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1#!/usr/bin/env perl
2
3# ====================================================================
4# Written by Andy Polyakov <appro@fy.chalmers.se> for the OpenSSL
5# project. The module is, however, dual licensed under OpenSSL and
6# CRYPTOGAMS licenses depending on where you obtain it. For further
7# details see http://www.openssl.org/~appro/cryptogams/.
8# ====================================================================
9
10# April 2007.
11#
12# Performance improvement over vanilla C code varies from 85% to 45%
13# depending on key length and benchmark. Unfortunately in this context
14# these are not very impressive results [for code that utilizes "wide"
15# 64x64=128-bit multiplication, which is not commonly available to C
16# programmers], at least hand-coded bn_asm.c replacement is known to
17# provide 30-40% better results for longest keys. Well, on a second
18# thought it's not very surprising, because z-CPUs are single-issue
19# and _strictly_ in-order execution, while bn_mul_mont is more or less
20# dependent on CPU ability to pipe-line instructions and have several
21# of them "in-flight" at the same time. I mean while other methods,
22# for example Karatsuba, aim to minimize amount of multiplications at
23# the cost of other operations increase, bn_mul_mont aim to neatly
24# "overlap" multiplications and the other operations [and on most
25# platforms even minimize the amount of the other operations, in
26# particular references to memory]. But it's possible to improve this
27# module performance by implementing dedicated squaring code-path and
28# possibly by unrolling loops...
29
30# January 2009.
31#
32# Reschedule to minimize/avoid Address Generation Interlock hazard,
33# make inner loops counter-based.
34
35$mn0="%r0";
36$num="%r1";
37
38# int bn_mul_mont(
39$rp="%r2"; # BN_ULONG *rp,
40$ap="%r3"; # const BN_ULONG *ap,
41$bp="%r4"; # const BN_ULONG *bp,
42$np="%r5"; # const BN_ULONG *np,
43$n0="%r6"; # const BN_ULONG *n0,
44#$num="160(%r15)" # int num);
45
46$bi="%r2"; # zaps rp
47$j="%r7";
48
49$ahi="%r8";
50$alo="%r9";
51$nhi="%r10";
52$nlo="%r11";
53$AHI="%r12";
54$NHI="%r13";
55$count="%r14";
56$sp="%r15";
57
58$code.=<<___;
59.text
60.globl bn_mul_mont
61.type bn_mul_mont,\@function
62bn_mul_mont:
63 lgf $num,164($sp) # pull $num
64 sla $num,3 # $num to enumerate bytes
65 la $bp,0($num,$bp)
66
67 stg %r2,16($sp)
68
69 cghi $num,16 #
70 lghi %r2,0 #
71 blr %r14 # if($num<16) return 0;
72 cghi $num,128 #
73 bhr %r14 # if($num>128) return 0;
74
75 stmg %r3,%r15,24($sp)
76
77 lghi $rp,-160-8 # leave room for carry bit
78 lcgr $j,$num # -$num
79 lgr %r0,$sp
80 la $rp,0($rp,$sp)
81 la $sp,0($j,$rp) # alloca
82 stg %r0,0($sp) # back chain
83
84 sra $num,3 # restore $num
85 la $bp,0($j,$bp) # restore $bp
86 ahi $num,-1 # adjust $num for inner loop
87 lg $n0,0($n0) # pull n0
88
89 lg $bi,0($bp)
90 lg $alo,0($ap)
91 mlgr $ahi,$bi # ap[0]*bp[0]
92 lgr $AHI,$ahi
93
94 lgr $mn0,$alo # "tp[0]"*n0
95 msgr $mn0,$n0
96
97 lg $nlo,0($np) #
98 mlgr $nhi,$mn0 # np[0]*m1
99 algr $nlo,$alo # +="tp[0]"
100 lghi $NHI,0
101 alcgr $NHI,$nhi
102
103 la $j,8(%r0) # j=1
104 lr $count,$num
105
106.align 16
107.L1st:
108 lg $alo,0($j,$ap)
109 mlgr $ahi,$bi # ap[j]*bp[0]
110 algr $alo,$AHI
111 lghi $AHI,0
112 alcgr $AHI,$ahi
113
114 lg $nlo,0($j,$np)
115 mlgr $nhi,$mn0 # np[j]*m1
116 algr $nlo,$NHI
117 lghi $NHI,0
118 alcgr $nhi,$NHI # +="tp[j]"
119 algr $nlo,$alo
120 alcgr $NHI,$nhi
121
122 stg $nlo,160-8($j,$sp) # tp[j-1]=
123 la $j,8($j) # j++
124 brct $count,.L1st
125
126 algr $NHI,$AHI
127 lghi $AHI,0
128 alcgr $AHI,$AHI # upmost overflow bit
129 stg $NHI,160-8($j,$sp)
130 stg $AHI,160($j,$sp)
131 la $bp,8($bp) # bp++
132
133.Louter:
134 lg $bi,0($bp) # bp[i]
135 lg $alo,0($ap)
136 mlgr $ahi,$bi # ap[0]*bp[i]
137 alg $alo,160($sp) # +=tp[0]
138 lghi $AHI,0
139 alcgr $AHI,$ahi
140
141 lgr $mn0,$alo
142 msgr $mn0,$n0 # tp[0]*n0
143
144 lg $nlo,0($np) # np[0]
145 mlgr $nhi,$mn0 # np[0]*m1
146 algr $nlo,$alo # +="tp[0]"
147 lghi $NHI,0
148 alcgr $NHI,$nhi
149
150 la $j,8(%r0) # j=1
151 lr $count,$num
152
153.align 16
154.Linner:
155 lg $alo,0($j,$ap)
156 mlgr $ahi,$bi # ap[j]*bp[i]
157 algr $alo,$AHI
158 lghi $AHI,0
159 alcgr $ahi,$AHI
160 alg $alo,160($j,$sp)# +=tp[j]
161 alcgr $AHI,$ahi
162
163 lg $nlo,0($j,$np)
164 mlgr $nhi,$mn0 # np[j]*m1
165 algr $nlo,$NHI
166 lghi $NHI,0
167 alcgr $nhi,$NHI
168 algr $nlo,$alo # +="tp[j]"
169 alcgr $NHI,$nhi
170
171 stg $nlo,160-8($j,$sp) # tp[j-1]=
172 la $j,8($j) # j++
173 brct $count,.Linner
174
175 algr $NHI,$AHI
176 lghi $AHI,0
177 alcgr $AHI,$AHI
178 alg $NHI,160($j,$sp)# accumulate previous upmost overflow bit
179 lghi $ahi,0
180 alcgr $AHI,$ahi # new upmost overflow bit
181 stg $NHI,160-8($j,$sp)
182 stg $AHI,160($j,$sp)
183
184 la $bp,8($bp) # bp++
185 clg $bp,160+8+32($j,$sp) # compare to &bp[num]
186 jne .Louter
187
188 lg $rp,160+8+16($j,$sp) # reincarnate rp
189 la $ap,160($sp)
190 ahi $num,1 # restore $num, incidentally clears "borrow"
191
192 la $j,0(%r0)
193 lr $count,$num
194.Lsub: lg $alo,0($j,$ap)
195 slbg $alo,0($j,$np)
196 stg $alo,0($j,$rp)
197 la $j,8($j)
198 brct $count,.Lsub
199 lghi $ahi,0
200 slbgr $AHI,$ahi # handle upmost carry
201
202 ngr $ap,$AHI
203 lghi $np,-1
204 xgr $np,$AHI
205 ngr $np,$rp
206 ogr $ap,$np # ap=borrow?tp:rp
207
208 la $j,0(%r0)
209 lgr $count,$num
210.Lcopy: lg $alo,0($j,$ap) # copy or in-place refresh
211 stg $j,160($j,$sp) # zap tp
212 stg $alo,0($j,$rp)
213 la $j,8($j)
214 brct $count,.Lcopy
215
216 la %r1,160+8+48($j,$sp)
217 lmg %r6,%r15,0(%r1)
218 lghi %r2,1 # signal "processed"
219 br %r14
220.size bn_mul_mont,.-bn_mul_mont
221.string "Montgomery Multiplication for s390x, CRYPTOGAMS by <appro\@openssl.org>"
222___
223
224print $code;
225close STDOUT;