#!/usr/bin/env perl # ==================================================================== # Written by Andy Polyakov for the OpenSSL # project. Rights for redistribution and usage in source and binary # forms are granted according to the OpenSSL license. # ==================================================================== # 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%:-) 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",$sse2?"EXTRN\t_OPENSSL_ia32cap_P:DWORD":""); $i="ebx"; $j="ecx"; $ap="esi"; $rp="edi"; $bp="edi"; # overlapping variables!!! $np="edx"; $num="ebp"; $_rp=&DWP(4*0,"esp"); # stack top layout $_ap=&DWP(4*1,"esp"); $_bp=&DWP(4*2,"esp"); $_np=&DWP(4*3,"esp"); $_n0=&DWP(4*4,"esp"); $_num=&DWP(4*5,"esp"); $_sp=&DWP(4*6,"esp"); $frame=32; # size of above frame rounded up to 16n $acc0="mm0"; # mmx register bank layout $acc1="mm1"; $car0="mm2"; $car1="mm3"; $mul0="mm4"; $mul1="mm5"; $temp="mm6"; $mask="mm7"; if($sse2) { &picmeup("eax","OPENSSL_ia32cap_P"); &bt (&DWP(0,"eax"),26); &jnc (&label("non_sse2")); ################################# load argument block... &mov ("eax",&wparam(0)); # BN_ULONG *rp &mov ("ebx",&wparam(1)); # const BN_ULONG *ap &mov ("ecx",&wparam(2)); # const BN_ULONG *bp &mov ("edx",&wparam(3)); # const BN_ULONG *np &mov ("esi",&wparam(4)); # const BN_ULONG *n0 &mov ($num,&wparam(5)); # int num &mov ("edi","esp"); # saved stack pointer! &add ($num,1); # extra word on top of tp &neg ($num); &lea ("esp",&DWP(-$frame,"esp",$num,4)); # alloca($frame+8*($num+1)) &neg ($num); &and ("esp",-1024); # minimize TLB utilization &sub ($num,1); # num is restored to its original value # and will remain constant from now... &mov ("esi",&DWP(0,"esi")); # pull n0[0] &mov ($_rp,"eax"); # ... save a copy of argument block &mov ($_ap,"ebx"); &mov ($_bp,"ecx"); &mov ($_np,"edx"); &mov ($_n0,"esi"); #&mov ($_num,$num); # redundant in sse2 context &mov ($_sp,"edi"); # saved stack pointer! &mov ("eax",-1); &movd ($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($mul1,$_n0); # *=n0 &pmuludq($car1,$mul1); # "t[0]"*np[0]*n0 &paddq ($car1,$acc0); &psrlq ($car0,32); &psrlq ($car1,32); &inc ($j); # j++ &set_label("1st"); &movd ($acc0,&DWP(0,$ap,$j,4)); # ap[j] &movd ($acc1,&DWP(0,$np,$j,4)); # np[j] &pmuludq($acc0,$mul0); # ap[j]*bp[0] &pmuludq($acc1,$mul1); # np[j]*m1 &paddq ($car0,$acc0); # +=c0 &movq ($acc0,$car0); &pand ($acc0,$mask); &paddq ($car1,$acc1); # +=c1 &paddq ($car1,$acc0); # +=ap[j]*bp[0]; &movd (&DWP($frame-4,"esp",$j,4),$car1); # tp[j-1]= &psrlq ($car0,32); &psrlq ($car1,32); &lea ($j,&DWP(1,$j)); &cmp ($j,$num); &jl (&label("1st")); &paddq ($car1,$car0); &movq (&DWP($frame-4,"esp",$num,4),$car1); &inc ($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,$_n0); # *=n0 &pmuludq($car1,$mul1); &paddq ($car1,$acc0); &psrlq ($car0,32); &psrlq ($car1,32); &inc ($j); # j++ &set_label("inner"); &movd ($acc0,&DWP(0,$ap,$j,4)); # ap[j] &movd ($acc1,&DWP(0,$np,$j,4)); # np[j] &movd ($temp,&DWP($frame,"esp",$j,4));# tp[j] &pmuludq($acc0,$mul0); # ap[j]*bp[i] &pmuludq($acc1,$mul1); # np[j]*m1 &paddq ($car0,$temp); # +=tp[j] &paddq ($car0,$acc0); # +=c0 &movq ($acc0,$car0); &pand ($acc0,$mask); &paddq ($car1,$acc1); # +=c1 &paddq ($car1,$acc0); # +=ap[j]*bp[i]+tp[j] &movd (&DWP($frame-4,"esp",$j,4),$car1); # tp[j-1]= &psrlq ($car0,32); &psrlq ($car1,32); &lea ($j,&DWP(1,$j)); # j++ &cmp ($j,$num); &jl (&label("inner")); &movd ($temp,&DWP($frame,"esp",$num,4)); &paddq ($car1,$car0); &paddq ($car1,$temp); &movq (&DWP($frame-4,"esp",$num,4),$car1); &lea ($i,&DWP(1,$i)); # i++ &cmp ($i,$num); &jl (&label("outer")); &emms (); # done with mmx bank &mov ("esi",&DWP($frame,"esp",$num,4));# load upmost overflow bit &mov ($rp,$_rp); # load result pointer # [$ap and $bp are zapped] &xor ($i,$i); # i=0 &lea ($j,&DWP(-1,$num)); # j=num-1 &cmp ("esi",0); # clears CF unconditionally &jnz (&label("sub")); &mov ("eax",&DWP($frame,"esp",$j,4)); &cmp ("eax",&DWP(0,$np,$j,4)); # tp[num-1]-np[num-1]? &jae (&label("sub")); # if taken CF is cleared &set_label("copy"); &mov ("eax",&DWP($frame,"esp",$j,4)); &mov (&DWP(0,$rp,$j,4),"eax"); # rp[i]=tp[i] &mov (&DWP($frame,"esp",$j,4),$j); # zap temporary vector &dec ($j); &jge (&label("copy")); &jmp (&label("exit_sse2")); &set_label("sub",4); &mov ("eax",&DWP($frame,"esp",$i,4)); &sbb ("eax",&DWP(0,$np,$i,4)); &mov (&DWP(0,$rp,$i,4),"eax"); # rp[i]=tp[i]-np[i] &lea ($i,&DWP(1,$i)); # i++ &dec ($j); # doesn't affect CF! &jge (&label("sub")); &lea ($j,&DWP(-1,$num)); # j=num-1 &sbb ("esi",0); # esi holds upmost overflow bit &jc (&label("copy")); &set_label("zap"); &mov (&DWP($frame,"esp",$j,4),$i); # zap temporary vector &dec ($j); &jge (&label("zap")); &set_label("exit_sse2"); &mov ("esp",$_sp); # pull saved stack pointer &mov ("eax",1); &jmp (&label("leave")); &set_label("non_sse2"); } &xor ("eax","eax"); # zero signals "not implemented [yet]" &set_label("leave"); &function_end("bn_mul_mont"); &asm_finish();