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      1 /*
      2  *  Copyright (c) 2012 The WebM project authors. All Rights Reserved.
      3  *
      4  *  Use of this source code is governed by a BSD-style license
      5  *  that can be found in the LICENSE file in the root of the source
      6  *  tree. An additional intellectual property rights grant can be found
      7  *  in the file PATENTS.  All contributing project authors may
      8  *  be found in the AUTHORS file in the root of the source tree.
      9  */
     10 
     11 #include <immintrin.h>  // AVX2
     12 #include "vp9/common/vp9_idct.h"  // for cospi constants
     13 #include "vpx_ports/mem.h"
     14 
     15 void vp9_fdct4x4_avx2(const int16_t *input, int16_t *output, int stride) {
     16   // The 2D transform is done with two passes which are actually pretty
     17   // similar. In the first one, we transform the columns and transpose
     18   // the results. In the second one, we transform the rows. To achieve that,
     19   // as the first pass results are transposed, we transpose the columns (that
     20   // is the transposed rows) and transpose the results (so that it goes back
     21   // in normal/row positions).
     22   int pass;
     23   // Constants
     24   //    When we use them, in one case, they are all the same. In all others
     25   //    it's a pair of them that we need to repeat four times. This is done
     26   //    by constructing the 32 bit constant corresponding to that pair.
     27   const __m128i k__cospi_p16_p16 = _mm_set1_epi16(cospi_16_64);
     28   const __m128i k__cospi_p16_m16 = pair_set_epi16(cospi_16_64, -cospi_16_64);
     29   const __m128i k__cospi_p24_p08 = pair_set_epi16(cospi_24_64, cospi_8_64);
     30   const __m128i k__cospi_m08_p24 = pair_set_epi16(-cospi_8_64, cospi_24_64);
     31   const __m128i k__DCT_CONST_ROUNDING = _mm_set1_epi32(DCT_CONST_ROUNDING);
     32   const __m128i k__nonzero_bias_a = _mm_setr_epi16(0, 1, 1, 1, 1, 1, 1, 1);
     33   const __m128i k__nonzero_bias_b = _mm_setr_epi16(1, 0, 0, 0, 0, 0, 0, 0);
     34   const __m128i kOne = _mm_set1_epi16(1);
     35   __m128i in0, in1, in2, in3;
     36   // Load inputs.
     37   {
     38     in0  = _mm_loadl_epi64((const __m128i *)(input +  0 * stride));
     39     in1  = _mm_loadl_epi64((const __m128i *)(input +  1 * stride));
     40     in2  = _mm_loadl_epi64((const __m128i *)(input +  2 * stride));
     41     in3  = _mm_loadl_epi64((const __m128i *)(input +  3 * stride));
     42     // x = x << 4
     43     in0 = _mm_slli_epi16(in0, 4);
     44     in1 = _mm_slli_epi16(in1, 4);
     45     in2 = _mm_slli_epi16(in2, 4);
     46     in3 = _mm_slli_epi16(in3, 4);
     47     // if (i == 0 && input[0]) input[0] += 1;
     48     {
     49       // The mask will only contain whether the first value is zero, all
     50       // other comparison will fail as something shifted by 4 (above << 4)
     51       // can never be equal to one. To increment in the non-zero case, we
     52       // add the mask and one for the first element:
     53       //   - if zero, mask = -1, v = v - 1 + 1 = v
     54       //   - if non-zero, mask = 0, v = v + 0 + 1 = v + 1
     55       __m128i mask = _mm_cmpeq_epi16(in0, k__nonzero_bias_a);
     56       in0 = _mm_add_epi16(in0, mask);
     57       in0 = _mm_add_epi16(in0, k__nonzero_bias_b);
     58     }
     59   }
     60   // Do the two transform/transpose passes
     61   for (pass = 0; pass < 2; ++pass) {
     62     // Transform 1/2: Add/subtract
     63     const __m128i r0 = _mm_add_epi16(in0, in3);
     64     const __m128i r1 = _mm_add_epi16(in1, in2);
     65     const __m128i r2 = _mm_sub_epi16(in1, in2);
     66     const __m128i r3 = _mm_sub_epi16(in0, in3);
     67     // Transform 1/2: Interleave to do the multiply by constants which gets us
     68     //                into 32 bits.
     69     const __m128i t0 = _mm_unpacklo_epi16(r0, r1);
     70     const __m128i t2 = _mm_unpacklo_epi16(r2, r3);
     71     const __m128i u0 = _mm_madd_epi16(t0, k__cospi_p16_p16);
     72     const __m128i u2 = _mm_madd_epi16(t0, k__cospi_p16_m16);
     73     const __m128i u4 = _mm_madd_epi16(t2, k__cospi_p24_p08);
     74     const __m128i u6 = _mm_madd_epi16(t2, k__cospi_m08_p24);
     75     const __m128i v0 = _mm_add_epi32(u0, k__DCT_CONST_ROUNDING);
     76     const __m128i v2 = _mm_add_epi32(u2, k__DCT_CONST_ROUNDING);
     77     const __m128i v4 = _mm_add_epi32(u4, k__DCT_CONST_ROUNDING);
     78     const __m128i v6 = _mm_add_epi32(u6, k__DCT_CONST_ROUNDING);
     79     const __m128i w0 = _mm_srai_epi32(v0, DCT_CONST_BITS);
     80     const __m128i w2 = _mm_srai_epi32(v2, DCT_CONST_BITS);
     81     const __m128i w4 = _mm_srai_epi32(v4, DCT_CONST_BITS);
     82     const __m128i w6 = _mm_srai_epi32(v6, DCT_CONST_BITS);
     83     // Combine and transpose
     84     const __m128i res0 = _mm_packs_epi32(w0, w2);
     85     const __m128i res1 = _mm_packs_epi32(w4, w6);
     86     // 00 01 02 03 20 21 22 23
     87     // 10 11 12 13 30 31 32 33
     88     const __m128i tr0_0 = _mm_unpacklo_epi16(res0, res1);
     89     const __m128i tr0_1 = _mm_unpackhi_epi16(res0, res1);
     90     // 00 10 01 11 02 12 03 13
     91     // 20 30 21 31 22 32 23 33
     92     in0 = _mm_unpacklo_epi32(tr0_0, tr0_1);
     93     in2 = _mm_unpackhi_epi32(tr0_0, tr0_1);
     94     // 00 10 20 30 01 11 21 31      in0 contains 0 followed by 1
     95     // 02 12 22 32 03 13 23 33      in2 contains 2 followed by 3
     96     if (0 == pass) {
     97       // Extract values in the high part for second pass as transform code
     98       // only uses the first four values.
     99       in1 = _mm_unpackhi_epi64(in0, in0);
    100       in3 = _mm_unpackhi_epi64(in2, in2);
    101     } else {
    102       // Post-condition output and store it (v + 1) >> 2, taking advantage
    103       // of the fact 1/3 are stored just after 0/2.
    104       __m128i out01 = _mm_add_epi16(in0, kOne);
    105       __m128i out23 = _mm_add_epi16(in2, kOne);
    106       out01 = _mm_srai_epi16(out01, 2);
    107       out23 = _mm_srai_epi16(out23, 2);
    108       _mm_storeu_si128((__m128i *)(output + 0 * 4), out01);
    109       _mm_storeu_si128((__m128i *)(output + 2 * 4), out23);
    110     }
    111   }
    112 }
    113 
    114 static INLINE void load_buffer_4x4_avx2(const int16_t *input, __m128i *in,
    115                                    int stride) {
    116   const __m128i k__nonzero_bias_a = _mm_setr_epi16(0, 1, 1, 1, 1, 1, 1, 1);
    117   const __m128i k__nonzero_bias_b = _mm_setr_epi16(1, 0, 0, 0, 0, 0, 0, 0);
    118   __m128i mask;
    119 
    120   in[0] = _mm_loadl_epi64((const __m128i *)(input + 0 * stride));
    121   in[1] = _mm_loadl_epi64((const __m128i *)(input + 1 * stride));
    122   in[2] = _mm_loadl_epi64((const __m128i *)(input + 2 * stride));
    123   in[3] = _mm_loadl_epi64((const __m128i *)(input + 3 * stride));
    124 
    125   in[0] = _mm_slli_epi16(in[0], 4);
    126   in[1] = _mm_slli_epi16(in[1], 4);
    127   in[2] = _mm_slli_epi16(in[2], 4);
    128   in[3] = _mm_slli_epi16(in[3], 4);
    129 
    130   mask = _mm_cmpeq_epi16(in[0], k__nonzero_bias_a);
    131   in[0] = _mm_add_epi16(in[0], mask);
    132   in[0] = _mm_add_epi16(in[0], k__nonzero_bias_b);
    133 }
    134 
    135 static INLINE void write_buffer_4x4_avx2(int16_t *output, __m128i *res) {
    136   const __m128i kOne = _mm_set1_epi16(1);
    137   __m128i in01 = _mm_unpacklo_epi64(res[0], res[1]);
    138   __m128i in23 = _mm_unpacklo_epi64(res[2], res[3]);
    139   __m128i out01 = _mm_add_epi16(in01, kOne);
    140   __m128i out23 = _mm_add_epi16(in23, kOne);
    141   out01 = _mm_srai_epi16(out01, 2);
    142   out23 = _mm_srai_epi16(out23, 2);
    143   _mm_store_si128((__m128i *)(output + 0 * 8), out01);
    144   _mm_store_si128((__m128i *)(output + 1 * 8), out23);
    145 }
    146 
    147 static INLINE void transpose_4x4_avx2(__m128i *res) {
    148   // Combine and transpose
    149   // 00 01 02 03 20 21 22 23
    150   // 10 11 12 13 30 31 32 33
    151   const __m128i tr0_0 = _mm_unpacklo_epi16(res[0], res[1]);
    152   const __m128i tr0_1 = _mm_unpackhi_epi16(res[0], res[1]);
    153 
    154   // 00 10 01 11 02 12 03 13
    155   // 20 30 21 31 22 32 23 33
    156   res[0] = _mm_unpacklo_epi32(tr0_0, tr0_1);
    157   res[2] = _mm_unpackhi_epi32(tr0_0, tr0_1);
    158 
    159   // 00 10 20 30 01 11 21 31
    160   // 02 12 22 32 03 13 23 33
    161   // only use the first 4 16-bit integers
    162   res[1] = _mm_unpackhi_epi64(res[0], res[0]);
    163   res[3] = _mm_unpackhi_epi64(res[2], res[2]);
    164 }
    165 
    166 void fdct4_avx2(__m128i *in) {
    167   const __m128i k__cospi_p16_p16 = _mm_set1_epi16(cospi_16_64);
    168   const __m128i k__cospi_p16_m16 = pair_set_epi16(cospi_16_64, -cospi_16_64);
    169   const __m128i k__cospi_p08_p24 = pair_set_epi16(cospi_8_64, cospi_24_64);
    170   const __m128i k__cospi_p24_m08 = pair_set_epi16(cospi_24_64, -cospi_8_64);
    171   const __m128i k__DCT_CONST_ROUNDING = _mm_set1_epi32(DCT_CONST_ROUNDING);
    172 
    173   __m128i u[4], v[4];
    174   u[0]=_mm_unpacklo_epi16(in[0], in[1]);
    175   u[1]=_mm_unpacklo_epi16(in[3], in[2]);
    176 
    177   v[0] = _mm_add_epi16(u[0], u[1]);
    178   v[1] = _mm_sub_epi16(u[0], u[1]);
    179 
    180   u[0] = _mm_madd_epi16(v[0], k__cospi_p16_p16);  // 0
    181   u[1] = _mm_madd_epi16(v[0], k__cospi_p16_m16);  // 2
    182   u[2] = _mm_madd_epi16(v[1], k__cospi_p08_p24);  // 1
    183   u[3] = _mm_madd_epi16(v[1], k__cospi_p24_m08);  // 3
    184 
    185   v[0] = _mm_add_epi32(u[0], k__DCT_CONST_ROUNDING);
    186   v[1] = _mm_add_epi32(u[1], k__DCT_CONST_ROUNDING);
    187   v[2] = _mm_add_epi32(u[2], k__DCT_CONST_ROUNDING);
    188   v[3] = _mm_add_epi32(u[3], k__DCT_CONST_ROUNDING);
    189   u[0] = _mm_srai_epi32(v[0], DCT_CONST_BITS);
    190   u[1] = _mm_srai_epi32(v[1], DCT_CONST_BITS);
    191   u[2] = _mm_srai_epi32(v[2], DCT_CONST_BITS);
    192   u[3] = _mm_srai_epi32(v[3], DCT_CONST_BITS);
    193 
    194   in[0] = _mm_packs_epi32(u[0], u[1]);
    195   in[1] = _mm_packs_epi32(u[2], u[3]);
    196   transpose_4x4_avx2(in);
    197 }
    198 
    199 void fadst4_avx2(__m128i *in) {
    200   const __m128i k__sinpi_p01_p02 = pair_set_epi16(sinpi_1_9, sinpi_2_9);
    201   const __m128i k__sinpi_p04_m01 = pair_set_epi16(sinpi_4_9, -sinpi_1_9);
    202   const __m128i k__sinpi_p03_p04 = pair_set_epi16(sinpi_3_9, sinpi_4_9);
    203   const __m128i k__sinpi_m03_p02 = pair_set_epi16(-sinpi_3_9, sinpi_2_9);
    204   const __m128i k__sinpi_p03_p03 = _mm_set1_epi16(sinpi_3_9);
    205   const __m128i kZero = _mm_set1_epi16(0);
    206   const __m128i k__DCT_CONST_ROUNDING = _mm_set1_epi32(DCT_CONST_ROUNDING);
    207   __m128i u[8], v[8];
    208   __m128i in7 = _mm_add_epi16(in[0], in[1]);
    209 
    210   u[0] = _mm_unpacklo_epi16(in[0], in[1]);
    211   u[1] = _mm_unpacklo_epi16(in[2], in[3]);
    212   u[2] = _mm_unpacklo_epi16(in7, kZero);
    213   u[3] = _mm_unpacklo_epi16(in[2], kZero);
    214   u[4] = _mm_unpacklo_epi16(in[3], kZero);
    215 
    216   v[0] = _mm_madd_epi16(u[0], k__sinpi_p01_p02);  // s0 + s2
    217   v[1] = _mm_madd_epi16(u[1], k__sinpi_p03_p04);  // s4 + s5
    218   v[2] = _mm_madd_epi16(u[2], k__sinpi_p03_p03);  // x1
    219   v[3] = _mm_madd_epi16(u[0], k__sinpi_p04_m01);  // s1 - s3
    220   v[4] = _mm_madd_epi16(u[1], k__sinpi_m03_p02);  // -s4 + s6
    221   v[5] = _mm_madd_epi16(u[3], k__sinpi_p03_p03);  // s4
    222   v[6] = _mm_madd_epi16(u[4], k__sinpi_p03_p03);
    223 
    224   u[0] = _mm_add_epi32(v[0], v[1]);
    225   u[1] = _mm_sub_epi32(v[2], v[6]);
    226   u[2] = _mm_add_epi32(v[3], v[4]);
    227   u[3] = _mm_sub_epi32(u[2], u[0]);
    228   u[4] = _mm_slli_epi32(v[5], 2);
    229   u[5] = _mm_sub_epi32(u[4], v[5]);
    230   u[6] = _mm_add_epi32(u[3], u[5]);
    231 
    232   v[0] = _mm_add_epi32(u[0], k__DCT_CONST_ROUNDING);
    233   v[1] = _mm_add_epi32(u[1], k__DCT_CONST_ROUNDING);
    234   v[2] = _mm_add_epi32(u[2], k__DCT_CONST_ROUNDING);
    235   v[3] = _mm_add_epi32(u[6], k__DCT_CONST_ROUNDING);
    236 
    237   u[0] = _mm_srai_epi32(v[0], DCT_CONST_BITS);
    238   u[1] = _mm_srai_epi32(v[1], DCT_CONST_BITS);
    239   u[2] = _mm_srai_epi32(v[2], DCT_CONST_BITS);
    240   u[3] = _mm_srai_epi32(v[3], DCT_CONST_BITS);
    241 
    242   in[0] = _mm_packs_epi32(u[0], u[2]);
    243   in[1] = _mm_packs_epi32(u[1], u[3]);
    244   transpose_4x4_avx2(in);
    245 }
    246 
    247 void vp9_fht4x4_avx2(const int16_t *input, int16_t *output,
    248                      int stride, int tx_type) {
    249   __m128i in[4];
    250 
    251   switch (tx_type) {
    252     case DCT_DCT:
    253       vp9_fdct4x4_avx2(input, output, stride);
    254       break;
    255     case ADST_DCT:
    256       load_buffer_4x4_avx2(input, in, stride);
    257       fadst4_avx2(in);
    258       fdct4_avx2(in);
    259       write_buffer_4x4_avx2(output, in);
    260       break;
    261     case DCT_ADST:
    262       load_buffer_4x4_avx2(input, in, stride);
    263       fdct4_avx2(in);
    264       fadst4_avx2(in);
    265       write_buffer_4x4_avx2(output, in);
    266       break;
    267     case ADST_ADST:
    268       load_buffer_4x4_avx2(input, in, stride);
    269       fadst4_avx2(in);
    270       fadst4_avx2(in);
    271       write_buffer_4x4_avx2(output, in);
    272       break;
    273     default:
    274       assert(0);
    275       break;
    276   }
    277 }
    278 
    279 void vp9_fdct8x8_avx2(const int16_t *input, int16_t *output, int stride) {
    280   int pass;
    281   // Constants
    282   //    When we use them, in one case, they are all the same. In all others
    283   //    it's a pair of them that we need to repeat four times. This is done
    284   //    by constructing the 32 bit constant corresponding to that pair.
    285   const __m128i k__cospi_p16_p16 = _mm_set1_epi16(cospi_16_64);
    286   const __m128i k__cospi_p16_m16 = pair_set_epi16(cospi_16_64, -cospi_16_64);
    287   const __m128i k__cospi_p24_p08 = pair_set_epi16(cospi_24_64, cospi_8_64);
    288   const __m128i k__cospi_m08_p24 = pair_set_epi16(-cospi_8_64, cospi_24_64);
    289   const __m128i k__cospi_p28_p04 = pair_set_epi16(cospi_28_64, cospi_4_64);
    290   const __m128i k__cospi_m04_p28 = pair_set_epi16(-cospi_4_64, cospi_28_64);
    291   const __m128i k__cospi_p12_p20 = pair_set_epi16(cospi_12_64, cospi_20_64);
    292   const __m128i k__cospi_m20_p12 = pair_set_epi16(-cospi_20_64, cospi_12_64);
    293   const __m128i k__DCT_CONST_ROUNDING = _mm_set1_epi32(DCT_CONST_ROUNDING);
    294   // Load input
    295   __m128i in0  = _mm_load_si128((const __m128i *)(input + 0 * stride));
    296   __m128i in1  = _mm_load_si128((const __m128i *)(input + 1 * stride));
    297   __m128i in2  = _mm_load_si128((const __m128i *)(input + 2 * stride));
    298   __m128i in3  = _mm_load_si128((const __m128i *)(input + 3 * stride));
    299   __m128i in4  = _mm_load_si128((const __m128i *)(input + 4 * stride));
    300   __m128i in5  = _mm_load_si128((const __m128i *)(input + 5 * stride));
    301   __m128i in6  = _mm_load_si128((const __m128i *)(input + 6 * stride));
    302   __m128i in7  = _mm_load_si128((const __m128i *)(input + 7 * stride));
    303   // Pre-condition input (shift by two)
    304   in0 = _mm_slli_epi16(in0, 2);
    305   in1 = _mm_slli_epi16(in1, 2);
    306   in2 = _mm_slli_epi16(in2, 2);
    307   in3 = _mm_slli_epi16(in3, 2);
    308   in4 = _mm_slli_epi16(in4, 2);
    309   in5 = _mm_slli_epi16(in5, 2);
    310   in6 = _mm_slli_epi16(in6, 2);
    311   in7 = _mm_slli_epi16(in7, 2);
    312 
    313   // We do two passes, first the columns, then the rows. The results of the
    314   // first pass are transposed so that the same column code can be reused. The
    315   // results of the second pass are also transposed so that the rows (processed
    316   // as columns) are put back in row positions.
    317   for (pass = 0; pass < 2; pass++) {
    318     // To store results of each pass before the transpose.
    319     __m128i res0, res1, res2, res3, res4, res5, res6, res7;
    320     // Add/subtract
    321     const __m128i q0 = _mm_add_epi16(in0, in7);
    322     const __m128i q1 = _mm_add_epi16(in1, in6);
    323     const __m128i q2 = _mm_add_epi16(in2, in5);
    324     const __m128i q3 = _mm_add_epi16(in3, in4);
    325     const __m128i q4 = _mm_sub_epi16(in3, in4);
    326     const __m128i q5 = _mm_sub_epi16(in2, in5);
    327     const __m128i q6 = _mm_sub_epi16(in1, in6);
    328     const __m128i q7 = _mm_sub_epi16(in0, in7);
    329     // Work on first four results
    330     {
    331       // Add/subtract
    332       const __m128i r0 = _mm_add_epi16(q0, q3);
    333       const __m128i r1 = _mm_add_epi16(q1, q2);
    334       const __m128i r2 = _mm_sub_epi16(q1, q2);
    335       const __m128i r3 = _mm_sub_epi16(q0, q3);
    336       // Interleave to do the multiply by constants which gets us into 32bits
    337       const __m128i t0 = _mm_unpacklo_epi16(r0, r1);
    338       const __m128i t1 = _mm_unpackhi_epi16(r0, r1);
    339       const __m128i t2 = _mm_unpacklo_epi16(r2, r3);
    340       const __m128i t3 = _mm_unpackhi_epi16(r2, r3);
    341       const __m128i u0 = _mm_madd_epi16(t0, k__cospi_p16_p16);
    342       const __m128i u1 = _mm_madd_epi16(t1, k__cospi_p16_p16);
    343       const __m128i u2 = _mm_madd_epi16(t0, k__cospi_p16_m16);
    344       const __m128i u3 = _mm_madd_epi16(t1, k__cospi_p16_m16);
    345       const __m128i u4 = _mm_madd_epi16(t2, k__cospi_p24_p08);
    346       const __m128i u5 = _mm_madd_epi16(t3, k__cospi_p24_p08);
    347       const __m128i u6 = _mm_madd_epi16(t2, k__cospi_m08_p24);
    348       const __m128i u7 = _mm_madd_epi16(t3, k__cospi_m08_p24);
    349       // dct_const_round_shift
    350       const __m128i v0 = _mm_add_epi32(u0, k__DCT_CONST_ROUNDING);
    351       const __m128i v1 = _mm_add_epi32(u1, k__DCT_CONST_ROUNDING);
    352       const __m128i v2 = _mm_add_epi32(u2, k__DCT_CONST_ROUNDING);
    353       const __m128i v3 = _mm_add_epi32(u3, k__DCT_CONST_ROUNDING);
    354       const __m128i v4 = _mm_add_epi32(u4, k__DCT_CONST_ROUNDING);
    355       const __m128i v5 = _mm_add_epi32(u5, k__DCT_CONST_ROUNDING);
    356       const __m128i v6 = _mm_add_epi32(u6, k__DCT_CONST_ROUNDING);
    357       const __m128i v7 = _mm_add_epi32(u7, k__DCT_CONST_ROUNDING);
    358       const __m128i w0 = _mm_srai_epi32(v0, DCT_CONST_BITS);
    359       const __m128i w1 = _mm_srai_epi32(v1, DCT_CONST_BITS);
    360       const __m128i w2 = _mm_srai_epi32(v2, DCT_CONST_BITS);
    361       const __m128i w3 = _mm_srai_epi32(v3, DCT_CONST_BITS);
    362       const __m128i w4 = _mm_srai_epi32(v4, DCT_CONST_BITS);
    363       const __m128i w5 = _mm_srai_epi32(v5, DCT_CONST_BITS);
    364       const __m128i w6 = _mm_srai_epi32(v6, DCT_CONST_BITS);
    365       const __m128i w7 = _mm_srai_epi32(v7, DCT_CONST_BITS);
    366       // Combine
    367       res0 = _mm_packs_epi32(w0, w1);
    368       res4 = _mm_packs_epi32(w2, w3);
    369       res2 = _mm_packs_epi32(w4, w5);
    370       res6 = _mm_packs_epi32(w6, w7);
    371     }
    372     // Work on next four results
    373     {
    374       // Interleave to do the multiply by constants which gets us into 32bits
    375       const __m128i d0 = _mm_unpacklo_epi16(q6, q5);
    376       const __m128i d1 = _mm_unpackhi_epi16(q6, q5);
    377       const __m128i e0 = _mm_madd_epi16(d0, k__cospi_p16_m16);
    378       const __m128i e1 = _mm_madd_epi16(d1, k__cospi_p16_m16);
    379       const __m128i e2 = _mm_madd_epi16(d0, k__cospi_p16_p16);
    380       const __m128i e3 = _mm_madd_epi16(d1, k__cospi_p16_p16);
    381       // dct_const_round_shift
    382       const __m128i f0 = _mm_add_epi32(e0, k__DCT_CONST_ROUNDING);
    383       const __m128i f1 = _mm_add_epi32(e1, k__DCT_CONST_ROUNDING);
    384       const __m128i f2 = _mm_add_epi32(e2, k__DCT_CONST_ROUNDING);
    385       const __m128i f3 = _mm_add_epi32(e3, k__DCT_CONST_ROUNDING);
    386       const __m128i s0 = _mm_srai_epi32(f0, DCT_CONST_BITS);
    387       const __m128i s1 = _mm_srai_epi32(f1, DCT_CONST_BITS);
    388       const __m128i s2 = _mm_srai_epi32(f2, DCT_CONST_BITS);
    389       const __m128i s3 = _mm_srai_epi32(f3, DCT_CONST_BITS);
    390       // Combine
    391       const __m128i r0 = _mm_packs_epi32(s0, s1);
    392       const __m128i r1 = _mm_packs_epi32(s2, s3);
    393       // Add/subtract
    394       const __m128i x0 = _mm_add_epi16(q4, r0);
    395       const __m128i x1 = _mm_sub_epi16(q4, r0);
    396       const __m128i x2 = _mm_sub_epi16(q7, r1);
    397       const __m128i x3 = _mm_add_epi16(q7, r1);
    398       // Interleave to do the multiply by constants which gets us into 32bits
    399       const __m128i t0 = _mm_unpacklo_epi16(x0, x3);
    400       const __m128i t1 = _mm_unpackhi_epi16(x0, x3);
    401       const __m128i t2 = _mm_unpacklo_epi16(x1, x2);
    402       const __m128i t3 = _mm_unpackhi_epi16(x1, x2);
    403       const __m128i u0 = _mm_madd_epi16(t0, k__cospi_p28_p04);
    404       const __m128i u1 = _mm_madd_epi16(t1, k__cospi_p28_p04);
    405       const __m128i u2 = _mm_madd_epi16(t0, k__cospi_m04_p28);
    406       const __m128i u3 = _mm_madd_epi16(t1, k__cospi_m04_p28);
    407       const __m128i u4 = _mm_madd_epi16(t2, k__cospi_p12_p20);
    408       const __m128i u5 = _mm_madd_epi16(t3, k__cospi_p12_p20);
    409       const __m128i u6 = _mm_madd_epi16(t2, k__cospi_m20_p12);
    410       const __m128i u7 = _mm_madd_epi16(t3, k__cospi_m20_p12);
    411       // dct_const_round_shift
    412       const __m128i v0 = _mm_add_epi32(u0, k__DCT_CONST_ROUNDING);
    413       const __m128i v1 = _mm_add_epi32(u1, k__DCT_CONST_ROUNDING);
    414       const __m128i v2 = _mm_add_epi32(u2, k__DCT_CONST_ROUNDING);
    415       const __m128i v3 = _mm_add_epi32(u3, k__DCT_CONST_ROUNDING);
    416       const __m128i v4 = _mm_add_epi32(u4, k__DCT_CONST_ROUNDING);
    417       const __m128i v5 = _mm_add_epi32(u5, k__DCT_CONST_ROUNDING);
    418       const __m128i v6 = _mm_add_epi32(u6, k__DCT_CONST_ROUNDING);
    419       const __m128i v7 = _mm_add_epi32(u7, k__DCT_CONST_ROUNDING);
    420       const __m128i w0 = _mm_srai_epi32(v0, DCT_CONST_BITS);
    421       const __m128i w1 = _mm_srai_epi32(v1, DCT_CONST_BITS);
    422       const __m128i w2 = _mm_srai_epi32(v2, DCT_CONST_BITS);
    423       const __m128i w3 = _mm_srai_epi32(v3, DCT_CONST_BITS);
    424       const __m128i w4 = _mm_srai_epi32(v4, DCT_CONST_BITS);
    425       const __m128i w5 = _mm_srai_epi32(v5, DCT_CONST_BITS);
    426       const __m128i w6 = _mm_srai_epi32(v6, DCT_CONST_BITS);
    427       const __m128i w7 = _mm_srai_epi32(v7, DCT_CONST_BITS);
    428       // Combine
    429       res1 = _mm_packs_epi32(w0, w1);
    430       res7 = _mm_packs_epi32(w2, w3);
    431       res5 = _mm_packs_epi32(w4, w5);
    432       res3 = _mm_packs_epi32(w6, w7);
    433     }
    434     // Transpose the 8x8.
    435     {
    436       // 00 01 02 03 04 05 06 07
    437       // 10 11 12 13 14 15 16 17
    438       // 20 21 22 23 24 25 26 27
    439       // 30 31 32 33 34 35 36 37
    440       // 40 41 42 43 44 45 46 47
    441       // 50 51 52 53 54 55 56 57
    442       // 60 61 62 63 64 65 66 67
    443       // 70 71 72 73 74 75 76 77
    444       const __m128i tr0_0 = _mm_unpacklo_epi16(res0, res1);
    445       const __m128i tr0_1 = _mm_unpacklo_epi16(res2, res3);
    446       const __m128i tr0_2 = _mm_unpackhi_epi16(res0, res1);
    447       const __m128i tr0_3 = _mm_unpackhi_epi16(res2, res3);
    448       const __m128i tr0_4 = _mm_unpacklo_epi16(res4, res5);
    449       const __m128i tr0_5 = _mm_unpacklo_epi16(res6, res7);
    450       const __m128i tr0_6 = _mm_unpackhi_epi16(res4, res5);
    451       const __m128i tr0_7 = _mm_unpackhi_epi16(res6, res7);
    452       // 00 10 01 11 02 12 03 13
    453       // 20 30 21 31 22 32 23 33
    454       // 04 14 05 15 06 16 07 17
    455       // 24 34 25 35 26 36 27 37
    456       // 40 50 41 51 42 52 43 53
    457       // 60 70 61 71 62 72 63 73
    458       // 54 54 55 55 56 56 57 57
    459       // 64 74 65 75 66 76 67 77
    460       const __m128i tr1_0 = _mm_unpacklo_epi32(tr0_0, tr0_1);
    461       const __m128i tr1_1 = _mm_unpacklo_epi32(tr0_2, tr0_3);
    462       const __m128i tr1_2 = _mm_unpackhi_epi32(tr0_0, tr0_1);
    463       const __m128i tr1_3 = _mm_unpackhi_epi32(tr0_2, tr0_3);
    464       const __m128i tr1_4 = _mm_unpacklo_epi32(tr0_4, tr0_5);
    465       const __m128i tr1_5 = _mm_unpacklo_epi32(tr0_6, tr0_7);
    466       const __m128i tr1_6 = _mm_unpackhi_epi32(tr0_4, tr0_5);
    467       const __m128i tr1_7 = _mm_unpackhi_epi32(tr0_6, tr0_7);
    468       // 00 10 20 30 01 11 21 31
    469       // 40 50 60 70 41 51 61 71
    470       // 02 12 22 32 03 13 23 33
    471       // 42 52 62 72 43 53 63 73
    472       // 04 14 24 34 05 15 21 36
    473       // 44 54 64 74 45 55 61 76
    474       // 06 16 26 36 07 17 27 37
    475       // 46 56 66 76 47 57 67 77
    476       in0 = _mm_unpacklo_epi64(tr1_0, tr1_4);
    477       in1 = _mm_unpackhi_epi64(tr1_0, tr1_4);
    478       in2 = _mm_unpacklo_epi64(tr1_2, tr1_6);
    479       in3 = _mm_unpackhi_epi64(tr1_2, tr1_6);
    480       in4 = _mm_unpacklo_epi64(tr1_1, tr1_5);
    481       in5 = _mm_unpackhi_epi64(tr1_1, tr1_5);
    482       in6 = _mm_unpacklo_epi64(tr1_3, tr1_7);
    483       in7 = _mm_unpackhi_epi64(tr1_3, tr1_7);
    484       // 00 10 20 30 40 50 60 70
    485       // 01 11 21 31 41 51 61 71
    486       // 02 12 22 32 42 52 62 72
    487       // 03 13 23 33 43 53 63 73
    488       // 04 14 24 34 44 54 64 74
    489       // 05 15 25 35 45 55 65 75
    490       // 06 16 26 36 46 56 66 76
    491       // 07 17 27 37 47 57 67 77
    492     }
    493   }
    494   // Post-condition output and store it
    495   {
    496     // Post-condition (division by two)
    497     //    division of two 16 bits signed numbers using shifts
    498     //    n / 2 = (n - (n >> 15)) >> 1
    499     const __m128i sign_in0 = _mm_srai_epi16(in0, 15);
    500     const __m128i sign_in1 = _mm_srai_epi16(in1, 15);
    501     const __m128i sign_in2 = _mm_srai_epi16(in2, 15);
    502     const __m128i sign_in3 = _mm_srai_epi16(in3, 15);
    503     const __m128i sign_in4 = _mm_srai_epi16(in4, 15);
    504     const __m128i sign_in5 = _mm_srai_epi16(in5, 15);
    505     const __m128i sign_in6 = _mm_srai_epi16(in6, 15);
    506     const __m128i sign_in7 = _mm_srai_epi16(in7, 15);
    507     in0 = _mm_sub_epi16(in0, sign_in0);
    508     in1 = _mm_sub_epi16(in1, sign_in1);
    509     in2 = _mm_sub_epi16(in2, sign_in2);
    510     in3 = _mm_sub_epi16(in3, sign_in3);
    511     in4 = _mm_sub_epi16(in4, sign_in4);
    512     in5 = _mm_sub_epi16(in5, sign_in5);
    513     in6 = _mm_sub_epi16(in6, sign_in6);
    514     in7 = _mm_sub_epi16(in7, sign_in7);
    515     in0 = _mm_srai_epi16(in0, 1);
    516     in1 = _mm_srai_epi16(in1, 1);
    517     in2 = _mm_srai_epi16(in2, 1);
    518     in3 = _mm_srai_epi16(in3, 1);
    519     in4 = _mm_srai_epi16(in4, 1);
    520     in5 = _mm_srai_epi16(in5, 1);
    521     in6 = _mm_srai_epi16(in6, 1);
    522     in7 = _mm_srai_epi16(in7, 1);
    523     // store results
    524     _mm_store_si128((__m128i *)(output + 0 * 8), in0);
    525     _mm_store_si128((__m128i *)(output + 1 * 8), in1);
    526     _mm_store_si128((__m128i *)(output + 2 * 8), in2);
    527     _mm_store_si128((__m128i *)(output + 3 * 8), in3);
    528     _mm_store_si128((__m128i *)(output + 4 * 8), in4);
    529     _mm_store_si128((__m128i *)(output + 5 * 8), in5);
    530     _mm_store_si128((__m128i *)(output + 6 * 8), in6);
    531     _mm_store_si128((__m128i *)(output + 7 * 8), in7);
    532   }
    533 }
    534 
    535 // load 8x8 array
    536 static INLINE void load_buffer_8x8_avx2(const int16_t *input, __m128i *in,
    537                                    int stride) {
    538   in[0]  = _mm_load_si128((const __m128i *)(input + 0 * stride));
    539   in[1]  = _mm_load_si128((const __m128i *)(input + 1 * stride));
    540   in[2]  = _mm_load_si128((const __m128i *)(input + 2 * stride));
    541   in[3]  = _mm_load_si128((const __m128i *)(input + 3 * stride));
    542   in[4]  = _mm_load_si128((const __m128i *)(input + 4 * stride));
    543   in[5]  = _mm_load_si128((const __m128i *)(input + 5 * stride));
    544   in[6]  = _mm_load_si128((const __m128i *)(input + 6 * stride));
    545   in[7]  = _mm_load_si128((const __m128i *)(input + 7 * stride));
    546 
    547   in[0] = _mm_slli_epi16(in[0], 2);
    548   in[1] = _mm_slli_epi16(in[1], 2);
    549   in[2] = _mm_slli_epi16(in[2], 2);
    550   in[3] = _mm_slli_epi16(in[3], 2);
    551   in[4] = _mm_slli_epi16(in[4], 2);
    552   in[5] = _mm_slli_epi16(in[5], 2);
    553   in[6] = _mm_slli_epi16(in[6], 2);
    554   in[7] = _mm_slli_epi16(in[7], 2);
    555 }
    556 
    557 // right shift and rounding
    558 static INLINE void right_shift_8x8_avx2(__m128i *res, int const bit) {
    559   const __m128i kOne = _mm_set1_epi16(1);
    560   const int bit_m02 = bit - 2;
    561   __m128i sign0 = _mm_srai_epi16(res[0], 15);
    562   __m128i sign1 = _mm_srai_epi16(res[1], 15);
    563   __m128i sign2 = _mm_srai_epi16(res[2], 15);
    564   __m128i sign3 = _mm_srai_epi16(res[3], 15);
    565   __m128i sign4 = _mm_srai_epi16(res[4], 15);
    566   __m128i sign5 = _mm_srai_epi16(res[5], 15);
    567   __m128i sign6 = _mm_srai_epi16(res[6], 15);
    568   __m128i sign7 = _mm_srai_epi16(res[7], 15);
    569 
    570   if (bit_m02 >= 0) {
    571     __m128i k_const_rounding = _mm_slli_epi16(kOne, bit_m02);
    572     res[0] = _mm_add_epi16(res[0], k_const_rounding);
    573     res[1] = _mm_add_epi16(res[1], k_const_rounding);
    574     res[2] = _mm_add_epi16(res[2], k_const_rounding);
    575     res[3] = _mm_add_epi16(res[3], k_const_rounding);
    576     res[4] = _mm_add_epi16(res[4], k_const_rounding);
    577     res[5] = _mm_add_epi16(res[5], k_const_rounding);
    578     res[6] = _mm_add_epi16(res[6], k_const_rounding);
    579     res[7] = _mm_add_epi16(res[7], k_const_rounding);
    580   }
    581 
    582   res[0] = _mm_sub_epi16(res[0], sign0);
    583   res[1] = _mm_sub_epi16(res[1], sign1);
    584   res[2] = _mm_sub_epi16(res[2], sign2);
    585   res[3] = _mm_sub_epi16(res[3], sign3);
    586   res[4] = _mm_sub_epi16(res[4], sign4);
    587   res[5] = _mm_sub_epi16(res[5], sign5);
    588   res[6] = _mm_sub_epi16(res[6], sign6);
    589   res[7] = _mm_sub_epi16(res[7], sign7);
    590 
    591   res[0] = _mm_srai_epi16(res[0], bit);
    592   res[1] = _mm_srai_epi16(res[1], bit);
    593   res[2] = _mm_srai_epi16(res[2], bit);
    594   res[3] = _mm_srai_epi16(res[3], bit);
    595   res[4] = _mm_srai_epi16(res[4], bit);
    596   res[5] = _mm_srai_epi16(res[5], bit);
    597   res[6] = _mm_srai_epi16(res[6], bit);
    598   res[7] = _mm_srai_epi16(res[7], bit);
    599 }
    600 
    601 // write 8x8 array
    602 static INLINE void write_buffer_8x8_avx2(int16_t *output, __m128i *res, int stride) {
    603   _mm_store_si128((__m128i *)(output + 0 * stride), res[0]);
    604   _mm_store_si128((__m128i *)(output + 1 * stride), res[1]);
    605   _mm_store_si128((__m128i *)(output + 2 * stride), res[2]);
    606   _mm_store_si128((__m128i *)(output + 3 * stride), res[3]);
    607   _mm_store_si128((__m128i *)(output + 4 * stride), res[4]);
    608   _mm_store_si128((__m128i *)(output + 5 * stride), res[5]);
    609   _mm_store_si128((__m128i *)(output + 6 * stride), res[6]);
    610   _mm_store_si128((__m128i *)(output + 7 * stride), res[7]);
    611 }
    612 
    613 // perform in-place transpose
    614 static INLINE void array_transpose_8x8_avx2(__m128i *in, __m128i *res) {
    615   const __m128i tr0_0 = _mm_unpacklo_epi16(in[0], in[1]);
    616   const __m128i tr0_1 = _mm_unpacklo_epi16(in[2], in[3]);
    617   const __m128i tr0_2 = _mm_unpackhi_epi16(in[0], in[1]);
    618   const __m128i tr0_3 = _mm_unpackhi_epi16(in[2], in[3]);
    619   const __m128i tr0_4 = _mm_unpacklo_epi16(in[4], in[5]);
    620   const __m128i tr0_5 = _mm_unpacklo_epi16(in[6], in[7]);
    621   const __m128i tr0_6 = _mm_unpackhi_epi16(in[4], in[5]);
    622   const __m128i tr0_7 = _mm_unpackhi_epi16(in[6], in[7]);
    623   // 00 10 01 11 02 12 03 13
    624   // 20 30 21 31 22 32 23 33
    625   // 04 14 05 15 06 16 07 17
    626   // 24 34 25 35 26 36 27 37
    627   // 40 50 41 51 42 52 43 53
    628   // 60 70 61 71 62 72 63 73
    629   // 44 54 45 55 46 56 47 57
    630   // 64 74 65 75 66 76 67 77
    631   const __m128i tr1_0 = _mm_unpacklo_epi32(tr0_0, tr0_1);
    632   const __m128i tr1_1 = _mm_unpacklo_epi32(tr0_4, tr0_5);
    633   const __m128i tr1_2 = _mm_unpackhi_epi32(tr0_0, tr0_1);
    634   const __m128i tr1_3 = _mm_unpackhi_epi32(tr0_4, tr0_5);
    635   const __m128i tr1_4 = _mm_unpacklo_epi32(tr0_2, tr0_3);
    636   const __m128i tr1_5 = _mm_unpacklo_epi32(tr0_6, tr0_7);
    637   const __m128i tr1_6 = _mm_unpackhi_epi32(tr0_2, tr0_3);
    638   const __m128i tr1_7 = _mm_unpackhi_epi32(tr0_6, tr0_7);
    639   // 00 10 20 30 01 11 21 31
    640   // 40 50 60 70 41 51 61 71
    641   // 02 12 22 32 03 13 23 33
    642   // 42 52 62 72 43 53 63 73
    643   // 04 14 24 34 05 15 25 35
    644   // 44 54 64 74 45 55 65 75
    645   // 06 16 26 36 07 17 27 37
    646   // 46 56 66 76 47 57 67 77
    647   res[0] = _mm_unpacklo_epi64(tr1_0, tr1_1);
    648   res[1] = _mm_unpackhi_epi64(tr1_0, tr1_1);
    649   res[2] = _mm_unpacklo_epi64(tr1_2, tr1_3);
    650   res[3] = _mm_unpackhi_epi64(tr1_2, tr1_3);
    651   res[4] = _mm_unpacklo_epi64(tr1_4, tr1_5);
    652   res[5] = _mm_unpackhi_epi64(tr1_4, tr1_5);
    653   res[6] = _mm_unpacklo_epi64(tr1_6, tr1_7);
    654   res[7] = _mm_unpackhi_epi64(tr1_6, tr1_7);
    655   // 00 10 20 30 40 50 60 70
    656   // 01 11 21 31 41 51 61 71
    657   // 02 12 22 32 42 52 62 72
    658   // 03 13 23 33 43 53 63 73
    659   // 04 14 24 34 44 54 64 74
    660   // 05 15 25 35 45 55 65 75
    661   // 06 16 26 36 46 56 66 76
    662   // 07 17 27 37 47 57 67 77
    663 }
    664 
    665 void fdct8_avx2(__m128i *in) {
    666   // constants
    667   const __m128i k__cospi_p16_p16 = _mm_set1_epi16(cospi_16_64);
    668   const __m128i k__cospi_p16_m16 = pair_set_epi16(cospi_16_64, -cospi_16_64);
    669   const __m128i k__cospi_p24_p08 = pair_set_epi16(cospi_24_64, cospi_8_64);
    670   const __m128i k__cospi_m08_p24 = pair_set_epi16(-cospi_8_64, cospi_24_64);
    671   const __m128i k__cospi_p28_p04 = pair_set_epi16(cospi_28_64, cospi_4_64);
    672   const __m128i k__cospi_m04_p28 = pair_set_epi16(-cospi_4_64, cospi_28_64);
    673   const __m128i k__cospi_p12_p20 = pair_set_epi16(cospi_12_64, cospi_20_64);
    674   const __m128i k__cospi_m20_p12 = pair_set_epi16(-cospi_20_64, cospi_12_64);
    675   const __m128i k__DCT_CONST_ROUNDING = _mm_set1_epi32(DCT_CONST_ROUNDING);
    676   __m128i u0, u1, u2, u3, u4, u5, u6, u7;
    677   __m128i v0, v1, v2, v3, v4, v5, v6, v7;
    678   __m128i s0, s1, s2, s3, s4, s5, s6, s7;
    679 
    680   // stage 1
    681   s0 = _mm_add_epi16(in[0], in[7]);
    682   s1 = _mm_add_epi16(in[1], in[6]);
    683   s2 = _mm_add_epi16(in[2], in[5]);
    684   s3 = _mm_add_epi16(in[3], in[4]);
    685   s4 = _mm_sub_epi16(in[3], in[4]);
    686   s5 = _mm_sub_epi16(in[2], in[5]);
    687   s6 = _mm_sub_epi16(in[1], in[6]);
    688   s7 = _mm_sub_epi16(in[0], in[7]);
    689 
    690   u0 = _mm_add_epi16(s0, s3);
    691   u1 = _mm_add_epi16(s1, s2);
    692   u2 = _mm_sub_epi16(s1, s2);
    693   u3 = _mm_sub_epi16(s0, s3);
    694   // interleave and perform butterfly multiplication/addition
    695   v0 = _mm_unpacklo_epi16(u0, u1);
    696   v1 = _mm_unpackhi_epi16(u0, u1);
    697   v2 = _mm_unpacklo_epi16(u2, u3);
    698   v3 = _mm_unpackhi_epi16(u2, u3);
    699 
    700   u0 = _mm_madd_epi16(v0, k__cospi_p16_p16);
    701   u1 = _mm_madd_epi16(v1, k__cospi_p16_p16);
    702   u2 = _mm_madd_epi16(v0, k__cospi_p16_m16);
    703   u3 = _mm_madd_epi16(v1, k__cospi_p16_m16);
    704   u4 = _mm_madd_epi16(v2, k__cospi_p24_p08);
    705   u5 = _mm_madd_epi16(v3, k__cospi_p24_p08);
    706   u6 = _mm_madd_epi16(v2, k__cospi_m08_p24);
    707   u7 = _mm_madd_epi16(v3, k__cospi_m08_p24);
    708 
    709   // shift and rounding
    710   v0 = _mm_add_epi32(u0, k__DCT_CONST_ROUNDING);
    711   v1 = _mm_add_epi32(u1, k__DCT_CONST_ROUNDING);
    712   v2 = _mm_add_epi32(u2, k__DCT_CONST_ROUNDING);
    713   v3 = _mm_add_epi32(u3, k__DCT_CONST_ROUNDING);
    714   v4 = _mm_add_epi32(u4, k__DCT_CONST_ROUNDING);
    715   v5 = _mm_add_epi32(u5, k__DCT_CONST_ROUNDING);
    716   v6 = _mm_add_epi32(u6, k__DCT_CONST_ROUNDING);
    717   v7 = _mm_add_epi32(u7, k__DCT_CONST_ROUNDING);
    718 
    719   u0 = _mm_srai_epi32(v0, DCT_CONST_BITS);
    720   u1 = _mm_srai_epi32(v1, DCT_CONST_BITS);
    721   u2 = _mm_srai_epi32(v2, DCT_CONST_BITS);
    722   u3 = _mm_srai_epi32(v3, DCT_CONST_BITS);
    723   u4 = _mm_srai_epi32(v4, DCT_CONST_BITS);
    724   u5 = _mm_srai_epi32(v5, DCT_CONST_BITS);
    725   u6 = _mm_srai_epi32(v6, DCT_CONST_BITS);
    726   u7 = _mm_srai_epi32(v7, DCT_CONST_BITS);
    727 
    728   in[0] = _mm_packs_epi32(u0, u1);
    729   in[2] = _mm_packs_epi32(u4, u5);
    730   in[4] = _mm_packs_epi32(u2, u3);
    731   in[6] = _mm_packs_epi32(u6, u7);
    732 
    733   // stage 2
    734   // interleave and perform butterfly multiplication/addition
    735   u0 = _mm_unpacklo_epi16(s6, s5);
    736   u1 = _mm_unpackhi_epi16(s6, s5);
    737   v0 = _mm_madd_epi16(u0, k__cospi_p16_m16);
    738   v1 = _mm_madd_epi16(u1, k__cospi_p16_m16);
    739   v2 = _mm_madd_epi16(u0, k__cospi_p16_p16);
    740   v3 = _mm_madd_epi16(u1, k__cospi_p16_p16);
    741 
    742   // shift and rounding
    743   u0 = _mm_add_epi32(v0, k__DCT_CONST_ROUNDING);
    744   u1 = _mm_add_epi32(v1, k__DCT_CONST_ROUNDING);
    745   u2 = _mm_add_epi32(v2, k__DCT_CONST_ROUNDING);
    746   u3 = _mm_add_epi32(v3, k__DCT_CONST_ROUNDING);
    747 
    748   v0 = _mm_srai_epi32(u0, DCT_CONST_BITS);
    749   v1 = _mm_srai_epi32(u1, DCT_CONST_BITS);
    750   v2 = _mm_srai_epi32(u2, DCT_CONST_BITS);
    751   v3 = _mm_srai_epi32(u3, DCT_CONST_BITS);
    752 
    753   u0 = _mm_packs_epi32(v0, v1);
    754   u1 = _mm_packs_epi32(v2, v3);
    755 
    756   // stage 3
    757   s0 = _mm_add_epi16(s4, u0);
    758   s1 = _mm_sub_epi16(s4, u0);
    759   s2 = _mm_sub_epi16(s7, u1);
    760   s3 = _mm_add_epi16(s7, u1);
    761 
    762   // stage 4
    763   u0 = _mm_unpacklo_epi16(s0, s3);
    764   u1 = _mm_unpackhi_epi16(s0, s3);
    765   u2 = _mm_unpacklo_epi16(s1, s2);
    766   u3 = _mm_unpackhi_epi16(s1, s2);
    767 
    768   v0 = _mm_madd_epi16(u0, k__cospi_p28_p04);
    769   v1 = _mm_madd_epi16(u1, k__cospi_p28_p04);
    770   v2 = _mm_madd_epi16(u2, k__cospi_p12_p20);
    771   v3 = _mm_madd_epi16(u3, k__cospi_p12_p20);
    772   v4 = _mm_madd_epi16(u2, k__cospi_m20_p12);
    773   v5 = _mm_madd_epi16(u3, k__cospi_m20_p12);
    774   v6 = _mm_madd_epi16(u0, k__cospi_m04_p28);
    775   v7 = _mm_madd_epi16(u1, k__cospi_m04_p28);
    776 
    777   // shift and rounding
    778   u0 = _mm_add_epi32(v0, k__DCT_CONST_ROUNDING);
    779   u1 = _mm_add_epi32(v1, k__DCT_CONST_ROUNDING);
    780   u2 = _mm_add_epi32(v2, k__DCT_CONST_ROUNDING);
    781   u3 = _mm_add_epi32(v3, k__DCT_CONST_ROUNDING);
    782   u4 = _mm_add_epi32(v4, k__DCT_CONST_ROUNDING);
    783   u5 = _mm_add_epi32(v5, k__DCT_CONST_ROUNDING);
    784   u6 = _mm_add_epi32(v6, k__DCT_CONST_ROUNDING);
    785   u7 = _mm_add_epi32(v7, k__DCT_CONST_ROUNDING);
    786 
    787   v0 = _mm_srai_epi32(u0, DCT_CONST_BITS);
    788   v1 = _mm_srai_epi32(u1, DCT_CONST_BITS);
    789   v2 = _mm_srai_epi32(u2, DCT_CONST_BITS);
    790   v3 = _mm_srai_epi32(u3, DCT_CONST_BITS);
    791   v4 = _mm_srai_epi32(u4, DCT_CONST_BITS);
    792   v5 = _mm_srai_epi32(u5, DCT_CONST_BITS);
    793   v6 = _mm_srai_epi32(u6, DCT_CONST_BITS);
    794   v7 = _mm_srai_epi32(u7, DCT_CONST_BITS);
    795 
    796   in[1] = _mm_packs_epi32(v0, v1);
    797   in[3] = _mm_packs_epi32(v4, v5);
    798   in[5] = _mm_packs_epi32(v2, v3);
    799   in[7] = _mm_packs_epi32(v6, v7);
    800 
    801   // transpose
    802   array_transpose_8x8_avx2(in, in);
    803 }
    804 
    805 void fadst8_avx2(__m128i *in) {
    806   // Constants
    807   const __m128i k__cospi_p02_p30 = pair_set_epi16(cospi_2_64, cospi_30_64);
    808   const __m128i k__cospi_p30_m02 = pair_set_epi16(cospi_30_64, -cospi_2_64);
    809   const __m128i k__cospi_p10_p22 = pair_set_epi16(cospi_10_64, cospi_22_64);
    810   const __m128i k__cospi_p22_m10 = pair_set_epi16(cospi_22_64, -cospi_10_64);
    811   const __m128i k__cospi_p18_p14 = pair_set_epi16(cospi_18_64, cospi_14_64);
    812   const __m128i k__cospi_p14_m18 = pair_set_epi16(cospi_14_64, -cospi_18_64);
    813   const __m128i k__cospi_p26_p06 = pair_set_epi16(cospi_26_64, cospi_6_64);
    814   const __m128i k__cospi_p06_m26 = pair_set_epi16(cospi_6_64, -cospi_26_64);
    815   const __m128i k__cospi_p08_p24 = pair_set_epi16(cospi_8_64, cospi_24_64);
    816   const __m128i k__cospi_p24_m08 = pair_set_epi16(cospi_24_64, -cospi_8_64);
    817   const __m128i k__cospi_m24_p08 = pair_set_epi16(-cospi_24_64, cospi_8_64);
    818   const __m128i k__cospi_p16_m16 = pair_set_epi16(cospi_16_64, -cospi_16_64);
    819   const __m128i k__cospi_p16_p16 = _mm_set1_epi16(cospi_16_64);
    820   const __m128i k__const_0 = _mm_set1_epi16(0);
    821   const __m128i k__DCT_CONST_ROUNDING = _mm_set1_epi32(DCT_CONST_ROUNDING);
    822 
    823   __m128i u0, u1, u2, u3, u4, u5, u6, u7, u8, u9, u10, u11, u12, u13, u14, u15;
    824   __m128i v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15;
    825   __m128i w0, w1, w2, w3, w4, w5, w6, w7, w8, w9, w10, w11, w12, w13, w14, w15;
    826   __m128i s0, s1, s2, s3, s4, s5, s6, s7;
    827   __m128i in0, in1, in2, in3, in4, in5, in6, in7;
    828 
    829   // properly aligned for butterfly input
    830   in0  = in[7];
    831   in1  = in[0];
    832   in2  = in[5];
    833   in3  = in[2];
    834   in4  = in[3];
    835   in5  = in[4];
    836   in6  = in[1];
    837   in7  = in[6];
    838 
    839   // column transformation
    840   // stage 1
    841   // interleave and multiply/add into 32-bit integer
    842   s0 = _mm_unpacklo_epi16(in0, in1);
    843   s1 = _mm_unpackhi_epi16(in0, in1);
    844   s2 = _mm_unpacklo_epi16(in2, in3);
    845   s3 = _mm_unpackhi_epi16(in2, in3);
    846   s4 = _mm_unpacklo_epi16(in4, in5);
    847   s5 = _mm_unpackhi_epi16(in4, in5);
    848   s6 = _mm_unpacklo_epi16(in6, in7);
    849   s7 = _mm_unpackhi_epi16(in6, in7);
    850 
    851   u0 = _mm_madd_epi16(s0, k__cospi_p02_p30);
    852   u1 = _mm_madd_epi16(s1, k__cospi_p02_p30);
    853   u2 = _mm_madd_epi16(s0, k__cospi_p30_m02);
    854   u3 = _mm_madd_epi16(s1, k__cospi_p30_m02);
    855   u4 = _mm_madd_epi16(s2, k__cospi_p10_p22);
    856   u5 = _mm_madd_epi16(s3, k__cospi_p10_p22);
    857   u6 = _mm_madd_epi16(s2, k__cospi_p22_m10);
    858   u7 = _mm_madd_epi16(s3, k__cospi_p22_m10);
    859   u8 = _mm_madd_epi16(s4, k__cospi_p18_p14);
    860   u9 = _mm_madd_epi16(s5, k__cospi_p18_p14);
    861   u10 = _mm_madd_epi16(s4, k__cospi_p14_m18);
    862   u11 = _mm_madd_epi16(s5, k__cospi_p14_m18);
    863   u12 = _mm_madd_epi16(s6, k__cospi_p26_p06);
    864   u13 = _mm_madd_epi16(s7, k__cospi_p26_p06);
    865   u14 = _mm_madd_epi16(s6, k__cospi_p06_m26);
    866   u15 = _mm_madd_epi16(s7, k__cospi_p06_m26);
    867 
    868   // addition
    869   w0 = _mm_add_epi32(u0, u8);
    870   w1 = _mm_add_epi32(u1, u9);
    871   w2 = _mm_add_epi32(u2, u10);
    872   w3 = _mm_add_epi32(u3, u11);
    873   w4 = _mm_add_epi32(u4, u12);
    874   w5 = _mm_add_epi32(u5, u13);
    875   w6 = _mm_add_epi32(u6, u14);
    876   w7 = _mm_add_epi32(u7, u15);
    877   w8 = _mm_sub_epi32(u0, u8);
    878   w9 = _mm_sub_epi32(u1, u9);
    879   w10 = _mm_sub_epi32(u2, u10);
    880   w11 = _mm_sub_epi32(u3, u11);
    881   w12 = _mm_sub_epi32(u4, u12);
    882   w13 = _mm_sub_epi32(u5, u13);
    883   w14 = _mm_sub_epi32(u6, u14);
    884   w15 = _mm_sub_epi32(u7, u15);
    885 
    886   // shift and rounding
    887   v0 = _mm_add_epi32(w0, k__DCT_CONST_ROUNDING);
    888   v1 = _mm_add_epi32(w1, k__DCT_CONST_ROUNDING);
    889   v2 = _mm_add_epi32(w2, k__DCT_CONST_ROUNDING);
    890   v3 = _mm_add_epi32(w3, k__DCT_CONST_ROUNDING);
    891   v4 = _mm_add_epi32(w4, k__DCT_CONST_ROUNDING);
    892   v5 = _mm_add_epi32(w5, k__DCT_CONST_ROUNDING);
    893   v6 = _mm_add_epi32(w6, k__DCT_CONST_ROUNDING);
    894   v7 = _mm_add_epi32(w7, k__DCT_CONST_ROUNDING);
    895   v8 = _mm_add_epi32(w8, k__DCT_CONST_ROUNDING);
    896   v9 = _mm_add_epi32(w9, k__DCT_CONST_ROUNDING);
    897   v10 = _mm_add_epi32(w10, k__DCT_CONST_ROUNDING);
    898   v11 = _mm_add_epi32(w11, k__DCT_CONST_ROUNDING);
    899   v12 = _mm_add_epi32(w12, k__DCT_CONST_ROUNDING);
    900   v13 = _mm_add_epi32(w13, k__DCT_CONST_ROUNDING);
    901   v14 = _mm_add_epi32(w14, k__DCT_CONST_ROUNDING);
    902   v15 = _mm_add_epi32(w15, k__DCT_CONST_ROUNDING);
    903 
    904   u0 = _mm_srai_epi32(v0, DCT_CONST_BITS);
    905   u1 = _mm_srai_epi32(v1, DCT_CONST_BITS);
    906   u2 = _mm_srai_epi32(v2, DCT_CONST_BITS);
    907   u3 = _mm_srai_epi32(v3, DCT_CONST_BITS);
    908   u4 = _mm_srai_epi32(v4, DCT_CONST_BITS);
    909   u5 = _mm_srai_epi32(v5, DCT_CONST_BITS);
    910   u6 = _mm_srai_epi32(v6, DCT_CONST_BITS);
    911   u7 = _mm_srai_epi32(v7, DCT_CONST_BITS);
    912   u8 = _mm_srai_epi32(v8, DCT_CONST_BITS);
    913   u9 = _mm_srai_epi32(v9, DCT_CONST_BITS);
    914   u10 = _mm_srai_epi32(v10, DCT_CONST_BITS);
    915   u11 = _mm_srai_epi32(v11, DCT_CONST_BITS);
    916   u12 = _mm_srai_epi32(v12, DCT_CONST_BITS);
    917   u13 = _mm_srai_epi32(v13, DCT_CONST_BITS);
    918   u14 = _mm_srai_epi32(v14, DCT_CONST_BITS);
    919   u15 = _mm_srai_epi32(v15, DCT_CONST_BITS);
    920 
    921   // back to 16-bit and pack 8 integers into __m128i
    922   in[0] = _mm_packs_epi32(u0, u1);
    923   in[1] = _mm_packs_epi32(u2, u3);
    924   in[2] = _mm_packs_epi32(u4, u5);
    925   in[3] = _mm_packs_epi32(u6, u7);
    926   in[4] = _mm_packs_epi32(u8, u9);
    927   in[5] = _mm_packs_epi32(u10, u11);
    928   in[6] = _mm_packs_epi32(u12, u13);
    929   in[7] = _mm_packs_epi32(u14, u15);
    930 
    931   // stage 2
    932   s0 = _mm_add_epi16(in[0], in[2]);
    933   s1 = _mm_add_epi16(in[1], in[3]);
    934   s2 = _mm_sub_epi16(in[0], in[2]);
    935   s3 = _mm_sub_epi16(in[1], in[3]);
    936   u0 = _mm_unpacklo_epi16(in[4], in[5]);
    937   u1 = _mm_unpackhi_epi16(in[4], in[5]);
    938   u2 = _mm_unpacklo_epi16(in[6], in[7]);
    939   u3 = _mm_unpackhi_epi16(in[6], in[7]);
    940 
    941   v0 = _mm_madd_epi16(u0, k__cospi_p08_p24);
    942   v1 = _mm_madd_epi16(u1, k__cospi_p08_p24);
    943   v2 = _mm_madd_epi16(u0, k__cospi_p24_m08);
    944   v3 = _mm_madd_epi16(u1, k__cospi_p24_m08);
    945   v4 = _mm_madd_epi16(u2, k__cospi_m24_p08);
    946   v5 = _mm_madd_epi16(u3, k__cospi_m24_p08);
    947   v6 = _mm_madd_epi16(u2, k__cospi_p08_p24);
    948   v7 = _mm_madd_epi16(u3, k__cospi_p08_p24);
    949 
    950   w0 = _mm_add_epi32(v0, v4);
    951   w1 = _mm_add_epi32(v1, v5);
    952   w2 = _mm_add_epi32(v2, v6);
    953   w3 = _mm_add_epi32(v3, v7);
    954   w4 = _mm_sub_epi32(v0, v4);
    955   w5 = _mm_sub_epi32(v1, v5);
    956   w6 = _mm_sub_epi32(v2, v6);
    957   w7 = _mm_sub_epi32(v3, v7);
    958 
    959   v0 = _mm_add_epi32(w0, k__DCT_CONST_ROUNDING);
    960   v1 = _mm_add_epi32(w1, k__DCT_CONST_ROUNDING);
    961   v2 = _mm_add_epi32(w2, k__DCT_CONST_ROUNDING);
    962   v3 = _mm_add_epi32(w3, k__DCT_CONST_ROUNDING);
    963   v4 = _mm_add_epi32(w4, k__DCT_CONST_ROUNDING);
    964   v5 = _mm_add_epi32(w5, k__DCT_CONST_ROUNDING);
    965   v6 = _mm_add_epi32(w6, k__DCT_CONST_ROUNDING);
    966   v7 = _mm_add_epi32(w7, k__DCT_CONST_ROUNDING);
    967 
    968   u0 = _mm_srai_epi32(v0, DCT_CONST_BITS);
    969   u1 = _mm_srai_epi32(v1, DCT_CONST_BITS);
    970   u2 = _mm_srai_epi32(v2, DCT_CONST_BITS);
    971   u3 = _mm_srai_epi32(v3, DCT_CONST_BITS);
    972   u4 = _mm_srai_epi32(v4, DCT_CONST_BITS);
    973   u5 = _mm_srai_epi32(v5, DCT_CONST_BITS);
    974   u6 = _mm_srai_epi32(v6, DCT_CONST_BITS);
    975   u7 = _mm_srai_epi32(v7, DCT_CONST_BITS);
    976 
    977   // back to 16-bit intergers
    978   s4 = _mm_packs_epi32(u0, u1);
    979   s5 = _mm_packs_epi32(u2, u3);
    980   s6 = _mm_packs_epi32(u4, u5);
    981   s7 = _mm_packs_epi32(u6, u7);
    982 
    983   // stage 3
    984   u0 = _mm_unpacklo_epi16(s2, s3);
    985   u1 = _mm_unpackhi_epi16(s2, s3);
    986   u2 = _mm_unpacklo_epi16(s6, s7);
    987   u3 = _mm_unpackhi_epi16(s6, s7);
    988 
    989   v0 = _mm_madd_epi16(u0, k__cospi_p16_p16);
    990   v1 = _mm_madd_epi16(u1, k__cospi_p16_p16);
    991   v2 = _mm_madd_epi16(u0, k__cospi_p16_m16);
    992   v3 = _mm_madd_epi16(u1, k__cospi_p16_m16);
    993   v4 = _mm_madd_epi16(u2, k__cospi_p16_p16);
    994   v5 = _mm_madd_epi16(u3, k__cospi_p16_p16);
    995   v6 = _mm_madd_epi16(u2, k__cospi_p16_m16);
    996   v7 = _mm_madd_epi16(u3, k__cospi_p16_m16);
    997 
    998   u0 = _mm_add_epi32(v0, k__DCT_CONST_ROUNDING);
    999   u1 = _mm_add_epi32(v1, k__DCT_CONST_ROUNDING);
   1000   u2 = _mm_add_epi32(v2, k__DCT_CONST_ROUNDING);
   1001   u3 = _mm_add_epi32(v3, k__DCT_CONST_ROUNDING);
   1002   u4 = _mm_add_epi32(v4, k__DCT_CONST_ROUNDING);
   1003   u5 = _mm_add_epi32(v5, k__DCT_CONST_ROUNDING);
   1004   u6 = _mm_add_epi32(v6, k__DCT_CONST_ROUNDING);
   1005   u7 = _mm_add_epi32(v7, k__DCT_CONST_ROUNDING);
   1006 
   1007   v0 = _mm_srai_epi32(u0, DCT_CONST_BITS);
   1008   v1 = _mm_srai_epi32(u1, DCT_CONST_BITS);
   1009   v2 = _mm_srai_epi32(u2, DCT_CONST_BITS);
   1010   v3 = _mm_srai_epi32(u3, DCT_CONST_BITS);
   1011   v4 = _mm_srai_epi32(u4, DCT_CONST_BITS);
   1012   v5 = _mm_srai_epi32(u5, DCT_CONST_BITS);
   1013   v6 = _mm_srai_epi32(u6, DCT_CONST_BITS);
   1014   v7 = _mm_srai_epi32(u7, DCT_CONST_BITS);
   1015 
   1016   s2 = _mm_packs_epi32(v0, v1);
   1017   s3 = _mm_packs_epi32(v2, v3);
   1018   s6 = _mm_packs_epi32(v4, v5);
   1019   s7 = _mm_packs_epi32(v6, v7);
   1020 
   1021   // FIXME(jingning): do subtract using bit inversion?
   1022   in[0] = s0;
   1023   in[1] = _mm_sub_epi16(k__const_0, s4);
   1024   in[2] = s6;
   1025   in[3] = _mm_sub_epi16(k__const_0, s2);
   1026   in[4] = s3;
   1027   in[5] = _mm_sub_epi16(k__const_0, s7);
   1028   in[6] = s5;
   1029   in[7] = _mm_sub_epi16(k__const_0, s1);
   1030 
   1031   // transpose
   1032   array_transpose_8x8_avx2(in, in);
   1033 }
   1034 
   1035 void vp9_fht8x8_avx2(const int16_t *input, int16_t *output,
   1036                      int stride, int tx_type) {
   1037   __m128i in[8];
   1038 
   1039   switch (tx_type) {
   1040     case DCT_DCT:
   1041       vp9_fdct8x8_avx2(input, output, stride);
   1042       break;
   1043     case ADST_DCT:
   1044       load_buffer_8x8_avx2(input, in, stride);
   1045       fadst8_avx2(in);
   1046       fdct8_avx2(in);
   1047       right_shift_8x8_avx2(in, 1);
   1048       write_buffer_8x8_avx2(output, in, 8);
   1049       break;
   1050     case DCT_ADST:
   1051       load_buffer_8x8_avx2(input, in, stride);
   1052       fdct8_avx2(in);
   1053       fadst8_avx2(in);
   1054       right_shift_8x8_avx2(in, 1);
   1055       write_buffer_8x8_avx2(output, in, 8);
   1056       break;
   1057     case ADST_ADST:
   1058       load_buffer_8x8_avx2(input, in, stride);
   1059       fadst8_avx2(in);
   1060       fadst8_avx2(in);
   1061       right_shift_8x8_avx2(in, 1);
   1062       write_buffer_8x8_avx2(output, in, 8);
   1063       break;
   1064     default:
   1065       assert(0);
   1066       break;
   1067   }
   1068 }
   1069 
   1070 void vp9_fdct16x16_avx2(const int16_t *input, int16_t *output, int stride) {
   1071   // The 2D transform is done with two passes which are actually pretty
   1072   // similar. In the first one, we transform the columns and transpose
   1073   // the results. In the second one, we transform the rows. To achieve that,
   1074   // as the first pass results are transposed, we transpose the columns (that
   1075   // is the transposed rows) and transpose the results (so that it goes back
   1076   // in normal/row positions).
   1077   int pass;
   1078   // We need an intermediate buffer between passes.
   1079   DECLARE_ALIGNED_ARRAY(16, int16_t, intermediate, 256);
   1080   const int16_t *in = input;
   1081   int16_t *out = intermediate;
   1082   // Constants
   1083   //    When we use them, in one case, they are all the same. In all others
   1084   //    it's a pair of them that we need to repeat four times. This is done
   1085   //    by constructing the 32 bit constant corresponding to that pair.
   1086   const __m128i k__cospi_p16_p16 = _mm_set1_epi16(cospi_16_64);
   1087   const __m128i k__cospi_p16_m16 = pair_set_epi16(cospi_16_64, -cospi_16_64);
   1088   const __m128i k__cospi_p24_p08 = pair_set_epi16(cospi_24_64, cospi_8_64);
   1089   const __m128i k__cospi_m24_m08 = pair_set_epi16(-cospi_24_64, -cospi_8_64);
   1090   const __m128i k__cospi_m08_p24 = pair_set_epi16(-cospi_8_64, cospi_24_64);
   1091   const __m128i k__cospi_p28_p04 = pair_set_epi16(cospi_28_64, cospi_4_64);
   1092   const __m128i k__cospi_m04_p28 = pair_set_epi16(-cospi_4_64, cospi_28_64);
   1093   const __m128i k__cospi_p12_p20 = pair_set_epi16(cospi_12_64, cospi_20_64);
   1094   const __m128i k__cospi_m20_p12 = pair_set_epi16(-cospi_20_64, cospi_12_64);
   1095   const __m128i k__cospi_p30_p02 = pair_set_epi16(cospi_30_64, cospi_2_64);
   1096   const __m128i k__cospi_p14_p18 = pair_set_epi16(cospi_14_64, cospi_18_64);
   1097   const __m128i k__cospi_m02_p30 = pair_set_epi16(-cospi_2_64, cospi_30_64);
   1098   const __m128i k__cospi_m18_p14 = pair_set_epi16(-cospi_18_64, cospi_14_64);
   1099   const __m128i k__cospi_p22_p10 = pair_set_epi16(cospi_22_64, cospi_10_64);
   1100   const __m128i k__cospi_p06_p26 = pair_set_epi16(cospi_6_64, cospi_26_64);
   1101   const __m128i k__cospi_m10_p22 = pair_set_epi16(-cospi_10_64, cospi_22_64);
   1102   const __m128i k__cospi_m26_p06 = pair_set_epi16(-cospi_26_64, cospi_6_64);
   1103   const __m128i k__DCT_CONST_ROUNDING = _mm_set1_epi32(DCT_CONST_ROUNDING);
   1104   const __m128i kOne = _mm_set1_epi16(1);
   1105   // Do the two transform/transpose passes
   1106   for (pass = 0; pass < 2; ++pass) {
   1107     // We process eight columns (transposed rows in second pass) at a time.
   1108     int column_start;
   1109     for (column_start = 0; column_start < 16; column_start += 8) {
   1110       __m128i in00, in01, in02, in03, in04, in05, in06, in07;
   1111       __m128i in08, in09, in10, in11, in12, in13, in14, in15;
   1112       __m128i input0, input1, input2, input3, input4, input5, input6, input7;
   1113       __m128i step1_0, step1_1, step1_2, step1_3;
   1114       __m128i step1_4, step1_5, step1_6, step1_7;
   1115       __m128i step2_1, step2_2, step2_3, step2_4, step2_5, step2_6;
   1116       __m128i step3_0, step3_1, step3_2, step3_3;
   1117       __m128i step3_4, step3_5, step3_6, step3_7;
   1118       __m128i res00, res01, res02, res03, res04, res05, res06, res07;
   1119       __m128i res08, res09, res10, res11, res12, res13, res14, res15;
   1120       // Load and pre-condition input.
   1121       if (0 == pass) {
   1122         in00  = _mm_load_si128((const __m128i *)(in +  0 * stride));
   1123         in01  = _mm_load_si128((const __m128i *)(in +  1 * stride));
   1124         in02  = _mm_load_si128((const __m128i *)(in +  2 * stride));
   1125         in03  = _mm_load_si128((const __m128i *)(in +  3 * stride));
   1126         in04  = _mm_load_si128((const __m128i *)(in +  4 * stride));
   1127         in05  = _mm_load_si128((const __m128i *)(in +  5 * stride));
   1128         in06  = _mm_load_si128((const __m128i *)(in +  6 * stride));
   1129         in07  = _mm_load_si128((const __m128i *)(in +  7 * stride));
   1130         in08  = _mm_load_si128((const __m128i *)(in +  8 * stride));
   1131         in09  = _mm_load_si128((const __m128i *)(in +  9 * stride));
   1132         in10  = _mm_load_si128((const __m128i *)(in + 10 * stride));
   1133         in11  = _mm_load_si128((const __m128i *)(in + 11 * stride));
   1134         in12  = _mm_load_si128((const __m128i *)(in + 12 * stride));
   1135         in13  = _mm_load_si128((const __m128i *)(in + 13 * stride));
   1136         in14  = _mm_load_si128((const __m128i *)(in + 14 * stride));
   1137         in15  = _mm_load_si128((const __m128i *)(in + 15 * stride));
   1138         // x = x << 2
   1139         in00 = _mm_slli_epi16(in00, 2);
   1140         in01 = _mm_slli_epi16(in01, 2);
   1141         in02 = _mm_slli_epi16(in02, 2);
   1142         in03 = _mm_slli_epi16(in03, 2);
   1143         in04 = _mm_slli_epi16(in04, 2);
   1144         in05 = _mm_slli_epi16(in05, 2);
   1145         in06 = _mm_slli_epi16(in06, 2);
   1146         in07 = _mm_slli_epi16(in07, 2);
   1147         in08 = _mm_slli_epi16(in08, 2);
   1148         in09 = _mm_slli_epi16(in09, 2);
   1149         in10 = _mm_slli_epi16(in10, 2);
   1150         in11 = _mm_slli_epi16(in11, 2);
   1151         in12 = _mm_slli_epi16(in12, 2);
   1152         in13 = _mm_slli_epi16(in13, 2);
   1153         in14 = _mm_slli_epi16(in14, 2);
   1154         in15 = _mm_slli_epi16(in15, 2);
   1155       } else {
   1156         in00  = _mm_load_si128((const __m128i *)(in +  0 * 16));
   1157         in01  = _mm_load_si128((const __m128i *)(in +  1 * 16));
   1158         in02  = _mm_load_si128((const __m128i *)(in +  2 * 16));
   1159         in03  = _mm_load_si128((const __m128i *)(in +  3 * 16));
   1160         in04  = _mm_load_si128((const __m128i *)(in +  4 * 16));
   1161         in05  = _mm_load_si128((const __m128i *)(in +  5 * 16));
   1162         in06  = _mm_load_si128((const __m128i *)(in +  6 * 16));
   1163         in07  = _mm_load_si128((const __m128i *)(in +  7 * 16));
   1164         in08  = _mm_load_si128((const __m128i *)(in +  8 * 16));
   1165         in09  = _mm_load_si128((const __m128i *)(in +  9 * 16));
   1166         in10  = _mm_load_si128((const __m128i *)(in + 10 * 16));
   1167         in11  = _mm_load_si128((const __m128i *)(in + 11 * 16));
   1168         in12  = _mm_load_si128((const __m128i *)(in + 12 * 16));
   1169         in13  = _mm_load_si128((const __m128i *)(in + 13 * 16));
   1170         in14  = _mm_load_si128((const __m128i *)(in + 14 * 16));
   1171         in15  = _mm_load_si128((const __m128i *)(in + 15 * 16));
   1172         // x = (x + 1) >> 2
   1173         in00 = _mm_add_epi16(in00, kOne);
   1174         in01 = _mm_add_epi16(in01, kOne);
   1175         in02 = _mm_add_epi16(in02, kOne);
   1176         in03 = _mm_add_epi16(in03, kOne);
   1177         in04 = _mm_add_epi16(in04, kOne);
   1178         in05 = _mm_add_epi16(in05, kOne);
   1179         in06 = _mm_add_epi16(in06, kOne);
   1180         in07 = _mm_add_epi16(in07, kOne);
   1181         in08 = _mm_add_epi16(in08, kOne);
   1182         in09 = _mm_add_epi16(in09, kOne);
   1183         in10 = _mm_add_epi16(in10, kOne);
   1184         in11 = _mm_add_epi16(in11, kOne);
   1185         in12 = _mm_add_epi16(in12, kOne);
   1186         in13 = _mm_add_epi16(in13, kOne);
   1187         in14 = _mm_add_epi16(in14, kOne);
   1188         in15 = _mm_add_epi16(in15, kOne);
   1189         in00 = _mm_srai_epi16(in00, 2);
   1190         in01 = _mm_srai_epi16(in01, 2);
   1191         in02 = _mm_srai_epi16(in02, 2);
   1192         in03 = _mm_srai_epi16(in03, 2);
   1193         in04 = _mm_srai_epi16(in04, 2);
   1194         in05 = _mm_srai_epi16(in05, 2);
   1195         in06 = _mm_srai_epi16(in06, 2);
   1196         in07 = _mm_srai_epi16(in07, 2);
   1197         in08 = _mm_srai_epi16(in08, 2);
   1198         in09 = _mm_srai_epi16(in09, 2);
   1199         in10 = _mm_srai_epi16(in10, 2);
   1200         in11 = _mm_srai_epi16(in11, 2);
   1201         in12 = _mm_srai_epi16(in12, 2);
   1202         in13 = _mm_srai_epi16(in13, 2);
   1203         in14 = _mm_srai_epi16(in14, 2);
   1204         in15 = _mm_srai_epi16(in15, 2);
   1205       }
   1206       in += 8;
   1207       // Calculate input for the first 8 results.
   1208       {
   1209         input0 = _mm_add_epi16(in00, in15);
   1210         input1 = _mm_add_epi16(in01, in14);
   1211         input2 = _mm_add_epi16(in02, in13);
   1212         input3 = _mm_add_epi16(in03, in12);
   1213         input4 = _mm_add_epi16(in04, in11);
   1214         input5 = _mm_add_epi16(in05, in10);
   1215         input6 = _mm_add_epi16(in06, in09);
   1216         input7 = _mm_add_epi16(in07, in08);
   1217       }
   1218       // Calculate input for the next 8 results.
   1219       {
   1220         step1_0 = _mm_sub_epi16(in07, in08);
   1221         step1_1 = _mm_sub_epi16(in06, in09);
   1222         step1_2 = _mm_sub_epi16(in05, in10);
   1223         step1_3 = _mm_sub_epi16(in04, in11);
   1224         step1_4 = _mm_sub_epi16(in03, in12);
   1225         step1_5 = _mm_sub_epi16(in02, in13);
   1226         step1_6 = _mm_sub_epi16(in01, in14);
   1227         step1_7 = _mm_sub_epi16(in00, in15);
   1228       }
   1229       // Work on the first eight values; fdct8(input, even_results);
   1230       {
   1231         // Add/subtract
   1232         const __m128i q0 = _mm_add_epi16(input0, input7);
   1233         const __m128i q1 = _mm_add_epi16(input1, input6);
   1234         const __m128i q2 = _mm_add_epi16(input2, input5);
   1235         const __m128i q3 = _mm_add_epi16(input3, input4);
   1236         const __m128i q4 = _mm_sub_epi16(input3, input4);
   1237         const __m128i q5 = _mm_sub_epi16(input2, input5);
   1238         const __m128i q6 = _mm_sub_epi16(input1, input6);
   1239         const __m128i q7 = _mm_sub_epi16(input0, input7);
   1240         // Work on first four results
   1241         {
   1242           // Add/subtract
   1243           const __m128i r0 = _mm_add_epi16(q0, q3);
   1244           const __m128i r1 = _mm_add_epi16(q1, q2);
   1245           const __m128i r2 = _mm_sub_epi16(q1, q2);
   1246           const __m128i r3 = _mm_sub_epi16(q0, q3);
   1247           // Interleave to do the multiply by constants which gets us
   1248           // into 32 bits.
   1249           const __m128i t0 = _mm_unpacklo_epi16(r0, r1);
   1250           const __m128i t1 = _mm_unpackhi_epi16(r0, r1);
   1251           const __m128i t2 = _mm_unpacklo_epi16(r2, r3);
   1252           const __m128i t3 = _mm_unpackhi_epi16(r2, r3);
   1253           const __m128i u0 = _mm_madd_epi16(t0, k__cospi_p16_p16);
   1254           const __m128i u1 = _mm_madd_epi16(t1, k__cospi_p16_p16);
   1255           const __m128i u2 = _mm_madd_epi16(t0, k__cospi_p16_m16);
   1256           const __m128i u3 = _mm_madd_epi16(t1, k__cospi_p16_m16);
   1257           const __m128i u4 = _mm_madd_epi16(t2, k__cospi_p24_p08);
   1258           const __m128i u5 = _mm_madd_epi16(t3, k__cospi_p24_p08);
   1259           const __m128i u6 = _mm_madd_epi16(t2, k__cospi_m08_p24);
   1260           const __m128i u7 = _mm_madd_epi16(t3, k__cospi_m08_p24);
   1261           // dct_const_round_shift
   1262           const __m128i v0 = _mm_add_epi32(u0, k__DCT_CONST_ROUNDING);
   1263           const __m128i v1 = _mm_add_epi32(u1, k__DCT_CONST_ROUNDING);
   1264           const __m128i v2 = _mm_add_epi32(u2, k__DCT_CONST_ROUNDING);
   1265           const __m128i v3 = _mm_add_epi32(u3, k__DCT_CONST_ROUNDING);
   1266           const __m128i v4 = _mm_add_epi32(u4, k__DCT_CONST_ROUNDING);
   1267           const __m128i v5 = _mm_add_epi32(u5, k__DCT_CONST_ROUNDING);
   1268           const __m128i v6 = _mm_add_epi32(u6, k__DCT_CONST_ROUNDING);
   1269           const __m128i v7 = _mm_add_epi32(u7, k__DCT_CONST_ROUNDING);
   1270           const __m128i w0 = _mm_srai_epi32(v0, DCT_CONST_BITS);
   1271           const __m128i w1 = _mm_srai_epi32(v1, DCT_CONST_BITS);
   1272           const __m128i w2 = _mm_srai_epi32(v2, DCT_CONST_BITS);
   1273           const __m128i w3 = _mm_srai_epi32(v3, DCT_CONST_BITS);
   1274           const __m128i w4 = _mm_srai_epi32(v4, DCT_CONST_BITS);
   1275           const __m128i w5 = _mm_srai_epi32(v5, DCT_CONST_BITS);
   1276           const __m128i w6 = _mm_srai_epi32(v6, DCT_CONST_BITS);
   1277           const __m128i w7 = _mm_srai_epi32(v7, DCT_CONST_BITS);
   1278           // Combine
   1279           res00 = _mm_packs_epi32(w0, w1);
   1280           res08 = _mm_packs_epi32(w2, w3);
   1281           res04 = _mm_packs_epi32(w4, w5);
   1282           res12 = _mm_packs_epi32(w6, w7);
   1283         }
   1284         // Work on next four results
   1285         {
   1286           // Interleave to do the multiply by constants which gets us
   1287           // into 32 bits.
   1288           const __m128i d0 = _mm_unpacklo_epi16(q6, q5);
   1289           const __m128i d1 = _mm_unpackhi_epi16(q6, q5);
   1290           const __m128i e0 = _mm_madd_epi16(d0, k__cospi_p16_m16);
   1291           const __m128i e1 = _mm_madd_epi16(d1, k__cospi_p16_m16);
   1292           const __m128i e2 = _mm_madd_epi16(d0, k__cospi_p16_p16);
   1293           const __m128i e3 = _mm_madd_epi16(d1, k__cospi_p16_p16);
   1294           // dct_const_round_shift
   1295           const __m128i f0 = _mm_add_epi32(e0, k__DCT_CONST_ROUNDING);
   1296           const __m128i f1 = _mm_add_epi32(e1, k__DCT_CONST_ROUNDING);
   1297           const __m128i f2 = _mm_add_epi32(e2, k__DCT_CONST_ROUNDING);
   1298           const __m128i f3 = _mm_add_epi32(e3, k__DCT_CONST_ROUNDING);
   1299           const __m128i s0 = _mm_srai_epi32(f0, DCT_CONST_BITS);
   1300           const __m128i s1 = _mm_srai_epi32(f1, DCT_CONST_BITS);
   1301           const __m128i s2 = _mm_srai_epi32(f2, DCT_CONST_BITS);
   1302           const __m128i s3 = _mm_srai_epi32(f3, DCT_CONST_BITS);
   1303           // Combine
   1304           const __m128i r0 = _mm_packs_epi32(s0, s1);
   1305           const __m128i r1 = _mm_packs_epi32(s2, s3);
   1306           // Add/subtract
   1307           const __m128i x0 = _mm_add_epi16(q4, r0);
   1308           const __m128i x1 = _mm_sub_epi16(q4, r0);
   1309           const __m128i x2 = _mm_sub_epi16(q7, r1);
   1310           const __m128i x3 = _mm_add_epi16(q7, r1);
   1311           // Interleave to do the multiply by constants which gets us
   1312           // into 32 bits.
   1313           const __m128i t0 = _mm_unpacklo_epi16(x0, x3);
   1314           const __m128i t1 = _mm_unpackhi_epi16(x0, x3);
   1315           const __m128i t2 = _mm_unpacklo_epi16(x1, x2);
   1316           const __m128i t3 = _mm_unpackhi_epi16(x1, x2);
   1317           const __m128i u0 = _mm_madd_epi16(t0, k__cospi_p28_p04);
   1318           const __m128i u1 = _mm_madd_epi16(t1, k__cospi_p28_p04);
   1319           const __m128i u2 = _mm_madd_epi16(t0, k__cospi_m04_p28);
   1320           const __m128i u3 = _mm_madd_epi16(t1, k__cospi_m04_p28);
   1321           const __m128i u4 = _mm_madd_epi16(t2, k__cospi_p12_p20);
   1322           const __m128i u5 = _mm_madd_epi16(t3, k__cospi_p12_p20);
   1323           const __m128i u6 = _mm_madd_epi16(t2, k__cospi_m20_p12);
   1324           const __m128i u7 = _mm_madd_epi16(t3, k__cospi_m20_p12);
   1325           // dct_const_round_shift
   1326           const __m128i v0 = _mm_add_epi32(u0, k__DCT_CONST_ROUNDING);
   1327           const __m128i v1 = _mm_add_epi32(u1, k__DCT_CONST_ROUNDING);
   1328           const __m128i v2 = _mm_add_epi32(u2, k__DCT_CONST_ROUNDING);
   1329           const __m128i v3 = _mm_add_epi32(u3, k__DCT_CONST_ROUNDING);
   1330           const __m128i v4 = _mm_add_epi32(u4, k__DCT_CONST_ROUNDING);
   1331           const __m128i v5 = _mm_add_epi32(u5, k__DCT_CONST_ROUNDING);
   1332           const __m128i v6 = _mm_add_epi32(u6, k__DCT_CONST_ROUNDING);
   1333           const __m128i v7 = _mm_add_epi32(u7, k__DCT_CONST_ROUNDING);
   1334           const __m128i w0 = _mm_srai_epi32(v0, DCT_CONST_BITS);
   1335           const __m128i w1 = _mm_srai_epi32(v1, DCT_CONST_BITS);
   1336           const __m128i w2 = _mm_srai_epi32(v2, DCT_CONST_BITS);
   1337           const __m128i w3 = _mm_srai_epi32(v3, DCT_CONST_BITS);
   1338           const __m128i w4 = _mm_srai_epi32(v4, DCT_CONST_BITS);
   1339           const __m128i w5 = _mm_srai_epi32(v5, DCT_CONST_BITS);
   1340           const __m128i w6 = _mm_srai_epi32(v6, DCT_CONST_BITS);
   1341           const __m128i w7 = _mm_srai_epi32(v7, DCT_CONST_BITS);
   1342           // Combine
   1343           res02 = _mm_packs_epi32(w0, w1);
   1344           res14 = _mm_packs_epi32(w2, w3);
   1345           res10 = _mm_packs_epi32(w4, w5);
   1346           res06 = _mm_packs_epi32(w6, w7);
   1347         }
   1348       }
   1349       // Work on the next eight values; step1 -> odd_results
   1350       {
   1351         // step 2
   1352         {
   1353           const __m128i t0 = _mm_unpacklo_epi16(step1_5, step1_2);
   1354           const __m128i t1 = _mm_unpackhi_epi16(step1_5, step1_2);
   1355           const __m128i t2 = _mm_unpacklo_epi16(step1_4, step1_3);
   1356           const __m128i t3 = _mm_unpackhi_epi16(step1_4, step1_3);
   1357           const __m128i u0 = _mm_madd_epi16(t0, k__cospi_p16_m16);
   1358           const __m128i u1 = _mm_madd_epi16(t1, k__cospi_p16_m16);
   1359           const __m128i u2 = _mm_madd_epi16(t2, k__cospi_p16_m16);
   1360           const __m128i u3 = _mm_madd_epi16(t3, k__cospi_p16_m16);
   1361           // dct_const_round_shift
   1362           const __m128i v0 = _mm_add_epi32(u0, k__DCT_CONST_ROUNDING);
   1363           const __m128i v1 = _mm_add_epi32(u1, k__DCT_CONST_ROUNDING);
   1364           const __m128i v2 = _mm_add_epi32(u2, k__DCT_CONST_ROUNDING);
   1365           const __m128i v3 = _mm_add_epi32(u3, k__DCT_CONST_ROUNDING);
   1366           const __m128i w0 = _mm_srai_epi32(v0, DCT_CONST_BITS);
   1367           const __m128i w1 = _mm_srai_epi32(v1, DCT_CONST_BITS);
   1368           const __m128i w2 = _mm_srai_epi32(v2, DCT_CONST_BITS);
   1369           const __m128i w3 = _mm_srai_epi32(v3, DCT_CONST_BITS);
   1370           // Combine
   1371           step2_2 = _mm_packs_epi32(w0, w1);
   1372           step2_3 = _mm_packs_epi32(w2, w3);
   1373         }
   1374         {
   1375           const __m128i t0 = _mm_unpacklo_epi16(step1_5, step1_2);
   1376           const __m128i t1 = _mm_unpackhi_epi16(step1_5, step1_2);
   1377           const __m128i t2 = _mm_unpacklo_epi16(step1_4, step1_3);
   1378           const __m128i t3 = _mm_unpackhi_epi16(step1_4, step1_3);
   1379           const __m128i u0 = _mm_madd_epi16(t0, k__cospi_p16_p16);
   1380           const __m128i u1 = _mm_madd_epi16(t1, k__cospi_p16_p16);
   1381           const __m128i u2 = _mm_madd_epi16(t2, k__cospi_p16_p16);
   1382           const __m128i u3 = _mm_madd_epi16(t3, k__cospi_p16_p16);
   1383           // dct_const_round_shift
   1384           const __m128i v0 = _mm_add_epi32(u0, k__DCT_CONST_ROUNDING);
   1385           const __m128i v1 = _mm_add_epi32(u1, k__DCT_CONST_ROUNDING);
   1386           const __m128i v2 = _mm_add_epi32(u2, k__DCT_CONST_ROUNDING);
   1387           const __m128i v3 = _mm_add_epi32(u3, k__DCT_CONST_ROUNDING);
   1388           const __m128i w0 = _mm_srai_epi32(v0, DCT_CONST_BITS);
   1389           const __m128i w1 = _mm_srai_epi32(v1, DCT_CONST_BITS);
   1390           const __m128i w2 = _mm_srai_epi32(v2, DCT_CONST_BITS);
   1391           const __m128i w3 = _mm_srai_epi32(v3, DCT_CONST_BITS);
   1392           // Combine
   1393           step2_5 = _mm_packs_epi32(w0, w1);
   1394           step2_4 = _mm_packs_epi32(w2, w3);
   1395         }
   1396         // step 3
   1397         {
   1398           step3_0 = _mm_add_epi16(step1_0, step2_3);
   1399           step3_1 = _mm_add_epi16(step1_1, step2_2);
   1400           step3_2 = _mm_sub_epi16(step1_1, step2_2);
   1401           step3_3 = _mm_sub_epi16(step1_0, step2_3);
   1402           step3_4 = _mm_sub_epi16(step1_7, step2_4);
   1403           step3_5 = _mm_sub_epi16(step1_6, step2_5);
   1404           step3_6 = _mm_add_epi16(step1_6, step2_5);
   1405           step3_7 = _mm_add_epi16(step1_7, step2_4);
   1406         }
   1407         // step 4
   1408         {
   1409           const __m128i t0 = _mm_unpacklo_epi16(step3_1, step3_6);
   1410           const __m128i t1 = _mm_unpackhi_epi16(step3_1, step3_6);
   1411           const __m128i t2 = _mm_unpacklo_epi16(step3_2, step3_5);
   1412           const __m128i t3 = _mm_unpackhi_epi16(step3_2, step3_5);
   1413           const __m128i u0 = _mm_madd_epi16(t0, k__cospi_m08_p24);
   1414           const __m128i u1 = _mm_madd_epi16(t1, k__cospi_m08_p24);
   1415           const __m128i u2 = _mm_madd_epi16(t2, k__cospi_m24_m08);
   1416           const __m128i u3 = _mm_madd_epi16(t3, k__cospi_m24_m08);
   1417           // dct_const_round_shift
   1418           const __m128i v0 = _mm_add_epi32(u0, k__DCT_CONST_ROUNDING);
   1419           const __m128i v1 = _mm_add_epi32(u1, k__DCT_CONST_ROUNDING);
   1420           const __m128i v2 = _mm_add_epi32(u2, k__DCT_CONST_ROUNDING);
   1421           const __m128i v3 = _mm_add_epi32(u3, k__DCT_CONST_ROUNDING);
   1422           const __m128i w0 = _mm_srai_epi32(v0, DCT_CONST_BITS);
   1423           const __m128i w1 = _mm_srai_epi32(v1, DCT_CONST_BITS);
   1424           const __m128i w2 = _mm_srai_epi32(v2, DCT_CONST_BITS);
   1425           const __m128i w3 = _mm_srai_epi32(v3, DCT_CONST_BITS);
   1426           // Combine
   1427           step2_1 = _mm_packs_epi32(w0, w1);
   1428           step2_2 = _mm_packs_epi32(w2, w3);
   1429         }
   1430         {
   1431           const __m128i t0 = _mm_unpacklo_epi16(step3_1, step3_6);
   1432           const __m128i t1 = _mm_unpackhi_epi16(step3_1, step3_6);
   1433           const __m128i t2 = _mm_unpacklo_epi16(step3_2, step3_5);
   1434           const __m128i t3 = _mm_unpackhi_epi16(step3_2, step3_5);
   1435           const __m128i u0 = _mm_madd_epi16(t0, k__cospi_p24_p08);
   1436           const __m128i u1 = _mm_madd_epi16(t1, k__cospi_p24_p08);
   1437           const __m128i u2 = _mm_madd_epi16(t2, k__cospi_m08_p24);
   1438           const __m128i u3 = _mm_madd_epi16(t3, k__cospi_m08_p24);
   1439           // dct_const_round_shift
   1440           const __m128i v0 = _mm_add_epi32(u0, k__DCT_CONST_ROUNDING);
   1441           const __m128i v1 = _mm_add_epi32(u1, k__DCT_CONST_ROUNDING);
   1442           const __m128i v2 = _mm_add_epi32(u2, k__DCT_CONST_ROUNDING);
   1443           const __m128i v3 = _mm_add_epi32(u3, k__DCT_CONST_ROUNDING);
   1444           const __m128i w0 = _mm_srai_epi32(v0, DCT_CONST_BITS);
   1445           const __m128i w1 = _mm_srai_epi32(v1, DCT_CONST_BITS);
   1446           const __m128i w2 = _mm_srai_epi32(v2, DCT_CONST_BITS);
   1447           const __m128i w3 = _mm_srai_epi32(v3, DCT_CONST_BITS);
   1448           // Combine
   1449           step2_6 = _mm_packs_epi32(w0, w1);
   1450           step2_5 = _mm_packs_epi32(w2, w3);
   1451         }
   1452         // step 5
   1453         {
   1454           step1_0 = _mm_add_epi16(step3_0, step2_1);
   1455           step1_1 = _mm_sub_epi16(step3_0, step2_1);
   1456           step1_2 = _mm_sub_epi16(step3_3, step2_2);
   1457           step1_3 = _mm_add_epi16(step3_3, step2_2);
   1458           step1_4 = _mm_add_epi16(step3_4, step2_5);
   1459           step1_5 = _mm_sub_epi16(step3_4, step2_5);
   1460           step1_6 = _mm_sub_epi16(step3_7, step2_6);
   1461           step1_7 = _mm_add_epi16(step3_7, step2_6);
   1462         }
   1463         // step 6
   1464         {
   1465           const __m128i t0 = _mm_unpacklo_epi16(step1_0, step1_7);
   1466           const __m128i t1 = _mm_unpackhi_epi16(step1_0, step1_7);
   1467           const __m128i t2 = _mm_unpacklo_epi16(step1_1, step1_6);
   1468           const __m128i t3 = _mm_unpackhi_epi16(step1_1, step1_6);
   1469           const __m128i u0 = _mm_madd_epi16(t0, k__cospi_p30_p02);
   1470           const __m128i u1 = _mm_madd_epi16(t1, k__cospi_p30_p02);
   1471           const __m128i u2 = _mm_madd_epi16(t2, k__cospi_p14_p18);
   1472           const __m128i u3 = _mm_madd_epi16(t3, k__cospi_p14_p18);
   1473           // dct_const_round_shift
   1474           const __m128i v0 = _mm_add_epi32(u0, k__DCT_CONST_ROUNDING);
   1475           const __m128i v1 = _mm_add_epi32(u1, k__DCT_CONST_ROUNDING);
   1476           const __m128i v2 = _mm_add_epi32(u2, k__DCT_CONST_ROUNDING);
   1477           const __m128i v3 = _mm_add_epi32(u3, k__DCT_CONST_ROUNDING);
   1478           const __m128i w0 = _mm_srai_epi32(v0, DCT_CONST_BITS);
   1479           const __m128i w1 = _mm_srai_epi32(v1, DCT_CONST_BITS);
   1480           const __m128i w2 = _mm_srai_epi32(v2, DCT_CONST_BITS);
   1481           const __m128i w3 = _mm_srai_epi32(v3, DCT_CONST_BITS);
   1482           // Combine
   1483           res01 = _mm_packs_epi32(w0, w1);
   1484           res09 = _mm_packs_epi32(w2, w3);
   1485         }
   1486         {
   1487           const __m128i t0 = _mm_unpacklo_epi16(step1_2, step1_5);
   1488           const __m128i t1 = _mm_unpackhi_epi16(step1_2, step1_5);
   1489           const __m128i t2 = _mm_unpacklo_epi16(step1_3, step1_4);
   1490           const __m128i t3 = _mm_unpackhi_epi16(step1_3, step1_4);
   1491           const __m128i u0 = _mm_madd_epi16(t0, k__cospi_p22_p10);
   1492           const __m128i u1 = _mm_madd_epi16(t1, k__cospi_p22_p10);
   1493           const __m128i u2 = _mm_madd_epi16(t2, k__cospi_p06_p26);
   1494           const __m128i u3 = _mm_madd_epi16(t3, k__cospi_p06_p26);
   1495           // dct_const_round_shift
   1496           const __m128i v0 = _mm_add_epi32(u0, k__DCT_CONST_ROUNDING);
   1497           const __m128i v1 = _mm_add_epi32(u1, k__DCT_CONST_ROUNDING);
   1498           const __m128i v2 = _mm_add_epi32(u2, k__DCT_CONST_ROUNDING);
   1499           const __m128i v3 = _mm_add_epi32(u3, k__DCT_CONST_ROUNDING);
   1500           const __m128i w0 = _mm_srai_epi32(v0, DCT_CONST_BITS);
   1501           const __m128i w1 = _mm_srai_epi32(v1, DCT_CONST_BITS);
   1502           const __m128i w2 = _mm_srai_epi32(v2, DCT_CONST_BITS);
   1503           const __m128i w3 = _mm_srai_epi32(v3, DCT_CONST_BITS);
   1504           // Combine
   1505           res05 = _mm_packs_epi32(w0, w1);
   1506           res13 = _mm_packs_epi32(w2, w3);
   1507         }
   1508         {
   1509           const __m128i t0 = _mm_unpacklo_epi16(step1_2, step1_5);
   1510           const __m128i t1 = _mm_unpackhi_epi16(step1_2, step1_5);
   1511           const __m128i t2 = _mm_unpacklo_epi16(step1_3, step1_4);
   1512           const __m128i t3 = _mm_unpackhi_epi16(step1_3, step1_4);
   1513           const __m128i u0 = _mm_madd_epi16(t0, k__cospi_m10_p22);
   1514           const __m128i u1 = _mm_madd_epi16(t1, k__cospi_m10_p22);
   1515           const __m128i u2 = _mm_madd_epi16(t2, k__cospi_m26_p06);
   1516           const __m128i u3 = _mm_madd_epi16(t3, k__cospi_m26_p06);
   1517           // dct_const_round_shift
   1518           const __m128i v0 = _mm_add_epi32(u0, k__DCT_CONST_ROUNDING);
   1519           const __m128i v1 = _mm_add_epi32(u1, k__DCT_CONST_ROUNDING);
   1520           const __m128i v2 = _mm_add_epi32(u2, k__DCT_CONST_ROUNDING);
   1521           const __m128i v3 = _mm_add_epi32(u3, k__DCT_CONST_ROUNDING);
   1522           const __m128i w0 = _mm_srai_epi32(v0, DCT_CONST_BITS);
   1523           const __m128i w1 = _mm_srai_epi32(v1, DCT_CONST_BITS);
   1524           const __m128i w2 = _mm_srai_epi32(v2, DCT_CONST_BITS);
   1525           const __m128i w3 = _mm_srai_epi32(v3, DCT_CONST_BITS);
   1526           // Combine
   1527           res11 = _mm_packs_epi32(w0, w1);
   1528           res03 = _mm_packs_epi32(w2, w3);
   1529         }
   1530         {
   1531           const __m128i t0 = _mm_unpacklo_epi16(step1_0, step1_7);
   1532           const __m128i t1 = _mm_unpackhi_epi16(step1_0, step1_7);
   1533           const __m128i t2 = _mm_unpacklo_epi16(step1_1, step1_6);
   1534           const __m128i t3 = _mm_unpackhi_epi16(step1_1, step1_6);
   1535           const __m128i u0 = _mm_madd_epi16(t0, k__cospi_m02_p30);
   1536           const __m128i u1 = _mm_madd_epi16(t1, k__cospi_m02_p30);
   1537           const __m128i u2 = _mm_madd_epi16(t2, k__cospi_m18_p14);
   1538           const __m128i u3 = _mm_madd_epi16(t3, k__cospi_m18_p14);
   1539           // dct_const_round_shift
   1540           const __m128i v0 = _mm_add_epi32(u0, k__DCT_CONST_ROUNDING);
   1541           const __m128i v1 = _mm_add_epi32(u1, k__DCT_CONST_ROUNDING);
   1542           const __m128i v2 = _mm_add_epi32(u2, k__DCT_CONST_ROUNDING);
   1543           const __m128i v3 = _mm_add_epi32(u3, k__DCT_CONST_ROUNDING);
   1544           const __m128i w0 = _mm_srai_epi32(v0, DCT_CONST_BITS);
   1545           const __m128i w1 = _mm_srai_epi32(v1, DCT_CONST_BITS);
   1546           const __m128i w2 = _mm_srai_epi32(v2, DCT_CONST_BITS);
   1547           const __m128i w3 = _mm_srai_epi32(v3, DCT_CONST_BITS);
   1548           // Combine
   1549           res15 = _mm_packs_epi32(w0, w1);
   1550           res07 = _mm_packs_epi32(w2, w3);
   1551         }
   1552       }
   1553       // Transpose the results, do it as two 8x8 transposes.
   1554       {
   1555         // 00 01 02 03 04 05 06 07
   1556         // 10 11 12 13 14 15 16 17
   1557         // 20 21 22 23 24 25 26 27
   1558         // 30 31 32 33 34 35 36 37
   1559         // 40 41 42 43 44 45 46 47
   1560         // 50 51 52 53 54 55 56 57
   1561         // 60 61 62 63 64 65 66 67
   1562         // 70 71 72 73 74 75 76 77
   1563         const __m128i tr0_0 = _mm_unpacklo_epi16(res00, res01);
   1564         const __m128i tr0_1 = _mm_unpacklo_epi16(res02, res03);
   1565         const __m128i tr0_2 = _mm_unpackhi_epi16(res00, res01);
   1566         const __m128i tr0_3 = _mm_unpackhi_epi16(res02, res03);
   1567         const __m128i tr0_4 = _mm_unpacklo_epi16(res04, res05);
   1568         const __m128i tr0_5 = _mm_unpacklo_epi16(res06, res07);
   1569         const __m128i tr0_6 = _mm_unpackhi_epi16(res04, res05);
   1570         const __m128i tr0_7 = _mm_unpackhi_epi16(res06, res07);
   1571         // 00 10 01 11 02 12 03 13
   1572         // 20 30 21 31 22 32 23 33
   1573         // 04 14 05 15 06 16 07 17
   1574         // 24 34 25 35 26 36 27 37
   1575         // 40 50 41 51 42 52 43 53
   1576         // 60 70 61 71 62 72 63 73
   1577         // 54 54 55 55 56 56 57 57
   1578         // 64 74 65 75 66 76 67 77
   1579         const __m128i tr1_0 = _mm_unpacklo_epi32(tr0_0, tr0_1);
   1580         const __m128i tr1_1 = _mm_unpacklo_epi32(tr0_2, tr0_3);
   1581         const __m128i tr1_2 = _mm_unpackhi_epi32(tr0_0, tr0_1);
   1582         const __m128i tr1_3 = _mm_unpackhi_epi32(tr0_2, tr0_3);
   1583         const __m128i tr1_4 = _mm_unpacklo_epi32(tr0_4, tr0_5);
   1584         const __m128i tr1_5 = _mm_unpacklo_epi32(tr0_6, tr0_7);
   1585         const __m128i tr1_6 = _mm_unpackhi_epi32(tr0_4, tr0_5);
   1586         const __m128i tr1_7 = _mm_unpackhi_epi32(tr0_6, tr0_7);
   1587         // 00 10 20 30 01 11 21 31
   1588         // 40 50 60 70 41 51 61 71
   1589         // 02 12 22 32 03 13 23 33
   1590         // 42 52 62 72 43 53 63 73
   1591         // 04 14 24 34 05 15 21 36
   1592         // 44 54 64 74 45 55 61 76
   1593         // 06 16 26 36 07 17 27 37
   1594         // 46 56 66 76 47 57 67 77
   1595         const __m128i tr2_0 = _mm_unpacklo_epi64(tr1_0, tr1_4);
   1596         const __m128i tr2_1 = _mm_unpackhi_epi64(tr1_0, tr1_4);
   1597         const __m128i tr2_2 = _mm_unpacklo_epi64(tr1_2, tr1_6);
   1598         const __m128i tr2_3 = _mm_unpackhi_epi64(tr1_2, tr1_6);
   1599         const __m128i tr2_4 = _mm_unpacklo_epi64(tr1_1, tr1_5);
   1600         const __m128i tr2_5 = _mm_unpackhi_epi64(tr1_1, tr1_5);
   1601         const __m128i tr2_6 = _mm_unpacklo_epi64(tr1_3, tr1_7);
   1602         const __m128i tr2_7 = _mm_unpackhi_epi64(tr1_3, tr1_7);
   1603         // 00 10 20 30 40 50 60 70
   1604         // 01 11 21 31 41 51 61 71
   1605         // 02 12 22 32 42 52 62 72
   1606         // 03 13 23 33 43 53 63 73
   1607         // 04 14 24 34 44 54 64 74
   1608         // 05 15 25 35 45 55 65 75
   1609         // 06 16 26 36 46 56 66 76
   1610         // 07 17 27 37 47 57 67 77
   1611         _mm_storeu_si128((__m128i *)(out + 0 * 16), tr2_0);
   1612         _mm_storeu_si128((__m128i *)(out + 1 * 16), tr2_1);
   1613         _mm_storeu_si128((__m128i *)(out + 2 * 16), tr2_2);
   1614         _mm_storeu_si128((__m128i *)(out + 3 * 16), tr2_3);
   1615         _mm_storeu_si128((__m128i *)(out + 4 * 16), tr2_4);
   1616         _mm_storeu_si128((__m128i *)(out + 5 * 16), tr2_5);
   1617         _mm_storeu_si128((__m128i *)(out + 6 * 16), tr2_6);
   1618         _mm_storeu_si128((__m128i *)(out + 7 * 16), tr2_7);
   1619       }
   1620       {
   1621         // 00 01 02 03 04 05 06 07
   1622         // 10 11 12 13 14 15 16 17
   1623         // 20 21 22 23 24 25 26 27
   1624         // 30 31 32 33 34 35 36 37
   1625         // 40 41 42 43 44 45 46 47
   1626         // 50 51 52 53 54 55 56 57
   1627         // 60 61 62 63 64 65 66 67
   1628         // 70 71 72 73 74 75 76 77
   1629         const __m128i tr0_0 = _mm_unpacklo_epi16(res08, res09);
   1630         const __m128i tr0_1 = _mm_unpacklo_epi16(res10, res11);
   1631         const __m128i tr0_2 = _mm_unpackhi_epi16(res08, res09);
   1632         const __m128i tr0_3 = _mm_unpackhi_epi16(res10, res11);
   1633         const __m128i tr0_4 = _mm_unpacklo_epi16(res12, res13);
   1634         const __m128i tr0_5 = _mm_unpacklo_epi16(res14, res15);
   1635         const __m128i tr0_6 = _mm_unpackhi_epi16(res12, res13);
   1636         const __m128i tr0_7 = _mm_unpackhi_epi16(res14, res15);
   1637         // 00 10 01 11 02 12 03 13
   1638         // 20 30 21 31 22 32 23 33
   1639         // 04 14 05 15 06 16 07 17
   1640         // 24 34 25 35 26 36 27 37
   1641         // 40 50 41 51 42 52 43 53
   1642         // 60 70 61 71 62 72 63 73
   1643         // 54 54 55 55 56 56 57 57
   1644         // 64 74 65 75 66 76 67 77
   1645         const __m128i tr1_0 = _mm_unpacklo_epi32(tr0_0, tr0_1);
   1646         const __m128i tr1_1 = _mm_unpacklo_epi32(tr0_2, tr0_3);
   1647         const __m128i tr1_2 = _mm_unpackhi_epi32(tr0_0, tr0_1);
   1648         const __m128i tr1_3 = _mm_unpackhi_epi32(tr0_2, tr0_3);
   1649         const __m128i tr1_4 = _mm_unpacklo_epi32(tr0_4, tr0_5);
   1650         const __m128i tr1_5 = _mm_unpacklo_epi32(tr0_6, tr0_7);
   1651         const __m128i tr1_6 = _mm_unpackhi_epi32(tr0_4, tr0_5);
   1652         const __m128i tr1_7 = _mm_unpackhi_epi32(tr0_6, tr0_7);
   1653         // 00 10 20 30 01 11 21 31
   1654         // 40 50 60 70 41 51 61 71
   1655         // 02 12 22 32 03 13 23 33
   1656         // 42 52 62 72 43 53 63 73
   1657         // 04 14 24 34 05 15 21 36
   1658         // 44 54 64 74 45 55 61 76
   1659         // 06 16 26 36 07 17 27 37
   1660         // 46 56 66 76 47 57 67 77
   1661         const __m128i tr2_0 = _mm_unpacklo_epi64(tr1_0, tr1_4);
   1662         const __m128i tr2_1 = _mm_unpackhi_epi64(tr1_0, tr1_4);
   1663         const __m128i tr2_2 = _mm_unpacklo_epi64(tr1_2, tr1_6);
   1664         const __m128i tr2_3 = _mm_unpackhi_epi64(tr1_2, tr1_6);
   1665         const __m128i tr2_4 = _mm_unpacklo_epi64(tr1_1, tr1_5);
   1666         const __m128i tr2_5 = _mm_unpackhi_epi64(tr1_1, tr1_5);
   1667         const __m128i tr2_6 = _mm_unpacklo_epi64(tr1_3, tr1_7);
   1668         const __m128i tr2_7 = _mm_unpackhi_epi64(tr1_3, tr1_7);
   1669         // 00 10 20 30 40 50 60 70
   1670         // 01 11 21 31 41 51 61 71
   1671         // 02 12 22 32 42 52 62 72
   1672         // 03 13 23 33 43 53 63 73
   1673         // 04 14 24 34 44 54 64 74
   1674         // 05 15 25 35 45 55 65 75
   1675         // 06 16 26 36 46 56 66 76
   1676         // 07 17 27 37 47 57 67 77
   1677         // Store results
   1678         _mm_store_si128((__m128i *)(out + 8 + 0 * 16), tr2_0);
   1679         _mm_store_si128((__m128i *)(out + 8 + 1 * 16), tr2_1);
   1680         _mm_store_si128((__m128i *)(out + 8 + 2 * 16), tr2_2);
   1681         _mm_store_si128((__m128i *)(out + 8 + 3 * 16), tr2_3);
   1682         _mm_store_si128((__m128i *)(out + 8 + 4 * 16), tr2_4);
   1683         _mm_store_si128((__m128i *)(out + 8 + 5 * 16), tr2_5);
   1684         _mm_store_si128((__m128i *)(out + 8 + 6 * 16), tr2_6);
   1685         _mm_store_si128((__m128i *)(out + 8 + 7 * 16), tr2_7);
   1686       }
   1687       out += 8*16;
   1688     }
   1689     // Setup in/out for next pass.
   1690     in = intermediate;
   1691     out = output;
   1692   }
   1693 }
   1694 
   1695 static INLINE void load_buffer_16x16_avx2(const int16_t* input, __m128i *in0,
   1696                                      __m128i *in1, int stride) {
   1697   // load first 8 columns
   1698   load_buffer_8x8_avx2(input, in0, stride);
   1699   load_buffer_8x8_avx2(input + 8 * stride, in0 + 8, stride);
   1700 
   1701   input += 8;
   1702   // load second 8 columns
   1703   load_buffer_8x8_avx2(input, in1, stride);
   1704   load_buffer_8x8_avx2(input + 8 * stride, in1 + 8, stride);
   1705 }
   1706 
   1707 static INLINE void write_buffer_16x16_avx2(int16_t *output, __m128i *in0,
   1708                                       __m128i *in1, int stride) {
   1709   // write first 8 columns
   1710   write_buffer_8x8_avx2(output, in0, stride);
   1711   write_buffer_8x8_avx2(output + 8 * stride, in0 + 8, stride);
   1712   // write second 8 columns
   1713   output += 8;
   1714   write_buffer_8x8_avx2(output, in1, stride);
   1715   write_buffer_8x8_avx2(output + 8 * stride, in1 + 8, stride);
   1716 }
   1717 
   1718 static INLINE void array_transpose_16x16_avx2(__m128i *res0, __m128i *res1) {
   1719   __m128i tbuf[8];
   1720   array_transpose_8x8_avx2(res0, res0);
   1721   array_transpose_8x8_avx2(res1, tbuf);
   1722   array_transpose_8x8_avx2(res0 + 8, res1);
   1723   array_transpose_8x8_avx2(res1 + 8, res1 + 8);
   1724 
   1725   res0[8] = tbuf[0];
   1726   res0[9] = tbuf[1];
   1727   res0[10] = tbuf[2];
   1728   res0[11] = tbuf[3];
   1729   res0[12] = tbuf[4];
   1730   res0[13] = tbuf[5];
   1731   res0[14] = tbuf[6];
   1732   res0[15] = tbuf[7];
   1733 }
   1734 
   1735 static INLINE void right_shift_16x16_avx2(__m128i *res0, __m128i *res1) {
   1736   // perform rounding operations
   1737   right_shift_8x8_avx2(res0, 2);
   1738   right_shift_8x8_avx2(res0 + 8, 2);
   1739   right_shift_8x8_avx2(res1, 2);
   1740   right_shift_8x8_avx2(res1 + 8, 2);
   1741 }
   1742 
   1743 void fdct16_8col_avx2(__m128i *in) {
   1744   // perform 16x16 1-D DCT for 8 columns
   1745   __m128i i[8], s[8], p[8], t[8], u[16], v[16];
   1746   const __m128i k__cospi_p16_p16 = _mm_set1_epi16(cospi_16_64);
   1747   const __m128i k__cospi_p16_m16 = pair_set_epi16(cospi_16_64, -cospi_16_64);
   1748   const __m128i k__cospi_m16_p16 = pair_set_epi16(-cospi_16_64, cospi_16_64);
   1749   const __m128i k__cospi_p24_p08 = pair_set_epi16(cospi_24_64, cospi_8_64);
   1750   const __m128i k__cospi_m24_m08 = pair_set_epi16(-cospi_24_64, -cospi_8_64);
   1751   const __m128i k__cospi_m08_p24 = pair_set_epi16(-cospi_8_64, cospi_24_64);
   1752   const __m128i k__cospi_p28_p04 = pair_set_epi16(cospi_28_64, cospi_4_64);
   1753   const __m128i k__cospi_m04_p28 = pair_set_epi16(-cospi_4_64, cospi_28_64);
   1754   const __m128i k__cospi_p12_p20 = pair_set_epi16(cospi_12_64, cospi_20_64);
   1755   const __m128i k__cospi_m20_p12 = pair_set_epi16(-cospi_20_64, cospi_12_64);
   1756   const __m128i k__cospi_p30_p02 = pair_set_epi16(cospi_30_64, cospi_2_64);
   1757   const __m128i k__cospi_p14_p18 = pair_set_epi16(cospi_14_64, cospi_18_64);
   1758   const __m128i k__cospi_m02_p30 = pair_set_epi16(-cospi_2_64, cospi_30_64);
   1759   const __m128i k__cospi_m18_p14 = pair_set_epi16(-cospi_18_64, cospi_14_64);
   1760   const __m128i k__cospi_p22_p10 = pair_set_epi16(cospi_22_64, cospi_10_64);
   1761   const __m128i k__cospi_p06_p26 = pair_set_epi16(cospi_6_64, cospi_26_64);
   1762   const __m128i k__cospi_m10_p22 = pair_set_epi16(-cospi_10_64, cospi_22_64);
   1763   const __m128i k__cospi_m26_p06 = pair_set_epi16(-cospi_26_64, cospi_6_64);
   1764   const __m128i k__DCT_CONST_ROUNDING = _mm_set1_epi32(DCT_CONST_ROUNDING);
   1765 
   1766   // stage 1
   1767   i[0] = _mm_add_epi16(in[0], in[15]);
   1768   i[1] = _mm_add_epi16(in[1], in[14]);
   1769   i[2] = _mm_add_epi16(in[2], in[13]);
   1770   i[3] = _mm_add_epi16(in[3], in[12]);
   1771   i[4] = _mm_add_epi16(in[4], in[11]);
   1772   i[5] = _mm_add_epi16(in[5], in[10]);
   1773   i[6] = _mm_add_epi16(in[6], in[9]);
   1774   i[7] = _mm_add_epi16(in[7], in[8]);
   1775 
   1776   s[0] = _mm_sub_epi16(in[7], in[8]);
   1777   s[1] = _mm_sub_epi16(in[6], in[9]);
   1778   s[2] = _mm_sub_epi16(in[5], in[10]);
   1779   s[3] = _mm_sub_epi16(in[4], in[11]);
   1780   s[4] = _mm_sub_epi16(in[3], in[12]);
   1781   s[5] = _mm_sub_epi16(in[2], in[13]);
   1782   s[6] = _mm_sub_epi16(in[1], in[14]);
   1783   s[7] = _mm_sub_epi16(in[0], in[15]);
   1784 
   1785   p[0] = _mm_add_epi16(i[0], i[7]);
   1786   p[1] = _mm_add_epi16(i[1], i[6]);
   1787   p[2] = _mm_add_epi16(i[2], i[5]);
   1788   p[3] = _mm_add_epi16(i[3], i[4]);
   1789   p[4] = _mm_sub_epi16(i[3], i[4]);
   1790   p[5] = _mm_sub_epi16(i[2], i[5]);
   1791   p[6] = _mm_sub_epi16(i[1], i[6]);
   1792   p[7] = _mm_sub_epi16(i[0], i[7]);
   1793 
   1794   u[0] = _mm_add_epi16(p[0], p[3]);
   1795   u[1] = _mm_add_epi16(p[1], p[2]);
   1796   u[2] = _mm_sub_epi16(p[1], p[2]);
   1797   u[3] = _mm_sub_epi16(p[0], p[3]);
   1798 
   1799   v[0] = _mm_unpacklo_epi16(u[0], u[1]);
   1800   v[1] = _mm_unpackhi_epi16(u[0], u[1]);
   1801   v[2] = _mm_unpacklo_epi16(u[2], u[3]);
   1802   v[3] = _mm_unpackhi_epi16(u[2], u[3]);
   1803 
   1804   u[0] = _mm_madd_epi16(v[0], k__cospi_p16_p16);
   1805   u[1] = _mm_madd_epi16(v[1], k__cospi_p16_p16);
   1806   u[2] = _mm_madd_epi16(v[0], k__cospi_p16_m16);
   1807   u[3] = _mm_madd_epi16(v[1], k__cospi_p16_m16);
   1808   u[4] = _mm_madd_epi16(v[2], k__cospi_p24_p08);
   1809   u[5] = _mm_madd_epi16(v[3], k__cospi_p24_p08);
   1810   u[6] = _mm_madd_epi16(v[2], k__cospi_m08_p24);
   1811   u[7] = _mm_madd_epi16(v[3], k__cospi_m08_p24);
   1812 
   1813   v[0] = _mm_add_epi32(u[0], k__DCT_CONST_ROUNDING);
   1814   v[1] = _mm_add_epi32(u[1], k__DCT_CONST_ROUNDING);
   1815   v[2] = _mm_add_epi32(u[2], k__DCT_CONST_ROUNDING);
   1816   v[3] = _mm_add_epi32(u[3], k__DCT_CONST_ROUNDING);
   1817   v[4] = _mm_add_epi32(u[4], k__DCT_CONST_ROUNDING);
   1818   v[5] = _mm_add_epi32(u[5], k__DCT_CONST_ROUNDING);
   1819   v[6] = _mm_add_epi32(u[6], k__DCT_CONST_ROUNDING);
   1820   v[7] = _mm_add_epi32(u[7], k__DCT_CONST_ROUNDING);
   1821 
   1822   u[0] = _mm_srai_epi32(v[0], DCT_CONST_BITS);
   1823   u[1] = _mm_srai_epi32(v[1], DCT_CONST_BITS);
   1824   u[2] = _mm_srai_epi32(v[2], DCT_CONST_BITS);
   1825   u[3] = _mm_srai_epi32(v[3], DCT_CONST_BITS);
   1826   u[4] = _mm_srai_epi32(v[4], DCT_CONST_BITS);
   1827   u[5] = _mm_srai_epi32(v[5], DCT_CONST_BITS);
   1828   u[6] = _mm_srai_epi32(v[6], DCT_CONST_BITS);
   1829   u[7] = _mm_srai_epi32(v[7], DCT_CONST_BITS);
   1830 
   1831   in[0] = _mm_packs_epi32(u[0], u[1]);
   1832   in[4] = _mm_packs_epi32(u[4], u[5]);
   1833   in[8] = _mm_packs_epi32(u[2], u[3]);
   1834   in[12] = _mm_packs_epi32(u[6], u[7]);
   1835 
   1836   u[0] = _mm_unpacklo_epi16(p[5], p[6]);
   1837   u[1] = _mm_unpackhi_epi16(p[5], p[6]);
   1838   v[0] = _mm_madd_epi16(u[0], k__cospi_m16_p16);
   1839   v[1] = _mm_madd_epi16(u[1], k__cospi_m16_p16);
   1840   v[2] = _mm_madd_epi16(u[0], k__cospi_p16_p16);
   1841   v[3] = _mm_madd_epi16(u[1], k__cospi_p16_p16);
   1842 
   1843   u[0] = _mm_add_epi32(v[0], k__DCT_CONST_ROUNDING);
   1844   u[1] = _mm_add_epi32(v[1], k__DCT_CONST_ROUNDING);
   1845   u[2] = _mm_add_epi32(v[2], k__DCT_CONST_ROUNDING);
   1846   u[3] = _mm_add_epi32(v[3], k__DCT_CONST_ROUNDING);
   1847 
   1848   v[0] = _mm_srai_epi32(u[0], DCT_CONST_BITS);
   1849   v[1] = _mm_srai_epi32(u[1], DCT_CONST_BITS);
   1850   v[2] = _mm_srai_epi32(u[2], DCT_CONST_BITS);
   1851   v[3] = _mm_srai_epi32(u[3], DCT_CONST_BITS);
   1852 
   1853   u[0] = _mm_packs_epi32(v[0], v[1]);
   1854   u[1] = _mm_packs_epi32(v[2], v[3]);
   1855 
   1856   t[0] = _mm_add_epi16(p[4], u[0]);
   1857   t[1] = _mm_sub_epi16(p[4], u[0]);
   1858   t[2] = _mm_sub_epi16(p[7], u[1]);
   1859   t[3] = _mm_add_epi16(p[7], u[1]);
   1860 
   1861   u[0] = _mm_unpacklo_epi16(t[0], t[3]);
   1862   u[1] = _mm_unpackhi_epi16(t[0], t[3]);
   1863   u[2] = _mm_unpacklo_epi16(t[1], t[2]);
   1864   u[3] = _mm_unpackhi_epi16(t[1], t[2]);
   1865 
   1866   v[0] = _mm_madd_epi16(u[0], k__cospi_p28_p04);
   1867   v[1] = _mm_madd_epi16(u[1], k__cospi_p28_p04);
   1868   v[2] = _mm_madd_epi16(u[2], k__cospi_p12_p20);
   1869   v[3] = _mm_madd_epi16(u[3], k__cospi_p12_p20);
   1870   v[4] = _mm_madd_epi16(u[2], k__cospi_m20_p12);
   1871   v[5] = _mm_madd_epi16(u[3], k__cospi_m20_p12);
   1872   v[6] = _mm_madd_epi16(u[0], k__cospi_m04_p28);
   1873   v[7] = _mm_madd_epi16(u[1], k__cospi_m04_p28);
   1874 
   1875   u[0] = _mm_add_epi32(v[0], k__DCT_CONST_ROUNDING);
   1876   u[1] = _mm_add_epi32(v[1], k__DCT_CONST_ROUNDING);
   1877   u[2] = _mm_add_epi32(v[2], k__DCT_CONST_ROUNDING);
   1878   u[3] = _mm_add_epi32(v[3], k__DCT_CONST_ROUNDING);
   1879   u[4] = _mm_add_epi32(v[4], k__DCT_CONST_ROUNDING);
   1880   u[5] = _mm_add_epi32(v[5], k__DCT_CONST_ROUNDING);
   1881   u[6] = _mm_add_epi32(v[6], k__DCT_CONST_ROUNDING);
   1882   u[7] = _mm_add_epi32(v[7], k__DCT_CONST_ROUNDING);
   1883 
   1884   v[0] = _mm_srai_epi32(u[0], DCT_CONST_BITS);
   1885   v[1] = _mm_srai_epi32(u[1], DCT_CONST_BITS);
   1886   v[2] = _mm_srai_epi32(u[2], DCT_CONST_BITS);
   1887   v[3] = _mm_srai_epi32(u[3], DCT_CONST_BITS);
   1888   v[4] = _mm_srai_epi32(u[4], DCT_CONST_BITS);
   1889   v[5] = _mm_srai_epi32(u[5], DCT_CONST_BITS);
   1890   v[6] = _mm_srai_epi32(u[6], DCT_CONST_BITS);
   1891   v[7] = _mm_srai_epi32(u[7], DCT_CONST_BITS);
   1892 
   1893   in[2] = _mm_packs_epi32(v[0], v[1]);
   1894   in[6] = _mm_packs_epi32(v[4], v[5]);
   1895   in[10] = _mm_packs_epi32(v[2], v[3]);
   1896   in[14] = _mm_packs_epi32(v[6], v[7]);
   1897 
   1898   // stage 2
   1899   u[0] = _mm_unpacklo_epi16(s[2], s[5]);
   1900   u[1] = _mm_unpackhi_epi16(s[2], s[5]);
   1901   u[2] = _mm_unpacklo_epi16(s[3], s[4]);
   1902   u[3] = _mm_unpackhi_epi16(s[3], s[4]);
   1903 
   1904   v[0] = _mm_madd_epi16(u[0], k__cospi_m16_p16);
   1905   v[1] = _mm_madd_epi16(u[1], k__cospi_m16_p16);
   1906   v[2] = _mm_madd_epi16(u[2], k__cospi_m16_p16);
   1907   v[3] = _mm_madd_epi16(u[3], k__cospi_m16_p16);
   1908   v[4] = _mm_madd_epi16(u[2], k__cospi_p16_p16);
   1909   v[5] = _mm_madd_epi16(u[3], k__cospi_p16_p16);
   1910   v[6] = _mm_madd_epi16(u[0], k__cospi_p16_p16);
   1911   v[7] = _mm_madd_epi16(u[1], k__cospi_p16_p16);
   1912 
   1913   u[0] = _mm_add_epi32(v[0], k__DCT_CONST_ROUNDING);
   1914   u[1] = _mm_add_epi32(v[1], k__DCT_CONST_ROUNDING);
   1915   u[2] = _mm_add_epi32(v[2], k__DCT_CONST_ROUNDING);
   1916   u[3] = _mm_add_epi32(v[3], k__DCT_CONST_ROUNDING);
   1917   u[4] = _mm_add_epi32(v[4], k__DCT_CONST_ROUNDING);
   1918   u[5] = _mm_add_epi32(v[5], k__DCT_CONST_ROUNDING);
   1919   u[6] = _mm_add_epi32(v[6], k__DCT_CONST_ROUNDING);
   1920   u[7] = _mm_add_epi32(v[7], k__DCT_CONST_ROUNDING);
   1921 
   1922   v[0] = _mm_srai_epi32(u[0], DCT_CONST_BITS);
   1923   v[1] = _mm_srai_epi32(u[1], DCT_CONST_BITS);
   1924   v[2] = _mm_srai_epi32(u[2], DCT_CONST_BITS);
   1925   v[3] = _mm_srai_epi32(u[3], DCT_CONST_BITS);
   1926   v[4] = _mm_srai_epi32(u[4], DCT_CONST_BITS);
   1927   v[5] = _mm_srai_epi32(u[5], DCT_CONST_BITS);
   1928   v[6] = _mm_srai_epi32(u[6], DCT_CONST_BITS);
   1929   v[7] = _mm_srai_epi32(u[7], DCT_CONST_BITS);
   1930 
   1931   t[2] = _mm_packs_epi32(v[0], v[1]);
   1932   t[3] = _mm_packs_epi32(v[2], v[3]);
   1933   t[4] = _mm_packs_epi32(v[4], v[5]);
   1934   t[5] = _mm_packs_epi32(v[6], v[7]);
   1935 
   1936   // stage 3
   1937   p[0] = _mm_add_epi16(s[0], t[3]);
   1938   p[1] = _mm_add_epi16(s[1], t[2]);
   1939   p[2] = _mm_sub_epi16(s[1], t[2]);
   1940   p[3] = _mm_sub_epi16(s[0], t[3]);
   1941   p[4] = _mm_sub_epi16(s[7], t[4]);
   1942   p[5] = _mm_sub_epi16(s[6], t[5]);
   1943   p[6] = _mm_add_epi16(s[6], t[5]);
   1944   p[7] = _mm_add_epi16(s[7], t[4]);
   1945 
   1946   // stage 4
   1947   u[0] = _mm_unpacklo_epi16(p[1], p[6]);
   1948   u[1] = _mm_unpackhi_epi16(p[1], p[6]);
   1949   u[2] = _mm_unpacklo_epi16(p[2], p[5]);
   1950   u[3] = _mm_unpackhi_epi16(p[2], p[5]);
   1951 
   1952   v[0] = _mm_madd_epi16(u[0], k__cospi_m08_p24);
   1953   v[1] = _mm_madd_epi16(u[1], k__cospi_m08_p24);
   1954   v[2] = _mm_madd_epi16(u[2], k__cospi_m24_m08);
   1955   v[3] = _mm_madd_epi16(u[3], k__cospi_m24_m08);
   1956   v[4] = _mm_madd_epi16(u[2], k__cospi_m08_p24);
   1957   v[5] = _mm_madd_epi16(u[3], k__cospi_m08_p24);
   1958   v[6] = _mm_madd_epi16(u[0], k__cospi_p24_p08);
   1959   v[7] = _mm_madd_epi16(u[1], k__cospi_p24_p08);
   1960 
   1961   u[0] = _mm_add_epi32(v[0], k__DCT_CONST_ROUNDING);
   1962   u[1] = _mm_add_epi32(v[1], k__DCT_CONST_ROUNDING);
   1963   u[2] = _mm_add_epi32(v[2], k__DCT_CONST_ROUNDING);
   1964   u[3] = _mm_add_epi32(v[3], k__DCT_CONST_ROUNDING);
   1965   u[4] = _mm_add_epi32(v[4], k__DCT_CONST_ROUNDING);
   1966   u[5] = _mm_add_epi32(v[5], k__DCT_CONST_ROUNDING);
   1967   u[6] = _mm_add_epi32(v[6], k__DCT_CONST_ROUNDING);
   1968   u[7] = _mm_add_epi32(v[7], k__DCT_CONST_ROUNDING);
   1969 
   1970   v[0] = _mm_srai_epi32(u[0], DCT_CONST_BITS);
   1971   v[1] = _mm_srai_epi32(u[1], DCT_CONST_BITS);
   1972   v[2] = _mm_srai_epi32(u[2], DCT_CONST_BITS);
   1973   v[3] = _mm_srai_epi32(u[3], DCT_CONST_BITS);
   1974   v[4] = _mm_srai_epi32(u[4], DCT_CONST_BITS);
   1975   v[5] = _mm_srai_epi32(u[5], DCT_CONST_BITS);
   1976   v[6] = _mm_srai_epi32(u[6], DCT_CONST_BITS);
   1977   v[7] = _mm_srai_epi32(u[7], DCT_CONST_BITS);
   1978 
   1979   t[1] = _mm_packs_epi32(v[0], v[1]);
   1980   t[2] = _mm_packs_epi32(v[2], v[3]);
   1981   t[5] = _mm_packs_epi32(v[4], v[5]);
   1982   t[6] = _mm_packs_epi32(v[6], v[7]);
   1983 
   1984   // stage 5
   1985   s[0] = _mm_add_epi16(p[0], t[1]);
   1986   s[1] = _mm_sub_epi16(p[0], t[1]);
   1987   s[2] = _mm_sub_epi16(p[3], t[2]);
   1988   s[3] = _mm_add_epi16(p[3], t[2]);
   1989   s[4] = _mm_add_epi16(p[4], t[5]);
   1990   s[5] = _mm_sub_epi16(p[4], t[5]);
   1991   s[6] = _mm_sub_epi16(p[7], t[6]);
   1992   s[7] = _mm_add_epi16(p[7], t[6]);
   1993 
   1994   // stage 6
   1995   u[0] = _mm_unpacklo_epi16(s[0], s[7]);
   1996   u[1] = _mm_unpackhi_epi16(s[0], s[7]);
   1997   u[2] = _mm_unpacklo_epi16(s[1], s[6]);
   1998   u[3] = _mm_unpackhi_epi16(s[1], s[6]);
   1999   u[4] = _mm_unpacklo_epi16(s[2], s[5]);
   2000   u[5] = _mm_unpackhi_epi16(s[2], s[5]);
   2001   u[6] = _mm_unpacklo_epi16(s[3], s[4]);
   2002   u[7] = _mm_unpackhi_epi16(s[3], s[4]);
   2003 
   2004   v[0] = _mm_madd_epi16(u[0], k__cospi_p30_p02);
   2005   v[1] = _mm_madd_epi16(u[1], k__cospi_p30_p02);
   2006   v[2] = _mm_madd_epi16(u[2], k__cospi_p14_p18);
   2007   v[3] = _mm_madd_epi16(u[3], k__cospi_p14_p18);
   2008   v[4] = _mm_madd_epi16(u[4], k__cospi_p22_p10);
   2009   v[5] = _mm_madd_epi16(u[5], k__cospi_p22_p10);
   2010   v[6] = _mm_madd_epi16(u[6], k__cospi_p06_p26);
   2011   v[7] = _mm_madd_epi16(u[7], k__cospi_p06_p26);
   2012   v[8] = _mm_madd_epi16(u[6], k__cospi_m26_p06);
   2013   v[9] = _mm_madd_epi16(u[7], k__cospi_m26_p06);
   2014   v[10] = _mm_madd_epi16(u[4], k__cospi_m10_p22);
   2015   v[11] = _mm_madd_epi16(u[5], k__cospi_m10_p22);
   2016   v[12] = _mm_madd_epi16(u[2], k__cospi_m18_p14);
   2017   v[13] = _mm_madd_epi16(u[3], k__cospi_m18_p14);
   2018   v[14] = _mm_madd_epi16(u[0], k__cospi_m02_p30);
   2019   v[15] = _mm_madd_epi16(u[1], k__cospi_m02_p30);
   2020 
   2021   u[0] = _mm_add_epi32(v[0], k__DCT_CONST_ROUNDING);
   2022   u[1] = _mm_add_epi32(v[1], k__DCT_CONST_ROUNDING);
   2023   u[2] = _mm_add_epi32(v[2], k__DCT_CONST_ROUNDING);
   2024   u[3] = _mm_add_epi32(v[3], k__DCT_CONST_ROUNDING);
   2025   u[4] = _mm_add_epi32(v[4], k__DCT_CONST_ROUNDING);
   2026   u[5] = _mm_add_epi32(v[5], k__DCT_CONST_ROUNDING);
   2027   u[6] = _mm_add_epi32(v[6], k__DCT_CONST_ROUNDING);
   2028   u[7] = _mm_add_epi32(v[7], k__DCT_CONST_ROUNDING);
   2029   u[8] = _mm_add_epi32(v[8], k__DCT_CONST_ROUNDING);
   2030   u[9] = _mm_add_epi32(v[9], k__DCT_CONST_ROUNDING);
   2031   u[10] = _mm_add_epi32(v[10], k__DCT_CONST_ROUNDING);
   2032   u[11] = _mm_add_epi32(v[11], k__DCT_CONST_ROUNDING);
   2033   u[12] = _mm_add_epi32(v[12], k__DCT_CONST_ROUNDING);
   2034   u[13] = _mm_add_epi32(v[13], k__DCT_CONST_ROUNDING);
   2035   u[14] = _mm_add_epi32(v[14], k__DCT_CONST_ROUNDING);
   2036   u[15] = _mm_add_epi32(v[15], k__DCT_CONST_ROUNDING);
   2037 
   2038   v[0] = _mm_srai_epi32(u[0], DCT_CONST_BITS);
   2039   v[1] = _mm_srai_epi32(u[1], DCT_CONST_BITS);
   2040   v[2] = _mm_srai_epi32(u[2], DCT_CONST_BITS);
   2041   v[3] = _mm_srai_epi32(u[3], DCT_CONST_BITS);
   2042   v[4] = _mm_srai_epi32(u[4], DCT_CONST_BITS);
   2043   v[5] = _mm_srai_epi32(u[5], DCT_CONST_BITS);
   2044   v[6] = _mm_srai_epi32(u[6], DCT_CONST_BITS);
   2045   v[7] = _mm_srai_epi32(u[7], DCT_CONST_BITS);
   2046   v[8] = _mm_srai_epi32(u[8], DCT_CONST_BITS);
   2047   v[9] = _mm_srai_epi32(u[9], DCT_CONST_BITS);
   2048   v[10] = _mm_srai_epi32(u[10], DCT_CONST_BITS);
   2049   v[11] = _mm_srai_epi32(u[11], DCT_CONST_BITS);
   2050   v[12] = _mm_srai_epi32(u[12], DCT_CONST_BITS);
   2051   v[13] = _mm_srai_epi32(u[13], DCT_CONST_BITS);
   2052   v[14] = _mm_srai_epi32(u[14], DCT_CONST_BITS);
   2053   v[15] = _mm_srai_epi32(u[15], DCT_CONST_BITS);
   2054 
   2055   in[1]  = _mm_packs_epi32(v[0], v[1]);
   2056   in[9]  = _mm_packs_epi32(v[2], v[3]);
   2057   in[5]  = _mm_packs_epi32(v[4], v[5]);
   2058   in[13] = _mm_packs_epi32(v[6], v[7]);
   2059   in[3]  = _mm_packs_epi32(v[8], v[9]);
   2060   in[11] = _mm_packs_epi32(v[10], v[11]);
   2061   in[7]  = _mm_packs_epi32(v[12], v[13]);
   2062   in[15] = _mm_packs_epi32(v[14], v[15]);
   2063 }
   2064 
   2065 void fadst16_8col_avx2(__m128i *in) {
   2066   // perform 16x16 1-D ADST for 8 columns
   2067   __m128i s[16], x[16], u[32], v[32];
   2068   const __m128i k__cospi_p01_p31 = pair_set_epi16(cospi_1_64, cospi_31_64);
   2069   const __m128i k__cospi_p31_m01 = pair_set_epi16(cospi_31_64, -cospi_1_64);
   2070   const __m128i k__cospi_p05_p27 = pair_set_epi16(cospi_5_64, cospi_27_64);
   2071   const __m128i k__cospi_p27_m05 = pair_set_epi16(cospi_27_64, -cospi_5_64);
   2072   const __m128i k__cospi_p09_p23 = pair_set_epi16(cospi_9_64, cospi_23_64);
   2073   const __m128i k__cospi_p23_m09 = pair_set_epi16(cospi_23_64, -cospi_9_64);
   2074   const __m128i k__cospi_p13_p19 = pair_set_epi16(cospi_13_64, cospi_19_64);
   2075   const __m128i k__cospi_p19_m13 = pair_set_epi16(cospi_19_64, -cospi_13_64);
   2076   const __m128i k__cospi_p17_p15 = pair_set_epi16(cospi_17_64, cospi_15_64);
   2077   const __m128i k__cospi_p15_m17 = pair_set_epi16(cospi_15_64, -cospi_17_64);
   2078   const __m128i k__cospi_p21_p11 = pair_set_epi16(cospi_21_64, cospi_11_64);
   2079   const __m128i k__cospi_p11_m21 = pair_set_epi16(cospi_11_64, -cospi_21_64);
   2080   const __m128i k__cospi_p25_p07 = pair_set_epi16(cospi_25_64, cospi_7_64);
   2081   const __m128i k__cospi_p07_m25 = pair_set_epi16(cospi_7_64, -cospi_25_64);
   2082   const __m128i k__cospi_p29_p03 = pair_set_epi16(cospi_29_64, cospi_3_64);
   2083   const __m128i k__cospi_p03_m29 = pair_set_epi16(cospi_3_64, -cospi_29_64);
   2084   const __m128i k__cospi_p04_p28 = pair_set_epi16(cospi_4_64, cospi_28_64);
   2085   const __m128i k__cospi_p28_m04 = pair_set_epi16(cospi_28_64, -cospi_4_64);
   2086   const __m128i k__cospi_p20_p12 = pair_set_epi16(cospi_20_64, cospi_12_64);
   2087   const __m128i k__cospi_p12_m20 = pair_set_epi16(cospi_12_64, -cospi_20_64);
   2088   const __m128i k__cospi_m28_p04 = pair_set_epi16(-cospi_28_64, cospi_4_64);
   2089   const __m128i k__cospi_m12_p20 = pair_set_epi16(-cospi_12_64, cospi_20_64);
   2090   const __m128i k__cospi_p08_p24 = pair_set_epi16(cospi_8_64, cospi_24_64);
   2091   const __m128i k__cospi_p24_m08 = pair_set_epi16(cospi_24_64, -cospi_8_64);
   2092   const __m128i k__cospi_m24_p08 = pair_set_epi16(-cospi_24_64, cospi_8_64);
   2093   const __m128i k__cospi_m16_m16 = _mm_set1_epi16(-cospi_16_64);
   2094   const __m128i k__cospi_p16_p16 = _mm_set1_epi16(cospi_16_64);
   2095   const __m128i k__cospi_p16_m16 = pair_set_epi16(cospi_16_64, -cospi_16_64);
   2096   const __m128i k__cospi_m16_p16 = pair_set_epi16(-cospi_16_64, cospi_16_64);
   2097   const __m128i k__DCT_CONST_ROUNDING = _mm_set1_epi32(DCT_CONST_ROUNDING);
   2098   const __m128i kZero = _mm_set1_epi16(0);
   2099 
   2100   u[0] = _mm_unpacklo_epi16(in[15], in[0]);
   2101   u[1] = _mm_unpackhi_epi16(in[15], in[0]);
   2102   u[2] = _mm_unpacklo_epi16(in[13], in[2]);
   2103   u[3] = _mm_unpackhi_epi16(in[13], in[2]);
   2104   u[4] = _mm_unpacklo_epi16(in[11], in[4]);
   2105   u[5] = _mm_unpackhi_epi16(in[11], in[4]);
   2106   u[6] = _mm_unpacklo_epi16(in[9], in[6]);
   2107   u[7] = _mm_unpackhi_epi16(in[9], in[6]);
   2108   u[8] = _mm_unpacklo_epi16(in[7], in[8]);
   2109   u[9] = _mm_unpackhi_epi16(in[7], in[8]);
   2110   u[10] = _mm_unpacklo_epi16(in[5], in[10]);
   2111   u[11] = _mm_unpackhi_epi16(in[5], in[10]);
   2112   u[12] = _mm_unpacklo_epi16(in[3], in[12]);
   2113   u[13] = _mm_unpackhi_epi16(in[3], in[12]);
   2114   u[14] = _mm_unpacklo_epi16(in[1], in[14]);
   2115   u[15] = _mm_unpackhi_epi16(in[1], in[14]);
   2116 
   2117   v[0] = _mm_madd_epi16(u[0], k__cospi_p01_p31);
   2118   v[1] = _mm_madd_epi16(u[1], k__cospi_p01_p31);
   2119   v[2] = _mm_madd_epi16(u[0], k__cospi_p31_m01);
   2120   v[3] = _mm_madd_epi16(u[1], k__cospi_p31_m01);
   2121   v[4] = _mm_madd_epi16(u[2], k__cospi_p05_p27);
   2122   v[5] = _mm_madd_epi16(u[3], k__cospi_p05_p27);
   2123   v[6] = _mm_madd_epi16(u[2], k__cospi_p27_m05);
   2124   v[7] = _mm_madd_epi16(u[3], k__cospi_p27_m05);
   2125   v[8] = _mm_madd_epi16(u[4], k__cospi_p09_p23);
   2126   v[9] = _mm_madd_epi16(u[5], k__cospi_p09_p23);
   2127   v[10] = _mm_madd_epi16(u[4], k__cospi_p23_m09);
   2128   v[11] = _mm_madd_epi16(u[5], k__cospi_p23_m09);
   2129   v[12] = _mm_madd_epi16(u[6], k__cospi_p13_p19);
   2130   v[13] = _mm_madd_epi16(u[7], k__cospi_p13_p19);
   2131   v[14] = _mm_madd_epi16(u[6], k__cospi_p19_m13);
   2132   v[15] = _mm_madd_epi16(u[7], k__cospi_p19_m13);
   2133   v[16] = _mm_madd_epi16(u[8], k__cospi_p17_p15);
   2134   v[17] = _mm_madd_epi16(u[9], k__cospi_p17_p15);
   2135   v[18] = _mm_madd_epi16(u[8], k__cospi_p15_m17);
   2136   v[19] = _mm_madd_epi16(u[9], k__cospi_p15_m17);
   2137   v[20] = _mm_madd_epi16(u[10], k__cospi_p21_p11);
   2138   v[21] = _mm_madd_epi16(u[11], k__cospi_p21_p11);
   2139   v[22] = _mm_madd_epi16(u[10], k__cospi_p11_m21);
   2140   v[23] = _mm_madd_epi16(u[11], k__cospi_p11_m21);
   2141   v[24] = _mm_madd_epi16(u[12], k__cospi_p25_p07);
   2142   v[25] = _mm_madd_epi16(u[13], k__cospi_p25_p07);
   2143   v[26] = _mm_madd_epi16(u[12], k__cospi_p07_m25);
   2144   v[27] = _mm_madd_epi16(u[13], k__cospi_p07_m25);
   2145   v[28] = _mm_madd_epi16(u[14], k__cospi_p29_p03);
   2146   v[29] = _mm_madd_epi16(u[15], k__cospi_p29_p03);
   2147   v[30] = _mm_madd_epi16(u[14], k__cospi_p03_m29);
   2148   v[31] = _mm_madd_epi16(u[15], k__cospi_p03_m29);
   2149 
   2150   u[0] = _mm_add_epi32(v[0], v[16]);
   2151   u[1] = _mm_add_epi32(v[1], v[17]);
   2152   u[2] = _mm_add_epi32(v[2], v[18]);
   2153   u[3] = _mm_add_epi32(v[3], v[19]);
   2154   u[4] = _mm_add_epi32(v[4], v[20]);
   2155   u[5] = _mm_add_epi32(v[5], v[21]);
   2156   u[6] = _mm_add_epi32(v[6], v[22]);
   2157   u[7] = _mm_add_epi32(v[7], v[23]);
   2158   u[8] = _mm_add_epi32(v[8], v[24]);
   2159   u[9] = _mm_add_epi32(v[9], v[25]);
   2160   u[10] = _mm_add_epi32(v[10], v[26]);
   2161   u[11] = _mm_add_epi32(v[11], v[27]);
   2162   u[12] = _mm_add_epi32(v[12], v[28]);
   2163   u[13] = _mm_add_epi32(v[13], v[29]);
   2164   u[14] = _mm_add_epi32(v[14], v[30]);
   2165   u[15] = _mm_add_epi32(v[15], v[31]);
   2166   u[16] = _mm_sub_epi32(v[0], v[16]);
   2167   u[17] = _mm_sub_epi32(v[1], v[17]);
   2168   u[18] = _mm_sub_epi32(v[2], v[18]);
   2169   u[19] = _mm_sub_epi32(v[3], v[19]);
   2170   u[20] = _mm_sub_epi32(v[4], v[20]);
   2171   u[21] = _mm_sub_epi32(v[5], v[21]);
   2172   u[22] = _mm_sub_epi32(v[6], v[22]);
   2173   u[23] = _mm_sub_epi32(v[7], v[23]);
   2174   u[24] = _mm_sub_epi32(v[8], v[24]);
   2175   u[25] = _mm_sub_epi32(v[9], v[25]);
   2176   u[26] = _mm_sub_epi32(v[10], v[26]);
   2177   u[27] = _mm_sub_epi32(v[11], v[27]);
   2178   u[28] = _mm_sub_epi32(v[12], v[28]);
   2179   u[29] = _mm_sub_epi32(v[13], v[29]);
   2180   u[30] = _mm_sub_epi32(v[14], v[30]);
   2181   u[31] = _mm_sub_epi32(v[15], v[31]);
   2182 
   2183   v[0] = _mm_add_epi32(u[0], k__DCT_CONST_ROUNDING);
   2184   v[1] = _mm_add_epi32(u[1], k__DCT_CONST_ROUNDING);
   2185   v[2] = _mm_add_epi32(u[2], k__DCT_CONST_ROUNDING);
   2186   v[3] = _mm_add_epi32(u[3], k__DCT_CONST_ROUNDING);
   2187   v[4] = _mm_add_epi32(u[4], k__DCT_CONST_ROUNDING);
   2188   v[5] = _mm_add_epi32(u[5], k__DCT_CONST_ROUNDING);
   2189   v[6] = _mm_add_epi32(u[6], k__DCT_CONST_ROUNDING);
   2190   v[7] = _mm_add_epi32(u[7], k__DCT_CONST_ROUNDING);
   2191   v[8] = _mm_add_epi32(u[8], k__DCT_CONST_ROUNDING);
   2192   v[9] = _mm_add_epi32(u[9], k__DCT_CONST_ROUNDING);
   2193   v[10] = _mm_add_epi32(u[10], k__DCT_CONST_ROUNDING);
   2194   v[11] = _mm_add_epi32(u[11], k__DCT_CONST_ROUNDING);
   2195   v[12] = _mm_add_epi32(u[12], k__DCT_CONST_ROUNDING);
   2196   v[13] = _mm_add_epi32(u[13], k__DCT_CONST_ROUNDING);
   2197   v[14] = _mm_add_epi32(u[14], k__DCT_CONST_ROUNDING);
   2198   v[15] = _mm_add_epi32(u[15], k__DCT_CONST_ROUNDING);
   2199   v[16] = _mm_add_epi32(u[16], k__DCT_CONST_ROUNDING);
   2200   v[17] = _mm_add_epi32(u[17], k__DCT_CONST_ROUNDING);
   2201   v[18] = _mm_add_epi32(u[18], k__DCT_CONST_ROUNDING);
   2202   v[19] = _mm_add_epi32(u[19], k__DCT_CONST_ROUNDING);
   2203   v[20] = _mm_add_epi32(u[20], k__DCT_CONST_ROUNDING);
   2204   v[21] = _mm_add_epi32(u[21], k__DCT_CONST_ROUNDING);
   2205   v[22] = _mm_add_epi32(u[22], k__DCT_CONST_ROUNDING);
   2206   v[23] = _mm_add_epi32(u[23], k__DCT_CONST_ROUNDING);
   2207   v[24] = _mm_add_epi32(u[24], k__DCT_CONST_ROUNDING);
   2208   v[25] = _mm_add_epi32(u[25], k__DCT_CONST_ROUNDING);
   2209   v[26] = _mm_add_epi32(u[26], k__DCT_CONST_ROUNDING);
   2210   v[27] = _mm_add_epi32(u[27], k__DCT_CONST_ROUNDING);
   2211   v[28] = _mm_add_epi32(u[28], k__DCT_CONST_ROUNDING);
   2212   v[29] = _mm_add_epi32(u[29], k__DCT_CONST_ROUNDING);
   2213   v[30] = _mm_add_epi32(u[30], k__DCT_CONST_ROUNDING);
   2214   v[31] = _mm_add_epi32(u[31], k__DCT_CONST_ROUNDING);
   2215 
   2216   u[0] = _mm_srai_epi32(v[0], DCT_CONST_BITS);
   2217   u[1] = _mm_srai_epi32(v[1], DCT_CONST_BITS);
   2218   u[2] = _mm_srai_epi32(v[2], DCT_CONST_BITS);
   2219   u[3] = _mm_srai_epi32(v[3], DCT_CONST_BITS);
   2220   u[4] = _mm_srai_epi32(v[4], DCT_CONST_BITS);
   2221   u[5] = _mm_srai_epi32(v[5], DCT_CONST_BITS);
   2222   u[6] = _mm_srai_epi32(v[6], DCT_CONST_BITS);
   2223   u[7] = _mm_srai_epi32(v[7], DCT_CONST_BITS);
   2224   u[8] = _mm_srai_epi32(v[8], DCT_CONST_BITS);
   2225   u[9] = _mm_srai_epi32(v[9], DCT_CONST_BITS);
   2226   u[10] = _mm_srai_epi32(v[10], DCT_CONST_BITS);
   2227   u[11] = _mm_srai_epi32(v[11], DCT_CONST_BITS);
   2228   u[12] = _mm_srai_epi32(v[12], DCT_CONST_BITS);
   2229   u[13] = _mm_srai_epi32(v[13], DCT_CONST_BITS);
   2230   u[14] = _mm_srai_epi32(v[14], DCT_CONST_BITS);
   2231   u[15] = _mm_srai_epi32(v[15], DCT_CONST_BITS);
   2232   u[16] = _mm_srai_epi32(v[16], DCT_CONST_BITS);
   2233   u[17] = _mm_srai_epi32(v[17], DCT_CONST_BITS);
   2234   u[18] = _mm_srai_epi32(v[18], DCT_CONST_BITS);
   2235   u[19] = _mm_srai_epi32(v[19], DCT_CONST_BITS);
   2236   u[20] = _mm_srai_epi32(v[20], DCT_CONST_BITS);
   2237   u[21] = _mm_srai_epi32(v[21], DCT_CONST_BITS);
   2238   u[22] = _mm_srai_epi32(v[22], DCT_CONST_BITS);
   2239   u[23] = _mm_srai_epi32(v[23], DCT_CONST_BITS);
   2240   u[24] = _mm_srai_epi32(v[24], DCT_CONST_BITS);
   2241   u[25] = _mm_srai_epi32(v[25], DCT_CONST_BITS);
   2242   u[26] = _mm_srai_epi32(v[26], DCT_CONST_BITS);
   2243   u[27] = _mm_srai_epi32(v[27], DCT_CONST_BITS);
   2244   u[28] = _mm_srai_epi32(v[28], DCT_CONST_BITS);
   2245   u[29] = _mm_srai_epi32(v[29], DCT_CONST_BITS);
   2246   u[30] = _mm_srai_epi32(v[30], DCT_CONST_BITS);
   2247   u[31] = _mm_srai_epi32(v[31], DCT_CONST_BITS);
   2248 
   2249   s[0] = _mm_packs_epi32(u[0], u[1]);
   2250   s[1] = _mm_packs_epi32(u[2], u[3]);
   2251   s[2] = _mm_packs_epi32(u[4], u[5]);
   2252   s[3] = _mm_packs_epi32(u[6], u[7]);
   2253   s[4] = _mm_packs_epi32(u[8], u[9]);
   2254   s[5] = _mm_packs_epi32(u[10], u[11]);
   2255   s[6] = _mm_packs_epi32(u[12], u[13]);
   2256   s[7] = _mm_packs_epi32(u[14], u[15]);
   2257   s[8] = _mm_packs_epi32(u[16], u[17]);
   2258   s[9] = _mm_packs_epi32(u[18], u[19]);
   2259   s[10] = _mm_packs_epi32(u[20], u[21]);
   2260   s[11] = _mm_packs_epi32(u[22], u[23]);
   2261   s[12] = _mm_packs_epi32(u[24], u[25]);
   2262   s[13] = _mm_packs_epi32(u[26], u[27]);
   2263   s[14] = _mm_packs_epi32(u[28], u[29]);
   2264   s[15] = _mm_packs_epi32(u[30], u[31]);
   2265 
   2266   // stage 2
   2267   u[0] = _mm_unpacklo_epi16(s[8], s[9]);
   2268   u[1] = _mm_unpackhi_epi16(s[8], s[9]);
   2269   u[2] = _mm_unpacklo_epi16(s[10], s[11]);
   2270   u[3] = _mm_unpackhi_epi16(s[10], s[11]);
   2271   u[4] = _mm_unpacklo_epi16(s[12], s[13]);
   2272   u[5] = _mm_unpackhi_epi16(s[12], s[13]);
   2273   u[6] = _mm_unpacklo_epi16(s[14], s[15]);
   2274   u[7] = _mm_unpackhi_epi16(s[14], s[15]);
   2275 
   2276   v[0] = _mm_madd_epi16(u[0], k__cospi_p04_p28);
   2277   v[1] = _mm_madd_epi16(u[1], k__cospi_p04_p28);
   2278   v[2] = _mm_madd_epi16(u[0], k__cospi_p28_m04);
   2279   v[3] = _mm_madd_epi16(u[1], k__cospi_p28_m04);
   2280   v[4] = _mm_madd_epi16(u[2], k__cospi_p20_p12);
   2281   v[5] = _mm_madd_epi16(u[3], k__cospi_p20_p12);
   2282   v[6] = _mm_madd_epi16(u[2], k__cospi_p12_m20);
   2283   v[7] = _mm_madd_epi16(u[3], k__cospi_p12_m20);
   2284   v[8] = _mm_madd_epi16(u[4], k__cospi_m28_p04);
   2285   v[9] = _mm_madd_epi16(u[5], k__cospi_m28_p04);
   2286   v[10] = _mm_madd_epi16(u[4], k__cospi_p04_p28);
   2287   v[11] = _mm_madd_epi16(u[5], k__cospi_p04_p28);
   2288   v[12] = _mm_madd_epi16(u[6], k__cospi_m12_p20);
   2289   v[13] = _mm_madd_epi16(u[7], k__cospi_m12_p20);
   2290   v[14] = _mm_madd_epi16(u[6], k__cospi_p20_p12);
   2291   v[15] = _mm_madd_epi16(u[7], k__cospi_p20_p12);
   2292 
   2293   u[0] = _mm_add_epi32(v[0], v[8]);
   2294   u[1] = _mm_add_epi32(v[1], v[9]);
   2295   u[2] = _mm_add_epi32(v[2], v[10]);
   2296   u[3] = _mm_add_epi32(v[3], v[11]);
   2297   u[4] = _mm_add_epi32(v[4], v[12]);
   2298   u[5] = _mm_add_epi32(v[5], v[13]);
   2299   u[6] = _mm_add_epi32(v[6], v[14]);
   2300   u[7] = _mm_add_epi32(v[7], v[15]);
   2301   u[8] = _mm_sub_epi32(v[0], v[8]);
   2302   u[9] = _mm_sub_epi32(v[1], v[9]);
   2303   u[10] = _mm_sub_epi32(v[2], v[10]);
   2304   u[11] = _mm_sub_epi32(v[3], v[11]);
   2305   u[12] = _mm_sub_epi32(v[4], v[12]);
   2306   u[13] = _mm_sub_epi32(v[5], v[13]);
   2307   u[14] = _mm_sub_epi32(v[6], v[14]);
   2308   u[15] = _mm_sub_epi32(v[7], v[15]);
   2309 
   2310   v[0] = _mm_add_epi32(u[0], k__DCT_CONST_ROUNDING);
   2311   v[1] = _mm_add_epi32(u[1], k__DCT_CONST_ROUNDING);
   2312   v[2] = _mm_add_epi32(u[2], k__DCT_CONST_ROUNDING);
   2313   v[3] = _mm_add_epi32(u[3], k__DCT_CONST_ROUNDING);
   2314   v[4] = _mm_add_epi32(u[4], k__DCT_CONST_ROUNDING);
   2315   v[5] = _mm_add_epi32(u[5], k__DCT_CONST_ROUNDING);
   2316   v[6] = _mm_add_epi32(u[6], k__DCT_CONST_ROUNDING);
   2317   v[7] = _mm_add_epi32(u[7], k__DCT_CONST_ROUNDING);
   2318   v[8] = _mm_add_epi32(u[8], k__DCT_CONST_ROUNDING);
   2319   v[9] = _mm_add_epi32(u[9], k__DCT_CONST_ROUNDING);
   2320   v[10] = _mm_add_epi32(u[10], k__DCT_CONST_ROUNDING);
   2321   v[11] = _mm_add_epi32(u[11], k__DCT_CONST_ROUNDING);
   2322   v[12] = _mm_add_epi32(u[12], k__DCT_CONST_ROUNDING);
   2323   v[13] = _mm_add_epi32(u[13], k__DCT_CONST_ROUNDING);
   2324   v[14] = _mm_add_epi32(u[14], k__DCT_CONST_ROUNDING);
   2325   v[15] = _mm_add_epi32(u[15], k__DCT_CONST_ROUNDING);
   2326 
   2327   u[0] = _mm_srai_epi32(v[0], DCT_CONST_BITS);
   2328   u[1] = _mm_srai_epi32(v[1], DCT_CONST_BITS);
   2329   u[2] = _mm_srai_epi32(v[2], DCT_CONST_BITS);
   2330   u[3] = _mm_srai_epi32(v[3], DCT_CONST_BITS);
   2331   u[4] = _mm_srai_epi32(v[4], DCT_CONST_BITS);
   2332   u[5] = _mm_srai_epi32(v[5], DCT_CONST_BITS);
   2333   u[6] = _mm_srai_epi32(v[6], DCT_CONST_BITS);
   2334   u[7] = _mm_srai_epi32(v[7], DCT_CONST_BITS);
   2335   u[8] = _mm_srai_epi32(v[8], DCT_CONST_BITS);
   2336   u[9] = _mm_srai_epi32(v[9], DCT_CONST_BITS);
   2337   u[10] = _mm_srai_epi32(v[10], DCT_CONST_BITS);
   2338   u[11] = _mm_srai_epi32(v[11], DCT_CONST_BITS);
   2339   u[12] = _mm_srai_epi32(v[12], DCT_CONST_BITS);
   2340   u[13] = _mm_srai_epi32(v[13], DCT_CONST_BITS);
   2341   u[14] = _mm_srai_epi32(v[14], DCT_CONST_BITS);
   2342   u[15] = _mm_srai_epi32(v[15], DCT_CONST_BITS);
   2343 
   2344   x[0] = _mm_add_epi16(s[0], s[4]);
   2345   x[1] = _mm_add_epi16(s[1], s[5]);
   2346   x[2] = _mm_add_epi16(s[2], s[6]);
   2347   x[3] = _mm_add_epi16(s[3], s[7]);
   2348   x[4] = _mm_sub_epi16(s[0], s[4]);
   2349   x[5] = _mm_sub_epi16(s[1], s[5]);
   2350   x[6] = _mm_sub_epi16(s[2], s[6]);
   2351   x[7] = _mm_sub_epi16(s[3], s[7]);
   2352   x[8] = _mm_packs_epi32(u[0], u[1]);
   2353   x[9] = _mm_packs_epi32(u[2], u[3]);
   2354   x[10] = _mm_packs_epi32(u[4], u[5]);
   2355   x[11] = _mm_packs_epi32(u[6], u[7]);
   2356   x[12] = _mm_packs_epi32(u[8], u[9]);
   2357   x[13] = _mm_packs_epi32(u[10], u[11]);
   2358   x[14] = _mm_packs_epi32(u[12], u[13]);
   2359   x[15] = _mm_packs_epi32(u[14], u[15]);
   2360 
   2361   // stage 3
   2362   u[0] = _mm_unpacklo_epi16(x[4], x[5]);
   2363   u[1] = _mm_unpackhi_epi16(x[4], x[5]);
   2364   u[2] = _mm_unpacklo_epi16(x[6], x[7]);
   2365   u[3] = _mm_unpackhi_epi16(x[6], x[7]);
   2366   u[4] = _mm_unpacklo_epi16(x[12], x[13]);
   2367   u[5] = _mm_unpackhi_epi16(x[12], x[13]);
   2368   u[6] = _mm_unpacklo_epi16(x[14], x[15]);
   2369   u[7] = _mm_unpackhi_epi16(x[14], x[15]);
   2370 
   2371   v[0] = _mm_madd_epi16(u[0], k__cospi_p08_p24);
   2372   v[1] = _mm_madd_epi16(u[1], k__cospi_p08_p24);
   2373   v[2] = _mm_madd_epi16(u[0], k__cospi_p24_m08);
   2374   v[3] = _mm_madd_epi16(u[1], k__cospi_p24_m08);
   2375   v[4] = _mm_madd_epi16(u[2], k__cospi_m24_p08);
   2376   v[5] = _mm_madd_epi16(u[3], k__cospi_m24_p08);
   2377   v[6] = _mm_madd_epi16(u[2], k__cospi_p08_p24);
   2378   v[7] = _mm_madd_epi16(u[3], k__cospi_p08_p24);
   2379   v[8] = _mm_madd_epi16(u[4], k__cospi_p08_p24);
   2380   v[9] = _mm_madd_epi16(u[5], k__cospi_p08_p24);
   2381   v[10] = _mm_madd_epi16(u[4], k__cospi_p24_m08);
   2382   v[11] = _mm_madd_epi16(u[5], k__cospi_p24_m08);
   2383   v[12] = _mm_madd_epi16(u[6], k__cospi_m24_p08);
   2384   v[13] = _mm_madd_epi16(u[7], k__cospi_m24_p08);
   2385   v[14] = _mm_madd_epi16(u[6], k__cospi_p08_p24);
   2386   v[15] = _mm_madd_epi16(u[7], k__cospi_p08_p24);
   2387 
   2388   u[0] = _mm_add_epi32(v[0], v[4]);
   2389   u[1] = _mm_add_epi32(v[1], v[5]);
   2390   u[2] = _mm_add_epi32(v[2], v[6]);
   2391   u[3] = _mm_add_epi32(v[3], v[7]);
   2392   u[4] = _mm_sub_epi32(v[0], v[4]);
   2393   u[5] = _mm_sub_epi32(v[1], v[5]);
   2394   u[6] = _mm_sub_epi32(v[2], v[6]);
   2395   u[7] = _mm_sub_epi32(v[3], v[7]);
   2396   u[8] = _mm_add_epi32(v[8], v[12]);
   2397   u[9] = _mm_add_epi32(v[9], v[13]);
   2398   u[10] = _mm_add_epi32(v[10], v[14]);
   2399   u[11] = _mm_add_epi32(v[11], v[15]);
   2400   u[12] = _mm_sub_epi32(v[8], v[12]);
   2401   u[13] = _mm_sub_epi32(v[9], v[13]);
   2402   u[14] = _mm_sub_epi32(v[10], v[14]);
   2403   u[15] = _mm_sub_epi32(v[11], v[15]);
   2404 
   2405   u[0] = _mm_add_epi32(u[0], k__DCT_CONST_ROUNDING);
   2406   u[1] = _mm_add_epi32(u[1], k__DCT_CONST_ROUNDING);
   2407   u[2] = _mm_add_epi32(u[2], k__DCT_CONST_ROUNDING);
   2408   u[3] = _mm_add_epi32(u[3], k__DCT_CONST_ROUNDING);
   2409   u[4] = _mm_add_epi32(u[4], k__DCT_CONST_ROUNDING);
   2410   u[5] = _mm_add_epi32(u[5], k__DCT_CONST_ROUNDING);
   2411   u[6] = _mm_add_epi32(u[6], k__DCT_CONST_ROUNDING);
   2412   u[7] = _mm_add_epi32(u[7], k__DCT_CONST_ROUNDING);
   2413   u[8] = _mm_add_epi32(u[8], k__DCT_CONST_ROUNDING);
   2414   u[9] = _mm_add_epi32(u[9], k__DCT_CONST_ROUNDING);
   2415   u[10] = _mm_add_epi32(u[10], k__DCT_CONST_ROUNDING);
   2416   u[11] = _mm_add_epi32(u[11], k__DCT_CONST_ROUNDING);
   2417   u[12] = _mm_add_epi32(u[12], k__DCT_CONST_ROUNDING);
   2418   u[13] = _mm_add_epi32(u[13], k__DCT_CONST_ROUNDING);
   2419   u[14] = _mm_add_epi32(u[14], k__DCT_CONST_ROUNDING);
   2420   u[15] = _mm_add_epi32(u[15], k__DCT_CONST_ROUNDING);
   2421 
   2422   v[0] = _mm_srai_epi32(u[0], DCT_CONST_BITS);
   2423   v[1] = _mm_srai_epi32(u[1], DCT_CONST_BITS);
   2424   v[2] = _mm_srai_epi32(u[2], DCT_CONST_BITS);
   2425   v[3] = _mm_srai_epi32(u[3], DCT_CONST_BITS);
   2426   v[4] = _mm_srai_epi32(u[4], DCT_CONST_BITS);
   2427   v[5] = _mm_srai_epi32(u[5], DCT_CONST_BITS);
   2428   v[6] = _mm_srai_epi32(u[6], DCT_CONST_BITS);
   2429   v[7] = _mm_srai_epi32(u[7], DCT_CONST_BITS);
   2430   v[8] = _mm_srai_epi32(u[8], DCT_CONST_BITS);
   2431   v[9] = _mm_srai_epi32(u[9], DCT_CONST_BITS);
   2432   v[10] = _mm_srai_epi32(u[10], DCT_CONST_BITS);
   2433   v[11] = _mm_srai_epi32(u[11], DCT_CONST_BITS);
   2434   v[12] = _mm_srai_epi32(u[12], DCT_CONST_BITS);
   2435   v[13] = _mm_srai_epi32(u[13], DCT_CONST_BITS);
   2436   v[14] = _mm_srai_epi32(u[14], DCT_CONST_BITS);
   2437   v[15] = _mm_srai_epi32(u[15], DCT_CONST_BITS);
   2438 
   2439   s[0] = _mm_add_epi16(x[0], x[2]);
   2440   s[1] = _mm_add_epi16(x[1], x[3]);
   2441   s[2] = _mm_sub_epi16(x[0], x[2]);
   2442   s[3] = _mm_sub_epi16(x[1], x[3]);
   2443   s[4] = _mm_packs_epi32(v[0], v[1]);
   2444   s[5] = _mm_packs_epi32(v[2], v[3]);
   2445   s[6] = _mm_packs_epi32(v[4], v[5]);
   2446   s[7] = _mm_packs_epi32(v[6], v[7]);
   2447   s[8] = _mm_add_epi16(x[8], x[10]);
   2448   s[9] = _mm_add_epi16(x[9], x[11]);
   2449   s[10] = _mm_sub_epi16(x[8], x[10]);
   2450   s[11] = _mm_sub_epi16(x[9], x[11]);
   2451   s[12] = _mm_packs_epi32(v[8], v[9]);
   2452   s[13] = _mm_packs_epi32(v[10], v[11]);
   2453   s[14] = _mm_packs_epi32(v[12], v[13]);
   2454   s[15] = _mm_packs_epi32(v[14], v[15]);
   2455 
   2456   // stage 4
   2457   u[0] = _mm_unpacklo_epi16(s[2], s[3]);
   2458   u[1] = _mm_unpackhi_epi16(s[2], s[3]);
   2459   u[2] = _mm_unpacklo_epi16(s[6], s[7]);
   2460   u[3] = _mm_unpackhi_epi16(s[6], s[7]);
   2461   u[4] = _mm_unpacklo_epi16(s[10], s[11]);
   2462   u[5] = _mm_unpackhi_epi16(s[10], s[11]);
   2463   u[6] = _mm_unpacklo_epi16(s[14], s[15]);
   2464   u[7] = _mm_unpackhi_epi16(s[14], s[15]);
   2465 
   2466   v[0] = _mm_madd_epi16(u[0], k__cospi_m16_m16);
   2467   v[1] = _mm_madd_epi16(u[1], k__cospi_m16_m16);
   2468   v[2] = _mm_madd_epi16(u[0], k__cospi_p16_m16);
   2469   v[3] = _mm_madd_epi16(u[1], k__cospi_p16_m16);
   2470   v[4] = _mm_madd_epi16(u[2], k__cospi_p16_p16);
   2471   v[5] = _mm_madd_epi16(u[3], k__cospi_p16_p16);
   2472   v[6] = _mm_madd_epi16(u[2], k__cospi_m16_p16);
   2473   v[7] = _mm_madd_epi16(u[3], k__cospi_m16_p16);
   2474   v[8] = _mm_madd_epi16(u[4], k__cospi_p16_p16);
   2475   v[9] = _mm_madd_epi16(u[5], k__cospi_p16_p16);
   2476   v[10] = _mm_madd_epi16(u[4], k__cospi_m16_p16);
   2477   v[11] = _mm_madd_epi16(u[5], k__cospi_m16_p16);
   2478   v[12] = _mm_madd_epi16(u[6], k__cospi_m16_m16);
   2479   v[13] = _mm_madd_epi16(u[7], k__cospi_m16_m16);
   2480   v[14] = _mm_madd_epi16(u[6], k__cospi_p16_m16);
   2481   v[15] = _mm_madd_epi16(u[7], k__cospi_p16_m16);
   2482 
   2483   u[0] = _mm_add_epi32(v[0], k__DCT_CONST_ROUNDING);
   2484   u[1] = _mm_add_epi32(v[1], k__DCT_CONST_ROUNDING);
   2485   u[2] = _mm_add_epi32(v[2], k__DCT_CONST_ROUNDING);
   2486   u[3] = _mm_add_epi32(v[3], k__DCT_CONST_ROUNDING);
   2487   u[4] = _mm_add_epi32(v[4], k__DCT_CONST_ROUNDING);
   2488   u[5] = _mm_add_epi32(v[5], k__DCT_CONST_ROUNDING);
   2489   u[6] = _mm_add_epi32(v[6], k__DCT_CONST_ROUNDING);
   2490   u[7] = _mm_add_epi32(v[7], k__DCT_CONST_ROUNDING);
   2491   u[8] = _mm_add_epi32(v[8], k__DCT_CONST_ROUNDING);
   2492   u[9] = _mm_add_epi32(v[9], k__DCT_CONST_ROUNDING);
   2493   u[10] = _mm_add_epi32(v[10], k__DCT_CONST_ROUNDING);
   2494   u[11] = _mm_add_epi32(v[11], k__DCT_CONST_ROUNDING);
   2495   u[12] = _mm_add_epi32(v[12], k__DCT_CONST_ROUNDING);
   2496   u[13] = _mm_add_epi32(v[13], k__DCT_CONST_ROUNDING);
   2497   u[14] = _mm_add_epi32(v[14], k__DCT_CONST_ROUNDING);
   2498   u[15] = _mm_add_epi32(v[15], k__DCT_CONST_ROUNDING);
   2499 
   2500   v[0] = _mm_srai_epi32(u[0], DCT_CONST_BITS);
   2501   v[1] = _mm_srai_epi32(u[1], DCT_CONST_BITS);
   2502   v[2] = _mm_srai_epi32(u[2], DCT_CONST_BITS);
   2503   v[3] = _mm_srai_epi32(u[3], DCT_CONST_BITS);
   2504   v[4] = _mm_srai_epi32(u[4], DCT_CONST_BITS);
   2505   v[5] = _mm_srai_epi32(u[5], DCT_CONST_BITS);
   2506   v[6] = _mm_srai_epi32(u[6], DCT_CONST_BITS);
   2507   v[7] = _mm_srai_epi32(u[7], DCT_CONST_BITS);
   2508   v[8] = _mm_srai_epi32(u[8], DCT_CONST_BITS);
   2509   v[9] = _mm_srai_epi32(u[9], DCT_CONST_BITS);
   2510   v[10] = _mm_srai_epi32(u[10], DCT_CONST_BITS);
   2511   v[11] = _mm_srai_epi32(u[11], DCT_CONST_BITS);
   2512   v[12] = _mm_srai_epi32(u[12], DCT_CONST_BITS);
   2513   v[13] = _mm_srai_epi32(u[13], DCT_CONST_BITS);
   2514   v[14] = _mm_srai_epi32(u[14], DCT_CONST_BITS);
   2515   v[15] = _mm_srai_epi32(u[15], DCT_CONST_BITS);
   2516 
   2517   in[0] = s[0];
   2518   in[1] = _mm_sub_epi16(kZero, s[8]);
   2519   in[2] = s[12];
   2520   in[3] = _mm_sub_epi16(kZero, s[4]);
   2521   in[4] = _mm_packs_epi32(v[4], v[5]);
   2522   in[5] = _mm_packs_epi32(v[12], v[13]);
   2523   in[6] = _mm_packs_epi32(v[8], v[9]);
   2524   in[7] = _mm_packs_epi32(v[0], v[1]);
   2525   in[8] = _mm_packs_epi32(v[2], v[3]);
   2526   in[9] = _mm_packs_epi32(v[10], v[11]);
   2527   in[10] = _mm_packs_epi32(v[14], v[15]);
   2528   in[11] = _mm_packs_epi32(v[6], v[7]);
   2529   in[12] = s[5];
   2530   in[13] = _mm_sub_epi16(kZero, s[13]);
   2531   in[14] = s[9];
   2532   in[15] = _mm_sub_epi16(kZero, s[1]);
   2533 }
   2534 
   2535 void fdct16_avx2(__m128i *in0, __m128i *in1) {
   2536   fdct16_8col_avx2(in0);
   2537   fdct16_8col_avx2(in1);
   2538   array_transpose_16x16_avx2(in0, in1);
   2539 }
   2540 
   2541 void fadst16_avx2(__m128i *in0, __m128i *in1) {
   2542   fadst16_8col_avx2(in0);
   2543   fadst16_8col_avx2(in1);
   2544   array_transpose_16x16_avx2(in0, in1);
   2545 }
   2546 
   2547 void vp9_fht16x16_avx2(const int16_t *input, int16_t *output,
   2548                       int stride, int tx_type) {
   2549   __m128i in0[16], in1[16];
   2550 
   2551   switch (tx_type) {
   2552     case DCT_DCT:
   2553       vp9_fdct16x16_avx2(input, output, stride);
   2554       break;
   2555     case ADST_DCT:
   2556       load_buffer_16x16_avx2(input, in0, in1, stride);
   2557       fadst16_avx2(in0, in1);
   2558       right_shift_16x16_avx2(in0, in1);
   2559       fdct16_avx2(in0, in1);
   2560       write_buffer_16x16_avx2(output, in0, in1, 16);
   2561       break;
   2562     case DCT_ADST:
   2563       load_buffer_16x16_avx2(input, in0, in1, stride);
   2564       fdct16_avx2(in0, in1);
   2565       right_shift_16x16_avx2(in0, in1);
   2566       fadst16_avx2(in0, in1);
   2567       write_buffer_16x16_avx2(output, in0, in1, 16);
   2568       break;
   2569     case ADST_ADST:
   2570       load_buffer_16x16_avx2(input, in0, in1, stride);
   2571       fadst16_avx2(in0, in1);
   2572       right_shift_16x16_avx2(in0, in1);
   2573       fadst16_avx2(in0, in1);
   2574       write_buffer_16x16_avx2(output, in0, in1, 16);
   2575       break;
   2576     default:
   2577       assert(0);
   2578       break;
   2579   }
   2580 }
   2581 
   2582 #define FDCT32x32_2D_AVX2 vp9_fdct32x32_rd_avx2
   2583 #define FDCT32x32_HIGH_PRECISION 0
   2584 #include "vp9/encoder/x86/vp9_dct32x32_avx2.c"
   2585 #undef  FDCT32x32_2D_AVX2
   2586 #undef  FDCT32x32_HIGH_PRECISION
   2587 
   2588 #define FDCT32x32_2D_AVX2 vp9_fdct32x32_avx2
   2589 #define FDCT32x32_HIGH_PRECISION 1
   2590 #include "vp9/encoder/x86/vp9_dct32x32_avx2.c" // NOLINT
   2591 #undef  FDCT32x32_2D_AVX2
   2592 #undef  FDCT32x32_HIGH_PRECISION
   2593