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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$flavour = shift;
29
30if ($flavour =~ /3[12]/) {
31 $SIZE_T=4;
32 $g="";
33} else {
34 $SIZE_T=8;
35 $g="g";
36}
37
38while (($output=shift) && ($output!~/^\w[\w\-]*\.\w+$/)) {}
39open 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],$mask
132___
133for($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 $ra
159.size _mul_1x1,.-_mul_1x1
160
161.globl bn_GF2m_mul_2x2
162.type bn_GF2m_mul_2x2,\@function
163.align 16
164bn_GF2m_mul_2x2:
165 stm${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___
172if ($SIZE_T==8) {
173my @r=map("%r$_",(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;
220print $code;
221close STDOUT;
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