path: root/libSBRenc/src/resampler.cpp

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

© Copyright  1995 - 2012 Fraunhofer-Gesellschaft zur Förderung 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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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
by appropriate patent licenses.

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

/*!
  \file
  \brief  FDK resampler tool box: 
  \author M. Werner
*/

#include "resampler.h"

#include "genericStds.h"


/**************************************************************************/
/*                   BIQUAD Filter Specifications                         */
/**************************************************************************/

#define B1 0
#define B2 1
#define A1 2
#define A2 3

#define BQC(x) FL2FXCONST_SGL(x/2)


struct FILTER_PARAM {
  const FIXP_SGL *coeffa;    /*! SOS matrix One row/section. Scaled using BQC(). Order of coefficients: B1,B2,A1,A2. B0=A0=1.0 */
  FIXP_DBL g;                /*! overall gain */
  int Wc;                    /*! normalized passband bandwidth at input samplerate * 1000 */
  int noCoeffs;              /*! number of filter coeffs */
  int delay;                 /*! delay in samples at input samplerate */
};

#define BIQUAD_COEFSTEP 4

/**
 *\brief Low Pass
 Wc = 0,5, order 30, Stop Band -96dB. Wc criteria is "almost 0dB passband", not the usual -3db gain point.
 [b,a]=cheby2(30,96,0.505)
 [sos,g]=tf2sos(b,a)
 bandwidth 0.48
 */
static const FIXP_SGL sos48[] = {
 BQC(1.98941075681938),   BQC(0.999999996890811), BQC(0.863264527201963),     BQC( 0.189553799960663),
 BQC(1.90733804822445),   BQC(1.00000001736189),  BQC(0.836321575841691),     BQC( 0.203505809266564),
 BQC(1.75616665495325),   BQC(0.999999946079721), BQC(0.784699225121588),     BQC( 0.230471265506986),
 BQC(1.55727745512726),   BQC(1.00000011737815),  BQC(0.712515423588351),     BQC( 0.268752723900498),
 BQC(1.33407591943643),   BQC(0.999999795953228), BQC(0.625059117330989),     BQC( 0.316194685288965),
 BQC(1.10689898412458),   BQC(1.00000035057114),  BQC(0.52803514366398),      BQC( 0.370517843224669),
 BQC(0.89060371078454),   BQC(0.999999343962822), BQC(0.426920462165257),     BQC( 0.429608200207746),
 BQC(0.694438261209433),  BQC( 1.0000008629792),  BQC(0.326530699561716),     BQC( 0.491714450654174),
 BQC(0.523237800935322),  BQC(1.00000101349782),  BQC(0.230829556274851),     BQC( 0.555559034843281),
 BQC(0.378631165929563),  BQC(0.99998986482665),  BQC(0.142906422036095),     BQC( 0.620338874442411),
 BQC(0.260786911308437),  BQC(1.00003261460178),  BQC(0.0651008576256505),    BQC( 0.685759923926262),
 BQC(0.168409429188098),  BQC(0.999933049695828), BQC(-0.000790067789975562), BQC( 0.751905896602325),
 BQC(0.100724533818628),  BQC(1.00009472669872),  BQC(-0.0533772830257041),   BQC( 0.81930744384525),
 BQC(0.0561434357867363), BQC(0.999911636304276), BQC(-0.0913550299236405),   BQC( 0.88883625875915),
 BQC(0.0341680678662057), BQC(1.00003667508676),  BQC(-0.113405185536697),    BQC( 0.961756638268446)
};

#ifdef RS_BIQUAD_SCATTERGAIN
static const FIXP_DBL g48 = FL2FXCONST_DBL(0.67436532061161992682404480717671 - 0.001);
#else
static const FIXP_DBL g48 = FL2FXCONST_DBL(0.002712866530047) - (FIXP_DBL)0x8000;
#endif

static const struct FILTER_PARAM param_set48 = {
  sos48,
  g48,
  480,
  15,
  4 /* LF 2 */
};

/**
 *\brief Low Pass
 Wc = 0,5, order 24, Stop Band -96dB. Wc criteria is "almost 0dB passband", not the usual -3db gain point.
 [b,a]=cheby2(24,96,0.5)
 [sos,g]=tf2sos(b,a)
 bandwidth 0.45
 */
static const FIXP_SGL sos45[] = {
  BQC(1.982962601444),     BQC(1.00000000007504),  BQC(0.646113303737836),   BQC( 0.10851149979981),
  BQC(1.85334094281111),   BQC(0.999999999677192), BQC(0.612073220102006),   BQC( 0.130022141698044),
  BQC(1.62541051415425),   BQC(1.00000000080398),  BQC(0.547879702855959),   BQC( 0.171165825133192),
  BQC(1.34554656923247),   BQC(0.9999999980169),   BQC(0.460373914508491),   BQC( 0.228677463376354),
  BQC(1.05656568503116),   BQC(1.00000000569363),  BQC(0.357891894038287),   BQC( 0.298676843912185),
  BQC(0.787967587877312),  BQC(0.999999984415017), BQC(0.248826893211877),   BQC( 0.377441803512978),
  BQC(0.555480971120497),  BQC(1.00000003583307),  BQC(0.140614263345315),   BQC( 0.461979302213679),
  BQC(0.364986207070964),  BQC(0.999999932084303), BQC(0.0392669446074516),  BQC( 0.55033451180825),
  BQC(0.216827267631558),  BQC(1.00000010534682),  BQC(-0.0506232228865103), BQC( 0.641691581560946),
  BQC(0.108951672277119),  BQC(0.999999871167516), BQC(-0.125584840183225),  BQC( 0.736367748771803),
  BQC(0.0387988607229035), BQC(1.00000011205574),  BQC(-0.182814849097974),  BQC( 0.835802108714964),
  BQC(0.0042866175809225), BQC(0.999999954830813), BQC(-0.21965740617151),   BQC( 0.942623047782363)
};

#ifdef RS_BIQUAD_SCATTERGAIN
static const FIXP_DBL g45 = FL2FXCONST_DBL(0.60547428891341319051142629706723 - 0.001);
#else
static const FIXP_DBL g45 = FL2FXCONST_DBL(0.00242743980909524) - (FIXP_DBL)0x8000;
#endif

static const struct FILTER_PARAM param_set45 = {
  sos45,
  g45,
  450,
  12,
  4 /* LF 2 */
};

/*
 Created by Octave 2.1.73, Mon Oct 13 17:31:32 2008 CEST
 Wc = 0,5, order 16, Stop Band -96dB damping.
 [b,a]=cheby2(16,96,0.5)
 [sos,g]=tf2sos(b,a)
 bandwidth = 0.41
 */

static const FIXP_SGL sos41[] =
{
  BQC(1.96193625292),       BQC(0.999999999999964), BQC(0.169266178786789),   BQC(0.0128823300475907),
  BQC(1.68913437662092),    BQC(1.00000000000053),  BQC(0.124751503206552),   BQC(0.0537472273950989),
  BQC(1.27274692366017),    BQC(0.999999999995674), BQC(0.0433108625178357),  BQC(0.131015753236317),
  BQC(0.85214175088395),    BQC(1.00000000001813),  BQC(-0.0625658152550408), BQC(0.237763778993806),
  BQC(0.503841579939009),   BQC(0.999999999953223), BQC(-0.179176128722865),  BQC(0.367475236424474),
  BQC(0.249990711986162),   BQC(1.00000000007952),  BQC(-0.294425165824676),  BQC(0.516594857170212),
  BQC(0.087971668680286),   BQC(0.999999999915528), BQC(-0.398956566777928),  BQC(0.686417767801123),
  BQC(0.00965373325350294), BQC(1.00000000003744),  BQC(-0.48579173764817),   BQC(0.884931534239068)
};

#ifdef RS_BIQUAD_SCATTERGAIN
static const FIXP_DBL g41 = FL2FXCONST_DBL(0.44578514476476679750811222123569);
#else
static const FIXP_DBL g41 = FL2FXCONST_DBL(0.00155956951169248);
#endif

static const struct FILTER_PARAM param_set41 = {
  sos41,
  g41,
  410,
  8,
  5 /* LF 3 */
};

/*
 # Created by Octave 2.1.73, Mon Oct 13 17:55:33 2008 CEST
 Wc = 0,5, order 12, Stop Band -96dB damping.
 [b,a]=cheby2(12,96,0.5);
 [sos,g]=tf2sos(b,a)
*/
static const FIXP_SGL sos35[] =
{
  BQC(1.93299325235762),   BQC(0.999999999999985), BQC(-0.140733187246596), BQC(0.0124139497836062),
  BQC(1.4890416764109),    BQC(1.00000000000011),  BQC(-0.198215402588504), BQC(0.0746730616584138),
  BQC(0.918450161309795),  BQC(0.999999999999619), BQC(-0.30133912791941),  BQC(0.192276468839529),
  BQC(0.454877024246818),  BQC(1.00000000000086),  BQC(-0.432337328809815), BQC(0.356852933642815),
  BQC(0.158017147118507),  BQC(0.999999999998876), BQC(-0.574817494249777), BQC(0.566380436970833),
  BQC(0.0171834649478749), BQC(1.00000000000055),  BQC(-0.718581178041165), BQC(0.83367484487889)
};

#ifdef RS_BIQUAD_SCATTERGAIN
static const FIXP_DBL g35 = FL2FXCONST_DBL(0.34290853574973898694521267606792);
#else
static const FIXP_DBL g35 = FL2FXCONST_DBL(0.00162580994125131);
#endif

static const struct FILTER_PARAM param_set35 = {
  sos35,
  g35,
  350,
  6,
  4
};

/*
 # Created by Octave 2.1.73, Mon Oct 13 18:15:38 2008 CEST
 Wc = 0,5, order 8, Stop Band -96dB damping.
 [b,a]=cheby2(8,96,0.5);
 [sos,g]=tf2sos(b,a)
*/
static const FIXP_SGL sos25[] =
{
  BQC(1.85334094301225),   BQC(1.0),               BQC(-0.702127214212663), BQC(0.132452403998767),
  BQC(1.056565682167),     BQC(0.999999999999997), BQC(-0.789503667880785), BQC(0.236328693569128),
  BQC(0.364986307455489),  BQC(0.999999999999996), BQC(-0.955191189843375), BQC(0.442966457936379),
  BQC(0.0387985751642125), BQC(1.0),               BQC(-1.19817786088084),  BQC(0.770493895456328)
};

#ifdef RS_BIQUAD_SCATTERGAIN
static const FIXP_DBL g25 = FL2FXCONST_DBL(0.17533917408936346960080259950471);
#else
static const FIXP_DBL g25 = FL2FXCONST_DBL(0.000945182835294559);
#endif

static const struct FILTER_PARAM param_set25 = {
  sos25,
  g25,
  250,
  4,
  5
};

/* Must be sorted in descending order */
static const struct FILTER_PARAM *const filter_paramSet[] = {
  &param_set48,
  &param_set45,
  &param_set41,
  &param_set35,
  &param_set25
};


/**************************************************************************/
/*                         Resampler Functions                            */
/**************************************************************************/


/*!
  \brief   Reset downsampler instance and clear delay lines

  \return  success of operation
*/

INT FDKaacEnc_InitDownsampler(DOWNSAMPLER *DownSampler, /*!< pointer to downsampler instance */
                              int Wc,                   /*!< normalized cutoff freq * 1000*  */
                              int ratio)                /*!< downsampler ratio (only 2 supported at the momment) */

{
  UINT i;
  const struct FILTER_PARAM *currentSet=NULL;

  FDK_ASSERT(ratio == 2);
  FDKmemclear(DownSampler->downFilter.states, sizeof(DownSampler->downFilter.states));
  DownSampler->downFilter.ptr   =   0;

  /*
    find applicable parameter set
  */
  currentSet = filter_paramSet[0];
  for(i=1;i<sizeof(filter_paramSet)/sizeof(struct FILTER_PARAM *);i++){
    if (filter_paramSet[i]->Wc <= Wc) {
      break;
    }
    currentSet = filter_paramSet[i];
  }

  DownSampler->downFilter.coeffa = currentSet->coeffa;


  DownSampler->downFilter.gain = currentSet->g;
  FDK_ASSERT(currentSet->noCoeffs <= MAXNR_SECTIONS*2);

  DownSampler->downFilter.noCoeffs = currentSet->noCoeffs;
  DownSampler->delay = currentSet->delay;
  DownSampler->downFilter.Wc = currentSet->Wc;

  DownSampler->ratio =   ratio;
  DownSampler->pending = ratio-1;
  return(1);
}


/*!
  \brief   faster simple folding operation
           Filter:
           H(z) = A(z)/B(z)
           with
           A(z) = a[0]*z^0 + a[1]*z^1 + a[2]*z^2 ... a[n]*z^n

  \return  filtered value
*/

static inline INT_PCM AdvanceFilter(LP_FILTER *downFilter,  /*!< pointer to iir filter instance */
                                     INT_PCM  *pInput,          /*!< input of filter                */
                                     int downRatio,
                                     int inStride)
{
  INT_PCM output;
  int i, n;


#ifdef RS_BIQUAD_SCATTERGAIN
#define BIQUAD_SCALE 3
#else
#define BIQUAD_SCALE 12
#endif

  FIXP_DBL y = FL2FXCONST_DBL(0.0f);
  FIXP_DBL input;

  for (n=0; n<downRatio; n++)
  {
    FIXP_BQS (*states)[2] = downFilter->states;
    const FIXP_SGL *coeff = downFilter->coeffa;
    int s1,s2;

    s1 = downFilter->ptr;
    s2 = s1 ^ 1;

#if (SAMPLE_BITS == 16)
    input =  ((FIXP_DBL)pInput[n*inStride]) << (DFRACT_BITS-SAMPLE_BITS-BIQUAD_SCALE);
#elif (SAMPLE_BITS == 32)
    input =  pInput[n*inStride] >> BIQUAD_SCALE;
#else
#error NOT IMPLEMENTED
#endif

#ifndef RS_BIQUAD_SCATTERGAIN /* Merged Direct form I */

    FIXP_BQS state1, state2, state1b, state2b;

    state1 = states[0][s1];
    state2 = states[0][s2];

    /* Loop over sections */
    for (i=0; i<downFilter->noCoeffs; i++)
    {
      FIXP_DBL state0;

      /* Load merged states (from next section) */
      state1b = states[i+1][s1];
      state2b = states[i+1][s2];

      state0 = input  + fMult(state1, coeff[B1]) + fMult(state2, coeff[B2]);
      y      = state0 - fMult(state1b, coeff[A1]) - fMult(state2b, coeff[A2]);

      /* Store new feed forward merge state */
      states[i+1][s2] = y<<1;
      /* Store new feed backward state */
      states[i][s2] = input<<1;

      /* Feedback output to next section. */
      input = y;

      /* Transfer merged states */
      state1 = state1b;
      state2 = state2b;

      /* Step to next coef set */
      coeff += BIQUAD_COEFSTEP;
    }
    downFilter->ptr ^= 1;
  }
  /* Apply global gain */
  y = fMult(y, downFilter->gain);

#else /* Direct form II */

    /* Loop over sections */
    for (i=0; i<downFilter->noCoeffs; i++)
    {
      FIXP_BQS state1, state2;
      FIXP_DBL state0;

      /* Load states */
      state1 = states[i][s1];
      state2 = states[i][s2];

      state0 = input  - fMult(state1, coeff[A1]) - fMult(state2, coeff[A2]);
      y = state0      + fMult(state1, coeff[B1]) + fMult(state2, coeff[B2]);
      /* Apply scattered gain */
      y = fMult(y, downFilter->gain);

      /* Store new state in normalized form */
#ifdef RS_BIQUAD_STATES16
      /* Do not saturate any state value ! The result would be unacceptable. Rounding makes SNR around 10dB better. */
      states[i][s2] = (FIXP_BQS)(LONG)((state0 + (FIXP_DBL)(1<<(DFRACT_BITS-FRACT_BITS-2))) >> (DFRACT_BITS-FRACT_BITS-1));
#else
      states[i][s2] = state0<<1;
#endif

      /* Feedback output to next section. */
      input=y;

      /* Step to next coef set */
      coeff += BIQUAD_COEFSTEP;
    }
    downFilter->ptr ^= 1;
  }

#endif

  /* Apply final gain/scaling to output */
#if (SAMPLE_BITS == 16)
  output = (INT_PCM) SATURATE_RIGHT_SHIFT(y+(FIXP_DBL)(1<<(DFRACT_BITS-SAMPLE_BITS-BIQUAD_SCALE-1)), DFRACT_BITS-SAMPLE_BITS-BIQUAD_SCALE, SAMPLE_BITS);
  //output = (INT_PCM) SATURATE_RIGHT_SHIFT(y, DFRACT_BITS-SAMPLE_BITS-BIQUAD_SCALE, SAMPLE_BITS);
#else
  output = SATURATE_LEFT_SHIFT(y, BIQUAD_SCALE, SAMPLE_BITS);
#endif


  return output;
}




/*!
  \brief   FDKaacEnc_Downsample numInSamples of type INT_PCM
           Returns number of output samples in numOutSamples

  \return  success of operation
*/

INT FDKaacEnc_Downsample(DOWNSAMPLER *DownSampler,  /*!< pointer to downsampler instance */
                         INT_PCM *inSamples,        /*!< pointer to input samples */
                         INT numInSamples,          /*!< number  of input samples  */
                         INT inStride,              /*!< increment of input samples */
                         INT_PCM *outSamples,       /*!< pointer to output samples */
                         INT *numOutSamples,        /*!< pointer tp number of output samples */
                         INT outStride              /*!< increment of output samples */
                         )
{
    INT i;
    *numOutSamples=0;

    for(i=0; i<numInSamples; i+=DownSampler->ratio)
    {
      *outSamples = AdvanceFilter(&(DownSampler->downFilter), &inSamples[i*inStride], DownSampler->ratio, inStride);
      outSamples += outStride;
    }
    *numOutSamples = numInSamples/DownSampler->ratio;

    return 0;
}