shithub: libvpx

ref: dcdb013b55b557e215de8e72391f9876620bca25
dir: /vpx_dsp/x86/inv_txfm_sse2.c/

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/*
 *  Copyright (c) 2015 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 "./vpx_dsp_rtcd.h"
#include "vpx_dsp/x86/inv_txfm_sse2.h"
#include "vpx_dsp/x86/transpose_sse2.h"
#include "vpx_dsp/x86/txfm_common_sse2.h"

static INLINE void transpose_16bit_4(__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);
}

void vpx_idct4x4_16_add_sse2(const tran_low_t *input, uint8_t *dest,
                             int stride) {
  const __m128i eight = _mm_set1_epi16(8);
  __m128i in[2];

  // Rows
  in[0] = load_input_data8(input);
  in[1] = load_input_data8(input + 8);
  idct4_sse2(in);

  // Columns
  idct4_sse2(in);

  // 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);

  recon_and_store4x4_sse2(in, dest, stride);
}

void vpx_idct4x4_1_add_sse2(const tran_low_t *input, uint8_t *dest,
                            int stride) {
  const __m128i zero = _mm_setzero_si128();
  int a;
  __m128i dc_value, d[2];

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

  dc_value = _mm_set1_epi16(a);

  // Reconstruction and Store
  d[0] = _mm_cvtsi32_si128(*(const int *)(dest));
  d[1] = _mm_cvtsi32_si128(*(const int *)(dest + stride * 3));
  d[0] = _mm_unpacklo_epi32(d[0],
                            _mm_cvtsi32_si128(*(const int *)(dest + stride)));
  d[1] = _mm_unpacklo_epi32(
      _mm_cvtsi32_si128(*(const int *)(dest + stride * 2)), d[1]);
  d[0] = _mm_unpacklo_epi8(d[0], zero);
  d[1] = _mm_unpacklo_epi8(d[1], zero);
  d[0] = _mm_add_epi16(d[0], dc_value);
  d[1] = _mm_add_epi16(d[1], dc_value);
  d[0] = _mm_packus_epi16(d[0], d[1]);

  *(int *)dest = _mm_cvtsi128_si32(d[0]);
  d[0] = _mm_srli_si128(d[0], 4);
  *(int *)(dest + stride) = _mm_cvtsi128_si32(d[0]);
  d[0] = _mm_srli_si128(d[0], 4);
  *(int *)(dest + stride * 2) = _mm_cvtsi128_si32(d[0]);
  d[0] = _mm_srli_si128(d[0], 4);
  *(int *)(dest + stride * 3) = _mm_cvtsi128_si32(d[0]);
}

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);
  __m128i u[2];

  transpose_16bit_4(in);
  // stage 1
  u[0] = _mm_unpacklo_epi16(in[0], in[1]);
  u[1] = _mm_unpackhi_epi16(in[0], in[1]);
  u[0] = idct_calc_wraplow_sse2(k__cospi_p16_p16, k__cospi_p16_m16, u[0]);
  u[1] = idct_calc_wraplow_sse2(k__cospi_p08_p24, k__cospi_p24_m08, u[1]);

  // 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);
}

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((int16_t)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_16bit_4(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]);
}

// Multiply elements by constants and add them together.
static INLINE void multiplication_and_add(
    const __m128i *const in0, const __m128i *const in1,
    const __m128i *const in2, const __m128i *const in3,
    const __m128i *const cst0, const __m128i *const cst1,
    const __m128i *const cst2, const __m128i *const cst3, __m128i *const res0,
    __m128i *const res1, __m128i *const res2, __m128i *const res3) {
  const __m128i lo_0 = _mm_unpacklo_epi16(*in0, *in1);
  const __m128i hi_0 = _mm_unpackhi_epi16(*in0, *in1);
  const __m128i lo_1 = _mm_unpacklo_epi16(*in2, *in3);
  const __m128i hi_1 = _mm_unpackhi_epi16(*in2, *in3);
  *res0 = idct_calc_wraplow_sse2(lo_0, hi_0, *cst0);
  *res1 = idct_calc_wraplow_sse2(lo_0, hi_0, *cst1);
  *res2 = idct_calc_wraplow_sse2(lo_1, hi_1, *cst2);
  *res3 = idct_calc_wraplow_sse2(lo_1, hi_1, *cst3);
}

static INLINE void idct8(const __m128i *const in, __m128i *const out) {
  const __m128i cp_16_16 = pair_set_epi16(cospi_16_64, cospi_16_64);
  const __m128i cp_16_n16 = pair_set_epi16(cospi_16_64, -cospi_16_64);
  __m128i step1[8], step2[8];

  // stage 1
  {
    const __m128i cp_28_n4 = pair_set_epi16(cospi_28_64, -cospi_4_64);
    const __m128i cp_4_28 = pair_set_epi16(cospi_4_64, cospi_28_64);
    const __m128i cp_n20_12 = pair_set_epi16(-cospi_20_64, cospi_12_64);
    const __m128i cp_12_20 = pair_set_epi16(cospi_12_64, cospi_20_64);
    multiplication_and_add(&in[1], &in[7], &in[3], &in[5], &cp_28_n4, &cp_4_28,
                           &cp_n20_12, &cp_12_20, &step1[4], &step1[7],
                           &step1[5], &step1[6]);
  }

  // stage 2
  {
    const __m128i cp_24_n8 = pair_set_epi16(cospi_24_64, -cospi_8_64);
    const __m128i cp_8_24 = pair_set_epi16(cospi_8_64, cospi_24_64);
    multiplication_and_add(&in[0], &in[4], &in[2], &in[6], &cp_16_16,
                           &cp_16_n16, &cp_24_n8, &cp_8_24, &step2[0],
                           &step2[1], &step2[2], &step2[3]);
  }

  step2[4] = _mm_add_epi16(step1[4], step1[5]);
  step2[5] = _mm_sub_epi16(step1[4], step1[5]);
  step2[6] = _mm_sub_epi16(step1[7], step1[6]);
  step2[7] = _mm_add_epi16(step1[7], step1[6]);

  // stage 3
  step1[0] = _mm_add_epi16(step2[0], step2[3]);
  step1[1] = _mm_add_epi16(step2[1], step2[2]);
  step1[2] = _mm_sub_epi16(step2[1], step2[2]);
  step1[3] = _mm_sub_epi16(step2[0], step2[3]);
  multiplication_and_add_2(&step2[6], &step2[5], &cp_16_n16, &cp_16_16,
                           &step1[5], &step1[6]);

  // stage 4
  out[0] = _mm_add_epi16(step1[0], step2[7]);
  out[1] = _mm_add_epi16(step1[1], step1[6]);
  out[2] = _mm_add_epi16(step1[2], step1[5]);
  out[3] = _mm_add_epi16(step1[3], step2[4]);
  out[4] = _mm_sub_epi16(step1[3], step2[4]);
  out[5] = _mm_sub_epi16(step1[2], step1[5]);
  out[6] = _mm_sub_epi16(step1[1], step1[6]);
  out[7] = _mm_sub_epi16(step1[0], step2[7]);
}

void vpx_idct8x8_64_add_sse2(const tran_low_t *input, uint8_t *dest,
                             int stride) {
  __m128i in[8];
  int i;

  // Load input data.
  load_buffer_8x8(input, in);

  // 2-D
  for (i = 0; i < 2; i++) {
    idct8_sse2(in);
  }

  write_buffer_8x8(in, dest, stride);
}

static INLINE void recon_and_store_8_dual(uint8_t *const dest,
                                          const __m128i in_x,
                                          const int stride) {
  const __m128i zero = _mm_setzero_si128();
  __m128i d0, d1;

  d0 = _mm_loadl_epi64((__m128i *)(dest + 0 * stride));
  d1 = _mm_loadl_epi64((__m128i *)(dest + 1 * stride));
  d0 = _mm_unpacklo_epi8(d0, zero);
  d1 = _mm_unpacklo_epi8(d1, zero);
  d0 = _mm_add_epi16(in_x, d0);
  d1 = _mm_add_epi16(in_x, d1);
  d0 = _mm_packus_epi16(d0, d1);
  _mm_storel_epi64((__m128i *)(dest + 0 * stride), d0);
  _mm_storeh_pi((__m64 *)(dest + 1 * stride), _mm_castsi128_ps(d0));
}

void vpx_idct8x8_1_add_sse2(const tran_low_t *input, uint8_t *dest,
                            int stride) {
  __m128i dc_value;
  tran_high_t a1;
  tran_low_t out = WRAPLOW(dct_const_round_shift(input[0] * cospi_16_64));

  out = WRAPLOW(dct_const_round_shift(out * cospi_16_64));
  a1 = ROUND_POWER_OF_TWO(out, 5);
  dc_value = _mm_set1_epi16(a1);

  recon_and_store_8_dual(dest, dc_value, stride);
  dest += 2 * stride;
  recon_and_store_8_dual(dest, dc_value, stride);
  dest += 2 * stride;
  recon_and_store_8_dual(dest, dc_value, stride);
  dest += 2 * stride;
  recon_and_store_8_dual(dest, dc_value, stride);
}

void idct8_sse2(__m128i *in) {
  // 8x8 Transpose is copied from vpx_fdct8x8_sse2()
  transpose_16bit_8x8(in, in);

  // 4-stage 1D idct8x8
  idct8(in, in);
}

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((int16_t)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
  transpose_16bit_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);

  s2 = idct_calc_wraplow_sse2(u0, u1, k__cospi_p16_p16);
  s3 = idct_calc_wraplow_sse2(u0, u1, k__cospi_p16_m16);
  s6 = idct_calc_wraplow_sse2(u2, u3, k__cospi_p16_p16);
  s7 = idct_calc_wraplow_sse2(u2, u3, k__cospi_p16_m16);

  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 vpx_idct8x8_12_add_sse2(const tran_low_t *input, uint8_t *dest,
                             int stride) {
  const __m128i zero = _mm_setzero_si128();
  const __m128i cp_16_16 = pair_set_epi16(cospi_16_64, cospi_16_64);
  const __m128i cp_16_n16 = pair_set_epi16(cospi_16_64, -cospi_16_64);
  __m128i in[8], step1[8], step2[8], tmp[4];

  in[0] = load_input_data4(input + 0 * 8);
  in[1] = load_input_data4(input + 1 * 8);
  in[2] = load_input_data4(input + 2 * 8);
  in[3] = load_input_data4(input + 3 * 8);

  transpose_16bit_4x4(in, in);
  // in[0]: 00 10 20 30  01 11 21 31
  // in[1]: 02 12 22 32  03 13 23 33

  // stage 1
  {
    const __m128i cp_28_n4 = pair_set_epi16(cospi_28_64, -cospi_4_64);
    const __m128i cp_4_28 = pair_set_epi16(cospi_4_64, cospi_28_64);
    const __m128i cp_n20_12 = pair_set_epi16(-cospi_20_64, cospi_12_64);
    const __m128i cp_12_20 = pair_set_epi16(cospi_12_64, cospi_20_64);
    const __m128i lo_1 = _mm_unpackhi_epi16(in[0], zero);
    const __m128i lo_3 = _mm_unpackhi_epi16(in[1], zero);
    step1[4] = idct_calc_wraplow_sse2(cp_28_n4, cp_4_28, lo_1);    // step1 4&7
    step1[5] = idct_calc_wraplow_sse2(cp_n20_12, cp_12_20, lo_3);  // step1 5&6
  }

  // stage 2
  {
    const __m128i cp_24_n8 = pair_set_epi16(cospi_24_64, -cospi_8_64);
    const __m128i cp_8_24 = pair_set_epi16(cospi_8_64, cospi_24_64);
    const __m128i lo_0 = _mm_unpacklo_epi16(in[0], zero);
    const __m128i lo_2 = _mm_unpacklo_epi16(in[1], zero);
    step2[0] = idct_calc_wraplow_sse2(cp_16_16, cp_16_n16, lo_0);  // step2 0&1
    step2[2] = idct_calc_wraplow_sse2(cp_8_24, cp_24_n8, lo_2);    // step2 3&2
    step2[4] = _mm_add_epi16(step1[4], step1[5]);                  // step2 4&7
    step2[5] = _mm_sub_epi16(step1[4], step1[5]);                  // step2 5&6
    step2[6] = _mm_unpackhi_epi64(step2[5], zero);                 // step2 6
  }

  // stage 3
  {
    const __m128i lo_65 = _mm_unpacklo_epi16(step2[6], step2[5]);
    tmp[0] = _mm_add_epi16(step2[0], step2[2]);                     // step1 0&1
    tmp[1] = _mm_sub_epi16(step2[0], step2[2]);                     // step1 3&2
    step1[2] = _mm_unpackhi_epi64(tmp[1], tmp[0]);                  // step1 2&1
    step1[3] = _mm_unpacklo_epi64(tmp[1], tmp[0]);                  // step1 3&0
    step1[5] = idct_calc_wraplow_sse2(cp_16_n16, cp_16_16, lo_65);  // step1 5&6
  }

  // stage 4
  tmp[0] = _mm_add_epi16(step1[3], step2[4]);  // output 3&0
  tmp[1] = _mm_add_epi16(step1[2], step1[5]);  // output 2&1
  tmp[2] = _mm_sub_epi16(step1[3], step2[4]);  // output 4&7
  tmp[3] = _mm_sub_epi16(step1[2], step1[5]);  // output 5&6

  idct8x8_12_transpose_16bit_4x8(tmp, in);
  in[4] = in[5] = in[6] = in[7] = zero;

  idct8(in, in);
  write_buffer_8x8(in, dest, stride);
}

#define IDCT16_10                                                              \
  /* Stage2 */                                                                 \
  multiplication_and_add(&in[1], &zero, &zero, &in[3], &stg2_0, &stg2_1,       \
                         &stg2_6, &stg2_7, &stp1_8_0, &stp1_15, &stp1_11,      \
                         &stp1_12_0);                                          \
                                                                               \
  /* Stage3 */                                                                 \
  multiplication_and_add_2(&in[2], &zero, &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 */                                                                 \
  multiplication_and_add_2(&in[0], &zero, &stg4_0, &stg4_1, &stp1_0, &stp1_1); \
  stp2_5 = stp2_4;                                                             \
  stp2_6 = stp2_7;                                                             \
                                                                               \
  multiplication_and_add(&stp1_9, &stp1_14, &stp1_10, &stp1_13, &stg4_4,       \
                         &stg4_5, &stg4_6, &stg4_7, &stp2_9, &stp2_14,         \
                         &stp2_10, &stp2_13);                                  \
                                                                               \
  /* Stage5 */                                                                 \
  stp1_2 = stp1_1;                                                             \
  stp1_3 = stp1_0;                                                             \
  multiplication_and_add_2(&stp2_6, &stp2_5, &stg4_1, &stg4_0, &stp1_5,        \
                           &stp1_6);                                           \
                                                                               \
  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 */                                                                 \
  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(&stp1_10, &stp1_13, &stp1_11, &stp1_12, &stg6_0,      \
                         &stg4_0, &stg6_0, &stg4_0, &stp2_10, &stp2_13,        \
                         &stp2_11, &stp2_12);

static INLINE void idct16_8col(__m128i *const in) {
  const __m128i k__cospi_p16_p16 = _mm_set1_epi16((int16_t)cospi_16_64);
  const __m128i k__cospi_m16_p16 = pair_set_epi16(-cospi_16_64, cospi_16_64);
  __m128i s[16], t[16];

  // stage 2
  {
    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);
    multiplication_and_add(&in[1], &in[15], &in[9], &in[7], &k__cospi_p30_m02,
                           &k__cospi_p02_p30, &k__cospi_p14_m18,
                           &k__cospi_p18_p14, &s[8], &s[15], &s[9], &s[14]);
  }
  {
    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);
    multiplication_and_add(&in[5], &in[11], &in[13], &in[3], &k__cospi_p22_m10,
                           &k__cospi_p10_p22, &k__cospi_p06_m26,
                           &k__cospi_p26_p06, &s[10], &s[13], &s[11], &s[12]);
  }

  // stage 3
  {
    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);
    multiplication_and_add(&in[2], &in[14], &in[10], &in[6], &k__cospi_p28_m04,
                           &k__cospi_p04_p28, &k__cospi_p12_m20,
                           &k__cospi_p20_p12, &t[4], &t[7], &t[5], &t[6]);
  }
  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
  {
    const __m128i k__cospi_p24_m08 = 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_p08_p24 = pair_set_epi16(cospi_8_64, cospi_24_64);
    multiplication_and_add(&in[0], &in[8], &in[4], &in[12], &k__cospi_p16_p16,
                           &k__cospi_p16_m16, &k__cospi_p24_m08,
                           &k__cospi_p08_p24, &s[0], &s[1], &s[2], &s[3]);
  }
  s[5] = _mm_sub_epi16(t[4], t[5]);
  t[4] = _mm_add_epi16(t[4], t[5]);
  s[6] = _mm_sub_epi16(t[7], t[6]);
  t[7] = _mm_add_epi16(t[6], t[7]);
  s[8] = t[8];
  {
    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);
    multiplication_and_add(&t[9], &t[14], &t[10], &t[13], &k__cospi_m08_p24,
                           &k__cospi_p24_p08, &k__cospi_m24_m08,
                           &k__cospi_m08_p24, &s[9], &s[14], &s[10], &s[13]);
  }
  s[11] = t[11];
  s[12] = t[12];
  s[15] = t[15];

  // 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]);
  multiplication_and_add_2(&s[5], &s[6], &k__cospi_m16_p16, &k__cospi_p16_p16,
                           &t[5], &t[6]);
  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]);
  multiplication_and_add(&t[10], &t[13], &t[11], &t[12], &k__cospi_m16_p16,
                         &k__cospi_p16_p16, &k__cospi_m16_p16,
                         &k__cospi_p16_p16, &s[10], &s[13], &s[11], &s[12]);

  // stage 7
  in[0] = _mm_add_epi16(s[0], t[15]);
  in[1] = _mm_add_epi16(s[1], t[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], t[9]);
  in[7] = _mm_add_epi16(s[7], t[8]);
  in[8] = _mm_sub_epi16(s[7], t[8]);
  in[9] = _mm_sub_epi16(s[6], t[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], t[14]);
  in[15] = _mm_sub_epi16(s[0], t[15]);
}

static INLINE void idct16_load8x8(const tran_low_t *const input,
                                  __m128i *const in) {
  in[0] = load_input_data8(input);
  in[1] = load_input_data8(input + 8 * 2);
  in[2] = load_input_data8(input + 8 * 4);
  in[3] = load_input_data8(input + 8 * 6);
  in[4] = load_input_data8(input + 8 * 8);
  in[5] = load_input_data8(input + 8 * 10);
  in[6] = load_input_data8(input + 8 * 12);
  in[7] = load_input_data8(input + 8 * 14);
}

void vpx_idct16x16_256_add_sse2(const tran_low_t *input, uint8_t *dest,
                                int stride) {
  __m128i l[16], r[16], out[16], *in;
  int i;

  in = l;
  for (i = 0; i < 2; i++) {
    idct16_load8x8(input, in);
    transpose_16bit_8x8(in, in);
    idct16_load8x8(input + 8, in + 8);
    transpose_16bit_8x8(in + 8, in + 8);
    idct16_8col(in);
    in = r;
    input += 128;
  }

  for (i = 0; i < 2; i++) {
    int j;
    transpose_16bit_8x8(l + i * 8, out);
    transpose_16bit_8x8(r + i * 8, out + 8);
    idct16_8col(out);

    // Final rounding and shift
    for (j = 0; j < 16; ++j) {
      const __m128i final_rounding = _mm_set1_epi16(1 << 5);
      out[j] = _mm_adds_epi16(out[j], final_rounding);
      out[j] = _mm_srai_epi16(out[j], 6);
      recon_and_store(dest + j * stride, out[j]);
    }

    dest += 8;
  }
}

static INLINE void recon_and_store_16(uint8_t *const dest, const __m128i in_x) {
  const __m128i zero = _mm_setzero_si128();
  __m128i d0, d1;

  d0 = _mm_load_si128((__m128i *)(dest));
  d1 = _mm_unpackhi_epi8(d0, zero);
  d0 = _mm_unpacklo_epi8(d0, zero);
  d0 = _mm_add_epi16(in_x, d0);
  d1 = _mm_add_epi16(in_x, d1);
  d0 = _mm_packus_epi16(d0, d1);
  _mm_store_si128((__m128i *)(dest), d0);
}

void vpx_idct16x16_1_add_sse2(const tran_low_t *input, uint8_t *dest,
                              int stride) {
  __m128i dc_value;
  int i;
  tran_high_t a1;
  tran_low_t out = WRAPLOW(dct_const_round_shift(input[0] * cospi_16_64));

  out = WRAPLOW(dct_const_round_shift(out * cospi_16_64));
  a1 = ROUND_POWER_OF_TWO(out, 6);
  dc_value = _mm_set1_epi16(a1);

  for (i = 0; i < 16; ++i) {
    recon_and_store_16(dest, dc_value);
    dest += stride;
  }
}

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((int16_t)-cospi_16_64);
  const __m128i k__cospi_p16_p16 = _mm_set1_epi16((int16_t)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]);

  in[7] = idct_calc_wraplow_sse2(u[0], u[1], k__cospi_m16_m16);
  in[8] = idct_calc_wraplow_sse2(u[0], u[1], k__cospi_p16_m16);
  in[4] = idct_calc_wraplow_sse2(u[2], u[3], k__cospi_p16_p16);
  in[11] = idct_calc_wraplow_sse2(u[2], u[3], k__cospi_m16_p16);
  in[6] = idct_calc_wraplow_sse2(u[4], u[5], k__cospi_p16_p16);
  in[9] = idct_calc_wraplow_sse2(u[4], u[5], k__cospi_m16_p16);
  in[5] = idct_calc_wraplow_sse2(u[6], u[7], k__cospi_m16_m16);
  in[10] = idct_calc_wraplow_sse2(u[6], u[7], k__cospi_p16_m16);

  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[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_sse2(__m128i *in0, __m128i *in1) {
  transpose_16bit_16x16(in0, in1);
  idct16_8col(in0);
  idct16_8col(in1);
}

void iadst16_sse2(__m128i *in0, __m128i *in1) {
  transpose_16bit_16x16(in0, in1);
  iadst16_8col(in0);
  iadst16_8col(in1);
}

void vpx_idct16x16_10_add_sse2(const tran_low_t *input, uint8_t *dest,
                               int stride) {
  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_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 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_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];
  __m128i stp1_0, stp1_1, stp1_2, stp1_3, stp1_4, stp1_5, stp1_6, 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;
  __m128i tmp0, tmp1, tmp2, tmp3;
  int i;
  // First 1-D inverse DCT
  // Load input data.
  in[0] = load_input_data4(input + 0 * 16);
  in[1] = load_input_data4(input + 1 * 16);
  in[2] = load_input_data4(input + 2 * 16);
  in[3] = load_input_data4(input + 3 * 16);

  transpose_16bit_4x4(in, in);

  // Stage2
  {
    const __m128i lo_1_15 = _mm_unpackhi_epi16(in[0], zero);
    const __m128i lo_13_3 = _mm_unpackhi_epi16(zero, in[1]);

    stp2_8 = idct_calc_wraplow_sse2(stg2_0, stg2_1, lo_1_15);
    stp2_11 = idct_calc_wraplow_sse2(stg2_6, stg2_7, lo_13_3);
  }

  // Stage3
  {
    const __m128i lo_2_14 = _mm_unpacklo_epi16(in[1], zero);

    stp1_4 = idct_calc_wraplow_sse2(stg3_0, stg3_1, lo_2_14);
    stp1_13 = _mm_unpackhi_epi64(stp2_11, zero);
    stp1_14 = _mm_unpackhi_epi64(stp2_8, zero);
  }

  // Stage4
  {
    const __m128i lo_0_8 = _mm_unpacklo_epi16(in[0], zero);
    const __m128i lo_9_14 = _mm_unpacklo_epi16(stp2_8, stp1_14);
    const __m128i lo_10_13 = _mm_unpacklo_epi16(stp2_11, stp1_13);

    tmp0 = idct_madd_round_shift_sse2(lo_0_8, stg4_0);
    tmp1 = idct_madd_round_shift_sse2(lo_0_8, stg4_1);
    stp1_0 = _mm_packs_epi32(tmp0, tmp0);
    stp1_1 = _mm_packs_epi32(tmp1, tmp1);
    stp2_9 = idct_calc_wraplow_sse2(stg4_4, stg4_5, lo_9_14);
    stp2_10 = idct_calc_wraplow_sse2(stg4_6, stg4_7, lo_10_13);

    stp2_6 = _mm_unpackhi_epi64(stp1_4, zero);
  }

  // Stage5 and Stage6
  {
    tmp0 = _mm_add_epi16(stp2_8, stp2_11);
    tmp1 = _mm_sub_epi16(stp2_8, stp2_11);
    tmp2 = _mm_add_epi16(stp2_9, stp2_10);
    tmp3 = _mm_sub_epi16(stp2_9, stp2_10);

    stp1_9 = _mm_unpacklo_epi64(tmp2, zero);
    stp1_10 = _mm_unpacklo_epi64(tmp3, zero);
    stp1_8 = _mm_unpacklo_epi64(tmp0, zero);
    stp1_11 = _mm_unpacklo_epi64(tmp1, zero);

    stp1_13 = _mm_unpackhi_epi64(tmp3, zero);
    stp1_14 = _mm_unpackhi_epi64(tmp2, zero);
    stp1_12 = _mm_unpackhi_epi64(tmp1, zero);
    stp1_15 = _mm_unpackhi_epi64(tmp0, zero);
  }

  // Stage6
  {
    const __m128i lo_6_5 = _mm_unpacklo_epi16(stp2_6, stp1_4);
    const __m128i lo_10_13 = _mm_unpacklo_epi16(stp1_10, stp1_13);
    const __m128i lo_11_12 = _mm_unpacklo_epi16(stp1_11, stp1_12);

    stp1_6 = idct_calc_wraplow_sse2(stg4_0, stg4_1, lo_6_5);
    tmp0 = idct_madd_round_shift_sse2(lo_10_13, stg6_0);
    tmp1 = idct_madd_round_shift_sse2(lo_10_13, stg4_0);
    tmp2 = idct_madd_round_shift_sse2(lo_11_12, stg6_0);
    tmp3 = idct_madd_round_shift_sse2(lo_11_12, stg4_0);

    stp2_10 = _mm_packs_epi32(tmp0, zero);
    stp2_13 = _mm_packs_epi32(tmp1, zero);
    stp2_11 = _mm_packs_epi32(tmp2, zero);
    stp2_12 = _mm_packs_epi32(tmp3, zero);

    tmp0 = _mm_add_epi16(stp1_0, stp1_4);
    tmp1 = _mm_sub_epi16(stp1_0, stp1_4);
    tmp2 = _mm_add_epi16(stp1_1, stp1_6);
    tmp3 = _mm_sub_epi16(stp1_1, stp1_6);

    stp2_0 = _mm_unpackhi_epi64(tmp0, zero);
    stp2_1 = _mm_unpacklo_epi64(tmp2, zero);
    stp2_2 = _mm_unpackhi_epi64(tmp2, zero);
    stp2_3 = _mm_unpacklo_epi64(tmp0, zero);
    stp2_4 = _mm_unpacklo_epi64(tmp1, zero);
    stp2_5 = _mm_unpackhi_epi64(tmp3, zero);
    stp2_6 = _mm_unpacklo_epi64(tmp3, zero);
    stp2_7 = _mm_unpackhi_epi64(tmp1, zero);
  }

  // Stage7. Left 8x16 only.
  l[0] = _mm_add_epi16(stp2_0, stp1_15);
  l[1] = _mm_add_epi16(stp2_1, stp1_14);
  l[2] = _mm_add_epi16(stp2_2, stp2_13);
  l[3] = _mm_add_epi16(stp2_3, stp2_12);
  l[4] = _mm_add_epi16(stp2_4, stp2_11);
  l[5] = _mm_add_epi16(stp2_5, stp2_10);
  l[6] = _mm_add_epi16(stp2_6, stp1_9);
  l[7] = _mm_add_epi16(stp2_7, stp1_8);
  l[8] = _mm_sub_epi16(stp2_7, stp1_8);
  l[9] = _mm_sub_epi16(stp2_6, stp1_9);
  l[10] = _mm_sub_epi16(stp2_5, stp2_10);
  l[11] = _mm_sub_epi16(stp2_4, stp2_11);
  l[12] = _mm_sub_epi16(stp2_3, stp2_12);
  l[13] = _mm_sub_epi16(stp2_2, stp2_13);
  l[14] = _mm_sub_epi16(stp2_1, stp1_14);
  l[15] = _mm_sub_epi16(stp2_0, stp1_15);

  // Second 1-D inverse transform, performed per 8x16 block
  for (i = 0; i < 2; i++) {
    int j;
    transpose_16bit_4x8(l + 8 * i, in);

    IDCT16_10

    // Stage7
    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);

    for (j = 0; j < 16; ++j) {
      // Final rounding and shift
      in[j] = _mm_adds_epi16(in[j], final_rounding);
      in[j] = _mm_srai_epi16(in[j], 6);
      recon_and_store(dest + j * stride, in[j]);
    }

    dest += 8;
  }
}

#define IDCT32_34                                                              \
  /* Stage1 */                                                                 \
  multiplication_and_add_2(&in[1], &zero, &stg1_0, &stg1_1, &stp1_16,          \
                           &stp1_31);                                          \
  multiplication_and_add_2(&zero, &in[7], &stg1_6, &stg1_7, &stp1_19,          \
                           &stp1_28);                                          \
  multiplication_and_add_2(&in[5], &zero, &stg1_8, &stg1_9, &stp1_20,          \
                           &stp1_27);                                          \
  multiplication_and_add_2(&zero, &in[3], &stg1_14, &stg1_15, &stp1_23,        \
                           &stp1_24);                                          \
                                                                               \
  /* Stage2 */                                                                 \
  multiplication_and_add_2(&in[2], &zero, &stg2_0, &stg2_1, &stp2_8,           \
                           &stp2_15);                                          \
  multiplication_and_add_2(&zero, &in[6], &stg2_6, &stg2_7, &stp2_11,          \
                           &stp2_12);                                          \
                                                                               \
  stp2_16 = stp1_16;                                                           \
  stp2_19 = stp1_19;                                                           \
                                                                               \
  stp2_20 = stp1_20;                                                           \
  stp2_23 = stp1_23;                                                           \
                                                                               \
  stp2_24 = stp1_24;                                                           \
  stp2_27 = stp1_27;                                                           \
                                                                               \
  stp2_28 = stp1_28;                                                           \
  stp2_31 = stp1_31;                                                           \
                                                                               \
  /* Stage3 */                                                                 \
  multiplication_and_add_2(&in[4], &zero, &stg3_0, &stg3_1, &stp1_4, &stp1_7); \
                                                                               \
  stp1_8 = stp2_8;                                                             \
  stp1_11 = stp2_11;                                                           \
  stp1_12 = stp2_12;                                                           \
  stp1_15 = stp2_15;                                                           \
                                                                               \
  multiplication_and_add(&stp1_16, &stp1_31, &stp1_19, &stp1_28, &stg3_4,      \
                         &stg3_5, &stg3_6, &stg3_4, &stp1_17, &stp1_30,        \
                         &stp1_18, &stp1_29);                                  \
                                                                               \
  multiplication_and_add(&stp1_20, &stp1_27, &stp1_23, &stp1_24, &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 */                                                                 \
  multiplication_and_add_2(&in[0], &zero, &stg4_0, &stg4_1, &stp2_0, &stp2_1); \
                                                                               \
  stp2_4 = stp1_4;                                                             \
  stp2_5 = stp1_4;                                                             \
  stp2_6 = stp1_7;                                                             \
  stp2_7 = stp1_7;                                                             \
                                                                               \
  multiplication_and_add(&stp2_8, &stp2_15, &stp2_11, &stp2_12, &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 */                                                                 \
  stp1_0 = stp2_0;                                                             \
  stp1_1 = stp2_1;                                                             \
  stp1_2 = stp2_1;                                                             \
  stp1_3 = stp2_0;                                                             \
  multiplication_and_add_2(&stp2_6, &stp2_5, &stg4_1, &stg4_0, &stp1_5,        \
                           &stp1_6);                                           \
                                                                               \
  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(&stp2_18, &stp2_29, &stp2_19, &stp2_28, &stg4_4,      \
                         &stg4_5, &stg4_4, &stg4_5, &stp1_18, &stp1_29,        \
                         &stp1_19, &stp1_28);                                  \
  multiplication_and_add(&stp2_20, &stp2_27, &stp2_21, &stp2_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 */                                                                 \
  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(&stp1_10, &stp1_13, &stp1_11, &stp1_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 */                                                                 \
  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(&stp2_20, &stp2_27, &stp2_21, &stp2_26, &stg6_0,      \
                         &stg4_0, &stg6_0, &stg4_0, &stp1_20, &stp1_27,        \
                         &stp1_21, &stp1_26);                                  \
  multiplication_and_add(&stp2_22, &stp2_25, &stp2_23, &stp2_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;

// Only upper-left 8x8 has non-zero coeff
void vpx_idct32x32_34_add_sse2(const tran_low_t *input, uint8_t *dest,
                               int stride) {
  const __m128i zero = _mm_setzero_si128();
  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_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_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_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_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_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 in[32], col[32];
  __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;
  int i;

  // Load input data. Only need to load the top left 8x8 block.
  in[0] = load_input_data8(input + 0 * 32);
  in[1] = load_input_data8(input + 1 * 32);
  in[2] = load_input_data8(input + 2 * 32);
  in[3] = load_input_data8(input + 3 * 32);
  in[4] = load_input_data8(input + 4 * 32);
  in[5] = load_input_data8(input + 5 * 32);
  in[6] = load_input_data8(input + 6 * 32);
  in[7] = load_input_data8(input + 7 * 32);

  transpose_16bit_8x8(in, in);
  IDCT32_34

  // 1_D: Store 32 intermediate results for each 8x32 block.
  col[0] = _mm_add_epi16(stp1_0, stp1_31);
  col[1] = _mm_add_epi16(stp1_1, stp1_30);
  col[2] = _mm_add_epi16(stp1_2, stp1_29);
  col[3] = _mm_add_epi16(stp1_3, stp1_28);
  col[4] = _mm_add_epi16(stp1_4, stp1_27);
  col[5] = _mm_add_epi16(stp1_5, stp1_26);
  col[6] = _mm_add_epi16(stp1_6, stp1_25);
  col[7] = _mm_add_epi16(stp1_7, stp1_24);
  col[8] = _mm_add_epi16(stp1_8, stp1_23);
  col[9] = _mm_add_epi16(stp1_9, stp1_22);
  col[10] = _mm_add_epi16(stp1_10, stp1_21);
  col[11] = _mm_add_epi16(stp1_11, stp1_20);
  col[12] = _mm_add_epi16(stp1_12, stp1_19);
  col[13] = _mm_add_epi16(stp1_13, stp1_18);
  col[14] = _mm_add_epi16(stp1_14, stp1_17);
  col[15] = _mm_add_epi16(stp1_15, stp1_16);
  col[16] = _mm_sub_epi16(stp1_15, stp1_16);
  col[17] = _mm_sub_epi16(stp1_14, stp1_17);
  col[18] = _mm_sub_epi16(stp1_13, stp1_18);
  col[19] = _mm_sub_epi16(stp1_12, stp1_19);
  col[20] = _mm_sub_epi16(stp1_11, stp1_20);
  col[21] = _mm_sub_epi16(stp1_10, stp1_21);
  col[22] = _mm_sub_epi16(stp1_9, stp1_22);
  col[23] = _mm_sub_epi16(stp1_8, stp1_23);
  col[24] = _mm_sub_epi16(stp1_7, stp1_24);
  col[25] = _mm_sub_epi16(stp1_6, stp1_25);
  col[26] = _mm_sub_epi16(stp1_5, stp1_26);
  col[27] = _mm_sub_epi16(stp1_4, stp1_27);
  col[28] = _mm_sub_epi16(stp1_3, stp1_28);
  col[29] = _mm_sub_epi16(stp1_2, stp1_29);
  col[30] = _mm_sub_epi16(stp1_1, stp1_30);
  col[31] = _mm_sub_epi16(stp1_0, stp1_31);
  for (i = 0; i < 4; i++) {
    int j;
    // Transpose 32x8 block to 8x32 block
    transpose_16bit_8x8(col + i * 8, in);
    IDCT32_34

    // 2_D: Calculate the results and store them to destination.
    in[0] = _mm_add_epi16(stp1_0, stp1_31);
    in[1] = _mm_add_epi16(stp1_1, stp1_30);
    in[2] = _mm_add_epi16(stp1_2, stp1_29);
    in[3] = _mm_add_epi16(stp1_3, stp1_28);
    in[4] = _mm_add_epi16(stp1_4, stp1_27);
    in[5] = _mm_add_epi16(stp1_5, stp1_26);
    in[6] = _mm_add_epi16(stp1_6, stp1_25);
    in[7] = _mm_add_epi16(stp1_7, stp1_24);
    in[8] = _mm_add_epi16(stp1_8, stp1_23);
    in[9] = _mm_add_epi16(stp1_9, stp1_22);
    in[10] = _mm_add_epi16(stp1_10, stp1_21);
    in[11] = _mm_add_epi16(stp1_11, stp1_20);
    in[12] = _mm_add_epi16(stp1_12, stp1_19);
    in[13] = _mm_add_epi16(stp1_13, stp1_18);
    in[14] = _mm_add_epi16(stp1_14, stp1_17);
    in[15] = _mm_add_epi16(stp1_15, stp1_16);
    in[16] = _mm_sub_epi16(stp1_15, stp1_16);
    in[17] = _mm_sub_epi16(stp1_14, stp1_17);
    in[18] = _mm_sub_epi16(stp1_13, stp1_18);
    in[19] = _mm_sub_epi16(stp1_12, stp1_19);
    in[20] = _mm_sub_epi16(stp1_11, stp1_20);
    in[21] = _mm_sub_epi16(stp1_10, stp1_21);
    in[22] = _mm_sub_epi16(stp1_9, stp1_22);
    in[23] = _mm_sub_epi16(stp1_8, stp1_23);
    in[24] = _mm_sub_epi16(stp1_7, stp1_24);
    in[25] = _mm_sub_epi16(stp1_6, stp1_25);
    in[26] = _mm_sub_epi16(stp1_5, stp1_26);
    in[27] = _mm_sub_epi16(stp1_4, stp1_27);
    in[28] = _mm_sub_epi16(stp1_3, stp1_28);
    in[29] = _mm_sub_epi16(stp1_2, stp1_29);
    in[30] = _mm_sub_epi16(stp1_1, stp1_30);
    in[31] = _mm_sub_epi16(stp1_0, stp1_31);

    for (j = 0; j < 32; ++j) {
      // Final rounding and shift
      in[j] = _mm_adds_epi16(in[j], final_rounding);
      in[j] = _mm_srai_epi16(in[j], 6);
      recon_and_store(dest + j * stride, in[j]);
    }

    dest += 8;
  }
}

// For each 8x32 block __m128i in[32],
// Input with index, 0, 4, 8, 12, 16, 20, 24, 28
// output pixels: 0-7 in __m128i in[32]
static void idct32_full_8x32_quarter_1(const __m128i *in /*in[32]*/,
                                       __m128i *out /*out[8]*/) {
  __m128i u0, u1, u2, u3, u4, u5, u6, u7;  // stp1_
  __m128i v0, v1, v2, v3, v4, v5, v6, v7;  // stp2_

  {
    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);
    butterfly(&in[4], &in[28], &stg3_0, &stg3_1, &u4, &u7);
    butterfly(&in[20], &in[12], &stg3_2, &stg3_3, &u5, &u6);
  }

  v4 = _mm_add_epi16(u4, u5);
  v5 = _mm_sub_epi16(u4, u5);
  v6 = _mm_sub_epi16(u7, u6);
  v7 = _mm_add_epi16(u7, u6);

  {
    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);
    butterfly(&v6, &v5, &stg4_1, &stg4_0, &v5, &v6);

    butterfly(&in[0], &in[16], &stg4_0, &stg4_1, &u0, &u1);
    butterfly(&in[8], &in[24], &stg4_2, &stg4_3, &u2, &u3);
  }

  v0 = _mm_add_epi16(u0, u3);
  v1 = _mm_add_epi16(u1, u2);
  v2 = _mm_sub_epi16(u1, u2);
  v3 = _mm_sub_epi16(u0, u3);

  out[0] = _mm_add_epi16(v0, v7);
  out[1] = _mm_add_epi16(v1, v6);
  out[2] = _mm_add_epi16(v2, v5);
  out[3] = _mm_add_epi16(v3, v4);
  out[4] = _mm_sub_epi16(v3, v4);
  out[5] = _mm_sub_epi16(v2, v5);
  out[6] = _mm_sub_epi16(v1, v6);
  out[7] = _mm_sub_epi16(v0, v7);
}

// For each 8x32 block __m128i in[32],
// Input with index, 2, 6, 10, 14, 18, 22, 26, 30
// output pixels: 8-15 in __m128i in[32]
static void idct32_full_8x32_quarter_2(const __m128i *in /*in[32]*/,
                                       __m128i *out /*out[16]*/) {
  __m128i u8, u9, u10, u11, u12, u13, u14, u15;  // stp2_
  __m128i v8, v9, v10, v11, v12, v13, v14, v15;  // stp1_

  {
    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);
    butterfly(&in[2], &in[30], &stg2_0, &stg2_1, &u8, &u15);
    butterfly(&in[18], &in[14], &stg2_2, &stg2_3, &u9, &u14);
  }

  v8 = _mm_add_epi16(u8, u9);
  v9 = _mm_sub_epi16(u8, u9);
  v14 = _mm_sub_epi16(u15, u14);
  v15 = _mm_add_epi16(u15, u14);

  {
    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);
    butterfly(&in[10], &in[22], &stg2_4, &stg2_5, &u10, &u13);
    butterfly(&in[26], &in[6], &stg2_6, &stg2_7, &u11, &u12);
  }

  v10 = _mm_sub_epi16(u11, u10);
  v11 = _mm_add_epi16(u11, u10);
  v12 = _mm_add_epi16(u12, u13);
  v13 = _mm_sub_epi16(u12, u13);

  {
    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);
    butterfly_self(&v9, &v14, &stg4_4, &stg4_5);
    butterfly_self(&v10, &v13, &stg4_6, &stg4_4);
  }

  out[0] = _mm_add_epi16(v8, v11);
  out[1] = _mm_add_epi16(v9, v10);
  out[6] = _mm_add_epi16(v14, v13);
  out[7] = _mm_add_epi16(v15, v12);

  out[2] = _mm_sub_epi16(v9, v10);
  out[3] = _mm_sub_epi16(v8, v11);
  out[4] = _mm_sub_epi16(v15, v12);
  out[5] = _mm_sub_epi16(v14, v13);

  {
    const __m128i stg4_0 = pair_set_epi16(cospi_16_64, cospi_16_64);
    const __m128i stg6_0 = pair_set_epi16(-cospi_16_64, cospi_16_64);
    butterfly_self(&out[2], &out[5], &stg6_0, &stg4_0);
    butterfly_self(&out[3], &out[4], &stg6_0, &stg4_0);
  }
}

// For each 8x32 block __m128i in[32],
// Input with odd index,
// 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31
// output pixels: 16-23, 24-31 in __m128i in[32]
// We avoid hide an offset, 16, inside this function. So we output 0-15 into
// array out[16]
static void idct32_full_8x32_quarter_3_4(const __m128i *in /*in[32]*/,
                                         __m128i *out /*out[16]*/) {
  __m128i v16, v17, v18, v19, v20, v21, v22, v23;
  __m128i v24, v25, v26, v27, v28, v29, v30, v31;
  __m128i u16, u17, u18, u19, u20, u21, u22, u23;
  __m128i u24, u25, u26, u27, u28, u29, u30, u31;

  {
    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);
    butterfly(&in[1], &in[31], &stg1_0, &stg1_1, &u16, &u31);
    butterfly(&in[17], &in[15], &stg1_2, &stg1_3, &u17, &u30);
    butterfly(&in[9], &in[23], &stg1_4, &stg1_5, &u18, &u29);
    butterfly(&in[25], &in[7], &stg1_6, &stg1_7, &u19, &u28);

    butterfly(&in[5], &in[27], &stg1_8, &stg1_9, &u20, &u27);
    butterfly(&in[21], &in[11], &stg1_10, &stg1_11, &u21, &u26);

    butterfly(&in[13], &in[19], &stg1_12, &stg1_13, &u22, &u25);
    butterfly(&in[29], &in[3], &stg1_14, &stg1_15, &u23, &u24);
  }

  v16 = _mm_add_epi16(u16, u17);
  v17 = _mm_sub_epi16(u16, u17);
  v18 = _mm_sub_epi16(u19, u18);
  v19 = _mm_add_epi16(u19, u18);

  v20 = _mm_add_epi16(u20, u21);
  v21 = _mm_sub_epi16(u20, u21);
  v22 = _mm_sub_epi16(u23, u22);
  v23 = _mm_add_epi16(u23, u22);

  v24 = _mm_add_epi16(u24, u25);
  v25 = _mm_sub_epi16(u24, u25);
  v26 = _mm_sub_epi16(u27, u26);
  v27 = _mm_add_epi16(u27, u26);

  v28 = _mm_add_epi16(u28, u29);
  v29 = _mm_sub_epi16(u28, u29);
  v30 = _mm_sub_epi16(u31, u30);
  v31 = _mm_add_epi16(u31, u30);

  {
    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);
    butterfly_self(&v17, &v30, &stg3_4, &stg3_5);
    butterfly_self(&v18, &v29, &stg3_6, &stg3_4);
    butterfly_self(&v21, &v26, &stg3_8, &stg3_9);
    butterfly_self(&v22, &v25, &stg3_10, &stg3_8);
  }

  u16 = _mm_add_epi16(v16, v19);
  u17 = _mm_add_epi16(v17, v18);
  u18 = _mm_sub_epi16(v17, v18);
  u19 = _mm_sub_epi16(v16, v19);
  u20 = _mm_sub_epi16(v23, v20);
  u21 = _mm_sub_epi16(v22, v21);
  u22 = _mm_add_epi16(v22, v21);
  u23 = _mm_add_epi16(v23, v20);

  u24 = _mm_add_epi16(v24, v27);
  u25 = _mm_add_epi16(v25, v26);
  u26 = _mm_sub_epi16(v25, v26);
  u27 = _mm_sub_epi16(v24, v27);

  u28 = _mm_sub_epi16(v31, v28);
  u29 = _mm_sub_epi16(v30, v29);
  u30 = _mm_add_epi16(v29, v30);
  u31 = _mm_add_epi16(v28, v31);

  {
    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);
    butterfly_self(&u18, &u29, &stg4_4, &stg4_5);
    butterfly_self(&u19, &u28, &stg4_4, &stg4_5);
    butterfly_self(&u20, &u27, &stg4_6, &stg4_4);
    butterfly_self(&u21, &u26, &stg4_6, &stg4_4);
  }

  out[0] = _mm_add_epi16(u16, u23);
  out[1] = _mm_add_epi16(u17, u22);
  out[2] = _mm_add_epi16(u18, u21);
  out[3] = _mm_add_epi16(u19, u20);
  out[4] = _mm_sub_epi16(u19, u20);
  out[5] = _mm_sub_epi16(u18, u21);
  out[6] = _mm_sub_epi16(u17, u22);
  out[7] = _mm_sub_epi16(u16, u23);

  out[8] = _mm_sub_epi16(u31, u24);
  out[9] = _mm_sub_epi16(u30, u25);
  out[10] = _mm_sub_epi16(u29, u26);
  out[11] = _mm_sub_epi16(u28, u27);
  out[12] = _mm_add_epi16(u27, u28);
  out[13] = _mm_add_epi16(u26, u29);
  out[14] = _mm_add_epi16(u25, u30);
  out[15] = _mm_add_epi16(u24, u31);

  {
    const __m128i stg4_0 = pair_set_epi16(cospi_16_64, cospi_16_64);
    const __m128i stg6_0 = pair_set_epi16(-cospi_16_64, cospi_16_64);
    butterfly_self(&out[4], &out[11], &stg6_0, &stg4_0);
    butterfly_self(&out[5], &out[10], &stg6_0, &stg4_0);
    butterfly_self(&out[6], &out[9], &stg6_0, &stg4_0);
    butterfly_self(&out[7], &out[8], &stg6_0, &stg4_0);
  }
}

static void idct32_full_8x32_quarter_1_2(const __m128i *in /*in[32]*/,
                                         __m128i *out /*out[32]*/) {
  __m128i temp[16];
  idct32_full_8x32_quarter_1(in, temp);
  idct32_full_8x32_quarter_2(in, &temp[8]);
  add_sub_butterfly(temp, out, 16);
}

static void idct32_full_8x32(const __m128i *in /*in[32]*/,
                             __m128i *out /*out[32]*/) {
  __m128i temp[32];
  idct32_full_8x32_quarter_1_2(in, temp);
  idct32_full_8x32_quarter_3_4(in, &temp[16]);
  add_sub_butterfly(temp, out, 32);
}

static void load_buffer_8x32(const tran_low_t *input, __m128i *in) {
  int i;
  for (i = 0; i < 8; ++i) {
    in[i] = load_input_data8(input);
    in[i + 8] = load_input_data8(input + 8);
    in[i + 16] = load_input_data8(input + 16);
    in[i + 24] = load_input_data8(input + 24);
    input += 32;
  }
}

void vpx_idct32x32_1024_add_sse2(const tran_low_t *input, uint8_t *dest,
                                 int stride) {
  __m128i col[128], in[32];
  int i, j;

  // rows
  for (i = 0; i < 4; ++i) {
    load_buffer_8x32(input, in);
    input += 32 << 3;

    // Transpose 32x8 block to 8x32 block
    transpose_16bit_8x8(in, in);
    transpose_16bit_8x8(in + 8, in + 8);
    transpose_16bit_8x8(in + 16, in + 16);
    transpose_16bit_8x8(in + 24, in + 24);

    idct32_full_8x32(in, col + (i << 5));
  }

  // columns
  for (i = 0; i < 4; ++i) {
    j = i << 3;
    // Transpose 32x8 block to 8x32 block
    transpose_16bit_8x8(col + j, in);
    transpose_16bit_8x8(col + j + 32, in + 8);
    transpose_16bit_8x8(col + j + 64, in + 16);
    transpose_16bit_8x8(col + j + 96, in + 24);

    idct32_full_8x32(in, in);
    store_buffer_8x32(in, dest, stride);
    dest += 8;
  }
}

void vpx_idct32x32_1_add_sse2(const tran_low_t *input, uint8_t *dest,
                              int stride) {
  __m128i dc_value;
  int j;
  tran_high_t a1;
  tran_low_t out = WRAPLOW(dct_const_round_shift(input[0] * cospi_16_64));

  out = WRAPLOW(dct_const_round_shift(out * cospi_16_64));
  a1 = ROUND_POWER_OF_TWO(out, 6);
  dc_value = _mm_set1_epi16(a1);

  for (j = 0; j < 32; ++j) {
    recon_and_store_16(dest + j * stride + 0, dc_value);
    recon_and_store_16(dest + j * stride + 16, dc_value);
  }
}