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 /*

  *  Copyright (c) 2012 The WebM project authors. All Rights Reserved.

  *

  *  Use of this source code is governed by a BSD-style license

  *  that can be found in the LICENSE file in the root of the source

  *  tree. An additional intellectual property rights grant can be found

  *  in the file PATENTS.  All contributing project authors may

  *  be found in the AUTHORS file in the root of the source tree.

  */

 #include <emmintrin.h>  // SSE2

 #include "vp9/common/vp9_idct.h"  // for cospi constants

 #include "vpx_ports/mem.h"

 void vp9_fdct4x4_sse2(const int16_t *input, int16_t *output, int stride) {

   // The 2D transform is done with two passes which are actually pretty

   // similar. In the first one, we transform the columns and transpose

   // the results. In the second one, we transform the rows. To achieve that,

   // as the first pass results are transposed, we tranpose the columns (that

   // is the transposed rows) and transpose the results (so that it goes back

   // in normal/row positions).

   int pass;

   // Constants

   //    When we use them, in one case, they are all the same. In all others

   //    it's a pair of them that we need to repeat four times. This is done

   //    by constructing the 32 bit constant corresponding to that pair.

   const __m128i k__cospi_p16_p16 = _mm_set1_epi16(cospi_16_64);

   const __m128i k__cospi_p16_m16 = pair_set_epi16(cospi_16_64, -cospi_16_64);

   const __m128i k__cospi_p24_p08 = pair_set_epi16(cospi_24_64, cospi_8_64);

   const __m128i k__cospi_m08_p24 = pair_set_epi16(-cospi_8_64, cospi_24_64);

   const __m128i k__DCT_CONST_ROUNDING = _mm_set1_epi32(DCT_CONST_ROUNDING);

   const __m128i k__nonzero_bias_a = _mm_setr_epi16(0, 1, 1, 1, 1, 1, 1, 1);

   const __m128i k__nonzero_bias_b = _mm_setr_epi16(1, 0, 0, 0, 0, 0, 0, 0);

   const __m128i kOne = _mm_set1_epi16(1);

   __m128i in0, in1, in2, in3;

   // Load inputs.

   {

     in0  = _mm_loadl_epi64((const __m128i *)(input +  0 * stride));

     in1  = _mm_loadl_epi64((const __m128i *)(input +  1 * stride));

     in2  = _mm_loadl_epi64((const __m128i *)(input +  2 * stride));

     in3  = _mm_loadl_epi64((const __m128i *)(input +  3 * stride));

     // x = x << 4

     in0 = _mm_slli_epi16(in0, 4);

     in1 = _mm_slli_epi16(in1, 4);

     in2 = _mm_slli_epi16(in2, 4);

     in3 = _mm_slli_epi16(in3, 4);

     // if (i == 0 && input[0]) input[0] += 1;

     {

       // The mask will only contain wether the first value is zero, all

       // other comparison will fail as something shifted by 4 (above << 4)

       // can never be equal to one. To increment in the non-zero case, we

       // add the mask and one for the first element:

       //   - if zero, mask = -1, v = v - 1 + 1 = v

       //   - if non-zero, mask = 0, v = v + 0 + 1 = v + 1

       __m128i mask = _mm_cmpeq_epi16(in0, k__nonzero_bias_a);

       in0 = _mm_add_epi16(in0, mask);

       in0 = _mm_add_epi16(in0, k__nonzero_bias_b);

     }

   }

   // Do the two transform/transpose passes

   for (pass = 0; pass < 2; ++pass) {

     // Transform 1/2: Add/substract

     const __m128i r0 = _mm_add_epi16(in0, in3);

     const __m128i r1 = _mm_add_epi16(in1, in2);

     const __m128i r2 = _mm_sub_epi16(in1, in2);

     const __m128i r3 = _mm_sub_epi16(in0, in3);

     // Transform 1/2: Interleave to do the multiply by constants which gets us

     //                into 32 bits.

     const __m128i t0 = _mm_unpacklo_epi16(r0, r1);

     const __m128i t2 = _mm_unpacklo_epi16(r2, r3);

     const __m128i u0 = _mm_madd_epi16(t0, k__cospi_p16_p16);

     const __m128i u2 = _mm_madd_epi16(t0, k__cospi_p16_m16);

     const __m128i u4 = _mm_madd_epi16(t2, k__cospi_p24_p08);

     const __m128i u6 = _mm_madd_epi16(t2, k__cospi_m08_p24);

     const __m128i v0 = _mm_add_epi32(u0, k__DCT_CONST_ROUNDING);

     const __m128i v2 = _mm_add_epi32(u2, k__DCT_CONST_ROUNDING);

     const __m128i v4 = _mm_add_epi32(u4, k__DCT_CONST_ROUNDING);

     const __m128i v6 = _mm_add_epi32(u6, k__DCT_CONST_ROUNDING);

     const __m128i w0 = _mm_srai_epi32(v0, DCT_CONST_BITS);

     const __m128i w2 = _mm_srai_epi32(v2, DCT_CONST_BITS);

     const __m128i w4 = _mm_srai_epi32(v4, DCT_CONST_BITS);

     const __m128i w6 = _mm_srai_epi32(v6, DCT_CONST_BITS);

     // Combine and transpose

     const __m128i res0 = _mm_packs_epi32(w0, w2);

     const __m128i res1 = _mm_packs_epi32(w4, w6);

     // 00 01 02 03 20 21 22 23

     // 10 11 12 13 30 31 32 33

     const __m128i tr0_0 = _mm_unpacklo_epi16(res0, res1);

     const __m128i tr0_1 = _mm_unpackhi_epi16(res0, res1);

     // 00 10 01 11 02 12 03 13

     // 20 30 21 31 22 32 23 33

     in0 = _mm_unpacklo_epi32(tr0_0, tr0_1);

     in2 = _mm_unpackhi_epi32(tr0_0, tr0_1);

     // 00 10 20 30 01 11 21 31      in0 contains 0 followed by 1

     // 02 12 22 32 03 13 23 33      in2 contains 2 followed by 3

     if (0 == pass) {

       // Extract values in the high part for second pass as transform code

       // only uses the first four values.

       in1 = _mm_unpackhi_epi64(in0, in0);

       in3 = _mm_unpackhi_epi64(in2, in2);

     } else {

       // Post-condition output and store it (v + 1) >> 2, taking advantage

       // of the fact 1/3 are stored just after 0/2.

       __m128i out01 = _mm_add_epi16(in0, kOne);

       __m128i out23 = _mm_add_epi16(in2, kOne);

       out01 = _mm_srai_epi16(out01, 2);

       out23 = _mm_srai_epi16(out23, 2);

       _mm_storeu_si128((__m128i *)(output + 0 * 4), out01);

       _mm_storeu_si128((__m128i *)(output + 2 * 4), out23);

     }

   }

 }

 static INLINE void load_buffer_4x4(const int16_t *input, __m128i *in,

                                    int stride) {

   const __m128i k__nonzero_bias_a = _mm_setr_epi16(0, 1, 1, 1, 1, 1, 1, 1);

   const __m128i k__nonzero_bias_b = _mm_setr_epi16(1, 0, 0, 0, 0, 0, 0, 0);

   __m128i mask;

   in[0] = _mm_loadl_epi64((const __m128i *)(input + 0 * stride));

   in[1] = _mm_loadl_epi64((const __m128i *)(input + 1 * stride));

   in[2] = _mm_loadl_epi64((const __m128i *)(input + 2 * stride));

   in[3] = _mm_loadl_epi64((const __m128i *)(input + 3 * stride));

   in[0] = _mm_slli_epi16(in[0], 4);

   in[1] = _mm_slli_epi16(in[1], 4);

   in[2] = _mm_slli_epi16(in[2], 4);

   in[3] = _mm_slli_epi16(in[3], 4);

   mask = _mm_cmpeq_epi16(in[0], k__nonzero_bias_a);

   in[0] = _mm_add_epi16(in[0], mask);

   in[0] = _mm_add_epi16(in[0], k__nonzero_bias_b);

 }

 static INLINE void write_buffer_4x4(int16_t *output, __m128i *res) {

   const __m128i kOne = _mm_set1_epi16(1);

   __m128i in01 = _mm_unpacklo_epi64(res[0], res[1]);

   __m128i in23 = _mm_unpacklo_epi64(res[2], res[3]);

   __m128i out01 = _mm_add_epi16(in01, kOne);

   __m128i out23 = _mm_add_epi16(in23, kOne);

   out01 = _mm_srai_epi16(out01, 2);

   out23 = _mm_srai_epi16(out23, 2);

   _mm_store_si128((__m128i *)(output + 0 * 8), out01);

   _mm_store_si128((__m128i *)(output + 1 * 8), out23);

 }

 static INLINE void transpose_4x4(__m128i *res) {

   // Combine and transpose

   // 00 01 02 03 20 21 22 23

   // 10 11 12 13 30 31 32 33

   const __m128i tr0_0 = _mm_unpacklo_epi16(res[0], res[1]);

   const __m128i tr0_1 = _mm_unpackhi_epi16(res[0], res[1]);

   // 00 10 01 11 02 12 03 13

   // 20 30 21 31 22 32 23 33

   res[0] = _mm_unpacklo_epi32(tr0_0, tr0_1);

   res[2] = _mm_unpackhi_epi32(tr0_0, tr0_1);

   // 00 10 20 30 01 11 21 31

   // 02 12 22 32 03 13 23 33

   // only use the first 4 16-bit integers

   res[1] = _mm_unpackhi_epi64(res[0], res[0]);

   res[3] = _mm_unpackhi_epi64(res[2], res[2]);

 }

 void fdct4_1d_sse2(__m128i *in) {

   const __m128i k__cospi_p16_p16 = _mm_set1_epi16(cospi_16_64);

   const __m128i k__cospi_p16_m16 = pair_set_epi16(cospi_16_64, -cospi_16_64);

   const __m128i k__cospi_p08_p24 = pair_set_epi16(cospi_8_64, cospi_24_64);

   const __m128i k__cospi_p24_m08 = pair_set_epi16(cospi_24_64, -cospi_8_64);

   const __m128i k__DCT_CONST_ROUNDING = _mm_set1_epi32(DCT_CONST_ROUNDING);

   __m128i u[4], v[4];

   u[0]=_mm_unpacklo_epi16(in[0], in[1]);

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

   v[0] = _mm_add_epi16(u[0], u[1]);

   v[1] = _mm_sub_epi16(u[0], u[1]);

   u[0] = _mm_madd_epi16(v[0], k__cospi_p16_p16);  // 0

   u[1] = _mm_madd_epi16(v[0], k__cospi_p16_m16);  // 2

   u[2] = _mm_madd_epi16(v[1], k__cospi_p08_p24);  // 1

   u[3] = _mm_madd_epi16(v[1], k__cospi_p24_m08);  // 3

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

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

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

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

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

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

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

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

   in[0] = _mm_packs_epi32(u[0], u[1]);

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

   transpose_4x4(in);

 }

 void fadst4_1d_sse2(__m128i *in) {

   const __m128i k__sinpi_p01_p02 = pair_set_epi16(sinpi_1_9, sinpi_2_9);

   const __m128i k__sinpi_p04_m01 = pair_set_epi16(sinpi_4_9, -sinpi_1_9);

   const __m128i k__sinpi_p03_p04 = pair_set_epi16(sinpi_3_9, sinpi_4_9);

   const __m128i k__sinpi_m03_p02 = pair_set_epi16(-sinpi_3_9, sinpi_2_9);

   const __m128i k__sinpi_p03_p03 = _mm_set1_epi16(sinpi_3_9);

   const __m128i kZero = _mm_set1_epi16(0);

   const __m128i k__DCT_CONST_ROUNDING = _mm_set1_epi32(DCT_CONST_ROUNDING);

   __m128i u[8], v[8];

   __m128i in7 = _mm_add_epi16(in[0], in[1]);

   u[0] = _mm_unpacklo_epi16(in[0], in[1]);

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

   u[2] = _mm_unpacklo_epi16(in7, kZero);

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

   u[4] = _mm_unpacklo_epi16(in[3], kZero);

   v[0] = _mm_madd_epi16(u[0], k__sinpi_p01_p02);  // s0 + s2

   v[1] = _mm_madd_epi16(u[1], k__sinpi_p03_p04);  // s4 + s5

   v[2] = _mm_madd_epi16(u[2], k__sinpi_p03_p03);  // x1

   v[3] = _mm_madd_epi16(u[0], k__sinpi_p04_m01);  // s1 - s3

   v[4] = _mm_madd_epi16(u[1], k__sinpi_m03_p02);  // -s4 + s6

   v[5] = _mm_madd_epi16(u[3], k__sinpi_p03_p03);  // s4

   v[6] = _mm_madd_epi16(u[4], k__sinpi_p03_p03);

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

   u[1] = _mm_sub_epi32(v[2], v[6]);

   u[2] = _mm_add_epi32(v[3], v[4]);

   u[3] = _mm_sub_epi32(u[2], u[0]);

   u[4] = _mm_slli_epi32(v[5], 2);

   u[5] = _mm_sub_epi32(u[4], v[5]);

   u[6] = _mm_add_epi32(u[3], u[5]);

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

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

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

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

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

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

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

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

   in[0] = _mm_packs_epi32(u[0], u[2]);

   in[1] = _mm_packs_epi32(u[1], u[3]);

   transpose_4x4(in);

 }

 void vp9_short_fht4x4_sse2(const int16_t *input, int16_t *output,

                            int stride, int tx_type) {

   __m128i in[4];

   load_buffer_4x4(input, in, stride);

   switch (tx_type) {

     case 0:  // DCT_DCT

       fdct4_1d_sse2(in);

       fdct4_1d_sse2(in);

       break;

     case 1:  // ADST_DCT

       fadst4_1d_sse2(in);

       fdct4_1d_sse2(in);

       break;

     case 2:  // DCT_ADST

       fdct4_1d_sse2(in);

       fadst4_1d_sse2(in);

       break;

     case 3:  // ADST_ADST

       fadst4_1d_sse2(in);

       fadst4_1d_sse2(in);

       break;

     default:

       assert(0);

       break;

   }

   write_buffer_4x4(output, in);

 }

 void vp9_fdct8x8_sse2(const int16_t *input, int16_t *output, int stride) {

   int pass;

   // Constants

   //    When we use them, in one case, they are all the same. In all others

   //    it's a pair of them that we need to repeat four times. This is done

   //    by constructing the 32 bit constant corresponding to that pair.

   const __m128i k__cospi_p16_p16 = _mm_set1_epi16(cospi_16_64);

   const __m128i k__cospi_p16_m16 = pair_set_epi16(cospi_16_64, -cospi_16_64);

   const __m128i k__cospi_p24_p08 = pair_set_epi16(cospi_24_64, cospi_8_64);

   const __m128i k__cospi_m08_p24 = pair_set_epi16(-cospi_8_64, cospi_24_64);

   const __m128i k__cospi_p28_p04 = pair_set_epi16(cospi_28_64, cospi_4_64);

   const __m128i k__cospi_m04_p28 = pair_set_epi16(-cospi_4_64, cospi_28_64);

   const __m128i k__cospi_p12_p20 = pair_set_epi16(cospi_12_64, cospi_20_64);

   const __m128i k__cospi_m20_p12 = pair_set_epi16(-cospi_20_64, cospi_12_64);

   const __m128i k__DCT_CONST_ROUNDING = _mm_set1_epi32(DCT_CONST_ROUNDING);

   // Load input

   __m128i in0  = _mm_load_si128((const __m128i *)(input + 0 * stride));

   __m128i in1  = _mm_load_si128((const __m128i *)(input + 1 * stride));

   __m128i in2  = _mm_load_si128((const __m128i *)(input + 2 * stride));

   __m128i in3  = _mm_load_si128((const __m128i *)(input + 3 * stride));

   __m128i in4  = _mm_load_si128((const __m128i *)(input + 4 * stride));

   __m128i in5  = _mm_load_si128((const __m128i *)(input + 5 * stride));

   __m128i in6  = _mm_load_si128((const __m128i *)(input + 6 * stride));

   __m128i in7  = _mm_load_si128((const __m128i *)(input + 7 * stride));

   // Pre-condition input (shift by two)

   in0 = _mm_slli_epi16(in0, 2);

   in1 = _mm_slli_epi16(in1, 2);

   in2 = _mm_slli_epi16(in2, 2);

   in3 = _mm_slli_epi16(in3, 2);

   in4 = _mm_slli_epi16(in4, 2);

   in5 = _mm_slli_epi16(in5, 2);

   in6 = _mm_slli_epi16(in6, 2);

   in7 = _mm_slli_epi16(in7, 2);

   // We do two passes, first the columns, then the rows. The results of the

   // first pass are transposed so that the same column code can be reused. The

   // results of the second pass are also transposed so that the rows (processed

   // as columns) are put back in row positions.

   for (pass = 0; pass < 2; pass++) {

     // To store results of each pass before the transpose.

     __m128i res0, res1, res2, res3, res4, res5, res6, res7;

     // Add/substract

     const __m128i q0 = _mm_add_epi16(in0, in7);

     const __m128i q1 = _mm_add_epi16(in1, in6);

     const __m128i q2 = _mm_add_epi16(in2, in5);

     const __m128i q3 = _mm_add_epi16(in3, in4);

     const __m128i q4 = _mm_sub_epi16(in3, in4);

     const __m128i q5 = _mm_sub_epi16(in2, in5);

     const __m128i q6 = _mm_sub_epi16(in1, in6);

     const __m128i q7 = _mm_sub_epi16(in0, in7);

     // Work on first four results

     {

       // Add/substract

       const __m128i r0 = _mm_add_epi16(q0, q3);

       const __m128i r1 = _mm_add_epi16(q1, q2);

       const __m128i r2 = _mm_sub_epi16(q1, q2);

       const __m128i r3 = _mm_sub_epi16(q0, q3);

       // Interleave to do the multiply by constants which gets us into 32bits

       const __m128i t0 = _mm_unpacklo_epi16(r0, r1);

       const __m128i t1 = _mm_unpackhi_epi16(r0, r1);

       const __m128i t2 = _mm_unpacklo_epi16(r2, r3);

       const __m128i t3 = _mm_unpackhi_epi16(r2, r3);

       const __m128i u0 = _mm_madd_epi16(t0, k__cospi_p16_p16);

       const __m128i u1 = _mm_madd_epi16(t1, k__cospi_p16_p16);

       const __m128i u2 = _mm_madd_epi16(t0, k__cospi_p16_m16);

       const __m128i u3 = _mm_madd_epi16(t1, k__cospi_p16_m16);

       const __m128i u4 = _mm_madd_epi16(t2, k__cospi_p24_p08);

       const __m128i u5 = _mm_madd_epi16(t3, k__cospi_p24_p08);

       const __m128i u6 = _mm_madd_epi16(t2, k__cospi_m08_p24);

       const __m128i u7 = _mm_madd_epi16(t3, k__cospi_m08_p24);

       // dct_const_round_shift

       const __m128i v0 = _mm_add_epi32(u0, k__DCT_CONST_ROUNDING);

       const __m128i v1 = _mm_add_epi32(u1, k__DCT_CONST_ROUNDING);

       const __m128i v2 = _mm_add_epi32(u2, k__DCT_CONST_ROUNDING);

       const __m128i v3 = _mm_add_epi32(u3, k__DCT_CONST_ROUNDING);

       const __m128i v4 = _mm_add_epi32(u4, k__DCT_CONST_ROUNDING);

       const __m128i v5 = _mm_add_epi32(u5, k__DCT_CONST_ROUNDING);

       const __m128i v6 = _mm_add_epi32(u6, k__DCT_CONST_ROUNDING);

       const __m128i v7 = _mm_add_epi32(u7, k__DCT_CONST_ROUNDING);

       const __m128i w0 = _mm_srai_epi32(v0, DCT_CONST_BITS);

       const __m128i w1 = _mm_srai_epi32(v1, DCT_CONST_BITS);

       const __m128i w2 = _mm_srai_epi32(v2, DCT_CONST_BITS);

       const __m128i w3 = _mm_srai_epi32(v3, DCT_CONST_BITS);

       const __m128i w4 = _mm_srai_epi32(v4, DCT_CONST_BITS);

       const __m128i w5 = _mm_srai_epi32(v5, DCT_CONST_BITS);

       const __m128i w6 = _mm_srai_epi32(v6, DCT_CONST_BITS);

       const __m128i w7 = _mm_srai_epi32(v7, DCT_CONST_BITS);

       // Combine

       res0 = _mm_packs_epi32(w0, w1);

       res4 = _mm_packs_epi32(w2, w3);

       res2 = _mm_packs_epi32(w4, w5);

       res6 = _mm_packs_epi32(w6, w7);

     }

     // Work on next four results

     {

       // Interleave to do the multiply by constants which gets us into 32bits

       const __m128i d0 = _mm_unpacklo_epi16(q6, q5);

       const __m128i d1 = _mm_unpackhi_epi16(q6, q5);

       const __m128i e0 = _mm_madd_epi16(d0, k__cospi_p16_m16);

       const __m128i e1 = _mm_madd_epi16(d1, k__cospi_p16_m16);

       const __m128i e2 = _mm_madd_epi16(d0, k__cospi_p16_p16);

       const __m128i e3 = _mm_madd_epi16(d1, k__cospi_p16_p16);

       // dct_const_round_shift

       const __m128i f0 = _mm_add_epi32(e0, k__DCT_CONST_ROUNDING);

       const __m128i f1 = _mm_add_epi32(e1, k__DCT_CONST_ROUNDING);

       const __m128i f2 = _mm_add_epi32(e2, k__DCT_CONST_ROUNDING);

       const __m128i f3 = _mm_add_epi32(e3, k__DCT_CONST_ROUNDING);

       const __m128i s0 = _mm_srai_epi32(f0, DCT_CONST_BITS);

       const __m128i s1 = _mm_srai_epi32(f1, DCT_CONST_BITS);

       const __m128i s2 = _mm_srai_epi32(f2, DCT_CONST_BITS);

       const __m128i s3 = _mm_srai_epi32(f3, DCT_CONST_BITS);

       // Combine

       const __m128i r0 = _mm_packs_epi32(s0, s1);

       const __m128i r1 = _mm_packs_epi32(s2, s3);

       // Add/substract

       const __m128i x0 = _mm_add_epi16(q4, r0);

       const __m128i x1 = _mm_sub_epi16(q4, r0);

       const __m128i x2 = _mm_sub_epi16(q7, r1);

       const __m128i x3 = _mm_add_epi16(q7, r1);

       // Interleave to do the multiply by constants which gets us into 32bits

       const __m128i t0 = _mm_unpacklo_epi16(x0, x3);

       const __m128i t1 = _mm_unpackhi_epi16(x0, x3);

       const __m128i t2 = _mm_unpacklo_epi16(x1, x2);

       const __m128i t3 = _mm_unpackhi_epi16(x1, x2);

       const __m128i u0 = _mm_madd_epi16(t0, k__cospi_p28_p04);

       const __m128i u1 = _mm_madd_epi16(t1, k__cospi_p28_p04);

       const __m128i u2 = _mm_madd_epi16(t0, k__cospi_m04_p28);

       const __m128i u3 = _mm_madd_epi16(t1, k__cospi_m04_p28);

       const __m128i u4 = _mm_madd_epi16(t2, k__cospi_p12_p20);

       const __m128i u5 = _mm_madd_epi16(t3, k__cospi_p12_p20);

       const __m128i u6 = _mm_madd_epi16(t2, k__cospi_m20_p12);

       const __m128i u7 = _mm_madd_epi16(t3, k__cospi_m20_p12);

       // dct_const_round_shift

       const __m128i v0 = _mm_add_epi32(u0, k__DCT_CONST_ROUNDING);

       const __m128i v1 = _mm_add_epi32(u1, k__DCT_CONST_ROUNDING);

       const __m128i v2 = _mm_add_epi32(u2, k__DCT_CONST_ROUNDING);

       const __m128i v3 = _mm_add_epi32(u3, k__DCT_CONST_ROUNDING);

       const __m128i v4 = _mm_add_epi32(u4, k__DCT_CONST_ROUNDING);

       const __m128i v5 = _mm_add_epi32(u5, k__DCT_CONST_ROUNDING);

       const __m128i v6 = _mm_add_epi32(u6, k__DCT_CONST_ROUNDING);

       const __m128i v7 = _mm_add_epi32(u7, k__DCT_CONST_ROUNDING);

       const __m128i w0 = _mm_srai_epi32(v0, DCT_CONST_BITS);

       const __m128i w1 = _mm_srai_epi32(v1, DCT_CONST_BITS);

       const __m128i w2 = _mm_srai_epi32(v2, DCT_CONST_BITS);

       const __m128i w3 = _mm_srai_epi32(v3, DCT_CONST_BITS);

       const __m128i w4 = _mm_srai_epi32(v4, DCT_CONST_BITS);

       const __m128i w5 = _mm_srai_epi32(v5, DCT_CONST_BITS);

       const __m128i w6 = _mm_srai_epi32(v6, DCT_CONST_BITS);

       const __m128i w7 = _mm_srai_epi32(v7, DCT_CONST_BITS);

       // Combine

       res1 = _mm_packs_epi32(w0, w1);

       res7 = _mm_packs_epi32(w2, w3);

       res5 = _mm_packs_epi32(w4, w5);

       res3 = _mm_packs_epi32(w6, w7);

     }

     // Transpose the 8x8.

     {

       // 00 01 02 03 04 05 06 07

       // 10 11 12 13 14 15 16 17

       // 20 21 22 23 24 25 26 27

       // 30 31 32 33 34 35 36 37

       // 40 41 42 43 44 45 46 47

       // 50 51 52 53 54 55 56 57

       // 60 61 62 63 64 65 66 67

       // 70 71 72 73 74 75 76 77

       const __m128i tr0_0 = _mm_unpacklo_epi16(res0, res1);

       const __m128i tr0_1 = _mm_unpacklo_epi16(res2, res3);

       const __m128i tr0_2 = _mm_unpackhi_epi16(res0, res1);

       const __m128i tr0_3 = _mm_unpackhi_epi16(res2, res3);

       const __m128i tr0_4 = _mm_unpacklo_epi16(res4, res5);

       const __m128i tr0_5 = _mm_unpacklo_epi16(res6, res7);

       const __m128i tr0_6 = _mm_unpackhi_epi16(res4, res5);

       const __m128i tr0_7 = _mm_unpackhi_epi16(res6, res7);

       // 00 10 01 11 02 12 03 13

       // 20 30 21 31 22 32 23 33

       // 04 14 05 15 06 16 07 17

       // 24 34 25 35 26 36 27 37

       // 40 50 41 51 42 52 43 53

       // 60 70 61 71 62 72 63 73

       // 54 54 55 55 56 56 57 57

       // 64 74 65 75 66 76 67 77

       const __m128i tr1_0 = _mm_unpacklo_epi32(tr0_0, tr0_1);

       const __m128i tr1_1 = _mm_unpacklo_epi32(tr0_2, tr0_3);

       const __m128i tr1_2 = _mm_unpackhi_epi32(tr0_0, tr0_1);

       const __m128i tr1_3 = _mm_unpackhi_epi32(tr0_2, tr0_3);

       const __m128i tr1_4 = _mm_unpacklo_epi32(tr0_4, tr0_5);

       const __m128i tr1_5 = _mm_unpacklo_epi32(tr0_6, tr0_7);

       const __m128i tr1_6 = _mm_unpackhi_epi32(tr0_4, tr0_5);

       const __m128i tr1_7 = _mm_unpackhi_epi32(tr0_6, tr0_7);

       // 00 10 20 30 01 11 21 31

       // 40 50 60 70 41 51 61 71

       // 02 12 22 32 03 13 23 33

       // 42 52 62 72 43 53 63 73

       // 04 14 24 34 05 15 21 36

       // 44 54 64 74 45 55 61 76

       // 06 16 26 36 07 17 27 37

       // 46 56 66 76 47 57 67 77

       in0 = _mm_unpacklo_epi64(tr1_0, tr1_4);

       in1 = _mm_unpackhi_epi64(tr1_0, tr1_4);

       in2 = _mm_unpacklo_epi64(tr1_2, tr1_6);

       in3 = _mm_unpackhi_epi64(tr1_2, tr1_6);

       in4 = _mm_unpacklo_epi64(tr1_1, tr1_5);

       in5 = _mm_unpackhi_epi64(tr1_1, tr1_5);

       in6 = _mm_unpacklo_epi64(tr1_3, tr1_7);

       in7 = _mm_unpackhi_epi64(tr1_3, tr1_7);

       // 00 10 20 30 40 50 60 70

       // 01 11 21 31 41 51 61 71

       // 02 12 22 32 42 52 62 72

       // 03 13 23 33 43 53 63 73

       // 04 14 24 34 44 54 64 74

       // 05 15 25 35 45 55 65 75

       // 06 16 26 36 46 56 66 76

       // 07 17 27 37 47 57 67 77

     }

   }

   // Post-condition output and store it

   {

     // Post-condition (division by two)

     //    division of two 16 bits signed numbers using shifts

     //    n / 2 = (n - (n >> 15)) >> 1

     const __m128i sign_in0 = _mm_srai_epi16(in0, 15);

     const __m128i sign_in1 = _mm_srai_epi16(in1, 15);

     const __m128i sign_in2 = _mm_srai_epi16(in2, 15);

     const __m128i sign_in3 = _mm_srai_epi16(in3, 15);

     const __m128i sign_in4 = _mm_srai_epi16(in4, 15);

     const __m128i sign_in5 = _mm_srai_epi16(in5, 15);

     const __m128i sign_in6 = _mm_srai_epi16(in6, 15);

     const __m128i sign_in7 = _mm_srai_epi16(in7, 15);

     in0 = _mm_sub_epi16(in0, sign_in0);

     in1 = _mm_sub_epi16(in1, sign_in1);

     in2 = _mm_sub_epi16(in2, sign_in2);

     in3 = _mm_sub_epi16(in3, sign_in3);

     in4 = _mm_sub_epi16(in4, sign_in4);

     in5 = _mm_sub_epi16(in5, sign_in5);

     in6 = _mm_sub_epi16(in6, sign_in6);

     in7 = _mm_sub_epi16(in7, sign_in7);

     in0 = _mm_srai_epi16(in0, 1);

     in1 = _mm_srai_epi16(in1, 1);

     in2 = _mm_srai_epi16(in2, 1);

     in3 = _mm_srai_epi16(in3, 1);

     in4 = _mm_srai_epi16(in4, 1);

     in5 = _mm_srai_epi16(in5, 1);

     in6 = _mm_srai_epi16(in6, 1);

     in7 = _mm_srai_epi16(in7, 1);

     // store results

     _mm_store_si128((__m128i *)(output + 0 * 8), in0);

     _mm_store_si128((__m128i *)(output + 1 * 8), in1);

     _mm_store_si128((__m128i *)(output + 2 * 8), in2);

     _mm_store_si128((__m128i *)(output + 3 * 8), in3);

     _mm_store_si128((__m128i *)(output + 4 * 8), in4);

     _mm_store_si128((__m128i *)(output + 5 * 8), in5);

     _mm_store_si128((__m128i *)(output + 6 * 8), in6);

     _mm_store_si128((__m128i *)(output + 7 * 8), in7);

   }

 }

 // load 8x8 array

 static INLINE void load_buffer_8x8(const int16_t *input, __m128i *in,

                                    int stride) {

   in[0]  = _mm_load_si128((const __m128i *)(input + 0 * stride));

   in[1]  = _mm_load_si128((const __m128i *)(input + 1 * stride));

   in[2]  = _mm_load_si128((const __m128i *)(input + 2 * stride));

   in[3]  = _mm_load_si128((const __m128i *)(input + 3 * stride));

   in[4]  = _mm_load_si128((const __m128i *)(input + 4 * stride));

   in[5]  = _mm_load_si128((const __m128i *)(input + 5 * stride));

   in[6]  = _mm_load_si128((const __m128i *)(input + 6 * stride));

   in[7]  = _mm_load_si128((const __m128i *)(input + 7 * stride));

   in[0] = _mm_slli_epi16(in[0], 2);

   in[1] = _mm_slli_epi16(in[1], 2);

   in[2] = _mm_slli_epi16(in[2], 2);

   in[3] = _mm_slli_epi16(in[3], 2);

   in[4] = _mm_slli_epi16(in[4], 2);

   in[5] = _mm_slli_epi16(in[5], 2);

   in[6] = _mm_slli_epi16(in[6], 2);

   in[7] = _mm_slli_epi16(in[7], 2);

 }

 // right shift and rounding

 static INLINE void right_shift_8x8(__m128i *res, int const bit) {

   const __m128i kOne = _mm_set1_epi16(1);

   const int bit_m02 = bit - 2;

   __m128i sign0 = _mm_srai_epi16(res[0], 15);

   __m128i sign1 = _mm_srai_epi16(res[1], 15);

   __m128i sign2 = _mm_srai_epi16(res[2], 15);

   __m128i sign3 = _mm_srai_epi16(res[3], 15);

   __m128i sign4 = _mm_srai_epi16(res[4], 15);

   __m128i sign5 = _mm_srai_epi16(res[5], 15);

   __m128i sign6 = _mm_srai_epi16(res[6], 15);

   __m128i sign7 = _mm_srai_epi16(res[7], 15);

   if (bit_m02 >= 0) {

     __m128i k_const_rounding = _mm_slli_epi16(kOne, bit_m02);

     res[0] = _mm_add_epi16(res[0], k_const_rounding);

     res[1] = _mm_add_epi16(res[1], k_const_rounding);

     res[2] = _mm_add_epi16(res[2], k_const_rounding);

     res[3] = _mm_add_epi16(res[3], k_const_rounding);

     res[4] = _mm_add_epi16(res[4], k_const_rounding);

     res[5] = _mm_add_epi16(res[5], k_const_rounding);

     res[6] = _mm_add_epi16(res[6], k_const_rounding);

     res[7] = _mm_add_epi16(res[7], k_const_rounding);

   }

   res[0] = _mm_sub_epi16(res[0], sign0);

   res[1] = _mm_sub_epi16(res[1], sign1);

   res[2] = _mm_sub_epi16(res[2], sign2);

   res[3] = _mm_sub_epi16(res[3], sign3);

   res[4] = _mm_sub_epi16(res[4], sign4);

   res[5] = _mm_sub_epi16(res[5], sign5);

   res[6] = _mm_sub_epi16(res[6], sign6);

   res[7] = _mm_sub_epi16(res[7], sign7);

   res[0] = _mm_srai_epi16(res[0], bit);

   res[1] = _mm_srai_epi16(res[1], bit);

   res[2] = _mm_srai_epi16(res[2], bit);

   res[3] = _mm_srai_epi16(res[3], bit);

   res[4] = _mm_srai_epi16(res[4], bit);

   res[5] = _mm_srai_epi16(res[5], bit);

   res[6] = _mm_srai_epi16(res[6], bit);

   res[7] = _mm_srai_epi16(res[7], bit);

 }

 // write 8x8 array

 static INLINE void write_buffer_8x8(int16_t *output, __m128i *res, int stride) {

   _mm_store_si128((__m128i *)(output + 0 * stride), res[0]);

   _mm_store_si128((__m128i *)(output + 1 * stride), res[1]);

   _mm_store_si128((__m128i *)(output + 2 * stride), res[2]);

   _mm_store_si128((__m128i *)(output + 3 * stride), res[3]);

   _mm_store_si128((__m128i *)(output + 4 * stride), res[4]);

   _mm_store_si128((__m128i *)(output + 5 * stride), res[5]);

   _mm_store_si128((__m128i *)(output + 6 * stride), res[6]);

   _mm_store_si128((__m128i *)(output + 7 * stride), res[7]);

 }

 // perform in-place transpose

 static INLINE void array_transpose_8x8(__m128i *in, __m128i *res) {

   const __m128i tr0_0 = _mm_unpacklo_epi16(in[0], in[1]);

   const __m128i tr0_1 = _mm_unpacklo_epi16(in[2], in[3]);

   const __m128i tr0_2 = _mm_unpackhi_epi16(in[0], in[1]);

   const __m128i tr0_3 = _mm_unpackhi_epi16(in[2], in[3]);

   const __m128i tr0_4 = _mm_unpacklo_epi16(in[4], in[5]);

   const __m128i tr0_5 = _mm_unpacklo_epi16(in[6], in[7]);

   const __m128i tr0_6 = _mm_unpackhi_epi16(in[4], in[5]);

   const __m128i tr0_7 = _mm_unpackhi_epi16(in[6], in[7]);

   // 00 10 01 11 02 12 03 13

   // 20 30 21 31 22 32 23 33

   // 04 14 05 15 06 16 07 17

   // 24 34 25 35 26 36 27 37

   // 40 50 41 51 42 52 43 53

   // 60 70 61 71 62 72 63 73

   // 44 54 45 55 46 56 47 57

   // 64 74 65 75 66 76 67 77

   const __m128i tr1_0 = _mm_unpacklo_epi32(tr0_0, tr0_1);

   const __m128i tr1_1 = _mm_unpacklo_epi32(tr0_4, tr0_5);

   const __m128i tr1_2 = _mm_unpackhi_epi32(tr0_0, tr0_1);

   const __m128i tr1_3 = _mm_unpackhi_epi32(tr0_4, tr0_5);

   const __m128i tr1_4 = _mm_unpacklo_epi32(tr0_2, tr0_3);

   const __m128i tr1_5 = _mm_unpacklo_epi32(tr0_6, tr0_7);

   const __m128i tr1_6 = _mm_unpackhi_epi32(tr0_2, tr0_3);

   const __m128i tr1_7 = _mm_unpackhi_epi32(tr0_6, tr0_7);

   // 00 10 20 30 01 11 21 31

   // 40 50 60 70 41 51 61 71

   // 02 12 22 32 03 13 23 33

   // 42 52 62 72 43 53 63 73

   // 04 14 24 34 05 15 25 35

   // 44 54 64 74 45 55 65 75

   // 06 16 26 36 07 17 27 37

   // 46 56 66 76 47 57 67 77

   res[0] = _mm_unpacklo_epi64(tr1_0, tr1_1);

   res[1] = _mm_unpackhi_epi64(tr1_0, tr1_1);

   res[2] = _mm_unpacklo_epi64(tr1_2, tr1_3);

   res[3] = _mm_unpackhi_epi64(tr1_2, tr1_3);

   res[4] = _mm_unpacklo_epi64(tr1_4, tr1_5);

   res[5] = _mm_unpackhi_epi64(tr1_4, tr1_5);

   res[6] = _mm_unpacklo_epi64(tr1_6, tr1_7);

   res[7] = _mm_unpackhi_epi64(tr1_6, tr1_7);

   // 00 10 20 30 40 50 60 70

   // 01 11 21 31 41 51 61 71

   // 02 12 22 32 42 52 62 72

   // 03 13 23 33 43 53 63 73

   // 04 14 24 34 44 54 64 74

   // 05 15 25 35 45 55 65 75

   // 06 16 26 36 46 56 66 76

   // 07 17 27 37 47 57 67 77

 }

 void fdct8_1d_sse2(__m128i *in) {

   // constants

   const __m128i k__cospi_p16_p16 = _mm_set1_epi16(cospi_16_64);

   const __m128i k__cospi_p16_m16 = pair_set_epi16(cospi_16_64, -cospi_16_64);

   const __m128i k__cospi_p24_p08 = pair_set_epi16(cospi_24_64, cospi_8_64);

   const __m128i k__cospi_m08_p24 = pair_set_epi16(-cospi_8_64, cospi_24_64);

   const __m128i k__cospi_p28_p04 = pair_set_epi16(cospi_28_64, cospi_4_64);

   const __m128i k__cospi_m04_p28 = pair_set_epi16(-cospi_4_64, cospi_28_64);

   const __m128i k__cospi_p12_p20 = pair_set_epi16(cospi_12_64, cospi_20_64);

   const __m128i k__cospi_m20_p12 = pair_set_epi16(-cospi_20_64, cospi_12_64);

   const __m128i k__DCT_CONST_ROUNDING = _mm_set1_epi32(DCT_CONST_ROUNDING);

   __m128i u0, u1, u2, u3, u4, u5, u6, u7;

   __m128i v0, v1, v2, v3, v4, v5, v6, v7;

   __m128i s0, s1, s2, s3, s4, s5, s6, s7;

   // stage 1

   s0 = _mm_add_epi16(in[0], in[7]);

   s1 = _mm_add_epi16(in[1], in[6]);

   s2 = _mm_add_epi16(in[2], in[5]);

   s3 = _mm_add_epi16(in[3], in[4]);

   s4 = _mm_sub_epi16(in[3], in[4]);

   s5 = _mm_sub_epi16(in[2], in[5]);

   s6 = _mm_sub_epi16(in[1], in[6]);

   s7 = _mm_sub_epi16(in[0], in[7]);

   u0 = _mm_add_epi16(s0, s3);

   u1 = _mm_add_epi16(s1, s2);

   u2 = _mm_sub_epi16(s1, s2);

   u3 = _mm_sub_epi16(s0, s3);

   // interleave and perform butterfly multiplication/addition

   v0 = _mm_unpacklo_epi16(u0, u1);

   v1 = _mm_unpackhi_epi16(u0, u1);

   v2 = _mm_unpacklo_epi16(u2, u3);

   v3 = _mm_unpackhi_epi16(u2, u3);

   u0 = _mm_madd_epi16(v0, k__cospi_p16_p16);

   u1 = _mm_madd_epi16(v1, k__cospi_p16_p16);

   u2 = _mm_madd_epi16(v0, k__cospi_p16_m16);

   u3 = _mm_madd_epi16(v1, k__cospi_p16_m16);

   u4 = _mm_madd_epi16(v2, k__cospi_p24_p08);

   u5 = _mm_madd_epi16(v3, k__cospi_p24_p08);

   u6 = _mm_madd_epi16(v2, k__cospi_m08_p24);

   u7 = _mm_madd_epi16(v3, k__cospi_m08_p24);

   // shift and rounding

   v0 = _mm_add_epi32(u0, k__DCT_CONST_ROUNDING);

   v1 = _mm_add_epi32(u1, k__DCT_CONST_ROUNDING);

   v2 = _mm_add_epi32(u2, k__DCT_CONST_ROUNDING);

   v3 = _mm_add_epi32(u3, k__DCT_CONST_ROUNDING);

   v4 = _mm_add_epi32(u4, k__DCT_CONST_ROUNDING);

   v5 = _mm_add_epi32(u5, k__DCT_CONST_ROUNDING);

   v6 = _mm_add_epi32(u6, k__DCT_CONST_ROUNDING);

   v7 = _mm_add_epi32(u7, k__DCT_CONST_ROUNDING);

   u0 = _mm_srai_epi32(v0, DCT_CONST_BITS);

   u1 = _mm_srai_epi32(v1, DCT_CONST_BITS);

   u2 = _mm_srai_epi32(v2, DCT_CONST_BITS);

   u3 = _mm_srai_epi32(v3, DCT_CONST_BITS);

   u4 = _mm_srai_epi32(v4, DCT_CONST_BITS);

   u5 = _mm_srai_epi32(v5, DCT_CONST_BITS);

   u6 = _mm_srai_epi32(v6, DCT_CONST_BITS);

   u7 = _mm_srai_epi32(v7, DCT_CONST_BITS);

   in[0] = _mm_packs_epi32(u0, u1);

   in[2] = _mm_packs_epi32(u4, u5);

   in[4] = _mm_packs_epi32(u2, u3);

   in[6] = _mm_packs_epi32(u6, u7);

   // stage 2

   // interleave and perform butterfly multiplication/addition

   u0 = _mm_unpacklo_epi16(s6, s5);

   u1 = _mm_unpackhi_epi16(s6, s5);

   v0 = _mm_madd_epi16(u0, k__cospi_p16_m16);

   v1 = _mm_madd_epi16(u1, k__cospi_p16_m16);

   v2 = _mm_madd_epi16(u0, k__cospi_p16_p16);

   v3 = _mm_madd_epi16(u1, k__cospi_p16_p16);

   // shift and rounding

   u0 = _mm_add_epi32(v0, k__DCT_CONST_ROUNDING);

   u1 = _mm_add_epi32(v1, k__DCT_CONST_ROUNDING);

   u2 = _mm_add_epi32(v2, k__DCT_CONST_ROUNDING);

   u3 = _mm_add_epi32(v3, k__DCT_CONST_ROUNDING);

   v0 = _mm_srai_epi32(u0, DCT_CONST_BITS);

   v1 = _mm_srai_epi32(u1, DCT_CONST_BITS);

   v2 = _mm_srai_epi32(u2, DCT_CONST_BITS);

   v3 = _mm_srai_epi32(u3, DCT_CONST_BITS);

   u0 = _mm_packs_epi32(v0, v1);

   u1 = _mm_packs_epi32(v2, v3);

   // stage 3

   s0 = _mm_add_epi16(s4, u0);

   s1 = _mm_sub_epi16(s4, u0);

   s2 = _mm_sub_epi16(s7, u1);

   s3 = _mm_add_epi16(s7, u1);

   // stage 4

   u0 = _mm_unpacklo_epi16(s0, s3);

   u1 = _mm_unpackhi_epi16(s0, s3);

   u2 = _mm_unpacklo_epi16(s1, s2);

   u3 = _mm_unpackhi_epi16(s1, s2);

   v0 = _mm_madd_epi16(u0, k__cospi_p28_p04);

   v1 = _mm_madd_epi16(u1, k__cospi_p28_p04);

   v2 = _mm_madd_epi16(u2, k__cospi_p12_p20);

   v3 = _mm_madd_epi16(u3, k__cospi_p12_p20);

   v4 = _mm_madd_epi16(u2, k__cospi_m20_p12);

   v5 = _mm_madd_epi16(u3, k__cospi_m20_p12);

   v6 = _mm_madd_epi16(u0, k__cospi_m04_p28);

   v7 = _mm_madd_epi16(u1, k__cospi_m04_p28);

   // shift and rounding

   u0 = _mm_add_epi32(v0, k__DCT_CONST_ROUNDING);

   u1 = _mm_add_epi32(v1, k__DCT_CONST_ROUNDING);

   u2 = _mm_add_epi32(v2, k__DCT_CONST_ROUNDING);

   u3 = _mm_add_epi32(v3, k__DCT_CONST_ROUNDING);

   u4 = _mm_add_epi32(v4, k__DCT_CONST_ROUNDING);

   u5 = _mm_add_epi32(v5, k__DCT_CONST_ROUNDING);

   u6 = _mm_add_epi32(v6, k__DCT_CONST_ROUNDING);

   u7 = _mm_add_epi32(v7, k__DCT_CONST_ROUNDING);

   v0 = _mm_srai_epi32(u0, DCT_CONST_BITS);

   v1 = _mm_srai_epi32(u1, DCT_CONST_BITS);

   v2 = _mm_srai_epi32(u2, DCT_CONST_BITS);

   v3 = _mm_srai_epi32(u3, DCT_CONST_BITS);

   v4 = _mm_srai_epi32(u4, DCT_CONST_BITS);

   v5 = _mm_srai_epi32(u5, DCT_CONST_BITS);

   v6 = _mm_srai_epi32(u6, DCT_CONST_BITS);

   v7 = _mm_srai_epi32(u7, DCT_CONST_BITS);

   in[1] = _mm_packs_epi32(v0, v1);

   in[3] = _mm_packs_epi32(v4, v5);

   in[5] = _mm_packs_epi32(v2, v3);

   in[7] = _mm_packs_epi32(v6, v7);

   // transpose

   array_transpose_8x8(in, in);

 }

 void fadst8_1d_sse2(__m128i *in) {

   // Constants

   const __m128i k__cospi_p02_p30 = pair_set_epi16(cospi_2_64, cospi_30_64);

   const __m128i k__cospi_p30_m02 = pair_set_epi16(cospi_30_64, -cospi_2_64);

   const __m128i k__cospi_p10_p22 = pair_set_epi16(cospi_10_64, cospi_22_64);

   const __m128i k__cospi_p22_m10 = pair_set_epi16(cospi_22_64, -cospi_10_64);

   const __m128i k__cospi_p18_p14 = pair_set_epi16(cospi_18_64, cospi_14_64);

   const __m128i k__cospi_p14_m18 = pair_set_epi16(cospi_14_64, -cospi_18_64);

   const __m128i k__cospi_p26_p06 = pair_set_epi16(cospi_26_64, cospi_6_64);

   const __m128i k__cospi_p06_m26 = pair_set_epi16(cospi_6_64, -cospi_26_64);

   const __m128i k__cospi_p08_p24 = pair_set_epi16(cospi_8_64, cospi_24_64);

   const __m128i k__cospi_p24_m08 = pair_set_epi16(cospi_24_64, -cospi_8_64);

   const __m128i k__cospi_m24_p08 = pair_set_epi16(-cospi_24_64, cospi_8_64);

   const __m128i k__cospi_p16_m16 = pair_set_epi16(cospi_16_64, -cospi_16_64);

   const __m128i k__cospi_p16_p16 = _mm_set1_epi16(cospi_16_64);

   const __m128i k__const_0 = _mm_set1_epi16(0);

   const __m128i k__DCT_CONST_ROUNDING = _mm_set1_epi32(DCT_CONST_ROUNDING);

   __m128i u0, u1, u2, u3, u4, u5, u6, u7, u8, u9, u10, u11, u12, u13, u14, u15;

   __m128i v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15;

   __m128i w0, w1, w2, w3, w4, w5, w6, w7, w8, w9, w10, w11, w12, w13, w14, w15;

   __m128i s0, s1, s2, s3, s4, s5, s6, s7;

   __m128i in0, in1, in2, in3, in4, in5, in6, in7;

   // properly aligned for butterfly input

   in0  = in[7];

   in1  = in[0];

   in2  = in[5];

   in3  = in[2];

   in4  = in[3];

   in5  = in[4];

   in6  = in[1];

   in7  = in[6];

   // column transformation

   // stage 1

   // interleave and multiply/add into 32-bit integer

   s0 = _mm_unpacklo_epi16(in0, in1);

   s1 = _mm_unpackhi_epi16(in0, in1);

   s2 = _mm_unpacklo_epi16(in2, in3);

   s3 = _mm_unpackhi_epi16(in2, in3);

   s4 = _mm_unpacklo_epi16(in4, in5);

   s5 = _mm_unpackhi_epi16(in4, in5);

   s6 = _mm_unpacklo_epi16(in6, in7);

   s7 = _mm_unpackhi_epi16(in6, in7);

   u0 = _mm_madd_epi16(s0, k__cospi_p02_p30);

   u1 = _mm_madd_epi16(s1, k__cospi_p02_p30);

   u2 = _mm_madd_epi16(s0, k__cospi_p30_m02);

   u3 = _mm_madd_epi16(s1, k__cospi_p30_m02);

   u4 = _mm_madd_epi16(s2, k__cospi_p10_p22);

   u5 = _mm_madd_epi16(s3, k__cospi_p10_p22);

   u6 = _mm_madd_epi16(s2, k__cospi_p22_m10);

   u7 = _mm_madd_epi16(s3, k__cospi_p22_m10);

   u8 = _mm_madd_epi16(s4, k__cospi_p18_p14);

   u9 = _mm_madd_epi16(s5, k__cospi_p18_p14);

   u10 = _mm_madd_epi16(s4, k__cospi_p14_m18);

   u11 = _mm_madd_epi16(s5, k__cospi_p14_m18);

   u12 = _mm_madd_epi16(s6, k__cospi_p26_p06);

   u13 = _mm_madd_epi16(s7, k__cospi_p26_p06);

   u14 = _mm_madd_epi16(s6, k__cospi_p06_m26);

   u15 = _mm_madd_epi16(s7, k__cospi_p06_m26);

   // addition

   w0 = _mm_add_epi32(u0, u8);

   w1 = _mm_add_epi32(u1, u9);

   w2 = _mm_add_epi32(u2, u10);

   w3 = _mm_add_epi32(u3, u11);

   w4 = _mm_add_epi32(u4, u12);

   w5 = _mm_add_epi32(u5, u13);

   w6 = _mm_add_epi32(u6, u14);

   w7 = _mm_add_epi32(u7, u15);

   w8 = _mm_sub_epi32(u0, u8);

   w9 = _mm_sub_epi32(u1, u9);

   w10 = _mm_sub_epi32(u2, u10);

   w11 = _mm_sub_epi32(u3, u11);

   w12 = _mm_sub_epi32(u4, u12);

   w13 = _mm_sub_epi32(u5, u13);

   w14 = _mm_sub_epi32(u6, u14);

   w15 = _mm_sub_epi32(u7, u15);

   // shift and rounding

   v0 = _mm_add_epi32(w0, k__DCT_CONST_ROUNDING);

   v1 = _mm_add_epi32(w1, k__DCT_CONST_ROUNDING);

   v2 = _mm_add_epi32(w2, k__DCT_CONST_ROUNDING);

   v3 = _mm_add_epi32(w3, k__DCT_CONST_ROUNDING);

   v4 = _mm_add_epi32(w4, k__DCT_CONST_ROUNDING);

   v5 = _mm_add_epi32(w5, k__DCT_CONST_ROUNDING);

   v6 = _mm_add_epi32(w6, k__DCT_CONST_ROUNDING);

   v7 = _mm_add_epi32(w7, k__DCT_CONST_ROUNDING);

   v8 = _mm_add_epi32(w8, k__DCT_CONST_ROUNDING);

   v9 = _mm_add_epi32(w9, k__DCT_CONST_ROUNDING);

   v10 = _mm_add_epi32(w10, k__DCT_CONST_ROUNDING);

   v11 = _mm_add_epi32(w11, k__DCT_CONST_ROUNDING);

   v12 = _mm_add_epi32(w12, k__DCT_CONST_ROUNDING);

   v13 = _mm_add_epi32(w13, k__DCT_CONST_ROUNDING);

   v14 = _mm_add_epi32(w14, k__DCT_CONST_ROUNDING);

   v15 = _mm_add_epi32(w15, k__DCT_CONST_ROUNDING);

   u0 = _mm_srai_epi32(v0, DCT_CONST_BITS);

   u1 = _mm_srai_epi32(v1, DCT_CONST_BITS);

   u2 = _mm_srai_epi32(v2, DCT_CONST_BITS);

   u3 = _mm_srai_epi32(v3, DCT_CONST_BITS);

   u4 = _mm_srai_epi32(v4, DCT_CONST_BITS);

   u5 = _mm_srai_epi32(v5, DCT_CONST_BITS);

   u6 = _mm_srai_epi32(v6, DCT_CONST_BITS);

   u7 = _mm_srai_epi32(v7, DCT_CONST_BITS);

   u8 = _mm_srai_epi32(v8, DCT_CONST_BITS);

   u9 = _mm_srai_epi32(v9, DCT_CONST_BITS);

   u10 = _mm_srai_epi32(v10, DCT_CONST_BITS);

   u11 = _mm_srai_epi32(v11, DCT_CONST_BITS);

   u12 = _mm_srai_epi32(v12, DCT_CONST_BITS);

   u13 = _mm_srai_epi32(v13, DCT_CONST_BITS);

   u14 = _mm_srai_epi32(v14, DCT_CONST_BITS);

   u15 = _mm_srai_epi32(v15, DCT_CONST_BITS);

   // back to 16-bit and pack 8 integers into __m128i

   in[0] = _mm_packs_epi32(u0, u1);

   in[1] = _mm_packs_epi32(u2, u3);

   in[2] = _mm_packs_epi32(u4, u5);

   in[3] = _mm_packs_epi32(u6, u7);

   in[4] = _mm_packs_epi32(u8, u9);

   in[5] = _mm_packs_epi32(u10, u11);

   in[6] = _mm_packs_epi32(u12, u13);

   in[7] = _mm_packs_epi32(u14, u15);

   // stage 2

   s0 = _mm_add_epi16(in[0], in[2]);

   s1 = _mm_add_epi16(in[1], in[3]);

   s2 = _mm_sub_epi16(in[0], in[2]);

   s3 = _mm_sub_epi16(in[1], in[3]);

   u0 = _mm_unpacklo_epi16(in[4], in[5]);

   u1 = _mm_unpackhi_epi16(in[4], in[5]);

   u2 = _mm_unpacklo_epi16(in[6], in[7]);

   u3 = _mm_unpackhi_epi16(in[6], in[7]);

   v0 = _mm_madd_epi16(u0, k__cospi_p08_p24);

   v1 = _mm_madd_epi16(u1, k__cospi_p08_p24);

   v2 = _mm_madd_epi16(u0, k__cospi_p24_m08);

   v3 = _mm_madd_epi16(u1, k__cospi_p24_m08);

   v4 = _mm_madd_epi16(u2, k__cospi_m24_p08);

   v5 = _mm_madd_epi16(u3, k__cospi_m24_p08);

   v6 = _mm_madd_epi16(u2, k__cospi_p08_p24);

   v7 = _mm_madd_epi16(u3, k__cospi_p08_p24);

   w0 = _mm_add_epi32(v0, v4);

   w1 = _mm_add_epi32(v1, v5);

   w2 = _mm_add_epi32(v2, v6);

   w3 = _mm_add_epi32(v3, v7);

   w4 = _mm_sub_epi32(v0, v4);

   w5 = _mm_sub_epi32(v1, v5);

   w6 = _mm_sub_epi32(v2, v6);

   w7 = _mm_sub_epi32(v3, v7);

   v0 = _mm_add_epi32(w0, k__DCT_CONST_ROUNDING);

   v1 = _mm_add_epi32(w1, k__DCT_CONST_ROUNDING);

   v2 = _mm_add_epi32(w2, k__DCT_CONST_ROUNDING);

   v3 = _mm_add_epi32(w3, k__DCT_CONST_ROUNDING);

   v4 = _mm_add_epi32(w4, k__DCT_CONST_ROUNDING);

   v5 = _mm_add_epi32(w5, k__DCT_CONST_ROUNDING);

   v6 = _mm_add_epi32(w6, k__DCT_CONST_ROUNDING);

   v7 = _mm_add_epi32(w7, k__DCT_CONST_ROUNDING);

   u0 = _mm_srai_epi32(v0, DCT_CONST_BITS);

   u1 = _mm_srai_epi32(v1, DCT_CONST_BITS);

   u2 = _mm_srai_epi32(v2, DCT_CONST_BITS);

   u3 = _mm_srai_epi32(v3, DCT_CONST_BITS);

   u4 = _mm_srai_epi32(v4, DCT_CONST_BITS);

   u5 = _mm_srai_epi32(v5, DCT_CONST_BITS);

   u6 = _mm_srai_epi32(v6, DCT_CONST_BITS);

   u7 = _mm_srai_epi32(v7, DCT_CONST_BITS);

   // back to 16-bit intergers

   s4 = _mm_packs_epi32(u0, u1);

   s5 = _mm_packs_epi32(u2, u3);

   s6 = _mm_packs_epi32(u4, u5);

   s7 = _mm_packs_epi32(u6, u7);

   // stage 3

   u0 = _mm_unpacklo_epi16(s2, s3);

   u1 = _mm_unpackhi_epi16(s2, s3);

   u2 = _mm_unpacklo_epi16(s6, s7);

   u3 = _mm_unpackhi_epi16(s6, s7);

   v0 = _mm_madd_epi16(u0, k__cospi_p16_p16);

   v1 = _mm_madd_epi16(u1, k__cospi_p16_p16);

   v2 = _mm_madd_epi16(u0, k__cospi_p16_m16);

   v3 = _mm_madd_epi16(u1, k__cospi_p16_m16);

   v4 = _mm_madd_epi16(u2, k__cospi_p16_p16);

   v5 = _mm_madd_epi16(u3, k__cospi_p16_p16);

   v6 = _mm_madd_epi16(u2, k__cospi_p16_m16);

   v7 = _mm_madd_epi16(u3, k__cospi_p16_m16);

   u0 = _mm_add_epi32(v0, k__DCT_CONST_ROUNDING);

   u1 = _mm_add_epi32(v1, k__DCT_CONST_ROUNDING);

   u2 = _mm_add_epi32(v2, k__DCT_CONST_ROUNDING);

   u3 = _mm_add_epi32(v3, k__DCT_CONST_ROUNDING);

   u4 = _mm_add_epi32(v4, k__DCT_CONST_ROUNDING);

   u5 = _mm_add_epi32(v5, k__DCT_CONST_ROUNDING);

   u6 = _mm_add_epi32(v6, k__DCT_CONST_ROUNDING);

   u7 = _mm_add_epi32(v7, k__DCT_CONST_ROUNDING);

   v0 = _mm_srai_epi32(u0, DCT_CONST_BITS);

   v1 = _mm_srai_epi32(u1, DCT_CONST_BITS);

   v2 = _mm_srai_epi32(u2, DCT_CONST_BITS);

   v3 = _mm_srai_epi32(u3, DCT_CONST_BITS);

   v4 = _mm_srai_epi32(u4, DCT_CONST_BITS);

   v5 = _mm_srai_epi32(u5, DCT_CONST_BITS);

   v6 = _mm_srai_epi32(u6, DCT_CONST_BITS);

   v7 = _mm_srai_epi32(u7, DCT_CONST_BITS);

   s2 = _mm_packs_epi32(v0, v1);

   s3 = _mm_packs_epi32(v2, v3);

   s6 = _mm_packs_epi32(v4, v5);

   s7 = _mm_packs_epi32(v6, v7);

   // FIXME(jingning): do subtract using bit inversion?

   in[0] = s0;

   in[1] = _mm_sub_epi16(k__const_0, s4);

   in[2] = s6;

   in[3] = _mm_sub_epi16(k__const_0, s2);

   in[4] = s3;

   in[5] = _mm_sub_epi16(k__const_0, s7);

   in[6] = s5;

   in[7] = _mm_sub_epi16(k__const_0, s1);

   // transpose

   array_transpose_8x8(in, in);

 }

 void vp9_short_fht8x8_sse2(const int16_t *input, int16_t *output,

                            int stride, int tx_type) {

   __m128i in[8];

   load_buffer_8x8(input, in, stride);

   switch (tx_type) {

     case 0:  // DCT_DCT

       fdct8_1d_sse2(in);

       fdct8_1d_sse2(in);

       break;

     case 1:  // ADST_DCT

       fadst8_1d_sse2(in);

       fdct8_1d_sse2(in);

       break;

     case 2:  // DCT_ADST

       fdct8_1d_sse2(in);

       fadst8_1d_sse2(in);

       break;

     case 3:  // ADST_ADST

       fadst8_1d_sse2(in);

       fadst8_1d_sse2(in);

       break;

     default:

       assert(0);

       break;

   }

   right_shift_8x8(in, 1);

   write_buffer_8x8(output, in, 8);

 }

 void vp9_fdct16x16_sse2(const int16_t *input, int16_t *output, int stride) {

   // The 2D transform is done with two passes which are actually pretty

   // similar. In the first one, we transform the columns and transpose

   // the results. In the second one, we transform the rows. To achieve that,

   // as the first pass results are transposed, we tranpose the columns (that

   // is the transposed rows) and transpose the results (so that it goes back

   // in normal/row positions).

   int pass;

   // We need an intermediate buffer between passes.

   DECLARE_ALIGNED_ARRAY(16, int16_t, intermediate, 256);

   const int16_t *in = input;

   int16_t *out = intermediate;

   // Constants

   //    When we use them, in one case, they are all the same. In all others

   //    it's a pair of them that we need to repeat four times. This is done

   //    by constructing the 32 bit constant corresponding to that pair.

   const __m128i k__cospi_p16_p16 = _mm_set1_epi16(cospi_16_64);

   const __m128i k__cospi_p16_m16 = pair_set_epi16(cospi_16_64, -cospi_16_64);

   const __m128i k__cospi_p24_p08 = pair_set_epi16(cospi_24_64, cospi_8_64);

   const __m128i k__cospi_m24_m08 = pair_set_epi16(-cospi_24_64, -cospi_8_64);

   const __m128i k__cospi_m08_p24 = pair_set_epi16(-cospi_8_64, cospi_24_64);

   const __m128i k__cospi_p28_p04 = pair_set_epi16(cospi_28_64, cospi_4_64);

   const __m128i k__cospi_m04_p28 = pair_set_epi16(-cospi_4_64, cospi_28_64);

   const __m128i k__cospi_p12_p20 = pair_set_epi16(cospi_12_64, cospi_20_64);

   const __m128i k__cospi_m20_p12 = pair_set_epi16(-cospi_20_64, cospi_12_64);

   const __m128i k__cospi_p30_p02 = pair_set_epi16(cospi_30_64, cospi_2_64);

   const __m128i k__cospi_p14_p18 = pair_set_epi16(cospi_14_64, cospi_18_64);

   const __m128i k__cospi_m02_p30 = pair_set_epi16(-cospi_2_64, cospi_30_64);

   const __m128i k__cospi_m18_p14 = pair_set_epi16(-cospi_18_64, cospi_14_64);

   const __m128i k__cospi_p22_p10 = pair_set_epi16(cospi_22_64, cospi_10_64);

   const __m128i k__cospi_p06_p26 = pair_set_epi16(cospi_6_64, cospi_26_64);

   const __m128i k__cospi_m10_p22 = pair_set_epi16(-cospi_10_64, cospi_22_64);

   const __m128i k__cospi_m26_p06 = pair_set_epi16(-cospi_26_64, cospi_6_64);

   const __m128i k__DCT_CONST_ROUNDING = _mm_set1_epi32(DCT_CONST_ROUNDING);

   const __m128i kOne = _mm_set1_epi16(1);

   // Do the two transform/transpose passes

   for (pass = 0; pass < 2; ++pass) {

     // We process eight columns (transposed rows in second pass) at a time.

     int column_start;

     for (column_start = 0; column_start < 16; column_start += 8) {

       __m128i in00, in01, in02, in03, in04, in05, in06, in07;

       __m128i in08, in09, in10, in11, in12, in13, in14, in15;

       __m128i input0, input1, input2, input3, input4, input5, input6, input7;

       __m128i step1_0, step1_1, step1_2, step1_3;

       __m128i step1_4, step1_5, step1_6, step1_7;

       __m128i step2_1, step2_2, step2_3, step2_4, step2_5, step2_6;

       __m128i step3_0, step3_1, step3_2, step3_3;

       __m128i step3_4, step3_5, step3_6, step3_7;

       __m128i res00, res01, res02, res03, res04, res05, res06, res07;

       __m128i res08, res09, res10, res11, res12, res13, res14, res15;

       // Load and pre-condition input.

       if (0 == pass) {

         in00  = _mm_load_si128((const __m128i *)(in +  0 * stride));

         in01  = _mm_load_si128((const __m128i *)(in +  1 * stride));

         in02  = _mm_load_si128((const __m128i *)(in +  2 * stride));

         in03  = _mm_load_si128((const __m128i *)(in +  3 * stride));

         in04  = _mm_load_si128((const __m128i *)(in +  4 * stride));

         in05  = _mm_load_si128((const __m128i *)(in +  5 * stride));

         in06  = _mm_load_si128((const __m128i *)(in +  6 * stride));

         in07  = _mm_load_si128((const __m128i *)(in +  7 * stride));

         in08  = _mm_load_si128((const __m128i *)(in +  8 * stride));

         in09  = _mm_load_si128((const __m128i *)(in +  9 * stride));

         in10  = _mm_load_si128((const __m128i *)(in + 10 * stride));

         in11  = _mm_load_si128((const __m128i *)(in + 11 * stride));

         in12  = _mm_load_si128((const __m128i *)(in + 12 * stride));

         in13  = _mm_load_si128((const __m128i *)(in + 13 * stride));

         in14  = _mm_load_si128((const __m128i *)(in + 14 * stride));

         in15  = _mm_load_si128((const __m128i *)(in + 15 * stride));

         // x = x << 2

         in00 = _mm_slli_epi16(in00, 2);

         in01 = _mm_slli_epi16(in01, 2);

         in02 = _mm_slli_epi16(in02, 2);

         in03 = _mm_slli_epi16(in03, 2);

         in04 = _mm_slli_epi16(in04, 2);

         in05 = _mm_slli_epi16(in05, 2);

         in06 = _mm_slli_epi16(in06, 2);

         in07 = _mm_slli_epi16(in07, 2);

         in08 = _mm_slli_epi16(in08, 2);

         in09 = _mm_slli_epi16(in09, 2);

         in10 = _mm_slli_epi16(in10, 2);

         in11 = _mm_slli_epi16(in11, 2);

         in12 = _mm_slli_epi16(in12, 2);

         in13 = _mm_slli_epi16(in13, 2);

         in14 = _mm_slli_epi16(in14, 2);

         in15 = _mm_slli_epi16(in15, 2);

       } else {

         in00  = _mm_load_si128((const __m128i *)(in +  0 * 16));

         in01  = _mm_load_si128((const __m128i *)(in +  1 * 16));

         in02  = _mm_load_si128((const __m128i *)(in +  2 * 16));

         in03  = _mm_load_si128((const __m128i *)(in +  3 * 16));

         in04  = _mm_load_si128((const __m128i *)(in +  4 * 16));

         in05  = _mm_load_si128((const __m128i *)(in +  5 * 16));

         in06  = _mm_load_si128((const __m128i *)(in +  6 * 16));

         in07  = _mm_load_si128((const __m128i *)(in +  7 * 16));

         in08  = _mm_load_si128((const __m128i *)(in +  8 * 16));

         in09  = _mm_load_si128((const __m128i *)(in +  9 * 16));

         in10  = _mm_load_si128((const __m128i *)(in + 10 * 16));

         in11  = _mm_load_si128((const __m128i *)(in + 11 * 16));

         in12  = _mm_load_si128((const __m128i *)(in + 12 * 16));

         in13  = _mm_load_si128((const __m128i *)(in + 13 * 16));

         in14  = _mm_load_si128((const __m128i *)(in + 14 * 16));

         in15  = _mm_load_si128((const __m128i *)(in + 15 * 16));

         // x = (x + 1) >> 2

         in00 = _mm_add_epi16(in00, kOne);

         in01 = _mm_add_epi16(in01, kOne);

         in02 = _mm_add_epi16(in02, kOne);

         in03 = _mm_add_epi16(in03, kOne);

         in04 = _mm_add_epi16(in04, kOne);

         in05 = _mm_add_epi16(in05, kOne);

         in06 = _mm_add_epi16(in06, kOne);

         in07 = _mm_add_epi16(in07, kOne);

         in08 = _mm_add_epi16(in08, kOne);

         in09 = _mm_add_epi16(in09, kOne);

         in10 = _mm_add_epi16(in10, kOne);

         in11 = _mm_add_epi16(in11, kOne);

         in12 = _mm_add_epi16(in12, kOne);

         in13 = _mm_add_epi16(in13, kOne);

         in14 = _mm_add_epi16(in14, kOne);

         in15 = _mm_add_epi16(in15, kOne);

         in00 = _mm_srai_epi16(in00, 2);

         in01 = _mm_srai_epi16(in01, 2);

         in02 = _mm_srai_epi16(in02, 2);

         in03 = _mm_srai_epi16(in03, 2);

         in04 = _mm_srai_epi16(in04, 2);

         in05 = _mm_srai_epi16(in05, 2);

         in06 = _mm_srai_epi16(in06, 2);

         in07 = _mm_srai_epi16(in07, 2);

         in08 = _mm_srai_epi16(in08, 2);

         in09 = _mm_srai_epi16(in09, 2);

         in10 = _mm_srai_epi16(in10, 2);

         in11 = _mm_srai_epi16(in11, 2);

         in12 = _mm_srai_epi16(in12, 2);

         in13 = _mm_srai_epi16(in13, 2);

         in14 = _mm_srai_epi16(in14, 2);

         in15 = _mm_srai_epi16(in15, 2);

       }

       in += 8;

       // Calculate input for the first 8 results.

       {

         input0 = _mm_add_epi16(in00, in15);

         input1 = _mm_add_epi16(in01, in14);

         input2 = _mm_add_epi16(in02, in13);

         input3 = _mm_add_epi16(in03, in12);

         input4 = _mm_add_epi16(in04, in11);

         input5 = _mm_add_epi16(in05, in10);

         input6 = _mm_add_epi16(in06, in09);

         input7 = _mm_add_epi16(in07, in08);

       }

       // Calculate input for the next 8 results.

       {

         step1_0 = _mm_sub_epi16(in07, in08);

         step1_1 = _mm_sub_epi16(in06, in09);

         step1_2 = _mm_sub_epi16(in05, in10);

         step1_3 = _mm_sub_epi16(in04, in11);

         step1_4 = _mm_sub_epi16(in03, in12);

         step1_5 = _mm_sub_epi16(in02, in13);

         step1_6 = _mm_sub_epi16(in01, in14);

         step1_7 = _mm_sub_epi16(in00, in15);

       }

       // Work on the first eight values; fdct8_1d(input, even_results);

       {

         // Add/substract

         const __m128i q0 = _mm_add_epi16(input0, input7);

         const __m128i q1 = _mm_add_epi16(input1, input6);

         const __m128i q2 = _mm_add_epi16(input2, input5);

         const __m128i q3 = _mm_add_epi16(input3, input4);

         const __m128i q4 = _mm_sub_epi16(input3, input4);

         const __m128i q5 = _mm_sub_epi16(input2, input5);

         const __m128i q6 = _mm_sub_epi16(input1, input6);

         const __m128i q7 = _mm_sub_epi16(input0, input7);

         // Work on first four results

         {

           // Add/substract

           const __m128i r0 = _mm_add_epi16(q0, q3);

           const __m128i r1 = _mm_add_epi16(q1, q2);

           const __m128i r2 = _mm_sub_epi16(q1, q2);

           const __m128i r3 = _mm_sub_epi16(q0, q3);

           // Interleave to do the multiply by constants which gets us

           // into 32 bits.

           const __m128i t0 = _mm_unpacklo_epi16(r0, r1);

           const __m128i t1 = _mm_unpackhi_epi16(r0, r1);

           const __m128i t2 = _mm_unpacklo_epi16(r2, r3);

           const __m128i t3 = _mm_unpackhi_epi16(r2, r3);

           const __m128i u0 = _mm_madd_epi16(t0, k__cospi_p16_p16);

           const __m128i u1 = _mm_madd_epi16(t1, k__cospi_p16_p16);

           const __m128i u2 = _mm_madd_epi16(t0, k__cospi_p16_m16);

           const __m128i u3 = _mm_madd_epi16(t1, k__cospi_p16_m16);

           const __m128i u4 = _mm_madd_epi16(t2, k__cospi_p24_p08);

           const __m128i u5 = _mm_madd_epi16(t3, k__cospi_p24_p08);

           const __m128i u6 = _mm_madd_epi16(t2, k__cospi_m08_p24);

           const __m128i u7 = _mm_madd_epi16(t3, k__cospi_m08_p24);

           // dct_const_round_shift

           const __m128i v0 = _mm_add_epi32(u0, k__DCT_CONST_ROUNDING);

           const __m128i v1 = _mm_add_epi32(u1, k__DCT_CONST_ROUNDING);

           const __m128i v2 = _mm_add_epi32(u2, k__DCT_CONST_ROUNDING);

           const __m128i v3 = _mm_add_epi32(u3, k__DCT_CONST_ROUNDING);

           const __m128i v4 = _mm_add_epi32(u4, k__DCT_CONST_ROUNDING);

           const __m128i v5 = _mm_add_epi32(u5, k__DCT_CONST_ROUNDING);

           const __m128i v6 = _mm_add_epi32(u6, k__DCT_CONST_ROUNDING);

           const __m128i v7 = _mm_add_epi32(u7, k__DCT_CONST_ROUNDING);

           const __m128i w0 = _mm_srai_epi32(v0, DCT_CONST_BITS);

           const __m128i w1 = _mm_srai_epi32(v1, DCT_CONST_BITS);

           const __m128i w2 = _mm_srai_epi32(v2, DCT_CONST_BITS);

           const __m128i w3 = _mm_srai_epi32(v3, DCT_CONST_BITS);

           const __m128i w4 = _mm_srai_epi32(v4, DCT_CONST_BITS);

           const __m128i w5 = _mm_srai_epi32(v5, DCT_CONST_BITS);

           const __m128i w6 = _mm_srai_epi32(v6, DCT_CONST_BITS);

           const __m128i w7 = _mm_srai_epi32(v7, DCT_CONST_BITS);

           // Combine

           res00 = _mm_packs_epi32(w0, w1);

           res08 = _mm_packs_epi32(w2, w3);

           res04 = _mm_packs_epi32(w4, w5);

           res12 = _mm_packs_epi32(w6, w7);

         }

         // Work on next four results

         {

           // Interleave to do the multiply by constants which gets us

           // into 32 bits.

           const __m128i d0 = _mm_unpacklo_epi16(q6, q5);

           const __m128i d1 = _mm_unpackhi_epi16(q6, q5);

           const __m128i e0 = _mm_madd_epi16(d0, k__cospi_p16_m16);

           const __m128i e1 = _mm_madd_epi16(d1, k__cospi_p16_m16);

           const __m128i e2 = _mm_madd_epi16(d0, k__cospi_p16_p16);

           const __m128i e3 = _mm_madd_epi16(d1, k__cospi_p16_p16);

           // dct_const_round_shift

           const __m128i f0 = _mm_add_epi32(e0, k__DCT_CONST_ROUNDING);

           const __m128i f1 = _mm_add_epi32(e1, k__DCT_CONST_ROUNDING);

           const __m128i f2 = _mm_add_epi32(e2, k__DCT_CONST_ROUNDING);

           const __m128i f3 = _mm_add_epi32(e3, k__DCT_CONST_ROUNDING);

           const __m128i s0 = _mm_srai_epi32(f0, DCT_CONST_BITS);

           const __m128i s1 = _mm_srai_epi32(f1, DCT_CONST_BITS);

           const __m128i s2 = _mm_srai_epi32(f2, DCT_CONST_BITS);

           const __m128i s3 = _mm_srai_epi32(f3, DCT_CONST_BITS);

           // Combine

           const __m128i r0 = _mm_packs_epi32(s0, s1);

           const __m128i r1 = _mm_packs_epi32(s2, s3);

           // Add/substract

           const __m128i x0 = _mm_add_epi16(q4, r0);

           const __m128i x1 = _mm_sub_epi16(q4, r0);

           const __m128i x2 = _mm_sub_epi16(q7, r1);

           const __m128i x3 = _mm_add_epi16(q7, r1);

           // Interleave to do the multiply by constants which gets us

           // into 32 bits.

           const __m128i t0 = _mm_unpacklo_epi16(x0, x3);

           const __m128i t1 = _mm_unpackhi_epi16(x0, x3);

           const __m128i t2 = _mm_unpacklo_epi16(x1, x2);

           const __m128i t3 = _mm_unpackhi_epi16(x1, x2);

           const __m128i u0 = _mm_madd_epi16(t0, k__cospi_p28_p04);

           const __m128i u1 = _mm_madd_epi16(t1, k__cospi_p28_p04);

           const __m128i u2 = _mm_madd_epi16(t0, k__cospi_m04_p28);

           const __m128i u3 = _mm_madd_epi16(t1, k__cospi_m04_p28);

           const __m128i u4 = _mm_madd_epi16(t2, k__cospi_p12_p20);

           const __m128i u5 = _mm_madd_epi16(t3, k__cospi_p12_p20);

           const __m128i u6 = _mm_madd_epi16(t2, k__cospi_m20_p12);

           const __m128i u7 = _mm_madd_epi16(t3, k__cospi_m20_p12);

           // dct_const_round_shift

           const __m128i v0 = _mm_add_epi32(u0, k__DCT_CONST_ROUNDING);

           const __m128i v1 = _mm_add_epi32(u1, k__DCT_CONST_ROUNDING);

           const __m128i v2 = _mm_add_epi32(u2, k__DCT_CONST_ROUNDING);

           const __m128i v3 = _mm_add_epi32(u3, k__DCT_CONST_ROUNDING);

           const __m128i v4 = _mm_add_epi32(u4, k__DCT_CONST_ROUNDING);

           const __m128i v5 = _mm_add_epi32(u5, k__DCT_CONST_ROUNDING);

           const __m128i v6 = _mm_add_epi32(u6, k__DCT_CONST_ROUNDING);

           const __m128i v7 = _mm_add_epi32(u7, k__DCT_CONST_ROUNDING);

           const __m128i w0 = _mm_srai_epi32(v0, DCT_CONST_BITS);

           const __m128i w1 = _mm_srai_epi32(v1, DCT_CONST_BITS);

           const __m128i w2 = _mm_srai_epi32(v2, DCT_CONST_BITS);

           const __m128i w3 = _mm_srai_epi32(v3, DCT_CONST_BITS);

           const __m128i w4 = _mm_srai_epi32(v4, DCT_CONST_BITS);

           const __m128i w5 = _mm_srai_epi32(v5, DCT_CONST_BITS);

           const __m128i w6 = _mm_srai_epi32(v6, DCT_CONST_BITS);

           const __m128i w7 = _mm_srai_epi32(v7, DCT_CONST_BITS);

           // Combine

           res02 = _mm_packs_epi32(w0, w1);

           res14 = _mm_packs_epi32(w2, w3);

           res10 = _mm_packs_epi32(w4, w5);

           res06 = _mm_packs_epi32(w6, w7);

         }

       }

       // Work on the next eight values; step1 -> odd_results

       {

         // step 2

         {

           const __m128i t0 = _mm_unpacklo_epi16(step1_5, step1_2);

           const __m128i t1 = _mm_unpackhi_epi16(step1_5, step1_2);

           const __m128i t2 = _mm_unpacklo_epi16(step1_4, step1_3);

           const __m128i t3 = _mm_unpackhi_epi16(step1_4, step1_3);

           const __m128i u0 = _mm_madd_epi16(t0, k__cospi_p16_m16);

           const __m128i u1 = _mm_madd_epi16(t1, k__cospi_p16_m16);

           const __m128i u2 = _mm_madd_epi16(t2, k__cospi_p16_m16);

           const __m128i u3 = _mm_madd_epi16(t3, k__cospi_p16_m16);

           // dct_const_round_shift

           const __m128i v0 = _mm_add_epi32(u0, k__DCT_CONST_ROUNDING);

           const __m128i v1 = _mm_add_epi32(u1, k__DCT_CONST_ROUNDING);

           const __m128i v2 = _mm_add_epi32(u2, k__DCT_CONST_ROUNDING);

           const __m128i v3 = _mm_add_epi32(u3, k__DCT_CONST_ROUNDING);

           const __m128i w0 = _mm_srai_epi32(v0, DCT_CONST_BITS);

           const __m128i w1 = _mm_srai_epi32(v1, DCT_CONST_BITS);

           const __m128i w2 = _mm_srai_epi32(v2, DCT_CONST_BITS);

           const __m128i w3 = _mm_srai_epi32(v3, DCT_CONST_BITS);

           // Combine

           step2_2 = _mm_packs_epi32(w0, w1);

           step2_3 = _mm_packs_epi32(w2, w3);

         }

         {

           const __m128i t0 = _mm_unpacklo_epi16(step1_5, step1_2);

           const __m128i t1 = _mm_unpackhi_epi16(step1_5, step1_2);

           const __m128i t2 = _mm_unpacklo_epi16(step1_4, step1_3);

           const __m128i t3 = _mm_unpackhi_epi16(step1_4, step1_3);

           const __m128i u0 = _mm_madd_epi16(t0, k__cospi_p16_p16);

           const __m128i u1 = _mm_madd_epi16(t1, k__cospi_p16_p16);

           const __m128i u2 = _mm_madd_epi16(t2, k__cospi_p16_p16);

           const __m128i u3 = _mm_madd_epi16(t3, k__cospi_p16_p16);

           // dct_const_round_shift

           const __m128i v0 = _mm_add_epi32(u0, k__DCT_CONST_ROUNDING);

           const __m128i v1 = _mm_add_epi32(u1, k__DCT_CONST_ROUNDING);

           const __m128i v2 = _mm_add_epi32(u2, k__DCT_CONST_ROUNDING);

           const __m128i v3 = _mm_add_epi32(u3, k__DCT_CONST_ROUNDING);

           const __m128i w0 = _mm_srai_epi32(v0, DCT_CONST_BITS);

           const __m128i w1 = _mm_srai_epi32(v1, DCT_CONST_BITS);

           const __m128i w2 = _mm_srai_epi32(v2, DCT_CONST_BITS);

           const __m128i w3 = _mm_srai_epi32(v3, DCT_CONST_BITS);

           // Combine

           step2_5 = _mm_packs_epi32(w0, w1);

           step2_4 = _mm_packs_epi32(w2, w3);

         }

         // step 3

         {

           step3_0 = _mm_add_epi16(step1_0, step2_3);

           step3_1 = _mm_add_epi16(step1_1, step2_2);

           step3_2 = _mm_sub_epi16(step1_1, step2_2);

           step3_3 = _mm_sub_epi16(step1_0, step2_3);

           step3_4 = _mm_sub_epi16(step1_7, step2_4);

           step3_5 = _mm_sub_epi16(step1_6, step2_5);

           step3_6 = _mm_add_epi16(step1_6, step2_5);

           step3_7 = _mm_add_epi16(step1_7, step2_4);

         }

         // step 4

         {

           const __m128i t0 = _mm_unpacklo_epi16(step3_1, step3_6);

           const __m128i t1 = _mm_unpackhi_epi16(step3_1, step3_6);

           const __m128i t2 = _mm_unpacklo_epi16(step3_2, step3_5);

           const __m128i t3 = _mm_unpackhi_epi16(step3_2, step3_5);

           const __m128i u0 = _mm_madd_epi16(t0, k__cospi_m08_p24);

           const __m128i u1 = _mm_madd_epi16(t1, k__cospi_m08_p24);

           const __m128i u2 = _mm_madd_epi16(t2, k__cospi_m24_m08);

           const __m128i u3 = _mm_madd_epi16(t3, k__cospi_m24_m08);

           // dct_const_round_shift

           const __m128i v0 = _mm_add_epi32(u0, k__DCT_CONST_ROUNDING);

           const __m128i v1 = _mm_add_epi32(u1, k__DCT_CONST_ROUNDING);

           const __m128i v2 = _mm_add_epi32(u2, k__DCT_CONST_ROUNDING);

           const __m128i v3 = _mm_add_epi32(u3, k__DCT_CONST_ROUNDING);

           const __m128i w0 = _mm_srai_epi32(v0, DCT_CONST_BITS);

           const __m128i w1 = _mm_srai_epi32(v1, DCT_CONST_BITS);

           const __m128i w2 = _mm_srai_epi32(v2, DCT_CONST_BITS);

           const __m128i w3 = _mm_srai_epi32(v3, DCT_CONST_BITS);

           // Combine

           step2_1 = _mm_packs_epi32(w0, w1);

           step2_2 = _mm_packs_epi32(w2, w3);

         }

         {

           const __m128i t0 = _mm_unpacklo_epi16(step3_1, step3_6);

           const __m128i t1 = _mm_unpackhi_epi16(step3_1, step3_6);

           const __m128i t2 = _mm_unpacklo_epi16(step3_2, step3_5);

           const __m128i t3 = _mm_unpackhi_epi16(step3_2, step3_5);

           const __m128i u0 = _mm_madd_epi16(t0, k__cospi_p24_p08);

           const __m128i u1 = _mm_madd_epi16(t1, k__cospi_p24_p08);

           const __m128i u2 = _mm_madd_epi16(t2, k__cospi_m08_p24);

           const __m128i u3 = _mm_madd_epi16(t3, k__cospi_m08_p24);

           // dct_const_round_shift

           const __m128i v0 = _mm_add_epi32(u0, k__DCT_CONST_ROUNDING);

           const __m128i v1 = _mm_add_epi32(u1, k__DCT_CONST_ROUNDING);

           const __m128i v2 = _mm_add_epi32(u2, k__DCT_CONST_ROUNDING);

           const __m128i v3 = _mm_add_epi32(u3, k__DCT_CONST_ROUNDING);

           const __m128i w0 = _mm_srai_epi32(v0, DCT_CONST_BITS);

           const __m128i w1 = _mm_srai_epi32(v1, DCT_CONST_BITS);

           const __m128i w2 = _mm_srai_epi32(v2, DCT_CONST_BITS);

           const __m128i w3 = _mm_srai_epi32(v3, DCT_CONST_BITS);

           // Combine

           step2_6 = _mm_packs_epi32(w0, w1);

           step2_5 = _mm_packs_epi32(w2, w3);

         }

         // step 5

         {

           step1_0 = _mm_add_epi16(step3_0, step2_1);

           step1_1 = _mm_sub_epi16(step3_0, step2_1);

           step1_2 = _mm_sub_epi16(step3_3, step2_2);

           step1_3 = _mm_add_epi16(step3_3, step2_2);

           step1_4 = _mm_add_epi16(step3_4, step2_5);

           step1_5 = _mm_sub_epi16(step3_4, step2_5);

           step1_6 = _mm_sub_epi16(step3_7, step2_6);

           step1_7 = _mm_add_epi16(step3_7, step2_6);

         }

         // step 6

         {

           const __m128i t0 = _mm_unpacklo_epi16(step1_0, step1_7);

           const __m128i t1 = _mm_unpackhi_epi16(step1_0, step1_7);

           const __m128i t2 = _mm_unpacklo_epi16(step1_1, step1_6);

           const __m128i t3 = _mm_unpackhi_epi16(step1_1, step1_6);

           const __m128i u0 = _mm_madd_epi16(t0, k__cospi_p30_p02);

           const __m128i u1 = _mm_madd_epi16(t1, k__cospi_p30_p02);

           const __m128i u2 = _mm_madd_epi16(t2, k__cospi_p14_p18);

           const __m128i u3 = _mm_madd_epi16(t3, k__cospi_p14_p18);

           // dct_const_round_shift

           const __m128i v0 = _mm_add_epi32(u0, k__DCT_CONST_ROUNDING);

           const __m128i v1 = _mm_add_epi32(u1, k__DCT_CONST_ROUNDING);

           const __m128i v2 = _mm_add_epi32(u2, k__DCT_CONST_ROUNDING);

           const __m128i v3 = _mm_add_epi32(u3, k__DCT_CONST_ROUNDING);

           const __m128i w0 = _mm_srai_epi32(v0, DCT_CONST_BITS);

           const __m128i w1 = _mm_srai_epi32(v1, DCT_CONST_BITS);

           const __m128i w2 = _mm_srai_epi32(v2, DCT_CONST_BITS);

           const __m128i w3 = _mm_srai_epi32(v3, DCT_CONST_BITS);

           // Combine

           res01 = _mm_packs_epi32(w0, w1);

           res09 = _mm_packs_epi32(w2, w3);

         }

         {

           const __m128i t0 = _mm_unpacklo_epi16(step1_2, step1_5);

           const __m128i t1 = _mm_unpackhi_epi16(step1_2, step1_5);

           const __m128i t2 = _mm_unpacklo_epi16(step1_3, step1_4);

           const __m128i t3 = _mm_unpackhi_epi16(step1_3, step1_4);

           const __m128i u0 = _mm_madd_epi16(t0, k__cospi_p22_p10);

           const __m128i u1 = _mm_madd_epi16(t1, k__cospi_p22_p10);

           const __m128i u2 = _mm_madd_epi16(t2, k__cospi_p06_p26);

           const __m128i u3 = _mm_madd_epi16(t3, k__cospi_p06_p26);

           // dct_const_round_shift

           const __m128i v0 = _mm_add_epi32(u0, k__DCT_CONST_ROUNDING);

           const __m128i v1 = _mm_add_epi32(u1, k__DCT_CONST_ROUNDING);

           const __m128i v2 = _mm_add_epi32(u2, k__DCT_CONST_ROUNDING);

           const __m128i v3 = _mm_add_epi32(u3, k__DCT_CONST_ROUNDING);

           const __m128i w0 = _mm_srai_epi32(v0, DCT_CONST_BITS);

           const __m128i w1 = _mm_srai_epi32(v1, DCT_CONST_BITS);

           const __m128i w2 = _mm_srai_epi32(v2, DCT_CONST_BITS);

           const __m128i w3 = _mm_srai_epi32(v3, DCT_CONST_BITS);

           // Combine

           res05 = _mm_packs_epi32(w0, w1);

           res13 = _mm_packs_epi32(w2, w3);

         }

         {

           const __m128i t0 = _mm_unpacklo_epi16(step1_2, step1_5);

           const __m128i t1 = _mm_unpackhi_epi16(step1_2, step1_5);

           const __m128i t2 = _mm_unpacklo_epi16(step1_3, step1_4);

           const __m128i t3 = _mm_unpackhi_epi16(step1_3, step1_4);

           const __m128i u0 = _mm_madd_epi16(t0, k__cospi_m10_p22);

           const __m128i u1 = _mm_madd_epi16(t1, k__cospi_m10_p22);

           const __m128i u2 = _mm_madd_epi16(t2, k__cospi_m26_p06);

           const __m128i u3 = _mm_madd_epi16(t3, k__cospi_m26_p06);

           // dct_const_round_shift

           const __m128i v0 = _mm_add_epi32(u0, k__DCT_CONST_ROUNDING);

           const __m128i v1 = _mm_add_epi32(u1, k__DCT_CONST_ROUNDING);

           const __m128i v2 = _mm_add_epi32(u2, k__DCT_CONST_ROUNDING);

           const __m128i v3 = _mm_add_epi32(u3, k__DCT_CONST_ROUNDING);

           const __m128i w0 = _mm_srai_epi32(v0, DCT_CONST_BITS);

           const __m128i w1 = _mm_srai_epi32(v1, DCT_CONST_BITS);

           const __m128i w2 = _mm_srai_epi32(v2, DCT_CONST_BITS);

           const __m128i w3 = _mm_srai_epi32(v3, DCT_CONST_BITS);

           // Combine

           res11 = _mm_packs_epi32(w0, w1);

           res03 = _mm_packs_epi32(w2, w3);

         }

         {

           const __m128i t0 = _mm_unpacklo_epi16(step1_0, step1_7);

           const __m128i t1 = _mm_unpackhi_epi16(step1_0, step1_7);

           const __m128i t2 = _mm_unpacklo_epi16(step1_1, step1_6);

           const __m128i t3 = _mm_unpackhi_epi16(step1_1, step1_6);

           const __m128i u0 = _mm_madd_epi16(t0, k__cospi_m02_p30);

           const __m128i u1 = _mm_madd_epi16(t1, k__cospi_m02_p30);

           const __m128i u2 = _mm_madd_epi16(t2, k__cospi_m18_p14);

           const __m128i u3 = _mm_madd_epi16(t3, k__cospi_m18_p14);

           // dct_const_round_shift

           const __m128i v0 = _mm_add_epi32(u0, k__DCT_CONST_ROUNDING);

           const __m128i v1 = _mm_add_epi32(u1, k__DCT_CONST_ROUNDING);

           const __m128i v2 = _mm_add_epi32(u2, k__DCT_CONST_ROUNDING);

           const __m128i v3 = _mm_add_epi32(u3, k__DCT_CONST_ROUNDING);

           const __m128i w0 = _mm_srai_epi32(v0, DCT_CONST_BITS);

           const __m128i w1 = _mm_srai_epi32(v1, DCT_CONST_BITS);

           const __m128i w2 = _mm_srai_epi32(v2, DCT_CONST_BITS);

           const __m128i w3 = _mm_srai_epi32(v3, DCT_CONST_BITS);

           // Combine

           res15 = _mm_packs_epi32(w0, w1);

           res07 = _mm_packs_epi32(w2, w3);

         }

       }

       // Transpose the results, do it as two 8x8 transposes.

       {

         // 00 01 02 03 04 05 06 07

         // 10 11 12 13 14 15 16 17

         // 20 21 22 23 24 25 26 27

         // 30 31 32 33 34 35 36 37

         // 40 41 42 43 44 45 46 47

         // 50 51 52 53 54 55 56 57

         // 60 61 62 63 64 65 66 67

         // 70 71 72 73 74 75 76 77

         const __m128i tr0_0 = _mm_unpacklo_epi16(res00, res01);

         const __m128i tr0_1 = _mm_unpacklo_epi16(res02, res03);

         const __m128i tr0_2 = _mm_unpackhi_epi16(res00, res01);

         const __m128i tr0_3 = _mm_unpackhi_epi16(res02, res03);

         const __m128i tr0_4 = _mm_unpacklo_epi16(res04, res05);

         const __m128i tr0_5 = _mm_unpacklo_epi16(res06, res07);

         const __m128i tr0_6 = _mm_unpackhi_epi16(res04, res05);

         const __m128i tr0_7 = _mm_unpackhi_epi16(res06, res07);

         // 00 10 01 11 02 12 03 13

         // 20 30 21 31 22 32 23 33

         // 04 14 05 15 06 16 07 17

         // 24 34 25 35 26 36 27 37

         // 40 50 41 51 42 52 43 53

         // 60 70 61 71 62 72 63 73

         // 54 54 55 55 56 56 57 57

         // 64 74 65 75 66 76 67 77

         const __m128i tr1_0 = _mm_unpacklo_epi32(tr0_0, tr0_1);

         const __m128i tr1_1 = _mm_unpacklo_epi32(tr0_2, tr0_3);

         const __m128i tr1_2 = _mm_unpackhi_epi32(tr0_0, tr0_1);

         const __m128i tr1_3 = _mm_unpackhi_epi32(tr0_2, tr0_3);

         const __m128i tr1_4 = _mm_unpacklo_epi32(tr0_4, tr0_5);

         const __m128i tr1_5 = _mm_unpacklo_epi32(tr0_6, tr0_7);

         const __m128i tr1_6 = _mm_unpackhi_epi32(tr0_4, tr0_5);

         const __m128i tr1_7 = _mm_unpackhi_epi32(tr0_6, tr0_7);

         // 00 10 20 30 01 11 21 31

         // 40 50 60 70 41 51 61 71

         // 02 12 22 32 03 13 23 33

         // 42 52 62 72 43 53 63 73

         // 04 14 24 34 05 15 21 36

         // 44 54 64 74 45 55 61 76

         // 06 16 26 36 07 17 27 37

         // 46 56 66 76 47 57 67 77

         const __m128i tr2_0 = _mm_unpacklo_epi64(tr1_0, tr1_4);

         const __m128i tr2_1 = _mm_unpackhi_epi64(tr1_0, tr1_4);

         const __m128i tr2_2 = _mm_unpacklo_epi64(tr1_2, tr1_6);

         const __m128i tr2_3 = _mm_unpackhi_epi64(tr1_2, tr1_6);

         const __m128i tr2_4 = _mm_unpacklo_epi64(tr1_1, tr1_5);

         const __m128i tr2_5 = _mm_unpackhi_epi64(tr1_1, tr1_5);

         const __m128i tr2_6 = _mm_unpacklo_epi64(tr1_3, tr1_7);

         const __m128i tr2_7 = _mm_unpackhi_epi64(tr1_3, tr1_7);

         // 00 10 20 30 40 50 60 70

         // 01 11 21 31 41 51 61 71

         // 02 12 22 32 42 52 62 72

         // 03 13 23 33 43 53 63 73

         // 04 14 24 34 44 54 64 74

         // 05 15 25 35 45 55 65 75

         // 06 16 26 36 46 56 66 76

         // 07 17 27 37 47 57 67 77

         _mm_storeu_si128((__m128i *)(out + 0 * 16), tr2_0);

         _mm_storeu_si128((__m128i *)(out + 1 * 16), tr2_1);

         _mm_storeu_si128((__m128i *)(out + 2 * 16), tr2_2);

         _mm_storeu_si128((__m128i *)(out + 3 * 16), tr2_3);

         _mm_storeu_si128((__m128i *)(out + 4 * 16), tr2_4);

         _mm_storeu_si128((__m128i *)(out + 5 * 16), tr2_5);

         _mm_storeu_si128((__m128i *)(out + 6 * 16), tr2_6);

         _mm_storeu_si128((__m128i *)(out + 7 * 16), tr2_7);

       }

       {

         // 00 01 02 03 04 05 06 07

         // 10 11 12 13 14 15 16 17

         // 20 21 22 23 24 25 26 27

         // 30 31 32 33 34 35 36 37

         // 40 41 42 43 44 45 46 47

         // 50 51 52 53 54 55 56 57

         // 60 61 62 63 64 65 66 67

         // 70 71 72 73 74 75 76 77

         const __m128i tr0_0 = _mm_unpacklo_epi16(res08, res09);

         const __m128i tr0_1 = _mm_unpacklo_epi16(res10, res11);

         const __m128i tr0_2 = _mm_unpackhi_epi16(res08, res09);

         const __m128i tr0_3 = _mm_unpackhi_epi16(res10, res11);

         const __m128i tr0_4 = _mm_unpacklo_epi16(res12, res13);

         const __m128i tr0_5 = _mm_unpacklo_epi16(res14, res15);

         const __m128i tr0_6 = _mm_unpackhi_epi16(res12, res13);

         const __m128i tr0_7 = _mm_unpackhi_epi16(res14, res15);

         // 00 10 01 11 02 12 03 13

         // 20 30 21 31 22 32 23 33

         // 04 14 05 15 06 16 07 17

         // 24 34 25 35 26 36 27 37

         // 40 50 41 51 42 52 43 53

         // 60 70 61 71 62 72 63 73

         // 54 54 55 55 56 56 57 57

         // 64 74 65 75 66 76 67 77

         const __m128i tr1_0 = _mm_unpacklo_epi32(tr0_0, tr0_1);

         const __m128i tr1_1 = _mm_unpacklo_epi32(tr0_2, tr0_3);

         const __m128i tr1_2 = _mm_unpackhi_epi32(tr0_0, tr0_1);

         const __m128i tr1_3 = _mm_unpackhi_epi32(tr0_2, tr0_3);

         const __m128i tr1_4 = _mm_unpacklo_epi32(tr0_4, tr0_5);

         const __m128i tr1_5 = _mm_unpacklo_epi32(tr0_6, tr0_7);

         const __m128i tr1_6 = _mm_unpackhi_epi32(tr0_4, tr0_5);

         const __m128i tr1_7 = _mm_unpackhi_epi32(tr0_6, tr0_7);

         // 00 10 20 30 01 11 21 31

         // 40 50 60 70 41 51 61 71

         // 02 12 22 32 03 13 23 33

         // 42 52 62 72 43 53 63 73

         // 04 14 24 34 05 15 21 36

         // 44 54 64 74 45 55 61 76

         // 06 16 26 36 07 17 27 37

         // 46 56 66 76 47 57 67 77

         const __m128i tr2_0 = _mm_unpacklo_epi64(tr1_0, tr1_4);

         const __m128i tr2_1 = _mm_unpackhi_epi64(tr1_0, tr1_4);

         const __m128i tr2_2 = _mm_unpacklo_epi64(tr1_2, tr1_6);

         const __m128i tr2_3 = _mm_unpackhi_epi64(tr1_2, tr1_6);

         const __m128i tr2_4 = _mm_unpacklo_epi64(tr1_1, tr1_5);

         const __m128i tr2_5 = _mm_unpackhi_epi64(tr1_1, tr1_5);

         const __m128i tr2_6 = _mm_unpacklo_epi64(tr1_3, tr1_7);

         const __m128i tr2_7 = _mm_unpackhi_epi64(tr1_3, tr1_7);

         // 00 10 20 30 40 50 60 70

         // 01 11 21 31 41 51 61 71

         // 02 12 22 32 42 52 62 72

         // 03 13 23 33 43 53 63 73

         // 04 14 24 34 44 54 64 74

         // 05 15 25 35 45 55 65 75

         // 06 16 26 36 46 56 66 76

         // 07 17 27 37 47 57 67 77

         // Store results

         _mm_store_si128((__m128i *)(out + 8 + 0 * 16), tr2_0);

         _mm_store_si128((__m128i *)(out + 8 + 1 * 16), tr2_1);

         _mm_store_si128((__m128i *)(out + 8 + 2 * 16), tr2_2);

         _mm_store_si128((__m128i *)(out + 8 + 3 * 16), tr2_3);

         _mm_store_si128((__m128i *)(out + 8 + 4 * 16), tr2_4);

         _mm_store_si128((__m128i *)(out + 8 + 5 * 16), tr2_5);

         _mm_store_si128((__m128i *)(out + 8 + 6 * 16), tr2_6);

         _mm_store_si128((__m128i *)(out + 8 + 7 * 16), tr2_7);

       }

       out += 8*16;

     }

     // Setup in/out for next pass.

     in = intermediate;

     out = output;

   }

 }

 static INLINE void load_buffer_16x16(const int16_t* input, __m128i *in0,

                                      __m128i *in1, int stride) {

   // load first 8 columns

   load_buffer_8x8(input, in0, stride);

   load_buffer_8x8(input + 8 * stride, in0 + 8, stride);

   input += 8;

   // load second 8 columns

   load_buffer_8x8(input, in1, stride);

   load_buffer_8x8(input + 8 * stride, in1 + 8, stride);

 }

 static INLINE void write_buffer_16x16(int16_t *output, __m128i *in0,

                                       __m128i *in1, int stride) {

   // write first 8 columns

   write_buffer_8x8(output, in0, stride);

   write_buffer_8x8(output + 8 * stride, in0 + 8, stride);

   // write second 8 columns

   output += 8;

   write_buffer_8x8(output, in1, stride);

   write_buffer_8x8(output + 8 * stride, in1 + 8, stride);

 }

 static INLINE void array_transpose_16x16(__m128i *res0, __m128i *res1) {

   __m128i tbuf[8];

   array_transpose_8x8(res0, res0);

   array_transpose_8x8(res1, tbuf);

   array_transpose_8x8(res0 + 8, res1);

   array_transpose_8x8(res1 + 8, res1 + 8);

   res0[8] = tbuf[0];

   res0[9] = tbuf[1];

   res0[10] = tbuf[2];

   res0[11] = tbuf[3];

   res0[12] = tbuf[4];

   res0[13] = tbuf[5];

   res0[14] = tbuf[6];

   res0[15] = tbuf[7];

 }

 static INLINE void right_shift_16x16(__m128i *res0, __m128i *res1) {

   // perform rounding operations

   right_shift_8x8(res0, 2);

   right_shift_8x8(res0 + 8, 2);

   right_shift_8x8(res1, 2);

   right_shift_8x8(res1 + 8, 2);

 }

 void fdct16_1d_8col(__m128i *in) {

   // perform 16x16 1-D DCT for 8 columns

   __m128i i[8], s[8], p[8], t[8], u[16], v[16];

   const __m128i k__cospi_p16_p16 = _mm_set1_epi16(cospi_16_64);

   const __m128i k__cospi_p16_m16 = pair_set_epi16(cospi_16_64, -cospi_16_64);

   const __m128i k__cospi_m16_p16 = pair_set_epi16(-cospi_16_64, cospi_16_64);

   const __m128i k__cospi_p24_p08 = pair_set_epi16(cospi_24_64, cospi_8_64);

   const __m128i k__cospi_m24_m08 = pair_set_epi16(-cospi_24_64, -cospi_8_64);

   const __m128i k__cospi_m08_p24 = pair_set_epi16(-cospi_8_64, cospi_24_64);

   const __m128i k__cospi_p28_p04 = pair_set_epi16(cospi_28_64, cospi_4_64);

   const __m128i k__cospi_m04_p28 = pair_set_epi16(-cospi_4_64, cospi_28_64);

   const __m128i k__cospi_p12_p20 = pair_set_epi16(cospi_12_64, cospi_20_64);

   const __m128i k__cospi_m20_p12 = pair_set_epi16(-cospi_20_64, cospi_12_64);

   const __m128i k__cospi_p30_p02 = pair_set_epi16(cospi_30_64, cospi_2_64);

   const __m128i k__cospi_p14_p18 = pair_set_epi16(cospi_14_64, cospi_18_64);

   const __m128i k__cospi_m02_p30 = pair_set_epi16(-cospi_2_64, cospi_30_64);

   const __m128i k__cospi_m18_p14 = pair_set_epi16(-cospi_18_64, cospi_14_64);

   const __m128i k__cospi_p22_p10 = pair_set_epi16(cospi_22_64, cospi_10_64);

   const __m128i k__cospi_p06_p26 = pair_set_epi16(cospi_6_64, cospi_26_64);

   const __m128i k__cospi_m10_p22 = pair_set_epi16(-cospi_10_64, cospi_22_64);

   const __m128i k__cospi_m26_p06 = pair_set_epi16(-cospi_26_64, cospi_6_64);

   const __m128i k__DCT_CONST_ROUNDING = _mm_set1_epi32(DCT_CONST_ROUNDING);

   // stage 1

   i[0] = _mm_add_epi16(in[0], in[15]);

   i[1] = _mm_add_epi16(in[1], in[14]);

   i[2] = _mm_add_epi16(in[2], in[13]);

   i[3] = _mm_add_epi16(in[3], in[12]);

   i[4] = _mm_add_epi16(in[4], in[11]);

   i[5] = _mm_add_epi16(in[5], in[10]);

   i[6] = _mm_add_epi16(in[6], in[9]);

   i[7] = _mm_add_epi16(in[7], in[8]);

   s[0] = _mm_sub_epi16(in[7], in[8]);

   s[1] = _mm_sub_epi16(in[6], in[9]);

   s[2] = _mm_sub_epi16(in[5], in[10]);

   s[3] = _mm_sub_epi16(in[4], in[11]);

   s[4] = _mm_sub_epi16(in[3], in[12]);

   s[5] = _mm_sub_epi16(in[2], in[13]);

   s[6] = _mm_sub_epi16(in[1], in[14]);

   s[7] = _mm_sub_epi16(in[0], in[15]);

   p[0] = _mm_add_epi16(i[0], i[7]);

   p[1] = _mm_add_epi16(i[1], i[6]);

   p[2] = _mm_add_epi16(i[2], i[5]);

   p[3] = _mm_add_epi16(i[3], i[4]);

   p[4] = _mm_sub_epi16(i[3], i[4]);

   p[5] = _mm_sub_epi16(i[2], i[5]);

   p[6] = _mm_sub_epi16(i[1], i[6]);

   p[7] = _mm_sub_epi16(i[0], i[7]);

   u[0] = _mm_add_epi16(p[0], p[3]);

   u[1] = _mm_add_epi16(p[1], p[2]);

   u[2] = _mm_sub_epi16(p[1], p[2]);

   u[3] = _mm_sub_epi16(p[0], p[3]);

   v[0] = _mm_unpacklo_epi16(u[0], u[1]);

   v[1] = _mm_unpackhi_epi16(u[0], u[1]);

   v[2] = _mm_unpacklo_epi16(u[2], u[3]);

   v[3] = _mm_unpackhi_epi16(u[2], u[3]);

   u[0] = _mm_madd_epi16(v[0], k__cospi_p16_p16);

   u[1] = _mm_madd_epi16(v[1], k__cospi_p16_p16);

   u[2] = _mm_madd_epi16(v[0], k__cospi_p16_m16);

   u[3] = _mm_madd_epi16(v[1], k__cospi_p16_m16);

   u[4] = _mm_madd_epi16(v[2], k__cospi_p24_p08);

   u[5] = _mm_madd_epi16(v[3], k__cospi_p24_p08);

   u[6] = _mm_madd_epi16(v[2], k__cospi_m08_p24);

   u[7] = _mm_madd_epi16(v[3], k__cospi_m08_p24);

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

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

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

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

   v[4] = _mm_add_epi32(u[4], k__DCT_CONST_ROUNDING);

   v[5] = _mm_add_epi32(u[5], k__DCT_CONST_ROUNDING);

   v[6] = _mm_add_epi32(u[6], k__DCT_CONST_ROUNDING);

   v[7] = _mm_add_epi32(u[7], k__DCT_CONST_ROUNDING);

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

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

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

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

   u[4] = _mm_srai_epi32(v[4], DCT_CONST_BITS);

   u[5] = _mm_srai_epi32(v[5], DCT_CONST_BITS);

   u[6] = _mm_srai_epi32(v[6], DCT_CONST_BITS);

   u[7] = _mm_srai_epi32(v[7], DCT_CONST_BITS);

   in[0] = _mm_packs_epi32(u[0], u[1]);

   in[4] = _mm_packs_epi32(u[4], u[5]);

   in[8] = _mm_packs_epi32(u[2], u[3]);

   in[12] = _mm_packs_epi32(u[6], u[7]);

   u[0] = _mm_unpacklo_epi16(p[5], p[6]);

   u[1] = _mm_unpackhi_epi16(p[5], p[6]);

   v[0] = _mm_madd_epi16(u[0], k__cospi_m16_p16);

   v[1] = _mm_madd_epi16(u[1], k__cospi_m16_p16);

   v[2] = _mm_madd_epi16(u[0], k__cospi_p16_p16);

   v[3] = _mm_madd_epi16(u[1], k__cospi_p16_p16);

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

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

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

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

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

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

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

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

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

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

   t[0] = _mm_add_epi16(p[4], u[0]);

   t[1] = _mm_sub_epi16(p[4], u[0]);

   t[2] = _mm_sub_epi16(p[7], u[1]);

   t[3] = _mm_add_epi16(p[7], u[1]);

   u[0] = _mm_unpacklo_epi16(t[0], t[3]);

   u[1] = _mm_unpackhi_epi16(t[0], t[3]);

   u[2] = _mm_unpacklo_epi16(t[1], t[2]);

   u[3] = _mm_unpackhi_epi16(t[1], t[2]);

   v[0] = _mm_madd_epi16(u[0], k__cospi_p28_p04);

   v[1] = _mm_madd_epi16(u[1], k__cospi_p28_p04);

   v[2] = _mm_madd_epi16(u[2], k__cospi_p12_p20);

   v[3] = _mm_madd_epi16(u[3], k__cospi_p12_p20);

   v[4] = _mm_madd_epi16(u[2], k__cospi_m20_p12);

   v[5] = _mm_madd_epi16(u[3], k__cospi_m20_p12);

   v[6] = _mm_madd_epi16(u[0], k__cospi_m04_p28);

   v[7] = _mm_madd_epi16(u[1], k__cospi_m04_p28);

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

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

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

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

   u[4] = _mm_add_epi32(v[4], k__DCT_CONST_ROUNDING);

   u[5] = _mm_add_epi32(v[5], k__DCT_CONST_ROUNDING);

   u[6] = _mm_add_epi32(v[6], k__DCT_CONST_ROUNDING);

   u[7] = _mm_add_epi32(v[7], k__DCT_CONST_ROUNDING);

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

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

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

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

   v[4] = _mm_srai_epi32(u[4], DCT_CONST_BITS);

   v[5] = _mm_srai_epi32(u[5], DCT_CONST_BITS);

   v[6] = _mm_srai_epi32(u[6], DCT_CONST_BITS);

   v[7] = _mm_srai_epi32(u[7], DCT_CONST_BITS);

   in[2] = _mm_packs_epi32(v[0], v[1]);

   in[6] = _mm_packs_epi32(v[4], v[5]);

   in[10] = _mm_packs_epi32(v[2], v[3]);

   in[14] = _mm_packs_epi32(v[6], v[7]);

   // stage 2

   u[0] = _mm_unpacklo_epi16(s[2], s[5]);

   u[1] = _mm_unpackhi_epi16(s[2], s[5]);

   u[2] = _mm_unpacklo_epi16(s[3], s[4]);

   u[3] = _mm_unpackhi_epi16(s[3], s[4]);

   v[0] = _mm_madd_epi16(u[0], k__cospi_m16_p16);

   v[1] = _mm_madd_epi16(u[1], k__cospi_m16_p16);

   v[2] = _mm_madd_epi16(u[2], k__cospi_m16_p16);

   v[3] = _mm_madd_epi16(u[3], k__cospi_m16_p16);

   v[4] = _mm_madd_epi16(u[2], k__cospi_p16_p16);

   v[5] = _mm_madd_epi16(u[3], k__cospi_p16_p16);

   v[6] = _mm_madd_epi16(u[0], k__cospi_p16_p16);

   v[7] = _mm_madd_epi16(u[1], k__cospi_p16_p16);

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

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

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

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

   u[4] = _mm_add_epi32(v[4], k__DCT_CONST_ROUNDING);

   u[5] = _mm_add_epi32(v[5], k__DCT_CONST_ROUNDING);

   u[6] = _mm_add_epi32(v[6], k__DCT_CONST_ROUNDING);

   u[7] = _mm_add_epi32(v[7], k__DCT_CONST_ROUNDING);

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

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

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

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

   v[4] = _mm_srai_epi32(u[4], DCT_CONST_BITS);

   v[5] = _mm_srai_epi32(u[5], DCT_CONST_BITS);

   v[6] = _mm_srai_epi32(u[6], DCT_CONST_BITS);

   v[7] = _mm_srai_epi32(u[7], DCT_CONST_BITS);

   t[2] = _mm_packs_epi32(v[0], v[1]);

   t[3] = _mm_packs_epi32(v[2], v[3]);

   t[4] = _mm_packs_epi32(v[4], v[5]);

   t[5] = _mm_packs_epi32(v[6], v[7]);

   // stage 3

   p[0] = _mm_add_epi16(s[0], t[3]);

   p[1] = _mm_add_epi16(s[1], t[2]);

   p[2] = _mm_sub_epi16(s[1], t[2]);

   p[3] = _mm_sub_epi16(s[0], t[3]);

   p[4] = _mm_sub_epi16(s[7], t[4]);

   p[5] = _mm_sub_epi16(s[6], t[5]);

   p[6] = _mm_add_epi16(s[6], t[5]);

   p[7] = _mm_add_epi16(s[7], t[4]);

   // stage 4

   u[0] = _mm_unpacklo_epi16(p[1], p[6]);

   u[1] = _mm_unpackhi_epi16(p[1], p[6]);

   u[2] = _mm_unpacklo_epi16(p[2], p[5]);

   u[3] = _mm_unpackhi_epi16(p[2], p[5]);

   v[0] = _mm_madd_epi16(u[0], k__cospi_m08_p24);

   v[1] = _mm_madd_epi16(u[1], k__cospi_m08_p24);

   v[2] = _mm_madd_epi16(u[2], k__cospi_m24_m08);

   v[3] = _mm_madd_epi16(u[3], k__cospi_m24_m08);

   v[4] = _mm_madd_epi16(u[2], k__cospi_m08_p24);

   v[5] = _mm_madd_epi16(u[3], k__cospi_m08_p24);

   v[6] = _mm_madd_epi16(u[0], k__cospi_p24_p08);

   v[7] = _mm_madd_epi16(u[1], k__cospi_p24_p08);

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

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

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

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

   u[4] = _mm_add_epi32(v[4], k__DCT_CONST_ROUNDING);

   u[5] = _mm_add_epi32(v[5], k__DCT_CONST_ROUNDING);

   u[6] = _mm_add_epi32(v[6], k__DCT_CONST_ROUNDING);

   u[7] = _mm_add_epi32(v[7], k__DCT_CONST_ROUNDING);

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

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

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

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

   v[4] = _mm_srai_epi32(u[4], DCT_CONST_BITS);

   v[5] = _mm_srai_epi32(u[5], DCT_CONST_BITS);

   v[6] = _mm_srai_epi32(u[6], DCT_CONST_BITS);

   v[7] = _mm_srai_epi32(u[7], DCT_CONST_BITS);

   t[1] = _mm_packs_epi32(v[0], v[1]);

   t[2] = _mm_packs_epi32(v[2], v[3]);

   t[5] = _mm_packs_epi32(v[4], v[5]);

   t[6] = _mm_packs_epi32(v[6], v[7]);

   // stage 5

   s[0] = _mm_add_epi16(p[0], t[1]);

   s[1] = _mm_sub_epi16(p[0], t[1]);

   s[2] = _mm_sub_epi16(p[3], t[2]);

   s[3] = _mm_add_epi16(p[3], t[2]);

   s[4] = _mm_add_epi16(p[4], t[5]);

   s[5] = _mm_sub_epi16(p[4], t[5]);

   s[6] = _mm_sub_epi16(p[7], t[6]);

   s[7] = _mm_add_epi16(p[7], t[6]);

   // stage 6

   u[0] = _mm_unpacklo_epi16(s[0], s[7]);

   u[1] = _mm_unpackhi_epi16(s[0], s[7]);

   u[2] = _mm_unpacklo_epi16(s[1], s[6]);

   u[3] = _mm_unpackhi_epi16(s[1], s[6]);

   u[4] = _mm_unpacklo_epi16(s[2], s[5]);

   u[5] = _mm_unpackhi_epi16(s[2], s[5]);

   u[6] = _mm_unpacklo_epi16(s[3], s[4]);

   u[7] = _mm_unpackhi_epi16(s[3], s[4]);

   v[0] = _mm_madd_epi16(u[0], k__cospi_p30_p02);

   v[1] = _mm_madd_epi16(u[1], k__cospi_p30_p02);

   v[2] = _mm_madd_epi16(u[2], k__cospi_p14_p18);

   v[3] = _mm_madd_epi16(u[3], k__cospi_p14_p18);

   v[4] = _mm_madd_epi16(u[4], k__cospi_p22_p10);

   v[5] = _mm_madd_epi16(u[5], k__cospi_p22_p10);

   v[6] = _mm_madd_epi16(u[6], k__cospi_p06_p26);

   v[7] = _mm_madd_epi16(u[7], k__cospi_p06_p26);

   v[8] = _mm_madd_epi16(u[6], k__cospi_m26_p06);

   v[9] = _mm_madd_epi16(u[7], k__cospi_m26_p06);

   v[10] = _mm_madd_epi16(u[4], k__cospi_m10_p22);

   v[11] = _mm_madd_epi16(u[5], k__cospi_m10_p22);

   v[12] = _mm_madd_epi16(u[2], k__cospi_m18_p14);

   v[13] = _mm_madd_epi16(u[3], k__cospi_m18_p14);

   v[14] = _mm_madd_epi16(u[0], k__cospi_m02_p30);

   v[15] = _mm_madd_epi16(u[1], k__cospi_m02_p30);

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

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

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

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

   u[4] = _mm_add_epi32(v[4], k__DCT_CONST_ROUNDING);

   u[5] = _mm_add_epi32(v[5], k__DCT_CONST_ROUNDING);

   u[6] = _mm_add_epi32(v[6], k__DCT_CONST_ROUNDING);

   u[7] = _mm_add_epi32(v[7], k__DCT_CONST_ROUNDING);

   u[8] = _mm_add_epi32(v[8], k__DCT_CONST_ROUNDING);

   u[9] = _mm_add_epi32(v[9], k__DCT_CONST_ROUNDING);

   u[10] = _mm_add_epi32(v[10], k__DCT_CONST_ROUNDING);

   u[11] = _mm_add_epi32(v[11], k__DCT_CONST_ROUNDING);

   u[12] = _mm_add_epi32(v[12], k__DCT_CONST_ROUNDING);

   u[13] = _mm_add_epi32(v[13], k__DCT_CONST_ROUNDING);

   u[14] = _mm_add_epi32(v[14], k__DCT_CONST_ROUNDING);

   u[15] = _mm_add_epi32(v[15], k__DCT_CONST_ROUNDING);

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

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

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

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

   v[4] = _mm_srai_epi32(u[4], DCT_CONST_BITS);

   v[5] = _mm_srai_epi32(u[5], DCT_CONST_BITS);

   v[6] = _mm_srai_epi32(u[6], DCT_CONST_BITS);

   v[7] = _mm_srai_epi32(u[7], DCT_CONST_BITS);

   v[8] = _mm_srai_epi32(u[8], DCT_CONST_BITS);

   v[9] = _mm_srai_epi32(u[9], DCT_CONST_BITS);

   v[10] = _mm_srai_epi32(u[10], DCT_CONST_BITS);

   v[11] = _mm_srai_epi32(u[11], DCT_CONST_BITS);

   v[12] = _mm_srai_epi32(u[12], DCT_CONST_BITS);

   v[13] = _mm_srai_epi32(u[13], DCT_CONST_BITS);

   v[14] = _mm_srai_epi32(u[14], DCT_CONST_BITS);

   v[15] = _mm_srai_epi32(u[15], DCT_CONST_BITS);

   in[1]  = _mm_packs_epi32(v[0], v[1]);

   in[9]  = _mm_packs_epi32(v[2], v[3]);

   in[5]  = _mm_packs_epi32(v[4], v[5]);

   in[13] = _mm_packs_epi32(v[6], v[7]);

   in[3]  = _mm_packs_epi32(v[8], v[9]);

   in[11] = _mm_packs_epi32(v[10], v[11]);

   in[7]  = _mm_packs_epi32(v[12], v[13]);

   in[15] = _mm_packs_epi32(v[14], v[15]);

 }

 void fadst16_1d_8col(__m128i *in) {

   // perform 16x16 1-D ADST for 8 columns

   __m128i s[16], x[16], u[32], v[32];

   const __m128i k__cospi_p01_p31 = pair_set_epi16(cospi_1_64, cospi_31_64);

   const __m128i k__cospi_p31_m01 = pair_set_epi16(cospi_31_64, -cospi_1_64);

   const __m128i k__cospi_p05_p27 = pair_set_epi16(cospi_5_64, cospi_27_64);

   const __m128i k__cospi_p27_m05 = pair_set_epi16(cospi_27_64, -cospi_5_64);

   const __m128i k__cospi_p09_p23 = pair_set_epi16(cospi_9_64, cospi_23_64);

   const __m128i k__cospi_p23_m09 = pair_set_epi16(cospi_23_64, -cospi_9_64);

   const __m128i k__cospi_p13_p19 = pair_set_epi16(cospi_13_64, cospi_19_64);

   const __m128i k__cospi_p19_m13 = pair_set_epi16(cospi_19_64, -cospi_13_64);

   const __m128i k__cospi_p17_p15 = pair_set_epi16(cospi_17_64, cospi_15_64);

   const __m128i k__cospi_p15_m17 = pair_set_epi16(cospi_15_64, -cospi_17_64);

   const __m128i k__cospi_p21_p11 = pair_set_epi16(cospi_21_64, cospi_11_64);

   const __m128i k__cospi_p11_m21 = pair_set_epi16(cospi_11_64, -cospi_21_64);

   const __m128i k__cospi_p25_p07 = pair_set_epi16(cospi_25_64, cospi_7_64);

   const __m128i k__cospi_p07_m25 = pair_set_epi16(cospi_7_64, -cospi_25_64);

   const __m128i k__cospi_p29_p03 = pair_set_epi16(cospi_29_64, cospi_3_64);

   const __m128i k__cospi_p03_m29 = pair_set_epi16(cospi_3_64, -cospi_29_64);

   const __m128i k__cospi_p04_p28 = pair_set_epi16(cospi_4_64, cospi_28_64);

   const __m128i k__cospi_p28_m04 = pair_set_epi16(cospi_28_64, -cospi_4_64);

   const __m128i k__cospi_p20_p12 = pair_set_epi16(cospi_20_64, cospi_12_64);

   const __m128i k__cospi_p12_m20 = pair_set_epi16(cospi_12_64, -cospi_20_64);

   const __m128i k__cospi_m28_p04 = pair_set_epi16(-cospi_28_64, cospi_4_64);

   const __m128i k__cospi_m12_p20 = pair_set_epi16(-cospi_12_64, cospi_20_64);

   const __m128i k__cospi_p08_p24 = pair_set_epi16(cospi_8_64, cospi_24_64);

   const __m128i k__cospi_p24_m08 = pair_set_epi16(cospi_24_64, -cospi_8_64);

   const __m128i k__cospi_m24_p08 = pair_set_epi16(-cospi_24_64, cospi_8_64);

   const __m128i k__cospi_m16_m16 = _mm_set1_epi16(-cospi_16_64);

   const __m128i k__cospi_p16_p16 = _mm_set1_epi16(cospi_16_64);

   const __m128i k__cospi_p16_m16 = pair_set_epi16(cospi_16_64, -cospi_16_64);

   const __m128i k__cospi_m16_p16 = pair_set_epi16(-cospi_16_64, cospi_16_64);

   const __m128i k__DCT_CONST_ROUNDING = _mm_set1_epi32(DCT_CONST_ROUNDING);

   const __m128i kZero = _mm_set1_epi16(0);

   u[0] = _mm_unpacklo_epi16(in[15], in[0]);

   u[1] = _mm_unpackhi_epi16(in[15], in[0]);

   u[2] = _mm_unpacklo_epi16(in[13], in[2]);

   u[3] = _mm_unpackhi_epi16(in[13], in[2]);

   u[4] = _mm_unpacklo_epi16(in[11], in[4]);

   u[5] = _mm_unpackhi_epi16(in[11], in[4]);

   u[6] = _mm_unpacklo_epi16(in[9], in[6]);

   u[7] = _mm_unpackhi_epi16(in[9], in[6]);

   u[8] = _mm_unpacklo_epi16(in[7], in[8]);

   u[9] = _mm_unpackhi_epi16(in[7], in[8]);

   u[10] = _mm_unpacklo_epi16(in[5], in[10]);

   u[11] = _mm_unpackhi_epi16(in[5], in[10]);

   u[12] = _mm_unpacklo_epi16(in[3], in[12]);

   u[13] = _mm_unpackhi_epi16(in[3], in[12]);

   u[14] = _mm_unpacklo_epi16(in[1], in[14]);

   u[15] = _mm_unpackhi_epi16(in[1], in[14]);

   v[0] = _mm_madd_epi16(u[0], k__cospi_p01_p31);

   v[1] = _mm_madd_epi16(u[1], k__cospi_p01_p31);

   v[2] = _mm_madd_epi16(u[0], k__cospi_p31_m01);

   v[3] = _mm_madd_epi16(u[1], k__cospi_p31_m01);

   v[4] = _mm_madd_epi16(u[2], k__cospi_p05_p27);

   v[5] = _mm_madd_epi16(u[3], k__cospi_p05_p27);

   v[6] = _mm_madd_epi16(u[2], k__cospi_p27_m05);

   v[7] = _mm_madd_epi16(u[3], k__cospi_p27_m05);

   v[8] = _mm_madd_epi16(u[4], k__cospi_p09_p23);

   v[9] = _mm_madd_epi16(u[5], k__cospi_p09_p23);

   v[10] = _mm_madd_epi16(u[4], k__cospi_p23_m09);

   v[11] = _mm_madd_epi16(u[5], k__cospi_p23_m09);

   v[12] = _mm_madd_epi16(u[6], k__cospi_p13_p19);

   v[13] = _mm_madd_epi16(u[7], k__cospi_p13_p19);

   v[14] = _mm_madd_epi16(u[6], k__cospi_p19_m13);

   v[15] = _mm_madd_epi16(u[7], k__cospi_p19_m13);

   v[16] = _mm_madd_epi16(u[8], k__cospi_p17_p15);

   v[17] = _mm_madd_epi16(u[9], k__cospi_p17_p15);

   v[18] = _mm_madd_epi16(u[8], k__cospi_p15_m17);

   v[19] = _mm_madd_epi16(u[9], k__cospi_p15_m17);

   v[20] = _mm_madd_epi16(u[10], k__cospi_p21_p11);

   v[21] = _mm_madd_epi16(u[11], k__cospi_p21_p11);

   v[22] = _mm_madd_epi16(u[10], k__cospi_p11_m21);

   v[23] = _mm_madd_epi16(u[11], k__cospi_p11_m21);

   v[24] = _mm_madd_epi16(u[12], k__cospi_p25_p07);

   v[25] = _mm_madd_epi16(u[13], k__cospi_p25_p07);

   v[26] = _mm_madd_epi16(u[12], k__cospi_p07_m25);

   v[27] = _mm_madd_epi16(u[13], k__cospi_p07_m25);

   v[28] = _mm_madd_epi16(u[14], k__cospi_p29_p03);

   v[29] = _mm_madd_epi16(u[15], k__cospi_p29_p03);

   v[30] = _mm_madd_epi16(u[14], k__cospi_p03_m29);

   v[31] = _mm_madd_epi16(u[15], k__cospi_p03_m29);

   u[0] = _mm_add_epi32(v[0], v[16]);

   u[1] = _mm_add_epi32(v[1], v[17]);

   u[2] = _mm_add_epi32(v[2], v[18]);

   u[3] = _mm_add_epi32(v[3], v[19]);

   u[4] = _mm_add_epi32(v[4], v[20]);

   u[5] = _mm_add_epi32(v[5], v[21]);

   u[6] = _mm_add_epi32(v[6], v[22]);

   u[7] = _mm_add_epi32(v[7], v[23]);

   u[8] = _mm_add_epi32(v[8], v[24]);

   u[9] = _mm_add_epi32(v[9], v[25]);

   u[10] = _mm_add_epi32(v[10], v[26]);

   u[11] = _mm_add_epi32(v[11], v[27]);

   u[12] = _mm_add_epi32(v[12], v[28]);

   u[13] = _mm_add_epi32(v[13], v[29]);

   u[14] = _mm_add_epi32(v[14], v[30]);

   u[15] = _mm_add_epi32(v[15], v[31]);

   u[16] = _mm_sub_epi32(v[0], v[16]);

   u[17] = _mm_sub_epi32(v[1], v[17]);

   u[18] = _mm_sub_epi32(v[2], v[18]);

   u[19] = _mm_sub_epi32(v[3], v[19]);

   u[20] = _mm_sub_epi32(v[4], v[20]);

   u[21] = _mm_sub_epi32(v[5], v[21]);

   u[22] = _mm_sub_epi32(v[6], v[22]);

   u[23] = _mm_sub_epi32(v[7], v[23]);

   u[24] = _mm_sub_epi32(v[8], v[24]);

   u[25] = _mm_sub_epi32(v[9], v[25]);

   u[26] = _mm_sub_epi32(v[10], v[26]);

   u[27] = _mm_sub_epi32(v[11], v[27]);

   u[28] = _mm_sub_epi32(v[12], v[28]);

   u[29] = _mm_sub_epi32(v[13], v[29]);

   u[30] = _mm_sub_epi32(v[14], v[30]);

   u[31] = _mm_sub_epi32(v[15], v[31]);

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

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

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

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

   v[4] = _mm_add_epi32(u[4], k__DCT_CONST_ROUNDING);

   v[5] = _mm_add_epi32(u[5], k__DCT_CONST_ROUNDING);

   v[6] = _mm_add_epi32(u[6], k__DCT_CONST_ROUNDING);

   v[7] = _mm_add_epi32(u[7], k__DCT_CONST_ROUNDING);

   v[8] = _mm_add_epi32(u[8], k__DCT_CONST_ROUNDING);

   v[9] = _mm_add_epi32(u[9], k__DCT_CONST_ROUNDING);

   v[10] = _mm_add_epi32(u[10], k__DCT_CONST_ROUNDING);

   v[11] = _mm_add_epi32(u[11], k__DCT_CONST_ROUNDING);

   v[12] = _mm_add_epi32(u[12], k__DCT_CONST_ROUNDING);

   v[13] = _mm_add_epi32(u[13], k__DCT_CONST_ROUNDING);

   v[14] = _mm_add_epi32(u[14], k__DCT_CONST_ROUNDING);

   v[15] = _mm_add_epi32(u[15], k__DCT_CONST_ROUNDING);

   v[16] = _mm_add_epi32(u[16], k__DCT_CONST_ROUNDING);

   v[17] = _mm_add_epi32(u[17], k__DCT_CONST_ROUNDING);

   v[18] = _mm_add_epi32(u[18], k__DCT_CONST_ROUNDING);

   v[19] = _mm_add_epi32(u[19], k__DCT_CONST_ROUNDING);

   v[20] = _mm_add_epi32(u[20], k__DCT_CONST_ROUNDING);

   v[21] = _mm_add_epi32(u[21], k__DCT_CONST_ROUNDING);

   v[22] = _mm_add_epi32(u[22], k__DCT_CONST_ROUNDING);

   v[23] = _mm_add_epi32(u[23], k__DCT_CONST_ROUNDING);

   v[24] = _mm_add_epi32(u[24], k__DCT_CONST_ROUNDING);

   v[25] = _mm_add_epi32(u[25], k__DCT_CONST_ROUNDING);

   v[26] = _mm_add_epi32(u[26], k__DCT_CONST_ROUNDING);

   v[27] = _mm_add_epi32(u[27], k__DCT_CONST_ROUNDING);

   v[28] = _mm_add_epi32(u[28], k__DCT_CONST_ROUNDING);

   v[29] = _mm_add_epi32(u[29], k__DCT_CONST_ROUNDING);

   v[30] = _mm_add_epi32(u[30], k__DCT_CONST_ROUNDING);

   v[31] = _mm_add_epi32(u[31], k__DCT_CONST_ROUNDING);

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

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

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

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

   u[4] = _mm_srai_epi32(v[4], DCT_CONST_BITS);

   u[5] = _mm_srai_epi32(v[5], DCT_CONST_BITS);

   u[6] = _mm_srai_epi32(v[6], DCT_CONST_BITS);

   u[7] = _mm_srai_epi32(v[7], DCT_CONST_BITS);

   u[8] = _mm_srai_epi32(v[8], DCT_CONST_BITS);

   u[9] = _mm_srai_epi32(v[9], DCT_CONST_BITS);

   u[10] = _mm_srai_epi32(v[10], DCT_CONST_BITS);

   u[11] = _mm_srai_epi32(v[11], DCT_CONST_BITS);

   u[12] = _mm_srai_epi32(v[12], DCT_CONST_BITS);

   u[13] = _mm_srai_epi32(v[13], DCT_CONST_BITS);

   u[14] = _mm_srai_epi32(v[14], DCT_CONST_BITS);

   u[15] = _mm_srai_epi32(v[15], DCT_CONST_BITS);

   u[16] = _mm_srai_epi32(v[16], DCT_CONST_BITS);

   u[17] = _mm_srai_epi32(v[17], DCT_CONST_BITS);

   u[18] = _mm_srai_epi32(v[18], DCT_CONST_BITS);

   u[19] = _mm_srai_epi32(v[19], DCT_CONST_BITS);

   u[20] = _mm_srai_epi32(v[20], DCT_CONST_BITS);

   u[21] = _mm_srai_epi32(v[21], DCT_CONST_BITS);

   u[22] = _mm_srai_epi32(v[22], DCT_CONST_BITS);

   u[23] = _mm_srai_epi32(v[23], DCT_CONST_BITS);

   u[24] = _mm_srai_epi32(v[24], DCT_CONST_BITS);

   u[25] = _mm_srai_epi32(v[25], DCT_CONST_BITS);

   u[26] = _mm_srai_epi32(v[26], DCT_CONST_BITS);

   u[27] = _mm_srai_epi32(v[27], DCT_CONST_BITS);

   u[28] = _mm_srai_epi32(v[28], DCT_CONST_BITS);

   u[29] = _mm_srai_epi32(v[29], DCT_CONST_BITS);

   u[30] = _mm_srai_epi32(v[30], DCT_CONST_BITS);

   u[31] = _mm_srai_epi32(v[31], DCT_CONST_BITS);

   s[0] = _mm_packs_epi32(u[0], u[1]);

   s[1] = _mm_packs_epi32(u[2], u[3]);

   s[2] = _mm_packs_epi32(u[4], u[5]);

   s[3] = _mm_packs_epi32(u[6], u[7]);

   s[4] = _mm_packs_epi32(u[8], u[9]);

   s[5] = _mm_packs_epi32(u[10], u[11]);

   s[6] = _mm_packs_epi32(u[12], u[13]);

   s[7] = _mm_packs_epi32(u[14], u[15]);

   s[8] = _mm_packs_epi32(u[16], u[17]);

   s[9] = _mm_packs_epi32(u[18], u[19]);

   s[10] = _mm_packs_epi32(u[20], u[21]);

   s[11] = _mm_packs_epi32(u[22], u[23]);

   s[12] = _mm_packs_epi32(u[24], u[25]);

   s[13] = _mm_packs_epi32(u[26], u[27]);

   s[14] = _mm_packs_epi32(u[28], u[29]);

   s[15] = _mm_packs_epi32(u[30], u[31]);

   // stage 2

   u[0] = _mm_unpacklo_epi16(s[8], s[9]);

   u[1] = _mm_unpackhi_epi16(s[8], s[9]);

   u[2] = _mm_unpacklo_epi16(s[10], s[11]);

   u[3] = _mm_unpackhi_epi16(s[10], s[11]);

   u[4] = _mm_unpacklo_epi16(s[12], s[13]);

   u[5] = _mm_unpackhi_epi16(s[12], s[13]);

   u[6] = _mm_unpacklo_epi16(s[14], s[15]);

   u[7] = _mm_unpackhi_epi16(s[14], s[15]);

   v[0] = _mm_madd_epi16(u[0], k__cospi_p04_p28);

   v[1] = _mm_madd_epi16(u[1], k__cospi_p04_p28);

   v[2] = _mm_madd_epi16(u[0], k__cospi_p28_m04);

   v[3] = _mm_madd_epi16(u[1], k__cospi_p28_m04);

   v[4] = _mm_madd_epi16(u[2], k__cospi_p20_p12);

   v[5] = _mm_madd_epi16(u[3], k__cospi_p20_p12);

   v[6] = _mm_madd_epi16(u[2], k__cospi_p12_m20);

   v[7] = _mm_madd_epi16(u[3], k__cospi_p12_m20);

   v[8] = _mm_madd_epi16(u[4], k__cospi_m28_p04);

   v[9] = _mm_madd_epi16(u[5], k__cospi_m28_p04);

   v[10] = _mm_madd_epi16(u[4], k__cospi_p04_p28);

   v[11] = _mm_madd_epi16(u[5], k__cospi_p04_p28);

   v[12] = _mm_madd_epi16(u[6], k__cospi_m12_p20);

   v[13] = _mm_madd_epi16(u[7], k__cospi_m12_p20);

   v[14] = _mm_madd_epi16(u[6], k__cospi_p20_p12);

   v[15] = _mm_madd_epi16(u[7], k__cospi_p20_p12);

   u[0] = _mm_add_epi32(v[0], v[8]);

   u[1] = _mm_add_epi32(v[1], v[9]);

   u[2] = _mm_add_epi32(v[2], v[10]);

   u[3] = _mm_add_epi32(v[3], v[11]);

   u[4] = _mm_add_epi32(v[4], v[12]);

   u[5] = _mm_add_epi32(v[5], v[13]);

   u[6] = _mm_add_epi32(v[6], v[14]);

   u[7] = _mm_add_epi32(v[7], v[15]);

   u[8] = _mm_sub_epi32(v[0], v[8]);

   u[9] = _mm_sub_epi32(v[1], v[9]);

   u[10] = _mm_sub_epi32(v[2], v[10]);

   u[11] = _mm_sub_epi32(v[3], v[11]);

   u[12] = _mm_sub_epi32(v[4], v[12]);

   u[13] = _mm_sub_epi32(v[5], v[13]);

   u[14] = _mm_sub_epi32(v[6], v[14]);

   u[15] = _mm_sub_epi32(v[7], v[15]);

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

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

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

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

   v[4] = _mm_add_epi32(u[4], k__DCT_CONST_ROUNDING);

   v[5] = _mm_add_epi32(u[5], k__DCT_CONST_ROUNDING);

   v[6] = _mm_add_epi32(u[6], k__DCT_CONST_ROUNDING);

   v[7] = _mm_add_epi32(u[7], k__DCT_CONST_ROUNDING);

   v[8] = _mm_add_epi32(u[8], k__DCT_CONST_ROUNDING);

   v[9] = _mm_add_epi32(u[9], k__DCT_CONST_ROUNDING);

   v[10] = _mm_add_epi32(u[10], k__DCT_CONST_ROUNDING);

   v[11] = _mm_add_epi32(u[11], k__DCT_CONST_ROUNDING);

   v[12] = _mm_add_epi32(u[12], k__DCT_CONST_ROUNDING);

   v[13] = _mm_add_epi32(u[13], k__DCT_CONST_ROUNDING);

   v[14] = _mm_add_epi32(u[14], k__DCT_CONST_ROUNDING);

   v[15] = _mm_add_epi32(u[15], k__DCT_CONST_ROUNDING);

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

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

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

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

   u[4] = _mm_srai_epi32(v[4], DCT_CONST_BITS);

   u[5] = _mm_srai_epi32(v[5], DCT_CONST_BITS);

   u[6] = _mm_srai_epi32(v[6], DCT_CONST_BITS);

   u[7] = _mm_srai_epi32(v[7], DCT_CONST_BITS);

   u[8] = _mm_srai_epi32(v[8], DCT_CONST_BITS);

   u[9] = _mm_srai_epi32(v[9], DCT_CONST_BITS);

   u[10] = _mm_srai_epi32(v[10], DCT_CONST_BITS);

   u[11] = _mm_srai_epi32(v[11], DCT_CONST_BITS);

   u[12] = _mm_srai_epi32(v[12], DCT_CONST_BITS);

   u[13] = _mm_srai_epi32(v[13], DCT_CONST_BITS);

   u[14] = _mm_srai_epi32(v[14], DCT_CONST_BITS);

   u[15] = _mm_srai_epi32(v[15], DCT_CONST_BITS);

   x[0] = _mm_add_epi16(s[0], s[4]);

   x[1] = _mm_add_epi16(s[1], s[5]);

   x[2] = _mm_add_epi16(s[2], s[6]);

   x[3] = _mm_add_epi16(s[3], s[7]);

   x[4] = _mm_sub_epi16(s[0], s[4]);

   x[5] = _mm_sub_epi16(s[1], s[5]);

   x[6] = _mm_sub_epi16(s[2], s[6]);

   x[7] = _mm_sub_epi16(s[3], s[7]);

   x[8] = _mm_packs_epi32(u[0], u[1]);

   x[9] = _mm_packs_epi32(u[2], u[3]);

   x[10] = _mm_packs_epi32(u[4], u[5]);

   x[11] = _mm_packs_epi32(u[6], u[7]);

   x[12] = _mm_packs_epi32(u[8], u[9]);

   x[13] = _mm_packs_epi32(u[10], u[11]);

   x[14] = _mm_packs_epi32(u[12], u[13]);

   x[15] = _mm_packs_epi32(u[14], u[15]);

   // stage 3

   u[0] = _mm_unpacklo_epi16(x[4], x[5]);

   u[1] = _mm_unpackhi_epi16(x[4], x[5]);

   u[2] = _mm_unpacklo_epi16(x[6], x[7]);

   u[3] = _mm_unpackhi_epi16(x[6], x[7]);

   u[4] = _mm_unpacklo_epi16(x[12], x[13]);

   u[5] = _mm_unpackhi_epi16(x[12], x[13]);

   u[6] = _mm_unpacklo_epi16(x[14], x[15]);

   u[7] = _mm_unpackhi_epi16(x[14], x[15]);

   v[0] = _mm_madd_epi16(u[0], k__cospi_p08_p24);

   v[1] = _mm_madd_epi16(u[1], k__cospi_p08_p24);

   v[2] = _mm_madd_epi16(u[0], k__cospi_p24_m08);

   v[3] = _mm_madd_epi16(u[1], k__cospi_p24_m08);

   v[4] = _mm_madd_epi16(u[2], k__cospi_m24_p08);

   v[5] = _mm_madd_epi16(u[3], k__cospi_m24_p08);

   v[6] = _mm_madd_epi16(u[2], k__cospi_p08_p24);

   v[7] = _mm_madd_epi16(u[3], k__cospi_p08_p24);

   v[8] = _mm_madd_epi16(u[4], k__cospi_p08_p24);

   v[9] = _mm_madd_epi16(u[5], k__cospi_p08_p24);

   v[10] = _mm_madd_epi16(u[4], k__cospi_p24_m08);

   v[11] = _mm_madd_epi16(u[5], k__cospi_p24_m08);

   v[12] = _mm_madd_epi16(u[6], k__cospi_m24_p08);

   v[13] = _mm_madd_epi16(u[7], k__cospi_m24_p08);

   v[14] = _mm_madd_epi16(u[6], k__cospi_p08_p24);

   v[15] = _mm_madd_epi16(u[7], k__cospi_p08_p24);

   u[0] = _mm_add_epi32(v[0], v[4]);

   u[1] = _mm_add_epi32(v[1], v[5]);

   u[2] = _mm_add_epi32(v[2], v[6]);

   u[3] = _mm_add_epi32(v[3], v[7]);

   u[4] = _mm_sub_epi32(v[0], v[4]);

   u[5] = _mm_sub_epi32(v[1], v[5]);

   u[6] = _mm_sub_epi32(v[2], v[6]);

   u[7] = _mm_sub_epi32(v[3], v[7]);

   u[8] = _mm_add_epi32(v[8], v[12]);

   u[9] = _mm_add_epi32(v[9], v[13]);

   u[10] = _mm_add_epi32(v[10], v[14]);

   u[11] = _mm_add_epi32(v[11], v[15]);

   u[12] = _mm_sub_epi32(v[8], v[12]);

   u[13] = _mm_sub_epi32(v[9], v[13]);

   u[14] = _mm_sub_epi32(v[10], v[14]);

   u[15] = _mm_sub_epi32(v[11], v[15]);

   u[0] = _mm_add_epi32(u[0], k__DCT_CONST_ROUNDING);

   u[1] = _mm_add_epi32(u[1], k__DCT_CONST_ROUNDING);

   u[2] = _mm_add_epi32(u[2], k__DCT_CONST_ROUNDING);

   u[3] = _mm_add_epi32(u[3], k__DCT_CONST_ROUNDING);

   u[4] = _mm_add_epi32(u[4], k__DCT_CONST_ROUNDING);

   u[5] = _mm_add_epi32(u[5], k__DCT_CONST_ROUNDING);

   u[6] = _mm_add_epi32(u[6], k__DCT_CONST_ROUNDING);

   u[7] = _mm_add_epi32(u[7], k__DCT_CONST_ROUNDING);

   u[8] = _mm_add_epi32(u[8], k__DCT_CONST_ROUNDING);

   u[9] = _mm_add_epi32(u[9], k__DCT_CONST_ROUNDING);

   u[10] = _mm_add_epi32(u[10], k__DCT_CONST_ROUNDING);

   u[11] = _mm_add_epi32(u[11], k__DCT_CONST_ROUNDING);

   u[12] = _mm_add_epi32(u[12], k__DCT_CONST_ROUNDING);

   u[13] = _mm_add_epi32(u[13], k__DCT_CONST_ROUNDING);

   u[14] = _mm_add_epi32(u[14], k__DCT_CONST_ROUNDING);

   u[15] = _mm_add_epi32(u[15], k__DCT_CONST_ROUNDING);

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

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

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

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

   v[4] = _mm_srai_epi32(u[4], DCT_CONST_BITS);

   v[5] = _mm_srai_epi32(u[5], DCT_CONST_BITS);

   v[6] = _mm_srai_epi32(u[6], DCT_CONST_BITS);

   v[7] = _mm_srai_epi32(u[7], DCT_CONST_BITS);

   v[8] = _mm_srai_epi32(u[8], DCT_CONST_BITS);

   v[9] = _mm_srai_epi32(u[9], DCT_CONST_BITS);

   v[10] = _mm_srai_epi32(u[10], DCT_CONST_BITS);

   v[11] = _mm_srai_epi32(u[11], DCT_CONST_BITS);

   v[12] = _mm_srai_epi32(u[12], DCT_CONST_BITS);

   v[13] = _mm_srai_epi32(u[13], DCT_CONST_BITS);

   v[14] = _mm_srai_epi32(u[14], DCT_CONST_BITS);

   v[15] = _mm_srai_epi32(u[15], DCT_CONST_BITS);

   s[0] = _mm_add_epi16(x[0], x[2]);

   s[1] = _mm_add_epi16(x[1], x[3]);

   s[2] = _mm_sub_epi16(x[0], x[2]);

   s[3] = _mm_sub_epi16(x[1], x[3]);

   s[4] = _mm_packs_epi32(v[0], v[1]);

   s[5] = _mm_packs_epi32(v[2], v[3]);

   s[6] = _mm_packs_epi32(v[4], v[5]);

   s[7] = _mm_packs_epi32(v[6], v[7]);

   s[8] = _mm_add_epi16(x[8], x[10]);

   s[9] = _mm_add_epi16(x[9], x[11]);

   s[10] = _mm_sub_epi16(x[8], x[10]);

   s[11] = _mm_sub_epi16(x[9], x[11]);

   s[12] = _mm_packs_epi32(v[8], v[9]);

   s[13] = _mm_packs_epi32(v[10], v[11]);

   s[14] = _mm_packs_epi32(v[12], v[13]);

   s[15] = _mm_packs_epi32(v[14], v[15]);

   // stage 4

   u[0] = _mm_unpacklo_epi16(s[2], s[3]);

   u[1] = _mm_unpackhi_epi16(s[2], s[3]);

   u[2] = _mm_unpacklo_epi16(s[6], s[7]);

   u[3] = _mm_unpackhi_epi16(s[6], s[7]);

   u[4] = _mm_unpacklo_epi16(s[10], s[11]);

   u[5] = _mm_unpackhi_epi16(s[10], s[11]);

   u[6] = _mm_unpacklo_epi16(s[14], s[15]);

   u[7] = _mm_unpackhi_epi16(s[14], s[15]);

   v[0] = _mm_madd_epi16(u[0], k__cospi_m16_m16);

   v[1] = _mm_madd_epi16(u[1], k__cospi_m16_m16);

   v[2] = _mm_madd_epi16(u[0], k__cospi_p16_m16);

   v[3] = _mm_madd_epi16(u[1], k__cospi_p16_m16);

   v[4] = _mm_madd_epi16(u[2], k__cospi_p16_p16);

   v[5] = _mm_madd_epi16(u[3], k__cospi_p16_p16);

   v[6] = _mm_madd_epi16(u[2], k__cospi_m16_p16);

   v[7] = _mm_madd_epi16(u[3], k__cospi_m16_p16);

   v[8] = _mm_madd_epi16(u[4], k__cospi_p16_p16);

   v[9] = _mm_madd_epi16(u[5], k__cospi_p16_p16);

   v[10] = _mm_madd_epi16(u[4], k__cospi_m16_p16);

   v[11] = _mm_madd_epi16(u[5], k__cospi_m16_p16);

   v[12] = _mm_madd_epi16(u[6], k__cospi_m16_m16);

   v[13] = _mm_madd_epi16(u[7], k__cospi_m16_m16);

   v[14] = _mm_madd_epi16(u[6], k__cospi_p16_m16);

   v[15] = _mm_madd_epi16(u[7], k__cospi_p16_m16);

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

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

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

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

   u[4] = _mm_add_epi32(v[4], k__DCT_CONST_ROUNDING);

   u[5] = _mm_add_epi32(v[5], k__DCT_CONST_ROUNDING);

   u[6] = _mm_add_epi32(v[6], k__DCT_CONST_ROUNDING);

   u[7] = _mm_add_epi32(v[7], k__DCT_CONST_ROUNDING);

   u[8] = _mm_add_epi32(v[8], k__DCT_CONST_ROUNDING);

   u[9] = _mm_add_epi32(v[9], k__DCT_CONST_ROUNDING);

   u[10] = _mm_add_epi32(v[10], k__DCT_CONST_ROUNDING);

   u[11] = _mm_add_epi32(v[11], k__DCT_CONST_ROUNDING);

   u[12] = _mm_add_epi32(v[12], k__DCT_CONST_ROUNDING);

   u[13] = _mm_add_epi32(v[13], k__DCT_CONST_ROUNDING);

   u[14] = _mm_add_epi32(v[14], k__DCT_CONST_ROUNDING);

   u[15] = _mm_add_epi32(v[15], k__DCT_CONST_ROUNDING);

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

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

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

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

   v[4] = _mm_srai_epi32(u[4], DCT_CONST_BITS);

   v[5] = _mm_srai_epi32(u[5], DCT_CONST_BITS);

   v[6] = _mm_srai_epi32(u[6], DCT_CONST_BITS);

   v[7] = _mm_srai_epi32(u[7], DCT_CONST_BITS);

   v[8] = _mm_srai_epi32(u[8], DCT_CONST_BITS);

   v[9] = _mm_srai_epi32(u[9], DCT_CONST_BITS);

   v[10] = _mm_srai_epi32(u[10], DCT_CONST_BITS);

   v[11] = _mm_srai_epi32(u[11], DCT_CONST_BITS);

   v[12] = _mm_srai_epi32(u[12], DCT_CONST_BITS);

   v[13] = _mm_srai_epi32(u[13], DCT_CONST_BITS);

   v[14] = _mm_srai_epi32(u[14], DCT_CONST_BITS);

   v[15] = _mm_srai_epi32(u[15], DCT_CONST_BITS);

   in[0] = s[0];

   in[1] = _mm_sub_epi16(kZero, s[8]);

   in[2] = s[12];

   in[3] = _mm_sub_epi16(kZero, s[4]);

   in[4] = _mm_packs_epi32(v[4], v[5]);

   in[5] = _mm_packs_epi32(v[12], v[13]);

   in[6] = _mm_packs_epi32(v[8], v[9]);

   in[7] = _mm_packs_epi32(v[0], v[1]);

   in[8] = _mm_packs_epi32(v[2], v[3]);

   in[9] = _mm_packs_epi32(v[10], v[11]);

   in[10] = _mm_packs_epi32(v[14], v[15]);

   in[11] = _mm_packs_epi32(v[6], v[7]);

   in[12] = s[5];

   in[13] = _mm_sub_epi16(kZero, s[13]);

   in[14] = s[9];

   in[15] = _mm_sub_epi16(kZero, s[1]);

 }

 void fdct16_1d_sse2(__m128i *in0, __m128i *in1) {

   fdct16_1d_8col(in0);

   fdct16_1d_8col(in1);

   array_transpose_16x16(in0, in1);

 }

 void fadst16_1d_sse2(__m128i *in0, __m128i *in1) {

   fadst16_1d_8col(in0);

   fadst16_1d_8col(in1);

   array_transpose_16x16(in0, in1);

 }

 void vp9_short_fht16x16_sse2(const int16_t *input, int16_t *output,

                              int stride, int tx_type) {

   __m128i in0[16], in1[16];

   load_buffer_16x16(input, in0, in1, stride);

   switch (tx_type) {

     case 0:  // DCT_DCT

       fdct16_1d_sse2(in0, in1);

       right_shift_16x16(in0, in1);

       fdct16_1d_sse2(in0, in1);

       break;

     case 1:  // ADST_DCT

       fadst16_1d_sse2(in0, in1);

       right_shift_16x16(in0, in1);

       fdct16_1d_sse2(in0, in1);

       break;

     case 2:  // DCT_ADST

       fdct16_1d_sse2(in0, in1);

       right_shift_16x16(in0, in1);

       fadst16_1d_sse2(in0, in1);

       break;

     case 3:  // ADST_ADST

       fadst16_1d_sse2(in0, in1);

       right_shift_16x16(in0, in1);

       fadst16_1d_sse2(in0, in1);

       break;

     default:

       assert(0);

       break;

   }

   write_buffer_16x16(output, in0, in1, 16);

 }

 #define FDCT32x32_2D vp9_fdct32x32_rd_sse2

 #define FDCT32x32_HIGH_PRECISION 0

 #include "vp9/encoder/x86/vp9_dct32x32_sse2.c"

 #undef  FDCT32x32_2D

 #undef  FDCT32x32_HIGH_PRECISION

 #define FDCT32x32_2D vp9_fdct32x32_sse2

 #define FDCT32x32_HIGH_PRECISION 1

 #include "vp9/encoder/x86/vp9_dct32x32_sse2.c" // NOLINT

 #undef  FDCT32x32_2D

 #undef  FDCT32x32_HIGH_PRECISION