1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
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
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
|
/* Function sincosf vectorized with AVX2.
Copyright (C) 2014-2018 Free Software Foundation, Inc.
This file is part of the GNU C Library.
The GNU C Library is free software; you can redistribute it and/or
modify it under the terms of the GNU Lesser General Public
License as published by the Free Software Foundation; either
version 2.1 of the License, or (at your option) any later version.
The GNU C Library 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
Lesser General Public License for more details.
You should have received a copy of the GNU Lesser General Public
License along with the GNU C Library; if not, see
<http://www.gnu.org/licenses/>. */
#include <sysdep.h>
#include "svml_s_trig_data.h"
.text
ENTRY (_ZGVdN8vl4l4_sincosf_avx2)
/*
ALGORITHM DESCRIPTION:
1) Range reduction to [-Pi/4; +Pi/4] interval
a) Grab sign from source argument and save it.
b) Remove sign using AND operation
c) Getting octant Y by 2/Pi multiplication
d) Add "Right Shifter" value
e) Treat obtained value as integer S for destination sign setting.
SS = ((S-S&1)&2)<<30; For sin part
SC = ((S+S&1)&2)<<30; For cos part
f) Change destination sign if source sign is negative
using XOR operation.
g) Subtract "Right Shifter" (0x4B000000) value
h) Subtract Y*(PI/2) from X argument, where PI/2 divided to 4 parts:
X = X - Y*PI1 - Y*PI2 - Y*PI3 - Y*PI4;
2) Polynomial (minimax for sin within [-Pi/4; +Pi/4] interval)
a) Calculate X^2 = X * X
b) Calculate 2 polynomials for sin and cos:
RS = X * ( A0 + X^2 * (A1 + x^2 * (A2 + x^2 * (A3))));
RC = B0 + X^2 * (B1 + x^2 * (B2 + x^2 * (B3 + x^2 * (B4))));
c) Swap RS & RC if first bit of obtained value after
Right Shifting is set to 1. Using And, Andnot & Or operations.
3) Destination sign setting
a) Set shifted destination sign using XOR operation:
R1 = XOR( RS, SS );
R2 = XOR( RC, SC ). */
pushq %rbp
cfi_adjust_cfa_offset (8)
cfi_rel_offset (%rbp, 0)
movq %rsp, %rbp
cfi_def_cfa_register (%rbp)
andq $-64, %rsp
subq $448, %rsp
movq __svml_s_trig_data@GOTPCREL(%rip), %rax
vmovdqa %ymm0, %ymm5
vmovups %ymm13, 352(%rsp)
vmovups __sAbsMask(%rax), %ymm2
vmovups __sInvPI(%rax), %ymm1
vmovups __sPI1_FMA(%rax), %ymm13
vmovups %ymm15, 288(%rsp)
/* Absolute argument computation */
vandps %ymm2, %ymm5, %ymm4
/* c) Getting octant Y by 2/Pi multiplication
d) Add "Right Shifter" value */
vfmadd213ps __sRShifter(%rax), %ymm4, %ymm1
/* e) Treat obtained value as integer S for destination sign setting */
vpslld $31, %ymm1, %ymm0
/* g) Subtract "Right Shifter" (0x4B000000) value */
vsubps __sRShifter(%rax), %ymm1, %ymm1
/* h) Subtract Y*(PI/2) from X argument, where PI/2 divided to 3 parts:
X = X - Y*PI1 - Y*PI2 - Y*PI3 */
vmovdqa %ymm4, %ymm7
vfnmadd231ps %ymm1, %ymm13, %ymm7
vfnmadd231ps __sPI2_FMA(%rax), %ymm1, %ymm7
vandps __sSignMask(%rax), %ymm7, %ymm15
vxorps __sOneHalf(%rax), %ymm15, %ymm6
/* Add correction term 0.5 for cos() part */
vaddps %ymm6, %ymm1, %ymm6
vmovdqa %ymm4, %ymm3
vfnmadd231ps %ymm6, %ymm13, %ymm3
vmovups __sPI3_FMA(%rax), %ymm13
vcmpnle_uqps __sRangeReductionVal(%rax), %ymm4, %ymm4
vfnmadd231ps __sPI2_FMA(%rax), %ymm6, %ymm3
vfnmadd213ps %ymm7, %ymm13, %ymm1
vfnmadd213ps %ymm3, %ymm13, %ymm6
/* Result sign calculations */
vxorps __sSignMask(%rax), %ymm15, %ymm3
vxorps %ymm0, %ymm3, %ymm7
vxorps %ymm7, %ymm6, %ymm3
vxorps %ymm0, %ymm1, %ymm15
vandnps %ymm5, %ymm2, %ymm6
vmovups __sA7_FMA(%rax), %ymm2
vmulps %ymm15, %ymm15, %ymm13
vmovups __sA9_FMA(%rax), %ymm7
vmulps %ymm3, %ymm3, %ymm1
/* 2) Polynomial (minimax for sin within [-Pi/4; +Pi/4] interval)
a) Calculate X^2 = X * X
b) Calculate 2 polynomials for sin and cos:
RS = X * ( A0 + X^2 * (A1 + x^2 * (A2 + x^2 * (A3))));
RC = B0 + X^2 * (B1 + x^2 * (B2 + x^2 * (B3 + x^2 * (B4)))) */
vmovdqa %ymm2, %ymm0
vfmadd231ps __sA9_FMA(%rax), %ymm13, %ymm0
vfmadd213ps %ymm2, %ymm1, %ymm7
vfmadd213ps __sA5_FMA(%rax), %ymm13, %ymm0
vfmadd213ps __sA5_FMA(%rax), %ymm1, %ymm7
vfmadd213ps __sA3(%rax), %ymm13, %ymm0
vfmadd213ps __sA3(%rax), %ymm1, %ymm7
vmulps %ymm13, %ymm0, %ymm13
vmulps %ymm1, %ymm7, %ymm1
vfmadd213ps %ymm15, %ymm15, %ymm13
vfmadd213ps %ymm3, %ymm3, %ymm1
vmovmskps %ymm4, %ecx
vxorps %ymm6, %ymm13, %ymm0
testl %ecx, %ecx
jne .LBL_1_3
.LBL_1_2:
cfi_remember_state
vmovups 352(%rsp), %ymm13
vmovups 288(%rsp), %ymm15
vmovups %ymm0, (%rdi)
vmovups %ymm1, (%rsi)
movq %rbp, %rsp
cfi_def_cfa_register (%rsp)
popq %rbp
cfi_adjust_cfa_offset (-8)
cfi_restore (%rbp)
ret
.LBL_1_3:
cfi_restore_state
vmovups %ymm5, 256(%rsp)
vmovups %ymm0, 320(%rsp)
vmovups %ymm1, 384(%rsp)
je .LBL_1_2
xorb %dl, %dl
xorl %eax, %eax
vmovups %ymm8, 160(%rsp)
vmovups %ymm9, 128(%rsp)
vmovups %ymm10, 96(%rsp)
vmovups %ymm11, 64(%rsp)
vmovups %ymm12, 32(%rsp)
vmovups %ymm14, (%rsp)
movq %rsi, 192(%rsp)
movq %r12, 232(%rsp)
cfi_offset_rel_rsp (12, 232)
movb %dl, %r12b
movq %r13, 224(%rsp)
cfi_offset_rel_rsp (13, 224)
movl %eax, %r13d
movq %r14, 216(%rsp)
cfi_offset_rel_rsp (14, 216)
movl %ecx, %r14d
movq %r15, 208(%rsp)
cfi_offset_rel_rsp (14, 208)
movq %rbx, 200(%rsp)
movq %rdi, %rbx
cfi_remember_state
.LBL_1_6:
btl %r13d, %r14d
jc .LBL_1_13
.LBL_1_7:
lea 1(%r13), %esi
btl %esi, %r14d
jc .LBL_1_10
.LBL_1_8:
incb %r12b
addl $2, %r13d
cmpb $16, %r12b
jb .LBL_1_6
vmovups 160(%rsp), %ymm8
movq %rbx, %rdi
vmovups 128(%rsp), %ymm9
vmovups 96(%rsp), %ymm10
vmovups 64(%rsp), %ymm11
vmovups 32(%rsp), %ymm12
vmovups (%rsp), %ymm14
vmovups 320(%rsp), %ymm0
vmovups 384(%rsp), %ymm1
movq 192(%rsp), %rsi
movq 232(%rsp), %r12
cfi_restore (%r12)
movq 224(%rsp), %r13
cfi_restore (%r13)
movq 216(%rsp), %r14
cfi_restore (%r14)
movq 208(%rsp), %r15
cfi_restore (%r15)
movq 200(%rsp), %rbx
jmp .LBL_1_2
.LBL_1_10:
cfi_restore_state
movzbl %r12b, %r15d
vmovss 260(%rsp,%r15,8), %xmm0
vzeroupper
call JUMPTARGET(sinf)
vmovss %xmm0, 324(%rsp,%r15,8)
vmovss 260(%rsp,%r15,8), %xmm0
call JUMPTARGET(cosf)
vmovss %xmm0, 388(%rsp,%r15,8)
jmp .LBL_1_8
.LBL_1_13:
movzbl %r12b, %r15d
vmovss 256(%rsp,%r15,8), %xmm0
vzeroupper
call JUMPTARGET(sinf)
vmovss %xmm0, 320(%rsp,%r15,8)
vmovss 256(%rsp,%r15,8), %xmm0
call JUMPTARGET(cosf)
vmovss %xmm0, 384(%rsp,%r15,8)
jmp .LBL_1_7
END (_ZGVdN8vl4l4_sincosf_avx2)
libmvec_hidden_def(_ZGVdN8vl4l4_sincosf_avx2)
/* vvv version implemented with wrapper to vl4l4 variant. */
ENTRY (_ZGVdN8vvv_sincosf_avx2)
#ifndef __ILP32__
pushq %rbp
cfi_adjust_cfa_offset (8)
cfi_rel_offset (%rbp, 0)
movq %rsp, %rbp
cfi_def_cfa_register (%rbp)
andq $-32, %rsp
subq $192, %rsp
vmovdqu %ymm1, 64(%rsp)
lea (%rsp), %rdi
vmovdqu %ymm2, 96(%rdi)
vmovdqu %ymm3, 128(%rdi)
vmovdqu %ymm4, 160(%rdi)
lea 32(%rsp), %rsi
call HIDDEN_JUMPTARGET(_ZGVdN8vl4l4_sincosf_avx2)
movq 64(%rsp), %rdx
movq 72(%rsp), %rsi
movq 80(%rsp), %r8
movq 88(%rsp), %r10
movl (%rsp), %eax
movl 4(%rsp), %ecx
movl 8(%rsp), %edi
movl 12(%rsp), %r9d
movl %eax, (%rdx)
movl %ecx, (%rsi)
movq 96(%rsp), %rax
movq 104(%rsp), %rcx
movl %edi, (%r8)
movl %r9d, (%r10)
movq 112(%rsp), %rdi
movq 120(%rsp), %r9
movl 16(%rsp), %r11d
movl 20(%rsp), %edx
movl 24(%rsp), %esi
movl 28(%rsp), %r8d
movl %r11d, (%rax)
movl %edx, (%rcx)
movq 128(%rsp), %r11
movq 136(%rsp), %rdx
movl %esi, (%rdi)
movl %r8d, (%r9)
movq 144(%rsp), %rsi
movq 152(%rsp), %r8
movl 32(%rsp), %r10d
movl 36(%rsp), %eax
movl 40(%rsp), %ecx
movl 44(%rsp), %edi
movl %r10d, (%r11)
movl %eax, (%rdx)
movq 160(%rsp), %r10
movq 168(%rsp), %rax
movl %ecx, (%rsi)
movl %edi, (%r8)
movq 176(%rsp), %rcx
movq 184(%rsp), %rdi
movl 48(%rsp), %r9d
movl 52(%rsp), %r11d
movl 56(%rsp), %edx
movl 60(%rsp), %esi
movl %r9d, (%r10)
movl %r11d, (%rax)
movl %edx, (%rcx)
movl %esi, (%rdi)
movq %rbp, %rsp
cfi_def_cfa_register (%rsp)
popq %rbp
cfi_adjust_cfa_offset (-8)
cfi_restore (%rbp)
ret
#else
leal 8(%rsp), %r10d
.cfi_def_cfa 10, 0
andl $-32, %esp
pushq -8(%r10d)
pushq %rbp
.cfi_escape 0x10,0x6,0x2,0x76,0
movl %esp, %ebp
pushq %r10
.cfi_escape 0xf,0x3,0x76,0x78,0x6
leal -48(%rbp), %esi
leal -80(%rbp), %edi
subl $136, %esp
vmovdqa %ymm1, -112(%ebp)
vmovdqa %ymm2, -144(%ebp)
call HIDDEN_JUMPTARGET(_ZGVdN8vl4l4_sincosf_avx2)
vmovdqa -112(%ebp), %xmm0
vmovq %xmm0, %rax
vmovss -80(%ebp), %xmm0
vmovss %xmm0, (%eax)
vmovss -76(%ebp), %xmm0
shrq $32, %rax
vmovss %xmm0, (%eax)
movq -104(%ebp), %rax
vmovss -72(%ebp), %xmm0
vmovss %xmm0, (%eax)
vmovss -68(%ebp), %xmm0
shrq $32, %rax
vmovss %xmm0, (%eax)
movq -96(%ebp), %rax
vmovss -64(%ebp), %xmm0
vmovss %xmm0, (%eax)
vmovss -60(%ebp), %xmm0
shrq $32, %rax
vmovss %xmm0, (%eax)
movq -88(%ebp), %rax
vmovss -56(%ebp), %xmm0
vmovss %xmm0, (%eax)
vmovss -52(%ebp), %xmm0
shrq $32, %rax
vmovss %xmm0, (%eax)
vmovdqa -144(%ebp), %xmm0
vmovq %xmm0, %rax
vmovss -48(%ebp), %xmm0
vmovss %xmm0, (%eax)
vmovss -44(%ebp), %xmm0
shrq $32, %rax
vmovss %xmm0, (%eax)
movq -136(%ebp), %rax
vmovss -40(%ebp), %xmm0
vmovss %xmm0, (%eax)
vmovss -36(%ebp), %xmm0
shrq $32, %rax
vmovss %xmm0, (%eax)
movq -128(%ebp), %rax
vmovss -32(%ebp), %xmm0
vmovss %xmm0, (%eax)
vmovss -28(%ebp), %xmm0
shrq $32, %rax
vmovss %xmm0, (%eax)
movq -120(%ebp), %rax
vmovss -24(%ebp), %xmm0
vmovss %xmm0, (%eax)
vmovss -20(%ebp), %xmm0
shrq $32, %rax
vmovss %xmm0, (%eax)
addl $136, %esp
popq %r10
.cfi_def_cfa 10, 0
popq %rbp
leal -8(%r10), %esp
.cfi_def_cfa 7, 8
ret
#endif
END (_ZGVdN8vvv_sincosf_avx2)
|
