1/* Function logf vectorized with AVX-512. KNL and SKX versions.
2 Copyright (C) 2014-2018 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 <http://www.gnu.org/licenses/>. */
18
19#include <sysdep.h>
20#include "svml_s_logf_data.h"
21#include "svml_s_wrapper_impl.h"
22
23 .text
24ENTRY (_ZGVeN16v_logf_knl)
25#ifndef HAVE_AVX512DQ_ASM_SUPPORT
26WRAPPER_IMPL_AVX512 _ZGVdN8v_logf
27#else
28/*
29 ALGORITHM DESCRIPTION:
30
31 log(x) = exponent_x*log(2) + log(mantissa_x), if mantissa_x<4/3
32 log(x) = (exponent_x+1)*log(2) + log(0.5*mantissa_x), if mantissa_x>4/3
33
34 R = mantissa_x - 1, if mantissa_x<4/3
35 R = 0.5*mantissa_x - 1, if mantissa_x>4/3
36 |R|< 1/3
37
38 log(1+R) is approximated as a polynomial: degree 9 for 1-ulp,
39 degree 7 for 4-ulp, degree 3 for half-precision. */
40
41 pushq %rbp
42 cfi_adjust_cfa_offset (8)
43 cfi_rel_offset (%rbp, 0)
44 movq %rsp, %rbp
45 cfi_def_cfa_register (%rbp)
46 andq $-64, %rsp
47 subq $1280, %rsp
48 movq __svml_slog_data@GOTPCREL(%rip), %rax
49 movl $-1, %ecx
50
51/* reduction: compute r,n */
52 vpsubd _iBrkValue(%rax), %zmm0, %zmm2
53 vmovups _sPoly_7(%rax), %zmm7
54 vpandd _iOffExpoMask(%rax), %zmm2, %zmm3
55
56/* exponent_x (mantissa_x<4/3) or exponent_x+1 (mantissa_x>4/3) */
57 vpsrad $23, %zmm2, %zmm4
58
59/* check for working range,
60 set special argument mask (denormals/zero/Inf/NaN)
61 */
62 vpaddd _iHiDelta(%rax), %zmm0, %zmm1
63
64/* mantissa_x (mantissa_x<4/3), or 0.5*mantissa_x (mantissa_x>4/3) */
65 vpaddd _iBrkValue(%rax), %zmm3, %zmm6
66 vpcmpd $1, _iLoRange(%rax), %zmm1, %k1
67 vcvtdq2ps {rn-sae}, %zmm4, %zmm1
68
69/* reduced argument R */
70 vsubps _sOne(%rax), %zmm6, %zmm8
71 vpbroadcastd %ecx, %zmm5{%k1}{z}
72
73/* polynomial evaluation starts here */
74 vfmadd213ps _sPoly_6(%rax), %zmm8, %zmm7
75 vptestmd %zmm5, %zmm5, %k0
76 kmovw %k0, %ecx
77 vfmadd213ps _sPoly_5(%rax), %zmm8, %zmm7
78 vfmadd213ps _sPoly_4(%rax), %zmm8, %zmm7
79 vfmadd213ps _sPoly_3(%rax), %zmm8, %zmm7
80 vfmadd213ps _sPoly_2(%rax), %zmm8, %zmm7
81 vfmadd213ps _sPoly_1(%rax), %zmm8, %zmm7
82 vmulps %zmm8, %zmm7, %zmm9
83
84/* polynomial evaluation end */
85 vfmadd213ps %zmm8, %zmm8, %zmm9
86
87/*
88 final reconstruction:
89 add exponent_value*log2 to polynomial result
90 */
91 vfmadd132ps _sLn2(%rax), %zmm9, %zmm1
92 testl %ecx, %ecx
93 jne .LBL_1_3
94
95.LBL_1_2:
96 cfi_remember_state
97 vmovaps %zmm1, %zmm0
98 movq %rbp, %rsp
99 cfi_def_cfa_register (%rsp)
100 popq %rbp
101 cfi_adjust_cfa_offset (-8)
102 cfi_restore (%rbp)
103 ret
104
105.LBL_1_3:
106 cfi_restore_state
107 vmovups %zmm0, 1152(%rsp)
108 vmovups %zmm1, 1216(%rsp)
109 je .LBL_1_2
110
111 xorb %dl, %dl
112 kmovw %k4, 1048(%rsp)
113 xorl %eax, %eax
114 kmovw %k5, 1040(%rsp)
115 kmovw %k6, 1032(%rsp)
116 kmovw %k7, 1024(%rsp)
117 vmovups %zmm16, 960(%rsp)
118 vmovups %zmm17, 896(%rsp)
119 vmovups %zmm18, 832(%rsp)
120 vmovups %zmm19, 768(%rsp)
121 vmovups %zmm20, 704(%rsp)
122 vmovups %zmm21, 640(%rsp)
123 vmovups %zmm22, 576(%rsp)
124 vmovups %zmm23, 512(%rsp)
125 vmovups %zmm24, 448(%rsp)
126 vmovups %zmm25, 384(%rsp)
127 vmovups %zmm26, 320(%rsp)
128 vmovups %zmm27, 256(%rsp)
129 vmovups %zmm28, 192(%rsp)
130 vmovups %zmm29, 128(%rsp)
131 vmovups %zmm30, 64(%rsp)
132 vmovups %zmm31, (%rsp)
133 movq %rsi, 1064(%rsp)
134 movq %rdi, 1056(%rsp)
135 movq %r12, 1096(%rsp)
136 cfi_offset_rel_rsp (12, 1096)
137 movb %dl, %r12b
138 movq %r13, 1088(%rsp)
139 cfi_offset_rel_rsp (13, 1088)
140 movl %ecx, %r13d
141 movq %r14, 1080(%rsp)
142 cfi_offset_rel_rsp (14, 1080)
143 movl %eax, %r14d
144 movq %r15, 1072(%rsp)
145 cfi_offset_rel_rsp (15, 1072)
146 cfi_remember_state
147
148.LBL_1_6:
149 btl %r14d, %r13d
150 jc .LBL_1_12
151
152.LBL_1_7:
153 lea 1(%r14), %esi
154 btl %esi, %r13d
155 jc .LBL_1_10
156
157.LBL_1_8:
158 addb $1, %r12b
159 addl $2, %r14d
160 cmpb $16, %r12b
161 jb .LBL_1_6
162
163 kmovw 1048(%rsp), %k4
164 movq 1064(%rsp), %rsi
165 kmovw 1040(%rsp), %k5
166 movq 1056(%rsp), %rdi
167 kmovw 1032(%rsp), %k6
168 movq 1096(%rsp), %r12
169 cfi_restore (%r12)
170 movq 1088(%rsp), %r13
171 cfi_restore (%r13)
172 kmovw 1024(%rsp), %k7
173 vmovups 960(%rsp), %zmm16
174 vmovups 896(%rsp), %zmm17
175 vmovups 832(%rsp), %zmm18
176 vmovups 768(%rsp), %zmm19
177 vmovups 704(%rsp), %zmm20
178 vmovups 640(%rsp), %zmm21
179 vmovups 576(%rsp), %zmm22
180 vmovups 512(%rsp), %zmm23
181 vmovups 448(%rsp), %zmm24
182 vmovups 384(%rsp), %zmm25
183 vmovups 320(%rsp), %zmm26
184 vmovups 256(%rsp), %zmm27
185 vmovups 192(%rsp), %zmm28
186 vmovups 128(%rsp), %zmm29
187 vmovups 64(%rsp), %zmm30
188 vmovups (%rsp), %zmm31
189 movq 1080(%rsp), %r14
190 cfi_restore (%r14)
191 movq 1072(%rsp), %r15
192 cfi_restore (%r15)
193 vmovups 1216(%rsp), %zmm1
194 jmp .LBL_1_2
195
196.LBL_1_10:
197 cfi_restore_state
198 movzbl %r12b, %r15d
199 vmovss 1156(%rsp,%r15,8), %xmm0
200 call JUMPTARGET(__logf_finite)
201 vmovss %xmm0, 1220(%rsp,%r15,8)
202 jmp .LBL_1_8
203
204.LBL_1_12:
205 movzbl %r12b, %r15d
206 vmovss 1152(%rsp,%r15,8), %xmm0
207 call JUMPTARGET(__logf_finite)
208 vmovss %xmm0, 1216(%rsp,%r15,8)
209 jmp .LBL_1_7
210#endif
211END (_ZGVeN16v_logf_knl)
212
213ENTRY (_ZGVeN16v_logf_skx)
214#ifndef HAVE_AVX512DQ_ASM_SUPPORT
215WRAPPER_IMPL_AVX512 _ZGVdN8v_logf
216#else
217/*
218 ALGORITHM DESCRIPTION:
219
220 log(x) = exponent_x*log(2) + log(mantissa_x), if mantissa_x<4/3
221 log(x) = (exponent_x+1)*log(2) + log(0.5*mantissa_x), if mantissa_x>4/3
222
223 R = mantissa_x - 1, if mantissa_x<4/3
224 R = 0.5*mantissa_x - 1, if mantissa_x>4/3
225 |R|< 1/3
226
227 log(1+R) is approximated as a polynomial: degree 9 for 1-ulp,
228 degree 7 for 4-ulp, degree 3 for half-precision. */
229
230 pushq %rbp
231 cfi_adjust_cfa_offset (8)
232 cfi_rel_offset (%rbp, 0)
233 movq %rsp, %rbp
234 cfi_def_cfa_register (%rbp)
235 andq $-64, %rsp
236 subq $1280, %rsp
237 movq __svml_slog_data@GOTPCREL(%rip), %rax
238 vmovups .L_2il0floatpacket.7(%rip), %zmm6
239 vmovups _iBrkValue(%rax), %zmm4
240 vmovups _sPoly_7(%rax), %zmm8
241
242/*
243 check for working range,
244 set special argument mask (denormals/zero/Inf/NaN)
245 */
246 vpaddd _iHiDelta(%rax), %zmm0, %zmm1
247
248/* reduction: compute r,n */
249 vpsubd %zmm4, %zmm0, %zmm2
250 vpcmpd $5, _iLoRange(%rax), %zmm1, %k1
251
252/* exponent_x (mantissa_x<4/3) or exponent_x+1 (mantissa_x>4/3) */
253 vpsrad $23, %zmm2, %zmm5
254 vpandd _iOffExpoMask(%rax), %zmm2, %zmm3
255
256/* mantissa_x (mantissa_x<4/3), or 0.5*mantissa_x (mantissa_x>4/3) */
257 vpaddd %zmm4, %zmm3, %zmm7
258
259/* reduced argument R */
260 vsubps _sOne(%rax), %zmm7, %zmm9
261
262/* polynomial evaluation starts here */
263 vfmadd213ps _sPoly_6(%rax), %zmm9, %zmm8
264 vfmadd213ps _sPoly_5(%rax), %zmm9, %zmm8
265 vfmadd213ps _sPoly_4(%rax), %zmm9, %zmm8
266 vfmadd213ps _sPoly_3(%rax), %zmm9, %zmm8
267 vfmadd213ps _sPoly_2(%rax), %zmm9, %zmm8
268 vfmadd213ps _sPoly_1(%rax), %zmm9, %zmm8
269 vmulps %zmm9, %zmm8, %zmm10
270
271/* polynomial evaluation end */
272 vfmadd213ps %zmm9, %zmm9, %zmm10
273 vpandnd %zmm1, %zmm1, %zmm6{%k1}
274 vptestmd %zmm6, %zmm6, %k0
275 vcvtdq2ps {rn-sae}, %zmm5, %zmm1
276 kmovw %k0, %ecx
277
278/*
279 final reconstruction:
280 add exponent_value*log2 to polynomial result
281 */
282 vfmadd132ps _sLn2(%rax), %zmm10, %zmm1
283 testl %ecx, %ecx
284 jne .LBL_2_3
285
286.LBL_2_2:
287 cfi_remember_state
288 vmovaps %zmm1, %zmm0
289 movq %rbp, %rsp
290 cfi_def_cfa_register (%rsp)
291 popq %rbp
292 cfi_adjust_cfa_offset (-8)
293 cfi_restore (%rbp)
294 ret
295
296.LBL_2_3:
297 cfi_restore_state
298 vmovups %zmm0, 1152(%rsp)
299 vmovups %zmm1, 1216(%rsp)
300 je .LBL_2_2
301
302 xorb %dl, %dl
303 xorl %eax, %eax
304 kmovw %k4, 1048(%rsp)
305 kmovw %k5, 1040(%rsp)
306 kmovw %k6, 1032(%rsp)
307 kmovw %k7, 1024(%rsp)
308 vmovups %zmm16, 960(%rsp)
309 vmovups %zmm17, 896(%rsp)
310 vmovups %zmm18, 832(%rsp)
311 vmovups %zmm19, 768(%rsp)
312 vmovups %zmm20, 704(%rsp)
313 vmovups %zmm21, 640(%rsp)
314 vmovups %zmm22, 576(%rsp)
315 vmovups %zmm23, 512(%rsp)
316 vmovups %zmm24, 448(%rsp)
317 vmovups %zmm25, 384(%rsp)
318 vmovups %zmm26, 320(%rsp)
319 vmovups %zmm27, 256(%rsp)
320 vmovups %zmm28, 192(%rsp)
321 vmovups %zmm29, 128(%rsp)
322 vmovups %zmm30, 64(%rsp)
323 vmovups %zmm31, (%rsp)
324 movq %rsi, 1064(%rsp)
325 movq %rdi, 1056(%rsp)
326 movq %r12, 1096(%rsp)
327 cfi_offset_rel_rsp (12, 1096)
328 movb %dl, %r12b
329 movq %r13, 1088(%rsp)
330 cfi_offset_rel_rsp (13, 1088)
331 movl %ecx, %r13d
332 movq %r14, 1080(%rsp)
333 cfi_offset_rel_rsp (14, 1080)
334 movl %eax, %r14d
335 movq %r15, 1072(%rsp)
336 cfi_offset_rel_rsp (15, 1072)
337 cfi_remember_state
338
339.LBL_2_6:
340 btl %r14d, %r13d
341 jc .LBL_2_12
342
343.LBL_2_7:
344 lea 1(%r14), %esi
345 btl %esi, %r13d
346 jc .LBL_2_10
347
348.LBL_2_8:
349 incb %r12b
350 addl $2, %r14d
351 cmpb $16, %r12b
352 jb .LBL_2_6
353
354 kmovw 1048(%rsp), %k4
355 kmovw 1040(%rsp), %k5
356 kmovw 1032(%rsp), %k6
357 kmovw 1024(%rsp), %k7
358 vmovups 960(%rsp), %zmm16
359 vmovups 896(%rsp), %zmm17
360 vmovups 832(%rsp), %zmm18
361 vmovups 768(%rsp), %zmm19
362 vmovups 704(%rsp), %zmm20
363 vmovups 640(%rsp), %zmm21
364 vmovups 576(%rsp), %zmm22
365 vmovups 512(%rsp), %zmm23
366 vmovups 448(%rsp), %zmm24
367 vmovups 384(%rsp), %zmm25
368 vmovups 320(%rsp), %zmm26
369 vmovups 256(%rsp), %zmm27
370 vmovups 192(%rsp), %zmm28
371 vmovups 128(%rsp), %zmm29
372 vmovups 64(%rsp), %zmm30
373 vmovups (%rsp), %zmm31
374 vmovups 1216(%rsp), %zmm1
375 movq 1064(%rsp), %rsi
376 movq 1056(%rsp), %rdi
377 movq 1096(%rsp), %r12
378 cfi_restore (%r12)
379 movq 1088(%rsp), %r13
380 cfi_restore (%r13)
381 movq 1080(%rsp), %r14
382 cfi_restore (%r14)
383 movq 1072(%rsp), %r15
384 cfi_restore (%r15)
385 jmp .LBL_2_2
386
387.LBL_2_10:
388 cfi_restore_state
389 movzbl %r12b, %r15d
390 vmovss 1156(%rsp,%r15,8), %xmm0
391 vzeroupper
392 vmovss 1156(%rsp,%r15,8), %xmm0
393
394 call JUMPTARGET(__logf_finite)
395
396 vmovss %xmm0, 1220(%rsp,%r15,8)
397 jmp .LBL_2_8
398
399.LBL_2_12:
400 movzbl %r12b, %r15d
401 vmovss 1152(%rsp,%r15,8), %xmm0
402 vzeroupper
403 vmovss 1152(%rsp,%r15,8), %xmm0
404
405 call JUMPTARGET(__logf_finite)
406
407 vmovss %xmm0, 1216(%rsp,%r15,8)
408 jmp .LBL_2_7
409
410#endif
411END (_ZGVeN16v_logf_skx)
412
413 .section .rodata, "a"
414.L_2il0floatpacket.7:
415 .long 0xffffffff,0xffffffff,0xffffffff,0xffffffff,0xffffffff,0xffffffff,0xffffffff,0xffffffff,0xffffffff,0xffffffff,0xffffffff,0xffffffff,0xffffffff,0xffffffff,0xffffffff,0xffffffff
416 .type .L_2il0floatpacket.7,@object
417