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1 #!/usr/bin/env perl | |
2 # | |
3 # ==================================================================== | |
4 # Written by Andy Polyakov <appro@openssl.org> 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 # May 2011 | |
11 # | |
12 # The module implements bn_GF2m_mul_2x2 polynomial multiplication used | |
13 # in bn_gf2m.c. It's kind of low-hanging mechanical port from C for | |
14 # the time being... gcc 4.3 appeared to generate poor code, therefore | |
15 # the effort. And indeed, the module delivers 55%-90%(*) improvement | |
16 # on haviest ECDSA verify and ECDH benchmarks for 163- and 571-bit | |
17 # key lengths on z990, 30%-55%(*) - on z10, and 70%-110%(*) - on z196. | |
18 # This is for 64-bit build. In 32-bit "highgprs" case improvement is | |
19 # even higher, for example on z990 it was measured 80%-150%. ECDSA | |
20 # sign is modest 9%-12% faster. Keep in mind that these coefficients | |
21 # are not ones for bn_GF2m_mul_2x2 itself, as not all CPU time is | |
22 # burnt in it... | |
23 # | |
24 # (*) gcc 4.1 was observed to deliver better results than gcc 4.3, | |
25 # so that improvement coefficients can vary from one specific | |
26 # setup to another. | |
27 | |
28 $flavour = shift; | |
29 | |
30 if ($flavour =~ /3[12]/) { | |
31 $SIZE_T=4; | |
32 $g=""; | |
33 } else { | |
34 $SIZE_T=8; | |
35 $g="g"; | |
36 } | |
37 | |
38 while (($output=shift) && ($output!~/^\w[\w\-]*\.\w+$/)) {} | |
39 open STDOUT,">$output"; | |
40 | |
41 $stdframe=16*$SIZE_T+4*8; | |
42 | |
43 $rp="%r2"; | |
44 $a1="%r3"; | |
45 $a0="%r4"; | |
46 $b1="%r5"; | |
47 $b0="%r6"; | |
48 | |
49 $ra="%r14"; | |
50 $sp="%r15"; | |
51 | |
52 @T=("%r0","%r1"); | |
53 @i=("%r12","%r13"); | |
54 | |
55 ($a1,$a2,$a4,$a8,$a12,$a48)=map("%r$_",(6..11)); | |
56 ($lo,$hi,$b)=map("%r$_",(3..5)); $a=$lo; $mask=$a8; | |
57 | |
58 $code.=<<___; | |
59 .text | |
60 | |
61 .type _mul_1x1,\@function | |
62 .align 16 | |
63 _mul_1x1: | |
64 lgr $a1,$a | |
65 sllg $a2,$a,1 | |
66 sllg $a4,$a,2 | |
67 sllg $a8,$a,3 | |
68 | |
69 srag $lo,$a1,63 # broadcast 63rd bit | |
70 nihh $a1,0x1fff | |
71 srag @i[0],$a2,63 # broadcast 62nd bit | |
72 nihh $a2,0x3fff | |
73 srag @i[1],$a4,63 # broadcast 61st bit | |
74 nihh $a4,0x7fff | |
75 ngr $lo,$b | |
76 ngr @i[0],$b | |
77 ngr @i[1],$b | |
78 | |
79 lghi @T[0],0 | |
80 lgr $a12,$a1 | |
81 stg @T[0],`$stdframe+0*8`($sp) # tab[0]=0 | |
82 xgr $a12,$a2 | |
83 stg $a1,`$stdframe+1*8`($sp) # tab[1]=a1 | |
84 lgr $a48,$a4 | |
85 stg $a2,`$stdframe+2*8`($sp) # tab[2]=a2 | |
86 xgr $a48,$a8 | |
87 stg $a12,`$stdframe+3*8`($sp) # tab[3]=a1^a2 | |
88 xgr $a1,$a4 | |
89 | |
90 stg $a4,`$stdframe+4*8`($sp) # tab[4]=a4 | |
91 xgr $a2,$a4 | |
92 stg $a1,`$stdframe+5*8`($sp) # tab[5]=a1^a4 | |
93 xgr $a12,$a4 | |
94 stg $a2,`$stdframe+6*8`($sp) # tab[6]=a2^a4 | |
95 xgr $a1,$a48 | |
96 stg $a12,`$stdframe+7*8`($sp) # tab[7]=a1^a2^a4 | |
97 xgr $a2,$a48 | |
98 | |
99 stg $a8,`$stdframe+8*8`($sp) # tab[8]=a8 | |
100 xgr $a12,$a48 | |
101 stg $a1,`$stdframe+9*8`($sp) # tab[9]=a1^a8 | |
102 xgr $a1,$a4 | |
103 stg $a2,`$stdframe+10*8`($sp) # tab[10]=a2^a8 | |
104 xgr $a2,$a4 | |
105 stg $a12,`$stdframe+11*8`($sp) # tab[11]=a1^a2^a8 | |
106 | |
107 xgr $a12,$a4 | |
108 stg $a48,`$stdframe+12*8`($sp) # tab[12]=a4^a8 | |
109 srlg $hi,$lo,1 | |
110 stg $a1,`$stdframe+13*8`($sp) # tab[13]=a1^a4^a8 | |
111 sllg $lo,$lo,63 | |
112 stg $a2,`$stdframe+14*8`($sp) # tab[14]=a2^a4^a8 | |
113 srlg @T[0],@i[0],2 | |
114 stg $a12,`$stdframe+15*8`($sp) # tab[15]=a1^a2^a4^a8 | |
115 | |
116 lghi $mask,`0xf<<3` | |
117 sllg $a1,@i[0],62 | |
118 sllg @i[0],$b,3 | |
119 srlg @T[1],@i[1],3 | |
120 ngr @i[0],$mask | |
121 sllg $a2,@i[1],61 | |
122 srlg @i[1],$b,4-3 | |
123 xgr $hi,@T[0] | |
124 ngr @i[1],$mask | |
125 xgr $lo,$a1 | |
126 xgr $hi,@T[1] | |
127 xgr $lo,$a2 | |
128 | |
129 xg $lo,$stdframe(@i[0],$sp) | |
130 srlg @i[0],$b,8-3 | |
131 ngr @i[0],$mask | |
132 ___ | |
133 for($n=1;$n<14;$n++) { | |
134 $code.=<<___; | |
135 lg @T[1],$stdframe(@i[1],$sp) | |
136 srlg @i[1],$b,`($n+2)*4`-3 | |
137 sllg @T[0],@T[1],`$n*4` | |
138 ngr @i[1],$mask | |
139 srlg @T[1],@T[1],`64-$n*4` | |
140 xgr $lo,@T[0] | |
141 xgr $hi,@T[1] | |
142 ___ | |
143 push(@i,shift(@i)); push(@T,shift(@T)); | |
144 } | |
145 $code.=<<___; | |
146 lg @T[1],$stdframe(@i[1],$sp) | |
147 sllg @T[0],@T[1],`$n*4` | |
148 srlg @T[1],@T[1],`64-$n*4` | |
149 xgr $lo,@T[0] | |
150 xgr $hi,@T[1] | |
151 | |
152 lg @T[0],$stdframe(@i[0],$sp) | |
153 sllg @T[1],@T[0],`($n+1)*4` | |
154 srlg @T[0],@T[0],`64-($n+1)*4` | |
155 xgr $lo,@T[1] | |
156 xgr $hi,@T[0] | |
157 | |
158 br $ra | |
159 .size _mul_1x1,.-_mul_1x1 | |
160 | |
161 .globl bn_GF2m_mul_2x2 | |
162 .type bn_GF2m_mul_2x2,\@function | |
163 .align 16 | |
164 bn_GF2m_mul_2x2: | |
165 stm${g} %r3,%r15,3*$SIZE_T($sp) | |
166 | |
167 lghi %r1,-$stdframe-128 | |
168 la %r0,0($sp) | |
169 la $sp,0(%r1,$sp) # alloca | |
170 st${g} %r0,0($sp) # back chain | |
171 ___ | |
172 if ($SIZE_T==8) { | |
173 my @r=map("%r$_",(6..9)); | |
174 $code.=<<___; | |
175 bras $ra,_mul_1x1 # a1·b1 | |
176 stmg $lo,$hi,16($rp) | |
177 | |
178 lg $a,`$stdframe+128+4*$SIZE_T`($sp) | |
179 lg $b,`$stdframe+128+6*$SIZE_T`($sp) | |
180 bras $ra,_mul_1x1 # a0·b0 | |
181 stmg $lo,$hi,0($rp) | |
182 | |
183 lg $a,`$stdframe+128+3*$SIZE_T`($sp) | |
184 lg $b,`$stdframe+128+5*$SIZE_T`($sp) | |
185 xg $a,`$stdframe+128+4*$SIZE_T`($sp) | |
186 xg $b,`$stdframe+128+6*$SIZE_T`($sp) | |
187 bras $ra,_mul_1x1 # (a0+a1)·(b0+b1) | |
188 lmg @r[0],@r[3],0($rp) | |
189 | |
190 xgr $lo,$hi | |
191 xgr $hi,@r[1] | |
192 xgr $lo,@r[0] | |
193 xgr $hi,@r[2] | |
194 xgr $lo,@r[3] | |
195 xgr $hi,@r[3] | |
196 xgr $lo,$hi | |
197 stg $hi,16($rp) | |
198 stg $lo,8($rp) | |
199 ___ | |
200 } else { | |
201 $code.=<<___; | |
202 sllg %r3,%r3,32 | |
203 sllg %r5,%r5,32 | |
204 or %r3,%r4 | |
205 or %r5,%r6 | |
206 bras $ra,_mul_1x1 | |
207 rllg $lo,$lo,32 | |
208 rllg $hi,$hi,32 | |
209 stmg $lo,$hi,0($rp) | |
210 ___ | |
211 } | |
212 $code.=<<___; | |
213 lm${g} %r6,%r15,`$stdframe+128+6*$SIZE_T`($sp) | |
214 br $ra | |
215 .size bn_GF2m_mul_2x2,.-bn_GF2m_mul_2x2 | |
216 .string "GF(2^m) Multiplication for s390x, CRYPTOGAMS by <appro\@openssl.org>" | |
217 ___ | |
218 | |
219 $code =~ s/\`([^\`]*)\`/eval($1)/gem; | |
220 print $code; | |
221 close STDOUT; | |
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