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
|
dnl AMD64 mpn_popcount, mpn_hamdist -- population count and hamming distance.
dnl Copyright 2004, 2005, 2007, 2010 Free Software Foundation, Inc.
dnl This file is part of the GNU MP Library.
dnl The GNU MP Library is free software; you can redistribute it and/or modify
dnl it under the terms of the GNU Lesser General Public License as published
dnl by the Free Software Foundation; either version 3 of the License, or (at
dnl your option) any later version.
dnl The GNU MP Library is distributed in the hope that it will be useful, but
dnl WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
dnl or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public
dnl License for more details.
dnl You should have received a copy of the GNU Lesser General Public License
dnl along with the GNU MP Library. If not, see http://www.gnu.org/licenses/.
include(`../config.m4')
C popcount hamdist
C cycles/limb cycles/limb
C AMD K8,K9 6 7
C AMD K10 6 7
C Intel P4 12 14.3
C Intel core2 7 8
C Intel corei ? 7.3
C Intel atom 16.5 17.5
C VIA nano 8.75 10.4
C TODO
C * Tune. It should be possible to reach 5 c/l for popcount and 6 c/l for
C hamdist for K8/K9.
ifdef(`OPERATION_popcount',`
define(`func',`mpn_popcount')
define(`up', `%rdi')
define(`n', `%rsi')
define(`h55555555', `%r10')
define(`h33333333', `%r11')
define(`h0f0f0f0f', `%rcx')
define(`h01010101', `%rdx')
define(`HAM', `dnl')
')
ifdef(`OPERATION_hamdist',`
define(`func',`mpn_hamdist')
define(`up', `%rdi')
define(`vp', `%rsi')
define(`n', `%rdx')
define(`h55555555', `%r10')
define(`h33333333', `%r11')
define(`h0f0f0f0f', `%rcx')
define(`h01010101', `%r14')
define(`HAM', `$1')
')
MULFUNC_PROLOGUE(mpn_popcount mpn_hamdist)
ASM_START()
TEXT
ALIGN(32)
PROLOGUE(func)
push %r12
push %r13
HAM(` push %r14 ')
mov $0x5555555555555555, h55555555
mov $0x3333333333333333, h33333333
mov $0x0f0f0f0f0f0f0f0f, h0f0f0f0f
mov $0x0101010101010101, h01010101
lea (up,n,8), up
HAM(` lea (vp,n,8), vp ')
neg n
xor R32(%rax), R32(%rax)
bt $0, R32(n)
jnc L(top)
mov (up,n,8), %r8
HAM(` xor (vp,n,8), %r8 ')
mov %r8, %r9
shr %r8
and h55555555, %r8
sub %r8, %r9
mov %r9, %r8
shr $2, %r9
and h33333333, %r8
and h33333333, %r9
add %r8, %r9 C 16 4-bit fields (0..4)
mov %r9, %r8
shr $4, %r9
and h0f0f0f0f, %r8
and h0f0f0f0f, %r9
add %r8, %r9 C 8 8-bit fields (0..16)
imul h01010101, %r9 C sum the 8 fields in high 8 bits
shr $56, %r9
mov %r9, %rax C add to total
add $1, n
jz L(end)
ALIGN(16)
L(top): mov (up,n,8), %r8
mov 8(up,n,8), %r12
HAM(` xor (vp,n,8), %r8 ')
HAM(` xor 8(vp,n,8), %r12 ')
mov %r8, %r9
mov %r12, %r13
shr %r8
shr %r12
and h55555555, %r8
and h55555555, %r12
sub %r8, %r9
sub %r12, %r13
mov %r9, %r8
mov %r13, %r12
shr $2, %r9
shr $2, %r13
and h33333333, %r8
and h33333333, %r9
and h33333333, %r12
and h33333333, %r13
add %r8, %r9 C 16 4-bit fields (0..4)
add %r12, %r13 C 16 4-bit fields (0..4)
add %r13, %r9 C 16 4-bit fields (0..8)
mov %r9, %r8
shr $4, %r9
and h0f0f0f0f, %r8
and h0f0f0f0f, %r9
add %r8, %r9 C 8 8-bit fields (0..16)
imul h01010101, %r9 C sum the 8 fields in high 8 bits
shr $56, %r9
add %r9, %rax C add to total
add $2, n
jnc L(top)
L(end):
HAM(` pop %r14 ')
pop %r13
pop %r12
ret
EPILOGUE()
|
