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[thirdparty/glibc.git] / sysdeps / x86_64 / fpu / multiarch / svml_d_sincos8_core_avx512.S
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c9a8c526 1/* Function sincos vectorized with AVX-512. KNL and SKX versions.
f7a9f785 2 Copyright (C) 2014-2016 Free Software Foundation, Inc.
c9a8c526
AS		 3 This file is part of the GNU C Library.
4
5 The GNU C Library is free software; you can redistribute it and/or
6 modify it under the terms of the GNU Lesser General Public
7 License as published by the Free Software Foundation; either
8 version 2.1 of the License, or (at your option) any later version.
9
10 The GNU C Library is distributed in the hope that it will be useful,
11 but WITHOUT ANY WARRANTY; without even the implied warranty of
12 MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
13 Lesser General Public License for more details.
14
15 You should have received a copy of the GNU Lesser General Public
16 License along with the GNU C Library; if not, see
17 <http://www.gnu.org/licenses/>. */
18
19#include <sysdep.h>
5872b835 20#include "svml_d_trig_data.h"
c9a8c526
AS		 21#include "svml_d_wrapper_impl.h"
22
23/*
24 ALGORITHM DESCRIPTION:
25
26 ( low accuracy ( < 4ulp ) or enhanced performance
27 ( half of correct mantissa ) implementation )
28
29 Argument representation:
30 arg = N*Pi + R
31
32 Result calculation:
33 sin(arg) = sin(N*Pi + R) = (-1)^N * sin(R)
34 arg + Pi/2 = (N'*Pi + R')
35 cos(arg) = sin(arg+Pi/2) = sin(N'*Pi + R') = (-1)^N' * sin(R')
36 sin(R), sin(R') are approximated by corresponding polynomial. */
37
38 .text
39ENTRY (_ZGVeN8vvv_sincos_knl)
40#ifndef HAVE_AVX512_ASM_SUPPORT
41WRAPPER_IMPL_AVX512_fFF _ZGVdN4vvv_sincos
42#else
43 pushq %rbp
44 cfi_adjust_cfa_offset (8)
45 cfi_rel_offset (%rbp, 0)
46 movq %rsp, %rbp
47 cfi_def_cfa_register (%rbp)
48 andq $-64, %rsp
49 subq $1344, %rsp
5872b835 50 movq __svml_d_trig_data@GOTPCREL(%rip), %rax
c9a8c526
AS		 51 vmovaps %zmm0, %zmm4
52 movq $-1, %rdx
53 vmovups __dSignMask(%rax), %zmm12
54 vmovups __dInvPI(%rax), %zmm5
55
56/* ARGUMENT RANGE REDUCTION:
57 Absolute argument: X' = |X| */
58 vpandnq %zmm4, %zmm12, %zmm3
59 vmovups __dPI1_FMA(%rax), %zmm7
60 vmovups __dPI3_FMA(%rax), %zmm9
61
62/* SinR = X' - SinN*Pi1 */
63 vmovaps %zmm3, %zmm8
64
65/* CosR = SinX - CosN*Pi1 */
66 vmovaps %zmm3, %zmm10
67
68/* SinY = X'*InvPi + RS : right shifter add */
69 vfmadd213pd __dRShifter(%rax), %zmm3, %zmm5
70 vmovups __dC6(%rax), %zmm13
71
72/* SinN = Y - RS : right shifter sub */
73 vsubpd __dRShifter(%rax), %zmm5, %zmm1
74 vmovaps %zmm13, %zmm14
75
76/* SinSignRes = Y<<63 : shift LSB to MSB place for result sign */
77 vpsllq $63, %zmm5, %zmm2
78 vcmppd $22, __dRangeVal(%rax), %zmm3, %k1
79
80/* Update CosRSign and CosSignRes signs */
81 vmovaps %zmm12, %zmm5
82 vfnmadd231pd %zmm1, %zmm7, %zmm8
83
84/* SinR = SinR - SinN*Pi1 */
85 vfnmadd231pd __dPI2_FMA(%rax), %zmm1, %zmm8
86
87/* Sine result sign: SinRSign = SignMask & SinR */
88 vpandq %zmm8, %zmm12, %zmm11
89
90/* Set SinRSign to 0.5 */
91 vporq __dOneHalf(%rax), %zmm11, %zmm6
92 vpternlogq $150, %zmm2, %zmm11, %zmm5
93
94/* Update sign SinSignRes */
95 vpternlogq $120, %zmm4, %zmm12, %zmm2
96
97/* Polynomial approximation */
98 vmovups __dC7(%rax), %zmm11
99
100/* CosN = SinN +(-)0.5 */
101 vaddpd %zmm6, %zmm1, %zmm0
102
103/* SinR = SinR - SinN*Pi3 */
104 vfnmadd213pd %zmm8, %zmm9, %zmm1
105 vfnmadd231pd %zmm0, %zmm7, %zmm10
106
107/* SinR2 = SinR^2 */
108 vmulpd %zmm1, %zmm1, %zmm15
109
110/* Grab SignX
111 CosR = CosR - CosN*Pi2 */
112 vfnmadd231pd __dPI2_FMA(%rax), %zmm0, %zmm10
113 vfmadd231pd __dC7(%rax), %zmm15, %zmm14
114
115/* CosR = CosR - CosN*Pi3 */
116 vfnmadd213pd %zmm10, %zmm9, %zmm0
117 vfmadd213pd __dC5(%rax), %zmm15, %zmm14
118
119/* CosR2 = CosR^2 */
120 vmulpd %zmm0, %zmm0, %zmm12
121 vfmadd213pd __dC4(%rax), %zmm15, %zmm14
122 vfmadd213pd %zmm13, %zmm12, %zmm11
123
124/* SinPoly = C3 + SinR2*(C4 + SinR2*(C5 + SinR2*(C6 + SinR2*C7))) */
125 vfmadd213pd __dC3(%rax), %zmm15, %zmm14
126 vfmadd213pd __dC5(%rax), %zmm12, %zmm11
127
128/* SinPoly = C2 + SinR2*SinPoly */
129 vfmadd213pd __dC2(%rax), %zmm15, %zmm14
130 vfmadd213pd __dC4(%rax), %zmm12, %zmm11
131
132/* SinPoly = C1 + SinR2*SinPoly */
133 vfmadd213pd __dC1(%rax), %zmm15, %zmm14
134
135/* CosPoly = C3 + CosR2*(C4 + CosR2*(C5 + CosR2*(C6 + CosR2*C7))) */
136 vfmadd213pd __dC3(%rax), %zmm12, %zmm11
137
138/* SinPoly = SinR2*SinPoly */
139 vmulpd %zmm15, %zmm14, %zmm13
140
141/* CosPoly = C2 + CosR2*CosPoly */
142 vfmadd213pd __dC2(%rax), %zmm12, %zmm11
143
144/* SinPoly = SinR*SinPoly */
145 vfmadd213pd %zmm1, %zmm1, %zmm13
146 vpbroadcastq %rdx, %zmm1{%k1}{z}
147
148/* CosPoly = C1 + CosR2*CosPoly */
149 vfmadd213pd __dC1(%rax), %zmm12, %zmm11
150 vptestmq %zmm1, %zmm1, %k0
151 kmovw %k0, %ecx
152
153/* CosPoly = CosR2*CosPoly */
154 vmulpd %zmm12, %zmm11, %zmm14
155 movzbl %cl, %ecx
156
157/* CosPoly = CosR*CosPoly */
158 vfmadd213pd %zmm0, %zmm0, %zmm14
159
160/* Final reconstruction.
161 Update Sin result's sign */
162 vpxorq %zmm2, %zmm13, %zmm0
163
164/* Update Cos result's sign */
165 vpxorq %zmm5, %zmm14, %zmm2
166 testl %ecx, %ecx
167 jne .LBL_1_3
168
169.LBL_1_2:
170 cfi_remember_state
171 vmovups %zmm0, (%rdi)
172 vmovups %zmm2, (%rsi)
173 movq %rbp, %rsp
174 cfi_def_cfa_register (%rsp)
175 popq %rbp
176 cfi_adjust_cfa_offset (-8)
177 cfi_restore (%rbp)
178 ret
179
180.LBL_1_3:
181 cfi_restore_state
182 vmovups %zmm4, 1152(%rsp)
183 vmovups %zmm0, 1216(%rsp)
184 vmovups %zmm2, 1280(%rsp)
185 je .LBL_1_2
186
187 xorb %dl, %dl
188 kmovw %k4, 1048(%rsp)
189 xorl %eax, %eax
190 kmovw %k5, 1040(%rsp)
191 kmovw %k6, 1032(%rsp)
192 kmovw %k7, 1024(%rsp)
193 vmovups %zmm16, 960(%rsp)
194 vmovups %zmm17, 896(%rsp)
195 vmovups %zmm18, 832(%rsp)
196 vmovups %zmm19, 768(%rsp)
197 vmovups %zmm20, 704(%rsp)
198 vmovups %zmm21, 640(%rsp)
199 vmovups %zmm22, 576(%rsp)
200 vmovups %zmm23, 512(%rsp)
201 vmovups %zmm24, 448(%rsp)
202 vmovups %zmm25, 384(%rsp)
203 vmovups %zmm26, 320(%rsp)
204 vmovups %zmm27, 256(%rsp)
205 vmovups %zmm28, 192(%rsp)
206 vmovups %zmm29, 128(%rsp)
207 vmovups %zmm30, 64(%rsp)
208 vmovups %zmm31, (%rsp)
209 movq %rsi, 1056(%rsp)
210 movq %r12, 1096(%rsp)
211 cfi_offset_rel_rsp (12, 1096)
212 movb %dl, %r12b
213 movq %r13, 1088(%rsp)
214 cfi_offset_rel_rsp (13, 1088)
215 movl %eax, %r13d
216 movq %r14, 1080(%rsp)
217 cfi_offset_rel_rsp (14, 1080)
218 movl %ecx, %r14d
219 movq %r15, 1072(%rsp)
220 cfi_offset_rel_rsp (15, 1072)
221 movq %rbx, 1064(%rsp)
222 movq %rdi, %rbx
223 cfi_remember_state
224
225.LBL_1_6:
226 btl %r13d, %r14d
227 jc .LBL_1_13
228
229.LBL_1_7:
230 lea 1(%r13), %esi
231 btl %esi, %r14d
232 jc .LBL_1_10
233
234.LBL_1_8:
235 addb $1, %r12b
236 addl $2, %r13d
237 cmpb $16, %r12b
238 jb .LBL_1_6
239
240 movq %rbx, %rdi
241 kmovw 1048(%rsp), %k4
242 movq 1056(%rsp), %rsi
243 kmovw 1040(%rsp), %k5
244 movq 1096(%rsp), %r12
245 cfi_restore (%r12)
246 kmovw 1032(%rsp), %k6
247 movq 1088(%rsp), %r13
248 cfi_restore (%r13)
249 kmovw 1024(%rsp), %k7
250 vmovups 960(%rsp), %zmm16
251 vmovups 896(%rsp), %zmm17
252 vmovups 832(%rsp), %zmm18
253 vmovups 768(%rsp), %zmm19
254 vmovups 704(%rsp), %zmm20
255 vmovups 640(%rsp), %zmm21
256 vmovups 576(%rsp), %zmm22
257 vmovups 512(%rsp), %zmm23
258 vmovups 448(%rsp), %zmm24
259 vmovups 384(%rsp), %zmm25
260 vmovups 320(%rsp), %zmm26
261 vmovups 256(%rsp), %zmm27
262 vmovups 192(%rsp), %zmm28
263 vmovups 128(%rsp), %zmm29
264 vmovups 64(%rsp), %zmm30
265 vmovups (%rsp), %zmm31
266 movq 1080(%rsp), %r14
267 cfi_restore (%r14)
268 movq 1072(%rsp), %r15
269 cfi_restore (%r15)
270 movq 1064(%rsp), %rbx
271 vmovups 1216(%rsp), %zmm0
272 vmovups 1280(%rsp), %zmm2
273 jmp .LBL_1_2
274
275.LBL_1_10:
276 cfi_restore_state
277 movzbl %r12b, %r15d
278 shlq $4, %r15
279 vmovsd 1160(%rsp,%r15), %xmm0
280
281 call sin@PLT
282
283 vmovsd %xmm0, 1224(%rsp,%r15)
284 vmovsd 1160(%rsp,%r15), %xmm0
285
286 call cos@PLT
287
288 vmovsd %xmm0, 1288(%rsp,%r15)
289 jmp .LBL_1_8
290
291.LBL_1_13:
292 movzbl %r12b, %r15d
293 shlq $4, %r15
294 vmovsd 1152(%rsp,%r15), %xmm0
295
296 call sin@PLT
297
298 vmovsd %xmm0, 1216(%rsp,%r15)
299 vmovsd 1152(%rsp,%r15), %xmm0
300
301 call cos@PLT
302
303 vmovsd %xmm0, 1280(%rsp,%r15)
304 jmp .LBL_1_7
305
306#endif
307END (_ZGVeN8vvv_sincos_knl)
308
309ENTRY (_ZGVeN8vvv_sincos_skx)
310#ifndef HAVE_AVX512_ASM_SUPPORT
311WRAPPER_IMPL_AVX512_fFF _ZGVdN4vvv_sincos
312#else
313 pushq %rbp
314 cfi_adjust_cfa_offset (8)
315 cfi_rel_offset (%rbp, 0)
316 movq %rsp, %rbp
317 cfi_def_cfa_register (%rbp)
318 andq $-64, %rsp
319 subq $1344, %rsp
5872b835 320 movq __svml_d_trig_data@GOTPCREL(%rip), %rax
c9a8c526
AS		 321 vmovaps %zmm0, %zmm8
322 vmovups __dSignMask(%rax), %zmm4
323 vmovups __dInvPI(%rax), %zmm9
324 vmovups __dRShifter(%rax), %zmm10
325 vmovups __dPI1_FMA(%rax), %zmm13
326 vmovups __dPI2_FMA(%rax), %zmm14
327 vmovups __dOneHalf(%rax), %zmm11
328 vmovups __dPI3_FMA(%rax), %zmm2
329
330/* ARGUMENT RANGE REDUCTION:
331 Absolute argument: X' = |X| */
332 vandnpd %zmm8, %zmm4, %zmm7
333
334/* SinY = X'*InvPi + RS : right shifter add */
335 vfmadd213pd %zmm10, %zmm7, %zmm9
336 vcmppd $18, __dRangeVal(%rax), %zmm7, %k1
337
338/* SinSignRes = Y<<63 : shift LSB to MSB place for result sign */
339 vpsllq $63, %zmm9, %zmm6
340
341/* SinN = Y - RS : right shifter sub */
342 vsubpd %zmm10, %zmm9, %zmm5
343 vmovups __dC5(%rax), %zmm9
344 vmovups __dC4(%rax), %zmm10
345
346/* SinR = X' - SinN*Pi1 */
347 vmovaps %zmm7, %zmm15
348 vfnmadd231pd %zmm5, %zmm13, %zmm15
349
350/* SinR = SinR - SinN*Pi1 */
351 vfnmadd231pd %zmm5, %zmm14, %zmm15
352
353/* Sine result sign: SinRSign = SignMask & SinR */
354 vandpd %zmm15, %zmm4, %zmm1
355
356/* Set SinRSign to 0.5 */
357 vorpd %zmm1, %zmm11, %zmm12
358 vmovups __dC3(%rax), %zmm11
359
360/* CosN = SinN +(-)0.5 */
361 vaddpd %zmm12, %zmm5, %zmm3
362
363/* SinR = SinR - SinN*Pi3 */
364 vfnmadd213pd %zmm15, %zmm2, %zmm5
365 vmovups __dC2(%rax), %zmm12
366
367/* SinR2 = SinR^2 */
368 vmulpd %zmm5, %zmm5, %zmm15
369
370/* CosR = SinX - CosN*Pi1 */
371 vmovaps %zmm7, %zmm0
372 vfnmadd231pd %zmm3, %zmm13, %zmm0
373 vmovups __dC1(%rax), %zmm13
374
375/* Grab SignX
376 CosR = CosR - CosN*Pi2 */
377 vfnmadd231pd %zmm3, %zmm14, %zmm0
378
379/* CosR = CosR - CosN*Pi3 */
380 vfnmadd213pd %zmm0, %zmm2, %zmm3
381
382/* Polynomial approximation */
383 vmovups __dC7(%rax), %zmm0
384
385/* Update CosRSign and CosSignRes signs */
386 vmovaps %zmm4, %zmm2
387 vpternlogq $150, %zmm6, %zmm1, %zmm2
388
389/* Update sign SinSignRes */
390 vpternlogq $120, %zmm8, %zmm4, %zmm6
391
392/* CosR2 = CosR^2 */
393 vmulpd %zmm3, %zmm3, %zmm1
394 vmovups __dC6(%rax), %zmm4
395 vmovaps %zmm0, %zmm14
396 vfmadd213pd %zmm4, %zmm1, %zmm0
397 vfmadd213pd %zmm4, %zmm15, %zmm14
398 vfmadd213pd %zmm9, %zmm1, %zmm0
399 vfmadd213pd %zmm9, %zmm15, %zmm14
400 vfmadd213pd %zmm10, %zmm1, %zmm0
401 vfmadd213pd %zmm10, %zmm15, %zmm14
402
403/* CosPoly = C3 + CosR2*(C4 + CosR2*(C5 + CosR2*(C6 + CosR2*C7))) */
404 vfmadd213pd %zmm11, %zmm1, %zmm0
405
406/* SinPoly = C3 + SinR2*(C4 + SinR2*(C5 + SinR2*(C6 + SinR2*C7))) */
407 vfmadd213pd %zmm11, %zmm15, %zmm14
408
409/* CosPoly = C2 + CosR2*CosPoly */
410 vfmadd213pd %zmm12, %zmm1, %zmm0
411
412/* SinPoly = C2 + SinR2*SinPoly */
413 vfmadd213pd %zmm12, %zmm15, %zmm14
414
415/* CosPoly = C1 + CosR2*CosPoly */
416 vfmadd213pd %zmm13, %zmm1, %zmm0
417
418/* SinPoly = C1 + SinR2*SinPoly */
419 vfmadd213pd %zmm13, %zmm15, %zmm14
420
421/* CosPoly = CosR2*CosPoly */
422 vmulpd %zmm1, %zmm0, %zmm1
423
424/* SinPoly = SinR2*SinPoly */
425 vmulpd %zmm15, %zmm14, %zmm4
426
427/* CosPoly = CosR*CosPoly */
428 vfmadd213pd %zmm3, %zmm3, %zmm1
429
430/* SinPoly = SinR*SinPoly */
431 vfmadd213pd %zmm5, %zmm5, %zmm4
432 vpbroadcastq .L_2il0floatpacket.15(%rip), %zmm3
433
434/* Update Cos result's sign */
435 vxorpd %zmm2, %zmm1, %zmm1
436
437/* Final reconstruction.
438 Update Sin result's sign */
439 vxorpd %zmm6, %zmm4, %zmm0
440 vpandnq %zmm7, %zmm7, %zmm3{%k1}
441 vcmppd $3, %zmm3, %zmm3, %k0
442 kmovw %k0, %ecx
443 testl %ecx, %ecx
444 jne .LBL_2_3
445
446.LBL_2_2:
447 cfi_remember_state
448 vmovups %zmm0, (%rdi)
449 vmovups %zmm1, (%rsi)
450 movq %rbp, %rsp
451 cfi_def_cfa_register (%rsp)
452 popq %rbp
453 cfi_adjust_cfa_offset (-8)
454 cfi_restore (%rbp)
455 ret
456
457.LBL_2_3:
458 cfi_restore_state
459 vmovups %zmm8, 1152(%rsp)
460 vmovups %zmm0, 1216(%rsp)
461 vmovups %zmm1, 1280(%rsp)
462 je .LBL_2_2
463
464 xorb %dl, %dl
465 xorl %eax, %eax
466 kmovw %k4, 1048(%rsp)
467 kmovw %k5, 1040(%rsp)
468 kmovw %k6, 1032(%rsp)
469 kmovw %k7, 1024(%rsp)
470 vmovups %zmm16, 960(%rsp)
471 vmovups %zmm17, 896(%rsp)
472 vmovups %zmm18, 832(%rsp)
473 vmovups %zmm19, 768(%rsp)
474 vmovups %zmm20, 704(%rsp)
475 vmovups %zmm21, 640(%rsp)
476 vmovups %zmm22, 576(%rsp)
477 vmovups %zmm23, 512(%rsp)
478 vmovups %zmm24, 448(%rsp)
479 vmovups %zmm25, 384(%rsp)
480 vmovups %zmm26, 320(%rsp)
481 vmovups %zmm27, 256(%rsp)
482 vmovups %zmm28, 192(%rsp)
483 vmovups %zmm29, 128(%rsp)
484 vmovups %zmm30, 64(%rsp)
485 vmovups %zmm31, (%rsp)
486 movq %rsi, 1056(%rsp)
487 movq %r12, 1096(%rsp)
488 cfi_offset_rel_rsp (12, 1096)
489 movb %dl, %r12b
490 movq %r13, 1088(%rsp)
491 cfi_offset_rel_rsp (13, 1088)
492 movl %eax, %r13d
493 movq %r14, 1080(%rsp)
494 cfi_offset_rel_rsp (14, 1080)
495 movl %ecx, %r14d
496 movq %r15, 1072(%rsp)
497 cfi_offset_rel_rsp (15, 1072)
498 movq %rbx, 1064(%rsp)
499 movq %rdi, %rbx
500 cfi_remember_state
501
502.LBL_2_6:
503 btl %r13d, %r14d
504 jc .LBL_2_13
505
506.LBL_2_7:
507 lea 1(%r13), %esi
508 btl %esi, %r14d
509 jc .LBL_2_10
510
511.LBL_2_8:
512 incb %r12b
513 addl $2, %r13d
514 cmpb $16, %r12b
515 jb .LBL_2_6
516
517 kmovw 1048(%rsp), %k4
518 movq %rbx, %rdi
519 kmovw 1040(%rsp), %k5
520 kmovw 1032(%rsp), %k6
521 kmovw 1024(%rsp), %k7
522 vmovups 960(%rsp), %zmm16
523 vmovups 896(%rsp), %zmm17
524 vmovups 832(%rsp), %zmm18
525 vmovups 768(%rsp), %zmm19
526 vmovups 704(%rsp), %zmm20
527 vmovups 640(%rsp), %zmm21
528 vmovups 576(%rsp), %zmm22
529 vmovups 512(%rsp), %zmm23
530 vmovups 448(%rsp), %zmm24
531 vmovups 384(%rsp), %zmm25
532 vmovups 320(%rsp), %zmm26
533 vmovups 256(%rsp), %zmm27
534 vmovups 192(%rsp), %zmm28
535 vmovups 128(%rsp), %zmm29
536 vmovups 64(%rsp), %zmm30
537 vmovups (%rsp), %zmm31
538 vmovups 1216(%rsp), %zmm0
539 vmovups 1280(%rsp), %zmm1
540 movq 1056(%rsp), %rsi
541 movq 1096(%rsp), %r12
542 cfi_restore (%r12)
543 movq 1088(%rsp), %r13
544 cfi_restore (%r13)
545 movq 1080(%rsp), %r14
546 cfi_restore (%r14)
547 movq 1072(%rsp), %r15
548 cfi_restore (%r15)
549 movq 1064(%rsp), %rbx
550 jmp .LBL_2_2
551
552.LBL_2_10:
553 cfi_restore_state
554 movzbl %r12b, %r15d
555 shlq $4, %r15
556 vmovsd 1160(%rsp,%r15), %xmm0
557 vzeroupper
558 vmovsd 1160(%rsp,%r15), %xmm0
559
560 call sin@PLT
561
562 vmovsd %xmm0, 1224(%rsp,%r15)
563 vmovsd 1160(%rsp,%r15), %xmm0
564
565 call cos@PLT
566
567 vmovsd %xmm0, 1288(%rsp,%r15)
568 jmp .LBL_2_8
569
570.LBL_2_13:
571 movzbl %r12b, %r15d
572 shlq $4, %r15
573 vmovsd 1152(%rsp,%r15), %xmm0
574 vzeroupper
575 vmovsd 1152(%rsp,%r15), %xmm0
576
577 call sin@PLT
578
579 vmovsd %xmm0, 1216(%rsp,%r15)
580 vmovsd 1152(%rsp,%r15), %xmm0
581
582 call cos@PLT
583
584 vmovsd %xmm0, 1280(%rsp,%r15)
585 jmp .LBL_2_7
586
587#endif
588END (_ZGVeN8vvv_sincos_skx)
589
590 .section .rodata, "a"
591.L_2il0floatpacket.15:
592 .long 0xffffffff,0xffffffff
593 .type .L_2il0floatpacket.15,@object
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