# Yet, for being draft, the code improves rsa512 *sign* benchmark by
# 110%(!), rsa1024 one - by 70% and rsa4096 - by 20%:-)
-push(@INC,"perlasm","../../perlasm");
+# December 2006
+#
+# Modulo-scheduling SSE2 loops results in further 15-20% improvement.
+# Integer-only code [being equipped with dedicated squaring procedure]
+# gives >=30% on rsa512 sign benchmark...
+
+$0 =~ m/(.*[\/\\])[^\/\\]+$/; $dir=$1;
+push(@INC,"${dir}","${dir}../../perlasm");
require "x86asm.pl";
&asm_init($ARGV[0],$0);
&external_label("OPENSSL_ia32cap_P") if ($sse2);
-&function_begin("bn_mul_mont",$sse2?"EXTRN\t_OPENSSL_ia32cap_P:DWORD":"");
+&function_begin("bn_mul_mont");
$i="edx";
$j="ecx";
&xor ("eax","eax");
&mov ("edi",&wparam(5)); # int num
- &cmp ("edi",3);
- &jb (&label("just_leave"));
+ &cmp ("edi",4);
+ &jl (&label("just_leave"));
################################# load argument block...
&mov ("eax",&wparam(0)); # BN_ULONG *rp
&mov ($_bp,"ecx");
&mov ($_np,"edx");
&mov ($_n0,"esi");
- &lea ($num,&DWP(-2,"edi")); # num is restored to its original value
+ &lea ($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!
-
+\f
if($sse2) {
$acc0="mm0"; # mmx register bank layout
$acc1="mm1";
&pmuludq($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");
- &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
+ &paddq ($car1,$acc1); # +=c1
+
&movq ($acc0,$car0);
&pand ($acc0,$mask);
-
- &paddq ($car1,$acc1); # +=c1
+ &movd ($acc1,&DWP(4,$np,$j,4)); # np[j+1]
&paddq ($car1,$acc0); # +=ap[j]*bp[0];
- &movd (&DWP($frame-4,"esp",$j,4),$car1); # tp[j-1]=
-
+ &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"));
- &paddq ($car1,$car0);
- &movq (&DWP($frame-4,"esp",$num,4),$car1);
+ &pmuludq($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 (&DWP($frame,"esp",$num,4),$car1); # tp[num].tp[num-1]
+\f
&inc ($i); # i++
&set_label("outer");
&xor ($j,$j); # j=0
&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");
- &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,$acc0); # +=c0
+ &paddq ($car1,$acc1); # +=c1
+
&movq ($acc0,$car0);
+ &movd ($temp,&DWP($frame+4,"esp",$j,4));# tp[j+1]
&pand ($acc0,$mask);
-
- &paddq ($car1,$acc1); # +=c1
+ &movd ($acc1,&DWP(4,$np,$j,4)); # np[j+1]
&paddq ($car1,$acc0); # +=ap[j]*bp[i]+tp[j]
- &movd (&DWP($frame-4,"esp",$j,4),$car1); # tp[j-1]=
-
+ &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,$j)); # j++
- &cmp ($j,$num);
- &jl (&label("inner"));
+ &jnz (&label("inner"));
+
+ &mov ($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,"esp",$num,4));
+ &movd ($temp,&DWP($frame+4,"esp",$num,4)); # += tp[num]
&paddq ($car1,$car0);
&paddq ($car1,$temp);
- &movq (&DWP($frame-4,"esp",$num,4),$car1);
+ &movq (&DWP($frame,"esp",$num,4),$car1); # tp[num].tp[num-1]
&lea ($i,&DWP(1,$i)); # i++
&cmp ($i,$num);
- &jl (&label("outer"));
+ &jle (&label("outer"));
&emms (); # done with mmx bank
&jmp (&label("common_tail"));
&set_label("non_sse2",16);
}
-
-if (1) {
+\f
+if (0) {
&mov ("esp",$_sp);
&xor ("eax","eax"); # signal "not fast enough [yet]"
&jmp (&label("just_leave"));
- # The code below gives ~15% improvement on 512-bit benchmark
- # *only*:-( On all other key lengths it's slower for up to 20%.
- # This is because the original code path holds down the overall
- # amount of multiplications by ~25% by deploying bn_sqr_words.
- # In other words, for the code below to be competitive,
- # dedicated squaring procedure is a must...
+ # While the below code provides competitive performance for
+ # all key lengthes on modern cores, it's still a tad slower
+ # for >=2048-bits keys on *elder* CPUs:-( "Competitive" means
+ # compared to the original integer-only assembler. 512-bit
+ # RSA sign is better by >=30%, but that's about all one can
+ # say about all CPUs...
} else {
$inp="esi"; # integer path uses these registers differently
$word="edi";
$carry="ebp";
- &sub ($num,1); # non-SSE2 path uses num-1
-
&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 ($_bpend,"eax");
- &xor ($j,$j);
+ &mov ("eax",&DWP(0,$inp));
&xor ("edx","edx");
&set_label("mull",16);
- &mov ("eax",&DWP(0,$inp,$j,4)); # ap[j]
&mov ($carry,"edx");
&mul ($word); # ap[j]*bp[0]
+ &add ($carry,"eax");
&lea ($j,&DWP(1,$j));
- &add ("eax",$carry);
&adc ("edx",0);
- &mov (&DWP($frame-4,"esp",$j,4),"eax"); # tp[j]=
+ &mov ("eax",&DWP(0,$inp,$j,4)); # ap[j+1]
&cmp ($j,$num);
- &jb (&label("mull"));
+ &mov (&DWP($frame-4,"esp",$j,4),$carry); # tp[j]=
+ &jl (&label("mull"));
- &mov ("eax",&DWP(0,$inp,$num,4)); # ap[num-1]
&mov ($carry,"edx");
&mul ($word); # ap[num-1]*bp[0]
+ &mov ($word,$_n0);
&add ("eax",$carry);
+ &mov ($inp,$_np);
&adc ("edx",0);
-
- &mov ($word,$_n0);
- &mov ($inp,$_np);
- &imul ($word,&DWP($frame,"esp")); # n0*tp[0]
+ &imul ($word,&DWP($frame,"esp")); # n0*tp[0]
&mov (&DWP($frame,"esp",$num,4),"eax"); # tp[num-1]=
&xor ($j,$j);
&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);
- &mov ($j,1);
+ &inc ($j);
&jmp (&label("2ndmadd"));
-
+\f\f
&set_label("1stmadd",16);
- &mov ("eax",&DWP(0,$inp,$j,4)); # ap[j]
&mov ($carry,"edx");
&mul ($word); # ap[j]*bp[i]
+ &add ($carry,&DWP($frame,"esp",$j,4)); # +=tp[j]
&lea ($j,&DWP(1,$j));
- &add ("eax",&DWP($frame-4,"esp",$j,4)); # +=tp[j]
&adc ("edx",0);
- &add ("eax",$carry);
+ &add ($carry,"eax");
+ &mov ("eax",&DWP(0,$inp,$j,4)); # ap[j+1]
&adc ("edx",0);
- &mov (&DWP($frame-4,"esp",$j,4),"eax"); # tp[j]=
&cmp ($j,$num);
- &jb (&label("1stmadd"));
+ &mov (&DWP($frame-4,"esp",$j,4),$carry); # tp[j]=
+ &jl (&label("1stmadd"));
- &mov ("eax",&DWP(0,$inp,$num,4)); # ap[num-1]
&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);
- &add ("eax",$carry);
+ &mov ($inp,$_np);
+ &add ($carry,"eax");
&adc ("edx",0);
-
- &mov ($word,$_n0);
- &mov ($inp,$_np);
- &imul ($word,&DWP($frame,"esp")); # n0*tp[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),"eax"); # tp[num-1]=
+ &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]=
- &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);
&mov ($j,1);
-
+\f
&set_label("2ndmadd",16);
- &mov ("eax",&DWP(0,$inp,$j,4)); # np[j]
&mov ($carry,"edx");
&mul ($word); # np[j]*m
+ &add ($carry,&DWP($frame,"esp",$j,4)); # +=tp[j]
&lea ($j,&DWP(1,$j));
- &add ("eax",&DWP($frame-4,"esp",$j,4)); # +=tp[j]
&adc ("edx",0);
- &add ("eax",$carry);
+ &add ($carry,"eax");
+ &mov ("eax",&DWP(0,$inp,$j,4)); # np[j+1]
&adc ("edx",0);
- &mov (&DWP($frame-8,"esp",$j,4),"eax"); # tp[j-1]=
&cmp ($j,$num);
- &jb (&label("2ndmadd"));
+ &mov (&DWP($frame-8,"esp",$j,4),$carry); # tp[j-1]=
+ &jl (&label("2ndmadd"));
- &mov ("eax",&DWP(0,$inp,$num,4)); # np[num-1]
&mov ($carry,"edx");
- &mul ($word); # np[num-1]*m
- &add ("eax",&DWP($frame,"esp",$num,4)); # +=tp[num-1]
+ &mul ($word); # np[j]*m
+ &add ($carry,&DWP($frame,"esp",$j,4)); # +=tp[j]
&adc ("edx",0);
- &add ("eax",$carry);
+ &add ($carry,"eax");
&adc ("edx",0);
- &mov (&DWP($frame-4,"esp",$num,4),"eax"); # tp[num-2]=
+ &mov (&DWP($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]=
-
- &mov ($carry,$_bp); # &bp[i]
- &add ($carry,4);
- &cmp ($carry,$_bpend);
&je (&label("x86done"));
- &mov ($word,&DWP(0,$carry)); # bp[i]
+
+ &mov ($word,&DWP(0,$j)); # bp[i]
&mov ($inp,$_ap);
- &mov ($_bp,$carry); # &bp[++i]
+ &mov ($_bp,$j); # &bp[++i]
&xor ($j,$j);
&xor ("edx","edx");
+ &mov ("eax",&DWP(0,$inp));
&jmp (&label("1stmadd"));
+\f
+&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);
+\f\f
+&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",$num,4),"eax"); # tp[num]=
+ &je (&label("x86done"));
+\f
+ &mov ($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"));
-&set_label("x86done",16);
+ &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",$carry);
+ &lea ($j,&DWP(1,$j));
+ &adc ("edx",0);
+ &lea ($carry,&DWP(0,$sbit,"eax",2));
+ &shr ("eax",31);
+ &add ($carry,&DWP($frame-4,"esp",$j,4)); # +=tp[j]
+ &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"));
+\f
+&set_label("x86done",4);
&mov ($np,$_np); # make adjustments for tail processing
- &add ($num,1);
}
&set_label("common_tail",16);
- &mov ("esi",&DWP($frame,"esp",$num,4));# load upmost overflow bit
+ &mov ("esi",&DWP($frame+4,"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,$num)); # j=num-1
+ &mov ($j,$num); # j=num-1
&cmp ("esi",0); # clears CF unconditionally
&jnz (&label("sub"));
&mov ("eax",&DWP($frame,"esp",$j,4));
&lea ($i,&DWP(1,$i)); # i++
&dec ($j); # doesn't affect CF!
&jge (&label("sub"));
- &lea ($j,&DWP(-1,$num)); # j=num-1
+ &mov ($j,$num); # j=num-1
&sbb ("esi",0); # esi holds upmost overflow bit
&jc (&label("copy"));
&set_label("zap",16);
&set_label("just_leave");
&function_end("bn_mul_mont");
+&asciz("Montgomery Multiplication for x86, CRYPTOGAMS by <appro\@openssl.org>");
+
&asm_finish();
projects / openssl.git / blobdiff