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- #! /usr/bin/env perl
- # Copyright 2005-2020 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/.
- # ====================================================================
- # December 2005
- #
- # Pure SPARCv9/8+ and IALU-only bn_mul_mont implementation. The reasons
- # for undertaken effort are multiple. First of all, UltraSPARC is not
- # the whole SPARCv9 universe and other VIS-free implementations deserve
- # optimized code as much. Secondly, newly introduced UltraSPARC T1,
- # a.k.a. Niagara, has shared FPU and concurrent FPU-intensive paths,
- # such as sparcv9a-mont, will simply sink it. Yes, T1 is equipped with
- # several integrated RSA/DSA accelerator circuits accessible through
- # kernel driver [only(*)], but having decent user-land software
- # implementation is important too. Finally, reasons like desire to
- # experiment with dedicated squaring procedure. Yes, this module
- # implements one, because it was easiest to draft it in SPARCv9
- # instructions...
- # (*) Engine accessing the driver in question is on my TODO list.
- # For reference, accelerator is estimated to give 6 to 10 times
- # improvement on single-threaded RSA sign. It should be noted
- # that 6-10x improvement coefficient does not actually mean
- # something extraordinary in terms of absolute [single-threaded]
- # performance, as SPARCv9 instruction set is by all means least
- # suitable for high performance crypto among other 64 bit
- # platforms. 6-10x factor simply places T1 in same performance
- # domain as say AMD64 and IA-64. Improvement of RSA verify don't
- # appear impressive at all, but it's the sign operation which is
- # far more critical/interesting.
- # You might notice that inner loops are modulo-scheduled:-) This has
- # essentially negligible impact on UltraSPARC performance, it's
- # Fujitsu SPARC64 V users who should notice and hopefully appreciate
- # the advantage... Currently this module surpasses sparcv9a-mont.pl
- # by ~20% on UltraSPARC-III and later cores, but recall that sparcv9a
- # module still have hidden potential [see TODO list there], which is
- # estimated to be larger than 20%...
- $output = pop;
- open STDOUT,">$output";
- # int bn_mul_mont(
- $rp="%i0"; # BN_ULONG *rp,
- $ap="%i1"; # const BN_ULONG *ap,
- $bp="%i2"; # const BN_ULONG *bp,
- $np="%i3"; # const BN_ULONG *np,
- $n0="%i4"; # const BN_ULONG *n0,
- $num="%i5"; # int num);
- $frame="STACK_FRAME";
- $bias="STACK_BIAS";
- $car0="%o0";
- $car1="%o1";
- $car2="%o2"; # 1 bit
- $acc0="%o3";
- $acc1="%o4";
- $mask="%g1"; # 32 bits, what a waste...
- $tmp0="%g4";
- $tmp1="%g5";
- $i="%l0";
- $j="%l1";
- $mul0="%l2";
- $mul1="%l3";
- $tp="%l4";
- $apj="%l5";
- $npj="%l6";
- $tpj="%l7";
- $fname="bn_mul_mont_int";
- $code=<<___;
- #include "sparc_arch.h"
- .section ".text",#alloc,#execinstr
- .global $fname
- .align 32
- $fname:
- cmp %o5,4 ! 128 bits minimum
- bge,pt %icc,.Lenter
- sethi %hi(0xffffffff),$mask
- retl
- clr %o0
- .align 32
- .Lenter:
- save %sp,-$frame,%sp
- sll $num,2,$num ! num*=4
- or $mask,%lo(0xffffffff),$mask
- ld [$n0],$n0
- cmp $ap,$bp
- and $num,$mask,$num
- ld [$bp],$mul0 ! bp[0]
- nop
- add %sp,$bias,%o7 ! real top of stack
- ld [$ap],$car0 ! ap[0] ! redundant in squaring context
- sub %o7,$num,%o7
- ld [$ap+4],$apj ! ap[1]
- and %o7,-1024,%o7
- ld [$np],$car1 ! np[0]
- sub %o7,$bias,%sp ! alloca
- ld [$np+4],$npj ! np[1]
- be,pt SIZE_T_CC,.Lbn_sqr_mont
- mov 12,$j
- mulx $car0,$mul0,$car0 ! ap[0]*bp[0]
- mulx $apj,$mul0,$tmp0 !prologue! ap[1]*bp[0]
- and $car0,$mask,$acc0
- add %sp,$bias+$frame,$tp
- ld [$ap+8],$apj !prologue!
- mulx $n0,$acc0,$mul1 ! "t[0]"*n0
- and $mul1,$mask,$mul1
- mulx $car1,$mul1,$car1 ! np[0]*"t[0]"*n0
- mulx $npj,$mul1,$acc1 !prologue! np[1]*"t[0]"*n0
- srlx $car0,32,$car0
- add $acc0,$car1,$car1
- ld [$np+8],$npj !prologue!
- srlx $car1,32,$car1
- mov $tmp0,$acc0 !prologue!
- .L1st:
- mulx $apj,$mul0,$tmp0
- mulx $npj,$mul1,$tmp1
- add $acc0,$car0,$car0
- ld [$ap+$j],$apj ! ap[j]
- and $car0,$mask,$acc0
- add $acc1,$car1,$car1
- ld [$np+$j],$npj ! np[j]
- srlx $car0,32,$car0
- add $acc0,$car1,$car1
- add $j,4,$j ! j++
- mov $tmp0,$acc0
- st $car1,[$tp]
- cmp $j,$num
- mov $tmp1,$acc1
- srlx $car1,32,$car1
- bl %icc,.L1st
- add $tp,4,$tp ! tp++
- !.L1st
- mulx $apj,$mul0,$tmp0 !epilogue!
- mulx $npj,$mul1,$tmp1
- add $acc0,$car0,$car0
- and $car0,$mask,$acc0
- add $acc1,$car1,$car1
- srlx $car0,32,$car0
- add $acc0,$car1,$car1
- st $car1,[$tp]
- srlx $car1,32,$car1
- add $tmp0,$car0,$car0
- and $car0,$mask,$acc0
- add $tmp1,$car1,$car1
- srlx $car0,32,$car0
- add $acc0,$car1,$car1
- st $car1,[$tp+4]
- srlx $car1,32,$car1
- add $car0,$car1,$car1
- st $car1,[$tp+8]
- srlx $car1,32,$car2
- mov 4,$i ! i++
- ld [$bp+4],$mul0 ! bp[1]
- .Louter:
- add %sp,$bias+$frame,$tp
- ld [$ap],$car0 ! ap[0]
- ld [$ap+4],$apj ! ap[1]
- ld [$np],$car1 ! np[0]
- ld [$np+4],$npj ! np[1]
- ld [$tp],$tmp1 ! tp[0]
- ld [$tp+4],$tpj ! tp[1]
- mov 12,$j
- mulx $car0,$mul0,$car0
- mulx $apj,$mul0,$tmp0 !prologue!
- add $tmp1,$car0,$car0
- ld [$ap+8],$apj !prologue!
- and $car0,$mask,$acc0
- mulx $n0,$acc0,$mul1
- and $mul1,$mask,$mul1
- mulx $car1,$mul1,$car1
- mulx $npj,$mul1,$acc1 !prologue!
- srlx $car0,32,$car0
- add $acc0,$car1,$car1
- ld [$np+8],$npj !prologue!
- srlx $car1,32,$car1
- mov $tmp0,$acc0 !prologue!
- .Linner:
- mulx $apj,$mul0,$tmp0
- mulx $npj,$mul1,$tmp1
- add $tpj,$car0,$car0
- ld [$ap+$j],$apj ! ap[j]
- add $acc0,$car0,$car0
- add $acc1,$car1,$car1
- ld [$np+$j],$npj ! np[j]
- and $car0,$mask,$acc0
- ld [$tp+8],$tpj ! tp[j]
- srlx $car0,32,$car0
- add $acc0,$car1,$car1
- add $j,4,$j ! j++
- mov $tmp0,$acc0
- st $car1,[$tp] ! tp[j-1]
- srlx $car1,32,$car1
- mov $tmp1,$acc1
- cmp $j,$num
- bl %icc,.Linner
- add $tp,4,$tp ! tp++
- !.Linner
- mulx $apj,$mul0,$tmp0 !epilogue!
- mulx $npj,$mul1,$tmp1
- add $tpj,$car0,$car0
- add $acc0,$car0,$car0
- ld [$tp+8],$tpj ! tp[j]
- and $car0,$mask,$acc0
- add $acc1,$car1,$car1
- srlx $car0,32,$car0
- add $acc0,$car1,$car1
- st $car1,[$tp] ! tp[j-1]
- srlx $car1,32,$car1
- add $tpj,$car0,$car0
- add $tmp0,$car0,$car0
- and $car0,$mask,$acc0
- add $tmp1,$car1,$car1
- add $acc0,$car1,$car1
- st $car1,[$tp+4] ! tp[j-1]
- srlx $car0,32,$car0
- add $i,4,$i ! i++
- srlx $car1,32,$car1
- add $car0,$car1,$car1
- cmp $i,$num
- add $car2,$car1,$car1
- st $car1,[$tp+8]
- srlx $car1,32,$car2
- bl,a %icc,.Louter
- ld [$bp+$i],$mul0 ! bp[i]
- !.Louter
- add $tp,12,$tp
- .Ltail:
- add $np,$num,$np
- add $rp,$num,$rp
- sub %g0,$num,%o7 ! k=-num
- ba .Lsub
- subcc %g0,%g0,%g0 ! clear %icc.c
- .align 16
- .Lsub:
- ld [$tp+%o7],%o0
- ld [$np+%o7],%o1
- subccc %o0,%o1,%o1 ! tp[j]-np[j]
- add $rp,%o7,$i
- add %o7,4,%o7
- brnz %o7,.Lsub
- st %o1,[$i]
- subccc $car2,0,$car2 ! handle upmost overflow bit
- sub %g0,$num,%o7
- .Lcopy:
- ld [$tp+%o7],%o1 ! conditional copy
- ld [$rp+%o7],%o0
- st %g0,[$tp+%o7] ! zap tp
- movcs %icc,%o1,%o0
- st %o0,[$rp+%o7]
- add %o7,4,%o7
- brnz %o7,.Lcopy
- nop
- mov 1,%i0
- ret
- restore
- ___
- ########
- ######## .Lbn_sqr_mont gives up to 20% *overall* improvement over
- ######## code without following dedicated squaring procedure.
- ########
- $sbit="%o5";
- $code.=<<___;
- .align 32
- .Lbn_sqr_mont:
- mulx $mul0,$mul0,$car0 ! ap[0]*ap[0]
- mulx $apj,$mul0,$tmp0 !prologue!
- and $car0,$mask,$acc0
- add %sp,$bias+$frame,$tp
- ld [$ap+8],$apj !prologue!
- mulx $n0,$acc0,$mul1 ! "t[0]"*n0
- srlx $car0,32,$car0
- and $mul1,$mask,$mul1
- mulx $car1,$mul1,$car1 ! np[0]*"t[0]"*n0
- mulx $npj,$mul1,$acc1 !prologue!
- and $car0,1,$sbit
- ld [$np+8],$npj !prologue!
- srlx $car0,1,$car0
- add $acc0,$car1,$car1
- srlx $car1,32,$car1
- mov $tmp0,$acc0 !prologue!
- .Lsqr_1st:
- mulx $apj,$mul0,$tmp0
- mulx $npj,$mul1,$tmp1
- add $acc0,$car0,$car0 ! ap[j]*a0+c0
- add $acc1,$car1,$car1
- ld [$ap+$j],$apj ! ap[j]
- and $car0,$mask,$acc0
- ld [$np+$j],$npj ! np[j]
- srlx $car0,32,$car0
- add $acc0,$acc0,$acc0
- or $sbit,$acc0,$acc0
- mov $tmp1,$acc1
- srlx $acc0,32,$sbit
- add $j,4,$j ! j++
- and $acc0,$mask,$acc0
- cmp $j,$num
- add $acc0,$car1,$car1
- st $car1,[$tp]
- mov $tmp0,$acc0
- srlx $car1,32,$car1
- bl %icc,.Lsqr_1st
- add $tp,4,$tp ! tp++
- !.Lsqr_1st
- mulx $apj,$mul0,$tmp0 ! epilogue
- mulx $npj,$mul1,$tmp1
- add $acc0,$car0,$car0 ! ap[j]*a0+c0
- add $acc1,$car1,$car1
- and $car0,$mask,$acc0
- srlx $car0,32,$car0
- add $acc0,$acc0,$acc0
- or $sbit,$acc0,$acc0
- srlx $acc0,32,$sbit
- and $acc0,$mask,$acc0
- add $acc0,$car1,$car1
- st $car1,[$tp]
- srlx $car1,32,$car1
- add $tmp0,$car0,$car0 ! ap[j]*a0+c0
- add $tmp1,$car1,$car1
- and $car0,$mask,$acc0
- srlx $car0,32,$car0
- add $acc0,$acc0,$acc0
- or $sbit,$acc0,$acc0
- srlx $acc0,32,$sbit
- and $acc0,$mask,$acc0
- add $acc0,$car1,$car1
- st $car1,[$tp+4]
- srlx $car1,32,$car1
- add $car0,$car0,$car0
- or $sbit,$car0,$car0
- add $car0,$car1,$car1
- st $car1,[$tp+8]
- srlx $car1,32,$car2
- ld [%sp+$bias+$frame],$tmp0 ! tp[0]
- ld [%sp+$bias+$frame+4],$tmp1 ! tp[1]
- ld [%sp+$bias+$frame+8],$tpj ! tp[2]
- ld [$ap+4],$mul0 ! ap[1]
- ld [$ap+8],$apj ! ap[2]
- ld [$np],$car1 ! np[0]
- ld [$np+4],$npj ! np[1]
- mulx $n0,$tmp0,$mul1
- mulx $mul0,$mul0,$car0
- and $mul1,$mask,$mul1
- mulx $car1,$mul1,$car1
- mulx $npj,$mul1,$acc1
- add $tmp0,$car1,$car1
- and $car0,$mask,$acc0
- ld [$np+8],$npj ! np[2]
- srlx $car1,32,$car1
- add $tmp1,$car1,$car1
- srlx $car0,32,$car0
- add $acc0,$car1,$car1
- and $car0,1,$sbit
- add $acc1,$car1,$car1
- srlx $car0,1,$car0
- mov 12,$j
- st $car1,[%sp+$bias+$frame] ! tp[0]=
- srlx $car1,32,$car1
- add %sp,$bias+$frame+4,$tp
- .Lsqr_2nd:
- mulx $apj,$mul0,$acc0
- mulx $npj,$mul1,$acc1
- add $acc0,$car0,$car0
- add $tpj,$sbit,$sbit
- ld [$ap+$j],$apj ! ap[j]
- and $car0,$mask,$acc0
- ld [$np+$j],$npj ! np[j]
- srlx $car0,32,$car0
- add $acc1,$car1,$car1
- ld [$tp+8],$tpj ! tp[j]
- add $acc0,$acc0,$acc0
- add $j,4,$j ! j++
- add $sbit,$acc0,$acc0
- srlx $acc0,32,$sbit
- and $acc0,$mask,$acc0
- cmp $j,$num
- add $acc0,$car1,$car1
- st $car1,[$tp] ! tp[j-1]
- srlx $car1,32,$car1
- bl %icc,.Lsqr_2nd
- add $tp,4,$tp ! tp++
- !.Lsqr_2nd
- mulx $apj,$mul0,$acc0
- mulx $npj,$mul1,$acc1
- add $acc0,$car0,$car0
- add $tpj,$sbit,$sbit
- and $car0,$mask,$acc0
- srlx $car0,32,$car0
- add $acc1,$car1,$car1
- add $acc0,$acc0,$acc0
- add $sbit,$acc0,$acc0
- srlx $acc0,32,$sbit
- and $acc0,$mask,$acc0
- add $acc0,$car1,$car1
- st $car1,[$tp] ! tp[j-1]
- srlx $car1,32,$car1
- add $car0,$car0,$car0
- add $sbit,$car0,$car0
- add $car0,$car1,$car1
- add $car2,$car1,$car1
- st $car1,[$tp+4]
- srlx $car1,32,$car2
- ld [%sp+$bias+$frame],$tmp1 ! tp[0]
- ld [%sp+$bias+$frame+4],$tpj ! tp[1]
- ld [$ap+8],$mul0 ! ap[2]
- ld [$np],$car1 ! np[0]
- ld [$np+4],$npj ! np[1]
- mulx $n0,$tmp1,$mul1
- and $mul1,$mask,$mul1
- mov 8,$i
- mulx $mul0,$mul0,$car0
- mulx $car1,$mul1,$car1
- and $car0,$mask,$acc0
- add $tmp1,$car1,$car1
- srlx $car0,32,$car0
- add %sp,$bias+$frame,$tp
- srlx $car1,32,$car1
- and $car0,1,$sbit
- srlx $car0,1,$car0
- mov 4,$j
- .Lsqr_outer:
- .Lsqr_inner1:
- mulx $npj,$mul1,$acc1
- add $tpj,$car1,$car1
- add $j,4,$j
- ld [$tp+8],$tpj
- cmp $j,$i
- add $acc1,$car1,$car1
- ld [$np+$j],$npj
- st $car1,[$tp]
- srlx $car1,32,$car1
- bl %icc,.Lsqr_inner1
- add $tp,4,$tp
- !.Lsqr_inner1
- add $j,4,$j
- ld [$ap+$j],$apj ! ap[j]
- mulx $npj,$mul1,$acc1
- add $tpj,$car1,$car1
- ld [$np+$j],$npj ! np[j]
- srlx $car1,32,$tmp0
- and $car1,$mask,$car1
- add $tmp0,$sbit,$sbit
- add $acc0,$car1,$car1
- ld [$tp+8],$tpj ! tp[j]
- add $acc1,$car1,$car1
- st $car1,[$tp]
- srlx $car1,32,$car1
- add $j,4,$j
- cmp $j,$num
- be,pn %icc,.Lsqr_no_inner2
- add $tp,4,$tp
- .Lsqr_inner2:
- mulx $apj,$mul0,$acc0
- mulx $npj,$mul1,$acc1
- add $tpj,$sbit,$sbit
- add $acc0,$car0,$car0
- ld [$ap+$j],$apj ! ap[j]
- and $car0,$mask,$acc0
- ld [$np+$j],$npj ! np[j]
- srlx $car0,32,$car0
- add $acc0,$acc0,$acc0
- ld [$tp+8],$tpj ! tp[j]
- add $sbit,$acc0,$acc0
- add $j,4,$j ! j++
- srlx $acc0,32,$sbit
- and $acc0,$mask,$acc0
- cmp $j,$num
- add $acc0,$car1,$car1
- add $acc1,$car1,$car1
- st $car1,[$tp] ! tp[j-1]
- srlx $car1,32,$car1
- bl %icc,.Lsqr_inner2
- add $tp,4,$tp ! tp++
- .Lsqr_no_inner2:
- mulx $apj,$mul0,$acc0
- mulx $npj,$mul1,$acc1
- add $tpj,$sbit,$sbit
- add $acc0,$car0,$car0
- and $car0,$mask,$acc0
- srlx $car0,32,$car0
- add $acc0,$acc0,$acc0
- add $sbit,$acc0,$acc0
- srlx $acc0,32,$sbit
- and $acc0,$mask,$acc0
- add $acc0,$car1,$car1
- add $acc1,$car1,$car1
- st $car1,[$tp] ! tp[j-1]
- srlx $car1,32,$car1
- add $car0,$car0,$car0
- add $sbit,$car0,$car0
- add $car0,$car1,$car1
- add $car2,$car1,$car1
- st $car1,[$tp+4]
- srlx $car1,32,$car2
- add $i,4,$i ! i++
- ld [%sp+$bias+$frame],$tmp1 ! tp[0]
- ld [%sp+$bias+$frame+4],$tpj ! tp[1]
- ld [$ap+$i],$mul0 ! ap[j]
- ld [$np],$car1 ! np[0]
- ld [$np+4],$npj ! np[1]
- mulx $n0,$tmp1,$mul1
- and $mul1,$mask,$mul1
- add $i,4,$tmp0
- mulx $mul0,$mul0,$car0
- mulx $car1,$mul1,$car1
- and $car0,$mask,$acc0
- add $tmp1,$car1,$car1
- srlx $car0,32,$car0
- add %sp,$bias+$frame,$tp
- srlx $car1,32,$car1
- and $car0,1,$sbit
- srlx $car0,1,$car0
- cmp $tmp0,$num ! i<num-1
- bl %icc,.Lsqr_outer
- mov 4,$j
- .Lsqr_last:
- mulx $npj,$mul1,$acc1
- add $tpj,$car1,$car1
- add $j,4,$j
- ld [$tp+8],$tpj
- cmp $j,$i
- add $acc1,$car1,$car1
- ld [$np+$j],$npj
- st $car1,[$tp]
- srlx $car1,32,$car1
- bl %icc,.Lsqr_last
- add $tp,4,$tp
- !.Lsqr_last
- mulx $npj,$mul1,$acc1
- add $tpj,$acc0,$acc0
- srlx $acc0,32,$tmp0
- and $acc0,$mask,$acc0
- add $tmp0,$sbit,$sbit
- add $acc0,$car1,$car1
- add $acc1,$car1,$car1
- st $car1,[$tp]
- srlx $car1,32,$car1
- add $car0,$car0,$car0 ! recover $car0
- add $sbit,$car0,$car0
- add $car0,$car1,$car1
- add $car2,$car1,$car1
- st $car1,[$tp+4]
- srlx $car1,32,$car2
- ba .Ltail
- add $tp,8,$tp
- .type $fname,#function
- .size $fname,(.-$fname)
- .asciz "Montgomery Multiplication for SPARCv9, CRYPTOGAMS by <appro\@openssl.org>"
- .align 32
- ___
- $code =~ s/\`([^\`]*)\`/eval($1)/gem;
- print $code;
- close STDOUT or die "error closing STDOUT: $!";
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