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/*****************************************************************************
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* adec_math.c: Inverse Discrete Cosine Transform and Pulse Code Modulation
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*****************************************************************************
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* Copyright (C) 1999, 2000 VideoLAN
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* $Id: adec_math.c,v 1.1 2001/11/13 12:09:18 henri Exp $
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* Authors: Michel Kaempf <maxx@via.ecp.fr>
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* Michel Lespinasse <walken@via.ecp.fr>
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* This program is free software; you can redistribute it and/or modify
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* it under the terms of the GNU General Public License as published by
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* the Free Software Foundation; either version 2 of the License, or
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* (at your option) any later version.
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* This program is distributed in the hope that it will be useful,
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* but WITHOUT ANY WARRANTY; without even the implied warranty of
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* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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* GNU General Public License for more details.
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* You should have received a copy of the GNU General Public License
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* along with this program; if not, write to the Free Software
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* Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA 02111, USA.
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*****************************************************************************/
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#include "int_types.h"
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#include "mpeg_adec_generic.h"
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/*****************************************************************************
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* DCT32: Fast 32 points Discrete Cosine Transform
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*****************************************************************************
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* 289 additions and multiplications
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* F(u)=alpha(u)*SUM(x=0, x<N) f(x)*cos((2x+1)u*pi/2N)
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* where alpha(u) = sqrt(2)/N if u=0, 2/N otherwise.
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* See fastdct.ps, and fast.tar.gz for a (Fortran :) implementation.
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*****************************************************************************/
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void DCT32(float *x, adec_bank_t *b)
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/* cosine coefficients */
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static const float c2 = .70710678118655;
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static const float c3 = .54119610014620;
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static const float c4 = -1.3065629648764;
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static const float c5 = .50979557910416;
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static const float c6 = .89997622313642;
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static const float c7 = -2.5629154477415;
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static const float c8 = -.60134488693505;
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static const float c9 = .50241928618816;
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static const float c10 = .56694403481636;
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static const float c11 = .78815462345125;
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static const float c12 = 1.7224470982383;
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static const float c13 = -5.1011486186892;
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static const float c14 = -1.0606776859903;
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static const float c15 = -.64682178335999;
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static const float c16 = -.52249861493969;
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static const float c17 = .50060299823520;
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static const float c18 = .51544730992262;
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static const float c19 = .55310389603444;
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static const float c20 = .62250412303566;
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static const float c21 = .74453627100230;
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static const float c22 = .97256823786196;
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static const float c23 = 1.4841646163142;
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static const float c24 = 3.4076084184687;
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static const float c25 = -10.190008123548;
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static const float c26 = -2.0577810099534;
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static const float c27 = -1.1694399334329;
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static const float c28 = -.83934964541553;
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static const float c29 = -.67480834145501;
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static const float c30 = -.58293496820613;
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static const float c31 = -.53104259108978;
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static const float c32 = -.50547095989754;
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/* temporary variables */
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float t1 , t2 , t3 , t4 , t5 , t6 , t7 , t8 ,
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t9 , t10 , t11 , t12 , t13 , t14 , t15 , t16 ,
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t17 , t18 , t19 , t20 , t21 , t22 , t23 , t24 ,
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t25 , t26 , t27 , t28 , t29 , t30 , t31 , t32 ,
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tt1 , tt2 , tt3 , tt4 , tt5 , tt6 , tt7 , tt8 ,
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tt9 , tt10, tt11, tt12, tt13, tt14, tt15, tt16,
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tt17, tt18, tt19, tt20, tt21, tt22, tt23, tt24,
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tt25, tt26, tt27, tt28, tt29, tt30, tt31, tt32, *y;
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/* We unrolled the loops */
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/* Odd-even ordering is integrated before the 1st stage */
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t17 = c17 * (x[0] - x[31]);
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t18 = c18 * (x[2] - x[29]);
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t19 = c19 * (x[4] - x[27]);
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t20 = c20 * (x[6] - x[25]);
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t21 = c21 * (x[8] - x[23]);
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t22 = c22 * (x[10] - x[21]);
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t23 = c23 * (x[12] - x[19]);
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t24 = c24 * (x[14] - x[17]);
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t25 = c25 * (x[16] - x[15]);
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t26 = c26 * (x[18] - x[13]);
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t27 = c27 * (x[20] - x[11]);
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t28 = c28 * (x[22] - x[9]);
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t29 = c29 * (x[24] - x[7]);
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t30 = c30 * (x[26] - x[5]);
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t31 = c31 * (x[28] - x[3]);
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t32 = c32 * (x[30] - x[1]);
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tt9 = c9 * (t1 - t9);
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tt10 = c10 * (t2 - t10);
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tt11 = c11 * (t3 - t11);
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tt12 = c12 * (t4 - t12);
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tt13 = c13 * (t5 - t13);
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tt14 = c14 * (t6 - t14);
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tt15 = c15 * (t7 - t15);
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tt16 = c16 * (t8 - t16);
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tt25 = c9 * (t17 - t25);
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tt26 = c10 * (t18 - t26);
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tt27 = c11 * (t19 - t27);
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tt28 = c12 * (t20 - t28);
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tt29 = c13 * (t21 - t29);
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tt30 = c14 * (t22 - t30);
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tt31 = c15 * (t23 - t31);
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tt32 = c16 * (t24 - t32);
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t5 = c5 * (tt1 - tt5);
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t6 = c6 * (tt2 - tt6);
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t7 = c7 * (tt3 - tt7);
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t8 = c8 * (tt4 - tt8);
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t13 = c5 * (tt9 - tt13);
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t14 = c6 * (tt10 - tt14);
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t15 = c7 * (tt11 - tt15);
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t16 = c8 * (tt12 - tt16);
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t21 = c5 * (tt17 - tt21);
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t22 = c6 * (tt18 - tt22);
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t23 = c7 * (tt19 - tt23);
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t24 = c8 * (tt20 - tt24);
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t29 = c5 * (tt25 - tt29);
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t30 = c6 * (tt26 - tt30);
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t31 = c7 * (tt27 - tt31);
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t32 = c8 * (tt28 - tt32);
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tt3 = c3 * (t1 - t3);
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tt4 = c4 * (t2 - t4);
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tt7 = c3 * (t5 - t7);
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tt8 = c4 * (t6 - t8);
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tt11 = c3 * (t9 - t11);
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tt12 = c4 * (t10 - t12);
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tt15 = c3 * (t13 - t15);
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tt16 = c4 * (t14 - t16);
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tt19 = c3 * (t17 - t19);
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tt20 = c4 * (t18 - t20);
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tt23 = c3 * (t21 - t23);
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tt24 = c4 * (t22 - t24);
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tt27 = c3 * (t25 - t27);
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tt28 = c4 * (t26 - t28);
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tt31 = c3 * (t29 - t31);
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tt32 = c4 * (t30 - t32);
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/* Bit-reverse ordering is integrated after the 5th stage */
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/* Begin to split the result of the DCT (t1 to t32) in the filter bank */
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x = b->actual + b->pos;
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y = (b->actual == b->v1 ? b->v2 : b->v1) + b->pos;
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x[0] = -(y[0] = c2 * (tt1 - tt2)); /* t17 */
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x[256] = 0; y[256] = tt1 + tt2; /* t1 */
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t25 = c2 * (tt3 - tt4);
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t21 = c2 * (tt5 - tt6);
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t29 = c2 * (tt7 - tt8);
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t19 = c2 * (tt9 - tt10);
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t27 = c2 * (tt11 - tt12);
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t23 = c2 * (tt13 - tt14);
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t31 = c2 * (tt15 - tt16);
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t18 = c2 * (tt17 - tt18);
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t26 = c2 * (tt19 - tt20);
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t22 = c2 * (tt21 - tt22);
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t30 = c2 * (tt23 - tt24);
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t20 = c2 * (tt25 - tt26);
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t28 = c2 * (tt27 - tt28);
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t24 = c2 * (tt29 - tt30);
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t32 = c2 * (tt31 - tt32);
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/* Keep on splitting the result */
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y[384] = y[128] = t9 - (x[128] = -(x[384] = t25)); /* t25, t9 */
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y[320] = y[192] = t5 + t13; /* t5 */
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y[448] = y[64] = t13 + t21; /* t13 */
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x[64] = -(x[448] = t21 - (x[192] = -(x[320] = t29))); /* t29, t21 */
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y[288] = y[224] = t3 + t7; /* t3 */
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y[352] = y[160] = t7 + t11; /* t7 */
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y[416] = y[96] = t11 + t15; /* t11 */
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y[480] = y[32] = t15 + t19; /* t15 */
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x[32] = -(x[480] = t19 + t23); /* t19 */
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x[96] = -(x[416] = t23 + t27); /* t23 */
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x[160] = -(x[352] = t27 - (x[224] = -(x[288] = t31))); /* t31, t27 */
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y[272] = y[240] = t2 + t4; /* t2 */
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y[304] = y[208] = t4 + t6; /* t4 */
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y[336] = y[176] = t6 + t8; /* t6 */
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y[368] = y[144] = t8 + t10; /* t8 */
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y[400] = y[112] = t10 + t12; /* t10 */
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y[432] = y[80] = t12 + t14; /* t12 */
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y[464] = y[48] = t14 + t16; /* t14 */
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y[496] = y[16] = t16 + t18; /* t16 */
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x[16] = -(x[496] = t18 + t20); /* t18 */
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x[48] = -(x[464] = t20 + t22); /* t20 */
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x[80] = -(x[432] = t22 + t24); /* t22 */
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x[112] = -(x[400] = t24 + t26); /* t24 */
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x[144] = -(x[368] = t26 + t28); /* t26 */
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x[176] = -(x[336] = t28 + t30); /* t28 */
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x[208] = -(x[304] = t30 - (x[240] = -(x[272] = t32))); /* t32, t30 */
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/* Note that to be really complete, the DCT should multiply t1 by sqrt(2)/N
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and t2 to t32 by 2/N, and would take 321 additions and multiplications.
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But that's unuseful in this application. */
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/*****************************************************************************
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* PCM: Pulse Code Modulation
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*****************************************************************************
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* Compute 32 PCM samples with a convolution product
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*****************************************************************************/
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void PCM(adec_bank_t *b, s16 **pcm, int jump)
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/* These values are not in the same order as in Annex 3-B.3 of the ISO/IEC
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static const float c[512] =
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0.000000000 * F, -0.000442505 * F, 0.003250122 * F, -0.007003784 * F,
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0.031082153 * F, -0.078628540 * F, 0.100311279 * F, -0.572036743 * F,
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1.144989014 * F, 0.572036743 * F, 0.100311279 * F, 0.078628540 * F,
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0.031082153 * F, 0.007003784 * F, 0.003250122 * F, 0.000442505 * F,
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-0.000015259 * F, -0.000473022 * F, 0.003326416 * F, -0.007919312 * F,
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0.030517578 * F, -0.084182739 * F, 0.090927124 * F, -0.600219727 * F,
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1.144287109 * F, 0.543823242 * F, 0.108856201 * F, 0.073059082 * F,
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0.031478882 * F, 0.006118774 * F, 0.003173828 * F, 0.000396729 * F,
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-0.000015259 * F, -0.000534058 * F, 0.003387451 * F, -0.008865356 * F,
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0.029785156 * F, -0.089706421 * F, 0.080688477 * F, -0.628295898 * F,
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1.142211914 * F, 0.515609741 * F, 0.116577148 * F, 0.067520142 * F,
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0.031738281 * F, 0.005294800 * F, 0.003082275 * F, 0.000366211 * F,
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-0.000015259 * F, -0.000579834 * F, 0.003433228 * F, -0.009841919 * F,
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0.028884888 * F, -0.095169067 * F, 0.069595337 * F, -0.656219482 * F,
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1.138763428 * F, 0.487472534 * F, 0.123474121 * F, 0.061996460 * F,
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0.031845093 * F, 0.004486084 * F, 0.002990723 * F, 0.000320435 * F,
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-0.000015259 * F, -0.000625610 * F, 0.003463745 * F, -0.010848999 * F,
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0.027801514 * F, -0.100540161 * F, 0.057617188 * F, -0.683914185 * F,
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1.133926392 * F, 0.459472656 * F, 0.129577637 * F, 0.056533813 * F,
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0.031814575 * F, 0.003723145 * F, 0.002899170 * F, 0.000289917 * F,
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-0.000015259 * F, -0.000686646 * F, 0.003479004 * F, -0.011886597 * F,
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0.026535034 * F, -0.105819702 * F, 0.044784546 * F, -0.711318970 * F,
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1.127746582 * F, 0.431655884 * F, 0.134887695 * F, 0.051132202 * F,
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0.031661987 * F, 0.003005981 * F, 0.002792358 * F, 0.000259399 * F,
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-0.000015259 * F, -0.000747681 * F, 0.003479004 * F, -0.012939453 * F,
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0.025085449 * F, -0.110946655 * F, 0.031082153 * F, -0.738372803 * F,
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1.120223999 * F, 0.404083252 * F, 0.139450073 * F, 0.045837402 * F,
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0.031387329 * F, 0.002334595 * F, 0.002685547 * F, 0.000244141 * F,
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-0.000030518 * F, -0.000808716 * F, 0.003463745 * F, -0.014022827 * F,
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0.023422241 * F, -0.115921021 * F, 0.016510010 * F, -0.765029907 * F,
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1.111373901 * F, 0.376800537 * F, 0.143264771 * F, 0.040634155 * F,
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0.031005859 * F, 0.001693726 * F, 0.002578735 * F, 0.000213623 * F,
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-0.000030518 * F, -0.000885010 * F, 0.003417969 * F, -0.015121460 * F,
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0.021575928 * F, -0.120697021 * F, 0.001068115 * F, -0.791213989 * F,
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1.101211548 * F, 0.349868774 * F, 0.146362305 * F, 0.035552979 * F,
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0.030532837 * F, 0.001098633 * F, 0.002456665 * F, 0.000198364 * F,
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-0.000030518 * F, -0.000961304 * F, 0.003372192 * F, -0.016235352 * F,
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0.019531250 * F, -0.125259399 * F, -0.015228271 * F, -0.816864014 * F,
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1.089782715 * F, 0.323318481 * F, 0.148773193 * F, 0.030609131 * F,
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0.029937744 * F, 0.000549316 * F, 0.002349854 * F, 0.000167847 * F,
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-0.000030518 * F, -0.001037598 * F, 0.003280640 * F, -0.017349243 * F,
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0.017257690 * F, -0.129562378 * F, -0.032379150 * F, -0.841949463 * F,
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1.077117920 * F, 0.297210693 * F, 0.150497437 * F, 0.025817871 * F,
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0.029281616 * F, 0.000030518 * F, 0.002243042 * F, 0.000152588 * F,
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-0.000045776 * F, -0.001113892 * F, 0.003173828 * F, -0.018463135 * F,
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0.014801025 * F, -0.133590698 * F, -0.050354004 * F, -0.866363525 * F,
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1.063217163 * F, 0.271591187 * F, 0.151596069 * F, 0.021179199 * F,
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0.028533936 * F, -0.000442505 * F, 0.002120972 * F, 0.000137329 * F,
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-0.000045776 * F, -0.001205444 * F, 0.003051758 * F, -0.019577026 * F,
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0.012115479 * F, -0.137298584 * F, -0.069168091 * F, -0.890090942 * F,
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1.048156738 * F, 0.246505737 * F, 0.152069092 * F, 0.016708374 * F,
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0.027725220 * F, -0.000869751 * F, 0.002014160 * F, 0.000122070 * F,
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-0.000061035 * F, -0.001296997 * F, 0.002883911 * F, -0.020690918 * F,
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0.009231567 * F, -0.140670776 * F, -0.088775635 * F, -0.913055420 * F,
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1.031936646 * F, 0.221984863 * F, 0.151962280 * F, 0.012420654 * F,
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0.026840210 * F, -0.001266479 * F, 0.001907349 * F, 0.000106812 * F,
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-0.000061035 * F, -0.001388550 * F, 0.002700806 * F, -0.021789551 * F,
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0.006134033 * F, -0.143676758 * F, -0.109161377 * F, -0.935195923 * F,
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1.014617920 * F, 0.198059082 * F, 0.151306152 * F, 0.008316040 * F,
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0.025909424 * F, -0.001617432 * F, 0.001785278 * F, 0.000106812 * F,
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-0.000076294 * F, -0.001480103 * F, 0.002487183 * F, -0.022857666 * F,
383
0.002822876 * F, -0.146255493 * F, -0.130310059 * F, -0.956481934 * F,
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0.996246338 * F, 0.174789429 * F, 0.150115967 * F, 0.004394531 * F,
385
0.024932861 * F, -0.001937866 * F, 0.001693726 * F, 0.000091553 * F,
386
-0.000076294 * F, -0.001586914 * F, 0.002227783 * F, -0.023910522 * F,
387
-0.000686646 * F, -0.148422241 * F, -0.152206421 * F, -0.976852417 * F,
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0.976852417 * F, 0.152206421 * F, 0.148422241 * F, 0.000686646 * F,
389
0.023910522 * F, -0.002227783 * F, 0.001586914 * F, 0.000076294 * F,
390
-0.000091553 * F, -0.001693726 * F, 0.001937866 * F, -0.024932861 * F,
391
-0.004394531 * F, -0.150115967 * F, -0.174789429 * F, -0.996246338 * F,
392
0.956481934 * F, 0.130310059 * F, 0.146255493 * F, -0.002822876 * F,
393
0.022857666 * F, -0.002487183 * F, 0.001480103 * F, 0.000076294 * F,
394
-0.000106812 * F, -0.001785278 * F, 0.001617432 * F, -0.025909424 * F,
395
-0.008316040 * F, -0.151306152 * F, -0.198059082 * F, -1.014617920 * F,
396
0.935195923 * F, 0.109161377 * F, 0.143676758 * F, -0.006134033 * F,
397
0.021789551 * F, -0.002700806 * F, 0.001388550 * F, 0.000061035 * F,
398
-0.000106812 * F, -0.001907349 * F, 0.001266479 * F, -0.026840210 * F,
399
-0.012420654 * F, -0.151962280 * F, -0.221984863 * F, -1.031936646 * F,
400
0.913055420 * F, 0.088775635 * F, 0.140670776 * F, -0.009231567 * F,
401
0.020690918 * F, -0.002883911 * F, 0.001296997 * F, 0.000061035 * F,
402
-0.000122070 * F, -0.002014160 * F, 0.000869751 * F, -0.027725220 * F,
403
-0.016708374 * F, -0.152069092 * F, -0.246505737 * F, -1.048156738 * F,
404
0.890090942 * F, 0.069168091 * F, 0.137298584 * F, -0.012115479 * F,
405
0.019577026 * F, -0.003051758 * F, 0.001205444 * F, 0.000045776 * F,
406
-0.000137329 * F, -0.002120972 * F, 0.000442505 * F, -0.028533936 * F,
407
-0.021179199 * F, -0.151596069 * F, -0.271591187 * F, -1.063217163 * F,
408
0.866363525 * F, 0.050354004 * F, 0.133590698 * F, -0.014801025 * F,
409
0.018463135 * F, -0.003173828 * F, 0.001113892 * F, 0.000045776 * F,
410
-0.000152588 * F, -0.002243042 * F, -0.000030518 * F, -0.029281616 * F,
411
-0.025817871 * F, -0.150497437 * F, -0.297210693 * F, -1.077117920 * F,
412
0.841949463 * F, 0.032379150 * F, 0.129562378 * F, -0.017257690 * F,
413
0.017349243 * F, -0.003280640 * F, 0.001037598 * F, 0.000030518 * F,
414
-0.000167847 * F, -0.002349854 * F, -0.000549316 * F, -0.029937744 * F,
415
-0.030609131 * F, -0.148773193 * F, -0.323318481 * F, -1.089782715 * F,
416
0.816864014 * F, 0.015228271 * F, 0.125259399 * F, -0.019531250 * F,
417
0.016235352 * F, -0.003372192 * F, 0.000961304 * F, 0.000030518 * F,
418
-0.000198364 * F, -0.002456665 * F, -0.001098633 * F, -0.030532837 * F,
419
-0.035552979 * F, -0.146362305 * F, -0.349868774 * F, -1.101211548 * F,
420
0.791213989 * F, -0.001068115 * F, 0.120697021 * F, -0.021575928 * F,
421
0.015121460 * F, -0.003417969 * F, 0.000885010 * F, 0.000030518 * F,
422
-0.000213623 * F, -0.002578735 * F, -0.001693726 * F, -0.031005859 * F,
423
-0.040634155 * F, -0.143264771 * F, -0.376800537 * F, -1.111373901 * F,
424
0.765029907 * F, -0.016510010 * F, 0.115921021 * F, -0.023422241 * F,
425
0.014022827 * F, -0.003463745 * F, 0.000808716 * F, 0.000030518 * F,
426
-0.000244141 * F, -0.002685547 * F, -0.002334595 * F, -0.031387329 * F,
427
-0.045837402 * F, -0.139450073 * F, -0.404083252 * F, -1.120223999 * F,
428
0.738372803 * F, -0.031082153 * F, 0.110946655 * F, -0.025085449 * F,
429
0.012939453 * F, -0.003479004 * F, 0.000747681 * F, 0.000015259 * F,
430
-0.000259399 * F, -0.002792358 * F, -0.003005981 * F, -0.031661987 * F,
431
-0.051132202 * F, -0.134887695 * F, -0.431655884 * F, -1.127746582 * F,
432
0.711318970 * F, -0.044784546 * F, 0.105819702 * F, -0.026535034 * F,
433
0.011886597 * F, -0.003479004 * F, 0.000686646 * F, 0.000015259 * F,
434
-0.000289917 * F, -0.002899170 * F, -0.003723145 * F, -0.031814575 * F,
435
-0.056533813 * F, -0.129577637 * F, -0.459472656 * F, -1.133926392 * F,
436
0.683914185 * F, -0.057617188 * F, 0.100540161 * F, -0.027801514 * F,
437
0.010848999 * F, -0.003463745 * F, 0.000625610 * F, 0.000015259 * F,
438
-0.000320435 * F, -0.002990723 * F, -0.004486084 * F, -0.031845093 * F,
439
-0.061996460 * F, -0.123474121 * F, -0.487472534 * F, -1.138763428 * F,
440
0.656219482 * F, -0.069595337 * F, 0.095169067 * F, -0.028884888 * F,
441
0.009841919 * F, -0.003433228 * F, 0.000579834 * F, 0.000015259 * F,
442
-0.000366211 * F, -0.003082275 * F, -0.005294800 * F, -0.031738281 * F,
443
-0.067520142 * F, -0.116577148 * F, -0.515609741 * F, -1.142211914 * F,
444
0.628295898 * F, -0.080688477 * F, 0.089706421 * F, -0.029785156 * F,
445
0.008865356 * F, -0.003387451 * F, 0.000534058 * F, 0.000015259 * F,
446
-0.000396729 * F, -0.003173828 * F, -0.006118774 * F, -0.031478882 * F,
447
-0.073059082 * F, -0.108856201 * F, -0.543823242 * F, -1.144287109 * F,
448
0.600219727 * F, -0.090927124 * F, 0.084182739 * F, -0.030517578 * F,
449
0.007919312 * F, -0.003326416 * F, 0.000473022 * F, 0.000015259 * F
480
if ((tmp += *f++ * *v) > 32767)
482
/* ceiling saturation */
485
else if (tmp < -32768)
487
/* floor saturation */
518
if ((tmp += *f++ * *v) > 32767)
522
else if (tmp < -32768)
554
if ((tmp += *f++ * *v) > 32767)
558
else if (tmp < -32768)
590
if ((tmp += *f++ * *v) > 32767)
594
else if (tmp < -32768)
626
if ((tmp += *f++ * *v) > 32767)
630
else if (tmp < -32768)
662
if ((tmp += *f++ * *v) > 32767)
666
else if (tmp < -32768)
698
if ((tmp += *f++ * *v) > 32767)
702
else if (tmp < -32768)
734
if ((tmp += *f++ * *v) > 32767)
738
else if (tmp < -32768)
770
if ((tmp += *f++ * *v) > 32767)
774
else if (tmp < -32768)
806
if ((tmp += *f++ * *v) > 32767)
810
else if (tmp < -32768)
842
if ((tmp += *f++ * *v) > 32767)
846
else if (tmp < -32768)
878
if ((tmp += *f++ * *v) > 32767)
882
else if (tmp < -32768)
914
if ((tmp += *f++ * *v) > 32767)
918
else if (tmp < -32768)
950
if ((tmp += *f++ * *v) > 32767)
954
else if (tmp < -32768)
986
if ((tmp += *f++ * *v) > 32767)
990
else if (tmp < -32768)
1004
for (i=0; i<32; i++)
1021
if ((tmp += *f++ * *v) > 32767)
1025
else if (tmp < -32768)
1039
/* Set the next position in the filter bank */
1042
b->actual = (b->actual == b->v1 ? b->v2 : b->v1);