Non-SSE2 path to bn_mul_mont. But it's disabled, because it currently
doesn't give performance improvement.
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@ -2,8 +2,9 @@
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# ====================================================================
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# Written by Andy Polyakov <appro@fy.chalmers.se> for the OpenSSL
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# project. Rights for redistribution and usage in source and binary
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# forms are granted according to the OpenSSL license.
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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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# October 2005
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@ -31,12 +32,12 @@ for (@ARGV) { $sse2=1 if (/-DOPENSSL_IA32_SSE2/); }
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&function_begin("bn_mul_mont",$sse2?"EXTRN\t_OPENSSL_ia32cap_P:DWORD":"");
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$i="ebx";
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$i="edx";
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$j="ecx";
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$ap="esi";
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$rp="edi"; $bp="edi"; # overlapping variables!!!
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$np="edx";
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$num="ebp";
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$np="ebp";
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$num="ebx";
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$_rp=&DWP(4*0,"esp"); # stack top layout
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$_ap=&DWP(4*1,"esp");
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@ -45,9 +46,41 @@ $_np=&DWP(4*3,"esp");
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$_n0=&DWP(4*4,"esp");
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$_num=&DWP(4*5,"esp");
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$_sp=&DWP(4*6,"esp");
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$_bpend=&DWP(4*7,"esp");
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$frame=32; # size of above frame rounded up to 16n
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$acc0="mm0"; # mmx register bank layout
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&xor ("eax","eax");
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&mov ("edi",&wparam(5)); # int num
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&cmp ("edi",3);
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&jb (&label("just_leave"));
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################################# load argument block...
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&mov ("eax",&wparam(0)); # BN_ULONG *rp
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&mov ("ebx",&wparam(1)); # const BN_ULONG *ap
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&mov ("ecx",&wparam(2)); # const BN_ULONG *bp
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&mov ("edx",&wparam(3)); # const BN_ULONG *np
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&mov ("esi",&wparam(4)); # const BN_ULONG *n0
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#&mov ("edi",&wparam(5)); # int num
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&mov ("ebp","esp"); # saved stack pointer!
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&add ("edi",2); # extra two words on top of tp
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&neg ("edi");
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&lea ("esp",&DWP(-$frame,"esp","edi",4)); # alloca($frame+4*(num+2))
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&neg ("edi");
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&and ("esp",-4096); # minimize TLB utilization
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&mov ("esi",&DWP(0,"esi")); # pull n0[0]
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&mov ($_rp,"eax"); # ... save a copy of argument block
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&mov ($_ap,"ebx");
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&mov ($_bp,"ecx");
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&mov ($_np,"edx");
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&mov ($_n0,"esi");
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&lea ($num,&DWP(-2,"edi")); # num is restored to its original value
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#&mov ($_num,$num); # redundant as $num is not reused
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&mov ($_sp,"ebp"); # saved stack pointer!
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if($sse2) {
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$acc0="mm0"; # mmx register bank layout
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$acc1="mm1";
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$car0="mm2";
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$car1="mm3";
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@ -56,37 +89,10 @@ $mul1="mm5";
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$temp="mm6";
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$mask="mm7";
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if($sse2) {
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&picmeup("eax","OPENSSL_ia32cap_P");
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&bt (&DWP(0,"eax"),26);
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&jnc (&label("non_sse2"));
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################################# load argument block...
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&mov ("eax",&wparam(0)); # BN_ULONG *rp
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&mov ("ebx",&wparam(1)); # const BN_ULONG *ap
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&mov ("ecx",&wparam(2)); # const BN_ULONG *bp
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&mov ("edx",&wparam(3)); # const BN_ULONG *np
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&mov ("esi",&wparam(4)); # const BN_ULONG *n0
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&mov ($num,&wparam(5)); # int num
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&mov ("edi","esp"); # saved stack pointer!
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&add ($num,1); # extra word on top of tp
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&neg ($num);
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&lea ("esp",&DWP(-$frame,"esp",$num,4)); # alloca($frame+8*($num+1))
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&neg ($num);
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&and ("esp",-1024); # minimize TLB utilization
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&sub ($num,1); # num is restored to its original value
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# and will remain constant from now...
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&mov ("esi",&DWP(0,"esi")); # pull n0[0]
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&mov ($_rp,"eax"); # ... save a copy of argument block
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&mov ($_ap,"ebx");
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&mov ($_bp,"ecx");
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&mov ($_np,"edx");
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&mov ($_n0,"esi");
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#&mov ($_num,$num); # redundant in sse2 context
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&mov ($_sp,"edi"); # saved stack pointer!
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&mov ("eax",-1);
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&movd ($mask,"eax"); # mask 32 lower bits
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@ -195,7 +201,153 @@ if($sse2) {
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&jl (&label("outer"));
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&emms (); # done with mmx bank
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&jmp (&label("common_tail"));
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&set_label("non_sse2",16);
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}
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if (1) {
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&mov ("esp",$_sp);
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&xor ("eax","eax"); # signal "not fast enough [yet]"
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&jmp (&label("just_leave"));
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# The code below gives ~15% improvement on 512-bit benchmark
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# *only*:-( On all other key lengths it's slower for up to 20%.
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# This is because the original code path holds down the overall
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# amount of multiplications by ~25% by deploying bn_sqr_words.
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# In other words, for the code below to be competitive,
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# dedicated squaring procedure is a must...
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} else {
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$inp="esi"; # integer path uses these registers differently
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$word="edi";
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$carry="ebp";
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&sub ($num,1); # non-SSE2 path uses num-1
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&mov ($inp,$_ap);
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&mov ($word,$_bp);
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&lea ("eax",&DWP(4,$word,$num,4)); # &bp[num]
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&mov ($word,&DWP(0,$word)); # bp[0]
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&mov ($_bpend,"eax");
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&xor ($j,$j);
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&xor ("edx","edx");
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&set_label("mull",16);
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&mov ("eax",&DWP(0,$inp,$j,4)); # ap[j]
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&mov ($carry,"edx");
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&mul ($word); # ap[j]*bp[0]
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&lea ($j,&DWP(1,$j));
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&add ("eax",$carry);
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&adc ("edx",0);
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&mov (&DWP($frame-4,"esp",$j,4),"eax"); # tp[j]=
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&cmp ($j,$num);
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&jb (&label("mull"));
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&mov ("eax",&DWP(0,$inp,$num,4)); # ap[num-1]
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&mov ($carry,"edx");
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&mul ($word); # ap[num-1]*bp[0]
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&add ("eax",$carry);
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&adc ("edx",0);
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&mov ($word,$_n0);
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&mov ($inp,$_np);
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&imul ($word,&DWP($frame,"esp")); # n0*tp[0]
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&mov (&DWP($frame,"esp",$num,4),"eax"); # tp[num-1]=
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&xor ($j,$j);
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&mov (&DWP($frame+4,"esp",$num,4),"edx"); # tp[num]=
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&mov (&DWP($frame+8,"esp",$num,4),$j); # tp[num+1]=
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&mov ("eax",&DWP(0,$inp)); # np[0]
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&mul ($word); # np[0]*m
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&add ("eax",&DWP($frame,"esp")); # +=tp[0]
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&adc ("edx",0);
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&mov ($j,1);
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&jmp (&label("2ndmadd"));
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&set_label("1stmadd",16);
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&mov ("eax",&DWP(0,$inp,$j,4)); # ap[j]
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&mov ($carry,"edx");
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&mul ($word); # ap[j]*bp[i]
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&lea ($j,&DWP(1,$j));
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&add ("eax",&DWP($frame-4,"esp",$j,4)); # +=tp[j]
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&adc ("edx",0);
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&add ("eax",$carry);
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&adc ("edx",0);
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&mov (&DWP($frame-4,"esp",$j,4),"eax"); # tp[j]=
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&cmp ($j,$num);
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&jb (&label("1stmadd"));
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&mov ("eax",&DWP(0,$inp,$num,4)); # ap[num-1]
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&mov ($carry,"edx");
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&mul ($word); # ap[num-1]*bp[i]
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&add ("eax",&DWP($frame,"esp",$num,4)); # +=tp[num-1]
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&adc ("edx",0);
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&add ("eax",$carry);
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&adc ("edx",0);
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&mov ($word,$_n0);
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&mov ($inp,$_np);
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&imul ($word,&DWP($frame,"esp")); # n0*tp[0]
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&xor ($j,$j);
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&add ("edx",&DWP($frame+4,"esp",$num,4)); # carry+=tp[num]
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&mov (&DWP($frame,"esp",$num,4),"eax"); # tp[num-1]=
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&adc ($j,0);
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&mov (&DWP($frame+4,"esp",$num,4),"edx"); # tp[num]=
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&mov (&DWP($frame+8,"esp",$num,4),$j); # tp[num+1]=
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&mov ("eax",&DWP(0,$inp)); # np[0]
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&mul ($word); # np[0]*m
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&add ("eax",&DWP($frame,"esp")); # +=tp[0]
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&adc ("edx",0);
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&mov ($j,1);
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&set_label("2ndmadd",16);
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&mov ("eax",&DWP(0,$inp,$j,4)); # np[j]
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&mov ($carry,"edx");
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&mul ($word); # np[j]*m
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&lea ($j,&DWP(1,$j));
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&add ("eax",&DWP($frame-4,"esp",$j,4)); # +=tp[j]
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&adc ("edx",0);
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&add ("eax",$carry);
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&adc ("edx",0);
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&mov (&DWP($frame-8,"esp",$j,4),"eax"); # tp[j-1]=
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&cmp ($j,$num);
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&jb (&label("2ndmadd"));
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&mov ("eax",&DWP(0,$inp,$num,4)); # np[num-1]
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&mov ($carry,"edx");
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&mul ($word); # np[num-1]*m
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&add ("eax",&DWP($frame,"esp",$num,4)); # +=tp[num-1]
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&adc ("edx",0);
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&add ("eax",$carry);
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&adc ("edx",0);
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&mov (&DWP($frame-4,"esp",$num,4),"eax"); # tp[num-2]=
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&xor ("eax","eax");
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&add ("edx",&DWP($frame+4,"esp",$num,4)); # carry+=tp[num]
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&adc ("eax",&DWP($frame+8,"esp",$num,4)); # +=tp[num+1]
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&mov (&DWP($frame,"esp",$num,4),"edx"); # tp[num-1]=
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&mov (&DWP($frame+4,"esp",$num,4),"eax"); # tp[num]=
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&mov ($carry,$_bp); # &bp[i]
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&add ($carry,4);
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&cmp ($carry,$_bpend);
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&je (&label("x86done"));
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&mov ($word,&DWP(0,$carry)); # bp[i]
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&mov ($inp,$_ap);
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&mov ($_bp,$carry); # &bp[++i]
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&xor ($j,$j);
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&xor ("edx","edx");
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&jmp (&label("1stmadd"));
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&set_label("x86done",16);
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&mov ($np,$_np); # make adjustments for tail processing
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&add ($num,1);
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}
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&set_label("common_tail",16);
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&mov ("esi",&DWP($frame,"esp",$num,4));# load upmost overflow bit
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&mov ($rp,$_rp); # load result pointer
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# [$ap and $bp are zapped]
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@ -206,15 +358,15 @@ if($sse2) {
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&mov ("eax",&DWP($frame,"esp",$j,4));
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&cmp ("eax",&DWP(0,$np,$j,4)); # tp[num-1]-np[num-1]?
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&jae (&label("sub")); # if taken CF is cleared
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&set_label("copy");
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&set_label("copy",16);
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&mov ("eax",&DWP($frame,"esp",$j,4));
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&mov (&DWP(0,$rp,$j,4),"eax"); # rp[i]=tp[i]
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&mov (&DWP($frame,"esp",$j,4),$j); # zap temporary vector
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&dec ($j);
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&jge (&label("copy"));
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&jmp (&label("exit_sse2"));
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&jmp (&label("exit"));
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&set_label("sub",4);
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&set_label("sub",16);
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&mov ("eax",&DWP($frame,"esp",$i,4));
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&sbb ("eax",&DWP(0,$np,$i,4));
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&mov (&DWP(0,$rp,$i,4),"eax"); # rp[i]=tp[i]-np[i]
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@ -224,21 +376,15 @@ if($sse2) {
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&lea ($j,&DWP(-1,$num)); # j=num-1
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&sbb ("esi",0); # esi holds upmost overflow bit
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&jc (&label("copy"));
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&set_label("zap");
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&set_label("zap",16);
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&mov (&DWP($frame,"esp",$j,4),$i); # zap temporary vector
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&dec ($j);
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&jge (&label("zap"));
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&set_label("exit_sse2");
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&set_label("exit",4);
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&mov ("esp",$_sp); # pull saved stack pointer
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&mov ("eax",1);
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&jmp (&label("leave"));
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&set_label("non_sse2");
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}
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&xor ("eax","eax"); # zero signals "not implemented [yet]"
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&set_label("leave");
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&set_label("just_leave");
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&function_end("bn_mul_mont");
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&asm_finish();
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