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newmdct.c

/*
 *      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 1.37 2008/04/22 23:01:22 robert 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)
{
    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 < gfc->channels_out; ch++) {
        for (gr = 0; gr < gfc->mode_gr; gr++) {
            int     band;
            gr_info *const gi = &(gfc->l3_side.tt[gr][ch]);
            FLOAT  *mdct_enc = gi->xr;
            FLOAT  *samp = gfc->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 = gfc->sb_sample[ch][gr][0] + order[band];
                FLOAT  *const band1 = gfc->sb_sample[ch][1 - gr][0] + order[band];
                if (gi->mixed_block_flag && band < 2)
                    type = 0;
                if (gfc->amp_filter[band] < 1e-12) {
                    memset(mdct_enc, 0, 18 * sizeof(FLOAT));
                }
                else {
                    if (gfc->amp_filter[band] < 1.0) {
                        for (k = 0; k < 18; k++)
                            band1[k * 32] *= gfc->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];
                        }
                        mdct_short(mdct_enc);
                    }
                    else {
                        FLOAT   work[18];
                        for (k = -NL / 4; k < 0; k++) {
                            FLOAT   a, b;
                            a = win[type][k + 27] * band1[(k + 9) * 32]
                                + win[type][k + 36] * band1[(8 - k) * 32];
                            b = win[type][k + 9] * band0[(k + 9) * 32]
                                - win[type][k + 18] * band0[(8 - k) * 32];
                            work[k + 9] = a - b * tantab_l[k + 9];
                            work[k + 18] = a * tantab_l[k + 9] + b;
                        }

                        mdct_long(mdct_enc, work);
                    }
                }
                /*
                 * Perform aliasing reduction butterfly
                 */
                if (type != SHORT_TYPE && band != 0) {
                    for (k = 7; k >= 0; --k) {
                        FLOAT   bu, bd;
                        bu = mdct_enc[k] * ca[k] + mdct_enc[-1 - k] * cs[k];
                        bd = mdct_enc[k] * cs[k] - mdct_enc[-1 - k] * ca[k];

                        mdct_enc[-1 - k] = bu;
                        mdct_enc[k] = bd;
                    }
                }
            }
        }
        wk = w1 + 286;
        if (gfc->mode_gr == 1) {
            memcpy(gfc->sb_sample[ch][0], gfc->sb_sample[ch][1], 576 * sizeof(FLOAT));
        }
    }
}

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