/* * 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 #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]; } 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 (cfg->mode_gr == 1) { memcpy(esv->sb_sample[ch][0], esv->sb_sample[ch][1], 576 * sizeof(FLOAT)); } } }