aom/av1/common/x86/av1_fwd_txfm1d_sse4.c

#include "av1/common/x86/av1_txfm1d_sse4.h"

void av1_fdct32_new_sse4_1(const __m128i *input, __m128i *output,
                           const int8_t *cos_bit, const int8_t *stage_range) {
  const int txfm_size = 32;
  const int num_per_128 = 4;
  const int32_t *cospi;
  __m128i buf0[32];
  __m128i buf1[32];
  int col_num = txfm_size / num_per_128;
  int bit;
  int col;
  (void)stage_range;
  for (col = 0; col < col_num; col++) {
    // stage 0;
    int32_t stage_idx = 0;
    int j;
    for (j = 0; j < 32; ++j) {
      buf0[j] = input[j * col_num + col];
    }

    // stage 1
    stage_idx++;
    buf1[0] = _mm_add_epi32(buf0[0], buf0[31]);
    buf1[31] = _mm_sub_epi32(buf0[0], buf0[31]);
    buf1[1] = _mm_add_epi32(buf0[1], buf0[30]);
    buf1[30] = _mm_sub_epi32(buf0[1], buf0[30]);
    buf1[2] = _mm_add_epi32(buf0[2], buf0[29]);
    buf1[29] = _mm_sub_epi32(buf0[2], buf0[29]);
    buf1[3] = _mm_add_epi32(buf0[3], buf0[28]);
    buf1[28] = _mm_sub_epi32(buf0[3], buf0[28]);
    buf1[4] = _mm_add_epi32(buf0[4], buf0[27]);
    buf1[27] = _mm_sub_epi32(buf0[4], buf0[27]);
    buf1[5] = _mm_add_epi32(buf0[5], buf0[26]);
    buf1[26] = _mm_sub_epi32(buf0[5], buf0[26]);
    buf1[6] = _mm_add_epi32(buf0[6], buf0[25]);
    buf1[25] = _mm_sub_epi32(buf0[6], buf0[25]);
    buf1[7] = _mm_add_epi32(buf0[7], buf0[24]);
    buf1[24] = _mm_sub_epi32(buf0[7], buf0[24]);
    buf1[8] = _mm_add_epi32(buf0[8], buf0[23]);
    buf1[23] = _mm_sub_epi32(buf0[8], buf0[23]);
    buf1[9] = _mm_add_epi32(buf0[9], buf0[22]);
    buf1[22] = _mm_sub_epi32(buf0[9], buf0[22]);
    buf1[10] = _mm_add_epi32(buf0[10], buf0[21]);
    buf1[21] = _mm_sub_epi32(buf0[10], buf0[21]);
    buf1[11] = _mm_add_epi32(buf0[11], buf0[20]);
    buf1[20] = _mm_sub_epi32(buf0[11], buf0[20]);
    buf1[12] = _mm_add_epi32(buf0[12], buf0[19]);
    buf1[19] = _mm_sub_epi32(buf0[12], buf0[19]);
    buf1[13] = _mm_add_epi32(buf0[13], buf0[18]);
    buf1[18] = _mm_sub_epi32(buf0[13], buf0[18]);
    buf1[14] = _mm_add_epi32(buf0[14], buf0[17]);
    buf1[17] = _mm_sub_epi32(buf0[14], buf0[17]);
    buf1[15] = _mm_add_epi32(buf0[15], buf0[16]);
    buf1[16] = _mm_sub_epi32(buf0[15], buf0[16]);

    // stage 2
    stage_idx++;
    bit = cos_bit[stage_idx];
    cospi = cospi_arr(bit);
    buf0[0] = _mm_add_epi32(buf1[0], buf1[15]);
    buf0[15] = _mm_sub_epi32(buf1[0], buf1[15]);
    buf0[1] = _mm_add_epi32(buf1[1], buf1[14]);
    buf0[14] = _mm_sub_epi32(buf1[1], buf1[14]);
    buf0[2] = _mm_add_epi32(buf1[2], buf1[13]);
    buf0[13] = _mm_sub_epi32(buf1[2], buf1[13]);
    buf0[3] = _mm_add_epi32(buf1[3], buf1[12]);
    buf0[12] = _mm_sub_epi32(buf1[3], buf1[12]);
    buf0[4] = _mm_add_epi32(buf1[4], buf1[11]);
    buf0[11] = _mm_sub_epi32(buf1[4], buf1[11]);
    buf0[5] = _mm_add_epi32(buf1[5], buf1[10]);
    buf0[10] = _mm_sub_epi32(buf1[5], buf1[10]);
    buf0[6] = _mm_add_epi32(buf1[6], buf1[9]);
    buf0[9] = _mm_sub_epi32(buf1[6], buf1[9]);
    buf0[7] = _mm_add_epi32(buf1[7], buf1[8]);
    buf0[8] = _mm_sub_epi32(buf1[7], buf1[8]);
    buf0[16] = buf1[16];
    buf0[17] = buf1[17];
    buf0[18] = buf1[18];
    buf0[19] = buf1[19];
    btf_32_sse4_1_type0(-cospi[32], cospi[32], buf1[20], buf1[27], buf0[20],
                        buf0[27], bit);
    btf_32_sse4_1_type0(-cospi[32], cospi[32], buf1[21], buf1[26], buf0[21],
                        buf0[26], bit);
    btf_32_sse4_1_type0(-cospi[32], cospi[32], buf1[22], buf1[25], buf0[22],
                        buf0[25], bit);
    btf_32_sse4_1_type0(-cospi[32], cospi[32], buf1[23], buf1[24], buf0[23],
                        buf0[24], bit);
    buf0[28] = buf1[28];
    buf0[29] = buf1[29];
    buf0[30] = buf1[30];
    buf0[31] = buf1[31];

    // stage 3
    stage_idx++;
    bit = cos_bit[stage_idx];
    cospi = cospi_arr(bit);
    buf1[0] = _mm_add_epi32(buf0[0], buf0[7]);
    buf1[7] = _mm_sub_epi32(buf0[0], buf0[7]);
    buf1[1] = _mm_add_epi32(buf0[1], buf0[6]);
    buf1[6] = _mm_sub_epi32(buf0[1], buf0[6]);
    buf1[2] = _mm_add_epi32(buf0[2], buf0[5]);
    buf1[5] = _mm_sub_epi32(buf0[2], buf0[5]);
    buf1[3] = _mm_add_epi32(buf0[3], buf0[4]);
    buf1[4] = _mm_sub_epi32(buf0[3], buf0[4]);
    buf1[8] = buf0[8];
    buf1[9] = buf0[9];
    btf_32_sse4_1_type0(-cospi[32], cospi[32], buf0[10], buf0[13], buf1[10],
                        buf1[13], bit);
    btf_32_sse4_1_type0(-cospi[32], cospi[32], buf0[11], buf0[12], buf1[11],
                        buf1[12], bit);
    buf1[14] = buf0[14];
    buf1[15] = buf0[15];
    buf1[16] = _mm_add_epi32(buf0[16], buf0[23]);
    buf1[23] = _mm_sub_epi32(buf0[16], buf0[23]);
    buf1[17] = _mm_add_epi32(buf0[17], buf0[22]);
    buf1[22] = _mm_sub_epi32(buf0[17], buf0[22]);
    buf1[18] = _mm_add_epi32(buf0[18], buf0[21]);
    buf1[21] = _mm_sub_epi32(buf0[18], buf0[21]);
    buf1[19] = _mm_add_epi32(buf0[19], buf0[20]);
    buf1[20] = _mm_sub_epi32(buf0[19], buf0[20]);
    buf1[24] = _mm_sub_epi32(buf0[31], buf0[24]);
    buf1[31] = _mm_add_epi32(buf0[31], buf0[24]);
    buf1[25] = _mm_sub_epi32(buf0[30], buf0[25]);
    buf1[30] = _mm_add_epi32(buf0[30], buf0[25]);
    buf1[26] = _mm_sub_epi32(buf0[29], buf0[26]);
    buf1[29] = _mm_add_epi32(buf0[29], buf0[26]);
    buf1[27] = _mm_sub_epi32(buf0[28], buf0[27]);
    buf1[28] = _mm_add_epi32(buf0[28], buf0[27]);

    // stage 4
    stage_idx++;
    bit = cos_bit[stage_idx];
    cospi = cospi_arr(bit);
    buf0[0] = _mm_add_epi32(buf1[0], buf1[3]);
    buf0[3] = _mm_sub_epi32(buf1[0], buf1[3]);
    buf0[1] = _mm_add_epi32(buf1[1], buf1[2]);
    buf0[2] = _mm_sub_epi32(buf1[1], buf1[2]);
    buf0[4] = buf1[4];
    btf_32_sse4_1_type0(-cospi[32], cospi[32], buf1[5], buf1[6], buf0[5],
                        buf0[6], bit);
    buf0[7] = buf1[7];
    buf0[8] = _mm_add_epi32(buf1[8], buf1[11]);
    buf0[11] = _mm_sub_epi32(buf1[8], buf1[11]);
    buf0[9] = _mm_add_epi32(buf1[9], buf1[10]);
    buf0[10] = _mm_sub_epi32(buf1[9], buf1[10]);
    buf0[12] = _mm_sub_epi32(buf1[15], buf1[12]);
    buf0[15] = _mm_add_epi32(buf1[15], buf1[12]);
    buf0[13] = _mm_sub_epi32(buf1[14], buf1[13]);
    buf0[14] = _mm_add_epi32(buf1[14], buf1[13]);
    buf0[16] = buf1[16];
    buf0[17] = buf1[17];
    btf_32_sse4_1_type0(-cospi[16], cospi[48], buf1[18], buf1[29], buf0[18],
                        buf0[29], bit);
    btf_32_sse4_1_type0(-cospi[16], cospi[48], buf1[19], buf1[28], buf0[19],
                        buf0[28], bit);
    btf_32_sse4_1_type0(-cospi[48], -cospi[16], buf1[20], buf1[27], buf0[20],
                        buf0[27], bit);
    btf_32_sse4_1_type0(-cospi[48], -cospi[16], buf1[21], buf1[26], buf0[21],
                        buf0[26], 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
    stage_idx++;
    bit = cos_bit[stage_idx];
    cospi = cospi_arr(bit);
    btf_32_sse4_1_type0(cospi[32], cospi[32], buf0[0], buf0[1], buf1[0],
                        buf1[1], bit);
    btf_32_sse4_1_type1(cospi[48], cospi[16], buf0[2], buf0[3], buf1[2],
                        buf1[3], bit);
    buf1[4] = _mm_add_epi32(buf0[4], buf0[5]);
    buf1[5] = _mm_sub_epi32(buf0[4], buf0[5]);
    buf1[6] = _mm_sub_epi32(buf0[7], buf0[6]);
    buf1[7] = _mm_add_epi32(buf0[7], buf0[6]);
    buf1[8] = buf0[8];
    btf_32_sse4_1_type0(-cospi[16], cospi[48], buf0[9], buf0[14], buf1[9],
                        buf1[14], bit);
    btf_32_sse4_1_type0(-cospi[48], -cospi[16], buf0[10], buf0[13], buf1[10],
                        buf1[13], bit);
    buf1[11] = buf0[11];
    buf1[12] = buf0[12];
    buf1[15] = buf0[15];
    buf1[16] = _mm_add_epi32(buf0[16], buf0[19]);
    buf1[19] = _mm_sub_epi32(buf0[16], buf0[19]);
    buf1[17] = _mm_add_epi32(buf0[17], buf0[18]);
    buf1[18] = _mm_sub_epi32(buf0[17], buf0[18]);
    buf1[20] = _mm_sub_epi32(buf0[23], buf0[20]);
    buf1[23] = _mm_add_epi32(buf0[23], buf0[20]);
    buf1[21] = _mm_sub_epi32(buf0[22], buf0[21]);
    buf1[22] = _mm_add_epi32(buf0[22], buf0[21]);
    buf1[24] = _mm_add_epi32(buf0[24], buf0[27]);
    buf1[27] = _mm_sub_epi32(buf0[24], buf0[27]);
    buf1[25] = _mm_add_epi32(buf0[25], buf0[26]);
    buf1[26] = _mm_sub_epi32(buf0[25], buf0[26]);
    buf1[28] = _mm_sub_epi32(buf0[31], buf0[28]);
    buf1[31] = _mm_add_epi32(buf0[31], buf0[28]);
    buf1[29] = _mm_sub_epi32(buf0[30], buf0[29]);
    buf1[30] = _mm_add_epi32(buf0[30], buf0[29]);

    // stage 6
    stage_idx++;
    bit = cos_bit[stage_idx];
    cospi = cospi_arr(bit);
    buf0[0] = buf1[0];
    buf0[1] = buf1[1];
    buf0[2] = buf1[2];
    buf0[3] = buf1[3];
    btf_32_sse4_1_type1(cospi[56], cospi[8], buf1[4], buf1[7], buf0[4], buf0[7],
                        bit);
    btf_32_sse4_1_type1(cospi[24], cospi[40], buf1[5], buf1[6], buf0[5],
                        buf0[6], bit);
    buf0[8] = _mm_add_epi32(buf1[8], buf1[9]);
    buf0[9] = _mm_sub_epi32(buf1[8], buf1[9]);
    buf0[10] = _mm_sub_epi32(buf1[11], buf1[10]);
    buf0[11] = _mm_add_epi32(buf1[11], buf1[10]);
    buf0[12] = _mm_add_epi32(buf1[12], buf1[13]);
    buf0[13] = _mm_sub_epi32(buf1[12], buf1[13]);
    buf0[14] = _mm_sub_epi32(buf1[15], buf1[14]);
    buf0[15] = _mm_add_epi32(buf1[15], buf1[14]);
    buf0[16] = buf1[16];
    btf_32_sse4_1_type0(-cospi[8], cospi[56], buf1[17], buf1[30], buf0[17],
                        buf0[30], bit);
    btf_32_sse4_1_type0(-cospi[56], -cospi[8], buf1[18], buf1[29], buf0[18],
                        buf0[29], bit);
    buf0[19] = buf1[19];
    buf0[20] = buf1[20];
    btf_32_sse4_1_type0(-cospi[40], cospi[24], buf1[21], buf1[26], buf0[21],
                        buf0[26], bit);
    btf_32_sse4_1_type0(-cospi[24], -cospi[40], buf1[22], buf1[25], buf0[22],
                        buf0[25], bit);
    buf0[23] = buf1[23];
    buf0[24] = buf1[24];
    buf0[27] = buf1[27];
    buf0[28] = buf1[28];
    buf0[31] = buf1[31];

    // stage 7
    stage_idx++;
    bit = cos_bit[stage_idx];
    cospi = cospi_arr(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_sse4_1_type1(cospi[60], cospi[4], buf0[8], buf0[15], buf1[8],
                        buf1[15], bit);
    btf_32_sse4_1_type1(cospi[28], cospi[36], buf0[9], buf0[14], buf1[9],
                        buf1[14], bit);
    btf_32_sse4_1_type1(cospi[44], cospi[20], buf0[10], buf0[13], buf1[10],
                        buf1[13], bit);
    btf_32_sse4_1_type1(cospi[12], cospi[52], buf0[11], buf0[12], buf1[11],
                        buf1[12], bit);
    buf1[16] = _mm_add_epi32(buf0[16], buf0[17]);
    buf1[17] = _mm_sub_epi32(buf0[16], buf0[17]);
    buf1[18] = _mm_sub_epi32(buf0[19], buf0[18]);
    buf1[19] = _mm_add_epi32(buf0[19], buf0[18]);
    buf1[20] = _mm_add_epi32(buf0[20], buf0[21]);
    buf1[21] = _mm_sub_epi32(buf0[20], buf0[21]);
    buf1[22] = _mm_sub_epi32(buf0[23], buf0[22]);
    buf1[23] = _mm_add_epi32(buf0[23], buf0[22]);
    buf1[24] = _mm_add_epi32(buf0[24], buf0[25]);
    buf1[25] = _mm_sub_epi32(buf0[24], buf0[25]);
    buf1[26] = _mm_sub_epi32(buf0[27], buf0[26]);
    buf1[27] = _mm_add_epi32(buf0[27], buf0[26]);
    buf1[28] = _mm_add_epi32(buf0[28], buf0[29]);
    buf1[29] = _mm_sub_epi32(buf0[28], buf0[29]);
    buf1[30] = _mm_sub_epi32(buf0[31], buf0[30]);
    buf1[31] = _mm_add_epi32(buf0[31], buf0[30]);

    // stage 8
    stage_idx++;
    bit = cos_bit[stage_idx];
    cospi = cospi_arr(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_sse4_1_type1(cospi[62], cospi[2], buf1[16], buf1[31], buf0[16],
                        buf0[31], bit);
    btf_32_sse4_1_type1(cospi[30], cospi[34], buf1[17], buf1[30], buf0[17],
                        buf0[30], bit);
    btf_32_sse4_1_type1(cospi[46], cospi[18], buf1[18], buf1[29], buf0[18],
                        buf0[29], bit);
    btf_32_sse4_1_type1(cospi[14], cospi[50], buf1[19], buf1[28], buf0[19],
                        buf0[28], bit);
    btf_32_sse4_1_type1(cospi[54], cospi[10], buf1[20], buf1[27], buf0[20],
                        buf0[27], bit);
    btf_32_sse4_1_type1(cospi[22], cospi[42], buf1[21], buf1[26], buf0[21],
                        buf0[26], bit);
    btf_32_sse4_1_type1(cospi[38], cospi[26], buf1[22], buf1[25], buf0[22],
                        buf0[25], bit);
    btf_32_sse4_1_type1(cospi[6], cospi[58], buf1[23], buf1[24], buf0[23],
                        buf0[24], bit);

    // stage 9
    stage_idx++;
    buf1[0] = buf0[0];
    buf1[1] = buf0[16];
    buf1[2] = buf0[8];
    buf1[3] = buf0[24];
    buf1[4] = buf0[4];
    buf1[5] = buf0[20];
    buf1[6] = buf0[12];
    buf1[7] = buf0[28];
    buf1[8] = buf0[2];
    buf1[9] = buf0[18];
    buf1[10] = buf0[10];
    buf1[11] = buf0[26];
    buf1[12] = buf0[6];
    buf1[13] = buf0[22];
    buf1[14] = buf0[14];
    buf1[15] = buf0[30];
    buf1[16] = buf0[1];
    buf1[17] = buf0[17];
    buf1[18] = buf0[9];
    buf1[19] = buf0[25];
    buf1[20] = buf0[5];
    buf1[21] = buf0[21];
    buf1[22] = buf0[13];
    buf1[23] = buf0[29];
    buf1[24] = buf0[3];
    buf1[25] = buf0[19];
    buf1[26] = buf0[11];
    buf1[27] = buf0[27];
    buf1[28] = buf0[7];
    buf1[29] = buf0[23];
    buf1[30] = buf0[15];
    buf1[31] = buf0[31];

    for (j = 0; j < 32; ++j) {
      output[j * col_num + col] = buf1[j];
    }
  }
}

void av1_fadst4_new_sse4_1(const __m128i *input, __m128i *output,
                           const int8_t *cos_bit, const int8_t *stage_range) {
  const int txfm_size = 4;
  const int num_per_128 = 4;
  const int32_t *cospi;
  __m128i buf0[4];
  __m128i buf1[4];
  int col_num = txfm_size / num_per_128;
  int bit;
  int col;
  (void)stage_range;
  for (col = 0; col < col_num; col++) {
    // stage 0;
    int32_t stage_idx = 0;
    int j;
    for (j = 0; j < 4; ++j) {
      buf0[j] = input[j * col_num + col];
    }

    // stage 1
    stage_idx++;
    buf1[0] = buf0[3];
    buf1[1] = buf0[0];
    buf1[2] = buf0[1];
    buf1[3] = buf0[2];

    // stage 2
    stage_idx++;
    bit = cos_bit[stage_idx];
    cospi = cospi_arr(bit);
    btf_32_sse4_1_type0(cospi[8], cospi[56], buf1[0], buf1[1], buf0[0], buf0[1],
                        bit);
    btf_32_sse4_1_type0(cospi[40], cospi[24], buf1[2], buf1[3], buf0[2],
                        buf0[3], bit);

    // stage 3
    stage_idx++;
    buf1[0] = _mm_add_epi32(buf0[0], buf0[2]);
    buf1[2] = _mm_sub_epi32(buf0[0], buf0[2]);
    buf1[1] = _mm_add_epi32(buf0[1], buf0[3]);
    buf1[3] = _mm_sub_epi32(buf0[1], buf0[3]);

    // stage 4
    stage_idx++;
    bit = cos_bit[stage_idx];
    cospi = cospi_arr(bit);
    buf0[0] = buf1[0];
    buf0[1] = buf1[1];
    btf_32_sse4_1_type0(cospi[32], cospi[32], buf1[2], buf1[3], buf0[2],
                        buf0[3], bit);

    // stage 5
    stage_idx++;
    buf1[0] = buf0[0];
    buf1[1] = _mm_sub_epi32(_mm_set1_epi32(0), buf0[2]);
    buf1[2] = buf0[3];
    buf1[3] = _mm_sub_epi32(_mm_set1_epi32(0), buf0[1]);

    for (j = 0; j < 4; ++j) {
      output[j * col_num + col] = buf1[j];
    }
  }
}

void av1_fadst32_new_sse4_1(const __m128i *input, __m128i *output,
                            const int8_t *cos_bit, const int8_t *stage_range) {
  const int txfm_size = 32;
  const int num_per_128 = 4;
  const int32_t *cospi;
  __m128i buf0[32];
  __m128i buf1[32];
  int col_num = txfm_size / num_per_128;
  int bit;
  int col;
  (void)stage_range;
  for (col = 0; col < col_num; col++) {
    // stage 0;
    int32_t stage_idx = 0;
    int j;
    for (j = 0; j < 32; ++j) {
      buf0[j] = input[j * col_num + col];
    }

    // stage 1
    stage_idx++;
    buf1[0] = buf0[31];
    buf1[1] = buf0[0];
    buf1[2] = buf0[29];
    buf1[3] = buf0[2];
    buf1[4] = buf0[27];
    buf1[5] = buf0[4];
    buf1[6] = buf0[25];
    buf1[7] = buf0[6];
    buf1[8] = buf0[23];
    buf1[9] = buf0[8];
    buf1[10] = buf0[21];
    buf1[11] = buf0[10];
    buf1[12] = buf0[19];
    buf1[13] = buf0[12];
    buf1[14] = buf0[17];
    buf1[15] = buf0[14];
    buf1[16] = buf0[15];
    buf1[17] = buf0[16];
    buf1[18] = buf0[13];
    buf1[19] = buf0[18];
    buf1[20] = buf0[11];
    buf1[21] = buf0[20];
    buf1[22] = buf0[9];
    buf1[23] = buf0[22];
    buf1[24] = buf0[7];
    buf1[25] = buf0[24];
    buf1[26] = buf0[5];
    buf1[27] = buf0[26];
    buf1[28] = buf0[3];
    buf1[29] = buf0[28];
    buf1[30] = buf0[1];
    buf1[31] = buf0[30];

    // stage 2
    stage_idx++;
    bit = cos_bit[stage_idx];
    cospi = cospi_arr(bit);
    btf_32_sse4_1_type0(cospi[1], cospi[63], buf1[0], buf1[1], buf0[0], buf0[1],
                        bit);
    btf_32_sse4_1_type0(cospi[5], cospi[59], buf1[2], buf1[3], buf0[2], buf0[3],
                        bit);
    btf_32_sse4_1_type0(cospi[9], cospi[55], buf1[4], buf1[5], buf0[4], buf0[5],
                        bit);
    btf_32_sse4_1_type0(cospi[13], cospi[51], buf1[6], buf1[7], buf0[6],
                        buf0[7], bit);
    btf_32_sse4_1_type0(cospi[17], cospi[47], buf1[8], buf1[9], buf0[8],
                        buf0[9], bit);
    btf_32_sse4_1_type0(cospi[21], cospi[43], buf1[10], buf1[11], buf0[10],
                        buf0[11], bit);
    btf_32_sse4_1_type0(cospi[25], cospi[39], buf1[12], buf1[13], buf0[12],
                        buf0[13], bit);
    btf_32_sse4_1_type0(cospi[29], cospi[35], buf1[14], buf1[15], buf0[14],
                        buf0[15], bit);
    btf_32_sse4_1_type0(cospi[33], cospi[31], buf1[16], buf1[17], buf0[16],
                        buf0[17], bit);
    btf_32_sse4_1_type0(cospi[37], cospi[27], buf1[18], buf1[19], buf0[18],
                        buf0[19], bit);
    btf_32_sse4_1_type0(cospi[41], cospi[23], buf1[20], buf1[21], buf0[20],
                        buf0[21], bit);
    btf_32_sse4_1_type0(cospi[45], cospi[19], buf1[22], buf1[23], buf0[22],
                        buf0[23], bit);
    btf_32_sse4_1_type0(cospi[49], cospi[15], buf1[24], buf1[25], buf0[24],
                        buf0[25], bit);
    btf_32_sse4_1_type0(cospi[53], cospi[11], buf1[26], buf1[27], buf0[26],
                        buf0[27], bit);
    btf_32_sse4_1_type0(cospi[57], cospi[7], buf1[28], buf1[29], buf0[28],
                        buf0[29], bit);
    btf_32_sse4_1_type0(cospi[61], cospi[3], buf1[30], buf1[31], buf0[30],
                        buf0[31], bit);

    // stage 3
    stage_idx++;
    buf1[0] = _mm_add_epi32(buf0[0], buf0[16]);
    buf1[16] = _mm_sub_epi32(buf0[0], buf0[16]);
    buf1[1] = _mm_add_epi32(buf0[1], buf0[17]);
    buf1[17] = _mm_sub_epi32(buf0[1], buf0[17]);
    buf1[2] = _mm_add_epi32(buf0[2], buf0[18]);
    buf1[18] = _mm_sub_epi32(buf0[2], buf0[18]);
    buf1[3] = _mm_add_epi32(buf0[3], buf0[19]);
    buf1[19] = _mm_sub_epi32(buf0[3], buf0[19]);
    buf1[4] = _mm_add_epi32(buf0[4], buf0[20]);
    buf1[20] = _mm_sub_epi32(buf0[4], buf0[20]);
    buf1[5] = _mm_add_epi32(buf0[5], buf0[21]);
    buf1[21] = _mm_sub_epi32(buf0[5], buf0[21]);
    buf1[6] = _mm_add_epi32(buf0[6], buf0[22]);
    buf1[22] = _mm_sub_epi32(buf0[6], buf0[22]);
    buf1[7] = _mm_add_epi32(buf0[7], buf0[23]);
    buf1[23] = _mm_sub_epi32(buf0[7], buf0[23]);
    buf1[8] = _mm_add_epi32(buf0[8], buf0[24]);
    buf1[24] = _mm_sub_epi32(buf0[8], buf0[24]);
    buf1[9] = _mm_add_epi32(buf0[9], buf0[25]);
    buf1[25] = _mm_sub_epi32(buf0[9], buf0[25]);
    buf1[10] = _mm_add_epi32(buf0[10], buf0[26]);
    buf1[26] = _mm_sub_epi32(buf0[10], buf0[26]);
    buf1[11] = _mm_add_epi32(buf0[11], buf0[27]);
    buf1[27] = _mm_sub_epi32(buf0[11], buf0[27]);
    buf1[12] = _mm_add_epi32(buf0[12], buf0[28]);
    buf1[28] = _mm_sub_epi32(buf0[12], buf0[28]);
    buf1[13] = _mm_add_epi32(buf0[13], buf0[29]);
    buf1[29] = _mm_sub_epi32(buf0[13], buf0[29]);
    buf1[14] = _mm_add_epi32(buf0[14], buf0[30]);
    buf1[30] = _mm_sub_epi32(buf0[14], buf0[30]);
    buf1[15] = _mm_add_epi32(buf0[15], buf0[31]);
    buf1[31] = _mm_sub_epi32(buf0[15], buf0[31]);

    // stage 4
    stage_idx++;
    bit = cos_bit[stage_idx];
    cospi = cospi_arr(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_sse4_1_type0(cospi[4], cospi[60], buf1[16], buf1[17], buf0[16],
                        buf0[17], bit);
    btf_32_sse4_1_type0(cospi[20], cospi[44], buf1[18], buf1[19], buf0[18],
                        buf0[19], bit);
    btf_32_sse4_1_type0(cospi[36], cospi[28], buf1[20], buf1[21], buf0[20],
                        buf0[21], bit);
    btf_32_sse4_1_type0(cospi[52], cospi[12], buf1[22], buf1[23], buf0[22],
                        buf0[23], bit);
    btf_32_sse4_1_type0(-cospi[60], cospi[4], buf1[24], buf1[25], buf0[24],
                        buf0[25], bit);
    btf_32_sse4_1_type0(-cospi[44], cospi[20], buf1[26], buf1[27], buf0[26],
                        buf0[27], bit);
    btf_32_sse4_1_type0(-cospi[28], cospi[36], buf1[28], buf1[29], buf0[28],
                        buf0[29], bit);
    btf_32_sse4_1_type0(-cospi[12], cospi[52], buf1[30], buf1[31], buf0[30],
                        buf0[31], bit);

    // stage 5
    stage_idx++;
    buf1[0] = _mm_add_epi32(buf0[0], buf0[8]);
    buf1[8] = _mm_sub_epi32(buf0[0], buf0[8]);
    buf1[1] = _mm_add_epi32(buf0[1], buf0[9]);
    buf1[9] = _mm_sub_epi32(buf0[1], buf0[9]);
    buf1[2] = _mm_add_epi32(buf0[2], buf0[10]);
    buf1[10] = _mm_sub_epi32(buf0[2], buf0[10]);
    buf1[3] = _mm_add_epi32(buf0[3], buf0[11]);
    buf1[11] = _mm_sub_epi32(buf0[3], buf0[11]);
    buf1[4] = _mm_add_epi32(buf0[4], buf0[12]);
    buf1[12] = _mm_sub_epi32(buf0[4], buf0[12]);
    buf1[5] = _mm_add_epi32(buf0[5], buf0[13]);
    buf1[13] = _mm_sub_epi32(buf0[5], buf0[13]);
    buf1[6] = _mm_add_epi32(buf0[6], buf0[14]);
    buf1[14] = _mm_sub_epi32(buf0[6], buf0[14]);
    buf1[7] = _mm_add_epi32(buf0[7], buf0[15]);
    buf1[15] = _mm_sub_epi32(buf0[7], buf0[15]);
    buf1[16] = _mm_add_epi32(buf0[16], buf0[24]);
    buf1[24] = _mm_sub_epi32(buf0[16], buf0[24]);
    buf1[17] = _mm_add_epi32(buf0[17], buf0[25]);
    buf1[25] = _mm_sub_epi32(buf0[17], buf0[25]);
    buf1[18] = _mm_add_epi32(buf0[18], buf0[26]);
    buf1[26] = _mm_sub_epi32(buf0[18], buf0[26]);
    buf1[19] = _mm_add_epi32(buf0[19], buf0[27]);
    buf1[27] = _mm_sub_epi32(buf0[19], buf0[27]);
    buf1[20] = _mm_add_epi32(buf0[20], buf0[28]);
    buf1[28] = _mm_sub_epi32(buf0[20], buf0[28]);
    buf1[21] = _mm_add_epi32(buf0[21], buf0[29]);
    buf1[29] = _mm_sub_epi32(buf0[21], buf0[29]);
    buf1[22] = _mm_add_epi32(buf0[22], buf0[30]);
    buf1[30] = _mm_sub_epi32(buf0[22], buf0[30]);
    buf1[23] = _mm_add_epi32(buf0[23], buf0[31]);
    buf1[31] = _mm_sub_epi32(buf0[23], buf0[31]);

    // stage 6
    stage_idx++;
    bit = cos_bit[stage_idx];
    cospi = cospi_arr(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];
    btf_32_sse4_1_type0(cospi[8], cospi[56], buf1[8], buf1[9], buf0[8], buf0[9],
                        bit);
    btf_32_sse4_1_type0(cospi[40], cospi[24], buf1[10], buf1[11], buf0[10],
                        buf0[11], bit);
    btf_32_sse4_1_type0(-cospi[56], cospi[8], buf1[12], buf1[13], buf0[12],
                        buf0[13], bit);
    btf_32_sse4_1_type0(-cospi[24], cospi[40], buf1[14], buf1[15], buf0[14],
                        buf0[15], bit);
    buf0[16] = buf1[16];
    buf0[17] = buf1[17];
    buf0[18] = buf1[18];
    buf0[19] = buf1[19];
    buf0[20] = buf1[20];
    buf0[21] = buf1[21];
    buf0[22] = buf1[22];
    buf0[23] = buf1[23];
    btf_32_sse4_1_type0(cospi[8], cospi[56], buf1[24], buf1[25], buf0[24],
                        buf0[25], bit);
    btf_32_sse4_1_type0(cospi[40], cospi[24], buf1[26], buf1[27], buf0[26],
                        buf0[27], bit);
    btf_32_sse4_1_type0(-cospi[56], cospi[8], buf1[28], buf1[29], buf0[28],
                        buf0[29], bit);
    btf_32_sse4_1_type0(-cospi[24], cospi[40], buf1[30], buf1[31], buf0[30],
                        buf0[31], bit);

    // stage 7
    stage_idx++;
    buf1[0] = _mm_add_epi32(buf0[0], buf0[4]);
    buf1[4] = _mm_sub_epi32(buf0[0], buf0[4]);
    buf1[1] = _mm_add_epi32(buf0[1], buf0[5]);
    buf1[5] = _mm_sub_epi32(buf0[1], buf0[5]);
    buf1[2] = _mm_add_epi32(buf0[2], buf0[6]);
    buf1[6] = _mm_sub_epi32(buf0[2], buf0[6]);
    buf1[3] = _mm_add_epi32(buf0[3], buf0[7]);
    buf1[7] = _mm_sub_epi32(buf0[3], buf0[7]);
    buf1[8] = _mm_add_epi32(buf0[8], buf0[12]);
    buf1[12] = _mm_sub_epi32(buf0[8], buf0[12]);
    buf1[9] = _mm_add_epi32(buf0[9], buf0[13]);
    buf1[13] = _mm_sub_epi32(buf0[9], buf0[13]);
    buf1[10] = _mm_add_epi32(buf0[10], buf0[14]);
    buf1[14] = _mm_sub_epi32(buf0[10], buf0[14]);
    buf1[11] = _mm_add_epi32(buf0[11], buf0[15]);
    buf1[15] = _mm_sub_epi32(buf0[11], buf0[15]);
    buf1[16] = _mm_add_epi32(buf0[16], buf0[20]);
    buf1[20] = _mm_sub_epi32(buf0[16], buf0[20]);
    buf1[17] = _mm_add_epi32(buf0[17], buf0[21]);
    buf1[21] = _mm_sub_epi32(buf0[17], buf0[21]);
    buf1[18] = _mm_add_epi32(buf0[18], buf0[22]);
    buf1[22] = _mm_sub_epi32(buf0[18], buf0[22]);
    buf1[19] = _mm_add_epi32(buf0[19], buf0[23]);
    buf1[23] = _mm_sub_epi32(buf0[19], buf0[23]);
    buf1[24] = _mm_add_epi32(buf0[24], buf0[28]);
    buf1[28] = _mm_sub_epi32(buf0[24], buf0[28]);
    buf1[25] = _mm_add_epi32(buf0[25], buf0[29]);
    buf1[29] = _mm_sub_epi32(buf0[25], buf0[29]);
    buf1[26] = _mm_add_epi32(buf0[26], buf0[30]);
    buf1[30] = _mm_sub_epi32(buf0[26], buf0[30]);
    buf1[27] = _mm_add_epi32(buf0[27], buf0[31]);
    buf1[31] = _mm_sub_epi32(buf0[27], buf0[31]);

    // stage 8
    stage_idx++;
    bit = cos_bit[stage_idx];
    cospi = cospi_arr(bit);
    buf0[0] = buf1[0];
    buf0[1] = buf1[1];
    buf0[2] = buf1[2];
    buf0[3] = buf1[3];
    btf_32_sse4_1_type0(cospi[16], cospi[48], buf1[4], buf1[5], buf0[4],
                        buf0[5], bit);
    btf_32_sse4_1_type0(-cospi[48], cospi[16], buf1[6], buf1[7], buf0[6],
                        buf0[7], bit);
    buf0[8] = buf1[8];
    buf0[9] = buf1[9];
    buf0[10] = buf1[10];
    buf0[11] = buf1[11];
    btf_32_sse4_1_type0(cospi[16], cospi[48], buf1[12], buf1[13], buf0[12],
                        buf0[13], bit);
    btf_32_sse4_1_type0(-cospi[48], cospi[16], buf1[14], buf1[15], buf0[14],
                        buf0[15], bit);
    buf0[16] = buf1[16];
    buf0[17] = buf1[17];
    buf0[18] = buf1[18];
    buf0[19] = buf1[19];
    btf_32_sse4_1_type0(cospi[16], cospi[48], buf1[20], buf1[21], buf0[20],
                        buf0[21], bit);
    btf_32_sse4_1_type0(-cospi[48], cospi[16], buf1[22], buf1[23], buf0[22],
                        buf0[23], bit);
    buf0[24] = buf1[24];
    buf0[25] = buf1[25];
    buf0[26] = buf1[26];
    buf0[27] = buf1[27];
    btf_32_sse4_1_type0(cospi[16], cospi[48], buf1[28], buf1[29], buf0[28],
                        buf0[29], bit);
    btf_32_sse4_1_type0(-cospi[48], cospi[16], buf1[30], buf1[31], buf0[30],
                        buf0[31], bit);

    // stage 9
    stage_idx++;
    buf1[0] = _mm_add_epi32(buf0[0], buf0[2]);
    buf1[2] = _mm_sub_epi32(buf0[0], buf0[2]);
    buf1[1] = _mm_add_epi32(buf0[1], buf0[3]);
    buf1[3] = _mm_sub_epi32(buf0[1], buf0[3]);
    buf1[4] = _mm_add_epi32(buf0[4], buf0[6]);
    buf1[6] = _mm_sub_epi32(buf0[4], buf0[6]);
    buf1[5] = _mm_add_epi32(buf0[5], buf0[7]);
    buf1[7] = _mm_sub_epi32(buf0[5], buf0[7]);
    buf1[8] = _mm_add_epi32(buf0[8], buf0[10]);
    buf1[10] = _mm_sub_epi32(buf0[8], buf0[10]);
    buf1[9] = _mm_add_epi32(buf0[9], buf0[11]);
    buf1[11] = _mm_sub_epi32(buf0[9], buf0[11]);
    buf1[12] = _mm_add_epi32(buf0[12], buf0[14]);
    buf1[14] = _mm_sub_epi32(buf0[12], buf0[14]);
    buf1[13] = _mm_add_epi32(buf0[13], buf0[15]);
    buf1[15] = _mm_sub_epi32(buf0[13], buf0[15]);
    buf1[16] = _mm_add_epi32(buf0[16], buf0[18]);
    buf1[18] = _mm_sub_epi32(buf0[16], buf0[18]);
    buf1[17] = _mm_add_epi32(buf0[17], buf0[19]);
    buf1[19] = _mm_sub_epi32(buf0[17], buf0[19]);
    buf1[20] = _mm_add_epi32(buf0[20], buf0[22]);
    buf1[22] = _mm_sub_epi32(buf0[20], buf0[22]);
    buf1[21] = _mm_add_epi32(buf0[21], buf0[23]);
    buf1[23] = _mm_sub_epi32(buf0[21], buf0[23]);
    buf1[24] = _mm_add_epi32(buf0[24], buf0[26]);
    buf1[26] = _mm_sub_epi32(buf0[24], buf0[26]);
    buf1[25] = _mm_add_epi32(buf0[25], buf0[27]);
    buf1[27] = _mm_sub_epi32(buf0[25], buf0[27]);
    buf1[28] = _mm_add_epi32(buf0[28], buf0[30]);
    buf1[30] = _mm_sub_epi32(buf0[28], buf0[30]);
    buf1[29] = _mm_add_epi32(buf0[29], buf0[31]);
    buf1[31] = _mm_sub_epi32(buf0[29], buf0[31]);

    // stage 10
    stage_idx++;
    bit = cos_bit[stage_idx];
    cospi = cospi_arr(bit);
    buf0[0] = buf1[0];
    buf0[1] = buf1[1];
    btf_32_sse4_1_type0(cospi[32], cospi[32], buf1[2], buf1[3], buf0[2],
                        buf0[3], bit);
    buf0[4] = buf1[4];
    buf0[5] = buf1[5];
    btf_32_sse4_1_type0(cospi[32], cospi[32], buf1[6], buf1[7], buf0[6],
                        buf0[7], bit);
    buf0[8] = buf1[8];
    buf0[9] = buf1[9];
    btf_32_sse4_1_type0(cospi[32], cospi[32], buf1[10], buf1[11], buf0[10],
                        buf0[11], bit);
    buf0[12] = buf1[12];
    buf0[13] = buf1[13];
    btf_32_sse4_1_type0(cospi[32], cospi[32], buf1[14], buf1[15], buf0[14],
                        buf0[15], bit);
    buf0[16] = buf1[16];
    buf0[17] = buf1[17];
    btf_32_sse4_1_type0(cospi[32], cospi[32], buf1[18], buf1[19], buf0[18],
                        buf0[19], bit);
    buf0[20] = buf1[20];
    buf0[21] = buf1[21];
    btf_32_sse4_1_type0(cospi[32], cospi[32], buf1[22], buf1[23], buf0[22],
                        buf0[23], bit);
    buf0[24] = buf1[24];
    buf0[25] = buf1[25];
    btf_32_sse4_1_type0(cospi[32], cospi[32], buf1[26], buf1[27], buf0[26],
                        buf0[27], bit);
    buf0[28] = buf1[28];
    buf0[29] = buf1[29];
    btf_32_sse4_1_type0(cospi[32], cospi[32], buf1[30], buf1[31], buf0[30],
                        buf0[31], bit);

    // stage 11
    stage_idx++;
    buf1[0] = buf0[0];
    buf1[1] = _mm_sub_epi32(_mm_set1_epi32(0), buf0[16]);
    buf1[2] = buf0[24];
    buf1[3] = _mm_sub_epi32(_mm_set1_epi32(0), buf0[8]);
    buf1[4] = buf0[12];
    buf1[5] = _mm_sub_epi32(_mm_set1_epi32(0), buf0[28]);
    buf1[6] = buf0[20];
    buf1[7] = _mm_sub_epi32(_mm_set1_epi32(0), buf0[4]);
    buf1[8] = buf0[6];
    buf1[9] = _mm_sub_epi32(_mm_set1_epi32(0), buf0[22]);
    buf1[10] = buf0[30];
    buf1[11] = _mm_sub_epi32(_mm_set1_epi32(0), buf0[14]);
    buf1[12] = buf0[10];
    buf1[13] = _mm_sub_epi32(_mm_set1_epi32(0), buf0[26]);
    buf1[14] = buf0[18];
    buf1[15] = _mm_sub_epi32(_mm_set1_epi32(0), buf0[2]);
    buf1[16] = buf0[3];
    buf1[17] = _mm_sub_epi32(_mm_set1_epi32(0), buf0[19]);
    buf1[18] = buf0[27];
    buf1[19] = _mm_sub_epi32(_mm_set1_epi32(0), buf0[11]);
    buf1[20] = buf0[15];
    buf1[21] = _mm_sub_epi32(_mm_set1_epi32(0), buf0[31]);
    buf1[22] = buf0[23];
    buf1[23] = _mm_sub_epi32(_mm_set1_epi32(0), buf0[7]);
    buf1[24] = buf0[5];
    buf1[25] = _mm_sub_epi32(_mm_set1_epi32(0), buf0[21]);
    buf1[26] = buf0[29];
    buf1[27] = _mm_sub_epi32(_mm_set1_epi32(0), buf0[13]);
    buf1[28] = buf0[9];
    buf1[29] = _mm_sub_epi32(_mm_set1_epi32(0), buf0[25]);
    buf1[30] = buf0[17];
    buf1[31] = _mm_sub_epi32(_mm_set1_epi32(0), buf0[1]);

    for (j = 0; j < 32; ++j) {
      output[j * col_num + col] = buf1[j];
    }
  }
}