idct.c 106 KB
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/*
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 * Copyright (c) 2016, Alliance for Open Media. All rights reserved
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 *
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 * 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.
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 */

#include <math.h>

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#include "./aom_dsp_rtcd.h"
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#include "./av1_rtcd.h"
#include "aom_dsp/inv_txfm.h"
#include "aom_ports/mem.h"
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#include "av1/common/av1_inv_txfm1d_cfg.h"
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#include "av1/common/blockd.h"
#include "av1/common/enums.h"
#include "av1/common/idct.h"
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#if CONFIG_DAALA_TX4 || CONFIG_DAALA_TX8 || CONFIG_DAALA_TX16 || \
    CONFIG_DAALA_TX32 || CONFIG_DAALA_TX64
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#include "av1/common/daala_tx.h"
#endif
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int av1_get_tx_scale(const TX_SIZE tx_size) {
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  const int pels = tx_size_2d[tx_size];
  return (pels > 256) + (pels > 1024) + (pels > 4096);
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}

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// NOTE: The implementation of all inverses need to be aware of the fact
// that input and output could be the same buffer.

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#if CONFIG_EXT_TX
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static void iidtx4_c(const tran_low_t *input, tran_low_t *output) {
  int i;
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  for (i = 0; i < 4; ++i) {
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    output[i] = (tran_low_t)dct_const_round_shift(input[i] * Sqrt2);
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  }
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}

static void iidtx8_c(const tran_low_t *input, tran_low_t *output) {
  int i;
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  for (i = 0; i < 8; ++i) {
    output[i] = input[i] * 2;
  }
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}

static void iidtx16_c(const tran_low_t *input, tran_low_t *output) {
  int i;
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  for (i = 0; i < 16; ++i) {
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    output[i] = (tran_low_t)dct_const_round_shift(input[i] * 2 * Sqrt2);
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  }
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}

static void iidtx32_c(const tran_low_t *input, tran_low_t *output) {
  int i;
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  for (i = 0; i < 32; ++i) {
    output[i] = input[i] * 4;
  }
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}
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#if CONFIG_TX64X64 && !CONFIG_DAALA_TX64
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static void iidtx64_c(const tran_low_t *input, tran_low_t *output) {
  int i;
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  for (i = 0; i < 64; ++i) {
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    output[i] = (tran_low_t)dct_const_round_shift(input[i] * 4 * Sqrt2);
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  }
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}
#endif  // CONFIG_TX64X64
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#endif  // CONFIG_EXT_TX
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// For use in lieu of ADST
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static void ihalfright32_c(const tran_low_t *input, tran_low_t *output) {
  int i;
  tran_low_t inputhalf[16];
  // Multiply input by sqrt(2)
  for (i = 0; i < 16; ++i) {
    inputhalf[i] = (tran_low_t)dct_const_round_shift(input[i] * Sqrt2);
  }
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  for (i = 0; i < 16; ++i) {
    output[i] = input[16 + i] * 4;
  }
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  aom_idct16_c(inputhalf, output + 16);
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  // Note overall scaling factor is 4 times orthogonal
}

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#if CONFIG_TX64X64 && !CONFIG_DAALA_TX64
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static void idct64_col_c(const tran_low_t *input, tran_low_t *output) {
  int32_t in[64], out[64];
  int i;
  for (i = 0; i < 64; ++i) in[i] = (int32_t)input[i];
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  av1_idct64_new(in, out, inv_cos_bit_col_dct_64, inv_stage_range_col_dct_64);
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  for (i = 0; i < 64; ++i) output[i] = (tran_low_t)out[i];
}

static void idct64_row_c(const tran_low_t *input, tran_low_t *output) {
  int32_t in[64], out[64];
  int i;
  for (i = 0; i < 64; ++i) in[i] = (int32_t)input[i];
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  av1_idct64_new(in, out, inv_cos_bit_row_dct_64, inv_stage_range_row_dct_64);
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  for (i = 0; i < 64; ++i) output[i] = (tran_low_t)out[i];
}

// For use in lieu of ADST
static void ihalfright64_c(const tran_low_t *input, tran_low_t *output) {
  int i;
  tran_low_t inputhalf[32];
  // Multiply input by sqrt(2)
  for (i = 0; i < 32; ++i) {
    inputhalf[i] = (tran_low_t)dct_const_round_shift(input[i] * Sqrt2);
  }
  for (i = 0; i < 32; ++i) {
    output[i] = (tran_low_t)dct_const_round_shift(input[32 + i] * 4 * Sqrt2);
  }
  aom_idct32_c(inputhalf, output + 32);
  // Note overall scaling factor is 4 * sqrt(2)  times orthogonal
}
#endif  // CONFIG_TX64X64

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// Inverse identity transform and add.
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#if CONFIG_EXT_TX
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static void inv_idtx_add_c(const tran_low_t *input, uint8_t *dest, int stride,
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                           int bsx, int bsy, TX_TYPE tx_type) {
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  int r, c;
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  const int pels = bsx * bsy;
  const int shift = 3 - ((pels > 256) + (pels > 1024));
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  if (tx_type == IDTX) {
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    for (r = 0; r < bsy; ++r) {
      for (c = 0; c < bsx; ++c)
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        dest[c] = clip_pixel_add(dest[c], input[c] >> shift);
      dest += stride;
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      input += bsx;
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    }
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  }
}
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#endif  // CONFIG_EXT_TX
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#define FLIPUD_PTR(dest, stride, size)       \
  do {                                       \
    (dest) = (dest) + ((size)-1) * (stride); \
    (stride) = -(stride);                    \
  } while (0)
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#if CONFIG_EXT_TX
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static void maybe_flip_strides(uint8_t **dst, int *dstride, tran_low_t **src,
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                               int *sstride, TX_TYPE tx_type, int sizey,
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                               int sizex) {
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  // Note that the transpose of src will be added to dst. In order to LR
  // flip the addends (in dst coordinates), we UD flip the src. To UD flip
  // the addends, we UD flip the dst.
  switch (tx_type) {
    case DCT_DCT:
    case ADST_DCT:
    case DCT_ADST:
    case ADST_ADST:
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    case IDTX:
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    case V_DCT:
    case H_DCT:
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    case V_ADST:
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    case H_ADST: break;
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    case FLIPADST_DCT:
    case FLIPADST_ADST:
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    case V_FLIPADST:
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      // flip UD
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      FLIPUD_PTR(*dst, *dstride, sizey);
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      break;
    case DCT_FLIPADST:
    case ADST_FLIPADST:
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    case H_FLIPADST:
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      // flip LR
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      FLIPUD_PTR(*src, *sstride, sizex);
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      break;
    case FLIPADST_FLIPADST:
      // flip UD
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      FLIPUD_PTR(*dst, *dstride, sizey);
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      // flip LR
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      FLIPUD_PTR(*src, *sstride, sizex);
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      break;
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    default: assert(0); break;
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  }
}
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#endif  // CONFIG_EXT_TX
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#if CONFIG_HIGHBITDEPTH
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#if CONFIG_EXT_TX && CONFIG_TX64X64
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static void highbd_inv_idtx_add_c(const tran_low_t *input, uint8_t *dest8,
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                                  int stride, int bsx, int bsy, TX_TYPE tx_type,
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                                  int bd) {
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  int r, c;
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  const int pels = bsx * bsy;
  const int shift = 3 - ((pels > 256) + (pels > 1024));
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  uint16_t *dest = CONVERT_TO_SHORTPTR(dest8);
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  if (tx_type == IDTX) {
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    for (r = 0; r < bsy; ++r) {
      for (c = 0; c < bsx; ++c)
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        dest[c] = highbd_clip_pixel_add(dest[c], input[c] >> shift, bd);
      dest += stride;
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      input += bsx;
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    }
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  }
}
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#endif  // CONFIG_EXT_TX && CONFIG_TX64X64
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#endif  // CONFIG_HIGHBITDEPTH
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#if CONFIG_LGT || CONFIG_LGT_FROM_PRED
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void ilgt4(const tran_low_t *input, tran_low_t *output,
           const tran_high_t *lgtmtx) {
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  if (!lgtmtx) assert(0);
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#if CONFIG_LGT_FROM_PRED
  // For DCT/ADST, use butterfly implementations
  if (lgtmtx[0] == DCT4) {
    aom_idct4_c(input, output);
    return;
  } else if (lgtmtx[0] == ADST4) {
    aom_iadst4_c(input, output);
    return;
  }
#endif  // CONFIG_LGT_FROM_PRED

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  // evaluate s[j] = sum of all lgtmtx[j]*input[i] over i=1,...,4
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  tran_high_t s[4] = { 0 };
  for (int i = 0; i < 4; ++i)
    for (int j = 0; j < 4; ++j) s[j] += lgtmtx[i * 4 + j] * input[i];

  for (int i = 0; i < 4; ++i) output[i] = WRAPLOW(dct_const_round_shift(s[i]));
}

void ilgt8(const tran_low_t *input, tran_low_t *output,
           const tran_high_t *lgtmtx) {
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  if (!lgtmtx) assert(0);
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#if CONFIG_LGT_FROM_PRED
  // For DCT/ADST, use butterfly implementations
  if (lgtmtx[0] == DCT8) {
    aom_idct8_c(input, output);
    return;
  } else if (lgtmtx[0] == ADST8) {
    aom_iadst8_c(input, output);
    return;
  }
#endif  // CONFIG_LGT_FROM_PRED

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  // evaluate s[j] = sum of all lgtmtx[j]*input[i] over i=1,...,8
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  tran_high_t s[8] = { 0 };
  for (int i = 0; i < 8; ++i)
    for (int j = 0; j < 8; ++j) s[j] += lgtmtx[i * 8 + j] * input[i];

  for (int i = 0; i < 8; ++i) output[i] = WRAPLOW(dct_const_round_shift(s[i]));
}
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#endif  // CONFIG_LGT || CONFIG_LGT_FROM_PRED
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#if CONFIG_LGT
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// get_lgt4 and get_lgt8 return 1 and pick a lgt matrix if LGT is chosen to
// apply. Otherwise they return 0
int get_lgt4(const TxfmParam *txfm_param, int is_col,
             const tran_high_t **lgtmtx) {
  if (is_col && (vtx_tab[txfm_param->tx_type] == ADST_1D ||
                 vtx_tab[txfm_param->tx_type] == FLIPADST_1D)) {
    lgtmtx[0] = txfm_param->is_inter ? &lgt4_170[0][0] : &lgt4_140[0][0];
    return 1;
  } else if (!is_col && (htx_tab[txfm_param->tx_type] == ADST_1D ||
                         htx_tab[txfm_param->tx_type] == FLIPADST_1D)) {
    lgtmtx[0] = txfm_param->is_inter ? &lgt4_170[0][0] : &lgt4_140[0][0];
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    return 1;
  }
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  lgtmtx[0] = NULL;
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  return 0;
}

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int get_lgt8(const TxfmParam *txfm_param, int is_col,
             const tran_high_t **lgtmtx) {
  if (is_col && (vtx_tab[txfm_param->tx_type] == ADST_1D ||
                 vtx_tab[txfm_param->tx_type] == FLIPADST_1D)) {
    lgtmtx[0] = txfm_param->is_inter ? &lgt8_170[0][0] : &lgt8_150[0][0];
    return 1;
  } else if (!is_col && (htx_tab[txfm_param->tx_type] == ADST_1D ||
                         htx_tab[txfm_param->tx_type] == FLIPADST_1D)) {
    lgtmtx[0] = txfm_param->is_inter ? &lgt8_170[0][0] : &lgt8_150[0][0];
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    return 1;
  }
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  lgtmtx[0] = NULL;
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  return 0;
}
#endif  // CONFIG_LGT

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#if CONFIG_LGT_FROM_PRED
void ilgt16up(const tran_low_t *input, tran_low_t *output,
              const tran_high_t *lgtmtx) {
  if (lgtmtx[0] == DCT16) {
    aom_idct16_c(input, output);
    return;
  } else if (lgtmtx[0] == ADST16) {
    aom_iadst16_c(input, output);
    return;
  } else if (lgtmtx[0] == DCT32) {
    aom_idct32_c(input, output);
    return;
  } else if (lgtmtx[0] == ADST32) {
    ihalfright32_c(input, output);
    return;
  } else {
    assert(0);
  }
}

void get_discontinuity_1d(uint8_t *arr, int n, int *idx_max_diff) {
  *idx_max_diff = -1;

  int temp = 0, max_diff = 0, min_diff = INT_MAX;
  for (int i = 1; i < n; ++i) {
    temp = abs(arr[i] - arr[i - 1]);
    if (temp > max_diff) {
      max_diff = temp;
      *idx_max_diff = i;
    }
    if (temp < min_diff) min_diff = temp;
  }
}

void get_discontinuity_2d(uint8_t *dst, int stride, int n, int is_col,
                          int *idx_max_diff, int ntx) {
  *idx_max_diff = -1;

  int diff = 0, temp = 0, max_diff = 0, min_diff = INT_MAX;
  for (int i = 1; i < n; ++i) {
    temp = 0;
    for (int j = 0; j < ntx; ++j) {
      if (is_col)  // vertical diff
        diff = dst[i * stride + j] - dst[(i - 1) * stride + j];
      else  // horizontal diff
        diff = dst[j * stride + i] - dst[j * stride + i - 1];
      temp += diff * diff;
    }
    // temp/w is the i-th avg square diff
    if (temp > max_diff) {
      max_diff = temp;
      *idx_max_diff = i;
    }
    if (temp < min_diff) min_diff = temp;
  }
}

int idx_selfloop_wrt_mode(PREDICTION_MODE mode, int is_col) {
  // 0: no self-loop
  // 1: small self-loop
  // 2: medium self-loop
  // 3: large self-loop
  switch (mode) {
    case DC_PRED:
    case SMOOTH_PRED:
      // predition is good for both directions: large SLs for row and col
      return 3;
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    case PAETH_PRED: return 0;
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#if CONFIG_SMOOTH_HV
    case SMOOTH_H_PRED:
#endif
    case H_PRED:
      // prediction is good for H direction: large SL for row only
      return is_col ? 0 : 3;
#if CONFIG_SMOOTH_HV
    case SMOOTH_V_PRED:
#endif
    case V_PRED:
      // prediction is good for V direction: large SL for col only
      return is_col ? 3 : 0;
#if LGT_SL_INTRA
    // directional mode: choose SL based on the direction
    case D45_PRED: return is_col ? 2 : 0;
    case D63_PRED: return is_col ? 3 : 0;
    case D117_PRED: return is_col ? 3 : 1;
    case D135_PRED: return 2;
    case D153_PRED: return is_col ? 1 : 3;
    case D207_PRED: return is_col ? 0 : 3;
#else
    case D45_PRED:
    case D63_PRED:
    case D117_PRED: return is_col ? 3 : 0;
    case D135_PRED:
    case D153_PRED:
    case D207_PRED: return is_col ? 0 : 3;
#endif
    // inter: no SL
    default: return 0;
  }
}

void get_lgt4_from_pred(const TxfmParam *txfm_param, int is_col,
                        const tran_high_t **lgtmtx, int ntx) {
  PREDICTION_MODE mode = txfm_param->mode;
  int stride = txfm_param->stride;
  uint8_t *dst = txfm_param->dst;
  int bp = -1;
  uint8_t arr[4];

  // Each lgt4mtx_arr[k][i] corresponds to a line graph with a self-loop on
  // the first node, and possibly a weak edge within the line graph. i is
  // the index of the weak edge (between the i-th and (i+1)-th pixels, i=0
  // means no weak edge). k corresponds to the first self-loop's weight
  const tran_high_t *lgt4mtx_arr[4][4] = {
    { &lgt4_000[0][0], &lgt4_000w1[0][0], &lgt4_000w2[0][0],
      &lgt4_000w3[0][0] },
    { &lgt4_060[0][0], &lgt4_060_000w1[0][0], &lgt4_060_000w2[0][0],
      &lgt4_060_000w3[0][0] },
    { &lgt4_100[0][0], &lgt4_100_000w1[0][0], &lgt4_100_000w2[0][0],
      &lgt4_100_000w3[0][0] },
    { &lgt4_150[0][0], &lgt4_150_000w1[0][0], &lgt4_150_000w2[0][0],
      &lgt4_150_000w3[0][0] },
  };

  // initialize to DCT or some LGTs, and then change later if necessary
  int idx_sl = idx_selfloop_wrt_mode(mode, is_col);
  lgtmtx[0] = lgt4mtx_arr[idx_sl][0];

  // find the break point and replace the line graph by the one with a
  // break point
  if (mode == DC_PRED || mode == SMOOTH_PRED) {
    // Do not use break point, since 1) is_left_available and is_top_available
    // in DC_PRED are not known by txfm_param for now, so accessing
    // both boundaries anyway may cause a mismatch 2) DC prediciton
    // typically yields very smooth residues so having the break point
    // does not usually improve the RD result.
    return;
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  } else if (mode == PAETH_PRED) {
    // PAETH_PRED: use both 1D top boundary and 1D left boundary
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    if (is_col)
      for (int i = 0; i < 4; ++i) arr[i] = dst[i * stride];
    else
      for (int i = 0; i < 4; ++i) arr[i] = dst[i];
    get_discontinuity_1d(&arr[0], 4, &bp);
  } else if (mode == V_PRED) {
    // V_PRED: use 1D top boundary only
    if (is_col) return;
    for (int i = 0; i < 4; ++i) arr[i] = dst[i];
    get_discontinuity_1d(&arr[0], 4, &bp);
  } else if (mode == H_PRED) {
    // H_PRED: use 1D left boundary only
    if (!is_col) return;
    for (int i = 0; i < 4; ++i) arr[i] = dst[i * stride];
    get_discontinuity_1d(&arr[0], 4, &bp);
#if CONFIG_SMOOTH_HV
  } else if (mode == SMOOTH_V_PRED) {
    if (is_col) return;
    for (int i = 0; i < 4; ++i) arr[i] = dst[-stride + i];
    get_discontinuity_1d(&arr[0], 4, &bp);
  } else if (mode == SMOOTH_H_PRED) {
    if (!is_col) return;
    for (int i = 0; i < 4; ++i) arr[i] = dst[i * stride - 1];
    get_discontinuity_1d(&arr[0], 4, &bp);
#endif
  } else if (mode == D45_PRED || mode == D63_PRED || mode == D117_PRED) {
    // directional modes closer to vertical (maybe include D135 later)
    if (!is_col) get_discontinuity_2d(dst, stride, 4, 0, &bp, ntx);
  } else if (mode == D135_PRED || mode == D153_PRED || mode == D207_PRED) {
    // directional modes closer to horizontal
    if (is_col) get_discontinuity_2d(dst, stride, 4, 1, &bp, ntx);
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  } else if (mode > PAETH_PRED) {
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    // inter
    get_discontinuity_2d(dst, stride, 4, is_col, &bp, ntx);
  }

#if LGT_SL_INTRA
  if (bp != -1) lgtmtx[0] = lgt4mtx_arr[idx_sl][bp];
#else
  if (bp != -1) lgtmtx[0] = lgt4mtx_arr[0][bp];
#endif
}

void get_lgt8_from_pred(const TxfmParam *txfm_param, int is_col,
                        const tran_high_t **lgtmtx, int ntx) {
  PREDICTION_MODE mode = txfm_param->mode;
  int stride = txfm_param->stride;
  uint8_t *dst = txfm_param->dst;
  int bp = -1;
  uint8_t arr[8];

  const tran_high_t *lgt8mtx_arr[4][8] = {
    { &lgt8_000[0][0], &lgt8_000w1[0][0], &lgt8_000w2[0][0], &lgt8_000w3[0][0],
      &lgt8_000w4[0][0], &lgt8_000w5[0][0], &lgt8_000w6[0][0],
      &lgt8_000w7[0][0] },
    { &lgt8_060[0][0], &lgt8_060_000w1[0][0], &lgt8_060_000w2[0][0],
      &lgt8_060_000w3[0][0], &lgt8_060_000w4[0][0], &lgt8_060_000w5[0][0],
      &lgt8_060_000w6[0][0], &lgt8_060_000w7[0][0] },
    { &lgt8_100[0][0], &lgt8_100_000w1[0][0], &lgt8_100_000w2[0][0],
      &lgt8_100_000w3[0][0], &lgt8_100_000w4[0][0], &lgt8_100_000w5[0][0],
      &lgt8_100_000w6[0][0], &lgt8_100_000w7[0][0] },
    { &lgt8_150[0][0], &lgt8_150_000w1[0][0], &lgt8_150_000w2[0][0],
      &lgt8_150_000w3[0][0], &lgt8_150_000w4[0][0], &lgt8_150_000w5[0][0],
      &lgt8_150_000w6[0][0], &lgt8_150_000w7[0][0] },
  };

  int idx_sl = idx_selfloop_wrt_mode(mode, is_col);
  lgtmtx[0] = lgt8mtx_arr[idx_sl][0];

  if (mode == DC_PRED || mode == SMOOTH_PRED) {
    return;
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  } else if (mode == PAETH_PRED) {
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    if (is_col)
      for (int i = 0; i < 8; ++i) arr[i] = dst[i * stride];
    else
      for (int i = 0; i < 8; ++i) arr[i] = dst[i];
    get_discontinuity_1d(&arr[0], 8, &bp);
  } else if (mode == V_PRED) {
    if (is_col) return;
    for (int i = 0; i < 8; ++i) arr[i] = dst[i];
    get_discontinuity_1d(&arr[0], 8, &bp);
  } else if (mode == H_PRED) {
    if (!is_col) return;
    for (int i = 0; i < 8; ++i) arr[i] = dst[i * stride];
    get_discontinuity_1d(&arr[0], 8, &bp);
#if CONFIG_SMOOTH_HV
  } else if (mode == SMOOTH_V_PRED) {
    if (is_col) return;
    for (int i = 0; i < 8; ++i) arr[i] = dst[-stride + i];
    get_discontinuity_1d(&arr[0], 8, &bp);
  } else if (mode == SMOOTH_H_PRED) {
    if (!is_col) return;
    for (int i = 0; i < 8; ++i) arr[i] = dst[i * stride - 1];
    get_discontinuity_1d(&arr[0], 8, &bp);
#endif
  } else if (mode == D45_PRED || mode == D63_PRED || mode == D117_PRED) {
    if (!is_col) get_discontinuity_2d(dst, stride, 8, 0, &bp, ntx);
  } else if (mode == D135_PRED || mode == D153_PRED || mode == D207_PRED) {
    if (is_col) get_discontinuity_2d(dst, stride, 8, 1, &bp, ntx);
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  } else if (mode > PAETH_PRED) {
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    get_discontinuity_2d(dst, stride, 8, is_col, &bp, ntx);
  }

#if LGT_SL_INTRA
  if (bp != -1) lgtmtx[0] = lgt8mtx_arr[idx_sl][bp];
#else
  if (bp != -1) lgtmtx[0] = lgt8mtx_arr[0][bp];
#endif
}

// Since LGTs with length >8 are not implemented now, the following function
// will just call DCT or ADST
void get_lgt16up_from_pred(const TxfmParam *txfm_param, int is_col,
                           const tran_high_t **lgtmtx, int ntx) {
  int tx_length = is_col ? tx_size_high[txfm_param->tx_size]
                         : tx_size_wide[txfm_param->tx_size];
  assert(tx_length == 16 || tx_length == 32);
  PREDICTION_MODE mode = txfm_param->mode;

  (void)ntx;
  const tran_high_t *dctmtx =
      tx_length == 16 ? &lgt16_000[0][0] : &lgt32_000[0][0];
  const tran_high_t *adstmtx =
      tx_length == 16 ? &lgt16_200[0][0] : &lgt32_200[0][0];

  switch (mode) {
    case DC_PRED:
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    case PAETH_PRED:
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    case SMOOTH_PRED:
      // prediction from both top and left -> ADST
      lgtmtx[0] = adstmtx;
      break;
    case V_PRED:
    case D45_PRED:
    case D63_PRED:
    case D117_PRED:
#if CONFIG_SMOOTH_HV
    case SMOOTH_V_PRED:
#endif
      // prediction from the top more than from the left -> ADST
      lgtmtx[0] = is_col ? adstmtx : dctmtx;
      break;
    case H_PRED:
    case D135_PRED:
    case D153_PRED:
    case D207_PRED:
#if CONFIG_SMOOTH_HV
    case SMOOTH_H_PRED:
#endif
      // prediction from the left more than from the top -> DCT
      lgtmtx[0] = is_col ? dctmtx : adstmtx;
      break;
    default: lgtmtx[0] = dctmtx; break;
  }
}

typedef void (*IlgtFunc)(const tran_low_t *input, tran_low_t *output,
                         const tran_high_t *lgtmtx);

static IlgtFunc ilgt_func[4] = { ilgt4, ilgt8, ilgt16up, ilgt16up };

typedef void (*GetLgtFunc)(const TxfmParam *txfm_param, int is_col,
                           const tran_high_t **lgtmtx, int ntx);

static GetLgtFunc get_lgt_func[4] = { get_lgt4_from_pred, get_lgt8_from_pred,
                                      get_lgt16up_from_pred,
                                      get_lgt16up_from_pred };

// this inline function corresponds to the up scaling before the transpose
// operation in the av1_iht* functions
static INLINE tran_low_t inv_upscale_wrt_txsize(const tran_high_t val,
                                                const TX_SIZE tx_size) {
  switch (tx_size) {
    case TX_4X4:
    case TX_8X8:
    case TX_4X16:
    case TX_16X4:
    case TX_8X32:
    case TX_32X8: return (tran_low_t)val;
    case TX_4X8:
    case TX_8X4:
    case TX_8X16:
    case TX_16X8: return (tran_low_t)dct_const_round_shift(val * Sqrt2);
    default: assert(0); break;
  }
  return 0;
}

// This inline function corresponds to the bit shift before summing with the
// destination in the av1_iht* functions
static INLINE tran_low_t inv_downscale_wrt_txsize(const tran_low_t val,
                                                  const TX_SIZE tx_size) {
  switch (tx_size) {
    case TX_4X4: return ROUND_POWER_OF_TWO(val, 4);
    case TX_4X8:
    case TX_8X4:
    case TX_8X8:
    case TX_4X16:
    case TX_16X4: return ROUND_POWER_OF_TWO(val, 5);
    case TX_8X16:
    case TX_16X8:
    case TX_8X32:
    case TX_32X8: return ROUND_POWER_OF_TWO(val, 6);
    default: assert(0); break;
  }
  return 0;
}

void ilgt2d_from_pred_add(const tran_low_t *input, uint8_t *dest, int stride,
                          const TxfmParam *txfm_param) {
  const TX_SIZE tx_size = txfm_param->tx_size;
  const int w = tx_size_wide[tx_size];
  const int h = tx_size_high[tx_size];
  const int wlog2 = tx_size_wide_log2[tx_size];
  const int hlog2 = tx_size_high_log2[tx_size];
  assert(w <= 8 || h <= 8);

  int i, j;
  // largest 1D size allowed for LGT: 32
  // largest 2D size allowed for LGT: 8x32=256
  tran_low_t tmp[256], out[256], temp1d[32];
  const tran_high_t *lgtmtx_col[1];
  const tran_high_t *lgtmtx_row[1];
  get_lgt_func[hlog2 - 2](txfm_param, 1, lgtmtx_col, w);
  get_lgt_func[wlog2 - 2](txfm_param, 0, lgtmtx_row, h);

// for inverse transform, to be consistent with av1_iht functions, we always
// apply row transforms first and column transforms second, but both
// row-first and column-first versions are implemented here for future
// tests (use different lgtmtx_col[i], and choose row or column tx first
// depending on transforms).
#if 1
  // inverse column transforms
  for (i = 0; i < w; ++i) {
    // transpose
    for (j = 0; j < h; ++j) tmp[i * h + j] = input[j * w + i];
    ilgt_func[hlog2 - 2](&tmp[i * h], temp1d, lgtmtx_col[0]);
    // upscale, and store in place
    for (j = 0; j < h; ++j)
      tmp[i * h + j] = inv_upscale_wrt_txsize(temp1d[j], tx_size);
  }
  // inverse row transforms
  for (i = 0; i < h; ++i) {
    for (j = 0; j < w; ++j) temp1d[j] = tmp[j * h + i];
    ilgt_func[wlog2 - 2](temp1d, &out[i * w], lgtmtx_row[0]);
  }
  // downscale + sum with the destination
  for (i = 0; i < h; ++i) {
    for (j = 0; j < w; ++j) {
      int d = i * stride + j;
      int s = i * w + j;
      dest[d] =
          clip_pixel_add(dest[d], inv_downscale_wrt_txsize(out[s], tx_size));
    }
  }
#else
  // inverse row transforms
  for (i = 0; i < h; ++i) {
    ilgt_func[wlog2 - 2](input, temp1d, lgtmtx_row[0]);
    // upscale and transpose (tmp[j*h+i] <--> tmp[j][i])
    for (j = 0; j < w; ++j)
      tmp[j * h + i] = inv_upscale_wrt_txsize(temp1d[j], tx_size);
    input += w;
  }
  // inverse column transforms
  for (i = 0; i < w; ++i)
    ilgt_func[hlog2 - 2](&tmp[i * h], &out[i * h], lgtmtx_col[0]);
  // here, out[] is the transpose of 2D block of transform coefficients

  // downscale + transform + sum with dest
  for (i = 0; i < h; ++i) {
    for (j = 0; j < w; ++j) {
      int d = i * stride + j;
      int s = j * h + i;
      dest[d] =
          clip_pixel_add(dest[d], inv_downscale_wrt_txsize(out[s], tx_size));
    }
  }
#endif
}
#endif  // CONFIG_LGT_FROM_PRED

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void av1_iht4x4_16_add_c(const tran_low_t *input, uint8_t *dest, int stride,
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                         const TxfmParam *txfm_param) {
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  const TX_TYPE tx_type = txfm_param->tx_type;
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#if CONFIG_MRC_TX
  assert(tx_type != MRC_DCT && "Invalid tx type for tx size");
#endif  // CONFIG_MRC_TX
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#if !CONFIG_DAALA_TX4
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  if (tx_type == DCT_DCT) {
    aom_idct4x4_16_add(input, dest, stride);
    return;
  }
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#endif
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  static const transform_2d IHT_4[] = {
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    { daala_idct4, daala_idct4 },  // DCT_DCT  = 0
    { daala_idst4, daala_idct4 },  // ADST_DCT = 1
    { daala_idct4, daala_idst4 },  // DCT_ADST = 2
    { daala_idst4, daala_idst4 },  // ADST_ADST = 3
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#if CONFIG_EXT_TX
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    { daala_idst4, daala_idct4 },  // FLIPADST_DCT
    { daala_idct4, daala_idst4 },  // DCT_FLIPADST
    { daala_idst4, daala_idst4 },  // FLIPADST_FLIPADST
    { daala_idst4, daala_idst4 },  // ADST_FLIPADST
    { daala_idst4, daala_idst4 },  // FLIPADST_ADST
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    { daala_idtx4, daala_idtx4 },  // IDTX
    { daala_idct4, daala_idtx4 },  // V_DCT
    { daala_idtx4, daala_idct4 },  // H_DCT
    { daala_idst4, daala_idtx4 },  // V_ADST
    { daala_idtx4, daala_idst4 },  // H_ADST
    { daala_idst4, daala_idtx4 },  // V_FLIPADST
    { daala_idtx4, daala_idst4 },  // H_FLIPADST
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#endif
#else
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    { aom_idct4_c, aom_idct4_c },    // DCT_DCT  = 0
    { aom_iadst4_c, aom_idct4_c },   // ADST_DCT = 1
    { aom_idct4_c, aom_iadst4_c },   // DCT_ADST = 2
    { aom_iadst4_c, aom_iadst4_c },  // ADST_ADST = 3
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#if CONFIG_EXT_TX
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    { aom_iadst4_c, aom_idct4_c },   // FLIPADST_DCT
    { aom_idct4_c, aom_iadst4_c },   // DCT_FLIPADST
    { aom_iadst4_c, aom_iadst4_c },  // FLIPADST_FLIPADST
    { aom_iadst4_c, aom_iadst4_c },  // ADST_FLIPADST
    { aom_iadst4_c, aom_iadst4_c },  // FLIPADST_ADST
    { iidtx4_c, iidtx4_c },          // IDTX
    { aom_idct4_c, iidtx4_c },       // V_DCT
    { iidtx4_c, aom_idct4_c },       // H_DCT
    { aom_iadst4_c, iidtx4_c },      // V_ADST
    { iidtx4_c, aom_iadst4_c },      // H_ADST
    { aom_iadst4_c, iidtx4_c },      // V_FLIPADST
    { iidtx4_c, aom_iadst4_c },      // H_FLIPADST
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#endif
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#endif
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  };

  int i, j;
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  tran_low_t tmp[4][4];
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  tran_low_t out[4][4];
  tran_low_t *outp = &out[0][0];
  int outstride = 4;
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#if CONFIG_DCT_ONLY
  assert(tx_type == DCT_DCT);
#endif

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#if CONFIG_LGT
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  const tran_high_t *lgtmtx_col[1];
  const tran_high_t *lgtmtx_row[1];
  int use_lgt_col = get_lgt4(txfm_param, 1, lgtmtx_col);
  int use_lgt_row = get_lgt4(txfm_param, 0, lgtmtx_row);
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#endif

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  // inverse transform row vectors
  for (i = 0; i < 4; ++i) {
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#if CONFIG_DAALA_TX4
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    tran_low_t temp_in[4];
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    for (j = 0; j < 4; j++) temp_in[j] = input[j] * 2;
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    IHT_4[tx_type].rows(temp_in, out[i]);
#else
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#if CONFIG_LGT
    if (use_lgt_row)
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      ilgt4(input, out[i], lgtmtx_row[0]);
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    else
#endif
      IHT_4[tx_type].rows(input, out[i]);
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#endif
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    input += 4;
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  }

  // transpose
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  for (i = 0; i < 4; i++) {
    for (j = 0; j < 4; j++) {
      tmp[j][i] = out[i][j];
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    }
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  }

  // inverse transform column vectors
  for (i = 0; i < 4; ++i) {
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#if CONFIG_LGT
    if (use_lgt_col)
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      ilgt4(tmp[i], out[i], lgtmtx_col[0]);
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    else
#endif
      IHT_4[tx_type].cols(tmp[i], out[i]);
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  }

#if CONFIG_EXT_TX
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  maybe_flip_strides(&dest, &stride, &outp, &outstride, tx_type, 4, 4);
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#endif

  // Sum with the destination
  for (i = 0; i < 4; ++i) {
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    for (j = 0; j < 4; ++j) {
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      int d = i * stride + j;
      int s = j * outstride + i;
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      dest[d] = clip_pixel_add(dest[d], ROUND_POWER_OF_TWO(outp[s], 4));
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#else
      dest[d] = clip_pixel_add(dest[d], ROUND_POWER_OF_TWO(outp[s], 4));
#endif
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    }
  }
}

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void av1_iht4x8_32_add_c(const tran_low_t *input, uint8_t *dest, int stride,
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                         const TxfmParam *txfm_param) {
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  const TX_TYPE tx_type = txfm_param->tx_type;
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#if CONFIG_MRC_TX
  assert(tx_type != MRC_DCT && "Invalid tx type for tx size");
#endif  // CONFIG_MRC_TX
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#if CONFIG_DCT_ONLY
  assert(tx_type == DCT_DCT);
#endif
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  static const transform_2d IHT_4x8[] = {
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#if CONFIG_DAALA_TX4 && CONFIG_DAALA_TX8
    { daala_idct8, daala_idct4 },  // DCT_DCT  = 0
    { daala_idst8, daala_idct4 },  // ADST_DCT = 1
    { daala_idct8, daala_idst4 },  // DCT_ADST = 2
    { daala_idst8, daala_idst4 },  // ADST_ADST = 3
#if CONFIG_EXT_TX
    { daala_idst8, daala_idct4 },  // FLIPADST_DCT
    { daala_idct8, daala_idst4 },  // DCT_FLIPADST
    { daala_idst8, daala_idst4 },  // FLIPADST_FLIPADST
    { daala_idst8, daala_idst4 },  // ADST_FLIPADST
    { daala_idst8, daala_idst4 },  // FLIPADST_ADST
    { daala_idtx8, daala_idtx4 },  // IDTX
    { daala_idct8, daala_idtx4 },  // V_DCT
    { daala_idtx8, daala_idct4 },  // H_DCT
    { daala_idst8, daala_idtx4 },  // V_ADST
    { daala_idtx8, daala_idst4 },  // H_ADST
    { daala_idst8, daala_idtx4 },  // V_FLIPADST
    { daala_idtx8, daala_idst4 },  // H_FLIPADST
#endif
#else
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    { aom_idct8_c, aom_idct4_c },    // DCT_DCT
    { aom_iadst8_c, aom_idct4_c },   // ADST_DCT
    { aom_idct8_c, aom_iadst4_c },   // DCT_ADST
    { aom_iadst8_c, aom_iadst4_c },  // ADST_ADST
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#if CONFIG_EXT_TX
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    { aom_iadst8_c, aom_idct4_c },   // FLIPADST_DCT
    { aom_idct8_c, aom_iadst4_c },   // DCT_FLIPADST
    { aom_iadst8_c, aom_iadst4_c },  // FLIPADST_FLIPADST
    { aom_iadst8_c, aom_iadst4_c },  // ADST_FLIPADST
    { aom_iadst8_c, aom_iadst4_c },  // FLIPADST_ADST
    { iidtx8_c, iidtx4_c },          // IDTX
    { aom_idct8_c, iidtx4_c },       // V_DCT
    { iidtx8_c, aom_idct4_c },       // H_DCT
    { aom_iadst8_c, iidtx4_c },      // V_ADST
    { iidtx8_c, aom_iadst4_c },      // H_ADST
    { aom_iadst8_c, iidtx4_c },      // V_FLIPADST
    { iidtx8_c, aom_iadst4_c },      // H_FLIPADST
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#endif
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#endif
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  };

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  const int n = 4;
  const int n2 = 8;
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  int i, j;
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  tran_low_t out[4][8], tmp[4][8], outtmp[4];
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  tran_low_t *outp = &out[0][0];
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  int outstride = n2;
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#if CONFIG_LGT
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  const tran_high_t *lgtmtx_col[1];
  const tran_high_t *lgtmtx_row[1];
  int use_lgt_col = get_lgt8(txfm_param, 1, lgtmtx_col);
  int use_lgt_row = get_lgt4(txfm_param, 0, lgtmtx_row);
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#endif

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  // Multi-way scaling matrix (bits):
  // LGT/AV1 row,col     input+0, rowTX+.5, mid+.5, colTX+1, out-5 == -3
  // LGT row, Daala col  input+0, rowTX+.5, mid+.5, colTX+0, out-4 == -3
  // Daala row, LGT col  input+1, rowTX+0,  mid+0,  colTX+1, out-5 == -3
  // Daala row,col       input+1, rowTX+0,  mid+0,  colTX+0, out-4 == -3

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  // inverse transform row vectors and transpose
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  for (i = 0; i < n2; ++i) {
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#if CONFIG_LGT
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    if (use_lgt_row) {
      // Scaling cases 1 and 2 above
      // No input scaling
      // Row transform (LGT; scales up .5 bits)
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      ilgt4(input, outtmp, lgtmtx_row[0]);
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      // Transpose and mid scaling up by .5 bit
      for (j = 0; j < n; ++j)
        tmp[j][i] = (tran_low_t)dct_const_round_shift(outtmp[j] * Sqrt2);
    } else {
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#endif
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#if CONFIG_DAALA_TX4 && CONFIG_DAALA_TX8
      // Daala row transform; Scaling cases 3 and 4 above
      tran_low_t temp_in[4];
      // Input scaling up by 1 bit
      for (j = 0; j < n; j++) temp_in[j] = input[j] * 2;
      // Row transform; Daala does not scale
      IHT_4x8[tx_type].rows(temp_in, outtmp);
      // Transpose; no mid scaling
      for (j = 0; j < n; ++j) tmp[j][i] = outtmp[j];
#else
    // AV1 row transform; Scaling case 1 only
    // Row transform (AV1 scales up .5 bits)
    IHT_4x8[tx_type].rows(input, outtmp);
    // Transpose and mid scaling up by .5 bit
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    for (j = 0; j < n; ++j)
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      tmp[j][i] = (tran_low_t)dct_const_round_shift(outtmp[j] * Sqrt2);
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#endif
#if CONFIG_LGT
    }
#endif
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    input += n;
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  }

  // inverse transform column vectors
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  // AV1/LGT column TX scales up by 1 bit, Daala does not scale
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  for (i = 0; i < n; ++i) {
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#if CONFIG_LGT
    if (use_lgt_col)
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      ilgt8(tmp[i], out[i], lgtmtx_col[0]);
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    else
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      IHT_4x8[tx_type].cols(tmp[i], out[i]);
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  }

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#if CONFIG_EXT_TX
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  maybe_flip_strides(&dest, &stride, &outp, &outstride, tx_type, n2, n);
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#endif
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  // Sum with the destination
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  for (i = 0; i < n2; ++i) {
    for (j = 0; j < n; ++j) {
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      int d = i * stride + j;
      int s = j * outstride + i;
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#if CONFIG_DAALA_TX4 && CONFIG_DAALA_TX8
#if CONFIG_LGT
      if (use_lgt_col)
        // Output Scaling cases 1, 3
        dest[d] = clip_pixel_add(dest[d], ROUND_POWER_OF_TWO(outp[s], 5));
      else
#endif
        // Output scaling cases 2, 4
        dest[d] = clip_pixel_add(dest[d], ROUND_POWER_OF_TWO(outp[s], 4));
#else
      // Output scaling case 1 only
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      dest[d] = clip_pixel_add(dest[d], ROUND_POWER_OF_TWO(outp[s], 5));
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#endif
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    }
  }
}

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void av1_iht8x4_32_add_c(const tran_low_t *input, uint8_t *dest, int stride,
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                         const TxfmParam *txfm_param) {
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  const TX_TYPE tx_type = txfm_param->tx_type;
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#if CONFIG_MRC_TX
  assert(tx_type != MRC_DCT && "Invalid tx type for tx size");
#endif  // CONFIG_MRC_TX
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#if CONFIG_DCT_ONLY
  assert(tx_type == DCT_DCT);
#endif
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  static const transform_2d IHT_8x4[] = {
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#if CONFIG_DAALA_TX4 && CONFIG_DAALA_TX8
    { daala_idct4, daala_idct8 },  // DCT_DCT  = 0
    { daala_idst4, daala_idct8 },  // ADST_DCT = 1
    { daala_idct4, daala_idst8 },  // DCT_ADST = 2
    { daala_idst4, daala_idst8 },  // ADST_ADST = 3
#if CONFIG_EXT_TX
    { daala_idst4, daala_idct8 },  // FLIPADST_DCT
    { daala_idct4, daala_idst8 },  // DCT_FLIPADST
    { daala_idst4, daala_idst8 },  // FLIPADST_FLIPADST
    { daala_idst4, daala_idst8 },  // ADST_FLIPADST
    { daala_idst4, daala_idst8 },  // FLIPADST_ADST
    { daala_idtx4, daala_idtx8 },  // IDTX
    { daala_idct4, daala_idtx8 },  // V_DCT
    { daala_idtx4, daala_idct8 },  // H_DCT
    { daala_idst4, daala_idtx8 },  // V_ADST
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