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- #! /usr/bin/env perl
- # Copyright 2012-2016 The OpenSSL Project Authors. All Rights Reserved.
- #
- # Licensed under the OpenSSL license (the "License"). You may not use
- # this file except in compliance with the License. You can obtain a copy
- # in the file LICENSE in the source distribution or at
- # https://www.openssl.org/source/license.html
- # ====================================================================
- # 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 multiplication 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.
- $output = pop;
- open STDOUT,">$output";
- $frame = "STACK_FRAME";
- $bias = "STACK_BIAS";
- $code.=<<___;
- #include "sparc_arch.h"
- #ifdef __arch64__
- .register %g2,#scratch
- .register %g3,#scratch
- #endif
- .section ".text",#alloc,#execinstr
- ___
- ($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, $cnt
- mov 1, %o0
- ret
- restore
- .type bn_mul_mont_vis3, #function
- .size bn_mul_mont_vis3, .-bn_mul_mont_vis3
- .asciz "Montgomery Multiplication for SPARCv9 VIS3, CRYPTOGAMS by <appro\@openssl.org>"
- .align 4
- ___
- # Purpose of these subroutines is to explicitly encode VIS instructions,
- # so that one can compile the module without having to specify VIS
- # extensions on compiler command line, e.g. -xarch=v9 vs. -xarch=v9a.
- # Idea is to reserve for option to produce "universal" binary and let
- # programmer detect if current CPU is VIS capable at run-time.
- sub unvis3 {
- my ($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;
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