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