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21933112 | 1 | /* Function cos vectorized with AVX-512, KNL and SKX versions. |
dff8da6b | 2 | Copyright (C) 2014-2024 Free Software Foundation, Inc. |
21933112 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 | |
5a82c748 | 17 | <https://www.gnu.org/licenses/>. */ |
21933112 AS |
18 | |
19 | #include <sysdep.h> | |
5872b835 | 20 | #include "svml_d_trig_data.h" |
21933112 AS |
21 | #include "svml_d_wrapper_impl.h" |
22 | ||
e1d082d9 | 23 | .section .text.evex512, "ax", @progbits |
21933112 | 24 | ENTRY (_ZGVeN8v_cos_knl) |
21933112 AS |
25 | /* |
26 | ALGORITHM DESCRIPTION: | |
27 | ||
28 | ( low accuracy ( < 4ulp ) or enhanced performance | |
29 | ( half of correct mantissa ) implementation ) | |
30 | ||
31 | Argument representation: | |
32 | arg + Pi/2 = (N*Pi + R) | |
33 | ||
34 | Result calculation: | |
35 | cos(arg) = sin(arg+Pi/2) = sin(N*Pi + R) = (-1)^N * sin(R) | |
36 | sin(R) is approximated by corresponding polynomial | |
37 | */ | |
38 | pushq %rbp | |
39 | cfi_adjust_cfa_offset (8) | |
40 | cfi_rel_offset (%rbp, 0) | |
41 | movq %rsp, %rbp | |
42 | cfi_def_cfa_register (%rbp) | |
43 | andq $-64, %rsp | |
44 | subq $1280, %rsp | |
5872b835 | 45 | movq __svml_d_trig_data@GOTPCREL(%rip), %rax |
21933112 AS |
46 | |
47 | /* R = X - N*Pi1 */ | |
48 | vmovaps %zmm0, %zmm7 | |
49 | ||
50 | /* Check for large arguments path */ | |
51 | movq $-1, %rcx | |
52 | ||
53 | /* | |
54 | ARGUMENT RANGE REDUCTION: | |
55 | Add Pi/2 to argument: X' = X+Pi/2 | |
56 | */ | |
57 | vaddpd __dHalfPI(%rax), %zmm0, %zmm5 | |
58 | vmovups __dInvPI(%rax), %zmm3 | |
59 | ||
60 | /* Get absolute argument value: X' = |X'| */ | |
61 | vpandq __dAbsMask(%rax), %zmm5, %zmm1 | |
62 | ||
63 | /* Y = X'*InvPi + RS : right shifter add */ | |
64 | vfmadd213pd __dRShifter(%rax), %zmm3, %zmm5 | |
65 | vmovups __dPI1_FMA(%rax), %zmm6 | |
66 | ||
67 | /* N = Y - RS : right shifter sub */ | |
68 | vsubpd __dRShifter(%rax), %zmm5, %zmm4 | |
69 | ||
70 | /* SignRes = Y<<63 : shift LSB to MSB place for result sign */ | |
71 | vpsllq $63, %zmm5, %zmm12 | |
72 | vmovups __dC7(%rax), %zmm8 | |
73 | ||
74 | /* N = N - 0.5 */ | |
75 | vsubpd __dOneHalf(%rax), %zmm4, %zmm10 | |
76 | vcmppd $22, __dRangeVal(%rax), %zmm1, %k1 | |
77 | vpbroadcastq %rcx, %zmm2{%k1}{z} | |
78 | vfnmadd231pd %zmm10, %zmm6, %zmm7 | |
79 | vptestmq %zmm2, %zmm2, %k0 | |
80 | ||
81 | /* R = R - N*Pi2 */ | |
82 | vfnmadd231pd __dPI2_FMA(%rax), %zmm10, %zmm7 | |
83 | kmovw %k0, %ecx | |
84 | movzbl %cl, %ecx | |
85 | ||
86 | /* R = R - N*Pi3 */ | |
87 | vfnmadd132pd __dPI3_FMA(%rax), %zmm7, %zmm10 | |
88 | ||
89 | /* | |
90 | POLYNOMIAL APPROXIMATION: | |
91 | R2 = R*R | |
92 | */ | |
93 | vmulpd %zmm10, %zmm10, %zmm9 | |
94 | vfmadd213pd __dC6(%rax), %zmm9, %zmm8 | |
95 | vfmadd213pd __dC5(%rax), %zmm9, %zmm8 | |
96 | vfmadd213pd __dC4(%rax), %zmm9, %zmm8 | |
97 | ||
98 | /* Poly = C3+R2*(C4+R2*(C5+R2*(C6+R2*C7))) */ | |
99 | vfmadd213pd __dC3(%rax), %zmm9, %zmm8 | |
100 | ||
101 | /* Poly = R+R*(R2*(C1+R2*(C2+R2*Poly))) */ | |
102 | vfmadd213pd __dC2(%rax), %zmm9, %zmm8 | |
103 | vfmadd213pd __dC1(%rax), %zmm9, %zmm8 | |
104 | vmulpd %zmm9, %zmm8, %zmm11 | |
105 | vfmadd213pd %zmm10, %zmm10, %zmm11 | |
106 | ||
107 | /* | |
108 | RECONSTRUCTION: | |
109 | Final sign setting: Res = Poly^SignRes | |
110 | */ | |
111 | vpxorq %zmm12, %zmm11, %zmm1 | |
112 | testl %ecx, %ecx | |
113 | jne .LBL_1_3 | |
114 | ||
115 | .LBL_1_2: | |
116 | cfi_remember_state | |
117 | vmovaps %zmm1, %zmm0 | |
118 | movq %rbp, %rsp | |
119 | cfi_def_cfa_register (%rsp) | |
120 | popq %rbp | |
121 | cfi_adjust_cfa_offset (-8) | |
122 | cfi_restore (%rbp) | |
123 | ret | |
124 | ||
125 | .LBL_1_3: | |
126 | cfi_restore_state | |
127 | vmovups %zmm0, 1152(%rsp) | |
128 | vmovups %zmm1, 1216(%rsp) | |
129 | je .LBL_1_2 | |
130 | ||
131 | xorb %dl, %dl | |
132 | kmovw %k4, 1048(%rsp) | |
133 | xorl %eax, %eax | |
134 | kmovw %k5, 1040(%rsp) | |
135 | kmovw %k6, 1032(%rsp) | |
136 | kmovw %k7, 1024(%rsp) | |
137 | vmovups %zmm16, 960(%rsp) | |
138 | vmovups %zmm17, 896(%rsp) | |
139 | vmovups %zmm18, 832(%rsp) | |
140 | vmovups %zmm19, 768(%rsp) | |
141 | vmovups %zmm20, 704(%rsp) | |
142 | vmovups %zmm21, 640(%rsp) | |
143 | vmovups %zmm22, 576(%rsp) | |
144 | vmovups %zmm23, 512(%rsp) | |
145 | vmovups %zmm24, 448(%rsp) | |
146 | vmovups %zmm25, 384(%rsp) | |
147 | vmovups %zmm26, 320(%rsp) | |
148 | vmovups %zmm27, 256(%rsp) | |
149 | vmovups %zmm28, 192(%rsp) | |
150 | vmovups %zmm29, 128(%rsp) | |
151 | vmovups %zmm30, 64(%rsp) | |
152 | vmovups %zmm31, (%rsp) | |
153 | movq %rsi, 1064(%rsp) | |
154 | movq %rdi, 1056(%rsp) | |
155 | movq %r12, 1096(%rsp) | |
156 | cfi_offset_rel_rsp (12, 1096) | |
157 | movb %dl, %r12b | |
158 | movq %r13, 1088(%rsp) | |
159 | cfi_offset_rel_rsp (13, 1088) | |
160 | movl %ecx, %r13d | |
161 | movq %r14, 1080(%rsp) | |
162 | cfi_offset_rel_rsp (14, 1080) | |
163 | movl %eax, %r14d | |
164 | movq %r15, 1072(%rsp) | |
165 | cfi_offset_rel_rsp (15, 1072) | |
166 | cfi_remember_state | |
167 | ||
168 | .LBL_1_6: | |
169 | btl %r14d, %r13d | |
170 | jc .LBL_1_12 | |
171 | ||
172 | .LBL_1_7: | |
173 | lea 1(%r14), %esi | |
174 | btl %esi, %r13d | |
175 | jc .LBL_1_10 | |
176 | ||
177 | .LBL_1_8: | |
178 | addb $1, %r12b | |
179 | addl $2, %r14d | |
180 | cmpb $16, %r12b | |
181 | jb .LBL_1_6 | |
182 | ||
183 | kmovw 1048(%rsp), %k4 | |
184 | movq 1064(%rsp), %rsi | |
185 | kmovw 1040(%rsp), %k5 | |
186 | movq 1056(%rsp), %rdi | |
187 | kmovw 1032(%rsp), %k6 | |
188 | movq 1096(%rsp), %r12 | |
189 | cfi_restore (%r12) | |
190 | movq 1088(%rsp), %r13 | |
191 | cfi_restore (%r13) | |
192 | kmovw 1024(%rsp), %k7 | |
193 | vmovups 960(%rsp), %zmm16 | |
194 | vmovups 896(%rsp), %zmm17 | |
195 | vmovups 832(%rsp), %zmm18 | |
196 | vmovups 768(%rsp), %zmm19 | |
197 | vmovups 704(%rsp), %zmm20 | |
198 | vmovups 640(%rsp), %zmm21 | |
199 | vmovups 576(%rsp), %zmm22 | |
200 | vmovups 512(%rsp), %zmm23 | |
201 | vmovups 448(%rsp), %zmm24 | |
202 | vmovups 384(%rsp), %zmm25 | |
203 | vmovups 320(%rsp), %zmm26 | |
204 | vmovups 256(%rsp), %zmm27 | |
205 | vmovups 192(%rsp), %zmm28 | |
206 | vmovups 128(%rsp), %zmm29 | |
207 | vmovups 64(%rsp), %zmm30 | |
208 | vmovups (%rsp), %zmm31 | |
209 | movq 1080(%rsp), %r14 | |
210 | cfi_restore (%r14) | |
211 | movq 1072(%rsp), %r15 | |
212 | cfi_restore (%r15) | |
213 | vmovups 1216(%rsp), %zmm1 | |
214 | jmp .LBL_1_2 | |
215 | ||
216 | .LBL_1_10: | |
217 | cfi_restore_state | |
218 | movzbl %r12b, %r15d | |
219 | shlq $4, %r15 | |
220 | vmovsd 1160(%rsp,%r15), %xmm0 | |
86ed8882 | 221 | call JUMPTARGET(cos) |
21933112 AS |
222 | vmovsd %xmm0, 1224(%rsp,%r15) |
223 | jmp .LBL_1_8 | |
224 | ||
225 | .LBL_1_12: | |
226 | movzbl %r12b, %r15d | |
227 | shlq $4, %r15 | |
228 | vmovsd 1152(%rsp,%r15), %xmm0 | |
86ed8882 | 229 | call JUMPTARGET(cos) |
21933112 AS |
230 | vmovsd %xmm0, 1216(%rsp,%r15) |
231 | jmp .LBL_1_7 | |
21933112 AS |
232 | END (_ZGVeN8v_cos_knl) |
233 | ||
234 | ENTRY (_ZGVeN8v_cos_skx) | |
21933112 AS |
235 | /* |
236 | ALGORITHM DESCRIPTION: | |
237 | ||
238 | ( low accuracy ( < 4ulp ) or enhanced performance | |
239 | ( half of correct mantissa ) implementation ) | |
240 | ||
241 | Argument representation: | |
242 | arg + Pi/2 = (N*Pi + R) | |
243 | ||
244 | Result calculation: | |
245 | cos(arg) = sin(arg+Pi/2) = sin(N*Pi + R) = (-1)^N * sin(R) | |
246 | sin(R) is approximated by corresponding polynomial | |
247 | */ | |
248 | pushq %rbp | |
249 | cfi_adjust_cfa_offset (8) | |
250 | cfi_rel_offset (%rbp, 0) | |
251 | movq %rsp, %rbp | |
252 | cfi_def_cfa_register (%rbp) | |
253 | andq $-64, %rsp | |
254 | subq $1280, %rsp | |
5872b835 | 255 | movq __svml_d_trig_data@GOTPCREL(%rip), %rax |
21933112 AS |
256 | |
257 | /* R = X - N*Pi1 */ | |
258 | vmovaps %zmm0, %zmm8 | |
259 | ||
260 | /* Check for large arguments path */ | |
78c9ec90 | 261 | vpternlogd $0xff, %zmm2, %zmm2, %zmm2 |
21933112 AS |
262 | |
263 | /* | |
264 | ARGUMENT RANGE REDUCTION: | |
265 | Add Pi/2 to argument: X' = X+Pi/2 | |
266 | */ | |
267 | vaddpd __dHalfPI(%rax), %zmm0, %zmm6 | |
268 | vmovups __dInvPI(%rax), %zmm3 | |
269 | vmovups __dRShifter(%rax), %zmm4 | |
270 | vmovups __dPI1_FMA(%rax), %zmm7 | |
271 | vmovups __dC7(%rax), %zmm9 | |
272 | ||
273 | /* Get absolute argument value: X' = |X'| */ | |
274 | vandpd __dAbsMask(%rax), %zmm6, %zmm1 | |
275 | ||
276 | /* Y = X'*InvPi + RS : right shifter add */ | |
277 | vfmadd213pd %zmm4, %zmm3, %zmm6 | |
278 | vcmppd $18, __dRangeVal(%rax), %zmm1, %k1 | |
279 | ||
280 | /* SignRes = Y<<63 : shift LSB to MSB place for result sign */ | |
281 | vpsllq $63, %zmm6, %zmm13 | |
282 | ||
283 | /* N = Y - RS : right shifter sub */ | |
284 | vsubpd %zmm4, %zmm6, %zmm5 | |
285 | ||
286 | /* N = N - 0.5 */ | |
287 | vsubpd __dOneHalf(%rax), %zmm5, %zmm11 | |
288 | vfnmadd231pd %zmm11, %zmm7, %zmm8 | |
289 | ||
290 | /* R = R - N*Pi2 */ | |
291 | vfnmadd231pd __dPI2_FMA(%rax), %zmm11, %zmm8 | |
292 | ||
293 | /* R = R - N*Pi3 */ | |
294 | vfnmadd132pd __dPI3_FMA(%rax), %zmm8, %zmm11 | |
295 | ||
296 | /* | |
297 | POLYNOMIAL APPROXIMATION: | |
298 | R2 = R*R | |
299 | */ | |
300 | vmulpd %zmm11, %zmm11, %zmm10 | |
301 | vfmadd213pd __dC6(%rax), %zmm10, %zmm9 | |
302 | vfmadd213pd __dC5(%rax), %zmm10, %zmm9 | |
303 | vfmadd213pd __dC4(%rax), %zmm10, %zmm9 | |
304 | ||
305 | /* Poly = C3+R2*(C4+R2*(C5+R2*(C6+R2*C7))) */ | |
306 | vfmadd213pd __dC3(%rax), %zmm10, %zmm9 | |
307 | ||
308 | /* Poly = R+R*(R2*(C1+R2*(C2+R2*Poly))) */ | |
309 | vfmadd213pd __dC2(%rax), %zmm10, %zmm9 | |
310 | vfmadd213pd __dC1(%rax), %zmm10, %zmm9 | |
311 | vmulpd %zmm10, %zmm9, %zmm12 | |
312 | vfmadd213pd %zmm11, %zmm11, %zmm12 | |
313 | vpandnq %zmm1, %zmm1, %zmm2{%k1} | |
314 | vcmppd $3, %zmm2, %zmm2, %k0 | |
315 | ||
316 | /* | |
317 | RECONSTRUCTION: | |
318 | Final sign setting: Res = Poly^SignRes | |
319 | */ | |
320 | vxorpd %zmm13, %zmm12, %zmm1 | |
321 | kmovw %k0, %ecx | |
322 | testl %ecx, %ecx | |
323 | jne .LBL_2_3 | |
324 | ||
325 | .LBL_2_2: | |
326 | cfi_remember_state | |
327 | vmovaps %zmm1, %zmm0 | |
328 | movq %rbp, %rsp | |
329 | cfi_def_cfa_register (%rsp) | |
330 | popq %rbp | |
331 | cfi_adjust_cfa_offset (-8) | |
332 | cfi_restore (%rbp) | |
333 | ret | |
334 | ||
335 | .LBL_2_3: | |
336 | cfi_restore_state | |
337 | vmovups %zmm0, 1152(%rsp) | |
338 | vmovups %zmm1, 1216(%rsp) | |
339 | je .LBL_2_2 | |
340 | ||
341 | xorb %dl, %dl | |
342 | xorl %eax, %eax | |
343 | kmovw %k4, 1048(%rsp) | |
344 | kmovw %k5, 1040(%rsp) | |
345 | kmovw %k6, 1032(%rsp) | |
346 | kmovw %k7, 1024(%rsp) | |
347 | vmovups %zmm16, 960(%rsp) | |
348 | vmovups %zmm17, 896(%rsp) | |
349 | vmovups %zmm18, 832(%rsp) | |
350 | vmovups %zmm19, 768(%rsp) | |
351 | vmovups %zmm20, 704(%rsp) | |
352 | vmovups %zmm21, 640(%rsp) | |
353 | vmovups %zmm22, 576(%rsp) | |
354 | vmovups %zmm23, 512(%rsp) | |
355 | vmovups %zmm24, 448(%rsp) | |
356 | vmovups %zmm25, 384(%rsp) | |
357 | vmovups %zmm26, 320(%rsp) | |
358 | vmovups %zmm27, 256(%rsp) | |
359 | vmovups %zmm28, 192(%rsp) | |
360 | vmovups %zmm29, 128(%rsp) | |
361 | vmovups %zmm30, 64(%rsp) | |
362 | vmovups %zmm31, (%rsp) | |
363 | movq %rsi, 1064(%rsp) | |
364 | movq %rdi, 1056(%rsp) | |
365 | movq %r12, 1096(%rsp) | |
366 | cfi_offset_rel_rsp (12, 1096) | |
367 | movb %dl, %r12b | |
368 | movq %r13, 1088(%rsp) | |
369 | cfi_offset_rel_rsp (13, 1088) | |
370 | movl %ecx, %r13d | |
371 | movq %r14, 1080(%rsp) | |
372 | cfi_offset_rel_rsp (14, 1080) | |
373 | movl %eax, %r14d | |
374 | movq %r15, 1072(%rsp) | |
375 | cfi_offset_rel_rsp (15, 1072) | |
376 | cfi_remember_state | |
377 | ||
378 | .LBL_2_6: | |
379 | btl %r14d, %r13d | |
380 | jc .LBL_2_12 | |
381 | ||
382 | .LBL_2_7: | |
383 | lea 1(%r14), %esi | |
384 | btl %esi, %r13d | |
385 | jc .LBL_2_10 | |
386 | ||
387 | .LBL_2_8: | |
388 | incb %r12b | |
389 | addl $2, %r14d | |
390 | cmpb $16, %r12b | |
391 | jb .LBL_2_6 | |
392 | ||
393 | kmovw 1048(%rsp), %k4 | |
394 | kmovw 1040(%rsp), %k5 | |
395 | kmovw 1032(%rsp), %k6 | |
396 | kmovw 1024(%rsp), %k7 | |
397 | vmovups 960(%rsp), %zmm16 | |
398 | vmovups 896(%rsp), %zmm17 | |
399 | vmovups 832(%rsp), %zmm18 | |
400 | vmovups 768(%rsp), %zmm19 | |
401 | vmovups 704(%rsp), %zmm20 | |
402 | vmovups 640(%rsp), %zmm21 | |
403 | vmovups 576(%rsp), %zmm22 | |
404 | vmovups 512(%rsp), %zmm23 | |
405 | vmovups 448(%rsp), %zmm24 | |
406 | vmovups 384(%rsp), %zmm25 | |
407 | vmovups 320(%rsp), %zmm26 | |
408 | vmovups 256(%rsp), %zmm27 | |
409 | vmovups 192(%rsp), %zmm28 | |
410 | vmovups 128(%rsp), %zmm29 | |
411 | vmovups 64(%rsp), %zmm30 | |
412 | vmovups (%rsp), %zmm31 | |
413 | vmovups 1216(%rsp), %zmm1 | |
414 | movq 1064(%rsp), %rsi | |
415 | movq 1056(%rsp), %rdi | |
416 | movq 1096(%rsp), %r12 | |
417 | cfi_restore (%r12) | |
418 | movq 1088(%rsp), %r13 | |
419 | cfi_restore (%r13) | |
420 | movq 1080(%rsp), %r14 | |
421 | cfi_restore (%r14) | |
422 | movq 1072(%rsp), %r15 | |
423 | cfi_restore (%r15) | |
424 | jmp .LBL_2_2 | |
425 | ||
426 | .LBL_2_10: | |
427 | cfi_restore_state | |
428 | movzbl %r12b, %r15d | |
429 | shlq $4, %r15 | |
430 | vmovsd 1160(%rsp,%r15), %xmm0 | |
431 | vzeroupper | |
432 | vmovsd 1160(%rsp,%r15), %xmm0 | |
433 | ||
86ed8882 | 434 | call JUMPTARGET(cos) |
21933112 AS |
435 | |
436 | vmovsd %xmm0, 1224(%rsp,%r15) | |
437 | jmp .LBL_2_8 | |
438 | ||
439 | .LBL_2_12: | |
440 | movzbl %r12b, %r15d | |
441 | shlq $4, %r15 | |
442 | vmovsd 1152(%rsp,%r15), %xmm0 | |
443 | vzeroupper | |
444 | vmovsd 1152(%rsp,%r15), %xmm0 | |
445 | ||
86ed8882 | 446 | call JUMPTARGET(cos) |
21933112 AS |
447 | |
448 | vmovsd %xmm0, 1216(%rsp,%r15) | |
449 | jmp .LBL_2_7 | |
21933112 | 450 | END (_ZGVeN8v_cos_skx) |