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

    This project implements a complete(!) JPEG (Recommendation ITU-T
    T.81 | ISO/IEC 10918-1) codec, plus a library that can be used to
    encode and decode JPEG streams. 
    It also implements ISO/IEC 18477 aka JPEG XT which is an extension
    towards intermediate, high-dynamic-range lossy and lossless coding
    of JPEG. In specific, it supports ISO/IEC 18477-3/-6/-7/-8 encoding.

    Note that only Profiles C and D of ISO/IEC 18477-7 are supported
    here. Check the JPEG XT reference software for a full implementation
    of ISO/IEC 18477-7.

    Copyright (C) 2012-2018 Thomas Richter, University of Stuttgart and
    Accusoft. (C) 2019-2020 Thomas Richter, Fraunhofer IIS.

    This program is available under two licenses, GPLv3 and the ITU
    Software licence Annex A Option 2, RAND conditions.

    For the full text of the GPU license option, see README.license.gpl.
    For the full text of the ITU license option, see README.license.itu.
    
    You may freely select between these two options.

    For the GPL option, please note the following:

    This program is free software: you can redistribute it and/or modify
    it under the terms of the GNU General Public License as published by
    the Free Software Foundation, either version 3 of the License, or
    (at your option) any later version.

    This program is distributed in the hope that it will be useful,
    but WITHOUT ANY WARRANTY; without even the implied warranty of
    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
    GNU General Public License for more details.

    You should have received a copy of the GNU General Public License
    along with this program.  If not, see <http://www.gnu.org/licenses/>.

*************************************************************************/
/*
**
** Inverse DCT operation plus scaled quantization.
** This is an unscaled fix-point DCT. It requires approximately 45 shifts
** per row and column.
**
** $Id: idct.cpp,v 1.24 2016/10/28 13:58:54 thor Exp $
**
*/

/// Includes
#include "interface/types.hpp"
#include "std/string.hpp"
#include "dct/idct.hpp"
#include "tools/environment.hpp"
#include "tools/traits.hpp"
#include "interface/imagebitmap.hpp"
#include "colortrafo/colortrafo.hpp"
#include "marker/quantizationtable.hpp"
#include "coding/huffmancoder.hpp"
///

/// Defines
// Number of fractional bits.
#define TO_FIX(x) WORD((x * (1UL << FIX_BITS)) + 0.5)
// Actually, this is also simply a long, but prescaled by FIX_BITS
#define FIXED T
// This is also simply LONG, but with two bits prescaled
#define INTER T

// Backshift from FIX_BITS to INTERMEDIATE_BITS
#define FIXED_TO_INTERMEDIATE(x) (((x) + (1L << (FIX_BITS - INTERMEDIATE_BITS - 1))) >> (FIX_BITS - INTERMEDIATE_BITS))

// Preshifted by FIX_BITS + INTER_BITS
#define INTER_FIXED T

// Backshift from INTERMEDIATE+FIX bits to integer, plus 3 bits for the DCT scaling
#define INTER_FIXED_TO_INT(x) (((x) + (1L << (FIX_BITS + INTERMEDIATE_BITS + 3 - 1))) >> (FIX_BITS + INTERMEDIATE_BITS + 3))
///

/// IDCT::IDCT
template<int preshift,typename T,bool deadzone,bool optimize>
IDCT<preshift,T,deadzone,optimize>::IDCT(class Environ *env)
  : DCT(env)
{
}
///

/// IDCT::~IDCT
template<int preshift,typename T,bool deadzone,bool optimize>
IDCT<preshift,T,deadzone,optimize>::~IDCT(void)
{
}
///

/// IDCT::DefineQuant
template<int preshift,typename T,bool deadzone,bool optimize>
void IDCT<preshift,T,deadzone,optimize>::DefineQuant(class QuantizationTable *table)
{
  const UWORD *delta      = table->DeltasOf();
  int i;

  // No scaling required here.
  for(i = 0;i < 64;i++) {
    m_plQuant[i]    = LONG(delta[i]) << preshift;
    m_plInvQuant[i] = LONG(FLOAT(1L << QUANTIZER_BITS) / delta[i] + 0.5);
  }
}
///

/// IDCT::TransformBlock
// Run the DCT on a 8x8 block on the input data, giving the output table.
template<int preshift,typename T,bool deadzone,bool optimize>
void IDCT<preshift,T,deadzone,optimize>::TransformBlock(const LONG *source,LONG *target,LONG dcoffset)
{ 
  LONG *dpend,*dp;
  const LONG *qp = m_plInvQuant; 
  int band = 0;
  //
  // Adjust the DC offset to the number of fractional bits.
  dcoffset <<= preshift + 3 + 3 + INTERMEDIATE_BITS; 
  // three additional bits because we still need to divide by 8.
  //
  // Pass over columns.
  for(dp = target,dpend = target + 8;dp < dpend;dp++,source++) {
    T tmp0    = source[0 << 3] + source[7 << 3];
    T tmp1    = source[1 << 3] + source[6 << 3];
    T tmp2    = source[2 << 3] + source[5 << 3];
    T tmp3    = source[3 << 3] + source[4 << 3];
    T tmp10   = tmp0      + tmp3;
    T tmp12   = tmp0      - tmp3;
    T tmp11   = tmp1      + tmp2;
    T tmp13   = tmp1      - tmp2;
    
    tmp0      = source[0 << 3] - source[7 << 3];
    tmp1      = source[1 << 3] - source[6 << 3];
    tmp2      = source[2 << 3] - source[5 << 3];
    tmp3      = source[3 << 3] - source[4 << 3];

    // complete DC and middle band.
    dp[0 << 3] = (tmp10 + tmp11) << INTERMEDIATE_BITS;
    dp[4 << 3] = (tmp10 - tmp11) << INTERMEDIATE_BITS;

    FIXED   z1 = (tmp12 + tmp13) * TO_FIX(0.541196100);

    // complete bands 2 and 6
    dp[2 << 3] = FIXED_TO_INTERMEDIATE(z1 + tmp12 * TO_FIX(0.765366865));
    dp[6 << 3] = FIXED_TO_INTERMEDIATE(z1 + tmp13 *-TO_FIX(1.847759065));

    
    tmp10      = tmp0 + tmp3;
    tmp11      = tmp1 + tmp2;
    tmp12      = tmp0 + tmp2;
    tmp13      = tmp1 + tmp3;
    z1         = (tmp12 + tmp13) * TO_FIX(1.175875602);

    FIXED ttmp0  = tmp0  * TO_FIX(1.501321110);
    FIXED ttmp1  = tmp1  * TO_FIX(3.072711026);
    FIXED ttmp2  = tmp2  * TO_FIX(2.053119869);
    FIXED ttmp3  = tmp3  * TO_FIX(0.298631336);
    FIXED ttmp10 = tmp10 *-TO_FIX(0.899976223);
    FIXED ttmp11 = tmp11 *-TO_FIX(2.562915447);
    FIXED ttmp12 = tmp12 *-TO_FIX(0.390180644) + z1;
    FIXED ttmp13 = tmp13 *-TO_FIX(1.961570560) + z1;

    dp[1 << 3]   = FIXED_TO_INTERMEDIATE(ttmp0 + ttmp10 + ttmp12);
    dp[3 << 3]   = FIXED_TO_INTERMEDIATE(ttmp1 + ttmp11 + ttmp13);
    dp[5 << 3]   = FIXED_TO_INTERMEDIATE(ttmp2 + ttmp11 + ttmp12);
    dp[7 << 3]   = FIXED_TO_INTERMEDIATE(ttmp3 + ttmp10 + ttmp13);
  }
  //
  // Pass over rows and quantize.
  for(dp = target,dpend = target + (8 << 3);dp < dpend;dp += 8,qp += 8) { 
    INTER tmp0         = dp[0] + dp[7];
    INTER tmp1         = dp[1] + dp[6];
    INTER tmp2         = dp[2] + dp[5];
    INTER tmp3         = dp[3] + dp[4];
    INTER tmp10        = tmp0  + tmp3;
    INTER tmp12        = tmp0  - tmp3;
    INTER tmp11        = tmp1  + tmp2;
    INTER tmp13        = tmp1  - tmp2;
    
    tmp0               = dp[0] - dp[7];
    tmp1               = dp[1] - dp[6];
    tmp2               = dp[2] - dp[5];
    tmp3               = dp[3] - dp[4];

    // complete DC and middle band.
    dp[0]              = Quantize((tmp10 + tmp11 - dcoffset) << FIX_BITS,qp[0],band);
    dp[4]              = Quantize((tmp10 - tmp11) << FIX_BITS           ,qp[4],band+4);
    
    INTER_FIXED z1     = (tmp12 + tmp13) * TO_FIX(0.541196100);

    // complete bands 2 and 6
    dp[2]              = Quantize(z1 + tmp12 * TO_FIX(0.765366865),qp[2],band+2);
    dp[6]              = Quantize(z1 + tmp13 *-TO_FIX(1.847759065),qp[6],band+6);

    tmp10              = tmp0 + tmp3;
    tmp11              = tmp1 + tmp2;
    tmp12              = tmp0 + tmp2;
    tmp13              = tmp1 + tmp3;
    z1                 = (tmp12 + tmp13) * TO_FIX(1.175875602);

    INTER_FIXED ttmp0  = tmp0  * TO_FIX(1.501321110);
    INTER_FIXED ttmp1  = tmp1  * TO_FIX(3.072711026);
    INTER_FIXED ttmp2  = tmp2  * TO_FIX(2.053119869);
    INTER_FIXED ttmp3  = tmp3  * TO_FIX(0.298631336);
    INTER_FIXED ttmp10 = tmp10 *-TO_FIX(0.899976223);
    INTER_FIXED ttmp11 = tmp11 *-TO_FIX(2.562915447);
    INTER_FIXED ttmp12 = tmp12 *-TO_FIX(0.390180644) + z1;
    INTER_FIXED ttmp13 = tmp13 *-TO_FIX(1.961570560) + z1;

    dp[1]              = Quantize(ttmp0 + ttmp10 + ttmp12,qp[1],band+1);
    dp[3]              = Quantize(ttmp1 + ttmp11 + ttmp13,qp[3],band+3);
    dp[5]              = Quantize(ttmp2 + ttmp11 + ttmp12,qp[5],band+5);
    dp[7]              = Quantize(ttmp3 + ttmp10 + ttmp13,qp[7],band+7);
    dcoffset           = 0;
    band              += 8;
  }
}
///

/// IDCT::InverseTransformBlock
// Run the inverse DCT on an 8x8 block reconstructing the data.
template<int preshift,typename T,bool deadzone,bool optimize>
void IDCT<preshift,T,deadzone,optimize>::InverseTransformBlock(LONG *target,const LONG *source,
                                                               LONG dcoffset)
{
  LONG *dptr,*dend;
  
  const LONG *qnt = m_plQuant;

  dcoffset <<= preshift + 3;

  if (source) {
    for(dptr = target,dend = target + (8 << 3);dptr < dend;dptr +=8,source += 8,qnt += 8) {
      // Even part.
      T  tz2       = source[2] * qnt[2];
      T  tz3       = source[6] * qnt[6];
      FIXED z1     = (tz2 + tz3) *  TO_FIX(0.541196100);
      FIXED tmp2   = z1 + tz3    * -TO_FIX(1.847759065);
      FIXED tmp3   = z1 + tz2    *  TO_FIX(0.765366865);
      
      tz2          = source[0] * qnt[0] + dcoffset;
      tz3          = source[4] * qnt[4];
      
      FIXED tmp0   = (tz2 + tz3) << FIX_BITS;
      FIXED tmp1   = (tz2 - tz3) << FIX_BITS;
      FIXED tmp10  = tmp0 + tmp3;
      FIXED tmp13  = tmp0 - tmp3;
      FIXED tmp11  = tmp1 + tmp2;
      FIXED tmp12  = tmp1 - tmp2;
      
      // Odd part.
      T ttmp0      = source[7] * qnt[7];
      T ttmp1      = source[5] * qnt[5];
      T ttmp2      = source[3] * qnt[3];
      T ttmp3      = source[1] * qnt[1];
      
      T tz1        = ttmp0 + ttmp3;
      tz2          = ttmp1 + ttmp2;
      tz3          = ttmp0 + ttmp2;
      T tz4        = ttmp1 + ttmp3;
      FIXED z5     = (tz3 + tz4) * TO_FIX(1.175875602);
      
      tmp0         = ttmp0 * TO_FIX(0.298631336);
      tmp1         = ttmp1 * TO_FIX(2.053119869);
      tmp2         = ttmp2 * TO_FIX(3.072711026);
      tmp3         = ttmp3 * TO_FIX(1.501321110);
      z1           = tz1   *-TO_FIX(0.899976223);
      FIXED z2     = tz2   *-TO_FIX(2.562915447);
      FIXED z3     = tz3   *-TO_FIX(1.961570560) + z5;
      FIXED z4     = tz4   *-TO_FIX(0.390180644) + z5;
      
      tmp0        += z1 + z3;
      tmp1        += z2 + z4;
      tmp2        += z2 + z3;
      tmp3        += z1 + z4;
      
      dptr[0]      = FIXED_TO_INTERMEDIATE(tmp10 + tmp3);
      dptr[7]      = FIXED_TO_INTERMEDIATE(tmp10 - tmp3);
      dptr[1]      = FIXED_TO_INTERMEDIATE(tmp11 + tmp2);
      dptr[6]      = FIXED_TO_INTERMEDIATE(tmp11 - tmp2);
      dptr[2]      = FIXED_TO_INTERMEDIATE(tmp12 + tmp1);
      dptr[5]      = FIXED_TO_INTERMEDIATE(tmp12 - tmp1);
      dptr[3]      = FIXED_TO_INTERMEDIATE(tmp13 + tmp0);
      dptr[4]      = FIXED_TO_INTERMEDIATE(tmp13 - tmp0);
      dcoffset     = 0;
    }
    
    // After transforming over the columns, now transform over the rows.
    for(dptr = target,dend = target + 8;dptr < dend;dptr++) {
      INTER tz2         = dptr[2 << 3];
      INTER tz3         = dptr[6 << 3];
      INTER_FIXED z1    = (tz2 + tz3) *  TO_FIX(0.541196100);
      INTER_FIXED tmp2  = z1 +   tz3  * -TO_FIX(1.847759065);
      INTER_FIXED tmp3  = z1 +   tz2  *  TO_FIX(0.765366865);
      INTER_FIXED tmp0  = (dptr[0 << 3] + dptr[4 << 3]) << FIX_BITS;
      INTER_FIXED tmp1  = (dptr[0 << 3] - dptr[4 << 3]) << FIX_BITS;
      INTER_FIXED tmp10 = tmp0 + tmp3;
      INTER_FIXED tmp13 = tmp0 - tmp3;
      INTER_FIXED tmp11 = tmp1 + tmp2;
      INTER_FIXED tmp12 = tmp1 - tmp2;
      // Odd parts.
      INTER ttmp0       = dptr[7 << 3];
      INTER ttmp1       = dptr[5 << 3];
      INTER ttmp2       = dptr[3 << 3];
      INTER ttmp3       = dptr[1 << 3];
      INTER tz1         = ttmp0 + ttmp3;
      tz2               = ttmp1 + ttmp2;
      tz3               = ttmp0 + ttmp2;
      INTER tz4         = ttmp1 + ttmp3;
      INTER_FIXED z5    = (tz3 + tz4) * TO_FIX(1.175875602);
      tmp0              = ttmp0 * TO_FIX(0.298631336);
      tmp1              = ttmp1 * TO_FIX(2.053119869);
      tmp2              = ttmp2 * TO_FIX(3.072711026);
      tmp3              = ttmp3 * TO_FIX(1.501321110);
      z1                = tz1   *-TO_FIX(0.899976223);
      INTER_FIXED z2    = tz2   *-TO_FIX(2.562915447);
      INTER_FIXED z3    = tz3   *-TO_FIX(1.961570560) + z5;
      INTER_FIXED z4    = tz4   *-TO_FIX(0.390180644) + z5;
      tmp0             += z1 + z3;
      tmp1             += z2 + z4;
      tmp2             += z2 + z3;
      tmp3             += z1 + z4;
      
      dptr[0 << 3]      = INTER_FIXED_TO_INT(tmp10 + tmp3);
      dptr[7 << 3]      = INTER_FIXED_TO_INT(tmp10 - tmp3);
      dptr[1 << 3]      = INTER_FIXED_TO_INT(tmp11 + tmp2);
      dptr[6 << 3]      = INTER_FIXED_TO_INT(tmp11 - tmp2);
      dptr[2 << 3]      = INTER_FIXED_TO_INT(tmp12 + tmp1);
      dptr[5 << 3]      = INTER_FIXED_TO_INT(tmp12 - tmp1);
      dptr[3 << 3]      = INTER_FIXED_TO_INT(tmp13 + tmp0);
      dptr[4 << 3]      = INTER_FIXED_TO_INT(tmp13 - tmp0);
    }
  } else {
    memset(target,0,sizeof(LONG) * 64);
  }
}
///

/// IDCT::EstimateCriticalSlope
// Estimate a critical slope (lambda) from the unquantized data.
// Or to be precise, estimate lambda/delta^2, the constant in front of
// delta^2.
template<int preshift,typename T,bool deadzone,bool optimize>
DOUBLE IDCT<preshift,T,deadzone,optimize>::EstimateCriticalSlope(void)
{
#ifdef ESTIMATE_FROM_ENERGY 
  int i;
  double energy = 0.0;
  const double s1    = pow(2.0,14.75);
  const double s2    = pow(2.0,16.5);
  const double scale = double(1L << preshift) / 8.0;
  
  assert(optimize);
  for(i = 1;i < 63;i++) {
    double val   = m_lTransform[i] / scale;
    energy      += val * val;
  }
  energy  /= 63.0;

  return (s1 / (s2 + energy));
#else
  return 0.25;
#endif  
}
///

/// Instanciate the classes
template class IDCT<0,LONG,false,false>;
template class IDCT<1,LONG,false,false>; // For the RCT output
template class IDCT<ColorTrafo::COLOR_BITS,LONG,false,false>;
template class IDCT<ColorTrafo::COLOR_BITS,QUAD,false,false>;

template class IDCT<0,LONG,true,false>;
template class IDCT<1,LONG,true,false>; // For the RCT output
template class IDCT<ColorTrafo::COLOR_BITS,LONG,true,false>;
template class IDCT<ColorTrafo::COLOR_BITS,QUAD,true,false>;

template class IDCT<0,LONG,false,true>;
template class IDCT<1,LONG,false,true>; // For the RCT output
template class IDCT<ColorTrafo::COLOR_BITS,LONG,false,true>;
template class IDCT<ColorTrafo::COLOR_BITS,QUAD,false,true>;

template class IDCT<0,LONG,true,true>;
template class IDCT<1,LONG,true,true>; // For the RCT output
template class IDCT<ColorTrafo::COLOR_BITS,LONG,true,true>;
template class IDCT<ColorTrafo::COLOR_BITS,QUAD,true,true>;
///