diff options
author | Bodo Möller <bodo@openssl.org> | 2008-05-01 23:11:34 +0000 |
---|---|---|
committer | Bodo Möller <bodo@openssl.org> | 2008-05-01 23:11:34 +0000 |
commit | 812d8a176c52ffdb0aa9e87829b906c81b151284 (patch) | |
tree | e8659f1983b1d1cf0d2f8eab0c8171b6d1755445 /crypto/bn | |
parent | db533c96e35ccdb8f97f0e5e98ab9db9c4938ca1 (diff) |
Unobtrusive backport of 32-bit x86 Montgomery improvements from 0.9.9-dev:
you need to use "enable-montasm" to see a difference. (Huge speed
advantage, but BN_MONT_CTX is not binary compatible, so this can't be
enabled by default in the 0.9.8 branch.)
The CHANGES entry also covers the 64-bit x86 backport in November 2007
by appro.
Diffstat (limited to 'crypto/bn')
-rw-r--r-- | crypto/bn/.cvsignore | 1 | ||||
-rw-r--r-- | crypto/bn/Makefile | 6 | ||||
-rw-r--r-- | crypto/bn/asm/mo-586.pl | 603 | ||||
-rw-r--r-- | crypto/bn/bn.h | 7 | ||||
-rw-r--r-- | crypto/bn/bn_mont.c | 198 |
5 files changed, 815 insertions, 0 deletions
diff --git a/crypto/bn/.cvsignore b/crypto/bn/.cvsignore index 57df22cf65..c2f3bc0856 100644 --- a/crypto/bn/.cvsignore +++ b/crypto/bn/.cvsignore @@ -4,3 +4,4 @@ Makefile.save semantic.cache co86-elf.s bn86-elf.s +mo86-elf.s diff --git a/crypto/bn/Makefile b/crypto/bn/Makefile index 6dfd528d52..e97c751390 100644 --- a/crypto/bn/Makefile +++ b/crypto/bn/Makefile @@ -67,16 +67,22 @@ bn86-elf.s: asm/bn-586.pl ../perlasm/x86asm.pl (cd asm; $(PERL) bn-586.pl elf $(CFLAGS) > ../$@) co86-elf.s: asm/co-586.pl ../perlasm/x86asm.pl (cd asm; $(PERL) co-586.pl elf $(CFLAGS) > ../$@) +mo86-elf.s: asm/mo-586.pl ../perlasm/x86asm.pl + (cd asm; $(PERL) mo-586.pl elf $(CFLAGS) > ../$@) # COFF bn86-cof.s: asm/bn-586.pl ../perlasm/x86asm.pl (cd asm; $(PERL) bn-586.pl coff $(CFLAGS) > ../$@) co86-cof.s: asm/co-586.pl ../perlasm/x86asm.pl (cd asm; $(PERL) co-586.pl coff $(CFLAGS) > ../$@) +mo86-cof.s: asm/mo-586.pl ../perlasm/x86asm.pl + (cd asm; $(PERL) mo-586.pl coff $(CFLAGS) > ../$@) # a.out bn86-out.s: asm/bn-586.pl ../perlasm/x86asm.pl (cd asm; $(PERL) bn-586.pl a.out $(CFLAGS) > ../$@) co86-out.s: asm/co-586.pl ../perlasm/x86asm.pl (cd asm; $(PERL) co-586.pl a.out $(CFLAGS) > ../$@) +mo86-out.s: asm/mo-586.pl ../perlasm/x86asm.pl + (cd asm; $(PERL) mo-586.pl a.out $(CFLAGS) > ../$@) sparcv8.o: asm/sparcv8.S $(CC) $(CFLAGS) -c asm/sparcv8.S diff --git a/crypto/bn/asm/mo-586.pl b/crypto/bn/asm/mo-586.pl new file mode 100644 index 0000000000..0982293094 --- /dev/null +++ b/crypto/bn/asm/mo-586.pl @@ -0,0 +1,603 @@ +#!/usr/bin/env perl + +# This is crypto/bn/asm/x86-mont.pl (with asciz from crypto/perlasm/x86asm.pl) +# from OpenSSL 0.9.9-dev + +sub ::asciz +{ my @str=unpack("C*",shift); + push @str,0; + while ($#str>15) { + &data_byte(@str[0..15]); + foreach (0..15) { shift @str; } + } + &data_byte(@str) if (@str); +} + +# ==================================================================== +# 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/. +# ==================================================================== + +# October 2005 +# +# This is a "teaser" code, as it can be improved in several ways... +# First of all non-SSE2 path should be implemented (yes, for now it +# performs Montgomery multiplication/convolution only on SSE2-capable +# CPUs such as P4, others fall down to original code). Then inner loop +# can be unrolled and modulo-scheduled to improve ILP and possibly +# moved to 128-bit XMM register bank (though it would require input +# rearrangement and/or increase bus bandwidth utilization). Dedicated +# squaring procedure should give further performance improvement... +# Yet, for being draft, the code improves rsa512 *sign* benchmark by +# 110%(!), rsa1024 one - by 70% and rsa4096 - by 20%:-) + +# December 2006 +# +# Modulo-scheduling SSE2 loops results in further 15-20% improvement. +# Integer-only code [being equipped with dedicated squaring procedure] +# gives ~40% on rsa512 sign benchmark... + +push(@INC,"perlasm","../../perlasm"); +require "x86asm.pl"; + +&asm_init($ARGV[0],$0); + +$sse2=0; +for (@ARGV) { $sse2=1 if (/-DOPENSSL_IA32_SSE2/); } + +&external_label("OPENSSL_ia32cap_P") if ($sse2); + +&function_begin("bn_mul_mont"); + +$i="edx"; +$j="ecx"; +$ap="esi"; $tp="esi"; # overlapping variables!!! +$rp="edi"; $bp="edi"; # overlapping variables!!! +$np="ebp"; +$num="ebx"; + +$_num=&DWP(4*0,"esp"); # stack top layout +$_rp=&DWP(4*1,"esp"); +$_ap=&DWP(4*2,"esp"); +$_bp=&DWP(4*3,"esp"); +$_np=&DWP(4*4,"esp"); +$_n0=&DWP(4*5,"esp"); $_n0q=&QWP(4*5,"esp"); +$_sp=&DWP(4*6,"esp"); +$_bpend=&DWP(4*7,"esp"); +$frame=32; # size of above frame rounded up to 16n + + &xor ("eax","eax"); + &mov ("edi",&wparam(5)); # int num + &cmp ("edi",4); + &jl (&label("just_leave")); + + &lea ("esi",&wparam(0)); # put aside pointer to argument block + &lea ("edx",&wparam(1)); # load ap + &mov ("ebp","esp"); # saved stack pointer! + &add ("edi",2); # extra two words on top of tp + &neg ("edi"); + &lea ("esp",&DWP(-$frame,"esp","edi",4)); # alloca($frame+4*(num+2)) + &neg ("edi"); + + # minimize cache contention by arraning 2K window between stack + # pointer and ap argument [np is also position sensitive vector, + # but it's assumed to be near ap, as it's allocated at ~same + # time]. + &mov ("eax","esp"); + &sub ("eax","edx"); + &and ("eax",2047); + &sub ("esp","eax"); # this aligns sp and ap modulo 2048 + + &xor ("edx","esp"); + &and ("edx",2048); + &xor ("edx",2048); + &sub ("esp","edx"); # this splits them apart modulo 4096 + + &and ("esp",-64); # align to cache line + + ################################# load argument block... + &mov ("eax",&DWP(0*4,"esi"));# BN_ULONG *rp + &mov ("ebx",&DWP(1*4,"esi"));# const BN_ULONG *ap + &mov ("ecx",&DWP(2*4,"esi"));# const BN_ULONG *bp + &mov ("edx",&DWP(3*4,"esi"));# const BN_ULONG *np + &mov ("esi",&DWP(4*4,"esi"));# const BN_ULONG *n0 + #&mov ("edi",&DWP(5*4,"esi"));# int num + + &mov ("esi",&DWP(0,"esi")); # pull n0[0] + &mov ($_rp,"eax"); # ... save a copy of argument block + &mov ($_ap,"ebx"); + &mov ($_bp,"ecx"); + &mov ($_np,"edx"); + &mov ($_n0,"esi"); + &lea ($num,&DWP(-3,"edi")); # num=num-1 to assist modulo-scheduling + #&mov ($_num,$num); # redundant as $num is not reused + &mov ($_sp,"ebp"); # saved stack pointer! + +if($sse2) { +$acc0="mm0"; # mmx register bank layout +$acc1="mm1"; +$car0="mm2"; +$car1="mm3"; +$mul0="mm4"; +$mul1="mm5"; +$temp="mm6"; +$mask="mm7"; + + &picmeup("eax","OPENSSL_ia32cap_P"); + &bt (&DWP(0,"eax"),26); + &jnc (&label("non_sse2")); + + &mov ("eax",-1); + &movd ($mask,"eax"); # mask 32 lower bits + + &mov ($ap,$_ap); # load input pointers + &mov ($bp,$_bp); + &mov ($np,$_np); + + &xor ($i,$i); # i=0 + &xor ($j,$j); # j=0 + + &movd ($mul0,&DWP(0,$bp)); # bp[0] + &movd ($mul1,&DWP(0,$ap)); # ap[0] + &movd ($car1,&DWP(0,$np)); # np[0] + + &pmuludq($mul1,$mul0); # ap[0]*bp[0] + &movq ($car0,$mul1); + &movq ($acc0,$mul1); # I wish movd worked for + &pand ($acc0,$mask); # inter-register transfers + + &pmuludq($mul1,$_n0q); # *=n0 + + &pmuludq($car1,$mul1); # "t[0]"*np[0]*n0 + &paddq ($car1,$acc0); + + &movd ($acc1,&DWP(4,$np)); # np[1] + &movd ($acc0,&DWP(4,$ap)); # ap[1] + + &psrlq ($car0,32); + &psrlq ($car1,32); + + &inc ($j); # j++ +&set_label("1st",16); + &pmuludq($acc0,$mul0); # ap[j]*bp[0] + &pmuludq($acc1,$mul1); # np[j]*m1 + &paddq ($car0,$acc0); # +=c0 + &paddq ($car1,$acc1); # +=c1 + + &movq ($acc0,$car0); + &pand ($acc0,$mask); + &movd ($acc1,&DWP(4,$np,$j,4)); # np[j+1] + &paddq ($car1,$acc0); # +=ap[j]*bp[0]; + &movd ($acc0,&DWP(4,$ap,$j,4)); # ap[j+1] + &psrlq ($car0,32); + &movd (&DWP($frame-4,"esp",$j,4),$car1); # tp[j-1]= + &psrlq ($car1,32); + + &lea ($j,&DWP(1,$j)); + &cmp ($j,$num); + &jl (&label("1st")); + + &pmuludq($acc0,$mul0); # ap[num-1]*bp[0] + &pmuludq($acc1,$mul1); # np[num-1]*m1 + &paddq ($car0,$acc0); # +=c0 + &paddq ($car1,$acc1); # +=c1 + + &movq ($acc0,$car0); + &pand ($acc0,$mask); + &paddq ($car1,$acc0); # +=ap[num-1]*bp[0]; + &movd (&DWP($frame-4,"esp",$j,4),$car1); # tp[num-2]= + + &psrlq ($car0,32); + &psrlq ($car1,32); + + &paddq ($car1,$car0); + &movq (&QWP($frame,"esp",$num,4),$car1); # tp[num].tp[num-1] + + &inc ($i); # i++ +&set_label("outer"); + &xor ($j,$j); # j=0 + + &movd ($mul0,&DWP(0,$bp,$i,4)); # bp[i] + &movd ($mul1,&DWP(0,$ap)); # ap[0] + &movd ($temp,&DWP($frame,"esp")); # tp[0] + &movd ($car1,&DWP(0,$np)); # np[0] + &pmuludq($mul1,$mul0); # ap[0]*bp[i] + + &paddq ($mul1,$temp); # +=tp[0] + &movq ($acc0,$mul1); + &movq ($car0,$mul1); + &pand ($acc0,$mask); + + &pmuludq($mul1,$_n0q); # *=n0 + + &pmuludq($car1,$mul1); + &paddq ($car1,$acc0); + + &movd ($temp,&DWP($frame+4,"esp")); # tp[1] + &movd ($acc1,&DWP(4,$np)); # np[1] + &movd ($acc0,&DWP(4,$ap)); # ap[1] + + &psrlq ($car0,32); + &psrlq ($car1,32); + &paddq ($car0,$temp); # +=tp[1] + + &inc ($j); # j++ + &dec ($num); +&set_label("inner"); + &pmuludq($acc0,$mul0); # ap[j]*bp[i] + &pmuludq($acc1,$mul1); # np[j]*m1 + &paddq ($car0,$acc0); # +=c0 + &paddq ($car1,$acc1); # +=c1 + + &movq ($acc0,$car0); + &movd ($temp,&DWP($frame+4,"esp",$j,4));# tp[j+1] + &pand ($acc0,$mask); + &movd ($acc1,&DWP(4,$np,$j,4)); # np[j+1] + &paddq ($car1,$acc0); # +=ap[j]*bp[i]+tp[j] + &movd ($acc0,&DWP(4,$ap,$j,4)); # ap[j+1] + &psrlq ($car0,32); + &movd (&DWP($frame-4,"esp",$j,4),$car1);# tp[j-1]= + &psrlq ($car1,32); + &paddq ($car0,$temp); # +=tp[j+1] + + &dec ($num); + &lea ($j,&DWP(1,$j)); # j++ + &jnz (&label("inner")); + + &mov ($num,$j); + &pmuludq($acc0,$mul0); # ap[num-1]*bp[i] + &pmuludq($acc1,$mul1); # np[num-1]*m1 + &paddq ($car0,$acc0); # +=c0 + &paddq ($car1,$acc1); # +=c1 + + &movq ($acc0,$car0); + &pand ($acc0,$mask); + &paddq ($car1,$acc0); # +=ap[num-1]*bp[i]+tp[num-1] + &movd (&DWP($frame-4,"esp",$j,4),$car1); # tp[num-2]= + &psrlq ($car0,32); + &psrlq ($car1,32); + + &movd ($temp,&DWP($frame+4,"esp",$num,4)); # += tp[num] + &paddq ($car1,$car0); + &paddq ($car1,$temp); + &movq (&QWP($frame,"esp",$num,4),$car1); # tp[num].tp[num-1] + + &lea ($i,&DWP(1,$i)); # i++ + &cmp ($i,$num); + &jle (&label("outer")); + + &emms (); # done with mmx bank + &jmp (&label("common_tail")); + +&set_label("non_sse2",16); +} + +if (0) { + &mov ("esp",$_sp); + &xor ("eax","eax"); # signal "not fast enough [yet]" + &jmp (&label("just_leave")); + # While the below code provides competitive performance for + # all key lengthes on modern Intel cores, it's still more + # than 10% slower for 4096-bit key elsewhere:-( "Competitive" + # means compared to the original integer-only assembler. + # 512-bit RSA sign is better by ~40%, but that's about all + # one can say about all CPUs... +} else { +$inp="esi"; # integer path uses these registers differently +$word="edi"; +$carry="ebp"; + + &mov ($inp,$_ap); + &lea ($carry,&DWP(1,$num)); + &mov ($word,$_bp); + &xor ($j,$j); # j=0 + &mov ("edx",$inp); + &and ($carry,1); # see if num is even + &sub ("edx",$word); # see if ap==bp + &lea ("eax",&DWP(4,$word,$num,4)); # &bp[num] + &or ($carry,"edx"); + &mov ($word,&DWP(0,$word)); # bp[0] + &jz (&label("bn_sqr_mont")); + &mov ($_bpend,"eax"); + &mov ("eax",&DWP(0,$inp)); + &xor ("edx","edx"); + +&set_label("mull",16); + &mov ($carry,"edx"); + &mul ($word); # ap[j]*bp[0] + &add ($carry,"eax"); + &lea ($j,&DWP(1,$j)); + &adc ("edx",0); + &mov ("eax",&DWP(0,$inp,$j,4)); # ap[j+1] + &cmp ($j,$num); + &mov (&DWP($frame-4,"esp",$j,4),$carry); # tp[j]= + &jl (&label("mull")); + + &mov ($carry,"edx"); + &mul ($word); # ap[num-1]*bp[0] + &mov ($word,$_n0); + &add ("eax",$carry); + &mov ($inp,$_np); + &adc ("edx",0); + &imul ($word,&DWP($frame,"esp")); # n0*tp[0] + + &mov (&DWP($frame,"esp",$num,4),"eax"); # tp[num-1]= + &xor ($j,$j); + &mov (&DWP($frame+4,"esp",$num,4),"edx"); # tp[num]= + &mov (&DWP($frame+8,"esp",$num,4),$j); # tp[num+1]= + + &mov ("eax",&DWP(0,$inp)); # np[0] + &mul ($word); # np[0]*m + &add ("eax",&DWP($frame,"esp")); # +=tp[0] + &mov ("eax",&DWP(4,$inp)); # np[1] + &adc ("edx",0); + &inc ($j); + + &jmp (&label("2ndmadd")); + +&set_label("1stmadd",16); + &mov ($carry,"edx"); + &mul ($word); # ap[j]*bp[i] + &add ($carry,&DWP($frame,"esp",$j,4)); # +=tp[j] + &lea ($j,&DWP(1,$j)); + &adc ("edx",0); + &add ($carry,"eax"); + &mov ("eax",&DWP(0,$inp,$j,4)); # ap[j+1] + &adc ("edx",0); + &cmp ($j,$num); + &mov (&DWP($frame-4,"esp",$j,4),$carry); # tp[j]= + &jl (&label("1stmadd")); + + &mov ($carry,"edx"); + &mul ($word); # ap[num-1]*bp[i] + &add ("eax",&DWP($frame,"esp",$num,4)); # +=tp[num-1] + &mov ($word,$_n0); + &adc ("edx",0); + &mov ($inp,$_np); + &add ($carry,"eax"); + &adc ("edx",0); + &imul ($word,&DWP($frame,"esp")); # n0*tp[0] + + &xor ($j,$j); + &add ("edx",&DWP($frame+4,"esp",$num,4)); # carry+=tp[num] + &mov (&DWP($frame,"esp",$num,4),$carry); # tp[num-1]= + &adc ($j,0); + &mov ("eax",&DWP(0,$inp)); # np[0] + &mov (&DWP($frame+4,"esp",$num,4),"edx"); # tp[num]= + &mov (&DWP($frame+8,"esp",$num,4),$j); # tp[num+1]= + + &mul ($word); # np[0]*m + &add ("eax",&DWP($frame,"esp")); # +=tp[0] + &mov ("eax",&DWP(4,$inp)); # np[1] + &adc ("edx",0); + &mov ($j,1); + +&set_label("2ndmadd",16); + &mov ($carry,"edx"); + &mul ($word); # np[j]*m + &add ($carry,&DWP($frame,"esp",$j,4)); # +=tp[j] + &lea ($j,&DWP(1,$j)); + &adc ("edx",0); + &add ($carry,"eax"); + &mov ("eax",&DWP(0,$inp,$j,4)); # np[j+1] + &adc ("edx",0); + &cmp ($j,$num); + &mov (&DWP($frame-8,"esp",$j,4),$carry); # tp[j-1]= + &jl (&label("2ndmadd")); + + &mov ($carry,"edx"); + &mul ($word); # np[j]*m + &add ($carry,&DWP($frame,"esp",$num,4)); # +=tp[num-1] + &adc ("edx",0); + &add ($carry,"eax"); + &adc ("edx",0); + &mov (&DWP($frame-4,"esp",$num,4),$carry); # tp[num-2]= + + &xor ("eax","eax"); + &mov ($j,$_bp); # &bp[i] + &add ("edx",&DWP($frame+4,"esp",$num,4)); # carry+=tp[num] + &adc ("eax",&DWP($frame+8,"esp",$num,4)); # +=tp[num+1] + &lea ($j,&DWP(4,$j)); + &mov (&DWP($frame,"esp",$num,4),"edx"); # tp[num-1]= + &cmp ($j,$_bpend); + &mov (&DWP($frame+4,"esp",$num,4),"eax"); # tp[num]= + &je (&label("common_tail")); + + &mov ($word,&DWP(0,$j)); # bp[i+1] + &mov ($inp,$_ap); + &mov ($_bp,$j); # &bp[++i] + &xor ($j,$j); + &xor ("edx","edx"); + &mov ("eax",&DWP(0,$inp)); + &jmp (&label("1stmadd")); + +&set_label("bn_sqr_mont",16); +$sbit=$num; + &mov ($_num,$num); + &mov ($_bp,$j); # i=0 + + &mov ("eax",$word); # ap[0] + &mul ($word); # ap[0]*ap[0] + &mov (&DWP($frame,"esp"),"eax"); # tp[0]= + &mov ($sbit,"edx"); + &shr ("edx",1); + &and ($sbit,1); + &inc ($j); +&set_label("sqr",16); + &mov ("eax",&DWP(0,$inp,$j,4)); # ap[j] + &mov ($carry,"edx"); + &mul ($word); # ap[j]*ap[0] + &add ("eax",$carry); + &lea ($j,&DWP(1,$j)); + &adc ("edx",0); + &lea ($carry,&DWP(0,$sbit,"eax",2)); + &shr ("eax",31); + &cmp ($j,$_num); + &mov ($sbit,"eax"); + &mov (&DWP($frame-4,"esp",$j,4),$carry); # tp[j]= + &jl (&label("sqr")); + + &mov ("eax",&DWP(0,$inp,$j,4)); # ap[num-1] + &mov ($carry,"edx"); + &mul ($word); # ap[num-1]*ap[0] + &add ("eax",$carry); + &mov ($word,$_n0); + &adc ("edx",0); + &mov ($inp,$_np); + &lea ($carry,&DWP(0,$sbit,"eax",2)); + &imul ($word,&DWP($frame,"esp")); # n0*tp[0] + &shr ("eax",31); + &mov (&DWP($frame,"esp",$j,4),$carry); # tp[num-1]= + + &lea ($carry,&DWP(0,"eax","edx",2)); + &mov ("eax",&DWP(0,$inp)); # np[0] + &shr ("edx",31); + &mov (&DWP($frame+4,"esp",$j,4),$carry); # tp[num]= + &mov (&DWP($frame+8,"esp",$j,4),"edx"); # tp[num+1]= + + &mul ($word); # np[0]*m + &add ("eax",&DWP($frame,"esp")); # +=tp[0] + &mov ($num,$j); + &adc ("edx",0); + &mov ("eax",&DWP(4,$inp)); # np[1] + &mov ($j,1); + +&set_label("3rdmadd",16); + &mov ($carry,"edx"); + &mul ($word); # np[j]*m + &add ($carry,&DWP($frame,"esp",$j,4)); # +=tp[j] + &adc ("edx",0); + &add ($carry,"eax"); + &mov ("eax",&DWP(4,$inp,$j,4)); # np[j+1] + &adc ("edx",0); + &mov (&DWP($frame-4,"esp",$j,4),$carry); # tp[j-1]= + + &mov ($carry,"edx"); + &mul ($word); # np[j+1]*m + &add ($carry,&DWP($frame+4,"esp",$j,4)); # +=tp[j+1] + &lea ($j,&DWP(2,$j)); + &adc ("edx",0); + &add ($carry,"eax"); + &mov ("eax",&DWP(0,$inp,$j,4)); # np[j+2] + &adc ("edx",0); + &cmp ($j,$num); + &mov (&DWP($frame-8,"esp",$j,4),$carry); # tp[j]= + &jl (&label("3rdmadd")); + + &mov ($carry,"edx"); + &mul ($word); # np[j]*m + &add ($carry,&DWP($frame,"esp",$num,4)); # +=tp[num-1] + &adc ("edx",0); + &add ($carry,"eax"); + &adc ("edx",0); + &mov (&DWP($frame-4,"esp",$num,4),$carry); # tp[num-2]= + + &mov ($j,$_bp); # i + &xor ("eax","eax"); + &mov ($inp,$_ap); + &add ("edx",&DWP($frame+4,"esp",$num,4)); # carry+=tp[num] + &adc ("eax",&DWP($frame+8,"esp",$num,4)); # +=tp[num+1] + &mov (&DWP($frame,"esp",$num,4),"edx"); # tp[num-1]= + &cmp ($j,$num); + &mov (&DWP($frame+4,"esp",$num,4),"eax"); # tp[num]= + &je (&label("common_tail")); + + &mov ($word,&DWP(4,$inp,$j,4)); # ap[i] + &lea ($j,&DWP(1,$j)); + &mov ("eax",$word); + &mov ($_bp,$j); # ++i + &mul ($word); # ap[i]*ap[i] + &add ("eax",&DWP($frame,"esp",$j,4)); # +=tp[i] + &adc ("edx",0); + &mov (&DWP($frame,"esp",$j,4),"eax"); # tp[i]= + &xor ($carry,$carry); + &cmp ($j,$num); + &lea ($j,&DWP(1,$j)); + &je (&label("sqrlast")); + + &mov ($sbit,"edx"); # zaps $num + &shr ("edx",1); + &and ($sbit,1); +&set_label("sqradd",16); + &mov ("eax",&DWP(0,$inp,$j,4)); # ap[j] + &mov ($carry,"edx"); + &mul ($word); # ap[j]*ap[i] + &add ("eax",$carry); + &lea ($carry,&DWP(0,"eax","eax")); + &adc ("edx",0); + &shr ("eax",31); + &add ($carry,&DWP($frame,"esp",$j,4)); # +=tp[j] + &lea ($j,&DWP(1,$j)); + &adc ("eax",0); + &add ($carry,$sbit); + &adc ("eax",0); + &cmp ($j,$_num); + &mov (&DWP($frame-4,"esp",$j,4),$carry); # tp[j]= + &mov ($sbit,"eax"); + &jle (&label("sqradd")); + + &mov ($carry,"edx"); + &lea ("edx",&DWP(0,$sbit,"edx",2)); + &shr ($carry,31); +&set_label("sqrlast"); + &mov ($word,$_n0); + &mov ($inp,$_np); + &imul ($word,&DWP($frame,"esp")); # n0*tp[0] + + &add ("edx",&DWP($frame,"esp",$j,4)); # +=tp[num] + &mov ("eax",&DWP(0,$inp)); # np[0] + &adc ($carry,0); + &mov (&DWP($frame,"esp",$j,4),"edx"); # tp[num]= + &mov (&DWP($frame+4,"esp",$j,4),$carry); # tp[num+1]= + + &mul ($word); # np[0]*m + &add ("eax",&DWP($frame,"esp")); # +=tp[0] + &lea ($num,&DWP(-1,$j)); + &adc ("edx",0); + &mov ($j,1); + &mov ("eax",&DWP(4,$inp)); # np[1] + + &jmp (&label("3rdmadd")); +} + +&set_label("common_tail",16); + &mov ($np,$_np); # load modulus pointer + &mov ($rp,$_rp); # load result pointer + &lea ($tp,&DWP($frame,"esp")); # [$ap and $bp are zapped] + + &mov ("eax",&DWP(0,$tp)); # tp[0] + &mov ($j,$num); # j=num-1 + &xor ($i,$i); # i=0 and clear CF! + +&set_label("sub",16); + &sbb ("eax",&DWP(0,$np,$i,4)); + &mov (&DWP(0,$rp,$i,4),"eax"); # rp[i]=tp[i]-np[i] + &dec ($j); # doesn't affect CF! + &mov ("eax",&DWP(4,$tp,$i,4)); # tp[i+1] + &lea ($i,&DWP(1,$i)); # i++ + &jge (&label("sub")); + + &sbb ("eax",0); # handle upmost overflow bit + &and ($tp,"eax"); + ¬ ("eax"); + &mov ($np,$rp); + &and ($np,"eax"); + &or ($tp,$np); # tp=carry?tp:rp + +&set_label("copy",16); # copy or in-place refresh + &mov ("eax",&DWP(0,$tp,$num,4)); + &mov (&DWP(0,$rp,$num,4),"eax"); # rp[i]=tp[i] + &mov (&DWP($frame,"esp",$num,4),$j); # zap temporary vector + &dec ($num); + &jge (&label("copy")); + + &mov ("esp",$_sp); # pull saved stack pointer + &mov ("eax",1); +&set_label("just_leave"); +&function_end("bn_mul_mont"); + +&asciz("Montgomery Multiplication for x86, CRYPTOGAMS by <appro\@openssl.org>"); + +&asm_finish(); diff --git a/crypto/bn/bn.h b/crypto/bn/bn.h index df6eea29a7..de39a72074 100644 --- a/crypto/bn/bn.h +++ b/crypto/bn/bn.h @@ -303,7 +303,14 @@ struct bn_mont_ctx_st BIGNUM N; /* The modulus */ BIGNUM Ni; /* R*(1/R mod N) - N*Ni = 1 * (Ni is only stored for bignum algorithm) */ +#if defined(OPENSSL_BN_ASM_MONT) && (BN_BITS2<=32) + /* Non-default compile (can only happen with "enable-montasm"), + * uses the new type from 0.9.9 to accomodate two words: */ + BN_ULONG n0[2];/* least significant word(s) of Ni */ +#else + /* By default, use old type: */ BN_ULONG n0; /* least significant word of Ni */ +#endif int flags; }; diff --git a/crypto/bn/bn_mont.c b/crypto/bn/bn_mont.c index 23e4ba5140..e17c697e39 100644 --- a/crypto/bn/bn_mont.c +++ b/crypto/bn/bn_mont.c @@ -122,6 +122,12 @@ #define MONT_WORD /* use the faster word-based algorithm */ +#if defined(MONT_WORD) && defined(OPENSSL_BN_ASM_MONT) && (BN_BITS2<=32) +static int BN_from_montgomery_word(BIGNUM *ret, BIGNUM *r, BN_MONT_CTX *mont); +#endif + + + int BN_mod_mul_montgomery(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, BN_MONT_CTX *mont, BN_CTX *ctx) { @@ -133,7 +139,11 @@ int BN_mod_mul_montgomery(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, if (num>1 && a->top==num && b->top==num) { if (bn_wexpand(r,num) == NULL) return(0); +#if defined(OPENSSL_BN_ASM_MONT) && (BN_BITS2<=32) /* non-default compile */ + if (bn_mul_mont(r->d,a->d,b->d,mont->N.d,mont->n0,num)) +#else if (bn_mul_mont(r->d,a->d,b->d,mont->N.d,&mont->n0,num)) +#endif { r->neg = a->neg^b->neg; r->top = num; @@ -157,7 +167,11 @@ int BN_mod_mul_montgomery(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, if (!BN_mul(tmp,a,b,ctx)) goto err; } /* reduce from aRR to aR */ +#if defined(MONT_WORD) && defined(OPENSSL_BN_ASM_MONT) && (BN_BITS2<=32) + if (!BN_from_montgomery_word(r,tmp,mont)) goto err; +#else if (!BN_from_montgomery(r,tmp,mont,ctx)) goto err; +#endif bn_check_top(r); ret=1; err: @@ -165,6 +179,145 @@ err: return(ret); } +#if defined(MONT_WORD) && defined(OPENSSL_BN_ASM_MONT) && (BN_BITS2<=32) +static int BN_from_montgomery_word(BIGNUM *ret, BIGNUM *r, BN_MONT_CTX *mont) + { + BIGNUM *n; + BN_ULONG *ap,*np,*rp,n0,v,*nrp; + int al,nl,max,i,x,ri; + + n= &(mont->N); + /* mont->ri is the size of mont->N in bits (rounded up + to the word size) */ + al=ri=mont->ri/BN_BITS2; + + nl=n->top; + if ((al == 0) || (nl == 0)) { ret->top=0; return(1); } + + max=(nl+al+1); /* allow for overflow (no?) XXX */ + if (bn_wexpand(r,max) == NULL) return(0); + + r->neg^=n->neg; + np=n->d; + rp=r->d; + nrp= &(r->d[nl]); + + /* clear the top words of T */ + for (i=r->top; i<max; i++) /* memset? XXX */ + r->d[i]=0; + + r->top=max; + n0=mont->n0[0]; + +#ifdef BN_COUNT + fprintf(stderr,"word BN_from_montgomery_word %d * %d\n",nl,nl); +#endif + for (i=0; i<nl; i++) + { +#ifdef __TANDEM + { + long long t1; + long long t2; + long long t3; + t1 = rp[0] * (n0 & 0177777); + t2 = 037777600000l; + t2 = n0 & t2; + t3 = rp[0] & 0177777; + t2 = (t3 * t2) & BN_MASK2; + t1 = t1 + t2; + v=bn_mul_add_words(rp,np,nl,(BN_ULONG) t1); + } +#else + v=bn_mul_add_words(rp,np,nl,(rp[0]*n0)&BN_MASK2); +#endif + nrp++; + rp++; + if (((nrp[-1]+=v)&BN_MASK2) >= v) + continue; + else + { + if (((++nrp[0])&BN_MASK2) != 0) continue; + if (((++nrp[1])&BN_MASK2) != 0) continue; + for (x=2; (((++nrp[x])&BN_MASK2) == 0); x++) ; + } + } + bn_correct_top(r); + + /* mont->ri will be a multiple of the word size and below code + * is kind of BN_rshift(ret,r,mont->ri) equivalent */ + if (r->top <= ri) + { + ret->top=0; + return(1); + } + al=r->top-ri; + + if (bn_wexpand(ret,ri) == NULL) return(0); + x=0-(((al-ri)>>(sizeof(al)*8-1))&1); + ret->top=x=(ri&~x)|(al&x); /* min(ri,al) */ + ret->neg=r->neg; + + rp=ret->d; + ap=&(r->d[ri]); + + { + size_t m1,m2; + + v=bn_sub_words(rp,ap,np,ri); + /* this ----------------^^ works even in al<ri case + * thanks to zealous zeroing of top of the vector in the + * beginning. */ + + /* if (al==ri && !v) || al>ri) nrp=rp; else nrp=ap; */ + /* in other words if subtraction result is real, then + * trick unconditional memcpy below to perform in-place + * "refresh" instead of actual copy. */ + m1=0-(size_t)(((al-ri)>>(sizeof(al)*8-1))&1); /* al<ri */ + m2=0-(size_t)(((ri-al)>>(sizeof(al)*8-1))&1); /* al>ri */ + m1|=m2; /* (al!=ri) */ + m1|=(0-(size_t)v); /* (al!=ri || v) */ + m1&=~m2; /* (al!=ri || v) && !al>ri */ + nrp=(BN_ULONG *)(((size_t)rp&~m1)|((size_t)ap&m1)); + } + + /* 'i<ri' is chosen to eliminate dependency on input data, even + * though it results in redundant copy in al<ri case. */ + for (i=0,ri-=4; i<ri; i+=4) + { + BN_ULONG t1,t2,t3,t4; + + t1=nrp[i+0]; + t2=nrp[i+1]; + t3=nrp[i+2]; ap[i+0]=0; + t4=nrp[i+3]; ap[i+1]=0; + rp[i+0]=t1; ap[i+2]=0; + rp[i+1]=t2; ap[i+3]=0; + rp[i+2]=t3; + rp[i+3]=t4; + } + for (ri+=4; i<ri; i++) + rp[i]=nrp[i], ap[i]=0; + bn_correct_top(r); + bn_correct_top(ret); + bn_check_top(ret); + + return(1); + } + +int BN_from_montgomery(BIGNUM *ret, const BIGNUM *a, BN_MONT_CTX *mont, + BN_CTX *ctx) + { + int retn=0; + BIGNUM *t; + + BN_CTX_start(ctx); + if ((t = BN_CTX_get(ctx)) && BN_copy(t,a)) + retn = BN_from_montgomery_word(ret,t,mont); + BN_CTX_end(ctx); + return retn; + } +#else + int BN_from_montgomery(BIGNUM *ret, const BIGNUM *a, BN_MONT_CTX *mont, BN_CTX *ctx) { @@ -357,6 +510,7 @@ int BN_from_montgomery(BIGNUM *ret, const BIGNUM *a, BN_MONT_CTX *mont, BN_CTX_end(ctx); return(retn); } +#endif /* defined(MONT_WORD) && defined(OPENSSL_BN_ASM_MONT) && (BN_BITS2<=32) */ BN_MONT_CTX *BN_MONT_CTX_new(void) { @@ -376,6 +530,11 @@ void BN_MONT_CTX_init(BN_MONT_CTX *ctx) BN_init(&(ctx->RR)); BN_init(&(ctx->N)); BN_init(&(ctx->Ni)); +#if defined(OPENSSL_BN_ASM_MONT) && (BN_BITS2<=32) /* non-default compile */ + ctx->n0[0] = ctx->n0[1] = 0; +#else + ctx->n0 = 0; +#endif ctx->flags=0; } @@ -409,7 +568,11 @@ int BN_MONT_CTX_set(BN_MONT_CTX *mont, const BIGNUM *mod, BN_CTX *ctx) mont->ri=(BN_num_bits(mod)+(BN_BITS2-1))/BN_BITS2*BN_BITS2; BN_zero(R); +#if defined(OPENSSL_BN_ASM_MONT) && (BN_BITS2<=32) /* non-default compile */ + if (!(BN_set_bit(R,2*BN_BITS2))) goto err; /* R */ +#else if (!(BN_set_bit(R,BN_BITS2))) goto err; /* R */ +#endif buf[0]=mod->d[0]; /* tmod = N mod word size */ buf[1]=0; @@ -419,6 +582,35 @@ int BN_MONT_CTX_set(BN_MONT_CTX *mont, const BIGNUM *mod, BN_CTX *ctx) tmod.top = buf[0] != 0 ? 1 : 0; tmod.dmax=2; tmod.neg=0; + +#if defined(OPENSSL_BN_ASM_MONT) && (BN_BITS2<=32) + tmod.top=0; + if ((buf[0] = mod->d[0])) tmod.top=1; + if ((buf[1] = mod->top>1 ? mod->d[1] : 0)) tmod.top=2; + + if ((BN_mod_inverse(Ri,R,&tmod,ctx)) == NULL) + goto err; + if (!BN_lshift(Ri,Ri,2*BN_BITS2)) goto err; /* R*Ri */ + if (!BN_is_zero(Ri)) + { + if (!BN_sub_word(Ri,1)) goto err; + } + else /* if N mod word size == 1 */ + { + if (bn_expand(Ri,(int)sizeof(BN_ULONG)*2) == NULL) + goto err; + /* Ri-- (mod double word size) */ + Ri->neg=0; + Ri->d[0]=BN_MASK2; + Ri->d[1]=BN_MASK2; + Ri->top=2; + } + if (!BN_div(Ri,NULL,Ri,&tmod,ctx)) goto err; + /* Ni = (R*Ri-1)/N, + * keep only couple of least significant words: */ + mont->n0[0] = (Ri->top > 0) ? Ri->d[0] : 0; + mont->n0[1] = (Ri->top > 1) ? Ri->d[1] : 0; +#else /* Ri = R^-1 mod N*/ if ((BN_mod_inverse(Ri,R,&tmod,ctx)) == NULL) goto err; @@ -435,6 +627,7 @@ int BN_MONT_CTX_set(BN_MONT_CTX *mont, const BIGNUM *mod, BN_CTX *ctx) /* Ni = (R*Ri-1)/N, * keep only least significant word: */ mont->n0 = (Ri->top > 0) ? Ri->d[0] : 0; +#endif } #else /* !MONT_WORD */ { /* bignum version */ @@ -470,7 +663,12 @@ BN_MONT_CTX *BN_MONT_CTX_copy(BN_MONT_CTX *to, BN_MONT_CTX *from) if (!BN_copy(&(to->N),&(from->N))) return NULL; if (!BN_copy(&(to->Ni),&(from->Ni))) return NULL; to->ri=from->ri; +#if defined(OPENSSL_BN_ASM_MONT) && (BN_BITS2<=32) /* non-default compile */ + to->n0[0]=from->n0[0]; + to->n0[1]=from->n0[1]; +#else to->n0=from->n0; +#endif return(to); } |