xref: /external/chromium_org/third_party/libvpx/source/libvpx/vp9/common/x86/vp9_idct_intrin_sse2.c

/*
 *  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 "vp9/common/x86/vp9_idct_intrin_sse2.h"

#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; \
}

void vp9_idct4x4_16_add_sse2(const 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_load_si128((const __m128i *)input);
  input2 = _mm_load_si128((const __m128i *)(input + 8));

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

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

  // 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, input1);
  input1 = _mm_packs_epi32(input2, input3);

  // Transpose
  input2 = _mm_unpacklo_epi16(input0, input1);
  input3 = _mm_unpackhi_epi16(input0, input1);
  input0 = _mm_unpacklo_epi32(input2, input3);
  input1 = _mm_unpackhi_epi32(input2, 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_unpacklo_epi32(input2, input2);
  input1 = _mm_unpackhi_epi32(input2, input2);
  input2 = _mm_unpackhi_epi32(input3, input3);
  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, input2);
  input1 = _mm_packs_epi32(input1, input3);

  // Transpose
  input2 = _mm_unpacklo_epi16(input0, input1);
  input3 = _mm_unpackhi_epi16(input0, input1);
  input0 = _mm_unpacklo_epi32(input2, input3);
  input1 = _mm_unpackhi_epi32(input2, 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);

  // Reconstruction and Store
  {
     __m128i d0 = _mm_cvtsi32_si128(*(const int *)(dest));
     __m128i d2 = _mm_cvtsi32_si128(*(const int *)(dest + stride * 2));
     d0 = _mm_unpacklo_epi32(d0,
          _mm_cvtsi32_si128(*(const int *) (dest + stride)));
     d2 = _mm_unpacklo_epi32(_mm_cvtsi32_si128(
                    *(const int *) (dest + stride * 3)), d2);
     d0 = _mm_unpacklo_epi8(d0, zero);
     d2 = _mm_unpacklo_epi8(d2, zero);
     d0 = _mm_add_epi16(d0, input2);
     d2 = _mm_add_epi16(d2, input3);
     d0 = _mm_packus_epi16(d0, d2);
     // store input0
     *(int *)dest = _mm_cvtsi128_si32(d0);
     // store input1
     d0 = _mm_srli_si128(d0, 4);
     *(int *)(dest + stride) = _mm_cvtsi128_si32(d0);
     // store input2
     d0 = _mm_srli_si128(d0, 4);
     *(int *)(dest + stride * 3) = _mm_cvtsi128_si32(d0);
     // store input3
     d0 = _mm_srli_si128(d0, 4);
     *(int *)(dest + stride * 2) = _mm_cvtsi128_si32(d0);
  }
}

void vp9_idct4x4_1_add_sse2(const 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);
}

static INLINE void transpose_4x4(__m128i *res) {
  const __m128i tr0_0 = _mm_unpacklo_epi16(res[0], res[1]);
  const __m128i tr0_1 = _mm_unpackhi_epi16(res[0], res[1]);

  res[0] = _mm_unpacklo_epi16(tr0_0, tr0_1);
  res[1] = _mm_unpackhi_epi16(tr0_0, tr0_1);
}

static void idct4_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[1]);
  u[1] = _mm_unpackhi_epi16(in[0], in[1]);
  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[1]);
  u[1] = _mm_packs_epi32(v[3], v[2]);

  // stage 2
  in[0] = _mm_add_epi16(u[0], u[1]);
  in[1] = _mm_sub_epi16(u[0], u[1]);
  in[1] = _mm_shuffle_epi32(in[1], 0x4E);
}

static void iadst4_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_srli_si128(in[1], 8);
  in7 = _mm_add_epi16(in7, in[0]);
  in7 = _mm_sub_epi16(in7, in[1]);

  u[0] = _mm_unpacklo_epi16(in[0], in[1]);
  u[1] = _mm_unpackhi_epi16(in[0], in[1]);
  u[2] = _mm_unpacklo_epi16(in7, kZero);
  u[3] = _mm_unpackhi_epi16(in[0], 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[1]);
  in[1] = _mm_packs_epi32(u[2], u[3]);
}

void vp9_iht4x4_16_add_sse2(const int16_t *input, uint8_t *dest, int stride,
                            int tx_type) {
  __m128i in[2];
  const __m128i zero = _mm_setzero_si128();
  const __m128i eight = _mm_set1_epi16(8);

  in[0]= _mm_loadu_si128((const __m128i *)(input));
  in[1]= _mm_loadu_si128((const __m128i *)(input + 8));

  switch (tx_type) {
    case 0:  // DCT_DCT
      idct4_sse2(in);
      idct4_sse2(in);
      break;
    case 1:  // ADST_DCT
      idct4_sse2(in);
      iadst4_sse2(in);
      break;
    case 2:  // DCT_ADST
      iadst4_sse2(in);
      idct4_sse2(in);
      break;
    case 3:  // ADST_ADST
      iadst4_sse2(in);
      iadst4_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[0] = _mm_srai_epi16(in[0], 4);
  in[1] = _mm_srai_epi16(in[1], 4);

  // Reconstruction and Store
  {
     __m128i d0 = _mm_cvtsi32_si128(*(const int *)(dest));
     __m128i d2 = _mm_cvtsi32_si128(*(const int *)(dest + stride * 2));
     d0 = _mm_unpacklo_epi32(d0,
          _mm_cvtsi32_si128(*(const int *) (dest + stride)));
     d2 = _mm_unpacklo_epi32(d2, _mm_cvtsi32_si128(
                    *(const int *) (dest + stride * 3)));
     d0 = _mm_unpacklo_epi8(d0, zero);
     d2 = _mm_unpacklo_epi8(d2, zero);
     d0 = _mm_add_epi16(d0, in[0]);
     d2 = _mm_add_epi16(d2, in[1]);
     d0 = _mm_packus_epi16(d0, d2);
     // store result[0]
     *(int *)dest = _mm_cvtsi128_si32(d0);
     // store result[1]
     d0 = _mm_srli_si128(d0, 4);
     *(int *)(dest + stride) = _mm_cvtsi128_si32(d0);
     // store result[2]
     d0 = _mm_srli_si128(d0, 4);
     *(int *)(dest + stride * 2) = _mm_cvtsi128_si32(d0);
     // store result[3]
     d0 = _mm_srli_si128(d0, 4);
     *(int *)(dest + stride * 3) = _mm_cvtsi128_si32(d0);
  }
}

#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_10(tmp0, tmp1, tmp2, tmp3, \
                         out0, out1, out2, out3) \
  {                                              \
    const __m128i tr0_0 = _mm_unpackhi_epi16(tmp0, tmp1); \
    const __m128i tr0_1 = _mm_unpacklo_epi16(tmp1, tmp0); \
    const __m128i tr0_4 = _mm_unpacklo_epi16(tmp2, tmp3); \
    const __m128i tr0_5 = _mm_unpackhi_epi16(tmp3, tmp2); \
    \
    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); \
  }

#define TRANSPOSE_8X8_10(in0, in1, in2, in3, out0, out1) \
  {                                            \
    const __m128i tr0_0 = _mm_unpacklo_epi16(in0, in1); \
    const __m128i tr0_1 = _mm_unpacklo_epi16(in2, in3); \
    out0 = _mm_unpacklo_epi32(tr0_0, tr0_1); \
    out1 = _mm_unpackhi_epi32(tr0_0, tr0_1); \
  }

// 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 MULTIPLICATION_AND_ADD_2(lo_0, hi_0, cst0, cst1, res0, res1) \
  {   \
      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); \
      \
      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); \
      \
      res0 = _mm_packs_epi32(tmp0, tmp1); \
      res1 = _mm_packs_epi32(tmp2, tmp3); \
  }

#define IDCT8(in0, in1, in2, in3, in4, in5, in6, in7, \
                 out0, out1, out2, out3, out4, out5, out6, out7)  \
  { \
  /* 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  */ \
  out0 = _mm_adds_epi16(stp1_0, stp2_7); \
  out1 = _mm_adds_epi16(stp1_1, stp1_6); \
  out2 = _mm_adds_epi16(stp1_2, stp1_5); \
  out3 = _mm_adds_epi16(stp1_3, stp2_4); \
  out4 = _mm_subs_epi16(stp1_3, stp2_4); \
  out5 = _mm_subs_epi16(stp1_2, stp1_5); \
  out6 = _mm_subs_epi16(stp1_1, stp1_6); \
  out7 = _mm_subs_epi16(stp1_0, stp2_7); \
  }

void vp9_idct8x8_64_add_sse2(const 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((const __m128i *)input);
  in1 = _mm_load_si128((const __m128i *)(input + 8 * 1));
  in2 = _mm_load_si128((const __m128i *)(input + 8 * 2));
  in3 = _mm_load_si128((const __m128i *)(input + 8 * 3));
  in4 = _mm_load_si128((const __m128i *)(input + 8 * 4));
  in5 = _mm_load_si128((const __m128i *)(input + 8 * 5));
  in6 = _mm_load_si128((const __m128i *)(input + 8 * 6));
  in7 = _mm_load_si128((const __m128i *)(input + 8 * 7));

  // 2-D
  for (i = 0; i < 2; i++) {
    // 8x8 Transpose is copied from vp9_fdct8x8_sse2()
    TRANSPOSE_8X8(in0, in1, in2, in3, in4, in5, in6, in7,
                  in0, in1, in2, in3, in4, in5, in6, in7);

    // 4-stage 1D idct8x8
    IDCT8(in0, in1, in2, in3, in4, in5, in6, in7,
             in0, in1, in2, in3, in4, in5, in6, in7);
  }

  // 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_idct8x8_1_add_sse2(const 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);
}

static void idct8_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;

  // 8x8 Transpose is copied from vp9_fdct8x8_sse2()
  TRANSPOSE_8X8(in[0], in[1], in[2], in[3], in[4], in[5], in[6], in[7],
                in0, in1, in2, in3, in4, in5, in6, in7);

  // 4-stage 1D idct8x8
  IDCT8(in0, in1, in2, in3, in4, in5, in6, in7,
           in[0], in[1], in[2], in[3], in[4], in[5], in[6], in[7]);
}

static void iadst8_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_iht8x8_64_add_sse2(const 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((const __m128i *)input);
  in[1] = _mm_load_si128((const __m128i *)(input + 8 * 1));
  in[2] = _mm_load_si128((const __m128i *)(input + 8 * 2));
  in[3] = _mm_load_si128((const __m128i *)(input + 8 * 3));
  in[4] = _mm_load_si128((const __m128i *)(input + 8 * 4));
  in[5] = _mm_load_si128((const __m128i *)(input + 8 * 5));
  in[6] = _mm_load_si128((const __m128i *)(input + 8 * 6));
  in[7] = _mm_load_si128((const __m128i *)(input + 8 * 7));

  switch (tx_type) {
    case 0:  // DCT_DCT
      idct8_sse2(in);
      idct8_sse2(in);
      break;
    case 1:  // ADST_DCT
      idct8_sse2(in);
      iadst8_sse2(in);
      break;
    case 2:  // DCT_ADST
      iadst8_sse2(in);
      idct8_sse2(in);
      break;
    case 3:  // ADST_ADST
      iadst8_sse2(in);
      iadst8_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_idct8x8_12_add_sse2(const 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((const __m128i *)input);
  in1 = _mm_load_si128((const __m128i *)(input + 8 * 1));
  in2 = _mm_load_si128((const __m128i *)(input + 8 * 2));
  in3 = _mm_load_si128((const __m128i *)(input + 8 * 3));

  // 8x4 Transpose
  TRANSPOSE_8X8_10(in0, in1, in2, in3, in0, in1);
  // Stage1
  { //NOLINT
    const __m128i lo_17 = _mm_unpackhi_epi16(in0, zero);
    const __m128i lo_35 = _mm_unpackhi_epi16(in1, zero);

    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, tmp2);
    stp1_5 = _mm_packs_epi32(tmp4, tmp6);
  }

  // Stage2
  { //NOLINT
    const __m128i lo_04 = _mm_unpacklo_epi16(in0, zero);
    const __m128i lo_26 = _mm_unpacklo_epi16(in1, zero);

    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, tmp2);
    stp2_2 = _mm_packs_epi32(tmp6, tmp4);

    tmp0 = _mm_adds_epi16(stp1_4, stp1_5);
    tmp1 = _mm_subs_epi16(stp1_4, stp1_5);

    stp2_4 = tmp0;
    stp2_5 = _mm_unpacklo_epi64(tmp1, zero);
    stp2_6 = _mm_unpackhi_epi64(tmp1, zero);
  }

  // Stage3
  { //NOLINT
    const __m128i lo_56 = _mm_unpacklo_epi16(stp2_5, stp2_6);

    tmp4 = _mm_adds_epi16(stp2_0, stp2_2);
    tmp6 = _mm_subs_epi16(stp2_0, stp2_2);

    stp1_2 = _mm_unpackhi_epi64(tmp6, tmp4);
    stp1_3 = _mm_unpacklo_epi64(tmp6, tmp4);

    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, tmp2);
  }

  // Stage4
  tmp0 = _mm_adds_epi16(stp1_3, stp2_4);
  tmp1 = _mm_adds_epi16(stp1_2, stp1_5);
  tmp2 = _mm_subs_epi16(stp1_3, stp2_4);
  tmp3 = _mm_subs_epi16(stp1_2, stp1_5);

  TRANSPOSE_4X8_10(tmp0, tmp1, tmp2, tmp3, in0, in1, in2, in3)

  IDCT8(in0, in1, in2, in3, zero, zero, zero, zero,
           in0, in1, in2, in3, in4, in5, in6, in7);
  // 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 IDCT16 \
  /* Stage2 */ \
  { \
    const __m128i lo_1_15 = _mm_unpacklo_epi16(in[1], in[15]); \
    const __m128i hi_1_15 = _mm_unpackhi_epi16(in[1], in[15]); \
    const __m128i lo_9_7 = _mm_unpacklo_epi16(in[9], in[7]);   \
    const __m128i hi_9_7 = _mm_unpackhi_epi16(in[9], in[7]);   \
    const __m128i lo_5_11 = _mm_unpacklo_epi16(in[5], in[11]); \
    const __m128i hi_5_11 = _mm_unpackhi_epi16(in[5], in[11]); \
    const __m128i lo_13_3 = _mm_unpacklo_epi16(in[13], in[3]); \
    const __m128i hi_13_3 = _mm_unpackhi_epi16(in[13], in[3]); \
    \
    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(in[2], in[14]); \
    const __m128i hi_2_14 = _mm_unpackhi_epi16(in[2], in[14]); \
    const __m128i lo_10_6 = _mm_unpacklo_epi16(in[10], in[6]); \
    const __m128i hi_10_6 = _mm_unpackhi_epi16(in[10], in[6]); \
    \
    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(in[0], in[8]); \
    const __m128i hi_0_8 = _mm_unpackhi_epi16(in[0], in[8]); \
    const __m128i lo_4_12 = _mm_unpacklo_epi16(in[4], in[12]); \
    const __m128i hi_4_12 = _mm_unpackhi_epi16(in[4], in[12]); \
    \
    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) \
  }

#define IDCT16_10 \
    /* Stage2 */ \
    { \
      const __m128i lo_1_15 = _mm_unpacklo_epi16(in[1], zero); \
      const __m128i hi_1_15 = _mm_unpackhi_epi16(in[1], zero); \
      const __m128i lo_13_3 = _mm_unpacklo_epi16(zero, in[3]); \
      const __m128i hi_13_3 = _mm_unpackhi_epi16(zero, in[3]); \
      \
      MULTIPLICATION_AND_ADD(lo_1_15, hi_1_15, lo_13_3, hi_13_3, \
                             stg2_0, stg2_1, stg2_6, stg2_7, \
                             stp1_8_0, stp1_15, stp1_11, stp1_12_0) \
    } \
      \
    /* Stage3 */ \
    { \
      const __m128i lo_2_14 = _mm_unpacklo_epi16(in[2], zero); \
      const __m128i hi_2_14 = _mm_unpackhi_epi16(in[2], zero); \
      \
      MULTIPLICATION_AND_ADD_2(lo_2_14, hi_2_14, \
                               stg3_0, stg3_1,  \
                               stp2_4, stp2_7) \
      \
      stp1_9  =  stp1_8_0; \
      stp1_10 =  stp1_11;  \
      \
      stp1_13 = stp1_12_0; \
      stp1_14 = stp1_15;   \
    } \
    \
    /* Stage4 */ \
    { \
      const __m128i lo_0_8 = _mm_unpacklo_epi16(in[0], zero); \
      const __m128i hi_0_8 = _mm_unpackhi_epi16(in[0], zero); \
      \
      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_2(lo_0_8, hi_0_8, \
                               stg4_0, stg4_1, \
                               stp1_0, stp1_1) \
      stp2_5 = stp2_4; \
      stp2_6 = stp2_7; \
      \
      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_2 = stp1_1; \
      stp1_3 = stp1_0; \
      \
      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_idct16x16_256_add_sse2(const 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 in[16], l[16], r[16], *curr1;
  __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;

  curr1 = l;
  for (i = 0; i < 2; i++) {
      // 1-D idct

      // Load input data.
      in[0] = _mm_load_si128((const __m128i *)input);
      in[8] = _mm_load_si128((const __m128i *)(input + 8 * 1));
      in[1] = _mm_load_si128((const __m128i *)(input + 8 * 2));
      in[9] = _mm_load_si128((const __m128i *)(input + 8 * 3));
      in[2] = _mm_load_si128((const __m128i *)(input + 8 * 4));
      in[10] = _mm_load_si128((const __m128i *)(input + 8 * 5));
      in[3] = _mm_load_si128((const __m128i *)(input + 8 * 6));
      in[11] = _mm_load_si128((const __m128i *)(input + 8 * 7));
      in[4] = _mm_load_si128((const __m128i *)(input + 8 * 8));
      in[12] = _mm_load_si128((const __m128i *)(input + 8 * 9));
      in[5] = _mm_load_si128((const __m128i *)(input + 8 * 10));
      in[13] = _mm_load_si128((const __m128i *)(input + 8 * 11));
      in[6] = _mm_load_si128((const __m128i *)(input + 8 * 12));
      in[14] = _mm_load_si128((const __m128i *)(input + 8 * 13));
      in[7] = _mm_load_si128((const __m128i *)(input + 8 * 14));
      in[15] = _mm_load_si128((const __m128i *)(input + 8 * 15));

      array_transpose_8x8(in, in);
      array_transpose_8x8(in+8, in+8);

      IDCT16

      // Stage7
      curr1[0] = _mm_add_epi16(stp2_0, stp1_15);
      curr1[1] = _mm_add_epi16(stp2_1, stp1_14);
      curr1[2] = _mm_add_epi16(stp2_2, stp2_13);
      curr1[3] = _mm_add_epi16(stp2_3, stp2_12);
      curr1[4] = _mm_add_epi16(stp2_4, stp2_11);
      curr1[5] = _mm_add_epi16(stp2_5, stp2_10);
      curr1[6] = _mm_add_epi16(stp2_6, stp1_9);
      curr1[7] = _mm_add_epi16(stp2_7, stp1_8);
      curr1[8] = _mm_sub_epi16(stp2_7, stp1_8);
      curr1[9] = _mm_sub_epi16(stp2_6, stp1_9);
      curr1[10] = _mm_sub_epi16(stp2_5, stp2_10);
      curr1[11] = _mm_sub_epi16(stp2_4, stp2_11);
      curr1[12] = _mm_sub_epi16(stp2_3, stp2_12);
      curr1[13] = _mm_sub_epi16(stp2_2, stp2_13);
      curr1[14] = _mm_sub_epi16(stp2_1, stp1_14);
      curr1[15] = _mm_sub_epi16(stp2_0, stp1_15);

      curr1 = r;
      input += 128;
  }
  for (i = 0; i < 2; i++) {
      // 1-D idct
      array_transpose_8x8(l+i*8, in);
      array_transpose_8x8(r+i*8, in+8);

      IDCT16

      // 2-D
      in[0] = _mm_add_epi16(stp2_0, stp1_15);
      in[1] = _mm_add_epi16(stp2_1, stp1_14);
      in[2] = _mm_add_epi16(stp2_2, stp2_13);
      in[3] = _mm_add_epi16(stp2_3, stp2_12);
      in[4] = _mm_add_epi16(stp2_4, stp2_11);
      in[5] = _mm_add_epi16(stp2_5, stp2_10);
      in[6] = _mm_add_epi16(stp2_6, stp1_9);
      in[7] = _mm_add_epi16(stp2_7, stp1_8);
      in[8] = _mm_sub_epi16(stp2_7, stp1_8);
      in[9] = _mm_sub_epi16(stp2_6, stp1_9);
      in[10] = _mm_sub_epi16(stp2_5, stp2_10);
      in[11] = _mm_sub_epi16(stp2_4, stp2_11);
      in[12] = _mm_sub_epi16(stp2_3, stp2_12);
      in[13] = _mm_sub_epi16(stp2_2, stp2_13);
      in[14] = _mm_sub_epi16(stp2_1, stp1_14);
      in[15] = _mm_sub_epi16(stp2_0, stp1_15);

      // 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]);

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

void vp9_idct16x16_1_add_sse2(const 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 void iadst16_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[