xref: /external/libaom/libaom/av1/encoder/x86/pickrst_sse4.c

/*
 * Copyright (c) 2018, Alliance for Open Media. All rights reserved
 *
 * This source code is subject to the terms of the BSD 2 Clause License and
 * the Alliance for Open Media Patent License 1.0. If the BSD 2 Clause License
 * was not distributed with this source code in the LICENSE file, you can
 * obtain it at www.aomedia.org/license/software. If the Alliance for Open
 * Media Patent License 1.0 was not distributed with this source code in the
 * PATENTS file, you can obtain it at www.aomedia.org/license/patent.
 */

#include <assert.h>
#include <emmintrin.h>
#include "aom_dsp/x86/synonyms.h"

#include "config/av1_rtcd.h"
#include "av1/common/restoration.h"
#include "av1/encoder/pickrst.h"

static INLINE void acc_stat_sse41(int32_t *dst, const uint8_t *src,
                                  const __m128i *shuffle, const __m128i *kl) {
  const __m128i s = _mm_shuffle_epi8(xx_loadu_128(src), *shuffle);
  const __m128i d0 = _mm_madd_epi16(*kl, _mm_cvtepu8_epi16(s));
  const __m128i d1 =
      _mm_madd_epi16(*kl, _mm_cvtepu8_epi16(_mm_srli_si128(s, 8)));
  const __m128i dst0 = xx_loadu_128(dst);
  const __m128i dst1 = xx_loadu_128(dst + 4);
  const __m128i r0 = _mm_add_epi32(dst0, d0);
  const __m128i r1 = _mm_add_epi32(dst1, d1);
  xx_storeu_128(dst, r0);
  xx_storeu_128(dst + 4, r1);
}

static INLINE void acc_stat_win7_one_line_sse4_1(
    const uint8_t *dgd, const uint8_t *src, int h_start, int h_end,
    int dgd_stride, const __m128i *shuffle, int32_t *sumX,
    int32_t sumY[WIENER_WIN][WIENER_WIN], int32_t M_int[WIENER_WIN][WIENER_WIN],
    int32_t H_int[WIENER_WIN2][WIENER_WIN * 8]) {
  const int wiener_win = 7;
  int j, k, l;
  for (j = h_start; j < h_end; j += 2) {
    const uint8_t *dgd_ij = dgd + j;
    const uint8_t X1 = src[j];
    const uint8_t X2 = src[j + 1];
    *sumX += X1 + X2;
    for (k = 0; k < wiener_win; k++) {
      const uint8_t *dgd_ijk = dgd_ij + k * dgd_stride;
      for (l = 0; l < wiener_win; l++) {
        int32_t *H_ = &H_int[(l * wiener_win + k)][0];
        const uint8_t D1 = dgd_ijk[l];
        const uint8_t D2 = dgd_ijk[l + 1];
        sumY[k][l] += D1 + D2;
        M_int[k][l] += D1 * X1 + D2 * X2;

        const __m128i kl =
            _mm_cvtepu8_epi16(_mm_set1_epi16(*((uint16_t *)(dgd_ijk + l))));
        acc_stat_sse41(H_ + 0 * 8, dgd_ij + 0 * dgd_stride, shuffle, &kl);
        acc_stat_sse41(H_ + 1 * 8, dgd_ij + 1 * dgd_stride, shuffle, &kl);
        acc_stat_sse41(H_ + 2 * 8, dgd_ij + 2 * dgd_stride, shuffle, &kl);
        acc_stat_sse41(H_ + 3 * 8, dgd_ij + 3 * dgd_stride, shuffle, &kl);
        acc_stat_sse41(H_ + 4 * 8, dgd_ij + 4 * dgd_stride, shuffle, &kl);
        acc_stat_sse41(H_ + 5 * 8, dgd_ij + 5 * dgd_stride, shuffle, &kl);
        acc_stat_sse41(H_ + 6 * 8, dgd_ij + 6 * dgd_stride, shuffle, &kl);
      }
    }
  }
}

static INLINE void compute_stats_win7_opt_sse4_1(
    const uint8_t *dgd, const uint8_t *src, int h_start, int h_end, int v_start,
    int v_end, int dgd_stride, int src_stride, int64_t *M, int64_t *H) {
  int i, j, k, l, m, n;
  const int wiener_win = WIENER_WIN;
  const int pixel_count = (h_end - h_start) * (v_end - v_start);
  const int wiener_win2 = wiener_win * wiener_win;
  const int wiener_halfwin = (wiener_win >> 1);
  const uint8_t avg =
      find_average(dgd, h_start, h_end, v_start, v_end, dgd_stride);

  int32_t M_int32[WIENER_WIN][WIENER_WIN] = { { 0 } };
  int64_t M_int64[WIENER_WIN][WIENER_WIN] = { { 0 } };
  int32_t H_int32[WIENER_WIN2][WIENER_WIN * 8] = { { 0 } };
  int64_t H_int64[WIENER_WIN2][WIENER_WIN * 8] = { { 0 } };
  int32_t sumY[WIENER_WIN][WIENER_WIN] = { { 0 } };
  int32_t sumX = 0;
  const uint8_t *dgd_win = dgd - wiener_halfwin * dgd_stride - wiener_halfwin;

  const __m128i shuffle = xx_loadu_128(g_shuffle_stats_data);
  for (j = v_start; j < v_end; j += 64) {
    const int vert_end = AOMMIN(64, v_end - j) + j;
    for (i = j; i < vert_end; i++) {
      acc_stat_win7_one_line_sse4_1(
          dgd_win + i * dgd_stride, src + i * src_stride, h_start, h_end,
          dgd_stride, &shuffle, &sumX, sumY, M_int32, H_int32);
    }
    for (k = 0; k < wiener_win; ++k) {
      for (l = 0; l < wiener_win; ++l) {
        M_int64[k][l] += M_int32[k][l];
        M_int32[k][l] = 0;
      }
    }
    for (k = 0; k < WIENER_WIN2; ++k) {
      for (l = 0; l < WIENER_WIN * 8; ++l) {
        H_int64[k][l] += H_int32[k][l];
        H_int32[k][l] = 0;
      }
    }
  }

  const int64_t avg_square_sum = (int64_t)avg * (int64_t)avg * pixel_count;
  for (k = 0; k < wiener_win; k++) {
    for (l = 0; l < wiener_win; l++) {
      const int32_t idx0 = l * wiener_win + k;
      M[idx0] =
          M_int64[k][l] + (avg_square_sum - (int64_t)avg * (sumX + sumY[k][l]));
      int64_t *H_ = H + idx0 * wiener_win2;
      int64_t *H_int_ = &H_int64[idx0][0];
      for (m = 0; m < wiener_win; m++) {
        for (n = 0; n < wiener_win; n++) {
          H_[m * wiener_win + n] = H_int_[n * 8 + m] + avg_square_sum -
                                   (int64_t)avg * (sumY[k][l] + sumY[n][m]);
        }
      }
    }
  }
}

#if CONFIG_AV1_HIGHBITDEPTH
static INLINE void acc_stat_highbd_sse41(int64_t *dst, const uint16_t *dgd,
                                         const __m128i *shuffle,
                                         const __m128i *dgd_ijkl) {
  // Load 256 bits from dgd in two chunks
  const __m128i s0l = xx_loadu_128(dgd);
  const __m128i s0h = xx_loadu_128(dgd + 4);
  // s0l = [7 6 5 4 3 2 1 0] as u16 values (dgd indices)
  // s0h = [11 10 9 8 7 6 5 4] as u16 values (dgd indices)
  // (Slightly strange order so we can apply the same shuffle to both halves)

  // Shuffle the u16 values in each half (actually using 8-bit shuffle mask)
  const __m128i s1l = _mm_shuffle_epi8(s0l, *shuffle);
  const __m128i s1h = _mm_shuffle_epi8(s0h, *shuffle);
  // s1l = [4 3 3 2 2 1 1 0] as u16 values (dgd indices)
  // s1h = [8 7 7 6 6 5 5 4] as u16 values (dgd indices)

  // Multiply s1 by dgd_ijkl resulting in 8x u32 values
  // Horizontally add pairs of u32 resulting in 4x u32
  const __m128i dl = _mm_madd_epi16(*dgd_ijkl, s1l);
  const __m128i dh = _mm_madd_epi16(*dgd_ijkl, s1h);
  // dl = [d c b a] as u32 values
  // dh = [h g f e] as u32 values

  // Add these 8x u32 results on to dst in four parts
  const __m128i dll = _mm_cvtepu32_epi64(dl);
  const __m128i dlh = _mm_cvtepu32_epi64(_mm_srli_si128(dl, 8));
  const __m128i dhl = _mm_cvtepu32_epi64(dh);
  const __m128i dhh = _mm_cvtepu32_epi64(_mm_srli_si128(dh, 8));
  // dll = [b a] as u64 values, etc.

  const __m128i rll = _mm_add_epi64(xx_loadu_128(dst), dll);
  xx_storeu_128(dst, rll);
  const __m128i rlh = _mm_add_epi64(xx_loadu_128(dst + 2), dlh);
  xx_storeu_128(dst + 2, rlh);
  const __m128i rhl = _mm_add_epi64(xx_loadu_128(dst + 4), dhl);
  xx_storeu_128(dst + 4, rhl);
  const __m128i rhh = _mm_add_epi64(xx_loadu_128(dst + 6), dhh);
  xx_storeu_128(dst + 6, rhh);
}

static INLINE void acc_stat_highbd_win7_one_line_sse4_1(
    const uint16_t *dgd, const uint16_t *src, int h_start, int h_end,
    int dgd_stride, const __m128i *shuffle, int32_t *sumX,
    int32_t sumY[WIENER_WIN][WIENER_WIN], int64_t M_int[WIENER_WIN][WIENER_WIN],
    int64_t H_int[WIENER_WIN2][WIENER_WIN * 8]) {
  int j, k, l;
  const int wiener_win = WIENER_WIN;
  for (j = h_start; j < h_end; j += 2) {
    const uint16_t X1 = src[j];
    const uint16_t X2 = src[j + 1];
    *sumX += X1 + X2;
    const uint16_t *dgd_ij = dgd + j;
    for (k = 0; k < wiener_win; k++) {
      const uint16_t *dgd_ijk = dgd_ij + k * dgd_stride;
      for (l = 0; l < wiener_win; l++) {
        int64_t *H_ = &H_int[(l * wiener_win + k)][0];
        const uint16_t D1 = dgd_ijk[l];
        const uint16_t D2 = dgd_ijk[l + 1];
        sumY[k][l] += D1 + D2;
        M_int[k][l] += D1 * X1 + D2 * X2;

        // Load two u16 values from dgd as a single u32
        // Then broadcast to 4x u32 slots of a 128
        const __m128i dgd_ijkl = _mm_set1_epi32(*((uint32_t *)(dgd_ijk + l)));
        // dgd_ijkl = [y x y x y x y x] as u16

        acc_stat_highbd_sse41(H_ + 0 * 8, dgd_ij + 0 * dgd_stride, shuffle,
                              &dgd_ijkl);
        acc_stat_highbd_sse41(H_ + 1 * 8, dgd_ij + 1 * dgd_stride, shuffle,
                              &dgd_ijkl);
        acc_stat_highbd_sse41(H_ + 2 * 8, dgd_ij + 2 * dgd_stride, shuffle,
                              &dgd_ijkl);
        acc_stat_highbd_sse41(H_ + 3 * 8, dgd_ij + 3 * dgd_stride, shuffle,
                              &dgd_ijkl);
        acc_stat_highbd_sse41(H_ + 4 * 8, dgd_ij + 4 * dgd_stride, shuffle,
                              &dgd_ijkl);
        acc_stat_highbd_sse41(H_ + 5 * 8, dgd_ij + 5 * dgd_stride, shuffle,
                              &dgd_ijkl);
        acc_stat_highbd_sse41(H_ + 6 * 8, dgd_ij + 6 * dgd_stride, shuffle,
                              &dgd_ijkl);
      }
    }
  }
}

static INLINE void compute_stats_highbd_win7_opt_sse4_1(
    const uint8_t *dgd8, const uint8_t *src8, int h_start, int h_end,
    int v_start, int v_end, int dgd_stride, int src_stride, int64_t *M,
    int64_t *H, aom_bit_depth_t bit_depth) {
  int i, j, k, l, m, n;
  const int wiener_win = WIENER_WIN;
  const int pixel_count = (h_end - h_start) * (v_end - v_start);
  const int wiener_win2 = wiener_win * wiener_win;
  const int wiener_halfwin = (wiener_win >> 1);
  const uint16_t *src = CONVERT_TO_SHORTPTR(src8);
  const uint16_t *dgd = CONVERT_TO_SHORTPTR(dgd8);
  const uint16_t avg =
      find_average_highbd(dgd, h_start, h_end, v_start, v_end, dgd_stride);

  int64_t M_int[WIENER_WIN][WIENER_WIN] = { { 0 } };
  int64_t H_int[WIENER_WIN2][WIENER_WIN * 8] = { { 0 } };
  int32_t sumY[WIENER_WIN][WIENER_WIN] = { { 0 } };
  int32_t sumX = 0;
  const uint16_t *dgd_win = dgd - wiener_halfwin * dgd_stride - wiener_halfwin;

  // Load just half of the 256-bit shuffle control used for the AVX2 version
  const __m128i shuffle = xx_loadu_128(g_shuffle_stats_highbd_data);
  for (j = v_start; j < v_end; j += 64) {
    const int vert_end = AOMMIN(64, v_end - j) + j;
    for (i = j; i < vert_end; i++) {
      acc_stat_highbd_win7_one_line_sse4_1(
          dgd_win + i * dgd_stride, src + i * src_stride, h_start, h_end,
          dgd_stride, &shuffle, &sumX, sumY, M_int, H_int);
    }
  }

  uint8_t bit_depth_divider = 1;
  if (bit_depth == AOM_BITS_12)
    bit_depth_divider = 16;
  else if (bit_depth == AOM_BITS_10)
    bit_depth_divider = 4;

  const int64_t avg_square_sum = (int64_t)avg * (int64_t)avg * pixel_count;
  for (k = 0; k < wiener_win; k++) {
    for (l = 0; l < wiener_win; l++) {
      const int32_t idx0 = l * wiener_win + k;
      M[idx0] = (M_int[k][l] +
                 (avg_square_sum - (int64_t)avg * (sumX + sumY[k][l]))) /
                bit_depth_divider;
      int64_t *H_ = H + idx0 * wiener_win2;
      int64_t *H_int_ = &H_int[idx0][0];
      for (m = 0; m < wiener_win; m++) {
        for (n = 0; n < wiener_win; n++) {
          H_[m * wiener_win + n] =
              (H_int_[n * 8 + m] +
               (avg_square_sum - (int64_t)avg * (sumY[k][l] + sumY[n][m]))) /
              bit_depth_divider;
        }
      }
    }
  }
}

static INLINE void acc_stat_highbd_win5_one_line_sse4_1(
    const uint16_t *dgd, const uint16_t *src, int h_start, int h_end,
    int dgd_stride, const __m128i *shuffle, int32_t *sumX,
    int32_t sumY[WIENER_WIN_CHROMA][WIENER_WIN_CHROMA],
    int64_t M_int[WIENER_WIN_CHROMA][WIENER_WIN_CHROMA],
    int64_t H_int[WIENER_WIN2_CHROMA][WIENER_WIN_CHROMA * 8]) {
  int j, k, l;
  const int wiener_win = WIENER_WIN_CHROMA;
  for (j = h_start; j < h_end; j += 2) {
    const uint16_t X1 = src[j];
    const uint16_t X2 = src[j + 1];
    *sumX += X1 + X2;
    const uint16_t *dgd_ij = dgd + j;
    for (k = 0; k < wiener_win; k++) {
      const uint16_t *dgd_ijk = dgd_ij + k * dgd_stride;
      for (l = 0; l < wiener_win; l++) {
        int64_t *H_ = &H_int[(l * wiener_win + k)][0];
        const uint16_t D1 = dgd_ijk[l];
        const uint16_t D2 = dgd_ijk[l + 1];
        sumY[k][l] += D1 + D2;
        M_int[k][l] += D1 * X1 + D2 * X2;

        // Load two u16 values from dgd as a single u32
        // then broadcast to 4x u32 slots of a 128
        const __m128i dgd_ijkl = _mm_set1_epi32(*((uint32_t *)(dgd_ijk + l)));
        // dgd_ijkl = [y x y x y x y x] as u16

        acc_stat_highbd_sse41(H_ + 0 * 8, dgd_ij + 0 * dgd_stride, shuffle,
                              &dgd_ijkl);
        acc_stat_highbd_sse41(H_ + 1 * 8, dgd_ij + 1 * dgd_stride, shuffle,
                              &dgd_ijkl);
        acc_stat_highbd_sse41(H_ + 2 * 8, dgd_ij + 2 * dgd_stride, shuffle,
                              &dgd_ijkl);
        acc_stat_highbd_sse41(H_ + 3 * 8, dgd_ij + 3 * dgd_stride, shuffle,
                              &dgd_ijkl);
        acc_stat_highbd_sse41(H_ + 4 * 8, dgd_ij + 4 * dgd_stride, shuffle,
                              &dgd_ijkl);
      }
    }
  }
}

static INLINE void compute_stats_highbd_win5_opt_sse4_1(
    const uint8_t *dgd8, const uint8_t *src8, int h_start, int h_end,
    int v_start, int v_end, int dgd_stride, int src_stride, int64_t *M,
    int64_t *H, aom_bit_depth_t bit_depth) {
  int i, j, k, l, m, n;
  const int wiener_win = WIENER_WIN_CHROMA;
  const int pixel_count = (h_end - h_start) * (v_end - v_start);
  const int wiener_win2 = wiener_win * wiener_win;
  const int wiener_halfwin = (wiener_win >> 1);
  const uint16_t *src = CONVERT_TO_SHORTPTR(src8);
  const uint16_t *dgd = CONVERT_TO_SHORTPTR(dgd8);
  const uint16_t avg =
      find_average_highbd(dgd, h_start, h_end, v_start, v_end, dgd_stride);

  int64_t M_int[WIENER_WIN_CHROMA][WIENER_WIN_CHROMA] = { { 0 } };
  int64_t H_int[WIENER_WIN2_CHROMA][WIENER_WIN_CHROMA * 8] = { { 0 } };
  int32_t sumY[WIENER_WIN_CHROMA][WIENER_WIN_CHROMA] = { { 0 } };
  int32_t sumX = 0;
  const uint16_t *dgd_win = dgd - wiener_halfwin * dgd_stride - wiener_halfwin;

  // Load just half of the 256-bit shuffle control used for the AVX2 version
  const __m128i shuffle = xx_loadu_128(g_shuffle_stats_highbd_data);
  for (j = v_start; j < v_end; j += 64) {
    const int vert_end = AOMMIN(64, v_end - j) + j;
    for (i = j; i < vert_end; i++) {
      acc_stat_highbd_win5_one_line_sse4_1(
          dgd_win + i * dgd_stride, src + i * src_stride, h_start, h_end,
          dgd_stride, &shuffle, &sumX, sumY, M_int, H_int);
    }
  }

  uint8_t bit_depth_divider = 1;
  if (bit_depth == AOM_BITS_12)
    bit_depth_divider = 16;
  else if (bit_depth == AOM_BITS_10)
    bit_depth_divider = 4;

  const int64_t avg_square_sum = (int64_t)avg * (int64_t)avg * pixel_count;
  for (k = 0; k < wiener_win; k++) {
    for (l = 0; l < wiener_win; l++) {
      const int32_t idx0 = l * wiener_win + k;
      M[idx0] = (M_int[k][l] +
                 (avg_square_sum - (int64_t)avg * (sumX + sumY[k][l]))) /
                bit_depth_divider;
      int64_t *H_ = H + idx0 * wiener_win2;
      int64_t *H_int_ = &H_int[idx0][0];
      for (m = 0; m < wiener_win; m++) {
        for (n = 0; n < wiener_win; n++) {
          H_[m * wiener_win + n] =
              (H_int_[n * 8 + m] +
               (avg_square_sum - (int64_t)avg * (sumY[k][l] + sumY[n][m]))) /
              bit_depth_divider;
        }
      }
    }
  }
}

void av1_compute_stats_highbd_sse4_1(int wiener_win, const uint8_t *dgd8,
                                     const uint8_t *src8, int h_start,
                                     int h_end, int v_start, int v_end,
                                     int dgd_stride, int src_stride, int64_t *M,
                                     int64_t *H, aom_bit_depth_t bit_depth) {
  if (wiener_win == WIENER_WIN) {
    compute_stats_highbd_win7_opt_sse4_1(dgd8, src8, h_start, h_end, v_start,
                                         v_end, dgd_stride, src_stride, M, H,
                                         bit_depth);
  } else if (wiener_win == WIENER_WIN_CHROMA) {
    compute_stats_highbd_win5_opt_sse4_1(dgd8, src8, h_start, h_end, v_start,
                                         v_end, dgd_stride, src_stride, M, H,
                                         bit_depth);
  } else {
    av1_compute_stats_highbd_c(wiener_win, dgd8, src8, h_start, h_end, v_start,
                               v_end, dgd_stride, src_stride, M, H, bit_depth);
  }
}
#endif  // CONFIG_AV1_HIGHBITDEPTH

static INLINE void acc_stat_win5_one_line_sse4_1(
    const uint8_t *dgd, const uint8_t *src, int h_start, int h_end,
    int dgd_stride, const __m128i *shuffle, int32_t *sumX,
    int32_t sumY[WIENER_WIN_CHROMA][WIENER_WIN_CHROMA],
    int32_t M_int[WIENER_WIN_CHROMA][WIENER_WIN_CHROMA],
    int32_t H_int[WIENER_WIN2_CHROMA][WIENER_WIN_CHROMA * 8]) {
  const int wiener_win = WIENER_WIN_CHROMA;
  int j, k, l;
  for (j = h_start; j < h_end; j += 2) {
    const uint8_t *dgd_ij = dgd + j;
    const uint8_t X1 = src[j];
    const uint8_t X2 = src[j + 1];
    *sumX += X1 + X2;
    for (k = 0; k < wiener_win; k++) {
      const uint8_t *dgd_ijk = dgd_ij + k * dgd_stride;
      for (l = 0; l < wiener_win; l++) {
        int32_t *H_ = &H_int[(l * wiener_win + k)][0];
        const uint8_t D1 = dgd_ijk[l];
        const uint8_t D2 = dgd_ijk[l + 1];
        sumY[k][l] += D1 + D2;
        M_int[k][l] += D1 * X1 + D2 * X2;

        const __m128i kl =
            _mm_cvtepu8_epi16(_mm_set1_epi16(*((uint16_t *)(dgd_ijk + l))));
        acc_stat_sse41(H_ + 0 * 8, dgd_ij + 0 * dgd_stride, shuffle, &kl);
        acc_stat_sse41(H_ + 1 * 8, dgd_ij + 1 * dgd_stride, shuffle, &kl);
        acc_stat_sse41(H_ + 2 * 8, dgd_ij + 2 * dgd_stride, shuffle, &kl);
        acc_stat_sse41(H_ + 3 * 8, dgd_ij + 3 * dgd_stride, shuffle, &kl);
        acc_stat_sse41(H_ + 4 * 8, dgd_ij + 4 * dgd_stride, shuffle, &kl);
      }
    }
  }
}

static INLINE void compute_stats_win5_opt_sse4_1(
    const uint8_t *dgd, const uint8_t *src, int h_start, int h_end, int v_start,
    int v_end, int dgd_stride, int src_stride, int64_t *M, int64_t *H) {
  int i, j, k, l, m, n;
  const int wiener_win = WIENER_WIN_CHROMA;
  const int pixel_count = (h_end - h_start) * (v_end - v_start);
  const int wiener_win2 = wiener_win * wiener_win;
  const int wiener_halfwin = (wiener_win >> 1);
  const uint8_t avg =
      find_average(dgd, h_start, h_end, v_start, v_end, dgd_stride);

  int32_t M_int32[WIENER_WIN_CHROMA][WIENER_WIN_CHROMA] = { { 0 } };
  int64_t M_int64[WIENER_WIN_CHROMA][WIENER_WIN_CHROMA] = { { 0 } };
  int32_t H_int32[WIENER_WIN2_CHROMA][WIENER_WIN_CHROMA * 8] = { { 0 } };
  int64_t H_int64[WIENER_WIN2_CHROMA][WIENER_WIN_CHROMA * 8] = { { 0 } };
  int32_t sumY[WIENER_WIN_CHROMA][WIENER_WIN_CHROMA] = { { 0 } };
  int32_t sumX = 0;
  const uint8_t *dgd_win = dgd - wiener_halfwin * dgd_stride - wiener_halfwin;

  const __m128i shuffle = xx_loadu_128(g_shuffle_stats_data);
  for (j = v_start; j < v_end; j += 64) {
    const int vert_end = AOMMIN(64, v_end - j) + j;
    for (i = j; i < vert_end; i++) {
      acc_stat_win5_one_line_sse4_1(
          dgd_win + i * dgd_stride, src + i * src_stride, h_start, h_end,
          dgd_stride, &shuffle, &sumX, sumY, M_int32, H_int32);
    }
    for (k = 0; k < wiener_win; ++k) {
      for (l = 0; l < wiener_win; ++l) {
        M_int64[k][l] += M_int32[k][l];
        M_int32[k][l] = 0;
      }
    }
    for (k = 0; k < WIENER_WIN_CHROMA * WIENER_WIN_CHROMA; ++k) {
      for (l = 0; l < WIENER_WIN_CHROMA * 8; ++l) {
        H_int64[k][l] += H_int32[k][l];
        H_int32[k][l] = 0;
      }
    }
  }

  const int64_t avg_square_sum = (int64_t)avg * (int64_t)avg * pixel_count;
  for (k = 0; k < wiener_win; k++) {
    for (l = 0; l < wiener_win; l++) {
      const int32_t idx0 = l * wiener_win + k;
      M[idx0] =
          M_int64[k][l] + (avg_square_sum - (int64_t)avg * (sumX + sumY[k][l]));
      int64_t *H_ = H + idx0 * wiener_win2;
      int64_t *H_int_ = &H_int64[idx0][0];
      for (m = 0; m < wiener_win; m++) {
        for (n = 0; n < wiener_win; n++) {
          H_[m * wiener_win + n] = H_int_[n * 8 + m] + avg_square_sum -
                                   (int64_t)avg * (sumY[k][l] + sumY[n][m]);
        }
      }
    }
  }
}
void av1_compute_stats_sse4_1(int wiener_win, const uint8_t *dgd,
                              const uint8_t *src, int h_start, int h_end,
                              int v_start, int v_end, int dgd_stride,
                              int src_stride, int64_t *M, int64_t *H) {
  if (wiener_win == WIENER_WIN) {
    compute_stats_win7_opt_sse4_1(dgd, src, h_start, h_end, v_start, v_end,
                                  dgd_stride, src_stride, M, H);
  } else if (wiener_win == WIENER_WIN_CHROMA) {
    compute_stats_win5_opt_sse4_1(dgd, src, h_start, h_end, v_start, v_end,
                                  dgd_stride, src_stride, M, H);
  } else {
    av1_compute_stats_c(wiener_win, dgd, src, h_start, h_end, v_start, v_end,
                        dgd_stride, src_stride, M, H);
  }
}

static INLINE __m128i pair_set_epi16(int a, int b) {
  return _mm_set1_epi32((int32_t)(((uint16_t)(a)) | (((uint32_t)(b)) << 16)));
}

int64_t av1_lowbd_pixel_proj_error_sse4_1(
    const uint8_t *src8, int width, int height, int src_stride,
    const uint8_t *dat8, int dat_stride, int32_t *flt0, int flt0_stride,
    int32_t *flt1, int flt1_stride, int xq[2], const sgr_params_type *params) {
  int i, j, k;
  const int32_t shift = SGRPROJ_RST_BITS + SGRPROJ_PRJ_BITS;
  const __m128i rounding = _mm_set1_epi32(1 << (shift - 1));
  __m128i sum64 = _mm_setzero_si128();
  const uint8_t *src = src8;
  const uint8_t *dat = dat8;
  int64_t err = 0;
  if (params->r[0] > 0 && params->r[1] > 0) {
    __m128i xq_coeff = pair_set_epi16(xq[0], xq[1]);
    for (i = 0; i < height; ++i) {
      __m128i sum32 = _mm_setzero_si128();
      for (j = 0; j <= width - 8; j += 8) {
        const __m128i d0 = _mm_cvtepu8_epi16(xx_loadl_64(dat + j));
        const __m128i s0 = _mm_cvtepu8_epi16(xx_loadl_64(src + j));
        const __m128i flt0_16b =
            _mm_packs_epi32(xx_loadu_128(flt0 + j), xx_loadu_128(flt0 + j + 4));
        const __m128i flt1_16b =
            _mm_packs_epi32(xx_loadu_128(flt1 + j), xx_loadu_128(flt1 + j + 4));
        const __m128i u0 = _mm_slli_epi16(d0, SGRPROJ_RST_BITS);
        const __m128i flt0_0_sub_u = _mm_sub_epi16(flt0_16b, u0);
        const __m128i flt1_0_sub_u = _mm_sub_epi16(flt1_16b, u0);
        const __m128i v0 = _mm_madd_epi16(
            xq_coeff, _mm_unpacklo_epi16(flt0_0_sub_u, flt1_0_sub_u));
        const __m128i v1 = _mm_madd_epi16(
            xq_coeff, _mm_unpackhi_epi16(flt0_0_sub_u, flt1_0_sub_u));
        const __m128i vr0 = _mm_srai_epi32(_mm_add_epi32(v0, rounding), shift);
        const __m128i vr1 = _mm_srai_epi32(_mm_add_epi32(v1, rounding), shift);
        const __m128i e0 =
            _mm_sub_epi16(_mm_add_epi16(_mm_packs_epi32(vr0, vr1), d0), s0);
        const __m128i err0 = _mm_madd_epi16(e0, e0);
        sum32 = _mm_add_epi32(sum32, err0);
      }
      for (k = j; k < width; ++k) {
        const int32_t u = (int32_t)(dat[k] << SGRPROJ_RST_BITS);
        int32_t v = xq[0] * (flt0[k] - u) + xq[1] * (flt1[k] - u);
        const int32_t e = ROUND_POWER_OF_TWO(v, shift) + dat[k] - src[k];
        err += ((int64_t)e * e);
      }
      dat += dat_stride;
      src += src_stride;
      flt0 += flt0_stride;
      flt1 += flt1_stride;
      const __m128i sum64_0 = _mm_cvtepi32_epi64(sum32);
      const __m128i sum64_1 = _mm_cvtepi32_epi64(_mm_srli_si128(sum32, 8));
      sum64 = _mm_add_epi64(sum64, sum64_0);
      sum64 = _mm_add_epi64(sum64, sum64_1);
    }
  } else if (params->r[0] > 0 || params->r[1] > 0) {
    const int xq_active = (params->r[0] > 0) ? xq[0] : xq[1];
    const __m128i xq_coeff =
        pair_set_epi16(xq_active, -(xq_active << SGRPROJ_RST_BITS));
    const int32_t *flt = (params->r[0] > 0) ? flt0 : flt1;
    const int flt_stride = (params->r[0] > 0) ? flt0_stride : flt1_stride;
    for (i = 0; i < height; ++i) {
      __m128i sum32 = _mm_setzero_si128();
      for (j = 0; j <= width - 8; j += 8) {
        const __m128i d0 = _mm_cvtepu8_epi16(xx_loadl_64(dat + j));
        const __m128i s0 = _mm_cvtepu8_epi16(xx_loadl_64(src + j));
        const __m128i flt_16b =
            _mm_packs_epi32(xx_loadu_128(flt + j), xx_loadu_128(flt + j + 4));
        const __m128i v0 =
            _mm_madd_epi16(xq_coeff, _mm_unpacklo_epi16(flt_16b, d0));
        const __m128i v1 =
            _mm_madd_epi16(xq_coeff, _mm_unpackhi_epi16(flt_16b, d0));
        const __m128i vr0 = _mm_srai_epi32(_mm_add_epi32(v0, rounding), shift);
        const __m128i vr1 = _mm_srai_epi32(_mm_add_epi32(v1, rounding), shift);
        const __m128i e0 =
            _mm_sub_epi16(_mm_add_epi16(_mm_packs_epi32(vr0, vr1), d0), s0);
        const __m128i err0 = _mm_madd_epi16(e0, e0);
        sum32 = _mm_add_epi32(sum32, err0);
      }
      for (k = j; k < width; ++k) {
        const int32_t u = (int32_t)(dat[k] << SGRPROJ_RST_BITS);
        int32_t v = xq_active * (flt[k] - u);
        const int32_t e = ROUND_POWER_OF_TWO(v, shift) + dat[k] - src[k];
        err += ((int64_t)e * e);
      }
      dat += dat_stride;
      src += src_stride;
      flt += flt_stride;
      const __m128i sum64_0 = _mm_cvtepi32_epi64(sum32);
      const __m128i sum64_1 = _mm_cvtepi32_epi64(_mm_srli_si128(sum32, 8));
      sum64 = _mm_add_epi64(sum64, sum64_0);
      sum64 = _mm_add_epi64(sum64, sum64_1);
    }
  } else {
    __m128i sum32 = _mm_setzero_si128();
    for (i = 0; i < height; ++i) {
      for (j = 0; j <= width - 16; j += 16) {
        const __m128i d = xx_loadu_128(dat + j);
        const __m128i s = xx_loadu_128(src + j);
        const __m128i d0 = _mm_cvtepu8_epi16(d);
        const __m128i d1 = _mm_cvtepu8_epi16(_mm_srli_si128(d, 8));
        const __m128i s0 = _mm_cvtepu8_epi16(s);
        const __m128i s1 = _mm_cvtepu8_epi16(_mm_srli_si128(s, 8));
        const __m128i diff0 = _mm_sub_epi16(d0, s0);
        const __m128i diff1 = _mm_sub_epi16(d1, s1);
        const __m128i err0 = _mm_madd_epi16(diff0, diff0);
        const __m128i err1 = _mm_madd_epi16(diff1, diff1);
        sum32 = _mm_add_epi32(sum32, err0);
        sum32 = _mm_add_epi32(sum32, err1);
      }
      for (k = j; k < width; ++k) {
        const int32_t e = (int32_t)(dat[k]) - src[k];
        err += ((int64_t)e * e);
      }
      dat += dat_stride;
      src += src_stride;
    }
    const __m128i sum64_0 = _mm_cvtepi32_epi64(sum32);
    const __m128i sum64_1 = _mm_cvtepi32_epi64(_mm_srli_si128(sum32, 8));
    sum64 = _mm_add_epi64(sum64_0, sum64_1);
  }
  int64_t sum[2];
  xx_storeu_128(sum, sum64);
  err += sum[0] + sum[1];
  return err;
}

// When params->r[0] > 0 and params->r[1] > 0. In this case all elements of
// C and H need to be computed.
static AOM_INLINE void calc_proj_params_r0_r1_sse4_1(
    const uint8_t *src8, int width, int height, int src_stride,
    const uint8_t *dat8, int dat_stride, int32_t *flt0, int flt0_stride,
    int32_t *flt1, int flt1_stride, int64_t H[2][2], int64_t C[2]) {
  const int size = width * height;
  const uint8_t *src = src8;
  const uint8_t *dat = dat8;
  __m128i h00, h01, h11, c0, c1;
  const __m128i zero = _mm_setzero_si128();
  h01 = h11 = c0 = c1 = h00 = zero;

  for (int i = 0; i < height; ++i) {
    for (int j = 0; j < width; j += 4) {
      const __m128i u_load = _mm_cvtepu8_epi32(
          _mm_cvtsi32_si128(*((int *)(dat + i * dat_stride + j))));
      const __m128i s_load = _mm_cvtepu8_epi32(
          _mm_cvtsi32_si128(*((int *)(src + i * src_stride + j))));
      __m128i f1 = _mm_loadu_si128((__m128i *)(flt0 + i * flt0_stride + j));
      __m128i f2 = _mm_loadu_si128((__m128i *)(flt1 + i * flt1_stride + j));
      __m128i d = _mm_slli_epi32(u_load, SGRPROJ_RST_BITS);
      __m128i s = _mm_slli_epi32(s_load, SGRPROJ_RST_BITS);
      s = _mm_sub_epi32(s, d);
      f1 = _mm_sub_epi32(f1, d);
      f2 = _mm_sub_epi32(f2, d);

      const __m128i h00_even = _mm_mul_epi32(f1, f1);
      const __m128i h00_odd =
          _mm_mul_epi32(_mm_srli_epi64(f1, 32), _mm_srli_epi64(f1, 32));
      h00 = _mm_add_epi64(h00, h00_even);
      h00 = _mm_add_epi64(h00, h00_odd);

      const __m128i h01_even = _mm_mul_epi32(f1, f2);
      const __m128i h01_odd =
          _mm_mul_epi32(_mm_srli_epi64(f1, 32), _mm_srli_epi64(f2, 32));
      h01 = _mm_add_epi64(h01, h01_even);
      h01 = _mm_add_epi64(h01, h01_odd);

      const __m128i h11_even = _mm_mul_epi32(f2, f2);
      const __m128i h11_odd =
          _mm_mul_epi32(_mm_srli_epi64(f2, 32), _mm_srli_epi64(f2, 32));
      h11 = _mm_add_epi64(h11, h11_even);
      h11 = _mm_add_epi64(h11, h11_odd);

      const __m128i c0_even = _mm_mul_epi32(f1, s);
      const __m128i c0_odd =
          _mm_mul_epi32(_mm_srli_epi64(f1, 32), _mm_srli_epi64(s, 32));
      c0 = _mm_add_epi64(c0, c0_even);
      c0 = _mm_add_epi64(c0, c0_odd);

      const __m128i c1_even = _mm_mul_epi32(f2, s);
      const __m128i c1_odd =
          _mm_mul_epi32(_mm_srli_epi64(f2, 32), _mm_srli_epi64(s, 32));
      c1 = _mm_add_epi64(c1, c1_even);
      c1 = _mm_add_epi64(c1, c1_odd);
    }
  }

  __m128i c_low = _mm_unpacklo_epi64(c0, c1);
  const __m128i c_high = _mm_unpackhi_epi64(c0, c1);
  c_low = _mm_add_epi64(c_low, c_high);

  __m128i h0x_low = _mm_unpacklo_epi64(h00, h01);
  const __m128i h0x_high = _mm_unpackhi_epi64(h00, h01);
  h0x_low = _mm_add_epi64(h0x_low, h0x_high);

  // Using the symmetric properties of H,  calculations of H[1][0] are not
  // needed.
  __m128i h1x_low = _mm_unpacklo_epi64(zero, h11);
  const __m128i h1x_high = _mm_unpackhi_epi64(zero, h11);
  h1x_low = _mm_add_epi64(h1x_low, h1x_high);

  xx_storeu_128(C, c_low);
  xx_storeu_128(H[0], h0x_low);
  xx_storeu_128(H[1], h1x_low);

  H[0][0] /= size;
  H[0][1] /= size;
  H[1][1] /= size;

  // Since H is a symmetric matrix
  H[1][0] = H[0][1];
  C[0] /= size;
  C[1] /= size;
}

// When only params->r[0] > 0. In this case only H[0][0] and C[0] are
// non-zero and need to be computed.
static AOM_INLINE void calc_proj_params_r0_sse4_1(
    const uint8_t *src8, int width, int height, int src_stride,
    const uint8_t *dat8, int dat_stride, int32_t *flt0, int flt0_stride,
    int64_t H[2][2], int64_t C[2]) {
  const int size = width * height;
  const uint8_t *src = src8;
  const uint8_t *dat = dat8;
  __m128i h00, c0;
  const __m128i zero = _mm_setzero_si128();
  c0 = h00 = zero;

  for (int i = 0; i < height; ++i) {
    for (int j = 0; j < width; j += 4) {
      const __m128i u_load = _mm_cvtepu8_epi32(
          _mm_cvtsi32_si128(*((int *)(dat + i * dat_stride + j))));
      const __m128i s_load = _mm_cvtepu8_epi32(
          _mm_cvtsi32_si128(*((int *)(src + i * src_stride + j))));
      __m128i f1 = _mm_loadu_si128((__m128i *)(flt0 + i * flt0_stride + j));
      __m128i d = _mm_slli_epi32(u_load, SGRPROJ_RST_BITS);
      __m128i s = _mm_slli_epi32(s_load, SGRPROJ_RST_BITS);
      s = _mm_sub_epi32(s, d);
      f1 = _mm_sub_epi32(f1, d);

      const __m128i h00_even = _mm_mul_epi32(f1, f1);
      const __m128i h00_odd =
          _mm_mul_epi32(_mm_srli_epi64(f1, 32), _mm_srli_epi64(f1, 32));
      h00 = _mm_add_epi64(h00, h00_even);
      h00 = _mm_add_epi64(h00, h00_odd);

      const __m128i c0_even = _mm_mul_epi32(f1, s);
      const __m128i c0_odd =
          _mm_mul_epi32(_mm_srli_epi64(f1, 32), _mm_srli_epi64(s, 32));
      c0 = _mm_add_epi64(c0, c0_even);
      c0 = _mm_add_epi64(c0, c0_odd);
    }
  }
  const __m128i h00_val = _mm_add_epi64(h00, _mm_srli_si128(h00, 8));

  const __m128i c0_val = _mm_add_epi64(c0, _mm_srli_si128(c0, 8));

  const __m128i c = _mm_unpacklo_epi64(c0_val, zero);
  const __m128i h0x = _mm_unpacklo_epi64(h00_val, zero);

  xx_storeu_128(C, c);
  xx_storeu_128(H[0], h0x);

  H[0][0] /= size;
  C[0] /= size;
}

// When only params->r[1] > 0. In this case only H[1][1] and C[1] are
// non-zero and need to be computed.
static AOM_INLINE void calc_proj_params_r1_sse4_1(
    const uint8_t *src8, int width, int height, int src_stride,
    const uint8_t *dat8, int dat_stride, int32_t *flt1, int flt1_stride,
    int64_t H[2][2], int64_t C[2]) {
  const int size = width * height;
  const uint8_t *src = src8;
  const uint8_t *dat = dat8;
  __m128i h11, c1;
  const __m128i zero = _mm_setzero_si128();
  c1 = h11 = zero;

  for (int i = 0; i < height; ++i) {
    for (int j = 0; j < width; j += 4) {
      const __m128i u_load = _mm_cvtepu8_epi32(
          _mm_cvtsi32_si128(*((int *)(dat + i * dat_stride + j))));
      const __m128i s_load = _mm_cvtepu8_epi32(
          _mm_cvtsi32_si128(*((int *)(src + i * src_stride + j))));
      __m128i f2 = _mm_loadu_si128((__m128i *)(flt1 + i * flt1_stride + j));
      __m128i d = _mm_slli_epi32(u_load, SGRPROJ_RST_BITS);
      __m128i s = _mm_slli_epi32(s_load, SGRPROJ_RST_BITS);
      s = _mm_sub_epi32(s, d);
      f2 = _mm_sub_epi32(f2, d);

      const __m128i h11_even = _mm_mul_epi32(f2, f2);
      const __m128i h11_odd =
          _mm_mul_epi32(_mm_srli_epi64(f2, 32), _mm_srli_epi64(f2, 32));
      h11 = _mm_add_epi64(h11, h11_even);
      h11 = _mm_add_epi64(h11, h11_odd);

      const __m128i c1_even = _mm_mul_epi32(f2, s);
      const __m128i c1_odd =
          _mm_mul_epi32(_mm_srli_epi64(f2, 32), _mm_srli_epi64(s, 32));
      c1 = _mm_add_epi64(c1, c1_even);
      c1 = _mm_add_epi64(c1, c1_odd);
    }
  }

  const __m128i h11_val = _mm_add_epi64(h11, _mm_srli_si128(h11, 8));

  const __m128i c1_val = _mm_add_epi64(c1, _mm_srli_si128(c1, 8));

  const __m128i c = _mm_unpacklo_epi64(zero, c1_val);
  const __m128i h1x = _mm_unpacklo_epi64(zero, h11_val);

  xx_storeu_128(C, c);
  xx_storeu_128(H[1], h1x);

  H[1][1] /= size;
  C[1] /= size;
}

// SSE4.1 variant of av1_calc_proj_params_c.
void av1_calc_proj_params_sse4_1(const uint8_t *src8, int width, int height,
                                 int src_stride, const uint8_t *dat8,
                                 int dat_stride, int32_t *flt0, int flt0_stride,
                                 int32_t *flt1, int flt1_stride,
                                 int64_t H[2][2], int64_t C[2],
                                 const sgr_params_type *params) {
  if ((params->r[0] > 0) && (params->r[1] > 0)) {
    calc_proj_params_r0_r1_sse4_1(src8, width, height, src_stride, dat8,
                                  dat_stride, flt0, flt0_stride, flt1,
                                  flt1_stride, H, C);
  } else if (params->r[0] > 0) {
    calc_proj_params_r0_sse4_1(src8, width, height, src_stride, dat8,
                               dat_stride, flt0, flt0_stride, H, C);
  } else if (params->r[1] > 0) {
    calc_proj_params_r1_sse4_1(src8, width, height, src_stride, dat8,
                               dat_stride, flt1, flt1_stride, H, C);
  }
}

static AOM_INLINE void calc_proj_params_r0_r1_high_bd_sse4_1(
    const uint8_t *src8, int width, int height, int src_stride,
    const uint8_t *dat8, int dat_stride, int32_t *flt0, int flt0_stride,
    int32_t *flt1, int flt1_stride, int64_t H[2][2], int64_t C[2]) {
  const int size = width * height;
  const uint16_t *src = CONVERT_TO_SHORTPTR(src8);
  const uint16_t *dat = CONVERT_TO_SHORTPTR(dat8);
  __m128i h00, h01, h11, c0, c1;
  const __m128i zero = _mm_setzero_si128();
  h01 = h11 = c0 = c1 = h00 = zero;

  for (int i = 0; i < height; ++i) {
    for (int j = 0; j < width; j += 4) {
      const __m128i u_load = _mm_cvtepu16_epi32(
          _mm_loadl_epi64((__m128i *)(dat + i * dat_stride + j)));
      const __m128i s_load = _mm_cvtepu16_epi32(
          _mm_loadl_epi64((__m128i *)(src + i * src_stride + j)));
      __m128i f1 = _mm_loadu_si128((__m128i *)(flt0 + i * flt0_stride + j));
      __m128i f2 = _mm_loadu_si128((__m128i *)(flt1 + i * flt1_stride + j));
      __m128i d = _mm_slli_epi32(u_load, SGRPROJ_RST_BITS);
      __m128i s = _mm_slli_epi32(s_load, SGRPROJ_RST_BITS);
      s = _mm_sub_epi32(s, d);
      f1 = _mm_sub_epi32(f1, d);
      f2 = _mm_sub_epi32(f2, d);

      const __m128i h00_even = _mm_mul_epi32(f1, f1);
      const __m128i h00_odd =
          _mm_mul_epi32(_mm_srli_epi64(f1, 32), _mm_srli_epi64(f1, 32));
      h00 = _mm_add_epi64(h00, h00_even);
      h00 = _mm_add_epi64(h00, h00_odd);

      const __m128i h01_even = _mm_mul_epi32(f1, f2);
      const __m128i h01_odd =
          _mm_mul_epi32(_mm_srli_epi64(f1, 32), _mm_srli_epi64(f2, 32));
      h01 = _mm_add_epi64(h01, h01_even);
      h01 = _mm_add_epi64(h01, h01_odd);

      const __m128i h11_even = _mm_mul_epi32(f2, f2);
      const __m128i h11_odd =
          _mm_mul_epi32(_mm_srli_epi64(f2, 32), _mm_srli_epi64(f2, 32));
      h11 = _mm_add_epi64(h11, h11_even);
      h11 = _mm_add_epi64(h11, h11_odd);

      const __m128i c0_even = _mm_mul_epi32(f1, s);
      const __m128i c0_odd =
          _mm_mul_epi32(_mm_srli_epi64(f1, 32), _mm_srli_epi64(s, 32));
      c0 = _mm_add_epi64(c0, c0_even);
      c0 = _mm_add_epi64(c0, c0_odd);

      const __m128i c1_even = _mm_mul_epi32(f2, s);
      const __m128i c1_odd =
          _mm_mul_epi32(_mm_srli_epi64(f2, 32), _mm_srli_epi64(s, 32));
      c1 = _mm_add_epi64(c1, c1_even);
      c1 = _mm_add_epi64(c1, c1_odd);
    }
  }

  __m128i c_low = _mm_unpacklo_epi64(c0, c1);
  const __m128i c_high = _mm_unpackhi_epi64(c0, c1);
  c_low = _mm_add_epi64(c_low, c_high);

  __m128i h0x_low = _mm_unpacklo_epi64(h00, h01);
  const __m128i h0x_high = _mm_unpackhi_epi64(h00, h01);
  h0x_low = _mm_add_epi64(h0x_low, h0x_high);

  // Using the symmetric properties of H,  calculations of H[1][0] are not
  // needed.
  __m128i h1x_low = _mm_unpacklo_epi64(zero, h11);
  const __m128i h1x_high = _mm_unpackhi_epi64(zero, h11);
  h1x_low = _mm_add_epi64(h1x_low, h1x_high);

  xx_storeu_128(C, c_low);
  xx_storeu_128(H[0], h0x_low);
  xx_storeu_128(H[1], h1x_low);

  H[0][0] /= size;
  H[0][1] /= size;
  H[1][1] /= size;

  // Since H is a symmetric matrix
  H[1][0] = H[0][1];
  C[0] /= size;
  C[1] /= size;
}

// When only params->r[0] > 0. In this case only H[0][0] and C[0] are
// non-zero and need to be computed.
static AOM_INLINE void calc_proj_params_r0_high_bd_sse4_1(
    const uint8_t *src8, int width, int height, int src_stride,
    const uint8_t *dat8, int dat_stride, int32_t *flt0, int flt0_stride,
    int64_t H[2][2], int64_t C[2]) {
  const int size = width * height;
  const uint16_t *src = CONVERT_TO_SHORTPTR(src8);
  const uint16_t *dat = CONVERT_TO_SHORTPTR(dat8);
  __m128i h00, c0;
  const __m128i zero = _mm_setzero_si128();
  c0 = h00 = zero;

  for (int i = 0; i < height; ++i) {
    for (int j = 0; j < width; j += 4) {
      const __m128i u_load = _mm_cvtepu16_epi32(
          _mm_loadl_epi64((__m128i *)(dat + i * dat_stride + j)));
      const __m128i s_load = _mm_cvtepu16_epi32(
          _mm_loadl_epi64((__m128i *)(src + i * src_stride + j)));
      __m128i f1 = _mm_loadu_si128((__m128i *)(flt0 + i * flt0_stride + j));
      __m128i d = _mm_slli_epi32(u_load, SGRPROJ_RST_BITS);
      __m128i s = _mm_slli_epi32(s_load, SGRPROJ_RST_BITS);
      s = _mm_sub_epi32(s, d);
      f1 = _mm_sub_epi32(f1, d);

      const __m128i h00_even = _mm_mul_epi32(f1, f1);
      const __m128i h00_odd =
          _mm_mul_epi32(_mm_srli_epi64(f1, 32), _mm_srli_epi64(f1, 32));
      h00 = _mm_add_epi64(h00, h00_even);
      h00 = _mm_add_epi64(h00, h00_odd);

      const __m128i c0_even = _mm_mul_epi32(f1, s);
      const __m128i c0_odd =
          _mm_mul_epi32(_mm_srli_epi64(f1, 32), _mm_srli_epi64(s, 32));
      c0 = _mm_add_epi64(c0, c0_even);
      c0 = _mm_add_epi64(c0, c0_odd);
    }
  }
  const __m128i h00_val = _mm_add_epi64(h00, _mm_srli_si128(h00, 8));

  const __m128i c0_val = _mm_add_epi64(c0, _mm_srli_si128(c0, 8));

  const __m128i c = _mm_unpacklo_epi64(c0_val, zero);
  const __m128i h0x = _mm_unpacklo_epi64(h00_val, zero);

  xx_storeu_128(C, c);
  xx_storeu_128(H[0], h0x);

  H[0][0] /= size;
  C[0] /= size;
}

// When only params->r[1] > 0. In this case only H[1][1] and C[1] are
// non-zero and need to be computed.
static AOM_INLINE void calc_proj_params_r1_high_bd_sse4_1(
    const uint8_t *src8, int width, int height, int src_stride,
    const uint8_t *dat8, int dat_stride, int32_t *flt1, int flt1_stride,
    int64_t H[2][2], int64_t C[2]) {
  const int size = width * height;
  const uint16_t *src = CONVERT_TO_SHORTPTR(src8);
  const uint16_t *dat = CONVERT_TO_SHORTPTR(dat8);
  __m128i h11, c1;
  const __m128i zero = _mm_setzero_si128();
  c1 = h11 = zero;

  for (int i = 0; i < height; ++i) {
    for (int j = 0; j < width; j += 4) {
      const __m128i u_load = _mm_cvtepu16_epi32(
          _mm_loadl_epi64((__m128i *)(dat + i * dat_stride + j)));
      const __m128i s_load = _mm_cvtepu16_epi32(
          _mm_loadl_epi64((__m128i *)(src + i * src_stride + j)));
      __m128i f2 = _mm_loadu_si128((__m128i *)(flt1 + i * flt1_stride + j));
      __m128i d = _mm_slli_epi32(u_load, SGRPROJ_RST_BITS);
      __m128i s = _mm_slli_epi32(s_load, SGRPROJ_RST_BITS);
      s = _mm_sub_epi32(s, d);
      f2 = _mm_sub_epi32(f2, d);

      const __m128i h11_even = _mm_mul_epi32(f2, f2);
      const __m128i h11_odd =
          _mm_mul_epi32(_mm_srli_epi64(f2, 32), _mm_srli_epi64(f2, 32));
      h11 = _mm_add_epi64(h11, h11_even);
      h11 = _mm_add_epi64(h11, h11_odd);

      const __m128i c1_even = _mm_mul_epi32(f2, s);
      const __m128i c1_odd =
          _mm_mul_epi32(_mm_srli_epi64(f2, 32), _mm_srli_epi64(s, 32));
      c1 = _mm_add_epi64(c1, c1_even);
      c1 = _mm_add_epi64(c1, c1_odd);
    }
  }

  const __m128i h11_val = _mm_add_epi64(h11, _mm_srli_si128(h11, 8));

  const __m128i c1_val = _mm_add_epi64(c1, _mm_srli_si128(c1, 8));

  const __m128i c = _mm_unpacklo_epi64(zero, c1_val);
  const __m128i h1x = _mm_unpacklo_epi64(zero, h11_val);

  xx_storeu_128(C, c);
  xx_storeu_128(H[1], h1x);

  H[1][1] /= size;
  C[1] /= size;
}

// SSE4.1 variant of av1_calc_proj_params_high_bd_c.
void av1_calc_proj_params_high_bd_sse4_1(const uint8_t *src8, int width,
                                         int height, int src_stride,
                                         const uint8_t *dat8, int dat_stride,
                                         int32_t *flt0, int flt0_stride,
                                         int32_t *flt1, int flt1_stride,
                                         int64_t H[2][2], int64_t C[2],
                                         const sgr_params_type *params) {
  if ((params->r[0] > 0) && (params->r[1] > 0)) {
    calc_proj_params_r0_r1_high_bd_sse4_1(src8, width, height, src_stride, dat8,
                                          dat_stride, flt0, flt0_stride, flt1,
                                          flt1_stride, H, C);
  } else if (params->r[0] > 0) {
    calc_proj_params_r0_high_bd_sse4_1(src8, width, height, src_stride, dat8,
                                       dat_stride, flt0, flt0_stride, H, C);
  } else if (params->r[1] > 0) {
    calc_proj_params_r1_high_bd_sse4_1(src8, width, height, src_stride, dat8,
                                       dat_stride, flt1, flt1_stride, H, C);
  }
}

#if CONFIG_AV1_HIGHBITDEPTH
int64_t av1_highbd_pixel_proj_error_sse4_1(
    const uint8_t *src8, int width, int height, int src_stride,
    const uint8_t *dat8, int dat_stride, int32_t *flt0, int flt0_stride,
    int32_t *flt1, int flt1_stride, int xq[2], const sgr_params_type *params) {
  int i, j, k;
  const int32_t shift = SGRPROJ_RST_BITS + SGRPROJ_PRJ_BITS;
  const __m128i rounding = _mm_set1_epi32(1 << (shift - 1));
  __m128i sum64 = _mm_setzero_si128();
  const uint16_t *src = CONVERT_TO_SHORTPTR(src8);
  const uint16_t *dat = CONVERT_TO_SHORTPTR(dat8);
  int64_t err = 0;
  if (params->r[0] > 0 && params->r[1] > 0) {  // Both filters are enabled
    const __m128i xq0 = _mm_set1_epi32(xq[0]);
    const __m128i xq1 = _mm_set1_epi32(xq[1]);

    for (i = 0; i < height; ++i) {
      __m128i sum32 = _mm_setzero_si128();
      for (j = 0; j <= width - 8; j += 8) {
        // Load 8x pixels from source image
        const __m128i s0 = xx_loadu_128(src + j);
        // s0 = [7 6 5 4 3 2 1 0] as i16 (indices of src[])

        // Load 8x pixels from corrupted image
        const __m128i d0 = xx_loadu_128(dat + j);
        // d0 = [7 6 5 4 3 2 1 0] as i16 (indices of dat[])

        // Shift each pixel value up by SGRPROJ_RST_BITS
        const __m128i u0 = _mm_slli_epi16(d0, SGRPROJ_RST_BITS);

        // Split u0 into two halves and pad each from u16 to i32
        const __m128i u0l = _mm_cvtepu16_epi32(u0);
        const __m128i u0h = _mm_cvtepu16_epi32(_mm_srli_si128(u0, 8));
        // u0h = [7 6 5 4] as i32, u0l = [3 2 1 0] as i32, all dat[] indices

        // Load 8 pixels from first and second filtered images
        const __m128i flt0l = xx_loadu_128(flt0 + j);
        const __m128i flt0h = xx_loadu_128(flt0 + j + 4);
        const __m128i flt1l = xx_loadu_128(flt1 + j);
        const __m128i flt1h = xx_loadu_128(flt1 + j + 4);
        // flt0 = [7 6 5 4] [3 2 1 0] as i32 (indices of flt0+j)
        // flt1 = [7 6 5 4] [3 2 1 0] as i32 (indices of flt1+j)

        // Subtract shifted corrupt image from each filtered image
        // This gives our two basis vectors for the projection
        const __m128i flt0l_subu = _mm_sub_epi32(flt0l, u0l);
        const __m128i flt0h_subu = _mm_sub_epi32(flt0h, u0h);
        const __m128i flt1l_subu = _mm_sub_epi32(flt1l, u0l);
        const __m128i flt1h_subu = _mm_sub_epi32(flt1h, u0h);
        // flt?h_subu = [ f[7]-u[7] f[6]-u[6] f[5]-u[5] f[4]-u[4] ] as i32
        // flt?l_subu = [ f[3]-u[3] f[2]-u[2] f[1]-u[1] f[0]-u[0] ] as i32

        // Multiply each basis vector by the corresponding coefficient
        const __m128i v0l = _mm_mullo_epi32(flt0l_subu, xq0);
        const __m128i v0h = _mm_mullo_epi32(flt0h_subu, xq0);
        const __m128i v1l = _mm_mullo_epi32(flt1l_subu, xq1);
        const __m128i v1h = _mm_mullo_epi32(flt1h_subu, xq1);

        // Add together the contribution from each scaled basis vector
        const __m128i vl = _mm_add_epi32(v0l, v1l);
        const __m128i vh = _mm_add_epi32(v0h, v1h);

        // Right-shift v with appropriate rounding
        const __m128i vrl = _mm_srai_epi32(_mm_add_epi32(vl, rounding), shift);
        const __m128i vrh = _mm_srai_epi32(_mm_add_epi32(vh, rounding), shift);

        // Saturate each i32 value to i16 and combine lower and upper halves
        const __m128i vr = _mm_packs_epi32(vrl, vrh);

        // Add twin-subspace-sgr-filter to corrupt image then subtract source
        const __m128i e0 = _mm_sub_epi16(_mm_add_epi16(vr, d0), s0);

        // Calculate squared error and add adjacent values
        const __m128i err0 = _mm_madd_epi16(e0, e0);

        sum32 = _mm_add_epi32(sum32, err0);
      }

      const __m128i sum32l = _mm_cvtepu32_epi64(sum32);
      sum64 = _mm_add_epi64(sum64, sum32l);
      const __m128i sum32h = _mm_cvtepu32_epi64(_mm_srli_si128(sum32, 8));
      sum64 = _mm_add_epi64(sum64, sum32h);

      // Process remaining pixels in this row (modulo 8)
      for (k = j; k < width; ++k) {
        const int32_t u = (int32_t)(dat[k] << SGRPROJ_RST_BITS);
        int32_t v = xq[0] * (flt0[k] - u) + xq[1] * (flt1[k] - u);
        const int32_t e = ROUND_POWER_OF_TWO(v, shift) + dat[k] - src[k];
        err += ((int64_t)e * e);
      }
      dat += dat_stride;
      src += src_stride;
      flt0 += flt0_stride;
      flt1 += flt1_stride;
    }
  } else if (params->r[0] > 0 || params->r[1] > 0) {  // Only one filter enabled
    const int32_t xq_on = (params->r[0] > 0) ? xq[0] : xq[1];
    const __m128i xq_active = _mm_set1_epi32(xq_on);
    const __m128i xq_inactive =
        _mm_set1_epi32(-xq_on * (1 << SGRPROJ_RST_BITS));
    const int32_t *flt = (params->r[0] > 0) ? flt0 : flt1;
    const int flt_stride = (params->r[0] > 0) ? flt0_stride : flt1_stride;
    for (i = 0; i < height; ++i) {
      __m128i sum32 = _mm_setzero_si128();
      for (j = 0; j <= width - 8; j += 8) {
        // Load 8x pixels from source image
        const __m128i s0 = xx_loadu_128(src + j);
        // s0 = [7 6 5 4 3 2 1 0] as u16 (indices of src[])

        // Load 8x pixels from corrupted image and pad each u16 to i32
        const __m128i d0 = xx_loadu_128(dat + j);
        const __m128i d0h = _mm_cvtepu16_epi32(_mm_srli_si128(d0, 8));
        const __m128i d0l = _mm_cvtepu16_epi32(d0);
        // d0h, d0l = [7 6 5 4], [3 2 1 0] as u32 (indices of dat[])

        // Load 8 pixels from the filtered image
        const __m128i flth = xx_loadu_128(flt + j + 4);
        const __m128i fltl = xx_loadu_128(flt + j);
        // flth, fltl = [7 6 5 4], [3 2 1 0] as i32 (indices of flt+j)

        const __m128i flth_xq = _mm_mullo_epi32(flth, xq_active);
        const __m128i fltl_xq = _mm_mullo_epi32(fltl, xq_active);
        const __m128i d0h_xq = _mm_mullo_epi32(d0h, xq_inactive);
        const __m128i d0l_xq = _mm_mullo_epi32(d0l, xq_inactive);

        const __m128i vh = _mm_add_epi32(flth_xq, d0h_xq);
        const __m128i vl = _mm_add_epi32(fltl_xq, d0l_xq);
        // vh = [ xq0(f[7]-d[7]) xq0(f[6]-d[6]) xq0(f[5]-d[5]) xq0(f[4]-d[4]) ]
        // vl = [ xq0(f[3]-d[3]) xq0(f[2]-d[2]) xq0(f[1]-d[1]) xq0(f[0]-d[0]) ]

        // Shift this down with appropriate rounding
        const __m128i vrh = _mm_srai_epi32(_mm_add_epi32(vh, rounding), shift);
        const __m128i vrl = _mm_srai_epi32(_mm_add_epi32(vl, rounding), shift);

        // Saturate vr0 and vr1 from i32 to i16 then pack together
        const __m128i vr = _mm_packs_epi32(vrl, vrh);

        // Subtract twin-subspace-sgr filtered from source image to get error
        const __m128i e0 = _mm_sub_epi16(_mm_add_epi16(vr, d0), s0);

        // Calculate squared error and add adjacent values
        const __m128i err0 = _mm_madd_epi16(e0, e0);

        sum32 = _mm_add_epi32(sum32, err0);
      }

      const __m128i sum32l = _mm_cvtepu32_epi64(sum32);
      sum64 = _mm_add_epi64(sum64, sum32l);
      const __m128i sum32h = _mm_cvtepu32_epi64(_mm_srli_si128(sum32, 8));
      sum64 = _mm_add_epi64(sum64, sum32h);

      // Process remaining pixels in this row (modulo 8)
      for (k = j; k < width; ++k) {
        const int32_t u = (int32_t)(dat[k] << SGRPROJ_RST_BITS);
        int32_t v = xq_on * (flt[k] - u);
        const int32_t e = ROUND_POWER_OF_TWO(v, shift) + dat[k] - src[k];
        err += ((int64_t)e * e);
      }
      dat += dat_stride;
      src += src_stride;
      flt += flt_stride;
    }
  } else {  // Neither filter is enabled
    for (i = 0; i < height; ++i) {
      __m128i sum32 = _mm_setzero_si128();
      for (j = 0; j <= width - 16; j += 16) {
        // Load 2x8 u16 from source image
        const __m128i s0 = xx_loadu_128(src + j);
        const __m128i s1 = xx_loadu_128(src + j + 8);
        // Load 2x8 u16 from corrupted image
        const __m128i d0 = xx_loadu_128(dat + j);
        const __m128i d1 = xx_loadu_128(dat + j + 8);

        // Subtract corrupted image from source image
        const __m128i diff0 = _mm_sub_epi16(d0, s0);
        const __m128i diff1 = _mm_sub_epi16(d1, s1);

        // Square error and add adjacent values
        const __m128i err0 = _mm_madd_epi16(diff0, diff0);
        const __m128i err1 = _mm_madd_epi16(diff1, diff1);

        sum32 = _mm_add_epi32(sum32, err0);
        sum32 = _mm_add_epi32(sum32, err1);
      }

      const __m128i sum32l = _mm_cvtepu32_epi64(sum32);
      sum64 = _mm_add_epi64(sum64, sum32l);
      const __m128i sum32h = _mm_cvtepu32_epi64(_mm_srli_si128(sum32, 8));
      sum64 = _mm_add_epi64(sum64, sum32h);

      // Process remaining pixels (modulu 8)
      for (k = j; k < width; ++k) {
        const int32_t e = (int32_t)(dat[k]) - src[k];
        err += ((int64_t)e * e);
      }
      dat += dat_stride;
      src += src_stride;
    }
  }

  // Sum 4 values from sum64l and sum64h into err
  int64_t sum[2];
  xx_storeu_128(sum, sum64);
  err += sum[0] + sum[1];
  return err;
}
#endif  // CONFIG_AV1_HIGHBITDEPTH