/*
 *  Copyright (c) 2012 The WebM project authors. All Rights Reserved.
 *
 *  Use of this source code is governed by a BSD-style license
 *  that can be found in the LICENSE file in the root of the source
 *  tree. An additional intellectual property rights grant can be found
 *  in the file PATENTS.  All contributing project authors may
 *  be found in the AUTHORS file in the root of the source tree.
 */

#include <assert.h>
#include <emmintrin.h>  // SSE2
#include "./vpx_config.h"
#include "vpx/vpx_integer.h"
#include "vp9/common/vp9_common.h"
#include "vp9/common/vp9_idct.h"

void vp9_short_idct4x4_add_sse2(int16_t *input, uint8_t *dest, int stride) {
  const __m128i zero = _mm_setzero_si128();
  const __m128i eight = _mm_set1_epi16(8);
  const __m128i cst = _mm_setr_epi16((int16_t)cospi_16_64, (int16_t)cospi_16_64,
                                    (int16_t)cospi_16_64, (int16_t)-cospi_16_64,
                                    (int16_t)cospi_24_64, (int16_t)-cospi_8_64,
                                    (int16_t)cospi_8_64, (int16_t)cospi_24_64);
  const __m128i rounding = _mm_set1_epi32(DCT_CONST_ROUNDING);
  __m128i input0, input1, input2, input3;

  // Rows
  input0 = _mm_loadl_epi64((__m128i *)input);
  input1 = _mm_loadl_epi64((__m128i *)(input + 4));
  input2 = _mm_loadl_epi64((__m128i *)(input + 8));
  input3 = _mm_loadl_epi64((__m128i *)(input + 12));

  // Construct i3, i1, i3, i1, i2, i0, i2, i0
  input0 = _mm_shufflelo_epi16(input0, 0xd8);
  input1 = _mm_shufflelo_epi16(input1, 0xd8);
  input2 = _mm_shufflelo_epi16(input2, 0xd8);
  input3 = _mm_shufflelo_epi16(input3, 0xd8);

  input0 = _mm_unpacklo_epi32(input0, input0);
  input1 = _mm_unpacklo_epi32(input1, input1);
  input2 = _mm_unpacklo_epi32(input2, input2);
  input3 = _mm_unpacklo_epi32(input3, input3);

  // Stage 1
  input0 = _mm_madd_epi16(input0, cst);
  input1 = _mm_madd_epi16(input1, cst);
  input2 = _mm_madd_epi16(input2, cst);
  input3 = _mm_madd_epi16(input3, cst);

  input0 = _mm_add_epi32(input0, rounding);
  input1 = _mm_add_epi32(input1, rounding);
  input2 = _mm_add_epi32(input2, rounding);
  input3 = _mm_add_epi32(input3, rounding);

  input0 = _mm_srai_epi32(input0, DCT_CONST_BITS);
  input1 = _mm_srai_epi32(input1, DCT_CONST_BITS);
  input2 = _mm_srai_epi32(input2, DCT_CONST_BITS);
  input3 = _mm_srai_epi32(input3, DCT_CONST_BITS);

  // Stage 2
  input0 = _mm_packs_epi32(input0, zero);
  input1 = _mm_packs_epi32(input1, zero);
  input2 = _mm_packs_epi32(input2, zero);
  input3 = _mm_packs_epi32(input3, zero);

  // Transpose
  input1 = _mm_unpacklo_epi16(input0, input1);
  input3 = _mm_unpacklo_epi16(input2, input3);
  input0 = _mm_unpacklo_epi32(input1, input3);
  input1 = _mm_unpackhi_epi32(input1, input3);

  // Switch column2, column 3, and then, we got:
  // input2: column1, column 0;  input3: column2, column 3.
  input1 = _mm_shuffle_epi32(input1, 0x4e);
  input2 = _mm_add_epi16(input0, input1);
  input3 = _mm_sub_epi16(input0, input1);

  // Columns
  // Construct i3, i1, i3, i1, i2, i0, i2, i0
  input0 = _mm_shufflelo_epi16(input2, 0xd8);
  input1 = _mm_shufflehi_epi16(input2, 0xd8);
  input2 = _mm_shufflehi_epi16(input3, 0xd8);
  input3 = _mm_shufflelo_epi16(input3, 0xd8);

  input0 = _mm_unpacklo_epi32(input0, input0);
  input1 = _mm_unpackhi_epi32(input1, input1);
  input2 = _mm_unpackhi_epi32(input2, input2);
  input3 = _mm_unpacklo_epi32(input3, input3);

  // Stage 1
  input0 = _mm_madd_epi16(input0, cst);
  input1 = _mm_madd_epi16(input1, cst);
  input2 = _mm_madd_epi16(input2, cst);
  input3 = _mm_madd_epi16(input3, cst);

  input0 = _mm_add_epi32(input0, rounding);
  input1 = _mm_add_epi32(input1, rounding);
  input2 = _mm_add_epi32(input2, rounding);
  input3 = _mm_add_epi32(input3, rounding);

  input0 = _mm_srai_epi32(input0, DCT_CONST_BITS);
  input1 = _mm_srai_epi32(input1, DCT_CONST_BITS);
  input2 = _mm_srai_epi32(input2, DCT_CONST_BITS);
  input3 = _mm_srai_epi32(input3, DCT_CONST_BITS);

  // Stage 2
  input0 = _mm_packs_epi32(input0, zero);
  input1 = _mm_packs_epi32(input1, zero);
  input2 = _mm_packs_epi32(input2, zero);
  input3 = _mm_packs_epi32(input3, zero);

  // Transpose
  input1 = _mm_unpacklo_epi16(input0, input1);
  input3 = _mm_unpacklo_epi16(input2, input3);
  input0 = _mm_unpacklo_epi32(input1, input3);
  input1 = _mm_unpackhi_epi32(input1, input3);

  // Switch column2, column 3, and then, we got:
  // input2: column1, column 0;  input3: column2, column 3.
  input1 = _mm_shuffle_epi32(input1, 0x4e);
  input2 = _mm_add_epi16(input0, input1);
  input3 = _mm_sub_epi16(input0, input1);

  // Final round and shift
  input2 = _mm_add_epi16(input2, eight);
  input3 = _mm_add_epi16(input3, eight);

  input2 = _mm_srai_epi16(input2, 4);
  input3 = _mm_srai_epi16(input3, 4);

#define RECON_AND_STORE4X4(dest, in_x) \
  {                                                     \
      __m128i d0 = _mm_cvtsi32_si128(*(const int *)(dest)); \
      d0 = _mm_unpacklo_epi8(d0, zero); \
      d0 = _mm_add_epi16(in_x, d0); \
      d0 = _mm_packus_epi16(d0, d0); \
      *(int *)dest = _mm_cvtsi128_si32(d0); \
      dest += stride; \
  }

  input0 = _mm_srli_si128(input2, 8);
  input1 = _mm_srli_si128(input3, 8);

  RECON_AND_STORE4X4(dest, input2);
  RECON_AND_STORE4X4(dest, input0);
  RECON_AND_STORE4X4(dest, input1);
  RECON_AND_STORE4X4(dest, input3);
}

void vp9_short_idct4x4_1_add_sse2(int16_t *input, uint8_t *dest, int stride) {
  __m128i dc_value;
  const __m128i zero = _mm_setzero_si128();
  int a;

  a = dct_const_round_shift(input[0] * cospi_16_64);
  a = dct_const_round_shift(a * cospi_16_64);
  a = ROUND_POWER_OF_TWO(a, 4);

  dc_value = _mm_set1_epi16(a);

  RECON_AND_STORE4X4(dest, dc_value);
  RECON_AND_STORE4X4(dest, dc_value);
  RECON_AND_STORE4X4(dest, dc_value);
  RECON_AND_STORE4X4(dest, dc_value);
}

void vp9_idct4_1d_sse2(int16_t *input, int16_t *output) {
  const __m128i zero = _mm_setzero_si128();
  const __m128i c1 = _mm_setr_epi16((int16_t)cospi_16_64, (int16_t)cospi_16_64,
                                    (int16_t)cospi_16_64, (int16_t)-cospi_16_64,
                                    (int16_t)cospi_24_64, (int16_t)-cospi_8_64,
                                    (int16_t)cospi_8_64, (int16_t)cospi_24_64);
  const __m128i c2 = _mm_setr_epi16(1, 1, 1, 1, 1, -1, 1, -1);

  const __m128i rounding = _mm_set1_epi32(DCT_CONST_ROUNDING);
  __m128i in, temp;

  // Load input data.
  in = _mm_loadl_epi64((__m128i *)input);

  // Construct i3, i1, i3, i1, i2, i0, i2, i0
  in = _mm_shufflelo_epi16(in, 0xd8);
  in = _mm_unpacklo_epi32(in, in);

  // Stage 1
  in = _mm_madd_epi16(in, c1);
  in = _mm_add_epi32(in, rounding);
  in = _mm_srai_epi32(in, DCT_CONST_BITS);
  in = _mm_packs_epi32(in, zero);

  // Stage 2
  temp = _mm_shufflelo_epi16(in, 0x9c);
  in = _mm_shufflelo_epi16(in, 0xc9);
  in = _mm_unpacklo_epi64(temp, in);
  in = _mm_madd_epi16(in, c2);
  in = _mm_packs_epi32(in, zero);

  // Store results
  _mm_storel_epi64((__m128i *)output, in);
}

static INLINE void transpose_4x4(__m128i *res) {
  const __m128i tr0_0 = _mm_unpacklo_epi16(res[0], res[1]);
  const __m128i tr0_1 = _mm_unpacklo_epi16(res[2], res[3]);
  res[0] = _mm_unpacklo_epi32(tr0_0, tr0_1);
  res[2] = _mm_unpackhi_epi32(tr0_0, tr0_1);

  res[1] = _mm_unpackhi_epi64(res[0], res[0]);
  res[3] = _mm_unpackhi_epi64(res[2], res[2]);
}

void idct4_1d_sse2(__m128i *in) {
  const __m128i k__cospi_p16_p16 = pair_set_epi16(cospi_16_64, cospi_16_64);
  const __m128i k__cospi_p16_m16 = pair_set_epi16(cospi_16_64, -cospi_16_64);
  const __m128i k__cospi_p24_m08 = pair_set_epi16(cospi_24_64, -cospi_8_64);
  const __m128i k__cospi_p08_p24 = pair_set_epi16(cospi_8_64, cospi_24_64);
  const __m128i k__DCT_CONST_ROUNDING = _mm_set1_epi32(DCT_CONST_ROUNDING);
  __m128i u[8], v[8];

  transpose_4x4(in);
  // stage 1
  u[0] = _mm_unpacklo_epi16(in[0], in[2]);
  u[1] = _mm_unpacklo_epi16(in[1], in[3]);
  v[0] = _mm_madd_epi16(u[0], k__cospi_p16_p16);
  v[1] = _mm_madd_epi16(u[0], k__cospi_p16_m16);
  v[2] = _mm_madd_epi16(u[1], k__cospi_p24_m08);
  v[3] = _mm_madd_epi16(u[1], k__cospi_p08_p24);

  u[0] = _mm_add_epi32(v[0], k__DCT_CONST_ROUNDING);
  u[1] = _mm_add_epi32(v[1], k__DCT_CONST_ROUNDING);
  u[2] = _mm_add_epi32(v[2], k__DCT_CONST_ROUNDING);
  u[3] = _mm_add_epi32(v[3], k__DCT_CONST_ROUNDING);

  v[0] = _mm_srai_epi32(u[0], DCT_CONST_BITS);
  v[1] = _mm_srai_epi32(u[1], DCT_CONST_BITS);
  v[2] = _mm_srai_epi32(u[2], DCT_CONST_BITS);
  v[3] = _mm_srai_epi32(u[3], DCT_CONST_BITS);

  u[0] = _mm_packs_epi32(v[0], v[2]);
  u[1] = _mm_packs_epi32(v[1], v[3]);
  u[2] = _mm_unpackhi_epi64(u[0], u[0]);
  u[3] = _mm_unpackhi_epi64(u[1], u[1]);

  // stage 2
  in[0] = _mm_add_epi16(u[0], u[3]);
  in[1] = _mm_add_epi16(u[1], u[2]);
  in[2] = _mm_sub_epi16(u[1], u[2]);
  in[3] = _mm_sub_epi16(u[0], u[3]);
}

void iadst4_1d_sse2(__m128i *in) {
  const __m128i k__sinpi_p01_p04 = pair_set_epi16(sinpi_1_9, sinpi_4_9);
  const __m128i k__sinpi_p03_p02 = pair_set_epi16(sinpi_3_9, sinpi_2_9);
  const __m128i k__sinpi_p02_m01 = pair_set_epi16(sinpi_2_9, -sinpi_1_9);
  const __m128i k__sinpi_p03_m04 = pair_set_epi16(sinpi_3_9, -sinpi_4_9);
  const __m128i k__sinpi_p03_p03 = _mm_set1_epi16(sinpi_3_9);
  const __m128i kZero = _mm_set1_epi16(0);
  const __m128i k__DCT_CONST_ROUNDING = _mm_set1_epi32(DCT_CONST_ROUNDING);
  __m128i u[8], v[8], in7;

  transpose_4x4(in);
  in7 = _mm_add_epi16(in[0], in[3]);
  in7 = _mm_sub_epi16(in7, in[2]);

  u[0] = _mm_unpacklo_epi16(in[0], in[2]);
  u[1] = _mm_unpacklo_epi16(in[1], in[3]);
  u[2] = _mm_unpacklo_epi16(in7, kZero);
  u[3] = _mm_unpacklo_epi16(in[1], kZero);

  v[0] = _mm_madd_epi16(u[0], k__sinpi_p01_p04);  // s0 + s3
  v[1] = _mm_madd_epi16(u[1], k__sinpi_p03_p02);  // s2 + s5
  v[2] = _mm_madd_epi16(u[2], k__sinpi_p03_p03);  // x2
  v[3] = _mm_madd_epi16(u[0], k__sinpi_p02_m01);  // s1 - s4
  v[4] = _mm_madd_epi16(u[1], k__sinpi_p03_m04);  // s2 - s6
  v[5] = _mm_madd_epi16(u[3], k__sinpi_p03_p03);  // s2

  u[0] = _mm_add_epi32(v[0], v[1]);
  u[1] = _mm_add_epi32(v[3], v[4]);
  u[2] = v[2];
  u[3] = _mm_add_epi32(u[0], u[1]);
  u[4] = _mm_slli_epi32(v[5], 2);
  u[5] = _mm_add_epi32(u[3], v[5]);
  u[6] = _mm_sub_epi32(u[5], u[4]);

  v[0] = _mm_add_epi32(u[0], k__DCT_CONST_ROUNDING);
  v[1] = _mm_add_epi32(u[1], k__DCT_CONST_ROUNDING);
  v[2] = _mm_add_epi32(u[2], k__DCT_CONST_ROUNDING);
  v[3] = _mm_add_epi32(u[6], k__DCT_CONST_ROUNDING);

  u[0] = _mm_srai_epi32(v[0], DCT_CONST_BITS);
  u[1] = _mm_srai_epi32(v[1], DCT_CONST_BITS);
  u[2] = _mm_srai_epi32(v[2], DCT_CONST_BITS);
  u[3] = _mm_srai_epi32(v[3], DCT_CONST_BITS);

  in[0] = _mm_packs_epi32(u[0], u[2]);
  in[1] = _mm_packs_epi32(u[1], u[3]);
  in[2] = _mm_unpackhi_epi64(in[0], in[0]);
  in[3] = _mm_unpackhi_epi64(in[1], in[1]);
}

void vp9_short_iht4x4_add_sse2(int16_t *input, uint8_t *dest, int stride,
                               int tx_type) {
  __m128i in[4];
  const __m128i zero = _mm_setzero_si128();
  const __m128i eight = _mm_set1_epi16(8);

  in[0] = _mm_loadl_epi64((__m128i *)input);
  in[1] = _mm_loadl_epi64((__m128i *)(input + 4));
  in[2] = _mm_loadl_epi64((__m128i *)(input + 8));
  in[3] = _mm_loadl_epi64((__m128i *)(input + 12));

  switch (tx_type) {
    case 0:  // DCT_DCT
      idct4_1d_sse2(in);
      idct4_1d_sse2(in);
      break;
    case 1:  // ADST_DCT
      idct4_1d_sse2(in);
      iadst4_1d_sse2(in);
      break;
    case 2:  // DCT_ADST
      iadst4_1d_sse2(in);
      idct4_1d_sse2(in);
      break;
    case 3:  // ADST_ADST
      iadst4_1d_sse2(in);
      iadst4_1d_sse2(in);
      break;
    default:
      assert(0);
      break;
  }

  // Final round and shift
  in[0] = _mm_add_epi16(in[0], eight);
  in[1] = _mm_add_epi16(in[1], eight);
  in[2] = _mm_add_epi16(in[2], eight);
  in[3] = _mm_add_epi16(in[3], eight);

  in[0] = _mm_srai_epi16(in[0], 4);
  in[1] = _mm_srai_epi16(in[1], 4);
  in[2] = _mm_srai_epi16(in[2], 4);
  in[3] = _mm_srai_epi16(in[3], 4);

  RECON_AND_STORE4X4(dest, in[0]);
  RECON_AND_STORE4X4(dest, in[1]);
  RECON_AND_STORE4X4(dest, in[2]);
  RECON_AND_STORE4X4(dest, in[3]);
}

#define TRANSPOSE_8X8(in0, in1, in2, in3, in4, in5, in6, in7, \
                      out0, out1, out2, out3, out4, out5, out6, out7) \
  {                                                     \
    const __m128i tr0_0 = _mm_unpacklo_epi16(in0, in1); \
    const __m128i tr0_1 = _mm_unpacklo_epi16(in2, in3); \
    const __m128i tr0_2 = _mm_unpackhi_epi16(in0, in1); \
    const __m128i tr0_3 = _mm_unpackhi_epi16(in2, in3); \
    const __m128i tr0_4 = _mm_unpacklo_epi16(in4, in5); \
    const __m128i tr0_5 = _mm_unpacklo_epi16(in6, in7); \
    const __m128i tr0_6 = _mm_unpackhi_epi16(in4, in5); \
    const __m128i tr0_7 = _mm_unpackhi_epi16(in6, in7); \
                                                        \
    const __m128i tr1_0 = _mm_unpacklo_epi32(tr0_0, tr0_1); \
    const __m128i tr1_1 = _mm_unpacklo_epi32(tr0_2, tr0_3); \
    const __m128i tr1_2 = _mm_unpackhi_epi32(tr0_0, tr0_1); \
    const __m128i tr1_3 = _mm_unpackhi_epi32(tr0_2, tr0_3); \
    const __m128i tr1_4 = _mm_unpacklo_epi32(tr0_4, tr0_5); \
    const __m128i tr1_5 = _mm_unpacklo_epi32(tr0_6, tr0_7); \
    const __m128i tr1_6 = _mm_unpackhi_epi32(tr0_4, tr0_5); \
    const __m128i tr1_7 = _mm_unpackhi_epi32(tr0_6, tr0_7); \
                                                            \
    out0 = _mm_unpacklo_epi64(tr1_0, tr1_4); \
    out1 = _mm_unpackhi_epi64(tr1_0, tr1_4); \
    out2 = _mm_unpacklo_epi64(tr1_2, tr1_6); \
    out3 = _mm_unpackhi_epi64(tr1_2, tr1_6); \
    out4 = _mm_unpacklo_epi64(tr1_1, tr1_5); \
    out5 = _mm_unpackhi_epi64(tr1_1, tr1_5); \
    out6 = _mm_unpacklo_epi64(tr1_3, tr1_7); \
    out7 = _mm_unpackhi_epi64(tr1_3, tr1_7); \
  }

#define TRANSPOSE_4X8(in0, in1, in2, in3, in4, in5, in6, in7, \
                      out0, out1, out2, out3, out4, out5, out6, out7) \
  {                                                     \
    const __m128i tr0_0 = _mm_unpacklo_epi16(in0, in1); \
    const __m128i tr0_1 = _mm_unpacklo_epi16(in2, in3); \
    const __m128i tr0_4 = _mm_unpacklo_epi16(in4, in5); \
    const __m128i tr0_5 = _mm_unpacklo_epi16(in6, in7); \
                                                        \
    const __m128i tr1_0 = _mm_unpacklo_epi32(tr0_0, tr0_1); \
    const __m128i tr1_2 = _mm_unpackhi_epi32(tr0_0, tr0_1); \
    const __m128i tr1_4 = _mm_unpacklo_epi32(tr0_4, tr0_5); \
    const __m128i tr1_6 = _mm_unpackhi_epi32(tr0_4, tr0_5); \
                                                            \
    out0 = _mm_unpacklo_epi64(tr1_0, tr1_4); \
    out1 = _mm_unpackhi_epi64(tr1_0, tr1_4); \
    out2 = _mm_unpacklo_epi64(tr1_2, tr1_6); \
    out3 = _mm_unpackhi_epi64(tr1_2, tr1_6); \
    out4 = out5 = out6 = out7 = zero; \
  }

#define TRANSPOSE_8X4(in0, in1, in2, in3, out0, out1, out2, out3) \
  {                                                     \
    const __m128i tr0_0 = _mm_unpacklo_epi16(in0, in1); \
    const __m128i tr0_1 = _mm_unpacklo_epi16(in2, in3); \
    const __m128i tr0_2 = _mm_unpackhi_epi16(in0, in1); \
    const __m128i tr0_3 = _mm_unpackhi_epi16(in2, in3); \
                                                        \
    in0 = _mm_unpacklo_epi32(tr0_0, tr0_1);  /* i1 i0 */  \
    in1 = _mm_unpackhi_epi32(tr0_0, tr0_1);  /* i3 i2 */  \
    in2 = _mm_unpacklo_epi32(tr0_2, tr0_3);  /* i5 i4 */  \
    in3 = _mm_unpackhi_epi32(tr0_2, tr0_3);  /* i7 i6 */  \
  }

// Define Macro for multiplying elements by constants and adding them together.
#define MULTIPLICATION_AND_ADD(lo_0, hi_0, lo_1, hi_1, \
                               cst0, cst1, cst2, cst3, res0, res1, res2, res3) \
  {   \
      tmp0 = _mm_madd_epi16(lo_0, cst0); \
      tmp1 = _mm_madd_epi16(hi_0, cst0); \
      tmp2 = _mm_madd_epi16(lo_0, cst1); \
      tmp3 = _mm_madd_epi16(hi_0, cst1); \
      tmp4 = _mm_madd_epi16(lo_1, cst2); \
      tmp5 = _mm_madd_epi16(hi_1, cst2); \
      tmp6 = _mm_madd_epi16(lo_1, cst3); \
      tmp7 = _mm_madd_epi16(hi_1, cst3); \
      \
      tmp0 = _mm_add_epi32(tmp0, rounding); \
      tmp1 = _mm_add_epi32(tmp1, rounding); \
      tmp2 = _mm_add_epi32(tmp2, rounding); \
      tmp3 = _mm_add_epi32(tmp3, rounding); \
      tmp4 = _mm_add_epi32(tmp4, rounding); \
      tmp5 = _mm_add_epi32(tmp5, rounding); \
      tmp6 = _mm_add_epi32(tmp6, rounding); \
      tmp7 = _mm_add_epi32(tmp7, rounding); \
      \
      tmp0 = _mm_srai_epi32(tmp0, DCT_CONST_BITS); \
      tmp1 = _mm_srai_epi32(tmp1, DCT_CONST_BITS); \
      tmp2 = _mm_srai_epi32(tmp2, DCT_CONST_BITS); \
      tmp3 = _mm_srai_epi32(tmp3, DCT_CONST_BITS); \
      tmp4 = _mm_srai_epi32(tmp4, DCT_CONST_BITS); \
      tmp5 = _mm_srai_epi32(tmp5, DCT_CONST_BITS); \
      tmp6 = _mm_srai_epi32(tmp6, DCT_CONST_BITS); \
      tmp7 = _mm_srai_epi32(tmp7, DCT_CONST_BITS); \
      \
      res0 = _mm_packs_epi32(tmp0, tmp1); \
      res1 = _mm_packs_epi32(tmp2, tmp3); \
      res2 = _mm_packs_epi32(tmp4, tmp5); \
      res3 = _mm_packs_epi32(tmp6, tmp7); \
  }

#define IDCT8x8_1D  \
  /* Stage1 */      \
  { \
    const __m128i lo_17 = _mm_unpacklo_epi16(in1, in7); \
    const __m128i hi_17 = _mm_unpackhi_epi16(in1, in7); \
    const __m128i lo_35 = _mm_unpacklo_epi16(in3, in5); \
    const __m128i hi_35 = _mm_unpackhi_epi16(in3, in5); \
    \
    MULTIPLICATION_AND_ADD(lo_17, hi_17, lo_35, hi_35, stg1_0, \
                          stg1_1, stg1_2, stg1_3, stp1_4,      \
                          stp1_7, stp1_5, stp1_6)              \
  } \
    \
  /* Stage2 */ \
  { \
    const __m128i lo_04 = _mm_unpacklo_epi16(in0, in4); \
    const __m128i hi_04 = _mm_unpackhi_epi16(in0, in4); \
    const __m128i lo_26 = _mm_unpacklo_epi16(in2, in6); \
    const __m128i hi_26 = _mm_unpackhi_epi16(in2, in6); \
    \
    MULTIPLICATION_AND_ADD(lo_04, hi_04, lo_26, hi_26, stg2_0, \
                           stg2_1, stg2_2, stg2_3, stp2_0,     \
                           stp2_1, stp2_2, stp2_3)             \
    \
    stp2_4 = _mm_adds_epi16(stp1_4, stp1_5); \
    stp2_5 = _mm_subs_epi16(stp1_4, stp1_5); \
    stp2_6 = _mm_subs_epi16(stp1_7, stp1_6); \
    stp2_7 = _mm_adds_epi16(stp1_7, stp1_6); \
  } \
    \
  /* Stage3 */ \
  { \
    const __m128i lo_56 = _mm_unpacklo_epi16(stp2_6, stp2_5); \
    const __m128i hi_56 = _mm_unpackhi_epi16(stp2_6, stp2_5); \
    \
    stp1_0 = _mm_adds_epi16(stp2_0, stp2_3); \
    stp1_1 = _mm_adds_epi16(stp2_1, stp2_2); \
    stp1_2 = _mm_subs_epi16(stp2_1, stp2_2); \
    stp1_3 = _mm_subs_epi16(stp2_0, stp2_3); \
    \
    tmp0 = _mm_madd_epi16(lo_56, stg2_1); \
    tmp1 = _mm_madd_epi16(hi_56, stg2_1); \
    tmp2 = _mm_madd_epi16(lo_56, stg2_0); \
    tmp3 = _mm_madd_epi16(hi_56, stg2_0); \
    \
    tmp0 = _mm_add_epi32(tmp0, rounding); \
    tmp1 = _mm_add_epi32(tmp1, rounding); \
    tmp2 = _mm_add_epi32(tmp2, rounding); \
    tmp3 = _mm_add_epi32(tmp3, rounding); \
    \
    tmp0 = _mm_srai_epi32(tmp0, DCT_CONST_BITS); \
    tmp1 = _mm_srai_epi32(tmp1, DCT_CONST_BITS); \
    tmp2 = _mm_srai_epi32(tmp2, DCT_CONST_BITS); \
    tmp3 = _mm_srai_epi32(tmp3, DCT_CONST_BITS); \
    \
    stp1_5 = _mm_packs_epi32(tmp0, tmp1); \
    stp1_6 = _mm_packs_epi32(tmp2, tmp3); \
  } \
  \
  /* Stage4  */ \
  in0 = _mm_adds_epi16(stp1_0, stp2_7); \
  in1 = _mm_adds_epi16(stp1_1, stp1_6); \
  in2 = _mm_adds_epi16(stp1_2, stp1_5); \
  in3 = _mm_adds_epi16(stp1_3, stp2_4); \
  in4 = _mm_subs_epi16(stp1_3, stp2_4); \
  in5 = _mm_subs_epi16(stp1_2, stp1_5); \
  in6 = _mm_subs_epi16(stp1_1, stp1_6); \
  in7 = _mm_subs_epi16(stp1_0, stp2_7);

#define RECON_AND_STORE(dest, in_x) \
  {                                                     \
     __m128i d0 = _mm_loadl_epi64((__m128i *)(dest)); \
      d0 = _mm_unpacklo_epi8(d0, zero); \
      d0 = _mm_add_epi16(in_x, d0); \
      d0 = _mm_packus_epi16(d0, d0); \
      _mm_storel_epi64((__m128i *)(dest), d0); \
      dest += stride; \
  }

void vp9_short_idct8x8_add_sse2(int16_t *input, uint8_t *dest, int stride) {
  const __m128i zero = _mm_setzero_si128();
  const __m128i rounding = _mm_set1_epi32(DCT_CONST_ROUNDING);
  const __m128i final_rounding = _mm_set1_epi16(1<<4);
  const __m128i stg1_0 = pair_set_epi16(cospi_28_64, -cospi_4_64);
  const __m128i stg1_1 = pair_set_epi16(cospi_4_64, cospi_28_64);
  const __m128i stg1_2 = pair_set_epi16(-cospi_20_64, cospi_12_64);
  const __m128i stg1_3 = pair_set_epi16(cospi_12_64, cospi_20_64);
  const __m128i stg2_0 = pair_set_epi16(cospi_16_64, cospi_16_64);
  const __m128i stg2_1 = pair_set_epi16(cospi_16_64, -cospi_16_64);
  const __m128i stg2_2 = pair_set_epi16(cospi_24_64, -cospi_8_64);
  const __m128i stg2_3 = pair_set_epi16(cospi_8_64, cospi_24_64);

  __m128i in0, in1, in2, in3, in4, in5, in6, in7;
  __m128i stp1_0, stp1_1, stp1_2, stp1_3, stp1_4, stp1_5, stp1_6, stp1_7;
  __m128i stp2_0, stp2_1, stp2_2, stp2_3, stp2_4, stp2_5, stp2_6, stp2_7;
  __m128i tmp0, tmp1, tmp2, tmp3, tmp4, tmp5, tmp6, tmp7;
  int i;

  // Load input data.
  in0 = _mm_load_si128((__m128i *)input);
  in1 = _mm_load_si128((__m128i *)(input + 8 * 1));
  in2 = _mm_load_si128((__m128i *)(input + 8 * 2));
  in3 = _mm_load_si128((__m128i *)(input + 8 * 3));
  in4 = _mm_load_si128((__m128i *)(input + 8 * 4));
  in5 = _mm_load_si128((__m128i *)(input + 8 * 5));
  in6 = _mm_load_si128((__m128i *)(input + 8 * 6));
  in7 = _mm_load_si128((__m128i *)(input + 8 * 7));

  // 2-D
  for (i = 0; i < 2; i++) {
    // 8x8 Transpose is copied from vp9_short_fdct8x8_sse2()
    TRANSPOSE_8X8(in0, in1, in2, in3, in4, in5, in6, in7, in0, in1, in2, in3,
                  in4, in5, in6, in7);

    // 4-stage 1D idct8x8
    IDCT8x8_1D
  }

  // Final rounding and shift
  in0 = _mm_adds_epi16(in0, final_rounding);
  in1 = _mm_adds_epi16(in1, final_rounding);
  in2 = _mm_adds_epi16(in2, final_rounding);
  in3 = _mm_adds_epi16(in3, final_rounding);
  in4 = _mm_adds_epi16(in4, final_rounding);
  in5 = _mm_adds_epi16(in5, final_rounding);
  in6 = _mm_adds_epi16(in6, final_rounding);
  in7 = _mm_adds_epi16(in7, final_rounding);

  in0 = _mm_srai_epi16(in0, 5);
  in1 = _mm_srai_epi16(in1, 5);
  in2 = _mm_srai_epi16(in2, 5);
  in3 = _mm_srai_epi16(in3, 5);
  in4 = _mm_srai_epi16(in4, 5);
  in5 = _mm_srai_epi16(in5, 5);
  in6 = _mm_srai_epi16(in6, 5);
  in7 = _mm_srai_epi16(in7, 5);

  RECON_AND_STORE(dest, in0);
  RECON_AND_STORE(dest, in1);
  RECON_AND_STORE(dest, in2);
  RECON_AND_STORE(dest, in3);
  RECON_AND_STORE(dest, in4);
  RECON_AND_STORE(dest, in5);
  RECON_AND_STORE(dest, in6);
  RECON_AND_STORE(dest, in7);
}

void vp9_short_idct8x8_1_add_sse2(int16_t *input, uint8_t *dest, int stride) {
  __m128i dc_value;
  const __m128i zero = _mm_setzero_si128();
  int a;

  a = dct_const_round_shift(input[0] * cospi_16_64);
  a = dct_const_round_shift(a * cospi_16_64);
  a = ROUND_POWER_OF_TWO(a, 5);

  dc_value = _mm_set1_epi16(a);

  RECON_AND_STORE(dest, dc_value);
  RECON_AND_STORE(dest, dc_value);
  RECON_AND_STORE(dest, dc_value);
  RECON_AND_STORE(dest, dc_value);
  RECON_AND_STORE(dest, dc_value);
  RECON_AND_STORE(dest, dc_value);
  RECON_AND_STORE(dest, dc_value);
  RECON_AND_STORE(dest, dc_value);
}

// perform 8x8 transpose
static INLINE void array_transpose_8x8(__m128i *in, __m128i *res) {
  const __m128i tr0_0 = _mm_unpacklo_epi16(in[0], in[1]);
  const __m128i tr0_1 = _mm_unpacklo_epi16(in[2], in[3]);
  const __m128i tr0_2 = _mm_unpackhi_epi16(in[0], in[1]);
  const __m128i tr0_3 = _mm_unpackhi_epi16(in[2], in[3]);
  const __m128i tr0_4 = _mm_unpacklo_epi16(in[4], in[5]);
  const __m128i tr0_5 = _mm_unpacklo_epi16(in[6], in[7]);
  const __m128i tr0_6 = _mm_unpackhi_epi16(in[4], in[5]);
  const __m128i tr0_7 = _mm_unpackhi_epi16(in[6], in[7]);

  const __m128i tr1_0 = _mm_unpacklo_epi32(tr0_0, tr0_1);
  const __m128i tr1_1 = _mm_unpacklo_epi32(tr0_4, tr0_5);
  const __m128i tr1_2 = _mm_unpackhi_epi32(tr0_0, tr0_1);
  const __m128i tr1_3 = _mm_unpackhi_epi32(tr0_4, tr0_5);
  const __m128i tr1_4 = _mm_unpacklo_epi32(tr0_2, tr0_3);
  const __m128i tr1_5 = _mm_unpacklo_epi32(tr0_6, tr0_7);
  const __m128i tr1_6 = _mm_unpackhi_epi32(tr0_2, tr0_3);
  const __m128i tr1_7 = _mm_unpackhi_epi32(tr0_6, tr0_7);

  res[0] = _mm_unpacklo_epi64(tr1_0, tr1_1);
  res[1] = _mm_unpackhi_epi64(tr1_0, tr1_1);
  res[2] = _mm_unpacklo_epi64(tr1_2, tr1_3);
  res[3] = _mm_unpackhi_epi64(tr1_2, tr1_3);
  res[4] = _mm_unpacklo_epi64(tr1_4, tr1_5);
  res[5] = _mm_unpackhi_epi64(tr1_4, tr1_5);
  res[6] = _mm_unpacklo_epi64(tr1_6, tr1_7);
  res[7] = _mm_unpackhi_epi64(tr1_6, tr1_7);
}

void idct8_1d_sse2(__m128i *in) {
  const __m128i rounding = _mm_set1_epi32(DCT_CONST_ROUNDING);
  const __m128i stg1_0 = pair_set_epi16(cospi_28_64, -cospi_4_64);
  const __m128i stg1_1 = pair_set_epi16(cospi_4_64, cospi_28_64);
  const __m128i stg1_2 = pair_set_epi16(-cospi_20_64, cospi_12_64);
  const __m128i stg1_3 = pair_set_epi16(cospi_12_64, cospi_20_64);
  const __m128i stg2_0 = pair_set_epi16(cospi_16_64, cospi_16_64);
  const __m128i stg2_1 = pair_set_epi16(cospi_16_64, -cospi_16_64);
  const __m128i stg2_2 = pair_set_epi16(cospi_24_64, -cospi_8_64);
  const __m128i stg2_3 = pair_set_epi16(cospi_8_64, cospi_24_64);

  __m128i in0, in1, in2, in3, in4, in5, in6, in7;
  __m128i stp1_0, stp1_1, stp1_2, stp1_3, stp1_4, stp1_5, stp1_6, stp1_7;
  __m128i stp2_0, stp2_1, stp2_2, stp2_3, stp2_4, stp2_5, stp2_6, stp2_7;
  __m128i tmp0, tmp1, tmp2, tmp3, tmp4, tmp5, tmp6, tmp7;

  in0 = in[0];
  in1 = in[1];
  in2 = in[2];
  in3 = in[3];
  in4 = in[4];
  in5 = in[5];
  in6 = in[6];
  in7 = in[7];

  // 8x8 Transpose is copied from vp9_short_fdct8x8_sse2()
  TRANSPOSE_8X8(in0, in1, in2, in3, in4, in5, in6, in7, in0, in1, in2, in3,
                in4, in5, in6, in7);

  // 4-stage 1D idct8x8
  IDCT8x8_1D
  in[0] = in0;
  in[1] = in1;
  in[2] = in2;
  in[3] = in3;
  in[4] = in4;
  in[5] = in5;
  in[6] = in6;
  in[7] = in7;
}

void iadst8_1d_sse2(__m128i *in) {
  const __m128i k__cospi_p02_p30 = pair_set_epi16(cospi_2_64, cospi_30_64);
  const __m128i k__cospi_p30_m02 = pair_set_epi16(cospi_30_64, -cospi_2_64);
  const __m128i k__cospi_p10_p22 = pair_set_epi16(cospi_10_64, cospi_22_64);
  const __m128i k__cospi_p22_m10 = pair_set_epi16(cospi_22_64, -cospi_10_64);
  const __m128i k__cospi_p18_p14 = pair_set_epi16(cospi_18_64, cospi_14_64);
  const __m128i k__cospi_p14_m18 = pair_set_epi16(cospi_14_64, -cospi_18_64);
  const __m128i k__cospi_p26_p06 = pair_set_epi16(cospi_26_64, cospi_6_64);
  const __m128i k__cospi_p06_m26 = pair_set_epi16(cospi_6_64, -cospi_26_64);
  const __m128i k__cospi_p08_p24 = pair_set_epi16(cospi_8_64, cospi_24_64);
  const __m128i k__cospi_p24_m08 = pair_set_epi16(cospi_24_64, -cospi_8_64);
  const __m128i k__cospi_m24_p08 = pair_set_epi16(-cospi_24_64, cospi_8_64);
  const __m128i k__cospi_p16_m16 = pair_set_epi16(cospi_16_64, -cospi_16_64);
  const __m128i k__cospi_p16_p16 = _mm_set1_epi16(cospi_16_64);
  const __m128i k__const_0 = _mm_set1_epi16(0);
  const __m128i k__DCT_CONST_ROUNDING = _mm_set1_epi32(DCT_CONST_ROUNDING);

  __m128i u0, u1, u2, u3, u4, u5, u6, u7, u8, u9, u10, u11, u12, u13, u14, u15;
  __m128i v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15;
  __m128i w0, w1, w2, w3, w4, w5, w6, w7, w8, w9, w10, w11, w12, w13, w14, w15;
  __m128i s0, s1, s2, s3, s4, s5, s6, s7;
  __m128i in0, in1, in2, in3, in4, in5, in6, in7;

  // transpose
  array_transpose_8x8(in, in);

  // properly aligned for butterfly input
  in0  = in[7];
  in1  = in[0];
  in2  = in[5];
  in3  = in[2];
  in4  = in[3];
  in5  = in[4];
  in6  = in[1];
  in7  = in[6];

  // column transformation
  // stage 1
  // interleave and multiply/add into 32-bit integer
  s0 = _mm_unpacklo_epi16(in0, in1);
  s1 = _mm_unpackhi_epi16(in0, in1);
  s2 = _mm_unpacklo_epi16(in2, in3);
  s3 = _mm_unpackhi_epi16(in2, in3);
  s4 = _mm_unpacklo_epi16(in4, in5);
  s5 = _mm_unpackhi_epi16(in4, in5);
  s6 = _mm_unpacklo_epi16(in6, in7);
  s7 = _mm_unpackhi_epi16(in6, in7);

  u0 = _mm_madd_epi16(s0, k__cospi_p02_p30);
  u1 = _mm_madd_epi16(s1, k__cospi_p02_p30);
  u2 = _mm_madd_epi16(s0, k__cospi_p30_m02);
  u3 = _mm_madd_epi16(s1, k__cospi_p30_m02);
  u4 = _mm_madd_epi16(s2, k__cospi_p10_p22);
  u5 = _mm_madd_epi16(s3, k__cospi_p10_p22);
  u6 = _mm_madd_epi16(s2, k__cospi_p22_m10);
  u7 = _mm_madd_epi16(s3, k__cospi_p22_m10);
  u8 = _mm_madd_epi16(s4, k__cospi_p18_p14);
  u9 = _mm_madd_epi16(s5, k__cospi_p18_p14);
  u10 = _mm_madd_epi16(s4, k__cospi_p14_m18);
  u11 = _mm_madd_epi16(s5, k__cospi_p14_m18);
  u12 = _mm_madd_epi16(s6, k__cospi_p26_p06);
  u13 = _mm_madd_epi16(s7, k__cospi_p26_p06);
  u14 = _mm_madd_epi16(s6, k__cospi_p06_m26);
  u15 = _mm_madd_epi16(s7, k__cospi_p06_m26);

  // addition
  w0 = _mm_add_epi32(u0, u8);
  w1 = _mm_add_epi32(u1, u9);
  w2 = _mm_add_epi32(u2, u10);
  w3 = _mm_add_epi32(u3, u11);
  w4 = _mm_add_epi32(u4, u12);
  w5 = _mm_add_epi32(u5, u13);
  w6 = _mm_add_epi32(u6, u14);
  w7 = _mm_add_epi32(u7, u15);
  w8 = _mm_sub_epi32(u0, u8);
  w9 = _mm_sub_epi32(u1, u9);
  w10 = _mm_sub_epi32(u2, u10);
  w11 = _mm_sub_epi32(u3, u11);
  w12 = _mm_sub_epi32(u4, u12);
  w13 = _mm_sub_epi32(u5, u13);
  w14 = _mm_sub_epi32(u6, u14);
  w15 = _mm_sub_epi32(u7, u15);

  // shift and rounding
  v0 = _mm_add_epi32(w0, k__DCT_CONST_ROUNDING);
  v1 = _mm_add_epi32(w1, k__DCT_CONST_ROUNDING);
  v2 = _mm_add_epi32(w2, k__DCT_CONST_ROUNDING);
  v3 = _mm_add_epi32(w3, k__DCT_CONST_ROUNDING);
  v4 = _mm_add_epi32(w4, k__DCT_CONST_ROUNDING);
  v5 = _mm_add_epi32(w5, k__DCT_CONST_ROUNDING);
  v6 = _mm_add_epi32(w6, k__DCT_CONST_ROUNDING);
  v7 = _mm_add_epi32(w7, k__DCT_CONST_ROUNDING);
  v8 = _mm_add_epi32(w8, k__DCT_CONST_ROUNDING);
  v9 = _mm_add_epi32(w9, k__DCT_CONST_ROUNDING);
  v10 = _mm_add_epi32(w10, k__DCT_CONST_ROUNDING);
  v11 = _mm_add_epi32(w11, k__DCT_CONST_ROUNDING);
  v12 = _mm_add_epi32(w12, k__DCT_CONST_ROUNDING);
  v13 = _mm_add_epi32(w13, k__DCT_CONST_ROUNDING);
  v14 = _mm_add_epi32(w14, k__DCT_CONST_ROUNDING);
  v15 = _mm_add_epi32(w15, k__DCT_CONST_ROUNDING);

  u0 = _mm_srai_epi32(v0, DCT_CONST_BITS);
  u1 = _mm_srai_epi32(v1, DCT_CONST_BITS);
  u2 = _mm_srai_epi32(v2, DCT_CONST_BITS);
  u3 = _mm_srai_epi32(v3, DCT_CONST_BITS);
  u4 = _mm_srai_epi32(v4, DCT_CONST_BITS);
  u5 = _mm_srai_epi32(v5, DCT_CONST_BITS);
  u6 = _mm_srai_epi32(v6, DCT_CONST_BITS);
  u7 = _mm_srai_epi32(v7, DCT_CONST_BITS);
  u8 = _mm_srai_epi32(v8, DCT_CONST_BITS);
  u9 = _mm_srai_epi32(v9, DCT_CONST_BITS);
  u10 = _mm_srai_epi32(v10, DCT_CONST_BITS);
  u11 = _mm_srai_epi32(v11, DCT_CONST_BITS);
  u12 = _mm_srai_epi32(v12, DCT_CONST_BITS);
  u13 = _mm_srai_epi32(v13, DCT_CONST_BITS);
  u14 = _mm_srai_epi32(v14, DCT_CONST_BITS);
  u15 = _mm_srai_epi32(v15, DCT_CONST_BITS);

  // back to 16-bit and pack 8 integers into __m128i
  in[0] = _mm_packs_epi32(u0, u1);
  in[1] = _mm_packs_epi32(u2, u3);
  in[2] = _mm_packs_epi32(u4, u5);
  in[3] = _mm_packs_epi32(u6, u7);
  in[4] = _mm_packs_epi32(u8, u9);
  in[5] = _mm_packs_epi32(u10, u11);
  in[6] = _mm_packs_epi32(u12, u13);
  in[7] = _mm_packs_epi32(u14, u15);

  // stage 2
  s0 = _mm_add_epi16(in[0], in[2]);
  s1 = _mm_add_epi16(in[1], in[3]);
  s2 = _mm_sub_epi16(in[0], in[2]);
  s3 = _mm_sub_epi16(in[1], in[3]);
  u0 = _mm_unpacklo_epi16(in[4], in[5]);
  u1 = _mm_unpackhi_epi16(in[4], in[5]);
  u2 = _mm_unpacklo_epi16(in[6], in[7]);
  u3 = _mm_unpackhi_epi16(in[6], in[7]);

  v0 = _mm_madd_epi16(u0, k__cospi_p08_p24);
  v1 = _mm_madd_epi16(u1, k__cospi_p08_p24);
  v2 = _mm_madd_epi16(u0, k__cospi_p24_m08);
  v3 = _mm_madd_epi16(u1, k__cospi_p24_m08);
  v4 = _mm_madd_epi16(u2, k__cospi_m24_p08);
  v5 = _mm_madd_epi16(u3, k__cospi_m24_p08);
  v6 = _mm_madd_epi16(u2, k__cospi_p08_p24);
  v7 = _mm_madd_epi16(u3, k__cospi_p08_p24);

  w0 = _mm_add_epi32(v0, v4);
  w1 = _mm_add_epi32(v1, v5);
  w2 = _mm_add_epi32(v2, v6);
  w3 = _mm_add_epi32(v3, v7);
  w4 = _mm_sub_epi32(v0, v4);
  w5 = _mm_sub_epi32(v1, v5);
  w6 = _mm_sub_epi32(v2, v6);
  w7 = _mm_sub_epi32(v3, v7);

  v0 = _mm_add_epi32(w0, k__DCT_CONST_ROUNDING);
  v1 = _mm_add_epi32(w1, k__DCT_CONST_ROUNDING);
  v2 = _mm_add_epi32(w2, k__DCT_CONST_ROUNDING);
  v3 = _mm_add_epi32(w3, k__DCT_CONST_ROUNDING);
  v4 = _mm_add_epi32(w4, k__DCT_CONST_ROUNDING);
  v5 = _mm_add_epi32(w5, k__DCT_CONST_ROUNDING);
  v6 = _mm_add_epi32(w6, k__DCT_CONST_ROUNDING);
  v7 = _mm_add_epi32(w7, k__DCT_CONST_ROUNDING);

  u0 = _mm_srai_epi32(v0, DCT_CONST_BITS);
  u1 = _mm_srai_epi32(v1, DCT_CONST_BITS);
  u2 = _mm_srai_epi32(v2, DCT_CONST_BITS);
  u3 = _mm_srai_epi32(v3, DCT_CONST_BITS);
  u4 = _mm_srai_epi32(v4, DCT_CONST_BITS);
  u5 = _mm_srai_epi32(v5, DCT_CONST_BITS);
  u6 = _mm_srai_epi32(v6, DCT_CONST_BITS);
  u7 = _mm_srai_epi32(v7, DCT_CONST_BITS);

  // back to 16-bit intergers
  s4 = _mm_packs_epi32(u0, u1);
  s5 = _mm_packs_epi32(u2, u3);
  s6 = _mm_packs_epi32(u4, u5);
  s7 = _mm_packs_epi32(u6, u7);

  // stage 3
  u0 = _mm_unpacklo_epi16(s2, s3);
  u1 = _mm_unpackhi_epi16(s2, s3);
  u2 = _mm_unpacklo_epi16(s6, s7);
  u3 = _mm_unpackhi_epi16(s6, s7);

  v0 = _mm_madd_epi16(u0, k__cospi_p16_p16);
  v1 = _mm_madd_epi16(u1, k__cospi_p16_p16);
  v2 = _mm_madd_epi16(u0, k__cospi_p16_m16);
  v3 = _mm_madd_epi16(u1, k__cospi_p16_m16);
  v4 = _mm_madd_epi16(u2, k__cospi_p16_p16);
  v5 = _mm_madd_epi16(u3, k__cospi_p16_p16);
  v6 = _mm_madd_epi16(u2, k__cospi_p16_m16);
  v7 = _mm_madd_epi16(u3, k__cospi_p16_m16);

  u0 = _mm_add_epi32(v0, k__DCT_CONST_ROUNDING);
  u1 = _mm_add_epi32(v1, k__DCT_CONST_ROUNDING);
  u2 = _mm_add_epi32(v2, k__DCT_CONST_ROUNDING);
  u3 = _mm_add_epi32(v3, k__DCT_CONST_ROUNDING);
  u4 = _mm_add_epi32(v4, k__DCT_CONST_ROUNDING);
  u5 = _mm_add_epi32(v5, k__DCT_CONST_ROUNDING);
  u6 = _mm_add_epi32(v6, k__DCT_CONST_ROUNDING);
  u7 = _mm_add_epi32(v7, k__DCT_CONST_ROUNDING);

  v0 = _mm_srai_epi32(u0, DCT_CONST_BITS);
  v1 = _mm_srai_epi32(u1, DCT_CONST_BITS);
  v2 = _mm_srai_epi32(u2, DCT_CONST_BITS);
  v3 = _mm_srai_epi32(u3, DCT_CONST_BITS);
  v4 = _mm_srai_epi32(u4, DCT_CONST_BITS);
  v5 = _mm_srai_epi32(u5, DCT_CONST_BITS);
  v6 = _mm_srai_epi32(u6, DCT_CONST_BITS);
  v7 = _mm_srai_epi32(u7, DCT_CONST_BITS);

  s2 = _mm_packs_epi32(v0, v1);
  s3 = _mm_packs_epi32(v2, v3);
  s6 = _mm_packs_epi32(v4, v5);
  s7 = _mm_packs_epi32(v6, v7);

  in[0] = s0;
  in[1] = _mm_sub_epi16(k__const_0, s4);
  in[2] = s6;
  in[3] = _mm_sub_epi16(k__const_0, s2);
  in[4] = s3;
  in[5] = _mm_sub_epi16(k__const_0, s7);
  in[6] = s5;
  in[7] = _mm_sub_epi16(k__const_0, s1);
}


void vp9_short_iht8x8_add_sse2(int16_t *input, uint8_t *dest, int stride,
                               int tx_type) {
  __m128i in[8];
  const __m128i zero = _mm_setzero_si128();
  const __m128i final_rounding = _mm_set1_epi16(1<<4);

  // load input data
  in[0] = _mm_load_si128((__m128i *)input);
  in[1] = _mm_load_si128((__m128i *)(input + 8 * 1));
  in[2] = _mm_load_si128((__m128i *)(input + 8 * 2));
  in[3] = _mm_load_si128((__m128i *)(input + 8 * 3));
  in[4] = _mm_load_si128((__m128i *)(input + 8 * 4));
  in[5] = _mm_load_si128((__m128i *)(input + 8 * 5));
  in[6] = _mm_load_si128((__m128i *)(input + 8 * 6));
  in[7] = _mm_load_si128((__m128i *)(input + 8 * 7));

  switch (tx_type) {
    case 0:  // DCT_DCT
      idct8_1d_sse2(in);
      idct8_1d_sse2(in);
      break;
    case 1:  // ADST_DCT
      idct8_1d_sse2(in);
      iadst8_1d_sse2(in);
      break;
    case 2:  // DCT_ADST
      iadst8_1d_sse2(in);
      idct8_1d_sse2(in);
      break;
    case 3:  // ADST_ADST
      iadst8_1d_sse2(in);
      iadst8_1d_sse2(in);
      break;
    default:
      assert(0);
      break;
  }

  // Final rounding and shift
  in[0] = _mm_adds_epi16(in[0], final_rounding);
  in[1] = _mm_adds_epi16(in[1], final_rounding);
  in[2] = _mm_adds_epi16(in[2], final_rounding);
  in[3] = _mm_adds_epi16(in[3], final_rounding);
  in[4] = _mm_adds_epi16(in[4], final_rounding);
  in[5] = _mm_adds_epi16(in[5], final_rounding);
  in[6] = _mm_adds_epi16(in[6], final_rounding);
  in[7] = _mm_adds_epi16(in[7], final_rounding);

  in[0] = _mm_srai_epi16(in[0], 5);
  in[1] = _mm_srai_epi16(in[1], 5);
  in[2] = _mm_srai_epi16(in[2], 5);
  in[3] = _mm_srai_epi16(in[3], 5);
  in[4] = _mm_srai_epi16(in[4], 5);
  in[5] = _mm_srai_epi16(in[5], 5);
  in[6] = _mm_srai_epi16(in[6], 5);
  in[7] = _mm_srai_epi16(in[7], 5);

  RECON_AND_STORE(dest, in[0]);
  RECON_AND_STORE(dest, in[1]);
  RECON_AND_STORE(dest, in[2]);
  RECON_AND_STORE(dest, in[3]);
  RECON_AND_STORE(dest, in[4]);
  RECON_AND_STORE(dest, in[5]);
  RECON_AND_STORE(dest, in[6]);
  RECON_AND_STORE(dest, in[7]);
}

void vp9_short_idct10_8x8_add_sse2(int16_t *input, uint8_t *dest, int stride) {
  const __m128i zero = _mm_setzero_si128();
  const __m128i rounding = _mm_set1_epi32(DCT_CONST_ROUNDING);
  const __m128i final_rounding = _mm_set1_epi16(1<<4);
  const __m128i stg1_0 = pair_set_epi16(cospi_28_64, -cospi_4_64);
  const __m128i stg1_1 = pair_set_epi16(cospi_4_64, cospi_28_64);
  const __m128i stg1_2 = pair_set_epi16(-cospi_20_64, cospi_12_64);
  const __m128i stg1_3 = pair_set_epi16(cospi_12_64, cospi_20_64);
  const __m128i stg2_0 = pair_set_epi16(cospi_16_64, cospi_16_64);
  const __m128i stg2_1 = pair_set_epi16(cospi_16_64, -cospi_16_64);
  const __m128i stg2_2 = pair_set_epi16(cospi_24_64, -cospi_8_64);
  const __m128i stg2_3 = pair_set_epi16(cospi_8_64, cospi_24_64);
  const __m128i stg3_0 = pair_set_epi16(-cospi_16_64, cospi_16_64);

  __m128i in0, in1, in2, in3, in4, in5, in6, in7;
  __m128i stp1_0, stp1_1, stp1_2, stp1_3, stp1_4, stp1_5, stp1_6, stp1_7;
  __m128i stp2_0, stp2_1, stp2_2, stp2_3, stp2_4, stp2_5, stp2_6, stp2_7;
  __m128i tmp0, tmp1, tmp2, tmp3, tmp4, tmp5, tmp6, tmp7;

  // Rows. Load 4-row input data.
  in0 = _mm_load_si128((__m128i *)input);
  in1 = _mm_load_si128((__m128i *)(input + 8 * 1));
  in2 = _mm_load_si128((__m128i *)(input + 8 * 2));
  in3 = _mm_load_si128((__m128i *)(input + 8 * 3));

  // 8x4 Transpose
  TRANSPOSE_8X4(in0, in1, in2, in3, in0, in1, in2, in3)

  // Stage1
  {
    const __m128i lo_17 = _mm_unpackhi_epi16(in0, in3);
    const __m128i lo_35 = _mm_unpackhi_epi16(in1, in2);

    tmp0 = _mm_madd_epi16(lo_17, stg1_0);
    tmp2 = _mm_madd_epi16(lo_17, stg1_1);
    tmp4 = _mm_madd_epi16(lo_35, stg1_2);
    tmp6 = _mm_madd_epi16(lo_35, stg1_3);

    tmp0 = _mm_add_epi32(tmp0, rounding);
    tmp2 = _mm_add_epi32(tmp2, rounding);
    tmp4 = _mm_add_epi32(tmp4, rounding);
    tmp6 = _mm_add_epi32(tmp6, rounding);
    tmp0 = _mm_srai_epi32(tmp0, DCT_CONST_BITS);
    tmp2 = _mm_srai_epi32(tmp2, DCT_CONST_BITS);
    tmp4 = _mm_srai_epi32(tmp4, DCT_CONST_BITS);
    tmp6 = _mm_srai_epi32(tmp6, DCT_CONST_BITS);

    stp1_4 = _mm_packs_epi32(tmp0, zero);
    stp1_7 = _mm_packs_epi32(tmp2, zero);
    stp1_5 = _mm_packs_epi32(tmp4, zero);
    stp1_6 = _mm_packs_epi32(tmp6, zero);
  }

  // Stage2
  {
    const __m128i lo_04 = _mm_unpacklo_epi16(in0, in2);
    const __m128i lo_26 = _mm_unpacklo_epi16(in1, in3);

    tmp0 = _mm_madd_epi16(lo_04, stg2_0);
    tmp2 = _mm_madd_epi16(lo_04, stg2_1);
    tmp4 = _mm_madd_epi16(lo_26, stg2_2);
    tmp6 = _mm_madd_epi16(lo_26, stg2_3);

    tmp0 = _mm_add_epi32(tmp0, rounding);
    tmp2 = _mm_add_epi32(tmp2, rounding);
    tmp4 = _mm_add_epi32(tmp4, rounding);
    tmp6 = _mm_add_epi32(tmp6, rounding);
    tmp0 = _mm_srai_epi32(tmp0, DCT_CONST_BITS);
    tmp2 = _mm_srai_epi32(tmp2, DCT_CONST_BITS);
    tmp4 = _mm_srai_epi32(tmp4, DCT_CONST_BITS);
    tmp6 = _mm_srai_epi32(tmp6, DCT_CONST_BITS);

    stp2_0 = _mm_packs_epi32(tmp0, zero);
    stp2_1 = _mm_packs_epi32(tmp2, zero);
    stp2_2 = _mm_packs_epi32(tmp4, zero);
    stp2_3 = _mm_packs_epi32(tmp6, zero);

    stp2_4 = _mm_adds_epi16(stp1_4, stp1_5);
    stp2_5 = _mm_subs_epi16(stp1_4, stp1_5);
    stp2_6 = _mm_subs_epi16(stp1_7, stp1_6);
    stp2_7 = _mm_adds_epi16(stp1_7, stp1_6);
  }

  // Stage3
  {
    const __m128i lo_56 = _mm_unpacklo_epi16(stp2_5, stp2_6);
    stp1_0 = _mm_adds_epi16(stp2_0, stp2_3);
    stp1_1 = _mm_adds_epi16(stp2_1, stp2_2);
    stp1_2 = _mm_subs_epi16(stp2_1, stp2_2);
    stp1_3 = _mm_subs_epi16(stp2_0, stp2_3);

    tmp0 = _mm_madd_epi16(lo_56, stg3_0);
    tmp2 = _mm_madd_epi16(lo_56, stg2_0);  // stg3_1 = stg2_0

    tmp0 = _mm_add_epi32(tmp0, rounding);
    tmp2 = _mm_add_epi32(tmp2, rounding);
    tmp0 = _mm_srai_epi32(tmp0, DCT_CONST_BITS);
    tmp2 = _mm_srai_epi32(tmp2, DCT_CONST_BITS);

    stp1_5 = _mm_packs_epi32(tmp0, zero);
    stp1_6 = _mm_packs_epi32(tmp2, zero);
  }

  // Stage4
  in0 = _mm_adds_epi16(stp1_0, stp2_7);
  in1 = _mm_adds_epi16(stp1_1, stp1_6);
  in2 = _mm_adds_epi16(stp1_2, stp1_5);
  in3 = _mm_adds_epi16(stp1_3, stp2_4);
  in4 = _mm_subs_epi16(stp1_3, stp2_4);
  in5 = _mm_subs_epi16(stp1_2, stp1_5);
  in6 = _mm_subs_epi16(stp1_1, stp1_6);
  in7 = _mm_subs_epi16(stp1_0, stp2_7);

  // Columns. 4x8 Transpose
  TRANSPOSE_4X8(in0, in1, in2, in3, in4, in5, in6, in7, in0, in1, in2, in3,
                in4, in5, in6, in7)

  // 1D idct8x8
  IDCT8x8_1D

  // Final rounding and shift
  in0 = _mm_adds_epi16(in0, final_rounding);
  in1 = _mm_adds_epi16(in1, final_rounding);
  in2 = _mm_adds_epi16(in2, final_rounding);
  in3 = _mm_adds_epi16(in3, final_rounding);
  in4 = _mm_adds_epi16(in4, final_rounding);
  in5 = _mm_adds_epi16(in5, final_rounding);
  in6 = _mm_adds_epi16(in6, final_rounding);
  in7 = _mm_adds_epi16(in7, final_rounding);

  in0 = _mm_srai_epi16(in0, 5);
  in1 = _mm_srai_epi16(in1, 5);
  in2 = _mm_srai_epi16(in2, 5);
  in3 = _mm_srai_epi16(in3, 5);
  in4 = _mm_srai_epi16(in4, 5);
  in5 = _mm_srai_epi16(in5, 5);
  in6 = _mm_srai_epi16(in6, 5);
  in7 = _mm_srai_epi16(in7, 5);

  RECON_AND_STORE(dest, in0);
  RECON_AND_STORE(dest, in1);
  RECON_AND_STORE(dest, in2);
  RECON_AND_STORE(dest, in3);
  RECON_AND_STORE(dest, in4);
  RECON_AND_STORE(dest, in5);
  RECON_AND_STORE(dest, in6);
  RECON_AND_STORE(dest, in7);
}

#define IDCT16x16_1D \
  /* Stage2 */ \
  { \
    const __m128i lo_1_15 = _mm_unpacklo_epi16(in1, in15); \
    const __m128i hi_1_15 = _mm_unpackhi_epi16(in1, in15); \
    const __m128i lo_9_7 = _mm_unpacklo_epi16(in9, in7);   \
    const __m128i hi_9_7 = _mm_unpackhi_epi16(in9, in7);   \
    const __m128i lo_5_11 = _mm_unpacklo_epi16(in5, in11); \
    const __m128i hi_5_11 = _mm_unpackhi_epi16(in5, in11); \
    const __m128i lo_13_3 = _mm_unpacklo_epi16(in13, in3); \
    const __m128i hi_13_3 = _mm_unpackhi_epi16(in13, in3); \
    \
    MULTIPLICATION_AND_ADD(lo_1_15, hi_1_15, lo_9_7, hi_9_7, \
                           stg2_0, stg2_1, stg2_2, stg2_3, \
                           stp2_8, stp2_15, stp2_9, stp2_14) \
    \
    MULTIPLICATION_AND_ADD(lo_5_11, hi_5_11, lo_13_3, hi_13_3, \
                           stg2_4, stg2_5, stg2_6, stg2_7, \
                           stp2_10, stp2_13, stp2_11, stp2_12) \
  } \
    \
  /* Stage3 */ \
  { \
    const __m128i lo_2_14 = _mm_unpacklo_epi16(in2, in14); \
    const __m128i hi_2_14 = _mm_unpackhi_epi16(in2, in14); \
    const __m128i lo_10_6 = _mm_unpacklo_epi16(in10, in6); \
    const __m128i hi_10_6 = _mm_unpackhi_epi16(in10, in6); \
    \
    MULTIPLICATION_AND_ADD(lo_2_14, hi_2_14, lo_10_6, hi_10_6, \
                           stg3_0, stg3_1, stg3_2, stg3_3, \
                           stp1_4, stp1_7, stp1_5, stp1_6) \
    \
    stp1_8_0 = _mm_add_epi16(stp2_8, stp2_9);  \
    stp1_9 = _mm_sub_epi16(stp2_8, stp2_9);    \
    stp1_10 = _mm_sub_epi16(stp2_11, stp2_10); \
    stp1_11 = _mm_add_epi16(stp2_11, stp2_10); \
    \
    stp1_12_0 = _mm_add_epi16(stp2_12, stp2_13); \
    stp1_13 = _mm_sub_epi16(stp2_12, stp2_13); \
    stp1_14 = _mm_sub_epi16(stp2_15, stp2_14); \
    stp1_15 = _mm_add_epi16(stp2_15, stp2_14); \
  } \
  \
  /* Stage4 */ \
  { \
    const __m128i lo_0_8 = _mm_unpacklo_epi16(in0, in8); \
    const __m128i hi_0_8 = _mm_unpackhi_epi16(in0, in8); \
    const __m128i lo_4_12 = _mm_unpacklo_epi16(in4, in12); \
    const __m128i hi_4_12 = _mm_unpackhi_epi16(in4, in12); \
    \
    const __m128i lo_9_14 = _mm_unpacklo_epi16(stp1_9, stp1_14); \
    const __m128i hi_9_14 = _mm_unpackhi_epi16(stp1_9, stp1_14); \
    const __m128i lo_10_13 = _mm_unpacklo_epi16(stp1_10, stp1_13); \
    const __m128i hi_10_13 = _mm_unpackhi_epi16(stp1_10, stp1_13); \
    \
    MULTIPLICATION_AND_ADD(lo_0_8, hi_0_8, lo_4_12, hi_4_12, \
                           stg4_0, stg4_1, stg4_2, stg4_3, \
                           stp2_0, stp2_1, stp2_2, stp2_3) \
    \
    stp2_4 = _mm_add_epi16(stp1_4, stp1_5); \
    stp2_5 = _mm_sub_epi16(stp1_4, stp1_5); \
    stp2_6 = _mm_sub_epi16(stp1_7, stp1_6); \
    stp2_7 = _mm_add_epi16(stp1_7, stp1_6); \
    \
    MULTIPLICATION_AND_ADD(lo_9_14, hi_9_14, lo_10_13, hi_10_13, \
                           stg4_4, stg4_5, stg4_6, stg4_7, \
                           stp2_9, stp2_14, stp2_10, stp2_13) \
  } \
    \
  /* Stage5 */ \
  { \
    const __m128i lo_6_5 = _mm_unpacklo_epi16(stp2_6, stp2_5); \
    const __m128i hi_6_5 = _mm_unpackhi_epi16(stp2_6, stp2_5); \
    \
    stp1_0 = _mm_add_epi16(stp2_0, stp2_3); \
    stp1_1 = _mm_add_epi16(stp2_1, stp2_2); \
    stp1_2 = _mm_sub_epi16(stp2_1, stp2_2); \
    stp1_3 = _mm_sub_epi16(stp2_0, stp2_3); \
    \
    tmp0 = _mm_madd_epi16(lo_6_5, stg4_1); \
    tmp1 = _mm_madd_epi16(hi_6_5, stg4_1); \
    tmp2 = _mm_madd_epi16(lo_6_5, stg4_0); \
    tmp3 = _mm_madd_epi16(hi_6_5, stg4_0); \
    \
    tmp0 = _mm_add_epi32(tmp0, rounding); \
    tmp1 = _mm_add_epi32(tmp1, rounding); \
    tmp2 = _mm_add_epi32(tmp2, rounding); \
    tmp3 = _mm_add_epi32(tmp3, rounding); \
    \
    tmp0 = _mm_srai_epi32(tmp0, DCT_CONST_BITS); \
    tmp1 = _mm_srai_epi32(tmp1, DCT_CONST_BITS); \
    tmp2 = _mm_srai_epi32(tmp2, DCT_CONST_BITS); \
    tmp3 = _mm_srai_epi32(tmp3, DCT_CONST_BITS); \
    \
    stp1_5 = _mm_packs_epi32(tmp0, tmp1); \
    stp1_6 = _mm_packs_epi32(tmp2, tmp3); \
    \
    stp1_8 = _mm_add_epi16(stp1_8_0, stp1_11);  \
    stp1_9 = _mm_add_epi16(stp2_9, stp2_10);    \
    stp1_10 = _mm_sub_epi16(stp2_9, stp2_10);   \
    stp1_11 = _mm_sub_epi16(stp1_8_0, stp1_11); \
    \
    stp1_12 = _mm_sub_epi16(stp1_15, stp1_12_0); \
    stp1_13 = _mm_sub_epi16(stp2_14, stp2_13);   \
    stp1_14 = _mm_add_epi16(stp2_14, stp2_13);   \
    stp1_15 = _mm_add_epi16(stp1_15, stp1_12_0); \
  } \
    \
  /* Stage6 */ \
  { \
    const __m128i lo_10_13 = _mm_unpacklo_epi16(stp1_10, stp1_13); \
    const __m128i hi_10_13 = _mm_unpackhi_epi16(stp1_10, stp1_13); \
    const __m128i lo_11_12 = _mm_unpacklo_epi16(stp1_11, stp1_12); \
    const __m128i hi_11_12 = _mm_unpackhi_epi16(stp1_11, stp1_12); \
    \
    stp2_0 = _mm_add_epi16(stp1_0, stp2_7); \
    stp2_1 = _mm_add_epi16(stp1_1, stp1_6); \
    stp2_2 = _mm_add_epi16(stp1_2, stp1_5); \
    stp2_3 = _mm_add_epi16(stp1_3, stp2_4); \
    stp2_4 = _mm_sub_epi16(stp1_3, stp2_4); \
    stp2_5 = _mm_sub_epi16(stp1_2, stp1_5); \
    stp2_6 = _mm_sub_epi16(stp1_1, stp1_6); \
    stp2_7 = _mm_sub_epi16(stp1_0, stp2_7); \
    \
    MULTIPLICATION_AND_ADD(lo_10_13, hi_10_13, lo_11_12, hi_11_12, \
                           stg6_0, stg4_0, stg6_0, stg4_0, \
                           stp2_10, stp2_13, stp2_11, stp2_12) \
  }

void vp9_short_idct16x16_add_sse2(int16_t *input, uint8_t *dest, int stride) {
  const __m128i rounding = _mm_set1_epi32(DCT_CONST_ROUNDING);
  const __m128i final_rounding = _mm_set1_epi16(1<<5);
  const __m128i zero = _mm_setzero_si128();

  const __m128i stg2_0 = pair_set_epi16(cospi_30_64, -cospi_2_64);
  const __m128i stg2_1 = pair_set_epi16(cospi_2_64, cospi_30_64);
  const __m128i stg2_2 = pair_set_epi16(cospi_14_64, -cospi_18_64);
  const __m128i stg2_3 = pair_set_epi16(cospi_18_64, cospi_14_64);
  const __m128i stg2_4 = pair_set_epi16(cospi_22_64, -cospi_10_64);
  const __m128i stg2_5 = pair_set_epi16(cospi_10_64, cospi_22_64);
  const __m128i stg2_6 = pair_set_epi16(cospi_6_64, -cospi_26_64);
  const __m128i stg2_7 = pair_set_epi16(cospi_26_64, cospi_6_64);

  const __m128i stg3_0 = pair_set_epi16(cospi_28_64, -cospi_4_64);
  const __m128i stg3_1 = pair_set_epi16(cospi_4_64, cospi_28_64);
  const __m128i stg3_2 = pair_set_epi16(cospi_12_64, -cospi_20_64);
  const __m128i stg3_3 = pair_set_epi16(cospi_20_64, cospi_12_64);

  const __m128i stg4_0 = pair_set_epi16(cospi_16_64, cospi_16_64);
  const __m128i stg4_1 = pair_set_epi16(cospi_16_64, -cospi_16_64);
  const __m128i stg4_2 = pair_set_epi16(cospi_24_64, -cospi_8_64);
  const __m128i stg4_3 = pair_set_epi16(cospi_8_64, cospi_24_64);
  const __m128i stg4_4 = pair_set_epi16(-cospi_8_64, cospi_24_64);
  const __m128i stg4_5 = pair_set_epi16(cospi_24_64, cospi_8_64);
  const __m128i stg4_6 = pair_set_epi16(-cospi_24_64, -cospi_8_64);
  const __m128i stg4_7 = pair_set_epi16(-cospi_8_64, cospi_24_64);

  const __m128i stg6_0 = pair_set_epi16(-cospi_16_64, cospi_16_64);

  __m128i in0 = zero, in1 = zero, in2 = zero, in3 = zero, in4 = zero,
          in5 = zero, in6 = zero, in7 = zero, in8 = zero, in9 = zero,
          in10 = zero, in11 = zero, in12 = zero, in13 = zero,
          in14 = zero, in15 = zero;
  __m128i l0 = zero, l1 = zero, l2 = zero, l3 = zero, l4 = zero, l5 = zero,
          l6 = zero, l7 = zero, l8 = zero, l9 = zero, l10 = zero, l11 = zero,
          l12 = zero, l13 = zero, l14 = zero, l15 = zero;
  __m128i r0 = zero, r1 = zero, r2 = zero, r3 = zero, r4 = zero, r5 = zero,
          r6 = zero, r7 = zero, r8 = zero, r9 = zero, r10 = zero, r11 = zero,
          r12 = zero, r13 = zero, r14 = zero, r15 = zero;
  __m128i stp1_0, stp1_1, stp1_2, stp1_3, stp1_4, stp1_5, stp1_6, stp1_7,
          stp1_8, stp1_9, stp1_10, stp1_11, stp1_12, stp1_13, stp1_14, stp1_15,
          stp1_8_0, stp1_12_0;
  __m128i stp2_0, stp2_1, stp2_2, stp2_3, stp2_4, stp2_5, stp2_6, stp2_7,
          stp2_8, stp2_9, stp2_10, stp2_11, stp2_12, stp2_13, stp2_14, stp2_15;
  __m128i tmp0, tmp1, tmp2, tmp3, tmp4, tmp5, tmp6, tmp7;
  int i;

  // We work on a 8x16 block each time, and loop 4 times for 2-D 16x16 idct.
  for (i = 0; i < 4; i++) {
    // 1-D idct
    if (i < 2) {
      if (i == 1) input += 128;

      // Load input data.
      in0 = _mm_load_si128((__m128i *)input);
      in8 = _mm_load_si128((__m128i *)(input + 8 * 1));
      in1 = _mm_load_si128((__m128i *)(input + 8 * 2));
      in9 = _mm_load_si128((__m128i *)(input + 8 * 3));
      in2 = _mm_load_si128((__m128i *)(input + 8 * 4));
      in10 = _mm_load_si128((__m128i *)(input + 8 * 5));
      in3 = _mm_load_si128((__m128i *)(input + 8 * 6));
      in11 = _mm_load_si128((__m128i *)(input + 8 * 7));
      in4 = _mm_load_si128((__m128i *)(input + 8 * 8));
      in12 = _mm_load_si128((__m128i *)(input + 8 * 9));
      in5 = _mm_load_si128((__m128i *)(input + 8 * 10));
      in13 = _mm_load_si128((__m128i *)(input + 8 * 11));
      in6 = _mm_load_si128((__m128i *)(input + 8 * 12));
      in14 = _mm_load_si128((__m128i *)(input + 8 * 13));
      in7 = _mm_load_si128((__m128i *)(input + 8 * 14));
      in15 = _mm_load_si128((__m128i *)(input + 8 * 15));

      TRANSPOSE_8X8(in0, in1, in2, in3, in4, in5, in6, in7, in0, in1, in2, in3,
                    in4, in5, in6, in7);
      TRANSPOSE_8X8(in8, in9, in10, in11, in12, in13, in14, in15, in8, in9,
                    in10, in11, in12, in13, in14, in15);
    }

    if (i == 2) {
      TRANSPOSE_8X8(l0, l1, l2, l3, l4, l5, l6, l7, in0, in1, in2, in3, in4,
                    in5, in6, in7);
      TRANSPOSE_8X8(r0, r1, r2, r3, r4, r5, r6, r7, in8, in9, in10, in11, in12,
                    in13, in14, in15);
    }

    if (i == 3) {
      TRANSPOSE_8X8(l8, l9, l10, l11, l12, l13, l14, l15, in0, in1, in2, in3,
                    in4, in5, in6, in7);
      TRANSPOSE_8X8(r8, r9, r10, r11, r12, r13, r14, r15, in8, in9, in10, in11,
                    in12, in13, in14, in15);
    }

    IDCT16x16_1D

    // Stage7
    if (i == 0) {
      // Left 8x16
      l0 = _mm_add_epi16(stp2_0, stp1_15);
      l1 = _mm_add_epi16(stp2_1, stp1_14);
      l2 = _mm_add_epi16(stp2_2, stp2_13);
      l3 = _mm_add_epi16(stp2_3, stp2_12);
      l4 = _mm_add_epi16(stp2_4, stp2_11);
      l5 = _mm_add_epi16(stp2_5, stp2_10);
      l6 = _mm_add_epi16(stp2_6, stp1_9);
      l7 = _mm_add_epi16(stp2_7, stp1_8);
      l8 = _mm_sub_epi16(stp2_7, stp1_8);
      l9 = _mm_sub_epi16(stp2_6, stp1_9);
      l10 = _mm_sub_epi16(stp2_5, stp2_10);
      l11 = _mm_sub_epi16(stp2_4, stp2_11);
      l12 = _mm_sub_epi16(stp2_3, stp2_12);
      l13 = _mm_sub_epi16(stp2_2, stp2_13);
      l14 = _mm_sub_epi16(stp2_1, stp1_14);
      l15 = _mm_sub_epi16(stp2_0, stp1_15);
    } else if (i == 1) {
      // Right 8x16
      r0 = _mm_add_epi16(stp2_0, stp1_15);
      r1 = _mm_add_epi16(stp2_1, stp1_14);
      r2 = _mm_add_epi16(stp2_2, stp2_13);
      r3 = _mm_add_epi16(stp2_3, stp2_12);
      r4 = _mm_add_epi16(stp2_4, stp2_11);
      r5 = _mm_add_epi16(stp2_5, stp2_10);
      r6 = _mm_add_epi16(stp2_6, stp1_9);
      r7 = _mm_add_epi16(stp2_7, stp1_8);
      r8 = _mm_sub_epi16(stp2_7, stp1_8);
      r9 = _mm_sub_epi16(stp2_6, stp1_9);
      r10 = _mm_sub_epi16(stp2_5, stp2_10);
      r11 = _mm_sub_epi16(stp2_4, stp2_11);
      r12 = _mm_sub_epi16(stp2_3, stp2_12);
      r13 = _mm_sub_epi16(stp2_2, stp2_13);
      r14 = _mm_sub_epi16(stp2_1, stp1_14);
      r15 = _mm_sub_epi16(stp2_0, stp1_15);
    } else {
      // 2-D
      in0 = _mm_add_epi16(stp2_0, stp1_15);
      in1 = _mm_add_epi16(stp2_1, stp1_14);
      in2 = _mm_add_epi16(stp2_2, stp2_13);
      in3 = _mm_add_epi16(stp2_3, stp2_12);
      in4 = _mm_add_epi16(stp2_4, stp2_11);
      in5 = _mm_add_epi16(stp2_5, stp2_10);
      in6 = _mm_add_epi16(stp2_6, stp1_9);
      in7 = _mm_add_epi16(stp2_7, stp1_8);
      in8 = _mm_sub_epi16(stp2_7, stp1_8);
      in9 = _mm_sub_epi16(stp2_6, stp1_9);
      in10 = _mm_sub_epi16(stp2_5, stp2_10);
      in11 = _mm_sub_epi16(stp2_4, stp2_11);
      in12 = _mm_sub_epi16(stp2_3, stp2_12);
      in13 = _mm_sub_epi16(stp2_2, stp2_13);
      in14 = _mm_sub_epi16(stp2_1, stp1_14);
      in15 = _mm_sub_epi16(stp2_0, stp1_15);

      // Final rounding and shift
      in0 = _mm_adds_epi16(in0, final_rounding);
      in1 = _mm_adds_epi16(in1, final_rounding);
      in2 = _mm_adds_epi16(in2, final_rounding);
      in3 = _mm_adds_epi16(in3, final_rounding);
      in4 = _mm_adds_epi16(in4, final_rounding);
      in5 = _mm_adds_epi16(in5, final_rounding);
      in6 = _mm_adds_epi16(in6, final_rounding);
      in7 = _mm_adds_epi16(in7, final_rounding);
      in8 = _mm_adds_epi16(in8, final_rounding);
      in9 = _mm_adds_epi16(in9, final_rounding);
      in10 = _mm_adds_epi16(in10, final_rounding);
      in11 = _mm_adds_epi16(in11, final_rounding);
      in12 = _mm_adds_epi16(in12, final_rounding);
      in13 = _mm_adds_epi16(in13, final_rounding);
      in14 = _mm_adds_epi16(in14, final_rounding);
      in15 = _mm_adds_epi16(in15, final_rounding);

      in0 = _mm_srai_epi16(in0, 6);
      in1 = _mm_srai_epi16(in1, 6);
      in2 = _mm_srai_epi16(in2, 6);
      in3 = _mm_srai_epi16(in3, 6);
      in4 = _mm_srai_epi16(in4, 6);
      in5 = _mm_srai_epi16(in5, 6);
      in6 = _mm_srai_epi16(in6, 6);
      in7 = _mm_srai_epi16(in7, 6);
      in8 = _mm_srai_epi16(in8, 6);
      in9 = _mm_srai_epi16(in9, 6);
      in10 = _mm_srai_epi16(in10, 6);
      in11 = _mm_srai_epi16(in11, 6);
      in12 = _mm_srai_epi16(in12, 6);
      in13 = _mm_srai_epi16(in13, 6);
      in14 = _mm_srai_epi16(in14, 6);
      in15 = _mm_srai_epi16(in15, 6);

      RECON_AND_STORE(dest, in0);
      RECON_AND_STORE(dest, in1);
      RECON_AND_STORE(dest, in2);
      RECON_AND_STORE(dest, in3);
      RECON_AND_STORE(dest, in4);
      RECON_AND_STORE(dest, in5);
      RECON_AND_STORE(dest, in6);
      RECON_AND_STORE(dest, in7);
      RECON_AND_STORE(dest, in8);
      RECON_AND_STORE(dest, in9);
      RECON_AND_STORE(dest, in10);
      RECON_AND_STORE(dest, in11);
      RECON_AND_STORE(dest, in12);
      RECON_AND_STORE(dest, in13);
      RECON_AND_STORE(dest, in14);
      RECON_AND_STORE(dest, in15);

      dest += 8 - (stride * 16);
    }
  }
}

void vp9_short_idct16x16_1_add_sse2(int16_t *input, uint8_t *dest, int stride) {
  __m128i dc_value;
  const __m128i zero = _mm_setzero_si128();
  int a, i;

  a = dct_const_round_shift(input[0] * cospi_16_64);
  a = dct_const_round_shift(a * cospi_16_64);
  a = ROUND_POWER_OF_TWO(a, 6);

  dc_value = _mm_set1_epi16(a);

  for (i = 0; i < 2; ++i) {
    RECON_AND_STORE(dest, dc_value);
    RECON_AND_STORE(dest, dc_value);
    RECON_AND_STORE(dest, dc_value);
    RECON_AND_STORE(dest, dc_value);
    RECON_AND_STORE(dest, dc_value);
    RECON_AND_STORE(dest, dc_value);
    RECON_AND_STORE(dest, dc_value);
    RECON_AND_STORE(dest, dc_value);
    RECON_AND_STORE(dest, dc_value);
    RECON_AND_STORE(dest, dc_value);
    RECON_AND_STORE(dest, dc_value);
    RECON_AND_STORE(dest, dc_value);
    RECON_AND_STORE(dest, dc_value);
    RECON_AND_STORE(dest, dc_value);
    RECON_AND_STORE(dest, dc_value);
    RECON_AND_STORE(dest, dc_value);
    dest += 8 - (stride * 16);
  }
}

static INLINE void array_transpose_16x16(__m128i *res0, __m128i *res1) {
  __m128i tbuf[8];
  array_transpose_8x8(res0, res0);
  array_transpose_8x8(res1, tbuf);
  array_transpose_8x8(res0 + 8, res1);
  array_transpose_8x8(res1 + 8, res1 + 8);

  res0[8] = tbuf[0];
  res0[9] = tbuf[1];
  res0[10] = tbuf[2];
  res0[11] = tbuf[3];
  res0[12] = tbuf[4];
  res0[13] = tbuf[5];
  res0[14] = tbuf[6];
  res0[15] = tbuf[7];
}

void iadst16_1d_8col(__m128i *in) {
  // perform 16x16 1-D ADST for 8 columns
  __m128i s[16], x[16], u[32], v[32];
  const __m128i k__cospi_p01_p31 = pair_set_epi16(cospi_1_64, cospi_31_64);
  const __m128i k__cospi_p31_m01 = pair_set_epi16(cospi_31_64, -cospi_1_64);
  const __m128i k__cospi_p05_p27 = pair_set_epi16(cospi_5_64, cospi_27_64);
  const __m128i k__cospi_p27_m05 = pair_set_epi16(cospi_27_64, -cospi_5_64);
  const __m128i k__cospi_p09_p23 = pair_set_epi16(cospi_9_64, cospi_23_64);
  const __m128i k__cospi_p23_m09 = pair_set_epi16(cospi_23_64, -cospi_9_64);
  const __m128i k__cospi_p13_p19 = pair_set_epi16(cospi_13_64, cospi_19_64);
  const __m128i k__cospi_p19_m13 = pair_set_epi16(cospi_19_64, -cospi_13_64);
  const __m128i k__cospi_p17_p15 = pair_set_epi16(cospi_17_64, cospi_15_64);
  const __m128i k__cospi_p15_m17 = pair_set_epi16(cospi_15_64, -cospi_17_64);
  const __m128i k__cospi_p21_p11 = pair_set_epi16(cospi_21_64, cospi_11_64);
  const __m128i k__cospi_p11_m21 = pair_set_epi16(cospi_11_64, -cospi_21_64);
  const __m128i k__cospi_p25_p07 = pair_set_epi16(cospi_25_64, cospi_7_64);
  const __m128i k__cospi_p07_m25 = pair_set_epi16(cospi_7_64, -cospi_25_64);
  const __m128i k__cospi_p29_p03 = pair_set_epi16(cospi_29_64, cospi_3_64);
  const __m128i k__cospi_p03_m29 = pair_set_epi16(cospi_3_64, -cospi_29_64);
  const __m128i k__cospi_p04_p28 = pair_set_epi16(cospi_4_64, cospi_28_64);
  const __m128i k__cospi_p28_m04 = pair_set_epi16(cospi_28_64, -cospi_4_64);
  const __m128i k__cospi_p20_p12 = pair_set_epi16(cospi_20_64, cospi_12_64);
  const __m128i k__cospi_p12_m20 = pair_set_epi16(cospi_12_64, -cospi_20_64);
  const __m128i k__cospi_m28_p04 = pair_set_epi16(-cospi_28_64, cospi_4_64);
  const __m128i k__cospi_m12_p20 = pair_set_epi16(-cospi_12_64, cospi_20_64);
  const __m128i k__cospi_p08_p24 = pair_set_epi16(cospi_8_64, cospi_24_64);
  const __m128i k__cospi_p24_m08 = pair_set_epi16(cospi_24_64, -cospi_8_64);
  const __m128i k__cospi_m24_p08 = pair_set_epi16(-cospi_24_64, cospi_8_64);
  const __m128i k__cospi_m16_m16 = _mm_set1_epi16(-cospi_16_64);
  const __m128i k__cospi_p16_p16 = _mm_set1_epi16(cospi_16_64);
  const __m128i k__cospi_p16_m16 = pair_set_epi16(cospi_16_64, -cospi_16_64);
  const __m128i k__cospi_m16_p16 = pair_set_epi16(-cospi_16_64, cospi_16_64);
  const __m128i k__DCT_CONST_ROUNDING = _mm_set1_epi32(DCT_CONST_ROUNDING);
  const __m128i kZero = _mm_set1_epi16(0);

  u[0] = _mm_unpacklo_epi16(in[15], in[0]);
  u[1] = _mm_unpackhi_epi16(in[15], in[0]);
  u[2] = _mm_unpacklo_epi16(in[13], in[2]);
  u[3] = _mm_unpackhi_epi16(in[13], in[2]);
  u[4] = _mm_unpacklo_epi16(in[11], in[4]);
  u[5] = _mm_unpackhi_epi16(in[11], in[4]);
  u[6] = _mm_unpacklo_epi16(in[9], in[6]);
  u[7] = _mm_unpackhi_epi16(in[9], in[6]);
  u[8] = _mm_unpacklo_epi16(in[7], in[8]);
  u[9] = _mm_unpackhi_epi16(in[7], in[8]);
  u[10] = _mm_unpacklo_epi16(in[5], in[10]);
  u[11] = _mm_unpackhi_epi16(in[5], in[10]);
  u[12] = _mm_unpacklo_epi16(in[3], in[12]);
  u[13] = _mm_unpackhi_epi16(in[3], in[12]);
  u[14] = _mm_unpacklo_epi16(in[1], in[14]);
  u[15] = _mm_unpackhi_epi16(in[1], in[14]);

  v[0] = _mm_madd_epi16(u[0], k__cospi_p01_p31);
  v[1] = _mm_madd_epi16(u[1], k__cospi_p01_p31);
  v[2] = _mm_madd_epi16(u[0], k__cospi_p31_m01);
  v[3] = _mm_madd_epi16(u[1], k__cospi_p31_m01);
  v[4] = _mm_madd_epi16(u[2], k__cospi_p05_p27);
  v[5] = _mm_madd_epi16(u[3], k__cospi_p05_p27);
  v[6] = _mm_madd_epi16(u[2], k__cospi_p27_m05);
  v[7] = _mm_madd_epi16(u[3], k__cospi_p27_m05);
  v[8] = _mm_madd_epi16(u[4], k__cospi_p09_p23);
  v[9] = _mm_madd_epi16(u[5], k__cospi_p09_p23);
  v[10] = _mm_madd_epi16(u[4], k__cospi_p23_m09);
  v[11] = _mm_madd_epi16(u[5], k__cospi_p23_m09);
  v[12] = _mm_madd_epi16(u[6], k__cospi_p13_p19);
  v[13] = _mm_madd_epi16(u[7], k__cospi_p13_p19);
  v[14] = _mm_madd_epi16(u[6], k__cospi_p19_m13);
  v[15] = _mm_madd_epi16(u[7], k__cospi_p19_m13);
  v[16] = _mm_madd_epi16(u[8], k__cospi_p17_p15);
  v[17] = _mm_madd_epi16(u[9], k__cospi_p17_p15);
  v[18] = _mm_madd_epi16(u[8], k__cospi_p15_m17);
  v[19] = _mm_madd_epi16(u[9], k__cospi_p15_m17);
  v[20] = _mm_madd_epi16(u[10], k__cospi_p21_p11);
  v[21] = _mm_madd_epi16(u[11], k__cospi_p21_p11);
  v[22] = _mm_madd_epi16(u[10], k__cospi_p11_m21);
  v[23] = _mm_madd_epi16(u[11], k__cospi_p11_m21);
  v[24] = _mm_madd_epi16(u[12], k__cospi_p25_p07);
  v[25] = _mm_madd_epi16(u[13], k__cospi_p25_p07);
  v[26] = _mm_madd_epi16(u[12], k__cospi_p07_m25);
  v[27] = _mm_madd_epi16(u[13], k__cospi_p07_m25);
  v[28] = _mm_madd_epi16(u[14], k__cospi_p29_p03);
  v[29] = _mm_madd_epi16(u[15], k__cospi_p29_p03);
  v[30] = _mm_madd_epi16(u[14], k__cospi_p03_m29);
  v[31] = _mm_madd_epi16(u[15], k__cospi_p03_m29);

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

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

  u[0] = _mm_srai_epi32(v[0], DCT_CONST_BITS);
  u[1] = _mm_srai_epi32(v[1], DCT_CONST_BITS);
  u[2] = _mm_srai_epi32(v[2], DCT_CONST_BITS);
  u[3] = _mm_srai_epi32(v[3], DCT_CONST_BITS);
  u[4] = _mm_srai_epi32(v[4], DCT_CONST_BITS);
  u[5] = _mm_srai_epi32(v[5], DCT_CONST_BITS);
  u[6] = _mm_srai_epi32(v[6], DCT_CONST_BITS);
  u[7] = _mm_srai_epi32(v[7], DCT_CONST_BITS);
  u[8] = _mm_srai_epi32(v[8], DCT_CONST_BITS);
  u[9] = _mm_srai_epi32(v[9], DCT_CONST_BITS);
  u[10] = _mm_srai_epi32(v[10], DCT_CONST_BITS);
  u[11] = _mm_srai_epi32(v[11], DCT_CONST_BITS);
  u[12] = _mm_srai_epi32(v[12], DCT_CONST_BITS);
  u[13] = _mm_srai_epi32(v[13], DCT_CONST_BITS);
  u[14] = _mm_srai_epi32(v[14], DCT_CONST_BITS);
  u[15] = _mm_srai_epi32(v[15], DCT_CONST_BITS);
  u[16] = _mm_srai_epi32(v[16], DCT_CONST_BITS);
  u[17] = _mm_srai_epi32(v[17], DCT_CONST_BITS);
  u[18] = _mm_srai_epi32(v[18], DCT_CONST_BITS);
  u[19] = _mm_srai_epi32(v[19], DCT_CONST_BITS);
  u[20] = _mm_srai_epi32(v[20], DCT_CONST_BITS);
  u[21] = _mm_srai_epi32(v[21], DCT_CONST_BITS);
  u[22] = _mm_srai_epi32(v[22], DCT_CONST_BITS);
  u[23] = _mm_srai_epi32(v[23], DCT_CONST_BITS);
  u[24] = _mm_srai_epi32(v[24], DCT_CONST_BITS);
  u[25] = _mm_srai_epi32(v[25], DCT_CONST_BITS);
  u[26] = _mm_srai_epi32(v[26], DCT_CONST_BITS);
  u[27] = _mm_srai_epi32(v[27], DCT_CONST_BITS);
  u[28] = _mm_srai_epi32(v[28], DCT_CONST_BITS);
  u[29] = _mm_srai_epi32(v[29], DCT_CONST_BITS);
  u[30] = _mm_srai_epi32(v[30], DCT_CONST_BITS);
  u[31] = _mm_srai_epi32(v[31], DCT_CONST_BITS);

  s[0] = _mm_packs_epi32(u[0], u[1]);
  s[1] = _mm_packs_epi32(u[2], u[3]);
  s[2] = _mm_packs_epi32(u[4], u[5]);
  s[3] = _mm_packs_epi32(u[6], u[7]);
  s[4] = _mm_packs_epi32(u[8], u[9]);
  s[5] = _mm_packs_epi32(u[10], u[11]);
  s[6] = _mm_packs_epi32(u[12], u[13]);
  s[7] = _mm_packs_epi32(u[14], u[15]);
  s[8] = _mm_packs_epi32(u[16], u[17]);
  s[9] = _mm_packs_epi32(u[18], u[19]);
  s[10] = _mm_packs_epi32(u[20], u[21]);
  s[11] = _mm_packs_epi32(u[22], u[23]);
  s[12] = _mm_packs_epi32(u[24], u[25]);
  s[13] = _mm_packs_epi32(u[26], u[27]);
  s[14] = _mm_packs_epi32(u[28], u[29]);
  s[15] = _mm_packs_epi32(u[30], u[31]);

  // stage 2
  u[0] = _mm_unpacklo_epi16(s[8], s[9]);
  u[1] = _mm_unpackhi_epi16(s[8], s[9]);
  u[2] = _mm_unpacklo_epi16(s[10], s[11]);
  u[3] = _mm_unpackhi_epi16(s[10], s[11]);
  u[4] = _mm_unpacklo_epi16(s[12], s[13]);
  u[5] = _mm_unpackhi_epi16(s[12], s[13]);
  u[6] = _mm_unpacklo_epi16(s[14], s[15]);
  u[7] = _mm_unpackhi_epi16(s[14], s[15]);

  v[0] = _mm_madd_epi16(u[0], k__cospi_p04_p28);
  v[1] = _mm_madd_epi16(u[1], k__cospi_p04_p28);
  v[2] = _mm_madd_epi16(u[0], k__cospi_p28_m04);
  v[3] = _mm_madd_epi16(u[1], k__cospi_p28_m04);
  v[4] = _mm_madd_epi16(u[2], k__cospi_p20_p12);
  v[5] = _mm_madd_epi16(u[3], k__cospi_p20_p12);
  v[6] = _mm_madd_epi16(u[2], k__cospi_p12_m20);
  v[7] = _mm_madd_epi16(u[3], k__cospi_p12_m20);
  v[8] = _mm_madd_epi16(u[4], k__cospi_m28_p04);
  v[9] = _mm_madd_epi16(u[5], k__cospi_m28_p04);
  v[10] = _mm_madd_epi16(u[4], k__cospi_p04_p28);
  v[11] = _mm_madd_epi16(u[5], k__cospi_p04_p28);
  v[12] = _mm_madd_epi16(u[6], k__cospi_m12_p20);
  v[13] = _mm_madd_epi16(u[7], k__cospi_m12_p20);
  v[14] = _mm_madd_epi16(u[6], k__cospi_p20_p12);
  v[15] = _mm_madd_epi16(u[7], k__cospi_p20_p12);

  u[0] = _mm_add_epi32(v[0], v[8]);
  u[1] = _mm_add_epi32(v[1], v[9]);
  u[2] = _mm_add_epi32(v[2], v[10]);
  u[3] = _mm_add_epi32(v[3], v[11]);
  u[4] = _mm_add_epi32(v[4], v[12]);
  u[5] = _mm_add_epi32(v[5], v[13]);
  u[6] = _mm_add_epi32(v[6], v[14]);
  u[7] = _mm_add_epi32(v[7], v[15]);
  u[8] = _mm_sub_epi32(v[0], v[8]);
  u[9] = _mm_sub_epi32(v[1], v[9]);
  u[10] = _mm_sub_epi32(v[2], v[10]);
  u[11] = _mm_sub_epi32(v[3], v[11]);
  u[12] = _mm_sub_epi32(v[4], v[12]);
  u[13] = _mm_sub_epi32(v[5], v[13]);
  u[14] = _mm_sub_epi32(v[6], v[14]);
  u[15] = _mm_sub_epi32(v[7], v[15]);

  v[0] = _mm_add_epi32(u[0], k__DCT_CONST_ROUNDING);
  v[1] = _mm_add_epi32(u[1], k__DCT_CONST_ROUNDING);
  v[2] = _mm_add_epi32(u[2], k__DCT_CONST_ROUNDING);
  v[3] = _mm_add_epi32(u[3], k__DCT_CONST_ROUNDING);
  v[4] = _mm_add_epi32(u[4], k__DCT_CONST_ROUNDING);
  v[5] = _mm_add_epi32(u[5], k__DCT_CONST_ROUNDING);
  v[6] = _mm_add_epi32(u[6], k__DCT_CONST_ROUNDING);
  v[7] = _mm_add_epi32(u[7], k__DCT_CONST_ROUNDING);
  v[8] = _mm_add_epi32(u[8], k__DCT_CONST_ROUNDING);
  v[9] = _mm_add_epi32(u[9], k__DCT_CONST_ROUNDING);
  v[10] = _mm_add_epi32(u[10], k__DCT_CONST_ROUNDING);
  v[11] = _mm_add_epi32(u[11], k__DCT_CONST_ROUNDING);
  v[12] = _mm_add_epi32(u[12], k__DCT_CONST_ROUNDING);
  v[13] = _mm_add_epi32(u[13], k__DCT_CONST_ROUNDING);
  v[14] = _mm_add_epi32(u[14], k__DCT_CONST_ROUNDING);
  v[15] = _mm_add_epi32(u[15], k__DCT_CONST_ROUNDING);

  u[0] = _mm_srai_epi32(v[0], DCT_CONST_BITS);
  u[1] = _mm_srai_epi32(v[1], DCT_CONST_BITS);
  u[2] = _mm_srai_epi32(v[2], DCT_CONST_BITS);
  u[3] = _mm_srai_epi32(v[3], DCT_CONST_BITS);
  u[4] = _mm_srai_epi32(v[4], DCT_CONST_BITS);
  u[5] = _mm_srai_epi32(v[5], DCT_CONST_BITS);
  u[6] = _mm_srai_epi32(v[6], DCT_CONST_BITS);
  u[7] = _mm_srai_epi32(v[7], DCT_CONST_BITS);
  u[8] = _mm_srai_epi32(v[8], DCT_CONST_BITS);
  u[9] = _mm_srai_epi32(v[9], DCT_CONST_BITS);
  u[10] = _mm_srai_epi32(v[10], DCT_CONST_BITS);
  u[11] = _mm_srai_epi32(v[11], DCT_CONST_BITS);
  u[12] = _mm_srai_epi32(v[12], DCT_CONST_BITS);
  u[13] = _mm_srai_epi32(v[13], DCT_CONST_BITS);
  u[14] = _mm_srai_epi32(v[14], DCT_CONST_BITS);
  u[15] = _mm_srai_epi32(v[15], DCT_CONST_BITS);

  x[0] = _mm_add_epi16(s[0], s[4]);
  x[1] = _mm_add_epi16(s[1], s[5]);
  x[2] = _mm_add_epi16(s[2], s[6]);
  x[3] = _mm_add_epi16(s[3], s[7]);
  x[4] = _mm_sub_epi16(s[0], s[4]);
  x[5] = _mm_sub_epi16(s[1], s[5]);
  x[6] = _mm_sub_epi16(s[2], s[6]);
  x[7] = _mm_sub_epi16(s[3], s[7]);
  x[8] = _mm_packs_epi32(u[0], u[1]);
  x[9] = _mm_packs_epi32(u[2], u[3]);
  x[10] = _mm_packs_epi32(u[4], u[5]);
  x[11] = _mm_packs_epi32(u[6], u[7]);
  x[12] = _mm_packs_epi32(u[8], u[9]);
  x[13] = _mm_packs_epi32(u[10], u[11]);
  x[14] = _mm_packs_epi32(u[12], u[13]);
  x[15] = _mm_packs_epi32(u[14], u[15]);

  // stage 3
  u[0] = _mm_unpacklo_epi16(x[4], x[5]);
  u[1] = _mm_unpackhi_epi16(x[4], x[5]);
  u[2] = _mm_unpacklo_epi16(x[6], x[7]);
  u[3] = _mm_unpackhi_epi16(x[6], x[7]);
  u[4] = _mm_unpacklo_epi16(x[12], x[13]);
  u[5] = _mm_unpackhi_epi16(x[12], x[13]);
  u[6] = _mm_unpacklo_epi16(x[14], x[15]);
  u[7] = _mm_unpackhi_epi16(x[14], x[15]);

  v[0] = _mm_madd_epi16(u[0], k__cospi_p08_p24);
  v[1] = _mm_madd_epi16(u[1], k__cospi_p08_p24);
  v[2] = _mm_madd_epi16(u[0], k__cospi_p24_m08);
  v[3] = _mm_madd_epi16(u[1], k__cospi_p24_m08);
  v[4] = _mm_madd_epi16(u[2], k__cospi_m24_p08);
  v[5] = _mm_madd_epi16(u[3], k__cospi_m24_p08);
  v[6] = _mm_madd_epi16(u[2], k__cospi_p08_p24);
  v[7] = _mm_madd_epi16(u[3], k__cospi_p08_p24);
  v[8] = _mm_madd_epi16(u[4], k__cospi_p08_p24);
  v[9] = _mm_madd_epi16(u[5], k__cospi_p08_p24);
  v[10] = _mm_madd_epi16(u[4], k__cospi_p24_m08);
  v[11] = _mm_madd_epi16(u[5], k__cospi_p24_m08);
  v[12] = _mm_madd_epi16(u[6], k__cospi_m24_p08);
  v[13] = _mm_madd_epi16(u[7], k__cospi_m24_p08);
  v[14] = _mm_madd_epi16(u[6], k__cospi_p08_p24);
  v[15] = _mm_madd_epi16(u[7], k__cospi_p08_p24);

  u[0] = _mm_add_epi32(v[0], v[4]);
  u[1] = _mm_add_epi32(v[1], v[5]);
  u[2] = _mm_add_epi32(v[2], v[6]);
  u[3] = _mm_add_epi32(v[3], v[7]);
  u[4] = _mm_sub_epi32(v[0], v[4]);
  u[5] = _mm_sub_epi32(v[1], v[5]);
  u[6] = _mm_sub_epi32(v[2], v[6]);
  u[7] = _mm_sub_epi32(v[3], v[7]);
  u[8] = _mm_add_epi32(v[8], v[12]);
  u[9] = _mm_add_epi32(v[9], v[13]);
  u[10] = _mm_add_epi32(v[10], v[14]);
  u[11] = _mm_add_epi32(v[11], v[15]);
  u[12] = _mm_sub_epi32(v[8], v[12]);
  u[13] = _mm_sub_epi32(v[9], v[13]);
  u[14] = _mm_sub_epi32(v[10], v[14]);
  u[15] = _mm_sub_epi32(v[11], v[15]);

  u[0] = _mm_add_epi32(u[0], k__DCT_CONST_ROUNDING);
  u[1] = _mm_add_epi32(u[1], k__DCT_CONST_ROUNDING);
  u[2] = _mm_add_epi32(u[2], k__DCT_CONST_ROUNDING);
  u[3] = _mm_add_epi32(u[3], k__DCT_CONST_ROUNDING);
  u[4] = _mm_add_epi32(u[4], k__DCT_CONST_ROUNDING);
  u[5] = _mm_add_epi32(u[5], k__DCT_CONST_ROUNDING);
  u[6] = _mm_add_epi32(u[6], k__DCT_CONST_ROUNDING);
  u[7] = _mm_add_epi32(u[7], k__DCT_CONST_ROUNDING);
  u[8] = _mm_add_epi32(u[8], k__DCT_CONST_ROUNDING);
  u[9] = _mm_add_epi32(u[9], k__DCT_CONST_ROUNDING);
  u[10] = _mm_add_epi32(u[10], k__DCT_CONST_ROUNDING);
  u[11] = _mm_add_epi32(u[11], k__DCT_CONST_ROUNDING);
  u[12] = _mm_add_epi32(u[12], k__DCT_CONST_ROUNDING);
  u[13] = _mm_add_epi32(u[13], k__DCT_CONST_ROUNDING);
  u[14] = _mm_add_epi32(u[14], k__DCT_CONST_ROUNDING);
  u[15] = _mm_add_epi32(u[15], k__DCT_CONST_ROUNDING);

  v[0] = _mm_srai_epi32(u[0], DCT_CONST_BITS);
  v[1] = _mm_srai_epi32(u[1], DCT_CONST_BITS);
  v[2] = _mm_srai_epi32(u[2], DCT_CONST_BITS);
  v[3] = _mm_srai_epi32(u[3], DCT_CONST_BITS);
  v[4] = _mm_srai_epi32(u[4], DCT_CONST_BITS);
  v[5] = _mm_srai_epi32(u[5], DCT_CONST_BITS);
  v[6] = _mm_srai_epi32(u[6], DCT_CONST_BITS);
  v[7] = _mm_srai_epi32(u[7], DCT_CONST_BITS);
  v[8] = _mm_srai_epi32(u[8], DCT_CONST_BITS);
  v[9] = _mm_srai_epi32(u[9], DCT_CONST_BITS);
  v[10] = _mm_srai_epi32(u[10], DCT_CONST_BITS);
  v[11] = _mm_srai_epi32(u[11], DCT_CONST_BITS);
  v[12] = _mm_srai_epi32(u[12], DCT_CONST_BITS);
  v[13] = _mm_srai_epi32(u[13], DCT_CONST_BITS);
  v[14] = _mm_srai_epi32(u[14], DCT_CONST_BITS);
  v[15] = _mm_srai_epi32(u[15], DCT_CONST_BITS);

  s[0] = _mm_add_epi16(x[0], x[2]);
  s[1] = _mm_add_epi16(x[1], x[3]);
  s[2] = _mm_sub_epi16(x[0], x[2]);
  s[3] = _mm_sub_epi16(x[1], x[3]);
  s[4] = _mm_packs_epi32(v[0], v[1]);
  s[5] = _mm_packs_epi32(v[2], v[3]);
  s[6] = _mm_packs_epi32(v[4], v[5]);
  s[7] = _mm_packs_epi32(v[6], v[7]);
  s[8] = _mm_add_epi16(x[8], x[10]);
  s[9] = _mm_add_epi16(x[9], x[11]);
  s[10] = _mm_sub_epi16(x[8], x[10]);
  s[11] = _mm_sub_epi16(x[9], x[11]);
  s[12] = _mm_packs_epi32(v[8], v[9]);
  s[13] = _mm_packs_epi32(v[10], v[11]);
  s[14] = _mm_packs_epi32(v[12], v[13]);
  s[15] = _mm_packs_epi32(v[14], v[15]);

  // stage 4
  u[0] = _mm_unpacklo_epi16(s[2], s[3]);
  u[1] = _mm_unpackhi_epi16(s[2], s[3]);
  u[2] = _mm_unpacklo_epi16(s[6], s[7]);
  u[3] = _mm_unpackhi_epi16(s[6], s[7]);
  u[4] = _mm_unpacklo_epi16(s[10], s[11]);
  u[5] = _mm_unpackhi_epi16(s[10], s[11]);
  u[6] = _mm_unpacklo_epi16(s[14], s[15]);
  u[7] = _mm_unpackhi_epi16(s[14], s[15]);

  v[0] = _mm_madd_epi16(u[0], k__cospi_m16_m16);
  v[1] = _mm_madd_epi16(u[1], k__cospi_m16_m16);
  v[2] = _mm_madd_epi16(u[0], k__cospi_p16_m16);
  v[3] = _mm_madd_epi16(u[1], k__cospi_p16_m16);
  v[4] = _mm_madd_epi16(u[2], k__cospi_p16_p16);
  v[5] = _mm_madd_epi16(u[3], k__cospi_p16_p16);
  v[6] = _mm_madd_epi16(u[2], k__cospi_m16_p16);
  v[7] = _mm_madd_epi16(u[3], k__cospi_m16_p16);
  v[8] = _mm_madd_epi16(u[4], k__cospi_p16_p16);
  v[9] = _mm_madd_epi16(u[5], k__cospi_p16_p16);
  v[10] = _mm_madd_epi16(u[4], k__cospi_m16_p16);
  v[11] = _mm_madd_epi16(u[5], k__cospi_m16_p16);
  v[12] = _mm_madd_epi16(u[6], k__cospi_m16_m16);
  v[13] = _mm_madd_epi16(u[7], k__cospi_m16_m16);
  v[14] = _mm_madd_epi16(u[6], k__cospi_p16_m16);
  v[15] = _mm_madd_epi16(u[7], k__cospi_p16_m16);

  u[0] = _mm_add_epi32(v[0], k__DCT_CONST_ROUNDING);
  u[1] = _mm_add_epi32(v[1], k__DCT_CONST_ROUNDING);
  u[2] = _mm_add_epi32(v[2], k__DCT_CONST_ROUNDING);
  u[3] = _mm_add_epi32(v[3], k__DCT_CONST_ROUNDING);
  u[4] = _mm_add_epi32(v[4], k__DCT_CONST_ROUNDING);
  u[5] = _mm_add_epi32(v[5], k__DCT_CONST_ROUNDING);
  u[6] = _mm_add_epi32(v[6], k__DCT_CONST_ROUNDING);
  u[7] = _mm_add_epi32(v[7], k__DCT_CONST_ROUNDING);
  u[8] = _mm_add_epi32(v[8], k__DCT_CONST_ROUNDING);
  u[9] = _mm_add_epi32(v[9], k__DCT_CONST_ROUNDING);
  u[10] = _mm_add_epi32(v[10], k__DCT_CONST_ROUNDING);
  u[11] = _mm_add_epi32(v[11], k__DCT_CONST_ROUNDING);
  u[12] = _mm_add_epi32(v[12], k__DCT_CONST_ROUNDING);
  u[13] = _mm_add_epi32(v[13], k__DCT_CONST_ROUNDING);
  u[14] = _mm_add_epi32(v[14], k__DCT_CONST_ROUNDING);
  u[15] = _mm_add_epi32(v[15], k__DCT_CONST_ROUNDING);

  v[0] = _mm_srai_epi32(u[0], DCT_CONST_BITS);
  v[1] = _mm_srai_epi32(u[1], DCT_CONST_BITS);
  v[2] = _mm_srai_epi32(u[2], DCT_CONST_BITS);
  v[3] = _mm_srai_epi32(u[3], DCT_CONST_BITS);
  v[4] = _mm_srai_epi32(u[4], DCT_CONST_BITS);
  v[5] = _mm_srai_epi32(u[5], DCT_CONST_BITS);
  v[6] = _mm_srai_epi32(u[6], DCT_CONST_BITS);
  v[7] = _mm_srai_epi32(u[7], DCT_CONST_BITS);
  v[8] = _mm_srai_epi32(u[8], DCT_CONST_BITS);
  v[9] = _mm_srai_epi32(u[9], DCT_CONST_BITS);
  v[10] = _mm_srai_epi32(u[10], DCT_CONST_BITS);
  v[11] = _mm_srai_epi32(u[11], DCT_CONST_BITS);
  v[12] = _mm_srai_epi32(u[12], DCT_CONST_BITS);
  v[13] = _mm_srai_epi32(u[13], DCT_CONST_BITS);
  v[14] = _mm_srai_epi32(u[14], DCT_CONST_BITS);
  v[15] = _mm_srai_epi32(u[15], DCT_CONST_BITS);

  in[0] = s[0];
  in[1] = _mm_sub_epi16(kZero, s[8]);
  in[2] = s[12];
  in[3] = _mm_sub_epi16(kZero, s[4]);
  in[4] = _mm_packs_epi32(v[4], v[5]);
  in[5] = _mm_packs_epi32(v[12], v[13]);
  in[6] = _mm_packs_epi32(v[8], v[9]);
  in[7] = _mm_packs_epi32(v[0], v[1]);
  in[8] = _mm_packs_epi32(v[2], v[3]);
  in[9] = _mm_packs_epi32(v[10], v[11]);
  in[10] = _mm_packs_epi32(v[14], v[15]);
  in[11] = _mm_packs_epi32(v[6], v[7]);
  in[12] = s[5];
  in[13] = _mm_sub_epi16(kZero, s[13]);
  in[14] = s[9];
  in[15] = _mm_sub_epi16(kZero, s[1]);
}

void idct16_1d_8col(__m128i *in) {
  const __m128i k__cospi_p30_m02 = pair_set_epi16(cospi_30_64, -cospi_2_64);
  const __m128i k__cospi_p02_p30 = pair_set_epi16(cospi_2_64, cospi_30_64);
  const __m128i k__cospi_p14_m18 = pair_set_epi16(cospi_14_64, -cospi_18_64);
  const __m128i k__cospi_p18_p14 = pair_set_epi16(cospi_18_64, cospi_14_64);
  const __m128i k__cospi_p22_m10 = pair_set_epi16(cospi_22_64, -cospi_10_64);
  const __m128i k__cospi_p10_p22 = pair_set_epi16(cospi_10_64, cospi_22_64);
  const __m128i k__cospi_p06_m26 = pair_set_epi16(cospi_6_64, -cospi_26_64);
  const __m128i k__cospi_p26_p06 = pair_set_epi16(cospi_26_64, cospi_6_64);
  const __m128i k__cospi_p28_m04 = pair_set_epi16(cospi_28_64, -cospi_4_64);
  const __m128i k__cospi_p04_p28 = pair_set_epi16(cospi_4_64, cospi_28_64);
  const __m128i k__cospi_p12_m20 = pair_set_epi16(cospi_12_64, -cospi_20_64);
  const __m128i k__cospi_p20_p12 = pair_set_epi16(cospi_20_64, cospi_12_64);
  const __m128i k__cospi_p16_p16 = _mm_set1_epi16(cospi_16_64);
  const __m128i k__cospi_p16_m16 = pair_set_epi16(cospi_16_64, -cospi_16_64);
  const __m128i k__cospi_p24_m08 = pair_set_epi16(cospi_24_64, -cospi_8_64);
  const __m128i k__cospi_p08_p24 = pair_set_epi16(cospi_8_64, cospi_24_64);
  const __m128i k__cospi_m08_p24 = pair_set_epi16(-cospi_8_64, cospi_24_64);
  const __m128i k__cospi_p24_p08 = pair_set_epi16(cospi_24_64, cospi_8_64);
  const __m128i k__cospi_m24_m08 = pair_set_epi16(-cospi_24_64, -cospi_8_64);
  const __m128i k__cospi_m16_p16 = pair_set_epi16(-cospi_16_64, cospi_16_64);
  const __m128i k__DCT_CONST_ROUNDING = _mm_set1_epi32(DCT_CONST_ROUNDING);
  __m128i v[16], u[16], s[16], t[16];

  // stage 1
  s[0] = in[0];
  s[1] = in[8];
  s[2] = in[4];
  s[3] = in[12];
  s[4] = in[2];
  s[5] = in[10];
  s[6] = in[6];
  s[7] = in[14];
  s[8] = in[1];
  s[9] = in[9];
  s[10] = in[5];
  s[11] = in[13];
  s[12] = in[3];
  s[13] = in[11];
  s[14] = in[7];
  s[15] = in[15];

  // stage 2
  u[0] = _mm_unpacklo_epi16(s[8], s[15]);
  u[1] = _mm_unpackhi_epi16(s[8], s[15]);
  u[2] = _mm_unpacklo_epi16(s[9], s[14]);
  u[3] = _mm_unpackhi_epi16(s[9], s[14]);
  u[4] = _mm_unpacklo_epi16(s[10], s[13]);
  u[5] = _mm_unpackhi_epi16(s[10], s[13]);
  u[6] = _mm_unpacklo_epi16(s[11], s[12]);
  u[7] = _mm_unpackhi_epi16(s[11], s[12]);

  v[0] = _mm_madd_epi16(u[0], k__cospi_p30_m02);
  v[1] = _mm_madd_epi16(u[1], k__cospi_p30_m02);
  v[2] = _mm_madd_epi16(u[0], k__cospi_p02_p30);
  v[3] = _mm_madd_epi16(u[1], k__cospi_p02_p30);
  v[4] = _mm_madd_epi16(u[2], k__cospi_p14_m18);
  v[5] = _mm_madd_epi16(u[3], k__cospi_p14_m18);
  v[6] = _mm_madd_epi16(u[2], k__cospi_p18_p14);
  v[7] = _mm_madd_epi16(u[3], k__cospi_p18_p14);
  v[8] = _mm_madd_epi16(u[4], k__cospi_p22_m10);
  v[9] = _mm_madd_epi16(u[5], k__cospi_p22_m10);
  v[10] = _mm_madd_epi16(u[4], k__cospi_p10_p22);
  v[11] = _mm_madd_epi16(u[5], k__cospi_p10_p22);
  v[12] = _mm_madd_epi16(u[6], k__cospi_p06_m26);
  v[13] = _mm_madd_epi16(u[7], k__cospi_p06_m26);
  v[14] = _mm_madd_epi16(u[6], k__cospi_p26_p06);
  v[15] = _mm_madd_epi16(u[7], k__cospi_p26_p06);

  u[0] = _mm_add_epi32(v[0], k__DCT_CONST_ROUNDING);
  u[1] = _mm_add_epi32(v[1], k__DCT_CONST_ROUNDING);
  u[2] = _mm_add_epi32(v[2], k__DCT_CONST_ROUNDING);
  u[3] = _mm_add_epi32(v[3], k__DCT_CONST_ROUNDING);
  u[4] = _mm_add_epi32(v[4], k__DCT_CONST_ROUNDING);
  u[5] = _mm_add_epi32(v[5], k__DCT_CONST_ROUNDING);
  u[6] = _mm_add_epi32(v[6], k__DCT_CONST_ROUNDING);
  u[7] = _mm_add_epi32(v[7], k__DCT_CONST_ROUNDING);
  u[8] = _mm_add_epi32(v[8], k__DCT_CONST_ROUNDING);
  u[9] = _mm_add_epi32(v[9], k__DCT_CONST_ROUNDING);
  u[10] = _mm_add_epi32(v[10], k__DCT_CONST_ROUNDING);
  u[11] = _mm_add_epi32(v[11], k__DCT_CONST_ROUNDING);
  u[12] = _mm_add_epi32(v[12], k__DCT_CONST_ROUNDING);
  u[13] = _mm_add_epi32(v[13], k__DCT_CONST_ROUNDING);
  u[14] = _mm_add_epi32(v[14], k__DCT_CONST_ROUNDING);
  u[15] = _mm_add_epi32(v[15], k__DCT_CONST_ROUNDING);

  u[0] = _mm_srai_epi32(u[0], DCT_CONST_BITS);
  u[1] = _mm_srai_epi32(u[1], DCT_CONST_BITS);
  u[2] = _mm_srai_epi32(u[2], DCT_CONST_BITS);
  u[3] = _mm_srai_epi32(u[3], DCT_CONST_BITS);
  u[4] = _mm_srai_epi32(u[4], DCT_CONST_BITS);
  u[5] = _mm_srai_epi32(u[5], DCT_CONST_BITS);
  u[6] = _mm_srai_epi32(u[6], DCT_CONST_BITS);
  u[7] = _mm_srai_epi32(u[7], DCT_CONST_BITS);
  u[8] = _mm_srai_epi32(u[8], DCT_CONST_BITS);
  u[9] = _mm_srai_epi32(u[9], DCT_CONST_BITS);
  u[10] = _mm_srai_epi32(u[10], DCT_CONST_BITS);
  u[11] = _mm_srai_epi32(u[11], DCT_CONST_BITS);
  u[12] = _mm_srai_epi32(u[12], DCT_CONST_BITS);
  u[13] = _mm_srai_epi32(u[13], DCT_CONST_BITS);
  u[14] = _mm_srai_epi32(u[14], DCT_CONST_BITS);
  u[15] = _mm_srai_epi32(u[15], DCT_CONST_BITS);

  s[8]  = _mm_packs_epi32(u[0], u[1]);
  s[15] = _mm_packs_epi32(u[2], u[3]);
  s[9]  = _mm_packs_epi32(u[4], u[5]);
  s[14] = _mm_packs_epi32(u[6], u[7]);
  s[10] = _mm_packs_epi32(u[8], u[9]);
  s[13] = _mm_packs_epi32(u[10], u[11]);
  s[11] = _mm_packs_epi32(u[12], u[13]);
  s[12] = _mm_packs_epi32(u[14], u[15]);

  // stage 3
  t[0] = s[0];
  t[1] = s[1];
  t[2] = s[2];
  t[3] = s[3];
  u[0] = _mm_unpacklo_epi16(s[4], s[7]);
  u[1] = _mm_unpackhi_epi16(s[4], s[7]);
  u[2] = _mm_unpacklo_epi16(s[5], s[6]);
  u[3] = _mm_unpackhi_epi16(s[5], s[6]);

  v[0] = _mm_madd_epi16(u[0], k__cospi_p28_m04);
  v[1] = _mm_madd_epi16(u[1], k__cospi_p28_m04);
  v[2] = _mm_madd_epi16(u[0], k__cospi_p04_p28);
  v[3] = _mm_madd_epi16(u[1], k__cospi_p04_p28);
  v[4] = _mm_madd_epi16(u[2], k__cospi_p12_m20);
  v[5] = _mm_madd_epi16(u[3], k__cospi_p12_m20);
  v[6] = _mm_madd_epi16(u[2], k__cospi_p20_p12);
  v[7] = _mm_madd_epi16(u[3], k__cospi_p20_p12);

  u[0] = _mm_add_epi32(v[0], k__DCT_CONST_ROUNDING);
  u[1] = _mm_add_epi32(v[1], k__DCT_CONST_ROUNDING);
  u[2] = _mm_add_epi32(v[2], k__DCT_CONST_ROUNDING);
  u[3] = _mm_add_epi32(v[3], k__DCT_CONST_ROUNDING);
  u[4] = _mm_add_epi32(v[4], k__DCT_CONST_ROUNDING);
  u[5] = _mm_add_epi32(v[5], k__DCT_CONST_ROUNDING);
  u[6] = _mm_add_epi32(v[6], k__DCT_CONST_ROUNDING);
  u[7] = _mm_add_epi32(v[7], k__DCT_CONST_ROUNDING);

  u[0] = _mm_srai_epi32(u[0], DCT_CONST_BITS);
  u[1] = _mm_srai_epi32(u[1], DCT_CONST_BITS);
  u[2] = _mm_srai_epi32(u[2], DCT_CONST_BITS);
  u[3] = _mm_srai_epi32(u[3], DCT_CONST_BITS);
  u[4] = _mm_srai_epi32(u[4], DCT_CONST_BITS);
  u[5] = _mm_srai_epi32(u[5], DCT_CONST_BITS);
  u[6] = _mm_srai_epi32(u[6], DCT_CONST_BITS);
  u[7] = _mm_srai_epi32(u[7], DCT_CONST_BITS);

  t[4] = _mm_packs_epi32(u[0], u[1]);
  t[7] = _mm_packs_epi32(u[2], u[3]);
  t[5] = _mm_packs_epi32(u[4], u[5]);
  t[6] = _mm_packs_epi32(u[6], u[7]);
  t[8] = _mm_add_epi16(s[8], s[9]);
  t[9] = _mm_sub_epi16(s[8], s[9]);
  t[10] = _mm_sub_epi16(s[11], s[10]);
  t[11] = _mm_add_epi16(s[10], s[11]);
  t[12] = _mm_add_epi16(s[12], s[13]);
  t[13] = _mm_sub_epi16(s[12], s[13]);
  t[14] = _mm_sub_epi16(s[15], s[14]);
  t[15] = _mm_add_epi16(s[14], s[15]);

  // stage 4
  u[0] = _mm_unpacklo_epi16(t[0], t[1]);
  u[1] = _mm_unpackhi_epi16(t[0], t[1]);
  u[2] = _mm_unpacklo_epi16(t[2], t[3]);
  u[3] = _mm_unpackhi_epi16(t[2], t[3]);
  u[4] = _mm_unpacklo_epi16(t[9], t[14]);
  u[5] = _mm_unpackhi_epi16(t[9], t[14]);
  u[6] = _mm_unpacklo_epi16(t[10], t[13]);
  u[7] = _mm_unpackhi_epi16(t[10], t[13]);

  v[0] = _mm_madd_epi16(u[0], k__cospi_p16_p16);
  v[1] = _mm_madd_epi16(u[1], k__cospi_p16_p16);
  v[2] = _mm_madd_epi16(u[0], k__cospi_p16_m16);
  v[3] = _mm_madd_epi16(u[1], k__cospi_p16_m16);
  v[4] = _mm_madd_epi16(u[2], k__cospi_p24_m08);
  v[5] = _mm_madd_epi16(u[3], k__cospi_p24_m08);
  v[6] = _mm_madd_epi16(u[2], k__cospi_p08_p24);
  v[7] = _mm_madd_epi16(u[3], k__cospi_p08_p24);
  v[8] = _mm_madd_epi16(u[4], k__cospi_m08_p24);
  v[9] = _mm_madd_epi16(u[5], k__cospi_m08_p24);
  v[10] = _mm_madd_epi16(u[4], k__cospi_p24_p08);
  v[11] = _mm_madd_epi16(u[5], k__cospi_p24_p08);
  v[12] = _mm_madd_epi16(u[6], k__cospi_m24_m08);
  v[13] = _mm_madd_epi16(u[7], k__cospi_m24_m08);
  v[14] = _mm_madd_epi16(u[6], k__cospi_m08_p24);
  v[15] = _mm_madd_epi16(u[7], k__cospi_m08_p24);

  u[0] = _mm_add_epi32(v[0], k__DCT_CONST_ROUNDING);
  u[1] = _mm_add_epi32(v[1], k__DCT_CONST_ROUNDING);
  u[2] = _mm_add_epi32(v[2], k__DCT_CONST_ROUNDING);
  u[3] = _mm_add_epi32(v[3], k__DCT_CONST_ROUNDING);
  u[4] = _mm_add_epi32(v[4], k__DCT_CONST_ROUNDING);
  u[5] = _mm_add_epi32(v[5], k__DCT_CONST_ROUNDING);
  u[6] = _mm_add_epi32(v[6], k__DCT_CONST_ROUNDING);
  u[7] = _mm_add_epi32(v[7], k__DCT_CONST_ROUNDING);
  u[8] = _mm_add_epi32(v[8], k__DCT_CONST_ROUNDING);
  u[9] = _mm_add_epi32(v[9], k__DCT_CONST_ROUNDING);
  u[10] = _mm_add_epi32(v[10], k__DCT_CONST_ROUNDING);
  u[11] = _mm_add_epi32(v[11], k__DCT_CONST_ROUNDING);
  u[12] = _mm_add_epi32(v[12], k__DCT_CONST_ROUNDING);
  u[13] = _mm_add_epi32(v[13], k__DCT_CONST_ROUNDING);
  u[14] = _mm_add_epi32(v[14], k__DCT_CONST_ROUNDING);
  u[15] = _mm_add_epi32(v[15], k__DCT_CONST_ROUNDING);

  u[0] = _mm_srai_epi32(u[0], DCT_CONST_BITS);
  u[1] = _mm_srai_epi32(u[1], DCT_CONST_BITS);
  u[2] = _mm_srai_epi32(u[2], DCT_CONST_BITS);
  u[3] = _mm_srai_epi32(u[3], DCT_CONST_BITS);
  u[4] = _mm_srai_epi32(u[4], DCT_CONST_BITS);
  u[5] = _mm_srai_epi32(u[5], DCT_CONST_BITS);
  u[6] = _mm_srai_epi32(u[6], DCT_CONST_BITS);
  u[7] = _mm_srai_epi32(u[7], DCT_CONST_BITS);
  u[8] = _mm_srai_epi32(u[8], DCT_CONST_BITS);
  u[9] = _mm_srai_epi32(u[9], DCT_CONST_BITS);
  u[10] = _mm_srai_epi32(u[10], DCT_CONST_BITS);
  u[11] = _mm_srai_epi32(u[11], DCT_CONST_BITS);
  u[12] = _mm_srai_epi32(u[12], DCT_CONST_BITS);
  u[13] = _mm_srai_epi32(u[13], DCT_CONST_BITS);
  u[14] = _mm_srai_epi32(u[14], DCT_CONST_BITS);
  u[15] = _mm_srai_epi32(u[15], DCT_CONST_BITS);

  s[0] = _mm_packs_epi32(u[0], u[1]);
  s[1] = _mm_packs_epi32(u[2], u[3]);
  s[2] = _mm_packs_epi32(u[4], u[5]);
  s[3] = _mm_packs_epi32(u[6], u[7]);
  s[4] = _mm_add_epi16(t[4], t[5]);
  s[5] = _mm_sub_epi16(t[4], t[5]);
  s[6] = _mm_sub_epi16(t[7], t[6]);
  s[7] = _mm_add_epi16(t[6], t[7]);
  s[8] = t[8];
  s[15] = t[15];
  s[9]  = _mm_packs_epi32(u[8], u[9]);
  s[14] = _mm_packs_epi32(u[10], u[11]);
  s[10] = _mm_packs_epi32(u[12], u[13]);
  s[13] = _mm_packs_epi32(u[14], u[15]);
  s[11] = t[11];
  s[12] = t[12];

  // stage 5
  t[0] = _mm_add_epi16(s[0], s[3]);
  t[1] = _mm_add_epi16(s[1], s[2]);
  t[2] = _mm_sub_epi16(s[1], s[2]);
  t[3] = _mm_sub_epi16(s[0], s[3]);
  t[4] = s[4];
  t[7] = s[7];

  u[0] = _mm_unpacklo_epi16(s[5], s[6]);
  u[1] = _mm_unpackhi_epi16(s[5], s[6]);
  v[0] = _mm_madd_epi16(u[0], k__cospi_m16_p16);
  v[1] = _mm_madd_epi16(u[1], k__cospi_m16_p16);
  v[2] = _mm_madd_epi16(u[0], k__cospi_p16_p16);
  v[3] = _mm_madd_epi16(u[1], k__cospi_p16_p16);
  u[0] = _mm_add_epi32(v[0], k__DCT_CONST_ROUNDING);
  u[1] = _mm_add_epi32(v[1], k__DCT_CONST_ROUNDING);
  u[2] = _mm_add_epi32(v[2], k__DCT_CONST_ROUNDING);
  u[3] = _mm_add_epi32(v[3], k__DCT_CONST_ROUNDING);
  u[0] = _mm_srai_epi32(u[0], DCT_CONST_BITS);
  u[1] = _mm_srai_epi32(u[1], DCT_CONST_BITS);
  u[2] = _mm_srai_epi32(u[2], DCT_CONST_BITS);
  u[3] = _mm_srai_epi32(u[3], DCT_CONST_BITS);
  t[5] = _mm_packs_epi32(u[0], u[1]);
  t[6] = _mm_packs_epi32(u[2], u[3]);

  t[8] = _mm_add_epi16(s[8], s[11]);
  t[9] = _mm_add_epi16(s[9], s[10]);
  t[10] = _mm_sub_epi16(s[9], s[10]);
  t[11] = _mm_sub_epi16(s[8], s[11]);
  t[12] = _mm_sub_epi16(s[15], s[12]);
  t[13] = _mm_sub_epi16(s[14], s[13]);
  t[14] = _mm_add_epi16(s[13], s[14]);
  t[15] = _mm_add_epi16(s[12], s[15]);

  // stage 6
  s[0] = _mm_add_epi16(t[0], t[7]);
  s[1] = _mm_add_epi16(t[1], t[6]);
  s[2] = _mm_add_epi16(t[2], t[5]);
  s[3] = _mm_add_epi16(t[3], t[4]);
  s[4] = _mm_sub_epi16(t[3], t[4]);
  s[5] = _mm_sub_epi16(t[2], t[5]);
  s[6] = _mm_sub_epi16(t[1], t[6]);
  s[7] = _mm_sub_epi16(t[0], t[7]);
  s[8] = t[8];
  s[9] = t[9];

  u[0] = _mm_unpacklo_epi16(t[10], t[13]);
  u[1] = _mm_unpackhi_epi16(t[10], t[13]);
  u[2] = _mm_unpacklo_epi16(t[11], t[12]);
  u[3] = _mm_unpackhi_epi16(t[11], t[12]);

  v[0] = _mm_madd_epi16(u[0], k__cospi_m16_p16);
  v[1] = _mm_madd_epi16(u[1], k__cospi_m16_p16);
  v[2] = _mm_madd_epi16(u[0], k__cospi_p16_p16);
  v[3] = _mm_madd_epi16(u[1], k__cospi_p16_p16);
  v[4] = _mm_madd_epi16(u[2], k__cospi_m16_p16);
  v[5] = _mm_madd_epi16(u[3], k__cospi_m16_p16);
  v[6] = _mm_madd_epi16(u[2], k__cospi_p16_p16);
  v[7] = _mm_madd_epi16(u[3], k__cospi_p16_p16);

  u[0] = _mm_add_epi32(v[0], k__DCT_CONST_ROUNDING);
  u[1] = _mm_add_epi32(v[1], k__DCT_CONST_ROUNDING);
  u[2] = _mm_add_epi32(v[2], k__DCT_CONST_ROUNDING);
  u[3] = _mm_add_epi32(v[3], k__DCT_CONST_ROUNDING);
  u[4] = _mm_add_epi32(v[4], k__DCT_CONST_ROUNDING);
  u[5] = _mm_add_epi32(v[5], k__DCT_CONST_ROUNDING);
  u[6] = _mm_add_epi32(v[6], k__DCT_CONST_ROUNDING);
  u[7] = _mm_add_epi32(v[7], k__DCT_CONST_ROUNDING);

  u[0] = _mm_srai_epi32(u[0], DCT_CONST_BITS);
  u[1] = _mm_srai_epi32(u[1], DCT_CONST_BITS);
  u[2] = _mm_srai_epi32(u[2], DCT_CONST_BITS);
  u[3] = _mm_srai_epi32(u[3], DCT_CONST_BITS);
  u[4] = _mm_srai_epi32(u[4], DCT_CONST_BITS);
  u[5] = _mm_srai_epi32(u[5], DCT_CONST_BITS);
  u[6] = _mm_srai_epi32(u[6], DCT_CONST_BITS);
  u[7] = _mm_srai_epi32(u[7], DCT_CONST_BITS);

  s[10] = _mm_packs_epi32(u[0], u[1]);
  s[13] = _mm_packs_epi32(u[2], u[3]);
  s[11] = _mm_packs_epi32(u[4], u[5]);
  s[12] = _mm_packs_epi32(u[6], u[7]);
  s[14] = t[14];
  s[15] = t[15];

  // stage 7
  in[0] = _mm_add_epi16(s[0], s[15]);
  in[1] = _mm_add_epi16(s[1], s[14]);
  in[2] = _mm_add_epi16(s[2], s[13]);
  in[3] = _mm_add_epi16(s[3], s[12]);
  in[4] = _mm_add_epi16(s[4], s[11]);
  in[5] = _mm_add_epi16(s[5], s[10]);
  in[6] = _mm_add_epi16(s[6], s[9]);
  in[7] = _mm_add_epi16(s[7], s[8]);
  in[8] = _mm_sub_epi16(s[7], s[8]);
  in[9] = _mm_sub_epi16(s[6], s[9]);
  in[10] = _mm_sub_epi16(s[5], s[10]);
  in[11] = _mm_sub_epi16(s[4], s[11]);
  in[12] = _mm_sub_epi16(s[3], s[12]);
  in[13] = _mm_sub_epi16(s[2], s[13]);
  in[14] = _mm_sub_epi16(s[1], s[14]);
  in[15] = _mm_sub_epi16(s[0], s[15]);
}

void idct16_1d_sse2(__m128i *in0, __m128i *in1) {
  array_transpose_16x16(in0, in1);
  idct16_1d_8col(in0);
  idct16_1d_8col(in1);
}

void iadst16_1d_sse2(__m128i *in0, __m128i *in1) {
  array_transpose_16x16(in0, in1);
  iadst16_1d_8col(in0);
  iadst16_1d_8col(in1);
}

static INLINE void load_buffer_8x16(int16_t *input, __m128i *in) {
  in[0]  = _mm_load_si128((__m128i *)(input + 0 * 16));
  in[1]  = _mm_load_si128((__m128i *)(input + 1 * 16));
  in[2]  = _mm_load_si128((__m128i *)(input + 2 * 16));
  in[3]  = _mm_load_si128((__m128i *)(input + 3 * 16));
  in[4]  = _mm_load_si128((__m128i *)(input + 4 * 16));
  in[5]  = _mm_load_si128((__m128i *)(input + 5 * 16));
  in[6]  = _mm_load_si128((__m128i *)(input + 6 * 16));
  in[7]  = _mm_load_si128((__m128i *)(input + 7 * 16));

  in[8]  = _mm_load_si128((__m128i *)(input + 8 * 16));
  in[9]  = _mm_load_si128((__m128i *)(input + 9 * 16));
  in[10]  = _mm_load_si128((__m128i *)(input + 10 * 16));
  in[11]  = _mm_load_si128((__m128i *)(input + 11 * 16));
  in[12]  = _mm_load_si128((__m128i *)(input + 12 * 16));
  in[13]  = _mm_load_si128((__m128i *)(input + 13 * 16));
  in[14]  = _mm_load_si128((__m128i *)(input + 14 * 16));
  in[15]  = _mm_load_si128((__m128i *)(input + 15 * 16));
}

static INLINE void write_buffer_8x16(uint8_t *dest, __m128i *in, int stride) {
  const __m128i final_rounding = _mm_set1_epi16(1<<5);
  const __m128i zero = _mm_setzero_si128();
  // Final rounding and shift
  in[0] = _mm_adds_epi16(in[0], final_rounding);
  in[1] = _mm_adds_epi16(in[1], final_rounding);
  in[2] = _mm_adds_epi16(in[2], final_rounding);
  in[3] = _mm_adds_epi16(in[3], final_rounding);
  in[4] = _mm_adds_epi16(in[4], final_rounding);
  in[5] = _mm_adds_epi16(in[5], final_rounding);
  in[6] = _mm_adds_epi16(in[6], final_rounding);
  in[7] = _mm_adds_epi16(in[7], final_rounding);
  in[8] = _mm_adds_epi16(in[8], final_rounding);
  in[9] = _mm_adds_epi16(in[9], final_rounding);
  in[10] = _mm_adds_epi16(in[10], final_rounding);
  in[11] = _mm_adds_epi16(in[11], final_rounding);
  in[12] = _mm_adds_epi16(in[12], final_rounding);
  in[13] = _mm_adds_epi16(in[13], final_rounding);
  in[14] = _mm_adds_epi16(in[14], final_rounding);
  in[15] = _mm_adds_epi16(in[15], final_rounding);

  in[0] = _mm_srai_epi16(in[0], 6);
  in[1] = _mm_srai_epi16(in[1], 6);
  in[2] = _mm_srai_epi16(in[2], 6);
  in[3] = _mm_srai_epi16(in[3], 6);
  in[4] = _mm_srai_epi16(in[4], 6);
  in[5] = _mm_srai_epi16(in[5], 6);
  in[6] = _mm_srai_epi16(in[6], 6);
  in[7] = _mm_srai_epi16(in[7], 6);
  in[8] = _mm_srai_epi16(in[8], 6);
  in[9] = _mm_srai_epi16(in[9], 6);
  in[10] = _mm_srai_epi16(in[10], 6);
  in[11] = _mm_srai_epi16(in[11], 6);
  in[12] = _mm_srai_epi16(in[12], 6);
  in[13] = _mm_srai_epi16(in[13], 6);
  in[14] = _mm_srai_epi16(in[14], 6);
  in[15] = _mm_srai_epi16(in[15], 6);

  RECON_AND_STORE(dest, in[0]);
  RECON_AND_STORE(dest, in[1]);
  RECON_AND_STORE(dest, in[2]);
  RECON_AND_STORE(dest, in[3]);
  RECON_AND_STORE(dest, in[4]);
  RECON_AND_STORE(dest, in[5]);
  RECON_AND_STORE(dest, in[6]);
  RECON_AND_STORE(dest, in[7]);
  RECON_AND_STORE(dest, in[8]);
  RECON_AND_STORE(dest, in[9]);
  RECON_AND_STORE(dest, in[10]);
  RECON_AND_STORE(dest, in[11]);
  RECON_AND_STORE(dest, in[12]);
  RECON_AND_STORE(dest, in[13]);
  RECON_AND_STORE(dest, in[14]);
  RECON_AND_STORE(dest, in[15]);
}

void vp9_short_iht16x16_add_sse2(int16_t *input, uint8_t *dest, int stride,
                                 int tx_type) {
  __m128i in0[16], in1[16];

  load_buffer_8x16(input, in0);
  input += 8;
  load_buffer_8x16(input, in1);

  switch (tx_type) {
    case 0:  // DCT_DCT
      idct16_1d_sse2(in0, in1);
      idct16_1d_sse2(in0, in1);
      break;
    case 1:  // ADST_DCT
      idct16_1d_sse2(in0, in1);
      iadst16_1d_sse2(in0, in1);
      break;
    case 2:  // DCT_ADST
      iadst16_1d_sse2(in0, in1);
      idct16_1d_sse2(in0, in1);
      break;
    case 3:  // ADST_ADST
      iadst16_1d_sse2(in0, in1);
      iadst16_1d_sse2(in0, in1);
      break;
    default:
      assert(0);
      break;
  }

  write_buffer_8x16(dest, in0, stride);
  dest += 8;
  write_buffer_8x16(dest, in1, stride);
}

void vp9_short_idct10_16x16_add_sse2(int16_t *input, uint8_t *dest,
                                     int stride) {
  const __m128i rounding = _mm_set1_epi32(DCT_CONST_ROUNDING);
  const __m128i final_rounding = _mm_set1_epi16(1<<5);
  const __m128i zero = _mm_setzero_si128();

  const __m128i stg2_0 = pair_set_epi16(cospi_30_64, -cospi_2_64);
  const __m128i stg2_1 = pair_set_epi16(cospi_2_64, cospi_30_64);
  const __m128i stg2_2 = pair_set_epi16(cospi_14_64, -cospi_18_64);
  const __m128i stg2_3 = pair_set_epi16(cospi_18_64, cospi_14_64);
  const __m128i stg2_4 = pair_set_epi16(cospi_22_64, -cospi_10_64);
  const __m128i stg2_5 = pair_set_epi16(cospi_10_64, cospi_22_64);
  const __m128i stg2_6 = pair_set_epi16(cospi_6_64, -cospi_26_64);
  const __m128i stg2_7 = pair_set_epi16(cospi_26_64, cospi_6_64);

  const __m128i stg3_0 = pair_set_epi16(cospi_28_64, -cospi_4_64);
  const __m128i stg3_1 = pair_set_epi16(cospi_4_64, cospi_28_64);
  const __m128i stg3_2 = pair_set_epi16(cospi_12_64, -cospi_20_64);
  const __m128i stg3_3 = pair_set_epi16(cospi_20_64, cospi_12_64);

  const __m128i stg4_0 = pair_set_epi16(cospi_16_64, cospi_16_64);
  const __m128i stg4_1 = pair_set_epi16(cospi_16_64, -cospi_16_64);
  const __m128i stg4_2 = pair_set_epi16(cospi_24_64, -cospi_8_64);
  const __m128i stg4_3 = pair_set_epi16(cospi_8_64, cospi_24_64);
  const __m128i stg4_4 = pair_set_epi16(-cospi_8_64, cospi_24_64);
  const __m128i stg4_5 = pair_set_epi16(cospi_24_64, cospi_8_64);
  const __m128i stg4_6 = pair_set_epi16(-cospi_24_64, -cospi_8_64);
  const __m128i stg4_7 = pair_set_epi16(-cospi_8_64, cospi_24_64);

  const __m128i stg6_0 = pair_set_epi16(-cospi_16_64, cospi_16_64);

  __m128i in0 = zero, in1 = zero, in2 = zero, in3 = zero, in4 = zero,
          in5 = zero, in6 = zero, in7 = zero, in8 = zero, in9 = zero,
          in10 = zero, in11 = zero, in12 = zero, in13 = zero,
          in14 = zero, in15 = zero;
  __m128i l0 = zero, l1 = zero, l2 = zero, l3 = zero, l4 = zero, l5 = zero,
          l6 = zero, l7 = zero, l8 = zero, l9 = zero, l10 = zero, l11 = zero,
          l12 = zero, l13 = zero, l14 = zero, l15 = zero;

  __m128i stp1_0, stp1_1, stp1_2, stp1_3, stp1_4, stp1_5, stp1_6, stp1_7,
          stp1_8, stp1_9, stp1_10, stp1_11, stp1_12, stp1_13, stp1_14, stp1_15,
          stp1_8_0, stp1_12_0;
  __m128i stp2_0, stp2_1, stp2_2, stp2_3, stp2_4, stp2_5, stp2_6, stp2_7,
          stp2_8, stp2_9, stp2_10, stp2_11, stp2_12, stp2_13, stp2_14, stp2_15;
  __m128i tmp0, tmp1, tmp2, tmp3, tmp4, tmp5, tmp6, tmp7;
  int i;
  // 1-D idct. Load input data.
  in0 = _mm_load_si128((__m128i *)input);
  in8 = _mm_load_si128((__m128i *)(input + 8 * 1));
  in1 = _mm_load_si128((__m128i *)(input + 8 * 2));
  in9 = _mm_load_si128((__m128i *)(input + 8 * 3));
  in2 = _mm_load_si128((__m128i *)(input + 8 * 4));
  in10 = _mm_load_si128((__m128i *)(input + 8 * 5));
  in3 = _mm_load_si128((__m128i *)(input + 8 * 6));
  in11 = _mm_load_si128((__m128i *)(input + 8 * 7));

  TRANSPOSE_8X4(in0, in1, in2, in3, in0, in1, in2, in3);
  TRANSPOSE_8X4(in8, in9, in10, in11, in8, in9, in10, in11);

  // Stage2
  {
    const __m128i lo_1_15 = _mm_unpackhi_epi16(in0, in11);
    const __m128i lo_9_7 = _mm_unpackhi_epi16(in8, in3);
    const __m128i lo_5_11 = _mm_unpackhi_epi16(in2, in9);
    const __m128i lo_13_3 = _mm_unpackhi_epi16(in10, in1);

    tmp0 = _mm_madd_epi16(lo_1_15, stg2_0);
    tmp2 = _mm_madd_epi16(lo_1_15, stg2_1);
    tmp4 = _mm_madd_epi16(lo_9_7, stg2_2);
    tmp6 = _mm_madd_epi16(lo_9_7, stg2_3);
    tmp1 = _mm_madd_epi16(lo_5_11, stg2_4);
    tmp3 = _mm_madd_epi16(lo_5_11, stg2_5);
    tmp5 = _mm_madd_epi16(lo_13_3, stg2_6);
    tmp7 = _mm_madd_epi16(lo_13_3, stg2_7);

    tmp0 = _mm_add_epi32(tmp0, rounding);
    tmp2 = _mm_add_epi32(tmp2, rounding);
    tmp4 = _mm_add_epi32(tmp4, rounding);
    tmp6 = _mm_add_epi32(tmp6, rounding);
    tmp1 = _mm_add_epi32(tmp1, rounding);
    tmp3 = _mm_add_epi32(tmp3, rounding);
    tmp5 = _mm_add_epi32(tmp5, rounding);
    tmp7 = _mm_add_epi32(tmp7, rounding);

    tmp0 = _mm_srai_epi32(tmp0, DCT_CONST_BITS);
    tmp2 = _mm_srai_epi32(tmp2, DCT_CONST_BITS);
    tmp4 = _mm_srai_epi32(tmp4, DCT_CONST_BITS);
    tmp6 = _mm_srai_epi32(tmp6, DCT_CONST_BITS);
    tmp1 = _mm_srai_epi32(tmp1, DCT_CONST_BITS);
    tmp3 = _mm_srai_epi32(tmp3, DCT_CONST_BITS);
    tmp5 = _mm_srai_epi32(tmp5, DCT_CONST_BITS);
    tmp7 = _mm_srai_epi32(tmp7, DCT_CONST_BITS);

    stp2_8 = _mm_packs_epi32(tmp0, zero);
    stp2_15 = _mm_packs_epi32(tmp2, zero);
    stp2_9 = _mm_packs_epi32(tmp4, zero);
    stp2_14 = _mm_packs_epi32(tmp6, zero);

    stp2_10 = _mm_packs_epi32(tmp1, zero);
    stp2_13 = _mm_packs_epi32(tmp3, zero);
    stp2_11 = _mm_packs_epi32(tmp5, zero);
    stp2_12 = _mm_packs_epi32(tmp7, zero);
  }

  // Stage3
  {
    const __m128i lo_2_14 = _mm_unpacklo_epi16(in1, in11);
    const __m128i lo_10_6 = _mm_unpacklo_epi16(in9, in3);

    tmp0 = _mm_madd_epi16(lo_2_14, stg3_0);
    tmp2 = _mm_madd_epi16(lo_2_14, stg3_1);
    tmp4 = _mm_madd_epi16(lo_10_6, stg3_2);
    tmp6 = _mm_madd_epi16(lo_10_6, stg3_3);

    tmp0 = _mm_add_epi32(tmp0, rounding);
    tmp2 = _mm_add_epi32(tmp2, rounding);
    tmp4 = _mm_add_epi32(tmp4, rounding);
    tmp6 = _mm_add_epi32(tmp6, rounding);

    tmp0 = _mm_srai_epi32(tmp0, DCT_CONST_BITS);
    tmp2 = _mm_srai_epi32(tmp2, DCT_CONST_BITS);
    tmp4 = _mm_srai_epi32(tmp4, DCT_CONST_BITS);
    tmp6 = _mm_srai_epi32(tmp6, DCT_CONST_BITS);

    stp1_4 = _mm_packs_epi32(tmp0, zero);
    stp1_7 = _mm_packs_epi32(tmp2, zero);
    stp1_5 = _mm_packs_epi32(tmp4, zero);
    stp1_6 = _mm_packs_epi32(tmp6, zero);

    stp1_8_0 = _mm_add_epi16(stp2_8, stp2_9);
    stp1_9 = _mm_sub_epi16(stp2_8, stp2_9);
    stp1_10 = _mm_sub_epi16(stp2_11, stp2_10);
    stp1_11 = _mm_add_epi16(stp2_11, stp2_10);

    stp1_12_0 = _mm_add_epi16(stp2_12, stp2_13);
    stp1_13 = _mm_sub_epi16(stp2_12, stp2_13);
    stp1_14 = _mm_sub_epi16(stp2_15, stp2_14);
    stp1_15 = _mm_add_epi16(stp2_15, stp2_14);
  }

  // Stage4
  {
    const __m128i lo_0_8 = _mm_unpacklo_epi16(in0, in8);
    const __m128i lo_4_12 = _mm_unpacklo_epi16(in2, in10);
    const __m128i lo_9_14 = _mm_unpacklo_epi16(stp1_9, stp1_14);
    const __m128i lo_10_13 = _mm_unpacklo_epi16(stp1_10, stp1_13);

    tmp0 = _mm_madd_epi16(lo_0_8, stg4_0);
    tmp2 = _mm_madd_epi16(lo_0_8, stg4_1);
    tmp4 = _mm_madd_epi16(lo_4_12, stg4_2);
    tmp6 = _mm_madd_epi16(lo_4_12, stg4_3);
    tmp1 = _mm_madd_epi16(lo_9_14, stg4_4);
    tmp3 = _mm_madd_epi16(lo_9_14, stg4_5);
    tmp5 = _mm_madd_epi16(lo_10_13, stg4_6);
    tmp7 = _mm_madd_epi16(lo_10_13, stg4_7);

    tmp0 = _mm_add_epi32(tmp0, rounding);
    tmp2 = _mm_add_epi32(tmp2, rounding);
    tmp4 = _mm_add_epi32(tmp4, rounding);
    tmp6 = _mm_add_epi32(tmp6, rounding);
    tmp1 = _mm_add_epi32(tmp1, rounding);
    tmp3 = _mm_add_epi32(tmp3, rounding);
    tmp5 = _mm_add_epi32(tmp5, rounding);
    tmp7 = _mm_add_epi32(tmp7, rounding);

    tmp0 = _mm_srai_epi32(tmp0, DCT_CONST_BITS);
    tmp2 = _mm_srai_epi32(tmp2, DCT_CONST_BITS);
    tmp4 = _mm_srai_epi32(tmp4, DCT_CONST_BITS);
    tmp6 = _mm_srai_epi32(tmp6, DCT_CONST_BITS);
    tmp1 = _mm_srai_epi32(tmp1, DCT_CONST_BITS);
    tmp3 = _mm_srai_epi32(tmp3, DCT_CONST_BITS);
    tmp5 = _mm_srai_epi32(tmp5, DCT_CONST_BITS);
    tmp7 = _mm_srai_epi32(tmp7, DCT_CONST_BITS);

    stp2_0 = _mm_packs_epi32(tmp0, zero);
    stp2_1 = _mm_packs_epi32(tmp2, zero);
    stp2_2 = _mm_packs_epi32(tmp4, zero);
    stp2_3 = _mm_packs_epi32(tmp6, zero);
    stp2_9 = _mm_packs_epi32(tmp1, zero);
    stp2_14 = _mm_packs_epi32(tmp3, zero);
    stp2_10 = _mm_packs_epi32(tmp5, zero);
    stp2_13 = _mm_packs_epi32(tmp7, zero);

    stp2_4 = _mm_add_epi16(stp1_4, stp1_5);
    stp2_5 = _mm_sub_epi16(stp1_4, stp1_5);
    stp2_6 = _mm_sub_epi16(stp1_7, stp1_6);
    stp2_7 = _mm_add_epi16(stp1_7, stp1_6);
  }

  // Stage5 and Stage6
  {
    stp1_0 = _mm_add_epi16(stp2_0, stp2_3);
    stp1_1 = _mm_add_epi16(stp2_1, stp2_2);
    stp1_2 = _mm_sub_epi16(stp2_1, stp2_2);
    stp1_3 = _mm_sub_epi16(stp2_0, stp2_3);

    stp1_8 = _mm_add_epi16(stp1_8_0, stp1_11);
    stp1_9 = _mm_add_epi16(stp2_9, stp2_10);
    stp1_10 = _mm_sub_epi16(stp2_9, stp2_10);
    stp1_11 = _mm_sub_epi16(stp1_8_0, stp1_11);

    stp1_12 = _mm_sub_epi16(stp1_15, stp1_12_0);
    stp1_13 = _mm_sub_epi16(stp2_14, stp2_13);
    stp1_14 = _mm_add_epi16(stp2_14, stp2_13);
    stp1_15 = _mm_add_epi16(stp1_15, stp1_12_0);
  }

  // Stage6
  {
    const __m128i lo_6_5 = _mm_unpacklo_epi16(stp2_6, stp2_5);
    const __m128i lo_10_13 = _mm_unpacklo_epi16(stp1_10, stp1_13);
    const __m128i lo_11_12 = _mm_unpacklo_epi16(stp1_11, stp1_12);

    tmp1 = _mm_madd_epi16(lo_6_5, stg4_1);
    tmp3 = _mm_madd_epi16(lo_6_5, stg4_0);
    tmp0 = _mm_madd_epi16(lo_10_13, stg6_0);
    tmp2 = _mm_madd_epi16(lo_10_13, stg4_0);
    tmp4 = _mm_madd_epi16(lo_11_12, stg6_0);
    tmp6 = _mm_madd_epi16(lo_11_12, stg4_0);

    tmp1 = _mm_add_epi32(tmp1, rounding);
    tmp3 = _mm_add_epi32(tmp3, rounding);
    tmp0 = _mm_add_epi32(tmp0, rounding);
    tmp2 = _mm_add_epi32(tmp2, rounding);
    tmp4 = _mm_add_epi32(tmp4, rounding);
    tmp6 = _mm_add_epi32(tmp6, rounding);

    tmp1 = _mm_srai_epi32(tmp1, DCT_CONST_BITS);
    tmp3 = _mm_srai_epi32(tmp3, DCT_CONST_BITS);
    tmp0 = _mm_srai_epi32(tmp0, DCT_CONST_BITS);
    tmp2 = _mm_srai_epi32(tmp2, DCT_CONST_BITS);
    tmp4 = _mm_srai_epi32(tmp4, DCT_CONST_BITS);
    tmp6 = _mm_srai_epi32(tmp6, DCT_CONST_BITS);

    stp1_5 = _mm_packs_epi32(tmp1, zero);
    stp1_6 = _mm_packs_epi32(tmp3, zero);
    stp2_10 = _mm_packs_epi32(tmp0, zero);
    stp2_13 = _mm_packs_epi32(tmp2, zero);
    stp2_11 = _mm_packs_epi32(tmp4, zero);
    stp2_12 = _mm_packs_epi32(tmp6, zero);

    stp2_0 = _mm_add_epi16(stp1_0, stp2_7);
    stp2_1 = _mm_add_epi16(stp1_1, stp1_6);
    stp2_2 = _mm_add_epi16(stp1_2, stp1_5);
    stp2_3 = _mm_add_epi16(stp1_3, stp2_4);
    stp2_4 = _mm_sub_epi16(stp1_3, stp2_4);
    stp2_5 = _mm_sub_epi16(stp1_2, stp1_5);
    stp2_6 = _mm_sub_epi16(stp1_1, stp1_6);
    stp2_7 = _mm_sub_epi16(stp1_0, stp2_7);
  }

  // Stage7. Left 8x16 only.
  l0 = _mm_add_epi16(stp2_0, stp1_15);
  l1 = _mm_add_epi16(stp2_1, stp1_14);
  l2 = _mm_add_epi16(stp2_2, stp2_13);
  l3 = _mm_add_epi16(stp2_3, stp2_12);
  l4 = _mm_add_epi16(stp2_4, stp2_11);
  l5 = _mm_add_epi16(stp2_5, stp2_10);
  l6 = _mm_add_epi16(stp2_6, stp1_9);
  l7 = _mm_add_epi16(stp2_7, stp1_8);
  l8 = _mm_sub_epi16(stp2_7, stp1_8);
  l9 = _mm_sub_epi16(stp2_6, stp1_9);
  l10 = _mm_sub_epi16(stp2_5, stp2_10);
  l11 = _mm_sub_epi16(stp2_4, stp2_11);
  l12 = _mm_sub_epi16(stp2_3, stp2_12);
  l13 = _mm_sub_epi16(stp2_2, stp2_13);
  l14 = _mm_sub_epi16(stp2_1, stp1_14);
  l15 = _mm_sub_epi16(stp2_0, stp1_15);

  // 2-D idct. We do 2 8x16 blocks.
  for (i = 0; i < 2; i++) {
    if (i == 0)
      TRANSPOSE_4X8(l0, l1, l2, l3, l4, l5, l6, l7, in0, in1, in2, in3, in4,
                    in5, in6, in7);

    if (i == 1)
      TRANSPOSE_4X8(l8, l9, l10, l11, l12, l13, l14, l15, in0, in1, in2, in3,
                    in4, in5, in6, in7);

    in8 = in9 = in10 = in11 = in12 = in13 = in14 = in15 = zero;

    IDCT16x16_1D

    // Stage7
    in0 = _mm_add_epi16(stp2_0, stp1_15);
    in1 = _mm_add_epi16(stp2_1, stp1_14);
    in2 = _mm_add_epi16(stp2_2, stp2_13);
    in3 = _mm_add_epi16(stp2_3, stp2_12);
    in4 = _mm_add_epi16(stp2_4, stp2_11);
    in5 = _mm_add_epi16(stp2_5, stp2_10);
    in6 = _mm_add_epi16(stp2_6, stp1_9);
    in7 = _mm_add_epi16(stp2_7, stp1_8);
    in8 = _mm_sub_epi16(stp2_7, stp1_8);
    in9 = _mm_sub_epi16(stp2_6, stp1_9);
    in10 = _mm_sub_epi16(stp2_5, stp2_10);
    in11 = _mm_sub_epi16(stp2_4, stp2_11);
    in12 = _mm_sub_epi16(stp2_3, stp2_12);
    in13 = _mm_sub_epi16(stp2_2, stp2_13);
    in14 = _mm_sub_epi16(stp2_1, stp1_14);
    in15 = _mm_sub_epi16(stp2_0, stp1_15);

    // Final rounding and shift
    in0 = _mm_adds_epi16(in0, final_rounding);
    in1 = _mm_adds_epi16(in1, final_rounding);
    in2 = _mm_adds_epi16(in2, final_rounding);
    in3 = _mm_adds_epi16(in3, final_rounding);
    in4 = _mm_adds_epi16(in4, final_rounding);
    in5 = _mm_adds_epi16(in5, final_rounding);
    in6 = _mm_adds_epi16(in6, final_rounding);
    in7 = _mm_adds_epi16(in7, final_rounding);
    in8 = _mm_adds_epi16(in8, final_rounding);
    in9 = _mm_adds_epi16(in9, final_rounding);
    in10 = _mm_adds_epi16(in10, final_rounding);
    in11 = _mm_adds_epi16(in11, final_rounding);
    in12 = _mm_adds_epi16(in12, final_rounding);
    in13 = _mm_adds_epi16(in13, final_rounding);
    in14 = _mm_adds_epi16(in14, final_rounding);
    in15 = _mm_adds_epi16(in15, final_rounding);

    in0 = _mm_srai_epi16(in0, 6);
    in1 = _mm_srai_epi16(in1, 6);
    in2 = _mm_srai_epi16(in2, 6);
    in3 = _mm_srai_epi16(in3, 6);
    in4 = _mm_srai_epi16(in4, 6);
    in5 = _mm_srai_epi16(in5, 6);
    in6 = _mm_srai_epi16(in6, 6);
    in7 = _mm_srai_epi16(in7, 6);
    in8 = _mm_srai_epi16(in8, 6);
    in9 = _mm_srai_epi16(in9, 6);
    in10 = _mm_srai_epi16(in10, 6);
    in11 = _mm_srai_epi16(in11, 6);
    in12 = _mm_srai_epi16(in12, 6);
    in13 = _mm_srai_epi16(in13, 6);
    in14 = _mm_srai_epi16(in14, 6);
    in15 = _mm_srai_epi16(in15, 6);

    RECON_AND_STORE(dest, in0);
    RECON_AND_STORE(dest, in1);
    RECON_AND_STORE(dest, in2);
    RECON_AND_STORE(dest, in3);
    RECON_AND_STORE(dest, in4);
    RECON_AND_STORE(dest, in5);
    RECON_AND_STORE(dest, in6);
    RECON_AND_STORE(dest, in7);
    RECON_AND_STORE(dest, in8);
    RECON_AND_STORE(dest, in9);
    RECON_AND_STORE(dest, in10);
    RECON_AND_STORE(dest, in11);
    RECON_AND_STORE(dest, in12);
    RECON_AND_STORE(dest, in13);
    RECON_AND_STORE(dest, in14);
    RECON_AND_STORE(dest, in15);

    dest += 8 - (stride * 16);
  }
}

#define LOAD_DQCOEFF(reg, input) \
  {  \
    reg = _mm_load_si128((__m128i *) input); \
    input += 8; \
  }  \

void vp9_short_idct32x32_add_sse2(int16_t *input, uint8_t *dest, int stride) {
  const __m128i rounding = _mm_set1_epi32(DCT_CONST_ROUNDING);
  const __m128i final_rounding = _mm_set1_epi16(1<<5);

  // idct constants for each stage
  const __m128i stg1_0 = pair_set_epi16(cospi_31_64, -cospi_1_64);
  const __m128i stg1_1 = pair_set_epi16(cospi_1_64, cospi_31_64);
  const __m128i stg1_2 = pair_set_epi16(cospi_15_64, -cospi_17_64);
  const __m128i stg1_3 = pair_set_epi16(cospi_17_64, cospi_15_64);
  const __m128i stg1_4 = pair_set_epi16(cospi_23_64, -cospi_9_64);
  const __m128i stg1_5 = pair_set_epi16(cospi_9_64, cospi_23_64);
  const __m128i stg1_6 = pair_set_epi16(cospi_7_64, -cospi_25_64);
  const __m128i stg1_7 = pair_set_epi16(cospi_25_64, cospi_7_64);
  const __m128i stg1_8 = pair_set_epi16(cospi_27_64, -cospi_5_64);
  const __m128i stg1_9 = pair_set_epi16(cospi_5_64, cospi_27_64);
  const __m128i stg1_10 = pair_set_epi16(cospi_11_64, -cospi_21_64);
  const __m128i stg1_11 = pair_set_epi16(cospi_21_64, cospi_11_64);
  const __m128i stg1_12 = pair_set_epi16(cospi_19_64, -cospi_13_64);
  const __m128i stg1_13 = pair_set_epi16(cospi_13_64, cospi_19_64);
  const __m128i stg1_14 = pair_set_epi16(cospi_3_64, -cospi_29_64);
  const __m128i stg1_15 = pair_set_epi16(cospi_29_64, cospi_3_64);

  const __m128i stg2_0 = pair_set_epi16(cospi_30_64, -cospi_2_64);
  const __m128i stg2_1 = pair_set_epi16(cospi_2_64, cospi_30_64);
  const __m128i stg2_2 = pair_set_epi16(cospi_14_64, -cospi_18_64);
  const __m128i stg2_3 = pair_set_epi16(cospi_18_64, cospi_14_64);
  const __m128i stg2_4 = pair_set_epi16(cospi_22_64, -cospi_10_64);
  const __m128i stg2_5 = pair_set_epi16(cospi_10_64, cospi_22_64);
  const __m128i stg2_6 = pair_set_epi16(cospi_6_64, -cospi_26_64);
  const __m128i stg2_7 = pair_set_epi16(cospi_26_64, cospi_6_64);

  const __m128i stg3_0 = pair_set_epi16(cospi_28_64, -cospi_4_64);
  const __m128i stg3_1 = pair_set_epi16(cospi_4_64, cospi_28_64);
  const __m128i stg3_2 = pair_set_epi16(cospi_12_64, -cospi_20_64);
  const __m128i stg3_3 = pair_set_epi16(cospi_20_64, cospi_12_64);
  const __m128i stg3_4 = pair_set_epi16(-cospi_4_64, cospi_28_64);
  const __m128i stg3_5 = pair_set_epi16(cospi_28_64, cospi_4_64);
  const __m128i stg3_6 = pair_set_epi16(-cospi_28_64, -cospi_4_64);
  const __m128i stg3_8 = pair_set_epi16(-cospi_20_64, cospi_12_64);
  const __m128i stg3_9 = pair_set_epi16(cospi_12_64, cospi_20_64);
  const __m128i stg3_10 = pair_set_epi16(-cospi_12_64, -cospi_20_64);

  const __m128i stg4_0 = pair_set_epi16(cospi_16_64, cospi_16_64);
  const __m128i stg4_1 = pair_set_epi16(cospi_16_64, -cospi_16_64);
  const __m128i stg4_2 = pair_set_epi16(cospi_24_64, -cospi_8_64);
  const __m128i stg4_3 = pair_set_epi16(cospi_8_64, cospi_24_64);
  const __m128i stg4_4 = pair_set_epi16(-cospi_8_64, cospi_24_64);
  const __m128i stg4_5 = pair_set_epi16(cospi_24_64, cospi_8_64);
  const __m128i stg4_6 = pair_set_epi16(-cospi_24_64, -cospi_8_64);

  const __m128i stg6_0 = pair_set_epi16(-cospi_16_64, cospi_16_64);

  __m128i in0, in1, in2, in3, in4, in5, in6, in7, in8, in9, in10, in11, in12,
          in13, in14, in15, in16, in17, in18, in19, in20, in21, in22, in23,
          in24, in25, in26, in27, in28, in29, in30, in31;
  __m128i col[128];
  __m128i stp1_0, stp1_1, stp1_2, stp1_3, stp1_4, stp1_5, stp1_6, stp1_7,
          stp1_8, stp1_9, stp1_10, stp1_11, stp1_12, stp1_13, stp1_14, stp1_15,
          stp1_16, stp1_17, stp1_18, stp1_19, stp1_20, stp1_21, stp1_22,
          stp1_23, stp1_24, stp1_25, stp1_26, stp1_27, stp1_28, stp1_29,
          stp1_30, stp1_31;
  __m128i stp2_0, stp2_1, stp2_2, stp2_3, stp2_4, stp2_5, stp2_6, stp2_7,
          stp2_8, stp2_9, stp2_10, stp2_11, stp2_12, stp2_13, stp2_14, stp2_15,
          stp2_16, stp2_17, stp2_18, stp2_19, stp2_20, stp2_21, stp2_22,
          stp2_23, stp2_24, stp2_25, stp2_26, stp2_27, stp2_28, stp2_29,
          stp2_30, stp2_31;
  __m128i tmp0, tmp1, tmp2, tmp3, tmp4, tmp5, tmp6, tmp7;
  int i, j, i32;
  __m128i zero_idx[16];
  int zero_flag[2];

  // We work on a 8x32 block each time, and loop 8 times for 2-D 32x32 idct.
  for (i = 0; i < 8; i++) {
    i32 = (i << 5);
    if (i < 4) {
      // First 1-D idct
      // Load input data.
      LOAD_DQCOEFF(in0, input);
      LOAD_DQCOEFF(in8, input);
      LOAD_DQCOEFF(in16, input);
      LOAD_DQCOEFF(in24, input);
      LOAD_DQCOEFF(in1, input);
      LOAD_DQCOEFF(in9, input);
      LOAD_DQCOEFF(in17, input);
      LOAD_DQCOEFF(in25, input);
      LOAD_DQCOEFF(in2, input);
      LOAD_DQCOEFF(in10, input);
      LOAD_DQCOEFF(in18, input);
      LOAD_DQCOEFF(in26, input);
      LOAD_DQCOEFF(in3, input);
      LOAD_DQCOEFF(in11, input);
      LOAD_DQCOEFF(in19, input);
      LOAD_DQCOEFF(in27, input);

      LOAD_DQCOEFF(in4, input);
      LOAD_DQCOEFF(in12, input);
      LOAD_DQCOEFF(in20, input);
      LOAD_DQCOEFF(in28, input);
      LOAD_DQCOEFF(in5, input);
      LOAD_DQCOEFF(in13, input);
      LOAD_DQCOEFF(in21, input);
      LOAD_DQCOEFF(in29, input);
      LOAD_DQCOEFF(in6, input);
      LOAD_DQCOEFF(in14, input);
      LOAD_DQCOEFF(in22, input);
      LOAD_DQCOEFF(in30, input);
      LOAD_DQCOEFF(in7, input);
      LOAD_DQCOEFF(in15, input);
      LOAD_DQCOEFF(in23, input);
      LOAD_DQCOEFF(in31, input);

      // checking if all entries are zero
      zero_idx[0] = _mm_or_si128(in0, in1);
      zero_idx[1] = _mm_or_si128(in2, in3);
      zero_idx[2] = _mm_or_si128(in4, in5);
      zero_idx[3] = _mm_or_si128(in6, in7);
      zero_idx[4] = _mm_or_si128(in8, in9);
      zero_idx[5] = _mm_or_si128(in10, in11);
      zero_idx[6] = _mm_or_si128(in12, in13);
      zero_idx[7] = _mm_or_si128(in14, in15);
      zero_idx[8] = _mm_or_si128(in16, in17);
      zero_idx[9] = _mm_or_si128(in18, in19);
      zero_idx[10] = _mm_or_si128(in20, in21);
      zero_idx[11] = _mm_or_si128(in22, in23);
      zero_idx[12] = _mm_or_si128(in24, in25);
      zero_idx[13] = _mm_or_si128(in26, in27);
      zero_idx[14] = _mm_or_si128(in28, in29);
      zero_idx[15] = _mm_or_si128(in30, in31);

      zero_idx[0] = _mm_or_si128(zero_idx[0], zero_idx[1]);
      zero_idx[1] = _mm_or_si128(zero_idx[2], zero_idx[3]);
      zero_idx[2] = _mm_or_si128(zero_idx[4], zero_idx[5]);
      zero_idx[3] = _mm_or_si128(zero_idx[6], zero_idx[7]);
      zero_idx[4] = _mm_or_si128(zero_idx[8], zero_idx[9]);
      zero_idx[5] = _mm_or_si128(zero_idx[10], zero_idx[11]);
      zero_idx[6] = _mm_or_si128(zero_idx[12], zero_idx[13]);
      zero_idx[7] = _mm_or_si128(zero_idx[14], zero_idx[15]);

      zero_idx[8] = _mm_or_si128(zero_idx[0], zero_idx[1]);
      zero_idx[9] = _mm_or_si128(zero_idx[2], zero_idx[3]);
      zero_idx[10] = _mm_or_si128(zero_idx[4], zero_idx[5]);
      zero_idx[11] = _mm_or_si128(zero_idx[6], zero_idx[7]);
      zero_idx[12] = _mm_or_si128(zero_idx[8], zero_idx[9]);
      zero_idx[13] = _mm_or_si128(zero_idx[10], zero_idx[11]);
      zero_idx[14] = _mm_or_si128(zero_idx[12], zero_idx[13]);

      zero_idx[0] = _mm_unpackhi_epi64(zero_idx[14], zero_idx[14]);
      zero_idx[1] = _mm_or_si128(zero_idx[0], zero_idx[14]);
      zero_idx[2] = _mm_srli_epi64(zero_idx[1], 32);
      zero_flag[0] = _mm_cvtsi128_si32(zero_idx[1]);
      zero_flag[1] = _mm_cvtsi128_si32(zero_idx[2]);

      if (!zero_flag[0] && !zero_flag[1]) {
        col[i32 + 0] = _mm_setzero_si128();
        col[i32 + 1] = _mm_setzero_si128();
        col[i32 + 2] = _mm_setzero_si128();
        col[i32 + 3] = _mm_setzero_si128();
        col[i32 + 4] = _mm_setzero_si128();
        col[i32 + 5] = _mm_setzero_si128();
        col[i32 + 6] = _mm_setzero_si128();
        col[i32 + 7] = _mm_setzero_si128();
        col[i32 + 8] = _mm_setzero_si128();
        col[i32 + 9] = _mm_setzero_si128();
        col[i32 + 10] = _mm_setzero_si128();
        col[i32 + 11] = _mm_setzero_si128();
        col[i32 + 12] = _mm_setzero_si128();
        col[i32 + 13] = _mm_setzero_si128();
        col[i32 + 14] = _mm_setzero_si128();
        col[i32 + 15] = _mm_setzero_si128();
        col[i32 + 16] = _mm_setzero_si128();
        col[i32 + 17] = _mm_setzero_si128();
        col[i32 + 18] = _mm_setzero_si128();
        col[i32 + 19] = _mm_setzero_si128();
        col[i32 + 20] = _mm_setzero_si128();
        col[i32 + 21] = _mm_setzero_si128();
        col[i32 + 22] = _mm_setzero_si128();
        col[i32 + 23] = _mm_setzero_si128();
        col[i32 + 24] = _mm_setzero_si128();
        col[i32 + 25] = _mm_setzero_si128();
        col[i32 + 26] = _mm_setzero_si128();
        col[i32 + 27] = _mm_setzero_si128();
        col[i32 + 28] = _mm_setzero_si128();
        col[i32 + 29] = _mm_setzero_si128();
        col[i32 + 30] = _mm_setzero_si128();
        col[i32 + 31] = _mm_setzero_si128();
        continue;
      }

      // Transpose 32x8 block to 8x32 block
      TRANSPOSE_8X8(in0, in1, in2, in3, in4, in5, in6, in7, in0, in1, in2, in3,
                    in4, in5, in6, in7);
      TRANSPOSE_8X8(in8, in9, in10, in11, in12, in13, in14, in15, in8, in9,
                    in10, in11, in12, in13, in14, in15);
      TRANSPOSE_8X8(in16, in17, in18, in19, in20, in21, in22, in23, in16, in17,
                    in18, in19, in20, in21, in22, in23);
      TRANSPOSE_8X8(in24, in25, in26, in27, in28, in29, in30, in31, in24, in25,
                    in26, in27, in28, in29, in30, in31);
    } else {
      // Second 1-D idct
      j = i - 4;

      // Transpose 32x8 block to 8x32 block
      TRANSPOSE_8X8(col[j * 8 + 0], col[j * 8 + 1], col[j * 8 + 2],
                    col[j * 8 + 3], col[j * 8 + 4], col[j * 8 + 5],
                    col[j * 8 + 6], col[j * 8 + 7], in0, in1, in2, in3, in4,
                    in5, in6, in7);
      j += 4;
      TRANSPOSE_8X8(col[j * 8 + 0], col[j * 8 + 1], col[j * 8 + 2],
                    col[j * 8 + 3], col[j * 8 + 4], col[j * 8 + 5],
                    col[j * 8 + 6], col[j * 8 + 7], in8, in9, in10,
                    in11, in12, in13, in14, in15);
      j += 4;
      TRANSPOSE_8X8(col[j * 8 + 0], col[j * 8 + 1], col[j * 8 + 2],
                    col[j * 8 + 3], col[j * 8 + 4], col[j * 8 + 5],
                    col[j * 8 + 6], col[j * 8 + 7], in16, in17, in18,
                    in19, in20, in21, in22, in23);
      j += 4;
      TRANSPOSE_8X8(col[j * 8 + 0], col[j * 8 + 1], col[j * 8 + 2],
                    col[j * 8 + 3], col[j * 8 + 4], col[j * 8 + 5],
                    col[j * 8 + 6], col[j * 8 + 7], in24, in25, in26, in27,
                    in28, in29, in30, in31);
    }

    // Stage1
    {
      const __m128i lo_1_31 = _mm_unpacklo_epi16(in1, in31);
      const __m128i hi_1_31 = _mm_unpackhi_epi16(in1, in31);
      const __m128i lo_17_15 = _mm_unpacklo_epi16(in17, in15);
      const __m128i hi_17_15 = _mm_unpackhi_epi16(in17, in15);

      const __m128i lo_9_23 = _mm_unpacklo_epi16(in9, in23);
      const __m128i hi_9_23 = _mm_unpackhi_epi16(in9, in23);
      const __m128i lo_25_7= _mm_unpacklo_epi16(in25, in7);
      const __m128i hi_25_7 = _mm_unpackhi_epi16(in25, in7);

      const __m128i lo_5_27 = _mm_unpacklo_epi16(in5, in27);
      const __m128i hi_5_27 = _mm_unpackhi_epi16(in5, in27);
      const __m128i lo_21_11 = _mm_unpacklo_epi16(in21, in11);
      const __m128i hi_21_11 = _mm_unpackhi_epi16(in21, in11);

      const __m128i lo_13_19 = _mm_unpacklo_epi16(in13, in19);
      const __m128i hi_13_19 = _mm_unpackhi_epi16(in13, in19);
      const __m128i lo_29_3 = _mm_unpacklo_epi16(in29, in3);
      const __m128i hi_29_3 = _mm_unpackhi_epi16(in29, in3);

      MULTIPLICATION_AND_ADD(lo_1_31, hi_1_31, lo_17_15, hi_17_15, stg1_0,
                             stg1_1, stg1_2, stg1_3, stp1_16, stp1_31,
                             stp1_17, stp1_30)
      MULTIPLICATION_AND_ADD(lo_9_23, hi_9_23, lo_25_7, hi_25_7, stg1_4,
                             stg1_5, stg1_6, stg1_7, stp1_18, stp1_29,
                             stp1_19, stp1_28)
      MULTIPLICATION_AND_ADD(lo_5_27, hi_5_27, lo_21_11, hi_21_11, stg1_8,
                             stg1_9, stg1_10, stg1_11, stp1_20, stp1_27,
                             stp1_21, stp1_26)
      MULTIPLICATION_AND_ADD(lo_13_19, hi_13_19, lo_29_3, hi_29_3, stg1_12,
                             stg1_13, stg1_14, stg1_15, stp1_22, stp1_25,
                             stp1_23, stp1_24)
    }

    // Stage2
    {
      const __m128i lo_2_30 = _mm_unpacklo_epi16(in2, in30);
      const __m128i hi_2_30 = _mm_unpackhi_epi16(in2, in30);
      const __m128i lo_18_14 = _mm_unpacklo_epi16(in18, in14);
      const __m128i hi_18_14 = _mm_unpackhi_epi16(in18, in14);

      const __m128i lo_10_22 = _mm_unpacklo_epi16(in10, in22);
      const __m128i hi_10_22 = _mm_unpackhi_epi16(in10, in22);
      const __m128i lo_26_6 = _mm_unpacklo_epi16(in26, in6);
      const __m128i hi_26_6 = _mm_unpackhi_epi16(in26, in6);

      MULTIPLICATION_AND_ADD(lo_2_30, hi_2_30, lo_18_14, hi_18_14, stg2_0,
                             stg2_1, stg2_2, stg2_3, stp2_8, stp2_15, stp2_9,
                             stp2_14)
      MULTIPLICATION_AND_ADD(lo_10_22, hi_10_22, lo_26_6, hi_26_6, stg2_4,
                             stg2_5, stg2_6, stg2_7, stp2_10, stp2_13,
                             stp2_11, stp2_12)

      stp2_16 = _mm_add_epi16(stp1_16, stp1_17);
      stp2_17 = _mm_sub_epi16(stp1_16, stp1_17);
      stp2_18 = _mm_sub_epi16(stp1_19, stp1_18);
      stp2_19 = _mm_add_epi16(stp1_19, stp1_18);

      stp2_20 = _mm_add_epi16(stp1_20, stp1_21);
      stp2_21 = _mm_sub_epi16(stp1_20, stp1_21);
      stp2_22 = _mm_sub_epi16(stp1_23, stp1_22);
      stp2_23 = _mm_add_epi16(stp1_23, stp1_22);

      stp2_24 = _mm_add_epi16(stp1_24, stp1_25);
      stp2_25 = _mm_sub_epi16(stp1_24, stp1_25);
      stp2_26 = _mm_sub_epi16(stp1_27, stp1_26);
      stp2_27 = _mm_add_epi16(stp1_27, stp1_26);

      stp2_28 = _mm_add_epi16(stp1_28, stp1_29);
      stp2_29 = _mm_sub_epi16(stp1_28, stp1_29);
      stp2_30 = _mm_sub_epi16(stp1_31, stp1_30);
      stp2_31 = _mm_add_epi16(stp1_31, stp1_30);
    }

    // Stage3
    {
      const __m128i lo_4_28 = _mm_unpacklo_epi16(in4, in28);
      const __m128i hi_4_28 = _mm_unpackhi_epi16(in4, in28);
      const __m128i lo_20_12 = _mm_unpacklo_epi16(in20, in12);
      const __m128i hi_20_12 = _mm_unpackhi_epi16(in20, in12);

      const __m128i lo_17_30 = _mm_unpacklo_epi16(stp2_17, stp2_30);
      const __m128i hi_17_30 = _mm_unpackhi_epi16(stp2_17, stp2_30);
      const __m128i lo_18_29 = _mm_unpacklo_epi16(stp2_18, stp2_29);
      const __m128i hi_18_29 = _mm_unpackhi_epi16(stp2_18, stp2_29);

      const __m128i lo_21_26 = _mm_unpacklo_epi16(stp2_21, stp2_26);
      const __m128i hi_21_26 = _mm_unpackhi_epi16(stp2_21, stp2_26);
      const __m128i lo_22_25 = _mm_unpacklo_epi16(stp2_22, stp2_25);
      const __m128i hi_22_25 = _mm_unpackhi_epi16(stp2_22, stp2_25);

      MULTIPLICATION_AND_ADD(lo_4_28, hi_4_28, lo_20_12, hi_20_12, stg3_0,
                             stg3_1, stg3_2, stg3_3, stp1_4, stp1_7, stp1_5,
                             stp1_6)

      stp1_8 = _mm_add_epi16(stp2_8, stp2_9);
      stp1_9 = _mm_sub_epi16(stp2_8, stp2_9);
      stp1_10 = _mm_sub_epi16(stp2_11, stp2_10);
      stp1_11 = _mm_add_epi16(stp2_11, stp2_10);
      stp1_12 = _mm_add_epi16(stp2_12, stp2_13);
      stp1_13 = _mm_sub_epi16(stp2_12, stp2_13);
      stp1_14 = _mm_sub_epi16(stp2_15, stp2_14);
      stp1_15 = _mm_add_epi16(stp2_15, stp2_14);

      MULTIPLICATION_AND_ADD(lo_17_30, hi_17_30, lo_18_29, hi_18_29, stg3_4,
                             stg3_5, stg3_6, stg3_4, stp1_17, stp1_30,
                             stp1_18, stp1_29)
      MULTIPLICATION_AND_ADD(lo_21_26, hi_21_26, lo_22_25, hi_22_25, stg3_8,
                             stg3_9, stg3_10, stg3_8, stp1_21, stp1_26,
                             stp1_22, stp1_25)

      stp1_16 = stp2_16;
      stp1_31 = stp2_31;
      stp1_19 = stp2_19;
      stp1_20 = stp2_20;
      stp1_23 = stp2_23;
      stp1_24 = stp2_24;
      stp1_27 = stp2_27;
      stp1_28 = stp2_28;
    }

    // Stage4
    {
      const __m128i lo_0_16 = _mm_unpacklo_epi16(in0, in16);
      const __m128i hi_0_16 = _mm_unpackhi_epi16(in0, in16);
      const __m128i lo_8_24 = _mm_unpacklo_epi16(in8, in24);
      const __m128i hi_8_24 = _mm_unpackhi_epi16(in8, in24);

      const __m128i lo_9_14 = _mm_unpacklo_epi16(stp1_9, stp1_14);
      const __m128i hi_9_14 = _mm_unpackhi_epi16(stp1_9, stp1_14);
      const __m128i lo_10_13 = _mm_unpacklo_epi16(stp1_10, stp1_13);
      const __m128i hi_10_13 = _mm_unpackhi_epi16(stp1_10, stp1_13);

      MULTIPLICATION_AND_ADD(lo_0_16, hi_0_16, lo_8_24, hi_8_24, stg4_0,
                             stg4_1, stg4_2, stg4_3, stp2_0, stp2_1,
                             stp2_2, stp2_3)

      stp2_4 = _mm_add_epi16(stp1_4, stp1_5);
      stp2_5 = _mm_sub_epi16(stp1_4, stp1_5);
      stp2_6 = _mm_sub_epi16(stp1_7, stp1_6);
      stp2_7 = _mm_add_epi16(stp1_7, stp1_6);

      MULTIPLICATION_AND_ADD(lo_9_14, hi_9_14, lo_10_13, hi_10_13, stg4_4,
                             stg4_5, stg4_6, stg4_4, stp2_9, stp2_14,
                             stp2_10, stp2_13)

      stp2_8 = stp1_8;
      stp2_15 = stp1_15;
      stp2_11 = stp1_11;
      stp2_12 = stp1_12;

      stp2_16 = _mm_add_epi16(stp1_16, stp1_19);
      stp2_17 = _mm_add_epi16(stp1_17, stp1_18);
      stp2_18 = _mm_sub_epi16(stp1_17, stp1_18);
      stp2_19 = _mm_sub_epi16(stp1_16, stp1_19);
      stp2_20 = _mm_sub_epi16(stp1_23, stp1_20);
      stp2_21 = _mm_sub_epi16(stp1_22, stp1_21);
      stp2_22 = _mm_add_epi16(stp1_22, stp1_21);
      stp2_23 = _mm_add_epi16(stp1_23, stp1_20);

      stp2_24 = _mm_add_epi16(stp1_24, stp1_27);
      stp2_25 = _mm_add_epi16(stp1_25, stp1_26);
      stp2_26 = _mm_sub_epi16(stp1_25, stp1_26);
      stp2_27 = _mm_sub_epi16(stp1_24, stp1_27);
      stp2_28 = _mm_sub_epi16(stp1_31, stp1_28);
      stp2_29 = _mm_sub_epi16(stp1_30, stp1_29);
      stp2_30 = _mm_add_epi16(stp1_29, stp1_30);
      stp2_31 = _mm_add_epi16(stp1_28, stp1_31);
    }

    // Stage5
    {
      const __m128i lo_6_5 = _mm_unpacklo_epi16(stp2_6, stp2_5);
      const __m128i hi_6_5 = _mm_unpackhi_epi16(stp2_6, stp2_5);
      const __m128i lo_18_29 = _mm_unpacklo_epi16(stp2_18, stp2_29);
      const __m128i hi_18_29 = _mm_unpackhi_epi16(stp2_18, stp2_29);

      const __m128i lo_19_28 = _mm_unpacklo_epi16(stp2_19, stp2_28);
      const __m128i hi_19_28 = _mm_unpackhi_epi16(stp2_19, stp2_28);
      const __m128i lo_20_27 = _mm_unpacklo_epi16(stp2_20, stp2_27);
      const __m128i hi_20_27 = _mm_unpackhi_epi16(stp2_20, stp2_27);

      const __m128i lo_21_26 = _mm_unpacklo_epi16(stp2_21, stp2_26);
      const __m128i hi_21_26 = _mm_unpackhi_epi16(stp2_21, stp2_26);

      stp1_0 = _mm_add_epi16(stp2_0, stp2_3);
      stp1_1 = _mm_add_epi16(stp2_1, stp2_2);
      stp1_2 = _mm_sub_epi16(stp2_1, stp2_2);
      stp1_3 = _mm_sub_epi16(stp2_0, stp2_3);

      tmp0 = _mm_madd_epi16(lo_6_5, stg4_1);
      tmp1 = _mm_madd_epi16(hi_6_5, stg4_1);
      tmp2 = _mm_madd_epi16(lo_6_5, stg4_0);
      tmp3 = _mm_madd_epi16(hi_6_5, stg4_0);

      tmp0 = _mm_add_epi32(tmp0, rounding);
      tmp1 = _mm_add_epi32(tmp1, rounding);
      tmp2 = _mm_add_epi32(tmp2, rounding);
      tmp3 = _mm_add_epi32(tmp3, rounding);

      tmp0 = _mm_srai_epi32(tmp0, DCT_CONST_BITS);
      tmp1 = _mm_srai_epi32(tmp1, DCT_CONST_BITS);
      tmp2 = _mm_srai_epi32(tmp2, DCT_CONST_BITS);
      tmp3 = _mm_srai_epi32(tmp3, DCT_CONST_BITS);

      stp1_5 = _mm_packs_epi32(tmp0, tmp1);
      stp1_6 = _mm_packs_epi32(tmp2, tmp3);

      stp1_4 = stp2_4;
      stp1_7 = stp2_7;

      stp1_8 = _mm_add_epi16(stp2_8, stp2_11);
      stp1_9 = _mm_add_epi16(stp2_9, stp2_10);
      stp1_10 = _mm_sub_epi16(stp2_9, stp2_10);
      stp1_11 = _mm_sub_epi16(stp2_8, stp2_11);
      stp1_12 = _mm_sub_epi16(stp2_15, stp2_12);
      stp1_13 = _mm_sub_epi16(stp2_14, stp2_13);
      stp1_14 = _mm_add_epi16(stp2_14, stp2_13);
      stp1_15 = _mm_add_epi16(stp2_15, stp2_12);

      stp1_16 = stp2_16;
      stp1_17 = stp2_17;

      MULTIPLICATION_AND_ADD(lo_18_29, hi_18_29, lo_19_28, hi_19_28, stg4_4,
                             stg4_5, stg4_4, stg4_5, stp1_18, stp1_29,
                             stp1_19, stp1_28)
      MULTIPLICATION_AND_ADD(lo_20_27, hi_20_27, lo_21_26, hi_21_26, stg4_6,
                             stg4_4, stg4_6, stg4_4, stp1_20, stp1_27,
                             stp1_21, stp1_26)

      stp1_22 = stp2_22;
      stp1_23 = stp2_23;
      stp1_24 = stp2_24;
      stp1_25 = stp2_25;
      stp1_30 = stp2_30;
      stp1_31 = stp2_31;
    }

    // Stage6
    {
      const __m128i lo_10_13 = _mm_unpacklo_epi16(stp1_10, stp1_13);
      const __m128i hi_10_13 = _mm_unpackhi_epi16(stp1_10, stp1_13);
      const __m128i lo_11_12 = _mm_unpacklo_epi16(stp1_11, stp1_12);
      const __m128i hi_11_12 = _mm_unpackhi_epi16(stp1_11, stp1_12);

      stp2_0 = _mm_add_epi16(stp1_0, stp1_7);
      stp2_1 = _mm_add_epi16(stp1_1, stp1_6);
      stp2_2 = _mm_add_epi16(stp1_2, stp1_5);
      stp2_3 = _mm_add_epi16(stp1_3, stp1_4);
      stp2_4 = _mm_sub_epi16(stp1_3, stp1_4);
      stp2_5 = _mm_sub_epi16(stp1_2, stp1_5);
      stp2_6 = _mm_sub_epi16(stp1_1, stp1_6);
      stp2_7 = _mm_sub_epi16(stp1_0, stp1_7);

      stp2_8 = stp1_8;
      stp2_9 = stp1_9;
      stp2_14 = stp1_14;
      stp2_15 = stp1_15;

      MULTIPLICATION_AND_ADD(lo_10_13, hi_10_13, lo_11_12, hi_11_12,
                             stg6_0, stg4_0, stg6_0, stg4_0, stp2_10,
                             stp2_13, stp2_11, stp2_12)

      stp2_16 = _mm_add_epi16(stp1_16, stp1_23);
      stp2_17 = _mm_add_epi16(stp1_17, stp1_22);
      stp2_18 = _mm_add_epi16(stp1_18, stp1_21);
      stp2_19 = _mm_add_epi16(stp1_19, stp1_20);
      stp2_20 = _mm_sub_epi16(stp1_19, stp1_20);
      stp2_21 = _mm_sub_epi16(stp1_18, stp1_21);
      stp2_22 = _mm_sub_epi16(stp1_17, stp1_22);
      stp2_23 = _mm_sub_epi16(stp1_16, stp1_23);

      stp2_24 = _mm_sub_epi16(stp1_31, stp1_24);
      stp2_25 = _mm_sub_epi16(stp1_30, stp1_25);
      stp2_26 = _mm_sub_epi16(stp1_29, stp1_26);
      stp2_27 = _mm_sub_epi16(stp1_28, stp1_27);
      stp2_28 = _mm_add_epi16(stp1_27, stp1_28);
      stp2_29 = _mm_add_epi16(stp1_26, stp1_29);
      stp2_30 = _mm_add_epi16(stp1_25, stp1_30);
      stp2_31 = _mm_add_epi16(stp1_24, stp1_31);
    }

    // Stage7
    {
      const __m128i lo_20_27 = _mm_unpacklo_epi16(stp2_20, stp2_27);
      const __m128i hi_20_27 = _mm_unpackhi_epi16(stp2_20, stp2_27);
      const __m128i lo_21_26 = _mm_unpacklo_epi16(stp2_21, stp2_26);
      const __m128i hi_21_26 = _mm_unpackhi_epi16(stp2_21, stp2_26);

      const __m128i lo_22_25 = _mm_unpacklo_epi16(stp2_22, stp2_25);
      const __m128i hi_22_25 = _mm_unpackhi_epi16(stp2_22, stp2_25);
      const __m128i lo_23_24 = _mm_unpacklo_epi16(stp2_23, stp2_24);
      const __m128i hi_23_24 = _mm_unpackhi_epi16(stp2_23, stp2_24);

      stp1_0 = _mm_add_epi16(stp2_0, stp2_15);
      stp1_1 = _mm_add_epi16(stp2_1, stp2_14);
      stp1_2 = _mm_add_epi16(stp2_2, stp2_13);
      stp1_3 = _mm_add_epi16(stp2_3, stp2_12);
      stp1_4 = _mm_add_epi16(stp2_4, stp2_11);
      stp1_5 = _mm_add_epi16(stp2_5, stp2_10);
      stp1_6 = _mm_add_epi16(stp2_6, stp2_9);
      stp1_7 = _mm_add_epi16(stp2_7, stp2_8);
      stp1_8 = _mm_sub_epi16(stp2_7, stp2_8);
      stp1_9 = _mm_sub_epi16(stp2_6, stp2_9);
      stp1_10 = _mm_sub_epi16(stp2_5, stp2_10);
      stp1_11 = _mm_sub_epi16(stp2_4, stp2_11);
      stp1_12 = _mm_sub_epi16(stp2_3, stp2_12);
      stp1_13 = _mm_sub_epi16(stp2_2, stp2_13);
      stp1_14 = _mm_sub_epi16(stp2_1, stp2_14);
      stp1_15 = _mm_sub_epi16(stp2_0, stp2_15);

      stp1_16 = stp2_16;
      stp1_17 = stp2_17;
      stp1_18 = stp2_18;
      stp1_19 = stp2_19;

      MULTIPLICATION_AND_ADD(lo_20_27, hi_20_27, lo_21_26, hi_21_26, stg6_0,
                             stg4_0, stg6_0, stg4_0, stp1_20, stp1_27,
                             stp1_21, stp1_26)
      MULTIPLICATION_AND_ADD(lo_22_25, hi_22_25, lo_23_24, hi_23_24, stg6_0,
                             stg4_0, stg6_0, stg4_0, stp1_22, stp1_25,
                             stp1_23, stp1_24)

      stp1_28 = stp2_28;
      stp1_29 = stp2_29;
      stp1_30 = stp2_30;
      stp1_31 = stp2_31;
    }

    // final stage
    if (i < 4) {
      // 1_D: Store 32 intermediate results for each 8x32 block.
      col[i32 + 0] = _mm_add_epi16(stp1_0, stp1_31);
      col[i32 + 1] = _mm_add_epi16(stp1_1, stp1_30);
      col[i32 + 2] = _mm_add_epi16(stp1_2, stp1_29);
      col[i32 + 3] = _mm_add_epi16(stp1_3, stp1_28);
      col[i32 + 4] = _mm_add_epi16(stp1_4, stp1_27);
      col[i32 + 5] = _mm_add_epi16(stp1_5, stp1_26);
      col[i32 + 6] = _mm_add_epi16(stp1_6, stp1_25);
      col[i32 + 7] = _mm_add_epi16(stp1_7, stp1_24);
      col[i32 + 8] = _mm_add_epi16(stp1_8, stp1_23);
      col[i32 + 9] = _mm_add_epi16(stp1_9, stp1_22);
      col[i32 + 10] = _mm_add_epi16(stp1_10, stp1_21);
      col[i32 + 11] = _mm_add_epi16(stp1_11, stp1_20);
      col[i32 + 12] = _mm_add_epi16(stp1_12, stp1_19);
      col[i32 + 13] = _mm_add_epi16(stp1_13, stp1_18);
      col[i32 + 14] = _mm_add_epi16(stp1_14, stp1_17);
      col[i32 + 15] = _mm_add_epi16(stp1_15, stp1_16);
      col[i32 + 16] = _mm_sub_epi16(stp1_15, stp1_16);
      col[i32 + 17] = _mm_sub_epi16(stp1_14, stp1_17);
      col[i32 + 18] = _mm_sub_epi16(stp1_13, stp1_18);
      col[i32 + 19] = _mm_sub_epi16(stp1_12, stp1_19);
      col[i32 + 20] = _mm_sub_epi16(stp1_11, stp1_20);
      col[i32 + 21] = _mm_sub_epi16(stp1_10, stp1_21);
      col[i32 + 22] = _mm_sub_epi16(stp1_9, stp1_22);
      col[i32 + 23] = _mm_sub_epi16(stp1_8, stp1_23);
      col[i32 + 24] = _mm_sub_epi16(stp1_7, stp1_24);
      col[i32 + 25] = _mm_sub_epi16(stp1_6, stp1_25);
      col[i32 + 26] = _mm_sub_epi16(stp1_5, stp1_26);
      col[i32 + 27] = _mm_sub_epi16(stp1_4, stp1_27);
      col[i32 + 28] = _mm_sub_epi16(stp1_3, stp1_28);
      col[i32 + 29] = _mm_sub_epi16(stp1_2, stp1_29);
      col[i32 + 30] = _mm_sub_epi16(stp1_1, stp1_30);
      col[i32 + 31] = _mm_sub_epi16(stp1_0, stp1_31);
    } else {
      const __m128i zero = _mm_setzero_si128();

      // 2_D: Calculate the results and store them to destination.
      in0 = _mm_add_epi16(stp1_0, stp1_31);
      in1 = _mm_add_epi16(stp1_1, stp1_30);
      in2 = _mm_add_epi16(stp1_2, stp1_29);
      in3 = _mm_add_epi16(stp1_3, stp1_28);
      in4 = _mm_add_epi16(stp1_4, stp1_27);
      in5 = _mm_add_epi16(stp1_5, stp1_26);
      in6 = _mm_add_epi16(stp1_6, stp1_25);
      in7 = _mm_add_epi16(stp1_7, stp1_24);
      in8 = _mm_add_epi16(stp1_8, stp1_23);
      in9 = _mm_add_epi16(stp1_9, stp1_22);
      in10 = _mm_add_epi16(stp1_10, stp1_21);
      in11 = _mm_add_epi16(stp1_11, stp1_20);
      in12 = _mm_add_epi16(stp1_12, stp1_19);
      in13 = _mm_add_epi16(stp1_13, stp1_18);
      in14 = _mm_add_epi16(stp1_14, stp1_17);
      in15 = _mm_add_epi16(stp1_15, stp1_16);
      in16 = _mm_sub_epi16(stp1_15, stp1_16);
      in17 = _mm_sub_epi16(stp1_14, stp1_17);
      in18 = _mm_sub_epi16(stp1_13, stp1_18);
      in19 = _mm_sub_epi16(stp1_12, stp1_19);
      in20 = _mm_sub_epi16(stp1_11, stp1_20);
      in21 = _mm_sub_epi16(stp1_10, stp1_21);
      in22 = _mm_sub_epi16(stp1_9, stp1_22);
      in23 = _mm_sub_epi16(stp1_8, stp1_23);
      in24 = _mm_sub_epi16(stp1_7, stp1_24);
      in25 = _mm_sub_epi16(stp1_6, stp1_25);
      in26 = _mm_sub_epi16(stp1_5, stp1_26);
      in27 = _mm_sub_epi16(stp1_4, stp1_27);
      in28 = _mm_sub_epi16(stp1_3, stp1_28);
      in29 = _mm_sub_epi16(stp1_2, stp1_29);
      in30 = _mm_sub_epi16(stp1_1, stp1_30);
      in31 = _mm_sub_epi16(stp1_0, stp1_31);

      // Final rounding and shift
      in0 = _mm_adds_epi16(in0, final_rounding);
      in1 = _mm_adds_epi16(in1, final_rounding);
      in2 = _mm_adds_epi16(in2, final_rounding);
      in3 = _mm_adds_epi16(in3, final_rounding);
      in4 = _mm_adds_epi16(in4, final_rounding);
      in5 = _mm_adds_epi16(in5, final_rounding);
      in6 = _mm_adds_epi16(in6, final_rounding);
      in7 = _mm_adds_epi16(in7, final_rounding);
      in8 = _mm_adds_epi16(in8, final_rounding);
      in9 = _mm_adds_epi16(in9, final_rounding);
      in10 = _mm_adds_epi16(in10, final_rounding);
      in11 = _mm_adds_epi16(in11, final_rounding);
      in12 = _mm_adds_epi16(in12, final_rounding);
      in13 = _mm_adds_epi16(in13, final_rounding);
      in14 = _mm_adds_epi16(in14, final_rounding);
      in15 = _mm_adds_epi16(in15, final_rounding);
      in16 = _mm_adds_epi16(in16, final_rounding);
      in17 = _mm_adds_epi16(in17, final_rounding);
      in18 = _mm_adds_epi16(in18, final_rounding);
      in19 = _mm_adds_epi16(in19, final_rounding);
      in20 = _mm_adds_epi16(in20, final_rounding);
      in21 = _mm_adds_epi16(in21, final_rounding);
      in22 = _mm_adds_epi16(in22, final_rounding);
      in23 = _mm_adds_epi16(in23, final_rounding);
      in24 = _mm_adds_epi16(in24, final_rounding);
      in25 = _mm_adds_epi16(in25, final_rounding);
      in26 = _mm_adds_epi16(in26, final_rounding);
      in27 = _mm_adds_epi16(in27, final_rounding);
      in28 = _mm_adds_epi16(in28, final_rounding);
      in29 = _mm_adds_epi16(in29, final_rounding);
      in30 = _mm_adds_epi16(in30, final_rounding);
      in31 = _mm_adds_epi16(in31, final_rounding);

      in0 = _mm_srai_epi16(in0, 6);
      in1 = _mm_srai_epi16(in1, 6);
      in2 = _mm_srai_epi16(in2, 6);
      in3 = _mm_srai_epi16(in3, 6);
      in4 = _mm_srai_epi16(in4, 6);
      in5 = _mm_srai_epi16(in5, 6);
      in6 = _mm_srai_epi16(in6, 6);
      in7 = _mm_srai_epi16(in7, 6);
      in8 = _mm_srai_epi16(in8, 6);
      in9 = _mm_srai_epi16(in9, 6);
      in10 = _mm_srai_epi16(in10, 6);
      in11 = _mm_srai_epi16(in11, 6);
      in12 = _mm_srai_epi16(in12, 6);
      in13 = _mm_srai_epi16(in13, 6);
      in14 = _mm_srai_epi16(in14, 6);
      in15 = _mm_srai_epi16(in15, 6);
      in16 = _mm_srai_epi16(in16, 6);
      in17 = _mm_srai_epi16(in17, 6);
      in18 = _mm_srai_epi16(in18, 6);
      in19 = _mm_srai_epi16(in19, 6);
      in20 = _mm_srai_epi16(in20, 6);
      in21 = _mm_srai_epi16(in21, 6);
      in22 = _mm_srai_epi16(in22, 6);
      in23 = _mm_srai_epi16(in23, 6);
      in24 = _mm_srai_epi16(in24, 6);
      in25 = _mm_srai_epi16(in25, 6);
      in26 = _mm_srai_epi16(in26, 6);
      in27 = _mm_srai_epi16(in27, 6);
      in28 = _mm_srai_epi16(in28, 6);
      in29 = _mm_srai_epi16(in29, 6);
      in30 = _mm_srai_epi16(in30, 6);
      in31 = _mm_srai_epi16(in31, 6);

      RECON_AND_STORE(dest, in0);
      RECON_AND_STORE(dest, in1);
      RECON_AND_STORE(dest, in2);
      RECON_AND_STORE(dest, in3);
      RECON_AND_STORE(dest, in4);
      RECON_AND_STORE(dest, in5);
      RECON_AND_STORE(dest, in6);
      RECON_AND_STORE(dest, in7);
      RECON_AND_STORE(dest, in8);
      RECON_AND_STORE(dest, in9);
      RECON_AND_STORE(dest, in10);
      RECON_AND_STORE(dest, in11);
      RECON_AND_STORE(dest, in12);
      RECON_AND_STORE(dest, in13);
      RECON_AND_STORE(dest, in14);
      RECON_AND_STORE(dest, in15);
      RECON_AND_STORE(dest, in16);
      RECON_AND_STORE(dest, in17);
      RECON_AND_STORE(dest, in18);
      RECON_AND_STORE(dest, in19);
      RECON_AND_STORE(dest, in20);
      RECON_AND_STORE(dest, in21);
      RECON_AND_STORE(dest, in22);
      RECON_AND_STORE(dest, in23);
      RECON_AND_STORE(dest, in24);
      RECON_AND_STORE(dest, in25);
      RECON_AND_STORE(dest, in26);
      RECON_AND_STORE(dest, in27);
      RECON_AND_STORE(dest, in28);
      RECON_AND_STORE(dest, in29);
      RECON_AND_STORE(dest, in30);
      RECON_AND_STORE(dest, in31);

      dest += 8 - (stride * 32);
    }
  }
}
