transform.c

Nokia H.264/AVC Encoder/Decoder Usage Manual

/*
COPYRIGHT, LICENSE AND WARRANTY INFORMATION

This software module has been originally developed by Nokia Corporation. 

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limited license under copyrights owned by Nokia to use the Software for 
the sole purpose of creating, manufacturing, selling, marketing, or  
distributing (including the right to make modifications to the Software) 
a fully compliant decoder implementation (hereinafter "Decoder") of 
ITU-T Recommendation H.264 / ISO/IEC International Standard 14496-10 and 
an encoder implementation producing output that is decodable with the 
Decoder.

Nokia retains the ownership of copyrights to the Software. There is no 
patent nor other intellectual property right of Nokia licensed under this 
Statement (except the copyright license above). Licensee hereby assumes 
sole responsibility to secure any other intellectual property rights 
needed, if any. For example, if patent licenses  are required, it is 
their responsibility to acquire the license before utilizing the Software.

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non-exclusive, worldwide, royalty-free, perpetual and irrevocable 
covenant that the Licensee(s) shall not bring a suit before any court or 
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the Licensee intellectual property rights that, but for a license, would 
be infringed by the Software against  
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which suit or claim is related to the Software or use thereof.

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ANY AND ALL WARRANTIES WHETHER EXPRESS, IMPLIED OR STATUTORY, INCLUDING 
BUT NOT LIMITED TO THE IMPLIED WARRANTIES OF MERCHANTABILITY, FITNESS 
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THE SOFTWARE ARE EXPRESSLY ADVISED THAT ITS USE MAY INFRINGE EXISTING 
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USING THE SOFTWARE ON THE BASIS OF THIS LICENSE AGREES TO OBTAIN THE 
NECESSARY PERMISSIONS FROM ANY AND ALL APPLICABLE PATENT OWNERS FOR SUCH 
USE.

IN NO EVENT SHALL THE ORIGINAL DEVELOPER BE LIABLE FOR ANY CLAIM, 
DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT 
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OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.

This copyright, license and warranty information notice must be retained 
in all copies and derivative works of the Software or substantial 
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*/



#include <stdio.h>
#include <math.h>
#include <limits.h>
#include "globals.h"
#include "transform.h"


#define QUANT_INTRA_ADD    (TRA_QUANT_SCALE/3)
#define QUANT_INTER_ADD    (TRA_QUANT_SCALE/6)


static const int16 quantCoef[6][16] = {
  {13107, 8066,13107, 8066, 8066, 5243, 8066, 5243,13107, 8066,13107, 8066, 8066, 5243, 8066, 5243},
  {11916, 7490,11916, 7490, 7490, 4660, 7490, 4660,11916, 7490,11916, 7490, 7490, 4660, 7490, 4660},
  {10082, 6554,10082, 6554, 6554, 4194, 6554, 4194,10082, 6554,10082, 6554, 6554, 4194, 6554, 4194},
  { 9362, 5825, 9362, 5825, 5825, 3647, 5825, 3647, 9362, 5825, 9362, 5825, 5825, 3647, 5825, 3647},
  { 8192, 5243, 8192, 5243, 5243, 3355, 5243, 3355, 8192, 5243, 8192, 5243, 5243, 3355, 5243, 3355},
  { 7282, 4559, 7282, 4559, 4559, 2893, 4559, 2893, 7282, 4559, 7282, 4559, 4559, 2893, 4559, 2893}
};


extern const int8 qpPerTab[52];
extern const int8 qpRemTab[52];


/* array used to find expencive coefficients */
static const int8 COEFF_COST[16] = {
  3,2,2,1,1,1,0,0,0,0,0,0,0,0,0,0
};


/*
 *
 * traDCT4x4:
 *
 * Parameters:
 *      src                   Source values, and also store the results
 *
 * Function:
 *      Compute approximate 4x4 forward DCT.
 *
 * Returns:
 *      -
 */
void traDCT4x4(int src[4][4])
{
  int tmp[4][4];
  int e;
  int f;
  int i;

  /*
   *  A = 13a + 13b + 13c + 13d
   *  B = 17a +  7b -  7c - 17d
   *  C = 13a - 13b - 13c + 13d
   *  D = 7a  - 17b + 17c -  7d
   *
   *  e = a + d
   *  f = b + c
   *  A = 13(e + f)
   *  C = 13(e - f)
   *  e = a - d
   *  f = b - c
   *  B = 17e +  7f
   *  D =  7e - 17f
   */

  /* Horizontal transform */
  for (i = 0; i < 4; i++) {
    e = src[i][0] + src[i][3];
    f = src[i][1] + src[i][2];
    tmp[i][0] = e + f;
    tmp[i][2] = e - f;
    e = src[i][0] - src[i][3];
    f = src[i][1] - src[i][2];
    tmp[i][1] = 2*e +   f;
    tmp[i][3] =   e - 2*f;
  }

  /* Vertical transform */
  for (i = 0; i < 4; i++) {
    e = tmp[0][i] + tmp[3][i];
    f = tmp[1][i] + tmp[2][i];
    src[0][i] = e + f;
    src[2][i] = e - f;
    e = tmp[0][i] - tmp[3][i];
    f = tmp[1][i] - tmp[2][i];
    src[1][i] = 2*e +   f;
    src[3][i] =   e - 2*f;
  }
}


/*
 *
 * traHada4x4:
 *
 * Parameters:
 *      src                   Source values, and also store the results
 *
 * Function:
 *      Compute Hadamard Transform.
 *
 * Returns:
 *      -
 */
void traHada4x4(int src[4][4])
{
  int tmp[4][4];
  int e;
  int f;
  int i;

  /* Horizontal transform */
  for (i = 0; i < 4; i++) {
    e = src[i][0] + src[i][3];
    f = src[i][1] + src[i][2];
    tmp[i][0] = e + f;
    tmp[i][2] = e - f;
    e = src[i][0] - src[i][3];
    f = src[i][1] - src[i][2];
    tmp[i][1] = e + f;
    tmp[i][3] = e - f;
  }

  /* Vertical transform */
  for (i = 0; i < 4; i++) {
    e = tmp[0][i] + tmp[3][i];
    f = tmp[1][i] + tmp[2][i];
    src[0][i] = (e + f)>>1;
    src[2][i] = (e - f)>>1;
    e = tmp[0][i] - tmp[3][i];
    f = tmp[1][i] - tmp[2][i];
    src[1][i] = (e + f)>>1;
    src[3][i] = (e - f)>>1;
  }
}


/*
 *
 * traDCT2x2:
 *
 * Parameters:
 *      src                   Source values, and also store the results
 *
 * Function:
 *      Compute 2x2 forward DCT.
 *
 * Returns:
 *      -
 */
void traDCT2x2(int src[2][2])
{
  int DC0 = src[0][0];
  int DC1 = src[0][1];
  int DC2 = src[1][0];
  int DC3 = src[1][1];
  int A, B;

  /*
   *  DC0 DC1  =>  DDC(0,0) DDC(1,0)
   *  DC2 DC3      DDC(0,1) DDC(1,1)
   *
   *  DDC(0,0) = (DC0+DC1+DC2+DC3)
   *  DDC(1,0) = (DC0-DC1+DC2-DC3)
   *  DDC(0,1) = (DC0+DC1-DC2-DC3)
   *  DDC(1,1) = (DC0-DC1-DC2+DC3)
   */

  A = DC0 + DC2;
  B = DC1 + DC3;
  src[0][0] = (A + B);
  src[0][1] = (A - B);
  A = DC0 - DC2;
  B = DC1 - DC3;
  src[1][0] = (A + B);
  src[1][1] = (A - B);
}


/*
 *
 * traHadamard4x4:
 *
 * Parameters:
 *      src                   Source values, and also store the results
 *
 * Function:
 *      Compute Hadamard Transform and sum of absolute coefficients
 *
 * Returns:
 *      Sum of absolute coefficiets
 *
 */

int traHadamard4x4(int src[4][4])
{
  int tmp[4][4];
  int e;
  int f;
  int i;
  int sad;

  /*
   *  A = a + b + c + d
   *  B = a + b - c - d
   *  C = a - b - c + d
   *  D = a - b + c - d
   *
   *  e = a + d
   *  f = b + c
   *  A = e + f
   *  C = e - f
   *  e = a - d
   *  f = b - c
   *  B = e + f
   *  D = e - f
   */

  /* Horizontal transform */
  for (i = 0; i < 4; i++) {
    e = src[i][0] + src[i][3];
    f = src[i][1] + src[i][2];
    tmp[i][0] = e + f;
    tmp[i][2] = e - f;
    e = src[i][0] - src[i][3];
    f = src[i][1] - src[i][2];
    tmp[i][1] = e + f;
    tmp[i][3] = e - f;
  }

  /* Vertical transform and SATD */
  for (sad = 0, i = 0; i < 4; i++) {
    e = tmp[0][i] + tmp[3][i];
    f = tmp[1][i] + tmp[2][i];
    sad += abs(e + f);
    sad += abs(e - f);
    e = tmp[0][i] - tmp[3][i];
    f = tmp[1][i] - tmp[2][i];
    sad += abs(e + f);
    sad += abs(e - f);
  }

  return sad;
}



/*
 *
 * traDiffSATD4x4:
 *
 * Parameters:
 *      orig            Original values
 *      pred            Prediction values
 *
 * Function:
 *      Compute difference between orig and pred, compute hadamard
 *      transform on difference matrix and compute sum of absolute
 *      transformed differences.
 *
 * Returns:
 *      Sum of absolute transformed differences
 *
 */
int traDiffSATD4x4(u_int8 orig[BLK_SIZE][MBK_SIZE],
                   u_int8 pred[BLK_SIZE][MBK_SIZE])
{
  int tmp[4][4];
  int a, b, c, d;
  int e;
  int f;