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1663be05 | 1 | /* Function expf vectorized with AVX-512. KNL and SKX versions. |
dff8da6b | 2 | Copyright (C) 2014-2024 Free Software Foundation, Inc. |
1663be05 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/>. */ |
1663be05 AS |
18 | |
19 | #include <sysdep.h> | |
20 | #include "svml_s_expf_data.h" | |
21 | #include "svml_s_wrapper_impl.h" | |
22 | ||
e1d082d9 | 23 | .section .text.evex512, "ax", @progbits |
1663be05 | 24 | ENTRY (_ZGVeN16v_expf_knl) |
1663be05 AS |
25 | /* |
26 | ALGORITHM DESCRIPTION: | |
27 | ||
28 | Argument representation: | |
29 | M = rint(X*2^k/ln2) = 2^k*N+j | |
30 | X = M*ln2/2^k + r = N*ln2 + ln2*(j/2^k) + r | |
31 | then -ln2/2^(k+1) < r < ln2/2^(k+1) | |
32 | Alternatively: | |
33 | M = trunc(X*2^k/ln2) | |
34 | then 0 < r < ln2/2^k | |
35 | ||
36 | Result calculation: | |
37 | exp(X) = exp(N*ln2 + ln2*(j/2^k) + r) | |
38 | = 2^N * 2^(j/2^k) * exp(r) | |
39 | 2^N is calculated by bit manipulation | |
40 | 2^(j/2^k) is computed from table lookup | |
41 | exp(r) is approximated by polynomial | |
42 | ||
43 | The table lookup is skipped if k = 0. | |
44 | For low accuracy approximation, exp(r) ~ 1 or 1+r. */ | |
45 | ||
99017161 | 46 | pushq %rbp |
1663be05 AS |
47 | cfi_adjust_cfa_offset (8) |
48 | cfi_rel_offset (%rbp, 0) | |
49 | movq %rsp, %rbp | |
50 | cfi_def_cfa_register (%rbp) | |
51 | andq $-64, %rsp | |
52 | subq $1280, %rsp | |
53 | movq __svml_sexp_data@GOTPCREL(%rip), %rax | |
54 | ||
55 | /* r = x-n*ln2_hi/2^k */ | |
56 | vmovaps %zmm0, %zmm6 | |
57 | ||
58 | /* compare against threshold */ | |
59 | movl $-1, %ecx | |
60 | vmovups __sInvLn2(%rax), %zmm3 | |
61 | vmovups __sLn2hi(%rax), %zmm5 | |
62 | ||
63 | /* m = x*2^k/ln2 + shifter */ | |
64 | vfmadd213ps __sShifter(%rax), %zmm0, %zmm3 | |
65 | vmovups __sPC5(%rax), %zmm9 | |
66 | ||
67 | /* n = m - shifter = rint(x*2^k/ln2) */ | |
68 | vsubps __sShifter(%rax), %zmm3, %zmm7 | |
69 | ||
70 | /* remove sign of x by "and" operation */ | |
71 | vpandd __iAbsMask(%rax), %zmm0, %zmm1 | |
72 | vpaddd __iBias(%rax), %zmm3, %zmm4 | |
73 | vpcmpgtd __iDomainRange(%rax), %zmm1, %k1 | |
74 | ||
75 | /* compute 2^N with "shift" */ | |
76 | vpslld $23, %zmm4, %zmm8 | |
77 | vfnmadd231ps %zmm7, %zmm5, %zmm6 | |
78 | vpbroadcastd %ecx, %zmm2{%k1}{z} | |
79 | ||
80 | /* r = r-n*ln2_lo/2^k = x - n*ln2/2^k */ | |
81 | vfnmadd132ps __sLn2lo(%rax), %zmm6, %zmm7 | |
82 | ||
83 | /* set mask for overflow/underflow */ | |
84 | vptestmd %zmm2, %zmm2, %k0 | |
85 | kmovw %k0, %ecx | |
86 | ||
87 | /* c5*r+c4 */ | |
88 | vfmadd213ps __sPC4(%rax), %zmm7, %zmm9 | |
89 | ||
90 | /* (c5*r+c4)*r+c3 */ | |
91 | vfmadd213ps __sPC3(%rax), %zmm7, %zmm9 | |
92 | ||
93 | /* ((c5*r+c4)*r+c3)*r+c2 */ | |
94 | vfmadd213ps __sPC2(%rax), %zmm7, %zmm9 | |
95 | ||
96 | /* (((c5*r+c4)*r+c3)*r+c2)*r+c1 */ | |
97 | vfmadd213ps __sPC1(%rax), %zmm7, %zmm9 | |
98 | ||
99 | /* exp(r) = ((((c5*r+c4)*r+c3)*r+c2)*r+c1)*r+c0 */ | |
100 | vfmadd213ps __sPC0(%rax), %zmm7, %zmm9 | |
101 | ||
102 | /* 2^N*exp(r) */ | |
103 | vmulps %zmm9, %zmm8, %zmm1 | |
104 | testl %ecx, %ecx | |
105 | jne .LBL_1_3 | |
106 | ||
107 | .LBL_1_2: | |
108 | cfi_remember_state | |
109 | vmovaps %zmm1, %zmm0 | |
110 | movq %rbp, %rsp | |
111 | cfi_def_cfa_register (%rsp) | |
112 | popq %rbp | |
113 | cfi_adjust_cfa_offset (-8) | |
114 | cfi_restore (%rbp) | |
115 | ret | |
116 | ||
117 | .LBL_1_3: | |
118 | cfi_restore_state | |
119 | vmovups %zmm0, 1152(%rsp) | |
120 | vmovups %zmm1, 1216(%rsp) | |
121 | je .LBL_1_2 | |
122 | ||
123 | xorb %dl, %dl | |
124 | kmovw %k4, 1048(%rsp) | |
125 | xorl %eax, %eax | |
126 | kmovw %k5, 1040(%rsp) | |
127 | kmovw %k6, 1032(%rsp) | |
128 | kmovw %k7, 1024(%rsp) | |
129 | vmovups %zmm16, 960(%rsp) | |
130 | vmovups %zmm17, 896(%rsp) | |
131 | vmovups %zmm18, 832(%rsp) | |
132 | vmovups %zmm19, 768(%rsp) | |
133 | vmovups %zmm20, 704(%rsp) | |
134 | vmovups %zmm21, 640(%rsp) | |
135 | vmovups %zmm22, 576(%rsp) | |
136 | vmovups %zmm23, 512(%rsp) | |
137 | vmovups %zmm24, 448(%rsp) | |
138 | vmovups %zmm25, 384(%rsp) | |
139 | vmovups %zmm26, 320(%rsp) | |
140 | vmovups %zmm27, 256(%rsp) | |
141 | vmovups %zmm28, 192(%rsp) | |
142 | vmovups %zmm29, 128(%rsp) | |
143 | vmovups %zmm30, 64(%rsp) | |
144 | vmovups %zmm31, (%rsp) | |
145 | movq %rsi, 1064(%rsp) | |
146 | movq %rdi, 1056(%rsp) | |
147 | movq %r12, 1096(%rsp) | |
148 | cfi_offset_rel_rsp (12, 1096) | |
149 | movb %dl, %r12b | |
150 | movq %r13, 1088(%rsp) | |
151 | cfi_offset_rel_rsp (13, 1088) | |
152 | movl %ecx, %r13d | |
153 | movq %r14, 1080(%rsp) | |
154 | cfi_offset_rel_rsp (14, 1080) | |
155 | movl %eax, %r14d | |
156 | movq %r15, 1072(%rsp) | |
157 | cfi_offset_rel_rsp (15, 1072) | |
158 | cfi_remember_state | |
159 | ||
160 | .LBL_1_6: | |
161 | btl %r14d, %r13d | |
162 | jc .LBL_1_12 | |
163 | ||
164 | .LBL_1_7: | |
165 | lea 1(%r14), %esi | |
166 | btl %esi, %r13d | |
167 | jc .LBL_1_10 | |
168 | ||
169 | .LBL_1_8: | |
170 | addb $1, %r12b | |
171 | addl $2, %r14d | |
172 | cmpb $16, %r12b | |
173 | jb .LBL_1_6 | |
174 | ||
175 | kmovw 1048(%rsp), %k4 | |
176 | movq 1064(%rsp), %rsi | |
177 | kmovw 1040(%rsp), %k5 | |
178 | movq 1056(%rsp), %rdi | |
179 | kmovw 1032(%rsp), %k6 | |
180 | movq 1096(%rsp), %r12 | |
181 | cfi_restore (%r12) | |
182 | movq 1088(%rsp), %r13 | |
183 | cfi_restore (%r13) | |
184 | kmovw 1024(%rsp), %k7 | |
185 | vmovups 960(%rsp), %zmm16 | |
186 | vmovups 896(%rsp), %zmm17 | |
187 | vmovups 832(%rsp), %zmm18 | |
188 | vmovups 768(%rsp), %zmm19 | |
189 | vmovups 704(%rsp), %zmm20 | |
190 | vmovups 640(%rsp), %zmm21 | |
191 | vmovups 576(%rsp), %zmm22 | |
192 | vmovups 512(%rsp), %zmm23 | |
193 | vmovups 448(%rsp), %zmm24 | |
194 | vmovups 384(%rsp), %zmm25 | |
195 | vmovups 320(%rsp), %zmm26 | |
196 | vmovups 256(%rsp), %zmm27 | |
197 | vmovups 192(%rsp), %zmm28 | |
198 | vmovups 128(%rsp), %zmm29 | |
199 | vmovups 64(%rsp), %zmm30 | |
200 | vmovups (%rsp), %zmm31 | |
201 | movq 1080(%rsp), %r14 | |
202 | cfi_restore (%r14) | |
203 | movq 1072(%rsp), %r15 | |
204 | cfi_restore (%r15) | |
205 | vmovups 1216(%rsp), %zmm1 | |
206 | jmp .LBL_1_2 | |
207 | ||
208 | .LBL_1_10: | |
209 | cfi_restore_state | |
210 | movzbl %r12b, %r15d | |
211 | vmovss 1156(%rsp,%r15,8), %xmm0 | |
d0007dc5 | 212 | call JUMPTARGET(expf) |
1663be05 AS |
213 | vmovss %xmm0, 1220(%rsp,%r15,8) |
214 | jmp .LBL_1_8 | |
215 | ||
216 | .LBL_1_12: | |
217 | movzbl %r12b, %r15d | |
218 | vmovss 1152(%rsp,%r15,8), %xmm0 | |
d0007dc5 | 219 | call JUMPTARGET(expf) |
1663be05 AS |
220 | vmovss %xmm0, 1216(%rsp,%r15,8) |
221 | jmp .LBL_1_7 | |
222 | ||
1663be05 AS |
223 | END (_ZGVeN16v_expf_knl) |
224 | ||
225 | ENTRY (_ZGVeN16v_expf_skx) | |
1663be05 AS |
226 | /* |
227 | ALGORITHM DESCRIPTION: | |
228 | ||
229 | Argument representation: | |
230 | M = rint(X*2^k/ln2) = 2^k*N+j | |
231 | X = M*ln2/2^k + r = N*ln2 + ln2*(j/2^k) + r | |
232 | then -ln2/2^(k+1) < r < ln2/2^(k+1) | |
233 | Alternatively: | |
234 | M = trunc(X*2^k/ln2) | |
235 | then 0 < r < ln2/2^k | |
236 | ||
237 | Result calculation: | |
238 | exp(X) = exp(N*ln2 + ln2*(j/2^k) + r) | |
239 | = 2^N * 2^(j/2^k) * exp(r) | |
240 | 2^N is calculated by bit manipulation | |
241 | 2^(j/2^k) is computed from table lookup | |
242 | exp(r) is approximated by polynomial | |
243 | ||
244 | The table lookup is skipped if k = 0. | |
245 | For low accuracy approximation, exp(r) ~ 1 or 1+r. */ | |
246 | ||
247 | pushq %rbp | |
248 | cfi_adjust_cfa_offset (8) | |
249 | cfi_rel_offset (%rbp, 0) | |
250 | movq %rsp, %rbp | |
251 | cfi_def_cfa_register (%rbp) | |
252 | andq $-64, %rsp | |
253 | subq $1280, %rsp | |
254 | movq __svml_sexp_data@GOTPCREL(%rip), %rax | |
255 | ||
256 | /* r = x-n*ln2_hi/2^k */ | |
257 | vmovaps %zmm0, %zmm7 | |
258 | ||
259 | /* compare against threshold */ | |
78c9ec90 | 260 | vpternlogd $0xff, %zmm3, %zmm3, %zmm3 |
1663be05 AS |
261 | vmovups __sInvLn2(%rax), %zmm4 |
262 | vmovups __sShifter(%rax), %zmm1 | |
263 | vmovups __sLn2hi(%rax), %zmm6 | |
264 | vmovups __sPC5(%rax), %zmm10 | |
265 | ||
266 | /* m = x*2^k/ln2 + shifter */ | |
267 | vfmadd213ps %zmm1, %zmm0, %zmm4 | |
268 | ||
269 | /* n = m - shifter = rint(x*2^k/ln2) */ | |
270 | vsubps %zmm1, %zmm4, %zmm8 | |
271 | vpaddd __iBias(%rax), %zmm4, %zmm5 | |
272 | vfnmadd231ps %zmm8, %zmm6, %zmm7 | |
273 | ||
274 | /* compute 2^N with "shift" */ | |
275 | vpslld $23, %zmm5, %zmm9 | |
276 | ||
277 | /* r = r-n*ln2_lo/2^k = x - n*ln2/2^k */ | |
278 | vfnmadd132ps __sLn2lo(%rax), %zmm7, %zmm8 | |
279 | ||
280 | /* c5*r+c4 */ | |
281 | vfmadd213ps __sPC4(%rax), %zmm8, %zmm10 | |
282 | ||
283 | /* (c5*r+c4)*r+c3 */ | |
284 | vfmadd213ps __sPC3(%rax), %zmm8, %zmm10 | |
285 | ||
286 | /* ((c5*r+c4)*r+c3)*r+c2 */ | |
287 | vfmadd213ps __sPC2(%rax), %zmm8, %zmm10 | |
288 | ||
289 | /* (((c5*r+c4)*r+c3)*r+c2)*r+c1 */ | |
290 | vfmadd213ps __sPC1(%rax), %zmm8, %zmm10 | |
291 | ||
292 | /* exp(r) = ((((c5*r+c4)*r+c3)*r+c2)*r+c1)*r+c0 */ | |
293 | vfmadd213ps __sPC0(%rax), %zmm8, %zmm10 | |
294 | ||
295 | /* 2^N*exp(r) */ | |
296 | vmulps %zmm10, %zmm9, %zmm1 | |
297 | ||
298 | /* remove sign of x by "and" operation */ | |
299 | vpandd __iAbsMask(%rax), %zmm0, %zmm2 | |
300 | vpcmpd $2, __iDomainRange(%rax), %zmm2, %k1 | |
301 | vpandnd %zmm2, %zmm2, %zmm3{%k1} | |
302 | ||
303 | /* set mask for overflow/underflow */ | |
304 | vptestmd %zmm3, %zmm3, %k0 | |
305 | kmovw %k0, %ecx | |
306 | testl %ecx, %ecx | |
307 | jne .LBL_2_3 | |
308 | ||
309 | .LBL_2_2: | |
310 | cfi_remember_state | |
311 | vmovaps %zmm1, %zmm0 | |
312 | movq %rbp, %rsp | |
313 | cfi_def_cfa_register (%rsp) | |
314 | popq %rbp | |
315 | cfi_adjust_cfa_offset (-8) | |
316 | cfi_restore (%rbp) | |
317 | ret | |
318 | ||
319 | .LBL_2_3: | |
320 | cfi_restore_state | |
321 | vmovups %zmm0, 1152(%rsp) | |
322 | vmovups %zmm1, 1216(%rsp) | |
323 | je .LBL_2_2 | |
324 | ||
325 | xorb %dl, %dl | |
326 | xorl %eax, %eax | |
327 | kmovw %k4, 1048(%rsp) | |
328 | kmovw %k5, 1040(%rsp) | |
329 | kmovw %k6, 1032(%rsp) | |
330 | kmovw %k7, 1024(%rsp) | |
331 | vmovups %zmm16, 960(%rsp) | |
332 | vmovups %zmm17, 896(%rsp) | |
333 | vmovups %zmm18, 832(%rsp) | |
334 | vmovups %zmm19, 768(%rsp) | |
335 | vmovups %zmm20, 704(%rsp) | |
336 | vmovups %zmm21, 640(%rsp) | |
337 | vmovups %zmm22, 576(%rsp) | |
338 | vmovups %zmm23, 512(%rsp) | |
339 | vmovups %zmm24, 448(%rsp) | |
340 | vmovups %zmm25, 384(%rsp) | |
341 | vmovups %zmm26, 320(%rsp) | |
342 | vmovups %zmm27, 256(%rsp) | |
343 | vmovups %zmm28, 192(%rsp) | |
344 | vmovups %zmm29, 128(%rsp) | |
345 | vmovups %zmm30, 64(%rsp) | |
346 | vmovups %zmm31, (%rsp) | |
347 | movq %rsi, 1064(%rsp) | |
348 | movq %rdi, 1056(%rsp) | |
349 | movq %r12, 1096(%rsp) | |
350 | cfi_offset_rel_rsp (12, 1096) | |
351 | movb %dl, %r12b | |
352 | movq %r13, 1088(%rsp) | |
353 | cfi_offset_rel_rsp (13, 1088) | |
354 | movl %ecx, %r13d | |
355 | movq %r14, 1080(%rsp) | |
356 | cfi_offset_rel_rsp (14, 1080) | |
357 | movl %eax, %r14d | |
358 | movq %r15, 1072(%rsp) | |
359 | cfi_offset_rel_rsp (15, 1072) | |
360 | cfi_remember_state | |
361 | ||
362 | ||
363 | .LBL_2_6: | |
364 | btl %r14d, %r13d | |
365 | jc .LBL_2_12 | |
366 | ||
367 | .LBL_2_7: | |
368 | lea 1(%r14), %esi | |
369 | btl %esi, %r13d | |
370 | jc .LBL_2_10 | |
371 | ||
372 | .LBL_2_8: | |
373 | incb %r12b | |
374 | addl $2, %r14d | |
375 | cmpb $16, %r12b | |
376 | jb .LBL_2_6 | |
377 | ||
378 | kmovw 1048(%rsp), %k4 | |
379 | kmovw 1040(%rsp), %k5 | |
380 | kmovw 1032(%rsp), %k6 | |
381 | kmovw 1024(%rsp), %k7 | |
382 | vmovups 960(%rsp), %zmm16 | |
383 | vmovups 896(%rsp), %zmm17 | |
384 | vmovups 832(%rsp), %zmm18 | |
385 | vmovups 768(%rsp), %zmm19 | |
386 | vmovups 704(%rsp), %zmm20 | |
387 | vmovups 640(%rsp), %zmm21 | |
388 | vmovups 576(%rsp), %zmm22 | |
389 | vmovups 512(%rsp), %zmm23 | |
390 | vmovups 448(%rsp), %zmm24 | |
391 | vmovups 384(%rsp), %zmm25 | |
392 | vmovups 320(%rsp), %zmm26 | |
393 | vmovups 256(%rsp), %zmm27 | |
394 | vmovups 192(%rsp), %zmm28 | |
395 | vmovups 128(%rsp), %zmm29 | |
396 | vmovups 64(%rsp), %zmm30 | |
397 | vmovups (%rsp), %zmm31 | |
398 | vmovups 1216(%rsp), %zmm1 | |
399 | movq 1064(%rsp), %rsi | |
400 | movq 1056(%rsp), %rdi | |
401 | movq 1096(%rsp), %r12 | |
402 | cfi_restore (%r12) | |
403 | movq 1088(%rsp), %r13 | |
404 | cfi_restore (%r13) | |
405 | movq 1080(%rsp), %r14 | |
406 | cfi_restore (%r14) | |
407 | movq 1072(%rsp), %r15 | |
408 | cfi_restore (%r15) | |
409 | jmp .LBL_2_2 | |
410 | ||
411 | .LBL_2_10: | |
412 | cfi_restore_state | |
413 | movzbl %r12b, %r15d | |
414 | vmovss 1156(%rsp,%r15,8), %xmm0 | |
415 | vzeroupper | |
416 | vmovss 1156(%rsp,%r15,8), %xmm0 | |
417 | ||
d0007dc5 | 418 | call JUMPTARGET(expf) |
1663be05 AS |
419 | |
420 | vmovss %xmm0, 1220(%rsp,%r15,8) | |
421 | jmp .LBL_2_8 | |
422 | ||
423 | .LBL_2_12: | |
424 | movzbl %r12b, %r15d | |
425 | vmovss 1152(%rsp,%r15,8), %xmm0 | |
426 | vzeroupper | |
427 | vmovss 1152(%rsp,%r15,8), %xmm0 | |
428 | ||
d0007dc5 | 429 | call JUMPTARGET(expf) |
1663be05 AS |
430 | |
431 | vmovss %xmm0, 1216(%rsp,%r15,8) | |
432 | jmp .LBL_2_7 | |
433 | ||
1663be05 | 434 | END (_ZGVeN16v_expf_skx) |