lte_dfts.c 1.14 MB
Newer Older
ghaddab's avatar
ghaddab committed
1
/*******************************************************************************
2
    OpenAirInterface
ghaddab's avatar
ghaddab committed
3
4
5
6
7
8
9
10
11
12
13
14
15
16
    Copyright(c) 1999 - 2014 Eurecom

    OpenAirInterface is free software: you can redistribute it and/or modify
    it under the terms of the GNU General Public License as published by
    the Free Software Foundation, either version 3 of the License, or
    (at your option) any later version.


    OpenAirInterface is distributed in the hope that it will be useful,
    but WITHOUT ANY WARRANTY; without even the implied warranty of
    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
    GNU General Public License for more details.

    You should have received a copy of the GNU General Public License
17
18
    along with OpenAirInterface.The full GNU General Public License is
   included in this distribution in the file called "COPYING". If not,
ghaddab's avatar
ghaddab committed
19
20
21
22
23
   see <http://www.gnu.org/licenses/>.

  Contact Information
  OpenAirInterface Admin: openair_admin@eurecom.fr
  OpenAirInterface Tech : openair_tech@eurecom.fr
24
  OpenAirInterface Dev  : openair4g-devel@lists.eurecom.fr
25

ghaddab's avatar
ghaddab committed
26
  Address      : Eurecom, Campus SophiaTech, 450 Route des Chappes, CS 50193 - 06904 Biot Sophia Antipolis cedex, FRANCE
ghaddab's avatar
ghaddab committed
27
28

 *******************************************************************************/
29
30
31
32
33
34
35
36
37
38
39
40
41
42
#ifdef USER_MODE
#include <stdio.h>
#include <stdlib.h>
#include <string.h>
#endif

#include <stdint.h>

#ifndef MR_MAIN
#include "PHY/defs.h"
#include "PHY/extern.h"
#include "defs.h"
#else
#include "time_meas.h"
43
#include <math.h>
44
45
46
47
48
49
50

#define debug_msg
#define ONE_OVER_SQRT2_Q15 23170

#endif


51
#include "PHY/sse_intrin.h"
52

53
54
#define print_shorts(s,x) printf("%s %d,%d,%d,%d,%d,%d,%d,%d\n",s,(x)[0],(x)[1],(x)[2],(x)[3],(x)[4],(x)[5],(x)[6],(x)[7])
#define print_ints(s,x) printf("%s %d %d %d %d\n",s,(x)[0],(x)[1],(x)[2],(x)[3])
55

56
57
58
#ifdef AVX2
static int16_t conjugatedft2[16] __attribute__((aligned(32))) = {1,1,1,1,1,1,1,1,-1,1,-1,1,-1,1,-1,1,-1,1};
#endif
59

60
static int16_t conjugatedft[8] __attribute__((aligned(16))) = {-1,1,-1,1,-1,1,-1,1} ;
61
62
63

static short reflip[8]  __attribute__((aligned(16))) = {1,-1,1,-1,1,-1,1,-1};

64
#if defined(__x86_64__) || defined(__i386__)
65
static inline void cmac(__m128i a,__m128i b, __m128i *re32, __m128i *im32) __attribute__((always_inline));
66
67
static inline void cmac(__m128i a,__m128i b, __m128i *re32, __m128i *im32)
{
68
69
70
71
72
73
74

  __m128i cmac_tmp,cmac_tmp_re32,cmac_tmp_im32;

  cmac_tmp    = _mm_sign_epi16(b,*(__m128i*)reflip);
  cmac_tmp_re32  = _mm_madd_epi16(a,cmac_tmp);


knopp's avatar
   
knopp committed
75
76
77
  //  cmac_tmp    = _mm_shufflelo_epi16(b,_MM_SHUFFLE(2,3,0,1));
  //  cmac_tmp    = _mm_shufflehi_epi16(cmac_tmp,_MM_SHUFFLE(2,3,0,1));
  cmac_tmp = _mm_shuffle_epi8(b,_mm_set_epi8(13,12,15,14,9,8,11,10,5,4,7,6,1,0,3,2));
78
79
80
81
82
83
  cmac_tmp_im32  = _mm_madd_epi16(cmac_tmp,a);

  *re32 = _mm_add_epi32(*re32,cmac_tmp_re32);
  *im32 = _mm_add_epi32(*im32,cmac_tmp_im32);
}

84
85
86
87
88
89
90
91
92
93
94
95
96
static inline void cmacc(__m128i a,__m128i b, __m128i *re32, __m128i *im32) __attribute__((always_inline));
static inline void cmacc(__m128i a,__m128i b, __m128i *re32, __m128i *im32)
{

  __m128i cmac_tmp,cmac_tmp_re32,cmac_tmp_im32;


  cmac_tmp_re32  = _mm_madd_epi16(a,b);


  cmac_tmp    = _mm_sign_epi16(b,*(__m128i*)reflip);
  //  cmac_tmp    = _mm_shufflelo_epi16(b,_MM_SHUFFLE(2,3,0,1));
  //  cmac_tmp    = _mm_shufflehi_epi16(cmac_tmp,_MM_SHUFFLE(2,3,0,1));
97
  cmac_tmp = _mm_shuffle_epi8(cmac_tmp,_mm_set_epi8(13,12,15,14,9,8,11,10,5,4,7,6,1,0,3,2));
98
99
100
101
102
103
  cmac_tmp_im32  = _mm_madd_epi16(cmac_tmp,a);

  *re32 = _mm_add_epi32(*re32,cmac_tmp_re32);
  *im32 = _mm_add_epi32(*im32,cmac_tmp_im32);
}

104
105
106
107
108



static inline void cmult(__m128i a,__m128i b, __m128i *re32, __m128i *im32) __attribute__((always_inline));

109
110
static inline void cmult(__m128i a,__m128i b, __m128i *re32, __m128i *im32)
{
111
112
113
114
115

  register __m128i mmtmpb;

  mmtmpb    = _mm_sign_epi16(b,*(__m128i*)reflip);
  *re32     = _mm_madd_epi16(a,mmtmpb);
knopp's avatar
   
knopp committed
116
117
118
  //  mmtmpb    = _mm_shufflelo_epi16(b,_MM_SHUFFLE(2,3,0,1));
  //  mmtmpb    = _mm_shufflehi_epi16(mmtmpb,_MM_SHUFFLE(2,3,0,1));
  mmtmpb        = _mm_shuffle_epi8(b,_mm_set_epi8(13,12,15,14,9,8,11,10,5,4,7,6,1,0,3,2));
119
120
121
122
123
124
  *im32  = _mm_madd_epi16(a,mmtmpb);

}

static inline void cmultc(__m128i a,__m128i b, __m128i *re32, __m128i *im32) __attribute__((always_inline));

125
126
static inline void cmultc(__m128i a,__m128i b, __m128i *re32, __m128i *im32)
{
127
128
129
130
131

  register __m128i mmtmpb;

  *re32     = _mm_madd_epi16(a,b);
  mmtmpb    = _mm_sign_epi16(b,*(__m128i*)reflip);
knopp's avatar
   
knopp committed
132
  mmtmpb    = _mm_shuffle_epi8(mmtmpb,_mm_set_epi8(13,12,15,14,9,8,11,10,5,4,7,6,1,0,3,2));
133
134
135
136
137
138
139
  *im32  = _mm_madd_epi16(a,mmtmpb);

}


static inline __m128i cpack(__m128i xre,__m128i xim) __attribute__((always_inline));

140
141
static inline __m128i cpack(__m128i xre,__m128i xim)
{
142
143
144
145
146
147
148
149
150
151
152
153

  register __m128i cpack_tmp1,cpack_tmp2;

  cpack_tmp1 = _mm_unpacklo_epi32(xre,xim);
  cpack_tmp2 = _mm_unpackhi_epi32(xre,xim);
  return(_mm_packs_epi32(_mm_srai_epi32(cpack_tmp1,15),_mm_srai_epi32(cpack_tmp2,15)));

}


static inline void packed_cmult(__m128i a,__m128i b, __m128i *c) __attribute__((always_inline));

154
155
static inline void packed_cmult(__m128i a,__m128i b, __m128i *c)
{
156
157
158
159
160
161
162
163
164
165

  __m128i cre,cim;
  cmult(a,b,&cre,&cim);
  *c = cpack(cre,cim);

}


static inline void packed_cmultc(__m128i a,__m128i b, __m128i *c) __attribute__((always_inline));

166
167
static inline void packed_cmultc(__m128i a,__m128i b, __m128i *c)
{
168
169
170
171
172
173
174
175
176
177

  __m128i cre,cim;

  cmultc(a,b,&cre,&cim);
  *c = cpack(cre,cim);

}

static inline __m128i packed_cmult2(__m128i a,__m128i b,__m128i b2) __attribute__((always_inline));

178
179
180
181
static inline __m128i packed_cmult2(__m128i a,__m128i b,__m128i b2)
{


182
183
184
185
186
187
188
189
190
  register __m128i cre,cim;

  cre       = _mm_madd_epi16(a,b);
  cim       = _mm_madd_epi16(a,b2);

  return(cpack(cre,cim));

}

191
192
193
194
#elif defined (__arm__)
static inline void cmac(int16x8_t a,int16x8_t b, int32x4_t *re32, int32x4_t *im32) __attribute__((always_inline));
static inline void cmac(int16x8_t a,int16x8_t b, int32x4_t *re32, int32x4_t *im32)
{
195

196
197
198
199
200
201
202
203
204
205
206
207
208
209
  
  int32x4_t ab_re0,ab_re1,ab_im0,ab_im1;
  int16x8_t bflip = vrev32q_s16(b);
  int16x8_t bconj = vmulq_s16(b,*(int16x8_t *)reflip);

  ab_re0 = vmull_s16(((int16x4_t*)&a)[0],((int16x4_t*)&bconj)[0]);
  ab_re1 = vmull_s16(((int16x4_t*)&a)[1],((int16x4_t*)&bconj)[1]);
  ab_im0 = vmull_s16(((int16x4_t*)&a)[0],((int16x4_t*)&bflip)[0]);
  ab_im1 = vmull_s16(((int16x4_t*)&a)[1],((int16x4_t*)&bflip)[1]);
  *re32 = vqaddq_s32(*re32,vcombine_s32(vpadd_s32(((int32x2_t*)&ab_re0)[0],((int32x2_t*)&ab_re0)[1]),
					vpadd_s32(((int32x2_t*)&ab_re1)[0],((int32x2_t*)&ab_re1)[1])));
  *im32 = vqaddq_s32(*im32,vcombine_s32(vpadd_s32(((int32x2_t*)&ab_im0)[0],((int32x2_t*)&ab_im0)[1]),
					vpadd_s32(((int32x2_t*)&ab_im1)[0],((int32x2_t*)&ab_im1)[1])));
}
210

211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
static inline void cmacc(int16x8_t a,int16x8_t b, int32x4_t *re32, int32x4_t *im32) __attribute__((always_inline));
static inline void cmacc(int16x8_t a,int16x8_t b, int32x4_t *re32, int32x4_t *im32)
{
  int32x4_t ab_re0,ab_re1,ab_im0,ab_im1;
  int16x8_t bconj = vmulq_s16(b,*(int16x8_t *)reflip);
  int16x8_t bflip = vrev32q_s16(bconj);

  ab_re0 = vmull_s16(((int16x4_t*)&a)[0],((int16x4_t*)&b)[0]);
  ab_re1 = vmull_s16(((int16x4_t*)&a)[1],((int16x4_t*)&b)[1]);
  ab_im0 = vmull_s16(((int16x4_t*)&a)[0],((int16x4_t*)&bflip)[0]);
  ab_im1 = vmull_s16(((int16x4_t*)&a)[1],((int16x4_t*)&bflip)[1]);
  *re32 = vqaddq_s32(*re32,vcombine_s32(vpadd_s32(((int32x2_t*)&ab_re0)[0],((int32x2_t*)&ab_re0)[1]),
					vpadd_s32(((int32x2_t*)&ab_re1)[0],((int32x2_t*)&ab_re1)[1])));
  *im32 = vqaddq_s32(*im32,vcombine_s32(vpadd_s32(((int32x2_t*)&ab_im0)[0],((int32x2_t*)&ab_im0)[1]),
					vpadd_s32(((int32x2_t*)&ab_im1)[0],((int32x2_t*)&ab_im1)[1])));

}

static inline void cmult(int16x8_t a,int16x8_t b, int32x4_t *re32, int32x4_t *im32) __attribute__((always_inline));
static inline void cmult(int16x8_t a,int16x8_t b, int32x4_t *re32, int32x4_t *im32)
{
  int32x4_t ab_re0,ab_re1,ab_im0,ab_im1;
  int16x8_t bflip = vrev32q_s16(b);
  int16x8_t bconj = vmulq_s16(b,*(int16x8_t *)reflip);
  int16x4_t al,ah,bcl,bch,bfl,bfh;
  int32x2_t abr0l,abr0h,abr1l,abr1h,abi0l,abi0h,abi1l,abi1h;

  al  = vget_low_s16(a);      ah = vget_high_s16(a);
  bcl = vget_low_s16(bconj);  bch = vget_high_s16(bconj);
  bfl = vget_low_s16(bflip);  bfh = vget_high_s16(bflip);

  ab_re0 = vmull_s16(al,bcl);
  ab_re1 = vmull_s16(ah,bch);
  ab_im0 = vmull_s16(al,bfl);
  ab_im1 = vmull_s16(ah,bfh);
  abr0l = vget_low_s32(ab_re0); abr0h = vget_high_s32(ab_re0);
  abr1l = vget_low_s32(ab_re1); abr1h = vget_high_s32(ab_re1);
  abi0l = vget_low_s32(ab_im0); abi0h = vget_high_s32(ab_im0);
  abi1l = vget_low_s32(ab_im1); abi1h = vget_high_s32(ab_im1);

  *re32 = vcombine_s32(vpadd_s32(abr0l,abr0h),
                       vpadd_s32(abr1l,abr1h));
  *im32 = vcombine_s32(vpadd_s32(abi0l,abi0h),
                       vpadd_s32(abi1l,abi1h));
}

static inline void cmultc(int16x8_t a,int16x8_t b, int32x4_t *re32, int32x4_t *im32) __attribute__((always_inline));

static inline void cmultc(int16x8_t a,int16x8_t b, int32x4_t *re32, int32x4_t *im32)
{
  int32x4_t ab_re0,ab_re1,ab_im0,ab_im1;
  int16x8_t bconj = vmulq_s16(b,*(int16x8_t *)reflip);
  int16x8_t bflip = vrev32q_s16(bconj);
  int16x4_t al,ah,bl,bh,bfl,bfh; 
  int32x2_t abr0l,abr0h,abr1l,abr1h,abi0l,abi0h,abi1l,abi1h;
  al  = vget_low_s16(a);     ah = vget_high_s16(a);
  bl  = vget_low_s16(b);     bh = vget_high_s16(b);
  bfl = vget_low_s16(bflip); bfh = vget_high_s16(bflip);

  ab_re0 = vmull_s16(al,bl);
  ab_re1 = vmull_s16(ah,bh);
  ab_im0 = vmull_s16(al,bfl);
  ab_im1 = vmull_s16(ah,bfh);

  abr0l = vget_low_s32(ab_re0); abr0h = vget_high_s32(ab_re0);
  abr1l = vget_low_s32(ab_re1); abr1h = vget_high_s32(ab_re1);
  abi0l = vget_low_s32(ab_im0); abi0h = vget_high_s32(ab_im0);
  abi1l = vget_low_s32(ab_im1); abi1h = vget_high_s32(ab_im1);

  *re32 = vcombine_s32(vpadd_s32(abr0l,abr0h),
		       vpadd_s32(abr1l,abr1h));
  *im32 = vcombine_s32(vpadd_s32(abi0l,abi0h),
		       vpadd_s32(abi1l,abi1h));

}


static inline int16x8_t cpack(int32x4_t xre,int32x4_t xim) __attribute__((always_inline));

static inline int16x8_t cpack(int32x4_t xre,int32x4_t xim)
{
  int32x4x2_t xtmp;

  xtmp = vzipq_s32(xre,xim);
  return(vcombine_s16(vqshrn_n_s32(xtmp.val[0],15),vqshrn_n_s32(xtmp.val[1],15)));

}


static inline void packed_cmult(int16x8_t a,int16x8_t b, int16x8_t *c) __attribute__((always_inline));

static inline void packed_cmult(int16x8_t a,int16x8_t b, int16x8_t *c)
{

  int32x4_t cre,cim;
  cmult(a,b,&cre,&cim);
  *c = cpack(cre,cim);

}


static inline void packed_cmultc(int16x8_t a,int16x8_t b, int16x8_t *c) __attribute__((always_inline));

static inline void packed_cmultc(int16x8_t a,int16x8_t b, int16x8_t *c)
{

  int32x4_t cre,cim;
318

319
  cmultc(a,b,&cre,&cim);
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
  *c = cpack(cre,cim);

}

static inline int16x8_t packed_cmult2(int16x8_t a,int16x8_t b,  int16x8_t b2) __attribute__((always_inline));

static inline int16x8_t packed_cmult2(int16x8_t a,int16x8_t b,  int16x8_t b2)
{

  

  int32x4_t ab_re0,ab_re1,ab_im0,ab_im1,cre,cim;
  
  ab_re0 = vmull_s16(((int16x4_t*)&a)[0],((int16x4_t*)&b)[0]);
  ab_re1 = vmull_s16(((int16x4_t*)&a)[1],((int16x4_t*)&b)[1]);
  ab_im0 = vmull_s16(((int16x4_t*)&a)[0],((int16x4_t*)&b2)[0]);
  ab_im1 = vmull_s16(((int16x4_t*)&a)[1],((int16x4_t*)&b2)[1]);
  cre = vcombine_s32(vpadd_s32(((int32x2_t*)&ab_re0)[0],((int32x2_t*)&ab_re0)[1]),
		     vpadd_s32(((int32x2_t*)&ab_re1)[0],((int32x2_t*)&ab_re1)[1]));
  cim = vcombine_s32(vpadd_s32(((int32x2_t*)&ab_im0)[0],((int32x2_t*)&ab_im0)[1]),
		     vpadd_s32(((int32x2_t*)&ab_im1)[0],((int32x2_t*)&ab_im1)[1]));
341
342
343
  return(cpack(cre,cim));

}
344
345

#endif
346
347
348
349
350
351
352
353
354
355
356

static int16_t W0s[8]__attribute__((aligned(16))) = {32767,0,32767,0,32767,0,32767,0};

static int16_t W13s[8]__attribute__((aligned(16))) = {-16384,-28378,-16384,-28378,-16384,-28378,-16384,-28378};
static int16_t W23s[8]__attribute__((aligned(16))) = {-16384,28378,-16384,28378,-16384,28378,-16384,28378};

static int16_t W15s[8]__attribute__((aligned(16))) = {10126,-31163,10126,-31163,10126,-31163,10126,-31163};
static int16_t W25s[8]__attribute__((aligned(16))) = {-26509,-19260,-26509,-19260,-26509,-19260,-26509,-19260};
static int16_t W35s[8]__attribute__((aligned(16))) = {-26510,19260,-26510,19260,-26510,19260,-26510,19260};
static int16_t W45s[8]__attribute__((aligned(16))) = {10126,31163,10126,31163,10126,31163,10126,31163};

357
#if defined(__x86_64__) || defined(__i386__)
358
359
360
361
362
363
364
__m128i *W0 = (__m128i *)W0s;
__m128i *W13 = (__m128i *)W13s;
__m128i *W23 = (__m128i *)W23s;
__m128i *W15 = (__m128i *)W15s;
__m128i *W25 = (__m128i *)W25s;
__m128i *W35 = (__m128i *)W35s;
__m128i *W45 = (__m128i *)W45s;
365
366
367
368
369
370
371
372
373
#elif defined(__arm__)
int16x8_t *W0  = (int16x8_t *)W0s;
int16x8_t *W13 = (int16x8_t *)W13s;
int16x8_t *W23 = (int16x8_t *)W23s;
int16x8_t *W15 = (int16x8_t *)W15s;
int16x8_t *W25 = (int16x8_t *)W25s;
int16x8_t *W35 = (int16x8_t *)W35s;
int16x8_t *W45 = (int16x8_t *)W45s;
#endif
374
static int16_t dft_norm_table[16] = {9459,  //12
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
                                     6689,//24
                                     5461,//36
                                     4729,//48
                                     4230,//60
                                     23170,//72
                                     3344,//96
                                     3153,//108
                                     2991,//120
                                     18918,//sqrt(3),//144
                                     18918,//sqrt(3),//180
                                     16384,//2, //192
                                     18918,//sqrt(3), // 216
                                     16384,//2, //240
                                     18918,//sqrt(3), // 288
                                     14654
                                    }; //sqrt(5) //300
391
392


393
#if defined(__x86_64__) || defined(__i386__)
394
395
static inline void bfly2(__m128i *x0, __m128i *x1,__m128i *y0, __m128i *y1,__m128i *tw)__attribute__((always_inline));

396
397
static inline void bfly2(__m128i *x0, __m128i *x1,__m128i *y0, __m128i *y1,__m128i *tw)
{
398
399
400
401
402
403
404
405
406
407
408
409

  __m128i x0r_2,x0i_2,x1r_2,x1i_2,dy0r,dy1r,dy0i,dy1i;
  __m128i bfly2_tmp1,bfly2_tmp2;

  cmult(*(x0),*(W0),&x0r_2,&x0i_2);
  cmult(*(x1),*(tw),&x1r_2,&x1i_2);

  dy0r = _mm_srai_epi32(_mm_add_epi32(x0r_2,x1r_2),15);
  dy1r = _mm_srai_epi32(_mm_sub_epi32(x0r_2,x1r_2),15);
  dy0i = _mm_srai_epi32(_mm_add_epi32(x0i_2,x1i_2),15);
  //  printf("y0i %d\n",((int16_t *)y0i)[0]);
  dy1i = _mm_srai_epi32(_mm_sub_epi32(x0i_2,x1i_2),15);
410

411
412
413
414
415
416
417
418
419
  bfly2_tmp1 = _mm_unpacklo_epi32(dy0r,dy0i);
  bfly2_tmp2 = _mm_unpackhi_epi32(dy0r,dy0i);
  *y0 = _mm_packs_epi32(bfly2_tmp1,bfly2_tmp2);

  bfly2_tmp1 = _mm_unpacklo_epi32(dy1r,dy1i);
  bfly2_tmp2 = _mm_unpackhi_epi32(dy1r,dy1i);
  *y1 = _mm_packs_epi32(bfly2_tmp1,bfly2_tmp2);
}

420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
#elif defined(__arm__)

static inline void bfly2(int16x8_t *x0, int16x8_t *x1,int16x8_t *y0, int16x8_t *y1,int16x8_t *tw)__attribute__((always_inline));

static inline void bfly2(int16x8_t *x0, int16x8_t *x1,int16x8_t *y0, int16x8_t *y1,int16x8_t *tw)
{

  int32x4_t x0r_2,x0i_2,x1r_2,x1i_2,dy0r,dy1r,dy0i,dy1i;

  cmult(*(x0),*(W0),&x0r_2,&x0i_2);
  cmult(*(x1),*(tw),&x1r_2,&x1i_2);

  dy0r = vqaddq_s32(x0r_2,x1r_2);
  dy1r = vqsubq_s32(x0r_2,x1r_2);
  dy0i = vqaddq_s32(x0i_2,x1i_2);
  dy1i = vqsubq_s32(x0i_2,x1i_2);

  *y0 = cpack(dy0r,dy0i);
  *y1 = cpack(dy1r,dy1i);
}


#endif

#if defined(__x86_64__) || defined(__i386__)
445
446
static inline void bfly2_tw1(__m128i *x0, __m128i *x1, __m128i *y0, __m128i *y1)__attribute__((always_inline));

447
448
static inline void bfly2_tw1(__m128i *x0, __m128i *x1, __m128i *y0, __m128i *y1)
{
449
450
451
452
453
454

  *y0  = _mm_adds_epi16(*x0,*x1);
  *y1  = _mm_subs_epi16(*x0,*x1);

}

455
456
457
458
459
460
461
462
463
464
465
466
467
468
#elif defined(__arm__)

static inline void bfly2_tw1(int16x8_t *x0, int16x8_t *x1, int16x8_t *y0, int16x8_t *y1)__attribute__((always_inline));

static inline void bfly2_tw1(int16x8_t *x0, int16x8_t *x1, int16x8_t *y0, int16x8_t *y1)
{

  *y0  = vqaddq_s16(*x0,*x1);
  *y1  = vqsubq_s16(*x0,*x1);

}
#endif

#if defined(__x86_64__) || defined(__i386__)
469
470
static inline void bfly2_16(__m128i *x0, __m128i *x1, __m128i *y0, __m128i *y1, __m128i *tw, __m128i *twb)__attribute__((always_inline));

471
472
static inline void bfly2_16(__m128i *x0, __m128i *x1, __m128i *y0, __m128i *y1, __m128i *tw, __m128i *twb)
{
473
474
475
476

  register __m128i x1t;

  x1t = packed_cmult2(*(x1),*(tw),*(twb));
477

478
479
480
481
482
483
  *y0  = _mm_adds_epi16(*x0,x1t);
  *y1  = _mm_subs_epi16(*x0,x1t);

}


484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
#elif defined(__arm__)

static inline void bfly2_16(int16x8_t *x0, int16x8_t *x1, int16x8_t *y0, int16x8_t *y1, int16x8_t *tw, int16x8_t *twb)__attribute__((always_inline));

static inline void bfly2_16(int16x8_t *x0, int16x8_t *x1, int16x8_t *y0, int16x8_t *y1, int16x8_t *tw, int16x8_t *twb)
{

  register int16x8_t x1t;

  x1t = packed_cmult2(*(x1),*(tw),*(twb));

  *y0  = vqaddq_s16(*x0,x1t);
  *y1  = vqsubq_s16(*x0,x1t);

}

#endif

#if defined(__x86_64__) || defined(__i386__)
503
504
static inline void ibfly2(__m128i *x0, __m128i *x1,__m128i *y0, __m128i *y1,__m128i *tw)__attribute__((always_inline));

505
506
static inline void ibfly2(__m128i *x0, __m128i *x1,__m128i *y0, __m128i *y1,__m128i *tw)
{
507
508
509
510
511
512
513
514
515
516
517
518

  __m128i x0r_2,x0i_2,x1r_2,x1i_2,dy0r,dy1r,dy0i,dy1i;
  __m128i bfly2_tmp1,bfly2_tmp2;

  cmultc(*(x0),*(W0),&x0r_2,&x0i_2);
  cmultc(*(x1),*(tw),&x1r_2,&x1i_2);

  dy0r = _mm_srai_epi32(_mm_add_epi32(x0r_2,x1r_2),15);
  dy1r = _mm_srai_epi32(_mm_sub_epi32(x0r_2,x1r_2),15);
  dy0i = _mm_srai_epi32(_mm_add_epi32(x0i_2,x1i_2),15);
  //  printf("y0i %d\n",((int16_t *)y0i)[0]);
  dy1i = _mm_srai_epi32(_mm_sub_epi32(x0i_2,x1i_2),15);
519

520
521
522
523
524
525
526
527
  bfly2_tmp1 = _mm_unpacklo_epi32(dy0r,dy0i);
  bfly2_tmp2 = _mm_unpackhi_epi32(dy0r,dy0i);
  *y0 = _mm_packs_epi32(bfly2_tmp1,bfly2_tmp2);

  bfly2_tmp1 = _mm_unpacklo_epi32(dy1r,dy1i);
  bfly2_tmp2 = _mm_unpackhi_epi32(dy1r,dy1i);
  *y1 = _mm_packs_epi32(bfly2_tmp1,bfly2_tmp2);
}
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
#elif defined(__arm__)
static inline void ibfly2(int16x8_t *x0, int16x8_t *x1,int16x8_t *y0, int16x8_t *y1,int16x8_t *tw)
{

  int32x4_t x0r_2,x0i_2,x1r_2,x1i_2,dy0r,dy1r,dy0i,dy1i;

  cmultc(*(x0),*(W0),&x0r_2,&x0i_2);
  cmultc(*(x1),*(tw),&x1r_2,&x1i_2);

  dy0r = vqaddq_s32(x0r_2,x1r_2);
  dy1r = vqsubq_s32(x0r_2,x1r_2);
  dy0i = vqaddq_s32(x0i_2,x1i_2);
  dy1i = vqsubq_s32(x0i_2,x1i_2);

  *y0 = cpack(dy0r,dy0i);
  *y1 = cpack(dy1r,dy1i);

}

#endif

549
550
551
552



// This is the radix-3 butterfly (fft)
553
554
555

#if defined(__x86_64__) || defined(__i386__)

556
static inline void bfly3(__m128i *x0,__m128i *x1,__m128i *x2,
557
558
                         __m128i *y0,__m128i *y1,__m128i *y2,
                         __m128i *tw1,__m128i *tw2) __attribute__((always_inline));
559
560

static inline void bfly3(__m128i *x0,__m128i *x1,__m128i *x2,
561
562
563
                         __m128i *y0,__m128i *y1,__m128i *y2,
                         __m128i *tw1,__m128i *tw2)
{
564
565
566

  __m128i tmpre,tmpim,x1_2,x2_2;

567
568
569
570
571
572
  packed_cmult(*(x1),*(tw1),&x1_2);
  packed_cmult(*(x2),*(tw2),&x2_2);
  *(y0)  = _mm_adds_epi16(*(x0),_mm_adds_epi16(x1_2,x2_2));
  cmult(x1_2,*(W13),&tmpre,&tmpim);
  cmac(x2_2,*(W23),&tmpre,&tmpim);
  *(y1) = cpack(tmpre,tmpim);
573
  *(y1) = _mm_adds_epi16(*(x0),*(y1));
574
575
576
  cmult(x1_2,*(W23),&tmpre,&tmpim);
  cmac(x2_2,*(W13),&tmpre,&tmpim);
  *(y2) = cpack(tmpre,tmpim);
577
578
579
  *(y2) = _mm_adds_epi16(*(x0),*(y2));
}

580
581
582
583
584
585
586
587
588
589
590
591
592
593
594
595
596
597
598
599
600
601
602
603
604
605
606
607
608
#elif defined(__arm__)
static inline void bfly3(int16x8_t *x0,int16x8_t *x1,int16x8_t *x2,
                         int16x8_t *y0,int16x8_t *y1,int16x8_t *y2,
                         int16x8_t *tw1,int16x8_t *tw2) __attribute__((always_inline));

static inline void bfly3(int16x8_t *x0,int16x8_t *x1,int16x8_t *x2,
                         int16x8_t *y0,int16x8_t *y1,int16x8_t *y2,
                         int16x8_t *tw1,int16x8_t *tw2)
{

  int32x4_t tmpre,tmpim;
  int16x8_t x1_2,x2_2;

  packed_cmult(*(x1),*(tw1),&x1_2);
  packed_cmult(*(x2),*(tw2),&x2_2);
  *(y0)  = vqaddq_s16(*(x0),vqaddq_s16(x1_2,x2_2));
  cmult(x1_2,*(W13),&tmpre,&tmpim);
  cmac(x2_2,*(W23),&tmpre,&tmpim);
  *(y1) = cpack(tmpre,tmpim);
  *(y1) = vqaddq_s16(*(x0),*(y1));
  cmult(x1_2,*(W23),&tmpre,&tmpim);
  cmac(x2_2,*(W13),&tmpre,&tmpim);
  *(y2) = cpack(tmpre,tmpim);
  *(y2) = vqaddq_s16(*(x0),*(y2));
}

#endif

#if defined(__x86_64__) || defined(__i386__)
609
610
611
612
613
614
615
616
617
618
619
620
621
622
623
624
625
626
627
628
629
630
631
632
static inline void ibfly3(__m128i *x0,__m128i *x1,__m128i *x2,
			  __m128i *y0,__m128i *y1,__m128i *y2,
			  __m128i *tw1,__m128i *tw2) __attribute__((always_inline));

static inline void ibfly3(__m128i *x0,__m128i *x1,__m128i *x2,
			  __m128i *y0,__m128i *y1,__m128i *y2,
			  __m128i *tw1,__m128i *tw2)
{

  __m128i tmpre,tmpim,x1_2,x2_2;

  packed_cmultc(*(x1),*(tw1),&x1_2);
  packed_cmultc(*(x2),*(tw2),&x2_2);
  *(y0)  = _mm_adds_epi16(*(x0),_mm_adds_epi16(x1_2,x2_2));
  cmultc(x1_2,*(W13),&tmpre,&tmpim);
  cmacc(x2_2,*(W23),&tmpre,&tmpim);
  *(y1) = cpack(tmpre,tmpim);
  *(y1) = _mm_adds_epi16(*(x0),*(y1));
  cmultc(x1_2,*(W23),&tmpre,&tmpim);
  cmacc(x2_2,*(W13),&tmpre,&tmpim);
  *(y2) = cpack(tmpre,tmpim);
  *(y2) = _mm_adds_epi16(*(x0),*(y2));
}

633
634
635
636
637
638
639
640
641
642
643
644
645
646
647
648
649
650
651
652
653
654
655
656
657
658
659
660
#elif defined(__arm__)
static inline void ibfly3(int16x8_t *x0,int16x8_t *x1,int16x8_t *x2,
			  int16x8_t *y0,int16x8_t *y1,int16x8_t *y2,
			  int16x8_t *tw1,int16x8_t *tw2) __attribute__((always_inline));

static inline void ibfly3(int16x8_t *x0,int16x8_t *x1,int16x8_t *x2,
			  int16x8_t *y0,int16x8_t *y1,int16x8_t *y2,
			  int16x8_t *tw1,int16x8_t *tw2)
{

  int32x4_t tmpre,tmpim;
  int16x8_t x1_2,x2_2;

  packed_cmultc(*(x1),*(tw1),&x1_2);
  packed_cmultc(*(x2),*(tw2),&x2_2);
  *(y0)  = vqaddq_s16(*(x0),vqaddq_s16(x1_2,x2_2));
  cmultc(x1_2,*(W13),&tmpre,&tmpim);
  cmacc(x2_2,*(W23),&tmpre,&tmpim);
  *(y1) = cpack(tmpre,tmpim);
  *(y1) = vqaddq_s16(*(x0),*(y1));
  cmultc(x1_2,*(W23),&tmpre,&tmpim);
  cmacc(x2_2,*(W13),&tmpre,&tmpim);
  *(y2) = cpack(tmpre,tmpim);
  *(y2) = vqaddq_s16(*(x0),*(y2));
}
#endif

#if defined(__x86_64__) || defined(__i386__)
661
static inline void bfly3_tw1(__m128i *x0,__m128i *x1,__m128i *x2,
662
                             __m128i *y0,__m128i *y1,__m128i *y2) __attribute__((always_inline));
663
664

static inline void bfly3_tw1(__m128i *x0,__m128i *x1,__m128i *x2,
665
666
                             __m128i *y0,__m128i *y1,__m128i *y2)
{
667
668
669

  __m128i tmpre,tmpim;

670
671
672
673
  *(y0) = _mm_adds_epi16(*(x0),_mm_adds_epi16(*(x1),*(x2)));
  cmult(*(x1),*(W13),&tmpre,&tmpim);
  cmac(*(x2),*(W23),&tmpre,&tmpim);
  *(y1) = cpack(tmpre,tmpim);
674
  *(y1) = _mm_adds_epi16(*(x0),*(y1));
675
676
677
  cmult(*(x1),*(W23),&tmpre,&tmpim);
  cmac(*(x2),*(W13),&tmpre,&tmpim);
  *(y2) = cpack(tmpre,tmpim);
678
679
  *(y2) = _mm_adds_epi16(*(x0),*(y2));
}
680
681
682
683
684
685
686
687
688
689
690
691
692
693
694
695
696
697
698
699
700
#elif defined(__arm__)
static inline void bfly3_tw1(int16x8_t *x0,int16x8_t *x1,int16x8_t *x2,
                             int16x8_t *y0,int16x8_t *y1,int16x8_t *y2) __attribute__((always_inline));

static inline void bfly3_tw1(int16x8_t *x0,int16x8_t *x1,int16x8_t *x2,
                             int16x8_t *y0,int16x8_t *y1,int16x8_t *y2)
{

  int32x4_t tmpre,tmpim;

  *(y0) = vqaddq_s16(*(x0),vqaddq_s16(*(x1),*(x2)));
  cmult(*(x1),*(W13),&tmpre,&tmpim);
  cmac(*(x2),*(W23),&tmpre,&tmpim);
  *(y1) = cpack(tmpre,tmpim);
  *(y1) = vqaddq_s16(*(x0),*(y1));
  cmult(*(x1),*(W23),&tmpre,&tmpim);
  cmac(*(x2),*(W13),&tmpre,&tmpim);
  *(y2) = cpack(tmpre,tmpim);
  *(y2) = vqaddq_s16(*(x0),*(y2));

}
701

702
#endif
703

704
#if defined(__x86_64__) || defined(__i386__)
705
static inline void bfly4(__m128i *x0,__m128i *x1,__m128i *x2,__m128i *x3,
706
707
                         __m128i *y0,__m128i *y1,__m128i *y2,__m128i *y3,
                         __m128i *tw1,__m128i *tw2,__m128i *tw3)__attribute__((always_inline));
708
709

static inline void bfly4(__m128i *x0,__m128i *x1,__m128i *x2,__m128i *x3,
710
711
712
                         __m128i *y0,__m128i *y1,__m128i *y2,__m128i *y3,
                         __m128i *tw1,__m128i *tw2,__m128i *tw3)
{
713
714
715

  __m128i x1r_2,x1i_2,x2r_2,x2i_2,x3r_2,x3i_2,dy0r,dy0i,dy1r,dy1i,dy2r,dy2i,dy3r,dy3i;

716
  //  cmult(*(x0),*(W0),&x0r_2,&x0i_2);
717
718
719
720
721
722
723
724
725
726
727
728
729
730
731
732
733
734
735
736
737
738
739
740
741
742
743
744
745
  cmult(*(x1),*(tw1),&x1r_2,&x1i_2);
  cmult(*(x2),*(tw2),&x2r_2,&x2i_2);
  cmult(*(x3),*(tw3),&x3r_2,&x3i_2);
  //  dy0r = _mm_add_epi32(x0r_2,_mm_add_epi32(x1r_2,_mm_add_epi32(x2r_2,x3r_2)));
  //  dy0i = _mm_add_epi32(x0i_2,_mm_add_epi32(x1i_2,_mm_add_epi32(x2i_2,x3i_2)));
  //  *(y0)  = cpack(dy0r,dy0i);
  dy0r = _mm_add_epi32(x1r_2,_mm_add_epi32(x2r_2,x3r_2));
  dy0i = _mm_add_epi32(x1i_2,_mm_add_epi32(x2i_2,x3i_2));
  *(y0)  = _mm_add_epi16(*(x0),cpack(dy0r,dy0i));
  //  dy1r = _mm_add_epi32(x0r_2,_mm_sub_epi32(x1i_2,_mm_add_epi32(x2r_2,x3i_2)));
  //  dy1i = _mm_sub_epi32(x0i_2,_mm_add_epi32(x1r_2,_mm_sub_epi32(x2i_2,x3r_2)));
  //  *(y1)  = cpack(dy1r,dy1i);
  dy1r = _mm_sub_epi32(x1i_2,_mm_add_epi32(x2r_2,x3i_2));
  dy1i = _mm_sub_epi32(_mm_sub_epi32(x3r_2,x2i_2),x1r_2);
  *(y1)  = _mm_add_epi16(*(x0),cpack(dy1r,dy1i));
  //  dy2r = _mm_sub_epi32(x0r_2,_mm_sub_epi32(x1r_2,_mm_sub_epi32(x2r_2,x3r_2)));
  //  dy2i = _mm_sub_epi32(x0i_2,_mm_sub_epi32(x1i_2,_mm_sub_epi32(x2i_2,x3i_2)));
  //  *(y2)  = cpack(dy2r,dy2i);
  dy2r = _mm_sub_epi32(_mm_sub_epi32(x2r_2,x3r_2),x1r_2);
  dy2i = _mm_sub_epi32(_mm_sub_epi32(x2i_2,x3i_2),x1i_2);
  *(y2)  = _mm_add_epi16(*(x0),cpack(dy2r,dy2i));
  //  dy3r = _mm_sub_epi32(x0r_2,_mm_add_epi32(x1i_2,_mm_sub_epi32(x2r_2,x3i_2)));
  //  dy3i = _mm_add_epi32(x0i_2,_mm_sub_epi32(x1r_2,_mm_add_epi32(x2i_2,x3r_2)));
  //  *(y3) = cpack(dy3r,dy3i);
  dy3r = _mm_sub_epi32(_mm_sub_epi32(x3i_2,x2r_2),x1i_2);
  dy3i = _mm_sub_epi32(x1r_2,_mm_add_epi32(x2i_2,x3r_2));
  *(y3) = _mm_add_epi16(*(x0),cpack(dy3r,dy3i));
}

746
747
748
749
750
751
752
753
754
755
756
757
758
759
760
761
762
763
764
765
766
767
768
769
770
771
772
773
774
775
776
777
778
779
780
781
782
783
784
785
786
787
788
789
790
#elif defined(__arm__)
static inline void bfly4(int16x8_t *x0,int16x8_t *x1,int16x8_t *x2,int16x8_t *x3,
                         int16x8_t *y0,int16x8_t *y1,int16x8_t *y2,int16x8_t *y3,
                         int16x8_t *tw1,int16x8_t *tw2,int16x8_t *tw3)__attribute__((always_inline));

static inline void bfly4(int16x8_t *x0,int16x8_t *x1,int16x8_t *x2,int16x8_t *x3,
                         int16x8_t *y0,int16x8_t *y1,int16x8_t *y2,int16x8_t *y3,
                         int16x8_t *tw1,int16x8_t *tw2,int16x8_t *tw3)
{

  int32x4_t x1r_2,x1i_2,x2r_2,x2i_2,x3r_2,x3i_2,dy0r,dy0i,dy1r,dy1i,dy2r,dy2i,dy3r,dy3i;

  //  cmult(*(x0),*(W0),&x0r_2,&x0i_2);
  cmult(*(x1),*(tw1),&x1r_2,&x1i_2);
  cmult(*(x2),*(tw2),&x2r_2,&x2i_2);
  cmult(*(x3),*(tw3),&x3r_2,&x3i_2);
  //  dy0r = _mm_add_epi32(x0r_2,_mm_add_epi32(x1r_2,_mm_add_epi32(x2r_2,x3r_2)));
  //  dy0i = _mm_add_epi32(x0i_2,_mm_add_epi32(x1i_2,_mm_add_epi32(x2i_2,x3i_2)));
  //  *(y0)  = cpack(dy0r,dy0i);
  dy0r = vqaddq_s32(x1r_2,vqaddq_s32(x2r_2,x3r_2));
  dy0i = vqaddq_s32(x1i_2,vqaddq_s32(x2i_2,x3i_2));
  *(y0)  = vqaddq_s16(*(x0),cpack(dy0r,dy0i));
  //  dy1r = _mm_add_epi32(x0r_2,_mm_sub_epi32(x1i_2,_mm_add_epi32(x2r_2,x3i_2)));
  //  dy1i = _mm_sub_epi32(x0i_2,_mm_add_epi32(x1r_2,_mm_sub_epi32(x2i_2,x3r_2)));
  //  *(y1)  = cpack(dy1r,dy1i);
  dy1r = vqsubq_s32(x1i_2,vqaddq_s32(x2r_2,x3i_2));
  dy1i = vqsubq_s32(vqsubq_s32(x3r_2,x2i_2),x1r_2);
  *(y1)  = vqaddq_s16(*(x0),cpack(dy1r,dy1i));
  //  dy2r = _mm_sub_epi32(x0r_2,_mm_sub_epi32(x1r_2,_mm_sub_epi32(x2r_2,x3r_2)));
  //  dy2i = _mm_sub_epi32(x0i_2,_mm_sub_epi32(x1i_2,_mm_sub_epi32(x2i_2,x3i_2)));
  //  *(y2)  = cpack(dy2r,dy2i);
  dy2r = vqsubq_s32(vqsubq_s32(x2r_2,x3r_2),x1r_2);
  dy2i = vqsubq_s32(vqsubq_s32(x2i_2,x3i_2),x1i_2);
  *(y2)  = vqaddq_s16(*(x0),cpack(dy2r,dy2i));
  //  dy3r = _mm_sub_epi32(x0r_2,_mm_add_epi32(x1i_2,_mm_sub_epi32(x2r_2,x3i_2)));
  //  dy3i = _mm_add_epi32(x0i_2,_mm_sub_epi32(x1r_2,_mm_add_epi32(x2i_2,x3r_2)));
  //  *(y3) = cpack(dy3r,dy3i);
  dy3r = vqsubq_s32(vqsubq_s32(x3i_2,x2r_2),x1i_2);
  dy3i = vqsubq_s32(x1r_2,vqaddq_s32(x2i_2,x3r_2));
  *(y3) = vqaddq_s16(*(x0),cpack(dy3r,dy3i));
}

#endif

#if defined(__x86_64__) || defined(__i386__)
791
static inline void ibfly4(__m128i *x0,__m128i *x1,__m128i *x2,__m128i *x3,
792
793
794
                          __m128i *y0,__m128i *y1,__m128i *y2,__m128i *y3,
                          __m128i *tw1,__m128i *tw2,__m128i *tw3)__attribute__((always_inline));

795
static inline void ibfly4(__m128i *x0,__m128i *x1,__m128i *x2,__m128i *x3,
796
797
798
                          __m128i *y0,__m128i *y1,__m128i *y2,__m128i *y3,
                          __m128i *tw1,__m128i *tw2,__m128i *tw3)
{
799
800
801

  __m128i x1r_2,x1i_2,x2r_2,x2i_2,x3r_2,x3i_2,dy0r,dy0i,dy1r,dy1i,dy2r,dy2i,dy3r,dy3i;

802

803
804
805
  cmultc(*(x1),*(tw1),&x1r_2,&x1i_2);
  cmultc(*(x2),*(tw2),&x2r_2,&x2i_2);
  cmultc(*(x3),*(tw3),&x3r_2,&x3i_2);
806

807
808
809
810
811
812
813
814
815
816
817
818
819
820
  dy0r = _mm_add_epi32(x1r_2,_mm_add_epi32(x2r_2,x3r_2));
  dy0i = _mm_add_epi32(x1i_2,_mm_add_epi32(x2i_2,x3i_2));
  *(y0)  = _mm_add_epi16(*(x0),cpack(dy0r,dy0i));
  dy3r = _mm_sub_epi32(x1i_2,_mm_add_epi32(x2r_2,x3i_2));
  dy3i = _mm_sub_epi32(_mm_sub_epi32(x3r_2,x2i_2),x1r_2);
  *(y3)  = _mm_add_epi16(*(x0),cpack(dy3r,dy3i));
  dy2r = _mm_sub_epi32(_mm_sub_epi32(x2r_2,x3r_2),x1r_2);
  dy2i = _mm_sub_epi32(_mm_sub_epi32(x2i_2,x3i_2),x1i_2);
  *(y2)  = _mm_add_epi16(*(x0),cpack(dy2r,dy2i));
  dy1r = _mm_sub_epi32(_mm_sub_epi32(x3i_2,x2r_2),x1i_2);
  dy1i = _mm_sub_epi32(x1r_2,_mm_add_epi32(x2i_2,x3r_2));
  *(y1) = _mm_add_epi16(*(x0),cpack(dy1r,dy1i));
}

821
822
823
824
825
826
827
828
829
830
831
832
833
834
835
836
837
838
839
840
841
842
843
844
845
846
847
848
849
850
851
852
853
854
855
#elif defined(__arm__)

static inline void ibfly4(int16x8_t *x0,int16x8_t *x1,int16x8_t *x2,int16x8_t *x3,
                          int16x8_t *y0,int16x8_t *y1,int16x8_t *y2,int16x8_t *y3,
                          int16x8_t *tw1,int16x8_t *tw2,int16x8_t *tw3)__attribute__((always_inline));

static inline void ibfly4(int16x8_t *x0,int16x8_t *x1,int16x8_t *x2,int16x8_t *x3,
                          int16x8_t *y0,int16x8_t *y1,int16x8_t *y2,int16x8_t *y3,
                          int16x8_t *tw1,int16x8_t *tw2,int16x8_t *tw3)
{

  int32x4_t x1r_2,x1i_2,x2r_2,x2i_2,x3r_2,x3i_2,dy0r,dy0i,dy1r,dy1i,dy2r,dy2i,dy3r,dy3i;


  cmultc(*(x1),*(tw1),&x1r_2,&x1i_2);
  cmultc(*(x2),*(tw2),&x2r_2,&x2i_2);
  cmultc(*(x3),*(tw3),&x3r_2,&x3i_2);

  dy0r  = vqaddq_s32(x1r_2,vqaddq_s32(x2r_2,x3r_2));
  dy0i  = vqaddq_s32(x1i_2,vqaddq_s32(x2i_2,x3i_2));
  *(y0) = vqaddq_s16(*(x0),cpack(dy0r,dy0i));
  dy3r  = vqsubq_s32(x1i_2,vqaddq_s32(x2r_2,x3i_2));
  dy3i  = vqsubq_s32(vqsubq_s32(x3r_2,x2i_2),x1r_2);
  *(y3) = vqaddq_s16(*(x0),cpack(dy3r,dy3i));
  dy2r  = vqsubq_s32(vqsubq_s32(x2r_2,x3r_2),x1r_2);
  dy2i  = vqsubq_s32(vqsubq_s32(x2i_2,x3i_2),x1i_2);
  *(y2) = vqaddq_s16(*(x0),cpack(dy2r,dy2i));
  dy1r  = vqsubq_s32(vqsubq_s32(x3i_2,x2r_2),x1i_2);
  dy1i  = vqsubq_s32(x1r_2,vqaddq_s32(x2i_2,x3r_2));
  *(y1) = vqaddq_s16(*(x0),cpack(dy1r,dy1i));
}

#endif

#if defined(__x86_64__) || defined(__i386__)
856
857

static inline void bfly4_tw1(__m128i *x0,__m128i *x1,__m128i *x2,__m128i *x3,
858
                             __m128i *y0,__m128i *y1,__m128i *y2,__m128i *y3)__attribute__((always_inline));
859
860

static inline void bfly4_tw1(__m128i *x0,__m128i *x1,__m128i *x2,__m128i *x3,
861
862
                             __m128i *y0,__m128i *y1,__m128i *y2,__m128i *y3)
{
863
864
865
866
867
868
869
870
871
872
873
874
875
876
877
  register __m128i x1_flip,x3_flip,x02t,x13t;
  register __m128i complex_shuffle = _mm_set_epi8(13,12,15,14,9,8,11,10,5,4,7,6,1,0,3,2);

  x02t    = _mm_adds_epi16(*(x0),*(x2));
  x13t    = _mm_adds_epi16(*(x1),*(x3));
  *(y0)   = _mm_adds_epi16(x02t,x13t);
  *(y2)   = _mm_subs_epi16(x02t,x13t);
  x1_flip = _mm_sign_epi16(*(x1),*(__m128i*)conjugatedft);
  x1_flip = _mm_shuffle_epi8(x1_flip,complex_shuffle);
  x3_flip = _mm_sign_epi16(*(x3),*(__m128i*)conjugatedft);
  x3_flip = _mm_shuffle_epi8(x3_flip,complex_shuffle);
  x02t    = _mm_subs_epi16(*(x0),*(x2));
  x13t    = _mm_subs_epi16(x1_flip,x3_flip);
  *(y1)   = _mm_adds_epi16(x02t,x13t);  // x0 + x1f - x2 - x3f
  *(y3)   = _mm_subs_epi16(x02t,x13t);  // x0 - x1f - x2 + x3f
878

879
  /*
880
  *(y0) = _mm_adds_epi16(*(x0),_mm_adds_epi16(*(x1),_mm_adds_epi16(*(x2),*(x3))));
881
  x1_flip = _mm_sign_epi16(*(x1),*(__m128i*)conjugatedft);
knopp's avatar
   
knopp committed
882
  x1_flip = _mm_shuffle_epi8(x1_flip,_mm_set_epi8(13,12,15,14,9,8,11,10,5,4,7,6,1,0,3,2));
883
  x3_flip = _mm_sign_epi16(*(x3),*(__m128i*)conjugatedft);
knopp's avatar
   
knopp committed
884
  x3_flip = _mm_shuffle_epi8(x3_flip,_mm_set_epi8(13,12,15,14,9,8,11,10,5,4,7,6,1,0,3,2));
885
886
887
  *(y1)   = _mm_adds_epi16(*(x0),_mm_subs_epi16(x1_flip,_mm_adds_epi16(*(x2),x3_flip)));
  *(y2)   = _mm_subs_epi16(*(x0),_mm_subs_epi16(*(x1),_mm_subs_epi16(*(x2),*(x3))));
  *(y3)   = _mm_subs_epi16(*(x0),_mm_adds_epi16(x1_flip,_mm_subs_epi16(*(x2),x3_flip)));
888
  */
889
890
}

891
892
893
894
895
896
897
898
899
900
901
902
903
904
905
906
907
908
909
910
911
912
913
#elif defined(__arm__)

static inline void bfly4_tw1(int16x8_t *x0,int16x8_t *x1,int16x8_t *x2,int16x8_t *x3,
                             int16x8_t *y0,int16x8_t *y1,int16x8_t *y2,int16x8_t *y3)__attribute__((always_inline));

static inline void bfly4_tw1(int16x8_t *x0,int16x8_t *x1,int16x8_t *x2,int16x8_t *x3,
                             int16x8_t *y0,int16x8_t *y1,int16x8_t *y2,int16x8_t *y3)
{

  register int16x8_t x1_flip,x3_flip;

  *(y0) = vqaddq_s16(*(x0),vqaddq_s16(*(x1),vqaddq_s16(*(x2),*(x3))));
  x1_flip = vrev32q_s16(vmulq_s16(*(x1),*(int16x8_t*)conjugatedft));
  x3_flip = vrev32q_s16(vmulq_s16(*(x3),*(int16x8_t*)conjugatedft));
  *(y1)   = vqaddq_s16(*(x0),vqsubq_s16(x1_flip,vqaddq_s16(*(x2),x3_flip)));
  *(y2)   = vqsubq_s16(*(x0),vqsubq_s16(*(x1),vqsubq_s16(*(x2),*(x3))));
  *(y3)   = vqsubq_s16(*(x0),vqaddq_s16(x1_flip,vqsubq_s16(*(x2),x3_flip)));
}

#endif

#if defined(__x86_64__) || defined(__i386__)

914
static inline void ibfly4_tw1(__m128i *x0,__m128i *x1,__m128i *x2,__m128i *x3,
915
                              __m128i *y0,__m128i *y1,__m128i *y2,__m128i *y3)__attribute__((always_inline));
916
917

static inline void ibfly4_tw1(__m128i *x0,__m128i *x1,__m128i *x2,__m128i *x3,
918
919
920
                              __m128i *y0,__m128i *y1,__m128i *y2,__m128i *y3)
{

921
922
  register __m128i x1_flip,x3_flip;

923
  *(y0) = _mm_adds_epi16(*(x0),_mm_adds_epi16(*(x1),_mm_adds_epi16(*(x2),*(x3))));
924
925

  x1_flip = _mm_sign_epi16(*(x1),*(__m128i*)conjugatedft);
knopp's avatar
   
knopp committed
926
927
928
  //  x1_flip = _mm_shufflelo_epi16(x1_flip,_MM_SHUFFLE(2,3,0,1));
  //  x1_flip = _mm_shufflehi_epi16(x1_flip,_MM_SHUFFLE(2,3,0,1));
  x1_flip = _mm_shuffle_epi8(x1_flip,_mm_set_epi8(13,12,15,14,9,8,11,10,5,4,7,6,1,0,3,2));
929
  x3_flip = _mm_sign_epi16(*(x3),*(__m128i*)conjugatedft);
knopp's avatar
   
knopp committed
930
931
932
  //  x3_flip = _mm_shufflelo_epi16(x3_flip,_MM_SHUFFLE(2,3,0,1));
  //  x3_flip = _mm_shufflehi_epi16(x3_flip,_MM_SHUFFLE(2,3,0,1));
  x3_flip = _mm_shuffle_epi8(x3_flip,_mm_set_epi8(13,12,15,14,9,8,11,10,5,4,7,6,1,0,3,2));
933
934
935
936
937
  *(y1)   = _mm_subs_epi16(*(x0),_mm_adds_epi16(x1_flip,_mm_subs_epi16(*(x2),x3_flip)));
  *(y2)   = _mm_subs_epi16(*(x0),_mm_subs_epi16(*(x1),_mm_subs_epi16(*(x2),*(x3))));
  *(y3)   = _mm_adds_epi16(*(x0),_mm_subs_epi16(x1_flip,_mm_adds_epi16(*(x2),x3_flip)));
}

938
939
940
941
942
943
944
945
946
947
948
949
950
951
952
953
954
955
956
957
958
959

#elif defined(__arm__)
static inline void ibfly4_tw1(int16x8_t *x0,int16x8_t *x1,int16x8_t *x2,int16x8_t *x3,
			      int16x8_t *y0,int16x8_t *y1,int16x8_t *y2,int16x8_t *y3)__attribute__((always_inline));

static inline void ibfly4_tw1(int16x8_t *x0,int16x8_t *x1,int16x8_t *x2,int16x8_t *x3,
			      int16x8_t *y0,int16x8_t *y1,int16x8_t *y2,int16x8_t *y3)
{

  register int16x8_t x1_flip,x3_flip;

  *(y0) = vqaddq_s16(*(x0),vqaddq_s16(*(x1),vqaddq_s16(*(x2),*(x3))));
  x1_flip = vrev32q_s16(vmulq_s16(*(x1),*(int16x8_t*)conjugatedft));
  x3_flip = vrev32q_s16(vmulq_s16(*(x3),*(int16x8_t*)conjugatedft));
  *(y1)   = vqsubq_s16(*(x0),vqaddq_s16(x1_flip,vqsubq_s16(*(x2),x3_flip)));
  *(y2)   = vqsubq_s16(*(x0),vqsubq_s16(*(x1),vqsubq_s16(*(x2),*(x3))));
  *(y3)   = vqaddq_s16(*(x0),vqsubq_s16(x1_flip,vqaddq_s16(*(x2),x3_flip)));
}

#endif

#if defined(__x86_64__) || defined(__i386__)
960
static inline void bfly4_16(__m128i *x0,__m128i *x1,__m128i *x2,__m128i *x3,
961
962
963
                            __m128i *y0,__m128i *y1,__m128i *y2,__m128i *y3,
                            __m128i *tw1,__m128i *tw2,__m128i *tw3,
                            __m128i *tw1b,__m128i *tw2b,__m128i *tw3b)__attribute__((always_inline));
964
965

static inline void bfly4_16(__m128i *x0,__m128i *x1,__m128i *x2,__m128i *x3,
966
967
968
969
                            __m128i *y0,__m128i *y1,__m128i *y2,__m128i *y3,
                            __m128i *tw1,__m128i *tw2,__m128i *tw3,
                            __m128i *tw1b,__m128i *tw2b,__m128i *tw3b)
{
970
971
972
973
974
975
976
977
978
979
980
981
982

  register __m128i x1t,x2t,x3t,x02t,x13t;
  register __m128i x1_flip,x3_flip;

  x1t = packed_cmult2(*(x1),*(tw1),*(tw1b));
  x2t = packed_cmult2(*(x2),*(tw2),*(tw2b));
  x3t = packed_cmult2(*(x3),*(tw3),*(tw3b));


  //  bfly4_tw1(x0,&x1t,&x2t,&x3t,y0,y1,y2,y3);
  x02t  = _mm_adds_epi16(*(x0),x2t);
  x13t  = _mm_adds_epi16(x1t,x3t);
  /*
983
  *(y0) = _mm_adds_epi16(*(x0),_mm_adds_epi16(x1t,_mm_adds_epi16(x2t,x3t)));
984
985
986
987
988
989
  *(y2)   = _mm_subs_epi16(*(x0),_mm_subs_epi16(x1t,_mm_subs_epi16(x2t,x3t)));
  */
  *(y0)   = _mm_adds_epi16(x02t,x13t);
  *(y2)   = _mm_subs_epi16(x02t,x13t);

  x1_flip = _mm_sign_epi16(x1t,*(__m128i*)conjugatedft);
knopp's avatar
   
knopp committed
990
991
992
  //  x1_flip = _mm_shufflelo_epi16(x1_flip,_MM_SHUFFLE(2,3,0,1));
  //  x1_flip = _mm_shufflehi_epi16(x1_flip,_MM_SHUFFLE(2,3,0,1));
  x1_flip = _mm_shuffle_epi8(x1_flip,_mm_set_epi8(13,12,15,14,9,8,11,10,5,4,7,6,1,0,3,2));
993
  x3_flip = _mm_sign_epi16(x3t,*(__m128i*)conjugatedft);
knopp's avatar
   
knopp committed
994
995
996
  //  x3_flip = _mm_shufflelo_epi16(x3_flip,_MM_SHUFFLE(2,3,0,1));
  //  x3_flip = _mm_shufflehi_epi16(x3_flip,_MM_SHUFFLE(2,3,0,1));
  x3_flip = _mm_shuffle_epi8(x3_flip,_mm_set_epi8(13,12,15,14,9,8,11,10,5,4,7,6,1,0,3,2));
997
998
999
1000
1001
1002
1003
1004
1005
1006
1007
  x02t  = _mm_subs_epi16(*(x0),x2t);
  x13t  = _mm_subs_epi16(x1_flip,x3_flip);
  /*
  *(y1)   = _mm_adds_epi16(*(x0),_mm_subs_epi16(x1_flip,_mm_adds_epi16(x2t,x3_flip)));  // x0 + x1f - x2 - x3f
  *(y3)   = _mm_subs_epi16(*(x0),_mm_adds_epi16(x1_flip,_mm_subs_epi16(x2t,x3_flip)));  // x0 - x1f - x2 + x3f
  */
  *(y1)   = _mm_adds_epi16(x02t,x13t);  // x0 + x1f - x2 - x3f
  *(y3)   = _mm_subs_epi16(x02t,x13t);  // x0 - x1f - x2 + x3f

}

1008
1009
1010
1011
1012
1013
1014
1015
1016
1017
1018
1019
1020
1021
1022
1023
1024
1025
1026
1027
1028
1029
1030
1031
1032
1033
1034
1035
1036
1037
1038
1039
1040
1041
1042
1043
#elif defined(__arm__)

static inline void bfly4_16(int16x8_t *x0,int16x8_t *x1,int16x8_t *x2,int16x8_t *x3,
                            int16x8_t *y0,int16x8_t *y1,int16x8_t *y2,int16x8_t *y3,
                            int16x8_t *tw1,int16x8_t *tw2,int16x8_t *tw3,
                            int16x8_t *tw1b,int16x8_t *tw2b,int16x8_t *tw3b)__attribute__((always_inline));

static inline void bfly4_16(int16x8_t *x0,int16x8_t *x1,int16x8_t *x2,int16x8_t *x3,
                            int16x8_t *y0,int16x8_t *y1,int16x8_t *y2,int16x8_t *y3,
                            int16x8_t *tw1,int16x8_t *tw2,int16x8_t *tw3,
                            int16x8_t *tw1b,int16x8_t *tw2b,int16x8_t *tw3b)
{

  register int16x8_t x1t,x2t,x3t,x02t,x13t;
  register int16x8_t x1_flip,x3_flip;

  x1t = packed_cmult2(*(x1),*(tw1),*(tw1b));
  x2t = packed_cmult2(*(x2),*(tw2),*(tw2b));
  x3t = packed_cmult2(*(x3),*(tw3),*(tw3b));



  x02t  = vqaddq_s16(*(x0),x2t);
  x13t  = vqaddq_s16(x1t,x3t);
  *(y0)   = vqaddq_s16(x02t,x13t);
  *(y2)   = vqsubq_s16(x02t,x13t);
  x1_flip = vrev32q_s16(vmulq_s16(x1t,*(int16x8_t*)conjugatedft));
  x3_flip = vrev32q_s16(vmulq_s16(x3t,*(int16x8_t*)conjugatedft));
  x02t  = vqsubq_s16(*(x0),x2t);
  x13t  = vqsubq_s16(x1_flip,x3_flip);
  *(y1)   = vqaddq_s16(x02t,x13t);  // x0 + x1f - x2 - x3f
  *(y3)   = vqsubq_s16(x02t,x13t);  // x0 - x1f - x2 + x3f
}
#endif

#if defined(__x86_64__) || defined(__i386__)
1044
static inline void ibfly4_16(__m128i *x0,__m128i *x1,__m128i *x2,__m128i *x3,
1045
1046
1047
                             __m128i *y0,__m128i *y1,__m128i *y2,__m128i *y3,
                             __m128i *tw1,__m128i *tw2,__m128i *tw3,
                             __m128i *tw1b,__m128i *tw2b,__m128i *tw3b)__attribute__((always_inline));
1048
1049

static inline void ibfly4_16(__m128i *x0,__m128i *x1,__m128i *x2,__m128i *x3,
1050
1051
1052
1053
1054
                             __m128i *y0,__m128i *y1,__m128i *y2,__m128i *y3,
                             __m128i *tw1,__m128i *tw2,__m128i *tw3,
                             __m128i *tw1b,__m128i *tw2b,__m128i *tw3b)
{

1055
1056
1057
1058
1059
1060
1061
1062
1063
1064
1065
1066
  register __m128i x1t,x2t,x3t,x02t,x13t;
  register __m128i x1_flip,x3_flip;

  x1t = packed_cmult2(*(x1),*(tw1),*(tw1b));
  x2t = packed_cmult2(*(x2),*(tw2),*(tw2b));
  x3t = packed_cmult2(*(x3),*(tw3),*(tw3b));


  //  bfly4_tw1(x0,&x1t,&x2t,&x3t,y0,y1,y2,y3);
  x02t  = _mm_adds_epi16(*(x0),x2t);
  x13t  = _mm_adds_epi16(x1t,x3t);
  /*
1067
  *(y0) = _mm_adds_epi16(*(x0),_mm_adds_epi16(x1t,_mm_adds_epi16(x2t,x3t)));
1068
1069
1070
1071
1072
1073
  *(y2)   = _mm_subs_epi16(*(x0),_mm_subs_epi16(x1t,_mm_subs_epi16(x2t,x3t)));
  */
  *(y0)   = _mm_adds_epi16(x02t,x13t);
  *(y2)   = _mm_subs_epi16(x02t,x13t);

  x1_flip = _mm_sign_epi16(x1t,*(__m128i*)conjugatedft);
knopp's avatar
   
knopp committed
1074
1075
1076
  //  x1_flip = _mm_shufflelo_epi16(x1_flip,_MM_SHUFFLE(2,3,0,1));
  //  x1_flip = _mm_shufflehi_epi16(x1_flip,_MM_SHUFFLE(2,3,0,1));
  x1_flip = _mm_shuffle_epi8(x1_flip,_mm_set_epi8(13,12,15,14,9,8,11,10,5,4,7,6,1,0,3,2));
1077
  x3_flip = _mm_sign_epi16(x3t,*(__m128i*)conjugatedft);
knopp's avatar
   
knopp committed
1078
1079
1080
  //  x3_flip = _mm_shufflelo_epi16(x3_flip,_MM_SHUFFLE(2,3,0,1));
  //  x3_flip = _mm_shufflehi_epi16(x3_flip,_MM_SHUFFLE(2,3,0,1));
  x3_flip = _mm_shuffle_epi8(x3_flip,_mm_set_epi8(13,12,15,14,9,8,11,10,5,4,7,6,1,0,3,2));
1081
1082
1083
1084
1085
1086
1087
1088
1089
1090
1091
  x02t  = _mm_subs_epi16(*(x0),x2t);
  x13t  = _mm_subs_epi16(x1_flip,x3_flip);
  /*
  *(y1)   = _mm_adds_epi16(*(x0),_mm_subs_epi16(x1_flip,_mm_adds_epi16(x2t,x3_flip)));  // x0 + x1f - x2 - x3f
  *(y3)   = _mm_subs_epi16(*(x0),_mm_adds_epi16(x1_flip,_mm_subs_epi16(x2t,x3_flip)));  // x0 - x1f - x2 + x3f
  */
  *(y3)   = _mm_adds_epi16(x02t,x13t);  // x0 + x1f - x2 - x3f
  *(y1)   = _mm_subs_epi16(x02t,x13t);  // x0 - x1f - x2 + x3f

}

1092
1093
1094
1095
1096
1097
1098
1099
1100
1101
1102
1103
1104
1105
1106
1107
1108
1109
1110
1111
1112
1113
1114
1115
1116
1117
1118
1119
1120
1121
1122
1123
1124
1125
#elif defined(__arm__)
static inline void ibfly4_16(int16x8_t *x0,int16x8_t *x1,int16x8_t *x2,int16x8_t *x3,
			     int16x8_t *y0,int16x8_t *y1,int16x8_t *y2,int16x8_t *y3,
			     int16x8_t *tw1,int16x8_t *tw2,int16x8_t *tw3,
			     int16x8_t *tw1b,int16x8_t *tw2b,int16x8_t *tw3b)__attribute__((always_inline));

static inline void ibfly4_16(int16x8_t *x0,int16x8_t *x1,int16x8_t *x2,int16x8_t *x3,
			     int16x8_t *y0,int16x8_t *y1,int16x8_t *y2,int16x8_t *y3,
			     int16x8_t *tw1,int16x8_t *tw2,int16x8_t *tw3,
			     int16x8_t *tw1b,int16x8_t *tw2b,int16x8_t *tw3b)
{

  register int16x8_t x1t,x2t,x3t,x02t,x13t;
  register int16x8_t x1_flip,x3_flip;

  x1t = packed_cmult2(*(x1),*(tw1),*(tw1b));
  x2t = packed_cmult2(*(x2),*(tw2),*(tw2b));
  x3t = packed_cmult2(*(x3),*(tw3),*(tw3b));

  x02t    = vqaddq_s16(*(x0),x2t);
  x13t    = vqaddq_s16(x1t,x3t);
  *(y0)   = vqaddq_s16(x02t,x13t);
  *(y2)   = vqsubq_s16(x02t,x13t);
  x1_flip = vrev32q_s16(vmulq_s16(x1t,*(int16x8_t*)conjugatedft));
  x3_flip = vrev32q_s16(vmulq_s16(x3t,*(int16x8_t*)conjugatedft));
  x02t    = vqsubq_s16(*(x0),x2t);
  x13t    = vqsubq_s16(x1_flip,x3_flip);
  *(y3)   = vqaddq_s16(x02t,x13t);  // x0 - x1f - x2 + x3f
  *(y1)   = vqsubq_s16(x02t,x13t);  // x0 + x1f - x2 - x3f
}

#endif

#if defined(__x86_64__) || defined(__i386__)
1126
static inline void bfly5(__m128i *x0, __m128i *x1, __m128i *x2, __m128i *x3,__m128i *x4,
1127
1128
                         __m128i *y0, __m128i *y1, __m128i *y2, __m128i *y3,__m128i *y4,
                         __m128i *tw1,__m128i *tw2,__m128i *tw3,__m128i *tw4)__attribute__((always_inline));
1129
1130

static inline void bfly5(__m128i *x0, __m128i *x1, __m128i *x2, __m128i *x3,__m128i *x4,
1131
1132
1133
                         __m128i *y0, __m128i *y1, __m128i *y2, __m128i *y3,__m128i *y4,
                         __m128i *tw1,__m128i *tw2,__m128i *tw3,__m128i *tw4)
{
1134
1135
1136
1137
1138
1139
1140
1141
1142
1143
1144



  __m128i x1_2,x2_2,x3_2,x4_2,tmpre,tmpim;

  packed_cmult(*(x1),*(tw1),&x1_2);
  packed_cmult(*(x2),*(tw2),&x2_2);
  packed_cmult(*(x3),*(tw3),&x3_2);
  packed_cmult(*(x4),*(tw4),&x4_2);

  *(y0)  = _mm_adds_epi16(*(x0),_mm_adds_epi16(x1_2,_mm_adds_epi16(x2_2,_mm_adds_epi16(x3_2,x4_2))));
1145
1146
1147
1148
1149
  cmult(x1_2,*(W15),&tmpre,&tmpim);
  cmac(x2_2,*(W25),&tmpre,&tmpim);
  cmac(x3_2,*(W35),&tmpre,&tmpim);
  cmac(x4_2,*(W45),&tmpre,&tmpim);
  *(y1) = cpack(tmpre,tmpim);
1150
1151
  *(y1) = _mm_adds_epi16(*(x0),*(y1));

1152
1153
1154
1155
1156
  cmult(x1_2,*(W25),&tmpre,&tmpim);
  cmac(x2_2,*(W45),&tmpre,&tmpim);
  cmac(x3_2,*(W15),&tmpre,&tmpim);
  cmac(x4_2,*(W35),&tmpre,&tmpim);
  *(y2) = cpack(tmpre,tmpim);
1157
1158
  *(y2) = _mm_adds_epi16(*(x0),*(y2));

1159
1160
1161
1162
1163
  cmult(x1_2,*(W35),&tmpre,&tmpim);
  cmac(x2_2,*(W15),&tmpre,&tmpim);
  cmac(x3_2,*(W45),&tmpre,&tmpim);
  cmac(x4_2,*(W25),&tmpre,&tmpim);
  *(y3) = cpack(tmpre,tmpim);
1164
1165
  *(y3) = _mm_adds_epi16(*(x0),*(y3));

1166
1167
1168
1169
1170
  cmult(x1_2,*(W45),&tmpre,&tmpim);
  cmac(x2_2,*(W35),&tmpre,&tmpim);
  cmac(x3_2,*(W25),&tmpre,&tmpim);
  cmac(x4_2,*(W15),&tmpre,&tmpim);
  *(y4) = cpack(tmpre,tmpim);
1171
1172
1173
  *(y4) = _mm_adds_epi16(*(x0),*(y4));


1174
1175
1176
1177
1178
1179
1180
1181
1182
1183
1184
1185
1186
1187
1188
1189
1190
1191
1192
1193
1194
1195
1196
1197
1198
1199
1200
1201
1202
1203
1204
1205
1206
1207
1208
1209
1210
1211
1212
1213
1214
1215
1216
1217
1218
1219
1220
1221
1222
1223
1224
1225
}

#elif defined(__arm__)
static inline void bfly5(int16x8_t *x0, int16x8_t *x1, int16x8_t *x2, int16x8_t *x3,int16x8_t *x4,
                         int16x8_t *y0, int16x8_t *y1, int16x8_t *y2, int16x8_t *y3,int16x8_t *y4,
                         int16x8_t *tw1,int16x8_t *tw2,int16x8_t *tw3,int16x8_t *tw4)__attribute__((always_inline));

static inline void bfly5(int16x8_t *x0, int16x8_t *x1, int16x8_t *x2, int16x8_t *x3,int16x8_t *x4,
                         int16x8_t *y0, int16x8_t *y1, int16x8_t *y2, int16x8_t *y3,int16x8_t *y4,
                         int16x8_t *tw1,int16x8_t *tw2,int16x8_t *tw3,int16x8_t *tw4)
{



  int16x8_t x1_2,x2_2,x3_2,x4_2;
  int32x4_t tmpre,tmpim;

  packed_cmult(*(x1),*(tw1),&x1_2);
  packed_cmult(*(x2),*(tw2),&x2_2);
  packed_cmult(*(x3),*(tw3),&x3_2);
  packed_cmult(*(x4),*(tw4),&x4_2);

  *(y0)  = vqaddq_s16(*(x0),vqaddq_s16(x1_2,vqaddq_s16(x2_2,vqaddq_s16(x3_2,x4_2))));
  cmult(x1_2,*(W15),&tmpre,&tmpim);
  cmac(x2_2,*(W25),&tmpre,&tmpim);
  cmac(x3_2,*(W35),&tmpre,&tmpim);
  cmac(x4_2,*(W45),&tmpre,&tmpim);
  *(y1) = cpack(tmpre,tmpim);
  *(y1) = vqaddq_s16(*(x0),*(y1));

  cmult(x1_2,*(W25),&tmpre,&tmpim);
  cmac(x2_2,*(W45),&tmpre,&tmpim);
  cmac(x3_2,*(W15),&tmpre,&tmpim);
  cmac(x4_2,*(W35),&tmpre,&tmpim);
  *(y2) = cpack(tmpre,tmpim);
  *(y2) = vqaddq_s16(*(x0),*(y2));

  cmult(x1_2,*(W35),&tmpre,&tmpim);
  cmac(x2_2,*(W15),&tmpre,&tmpim);
  cmac(x3_2,*(W45),&tmpre,&tmpim);
  cmac(x4_2,*(W25),&tmpre,&tmpim);
  *(y3) = cpack(tmpre,tmpim);
  *(y3) = vqaddq_s16(*(x0),*(y3));

  cmult(x1_2,*(W45),&tmpre,&tmpim);
  cmac(x2_2,*(W35),&tmpre,&tmpim);
  cmac(x3_2,*(W25),&tmpre,&tmpim);
  cmac(x4_2,*(W15),&tmpre,&tmpim);
  *(y4) = cpack(tmpre,tmpim);
  *(y4) = vqaddq_s16(*(x0),*(y4));


1226
}
1227
1228


1229
#endif
1230

1231
#if defined(__x86_64__) || defined(__i386__)
1232
static inline void bfly5_tw1(__m128i *x0, __m128i *x1, __m128i *x2, __m128i *x3,__m128i *x4,
1233
                             __m128i *y0, __m128i *y1, __m128i *y2, __m128i *y3,__m128i *y4) __attribute__((always_inline));
1234
1235

static inline void bfly5_tw1(__m128i *x0, __m128i *x1, __m128i *x2, __m128i *x3,__m128i *x4,
1236
1237
                             __m128i *y0, __m128i *y1, __m128i *y2, __m128i *y3,__m128i *y4)
{
1238
1239
1240

  __m128i tmpre,tmpim;

1241
1242
1243
1244
1245
1246
  *(y0) = _mm_adds_epi16(*(x0),_mm_adds_epi16(*(x1),_mm_adds_epi16(*(x2),_mm_adds_epi16(*(x3),*(x4)))));
  cmult(*(x1),*(W15),&tmpre,&tmpim);
  cmac(*(x2),*(W25),&tmpre,&tmpim);
  cmac(*(x3),*(W35),&tmpre,&tmpim);
  cmac(*(x4),*(W45),&tmpre,&tmpim);
  *(y1) = cpack(tmpre,tmpim);
1247
  *(y1) = _mm_adds_epi16(*(x0),*(y1));
1248
1249
1250
1251
1252
  cmult(*(x1),*(W25),&tmpre,&tmpim);
  cmac(*(x2),*(W45),&tmpre,&tmpim);
  cmac(*(x3),*(W15),&tmpre,&tmpim);
  cmac(*(x4),*(W35),&tmpre,&tmpim);
  *(y2) = cpack(tmpre,tmpim);
1253
  *(y2) = _mm_adds_epi16(*(x0),*(y2));
1254
1255
1256
1257
1258
  cmult(*(x1),*(W35),&tmpre,&tmpim);
  cmac(*(x2),*(W15),&tmpre,&tmpim);
  cmac(*(x3),*(W45),&tmpre,&tmpim);
  cmac(*(x4),*(W25),&tmpre,&tmpim);
  *(y3) = cpack(tmpre,tmpim);
1259
  *(y3) = _mm_adds_epi16(*(x0),*(y3));
1260
1261
1262
1263
1264
  cmult(*(x1),*(W45),&tmpre,&tmpim);
  cmac(*(x2),*(W35),&tmpre,&tmpim);
  cmac(*(x3),*(W25),&tmpre,&tmpim);
  cmac(*(x4),*(W15),&tmpre,&tmpim);
  *(y4) = cpack(tmpre,tmpim);
1265
1266
1267
  *(y4) = _mm_adds_epi16(*(x0),*(y4));
}

1268
1269
1270
1271
1272
1273
1274
1275
1276
1277
1278
1279
1280
1281
1282
1283
1284
1285
1286
1287
1288
1289
1290
1291
1292
1293
1294
1295
1296
1297
1298
1299
1300
1301
1302
1303
1304
1305
#elif defined(__arm__)
static inline void bfly5_tw1(int16x8_t *x0, int16x8_t *x1, int16x8_t *x2, int16x8_t *x3,int16x8_t *x4,
                             int16x8_t *y0, int16x8_t *y1, int16x8_t *y2, int16x8_t *y3,int16x8_t *y4) __attribute__((always_inline));

static inline void bfly5_tw1(int16x8_t *x0, int16x8_t *x1, int16x8_t *x2, int16x8_t *x3,int16x8_t *x4,
                             int16x8_t *y0, int16x8_t *y1, int16x8_t *y2, int16x8_t *y3,int16x8_t *y4)
{

  int32x4_t tmpre,tmpim;

  *(y0) = vqaddq_s16(*(x0),vqaddq_s16(*(x1),vqaddq_s16(*(x2),vqaddq_s16(*(x3),*(x4)))));
  cmult(*(x1),*(W15),&tmpre,&tmpim);
  cmac(*(x2),*(W25),&tmpre,&tmpim);
  cmac(*(x3),*(W35),&tmpre,&tmpim);
  cmac(*(x4),*(W45),&tmpre,&tmpim);
  *(y1) = cpack(tmpre,tmpim);
  *(y1) = vqaddq_s16(*(x0),*(y1));
  cmult(*(x1),*(W25),&tmpre,&tmpim);
  cmac(*(x2),*(W45),&tmpre,&tmpim);
  cmac(*(x3),*(W15),&tmpre,&tmpim);
  cmac(*(x4),*(W35),&tmpre,&tmpim);
  *(y2) = cpack(tmpre,tmpim);
  *(y2) = vqaddq_s16(*(x0),*(y2));
  cmult(*(x1),*(W35),&tmpre,&tmpim);
  cmac(*(x2),*(W15),&tmpre,&tmpim);
  cmac(*(x3),*(W45),&tmpre,&tmpim);
  cmac(*(x4),*(W25),&tmpre,&tmpim);
  *(y3) = cpack(tmpre,tmpim);
  *(y3) = vqaddq_s16(*(x0),*(y3));
  cmult(*(x1),*(W45),&tmpre,&tmpim);
  cmac(*(x2),*(W35),&tmpre,&tmpim);
  cmac(*(x3),*(W25),&tmpre,&tmpim);
  cmac(*(x4),*(W15),&tmpre,&tmpim);
  *(y4) = cpack(tmpre,tmpim);
  *(y4) = vqaddq_s16(*(x0),*(y4));
}

#endif
1306
1307
1308
// performs 4x4 transpose of input x (complex interleaved) using 128bit SIMD intrinsics
// i.e. x = [x0r x0i x1r x1i ... x15r x15i], y = [x0r x0i x4r x4i x8r x8i x12r x12i x1r x1i x5r x5i x9r x9i x13r x13i x2r x2i ... x15r x15i]

1309
#if defined(__x86_64__) || defined(__i386__)
1310
static inline void transpose16(__m128i *x,__m128i *y) __attribute__((always_inline));
1311
1312
static inline void transpose16(__m128i *x,__m128i *y)
{
1313
1314
1315
1316
1317
1318
1319
1320
1321
1322
1323
1324
  register __m128i ytmp0,ytmp1,ytmp2,ytmp3;

  ytmp0 = _mm_unpacklo_epi32(x[0],x[1]);
  ytmp1 = _mm_unpackhi_epi32(x[0],x[1]);
  ytmp2 = _mm_unpacklo_epi32(x[2],x[3]);
  ytmp3 = _mm_unpackhi_epi32(x[2],x[3]);
  y[0]    = _mm_unpacklo_epi64(ytmp0,ytmp2);
  y[1]    = _mm_unpackhi_epi64(ytmp0,ytmp2);
  y[2]    = _mm_unpacklo_epi64(ytmp1,ytmp3);
  y[3]    = _mm_unpackhi_epi64(ytmp1,ytmp3);
}

1325
1326
1327
1328
1329
1330
1331
1332
1333
1334
1335
1336
1337
1338
1339
1340
#elif defined(__arm__)
static inline void transpose16(int16x8_t *x,int16x8_t *y) __attribute__((always_inline));
static inline void transpose16(int16x8_t *x,int16x8_t *y)
{
  register uint32x4x2_t ytmp0,ytmp1;

  ytmp0 = vtrnq_u32((uint32x4_t)(x[0]),(uint32x4_t)(x[1]));
  ytmp1 = vtrnq_u32((uint32x4_t)(x[2]),(uint32x4_t)(x[3]));

  y[0]  = vcombine_s16(vget_low_s16((int16x8_t)ytmp0.val[0]),vget_low_s16((int16x8_t)ytmp1.val[0]));
  y[1]  = vcombine_s16(vget_high_s16((int16x8_t)ytmp0.val[0]),vget_high_s16((int16x8_t)ytmp1.val[0]));
  y[2]  = vcombine_s16(vget_low_s16((int16x8_t)ytmp0.val[1]),vget_low_s16((int16x8_t)ytmp1.val[1]));
  y[3]  = vcombine_s16(vget_high_s16((int16x8_t)ytmp0.val[1]),vget_high_s16((int16x8_t)ytmp1.val[1]));
}

# endif
1341
// same as above but output is offset by off
1342
#if defined(__x86_64__) || defined(__i386__)
1343
1344
static inline void transpose16_ooff(__m128i *x,__m128i *y,int off) __attribute__((always_inline));

1345
1346
static inline void transpose16_ooff(__m128i *x,__m128i *y,int off)
{
1347
1348
1349
1350
1351
1352
1353
  register __m128i ytmp0,ytmp1,ytmp2,ytmp3;
  __m128i *y2=y;

  ytmp0 = _mm_unpacklo_epi32(x[0],x[1]);
  ytmp1 = _mm_unpackhi_epi32(x[0],x[1]);
  ytmp2 = _mm_unpacklo_epi32(x[2],x[3]);
  ytmp3 = _mm_unpackhi_epi32(x[2],x[3]);
1354
1355
1356
1357
1358
1359
  *y2     = _mm_unpacklo_epi64(ytmp0,ytmp2);
  y2+=off;
  *y2     = _mm_unpackhi_epi64(ytmp0,ytmp2);
  y2+=off;
  *y2     = _mm_unpacklo_epi64(ytmp1,ytmp3);
  y2+=off;
1360
1361
1362
  *y2     = _mm_unpackhi_epi64(ytmp1,ytmp3);
}

1363
1364
1365
1366
1367
1368
1369
1370
1371
1372
1373
1374
1375
1376
1377
1378
1379
1380
1381
1382
1383
1384
1385
#elif defined(__arm__)
static inline void transpose16_ooff(int16x8_t *x,int16x8_t *y,int off) __attribute__((always_inline));

static inline void transpose16_ooff(int16x8_t *x,int16x8_t *y,int off)
{
  int16x8_t *y2=y;
  register uint32x4x2_t ytmp0,ytmp1;

  ytmp0 = vtrnq_u32((uint32x4_t)(x[0]),(uint32x4_t)(x[1]));
  ytmp1 = vtrnq_u32((uint32x4_t)(x[2]),(uint32x4_t)(x[3]));

  *y2   = (int16x8_t)vcombine_s16(vget_low_s16((int16x8_t)ytmp0.val[0]),vget_low_s16((int16x8_t)ytmp1.val[0])); y2+=off;
  *y2   = (int16x8_t)vcombine_s16(vget_low_s16((int16x8_t)ytmp0.val[1]),vget_low_s16((int16x8_t)ytmp1.val[1])); y2+=off;
  *y2   = (int16x8_t)vcombine_s16(vget_high_s16((int16x8_t)ytmp0.val[0]),vget_high_s16((int16x8_t)ytmp1.val[0])); y2+=off;
  *y2   = (int16x8_t)vcombine_s16(vget_high_s16((int16x8_t)ytmp0.val[1]),vget_high_s16((int16x8_t)ytmp1.val[1]));


}

#endif

#if defined(__x86_64__) || defined(__i386__)

1386
static inline void transpose4_ooff(__m64 *x,__m64 *y,int off)__attribute__((always_inline));
1387
1388
static inline void transpose4_ooff(__m64 *x,__m64 *y,int off)
{
1389
1390
1391
  y[0]   = _mm_unpacklo_pi32(x[0],x[1]);
  y[off] = _mm_unpackhi_pi32(x[0],x[1]);
}
1392
1393
1394
1395
1396
1397
1398
1399
1400
1401
1402
1403
#elif (__arm__)

static inline void transpose4_ooff(int16x4_t *x,int16x4_t *y,int off)__attribute__((always_inline));
static inline void transpose4_ooff(int16x4_t *x,int16x4_t *y,int off)
{
  uint32x2x2_t ytmp = vtrn_u32((uint32x2_t)x[0],(uint32x2_t)x[1]);

  y[0]   = (int16x4_t)ytmp.val[0];
  y[off] = (int16x4_t)ytmp.val[1];
}

#endif
1404
1405
1406
1407

// 16-point optimized DFT kernel

int16_t tw16[24] __attribute__((aligned(16))) = { 32767,0,30272,-12540,23169 ,-23170,12539 ,-30273,
1408
1409
1410
                                                  32767,0,23169,-23170,0     ,-32767,-23170,-23170,
                                                  32767,0,12539,-30273,-23170,-23170,-30273,12539
                                                };
1411
1412

int16_t tw16a[24] __attribute__((aligned(16))) = {32767,0,30272,12540,23169 ,23170,12539 ,30273,
1413
1414
1415
                                                  32767,0,23169,23170,0     ,32767,-23170,23170,
                                                  32767,0,12539,30273,-23170,23170,-30273,-12539
                                                 };
1416
1417

int16_t tw16b[24] __attribute__((aligned(16))) = { 0,32767,-12540,30272,-23170,23169 ,-30273,12539,
1418
1419
1420
                                                   0,32767,-23170,23169,-32767,0     ,-23170,-23170,
                                                   0,32767,-30273,12539,-23170,-23170,12539 ,-30273
                                                 };
1421
1422

int16_t tw16c[24] __attribute__((aligned(16))) = { 0,32767,12540,30272,23170,23169 ,30273 ,12539,
1423
1424
1425
                                                   0,32767,23170,23169,32767,0     ,23170 ,-23170,
                                                   0,32767,30273,12539,23170,-23170,-12539,-30273
                                                 };
1426

1427
1428


1429
1430
static inline void dft16(int16_t *x,int16_t *y) __attribute__((always_inline));

1431
1432
static inline void dft16(int16_t *x,int16_t *y)
{
1433

1434
1435
#if defined(__x86_64__) || defined(__i386__)

knopp's avatar
   
knopp committed
1436
  __m128i *tw16a_128=(__m128i *)tw16a,*tw16b_128=(__m128i *)tw16b,*x128=(__m128i *)x,*y128=(__m128i *)y;
1437

1438
1439
1440


#ifndef AVX2
1441
1442
  /*  This is the original version before unrolling

1443
  bfly4_tw1(x128,x128+1,x128+2,x128+3,
1444
      y128,y128+1,y128+2,y128+3);
1445
1446
1447
1448

  transpose16(y128,ytmp);

  bfly4_16(ytmp,ytmp+1,ytmp+2,ytmp+3,
1449
1450
     y128,y128+1,y128+2,y128+3,
     tw16_128,tw16_128+1,tw16_128+2);
1451
1452
1453
1454
  */

  register __m128i x1_flip,x3_flip,x02t,x13t;
  register __m128i ytmp0,ytmp1,ytmp2,ytmp3,xtmp0,xtmp1,xtmp2,xtmp3;
1455
  register __m128i complex_shuffle = _mm_set_epi8(13,12,15,14,9,8,11,10,5,4,7,6,1,0,3,2);
1456
1457
1458
1459
1460
1461
1462
1463

  // First stage : 4 Radix-4 butterflies without input twiddles

  x02t    = _mm_adds_epi16(x128[0],x128[2]);
  x13t    = _mm_adds_epi16(x128[1],x128[3]);
  xtmp0   = _mm_adds_epi16(x02t,x13t);
  xtmp2   = _mm_subs_epi16(x02t,x13t);
  x1_flip = _mm_sign_epi16(x128[1],*(__m128i*)conjugatedft);
1464
  x1_flip = _mm_shuffle_epi8(x1_flip,complex_shuffle);
1465
  x3_flip = _mm_sign_epi16(x128[3],*(__m128i*)conjugatedft);
1466
  x3_flip = _mm_shuffle_epi8(x3_flip,complex_shuffle);
1467
1468
1469
1470
1471
1472
1473
1474
1475
1476
1477
1478
1479
1480
1481
1482
1483
1484
1485
1486
1487
1488
1489
1490
  x02t    = _mm_subs_epi16(x128[0],x128[2]);
  x13t    = _mm_subs_epi16(x1_flip,x3_flip);
  xtmp1   = _mm_adds_epi16(x02t,x13t);  // x0 + x1f - x2 - x3f
  xtmp3   = _mm_subs_epi16(x02t,x13t);  // x0 - x1f - x2 + x3f

  ytmp0   = _mm_unpacklo_epi32(xtmp0,xtmp1);
  ytmp1   = _mm_unpackhi_epi32(xtmp0,xtmp1);
  ytmp2   = _mm_unpacklo_epi32(xtmp2,xtmp3);
  ytmp3   = _mm_unpackhi_epi32(xtmp2,xtmp3);
  xtmp0   = _mm_unpacklo_epi64(ytmp0,ytmp2);
  xtmp1   = _mm_unpackhi_epi64(ytmp0,ytmp2);
  xtmp2   = _mm_unpacklo_epi64(ytmp1,ytmp3);
  xtmp3   = _mm_unpackhi_epi64(ytmp1,ytmp3);

  // Second stage : 4 Radix-4 butterflies with input twiddles
  xtmp1 = packed_cmult2(xtmp1,tw16a_128[0],tw16b_128[0]);
  xtmp2 = packed_cmult2(xtmp2,tw16a_128[1],tw16b_128[1]);
  xtmp3 = packed_cmult2(xtmp3,tw16a_128[2],tw16b_128[2]);

  x02t    = _mm_adds_epi16(xtmp0,xtmp2);
  x13t    = _mm_adds_epi16(xtmp1,xtmp3);
  y128[0] = _mm_adds_epi16(x02t,x13t);
  y128[2] = _mm_subs_epi16(x02t,x13t);
  x1_flip = _mm_sign_epi16(xtmp1,*(__m128i*)conjugatedft);
knopp's avatar
   
knopp committed
1491
  x1_flip = _mm_shuffle_epi8(x1_flip,_mm_set_epi8(13,12,15,14,9,8,11,10,5,4,7,6,1,0,3,2));
1492
  x3_flip = _mm_sign_epi16(xtmp3,*(__m128i*)conjugatedft);
knopp's avatar
   
knopp committed
1493
  x3_flip = _mm_shuffle_epi8(x3_flip,_mm_set_epi8(13,12,15,14,9,8,11,10,5,4,7,6,1,0,3,2));
1494
1495
1496
1497
  x02t    = _mm_subs_epi16(xtmp0,xtmp2);
  x13t    = _mm_subs_epi16(x1_flip,x3_flip);
  y128[1] = _mm_adds_epi16(x02t,x13t);  // x0 + x1f - x2 - x3f
  y128[3] = _mm_subs_epi16(x02t,x13t);  // x0 - x1f - x2 + x3f
1498

1499
1500
1501
1502
1503
1504
1505
1506
1507
1508
1509
1510
1511
1512
1513
1514
1515
1516
1517
1518
1519
1520
1521
1522
1523
#else

  //  x02t    = _mm_adds_epi16(x128[0],x128[2]);
  //  x13t    = _mm_adds_epi16(x128[1],x128[3]);

  xt      = _mm256_adds_epi16(x256[0],x256[1]);

  xtmp0   = _mm_adds_epi16(x02t,x13t);
  xtmp2   = _mm_subs_epi16(x02t,x13t);

  x13_flip
  x1_flip = _mm_sign_epi16(x128[1],*(__m128i*)conjugatedft);
  x1_flip = _mm_shuffle_epi8(x1_flip,_mm_set_epi8(13,12,15,14,9,8,11,10,5,4,7,6,1,0,3,2));
  x3_flip = _mm_sign_epi16(x128[3],*(__m128i*)conjugatedft);
  x3_flip = _mm_shuffle_epi8(x3_flip,_mm_set_epi8(13,12,15,14,9,8,11,10,5,4,7,6,1,0,3,2));

  //  x02t    = _mm_subs_epi16(x128[0],x128[2]);
  //  x13t    = _mm_subs_epi16(x1_flip,x3_flip);
  xt      = _mm256_subs_epi16(x256flip0,x256flip1);

  xtmp1   = _mm_adds_epi16(x02t,x13t);  // x0 + x1f - x2 - x3f
  xtmp3   = _mm_subs_epi16(x02t,x13t);  // x0 - x1f - x2 + x3f


#endif
1524
1525
1526
1527
1528
1529
1530
1531
1532
1533
1534
1535
1536
1537
1538

#elif defined(__arm__)

  int16x8_t *tw16a_128=(int16x8_t *)tw16a,*tw16b_128=(int16x8_t *)tw16b,*x128=(int16x8_t *)x,*y128=(int16x8_t *)y;

  /*  This is the original version before unrolling

  bfly4_tw1(x128,x128+1,x128+2,x128+3,
      y128,y128+1,y128+2,y128+3);

  transpose16(y128,ytmp);

  bfly4_16(ytmp,ytmp+1,ytmp+2,ytmp+3,
     y128,y128+1,y128+2,y128+3,
     tw16_128,tw16_128+1,tw16_128+2);
1539
  */
1540
1541
1542
1543
1544
1545
1546
1547
1548
1549
1550
1551
1552
1553
1554
1555
1556
1557
1558
1559
1560
1561
1562
1563
1564
1565
1566
1567
1568
1569
1570
1571
1572
1573
1574
1575
1576
1577
1578
1579
1580
1581
1582
1583
1584
1585
1586
1587
1588
1589
1590
1591
1592

  register int16x8_t x1_flip,x3_flip,x02t,x13t;
  register int16x8_t xtmp0,xtmp1,xtmp2,xtmp3;
  register uint32x4x2_t ytmp0,ytmp1;
  register int16x8_t ytmp0b,ytmp1b,ytmp2b,ytmp3b;

  // First stage : 4 Radix-4 butterflies without input twiddles
  
  x02t    = vqaddq_s16(x128[0],x128[2]);
  x13t    = vqaddq_s16(x128[1],x128[3]);
  xtmp0   = vqaddq_s16(x02t,x13t);
  xtmp2   = vqsubq_s16(x02t,x13t);
  x1_flip = vrev32q_s16(vmulq_s16(x128[1],*(int16x8_t*)conjugatedft));
  x3_flip = vrev32q_s16(vmulq_s16(x128[3],*(int16x8_t*)conjugatedft));
  x02t    = vqsubq_s16(x128[0],x128[2]);
  x13t    = vqsubq_s16(x1_flip,x3_flip);
  xtmp1   = vqaddq_s16(x02t,x13t);  // x0 + x1f - x2 - x3f
  xtmp3   = vqsubq_s16(x02t,x13t);  // x0 - x1f - x2 + x3f

  ytmp0  = vtrnq_u32((uint32x4_t)(xtmp0),(uint32x4_t)(xtmp1));
// y0[0] = [x00 x10 x02 x12], y0[1] = [x01 x11 x03 x13]
  ytmp1  = vtrnq_u32((uint32x4_t)(xtmp2),(uint32x4_t)(xtmp3));
// y1[0] = [x20 x30 x22 x32], y1[1] = [x21 x31 x23 x33]


  ytmp0b = vcombine_s16(vget_low_s16((int16x8_t)ytmp0.val[0]),vget_low_s16((int16x8_t)ytmp1.val[0]));
// y0 = [x00 x10 x20 x30] 
  ytmp1b = vcombine_s16(vget_low_s16((int16x8_t)ytmp0.val[1]),vget_low_s16((int16x8_t)ytmp1.val[1]));
// t1 = [x01 x11 x21 x31] 
  ytmp2b = vcombine_s16(vget_high_s16((int16x8_t)ytmp0.val[0]),vget_high_s16((int16x8_t)ytmp1.val[0]));
// t2 = [x02 x12 x22 x32]
  ytmp3b = vcombine_s16(vget_high_s16((int16x8_t)ytmp0.val[1]),vget_high_s16((int16x8_t)ytmp1.val[1]));
// t3 = [x03 x13 x23 x33]


  // Second stage : 4 Radix-4 butterflies with input twiddles
  xtmp1 = packed_cmult2(ytmp1b,tw16a_128[0],tw16b_128[0]);
  xtmp2 = packed_cmult2(ytmp2b,tw16a_128[1],tw16b_128[1]);
  xtmp3 = packed_cmult2(ytmp3b,tw16a_128[2],tw16b_128[2]);

  x02t    = vqaddq_s16(ytmp0b,xtmp2);
  x13t    = vqaddq_s16(xtmp1,xtmp3);
  y128[0] = vqaddq_s16(x02t,x13t);
  y128[2] = vqsubq_s16(x02t,x13t);
  x1_flip = vrev32q_s16(vmulq_s16(xtmp1,*(int16x8_t*)conjugatedft));
  x3_flip = vrev32q_s16(vmulq_s16(xtmp3,*(int16x8_t*)conjugatedft));
  x02t    = vqsubq_s16(ytmp0b,xtmp2);
  x13t    = vqsubq_s16(x1_flip,x3_flip);
  y128[1] = vqaddq_s16(x02t,x13t);  // x0 + x1f - x2 - x3f
  y128[3] = vqsubq_s16(x02t,x13t);  // x0 - x1f - x2 + x3f


#endif
1593
1594
1595
1596
}

static inline void idft16(int16_t *x,int16_t *y) __attribute__((always_inline));

1597
1598
static inline void idft16(int16_t *x,int16_t *y)
{
1599

1600
#if defined(__x86_64__) || defined(__i386__)
knopp's avatar
   
knopp committed
1601
  __m128i *tw16a_128=(__m128i *)tw16,*tw16b_128=(__m128i *)tw16c,*x128=(__m128i *)x,*y128=(__m128i *)y;
1602

1603
1604
  /*
  bfly4_tw1(x128,x128+1,x128+2,x128+3,
1605
      y128,y128+1,y128+2,y128+3);
1606
1607
1608
1609

  transpose16(y128,ytmp);

  bfly4_16(ytmp,ytmp+1,ytmp+2,ytmp+3,
1610
1611
     y128,y128+1,y128+2,y128+3,
     tw16_128,tw16_128+1,tw16_128+2);
1612
1613
1614
1615
1616
1617
1618
1619
1620
1621
1622
1623
  */

  register __m128i x1_flip,x3_flip,x02t,x13t;
  register __m128i ytmp0,ytmp1,ytmp2,ytmp3,xtmp0,xtmp1,xtmp2,xtmp3;

  // First stage : 4 Radix-4 butterflies without input twiddles

  x02t    = _mm_adds_epi16(x128[0],x128[2]);
  x13t    = _mm_adds_epi16(x128[1],x128[3]);
  xtmp0   = _mm_adds_epi16(x02t,x13t);
  xtmp2   = _mm_subs_epi16(x02t,x13t);
  x1_flip = _mm_sign_epi16(x128[1],*(__m128i*)conjugatedft);
knopp's avatar
   
knopp committed
1624
  x1_flip = _mm_shuffle_epi8(x1_flip,_mm_set_epi8(13,12,15,14,9,8,11,10,5,4,7,6,1,0,3,2));
1625
  x3_flip = _mm_sign_epi16(x128[3],*(__m128i*)conjugatedft);
knopp's avatar
   
knopp committed
1626
  x3_flip = _mm_shuffle_epi8(x3_flip,_mm_set_epi8(13,12,15,14,9,8,11,10,5,4,7,6,1,0,3,2));
1627
1628
1629
1630
1631
1632
1633
1634
1635
1636
1637
1638
1639
1640
1641
1642
1643
1644
1645
1646
1647
1648
1649
1650
  x02t    = _mm_subs_epi16(x128[0],x128[2]);
  x13t    = _mm_subs_epi16(x1_flip,x3_flip);
  xtmp3   = _mm_adds_epi16(x02t,x13t);  // x0 + x1f - x2 - x3f
  xtmp1   = _mm_subs_epi16(x02t,x13t);  // x0 - x1f - x2 + x3f

  ytmp0   = _mm_unpacklo_epi32(xtmp0,xtmp1);
  ytmp1   = _mm_unpackhi_epi32(xtmp0,xtmp1);
  ytmp2   = _mm_unpacklo_epi32(xtmp2,xtmp3);
  ytmp3   = _mm_unpackhi_epi32(xtmp2,xtmp3);
  xtmp0   = _mm_unpacklo_epi64(ytmp0,ytmp2);
  xtmp1   = _mm_unpackhi_epi64(ytmp0,ytmp2);
  xtmp2   = _mm_unpacklo_epi64(ytmp1,ytmp3);
  xtmp3   = _mm_unpackhi_epi64(ytmp1,ytmp3);

  // Second stage : 4 Radix-4 butterflies with input twiddles
  xtmp1 = packed_cmult2(xtmp1,tw16a_128[0],tw16b_128[0]);
  xtmp2 = packed_cmult2(xtmp2,tw16a_128[1],tw16b_128[1]);
  xtmp3 = packed_cmult2(xtmp3,tw16a_128[2],tw16b_128[2]);

  x02t    = _mm_adds_epi16(xtmp0,xtmp2);
  x13t    = _mm_adds_epi16(xtmp1,xtmp3);
  y128[0] = _mm_adds_epi16(x02t,x13t);
  y128[2] = _mm_subs_epi16(x02t,x13t);
  x1_flip = _mm_sign_epi16(xtmp1,*(__m128i*)conjugatedft);
knopp's avatar
   
knopp committed
1651
  x1_flip = _mm_shuffle_epi8(x1_flip,_mm_set_epi8(13,12,15,14,9,8,11,10,5,4,7,6,1,0,3,2));
1652
  x3_flip = _mm_sign_epi16(xtmp3,*(__m128i*)conjugatedft);
knopp's avatar
   
knopp committed
1653
  x3_flip = _mm_shuffle_epi8(x3_flip,_mm_set_epi8(13,12,15,14,9,8,11,10,5,4,7,6,1,0,3,2));
1654
1655
1656
1657
1658
  x02t    = _mm_subs_epi16(xtmp0,xtmp2);
  x13t    = _mm_subs_epi16(x1_flip,x3_flip);
  y128[3] = _mm_adds_epi16(x02t,x13t);  // x0 + x1f - x2 - x3f
  y128[1] = _mm_subs_epi16(x02t,x13t);  // x0 - x1f - x2 + x3f

1659
1660
#elif defined(__arm__)
  int16x8_t *tw16a_128=(int16x8_t *)tw16,*tw16b_128=(int16x8_t *)tw16c,*x128=(int16x8_t *)x,*y128=(int16x8_t *)y;
1661

1662
  /*  This is the original version before unrolling
1663

1664
  bfly4_tw1(x128,x128+1,x128+2,x128+3,
1665
      y128,y128+1,y128+2,y128+3);
1666
1667
1668

  transpose16(y128,ytmp);

1669
1670
1671
1672
  bfly4_16(ytmp,ytmp+1,ytmp+2,ytmp+3,
     y128,y128+1,y128+2,y128+3,
     tw16_128,tw16_128+1,tw16_128+2);
  */
1673

1674
1675
1676
1677
  register int16x8_t x1_flip,x3_flip,x02t,x13t;
  register int16x8_t xtmp0,xtmp1,xtmp2,xtmp3;
  register uint32x4x2_t ytmp0,ytmp1;
  register int16x8_t ytmp0b,ytmp1b,ytmp2b,ytmp3b;
1678

1679
  // First stage : 4 Radix-4 butterflies without input twiddles
1680

1681
1682
1683
1684
1685
1686
1687
1688
1689
1690
1691
1692
1693
1694
1695
1696
1697
1698
1699
1700
1701
1702
1703
1704
1705
  x02t    = vqaddq_s16(x128[0],x128[2]);
  x13t    = vqaddq_s16(x128[1],x128[3]);
  xtmp0   = vqaddq_s16(x02t,x13t);
  xtmp2   = vqsubq_s16(x02t,x13t);
  x1_flip = vrev32q_s16(vmulq_s16(x128[1],*(int16x8_t*)conjugatedft));
  x3_flip = vrev32q_s16(vmulq_s16(x128[3],*(int16x8_t*)conjugatedft));
  x02t    = vqsubq_s16(x128[0],x128[2]);
  x13t    = vqsubq_s16(x1_flip,x3_flip);
  xtmp3   = vqaddq_s16(x02t,x13t);  // x0 + x1f - x2 - x3f
  xtmp1   = vqsubq_s16(x02t,x13t);  // x0 - x1f - x2 + x3f

  ytmp0  = vtrnq_u32((uint32x4_t)(xtmp0),(uint32x4_t)(xtmp1));
// y0[0] = [x00 x10 x02 x12], y0[1] = [x01 x11 x03 x13]
  ytmp1  = vtrnq_u32((uint32x4_t)(xtmp2),(uint32x4_t)(xtmp3));
// y1[0] = [x20 x30 x22 x32], y1[1] = [x21 x31 x23 x33]


  ytmp0b = vcombine_s16(vget_low_s16((int16x8_t)ytmp0.val[0]),vget_low_s16((int16x8_t)ytmp1.val[0]));
// y0 = [x00 x10 x20 x30] 
  ytmp1b = vcombine_s16(vget_low_s16((int16x8_t)ytmp0.val[1]),vget_low_s16((int16x8_t)ytmp1.val[1]));
// t1 = [x01 x11 x21 x31] 
  ytmp2b = vcombine_s16(vget_high_s16((int16x8_t)ytmp0.val[0]),vget_high_s16((int16x8_t)ytmp1.val[0]));
// t2 = [x02 x12 x22 x32]
  ytmp3b = vcombine_s16(vget_high_s16((int16x8_t)ytmp0.val[1]),vget_high_s16((int16x8_t)ytmp1.val[1]));
// t3 = [x03 x13 x23 x33]
1706

1707
1708
1709
1710
1711
1712
1713
1714
1715
1716
1717
1718
1719
1720
1721
1722
1723
1724
1725
1726
1727
  // Second stage : 4 Radix-4 butterflies with input twiddles
  xtmp1 = packed_cmult2(ytmp1b,tw16a_128[0],tw16b_128[0]);
  xtmp2 = packed_cmult2(ytmp2b,tw16a_128[1],tw16b_128[1]);
  xtmp3 = packed_cmult2(ytmp3b,tw16a_128[2],tw16b_128[2]);

  x02t    = vqaddq_s16(ytmp0b,xtmp2);
  x13t    = vqaddq_s16(xtmp1,xtmp3);
  y128[0] = vqaddq_s16(x02t,x13t);
  y128[2] = vqsubq_s16(x02t,x13t);
  x1_flip = vrev32q_s16(vmulq_s16(xtmp1,*(int16x8_t*)conjugatedft));
  x3_flip = vrev32q_s16(vmulq_s16(xtmp3,*(int16x8_t*)conjugatedft));
  x02t    = vqsubq_s16(ytmp0b,xtmp2);
  x13t    = vqsubq_s16(x1_flip,x3_flip);
  y128[3] = vqaddq_s16(x02t,x13t);  // x0 + x1f - x2 - x3f
  y128[1] = vqsubq_s16(x02t,x13t);  // x0 - x1f - x2 + x3f

#endif
}


// 64-point optimized DFT
1728
1729

int16_t tw64[96] __attribute__((aligned(16))) = { 32767,0,32609,-3212,32137,-6393,31356,-9512,30272,-12540,28897,-15447,27244,-18205,25329,-20788,23169,-23170,20787,-25330,18204,-27245,15446,-28898,12539,-30273,9511,-31357,6392,-32138,3211,-32610,
1730
1731
1732
                                                  32767,0,32137,-6393,30272,-12540,27244,-18205,23169,-23170,18204,-27245,12539,-30273,6392,-32138,0,-32767,-6393,-32138,-12540,-30273,-18205,-27245,-23170,-23170,-27245,-18205,-30273,-12540,-32138,-6393,
                                                  32767,0,31356,-9512,27244,-18205,20787,-25330,12539,-30273,3211,-32610,-6393,-32138,-15447,-28898,-23170,-23170,-28898,-15447,-32138,-6393,-32610,3211,-30273,12539,-25330,20787,-18205,27244,-9512,31356
                                                };
1733
1734

int16_t tw64a[96] __attribute__((aligned(16))) = { 32767,0,32609,3212,32137,6393,31356,9512,30272,12540,28897,15447,27244,18205,25329,20788,23169,23170,20787,25330,18204,27245,15446,28898,12539,30273,9511,31357,6392,32138,3211,32610,
1735
1736
1737
                                                   32767,0,32137,6393,30272,12540,27244,18205,23169,23170,18204,27245,12539,30273,6392,32138,0,32767,-6393,32138,-12540,30273,-18205,27245,-23170,23170,-27245,18205,-30273,12540,-32138,6393,
                                                   32767,0,31356,9512,27244,18205,20787,25330,12539,30273,3211,32610,-6393,32138,-15447,28898,-23170,23170,-28898,15447,-32138,6393,-32610,-3211,-30273,-12539,-25330,-20787,-18205,-27244,-9512,-31356
                                                 };
1738
1739

int16_t tw64b[96] __attribute__((aligned(16))) = { 0,32767,-3212,32609,-6393,32137,-9512,31356,-12540,30272,-15447,28897,-18205,27244,-20788,25329,-23170,23169,-25330,20787,-27245,18204,-28898,15446,-30273,12539,-31357,9511,-32138,6392,-32610,3211,
1740
1741
1742
                                                   0,32767,-6393,32137,-12540,30272,-18205,27244,-23170,23169,-27245,18204,-30273,12539,-32138,6392,-32767,0,-32138,-6393,-30273,-12540,-27245,-18205,-23170,-23170,-18205,-27245,-12540,-30273,-6393,-32138,
                                                   0,32767,-9512,31356,-18205,27244,-25330,20787,-30273,12539,-32610,3211,-32138,-6393,-28898,-15447,-23170,-23170,-15447,-28898,-6393,-32138,3211,-32610,12539,-30273,20787,-25330,27244,-18205,31356,-9512
                                                 };
1743
1744

int16_t tw64c[96] __attribute__((aligned(16))) = { 0,32767,3212,32609,6393,32137,9512,31356,12540,30272,15447,28897,18205,27244,20788,25329,23170,23169,25330,20787,27245,18204,28898,15446,30273,12539,31357,9511,32138,6392,32610,3211,
1745
1746
1747
                                                   0,32767,6393,32137,12540,30272,18205,27244,23170,23169,27245,18204,30273,12539,32138,6392,32767,0,32138,-6393,30273,-12540,27245,-18205,23170,-23170,18205,-27245,12540,-30273,6393,-32138,
                                                   0,32767,9512,31356,18205,27244,25330,20787,30273,12539,32610,3211,32138,-6393,28898,-15447,23170,-23170,15447,-28898,6393,-32138,-3211,-32610,-12539,-30273,-20787,-25330,-27244,-18205,-31356,-9512
                                                 };
1748
1749


1750
1751
1752
1753
1754
1755
1756
1757
1758
1759
1760
1761
1762
1763
1764
#if defined(__x86_64__) || defined(__i386__)
#define simd_q15_t __m128i
#define simdshort_q15_t __m64
#define shiftright_int16(a,shift) _mm_srai_epi16(a,shift)
#define set1_int16(a) _mm_set1_epi16(a);
#define mulhi_int16(a,b) _mm_slli_epi16(_mm_mulhi_epi16(a,b),1);
#elif defined(__arm__)
#define simd_q15_t int16x8_t
#define simdshort_q15_t int16x4_t
#define shiftright_int16(a,shift) vshrq_n_s16(a,shift)
#define set1_int16(a) vdupq_n_s16(a)
#define mulhi_int16(a,b) vqdmulhq_s16(a,b);
#define _mm_empty() 
#define _m_empty()
#endif
1765

1766
1767
void dft64(int16_t *x,int16_t *y,int scale)
{
1768

1769
  simd_q15_t xtmp[16],ytmp[16],*tw64a_128=(simd_q15_t *)tw64a,*tw64b_128=(simd_q15_t *)tw64b,*x128=(simd_q15_t *)x,*y128=(simd_q15_t *)y;
1770

1771

1772
1773
1774
1775
1776
1777
1778
1779
#ifdef D64STATS
  time_stats_t ts_t,ts_d,ts_b;

  reset_meas(&ts_t);
  reset_meas(&ts_d);
  reset_meas(&ts_b);
  start_meas(&ts_t);
#endif
1780

1781
1782
1783
1784
1785
1786

  transpose16_ooff(x128,xtmp,4);
  transpose16_ooff(x128+4,xtmp+1,4);
  transpose16_ooff(x128+8,xtmp+2,4);
  transpose16_ooff(x128+12,xtmp+3,4);

1787

1788
1789
1790
1791
#ifdef D64STATS
  stop_meas(&ts_t);
  start_meas(&ts_d);
#endif
1792

1793
1794
1795
1796
1797
1798

  dft16((int16_t*)(xtmp),(int16_t*)ytmp);
  dft16((int16_t*)(xtmp+4),(int16_t*)(ytmp+4));
  dft16((int16_t*)(xtmp+8),(int16_t*)(ytmp+8));
  dft16((int16_t*)(xtmp+12),(int16_t*)(ytmp+12));

1799

1800
1801
1802
1803
#ifdef D64STATS
  stop_meas(&ts_d);
  start_meas(&ts_b);
#endif
1804

1805
1806

  bfly4_16(ytmp,ytmp+4,ytmp+8,ytmp+12,
1807
1808
1809
           y128,y128+4,y128+8,y128+12,
           tw64a_128,tw64a_128+4,tw64a_128+8,
           tw64b_128,tw64b_128+4,tw64b_128+8);
1810
1811

  bfly4_16(ytmp+1,ytmp+5,ytmp+9,ytmp+13,
1812
1813
1814
           y128+1,y128+5,y128+9,y128+13,
           tw64a_128+1,tw64a_128+5,tw64a_128+9,
           tw64b_128+1,tw64b_128+5,tw64b_128+9);
1815
1816

  bfly4_16(ytmp+2,ytmp+6,ytmp+10,ytmp+14,
1817
1818
1819
           y128+2,y128+6,y128+10,y128+14,
           tw64a_128+2,tw64a_128+6,tw64a_128+10,
           tw64b_128+2,tw64b_128+6,tw64b_128+10);
1820
1821

  bfly4_16(ytmp+3,ytmp+7,ytmp+11,ytmp+15,
1822
1823
1824
1825
           y128+3,y128+7,y128+11,y128+15,
           tw64a_128+3,tw64a_128+7,tw64a_128+11,
           tw64b_128+3,tw64b_128+7,tw64b_128+11);

1826
1827
1828
1829
#ifdef D64STATS
  stop_meas(&ts_b);
  printf("t: %llu cycles, d: %llu cycles, b: %llu cycles\n",ts_t.diff,ts_d.diff,ts_b.diff);
#endif
1830

1831
1832

  if (scale>0) {
1833
1834
1835
1836
1837
1838
1839
1840
1841
1842
1843
1844
1845
1846
1847
1848
    y128[0]  = shiftright_int16(y128[0],3);
    y128[1]  = shiftright_int16(y128[1],3);
    y128[2]  = shiftright_int16(y128[2],3);
    y128[3]  = shiftright_int16(y128[3],3);
    y128[4]  = shiftright_int16(y128[4],3);
    y128[5]  = shiftright_int16(y128[5],3);
    y128[6]  = shiftright_int16(y128[6],3);
    y128[7]  = shiftright_int16(y128[7],3);
    y128[8]  = shiftright_int16(y128[8],3);
    y128[9]  = shiftright_int16(y128[9],3);
    y128[10] = shiftright_int16(y128[10],3);
    y128[11] = shiftright_int16(y128[11],3);
    y128[12] = shiftright_int16(y128[12],3);
    y128[13] = shiftright_int16(y128[13],3);
    y128[14] = shiftright_int16(y128[14],3);
    y128[15] = shiftright_int16(y128[15],3);
1849
  }
1850

1851
1852
1853
1854
1855
  _mm_empty();
  _m_empty();

}

1856
1857
void idft64(int16_t *x,int16_t *y,int scale)
{
1858

1859
  simd_q15_t xtmp[16],ytmp[16],*tw64a_128=(simd_q15_t *)tw64,*tw64b_128=(simd_q15_t *)tw64c,*x128=(simd_q15_t *)x,*y128=(simd_q15_t *)y;
1860

1861

1862
1863
1864
1865
1866
1867
1868
1869
#ifdef D64STATS
  time_stats_t ts_t,ts_d,ts_b;

  reset_meas(&ts_t);
  reset_meas(&ts_d);
  reset_meas(&ts_b);
  start_meas(&ts_t);
#endif
1870

1871
1872
1873
1874
1875
1876

  transpose16_ooff(x128,xtmp,4);
  transpose16_ooff(x128+4,xtmp+1,4);
  transpose16_ooff(x128+8,xtmp+2,4);
  transpose16_ooff(x128+12,xtmp+3,4);

1877

1878
1879
1880
1881
#ifdef D64STATS
  stop_meas(&ts_t);
  start_meas(&ts_d);
#endif
1882

1883
1884
1885
1886
1887
1888

  idft16((int16_t*)(xtmp),(int16_t*)ytmp);
  idft16((int16_t*)(xtmp+4),(int16_t*)(ytmp+4));
  idft16((int16_t*)(xtmp+8),(int16_t*)(ytmp+8));
  idft16((int16_t*)(xtmp+12),(int16_t*)(ytmp+12));

1889

1890
1891
1892
1893
#ifdef D64STATS
  stop_meas(&ts_d);
  start_meas(&ts_b);
#endif
1894

1895
1896

  ibfly4_16(ytmp,ytmp+4,ytmp+8,ytmp+12,
1897
1898
1899
            y128,y128+4,y128+8,y128+12,
            tw64a_128,tw64a_128+4,tw64a_128+8,
            tw64b_128,tw64b_128+4,tw64b_128+8);
1900
1901

  ibfly4_16(ytmp+1,ytmp+5,ytmp+9,ytmp+13,
1902
1903
1904
1905
            y128+1,y128+5,y128+9,y128+13,
            tw64a_128+1,tw64a_128+5,tw64a_128+9,
            tw64b_128+1,tw64b_128+5,tw64b_128+9);

Cedric Roux's avatar