1#! /usr/bin/env perl 2# Copyright 2011-2020 The OpenSSL Project Authors. All Rights Reserved. 3# 4# Licensed under the Apache License 2.0 (the "License"). You may not use 5# this file except in compliance with the License. You can obtain a copy 6# in the file LICENSE in the source distribution or at 7# https://www.openssl.org/source/license.html 8 9# 10# ==================================================================== 11# Written by Andy Polyakov <appro@openssl.org> for the OpenSSL 12# project. The module is, however, dual licensed under OpenSSL and 13# CRYPTOGAMS licenses depending on where you obtain it. For further 14# details see http://www.openssl.org/~appro/cryptogams/. 15# ==================================================================== 16# 17# May 2011 18# 19# The module implements bn_GF2m_mul_2x2 polynomial multiplication used 20# in bn_gf2m.c. It's kind of low-hanging mechanical port from C for 21# the time being... gcc 4.3 appeared to generate poor code, therefore 22# the effort. And indeed, the module delivers 55%-90%(*) improvement 23# on heaviest ECDSA verify and ECDH benchmarks for 163- and 571-bit 24# key lengths on z990, 30%-55%(*) - on z10, and 70%-110%(*) - on z196. 25# This is for 64-bit build. In 32-bit "highgprs" case improvement is 26# even higher, for example on z990 it was measured 80%-150%. ECDSA 27# sign is modest 9%-12% faster. Keep in mind that these coefficients 28# are not ones for bn_GF2m_mul_2x2 itself, as not all CPU time is 29# burnt in it... 30# 31# (*) gcc 4.1 was observed to deliver better results than gcc 4.3, 32# so that improvement coefficients can vary from one specific 33# setup to another. 34 35# $output is the last argument if it looks like a file (it has an extension) 36# $flavour is the first argument if it doesn't look like a file 37$output = $#ARGV >= 0 && $ARGV[$#ARGV] =~ m|\.\w+$| ? pop : undef; 38$flavour = $#ARGV >= 0 && $ARGV[0] !~ m|\.| ? shift : undef; 39 40if ($flavour =~ /3[12]/) { 41 $SIZE_T=4; 42 $g=""; 43} else { 44 $SIZE_T=8; 45 $g="g"; 46} 47 48$output and open STDOUT,">$output"; 49 50$stdframe=16*$SIZE_T+4*8; 51 52$rp="%r2"; 53$a1="%r3"; 54$a0="%r4"; 55$b1="%r5"; 56$b0="%r6"; 57 58$ra="%r14"; 59$sp="%r15"; 60 61@T=("%r0","%r1"); 62@i=("%r12","%r13"); 63 64($a1,$a2,$a4,$a8,$a12,$a48)=map("%r$_",(6..11)); 65($lo,$hi,$b)=map("%r$_",(3..5)); $a=$lo; $mask=$a8; 66 67$code.=<<___; 68.text 69 70.type _mul_1x1,\@function 71.align 16 72_mul_1x1: 73 lgr $a1,$a 74 sllg $a2,$a,1 75 sllg $a4,$a,2 76 sllg $a8,$a,3 77 78 srag $lo,$a1,63 # broadcast 63rd bit 79 nihh $a1,0x1fff 80 srag @i[0],$a2,63 # broadcast 62nd bit 81 nihh $a2,0x3fff 82 srag @i[1],$a4,63 # broadcast 61st bit 83 nihh $a4,0x7fff 84 ngr $lo,$b 85 ngr @i[0],$b 86 ngr @i[1],$b 87 88 lghi @T[0],0 89 lgr $a12,$a1 90 stg @T[0],`$stdframe+0*8`($sp) # tab[0]=0 91 xgr $a12,$a2 92 stg $a1,`$stdframe+1*8`($sp) # tab[1]=a1 93 lgr $a48,$a4 94 stg $a2,`$stdframe+2*8`($sp) # tab[2]=a2 95 xgr $a48,$a8 96 stg $a12,`$stdframe+3*8`($sp) # tab[3]=a1^a2 97 xgr $a1,$a4 98 99 stg $a4,`$stdframe+4*8`($sp) # tab[4]=a4 100 xgr $a2,$a4 101 stg $a1,`$stdframe+5*8`($sp) # tab[5]=a1^a4 102 xgr $a12,$a4 103 stg $a2,`$stdframe+6*8`($sp) # tab[6]=a2^a4 104 xgr $a1,$a48 105 stg $a12,`$stdframe+7*8`($sp) # tab[7]=a1^a2^a4 106 xgr $a2,$a48 107 108 stg $a8,`$stdframe+8*8`($sp) # tab[8]=a8 109 xgr $a12,$a48 110 stg $a1,`$stdframe+9*8`($sp) # tab[9]=a1^a8 111 xgr $a1,$a4 112 stg $a2,`$stdframe+10*8`($sp) # tab[10]=a2^a8 113 xgr $a2,$a4 114 stg $a12,`$stdframe+11*8`($sp) # tab[11]=a1^a2^a8 115 116 xgr $a12,$a4 117 stg $a48,`$stdframe+12*8`($sp) # tab[12]=a4^a8 118 srlg $hi,$lo,1 119 stg $a1,`$stdframe+13*8`($sp) # tab[13]=a1^a4^a8 120 sllg $lo,$lo,63 121 stg $a2,`$stdframe+14*8`($sp) # tab[14]=a2^a4^a8 122 srlg @T[0],@i[0],2 123 stg $a12,`$stdframe+15*8`($sp) # tab[15]=a1^a2^a4^a8 124 125 lghi $mask,`0xf<<3` 126 sllg $a1,@i[0],62 127 sllg @i[0],$b,3 128 srlg @T[1],@i[1],3 129 ngr @i[0],$mask 130 sllg $a2,@i[1],61 131 srlg @i[1],$b,4-3 132 xgr $hi,@T[0] 133 ngr @i[1],$mask 134 xgr $lo,$a1 135 xgr $hi,@T[1] 136 xgr $lo,$a2 137 138 xg $lo,$stdframe(@i[0],$sp) 139 srlg @i[0],$b,8-3 140 ngr @i[0],$mask 141___ 142for($n=1;$n<14;$n++) { 143$code.=<<___; 144 lg @T[1],$stdframe(@i[1],$sp) 145 srlg @i[1],$b,`($n+2)*4`-3 146 sllg @T[0],@T[1],`$n*4` 147 ngr @i[1],$mask 148 srlg @T[1],@T[1],`64-$n*4` 149 xgr $lo,@T[0] 150 xgr $hi,@T[1] 151___ 152 push(@i,shift(@i)); push(@T,shift(@T)); 153} 154$code.=<<___; 155 lg @T[1],$stdframe(@i[1],$sp) 156 sllg @T[0],@T[1],`$n*4` 157 srlg @T[1],@T[1],`64-$n*4` 158 xgr $lo,@T[0] 159 xgr $hi,@T[1] 160 161 lg @T[0],$stdframe(@i[0],$sp) 162 sllg @T[1],@T[0],`($n+1)*4` 163 srlg @T[0],@T[0],`64-($n+1)*4` 164 xgr $lo,@T[1] 165 xgr $hi,@T[0] 166 167 br $ra 168.size _mul_1x1,.-_mul_1x1 169 170.globl bn_GF2m_mul_2x2 171.type bn_GF2m_mul_2x2,\@function 172.align 16 173bn_GF2m_mul_2x2: 174 stm${g} %r3,%r15,3*$SIZE_T($sp) 175 176 lghi %r1,-$stdframe-128 177 la %r0,0($sp) 178 la $sp,0(%r1,$sp) # alloca 179 st${g} %r0,0($sp) # back chain 180___ 181if ($SIZE_T==8) { 182my @r=map("%r$_",(6..9)); 183$code.=<<___; 184 bras $ra,_mul_1x1 # a1·b1 185 stmg $lo,$hi,16($rp) 186 187 lg $a,`$stdframe+128+4*$SIZE_T`($sp) 188 lg $b,`$stdframe+128+6*$SIZE_T`($sp) 189 bras $ra,_mul_1x1 # a0·b0 190 stmg $lo,$hi,0($rp) 191 192 lg $a,`$stdframe+128+3*$SIZE_T`($sp) 193 lg $b,`$stdframe+128+5*$SIZE_T`($sp) 194 xg $a,`$stdframe+128+4*$SIZE_T`($sp) 195 xg $b,`$stdframe+128+6*$SIZE_T`($sp) 196 bras $ra,_mul_1x1 # (a0+a1)·(b0+b1) 197 lmg @r[0],@r[3],0($rp) 198 199 xgr $lo,$hi 200 xgr $hi,@r[1] 201 xgr $lo,@r[0] 202 xgr $hi,@r[2] 203 xgr $lo,@r[3] 204 xgr $hi,@r[3] 205 xgr $lo,$hi 206 stg $hi,16($rp) 207 stg $lo,8($rp) 208___ 209} else { 210$code.=<<___; 211 sllg %r3,%r3,32 212 sllg %r5,%r5,32 213 or %r3,%r4 214 or %r5,%r6 215 bras $ra,_mul_1x1 216 rllg $lo,$lo,32 217 rllg $hi,$hi,32 218 stmg $lo,$hi,0($rp) 219___ 220} 221$code.=<<___; 222 lm${g} %r6,%r15,`$stdframe+128+6*$SIZE_T`($sp) 223 br $ra 224.size bn_GF2m_mul_2x2,.-bn_GF2m_mul_2x2 225.string "GF(2^m) Multiplication for s390x, CRYPTOGAMS by <appro\@openssl.org>" 226___ 227 228$code =~ s/\`([^\`]*)\`/eval($1)/gem; 229print $code; 230close STDOUT or die "error closing STDOUT: $!"; 231