278 lines
6.5 KiB
Perl
278 lines
6.5 KiB
Perl
|
#!/usr/bin/env perl
|
||
|
|
|
||
|
|
# ====================================================================
|
||
|
|
# Written by Andy Polyakov <appro@fy.chalmers.se> for the OpenSSL
|
||
|
|
# project. The module is, however, dual licensed under OpenSSL and
|
||
|
|
# CRYPTOGAMS licenses depending on where you obtain it. For further
|
||
|
|
# details see http://www.openssl.org/~appro/cryptogams/.
|
||
|
|
# ====================================================================
|
||
|
|
|
||
|
|
# April 2007.
|
||
|
|
#
|
||
|
|
# Performance improvement over vanilla C code varies from 85% to 45%
|
||
|
|
# depending on key length and benchmark. Unfortunately in this context
|
||
|
|
# these are not very impressive results [for code that utilizes "wide"
|
||
|
|
# 64x64=128-bit multiplication, which is not commonly available to C
|
||
|
|
# programmers], at least hand-coded bn_asm.c replacement is known to
|
||
|
|
# provide 30-40% better results for longest keys. Well, on a second
|
||
|
|
# thought it's not very surprising, because z-CPUs are single-issue
|
||
|
|
# and _strictly_ in-order execution, while bn_mul_mont is more or less
|
||
|
|
# dependent on CPU ability to pipe-line instructions and have several
|
||
|
|
# of them "in-flight" at the same time. I mean while other methods,
|
||
|
|
# for example Karatsuba, aim to minimize amount of multiplications at
|
||
|
|
# the cost of other operations increase, bn_mul_mont aim to neatly
|
||
|
|
# "overlap" multiplications and the other operations [and on most
|
||
|
|
# platforms even minimize the amount of the other operations, in
|
||
|
|
# particular references to memory]. But it's possible to improve this
|
||
|
|
# module performance by implementing dedicated squaring code-path and
|
||
|
|
# possibly by unrolling loops...
|
||
|
|
|
||
|
|
# January 2009.
|
||
|
|
#
|
||
|
|
# Reschedule to minimize/avoid Address Generation Interlock hazard,
|
||
|
|
# make inner loops counter-based.
|
||
|
|
|
||
|
|
# November 2010.
|
||
|
|
#
|
||
|
|
# Adapt for -m31 build. If kernel supports what's called "highgprs"
|
||
|
|
# feature on Linux [see /proc/cpuinfo], it's possible to use 64-bit
|
||
|
|
# instructions and achieve "64-bit" performance even in 31-bit legacy
|
||
|
|
# application context. The feature is not specific to any particular
|
||
|
|
# processor, as long as it's "z-CPU". Latter implies that the code
|
||
|
|
# remains z/Architecture specific. Compatibility with 32-bit BN_ULONG
|
||
|
|
# is achieved by swapping words after 64-bit loads, follow _dswap-s.
|
||
|
|
# On z990 it was measured to perform 2.6-2.2 times better than
|
||
|
|
# compiler-generated code, less for longer keys...
|
||
|
|
|
||
|
|
$flavour = shift;
|
||
|
|
|
||
|
|
if ($flavour =~ /3[12]/) {
|
||
|
|
$SIZE_T=4;
|
||
|
|
$g="";
|
||
|
|
} else {
|
||
|
|
$SIZE_T=8;
|
||
|
|
$g="g";
|
||
|
|
}
|
||
|
|
|
||
|
|
while (($output=shift) && ($output!~/^\w[\w\-]*\.\w+$/)) {}
|
||
|
|
open STDOUT,">$output";
|
||
|
|
|
||
|
|
$stdframe=16*$SIZE_T+4*8;
|
||
|
|
|
||
|
|
$mn0="%r0";
|
||
|
|
$num="%r1";
|
||
|
|
|
||
|
|
# int bn_mul_mont(
|
||
|
|
$rp="%r2"; # BN_ULONG *rp,
|
||
|
|
$ap="%r3"; # const BN_ULONG *ap,
|
||
|
|
$bp="%r4"; # const BN_ULONG *bp,
|
||
|
|
$np="%r5"; # const BN_ULONG *np,
|
||
|
|
$n0="%r6"; # const BN_ULONG *n0,
|
||
|
|
#$num="160(%r15)" # int num);
|
||
|
|
|
||
|
|
$bi="%r2"; # zaps rp
|
||
|
|
$j="%r7";
|
||
|
|
|
||
|
|
$ahi="%r8";
|
||
|
|
$alo="%r9";
|
||
|
|
$nhi="%r10";
|
||
|
|
$nlo="%r11";
|
||
|
|
$AHI="%r12";
|
||
|
|
$NHI="%r13";
|
||
|
|
$count="%r14";
|
||
|
|
$sp="%r15";
|
||
|
|
|
||
|
|
$code.=<<___;
|
||
|
|
.text
|
||
|
|
.globl bn_mul_mont
|
||
|
|
.type bn_mul_mont,\@function
|
||
|
|
bn_mul_mont:
|
||
|
|
lgf $num,`$stdframe+$SIZE_T-4`($sp) # pull $num
|
||
|
|
sla $num,`log($SIZE_T)/log(2)` # $num to enumerate bytes
|
||
|
|
la $bp,0($num,$bp)
|
||
|
|
|
||
|
|
st${g} %r2,2*$SIZE_T($sp)
|
||
|
|
|
||
|
|
cghi $num,16 #
|
||
|
|
lghi %r2,0 #
|
||
|
|
blr %r14 # if($num<16) return 0;
|
||
|
|
___
|
||
|
|
$code.=<<___ if ($flavour =~ /3[12]/);
|
||
|
|
tmll $num,4
|
||
|
|
bnzr %r14 # if ($num&1) return 0;
|
||
|
|
___
|
||
|
|
$code.=<<___ if ($flavour !~ /3[12]/);
|
||
|
|
cghi $num,96 #
|
||
|
|
bhr %r14 # if($num>96) return 0;
|
||
|
|
___
|
||
|
|
$code.=<<___;
|
||
|
|
stm${g} %r3,%r15,3*$SIZE_T($sp)
|
||
|
|
|
||
|
|
lghi $rp,-$stdframe-8 # leave room for carry bit
|
||
|
|
lcgr $j,$num # -$num
|
||
|
|
lgr %r0,$sp
|
||
|
|
la $rp,0($rp,$sp)
|
||
|
|
la $sp,0($j,$rp) # alloca
|
||
|
|
st${g} %r0,0($sp) # back chain
|
||
|
|
|
||
|
|
sra $num,3 # restore $num
|
||
|
|
la $bp,0($j,$bp) # restore $bp
|
||
|
|
ahi $num,-1 # adjust $num for inner loop
|
||
|
|
lg $n0,0($n0) # pull n0
|
||
|
|
_dswap $n0
|
||
|
|
|
||
|
|
lg $bi,0($bp)
|
||
|
|
_dswap $bi
|
||
|
|
lg $alo,0($ap)
|
||
|
|
_dswap $alo
|
||
|
|
mlgr $ahi,$bi # ap[0]*bp[0]
|
||
|
|
lgr $AHI,$ahi
|
||
|
|
|
||
|
|
lgr $mn0,$alo # "tp[0]"*n0
|
||
|
|
msgr $mn0,$n0
|
||
|
|
|
||
|
|
lg $nlo,0($np) #
|
||
|
|
_dswap $nlo
|
||
|
|
mlgr $nhi,$mn0 # np[0]*m1
|
||
|
|
algr $nlo,$alo # +="tp[0]"
|
||
|
|
lghi $NHI,0
|
||
|
|
alcgr $NHI,$nhi
|
||
|
|
|
||
|
|
la $j,8(%r0) # j=1
|
||
|
|
lr $count,$num
|
||
|
|
|
||
|
|
.align 16
|
||
|
|
.L1st:
|
||
|
|
lg $alo,0($j,$ap)
|
||
|
|
_dswap $alo
|
||
|
|
mlgr $ahi,$bi # ap[j]*bp[0]
|
||
|
|
algr $alo,$AHI
|
||
|
|
lghi $AHI,0
|
||
|
|
alcgr $AHI,$ahi
|
||
|
|
|
||
|
|
lg $nlo,0($j,$np)
|
||
|
|
_dswap $nlo
|
||
|
|
mlgr $nhi,$mn0 # np[j]*m1
|
||
|
|
algr $nlo,$NHI
|
||
|
|
lghi $NHI,0
|
||
|
|
alcgr $nhi,$NHI # +="tp[j]"
|
||
|
|
algr $nlo,$alo
|
||
|
|
alcgr $NHI,$nhi
|
||
|
|
|
||
|
|
stg $nlo,$stdframe-8($j,$sp) # tp[j-1]=
|
||
|
|
la $j,8($j) # j++
|
||
|
|
brct $count,.L1st
|
||
|
|
|
||
|
|
algr $NHI,$AHI
|
||
|
|
lghi $AHI,0
|
||
|
|
alcgr $AHI,$AHI # upmost overflow bit
|
||
|
|
stg $NHI,$stdframe-8($j,$sp)
|
||
|
|
stg $AHI,$stdframe($j,$sp)
|
||
|
|
la $bp,8($bp) # bp++
|
||
|
|
|
||
|
|
.Louter:
|
||
|
|
lg $bi,0($bp) # bp[i]
|
||
|
|
_dswap $bi
|
||
|
|
lg $alo,0($ap)
|
||
|
|
_dswap $alo
|
||
|
|
mlgr $ahi,$bi # ap[0]*bp[i]
|
||
|
|
alg $alo,$stdframe($sp) # +=tp[0]
|
||
|
|
lghi $AHI,0
|
||
|
|
alcgr $AHI,$ahi
|
||
|
|
|
||
|
|
lgr $mn0,$alo
|
||
|
|
msgr $mn0,$n0 # tp[0]*n0
|
||
|
|
|
||
|
|
lg $nlo,0($np) # np[0]
|
||
|
|
_dswap $nlo
|
||
|
|
mlgr $nhi,$mn0 # np[0]*m1
|
||
|
|
algr $nlo,$alo # +="tp[0]"
|
||
|
|
lghi $NHI,0
|
||
|
|
alcgr $NHI,$nhi
|
||
|
|
|
||
|
|
la $j,8(%r0) # j=1
|
||
|
|
lr $count,$num
|
||
|
|
|
||
|
|
.align 16
|
||
|
|
.Linner:
|
||
|
|
lg $alo,0($j,$ap)
|
||
|
|
_dswap $alo
|
||
|
|
mlgr $ahi,$bi # ap[j]*bp[i]
|
||
|
|
algr $alo,$AHI
|
||
|
|
lghi $AHI,0
|
||
|
|
alcgr $ahi,$AHI
|
||
|
|
alg $alo,$stdframe($j,$sp)# +=tp[j]
|
||
|
|
alcgr $AHI,$ahi
|
||
|
|
|
||
|
|
lg $nlo,0($j,$np)
|
||
|
|
_dswap $nlo
|
||
|
|
mlgr $nhi,$mn0 # np[j]*m1
|
||
|
|
algr $nlo,$NHI
|
||
|
|
lghi $NHI,0
|
||
|
|
alcgr $nhi,$NHI
|
||
|
|
algr $nlo,$alo # +="tp[j]"
|
||
|
|
alcgr $NHI,$nhi
|
||
|
|
|
||
|
|
stg $nlo,$stdframe-8($j,$sp) # tp[j-1]=
|
||
|
|
la $j,8($j) # j++
|
||
|
|
brct $count,.Linner
|
||
|
|
|
||
|
|
algr $NHI,$AHI
|
||
|
|
lghi $AHI,0
|
||
|
|
alcgr $AHI,$AHI
|
||
|
|
alg $NHI,$stdframe($j,$sp)# accumulate previous upmost overflow bit
|
||
|
|
lghi $ahi,0
|
||
|
|
alcgr $AHI,$ahi # new upmost overflow bit
|
||
|
|
stg $NHI,$stdframe-8($j,$sp)
|
||
|
|
stg $AHI,$stdframe($j,$sp)
|
||
|
|
|
||
|
|
la $bp,8($bp) # bp++
|
||
|
|
cl${g} $bp,`$stdframe+8+4*$SIZE_T`($j,$sp) # compare to &bp[num]
|
||
|
|
jne .Louter
|
||
|
|
|
||
|
|
l${g} $rp,`$stdframe+8+2*$SIZE_T`($j,$sp) # reincarnate rp
|
||
|
|
la $ap,$stdframe($sp)
|
||
|
|
ahi $num,1 # restore $num, incidentally clears "borrow"
|
||
|
|
|
||
|
|
la $j,0(%r0)
|
||
|
|
lr $count,$num
|
||
|
|
.Lsub: lg $alo,0($j,$ap)
|
||
|
|
lg $nlo,0($j,$np)
|
||
|
|
_dswap $nlo
|
||
|
|
slbgr $alo,$nlo
|
||
|
|
stg $alo,0($j,$rp)
|
||
|
|
la $j,8($j)
|
||
|
|
brct $count,.Lsub
|
||
|
|
lghi $ahi,0
|
||
|
|
slbgr $AHI,$ahi # handle upmost carry
|
||
|
|
|
||
|
|
ngr $ap,$AHI
|
||
|
|
lghi $np,-1
|
||
|
|
xgr $np,$AHI
|
||
|
|
ngr $np,$rp
|
||
|
|
ogr $ap,$np # ap=borrow?tp:rp
|
||
|
|
|
||
|
|
la $j,0(%r0)
|
||
|
|
lgr $count,$num
|
||
|
|
.Lcopy: lg $alo,0($j,$ap) # copy or in-place refresh
|
||
|
|
_dswap $alo
|
||
|
|
stg $j,$stdframe($j,$sp) # zap tp
|
||
|
|
stg $alo,0($j,$rp)
|
||
|
|
la $j,8($j)
|
||
|
|
brct $count,.Lcopy
|
||
|
|
|
||
|
|
la %r1,`$stdframe+8+6*$SIZE_T`($j,$sp)
|
||
|
|
lm${g} %r6,%r15,0(%r1)
|
||
|
|
lghi %r2,1 # signal "processed"
|
||
|
|
br %r14
|
||
|
|
.size bn_mul_mont,.-bn_mul_mont
|
||
|
|
.string "Montgomery Multiplication for s390x, CRYPTOGAMS by <appro\@openssl.org>"
|
||
|
|
___
|
||
|
|
|
||
|
|
foreach (split("\n",$code)) {
|
||
|
|
s/\`([^\`]*)\`/eval $1/ge;
|
||
|
|
s/_dswap\s+(%r[0-9]+)/sprintf("rllg\t%s,%s,32",$1,$1) if($SIZE_T==4)/e;
|
||
|
|
print $_,"\n";
|
||
|
|
}
|
||
|
|
close STDOUT;
|