/src/aac/libSBRdec/src/hbe.cpp

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/* -----------------------------------------------------------------------------
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----------------------------------------------------------------------------- */

/**************************** SBR decoder library ******************************

   Author(s):

   Description:

*******************************************************************************/

/*!
  \file
  \brief  Fast FFT routines prototypes
  \author Fabian Haussel
*/

#include "hbe.h"
#include "qmf.h"
#include "env_extr.h"

#define HBE_MAX_QMF_BANDS (40)

#define HBE_MAX_OUT_SLOTS (11)

#define QMF_WIN_LEN                                                          \
  (12 + 6 - 4 - 1) /* 6 subband slots extra delay to align with HQ - 4 slots \
                      to compensate for critical sampling delay - 1 slot to  \
                      align critical sampling exactly (w additional time     \
                      domain delay)*/

#ifndef PI
#define PI 3.14159265358979323846
#endif

static const int xProducts[MAX_STRETCH_HBE - 1] = {
    1, 1, 1}; /* Cross products on(1)/off(0) for T=2,3,4. */
static const int startSubband2kL[33] = {
    0, 0, 0, 0, 0, 0, 0,  2,  2,  2,  4,  4,  4,  4,  4,  6, 6,
    6, 8, 8, 8, 8, 8, 10, 10, 10, 12, 12, 12, 12, 12, 12, 12};

static const int pmin = 12;

static const FIXP_DBL hintReal_F[4][3] = {
    {FL2FXCONST_DBL(0.39840335f), FL2FXCONST_DBL(0.39840335f),
     FL2FXCONST_DBL(-0.39840335f)},
    {FL2FXCONST_DBL(0.39840335f), FL2FXCONST_DBL(-0.39840335f),
     FL2FXCONST_DBL(-0.39840335f)},
    {FL2FXCONST_DBL(-0.39840335f), FL2FXCONST_DBL(-0.39840335f),
     FL2FXCONST_DBL(0.39840335f)},
    {FL2FXCONST_DBL(-0.39840335f), FL2FXCONST_DBL(0.39840335f),
     FL2FXCONST_DBL(0.39840335f)}};

static const FIXP_DBL factors[4] = {
    FL2FXCONST_DBL(0.39840335f), FL2FXCONST_DBL(-0.39840335f),
    FL2FXCONST_DBL(-0.39840335f), FL2FXCONST_DBL(0.39840335f)};

#define PSCALE 32

static const FIXP_DBL p_F[128] = {FL2FXCONST_DBL(0.f / (PSCALE * 12.f)),
                                  FL2FXCONST_DBL(1.f / (PSCALE * 12.f)),
                                  FL2FXCONST_DBL(2.f / (PSCALE * 12.f)),
                                  FL2FXCONST_DBL(3.f / (PSCALE * 12.f)),
                                  FL2FXCONST_DBL(4.f / (PSCALE * 12.f)),
                                  FL2FXCONST_DBL(5.f / (PSCALE * 12.f)),
                                  FL2FXCONST_DBL(6.f / (PSCALE * 12.f)),
                                  FL2FXCONST_DBL(7.f / (PSCALE * 12.f)),
                                  FL2FXCONST_DBL(8.f / (PSCALE * 12.f)),
                                  FL2FXCONST_DBL(9.f / (PSCALE * 12.f)),
                                  FL2FXCONST_DBL(10.f / (PSCALE * 12.f)),
                                  FL2FXCONST_DBL(11.f / (PSCALE * 12.f)),
                                  FL2FXCONST_DBL(12.f / (PSCALE * 12.f)),
                                  FL2FXCONST_DBL(13.f / (PSCALE * 12.f)),
                                  FL2FXCONST_DBL(14.f / (PSCALE * 12.f)),
                                  FL2FXCONST_DBL(15.f / (PSCALE * 12.f)),
                                  FL2FXCONST_DBL(16.f / (PSCALE * 12.f)),
                                  FL2FXCONST_DBL(17.f / (PSCALE * 12.f)),
                                  FL2FXCONST_DBL(18.f / (PSCALE * 12.f)),
                                  FL2FXCONST_DBL(19.f / (PSCALE * 12.f)),
                                  FL2FXCONST_DBL(20.f / (PSCALE * 12.f)),
                                  FL2FXCONST_DBL(21.f / (PSCALE * 12.f)),
                                  FL2FXCONST_DBL(22.f / (PSCALE * 12.f)),
                                  FL2FXCONST_DBL(23.f / (PSCALE * 12.f)),
                                  FL2FXCONST_DBL(24.f / (PSCALE * 12.f)),
                                  FL2FXCONST_DBL(25.f / (PSCALE * 12.f)),
                                  FL2FXCONST_DBL(26.f / (PSCALE * 12.f)),
                                  FL2FXCONST_DBL(27.f / (PSCALE * 12.f)),
                                  FL2FXCONST_DBL(28.f / (PSCALE * 12.f)),
                                  FL2FXCONST_DBL(29.f / (PSCALE * 12.f)),
                                  FL2FXCONST_DBL(30.f / (PSCALE * 12.f)),
                                  FL2FXCONST_DBL(31.f / (PSCALE * 12.f)),
                                  FL2FXCONST_DBL(32.f / (PSCALE * 12.f)),
                                  FL2FXCONST_DBL(33.f / (PSCALE * 12.f)),
                                  FL2FXCONST_DBL(34.f / (PSCALE * 12.f)),
                                  FL2FXCONST_DBL(35.f / (PSCALE * 12.f)),
                                  FL2FXCONST_DBL(36.f / (PSCALE * 12.f)),
                                  FL2FXCONST_DBL(37.f / (PSCALE * 12.f)),
                                  FL2FXCONST_DBL(38.f / (PSCALE * 12.f)),
                                  FL2FXCONST_DBL(39.f / (PSCALE * 12.f)),
                                  FL2FXCONST_DBL(40.f / (PSCALE * 12.f)),
                                  FL2FXCONST_DBL(41.f / (PSCALE * 12.f)),
                                  FL2FXCONST_DBL(42.f / (PSCALE * 12.f)),
                                  FL2FXCONST_DBL(43.f / (PSCALE * 12.f)),
                                  FL2FXCONST_DBL(44.f / (PSCALE * 12.f)),
                                  FL2FXCONST_DBL(45.f / (PSCALE * 12.f)),
                                  FL2FXCONST_DBL(46.f / (PSCALE * 12.f)),
                                  FL2FXCONST_DBL(47.f / (PSCALE * 12.f)),
                                  FL2FXCONST_DBL(48.f / (PSCALE * 12.f)),
                                  FL2FXCONST_DBL(49.f / (PSCALE * 12.f)),
                                  FL2FXCONST_DBL(50.f / (PSCALE * 12.f)),
                                  FL2FXCONST_DBL(51.f / (PSCALE * 12.f)),
                                  FL2FXCONST_DBL(52.f / (PSCALE * 12.f)),
                                  FL2FXCONST_DBL(53.f / (PSCALE * 12.f)),
                                  FL2FXCONST_DBL(54.f / (PSCALE * 12.f)),
                                  FL2FXCONST_DBL(55.f / (PSCALE * 12.f)),
                                  FL2FXCONST_DBL(56.f / (PSCALE * 12.f)),
                                  FL2FXCONST_DBL(57.f / (PSCALE * 12.f)),
                                  FL2FXCONST_DBL(58.f / (PSCALE * 12.f)),
                                  FL2FXCONST_DBL(59.f / (PSCALE * 12.f)),
                                  FL2FXCONST_DBL(60.f / (PSCALE * 12.f)),
                                  FL2FXCONST_DBL(61.f / (PSCALE * 12.f)),
                                  FL2FXCONST_DBL(62.f / (PSCALE * 12.f)),
                                  FL2FXCONST_DBL(63.f / (PSCALE * 12.f)),
                                  FL2FXCONST_DBL(64.f / (PSCALE * 12.f)),
                                  FL2FXCONST_DBL(65.f / (PSCALE * 12.f)),
                                  FL2FXCONST_DBL(66.f / (PSCALE * 12.f)),
                                  FL2FXCONST_DBL(67.f / (PSCALE * 12.f)),
                                  FL2FXCONST_DBL(68.f / (PSCALE * 12.f)),
                                  FL2FXCONST_DBL(69.f / (PSCALE * 12.f)),
                                  FL2FXCONST_DBL(70.f / (PSCALE * 12.f)),
                                  FL2FXCONST_DBL(71.f / (PSCALE * 12.f)),
                                  FL2FXCONST_DBL(72.f / (PSCALE * 12.f)),
                                  FL2FXCONST_DBL(73.f / (PSCALE * 12.f)),
                                  FL2FXCONST_DBL(74.f / (PSCALE * 12.f)),
                                  FL2FXCONST_DBL(75.f / (PSCALE * 12.f)),
                                  FL2FXCONST_DBL(76.f / (PSCALE * 12.f)),
                                  FL2FXCONST_DBL(77.f / (PSCALE * 12.f)),
                                  FL2FXCONST_DBL(78.f / (PSCALE * 12.f)),
                                  FL2FXCONST_DBL(79.f / (PSCALE * 12.f)),
                                  FL2FXCONST_DBL(80.f / (PSCALE * 12.f)),
                                  FL2FXCONST_DBL(81.f / (PSCALE * 12.f)),
                                  FL2FXCONST_DBL(82.f / (PSCALE * 12.f)),
                                  FL2FXCONST_DBL(83.f / (PSCALE * 12.f)),
                                  FL2FXCONST_DBL(84.f / (PSCALE * 12.f)),
                                  FL2FXCONST_DBL(85.f / (PSCALE * 12.f)),
                                  FL2FXCONST_DBL(86.f / (PSCALE * 12.f)),
                                  FL2FXCONST_DBL(87.f / (PSCALE * 12.f)),
                                  FL2FXCONST_DBL(88.f / (PSCALE * 12.f)),
                                  FL2FXCONST_DBL(89.f / (PSCALE * 12.f)),
                                  FL2FXCONST_DBL(90.f / (PSCALE * 12.f)),
                                  FL2FXCONST_DBL(91.f / (PSCALE * 12.f)),
                                  FL2FXCONST_DBL(92.f / (PSCALE * 12.f)),
                                  FL2FXCONST_DBL(93.f / (PSCALE * 12.f)),
                                  FL2FXCONST_DBL(94.f / (PSCALE * 12.f)),
                                  FL2FXCONST_DBL(95.f / (PSCALE * 12.f)),
                                  FL2FXCONST_DBL(96.f / (PSCALE * 12.f)),
                                  FL2FXCONST_DBL(97.f / (PSCALE * 12.f)),
                                  FL2FXCONST_DBL(98.f / (PSCALE * 12.f)),
                                  FL2FXCONST_DBL(99.f / (PSCALE * 12.f)),
                                  FL2FXCONST_DBL(100.f / (PSCALE * 12.f)),
                                  FL2FXCONST_DBL(101.f / (PSCALE * 12.f)),
                                  FL2FXCONST_DBL(102.f / (PSCALE * 12.f)),
                                  FL2FXCONST_DBL(103.f / (PSCALE * 12.f)),
                                  FL2FXCONST_DBL(104.f / (PSCALE * 12.f)),
                                  FL2FXCONST_DBL(105.f / (PSCALE * 12.f)),
                                  FL2FXCONST_DBL(106.f / (PSCALE * 12.f)),
                                  FL2FXCONST_DBL(107.f / (PSCALE * 12.f)),
                                  FL2FXCONST_DBL(108.f / (PSCALE * 12.f)),
                                  FL2FXCONST_DBL(109.f / (PSCALE * 12.f)),
                                  FL2FXCONST_DBL(110.f / (PSCALE * 12.f)),
                                  FL2FXCONST_DBL(111.f / (PSCALE * 12.f)),
                                  FL2FXCONST_DBL(112.f / (PSCALE * 12.f)),
                                  FL2FXCONST_DBL(113.f / (PSCALE * 12.f)),
                                  FL2FXCONST_DBL(114.f / (PSCALE * 12.f)),
                                  FL2FXCONST_DBL(115.f / (PSCALE * 12.f)),
                                  FL2FXCONST_DBL(116.f / (PSCALE * 12.f)),
                                  FL2FXCONST_DBL(117.f / (PSCALE * 12.f)),
                                  FL2FXCONST_DBL(118.f / (PSCALE * 12.f)),
                                  FL2FXCONST_DBL(119.f / (PSCALE * 12.f)),
                                  FL2FXCONST_DBL(120.f / (PSCALE * 12.f)),
                                  FL2FXCONST_DBL(121.f / (PSCALE * 12.f)),
                                  FL2FXCONST_DBL(122.f / (PSCALE * 12.f)),
                                  FL2FXCONST_DBL(123.f / (PSCALE * 12.f)),
                                  FL2FXCONST_DBL(124.f / (PSCALE * 12.f)),
                                  FL2FXCONST_DBL(125.f / (PSCALE * 12.f)),
                                  FL2FXCONST_DBL(126.f / (PSCALE * 12.f)),
                                  FL2FXCONST_DBL(127.f / (PSCALE * 12.f))};

static const FIXP_DBL band_F[64] = {
    FL2FXCONST_DBL((0.f * 2.f + 1) / (PSCALE << 2)),
    FL2FXCONST_DBL((1.f * 2.f + 1) / (PSCALE << 2)),
    FL2FXCONST_DBL((2.f * 2.f + 1) / (PSCALE << 2)),
    FL2FXCONST_DBL((3.f * 2.f + 1) / (PSCALE << 2)),
    FL2FXCONST_DBL((4.f * 2.f + 1) / (PSCALE << 2)),
    FL2FXCONST_DBL((5.f * 2.f + 1) / (PSCALE << 2)),
    FL2FXCONST_DBL((6.f * 2.f + 1) / (PSCALE << 2)),
    FL2FXCONST_DBL((7.f * 2.f + 1) / (PSCALE << 2)),
    FL2FXCONST_DBL((8.f * 2.f + 1) / (PSCALE << 2)),
    FL2FXCONST_DBL((9.f * 2.f + 1) / (PSCALE << 2)),
    FL2FXCONST_DBL((10.f * 2.f + 1) / (PSCALE << 2)),
    FL2FXCONST_DBL((11.f * 2.f + 1) / (PSCALE << 2)),
    FL2FXCONST_DBL((12.f * 2.f + 1) / (PSCALE << 2)),
    FL2FXCONST_DBL((13.f * 2.f + 1) / (PSCALE << 2)),
    FL2FXCONST_DBL((14.f * 2.f + 1) / (PSCALE << 2)),
    FL2FXCONST_DBL((15.f * 2.f + 1) / (PSCALE << 2)),
    FL2FXCONST_DBL((16.f * 2.f + 1) / (PSCALE << 2)),
    FL2FXCONST_DBL((17.f * 2.f + 1) / (PSCALE << 2)),
    FL2FXCONST_DBL((18.f * 2.f + 1) / (PSCALE << 2)),
    FL2FXCONST_DBL((19.f * 2.f + 1) / (PSCALE << 2)),
    FL2FXCONST_DBL((20.f * 2.f + 1) / (PSCALE << 2)),
    FL2FXCONST_DBL((21.f * 2.f + 1) / (PSCALE << 2)),
    FL2FXCONST_DBL((22.f * 2.f + 1) / (PSCALE << 2)),
    FL2FXCONST_DBL((23.f * 2.f + 1) / (PSCALE << 2)),
    FL2FXCONST_DBL((24.f * 2.f + 1) / (PSCALE << 2)),
    FL2FXCONST_DBL((25.f * 2.f + 1) / (PSCALE << 2)),
    FL2FXCONST_DBL((26.f * 2.f + 1) / (PSCALE << 2)),
    FL2FXCONST_DBL((27.f * 2.f + 1) / (PSCALE << 2)),
    FL2FXCONST_DBL((28.f * 2.f + 1) / (PSCALE << 2)),
    FL2FXCONST_DBL((29.f * 2.f + 1) / (PSCALE << 2)),
    FL2FXCONST_DBL((30.f * 2.f + 1) / (PSCALE << 2)),
    FL2FXCONST_DBL((31.f * 2.f + 1) / (PSCALE << 2)),
    FL2FXCONST_DBL((32.f * 2.f + 1) / (PSCALE << 2)),
    FL2FXCONST_DBL((33.f * 2.f + 1) / (PSCALE << 2)),
    FL2FXCONST_DBL((34.f * 2.f + 1) / (PSCALE << 2)),
    FL2FXCONST_DBL((35.f * 2.f + 1) / (PSCALE << 2)),
    FL2FXCONST_DBL((36.f * 2.f + 1) / (PSCALE << 2)),
    FL2FXCONST_DBL((37.f * 2.f + 1) / (PSCALE << 2)),
    FL2FXCONST_DBL((38.f * 2.f + 1) / (PSCALE << 2)),
    FL2FXCONST_DBL((39.f * 2.f + 1) / (PSCALE << 2)),
    FL2FXCONST_DBL((40.f * 2.f + 1) / (PSCALE << 2)),
    FL2FXCONST_DBL((41.f * 2.f + 1) / (PSCALE << 2)),
    FL2FXCONST_DBL((42.f * 2.f + 1) / (PSCALE << 2)),
    FL2FXCONST_DBL((43.f * 2.f + 1) / (PSCALE << 2)),
    FL2FXCONST_DBL((44.f * 2.f + 1) / (PSCALE << 2)),
    FL2FXCONST_DBL((45.f * 2.f + 1) / (PSCALE << 2)),
    FL2FXCONST_DBL((46.f * 2.f + 1) / (PSCALE << 2)),
    FL2FXCONST_DBL((47.f * 2.f + 1) / (PSCALE << 2)),
    FL2FXCONST_DBL((48.f * 2.f + 1) / (PSCALE << 2)),
    FL2FXCONST_DBL((49.f * 2.f + 1) / (PSCALE << 2)),
    FL2FXCONST_DBL((50.f * 2.f + 1) / (PSCALE << 2)),
    FL2FXCONST_DBL((51.f * 2.f + 1) / (PSCALE << 2)),
    FL2FXCONST_DBL((52.f * 2.f + 1) / (PSCALE << 2)),
    FL2FXCONST_DBL((53.f * 2.f + 1) / (PSCALE << 2)),
    FL2FXCONST_DBL((54.f * 2.f + 1) / (PSCALE << 2)),
    FL2FXCONST_DBL((55.f * 2.f + 1) / (PSCALE << 2)),
    FL2FXCONST_DBL((56.f * 2.f + 1) / (PSCALE << 2)),
    FL2FXCONST_DBL((57.f * 2.f + 1) / (PSCALE << 2)),
    FL2FXCONST_DBL((58.f * 2.f + 1) / (PSCALE << 2)),
    FL2FXCONST_DBL((59.f * 2.f + 1) / (PSCALE << 2)),
    FL2FXCONST_DBL((60.f * 2.f + 1) / (PSCALE << 2)),
    FL2FXCONST_DBL((61.f * 2.f + 1) / (PSCALE << 2)),
    FL2FXCONST_DBL((62.f * 2.f + 1) / (PSCALE << 2)),
    FL2FXCONST_DBL((63.f * 2.f + 1) / (PSCALE << 2))};

static const FIXP_DBL tr_str[3] = {FL2FXCONST_DBL(1.f / 4.f),
                                   FL2FXCONST_DBL(2.f / 4.f),
                                   FL2FXCONST_DBL(3.f / 4.f)};

static const FIXP_DBL stretchfac[3] = {FL2FXCONST_DBL(1.f / 2.f),
                                       FL2FXCONST_DBL(1.f / 3.f),
                                       FL2FXCONST_DBL(1.f / 4.f)};

static const FIXP_DBL cos_F[64] = {
    26353028,   -79043208,   131685776,  -184244944,  236697216,  -289006912,
    341142496,  -393072608,  444773984,  -496191392,  547325824,  -598114752,
    648559104,  -698597248,  748230016,  -797411904,  846083200,  -894275136,
    941928192,  -989013760,  1035474624, -1081340672, 1126555136, -1171063296,
    1214893696, -1257992192, 1300332544, -1341889408, 1382612736, -1422503808,
    1461586944, -1499741440, 1537039104, -1573364864, 1608743808, -1643196672,
    1676617344, -1709028992, 1740450560, -1770784896, 1800089472, -1828273536,
    1855357440, -1881356288, 1906190080, -1929876608, 1952428928, -1973777664,
    1993962880, -2012922240, 2030670208, -2047216000, 2062508288, -2076559488,
    2089376128, -2100932224, 2111196800, -2120214784, 2127953792, -2134394368,
    2139565056, -2143444864, 2146026624, -2147321856};

static const FIXP_DBL twiddle[121] = {1073741824,
                                      1071442860,
                                      1064555814,
                                      1053110176,
                                      1037154959,
                                      1016758484,
                                      992008094,
                                      963009773,
                                      929887697,
                                      892783698,
                                      851856663,
                                      807281846,
                                      759250125,
                                      707967178,
                                      653652607,
                                      596538995,
                                      536870912,
                                      474903865,
                                      410903207,
                                      345142998,
                                      277904834,
                                      209476638,
                                      140151432,
                                      70226075,
                                      0,
                                      -70226075,
                                      -140151432,
                                      -209476638,
                                      -277904834,
                                      -345142998,
                                      -410903207,
                                      -474903865,
                                      -536870912,
                                      -596538995,
                                      -653652607,
                                      -707967178,
                                      -759250125,
                                      -807281846,
                                      -851856663,
                                      -892783698,
                                      -929887697,
                                      -963009773,
                                      -992008094,
                                      -1016758484,
                                      -1037154959,
                                      -1053110176,
                                      -1064555814,
                                      -1071442860,
                                      -1073741824,
                                      -1071442860,
                                      -1064555814,
                                      -1053110176,
                                      -1037154959,
                                      -1016758484,
                                      -992008094,
                                      -963009773,
                                      -929887697,
                                      -892783698,
                                      -851856663,
                                      -807281846,
                                      -759250125,
                                      -707967178,
                                      -653652607,
                                      -596538995,
                                      -536870912,
                                      -474903865,
                                      -410903207,
                                      -345142998,
                                      -277904834,
                                      -209476638,
                                      -140151432,
                                      -70226075,
                                      0,
                                      70226075,
                                      140151432,
                                      209476638,
                                      277904834,
                                      345142998,
                                      410903207,
                                      474903865,
                                      536870912,
                                      596538995,
                                      653652607,
                                      707967178,
                                      759250125,
                                      807281846,
                                      851856663,
                                      892783698,
                                      929887697,
                                      963009773,
                                      992008094,
                                      1016758484,
                                      1037154959,
                                      1053110176,
                                      1064555814,
                                      1071442860,
                                      1073741824,
                                      1071442860,
                                      1064555814,
                                      1053110176,
                                      1037154959,
                                      1016758484,
                                      992008094,
                                      963009773,
                                      929887697,
                                      892783698,
                                      851856663,
                                      807281846,
                                      759250125,
                                      707967178,
                                      653652607,
                                      596538995,
                                      536870912,
                                      474903865,
                                      410903207,
                                      345142998,
                                      277904834,
                                      209476638,
                                      140151432,
                                      70226075,
                                      0};

#if FIXP_QTW == FIXP_SGL
#define HTW(x) (x)
#else
#define HTW(x) FX_DBL2FX_QTW(FX_SGL2FX_DBL((const FIXP_SGL)x))
#endif

static const FIXP_QTW post_twiddle_cos_8[8] = {
    HTW(-1606),  HTW(4756),  HTW(-7723),  HTW(10394),
    HTW(-12665), HTW(14449), HTW(-15679), HTW(16305)};

static const FIXP_QTW post_twiddle_cos_16[16] = {
    HTW(-804),   HTW(2404),  HTW(-3981),  HTW(5520),  HTW(-7005),  HTW(8423),
    HTW(-9760),  HTW(11003), HTW(-12140), HTW(13160), HTW(-14053), HTW(14811),
    HTW(-15426), HTW(15893), HTW(-16207), HTW(16364)};

static const FIXP_QTW post_twiddle_cos_24[24] = {
    HTW(-536),   HTW(1606),  HTW(-2669),  HTW(3720),  HTW(-4756),  HTW(5771),
    HTW(-6762),  HTW(7723),  HTW(-8652),  HTW(9543),  HTW(-10394), HTW(11200),
    HTW(-11958), HTW(12665), HTW(-13318), HTW(13913), HTW(-14449), HTW(14924),
    HTW(-15334), HTW(15679), HTW(-15956), HTW(16165), HTW(-16305), HTW(16375)};

static const FIXP_QTW post_twiddle_cos_32[32] = {
    HTW(-402),   HTW(1205),  HTW(-2006),  HTW(2801),  HTW(-3590),  HTW(4370),
    HTW(-5139),  HTW(5897),  HTW(-6639),  HTW(7366),  HTW(-8076),  HTW(8765),
    HTW(-9434),  HTW(10080), HTW(-10702), HTW(11297), HTW(-11866), HTW(12406),
    HTW(-12916), HTW(13395), HTW(-13842), HTW(14256), HTW(-14635), HTW(14978),
    HTW(-15286), HTW(15557), HTW(-15791), HTW(15986), HTW(-16143), HTW(16261),
    HTW(-16340), HTW(16379)};

static const FIXP_QTW post_twiddle_cos_40[40] = {
    HTW(-322),   HTW(965),   HTW(-1606),  HTW(2245),  HTW(-2880),  HTW(3511),
    HTW(-4137),  HTW(4756),  HTW(-5368),  HTW(5971),  HTW(-6566),  HTW(7150),
    HTW(-7723),  HTW(8285),  HTW(-8833),  HTW(9368),  HTW(-9889),  HTW(10394),
    HTW(-10883), HTW(11356), HTW(-11810), HTW(12247), HTW(-12665), HTW(13063),
    HTW(-13441), HTW(13799), HTW(-14135), HTW(14449), HTW(-14741), HTW(15011),
    HTW(-15257), HTW(15480), HTW(-15679), HTW(15853), HTW(-16003), HTW(16129),
    HTW(-16229), HTW(16305), HTW(-16356), HTW(16381)};

static const FIXP_QTW post_twiddle_sin_8[8] = {
    HTW(16305), HTW(-15679), HTW(14449), HTW(-12665),
    HTW(10394), HTW(-7723),  HTW(4756),  HTW(-1606)};

static const FIXP_QTW post_twiddle_sin_16[16] = {
    HTW(16364), HTW(-16207), HTW(15893), HTW(-15426), HTW(14811), HTW(-14053),
    HTW(13160), HTW(-12140), HTW(11003), HTW(-9760),  HTW(8423),  HTW(-7005),
    HTW(5520),  HTW(-3981),  HTW(2404),  HTW(-804)};

static const FIXP_QTW post_twiddle_sin_24[24] = {
    HTW(16375), HTW(-16305), HTW(16165), HTW(-15956), HTW(15679), HTW(-15334),
    HTW(14924), HTW(-14449), HTW(13913), HTW(-13318), HTW(12665), HTW(-11958),
    HTW(11200), HTW(-10394), HTW(9543),  HTW(-8652),  HTW(7723),  HTW(-6762),
    HTW(5771),  HTW(-4756),  HTW(3720),  HTW(-2669),  HTW(1606),  HTW(-536)};

static const FIXP_QTW post_twiddle_sin_32[32] = {
    HTW(16379), HTW(-16340), HTW(16261), HTW(-16143), HTW(15986), HTW(-15791),
    HTW(15557), HTW(-15286), HTW(14978), HTW(-14635), HTW(14256), HTW(-13842),
    HTW(13395), HTW(-12916), HTW(12406), HTW(-11866), HTW(11297), HTW(-10702),
    HTW(10080), HTW(-9434),  HTW(8765),  HTW(-8076),  HTW(7366),  HTW(-6639),
    HTW(5897),  HTW(-5139),  HTW(4370),  HTW(-3590),  HTW(2801),  HTW(-2006),
    HTW(1205),  HTW(-402)};

static const FIXP_QTW post_twiddle_sin_40[40] = {
    HTW(16381), HTW(-16356), HTW(16305), HTW(-16229), HTW(16129), HTW(-16003),
    HTW(15853), HTW(-15679), HTW(15480), HTW(-15257), HTW(15011), HTW(-14741),
    HTW(14449), HTW(-14135), HTW(13799), HTW(-13441), HTW(13063), HTW(-12665),
    HTW(12247), HTW(-11810), HTW(11356), HTW(-10883), HTW(10394), HTW(-9889),
    HTW(9368),  HTW(-8833),  HTW(8285),  HTW(-7723),  HTW(7150),  HTW(-6566),
    HTW(5971),  HTW(-5368),  HTW(4756),  HTW(-4137),  HTW(3511),  HTW(-2880),
    HTW(2245),  HTW(-1606),  HTW(965),   HTW(-322)};

static const FIXP_DBL preModCos[32] = {
    -749875776, 786681536,   711263552,  -821592064,  -670937792, 854523392,
    628995648,  -885396032,  -585538240, 914135680,   540670208,  -940673088,
    -494499680, 964944384,   447137824,  -986891008,  -398698816, 1006460096,
    349299264,  -1023604544, -299058240, 1038283072,  248096752,  -1050460288,
    -196537584, 1060106816,  144504928,  -1067199488, -92124160,  1071721152,
    39521456,   -1073660992};

static const FIXP_DBL preModSin[32] = {
    768510144,   730789760,  -804379072,  -691308864, 838310208,   650162560,
    -870221760,  -607449920, 900036928,   563273856,  -927683776,  -517740896,
    953095808,   470960608,  -976211712,  -423045728, 996975808,   374111712,
    -1015338112, -324276416, 1031254400,  273659904,  -1044686336, -222384144,
    1055601472,  170572640,  -1063973632, -118350192, 1069782528,  65842640,
    -1073014208, -13176464};

/* The cube root function */
/*****************************************************************************

    functionname: invCubeRootNorm2
    description:  delivers 1/cuberoot(op) in Q1.31 format and modified exponent

*****************************************************************************/
#define CUBE_ROOT_BITS 7
#define CUBE_ROOT_VALUES (128 + 2)
#define CUBE_ROOT_BITS_MASK 0x7f
#define CUBE_ROOT_FRACT_BITS_MASK 0x007FFFFF
/* Inverse cube root table for operands running from 0.5 to 1.0 */
/* (INT) (1.0/cuberoot((op)));                    */
/* Implicit exponent is 1.                        */

LNK_SECTION_CONSTDATA
static const FIXP_DBL invCubeRootTab[CUBE_ROOT_VALUES] = {
    (0x50a28be6), (0x506d1172), (0x503823c4), (0x5003c05a), (0x4fcfe4c0),
    (0x4f9c8e92), (0x4f69bb7d), (0x4f37693b), (0x4f059594), (0x4ed43e5f),
    (0x4ea36181), (0x4e72fcea), (0x4e430e98), (0x4e139495), (0x4de48cf5),
    (0x4db5f5db), (0x4d87cd73), (0x4d5a11f2), (0x4d2cc19c), (0x4cffdabb),
    (0x4cd35ba4), (0x4ca742b7), (0x4c7b8e5c), (0x4c503d05), (0x4c254d2a),
    (0x4bfabd50), (0x4bd08c00), (0x4ba6b7cd), (0x4b7d3f53), (0x4b542134),
    (0x4b2b5c18), (0x4b02eeb1), (0x4adad7b8), (0x4ab315ea), (0x4a8ba80d),
    (0x4a648cec), (0x4a3dc35b), (0x4a174a30), (0x49f1204a), (0x49cb448d),
    (0x49a5b5e2), (0x49807339), (0x495b7b86), (0x4936cdc2), (0x491268ec),
    (0x48ee4c08), (0x48ca761f), (0x48a6e63e), (0x48839b76), (0x486094de),
    (0x483dd190), (0x481b50ad), (0x47f91156), (0x47d712b3), (0x47b553f0),
    (0x4793d43c), (0x477292c9), (0x47518ece), (0x4730c785), (0x47103c2d),
    (0x46efec06), (0x46cfd655), (0x46affa61), (0x46905777), (0x4670ece4),
    (0x4651b9f9), (0x4632be0b), (0x4613f871), (0x45f56885), (0x45d70da5),
    (0x45b8e72f), (0x459af487), (0x457d3511), (0x455fa835), (0x45424d5d),
    (0x452523f6), (0x45082b6e), (0x44eb6337), (0x44cecac5), (0x44b2618d),
    (0x44962708), (0x447a1ab1), (0x445e3c02), (0x44428a7c), (0x4427059e),
    (0x440bacec), (0x43f07fe9), (0x43d57e1c), (0x43baa70e), (0x439ffa48),
    (0x43857757), (0x436b1dc8), (0x4350ed2b), (0x4336e511), (0x431d050c),
    (0x43034cb2), (0x42e9bb98), (0x42d05156), (0x42b70d85), (0x429defc0),
    (0x4284f7a2), (0x426c24cb), (0x425376d8), (0x423aed6a), (0x42228823),
    (0x420a46a6), (0x41f22898), (0x41da2d9f), (0x41c25561), (0x41aa9f86),
    (0x41930bba), (0x417b99a5), (0x416448f5), (0x414d1956), (0x41360a76),
    (0x411f1c06), (0x41084db5), (0x40f19f35), (0x40db1039), (0x40c4a074),
    (0x40ae4f9b), (0x40981d64), (0x40820985), (0x406c13b6), (0x40563bb1),
    (0x4040812e), (0x402ae3e7), (0x40156399), (0x40000000), (0x3FEAB8D9)};
/*  n.a.  */
static const FIXP_DBL invCubeRootCorrection[3] = {0x40000000, 0x50A28BE6,
                                                  0x6597FA95};

/*****************************************************************************
 * \brief calculate 1.0/cube_root(op), op contains mantissa and exponent
 * \param op_m: (i) mantissa of operand, must not be zero (0x0000.0000) or
 * negative
 * \param op_e: (i) pointer to the exponent of the operand (must be initialized)
 * and .. (o) pointer to the exponent of the result
 * \return:     (o) mantissa of the result
 * \description:
 *  This routine calculates the cube root of the input operand, that is
 *  given with its mantissa in Q31 format (FIXP_DBL) and its exponent (INT).
 *  The resulting mantissa is returned in format Q31. The exponent (*op_e)
 *  is modified accordingly. It is not assured, that the result is fully
 * left-aligned but assumed to have not more than 2 bits headroom. There is one
 * macro to activate the use of this algorithm: FUNCTION_invCubeRootNorm2 By
 * means of activating the macro INVCUBEROOTNORM2_LINEAR_INTERPOLATE_HQ, a
 * slightly higher precision is reachable (by default, not active). For DEBUG
 * purpose only: a FDK_ASSERT macro validates, if the input mantissa is greater
 * zero.
 *
 */
static
#ifdef __arm__
    FIXP_DBL __attribute__((always_inline))
    invCubeRootNorm2(FIXP_DBL op_m, INT* op_e)
#else
    FIXP_DBL
    invCubeRootNorm2(FIXP_DBL op_m, INT* op_e)
#endif
{
  FDK_ASSERT(op_m > FIXP_DBL(0));

  /* normalize input, calculate shift value */
  INT exponent = (INT)fNormz(op_m) - 1;
  op_m <<= exponent;

  INT index = (INT)(op_m >> (DFRACT_BITS - 1 - (CUBE_ROOT_BITS + 1))) &
              CUBE_ROOT_BITS_MASK;
  FIXP_DBL fract = (FIXP_DBL)(((INT)op_m & CUBE_ROOT_FRACT_BITS_MASK)
                              << (CUBE_ROOT_BITS + 1));
  FIXP_DBL diff = invCubeRootTab[index + 1] - invCubeRootTab[index];
  op_m = fMultAddDiv2(invCubeRootTab[index], diff << 1, fract);
#if defined(INVCUBEROOTNORM2_LINEAR_INTERPOLATE_HQ)
  /* reg1 = t[i] + (t[i+1]-t[i])*fract ... already computed ... +
   * (1-fract)fract*(t[i+2]-t[i+1])/2 */
  if (fract != (FIXP_DBL)0) {
    /* fract = fract * (1 - fract) */
    fract = fMultDiv2(fract, (FIXP_DBL)((LONG)0x80000000 - (LONG)fract)) << 1;
    diff = diff - (invCubeRootTab[index + 2] - invCubeRootTab[index + 1]);
    op_m = fMultAddDiv2(op_m, fract, diff);
  }
#endif /* INVCUBEROOTNORM2_LINEAR_INTERPOLATE_HQ */

  /* calculate the output exponent = input * exp/3 = cubicroot(m)*2^(exp/3)
   * where 2^(exp/3) = 2^k'*2 or 2^k'*2^(1/3) or 2^k'*2^(2/3) */
  exponent = exponent - *op_e + 3;
  INT shift_tmp =
      ((INT)fMultDiv2((FIXP_SGL)fAbs(exponent), (FIXP_SGL)0x5556)) >> 16;
  if (exponent < 0) {
    shift_tmp = -shift_tmp;
  }
  INT rem = exponent - 3 * shift_tmp;
  if (rem < 0) {
    rem += 3;
    shift_tmp--;
  }

  *op_e = shift_tmp;
  op_m = fMultDiv2(op_m, invCubeRootCorrection[rem]) << 2;

  return (op_m);
}

  /*****************************************************************************

      functionname: invFourthRootNorm2
      description:  delivers 1/FourthRoot(op) in Q1.31 format and modified
  exponent

  *****************************************************************************/

#define FOURTHROOT_BITS 7
#define FOURTHROOT_VALUES (128 + 2)
#define FOURTHROOT_BITS_MASK 0x7f
#define FOURTHROOT_FRACT_BITS_MASK 0x007FFFFF

LNK_SECTION_CONSTDATA
static const FIXP_DBL invFourthRootTab[FOURTHROOT_VALUES] = {
    (0x4c1bf829), (0x4bf61977), (0x4bd09843), (0x4bab72ef), (0x4b86a7eb),
    (0x4b6235ac), (0x4b3e1ab6), (0x4b1a5592), (0x4af6e4d4), (0x4ad3c718),
    (0x4ab0fb03), (0x4a8e7f42), (0x4a6c5288), (0x4a4a7393), (0x4a28e126),
    (0x4a079a0c), (0x49e69d16), (0x49c5e91f), (0x49a57d04), (0x498557ac),
    (0x49657802), (0x4945dcf9), (0x49268588), (0x490770ac), (0x48e89d6a),
    (0x48ca0ac9), (0x48abb7d6), (0x488da3a6), (0x486fcd4f), (0x485233ed),
    (0x4834d6a3), (0x4817b496), (0x47faccf0), (0x47de1ee0), (0x47c1a999),
    (0x47a56c51), (0x47896643), (0x476d96af), (0x4751fcd6), (0x473697ff),
    (0x471b6773), (0x47006a81), (0x46e5a079), (0x46cb08ae), (0x46b0a279),
    (0x46966d34), (0x467c683d), (0x466292f4), (0x4648ecbc), (0x462f74fe),
    (0x46162b20), (0x45fd0e91), (0x45e41ebe), (0x45cb5b19), (0x45b2c315),
    (0x459a562a), (0x458213cf), (0x4569fb81), (0x45520cbc), (0x453a4701),
    (0x4522a9d1), (0x450b34b0), (0x44f3e726), (0x44dcc0ba), (0x44c5c0f7),
    (0x44aee768), (0x4498339e), (0x4481a527), (0x446b3b96), (0x4454f67e),
    (0x443ed576), (0x4428d815), (0x4412fdf3), (0x43fd46ad), (0x43e7b1de),
    (0x43d23f23), (0x43bcee1e), (0x43a7be6f), (0x4392afb8), (0x437dc19d),
    (0x4368f3c5), (0x435445d6), (0x433fb779), (0x432b4856), (0x4316f81a),
    (0x4302c66f), (0x42eeb305), (0x42dabd8a), (0x42c6e5ad), (0x42b32b21),
    (0x429f8d96), (0x428c0cc2), (0x4278a859), (0x42656010), (0x4252339e),
    (0x423f22bc), (0x422c2d23), (0x4219528b), (0x420692b2), (0x41f3ed51),
    (0x41e16228), (0x41cef0f2), (0x41bc9971), (0x41aa5b62), (0x41983687),
    (0x41862aa2), (0x41743775), (0x41625cc3), (0x41509a50), (0x413eefe2),
    (0x412d5d3e), (0x411be22b), (0x410a7e70), (0x40f931d5), (0x40e7fc23),
    (0x40d6dd24), (0x40c5d4a2), (0x40b4e268), (0x40a40642), (0x40933ffc),
    (0x40828f64), (0x4071f447), (0x40616e73), (0x4050fdb9), (0x4040a1e6),
    (0x40305acc), (0x4020283c), (0x40100a08), (0x40000000), (0x3ff009f9),
};

static const FIXP_DBL invFourthRootCorrection[4] = {0x40000000, 0x4C1BF829,
                                                    0x5A82799A, 0x6BA27E65};

/* The fourth root function */
/*****************************************************************************
 * \brief calculate 1.0/fourth_root(op), op contains mantissa and exponent
 * \param op_m: (i) mantissa of operand, must not be zero (0x0000.0000) or
 * negative
 * \param op_e: (i) pointer to the exponent of the operand (must be initialized)
 * and .. (o) pointer to the exponent of the result
 * \return:     (o) mantissa of the result
 * \description:
 *  This routine calculates the cube root of the input operand, that is
 *  given with its mantissa in Q31 format (FIXP_DBL) and its exponent (INT).
 *  The resulting mantissa is returned in format Q31. The exponent (*op_e)
 *  is modified accordingly. It is not assured, that the result is fully
 * left-aligned but assumed to have not more than 2 bits headroom. There is one
 * macro to activate the use of this algorithm: FUNCTION_invFourthRootNorm2 By
 * means of activating the macro INVFOURTHROOTNORM2_LINEAR_INTERPOLATE_HQ, a
 * slightly higher precision is reachable (by default, not active). For DEBUG
 * purpose only: a FDK_ASSERT macro validates, if the input mantissa is greater
 * zero.
 *
 */

/* #define INVFOURTHROOTNORM2_LINEAR_INTERPOLATE_HQ */

static
#ifdef __arm__
    FIXP_DBL __attribute__((always_inline))
    invFourthRootNorm2(FIXP_DBL op_m, INT* op_e)
#else
    FIXP_DBL
    invFourthRootNorm2(FIXP_DBL op_m, INT* op_e)
#endif
{
  FDK_ASSERT(op_m > FL2FXCONST_DBL(0.0));

  /* normalize input, calculate shift value */
  INT exponent = (INT)fNormz(op_m) - 1;
  op_m <<= exponent;

  INT index = (INT)(op_m >> (DFRACT_BITS - 1 - (FOURTHROOT_BITS + 1))) &
              FOURTHROOT_BITS_MASK;
  FIXP_DBL fract = (FIXP_DBL)(((INT)op_m & FOURTHROOT_FRACT_BITS_MASK)
                              << (FOURTHROOT_BITS + 1));
  FIXP_DBL diff = invFourthRootTab[index + 1] - invFourthRootTab[index];
  op_m = invFourthRootTab[index] + (fMultDiv2(diff, fract) << 1);

#if defined(INVFOURTHROOTNORM2_LINEAR_INTERPOLATE_HQ)
  /* reg1 = t[i] + (t[i+1]-t[i])*fract ... already computed ... +
   * (1-fract)fract*(t[i+2]-t[i+1])/2 */
  if (fract != (FIXP_DBL)0) {
    /* fract = fract * (1 - fract) */
    fract = fMultDiv2(fract, (FIXP_DBL)((LONG)0x80000000 - (LONG)fract)) << 1;
    diff = diff - (invFourthRootTab[index + 2] - invFourthRootTab[index + 1]);
    op_m = fMultAddDiv2(op_m, fract, diff);
  }
#endif /* INVFOURTHROOTNORM2_LINEAR_INTERPOLATE_HQ */

  exponent = exponent - *op_e + 4;
  INT rem = exponent & 0x00000003;
  INT shift_tmp = (exponent >> 2);

  *op_e = shift_tmp;
  op_m = fMultDiv2(op_m, invFourthRootCorrection[rem]) << 2;

  return (op_m);
}

/*****************************************************************************

    functionname: inv3EigthRootNorm2
    description:  delivers 1/cubert(op) normalized to .5...1 and the shift value
of the OUTPUT

*****************************************************************************/
#define THREEIGTHROOT_BITS 7
#define THREEIGTHROOT_VALUES (128 + 2)
#define THREEIGTHROOT_BITS_MASK 0x7f
#define THREEIGTHROOT_FRACT_BITS_MASK 0x007FFFFF

LNK_SECTION_CONSTDATA
static const FIXP_DBL inv3EigthRootTab[THREEIGTHROOT_VALUES] = {
    (0x45cae0f2), (0x45b981bf), (0x45a8492a), (0x45973691), (0x45864959),
    (0x457580e6), (0x4564dca4), (0x45545c00), (0x4543fe6b), (0x4533c35a),
    (0x4523aa44), (0x4513b2a4), (0x4503dbf7), (0x44f425be), (0x44e48f7b),
    (0x44d518b6), (0x44c5c0f7), (0x44b687c8), (0x44a76cb8), (0x44986f58),
    (0x44898f38), (0x447acbef), (0x446c2514), (0x445d9a3f), (0x444f2b0d),
    (0x4440d71a), (0x44329e07), (0x44247f73), (0x44167b04), (0x4408905e),
    (0x43fabf28), (0x43ed070b), (0x43df67b0), (0x43d1e0c5), (0x43c471f7),
    (0x43b71af6), (0x43a9db71), (0x439cb31c), (0x438fa1ab), (0x4382a6d2),
    (0x4375c248), (0x4368f3c5), (0x435c3b03), (0x434f97bc), (0x434309ac),
    (0x43369091), (0x432a2c28), (0x431ddc30), (0x4311a06c), (0x4305789c),
    (0x42f96483), (0x42ed63e5), (0x42e17688), (0x42d59c30), (0x42c9d4a6),
    (0x42be1fb1), (0x42b27d1a), (0x42a6ecac), (0x429b6e2f), (0x42900172),
    (0x4284a63f), (0x42795c64), (0x426e23b0), (0x4262fbf2), (0x4257e4f9),
    (0x424cde96), (0x4241e89a), (0x423702d8), (0x422c2d23), (0x4221674d),
    (0x4216b12c), (0x420c0a94), (0x4201735b), (0x41f6eb57), (0x41ec725f),
    (0x41e2084b), (0x41d7acf3), (0x41cd6030), (0x41c321db), (0x41b8f1ce),
    (0x41aecfe5), (0x41a4bbf8), (0x419ab5e6), (0x4190bd89), (0x4186d2bf),
    (0x417cf565), (0x41732558), (0x41696277), (0x415faca1), (0x415603b4),
    (0x414c6792), (0x4142d818), (0x4139552a), (0x412fdea6), (0x41267470),
    (0x411d1668), (0x4113c472), (0x410a7e70), (0x41014445), (0x40f815d4),
    (0x40eef302), (0x40e5dbb4), (0x40dccfcd), (0x40d3cf33), (0x40cad9cb),
    (0x40c1ef7b), (0x40b9102a), (0x40b03bbd), (0x40a7721c), (0x409eb32e),
    (0x4095feda), (0x408d5508), (0x4084b5a0), (0x407c208b), (0x407395b2),
    (0x406b14fd), (0x40629e56), (0x405a31a6), (0x4051ced8), (0x404975d5),
    (0x40412689), (0x4038e0dd), (0x4030a4bd), (0x40287215), (0x402048cf),
    (0x401828d7), (0x4010121a), (0x40080483), (0x40000000), (0x3ff8047d),
};

/* The last value is rounded in order to avoid any overflow due to the values
 * range of the root table */
static const FIXP_DBL inv3EigthRootCorrection[8] = {
    0x40000000, 0x45CAE0F2, 0x4C1BF829, 0x52FF6B55,
    0x5A82799A, 0x62B39509, 0x6BA27E65, 0x75606373};

/* The 3/8 root function */
/*****************************************************************************
 * \brief calculate 1.0/3Eigth_root(op) = 1.0/(x)^(3/8), op contains mantissa
 * and exponent
 * \param op_m: (i) mantissa of operand, must not be zero (0x0000.0000) or
 * negative
 * \param op_e: (i) pointer to the exponent of the operand (must be initialized)
 * and .. (o) pointer to the exponent of the result
 * \return:     (o) mantissa of the result
 * \description:
 *  This routine calculates the cube root of the input operand, that is
 *  given with its mantissa in Q31 format (FIXP_DBL) and its exponent (INT).
 *  The resulting mantissa is returned in format Q31. The exponent (*op_e)
 *  is modified accordingly. It is not assured, that the result is fully
 * left-aligned but assumed to have not more than 2 bits headroom. There is one
 * macro to activate the use of this algorithm: FUNCTION_inv3EigthRootNorm2 By
 * means of activating the macro INVTHREEIGTHROOTNORM2_LINEAR_INTERPOLATE_HQ, a
 * slightly higher precision is reachable (by default, not active). For DEBUG
 * purpose only: a FDK_ASSERT macro validates, if the input mantissa is greater
 * zero.
 *
 */

/* #define INVTHREEIGTHROOTNORM2_LINEAR_INTERPOLATE_HQ */

static
#ifdef __arm__
    FIXP_DBL __attribute__((always_inline))
    inv3EigthRootNorm2(FIXP_DBL op_m, INT* op_e)
#else
    FIXP_DBL
    inv3EigthRootNorm2(FIXP_DBL op_m, INT* op_e)
#endif
{
  FDK_ASSERT(op_m > FL2FXCONST_DBL(0.0));

  /* normalize input, calculate shift op_mue */
  INT exponent = (INT)fNormz(op_m) - 1;
  op_m <<= exponent;

  INT index = (INT)(op_m >> (DFRACT_BITS - 1 - (THREEIGTHROOT_BITS + 1))) &
              THREEIGTHROOT_BITS_MASK;
  FIXP_DBL fract = (FIXP_DBL)(((INT)op_m & THREEIGTHROOT_FRACT_BITS_MASK)
                              << (THREEIGTHROOT_BITS + 1));
  FIXP_DBL diff = inv3EigthRootTab[index + 1] - inv3EigthRootTab[index];
  op_m = inv3EigthRootTab[index] + (fMultDiv2(diff, fract) << 1);

#if defined(INVTHREEIGTHROOTNORM2_LINEAR_INTERPOLATE_HQ)
  /* op_m = t[i] + (t[i+1]-t[i])*fract ... already computed ... +
   * (1-fract)fract*(t[i+2]-t[i+1])/2 */
  if (fract != (FIXP_DBL)0) {
    /* fract = fract * (1 - fract) */
    fract = fMultDiv2(fract, (FIXP_DBL)((LONG)0x80000000 - (LONG)fract)) << 1;
    diff = diff - (inv3EigthRootTab[index + 2] - inv3EigthRootTab[index + 1]);
    op_m = fMultAddDiv2(op_m, fract, diff);
  }
#endif /* INVTHREEIGTHROOTNORM2_LINEAR_INTERPOLATE_HQ */

  exponent = exponent - *op_e + 8;
  INT rem = exponent & 0x00000007;
  INT shift_tmp = (exponent >> 3);

  *op_e = shift_tmp * 3;
  op_m = fMultDiv2(op_m, inv3EigthRootCorrection[rem]) << 2;

  return (fMult(op_m, fMult(op_m, op_m)));
}

SBR_ERROR
QmfTransposerCreate(HANDLE_HBE_TRANSPOSER* hQmfTransposer, const int frameSize,
                    int bDisableCrossProducts, int bSbr41) {
  HANDLE_HBE_TRANSPOSER hQmfTran = NULL;

  int i;

  if (hQmfTransposer != NULL) {
    /* Memory allocation */
    /*--------------------------------------------------------------------------------------------*/
    hQmfTran =
        (HANDLE_HBE_TRANSPOSER)FDKcalloc(1, sizeof(struct hbeTransposer));
    if (hQmfTran == NULL) {
      return SBRDEC_MEM_ALLOC_FAILED;
    }

    for (i = 0; i < MAX_STRETCH_HBE - 1; i++) {
      hQmfTran->bXProducts[i] = (bDisableCrossProducts ? 0 : xProducts[i]);
    }

    hQmfTran->timeDomainWinLen = frameSize;
    if (frameSize == 768) {
      hQmfTran->noCols =
          (8 * frameSize / 3) / QMF_SYNTH_CHANNELS; /* 32 for 24:64 */
    } else {
      hQmfTran->noCols =
          (bSbr41 + 1) * 2 * frameSize /
          QMF_SYNTH_CHANNELS; /* 32 for 32:64 and 64 for 16:64 -> identical to
                                 sbrdec->no_cols */
    }

    hQmfTran->noChannels = frameSize / hQmfTran->noCols;

    hQmfTran->qmfInBufSize = QMF_WIN_LEN;
    hQmfTran->qmfOutBufSize = 2 * (hQmfTran->noCols / 2 + QMF_WIN_LEN - 1);

    hQmfTran->inBuf_F =
        (LONG*)FDKcalloc(QMF_SYNTH_CHANNELS + 20 + 1, sizeof(LONG));
    /* buffered time signal needs to be delayed by synthesis_size; max
     * synthesis_size = 20; */
    if (hQmfTran->inBuf_F == NULL) {
      QmfTransposerClose(hQmfTran);
      return SBRDEC_MEM_ALLOC_FAILED;
    }

    hQmfTran->qmfInBufReal_F =
        (FIXP_DBL**)FDKcalloc(hQmfTran->qmfInBufSize, sizeof(FIXP_DBL*));
    hQmfTran->qmfInBufImag_F =
        (FIXP_DBL**)FDKcalloc(hQmfTran->qmfInBufSize, sizeof(FIXP_DBL*));

    if (hQmfTran->qmfInBufReal_F == NULL) {
      QmfTransposerClose(hQmfTran);
      return SBRDEC_MEM_ALLOC_FAILED;
    }
    if (hQmfTran->qmfInBufImag_F == NULL) {
      QmfTransposerClose(hQmfTran);
      return SBRDEC_MEM_ALLOC_FAILED;
    }

    for (i = 0; i < hQmfTran->qmfInBufSize; i++) {
      hQmfTran->qmfInBufReal_F[i] = (FIXP_DBL*)FDKaalloc(
          QMF_SYNTH_CHANNELS * sizeof(FIXP_DBL), ALIGNMENT_DEFAULT);
      hQmfTran->qmfInBufImag_F[i] = (FIXP_DBL*)FDKaalloc(
          QMF_SYNTH_CHANNELS * sizeof(FIXP_DBL), ALIGNMENT_DEFAULT);
      if (hQmfTran->qmfInBufReal_F[i] == NULL) {
        QmfTransposerClose(hQmfTran);
        return SBRDEC_MEM_ALLOC_FAILED;
      }
      if (hQmfTran->qmfInBufImag_F[i] == NULL) {
        QmfTransposerClose(hQmfTran);
        return SBRDEC_MEM_ALLOC_FAILED;
      }
    }

    hQmfTran->qmfHBEBufReal_F =
        (FIXP_DBL**)FDKcalloc(HBE_MAX_OUT_SLOTS, sizeof(FIXP_DBL*));
    hQmfTran->qmfHBEBufImag_F =
        (FIXP_DBL**)FDKcalloc(HBE_MAX_OUT_SLOTS, sizeof(FIXP_DBL*));

    if (hQmfTran->qmfHBEBufReal_F == NULL) {
      QmfTransposerClose(hQmfTran);
      return SBRDEC_MEM_ALLOC_FAILED;
    }
    if (hQmfTran->qmfHBEBufImag_F == NULL) {
      QmfTransposerClose(hQmfTran);
      return SBRDEC_MEM_ALLOC_FAILED;
    }

    for (i = 0; i < HBE_MAX_OUT_SLOTS; i++) {
      hQmfTran->qmfHBEBufReal_F[i] =
          (FIXP_DBL*)FDKcalloc(QMF_SYNTH_CHANNELS, sizeof(FIXP_DBL));
      hQmfTran->qmfHBEBufImag_F[i] =
          (FIXP_DBL*)FDKcalloc(QMF_SYNTH_CHANNELS, sizeof(FIXP_DBL));
      if (hQmfTran->qmfHBEBufReal_F[i] == NULL) {
        QmfTransposerClose(hQmfTran);
        return SBRDEC_MEM_ALLOC_FAILED;
      }
      if (hQmfTran->qmfHBEBufImag_F[i] == NULL) {
        QmfTransposerClose(hQmfTran);
        return SBRDEC_MEM_ALLOC_FAILED;
      }
    }

    hQmfTran->qmfBufferCodecTempSlot_F =
        (FIXP_DBL*)FDKcalloc(QMF_SYNTH_CHANNELS / 2, sizeof(FIXP_DBL));
    if (hQmfTran->qmfBufferCodecTempSlot_F == NULL) {
      QmfTransposerClose(hQmfTran);
      return SBRDEC_MEM_ALLOC_FAILED;
    }

    hQmfTran->bSbr41 = bSbr41;

    hQmfTran->highband_exp[0] = 0;
    hQmfTran->highband_exp[1] = 0;
    hQmfTran->target_exp[0] = 0;
    hQmfTran->target_exp[1] = 0;

    *hQmfTransposer = hQmfTran;
  }

  return SBRDEC_OK;
}

SBR_ERROR QmfTransposerReInit(HANDLE_HBE_TRANSPOSER hQmfTransposer,
                              UCHAR* FreqBandTable[2], UCHAR NSfb[2])
/* removed bSbr41 from parameterlist:
   don't know where to get this value from
   at call-side */
{
  int L, sfb, patch, stopPatch, qmfErr;

  if (hQmfTransposer != NULL) {
    const FIXP_QTW* tmp_t_cos;
    const FIXP_QTW* tmp_t_sin;

    hQmfTransposer->startBand = FreqBandTable[0][0];
    FDK_ASSERT((!hQmfTransposer->bSbr41 && hQmfTransposer->startBand <= 32) ||
               (hQmfTransposer->bSbr41 &&
                hQmfTransposer->startBand <=
                    16)); /* is checked by resetFreqBandTables() */
    hQmfTransposer->stopBand = FreqBandTable[0][NSfb[0]];

    hQmfTransposer->synthSize =
        4 * ((hQmfTransposer->startBand + 4) / 8 + 1); /* 8, 12, 16, 20 */
    hQmfTransposer->kstart = startSubband2kL[hQmfTransposer->startBand];

    /* don't know where to take this information from */
    /* hQmfTransposer->bSbr41 = bSbr41;               */

    if (hQmfTransposer->bSbr41) {
      if (hQmfTransposer->kstart + hQmfTransposer->synthSize > 16)
        hQmfTransposer->kstart = 16 - hQmfTransposer->synthSize;
    } else if (hQmfTransposer->timeDomainWinLen == 768) {
      if (hQmfTransposer->kstart + hQmfTransposer->synthSize > 24)
        hQmfTransposer->kstart = 24 - hQmfTransposer->synthSize;
    }

    hQmfTransposer->synthesisQmfPreModCos_F =
        &preModCos[hQmfTransposer->kstart];
    hQmfTransposer->synthesisQmfPreModSin_F =
        &preModSin[hQmfTransposer->kstart];

    L = 2 * hQmfTransposer->synthSize; /* 8, 16, 24, 32, 40 */
                                       /* Change analysis post twiddles */

    switch (L) {
      case 8:
        tmp_t_cos = post_twiddle_cos_8;
        tmp_t_sin = post_twiddle_sin_8;
        break;
      case 16:
        tmp_t_cos = post_twiddle_cos_16;
        tmp_t_sin = post_twiddle_sin_16;
        break;
      case 24:
        tmp_t_cos = post_twiddle_cos_24;
        tmp_t_sin = post_twiddle_sin_24;
        break;
      case 32:
        tmp_t_cos = post_twiddle_cos_32;
        tmp_t_sin = post_twiddle_sin_32;
        break;
      case 40:
        tmp_t_cos = post_twiddle_cos_40;
        tmp_t_sin = post_twiddle_sin_40;
        break;
      default:
        return SBRDEC_UNSUPPORTED_CONFIG;
    }

    qmfErr = qmfInitSynthesisFilterBank(
        &hQmfTransposer->HBESynthesisQMF, hQmfTransposer->synQmfStates,
        hQmfTransposer->noCols, 0, hQmfTransposer->synthSize,
        hQmfTransposer->synthSize, 1);
    if (qmfErr != 0) {
      return SBRDEC_UNSUPPORTED_CONFIG;
    }

    qmfErr = qmfInitAnalysisFilterBank(
        &hQmfTransposer->HBEAnalysiscQMF, hQmfTransposer->anaQmfStates,
        hQmfTransposer->noCols / 2, 0, 2 * hQmfTransposer->synthSize,
        2 * hQmfTransposer->synthSize, 0);

    if (qmfErr != 0) {
      return SBRDEC_UNSUPPORTED_CONFIG;
    }

    hQmfTransposer->HBEAnalysiscQMF.t_cos = tmp_t_cos;
    hQmfTransposer->HBEAnalysiscQMF.t_sin = tmp_t_sin;

    FDKmemset(hQmfTransposer->xOverQmf, 0,
              MAX_NUM_PATCHES * sizeof(int)); /* global */
    sfb = 0;
    if (hQmfTransposer->bSbr41) {
      stopPatch = MAX_NUM_PATCHES;
      hQmfTransposer->maxStretch = MAX_STRETCH_HBE;
    } else {
      stopPatch = MAX_STRETCH_HBE;
    }

    for (patch = 1; patch <= stopPatch; patch++) {
      while (sfb <= NSfb[0] &&
             FreqBandTable[0][sfb] <= patch * hQmfTransposer->startBand)
        sfb++;
      if (sfb <= NSfb[0]) {
        /* If the distance is larger than three QMF bands - try aligning to high
         * resolution frequency bands instead. */
        if ((patch * hQmfTransposer->startBand - FreqBandTable[0][sfb - 1]) <=
            3) {
          hQmfTransposer->xOverQmf[patch - 1] = FreqBandTable[0][sfb - 1];
        } else {
          int sfb_tmp = 0;
          while (sfb_tmp <= NSfb[1] &&
                 FreqBandTable[1][sfb_tmp] <= patch * hQmfTransposer->startBand)
            sfb_tmp++;
          hQmfTransposer->xOverQmf[patch - 1] = FreqBandTable[1][sfb_tmp - 1];
        }
      } else {
        hQmfTransposer->xOverQmf[patch - 1] = hQmfTransposer->stopBand;
        hQmfTransposer->maxStretch = fMin(patch, MAX_STRETCH_HBE);
        break;
      }
    }

    hQmfTransposer->highband_exp[0] = 0;
    hQmfTransposer->highband_exp[1] = 0;
    hQmfTransposer->target_exp[0] = 0;
    hQmfTransposer->target_exp[1] = 0;
  }

  return SBRDEC_OK;
}

void QmfTransposerClose(HANDLE_HBE_TRANSPOSER hQmfTransposer) {
  int i;

  if (hQmfTransposer != NULL) {
    if (hQmfTransposer->inBuf_F) FDKfree(hQmfTransposer->inBuf_F);

    if (hQmfTransposer->qmfInBufReal_F) {
      for (i = 0; i < hQmfTransposer->qmfInBufSize; i++) {
        FDKafree(hQmfTransposer->qmfInBufReal_F[i]);
      }
      FDKfree(hQmfTransposer->qmfInBufReal_F);
    }

    if (hQmfTransposer->qmfInBufImag_F) {
      for (i = 0; i < hQmfTransposer->qmfInBufSize; i++) {
        FDKafree(hQmfTransposer->qmfInBufImag_F[i]);
      }
      FDKfree(hQmfTransposer->qmfInBufImag_F);
    }

    if (hQmfTransposer->qmfHBEBufReal_F) {
      for (i = 0; i < HBE_MAX_OUT_SLOTS; i++) {
        FDKfree(hQmfTransposer->qmfHBEBufReal_F[i]);
      }
      FDKfree(hQmfTransposer->qmfHBEBufReal_F);
    }

    if (hQmfTransposer->qmfHBEBufImag_F) {
      for (i = 0; i < HBE_MAX_OUT_SLOTS; i++) {
        FDKfree(hQmfTransposer->qmfHBEBufImag_F[i]);
      }
      FDKfree(hQmfTransposer->qmfHBEBufImag_F);
    }

    FDKfree(hQmfTransposer->qmfBufferCodecTempSlot_F);

    FDKfree(hQmfTransposer);
  }
}

inline void scaleUp(FIXP_DBL* real_m, FIXP_DBL* imag_m, INT* _e) {
  INT reserve;
  /* shift gc_r and gc_i up if possible */
  reserve = CntLeadingZeros((INT(*real_m) ^ INT((*real_m >> 31))) |
                            (INT(*imag_m) ^ INT((*imag_m >> 31)))) -
            1;
  reserve = fMax(reserve - 1,
                 0); /* Leave one bit headroom such that (real_m^2 + imag_m^2)
                        does not overflow later if both are 0x80000000. */
  reserve = fMin(reserve, *_e);
  FDK_ASSERT(reserve >= 0);
  *real_m <<= reserve;
  *imag_m <<= reserve;
  *_e -= reserve;
}

static void calculateCenterFIXP(FIXP_DBL gammaVecReal, FIXP_DBL gammaVecImag,
                                FIXP_DBL* centerReal, FIXP_DBL* centerImag,
                                INT* exponent, int stretch, int mult) {
  scaleUp(&gammaVecReal, &gammaVecImag, exponent);
  FIXP_DBL energy = fPow2Div2(gammaVecReal) + fPow2Div2(gammaVecImag);

  if (energy != FL2FXCONST_DBL(0.f)) {
    FIXP_DBL gc_r_m, gc_i_m, factor_m = (FIXP_DBL)0;
    INT factor_e, gc_e;
    factor_e = 2 * (*exponent) + 1;

    switch (stretch) {
      case 2:
        factor_m = invFourthRootNorm2(energy, &factor_e);
        break;
      case 3:
        factor_m = invCubeRootNorm2(energy, &factor_e);
        break;
      case 4:
        factor_m = inv3EigthRootNorm2(energy, &factor_e);
        break;
    }

    gc_r_m = fMultDiv2(gammaVecReal,
                       factor_m); /* exponent = HBE_SCALE + factor_e + 1 */
    gc_i_m = fMultDiv2(gammaVecImag,
                       factor_m); /* exponent = HBE_SCALE + factor_e + 1*/
    gc_e = *exponent + factor_e + 1;

    scaleUp(&gc_r_m, &gc_i_m, &gc_e);

    switch (mult) {
      case 0:
        *centerReal = gc_r_m;
        *centerImag = gc_i_m;
        break;
      case 1:
        *centerReal = fPow2Div2(gc_r_m) - fPow2Div2(gc_i_m);
        *centerImag = fMult(gc_r_m, gc_i_m);
        gc_e = 2 * gc_e + 1;
        break;
      case 2:
        FIXP_DBL tmp_r = gc_r_m;
        FIXP_DBL tmp_i = gc_i_m;
        gc_r_m = fPow2Div2(gc_r_m) - fPow2Div2(gc_i_m);
        gc_i_m = fMult(tmp_r, gc_i_m);
        gc_e = 3 * gc_e + 1 + 1;
        cplxMultDiv2(&centerReal[0], &centerImag[0], gc_r_m, gc_i_m, tmp_r,
                     tmp_i);
        break;
    }

    scaleUp(centerReal, centerImag, &gc_e);

    FDK_ASSERT(gc_e >= 0);
    *exponent = gc_e;
  } else {
    *centerReal = energy; /* energy = 0 */
    *centerImag = energy; /* energy = 0 */
    *exponent = (INT)energy;
  }
}

static int getHBEScaleFactorFrame(const int bSbr41, const int maxStretch,
                                  const int pitchInBins) {
  if (pitchInBins >= pmin * (1 + bSbr41)) {
    /* crossproducts enabled */
    return 26;
  } else {
    return (maxStretch == 2) ? 24 : 25;
  }
}

static void addHighBandPart(FIXP_DBL g_r_m, FIXP_DBL g_i_m, INT g_e,
                            FIXP_DBL mult, FIXP_DBL gammaCenterReal_m,
                            FIXP_DBL gammaCenterImag_m, INT gammaCenter_e,
                            INT stretch, INT scale_factor_hbe,
                            FIXP_DBL* qmfHBEBufReal_F,
                            FIXP_DBL* qmfHBEBufImag_F) {
  if ((g_r_m | g_i_m) != FL2FXCONST_DBL(0.f)) {
    FIXP_DBL factor_m = (FIXP_DBL)0;
    INT factor_e;
    INT add = (stretch == 4) ? 1 : 0;
    INT shift = (stretch == 4) ? 1 : 2;

    scaleUp(&g_r_m, &g_i_m, &g_e);
    FIXP_DBL energy = fPow2AddDiv2(fPow2Div2(g_r_m), g_i_m);
    factor_e = 2 * g_e + 1;

    switch (stretch) {
      case 2:
        factor_m = invFourthRootNorm2(energy, &factor_e);
        break;
      case 3:
        factor_m = invCubeRootNorm2(energy, &factor_e);
        break;
      case 4:
        factor_m = inv3EigthRootNorm2(energy, &factor_e);
        break;
    }

    factor_m = fMult(factor_m, mult);

    FIXP_DBL tmp_r, tmp_i;
    cplxMultDiv2(&tmp_r, &tmp_i, g_r_m, g_i_m, gammaCenterReal_m,
                 gammaCenterImag_m);

    g_r_m = fMultDiv2(tmp_r, factor_m) << shift;
    g_i_m = fMultDiv2(tmp_i, factor_m) << shift;
    g_e = scale_factor_hbe - (g_e + factor_e + gammaCenter_e + add);
    g_e = fMax((INT)0, g_e);
    *qmfHBEBufReal_F += g_r_m >> g_e;
    *qmfHBEBufImag_F += g_i_m >> g_e;
  }
}

void QmfTransposerApply(HANDLE_HBE_TRANSPOSER hQmfTransposer,
                        FIXP_DBL** qmfBufferCodecReal,
                        FIXP_DBL** qmfBufferCodecImag, int nColsIn,
                        FIXP_DBL** ppQmfBufferOutReal_F,
                        FIXP_DBL** ppQmfBufferOutImag_F,
                        FIXP_DBL lpcFilterStatesReal[2 + (3 * (4))][(64)],
                        FIXP_DBL lpcFilterStatesImag[2 + (3 * (4))][(64)],
                        int pitchInBins, int scale_lb, int scale_hbe,
                        int* scale_hb, int timeStep, int firstSlotOffsset,
                        int ov_len,
                        KEEP_STATES_SYNCED_MODE keepStatesSyncedMode) {
  int i, j, stretch, band, sourceband, r, s;
  int qmfVocoderColsIn = hQmfTransposer->noCols / 2;
  int bSbr41 = hQmfTransposer->bSbr41;

  const int winLength[3] = {10, 8, 6};
  const int slotOffset = 6; /* hQmfTransposer->winLen-6; */

  int qmfOffset = 2 * hQmfTransposer->kstart;
  int scale_border = (nColsIn == 64) ? 32 : nColsIn;

  INT slot_stretch4[9] = {0, 0, 0, 0, 2, 4, 6, 8, 10};
  INT slot_stretch2[11] = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10};
  INT slot_stretch3[10] = {0, 0, 0, 1, 3, 4, 6, 7, 9, 10};
  INT filt_stretch3[10] = {0, 0, 0, 1, 0, 1, 0, 1, 0, 1};
  INT filt_dummy[11] = {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0};
  INT* pSlotStretch;
  INT* pFilt;

  int offset = 0; /* where to take  QmfTransposer data */

  int signPreMod =
      (hQmfTransposer->synthesisQmfPreModCos_F[0] < FL2FXCONST_DBL(0.f)) ? 1
                                                                         : -1;

  int scale_factor_hbe =
      getHBEScaleFactorFrame(bSbr41, hQmfTransposer->maxStretch, pitchInBins);

  if (keepStatesSyncedMode != KEEP_STATES_SYNCED_OFF) {
    offset = hQmfTransposer->noCols - ov_len - LPC_ORDER;
  }

  hQmfTransposer->highband_exp[0] = hQmfTransposer->highband_exp[1];
  hQmfTransposer->target_exp[0] = hQmfTransposer->target_exp[1];

  hQmfTransposer->highband_exp[1] = scale_factor_hbe;
  hQmfTransposer->target_exp[1] =
      fixMax(hQmfTransposer->highband_exp[1], hQmfTransposer->highband_exp[0]);

  scale_factor_hbe = hQmfTransposer->target_exp[1];

  int shift_ov = hQmfTransposer->target_exp[0] - hQmfTransposer->target_exp[1];

  if (shift_ov != 0) {
    for (i = 0; i < HBE_MAX_OUT_SLOTS; i++) {
      scaleValuesSaturate(&hQmfTransposer->qmfHBEBufReal_F[i][0],
                          QMF_SYNTH_CHANNELS, shift_ov);
      scaleValuesSaturate(&hQmfTransposer->qmfHBEBufImag_F[i][0],
                          QMF_SYNTH_CHANNELS, shift_ov);
    }

    if (keepStatesSyncedMode == KEEP_STATES_SYNCED_OFF) {
      int nBands =
          fMax(0, hQmfTransposer->stopBand - hQmfTransposer->startBand);

      for (i = timeStep * firstSlotOffsset; i < ov_len; i++) {
        scaleValuesSaturate(&ppQmfBufferOutReal_F[i][hQmfTransposer->startBand],
                            nBands, shift_ov);
        scaleValuesSaturate(&ppQmfBufferOutImag_F[i][hQmfTransposer->startBand],
                            nBands, shift_ov);
      }

      /* shift lpc filterstates */
      for (i = 0; i < timeStep * firstSlotOffsset + LPC_ORDER; i++) {
        scaleValuesSaturate(&lpcFilterStatesReal[i][0], (64), shift_ov);
        scaleValuesSaturate(&lpcFilterStatesImag[i][0], (64), shift_ov);
      }
    }
  }

  FIXP_DBL twid_m_new[3][2]; /* [stretch][cos/sin] */
  INT stepsize = 1 + !bSbr41, sine_offset = 24, mod = 96;
  INT mult[3] = {1, 2, 3};

  for (s = 0; s <= MAX_STRETCH_HBE - 2; s++) {
    twid_m_new[s][0] = twiddle[(mult[s] * (stepsize * pitchInBins)) % mod];
    twid_m_new[s][1] =
        twiddle[((mult[s] * (stepsize * pitchInBins)) + sine_offset) % mod];
  }

  /* Time-stretch */
  for (j = 0; j < qmfVocoderColsIn; j++) {
    int sign = -1, k, z, addrshift, codecTemp_e;
    /* update inbuf */
    for (i = 0; i < hQmfTransposer->synthSize; i++) {
      hQmfTransposer->inBuf_F[i] =
          hQmfTransposer->inBuf_F[i + 2 * hQmfTransposer->synthSize];
    }

    /* run synthesis for two sbr slots as transposer uses
    half slots double bands representation */
    for (z = 0; z < 2; z++) {
      int scale_factor = ((nColsIn == 64) && ((2 * j + z) < scale_border))
                             ? scale_lb
                             : scale_hbe;
      codecTemp_e = scale_factor - 1; /* -2 for Div2 and cos/sin scale of 1 */

      for (k = 0; k < hQmfTransposer->synthSize; k++) {
        int ki = hQmfTransposer->kstart + k;
        hQmfTransposer->qmfBufferCodecTempSlot_F[k] =
            fMultDiv2(signPreMod * hQmfTransposer->synthesisQmfPreModCos_F[k],
                      qmfBufferCodecReal[2 * j + z][ki]);
        hQmfTransposer->qmfBufferCodecTempSlot_F[k] +=
            fMultDiv2(signPreMod * hQmfTransposer->synthesisQmfPreModSin_F[k],
                      qmfBufferCodecImag[2 * j + z][ki]);
      }

      C_AALLOC_SCRATCH_START(pWorkBuffer, FIXP_DBL, (HBE_MAX_QMF_BANDS << 1));

      qmfSynthesisFilteringSlot(
          &hQmfTransposer->HBESynthesisQMF,
          hQmfTransposer->qmfBufferCodecTempSlot_F, NULL, 0,
          -7 - hQmfTransposer->HBESynthesisQMF.filterScale - codecTemp_e + 1,
          hQmfTransposer->inBuf_F + hQmfTransposer->synthSize * (z + 1), 1,
          pWorkBuffer);

      C_AALLOC_SCRATCH_END(pWorkBuffer, FIXP_DBL, (HBE_MAX_QMF_BANDS << 1));
    }

    C_AALLOC_SCRATCH_START(pWorkBuffer, FIXP_DBL, (HBE_MAX_QMF_BANDS << 1));

    qmfAnalysisFilteringSlot(&hQmfTransposer->HBEAnalysiscQMF,
                             hQmfTransposer->qmfInBufReal_F[QMF_WIN_LEN - 1],
                             hQmfTransposer->qmfInBufImag_F[QMF_WIN_LEN - 1],
                             hQmfTransposer->inBuf_F + 1, 1, pWorkBuffer);

    C_AALLOC_SCRATCH_END(pWorkBuffer, FIXP_DBL, (HBE_MAX_QMF_BANDS << 1));

    if ((keepStatesSyncedMode == KEEP_STATES_SYNCED_NORMAL) &&
        j <= qmfVocoderColsIn - ((LPC_ORDER + ov_len + QMF_WIN_LEN - 1) >> 1)) {
      /* update in buffer */
      for (i = 0; i < QMF_WIN_LEN - 1; i++) {
        FDKmemcpy(
            hQmfTransposer->qmfInBufReal_F[i],
            hQmfTransposer->qmfInBufReal_F[i + 1],
            sizeof(FIXP_DBL) * hQmfTransposer->HBEAnalysiscQMF.no_channels);
        FDKmemcpy(
            hQmfTransposer->qmfInBufImag_F[i],
            hQmfTransposer->qmfInBufImag_F[i + 1],
            sizeof(FIXP_DBL) * hQmfTransposer->HBEAnalysiscQMF.no_channels);
      }
      continue;
    }

    for (stretch = 2; stretch <= hQmfTransposer->maxStretch; stretch++) {
      int start = slotOffset - winLength[stretch - 2] / 2;
      int stop = slotOffset + winLength[stretch - 2] / 2;

      FIXP_DBL factor = FL2FXCONST_DBL(1.f / 3.f);

      for (band = hQmfTransposer->xOverQmf[stretch - 2];
           band < hQmfTransposer->xOverQmf[stretch - 1]; band++) {
        FIXP_DBL gammaCenterReal_m[2] = {(FIXP_DBL)0, (FIXP_DBL)0},
                 gammaCenterImag_m[2] = {(FIXP_DBL)0, (FIXP_DBL)0};
        INT gammaCenter_e[2] = {0, 0};

        FIXP_DBL gammaVecReal_m[2] = {(FIXP_DBL)0, (FIXP_DBL)0},
                 gammaVecImag_m[2] = {(FIXP_DBL)0, (FIXP_DBL)0};
        INT gammaVec_e[2] = {0, 0};

        FIXP_DBL wingain = (FIXP_DBL)0;

        gammaCenter_e[0] =
            SCALE2EXP(-hQmfTransposer->HBEAnalysiscQMF.outScalefactor);
        gammaCenter_e[1] =
            SCALE2EXP(-hQmfTransposer->HBEAnalysiscQMF.outScalefactor);

        /* interpolation filters for 3rd order */
        sourceband = 2 * band / stretch - qmfOffset;
        FDK_ASSERT(sourceband >= 0);

        /* maximum gammaCenter_e == 20 */
        calculateCenterFIXP(
            hQmfTransposer->qmfInBufReal_F[slotOffset][sourceband],
            hQmfTransposer->qmfInBufImag_F[slotOffset][sourceband],
            &gammaCenterReal_m[0], &gammaCenterImag_m[0], &gammaCenter_e[0],
            stretch, stretch - 2);

        if (stretch == 4) {
          r = band - 2 * (band / 2);
          sourceband += (r == 0) ? -1 : 1;
          pSlotStretch = slot_stretch4;
          factor = FL2FXCONST_DBL(2.f / 3.f);
          pFilt = filt_dummy;
        } else if (stretch == 2) {
          r = 0;
          sourceband = 2 * band / stretch - qmfOffset;
          pSlotStretch = slot_stretch2;
          factor = FL2FXCONST_DBL(1.f / 3.f);
          pFilt = filt_dummy;
        } else {
          r = 2 * band - 3 * (2 * band / 3);
          sourceband = 2 * band / stretch - qmfOffset;
          pSlotStretch = slot_stretch3;
          factor = FL2FXCONST_DBL(1.4142f / 3.0f);
          pFilt = filt_stretch3;
        }

        if (r == 2) {
          calculateCenterFIXP(
              hQmfTransposer->qmfInBufReal_F[slotOffset][sourceband + 1],
              hQmfTransposer->qmfInBufImag_F[slotOffset][sourceband + 1],
              &gammaCenterReal_m[1], &gammaCenterImag_m[1], &gammaCenter_e[1],
              stretch, stretch - 2);

          factor = FL2FXCONST_DBL(1.4142f / 6.0f);
        }

        if (r == 2) {
          for (k = start; k < stop; k++) {
            gammaVecReal_m[0] =
                hQmfTransposer->qmfInBufReal_F[pSlotStretch[k]][sourceband];
            gammaVecReal_m[1] =
                hQmfTransposer->qmfInBufReal_F[pSlotStretch[k]][sourceband + 1];
            gammaVecImag_m[0] =
                hQmfTransposer->qmfInBufImag_F[pSlotStretch[k]][sourceband];
            gammaVecImag_m[1] =
                hQmfTransposer->qmfInBufImag_F[pSlotStretch[k]][sourceband + 1];
            gammaVec_e[0] = gammaVec_e[1] =
                SCALE2EXP(-hQmfTransposer->HBEAnalysiscQMF.outScalefactor);

            if (pFilt[k] == 1) {
              FIXP_DBL tmpRealF = gammaVecReal_m[0], tmpImagF;
              gammaVecReal_m[0] =
                  (fMult(gammaVecReal_m[0], hintReal_F[sourceband % 4][1]) -
                   fMult(gammaVecImag_m[0],
                         hintReal_F[(sourceband + 3) % 4][1])) >>
                  1; /* sum should be <= 1 because of sin/cos multiplication */
              gammaVecImag_m[0] =
                  (fMult(tmpRealF, hintReal_F[(sourceband + 3) % 4][1]) +
                   fMult(gammaVecImag_m[0], hintReal_F[sourceband % 4][1])) >>
                  1; /* sum should be <= 1 because of sin/cos multiplication */

              tmpRealF = hQmfTransposer
                             ->qmfInBufReal_F[pSlotStretch[k] + 1][sourceband];
              tmpImagF = hQmfTransposer
                             ->qmfInBufImag_F[pSlotStretch[k] + 1][sourceband];

              gammaVecReal_m[0] +=
                  (fMult(tmpRealF, hintReal_F[sourceband % 4][1]) -
                   fMult(tmpImagF, hintReal_F[(sourceband + 1) % 4][1])) >>
                  1; /* sum should be <= 1 because of sin/cos multiplication */
              gammaVecImag_m[0] +=
                  (fMult(tmpRealF, hintReal_F[(sourceband + 1) % 4][1]) +
                   fMult(tmpImagF, hintReal_F[sourceband % 4][1])) >>
                  1; /* sum should be <= 1 because of sin/cos multiplication */
              gammaVec_e[0]++;

              tmpRealF = gammaVecReal_m[1];

              gammaVecReal_m[1] =
                  (fMult(gammaVecReal_m[1], hintReal_F[sourceband % 4][2]) -
                   fMult(gammaVecImag_m[1],
                         hintReal_F[(sourceband + 3) % 4][2])) >>
                  1;
              gammaVecImag_m[1] =
                  (fMult(tmpRealF, hintReal_F[(sourceband + 3) % 4][2]) +
                   fMult(gammaVecImag_m[1], hintReal_F[sourceband % 4][2])) >>
                  1;

              tmpRealF =
                  hQmfTransposer
                      ->qmfInBufReal_F[pSlotStretch[k] + 1][sourceband + 1];
              tmpImagF =
                  hQmfTransposer
                      ->qmfInBufImag_F[pSlotStretch[k] + 1][sourceband + 1];

              gammaVecReal_m[1] +=
                  (fMult(tmpRealF, hintReal_F[sourceband % 4][2]) -
                   fMult(tmpImagF, hintReal_F[(sourceband + 1) % 4][2])) >>
                  1;
              gammaVecImag_m[1] +=
                  (fMult(tmpRealF, hintReal_F[(sourceband + 1) % 4][2]) +
                   fMult(tmpImagF, hintReal_F[sourceband % 4][2])) >>
                  1;
              gammaVec_e[1]++;
            }

            addHighBandPart(gammaVecReal_m[1], gammaVecImag_m[1], gammaVec_e[1],
                            factor, gammaCenterReal_m[0], gammaCenterImag_m[0],
                            gammaCenter_e[0], stretch, scale_factor_hbe,
                            &hQmfTransposer->qmfHBEBufReal_F[k][band],
                            &hQmfTransposer->qmfHBEBufImag_F[k][band]);

            addHighBandPart(gammaVecReal_m[0], gammaVecImag_m[0], gammaVec_e[0],
                            factor, gammaCenterReal_m[1], gammaCenterImag_m[1],
                            gammaCenter_e[1], stretch, scale_factor_hbe,
                            &hQmfTransposer->qmfHBEBufReal_F[k][band],
                            &hQmfTransposer->qmfHBEBufImag_F[k][band]);
          }
        } else {
          for (k = start; k < stop; k++) {
            gammaVecReal_m[0] =
                hQmfTransposer->qmfInBufReal_F[pSlotStretch[k]][sourceband];
            gammaVecImag_m[0] =
                hQmfTransposer->qmfInBufImag_F[pSlotStretch[k]][sourceband];
            gammaVec_e[0] =
                SCALE2EXP(-hQmfTransposer->HBEAnalysiscQMF.outScalefactor);

            if (pFilt[k] == 1) {
              FIXP_DBL tmpRealF = gammaVecReal_m[0], tmpImagF;
              gammaVecReal_m[0] =
                  (fMult(gammaVecReal_m[0], hintReal_F[sourceband % 4][1]) -
                   fMult(gammaVecImag_m[0],
                         hintReal_F[(sourceband + 3) % 4][1])) >>
                  1; /* sum should be <= 1 because of sin/cos multiplication */
              gammaVecImag_m[0] =
                  (fMult(tmpRealF, hintReal_F[(sourceband + 3) % 4][1]) +
                   fMult(gammaVecImag_m[0], hintReal_F[sourceband % 4][1])) >>
                  1; /* sum should be <= 1 because of sin/cos multiplication */

              tmpRealF = hQmfTransposer
                             ->qmfInBufReal_F[pSlotStretch[k] + 1][sourceband];
              tmpImagF = hQmfTransposer
                             ->qmfInBufImag_F[pSlotStretch[k] + 1][sourceband];

              gammaVecReal_m[0] +=
                  (fMult(tmpRealF, hintReal_F[sourceband % 4][1]) -
                   fMult(tmpImagF, hintReal_F[(sourceband + 1) % 4][1])) >>
                  1; /* sum should be <= 1 because of sin/cos multiplication */
              gammaVecImag_m[0] +=
                  (fMult(tmpRealF, hintReal_F[(sourceband + 1) % 4][1]) +
                   fMult(tmpImagF, hintReal_F[sourceband % 4][1])) >>
                  1; /* sum should be <= 1 because of sin/cos multiplication */
              gammaVec_e[0]++;
            }

            addHighBandPart(gammaVecReal_m[0], gammaVecImag_m[0], gammaVec_e[0],
                            factor, gammaCenterReal_m[0], gammaCenterImag_m[0],
                            gammaCenter_e[0], stretch, scale_factor_hbe,
                            &hQmfTransposer->qmfHBEBufReal_F[k][band],
                            &hQmfTransposer->qmfHBEBufImag_F[k][band]);
          }
        }

        /* pitchInBins is given with the resolution of a 768 bins FFT and we
         * need 64 QMF units so factor 768/64 = 12 */
        if (pitchInBins >= pmin * (1 + bSbr41)) {
          int tr, ti1, ti2, mTr = 0, ts1 = 0, ts2 = 0, mVal_e = 0, temp_e = 0;
          int sqmag0_e =
              SCALE2EXP(-hQmfTransposer->HBEAnalysiscQMF.outScalefactor);

          FIXP_DBL mVal_F = FL2FXCONST_DBL(0.f), sqmag0_F, sqmag1_F, sqmag2_F,
                   temp_F, f1_F; /* all equal exponent */
          sign = -1;

          sourceband = 2 * band / stretch - qmfOffset; /* consistent with the
                                                          already computed for
                                                          stretch = 3,4. */
          FDK_ASSERT(sourceband >= 0);

          FIXP_DBL sqmag0R_F =
              hQmfTransposer->qmfInBufReal_F[slotOffset][sourceband];
          FIXP_DBL sqmag0I_F =
              hQmfTransposer->qmfInBufImag_F[slotOffset][sourceband];
          scaleUp(&sqmag0R_F, &sqmag0I_F, &sqmag0_e);

          sqmag0_F = fPow2Div2(sqmag0R_F);
          sqmag0_F += fPow2Div2(sqmag0I_F);
          sqmag0_e = 2 * sqmag0_e + 1;

          for (tr = 1; tr < stretch; tr++) {
            int sqmag1_e =
                SCALE2EXP(-hQmfTransposer->HBEAnalysiscQMF.outScalefactor);
            int sqmag2_e =
                SCALE2EXP(-hQmfTransposer->HBEAnalysiscQMF.outScalefactor);

            FIXP_DBL tmp_band = band_F[band];
            FIXP_DBL tr_p =
                fMult(p_F[pitchInBins] >> bSbr41, tr_str[tr - 1]); /* scale 7 */
            f1_F =
                fMult(tmp_band - tr_p, stretchfac[stretch - 2]); /* scale 7 */
            ti1 = (INT)(f1_F >> (DFRACT_BITS - 1 - 7)) - qmfOffset;
            ti2 = (INT)(((f1_F) + ((p_F[pitchInBins] >> bSbr41) >> 2)) >>
                        (DFRACT_BITS - 1 - 7)) -
                  qmfOffset;

            if (ti1 >= 0 && ti2 < 2 * hQmfTransposer->synthSize) {
              FIXP_DBL sqmag1R_F =
                  hQmfTransposer->qmfInBufReal_F[slotOffset][ti1];
              FIXP_DBL sqmag1I_F =
                  hQmfTransposer->qmfInBufImag_F[slotOffset][ti1];
              scaleUp(&sqmag1R_F, &sqmag1I_F, &sqmag1_e);
              sqmag1_F = fPow2Div2(sqmag1R_F);
              sqmag1_F += fPow2Div2(sqmag1I_F);
              sqmag1_e = 2 * sqmag1_e + 1;

              FIXP_DBL sqmag2R_F =
                  hQmfTransposer->qmfInBufReal_F[slotOffset][ti2];
              FIXP_DBL sqmag2I_F =
                  hQmfTransposer->qmfInBufImag_F[slotOffset][ti2];
              scaleUp(&sqmag2R_F, &sqmag2I_F, &sqmag2_e);
              sqmag2_F = fPow2Div2(sqmag2R_F);
              sqmag2_F += fPow2Div2(sqmag2I_F);
              sqmag2_e = 2 * sqmag2_e + 1;

              int shift1 = fMin(fMax(sqmag1_e, sqmag2_e) - sqmag1_e, 31);
              int shift2 = fMin(fMax(sqmag1_e, sqmag2_e) - sqmag2_e, 31);

              temp_F = fMin((sqmag1_F >> shift1), (sqmag2_F >> shift2));
              temp_e = fMax(sqmag1_e, sqmag2_e);

              int shift3 = fMin(fMax(temp_e, mVal_e) - temp_e, 31);
              int shift4 = fMin(fMax(temp_e, mVal_e) - mVal_e, 31);

              if ((temp_F >> shift3) > (mVal_F >> shift4)) {
                mVal_F = temp_F;
                mVal_e = temp_e; /* equals sqmag2_e + shift2 */
                mTr = tr;
                ts1 = ti1;
                ts2 = ti2;
              }
            }
          }

          int shift1 = fMin(fMax(sqmag0_e, mVal_e) - sqmag0_e, 31);
          int shift2 = fMin(fMax(sqmag0_e, mVal_e) - mVal_e, 31);

          if ((mVal_F >> shift2) > (sqmag0_F >> shift1) && ts1 >= 0 &&
              ts2 < 2 * hQmfTransposer->synthSize) {
            INT gammaOut_e[2];
            FIXP_DBL gammaOutReal_m[2], gammaOutImag_m[2];
            FIXP_DBL tmpReal_m = (FIXP_DBL)0, tmpImag_m = (FIXP_DBL)0;

            int Tcenter, Tvec;

            Tcenter = stretch - mTr; /* default phase power parameters */
            Tvec = mTr;
            switch (stretch) /* 2 tap block creation design depends on stretch
                                order */
            {
              case 2:
                wingain =
                    FL2FXCONST_DBL(5.f / 12.f); /* sum of taps divided by two */

                if (hQmfTransposer->bXProducts[0]) {
                  gammaCenterReal_m[0] =
                      hQmfTransposer->qmfInBufReal_F[slotOffset][ts1];
                  gammaCenterImag_m[0] =
                      hQmfTransposer->qmfInBufImag_F[slotOffset][ts1];

                  for (k = 0; k < 2; k++) {
                    gammaVecReal_m[k] =
                        hQmfTransposer->qmfInBufReal_F[slotOffset - 1 + k][ts2];
                    gammaVecImag_m[k] =
                        hQmfTransposer->qmfInBufImag_F[slotOffset - 1 + k][ts2];
                  }

                  gammaCenter_e[0] = SCALE2EXP(
                      -hQmfTransposer->HBEAnalysiscQMF.outScalefactor);
                  gammaVec_e[0] = gammaVec_e[1] = SCALE2EXP(
                      -hQmfTransposer->HBEAnalysiscQMF.outScalefactor);
                }
                break;

              case 4:
                wingain =
                    FL2FXCONST_DBL(6.f / 12.f); /* sum of taps divided by two */
                if (hQmfTransposer->bXProducts[2]) {
                  if (mTr == 1) {
                    gammaCenterReal_m[0] =
                        hQmfTransposer->qmfInBufReal_F[slotOffset][ts1];
                    gammaCenterImag_m[0] =
                        hQmfTransposer->qmfInBufImag_F[slotOffset][ts1];

                    for (k = 0; k < 2; k++) {
                      gammaVecReal_m[k] =
                          hQmfTransposer
                              ->qmfInBufReal_F[slotOffset + 2 * (k - 1)][ts2];
                      gammaVecImag_m[k] =
                          hQmfTransposer
                              ->qmfInBufImag_F[slotOffset + 2 * (k - 1)][ts2];
                    }
                  } else if (mTr == 2) {
                    gammaCenterReal_m[0] =
                        hQmfTransposer->qmfInBufReal_F[slotOffset][ts1];
                    gammaCenterImag_m[0] =
                        hQmfTransposer->qmfInBufImag_F[slotOffset][ts1];

                    for (k = 0; k < 2; k++) {
                      gammaVecReal_m[k] =
                          hQmfTransposer
                              ->qmfInBufReal_F[slotOffset + (k - 1)][ts2];
                      gammaVecImag_m[k] =
                          hQmfTransposer
                              ->qmfInBufImag_F[slotOffset + (k - 1)][ts2];
                    }
                  } else /* (mTr == 3) */
                  {
                    sign = 1;
                    Tcenter = mTr; /* opposite phase power parameters as ts2 is
                                      center */
                    Tvec = stretch - mTr;

                    gammaCenterReal_m[0] =
                        hQmfTransposer->qmfInBufReal_F[slotOffset][ts2];
                    gammaCenterImag_m[0] =
                        hQmfTransposer->qmfInBufImag_F[slotOffset][ts2];

                    for (k = 0; k < 2; k++) {
                      gammaVecReal_m[k] =
                          hQmfTransposer
                              ->qmfInBufReal_F[slotOffset + 2 * (k - 1)][ts1];
                      gammaVecImag_m[k] =
                          hQmfTransposer
                              ->qmfInBufImag_F[slotOffset + 2 * (k - 1)][ts1];
                    }
                  }

                  gammaCenter_e[0] = SCALE2EXP(
                      -hQmfTransposer->HBEAnalysiscQMF.outScalefactor);
                  gammaVec_e[0] = gammaVec_e[1] = SCALE2EXP(
                      -hQmfTransposer->HBEAnalysiscQMF.outScalefactor);
                }
                break;

              case 3:
                wingain = FL2FXCONST_DBL(5.6568f /
                                         12.f); /* sum of taps divided by two */

                if (hQmfTransposer->bXProducts[1]) {
                  FIXP_DBL tmpReal_F, tmpImag_F;
                  if (mTr == 1) {
                    gammaCenterReal_m[0] =
                        hQmfTransposer->qmfInBufReal_F[slotOffset][ts1];
                    gammaCenterImag_m[0] =
                        hQmfTransposer->qmfInBufImag_F[slotOffset][ts1];
                    gammaVecReal_m[1] =
                        hQmfTransposer->qmfInBufReal_F[slotOffset][ts2];
                    gammaVecImag_m[1] =
                        hQmfTransposer->qmfInBufImag_F[slotOffset][ts2];

                    addrshift = -2;
                    tmpReal_F =
                        hQmfTransposer
                            ->qmfInBufReal_F[addrshift + slotOffset][ts2];
                    tmpImag_F =
                        hQmfTransposer
                            ->qmfInBufImag_F[addrshift + slotOffset][ts2];

                    gammaVecReal_m[0] =
                        (fMult(factors[ts2 % 4], tmpReal_F) -
                         fMult(factors[(ts2 + 3) % 4], tmpImag_F)) >>
                        1;
                    gammaVecImag_m[0] =
                        (fMult(factors[(ts2 + 3) % 4], tmpReal_F) +
                         fMult(factors[ts2 % 4], tmpImag_F)) >>
                        1;

                    tmpReal_F =
                        hQmfTransposer
                            ->qmfInBufReal_F[addrshift + 1 + slotOffset][ts2];
                    tmpImag_F =
                        hQmfTransposer
                            ->qmfInBufImag_F[addrshift + 1 + slotOffset][ts2];

                    gammaVecReal_m[0] +=
                        (fMult(factors[ts2 % 4], tmpReal_F) -
                         fMult(factors[(ts2 + 1) % 4], tmpImag_F)) >>
                        1;
                    gammaVecImag_m[0] +=
                        (fMult(factors[(ts2 + 1) % 4], tmpReal_F) +
                         fMult(factors[ts2 % 4], tmpImag_F)) >>
                        1;

                  } else /* (mTr == 2) */
                  {
                    sign = 1;
                    Tcenter = mTr; /* opposite phase power parameters as ts2 is
                                      center */
                    Tvec = stretch - mTr;

                    gammaCenterReal_m[0] =
                        hQmfTransposer->qmfInBufReal_F[slotOffset][ts2];
                    gammaCenterImag_m[0] =
                        hQmfTransposer->qmfInBufImag_F[slotOffset][ts2];
                    gammaVecReal_m[1] =
                        hQmfTransposer->qmfInBufReal_F[slotOffset][ts1];
                    gammaVecImag_m[1] =
                        hQmfTransposer->qmfInBufImag_F[slotOffset][ts1];

                    addrshift = -2;
                    tmpReal_F =
                        hQmfTransposer
                            ->qmfInBufReal_F[addrshift + slotOffset][ts1];
                    tmpImag_F =
                        hQmfTransposer
                            ->qmfInBufImag_F[addrshift + slotOffset][ts1];

                    gammaVecReal_m[0] =
                        (fMult(factors[ts1 % 4], tmpReal_F) -
                         fMult(factors[(ts1 + 3) % 4], tmpImag_F)) >>
                        1;
                    gammaVecImag_m[0] =
                        (fMult(factors[(ts1 + 3) % 4], tmpReal_F) +
                         fMult(factors[ts1 % 4], tmpImag_F)) >>
                        1;

                    tmpReal_F =
                        hQmfTransposer
                            ->qmfInBufReal_F[addrshift + 1 + slotOffset][ts1];
                    tmpImag_F =
                        hQmfTransposer
                            ->qmfInBufImag_F[addrshift + 1 + slotOffset][ts1];

                    gammaVecReal_m[0] +=
                        (fMult(factors[ts1 % 4], tmpReal_F) -
                         fMult(factors[(ts1 + 1) % 4], tmpImag_F)) >>
                        1;
                    gammaVecImag_m[0] +=
                        (fMult(factors[(ts1 + 1) % 4], tmpReal_F) +
                         fMult(factors[ts1 % 4], tmpImag_F)) >>
                        1;
                  }

                  gammaCenter_e[0] = gammaVec_e[1] = SCALE2EXP(
                      -hQmfTransposer->HBEAnalysiscQMF.outScalefactor);
                  gammaVec_e[0] =
                      SCALE2EXP(
                          -hQmfTransposer->HBEAnalysiscQMF.outScalefactor) +
                      1;
                }
                break;
              default:
                FDK_ASSERT(0);
                break;
            } /* stretch cases */

            /* parameter controlled phase modification parts */
            /* maximum *_e == 20 */
            calculateCenterFIXP(gammaCenterReal_m[0], gammaCenterImag_m[0],
                                &gammaCenterReal_m[0], &gammaCenterImag_m[0],
                                &gammaCenter_e[0], stretch, Tcenter - 1);
            calculateCenterFIXP(gammaVecReal_m[0], gammaVecImag_m[0],
                                &gammaVecReal_m[0], &gammaVecImag_m[0],
                                &gammaVec_e[0], stretch, Tvec - 1);
            calculateCenterFIXP(gammaVecReal_m[1], gammaVecImag_m[1],
                                &gammaVecReal_m[1], &gammaVecImag_m[1],
                                &gammaVec_e[1], stretch, Tvec - 1);

            /*    Final multiplication of prepared parts  */
            for (k = 0; k < 2; k++) {
              gammaOutReal_m[k] =
                  fMultDiv2(gammaVecReal_m[k], gammaCenterReal_m[0]) -
                  fMultDiv2(gammaVecImag_m[k], gammaCenterImag_m[0]);
              gammaOutImag_m[k] =
                  fMultDiv2(gammaVecReal_m[k], gammaCenterImag_m[0]) +
                  fMultDiv2(gammaVecImag_m[k], gammaCenterReal_m[0]);
              gammaOut_e[k] = gammaCenter_e[0] + gammaVec_e[k] + 1;
            }

            scaleUp(&gammaOutReal_m[0], &gammaOutImag_m[0], &gammaOut_e[0]);
            scaleUp(&gammaOutReal_m[1], &gammaOutImag_m[1], &gammaOut_e[1]);
            FDK_ASSERT(gammaOut_e[0] >= 0);
            FDK_ASSERT(gammaOut_e[0] < 32);

            tmpReal_m = gammaOutReal_m[0];
            tmpImag_m = gammaOutImag_m[0];

            INT modstretch4 = ((stretch == 4) && (mTr == 2));

            FIXP_DBL cos_twid = twid_m_new[stretch - 2 - modstretch4][0];
            FIXP_DBL sin_twid = sign * twid_m_new[stretch - 2 - modstretch4][1];

            gammaOutReal_m[0] =
                fMult(tmpReal_m, cos_twid) -
                fMult(tmpImag_m, sin_twid); /* sum should be <= 1 because of
                                               sin/cos multiplication */
            gammaOutImag_m[0] =
                fMult(tmpImag_m, cos_twid) +
                fMult(tmpReal_m, sin_twid); /* sum should be <= 1 because of
                                               sin/cos multiplication */

            /* wingain */
            for (k = 0; k < 2; k++) {
              gammaOutReal_m[k] = (fMult(gammaOutReal_m[k], wingain) << 1);
              gammaOutImag_m[k] = (fMult(gammaOutImag_m[k], wingain) << 1);
            }

            gammaOutReal_m[1] >>= 1;
            gammaOutImag_m[1] >>= 1;
            gammaOut_e[0] += 2;
            gammaOut_e[1] += 2;

            /* OLA including window scaling by wingain/3 */
            for (k = 0; k < 2; k++) /* need k=1 to correspond to
                                       grainModImag[slotOffset] -> out to
                                       j*2+(slotOffset-offset)  */
            {
              hQmfTransposer->qmfHBEBufReal_F[(k + slotOffset - 1)][band] +=
                  gammaOutReal_m[k] >> (scale_factor_hbe - gammaOut_e[k]);
              hQmfTransposer->qmfHBEBufImag_F[(k + slotOffset - 1)][band] +=
                  gammaOutImag_m[k] >> (scale_factor_hbe - gammaOut_e[k]);
            }
          } /* mVal > qThrQMF * qThrQMF * sqmag0 && ts1 > 0 && ts2 < 64 */
        }   /* p >= pmin */
      }     /* for band */
    }       /* for stretch */

    for (i = 0; i < QMF_WIN_LEN - 1; i++) {
      FDKmemcpy(hQmfTransposer->qmfInBufReal_F[i],
                hQmfTransposer->qmfInBufReal_F[i + 1],
                sizeof(FIXP_DBL) * hQmfTransposer->HBEAnalysiscQMF.no_channels);
      FDKmemcpy(hQmfTransposer->qmfInBufImag_F[i],
                hQmfTransposer->qmfInBufImag_F[i + 1],
                sizeof(FIXP_DBL) * hQmfTransposer->HBEAnalysiscQMF.no_channels);
    }

    if (keepStatesSyncedMode != KEEP_STATES_SYNCED_NOOUT) {
      if (2 * j >= offset) {
        /* copy first two slots of internal buffer to output */
        if (keepStatesSyncedMode == KEEP_STATES_SYNCED_OUTDIFF) {
          for (i = 0; i < 2; i++) {
            FDKmemcpy(&ppQmfBufferOutReal_F[2 * j - offset + i]
                                           [hQmfTransposer->xOverQmf[0]],
                      &hQmfTransposer
                           ->qmfHBEBufReal_F[i][hQmfTransposer->xOverQmf[0]],
                      (QMF_SYNTH_CHANNELS - hQmfTransposer->xOverQmf[0]) *
                          sizeof(FIXP_DBL));
            FDKmemcpy(&ppQmfBufferOutImag_F[2 * j - offset + i]
                                           [hQmfTransposer->xOverQmf[0]],
                      &hQmfTransposer
                           ->qmfHBEBufImag_F[i][hQmfTransposer->xOverQmf[0]],
                      (QMF_SYNTH_CHANNELS - hQmfTransposer->xOverQmf[0]) *
                          sizeof(FIXP_DBL));
          }
        } else {
          for (i = 0; i < 2; i++) {
            FDKmemcpy(&ppQmfBufferOutReal_F[2 * j + i + ov_len]
                                           [hQmfTransposer->xOverQmf[0]],
                      &hQmfTransposer
                           ->qmfHBEBufReal_F[i][hQmfTransposer->xOverQmf[0]],
                      (QMF_SYNTH_CHANNELS - hQmfTransposer->xOverQmf[0]) *
                          sizeof(FIXP_DBL));
            FDKmemcpy(&ppQmfBufferOutImag_F[2 * j + i + ov_len]
                                           [hQmfTransposer->xOverQmf[0]],
                      &hQmfTransposer
                           ->qmfHBEBufImag_F[i][hQmfTransposer->xOverQmf[0]],
                      (QMF_SYNTH_CHANNELS - hQmfTransposer->xOverQmf[0]) *
                          sizeof(FIXP_DBL));
          }
        }
      }
    }

    /* move slots up */
    for (i = 0; i < HBE_MAX_OUT_SLOTS - 2; i++) {
      FDKmemcpy(
          &hQmfTransposer->qmfHBEBufReal_F[i][hQmfTransposer->xOverQmf[0]],
          &hQmfTransposer->qmfHBEBufReal_F[i + 2][hQmfTransposer->xOverQmf[0]],
          (QMF_SYNTH_CHANNELS - hQmfTransposer->xOverQmf[0]) *
              sizeof(FIXP_DBL));
      FDKmemcpy(
          &hQmfTransposer->qmfHBEBufImag_F[i][hQmfTransposer->xOverQmf[0]],
          &hQmfTransposer->qmfHBEBufImag_F[i + 2][hQmfTransposer->xOverQmf[0]],
          (QMF_SYNTH_CHANNELS - hQmfTransposer->xOverQmf[0]) *
              sizeof(FIXP_DBL));
    }

    /* finally set last two slot to zero */
    for (i = 0; i < 2; i++) {
      FDKmemset(&hQmfTransposer->qmfHBEBufReal_F[HBE_MAX_OUT_SLOTS - 1 - i]
                                                [hQmfTransposer->xOverQmf[0]],
                0,
                (QMF_SYNTH_CHANNELS - hQmfTransposer->xOverQmf[0]) *
                    sizeof(FIXP_DBL));
      FDKmemset(&hQmfTransposer->qmfHBEBufImag_F[HBE_MAX_OUT_SLOTS - 1 - i]
                                                [hQmfTransposer->xOverQmf[0]],
                0,
                (QMF_SYNTH_CHANNELS - hQmfTransposer->xOverQmf[0]) *
                    sizeof(FIXP_DBL));
    }
  } /* qmfVocoderColsIn */

  if (keepStatesSyncedMode != KEEP_STATES_SYNCED_NOOUT) {
    if (keepStatesSyncedMode == KEEP_STATES_SYNCED_OUTDIFF) {
      for (i = 0; i < ov_len + LPC_ORDER; i++) {
        for (band = hQmfTransposer->startBand; band < hQmfTransposer->stopBand;
             band++) {
          FIXP_DBL tmpR = ppQmfBufferOutReal_F[i][band];
          FIXP_DBL tmpI = ppQmfBufferOutImag_F[i][band];

          ppQmfBufferOutReal_F[i][band] =
              fMult(tmpR, cos_F[band]) -
              fMult(tmpI, (-cos_F[64 - band - 1])); /* sum should be <= 1
                                                       because of sin/cos
                                                       multiplication */
          ppQmfBufferOutImag_F[i][band] =
              fMult(tmpR, (-cos_F[64 - band - 1])) +
              fMult(tmpI, cos_F[band]); /* sum should by <= 1 because of sin/cos
                                           multiplication */
        }
      }
    } else {
      for (i = offset; i < hQmfTransposer->noCols; i++) {
        for (band = hQmfTransposer->startBand; band < hQmfTransposer->stopBand;
             band++) {
          FIXP_DBL tmpR = ppQmfBufferOutReal_F[i + ov_len][band];
          FIXP_DBL tmpI = ppQmfBufferOutImag_F[i + ov_len][band];

          ppQmfBufferOutReal_F[i + ov_len][band] =
              fMult(tmpR, cos_F[band]) -
              fMult(tmpI, (-cos_F[64 - band - 1])); /* sum should be <= 1
                                                       because of sin/cos
                                                       multiplication */
          ppQmfBufferOutImag_F[i + ov_len][band] =
              fMult(tmpR, (-cos_F[64 - band - 1])) +
              fMult(tmpI, cos_F[band]); /* sum should by <= 1 because of sin/cos
                                           multiplication */
        }
      }
    }
  }

  *scale_hb = EXP2SCALE(scale_factor_hbe);
}

int* GetxOverBandQmfTransposer(HANDLE_HBE_TRANSPOSER hQmfTransposer) {
  if (hQmfTransposer)
    return hQmfTransposer->xOverQmf;
  else
    return NULL;
}

int Get41SbrQmfTransposer(HANDLE_HBE_TRANSPOSER hQmfTransposer) {
  if (hQmfTransposer != NULL)
    return hQmfTransposer->bSbr41;
  else
    return 0;
}

Coverage Report

Created: 2025-07-11 06:54