text: /*
  * Copyright(c) 2019 Intel Corporation
  * SPDX - License - Identifier: BSD - 2 - Clause - Patent
  */ 
  
  /*
  * Copyright (c) 2016, Alliance for Open Media. All rights reserved
  *
  * This source code is subject to the terms of the BSD 2 Clause License and
  * the Alliance for Open Media Patent License 1.0. If the BSD 2 Clause License
  * was not distributed with this source code in the LICENSE file, you can
  * obtain it at www.aomedia.org/license/software. If the Alliance for Open
  * Media Patent License 1.0 was not distributed with this source code in the
  * PATENTS file, you can obtain it at www.aomedia.org/license/patent.
  */
  
  #include <assert.h>
  #include "EbDefinitions.h"
  #include "aom_dsp_rtcd.h"
  #include "EbTransforms.h"
  #include <immintrin.h>
  #include "txfm_common_sse2.h"
  
  const int32_t *cospi_arr(int32_t n);
  const int32_t *sinpi_arr(int32_t n);
  static const int32_t NewSqrt2Bits = 12;
  // 2^12 * sqrt(2)
  static const int32_t NewSqrt2 = 5793;
  
  void get_flip_cfg(TxType tx_type, int32_t *ud_flip, int32_t *lr_flip);
  void Av1TransformConfig(
      TxType tx_type,
      TxSize tx_size,
      Txfm2DFlipCfg *cfg);
  
  typedef void(*fwd_transform_1d_avx2)(const __m256i *in, __m256i *out, int8_t bit,
      const int32_t num_cols);
  
  #define TRANSPOSE_4X4_AVX2(x0, x1, x2, x3, y0, y1, y2, y3) \
    do {                                                \
      __m256i u0, u1, u2, u3;                           \
      u0 = _mm256_unpacklo_epi32(x0, x1);                  \
      u1 = _mm256_unpackhi_epi32(x0, x1);                  \
      u2 = _mm256_unpacklo_epi32(x2, x3);                  \
      u3 = _mm256_unpackhi_epi32(x2, x3);                  \
      y0 = _mm256_unpacklo_epi64(u0, u2);                  \
      y1 = _mm256_unpackhi_epi64(u0, u2);                  \
      y2 = _mm256_unpacklo_epi64(u1, u3);                  \
      y3 = _mm256_unpackhi_epi64(u1, u3);                  \
      } while (0)
  
  static INLINE void transpose_8x8_avx2(const __m256i *in, __m256i *out) {
      __m256i out1[8];
      TRANSPOSE_4X4_AVX2(in[0], in[1], in[2], in[3], out1[0], out1[1], out1[4], out1[5]);
      TRANSPOSE_4X4_AVX2(in[4], in[5], in[6], in[7], out1[2], out1[3], out1[6], out1[7]);
      out[0] = _mm256_permute2x128_si256(out1[0], out1[2], 0x20);
      out[1] = _mm256_permute2x128_si256(out1[1], out1[3], 0x20);
      out[2] = _mm256_permute2x128_si256(out1[4], out1[6], 0x20);
      out[3] = _mm256_permute2x128_si256(out1[5], out1[7], 0x20);
      out[4] = _mm256_permute2x128_si256(out1[0], out1[2], 0x31);
      out[5] = _mm256_permute2x128_si256(out1[1], out1[3], 0x31);
      out[6] = _mm256_permute2x128_si256(out1[4], out1[6], 0x31);
      out[7] = _mm256_permute2x128_si256(out1[5], out1[7], 0x31);
  }
  
  static INLINE void transpose_16x16_avx2(const __m256i *in, __m256i *out) {
      __m256i temp[32];
      TRANSPOSE_4X4_AVX2(in[0], in[2], in[4], in[6], temp[0], temp[2], temp[4], temp[6]);
      TRANSPOSE_4X4_AVX2(in[8], in[10], in[12], in[14], temp[17], temp[19], temp[21], temp[23]);
      TRANSPOSE_4X4_AVX2(in[1], in[3], in[5], in[7], temp[16], temp[18], temp[20], temp[22]);
      TRANSPOSE_4X4_AVX2(in[9], in[11], in[13], in[15], temp[25], temp[27], temp[29], temp[31]);
      TRANSPOSE_4X4_AVX2(in[16], in[18], in[20], in[22], temp[1], temp[3], temp[5], temp[7]);
      TRANSPOSE_4X4_AVX2(in[24], in[26], in[28], in[30], temp[9], temp[11], temp[13], temp[15]);
      TRANSPOSE_4X4_AVX2(in[17], in[19], in[21], in[23], temp[8], temp[10], temp[12], temp[14]);
      TRANSPOSE_4X4_AVX2(in[25], in[27], in[29], in[31], temp[24], temp[26], temp[28], temp[30]);
  
      out[0] = _mm256_permute2x128_si256(temp[0], temp[17], 0x20);
      out[1] = _mm256_permute2x128_si256(temp[1], temp[9], 0x20);
      out[2] = _mm256_permute2x128_si256(temp[2], temp[19], 0x20);
      out[3] = _mm256_permute2x128_si256(temp[3], temp[11], 0x20);
      out[4] = _mm256_permute2x128_si256(temp[4], temp[21], 0x20);
      out[5] = _mm256_permute2x128_si256(temp[5], temp[13], 0x20);
      out[6] = _mm256_permute2x128_si256(temp[6], temp[23], 0x20);
      out[7] = _mm256_permute2x128_si256(temp[7], temp[15], 0x20);
      out[8] = _mm256_permute2x128_si256(temp[0], temp[17], 0x31);
      out[9] = _mm256_permute2x128_si256(temp[1], temp[9], 0x31);
      out[10] = _mm256_permute2x128_si256(temp[2], temp[19], 0x31);
      out[11] = _mm256_permute2x128_si256(temp[3], temp[11], 0x31);
      out[12] = _mm256_permute2x128_si256(temp[4], temp[21], 0x31);
      out[13] = _mm256_permute2x128_si256(temp[5], temp[13], 0x31);
      out[14] = _mm256_permute2x128_si256(temp[6], temp[23], 0x31);
      out[15] = _mm256_permute2x128_si256(temp[7], temp[15], 0x31);
      out[16] = _mm256_permute2x128_si256(temp[16], temp[25], 0x20);
      out[17] = _mm256_permute2x128_si256(temp[8], temp[24], 0x20);
      out[18] = _mm256_permute2x128_si256(temp[18], temp[27], 0x20);
      out[19] = _mm256_permute2x128_si256(temp[10], temp[26], 0x20);
      out[20] = _mm256_permute2x128_si256(temp[20], temp[29], 0x20);
      out[21] = _mm256_permute2x128_si256(temp[12], temp[28], 0x20);
      out[22] = _mm256_permute2x128_si256(temp[22], temp[31], 0x20);
      out[23] = _mm256_permute2x128_si256(temp[14], temp[30], 0x20);
      out[24] = _mm256_permute2x128_si256(temp[16], temp[25], 0x31);
      out[25] = _mm256_permute2x128_si256(temp[8], temp[24], 0x31);
      out[26] = _mm256_permute2x128_si256(temp[18], temp[27], 0x31);
      out[27] = _mm256_permute2x128_si256(temp[10], temp[26], 0x31);
      out[28] = _mm256_permute2x128_si256(temp[20], temp[29], 0x31);
      out[29] = _mm256_permute2x128_si256(temp[12], temp[28], 0x31);
      out[30] = _mm256_permute2x128_si256(temp[22], temp[31], 0x31);
      out[31] = _mm256_permute2x128_si256(temp[14], temp[30], 0x31);
  }
  
  static INLINE void transpose_32_8x8_avx2(int32_t stride, const __m256i *in,
      __m256i *out) {
      __m256i out1[8];
      __m256i temp0 = _mm256_unpacklo_epi32(in[0 * stride], in[2 * stride]);
      __m256i temp1 = _mm256_unpackhi_epi32(in[0 * stride], in[2 * stride]);
      __m256i temp2 = _mm256_unpacklo_epi32(in[1 * stride], in[3 * stride]);
      __m256i temp3 = _mm256_unpackhi_epi32(in[1 * stride], in[3 * stride]);
      __m256i temp4 = _mm256_unpacklo_epi32(in[4 * stride], in[6 * stride]);
      __m256i temp5 = _mm256_unpackhi_epi32(in[4 * stride], in[6 * stride]);
      __m256i temp6 = _mm256_unpacklo_epi32(in[5 * stride], in[7 * stride]);
      __m256i temp7 = _mm256_unpackhi_epi32(in[5 * stride], in[7 * stride]);
  
      out1[0] = _mm256_unpacklo_epi32(temp0, temp2);
      out1[1] = _mm256_unpackhi_epi32(temp0, temp2);
      out1[4] = _mm256_unpacklo_epi32(temp1, temp3);
      out1[5] = _mm256_unpackhi_epi32(temp1, temp3);
      out1[2] = _mm256_unpacklo_epi32(temp4, temp6);
      out1[3] = _mm256_unpackhi_epi32(temp4, temp6);
      out1[6] = _mm256_unpacklo_epi32(temp5, temp7);
      out1[7] = _mm256_unpackhi_epi32(temp5, temp7);
  
      out[0 * stride] = _mm256_permute2x128_si256(out1[0], out1[2], 0x20);
      out[1 * stride] = _mm256_permute2x128_si256(out1[1], out1[3], 0x20);
      out[2 * stride] = _mm256_permute2x128_si256(out1[4], out1[6], 0x20);
      out[3 * stride] = _mm256_permute2x128_si256(out1[5], out1[7], 0x20);
      out[4 * stride] = _mm256_permute2x128_si256(out1[0], out1[2], 0x31);
      out[5 * stride] = _mm256_permute2x128_si256(out1[1], out1[3], 0x31);
      out[6 * stride] = _mm256_permute2x128_si256(out1[4], out1[6], 0x31);
      out[7 * stride] = _mm256_permute2x128_si256(out1[5], out1[7], 0x31);
  }
  
  static INLINE void transpose_32_avx2(int32_t txfm_size, const __m256i *input,
      __m256i *output) {
      const int32_t num_per_256 = 8;
      const int32_t row_size = txfm_size;
      const int32_t col_size = txfm_size / num_per_256;
      int32_t r, c;
  
      // transpose each 8x8 block internally
      for (r = 0; r < row_size; r += 8) {
          for (c = 0; c < col_size; c++) {
              transpose_32_8x8_avx2(col_size, &input[r * col_size + c],
                  &output[c * 8 * col_size + r / 8]);
          }
      }
  }
  
  static INLINE void transpose_8nx8n(const __m256i *input, __m256i *output,
      const int32_t width, const int32_t height) {
      const int32_t numcol = height >> 3;
      const int32_t numrow = width >> 3;
      __m256i out1[8];
      for (int32_t j = 0; j < numrow; j++) {
          for (int32_t i = 0; i < numcol; i++) {
              TRANSPOSE_4X4_AVX2(input[i * width + j + (numrow * 0)],
                  input[i * width + j + (numrow * 1)],
                  input[i * width + j + (numrow * 2)],
                  input[i * width + j + (numrow * 3)],
                  out1[0], out1[1], out1[4], out1[5]);
              TRANSPOSE_4X4_AVX2(input[i * width + j + (numrow * 4)],
                  input[i * width + j + (numrow * 5)],
                  input[i * width + j + (numrow * 6)],
                  input[i * width + j + (numrow * 7)],
                  out1[2], out1[3], out1[6], out1[7]);
              output[j * height + i + (numcol * 0)] = _mm256_permute2x128_si256(out1[0], out1[2], 0x20);
              output[j * height + i + (numcol * 1)] = _mm256_permute2x128_si256(out1[1], out1[3], 0x20);
              output[j * height + i + (numcol * 2)] = _mm256_permute2x128_si256(out1[4], out1[6], 0x20);
              output[j * height + i + (numcol * 3)] = _mm256_permute2x128_si256(out1[5], out1[7], 0x20);
              output[j * height + i + (numcol * 4)] = _mm256_permute2x128_si256(out1[0], out1[2], 0x31);
              output[j * height + i + (numcol * 5)] = _mm256_permute2x128_si256(out1[1], out1[3], 0x31);
              output[j * height + i + (numcol * 6)] = _mm256_permute2x128_si256(out1[4], out1[6], 0x31);
              output[j * height + i + (numcol * 7)] = _mm256_permute2x128_si256(out1[5], out1[7], 0x31);
          }
      }
  }
  
  static INLINE void transpose_4x8_avx2(const __m256i *in, __m256i *out) {
  
      __m256i perm = _mm256_set_epi32(7, 3, 6, 2, 5, 1, 4, 0);
  
      TRANSPOSE_4X4_AVX2(in[0], in[1], in[2], in[3], out[0], out[1], out[2], out[3]);
      out[0] = _mm256_permutevar8x32_epi32(out[0], perm);
      out[1] = _mm256_permutevar8x32_epi32(out[1], perm);
      out[2] = _mm256_permutevar8x32_epi32(out[2], perm);
      out[3] = _mm256_permutevar8x32_epi32(out[3], perm);
  }
  
  static INLINE void transpose_4x16_avx2(const __m256i *in, __m256i *out) {
      __m256i perm = _mm256_set_epi32(7, 3, 6, 2, 5, 1, 4, 0);
  
      TRANSPOSE_4X4_AVX2(in[0], in[1], in[2], in[3], out[0], out[2], out[4], out[6]);
      TRANSPOSE_4X4_AVX2(in[4], in[5], in[6], in[7], out[1], out[3], out[5], out[7]);
  
      out[0] = _mm256_permutevar8x32_epi32(out[0], perm);
      out[1] = _mm256_permutevar8x32_epi32(out[1], perm);
      out[2] = _mm256_permutevar8x32_epi32(out[2], perm);
      out[3] = _mm256_permutevar8x32_epi32(out[3], perm);
      out[4] = _mm256_permutevar8x32_epi32(out[4], perm);
      out[5] = _mm256_permutevar8x32_epi32(out[5], perm);
      out[6] = _mm256_permutevar8x32_epi32(out[6], perm);
      out[7] = _mm256_permutevar8x32_epi32(out[7], perm);
  }
  
  // Note:
  //  rounding = 1 << (bit - 1)
  static INLINE __m256i half_btf_avx2(const __m256i *w0, const __m256i *n0,
      const __m256i *w1, const __m256i *n1,
      const __m256i *rounding, int32_t bit) {
      __m256i x, y;
  
      x = _mm256_mullo_epi32(*w0, *n0);
      y = _mm256_mullo_epi32(*w1, *n1);
      x = _mm256_add_epi32(x, y);
      x = _mm256_add_epi32(x, *rounding);
      x = _mm256_srai_epi32(x, bit);
      return x;
  }
  
  static INLINE __m128i half_btf_small(const __m128i *w0, const __m128i *n0,
      const __m128i *w1, const __m128i *n1,
      const __m128i *rounding, int32_t bit) {
      __m128i x, y;
  
      x = _mm_mullo_epi32(*w0, *n0);
      y = _mm_mullo_epi32(*w1, *n1);
      x = _mm_add_epi32(x, y);
      x = _mm_add_epi32(x, *rounding);
      x = _mm_srai_epi32(x, bit);
      return x;
  }
  
  // out0 = in0*w0 + in1*w1
  // out1 = -in1*w0 + in0*w1
  #define btf_32_avx2_type0(w0, w1, in0, in1, out0, out1, bit) \
    do {                                                         \
      const __m256i ww0 = _mm256_set1_epi32(w0);                    \
      const __m256i ww1 = _mm256_set1_epi32(w1);                    \
      const __m256i in0_w0 = _mm256_mullo_epi32(in0, ww0);          \
      const __m256i in1_w1 = _mm256_mullo_epi32(in1, ww1);          \
      out0 = _mm256_add_epi32(in0_w0, in1_w1);                      \
      out0 = av1_round_shift_32_avx2(out0, bit);               \
      const __m256i in0_w1 = _mm256_mullo_epi32(in0, ww1);          \
      const __m256i in1_w0 = _mm256_mullo_epi32(in1, ww0);          \
      out1 = _mm256_sub_epi32(in0_w1, in1_w0);                      \
      out1 = av1_round_shift_32_avx2(out1, bit);               \
        } while (0)
  
  // out0 = in0*w0 + in1*w1
  // out1 = in1*w0 - in0*w1
  #define btf_32_avx2_type1(w0, w1, in0, in1, out0, out1, bit) \
    do {                                                         \
      btf_32_avx2_type0(w1, w0, in1, in0, out0, out1, bit);    \
        } while (0)
  
  // out0 = in0*w0 + in1*w1
  // out1 = -in1*w0 + in0*w1
  #define btf_32_type0_avx2_new(ww0, ww1, in0, in1, out0, out1, r, bit) \
    do {                                                                  \
      const __m256i in0_w0 = _mm256_mullo_epi32(in0, ww0);                   \
      const __m256i in1_w1 = _mm256_mullo_epi32(in1, ww1);                   \
      out0 = _mm256_add_epi32(in0_w0, in1_w1);                               \
      out0 = _mm256_add_epi32(out0, r);                                      \
      out0 = _mm256_srai_epi32(out0, bit);                                   \
      const __m256i in0_w1 = _mm256_mullo_epi32(in0, ww1);                   \
      const __m256i in1_w0 = _mm256_mullo_epi32(in1, ww0);                   \
      out1 = _mm256_sub_epi32(in0_w1, in1_w0);                               \
      out1 = _mm256_add_epi32(out1, r);                                      \
      out1 = _mm256_srai_epi32(out1, bit);                                   \
      } while (0)
  
  // out0 = in0*w0 + in1*w1
  // out1 = in1*w0 - in0*w1
  #define btf_32_type1_avx2_new(ww0, ww1, in0, in1, out0, out1, r, bit) \
    do {                                                                  \
      btf_32_type0_avx2_new(ww1, ww0, in1, in0, out0, out1, r, bit);    \
      } while (0)
  
  static const int8_t *fwd_txfm_shift_ls[TX_SIZES_ALL] = {
      fwd_shift_4x4, fwd_shift_8x8, fwd_shift_16x16, fwd_shift_32x32,
      fwd_shift_64x64, fwd_shift_4x8, fwd_shift_8x4, fwd_shift_8x16,
      fwd_shift_16x8, fwd_shift_16x32, fwd_shift_32x16, fwd_shift_32x64,
      fwd_shift_64x32, fwd_shift_4x16, fwd_shift_16x4, fwd_shift_8x32,
      fwd_shift_32x8, fwd_shift_16x64, fwd_shift_64x16,
  };
  
  static INLINE void load_buffer_8x8(const int16_t *input, __m256i *in,
      int32_t stride, int32_t flipud, int32_t fliplr,
      int32_t shift) {
      __m128i temp[8];
      if (!flipud) {
          temp[0] = _mm_loadu_si128((const __m128i *)(input + 0 * stride));
          temp[1] = _mm_load_si128((const __m128i *)(input + 1 * stride));
          temp[2] = _mm_load_si128((const __m128i *)(input + 2 * stride));
          temp[3] = _mm_load_si128((const __m128i *)(input + 3 * stride));
          temp[4] = _mm_load_si128((const __m128i *)(input + 4 * stride));
          temp[5] = _mm_load_si128((const __m128i *)(input + 5 * stride));
          temp[6] = _mm_load_si128((const __m128i *)(input + 6 * stride));
          temp[7] = _mm_load_si128((const __m128i *)(input + 7 * stride));
      }
      else {
          temp[0] = _mm_load_si128((const __m128i *)(input + 7 * stride));
          temp[1] = _mm_load_si128((const __m128i *)(input + 6 * stride));
          temp[2] = _mm_load_si128((const __m128i *)(input + 5 * stride));
          temp[3] = _mm_load_si128((const __m128i *)(input + 4 * stride));
          temp[4] = _mm_load_si128((const __m128i *)(input + 3 * stride));
          temp[5] = _mm_load_si128((const __m128i *)(input + 2 * stride));
          temp[6] = _mm_load_si128((const __m128i *)(input + 1 * stride));
          temp[7] = _mm_load_si128((const __m128i *)(input + 0 * stride));
      }
  
      if (fliplr) {
          temp[0] = mm_reverse_epi16(temp[0]);
          temp[1] = mm_reverse_epi16(temp[1]);
          temp[2] = mm_reverse_epi16(temp[2]);
          temp[3] = mm_reverse_epi16(temp[3]);
          temp[4] = mm_reverse_epi16(temp[4]);
          temp[5] = mm_reverse_epi16(temp[5]);
          temp[6] = mm_reverse_epi16(temp[6]);
          temp[7] = mm_reverse_epi16(temp[7]);
      }
  
      in[0] = _mm256_cvtepi16_epi32(temp[0]);
      in[1] = _mm256_cvtepi16_epi32(temp[1]);
      in[2] = _mm256_cvtepi16_epi32(temp[2]);
      in[3] = _mm256_cvtepi16_epi32(temp[3]);
      in[4] = _mm256_cvtepi16_epi32(temp[4]);
      in[5] = _mm256_cvtepi16_epi32(temp[5]);
      in[6] = _mm256_cvtepi16_epi32(temp[6]);
      in[7] = _mm256_cvtepi16_epi32(temp[7]);
  
      in[0] = _mm256_slli_epi32(in[0], shift);
      in[1] = _mm256_slli_epi32(in[1], shift);
      in[2] = _mm256_slli_epi32(in[2], shift);
      in[3] = _mm256_slli_epi32(in[3], shift);
      in[4] = _mm256_slli_epi32(in[4], shift);
      in[5] = _mm256_slli_epi32(in[5], shift);
      in[6] = _mm256_slli_epi32(in[6], shift);
      in[7] = _mm256_slli_epi32(in[7], shift);
  }
  
  static INLINE void load_buffer_4x4_avx2(const int16_t *input, __m256i *in,
      int32_t stride, int32_t flipud, int32_t fliplr, int32_t shift) {
      if (!flipud) {
          in[0] = _mm256_setr_epi64x(*(uint64_t *)(input + 0 * stride),
              *(uint64_t *)(input + 1 * stride), 0, 0);
          in[1] = _mm256_setr_epi64x(*(uint64_t *)(input + 2 * stride),
              *(uint64_t *)(input + 3 * stride), 0, 0);
      }
      else {
          in[0] = _mm256_setr_epi64x(*(uint64_t *)(input + 3 * stride),
              *(uint64_t *)(input + 2 * stride), 0, 0);
          in[1] = _mm256_setr_epi64x(*(uint64_t *)(input + 1 * stride),
              *(uint64_t *)(input + 0 * stride), 0, 0);
      }
  
      if (fliplr) {
          in[0] = _mm256_shufflelo_epi16(in[0], 0x1b);
          in[0] = _mm256_shufflehi_epi16(in[0], 0x1b);
          in[1] = _mm256_shufflelo_epi16(in[1], 0x1b);
          in[1] = _mm256_shufflehi_epi16(in[1], 0x1b);
      }
  
      in[0] = _mm256_cvtepi16_epi32(_mm256_castsi256_si128(in[0]));
      in[1] = _mm256_cvtepi16_epi32(_mm256_castsi256_si128(in[1]));
  
      in[0] = _mm256_slli_epi32(in[0], shift);
      in[1] = _mm256_slli_epi32(in[1], shift);
  }
  
  static INLINE void load_buffer_4x8_avx2(const int16_t *input, __m256i *out,
      int32_t stride, int32_t flipud, int32_t fliplr,
      int32_t shift) {
      const int16_t *topL = input;
      const int16_t *botL = input + 4 * stride;
  
      if (flipud) {
          load_buffer_4x4_avx2(botL, out, stride, flipud, fliplr, shift);
          load_buffer_4x4_avx2(topL, out + 2, stride, flipud, fliplr, shift);
      }
      else {
          load_buffer_4x4_avx2(topL, out, stride, flipud, fliplr, shift);
          load_buffer_4x4_avx2(botL, out + 2, stride, flipud, fliplr, shift);
      }
  }
  
  static INLINE void load_buffer_8x4_avx2(const int16_t *input, __m256i *out,
      int32_t stride, int32_t flipud, int32_t fliplr, int32_t shift) {
      const int16_t *topL = input;
      const int16_t *topR = input + 4;
  
      if (fliplr) {
          load_buffer_4x4_avx2(topR, out, stride, flipud, fliplr, shift);
          load_buffer_4x4_avx2(topL, out + 2, stride, flipud, fliplr, shift);
      }
      else {
          load_buffer_4x4_avx2(topL, out, stride, flipud, fliplr, shift);
          load_buffer_4x4_avx2(topR, out + 2, stride, flipud, fliplr, shift);
      }
  }
  
  static INLINE void load_buffer_4x16_avx2(const int16_t *input, __m256i *out,
      const int32_t stride, const int32_t flipud,
      const int32_t fliplr, const int32_t shift) {
      const int16_t *topL = input;
      const int16_t *botL = input + 8 * stride;
  
      if (flipud) {
          load_buffer_4x8_avx2(botL, out, stride, flipud, fliplr, shift);
          load_buffer_4x8_avx2(topL, out + 4, stride, flipud, fliplr, shift);
      }
      else {
          load_buffer_4x8_avx2(topL, out, stride, flipud, fliplr, shift);
          load_buffer_4x8_avx2(botL, out + 4, stride, flipud, fliplr, shift);
      }
  }
  
  static INLINE void load_buffer_16x4_avx2(const int16_t *input, __m256i *out,
      int32_t stride, int32_t flipud, int32_t fliplr, int32_t shift) {
      const int16_t *topL = input;
      const int16_t *topR = input + 8;
  
      if (fliplr) {
          load_buffer_8x4_avx2(topR, out, stride, flipud, fliplr, shift);
          load_buffer_8x4_avx2(topL, out + 4, stride, flipud, fliplr, shift);
      }
      else {
          load_buffer_8x4_avx2(topL, out, stride, flipud, fliplr, shift);
          load_buffer_8x4_avx2(topR, out + 4, stride, flipud, fliplr, shift);
      }
  }
  
  static INLINE void col_txfm_8x8_rounding(__m256i *in, int32_t shift) {
      const __m256i rounding = _mm256_set1_epi32(1 << (shift - 1));
  
      in[0] = _mm256_add_epi32(in[0], rounding);
      in[1] = _mm256_add_epi32(in[1], rounding);
      in[2] = _mm256_add_epi32(in[2], rounding);
      in[3] = _mm256_add_epi32(in[3], rounding);
      in[4] = _mm256_add_epi32(in[4], rounding);
      in[5] = _mm256_add_epi32(in[5], rounding);
      in[6] = _mm256_add_epi32(in[6], rounding);
      in[7] = _mm256_add_epi32(in[7], rounding);
  
      in[0] = _mm256_srai_epi32(in[0], shift);
      in[1] = _mm256_srai_epi32(in[1], shift);
      in[2] = _mm256_srai_epi32(in[2], shift);
      in[3] = _mm256_srai_epi32(in[3], shift);
      in[4] = _mm256_srai_epi32(in[4], shift);
      in[5] = _mm256_srai_epi32(in[5], shift);
      in[6] = _mm256_srai_epi32(in[6], shift);
      in[7] = _mm256_srai_epi32(in[7], shift);
  }
  
  static void fidtx8x8_avx2(const __m256i *in, __m256i *out, int8_t bit, int32_t col_num) {
      (void)bit;
      out[0] = _mm256_slli_epi32(in[0 * col_num], 1);
      out[1] = _mm256_slli_epi32(in[1 * col_num], 1);
      out[2] = _mm256_slli_epi32(in[2 * col_num], 1);
      out[3] = _mm256_slli_epi32(in[3 * col_num], 1);
      out[4] = _mm256_slli_epi32(in[4 * col_num], 1);
      out[5] = _mm256_slli_epi32(in[5 * col_num], 1);
      out[6] = _mm256_slli_epi32(in[6 * col_num], 1);
      out[7] = _mm256_slli_epi32(in[7 * col_num], 1);
  }
  
  static INLINE void fidtx16x8_avx2(const __m256i *in, __m256i *out, int8_t bit, int32_t col_num) {
      (void)bit;
      const int32_t bits = 12;       // NewSqrt2Bits = 12
      const int32_t sqrt = 2 * 5793; // 2 * NewSqrt2
      const __m256i newsqrt = _mm256_set1_epi32(sqrt);
      const __m256i rounding = _mm256_set1_epi32(1 << (bits - 1));
      __m256i temp;
      int32_t num_iters = 8 * col_num;
      for (int32_t i = 0; i < num_iters; i++) {
          temp = _mm256_mullo_epi32(in[i], newsqrt);
          temp = _mm256_add_epi32(temp, rounding);
          out[i] = _mm256_srai_epi32(temp, bits);
      }
  }
  
  static INLINE void write_buffer_4x8(const __m256i *res, int32_t *output) {
      _mm256_storeu_si256((__m256i *)(output + 0 * 8), res[0]);
      _mm256_storeu_si256((__m256i *)(output + 1 * 8), res[1]);
      _mm256_storeu_si256((__m256i *)(output + 2 * 8), res[2]);
      _mm256_storeu_si256((__m256i *)(output + 3 * 8), res[3]);
  }
  
  static INLINE void write_buffer_8x8(const __m256i *res, int32_t *output) {
      _mm256_storeu_si256((__m256i *)(output + 0 * 8), res[0]);
      _mm256_storeu_si256((__m256i *)(output + 1 * 8), res[1]);
      _mm256_storeu_si256((__m256i *)(output + 2 * 8), res[2]);
      _mm256_storeu_si256((__m256i *)(output + 3 * 8), res[3]);
  
      _mm256_storeu_si256((__m256i *)(output + 4 * 8), res[4]);
      _mm256_storeu_si256((__m256i *)(output + 5 * 8), res[5]);
      _mm256_storeu_si256((__m256i *)(output + 6 * 8), res[6]);
      _mm256_storeu_si256((__m256i *)(output + 7 * 8), res[7]);
  }
  
  static void fdct8x8_avx2(const __m256i *in, __m256i *out, int8_t bit, const int32_t col_num) {
      const int32_t *cospi = cospi_arr(bit);
      const __m256i cospi32 = _mm256_set1_epi32(cospi[32]);
      const __m256i cospim32 = _mm256_set1_epi32(-cospi[32]);
      const __m256i cospi48 = _mm256_set1_epi32(cospi[48]);
      const __m256i cospi16 = _mm256_set1_epi32(cospi[16]);
      const __m256i cospi56 = _mm256_set1_epi32(cospi[56]);
      const __m256i cospi8 = _mm256_set1_epi32(cospi[8]);
      const __m256i cospi24 = _mm256_set1_epi32(cospi[24]);
      const __m256i cospi40 = _mm256_set1_epi32(cospi[40]);
      const __m256i rnding = _mm256_set1_epi32(1 << (bit - 1));
      __m256i u[8], v[8];
  
      // stage 0
      // stage 1
      u[0] = _mm256_add_epi32(in[0 * col_num], in[7 * col_num]);
      v[7] = _mm256_sub_epi32(in[0 * col_num], in[7 * col_num]);
      u[1] = _mm256_add_epi32(in[1 * col_num], in[6 * col_num]);
      u[6] = _mm256_sub_epi32(in[1 * col_num], in[6 * col_num]);
      u[2] = _mm256_add_epi32(in[2 * col_num], in[5 * col_num]);
      u[5] = _mm256_sub_epi32(in[2 * col_num], in[5 * col_num]);
      u[3] = _mm256_add_epi32(in[3 * col_num], in[4 * col_num]);
      v[4] = _mm256_sub_epi32(in[3 * col_num], in[4 * col_num]);
  
      // stage 2
      v[0] = _mm256_add_epi32(u[0], u[3]);
      v[3] = _mm256_sub_epi32(u[0], u[3]);
      v[1] = _mm256_add_epi32(u[1], u[2]);
      v[2] = _mm256_sub_epi32(u[1], u[2]);
  
      v[5] = _mm256_mullo_epi32(u[5], cospim32);
      v[6] = _mm256_mullo_epi32(u[6], cospi32);
      v[5] = _mm256_add_epi32(v[5], v[6]);
      v[5] = _mm256_add_epi32(v[5], rnding);
      v[5] = _mm256_srai_epi32(v[5], bit);
  
      u[0] = _mm256_mullo_epi32(u[5], cospi32);
      v[6] = _mm256_mullo_epi32(u[6], cospim32);
      v[6] = _mm256_sub_epi32(u[0], v[6]);
      v[6] = _mm256_add_epi32(v[6], rnding);
      v[6] = _mm256_srai_epi32(v[6], bit);
  
      // stage 3
      // type 0
      v[0] = _mm256_mullo_epi32(v[0], cospi32);
      v[1] = _mm256_mullo_epi32(v[1], cospi32);
      u[0] = _mm256_add_epi32(v[0], v[1]);
      u[0] = _mm256_add_epi32(u[0], rnding);
      u[0] = _mm256_srai_epi32(u[0], bit);
  
      u[1] = _mm256_sub_epi32(v[0], v[1]);
      u[1] = _mm256_add_epi32(u[1], rnding);
      u[1] = _mm256_srai_epi32(u[1], bit);
  
      // type 1
      v[0] = _mm256_mullo_epi32(v[2], cospi48);
      v[1] = _mm256_mullo_epi32(v[3], cospi16);
      u[2] = _mm256_add_epi32(v[0], v[1]);
      u[2] = _mm256_add_epi32(u[2], rnding);
      u[2] = _mm256_srai_epi32(u[2], bit);
  
      v[0] = _mm256_mullo_epi32(v[2], cospi16);
      v[1] = _mm256_mullo_epi32(v[3], cospi48);
      u[3] = _mm256_sub_epi32(v[1], v[0]);
      u[3] = _mm256_add_epi32(u[3], rnding);
      u[3] = _mm256_srai_epi32(u[3], bit);
  
      u[4] = _mm256_add_epi32(v[4], v[5]);
      u[5] = _mm256_sub_epi32(v[4], v[5]);
      u[6] = _mm256_sub_epi32(v[7], v[6]);
      u[7] = _mm256_add_epi32(v[7], v[6]);
  
      // stage 4
      // stage 5
      v[0] = _mm256_mullo_epi32(u[4], cospi56);
      v[1] = _mm256_mullo_epi32(u[7], cospi8);
      v[0] = _mm256_add_epi32(v[0], v[1]);
      v[0] = _mm256_add_epi32(v[0], rnding);
      out[1 * col_num] = _mm256_srai_epi32(v[0], bit);
  
      v[0] = _mm256_mullo_epi32(u[4], cospi8);
      v[1] = _mm256_mullo_epi32(u[7], cospi56);
      v[0] = _mm256_sub_epi32(v[1], v[0]);
      v[0] = _mm256_add_epi32(v[0], rnding);
      out[7 * col_num] = _mm256_srai_epi32(v[0], bit);
  
      v[0] = _mm256_mullo_epi32(u[5], cospi24);
      v[1] = _mm256_mullo_epi32(u[6], cospi40);
      v[0] = _mm256_add_epi32(v[0], v[1]);
      v[0] = _mm256_add_epi32(v[0], rnding);
      out[5 * col_num] = _mm256_srai_epi32(v[0], bit);
  
      v[0] = _mm256_mullo_epi32(u[5], cospi40);
      v[1] = _mm256_mullo_epi32(u[6], cospi24);
      v[0] = _mm256_sub_epi32(v[1], v[0]);
      v[0] = _mm256_add_epi32(v[0], rnding);
      out[3 * col_num] = _mm256_srai_epi32(v[0], bit);
  
      out[0 * col_num] = u[0];
      out[4 * col_num] = u[1];
      out[2 * col_num] = u[2];
      out[6 * col_num] = u[3];
  }
  
  static void fadst8x8_avx2(const __m256i *in, __m256i *out, int8_t bit, const int32_t col_num) {
      const int32_t *cospi = cospi_arr(bit);
      const __m256i cospi32 = _mm256_set1_epi32(cospi[32]);
      const __m256i cospi16 = _mm256_set1_epi32(cospi[16]);
      const __m256i cospim16 = _mm256_set1_epi32(-cospi[16]);
      const __m256i cospi48 = _mm256_set1_epi32(cospi[48]);
      const __m256i cospim48 = _mm256_set1_epi32(-cospi[48]);
      const __m256i cospi4 = _mm256_set1_epi32(cospi[4]);
      const __m256i cospim4 = _mm256_set1_epi32(-cospi[4]);
      const __m256i cospi60 = _mm256_set1_epi32(cospi[60]);
      const __m256i cospi20 = _mm256_set1_epi32(cospi[20]);
      const __m256i cospim20 = _mm256_set1_epi32(-cospi[20]);
      const __m256i cospi44 = _mm256_set1_epi32(cospi[44]);
      const __m256i cospi28 = _mm256_set1_epi32(cospi[28]);
      const __m256i cospi36 = _mm256_set1_epi32(cospi[36]);
      const __m256i cospim36 = _mm256_set1_epi32(-cospi[36]);
      const __m256i cospi52 = _mm256_set1_epi32(cospi[52]);
      const __m256i cospim52 = _mm256_set1_epi32(-cospi[52]);
      const __m256i cospi12 = _mm256_set1_epi32(cospi[12]);
      const __m256i rnding = _mm256_set1_epi32(1 << (bit - 1));
      const __m256i zero = _mm256_setzero_si256();
      __m256i u0, u1, u2, u3, u4, u5, u6, u7;
      __m256i v0, v1, v2, v3, v4, v5, v6, v7;
      __m256i x, y;
  
      u0 = in[0 * col_num];
      u1 = _mm256_sub_epi32(zero, in[7 * col_num]);
      u2 = _mm256_sub_epi32(zero, in[3 * col_num]);
      u3 = in[4 * col_num];
      u4 = _mm256_sub_epi32(zero, in[1 * col_num]);
      u5 = in[6 * col_num];
      u6 = in[2 * col_num];
      u7 = _mm256_sub_epi32(zero, in[5 * col_num]);
  
      // stage 2
      v0 = u0;
      v1 = u1;
  
      x = _mm256_mullo_epi32(u2, cospi32);
      y = _mm256_mullo_epi32(u3, cospi32);
      v2 = _mm256_add_epi32(x, y);
      v2 = _mm256_add_epi32(v2, rnding);
      v2 = _mm256_srai_epi32(v2, bit);
  
      v3 = _mm256_sub_epi32(x, y);
      v3 = _mm256_add_epi32(v3, rnding);
      v3 = _mm256_srai_epi32(v3, bit);
  
      v4 = u4;
      v5 = u5;
  
      x = _mm256_mullo_epi32(u6, cospi32);
      y = _mm256_mullo_epi32(u7, cospi32);
      v6 = _mm256_add_epi32(x, y);
      v6 = _mm256_add_epi32(v6, rnding);
      v6 = _mm256_srai_epi32(v6, bit);
  
      v7 = _mm256_sub_epi32(x, y);
      v7 = _mm256_add_epi32(v7, rnding);
      v7 = _mm256_srai_epi32(v7, bit);
  
      // stage 3
      u0 = _mm256_add_epi32(v0, v2);
      u1 = _mm256_add_epi32(v1, v3);
      u2 = _mm256_sub_epi32(v0, v2);
      u3 = _mm256_sub_epi32(v1, v3);
      u4 = _mm256_add_epi32(v4, v6);
      u5 = _mm256_add_epi32(v5, v7);
      u6 = _mm256_sub_epi32(v4, v6);
      u7 = _mm256_sub_epi32(v5, v7);
  
      // stage 4
      v0 = u0;
      v1 = u1;
      v2 = u2;
      v3 = u3;
  
      x = _mm256_mullo_epi32(u4, cospi16);
      y = _mm256_mullo_epi32(u5, cospi48);
      v4 = _mm256_add_epi32(x, y);
      v4 = _mm256_add_epi32(v4, rnding);
      v4 = _mm256_srai_epi32(v4, bit);
  
      x = _mm256_mullo_epi32(u4, cospi48);
      y = _mm256_mullo_epi32(u5, cospim16);
      v5 = _mm256_add_epi32(x, y);
      v5 = _mm256_add_epi32(v5, rnding);
      v5 = _mm256_srai_epi32(v5, bit);
  
      x = _mm256_mullo_epi32(u6, cospim48);
      y = _mm256_mullo_epi32(u7, cospi16);
      v6 = _mm256_add_epi32(x, y);
      v6 = _mm256_add_epi32(v6, rnding);
      v6 = _mm256_srai_epi32(v6, bit);
  
      x = _mm256_mullo_epi32(u6, cospi16);
      y = _mm256_mullo_epi32(u7, cospi48);
      v7 = _mm256_add_epi32(x, y);
      v7 = _mm256_add_epi32(v7, rnding);
      v7 = _mm256_srai_epi32(v7, bit);
  
      // stage 5
      u0 = _mm256_add_epi32(v0, v4);
      u1 = _mm256_add_epi32(v1, v5);
      u2 = _mm256_add_epi32(v2, v6);
      u3 = _mm256_add_epi32(v3, v7);
      u4 = _mm256_sub_epi32(v0, v4);
      u5 = _mm256_sub_epi32(v1, v5);
      u6 = _mm256_sub_epi32(v2, v6);
      u7 = _mm256_sub_epi32(v3, v7);
  
      // stage 6
      x = _mm256_mullo_epi32(u0, cospi4);
      y = _mm256_mullo_epi32(u1, cospi60);
      v0 = _mm256_add_epi32(x, y);
      v0 = _mm256_add_epi32(v0, rnding);
      v0 = _mm256_srai_epi32(v0, bit);
  
      x = _mm256_mullo_epi32(u0, cospi60);
      y = _mm256_mullo_epi32(u1, cospim4);
      v1 = _mm256_add_epi32(x, y);
      v1 = _mm256_add_epi32(v1, rnding);
      v1 = _mm256_srai_epi32(v1, bit);
  
      x = _mm256_mullo_epi32(u2, cospi20);
      y = _mm256_mullo_epi32(u3, cospi44);
      v2 = _mm256_add_epi32(x, y);
      v2 = _mm256_add_epi32(v2, rnding);
      v2 = _mm256_srai_epi32(v2, bit);
  
      x = _mm256_mullo_epi32(u2, cospi44);
      y = _mm256_mullo_epi32(u3, cospim20);
      v3 = _mm256_add_epi32(x, y);
      v3 = _mm256_add_epi32(v3, rnding);
      v3 = _mm256_srai_epi32(v3, bit);
  
      x = _mm256_mullo_epi32(u4, cospi36);
      y = _mm256_mullo_epi32(u5, cospi28);
      v4 = _mm256_add_epi32(x, y);
      v4 = _mm256_add_epi32(v4, rnding);
      v4 = _mm256_srai_epi32(v4, bit);
  
      x = _mm256_mullo_epi32(u4, cospi28);
      y = _mm256_mullo_epi32(u5, cospim36);
      v5 = _mm256_add_epi32(x, y);
      v5 = _mm256_add_epi32(v5, rnding);
      v5 = _mm256_srai_epi32(v5, bit);
  
      x = _mm256_mullo_epi32(u6, cospi52);
      y = _mm256_mullo_epi32(u7, cospi12);
      v6 = _mm256_add_epi32(x, y);
      v6 = _mm256_add_epi32(v6, rnding);
      v6 = _mm256_srai_epi32(v6, bit);
  
      x = _mm256_mullo_epi32(u6, cospi12);
      y = _mm256_mullo_epi32(u7, cospim52);
      v7 = _mm256_add_epi32(x, y);
      v7 = _mm256_add_epi32(v7, rnding);
      v7 = _mm256_srai_epi32(v7, bit);
  
      // stage 7
      out[0 * col_num] = v1;
      out[1 * col_num] = v6;
      out[2 * col_num] = v3;
      out[3 * col_num] = v4;
      out[4 * col_num] = v5;
      out[5 * col_num] = v2;
      out[6 * col_num] = v7;
      out[7 * col_num] = v0;
  }
  
  void av1_fwd_txfm2d_8x8_avx2(int16_t *input, int32_t *coeff, uint32_t stride, TxType tx_type, uint8_t  bd)
  {
      __m256i in[8], out[8];
      const int8_t *shift = fwd_txfm_shift_ls[TX_8X8];
      const int32_t txw_idx = get_txw_idx(TX_8X8);
      const int32_t txh_idx = get_txh_idx(TX_8X8);
  
      switch (tx_type) {
      case DCT_DCT:
          load_buffer_8x8(input, in, stride, 0, 0, shift[0]);
          fdct8x8_avx2(in, out, fwd_cos_bit_col[txw_idx][txh_idx], 1);
          col_txfm_8x8_rounding(out, -shift[1]);
          transpose_8x8_avx2(out, in);
          fdct8x8_avx2(in, out, fwd_cos_bit_row[txw_idx][txh_idx], 1);
          transpose_8x8_avx2(out, in);
          write_buffer_8x8(in, coeff);
          break;
      case ADST_DCT:
          load_buffer_8x8(input, in, stride, 0, 0, shift[0]);
          fadst8x8_avx2(in, out, fwd_cos_bit_col[txw_idx][txh_idx], 1);
          col_txfm_8x8_rounding(out, -shift[1]);
          transpose_8x8_avx2(out, in);
          fdct8x8_avx2(in, out, fwd_cos_bit_row[txw_idx][txh_idx], 1);
          transpose_8x8_avx2(out, in);
          write_buffer_8x8(in, coeff);
          break;
      case DCT_ADST:
          load_buffer_8x8(input, in, stride, 0, 0, shift[0]);
          fdct8x8_avx2(in, out, fwd_cos_bit_col[txw_idx][txh_idx], 1);
          col_txfm_8x8_rounding(out, -shift[1]);
          transpose_8x8_avx2(out, in);
          fadst8x8_avx2(in, out, fwd_cos_bit_row[txw_idx][txh_idx], 1);
          transpose_8x8_avx2(out, in);
          write_buffer_8x8(in, coeff);
          break;
      case ADST_ADST:
          load_buffer_8x8(input, in, stride, 0, 0, shift[0]);
          fadst8x8_avx2(in, out, fwd_cos_bit_col[txw_idx][txh_idx], 1);
          col_txfm_8x8_rounding(out, -shift[1]);
          transpose_8x8_avx2(out, in);
          fadst8x8_avx2(in, out, fwd_cos_bit_row[txw_idx][txh_idx], 1);
          transpose_8x8_avx2(out, in);
          write_buffer_8x8(in, coeff);
          break;
      case FLIPADST_DCT:
          load_buffer_8x8(input, in, stride, 1, 0, shift[0]);
          fadst8x8_avx2(in, out, fwd_cos_bit_col[txw_idx][txh_idx], 1);
          col_txfm_8x8_rounding(out, -shift[1]);
          transpose_8x8_avx2(out, in);
          fdct8x8_avx2(in, out, fwd_cos_bit_row[txw_idx][txh_idx], 1);
          transpose_8x8_avx2(out, in);
          write_buffer_8x8(in, coeff);
          break;
      case DCT_FLIPADST:
          load_buffer_8x8(input, in, stride, 0, 1, shift[0]);
          fdct8x8_avx2(in, out, fwd_cos_bit_col[txw_idx][txh_idx], 1);
          col_txfm_8x8_rounding(out, -shift[1]);
          transpose_8x8_avx2(out, in);
          fadst8x8_avx2(in, out, fwd_cos_bit_row[txw_idx][txh_idx], 1);
          transpose_8x8_avx2(out, in);
          write_buffer_8x8(in, coeff);
          break;
      case FLIPADST_FLIPADST:
          load_buffer_8x8(input, in, stride, 1, 1, shift[0]);
          fadst8x8_avx2(in, out, fwd_cos_bit_col[txw_idx][txh_idx], 1);
          col_txfm_8x8_rounding(out, -shift[1]);
          transpose_8x8_avx2(out, in);
          fadst8x8_avx2(in, out, fwd_cos_bit_row[txw_idx][txh_idx], 1);
          transpose_8x8_avx2(out, in);
          write_buffer_8x8(in, coeff);
          break;
      case ADST_FLIPADST:
          load_buffer_8x8(input, in, stride, 0, 1, shift[0]);
          fadst8x8_avx2(in, out, fwd_cos_bit_col[txw_idx][txh_idx], 1);
          col_txfm_8x8_rounding(out, -shift[1]);
          transpose_8x8_avx2(out, in);
          fadst8x8_avx2(in, out, fwd_cos_bit_row[txw_idx][txh_idx], 1);
          transpose_8x8_avx2(out, in);
          write_buffer_8x8(in, coeff);
          break;
      case FLIPADST_ADST:
          load_buffer_8x8(input, in, stride, 1, 0, shift[0]);
          fadst8x8_avx2(in, out, fwd_cos_bit_col[txw_idx][txh_idx], 1);
          col_txfm_8x8_rounding(out, -shift[1]);
          transpose_8x8_avx2(out, in);
          fadst8x8_avx2(in, out, fwd_cos_bit_row[txw_idx][txh_idx], 1);
          transpose_8x8_avx2(out, in);
          write_buffer_8x8(in, coeff);
          break;
      case IDTX:
          load_buffer_8x8(input, in, stride, 0, 0, shift[0]);
          fidtx8x8_avx2(in, out, fwd_cos_bit_col[txw_idx][txh_idx], 1);
          col_txfm_8x8_rounding(out, -shift[1]);
          fidtx8x8_avx2(out, out, fwd_cos_bit_row[txw_idx][txh_idx], 1);
          write_buffer_8x8(out, coeff);
          break;
      case V_DCT:
          load_buffer_8x8(input, in, stride, 0, 0, shift[0]);
          fdct8x8_avx2(in, out, fwd_cos_bit_col[txw_idx][txh_idx], 1);
          col_txfm_8x8_rounding(out, -shift[1]);
          fidtx8x8_avx2(out, out, fwd_cos_bit_row[txw_idx][txh_idx], 1);
          write_buffer_8x8(out, coeff);
          break;
      case H_DCT:
          load_buffer_8x8(input, in, stride, 0, 0, shift[0]);
          fidtx8x8_avx2(in, in, fwd_cos_bit_col[txw_idx][txh_idx], 1);
          col_txfm_8x8_rounding(in, -shift[1]);
          transpose_8x8_avx2(in, out);
          fdct8x8_avx2(out, in, fwd_cos_bit_row[txw_idx][txh_idx], 1);
          transpose_8x8_avx2(in, out);
          write_buffer_8x8(out, coeff);
          break;
      case V_ADST:
          load_buffer_8x8(input, in, stride, 0, 0, shift[0]);
          fadst8x8_avx2(in, out, fwd_cos_bit_col[txw_idx][txh_idx], 1);
          col_txfm_8x8_rounding(out, -shift[1]);
          fidtx8x8_avx2(out, out, fwd_cos_bit_row[txw_idx][txh_idx], 1);
          write_buffer_8x8(out, coeff);
          break;
      case H_ADST:
          load_buffer_8x8(input, in, stride, 0, 0, shift[0]);
          fidtx8x8_avx2(in, in, fwd_cos_bit_col[txw_idx][txh_idx], 1);
          col_txfm_8x8_rounding(in, -shift[1]);
          transpose_8x8_avx2(in, out);
          fadst8x8_avx2(out, in, fwd_cos_bit_row[txw_idx][txh_idx], 1);
          transpose_8x8_avx2(in, out);
          write_buffer_8x8(out, coeff);
          break;
      case V_FLIPADST:
          load_buffer_8x8(input, in, stride, 1, 0, shift[0]);
          fadst8x8_avx2(in, out, fwd_cos_bit_col[txw_idx][txh_idx], 1);
          col_txfm_8x8_rounding(out, -shift[1]);
          fidtx8x8_avx2(out, out, fwd_cos_bit_row[txw_idx][txh_idx], 1);
          write_buffer_8x8(out, coeff);
          break;
      case H_FLIPADST:
          load_buffer_8x8(input, in, stride, 0, 1, shift[0]);
          fidtx8x8_avx2(in, in, fwd_cos_bit_col[txw_idx][txh_idx], 1);
          col_txfm_8x8_rounding(in, -shift[1]);
          transpose_8x8_avx2(in, out);
          fadst8x8_avx2(out, in, fwd_cos_bit_row[txw_idx][txh_idx], 1);
          transpose_8x8_avx2(in, out);
          write_buffer_8x8(out, coeff);
          break;
      default: assert(0);
      }
      (void)bd;
  }
  
  static INLINE void convert_8x8_to_16x16(const __m256i *in, __m256i *out) {
      int32_t row_index = 0;
      int32_t dst_index = 0;
      int32_t src_index = 0;
  
      // row 0, 1, .., 7
      do {
          out[dst_index] = in[src_index];
          out[dst_index + 1] = in[src_index + 8];
          dst_index += 2;
          src_index += 1;
          row_index += 1;
      } while (row_index < 8);
  
      // row 8, 9, ..., 15
      src_index += 8;
      do {
          out[dst_index] = in[src_index];
          out[dst_index + 1] = in[src_index + 8];
          dst_index += 2;
          src_index += 1;
          row_index += 1;
      } while (row_index < 16);
  }
  
  
  static INLINE void load_buffer_16x16(const int16_t *input, __m256i *out,
      int32_t stride, int32_t flipud, int32_t fliplr, int32_t shift) {
      __m256i in[32];
      // Load 4 8x8 blocks
      const int16_t *topL = input;
      const int16_t *topR = input + 8;
      const int16_t *botL = input + 8 * stride;
      const int16_t *botR = input + 8 * stride + 8;
  
      const int16_t *tmp;
  
      if (flipud) {
          // Swap left columns
          tmp = topL;
          topL = botL;
          botL = tmp;
          // Swap right columns
          tmp = topR;
          topR = botR;
          botR = tmp;
      }
  
      if (fliplr) {
          // Swap top rows
          tmp = topL;
          topL = topR;
          topR = tmp;
          // Swap bottom rows
          tmp = botL;
          botL = botR;
          botR = tmp;
      }
  
      // load first 8 columns
      load_buffer_8x8(topL, &in[0], stride, flipud, fliplr, shift);
      load_buffer_8x8(botL, &in[16], stride, flipud, fliplr, shift);
  
      // load second 8 columns
      load_buffer_8x8(topR, &in[8], stride, flipud, fliplr, shift);
      load_buffer_8x8(botR, &in[24], stride, flipud, fliplr, shift);
  
      convert_8x8_to_16x16(in, out);
  }
  
  static INLINE void col_txfm_16x16_rounding(__m256i *in, int32_t shift) {
      col_txfm_8x8_rounding(&in[0], shift);
      col_txfm_8x8_rounding(&in[8], shift);
      col_txfm_8x8_rounding(&in[16], shift);
      col_txfm_8x8_rounding(&in[24], shift);
  
  }
  
  
  static void fidtx16x16_avx2(const __m256i *in, __m256i *out, int8_t bit, int32_t col_num) {
      (void)bit;
      const int32_t bits = 12;       // NewSqrt2Bits = 12
      const int32_t sqrt = 2 * 5793; // 2 * NewSqrt2
      const __m256i newsqrt = _mm256_set1_epi32(sqrt);
      const __m256i rounding = _mm256_set1_epi32(1 << (bits - 1));
      __m256i temp;
      int32_t num_iters = 16 * col_num;
      for (int32_t i = 0; i < num_iters; i++) {
          temp = _mm256_mullo_epi32(in[i], newsqrt);
          temp = _mm256_add_epi32(temp, rounding);
          out[i] = _mm256_srai_epi32(temp, bits);
      }
  }
  
  static INLINE void write_buffer_16x16(const __m256i *res, int32_t *output) {
      int32_t fact = -1, index = -1;
      for (int32_t i = 0; i < 8; i++)
      {
          _mm256_store_si256((__m256i *)(output + (++fact) * 16), res[++index]);
          _mm256_store_si256((__m256i *)(output + (fact) * 16 + 8), res[++index]);
          _mm256_store_si256((__m256i *)(output + (++fact) * 16), res[++index]);
          _mm256_store_si256((__m256i *)(output + (fact) * 16 + 8), res[++index]);
      }
  }
  
  static INLINE void fdct4x8_row_avx2(__m256i *input, __m256i *output, int32_t bit,
      const int32_t num_col) {
      const int32_t *cospi = cospi_arr(bit);
      const __m256i cospi32 = _mm256_set1_epi32(cospi[32]);
      const __m256i cospi48 = _mm256_set1_epi32(cospi[48]);
      const __m256i cospi16 = _mm256_set1_epi32(cospi[16]);
      const __m256i rnding = _mm256_set1_epi32(1 << (bit - 1));
      __m256i in[4];
      __m256i out[4];
      __m256i s0, s1, s2, s3;
      __m256i u0, u1, u2, u3;
      __m256i v0, v1, v2, v3;
      int32_t endidx = 3 * num_col;
  
      in[0] = _mm256_permute2x128_si256(input[0], input[2], 0x20);
      in[1] = _mm256_permute2x128_si256(input[0], input[2], 0x31);
      in[2] = _mm256_permute2x128_si256(input[1], input[3], 0x20);
      in[3] = _mm256_permute2x128_si256(input[1], input[3], 0x31);
  
      s0 = _mm256_add_epi32(in[0], in[endidx]);
      s3 = _mm256_sub_epi32(in[0], in[endidx]);
      endidx -= num_col;
      s1 = _mm256_add_epi32(in[num_col], in[endidx]);
      s2 = _mm256_sub_epi32(in[num_col], in[endidx]);
  
      // btf_32_sse4_1_type0(cospi32, cospi32, s[01], u[02], bit);
      u0 = _mm256_mullo_epi32(s0, cospi32);
      u1 = _mm256_mullo_epi32(s1, cospi32);
      u2 = _mm256_add_epi32(u0, u1);
      v0 = _mm256_sub_epi32(u0, u1);
  
      u3 = _mm256_add_epi32(u2, rnding);
      v1 = _mm256_add_epi32(v0, rnding);
  
      u0 = _mm256_srai_epi32(u3, bit);
      u2 = _mm256_srai_epi32(v1, bit);
  
      // btf_32_sse4_1_type1(cospi48, cospi16, s[23], u[13], bit);
      v0 = _mm256_mullo_epi32(s2, cospi48);
      v1 = _mm256_mullo_epi32(s3, cospi16);
      v2 = _mm256_add_epi32(v0, v1);
  
      v3 = _mm256_add_epi32(v2, rnding);
      u1 = _mm256_srai_epi32(v3, bit);
  
      v0 = _mm256_mullo_epi32(s2, cospi16);
      v1 = _mm256_mullo_epi32(s3, cospi48);
      v2 = _mm256_sub_epi32(v1, v0);
  
      v3 = _mm256_add_epi32(v2, rnding);
      u3 = _mm256_srai_epi32(v3, bit);
  
      // Note: shift[1] and shift[2] are zeros
  
      // Transpose 4x4 32-bit
      v0 = _mm256_unpacklo_epi32(u0, u1);
      v1 = _mm256_unpackhi_epi32(u0, u1);
      v2 = _mm256_unpacklo_epi32(u2, u3);
      v3 = _mm256_unpackhi_epi32(u2, u3);
  
      out[0] = _mm256_unpacklo_epi64(v0, v2);
      out[1] = _mm256_unpackhi_epi64(v0, v2);
      out[2] = _mm256_unpacklo_epi64(v1, v3);
      out[3] = _mm256_unpackhi_epi64(v1, v3);
  
      output[0] = _mm256_permute2x128_si256(out[0], out[1], 0x20);
      output[1] = _mm256_permute2x128_si256(out[2], out[3], 0x20);
      output[2] = _mm256_permute2x128_si256(out[0], out[1], 0x31);
      output[3] = _mm256_permute2x128_si256(out[2], out[3], 0x31);
  }
  
  static INLINE void fdct4x8_col_avx2(__m256i *in, __m256i *output, int32_t bit,
      const int32_t num_col) {
      const int32_t *cospi = cospi_arr(bit);
      const __m256i cospi32 = _mm256_set1_epi32(cospi[32]);
      const __m256i cospi48 = _mm256_set1_epi32(cospi[48]);
      const __m256i cospi16 = _mm256_set1_epi32(cospi[16]);
      const __m256i rnding = _mm256_set1_epi32(1 << (bit - 1));
      __m256i s0, s1, s2, s3;
      __m256i u0, u1, u2, u3;
      __m256i v0, v1, v2, v3;
      __m256i out[4];
  
      int32_t endidx = 3 * num_col;
      s0 = _mm256_add_epi32(in[0], in[endidx]);
      s3 = _mm256_sub_epi32(in[0], in[endidx]);
      endidx -= num_col;
      s1 = _mm256_add_epi32(in[num_col], in[endidx]);
      s2 = _mm256_sub_epi32(in[num_col], in[endidx]);
  
      // btf_32_sse4_1_type0(cospi32, cospi32, s[01], u[02], bit);
      u0 = _mm256_mullo_epi32(s0, cospi32);
      u1 = _mm256_mullo_epi32(s1, cospi32);
      u2 = _mm256_add_epi32(u0, u1);
      v0 = _mm256_sub_epi32(u0, u1);
  
      u3 = _mm256_add_epi32(u2, rnding);
      v1 = _mm256_add_epi32(v0, rnding);
  
      u0 = _mm256_srai_epi32(u3, bit);
      u2 = _mm256_srai_epi32(v1, bit);
  
      // btf_32_sse4_1_type1(cospi48, cospi16, s[23], u[13], bit);
      v0 = _mm256_mullo_epi32(s2, cospi48);
      v1 = _mm256_mullo_epi32(s3, cospi16);
      v2 = _mm256_add_epi32(v0, v1);
  
      v3 = _mm256_add_epi32(v2, rnding);
      u1 = _mm256_srai_epi32(v3, bit);
  
      v0 = _mm256_mullo_epi32(s2, cospi16);
      v1 = _mm256_mullo_epi32(s3, cospi48);
      v2 = _mm256_sub_epi32(v1, v0);
  
      v3 = _mm256_add_epi32(v2, rnding);
      u3 = _mm256_srai_epi32(v3, bit);
  
      // Note: shift[1] and shift[2] are zeros
  
      // Transpose 4x4 32-bit
      v0 = _mm256_unpacklo_epi32(u0, u1);
      v1 = _mm256_unpackhi_epi32(u0, u1);
      v2 = _mm256_unpacklo_epi32(u2, u3);
      v3 = _mm256_unpackhi_epi32(u2, u3);
  
      out[0] = _mm256_unpacklo_epi64(v0, v2);
      out[1] = _mm256_unpackhi_epi64(v0, v2);
      out[2] = _mm256_unpacklo_epi64(v1, v3);
      out[3] = _mm256_unpackhi_epi64(v1, v3);
  
      output[0] = _mm256_permute2x128_si256(out[0], out[1], 0x20);
      output[1] = _mm256_permute2x128_si256(out[2], out[3], 0x20);
      output[2] = _mm256_permute2x128_si256(out[0], out[1], 0x31);
      output[3] = _mm256_permute2x128_si256(out[2], out[3], 0x31);
  }
  
  static INLINE void fdct16x4_avx2(__m256i *input, __m256i *output, int32_t bit) {
      __m128i *in = (__m128i *)input;
      __m128i *out = (__m128i *)output;
  
      const int32_t *cospi = cospi_arr(bit);
      const __m128i cospi32 = _mm_set1_epi32(cospi[32]);
      const __m128i cospim32 = _mm_set1_epi32(-cospi[32]);
      const __m128i cospi48 = _mm_set1_epi32(cospi[48]);
      const __m128i cospi16 = _mm_set1_epi32(cospi[16]);
      const __m128i cospim48 = _mm_set1_epi32(-cospi[48]);
      const __m128i cospim16 = _mm_set1_epi32(-cospi[16]);
      const __m128i cospi56 = _mm_set1_epi32(cospi[56]);
      const __m128i cospi8 = _mm_set1_epi32(cospi[8]);
      const __m128i cospi24 = _mm_set1_epi32(cospi[24]);
      const __m128i cospi40 = _mm_set1_epi32(cospi[40]);
      const __m128i cospi60 = _mm_set1_epi32(cospi[60]);
      const __m128i cospi4 = _mm_set1_epi32(cospi[4]);
      const __m128i cospi28 = _mm_set1_epi32(cospi[28]);
      const __m128i cospi36 = _mm_set1_epi32(cospi[36]);
      const __m128i cospi44 = _mm_set1_epi32(cospi[44]);
      const __m128i cospi20 = _mm_set1_epi32(cospi[20]);
      const __m128i cospi12 = _mm_set1_epi32(cospi[12]);
      const __m128i cospi52 = _mm_set1_epi32(cospi[52]);
      const __m128i rnding = _mm_set1_epi32(1 << (bit - 1));
      __m128i u[16], v[16], x;
  
      // stage 0
      // stage 1
      u[0] = _mm_add_epi32(in[0], in[15]);
      v[15] = _mm_sub_epi32(in[0], in[15]);
      u[1] = _mm_add_epi32(in[1], in[14]);
      v[14] = _mm_sub_epi32(in[1], in[14]);
      u[2] = _mm_add_epi32(in[2], in[13]);
      u[13] = _mm_sub_epi32(in[2], in[13]);
      u[3] = _mm_add_epi32(in[3], in[12]);
      u[12] = _mm_sub_epi32(in[3], in[12]);
      u[4] = _mm_add_epi32(in[4], in[11]);
      u[11] = _mm_sub_epi32(in[4], in[11]);
      u[5] = _mm_add_epi32(in[5], in[10]);
      u[10] = _mm_sub_epi32(in[5], in[10]);
      u[6] = _mm_add_epi32(in[6], in[9]);
      v[9] = _mm_sub_epi32(in[6], in[9]);
      u[7] = _mm_add_epi32(in[7], in[8]);
      v[8] = _mm_sub_epi32(in[7], in[8]);
  
      // stage 2
      v[0] = _mm_add_epi32(u[0], u[7]);
      u[7] = _mm_sub_epi32(u[0], u[7]);
      v[1] = _mm_add_epi32(u[1], u[6]);
      v[6] = _mm_sub_epi32(u[1], u[6]);
      v[2] = _mm_add_epi32(u[2], u[5]);
      v[5] = _mm_sub_epi32(u[2], u[5]);
      v[3] = _mm_add_epi32(u[3], u[4]);
      u[4] = _mm_sub_epi32(u[3], u[4]);
  
      v[10] = _mm_mullo_epi32(u[10], cospim32);
      x = _mm_mullo_epi32(u[13], cospi32);
      v[10] = _mm_add_epi32(v[10], x);
      v[10] = _mm_add_epi32(v[10], rnding);
      v[10] = _mm_srai_epi32(v[10], bit);
  
      v[13] = _mm_mullo_epi32(u[10], cospi32);
      x = _mm_mullo_epi32(u[13], cospim32);
      v[13] = _mm_sub_epi32(v[13], x);
      v[13] = _mm_add_epi32(v[13], rnding);
      v[13] = _mm_srai_epi32(v[13], bit);
  
      v[11] = _mm_mullo_epi32(u[11], cospim32);
      x = _mm_mullo_epi32(u[12], cospi32);
      v[11] = _mm_add_epi32(v[11], x);
      v[11] = _mm_add_epi32(v[11], rnding);
      v[11] = _mm_srai_epi32(v[11], bit);
  
      v[12] = _mm_mullo_epi32(u[11], cospi32);
      x = _mm_mullo_epi32(u[12], cospim32);
      v[12] = _mm_sub_epi32(v[12], x);
      v[12] = _mm_add_epi32(v[12], rnding);
      v[12] = _mm_srai_epi32(v[12], bit);
  
      // stage 3
      u[0] = _mm_add_epi32(v[0], v[3]);
      u[3] = _mm_sub_epi32(v[0], v[3]);
      u[1] = _mm_add_epi32(v[1], v[2]);
      u[2] = _mm_sub_epi32(v[1], v[2]);
  
      u[5] = _mm_mullo_epi32(v[5], cospim32);
      x = _mm_mullo_epi32(v[6], cospi32);
      u[5] = _mm_add_epi32(u[5], x);
      u[5] = _mm_add_epi32(u[5], rnding);
      u[5] = _mm_srai_epi32(u[5], bit);
  
      u[6] = _mm_mullo_epi32(v[5], cospi32);
      x = _mm_mullo_epi32(v[6], cospim32);
      u[6] = _mm_sub_epi32(u[6], x);
      u[6] = _mm_add_epi32(u[6], rnding);
      u[6] = _mm_srai_epi32(u[6], bit);
  
      u[8] = _mm_add_epi32(v[8], v[11]);
      v[11] = _mm_sub_epi32(v[8], v[11]);
      u[9] = _mm_add_epi32(v[9], v[10]);
      u[10] = _mm_sub_epi32(v[9], v[10]);
      u[12] = _mm_sub_epi32(v[15], v[12]);
      v[15] = _mm_add_epi32(v[15], v[12]);
      u[13] = _mm_sub_epi32(v[14], v[13]);
      u[14] = _mm_add_epi32(v[14], v[13]);
  
      // stage 4
      u[0] = _mm_mullo_epi32(u[0], cospi32);
      u[1] = _mm_mullo_epi32(u[1], cospi32);
      v[0] = _mm_add_epi32(u[0], u[1]);
      v[0] = _mm_add_epi32(v[0], rnding);
      out[0] = _mm_srai_epi32(v[0], bit);
  
      v[1] = _mm_sub_epi32(u[0], u[1]);
      v[1] = _mm_add_epi32(v[1], rnding);
      out[8] = _mm_srai_epi32(v[1], bit);
  
      v[2] = _mm_mullo_epi32(u[2], cospi48);
      x = _mm_mullo_epi32(u[3], cospi16);
      v[2] = _mm_add_epi32(v[2], x);
      v[2] = _mm_add_epi32(v[2], rnding);
      out[4] = _mm_srai_epi32(v[2], bit);
  
      v[3] = _mm_mullo_epi32(u[2], cospi16);
      x = _mm_mullo_epi32(u[3], cospi48);
      v[3] = _mm_sub_epi32(x, v[3]);
      v[3] = _mm_add_epi32(v[3], rnding);
      out[12] = _mm_srai_epi32(v[3], bit);
  
      v[4] = _mm_add_epi32(u[4], u[5]);
      v[5] = _mm_sub_epi32(u[4], u[5]);
      v[6] = _mm_sub_epi32(u[7], u[6]);
      v[7] = _mm_add_epi32(u[7], u[6]);
      v[8] = u[8];
  
      v[9] = _mm_mullo_epi32(u[9], cospim16);
      x = _mm_mullo_epi32(u[14], cospi48);
      v[9] = _mm_add_epi32(v[9], x);
      v[9] = _mm_add_epi32(v[9], rnding);
      v[9] = _mm_srai_epi32(v[9], bit);
  
      v[14] = _mm_mullo_epi32(u[9], cospi48);
      x = _mm_mullo_epi32(u[14], cospim16);
      v[14] = _mm_sub_epi32(v[14], x);
      v[14] = _mm_add_epi32(v[14], rnding);
      v[14] = _mm_srai_epi32(v[14], bit);
  
      v[10] = _mm_mullo_epi32(u[10], cospim48);
      x = _mm_mullo_epi32(u[13], cospim16);
      v[10] = _mm_add_epi32(v[10], x);
      v[10] = _mm_add_epi32(v[10], rnding);
      v[10] = _mm_srai_epi32(v[10], bit);
  
      v[13] = _mm_mullo_epi32(u[10], cospim16);
      x = _mm_mullo_epi32(u[13], cospim48);
      v[13] = _mm_sub_epi32(v[13], x);
      v[13] = _mm_add_epi32(v[13], rnding);
      v[13] = _mm_srai_epi32(v[13], bit);
  
      v[12] = u[12];
  
      // stage 5
      u[4] = _mm_mullo_epi32(v[4], cospi56);
      x = _mm_mullo_epi32(v[7], cospi8);
      u[4] = _mm_add_epi32(u[4], x);
      u[4] = _mm_add_epi32(u[4], rnding);
      out[2] = _mm_srai_epi32(u[4], bit);
  
      u[7] = _mm_mullo_epi32(v[4], cospi8);
      x = _mm_mullo_epi32(v[7], cospi56);
      u[7] = _mm_sub_epi32(x, u[7]);
      u[7] = _mm_add_epi32(u[7], rnding);
      out[14] = _mm_srai_epi32(u[7], bit);
  
      u[5] = _mm_mullo_epi32(v[5], cospi24);
      x = _mm_mullo_epi32(v[6], cospi40);
      u[5] = _mm_add_epi32(u[5], x);
      u[5] = _mm_add_epi32(u[5], rnding);
      out[10] = _mm_srai_epi32(u[5], bit);
  
      u[6] = _mm_mullo_epi32(v[5], cospi40);
      x = _mm_mullo_epi32(v[6], cospi24);
      u[6] = _mm_sub_epi32(x, u[6]);
      u[6] = _mm_add_epi32(u[6], rnding);
      out[6] = _mm_srai_epi32(u[6], bit);
  
      u[8] = _mm_add_epi32(v[8], v[9]);
      u[9] = _mm_sub_epi32(v[8], v[9]);
      u[10] = _mm_sub_epi32(v[11], v[10]);
      u[11] = _mm_add_epi32(v[11], v[10]);
      u[12] = _mm_add_epi32(v[12], v[13]);
      u[13] = _mm_sub_epi32(v[12], v[13]);
      u[14] = _mm_sub_epi32(v[15], v[14]);
      u[15] = _mm_add_epi32(v[15], v[14]);
  
      // stage 6
      v[8] = _mm_mullo_epi32(u[8], cospi60);
      x = _mm_mullo_epi32(u[15], cospi4);
      v[8] = _mm_add_epi32(v[8], x);
      v[8] = _mm_add_epi32(v[8], rnding);
      out[1] = _mm_srai_epi32(v[8], bit);
  
      v[15] = _mm_mullo_epi32(u[8], cospi4);
      x = _mm_mullo_epi32(u[15], cospi60);
      v[15] = _mm_sub_epi32(x, v[15]);
      v[15] = _mm_add_epi32(v[15], rnding);
      out[15] = _mm_srai_epi32(v[15], bit);
  
      v[9] = _mm_mullo_epi32(u[9], cospi28);
      x = _mm_mullo_epi32(u[14], cospi36);
      v[9] = _mm_add_epi32(v[9], x);
      v[9] = _mm_add_epi32(v[9], rnding);
      out[9] = _mm_srai_epi32(v[9], bit);
  
      v[14] = _mm_mullo_epi32(u[9], cospi36);
      x = _mm_mullo_epi32(u[14], cospi28);
      v[14] = _mm_sub_epi32(x, v[14]);
      v[14] = _mm_add_epi32(v[14], rnding);
      out[7] = _mm_srai_epi32(v[14], bit);
  
      v[10] = _mm_mullo_epi32(u[10], cospi44);
      x = _mm_mullo_epi32(u[13], cospi20);
      v[10] = _mm_add_epi32(v[10], x);
      v[10] = _mm_add_epi32(v[10], rnding);
      out[5] = _mm_srai_epi32(v[10], bit);
  
      v[13] = _mm_mullo_epi32(u[10], cospi20);
      x = _mm_mullo_epi32(u[13], cospi44);
      v[13] = _mm_sub_epi32(x, v[13]);
      v[13] = _mm_add_epi32(v[13], rnding);
      out[11] = _mm_srai_epi32(v[13], bit);
  
      v[11] = _mm_mullo_epi32(u[11], cospi12);
      x = _mm_mullo_epi32(u[12], cospi52);
      v[11] = _mm_add_epi32(v[11], x);
      v[11] = _mm_add_epi32(v[11], rnding);
      out[13] = _mm_srai_epi32(v[11], bit);
  
      v[12] = _mm_mullo_epi32(u[11], cospi52);
      x = _mm_mullo_epi32(u[12], cospi12);
      v[12] = _mm_sub_epi32(x, v[12]);
      v[12] = _mm_add_epi32(v[12], rnding);
      out[3] = _mm_srai_epi32(v[12], bit);
  }
  
  static INLINE void fadst8x4_avx2(__m256i *input, __m256i *output, int32_t bit,
      const int32_t col_num) {
      __m128i *in = (__m128i *)input;
      __m128i *out = (__m128i *)output;
      const int32_t *cospi = cospi_arr(bit);
      const __m128i cospi32 = _mm_set1_epi32(cospi[32]);
      const __m128i cospi16 = _mm_set1_epi32(cospi[16]);
      const __m128i cospim16 = _mm_set1_epi32(-cospi[16]);
      const __m128i cospi48 = _mm_set1_epi32(cospi[48]);
      const __m128i cospim48 = _mm_set1_epi32(-cospi[48]);
      const __m128i cospi4 = _mm_set1_epi32(cospi[4]);
      const __m128i cospim4 = _mm_set1_epi32(-cospi[4]);
      const __m128i cospi60 = _mm_set1_epi32(cospi[60]);
      const __m128i cospi20 = _mm_set1_epi32(cospi[20]);
      const __m128i cospim20 = _mm_set1_epi32(-cospi[20]);
      const __m128i cospi44 = _mm_set1_epi32(cospi[44]);
      const __m128i cospi28 = _mm_set1_epi32(cospi[28]);
      const __m128i cospi36 = _mm_set1_epi32(cospi[36]);
      const __m128i cospim36 = _mm_set1_epi32(-cospi[36]);
      const __m128i cospi52 = _mm_set1_epi32(cospi[52]);
      const __m128i cospim52 = _mm_set1_epi32(-cospi[52]);
      const __m128i cospi12 = _mm_set1_epi32(cospi[12]);
      const __m128i rnding = _mm_set1_epi32(1 << (bit - 1));
      const __m128i zero = _mm_setzero_si128();
      __m128i u0, u1, u2, u3, u4, u5, u6, u7;
      __m128i v0, v1, v2, v3, v4, v5, v6, v7;
      __m128i x, y;
      int32_t col;
  
      // Note:
      //  Even column: 0, 2, ..., 14
      //  Odd column: 1, 3, ..., 15
      //  one even column plus one odd column constructs one row (8 coeffs)
      //  total we have 8 rows (8x8).
      for (col = 0; col < col_num; ++col) {
          // stage 0
          // stage 1
          u0 = in[col_num * 0 + col];
          u1 = _mm_sub_epi32(zero, in[col_num * 7 + col]);
          u2 = _mm_sub_epi32(zero, in[col_num * 3 + col]);
          u3 = in[col_num * 4 + col];
          u4 = _mm_sub_epi32(zero, in[col_num * 1 + col]);
          u5 = in[col_num * 6 + col];
          u6 = in[col_num * 2 + col];
          u7 = _mm_sub_epi32(zero, in[col_num * 5 + col]);
  
          // stage 2
          v0 = u0;
          v1 = u1;
  
          x = _mm_mullo_epi32(u2, cospi32);
          y = _mm_mullo_epi32(u3, cospi32);
          v2 = _mm_add_epi32(x, y);
          v2 = _mm_add_epi32(v2, rnding);
          v2 = _mm_srai_epi32(v2, bit);
  
          v3 = _mm_sub_epi32(x, y);
          v3 = _mm_add_epi32(v3, rnding);
          v3 = _mm_srai_epi32(v3, bit);
  
          v4 = u4;
          v5 = u5;
  
          x = _mm_mullo_epi32(u6, cospi32);
          y = _mm_mullo_epi32(u7, cospi32);
          v6 = _mm_add_epi32(x, y);
          v6 = _mm_add_epi32(v6, rnding);
          v6 = _mm_srai_epi32(v6, bit);
  
          v7 = _mm_sub_epi32(x, y);
          v7 = _mm_add_epi32(v7, rnding);
          v7 = _mm_srai_epi32(v7, bit);
  
          // stage 3
          u0 = _mm_add_epi32(v0, v2);
          u1 = _mm_add_epi32(v1, v3);
          u2 = _mm_sub_epi32(v0, v2);
          u3 = _mm_sub_epi32(v1, v3);
          u4 = _mm_add_epi32(v4, v6);
          u5 = _mm_add_epi32(v5, v7);
          u6 = _mm_sub_epi32(v4, v6);
          u7 = _mm_sub_epi32(v5, v7);
  
          // stage 4
          v0 = u0;
          v1 = u1;
          v2 = u2;
          v3 = u3;
  
          x = _mm_mullo_epi32(u4, cospi16);
          y = _mm_mullo_epi32(u5, cospi48);
          v4 = _mm_add_epi32(x, y);
          v4 = _mm_add_epi32(v4, rnding);
          v4 = _mm_srai_epi32(v4, bit);
  
          x = _mm_mullo_epi32(u4, cospi48);
          y = _mm_mullo_epi32(u5, cospim16);
          v5 = _mm_add_epi32(x, y);
          v5 = _mm_add_epi32(v5, rnding);
          v5 = _mm_srai_epi32(v5, bit);
  
          x = _mm_mullo_epi32(u6, cospim48);
          y = _mm_mullo_epi32(u7, cospi16);
          v6 = _mm_add_epi32(x, y);
          v6 = _mm_add_epi32(v6, rnding);
          v6 = _mm_srai_epi32(v6, bit);
  
          x = _mm_mullo_epi32(u6, cospi16);
          y = _mm_mullo_epi32(u7, cospi48);
          v7 = _mm_add_epi32(x, y);
          v7 = _mm_add_epi32(v7, rnding);
          v7 = _mm_srai_epi32(v7, bit);
  
          // stage 5
          u0 = _mm_add_epi32(v0, v4);
          u1 = _mm_add_epi32(v1, v5);
          u2 = _mm_add_epi32(v2, v6);
          u3 = _mm_add_epi32(v3, v7);
          u4 = _mm_sub_epi32(v0, v4);
          u5 = _mm_sub_epi32(v1, v5);
          u6 = _mm_sub_epi32(v2, v6);
          u7 = _mm_sub_epi32(v3, v7);
  
          // stage 6
          x = _mm_mullo_epi32(u0, cospi4);
          y = _mm_mullo_epi32(u1, cospi60);
          v0 = _mm_add_epi32(x, y);
          v0 = _mm_add_epi32(v0, rnding);
          out[col_num * 7 + col] = _mm_srai_epi32(v0, bit);
  
          x = _mm_mullo_epi32(u0, cospi60);
          y = _mm_mullo_epi32(u1, cospim4);
          v1 = _mm_add_epi32(x, y);
          v1 = _mm_add_epi32(v1, rnding);
          out[col_num * 0 + col] = _mm_srai_epi32(v1, bit);
  
          x = _mm_mullo_epi32(u2, cospi20);
          y = _mm_mullo_epi32(u3, cospi44);
          v2 = _mm_add_epi32(x, y);
          v2 = _mm_add_epi32(v2, rnding);
          out[col_num * 5 + col] = _mm_srai_epi32(v2, bit);
  
          x = _mm_mullo_epi32(u2, cospi44);
          y = _mm_mullo_epi32(u3, cospim20);
          v3 = _mm_add_epi32(x, y);
          v3 = _mm_add_epi32(v3, rnding);
          out[col_num * 2 + col] = _mm_srai_epi32(v3, bit);
  
          x = _mm_mullo_epi32(u4, cospi36);
          y = _mm_mullo_epi32(u5, cospi28);
          v4 = _mm_add_epi32(x, y);
          v4 = _mm_add_epi32(v4, rnding);
          out[col_num * 3 + col] = _mm_srai_epi32(v4, bit);
  
          x = _mm_mullo_epi32(u4, cospi28);
          y = _mm_mullo_epi32(u5, cospim36);
          v5 = _mm_add_epi32(x, y);
          v5 = _mm_add_epi32(v5, rnding);
          out[col_num * 4 + col] = _mm_srai_epi32(v5, bit);
  
          x = _mm_mullo_epi32(u6, cospi52);
          y = _mm_mullo_epi32(u7, cospi12);
          v6 = _mm_add_epi32(x, y);
          v6 = _mm_add_epi32(v6, rnding);
          out[col_num * 1 + col] = _mm_srai_epi32(v6, bit);
  
          x = _mm_mullo_epi32(u6, cospi12);
          y = _mm_mullo_epi32(u7, cospim52);
          v7 = _mm_add_epi32(x, y);
          v7 = _mm_add_epi32(v7, rnding);
          out[col_num * 6 + col] = _mm_srai_epi32(v7, bit);
      }
  }
  
  static INLINE void fadst16x4_avx2(__m256i *input, __m256i *output, int32_t bit) {
      __m128i *in = (__m128i *)input;
      __m128i *out = (__m128i *)output;
  
      const int32_t *cospi = cospi_arr(bit);
      const __m128i cospi32 = _mm_set1_epi32(cospi[32]);
      const __m128i cospi48 = _mm_set1_epi32(cospi[48]);
      const __m128i cospi16 = _mm_set1_epi32(cospi[16]);
      const __m128i cospim16 = _mm_set1_epi32(-cospi[16]);
      const __m128i cospim48 = _mm_set1_epi32(-cospi[48]);
      const __m128i cospi8 = _mm_set1_epi32(cospi[8]);
      const __m128i cospi56 = _mm_set1_epi32(cospi[56]);
      const __m128i cospim56 = _mm_set1_epi32(-cospi[56]);
      const __m128i cospim8 = _mm_set1_epi32(-cospi[8]);
      const __m128i cospi24 = _mm_set1_epi32(cospi[24]);
      const __m128i cospim24 = _mm_set1_epi32(-cospi[24]);
      const __m128i cospim40 = _mm_set1_epi32(-cospi[40]);
      const __m128i cospi40 = _mm_set1_epi32(cospi[40]);
      const __m128i cospi2 = _mm_set1_epi32(cospi[2]);
      const __m128i cospi62 = _mm_set1_epi32(cospi[62]);
      const __m128i cospim2 = _mm_set1_epi32(-cospi[2]);
      const __m128i cospi10 = _mm_set1_epi32(cospi[10]);
      const __m128i cospi54 = _mm_set1_epi32(cospi[54]);
      const __m128i cospim10 = _mm_set1_epi32(-cospi[10]);
      const __m128i cospi18 = _mm_set1_epi32(cospi[18]);
      const __m128i cospi46 = _mm_set1_epi32(cospi[46]);
      const __m128i cospim18 = _mm_set1_epi32(-cospi[18]);
      const __m128i cospi26 = _mm_set1_epi32(cospi[26]);
      const __m128i cospi38 = _mm_set1_epi32(cospi[38]);
      const __m128i cospim26 = _mm_set1_epi32(-cospi[26]);
      const __m128i cospi34 = _mm_set1_epi32(cospi[34]);
      const __m128i cospi30 = _mm_set1_epi32(cospi[30]);
      const __m128i cospim34 = _mm_set1_epi32(-cospi[34]);
      const __m128i cospi42 = _mm_set1_epi32(cospi[42]);
      const __m128i cospi22 = _mm_set1_epi32(cospi[22]);
      const __m128i cospim42 = _mm_set1_epi32(-cospi[42]);
      const __m128i cospi50 = _mm_set1_epi32(cospi[50]);
      const __m128i cospi14 = _mm_set1_epi32(cospi[14]);
      const __m128i cospim50 = _mm_set1_epi32(-cospi[50]);
      const __m128i cospi58 = _mm_set1_epi32(cospi[58]);
      const __m128i cospi6 = _mm_set1_epi32(cospi[6]);
      const __m128i cospim58 = _mm_set1_epi32(-cospi[58]);
      const __m128i rnding = _mm_set1_epi32(1 << (bit - 1));
      const __m128i zero = _mm_setzero_si128();
  
      __m128i u[16], v[16], x, y;
      __m128i tmp[13];
  
      tmp[0] = _mm_sub_epi32(zero, in[15]);
      u[2] = _mm_sub_epi32(zero, in[7]);
      tmp[1] = _mm_sub_epi32(zero, in[3]);
      u[7] = _mm_sub_epi32(zero, in[11]);
      tmp[2] = _mm_sub_epi32(zero, in[1]);
      u[11] = _mm_sub_epi32(zero, in[9]);
      tmp[3] = _mm_sub_epi32(zero, in[13]);
      u[14] = _mm_sub_epi32(zero, in[5]);
  
      // stage 2
  
      x = _mm_mullo_epi32(u[2], cospi32);
      y = _mm_mullo_epi32(in[8], cospi32);
      v[2] = _mm_add_epi32(x, y);
      v[2] = _mm_add_epi32(v[2], rnding);
      v[2] = _mm_srai_epi32(v[2], bit);
  
      v[3] = _mm_sub_epi32(x, y);
      v[3] = _mm_add_epi32(v[3], rnding);
      v[3] = _mm_srai_epi32(v[3], bit);
  
      x = _mm_mullo_epi32(in[4], cospi32);
      y = _mm_mullo_epi32(u[7], cospi32);
      v[6] = _mm_add_epi32(x, y);
      v[6] = _mm_add_epi32(v[6], rnding);
      v[6] = _mm_srai_epi32(v[6], bit);
  
      v[7] = _mm_sub_epi32(x, y);
      v[7] = _mm_add_epi32(v[7], rnding);
      v[7] = _mm_srai_epi32(v[7], bit);
  
      x = _mm_mullo_epi32(in[6], cospi32);
      y = _mm_mullo_epi32(u[11], cospi32);
      v[10] = _mm_add_epi32(x, y);
      v[10] = _mm_add_epi32(v[10], rnding);
      v[10] = _mm_srai_epi32(v[10], bit);
  
      v[11] = _mm_sub_epi32(x, y);
      v[11] = _mm_add_epi32(v[11], rnding);
      v[11] = _mm_srai_epi32(v[11], bit);
  
      x = _mm_mullo_epi32(u[14], cospi32);
      y = _mm_mullo_epi32(in[10], cospi32);
      v[14] = _mm_add_epi32(x, y);
      v[14] = _mm_add_epi32(v[14], rnding);
      v[14] = _mm_srai_epi32(v[14], bit);
  
      v[15] = _mm_sub_epi32(x, y);
      v[15] = _mm_add_epi32(v[15], rnding);
      v[15] = _mm_srai_epi32(v[15], bit);
  
      // stage 3
      tmp[4] = _mm_add_epi32(in[0], v[2]);
      tmp[5] = _mm_add_epi32(tmp[0], v[3]);
      tmp[6] = _mm_sub_epi32(in[0], v[2]);
      tmp[0] = _mm_sub_epi32(tmp[0], v[3]);
      u[4] = _mm_add_epi32(tmp[1], v[6]);
      u[5] = _mm_add_epi32(in[12], v[7]);
      u[6] = _mm_sub_epi32(tmp[1], v[6]);
      u[7] = _mm_sub_epi32(in[12], v[7]);
      tmp[1] = _mm_add_epi32(tmp[2], v[10]);
      tmp[7] = _mm_add_epi32(in[14], v[11]);
      tmp[2] = _mm_sub_epi32(tmp[2], v[10]);
      tmp[8] = _mm_sub_epi32(in[14], v[11]);
      u[12] = _mm_add_epi32(in[2], v[14]);
      u[13] = _mm_add_epi32(tmp[3], v[15]);
      u[14] = _mm_sub_epi32(in[2], v[14]);
      u[15] = _mm_sub_epi32(tmp[3], v[15]);
  
      // stage 4
      v[4] = half_btf_small(&cospi16, &u[4], &cospi48, &u[5], &rnding, bit);
      v[5] = half_btf_small(&cospi48, &u[4], &cospim16, &u[5], &rnding, bit);
      v[6] = half_btf_small(&cospim48, &u[6], &cospi16, &u[7], &rnding, bit);
      v[7] = half_btf_small(&cospi16, &u[6], &cospi48, &u[7], &rnding, bit);
      v[12] = half_btf_small(&cospi16, &u[12], &cospi48, &u[13], &rnding, bit);
      v[13] = half_btf_small(&cospi48, &u[12], &cospim16, &u[13], &rnding, bit);
      v[14] = half_btf_small(&cospim48, &u[14], &cospi16, &u[15], &rnding, bit);
      v[15] = half_btf_small(&cospi16, &u[14], &cospi48, &u[15], &rnding, bit);
  
      // stage 5
      tmp[9] = _mm_add_epi32(tmp[4], v[4]);
      tmp[10] = _mm_add_epi32(tmp[5], v[5]);
      tmp[11] = _mm_add_epi32(tmp[6], v[6]);
      tmp[12] = _mm_add_epi32(tmp[0], v[7]);
      tmp[4] = _mm_sub_epi32(tmp[4], v[4]);
      tmp[5] = _mm_sub_epi32(tmp[5], v[5]);
      tmp[6] = _mm_sub_epi32(tmp[6], v[6]);
      tmp[0] = _mm_sub_epi32(tmp[0], v[7]);
      u[8] = _mm_add_epi32(tmp[1], v[12]);
      u[9] = _mm_add_epi32(tmp[7], v[13]);
      u[10] = _mm_add_epi32(tmp[2], v[14]);
      u[11] = _mm_add_epi32(tmp[8], v[15]);
      u[12] = _mm_sub_epi32(tmp[1], v[12]);
      u[13] = _mm_sub_epi32(tmp[7], v[13]);
      u[14] = _mm_sub_epi32(tmp[2], v[14]);
      u[15] = _mm_sub_epi32(tmp[8], v[15]);
  
      // stage 6
      v[8] = half_btf_small(&cospi8, &u[8], &cospi56, &u[9], &rnding, bit);
      v[9] = half_btf_small(&cospi56, &u[8], &cospim8, &u[9], &rnding, bit);
      v[10] = half_btf_small(&cospi40, &u[10], &cospi24, &u[11], &rnding, bit);
      v[11] = half_btf_small(&cospi24, &u[10], &cospim40, &u[11], &rnding, bit);
      v[12] = half_btf_small(&cospim56, &u[12], &cospi8, &u[13], &rnding, bit);
      v[13] = half_btf_small(&cospi8, &u[12], &cospi56, &u[13], &rnding, bit);
      v[14] = half_btf_small(&cospim24, &u[14], &cospi40, &u[15], &rnding, bit);
      v[15] = half_btf_small(&cospi40, &u[14], &cospi24, &u[15], &rnding, bit);
  
      // stage 7
      u[0] = _mm_add_epi32(tmp[9], v[8]);
      u[1] = _mm_add_epi32(tmp[10], v[9]);
      u[2] = _mm_add_epi32(tmp[11], v[10]);
      u[3] = _mm_add_epi32(tmp[12], v[11]);
      u[4] = _mm_add_epi32(tmp[4], v[12]);
      u[5] = _mm_add_epi32(tmp[5], v[13]);
      u[6] = _mm_add_epi32(tmp[6], v[14]);
      u[7] = _mm_add_epi32(tmp[0], v[15]);
      u[8] = _mm_sub_epi32(tmp[9], v[8]);
      u[9] = _mm_sub_epi32(tmp[10], v[9]);
      u[10] = _mm_sub_epi32(tmp[11], v[10]);
      u[11] = _mm_sub_epi32(tmp[12], v[11]);
      u[12] = _mm_sub_epi32(tmp[4], v[12]);
      u[13] = _mm_sub_epi32(tmp[5], v[13]);
      u[14] = _mm_sub_epi32(tmp[6], v[14]);
      u[15] = _mm_sub_epi32(tmp[0], v[15]);
  
      // stage 8
      out[15] = half_btf_small(&cospi2, &u[0], &cospi62, &u[1], &rnding, bit);
      out[0] = half_btf_small(&cospi62, &u[0], &cospim2, &u[1], &rnding, bit);
      out[13] = half_btf_small(&cospi10, &u[2], &cospi54, &u[3], &rnding, bit);
      out[2] = half_btf_small(&cospi54, &u[2], &cospim10, &u[3], &rnding, bit);
      out[11] = half_btf_small(&cospi18, &u[4], &cospi46, &u[5], &rnding, bit);
      out[4] = half_btf_small(&cospi46, &u[4], &cospim18, &u[5], &rnding, bit);
      out[9] = half_btf_small(&cospi26, &u[6], &cospi38, &u[7], &rnding, bit);
      out[6] = half_btf_small(&cospi38, &u[6], &cospim26, &u[7], &rnding, bit);
      out[7] = half_btf_small(&cospi34, &u[8], &cospi30, &u[9], &rnding, bit);
      out[8] = half_btf_small(&cospi30, &u[8], &cospim34, &u[9], &rnding, bit);
      out[5] = half_btf_small(&cospi42, &u[10], &cospi22, &u[11], &rnding, bit);
      out[10] = half_btf_small(&cospi22, &u[10], &cospim42, &u[11], &rnding, bit);
      out[3] = half_btf_small(&cospi50, &u[12], &cospi14, &u[13], &rnding, bit);
      out[12] = half_btf_small(&cospi14, &u[12], &cospim50, &u[13], &rnding, bit);
      out[1] = half_btf_small(&cospi58, &u[14], &cospi6, &u[15], &rnding, bit);
      out[14] = half_btf_small(&cospi6, &u[14], &cospim58, &u[15], &rnding, bit);
  }
  
  static void fdct16x16_avx2(const __m256i *in, __m256i *out, int8_t bit, const int32_t col_num) {
      const int32_t *cospi = cospi_arr(bit);
      const __m256i cospi32 = _mm256_set1_epi32(cospi[32]);
      const __m256i cospim32 = _mm256_set1_epi32(-cospi[32]);
      const __m256i cospi48 = _mm256_set1_epi32(cospi[48]);
      const __m256i cospi16 = _mm256_set1_epi32(cospi[16]);
      const __m256i cospim48 = _mm256_set1_epi32(-cospi[48]);
      const __m256i cospim16 = _mm256_set1_epi32(-cospi[16]);
      const __m256i cospi56 = _mm256_set1_epi32(cospi[56]);
      const __m256i cospi8 = _mm256_set1_epi32(cospi[8]);
      const __m256i cospi24 = _mm256_set1_epi32(cospi[24]);
      const __m256i cospi40 = _mm256_set1_epi32(cospi[40]);
      const __m256i cospi60 = _mm256_set1_epi32(cospi[60]);
      const __m256i cospi4 = _mm256_set1_epi32(cospi[4]);
      const __m256i cospi28 = _mm256_set1_epi32(cospi[28]);
      const __m256i cospi36 = _mm256_set1_epi32(cospi[36]);
      const __m256i cospi44 = _mm256_set1_epi32(cospi[44]);
      const __m256i cospi20 = _mm256_set1_epi32(cospi[20]);
      const __m256i cospi12 = _mm256_set1_epi32(cospi[12]);
      const __m256i cospi52 = _mm256_set1_epi32(cospi[52]);
      const __m256i rnding = _mm256_set1_epi32(1 << (bit - 1));
      __m256i u[16], v[16], x;
      int32_t col;
  
      for (col = 0; col < col_num; ++col) {
          // stage 0
          // stage 1
          u[0] = _mm256_add_epi32(in[0 * col_num + col], in[15 * col_num + col]);
          u[15] = _mm256_sub_epi32(in[0 * col_num + col], in[15 * col_num + col]);
          u[1] = _mm256_add_epi32(in[1 * col_num + col], in[14 * col_num + col]);
          u[14] = _mm256_sub_epi32(in[1 * col_num + col], in[14 * col_num + col]);
          u[2] = _mm256_add_epi32(in[2 * col_num + col], in[13 * col_num + col]);
          u[13] = _mm256_sub_epi32(in[2 * col_num + col], in[13 * col_num + col]);
          u[3] = _mm256_add_epi32(in[3 * col_num + col], in[12 * col_num + col]);
          u[12] = _mm256_sub_epi32(in[3 * col_num + col], in[12 * col_num + col]);
          u[4] = _mm256_add_epi32(in[4 * col_num + col], in[11 * col_num + col]);
          u[11] = _mm256_sub_epi32(in[4 * col_num + col], in[11 * col_num + col]);
          u[5] = _mm256_add_epi32(in[5 * col_num + col], in[10 * col_num + col]);
          u[10] = _mm256_sub_epi32(in[5 * col_num + col], in[10 * col_num + col]);
          u[6] = _mm256_add_epi32(in[6 * col_num + col], in[9 * col_num + col]);
          u[9] = _mm256_sub_epi32(in[6 * col_num + col], in[9 * col_num + col]);
          u[7] = _mm256_add_epi32(in[7 * col_num + col], in[8 * col_num + col]);
          u[8] = _mm256_sub_epi32(in[7 * col_num + col], in[8 * col_num + col]);
  
          // stage 2
          v[0] = _mm256_add_epi32(u[0], u[7]);
          v[7] = _mm256_sub_epi32(u[0], u[7]);
          v[1] = _mm256_add_epi32(u[1], u[6]);
          v[6] = _mm256_sub_epi32(u[1], u[6]);
          v[2] = _mm256_add_epi32(u[2], u[5]);
          v[5] = _mm256_sub_epi32(u[2], u[5]);
          v[3] = _mm256_add_epi32(u[3], u[4]);
          v[4] = _mm256_sub_epi32(u[3], u[4]);
          v[8] = u[8];
          v[9] = u[9];
  
          v[10] = _mm256_mullo_epi32(u[10], cospim32);
          x = _mm256_mullo_epi32(u[13], cospi32);
          v[10] = _mm256_add_epi32(v[10], x);
          v[10] = _mm256_add_epi32(v[10], rnding);
          v[10] = _mm256_srai_epi32(v[10], bit);
  
          v[13] = _mm256_mullo_epi32(u[10], cospi32);
          x = _mm256_mullo_epi32(u[13], cospim32);
          v[13] = _mm256_sub_epi32(v[13], x);
          v[13] = _mm256_add_epi32(v[13], rnding);
          v[13] = _mm256_srai_epi32(v[13], bit);
  
          v[11] = _mm256_mullo_epi32(u[11], cospim32);
          x = _mm256_mullo_epi32(u[12], cospi32);
          v[11] = _mm256_add_epi32(v[11], x);
          v[11] = _mm256_add_epi32(v[11], rnding);
          v[11] = _mm256_srai_epi32(v[11], bit);
  
          v[12] = _mm256_mullo_epi32(u[11], cospi32);
          x = _mm256_mullo_epi32(u[12], cospim32);
          v[12] = _mm256_sub_epi32(v[12], x);
          v[12] = _mm256_add_epi32(v[12], rnding);
          v[12] = _mm256_srai_epi32(v[12], bit);
          v[14] = u[14];
          v[15] = u[15];
  
          // stage 3
          u[0] = _mm256_add_epi32(v[0], v[3]);
          u[3] = _mm256_sub_epi32(v[0], v[3]);
          u[1] = _mm256_add_epi32(v[1], v[2]);
          u[2] = _mm256_sub_epi32(v[1], v[2]);
          u[4] = v[4];
  
          u[5] = _mm256_mullo_epi32(v[5], cospim32);
          x = _mm256_mullo_epi32(v[6], cospi32);
          u[5] = _mm256_add_epi32(u[5], x);
          u[5] = _mm256_add_epi32(u[5], rnding);
          u[5] = _mm256_srai_epi32(u[5], bit);
  
          u[6] = _mm256_mullo_epi32(v[5], cospi32);
          x = _mm256_mullo_epi32(v[6], cospim32);
          u[6] = _mm256_sub_epi32(u[6], x);
          u[6] = _mm256_add_epi32(u[6], rnding);
          u[6] = _mm256_srai_epi32(u[6], bit);
  
          u[7] = v[7];
          u[8] = _mm256_add_epi32(v[8], v[11]);
          u[11] = _mm256_sub_epi32(v[8], v[11]);
          u[9] = _mm256_add_epi32(v[9], v[10]);
          u[10] = _mm256_sub_epi32(v[9], v[10]);
          u[12] = _mm256_sub_epi32(v[15], v[12]);
          u[15] = _mm256_add_epi32(v[15], v[12]);
          u[13] = _mm256_sub_epi32(v[14], v[13]);
          u[14] = _mm256_add_epi32(v[14], v[13]);
  
          // stage 4
          u[0] = _mm256_mullo_epi32(u[0], cospi32);
          u[1] = _mm256_mullo_epi32(u[1], cospi32);
          v[0] = _mm256_add_epi32(u[0], u[1]);
          v[0] = _mm256_add_epi32(v[0], rnding);
          v[0] = _mm256_srai_epi32(v[0], bit);
  
          v[1] = _mm256_sub_epi32(u[0], u[1]);
          v[1] = _mm256_add_epi32(v[1], rnding);
          v[1] = _mm256_srai_epi32(v[1], bit);
  
          v[2] = _mm256_mullo_epi32(u[2], cospi48);
          x = _mm256_mullo_epi32(u[3], cospi16);
          v[2] = _mm256_add_epi32(v[2], x);
          v[2] = _mm256_add_epi32(v[2], rnding);
          v[2] = _mm256_srai_epi32(v[2], bit);
  
          v[3] = _mm256_mullo_epi32(u[2], cospi16);
          x = _mm256_mullo_epi32(u[3], cospi48);
          v[3] = _mm256_sub_epi32(x, v[3]);
          v[3] = _mm256_add_epi32(v[3], rnding);
          v[3] = _mm256_srai_epi32(v[3], bit);
  
          v[4] = _mm256_add_epi32(u[4], u[5]);
          v[5] = _mm256_sub_epi32(u[4], u[5]);
          v[6] = _mm256_sub_epi32(u[7], u[6]);
          v[7] = _mm256_add_epi32(u[7], u[6]);
          v[8] = u[8];
  
          v[9] = _mm256_mullo_epi32(u[9], cospim16);
          x = _mm256_mullo_epi32(u[14], cospi48);
          v[9] = _mm256_add_epi32(v[9], x);
          v[9] = _mm256_add_epi32(v[9], rnding);
          v[9] = _mm256_srai_epi32(v[9], bit);
  
          v[14] = _mm256_mullo_epi32(u[9], cospi48);
          x = _mm256_mullo_epi32(u[14], cospim16);
          v[14] = _mm256_sub_epi32(v[14], x);
          v[14] = _mm256_add_epi32(v[14], rnding);
          v[14] = _mm256_srai_epi32(v[14], bit);
  
          v[10] = _mm256_mullo_epi32(u[10], cospim48);
          x = _mm256_mullo_epi32(u[13], cospim16);
          v[10] = _mm256_add_epi32(v[10], x);
          v[10] = _mm256_add_epi32(v[10], rnding);
          v[10] = _mm256_srai_epi32(v[10], bit);
  
          v[13] = _mm256_mullo_epi32(u[10], cospim16);
          x = _mm256_mullo_epi32(u[13], cospim48);
          v[13] = _mm256_sub_epi32(v[13], x);
          v[13] = _mm256_add_epi32(v[13], rnding);
          v[13] = _mm256_srai_epi32(v[13], bit);
  
          v[11] = u[11];
          v[12] = u[12];
          v[15] = u[15];
  
          // stage 5
          u[0] = v[0];
          u[1] = v[1];
          u[2] = v[2];
          u[3] = v[3];
  
          u[4] = _mm256_mullo_epi32(v[4], cospi56);
          x = _mm256_mullo_epi32(v[7], cospi8);
          u[4] = _mm256_add_epi32(u[4], x);
          u[4] = _mm256_add_epi32(u[4], rnding);
          u[4] = _mm256_srai_epi32(u[4], bit);
  
          u[7] = _mm256_mullo_epi32(v[4], cospi8);
          x = _mm256_mullo_epi32(v[7], cospi56);
          u[7] = _mm256_sub_epi32(x, u[7]);
          u[7] = _mm256_add_epi32(u[7], rnding);
          u[7] = _mm256_srai_epi32(u[7], bit);
  
          u[5] = _mm256_mullo_epi32(v[5], cospi24);
          x = _mm256_mullo_epi32(v[6], cospi40);
          u[5] = _mm256_add_epi32(u[5], x);
          u[5] = _mm256_add_epi32(u[5], rnding);
          u[5] = _mm256_srai_epi32(u[5], bit);
  
          u[6] = _mm256_mullo_epi32(v[5], cospi40);
          x = _mm256_mullo_epi32(v[6], cospi24);
          u[6] = _mm256_sub_epi32(x, u[6]);
          u[6] = _mm256_add_epi32(u[6], rnding);
          u[6] = _mm256_srai_epi32(u[6], bit);
  
          u[8] = _mm256_add_epi32(v[8], v[9]);
          u[9] = _mm256_sub_epi32(v[8], v[9]);
          u[10] = _mm256_sub_epi32(v[11], v[10]);
          u[11] = _mm256_add_epi32(v[11], v[10]);
          u[12] = _mm256_add_epi32(v[12], v[13]);
          u[13] = _mm256_sub_epi32(v[12], v[13]);
          u[14] = _mm256_sub_epi32(v[15], v[14]);
          u[15] = _mm256_add_epi32(v[15], v[14]);
  
          // stage 6
          v[0] = u[0];
          v[1] = u[1];
          v[2] = u[2];
          v[3] = u[3];
          v[4] = u[4];
          v[5] = u[5];
          v[6] = u[6];
          v[7] = u[7];
  
          v[8] = _mm256_mullo_epi32(u[8], cospi60);
          x = _mm256_mullo_epi32(u[15], cospi4);
          v[8] = _mm256_add_epi32(v[8], x);
          v[8] = _mm256_add_epi32(v[8], rnding);
          v[8] = _mm256_srai_epi32(v[8], bit);
  
          v[15] = _mm256_mullo_epi32(u[8], cospi4);
          x = _mm256_mullo_epi32(u[15], cospi60);
          v[15] = _mm256_sub_epi32(x, v[15]);
          v[15] = _mm256_add_epi32(v[15], rnding);
          v[15] = _mm256_srai_epi32(v[15], bit);
  
          v[9] = _mm256_mullo_epi32(u[9], cospi28);
          x = _mm256_mullo_epi32(u[14], cospi36);
          v[9] = _mm256_add_epi32(v[9], x);
          v[9] = _mm256_add_epi32(v[9], rnding);
          v[9] = _mm256_srai_epi32(v[9], bit);
  
          v[14] = _mm256_mullo_epi32(u[9], cospi36);
          x = _mm256_mullo_epi32(u[14], cospi28);
          v[14] = _mm256_sub_epi32(x, v[14]);
          v[14] = _mm256_add_epi32(v[14], rnding);
          v[14] = _mm256_srai_epi32(v[14], bit);
  
          v[10] = _mm256_mullo_epi32(u[10], cospi44);
          x = _mm256_mullo_epi32(u[13], cospi20);
          v[10] = _mm256_add_epi32(v[10], x);
          v[10] = _mm256_add_epi32(v[10], rnding);
          v[10] = _mm256_srai_epi32(v[10], bit);
  
          v[13] = _mm256_mullo_epi32(u[10], cospi20);
          x = _mm256_mullo_epi32(u[13], cospi44);
          v[13] = _mm256_sub_epi32(x, v[13]);
          v[13] = _mm256_add_epi32(v[13], rnding);
          v[13] = _mm256_srai_epi32(v[13], bit);
  
          v[11] = _mm256_mullo_epi32(u[11], cospi12);
          x = _mm256_mullo_epi32(u[12], cospi52);
          v[11] = _mm256_add_epi32(v[11], x);
          v[11] = _mm256_add_epi32(v[11], rnding);
          v[11] = _mm256_srai_epi32(v[11], bit);
  
          v[12] = _mm256_mullo_epi32(u[11], cospi52);
          x = _mm256_mullo_epi32(u[12], cospi12);
          v[12] = _mm256_sub_epi32(x, v[12]);
          v[12] = _mm256_add_epi32(v[12], rnding);
          v[12] = _mm256_srai_epi32(v[12], bit);
  
          out[0 * col_num + col] = v[0];
          out[1 * col_num + col] = v[8];
          out[2 * col_num + col] = v[4];
          out[3 * col_num + col] = v[12];
          out[4 * col_num + col] = v[2];
          out[5 * col_num + col] = v[10];
          out[6 * col_num + col] = v[6];
          out[7 * col_num + col] = v[14];
          out[8 * col_num + col] = v[1];
          out[9 * col_num + col] = v[9];
          out[10 * col_num + col] = v[5];
          out[11 * col_num + col] = v[13];
          out[12 * col_num + col] = v[3];
          out[13 * col_num + col] = v[11];
          out[14 * col_num + col] = v[7];
          out[15 * col_num + col] = v[15];
      }
  }
  
  static INLINE void fadst4x8_row_avx2(__m256i *input, __m256i *output, int32_t bit,
      const int32_t num_col) {
      const int32_t *sinpi = sinpi_arr(bit);
      const __m256i rnding = _mm256_set1_epi32(1 << (bit - 1));
      const __m256i sinpi1 = _mm256_set1_epi32((int32_t)sinpi[1]);
      const __m256i sinpi2 = _mm256_set1_epi32((int32_t)sinpi[2]);
      const __m256i sinpi3 = _mm256_set1_epi32((int32_t)sinpi[3]);
      const __m256i sinpi4 = _mm256_set1_epi32((int32_t)sinpi[4]);
      __m256i t;
      __m256i s0, s1, s2, s3, s4, s5, s6, s7;
      __m256i x0, x1, x2, x3;
      __m256i u0, u1, u2, u3;
      __m256i v0, v1, v2, v3;
      __m256i in[4];
      __m256i out[4];
  
      in[0] = _mm256_permute2x128_si256(input[0], input[2], 0x20);
      in[1] = _mm256_permute2x128_si256(input[0], input[2], 0x31);
      in[2] = _mm256_permute2x128_si256(input[1], input[3], 0x20);
      in[3] = _mm256_permute2x128_si256(input[1], input[3], 0x31);
  
      int32_t idx = 0 * num_col;
      s0 = _mm256_mullo_epi32(in[idx], sinpi1);
      s1 = _mm256_mullo_epi32(in[idx], sinpi4);
      t = _mm256_add_epi32(in[idx], in[idx + num_col]);
      idx += num_col;
      s2 = _mm256_mullo_epi32(in[idx], sinpi2);
      s3 = _mm256_mullo_epi32(in[idx], sinpi1);
      idx += num_col;
      s4 = _mm256_mullo_epi32(in[idx], sinpi3);
      idx += num_col;
      s5 = _mm256_mullo_epi32(in[idx], sinpi4);
      s6 = _mm256_mullo_epi32(in[idx], sinpi2);
      s7 = _mm256_sub_epi32(t, in[idx]);
  
      t = _mm256_add_epi32(s0, s2);
      x0 = _mm256_add_epi32(t, s5);
      x1 = _mm256_mullo_epi32(s7, sinpi3);
      t = _mm256_sub_epi32(s1, s3);
      x2 = _mm256_add_epi32(t, s6);
      x3 = s4;
  
      s0 = _mm256_add_epi32(x0, x3);
      s1 = x1;
      s2 = _mm256_sub_epi32(x2, x3);
      t = _mm256_sub_epi32(x2, x0);
      s3 = _mm256_add_epi32(t, x3);
  
      u0 = _mm256_add_epi32(s0, rnding);
      u0 = _mm256_srai_epi32(u0, bit);
  
      u1 = _mm256_add_epi32(s1, rnding);
      u1 = _mm256_srai_epi32(u1, bit);
  
      u2 = _mm256_add_epi32(s2, rnding);
      u2 = _mm256_srai_epi32(u2, bit);
  
      u3 = _mm256_add_epi32(s3, rnding);
      u3 = _mm256_srai_epi32(u3, bit);
  
      v0 = _mm256_unpacklo_epi32(u0, u1);
      v1 = _mm256_unpackhi_epi32(u0, u1);
      v2 = _mm256_unpacklo_epi32(u2, u3);
      v3 = _mm256_unpackhi_epi32(u2, u3);
  
      out[0] = _mm256_unpacklo_epi64(v0, v2);
      out[1] = _mm256_unpackhi_epi64(v0, v2);
      out[2] = _mm256_unpacklo_epi64(v1, v3);
      out[3] = _mm256_unpackhi_epi64(v1, v3);
  
      output[0] = _mm256_permute2x128_si256(out[0], out[1], 0x20);
      output[1] = _mm256_permute2x128_si256(out[2], out[3], 0x20);
      output[2] = _mm256_permute2x128_si256(out[0], out[1], 0x31);
      output[3] = _mm256_permute2x128_si256(out[2], out[3], 0x31);
  }
  
  static INLINE void fadst4x8_col_avx2(__m256i *in, __m256i *output, int32_t bit,
      const int32_t num_col) {
      const int32_t *sinpi = sinpi_arr(bit);
      const __m256i rnding = _mm256_set1_epi32(1 << (bit - 1));
      const __m256i sinpi1 = _mm256_set1_epi32((int32_t)sinpi[1]);
      const __m256i sinpi2 = _mm256_set1_epi32((int32_t)sinpi[2]);
      const __m256i sinpi3 = _mm256_set1_epi32((int32_t)sinpi[3]);
      const __m256i sinpi4 = _mm256_set1_epi32((int32_t)sinpi[4]);
      __m256i t;
      __m256i s0, s1, s2, s3, s4, s5, s6, s7;
      __m256i x0, x1, x2, x3;
      __m256i u0, u1, u2, u3;
      __m256i v0, v1, v2, v3;
      __m256i out[4];
  
      int32_t idx = 0 * num_col;
      s0 = _mm256_mullo_epi32(in[idx], sinpi1);
      s1 = _mm256_mullo_epi32(in[idx], sinpi4);
      t = _mm256_add_epi32(in[idx], in[idx + num_col]);
      idx += num_col;
      s2 = _mm256_mullo_epi32(in[idx], sinpi2);
      s3 = _mm256_mullo_epi32(in[idx], sinpi1);
      idx += num_col;
      s4 = _mm256_mullo_epi32(in[idx], sinpi3);
      idx += num_col;
      s5 = _mm256_mullo_epi32(in[idx], sinpi4);
      s6 = _mm256_mullo_epi32(in[idx], sinpi2);
      s7 = _mm256_sub_epi32(t, in[idx]);
  
      t = _mm256_add_epi32(s0, s2);
      x0 = _mm256_add_epi32(t, s5);
      x1 = _mm256_mullo_epi32(s7, sinpi3);
      t = _mm256_sub_epi32(s1, s3);
      x2 = _mm256_add_epi32(t, s6);
      x3 = s4;
  
      s0 = _mm256_add_epi32(x0, x3);
      s1 = x1;
      s2 = _mm256_sub_epi32(x2, x3);
      t = _mm256_sub_epi32(x2, x0);
      s3 = _mm256_add_epi32(t, x3);
  
      u0 = _mm256_add_epi32(s0, rnding);
      u0 = _mm256_srai_epi32(u0, bit);
  
      u1 = _mm256_add_epi32(s1, rnding);
      u1 = _mm256_srai_epi32(u1, bit);
  
      u2 = _mm256_add_epi32(s2, rnding);
      u2 = _mm256_srai_epi32(u2, bit);
  
      u3 = _mm256_add_epi32(s3, rnding);
      u3 = _mm256_srai_epi32(u3, bit);
  
      v0 = _mm256_unpacklo_epi32(u0, u1);
      v1 = _mm256_unpackhi_epi32(u0, u1);
      v2 = _mm256_unpacklo_epi32(u2, u3);
      v3 = _mm256_unpackhi_epi32(u2, u3);
  
      out[0] = _mm256_unpacklo_epi64(v0, v2);
      out[1] = _mm256_unpackhi_epi64(v0, v2);
      out[2] = _mm256_unpacklo_epi64(v1, v3);
      out[3] = _mm256_unpackhi_epi64(v1, v3);
  
  
      output[0] = _mm256_permute2x128_si256(out[0], out[1], 0x20);
      output[1] = _mm256_permute2x128_si256(out[2], out[3], 0x20);
      output[2] = _mm256_permute2x128_si256(out[0], out[1], 0x31);
      output[3] = _mm256_permute2x128_si256(out[2], out[3], 0x31);
  }
  
  static INLINE void fdct4x8_avx2(__m256i *input, __m256i *output,
      int32_t bit) {
      __m128i *in = (__m128i *)input;
      __m128i *out = (__m128i *)output;
      const int32_t *cospi = cospi_arr(bit);
      const __m128i cospi32 = _mm_set1_epi32(cospi[32]);
      const __m128i cospim32 = _mm_set1_epi32(-cospi[32]);
      const __m128i cospi48 = _mm_set1_epi32(cospi[48]);
      const __m128i cospi16 = _mm_set1_epi32(cospi[16]);
      const __m128i cospi56 = _mm_set1_epi32(cospi[56]);
      const __m128i cospi8 = _mm_set1_epi32(cospi[8]);
      const __m128i cospi24 = _mm_set1_epi32(cospi[24]);
      const __m128i cospi40 = _mm_set1_epi32(cospi[40]);
      const __m128i rnding = _mm_set1_epi32(1 << (bit - 1));
      __m128i u[8], v[8];
  
      // Even 8 points 0, 2, ..., 14
      // stage 0
      // stage 1
      u[0] = _mm_add_epi32(in[0], in[7]);
      v[7] = _mm_sub_epi32(in[0], in[7]);  // v[7]
      u[1] = _mm_add_epi32(in[1], in[6]);
      u[6] = _mm_sub_epi32(in[1], in[6]);
      u[2] = _mm_add_epi32(in[2], in[5]);
      u[5] = _mm_sub_epi32(in[2], in[5]);
      u[3] = _mm_add_epi32(in[3], in[4]);
      v[4] = _mm_sub_epi32(in[3], in[4]);  // v[4]
  
      // stage 2
      v[0] = _mm_add_epi32(u[0], u[3]);
      v[3] = _mm_sub_epi32(u[0], u[3]);
      v[1] = _mm_add_epi32(u[1], u[2]);
      v[2] = _mm_sub_epi32(u[1], u[2]);
  
      v[5] = _mm_mullo_epi32(u[5], cospim32);
      v[6] = _mm_mullo_epi32(u[6], cospi32);
      v[5] = _mm_add_epi32(v[5], v[6]);
      v[5] = _mm_add_epi32(v[5], rnding);
      v[5] = _mm_srai_epi32(v[5], bit);
  
      u[0] = _mm_mullo_epi32(u[5], cospi32);
      v[6] = _mm_mullo_epi32(u[6], cospim32);
      v[6] = _mm_sub_epi32(u[0], v[6]);
      v[6] = _mm_add_epi32(v[6], rnding);
      v[6] = _mm_srai_epi32(v[6], bit);
  
      // stage 3
      // type 0
      v[0] = _mm_mullo_epi32(v[0], cospi32);
      v[1] = _mm_mullo_epi32(v[1], cospi32);
      u[0] = _mm_add_epi32(v[0], v[1]);
      u[0] = _mm_add_epi32(u[0], rnding);
      out[0] = _mm_srai_epi32(u[0], bit);
  
      u[1] = _mm_sub_epi32(v[0], v[1]);
      u[1] = _mm_add_epi32(u[1], rnding);
      out[4] = _mm_srai_epi32(u[1], bit);
  
      // type 1
      v[0] = _mm_mullo_epi32(v[2], cospi48);
      v[1] = _mm_mullo_epi32(v[3], cospi16);
      u[2] = _mm_add_epi32(v[0], v[1]);
      u[2] = _mm_add_epi32(u[2], rnding);
      out[2] = _mm_srai_epi32(u[2], bit);
  
      v[0] = _mm_mullo_epi32(v[2], cospi16);
      v[1] = _mm_mullo_epi32(v[3], cospi48);
      u[3] = _mm_sub_epi32(v[1], v[0]);
      u[3] = _mm_add_epi32(u[3], rnding);
      out[6] = _mm_srai_epi32(u[3], bit);
  
      u[4] = _mm_add_epi32(v[4], v[5]);
      u[5] = _mm_sub_epi32(v[4], v[5]);
      u[6] = _mm_sub_epi32(v[7], v[6]);
      u[7] = _mm_add_epi32(v[7], v[6]);
  
      // stage 4
      // stage 5
      v[0] = _mm_mullo_epi32(u[4], cospi56);
      v[1] = _mm_mullo_epi32(u[7], cospi8);
      v[0] = _mm_add_epi32(v[0], v[1]);
      v[0] = _mm_add_epi32(v[0], rnding);
      out[1] = _mm_srai_epi32(v[0], bit);  // buf0[4]
  
      v[0] = _mm_mullo_epi32(u[4], cospi8);
      v[1] = _mm_mullo_epi32(u[7], cospi56);
      v[0] = _mm_sub_epi32(v[1], v[0]);
      v[0] = _mm_add_epi32(v[0], rnding);
      out[7] = _mm_srai_epi32(v[0], bit);  // buf0[7]
  
      v[0] = _mm_mullo_epi32(u[5], cospi24);
      v[1] = _mm_mullo_epi32(u[6], cospi40);
      v[0] = _mm_add_epi32(v[0], v[1]);
      v[0] = _mm_add_epi32(v[0], rnding);
      out[5] = _mm_srai_epi32(v[0], bit);  // buf0[5]
  
      v[0] = _mm_mullo_epi32(u[5], cospi40);
      v[1] = _mm_mullo_epi32(u[6], cospi24);
      v[0] = _mm_sub_epi32(v[1], v[0]);
      v[0] = _mm_add_epi32(v[0], rnding);
      out[3] = _mm_srai_epi32(v[0], bit);  // buf0[6]
  
  }
  
  static void fadst16x16_avx2(const __m256i *in, __m256i *out, int8_t bit, const int32_t col_num) {
      const int32_t *cospi = cospi_arr(bit);
      const __m256i cospi32 = _mm256_set1_epi32(cospi[32]);
      const __m256i cospi48 = _mm256_set1_epi32(cospi[48]);
      const __m256i cospi16 = _mm256_set1_epi32(cospi[16]);
      const __m256i cospim16 = _mm256_set1_epi32(-cospi[16]);
      const __m256i cospim48 = _mm256_set1_epi32(-cospi[48]);
      const __m256i cospi8 = _mm256_set1_epi32(cospi[8]);
      const __m256i cospi56 = _mm256_set1_epi32(cospi[56]);
      const __m256i cospim56 = _mm256_set1_epi32(-cospi[56]);
      const __m256i cospim8 = _mm256_set1_epi32(-cospi[8]);
      const __m256i cospi24 = _mm256_set1_epi32(cospi[24]);
      const __m256i cospim24 = _mm256_set1_epi32(-cospi[24]);
      const __m256i cospim40 = _mm256_set1_epi32(-cospi[40]);
      const __m256i cospi40 = _mm256_set1_epi32(cospi[40]);
      const __m256i cospi2 = _mm256_set1_epi32(cospi[2]);
      const __m256i cospi62 = _mm256_set1_epi32(cospi[62]);
      const __m256i cospim2 = _mm256_set1_epi32(-cospi[2]);
      const __m256i cospi10 = _mm256_set1_epi32(cospi[10]);
      const __m256i cospi54 = _mm256_set1_epi32(cospi[54]);
      const __m256i cospim10 = _mm256_set1_epi32(-cospi[10]);
      const __m256i cospi18 = _mm256_set1_epi32(cospi[18]);
      const __m256i cospi46 = _mm256_set1_epi32(cospi[46]);
      const __m256i cospim18 = _mm256_set1_epi32(-cospi[18]);
      const __m256i cospi26 = _mm256_set1_epi32(cospi[26]);
      const __m256i cospi38 = _mm256_set1_epi32(cospi[38]);
      const __m256i cospim26 = _mm256_set1_epi32(-cospi[26]);
      const __m256i cospi34 = _mm256_set1_epi32(cospi[34]);
      const __m256i cospi30 = _mm256_set1_epi32(cospi[30]);
      const __m256i cospim34 = _mm256_set1_epi32(-cospi[34]);
      const __m256i cospi42 = _mm256_set1_epi32(cospi[42]);
      const __m256i cospi22 = _mm256_set1_epi32(cospi[22]);
      const __m256i cospim42 = _mm256_set1_epi32(-cospi[42]);
      const __m256i cospi50 = _mm256_set1_epi32(cospi[50]);
      const __m256i cospi14 = _mm256_set1_epi32(cospi[14]);
      const __m256i cospim50 = _mm256_set1_epi32(-cospi[50]);
      const __m256i cospi58 = _mm256_set1_epi32(cospi[58]);
      const __m256i cospi6 = _mm256_set1_epi32(cospi[6]);
      const __m256i cospim58 = _mm256_set1_epi32(-cospi[58]);
      const __m256i rnding = _mm256_set1_epi32(1 << (bit - 1));
      const __m256i zero = _mm256_setzero_si256();
  
      __m256i u[16], v[16], x, y;
      int32_t col;
  
      for (col = 0; col < col_num; ++col) {
          // stage 0
          // stage 1
          u[0] = in[0 * col_num + col];
          u[1] = _mm256_sub_epi32(zero, in[15 * col_num + col]);
          u[2] = _mm256_sub_epi32(zero, in[7 * col_num + col]);
          u[3] = in[8 * col_num + col];
          u[4] = _mm256_sub_epi32(zero, in[3 * col_num + col]);
          u[5] = in[12 * col_num + col];
          u[6] = in[4 * col_num + col];
          u[7] = _mm256_sub_epi32(zero, in[11 * col_num + col]);
          u[8] = _mm256_sub_epi32(zero, in[1 * col_num + col]);
          u[9] = in[14 * col_num + col];
          u[10] = in[6 * col_num + col];
          u[11] = _mm256_sub_epi32(zero, in[9 * col_num + col]);
          u[12] = in[2 * col_num + col];
          u[13] = _mm256_sub_epi32(zero, in[13 * col_num + col]);
          u[14] = _mm256_sub_epi32(zero, in[5 * col_num + col]);
          u[15] = in[10 * col_num + col];
  
          // stage 2
          v[0] = u[0];
          v[1] = u[1];
  
          x = _mm256_mullo_epi32(u[2], cospi32);
          y = _mm256_mullo_epi32(u[3], cospi32);
          v[2] = _mm256_add_epi32(x, y);
          v[2] = _mm256_add_epi32(v[2], rnding);
          v[2] = _mm256_srai_epi32(v[2], bit);
  
          v[3] = _mm256_sub_epi32(x, y);
          v[3] = _mm256_add_epi32(v[3], rnding);
          v[3] = _mm256_srai_epi32(v[3], bit);
  
          v[4] = u[4];
          v[5] = u[5];
  
          x = _mm256_mullo_epi32(u[6], cospi32);
          y = _mm256_mullo_epi32(u[7], cospi32);
          v[6] = _mm256_add_epi32(x, y);
          v[6] = _mm256_add_epi32(v[6], rnding);
          v[6] = _mm256_srai_epi32(v[6], bit);
  
          v[7] = _mm256_sub_epi32(x, y);
          v[7] = _mm256_add_epi32(v[7], rnding);
          v[7] = _mm256_srai_epi32(v[7], bit);
  
          v[8] = u[8];
          v[9] = u[9];
  
          x = _mm256_mullo_epi32(u[10], cospi32);
          y = _mm256_mullo_epi32(u[11], cospi32);
          v[10] = _mm256_add_epi32(x, y);
          v[10] = _mm256_add_epi32(v[10], rnding);
          v[10] = _mm256_srai_epi32(v[10], bit);
  
          v[11] = _mm256_sub_epi32(x, y);
          v[11] = _mm256_add_epi32(v[11], rnding);
          v[11] = _mm256_srai_epi32(v[11], bit);
  
          v[12] = u[12];
          v[13] = u[13];
  
          x = _mm256_mullo_epi32(u[14], cospi32);
          y = _mm256_mullo_epi32(u[15], cospi32);
          v[14] = _mm256_add_epi32(x, y);
          v[14] = _mm256_add_epi32(v[14], rnding);
          v[14] = _mm256_srai_epi32(v[14], bit);
  
          v[15] = _mm256_sub_epi32(x, y);
          v[15] = _mm256_add_epi32(v[15], rnding);
          v[15] = _mm256_srai_epi32(v[15], bit);
  
          // stage 3
          u[0] = _mm256_add_epi32(v[0], v[2]);
          u[1] = _mm256_add_epi32(v[1], v[3]);
          u[2] = _mm256_sub_epi32(v[0], v[2]);
          u[3] = _mm256_sub_epi32(v[1], v[3]);
          u[4] = _mm256_add_epi32(v[4], v[6]);
          u[5] = _mm256_add_epi32(v[5], v[7]);
          u[6] = _mm256_sub_epi32(v[4], v[6]);
          u[7] = _mm256_sub_epi32(v[5], v[7]);
          u[8] = _mm256_add_epi32(v[8], v[10]);
          u[9] = _mm256_add_epi32(v[9], v[11]);
          u[10] = _mm256_sub_epi32(v[8], v[10]);
          u[11] = _mm256_sub_epi32(v[9], v[11]);
          u[12] = _mm256_add_epi32(v[12], v[14]);
          u[13] = _mm256_add_epi32(v[13], v[15]);
          u[14] = _mm256_sub_epi32(v[12], v[14]);
          u[15] = _mm256_sub_epi32(v[13], v[15]);
  
          // stage 4
          v[0] = u[0];
          v[1] = u[1];
          v[2] = u[2];
          v[3] = u[3];
          v[4] = half_btf_avx2(&cospi16, &u[4], &cospi48, &u[5], &rnding, bit);
          v[5] = half_btf_avx2(&cospi48, &u[4], &cospim16, &u[5], &rnding, bit);
          v[6] = half_btf_avx2(&cospim48, &u[6], &cospi16, &u[7], &rnding, bit);
          v[7] = half_btf_avx2(&cospi16, &u[6], &cospi48, &u[7], &rnding, bit);
          v[8] = u[8];
          v[9] = u[9];
          v[10] = u[10];
          v[11] = u[11];
          v[12] = half_btf_avx2(&cospi16, &u[12], &cospi48, &u[13], &rnding, bit);
          v[13] = half_btf_avx2(&cospi48, &u[12], &cospim16, &u[13], &rnding, bit);
          v[14] = half_btf_avx2(&cospim48, &u[14], &cospi16, &u[15], &rnding, bit);
          v[15] = half_btf_avx2(&cospi16, &u[14], &cospi48, &u[15], &rnding, bit);
  
          // stage 5
          u[0] = _mm256_add_epi32(v[0], v[4]);
          u[1] = _mm256_add_epi32(v[1], v[5]);
          u[2] = _mm256_add_epi32(v[2], v[6]);
          u[3] = _mm256_add_epi32(v[3], v[7]);
          u[4] = _mm256_sub_epi32(v[0], v[4]);
          u[5] = _mm256_sub_epi32(v[1], v[5]);
          u[6] = _mm256_sub_epi32(v[2], v[6]);
          u[7] = _mm256_sub_epi32(v[3], v[7]);
          u[8] = _mm256_add_epi32(v[8], v[12]);
          u[9] = _mm256_add_epi32(v[9], v[13]);
          u[10] = _mm256_add_epi32(v[10], v[14]);
          u[11] = _mm256_add_epi32(v[11], v[15]);
          u[12] = _mm256_sub_epi32(v[8], v[12]);
          u[13] = _mm256_sub_epi32(v[9], v[13]);
          u[14] = _mm256_sub_epi32(v[10], v[14]);
          u[15] = _mm256_sub_epi32(v[11], v[15]);
  
          // stage 6
          v[0] = u[0];
          v[1] = u[1];
          v[2] = u[2];
          v[3] = u[3];
          v[4] = u[4];
          v[5] = u[5];
          v[6] = u[6];
          v[7] = u[7];
          v[8] = half_btf_avx2(&cospi8, &u[8], &cospi56, &u[9], &rnding, bit);
          v[9] = half_btf_avx2(&cospi56, &u[8], &cospim8, &u[9], &rnding, bit);
          v[10] = half_btf_avx2(&cospi40, &u[10], &cospi24, &u[11], &rnding, bit);
          v[11] = half_btf_avx2(&cospi24, &u[10], &cospim40, &u[11], &rnding, bit);
          v[12] = half_btf_avx2(&cospim56, &u[12], &cospi8, &u[13], &rnding, bit);
          v[13] = half_btf_avx2(&cospi8, &u[12], &cospi56, &u[13], &rnding, bit);
          v[14] = half_btf_avx2(&cospim24, &u[14], &cospi40, &u[15], &rnding, bit);
          v[15] = half_btf_avx2(&cospi40, &u[14], &cospi24, &u[15], &rnding, bit);
  
          // stage 7
          u[0] = _mm256_add_epi32(v[0], v[8]);
          u[1] = _mm256_add_epi32(v[1], v[9]);
          u[2] = _mm256_add_epi32(v[2], v[10]);
          u[3] = _mm256_add_epi32(v[3], v[11]);
          u[4] = _mm256_add_epi32(v[4], v[12]);
          u[5] = _mm256_add_epi32(v[5], v[13]);
          u[6] = _mm256_add_epi32(v[6], v[14]);
          u[7] = _mm256_add_epi32(v[7], v[15]);
          u[8] = _mm256_sub_epi32(v[0], v[8]);
          u[9] = _mm256_sub_epi32(v[1], v[9]);
          u[10] = _mm256_sub_epi32(v[2], v[10]);
          u[11] = _mm256_sub_epi32(v[3], v[11]);
          u[12] = _mm256_sub_epi32(v[4], v[12]);
          u[13] = _mm256_sub_epi32(v[5], v[13]);
          u[14] = _mm256_sub_epi32(v[6], v[14]);
          u[15] = _mm256_sub_epi32(v[7], v[15]);
  
          // stage 8
          v[0] = half_btf_avx2(&cospi2, &u[0], &cospi62, &u[1], &rnding, bit);
          v[1] = half_btf_avx2(&cospi62, &u[0], &cospim2, &u[1], &rnding, bit);
          v[2] = half_btf_avx2(&cospi10, &u[2], &cospi54, &u[3], &rnding, bit);
          v[3] = half_btf_avx2(&cospi54, &u[2], &cospim10, &u[3], &rnding, bit);
          v[4] = half_btf_avx2(&cospi18, &u[4], &cospi46, &u[5], &rnding, bit);
          v[5] = half_btf_avx2(&cospi46, &u[4], &cospim18, &u[5], &rnding, bit);
          v[6] = half_btf_avx2(&cospi26, &u[6], &cospi38, &u[7], &rnding, bit);
          v[7] = half_btf_avx2(&cospi38, &u[6], &cospim26, &u[7], &rnding, bit);
          v[8] = half_btf_avx2(&cospi34, &u[8], &cospi30, &u[9], &rnding, bit);
          v[9] = half_btf_avx2(&cospi30, &u[8], &cospim34, &u[9], &rnding, bit);
          v[10] = half_btf_avx2(&cospi42, &u[10], &cospi22, &u[11], &rnding, bit);
          v[11] = half_btf_avx2(&cospi22, &u[10], &cospim42, &u[11], &rnding, bit);
          v[12] = half_btf_avx2(&cospi50, &u[12], &cospi14, &u[13], &rnding, bit);
          v[13] = half_btf_avx2(&cospi14, &u[12], &cospim50, &u[13], &rnding, bit);
          v[14] = half_btf_avx2(&cospi58, &u[14], &cospi6, &u[15], &rnding, bit);
          v[15] = half_btf_avx2(&cospi6, &u[14], &cospim58, &u[15], &rnding, bit);
  
          // stage 9
          out[0 * col_num + col] = v[1];
          out[1 * col_num + col] = v[14];
          out[2 * col_num + col] = v[3];
          out[3 * col_num + col] = v[12];
          out[4 * col_num + col] = v[5];
          out[5 * col_num + col] = v[10];
          out[6 * col_num + col] = v[7];
          out[7 * col_num + col] = v[8];
          out[8 * col_num + col] = v[9];
          out[9 * col_num + col] = v[6];
          out[10 * col_num + col] = v[11];
          out[11 * col_num + col] = v[4];
          out[12 * col_num + col] = v[13];
          out[13 * col_num + col] = v[2];
          out[14 * col_num + col] = v[15];
          out[15 * col_num + col] = v[0];
      }
  }
  
  void av1_fwd_txfm2d_16x16_avx2(int16_t *input, int32_t *coeff, uint32_t stride, TxType tx_type, uint8_t  bd)
  {
      __m256i in[32], out[32];
      const int8_t *shift = fwd_txfm_shift_ls[TX_16X16];
      const int32_t txw_idx = get_txw_idx(TX_16X16);
      const int32_t txh_idx = get_txh_idx(TX_16X16);
      const int32_t col_num = 2;
      switch (tx_type) {
      case IDTX:
          load_buffer_16x16(input, in, stride, 0, 0, shift[0]);
          fidtx16x16_avx2(in, out, fwd_cos_bit_col[txw_idx][txh_idx], col_num);
          col_txfm_16x16_rounding(out, -shift[1]);
          fidtx16x16_avx2(out, out, fwd_cos_bit_row[txw_idx][txh_idx], col_num);
          write_buffer_16x16(out, coeff);
          break;
      case DCT_DCT:
          load_buffer_16x16(input, in, stride, 0, 0, shift[0]);
          fdct16x16_avx2(in, out, fwd_cos_bit_col[txw_idx][txh_idx], col_num);
          col_txfm_16x16_rounding(out, -shift[1]);
          transpose_16x16_avx2(out, in);
          fdct16x16_avx2(in, out, fwd_cos_bit_row[txw_idx][txh_idx], col_num);
          transpose_16x16_avx2(out, in);
          write_buffer_16x16(in, coeff);
          break;
      case ADST_DCT:
          load_buffer_16x16(input, in, stride, 0, 0, shift[0]);
          fadst16x16_avx2(in, out, fwd_cos_bit_col[txw_idx][txh_idx], col_num);
          col_txfm_16x16_rounding(out, -shift[1]);
          transpose_16x16_avx2(out, in);
          fdct16x16_avx2(in, out, fwd_cos_bit_row[txw_idx][txh_idx], col_num);
          transpose_16x16_avx2(out, in);
          write_buffer_16x16(in, coeff);
          break;
      case DCT_ADST:
          load_buffer_16x16(input, in, stride, 0, 0, shift[0]);
          fdct16x16_avx2(in, out, fwd_cos_bit_col[txw_idx][txh_idx], col_num);
          col_txfm_16x16_rounding(out, -shift[1]);
          transpose_16x16_avx2(out, in);
          fadst16x16_avx2(in, out, fwd_cos_bit_row[txw_idx][txh_idx], col_num);
          transpose_16x16_avx2(out, in);
          write_buffer_16x16(in, coeff);
          break;
      case ADST_ADST:
          load_buffer_16x16(input, in, stride, 0, 0, shift[0]);
          fadst16x16_avx2(in, out, fwd_cos_bit_col[txw_idx][txh_idx], col_num);
          col_txfm_16x16_rounding(out, -shift[1]);
          transpose_16x16_avx2(out, in);
          fadst16x16_avx2(in, out, fwd_cos_bit_row[txw_idx][txh_idx], col_num);
          transpose_16x16_avx2(out, in);
          write_buffer_16x16(in, coeff);
          break;
      case DCT_FLIPADST:
          load_buffer_16x16(input, in, stride, 0, 1, shift[0]);
          fdct16x16_avx2(in, out, fwd_cos_bit_col[txw_idx][txh_idx], col_num);
          col_txfm_16x16_rounding(out, -shift[1]);
          transpose_16x16_avx2(out, in);
          fadst16x16_avx2(in, out, fwd_cos_bit_row[txw_idx][txh_idx], col_num);
          transpose_16x16_avx2(out, in);
          write_buffer_16x16(in, coeff);
          break;
      case FLIPADST_DCT:
          load_buffer_16x16(input, in, stride, 1, 0, shift[0]);
          fadst16x16_avx2(in, out, fwd_cos_bit_col[txw_idx][txh_idx], col_num);
          col_txfm_16x16_rounding(out, -shift[1]);
          transpose_16x16_avx2(out, in);
          fdct16x16_avx2(in, out, fwd_cos_bit_row[txw_idx][txh_idx], col_num);
          transpose_16x16_avx2(out, in);
          write_buffer_16x16(in, coeff);
          break;
      case FLIPADST_FLIPADST:
          load_buffer_16x16(input, in, stride, 1, 1, shift[0]);
          fadst16x16_avx2(in, out, fwd_cos_bit_col[txw_idx][txh_idx], col_num);
          col_txfm_16x16_rounding(out, -shift[1]);
          transpose_16x16_avx2(out, in);
          fadst16x16_avx2(in, out, fwd_cos_bit_row[txw_idx][txh_idx], col_num);
          transpose_16x16_avx2(out, in);
          write_buffer_16x16(in, coeff);
          break;
      case ADST_FLIPADST:
          load_buffer_16x16(input, in, stride, 0, 1, shift[0]);
          fadst16x16_avx2(in, out, fwd_cos_bit_col[txw_idx][txh_idx], col_num);
          col_txfm_16x16_rounding(out, -shift[1]);
          transpose_16x16_avx2(out, in);
          fadst16x16_avx2(in, out, fwd_cos_bit_row[txw_idx][txh_idx], col_num);
          transpose_16x16_avx2(out, in);
          write_buffer_16x16(in, coeff);
          break;
      case FLIPADST_ADST:
          load_buffer_16x16(input, in, stride, 1, 0, shift[0]);
          fadst16x16_avx2(in, out, fwd_cos_bit_col[txw_idx][txh_idx], col_num);
          col_txfm_16x16_rounding(out, -shift[1]);
          transpose_16x16_avx2(out, in);
          fadst16x16_avx2(in, out, fwd_cos_bit_row[txw_idx][txh_idx], col_num);
          transpose_16x16_avx2(out, in);
          write_buffer_16x16(in, coeff);
          break;
      case V_DCT:
          load_buffer_16x16(input, in, stride, 0, 0, shift[0]);
          fdct16x16_avx2(in, out, fwd_cos_bit_col[txw_idx][txh_idx], col_num);
          col_txfm_16x16_rounding(out, -shift[1]);
          fidtx16x16_avx2(out, out, fwd_cos_bit_row[txw_idx][txh_idx], col_num);
          write_buffer_16x16(out, coeff);
          break;
      case H_DCT:
          load_buffer_16x16(input, in, stride, 0, 0, shift[0]);
          fidtx16x16_avx2(in, in, fwd_cos_bit_col[txw_idx][txh_idx], col_num);
          col_txfm_16x16_rounding(in, -shift[1]);
          transpose_16x16_avx2(in, out);
          fdct16x16_avx2(out, in, fwd_cos_bit_row[txw_idx][txh_idx], col_num);
          transpose_16x16_avx2(in, out);
          write_buffer_16x16(out, coeff);
          break;
      case V_ADST:
          load_buffer_16x16(input, in, stride, 0, 0, shift[0]);
          fadst16x16_avx2(in, out, fwd_cos_bit_col[txw_idx][txh_idx], col_num);
          col_txfm_16x16_rounding(out, -shift[1]);
          fidtx16x16_avx2(out, out, fwd_cos_bit_row[txw_idx][txh_idx], col_num);
          write_buffer_16x16(out, coeff);
          break;
      case H_ADST:
          load_buffer_16x16(input, in, stride, 0, 0, shift[0]);
          fidtx16x16_avx2(in, in, fwd_cos_bit_col[txw_idx][txh_idx], col_num);
          col_txfm_16x16_rounding(in, -shift[1]);
          transpose_16x16_avx2(in, out);
          fadst16x16_avx2(out, in, fwd_cos_bit_row[txw_idx][txh_idx], col_num);
          transpose_16x16_avx2(in, out);
          write_buffer_16x16(out, coeff);
          break;
      case V_FLIPADST:
          load_buffer_16x16(input, in, stride, 1, 0, shift[0]);
          fadst16x16_avx2(in, out, fwd_cos_bit_col[txw_idx][txh_idx], col_num);
          col_txfm_16x16_rounding(out, -shift[1]);
          fidtx16x16_avx2(out, out, fwd_cos_bit_row[txw_idx][txh_idx], col_num);
          write_buffer_16x16(out, coeff);
          break;
      case H_FLIPADST:
          load_buffer_16x16(input, in, stride, 0, 1, shift[0]);
          fidtx16x16_avx2(in, in, fwd_cos_bit_col[txw_idx][txh_idx], col_num);
          col_txfm_16x16_rounding(in, -shift[1]);
          transpose_16x16_avx2(in, out);
          fadst16x16_avx2(out, in, fwd_cos_bit_row[txw_idx][txh_idx], col_num);
          transpose_16x16_avx2(in, out);
          write_buffer_16x16(out, coeff);
          break;
      default: assert(0);
      }
      (void)bd;
  }
  
  static void av1_fdct32_new_avx2(const __m256i *input, __m256i *output,
      int8_t cos_bit, const int32_t col_num, const int32_t stride) {
      const int32_t *cospi = cospi_arr(cos_bit);
      const __m256i __rounding = _mm256_set1_epi32(1 << (cos_bit - 1));
      const int32_t columns = col_num >> 3;
  
      __m256i cospi_m32 = _mm256_set1_epi32(-cospi[32]);
      __m256i cospi_p32 = _mm256_set1_epi32(cospi[32]);
      __m256i cospi_m16 = _mm256_set1_epi32(-cospi[16]);
      __m256i cospi_p48 = _mm256_set1_epi32(cospi[48]);
      __m256i cospi_m48 = _mm256_set1_epi32(-cospi[48]);
      __m256i cospi_m08 = _mm256_set1_epi32(-cospi[8]);
      __m256i cospi_p56 = _mm256_set1_epi32(cospi[56]);
      __m256i cospi_m56 = _mm256_set1_epi32(-cospi[56]);
      __m256i cospi_p40 = _mm256_set1_epi32(cospi[40]);
      __m256i cospi_m40 = _mm256_set1_epi32(-cospi[40]);
      __m256i cospi_p24 = _mm256_set1_epi32(cospi[24]);
      __m256i cospi_m24 = _mm256_set1_epi32(-cospi[24]);
      __m256i cospi_p16 = _mm256_set1_epi32(cospi[16]);
      __m256i cospi_p08 = _mm256_set1_epi32(cospi[8]);
      __m256i cospi_p04 = _mm256_set1_epi32(cospi[4]);
      __m256i cospi_p60 = _mm256_set1_epi32(cospi[60]);
      __m256i cospi_p36 = _mm256_set1_epi32(cospi[36]);
      __m256i cospi_p28 = _mm256_set1_epi32(cospi[28]);
      __m256i cospi_p20 = _mm256_set1_epi32(cospi[20]);
      __m256i cospi_p44 = _mm256_set1_epi32(cospi[44]);
      __m256i cospi_p52 = _mm256_set1_epi32(cospi[52]);
      __m256i cospi_p12 = _mm256_set1_epi32(cospi[12]);
      __m256i cospi_p02 = _mm256_set1_epi32(cospi[2]);
      __m256i cospi_p06 = _mm256_set1_epi32(cospi[6]);
      __m256i cospi_p62 = _mm256_set1_epi32(cospi[62]);
      __m256i cospi_p34 = _mm256_set1_epi32(cospi[34]);
      __m256i cospi_p30 = _mm256_set1_epi32(cospi[30]);
      __m256i cospi_p18 = _mm256_set1_epi32(cospi[18]);
      __m256i cospi_p46 = _mm256_set1_epi32(cospi[46]);
      __m256i cospi_p50 = _mm256_set1_epi32(cospi[50]);
      __m256i cospi_p14 = _mm256_set1_epi32(cospi[14]);
      __m256i cospi_p10 = _mm256_set1_epi32(cospi[10]);
      __m256i cospi_p54 = _mm256_set1_epi32(cospi[54]);
      __m256i cospi_p42 = _mm256_set1_epi32(cospi[42]);
      __m256i cospi_p22 = _mm256_set1_epi32(cospi[22]);
      __m256i cospi_p26 = _mm256_set1_epi32(cospi[26]);
      __m256i cospi_p38 = _mm256_set1_epi32(cospi[38]);
      __m256i cospi_p58 = _mm256_set1_epi32(cospi[58]);
  
      __m256i buf0[32];
      __m256i buf1[32];
  
      for (int32_t col = 0; col < columns; col++) {
          const __m256i *in = &input[col];
          __m256i *out = &output[col];
  
          // stage 0
          // stage 1
          buf1[0] = _mm256_add_epi32(in[0 * stride], in[31 * stride]);
          buf1[31] = _mm256_sub_epi32(in[0 * stride], in[31 * stride]);
          buf1[1] = _mm256_add_epi32(in[1 * stride], in[30 * stride]);
          buf1[30] = _mm256_sub_epi32(in[1 * stride], in[30 * stride]);
          buf1[2] = _mm256_add_epi32(in[2 * stride], in[29 * stride]);
          buf1[29] = _mm256_sub_epi32(in[2 * stride], in[29 * stride]);
          buf1[3] = _mm256_add_epi32(in[3 * stride], in[28 * stride]);
          buf1[28] = _mm256_sub_epi32(in[3 * stride], in[28 * stride]);
          buf1[4] = _mm256_add_epi32(in[4 * stride], in[27 * stride]);
          buf1[27] = _mm256_sub_epi32(in[4 * stride], in[27 * stride]);
          buf1[5] = _mm256_add_epi32(in[5 * stride], in[26 * stride]);
          buf1[26] = _mm256_sub_epi32(in[5 * stride], in[26 * stride]);
          buf1[6] = _mm256_add_epi32(in[6 * stride], in[25 * stride]);
          buf1[25] = _mm256_sub_epi32(in[6 * stride], in[25 * stride]);
          buf1[7] = _mm256_add_epi32(in[7 * stride], in[24 * stride]);
          buf1[24] = _mm256_sub_epi32(in[7 * stride], in[24 * stride]);
          buf1[8] = _mm256_add_epi32(in[8 * stride], in[23 * stride]);
          buf1[23] = _mm256_sub_epi32(in[8 * stride], in[23 * stride]);
          buf1[9] = _mm256_add_epi32(in[9 * stride], in[22 * stride]);
          buf1[22] = _mm256_sub_epi32(in[9 * stride], in[22 * stride]);
          buf1[10] = _mm256_add_epi32(in[10 * stride], in[21 * stride]);
          buf1[21] = _mm256_sub_epi32(in[10 * stride], in[21 * stride]);
          buf1[11] = _mm256_add_epi32(in[11 * stride], in[20 * stride]);
          buf1[20] = _mm256_sub_epi32(in[11 * stride], in[20 * stride]);
          buf1[12] = _mm256_add_epi32(in[12 * stride], in[19 * stride]);
          buf1[19] = _mm256_sub_epi32(in[12 * stride], in[19 * stride]);
          buf1[13] = _mm256_add_epi32(in[13 * stride], in[18 * stride]);
          buf1[18] = _mm256_sub_epi32(in[13 * stride], in[18 * stride]);
          buf1[14] = _mm256_add_epi32(in[14 * stride], in[17 * stride]);
          buf1[17] = _mm256_sub_epi32(in[14 * stride], in[17 * stride]);
          buf1[15] = _mm256_add_epi32(in[15 * stride], in[16 * stride]);
          buf1[16] = _mm256_sub_epi32(in[15 * stride], in[16 * stride]);
  
          // stage 2
          buf0[0] = _mm256_add_epi32(buf1[0], buf1[15]);
          buf0[15] = _mm256_sub_epi32(buf1[0], buf1[15]);
          buf0[1] = _mm256_add_epi32(buf1[1], buf1[14]);
          buf0[14] = _mm256_sub_epi32(buf1[1], buf1[14]);
          buf0[2] = _mm256_add_epi32(buf1[2], buf1[13]);
          buf0[13] = _mm256_sub_epi32(buf1[2], buf1[13]);
          buf0[3] = _mm256_add_epi32(buf1[3], buf1[12]);
          buf0[12] = _mm256_sub_epi32(buf1[3], buf1[12]);
          buf0[4] = _mm256_add_epi32(buf1[4], buf1[11]);
          buf0[11] = _mm256_sub_epi32(buf1[4], buf1[11]);
          buf0[5] = _mm256_add_epi32(buf1[5], buf1[10]);
          buf0[10] = _mm256_sub_epi32(buf1[5], buf1[10]);
          buf0[6] = _mm256_add_epi32(buf1[6], buf1[9]);
          buf0[9] = _mm256_sub_epi32(buf1[6], buf1[9]);
          buf0[7] = _mm256_add_epi32(buf1[7], buf1[8]);
          buf0[8] = _mm256_sub_epi32(buf1[7], buf1[8]);
          buf0[16] = buf1[16];
          buf0[17] = buf1[17];
          buf0[18] = buf1[18];
          buf0[19] = buf1[19];
          btf_32_type0_avx2_new(cospi_m32, cospi_p32, buf1[20], buf1[27],
              buf0[20], buf0[27], __rounding, cos_bit);
          btf_32_type0_avx2_new(cospi_m32, cospi_p32, buf1[21], buf1[26],
              buf0[21], buf0[26], __rounding, cos_bit);
          btf_32_type0_avx2_new(cospi_m32, cospi_p32, buf1[22], buf1[25],
              buf0[22], buf0[25], __rounding, cos_bit);
          btf_32_type0_avx2_new(cospi_m32, cospi_p32, buf1[23], buf1[24],
              buf0[23], buf0[24], __rounding, cos_bit);
          buf0[28] = buf1[28];
          buf0[29] = buf1[29];
          buf0[30] = buf1[30];
          buf0[31] = buf1[31];
  
          // stage 3
          buf1[0] = _mm256_add_epi32(buf0[0], buf0[7]);
          buf1[7] = _mm256_sub_epi32(buf0[0], buf0[7]);
          buf1[1] = _mm256_add_epi32(buf0[1], buf0[6]);
          buf1[6] = _mm256_sub_epi32(buf0[1], buf0[6]);
          buf1[2] = _mm256_add_epi32(buf0[2], buf0[5]);
          buf1[5] = _mm256_sub_epi32(buf0[2], buf0[5]);
          buf1[3] = _mm256_add_epi32(buf0[3], buf0[4]);
          buf1[4] = _mm256_sub_epi32(buf0[3], buf0[4]);
          buf1[8] = buf0[8];
          buf1[9] = buf0[9];
          btf_32_type0_avx2_new(cospi_m32, cospi_p32, buf0[10], buf0[13],
              buf1[10], buf1[13], __rounding, cos_bit);
          btf_32_type0_avx2_new(cospi_m32, cospi_p32, buf0[11], buf0[12],
              buf1[11], buf1[12], __rounding, cos_bit);
          buf1[14] = buf0[14];
          buf1[15] = buf0[15];
          buf1[16] = _mm256_add_epi32(buf0[16], buf0[23]);
          buf1[23] = _mm256_sub_epi32(buf0[16], buf0[23]);
          buf1[17] = _mm256_add_epi32(buf0[17], buf0[22]);
          buf1[22] = _mm256_sub_epi32(buf0[17], buf0[22]);
          buf1[18] = _mm256_add_epi32(buf0[18], buf0[21]);
          buf1[21] = _mm256_sub_epi32(buf0[18], buf0[21]);
          buf1[19] = _mm256_add_epi32(buf0[19], buf0[20]);
          buf1[20] = _mm256_sub_epi32(buf0[19], buf0[20]);
          buf1[24] = _mm256_sub_epi32(buf0[31], buf0[24]);
          buf1[31] = _mm256_add_epi32(buf0[31], buf0[24]);
          buf1[25] = _mm256_sub_epi32(buf0[30], buf0[25]);
          buf1[30] = _mm256_add_epi32(buf0[30], buf0[25]);
          buf1[26] = _mm256_sub_epi32(buf0[29], buf0[26]);
          buf1[29] = _mm256_add_epi32(buf0[29], buf0[26]);
          buf1[27] = _mm256_sub_epi32(buf0[28], buf0[27]);
          buf1[28] = _mm256_add_epi32(buf0[28], buf0[27]);
  
          // stage 4
          buf0[0] = _mm256_add_epi32(buf1[0], buf1[3]);
          buf0[3] = _mm256_sub_epi32(buf1[0], buf1[3]);
          buf0[1] = _mm256_add_epi32(buf1[1], buf1[2]);
          buf0[2] = _mm256_sub_epi32(buf1[1], buf1[2]);
          buf0[4] = buf1[4];
          btf_32_type0_avx2_new(cospi_m32, cospi_p32, buf1[5], buf1[6],
              buf0[5], buf0[6], __rounding, cos_bit);
          buf0[7] = buf1[7];
          buf0[8] = _mm256_add_epi32(buf1[8], buf1[11]);
          buf0[11] = _mm256_sub_epi32(buf1[8], buf1[11]);
          buf0[9] = _mm256_add_epi32(buf1[9], buf1[10]);
          buf0[10] = _mm256_sub_epi32(buf1[9], buf1[10]);
          buf0[12] = _mm256_sub_epi32(buf1[15], buf1[12]);
          buf0[15] = _mm256_add_epi32(buf1[15], buf1[12]);
          buf0[13] = _mm256_sub_epi32(buf1[14], buf1[13]);
          buf0[14] = _mm256_add_epi32(buf1[14], buf1[13]);
          buf0[16] = buf1[16];
          buf0[17] = buf1[17];
          btf_32_type0_avx2_new(cospi_m16, cospi_p48, buf1[18], buf1[29],
              buf0[18], buf0[29], __rounding, cos_bit);
          btf_32_type0_avx2_new(cospi_m16, cospi_p48, buf1[19], buf1[28],
              buf0[19], buf0[28], __rounding, cos_bit);
          btf_32_type0_avx2_new(cospi_m48, cospi_m16, buf1[20], buf1[27],
              buf0[20], buf0[27], __rounding, cos_bit);
          btf_32_type0_avx2_new(cospi_m48, cospi_m16, buf1[21], buf1[26],
              buf0[21], buf0[26], __rounding, cos_bit);
          buf0[22] = buf1[22];
          buf0[23] = buf1[23];
          buf0[24] = buf1[24];
          buf0[25] = buf1[25];
          buf0[30] = buf1[30];
          buf0[31] = buf1[31];
  
          // stage 5
          btf_32_type0_avx2_new(cospi_p32, cospi_p32, buf0[0], buf0[1],
              buf1[0], buf1[1], __rounding, cos_bit);
          btf_32_type1_avx2_new(cospi_p48, cospi_p16, buf0[2], buf0[3],
              buf1[2], buf1[3], __rounding, cos_bit);
          buf1[4] = _mm256_add_epi32(buf0[4], buf0[5]);
          buf1[5] = _mm256_sub_epi32(buf0[4], buf0[5]);
          buf1[6] = _mm256_sub_epi32(buf0[7], buf0[6]);
          buf1[7] = _mm256_add_epi32(buf0[7], buf0[6]);
          buf1[8] = buf0[8];
          btf_32_type0_avx2_new(cospi_m16, cospi_p48, buf0[9], buf0[14],
              buf1[9], buf1[14], __rounding, cos_bit);
          btf_32_type0_avx2_new(cospi_m48, cospi_m16, buf0[10], buf0[13],
              buf1[10], buf1[13], __rounding, cos_bit);
          buf1[11] = buf0[11];
          buf1[12] = buf0[12];
          buf1[15] = buf0[15];
          buf1[16] = _mm256_add_epi32(buf0[16], buf0[19]);
          buf1[19] = _mm256_sub_epi32(buf0[16], buf0[19]);
          buf1[17] = _mm256_add_epi32(buf0[17], buf0[18]);
          buf1[18] = _mm256_sub_epi32(buf0[17], buf0[18]);
          buf1[20] = _mm256_sub_epi32(buf0[23], buf0[20]);
          buf1[23] = _mm256_add_epi32(buf0[23], buf0[20]);
          buf1[21] = _mm256_sub_epi32(buf0[22], buf0[21]);
          buf1[22] = _mm256_add_epi32(buf0[22], buf0[21]);
          buf1[24] = _mm256_add_epi32(buf0[24], buf0[27]);
          buf1[27] = _mm256_sub_epi32(buf0[24], buf0[27]);
          buf1[25] = _mm256_add_epi32(buf0[25], buf0[26]);
          buf1[26] = _mm256_sub_epi32(buf0[25], buf0[26]);
          buf1[28] = _mm256_sub_epi32(buf0[31], buf0[28]);
          buf1[31] = _mm256_add_epi32(buf0[31], buf0[28]);
          buf1[29] = _mm256_sub_epi32(buf0[30], buf0[29]);
          buf1[30] = _mm256_add_epi32(buf0[30], buf0[29]);
  
          // stage 6
          buf0[0] = buf1[0];
          buf0[1] = buf1[1];
          buf0[2] = buf1[2];
          buf0[3] = buf1[3];
          btf_32_type1_avx2_new(cospi_p56, cospi_p08, buf1[4], buf1[7],
              buf0[4], buf0[7], __rounding, cos_bit);
          btf_32_type1_avx2_new(cospi_p24, cospi_p40, buf1[5], buf1[6],
              buf0[5], buf0[6], __rounding, cos_bit);
          buf0[8] = _mm256_add_epi32(buf1[8], buf1[9]);
          buf0[9] = _mm256_sub_epi32(buf1[8], buf1[9]);
          buf0[10] = _mm256_sub_epi32(buf1[11], buf1[10]);
          buf0[11] = _mm256_add_epi32(buf1[11], buf1[10]);
          buf0[12] = _mm256_add_epi32(buf1[12], buf1[13]);
          buf0[13] = _mm256_sub_epi32(buf1[12], buf1[13]);
          buf0[14] = _mm256_sub_epi32(buf1[15], buf1[14]);
          buf0[15] = _mm256_add_epi32(buf1[15], buf1[14]);
          buf0[16] = buf1[16];
          btf_32_type0_avx2_new(cospi_m08, cospi_p56, buf1[17], buf1[30],
              buf0[17], buf0[30], __rounding, cos_bit);
          btf_32_type0_avx2_new(cospi_m56, cospi_m08, buf1[18], buf1[29],
              buf0[18],
              buf0[29], __rounding, cos_bit);
          buf0[19] = buf1[19];
          buf0[20] = buf1[20];
          btf_32_type0_avx2_new(cospi_m40, cospi_p24, buf1[21], buf1[26],
              buf0[21], buf0[26], __rounding, cos_bit);
          btf_32_type0_avx2_new(cospi_m24, cospi_m40, buf1[22], buf1[25],
              buf0[22], buf0[25], __rounding, cos_bit);
          buf0[23] = buf1[23];
          buf0[24] = buf1[24];
          buf0[27] = buf1[27];
          buf0[28] = buf1[28];
          buf0[31] = buf1[31];
  
          // stage 7
          buf1[0] = buf0[0];
          buf1[1] = buf0[1];
          buf1[2] = buf0[2];
          buf1[3] = buf0[3];
          buf1[4] = buf0[4];
          buf1[5] = buf0[5];
          buf1[6] = buf0[6];
          buf1[7] = buf0[7];
          btf_32_type1_avx2_new(cospi_p60, cospi_p04, buf0[8], buf0[15],
              buf1[8], buf1[15], __rounding, cos_bit);
          btf_32_type1_avx2_new(cospi_p28, cospi_p36, buf0[9], buf0[14],
              buf1[9], buf1[14], __rounding, cos_bit);
          btf_32_type1_avx2_new(cospi_p44, cospi_p20, buf0[10], buf0[13],
              buf1[10], buf1[13], __rounding, cos_bit);
          btf_32_type1_avx2_new(cospi_p12, cospi_p52, buf0[11], buf0[12],
              buf1[11], buf1[12], __rounding, cos_bit);
          buf1[16] = _mm256_add_epi32(buf0[16], buf0[17]);
          buf1[17] = _mm256_sub_epi32(buf0[16], buf0[17]);
          buf1[18] = _mm256_sub_epi32(buf0[19], buf0[18]);
          buf1[19] = _mm256_add_epi32(buf0[19], buf0[18]);
          buf1[20] = _mm256_add_epi32(buf0[20], buf0[21]);
          buf1[21] = _mm256_sub_epi32(buf0[20], buf0[21]);
          buf1[22] = _mm256_sub_epi32(buf0[23], buf0[22]);
          buf1[23] = _mm256_add_epi32(buf0[23], buf0[22]);
          buf1[24] = _mm256_add_epi32(buf0[24], buf0[25]);
          buf1[25] = _mm256_sub_epi32(buf0[24], buf0[25]);
          buf1[26] = _mm256_sub_epi32(buf0[27], buf0[26]);
          buf1[27] = _mm256_add_epi32(buf0[27], buf0[26]);
          buf1[28] = _mm256_add_epi32(buf0[28], buf0[29]);
          buf1[29] = _mm256_sub_epi32(buf0[28], buf0[29]);
          buf1[30] = _mm256_sub_epi32(buf0[31], buf0[30]);
          buf1[31] = _mm256_add_epi32(buf0[31], buf0[30]);
  
          // stage 8
          buf0[0] = buf1[0];
          buf0[1] = buf1[1];
          buf0[2] = buf1[2];
          buf0[3] = buf1[3];
          buf0[4] = buf1[4];
          buf0[5] = buf1[5];
          buf0[6] = buf1[6];
          buf0[7] = buf1[7];
          buf0[8] = buf1[8];
          buf0[9] = buf1[9];
          buf0[10] = buf1[10];
          buf0[11] = buf1[11];
          buf0[12] = buf1[12];
          buf0[13] = buf1[13];
          buf0[14] = buf1[14];
          buf0[15] = buf1[15];
          btf_32_type1_avx2_new(cospi_p62, cospi_p02, buf1[16], buf1[31],
              buf0[16], buf0[31], __rounding, cos_bit);
          btf_32_type1_avx2_new(cospi_p30, cospi_p34, buf1[17], buf1[30],
              buf0[17], buf0[30], __rounding, cos_bit);
          btf_32_type1_avx2_new(cospi_p46, cospi_p18, buf1[18], buf1[29],
              buf0[18], buf0[29], __rounding, cos_bit);
          btf_32_type1_avx2_new(cospi_p14, cospi_p50, buf1[19], buf1[28],
              buf0[19], buf0[28], __rounding, cos_bit);
          btf_32_type1_avx2_new(cospi_p54, cospi_p10, buf1[20], buf1[27],
              buf0[20], buf0[27], __rounding, cos_bit);
          btf_32_type1_avx2_new(cospi_p22, cospi_p42, buf1[21], buf1[26],
              buf0[21], buf0[26], __rounding, cos_bit);
          btf_32_type1_avx2_new(cospi_p38, cospi_p26, buf1[22], buf1[25],
              buf0[22], buf0[25], __rounding, cos_bit);
          btf_32_type1_avx2_new(cospi_p06, cospi_p58, buf1[23], buf1[24],
              buf0[23], buf0[24], __rounding, cos_bit);
  
          // stage 9
          out[0 * stride] = buf0[0];
          out[1 * stride] = buf0[16];
          out[2 * stride] = buf0[8];
          out[3 * stride] = buf0[24];
          out[4 * stride] = buf0[4];
          out[5 * stride] = buf0[20];
          out[6 * stride] = buf0[12];
          out[7 * stride] = buf0[28];
          out[8 * stride] = buf0[2];
          out[9 * stride] = buf0[18];
          out[10 * stride] = buf0[10];
          out[11 * stride] = buf0[26];
          out[12 * stride] = buf0[6];
          out[13 * stride] = buf0[22];
          out[14 * stride] = buf0[14];
          out[15 * stride] = buf0[30];
          out[16 * stride] = buf0[1];
          out[17 * stride] = buf0[17];
          out[18 * stride] = buf0[9];
          out[19 * stride] = buf0[25];
          out[20 * stride] = buf0[5];
          out[21 * stride] = buf0[21];
          out[22 * stride] = buf0[13];
          out[23 * stride] = buf0[29];
          out[24 * stride] = buf0[3];
          out[25 * stride] = buf0[19];
          out[26 * stride] = buf0[11];
          out[27 * stride] = buf0[27];
          out[28 * stride] = buf0[7];
          out[29 * stride] = buf0[23];
          out[30 * stride] = buf0[15];
          out[31 * stride] = buf0[31];
      }
  }
  
  static void av1_fdct32_new_line_wraper_avx2(const __m256i *input,
      __m256i *output, int8_t cos_bit, const int32_t stride) {
      av1_fdct32_new_avx2(input, output, cos_bit, 8, stride);
  }
  
  static void av1_fdct64_new_avx2(const __m256i *input, __m256i *output,
      int8_t cos_bit, const int32_t col_num, const int32_t stride) {
      const int32_t *cospi = cospi_arr(cos_bit);
      const __m256i __rounding = _mm256_set1_epi32(1 << (cos_bit - 1));
      const int32_t columns = col_num >> 3;
  
      __m256i cospi_m32 = _mm256_set1_epi32(-cospi[32]);
      __m256i cospi_p32 = _mm256_set1_epi32(cospi[32]);
      __m256i cospi_m16 = _mm256_set1_epi32(-cospi[16]);
      __m256i cospi_p48 = _mm256_set1_epi32(cospi[48]);
      __m256i cospi_m48 = _mm256_set1_epi32(-cospi[48]);
      __m256i cospi_p16 = _mm256_set1_epi32(cospi[16]);
      __m256i cospi_m08 = _mm256_set1_epi32(-cospi[8]);
      __m256i cospi_p56 = _mm256_set1_epi32(cospi[56]);
      __m256i cospi_m56 = _mm256_set1_epi32(-cospi[56]);
      __m256i cospi_m40 = _mm256_set1_epi32(-cospi[40]);
      __m256i cospi_p24 = _mm256_set1_epi32(cospi[24]);
      __m256i cospi_m24 = _mm256_set1_epi32(-cospi[24]);
      __m256i cospi_p08 = _mm256_set1_epi32(cospi[8]);
      __m256i cospi_p40 = _mm256_set1_epi32(cospi[40]);
      __m256i cospi_p60 = _mm256_set1_epi32(cospi[60]);
      __m256i cospi_p04 = _mm256_set1_epi32(cospi[4]);
      __m256i cospi_p28 = _mm256_set1_epi32(cospi[28]);
      __m256i cospi_p36 = _mm256_set1_epi32(cospi[36]);
      __m256i cospi_p44 = _mm256_set1_epi32(cospi[44]);
      __m256i cospi_p20 = _mm256_set1_epi32(cospi[20]);
      __m256i cospi_p12 = _mm256_set1_epi32(cospi[12]);
      __m256i cospi_p52 = _mm256_set1_epi32(cospi[52]);
      __m256i cospi_m04 = _mm256_set1_epi32(-cospi[4]);
      __m256i cospi_m60 = _mm256_set1_epi32(-cospi[60]);
      __m256i cospi_m36 = _mm256_set1_epi32(-cospi[36]);
      __m256i cospi_m28 = _mm256_set1_epi32(-cospi[28]);
      __m256i cospi_m20 = _mm256_set1_epi32(-cospi[20]);
      __m256i cospi_m44 = _mm256_set1_epi32(-cospi[44]);
      __m256i cospi_m52 = _mm256_set1_epi32(-cospi[52]);
      __m256i cospi_m12 = _mm256_set1_epi32(-cospi[12]);
      __m256i cospi_p62 = _mm256_set1_epi32(cospi[62]);
      __m256i cospi_p02 = _mm256_set1_epi32(cospi[2]);
      __m256i cospi_p30 = _mm256_set1_epi32(cospi[30]);
      __m256i cospi_p34 = _mm256_set1_epi32(cospi[34]);
      __m256i cospi_p46 = _mm256_set1_epi32(cospi[46]);
      __m256i cospi_p18 = _mm256_set1_epi32(cospi[18]);
      __m256i cospi_p14 = _mm256_set1_epi32(cospi[14]);
      __m256i cospi_p50 = _mm256_set1_epi32(cospi[50]);
      __m256i cospi_p54 = _mm256_set1_epi32(cospi[54]);
      __m256i cospi_p10 = _mm256_set1_epi32(cospi[10]);
      __m256i cospi_p22 = _mm256_set1_epi32(cospi[22]);
      __m256i cospi_p42 = _mm256_set1_epi32(cospi[42]);
      __m256i cospi_p38 = _mm256_set1_epi32(cospi[38]);
      __m256i cospi_p26 = _mm256_set1_epi32(cospi[26]);
      __m256i cospi_p06 = _mm256_set1_epi32(cospi[6]);
      __m256i cospi_p58 = _mm256_set1_epi32(cospi[58]);
      __m256i cospi_p63 = _mm256_set1_epi32(cospi[63]);
      __m256i cospi_p01 = _mm256_set1_epi32(cospi[1]);
      __m256i cospi_p31 = _mm256_set1_epi32(cospi[31]);
      __m256i cospi_p33 = _mm256_set1_epi32(cospi[33]);
      __m256i cospi_p47 = _mm256_set1_epi32(cospi[47]);
      __m256i cospi_p17 = _mm256_set1_epi32(cospi[17]);
      __m256i cospi_p15 = _mm256_set1_epi32(cospi[15]);
      __m256i cospi_p49 = _mm256_set1_epi32(cospi[49]);
      __m256i cospi_p55 = _mm256_set1_epi32(cospi[55]);
      __m256i cospi_p09 = _mm256_set1_epi32(cospi[9]);
      __m256i cospi_p23 = _mm256_set1_epi32(cospi[23]);
      __m256i cospi_p41 = _mm256_set1_epi32(cospi[41]);
      __m256i cospi_p39 = _mm256_set1_epi32(cospi[39]);
      __m256i cospi_p25 = _mm256_set1_epi32(cospi[25]);
      __m256i cospi_p07 = _mm256_set1_epi32(cospi[7]);
      __m256i cospi_p57 = _mm256_set1_epi32(cospi[57]);
      __m256i cospi_p59 = _mm256_set1_epi32(cospi[59]);
      __m256i cospi_p05 = _mm256_set1_epi32(cospi[5]);
      __m256i cospi_p27 = _mm256_set1_epi32(cospi[27]);
      __m256i cospi_p37 = _mm256_set1_epi32(cospi[37]);
      __m256i cospi_p43 = _mm256_set1_epi32(cospi[43]);
      __m256i cospi_p21 = _mm256_set1_epi32(cospi[21]);
      __m256i cospi_p11 = _mm256_set1_epi32(cospi[11]);
      __m256i cospi_p53 = _mm256_set1_epi32(cospi[53]);
      __m256i cospi_p51 = _mm256_set1_epi32(cospi[51]);
      __m256i cospi_p13 = _mm256_set1_epi32(cospi[13]);
      __m256i cospi_p19 = _mm256_set1_epi32(cospi[19]);
      __m256i cospi_p45 = _mm256_set1_epi32(cospi[45]);
      __m256i cospi_p35 = _mm256_set1_epi32(cospi[35]);
      __m256i cospi_p29 = _mm256_set1_epi32(cospi[29]);
      __m256i cospi_p03 = _mm256_set1_epi32(cospi[3]);
      __m256i cospi_p61 = _mm256_set1_epi32(cospi[61]);
  
      for (int32_t col = 0; col < columns; col++) {
          const __m256i *in = &input[col];
          __m256i *out = &output[col];
  
          // stage 1
          __m256i x1[64];
          x1[0] = _mm256_add_epi32(in[0 * stride], in[63 * stride]);
          x1[63] = _mm256_sub_epi32(in[0 * stride], in[63 * stride]);
          x1[1] = _mm256_add_epi32(in[1 * stride], in[62 * stride]);
          x1[62] = _mm256_sub_epi32(in[1 * stride], in[62 * stride]);
          x1[2] = _mm256_add_epi32(in[2 * stride], in[61 * stride]);
          x1[61] = _mm256_sub_epi32(in[2 * stride], in[61 * stride]);
          x1[3] = _mm256_add_epi32(in[3 * stride], in[60 * stride]);
          x1[60] = _mm256_sub_epi32(in[3 * stride], in[60 * stride]);
          x1[4] = _mm256_add_epi32(in[4 * stride], in[59 * stride]);
          x1[59] = _mm256_sub_epi32(in[4 * stride], in[59 * stride]);
          x1[5] = _mm256_add_epi32(in[5 * stride], in[58 * stride]);
          x1[58] = _mm256_sub_epi32(in[5 * stride], in[58 * stride]);
          x1[6] = _mm256_add_epi32(in[6 * stride], in[57 * stride]);
          x1[57] = _mm256_sub_epi32(in[6 * stride], in[57 * stride]);
          x1[7] = _mm256_add_epi32(in[7 * stride], in[56 * stride]);
          x1[56] = _mm256_sub_epi32(in[7 * stride], in[56 * stride]);
          x1[8] = _mm256_add_epi32(in[8 * stride], in[55 * stride]);
          x1[55] = _mm256_sub_epi32(in[8 * stride], in[55 * stride]);
          x1[9] = _mm256_add_epi32(in[9 * stride], in[54 * stride]);
          x1[54] = _mm256_sub_epi32(in[9 * stride], in[54 * stride]);
          x1[10] = _mm256_add_epi32(in[10 * stride], in[53 * stride]);
          x1[53] = _mm256_sub_epi32(in[10 * stride], in[53 * stride]);
          x1[11] = _mm256_add_epi32(in[11 * stride], in[52 * stride]);
          x1[52] = _mm256_sub_epi32(in[11 * stride], in[52 * stride]);
          x1[12] = _mm256_add_epi32(in[12 * stride], in[51 * stride]);
          x1[51] = _mm256_sub_epi32(in[12 * stride], in[51 * stride]);
          x1[13] = _mm256_add_epi32(in[13 * stride], in[50 * stride]);
          x1[50] = _mm256_sub_epi32(in[13 * stride], in[50 * stride]);
          x1[14] = _mm256_add_epi32(in[14 * stride], in[49 * stride]);
          x1[49] = _mm256_sub_epi32(in[14 * stride], in[49 * stride]);
          x1[15] = _mm256_add_epi32(in[15 * stride], in[48 * stride]);
          x1[48] = _mm256_sub_epi32(in[15 * stride], in[48 * stride]);
          x1[16] = _mm256_add_epi32(in[16 * stride], in[47 * stride]);
          x1[47] = _mm256_sub_epi32(in[16 * stride], in[47 * stride]);
          x1[17] = _mm256_add_epi32(in[17 * stride], in[46 * stride]);
          x1[46] = _mm256_sub_epi32(in[17 * stride], in[46 * stride]);
          x1[18] = _mm256_add_epi32(in[18 * stride], in[45 * stride]);
          x1[45] = _mm256_sub_epi32(in[18 * stride], in[45 * stride]);
          x1[19] = _mm256_add_epi32(in[19 * stride], in[44 * stride]);
          x1[44] = _mm256_sub_epi32(in[19 * stride], in[44 * stride]);
          x1[20] = _mm256_add_epi32(in[20 * stride], in[43 * stride]);
          x1[43] = _mm256_sub_epi32(in[20 * stride], in[43 * stride]);
          x1[21] = _mm256_add_epi32(in[21 * stride], in[42 * stride]);
          x1[42] = _mm256_sub_epi32(in[21 * stride], in[42 * stride]);
          x1[22] = _mm256_add_epi32(in[22 * stride], in[41 * stride]);
          x1[41] = _mm256_sub_epi32(in[22 * stride], in[41 * stride]);
          x1[23] = _mm256_add_epi32(in[23 * stride], in[40 * stride]);
          x1[40] = _mm256_sub_epi32(in[23 * stride], in[40 * stride]);
          x1[24] = _mm256_add_epi32(in[24 * stride], in[39 * stride]);
          x1[39] = _mm256_sub_epi32(in[24 * stride], in[39 * stride]);
          x1[25] = _mm256_add_epi32(in[25 * stride], in[38 * stride]);
          x1[38] = _mm256_sub_epi32(in[25 * stride], in[38 * stride]);
          x1[26] = _mm256_add_epi32(in[26 * stride], in[37 * stride]);
          x1[37] = _mm256_sub_epi32(in[26 * stride], in[37 * stride]);
          x1[27] = _mm256_add_epi32(in[27 * stride], in[36 * stride]);
          x1[36] = _mm256_sub_epi32(in[27 * stride], in[36 * stride]);
          x1[28] = _mm256_add_epi32(in[28 * stride], in[35 * stride]);
          x1[35] = _mm256_sub_epi32(in[28 * stride], in[35 * stride]);
          x1[29] = _mm256_add_epi32(in[29 * stride], in[34 * stride]);
          x1[34] = _mm256_sub_epi32(in[29 * stride], in[34 * stride]);
          x1[30] = _mm256_add_epi32(in[30 * stride], in[33 * stride]);
          x1[33] = _mm256_sub_epi32(in[30 * stride], in[33 * stride]);
          x1[31] = _mm256_add_epi32(in[31 * stride], in[32 * stride]);
          x1[32] = _mm256_sub_epi32(in[31 * stride], in[32 * stride]);
  
          // stage 2
          __m256i x2[64];
          x2[0] = _mm256_add_epi32(x1[0], x1[31]);
          x2[31] = _mm256_sub_epi32(x1[0], x1[31]);
          x2[1] = _mm256_add_epi32(x1[1], x1[30]);
          x2[30] = _mm256_sub_epi32(x1[1], x1[30]);
          x2[2] = _mm256_add_epi32(x1[2], x1[29]);
          x2[29] = _mm256_sub_epi32(x1[2], x1[29]);
          x2[3] = _mm256_add_epi32(x1[3], x1[28]);
          x2[28] = _mm256_sub_epi32(x1[3], x1[28]);
          x2[4] = _mm256_add_epi32(x1[4], x1[27]);
          x2[27] = _mm256_sub_epi32(x1[4], x1[27]);
          x2[5] = _mm256_add_epi32(x1[5], x1[26]);
          x2[26] = _mm256_sub_epi32(x1[5], x1[26]);
          x2[6] = _mm256_add_epi32(x1[6], x1[25]);
          x2[25] = _mm256_sub_epi32(x1[6], x1[25]);
          x2[7] = _mm256_add_epi32(x1[7], x1[24]);
          x2[24] = _mm256_sub_epi32(x1[7], x1[24]);
          x2[8] = _mm256_add_epi32(x1[8], x1[23]);
          x2[23] = _mm256_sub_epi32(x1[8], x1[23]);
          x2[9] = _mm256_add_epi32(x1[9], x1[22]);
          x2[22] = _mm256_sub_epi32(x1[9], x1[22]);
          x2[10] = _mm256_add_epi32(x1[10], x1[21]);
          x2[21] = _mm256_sub_epi32(x1[10], x1[21]);
          x2[11] = _mm256_add_epi32(x1[11], x1[20]);
          x2[20] = _mm256_sub_epi32(x1[11], x1[20]);
          x2[12] = _mm256_add_epi32(x1[12], x1[19]);
          x2[19] = _mm256_sub_epi32(x1[12], x1[19]);
          x2[13] = _mm256_add_epi32(x1[13], x1[18]);
          x2[18] = _mm256_sub_epi32(x1[13], x1[18]);
          x2[14] = _mm256_add_epi32(x1[14], x1[17]);
          x2[17] = _mm256_sub_epi32(x1[14], x1[17]);
          x2[15] = _mm256_add_epi32(x1[15], x1[16]);
          x2[16] = _mm256_sub_epi32(x1[15], x1[16]);
          x2[32] = x1[32];
          x2[33] = x1[33];
          x2[34] = x1[34];
          x2[35] = x1[35];
          x2[36] = x1[36];
          x2[37] = x1[37];
          x2[38] = x1[38];
          x2[39] = x1[39];
          btf_32_type0_avx2_new(cospi_m32, cospi_p32, x1[40], x1[55],
              x2[40], x2[55], __rounding, cos_bit);
          btf_32_type0_avx2_new(cospi_m32, cospi_p32, x1[41], x1[54],
              x2[41], x2[54], __rounding, cos_bit);
          btf_32_type0_avx2_new(cospi_m32, cospi_p32, x1[42], x1[53],
              x2[42], x2[53], __rounding, cos_bit);
          btf_32_type0_avx2_new(cospi_m32, cospi_p32, x1[43], x1[52],
              x2[43], x2[52], __rounding, cos_bit);
          btf_32_type0_avx2_new(cospi_m32, cospi_p32, x1[44], x1[51],
              x2[44], x2[51], __rounding, cos_bit);
          btf_32_type0_avx2_new(cospi_m32, cospi_p32, x1[45], x1[50],
              x2[45], x2[50], __rounding, cos_bit);
          btf_32_type0_avx2_new(cospi_m32, cospi_p32, x1[46], x1[49],
              x2[46], x2[49], __rounding, cos_bit);
          btf_32_type0_avx2_new(cospi_m32, cospi_p32, x1[47], x1[48],
              x2[47], x2[48], __rounding, cos_bit);
          x2[56] = x1[56];
          x2[57] = x1[57];
          x2[58] = x1[58];
          x2[59] = x1[59];
          x2[60] = x1[60];
          x2[61] = x1[61];
          x2[62] = x1[62];
          x2[63] = x1[63];
  
          // stage 3
          __m256i x3[64];
          x3[0] = _mm256_add_epi32(x2[0], x2[15]);
          x3[15] = _mm256_sub_epi32(x2[0], x2[15]);
          x3[1] = _mm256_add_epi32(x2[1], x2[14]);
          x3[14] = _mm256_sub_epi32(x2[1], x2[14]);
          x3[2] = _mm256_add_epi32(x2[2], x2[13]);
          x3[13] = _mm256_sub_epi32(x2[2], x2[13]);
          x3[3] = _mm256_add_epi32(x2[3], x2[12]);
          x3[12] = _mm256_sub_epi32(x2[3], x2[12]);
          x3[4] = _mm256_add_epi32(x2[4], x2[11]);
          x3[11] = _mm256_sub_epi32(x2[4], x2[11]);
          x3[5] = _mm256_add_epi32(x2[5], x2[10]);
          x3[10] = _mm256_sub_epi32(x2[5], x2[10]);
          x3[6] = _mm256_add_epi32(x2[6], x2[9]);
          x3[9] = _mm256_sub_epi32(x2[6], x2[9]);
          x3[7] = _mm256_add_epi32(x2[7], x2[8]);
          x3[8] = _mm256_sub_epi32(x2[7], x2[8]);
          x3[16] = x2[16];
          x3[17] = x2[17];
          x3[18] = x2[18];
          x3[19] = x2[19];
          btf_32_type0_avx2_new(cospi_m32, cospi_p32, x2[20], x2[27],
              x3[20], x3[27], __rounding, cos_bit);
          btf_32_type0_avx2_new(cospi_m32, cospi_p32, x2[21], x2[26],
              x3[21], x3[26], __rounding, cos_bit);
          btf_32_type0_avx2_new(cospi_m32, cospi_p32, x2[22], x2[25],
              x3[22], x3[25], __rounding, cos_bit);
          btf_32_type0_avx2_new(cospi_m32, cospi_p32, x2[23], x2[24],
              x3[23], x3[24], __rounding, cos_bit);
          x3[28] = x2[28];
          x3[29] = x2[29];
          x3[30] = x2[30];
          x3[31] = x2[31];
          x3[32] = _mm256_add_epi32(x2[32], x2[47]);
          x3[47] = _mm256_sub_epi32(x2[32], x2[47]);
          x3[33] = _mm256_add_epi32(x2[33], x2[46]);
          x3[46] = _mm256_sub_epi32(x2[33], x2[46]);
          x3[34] = _mm256_add_epi32(x2[34], x2[45]);
          x3[45] = _mm256_sub_epi32(x2[34], x2[45]);
          x3[35] = _mm256_add_epi32(x2[35], x2[44]);
          x3[44] = _mm256_sub_epi32(x2[35], x2[44]);
          x3[36] = _mm256_add_epi32(x2[36], x2[43]);
          x3[43] = _mm256_sub_epi32(x2[36], x2[43]);
          x3[37] = _mm256_add_epi32(x2[37], x2[42]);
          x3[42] = _mm256_sub_epi32(x2[37], x2[42]);
          x3[38] = _mm256_add_epi32(x2[38], x2[41]);
          x3[41] = _mm256_sub_epi32(x2[38], x2[41]);
          x3[39] = _mm256_add_epi32(x2[39], x2[40]);
          x3[40] = _mm256_sub_epi32(x2[39], x2[40]);
          x3[48] = _mm256_sub_epi32(x2[63], x2[48]);
          x3[63] = _mm256_add_epi32(x2[63], x2[48]);
          x3[49] = _mm256_sub_epi32(x2[62], x2[49]);
          x3[62] = _mm256_add_epi32(x2[62], x2[49]);
          x3[50] = _mm256_sub_epi32(x2[61], x2[50]);
          x3[61] = _mm256_add_epi32(x2[61], x2[50]);
          x3[51] = _mm256_sub_epi32(x2[60], x2[51]);
          x3[60] = _mm256_add_epi32(x2[60], x2[51]);
          x3[52] = _mm256_sub_epi32(x2[59], x2[52]);
          x3[59] = _mm256_add_epi32(x2[59], x2[52]);
          x3[53] = _mm256_sub_epi32(x2[58], x2[53]);
          x3[58] = _mm256_add_epi32(x2[58], x2[53]);
          x3[54] = _mm256_sub_epi32(x2[57], x2[54]);
          x3[57] = _mm256_add_epi32(x2[57], x2[54]);
          x3[55] = _mm256_sub_epi32(x2[56], x2[55]);
          x3[56] = _mm256_add_epi32(x2[56], x2[55]);
  
          // stage 4
          __m256i x4[64];
          x4[0] = _mm256_add_epi32(x3[0], x3[7]);
          x4[7] = _mm256_sub_epi32(x3[0], x3[7]);
          x4[1] = _mm256_add_epi32(x3[1], x3[6]);
          x4[6] = _mm256_sub_epi32(x3[1], x3[6]);
          x4[2] = _mm256_add_epi32(x3[2], x3[5]);
          x4[5] = _mm256_sub_epi32(x3[2], x3[5]);
          x4[3] = _mm256_add_epi32(x3[3], x3[4]);
          x4[4] = _mm256_sub_epi32(x3[3], x3[4]);
          x4[8] = x3[8];
          x4[9] = x3[9];
          btf_32_type0_avx2_new(cospi_m32, cospi_p32, x3[10], x3[13],
              x4[10], x4[13], __rounding, cos_bit);
          btf_32_type0_avx2_new(cospi_m32, cospi_p32, x3[11], x3[12],
              x4[11], x4[12], __rounding, cos_bit);
          x4[14] = x3[14];
          x4[15] = x3[15];
          x4[16] = _mm256_add_epi32(x3[16], x3[23]);
          x4[23] = _mm256_sub_epi32(x3[16], x3[23]);
          x4[17] = _mm256_add_epi32(x3[17], x3[22]);
          x4[22] = _mm256_sub_epi32(x3[17], x3[22]);
          x4[18] = _mm256_add_epi32(x3[18], x3[21]);
          x4[21] = _mm256_sub_epi32(x3[18], x3[21]);
          x4[19] = _mm256_add_epi32(x3[19], x3[20]);
          x4[20] = _mm256_sub_epi32(x3[19], x3[20]);
          x4[24] = _mm256_sub_epi32(x3[31], x3[24]);
          x4[31] = _mm256_add_epi32(x3[31], x3[24]);
          x4[25] = _mm256_sub_epi32(x3[30], x3[25]);
          x4[30] = _mm256_add_epi32(x3[30], x3[25]);
          x4[26] = _mm256_sub_epi32(x3[29], x3[26]);
          x4[29] = _mm256_add_epi32(x3[29], x3[26]);
          x4[27] = _mm256_sub_epi32(x3[28], x3[27]);
          x4[28] = _mm256_add_epi32(x3[28], x3[27]);
          x4[32] = x3[32];
          x4[33] = x3[33];
          x4[34] = x3[34];
          x4[35] = x3[35];
          btf_32_type0_avx2_new(cospi_m16, cospi_p48, x3[36], x3[59],
              x4[36], x4[59], __rounding, cos_bit);
          btf_32_type0_avx2_new(cospi_m16, cospi_p48, x3[37], x3[58],
              x4[37], x4[58], __rounding, cos_bit);
          btf_32_type0_avx2_new(cospi_m16, cospi_p48, x3[38], x3[57],
              x4[38], x4[57], __rounding, cos_bit);
          btf_32_type0_avx2_new(cospi_m16, cospi_p48, x3[39], x3[56],
              x4[39], x4[56], __rounding, cos_bit);
          btf_32_type0_avx2_new(cospi_m48, cospi_m16, x3[40], x3[55],
              x4[40], x4[55], __rounding, cos_bit);
          btf_32_type0_avx2_new(cospi_m48, cospi_m16, x3[41], x3[54],
              x4[41], x4[54], __rounding, cos_bit);
          btf_32_type0_avx2_new(cospi_m48, cospi_m16, x3[42], x3[53],
              x4[42], x4[53], __rounding, cos_bit);
          btf_32_type0_avx2_new(cospi_m48, cospi_m16, x3[43], x3[52],
              x4[43], x4[52], __rounding, cos_bit);
          x4[44] = x3[44];
          x4[45] = x3[45];
          x4[46] = x3[46];
          x4[47] = x3[47];
          x4[48] = x3[48];
          x4[49] = x3[49];
          x4[50] = x3[50];
          x4[51] = x3[51];
          x4[60] = x3[60];
          x4[61] = x3[61];
          x4[62] = x3[62];
          x4[63] = x3[63];
  
          // stage 5
          __m256i x5[64];
          x5[0] = _mm256_add_epi32(x4[0], x4[3]);
          x5[3] = _mm256_sub_epi32(x4[0], x4[3]);
          x5[1] = _mm256_add_epi32(x4[1], x4[2]);
          x5[2] = _mm256_sub_epi32(x4[1], x4[2]);
          x5[4] = x4[4];
          btf_32_type0_avx2_new(cospi_m32, cospi_p32, x4[5], x4[6],
              x5[5], x5[6], __rounding, cos_bit);
          x5[7] = x4[7];
          x5[8] = _mm256_add_epi32(x4[8], x4[11]);
          x5[11] = _mm256_sub_epi32(x4[8], x4[11]);
          x5[9] = _mm256_add_epi32(x4[9], x4[10]);
          x5[10] = _mm256_sub_epi32(x4[9], x4[10]);
          x5[12] = _mm256_sub_epi32(x4[15], x4[12]);
          x5[15] = _mm256_add_epi32(x4[15], x4[12]);
          x5[13] = _mm256_sub_epi32(x4[14], x4[13]);
          x5[14] = _mm256_add_epi32(x4[14], x4[13]);
          x5[16] = x4[16];
          x5[17] = x4[17];
          btf_32_type0_avx2_new(cospi_m16, cospi_p48, x4[18], x4[29],
              x5[18], x5[29], __rounding, cos_bit);
          btf_32_type0_avx2_new(cospi_m16, cospi_p48, x4[19], x4[28],
              x5[19], x5[28], __rounding, cos_bit);
          btf_32_type0_avx2_new(cospi_m48, cospi_m16, x4[20], x4[27],
              x5[20], x5[27], __rounding, cos_bit);
          btf_32_type0_avx2_new(cospi_m48, cospi_m16, x4[21], x4[26],
              x5[21], x5[26], __rounding, cos_bit);
          x5[22] = x4[22];
          x5[23] = x4[23];
          x5[24] = x4[24];
          x5[25] = x4[25];
          x5[30] = x4[30];
          x5[31] = x4[31];
          x5[32] = _mm256_add_epi32(x4[32], x4[39]);
          x5[39] = _mm256_sub_epi32(x4[32], x4[39]);
          x5[33] = _mm256_add_epi32(x4[33], x4[38]);
          x5[38] = _mm256_sub_epi32(x4[33], x4[38]);
          x5[34] = _mm256_add_epi32(x4[34], x4[37]);
          x5[37] = _mm256_sub_epi32(x4[34], x4[37]);
          x5[35] = _mm256_add_epi32(x4[35], x4[36]);
          x5[36] = _mm256_sub_epi32(x4[35], x4[36]);
          x5[40] = _mm256_sub_epi32(x4[47], x4[40]);
          x5[47] = _mm256_add_epi32(x4[47], x4[40]);
          x5[41] = _mm256_sub_epi32(x4[46], x4[41]);
          x5[46] = _mm256_add_epi32(x4[46], x4[41]);
          x5[42] = _mm256_sub_epi32(x4[45], x4[42]);
          x5[45] = _mm256_add_epi32(x4[45], x4[42]);
          x5[43] = _mm256_sub_epi32(x4[44], x4[43]);
          x5[44] = _mm256_add_epi32(x4[44], x4[43]);
          x5[48] = _mm256_add_epi32(x4[48], x4[55]);
          x5[55] = _mm256_sub_epi32(x4[48], x4[55]);
          x5[49] = _mm256_add_epi32(x4[49], x4[54]);
          x5[54] = _mm256_sub_epi32(x4[49], x4[54]);
          x5[50] = _mm256_add_epi32(x4[50], x4[53]);
          x5[53] = _mm256_sub_epi32(x4[50], x4[53]);
          x5[51] = _mm256_add_epi32(x4[51], x4[52]);
          x5[52] = _mm256_sub_epi32(x4[51], x4[52]);
          x5[56] = _mm256_sub_epi32(x4[63], x4[56]);
          x5[63] = _mm256_add_epi32(x4[63], x4[56]);
          x5[57] = _mm256_sub_epi32(x4[62], x4[57]);
          x5[62] = _mm256_add_epi32(x4[62], x4[57]);
          x5[58] = _mm256_sub_epi32(x4[61], x4[58]);
          x5[61] = _mm256_add_epi32(x4[61], x4[58]);
          x5[59] = _mm256_sub_epi32(x4[60], x4[59]);
          x5[60] = _mm256_add_epi32(x4[60], x4[59]);
  
          // stage 6
          __m256i x6[64];
          btf_32_type0_avx2_new(cospi_p32, cospi_p32, x5[0], x5[1],
              x6[0], x6[1], __rounding, cos_bit);
          btf_32_type1_avx2_new(cospi_p48, cospi_p16, x5[2], x5[3],
              x6[2], x6[3], __rounding, cos_bit);
          x6[4] = _mm256_add_epi32(x5[4], x5[5]);
          x6[5] = _mm256_sub_epi32(x5[4], x5[5]);
          x6[6] = _mm256_sub_epi32(x5[7], x5[6]);
          x6[7] = _mm256_add_epi32(x5[7], x5[6]);
          x6[8] = x5[8];
          btf_32_type0_avx2_new(cospi_m16, cospi_p48, x5[9], x5[14],
              x6[9], x6[14], __rounding, cos_bit);
          btf_32_type0_avx2_new(cospi_m48, cospi_m16, x5[10], x5[13],
              x6[10], x6[13], __rounding, cos_bit);
          x6[11] = x5[11];
          x6[12] = x5[12];
          x6[15] = x5[15];
          x6[16] = _mm256_add_epi32(x5[16], x5[19]);
          x6[19] = _mm256_sub_epi32(x5[16], x5[19]);
          x6[17] = _mm256_add_epi32(x5[17], x5[18]);
          x6[18] = _mm256_sub_epi32(x5[17], x5[18]);
          x6[20] = _mm256_sub_epi32(x5[23], x5[20]);
          x6[23] = _mm256_add_epi32(x5[23], x5[20]);
          x6[21] = _mm256_sub_epi32(x5[22], x5[21]);
          x6[22] = _mm256_add_epi32(x5[22], x5[21]);
          x6[24] = _mm256_add_epi32(x5[24], x5[27]);
          x6[27] = _mm256_sub_epi32(x5[24], x5[27]);
          x6[25] = _mm256_add_epi32(x5[25], x5[26]);
          x6[26] = _mm256_sub_epi32(x5[25], x5[26]);
          x6[28] = _mm256_sub_epi32(x5[31], x5[28]);
          x6[31] = _mm256_add_epi32(x5[31], x5[28]);
          x6[29] = _mm256_sub_epi32(x5[30], x5[29]);
          x6[30] = _mm256_add_epi32(x5[30], x5[29]);
          x6[32] = x5[32];
          x6[33] = x5[33];
          btf_32_type0_avx2_new(cospi_m08, cospi_p56, x5[34], x5[61],
              x6[34], x6[61], __rounding, cos_bit);
          btf_32_type0_avx2_new(cospi_m08, cospi_p56, x5[35], x5[60],
              x6[35], x6[60], __rounding, cos_bit);
          btf_32_type0_avx2_new(cospi_m56, cospi_m08, x5[36], x5[59],
              x6[36], x6[59], __rounding, cos_bit);
          btf_32_type0_avx2_new(cospi_m56, cospi_m08, x5[37], x5[58],
              x6[37], x6[58], __rounding, cos_bit);
          x6[38] = x5[38];
          x6[39] = x5[39];
          x6[40] = x5[40];
          x6[41] = x5[41];
          btf_32_type0_avx2_new(cospi_m40, cospi_p24, x5[42], x5[53],
              x6[42], x6[53], __rounding, cos_bit);
          btf_32_type0_avx2_new(cospi_m40, cospi_p24, x5[43], x5[52],
              x6[43], x6[52], __rounding, cos_bit);
          btf_32_type0_avx2_new(cospi_m24, cospi_m40, x5[44], x5[51],
              x6[44], x6[51], __rounding, cos_bit);
          btf_32_type0_avx2_new(cospi_m24, cospi_m40, x5[45], x5[50],
              x6[45], x6[50], __rounding, cos_bit);
          x6[46] = x5[46];
          x6[47] = x5[47];
          x6[48] = x5[48];
          x6[49] = x5[49];
          x6[54] = x5[54];
          x6[55] = x5[55];
          x6[56] = x5[56];
          x6[57] = x5[57];
          x6[62] = x5[62];
          x6[63] = x5[63];
  
          // stage 7
          __m256i x7[64];
          x7[0] = x6[0];
          x7[1] = x6[1];
          x7[2] = x6[2];
          x7[3] = x6[3];
          btf_32_type1_avx2_new(cospi_p56, cospi_p08, x6[4], x6[7],
              x7[4], x7[7], __rounding, cos_bit);
          btf_32_type1_avx2_new(cospi_p24, cospi_p40, x6[5], x6[6],
              x7[5], x7[6], __rounding, cos_bit);
          x7[8] = _mm256_add_epi32(x6[8], x6[9]);
          x7[9] = _mm256_sub_epi32(x6[8], x6[9]);
          x7[10] = _mm256_sub_epi32(x6[11], x6[10]);
          x7[11] = _mm256_add_epi32(x6[11], x6[10]);
          x7[12] = _mm256_add_epi32(x6[12], x6[13]);
          x7[13] = _mm256_sub_epi32(x6[12], x6[13]);
          x7[14] = _mm256_sub_epi32(x6[15], x6[14]);
          x7[15] = _mm256_add_epi32(x6[15], x6[14]);
          x7[16] = x6[16];
          btf_32_type0_avx2_new(cospi_m08, cospi_p56, x6[17], x6[30],
              x7[17], x7[30], __rounding, cos_bit);
          btf_32_type0_avx2_new(cospi_m56, cospi_m08, x6[18], x6[29],
              x7[18], x7[29], __rounding, cos_bit);
          x7[19] = x6[19];
          x7[20] = x6[20];
          btf_32_type0_avx2_new(cospi_m40, cospi_p24, x6[21], x6[26],
              x7[21], x7[26], __rounding, cos_bit);
          btf_32_type0_avx2_new(cospi_m24, cospi_m40, x6[22], x6[25],
              x7[22], x7[25], __rounding, cos_bit);
          x7[23] = x6[23];
          x7[24] = x6[24];
          x7[27] = x6[27];
          x7[28] = x6[28];
          x7[31] = x6[31];
          x7[32] = _mm256_add_epi32(x6[32], x6[35]);
          x7[35] = _mm256_sub_epi32(x6[32], x6[35]);
          x7[33] = _mm256_add_epi32(x6[33], x6[34]);
          x7[34] = _mm256_sub_epi32(x6[33], x6[34]);
          x7[36] = _mm256_sub_epi32(x6[39], x6[36]);
          x7[39] = _mm256_add_epi32(x6[39], x6[36]);
          x7[37] = _mm256_sub_epi32(x6[38], x6[37]);
          x7[38] = _mm256_add_epi32(x6[38], x6[37]);
          x7[40] = _mm256_add_epi32(x6[40], x6[43]);
          x7[43] = _mm256_sub_epi32(x6[40], x6[43]);
          x7[41] = _mm256_add_epi32(x6[41], x6[42]);
          x7[42] = _mm256_sub_epi32(x6[41], x6[42]);
          x7[44] = _mm256_sub_epi32(x6[47], x6[44]);
          x7[47] = _mm256_add_epi32(x6[47], x6[44]);
          x7[45] = _mm256_sub_epi32(x6[46], x6[45]);
          x7[46] = _mm256_add_epi32(x6[46], x6[45]);
          x7[48] = _mm256_add_epi32(x6[48], x6[51]);
          x7[51] = _mm256_sub_epi32(x6[48], x6[51]);
          x7[49] = _mm256_add_epi32(x6[49], x6[50]);
          x7[50] = _mm256_sub_epi32(x6[49], x6[50]);
          x7[52] = _mm256_sub_epi32(x6[55], x6[52]);
          x7[55] = _mm256_add_epi32(x6[55], x6[52]);
          x7[53] = _mm256_sub_epi32(x6[54], x6[53]);
          x7[54] = _mm256_add_epi32(x6[54], x6[53]);
          x7[56] = _mm256_add_epi32(x6[56], x6[59]);
          x7[59] = _mm256_sub_epi32(x6[56], x6[59]);
          x7[57] = _mm256_add_epi32(x6[57], x6[58]);
          x7[58] = _mm256_sub_epi32(x6[57], x6[58]);
          x7[60] = _mm256_sub_epi32(x6[63], x6[60]);
          x7[63] = _mm256_add_epi32(x6[63], x6[60]);
          x7[61] = _mm256_sub_epi32(x6[62], x6[61]);
          x7[62] = _mm256_add_epi32(x6[62], x6[61]);
  
          // stage 8
          __m256i x8[64];
          x8[0] = x7[0];
          x8[1] = x7[1];
          x8[2] = x7[2];
          x8[3] = x7[3];
          x8[4] = x7[4];
          x8[5] = x7[5];
          x8[6] = x7[6];
          x8[7] = x7[7];
  
          btf_32_type1_avx2_new(cospi_p60, cospi_p04, x7[8], x7[15],
              x8[8], x8[15], __rounding, cos_bit);
          btf_32_type1_avx2_new(cospi_p28, cospi_p36, x7[9], x7[14],
              x8[9], x8[14], __rounding, cos_bit);
          btf_32_type1_avx2_new(cospi_p44, cospi_p20, x7[10], x7[13],
              x8[10], x8[13], __rounding, cos_bit);
          btf_32_type1_avx2_new(cospi_p12, cospi_p52, x7[11], x7[12],
              x8[11], x8[12], __rounding, cos_bit);
          x8[16] = _mm256_add_epi32(x7[16], x7[17]);
          x8[17] = _mm256_sub_epi32(x7[16], x7[17]);
          x8[18] = _mm256_sub_epi32(x7[19], x7[18]);
          x8[19] = _mm256_add_epi32(x7[19], x7[18]);
          x8[20] = _mm256_add_epi32(x7[20], x7[21]);
          x8[21] = _mm256_sub_epi32(x7[20], x7[21]);
          x8[22] = _mm256_sub_epi32(x7[23], x7[22]);
          x8[23] = _mm256_add_epi32(x7[23], x7[22]);
          x8[24] = _mm256_add_epi32(x7[24], x7[25]);
          x8[25] = _mm256_sub_epi32(x7[24], x7[25]);
          x8[26] = _mm256_sub_epi32(x7[27], x7[26]);
          x8[27] = _mm256_add_epi32(x7[27], x7[26]);
          x8[28] = _mm256_add_epi32(x7[28], x7[29]);
          x8[29] = _mm256_sub_epi32(x7[28], x7[29]);
          x8[30] = _mm256_sub_epi32(x7[31], x7[30]);
          x8[31] = _mm256_add_epi32(x7[31], x7[30]);
          x8[32] = x7[32];
          btf_32_type0_avx2_new(cospi_m04, cospi_p60, x7[33], x7[62],
              x8[33], x8[62], __rounding, cos_bit);
          btf_32_type0_avx2_new(cospi_m60, cospi_m04, x7[34], x7[61],
              x8[34], x8[61], __rounding, cos_bit);
          x8[35] = x7[35];
          x8[36] = x7[36];
          btf_32_type0_avx2_new(cospi_m36, cospi_p28, x7[37], x7[58],
              x8[37], x8[58], __rounding, cos_bit);
          btf_32_type0_avx2_new(cospi_m28, cospi_m36, x7[38], x7[57],
              x8[38], x8[57], __rounding, cos_bit);
          x8[39] = x7[39];
          x8[40] = x7[40];
          btf_32_type0_avx2_new(cospi_m20, cospi_p44, x7[41], x7[54],
              x8[41], x8[54], __rounding, cos_bit);
          btf_32_type0_avx2_new(cospi_m44, cospi_m20, x7[42], x7[53],
              x8[42], x8[53], __rounding, cos_bit);
          x8[43] = x7[43];
          x8[44] = x7[44];
          btf_32_type0_avx2_new(cospi_m52, cospi_p12, x7[45], x7[50],
              x8[45], x8[50], __rounding, cos_bit);
          btf_32_type0_avx2_new(cospi_m12, cospi_m52, x7[46], x7[49],
              x8[46], x8[49], __rounding, cos_bit);
          x8[47] = x7[47];
          x8[48] = x7[48];
          x8[51] = x7[51];
          x8[52] = x7[52];
          x8[55] = x7[55];
          x8[56] = x7[56];
          x8[59] = x7[59];
          x8[60] = x7[60];
          x8[63] = x7[63];
  
          // stage 9
          __m256i x9[64];
          x9[0] = x8[0];
          x9[1] = x8[1];
          x9[2] = x8[2];
          x9[3] = x8[3];
          x9[4] = x8[4];
          x9[5] = x8[5];
          x9[6] = x8[6];
          x9[7] = x8[7];
          x9[8] = x8[8];
          x9[9] = x8[9];
          x9[10] = x8[10];
          x9[11] = x8[11];
          x9[12] = x8[12];
          x9[13] = x8[13];
          x9[14] = x8[14];
          x9[15] = x8[15];
          btf_32_type1_avx2_new(cospi_p62, cospi_p02, x8[16], x8[31],
              x9[16], x9[31], __rounding, cos_bit);
          btf_32_type1_avx2_new(cospi_p30, cospi_p34, x8[17], x8[30],
              x9[17], x9[30], __rounding, cos_bit);
          btf_32_type1_avx2_new(cospi_p46, cospi_p18, x8[18], x8[29],
              x9[18], x9[29], __rounding, cos_bit);
          btf_32_type1_avx2_new(cospi_p14, cospi_p50, x8[19], x8[28],
              x9[19], x9[28], __rounding, cos_bit);
          btf_32_type1_avx2_new(cospi_p54, cospi_p10, x8[20], x8[27],
              x9[20], x9[27], __rounding, cos_bit);
          btf_32_type1_avx2_new(cospi_p22, cospi_p42, x8[21], x8[26],
              x9[21], x9[26], __rounding, cos_bit);
          btf_32_type1_avx2_new(cospi_p38, cospi_p26, x8[22], x8[25],
              x9[22], x9[25], __rounding, cos_bit);
          btf_32_type1_avx2_new(cospi_p06, cospi_p58, x8[23], x8[24],
              x9[23], x9[24], __rounding, cos_bit);
          x9[32] = _mm256_add_epi32(x8[32], x8[33]);
          x9[33] = _mm256_sub_epi32(x8[32], x8[33]);
          x9[34] = _mm256_sub_epi32(x8[35], x8[34]);
          x9[35] = _mm256_add_epi32(x8[35], x8[34]);
          x9[36] = _mm256_add_epi32(x8[36], x8[37]);
          x9[37] = _mm256_sub_epi32(x8[36], x8[37]);
          x9[38] = _mm256_sub_epi32(x8[39], x8[38]);
          x9[39] = _mm256_add_epi32(x8[39], x8[38]);
          x9[40] = _mm256_add_epi32(x8[40], x8[41]);
          x9[41] = _mm256_sub_epi32(x8[40], x8[41]);
          x9[42] = _mm256_sub_epi32(x8[43], x8[42]);
          x9[43] = _mm256_add_epi32(x8[43], x8[42]);
          x9[44] = _mm256_add_epi32(x8[44], x8[45]);
          x9[45] = _mm256_sub_epi32(x8[44], x8[45]);
          x9[46] = _mm256_sub_epi32(x8[47], x8[46]);
          x9[47] = _mm256_add_epi32(x8[47], x8[46]);
          x9[48] = _mm256_add_epi32(x8[48], x8[49]);
          x9[49] = _mm256_sub_epi32(x8[48], x8[49]);
          x9[50] = _mm256_sub_epi32(x8[51], x8[50]);
          x9[51] = _mm256_add_epi32(x8[51], x8[50]);
          x9[52] = _mm256_add_epi32(x8[52], x8[53]);
          x9[53] = _mm256_sub_epi32(x8[52], x8[53]);
          x9[54] = _mm256_sub_epi32(x8[55], x8[54]);
          x9[55] = _mm256_add_epi32(x8[55], x8[54]);
          x9[56] = _mm256_add_epi32(x8[56], x8[57]);
          x9[57] = _mm256_sub_epi32(x8[56], x8[57]);
          x9[58] = _mm256_sub_epi32(x8[59], x8[58]);
          x9[59] = _mm256_add_epi32(x8[59], x8[58]);
          x9[60] = _mm256_add_epi32(x8[60], x8[61]);
          x9[61] = _mm256_sub_epi32(x8[60], x8[61]);
          x9[62] = _mm256_sub_epi32(x8[63], x8[62]);
          x9[63] = _mm256_add_epi32(x8[63], x8[62]);
  
          // stage 10
          __m256i x10[64];
          out[0 * stride] = x9[0];
          out[32 * stride] = x9[1];
          out[16 * stride] = x9[2];
          out[48 * stride] = x9[3];
          out[8 * stride] = x9[4];
          out[40 * stride] = x9[5];
          out[24 * stride] = x9[6];
          out[56 * stride] = x9[7];
          out[4 * stride] = x9[8];
          out[36 * stride] = x9[9];
          out[20 * stride] = x9[10];
          out[52 * stride] = x9[11];
          out[12 * stride] = x9[12];
          out[44 * stride] = x9[13];
          out[28 * stride] = x9[14];
          out[60 * stride] = x9[15];
          out[2 * stride] = x9[16];
          out[34 * stride] = x9[17];
          out[18 * stride] = x9[18];
          out[50 * stride] = x9[19];
          out[10 * stride] = x9[20];
          out[42 * stride] = x9[21];
          out[26 * stride] = x9[22];
          out[58 * stride] = x9[23];
          out[6 * stride] = x9[24];
          out[38 * stride] = x9[25];
          out[22 * stride] = x9[26];
          out[54 * stride] = x9[27];
          out[14 * stride] = x9[28];
          out[46 * stride] = x9[29];
          out[30 * stride] = x9[30];
          out[62 * stride] = x9[31];
          btf_32_type1_avx2_new(cospi_p63, cospi_p01, x9[32], x9[63],
              x10[32], x10[63], __rounding, cos_bit);
          btf_32_type1_avx2_new(cospi_p31, cospi_p33, x9[33], x9[62],
              x10[33], x10[62], __rounding, cos_bit);
          btf_32_type1_avx2_new(cospi_p47, cospi_p17, x9[34], x9[61],
              x10[34], x10[61], __rounding, cos_bit);
          btf_32_type1_avx2_new(cospi_p15, cospi_p49, x9[35], x9[60],
              x10[35], x10[60], __rounding, cos_bit);
          btf_32_type1_avx2_new(cospi_p55, cospi_p09, x9[36], x9[59],
              x10[36], x10[59], __rounding, cos_bit);
          btf_32_type1_avx2_new(cospi_p23, cospi_p41, x9[37], x9[58],
              x10[37], x10[58], __rounding, cos_bit);
          btf_32_type1_avx2_new(cospi_p39, cospi_p25, x9[38], x9[57],
              x10[38], x10[57], __rounding, cos_bit);
          btf_32_type1_avx2_new(cospi_p07, cospi_p57, x9[39], x9[56],
              x10[39], x10[56], __rounding, cos_bit);
          btf_32_type1_avx2_new(cospi_p59, cospi_p05, x9[40], x9[55],
              x10[40], x10[55], __rounding, cos_bit);
          btf_32_type1_avx2_new(cospi_p27, cospi_p37, x9[41], x9[54],
              x10[41], x10[54], __rounding, cos_bit);
          btf_32_type1_avx2_new(cospi_p43, cospi_p21, x9[42], x9[53],
              x10[42], x10[53], __rounding, cos_bit);
          btf_32_type1_avx2_new(cospi_p11, cospi_p53, x9[43], x9[52],
              x10[43], x10[52], __rounding, cos_bit);
          btf_32_type1_avx2_new(cospi_p51, cospi_p13, x9[44], x9[51],
              x10[44], x10[51], __rounding, cos_bit);
          btf_32_type1_avx2_new(cospi_p19, cospi_p45, x9[45], x9[50],
              x10[45], x10[50], __rounding, cos_bit);
          btf_32_type1_avx2_new(cospi_p35, cospi_p29, x9[46], x9[49],
              x10[46], x10[49], __rounding, cos_bit);
          btf_32_type1_avx2_new(cospi_p03, cospi_p61, x9[47], x9[48],
              x10[47], x10[48], __rounding, cos_bit);
  
          // stage 11
          out[1 * stride] = x10[32];
          out[3 * stride] = x10[48];
          out[5 * stride] = x10[40];
          out[7 * stride] = x10[56];
          out[9 * stride] = x10[36];
          out[11 * stride] = x10[52];
          out[13 * stride] = x10[44];
          out[15 * stride] = x10[60];
          out[17 * stride] = x10[34];
          out[19 * stride] = x10[50];
          out[21 * stride] = x10[42];
          out[23 * stride] = x10[58];
          out[25 * stride] = x10[38];
          out[27 * stride] = x10[54];
          out[29 * stride] = x10[46];
          out[31 * stride] = x10[62];
          out[33 * stride] = x10[33];
          out[35 * stride] = x10[49];
          out[37 * stride] = x10[41];
          out[39 * stride] = x10[57];
          out[41 * stride] = x10[37];
          out[43 * stride] = x10[53];
          out[45 * stride] = x10[45];
          out[47 * stride] = x10[61];
          out[49 * stride] = x10[35];
          out[51 * stride] = x10[51];
          out[53 * stride] = x10[43];
          out[55 * stride] = x10[59];
          out[57 * stride] = x10[39];
          out[59 * stride] = x10[55];
          out[61 * stride] = x10[47];
          out[63 * stride] = x10[63];
      }
  }
  
  static INLINE void av1_round_shift_array_32_avx2(__m256i *input,
      __m256i *output,
      const int32_t size,
      const int32_t bit) {
      if (bit > 0) {
          __m256i round = _mm256_set1_epi32(1 << (bit - 1));
          int32_t i;
          for (i = 0; i < size; i++) {
              output[i] = _mm256_srai_epi32(
                  _mm256_add_epi32(input[i], round), bit);
          }
      }
      else {
          int32_t i;
          for (i = 0; i < size; i++) {
              output[i] = _mm256_slli_epi32(input[i], -bit);
          }
      }
  }
  
  typedef void(*TxfmFuncAVX2)(const __m256i *input, __m256i *output,
      const int8_t cos_bit, const int8_t *stage_range);
  
  static INLINE void fdct32x32_avx2(const __m256i *input, __m256i *output,
      const int8_t cos_bit, const int8_t *stage_range) {
      const int32_t txfm_size = 32;
      const int32_t num_per_256 = 8;
      int32_t col_num = txfm_size / num_per_256;
      int32_t col;
      (void)stage_range;
      av1_fdct32_new_avx2(input, output, cos_bit, txfm_size, col_num);
  }
  
  static INLINE void fdct64x64_avx2(const __m256i *input, __m256i *output,
      const int8_t cos_bit) {
      const int32_t txfm_size = 64;
      const int32_t num_per_256 = 8;
      int32_t col_num = txfm_size / num_per_256;
      av1_fdct64_new_avx2(input, output, cos_bit, txfm_size, col_num);
  }
  
  static INLINE void fidtx4x8_row_avx2(__m256i *input, __m256i *output, int32_t bit, int32_t col_num) {
      (void)bit;
      __m256i in[4];
      __m256i out[4];
      __m256i fact = _mm256_set1_epi32(NewSqrt2);
      __m256i offset = _mm256_set1_epi32(1 << (NewSqrt2Bits - 1));
      __m256i a_low;
      __m256i v[4];
  
      in[0] = _mm256_permute2x128_si256(input[0], input[2], 0x20);
      in[1] = _mm256_permute2x128_si256(input[0], input[2], 0x31);
      in[2] = _mm256_permute2x128_si256(input[1], input[3], 0x20);
      in[3] = _mm256_permute2x128_si256(input[1], input[3], 0x31);
  
      for (int32_t i = 0; i < 4; i++) {
          a_low = _mm256_mullo_epi32(in[i * col_num], fact);
          a_low = _mm256_add_epi32(a_low, offset);
          out[i] = _mm256_srai_epi32(a_low, NewSqrt2Bits);
      }
  
      // Transpose for 4x4
      v[0] = _mm256_unpacklo_epi32(out[0], out[1]);
      v[1] = _mm256_unpackhi_epi32(out[0], out[1]);
      v[2] = _mm256_unpacklo_epi32(out[2], out[3]);
      v[3] = _mm256_unpackhi_epi32(out[2], out[3]);
  
      out[0] = _mm256_unpacklo_epi64(v[0], v[2]);
      out[1] = _mm256_unpackhi_epi64(v[0], v[2]);
      out[2] = _mm256_unpacklo_epi64(v[1], v[3]);
      out[3] = _mm256_unpackhi_epi64(v[1], v[3]);
  
      output[0] = _mm256_permute2x128_si256(out[0], out[1], 0x20);
      output[1] = _mm256_permute2x128_si256(out[2], out[3], 0x20);
      output[2] = _mm256_permute2x128_si256(out[0], out[1], 0x31);
      output[3] = _mm256_permute2x128_si256(out[2], out[3], 0x31);
  }
  
  static INLINE void fidtx4x8_col_avx2(__m256i *in, __m256i *output, int32_t bit, int32_t col_num) {
      (void)bit;
      __m256i out[4];
      __m256i fact = _mm256_set1_epi32(NewSqrt2);
      __m256i offset = _mm256_set1_epi32(1 << (NewSqrt2Bits - 1));
      __m256i a_low;
      __m256i v[4];
  
      for (int32_t i = 0; i < 4; i++) {
          a_low = _mm256_mullo_epi32(in[i * col_num], fact);
          a_low = _mm256_add_epi32(a_low, offset);
          out[i] = _mm256_srai_epi32(a_low, NewSqrt2Bits);
      }
  
      // Transpose for 4x4
      v[0] = _mm256_unpacklo_epi32(out[0], out[1]);
      v[1] = _mm256_unpackhi_epi32(out[0], out[1]);
      v[2] = _mm256_unpacklo_epi32(out[2], out[3]);
      v[3] = _mm256_unpackhi_epi32(out[2], out[3]);
  
      out[0] = _mm256_unpacklo_epi64(v[0], v[2]);
      out[1] = _mm256_unpackhi_epi64(v[0], v[2]);
      out[2] = _mm256_unpacklo_epi64(v[1], v[3]);
      out[3] = _mm256_unpackhi_epi64(v[1], v[3]);
  
      output[0] = _mm256_permute2x128_si256(out[0], out[1], 0x20);
      output[1] = _mm256_permute2x128_si256(out[2], out[3], 0x20);
      output[2] = _mm256_permute2x128_si256(out[0], out[1], 0x31);
      output[3] = _mm256_permute2x128_si256(out[2], out[3], 0x31);
  }
  
  static INLINE void fidtx8x4_avx2(__m256i *in, __m256i *out, int32_t bit) {
      (void)bit;
  
      out[0] = _mm256_add_epi32(in[0], in[0]);
      out[1] = _mm256_add_epi32(in[1], in[1]);
      out[2] = _mm256_add_epi32(in[2], in[2]);
      out[3] = _mm256_add_epi32(in[3], in[3]);
  }
  
  void av1_idtx32_new_avx2(const __m256i *input, __m256i *output, int8_t cos_bit,
      const int32_t col_num) {
      (void)cos_bit;
      for (int32_t i = 0; i < 32; i++) {
          output[i * col_num] = _mm256_slli_epi32(input[i * col_num], 2);
      }
  }
  
  
  static void fidtx32x32_avx2(const __m256i *input, __m256i *output,
      const int8_t cos_bit, const int8_t *stage_range) {
      (void)stage_range;
  
      for (int32_t i = 0; i < 4; i++) {
          av1_idtx32_new_avx2(&input[i * 32], &output[i * 32], cos_bit, 1);
      }
  }
  
  static void fidtx32x8_avx2(const __m256i *in, __m256i *out, int8_t bit, int32_t col_num) {
      (void)bit;
      (void)col_num;
      out[4 * 0] = _mm256_slli_epi32(in[4 * 0], 1);
      out[4 * 1] = _mm256_slli_epi32(in[4 * 1], 1);
      out[4 * 2] = _mm256_slli_epi32(in[4 * 2], 1);
      out[4 * 3] = _mm256_slli_epi32(in[4 * 3], 1);
      out[4 * 4] = _mm256_slli_epi32(in[4 * 4], 1);
      out[4 * 5] = _mm256_slli_epi32(in[4 * 5], 1);
      out[4 * 6] = _mm256_slli_epi32(in[4 * 6], 1);
      out[4 * 7] = _mm256_slli_epi32(in[4 * 7], 1);
  }
  
  static void fidtx64x64_avx2(const __m256i *input, __m256i *output) {
      const int32_t bits = 12;       // NewSqrt2Bits = 12
      const int32_t sqrt = 4 * 5793; // 4 * NewSqrt2
      const int32_t col_num = 8;
      const __m256i newsqrt = _mm256_set1_epi32(sqrt);
      const __m256i rounding = _mm256_set1_epi32(1 << (bits - 1));
  
      __m256i temp;
      int32_t num_iters = 64 * col_num;
      for (int32_t i = 0; i < num_iters; i++) {
          temp = _mm256_mullo_epi32(input[i], newsqrt);
          temp = _mm256_add_epi32(temp, rounding);
          output[i] = _mm256_srai_epi32(temp, bits);
      }
  }
  
  static INLINE TxfmFuncAVX2 fwd_txfm_type_to_func(TxfmType TxfmType) {
      switch (TxfmType) {
      case TXFM_TYPE_DCT32: return fdct32x32_avx2; break;
      case TXFM_TYPE_IDENTITY32: return fidtx32x32_avx2; break;
      default: assert(0);
      }
      return NULL;
  }
  
  static INLINE void load_buffer_32x32_avx2(const int16_t *input,
      __m256i *output, int32_t stride) {
      __m128i temp[4];
      int32_t i;
  
      for (i = 0; i < 32; ++i) {
          temp[0] = _mm_loadu_si128((const __m128i *)(input + 0 * 8));
          temp[1] = _mm_load_si128((const __m128i *)(input + 1 * 8));
          temp[2] = _mm_load_si128((const __m128i *)(input + 2 * 8));
          temp[3] = _mm_load_si128((const __m128i *)(input + 3 * 8));
  
          output[0] = _mm256_cvtepi16_epi32(temp[0]);
          output[1] = _mm256_cvtepi16_epi32(temp[1]);
          output[2] = _mm256_cvtepi16_epi32(temp[2]);
          output[3] = _mm256_cvtepi16_epi32(temp[3]);
          input += stride;
          output += 4;
      }
  }
  
  static INLINE void fwd_txfm2d_32x32_avx2(const int16_t *input, int32_t *output,
      const int32_t stride,
      const Txfm2DFlipCfg *cfg,
      int32_t *txfm_buf) {
      assert(cfg->tx_size < TX_SIZES);
      const int32_t txfm_size = tx_size_wide[cfg->tx_size];
      const int8_t *shift = cfg->shift;
      const int8_t *stage_range_col = cfg->stage_range_col;
      const int8_t *stage_range_row = cfg->stage_range_row;
      const int8_t cos_bit_col = cfg->cos_bit_col;
      const int8_t cos_bit_row = cfg->cos_bit_row;
      const TxfmFuncAVX2 txfm_func_col = fwd_txfm_type_to_func(cfg->txfm_type_col);
      const TxfmFuncAVX2 txfm_func_row = fwd_txfm_type_to_func(cfg->txfm_type_row);
      ASSERT(txfm_func_col);
      ASSERT(txfm_func_row);
      __m256i *buf_256 = (__m256i *)txfm_buf;
      __m256i *out_256 = (__m256i *)output;
      int32_t num_per_256 = 8;
      int32_t txfm2d_size_256 = txfm_size * txfm_size / num_per_256;
  
      load_buffer_32x32_avx2(input, buf_256, stride);
      av1_round_shift_array_32_avx2(buf_256, out_256, txfm2d_size_256, -shift[0]);
      txfm_func_col(out_256, buf_256, cos_bit_col, stage_range_col);
      av1_round_shift_array_32_avx2(buf_256, out_256, txfm2d_size_256, -shift[1]);
      transpose_32_avx2(txfm_size, out_256, buf_256);
      txfm_func_row(buf_256, out_256, cos_bit_row, stage_range_row);
      av1_round_shift_array_32_avx2(out_256, buf_256, txfm2d_size_256, -shift[2]);
      transpose_32_avx2(txfm_size, buf_256, out_256);
  }
  
  void av1_fwd_txfm2d_32x32_avx2(int16_t *input, int32_t *output,
      uint32_t stride, TxType tx_type, uint8_t  bd)
  {
      DECLARE_ALIGNED(32, int32_t, txfm_buf[1024]);
      Txfm2DFlipCfg cfg;
      Av1TransformConfig(tx_type, TX_32X32, &cfg);
      (void)bd;
      fwd_txfm2d_32x32_avx2(input, output, stride, &cfg, txfm_buf);
  }
  
  #if 0//PF_N2_SUPPORT // Broken support by commit fa20efe18e1ed867720475b8c52d9c5e54427d60 in master
  void av1_idtx32_pf_new_avx2(const __m256i *input, __m256i *output, int8_t cos_bit,
      const int32_t col_num) {
      (void)cos_bit;
      for (int32_t i = 0; i < 16; i++) {
          output[i * col_num] = _mm256_slli_epi32(input[i * col_num], 2);
      }
  }
  static void fidtx32x32_pf_avx2(const __m256i *input, __m256i *output,
      const int8_t cos_bit, const int8_t *stage_range) {
      (void)stage_range;
  
      for (int32_t i = 0; i < 2; i++) {
          av1_idtx32_new_avx2(&input[i * 32], &output[i * 32], cos_bit, 1);
      }
  }
  void av1_fdct32_pf_new_avx2(const __m256i *input, __m256i *output,
      int8_t cos_bit, const int32_t stride) {
      __m256i buf0[32];
      __m256i buf1[32];
      const int32_t *cospi;
      int32_t startidx = 0 * stride;
      int32_t endidx = 31 * stride;
      // stage 0
      // stage 1
      buf1[0] = _mm256_add_epi32(input[startidx], input[endidx]);
      buf1[31] = _mm256_sub_epi32(input[startidx], input[endidx]);
      startidx += stride;
      endidx -= stride;
      buf1[1] = _mm256_add_epi32(input[startidx], input[endidx]);
      buf1[30] = _mm256_sub_epi32(input[startidx], input[endidx]);
      startidx += stride;
      endidx -= stride;
      buf1[2] = _mm256_add_epi32(input[startidx], input[endidx]);
      buf1[29] = _mm256_sub_epi32(input[startidx], input[endidx]);
      startidx += stride;
      endidx -= stride;
      buf1[3] = _mm256_add_epi32(input[startidx], input[endidx]);
      buf1[28] = _mm256_sub_epi32(input[startidx], input[endidx]);
      startidx += stride;
      endidx -= stride;
      buf1[4] = _mm256_add_epi32(input[startidx], input[endidx]);
      buf1[27] = _mm256_sub_epi32(input[startidx], input[endidx]);
      startidx += stride;
      endidx -= stride;
      buf1[5] = _mm256_add_epi32(input[startidx], input[endidx]);
      buf1[26] = _mm256_sub_epi32(input[startidx], input[endidx]);
      startidx += stride;
      endidx -= stride;
      buf1[6] = _mm256_add_epi32(input[startidx], input[endidx]);
      buf1[25] = _mm256_sub_epi32(input[startidx], input[endidx]);
      startidx += stride;
      endidx -= stride;
      buf1[7] = _mm256_add_epi32(input[startidx], input[endidx]);
      buf1[24] = _mm256_sub_epi32(input[startidx], input[endidx]);
      startidx += stride;
      endidx -= stride;
      buf1[8] = _mm256_add_epi32(input[startidx], input[endidx]);
      buf1[23] = _mm256_sub_epi32(input[startidx], input[endidx]);
      startidx += stride;
      endidx -= stride;
      buf1[9] = _mm256_add_epi32(input[startidx], input[endidx]);
      buf1[22] = _mm256_sub_epi32(input[startidx], input[endidx]);
      startidx += stride;
      endidx -= stride;
      buf1[10] = _mm256_add_epi32(input[startidx], input[endidx]);
      buf1[21] = _mm256_sub_epi32(input[startidx], input[endidx]);
      startidx += stride;
      endidx -= stride;
      buf1[11] = _mm256_add_epi32(input[startidx], input[endidx]);
      buf1[20] = _mm256_sub_epi32(input[startidx], input[endidx]);
      startidx += stride;
      endidx -= stride;
      buf1[12] = _mm256_add_epi32(input[startidx], input[endidx]);
      buf1[19] = _mm256_sub_epi32(input[startidx], input[endidx]);
      startidx += stride;
      endidx -= stride;
      buf1[13] = _mm256_add_epi32(input[startidx], input[endidx]);
      buf1[18] = _mm256_sub_epi32(input[startidx], input[endidx]);
      startidx += stride;
      endidx -= stride;
      buf1[14] = _mm256_add_epi32(input[startidx], input[endidx]);
      buf1[17] = _mm256_sub_epi32(input[startidx], input[endidx]);
      startidx += stride;
      endidx -= stride;
      buf1[15] = _mm256_add_epi32(input[startidx], input[endidx]);
      buf1[16] = _mm256_sub_epi32(input[startidx], input[endidx]);
  
      // stage 2
      cospi = cospi_arr(cos_bit);
      buf0[0] = _mm256_add_epi32(buf1[0], buf1[15]);
      buf0[15] = _mm256_sub_epi32(buf1[0], buf1[15]);
      buf0[1] = _mm256_add_epi32(buf1[1], buf1[14]);
      buf0[14] = _mm256_sub_epi32(buf1[1], buf1[14]);
      buf0[2] = _mm256_add_epi32(buf1[2], buf1[13]);
      buf0[13] = _mm256_sub_epi32(buf1[2], buf1[13]);
      buf0[3] = _mm256_add_epi32(buf1[3], buf1[12]);
      buf0[12] = _mm256_sub_epi32(buf1[3], buf1[12]);
      buf0[4] = _mm256_add_epi32(buf1[4], buf1[11]);
      buf0[11] = _mm256_sub_epi32(buf1[4], buf1[11]);
      buf0[5] = _mm256_add_epi32(buf1[5], buf1[10]);
      buf0[10] = _mm256_sub_epi32(buf1[5], buf1[10]);
      buf0[6] = _mm256_add_epi32(buf1[6], buf1[9]);
      buf0[9] = _mm256_sub_epi32(buf1[6], buf1[9]);
      buf0[7] = _mm256_add_epi32(buf1[7], buf1[8]);
      buf0[8] = _mm256_sub_epi32(buf1[7], buf1[8]);
      buf0[16] = buf1[16];
      buf0[17] = buf1[17];
      buf0[18] = buf1[18];
      buf0[19] = buf1[19];
      btf_32_avx2_type0(-cospi[32], cospi[32], buf1[20], buf1[27], buf0[20],
          buf0[27], cos_bit);
      btf_32_avx2_type0(-cospi[32], cospi[32], buf1[21], buf1[26], buf0[21],
          buf0[26], cos_bit);
      btf_32_avx2_type0(-cospi[32], cospi[32], buf1[22], buf1[25], buf0[22],
          buf0[25], cos_bit);
      btf_32_avx2_type0(-cospi[32], cospi[32], buf1[23], buf1[24], buf0[23],
          buf0[24], cos_bit);
      buf0[28] = buf1[28];
      buf0[29] = buf1[29];
      buf0[30] = buf1[30];
      buf0[31] = buf1[31];
  
      // stage 3
      cospi = cospi_arr(cos_bit);
      buf1[0] = _mm256_add_epi32(buf0[0], buf0[7]);
      buf1[7] = _mm256_sub_epi32(buf0[0], buf0[7]);
      buf1[1] = _mm256_add_epi32(buf0[1], buf0[6]);
      buf1[6] = _mm256_sub_epi32(buf0[1], buf0[6]);
      buf1[2] = _mm256_add_epi32(buf0[2], buf0[5]);
      buf1[5] = _mm256_sub_epi32(buf0[2], buf0[5]);
      buf1[3] = _mm256_add_epi32(buf0[3], buf0[4]);
      buf1[4] = _mm256_sub_epi32(buf0[3], buf0[4]);
      buf1[8] = buf0[8];
      buf1[9] = buf0[9];
      btf_32_avx2_type0(-cospi[32], cospi[32], buf0[10], buf0[13], buf1[10],
          buf1[13], cos_bit);
      btf_32_avx2_type0(-cospi[32], cospi[32], buf0[11], buf0[12], buf1[11],
          buf1[12], cos_bit);
      buf1[14] = buf0[14];
      buf1[15] = buf0[15];
      buf1[16] = _mm256_add_epi32(buf0[16], buf0[23]);
      buf1[23] = _mm256_sub_epi32(buf0[16], buf0[23]);
      buf1[17] = _mm256_add_epi32(buf0[17], buf0[22]);
      buf1[22] = _mm256_sub_epi32(buf0[17], buf0[22]);
      buf1[18] = _mm256_add_epi32(buf0[18], buf0[21]);
      buf1[21] = _mm256_sub_epi32(buf0[18], buf0[21]);
      buf1[19] = _mm256_add_epi32(buf0[19], buf0[20]);
      buf1[20] = _mm256_sub_epi32(buf0[19], buf0[20]);
      buf1[24] = _mm256_sub_epi32(buf0[31], buf0[24]);
      buf1[31] = _mm256_add_epi32(buf0[31], buf0[24]);
      buf1[25] = _mm256_sub_epi32(buf0[30], buf0[25]);
      buf1[30] = _mm256_add_epi32(buf0[30], buf0[25]);
      buf1[26] = _mm256_sub_epi32(buf0[29], buf0[26]);
      buf1[29] = _mm256_add_epi32(buf0[29], buf0[26]);
      buf1[27] = _mm256_sub_epi32(buf0[28], buf0[27]);
      buf1[28] = _mm256_add_epi32(buf0[28], buf0[27]);
  
      // stage 4
      cospi = cospi_arr(cos_bit);
      buf0[0] = _mm256_add_epi32(buf1[0], buf1[3]);
      buf0[3] = _mm256_sub_epi32(buf1[0], buf1[3]);
      buf0[1] = _mm256_add_epi32(buf1[1], buf1[2]);
      buf0[2] = _mm256_sub_epi32(buf1[1], buf1[2]);
      buf0[4] = buf1[4];
      btf_32_avx2_type0(-cospi[32], cospi[32], buf1[5], buf1[6], buf0[5], buf0[6],
          cos_bit);
      buf0[7] = buf1[7];
      buf0[8] = _mm256_add_epi32(buf1[8], buf1[11]);
      buf0[11] = _mm256_sub_epi32(buf1[8], buf1[11]);
      buf0[9] = _mm256_add_epi32(buf1[9], buf1[10]);
      buf0[10] = _mm256_sub_epi32(buf1[9], buf1[10]);
      buf0[12] = _mm256_sub_epi32(buf1[15], buf1[12]);
      buf0[15] = _mm256_add_epi32(buf1[15], buf1[12]);
      buf0[13] = _mm256_sub_epi32(buf1[14], buf1[13]);
      buf0[14] = _mm256_add_epi32(buf1[14], buf1[13]);
      buf0[16] = buf1[16];
      buf0[17] = buf1[17];
      btf_32_avx2_type0(-cospi[16], cospi[48], buf1[18], buf1[29], buf0[18],
          buf0[29], cos_bit);
      btf_32_avx2_type0(-cospi[16], cospi[48], buf1[19], buf1[28], buf0[19],
          buf0[28], cos_bit);
      btf_32_avx2_type0(-cospi[48], -cospi[16], buf1[20], buf1[27], buf0[20],
          buf0[27], cos_bit);
      btf_32_avx2_type0(-cospi[48], -cospi[16], buf1[21], buf1[26], buf0[21],
          buf0[26], cos_bit);
      buf0[22] = buf1[22];
      buf0[23] = buf1[23];
      buf0[24] = buf1[24];
      buf0[25] = buf1[25];
      buf0[30] = buf1[30];
      buf0[31] = buf1[31];
  
      // stage 5
      cospi = cospi_arr(cos_bit);
      btf_32_avx2_type0(cospi[32], cospi[32], buf0[0], buf0[1], buf1[0], buf1[1],
          cos_bit);
      btf_32_avx2_type1(cospi[48], cospi[16], buf0[2], buf0[3], buf1[2], buf1[3],
          cos_bit);
      buf1[4] = _mm256_add_epi32(buf0[4], buf0[5]);
      buf1[5] = _mm256_sub_epi32(buf0[4], buf0[5]);
      buf1[6] = _mm256_sub_epi32(buf0[7], buf0[6]);
      buf1[7] = _mm256_add_epi32(buf0[7], buf0[6]);
      buf1[8] = buf0[8];
      btf_32_avx2_type0(-cospi[16], cospi[48], buf0[9], buf0[14], buf1[9],
          buf1[14], cos_bit);
      btf_32_avx2_type0(-cospi[48], -cospi[16], buf0[10], buf0[13], buf1[10],
          buf1[13], cos_bit);
      buf1[11] = buf0[11];
      buf1[12] = buf0[12];
      buf1[15] = buf0[15];
      buf1[16] = _mm256_add_epi32(buf0[16], buf0[19]);
      buf1[19] = _mm256_sub_epi32(buf0[16], buf0[19]);
      buf1[17] = _mm256_add_epi32(buf0[17], buf0[18]);
      buf1[18] = _mm256_sub_epi32(buf0[17], buf0[18]);
      buf1[20] = _mm256_sub_epi32(buf0[23], buf0[20]);
      buf1[23] = _mm256_add_epi32(buf0[23], buf0[20]);
      buf1[21] = _mm256_sub_epi32(buf0[22], buf0[21]);
      buf1[22] = _mm256_add_epi32(buf0[22], buf0[21]);
      buf1[24] = _mm256_add_epi32(buf0[24], buf0[27]);
      buf1[27] = _mm256_sub_epi32(buf0[24], buf0[27]);
      buf1[25] = _mm256_add_epi32(buf0[25], buf0[26]);
      buf1[26] = _mm256_sub_epi32(buf0[25], buf0[26]);
      buf1[28] = _mm256_sub_epi32(buf0[31], buf0[28]);
      buf1[31] = _mm256_add_epi32(buf0[31], buf0[28]);
      buf1[29] = _mm256_sub_epi32(buf0[30], buf0[29]);
      buf1[30] = _mm256_add_epi32(buf0[30], buf0[29]);
  
      // stage 6
      cospi = cospi_arr(cos_bit);
      buf0[0] = buf1[0];
      //buf0[1] = buf1[1];
      buf0[2] = buf1[2];
      //buf0[3] = buf1[3];
      btf_32_avx2_type1(cospi[56], cospi[8], buf1[4], buf1[7], buf0[4], buf0[7],
          cos_bit);
      btf_32_avx2_type1(cospi[24], cospi[40], buf1[5], buf1[6], buf0[5], buf0[6],
          cos_bit);
      buf0[8] = _mm256_add_epi32(buf1[8], buf1[9]);
      buf0[9] = _mm256_sub_epi32(buf1[8], buf1[9]);
      buf0[10] = _mm256_sub_epi32(buf1[11], buf1[10]);
      buf0[11] = _mm256_add_epi32(buf1[11], buf1[10]);
      buf0[12] = _mm256_add_epi32(buf1[12], buf1[13]);
      buf0[13] = _mm256_sub_epi32(buf1[12], buf1[13]);
      buf0[14] = _mm256_sub_epi32(buf1[15], buf1[14]);
      buf0[15] = _mm256_add_epi32(buf1[15], buf1[14]);
      buf0[16] = buf1[16];
      btf_32_avx2_type0(-cospi[8], cospi[56], buf1[17], buf1[30], buf0[17],
          buf0[30], cos_bit);
      btf_32_avx2_type0(-cospi[56], -cospi[8], buf1[18], buf1[29], buf0[18],
          buf0[29], cos_bit);
      buf0[19] = buf1[19];
      buf0[20] = buf1[20];
      btf_32_avx2_type0(-cospi[40], cospi[24], buf1[21], buf1[26], buf0[21],
          buf0[26], cos_bit);
      btf_32_avx2_type0(-cospi[24], -cospi[40], buf1[22], buf1[25], buf0[22],
          buf0[25], cos_bit);
      buf0[23] = buf1[23];
      buf0[24] = buf1[24];
      buf0[27] = buf1[27];
      buf0[28] = buf1[28];
      buf0[31] = buf1[31];
  
      // stage 7
      cospi = cospi_arr(cos_bit);
      buf1[0] = buf0[0];
      //buf1[1] = buf0[1];
      buf1[2] = buf0[2];
      //buf1[3] = buf0[3];
      buf1[4] = buf0[4];
      //buf1[5] = buf0[5];
      buf1[6] = buf0[6];
      //buf1[7] = buf0[7];
      btf_32_avx2_type1(cospi[60], cospi[4], buf0[8], buf0[15], buf1[8], buf1[15],
          cos_bit);
      btf_32_avx2_type1(cospi[28], cospi[36], buf0[9], buf0[14], buf1[9],
          buf1[14], cos_bit);
      btf_32_avx2_type1(cospi[44], cospi[20], buf0[10], buf0[13], buf1[10],
          buf1[13], cos_bit);
      btf_32_avx2_type1(cospi[12], cospi[52], buf0[11], buf0[12], buf1[11],
          buf1[12], cos_bit);
      buf1[16] = _mm256_add_epi32(buf0[16], buf0[17]);
      buf1[17] = _mm256_sub_epi32(buf0[16], buf0[17]);
      buf1[18] = _mm256_sub_epi32(buf0[19], buf0[18]);
      buf1[19] = _mm256_add_epi32(buf0[19], buf0[18]);
      buf1[20] = _mm256_add_epi32(buf0[20], buf0[21]);
      buf1[21] = _mm256_sub_epi32(buf0[20], buf0[21]);
      buf1[22] = _mm256_sub_epi32(buf0[23], buf0[22]);
      buf1[23] = _mm256_add_epi32(buf0[23], buf0[22]);
      buf1[24] = _mm256_add_epi32(buf0[24], buf0[25]);
      buf1[25] = _mm256_sub_epi32(buf0[24], buf0[25]);
      buf1[26] = _mm256_sub_epi32(buf0[27], buf0[26]);
      buf1[27] = _mm256_add_epi32(buf0[27], buf0[26]);
      buf1[28] = _mm256_add_epi32(buf0[28], buf0[29]);
      buf1[29] = _mm256_sub_epi32(buf0[28], buf0[29]);
      buf1[30] = _mm256_sub_epi32(buf0[31], buf0[30]);
      buf1[31] = _mm256_add_epi32(buf0[31], buf0[30]);
  
      // stage 8
      cospi = cospi_arr(cos_bit);
      buf0[0] = buf1[0];
      //buf0[1] = buf1[1];
      buf0[2] = buf1[2];
      // buf0[3] = buf1[3];
      buf0[4] = buf1[4];
      //buf0[5] = buf1[5];
      buf0[6] = buf1[6];
      //buf0[7] = buf1[7];
      buf0[8] = buf1[8];
      //buf0[9] = buf1[9];
      buf0[10] = buf1[10];
      //buf0[11] = buf1[11];
      buf0[12] = buf1[12];
      //buf0[13] = buf1[13];
      buf0[14] = buf1[14];
      //buf0[15] = buf1[15];
      btf_32_avx2_type1(cospi[62], cospi[2], buf1[16], buf1[31], buf0[16],
          buf0[31], cos_bit);
      btf_32_avx2_type1(cospi[30], cospi[34], buf1[17], buf1[30], buf0[17],
          buf0[30], cos_bit);
      btf_32_avx2_type1(cospi[46], cospi[18], buf1[18], buf1[29], buf0[18],
          buf0[29], cos_bit);
      btf_32_avx2_type1(cospi[14], cospi[50], buf1[19], buf1[28], buf0[19],
          buf0[28], cos_bit);
      btf_32_avx2_type1(cospi[54], cospi[10], buf1[20], buf1[27], buf0[20],
          buf0[27], cos_bit);
      btf_32_avx2_type1(cospi[22], cospi[42], buf1[21], buf1[26], buf0[21],
          buf0[26], cos_bit);
      btf_32_avx2_type1(cospi[38], cospi[26], buf1[22], buf1[25], buf0[22],
          buf0[25], cos_bit);
      btf_32_avx2_type1(cospi[6], cospi[58], buf1[23], buf1[24], buf0[23],
          buf0[24], cos_bit);
  
      startidx = 0 * stride;
      //endidx = 31 * stride;
      // stage 9
      output[startidx] = buf0[0];
      //output[endidx] = buf0[31];
      startidx += stride;
      //endidx -= stride;
      output[startidx] = buf0[16];
      //output[endidx] = buf0[15];
      startidx += stride;
      //endidx -= stride;
      output[startidx] = buf0[8];
      //output[endidx] = buf0[23];
      startidx += stride;
      //endidx -= stride;
      output[startidx] = buf0[24];
      //output[endidx] = buf0[7];
      startidx += stride;
      //endidx -= stride;
      output[startidx] = buf0[4];
      //output[endidx] = buf0[27];
      startidx += stride;
      //endidx -= stride;
      output[startidx] = buf0[20];
      //output[endidx] = buf0[11];
      startidx += stride;
      //endidx -= stride;
      output[startidx] = buf0[12];
      //output[endidx] = buf0[19];
      startidx += stride;
      //endidx -= stride;
      output[startidx] = buf0[28];
      //output[endidx] = buf0[3];
      startidx += stride;
      //endidx -= stride;
      output[startidx] = buf0[2];
      //output[endidx] = buf0[29];
      startidx += stride;
      //endidx -= stride;
      output[startidx] = buf0[18];
      //output[endidx] = buf0[13];
      startidx += stride;
      //endidx -= stride;
      output[startidx] = buf0[10];
      //output[endidx] = buf0[21];
      startidx += stride;
      //endidx -= stride;
      output[startidx] = buf0[26];
      //output[endidx] = buf0[5];
      startidx += stride;
      //endidx -= stride;
      output[startidx] = buf0[6];
      //output[endidx] = buf0[25];
      startidx += stride;
      //endidx -= stride;
      output[startidx] = buf0[22];
      //output[endidx] = buf0[9];
      startidx += stride;
      //endidx -= stride;
      output[startidx] = buf0[14];
      //output[endidx] = buf0[17];
      startidx += stride;
      //endidx -= stride;
      output[startidx] = buf0[30];
      //output[endidx] = buf0[1];
  }
  static void fdct32x32_pf_avx2(const __m256i *input, __m256i *output,
      const int8_t cos_bit, const int8_t *stage_range) {
      const int32_t txfm_size = 32;
      const int32_t num_per_256 = 8;
      int32_t col_num = txfm_size / num_per_256;
      int32_t col;
      (void)stage_range;
      for (col = 0; col < col_num; col++) {
          av1_fdct32_pf_new_avx2((input + col), (output + col), cos_bit, col_num);
      }
  }
  static void fdct32x32_pf_row_avx2(const __m256i *input, __m256i *output,
      const int8_t cos_bit, const int8_t *stage_range) {
      const int32_t txfm_size = 32;
      const int32_t num_per_256 = 8;
      int32_t col_num = txfm_size / num_per_256;
      int32_t col;
      (void)stage_range;
      for (col = 0; col < col_num / 2; col++) {
          av1_fdct32_pf_new_avx2((input + col), (output + col), cos_bit, col_num);
      }
  }
  static INLINE TxfmFuncAVX2 fwd_txfm_pf_type_to_func(TxfmType TxfmType) {
      switch (TxfmType) {
      case TXFM_TYPE_DCT32: return fdct32x32_pf_avx2; break;
      case TXFM_TYPE_IDENTITY32: return fidtx32x32_pf_avx2; break;
      default: assert(0);
      }
      return NULL;
  }
  static INLINE TxfmFuncAVX2 fwd_txfm_pf_row_type_to_func(TxfmType TxfmType) {
      switch (TxfmType) {
      case TXFM_TYPE_DCT32: return fdct32x32_pf_row_avx2; break;
      case TXFM_TYPE_IDENTITY32: return fidtx32x32_pf_avx2; break;
      default: assert(0);
      }
      return NULL;
  }
  static INLINE void av1_round_shift_array_32_pf_avx2(__m256i *input,
      __m256i *output,
      const int32_t size,
      const int32_t bit) {
      ASSERT(!bit);
  
      int32_t i;
      for (i = 0; i < size; i += 4) {
          output[i] = _mm256_slli_epi32(input[i], -bit);
          output[i + 1] = _mm256_slli_epi32(input[i + 1], -bit);
      }
  
  }
  
  static INLINE void fwd_txfm2d_pf_32x32_avx2(const int16_t *input, int32_t *output,
      const int32_t stride,
      const Txfm2DFlipCfg *cfg,
      int32_t *txfm_buf) {
      assert(cfg->tx_size < TX_SIZES);
      const int32_t txfm_size = tx_size_wide[cfg->tx_size];
      const int8_t *shift = cfg->shift;
      const int8_t *stage_range_col = cfg->stage_range_col;
      const int8_t *stage_range_row = cfg->stage_range_row;
      const int8_t cos_bit_col = cfg->cos_bit_col;
      const int8_t cos_bit_row = cfg->cos_bit_row;
      const TxfmFuncAVX2 txfm_func_col = fwd_txfm_pf_type_to_func(cfg->txfm_type_col);
      const TxfmFuncAVX2 txfm_func_row = fwd_txfm_pf_row_type_to_func(cfg->txfm_type_row);
      ASSERT(txfm_func_col);
      ASSERT(txfm_func_row);
      __m256i *buf_256 = (__m256i *)txfm_buf;
      __m256i *out_256 = (__m256i *)output;
      int32_t temp_buf[32 * 32];
      memset(temp_buf, 0, 1024 * sizeof(int32_t));
      __m256i *temp_buf_256 = (__m256i *)temp_buf;
      int32_t temp_out[32 * 32];
      __m256i *temp_out_256 = (__m256i *)temp_out;
      int32_t num_per_256 = 8;
      int32_t txfm2d_size_256 = txfm_size * txfm_size / num_per_256;
  
      int16_array_with_stride_to_int32_array_without_stride(input, stride, txfm_buf,
          txfm_size);
      av1_round_shift_array_32_avx2(buf_256, temp_out_256, txfm2d_size_256, -shift[0]);
      txfm_func_col(temp_out_256, buf_256, cos_bit_col, stage_range_col);
      av1_round_shift_array_32_avx2(buf_256, temp_out_256, txfm2d_size_256 / 2, -shift[1]);
      transpose_32_avx2(txfm_size, temp_out_256, buf_256);
      txfm_func_row(buf_256, temp_out_256, cos_bit_row, stage_range_row);
      av1_round_shift_array_32_pf_avx2(temp_out_256, temp_buf_256, txfm2d_size_256 / 2, -shift[2]);
      transpose_32_avx2(txfm_size, temp_buf_256, out_256);
  
  }
  void av1_fwd_txfm2d_pf_32x32_avx2(int16_t *input, int32_t *output, uint32_t stride, TxType tx_type, uint8_t  bd)
  {
      __m256i *out_256 = (__m256i *)output;
      DECLARE_ALIGNED(32, int32_t, txfm_buf[1024]);
      Txfm2DFlipCfg cfg;
      Av1TransformConfig(tx_type, TX_32X32, &cfg);
      (void)bd;
      for (int32_t i = 0; i < 128; i++) {
          out_256[i] = _mm256_setzero_si256();
      }
      fwd_txfm2d_pf_32x32_avx2(input, output, stride, &cfg, txfm_buf);
  }
  #endif
  
  static INLINE void load_buffer_64x64_avx2(const int16_t *input,
      int32_t stride, __m256i *output) {
      __m128i x0, x1, x2, x3, x4, x5, x6, x7;
      __m256i v0, v1, v2, v3, v4, v5, v6, v7;
      int32_t i;
  
      for (i = 0; i < 64; ++i) {
          x0 = _mm_loadu_si128((const __m128i *)(input + 0 * 8));
          x1 = _mm_loadu_si128((const __m128i *)(input + 1 * 8));
          x2 = _mm_loadu_si128((const __m128i *)(input + 2 * 8));
          x3 = _mm_loadu_si128((const __m128i *)(input + 3 * 8));
          x4 = _mm_loadu_si128((const __m128i *)(input + 4 * 8));
          x5 = _mm_loadu_si128((const __m128i *)(input + 5 * 8));
          x6 = _mm_loadu_si128((const __m128i *)(input + 6 * 8));
          x7 = _mm_loadu_si128((const __m128i *)(input + 7 * 8));
  
          v0 = _mm256_cvtepi16_epi32(x0);
          v1 = _mm256_cvtepi16_epi32(x1);
          v2 = _mm256_cvtepi16_epi32(x2);
          v3 = _mm256_cvtepi16_epi32(x3);
          v4 = _mm256_cvtepi16_epi32(x4);
          v5 = _mm256_cvtepi16_epi32(x5);
          v6 = _mm256_cvtepi16_epi32(x6);
          v7 = _mm256_cvtepi16_epi32(x7);
  
          _mm256_storeu_si256(output + 0, v0);
          _mm256_storeu_si256(output + 1, v1);
          _mm256_storeu_si256(output + 2, v2);
          _mm256_storeu_si256(output + 3, v3);
          _mm256_storeu_si256(output + 4, v4);
          _mm256_storeu_si256(output + 5, v5);
          _mm256_storeu_si256(output + 6, v6);
          _mm256_storeu_si256(output + 7, v7);
  
          input += stride;
          output += 8;
      }
  }
  
  void av1_fwd_txfm2d_64x64_avx2(int16_t *input, int32_t *output,
      uint32_t stride, TxType tx_type, uint8_t  bd) {
      (void)bd;
      __m256i in[512];
      __m256i *out = (__m256i *)output;
      const int32_t txw_idx = tx_size_wide_log2[TX_64X64] - tx_size_wide_log2[0];
      const int32_t txh_idx = tx_size_high_log2[TX_64X64] - tx_size_high_log2[0];
      const int8_t *shift = fwd_txfm_shift_ls[TX_64X64];
  
      switch (tx_type) {
      case IDTX:
          load_buffer_64x64_avx2(input, stride, out);
          fidtx64x64_avx2(out, in);
          av1_round_shift_array_32_avx2(in, out, 512, -shift[1]);
          transpose_8nx8n(out, in, 64, 64);
  
          /*row wise transform*/
          fidtx64x64_avx2(in, out);
          av1_round_shift_array_32_avx2(out, in, 512, -shift[2]);
          transpose_8nx8n(in, out, 64, 64);
          break;
      case DCT_DCT:
          load_buffer_64x64_avx2(input, stride, out);
          fdct64x64_avx2(out, in, fwd_cos_bit_col[txw_idx][txh_idx]);
          av1_round_shift_array_32_avx2(in, out, 512, -shift[1]);
          transpose_8nx8n(out, in, 64, 64);
  
          /*row wise transform*/
          fdct64x64_avx2(in, out, fwd_cos_bit_row[txw_idx][txh_idx]);
          av1_round_shift_array_32_avx2(out, in, 512, -shift[2]);
          transpose_8nx8n(in, out, 64, 64);
          break;
      default: assert(0);
      }
  }
  
  static INLINE void load_buffer_32_avx2(const int16_t *input, __m256i *in,
      int32_t stride, int32_t flipud, int32_t fliplr,
      int32_t shift) {
      __m128i temp[4];
      if (!flipud) {
          temp[0] = _mm_loadu_si128((const __m128i *)(input + 0 * stride));
          temp[1] = _mm_load_si128((const __m128i *)(input + 1 * stride));
          temp[2] = _mm_load_si128((const __m128i *)(input + 2 * stride));
          temp[3] = _mm_load_si128((const __m128i *)(input + 3 * stride));
  
      }
      else {
          temp[0] = _mm_load_si128((const __m128i *)(input + 3 * stride));
          temp[1] = _mm_load_si128((const __m128i *)(input + 2 * stride));
          temp[2] = _mm_load_si128((const __m128i *)(input + 1 * stride));
          temp[3] = _mm_load_si128((const __m128i *)(input + 0 * stride));
      }
  
      if (fliplr) {
          temp[0] = mm_reverse_epi16(temp[0]);
          temp[1] = mm_reverse_epi16(temp[1]);
          temp[2] = mm_reverse_epi16(temp[2]);
          temp[3] = mm_reverse_epi16(temp[3]);
      }
  
      in[0] = _mm256_cvtepi16_epi32(temp[0]);
      in[1] = _mm256_cvtepi16_epi32(temp[1]);
      in[2] = _mm256_cvtepi16_epi32(temp[2]);
      in[3] = _mm256_cvtepi16_epi32(temp[3]);
  
  
      in[0] = _mm256_slli_epi32(in[0], shift);
      in[1] = _mm256_slli_epi32(in[1], shift);
      in[2] = _mm256_slli_epi32(in[2], shift);
      in[3] = _mm256_slli_epi32(in[3], shift);
  }
  
  static INLINE void load_buffer_16_avx2(const int16_t *input, __m256i *in,
      int32_t stride, int32_t flipud, int32_t fliplr,
      int32_t shift) {
      __m128i temp[2];
      if (!flipud) {
          temp[0] = _mm_loadu_si128((const __m128i *)(input + 0 * stride));
          temp[1] = _mm_load_si128((const __m128i *)(input + 1 * stride));
      }
      else {
          temp[0] = _mm_load_si128((const __m128i *)(input + 1 * stride));
          temp[1] = _mm_load_si128((const __m128i *)(input + 0 * stride));
      }
  
      if (fliplr) {
          temp[0] = mm_reverse_epi16(temp[0]);
          temp[1] = mm_reverse_epi16(temp[1]);
      }
  
      in[0] = _mm256_cvtepi16_epi32(temp[0]);
      in[1] = _mm256_cvtepi16_epi32(temp[1]);
  
      in[0] = _mm256_slli_epi32(in[0], shift);
      in[1] = _mm256_slli_epi32(in[1], shift);
  }
  
  static INLINE void load_buffer_32x8n(const int16_t *input, __m256i *out,
      int32_t stride, int32_t flipud, int32_t fliplr,
      int32_t shift, const int32_t height) {
      const int16_t *in = input;
      __m256i *output = out;
      for (int32_t col = 0; col < height; col++) {
          in = input + col * stride;
          output = out + col * 4;
          load_buffer_32_avx2(in, output, 8, flipud, fliplr, shift);
      }
  }
  
  static INLINE void load_buffer_8x16(const int16_t *input, __m256i *out,
      int32_t stride, int32_t flipud, int32_t fliplr,
      int32_t shift) {
      const int16_t *topL = input;
      const int16_t *botL = input + 8 * stride;
  
      const int16_t *tmp;
  
      if (flipud) {
          tmp = topL;
          topL = botL;
          botL = tmp;
      }
  
      load_buffer_8x8(topL, out, stride, flipud, fliplr, shift);
      load_buffer_8x8(botL, out + 8, stride, flipud, fliplr, shift);
  }
  
  static INLINE void col_txfm_8x4_rounding(__m256i *in, int32_t shift) {
      const __m256i rounding = _mm256_set1_epi32(1 << (shift - 1));
  
      in[0] = _mm256_add_epi32(in[0], rounding);
      in[1] = _mm256_add_epi32(in[1], rounding);
      in[2] = _mm256_add_epi32(in[2], rounding);
      in[3] = _mm256_add_epi32(in[3], rounding);
  
      in[0] = _mm256_srai_epi32(in[0], shift);
      in[1] = _mm256_srai_epi32(in[1], shift);
      in[2] = _mm256_srai_epi32(in[2], shift);
      in[3] = _mm256_srai_epi32(in[3], shift);
  }
  
  static INLINE void col_txfm_8x16_rounding(__m256i *in, int32_t shift) {
      col_txfm_8x8_rounding(&in[0], shift);
      col_txfm_8x8_rounding(&in[8], shift);
  }
  
  static INLINE void write_buffer_16x8_avx2(const __m256i *res, int32_t *output,
      const int32_t stride) {
      _mm256_storeu_si256((__m256i *)(output), res[0]);
      _mm256_storeu_si256((__m256i *)(output + stride), res[1]);
      _mm256_storeu_si256((__m256i *)(output + (stride * 2)), res[2]);
      _mm256_storeu_si256((__m256i *)(output + (stride * 3)), res[3]);
      _mm256_storeu_si256((__m256i *)(output + (stride * 4)), res[4]);
      _mm256_storeu_si256((__m256i *)(output + (stride * 5)), res[5]);
      _mm256_storeu_si256((__m256i *)(output + (stride * 6)), res[6]);
      _mm256_storeu_si256((__m256i *)(output + (stride * 7)), res[7]);
  }
  
  static INLINE void av1_round_shift_rect_array_32_avx2(__m256i *input,
      __m256i *output,
      const int32_t size,
      const int32_t bit,
      const int32_t val) {
      const __m256i sqrt2 = _mm256_set1_epi32(val);
      const __m256i round2 = _mm256_set1_epi32(1 << (NewSqrt2Bits - 1));
      int32_t i;
      if (bit > 0) {
          const __m256i round1 = _mm256_set1_epi32(1 << (bit - 1));
          __m256i r0, r1, r2, r3;
          for (i = 0; i < size; i++) {
              r0 = _mm256_add_epi32(input[i], round1);
              r1 = _mm256_srai_epi32(r0, bit);
              r2 = _mm256_mullo_epi32(sqrt2, r1);
              r3 = _mm256_add_epi32(r2, round2);
              output[i]  = _mm256_srai_epi32(r3, NewSqrt2Bits);
          }
      } else {
          __m256i r0, r1, r2;
          for (i = 0; i < size; i++) {
              r0 = _mm256_slli_epi32(input[i], -bit);
              r1 = _mm256_mullo_epi32(sqrt2, r0);
              r2 = _mm256_add_epi32(r1, round2);
              output[i] = _mm256_srai_epi32(r2, NewSqrt2Bits);
          }
      }
  }
  
  void av1_fwd_txfm2d_32x64_avx2(int16_t *input, int32_t *output, uint32_t stride, TxType tx_type, uint8_t  bd)
  {
      (void)tx_type;
      __m256i in[256];
      __m256i *outcoef256 = (__m256i *)output;
      const int8_t *shift = fwd_txfm_shift_ls[TX_32X64];
      const int32_t txw_idx = get_txw_idx(TX_32X64);
      const int32_t txh_idx = get_txh_idx(TX_32X64);
      const int32_t txfm_size_col = tx_size_wide[TX_32X64];
      const int32_t txfm_size_row = tx_size_high[TX_32X64];
      int8_t bitcol = fwd_cos_bit_col[txw_idx][txh_idx];
      int8_t bitrow = fwd_cos_bit_row[txw_idx][txh_idx];
      const int32_t num_row = txfm_size_row >> 3;
      const int32_t num_col = txfm_size_col >> 3;
  
      // column transform
      load_buffer_32x8n(input, in, stride, 0, 0, shift[0], txfm_size_row);
      av1_fdct64_new_avx2(in, in, bitcol, txfm_size_col, num_col);
  
      for (int32_t i = 0; i < num_row; i++) {
          col_txfm_16x16_rounding((in + i * txfm_size_col), -shift[1]);
      }
      transpose_8nx8n(in, outcoef256, txfm_size_col, txfm_size_row);
  
      // row transform
      av1_fdct32_new_avx2(outcoef256, in, bitrow, txfm_size_row, num_row);
      transpose_8nx8n(in, outcoef256, txfm_size_row, txfm_size_col);
      av1_round_shift_rect_array_32_avx2(outcoef256, outcoef256, 256, -shift[2],
          NewSqrt2);
      (void)bd;
  }
  
  void av1_fwd_txfm2d_64x32_avx2(int16_t *input, int32_t *output, uint32_t stride, TxType tx_type, uint8_t  bd)
  {
      (void)tx_type;
      __m256i in[256];
      __m256i *outcoef256 = (__m256i *)output;
      const int8_t *shift = fwd_txfm_shift_ls[TX_64X32];
      const int32_t txw_idx = get_txw_idx(TX_64X32);
      const int32_t txh_idx = get_txh_idx(TX_64X32);
      const int32_t txfm_size_col = tx_size_wide[TX_64X32];
      const int32_t txfm_size_row = tx_size_high[TX_64X32];
      int8_t bitcol = fwd_cos_bit_col[txw_idx][txh_idx];
      int8_t bitrow = fwd_cos_bit_row[txw_idx][txh_idx];
      const int32_t num_row = txfm_size_row >> 3;
      const int32_t num_col = txfm_size_col >> 3;
  
      // column transform
      for (int32_t i = 0; i < 32; i++) {
          load_buffer_32_avx2(input + 0 + i * stride, in + 0 + i * 8, 8, 0, 0, shift[0]);
          load_buffer_32_avx2(input + 32 + i * stride, in + 4 + i * 8, 8, 0, 0, shift[0]);
      }
  
      av1_fdct32_new_avx2(in, in, bitcol, txfm_size_col, num_col);
  
  
      for (int32_t i = 0; i < num_col; i++) {
          col_txfm_16x16_rounding((in + i * txfm_size_row), -shift[1]);
      }
      transpose_8nx8n(in, outcoef256, txfm_size_col, txfm_size_row);
  
      // row transform
      av1_fdct64_new_avx2(outcoef256, in, bitrow, txfm_size_row, num_row);
      transpose_8nx8n(in, outcoef256, txfm_size_row, txfm_size_col);
      av1_round_shift_rect_array_32_avx2(outcoef256, outcoef256, 256,
          -shift[2], NewSqrt2);
      (void)bd;
  }
  
  void av1_fwd_txfm2d_16x64_avx2(int16_t *input, int32_t *output, uint32_t stride, TxType tx_type, uint8_t  bd)
  {
      __m256i in[128];
      __m256i *outcoeff256 = (__m256i *)output;
      const int8_t *shift = fwd_txfm_shift_ls[TX_16X64];
      const int32_t txw_idx = get_txw_idx(TX_16X64);
      const int32_t txh_idx = get_txh_idx(TX_16X64);
      const int32_t txfm_size_col = tx_size_wide[TX_16X64];
      const int32_t txfm_size_row = tx_size_high[TX_16X64];
      int8_t bitcol = fwd_cos_bit_col[txw_idx][txh_idx];
      int8_t bitrow = fwd_cos_bit_row[txw_idx][txh_idx];
      int32_t ud_flip, lr_flip;
      get_flip_cfg(tx_type, &ud_flip, &lr_flip);
      const int32_t num_row = txfm_size_row >> 3;
      const int32_t num_col = txfm_size_col >> 3;
      // col tranform
      for (int32_t i = 0; i < txfm_size_row; i += num_col) {
          load_buffer_16_avx2(input + (i + 0) * stride, in + (i + 0) * num_col, 8,
              ud_flip, lr_flip, shift[0]);
          load_buffer_16_avx2(input + (i + 1) * stride, in + (i + 1) * num_col, 8,
              ud_flip, lr_flip, shift[0]);
      }
  
      av1_fdct64_new_avx2(in, outcoeff256, bitcol, txfm_size_col, num_col);
  
      col_txfm_16x16_rounding(outcoeff256, -shift[1]);
      col_txfm_16x16_rounding(outcoeff256 + 32, -shift[1]);
      col_txfm_16x16_rounding(outcoeff256 + 64, -shift[1]);
      col_txfm_16x16_rounding(outcoeff256 + 96, -shift[1]);
      transpose_8nx8n(outcoeff256, in, txfm_size_col, txfm_size_row);
      // row tranform
      fdct16x16_avx2(in, in, bitrow, num_row);
      transpose_8nx8n(in, outcoeff256, txfm_size_row, txfm_size_col);
      (void)bd;
  }
  
  void av1_fwd_txfm2d_64x16_avx2(int16_t *input, int32_t *output, uint32_t stride, TxType tx_type, uint8_t  bd)
  {
      __m256i in[128];
      __m256i *outcoeff256 = (__m256i *)output;
      const int8_t *shift = fwd_txfm_shift_ls[TX_64X16];
      const int32_t txw_idx = get_txw_idx(TX_64X16);
      const int32_t txh_idx = get_txh_idx(TX_64X16);
      const int32_t txfm_size_col = tx_size_wide[TX_64X16];
      const int32_t txfm_size_row = tx_size_high[TX_64X16];
      int8_t bitcol = fwd_cos_bit_col[txw_idx][txh_idx];
      int8_t bitrow = fwd_cos_bit_row[txw_idx][txh_idx];
      int32_t ud_flip, lr_flip;
      get_flip_cfg(tx_type, &ud_flip, &lr_flip);
      const int32_t num_row = txfm_size_row >> 3;
      const int32_t num_col = txfm_size_col >> 3;
      // col tranform
      for (int32_t i = 0; i < txfm_size_row; i++) {
          load_buffer_16_avx2(input + 0 + i * stride, in + 0 + i * 8, 8,
              ud_flip, lr_flip, shift[0]);
          load_buffer_16_avx2(input + 16 + i * stride, in + 2 + i * 8, 8,
              ud_flip, lr_flip, shift[0]);
          load_buffer_16_avx2(input + 32 + i * stride, in + 4 + i * 8, 8,
              ud_flip, lr_flip, shift[0]);
          load_buffer_16_avx2(input + 48 + i * stride, in + 6 + i * 8, 8,
              ud_flip, lr_flip, shift[0]);
      }
  
      fdct16x16_avx2(in, outcoeff256, bitcol, num_col);
      col_txfm_16x16_rounding(outcoeff256, -shift[1]);
      col_txfm_16x16_rounding(outcoeff256 + 32, -shift[1]);
      col_txfm_16x16_rounding(outcoeff256 + 64, -shift[1]);
      col_txfm_16x16_rounding(outcoeff256 + 96, -shift[1]);
      transpose_8nx8n(outcoeff256, in, txfm_size_col, txfm_size_row);
      // row tranform
      av1_fdct64_new_avx2(in, in, bitrow, txfm_size_row, num_row);
      transpose_8nx8n(in, outcoeff256, txfm_size_row, txfm_size_col);
      (void)bd;
  }
  
  static const fwd_transform_1d_avx2 col_fwdtxfm_8x32_arr[TX_TYPES] = {
      av1_fdct32_new_line_wraper_avx2,// DCT_DCT
      NULL,                   // ADST_DCT
      NULL,                   // DCT_ADST
      NULL,                   // ADST_ADST
      NULL,                   // FLIPADST_DCT
      NULL,                   // DCT_FLIPADST
      NULL,                   // FLIPADST_FLIPADST
      NULL,                   // ADST_FLIPADST
      NULL,                   // FLIPADST_ADST
      av1_idtx32_new_avx2,    // IDTX
      NULL,                   // V_DCT
      NULL,                   // H_DCT
      NULL,                   // V_ADST
      NULL,                   // H_ADST
      NULL,                   // V_FLIPADST
      NULL                    // H_FLIPADST
  };
  
  static const fwd_transform_1d_avx2 row_fwdtxfm_8x32_arr[TX_TYPES] = {
      fdct16x16_avx2,    // DCT_DCT
      NULL,              // ADST_DCT
      NULL,              // DCT_ADST
      NULL,              // ADST_ADST
      NULL,              // FLIPADST_DCT
      NULL,              // DCT_FLIPADST
      NULL,              // FLIPADST_FLIPADST
      NULL,              // ADST_FLIPADST
      NULL,              // FLIPADST_ADST
      fidtx16x16_avx2,   // IDTX
      NULL,              // V_DCT
      NULL,              // H_DCT
      NULL,              // V_ADST
      NULL,              // H_ADST
      NULL,              // V_FLIPADST
      NULL               // H_FLIPADST
  };
  
  static const fwd_transform_1d_avx2 row_fwdtxfm_32x8_arr[TX_TYPES] = {
      fdct8x8_avx2,     // DCT_DCT
      NULL,             // ADST_DCT
      NULL,             // DCT_ADST
      NULL,             // ADST_ADST
      NULL,             // FLIPADST_DCT
      NULL,             // DCT_FLIPADST
      NULL,             // FLIPADST_FLIPADST
      NULL,             // ADST_FLIPADST
      NULL,             // FLIPADST-ADST
      fidtx32x8_avx2,   // IDTX
      NULL,             // V_DCT
      NULL,             // H_DCT
      NULL,             // V_ADST
      NULL,             // H_ADST
      NULL,             // V_FLIPADST
      NULL,             // H_FLIPADST
  };
  
  
  static const fwd_transform_1d_avx2 col_fwdtxfm_8x16_arr[TX_TYPES] = {
      fdct16x16_avx2,   // DCT_DCT
      fadst16x16_avx2,  // ADST_DCT
      fdct16x16_avx2,   // DCT_ADST
      fadst16x16_avx2,  // ADST_ADST
      fadst16x16_avx2,  // FLIPADST_DCT
      fdct16x16_avx2,   // DCT_FLIPADST
      fadst16x16_avx2,  // FLIPADST_FLIPADST
      fadst16x16_avx2,  // ADST_FLIPADST
      fadst16x16_avx2,  // FLIPADST_ADST
      fidtx16x16_avx2,  // IDTX
      fdct16x16_avx2,   // V_DCT
      fidtx16x16_avx2,  // H_DCT
      fadst16x16_avx2,  // V_ADST
      fidtx16x16_avx2,  // H_ADST
      fadst16x16_avx2,  // V_FLIPADST
      fidtx16x16_avx2   // H_FLIPADST
  };
  
  static const fwd_transform_1d_avx2 row_fwdtxfm_8x8_arr[TX_TYPES] = {
      fdct8x8_avx2,   // DCT_DCT
      fdct8x8_avx2,   // ADST_DCT
      fadst8x8_avx2,  // DCT_ADST
      fadst8x8_avx2,  // ADST_ADST
      fdct8x8_avx2,   // FLIPADST_DCT
      fadst8x8_avx2,  // DCT_FLIPADST
      fadst8x8_avx2,  // FLIPADST_FLIPADST
      fadst8x8_avx2,  // ADST_FLIPADST
      fadst8x8_avx2,  // FLIPADST_ADST
      fidtx8x8_avx2,  // IDTX
      fidtx8x8_avx2,  // V_DCT
      fdct8x8_avx2,   // H_DCT
      fidtx8x8_avx2,  // V_ADST
      fadst8x8_avx2,  // H_ADST
      fidtx8x8_avx2,  // V_FLIPADST
      fadst8x8_avx2   // H_FLIPADST
  };
  
  static const fwd_transform_1d_avx2 col_fwdtxfm_8x8_arr[TX_TYPES] = {
      fdct8x8_avx2,   // DCT_DCT
      fadst8x8_avx2,  // ADST_DCT
      fdct8x8_avx2,   // DCT_ADST
      fadst8x8_avx2,  // ADST_ADST
      fadst8x8_avx2,  // FLIPADST_DCT
      fdct8x8_avx2,   // DCT_FLIPADST
      fadst8x8_avx2,  // FLIPADST_FLIPADST
      fadst8x8_avx2,  // ADST_FLIPADST
      fadst8x8_avx2,  // FLIPADST_ADST
      fidtx8x8_avx2,  // IDTX
      fdct8x8_avx2,   // V_DCT
      fidtx8x8_avx2,  // H_DCT
      fadst8x8_avx2,  // V_ADST
      fidtx8x8_avx2,  // H_ADST
      fadst8x8_avx2,  // V_FLIPADST
      fidtx8x8_avx2   // H_FLIPADST
  };
  
  static const fwd_transform_1d_avx2 row_fwdtxfm_8x16_arr[TX_TYPES] = {
      fdct16x16_avx2,   // DCT_DCT
      fdct16x16_avx2,   // ADST_DCT
      fadst16x16_avx2,  // DCT_ADST
      fadst16x16_avx2,  // ADST_ADST
      fdct16x16_avx2,   // FLIPADST_DCT
      fadst16x16_avx2,  // DCT_FLIPADST
      fadst16x16_avx2,  // FLIPADST_FLIPADST
      fadst16x16_avx2,  // ADST_FLIPADST
      fadst16x16_avx2,  // FLIPADST_ADST
      fidtx16x16_avx2,  // IDTX
      fidtx16x16_avx2,  // V_DCT
      fdct16x16_avx2,   // H_DCT
      fidtx16x16_avx2,  // V_ADST
      fadst16x16_avx2,  // H_ADST
      fidtx16x16_avx2,  // V_FLIPADST
      fadst16x16_avx2   // H_FLIPADST
  };
  
  /* call this function only for DCT_DCT, IDTX */
  void av1_fwd_txfm2d_16x32_avx2(int16_t *input, int32_t *output, uint32_t stride, TxType tx_type, uint8_t  bd)
  {
      __m256i in[64];
      __m256i *outcoef256 = (__m256i *)output;
      const int8_t *shift = fwd_txfm_shift_ls[TX_16X32];
      const int32_t txw_idx = get_txw_idx(TX_16X32);
      const int32_t txh_idx = get_txh_idx(TX_16X32);
      const fwd_transform_1d_avx2 col_txfm = col_fwdtxfm_8x32_arr[tx_type];
      const fwd_transform_1d_avx2 row_txfm = row_fwdtxfm_8x32_arr[tx_type];
      int8_t bitcol = fwd_cos_bit_col[txw_idx][txh_idx];
      int8_t bitrow = fwd_cos_bit_row[txw_idx][txh_idx];
      const int32_t txfm_size_col = tx_size_wide[TX_16X32];
      const int32_t txfm_size_row = tx_size_high[TX_16X32];
      const int32_t num_row = txfm_size_row >> 3;
      const int32_t num_col = txfm_size_col >> 3;
  
      // column transform
      load_buffer_16x16(input, in, stride, 0, 0, shift[0]);
      load_buffer_16x16(input + 16 * stride, in + 32, stride, 0, 0, shift[0]);
  
      for (int32_t i = 0; i < num_col; i++) {
          col_txfm((in + i), (in + i), bitcol, num_col);
      }
      col_txfm_16x16_rounding(&in[0], -shift[1]);
      col_txfm_16x16_rounding(&in[32], -shift[1]);
      transpose_8nx8n(in, outcoef256, txfm_size_col, txfm_size_row);
  
      // row transform
      row_txfm(outcoef256, in, bitrow, num_row);
      transpose_8nx8n(in, outcoef256, txfm_size_row, txfm_size_col);
      av1_round_shift_rect_array_32_avx2(outcoef256, outcoef256, 64, -shift[2],
          NewSqrt2);
      (void)bd;
  }
  
  /* call this function only for IDTX */
  void av1_fwd_txfm2d_32x16_avx2(int16_t *input, int32_t *output, uint32_t stride, TxType tx_type, uint8_t  bd)
  {
      __m256i in[64];
      __m256i *outcoef256 = (__m256i *)output;
      const int8_t *shift = fwd_txfm_shift_ls[TX_32X16];
      const int32_t txw_idx = get_txw_idx(TX_32X16);
      const int32_t txh_idx = get_txh_idx(TX_32X16);
      const fwd_transform_1d_avx2 col_txfm = row_fwdtxfm_8x32_arr[tx_type];
      const fwd_transform_1d_avx2 row_txfm = col_fwdtxfm_8x32_arr[tx_type];
      int8_t bitcol = fwd_cos_bit_col[txw_idx][txh_idx];
      int8_t bitrow = fwd_cos_bit_row[txw_idx][txh_idx];
      const int32_t txfm_size_col = tx_size_wide[TX_32X16];
      const int32_t txfm_size_row = tx_size_high[TX_32X16];
      const int32_t num_row = txfm_size_row >> 3;
      const int32_t num_col = txfm_size_col >> 3;
  
      // column transform
      load_buffer_32x8n(input, in, stride, 0, 0, shift[0], txfm_size_row);
      col_txfm(in, in, bitcol, num_col);
      col_txfm_16x16_rounding(&in[0], -shift[1]);
      col_txfm_16x16_rounding(&in[32], -shift[1]);
      transpose_8nx8n(in, outcoef256, txfm_size_col, txfm_size_row);
  
      // row transform
      for (int32_t i = 0; i < num_row; i++) {
          row_txfm((outcoef256 + i), (in + i), bitrow, num_row);
      }
      transpose_8nx8n(in, outcoef256, txfm_size_row, txfm_size_col);
      av1_round_shift_rect_array_32_avx2(outcoef256, outcoef256, 64, -shift[2],
          NewSqrt2);
      (void)bd;
  }
  
  /* call this function only for DCT_DCT, IDTX */
  void av1_fwd_txfm2d_8x32_avx2(int16_t *input, int32_t *output, uint32_t stride, TxType tx_type, uint8_t  bd)
  {
      __m256i in[32];
      __m256i *outcoef256 = (__m256i *)output;
      const int8_t *shift = fwd_txfm_shift_ls[TX_8X32];
      const int32_t txw_idx = get_txw_idx(TX_8X32);
      const int32_t txh_idx = get_txh_idx(TX_8X32);
      const fwd_transform_1d_avx2 col_txfm = col_fwdtxfm_8x32_arr[tx_type];
      const fwd_transform_1d_avx2 row_txfm = row_fwdtxfm_32x8_arr[tx_type];
      int8_t bitcol = fwd_cos_bit_col[txw_idx][txh_idx];
      int8_t bitrow = fwd_cos_bit_row[txw_idx][txh_idx];
  
      const int32_t txfm_size_col = tx_size_wide[TX_8X32];
      const int32_t txfm_size_row = tx_size_high[TX_8X32];
      const int32_t num_row = txfm_size_row >> 3;
      const int32_t num_col = txfm_size_col >> 3;
  
      // column transform
      load_buffer_8x16(input, in, stride, 0, 0, shift[0]);
      load_buffer_8x16(input + (txfm_size_row >> 1) * stride, in + 16,
          stride, 0, 0, shift[0]);
  
      col_txfm(in, in, bitcol, num_col);
      col_txfm_16x16_rounding(in, -shift[1]);
      transpose_8nx8n(in, outcoef256, txfm_size_col, txfm_size_row);
  
      // row transform
      for (int32_t i = 0; i < num_row; i++) {
          row_txfm((outcoef256 + i), (in + i), bitrow, num_row);
      }
      transpose_8nx8n(in, outcoef256, txfm_size_row, txfm_size_col);
      (void)bd;
  }
  
  /* call this function only for DCT_DCT, IDTX */
  void av1_fwd_txfm2d_32x8_avx2(int16_t *input, int32_t *output, uint32_t stride, TxType tx_type, uint8_t  bd)
  {
      __m256i in[32];
      __m256i *outcoef256 = (__m256i *)output;
      const int8_t *shift = fwd_txfm_shift_ls[TX_32X8];
      const int32_t txw_idx = get_txw_idx(TX_32X8);
      const int32_t txh_idx = get_txh_idx(TX_32X8);
      const fwd_transform_1d_avx2 col_txfm = row_fwdtxfm_32x8_arr[tx_type];
      const fwd_transform_1d_avx2 row_txfm = col_fwdtxfm_8x32_arr[tx_type];
      int8_t bitcol = fwd_cos_bit_col[txw_idx][txh_idx];
      int8_t bitrow = fwd_cos_bit_row[txw_idx][txh_idx];
  
      const int32_t txfm_size_col = tx_size_wide[TX_32X8];
      const int32_t txfm_size_row = tx_size_high[TX_32X8];
      const int32_t num_row = txfm_size_row >> 3;
      const int32_t num_col = txfm_size_col >> 3;
  
      // column transform
      load_buffer_32x8n(input, in, stride, 0, 0, shift[0], txfm_size_row);
      for (int32_t i = 0; i < num_col; i++) {
          col_txfm((in + i), (in + i), bitcol, num_col);
      }
  
      col_txfm_16x16_rounding(&in[0], -shift[1]);
      transpose_8nx8n(in, outcoef256, txfm_size_col, txfm_size_row);
  
      // row transform
      row_txfm(outcoef256, in, bitrow, num_row);
  
      transpose_8nx8n(in, outcoef256, txfm_size_row, txfm_size_col);
      (void)bd;
  }
  
  /* call this function for all 16 transform types */
  void av1_fwd_txfm2d_8x16_avx2(int16_t *input, int32_t *output, uint32_t stride, TxType tx_type, uint8_t  bd)
  {
      __m256i in[16], out[16];
      const int8_t *shift = fwd_txfm_shift_ls[TX_8X16];
      const int32_t txw_idx = get_txw_idx(TX_8X16);
      const int32_t txh_idx = get_txh_idx(TX_8X16);
      const fwd_transform_1d_avx2 col_txfm = col_fwdtxfm_8x16_arr[tx_type];
      const fwd_transform_1d_avx2 row_txfm = row_fwdtxfm_8x8_arr[tx_type];
      int8_t bitcol = fwd_cos_bit_col[txw_idx][txh_idx];
      int8_t bitrow = fwd_cos_bit_row[txw_idx][txh_idx];
      int32_t ud_flip, lr_flip;
      get_flip_cfg(tx_type, &ud_flip, &lr_flip);
      const int32_t txfm_size_col = tx_size_wide[TX_8X16];
      const int32_t txfm_size_row = tx_size_high[TX_8X16];
      const int32_t num_row = txfm_size_row >> 3;
      const int32_t num_col = txfm_size_col >> 3;
  
      load_buffer_8x16(input, in, stride, ud_flip, lr_flip, shift[0]);
      // column transform
      col_txfm(in, in, bitcol, num_col);
      col_txfm_8x16_rounding(in, -shift[1]);
      transpose_8x8_avx2(in, out);
      transpose_8x8_avx2(in + 8, out + 8);
  
      // row transform
      for (int32_t i = 0; i < num_row; i++) {
          row_txfm(out + i * 8, out, bitrow, 1);
          transpose_8x8_avx2(out, in);
          av1_round_shift_rect_array_32_avx2(in, in, 8, -shift[2], NewSqrt2);
          write_buffer_8x8(in, output + i * 64);
      }
      (void)bd;
  }
  
  /* call this function for all 16 transform types */
  void av1_fwd_txfm2d_16x8_avx2(int16_t *input, int32_t *output, uint32_t stride, TxType tx_type, uint8_t  bd)
  {
      __m256i in[16], out[16]={0};
      const int8_t *shift = fwd_txfm_shift_ls[TX_16X8];
      const int32_t txw_idx = get_txw_idx(TX_16X8);
      const int32_t txh_idx = get_txh_idx(TX_16X8);
      const fwd_transform_1d_avx2 col_txfm = col_fwdtxfm_8x8_arr[tx_type];
      const fwd_transform_1d_avx2 row_txfm = row_fwdtxfm_8x16_arr[tx_type];
      int8_t bitcol = fwd_cos_bit_col[txw_idx][txh_idx];
      int8_t bitrow = fwd_cos_bit_row[txw_idx][txh_idx];
      int32_t ud_flip, lr_flip;
      get_flip_cfg(tx_type, &ud_flip, &lr_flip);
      const int32_t txfm_size_col = tx_size_wide[TX_16X8];
      const int32_t txfm_size_row = tx_size_high[TX_16X8];
      const int32_t num_row = txfm_size_row >> 3;
      const int32_t num_col = txfm_size_col >> 3;
  
      // column transform
      for (int32_t i = 0; i < num_col; i++) {
          load_buffer_8x8(input + i * 8, in, stride, ud_flip, 0, shift[0]);
          col_txfm(in, in, bitcol, 1);
          col_txfm_8x8_rounding(in, -shift[1]);
          transpose_8x8_avx2(in, out + i * 8);
      }
  
      // row transform
      if (lr_flip) {
          for (int32_t i = 0; i < 16; i++)
              in[16 - i - 1] = out[i];
          row_txfm(in, out, bitrow, num_row);
      }
      else
          row_txfm(out, out, bitrow, num_row);
  
      for (int32_t i = 0; i < num_col; i++) {
          transpose_8x8_avx2(out + i * 8, in);
          av1_round_shift_rect_array_32_avx2(in, in, 8, -shift[2], NewSqrt2);
          write_buffer_16x8_avx2(in, output + i * 8, 16);
      }
      (void)bd;
  }
  
  void av1_fwd_txfm2d_4x8_avx2(int16_t *input, int32_t *output, uint32_t stride,
      TxType tx_type, uint8_t  bd)
  {
      __m256i in[4];
      __m256i outcoeff256[4];
  
      const int8_t *shift = fwd_txfm_shift_ls[TX_4X8];
      const int32_t txw_idx = get_txw_idx(TX_4X8);
      const int32_t txh_idx = get_txh_idx(TX_4X8);
      int32_t bitcol = fwd_cos_bit_col[txw_idx][txh_idx];
      int32_t bitrow = fwd_cos_bit_row[txw_idx][txh_idx];
  
      switch (tx_type) {
      case DCT_DCT:
          load_buffer_4x8_avx2(input, in, stride, 0, 0, shift[0]);
          fdct4x8_avx2(in, in, bitcol);
          col_txfm_8x4_rounding(in, -shift[1]);
          transpose_4x8_avx2(in, outcoeff256);
          fdct4x8_col_avx2(outcoeff256, in, bitrow, 1);
          av1_round_shift_rect_array_32_avx2(in, outcoeff256, 4, -shift[2], NewSqrt2);
          write_buffer_4x8(outcoeff256, output);
          break;
      case ADST_DCT:
          load_buffer_4x8_avx2(input, in, stride, 0, 0, shift[0]);
          fadst8x4_avx2(in, in, bitcol, 1);
          col_txfm_8x4_rounding(in, -shift[1]);
          transpose_4x8_avx2(in, outcoeff256);
          fdct4x8_col_avx2(outcoeff256, in, bitrow, 1);
          av1_round_shift_rect_array_32_avx2(in, outcoeff256, 4, -shift[2], NewSqrt2);
          write_buffer_4x8(outcoeff256, output);
          break;
      case DCT_ADST:
          load_buffer_4x8_avx2(input, in, stride, 0, 0, shift[0]);
          fdct4x8_avx2(in, in, bitcol);
          col_txfm_8x4_rounding(in, -shift[1]);
          transpose_4x8_avx2(in, outcoeff256);
          fadst4x8_col_avx2(outcoeff256, in, bitrow, 1);
          av1_round_shift_rect_array_32_avx2(in, outcoeff256, 4, -shift[2], NewSqrt2);
          write_buffer_4x8(outcoeff256, output);
          break;
      case ADST_ADST:
          load_buffer_4x8_avx2(input, in, stride, 0, 0, shift[0]);
          fadst8x4_avx2(in, in, bitcol, 1);
          col_txfm_8x4_rounding(in, -shift[1]);
          transpose_4x8_avx2(in, outcoeff256);
          fadst4x8_col_avx2(outcoeff256, in, bitrow, 1);
          av1_round_shift_rect_array_32_avx2(in, outcoeff256, 4, -shift[2], NewSqrt2);
          write_buffer_4x8(outcoeff256, output);
          break;
      case FLIPADST_DCT:
          load_buffer_4x8_avx2(input, in, stride, 1, 0, shift[0]);
          fadst8x4_avx2(in, in, bitcol, 1);
          col_txfm_8x4_rounding(in, -shift[1]);
          transpose_4x8_avx2(in, outcoeff256);
          fdct4x8_col_avx2(outcoeff256, in, bitrow, 1);
          av1_round_shift_rect_array_32_avx2(in, outcoeff256, 4, -shift[2], NewSqrt2);
          write_buffer_4x8(outcoeff256, output);
          break;
      case DCT_FLIPADST:
          load_buffer_4x8_avx2(input, in, stride, 0, 1, shift[0]);
          fdct4x8_avx2(in, in, bitcol);
          col_txfm_8x4_rounding(in, -shift[1]);
          transpose_4x8_avx2(in, outcoeff256);
          fadst4x8_col_avx2(outcoeff256, in, bitrow, 1);
          av1_round_shift_rect_array_32_avx2(in, outcoeff256, 4, -shift[2], NewSqrt2);
          write_buffer_4x8(outcoeff256, output);
          break;
      case FLIPADST_FLIPADST:
          load_buffer_4x8_avx2(input, in, stride, 1, 1, shift[0]);
          fadst8x4_avx2(in, in, bitcol, 1);
          col_txfm_8x4_rounding(in, -shift[1]);
          transpose_4x8_avx2(in, outcoeff256);
          fadst4x8_col_avx2(outcoeff256, in, bitrow, 1);
          av1_round_shift_rect_array_32_avx2(in, outcoeff256, 4, -shift[2], NewSqrt2);
          write_buffer_4x8(outcoeff256, output);
          break;
      case ADST_FLIPADST:
          load_buffer_4x8_avx2(input, in, stride, 0, 1, shift[0]);
          fadst8x4_avx2(in, in, bitcol, 1);
          col_txfm_8x4_rounding(in, -shift[1]);
          transpose_4x8_avx2(in, outcoeff256);
          fadst4x8_col_avx2(outcoeff256, in, bitrow, 1);
          av1_round_shift_rect_array_32_avx2(in, outcoeff256, 4, -shift[2], NewSqrt2);
          write_buffer_4x8(outcoeff256, output);
          break;
      case FLIPADST_ADST:
          load_buffer_4x8_avx2(input, in, stride, 1, 0, shift[0]);
          fadst8x4_avx2(in, in, bitcol, 1);
          col_txfm_8x4_rounding(in, -shift[1]);
          transpose_4x8_avx2(in, outcoeff256);
          fadst4x8_col_avx2(outcoeff256, in, bitrow, 1);
          av1_round_shift_rect_array_32_avx2(in, outcoeff256, 4, -shift[2], NewSqrt2);
          write_buffer_4x8(outcoeff256, output);
          break;
      case IDTX:
          load_buffer_4x8_avx2(input, in, stride, 0, 0, shift[0]);
          fidtx8x4_avx2(in, in, bitcol);
          col_txfm_8x4_rounding(in, -shift[1]);
          transpose_4x8_avx2(in, outcoeff256);
          fidtx4x8_col_avx2(outcoeff256, in, bitrow, 1);
          av1_round_shift_rect_array_32_avx2(in, outcoeff256, 4, -shift[2], NewSqrt2);
          write_buffer_4x8(outcoeff256, output);
          break;
      case V_DCT:
          load_buffer_4x8_avx2(input, in, stride, 0, 0, shift[0]);
          fdct4x8_avx2(in, in, bitcol);
          col_txfm_8x4_rounding(in, -shift[1]);
          transpose_4x8_avx2(in, outcoeff256);
          fidtx4x8_col_avx2(outcoeff256, in, bitrow, 1);
          av1_round_shift_rect_array_32_avx2(in, outcoeff256, 4, -shift[2], NewSqrt2);
          write_buffer_4x8(outcoeff256, output);
          break;
      case H_DCT:
          load_buffer_4x8_avx2(input, in, stride, 0, 0, shift[0]);
          fidtx8x4_avx2(in, in, bitcol);
          col_txfm_8x4_rounding(in, -shift[1]);
          transpose_4x8_avx2(in, outcoeff256);
          fdct4x8_col_avx2(outcoeff256, in, bitrow, 1);
          av1_round_shift_rect_array_32_avx2(in, outcoeff256, 4, -shift[2], NewSqrt2);
          write_buffer_4x8(outcoeff256, output);
          break;
      case V_ADST:
          load_buffer_4x8_avx2(input, in, stride, 0, 0, shift[0]);
          fadst8x4_avx2(in, in, bitcol, 1);
          col_txfm_8x4_rounding(in, -shift[1]);
          transpose_4x8_avx2(in, outcoeff256);
          fidtx4x8_col_avx2(outcoeff256, in, bitrow, 1);
          av1_round_shift_rect_array_32_avx2(in, outcoeff256, 4, -shift[2], NewSqrt2);
          write_buffer_4x8(outcoeff256, output);
          break;
      case H_ADST:
          load_buffer_4x8_avx2(input, in, stride, 0, 0, shift[0]);
          fidtx8x4_avx2(in, in, bitcol);
          col_txfm_8x4_rounding(in, -shift[1]);
          transpose_4x8_avx2(in, outcoeff256);
          fadst4x8_col_avx2(outcoeff256, in, bitrow, 1);
          av1_round_shift_rect_array_32_avx2(in, outcoeff256, 4, -shift[2], NewSqrt2);
          write_buffer_4x8(outcoeff256, output);
          break;
      case V_FLIPADST:
          load_buffer_4x8_avx2(input, in, stride, 1, 0, shift[0]);
          fadst8x4_avx2(in, in, bitcol, 1);
          col_txfm_8x4_rounding(in, -shift[1]);
          transpose_4x8_avx2(in, outcoeff256);
          fidtx4x8_col_avx2(outcoeff256, in, bitrow, 1);
          av1_round_shift_rect_array_32_avx2(in, outcoeff256, 4, -shift[2], NewSqrt2);
          write_buffer_4x8(outcoeff256, output);
          break;
      case H_FLIPADST:
          load_buffer_4x8_avx2(input, in, stride, 0, 1, shift[0]);
          fidtx8x4_avx2(in, in, bitcol);
          col_txfm_8x4_rounding(in, -shift[1]);
          transpose_4x8_avx2(in, outcoeff256);
          fadst4x8_col_avx2(outcoeff256, in, bitrow, 1);
          av1_round_shift_rect_array_32_avx2(in, outcoeff256, 4, -shift[2], NewSqrt2);
          write_buffer_4x8(outcoeff256, output);
          break;
      default: assert(0);
      }
      (void)bd;
  }
  
  void av1_fwd_txfm2d_8x4_avx2(int16_t *input, int32_t *output, uint32_t stride,
      TxType tx_type, uint8_t  bd)
  {
      __m256i in[4];
      __m256i *outcoeff256 = (__m256i *)output;
      const int8_t *shift = fwd_txfm_shift_ls[TX_8X4];
      const int32_t txw_idx = get_txw_idx(TX_8X4);
      const int32_t txh_idx = get_txh_idx(TX_8X4);
      int32_t bitcol = fwd_cos_bit_col[txw_idx][txh_idx];
      int32_t bitrow = fwd_cos_bit_row[txw_idx][txh_idx];
  
  
      switch (tx_type) {
      case DCT_DCT:
          load_buffer_8x4_avx2(input, in, stride, 0, 0, shift[0]);
          fdct4x8_row_avx2(in, in, bitcol, 1);
          col_txfm_8x4_rounding(in, -shift[1]);
          fdct4x8_avx2(in, outcoeff256, bitrow);
          av1_round_shift_rect_array_32_avx2(outcoeff256, in, 4, -shift[2],
              NewSqrt2);
          transpose_4x8_avx2(in, outcoeff256);
          break;
      case ADST_DCT:
          load_buffer_8x4_avx2(input, in, stride, 0, 0, shift[0]);
          fadst4x8_row_avx2(in, in, bitcol, 1);
          col_txfm_8x4_rounding(in, -shift[1]);
          fdct4x8_avx2(in, outcoeff256, bitrow);
          av1_round_shift_rect_array_32_avx2(outcoeff256, in, 4, -shift[2],
              NewSqrt2);
          transpose_4x8_avx2(in, outcoeff256);
          break;
      case DCT_ADST:
          load_buffer_8x4_avx2(input, in, stride, 0, 0, shift[0]);
          fdct4x8_row_avx2(in, in, bitcol, 1);
          col_txfm_8x4_rounding(in, -shift[1]);
          fadst8x4_avx2(in, outcoeff256, bitrow, 1);
          av1_round_shift_rect_array_32_avx2(outcoeff256, in, 4, -shift[2],
              NewSqrt2);
          transpose_4x8_avx2(in, outcoeff256);
          break;
      case ADST_ADST:
          load_buffer_8x4_avx2(input, in, stride, 0, 0, shift[0]);
          fadst4x8_row_avx2(in, in, bitcol, 1);
          col_txfm_8x4_rounding(in, -shift[1]);
          fadst8x4_avx2(in, outcoeff256, bitrow, 1);
          av1_round_shift_rect_array_32_avx2(outcoeff256, in, 4, -shift[2],
              NewSqrt2);
          transpose_4x8_avx2(in, outcoeff256);
          break;
      case FLIPADST_DCT:
          load_buffer_8x4_avx2(input, in, stride, 1, 0, shift[0]);
          fadst4x8_row_avx2(in, in, bitcol, 1);
          col_txfm_8x4_rounding(in, -shift[1]);
          fdct4x8_avx2(in, outcoeff256, bitrow);
          av1_round_shift_rect_array_32_avx2(outcoeff256, in, 4, -shift[2],
              NewSqrt2);
          transpose_4x8_avx2(in, outcoeff256);
          break;
      case DCT_FLIPADST:
          load_buffer_8x4_avx2(input, in, stride, 0, 1, shift[0]);
          fdct4x8_row_avx2(in, in, bitcol, 1);
          col_txfm_8x4_rounding(in, -shift[1]);
          fadst8x4_avx2(in, outcoeff256, bitrow, 1);
          av1_round_shift_rect_array_32_avx2(outcoeff256, in, 4, -shift[2],
              NewSqrt2);
          transpose_4x8_avx2(in, outcoeff256);
          break;
      case FLIPADST_FLIPADST:
          load_buffer_8x4_avx2(input, in, stride, 1, 1, shift[0]);
          fadst4x8_row_avx2(in, in, bitcol, 1);
          col_txfm_8x4_rounding(in, -shift[1]);
          fadst8x4_avx2(in, outcoeff256, bitrow, 1);
          av1_round_shift_rect_array_32_avx2(outcoeff256, in, 4, -shift[2],
              NewSqrt2);
          transpose_4x8_avx2(in, outcoeff256);
          break;
      case ADST_FLIPADST:
          load_buffer_8x4_avx2(input, in, stride, 0, 1, shift[0]);
          fadst4x8_row_avx2(in, in, bitcol, 1);
          col_txfm_8x4_rounding(in, -shift[1]);
          fadst8x4_avx2(in, outcoeff256, bitrow, 1);
          av1_round_shift_rect_array_32_avx2(outcoeff256, in, 4, -shift[2],
              NewSqrt2);
          transpose_4x8_avx2(in, outcoeff256);
          break;
      case FLIPADST_ADST:
          load_buffer_8x4_avx2(input, in, stride, 1, 0, shift[0]);
          fadst4x8_row_avx2(in, in, bitcol, 1);
          col_txfm_8x4_rounding(in, -shift[1]);
          fadst8x4_avx2(in, outcoeff256, bitrow, 1);
          av1_round_shift_rect_array_32_avx2(outcoeff256, in, 4, -shift[2],
              NewSqrt2);
          transpose_4x8_avx2(in, outcoeff256);
          break;
      case IDTX:
          load_buffer_8x4_avx2(input, in, stride, 0, 0, shift[0]);
          fidtx4x8_row_avx2(in, in, bitcol, 1);
          col_txfm_8x4_rounding(in, -shift[1]);
          fidtx8x4_avx2(in, outcoeff256, bitrow);
          av1_round_shift_rect_array_32_avx2(outcoeff256, in, 4, -shift[2],
              NewSqrt2);
          transpose_4x8_avx2(in, outcoeff256);
          break;
      case V_DCT:
          load_buffer_8x4_avx2(input, in, stride, 0, 0, shift[0]);
          fdct4x8_row_avx2(in, in, bitcol, 1);
          col_txfm_8x4_rounding(in, -shift[1]);
          fidtx8x4_avx2(in, outcoeff256, bitrow);
          av1_round_shift_rect_array_32_avx2(outcoeff256, in, 4, -shift[2],
              NewSqrt2);
          transpose_4x8_avx2(in, outcoeff256);
          break;
      case H_DCT:
          load_buffer_8x4_avx2(input, in, stride, 0, 0, shift[0]);
          fidtx4x8_row_avx2(in, in, bitcol, 1);
          col_txfm_8x4_rounding(in, -shift[1]);
          fdct4x8_avx2(in, outcoeff256, bitrow);
          av1_round_shift_rect_array_32_avx2(outcoeff256, in, 4, -shift[2],
              NewSqrt2);
          transpose_4x8_avx2(in, outcoeff256);
          break;
      case V_ADST:
          load_buffer_8x4_avx2(input, in, stride, 0, 0, shift[0]);
          fadst4x8_row_avx2(in, in, bitcol, 1);
          col_txfm_8x4_rounding(in, -shift[1]);
          fidtx8x4_avx2(in, outcoeff256, bitrow);
          av1_round_shift_rect_array_32_avx2(outcoeff256, in, 4, -shift[2],
              NewSqrt2);
          transpose_4x8_avx2(in, outcoeff256);
          break;
      case H_ADST:
          load_buffer_8x4_avx2(input, in, stride, 0, 0, shift[0]);
          fidtx4x8_row_avx2(in, in, bitcol, 1);
          col_txfm_8x4_rounding(in, -shift[1]);
          fadst8x4_avx2(in, outcoeff256, bitrow, 1);
          av1_round_shift_rect_array_32_avx2(outcoeff256, in, 4, -shift[2],
              NewSqrt2);
          transpose_4x8_avx2(in, outcoeff256);
          break;
      case V_FLIPADST:
          load_buffer_8x4_avx2(input, in, stride, 1, 0, shift[0]);
          fadst4x8_row_avx2(in, in, bitcol, 1);
          col_txfm_8x4_rounding(in, -shift[1]);
          fidtx8x4_avx2(in, outcoeff256, bitrow);
          av1_round_shift_rect_array_32_avx2(outcoeff256, in, 4, -shift[2],
              NewSqrt2);
          transpose_4x8_avx2(in, outcoeff256);
          break;
      case H_FLIPADST:
          load_buffer_8x4_avx2(input, in, stride, 0, 1, shift[0]);
          fidtx4x8_row_avx2(in, in, bitcol, 1);
          col_txfm_8x4_rounding(in, -shift[1]);
          fadst8x4_avx2(in, outcoeff256, bitrow, 1);
          av1_round_shift_rect_array_32_avx2(outcoeff256, in, 4, -shift[2],
              NewSqrt2);
          transpose_4x8_avx2(in, outcoeff256);
          break;
      default: assert(0);
      }
      (void)bd;
  }
  
  void av1_fwd_txfm2d_4x16_avx2(int16_t *input, int32_t *output, uint32_t stride,
      TxType tx_type, uint8_t  bd)
  {
      __m256i in[8];
      __m256i outcoeff256[8];
      const int8_t *shift = fwd_txfm_shift_ls[TX_4X16];
      const int32_t txw_idx = get_txw_idx(TX_4X16);
      const int32_t txh_idx = get_txh_idx(TX_4X16);
      int32_t bitcol = fwd_cos_bit_col[txw_idx][txh_idx];
      int32_t bitrow = fwd_cos_bit_row[txw_idx][txh_idx];
  
      switch (tx_type) {
      case DCT_DCT:
          load_buffer_4x16_avx2(input, in, stride, 0, 0, shift[0]);
          fdct16x4_avx2(in, outcoeff256, bitcol);
          col_txfm_8x8_rounding(outcoeff256, -shift[1]);
          transpose_4x16_avx2(outcoeff256, in);
          for (int32_t i = 0; i < 2; i++) {
              fdct4x8_col_avx2(in + i, outcoeff256 + i * 4, bitrow, 2);
          }
          write_buffer_8x8(outcoeff256, output);
          break;
      case ADST_DCT:
          load_buffer_4x16_avx2(input, in, stride, 0, 0, shift[0]);
          fadst16x4_avx2(in, outcoeff256, bitcol);
          col_txfm_8x8_rounding(outcoeff256, -shift[1]);
          transpose_4x16_avx2(outcoeff256, in);
          for (int32_t i = 0; i < 2; i++) {
              fdct4x8_col_avx2(in + i, outcoeff256 + i * 4, bitrow, 2);
          }
          write_buffer_8x8(outcoeff256, output);
          break;
      case DCT_ADST:
          load_buffer_4x16_avx2(input, in, stride, 0, 0, shift[0]);
          fdct16x4_avx2(in, outcoeff256, bitcol);
          col_txfm_8x8_rounding(outcoeff256, -shift[1]);
          transpose_4x16_avx2(outcoeff256, in);
          for (int32_t i = 0; i < 2; i++) {
              fadst4x8_col_avx2(in + i, outcoeff256 + i * 4, bitrow, 2);
          }
          write_buffer_8x8(outcoeff256, output);
          break;
      case ADST_ADST:
          load_buffer_4x16_avx2(input, in, stride, 0, 0, shift[0]);
          fadst16x4_avx2(in, outcoeff256, bitcol);
          col_txfm_8x8_rounding(outcoeff256, -shift[1]);
          transpose_4x16_avx2(outcoeff256, in);
          for (int32_t i = 0; i < 2; i++) {
              fadst4x8_col_avx2(in + i, outcoeff256 + i * 4, bitrow, 2);
          }
          write_buffer_8x8(outcoeff256, output);
          break;
      case FLIPADST_DCT:
          load_buffer_4x16_avx2(input, in, stride, 1, 0, shift[0]);
          fadst16x4_avx2(in, outcoeff256, bitcol);
          col_txfm_8x8_rounding(outcoeff256, -shift[1]);
          transpose_4x16_avx2(outcoeff256, in);
          for (int32_t i = 0; i < 2; i++) {
              fdct4x8_col_avx2(in + i, outcoeff256 + i * 4, bitrow, 2);
          }
          write_buffer_8x8(outcoeff256, output);
          break;
      case DCT_FLIPADST:
          load_buffer_4x16_avx2(input, in, stride, 0, 1, shift[0]);
          fdct16x4_avx2(in, outcoeff256, bitcol);
          col_txfm_8x8_rounding(outcoeff256, -shift[1]);
          transpose_4x16_avx2(outcoeff256, in);
          for (int32_t i = 0; i < 2; i++) {
              fadst4x8_col_avx2(in + i, outcoeff256 + i * 4, bitrow, 2);
          }
          write_buffer_8x8(outcoeff256, output);
          break;
      case FLIPADST_FLIPADST:
          load_buffer_4x16_avx2(input, in, stride, 1, 1, shift[0]);
          fadst16x4_avx2(in, outcoeff256, bitcol);
          col_txfm_8x8_rounding(outcoeff256, -shift[1]);
          transpose_4x16_avx2(outcoeff256, in);
          for (int32_t i = 0; i < 2; i++) {
              fadst4x8_col_avx2(in + i, outcoeff256 + i * 4, bitrow, 2);
          }
          write_buffer_8x8(outcoeff256, output);
          break;
      case ADST_FLIPADST:
          load_buffer_4x16_avx2(input, in, stride, 0, 1, shift[0]);
          fadst16x4_avx2(in, outcoeff256, bitcol);
          col_txfm_8x8_rounding(outcoeff256, -shift[1]);
          transpose_4x16_avx2(outcoeff256, in);
          for (int32_t i = 0; i < 2; i++) {
              fadst4x8_col_avx2(in + i, outcoeff256 + i * 4, bitrow, 2);
          }
          write_buffer_8x8(outcoeff256, output);
          break;
      case FLIPADST_ADST:
          load_buffer_4x16_avx2(input, in, stride, 1, 0, shift[0]);
          fadst16x4_avx2(in, outcoeff256, bitcol);
          col_txfm_8x8_rounding(outcoeff256, -shift[1]);
          transpose_4x16_avx2(outcoeff256, in);
          for (int32_t i = 0; i < 2; i++) {
              fadst4x8_col_avx2(in + i, outcoeff256 + i * 4, bitrow, 2);
          }
          write_buffer_8x8(outcoeff256, output);
          break;
      case IDTX:
          load_buffer_4x16_avx2(input, in, stride, 0, 0, shift[0]);
          fidtx16x8_avx2(in, outcoeff256, bitcol, 1);
          col_txfm_8x8_rounding(outcoeff256, -shift[1]);
          transpose_4x16_avx2(outcoeff256, in);
          for (int32_t i = 0; i < 2; i++) {
              fidtx4x8_col_avx2(in + i, outcoeff256 + i * 4, bitrow, 2);
          }
          write_buffer_8x8(outcoeff256, output);
          break;
      case V_DCT:
          load_buffer_4x16_avx2(input, in, stride, 0, 0, shift[0]);
          fdct16x4_avx2(in, outcoeff256, bitcol);
          col_txfm_8x8_rounding(outcoeff256, -shift[1]);
          transpose_4x16_avx2(outcoeff256, in);
          for (int32_t i = 0; i < 2; i++) {
              fidtx4x8_col_avx2(in + i, outcoeff256 + i * 4, bitrow, 2);
          }
          write_buffer_8x8(outcoeff256, output);
          break;
      case H_DCT:
          load_buffer_4x16_avx2(input, in, stride, 0, 0, shift[0]);
          fidtx16x8_avx2(in, outcoeff256, bitcol, 1);
          col_txfm_8x8_rounding(outcoeff256, -shift[1]);
          transpose_4x16_avx2(outcoeff256, in);
          for (int32_t i = 0; i < 2; i++) {
              fdct4x8_col_avx2(in + i, outcoeff256 + i * 4, bitrow, 2);
          }
          write_buffer_8x8(outcoeff256, output);
          break;
      case V_ADST:
          load_buffer_4x16_avx2(input, in, stride, 0, 0, shift[0]);
          fadst16x4_avx2(in, outcoeff256, bitcol);
          col_txfm_8x8_rounding(outcoeff256, -shift[1]);
          transpose_4x16_avx2(outcoeff256, in);
          for (int32_t i = 0; i < 2; i++) {
              fidtx4x8_col_avx2(in + i, outcoeff256 + i * 4, bitrow, 2);
          }
          write_buffer_8x8(outcoeff256, output);
          break;
      case H_ADST:
          load_buffer_4x16_avx2(input, in, stride, 0, 0, shift[0]);
          fidtx16x8_avx2(in, outcoeff256, bitcol, 1);
          col_txfm_8x8_rounding(outcoeff256, -shift[1]);
          transpose_4x16_avx2(outcoeff256, in);
          for (int32_t i = 0; i < 2; i++) {
              fadst4x8_col_avx2(in + i, outcoeff256 + i * 4, bitrow, 2);
          }
          write_buffer_8x8(outcoeff256, output);
          break;
      case V_FLIPADST:
          load_buffer_4x16_avx2(input, in, stride, 1, 0, shift[0]);
          fadst16x4_avx2(in, outcoeff256, bitcol);
          col_txfm_8x8_rounding(outcoeff256, -shift[1]);
          transpose_4x16_avx2(outcoeff256, in);
          for (int32_t i = 0; i < 2; i++) {
              fidtx4x8_col_avx2(in + i, outcoeff256 + i * 4, bitrow, 2);
          }
          write_buffer_8x8(outcoeff256, output);
          break;
      case H_FLIPADST:
          load_buffer_4x16_avx2(input, in, stride, 0, 1, shift[0]);
          fidtx16x8_avx2(in, outcoeff256, bitcol, 1);
          col_txfm_8x8_rounding(outcoeff256, -shift[1]);
          transpose_4x16_avx2(outcoeff256, in);
          for (int32_t i = 0; i < 2; i++) {
              fadst4x8_col_avx2(in + i, outcoeff256 + i * 4, bitrow, 2);
          }
          write_buffer_8x8(outcoeff256, output);
          break;
      default: assert(0);
      }
      (void)bd;
  }
  
  void av1_fwd_txfm2d_16x4_avx2(int16_t *input, int32_t *output, uint32_t stride,
      TxType tx_type, uint8_t  bd) {
      __m256i in[8];
      __m256i *outcoeff256 = (__m256i *)output;
      const int8_t *shift = fwd_shift_16x4;
      const int32_t txw_idx = get_txw_idx(TX_16X4);
      const int32_t txh_idx = get_txh_idx(TX_16X4);
      int32_t bitcol = fwd_cos_bit_col[txw_idx][txh_idx];
      int32_t bitrow = fwd_cos_bit_row[txw_idx][txh_idx];
  
      switch (tx_type) {
      case DCT_DCT:
          load_buffer_16x4_avx2(input, in, stride, 0, 0, shift[0]);
          for (int32_t i = 0; i < 2; i++) {
              fdct4x8_row_avx2(in + i * 4, outcoeff256 + i * 4, bitcol, 1);
          }
          col_txfm_8x8_rounding(outcoeff256, -shift[1]);
          fdct16x4_avx2(outcoeff256, in, bitrow);
          transpose_4x16_avx2(in, outcoeff256);
          break;
      case ADST_DCT:
          load_buffer_16x4_avx2(input, in, stride, 0, 0, shift[0]);
          for (int32_t i = 0; i < 2; i++) {
              fadst4x8_row_avx2(in + i * 4, outcoeff256 + i * 4, bitcol, 1);
          }
          col_txfm_8x8_rounding(outcoeff256, -shift[1]);
          fdct16x4_avx2(outcoeff256, in, bitrow);
          transpose_4x16_avx2(in, outcoeff256);
          break;
      case DCT_ADST:
          load_buffer_16x4_avx2(input, in, stride, 0, 0, shift[0]);
          for (int32_t i = 0; i < 2; i++) {
              fdct4x8_row_avx2(in + i * 4, outcoeff256 + i * 4, bitcol, 1);
          }
          col_txfm_8x8_rounding(outcoeff256, -shift[1]);
          fadst16x4_avx2(outcoeff256, in, bitrow);
          transpose_4x16_avx2(in, outcoeff256);
          break;
      case ADST_ADST:
          load_buffer_16x4_avx2(input, in, stride, 0, 0, shift[0]);
          for (int32_t i = 0; i < 2; i++) {
              fadst4x8_row_avx2(in + i * 4, outcoeff256 + i * 4, bitcol, 1);
          }
          col_txfm_8x8_rounding(outcoeff256, -shift[1]);
          fadst16x4_avx2(outcoeff256, in, bitrow);
          transpose_4x16_avx2(in, outcoeff256);
          break;
      case FLIPADST_DCT:
          load_buffer_16x4_avx2(input, in, stride, 1, 0, shift[0]);
          for (int32_t i = 0; i < 2; i++) {
              fadst4x8_row_avx2(in + i * 4, outcoeff256 + i * 4, bitcol, 1);
          }
          col_txfm_8x8_rounding(outcoeff256, -shift[1]);
          fdct16x4_avx2(outcoeff256, in, bitrow);
          transpose_4x16_avx2(in, outcoeff256);
          break;
      case DCT_FLIPADST:
          load_buffer_16x4_avx2(input, in, stride, 0, 1, shift[0]);
          for (int32_t i = 0; i < 2; i++) {
              fdct4x8_row_avx2(in + i * 4, outcoeff256 + i * 4, bitcol, 1);
          }
          col_txfm_8x8_rounding(outcoeff256, -shift[1]);
          fadst16x4_avx2(outcoeff256, in, bitrow);
          transpose_4x16_avx2(in, outcoeff256);
          break;
      case FLIPADST_FLIPADST:
          load_buffer_16x4_avx2(input, in, stride, 1, 1, shift[0]);
          for (int32_t i = 0; i < 2; i++) {
              fadst4x8_row_avx2(in + i * 4, outcoeff256 + i * 4, bitcol, 1);
          }
          col_txfm_8x8_rounding(outcoeff256, -shift[1]);
          fadst16x4_avx2(outcoeff256, in, bitrow);
          transpose_4x16_avx2(in, outcoeff256);
          break;
      case ADST_FLIPADST:
          load_buffer_16x4_avx2(input, in, stride, 0, 1, shift[0]);
          for (int32_t i = 0; i < 2; i++) {
              fadst4x8_row_avx2(in + i * 4, outcoeff256 + i * 4, bitcol, 1);
          }
          col_txfm_8x8_rounding(outcoeff256, -shift[1]);
          fadst16x4_avx2(outcoeff256, in, bitrow);
          transpose_4x16_avx2(in, outcoeff256);
          break;
      case FLIPADST_ADST:
          load_buffer_16x4_avx2(input, in, stride, 1, 0, shift[0]);
          for (int32_t i = 0; i < 2; i++) {
              fadst4x8_row_avx2(in + i * 4, outcoeff256 + i * 4, bitcol, 1);
          }
          col_txfm_8x8_rounding(outcoeff256, -shift[1]);
          fadst16x4_avx2(outcoeff256, in, bitrow);
          transpose_4x16_avx2(in, outcoeff256);
          break;
      case IDTX:
          load_buffer_16x4_avx2(input, in, stride, 0, 0, shift[0]);
          for (int32_t i = 0; i < 2; i++) {
              fidtx4x8_row_avx2(in + i * 4, outcoeff256 + i * 4, bitcol, 1);
          }
          col_txfm_8x8_rounding(outcoeff256, -shift[1]);
          fidtx16x8_avx2(outcoeff256, in, bitrow, 1);
          transpose_4x16_avx2(in, outcoeff256);
          break;
      case V_DCT:
          load_buffer_16x4_avx2(input, in, stride, 0, 0, shift[0]);
          for (int32_t i = 0; i < 2; i++) {
              fdct4x8_row_avx2(in + i * 4, outcoeff256 + i * 4, bitcol, 1);
          }
          col_txfm_8x8_rounding(outcoeff256, -shift[1]);
          fidtx16x8_avx2(outcoeff256, in, bitrow, 1);
          transpose_4x16_avx2(in, outcoeff256);
          break;
      case H_DCT:
          load_buffer_16x4_avx2(input, in, stride, 0, 0, shift[0]);
          for (int32_t i = 0; i < 2; i++) {
              fidtx4x8_row_avx2(in + i * 4, outcoeff256 + i * 4, bitcol, 1);
          }
          col_txfm_8x8_rounding(outcoeff256, -shift[1]);
          fdct16x4_avx2(outcoeff256, in, bitrow);
          transpose_4x16_avx2(in, outcoeff256);
          break;
      case V_ADST:
          load_buffer_16x4_avx2(input, in, stride, 0, 0, shift[0]);
          for (int32_t i = 0; i < 2; i++) {
              fadst4x8_row_avx2(in + i * 4, outcoeff256 + i * 4, bitcol, 1);
          }
          col_txfm_8x8_rounding(outcoeff256, -shift[1]);
          fidtx16x8_avx2(outcoeff256, in, bitrow, 1);
          transpose_4x16_avx2(in, outcoeff256);
          break;
      case H_ADST:
          load_buffer_16x4_avx2(input, in, stride, 0, 0, shift[0]);
          for (int32_t i = 0; i < 2; i++) {
              fidtx4x8_row_avx2(in + i * 4, outcoeff256 + i * 4, bitcol, 1);
          }
          col_txfm_8x8_rounding(outcoeff256, -shift[1]);
          fadst16x4_avx2(outcoeff256, in, bitrow);
          transpose_4x16_avx2(in, outcoeff256);
          break;
      case V_FLIPADST:
          load_buffer_16x4_avx2(input, in, stride, 1, 0, shift[0]);
          for (int32_t i = 0; i < 2; i++) {
              fadst4x8_row_avx2(in + i * 4, outcoeff256 + i * 4, bitcol, 1);
          }
          col_txfm_8x8_rounding(outcoeff256, -shift[1]);
          fidtx16x8_avx2(outcoeff256, in, bitrow, 1);
          transpose_4x16_avx2(in, outcoeff256);
          break;
      case H_FLIPADST:
          load_buffer_16x4_avx2(input, in, stride, 0, 1, shift[0]);
          for (int32_t i = 0; i < 2; i++) {
              fidtx4x8_row_avx2(in + i * 4, outcoeff256 + i * 4, bitcol, 1);
          }
          col_txfm_8x8_rounding(outcoeff256, -shift[1]);
          fadst16x4_avx2(outcoeff256, in, bitrow);
          transpose_4x16_avx2(in, outcoeff256);
          break;
      default: assert(0);
      }
      (void)bd;
  
  }
  