1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
|
/* Function log2f vectorized with AVX-512.
Copyright (C) 2021-2022 Free Software Foundation, Inc.
This file is part of the GNU C Library.
The GNU C Library is free software; you can redistribute it and/or
modify it under the terms of the GNU Lesser General Public
License as published by the Free Software Foundation; either
version 2.1 of the License, or (at your option) any later version.
The GNU C Library is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
Lesser General Public License for more details.
You should have received a copy of the GNU Lesser General Public
License along with the GNU C Library; if not, see
https://www.gnu.org/licenses/. */
/*
* ALGORITHM DESCRIPTION:
*
* Get short reciprocal approximation Rcp ~ 1/mantissa(x)
* R = Rcp*x - 1.0
* log2(x) = k - log2(Rcp) + poly_approximation(R)
* log2(Rcp) is tabulated
*
*
*/
/* Offsets for data table __svml_slog2_data_internal_avx512
*/
#define One 0
#define coeff4 64
#define coeff3 128
#define coeff2 192
#define coeff1 256
#include <sysdep.h>
.text
.section .text.exex512,"ax",@progbits
ENTRY(_ZGVeN16v_log2f_skx)
pushq %rbp
cfi_def_cfa_offset(16)
movq %rsp, %rbp
cfi_def_cfa(6, 16)
cfi_offset(6, -16)
andq $-64, %rsp
subq $192, %rsp
vgetmantps $11, {sae}, %zmm0, %zmm3
vmovups __svml_slog2_data_internal_avx512(%rip), %zmm1
vgetexpps {sae}, %zmm0, %zmm5
/* x<=0? */
vfpclassps $94, %zmm0, %k0
vsubps {rn-sae}, %zmm1, %zmm3, %zmm9
vpsrld $19, %zmm3, %zmm7
vgetexpps {sae}, %zmm3, %zmm6
vpermps coeff4+__svml_slog2_data_internal_avx512(%rip), %zmm7, %zmm1
vpermps coeff3+__svml_slog2_data_internal_avx512(%rip), %zmm7, %zmm2
vpermps coeff2+__svml_slog2_data_internal_avx512(%rip), %zmm7, %zmm4
vpermps coeff1+__svml_slog2_data_internal_avx512(%rip), %zmm7, %zmm8
vsubps {rn-sae}, %zmm6, %zmm5, %zmm10
vfmadd213ps {rn-sae}, %zmm2, %zmm9, %zmm1
kmovw %k0, %edx
vfmadd213ps {rn-sae}, %zmm4, %zmm9, %zmm1
vfmadd213ps {rn-sae}, %zmm8, %zmm9, %zmm1
vfmadd213ps {rn-sae}, %zmm10, %zmm9, %zmm1
testl %edx, %edx
/* Go to special inputs processing branch */
jne L(SPECIAL_VALUES_BRANCH)
# LOE rbx r12 r13 r14 r15 edx zmm0 zmm1
/* Restore registers
* and exit the function
*/
L(EXIT):
vmovaps %zmm1, %zmm0
movq %rbp, %rsp
popq %rbp
cfi_def_cfa(7, 8)
cfi_restore(6)
ret
cfi_def_cfa(6, 16)
cfi_offset(6, -16)
/* Branch to process
* special inputs
*/
L(SPECIAL_VALUES_BRANCH):
vmovups %zmm0, 64(%rsp)
vmovups %zmm1, 128(%rsp)
# LOE rbx r12 r13 r14 r15 edx zmm1
xorl %eax, %eax
# LOE rbx r12 r13 r14 r15 eax edx
vzeroupper
movq %r12, 16(%rsp)
/* DW_CFA_expression: r12 (r12) (DW_OP_lit8; DW_OP_minus; DW_OP_const4s: -64; DW_OP_and; DW_OP_const4s: -176; DW_OP_plus) */
.cfi_escape 0x10, 0x0c, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x50, 0xff, 0xff, 0xff, 0x22
movl %eax, %r12d
movq %r13, 8(%rsp)
/* DW_CFA_expression: r13 (r13) (DW_OP_lit8; DW_OP_minus; DW_OP_const4s: -64; DW_OP_and; DW_OP_const4s: -184; DW_OP_plus) */
.cfi_escape 0x10, 0x0d, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x48, 0xff, 0xff, 0xff, 0x22
movl %edx, %r13d
movq %r14, (%rsp)
/* DW_CFA_expression: r14 (r14) (DW_OP_lit8; DW_OP_minus; DW_OP_const4s: -64; DW_OP_and; DW_OP_const4s: -192; DW_OP_plus) */
.cfi_escape 0x10, 0x0e, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x40, 0xff, 0xff, 0xff, 0x22
# LOE rbx r15 r12d r13d
/* Range mask
* bits check
*/
L(RANGEMASK_CHECK):
btl %r12d, %r13d
/* Call scalar math function */
jc L(SCALAR_MATH_CALL)
# LOE rbx r15 r12d r13d
/* Special inputs
* processing loop
*/
L(SPECIAL_VALUES_LOOP):
incl %r12d
cmpl $16, %r12d
/* Check bits in range mask */
jl L(RANGEMASK_CHECK)
# LOE rbx r15 r12d r13d
movq 16(%rsp), %r12
cfi_restore(12)
movq 8(%rsp), %r13
cfi_restore(13)
movq (%rsp), %r14
cfi_restore(14)
vmovups 128(%rsp), %zmm1
/* Go to exit */
jmp L(EXIT)
/* DW_CFA_expression: r12 (r12) (DW_OP_lit8; DW_OP_minus; DW_OP_const4s: -64; DW_OP_and; DW_OP_const4s: -176; DW_OP_plus) */
.cfi_escape 0x10, 0x0c, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x50, 0xff, 0xff, 0xff, 0x22
/* DW_CFA_expression: r13 (r13) (DW_OP_lit8; DW_OP_minus; DW_OP_const4s: -64; DW_OP_and; DW_OP_const4s: -184; DW_OP_plus) */
.cfi_escape 0x10, 0x0d, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x48, 0xff, 0xff, 0xff, 0x22
/* DW_CFA_expression: r14 (r14) (DW_OP_lit8; DW_OP_minus; DW_OP_const4s: -64; DW_OP_and; DW_OP_const4s: -192; DW_OP_plus) */
.cfi_escape 0x10, 0x0e, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x40, 0xff, 0xff, 0xff, 0x22
# LOE rbx r12 r13 r14 r15 zmm1
/* Scalar math fucntion call
* to process special input
*/
L(SCALAR_MATH_CALL):
movl %r12d, %r14d
movss 64(%rsp,%r14,4), %xmm0
call log2f@PLT
# LOE rbx r14 r15 r12d r13d xmm0
movss %xmm0, 128(%rsp,%r14,4)
/* Process special inputs in loop */
jmp L(SPECIAL_VALUES_LOOP)
# LOE rbx r15 r12d r13d
END(_ZGVeN16v_log2f_skx)
.section .rodata, "a"
.align 64
#ifdef __svml_slog2_data_internal_avx512_typedef
typedef unsigned int VUINT32;
typedef struct {
__declspec(align(64)) VUINT32 One[16][1];
__declspec(align(64)) VUINT32 coeff4[16][1];
__declspec(align(64)) VUINT32 coeff3[16][1];
__declspec(align(64)) VUINT32 coeff2[16][1];
__declspec(align(64)) VUINT32 coeff1[16][1];
} __svml_slog2_data_internal_avx512;
#endif
__svml_slog2_data_internal_avx512:
/*== One ==*/
.long 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000
// c4
.align 64
.long 0xbea77e4a, 0xbe8aae3d
.long 0xbe67fe32, 0xbe43d1b6
.long 0xbe26a589, 0xbe0ee09b
.long 0xbdf6a8a1, 0xbdd63b49
.long 0xbf584e51, 0xbf3e80a1
.long 0xbf2892f0, 0xbf15d377
.long 0xbf05b525, 0xbeef8e30
.long 0xbed75c8f, 0xbec24184
// c3
.align 64
.long 0x3ef5910c, 0x3ef045a1
.long 0x3ee7d87e, 0x3eddbb84
.long 0x3ed2d6df, 0x3ec7bbd2
.long 0x3ebcc42f, 0x3eb22616
.long 0x3e8f3399, 0x3eb1223e
.long 0x3ec9db4a, 0x3edb7a09
.long 0x3ee79a1a, 0x3eef77cb
.long 0x3ef407a4, 0x3ef607b4
// c2
.align 64
.long 0xbf38a934, 0xbf387de6
.long 0xbf37f6f0, 0xbf37048b
.long 0xbf35a88a, 0xbf33ed04
.long 0xbf31df56, 0xbf2f8d82
.long 0xbf416814, 0xbf3daf58
.long 0xbf3b5c08, 0xbf39fa2a
.long 0xbf393713, 0xbf38d7e1
.long 0xbf38b2cd, 0xbf38aa62
// c1
.align 64
.long 0x3fb8aa3b, 0x3fb8a9c0
.long 0x3fb8a6e8, 0x3fb89f4e
.long 0x3fb890cb, 0x3fb879b1
.long 0x3fb858d8, 0x3fb82d90
.long 0x3fb8655e, 0x3fb8883a
.long 0x3fb89aea, 0x3fb8a42f
.long 0x3fb8a848, 0x3fb8a9c9
.long 0x3fb8aa2f, 0x3fb8aa3b
.align 64
.type __svml_slog2_data_internal_avx512,@object
.size __svml_slog2_data_internal_avx512,.-__svml_slog2_data_internal_avx512
|
