/*
 * Copyright (c) 2021, Alliance for Open Media. All rights reserved
 *
 * This source code is subject to the terms of the BSD 3-Clause Clear License
 * and the Alliance for Open Media Patent License 1.0. If the BSD 3-Clause Clear
 * License was not distributed with this source code in the LICENSE file, you
 * can obtain it at aomedia.org/license/software-license/bsd-3-c-c/.  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
 * aomedia.org/license/patent-license/.
 */

#include <math.h>
#include <limits.h>

#include "config/aom_config.h"

#include "av1/common/alloccommon.h"
#include "av1/common/av1_common_int.h"
#include "av1/common/odintrin.h"
#include "av1/common/quant_common.h"
#include "av1/common/reconinter.h"
#include "av1/encoder/av1_quantize.h"
#include "av1/encoder/encoder.h"
#include "av1/encoder/extend.h"
#include "av1/encoder/firstpass.h"
#include "av1/encoder/mcomp.h"
#include "av1/encoder/ratectrl.h"
#include "av1/encoder/reconinter_enc.h"
#include "av1/encoder/segmentation.h"
#include "av1/encoder/temporal_filter.h"
#include "aom_dsp/aom_dsp_common.h"
#include "aom_mem/aom_mem.h"
#include "aom_ports/aom_timer.h"
#include "aom_ports/mem.h"
#include "aom_ports/system_state.h"
#include "aom_scale/aom_scale.h"

/*!\cond */

// NOTE: All `tf` in this file means `temporal filtering`.

// Forward Declaration.
static void tf_determine_block_partition(const MV block_mv, const int block_mse,
                                         MV *subblock_mvs, int *subblock_mses);

/*!\endcond */
/*!\brief Does motion search for blocks in temporal filtering. This is
 *  the first step for temporal filtering. More specifically, given a frame to
 * be filtered and another frame as reference, this function searches the
 * reference frame to find out the most similar block as that from the frame
 * to be filtered. This found block will be further used for weighted
 * averaging.
 *
 * NOTE: Besides doing motion search for the entire block, this function will
 *       also do motion search for each 1/4 sub-block to get more precise
 *       predictions. Then, this function will determines whether to use 4
 *       sub-blocks to replace the entire block. If we do need to split the
 *       entire block, 4 elements in `subblock_mvs` and `subblock_mses` refer to
 *       the searched motion vector and search error (MSE) w.r.t. each sub-block
 *       respectively. Otherwise, the 4 elements will be the same, all of which
 *       are assigned as the searched motion vector and search error (MSE) for
 *       the entire block.
 *
 * \ingroup src_frame_proc
 * \param[in]   cpi             Top level encoder instance structure
 * \param[in]   frame_to_filter Pointer to the frame to be filtered
 * \param[in]   ref_frame       Pointer to the reference frame
 * \param[in]   block_size      Block size used for motion search
 * \param[in]   mb_row          Row index of the block in the frame
 * \param[in]   mb_col          Column index of the block in the frame
 * \param[in]   ref_mv          Reference motion vector, which is commonly
 *                              inherited from the motion search result of
 *                              previous frame.
 * \param[out]  subblock_mvs    Pointer to the motion vectors for 4 sub-blocks
 * \param[out]  subblock_mses   Pointer to the search errors (MSE) for 4
 *                              sub-blocks
 *
 * Nothing returned. Results are saved in subblock_mvs and subblock_mses.
 */
static void tf_motion_search(AV1_COMP *cpi,
                             const YV12_BUFFER_CONFIG *frame_to_filter,
                             const YV12_BUFFER_CONFIG *ref_frame,
                             const BLOCK_SIZE block_size, const int mb_row,
                             const int mb_col, MV *ref_mv, MV *subblock_mvs,
                             int *subblock_mses) {
  // Frame information
  const int min_frame_size = AOMMIN(cpi->common.width, cpi->common.height);

  // Block information (ONLY Y-plane is used for motion search).
  const int mb_height = block_size_high[block_size];
  const int mb_width = block_size_wide[block_size];
  const int mb_pels = mb_height * mb_width;
  const int y_stride = frame_to_filter->y_stride;
  assert(y_stride == ref_frame->y_stride);
  const int y_offset = mb_row * mb_height * y_stride + mb_col * mb_width;

  // Save input state.
#if CONFIG_FLEX_MVRES
  const AV1_COMMON *cm = &cpi->common;
#if CONFIG_IBC_BV_IMPROVEMENT
  const int is_ibc_cost = 0;
#endif
#endif
  MACROBLOCK *const mb = &cpi->td.mb;
  MACROBLOCKD *const mbd = &mb->e_mbd;
  const struct buf_2d ori_src_buf = mb->plane[0].src;
  const struct buf_2d ori_pre_buf = mbd->plane[0].pre[0];

  // Parameters used for motion search.
  FULLPEL_MOTION_SEARCH_PARAMS full_ms_params;
  SUBPEL_MOTION_SEARCH_PARAMS ms_params;
  const SEARCH_METHODS search_method = NSTEP;
  const search_site_config *search_site_cfg =
      cpi->mv_search_params.search_site_cfg[SS_CFG_LOOKAHEAD];
  const int step_param = av1_init_search_range(
      AOMMAX(frame_to_filter->y_crop_width, frame_to_filter->y_crop_height));
  const SUBPEL_SEARCH_TYPE subpel_search_type = USE_8_TAPS;
  const int force_integer_mv = cpi->common.features.cur_frame_force_integer_mv;
  const MV_COST_TYPE mv_cost_type =
      min_frame_size >= 720
          ? MV_COST_L1_HDRES
          : (min_frame_size >= 480 ? MV_COST_L1_MIDRES : MV_COST_L1_LOWRES);

#if CONFIG_FLEX_MVRES
  assert(cm->features.fr_mv_precision == MV_PRECISION_ONE_EIGHTH_PEL);
  const MvSubpelPrecision pb_mv_precision = MV_PRECISION_ONE_EIGHTH_PEL;
#endif

  // Starting position for motion search.
  FULLPEL_MV start_mv = get_fullmv_from_mv(ref_mv);
  // Baseline position for motion search (used for rate distortion comparison).
#if CONFIG_FLEX_MVRES
  full_pel_lower_mv_precision(&start_mv, pb_mv_precision);
#endif
  const MV baseline_mv = kZeroMv;

  // Setup.
  mb->plane[0].src.buf = frame_to_filter->y_buffer + y_offset;
  mb->plane[0].src.stride = y_stride;
  mbd->plane[0].pre[0].buf = ref_frame->y_buffer + y_offset;
  mbd->plane[0].pre[0].stride = y_stride;
  // Unused intermediate results for motion search.
  unsigned int sse, error;
  int distortion;
  int cost_list[5];

  // Do motion search.
  int_mv best_mv;  // Searched motion vector.
  int block_mse = INT_MAX;
  MV block_mv = kZeroMv;

  av1_make_default_fullpel_ms_params(&full_ms_params, cpi, mb, block_size,
                                     &baseline_mv,
#if CONFIG_FLEX_MVRES
                                     pb_mv_precision,
#if CONFIG_IBC_BV_IMPROVEMENT
                                     is_ibc_cost,
#endif
#endif
                                     search_site_cfg,
#if CONFIG_2D_SR_SECOND_PRED_FIX
	  /*fine_search_interval=*/0, 0);
#else
	  /*fine_search_interval=*/0);
#endif
  av1_set_mv_search_method(&full_ms_params, search_site_cfg, search_method);
  full_ms_params.run_mesh_search = 1;
  full_ms_params.mv_cost_params.mv_cost_type = mv_cost_type;

  av1_full_pixel_search(start_mv, &full_ms_params, step_param,
                        cond_cost_list(cpi, cost_list), &best_mv.as_fullmv,
                        NULL);

  if (force_integer_mv == 1) {  // Only do full search on the entire block.
    const int mv_row = best_mv.as_mv.row;
    const int mv_col = best_mv.as_mv.col;
    best_mv.as_mv.row = GET_MV_SUBPEL(mv_row);
    best_mv.as_mv.col = GET_MV_SUBPEL(mv_col);
    const int mv_offset = mv_row * y_stride + mv_col;
    error = cpi->fn_ptr[block_size].vf(
        ref_frame->y_buffer + y_offset + mv_offset, y_stride,
        frame_to_filter->y_buffer + y_offset, y_stride, &sse);
    block_mse = DIVIDE_AND_ROUND(error, mb_pels);
    block_mv = best_mv.as_mv;
  } else {  // Do fractional search on the entire block and all sub-blocks.
    av1_make_default_subpel_ms_params(&ms_params, cpi, mb, block_size,
                                      &baseline_mv,
#if CONFIG_FLEX_MVRES
                                      pb_mv_precision,
#endif
#if CONFIG_2D_SR_SECOND_PRED_FIX
		cost_list, 0);
#else
		cost_list);
#endif
    ms_params.forced_stop = EIGHTH_PEL;
    ms_params.var_params.subpel_search_type = subpel_search_type;
    // Since we are merely refining the result from full pixel search, we don't
    // need regularization for subpel search
    ms_params.mv_cost_params.mv_cost_type = MV_COST_NONE;

    MV subpel_start_mv = get_mv_from_fullmv(&best_mv.as_fullmv);
    assert(av1_is_subpelmv_in_range(&ms_params.mv_limits, subpel_start_mv));
#if CONFIG_FLEX_MVRES
    error = cpi->mv_search_params.find_fractional_mv_step(
        &mb->e_mbd, cm, &ms_params, subpel_start_mv, &best_mv.as_mv,
        &distortion, &sse, NULL);
#else
    error = cpi->mv_search_params.find_fractional_mv_step(
        &mb->e_mbd, &cpi->common, &ms_params, subpel_start_mv, &best_mv.as_mv,
        &distortion, &sse, NULL);
#endif
    block_mse = DIVIDE_AND_ROUND(error, mb_pels);
    block_mv = best_mv.as_mv;
    *ref_mv = best_mv.as_mv;
    // On 4 sub-blocks.
    const BLOCK_SIZE subblock_size = ss_size_lookup[block_size][1][1];
    const int subblock_height = block_size_high[subblock_size];
    const int subblock_width = block_size_wide[subblock_size];
    const int subblock_pels = subblock_height * subblock_width;
    start_mv = get_fullmv_from_mv(ref_mv);

#if CONFIG_FLEX_MVRES
    full_pel_lower_mv_precision(&start_mv, pb_mv_precision);
#endif

    int subblock_idx = 0;
    for (int i = 0; i < mb_height; i += subblock_height) {
      for (int j = 0; j < mb_width; j += subblock_width) {
        const int offset = i * y_stride + j;
        mb->plane[0].src.buf = frame_to_filter->y_buffer + y_offset + offset;
        mbd->plane[0].pre[0].buf = ref_frame->y_buffer + y_offset + offset;
        av1_make_default_fullpel_ms_params(&full_ms_params, cpi, mb,
                                           subblock_size, &baseline_mv,
#if CONFIG_FLEX_MVRES
                                           pb_mv_precision,
#if CONFIG_IBC_BV_IMPROVEMENT
                                           is_ibc_cost,
#endif
#endif
                                           search_site_cfg,
#if CONFIG_2D_SR_SECOND_PRED_FIX
			/*fine_search_interval=*/0, 0);
#else
			/*fine_search_interval=*/0);
#endif
        av1_set_mv_search_method(&full_ms_params, search_site_cfg,
                                 search_method);
        full_ms_params.run_mesh_search = 1;
        full_ms_params.mv_cost_params.mv_cost_type = mv_cost_type;

        av1_full_pixel_search(start_mv, &full_ms_params, step_param,
                              cond_cost_list(cpi, cost_list),
                              &best_mv.as_fullmv, NULL);

        av1_make_default_subpel_ms_params(&ms_params, cpi, mb, subblock_size,
                                          &baseline_mv,
#if CONFIG_FLEX_MVRES
                                          pb_mv_precision,
#endif
#if CONFIG_2D_SR_SECOND_PRED_FIX
			cost_list, 0);
#else
			cost_list);
#endif
        ms_params.forced_stop = EIGHTH_PEL;
        ms_params.var_params.subpel_search_type = subpel_search_type;
        // Since we are merely refining the result from full pixel search, we
        // don't need regularization for subpel search
        ms_params.mv_cost_params.mv_cost_type = MV_COST_NONE;

        subpel_start_mv = get_mv_from_fullmv(&best_mv.as_fullmv);
#if CONFIG_FLEX_MVRES
        error = cpi->mv_search_params.find_fractional_mv_step(
            &mb->e_mbd, cm, &ms_params, subpel_start_mv, &best_mv.as_mv,
            &distortion, &sse, NULL);
#else
        error = cpi->mv_search_params.find_fractional_mv_step(
            &mb->e_mbd, &cpi->common, &ms_params, subpel_start_mv,
            &best_mv.as_mv, &distortion, &sse, NULL);
#endif
        subblock_mses[subblock_idx] = DIVIDE_AND_ROUND(error, subblock_pels);
        subblock_mvs[subblock_idx] = best_mv.as_mv;
        ++subblock_idx;
      }
    }
  }

  // Restore input state.
  mb->plane[0].src = ori_src_buf;
  mbd->plane[0].pre[0] = ori_pre_buf;

  // Make partition decision.
  tf_determine_block_partition(block_mv, block_mse, subblock_mvs,
                               subblock_mses);

  // Do not pass down the reference motion vector if error is too large.
  const int thresh = (min_frame_size >= 720) ? 12 : 3;
  if (block_mse > (thresh << (mbd->bd - 8))) {
    *ref_mv = kZeroMv;
  }
}
/*!\cond */

// Determines whether to split the entire block to 4 sub-blocks for filtering.
// In particular, this decision is made based on the comparison between the
// motion search error of the entire block and the errors of all sub-blocks.
// Inputs:
//   block_mv: Motion vector for the entire block (ONLY as reference).
//   block_mse: Motion search error (MSE) for the entire block (ONLY as
//              reference).
//   subblock_mvs: Pointer to the motion vectors for 4 sub-blocks (will be
//                 modified based on the partition decision).
//   subblock_mses: Pointer to the search errors (MSE) for 4 sub-blocks (will
//                  be modified based on the partition decision).
// Returns:
//   Nothing will be returned. Results are saved in `subblock_mvs` and
//   `subblock_mses`.
static void tf_determine_block_partition(const MV block_mv, const int block_mse,
                                         MV *subblock_mvs, int *subblock_mses) {
  int min_subblock_mse = INT_MAX;
  int max_subblock_mse = INT_MIN;
  int64_t sum_subblock_mse = 0;
  for (int i = 0; i < 4; ++i) {
    sum_subblock_mse += subblock_mses[i];
    min_subblock_mse = AOMMIN(min_subblock_mse, subblock_mses[i]);
    max_subblock_mse = AOMMAX(max_subblock_mse, subblock_mses[i]);
  }

  // TODO(any): The following magic numbers may be tuned to improve the
  // performance OR find a way to get rid of these magic numbers.
  if (((block_mse * 15 < sum_subblock_mse * 4) &&
       max_subblock_mse - min_subblock_mse < 48) ||
      ((block_mse * 14 < sum_subblock_mse * 4) &&
       max_subblock_mse - min_subblock_mse < 24)) {  // No split.
    for (int i = 0; i < 4; ++i) {
      subblock_mvs[i] = block_mv;
      subblock_mses[i] = block_mse;
    }
  }
}

/*!\endcond */
/*!\brief Builds predictor for blocks in temporal filtering. This is the
 * second step for temporal filtering, which is to construct predictions from
 * all reference frames INCLUDING the frame to be filtered itself. These
 * predictors are built based on the motion search results (motion vector is
 * set as 0 for the frame to be filtered), and will be futher used for
 * weighted averaging.
 *
 * \ingroup src_frame_proc
 * \param[in]   ref_frame      Pointer to the reference frame (or the frame
 *                             to be filtered)
 * \param[in]   mbd            Pointer to the block for filtering. Besides
 *                             containing the subsampling information of all
 *                             planes, this field also gives the searched
 *                             motion vector for the entire block, i.e.,
 *                             `mbd->mi[0]->mv[0]`. This vector  should be 0
 *                             if the `ref_frame` itself is the frame to be
 *                             filtered.
 * \param[in]   block_size     Size of the block
 * \param[in]   mb_row         Row index of the block in the frame
 * \param[in]   mb_col         Column index of the block in the frame
 * \param[in]   num_planes     Number of planes in the frame
 * \param[in]   scale          Scaling factor
 * \param[in]   subblock_mvs   The motion vectors for each sub-block (row-major
 *                             order)
 * \param[out]  pred           Pointer to the predictor to be built
 *
 * Nothing returned, But the contents of `pred` will be modified.
 */
#if CONFIG_2D_SR_MC_PHASE_FIX
static void tf_build_predictor(const YV12_BUFFER_CONFIG *ref_frame,
                               const MACROBLOCKD *mbd,
                               const BLOCK_SIZE block_size, const int mb_row,
                               const int mb_col, const int num_planes,
                               const struct scale_factors *scale,
                               const MV *subblock_mvs, uint16_t *pred,
                               const struct AV1Common *const cm) {
#else
static void tf_build_predictor(const YV12_BUFFER_CONFIG *ref_frame,
                               const MACROBLOCKD *mbd,
                               const BLOCK_SIZE block_size, const int mb_row,
                               const int mb_col, const int num_planes,
                               const struct scale_factors *scale,
                               const MV *subblock_mvs, uint16_t *pred) {
#endif
  // Information of the entire block.
  const int mb_height = block_size_high[block_size];  // Height.
  const int mb_width = block_size_wide[block_size];   // Width.
  const int mb_pels = mb_height * mb_width;           // Number of pixels.
  const int mb_y = mb_height * mb_row;                // Y-coord (Top-left).
  const int mb_x = mb_width * mb_col;                 // X-coord (Top-left).
  const int bit_depth = mbd->bd;                      // Bit depth.
  const int is_intrabc = 0;                           // Is intra-copied?

  // Default interpolation filters.
  const InterpFilter interp_filters = MULTITAP_SHARP2;

  // Handle Y-plane, U-plane and V-plane (if needed) in sequence.
  int plane_offset = 0;
  for (int plane = 0; plane < num_planes; ++plane) {
    const int subsampling_y = mbd->plane[plane].subsampling_y;
    const int subsampling_x = mbd->plane[plane].subsampling_x;
    // Information of each sub-block in current plane.
    const int plane_h = mb_height >> subsampling_y;  // Plane height.
    const int plane_w = mb_width >> subsampling_x;   // Plane width.
    const int plane_y = mb_y >> subsampling_y;       // Y-coord (Top-left).
    const int plane_x = mb_x >> subsampling_x;       // X-coord (Top-left).
    const int h = plane_h >> 1;                      // Sub-block height.
    const int w = plane_w >> 1;                      // Sub-block width.
    const int is_y_plane = (plane == 0);             // Is Y-plane?

    const struct buf_2d ref_buf = { NULL, ref_frame->buffers[plane],
                                    ref_frame->widths[is_y_plane ? 0 : 1],
                                    ref_frame->heights[is_y_plane ? 0 : 1],
                                    ref_frame->strides[is_y_plane ? 0 : 1] };

    // Handle each subblock.
    int subblock_idx = 0;
    for (int i = 0; i < plane_h; i += h) {
      for (int j = 0; j < plane_w; j += w) {
        // Choose proper motion vector.
        const MV mv = subblock_mvs[subblock_idx++];
        assert(mv.row >= INT16_MIN && mv.row <= INT16_MAX &&
               mv.col >= INT16_MIN && mv.col <= INT16_MAX);

        const int y = plane_y + i;
        const int x = plane_x + j;

        // Build predictior for each sub-block on current plane.
        InterPredParams inter_pred_params;
        av1_init_inter_params(&inter_pred_params, w, h, y, x, subsampling_x,
                              subsampling_y, bit_depth, is_intrabc, scale,
                              &ref_buf, interp_filters);
#if CONFIG_2D_SR_MC_PHASE_FIX
        av1_init_phase_offset(&inter_pred_params, cm);
#endif
        inter_pred_params.conv_params = get_conv_params(0, plane, bit_depth);
        av1_enc_build_one_inter_predictor(&pred[plane_offset + i * plane_w + j],
                                          plane_w, &mv, &inter_pred_params);
      }
    }
    plane_offset += mb_pels;
  }
}
/*!\cond */

// Computes temporal filter weights and accumulators for the frame to be
// filtered. More concretely, the filter weights for all pixels are the same.
// Inputs:
//   mbd: Pointer to the block for filtering, which is ONLY used to get
//        subsampling information of all planes as well as the bit-depth.
//   block_size: Size of the block.
//   num_planes: Number of planes in the frame.
//   pred: Pointer to the well-built predictors.
//   accum: Pointer to the pixel-wise accumulator for filtering.
//   count: Pointer to the pixel-wise counter fot filtering.
// Returns:
//   Nothing will be returned. But the content to which `accum` and `pred`
//   point will be modified.
void tf_apply_temporal_filter_self(const MACROBLOCKD *mbd,
                                   const BLOCK_SIZE block_size,
                                   const int num_planes, const uint16_t *pred,
                                   uint32_t *accum, uint16_t *count) {
  // Block information.
  const int mb_height = block_size_high[block_size];
  const int mb_width = block_size_wide[block_size];
  const int mb_pels = mb_height * mb_width;

  int plane_offset = 0;
  for (int plane = 0; plane < num_planes; ++plane) {
    const int subsampling_y = mbd->plane[plane].subsampling_y;
    const int subsampling_x = mbd->plane[plane].subsampling_x;
    const int h = mb_height >> subsampling_y;  // Plane height.
    const int w = mb_width >> subsampling_x;   // Plane width.

    int pred_idx = 0;
    for (int i = 0; i < h; ++i) {
      for (int j = 0; j < w; ++j) {
        const int idx = plane_offset + pred_idx;  // Index with plane shift.
        const int pred_value = pred[idx];
        accum[idx] += TF_WEIGHT_SCALE * pred_value;
        count[idx] += TF_WEIGHT_SCALE;
        ++pred_idx;
      }
    }
    plane_offset += mb_pels;
  }
}

// Function to compute pixel-wise squared difference between two buffers.
// Inputs:
//   ref: Pointer to reference buffer.
//   ref_offset: Start position of reference buffer for computation.
//   ref_stride: Stride for reference buffer.
//   tgt: Pointer to target buffer.
//   tgt_offset: Start position of target buffer for computation.
//   tgt_stride: Stride for target buffer.
//   height: Height of block for computation.
//   width: Width of block for computation.
//   square_diff: Pointer to save the squared differces.
// Returns:
//   Nothing will be returned. But the content to which `square_diff` points
//   will be modified.
static INLINE void compute_square_diff(
    const uint16_t *ref, const int ref_offset, const int ref_stride,
    const uint16_t *tgt, const int tgt_offset, const int tgt_stride,
    const int height, const int width, uint32_t *square_diff) {
  int ref_idx = 0;
  int tgt_idx = 0;
  int idx = 0;
  for (int i = 0; i < height; ++i) {
    for (int j = 0; j < width; ++j) {
      const uint16_t ref_value = ref[ref_offset + ref_idx];
      const uint16_t tgt_value = tgt[tgt_offset + tgt_idx];
      const uint32_t diff = (ref_value > tgt_value) ? (ref_value - tgt_value)
                                                    : (tgt_value - ref_value);
      square_diff[idx] = diff * diff;

      ++ref_idx;
      ++tgt_idx;
      ++idx;
    }
    ref_idx += (ref_stride - width);
    tgt_idx += (tgt_stride - width);
  }
}

/*!\endcond */
/*!\brief Applies temporal filtering. NOTE that there are various optimised
 * versions of this function called where the appropriate instruction set is
 * supported.
 *
 * \ingroup src_frame_proc
 * \param[in]   frame_to_filter Pointer to the frame to be filtered, which is
 *                              used as reference to compute squared
 *                              difference from the predictor.
 * \param[in]   mbd             Pointer to the block for filtering, ONLY used
 *                              to get subsampling information for the  planes
 * \param[in]   block_size      Size of the block
 * \param[in]   mb_row          Row index of the block in the frame
 * \param[in]   mb_col          Column index of the block in the frame
 * \param[in]   num_planes      Number of planes in the frame
 * \param[in]   noise_levels    Estimated noise levels for each plane
 *                              in the frame (Y,U,V)
 * \param[in]   subblock_mvs    Pointer to the motion vectors for 4 sub-blocks
 * \param[in]   subblock_mses   Pointer to the search errors (MSE) for 4
 *                              sub-blocks
 * \param[in]   q_factor        Quantization factor. This is actually the `q`
 *                              defined in libaom, converted from `qindex`
 * \param[in]   filter_strength Filtering strength. This value lies in range
 *                              [0, 6] where 6 is the maximum strength.
 * \param[out]  pred            Pointer to the well-built predictors
 * \param[out]  accum           Pointer to the pixel-wise accumulator for
 *                              filtering
 * \param[out]  count           Pointer to the pixel-wise counter for
 *                              filtering
 *
 * Nothing returned, But the contents of `accum`, `pred` and 'count'
 * will be modified.
 */
void av1_highbd_apply_temporal_filter_c(
    const YV12_BUFFER_CONFIG *frame_to_filter, const MACROBLOCKD *mbd,
    const BLOCK_SIZE block_size, const int mb_row, const int mb_col,
    const int num_planes, const double *noise_levels, const MV *subblock_mvs,
    const int *subblock_mses, const int q_factor, const int filter_strength,
    const uint16_t *pred, uint32_t *accum, uint16_t *count) {
  // Block information.
  const int mb_height = block_size_high[block_size];
  const int mb_width = block_size_wide[block_size];
  const int mb_pels = mb_height * mb_width;
  // Frame information.
  const int frame_height = frame_to_filter->y_crop_height;
  const int frame_width = frame_to_filter->y_crop_width;
  const int min_frame_size = AOMMIN(frame_height, frame_width);

  // Allocate memory for pixel-wise squared differences for all planes. They,
  // regardless of the subsampling, are assigned with memory of size `mb_pels`.
  uint32_t *square_diff =
      aom_memalign(16, num_planes * mb_pels * sizeof(uint32_t));
  memset(square_diff, 0, num_planes * mb_pels * sizeof(square_diff[0]));

  int plane_offset = 0;
  for (int plane = 0; plane < num_planes; ++plane) {
    // Locate pixel on reference frame.
    const int plane_h = mb_height >> mbd->plane[plane].subsampling_y;
    const int plane_w = mb_width >> mbd->plane[plane].subsampling_x;
    const int frame_stride = frame_to_filter->strides[plane == 0 ? 0 : 1];
    const int frame_offset = mb_row * plane_h * frame_stride + mb_col * plane_w;
    const uint16_t *ref = frame_to_filter->buffers[plane];
    compute_square_diff(ref, frame_offset, frame_stride, pred, plane_offset,
                        plane_w, plane_h, plane_w, square_diff + plane_offset);
    plane_offset += mb_pels;
  }

  // Get window size for pixel-wise filtering.
  assert(TF_WINDOW_LENGTH % 2 == 1);
  const int half_window = TF_WINDOW_LENGTH >> 1;

  // Handle planes in sequence.
  plane_offset = 0;
  for (int plane = 0; plane < num_planes; ++plane) {
    const int subsampling_y = mbd->plane[plane].subsampling_y;
    const int subsampling_x = mbd->plane[plane].subsampling_x;
    const int h = mb_height >> subsampling_y;  // Plane height.
    const int w = mb_width >> subsampling_x;   // Plane width.

    // Perform filtering.
    int pred_idx = 0;
    for (int i = 0; i < h; ++i) {
      for (int j = 0; j < w; ++j) {
        // non-local mean approach
        uint64_t sum_square_diff = 0;
        int num_ref_pixels = 0;

        for (int wi = -half_window; wi <= half_window; ++wi) {
          for (int wj = -half_window; wj <= half_window; ++wj) {
            const int y = CLIP(i + wi, 0, h - 1);  // Y-coord on current plane.
            const int x = CLIP(j + wj, 0, w - 1);  // X-coord on current plane.
            sum_square_diff += square_diff[plane_offset + y * w + x];
            ++num_ref_pixels;
          }
        }

        // Filter U-plane and V-plane using Y-plane. This is because motion
        // search is only done on Y-plane, so the information from Y-plane will
        // be more accurate.
        if (plane != 0) {
          const int ss_y_shift = subsampling_y - mbd->plane[0].subsampling_y;
          const int ss_x_shift = subsampling_x - mbd->plane[0].subsampling_x;
          for (int ii = 0; ii < (1 << ss_y_shift); ++ii) {
            for (int jj = 0; jj < (1 << ss_x_shift); ++jj) {
              const int yy = (i << ss_y_shift) + ii;  // Y-coord on Y-plane.
              const int xx = (j << ss_x_shift) + jj;  // X-coord on Y-plane.
              const int ww = w << ss_x_shift;         // Width of Y-plane.
              sum_square_diff += square_diff[yy * ww + xx];
              ++num_ref_pixels;
            }
          }
        }

        // Scale down the difference for high bit depth input.
        if (mbd->bd > 8) sum_square_diff >>= ((mbd->bd - 8) * 2);

        // Combine window error and block error, and normalize it.
        const double window_error = (double)sum_square_diff / num_ref_pixels;
        const int subblock_idx = (i >= h / 2) * 2 + (j >= w / 2);
        const double block_error = (double)subblock_mses[subblock_idx];
        const double combined_error =
            (TF_WINDOW_BLOCK_BALANCE_WEIGHT * window_error + block_error) /
            (TF_WINDOW_BLOCK_BALANCE_WEIGHT + 1) / TF_SEARCH_ERROR_NORM_WEIGHT;

        // Decay factors for non-local mean approach.
        // Larger noise -> larger filtering weight.
        const double n_decay = 0.5 + log(2 * noise_levels[plane] + 5.0);
        // Smaller q -> smaller filtering weight.
        const double q_decay =
            CLIP(pow((double)q_factor / TF_Q_DECAY_THRESHOLD, 2), 1e-5, 1);
        // Smaller strength -> smaller filtering weight.
        const double s_decay = CLIP(
            pow((double)filter_strength / TF_STRENGTH_THRESHOLD, 2), 1e-5, 1);
        // Larger motion vector -> smaller filtering weight.
        const MV mv = subblock_mvs[subblock_idx];
        const double distance = sqrt(pow(mv.row, 2) + pow(mv.col, 2));
        const double distance_threshold =
            (double)AOMMAX(min_frame_size * TF_SEARCH_DISTANCE_THRESHOLD, 1);
        const double d_factor = AOMMAX(distance / distance_threshold, 1);

        // Compute filter weight.
        const double scaled_error =
            AOMMIN(combined_error * d_factor / n_decay / q_decay / s_decay, 7);
        const int weight = (int)(exp(-scaled_error) * TF_WEIGHT_SCALE);

        const int idx = plane_offset + pred_idx;  // Index with plane shift.
        const int pred_value = pred[idx];
        accum[idx] += weight * pred_value;
        count[idx] += weight;

        ++pred_idx;
      }
    }
    plane_offset += mb_pels;
  }

  aom_free(square_diff);
}

/*!\brief Normalizes the accumulated filtering result to produce the filtered
 *        frame
 *
 * \ingroup src_frame_proc
 * \param[in]   mbd            Pointer to the block for filtering, which is
 *                             ONLY used to get subsampling information for
 *                             all the planes
 * \param[in]   block_size     Size of the block
 * \param[in]   mb_row         Row index of the block in the frame
 * \param[in]   mb_col         Column index of the block in the frame
 * \param[in]   num_planes     Number of planes in the frame
 * \param[in]   accum          Pointer to the pre-computed accumulator
 * \param[in]   count          Pointer to the pre-computed count
 * \param[out]  result_buffer  Pointer to result buffer
 *
 * Nothing returned, but the content to which `result_buffer` pointer
 * will be modified.
 */
static void tf_normalize_filtered_frame(
    const MACROBLOCKD *mbd, const BLOCK_SIZE block_size, const int mb_row,
    const int mb_col, const int num_planes, const uint32_t *accum,
    const uint16_t *count, YV12_BUFFER_CONFIG *result_buffer) {
  // Block information.
  const int mb_height = block_size_high[block_size];
  const int mb_width = block_size_wide[block_size];
  const int mb_pels = mb_height * mb_width;

  int plane_offset = 0;
  for (int plane = 0; plane < num_planes; ++plane) {
    const int plane_h = mb_height >> mbd->plane[plane].subsampling_y;
    const int plane_w = mb_width >> mbd->plane[plane].subsampling_x;
    const int frame_stride = result_buffer->strides[plane == 0 ? 0 : 1];
    const int frame_offset = mb_row * plane_h * frame_stride + mb_col * plane_w;
    uint16_t *const buf = result_buffer->buffers[plane];

    int plane_idx = 0;             // Pixel index on current plane (block-base).
    int frame_idx = frame_offset;  // Pixel index on the entire frame.
    for (int i = 0; i < plane_h; ++i) {
      for (int j = 0; j < plane_w; ++j) {
        const int idx = plane_idx + plane_offset;
        const uint16_t rounding = count[idx] >> 1;
        buf[frame_idx] = (uint16_t)OD_DIVU(accum[idx] + rounding, count[idx]);
        ++plane_idx;
        ++frame_idx;
      }
      frame_idx += (frame_stride - plane_w);
    }
    plane_offset += mb_pels;
  }
}
/*!\cond */

// Helper function to compute number of blocks on either side of the frame.
static INLINE int get_num_blocks(const int frame_length, const int mb_length) {
  return (frame_length + mb_length - 1) / mb_length;
}

// Helper function to get `q` used for encoding.
static INLINE int get_q(const AV1_COMP *cpi) {
  const FRAME_TYPE frame_type =
      (cpi->common.current_frame.frame_number > 1) ? INTER_FRAME : KEY_FRAME;
  const int q = (int)av1_convert_qindex_to_q(
      cpi->rc.avg_frame_qindex[frame_type], cpi->common.seq_params.bit_depth);
  return q;
}

/*!\endcond */
/*!
 * \brief Sum and SSE source vs filtered framee difference returned by
 *  temporal filter.
 */
typedef struct {
  /*!\cond */
  int64_t sum;
  int64_t sse;
  /*!\endcond */
} FRAME_DIFF;

/*!\brief Does temporal filter for a given frame.
 *
 * \ingroup src_frame_proc
 * \param[in]   cpi              Top level encoder instance structure
 * \param[in]   frames           Frame buffers used for temporal filtering
 * \param[in]   num_frames       Number of frames in the frame buffer
 * \param[in]   filter_frame_idx Index of the frame to be filtered
 * \param[in]   is_key_frame     Is the to-filter is a key frame
 * \param[in]   block_size       Block size used for temporal filtering
 * \param[in]   scale            Frame scaling factor
 * \param[in]   noise_levels     Estimated noise levels for each plane
 *                               in the frame (Y,U,V)
 *
 * \return Difference between filtered frame and the original frame
 *         (sum and sse)
 */
static FRAME_DIFF tf_do_filtering(AV1_COMP *cpi, YV12_BUFFER_CONFIG **frames,
                                  const int num_frames,
                                  const int filter_frame_idx,
                                  const int is_key_frame,
                                  const BLOCK_SIZE block_size,
                                  const struct scale_factors *scale,
                                  const double *noise_levels) {
  // Basic information.
  const YV12_BUFFER_CONFIG *const frame_to_filter = frames[filter_frame_idx];
  const int frame_height = frame_to_filter->y_crop_height;
  const int frame_width = frame_to_filter->y_crop_width;
  const int mb_height = block_size_high[block_size];
  const int mb_width = block_size_wide[block_size];
  const int mb_pels = mb_height * mb_width;
  const int mb_rows = get_num_blocks(frame_height, mb_height);
  const int mb_cols = get_num_blocks(frame_width, mb_width);
  const int num_planes = av1_num_planes(&cpi->common);
  const int mi_h = mi_size_high_log2[block_size];
  const int mi_w = mi_size_wide_log2[block_size];
  assert(num_planes >= 1 && num_planes <= MAX_MB_PLANE);

  // Quantization factor used in temporal filtering.
  const int q_factor = get_q(cpi);
  // Factor to control the filering strength.
  const int filter_strength = cpi->oxcf.algo_cfg.arnr_strength;

  // Save input state.
  MACROBLOCK *const mb = &cpi->td.mb;
  MACROBLOCKD *const mbd = &mb->e_mbd;
  uint16_t *input_buffer[MAX_MB_PLANE];
  for (int i = 0; i < num_planes; i++) {
    input_buffer[i] = mbd->plane[i].pre[0].buf;
  }
  MB_MODE_INFO **input_mb_mode_info = mbd->mi;

  // Determine whether the video is with `YUV 4:2:2` format, since the avx2/sse2
  // function only supports square block size. We will use C function instead
  // for videos with `YUV 4:2:2` format.
  int is_yuv422_format = 0;
  for (int plane = 1; plane < num_planes; ++plane) {
    if (mbd->plane[plane].subsampling_x != mbd->plane[plane].subsampling_y) {
      is_yuv422_format = 1;
      break;
    }
  }

  // Setup.
  mbd->block_ref_scale_factors[0] = scale;
  mbd->block_ref_scale_factors[1] = scale;

  // A temporary block info used to store state in temporal filtering process.
  MB_MODE_INFO *tmp_mb_mode_info = (MB_MODE_INFO *)malloc(sizeof(MB_MODE_INFO));
  memset(tmp_mb_mode_info, 0, sizeof(MB_MODE_INFO));
  mbd->mi = &tmp_mb_mode_info;
  mbd->mi[0]->motion_mode = SIMPLE_TRANSLATION;
  // Allocate memory for predictor, accumulator and count.
  uint16_t *pred = aom_memalign(32, num_planes * mb_pels * sizeof(uint16_t));
  uint32_t *accum = aom_memalign(16, num_planes * mb_pels * sizeof(uint32_t));
  uint16_t *count = aom_memalign(16, num_planes * mb_pels * sizeof(uint16_t));
  memset(pred, 0, num_planes * mb_pels * sizeof(pred[0]));

  // Do filtering.
  FRAME_DIFF diff = { 0, 0 };
  // Perform temporal filtering block by block.
  for (int mb_row = 0; mb_row < mb_rows; mb_row++) {
    av1_set_mv_row_limits(&cpi->common.mi_params, &mb->mv_limits,
                          (mb_row << mi_h), (mb_height >> MI_SIZE_LOG2),
                          cpi->oxcf.border_in_pixels);
    for (int mb_col = 0; mb_col < mb_cols; mb_col++) {
      av1_set_mv_col_limits(&cpi->common.mi_params, &mb->mv_limits,
                            (mb_col << mi_w), (mb_width >> MI_SIZE_LOG2),
                            cpi->oxcf.border_in_pixels);
      memset(accum, 0, num_planes * mb_pels * sizeof(accum[0]));
      memset(count, 0, num_planes * mb_pels * sizeof(count[0]));
      MV ref_mv = kZeroMv;  // Reference motion vector passed down along frames.

      // Perform temporal filtering frame by frame.
      for (int frame = 0; frame < num_frames; frame++) {
        if (frames[frame] == NULL) continue;

        // Motion search.
        MV subblock_mvs[4] = { kZeroMv, kZeroMv, kZeroMv, kZeroMv };
        int subblock_mses[4] = { INT_MAX, INT_MAX, INT_MAX, INT_MAX };
        if (frame == filter_frame_idx) {  // Frame to be filtered.
          // Change ref_mv sign for following frames.
          ref_mv.row *= -1;
          ref_mv.col *= -1;
        } else {  // Other reference frames.
          tf_motion_search(cpi, frame_to_filter, frames[frame], block_size,
                           mb_row, mb_col, &ref_mv, subblock_mvs,
                           subblock_mses);
        }

#if CONFIG_2D_SR_MC_PHASE_FIX
        const AV1_COMMON *const cm = &cpi->common;
        tf_build_predictor(frames[frame], mbd, block_size, mb_row, mb_col,
                           num_planes, scale, subblock_mvs, pred, cm);
#else
        tf_build_predictor(frames[frame], mbd, block_size, mb_row, mb_col,
                           num_planes, scale, subblock_mvs, pred);
#endif

        // Perform weighted averaging.
        if (frame == filter_frame_idx) {  // Frame to be filtered.
          tf_apply_temporal_filter_self(mbd, block_size, num_planes, pred,
                                        accum, count);
        } else {  // Other reference frames.
          // TODO(any): avx2/sse2 version should be changed to align with C
          // function before using. In particular, current avx2/sse2 function
          // only supports 32x32 block size, 5x5 filtering window, 8-bit
          // encoding, and the case when the video is not with `YUV 4:2:2`
          // format.
          if (TF_BLOCK_SIZE == BLOCK_32X32 && TF_WINDOW_LENGTH == 5 &&
              !is_yuv422_format) {
            av1_highbd_apply_temporal_filter(
                frame_to_filter, mbd, block_size, mb_row, mb_col, num_planes,
                noise_levels, subblock_mvs, subblock_mses, q_factor,
                filter_strength, pred, accum, count);
          } else {
            av1_highbd_apply_temporal_filter_c(
                frame_to_filter, mbd, block_size, mb_row, mb_col, num_planes,
                noise_levels, subblock_mvs, subblock_mses, q_factor,
                filter_strength, pred, accum, count);
          }
        }
      }
      tf_normalize_filtered_frame(mbd, block_size, mb_row, mb_col, num_planes,
                                  accum, count, &cpi->alt_ref_buffer);

      if (!is_key_frame) {
        const int y_height = mb_height >> mbd->plane[0].subsampling_y;
        const int y_width = mb_width >> mbd->plane[0].subsampling_x;
        const int source_y_stride = frame_to_filter->y_stride;
        const int filter_y_stride = cpi->alt_ref_buffer.y_stride;
        const int source_offset =
            mb_row * y_height * source_y_stride + mb_col * y_width;
        const int filter_offset =
            mb_row * y_height * filter_y_stride + mb_col * y_width;
        unsigned int sse = 0;
        cpi->fn_ptr[block_size].vf(frame_to_filter->y_buffer + source_offset,
                                   source_y_stride,
                                   cpi->alt_ref_buffer.y_buffer + filter_offset,
                                   filter_y_stride, &sse);
        diff.sum += sse;
        diff.sse += sse * sse;
      }
    }
  }

  // Restore input state
  for (int i = 0; i < num_planes; i++) {
    mbd->plane[i].pre[0].buf = input_buffer[i];
  }
  mbd->mi = input_mb_mode_info;

  free(tmp_mb_mode_info);
  aom_free(pred);
  aom_free(accum);
  aom_free(count);

  return diff;
}

/*!\brief Setups the frame buffer for temporal filtering. This fuction
 * determines how many frames will be used for temporal filtering and then
 * groups them into a buffer. This function will also estimate the noise level
 * of the to-filter frame.
 *
 * \ingroup src_frame_proc
 * \param[in]   cpi             Top level encoder instance structure
 * \param[in]   filter_frame_lookahead_idx  The index of the to-filter frame
 *                              in the lookahead buffer cpi->lookahead
 * \param[in]   is_second_arf   Whether the to-filter frame is the second ARF.
 *                              This field will affect the number of frames
 *                              used for filtering.
 * \param[in,out] frames        Pointer to the frame buffer to setup
 * \param[in,out] num_frames_for_filtering  Number of frames used for filtering
 * \param[in,out] filter_frame_idx Index of the to-filter frame in the setup
 *                              frame buffer.
 * \param[out]    noise_levels  Pointer to the noise levels of the to-filter
 *                              frame, estimated with each plane (in Y, U, V
 *                              order).
 *
 * Nothing will be returned. But the frame buffer `frames`, number of
 * frames in the buffer `num_frames_for_filtering`, and the index of
 * the to-filter frame in the buffer `filter_frame_idx` will be updated
 * in this function. Estimated noise levels for YUV planes will be
 * saved in `noise_levels`.
 */
static void tf_setup_filtering_buffer(const AV1_COMP *cpi,
                                      const int filter_frame_lookahead_idx,
                                      const int is_second_arf,
                                      YV12_BUFFER_CONFIG **frames,
                                      int *num_frames_for_filtering,
                                      int *filter_frame_idx,
                                      double *noise_levels) {
  // Number of frames used for filtering. Set `arnr_max_frames` as 1 to disable
  // temporal filtering.
  int num_frames = AOMMAX(cpi->oxcf.algo_cfg.arnr_max_frames, 1);
  int num_before = 0;  // Number of filtering frames before the to-filter frame.
  int num_after = 0;   // Number of filtering frames after the to-filer frame.
  const int lookahead_depth =
      av1_lookahead_depth(cpi->lookahead, cpi->compressor_stage);

  // Temporal filtering should not go beyond key frames
  const int key_to_curframe =
      AOMMAX(cpi->rc.frames_since_key +
                 cpi->gf_group.arf_src_offset[cpi->gf_group.index],
             0);
  const int curframe_to_key =
      AOMMAX(cpi->rc.frames_to_key -
                 cpi->gf_group.arf_src_offset[cpi->gf_group.index] - 1,
             0);

  // Number of buffered frames before the to-filter frame.
  const int max_before =
      AOMMIN(filter_frame_lookahead_idx < -1 ? -filter_frame_lookahead_idx + 1
                                             : filter_frame_lookahead_idx + 1,
             key_to_curframe);
  // Number of buffered frames after the to-filter frame.
  const int max_after = AOMMIN(lookahead_depth - max_before, curframe_to_key);
  const int lookahead_depth_to_kf = max_before + max_after;

  const int filter_frame_offset = filter_frame_lookahead_idx < -1
                                      ? -filter_frame_lookahead_idx
                                      : filter_frame_lookahead_idx;

  // Estimate noises for each plane.
  const struct lookahead_entry *to_filter_buf = av1_lookahead_peek(
      cpi->lookahead, filter_frame_offset, cpi->compressor_stage);
  assert(to_filter_buf != NULL);
  const YV12_BUFFER_CONFIG *to_filter_frame = &to_filter_buf->img;
  const int num_planes = av1_num_planes(&cpi->common);
  for (int plane = 0; plane < num_planes; ++plane) {
    noise_levels[plane] = av1_estimate_noise_from_single_plane(
        to_filter_frame, plane, cpi->common.seq_params.bit_depth);
  }
  // Get quantization factor.
  const int q = get_q(cpi);

  // Adjust number of filtering frames based on noise and quantization factor.
  // Basically, we would like to use more frames to filter low-noise frame such
  // that the filtered frame can provide better predictions for more frames.
  // Also, when the quantization factor is small enough (lossless compression),
  // we will not change the number of frames for key frame filtering, which is
  // to avoid visual quality drop.
  int adjust_num = 0;
  if (num_frames == 1) {  // `arnr_max_frames = 1` is used to disable filtering.
    adjust_num = 0;
  } else if (filter_frame_lookahead_idx < 0 && q <= 10) {
    adjust_num = 0;
  } else if (noise_levels[0] < 0.5) {
    adjust_num = 6;
  } else if (noise_levels[0] < 1.0) {
    adjust_num = 4;
  } else if (noise_levels[0] < 2.0) {
    adjust_num = 2;
  }
  num_frames = AOMMIN(num_frames + adjust_num, lookahead_depth_to_kf + 1);

  if (filter_frame_lookahead_idx == -1 ||
      filter_frame_lookahead_idx == 0) {  // Key frame.
    num_before = 0;
    num_after = AOMMIN(num_frames - 1, max_after);
  } else if (filter_frame_lookahead_idx < -1) {  // Key frame in one-pass mode.
    num_before = AOMMIN(num_frames - 1, max_before);
    num_after = 0;
  } else {
    num_frames = AOMMIN(num_frames, cpi->rc.gfu_boost / 150);
    num_frames += !(num_frames & 1);  // Make the number odd.
    // Only use 2 neighbours for the second ARF.
    if (is_second_arf) num_frames = AOMMIN(num_frames, 3);
    num_before = AOMMIN(num_frames >> 1, max_before);
    num_after = AOMMIN(num_frames >> 1, max_after);
  }
  num_frames = num_before + 1 + num_after;

  // Setup the frame buffer.
  for (int frame = 0; frame < num_frames; ++frame) {
    const int lookahead_idx = frame - num_before + filter_frame_offset;
    struct lookahead_entry *buf = av1_lookahead_peek(
        cpi->lookahead, lookahead_idx, cpi->compressor_stage);
    assert(buf != NULL);
    frames[frame] = &buf->img;
  }
  *num_frames_for_filtering = num_frames;
  *filter_frame_idx = num_before;
  assert(frames[*filter_frame_idx] == to_filter_frame);
}

/*!\cond */

// A constant number, sqrt(pi / 2),  used for noise estimation.
static const double SQRT_PI_BY_2 = 1.25331413732;

double av1_estimate_noise_from_single_plane(const YV12_BUFFER_CONFIG *frame,
                                            const int plane,
                                            const int bit_depth) {
  const int is_y_plane = (plane == 0);
  const int height = frame->crop_heights[is_y_plane ? 0 : 1];
  const int width = frame->crop_widths[is_y_plane ? 0 : 1];
  const int stride = frame->strides[is_y_plane ? 0 : 1];
  const uint16_t *src16 = frame->buffers[plane];

  int64_t accum = 0;
  int count = 0;
  for (int i = 1; i < height - 1; ++i) {
    for (int j = 1; j < width - 1; ++j) {
      // Setup a small 3x3 matrix.
      const int center_idx = i * stride + j;
      int mat[3][3];
      for (int ii = -1; ii <= 1; ++ii) {
        for (int jj = -1; jj <= 1; ++jj) {
          const int idx = center_idx + ii * stride + jj;
          mat[ii + 1][jj + 1] = src16[idx];
        }
      }
      // Compute sobel gradients.
      const int Gx = (mat[0][0] - mat[0][2]) + (mat[2][0] - mat[2][2]) +
                     2 * (mat[1][0] - mat[1][2]);
      const int Gy = (mat[0][0] - mat[2][0]) + (mat[0][2] - mat[2][2]) +
                     2 * (mat[0][1] - mat[2][1]);
      const int Ga = ROUND_POWER_OF_TWO(abs(Gx) + abs(Gy), bit_depth - 8);
      // Accumulate Laplacian.
      if (Ga < NOISE_ESTIMATION_EDGE_THRESHOLD) {  // Only count smooth pixels.
        const int v = 4 * mat[1][1] -
                      2 * (mat[0][1] + mat[2][1] + mat[1][0] + mat[1][2]) +
                      (mat[0][0] + mat[0][2] + mat[2][0] + mat[2][2]);
        accum += ROUND_POWER_OF_TWO(abs(v), bit_depth - 8);
        ++count;
      }
    }
  }

  // Return -1.0 (unreliable estimation) if there are too few smooth pixels.
  return (count < 16) ? -1.0 : (double)accum / (6 * count) * SQRT_PI_BY_2;
}

int av1_temporal_filter(AV1_COMP *cpi, const int filter_frame_lookahead_idx,
                        int *show_existing_arf) {
  // Basic informaton of the current frame.
  const GF_GROUP *const gf_group = &cpi->gf_group;
  const uint8_t group_idx = gf_group->index;
  const FRAME_UPDATE_TYPE update_type = gf_group->update_type[group_idx];

  // Filter one more ARF if the lookahead index is leq 7 (w.r.t. 9-th frame).
  // This frame is ALWAYS a show existing frame.
  const int is_second_arf =
      (update_type == INTNL_ARF_UPDATE) &&
      (filter_frame_lookahead_idx >= (cpi->gf_group.is_user_specified ? 5 : 7));
  // TODO(anyone): Currently, we enforce the filtering strength on internal
  // ARFs except the second ARF to be zero. We should investigate in which case
  // it is more beneficial to use non-zero strength filtering.
  if (update_type == INTNL_ARF_UPDATE && !is_second_arf) {
    return 0;
  }

  // Setup frame buffer for filtering.
  YV12_BUFFER_CONFIG *frames[MAX_LAG_BUFFERS] = { NULL };
  int num_frames_for_filtering = 0;
  int filter_frame_idx = -1;
  double noise_levels[MAX_MB_PLANE] = { 0 };

  tf_setup_filtering_buffer(cpi, filter_frame_lookahead_idx, is_second_arf,
                            frames, &num_frames_for_filtering,
                            &filter_frame_idx, noise_levels);
  assert(num_frames_for_filtering > 0);
  assert(filter_frame_idx < num_frames_for_filtering);

  // Set showable frame.
  if (filter_frame_lookahead_idx >= 0) {
#if CONFIG_OUTPUT_FRAME_BASED_ON_ORDER_HINT
    // When enable_frame_output_order == 1, it is intended to set showable_frame
    // to one only for the coded frames to be outputted. When enable_overlay ==
    // 1, showable_frame of the filtered frame is set to zero by default.
    cpi->common.showable_frame =
        (!cpi->oxcf.ref_frm_cfg.enable_frame_output_order &&
         (num_frames_for_filtering == 1 || is_second_arf)) ||
        cpi->oxcf.ref_frm_cfg.enable_frame_output_order ||
#else   // CONFIG_OUTPUT_FRAME_BASED_ON_ORDER_HINT
    cpi->common.showable_frame = num_frames_for_filtering == 1 ||
                                 is_second_arf ||
#endif  // CONFIG_OUTPUT_FRAME_BASED_ON_ORDER_HINT
        (cpi->oxcf.algo_cfg.enable_overlay == 0);
  }

  // Do filtering.
  const int is_key_frame = (filter_frame_lookahead_idx <= 0);
  // Setup scaling factors. Scaling on each of the arnr frames is not
  // supported.
  // ARF is produced at the native frame size and resized when coded.
  struct scale_factors sf;
  av1_setup_scale_factors_for_frame(
      &sf, frames[0]->y_crop_width, frames[0]->y_crop_height,
      frames[0]->y_crop_width, frames[0]->y_crop_height);
  const FRAME_DIFF diff =
      tf_do_filtering(cpi, frames, num_frames_for_filtering, filter_frame_idx,
                      is_key_frame, TF_BLOCK_SIZE, &sf, noise_levels);

  if (is_key_frame) {  // Key frame should always be filtered.
    return 1;
  }

  if (show_existing_arf != NULL || is_second_arf) {
    const int frame_height = frames[filter_frame_idx]->y_crop_height;
    const int frame_width = frames[filter_frame_idx]->y_crop_width;
    const int block_height = block_size_high[TF_BLOCK_SIZE];
    const int block_width = block_size_wide[TF_BLOCK_SIZE];
    const int mb_rows = get_num_blocks(frame_height, block_height);
    const int mb_cols = get_num_blocks(frame_width, block_width);
    const int num_mbs = AOMMAX(1, mb_rows * mb_cols);
    const float mean = (float)diff.sum / num_mbs;
    const float std = (float)sqrt((float)diff.sse / num_mbs - mean * mean);

    aom_clear_system_state();
    // TODO(yunqing): This can be combined with TPL q calculation later.
    cpi->rc.base_frame_target = gf_group->bit_allocation[group_idx];
    av1_set_target_rate(cpi, cpi->common.width, cpi->common.height);
    int top_index = 0;
    int bottom_index = 0;
    const int q = av1_rc_pick_q_and_bounds(
        cpi, &cpi->rc, cpi->oxcf.frm_dim_cfg.width,
        cpi->oxcf.frm_dim_cfg.height, group_idx, &bottom_index, &top_index);

    const int ac_q = ROUND_POWER_OF_TWO(
        av1_ac_quant_QTX(q, 0, cpi->common.seq_params.bit_depth),
        QUANT_TABLE_BITS);

    const float threshold = 0.7f * ac_q * ac_q;

    if (!is_second_arf) {
      *show_existing_arf = 0;
      if (mean < threshold && std < mean * 1.2) {
        *show_existing_arf = 1;
      }
      cpi->common.showable_frame |= *show_existing_arf;
    } else {
      // Use source frame if the filtered frame becomes very different.
      if (!(mean < threshold && std < mean * 1.2)) {
        return 0;
      }
    }
  }
  return 1;
}
/*!\endcond */