#!/usr/bin/env perl
# ====================================================================
# Written by Andy Polyakov <appro@openssl.org> 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/.
# ====================================================================
# October 2012.
#
# SPARCv9 VIS3 Montgomery multiplicaion procedure suitable for T3 and
# onward. There are three new instructions used here: umulxhi,
# addxc[cc] and initializing store. On T3 RSA private key operations
# are 1.54/1.87/2.11/2.26 times faster for 512/1024/2048/4096-bit key
# lengths. This is without dedicated squaring procedure. On T4
# corresponding coefficients are 1.47/2.10/2.80/2.90x, which is mostly
# for reference purposes, because T4 has dedicated Montgomery
# multiplication and squaring *instructions* that deliver even more.
$bits=32;
for (@ARGV) { $bits=64 if (/\-m64/ || /\-xarch\=v9/); }
if ($bits==64) { $bias=2047; $frame=192; }
else { $bias=0; $frame=112; }
$code.=<<___ if ($bits==64);
.register %g2,#scratch
.register %g3,#scratch
___
$code.=<<___;
#include <openssl/fipssyms.h>
.section ".text",#alloc,#execinstr
___
($n0,$m0,$m1,$lo0,$hi0, $lo1,$hi1,$aj,$alo,$nj,$nlo,$tj)=
(map("%g$_",(1..5)),map("%o$_",(0..5,7)));
# int bn_mul_mont(
$rp="%o0"; # BN_ULONG *rp,
$ap="%o1"; # const BN_ULONG *ap,
$bp="%o2"; # const BN_ULONG *bp,
$np="%o3"; # const BN_ULONG *np,
$n0p="%o4"; # const BN_ULONG *n0,
$num="%o5"; # int num); # caller ensures that num is even
# and >=6
$code.=<<___;
.globl bn_mul_mont_vis3
.align 32
bn_mul_mont_vis3:
add %sp, $bias, %g4 ! real top of stack
sll $num, 2, $num ! size in bytes
add $num, 63, %g5
andn %g5, 63, %g5 ! buffer size rounded up to 64 bytes
add %g5, %g5, %g1
add %g5, %g1, %g1 ! 3*buffer size
sub %g4, %g1, %g1
andn %g1, 63, %g1 ! align at 64 byte
sub %g1, $frame, %g1 ! new top of stack
sub %g1, %g4, %g1
save %sp, %g1, %sp
___
# +-------------------------------+<----- %sp
# . .
# +-------------------------------+<----- aligned at 64 bytes
# | __int64 tmp[0] |
# +-------------------------------+
# . .
# . .
# +-------------------------------+<----- aligned at 64 bytes
# | __int64 ap[1..0] | converted ap[]
# +-------------------------------+
# | __int64 np[1..0] | converted np[]
# +-------------------------------+
# | __int64 ap[3..2] |
# . .
# . .
# +-------------------------------+
($rp,$ap,$bp,$np,$n0p,$num)=map("%i$_",(0..5));
($t0,$t1,$t2,$t3,$cnt,$tp,$bufsz,$anp)=map("%l$_",(0..7));
($ovf,$i)=($t0,$t1);
$code.=<<___;
ld [$n0p+0], $t0 ! pull n0[0..1] value
add %sp, $bias+$frame, $tp
ld [$n0p+4], $t1
add $tp, %g5, $anp
ld [$bp+0], $t2 ! m0=bp[0]
sllx $t1, 32, $n0
ld [$bp+4], $t3
or $t0, $n0, $n0
add $bp, 8, $bp
ld [$ap+0], $t0 ! ap[0]
sllx $t3, 32, $m0
ld [$ap+4], $t1
or $t2, $m0, $m0
ld [$ap+8], $t2 ! ap[1]
sllx $t1, 32, $aj
ld [$ap+12], $t3
or $t0, $aj, $aj
add $ap, 16, $ap
stx $aj, [$anp] ! converted ap[0]
mulx $aj, $m0, $lo0 ! ap[0]*bp[0]
umulxhi $aj, $m0, $hi0
ld [$np+0], $t0 ! np[0]
sllx $t3, 32, $aj
ld [$np+4], $t1
or $t2, $aj, $aj
ld [$np+8], $t2 ! np[1]
sllx $t1, 32, $nj
ld [$np+12], $t3
or $t0, $nj, $nj
add $np, 16, $np
stx $nj, [$anp+8] ! converted np[0]
mulx $lo0, $n0, $m1 ! "tp[0]"*n0
stx $aj, [$anp+16] ! converted ap[1]
mulx $aj, $m0, $alo ! ap[1]*bp[0]
umulxhi $aj, $m0, $aj ! ahi=aj
mulx $nj, $m1, $lo1 ! np[0]*m1
umulxhi $nj, $m1, $hi1
sllx $t3, 32, $nj
or $t2, $nj, $nj
stx $nj, [$anp+24] ! converted np[1]
add $anp, 32, $anp
addcc $lo0, $lo1, $lo1
addxc %g0, $hi1, $hi1
mulx $nj, $m1, $nlo ! np[1]*m1
umulxhi $nj, $m1, $nj ! nhi=nj
ba .L1st
sub $num, 24, $cnt ! cnt=num-3
.align 16
.L1st:
ld [$ap+0], $t0 ! ap[j]
addcc $alo, $hi0, $lo0
ld [$ap+4], $t1
addxc $aj, %g0, $hi0
sllx $t1, 32, $aj
add $ap, 8, $ap
or $t0, $aj, $aj
stx $aj, [$anp] ! converted ap[j]
ld [$np+0], $t2 ! np[j]
addcc $nlo, $hi1, $lo1
ld [$np+4], $t3
addxc $nj, %g0, $hi1 ! nhi=nj
sllx $t3, 32, $nj
add $np, 8, $np
mulx $aj, $m0, $alo ! ap[j]*bp[0]
or $t2, $nj, $nj
umulxhi $aj, $m0, $aj ! ahi=aj
stx $nj, [$anp+8] ! converted np[j]
add $anp, 16, $anp ! anp++
mulx $nj, $m1, $nlo ! np[j]*m1
addcc $lo0, $lo1, $lo1 ! np[j]*m1+ap[j]*bp[0]
umulxhi $nj, $m1, $nj ! nhi=nj
addxc %g0, $hi1, $hi1
stx $lo1, [$tp] ! tp[j-1]
add $tp, 8, $tp ! tp++
brnz,pt $cnt, .L1st
sub $cnt, 8, $cnt ! j--
!.L1st
addcc $alo, $hi0, $lo0
addxc $aj, %g0, $hi0 ! ahi=aj
addcc $nlo, $hi1, $lo1
addxc $nj, %g0, $hi1
addcc $lo0, $lo1, $lo1 ! np[j]*m1+ap[j]*bp[0]
addxc %g0, $hi1, $hi1
stx $lo1, [$tp] ! tp[j-1]
add $tp, 8, $tp
addcc $hi0, $hi1, $hi1
addxc %g0, %g0, $ovf ! upmost overflow bit
stx $hi1, [$tp]
add $tp, 8, $tp
ba .Louter
sub $num, 16, $i ! i=num-2
.align 16
.Louter:
ld [$bp+0], $t2 ! m0=bp[i]
ld [$bp+4], $t3
sub $anp, $num, $anp ! rewind
sub $tp, $num, $tp
sub $anp, $num, $anp
add $bp, 8, $bp
sllx $t3, 32, $m0
ldx [$anp+0], $aj ! ap[0]
or $t2, $m0, $m0
ldx [$anp+8], $nj ! np[0]
mulx $aj, $m0, $lo0 ! ap[0]*bp[i]
ldx [$tp], $tj ! tp[0]
umulxhi $aj, $m0, $hi0
ldx [$anp+16], $aj ! ap[1]
addcc $lo0, $tj, $lo0 ! ap[0]*bp[i]+tp[0]
mulx $aj, $m0, $alo ! ap[1]*bp[i]
addxc %g0, $hi0, $hi0
mulx $lo0, $n0, $m1 ! tp[0]*n0
umulxhi $aj, $m0, $aj ! ahi=aj
mulx $nj, $m1, $lo1 ! np[0]*m1
umulxhi $nj, $m1, $hi1
ldx [$anp+24], $nj ! np[1]
add $anp, 32, $anp
addcc $lo1, $lo0, $lo1
mulx $nj, $m1, $nlo ! np[1]*m1
addxc %g0, $hi1, $hi1
umulxhi $nj, $m1, $nj ! nhi=nj
ba .Linner
sub $num, 24, $cnt ! cnt=num-3
.align 16
.Linner:
addcc $alo, $hi0, $lo0
ldx [$tp+8], $tj ! tp[j]
addxc $aj, %g0, $hi0 ! ahi=aj
ldx [$anp+0], $aj ! ap[j]
addcc $nlo, $hi1, $lo1
mulx $aj, $m0, $alo ! ap[j]*bp[i]
addxc $nj, %g0, $hi1 ! nhi=nj
ldx [$anp+8], $nj ! np[j]
add $anp, 16, $anp
umulxhi $aj, $m0, $aj ! ahi=aj
addcc $lo0, $tj, $lo0 ! ap[j]*bp[i]+tp[j]
mulx $nj, $m1, $nlo ! np[j]*m1
addxc %g0, $hi0, $hi0
umulxhi $nj, $m1, $nj ! nhi=nj
addcc $lo1, $lo0, $lo1 ! np[j]*m1+ap[j]*bp[i]+tp[j]
addxc %g0, $hi1, $hi1
stx $lo1, [$tp] ! tp[j-1]
add $tp, 8, $tp
brnz,pt $cnt, .Linner
sub $cnt, 8, $cnt
!.Linner
ldx [$tp+8], $tj ! tp[j]
addcc $alo, $hi0, $lo0
addxc $aj, %g0, $hi0 ! ahi=aj
addcc $lo0, $tj, $lo0 ! ap[j]*bp[i]+tp[j]
addxc %g0, $hi0, $hi0
addcc $nlo, $hi1, $lo1
addxc $nj, %g0, $hi1 ! nhi=nj
addcc $lo1, $lo0, $lo1 ! np[j]*m1+ap[j]*bp[i]+tp[j]
addxc %g0, $hi1, $hi1
stx $lo1, [$tp] ! tp[j-1]
subcc %g0, $ovf, %g0 ! move upmost overflow to CCR.xcc
addxccc $hi1, $hi0, $hi1
addxc %g0, %g0, $ovf
stx $hi1, [$tp+8]
add $tp, 16, $tp
brnz,pt $i, .Louter
sub $i, 8, $i
sub $anp, $num, $anp ! rewind
sub $tp, $num, $tp
sub $anp, $num, $anp
ba .Lsub
subcc $num, 8, $cnt ! cnt=num-1 and clear CCR.xcc
.align 16
.Lsub:
ldx [$tp], $tj
add $tp, 8, $tp
ldx [$anp+8], $nj
add $anp, 16, $anp
subccc $tj, $nj, $t2 ! tp[j]-np[j]
srlx $tj, 32, $tj
srlx $nj, 32, $nj
subccc $tj, $nj, $t3
add $rp, 8, $rp
st $t2, [$rp-4] ! reverse order
st $t3, [$rp-8]
brnz,pt $cnt, .Lsub
sub $cnt, 8, $cnt
sub $anp, $num, $anp ! rewind
sub $tp, $num, $tp
sub $anp, $num, $anp
sub $rp, $num, $rp
subc $ovf, %g0, $ovf ! handle upmost overflow bit
and $tp, $ovf, $ap
andn $rp, $ovf, $np
or $np, $ap, $ap ! ap=borrow?tp:rp
ba .Lcopy
sub $num, 8, $cnt
.align 16
.Lcopy: ! copy or in-place refresh
ld [$ap+0], $t2
ld [$ap+4], $t3
add $ap, 8, $ap
stx %g0, [$tp] ! zap
add $tp, 8, $tp
stx %g0, [$anp] ! zap
stx %g0, [$anp+8]
add $anp, 16, $anp
st $t3, [$rp+0] ! flip order
st $t2, [$rp+4]
add $rp, 8, $rp
brnz $cnt, .Lcopy
sub $cnt, 8, $cnt
mov 1, %o0
ret
restore
.type bn_mul_mont_vis3, #function
.size bn_mul_mont_vis3, .-bn_mul_mont_vis3
.asciz "Montgomery Multiplication for SPARCv9 VIS3, CRYPTOGAMS by <appro\@openssl.org>"
.align 4
___
# Purpose of these subroutines is to explicitly encode VIS instructions,
# so that one can compile the module without having to specify VIS
# extentions on compiler command line, e.g. -xarch=v9 vs. -xarch=v9a.
# Idea is to reserve for option to produce "universal" binary and let
# programmer detect if current CPU is VIS capable at run-time.
sub unvis3 {
my ($mnemonic,$rs1,$rs2,$rd)=@_;
my %bias = ( "g" => 0, "o" => 8, "l" => 16, "i" => 24 );
my ($ref,$opf);
my %visopf = ( "addxc" => 0x011,
"addxccc" => 0x013,
"umulxhi" => 0x016 );
$ref = "$mnemonic\t$rs1,$rs2,$rd";
if ($opf=$visopf{$mnemonic}) {
foreach ($rs1,$rs2,$rd) {
return $ref if (!/%([goli])([0-9])/);
$_=$bias{$1}+$2;
}
return sprintf ".word\t0x%08x !%s",
0x81b00000|$rd<<25|$rs1<<14|$opf<<5|$rs2,
$ref;
} else {
return $ref;
}
}
foreach (split("\n",$code)) {
s/\`([^\`]*)\`/eval $1/ge;
s/\b(umulxhi|addxc[c]{0,2})\s+(%[goli][0-7]),\s*(%[goli][0-7]),\s*(%[goli][0-7])/
&unvis3($1,$2,$3,$4)
/ge;
print $_,"\n";
}
close STDOUT;