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
232
233
234
235
236
237
238
239
240
241
242
243
|
/* Function log10f vectorized with SSE4.
Copyright (C) 2021 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
* log10(x) = k*log10(2.0) - log10(Rcp) + poly_approximation(R)
* log10(Rcp) is tabulated
*
*
*/
/* Offsets for data table __svml_slog10_data_internal
*/
#define MinNorm 0
#define MaxNorm 16
#define L2H 32
#define L2L 48
#define iBrkValue 64
#define iOffExpoMask 80
#define One 96
#define sPoly 112
#define L2 256
#include <sysdep.h>
.text
.section .text.sse4,"ax",@progbits
ENTRY(_ZGVbN4v_log10f_sse4)
subq $72, %rsp
cfi_def_cfa_offset(80)
movaps %xmm0, %xmm1
/* reduction: compute r,n */
movdqu iBrkValue+__svml_slog10_data_internal(%rip), %xmm2
movaps %xmm0, %xmm4
movdqu iOffExpoMask+__svml_slog10_data_internal(%rip), %xmm10
psubd %xmm2, %xmm1
pand %xmm1, %xmm10
psrad $23, %xmm1
paddd %xmm2, %xmm10
movaps %xmm0, %xmm3
movups sPoly+__svml_slog10_data_internal(%rip), %xmm5
movups sPoly+32+__svml_slog10_data_internal(%rip), %xmm6
movups sPoly+64+__svml_slog10_data_internal(%rip), %xmm7
movups sPoly+96+__svml_slog10_data_internal(%rip), %xmm9
cvtdq2ps %xmm1, %xmm12
cmpltps MinNorm+__svml_slog10_data_internal(%rip), %xmm4
cmpnleps MaxNorm+__svml_slog10_data_internal(%rip), %xmm3
subps One+__svml_slog10_data_internal(%rip), %xmm10
mulps %xmm10, %xmm5
movaps %xmm10, %xmm8
mulps %xmm10, %xmm6
mulps %xmm10, %xmm8
addps sPoly+16+__svml_slog10_data_internal(%rip), %xmm5
mulps %xmm10, %xmm7
addps sPoly+48+__svml_slog10_data_internal(%rip), %xmm6
mulps %xmm10, %xmm9
mulps %xmm8, %xmm5
addps sPoly+80+__svml_slog10_data_internal(%rip), %xmm7
addps sPoly+112+__svml_slog10_data_internal(%rip), %xmm9
addps %xmm5, %xmm6
mulps %xmm8, %xmm6
orps %xmm3, %xmm4
/* combine and get argument value range mask */
movmskps %xmm4, %edx
movups L2L+__svml_slog10_data_internal(%rip), %xmm1
addps %xmm6, %xmm7
mulps %xmm12, %xmm1
mulps %xmm7, %xmm8
movups L2H+__svml_slog10_data_internal(%rip), %xmm11
addps %xmm8, %xmm9
mulps %xmm11, %xmm12
mulps %xmm10, %xmm9
addps sPoly+128+__svml_slog10_data_internal(%rip), %xmm9
mulps %xmm9, %xmm10
addps %xmm10, %xmm1
addps %xmm12, %xmm1
testl %edx, %edx
/* Go to special inputs processing branch */
jne L(SPECIAL_VALUES_BRANCH)
# LOE rbx rbp r12 r13 r14 r15 edx xmm0 xmm1
/* Restore registers
* and exit the function
*/
L(EXIT):
movaps %xmm1, %xmm0
addq $72, %rsp
cfi_def_cfa_offset(8)
ret
cfi_def_cfa_offset(80)
/* Branch to process
* special inputs
*/
L(SPECIAL_VALUES_BRANCH):
movups %xmm0, 32(%rsp)
movups %xmm1, 48(%rsp)
# LOE rbx rbp r12 r13 r14 r15 edx
xorl %eax, %eax
movq %r12, 16(%rsp)
cfi_offset(12, -64)
movl %eax, %r12d
movq %r13, 8(%rsp)
cfi_offset(13, -72)
movl %edx, %r13d
movq %r14, (%rsp)
cfi_offset(14, -80)
# LOE rbx rbp r15 r12d r13d
/* Range mask
* bits check
*/
L(RANGEMASK_CHECK):
btl %r12d, %r13d
/* Call scalar math function */
jc L(SCALAR_MATH_CALL)
# LOE rbx rbp r15 r12d r13d
/* Special inputs
* processing loop
*/
L(SPECIAL_VALUES_LOOP):
incl %r12d
cmpl $4, %r12d
/* Check bits in range mask */
jl L(RANGEMASK_CHECK)
# LOE rbx rbp r15 r12d r13d
movq 16(%rsp), %r12
cfi_restore(12)
movq 8(%rsp), %r13
cfi_restore(13)
movq (%rsp), %r14
cfi_restore(14)
movups 48(%rsp), %xmm1
/* Go to exit */
jmp L(EXIT)
cfi_offset(12, -64)
cfi_offset(13, -72)
cfi_offset(14, -80)
# LOE rbx rbp r12 r13 r14 r15 xmm1
/* Scalar math fucntion call
* to process special input
*/
L(SCALAR_MATH_CALL):
movl %r12d, %r14d
movss 32(%rsp,%r14,4), %xmm0
call log10f@PLT
# LOE rbx rbp r14 r15 r12d r13d xmm0
movss %xmm0, 48(%rsp,%r14,4)
/* Process special inputs in loop */
jmp L(SPECIAL_VALUES_LOOP)
# LOE rbx rbp r15 r12d r13d
END(_ZGVbN4v_log10f_sse4)
.section .rodata, "a"
.align 16
#ifdef __svml_slog10_data_internal_typedef
typedef unsigned int VUINT32;
typedef struct {
__declspec(align(16)) VUINT32 MinNorm[4][1];
__declspec(align(16)) VUINT32 MaxNorm[4][1];
__declspec(align(16)) VUINT32 L2H[4][1];
__declspec(align(16)) VUINT32 L2L[4][1];
__declspec(align(16)) VUINT32 iBrkValue[4][1];
__declspec(align(16)) VUINT32 iOffExpoMask[4][1];
__declspec(align(16)) VUINT32 One[4][1];
__declspec(align(16)) VUINT32 sPoly[9][4][1];
__declspec(align(16)) VUINT32 L2[4][1];
} __svml_slog10_data_internal;
#endif
__svml_slog10_data_internal:
/*== MinNorm ==*/
.long 0x00800000, 0x00800000, 0x00800000, 0x00800000
/*== MaxNorm ==*/
.align 16
.long 0x7f7fffff, 0x7f7fffff, 0x7f7fffff, 0x7f7fffff
/*== L2H ==*/
.align 16
.long 0x3e9a2100, 0x3e9a2100, 0x3e9a2100, 0x3e9a2100
/*== L2L ==*/
.align 16
.long 0xb64AF600, 0xb64AF600, 0xb64AF600, 0xb64AF600
/*== iBrkValue = SP 2/3 ==*/
.align 16
.long 0x3f2aaaab, 0x3f2aaaab, 0x3f2aaaab, 0x3f2aaaab
/*== iOffExpoMask = SP significand mask ==*/
.align 16
.long 0x007fffff, 0x007fffff, 0x007fffff, 0x007fffff
/*== sOne = SP 1.0 ==*/
.align 16
.long 0x3f800000, 0x3f800000, 0x3f800000, 0x3f800000
/*== spoly[9] ==*/
.align 16
.long 0x3d8063B4, 0x3d8063B4, 0x3d8063B4, 0x3d8063B4 /* coeff9 */
.long 0xbd890073, 0xbd890073, 0xbd890073, 0xbd890073 /* coeff8 */
.long 0x3d775317, 0x3d775317, 0x3d775317, 0x3d775317 /* coeff7 */
.long 0xbd91FB27, 0xbd91FB27, 0xbd91FB27, 0xbd91FB27 /* coeff6 */
.long 0x3dB20B96, 0x3dB20B96, 0x3dB20B96, 0x3dB20B96 /* coeff5 */
.long 0xbdDE6E20, 0xbdDE6E20, 0xbdDE6E20, 0xbdDE6E20 /* coeff4 */
.long 0x3e143CE5, 0x3e143CE5, 0x3e143CE5, 0x3e143CE5 /* coeff3 */
.long 0xbe5E5BC5, 0xbe5E5BC5, 0xbe5E5BC5, 0xbe5E5BC5 /* coeff2 */
.long 0x3eDE5BD9, 0x3eDE5BD9, 0x3eDE5BD9, 0x3eDE5BD9 /* coeff1 */
/*== L2 ==*/
.align 16
.long 0x3e9a209b, 0x3e9a209b, 0x3e9a209b, 0x3e9a209b
.align 16
.type __svml_slog10_data_internal,@object
.size __svml_slog10_data_internal,.-__svml_slog10_data_internal
|