libwebp/dsp/dec_sse2.c

// Copyright 2011 Google Inc. All Rights Reserved.
//
// Use of this source code is governed by a BSD-style license
// that can be found in the COPYING 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.
// -----------------------------------------------------------------------------
//
// SSE2 version of some decoding functions (idct, loop filtering).
//
// Author: somnath@google.com (Somnath Banerjee)
//         cduvivier@google.com (Christian Duvivier)

#include "./dsp.h"

#if defined(__cplusplus) || defined(c_plusplus)
extern "C" {
#endif

#if defined(WEBP_USE_SSE2)

#include <emmintrin.h>
#include "../dec/vp8i.h"

//------------------------------------------------------------------------------
// Transforms (Paragraph 14.4)

static void TransformSSE2(const int16_t* in, uint8_t* dst, int do_two) {
  // This implementation makes use of 16-bit fixed point versions of two
  // multiply constants:
  //    K1 = sqrt(2) * cos (pi/8) ~= 85627 / 2^16
  //    K2 = sqrt(2) * sin (pi/8) ~= 35468 / 2^16
  //
  // To be able to use signed 16-bit integers, we use the following trick to
  // have constants within range:
  // - Associated constants are obtained by subtracting the 16-bit fixed point
  //   version of one:
  //      k = K - (1 << 16)  =>  K = k + (1 << 16)
  //      K1 = 85267  =>  k1 =  20091
  //      K2 = 35468  =>  k2 = -30068
  // - The multiplication of a variable by a constant become the sum of the
  //   variable and the multiplication of that variable by the associated
  //   constant:
  //      (x * K) >> 16 = (x * (k + (1 << 16))) >> 16 = ((x * k ) >> 16) + x
  const __m128i k1 = _mm_set1_epi16(20091);
  const __m128i k2 = _mm_set1_epi16(-30068);
  __m128i T0, T1, T2, T3;

  // Load and concatenate the transform coefficients (we'll do two transforms
  // in parallel). In the case of only one transform, the second half of the
  // vectors will just contain random value we'll never use nor store.
  __m128i in0, in1, in2, in3;
  {
    in0 = _mm_loadl_epi64((__m128i*)&in[0]);
    in1 = _mm_loadl_epi64((__m128i*)&in[4]);
    in2 = _mm_loadl_epi64((__m128i*)&in[8]);
    in3 = _mm_loadl_epi64((__m128i*)&in[12]);
    // a00 a10 a20 a30   x x x x
    // a01 a11 a21 a31   x x x x
    // a02 a12 a22 a32   x x x x
    // a03 a13 a23 a33   x x x x
    if (do_two) {
      const __m128i inB0 = _mm_loadl_epi64((__m128i*)&in[16]);
      const __m128i inB1 = _mm_loadl_epi64((__m128i*)&in[20]);
      const __m128i inB2 = _mm_loadl_epi64((__m128i*)&in[24]);
      const __m128i inB3 = _mm_loadl_epi64((__m128i*)&in[28]);
      in0 = _mm_unpacklo_epi64(in0, inB0);
      in1 = _mm_unpacklo_epi64(in1, inB1);
      in2 = _mm_unpacklo_epi64(in2, inB2);
      in3 = _mm_unpacklo_epi64(in3, inB3);
      // a00 a10 a20 a30   b00 b10 b20 b30
      // a01 a11 a21 a31   b01 b11 b21 b31
      // a02 a12 a22 a32   b02 b12 b22 b32
      // a03 a13 a23 a33   b03 b13 b23 b33
    }
  }

  // Vertical pass and subsequent transpose.
  {
    // First pass, c and d calculations are longer because of the "trick"
    // multiplications.
    const __m128i a = _mm_add_epi16(in0, in2);
    const __m128i b = _mm_sub_epi16(in0, in2);
    // c = MUL(in1, K2) - MUL(in3, K1) = MUL(in1, k2) - MUL(in3, k1) + in1 - in3
    const __m128i c1 = _mm_mulhi_epi16(in1, k2);
    const __m128i c2 = _mm_mulhi_epi16(in3, k1);
    const __m128i c3 = _mm_sub_epi16(in1, in3);
    const __m128i c4 = _mm_sub_epi16(c1, c2);
    const __m128i c = _mm_add_epi16(c3, c4);
    // d = MUL(in1, K1) + MUL(in3, K2) = MUL(in1, k1) + MUL(in3, k2) + in1 + in3
    const __m128i d1 = _mm_mulhi_epi16(in1, k1);
    const __m128i d2 = _mm_mulhi_epi16(in3, k2);
    const __m128i d3 = _mm_add_epi16(in1, in3);
    const __m128i d4 = _mm_add_epi16(d1, d2);
    const __m128i d = _mm_add_epi16(d3, d4);

    // Second pass.
    const __m128i tmp0 = _mm_add_epi16(a, d);
    const __m128i tmp1 = _mm_add_epi16(b, c);
    const __m128i tmp2 = _mm_sub_epi16(b, c);
    const __m128i tmp3 = _mm_sub_epi16(a, d);

    // Transpose the two 4x4.
    // a00 a01 a02 a03   b00 b01 b02 b03
    // a10 a11 a12 a13   b10 b11 b12 b13
    // a20 a21 a22 a23   b20 b21 b22 b23
    // a30 a31 a32 a33   b30 b31 b32 b33
    const __m128i transpose0_0 = _mm_unpacklo_epi16(tmp0, tmp1);
    const __m128i transpose0_1 = _mm_unpacklo_epi16(tmp2, tmp3);
    const __m128i transpose0_2 = _mm_unpackhi_epi16(tmp0, tmp1);
    const __m128i transpose0_3 = _mm_unpackhi_epi16(tmp2, tmp3);
    // a00 a10 a01 a11   a02 a12 a03 a13
    // a20 a30 a21 a31   a22 a32 a23 a33
    // b00 b10 b01 b11   b02 b12 b03 b13
    // b20 b30 b21 b31   b22 b32 b23 b33
    const __m128i transpose1_0 = _mm_unpacklo_epi32(transpose0_0, transpose0_1);
    const __m128i transpose1_1 = _mm_unpacklo_epi32(transpose0_2, transpose0_3);
    const __m128i transpose1_2 = _mm_unpackhi_epi32(transpose0_0, transpose0_1);
    const __m128i transpose1_3 = _mm_unpackhi_epi32(transpose0_2, transpose0_3);
    // a00 a10 a20 a30 a01 a11 a21 a31
    // b00 b10 b20 b30 b01 b11 b21 b31
    // a02 a12 a22 a32 a03 a13 a23 a33
    // b02 b12 a22 b32 b03 b13 b23 b33
    T0 = _mm_unpacklo_epi64(transpose1_0, transpose1_1);
    T1 = _mm_unpackhi_epi64(transpose1_0, transpose1_1);
    T2 = _mm_unpacklo_epi64(transpose1_2, transpose1_3);
    T3 = _mm_unpackhi_epi64(transpose1_2, transpose1_3);
    // a00 a10 a20 a30   b00 b10 b20 b30
    // a01 a11 a21 a31   b01 b11 b21 b31
    // a02 a12 a22 a32   b02 b12 b22 b32
    // a03 a13 a23 a33   b03 b13 b23 b33
  }

  // Horizontal pass and subsequent transpose.
  {
    // First pass, c and d calculations are longer because of the "trick"
    // multiplications.
    const __m128i four = _mm_set1_epi16(4);
    const __m128i dc = _mm_add_epi16(T0, four);
    const __m128i a =  _mm_add_epi16(dc, T2);
    const __m128i b =  _mm_sub_epi16(dc, T2);
    // c = MUL(T1, K2) - MUL(T3, K1) = MUL(T1, k2) - MUL(T3, k1) + T1 - T3
    const __m128i c1 = _mm_mulhi_epi16(T1, k2);
    const __m128i c2 = _mm_mulhi_epi16(T3, k1);
    const __m128i c3 = _mm_sub_epi16(T1, T3);
    const __m128i c4 = _mm_sub_epi16(c1, c2);
    const __m128i c = _mm_add_epi16(c3, c4);
    // d = MUL(T1, K1) + MUL(T3, K2) = MUL(T1, k1) + MUL(T3, k2) + T1 + T3
    const __m128i d1 = _mm_mulhi_epi16(T1, k1);
    const __m128i d2 = _mm_mulhi_epi16(T3, k2);
    const __m128i d3 = _mm_add_epi16(T1, T3);
    const __m128i d4 = _mm_add_epi16(d1, d2);
    const __m128i d = _mm_add_epi16(d3, d4);

    // Second pass.
    const __m128i tmp0 = _mm_add_epi16(a, d);
    const __m128i tmp1 = _mm_add_epi16(b, c);
    const __m128i tmp2 = _mm_sub_epi16(b, c);
    const __m128i tmp3 = _mm_sub_epi16(a, d);
    const __m128i shifted0 = _mm_srai_epi16(tmp0, 3);
    const __m128i shifted1 = _mm_srai_epi16(tmp1, 3);
    const __m128i shifted2 = _mm_srai_epi16(tmp2, 3);
    const __m128i shifted3 = _mm_srai_epi16(tmp3, 3);

    // Transpose the two 4x4.
    // a00 a01 a02 a03   b00 b01 b02 b03
    // a10 a11 a12 a13   b10 b11 b12 b13
    // a20 a21 a22 a23   b20 b21 b22 b23
    // a30 a31 a32 a33   b30 b31 b32 b33
    const __m128i transpose0_0 = _mm_unpacklo_epi16(shifted0, shifted1);
    const __m128i transpose0_1 = _mm_unpacklo_epi16(shifted2, shifted3);
    const __m128i transpose0_2 = _mm_unpackhi_epi16(shifted0, shifted1);
    const __m128i transpose0_3 = _mm_unpackhi_epi16(shifted2, shifted3);
    // a00 a10 a01 a11   a02 a12 a03 a13
    // a20 a30 a21 a31   a22 a32 a23 a33
    // b00 b10 b01 b11   b02 b12 b03 b13
    // b20 b30 b21 b31   b22 b32 b23 b33
    const __m128i transpose1_0 = _mm_unpacklo_epi32(transpose0_0, transpose0_1);
    const __m128i transpose1_1 = _mm_unpacklo_epi32(transpose0_2, transpose0_3);
    const __m128i transpose1_2 = _mm_unpackhi_epi32(transpose0_0, transpose0_1);
    const __m128i transpose1_3 = _mm_unpackhi_epi32(transpose0_2, transpose0_3);
    // a00 a10 a20 a30 a01 a11 a21 a31
    // b00 b10 b20 b30 b01 b11 b21 b31
    // a02 a12 a22 a32 a03 a13 a23 a33
    // b02 b12 a22 b32 b03 b13 b23 b33
    T0 = _mm_unpacklo_epi64(transpose1_0, transpose1_1);
    T1 = _mm_unpackhi_epi64(transpose1_0, transpose1_1);
    T2 = _mm_unpacklo_epi64(transpose1_2, transpose1_3);
    T3 = _mm_unpackhi_epi64(transpose1_2, transpose1_3);
    // a00 a10 a20 a30   b00 b10 b20 b30
    // a01 a11 a21 a31   b01 b11 b21 b31
    // a02 a12 a22 a32   b02 b12 b22 b32
    // a03 a13 a23 a33   b03 b13 b23 b33
  }

  // Add inverse transform to 'dst' and store.
  {
    const __m128i zero = _mm_setzero_si128();
    // Load the reference(s).
    __m128i dst0, dst1, dst2, dst3;
    if (do_two) {
      // Load eight bytes/pixels per line.
      dst0 = _mm_loadl_epi64((__m128i*)&dst[0 * BPS]);
      dst1 = _mm_loadl_epi64((__m128i*)&dst[1 * BPS]);
      dst2 = _mm_loadl_epi64((__m128i*)&dst[2 * BPS]);
      dst3 = _mm_loadl_epi64((__m128i*)&dst[3 * BPS]);
    } else {
      // Load four bytes/pixels per line.
      dst0 = _mm_cvtsi32_si128(*(int*)&dst[0 * BPS]);
      dst1 = _mm_cvtsi32_si128(*(int*)&dst[1 * BPS]);
      dst2 = _mm_cvtsi32_si128(*(int*)&dst[2 * BPS]);
      dst3 = _mm_cvtsi32_si128(*(int*)&dst[3 * BPS]);
    }
    // Convert to 16b.
    dst0 = _mm_unpacklo_epi8(dst0, zero);
    dst1 = _mm_unpacklo_epi8(dst1, zero);
    dst2 = _mm_unpacklo_epi8(dst2, zero);
    dst3 = _mm_unpacklo_epi8(dst3, zero);
    // Add the inverse transform(s).
    dst0 = _mm_add_epi16(dst0, T0);
    dst1 = _mm_add_epi16(dst1, T1);
    dst2 = _mm_add_epi16(dst2, T2);
    dst3 = _mm_add_epi16(dst3, T3);
    // Unsigned saturate to 8b.
    dst0 = _mm_packus_epi16(dst0, dst0);
    dst1 = _mm_packus_epi16(dst1, dst1);
    dst2 = _mm_packus_epi16(dst2, dst2);
    dst3 = _mm_packus_epi16(dst3, dst3);
    // Store the results.
    if (do_two) {
      // Store eight bytes/pixels per line.
      _mm_storel_epi64((__m128i*)&dst[0 * BPS], dst0);
      _mm_storel_epi64((__m128i*)&dst[1 * BPS], dst1);
      _mm_storel_epi64((__m128i*)&dst[2 * BPS], dst2);
      _mm_storel_epi64((__m128i*)&dst[3 * BPS], dst3);
    } else {
      // Store four bytes/pixels per line.
      *((int32_t *)&dst[0 * BPS]) = _mm_cvtsi128_si32(dst0);
      *((int32_t *)&dst[1 * BPS]) = _mm_cvtsi128_si32(dst1);
      *((int32_t *)&dst[2 * BPS]) = _mm_cvtsi128_si32(dst2);
      *((int32_t *)&dst[3 * BPS]) = _mm_cvtsi128_si32(dst3);
    }
  }
}

//------------------------------------------------------------------------------
// Loop Filter (Paragraph 15)

// Compute abs(p - q) = subs(p - q) OR subs(q - p)
#define MM_ABS(p, q)  _mm_or_si128(                                            \
    _mm_subs_epu8((q), (p)),                                                   \
    _mm_subs_epu8((p), (q)))

// Shift each byte of "a" by N bits while preserving by the sign bit.
//
// It first shifts the lower bytes of the words and then the upper bytes and
// then merges the results together.
#define SIGNED_SHIFT_N(a, N) {                                                 \
  __m128i t = a;                                                               \
  t = _mm_slli_epi16(t, 8);                                                    \
  t = _mm_srai_epi16(t, N);                                                    \
  t = _mm_srli_epi16(t, 8);                                                    \
                                                                               \
  a = _mm_srai_epi16(a, N + 8);                                                \
  a = _mm_slli_epi16(a, 8);                                                    \
                                                                               \
  a = _mm_or_si128(t, a);                                                      \
}

#define FLIP_SIGN_BIT2(a, b) {                                                 \
  a = _mm_xor_si128(a, sign_bit);                                              \
  b = _mm_xor_si128(b, sign_bit);                                              \
}

#define FLIP_SIGN_BIT4(a, b, c, d) {                                           \
  FLIP_SIGN_BIT2(a, b);                                                        \
  FLIP_SIGN_BIT2(c, d);                                                        \
}

#define GET_NOTHEV(p1, p0, q0, q1, hev_thresh, not_hev) {                      \
  const __m128i zero = _mm_setzero_si128();                                    \
  const __m128i t_1 = MM_ABS(p1, p0);                                          \
  const __m128i t_2 = MM_ABS(q1, q0);                                          \
                                                                               \
  const __m128i h = _mm_set1_epi8(hev_thresh);                                 \
  const __m128i t_3 = _mm_subs_epu8(t_1, h);  /* abs(p1 - p0) - hev_tresh */   \
  const __m128i t_4 = _mm_subs_epu8(t_2, h);  /* abs(q1 - q0) - hev_tresh */   \
                                                                               \
  not_hev = _mm_or_si128(t_3, t_4);                                            \
  not_hev = _mm_cmpeq_epi8(not_hev, zero); /* not_hev <= t1 && not_hev <= t2 */\
}

#define GET_BASE_DELTA(p1, p0, q0, q1, o) {                                    \
  const __m128i qp0 = _mm_subs_epi8(q0, p0);  /* q0 - p0 */                    \
  o = _mm_subs_epi8(p1, q1);            /* p1 - q1 */                          \
  o = _mm_adds_epi8(o, qp0);            /* p1 - q1 + 1 * (q0 - p0) */          \
  o = _mm_adds_epi8(o, qp0);            /* p1 - q1 + 2 * (q0 - p0) */          \
  o = _mm_adds_epi8(o, qp0);            /* p1 - q1 + 3 * (q0 - p0) */          \
}

#define DO_SIMPLE_FILTER(p0, q0, fl) {                                         \
  const __m128i three = _mm_set1_epi8(3);                                      \
  const __m128i four = _mm_set1_epi8(4);                                       \
  __m128i v3 = _mm_adds_epi8(fl, three);                                       \
  __m128i v4 = _mm_adds_epi8(fl, four);                                        \
                                                                               \
  /* Do +4 side */                                                             \
  SIGNED_SHIFT_N(v4, 3);                /* v4 >> 3  */                         \
  q0 = _mm_subs_epi8(q0, v4);           /* q0 -= v4 */                         \
                                                                               \
  /* Now do +3 side */                                                         \
  SIGNED_SHIFT_N(v3, 3);                /* v3 >> 3  */                         \
  p0 = _mm_adds_epi8(p0, v3);           /* p0 += v3 */                         \
}

// Updates values of 2 pixels at MB edge during complex filtering.
// Update operations:
// q = q - delta and p = p + delta; where delta = [(a_hi >> 7), (a_lo >> 7)]
#define UPDATE_2PIXELS(pi, qi, a_lo, a_hi) {                                   \
  const __m128i a_lo7 = _mm_srai_epi16(a_lo, 7);                               \
  const __m128i a_hi7 = _mm_srai_epi16(a_hi, 7);                               \
  const __m128i delta = _mm_packs_epi16(a_lo7, a_hi7);                         \
  pi = _mm_adds_epi8(pi, delta);                                               \
  qi = _mm_subs_epi8(qi, delta);                                               \
}

static void NeedsFilter(const __m128i* p1, const __m128i* p0, const __m128i* q0,
                        const __m128i* q1, int thresh, __m128i *mask) {
  __m128i t1 = MM_ABS(*p1, *q1);        // abs(p1 - q1)
  *mask = _mm_set1_epi8(0xFE);
  t1 = _mm_and_si128(t1, *mask);        // set lsb of each byte to zero
  t1 = _mm_srli_epi16(t1, 1);           // abs(p1 - q1) / 2

  *mask = MM_ABS(*p0, *q0);             // abs(p0 - q0)
  *mask = _mm_adds_epu8(*mask, *mask);  // abs(p0 - q0) * 2
  *mask = _mm_adds_epu8(*mask, t1);     // abs(p0 - q0) * 2 + abs(p1 - q1) / 2

  t1 = _mm_set1_epi8(thresh);
  *mask = _mm_subs_epu8(*mask, t1);     // mask <= thresh
  *mask = _mm_cmpeq_epi8(*mask, _mm_setzero_si128());
}

//------------------------------------------------------------------------------
// Edge filtering functions

// Applies filter on 2 pixels (p0 and q0)
static WEBP_INLINE void DoFilter2(const __m128i* p1, __m128i* p0, __m128i* q0,
                                  const __m128i* q1, int thresh) {
  __m128i a, mask;
  const __m128i sign_bit = _mm_set1_epi8(0x80);
  const __m128i p1s = _mm_xor_si128(*p1, sign_bit);
  const __m128i q1s = _mm_xor_si128(*q1, sign_bit);

  NeedsFilter(p1, p0, q0, q1, thresh, &mask);

  // convert to signed values
  FLIP_SIGN_BIT2(*p0, *q0);

  GET_BASE_DELTA(p1s, *p0, *q0, q1s, a);
  a = _mm_and_si128(a, mask);     // mask filter values we don't care about
  DO_SIMPLE_FILTER(*p0, *q0, a);

  // unoffset
  FLIP_SIGN_BIT2(*p0, *q0);
}

// Applies filter on 4 pixels (p1, p0, q0 and q1)
static WEBP_INLINE void DoFilter4(__m128i* p1, __m128i *p0,
                                  __m128i* q0, __m128i* q1,
                                  const __m128i* mask, int hev_thresh) {
  __m128i not_hev;
  __m128i t1, t2, t3;
  const __m128i sign_bit = _mm_set1_epi8(0x80);

  // compute hev mask
  GET_NOTHEV(*p1, *p0, *q0, *q1, hev_thresh, not_hev);

  // convert to signed values
  FLIP_SIGN_BIT4(*p1, *p0, *q0, *q1);

  t1 = _mm_subs_epi8(*p1, *q1);        // p1 - q1
  t1 = _mm_andnot_si128(not_hev, t1);  // hev(p1 - q1)
  t2 = _mm_subs_epi8(*q0, *p0);        // q0 - p0
  t1 = _mm_adds_epi8(t1, t2);          // hev(p1 - q1) + 1 * (q0 - p0)
  t1 = _mm_adds_epi8(t1, t2);          // hev(p1 - q1) + 2 * (q0 - p0)
  t1 = _mm_adds_epi8(t1, t2);          // hev(p1 - q1) + 3 * (q0 - p0)
  t1 = _mm_and_si128(t1, *mask);       // mask filter values we don't care about

  // Do +4 side
  t2 = _mm_set1_epi8(4);
  t2 = _mm_adds_epi8(t1, t2);        // 3 * (q0 - p0) + (p1 - q1) + 4
  SIGNED_SHIFT_N(t2, 3);             // (3 * (q0 - p0) + hev(p1 - q1) + 4) >> 3
  t3 = t2;                           // save t2
  *q0 = _mm_subs_epi8(*q0, t2);      // q0 -= t2

  // Now do +3 side
  t2 = _mm_set1_epi8(3);
  t2 = _mm_adds_epi8(t1, t2);        // +3 instead of +4
  SIGNED_SHIFT_N(t2, 3);             // (3 * (q0 - p0) + hev(p1 - q1) + 3) >> 3
  *p0 = _mm_adds_epi8(*p0, t2);      // p0 += t2

  t2 = _mm_set1_epi8(1);
  t3 = _mm_adds_epi8(t3, t2);
  SIGNED_SHIFT_N(t3, 1);             // (3 * (q0 - p0) + hev(p1 - q1) + 4) >> 4

  t3 = _mm_and_si128(not_hev, t3);   // if !hev
  *q1 = _mm_subs_epi8(*q1, t3);      // q1 -= t3
  *p1 = _mm_adds_epi8(*p1, t3);      // p1 += t3

  // unoffset
  FLIP_SIGN_BIT4(*p1, *p0, *q0, *q1);
}

// Applies filter on 6 pixels (p2, p1, p0, q0, q1 and q2)
static WEBP_INLINE void DoFilter6(__m128i *p2, __m128i* p1, __m128i *p0,
                                  __m128i* q0, __m128i* q1, __m128i *q2,
                                  const __m128i* mask, int hev_thresh) {
  __m128i a, not_hev;
  const __m128i sign_bit = _mm_set1_epi8(0x80);

  // compute hev mask
  GET_NOTHEV(*p1, *p0, *q0, *q1, hev_thresh, not_hev);

  // convert to signed values
  FLIP_SIGN_BIT4(*p1, *p0, *q0, *q1);
  FLIP_SIGN_BIT2(*p2, *q2);

  GET_BASE_DELTA(*p1, *p0, *q0, *q1, a);

  { // do simple filter on pixels with hev
    const __m128i m = _mm_andnot_si128(not_hev, *mask);
    const __m128i f = _mm_and_si128(a, m);
    DO_SIMPLE_FILTER(*p0, *q0, f);
  }
  { // do strong filter on pixels with not hev
    const __m128i zero = _mm_setzero_si128();
    const __m128i nine = _mm_set1_epi16(0x0900);
    const __m128i sixty_three = _mm_set1_epi16(63);

    const __m128i m = _mm_and_si128(not_hev, *mask);
    const __m128i f = _mm_and_si128(a, m);
    const __m128i f_lo = _mm_unpacklo_epi8(zero, f);
    const __m128i f_hi = _mm_unpackhi_epi8(zero, f);

    const __m128i f9_lo = _mm_mulhi_epi16(f_lo, nine);   // Filter (lo) * 9
    const __m128i f9_hi = _mm_mulhi_epi16(f_hi, nine);   // Filter (hi) * 9
    const __m128i f18_lo = _mm_add_epi16(f9_lo, f9_lo);  // Filter (lo) * 18
    const __m128i f18_hi = _mm_add_epi16(f9_hi, f9_hi);  // Filter (hi) * 18

    const __m128i a2_lo = _mm_add_epi16(f9_lo, sixty_three);  // Filter * 9 + 63
    const __m128i a2_hi = _mm_add_epi16(f9_hi, sixty_three);  // Filter * 9 + 63

    const __m128i a1_lo = _mm_add_epi16(f18_lo, sixty_three);  // F... * 18 + 63
    const __m128i a1_hi = _mm_add_epi16(f18_hi, sixty_three);  // F... * 18 + 63

    const __m128i a0_lo = _mm_add_epi16(f18_lo, a2_lo);  // Filter * 27 + 63
    const __m128i a0_hi = _mm_add_epi16(f18_hi, a2_hi);  // Filter * 27 + 63

    UPDATE_2PIXELS(*p2, *q2, a2_lo, a2_hi);
    UPDATE_2PIXELS(*p1, *q1, a1_lo, a1_hi);
    UPDATE_2PIXELS(*p0, *q0, a0_lo, a0_hi);
  }

  // unoffset
  FLIP_SIGN_BIT4(*p1, *p0, *q0, *q1);
  FLIP_SIGN_BIT2(*p2, *q2);
}

// reads 8 rows across a vertical edge.
//
// TODO(somnath): Investigate _mm_shuffle* also see if it can be broken into
// two Load4x4() to avoid code duplication.
static WEBP_INLINE void Load8x4(const uint8_t* b, int stride,
                                __m128i* p, __m128i* q) {
  __m128i t1, t2;

  // Load 0th, 1st, 4th and 5th rows
  __m128i r0 =  _mm_cvtsi32_si128(*((int*)&b[0 * stride]));  // 03 02 01 00
  __m128i r1 =  _mm_cvtsi32_si128(*((int*)&b[1 * stride]));  // 13 12 11 10
  __m128i r4 =  _mm_cvtsi32_si128(*((int*)&b[4 * stride]));  // 43 42 41 40
  __m128i r5 =  _mm_cvtsi32_si128(*((int*)&b[5 * stride]));  // 53 52 51 50

  r0 = _mm_unpacklo_epi32(r0, r4);               // 43 42 41 40 03 02 01 00
  r1 = _mm_unpacklo_epi32(r1, r5);               // 53 52 51 50 13 12 11 10

  // t1 = 53 43 52 42 51 41 50 40 13 03 12 02 11 01 10 00
  t1 = _mm_unpacklo_epi8(r0, r1);

  // Load 2nd, 3rd, 6th and 7th rows
  r0 =  _mm_cvtsi32_si128(*((int*)&b[2 * stride]));          // 23 22 21 22
  r1 =  _mm_cvtsi32_si128(*((int*)&b[3 * stride]));          // 33 32 31 30
  r4 =  _mm_cvtsi32_si128(*((int*)&b[6 * stride]));          // 63 62 61 60
  r5 =  _mm_cvtsi32_si128(*((int*)&b[7 * stride]));          // 73 72 71 70

  r0 = _mm_unpacklo_epi32(r0, r4);               // 63 62 61 60 23 22 21 20
  r1 = _mm_unpacklo_epi32(r1, r5);               // 73 72 71 70 33 32 31 30

  // t2 = 73 63 72 62 71 61 70 60 33 23 32 22 31 21 30 20
  t2 = _mm_unpacklo_epi8(r0, r1);

  // t1 = 33 23 13 03 32 22 12 02 31 21 11 01 30 20 10 00
  // t2 = 73 63 53 43 72 62 52 42 71 61 51 41 70 60 50 40
  r0 = t1;
  t1 = _mm_unpacklo_epi16(t1, t2);
  t2 = _mm_unpackhi_epi16(r0, t2);

  // *p = 71 61 51 41 31 21 11 01 70 60 50 40 30 20 10 00
  // *q = 73 63 53 43 33 23 13 03 72 62 52 42 32 22 12 02
  *p = _mm_unpacklo_epi32(t1, t2);
  *q = _mm_unpackhi_epi32(t1, t2);
}

static WEBP_INLINE void Load16x4(const uint8_t* r0, const uint8_t* r8,
                                 int stride,
                                 __m128i* p1, __m128i* p0,
                                 __m128i* q0, __m128i* q1) {
  __m128i t1, t2;
  // Assume the pixels around the edge (|) are numbered as follows
  //                00 01 | 02 03
  //                10 11 | 12 13
  //                 ...  |  ...
  //                e0 e1 | e2 e3
  //                f0 f1 | f2 f3
  //
  // r0 is pointing to the 0th row (00)
  // r8 is pointing to the 8th row (80)

  // Load
  // p1 = 71 61 51 41 31 21 11 01 70 60 50 40 30 20 10 00
  // q0 = 73 63 53 43 33 23 13 03 72 62 52 42 32 22 12 02
  // p0 = f1 e1 d1 c1 b1 a1 91 81 f0 e0 d0 c0 b0 a0 90 80
  // q1 = f3 e3 d3 c3 b3 a3 93 83 f2 e2 d2 c2 b2 a2 92 82
  Load8x4(r0, stride, p1, q0);
  Load8x4(r8, stride, p0, q1);

  t1 = *p1;
  t2 = *q0;
  // p1 = f0 e0 d0 c0 b0 a0 90 80 70 60 50 40 30 20 10 00
  // p0 = f1 e1 d1 c1 b1 a1 91 81 71 61 51 41 31 21 11 01
  // q0 = f2 e2 d2 c2 b2 a2 92 82 72 62 52 42 32 22 12 02
  // q1 = f3 e3 d3 c3 b3 a3 93 83 73 63 53 43 33 23 13 03
  *p1 = _mm_unpacklo_epi64(t1, *p0);
  *p0 = _mm_unpackhi_epi64(t1, *p0);
  *q0 = _mm_unpacklo_epi64(t2, *q1);
  *q1 = _mm_unpackhi_epi64(t2, *q1);
}

static WEBP_INLINE void Store4x4(__m128i* x, uint8_t* dst, int stride) {
  int i;
  for (i = 0; i < 4; ++i, dst += stride) {
    *((int32_t*)dst) = _mm_cvtsi128_si32(*x);
    *x = _mm_srli_si128(*x, 4);
  }
}

// Transpose back and store
static WEBP_INLINE void Store16x4(uint8_t* r0, uint8_t* r8, int stride,
                                  __m128i* p1, __m128i* p0,
                                  __m128i* q0, __m128i* q1) {
  __m128i t1;

  // p0 = 71 70 61 60 51 50 41 40 31 30 21 20 11 10 01 00
  // p1 = f1 f0 e1 e0 d1 d0 c1 c0 b1 b0 a1 a0 91 90 81 80
  t1 = *p0;
  *p0 = _mm_unpacklo_epi8(*p1, t1);
  *p1 = _mm_unpackhi_epi8(*p1, t1);

  // q0 = 73 72 63 62 53 52 43 42 33 32 23 22 13 12 03 02
  // q1 = f3 f2 e3 e2 d3 d2 c3 c2 b3 b2 a3 a2 93 92 83 82
  t1 = *q0;
  *q0 = _mm_unpacklo_epi8(t1, *q1);
  *q1 = _mm_unpackhi_epi8(t1, *q1);

  // p0 = 33 32 31 30 23 22 21 20 13 12 11 10 03 02 01 00
  // q0 = 73 72 71 70 63 62 61 60 53 52 51 50 43 42 41 40
  t1 = *p0;
  *p0 = _mm_unpacklo_epi16(t1, *q0);
  *q0 = _mm_unpackhi_epi16(t1, *q0);

  // p1 = b3 b2 b1 b0 a3 a2 a1 a0 93 92 91 90 83 82 81 80
  // q1 = f3 f2 f1 f0 e3 e2 e1 e0 d3 d2 d1 d0 c3 c2 c1 c0
  t1 = *p1;
  *p1 = _mm_unpacklo_epi16(t1, *q1);
  *q1 = _mm_unpackhi_epi16(t1, *q1);

  Store4x4(p0, r0, stride);
  r0 += 4 * stride;
  Store4x4(q0, r0, stride);

  Store4x4(p1, r8, stride);
  r8 += 4 * stride;
  Store4x4(q1, r8, stride);
}

//------------------------------------------------------------------------------
// Simple In-loop filtering (Paragraph 15.2)

static void SimpleVFilter16SSE2(uint8_t* p, int stride, int thresh) {
  // Load
  __m128i p1 = _mm_loadu_si128((__m128i*)&p[-2 * stride]);
  __m128i p0 = _mm_loadu_si128((__m128i*)&p[-stride]);
  __m128i q0 = _mm_loadu_si128((__m128i*)&p[0]);
  __m128i q1 = _mm_loadu_si128((__m128i*)&p[stride]);

  DoFilter2(&p1, &p0, &q0, &q1, thresh);

  // Store
  _mm_storeu_si128((__m128i*)&p[-stride], p0);
  _mm_storeu_si128((__m128i*)p, q0);
}

static void SimpleHFilter16SSE2(uint8_t* p, int stride, int thresh) {
  __m128i p1, p0, q0, q1;

  p -= 2;  // beginning of p1

  Load16x4(p, p + 8 * stride,  stride, &p1, &p0, &q0, &q1);
  DoFilter2(&p1, &p0, &q0, &q1, thresh);
  Store16x4(p, p + 8 * stride, stride, &p1, &p0, &q0, &q1);
}

static void SimpleVFilter16iSSE2(uint8_t* p, int stride, int thresh) {
  int k;
  for (k = 3; k > 0; --k) {
    p += 4 * stride;
    SimpleVFilter16SSE2(p, stride, thresh);
  }
}

static void SimpleHFilter16iSSE2(uint8_t* p, int stride, int thresh) {
  int k;
  for (k = 3; k > 0; --k) {
    p += 4;
    SimpleHFilter16SSE2(p, stride, thresh);
  }
}

//------------------------------------------------------------------------------
// Complex In-loop filtering (Paragraph 15.3)

#define MAX_DIFF1(p3, p2, p1, p0, m) {                                         \
  m = MM_ABS(p3, p2);                                                          \
  m = _mm_max_epu8(m, MM_ABS(p2, p1));                                         \
  m = _mm_max_epu8(m, MM_ABS(p1, p0));                                         \
}

#define MAX_DIFF2(p3, p2, p1, p0, m) {                                         \
  m = _mm_max_epu8(m, MM_ABS(p3, p2));                                         \
  m = _mm_max_epu8(m, MM_ABS(p2, p1));                                         \
  m = _mm_max_epu8(m, MM_ABS(p1, p0));                                         \
}

#define LOAD_H_EDGES4(p, stride, e1, e2, e3, e4) {                             \
  e1 = _mm_loadu_si128((__m128i*)&(p)[0 * stride]);                            \
  e2 = _mm_loadu_si128((__m128i*)&(p)[1 * stride]);                            \
  e3 = _mm_loadu_si128((__m128i*)&(p)[2 * stride]);                            \
  e4 = _mm_loadu_si128((__m128i*)&(p)[3 * stride]);                            \
}

#define LOADUV_H_EDGE(p, u, v, stride) {                                       \
  p = _mm_loadl_epi64((__m128i*)&(u)[(stride)]);                               \
  p = _mm_unpacklo_epi64(p, _mm_loadl_epi64((__m128i*)&(v)[(stride)]));        \
}

#define LOADUV_H_EDGES4(u, v, stride, e1, e2, e3, e4) {                        \
  LOADUV_H_EDGE(e1, u, v, 0 * stride);                                         \
  LOADUV_H_EDGE(e2, u, v, 1 * stride);                                         \
  LOADUV_H_EDGE(e3, u, v, 2 * stride);                                         \
  LOADUV_H_EDGE(e4, u, v, 3 * stride);                                         \
}

#define STOREUV(p, u, v, stride) {                                             \
  _mm_storel_epi64((__m128i*)&u[(stride)], p);                                 \
  p = _mm_srli_si128(p, 8);                                                    \
  _mm_storel_epi64((__m128i*)&v[(stride)], p);                                 \
}

#define COMPLEX_FL_MASK(p1, p0, q0, q1, thresh, ithresh, mask) {               \
  __m128i fl_yes;                                                              \
  const __m128i it = _mm_set1_epi8(ithresh);                                   \
  mask = _mm_subs_epu8(mask, it);                                              \
  mask = _mm_cmpeq_epi8(mask, _mm_setzero_si128());                            \
  NeedsFilter(&p1, &p0, &q0, &q1, thresh, &fl_yes);                            \
  mask = _mm_and_si128(mask, fl_yes);                                          \
}

// on macroblock edges
static void VFilter16SSE2(uint8_t* p, int stride,
                          int thresh, int ithresh, int hev_thresh) {
  __m128i t1;
  __m128i mask;
  __m128i p2, p1, p0, q0, q1, q2;

  // Load p3, p2, p1, p0
  LOAD_H_EDGES4(p - 4 * stride, stride, t1, p2, p1, p0);
  MAX_DIFF1(t1, p2, p1, p0, mask);

  // Load q0, q1, q2, q3
  LOAD_H_EDGES4(p, stride, q0, q1, q2, t1);
  MAX_DIFF2(t1, q2, q1, q0, mask);

  COMPLEX_FL_MASK(p1, p0, q0, q1, thresh, ithresh, mask);
  DoFilter6(&p2, &p1, &p0, &q0, &q1, &q2, &mask, hev_thresh);

  // Store
  _mm_storeu_si128((__m128i*)&p[-3 * stride], p2);
  _mm_storeu_si128((__m128i*)&p[-2 * stride], p1);
  _mm_storeu_si128((__m128i*)&p[-1 * stride], p0);
  _mm_storeu_si128((__m128i*)&p[0 * stride], q0);
  _mm_storeu_si128((__m128i*)&p[1 * stride], q1);
  _mm_storeu_si128((__m128i*)&p[2 * stride], q2);
}

static void HFilter16SSE2(uint8_t* p, int stride,
                          int thresh, int ithresh, int hev_thresh) {
  __m128i mask;
  __m128i p3, p2, p1, p0, q0, q1, q2, q3;

  uint8_t* const b = p - 4;
  Load16x4(b, b + 8 * stride, stride, &p3, &p2, &p1, &p0);  // p3, p2, p1, p0
  MAX_DIFF1(p3, p2, p1, p0, mask);

  Load16x4(p, p + 8 * stride, stride, &q0, &q1, &q2, &q3);  // q0, q1, q2, q3
  MAX_DIFF2(q3, q2, q1, q0, mask);

  COMPLEX_FL_MASK(p1, p0, q0, q1, thresh, ithresh, mask);
  DoFilter6(&p2, &p1, &p0, &q0, &q1, &q2, &mask, hev_thresh);

  Store16x4(b, b + 8 * stride, stride, &p3, &p2, &p1, &p0);
  Store16x4(p, p + 8 * stride, stride, &q0, &q1, &q2, &q3);
}

// on three inner edges
static void VFilter16iSSE2(uint8_t* p, int stride,
                           int thresh, int ithresh, int hev_thresh) {
  int k;
  __m128i mask;
  __m128i t1, t2, p1, p0, q0, q1;

  for (k = 3; k > 0; --k) {
    // Load p3, p2, p1, p0
    LOAD_H_EDGES4(p, stride, t2, t1, p1, p0);
    MAX_DIFF1(t2, t1, p1, p0, mask);

    p += 4 * stride;

    // Load q0, q1, q2, q3
    LOAD_H_EDGES4(p, stride, q0, q1, t1, t2);
    MAX_DIFF2(t2, t1, q1, q0, mask);

    COMPLEX_FL_MASK(p1, p0, q0, q1, thresh, ithresh, mask);
    DoFilter4(&p1, &p0, &q0, &q1, &mask, hev_thresh);

    // Store
    _mm_storeu_si128((__m128i*)&p[-2 * stride], p1);
    _mm_storeu_si128((__m128i*)&p[-1 * stride], p0);
    _mm_storeu_si128((__m128i*)&p[0 * stride], q0);
    _mm_storeu_si128((__m128i*)&p[1 * stride], q1);
  }
}

static void HFilter16iSSE2(uint8_t* p, int stride,
                           int thresh, int ithresh, int hev_thresh) {
  int k;
  uint8_t* b;
  __m128i mask;
  __m128i t1, t2, p1, p0, q0, q1;

  for (k = 3; k > 0; --k) {
    b = p;
    Load16x4(b, b + 8 * stride, stride, &t2, &t1, &p1, &p0);  // p3, p2, p1, p0
    MAX_DIFF1(t2, t1, p1, p0, mask);

    b += 4;  // beginning of q0
    Load16x4(b, b + 8 * stride, stride, &q0, &q1, &t1, &t2);  // q0, q1, q2, q3
    MAX_DIFF2(t2, t1, q1, q0, mask);

    COMPLEX_FL_MASK(p1, p0, q0, q1, thresh, ithresh, mask);
    DoFilter4(&p1, &p0, &q0, &q1, &mask, hev_thresh);

    b -= 2;  // beginning of p1
    Store16x4(b, b + 8 * stride, stride, &p1, &p0, &q0, &q1);

    p += 4;
  }
}

// 8-pixels wide variant, for chroma filtering
static void VFilter8SSE2(uint8_t* u, uint8_t* v, int stride,
                         int thresh, int ithresh, int hev_thresh) {
  __m128i mask;
  __m128i t1, p2, p1, p0, q0, q1, q2;

  // Load p3, p2, p1, p0
  LOADUV_H_EDGES4(u - 4 * stride, v - 4 * stride, stride, t1, p2, p1, p0);
  MAX_DIFF1(t1, p2, p1, p0, mask);

  // Load q0, q1, q2, q3
  LOADUV_H_EDGES4(u, v, stride, q0, q1, q2, t1);
  MAX_DIFF2(t1, q2, q1, q0, mask);

  COMPLEX_FL_MASK(p1, p0, q0, q1, thresh, ithresh, mask);
  DoFilter6(&p2, &p1, &p0, &q0, &q1, &q2, &mask, hev_thresh);

  // Store
  STOREUV(p2, u, v, -3 * stride);
  STOREUV(p1, u, v, -2 * stride);
  STOREUV(p0, u, v, -1 * stride);
  STOREUV(q0, u, v, 0 * stride);
  STOREUV(q1, u, v, 1 * stride);
  STOREUV(q2, u, v, 2 * stride);
}

static void HFilter8SSE2(uint8_t* u, uint8_t* v, int stride,
                         int thresh, int ithresh, int hev_thresh) {
  __m128i mask;
  __m128i p3, p2, p1, p0, q0, q1, q2, q3;

  uint8_t* const tu = u - 4;
  uint8_t* const tv = v - 4;
  Load16x4(tu, tv, stride, &p3, &p2, &p1, &p0);  // p3, p2, p1, p0
  MAX_DIFF1(p3, p2, p1, p0, mask);

  Load16x4(u, v, stride, &q0, &q1, &q2, &q3);    // q0, q1, q2, q3
  MAX_DIFF2(q3, q2, q1, q0, mask);

  COMPLEX_FL_MASK(p1, p0, q0, q1, thresh, ithresh, mask);
  DoFilter6(&p2, &p1, &p0, &q0, &q1, &q2, &mask, hev_thresh);

  Store16x4(tu, tv, stride, &p3, &p2, &p1, &p0);
  Store16x4(u, v, stride, &q0, &q1, &q2, &q3);
}

static void VFilter8iSSE2(uint8_t* u, uint8_t* v, int stride,
                          int thresh, int ithresh, int hev_thresh) {
  __m128i mask;
  __m128i t1, t2, p1, p0, q0, q1;

  // Load p3, p2, p1, p0
  LOADUV_H_EDGES4(u, v, stride, t2, t1, p1, p0);
  MAX_DIFF1(t2, t1, p1, p0, mask);

  u += 4 * stride;
  v += 4 * stride;

  // Load q0, q1, q2, q3
  LOADUV_H_EDGES4(u, v, stride, q0, q1, t1, t2);
  MAX_DIFF2(t2, t1, q1, q0, mask);

  COMPLEX_FL_MASK(p1, p0, q0, q1, thresh, ithresh, mask);
  DoFilter4(&p1, &p0, &q0, &q1, &mask, hev_thresh);

  // Store
  STOREUV(p1, u, v, -2 * stride);
  STOREUV(p0, u, v, -1 * stride);
  STOREUV(q0, u, v, 0 * stride);
  STOREUV(q1, u, v, 1 * stride);
}

static void HFilter8iSSE2(uint8_t* u, uint8_t* v, int stride,
                          int thresh, int ithresh, int hev_thresh) {
  __m128i mask;
  __m128i t1, t2, p1, p0, q0, q1;
  Load16x4(u, v, stride, &t2, &t1, &p1, &p0);   // p3, p2, p1, p0
  MAX_DIFF1(t2, t1, p1, p0, mask);

  u += 4;  // beginning of q0
  v += 4;
  Load16x4(u, v, stride, &q0, &q1, &t1, &t2);  // q0, q1, q2, q3
  MAX_DIFF2(t2, t1, q1, q0, mask);

  COMPLEX_FL_MASK(p1, p0, q0, q1, thresh, ithresh, mask);
  DoFilter4(&p1, &p0, &q0, &q1, &mask, hev_thresh);

  u -= 2;  // beginning of p1
  v -= 2;
  Store16x4(u, v, stride, &p1, &p0, &q0, &q1);
}

#endif   // WEBP_USE_SSE2

//------------------------------------------------------------------------------
// Entry point

extern void VP8DspInitSSE2(void);

void VP8DspInitSSE2(void) {
#if defined(WEBP_USE_SSE2)
  VP8Transform = TransformSSE2;

  VP8VFilter16 = VFilter16SSE2;
  VP8HFilter16 = HFilter16SSE2;
  VP8VFilter8 = VFilter8SSE2;
  VP8HFilter8 = HFilter8SSE2;
  VP8VFilter16i = VFilter16iSSE2;
  VP8HFilter16i = HFilter16iSSE2;
  VP8VFilter8i = VFilter8iSSE2;
  VP8HFilter8i = HFilter8iSSE2;

  VP8SimpleVFilter16 = SimpleVFilter16SSE2;
  VP8SimpleHFilter16 = SimpleHFilter16SSE2;
  VP8SimpleVFilter16i = SimpleVFilter16iSSE2;
  VP8SimpleHFilter16i = SimpleHFilter16iSSE2;
#endif   // WEBP_USE_SSE2
}

#if defined(__cplusplus) || defined(c_plusplus)
}    // extern "C"
#endif