1 | /* Function sinf vectorized with AVX-512. KNL and SKX versions. |
2 | Copyright (C) 2014-2020 Free Software Foundation, Inc. |
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 | <https://www.gnu.org/licenses/>. */ |
18 | |
19 | #include <sysdep.h> |
20 | #include "svml_s_trig_data.h" |
21 | #include "svml_s_wrapper_impl.h" |
22 | |
23 | .text |
24 | ENTRY(_ZGVeN16v_sinf_knl) |
25 | #ifndef HAVE_AVX512DQ_ASM_SUPPORT |
26 | WRAPPER_IMPL_AVX512 _ZGVdN8v_sinf |
27 | #else |
28 | /* |
29 | ALGORITHM DESCRIPTION: |
30 | |
31 | 1) Range reduction to [-Pi/2; +Pi/2] interval |
32 | a) Grab sign from source argument and save it. |
33 | b) Remove sign using AND operation |
34 | c) Getting octant Y by 1/Pi multiplication |
35 | d) Add "Right Shifter" value |
36 | e) Treat obtained value as integer for destination sign setting. |
37 | Shift first bit of this value to the last (sign) position |
38 | f) Change destination sign if source sign is negative |
39 | using XOR operation. |
40 | g) Subtract "Right Shifter" value |
41 | h) Subtract Y*PI from X argument, where PI divided to 4 parts: |
42 | X = X - Y*PI1 - Y*PI2 - Y*PI3 - Y*PI4; |
43 | 2) Polynomial (minimax for sin within [-Pi/2; +Pi/2] interval) |
44 | a) Calculate X^2 = X * X |
45 | b) Calculate polynomial: |
46 | R = X + X * X^2 * (A3 + x^2 * (A5 + ...... |
47 | 3) Destination sign setting |
48 | a) Set shifted destination sign using XOR operation: |
49 | R = XOR( R, S ); |
50 | */ |
51 | pushq %rbp |
52 | cfi_adjust_cfa_offset (8) |
53 | cfi_rel_offset (%rbp, 0) |
54 | movq %rsp, %rbp |
55 | cfi_def_cfa_register (%rbp) |
56 | andq $-64, %rsp |
57 | subq $1280, %rsp |
58 | movq __svml_s_trig_data@GOTPCREL(%rip), %rax |
59 | |
60 | /* Check for large and special values */ |
61 | movl $-1, %edx |
62 | vmovups __sAbsMask(%rax), %zmm4 |
63 | vmovups __sInvPI(%rax), %zmm1 |
64 | |
65 | /* b) Remove sign using AND operation */ |
66 | vpandd %zmm4, %zmm0, %zmm12 |
67 | vmovups __sPI1_FMA(%rax), %zmm2 |
68 | vmovups __sA9(%rax), %zmm7 |
69 | |
70 | /* |
71 | f) Change destination sign if source sign is negative |
72 | using XOR operation. |
73 | */ |
74 | vpandnd %zmm0, %zmm4, %zmm11 |
75 | |
76 | /* |
77 | h) Subtract Y*PI from X argument, where PI divided to 4 parts: |
78 | X = X - Y*PI1 - Y*PI2 - Y*PI3; |
79 | */ |
80 | vmovaps %zmm12, %zmm3 |
81 | |
82 | /* |
83 | c) Getting octant Y by 1/Pi multiplication |
84 | d) Add "Right Shifter" value |
85 | */ |
86 | vfmadd213ps __sRShifter(%rax), %zmm12, %zmm1 |
87 | vcmpps $22, __sRangeReductionVal(%rax), %zmm12, %k1 |
88 | vpbroadcastd %edx, %zmm13{%k1}{z} |
89 | |
90 | /* g) Subtract "Right Shifter" value */ |
91 | vsubps __sRShifter(%rax), %zmm1, %zmm5 |
92 | |
93 | /* |
94 | e) Treat obtained value as integer for destination sign setting. |
95 | Shift first bit of this value to the last (sign) position |
96 | */ |
97 | vpslld $31, %zmm1, %zmm6 |
98 | vptestmd %zmm13, %zmm13, %k0 |
99 | vfnmadd231ps %zmm5, %zmm2, %zmm3 |
100 | kmovw %k0, %ecx |
101 | vfnmadd231ps __sPI2_FMA(%rax), %zmm5, %zmm3 |
102 | vfnmadd132ps __sPI3_FMA(%rax), %zmm3, %zmm5 |
103 | |
104 | /* |
105 | 2) Polynomial (minimax for sin within [-Pi/2; +Pi/2] interval) |
106 | a) Calculate X^2 = X * X |
107 | b) Calculate polynomial: |
108 | R = X + X * X^2 * (A3 + x^2 * (A5 + ...... |
109 | */ |
110 | vmulps %zmm5, %zmm5, %zmm8 |
111 | vpxord %zmm6, %zmm5, %zmm9 |
112 | vfmadd213ps __sA7(%rax), %zmm8, %zmm7 |
113 | vfmadd213ps __sA5(%rax), %zmm8, %zmm7 |
114 | vfmadd213ps __sA3(%rax), %zmm8, %zmm7 |
115 | vmulps %zmm8, %zmm7, %zmm10 |
116 | vfmadd213ps %zmm9, %zmm9, %zmm10 |
117 | |
118 | /* |
119 | 3) Destination sign setting |
120 | a) Set shifted destination sign using XOR operation: |
121 | R = XOR( R, S ); |
122 | */ |
123 | vpxord %zmm11, %zmm10, %zmm1 |
124 | testl %ecx, %ecx |
125 | jne .LBL_1_3 |
126 | |
127 | .LBL_1_2: |
128 | cfi_remember_state |
129 | vmovaps %zmm1, %zmm0 |
130 | movq %rbp, %rsp |
131 | cfi_def_cfa_register (%rsp) |
132 | popq %rbp |
133 | cfi_adjust_cfa_offset (-8) |
134 | cfi_restore (%rbp) |
135 | ret |
136 | |
137 | .LBL_1_3: |
138 | cfi_restore_state |
139 | vmovups %zmm0, 1152(%rsp) |
140 | vmovups %zmm1, 1216(%rsp) |
141 | je .LBL_1_2 |
142 | |
143 | xorb %dl, %dl |
144 | kmovw %k4, 1048(%rsp) |
145 | xorl %eax, %eax |
146 | kmovw %k5, 1040(%rsp) |
147 | kmovw %k6, 1032(%rsp) |
148 | kmovw %k7, 1024(%rsp) |
149 | vmovups %zmm16, 960(%rsp) |
150 | vmovups %zmm17, 896(%rsp) |
151 | vmovups %zmm18, 832(%rsp) |
152 | vmovups %zmm19, 768(%rsp) |
153 | vmovups %zmm20, 704(%rsp) |
154 | vmovups %zmm21, 640(%rsp) |
155 | vmovups %zmm22, 576(%rsp) |
156 | vmovups %zmm23, 512(%rsp) |
157 | vmovups %zmm24, 448(%rsp) |
158 | vmovups %zmm25, 384(%rsp) |
159 | vmovups %zmm26, 320(%rsp) |
160 | vmovups %zmm27, 256(%rsp) |
161 | vmovups %zmm28, 192(%rsp) |
162 | vmovups %zmm29, 128(%rsp) |
163 | vmovups %zmm30, 64(%rsp) |
164 | vmovups %zmm31, (%rsp) |
165 | movq %rsi, 1064(%rsp) |
166 | movq %rdi, 1056(%rsp) |
167 | movq %r12, 1096(%rsp) |
168 | cfi_offset_rel_rsp (12, 1096) |
169 | movb %dl, %r12b |
170 | movq %r13, 1088(%rsp) |
171 | cfi_offset_rel_rsp (13, 1088) |
172 | movl %ecx, %r13d |
173 | movq %r14, 1080(%rsp) |
174 | cfi_offset_rel_rsp (14, 1080) |
175 | movl %eax, %r14d |
176 | movq %r15, 1072(%rsp) |
177 | cfi_offset_rel_rsp (15, 1072) |
178 | cfi_remember_state |
179 | |
180 | .LBL_1_6: |
181 | btl %r14d, %r13d |
182 | jc .LBL_1_12 |
183 | |
184 | .LBL_1_7: |
185 | lea 1(%r14), %esi |
186 | btl %esi, %r13d |
187 | jc .LBL_1_10 |
188 | |
189 | .LBL_1_8: |
190 | addb $1, %r12b |
191 | addl $2, %r14d |
192 | cmpb $16, %r12b |
193 | jb .LBL_1_6 |
194 | |
195 | kmovw 1048(%rsp), %k4 |
196 | movq 1064(%rsp), %rsi |
197 | kmovw 1040(%rsp), %k5 |
198 | movq 1056(%rsp), %rdi |
199 | kmovw 1032(%rsp), %k6 |
200 | movq 1096(%rsp), %r12 |
201 | cfi_restore (%r12) |
202 | movq 1088(%rsp), %r13 |
203 | cfi_restore (%r13) |
204 | kmovw 1024(%rsp), %k7 |
205 | vmovups 960(%rsp), %zmm16 |
206 | vmovups 896(%rsp), %zmm17 |
207 | vmovups 832(%rsp), %zmm18 |
208 | vmovups 768(%rsp), %zmm19 |
209 | vmovups 704(%rsp), %zmm20 |
210 | vmovups 640(%rsp), %zmm21 |
211 | vmovups 576(%rsp), %zmm22 |
212 | vmovups 512(%rsp), %zmm23 |
213 | vmovups 448(%rsp), %zmm24 |
214 | vmovups 384(%rsp), %zmm25 |
215 | vmovups 320(%rsp), %zmm26 |
216 | vmovups 256(%rsp), %zmm27 |
217 | vmovups 192(%rsp), %zmm28 |
218 | vmovups 128(%rsp), %zmm29 |
219 | vmovups 64(%rsp), %zmm30 |
220 | vmovups (%rsp), %zmm31 |
221 | movq 1080(%rsp), %r14 |
222 | cfi_restore (%r14) |
223 | movq 1072(%rsp), %r15 |
224 | cfi_restore (%r15) |
225 | vmovups 1216(%rsp), %zmm1 |
226 | jmp .LBL_1_2 |
227 | |
228 | .LBL_1_10: |
229 | cfi_restore_state |
230 | movzbl %r12b, %r15d |
231 | vmovss 1156(%rsp,%r15,8), %xmm0 |
232 | call JUMPTARGET(sinf) |
233 | vmovss %xmm0, 1220(%rsp,%r15,8) |
234 | jmp .LBL_1_8 |
235 | |
236 | .LBL_1_12: |
237 | movzbl %r12b, %r15d |
238 | vmovss 1152(%rsp,%r15,8), %xmm0 |
239 | call JUMPTARGET(sinf) |
240 | vmovss %xmm0, 1216(%rsp,%r15,8) |
241 | jmp .LBL_1_7 |
242 | #endif |
243 | END(_ZGVeN16v_sinf_knl) |
244 | |
245 | ENTRY (_ZGVeN16v_sinf_skx) |
246 | #ifndef HAVE_AVX512DQ_ASM_SUPPORT |
247 | WRAPPER_IMPL_AVX512 _ZGVdN8v_sinf |
248 | #else |
249 | /* |
250 | ALGORITHM DESCRIPTION: |
251 | |
252 | 1) Range reduction to [-Pi/2; +Pi/2] interval |
253 | a) Grab sign from source argument and save it. |
254 | b) Remove sign using AND operation |
255 | c) Getting octant Y by 1/Pi multiplication |
256 | d) Add "Right Shifter" value |
257 | e) Treat obtained value as integer for destination sign setting. |
258 | Shift first bit of this value to the last (sign) position |
259 | f) Change destination sign if source sign is negative |
260 | using XOR operation. |
261 | g) Subtract "Right Shifter" value |
262 | h) Subtract Y*PI from X argument, where PI divided to 4 parts: |
263 | X = X - Y*PI1 - Y*PI2 - Y*PI3 - Y*PI4; |
264 | 2) Polynomial (minimax for sin within [-Pi/2; +Pi/2] interval) |
265 | a) Calculate X^2 = X * X |
266 | b) Calculate polynomial: |
267 | R = X + X * X^2 * (A3 + x^2 * (A5 + ...... |
268 | 3) Destination sign setting |
269 | a) Set shifted destination sign using XOR operation: |
270 | R = XOR( R, S ); |
271 | */ |
272 | |
273 | pushq %rbp |
274 | cfi_adjust_cfa_offset (8) |
275 | cfi_rel_offset (%rbp, 0) |
276 | movq %rsp, %rbp |
277 | cfi_def_cfa_register (%rbp) |
278 | andq $-64, %rsp |
279 | subq $1280, %rsp |
280 | movq __svml_s_trig_data@GOTPCREL(%rip), %rax |
281 | |
282 | /* Check for large and special values */ |
283 | vmovups .L_2il0floatpacket.11(%rip), %zmm14 |
284 | vmovups __sAbsMask(%rax), %zmm5 |
285 | vmovups __sInvPI(%rax), %zmm1 |
286 | vmovups __sRShifter(%rax), %zmm2 |
287 | vmovups __sPI1_FMA(%rax), %zmm3 |
288 | vmovups __sA9(%rax), %zmm8 |
289 | |
290 | /* b) Remove sign using AND operation */ |
291 | vandps %zmm5, %zmm0, %zmm13 |
292 | |
293 | /* |
294 | f) Change destination sign if source sign is negative |
295 | using XOR operation. |
296 | */ |
297 | vandnps %zmm0, %zmm5, %zmm12 |
298 | |
299 | /* |
300 | c) Getting octant Y by 1/Pi multiplication |
301 | d) Add "Right Shifter" value |
302 | */ |
303 | vfmadd213ps %zmm2, %zmm13, %zmm1 |
304 | vcmpps $18, __sRangeReductionVal(%rax), %zmm13, %k1 |
305 | |
306 | /* |
307 | e) Treat obtained value as integer for destination sign setting. |
308 | Shift first bit of this value to the last (sign) position |
309 | */ |
310 | vpslld $31, %zmm1, %zmm7 |
311 | |
312 | /* g) Subtract "Right Shifter" value */ |
313 | vsubps %zmm2, %zmm1, %zmm6 |
314 | |
315 | /* |
316 | h) Subtract Y*PI from X argument, where PI divided to 4 parts: |
317 | X = X - Y*PI1 - Y*PI2 - Y*PI3; |
318 | */ |
319 | vmovaps %zmm13, %zmm4 |
320 | vfnmadd231ps %zmm6, %zmm3, %zmm4 |
321 | vfnmadd231ps __sPI2_FMA(%rax), %zmm6, %zmm4 |
322 | vfnmadd132ps __sPI3_FMA(%rax), %zmm4, %zmm6 |
323 | |
324 | /* |
325 | 2) Polynomial (minimax for sin within [-Pi/2; +Pi/2] interval) |
326 | a) Calculate X^2 = X * X |
327 | b) Calculate polynomial: |
328 | R = X + X * X^2 * (A3 + x^2 * (A5 + ...... |
329 | */ |
330 | vmulps %zmm6, %zmm6, %zmm9 |
331 | vxorps %zmm7, %zmm6, %zmm10 |
332 | vfmadd213ps __sA7(%rax), %zmm9, %zmm8 |
333 | vfmadd213ps __sA5(%rax), %zmm9, %zmm8 |
334 | vfmadd213ps __sA3(%rax), %zmm9, %zmm8 |
335 | vmulps %zmm9, %zmm8, %zmm11 |
336 | vfmadd213ps %zmm10, %zmm10, %zmm11 |
337 | |
338 | /* |
339 | 3) Destination sign setting |
340 | a) Set shifted destination sign using XOR operation: |
341 | R = XOR( R, S ); |
342 | */ |
343 | vxorps %zmm12, %zmm11, %zmm1 |
344 | vpandnd %zmm13, %zmm13, %zmm14{%k1} |
345 | vptestmd %zmm14, %zmm14, %k0 |
346 | kmovw %k0, %ecx |
347 | testl %ecx, %ecx |
348 | jne .LBL_2_3 |
349 | |
350 | .LBL_2_2: |
351 | cfi_remember_state |
352 | vmovaps %zmm1, %zmm0 |
353 | movq %rbp, %rsp |
354 | cfi_def_cfa_register (%rsp) |
355 | popq %rbp |
356 | cfi_adjust_cfa_offset (-8) |
357 | cfi_restore (%rbp) |
358 | ret |
359 | |
360 | .LBL_2_3: |
361 | cfi_restore_state |
362 | vmovups %zmm0, 1152(%rsp) |
363 | vmovups %zmm1, 1216(%rsp) |
364 | je .LBL_2_2 |
365 | |
366 | xorb %dl, %dl |
367 | xorl %eax, %eax |
368 | kmovw %k4, 1048(%rsp) |
369 | kmovw %k5, 1040(%rsp) |
370 | kmovw %k6, 1032(%rsp) |
371 | kmovw %k7, 1024(%rsp) |
372 | vmovups %zmm16, 960(%rsp) |
373 | vmovups %zmm17, 896(%rsp) |
374 | vmovups %zmm18, 832(%rsp) |
375 | vmovups %zmm19, 768(%rsp) |
376 | vmovups %zmm20, 704(%rsp) |
377 | vmovups %zmm21, 640(%rsp) |
378 | vmovups %zmm22, 576(%rsp) |
379 | vmovups %zmm23, 512(%rsp) |
380 | vmovups %zmm24, 448(%rsp) |
381 | vmovups %zmm25, 384(%rsp) |
382 | vmovups %zmm26, 320(%rsp) |
383 | vmovups %zmm27, 256(%rsp) |
384 | vmovups %zmm28, 192(%rsp) |
385 | vmovups %zmm29, 128(%rsp) |
386 | vmovups %zmm30, 64(%rsp) |
387 | vmovups %zmm31, (%rsp) |
388 | movq %rsi, 1064(%rsp) |
389 | movq %rdi, 1056(%rsp) |
390 | movq %r12, 1096(%rsp) |
391 | cfi_offset_rel_rsp (12, 1096) |
392 | movb %dl, %r12b |
393 | movq %r13, 1088(%rsp) |
394 | cfi_offset_rel_rsp (13, 1088) |
395 | movl %ecx, %r13d |
396 | movq %r14, 1080(%rsp) |
397 | cfi_offset_rel_rsp (14, 1080) |
398 | movl %eax, %r14d |
399 | movq %r15, 1072(%rsp) |
400 | cfi_offset_rel_rsp (15, 1072) |
401 | cfi_remember_state |
402 | |
403 | .LBL_2_6: |
404 | btl %r14d, %r13d |
405 | jc .LBL_2_12 |
406 | |
407 | .LBL_2_7: |
408 | lea 1(%r14), %esi |
409 | btl %esi, %r13d |
410 | jc .LBL_2_10 |
411 | |
412 | .LBL_2_8: |
413 | incb %r12b |
414 | addl $2, %r14d |
415 | cmpb $16, %r12b |
416 | jb .LBL_2_6 |
417 | |
418 | kmovw 1048(%rsp), %k4 |
419 | kmovw 1040(%rsp), %k5 |
420 | kmovw 1032(%rsp), %k6 |
421 | kmovw 1024(%rsp), %k7 |
422 | vmovups 960(%rsp), %zmm16 |
423 | vmovups 896(%rsp), %zmm17 |
424 | vmovups 832(%rsp), %zmm18 |
425 | vmovups 768(%rsp), %zmm19 |
426 | vmovups 704(%rsp), %zmm20 |
427 | vmovups 640(%rsp), %zmm21 |
428 | vmovups 576(%rsp), %zmm22 |
429 | vmovups 512(%rsp), %zmm23 |
430 | vmovups 448(%rsp), %zmm24 |
431 | vmovups 384(%rsp), %zmm25 |
432 | vmovups 320(%rsp), %zmm26 |
433 | vmovups 256(%rsp), %zmm27 |
434 | vmovups 192(%rsp), %zmm28 |
435 | vmovups 128(%rsp), %zmm29 |
436 | vmovups 64(%rsp), %zmm30 |
437 | vmovups (%rsp), %zmm31 |
438 | vmovups 1216(%rsp), %zmm1 |
439 | movq 1064(%rsp), %rsi |
440 | movq 1056(%rsp), %rdi |
441 | movq 1096(%rsp), %r12 |
442 | cfi_restore (%r12) |
443 | movq 1088(%rsp), %r13 |
444 | cfi_restore (%r13) |
445 | movq 1080(%rsp), %r14 |
446 | cfi_restore (%r14) |
447 | movq 1072(%rsp), %r15 |
448 | cfi_restore (%r15) |
449 | jmp .LBL_2_2 |
450 | |
451 | .LBL_2_10: |
452 | cfi_restore_state |
453 | movzbl %r12b, %r15d |
454 | vmovss 1156(%rsp,%r15,8), %xmm0 |
455 | vzeroupper |
456 | vmovss 1156(%rsp,%r15,8), %xmm0 |
457 | |
458 | call JUMPTARGET(sinf) |
459 | |
460 | vmovss %xmm0, 1220(%rsp,%r15,8) |
461 | jmp .LBL_2_8 |
462 | |
463 | .LBL_2_12: |
464 | movzbl %r12b, %r15d |
465 | vmovss 1152(%rsp,%r15,8), %xmm0 |
466 | vzeroupper |
467 | vmovss 1152(%rsp,%r15,8), %xmm0 |
468 | |
469 | call JUMPTARGET(sinf) |
470 | |
471 | vmovss %xmm0, 1216(%rsp,%r15,8) |
472 | jmp .LBL_2_7 |
473 | #endif |
474 | END (_ZGVeN16v_sinf_skx) |
475 | |
476 | .section .rodata, "a" |
477 | .L_2il0floatpacket.11: |
478 | .long 0xffffffff,0xffffffff,0xffffffff,0xffffffff,0xffffffff,0xffffffff,0xffffffff,0xffffffff,0xffffffff,0xffffffff,0xffffffff,0xffffffff,0xffffffff,0xffffffff,0xffffffff,0xffffffff |
479 | .type .L_2il0floatpacket.11,@object |
480 | |