1 /*
2  *  Copyright (c) 2012 The WebM project authors. All Rights Reserved.
3  *
4  *  Use of this source code is governed by a BSD-style license
5  *  that can be found in the LICENSE file in the root of the source
6  *  tree. An additional intellectual property rights grant can be found
7  *  in the file PATENTS.  All contributing project authors may
8  *  be found in the AUTHORS file in the root of the source tree.
9  */
10 
11 #include <emmintrin.h>  // SSE2
12 #include "vp9/common/vp9_idct.h"  // for cospi constants
13 #include "vpx_ports/mem.h"
14 
15 #define pair_set_epi32(a, b) \
16   _mm_set_epi32(b, a, b, a)
17 
18 #if FDCT32x32_HIGH_PRECISION
k_madd_epi32(__m128i a,__m128i b)19 static INLINE __m128i k_madd_epi32(__m128i a, __m128i b) {
20   __m128i buf0, buf1;
21   buf0 = _mm_mul_epu32(a, b);
22   a = _mm_srli_epi64(a, 32);
23   b = _mm_srli_epi64(b, 32);
24   buf1 = _mm_mul_epu32(a, b);
25   return _mm_add_epi64(buf0, buf1);
26 }
27 
k_packs_epi64(__m128i a,__m128i b)28 static INLINE __m128i k_packs_epi64(__m128i a, __m128i b) {
29   __m128i buf0 = _mm_shuffle_epi32(a, _MM_SHUFFLE(0, 0, 2, 0));
30   __m128i buf1 = _mm_shuffle_epi32(b, _MM_SHUFFLE(0, 0, 2, 0));
31   return _mm_unpacklo_epi64(buf0, buf1);
32 }
33 #endif
34 
FDCT32x32_2D(const int16_t * input,int16_t * output_org,int stride)35 void FDCT32x32_2D(const int16_t *input,
36                   int16_t *output_org, int stride) {
37   // Calculate pre-multiplied strides
38   const int str1 = stride;
39   const int str2 = 2 * stride;
40   const int str3 = 2 * stride + str1;
41   // We need an intermediate buffer between passes.
42   DECLARE_ALIGNED(16, int16_t, intermediate[32 * 32]);
43   // Constants
44   //    When we use them, in one case, they are all the same. In all others
45   //    it's a pair of them that we need to repeat four times. This is done
46   //    by constructing the 32 bit constant corresponding to that pair.
47   const __m128i k__cospi_p16_p16 = _mm_set1_epi16(+cospi_16_64);
48   const __m128i k__cospi_p16_m16 = pair_set_epi16(+cospi_16_64, -cospi_16_64);
49   const __m128i k__cospi_m08_p24 = pair_set_epi16(-cospi_8_64,   cospi_24_64);
50   const __m128i k__cospi_m24_m08 = pair_set_epi16(-cospi_24_64, -cospi_8_64);
51   const __m128i k__cospi_p24_p08 = pair_set_epi16(+cospi_24_64,  cospi_8_64);
52   const __m128i k__cospi_p12_p20 = pair_set_epi16(+cospi_12_64,  cospi_20_64);
53   const __m128i k__cospi_m20_p12 = pair_set_epi16(-cospi_20_64,  cospi_12_64);
54   const __m128i k__cospi_m04_p28 = pair_set_epi16(-cospi_4_64,   cospi_28_64);
55   const __m128i k__cospi_p28_p04 = pair_set_epi16(+cospi_28_64,  cospi_4_64);
56   const __m128i k__cospi_m28_m04 = pair_set_epi16(-cospi_28_64, -cospi_4_64);
57   const __m128i k__cospi_m12_m20 = pair_set_epi16(-cospi_12_64, -cospi_20_64);
58   const __m128i k__cospi_p30_p02 = pair_set_epi16(+cospi_30_64,  cospi_2_64);
59   const __m128i k__cospi_p14_p18 = pair_set_epi16(+cospi_14_64,  cospi_18_64);
60   const __m128i k__cospi_p22_p10 = pair_set_epi16(+cospi_22_64,  cospi_10_64);
61   const __m128i k__cospi_p06_p26 = pair_set_epi16(+cospi_6_64,   cospi_26_64);
62   const __m128i k__cospi_m26_p06 = pair_set_epi16(-cospi_26_64,  cospi_6_64);
63   const __m128i k__cospi_m10_p22 = pair_set_epi16(-cospi_10_64,  cospi_22_64);
64   const __m128i k__cospi_m18_p14 = pair_set_epi16(-cospi_18_64,  cospi_14_64);
65   const __m128i k__cospi_m02_p30 = pair_set_epi16(-cospi_2_64,   cospi_30_64);
66   const __m128i k__cospi_p31_p01 = pair_set_epi16(+cospi_31_64,  cospi_1_64);
67   const __m128i k__cospi_p15_p17 = pair_set_epi16(+cospi_15_64,  cospi_17_64);
68   const __m128i k__cospi_p23_p09 = pair_set_epi16(+cospi_23_64,  cospi_9_64);
69   const __m128i k__cospi_p07_p25 = pair_set_epi16(+cospi_7_64,   cospi_25_64);
70   const __m128i k__cospi_m25_p07 = pair_set_epi16(-cospi_25_64,  cospi_7_64);
71   const __m128i k__cospi_m09_p23 = pair_set_epi16(-cospi_9_64,   cospi_23_64);
72   const __m128i k__cospi_m17_p15 = pair_set_epi16(-cospi_17_64,  cospi_15_64);
73   const __m128i k__cospi_m01_p31 = pair_set_epi16(-cospi_1_64,   cospi_31_64);
74   const __m128i k__cospi_p27_p05 = pair_set_epi16(+cospi_27_64,  cospi_5_64);
75   const __m128i k__cospi_p11_p21 = pair_set_epi16(+cospi_11_64,  cospi_21_64);
76   const __m128i k__cospi_p19_p13 = pair_set_epi16(+cospi_19_64,  cospi_13_64);
77   const __m128i k__cospi_p03_p29 = pair_set_epi16(+cospi_3_64,   cospi_29_64);
78   const __m128i k__cospi_m29_p03 = pair_set_epi16(-cospi_29_64,  cospi_3_64);
79   const __m128i k__cospi_m13_p19 = pair_set_epi16(-cospi_13_64,  cospi_19_64);
80   const __m128i k__cospi_m21_p11 = pair_set_epi16(-cospi_21_64,  cospi_11_64);
81   const __m128i k__cospi_m05_p27 = pair_set_epi16(-cospi_5_64,   cospi_27_64);
82   const __m128i k__DCT_CONST_ROUNDING = _mm_set1_epi32(DCT_CONST_ROUNDING);
83   const __m128i kZero = _mm_set1_epi16(0);
84   const __m128i kOne  = _mm_set1_epi16(1);
85   // Do the two transform/transpose passes
86   int pass;
87   for (pass = 0; pass < 2; ++pass) {
88     // We process eight columns (transposed rows in second pass) at a time.
89     int column_start;
90     for (column_start = 0; column_start < 32; column_start += 8) {
91       __m128i step1[32];
92       __m128i step2[32];
93       __m128i step3[32];
94       __m128i out[32];
95       // Stage 1
96       // Note: even though all the loads below are aligned, using the aligned
97       //       intrinsic make the code slightly slower.
98       if (0 == pass) {
99         const int16_t *in  = &input[column_start];
100         // step1[i] =  (in[ 0 * stride] + in[(32 -  1) * stride]) << 2;
101         // Note: the next four blocks could be in a loop. That would help the
102         //       instruction cache but is actually slower.
103         {
104           const int16_t *ina =  in +  0 * str1;
105           const int16_t *inb =  in + 31 * str1;
106           __m128i *step1a = &step1[ 0];
107           __m128i *step1b = &step1[31];
108           const __m128i ina0  = _mm_loadu_si128((const __m128i *)(ina));
109           const __m128i ina1  = _mm_loadu_si128((const __m128i *)(ina + str1));
110           const __m128i ina2  = _mm_loadu_si128((const __m128i *)(ina + str2));
111           const __m128i ina3  = _mm_loadu_si128((const __m128i *)(ina + str3));
112           const __m128i inb3  = _mm_loadu_si128((const __m128i *)(inb - str3));
113           const __m128i inb2  = _mm_loadu_si128((const __m128i *)(inb - str2));
114           const __m128i inb1  = _mm_loadu_si128((const __m128i *)(inb - str1));
115           const __m128i inb0  = _mm_loadu_si128((const __m128i *)(inb));
116           step1a[ 0] = _mm_add_epi16(ina0, inb0);
117           step1a[ 1] = _mm_add_epi16(ina1, inb1);
118           step1a[ 2] = _mm_add_epi16(ina2, inb2);
119           step1a[ 3] = _mm_add_epi16(ina3, inb3);
120           step1b[-3] = _mm_sub_epi16(ina3, inb3);
121           step1b[-2] = _mm_sub_epi16(ina2, inb2);
122           step1b[-1] = _mm_sub_epi16(ina1, inb1);
123           step1b[-0] = _mm_sub_epi16(ina0, inb0);
124           step1a[ 0] = _mm_slli_epi16(step1a[ 0], 2);
125           step1a[ 1] = _mm_slli_epi16(step1a[ 1], 2);
126           step1a[ 2] = _mm_slli_epi16(step1a[ 2], 2);
127           step1a[ 3] = _mm_slli_epi16(step1a[ 3], 2);
128           step1b[-3] = _mm_slli_epi16(step1b[-3], 2);
129           step1b[-2] = _mm_slli_epi16(step1b[-2], 2);
130           step1b[-1] = _mm_slli_epi16(step1b[-1], 2);
131           step1b[-0] = _mm_slli_epi16(step1b[-0], 2);
132         }
133         {
134           const int16_t *ina =  in +  4 * str1;
135           const int16_t *inb =  in + 27 * str1;
136           __m128i *step1a = &step1[ 4];
137           __m128i *step1b = &step1[27];
138           const __m128i ina0  = _mm_loadu_si128((const __m128i *)(ina));
139           const __m128i ina1  = _mm_loadu_si128((const __m128i *)(ina + str1));
140           const __m128i ina2  = _mm_loadu_si128((const __m128i *)(ina + str2));
141           const __m128i ina3  = _mm_loadu_si128((const __m128i *)(ina + str3));
142           const __m128i inb3  = _mm_loadu_si128((const __m128i *)(inb - str3));
143           const __m128i inb2  = _mm_loadu_si128((const __m128i *)(inb - str2));
144           const __m128i inb1  = _mm_loadu_si128((const __m128i *)(inb - str1));
145           const __m128i inb0  = _mm_loadu_si128((const __m128i *)(inb));
146           step1a[ 0] = _mm_add_epi16(ina0, inb0);
147           step1a[ 1] = _mm_add_epi16(ina1, inb1);
148           step1a[ 2] = _mm_add_epi16(ina2, inb2);
149           step1a[ 3] = _mm_add_epi16(ina3, inb3);
150           step1b[-3] = _mm_sub_epi16(ina3, inb3);
151           step1b[-2] = _mm_sub_epi16(ina2, inb2);
152           step1b[-1] = _mm_sub_epi16(ina1, inb1);
153           step1b[-0] = _mm_sub_epi16(ina0, inb0);
154           step1a[ 0] = _mm_slli_epi16(step1a[ 0], 2);
155           step1a[ 1] = _mm_slli_epi16(step1a[ 1], 2);
156           step1a[ 2] = _mm_slli_epi16(step1a[ 2], 2);
157           step1a[ 3] = _mm_slli_epi16(step1a[ 3], 2);
158           step1b[-3] = _mm_slli_epi16(step1b[-3], 2);
159           step1b[-2] = _mm_slli_epi16(step1b[-2], 2);
160           step1b[-1] = _mm_slli_epi16(step1b[-1], 2);
161           step1b[-0] = _mm_slli_epi16(step1b[-0], 2);
162         }
163         {
164           const int16_t *ina =  in +  8 * str1;
165           const int16_t *inb =  in + 23 * str1;
166           __m128i *step1a = &step1[ 8];
167           __m128i *step1b = &step1[23];
168           const __m128i ina0  = _mm_loadu_si128((const __m128i *)(ina));
169           const __m128i ina1  = _mm_loadu_si128((const __m128i *)(ina + str1));
170           const __m128i ina2  = _mm_loadu_si128((const __m128i *)(ina + str2));
171           const __m128i ina3  = _mm_loadu_si128((const __m128i *)(ina + str3));
172           const __m128i inb3  = _mm_loadu_si128((const __m128i *)(inb - str3));
173           const __m128i inb2  = _mm_loadu_si128((const __m128i *)(inb - str2));
174           const __m128i inb1  = _mm_loadu_si128((const __m128i *)(inb - str1));
175           const __m128i inb0  = _mm_loadu_si128((const __m128i *)(inb));
176           step1a[ 0] = _mm_add_epi16(ina0, inb0);
177           step1a[ 1] = _mm_add_epi16(ina1, inb1);
178           step1a[ 2] = _mm_add_epi16(ina2, inb2);
179           step1a[ 3] = _mm_add_epi16(ina3, inb3);
180           step1b[-3] = _mm_sub_epi16(ina3, inb3);
181           step1b[-2] = _mm_sub_epi16(ina2, inb2);
182           step1b[-1] = _mm_sub_epi16(ina1, inb1);
183           step1b[-0] = _mm_sub_epi16(ina0, inb0);
184           step1a[ 0] = _mm_slli_epi16(step1a[ 0], 2);
185           step1a[ 1] = _mm_slli_epi16(step1a[ 1], 2);
186           step1a[ 2] = _mm_slli_epi16(step1a[ 2], 2);
187           step1a[ 3] = _mm_slli_epi16(step1a[ 3], 2);
188           step1b[-3] = _mm_slli_epi16(step1b[-3], 2);
189           step1b[-2] = _mm_slli_epi16(step1b[-2], 2);
190           step1b[-1] = _mm_slli_epi16(step1b[-1], 2);
191           step1b[-0] = _mm_slli_epi16(step1b[-0], 2);
192         }
193         {
194           const int16_t *ina =  in + 12 * str1;
195           const int16_t *inb =  in + 19 * str1;
196           __m128i *step1a = &step1[12];
197           __m128i *step1b = &step1[19];
198           const __m128i ina0  = _mm_loadu_si128((const __m128i *)(ina));
199           const __m128i ina1  = _mm_loadu_si128((const __m128i *)(ina + str1));
200           const __m128i ina2  = _mm_loadu_si128((const __m128i *)(ina + str2));
201           const __m128i ina3  = _mm_loadu_si128((const __m128i *)(ina + str3));
202           const __m128i inb3  = _mm_loadu_si128((const __m128i *)(inb - str3));
203           const __m128i inb2  = _mm_loadu_si128((const __m128i *)(inb - str2));
204           const __m128i inb1  = _mm_loadu_si128((const __m128i *)(inb - str1));
205           const __m128i inb0  = _mm_loadu_si128((const __m128i *)(inb));
206           step1a[ 0] = _mm_add_epi16(ina0, inb0);
207           step1a[ 1] = _mm_add_epi16(ina1, inb1);
208           step1a[ 2] = _mm_add_epi16(ina2, inb2);
209           step1a[ 3] = _mm_add_epi16(ina3, inb3);
210           step1b[-3] = _mm_sub_epi16(ina3, inb3);
211           step1b[-2] = _mm_sub_epi16(ina2, inb2);
212           step1b[-1] = _mm_sub_epi16(ina1, inb1);
213           step1b[-0] = _mm_sub_epi16(ina0, inb0);
214           step1a[ 0] = _mm_slli_epi16(step1a[ 0], 2);
215           step1a[ 1] = _mm_slli_epi16(step1a[ 1], 2);
216           step1a[ 2] = _mm_slli_epi16(step1a[ 2], 2);
217           step1a[ 3] = _mm_slli_epi16(step1a[ 3], 2);
218           step1b[-3] = _mm_slli_epi16(step1b[-3], 2);
219           step1b[-2] = _mm_slli_epi16(step1b[-2], 2);
220           step1b[-1] = _mm_slli_epi16(step1b[-1], 2);
221           step1b[-0] = _mm_slli_epi16(step1b[-0], 2);
222         }
223       } else {
224         int16_t *in = &intermediate[column_start];
225         // step1[i] =  in[ 0 * 32] + in[(32 -  1) * 32];
226         // Note: using the same approach as above to have common offset is
227         //       counter-productive as all offsets can be calculated at compile
228         //       time.
229         // Note: the next four blocks could be in a loop. That would help the
230         //       instruction cache but is actually slower.
231         {
232           __m128i in00  = _mm_loadu_si128((const __m128i *)(in +  0 * 32));
233           __m128i in01  = _mm_loadu_si128((const __m128i *)(in +  1 * 32));
234           __m128i in02  = _mm_loadu_si128((const __m128i *)(in +  2 * 32));
235           __m128i in03  = _mm_loadu_si128((const __m128i *)(in +  3 * 32));
236           __m128i in28  = _mm_loadu_si128((const __m128i *)(in + 28 * 32));
237           __m128i in29  = _mm_loadu_si128((const __m128i *)(in + 29 * 32));
238           __m128i in30  = _mm_loadu_si128((const __m128i *)(in + 30 * 32));
239           __m128i in31  = _mm_loadu_si128((const __m128i *)(in + 31 * 32));
240           step1[ 0] = _mm_add_epi16(in00, in31);
241           step1[ 1] = _mm_add_epi16(in01, in30);
242           step1[ 2] = _mm_add_epi16(in02, in29);
243           step1[ 3] = _mm_add_epi16(in03, in28);
244           step1[28] = _mm_sub_epi16(in03, in28);
245           step1[29] = _mm_sub_epi16(in02, in29);
246           step1[30] = _mm_sub_epi16(in01, in30);
247           step1[31] = _mm_sub_epi16(in00, in31);
248         }
249         {
250           __m128i in04  = _mm_loadu_si128((const __m128i *)(in +  4 * 32));
251           __m128i in05  = _mm_loadu_si128((const __m128i *)(in +  5 * 32));
252           __m128i in06  = _mm_loadu_si128((const __m128i *)(in +  6 * 32));
253           __m128i in07  = _mm_loadu_si128((const __m128i *)(in +  7 * 32));
254           __m128i in24  = _mm_loadu_si128((const __m128i *)(in + 24 * 32));
255           __m128i in25  = _mm_loadu_si128((const __m128i *)(in + 25 * 32));
256           __m128i in26  = _mm_loadu_si128((const __m128i *)(in + 26 * 32));
257           __m128i in27  = _mm_loadu_si128((const __m128i *)(in + 27 * 32));
258           step1[ 4] = _mm_add_epi16(in04, in27);
259           step1[ 5] = _mm_add_epi16(in05, in26);
260           step1[ 6] = _mm_add_epi16(in06, in25);
261           step1[ 7] = _mm_add_epi16(in07, in24);
262           step1[24] = _mm_sub_epi16(in07, in24);
263           step1[25] = _mm_sub_epi16(in06, in25);
264           step1[26] = _mm_sub_epi16(in05, in26);
265           step1[27] = _mm_sub_epi16(in04, in27);
266         }
267         {
268           __m128i in08  = _mm_loadu_si128((const __m128i *)(in +  8 * 32));
269           __m128i in09  = _mm_loadu_si128((const __m128i *)(in +  9 * 32));
270           __m128i in10  = _mm_loadu_si128((const __m128i *)(in + 10 * 32));
271           __m128i in11  = _mm_loadu_si128((const __m128i *)(in + 11 * 32));
272           __m128i in20  = _mm_loadu_si128((const __m128i *)(in + 20 * 32));
273           __m128i in21  = _mm_loadu_si128((const __m128i *)(in + 21 * 32));
274           __m128i in22  = _mm_loadu_si128((const __m128i *)(in + 22 * 32));
275           __m128i in23  = _mm_loadu_si128((const __m128i *)(in + 23 * 32));
276           step1[ 8] = _mm_add_epi16(in08, in23);
277           step1[ 9] = _mm_add_epi16(in09, in22);
278           step1[10] = _mm_add_epi16(in10, in21);
279           step1[11] = _mm_add_epi16(in11, in20);
280           step1[20] = _mm_sub_epi16(in11, in20);
281           step1[21] = _mm_sub_epi16(in10, in21);
282           step1[22] = _mm_sub_epi16(in09, in22);
283           step1[23] = _mm_sub_epi16(in08, in23);
284         }
285         {
286           __m128i in12  = _mm_loadu_si128((const __m128i *)(in + 12 * 32));
287           __m128i in13  = _mm_loadu_si128((const __m128i *)(in + 13 * 32));
288           __m128i in14  = _mm_loadu_si128((const __m128i *)(in + 14 * 32));
289           __m128i in15  = _mm_loadu_si128((const __m128i *)(in + 15 * 32));
290           __m128i in16  = _mm_loadu_si128((const __m128i *)(in + 16 * 32));
291           __m128i in17  = _mm_loadu_si128((const __m128i *)(in + 17 * 32));
292           __m128i in18  = _mm_loadu_si128((const __m128i *)(in + 18 * 32));
293           __m128i in19  = _mm_loadu_si128((const __m128i *)(in + 19 * 32));
294           step1[12] = _mm_add_epi16(in12, in19);
295           step1[13] = _mm_add_epi16(in13, in18);
296           step1[14] = _mm_add_epi16(in14, in17);
297           step1[15] = _mm_add_epi16(in15, in16);
298           step1[16] = _mm_sub_epi16(in15, in16);
299           step1[17] = _mm_sub_epi16(in14, in17);
300           step1[18] = _mm_sub_epi16(in13, in18);
301           step1[19] = _mm_sub_epi16(in12, in19);
302         }
303       }
304       // Stage 2
305       {
306         step2[ 0] = _mm_add_epi16(step1[0], step1[15]);
307         step2[ 1] = _mm_add_epi16(step1[1], step1[14]);
308         step2[ 2] = _mm_add_epi16(step1[2], step1[13]);
309         step2[ 3] = _mm_add_epi16(step1[3], step1[12]);
310         step2[ 4] = _mm_add_epi16(step1[4], step1[11]);
311         step2[ 5] = _mm_add_epi16(step1[5], step1[10]);
312         step2[ 6] = _mm_add_epi16(step1[6], step1[ 9]);
313         step2[ 7] = _mm_add_epi16(step1[7], step1[ 8]);
314         step2[ 8] = _mm_sub_epi16(step1[7], step1[ 8]);
315         step2[ 9] = _mm_sub_epi16(step1[6], step1[ 9]);
316         step2[10] = _mm_sub_epi16(step1[5], step1[10]);
317         step2[11] = _mm_sub_epi16(step1[4], step1[11]);
318         step2[12] = _mm_sub_epi16(step1[3], step1[12]);
319         step2[13] = _mm_sub_epi16(step1[2], step1[13]);
320         step2[14] = _mm_sub_epi16(step1[1], step1[14]);
321         step2[15] = _mm_sub_epi16(step1[0], step1[15]);
322       }
323       {
324         const __m128i s2_20_0 = _mm_unpacklo_epi16(step1[27], step1[20]);
325         const __m128i s2_20_1 = _mm_unpackhi_epi16(step1[27], step1[20]);
326         const __m128i s2_21_0 = _mm_unpacklo_epi16(step1[26], step1[21]);
327         const __m128i s2_21_1 = _mm_unpackhi_epi16(step1[26], step1[21]);
328         const __m128i s2_22_0 = _mm_unpacklo_epi16(step1[25], step1[22]);
329         const __m128i s2_22_1 = _mm_unpackhi_epi16(step1[25], step1[22]);
330         const __m128i s2_23_0 = _mm_unpacklo_epi16(step1[24], step1[23]);
331         const __m128i s2_23_1 = _mm_unpackhi_epi16(step1[24], step1[23]);
332         const __m128i s2_20_2 = _mm_madd_epi16(s2_20_0, k__cospi_p16_m16);
333         const __m128i s2_20_3 = _mm_madd_epi16(s2_20_1, k__cospi_p16_m16);
334         const __m128i s2_21_2 = _mm_madd_epi16(s2_21_0, k__cospi_p16_m16);
335         const __m128i s2_21_3 = _mm_madd_epi16(s2_21_1, k__cospi_p16_m16);
336         const __m128i s2_22_2 = _mm_madd_epi16(s2_22_0, k__cospi_p16_m16);
337         const __m128i s2_22_3 = _mm_madd_epi16(s2_22_1, k__cospi_p16_m16);
338         const __m128i s2_23_2 = _mm_madd_epi16(s2_23_0, k__cospi_p16_m16);
339         const __m128i s2_23_3 = _mm_madd_epi16(s2_23_1, k__cospi_p16_m16);
340         const __m128i s2_24_2 = _mm_madd_epi16(s2_23_0, k__cospi_p16_p16);
341         const __m128i s2_24_3 = _mm_madd_epi16(s2_23_1, k__cospi_p16_p16);
342         const __m128i s2_25_2 = _mm_madd_epi16(s2_22_0, k__cospi_p16_p16);
343         const __m128i s2_25_3 = _mm_madd_epi16(s2_22_1, k__cospi_p16_p16);
344         const __m128i s2_26_2 = _mm_madd_epi16(s2_21_0, k__cospi_p16_p16);
345         const __m128i s2_26_3 = _mm_madd_epi16(s2_21_1, k__cospi_p16_p16);
346         const __m128i s2_27_2 = _mm_madd_epi16(s2_20_0, k__cospi_p16_p16);
347         const __m128i s2_27_3 = _mm_madd_epi16(s2_20_1, k__cospi_p16_p16);
348         // dct_const_round_shift
349         const __m128i s2_20_4 = _mm_add_epi32(s2_20_2, k__DCT_CONST_ROUNDING);
350         const __m128i s2_20_5 = _mm_add_epi32(s2_20_3, k__DCT_CONST_ROUNDING);
351         const __m128i s2_21_4 = _mm_add_epi32(s2_21_2, k__DCT_CONST_ROUNDING);
352         const __m128i s2_21_5 = _mm_add_epi32(s2_21_3, k__DCT_CONST_ROUNDING);
353         const __m128i s2_22_4 = _mm_add_epi32(s2_22_2, k__DCT_CONST_ROUNDING);
354         const __m128i s2_22_5 = _mm_add_epi32(s2_22_3, k__DCT_CONST_ROUNDING);
355         const __m128i s2_23_4 = _mm_add_epi32(s2_23_2, k__DCT_CONST_ROUNDING);
356         const __m128i s2_23_5 = _mm_add_epi32(s2_23_3, k__DCT_CONST_ROUNDING);
357         const __m128i s2_24_4 = _mm_add_epi32(s2_24_2, k__DCT_CONST_ROUNDING);
358         const __m128i s2_24_5 = _mm_add_epi32(s2_24_3, k__DCT_CONST_ROUNDING);
359         const __m128i s2_25_4 = _mm_add_epi32(s2_25_2, k__DCT_CONST_ROUNDING);
360         const __m128i s2_25_5 = _mm_add_epi32(s2_25_3, k__DCT_CONST_ROUNDING);
361         const __m128i s2_26_4 = _mm_add_epi32(s2_26_2, k__DCT_CONST_ROUNDING);
362         const __m128i s2_26_5 = _mm_add_epi32(s2_26_3, k__DCT_CONST_ROUNDING);
363         const __m128i s2_27_4 = _mm_add_epi32(s2_27_2, k__DCT_CONST_ROUNDING);
364         const __m128i s2_27_5 = _mm_add_epi32(s2_27_3, k__DCT_CONST_ROUNDING);
365         const __m128i s2_20_6 = _mm_srai_epi32(s2_20_4, DCT_CONST_BITS);
366         const __m128i s2_20_7 = _mm_srai_epi32(s2_20_5, DCT_CONST_BITS);
367         const __m128i s2_21_6 = _mm_srai_epi32(s2_21_4, DCT_CONST_BITS);
368         const __m128i s2_21_7 = _mm_srai_epi32(s2_21_5, DCT_CONST_BITS);
369         const __m128i s2_22_6 = _mm_srai_epi32(s2_22_4, DCT_CONST_BITS);
370         const __m128i s2_22_7 = _mm_srai_epi32(s2_22_5, DCT_CONST_BITS);
371         const __m128i s2_23_6 = _mm_srai_epi32(s2_23_4, DCT_CONST_BITS);
372         const __m128i s2_23_7 = _mm_srai_epi32(s2_23_5, DCT_CONST_BITS);
373         const __m128i s2_24_6 = _mm_srai_epi32(s2_24_4, DCT_CONST_BITS);
374         const __m128i s2_24_7 = _mm_srai_epi32(s2_24_5, DCT_CONST_BITS);
375         const __m128i s2_25_6 = _mm_srai_epi32(s2_25_4, DCT_CONST_BITS);
376         const __m128i s2_25_7 = _mm_srai_epi32(s2_25_5, DCT_CONST_BITS);
377         const __m128i s2_26_6 = _mm_srai_epi32(s2_26_4, DCT_CONST_BITS);
378         const __m128i s2_26_7 = _mm_srai_epi32(s2_26_5, DCT_CONST_BITS);
379         const __m128i s2_27_6 = _mm_srai_epi32(s2_27_4, DCT_CONST_BITS);
380         const __m128i s2_27_7 = _mm_srai_epi32(s2_27_5, DCT_CONST_BITS);
381         // Combine
382         step2[20] = _mm_packs_epi32(s2_20_6, s2_20_7);
383         step2[21] = _mm_packs_epi32(s2_21_6, s2_21_7);
384         step2[22] = _mm_packs_epi32(s2_22_6, s2_22_7);
385         step2[23] = _mm_packs_epi32(s2_23_6, s2_23_7);
386         step2[24] = _mm_packs_epi32(s2_24_6, s2_24_7);
387         step2[25] = _mm_packs_epi32(s2_25_6, s2_25_7);
388         step2[26] = _mm_packs_epi32(s2_26_6, s2_26_7);
389         step2[27] = _mm_packs_epi32(s2_27_6, s2_27_7);
390       }
391 
392 #if !FDCT32x32_HIGH_PRECISION
393       // dump the magnitude by half, hence the intermediate values are within
394       // the range of 16 bits.
395       if (1 == pass) {
396         __m128i s3_00_0 = _mm_cmplt_epi16(step2[ 0], kZero);
397         __m128i s3_01_0 = _mm_cmplt_epi16(step2[ 1], kZero);
398         __m128i s3_02_0 = _mm_cmplt_epi16(step2[ 2], kZero);
399         __m128i s3_03_0 = _mm_cmplt_epi16(step2[ 3], kZero);
400         __m128i s3_04_0 = _mm_cmplt_epi16(step2[ 4], kZero);
401         __m128i s3_05_0 = _mm_cmplt_epi16(step2[ 5], kZero);
402         __m128i s3_06_0 = _mm_cmplt_epi16(step2[ 6], kZero);
403         __m128i s3_07_0 = _mm_cmplt_epi16(step2[ 7], kZero);
404         __m128i s2_08_0 = _mm_cmplt_epi16(step2[ 8], kZero);
405         __m128i s2_09_0 = _mm_cmplt_epi16(step2[ 9], kZero);
406         __m128i s3_10_0 = _mm_cmplt_epi16(step2[10], kZero);
407         __m128i s3_11_0 = _mm_cmplt_epi16(step2[11], kZero);
408         __m128i s3_12_0 = _mm_cmplt_epi16(step2[12], kZero);
409         __m128i s3_13_0 = _mm_cmplt_epi16(step2[13], kZero);
410         __m128i s2_14_0 = _mm_cmplt_epi16(step2[14], kZero);
411         __m128i s2_15_0 = _mm_cmplt_epi16(step2[15], kZero);
412         __m128i s3_16_0 = _mm_cmplt_epi16(step1[16], kZero);
413         __m128i s3_17_0 = _mm_cmplt_epi16(step1[17], kZero);
414         __m128i s3_18_0 = _mm_cmplt_epi16(step1[18], kZero);
415         __m128i s3_19_0 = _mm_cmplt_epi16(step1[19], kZero);
416         __m128i s3_20_0 = _mm_cmplt_epi16(step2[20], kZero);
417         __m128i s3_21_0 = _mm_cmplt_epi16(step2[21], kZero);
418         __m128i s3_22_0 = _mm_cmplt_epi16(step2[22], kZero);
419         __m128i s3_23_0 = _mm_cmplt_epi16(step2[23], kZero);
420         __m128i s3_24_0 = _mm_cmplt_epi16(step2[24], kZero);
421         __m128i s3_25_0 = _mm_cmplt_epi16(step2[25], kZero);
422         __m128i s3_26_0 = _mm_cmplt_epi16(step2[26], kZero);
423         __m128i s3_27_0 = _mm_cmplt_epi16(step2[27], kZero);
424         __m128i s3_28_0 = _mm_cmplt_epi16(step1[28], kZero);
425         __m128i s3_29_0 = _mm_cmplt_epi16(step1[29], kZero);
426         __m128i s3_30_0 = _mm_cmplt_epi16(step1[30], kZero);
427         __m128i s3_31_0 = _mm_cmplt_epi16(step1[31], kZero);
428 
429         step2[ 0] = _mm_sub_epi16(step2[ 0], s3_00_0);
430         step2[ 1] = _mm_sub_epi16(step2[ 1], s3_01_0);
431         step2[ 2] = _mm_sub_epi16(step2[ 2], s3_02_0);
432         step2[ 3] = _mm_sub_epi16(step2[ 3], s3_03_0);
433         step2[ 4] = _mm_sub_epi16(step2[ 4], s3_04_0);
434         step2[ 5] = _mm_sub_epi16(step2[ 5], s3_05_0);
435         step2[ 6] = _mm_sub_epi16(step2[ 6], s3_06_0);
436         step2[ 7] = _mm_sub_epi16(step2[ 7], s3_07_0);
437         step2[ 8] = _mm_sub_epi16(step2[ 8], s2_08_0);
438         step2[ 9] = _mm_sub_epi16(step2[ 9], s2_09_0);
439         step2[10] = _mm_sub_epi16(step2[10], s3_10_0);
440         step2[11] = _mm_sub_epi16(step2[11], s3_11_0);
441         step2[12] = _mm_sub_epi16(step2[12], s3_12_0);
442         step2[13] = _mm_sub_epi16(step2[13], s3_13_0);
443         step2[14] = _mm_sub_epi16(step2[14], s2_14_0);
444         step2[15] = _mm_sub_epi16(step2[15], s2_15_0);
445         step1[16] = _mm_sub_epi16(step1[16], s3_16_0);
446         step1[17] = _mm_sub_epi16(step1[17], s3_17_0);
447         step1[18] = _mm_sub_epi16(step1[18], s3_18_0);
448         step1[19] = _mm_sub_epi16(step1[19], s3_19_0);
449         step2[20] = _mm_sub_epi16(step2[20], s3_20_0);
450         step2[21] = _mm_sub_epi16(step2[21], s3_21_0);
451         step2[22] = _mm_sub_epi16(step2[22], s3_22_0);
452         step2[23] = _mm_sub_epi16(step2[23], s3_23_0);
453         step2[24] = _mm_sub_epi16(step2[24], s3_24_0);
454         step2[25] = _mm_sub_epi16(step2[25], s3_25_0);
455         step2[26] = _mm_sub_epi16(step2[26], s3_26_0);
456         step2[27] = _mm_sub_epi16(step2[27], s3_27_0);
457         step1[28] = _mm_sub_epi16(step1[28], s3_28_0);
458         step1[29] = _mm_sub_epi16(step1[29], s3_29_0);
459         step1[30] = _mm_sub_epi16(step1[30], s3_30_0);
460         step1[31] = _mm_sub_epi16(step1[31], s3_31_0);
461 
462         step2[ 0] = _mm_add_epi16(step2[ 0], kOne);
463         step2[ 1] = _mm_add_epi16(step2[ 1], kOne);
464         step2[ 2] = _mm_add_epi16(step2[ 2], kOne);
465         step2[ 3] = _mm_add_epi16(step2[ 3], kOne);
466         step2[ 4] = _mm_add_epi16(step2[ 4], kOne);
467         step2[ 5] = _mm_add_epi16(step2[ 5], kOne);
468         step2[ 6] = _mm_add_epi16(step2[ 6], kOne);
469         step2[ 7] = _mm_add_epi16(step2[ 7], kOne);
470         step2[ 8] = _mm_add_epi16(step2[ 8], kOne);
471         step2[ 9] = _mm_add_epi16(step2[ 9], kOne);
472         step2[10] = _mm_add_epi16(step2[10], kOne);
473         step2[11] = _mm_add_epi16(step2[11], kOne);
474         step2[12] = _mm_add_epi16(step2[12], kOne);
475         step2[13] = _mm_add_epi16(step2[13], kOne);
476         step2[14] = _mm_add_epi16(step2[14], kOne);
477         step2[15] = _mm_add_epi16(step2[15], kOne);
478         step1[16] = _mm_add_epi16(step1[16], kOne);
479         step1[17] = _mm_add_epi16(step1[17], kOne);
480         step1[18] = _mm_add_epi16(step1[18], kOne);
481         step1[19] = _mm_add_epi16(step1[19], kOne);
482         step2[20] = _mm_add_epi16(step2[20], kOne);
483         step2[21] = _mm_add_epi16(step2[21], kOne);
484         step2[22] = _mm_add_epi16(step2[22], kOne);
485         step2[23] = _mm_add_epi16(step2[23], kOne);
486         step2[24] = _mm_add_epi16(step2[24], kOne);
487         step2[25] = _mm_add_epi16(step2[25], kOne);
488         step2[26] = _mm_add_epi16(step2[26], kOne);
489         step2[27] = _mm_add_epi16(step2[27], kOne);
490         step1[28] = _mm_add_epi16(step1[28], kOne);
491         step1[29] = _mm_add_epi16(step1[29], kOne);
492         step1[30] = _mm_add_epi16(step1[30], kOne);
493         step1[31] = _mm_add_epi16(step1[31], kOne);
494 
495         step2[ 0] = _mm_srai_epi16(step2[ 0], 2);
496         step2[ 1] = _mm_srai_epi16(step2[ 1], 2);
497         step2[ 2] = _mm_srai_epi16(step2[ 2], 2);
498         step2[ 3] = _mm_srai_epi16(step2[ 3], 2);
499         step2[ 4] = _mm_srai_epi16(step2[ 4], 2);
500         step2[ 5] = _mm_srai_epi16(step2[ 5], 2);
501         step2[ 6] = _mm_srai_epi16(step2[ 6], 2);
502         step2[ 7] = _mm_srai_epi16(step2[ 7], 2);
503         step2[ 8] = _mm_srai_epi16(step2[ 8], 2);
504         step2[ 9] = _mm_srai_epi16(step2[ 9], 2);
505         step2[10] = _mm_srai_epi16(step2[10], 2);
506         step2[11] = _mm_srai_epi16(step2[11], 2);
507         step2[12] = _mm_srai_epi16(step2[12], 2);
508         step2[13] = _mm_srai_epi16(step2[13], 2);
509         step2[14] = _mm_srai_epi16(step2[14], 2);
510         step2[15] = _mm_srai_epi16(step2[15], 2);
511         step1[16] = _mm_srai_epi16(step1[16], 2);
512         step1[17] = _mm_srai_epi16(step1[17], 2);
513         step1[18] = _mm_srai_epi16(step1[18], 2);
514         step1[19] = _mm_srai_epi16(step1[19], 2);
515         step2[20] = _mm_srai_epi16(step2[20], 2);
516         step2[21] = _mm_srai_epi16(step2[21], 2);
517         step2[22] = _mm_srai_epi16(step2[22], 2);
518         step2[23] = _mm_srai_epi16(step2[23], 2);
519         step2[24] = _mm_srai_epi16(step2[24], 2);
520         step2[25] = _mm_srai_epi16(step2[25], 2);
521         step2[26] = _mm_srai_epi16(step2[26], 2);
522         step2[27] = _mm_srai_epi16(step2[27], 2);
523         step1[28] = _mm_srai_epi16(step1[28], 2);
524         step1[29] = _mm_srai_epi16(step1[29], 2);
525         step1[30] = _mm_srai_epi16(step1[30], 2);
526         step1[31] = _mm_srai_epi16(step1[31], 2);
527       }
528 #endif
529 
530 #if FDCT32x32_HIGH_PRECISION
531       if (pass == 0) {
532 #endif
533       // Stage 3
534       {
535         step3[0] = _mm_add_epi16(step2[(8 - 1)], step2[0]);
536         step3[1] = _mm_add_epi16(step2[(8 - 2)], step2[1]);
537         step3[2] = _mm_add_epi16(step2[(8 - 3)], step2[2]);
538         step3[3] = _mm_add_epi16(step2[(8 - 4)], step2[3]);
539         step3[4] = _mm_sub_epi16(step2[(8 - 5)], step2[4]);
540         step3[5] = _mm_sub_epi16(step2[(8 - 6)], step2[5]);
541         step3[6] = _mm_sub_epi16(step2[(8 - 7)], step2[6]);
542         step3[7] = _mm_sub_epi16(step2[(8 - 8)], step2[7]);
543       }
544       {
545         const __m128i s3_10_0 = _mm_unpacklo_epi16(step2[13], step2[10]);
546         const __m128i s3_10_1 = _mm_unpackhi_epi16(step2[13], step2[10]);
547         const __m128i s3_11_0 = _mm_unpacklo_epi16(step2[12], step2[11]);
548         const __m128i s3_11_1 = _mm_unpackhi_epi16(step2[12], step2[11]);
549         const __m128i s3_10_2 = _mm_madd_epi16(s3_10_0, k__cospi_p16_m16);
550         const __m128i s3_10_3 = _mm_madd_epi16(s3_10_1, k__cospi_p16_m16);
551         const __m128i s3_11_2 = _mm_madd_epi16(s3_11_0, k__cospi_p16_m16);
552         const __m128i s3_11_3 = _mm_madd_epi16(s3_11_1, k__cospi_p16_m16);
553         const __m128i s3_12_2 = _mm_madd_epi16(s3_11_0, k__cospi_p16_p16);
554         const __m128i s3_12_3 = _mm_madd_epi16(s3_11_1, k__cospi_p16_p16);
555         const __m128i s3_13_2 = _mm_madd_epi16(s3_10_0, k__cospi_p16_p16);
556         const __m128i s3_13_3 = _mm_madd_epi16(s3_10_1, k__cospi_p16_p16);
557         // dct_const_round_shift
558         const __m128i s3_10_4 = _mm_add_epi32(s3_10_2, k__DCT_CONST_ROUNDING);
559         const __m128i s3_10_5 = _mm_add_epi32(s3_10_3, k__DCT_CONST_ROUNDING);
560         const __m128i s3_11_4 = _mm_add_epi32(s3_11_2, k__DCT_CONST_ROUNDING);
561         const __m128i s3_11_5 = _mm_add_epi32(s3_11_3, k__DCT_CONST_ROUNDING);
562         const __m128i s3_12_4 = _mm_add_epi32(s3_12_2, k__DCT_CONST_ROUNDING);
563         const __m128i s3_12_5 = _mm_add_epi32(s3_12_3, k__DCT_CONST_ROUNDING);
564         const __m128i s3_13_4 = _mm_add_epi32(s3_13_2, k__DCT_CONST_ROUNDING);
565         const __m128i s3_13_5 = _mm_add_epi32(s3_13_3, k__DCT_CONST_ROUNDING);
566         const __m128i s3_10_6 = _mm_srai_epi32(s3_10_4, DCT_CONST_BITS);
567         const __m128i s3_10_7 = _mm_srai_epi32(s3_10_5, DCT_CONST_BITS);
568         const __m128i s3_11_6 = _mm_srai_epi32(s3_11_4, DCT_CONST_BITS);
569         const __m128i s3_11_7 = _mm_srai_epi32(s3_11_5, DCT_CONST_BITS);
570         const __m128i s3_12_6 = _mm_srai_epi32(s3_12_4, DCT_CONST_BITS);
571         const __m128i s3_12_7 = _mm_srai_epi32(s3_12_5, DCT_CONST_BITS);
572         const __m128i s3_13_6 = _mm_srai_epi32(s3_13_4, DCT_CONST_BITS);
573         const __m128i s3_13_7 = _mm_srai_epi32(s3_13_5, DCT_CONST_BITS);
574         // Combine
575         step3[10] = _mm_packs_epi32(s3_10_6, s3_10_7);
576         step3[11] = _mm_packs_epi32(s3_11_6, s3_11_7);
577         step3[12] = _mm_packs_epi32(s3_12_6, s3_12_7);
578         step3[13] = _mm_packs_epi32(s3_13_6, s3_13_7);
579       }
580       {
581         step3[16] = _mm_add_epi16(step2[23], step1[16]);
582         step3[17] = _mm_add_epi16(step2[22], step1[17]);
583         step3[18] = _mm_add_epi16(step2[21], step1[18]);
584         step3[19] = _mm_add_epi16(step2[20], step1[19]);
585         step3[20] = _mm_sub_epi16(step1[19], step2[20]);
586         step3[21] = _mm_sub_epi16(step1[18], step2[21]);
587         step3[22] = _mm_sub_epi16(step1[17], step2[22]);
588         step3[23] = _mm_sub_epi16(step1[16], step2[23]);
589         step3[24] = _mm_sub_epi16(step1[31], step2[24]);
590         step3[25] = _mm_sub_epi16(step1[30], step2[25]);
591         step3[26] = _mm_sub_epi16(step1[29], step2[26]);
592         step3[27] = _mm_sub_epi16(step1[28], step2[27]);
593         step3[28] = _mm_add_epi16(step2[27], step1[28]);
594         step3[29] = _mm_add_epi16(step2[26], step1[29]);
595         step3[30] = _mm_add_epi16(step2[25], step1[30]);
596         step3[31] = _mm_add_epi16(step2[24], step1[31]);
597       }
598 
599       // Stage 4
600       {
601         step1[ 0] = _mm_add_epi16(step3[ 3], step3[ 0]);
602         step1[ 1] = _mm_add_epi16(step3[ 2], step3[ 1]);
603         step1[ 2] = _mm_sub_epi16(step3[ 1], step3[ 2]);
604         step1[ 3] = _mm_sub_epi16(step3[ 0], step3[ 3]);
605         step1[ 8] = _mm_add_epi16(step3[11], step2[ 8]);
606         step1[ 9] = _mm_add_epi16(step3[10], step2[ 9]);
607         step1[10] = _mm_sub_epi16(step2[ 9], step3[10]);
608         step1[11] = _mm_sub_epi16(step2[ 8], step3[11]);
609         step1[12] = _mm_sub_epi16(step2[15], step3[12]);
610         step1[13] = _mm_sub_epi16(step2[14], step3[13]);
611         step1[14] = _mm_add_epi16(step3[13], step2[14]);
612         step1[15] = _mm_add_epi16(step3[12], step2[15]);
613       }
614       {
615         const __m128i s1_05_0 = _mm_unpacklo_epi16(step3[6], step3[5]);
616         const __m128i s1_05_1 = _mm_unpackhi_epi16(step3[6], step3[5]);
617         const __m128i s1_05_2 = _mm_madd_epi16(s1_05_0, k__cospi_p16_m16);
618         const __m128i s1_05_3 = _mm_madd_epi16(s1_05_1, k__cospi_p16_m16);
619         const __m128i s1_06_2 = _mm_madd_epi16(s1_05_0, k__cospi_p16_p16);
620         const __m128i s1_06_3 = _mm_madd_epi16(s1_05_1, k__cospi_p16_p16);
621         // dct_const_round_shift
622         const __m128i s1_05_4 = _mm_add_epi32(s1_05_2, k__DCT_CONST_ROUNDING);
623         const __m128i s1_05_5 = _mm_add_epi32(s1_05_3, k__DCT_CONST_ROUNDING);
624         const __m128i s1_06_4 = _mm_add_epi32(s1_06_2, k__DCT_CONST_ROUNDING);
625         const __m128i s1_06_5 = _mm_add_epi32(s1_06_3, k__DCT_CONST_ROUNDING);
626         const __m128i s1_05_6 = _mm_srai_epi32(s1_05_4, DCT_CONST_BITS);
627         const __m128i s1_05_7 = _mm_srai_epi32(s1_05_5, DCT_CONST_BITS);
628         const __m128i s1_06_6 = _mm_srai_epi32(s1_06_4, DCT_CONST_BITS);
629         const __m128i s1_06_7 = _mm_srai_epi32(s1_06_5, DCT_CONST_BITS);
630         // Combine
631         step1[5] = _mm_packs_epi32(s1_05_6, s1_05_7);
632         step1[6] = _mm_packs_epi32(s1_06_6, s1_06_7);
633       }
634       {
635         const __m128i s1_18_0 = _mm_unpacklo_epi16(step3[18], step3[29]);
636         const __m128i s1_18_1 = _mm_unpackhi_epi16(step3[18], step3[29]);
637         const __m128i s1_19_0 = _mm_unpacklo_epi16(step3[19], step3[28]);
638         const __m128i s1_19_1 = _mm_unpackhi_epi16(step3[19], step3[28]);
639         const __m128i s1_20_0 = _mm_unpacklo_epi16(step3[20], step3[27]);
640         const __m128i s1_20_1 = _mm_unpackhi_epi16(step3[20], step3[27]);
641         const __m128i s1_21_0 = _mm_unpacklo_epi16(step3[21], step3[26]);
642         const __m128i s1_21_1 = _mm_unpackhi_epi16(step3[21], step3[26]);
643         const __m128i s1_18_2 = _mm_madd_epi16(s1_18_0, k__cospi_m08_p24);
644         const __m128i s1_18_3 = _mm_madd_epi16(s1_18_1, k__cospi_m08_p24);
645         const __m128i s1_19_2 = _mm_madd_epi16(s1_19_0, k__cospi_m08_p24);
646         const __m128i s1_19_3 = _mm_madd_epi16(s1_19_1, k__cospi_m08_p24);
647         const __m128i s1_20_2 = _mm_madd_epi16(s1_20_0, k__cospi_m24_m08);
648         const __m128i s1_20_3 = _mm_madd_epi16(s1_20_1, k__cospi_m24_m08);
649         const __m128i s1_21_2 = _mm_madd_epi16(s1_21_0, k__cospi_m24_m08);
650         const __m128i s1_21_3 = _mm_madd_epi16(s1_21_1, k__cospi_m24_m08);
651         const __m128i s1_26_2 = _mm_madd_epi16(s1_21_0, k__cospi_m08_p24);
652         const __m128i s1_26_3 = _mm_madd_epi16(s1_21_1, k__cospi_m08_p24);
653         const __m128i s1_27_2 = _mm_madd_epi16(s1_20_0, k__cospi_m08_p24);
654         const __m128i s1_27_3 = _mm_madd_epi16(s1_20_1, k__cospi_m08_p24);
655         const __m128i s1_28_2 = _mm_madd_epi16(s1_19_0, k__cospi_p24_p08);
656         const __m128i s1_28_3 = _mm_madd_epi16(s1_19_1, k__cospi_p24_p08);
657         const __m128i s1_29_2 = _mm_madd_epi16(s1_18_0, k__cospi_p24_p08);
658         const __m128i s1_29_3 = _mm_madd_epi16(s1_18_1, k__cospi_p24_p08);
659         // dct_const_round_shift
660         const __m128i s1_18_4 = _mm_add_epi32(s1_18_2, k__DCT_CONST_ROUNDING);
661         const __m128i s1_18_5 = _mm_add_epi32(s1_18_3, k__DCT_CONST_ROUNDING);
662         const __m128i s1_19_4 = _mm_add_epi32(s1_19_2, k__DCT_CONST_ROUNDING);
663         const __m128i s1_19_5 = _mm_add_epi32(s1_19_3, k__DCT_CONST_ROUNDING);
664         const __m128i s1_20_4 = _mm_add_epi32(s1_20_2, k__DCT_CONST_ROUNDING);
665         const __m128i s1_20_5 = _mm_add_epi32(s1_20_3, k__DCT_CONST_ROUNDING);
666         const __m128i s1_21_4 = _mm_add_epi32(s1_21_2, k__DCT_CONST_ROUNDING);
667         const __m128i s1_21_5 = _mm_add_epi32(s1_21_3, k__DCT_CONST_ROUNDING);
668         const __m128i s1_26_4 = _mm_add_epi32(s1_26_2, k__DCT_CONST_ROUNDING);
669         const __m128i s1_26_5 = _mm_add_epi32(s1_26_3, k__DCT_CONST_ROUNDING);
670         const __m128i s1_27_4 = _mm_add_epi32(s1_27_2, k__DCT_CONST_ROUNDING);
671         const __m128i s1_27_5 = _mm_add_epi32(s1_27_3, k__DCT_CONST_ROUNDING);
672         const __m128i s1_28_4 = _mm_add_epi32(s1_28_2, k__DCT_CONST_ROUNDING);
673         const __m128i s1_28_5 = _mm_add_epi32(s1_28_3, k__DCT_CONST_ROUNDING);
674         const __m128i s1_29_4 = _mm_add_epi32(s1_29_2, k__DCT_CONST_ROUNDING);
675         const __m128i s1_29_5 = _mm_add_epi32(s1_29_3, k__DCT_CONST_ROUNDING);
676         const __m128i s1_18_6 = _mm_srai_epi32(s1_18_4, DCT_CONST_BITS);
677         const __m128i s1_18_7 = _mm_srai_epi32(s1_18_5, DCT_CONST_BITS);
678         const __m128i s1_19_6 = _mm_srai_epi32(s1_19_4, DCT_CONST_BITS);
679         const __m128i s1_19_7 = _mm_srai_epi32(s1_19_5, DCT_CONST_BITS);
680         const __m128i s1_20_6 = _mm_srai_epi32(s1_20_4, DCT_CONST_BITS);
681         const __m128i s1_20_7 = _mm_srai_epi32(s1_20_5, DCT_CONST_BITS);
682         const __m128i s1_21_6 = _mm_srai_epi32(s1_21_4, DCT_CONST_BITS);
683         const __m128i s1_21_7 = _mm_srai_epi32(s1_21_5, DCT_CONST_BITS);
684         const __m128i s1_26_6 = _mm_srai_epi32(s1_26_4, DCT_CONST_BITS);
685         const __m128i s1_26_7 = _mm_srai_epi32(s1_26_5, DCT_CONST_BITS);
686         const __m128i s1_27_6 = _mm_srai_epi32(s1_27_4, DCT_CONST_BITS);
687         const __m128i s1_27_7 = _mm_srai_epi32(s1_27_5, DCT_CONST_BITS);
688         const __m128i s1_28_6 = _mm_srai_epi32(s1_28_4, DCT_CONST_BITS);
689         const __m128i s1_28_7 = _mm_srai_epi32(s1_28_5, DCT_CONST_BITS);
690         const __m128i s1_29_6 = _mm_srai_epi32(s1_29_4, DCT_CONST_BITS);
691         const __m128i s1_29_7 = _mm_srai_epi32(s1_29_5, DCT_CONST_BITS);
692         // Combine
693         step1[18] = _mm_packs_epi32(s1_18_6, s1_18_7);
694         step1[19] = _mm_packs_epi32(s1_19_6, s1_19_7);
695         step1[20] = _mm_packs_epi32(s1_20_6, s1_20_7);
696         step1[21] = _mm_packs_epi32(s1_21_6, s1_21_7);
697         step1[26] = _mm_packs_epi32(s1_26_6, s1_26_7);
698         step1[27] = _mm_packs_epi32(s1_27_6, s1_27_7);
699         step1[28] = _mm_packs_epi32(s1_28_6, s1_28_7);
700         step1[29] = _mm_packs_epi32(s1_29_6, s1_29_7);
701       }
702       // Stage 5
703       {
704         step2[4] = _mm_add_epi16(step1[5], step3[4]);
705         step2[5] = _mm_sub_epi16(step3[4], step1[5]);
706         step2[6] = _mm_sub_epi16(step3[7], step1[6]);
707         step2[7] = _mm_add_epi16(step1[6], step3[7]);
708       }
709       {
710         const __m128i out_00_0 = _mm_unpacklo_epi16(step1[0], step1[1]);
711         const __m128i out_00_1 = _mm_unpackhi_epi16(step1[0], step1[1]);
712         const __m128i out_08_0 = _mm_unpacklo_epi16(step1[2], step1[3]);
713         const __m128i out_08_1 = _mm_unpackhi_epi16(step1[2], step1[3]);
714         const __m128i out_00_2 = _mm_madd_epi16(out_00_0, k__cospi_p16_p16);
715         const __m128i out_00_3 = _mm_madd_epi16(out_00_1, k__cospi_p16_p16);
716         const __m128i out_16_2 = _mm_madd_epi16(out_00_0, k__cospi_p16_m16);
717         const __m128i out_16_3 = _mm_madd_epi16(out_00_1, k__cospi_p16_m16);
718         const __m128i out_08_2 = _mm_madd_epi16(out_08_0, k__cospi_p24_p08);
719         const __m128i out_08_3 = _mm_madd_epi16(out_08_1, k__cospi_p24_p08);
720         const __m128i out_24_2 = _mm_madd_epi16(out_08_0, k__cospi_m08_p24);
721         const __m128i out_24_3 = _mm_madd_epi16(out_08_1, k__cospi_m08_p24);
722         // dct_const_round_shift
723         const __m128i out_00_4 = _mm_add_epi32(out_00_2, k__DCT_CONST_ROUNDING);
724         const __m128i out_00_5 = _mm_add_epi32(out_00_3, k__DCT_CONST_ROUNDING);
725         const __m128i out_16_4 = _mm_add_epi32(out_16_2, k__DCT_CONST_ROUNDING);
726         const __m128i out_16_5 = _mm_add_epi32(out_16_3, k__DCT_CONST_ROUNDING);
727         const __m128i out_08_4 = _mm_add_epi32(out_08_2, k__DCT_CONST_ROUNDING);
728         const __m128i out_08_5 = _mm_add_epi32(out_08_3, k__DCT_CONST_ROUNDING);
729         const __m128i out_24_4 = _mm_add_epi32(out_24_2, k__DCT_CONST_ROUNDING);
730         const __m128i out_24_5 = _mm_add_epi32(out_24_3, k__DCT_CONST_ROUNDING);
731         const __m128i out_00_6 = _mm_srai_epi32(out_00_4, DCT_CONST_BITS);
732         const __m128i out_00_7 = _mm_srai_epi32(out_00_5, DCT_CONST_BITS);
733         const __m128i out_16_6 = _mm_srai_epi32(out_16_4, DCT_CONST_BITS);
734         const __m128i out_16_7 = _mm_srai_epi32(out_16_5, DCT_CONST_BITS);
735         const __m128i out_08_6 = _mm_srai_epi32(out_08_4, DCT_CONST_BITS);
736         const __m128i out_08_7 = _mm_srai_epi32(out_08_5, DCT_CONST_BITS);
737         const __m128i out_24_6 = _mm_srai_epi32(out_24_4, DCT_CONST_BITS);
738         const __m128i out_24_7 = _mm_srai_epi32(out_24_5, DCT_CONST_BITS);
739         // Combine
740         out[ 0] = _mm_packs_epi32(out_00_6, out_00_7);
741         out[16] = _mm_packs_epi32(out_16_6, out_16_7);
742         out[ 8] = _mm_packs_epi32(out_08_6, out_08_7);
743         out[24] = _mm_packs_epi32(out_24_6, out_24_7);
744       }
745       {
746         const __m128i s2_09_0 = _mm_unpacklo_epi16(step1[ 9], step1[14]);
747         const __m128i s2_09_1 = _mm_unpackhi_epi16(step1[ 9], step1[14]);
748         const __m128i s2_10_0 = _mm_unpacklo_epi16(step1[10], step1[13]);
749         const __m128i s2_10_1 = _mm_unpackhi_epi16(step1[10], step1[13]);
750         const __m128i s2_09_2 = _mm_madd_epi16(s2_09_0, k__cospi_m08_p24);
751         const __m128i s2_09_3 = _mm_madd_epi16(s2_09_1, k__cospi_m08_p24);
752         const __m128i s2_10_2 = _mm_madd_epi16(s2_10_0, k__cospi_m24_m08);
753         const __m128i s2_10_3 = _mm_madd_epi16(s2_10_1, k__cospi_m24_m08);
754         const __m128i s2_13_2 = _mm_madd_epi16(s2_10_0, k__cospi_m08_p24);
755         const __m128i s2_13_3 = _mm_madd_epi16(s2_10_1, k__cospi_m08_p24);
756         const __m128i s2_14_2 = _mm_madd_epi16(s2_09_0, k__cospi_p24_p08);
757         const __m128i s2_14_3 = _mm_madd_epi16(s2_09_1, k__cospi_p24_p08);
758         // dct_const_round_shift
759         const __m128i s2_09_4 = _mm_add_epi32(s2_09_2, k__DCT_CONST_ROUNDING);
760         const __m128i s2_09_5 = _mm_add_epi32(s2_09_3, k__DCT_CONST_ROUNDING);
761         const __m128i s2_10_4 = _mm_add_epi32(s2_10_2, k__DCT_CONST_ROUNDING);
762         const __m128i s2_10_5 = _mm_add_epi32(s2_10_3, k__DCT_CONST_ROUNDING);
763         const __m128i s2_13_4 = _mm_add_epi32(s2_13_2, k__DCT_CONST_ROUNDING);
764         const __m128i s2_13_5 = _mm_add_epi32(s2_13_3, k__DCT_CONST_ROUNDING);
765         const __m128i s2_14_4 = _mm_add_epi32(s2_14_2, k__DCT_CONST_ROUNDING);
766         const __m128i s2_14_5 = _mm_add_epi32(s2_14_3, k__DCT_CONST_ROUNDING);
767         const __m128i s2_09_6 = _mm_srai_epi32(s2_09_4, DCT_CONST_BITS);
768         const __m128i s2_09_7 = _mm_srai_epi32(s2_09_5, DCT_CONST_BITS);
769         const __m128i s2_10_6 = _mm_srai_epi32(s2_10_4, DCT_CONST_BITS);
770         const __m128i s2_10_7 = _mm_srai_epi32(s2_10_5, DCT_CONST_BITS);
771         const __m128i s2_13_6 = _mm_srai_epi32(s2_13_4, DCT_CONST_BITS);
772         const __m128i s2_13_7 = _mm_srai_epi32(s2_13_5, DCT_CONST_BITS);
773         const __m128i s2_14_6 = _mm_srai_epi32(s2_14_4, DCT_CONST_BITS);
774         const __m128i s2_14_7 = _mm_srai_epi32(s2_14_5, DCT_CONST_BITS);
775         // Combine
776         step2[ 9] = _mm_packs_epi32(s2_09_6, s2_09_7);
777         step2[10] = _mm_packs_epi32(s2_10_6, s2_10_7);
778         step2[13] = _mm_packs_epi32(s2_13_6, s2_13_7);
779         step2[14] = _mm_packs_epi32(s2_14_6, s2_14_7);
780       }
781       {
782         step2[16] = _mm_add_epi16(step1[19], step3[16]);
783         step2[17] = _mm_add_epi16(step1[18], step3[17]);
784         step2[18] = _mm_sub_epi16(step3[17], step1[18]);
785         step2[19] = _mm_sub_epi16(step3[16], step1[19]);
786         step2[20] = _mm_sub_epi16(step3[23], step1[20]);
787         step2[21] = _mm_sub_epi16(step3[22], step1[21]);
788         step2[22] = _mm_add_epi16(step1[21], step3[22]);
789         step2[23] = _mm_add_epi16(step1[20], step3[23]);
790         step2[24] = _mm_add_epi16(step1[27], step3[24]);
791         step2[25] = _mm_add_epi16(step1[26], step3[25]);
792         step2[26] = _mm_sub_epi16(step3[25], step1[26]);
793         step2[27] = _mm_sub_epi16(step3[24], step1[27]);
794         step2[28] = _mm_sub_epi16(step3[31], step1[28]);
795         step2[29] = _mm_sub_epi16(step3[30], step1[29]);
796         step2[30] = _mm_add_epi16(step1[29], step3[30]);
797         step2[31] = _mm_add_epi16(step1[28], step3[31]);
798       }
799       // Stage 6
800       {
801         const __m128i out_04_0 = _mm_unpacklo_epi16(step2[4], step2[7]);
802         const __m128i out_04_1 = _mm_unpackhi_epi16(step2[4], step2[7]);
803         const __m128i out_20_0 = _mm_unpacklo_epi16(step2[5], step2[6]);
804         const __m128i out_20_1 = _mm_unpackhi_epi16(step2[5], step2[6]);
805         const __m128i out_12_0 = _mm_unpacklo_epi16(step2[5], step2[6]);
806         const __m128i out_12_1 = _mm_unpackhi_epi16(step2[5], step2[6]);
807         const __m128i out_28_0 = _mm_unpacklo_epi16(step2[4], step2[7]);
808         const __m128i out_28_1 = _mm_unpackhi_epi16(step2[4], step2[7]);
809         const __m128i out_04_2 = _mm_madd_epi16(out_04_0, k__cospi_p28_p04);
810         const __m128i out_04_3 = _mm_madd_epi16(out_04_1, k__cospi_p28_p04);
811         const __m128i out_20_2 = _mm_madd_epi16(out_20_0, k__cospi_p12_p20);
812         const __m128i out_20_3 = _mm_madd_epi16(out_20_1, k__cospi_p12_p20);
813         const __m128i out_12_2 = _mm_madd_epi16(out_12_0, k__cospi_m20_p12);
814         const __m128i out_12_3 = _mm_madd_epi16(out_12_1, k__cospi_m20_p12);
815         const __m128i out_28_2 = _mm_madd_epi16(out_28_0, k__cospi_m04_p28);
816         const __m128i out_28_3 = _mm_madd_epi16(out_28_1, k__cospi_m04_p28);
817         // dct_const_round_shift
818         const __m128i out_04_4 = _mm_add_epi32(out_04_2, k__DCT_CONST_ROUNDING);
819         const __m128i out_04_5 = _mm_add_epi32(out_04_3, k__DCT_CONST_ROUNDING);
820         const __m128i out_20_4 = _mm_add_epi32(out_20_2, k__DCT_CONST_ROUNDING);
821         const __m128i out_20_5 = _mm_add_epi32(out_20_3, k__DCT_CONST_ROUNDING);
822         const __m128i out_12_4 = _mm_add_epi32(out_12_2, k__DCT_CONST_ROUNDING);
823         const __m128i out_12_5 = _mm_add_epi32(out_12_3, k__DCT_CONST_ROUNDING);
824         const __m128i out_28_4 = _mm_add_epi32(out_28_2, k__DCT_CONST_ROUNDING);
825         const __m128i out_28_5 = _mm_add_epi32(out_28_3, k__DCT_CONST_ROUNDING);
826         const __m128i out_04_6 = _mm_srai_epi32(out_04_4, DCT_CONST_BITS);
827         const __m128i out_04_7 = _mm_srai_epi32(out_04_5, DCT_CONST_BITS);
828         const __m128i out_20_6 = _mm_srai_epi32(out_20_4, DCT_CONST_BITS);
829         const __m128i out_20_7 = _mm_srai_epi32(out_20_5, DCT_CONST_BITS);
830         const __m128i out_12_6 = _mm_srai_epi32(out_12_4, DCT_CONST_BITS);
831         const __m128i out_12_7 = _mm_srai_epi32(out_12_5, DCT_CONST_BITS);
832         const __m128i out_28_6 = _mm_srai_epi32(out_28_4, DCT_CONST_BITS);
833         const __m128i out_28_7 = _mm_srai_epi32(out_28_5, DCT_CONST_BITS);
834         // Combine
835         out[ 4] = _mm_packs_epi32(out_04_6, out_04_7);
836         out[20] = _mm_packs_epi32(out_20_6, out_20_7);
837         out[12] = _mm_packs_epi32(out_12_6, out_12_7);
838         out[28] = _mm_packs_epi32(out_28_6, out_28_7);
839       }
840       {
841         step3[ 8] = _mm_add_epi16(step2[ 9], step1[ 8]);
842         step3[ 9] = _mm_sub_epi16(step1[ 8], step2[ 9]);
843         step3[10] = _mm_sub_epi16(step1[11], step2[10]);
844         step3[11] = _mm_add_epi16(step2[10], step1[11]);
845         step3[12] = _mm_add_epi16(step2[13], step1[12]);
846         step3[13] = _mm_sub_epi16(step1[12], step2[13]);
847         step3[14] = _mm_sub_epi16(step1[15], step2[14]);
848         step3[15] = _mm_add_epi16(step2[14], step1[15]);
849       }
850       {
851         const __m128i s3_17_0 = _mm_unpacklo_epi16(step2[17], step2[30]);
852         const __m128i s3_17_1 = _mm_unpackhi_epi16(step2[17], step2[30]);
853         const __m128i s3_18_0 = _mm_unpacklo_epi16(step2[18], step2[29]);
854         const __m128i s3_18_1 = _mm_unpackhi_epi16(step2[18], step2[29]);
855         const __m128i s3_21_0 = _mm_unpacklo_epi16(step2[21], step2[26]);
856         const __m128i s3_21_1 = _mm_unpackhi_epi16(step2[21], step2[26]);
857         const __m128i s3_22_0 = _mm_unpacklo_epi16(step2[22], step2[25]);
858         const __m128i s3_22_1 = _mm_unpackhi_epi16(step2[22], step2[25]);
859         const __m128i s3_17_2 = _mm_madd_epi16(s3_17_0, k__cospi_m04_p28);
860         const __m128i s3_17_3 = _mm_madd_epi16(s3_17_1, k__cospi_m04_p28);
861         const __m128i s3_18_2 = _mm_madd_epi16(s3_18_0, k__cospi_m28_m04);
862         const __m128i s3_18_3 = _mm_madd_epi16(s3_18_1, k__cospi_m28_m04);
863         const __m128i s3_21_2 = _mm_madd_epi16(s3_21_0, k__cospi_m20_p12);
864         const __m128i s3_21_3 = _mm_madd_epi16(s3_21_1, k__cospi_m20_p12);
865         const __m128i s3_22_2 = _mm_madd_epi16(s3_22_0, k__cospi_m12_m20);
866         const __m128i s3_22_3 = _mm_madd_epi16(s3_22_1, k__cospi_m12_m20);
867         const __m128i s3_25_2 = _mm_madd_epi16(s3_22_0, k__cospi_m20_p12);
868         const __m128i s3_25_3 = _mm_madd_epi16(s3_22_1, k__cospi_m20_p12);
869         const __m128i s3_26_2 = _mm_madd_epi16(s3_21_0, k__cospi_p12_p20);
870         const __m128i s3_26_3 = _mm_madd_epi16(s3_21_1, k__cospi_p12_p20);
871         const __m128i s3_29_2 = _mm_madd_epi16(s3_18_0, k__cospi_m04_p28);
872         const __m128i s3_29_3 = _mm_madd_epi16(s3_18_1, k__cospi_m04_p28);
873         const __m128i s3_30_2 = _mm_madd_epi16(s3_17_0, k__cospi_p28_p04);
874         const __m128i s3_30_3 = _mm_madd_epi16(s3_17_1, k__cospi_p28_p04);
875         // dct_const_round_shift
876         const __m128i s3_17_4 = _mm_add_epi32(s3_17_2, k__DCT_CONST_ROUNDING);
877         const __m128i s3_17_5 = _mm_add_epi32(s3_17_3, k__DCT_CONST_ROUNDING);
878         const __m128i s3_18_4 = _mm_add_epi32(s3_18_2, k__DCT_CONST_ROUNDING);
879         const __m128i s3_18_5 = _mm_add_epi32(s3_18_3, k__DCT_CONST_ROUNDING);
880         const __m128i s3_21_4 = _mm_add_epi32(s3_21_2, k__DCT_CONST_ROUNDING);
881         const __m128i s3_21_5 = _mm_add_epi32(s3_21_3, k__DCT_CONST_ROUNDING);
882         const __m128i s3_22_4 = _mm_add_epi32(s3_22_2, k__DCT_CONST_ROUNDING);
883         const __m128i s3_22_5 = _mm_add_epi32(s3_22_3, k__DCT_CONST_ROUNDING);
884         const __m128i s3_17_6 = _mm_srai_epi32(s3_17_4, DCT_CONST_BITS);
885         const __m128i s3_17_7 = _mm_srai_epi32(s3_17_5, DCT_CONST_BITS);
886         const __m128i s3_18_6 = _mm_srai_epi32(s3_18_4, DCT_CONST_BITS);
887         const __m128i s3_18_7 = _mm_srai_epi32(s3_18_5, DCT_CONST_BITS);
888         const __m128i s3_21_6 = _mm_srai_epi32(s3_21_4, DCT_CONST_BITS);
889         const __m128i s3_21_7 = _mm_srai_epi32(s3_21_5, DCT_CONST_BITS);
890         const __m128i s3_22_6 = _mm_srai_epi32(s3_22_4, DCT_CONST_BITS);
891         const __m128i s3_22_7 = _mm_srai_epi32(s3_22_5, DCT_CONST_BITS);
892         const __m128i s3_25_4 = _mm_add_epi32(s3_25_2, k__DCT_CONST_ROUNDING);
893         const __m128i s3_25_5 = _mm_add_epi32(s3_25_3, k__DCT_CONST_ROUNDING);
894         const __m128i s3_26_4 = _mm_add_epi32(s3_26_2, k__DCT_CONST_ROUNDING);
895         const __m128i s3_26_5 = _mm_add_epi32(s3_26_3, k__DCT_CONST_ROUNDING);
896         const __m128i s3_29_4 = _mm_add_epi32(s3_29_2, k__DCT_CONST_ROUNDING);
897         const __m128i s3_29_5 = _mm_add_epi32(s3_29_3, k__DCT_CONST_ROUNDING);
898         const __m128i s3_30_4 = _mm_add_epi32(s3_30_2, k__DCT_CONST_ROUNDING);
899         const __m128i s3_30_5 = _mm_add_epi32(s3_30_3, k__DCT_CONST_ROUNDING);
900         const __m128i s3_25_6 = _mm_srai_epi32(s3_25_4, DCT_CONST_BITS);
901         const __m128i s3_25_7 = _mm_srai_epi32(s3_25_5, DCT_CONST_BITS);
902         const __m128i s3_26_6 = _mm_srai_epi32(s3_26_4, DCT_CONST_BITS);
903         const __m128i s3_26_7 = _mm_srai_epi32(s3_26_5, DCT_CONST_BITS);
904         const __m128i s3_29_6 = _mm_srai_epi32(s3_29_4, DCT_CONST_BITS);
905         const __m128i s3_29_7 = _mm_srai_epi32(s3_29_5, DCT_CONST_BITS);
906         const __m128i s3_30_6 = _mm_srai_epi32(s3_30_4, DCT_CONST_BITS);
907         const __m128i s3_30_7 = _mm_srai_epi32(s3_30_5, DCT_CONST_BITS);
908         // Combine
909         step3[17] = _mm_packs_epi32(s3_17_6, s3_17_7);
910         step3[18] = _mm_packs_epi32(s3_18_6, s3_18_7);
911         step3[21] = _mm_packs_epi32(s3_21_6, s3_21_7);
912         step3[22] = _mm_packs_epi32(s3_22_6, s3_22_7);
913         // Combine
914         step3[25] = _mm_packs_epi32(s3_25_6, s3_25_7);
915         step3[26] = _mm_packs_epi32(s3_26_6, s3_26_7);
916         step3[29] = _mm_packs_epi32(s3_29_6, s3_29_7);
917         step3[30] = _mm_packs_epi32(s3_30_6, s3_30_7);
918       }
919       // Stage 7
920       {
921         const __m128i out_02_0 = _mm_unpacklo_epi16(step3[ 8], step3[15]);
922         const __m128i out_02_1 = _mm_unpackhi_epi16(step3[ 8], step3[15]);
923         const __m128i out_18_0 = _mm_unpacklo_epi16(step3[ 9], step3[14]);
924         const __m128i out_18_1 = _mm_unpackhi_epi16(step3[ 9], step3[14]);
925         const __m128i out_10_0 = _mm_unpacklo_epi16(step3[10], step3[13]);
926         const __m128i out_10_1 = _mm_unpackhi_epi16(step3[10], step3[13]);
927         const __m128i out_26_0 = _mm_unpacklo_epi16(step3[11], step3[12]);
928         const __m128i out_26_1 = _mm_unpackhi_epi16(step3[11], step3[12]);
929         const __m128i out_02_2 = _mm_madd_epi16(out_02_0, k__cospi_p30_p02);
930         const __m128i out_02_3 = _mm_madd_epi16(out_02_1, k__cospi_p30_p02);
931         const __m128i out_18_2 = _mm_madd_epi16(out_18_0, k__cospi_p14_p18);
932         const __m128i out_18_3 = _mm_madd_epi16(out_18_1, k__cospi_p14_p18);
933         const __m128i out_10_2 = _mm_madd_epi16(out_10_0, k__cospi_p22_p10);
934         const __m128i out_10_3 = _mm_madd_epi16(out_10_1, k__cospi_p22_p10);
935         const __m128i out_26_2 = _mm_madd_epi16(out_26_0, k__cospi_p06_p26);
936         const __m128i out_26_3 = _mm_madd_epi16(out_26_1, k__cospi_p06_p26);
937         const __m128i out_06_2 = _mm_madd_epi16(out_26_0, k__cospi_m26_p06);
938         const __m128i out_06_3 = _mm_madd_epi16(out_26_1, k__cospi_m26_p06);
939         const __m128i out_22_2 = _mm_madd_epi16(out_10_0, k__cospi_m10_p22);
940         const __m128i out_22_3 = _mm_madd_epi16(out_10_1, k__cospi_m10_p22);
941         const __m128i out_14_2 = _mm_madd_epi16(out_18_0, k__cospi_m18_p14);
942         const __m128i out_14_3 = _mm_madd_epi16(out_18_1, k__cospi_m18_p14);
943         const __m128i out_30_2 = _mm_madd_epi16(out_02_0, k__cospi_m02_p30);
944         const __m128i out_30_3 = _mm_madd_epi16(out_02_1, k__cospi_m02_p30);
945         // dct_const_round_shift
946         const __m128i out_02_4 = _mm_add_epi32(out_02_2, k__DCT_CONST_ROUNDING);
947         const __m128i out_02_5 = _mm_add_epi32(out_02_3, k__DCT_CONST_ROUNDING);
948         const __m128i out_18_4 = _mm_add_epi32(out_18_2, k__DCT_CONST_ROUNDING);
949         const __m128i out_18_5 = _mm_add_epi32(out_18_3, k__DCT_CONST_ROUNDING);
950         const __m128i out_10_4 = _mm_add_epi32(out_10_2, k__DCT_CONST_ROUNDING);
951         const __m128i out_10_5 = _mm_add_epi32(out_10_3, k__DCT_CONST_ROUNDING);
952         const __m128i out_26_4 = _mm_add_epi32(out_26_2, k__DCT_CONST_ROUNDING);
953         const __m128i out_26_5 = _mm_add_epi32(out_26_3, k__DCT_CONST_ROUNDING);
954         const __m128i out_06_4 = _mm_add_epi32(out_06_2, k__DCT_CONST_ROUNDING);
955         const __m128i out_06_5 = _mm_add_epi32(out_06_3, k__DCT_CONST_ROUNDING);
956         const __m128i out_22_4 = _mm_add_epi32(out_22_2, k__DCT_CONST_ROUNDING);
957         const __m128i out_22_5 = _mm_add_epi32(out_22_3, k__DCT_CONST_ROUNDING);
958         const __m128i out_14_4 = _mm_add_epi32(out_14_2, k__DCT_CONST_ROUNDING);
959         const __m128i out_14_5 = _mm_add_epi32(out_14_3, k__DCT_CONST_ROUNDING);
960         const __m128i out_30_4 = _mm_add_epi32(out_30_2, k__DCT_CONST_ROUNDING);
961         const __m128i out_30_5 = _mm_add_epi32(out_30_3, k__DCT_CONST_ROUNDING);
962         const __m128i out_02_6 = _mm_srai_epi32(out_02_4, DCT_CONST_BITS);
963         const __m128i out_02_7 = _mm_srai_epi32(out_02_5, DCT_CONST_BITS);
964         const __m128i out_18_6 = _mm_srai_epi32(out_18_4, DCT_CONST_BITS);
965         const __m128i out_18_7 = _mm_srai_epi32(out_18_5, DCT_CONST_BITS);
966         const __m128i out_10_6 = _mm_srai_epi32(out_10_4, DCT_CONST_BITS);
967         const __m128i out_10_7 = _mm_srai_epi32(out_10_5, DCT_CONST_BITS);
968         const __m128i out_26_6 = _mm_srai_epi32(out_26_4, DCT_CONST_BITS);
969         const __m128i out_26_7 = _mm_srai_epi32(out_26_5, DCT_CONST_BITS);
970         const __m128i out_06_6 = _mm_srai_epi32(out_06_4, DCT_CONST_BITS);
971         const __m128i out_06_7 = _mm_srai_epi32(out_06_5, DCT_CONST_BITS);
972         const __m128i out_22_6 = _mm_srai_epi32(out_22_4, DCT_CONST_BITS);
973         const __m128i out_22_7 = _mm_srai_epi32(out_22_5, DCT_CONST_BITS);
974         const __m128i out_14_6 = _mm_srai_epi32(out_14_4, DCT_CONST_BITS);
975         const __m128i out_14_7 = _mm_srai_epi32(out_14_5, DCT_CONST_BITS);
976         const __m128i out_30_6 = _mm_srai_epi32(out_30_4, DCT_CONST_BITS);
977         const __m128i out_30_7 = _mm_srai_epi32(out_30_5, DCT_CONST_BITS);
978         // Combine
979         out[ 2] = _mm_packs_epi32(out_02_6, out_02_7);
980         out[18] = _mm_packs_epi32(out_18_6, out_18_7);
981         out[10] = _mm_packs_epi32(out_10_6, out_10_7);
982         out[26] = _mm_packs_epi32(out_26_6, out_26_7);
983         out[ 6] = _mm_packs_epi32(out_06_6, out_06_7);
984         out[22] = _mm_packs_epi32(out_22_6, out_22_7);
985         out[14] = _mm_packs_epi32(out_14_6, out_14_7);
986         out[30] = _mm_packs_epi32(out_30_6, out_30_7);
987       }
988       {
989         step1[16] = _mm_add_epi16(step3[17], step2[16]);
990         step1[17] = _mm_sub_epi16(step2[16], step3[17]);
991         step1[18] = _mm_sub_epi16(step2[19], step3[18]);
992         step1[19] = _mm_add_epi16(step3[18], step2[19]);
993         step1[20] = _mm_add_epi16(step3[21], step2[20]);
994         step1[21] = _mm_sub_epi16(step2[20], step3[21]);
995         step1[22] = _mm_sub_epi16(step2[23], step3[22]);
996         step1[23] = _mm_add_epi16(step3[22], step2[23]);
997         step1[24] = _mm_add_epi16(step3[25], step2[24]);
998         step1[25] = _mm_sub_epi16(step2[24], step3[25]);
999         step1[26] = _mm_sub_epi16(step2[27], step3[26]);
1000         step1[27] = _mm_add_epi16(step3[26], step2[27]);
1001         step1[28] = _mm_add_epi16(step3[29], step2[28]);
1002         step1[29] = _mm_sub_epi16(step2[28], step3[29]);
1003         step1[30] = _mm_sub_epi16(step2[31], step3[30]);
1004         step1[31] = _mm_add_epi16(step3[30], step2[31]);
1005       }
1006       // Final stage --- outputs indices are bit-reversed.
1007       {
1008         const __m128i out_01_0 = _mm_unpacklo_epi16(step1[16], step1[31]);
1009         const __m128i out_01_1 = _mm_unpackhi_epi16(step1[16], step1[31]);
1010         const __m128i out_17_0 = _mm_unpacklo_epi16(step1[17], step1[30]);
1011         const __m128i out_17_1 = _mm_unpackhi_epi16(step1[17], step1[30]);
1012         const __m128i out_09_0 = _mm_unpacklo_epi16(step1[18], step1[29]);
1013         const __m128i out_09_1 = _mm_unpackhi_epi16(step1[18], step1[29]);
1014         const __m128i out_25_0 = _mm_unpacklo_epi16(step1[19], step1[28]);
1015         const __m128i out_25_1 = _mm_unpackhi_epi16(step1[19], step1[28]);
1016         const __m128i out_01_2 = _mm_madd_epi16(out_01_0, k__cospi_p31_p01);
1017         const __m128i out_01_3 = _mm_madd_epi16(out_01_1, k__cospi_p31_p01);
1018         const __m128i out_17_2 = _mm_madd_epi16(out_17_0, k__cospi_p15_p17);
1019         const __m128i out_17_3 = _mm_madd_epi16(out_17_1, k__cospi_p15_p17);
1020         const __m128i out_09_2 = _mm_madd_epi16(out_09_0, k__cospi_p23_p09);
1021         const __m128i out_09_3 = _mm_madd_epi16(out_09_1, k__cospi_p23_p09);
1022         const __m128i out_25_2 = _mm_madd_epi16(out_25_0, k__cospi_p07_p25);
1023         const __m128i out_25_3 = _mm_madd_epi16(out_25_1, k__cospi_p07_p25);
1024         const __m128i out_07_2 = _mm_madd_epi16(out_25_0, k__cospi_m25_p07);
1025         const __m128i out_07_3 = _mm_madd_epi16(out_25_1, k__cospi_m25_p07);
1026         const __m128i out_23_2 = _mm_madd_epi16(out_09_0, k__cospi_m09_p23);
1027         const __m128i out_23_3 = _mm_madd_epi16(out_09_1, k__cospi_m09_p23);
1028         const __m128i out_15_2 = _mm_madd_epi16(out_17_0, k__cospi_m17_p15);
1029         const __m128i out_15_3 = _mm_madd_epi16(out_17_1, k__cospi_m17_p15);
1030         const __m128i out_31_2 = _mm_madd_epi16(out_01_0, k__cospi_m01_p31);
1031         const __m128i out_31_3 = _mm_madd_epi16(out_01_1, k__cospi_m01_p31);
1032         // dct_const_round_shift
1033         const __m128i out_01_4 = _mm_add_epi32(out_01_2, k__DCT_CONST_ROUNDING);
1034         const __m128i out_01_5 = _mm_add_epi32(out_01_3, k__DCT_CONST_ROUNDING);
1035         const __m128i out_17_4 = _mm_add_epi32(out_17_2, k__DCT_CONST_ROUNDING);
1036         const __m128i out_17_5 = _mm_add_epi32(out_17_3, k__DCT_CONST_ROUNDING);
1037         const __m128i out_09_4 = _mm_add_epi32(out_09_2, k__DCT_CONST_ROUNDING);
1038         const __m128i out_09_5 = _mm_add_epi32(out_09_3, k__DCT_CONST_ROUNDING);
1039         const __m128i out_25_4 = _mm_add_epi32(out_25_2, k__DCT_CONST_ROUNDING);
1040         const __m128i out_25_5 = _mm_add_epi32(out_25_3, k__DCT_CONST_ROUNDING);
1041         const __m128i out_07_4 = _mm_add_epi32(out_07_2, k__DCT_CONST_ROUNDING);
1042         const __m128i out_07_5 = _mm_add_epi32(out_07_3, k__DCT_CONST_ROUNDING);
1043         const __m128i out_23_4 = _mm_add_epi32(out_23_2, k__DCT_CONST_ROUNDING);
1044         const __m128i out_23_5 = _mm_add_epi32(out_23_3, k__DCT_CONST_ROUNDING);
1045         const __m128i out_15_4 = _mm_add_epi32(out_15_2, k__DCT_CONST_ROUNDING);
1046         const __m128i out_15_5 = _mm_add_epi32(out_15_3, k__DCT_CONST_ROUNDING);
1047         const __m128i out_31_4 = _mm_add_epi32(out_31_2, k__DCT_CONST_ROUNDING);
1048         const __m128i out_31_5 = _mm_add_epi32(out_31_3, k__DCT_CONST_ROUNDING);
1049         const __m128i out_01_6 = _mm_srai_epi32(out_01_4, DCT_CONST_BITS);
1050         const __m128i out_01_7 = _mm_srai_epi32(out_01_5, DCT_CONST_BITS);
1051         const __m128i out_17_6 = _mm_srai_epi32(out_17_4, DCT_CONST_BITS);
1052         const __m128i out_17_7 = _mm_srai_epi32(out_17_5, DCT_CONST_BITS);
1053         const __m128i out_09_6 = _mm_srai_epi32(out_09_4, DCT_CONST_BITS);
1054         const __m128i out_09_7 = _mm_srai_epi32(out_09_5, DCT_CONST_BITS);
1055         const __m128i out_25_6 = _mm_srai_epi32(out_25_4, DCT_CONST_BITS);
1056         const __m128i out_25_7 = _mm_srai_epi32(out_25_5, DCT_CONST_BITS);
1057         const __m128i out_07_6 = _mm_srai_epi32(out_07_4, DCT_CONST_BITS);
1058         const __m128i out_07_7 = _mm_srai_epi32(out_07_5, DCT_CONST_BITS);
1059         const __m128i out_23_6 = _mm_srai_epi32(out_23_4, DCT_CONST_BITS);
1060         const __m128i out_23_7 = _mm_srai_epi32(out_23_5, DCT_CONST_BITS);
1061         const __m128i out_15_6 = _mm_srai_epi32(out_15_4, DCT_CONST_BITS);
1062         const __m128i out_15_7 = _mm_srai_epi32(out_15_5, DCT_CONST_BITS);
1063         const __m128i out_31_6 = _mm_srai_epi32(out_31_4, DCT_CONST_BITS);
1064         const __m128i out_31_7 = _mm_srai_epi32(out_31_5, DCT_CONST_BITS);
1065         // Combine
1066         out[ 1] = _mm_packs_epi32(out_01_6, out_01_7);
1067         out[17] = _mm_packs_epi32(out_17_6, out_17_7);
1068         out[ 9] = _mm_packs_epi32(out_09_6, out_09_7);
1069         out[25] = _mm_packs_epi32(out_25_6, out_25_7);
1070         out[ 7] = _mm_packs_epi32(out_07_6, out_07_7);
1071         out[23] = _mm_packs_epi32(out_23_6, out_23_7);
1072         out[15] = _mm_packs_epi32(out_15_6, out_15_7);
1073         out[31] = _mm_packs_epi32(out_31_6, out_31_7);
1074       }
1075       {
1076         const __m128i out_05_0 = _mm_unpacklo_epi16(step1[20], step1[27]);
1077         const __m128i out_05_1 = _mm_unpackhi_epi16(step1[20], step1[27]);
1078         const __m128i out_21_0 = _mm_unpacklo_epi16(step1[21], step1[26]);
1079         const __m128i out_21_1 = _mm_unpackhi_epi16(step1[21], step1[26]);
1080         const __m128i out_13_0 = _mm_unpacklo_epi16(step1[22], step1[25]);
1081         const __m128i out_13_1 = _mm_unpackhi_epi16(step1[22], step1[25]);
1082         const __m128i out_29_0 = _mm_unpacklo_epi16(step1[23], step1[24]);
1083         const __m128i out_29_1 = _mm_unpackhi_epi16(step1[23], step1[24]);
1084         const __m128i out_05_2 = _mm_madd_epi16(out_05_0, k__cospi_p27_p05);
1085         const __m128i out_05_3 = _mm_madd_epi16(out_05_1, k__cospi_p27_p05);
1086         const __m128i out_21_2 = _mm_madd_epi16(out_21_0, k__cospi_p11_p21);
1087         const __m128i out_21_3 = _mm_madd_epi16(out_21_1, k__cospi_p11_p21);
1088         const __m128i out_13_2 = _mm_madd_epi16(out_13_0, k__cospi_p19_p13);
1089         const __m128i out_13_3 = _mm_madd_epi16(out_13_1, k__cospi_p19_p13);
1090         const __m128i out_29_2 = _mm_madd_epi16(out_29_0, k__cospi_p03_p29);
1091         const __m128i out_29_3 = _mm_madd_epi16(out_29_1, k__cospi_p03_p29);
1092         const __m128i out_03_2 = _mm_madd_epi16(out_29_0, k__cospi_m29_p03);
1093         const __m128i out_03_3 = _mm_madd_epi16(out_29_1, k__cospi_m29_p03);
1094         const __m128i out_19_2 = _mm_madd_epi16(out_13_0, k__cospi_m13_p19);
1095         const __m128i out_19_3 = _mm_madd_epi16(out_13_1, k__cospi_m13_p19);
1096         const __m128i out_11_2 = _mm_madd_epi16(out_21_0, k__cospi_m21_p11);
1097         const __m128i out_11_3 = _mm_madd_epi16(out_21_1, k__cospi_m21_p11);
1098         const __m128i out_27_2 = _mm_madd_epi16(out_05_0, k__cospi_m05_p27);
1099         const __m128i out_27_3 = _mm_madd_epi16(out_05_1, k__cospi_m05_p27);
1100         // dct_const_round_shift
1101         const __m128i out_05_4 = _mm_add_epi32(out_05_2, k__DCT_CONST_ROUNDING);
1102         const __m128i out_05_5 = _mm_add_epi32(out_05_3, k__DCT_CONST_ROUNDING);
1103         const __m128i out_21_4 = _mm_add_epi32(out_21_2, k__DCT_CONST_ROUNDING);
1104         const __m128i out_21_5 = _mm_add_epi32(out_21_3, k__DCT_CONST_ROUNDING);
1105         const __m128i out_13_4 = _mm_add_epi32(out_13_2, k__DCT_CONST_ROUNDING);
1106         const __m128i out_13_5 = _mm_add_epi32(out_13_3, k__DCT_CONST_ROUNDING);
1107         const __m128i out_29_4 = _mm_add_epi32(out_29_2, k__DCT_CONST_ROUNDING);
1108         const __m128i out_29_5 = _mm_add_epi32(out_29_3, k__DCT_CONST_ROUNDING);
1109         const __m128i out_03_4 = _mm_add_epi32(out_03_2, k__DCT_CONST_ROUNDING);
1110         const __m128i out_03_5 = _mm_add_epi32(out_03_3, k__DCT_CONST_ROUNDING);
1111         const __m128i out_19_4 = _mm_add_epi32(out_19_2, k__DCT_CONST_ROUNDING);
1112         const __m128i out_19_5 = _mm_add_epi32(out_19_3, k__DCT_CONST_ROUNDING);
1113         const __m128i out_11_4 = _mm_add_epi32(out_11_2, k__DCT_CONST_ROUNDING);
1114         const __m128i out_11_5 = _mm_add_epi32(out_11_3, k__DCT_CONST_ROUNDING);
1115         const __m128i out_27_4 = _mm_add_epi32(out_27_2, k__DCT_CONST_ROUNDING);
1116         const __m128i out_27_5 = _mm_add_epi32(out_27_3, k__DCT_CONST_ROUNDING);
1117         const __m128i out_05_6 = _mm_srai_epi32(out_05_4, DCT_CONST_BITS);
1118         const __m128i out_05_7 = _mm_srai_epi32(out_05_5, DCT_CONST_BITS);
1119         const __m128i out_21_6 = _mm_srai_epi32(out_21_4, DCT_CONST_BITS);
1120         const __m128i out_21_7 = _mm_srai_epi32(out_21_5, DCT_CONST_BITS);
1121         const __m128i out_13_6 = _mm_srai_epi32(out_13_4, DCT_CONST_BITS);
1122         const __m128i out_13_7 = _mm_srai_epi32(out_13_5, DCT_CONST_BITS);
1123         const __m128i out_29_6 = _mm_srai_epi32(out_29_4, DCT_CONST_BITS);
1124         const __m128i out_29_7 = _mm_srai_epi32(out_29_5, DCT_CONST_BITS);
1125         const __m128i out_03_6 = _mm_srai_epi32(out_03_4, DCT_CONST_BITS);
1126         const __m128i out_03_7 = _mm_srai_epi32(out_03_5, DCT_CONST_BITS);
1127         const __m128i out_19_6 = _mm_srai_epi32(out_19_4, DCT_CONST_BITS);
1128         const __m128i out_19_7 = _mm_srai_epi32(out_19_5, DCT_CONST_BITS);
1129         const __m128i out_11_6 = _mm_srai_epi32(out_11_4, DCT_CONST_BITS);
1130         const __m128i out_11_7 = _mm_srai_epi32(out_11_5, DCT_CONST_BITS);
1131         const __m128i out_27_6 = _mm_srai_epi32(out_27_4, DCT_CONST_BITS);
1132         const __m128i out_27_7 = _mm_srai_epi32(out_27_5, DCT_CONST_BITS);
1133         // Combine
1134         out[ 5] = _mm_packs_epi32(out_05_6, out_05_7);
1135         out[21] = _mm_packs_epi32(out_21_6, out_21_7);
1136         out[13] = _mm_packs_epi32(out_13_6, out_13_7);
1137         out[29] = _mm_packs_epi32(out_29_6, out_29_7);
1138         out[ 3] = _mm_packs_epi32(out_03_6, out_03_7);
1139         out[19] = _mm_packs_epi32(out_19_6, out_19_7);
1140         out[11] = _mm_packs_epi32(out_11_6, out_11_7);
1141         out[27] = _mm_packs_epi32(out_27_6, out_27_7);
1142       }
1143 #if FDCT32x32_HIGH_PRECISION
1144       } else {
1145         __m128i lstep1[64], lstep2[64], lstep3[64];
1146         __m128i u[32], v[32], sign[16];
1147         const __m128i K32One = _mm_set_epi32(1, 1, 1, 1);
1148         // start using 32-bit operations
1149         // stage 3
1150         {
1151           // expanding to 32-bit length priori to addition operations
1152           lstep2[ 0] = _mm_unpacklo_epi16(step2[ 0], kZero);
1153           lstep2[ 1] = _mm_unpackhi_epi16(step2[ 0], kZero);
1154           lstep2[ 2] = _mm_unpacklo_epi16(step2[ 1], kZero);
1155           lstep2[ 3] = _mm_unpackhi_epi16(step2[ 1], kZero);
1156           lstep2[ 4] = _mm_unpacklo_epi16(step2[ 2], kZero);
1157           lstep2[ 5] = _mm_unpackhi_epi16(step2[ 2], kZero);
1158           lstep2[ 6] = _mm_unpacklo_epi16(step2[ 3], kZero);
1159           lstep2[ 7] = _mm_unpackhi_epi16(step2[ 3], kZero);
1160           lstep2[ 8] = _mm_unpacklo_epi16(step2[ 4], kZero);
1161           lstep2[ 9] = _mm_unpackhi_epi16(step2[ 4], kZero);
1162           lstep2[10] = _mm_unpacklo_epi16(step2[ 5], kZero);
1163           lstep2[11] = _mm_unpackhi_epi16(step2[ 5], kZero);
1164           lstep2[12] = _mm_unpacklo_epi16(step2[ 6], kZero);
1165           lstep2[13] = _mm_unpackhi_epi16(step2[ 6], kZero);
1166           lstep2[14] = _mm_unpacklo_epi16(step2[ 7], kZero);
1167           lstep2[15] = _mm_unpackhi_epi16(step2[ 7], kZero);
1168           lstep2[ 0] = _mm_madd_epi16(lstep2[ 0], kOne);
1169           lstep2[ 1] = _mm_madd_epi16(lstep2[ 1], kOne);
1170           lstep2[ 2] = _mm_madd_epi16(lstep2[ 2], kOne);
1171           lstep2[ 3] = _mm_madd_epi16(lstep2[ 3], kOne);
1172           lstep2[ 4] = _mm_madd_epi16(lstep2[ 4], kOne);
1173           lstep2[ 5] = _mm_madd_epi16(lstep2[ 5], kOne);
1174           lstep2[ 6] = _mm_madd_epi16(lstep2[ 6], kOne);
1175           lstep2[ 7] = _mm_madd_epi16(lstep2[ 7], kOne);
1176           lstep2[ 8] = _mm_madd_epi16(lstep2[ 8], kOne);
1177           lstep2[ 9] = _mm_madd_epi16(lstep2[ 9], kOne);
1178           lstep2[10] = _mm_madd_epi16(lstep2[10], kOne);
1179           lstep2[11] = _mm_madd_epi16(lstep2[11], kOne);
1180           lstep2[12] = _mm_madd_epi16(lstep2[12], kOne);
1181           lstep2[13] = _mm_madd_epi16(lstep2[13], kOne);
1182           lstep2[14] = _mm_madd_epi16(lstep2[14], kOne);
1183           lstep2[15] = _mm_madd_epi16(lstep2[15], kOne);
1184 
1185           lstep3[ 0] = _mm_add_epi32(lstep2[14], lstep2[ 0]);
1186           lstep3[ 1] = _mm_add_epi32(lstep2[15], lstep2[ 1]);
1187           lstep3[ 2] = _mm_add_epi32(lstep2[12], lstep2[ 2]);
1188           lstep3[ 3] = _mm_add_epi32(lstep2[13], lstep2[ 3]);
1189           lstep3[ 4] = _mm_add_epi32(lstep2[10], lstep2[ 4]);
1190           lstep3[ 5] = _mm_add_epi32(lstep2[11], lstep2[ 5]);
1191           lstep3[ 6] = _mm_add_epi32(lstep2[ 8], lstep2[ 6]);
1192           lstep3[ 7] = _mm_add_epi32(lstep2[ 9], lstep2[ 7]);
1193           lstep3[ 8] = _mm_sub_epi32(lstep2[ 6], lstep2[ 8]);
1194           lstep3[ 9] = _mm_sub_epi32(lstep2[ 7], lstep2[ 9]);
1195           lstep3[10] = _mm_sub_epi32(lstep2[ 4], lstep2[10]);
1196           lstep3[11] = _mm_sub_epi32(lstep2[ 5], lstep2[11]);
1197           lstep3[12] = _mm_sub_epi32(lstep2[ 2], lstep2[12]);
1198           lstep3[13] = _mm_sub_epi32(lstep2[ 3], lstep2[13]);
1199           lstep3[14] = _mm_sub_epi32(lstep2[ 0], lstep2[14]);
1200           lstep3[15] = _mm_sub_epi32(lstep2[ 1], lstep2[15]);
1201         }
1202         {
1203           const __m128i s3_10_0 = _mm_unpacklo_epi16(step2[13], step2[10]);
1204           const __m128i s3_10_1 = _mm_unpackhi_epi16(step2[13], step2[10]);
1205           const __m128i s3_11_0 = _mm_unpacklo_epi16(step2[12], step2[11]);
1206           const __m128i s3_11_1 = _mm_unpackhi_epi16(step2[12], step2[11]);
1207           const __m128i s3_10_2 = _mm_madd_epi16(s3_10_0, k__cospi_p16_m16);
1208           const __m128i s3_10_3 = _mm_madd_epi16(s3_10_1, k__cospi_p16_m16);
1209           const __m128i s3_11_2 = _mm_madd_epi16(s3_11_0, k__cospi_p16_m16);
1210           const __m128i s3_11_3 = _mm_madd_epi16(s3_11_1, k__cospi_p16_m16);
1211           const __m128i s3_12_2 = _mm_madd_epi16(s3_11_0, k__cospi_p16_p16);
1212           const __m128i s3_12_3 = _mm_madd_epi16(s3_11_1, k__cospi_p16_p16);
1213           const __m128i s3_13_2 = _mm_madd_epi16(s3_10_0, k__cospi_p16_p16);
1214           const __m128i s3_13_3 = _mm_madd_epi16(s3_10_1, k__cospi_p16_p16);
1215           // dct_const_round_shift
1216           const __m128i s3_10_4 = _mm_add_epi32(s3_10_2, k__DCT_CONST_ROUNDING);
1217           const __m128i s3_10_5 = _mm_add_epi32(s3_10_3, k__DCT_CONST_ROUNDING);
1218           const __m128i s3_11_4 = _mm_add_epi32(s3_11_2, k__DCT_CONST_ROUNDING);
1219           const __m128i s3_11_5 = _mm_add_epi32(s3_11_3, k__DCT_CONST_ROUNDING);
1220           const __m128i s3_12_4 = _mm_add_epi32(s3_12_2, k__DCT_CONST_ROUNDING);
1221           const __m128i s3_12_5 = _mm_add_epi32(s3_12_3, k__DCT_CONST_ROUNDING);
1222           const __m128i s3_13_4 = _mm_add_epi32(s3_13_2, k__DCT_CONST_ROUNDING);
1223           const __m128i s3_13_5 = _mm_add_epi32(s3_13_3, k__DCT_CONST_ROUNDING);
1224           lstep3[20] = _mm_srai_epi32(s3_10_4, DCT_CONST_BITS);
1225           lstep3[21] = _mm_srai_epi32(s3_10_5, DCT_CONST_BITS);
1226           lstep3[22] = _mm_srai_epi32(s3_11_4, DCT_CONST_BITS);
1227           lstep3[23] = _mm_srai_epi32(s3_11_5, DCT_CONST_BITS);
1228           lstep3[24] = _mm_srai_epi32(s3_12_4, DCT_CONST_BITS);
1229           lstep3[25] = _mm_srai_epi32(s3_12_5, DCT_CONST_BITS);
1230           lstep3[26] = _mm_srai_epi32(s3_13_4, DCT_CONST_BITS);
1231           lstep3[27] = _mm_srai_epi32(s3_13_5, DCT_CONST_BITS);
1232         }
1233         {
1234           lstep2[40] = _mm_unpacklo_epi16(step2[20], kZero);
1235           lstep2[41] = _mm_unpackhi_epi16(step2[20], kZero);
1236           lstep2[42] = _mm_unpacklo_epi16(step2[21], kZero);
1237           lstep2[43] = _mm_unpackhi_epi16(step2[21], kZero);
1238           lstep2[44] = _mm_unpacklo_epi16(step2[22], kZero);
1239           lstep2[45] = _mm_unpackhi_epi16(step2[22], kZero);
1240           lstep2[46] = _mm_unpacklo_epi16(step2[23], kZero);
1241           lstep2[47] = _mm_unpackhi_epi16(step2[23], kZero);
1242           lstep2[48] = _mm_unpacklo_epi16(step2[24], kZero);
1243           lstep2[49] = _mm_unpackhi_epi16(step2[24], kZero);
1244           lstep2[50] = _mm_unpacklo_epi16(step2[25], kZero);
1245           lstep2[51] = _mm_unpackhi_epi16(step2[25], kZero);
1246           lstep2[52] = _mm_unpacklo_epi16(step2[26], kZero);
1247           lstep2[53] = _mm_unpackhi_epi16(step2[26], kZero);
1248           lstep2[54] = _mm_unpacklo_epi16(step2[27], kZero);
1249           lstep2[55] = _mm_unpackhi_epi16(step2[27], kZero);
1250           lstep2[40] = _mm_madd_epi16(lstep2[40], kOne);
1251           lstep2[41] = _mm_madd_epi16(lstep2[41], kOne);
1252           lstep2[42] = _mm_madd_epi16(lstep2[42], kOne);
1253           lstep2[43] = _mm_madd_epi16(lstep2[43], kOne);
1254           lstep2[44] = _mm_madd_epi16(lstep2[44], kOne);
1255           lstep2[45] = _mm_madd_epi16(lstep2[45], kOne);
1256           lstep2[46] = _mm_madd_epi16(lstep2[46], kOne);
1257           lstep2[47] = _mm_madd_epi16(lstep2[47], kOne);
1258           lstep2[48] = _mm_madd_epi16(lstep2[48], kOne);
1259           lstep2[49] = _mm_madd_epi16(lstep2[49], kOne);
1260           lstep2[50] = _mm_madd_epi16(lstep2[50], kOne);
1261           lstep2[51] = _mm_madd_epi16(lstep2[51], kOne);
1262           lstep2[52] = _mm_madd_epi16(lstep2[52], kOne);
1263           lstep2[53] = _mm_madd_epi16(lstep2[53], kOne);
1264           lstep2[54] = _mm_madd_epi16(lstep2[54], kOne);
1265           lstep2[55] = _mm_madd_epi16(lstep2[55], kOne);
1266 
1267           lstep1[32] = _mm_unpacklo_epi16(step1[16], kZero);
1268           lstep1[33] = _mm_unpackhi_epi16(step1[16], kZero);
1269           lstep1[34] = _mm_unpacklo_epi16(step1[17], kZero);
1270           lstep1[35] = _mm_unpackhi_epi16(step1[17], kZero);
1271           lstep1[36] = _mm_unpacklo_epi16(step1[18], kZero);
1272           lstep1[37] = _mm_unpackhi_epi16(step1[18], kZero);
1273           lstep1[38] = _mm_unpacklo_epi16(step1[19], kZero);
1274           lstep1[39] = _mm_unpackhi_epi16(step1[19], kZero);
1275           lstep1[56] = _mm_unpacklo_epi16(step1[28], kZero);
1276           lstep1[57] = _mm_unpackhi_epi16(step1[28], kZero);
1277           lstep1[58] = _mm_unpacklo_epi16(step1[29], kZero);
1278           lstep1[59] = _mm_unpackhi_epi16(step1[29], kZero);
1279           lstep1[60] = _mm_unpacklo_epi16(step1[30], kZero);
1280           lstep1[61] = _mm_unpackhi_epi16(step1[30], kZero);
1281           lstep1[62] = _mm_unpacklo_epi16(step1[31], kZero);
1282           lstep1[63] = _mm_unpackhi_epi16(step1[31], kZero);
1283           lstep1[32] = _mm_madd_epi16(lstep1[32], kOne);
1284           lstep1[33] = _mm_madd_epi16(lstep1[33], kOne);
1285           lstep1[34] = _mm_madd_epi16(lstep1[34], kOne);
1286           lstep1[35] = _mm_madd_epi16(lstep1[35], kOne);
1287           lstep1[36] = _mm_madd_epi16(lstep1[36], kOne);
1288           lstep1[37] = _mm_madd_epi16(lstep1[37], kOne);
1289           lstep1[38] = _mm_madd_epi16(lstep1[38], kOne);
1290           lstep1[39] = _mm_madd_epi16(lstep1[39], kOne);
1291           lstep1[56] = _mm_madd_epi16(lstep1[56], kOne);
1292           lstep1[57] = _mm_madd_epi16(lstep1[57], kOne);
1293           lstep1[58] = _mm_madd_epi16(lstep1[58], kOne);
1294           lstep1[59] = _mm_madd_epi16(lstep1[59], kOne);
1295           lstep1[60] = _mm_madd_epi16(lstep1[60], kOne);
1296           lstep1[61] = _mm_madd_epi16(lstep1[61], kOne);
1297           lstep1[62] = _mm_madd_epi16(lstep1[62], kOne);
1298           lstep1[63] = _mm_madd_epi16(lstep1[63], kOne);
1299 
1300           lstep3[32] = _mm_add_epi32(lstep2[46], lstep1[32]);
1301           lstep3[33] = _mm_add_epi32(lstep2[47], lstep1[33]);
1302 
1303           lstep3[34] = _mm_add_epi32(lstep2[44], lstep1[34]);
1304           lstep3[35] = _mm_add_epi32(lstep2[45], lstep1[35]);
1305           lstep3[36] = _mm_add_epi32(lstep2[42], lstep1[36]);
1306           lstep3[37] = _mm_add_epi32(lstep2[43], lstep1[37]);
1307           lstep3[38] = _mm_add_epi32(lstep2[40], lstep1[38]);
1308           lstep3[39] = _mm_add_epi32(lstep2[41], lstep1[39]);
1309           lstep3[40] = _mm_sub_epi32(lstep1[38], lstep2[40]);
1310           lstep3[41] = _mm_sub_epi32(lstep1[39], lstep2[41]);
1311           lstep3[42] = _mm_sub_epi32(lstep1[36], lstep2[42]);
1312           lstep3[43] = _mm_sub_epi32(lstep1[37], lstep2[43]);
1313           lstep3[44] = _mm_sub_epi32(lstep1[34], lstep2[44]);
1314           lstep3[45] = _mm_sub_epi32(lstep1[35], lstep2[45]);
1315           lstep3[46] = _mm_sub_epi32(lstep1[32], lstep2[46]);
1316           lstep3[47] = _mm_sub_epi32(lstep1[33], lstep2[47]);
1317           lstep3[48] = _mm_sub_epi32(lstep1[62], lstep2[48]);
1318           lstep3[49] = _mm_sub_epi32(lstep1[63], lstep2[49]);
1319           lstep3[50] = _mm_sub_epi32(lstep1[60], lstep2[50]);
1320           lstep3[51] = _mm_sub_epi32(lstep1[61], lstep2[51]);
1321           lstep3[52] = _mm_sub_epi32(lstep1[58], lstep2[52]);
1322           lstep3[53] = _mm_sub_epi32(lstep1[59], lstep2[53]);
1323           lstep3[54] = _mm_sub_epi32(lstep1[56], lstep2[54]);
1324           lstep3[55] = _mm_sub_epi32(lstep1[57], lstep2[55]);
1325           lstep3[56] = _mm_add_epi32(lstep2[54], lstep1[56]);
1326           lstep3[57] = _mm_add_epi32(lstep2[55], lstep1[57]);
1327           lstep3[58] = _mm_add_epi32(lstep2[52], lstep1[58]);
1328           lstep3[59] = _mm_add_epi32(lstep2[53], lstep1[59]);
1329           lstep3[60] = _mm_add_epi32(lstep2[50], lstep1[60]);
1330           lstep3[61] = _mm_add_epi32(lstep2[51], lstep1[61]);
1331           lstep3[62] = _mm_add_epi32(lstep2[48], lstep1[62]);
1332           lstep3[63] = _mm_add_epi32(lstep2[49], lstep1[63]);
1333         }
1334 
1335         // stage 4
1336         {
1337           // expanding to 32-bit length priori to addition operations
1338           lstep2[16] = _mm_unpacklo_epi16(step2[ 8], kZero);
1339           lstep2[17] = _mm_unpackhi_epi16(step2[ 8], kZero);
1340           lstep2[18] = _mm_unpacklo_epi16(step2[ 9], kZero);
1341           lstep2[19] = _mm_unpackhi_epi16(step2[ 9], kZero);
1342           lstep2[28] = _mm_unpacklo_epi16(step2[14], kZero);
1343           lstep2[29] = _mm_unpackhi_epi16(step2[14], kZero);
1344           lstep2[30] = _mm_unpacklo_epi16(step2[15], kZero);
1345           lstep2[31] = _mm_unpackhi_epi16(step2[15], kZero);
1346           lstep2[16] = _mm_madd_epi16(lstep2[16], kOne);
1347           lstep2[17] = _mm_madd_epi16(lstep2[17], kOne);
1348           lstep2[18] = _mm_madd_epi16(lstep2[18], kOne);
1349           lstep2[19] = _mm_madd_epi16(lstep2[19], kOne);
1350           lstep2[28] = _mm_madd_epi16(lstep2[28], kOne);
1351           lstep2[29] = _mm_madd_epi16(lstep2[29], kOne);
1352           lstep2[30] = _mm_madd_epi16(lstep2[30], kOne);
1353           lstep2[31] = _mm_madd_epi16(lstep2[31], kOne);
1354 
1355           lstep1[ 0] = _mm_add_epi32(lstep3[ 6], lstep3[ 0]);
1356           lstep1[ 1] = _mm_add_epi32(lstep3[ 7], lstep3[ 1]);
1357           lstep1[ 2] = _mm_add_epi32(lstep3[ 4], lstep3[ 2]);
1358           lstep1[ 3] = _mm_add_epi32(lstep3[ 5], lstep3[ 3]);
1359           lstep1[ 4] = _mm_sub_epi32(lstep3[ 2], lstep3[ 4]);
1360           lstep1[ 5] = _mm_sub_epi32(lstep3[ 3], lstep3[ 5]);
1361           lstep1[ 6] = _mm_sub_epi32(lstep3[ 0], lstep3[ 6]);
1362           lstep1[ 7] = _mm_sub_epi32(lstep3[ 1], lstep3[ 7]);
1363           lstep1[16] = _mm_add_epi32(lstep3[22], lstep2[16]);
1364           lstep1[17] = _mm_add_epi32(lstep3[23], lstep2[17]);
1365           lstep1[18] = _mm_add_epi32(lstep3[20], lstep2[18]);
1366           lstep1[19] = _mm_add_epi32(lstep3[21], lstep2[19]);
1367           lstep1[20] = _mm_sub_epi32(lstep2[18], lstep3[20]);
1368           lstep1[21] = _mm_sub_epi32(lstep2[19], lstep3[21]);
1369           lstep1[22] = _mm_sub_epi32(lstep2[16], lstep3[22]);
1370           lstep1[23] = _mm_sub_epi32(lstep2[17], lstep3[23]);
1371           lstep1[24] = _mm_sub_epi32(lstep2[30], lstep3[24]);
1372           lstep1[25] = _mm_sub_epi32(lstep2[31], lstep3[25]);
1373           lstep1[26] = _mm_sub_epi32(lstep2[28], lstep3[26]);
1374           lstep1[27] = _mm_sub_epi32(lstep2[29], lstep3[27]);
1375           lstep1[28] = _mm_add_epi32(lstep3[26], lstep2[28]);
1376           lstep1[29] = _mm_add_epi32(lstep3[27], lstep2[29]);
1377           lstep1[30] = _mm_add_epi32(lstep3[24], lstep2[30]);
1378           lstep1[31] = _mm_add_epi32(lstep3[25], lstep2[31]);
1379         }
1380         {
1381         // to be continued...
1382         //
1383         const __m128i k32_p16_p16 = pair_set_epi32(cospi_16_64, cospi_16_64);
1384         const __m128i k32_p16_m16 = pair_set_epi32(cospi_16_64, -cospi_16_64);
1385 
1386         u[0] = _mm_unpacklo_epi32(lstep3[12], lstep3[10]);
1387         u[1] = _mm_unpackhi_epi32(lstep3[12], lstep3[10]);
1388         u[2] = _mm_unpacklo_epi32(lstep3[13], lstep3[11]);
1389         u[3] = _mm_unpackhi_epi32(lstep3[13], lstep3[11]);
1390 
1391         // TODO(jingning): manually inline k_madd_epi32_ to further hide
1392         // instruction latency.
1393         v[ 0] = k_madd_epi32(u[0], k32_p16_m16);
1394         v[ 1] = k_madd_epi32(u[1], k32_p16_m16);
1395         v[ 2] = k_madd_epi32(u[2], k32_p16_m16);
1396         v[ 3] = k_madd_epi32(u[3], k32_p16_m16);
1397         v[ 4] = k_madd_epi32(u[0], k32_p16_p16);
1398         v[ 5] = k_madd_epi32(u[1], k32_p16_p16);
1399         v[ 6] = k_madd_epi32(u[2], k32_p16_p16);
1400         v[ 7] = k_madd_epi32(u[3], k32_p16_p16);
1401 
1402         u[0] = k_packs_epi64(v[0], v[1]);
1403         u[1] = k_packs_epi64(v[2], v[3]);
1404         u[2] = k_packs_epi64(v[4], v[5]);
1405         u[3] = k_packs_epi64(v[6], v[7]);
1406 
1407         v[0] = _mm_add_epi32(u[0], k__DCT_CONST_ROUNDING);
1408         v[1] = _mm_add_epi32(u[1], k__DCT_CONST_ROUNDING);
1409         v[2] = _mm_add_epi32(u[2], k__DCT_CONST_ROUNDING);
1410         v[3] = _mm_add_epi32(u[3], k__DCT_CONST_ROUNDING);
1411 
1412         lstep1[10] = _mm_srai_epi32(v[0], DCT_CONST_BITS);
1413         lstep1[11] = _mm_srai_epi32(v[1], DCT_CONST_BITS);
1414         lstep1[12] = _mm_srai_epi32(v[2], DCT_CONST_BITS);
1415         lstep1[13] = _mm_srai_epi32(v[3], DCT_CONST_BITS);
1416         }
1417         {
1418           const __m128i k32_m08_p24 = pair_set_epi32(-cospi_8_64, cospi_24_64);
1419           const __m128i k32_m24_m08 = pair_set_epi32(-cospi_24_64, -cospi_8_64);
1420           const __m128i k32_p24_p08 = pair_set_epi32(cospi_24_64, cospi_8_64);
1421 
1422           u[ 0] = _mm_unpacklo_epi32(lstep3[36], lstep3[58]);
1423           u[ 1] = _mm_unpackhi_epi32(lstep3[36], lstep3[58]);
1424           u[ 2] = _mm_unpacklo_epi32(lstep3[37], lstep3[59]);
1425           u[ 3] = _mm_unpackhi_epi32(lstep3[37], lstep3[59]);
1426           u[ 4] = _mm_unpacklo_epi32(lstep3[38], lstep3[56]);
1427           u[ 5] = _mm_unpackhi_epi32(lstep3[38], lstep3[56]);
1428           u[ 6] = _mm_unpacklo_epi32(lstep3[39], lstep3[57]);
1429           u[ 7] = _mm_unpackhi_epi32(lstep3[39], lstep3[57]);
1430           u[ 8] = _mm_unpacklo_epi32(lstep3[40], lstep3[54]);
1431           u[ 9] = _mm_unpackhi_epi32(lstep3[40], lstep3[54]);
1432           u[10] = _mm_unpacklo_epi32(lstep3[41], lstep3[55]);
1433           u[11] = _mm_unpackhi_epi32(lstep3[41], lstep3[55]);
1434           u[12] = _mm_unpacklo_epi32(lstep3[42], lstep3[52]);
1435           u[13] = _mm_unpackhi_epi32(lstep3[42], lstep3[52]);
1436           u[14] = _mm_unpacklo_epi32(lstep3[43], lstep3[53]);
1437           u[15] = _mm_unpackhi_epi32(lstep3[43], lstep3[53]);
1438 
1439           v[ 0] = k_madd_epi32(u[ 0], k32_m08_p24);
1440           v[ 1] = k_madd_epi32(u[ 1], k32_m08_p24);
1441           v[ 2] = k_madd_epi32(u[ 2], k32_m08_p24);
1442           v[ 3] = k_madd_epi32(u[ 3], k32_m08_p24);
1443           v[ 4] = k_madd_epi32(u[ 4], k32_m08_p24);
1444           v[ 5] = k_madd_epi32(u[ 5], k32_m08_p24);
1445           v[ 6] = k_madd_epi32(u[ 6], k32_m08_p24);
1446           v[ 7] = k_madd_epi32(u[ 7], k32_m08_p24);
1447           v[ 8] = k_madd_epi32(u[ 8], k32_m24_m08);
1448           v[ 9] = k_madd_epi32(u[ 9], k32_m24_m08);
1449           v[10] = k_madd_epi32(u[10], k32_m24_m08);
1450           v[11] = k_madd_epi32(u[11], k32_m24_m08);
1451           v[12] = k_madd_epi32(u[12], k32_m24_m08);
1452           v[13] = k_madd_epi32(u[13], k32_m24_m08);
1453           v[14] = k_madd_epi32(u[14], k32_m24_m08);
1454           v[15] = k_madd_epi32(u[15], k32_m24_m08);
1455           v[16] = k_madd_epi32(u[12], k32_m08_p24);
1456           v[17] = k_madd_epi32(u[13], k32_m08_p24);
1457           v[18] = k_madd_epi32(u[14], k32_m08_p24);
1458           v[19] = k_madd_epi32(u[15], k32_m08_p24);
1459           v[20] = k_madd_epi32(u[ 8], k32_m08_p24);
1460           v[21] = k_madd_epi32(u[ 9], k32_m08_p24);
1461           v[22] = k_madd_epi32(u[10], k32_m08_p24);
1462           v[23] = k_madd_epi32(u[11], k32_m08_p24);
1463           v[24] = k_madd_epi32(u[ 4], k32_p24_p08);
1464           v[25] = k_madd_epi32(u[ 5], k32_p24_p08);
1465           v[26] = k_madd_epi32(u[ 6], k32_p24_p08);
1466           v[27] = k_madd_epi32(u[ 7], k32_p24_p08);
1467           v[28] = k_madd_epi32(u[ 0], k32_p24_p08);
1468           v[29] = k_madd_epi32(u[ 1], k32_p24_p08);
1469           v[30] = k_madd_epi32(u[ 2], k32_p24_p08);
1470           v[31] = k_madd_epi32(u[ 3], k32_p24_p08);
1471 
1472           u[ 0] = k_packs_epi64(v[ 0], v[ 1]);
1473           u[ 1] = k_packs_epi64(v[ 2], v[ 3]);
1474           u[ 2] = k_packs_epi64(v[ 4], v[ 5]);
1475           u[ 3] = k_packs_epi64(v[ 6], v[ 7]);
1476           u[ 4] = k_packs_epi64(v[ 8], v[ 9]);
1477           u[ 5] = k_packs_epi64(v[10], v[11]);
1478           u[ 6] = k_packs_epi64(v[12], v[13]);
1479           u[ 7] = k_packs_epi64(v[14], v[15]);
1480           u[ 8] = k_packs_epi64(v[16], v[17]);
1481           u[ 9] = k_packs_epi64(v[18], v[19]);
1482           u[10] = k_packs_epi64(v[20], v[21]);
1483           u[11] = k_packs_epi64(v[22], v[23]);
1484           u[12] = k_packs_epi64(v[24], v[25]);
1485           u[13] = k_packs_epi64(v[26], v[27]);
1486           u[14] = k_packs_epi64(v[28], v[29]);
1487           u[15] = k_packs_epi64(v[30], v[31]);
1488 
1489           v[ 0] = _mm_add_epi32(u[ 0], k__DCT_CONST_ROUNDING);
1490           v[ 1] = _mm_add_epi32(u[ 1], k__DCT_CONST_ROUNDING);
1491           v[ 2] = _mm_add_epi32(u[ 2], k__DCT_CONST_ROUNDING);
1492           v[ 3] = _mm_add_epi32(u[ 3], k__DCT_CONST_ROUNDING);
1493           v[ 4] = _mm_add_epi32(u[ 4], k__DCT_CONST_ROUNDING);
1494           v[ 5] = _mm_add_epi32(u[ 5], k__DCT_CONST_ROUNDING);
1495           v[ 6] = _mm_add_epi32(u[ 6], k__DCT_CONST_ROUNDING);
1496           v[ 7] = _mm_add_epi32(u[ 7], k__DCT_CONST_ROUNDING);
1497           v[ 8] = _mm_add_epi32(u[ 8], k__DCT_CONST_ROUNDING);
1498           v[ 9] = _mm_add_epi32(u[ 9], k__DCT_CONST_ROUNDING);
1499           v[10] = _mm_add_epi32(u[10], k__DCT_CONST_ROUNDING);
1500           v[11] = _mm_add_epi32(u[11], k__DCT_CONST_ROUNDING);
1501           v[12] = _mm_add_epi32(u[12], k__DCT_CONST_ROUNDING);
1502           v[13] = _mm_add_epi32(u[13], k__DCT_CONST_ROUNDING);
1503           v[14] = _mm_add_epi32(u[14], k__DCT_CONST_ROUNDING);
1504           v[15] = _mm_add_epi32(u[15], k__DCT_CONST_ROUNDING);
1505 
1506           lstep1[36] = _mm_srai_epi32(v[ 0], DCT_CONST_BITS);
1507           lstep1[37] = _mm_srai_epi32(v[ 1], DCT_CONST_BITS);
1508           lstep1[38] = _mm_srai_epi32(v[ 2], DCT_CONST_BITS);
1509           lstep1[39] = _mm_srai_epi32(v[ 3], DCT_CONST_BITS);
1510           lstep1[40] = _mm_srai_epi32(v[ 4], DCT_CONST_BITS);
1511           lstep1[41] = _mm_srai_epi32(v[ 5], DCT_CONST_BITS);
1512           lstep1[42] = _mm_srai_epi32(v[ 6], DCT_CONST_BITS);
1513           lstep1[43] = _mm_srai_epi32(v[ 7], DCT_CONST_BITS);
1514           lstep1[52] = _mm_srai_epi32(v[ 8], DCT_CONST_BITS);
1515           lstep1[53] = _mm_srai_epi32(v[ 9], DCT_CONST_BITS);
1516           lstep1[54] = _mm_srai_epi32(v[10], DCT_CONST_BITS);
1517           lstep1[55] = _mm_srai_epi32(v[11], DCT_CONST_BITS);
1518           lstep1[56] = _mm_srai_epi32(v[12], DCT_CONST_BITS);
1519           lstep1[57] = _mm_srai_epi32(v[13], DCT_CONST_BITS);
1520           lstep1[58] = _mm_srai_epi32(v[14], DCT_CONST_BITS);
1521           lstep1[59] = _mm_srai_epi32(v[15], DCT_CONST_BITS);
1522         }
1523         // stage 5
1524         {
1525           lstep2[ 8] = _mm_add_epi32(lstep1[10], lstep3[ 8]);
1526           lstep2[ 9] = _mm_add_epi32(lstep1[11], lstep3[ 9]);
1527           lstep2[10] = _mm_sub_epi32(lstep3[ 8], lstep1[10]);
1528           lstep2[11] = _mm_sub_epi32(lstep3[ 9], lstep1[11]);
1529           lstep2[12] = _mm_sub_epi32(lstep3[14], lstep1[12]);
1530           lstep2[13] = _mm_sub_epi32(lstep3[15], lstep1[13]);
1531           lstep2[14] = _mm_add_epi32(lstep1[12], lstep3[14]);
1532           lstep2[15] = _mm_add_epi32(lstep1[13], lstep3[15]);
1533         }
1534         {
1535           const __m128i k32_p16_p16 = pair_set_epi32(cospi_16_64, cospi_16_64);
1536           const __m128i k32_p16_m16 = pair_set_epi32(cospi_16_64, -cospi_16_64);
1537           const __m128i k32_p24_p08 = pair_set_epi32(cospi_24_64, cospi_8_64);
1538           const __m128i k32_m08_p24 = pair_set_epi32(-cospi_8_64, cospi_24_64);
1539 
1540           u[0] = _mm_unpacklo_epi32(lstep1[0], lstep1[2]);
1541           u[1] = _mm_unpackhi_epi32(lstep1[0], lstep1[2]);
1542           u[2] = _mm_unpacklo_epi32(lstep1[1], lstep1[3]);
1543           u[3] = _mm_unpackhi_epi32(lstep1[1], lstep1[3]);
1544           u[4] = _mm_unpacklo_epi32(lstep1[4], lstep1[6]);
1545           u[5] = _mm_unpackhi_epi32(lstep1[4], lstep1[6]);
1546           u[6] = _mm_unpacklo_epi32(lstep1[5], lstep1[7]);
1547           u[7] = _mm_unpackhi_epi32(lstep1[5], lstep1[7]);
1548 
1549           // TODO(jingning): manually inline k_madd_epi32_ to further hide
1550           // instruction latency.
1551           v[ 0] = k_madd_epi32(u[0], k32_p16_p16);
1552           v[ 1] = k_madd_epi32(u[1], k32_p16_p16);
1553           v[ 2] = k_madd_epi32(u[2], k32_p16_p16);
1554           v[ 3] = k_madd_epi32(u[3], k32_p16_p16);
1555           v[ 4] = k_madd_epi32(u[0], k32_p16_m16);
1556           v[ 5] = k_madd_epi32(u[1], k32_p16_m16);
1557           v[ 6] = k_madd_epi32(u[2], k32_p16_m16);
1558           v[ 7] = k_madd_epi32(u[3], k32_p16_m16);
1559           v[ 8] = k_madd_epi32(u[4], k32_p24_p08);
1560           v[ 9] = k_madd_epi32(u[5], k32_p24_p08);
1561           v[10] = k_madd_epi32(u[6], k32_p24_p08);
1562           v[11] = k_madd_epi32(u[7], k32_p24_p08);
1563           v[12] = k_madd_epi32(u[4], k32_m08_p24);
1564           v[13] = k_madd_epi32(u[5], k32_m08_p24);
1565           v[14] = k_madd_epi32(u[6], k32_m08_p24);
1566           v[15] = k_madd_epi32(u[7], k32_m08_p24);
1567 
1568           u[0] = k_packs_epi64(v[0], v[1]);
1569           u[1] = k_packs_epi64(v[2], v[3]);
1570           u[2] = k_packs_epi64(v[4], v[5]);
1571           u[3] = k_packs_epi64(v[6], v[7]);
1572           u[4] = k_packs_epi64(v[8], v[9]);
1573           u[5] = k_packs_epi64(v[10], v[11]);
1574           u[6] = k_packs_epi64(v[12], v[13]);
1575           u[7] = k_packs_epi64(v[14], v[15]);
1576 
1577           v[0] = _mm_add_epi32(u[0], k__DCT_CONST_ROUNDING);
1578           v[1] = _mm_add_epi32(u[1], k__DCT_CONST_ROUNDING);
1579           v[2] = _mm_add_epi32(u[2], k__DCT_CONST_ROUNDING);
1580           v[3] = _mm_add_epi32(u[3], k__DCT_CONST_ROUNDING);
1581           v[4] = _mm_add_epi32(u[4], k__DCT_CONST_ROUNDING);
1582           v[5] = _mm_add_epi32(u[5], k__DCT_CONST_ROUNDING);
1583           v[6] = _mm_add_epi32(u[6], k__DCT_CONST_ROUNDING);
1584           v[7] = _mm_add_epi32(u[7], k__DCT_CONST_ROUNDING);
1585 
1586           u[0] = _mm_srai_epi32(v[0], DCT_CONST_BITS);
1587           u[1] = _mm_srai_epi32(v[1], DCT_CONST_BITS);
1588           u[2] = _mm_srai_epi32(v[2], DCT_CONST_BITS);
1589           u[3] = _mm_srai_epi32(v[3], DCT_CONST_BITS);
1590           u[4] = _mm_srai_epi32(v[4], DCT_CONST_BITS);
1591           u[5] = _mm_srai_epi32(v[5], DCT_CONST_BITS);
1592           u[6] = _mm_srai_epi32(v[6], DCT_CONST_BITS);
1593           u[7] = _mm_srai_epi32(v[7], DCT_CONST_BITS);
1594 
1595           sign[0] = _mm_cmplt_epi32(u[0], kZero);
1596           sign[1] = _mm_cmplt_epi32(u[1], kZero);
1597           sign[2] = _mm_cmplt_epi32(u[2], kZero);
1598           sign[3] = _mm_cmplt_epi32(u[3], kZero);
1599           sign[4] = _mm_cmplt_epi32(u[4], kZero);
1600           sign[5] = _mm_cmplt_epi32(u[5], kZero);
1601           sign[6] = _mm_cmplt_epi32(u[6], kZero);
1602           sign[7] = _mm_cmplt_epi32(u[7], kZero);
1603 
1604           u[0] = _mm_sub_epi32(u[0], sign[0]);
1605           u[1] = _mm_sub_epi32(u[1], sign[1]);
1606           u[2] = _mm_sub_epi32(u[2], sign[2]);
1607           u[3] = _mm_sub_epi32(u[3], sign[3]);
1608           u[4] = _mm_sub_epi32(u[4], sign[4]);
1609           u[5] = _mm_sub_epi32(u[5], sign[5]);
1610           u[6] = _mm_sub_epi32(u[6], sign[6]);
1611           u[7] = _mm_sub_epi32(u[7], sign[7]);
1612 
1613           u[0] = _mm_add_epi32(u[0], K32One);
1614           u[1] = _mm_add_epi32(u[1], K32One);
1615           u[2] = _mm_add_epi32(u[2], K32One);
1616           u[3] = _mm_add_epi32(u[3], K32One);
1617           u[4] = _mm_add_epi32(u[4], K32One);
1618           u[5] = _mm_add_epi32(u[5], K32One);
1619           u[6] = _mm_add_epi32(u[6], K32One);
1620           u[7] = _mm_add_epi32(u[7], K32One);
1621 
1622           u[0] = _mm_srai_epi32(u[0], 2);
1623           u[1] = _mm_srai_epi32(u[1], 2);
1624           u[2] = _mm_srai_epi32(u[2], 2);
1625           u[3] = _mm_srai_epi32(u[3], 2);
1626           u[4] = _mm_srai_epi32(u[4], 2);
1627           u[5] = _mm_srai_epi32(u[5], 2);
1628           u[6] = _mm_srai_epi32(u[6], 2);
1629           u[7] = _mm_srai_epi32(u[7], 2);
1630 
1631           // Combine
1632           out[ 0] = _mm_packs_epi32(u[0], u[1]);
1633           out[16] = _mm_packs_epi32(u[2], u[3]);
1634           out[ 8] = _mm_packs_epi32(u[4], u[5]);
1635           out[24] = _mm_packs_epi32(u[6], u[7]);
1636         }
1637         {
1638           const __m128i k32_m08_p24 = pair_set_epi32(-cospi_8_64, cospi_24_64);
1639           const __m128i k32_m24_m08 = pair_set_epi32(-cospi_24_64, -cospi_8_64);
1640           const __m128i k32_p24_p08 = pair_set_epi32(cospi_24_64, cospi_8_64);
1641 
1642           u[0] = _mm_unpacklo_epi32(lstep1[18], lstep1[28]);
1643           u[1] = _mm_unpackhi_epi32(lstep1[18], lstep1[28]);
1644           u[2] = _mm_unpacklo_epi32(lstep1[19], lstep1[29]);
1645           u[3] = _mm_unpackhi_epi32(lstep1[19], lstep1[29]);
1646           u[4] = _mm_unpacklo_epi32(lstep1[20], lstep1[26]);
1647           u[5] = _mm_unpackhi_epi32(lstep1[20], lstep1[26]);
1648           u[6] = _mm_unpacklo_epi32(lstep1[21], lstep1[27]);
1649           u[7] = _mm_unpackhi_epi32(lstep1[21], lstep1[27]);
1650 
1651           v[0] = k_madd_epi32(u[0], k32_m08_p24);
1652           v[1] = k_madd_epi32(u[1], k32_m08_p24);
1653           v[2] = k_madd_epi32(u[2], k32_m08_p24);
1654           v[3] = k_madd_epi32(u[3], k32_m08_p24);
1655           v[4] = k_madd_epi32(u[4], k32_m24_m08);
1656           v[5] = k_madd_epi32(u[5], k32_m24_m08);
1657           v[6] = k_madd_epi32(u[6], k32_m24_m08);
1658           v[7] = k_madd_epi32(u[7], k32_m24_m08);
1659           v[ 8] = k_madd_epi32(u[4], k32_m08_p24);
1660           v[ 9] = k_madd_epi32(u[5], k32_m08_p24);
1661           v[10] = k_madd_epi32(u[6], k32_m08_p24);
1662           v[11] = k_madd_epi32(u[7], k32_m08_p24);
1663           v[12] = k_madd_epi32(u[0], k32_p24_p08);
1664           v[13] = k_madd_epi32(u[1], k32_p24_p08);
1665           v[14] = k_madd_epi32(u[2], k32_p24_p08);
1666           v[15] = k_madd_epi32(u[3], k32_p24_p08);
1667 
1668           u[0] = k_packs_epi64(v[0], v[1]);
1669           u[1] = k_packs_epi64(v[2], v[3]);
1670           u[2] = k_packs_epi64(v[4], v[5]);
1671           u[3] = k_packs_epi64(v[6], v[7]);
1672           u[4] = k_packs_epi64(v[8], v[9]);
1673           u[5] = k_packs_epi64(v[10], v[11]);
1674           u[6] = k_packs_epi64(v[12], v[13]);
1675           u[7] = k_packs_epi64(v[14], v[15]);
1676 
1677           u[0] = _mm_add_epi32(u[0], k__DCT_CONST_ROUNDING);
1678           u[1] = _mm_add_epi32(u[1], k__DCT_CONST_ROUNDING);
1679           u[2] = _mm_add_epi32(u[2], k__DCT_CONST_ROUNDING);
1680           u[3] = _mm_add_epi32(u[3], k__DCT_CONST_ROUNDING);
1681           u[4] = _mm_add_epi32(u[4], k__DCT_CONST_ROUNDING);
1682           u[5] = _mm_add_epi32(u[5], k__DCT_CONST_ROUNDING);
1683           u[6] = _mm_add_epi32(u[6], k__DCT_CONST_ROUNDING);
1684           u[7] = _mm_add_epi32(u[7], k__DCT_CONST_ROUNDING);
1685 
1686           lstep2[18] = _mm_srai_epi32(u[0], DCT_CONST_BITS);
1687           lstep2[19] = _mm_srai_epi32(u[1], DCT_CONST_BITS);
1688           lstep2[20] = _mm_srai_epi32(u[2], DCT_CONST_BITS);
1689           lstep2[21] = _mm_srai_epi32(u[3], DCT_CONST_BITS);
1690           lstep2[26] = _mm_srai_epi32(u[4], DCT_CONST_BITS);
1691           lstep2[27] = _mm_srai_epi32(u[5], DCT_CONST_BITS);
1692           lstep2[28] = _mm_srai_epi32(u[6], DCT_CONST_BITS);
1693           lstep2[29] = _mm_srai_epi32(u[7], DCT_CONST_BITS);
1694         }
1695         {
1696           lstep2[32] = _mm_add_epi32(lstep1[38], lstep3[32]);
1697           lstep2[33] = _mm_add_epi32(lstep1[39], lstep3[33]);
1698           lstep2[34] = _mm_add_epi32(lstep1[36], lstep3[34]);
1699           lstep2[35] = _mm_add_epi32(lstep1[37], lstep3[35]);
1700           lstep2[36] = _mm_sub_epi32(lstep3[34], lstep1[36]);
1701           lstep2[37] = _mm_sub_epi32(lstep3[35], lstep1[37]);
1702           lstep2[38] = _mm_sub_epi32(lstep3[32], lstep1[38]);
1703           lstep2[39] = _mm_sub_epi32(lstep3[33], lstep1[39]);
1704           lstep2[40] = _mm_sub_epi32(lstep3[46], lstep1[40]);
1705           lstep2[41] = _mm_sub_epi32(lstep3[47], lstep1[41]);
1706           lstep2[42] = _mm_sub_epi32(lstep3[44], lstep1[42]);
1707           lstep2[43] = _mm_sub_epi32(lstep3[45], lstep1[43]);
1708           lstep2[44] = _mm_add_epi32(lstep1[42], lstep3[44]);
1709           lstep2[45] = _mm_add_epi32(lstep1[43], lstep3[45]);
1710           lstep2[46] = _mm_add_epi32(lstep1[40], lstep3[46]);
1711           lstep2[47] = _mm_add_epi32(lstep1[41], lstep3[47]);
1712           lstep2[48] = _mm_add_epi32(lstep1[54], lstep3[48]);
1713           lstep2[49] = _mm_add_epi32(lstep1[55], lstep3[49]);
1714           lstep2[50] = _mm_add_epi32(lstep1[52], lstep3[50]);
1715           lstep2[51] = _mm_add_epi32(lstep1[53], lstep3[51]);
1716           lstep2[52] = _mm_sub_epi32(lstep3[50], lstep1[52]);
1717           lstep2[53] = _mm_sub_epi32(lstep3[51], lstep1[53]);
1718           lstep2[54] = _mm_sub_epi32(lstep3[48], lstep1[54]);
1719           lstep2[55] = _mm_sub_epi32(lstep3[49], lstep1[55]);
1720           lstep2[56] = _mm_sub_epi32(lstep3[62], lstep1[56]);
1721           lstep2[57] = _mm_sub_epi32(lstep3[63], lstep1[57]);
1722           lstep2[58] = _mm_sub_epi32(lstep3[60], lstep1[58]);
1723           lstep2[59] = _mm_sub_epi32(lstep3[61], lstep1[59]);
1724           lstep2[60] = _mm_add_epi32(lstep1[58], lstep3[60]);
1725           lstep2[61] = _mm_add_epi32(lstep1[59], lstep3[61]);
1726           lstep2[62] = _mm_add_epi32(lstep1[56], lstep3[62]);
1727           lstep2[63] = _mm_add_epi32(lstep1[57], lstep3[63]);
1728         }
1729         // stage 6
1730         {
1731           const __m128i k32_p28_p04 = pair_set_epi32(cospi_28_64, cospi_4_64);
1732           const __m128i k32_p12_p20 = pair_set_epi32(cospi_12_64, cospi_20_64);
1733           const __m128i k32_m20_p12 = pair_set_epi32(-cospi_20_64, cospi_12_64);
1734           const __m128i k32_m04_p28 = pair_set_epi32(-cospi_4_64, cospi_28_64);
1735 
1736           u[0] = _mm_unpacklo_epi32(lstep2[ 8], lstep2[14]);
1737           u[1] = _mm_unpackhi_epi32(lstep2[ 8], lstep2[14]);
1738           u[2] = _mm_unpacklo_epi32(lstep2[ 9], lstep2[15]);
1739           u[3] = _mm_unpackhi_epi32(lstep2[ 9], lstep2[15]);
1740           u[4] = _mm_unpacklo_epi32(lstep2[10], lstep2[12]);
1741           u[5] = _mm_unpackhi_epi32(lstep2[10], lstep2[12]);
1742           u[6] = _mm_unpacklo_epi32(lstep2[11], lstep2[13]);
1743           u[7] = _mm_unpackhi_epi32(lstep2[11], lstep2[13]);
1744           u[8] = _mm_unpacklo_epi32(lstep2[10], lstep2[12]);
1745           u[9] = _mm_unpackhi_epi32(lstep2[10], lstep2[12]);
1746           u[10] = _mm_unpacklo_epi32(lstep2[11], lstep2[13]);
1747           u[11] = _mm_unpackhi_epi32(lstep2[11], lstep2[13]);
1748           u[12] = _mm_unpacklo_epi32(lstep2[ 8], lstep2[14]);
1749           u[13] = _mm_unpackhi_epi32(lstep2[ 8], lstep2[14]);
1750           u[14] = _mm_unpacklo_epi32(lstep2[ 9], lstep2[15]);
1751           u[15] = _mm_unpackhi_epi32(lstep2[ 9], lstep2[15]);
1752 
1753           v[0] = k_madd_epi32(u[0], k32_p28_p04);
1754           v[1] = k_madd_epi32(u[1], k32_p28_p04);
1755           v[2] = k_madd_epi32(u[2], k32_p28_p04);
1756           v[3] = k_madd_epi32(u[3], k32_p28_p04);
1757           v[4] = k_madd_epi32(u[4], k32_p12_p20);
1758           v[5] = k_madd_epi32(u[5], k32_p12_p20);
1759           v[6] = k_madd_epi32(u[6], k32_p12_p20);
1760           v[7] = k_madd_epi32(u[7], k32_p12_p20);
1761           v[ 8] = k_madd_epi32(u[ 8], k32_m20_p12);
1762           v[ 9] = k_madd_epi32(u[ 9], k32_m20_p12);
1763           v[10] = k_madd_epi32(u[10], k32_m20_p12);
1764           v[11] = k_madd_epi32(u[11], k32_m20_p12);
1765           v[12] = k_madd_epi32(u[12], k32_m04_p28);
1766           v[13] = k_madd_epi32(u[13], k32_m04_p28);
1767           v[14] = k_madd_epi32(u[14], k32_m04_p28);
1768           v[15] = k_madd_epi32(u[15], k32_m04_p28);
1769 
1770           u[0] = k_packs_epi64(v[0], v[1]);
1771           u[1] = k_packs_epi64(v[2], v[3]);
1772           u[2] = k_packs_epi64(v[4], v[5]);
1773           u[3] = k_packs_epi64(v[6], v[7]);
1774           u[4] = k_packs_epi64(v[8], v[9]);
1775           u[5] = k_packs_epi64(v[10], v[11]);
1776           u[6] = k_packs_epi64(v[12], v[13]);
1777           u[7] = k_packs_epi64(v[14], v[15]);
1778 
1779           v[0] = _mm_add_epi32(u[0], k__DCT_CONST_ROUNDING);
1780           v[1] = _mm_add_epi32(u[1], k__DCT_CONST_ROUNDING);
1781           v[2] = _mm_add_epi32(u[2], k__DCT_CONST_ROUNDING);
1782           v[3] = _mm_add_epi32(u[3], k__DCT_CONST_ROUNDING);
1783           v[4] = _mm_add_epi32(u[4], k__DCT_CONST_ROUNDING);
1784           v[5] = _mm_add_epi32(u[5], k__DCT_CONST_ROUNDING);
1785           v[6] = _mm_add_epi32(u[6], k__DCT_CONST_ROUNDING);
1786           v[7] = _mm_add_epi32(u[7], k__DCT_CONST_ROUNDING);
1787 
1788           u[0] = _mm_srai_epi32(v[0], DCT_CONST_BITS);
1789           u[1] = _mm_srai_epi32(v[1], DCT_CONST_BITS);
1790           u[2] = _mm_srai_epi32(v[2], DCT_CONST_BITS);
1791           u[3] = _mm_srai_epi32(v[3], DCT_CONST_BITS);
1792           u[4] = _mm_srai_epi32(v[4], DCT_CONST_BITS);
1793           u[5] = _mm_srai_epi32(v[5], DCT_CONST_BITS);
1794           u[6] = _mm_srai_epi32(v[6], DCT_CONST_BITS);
1795           u[7] = _mm_srai_epi32(v[7], DCT_CONST_BITS);
1796 
1797           sign[0] = _mm_cmplt_epi32(u[0], kZero);
1798           sign[1] = _mm_cmplt_epi32(u[1], kZero);
1799           sign[2] = _mm_cmplt_epi32(u[2], kZero);
1800           sign[3] = _mm_cmplt_epi32(u[3], kZero);
1801           sign[4] = _mm_cmplt_epi32(u[4], kZero);
1802           sign[5] = _mm_cmplt_epi32(u[5], kZero);
1803           sign[6] = _mm_cmplt_epi32(u[6], kZero);
1804           sign[7] = _mm_cmplt_epi32(u[7], kZero);
1805 
1806           u[0] = _mm_sub_epi32(u[0], sign[0]);
1807           u[1] = _mm_sub_epi32(u[1], sign[1]);
1808           u[2] = _mm_sub_epi32(u[2], sign[2]);
1809           u[3] = _mm_sub_epi32(u[3], sign[3]);
1810           u[4] = _mm_sub_epi32(u[4], sign[4]);
1811           u[5] = _mm_sub_epi32(u[5], sign[5]);
1812           u[6] = _mm_sub_epi32(u[6], sign[6]);
1813           u[7] = _mm_sub_epi32(u[7], sign[7]);
1814 
1815           u[0] = _mm_add_epi32(u[0], K32One);
1816           u[1] = _mm_add_epi32(u[1], K32One);
1817           u[2] = _mm_add_epi32(u[2], K32One);
1818           u[3] = _mm_add_epi32(u[3], K32One);
1819           u[4] = _mm_add_epi32(u[4], K32One);
1820           u[5] = _mm_add_epi32(u[5], K32One);
1821           u[6] = _mm_add_epi32(u[6], K32One);
1822           u[7] = _mm_add_epi32(u[7], K32One);
1823 
1824           u[0] = _mm_srai_epi32(u[0], 2);
1825           u[1] = _mm_srai_epi32(u[1], 2);
1826           u[2] = _mm_srai_epi32(u[2], 2);
1827           u[3] = _mm_srai_epi32(u[3], 2);
1828           u[4] = _mm_srai_epi32(u[4], 2);
1829           u[5] = _mm_srai_epi32(u[5], 2);
1830           u[6] = _mm_srai_epi32(u[6], 2);
1831           u[7] = _mm_srai_epi32(u[7], 2);
1832 
1833           out[ 4] = _mm_packs_epi32(u[0], u[1]);
1834           out[20] = _mm_packs_epi32(u[2], u[3]);
1835           out[12] = _mm_packs_epi32(u[4], u[5]);
1836           out[28] = _mm_packs_epi32(u[6], u[7]);
1837         }
1838         {
1839           lstep3[16] = _mm_add_epi32(lstep2[18], lstep1[16]);
1840           lstep3[17] = _mm_add_epi32(lstep2[19], lstep1[17]);
1841           lstep3[18] = _mm_sub_epi32(lstep1[16], lstep2[18]);
1842           lstep3[19] = _mm_sub_epi32(lstep1[17], lstep2[19]);
1843           lstep3[20] = _mm_sub_epi32(lstep1[22], lstep2[20]);
1844           lstep3[21] = _mm_sub_epi32(lstep1[23], lstep2[21]);
1845           lstep3[22] = _mm_add_epi32(lstep2[20], lstep1[22]);
1846           lstep3[23] = _mm_add_epi32(lstep2[21], lstep1[23]);
1847           lstep3[24] = _mm_add_epi32(lstep2[26], lstep1[24]);
1848           lstep3[25] = _mm_add_epi32(lstep2[27], lstep1[25]);
1849           lstep3[26] = _mm_sub_epi32(lstep1[24], lstep2[26]);
1850           lstep3[27] = _mm_sub_epi32(lstep1[25], lstep2[27]);
1851           lstep3[28] = _mm_sub_epi32(lstep1[30], lstep2[28]);
1852           lstep3[29] = _mm_sub_epi32(lstep1[31], lstep2[29]);
1853           lstep3[30] = _mm_add_epi32(lstep2[28], lstep1[30]);
1854           lstep3[31] = _mm_add_epi32(lstep2[29], lstep1[31]);
1855         }
1856         {
1857           const __m128i k32_m04_p28 = pair_set_epi32(-cospi_4_64, cospi_28_64);
1858           const __m128i k32_m28_m04 = pair_set_epi32(-cospi_28_64, -cospi_4_64);
1859           const __m128i k32_m20_p12 = pair_set_epi32(-cospi_20_64, cospi_12_64);
1860           const __m128i k32_m12_m20 = pair_set_epi32(-cospi_12_64,
1861                                                      -cospi_20_64);
1862           const __m128i k32_p12_p20 = pair_set_epi32(cospi_12_64, cospi_20_64);
1863           const __m128i k32_p28_p04 = pair_set_epi32(cospi_28_64, cospi_4_64);
1864 
1865           u[ 0] = _mm_unpacklo_epi32(lstep2[34], lstep2[60]);
1866           u[ 1] = _mm_unpackhi_epi32(lstep2[34], lstep2[60]);
1867           u[ 2] = _mm_unpacklo_epi32(lstep2[35], lstep2[61]);
1868           u[ 3] = _mm_unpackhi_epi32(lstep2[35], lstep2[61]);
1869           u[ 4] = _mm_unpacklo_epi32(lstep2[36], lstep2[58]);
1870           u[ 5] = _mm_unpackhi_epi32(lstep2[36], lstep2[58]);
1871           u[ 6] = _mm_unpacklo_epi32(lstep2[37], lstep2[59]);
1872           u[ 7] = _mm_unpackhi_epi32(lstep2[37], lstep2[59]);
1873           u[ 8] = _mm_unpacklo_epi32(lstep2[42], lstep2[52]);
1874           u[ 9] = _mm_unpackhi_epi32(lstep2[42], lstep2[52]);
1875           u[10] = _mm_unpacklo_epi32(lstep2[43], lstep2[53]);
1876           u[11] = _mm_unpackhi_epi32(lstep2[43], lstep2[53]);
1877           u[12] = _mm_unpacklo_epi32(lstep2[44], lstep2[50]);
1878           u[13] = _mm_unpackhi_epi32(lstep2[44], lstep2[50]);
1879           u[14] = _mm_unpacklo_epi32(lstep2[45], lstep2[51]);
1880           u[15] = _mm_unpackhi_epi32(lstep2[45], lstep2[51]);
1881 
1882           v[ 0] = k_madd_epi32(u[ 0], k32_m04_p28);
1883           v[ 1] = k_madd_epi32(u[ 1], k32_m04_p28);
1884           v[ 2] = k_madd_epi32(u[ 2], k32_m04_p28);
1885           v[ 3] = k_madd_epi32(u[ 3], k32_m04_p28);
1886           v[ 4] = k_madd_epi32(u[ 4], k32_m28_m04);
1887           v[ 5] = k_madd_epi32(u[ 5], k32_m28_m04);
1888           v[ 6] = k_madd_epi32(u[ 6], k32_m28_m04);
1889           v[ 7] = k_madd_epi32(u[ 7], k32_m28_m04);
1890           v[ 8] = k_madd_epi32(u[ 8], k32_m20_p12);
1891           v[ 9] = k_madd_epi32(u[ 9], k32_m20_p12);
1892           v[10] = k_madd_epi32(u[10], k32_m20_p12);
1893           v[11] = k_madd_epi32(u[11], k32_m20_p12);
1894           v[12] = k_madd_epi32(u[12], k32_m12_m20);
1895           v[13] = k_madd_epi32(u[13], k32_m12_m20);
1896           v[14] = k_madd_epi32(u[14], k32_m12_m20);
1897           v[15] = k_madd_epi32(u[15], k32_m12_m20);
1898           v[16] = k_madd_epi32(u[12], k32_m20_p12);
1899           v[17] = k_madd_epi32(u[13], k32_m20_p12);
1900           v[18] = k_madd_epi32(u[14], k32_m20_p12);
1901           v[19] = k_madd_epi32(u[15], k32_m20_p12);
1902           v[20] = k_madd_epi32(u[ 8], k32_p12_p20);
1903           v[21] = k_madd_epi32(u[ 9], k32_p12_p20);
1904           v[22] = k_madd_epi32(u[10], k32_p12_p20);
1905           v[23] = k_madd_epi32(u[11], k32_p12_p20);
1906           v[24] = k_madd_epi32(u[ 4], k32_m04_p28);
1907           v[25] = k_madd_epi32(u[ 5], k32_m04_p28);
1908           v[26] = k_madd_epi32(u[ 6], k32_m04_p28);
1909           v[27] = k_madd_epi32(u[ 7], k32_m04_p28);
1910           v[28] = k_madd_epi32(u[ 0], k32_p28_p04);
1911           v[29] = k_madd_epi32(u[ 1], k32_p28_p04);
1912           v[30] = k_madd_epi32(u[ 2], k32_p28_p04);
1913           v[31] = k_madd_epi32(u[ 3], k32_p28_p04);
1914 
1915           u[ 0] = k_packs_epi64(v[ 0], v[ 1]);
1916           u[ 1] = k_packs_epi64(v[ 2], v[ 3]);
1917           u[ 2] = k_packs_epi64(v[ 4], v[ 5]);
1918           u[ 3] = k_packs_epi64(v[ 6], v[ 7]);
1919           u[ 4] = k_packs_epi64(v[ 8], v[ 9]);
1920           u[ 5] = k_packs_epi64(v[10], v[11]);
1921           u[ 6] = k_packs_epi64(v[12], v[13]);
1922           u[ 7] = k_packs_epi64(v[14], v[15]);
1923           u[ 8] = k_packs_epi64(v[16], v[17]);
1924           u[ 9] = k_packs_epi64(v[18], v[19]);
1925           u[10] = k_packs_epi64(v[20], v[21]);
1926           u[11] = k_packs_epi64(v[22], v[23]);
1927           u[12] = k_packs_epi64(v[24], v[25]);
1928           u[13] = k_packs_epi64(v[26], v[27]);
1929           u[14] = k_packs_epi64(v[28], v[29]);
1930           u[15] = k_packs_epi64(v[30], v[31]);
1931 
1932           v[ 0] = _mm_add_epi32(u[ 0], k__DCT_CONST_ROUNDING);
1933           v[ 1] = _mm_add_epi32(u[ 1], k__DCT_CONST_ROUNDING);
1934           v[ 2] = _mm_add_epi32(u[ 2], k__DCT_CONST_ROUNDING);
1935           v[ 3] = _mm_add_epi32(u[ 3], k__DCT_CONST_ROUNDING);
1936           v[ 4] = _mm_add_epi32(u[ 4], k__DCT_CONST_ROUNDING);
1937           v[ 5] = _mm_add_epi32(u[ 5], k__DCT_CONST_ROUNDING);
1938           v[ 6] = _mm_add_epi32(u[ 6], k__DCT_CONST_ROUNDING);
1939           v[ 7] = _mm_add_epi32(u[ 7], k__DCT_CONST_ROUNDING);
1940           v[ 8] = _mm_add_epi32(u[ 8], k__DCT_CONST_ROUNDING);
1941           v[ 9] = _mm_add_epi32(u[ 9], k__DCT_CONST_ROUNDING);
1942           v[10] = _mm_add_epi32(u[10], k__DCT_CONST_ROUNDING);
1943           v[11] = _mm_add_epi32(u[11], k__DCT_CONST_ROUNDING);
1944           v[12] = _mm_add_epi32(u[12], k__DCT_CONST_ROUNDING);
1945           v[13] = _mm_add_epi32(u[13], k__DCT_CONST_ROUNDING);
1946           v[14] = _mm_add_epi32(u[14], k__DCT_CONST_ROUNDING);
1947           v[15] = _mm_add_epi32(u[15], k__DCT_CONST_ROUNDING);
1948 
1949           lstep3[34] = _mm_srai_epi32(v[ 0], DCT_CONST_BITS);
1950           lstep3[35] = _mm_srai_epi32(v[ 1], DCT_CONST_BITS);
1951           lstep3[36] = _mm_srai_epi32(v[ 2], DCT_CONST_BITS);
1952           lstep3[37] = _mm_srai_epi32(v[ 3], DCT_CONST_BITS);
1953           lstep3[42] = _mm_srai_epi32(v[ 4], DCT_CONST_BITS);
1954           lstep3[43] = _mm_srai_epi32(v[ 5], DCT_CONST_BITS);
1955           lstep3[44] = _mm_srai_epi32(v[ 6], DCT_CONST_BITS);
1956           lstep3[45] = _mm_srai_epi32(v[ 7], DCT_CONST_BITS);
1957           lstep3[50] = _mm_srai_epi32(v[ 8], DCT_CONST_BITS);
1958           lstep3[51] = _mm_srai_epi32(v[ 9], DCT_CONST_BITS);
1959           lstep3[52] = _mm_srai_epi32(v[10], DCT_CONST_BITS);
1960           lstep3[53] = _mm_srai_epi32(v[11], DCT_CONST_BITS);
1961           lstep3[58] = _mm_srai_epi32(v[12], DCT_CONST_BITS);
1962           lstep3[59] = _mm_srai_epi32(v[13], DCT_CONST_BITS);
1963           lstep3[60] = _mm_srai_epi32(v[14], DCT_CONST_BITS);
1964           lstep3[61] = _mm_srai_epi32(v[15], DCT_CONST_BITS);
1965         }
1966         // stage 7
1967         {
1968           const __m128i k32_p30_p02 = pair_set_epi32(cospi_30_64, cospi_2_64);
1969           const __m128i k32_p14_p18 = pair_set_epi32(cospi_14_64, cospi_18_64);
1970           const __m128i k32_p22_p10 = pair_set_epi32(cospi_22_64, cospi_10_64);
1971           const __m128i k32_p06_p26 = pair_set_epi32(cospi_6_64,  cospi_26_64);
1972           const __m128i k32_m26_p06 = pair_set_epi32(-cospi_26_64, cospi_6_64);
1973           const __m128i k32_m10_p22 = pair_set_epi32(-cospi_10_64, cospi_22_64);
1974           const __m128i k32_m18_p14 = pair_set_epi32(-cospi_18_64, cospi_14_64);
1975           const __m128i k32_m02_p30 = pair_set_epi32(-cospi_2_64, cospi_30_64);
1976 
1977           u[ 0] = _mm_unpacklo_epi32(lstep3[16], lstep3[30]);
1978           u[ 1] = _mm_unpackhi_epi32(lstep3[16], lstep3[30]);
1979           u[ 2] = _mm_unpacklo_epi32(lstep3[17], lstep3[31]);
1980           u[ 3] = _mm_unpackhi_epi32(lstep3[17], lstep3[31]);
1981           u[ 4] = _mm_unpacklo_epi32(lstep3[18], lstep3[28]);
1982           u[ 5] = _mm_unpackhi_epi32(lstep3[18], lstep3[28]);
1983           u[ 6] = _mm_unpacklo_epi32(lstep3[19], lstep3[29]);
1984           u[ 7] = _mm_unpackhi_epi32(lstep3[19], lstep3[29]);
1985           u[ 8] = _mm_unpacklo_epi32(lstep3[20], lstep3[26]);
1986           u[ 9] = _mm_unpackhi_epi32(lstep3[20], lstep3[26]);
1987           u[10] = _mm_unpacklo_epi32(lstep3[21], lstep3[27]);
1988           u[11] = _mm_unpackhi_epi32(lstep3[21], lstep3[27]);
1989           u[12] = _mm_unpacklo_epi32(lstep3[22], lstep3[24]);
1990           u[13] = _mm_unpackhi_epi32(lstep3[22], lstep3[24]);
1991           u[14] = _mm_unpacklo_epi32(lstep3[23], lstep3[25]);
1992           u[15] = _mm_unpackhi_epi32(lstep3[23], lstep3[25]);
1993 
1994           v[ 0] = k_madd_epi32(u[ 0], k32_p30_p02);
1995           v[ 1] = k_madd_epi32(u[ 1], k32_p30_p02);
1996           v[ 2] = k_madd_epi32(u[ 2], k32_p30_p02);
1997           v[ 3] = k_madd_epi32(u[ 3], k32_p30_p02);
1998           v[ 4] = k_madd_epi32(u[ 4], k32_p14_p18);
1999           v[ 5] = k_madd_epi32(u[ 5], k32_p14_p18);
2000           v[ 6] = k_madd_epi32(u[ 6], k32_p14_p18);
2001           v[ 7] = k_madd_epi32(u[ 7], k32_p14_p18);
2002           v[ 8] = k_madd_epi32(u[ 8], k32_p22_p10);
2003           v[ 9] = k_madd_epi32(u[ 9], k32_p22_p10);
2004           v[10] = k_madd_epi32(u[10], k32_p22_p10);
2005           v[11] = k_madd_epi32(u[11], k32_p22_p10);
2006           v[12] = k_madd_epi32(u[12], k32_p06_p26);
2007           v[13] = k_madd_epi32(u[13], k32_p06_p26);
2008           v[14] = k_madd_epi32(u[14], k32_p06_p26);
2009           v[15] = k_madd_epi32(u[15], k32_p06_p26);
2010           v[16] = k_madd_epi32(u[12], k32_m26_p06);
2011           v[17] = k_madd_epi32(u[13], k32_m26_p06);
2012           v[18] = k_madd_epi32(u[14], k32_m26_p06);
2013           v[19] = k_madd_epi32(u[15], k32_m26_p06);
2014           v[20] = k_madd_epi32(u[ 8], k32_m10_p22);
2015           v[21] = k_madd_epi32(u[ 9], k32_m10_p22);
2016           v[22] = k_madd_epi32(u[10], k32_m10_p22);
2017           v[23] = k_madd_epi32(u[11], k32_m10_p22);
2018           v[24] = k_madd_epi32(u[ 4], k32_m18_p14);
2019           v[25] = k_madd_epi32(u[ 5], k32_m18_p14);
2020           v[26] = k_madd_epi32(u[ 6], k32_m18_p14);
2021           v[27] = k_madd_epi32(u[ 7], k32_m18_p14);
2022           v[28] = k_madd_epi32(u[ 0], k32_m02_p30);
2023           v[29] = k_madd_epi32(u[ 1], k32_m02_p30);
2024           v[30] = k_madd_epi32(u[ 2], k32_m02_p30);
2025           v[31] = k_madd_epi32(u[ 3], k32_m02_p30);
2026 
2027           u[ 0] = k_packs_epi64(v[ 0], v[ 1]);
2028           u[ 1] = k_packs_epi64(v[ 2], v[ 3]);
2029           u[ 2] = k_packs_epi64(v[ 4], v[ 5]);
2030           u[ 3] = k_packs_epi64(v[ 6], v[ 7]);
2031           u[ 4] = k_packs_epi64(v[ 8], v[ 9]);
2032           u[ 5] = k_packs_epi64(v[10], v[11]);
2033           u[ 6] = k_packs_epi64(v[12], v[13]);
2034           u[ 7] = k_packs_epi64(v[14], v[15]);
2035           u[ 8] = k_packs_epi64(v[16], v[17]);
2036           u[ 9] = k_packs_epi64(v[18], v[19]);
2037           u[10] = k_packs_epi64(v[20], v[21]);
2038           u[11] = k_packs_epi64(v[22], v[23]);
2039           u[12] = k_packs_epi64(v[24], v[25]);
2040           u[13] = k_packs_epi64(v[26], v[27]);
2041           u[14] = k_packs_epi64(v[28], v[29]);
2042           u[15] = k_packs_epi64(v[30], v[31]);
2043 
2044           v[ 0] = _mm_add_epi32(u[ 0], k__DCT_CONST_ROUNDING);
2045           v[ 1] = _mm_add_epi32(u[ 1], k__DCT_CONST_ROUNDING);
2046           v[ 2] = _mm_add_epi32(u[ 2], k__DCT_CONST_ROUNDING);
2047           v[ 3] = _mm_add_epi32(u[ 3], k__DCT_CONST_ROUNDING);
2048           v[ 4] = _mm_add_epi32(u[ 4], k__DCT_CONST_ROUNDING);
2049           v[ 5] = _mm_add_epi32(u[ 5], k__DCT_CONST_ROUNDING);
2050           v[ 6] = _mm_add_epi32(u[ 6], k__DCT_CONST_ROUNDING);
2051           v[ 7] = _mm_add_epi32(u[ 7], k__DCT_CONST_ROUNDING);
2052           v[ 8] = _mm_add_epi32(u[ 8], k__DCT_CONST_ROUNDING);
2053           v[ 9] = _mm_add_epi32(u[ 9], k__DCT_CONST_ROUNDING);
2054           v[10] = _mm_add_epi32(u[10], k__DCT_CONST_ROUNDING);
2055           v[11] = _mm_add_epi32(u[11], k__DCT_CONST_ROUNDING);
2056           v[12] = _mm_add_epi32(u[12], k__DCT_CONST_ROUNDING);
2057           v[13] = _mm_add_epi32(u[13], k__DCT_CONST_ROUNDING);
2058           v[14] = _mm_add_epi32(u[14], k__DCT_CONST_ROUNDING);
2059           v[15] = _mm_add_epi32(u[15], k__DCT_CONST_ROUNDING);
2060 
2061           u[ 0] = _mm_srai_epi32(v[ 0], DCT_CONST_BITS);
2062           u[ 1] = _mm_srai_epi32(v[ 1], DCT_CONST_BITS);
2063           u[ 2] = _mm_srai_epi32(v[ 2], DCT_CONST_BITS);
2064           u[ 3] = _mm_srai_epi32(v[ 3], DCT_CONST_BITS);
2065           u[ 4] = _mm_srai_epi32(v[ 4], DCT_CONST_BITS);
2066           u[ 5] = _mm_srai_epi32(v[ 5], DCT_CONST_BITS);
2067           u[ 6] = _mm_srai_epi32(v[ 6], DCT_CONST_BITS);
2068           u[ 7] = _mm_srai_epi32(v[ 7], DCT_CONST_BITS);
2069           u[ 8] = _mm_srai_epi32(v[ 8], DCT_CONST_BITS);
2070           u[ 9] = _mm_srai_epi32(v[ 9], DCT_CONST_BITS);
2071           u[10] = _mm_srai_epi32(v[10], DCT_CONST_BITS);
2072           u[11] = _mm_srai_epi32(v[11], DCT_CONST_BITS);
2073           u[12] = _mm_srai_epi32(v[12], DCT_CONST_BITS);
2074           u[13] = _mm_srai_epi32(v[13], DCT_CONST_BITS);
2075           u[14] = _mm_srai_epi32(v[14], DCT_CONST_BITS);
2076           u[15] = _mm_srai_epi32(v[15], DCT_CONST_BITS);
2077 
2078           v[ 0] = _mm_cmplt_epi32(u[ 0], kZero);
2079           v[ 1] = _mm_cmplt_epi32(u[ 1], kZero);
2080           v[ 2] = _mm_cmplt_epi32(u[ 2], kZero);
2081           v[ 3] = _mm_cmplt_epi32(u[ 3], kZero);
2082           v[ 4] = _mm_cmplt_epi32(u[ 4], kZero);
2083           v[ 5] = _mm_cmplt_epi32(u[ 5], kZero);
2084           v[ 6] = _mm_cmplt_epi32(u[ 6], kZero);
2085           v[ 7] = _mm_cmplt_epi32(u[ 7], kZero);
2086           v[ 8] = _mm_cmplt_epi32(u[ 8], kZero);
2087           v[ 9] = _mm_cmplt_epi32(u[ 9], kZero);
2088           v[10] = _mm_cmplt_epi32(u[10], kZero);
2089           v[11] = _mm_cmplt_epi32(u[11], kZero);
2090           v[12] = _mm_cmplt_epi32(u[12], kZero);
2091           v[13] = _mm_cmplt_epi32(u[13], kZero);
2092           v[14] = _mm_cmplt_epi32(u[14], kZero);
2093           v[15] = _mm_cmplt_epi32(u[15], kZero);
2094 
2095           u[ 0] = _mm_sub_epi32(u[ 0], v[ 0]);
2096           u[ 1] = _mm_sub_epi32(u[ 1], v[ 1]);
2097           u[ 2] = _mm_sub_epi32(u[ 2], v[ 2]);
2098           u[ 3] = _mm_sub_epi32(u[ 3], v[ 3]);
2099           u[ 4] = _mm_sub_epi32(u[ 4], v[ 4]);
2100           u[ 5] = _mm_sub_epi32(u[ 5], v[ 5]);
2101           u[ 6] = _mm_sub_epi32(u[ 6], v[ 6]);
2102           u[ 7] = _mm_sub_epi32(u[ 7], v[ 7]);
2103           u[ 8] = _mm_sub_epi32(u[ 8], v[ 8]);
2104           u[ 9] = _mm_sub_epi32(u[ 9], v[ 9]);
2105           u[10] = _mm_sub_epi32(u[10], v[10]);
2106           u[11] = _mm_sub_epi32(u[11], v[11]);
2107           u[12] = _mm_sub_epi32(u[12], v[12]);
2108           u[13] = _mm_sub_epi32(u[13], v[13]);
2109           u[14] = _mm_sub_epi32(u[14], v[14]);
2110           u[15] = _mm_sub_epi32(u[15], v[15]);
2111 
2112           v[ 0] = _mm_add_epi32(u[ 0], K32One);
2113           v[ 1] = _mm_add_epi32(u[ 1], K32One);
2114           v[ 2] = _mm_add_epi32(u[ 2], K32One);
2115           v[ 3] = _mm_add_epi32(u[ 3], K32One);
2116           v[ 4] = _mm_add_epi32(u[ 4], K32One);
2117           v[ 5] = _mm_add_epi32(u[ 5], K32One);
2118           v[ 6] = _mm_add_epi32(u[ 6], K32One);
2119           v[ 7] = _mm_add_epi32(u[ 7], K32One);
2120           v[ 8] = _mm_add_epi32(u[ 8], K32One);
2121           v[ 9] = _mm_add_epi32(u[ 9], K32One);
2122           v[10] = _mm_add_epi32(u[10], K32One);
2123           v[11] = _mm_add_epi32(u[11], K32One);
2124           v[12] = _mm_add_epi32(u[12], K32One);
2125           v[13] = _mm_add_epi32(u[13], K32One);
2126           v[14] = _mm_add_epi32(u[14], K32One);
2127           v[15] = _mm_add_epi32(u[15], K32One);
2128 
2129           u[ 0] = _mm_srai_epi32(v[ 0], 2);
2130           u[ 1] = _mm_srai_epi32(v[ 1], 2);
2131           u[ 2] = _mm_srai_epi32(v[ 2], 2);
2132           u[ 3] = _mm_srai_epi32(v[ 3], 2);
2133           u[ 4] = _mm_srai_epi32(v[ 4], 2);
2134           u[ 5] = _mm_srai_epi32(v[ 5], 2);
2135           u[ 6] = _mm_srai_epi32(v[ 6], 2);
2136           u[ 7] = _mm_srai_epi32(v[ 7], 2);
2137           u[ 8] = _mm_srai_epi32(v[ 8], 2);
2138           u[ 9] = _mm_srai_epi32(v[ 9], 2);
2139           u[10] = _mm_srai_epi32(v[10], 2);
2140           u[11] = _mm_srai_epi32(v[11], 2);
2141           u[12] = _mm_srai_epi32(v[12], 2);
2142           u[13] = _mm_srai_epi32(v[13], 2);
2143           u[14] = _mm_srai_epi32(v[14], 2);
2144           u[15] = _mm_srai_epi32(v[15], 2);
2145 
2146           out[ 2] = _mm_packs_epi32(u[0], u[1]);
2147           out[18] = _mm_packs_epi32(u[2], u[3]);
2148           out[10] = _mm_packs_epi32(u[4], u[5]);
2149           out[26] = _mm_packs_epi32(u[6], u[7]);
2150           out[ 6] = _mm_packs_epi32(u[8], u[9]);
2151           out[22] = _mm_packs_epi32(u[10], u[11]);
2152           out[14] = _mm_packs_epi32(u[12], u[13]);
2153           out[30] = _mm_packs_epi32(u[14], u[15]);
2154         }
2155         {
2156           lstep1[32] = _mm_add_epi32(lstep3[34], lstep2[32]);
2157           lstep1[33] = _mm_add_epi32(lstep3[35], lstep2[33]);
2158           lstep1[34] = _mm_sub_epi32(lstep2[32], lstep3[34]);
2159           lstep1[35] = _mm_sub_epi32(lstep2[33], lstep3[35]);
2160           lstep1[36] = _mm_sub_epi32(lstep2[38], lstep3[36]);
2161           lstep1[37] = _mm_sub_epi32(lstep2[39], lstep3[37]);
2162           lstep1[38] = _mm_add_epi32(lstep3[36], lstep2[38]);
2163           lstep1[39] = _mm_add_epi32(lstep3[37], lstep2[39]);
2164           lstep1[40] = _mm_add_epi32(lstep3[42], lstep2[40]);
2165           lstep1[41] = _mm_add_epi32(lstep3[43], lstep2[41]);
2166           lstep1[42] = _mm_sub_epi32(lstep2[40], lstep3[42]);
2167           lstep1[43] = _mm_sub_epi32(lstep2[41], lstep3[43]);
2168           lstep1[44] = _mm_sub_epi32(lstep2[46], lstep3[44]);
2169           lstep1[45] = _mm_sub_epi32(lstep2[47], lstep3[45]);
2170           lstep1[46] = _mm_add_epi32(lstep3[44], lstep2[46]);
2171           lstep1[47] = _mm_add_epi32(lstep3[45], lstep2[47]);
2172           lstep1[48] = _mm_add_epi32(lstep3[50], lstep2[48]);
2173           lstep1[49] = _mm_add_epi32(lstep3[51], lstep2[49]);
2174           lstep1[50] = _mm_sub_epi32(lstep2[48], lstep3[50]);
2175           lstep1[51] = _mm_sub_epi32(lstep2[49], lstep3[51]);
2176           lstep1[52] = _mm_sub_epi32(lstep2[54], lstep3[52]);
2177           lstep1[53] = _mm_sub_epi32(lstep2[55], lstep3[53]);
2178           lstep1[54] = _mm_add_epi32(lstep3[52], lstep2[54]);
2179           lstep1[55] = _mm_add_epi32(lstep3[53], lstep2[55]);
2180           lstep1[56] = _mm_add_epi32(lstep3[58], lstep2[56]);
2181           lstep1[57] = _mm_add_epi32(lstep3[59], lstep2[57]);
2182           lstep1[58] = _mm_sub_epi32(lstep2[56], lstep3[58]);
2183           lstep1[59] = _mm_sub_epi32(lstep2[57], lstep3[59]);
2184           lstep1[60] = _mm_sub_epi32(lstep2[62], lstep3[60]);
2185           lstep1[61] = _mm_sub_epi32(lstep2[63], lstep3[61]);
2186           lstep1[62] = _mm_add_epi32(lstep3[60], lstep2[62]);
2187           lstep1[63] = _mm_add_epi32(lstep3[61], lstep2[63]);
2188         }
2189         // stage 8
2190         {
2191           const __m128i k32_p31_p01 = pair_set_epi32(cospi_31_64, cospi_1_64);
2192           const __m128i k32_p15_p17 = pair_set_epi32(cospi_15_64, cospi_17_64);
2193           const __m128i k32_p23_p09 = pair_set_epi32(cospi_23_64, cospi_9_64);
2194           const __m128i k32_p07_p25 = pair_set_epi32(cospi_7_64, cospi_25_64);
2195           const __m128i k32_m25_p07 = pair_set_epi32(-cospi_25_64, cospi_7_64);
2196           const __m128i k32_m09_p23 = pair_set_epi32(-cospi_9_64, cospi_23_64);
2197           const __m128i k32_m17_p15 = pair_set_epi32(-cospi_17_64, cospi_15_64);
2198           const __m128i k32_m01_p31 = pair_set_epi32(-cospi_1_64, cospi_31_64);
2199 
2200           u[ 0] = _mm_unpacklo_epi32(lstep1[32], lstep1[62]);
2201           u[ 1] = _mm_unpackhi_epi32(lstep1[32], lstep1[62]);
2202           u[ 2] = _mm_unpacklo_epi32(lstep1[33], lstep1[63]);
2203           u[ 3] = _mm_unpackhi_epi32(lstep1[33], lstep1[63]);
2204           u[ 4] = _mm_unpacklo_epi32(lstep1[34], lstep1[60]);
2205           u[ 5] = _mm_unpackhi_epi32(lstep1[34], lstep1[60]);
2206           u[ 6] = _mm_unpacklo_epi32(lstep1[35], lstep1[61]);
2207           u[ 7] = _mm_unpackhi_epi32(lstep1[35], lstep1[61]);
2208           u[ 8] = _mm_unpacklo_epi32(lstep1[36], lstep1[58]);
2209           u[ 9] = _mm_unpackhi_epi32(lstep1[36], lstep1[58]);
2210           u[10] = _mm_unpacklo_epi32(lstep1[37], lstep1[59]);
2211           u[11] = _mm_unpackhi_epi32(lstep1[37], lstep1[59]);
2212           u[12] = _mm_unpacklo_epi32(lstep1[38], lstep1[56]);
2213           u[13] = _mm_unpackhi_epi32(lstep1[38], lstep1[56]);
2214           u[14] = _mm_unpacklo_epi32(lstep1[39], lstep1[57]);
2215           u[15] = _mm_unpackhi_epi32(lstep1[39], lstep1[57]);
2216 
2217           v[ 0] = k_madd_epi32(u[ 0], k32_p31_p01);
2218           v[ 1] = k_madd_epi32(u[ 1], k32_p31_p01);
2219           v[ 2] = k_madd_epi32(u[ 2], k32_p31_p01);
2220           v[ 3] = k_madd_epi32(u[ 3], k32_p31_p01);
2221           v[ 4] = k_madd_epi32(u[ 4], k32_p15_p17);
2222           v[ 5] = k_madd_epi32(u[ 5], k32_p15_p17);
2223           v[ 6] = k_madd_epi32(u[ 6], k32_p15_p17);
2224           v[ 7] = k_madd_epi32(u[ 7], k32_p15_p17);
2225           v[ 8] = k_madd_epi32(u[ 8], k32_p23_p09);
2226           v[ 9] = k_madd_epi32(u[ 9], k32_p23_p09);
2227           v[10] = k_madd_epi32(u[10], k32_p23_p09);
2228           v[11] = k_madd_epi32(u[11], k32_p23_p09);
2229           v[12] = k_madd_epi32(u[12], k32_p07_p25);
2230           v[13] = k_madd_epi32(u[13], k32_p07_p25);
2231           v[14] = k_madd_epi32(u[14], k32_p07_p25);
2232           v[15] = k_madd_epi32(u[15], k32_p07_p25);
2233           v[16] = k_madd_epi32(u[12], k32_m25_p07);
2234           v[17] = k_madd_epi32(u[13], k32_m25_p07);
2235           v[18] = k_madd_epi32(u[14], k32_m25_p07);
2236           v[19] = k_madd_epi32(u[15], k32_m25_p07);
2237           v[20] = k_madd_epi32(u[ 8], k32_m09_p23);
2238           v[21] = k_madd_epi32(u[ 9], k32_m09_p23);
2239           v[22] = k_madd_epi32(u[10], k32_m09_p23);
2240           v[23] = k_madd_epi32(u[11], k32_m09_p23);
2241           v[24] = k_madd_epi32(u[ 4], k32_m17_p15);
2242           v[25] = k_madd_epi32(u[ 5], k32_m17_p15);
2243           v[26] = k_madd_epi32(u[ 6], k32_m17_p15);
2244           v[27] = k_madd_epi32(u[ 7], k32_m17_p15);
2245           v[28] = k_madd_epi32(u[ 0], k32_m01_p31);
2246           v[29] = k_madd_epi32(u[ 1], k32_m01_p31);
2247           v[30] = k_madd_epi32(u[ 2], k32_m01_p31);
2248           v[31] = k_madd_epi32(u[ 3], k32_m01_p31);
2249 
2250           u[ 0] = k_packs_epi64(v[ 0], v[ 1]);
2251           u[ 1] = k_packs_epi64(v[ 2], v[ 3]);
2252           u[ 2] = k_packs_epi64(v[ 4], v[ 5]);
2253           u[ 3] = k_packs_epi64(v[ 6], v[ 7]);
2254           u[ 4] = k_packs_epi64(v[ 8], v[ 9]);
2255           u[ 5] = k_packs_epi64(v[10], v[11]);
2256           u[ 6] = k_packs_epi64(v[12], v[13]);
2257           u[ 7] = k_packs_epi64(v[14], v[15]);
2258           u[ 8] = k_packs_epi64(v[16], v[17]);
2259           u[ 9] = k_packs_epi64(v[18], v[19]);
2260           u[10] = k_packs_epi64(v[20], v[21]);
2261           u[11] = k_packs_epi64(v[22], v[23]);
2262           u[12] = k_packs_epi64(v[24], v[25]);
2263           u[13] = k_packs_epi64(v[26], v[27]);
2264           u[14] = k_packs_epi64(v[28], v[29]);
2265           u[15] = k_packs_epi64(v[30], v[31]);
2266 
2267           v[ 0] = _mm_add_epi32(u[ 0], k__DCT_CONST_ROUNDING);
2268           v[ 1] = _mm_add_epi32(u[ 1], k__DCT_CONST_ROUNDING);
2269           v[ 2] = _mm_add_epi32(u[ 2], k__DCT_CONST_ROUNDING);
2270           v[ 3] = _mm_add_epi32(u[ 3], k__DCT_CONST_ROUNDING);
2271           v[ 4] = _mm_add_epi32(u[ 4], k__DCT_CONST_ROUNDING);
2272           v[ 5] = _mm_add_epi32(u[ 5], k__DCT_CONST_ROUNDING);
2273           v[ 6] = _mm_add_epi32(u[ 6], k__DCT_CONST_ROUNDING);
2274           v[ 7] = _mm_add_epi32(u[ 7], k__DCT_CONST_ROUNDING);
2275           v[ 8] = _mm_add_epi32(u[ 8], k__DCT_CONST_ROUNDING);
2276           v[ 9] = _mm_add_epi32(u[ 9], k__DCT_CONST_ROUNDING);
2277           v[10] = _mm_add_epi32(u[10], k__DCT_CONST_ROUNDING);
2278           v[11] = _mm_add_epi32(u[11], k__DCT_CONST_ROUNDING);
2279           v[12] = _mm_add_epi32(u[12], k__DCT_CONST_ROUNDING);
2280           v[13] = _mm_add_epi32(u[13], k__DCT_CONST_ROUNDING);
2281           v[14] = _mm_add_epi32(u[14], k__DCT_CONST_ROUNDING);
2282           v[15] = _mm_add_epi32(u[15], k__DCT_CONST_ROUNDING);
2283 
2284           u[ 0] = _mm_srai_epi32(v[ 0], DCT_CONST_BITS);
2285           u[ 1] = _mm_srai_epi32(v[ 1], DCT_CONST_BITS);
2286           u[ 2] = _mm_srai_epi32(v[ 2], DCT_CONST_BITS);
2287           u[ 3] = _mm_srai_epi32(v[ 3], DCT_CONST_BITS);
2288           u[ 4] = _mm_srai_epi32(v[ 4], DCT_CONST_BITS);
2289           u[ 5] = _mm_srai_epi32(v[ 5], DCT_CONST_BITS);
2290           u[ 6] = _mm_srai_epi32(v[ 6], DCT_CONST_BITS);
2291           u[ 7] = _mm_srai_epi32(v[ 7], DCT_CONST_BITS);
2292           u[ 8] = _mm_srai_epi32(v[ 8], DCT_CONST_BITS);
2293           u[ 9] = _mm_srai_epi32(v[ 9], DCT_CONST_BITS);
2294           u[10] = _mm_srai_epi32(v[10], DCT_CONST_BITS);
2295           u[11] = _mm_srai_epi32(v[11], DCT_CONST_BITS);
2296           u[12] = _mm_srai_epi32(v[12], DCT_CONST_BITS);
2297           u[13] = _mm_srai_epi32(v[13], DCT_CONST_BITS);
2298           u[14] = _mm_srai_epi32(v[14], DCT_CONST_BITS);
2299           u[15] = _mm_srai_epi32(v[15], DCT_CONST_BITS);
2300 
2301           v[ 0] = _mm_cmplt_epi32(u[ 0], kZero);
2302           v[ 1] = _mm_cmplt_epi32(u[ 1], kZero);
2303           v[ 2] = _mm_cmplt_epi32(u[ 2], kZero);
2304           v[ 3] = _mm_cmplt_epi32(u[ 3], kZero);
2305           v[ 4] = _mm_cmplt_epi32(u[ 4], kZero);
2306           v[ 5] = _mm_cmplt_epi32(u[ 5], kZero);
2307           v[ 6] = _mm_cmplt_epi32(u[ 6], kZero);
2308           v[ 7] = _mm_cmplt_epi32(u[ 7], kZero);
2309           v[ 8] = _mm_cmplt_epi32(u[ 8], kZero);
2310           v[ 9] = _mm_cmplt_epi32(u[ 9], kZero);
2311           v[10] = _mm_cmplt_epi32(u[10], kZero);
2312           v[11] = _mm_cmplt_epi32(u[11], kZero);
2313           v[12] = _mm_cmplt_epi32(u[12], kZero);
2314           v[13] = _mm_cmplt_epi32(u[13], kZero);
2315           v[14] = _mm_cmplt_epi32(u[14], kZero);
2316           v[15] = _mm_cmplt_epi32(u[15], kZero);
2317 
2318           u[ 0] = _mm_sub_epi32(u[ 0], v[ 0]);
2319           u[ 1] = _mm_sub_epi32(u[ 1], v[ 1]);
2320           u[ 2] = _mm_sub_epi32(u[ 2], v[ 2]);
2321           u[ 3] = _mm_sub_epi32(u[ 3], v[ 3]);
2322           u[ 4] = _mm_sub_epi32(u[ 4], v[ 4]);
2323           u[ 5] = _mm_sub_epi32(u[ 5], v[ 5]);
2324           u[ 6] = _mm_sub_epi32(u[ 6], v[ 6]);
2325           u[ 7] = _mm_sub_epi32(u[ 7], v[ 7]);
2326           u[ 8] = _mm_sub_epi32(u[ 8], v[ 8]);
2327           u[ 9] = _mm_sub_epi32(u[ 9], v[ 9]);
2328           u[10] = _mm_sub_epi32(u[10], v[10]);
2329           u[11] = _mm_sub_epi32(u[11], v[11]);
2330           u[12] = _mm_sub_epi32(u[12], v[12]);
2331           u[13] = _mm_sub_epi32(u[13], v[13]);
2332           u[14] = _mm_sub_epi32(u[14], v[14]);
2333           u[15] = _mm_sub_epi32(u[15], v[15]);
2334 
2335           v[0] = _mm_add_epi32(u[0], K32One);
2336           v[1] = _mm_add_epi32(u[1], K32One);
2337           v[2] = _mm_add_epi32(u[2], K32One);
2338           v[3] = _mm_add_epi32(u[3], K32One);
2339           v[4] = _mm_add_epi32(u[4], K32One);
2340           v[5] = _mm_add_epi32(u[5], K32One);
2341           v[6] = _mm_add_epi32(u[6], K32One);
2342           v[7] = _mm_add_epi32(u[7], K32One);
2343           v[8] = _mm_add_epi32(u[8], K32One);
2344           v[9] = _mm_add_epi32(u[9], K32One);
2345           v[10] = _mm_add_epi32(u[10], K32One);
2346           v[11] = _mm_add_epi32(u[11], K32One);
2347           v[12] = _mm_add_epi32(u[12], K32One);
2348           v[13] = _mm_add_epi32(u[13], K32One);
2349           v[14] = _mm_add_epi32(u[14], K32One);
2350           v[15] = _mm_add_epi32(u[15], K32One);
2351 
2352           u[0] = _mm_srai_epi32(v[0], 2);
2353           u[1] = _mm_srai_epi32(v[1], 2);
2354           u[2] = _mm_srai_epi32(v[2], 2);
2355           u[3] = _mm_srai_epi32(v[3], 2);
2356           u[4] = _mm_srai_epi32(v[4], 2);
2357           u[5] = _mm_srai_epi32(v[5], 2);
2358           u[6] = _mm_srai_epi32(v[6], 2);
2359           u[7] = _mm_srai_epi32(v[7], 2);
2360           u[8] = _mm_srai_epi32(v[8], 2);
2361           u[9] = _mm_srai_epi32(v[9], 2);
2362           u[10] = _mm_srai_epi32(v[10], 2);
2363           u[11] = _mm_srai_epi32(v[11], 2);
2364           u[12] = _mm_srai_epi32(v[12], 2);
2365           u[13] = _mm_srai_epi32(v[13], 2);
2366           u[14] = _mm_srai_epi32(v[14], 2);
2367           u[15] = _mm_srai_epi32(v[15], 2);
2368 
2369           out[ 1] = _mm_packs_epi32(u[0], u[1]);
2370           out[17] = _mm_packs_epi32(u[2], u[3]);
2371           out[ 9] = _mm_packs_epi32(u[4], u[5]);
2372           out[25] = _mm_packs_epi32(u[6], u[7]);
2373           out[ 7] = _mm_packs_epi32(u[8], u[9]);
2374           out[23] = _mm_packs_epi32(u[10], u[11]);
2375           out[15] = _mm_packs_epi32(u[12], u[13]);
2376           out[31] = _mm_packs_epi32(u[14], u[15]);
2377         }
2378         {
2379           const __m128i k32_p27_p05 = pair_set_epi32(cospi_27_64, cospi_5_64);
2380           const __m128i k32_p11_p21 = pair_set_epi32(cospi_11_64, cospi_21_64);
2381           const __m128i k32_p19_p13 = pair_set_epi32(cospi_19_64, cospi_13_64);
2382           const __m128i k32_p03_p29 = pair_set_epi32(cospi_3_64, cospi_29_64);
2383           const __m128i k32_m29_p03 = pair_set_epi32(-cospi_29_64, cospi_3_64);
2384           const __m128i k32_m13_p19 = pair_set_epi32(-cospi_13_64, cospi_19_64);
2385           const __m128i k32_m21_p11 = pair_set_epi32(-cospi_21_64, cospi_11_64);
2386           const __m128i k32_m05_p27 = pair_set_epi32(-cospi_5_64, cospi_27_64);
2387 
2388           u[ 0] = _mm_unpacklo_epi32(lstep1[40], lstep1[54]);
2389           u[ 1] = _mm_unpackhi_epi32(lstep1[40], lstep1[54]);
2390           u[ 2] = _mm_unpacklo_epi32(lstep1[41], lstep1[55]);
2391           u[ 3] = _mm_unpackhi_epi32(lstep1[41], lstep1[55]);
2392           u[ 4] = _mm_unpacklo_epi32(lstep1[42], lstep1[52]);
2393           u[ 5] = _mm_unpackhi_epi32(lstep1[42], lstep1[52]);
2394           u[ 6] = _mm_unpacklo_epi32(lstep1[43], lstep1[53]);
2395           u[ 7] = _mm_unpackhi_epi32(lstep1[43], lstep1[53]);
2396           u[ 8] = _mm_unpacklo_epi32(lstep1[44], lstep1[50]);
2397           u[ 9] = _mm_unpackhi_epi32(lstep1[44], lstep1[50]);
2398           u[10] = _mm_unpacklo_epi32(lstep1[45], lstep1[51]);
2399           u[11] = _mm_unpackhi_epi32(lstep1[45], lstep1[51]);
2400           u[12] = _mm_unpacklo_epi32(lstep1[46], lstep1[48]);
2401           u[13] = _mm_unpackhi_epi32(lstep1[46], lstep1[48]);
2402           u[14] = _mm_unpacklo_epi32(lstep1[47], lstep1[49]);
2403           u[15] = _mm_unpackhi_epi32(lstep1[47], lstep1[49]);
2404 
2405           v[ 0] = k_madd_epi32(u[ 0], k32_p27_p05);
2406           v[ 1] = k_madd_epi32(u[ 1], k32_p27_p05);
2407           v[ 2] = k_madd_epi32(u[ 2], k32_p27_p05);
2408           v[ 3] = k_madd_epi32(u[ 3], k32_p27_p05);
2409           v[ 4] = k_madd_epi32(u[ 4], k32_p11_p21);
2410           v[ 5] = k_madd_epi32(u[ 5], k32_p11_p21);
2411           v[ 6] = k_madd_epi32(u[ 6], k32_p11_p21);
2412           v[ 7] = k_madd_epi32(u[ 7], k32_p11_p21);
2413           v[ 8] = k_madd_epi32(u[ 8], k32_p19_p13);
2414           v[ 9] = k_madd_epi32(u[ 9], k32_p19_p13);
2415           v[10] = k_madd_epi32(u[10], k32_p19_p13);
2416           v[11] = k_madd_epi32(u[11], k32_p19_p13);
2417           v[12] = k_madd_epi32(u[12], k32_p03_p29);
2418           v[13] = k_madd_epi32(u[13], k32_p03_p29);
2419           v[14] = k_madd_epi32(u[14], k32_p03_p29);
2420           v[15] = k_madd_epi32(u[15], k32_p03_p29);
2421           v[16] = k_madd_epi32(u[12], k32_m29_p03);
2422           v[17] = k_madd_epi32(u[13], k32_m29_p03);
2423           v[18] = k_madd_epi32(u[14], k32_m29_p03);
2424           v[19] = k_madd_epi32(u[15], k32_m29_p03);
2425           v[20] = k_madd_epi32(u[ 8], k32_m13_p19);
2426           v[21] = k_madd_epi32(u[ 9], k32_m13_p19);
2427           v[22] = k_madd_epi32(u[10], k32_m13_p19);
2428           v[23] = k_madd_epi32(u[11], k32_m13_p19);
2429           v[24] = k_madd_epi32(u[ 4], k32_m21_p11);
2430           v[25] = k_madd_epi32(u[ 5], k32_m21_p11);
2431           v[26] = k_madd_epi32(u[ 6], k32_m21_p11);
2432           v[27] = k_madd_epi32(u[ 7], k32_m21_p11);
2433           v[28] = k_madd_epi32(u[ 0], k32_m05_p27);
2434           v[29] = k_madd_epi32(u[ 1], k32_m05_p27);
2435           v[30] = k_madd_epi32(u[ 2], k32_m05_p27);
2436           v[31] = k_madd_epi32(u[ 3], k32_m05_p27);
2437 
2438           u[ 0] = k_packs_epi64(v[ 0], v[ 1]);
2439           u[ 1] = k_packs_epi64(v[ 2], v[ 3]);
2440           u[ 2] = k_packs_epi64(v[ 4], v[ 5]);
2441           u[ 3] = k_packs_epi64(v[ 6], v[ 7]);
2442           u[ 4] = k_packs_epi64(v[ 8], v[ 9]);
2443           u[ 5] = k_packs_epi64(v[10], v[11]);
2444           u[ 6] = k_packs_epi64(v[12], v[13]);
2445           u[ 7] = k_packs_epi64(v[14], v[15]);
2446           u[ 8] = k_packs_epi64(v[16], v[17]);
2447           u[ 9] = k_packs_epi64(v[18], v[19]);
2448           u[10] = k_packs_epi64(v[20], v[21]);
2449           u[11] = k_packs_epi64(v[22], v[23]);
2450           u[12] = k_packs_epi64(v[24], v[25]);
2451           u[13] = k_packs_epi64(v[26], v[27]);
2452           u[14] = k_packs_epi64(v[28], v[29]);
2453           u[15] = k_packs_epi64(v[30], v[31]);
2454 
2455           v[ 0] = _mm_add_epi32(u[ 0], k__DCT_CONST_ROUNDING);
2456           v[ 1] = _mm_add_epi32(u[ 1], k__DCT_CONST_ROUNDING);
2457           v[ 2] = _mm_add_epi32(u[ 2], k__DCT_CONST_ROUNDING);
2458           v[ 3] = _mm_add_epi32(u[ 3], k__DCT_CONST_ROUNDING);
2459           v[ 4] = _mm_add_epi32(u[ 4], k__DCT_CONST_ROUNDING);
2460           v[ 5] = _mm_add_epi32(u[ 5], k__DCT_CONST_ROUNDING);
2461           v[ 6] = _mm_add_epi32(u[ 6], k__DCT_CONST_ROUNDING);
2462           v[ 7] = _mm_add_epi32(u[ 7], k__DCT_CONST_ROUNDING);
2463           v[ 8] = _mm_add_epi32(u[ 8], k__DCT_CONST_ROUNDING);
2464           v[ 9] = _mm_add_epi32(u[ 9], k__DCT_CONST_ROUNDING);
2465           v[10] = _mm_add_epi32(u[10], k__DCT_CONST_ROUNDING);
2466           v[11] = _mm_add_epi32(u[11], k__DCT_CONST_ROUNDING);
2467           v[12] = _mm_add_epi32(u[12], k__DCT_CONST_ROUNDING);
2468           v[13] = _mm_add_epi32(u[13], k__DCT_CONST_ROUNDING);
2469           v[14] = _mm_add_epi32(u[14], k__DCT_CONST_ROUNDING);
2470           v[15] = _mm_add_epi32(u[15], k__DCT_CONST_ROUNDING);
2471 
2472           u[ 0] = _mm_srai_epi32(v[ 0], DCT_CONST_BITS);
2473           u[ 1] = _mm_srai_epi32(v[ 1], DCT_CONST_BITS);
2474           u[ 2] = _mm_srai_epi32(v[ 2], DCT_CONST_BITS);
2475           u[ 3] = _mm_srai_epi32(v[ 3], DCT_CONST_BITS);
2476           u[ 4] = _mm_srai_epi32(v[ 4], DCT_CONST_BITS);
2477           u[ 5] = _mm_srai_epi32(v[ 5], DCT_CONST_BITS);
2478           u[ 6] = _mm_srai_epi32(v[ 6], DCT_CONST_BITS);
2479           u[ 7] = _mm_srai_epi32(v[ 7], DCT_CONST_BITS);
2480           u[ 8] = _mm_srai_epi32(v[ 8], DCT_CONST_BITS);
2481           u[ 9] = _mm_srai_epi32(v[ 9], DCT_CONST_BITS);
2482           u[10] = _mm_srai_epi32(v[10], DCT_CONST_BITS);
2483           u[11] = _mm_srai_epi32(v[11], DCT_CONST_BITS);
2484           u[12] = _mm_srai_epi32(v[12], DCT_CONST_BITS);
2485           u[13] = _mm_srai_epi32(v[13], DCT_CONST_BITS);
2486           u[14] = _mm_srai_epi32(v[14], DCT_CONST_BITS);
2487           u[15] = _mm_srai_epi32(v[15], DCT_CONST_BITS);
2488 
2489           v[ 0] = _mm_cmplt_epi32(u[ 0], kZero);
2490           v[ 1] = _mm_cmplt_epi32(u[ 1], kZero);
2491           v[ 2] = _mm_cmplt_epi32(u[ 2], kZero);
2492           v[ 3] = _mm_cmplt_epi32(u[ 3], kZero);
2493           v[ 4] = _mm_cmplt_epi32(u[ 4], kZero);
2494           v[ 5] = _mm_cmplt_epi32(u[ 5], kZero);
2495           v[ 6] = _mm_cmplt_epi32(u[ 6], kZero);
2496           v[ 7] = _mm_cmplt_epi32(u[ 7], kZero);
2497           v[ 8] = _mm_cmplt_epi32(u[ 8], kZero);
2498           v[ 9] = _mm_cmplt_epi32(u[ 9], kZero);
2499           v[10] = _mm_cmplt_epi32(u[10], kZero);
2500           v[11] = _mm_cmplt_epi32(u[11], kZero);
2501           v[12] = _mm_cmplt_epi32(u[12], kZero);
2502           v[13] = _mm_cmplt_epi32(u[13], kZero);
2503           v[14] = _mm_cmplt_epi32(u[14], kZero);
2504           v[15] = _mm_cmplt_epi32(u[15], kZero);
2505 
2506           u[ 0] = _mm_sub_epi32(u[ 0], v[ 0]);
2507           u[ 1] = _mm_sub_epi32(u[ 1], v[ 1]);
2508           u[ 2] = _mm_sub_epi32(u[ 2], v[ 2]);
2509           u[ 3] = _mm_sub_epi32(u[ 3], v[ 3]);
2510           u[ 4] = _mm_sub_epi32(u[ 4], v[ 4]);
2511           u[ 5] = _mm_sub_epi32(u[ 5], v[ 5]);
2512           u[ 6] = _mm_sub_epi32(u[ 6], v[ 6]);
2513           u[ 7] = _mm_sub_epi32(u[ 7], v[ 7]);
2514           u[ 8] = _mm_sub_epi32(u[ 8], v[ 8]);
2515           u[ 9] = _mm_sub_epi32(u[ 9], v[ 9]);
2516           u[10] = _mm_sub_epi32(u[10], v[10]);
2517           u[11] = _mm_sub_epi32(u[11], v[11]);
2518           u[12] = _mm_sub_epi32(u[12], v[12]);
2519           u[13] = _mm_sub_epi32(u[13], v[13]);
2520           u[14] = _mm_sub_epi32(u[14], v[14]);
2521           u[15] = _mm_sub_epi32(u[15], v[15]);
2522 
2523           v[0] = _mm_add_epi32(u[0], K32One);
2524           v[1] = _mm_add_epi32(u[1], K32One);
2525           v[2] = _mm_add_epi32(u[2], K32One);
2526           v[3] = _mm_add_epi32(u[3], K32One);
2527           v[4] = _mm_add_epi32(u[4], K32One);
2528           v[5] = _mm_add_epi32(u[5], K32One);
2529           v[6] = _mm_add_epi32(u[6], K32One);
2530           v[7] = _mm_add_epi32(u[7], K32One);
2531           v[8] = _mm_add_epi32(u[8], K32One);
2532           v[9] = _mm_add_epi32(u[9], K32One);
2533           v[10] = _mm_add_epi32(u[10], K32One);
2534           v[11] = _mm_add_epi32(u[11], K32One);
2535           v[12] = _mm_add_epi32(u[12], K32One);
2536           v[13] = _mm_add_epi32(u[13], K32One);
2537           v[14] = _mm_add_epi32(u[14], K32One);
2538           v[15] = _mm_add_epi32(u[15], K32One);
2539 
2540           u[0] = _mm_srai_epi32(v[0], 2);
2541           u[1] = _mm_srai_epi32(v[1], 2);
2542           u[2] = _mm_srai_epi32(v[2], 2);
2543           u[3] = _mm_srai_epi32(v[3], 2);
2544           u[4] = _mm_srai_epi32(v[4], 2);
2545           u[5] = _mm_srai_epi32(v[5], 2);
2546           u[6] = _mm_srai_epi32(v[6], 2);
2547           u[7] = _mm_srai_epi32(v[7], 2);
2548           u[8] = _mm_srai_epi32(v[8], 2);
2549           u[9] = _mm_srai_epi32(v[9], 2);
2550           u[10] = _mm_srai_epi32(v[10], 2);
2551           u[11] = _mm_srai_epi32(v[11], 2);
2552           u[12] = _mm_srai_epi32(v[12], 2);
2553           u[13] = _mm_srai_epi32(v[13], 2);
2554           u[14] = _mm_srai_epi32(v[14], 2);
2555           u[15] = _mm_srai_epi32(v[15], 2);
2556 
2557           out[ 5] = _mm_packs_epi32(u[0], u[1]);
2558           out[21] = _mm_packs_epi32(u[2], u[3]);
2559           out[13] = _mm_packs_epi32(u[4], u[5]);
2560           out[29] = _mm_packs_epi32(u[6], u[7]);
2561           out[ 3] = _mm_packs_epi32(u[8], u[9]);
2562           out[19] = _mm_packs_epi32(u[10], u[11]);
2563           out[11] = _mm_packs_epi32(u[12], u[13]);
2564           out[27] = _mm_packs_epi32(u[14], u[15]);
2565         }
2566       }
2567 #endif
2568       // Transpose the results, do it as four 8x8 transposes.
2569       {
2570         int transpose_block;
2571         int16_t *output;
2572         if (0 == pass) {
2573           output = &intermediate[column_start * 32];
2574         } else {
2575           output = &output_org[column_start * 32];
2576         }
2577         for (transpose_block = 0; transpose_block < 4; ++transpose_block) {
2578           __m128i *this_out = &out[8 * transpose_block];
2579           // 00 01 02 03 04 05 06 07
2580           // 10 11 12 13 14 15 16 17
2581           // 20 21 22 23 24 25 26 27
2582           // 30 31 32 33 34 35 36 37
2583           // 40 41 42 43 44 45 46 47
2584           // 50 51 52 53 54 55 56 57
2585           // 60 61 62 63 64 65 66 67
2586           // 70 71 72 73 74 75 76 77
2587           const __m128i tr0_0 = _mm_unpacklo_epi16(this_out[0], this_out[1]);
2588           const __m128i tr0_1 = _mm_unpacklo_epi16(this_out[2], this_out[3]);
2589           const __m128i tr0_2 = _mm_unpackhi_epi16(this_out[0], this_out[1]);
2590           const __m128i tr0_3 = _mm_unpackhi_epi16(this_out[2], this_out[3]);
2591           const __m128i tr0_4 = _mm_unpacklo_epi16(this_out[4], this_out[5]);
2592           const __m128i tr0_5 = _mm_unpacklo_epi16(this_out[6], this_out[7]);
2593           const __m128i tr0_6 = _mm_unpackhi_epi16(this_out[4], this_out[5]);
2594           const __m128i tr0_7 = _mm_unpackhi_epi16(this_out[6], this_out[7]);
2595           // 00 10 01 11 02 12 03 13
2596           // 20 30 21 31 22 32 23 33
2597           // 04 14 05 15 06 16 07 17
2598           // 24 34 25 35 26 36 27 37
2599           // 40 50 41 51 42 52 43 53
2600           // 60 70 61 71 62 72 63 73
2601           // 54 54 55 55 56 56 57 57
2602           // 64 74 65 75 66 76 67 77
2603           const __m128i tr1_0 = _mm_unpacklo_epi32(tr0_0, tr0_1);
2604           const __m128i tr1_1 = _mm_unpacklo_epi32(tr0_2, tr0_3);
2605           const __m128i tr1_2 = _mm_unpackhi_epi32(tr0_0, tr0_1);
2606           const __m128i tr1_3 = _mm_unpackhi_epi32(tr0_2, tr0_3);
2607           const __m128i tr1_4 = _mm_unpacklo_epi32(tr0_4, tr0_5);
2608           const __m128i tr1_5 = _mm_unpacklo_epi32(tr0_6, tr0_7);
2609           const __m128i tr1_6 = _mm_unpackhi_epi32(tr0_4, tr0_5);
2610           const __m128i tr1_7 = _mm_unpackhi_epi32(tr0_6, tr0_7);
2611           // 00 10 20 30 01 11 21 31
2612           // 40 50 60 70 41 51 61 71
2613           // 02 12 22 32 03 13 23 33
2614           // 42 52 62 72 43 53 63 73
2615           // 04 14 24 34 05 15 21 36
2616           // 44 54 64 74 45 55 61 76
2617           // 06 16 26 36 07 17 27 37
2618           // 46 56 66 76 47 57 67 77
2619           __m128i tr2_0 = _mm_unpacklo_epi64(tr1_0, tr1_4);
2620           __m128i tr2_1 = _mm_unpackhi_epi64(tr1_0, tr1_4);
2621           __m128i tr2_2 = _mm_unpacklo_epi64(tr1_2, tr1_6);
2622           __m128i tr2_3 = _mm_unpackhi_epi64(tr1_2, tr1_6);
2623           __m128i tr2_4 = _mm_unpacklo_epi64(tr1_1, tr1_5);
2624           __m128i tr2_5 = _mm_unpackhi_epi64(tr1_1, tr1_5);
2625           __m128i tr2_6 = _mm_unpacklo_epi64(tr1_3, tr1_7);
2626           __m128i tr2_7 = _mm_unpackhi_epi64(tr1_3, tr1_7);
2627           // 00 10 20 30 40 50 60 70
2628           // 01 11 21 31 41 51 61 71
2629           // 02 12 22 32 42 52 62 72
2630           // 03 13 23 33 43 53 63 73
2631           // 04 14 24 34 44 54 64 74
2632           // 05 15 25 35 45 55 65 75
2633           // 06 16 26 36 46 56 66 76
2634           // 07 17 27 37 47 57 67 77
2635           if (0 == pass) {
2636             // output[j] = (output[j] + 1 + (output[j] > 0)) >> 2;
2637             // TODO(cd): see quality impact of only doing
2638             //           output[j] = (output[j] + 1) >> 2;
2639             //           which would remove the code between here ...
2640             __m128i tr2_0_0 = _mm_cmpgt_epi16(tr2_0, kZero);
2641             __m128i tr2_1_0 = _mm_cmpgt_epi16(tr2_1, kZero);
2642             __m128i tr2_2_0 = _mm_cmpgt_epi16(tr2_2, kZero);
2643             __m128i tr2_3_0 = _mm_cmpgt_epi16(tr2_3, kZero);
2644             __m128i tr2_4_0 = _mm_cmpgt_epi16(tr2_4, kZero);
2645             __m128i tr2_5_0 = _mm_cmpgt_epi16(tr2_5, kZero);
2646             __m128i tr2_6_0 = _mm_cmpgt_epi16(tr2_6, kZero);
2647             __m128i tr2_7_0 = _mm_cmpgt_epi16(tr2_7, kZero);
2648             tr2_0 = _mm_sub_epi16(tr2_0, tr2_0_0);
2649             tr2_1 = _mm_sub_epi16(tr2_1, tr2_1_0);
2650             tr2_2 = _mm_sub_epi16(tr2_2, tr2_2_0);
2651             tr2_3 = _mm_sub_epi16(tr2_3, tr2_3_0);
2652             tr2_4 = _mm_sub_epi16(tr2_4, tr2_4_0);
2653             tr2_5 = _mm_sub_epi16(tr2_5, tr2_5_0);
2654             tr2_6 = _mm_sub_epi16(tr2_6, tr2_6_0);
2655             tr2_7 = _mm_sub_epi16(tr2_7, tr2_7_0);
2656             //           ... and here.
2657             //           PS: also change code in vp9/encoder/vp9_dct.c
2658             tr2_0 = _mm_add_epi16(tr2_0, kOne);
2659             tr2_1 = _mm_add_epi16(tr2_1, kOne);
2660             tr2_2 = _mm_add_epi16(tr2_2, kOne);
2661             tr2_3 = _mm_add_epi16(tr2_3, kOne);
2662             tr2_4 = _mm_add_epi16(tr2_4, kOne);
2663             tr2_5 = _mm_add_epi16(tr2_5, kOne);
2664             tr2_6 = _mm_add_epi16(tr2_6, kOne);
2665             tr2_7 = _mm_add_epi16(tr2_7, kOne);
2666             tr2_0 = _mm_srai_epi16(tr2_0, 2);
2667             tr2_1 = _mm_srai_epi16(tr2_1, 2);
2668             tr2_2 = _mm_srai_epi16(tr2_2, 2);
2669             tr2_3 = _mm_srai_epi16(tr2_3, 2);
2670             tr2_4 = _mm_srai_epi16(tr2_4, 2);
2671             tr2_5 = _mm_srai_epi16(tr2_5, 2);
2672             tr2_6 = _mm_srai_epi16(tr2_6, 2);
2673             tr2_7 = _mm_srai_epi16(tr2_7, 2);
2674           }
2675           // Note: even though all these stores are aligned, using the aligned
2676           //       intrinsic make the code slightly slower.
2677           _mm_storeu_si128((__m128i *)(output + 0 * 32), tr2_0);
2678           _mm_storeu_si128((__m128i *)(output + 1 * 32), tr2_1);
2679           _mm_storeu_si128((__m128i *)(output + 2 * 32), tr2_2);
2680           _mm_storeu_si128((__m128i *)(output + 3 * 32), tr2_3);
2681           _mm_storeu_si128((__m128i *)(output + 4 * 32), tr2_4);
2682           _mm_storeu_si128((__m128i *)(output + 5 * 32), tr2_5);
2683           _mm_storeu_si128((__m128i *)(output + 6 * 32), tr2_6);
2684           _mm_storeu_si128((__m128i *)(output + 7 * 32), tr2_7);
2685           // Process next 8x8
2686           output += 8;
2687         }
2688       }
2689     }
2690   }
2691 }  // NOLINT
2692