| Index: openssl/crypto/bn/asm/s390x-mont.pl
|
| ===================================================================
|
| --- openssl/crypto/bn/asm/s390x-mont.pl (revision 0)
|
| +++ openssl/crypto/bn/asm/s390x-mont.pl (revision 0)
|
| @@ -0,0 +1,225 @@
|
| +#!/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.
|
| +
|
| +$mn0="%r0";
|
| +$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 $num,164($sp) # pull $num
|
| + sla $num,3 # $num to enumerate bytes
|
| + la $bp,0($num,$bp)
|
| +
|
| + stg %r2,16($sp)
|
| +
|
| + cghi $num,16 #
|
| + lghi %r2,0 #
|
| + blr %r14 # if($num<16) return 0;
|
| + cghi $num,96 #
|
| + bhr %r14 # if($num>96) return 0;
|
| +
|
| + stmg %r3,%r15,24($sp)
|
| +
|
| + lghi $rp,-160-8 # leave room for carry bit
|
| + lcgr $j,$num # -$num
|
| + lgr %r0,$sp
|
| + la $rp,0($rp,$sp)
|
| + la $sp,0($j,$rp) # alloca
|
| + stg %r0,0($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
|
| +
|
| + lg $bi,0($bp)
|
| + lg $alo,0($ap)
|
| + mlgr $ahi,$bi # ap[0]*bp[0]
|
| + lgr $AHI,$ahi
|
| +
|
| + lgr $mn0,$alo # "tp[0]"*n0
|
| + msgr $mn0,$n0
|
| +
|
| + lg $nlo,0($np) #
|
| + 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)
|
| + mlgr $ahi,$bi # ap[j]*bp[0]
|
| + algr $alo,$AHI
|
| + lghi $AHI,0
|
| + alcgr $AHI,$ahi
|
| +
|
| + lg $nlo,0($j,$np)
|
| + mlgr $nhi,$mn0 # np[j]*m1
|
| + algr $nlo,$NHI
|
| + lghi $NHI,0
|
| + alcgr $nhi,$NHI # +="tp[j]"
|
| + algr $nlo,$alo
|
| + alcgr $NHI,$nhi
|
| +
|
| + stg $nlo,160-8($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 $NHI,160-8($j,$sp)
|
| + stg $AHI,160($j,$sp)
|
| + la $bp,8($bp) # bp++
|
| +
|
| +.Louter:
|
| + lg $bi,0($bp) # bp[i]
|
| + lg $alo,0($ap)
|
| + mlgr $ahi,$bi # ap[0]*bp[i]
|
| + alg $alo,160($sp) # +=tp[0]
|
| + lghi $AHI,0
|
| + alcgr $AHI,$ahi
|
| +
|
| + lgr $mn0,$alo
|
| + msgr $mn0,$n0 # tp[0]*n0
|
| +
|
| + lg $nlo,0($np) # np[0]
|
| + 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)
|
| + mlgr $ahi,$bi # ap[j]*bp[i]
|
| + algr $alo,$AHI
|
| + lghi $AHI,0
|
| + alcgr $ahi,$AHI
|
| + alg $alo,160($j,$sp)# +=tp[j]
|
| + alcgr $AHI,$ahi
|
| +
|
| + lg $nlo,0($j,$np)
|
| + mlgr $nhi,$mn0 # np[j]*m1
|
| + algr $nlo,$NHI
|
| + lghi $NHI,0
|
| + alcgr $nhi,$NHI
|
| + algr $nlo,$alo # +="tp[j]"
|
| + alcgr $NHI,$nhi
|
| +
|
| + stg $nlo,160-8($j,$sp) # tp[j-1]=
|
| + la $j,8($j) # j++
|
| + brct $count,.Linner
|
| +
|
| + algr $NHI,$AHI
|
| + lghi $AHI,0
|
| + alcgr $AHI,$AHI
|
| + alg $NHI,160($j,$sp)# accumulate previous upmost overflow bit
|
| + lghi $ahi,0
|
| + alcgr $AHI,$ahi # new upmost overflow bit
|
| + stg $NHI,160-8($j,$sp)
|
| + stg $AHI,160($j,$sp)
|
| +
|
| + la $bp,8($bp) # bp++
|
| + clg $bp,160+8+32($j,$sp) # compare to &bp[num]
|
| + jne .Louter
|
| +
|
| + lg $rp,160+8+16($j,$sp) # reincarnate rp
|
| + la $ap,160($sp)
|
| + ahi $num,1 # restore $num, incidentally clears "borrow"
|
| +
|
| + la $j,0(%r0)
|
| + lr $count,$num
|
| +.Lsub: lg $alo,0($j,$ap)
|
| + slbg $alo,0($j,$np)
|
| + 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
|
| + stg $j,160($j,$sp) # zap tp
|
| + stg $alo,0($j,$rp)
|
| + la $j,8($j)
|
| + brct $count,.Lcopy
|
| +
|
| + la %r1,160+8+48($j,$sp)
|
| + lmg %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>"
|
| +___
|
| +
|
| +print $code;
|
| +close STDOUT;
|
|
|