aom_dsp/txfm_common.h

/*
 * Copyright (c) 2016, Alliance for Open Media. All rights reserved
 *
 * This source code is subject to the terms of the BSD 2 Clause License and
 * the Alliance for Open Media Patent License 1.0. If the BSD 2 Clause License
 * was not distributed with this source code in the LICENSE file, you can
 * obtain it at www.aomedia.org/license/software. If the Alliance for Open
 * Media Patent License 1.0 was not distributed with this source code in the
 * PATENTS file, you can obtain it at www.aomedia.org/license/patent.
 */

#ifndef AOM_DSP_TXFM_COMMON_H_
#define AOM_DSP_TXFM_COMMON_H_

#include "aom_dsp/aom_dsp_common.h"

// Constants and Macros used by all idct/dct functions
#define DCT_CONST_BITS 14
#define DCT_CONST_ROUNDING (1 << (DCT_CONST_BITS - 1))

#define UNIT_QUANT_SHIFT 2
#define UNIT_QUANT_FACTOR (1 << UNIT_QUANT_SHIFT)

typedef struct txfm_param {
  // for both forward and inverse transforms
  int tx_type;
  int tx_size;
  int lossless;
  int bd;
#if CONFIG_LGT
  int is_inter;
  int stride;
  int mode;
  uint8_t *dst;
#endif
// for inverse transforms only
#if CONFIG_ADAPT_SCAN
  const int16_t *eob_threshold;
#endif
  int eob;
} TxfmParam;

// Constants:
//  for (int i = 1; i< 32; ++i)
//    printf("static const int cospi_%d_64 = %.0f;\n", i,
//           round(16384 * cos(i*M_PI/64)));
// Note: sin(k*Pi/64) = cos((32-k)*Pi/64)
static const tran_high_t cospi_1_64 = 16364;
static const tran_high_t cospi_2_64 = 16305;
static const tran_high_t cospi_3_64 = 16207;
static const tran_high_t cospi_4_64 = 16069;
static const tran_high_t cospi_5_64 = 15893;
static const tran_high_t cospi_6_64 = 15679;
static const tran_high_t cospi_7_64 = 15426;
static const tran_high_t cospi_8_64 = 15137;
static const tran_high_t cospi_9_64 = 14811;
static const tran_high_t cospi_10_64 = 14449;
static const tran_high_t cospi_11_64 = 14053;
static const tran_high_t cospi_12_64 = 13623;
static const tran_high_t cospi_13_64 = 13160;
static const tran_high_t cospi_14_64 = 12665;
static const tran_high_t cospi_15_64 = 12140;
static const tran_high_t cospi_16_64 = 11585;
static const tran_high_t cospi_17_64 = 11003;
static const tran_high_t cospi_18_64 = 10394;
static const tran_high_t cospi_19_64 = 9760;
static const tran_high_t cospi_20_64 = 9102;
static const tran_high_t cospi_21_64 = 8423;
static const tran_high_t cospi_22_64 = 7723;
static const tran_high_t cospi_23_64 = 7005;
static const tran_high_t cospi_24_64 = 6270;
static const tran_high_t cospi_25_64 = 5520;
static const tran_high_t cospi_26_64 = 4756;
static const tran_high_t cospi_27_64 = 3981;
static const tran_high_t cospi_28_64 = 3196;
static const tran_high_t cospi_29_64 = 2404;
static const tran_high_t cospi_30_64 = 1606;
static const tran_high_t cospi_31_64 = 804;

//  16384 * sqrt(2) * sin(kPi/9) * 2 / 3
static const tran_high_t sinpi_1_9 = 5283;
static const tran_high_t sinpi_2_9 = 9929;
static const tran_high_t sinpi_3_9 = 13377;
static const tran_high_t sinpi_4_9 = 15212;

// 16384 * sqrt(2)
static const tran_high_t Sqrt2 = 23170;

static INLINE tran_high_t fdct_round_shift(tran_high_t input) {
  tran_high_t rv = ROUND_POWER_OF_TWO(input, DCT_CONST_BITS);
  return rv;
}

#if CONFIG_LGT
// The Line Graph Transforms (LGTs) matrices are written as follows.
// Each 2D array is 16384 times an LGT matrix, which is the matrix of
// eigenvectors of the graph Laplacian matrices for the line graph.

// LGT4 name: lgt4_140
// Self loops: 1.400, 0.000, 0.000, 0.000
// Edges: 1.000, 1.000, 1.000
static const tran_high_t lgt4_140[4][4] = {
  { 4206, 9518, 13524, 15674 },
  { 11552, 14833, 1560, -13453 },
  { 15391, -1906, -14393, 9445 },
  { 12201, -14921, 12016, -4581 },
};

// LGT4 name: lgt4_170
// Self loops: 1.700, 0.000, 0.000, 0.000
// Edges: 1.000, 1.000, 1.000
static const tran_high_t lgt4_170[4][4] = {
  { 3636, 9287, 13584, 15902 },
  { 10255, 15563, 2470, -13543 },
  { 14786, 711, -15249, 9231 },
  { 14138, -14420, 10663, -3920 },
};

// LGT8 name: lgt8_150
// Self loops: 1.500, 0.000, 0.000, 0.000, 0.000, 0.000, 0.000, 0.000
// Edges: 1.000, 1.000, 1.000, 1.000, 1.000, 1.000, 1.000
static const tran_high_t lgt8_150[8][8] = {
  { 2075, 5110, 7958, 10511, 12677, 14376, 15544, 16140 },
  { 6114, 13307, 16196, 13845, 7015, -2084, -10509, -15534 },
  { 9816, 16163, 8717, -6168, -15790, -11936, 2104, 14348 },
  { 12928, 12326, -7340, -15653, 242, 15763, 6905, -12632 },
  { 15124, 3038, -16033, 1758, 15507, -6397, -13593, 10463 },
  { 15895, -7947, -7947, 15895, -7947, -7947, 15895, -7947 },
  { 14325, -15057, 9030, 1050, -10659, 15483, -13358, 5236 },
  { 9054, -12580, 14714, -15220, 14043, -11312, 7330, -2537 },
};

// LGT8 name: lgt8_170
// Self loops: 1.700, 0.000, 0.000, 0.000, 0.000, 0.000, 0.000, 0.000
// Edges: 1.000, 1.000, 1.000, 1.000, 1.000, 1.000, 1.000
static const tran_high_t lgt8_170[8][8] = {
  { 1858, 4947, 7850, 10458, 12672, 14411, 15607, 16217 },
  { 5494, 13022, 16256, 14129, 7343, -1864, -10456, -15601 },
  { 8887, 16266, 9500, -5529, -15749, -12273, 1876, 14394 },
  { 11870, 13351, -6199, -15984, -590, 15733, 7273, -12644 },
  { 14248, 5137, -15991, 291, 15893, -5685, -13963, 10425 },
  { 15716, -5450, -10010, 15929, -6665, -8952, 16036, -7835 },
  { 15533, -13869, 6559, 3421, -12009, 15707, -13011, 5018 },
  { 11357, -13726, 14841, -14600, 13025, -10259, 6556, -2254 },
};
#endif  // CONFIG_LGT
#endif  // AOM_DSP_TXFM_COMMON_H_