] = xr * wp[-12 * 18 + 7];
xr = a[5] - a[9];
a[5] += a[9];
a[9] = xr * wp[-12 * 18 + 7];
xr = a[0] - a[12];
a[0] += a[12];
a[12] = xr * wp[-4 * 18 + 7];
xr = a[1] - a[13];
a[1] += a[13];
a[13] = xr * wp[-4 * 18 + 7];
xr = a[16] - a[28];
a[16] += a[28];
a[28] = xr * wp[-4 * 18 + 7];
xr = -a[17] + a[29];
a[17] += a[29];
a[29] = xr * wp[-4 * 18 + 7];
xr = SQRT2 * (a[2] - a[10]);
a[2] += a[10];
a[10] = xr;
xr = SQRT2 * (a[3] - a[11]);
a[3] += a[11];
a[11] = xr;
xr = SQRT2 * (-a[18] + a[26]);
a[18] += a[26];
a[26] = xr - a[18];
xr = SQRT2 * (-a[19] + a[27]);
a[19] += a[27];
a[27] = xr - a[19];
xr = a[2];
a[19] -= a[3];
a[3] -= xr;
a[2] = a[31] - xr;
a[31] += xr;
xr = a[3];
a[11] -= a[19];
a[18] -= xr;
a[3] = a[30] - xr;
a[30] += xr;
xr = a[18];
a[27] -= a[11];
a[19] -= xr;
a[18] = a[15] - xr;
a[15] += xr;
xr = a[19];
a[10] -= xr;
a[19] = a[14] - xr;
a[14] += xr;
xr = a[10];
a[11] -= xr;
a[10] = a[23] - xr;
a[23] += xr;
xr = a[11];
a[26] -= xr;
a[11] = a[22] - xr;
a[22] += xr;
xr = a[26];
a[27] -= xr;
a[26] = a[7] - xr;
a[7] += xr;
xr = a[27];
a[27] = a[6] - xr;
a[6] += xr;
xr = SQRT2 * (a[0] - a[4]);
a[0] += a[4];
a[4] = xr;
xr = SQRT2 * (a[1] - a[5]);
a[1] += a[5];
a[5] = xr;
xr = SQRT2 * (a[16] - a[20]);
a[16] += a[20];
a[20] = xr;
xr = SQRT2 * (a[17] - a[21]);
a[17] += a[21];
a[21] = xr;
xr = -SQRT2 * (a[8] - a[12]);
a[8] += a[12];
a[12] = xr - a[8];
xr = -SQRT2 * (a[9] - a[13]);
a[9] += a[13];
a[13] = xr - a[9];
xr = -SQRT2 * (a[25] - a[29]);
a[25] += a[29];
a[29] = xr - a[25];
xr = -SQRT2 * (a[24] + a[28]);
a[24] -= a[28];
a[28] = xr - a[24];
xr = a[24] - a[16];
a[24] = xr;
xr = a[20] - xr;
a[20] = xr;
xr = a[28] - xr;
a[28] = xr;
xr = a[25] - a[17];
a[25] = xr;
xr = a[21] - xr;
a[21] = xr;
xr = a[29] - xr;
a[29] = xr;
xr = a[17] - a[1];
a[17] = xr;
xr = a[9] - xr;
a[9] = xr;
xr = a[25] - xr;
a[25] = xr;
xr = a[5] - xr;
a[5] = xr;
xr = a[21] - xr;
a[21] = xr;
xr = a[13] - xr;
a[13] = xr;
xr = a[29] - xr;
a[29] = xr;
xr = a[1] - a[0];
a[1] = xr;
xr = a[16] - xr;
a[16] = xr;
xr = a[17] - xr;
a[17] = xr;
xr = a[8] - xr;
a[8] = xr;
xr = a[9] - xr;
a[9] = xr;
xr = a[24] - xr;
a[24] = xr;
xr = a[25] - xr;
a[25] = xr;
xr = a[4] - xr;
a[4] = xr;
xr = a[5] - xr;
a[5] = xr;
xr = a[20] - xr;
a[20] = xr;
xr = a[21] - xr;
a[21] = xr;
xr = a[12] - xr;
a[12] = xr;
xr = a[13] - xr;
a[13] = xr;
xr = a[28] - xr;
a[28] = xr;
xr = a[29] - xr;
a[29] = xr;
xr = a[0];
a[0] += a[31];
a[31] -= xr;
xr = a[1];
a[1] += a[30];
a[30] -= xr;
xr = a[16];
a[16] += a[15];
a[15] -= xr;
xr = a[17];
a[17] += a[14];
a[14] -= xr;
xr = a[8];
a[8] += a[23];
a[23] -= xr;
xr = a[9];
a[9] += a[22];
a[22] -= xr;
xr = a[24];
a[24] += a[7];
a[7] -= xr;
xr = a[25];
a[25] += a[6];
a[6] -= xr;
xr = a[4];
a[4] += a[27];
a[27] -= xr;
xr = a[5];
a[5] += a[26];
a[26] -= xr;
xr = a[20];
a[20] += a[11];
a[11] -= xr;
xr = a[21];
a[21] += a[10];
a[10] -= xr;
xr = a[12];
a[12] += a[19];
a[19] -= xr;
xr = a[13];
a[13] += a[18];
a[18] -= xr;
xr = a[28];
a[28] += a[3];
a[3] -= xr;
xr = a[29];
a[29] += a[2];
a[2] -= xr;
}
}
/*-------------------------------------------------------------------*/
/* */
/* Function: Calculation of the MDCT */
/* In the case of long blocks (type 0,1,3) there are */
/* 36 coefficents in the time domain and 18 in the frequency */
/* domain. */
/* In the case of short blocks (type 2) there are 3 */
/* transformations with short length. This leads to 12 coefficents */
/* in the time and 6 in the frequency domain. In this case the */
/* results are stored side by side in the vector out[]. */
/* */
/* New layer3 */
/* */
/*-------------------------------------------------------------------*/
inline static void
mdct_short(FLOAT * inout)
{
int l;
for (l = 0; l < 3; l++) {
FLOAT tc0, tc1, tc2, ts0, ts1, ts2;
ts0 = inout[2 * 3] * win[SHORT_TYPE][0] - inout[5 * 3];
tc0 = inout[0 * 3] * win[SHORT_TYPE][2] - inout[3 * 3];
tc1 = ts0 + tc0;
tc2 = ts0 - tc0;
ts0 = inout[5 * 3] * win[SHORT_TYPE][0] + inout[2 * 3];
tc0 = inout[3 * 3] * win[SHORT_TYPE][2] + inout[0 * 3];
ts1 = ts0 + tc0;
ts2 = -ts0 + tc0;
tc0 = (inout[1 * 3] * win[SHORT_TYPE][1] - inout[4 * 3]) * 2.069978111953089e-11; /* tritab_s[1] */
ts0 = (inout[4 * 3] * win[SHORT_TYPE][1] + inout[1 * 3]) * 2.069978111953089e-11; /* tritab_s[1] */
inout[3 * 0] = tc1 * 1.907525191737280e-11 /* tritab_s[2] */ + tc0;
inout[3 * 5] = -ts1 * 1.907525191737280e-11 /* tritab_s[0] */ + ts0;
tc2 = tc2 * 0.86602540378443870761 * 1.907525191737281e-11 /* tritab_s[2] */ ;
ts1 = ts1 * 0.5 * 1.907525191737281e-11 + ts0;
inout[3 * 1] = tc2 - ts1;
inout[3 * 2] = tc2 + ts1;
tc1 = tc1 * 0.5 * 1.907525191737281e-11 - tc0;
ts2 = ts2 * 0.86602540378443870761 * 1.907525191737281e-11 /* tritab_s[0] */ ;
inout[3 * 3] = tc1 + ts2;
inout[3 * 4] = tc1 - ts2;
inout++;
}
}
inline static void
mdct_long(FLOAT * out, FLOAT const *in)
{
FLOAT ct, st;
{
FLOAT tc1, tc2, tc3, tc4, ts5, ts6, ts7, ts8;
/* 1,2, 5,6, 9,10, 13,14, 17 */
tc1 = in[17] - in[9];
tc3 = in[15] - in[11];
tc4 = in[14] - in[12];
ts5 = in[0] + in[8];
ts6 = in[1] + in[7];
ts7 = in[2] + in[6];
ts8 = in[3] + in[5];
out[17] = (ts5 + ts7 - ts8) - (ts6 - in[4]);
st = (ts5 + ts7 - ts8) * cx[7] + (ts6 - in[4]);
ct = (tc1 - tc3 - tc4) * cx[6];
out[5] = ct + st;
out[6] = ct - st;
tc2 = (in[16] - in[10]) * cx[6];
ts6 = ts6 * cx[7] + in[4];
ct = tc1 * cx[0] + tc2 + tc3 * cx[1] + tc4 * cx[2];
st = -ts5 * cx[4] + ts6 - ts7 * cx[5] + ts8 * cx[3];
out[1] = ct + st;
out[2] = ct - st;
ct = tc1 * cx[1] - tc2 - tc3 * cx[2] + tc4 * cx[0];
st = -ts5 * cx[5] + ts6 - ts7 * cx[3] + ts8 * cx[4];
out[9] = ct + st;
out[10] = ct - st;
ct = tc1 * cx[2] - tc2 + tc3 * cx[0] - tc4 * cx[1];
st = ts5 * cx[3] - ts6 + ts7 * cx[4] - ts8 * cx[5];
out[13] = ct + st;
out[14] = ct - st;
}
{
FLOAT ts1, ts2, ts3, ts4, tc5, tc6, tc7, tc8;
ts1 = in[8] - in[0];
ts3 = in[6] - in[2];
ts4 = in[5] - in[3];
tc5 = in[17] + in[9];
tc6 = in[16] + in[10];
tc7 = in[15] + in[11];
tc8 = in[14] + in[12];
out[0] = (tc5 + tc7 + tc8) + (tc6 + in[13]);
ct = (tc5 + tc7 + tc8) * cx[7] - (tc6 + in[13]);
st = (ts1 - ts3 + ts4) * cx[6];
out[11] = ct + st;
out[12] = ct - st;
ts2 = (in[7] - in[1]) * cx[6];
tc6 = in[13] - tc6 * cx[7];
ct = tc5 * cx[3] - tc6 + tc7 * cx[4] + tc8 * cx[5];
st = ts1 * cx[2] + ts2 + ts3 * cx[0] + ts4 * cx[1];
out[3] = ct + st;
out[4] = ct - st;
ct = -tc5 * cx[5] + tc6 - tc7 * cx[3] - tc8 * cx[4];
st = ts1 * cx[1] + ts2 - ts3 * cx[2] - ts4 * cx[0];
out[7] = ct + st;
out[8] = ct - st;
ct = -tc5 * cx[4] + tc6 - tc7 * cx[5] - tc8 * cx[3];
st = ts1 * cx[0] - ts2 + ts3 * cx[1] - ts4 * cx[2];
out[15] = ct + st;
out[16] = ct - st;
}
}
void
mdct_sub48(lame_internal_flags * gfc, const sample_t * w0, const sample_t * w1)
{
SessionConfig_t const *const cfg = &gfc->cfg;
EncStateVar_t *const esv = &gfc->sv_enc;
int gr, k, ch;
const sample_t *wk;
wk = w0 + 286;
/* thinking cache performance, ch->gr loop is better than gr->ch loop */
for (ch = 0; ch < cfg->channels_out; ch++) {
for (gr = 0; gr < cfg->mode_gr; gr++) {
int band;
gr_info *const gi = &(gfc->l3_side.tt[gr][ch]);
FLOAT *mdct_enc = gi->xr;
FLOAT *samp = esv->sb_sample[ch][1 - gr][0];
for (k = 0; k < 18 / 2; k++) {
window_subband(wk, samp);
window_subband(wk + 32, samp + 32);
samp += 64;
wk += 64;
/*
* Compensate for inversion in the analysis filter
*/
for (band = 1; band < 32; band += 2) {
samp[band - 32] *= -1;
}
}
/*
* Perform imdct of 18 previous subband samples
* + 18 current subband samples
*/
for (band = 0; band < 32; band++, mdct_enc += 18) {
int type = gi->block_type;
FLOAT const *const band0 = esv->sb_sample[ch][gr][0] + order[band];
FLOAT *const band1 = esv->sb_sample[ch][1 - gr][0] + order[band];
if (gi->mixed_block_flag && band < 2)
type = 0;
if (esv->amp_filter[band] < 1e-12) {
memset(mdct_enc, 0, 18 * sizeof(FLOAT));
}
else {
if (esv->amp_filter[band] < 1.0) {
for (k = 0; k < 18; k++)
band1[k * 32] *= esv->amp_filter[band];
}
if (type == SHORT_TYPE) {
for (k = -NS / 4; k < 0; k++) {
FLOAT const w = win[SHORT_TYPE][k + 3];
mdct_enc[k * 3 + 9] = band0[(9 + k) * 32] * w - band0[(8 - k) * 32];
mdct_enc[k * 3 + 18] = band0[(14 - k) * 32] * w + band0[(15 + k) * 32];
mdct_enc[k * 3 + 10] = band0[(15 + k) * 32] * w - band0[(14 - k) * 32];
mdct_enc[k * 3 + 19] = band1[(2 - k) * 32] * w + band1[(3 + k) * 32];
mdct_enc[k * 3 + 11] = band1[(3 + k) * 32] * w - band1[(2 - k) * 32];
mdct_enc[k * 3 + 20] = band1[(8 - k) * 32] * w + band1[(9 + k) * 32];