path: root/libFDK/src/FDK_hybrid.cpp

/* -----------------------------------------------------------------------------------------------------------
Software License for The Fraunhofer FDK AAC Codec Library for Android

� Copyright  1995 - 2013 Fraunhofer-Gesellschaft zur F�rderung der angewandten Forschung e.V.
  All rights reserved.

 1.    INTRODUCTION
The Fraunhofer FDK AAC Codec Library for Android ("FDK AAC Codec") is software that implements
the MPEG Advanced Audio Coding ("AAC") encoding and decoding scheme for digital audio.
This FDK AAC Codec software is intended to be used on a wide variety of Android devices.

AAC's HE-AAC and HE-AAC v2 versions are regarded as today's most efficient general perceptual
audio codecs. AAC-ELD is considered the best-performing full-bandwidth communications codec by
independent studies and is widely deployed. AAC has been standardized by ISO and IEC as part
of the MPEG specifications.

Patent licenses for necessary patent claims for the FDK AAC Codec (including those of Fraunhofer)
may be obtained through Via Licensing (www.vialicensing.com) or through the respective patent owners
individually for the purpose of encoding or decoding bit streams in products that are compliant with
the ISO/IEC MPEG audio standards. Please note that most manufacturers of Android devices already license
these patent claims through Via Licensing or directly from the patent owners, and therefore FDK AAC Codec
software may already be covered under those patent licenses when it is used for those licensed purposes only.

Commercially-licensed AAC software libraries, including floating-point versions with enhanced sound quality,
are also available from Fraunhofer. Users are encouraged to check the Fraunhofer website for additional
applications information and documentation.

2.    COPYRIGHT LICENSE

Redistribution and use in source and binary forms, with or without modification, are permitted without
payment of copyright license fees provided that you satisfy the following conditions:

You must retain the complete text of this software license in redistributions of the FDK AAC Codec or
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You must make available free of charge copies of the complete source code of the FDK AAC Codec and your
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ARE GRANTED BY THIS SOFTWARE LICENSE. Fraunhofer provides no warranty of patent non-infringement with
respect to this software.

You may use this FDK AAC Codec software or modifications thereto only for purposes that are authorized
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4.    DISCLAIMER

This FDK AAC Codec software is provided by Fraunhofer on behalf of the copyright holders and contributors
"AS IS" and WITHOUT ANY EXPRESS OR IMPLIED WARRANTIES, including but not limited to the implied warranties
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5.    CONTACT INFORMATION

Fraunhofer Institute for Integrated Circuits IIS
Attention: Audio and Multimedia Departments - FDK AAC LL
Am Wolfsmantel 33
91058 Erlangen, Germany

www.iis.fraunhofer.de/amm
amm-info@iis.fraunhofer.de
----------------------------------------------------------------------------------------------------------- */

/***************************  Fraunhofer IIS FDK Tools  **********************

   Author(s): Markus Lohwasser
   Description: FDK Tools Hybrid Filterbank

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

#include "FDK_hybrid.h"


#include "fft.h"

/*--------------- defines -----------------------------*/
#define FFT_IDX_R(a)  (2*a)
#define FFT_IDX_I(a)  (2*a+1)

#define HYB_COEF8_0  ( 0.00746082949812f )
#define HYB_COEF8_1  ( 0.02270420949825f )
#define HYB_COEF8_2  ( 0.04546865930473f )
#define HYB_COEF8_3  ( 0.07266113929591f )
#define HYB_COEF8_4  ( 0.09885108575264f )
#define HYB_COEF8_5  ( 0.11793710567217f )
#define HYB_COEF8_6  ( 0.12500000000000f )
#define HYB_COEF8_7  ( HYB_COEF8_5 )
#define HYB_COEF8_8  ( HYB_COEF8_4 )
#define HYB_COEF8_9  ( HYB_COEF8_3 )
#define HYB_COEF8_10 ( HYB_COEF8_2 )
#define HYB_COEF8_11 ( HYB_COEF8_1 )
#define HYB_COEF8_12 ( HYB_COEF8_0 )


/*--------------- structure definitions ---------------*/

#if defined(ARCH_PREFER_MULT_32x16)
  #define FIXP_HTB FIXP_SGL               /* SGL data type. */
  #define FIXP_HTP FIXP_SPK               /* Packed SGL data type. */
  #define HTC(a) (FX_DBL2FXCONST_SGL(a))  /* Cast to SGL */
  #define FL2FXCONST_HTB FL2FXCONST_SGL
#else
  #define FIXP_HTB FIXP_DBL               /* SGL data type. */
  #define FIXP_HTP FIXP_DPK               /* Packed DBL data type. */
  #define HTC(a) ((FIXP_DBL)(LONG)(a))    /* Cast to DBL */
  #define FL2FXCONST_HTB FL2FXCONST_DBL
#endif

#define HTCP(real,imag) { { HTC(real), HTC(imag) } } /* How to arrange the packed values. */


struct FDK_HYBRID_SETUP
{
    UCHAR               nrQmfBands;          /*!< Number of QMF bands to be converted to hybrid. */
    UCHAR               nHybBands[3];        /*!< Number of Hybrid bands generated by nrQmfBands. */
    SCHAR               kHybrid[3];          /*!< Filter configuration of each QMF band. */
    UCHAR               protoLen;            /*!< Prototype filter length. */
    UCHAR               filterDelay;         /*!< Delay caused by hybrid filter. */
    const INT          *pReadIdxTable;       /*!< Helper table to access input data ringbuffer. */

};

/*--------------- constants ---------------------------*/
static const INT ringbuffIdxTab[2*13] = { 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12 };

static const FDK_HYBRID_SETUP setup_3_16 = { 3, { 8, 4, 4}, {  8,  4,  4}, 13, (13-1)/2, ringbuffIdxTab};
static const FDK_HYBRID_SETUP setup_3_12 = { 3, { 8, 2, 2}, {  8,  2,  2}, 13, (13-1)/2, ringbuffIdxTab};
static const FDK_HYBRID_SETUP setup_3_10 = { 3, { 6, 2, 2}, { -8, -2,  2}, 13, (13-1)/2, ringbuffIdxTab};


static const FIXP_HTP HybFilterCoef8[] = {
  HTCP(0x10000000, 0x00000000), HTCP(0x0df26407, 0xfa391882), HTCP(0xff532109, 0x00acdef7), HTCP(0x08f26d36, 0xf70d92ca),
  HTCP(0xfee34b5f, 0x02af570f), HTCP(0x038f276e, 0xf7684793), HTCP(0x00000000, 0x05d1eac2), HTCP(0x00000000, 0x05d1eac2),
  HTCP(0x038f276e, 0x0897b86d), HTCP(0xfee34b5f, 0xfd50a8f1), HTCP(0x08f26d36, 0x08f26d36), HTCP(0xff532109, 0xff532109),
  HTCP(0x0df26407, 0x05c6e77e)
};

static const FIXP_HTB HybFilterCoef2[13] = {
  FL2FXCONST_HTB( 0.00000000000000f), FL2FXCONST_HTB( 0.01899487526049f), FL2FXCONST_HTB( 0.00000000000000f), FL2FXCONST_HTB(-0.07293139167538f), FL2FXCONST_HTB( 0.00000000000000f), FL2FXCONST_HTB( 0.30596630545168f),
  FL2FXCONST_HTB( 0.50000000000000f), FL2FXCONST_HTB( 0.30596630545168f), FL2FXCONST_HTB( 0.00000000000000f), FL2FXCONST_HTB(-0.07293139167538f), FL2FXCONST_HTB( 0.00000000000000f), FL2FXCONST_HTB( 0.01899487526049f),
  FL2FXCONST_HTB( 0.00000000000000f)
};

static const FIXP_HTB HybFilterCoef4[13] = {
  FL2FXCONST_HTB(-0.00305151927305f), FL2FXCONST_HTB(-0.00794862316203f), FL2FXCONST_HTB(              0.0f), FL2FXCONST_HTB( 0.04318924038756f), FL2FXCONST_HTB( 0.12542448210445f), FL2FXCONST_HTB( 0.21227807049160f),
  FL2FXCONST_HTB(             0.25f), FL2FXCONST_HTB( 0.21227807049160f), FL2FXCONST_HTB( 0.12542448210445f), FL2FXCONST_HTB( 0.04318924038756f), FL2FXCONST_HTB(              0.0f), FL2FXCONST_HTB(-0.00794862316203f),
  FL2FXCONST_HTB(-0.00305151927305f)
};

/*--------------- function declarations ---------------*/
static INT kChannelFiltering(
        const FIXP_DBL *const      pQmfReal,
        const FIXP_DBL *const      pQmfImag,
        const INT *const           pReadIdx,
        FIXP_DBL *const            mHybridReal,
        FIXP_DBL *const            mHybridImag,
        const SCHAR                hybridConfig
        );


/*--------------- function definitions ----------------*/

INT FDKhybridAnalysisOpen(
        HANDLE_FDK_ANA_HYB_FILTER  hAnalysisHybFilter,
        FIXP_DBL *const            pLFmemory,
        const UINT                 LFmemorySize,
        FIXP_DBL *const            pHFmemory,
        const UINT                 HFmemorySize
        )
{
  INT err = 0;

  /* Save pointer to extern memory. */
  hAnalysisHybFilter->pLFmemory    = pLFmemory;
  hAnalysisHybFilter->LFmemorySize = LFmemorySize;

  hAnalysisHybFilter->pHFmemory    = pHFmemory;
  hAnalysisHybFilter->HFmemorySize = HFmemorySize;

  return err;
}

INT FDKhybridAnalysisInit(
        HANDLE_FDK_ANA_HYB_FILTER  hAnalysisHybFilter,
        const FDK_HYBRID_MODE      mode,
        const INT                  qmfBands,
        const INT                  cplxBands,
        const INT                  initStatesFlag
        )
{
    int k;
    INT err = 0;
    FIXP_DBL *pMem = NULL;
    HANDLE_FDK_HYBRID_SETUP setup = NULL;

    switch (mode) {
      case THREE_TO_TEN:     setup = (HANDLE_FDK_HYBRID_SETUP)&setup_3_10; break;
      case THREE_TO_TWELVE:  setup = (HANDLE_FDK_HYBRID_SETUP)&setup_3_12; break;
      case THREE_TO_SIXTEEN: setup = (HANDLE_FDK_HYBRID_SETUP)&setup_3_16; break;
      default:               err = -1; goto bail;
    }

    /* Initialize handle. */
    hAnalysisHybFilter->pSetup      = setup;
    hAnalysisHybFilter->bufferLFpos = setup->protoLen-1;
    hAnalysisHybFilter->bufferHFpos = 0;
    hAnalysisHybFilter->nrBands     = qmfBands;
    hAnalysisHybFilter->cplxBands   = cplxBands;
    hAnalysisHybFilter->hfMode      = 0;

    /* Check available memory. */
    if ( ((2*setup->nrQmfBands*setup->protoLen*sizeof(FIXP_DBL)) > hAnalysisHybFilter->LFmemorySize)
      || ((setup->filterDelay*((qmfBands-setup->nrQmfBands)+(cplxBands-setup->nrQmfBands))*sizeof(FIXP_DBL)) > hAnalysisHybFilter->HFmemorySize) )
    {
      err = -2;
      goto bail;
    }

    /* Distribut LF memory. */
    pMem = hAnalysisHybFilter->pLFmemory;
    for (k=0; k<setup->nrQmfBands; k++) {
      hAnalysisHybFilter->bufferLFReal[k] = pMem; pMem += setup->protoLen;
      hAnalysisHybFilter->bufferLFImag[k] = pMem; pMem += setup->protoLen;
    }

    /* Distribut HF memory. */
    pMem = hAnalysisHybFilter->pHFmemory;
    for (k=0; k<setup->filterDelay; k++) {
      hAnalysisHybFilter->bufferHFReal[k] = pMem; pMem += (qmfBands-setup->nrQmfBands);
      hAnalysisHybFilter->bufferHFImag[k] = pMem; pMem += (cplxBands-setup->nrQmfBands);
    }

    if (initStatesFlag) {
      /* Clear LF buffer */
      for (k=0; k<setup->nrQmfBands; k++) {
        FDKmemclear(hAnalysisHybFilter->bufferLFReal[k], setup->protoLen*sizeof(FIXP_DBL));
        FDKmemclear(hAnalysisHybFilter->bufferLFImag[k], setup->protoLen*sizeof(FIXP_DBL));
      }

      if (qmfBands > setup->nrQmfBands) {
      /* Clear HF buffer */
      for (k=0; k<setup->filterDelay; k++) {
        FDKmemclear(hAnalysisHybFilter->bufferHFReal[k], (qmfBands-setup->nrQmfBands)*sizeof(FIXP_DBL));
        FDKmemclear(hAnalysisHybFilter->bufferHFImag[k], (cplxBands-setup->nrQmfBands)*sizeof(FIXP_DBL));
      }
    }
    }

bail:
    return err;
}

INT FDKhybridAnalysisScaleStates(
        HANDLE_FDK_ANA_HYB_FILTER  hAnalysisHybFilter,
        const INT                  scalingValue
        )
{
    INT err = 0;

    if (hAnalysisHybFilter==NULL) {
      err = 1; /* invalid handle */
    }
    else {
      int k;
      HANDLE_FDK_HYBRID_SETUP setup = hAnalysisHybFilter->pSetup;

      /* Scale LF buffer */
      for (k=0; k<setup->nrQmfBands; k++) {
        scaleValues(hAnalysisHybFilter->bufferLFReal[k], setup->protoLen, scalingValue);
        scaleValues(hAnalysisHybFilter->bufferLFImag[k], setup->protoLen, scalingValue);
      }
      if (hAnalysisHybFilter->nrBands > setup->nrQmfBands) {
        /* Scale HF buffer */
        for (k=0; k<setup->filterDelay; k++) {
          scaleValues(hAnalysisHybFilter->bufferHFReal[k], (hAnalysisHybFilter->nrBands-setup->nrQmfBands), scalingValue);
          scaleValues(hAnalysisHybFilter->bufferHFImag[k], (hAnalysisHybFilter->cplxBands-setup->nrQmfBands), scalingValue);
        }
      }
    }
    return err;
}

INT FDKhybridAnalysisApply(
        HANDLE_FDK_ANA_HYB_FILTER  hAnalysisHybFilter,
        const FIXP_DBL *const      pQmfReal,
        const FIXP_DBL *const      pQmfImag,
        FIXP_DBL *const            pHybridReal,
        FIXP_DBL *const            pHybridImag)
{
    int k, hybOffset = 0;
    INT err = 0;
    const int nrQmfBandsLF = hAnalysisHybFilter->pSetup->nrQmfBands; /* number of QMF bands to be converted to hybrid */

    const int writIndex = hAnalysisHybFilter->bufferLFpos;
    int readIndex = hAnalysisHybFilter->bufferLFpos;

    if (++readIndex>=hAnalysisHybFilter->pSetup->protoLen) readIndex = 0;
    const INT* pBufferLFreadIdx = &hAnalysisHybFilter->pSetup->pReadIdxTable[readIndex];

    /*
     * LF buffer.
     */
    for (k=0; k<nrQmfBandsLF; k++) {
        /* New input sample. */
        hAnalysisHybFilter->bufferLFReal[k][writIndex] = pQmfReal[k];
        hAnalysisHybFilter->bufferLFImag[k][writIndex] = pQmfImag[k];

    /* Perform hybrid filtering. */
        kChannelFiltering(
                hAnalysisHybFilter->bufferLFReal[k],
                hAnalysisHybFilter->bufferLFImag[k],
                pBufferLFreadIdx,
                pHybridReal+hybOffset,
                pHybridImag+hybOffset,
                hAnalysisHybFilter->pSetup->kHybrid[k]);

        hybOffset += hAnalysisHybFilter->pSetup->nHybBands[k];
    }

    hAnalysisHybFilter->bufferLFpos = readIndex; /* Index where to write next input sample. */

    if (hAnalysisHybFilter->nrBands > nrQmfBandsLF) {
    /*
     * HF buffer.
     */
    if (hAnalysisHybFilter->hfMode!=0) {
        /* HF delay compensation was applied outside. */
        FDKmemcpy(pHybridReal+hybOffset, &pQmfReal[nrQmfBandsLF], (hAnalysisHybFilter->nrBands-nrQmfBandsLF)*sizeof(FIXP_DBL));
        FDKmemcpy(pHybridImag+hybOffset, &pQmfImag[nrQmfBandsLF], (hAnalysisHybFilter->cplxBands-nrQmfBandsLF)*sizeof(FIXP_DBL));
    }
    else {
        /* HF delay compensation, filterlength/2. */
    FDKmemcpy(pHybridReal+hybOffset, hAnalysisHybFilter->bufferHFReal[hAnalysisHybFilter->bufferHFpos], (hAnalysisHybFilter->nrBands-nrQmfBandsLF)*sizeof(FIXP_DBL));
    FDKmemcpy(pHybridImag+hybOffset, hAnalysisHybFilter->bufferHFImag[hAnalysisHybFilter->bufferHFpos], (hAnalysisHybFilter->cplxBands-nrQmfBandsLF)*sizeof(FIXP_DBL));

    FDKmemcpy(hAnalysisHybFilter->bufferHFReal[hAnalysisHybFilter->bufferHFpos], &pQmfReal[nrQmfBandsLF], (hAnalysisHybFilter->nrBands-nrQmfBandsLF)*sizeof(FIXP_DBL));
    FDKmemcpy(hAnalysisHybFilter->bufferHFImag[hAnalysisHybFilter->bufferHFpos], &pQmfImag[nrQmfBandsLF], (hAnalysisHybFilter->cplxBands-nrQmfBandsLF)*sizeof(FIXP_DBL));

    if (++hAnalysisHybFilter->bufferHFpos>=hAnalysisHybFilter->pSetup->filterDelay) hAnalysisHybFilter->bufferHFpos = 0;
    }
    } /* process HF part*/

    return err;
}

INT FDKhybridAnalysisClose(
        HANDLE_FDK_ANA_HYB_FILTER hAnalysisHybFilter
        )
{
  INT err = 0;

  if (hAnalysisHybFilter != NULL) {
    hAnalysisHybFilter->pLFmemory    = NULL;
    hAnalysisHybFilter->pHFmemory    = NULL;
    hAnalysisHybFilter->LFmemorySize = 0;
    hAnalysisHybFilter->HFmemorySize = 0;
  }

  return err;
}

INT FDKhybridSynthesisInit(
        HANDLE_FDK_SYN_HYB_FILTER  hSynthesisHybFilter,
        const FDK_HYBRID_MODE      mode,
        const INT                  qmfBands,
        const INT                  cplxBands
        )
{
    INT err = 0;
    HANDLE_FDK_HYBRID_SETUP setup = NULL;

    switch (mode) {
      case THREE_TO_TEN:     setup = (HANDLE_FDK_HYBRID_SETUP)&setup_3_10; break;
      case THREE_TO_TWELVE:  setup = (HANDLE_FDK_HYBRID_SETUP)&setup_3_12; break;
      case THREE_TO_SIXTEEN: setup = (HANDLE_FDK_HYBRID_SETUP)&setup_3_16; break;
      default:               err = -1; goto bail;
    }

    hSynthesisHybFilter->pSetup      = setup;
    hSynthesisHybFilter->nrBands     = qmfBands;
    hSynthesisHybFilter->cplxBands   = cplxBands;

bail:
    return err;
}


INT FDKhybridSynthesisApply(
        HANDLE_FDK_SYN_HYB_FILTER  hSynthesisHybFilter,
        const FIXP_DBL *const      pHybridReal,
        const FIXP_DBL *const      pHybridImag,
        FIXP_DBL *const            pQmfReal,
        FIXP_DBL *const            pQmfImag
        )
{
    int k, n, hybOffset=0;
    INT err = 0;
    const INT nrQmfBandsLF = hSynthesisHybFilter->pSetup->nrQmfBands;

    /*
     * LF buffer.
     */
    for (k=0; k<nrQmfBandsLF; k++) {
      const int nHybBands = hSynthesisHybFilter->pSetup->nHybBands[k];

      FIXP_DBL accu1 = FL2FXCONST_DBL(0.f);
      FIXP_DBL accu2 = FL2FXCONST_DBL(0.f);

      /* Perform hybrid filtering. */
      for (n=0; n<nHybBands; n++) {
          accu1 += pHybridReal[hybOffset+n];
          accu2 += pHybridImag[hybOffset+n];
      }
      pQmfReal[k] = accu1;
      pQmfImag[k] = accu2;

      hybOffset += nHybBands;
    }

    if (hSynthesisHybFilter->nrBands > nrQmfBandsLF) {
      /*
       * HF buffer.
       */
    FDKmemcpy(&pQmfReal[nrQmfBandsLF], &pHybridReal[hybOffset], (hSynthesisHybFilter->nrBands-nrQmfBandsLF)*sizeof(FIXP_DBL));
    FDKmemcpy(&pQmfImag[nrQmfBandsLF], &pHybridImag[hybOffset], (hSynthesisHybFilter->cplxBands-nrQmfBandsLF)*sizeof(FIXP_DBL));
    }

    return err;
}

static void dualChannelFiltering(
        const FIXP_DBL *const      pQmfReal,
        const FIXP_DBL *const      pQmfImag,
        const INT *const           pReadIdx,
        FIXP_DBL *const            mHybridReal,
        FIXP_DBL *const            mHybridImag,
        const INT                  invert
        )
{
    const FIXP_HTB *p = HybFilterCoef2;

    FIXP_DBL  r1, r6;
    FIXP_DBL  i1, i6;

    /* symmetric filter coefficients */
    r1  = fMultDiv2(p[1], pQmfReal[pReadIdx[1]]) + fMultDiv2(p[1], pQmfReal[pReadIdx[11]]) ;
    i1  = fMultDiv2(p[1], pQmfImag[pReadIdx[1]]) + fMultDiv2(p[1], pQmfImag[pReadIdx[11]]) ;
    r1 += fMultDiv2(p[3], pQmfReal[pReadIdx[3]]) + fMultDiv2(p[3], pQmfReal[pReadIdx[ 9]]) ;
    i1 += fMultDiv2(p[3], pQmfImag[pReadIdx[3]]) + fMultDiv2(p[3], pQmfImag[pReadIdx[ 9]]) ;
    r1 += fMultDiv2(p[5], pQmfReal[pReadIdx[5]]) + fMultDiv2(p[5], pQmfReal[pReadIdx[ 7]]) ;
    i1 += fMultDiv2(p[5], pQmfImag[pReadIdx[5]]) + fMultDiv2(p[5], pQmfImag[pReadIdx[ 7]]) ;
    r6  = fMultDiv2(p[6], pQmfReal[pReadIdx[6]]) ;
    i6  = fMultDiv2(p[6], pQmfImag[pReadIdx[6]]) ;

    if (invert) {
      mHybridReal[1] = (r1 + r6) << 1;
      mHybridImag[1] = (i1 + i6) << 1;

      mHybridReal[0] = (r6 - r1) << 1;
      mHybridImag[0] = (i6 - i1) << 1;
    }
    else {
      mHybridReal[0] = (r1 + r6) << 1;
      mHybridImag[0] = (i1 + i6) << 1;

      mHybridReal[1] = (r6 - r1) << 1;
      mHybridImag[1] = (i6 - i1) << 1;
    }
}

static void fourChannelFiltering(
        const FIXP_DBL *const      pQmfReal,
        const FIXP_DBL *const      pQmfImag,
        const INT *const           pReadIdx,
        FIXP_DBL *const            mHybridReal,
        FIXP_DBL *const            mHybridImag,
        const INT                  invert
        )
{
    const FIXP_HTB *p = HybFilterCoef4;

    FIXP_DBL fft[8];

    static const FIXP_DBL  cr[13] = {
      FL2FXCONST_DBL(               0.f), FL2FXCONST_DBL(-0.70710678118655f), FL2FXCONST_DBL(              -1.f),
      FL2FXCONST_DBL(-0.70710678118655f), FL2FXCONST_DBL(               0.f), FL2FXCONST_DBL( 0.70710678118655f),
      FL2FXCONST_DBL(               1.f),
      FL2FXCONST_DBL( 0.70710678118655f), FL2FXCONST_DBL(               0.f), FL2FXCONST_DBL(-0.70710678118655f),
      FL2FXCONST_DBL(              -1.f), FL2FXCONST_DBL(-0.70710678118655f), FL2FXCONST_DBL(               0.f)
    };
    static const FIXP_DBL  ci[13] = {
      FL2FXCONST_DBL(              -1.f), FL2FXCONST_DBL(-0.70710678118655f), FL2FXCONST_DBL(               0.f),
      FL2FXCONST_DBL( 0.70710678118655f), FL2FXCONST_DBL(               1.f), FL2FXCONST_DBL( 0.70710678118655f),
      FL2FXCONST_DBL(               0.f),
      FL2FXCONST_DBL(-0.70710678118655f), FL2FXCONST_DBL(              -1.f), FL2FXCONST_DBL(-0.70710678118655f),
      FL2FXCONST_DBL(               0.f), FL2FXCONST_DBL( 0.70710678118655f), FL2FXCONST_DBL(               1.f)
    };


    /* FIR filter. */
    /* pre twiddeling with pre-twiddling coefficients c[n]  */
    /* multiplication with filter coefficients p[n]         */
    /* hint: (a + ib)*(c + id) = (a*c - b*d) + i(a*d + b*c) */
    /* write to fft coefficient n'                          */
    fft[FFT_IDX_R(0)] =  ( fMult(p[10], ( fMultSub(fMultDiv2(cr[ 2], pQmfReal[pReadIdx[ 2]]), ci[ 2], pQmfImag[pReadIdx[ 2]]))) +
                           fMult(p[ 6], ( fMultSub(fMultDiv2(cr[ 6], pQmfReal[pReadIdx[ 6]]), ci[ 6], pQmfImag[pReadIdx[ 6]]))) +
                           fMult(p[ 2], ( fMultSub(fMultDiv2(cr[10], pQmfReal[pReadIdx[10]]), ci[10], pQmfImag[pReadIdx[10]]))) );
    fft[FFT_IDX_I(0)] =  ( fMult(p[10], ( fMultAdd(fMultDiv2(ci[ 2], pQmfReal[pReadIdx[ 2]]), cr[ 2], pQmfImag[pReadIdx[ 2]]))) +
                           fMult(p[ 6], ( fMultAdd(fMultDiv2(ci[ 6], pQmfReal[pReadIdx[ 6]]), cr[ 6], pQmfImag[pReadIdx[ 6]]))) +
                           fMult(p[ 2], ( fMultAdd(fMultDiv2(ci[10], pQmfReal[pReadIdx[10]]), cr[10], pQmfImag[pReadIdx[10]]))) );

    /* twiddle dee dum */
    fft[FFT_IDX_R(1)] =  ( fMult(p[ 9], ( fMultSub(fMultDiv2(cr[ 3], pQmfReal[pReadIdx[ 3]]), ci[ 3], pQmfImag[pReadIdx[ 3]]))) +
                           fMult(p[ 5], ( fMultSub(fMultDiv2(cr[ 7], pQmfReal[pReadIdx[ 7]]), ci[ 7], pQmfImag[pReadIdx[ 7]]))) +
                           fMult(p[ 1], ( fMultSub(fMultDiv2(cr[11], pQmfReal[pReadIdx[11]]), ci[11], pQmfImag[pReadIdx[11]]))) );
    fft[FFT_IDX_I(1)] =  ( fMult(p[ 9], ( fMultAdd(fMultDiv2(ci[ 3], pQmfReal[pReadIdx[ 3]]), cr[ 3], pQmfImag[pReadIdx[ 3]]))) +
                           fMult(p[ 5], ( fMultAdd(fMultDiv2(ci[ 7], pQmfReal[pReadIdx[ 7]]), cr[ 7], pQmfImag[pReadIdx[ 7]]))) +
                           fMult(p[ 1], ( fMultAdd(fMultDiv2(ci[11], pQmfReal[pReadIdx[11]]), cr[11], pQmfImag[pReadIdx[11]]))) );

    /* twiddle dee dee */
    fft[FFT_IDX_R(2)] =  ( fMult(p[12], ( fMultSub(fMultDiv2(cr[ 0], pQmfReal[pReadIdx[ 0]]), ci[ 0], pQmfImag[pReadIdx[ 0]]))) +
                           fMult(p[ 8], ( fMultSub(fMultDiv2(cr[ 4], pQmfReal[pReadIdx[ 4]]), ci[ 4], pQmfImag[pReadIdx[ 4]]))) +
                           fMult(p[ 4], ( fMultSub(fMultDiv2(cr[ 8], pQmfReal[pReadIdx[ 8]]), ci[ 8], pQmfImag[pReadIdx[ 8]]))) +
                           fMult(p[ 0], ( fMultSub(fMultDiv2(cr[12], pQmfReal[pReadIdx[12]]), ci[12], pQmfImag[pReadIdx[12]]))) );
    fft[FFT_IDX_I(2)] =  ( fMult(p[12], ( fMultAdd(fMultDiv2(ci[ 0], pQmfReal[pReadIdx[ 0]]), cr[ 0], pQmfImag[pReadIdx[ 0]]))) +
                           fMult(p[ 8], ( fMultAdd(fMultDiv2(ci[ 4], pQmfReal[pReadIdx[ 4]]), cr[ 4], pQmfImag[pReadIdx[ 4]]))) +
                           fMult(p[ 4], ( fMultAdd(fMultDiv2(ci[ 8], pQmfReal[pReadIdx[ 8]]), cr[ 8], pQmfImag[pReadIdx[ 8]]))) +
                           fMult(p[ 0], ( fMultAdd(fMultDiv2(ci[12], pQmfReal[pReadIdx[12]]), cr[12], pQmfImag[pReadIdx[12]]))) );

    fft[FFT_IDX_R(3)] =  ( fMult(p[11], ( fMultSub(fMultDiv2(cr[ 1], pQmfReal[pReadIdx[ 1]]), ci[ 1], pQmfImag[pReadIdx[ 1]]))) +
                           fMult(p[ 7], ( fMultSub(fMultDiv2(cr[ 5], pQmfReal[pReadIdx[ 5]]), ci[ 5], pQmfImag[pReadIdx[ 5]]))) +
                           fMult(p[ 3], ( fMultSub(fMultDiv2(cr[ 9], pQmfReal[pReadIdx[ 9]]), ci[ 9], pQmfImag[pReadIdx[ 9]]))) );
    fft[FFT_IDX_I(3)] =  ( fMult(p[11], ( fMultAdd(fMultDiv2(ci[ 1], pQmfReal[pReadIdx[ 1]]), cr[ 1], pQmfImag[pReadIdx[ 1]]))) +
                           fMult(p[ 7], ( fMultAdd(fMultDiv2(ci[ 5], pQmfReal[pReadIdx[ 5]]), cr[ 5], pQmfImag[pReadIdx[ 5]]))) +
                           fMult(p[ 3], ( fMultAdd(fMultDiv2(ci[ 9], pQmfReal[pReadIdx[ 9]]), cr[ 9], pQmfImag[pReadIdx[ 9]]))) );

    /* fft modulation                                                    */
    /* here: fast manual fft modulation for a fft of length M=4          */
    /* fft_4{x[n]} = x[0]*exp(-i*2*pi/4*m*0) + x[1]*exp(-i*2*pi/4*m*1) +
    x[2]*exp(-i*2*pi/4*m*2) + x[3]*exp(-i*2*pi/4*m*3)   */

    /*
    fft bin m=0:
    X[0, n] = x[0] +   x[1] + x[2] +   x[3]
    */
    mHybridReal[0] = fft[FFT_IDX_R(0)] + fft[FFT_IDX_R(1)] + fft[FFT_IDX_R(2)] + fft[FFT_IDX_R(3)];
    mHybridImag[0] = fft[FFT_IDX_I(0)] + fft[FFT_IDX_I(1)] + fft[FFT_IDX_I(2)] + fft[FFT_IDX_I(3)];

    /*
    fft bin m=1:
    X[1, n] = x[0] - i*x[1] - x[2] + i*x[3]
    */
    mHybridReal[1] = fft[FFT_IDX_R(0)] + fft[FFT_IDX_I(1)] - fft[FFT_IDX_R(2)] - fft[FFT_IDX_I(3)];
    mHybridImag[1] = fft[FFT_IDX_I(0)] - fft[FFT_IDX_R(1)] - fft[FFT_IDX_I(2)] + fft[FFT_IDX_R(3)];

    /*
    fft bin m=2:
    X[2, n] = x[0] -   x[1] + x[2] -   x[3]
    */
    mHybridReal[2] = fft[FFT_IDX_R(0)] - fft[FFT_IDX_R(1)] + fft[FFT_IDX_R(2)] - fft[FFT_IDX_R(3)];
    mHybridImag[2] = fft[FFT_IDX_I(0)] - fft[FFT_IDX_I(1)] + fft[FFT_IDX_I(2)] - fft[FFT_IDX_I(3)];

    /*
    fft bin m=3:
    X[3, n] = x[0] + j*x[1] - x[2] - j*x[3]
    */
    mHybridReal[3] = fft[FFT_IDX_R(0)] - fft[FFT_IDX_I(1)] - fft[FFT_IDX_R(2)] + fft[FFT_IDX_I(3)];
    mHybridImag[3] = fft[FFT_IDX_I(0)] + fft[FFT_IDX_R(1)] - fft[FFT_IDX_I(2)] - fft[FFT_IDX_R(3)];
}


static void eightChannelFiltering(
        const FIXP_DBL *const      pQmfReal,
        const FIXP_DBL *const      pQmfImag,
        const INT *const           pReadIdx,
        FIXP_DBL *const            mHybridReal,
        FIXP_DBL *const            mHybridImag,
        const INT                  invert
        )
{
    const FIXP_HTP *p = HybFilterCoef8;
    INT k, sc;

    FIXP_DBL mfft[16+ALIGNMENT_DEFAULT];
    FIXP_DBL *pfft = (FIXP_DBL*)ALIGN_PTR(mfft);

    FIXP_DBL accu1, accu2, accu3, accu4;

    /* pre twiddeling */
    pfft[FFT_IDX_R(0)] = fMultDiv2(p[0].v.re, pQmfReal[pReadIdx[6]]);
    pfft[FFT_IDX_I(0)] = fMultDiv2(p[0].v.re, pQmfImag[pReadIdx[6]]);

    cplxMultDiv2(&accu1, &accu2, pQmfReal[pReadIdx[7]], pQmfImag[pReadIdx[7]], p[1]);
    pfft[FFT_IDX_R(1)] = accu1;
    pfft[FFT_IDX_I(1)] = accu2;

    cplxMultDiv2(&accu1, &accu2, pQmfReal[pReadIdx[0]], pQmfImag[pReadIdx[0]], p[2]);
    cplxMultDiv2(&accu3, &accu4, pQmfReal[pReadIdx[8]], pQmfImag[pReadIdx[8]], p[3]);
    pfft[FFT_IDX_R(2)] = accu1 + accu3;
    pfft[FFT_IDX_I(2)] = accu2 + accu4;

    cplxMultDiv2(&accu1, &accu2, pQmfReal[pReadIdx[1]], pQmfImag[pReadIdx[1]], p[4]);
    cplxMultDiv2(&accu3, &accu4, pQmfReal[pReadIdx[9]], pQmfImag[pReadIdx[9]], p[5]);
    pfft[FFT_IDX_R(3)] = accu1 + accu3;
    pfft[FFT_IDX_I(3)] = accu2 + accu4;

    pfft[FFT_IDX_R(4)] = fMultDiv2(pQmfImag[pReadIdx[10]], p[7].v.im) - fMultDiv2(pQmfImag[pReadIdx[ 2]], p[6].v.im);
    pfft[FFT_IDX_I(4)] = fMultDiv2(pQmfReal[pReadIdx[ 2]], p[6].v.im) - fMultDiv2(pQmfReal[pReadIdx[10]], p[7].v.im);

    cplxMultDiv2(&accu1, &accu2, pQmfReal[pReadIdx[ 3]], pQmfImag[pReadIdx[ 3]], p[8]);
    cplxMultDiv2(&accu3, &accu4, pQmfReal[pReadIdx[11]], pQmfImag[pReadIdx[11]], p[9]);
    pfft[FFT_IDX_R(5)] = accu1 + accu3;
    pfft[FFT_IDX_I(5)] = accu2 + accu4;

    cplxMultDiv2(&accu1, &accu2, pQmfReal[pReadIdx[ 4]], pQmfImag[pReadIdx[ 4]], p[10]);
    cplxMultDiv2(&accu3, &accu4, pQmfReal[pReadIdx[12]], pQmfImag[pReadIdx[12]], p[11]);
    pfft[FFT_IDX_R(6)] = accu1 + accu3;
    pfft[FFT_IDX_I(6)] = accu2 + accu4;

    cplxMultDiv2(&accu1, &accu2, pQmfReal[pReadIdx[ 5]], pQmfImag[pReadIdx[ 5]], p[12]);
    pfft[FFT_IDX_R(7)] = accu1;
    pfft[FFT_IDX_I(7)] = accu2;

    /* fft modulation */
    fft_8 (pfft);
    sc = 1 + 2;

    if (invert) {
      mHybridReal[0]  = pfft[FFT_IDX_R(7)] << sc;
      mHybridImag[0]  = pfft[FFT_IDX_I(7)] << sc;
      mHybridReal[1]  = pfft[FFT_IDX_R(0)] << sc;
      mHybridImag[1]  = pfft[FFT_IDX_I(0)] << sc;

      mHybridReal[2]  = pfft[FFT_IDX_R(6)] << sc;
      mHybridImag[2]  = pfft[FFT_IDX_I(6)] << sc;
      mHybridReal[3]  = pfft[FFT_IDX_R(1)] << sc;
      mHybridImag[3]  = pfft[FFT_IDX_I(1)] << sc;

      mHybridReal[4]  = pfft[FFT_IDX_R(2)] << sc;
      mHybridReal[4] += pfft[FFT_IDX_R(5)] << sc;
      mHybridImag[4]  = pfft[FFT_IDX_I(2)] << sc;
      mHybridImag[4] += pfft[FFT_IDX_I(5)] << sc;

      mHybridReal[5]  = pfft[FFT_IDX_R(3)] << sc;
      mHybridReal[5] += pfft[FFT_IDX_R(4)] << sc;
      mHybridImag[5]  = pfft[FFT_IDX_I(3)] << sc;
      mHybridImag[5] += pfft[FFT_IDX_I(4)] << sc;
    }
    else {
      for(k=0; k<8;k++ ) {
        mHybridReal[k] = pfft[FFT_IDX_R(k)] << sc;
        mHybridImag[k] = pfft[FFT_IDX_I(k)] << sc;
      }
    }
}

static INT kChannelFiltering(
        const FIXP_DBL *const      pQmfReal,
        const FIXP_DBL *const      pQmfImag,
        const INT *const           pReadIdx,
        FIXP_DBL *const            mHybridReal,
        FIXP_DBL *const            mHybridImag,
        const SCHAR                hybridConfig
        )
{
    INT err = 0;

    switch (hybridConfig) {
      case  2:
      case -2:
        dualChannelFiltering(pQmfReal, pQmfImag, pReadIdx, mHybridReal, mHybridImag, (hybridConfig<0) ? 1 : 0 );
        break;
      case  4:
      case -4:
        fourChannelFiltering(pQmfReal, pQmfImag, pReadIdx, mHybridReal, mHybridImag, (hybridConfig<0) ? 1 : 0 );
        break;
      case  8:
      case -8:
        eightChannelFiltering(pQmfReal, pQmfImag, pReadIdx, mHybridReal, mHybridImag, (hybridConfig<0) ? 1 : 0 );
        break;
      default:
        err = -1;
    }

    return err;
}