2 # Copyright 2005-2016 The OpenSSL Project Authors. All Rights Reserved.
4 # Licensed under the OpenSSL license (the "License"). You may not use
5 # this file except in compliance with the License. You can obtain a copy
6 # in the file LICENSE in the source distribution or at
7 # https://www.openssl.org/source/license.html
10 # ====================================================================
11 # Written by Andy Polyakov <appro@openssl.org> for the OpenSSL
12 # project. The module is, however, dual licensed under OpenSSL and
13 # CRYPTOGAMS licenses depending on where you obtain it. For further
14 # details see http://www.openssl.org/~appro/cryptogams/.
15 # ====================================================================
19 # Montgomery multiplication routine for x86_64. While it gives modest
20 # 9% improvement of rsa4096 sign on Opteron, rsa512 sign runs more
21 # than twice, >2x, as fast. Most common rsa1024 sign is improved by
22 # respectful 50%. It remains to be seen if loop unrolling and
23 # dedicated squaring routine can provide further improvement...
27 # Add dedicated squaring procedure. Performance improvement varies
28 # from platform to platform, but in average it's ~5%/15%/25%/33%
29 # for 512-/1024-/2048-/4096-bit RSA *sign* benchmarks respectively.
33 # Unroll and modulo-schedule inner loops in such manner that they
34 # are "fallen through" for input lengths of 8, which is critical for
35 # 1024-bit RSA *sign*. Average performance improvement in comparison
36 # to *initial* version of this module from 2005 is ~0%/30%/40%/45%
37 # for 512-/1024-/2048-/4096-bit RSA *sign* benchmarks respectively.
41 # Optimize reduction in squaring procedure and improve 1024+-bit RSA
42 # sign performance by 10-16% on Intel Sandy Bridge and later
43 # (virtually same on non-Intel processors).
47 # Add MULX/ADOX/ADCX code path.
51 if ($flavour =~ /\./) { $output = $flavour; undef $flavour; }
53 $win64=0; $win64=1 if ($flavour =~ /[nm]asm|mingw64/ || $output =~ /\.asm$/);
55 $0 =~ m/(.*[\/\\])[^\
/\\]+$/; $dir=$1;
56 ( $xlate="${dir}x86_64-xlate.pl" and -f
$xlate ) or
57 ( $xlate="${dir}../../perlasm/x86_64-xlate.pl" and -f
$xlate) or
58 die "can't locate x86_64-xlate.pl";
60 open OUT
,"| \"$^X\" \"$xlate\" $flavour \"$output\"";
63 if (`$ENV{CC} -Wa,-v -c -o /dev/null -x assembler /dev/null 2>&1`
64 =~ /GNU assembler version ([2-9]\.[0-9]+)/) {
68 if (!$addx && $win64 && ($flavour =~ /nasm/ || $ENV{ASM
} =~ /nasm/) &&
69 `nasm -v 2>&1` =~ /NASM version ([2-9]\.[0-9]+)/) {
73 if (!$addx && $win64 && ($flavour =~ /masm/ || $ENV{ASM
} =~ /ml64/) &&
74 `ml64 2>&1` =~ /Version ([0-9]+)\./) {
78 if (!$addx && `$ENV{CC} -v 2>&1` =~ /((?:^clang|LLVM) version|.*based on LLVM) ([3-9])\.([0-9]+)/) {
79 my $ver = $2 + $3/100.0; # 3.1->3.01, 3.10->3.10
84 $rp="%rdi"; # BN_ULONG *rp,
85 $ap="%rsi"; # const BN_ULONG *ap,
86 $bp="%rdx"; # const BN_ULONG *bp,
87 $np="%rcx"; # const BN_ULONG *np,
88 $n0="%r8"; # const BN_ULONG *n0,
89 $num="%r9"; # int num);
101 .extern OPENSSL_ia32cap_P
104 .type bn_mul_mont
,\
@function,6
112 $code.=<<___
if ($addx);
113 mov OPENSSL_ia32cap_P
+8(%rip),%r11d
135 lea
(%rsp,%r10,8),%rsp # tp=alloca(8*(num+2))
136 and \
$-1024,%rsp # minimize TLB usage
138 mov
%r11,8(%rsp,$num,8) # tp[num+1]=%rsp
140 # An OS-agnostic version of __chkstk.
142 # Some OSes (Windows) insist on stack being "wired" to
143 # physical memory in strictly sequential manner, i.e. if stack
144 # allocation spans two pages, then reference to farmost one can
145 # be punishable by SEGV. But page walking can do good even on
146 # other OSes, because it guarantees that villain thread hits
147 # the guard page before it can make damage to innocent one...
153 .byte
0x66,0x2e # predict non-taken
156 mov
$bp,%r12 # reassign $bp
160 mov
($n0),$n0 # pull n0[0] value
161 mov
($bp),$m0 # m0=bp[0]
168 mulq
$m0 # ap[0]*bp[0]
172 imulq
$lo0,$m1 # "tp[0]"*n0
176 add
%rax,$lo0 # discarded
189 add
$hi0,$hi1 # np[j]*m1+ap[j]*bp[0]
192 mov
$hi1,-16(%rsp,$j,8) # tp[j-1]
196 mulq
$m0 # ap[j]*bp[0]
208 mov
($ap),%rax # ap[0]
210 add
$hi0,$hi1 # np[j]*m1+ap[j]*bp[0]
212 mov
$hi1,-16(%rsp,$j,8) # tp[j-1]
219 mov
$hi1,-8(%rsp,$num,8)
220 mov
%rdx,(%rsp,$num,8) # store upmost overflow bit
226 mov
($bp,$i,8),$m0 # m0=bp[i]
230 mulq
$m0 # ap[0]*bp[i]
231 add
%rax,$lo0 # ap[0]*bp[i]+tp[0]
235 imulq
$lo0,$m1 # tp[0]*n0
239 add
%rax,$lo0 # discarded
242 mov
8(%rsp),$lo0 # tp[1]
253 add
$lo0,$hi1 # np[j]*m1+ap[j]*bp[i]+tp[j]
256 mov
$hi1,-16(%rsp,$j,8) # tp[j-1]
260 mulq
$m0 # ap[j]*bp[i]
264 add
$hi0,$lo0 # ap[j]*bp[i]+tp[j]
274 mov
($ap),%rax # ap[0]
276 add
$lo0,$hi1 # np[j]*m1+ap[j]*bp[i]+tp[j]
279 mov
$hi1,-16(%rsp,$j,8) # tp[j-1]
285 add
$lo0,$hi1 # pull upmost overflow bit
287 mov
$hi1,-8(%rsp,$num,8)
288 mov
%rdx,(%rsp,$num,8) # store upmost overflow bit
294 xor $i,$i # i=0 and clear CF!
295 mov
(%rsp),%rax # tp[0]
296 lea
(%rsp),$ap # borrow ap for tp
300 .Lsub
: sbb
($np,$i,8),%rax
301 mov
%rax,($rp,$i,8) # rp[i]=tp[i]-np[i]
302 mov
8($ap,$i,8),%rax # tp[i+1]
304 dec
$j # doesnn't affect CF!
307 sbb \
$0,%rax # handle upmost overflow bit
314 or $np,$ap # ap=borrow?tp:rp
316 .Lcopy
: # copy or in-place refresh
318 mov
$i,(%rsp,$i,8) # zap temporary vector
319 mov
%rax,($rp,$i,8) # rp[i]=tp[i]
324 mov
8(%rsp,$num,8),%rsi # restore %rsp
335 .size bn_mul_mont
,.-bn_mul_mont
338 my @A=("%r10","%r11");
339 my @N=("%r13","%rdi");
341 .type bn_mul4x_mont
,\
@function,6
346 $code.=<<___
if ($addx);
363 lea
(%rsp,%r10,8),%rsp # tp=alloca(8*(num+4))
364 and \
$-1024,%rsp # minimize TLB usage
366 mov
%r11,8(%rsp,$num,8) # tp[num+1]=%rsp
373 .byte
0x2e # predict non-taken
374 jnc
.Lmul4x_page_walk
376 mov
$rp,16(%rsp,$num,8) # tp[num+2]=$rp
377 mov
%rdx,%r12 # reassign $bp
381 mov
($n0),$n0 # pull n0[0] value
382 mov
($bp),$m0 # m0=bp[0]
389 mulq
$m0 # ap[0]*bp[0]
393 imulq
$A[0],$m1 # "tp[0]"*n0
397 add
%rax,$A[0] # discarded
420 mulq
$m0 # ap[j]*bp[0]
422 mov
-16($np,$j,8),%rax
428 mov
-8($ap,$j,8),%rax
430 add
$A[0],$N[0] # np[j]*m1+ap[j]*bp[0]
432 mov
$N[0],-24(%rsp,$j,8) # tp[j-1]
435 mulq
$m0 # ap[j]*bp[0]
437 mov
-8($np,$j,8),%rax
445 add
$A[1],$N[1] # np[j]*m1+ap[j]*bp[0]
447 mov
$N[1],-16(%rsp,$j,8) # tp[j-1]
450 mulq
$m0 # ap[j]*bp[0]
460 add
$A[0],$N[0] # np[j]*m1+ap[j]*bp[0]
462 mov
$N[0],-8(%rsp,$j,8) # tp[j-1]
465 mulq
$m0 # ap[j]*bp[0]
474 mov
-16($ap,$j,8),%rax
476 add
$A[1],$N[1] # np[j]*m1+ap[j]*bp[0]
478 mov
$N[1],-32(%rsp,$j,8) # tp[j-1]
483 mulq
$m0 # ap[j]*bp[0]
485 mov
-16($np,$j,8),%rax
491 mov
-8($ap,$j,8),%rax
493 add
$A[0],$N[0] # np[j]*m1+ap[j]*bp[0]
495 mov
$N[0],-24(%rsp,$j,8) # tp[j-1]
498 mulq
$m0 # ap[j]*bp[0]
500 mov
-8($np,$j,8),%rax
506 mov
($ap),%rax # ap[0]
508 add
$A[1],$N[1] # np[j]*m1+ap[j]*bp[0]
510 mov
$N[1],-16(%rsp,$j,8) # tp[j-1]
516 mov
$N[0],-8(%rsp,$j,8)
517 mov
$N[1],(%rsp,$j,8) # store upmost overflow bit
522 mov
($bp,$i,8),$m0 # m0=bp[i]
526 mulq
$m0 # ap[0]*bp[i]
527 add
%rax,$A[0] # ap[0]*bp[i]+tp[0]
531 imulq
$A[0],$m1 # tp[0]*n0
535 add
%rax,$A[0] # "$N[0]", discarded
540 mulq
$m0 # ap[j]*bp[i]
544 add
8(%rsp),$A[1] # +tp[1]
552 add
$A[1],$N[1] # np[j]*m1+ap[j]*bp[i]+tp[j]
555 mov
$N[1],(%rsp) # tp[j-1]
560 mulq
$m0 # ap[j]*bp[i]
562 mov
-16($np,$j,8),%rax
564 add
-16(%rsp,$j,8),$A[0] # ap[j]*bp[i]+tp[j]
570 mov
-8($ap,$j,8),%rax
574 mov
$N[0],-24(%rsp,$j,8) # tp[j-1]
577 mulq
$m0 # ap[j]*bp[i]
579 mov
-8($np,$j,8),%rax
581 add
-8(%rsp,$j,8),$A[1]
591 mov
$N[1],-16(%rsp,$j,8) # tp[j-1]
594 mulq
$m0 # ap[j]*bp[i]
598 add
(%rsp,$j,8),$A[0] # ap[j]*bp[i]+tp[j]
608 mov
$N[0],-8(%rsp,$j,8) # tp[j-1]
611 mulq
$m0 # ap[j]*bp[i]
615 add
8(%rsp,$j,8),$A[1]
622 mov
-16($ap,$j,8),%rax
626 mov
$N[1],-32(%rsp,$j,8) # tp[j-1]
631 mulq
$m0 # ap[j]*bp[i]
633 mov
-16($np,$j,8),%rax
635 add
-16(%rsp,$j,8),$A[0] # ap[j]*bp[i]+tp[j]
641 mov
-8($ap,$j,8),%rax
645 mov
$N[0],-24(%rsp,$j,8) # tp[j-1]
648 mulq
$m0 # ap[j]*bp[i]
650 mov
-8($np,$j,8),%rax
652 add
-8(%rsp,$j,8),$A[1]
659 mov
($ap),%rax # ap[0]
663 mov
$N[1],-16(%rsp,$j,8) # tp[j-1]
669 add
(%rsp,$num,8),$N[0] # pull upmost overflow bit
671 mov
$N[0],-8(%rsp,$j,8)
672 mov
$N[1],(%rsp,$j,8) # store upmost overflow bit
678 my @ri=("%rax","%rdx",$m0,$m1);
680 mov
16(%rsp,$num,8),$rp # restore $rp
681 mov
0(%rsp),@ri[0] # tp[0]
683 mov
8(%rsp),@ri[1] # tp[1]
684 shr \
$2,$num # num/=4
685 lea
(%rsp),$ap # borrow ap for tp
686 xor $i,$i # i=0 and clear CF!
689 mov
16($ap),@ri[2] # tp[2]
690 mov
24($ap),@ri[3] # tp[3]
692 lea
-1($num),$j # j=num/4-1
696 mov
@ri[0],0($rp,$i,8) # rp[i]=tp[i]-np[i]
697 mov
@ri[1],8($rp,$i,8) # rp[i]=tp[i]-np[i]
698 sbb
16($np,$i,8),@ri[2]
699 mov
32($ap,$i,8),@ri[0] # tp[i+1]
700 mov
40($ap,$i,8),@ri[1]
701 sbb
24($np,$i,8),@ri[3]
702 mov
@ri[2],16($rp,$i,8) # rp[i]=tp[i]-np[i]
703 mov
@ri[3],24($rp,$i,8) # rp[i]=tp[i]-np[i]
704 sbb
32($np,$i,8),@ri[0]
705 mov
48($ap,$i,8),@ri[2]
706 mov
56($ap,$i,8),@ri[3]
707 sbb
40($np,$i,8),@ri[1]
709 dec
$j # doesnn't affect CF!
712 mov
@ri[0],0($rp,$i,8) # rp[i]=tp[i]-np[i]
713 mov
32($ap,$i,8),@ri[0] # load overflow bit
714 sbb
16($np,$i,8),@ri[2]
715 mov
@ri[1],8($rp,$i,8) # rp[i]=tp[i]-np[i]
716 sbb
24($np,$i,8),@ri[3]
717 mov
@ri[2],16($rp,$i,8) # rp[i]=tp[i]-np[i]
719 sbb \
$0,@ri[0] # handle upmost overflow bit
720 mov
@ri[3],24($rp,$i,8) # rp[i]=tp[i]-np[i]
727 or $np,$ap # ap=borrow?tp:rp
734 .Lcopy4x
: # copy or in-place refresh
735 movdqu
16($ap,$i),%xmm2
736 movdqu
32($ap,$i),%xmm1
737 movdqa
%xmm0,16(%rsp,$i)
738 movdqu
%xmm2,16($rp,$i)
739 movdqa
%xmm0,32(%rsp,$i)
740 movdqu
%xmm1,32($rp,$i)
746 movdqu
16($ap,$i),%xmm2
747 movdqa
%xmm0,16(%rsp,$i)
748 movdqu
%xmm2,16($rp,$i)
752 mov
8(%rsp,$num,8),%rsi # restore %rsp
763 .size bn_mul4x_mont
,.-bn_mul4x_mont
767 ######################################################################
768 # void bn_sqr8x_mont(
769 my $rptr="%rdi"; # const BN_ULONG *rptr,
770 my $aptr="%rsi"; # const BN_ULONG *aptr,
771 my $bptr="%rdx"; # not used
772 my $nptr="%rcx"; # const BN_ULONG *nptr,
773 my $n0 ="%r8"; # const BN_ULONG *n0);
774 my $num ="%r9"; # int num, has to be divisible by 8
776 my ($i,$j,$tptr)=("%rbp","%rcx",$rptr);
777 my @A0=("%r10","%r11");
778 my @A1=("%r12","%r13");
779 my ($a0,$a1,$ai)=("%r14","%r15","%rbx");
781 $code.=<<___
if ($addx);
782 .extern bn_sqrx8x_internal
# see x86_64-mont5 module
785 .extern bn_sqr8x_internal
# see x86_64-mont5 module
787 .type bn_sqr8x_mont
,\
@function,6
800 shl \
$3,${num
}d
# convert $num to bytes
801 shl \
$3+2,%r10 # 4*$num
804 ##############################################################
805 # ensure that stack frame doesn't alias with $aptr modulo
806 # 4096. this is done to allow memory disambiguation logic
809 lea
-64(%rsp,$num,2),%r11
815 sub %r11,%rsp # align with $aptr
816 lea
-64(%rsp,$num,2),%rsp # alloca(frame+2*$num)
821 lea
4096-64(,$num,2),%r10 # 4096-frame-2*$num
822 lea
-64(%rsp,$num,2),%rsp # alloca(frame+2*$num)
835 .byte
0x2e # predict non-taken
836 jnc
.Lsqr8x_page_walk
842 mov
%rax, 40(%rsp) # save original %rsp
845 movq
$nptr, %xmm2 # save pointer to modulus
847 movq
$rptr,%xmm1 # save $rptr
848 movq
%r10, %xmm3 # -$num
850 $code.=<<___
if ($addx);
851 mov OPENSSL_ia32cap_P
+8(%rip),%eax
856 call bn_sqrx8x_internal
# see x86_64-mont5 module
857 # %rax top-most carry
860 # %r8 end of tp[2*num]
865 sar \
$3+2,%rcx # %cf=0
872 call bn_sqr8x_internal
# see x86_64-mont5 module
873 # %rax top-most carry
876 # %rdi end of tp[2*num]
881 sar \
$3+2,%rcx # %cf=0
901 inc
%rcx # preserves %cf
904 sbb \
$0,%rax # top-most carry
905 lea
(%rbx,$num),%rbx # rewind
906 lea
($rptr,$num),$rptr # rewind
910 pshufd \
$0,%xmm1,%xmm1
911 mov
40(%rsp),%rsi # restore %rsp
912 jmp
.Lsqr8x_cond_copy
916 movdqa
16*0(%rbx),%xmm2
917 movdqa
16*1(%rbx),%xmm3
919 movdqu
16*0($rptr),%xmm4
920 movdqu
16*1($rptr),%xmm5
921 lea
16*2($rptr),$rptr
922 movdqa
%xmm0,-16*2(%rbx) # zero tp
923 movdqa
%xmm0,-16*1(%rbx)
924 movdqa
%xmm0,-16*2(%rbx,%rdx)
925 movdqa
%xmm0,-16*1(%rbx,%rdx)
934 movdqu
%xmm4,-16*2($rptr)
935 movdqu
%xmm5,-16*1($rptr)
937 jnz
.Lsqr8x_cond_copy
949 .size bn_sqr8x_mont
,.-bn_sqr8x_mont
954 my $bp="%rdx"; # original value
957 .type bn_mulx4x_mont
,\
@function,6
969 shl \
$3,${num
}d
# convert $num to bytes
972 sub $num,%r10 # -$num
974 lea
-72(%rsp,%r10),%rsp # alloca(frame+$num+8)
982 .byte
0x66,0x2e # predict non-taken
983 jnc
.Lmulx4x_page_walk
986 ##############################################################
989 # +8 off-loaded &b[i]
998 mov
$num,0(%rsp) # save $num
1000 mov
%r10,16(%rsp) # end of b[num]
1002 mov
$n0, 24(%rsp) # save *n0
1003 mov
$rp, 32(%rsp) # save $rp
1004 mov
%rax,40(%rsp) # save original %rsp
1005 mov
$num,48(%rsp) # inner counter
1011 my ($aptr, $bptr, $nptr, $tptr, $mi, $bi, $zero, $num)=
1012 ("%rsi","%rdi","%rcx","%rbx","%r8","%r9","%rbp","%rax");
1016 mov
($bp),%rdx # b[0], $bp==%rdx actually
1017 lea
64+32(%rsp),$tptr
1020 mulx
0*8($aptr),$mi,%rax # a[0]*b[0]
1021 mulx
1*8($aptr),%r11,%r14 # a[1]*b[0]
1023 mov
$bptr,8(%rsp) # off-load &b[i]
1024 mulx
2*8($aptr),%r12,%r13 # ...
1028 mov
$mi,$bptr # borrow $bptr
1029 imulq
24(%rsp),$mi # "t[0]"*n0
1030 xor $zero,$zero # cf=0, of=0
1032 mulx
3*8($aptr),%rax,%r14
1034 lea
4*8($aptr),$aptr
1036 adcx
$zero,%r14 # cf=0
1038 mulx
0*8($nptr),%rax,%r10
1039 adcx
%rax,$bptr # discarded
1041 mulx
1*8($nptr),%rax,%r11
1044 .byte
0xc4,0x62,0xfb,0xf6,0xa1,0x10,0x00,0x00,0x00 # mulx 2*8($nptr),%rax,%r12
1045 mov
48(%rsp),$bptr # counter value
1046 mov
%r10,-4*8($tptr)
1049 mulx
3*8($nptr),%rax,%r15
1051 mov
%r11,-3*8($tptr)
1053 adox
$zero,%r15 # of=0
1054 lea
4*8($nptr),$nptr
1055 mov
%r12,-2*8($tptr)
1061 adcx
$zero,%r15 # cf=0, modulo-scheduled
1062 mulx
0*8($aptr),%r10,%rax # a[4]*b[0]
1064 mulx
1*8($aptr),%r11,%r14 # a[5]*b[0]
1066 mulx
2*8($aptr),%r12,%rax # ...
1068 mulx
3*8($aptr),%r13,%r14
1072 adcx
$zero,%r14 # cf=0
1073 lea
4*8($aptr),$aptr
1074 lea
4*8($tptr),$tptr
1077 mulx
0*8($nptr),%rax,%r15
1080 mulx
1*8($nptr),%rax,%r15
1083 mulx
2*8($nptr),%rax,%r15
1084 mov
%r10,-5*8($tptr)
1086 mov
%r11,-4*8($tptr)
1088 mulx
3*8($nptr),%rax,%r15
1090 mov
%r12,-3*8($tptr)
1093 lea
4*8($nptr),$nptr
1094 mov
%r13,-2*8($tptr)
1096 dec
$bptr # of=0, pass cf
1099 mov
0(%rsp),$num # load num
1100 mov
8(%rsp),$bptr # re-load &b[i]
1101 adc
$zero,%r15 # modulo-scheduled
1103 sbb
%r15,%r15 # top-most carry
1104 mov
%r14,-1*8($tptr)
1109 mov
($bptr),%rdx # b[i]
1110 lea
8($bptr),$bptr # b++
1111 sub $num,$aptr # rewind $aptr
1112 mov
%r15,($tptr) # save top-most carry
1113 lea
64+4*8(%rsp),$tptr
1114 sub $num,$nptr # rewind $nptr
1116 mulx
0*8($aptr),$mi,%r11 # a[0]*b[i]
1117 xor %ebp,%ebp # xor $zero,$zero # cf=0, of=0
1119 mulx
1*8($aptr),%r14,%r12 # a[1]*b[i]
1120 adox
-4*8($tptr),$mi
1122 mulx
2*8($aptr),%r15,%r13 # ...
1123 adox
-3*8($tptr),%r11
1128 mov
$bptr,8(%rsp) # off-load &b[i]
1131 imulq
24(%rsp),$mi # "t[0]"*n0
1132 xor %ebp,%ebp # xor $zero,$zero # cf=0, of=0
1134 mulx
3*8($aptr),%rax,%r14
1136 adox
-2*8($tptr),%r12
1138 adox
-1*8($tptr),%r13
1140 lea
4*8($aptr),$aptr
1143 mulx
0*8($nptr),%rax,%r10
1144 adcx
%rax,%r15 # discarded
1146 mulx
1*8($nptr),%rax,%r11
1149 mulx
2*8($nptr),%rax,%r12
1150 mov
%r10,-4*8($tptr)
1153 mulx
3*8($nptr),%rax,%r15
1155 mov
%r11,-3*8($tptr)
1156 lea
4*8($nptr),$nptr
1158 adox
$zero,%r15 # of=0
1159 mov
48(%rsp),$bptr # counter value
1160 mov
%r12,-2*8($tptr)
1166 mulx
0*8($aptr),%r10,%rax # a[4]*b[i]
1167 adcx
$zero,%r15 # cf=0, modulo-scheduled
1169 mulx
1*8($aptr),%r11,%r14 # a[5]*b[i]
1170 adcx
0*8($tptr),%r10
1172 mulx
2*8($aptr),%r12,%rax # ...
1173 adcx
1*8($tptr),%r11
1175 mulx
3*8($aptr),%r13,%r14
1177 adcx
2*8($tptr),%r12
1179 adcx
3*8($tptr),%r13
1180 adox
$zero,%r14 # of=0
1181 lea
4*8($aptr),$aptr
1182 lea
4*8($tptr),$tptr
1183 adcx
$zero,%r14 # cf=0
1186 mulx
0*8($nptr),%rax,%r15
1189 mulx
1*8($nptr),%rax,%r15
1192 mulx
2*8($nptr),%rax,%r15
1193 mov
%r10,-5*8($tptr)
1196 mulx
3*8($nptr),%rax,%r15
1198 mov
%r11,-4*8($tptr)
1199 mov
%r12,-3*8($tptr)
1202 lea
4*8($nptr),$nptr
1203 mov
%r13,-2*8($tptr)
1205 dec
$bptr # of=0, pass cf
1208 mov
0(%rsp),$num # load num
1209 mov
8(%rsp),$bptr # re-load &b[i]
1210 adc
$zero,%r15 # modulo-scheduled
1211 sub 0*8($tptr),$zero # pull top-most carry
1213 sbb
%r15,%r15 # top-most carry
1214 mov
%r14,-1*8($tptr)
1220 sub $num,$nptr # rewind $nptr
1223 shr \
$3+2,$num # %cf=0
1224 mov
32(%rsp),$rptr # restore rp
1233 lea
8*4($tptr),$tptr
1238 lea
8*4($nptr),$nptr
1243 lea
8*4($rptr),$rptr
1244 dec
$num # preserves %cf
1247 sbb \
$0,%r15 # top-most carry
1249 sub %rdx,$rptr # rewind
1253 pshufd \
$0,%xmm1,%xmm1
1254 mov
40(%rsp),%rsi # restore %rsp
1255 jmp
.Lmulx4x_cond_copy
1259 movdqa
16*0($tptr),%xmm2
1260 movdqa
16*1($tptr),%xmm3
1261 lea
16*2($tptr),$tptr
1262 movdqu
16*0($rptr),%xmm4
1263 movdqu
16*1($rptr),%xmm5
1264 lea
16*2($rptr),$rptr
1265 movdqa
%xmm0,-16*2($tptr) # zero tp
1266 movdqa
%xmm0,-16*1($tptr)
1275 movdqu
%xmm4,-16*2($rptr)
1276 movdqu
%xmm5,-16*1($rptr)
1278 jnz
.Lmulx4x_cond_copy
1292 .size bn_mulx4x_mont
,.-bn_mulx4x_mont
1296 .asciz
"Montgomery Multiplication for x86_64, CRYPTOGAMS by <appro\@openssl.org>"
1300 # EXCEPTION_DISPOSITION handler (EXCEPTION_RECORD *rec,ULONG64 frame,
1301 # CONTEXT *context,DISPATCHER_CONTEXT *disp)
1309 .extern __imp_RtlVirtualUnwind
1310 .type mul_handler
,\
@abi-omnipotent
1324 mov
120($context),%rax # pull context->Rax
1325 mov
248($context),%rbx # pull context->Rip
1327 mov
8($disp),%rsi # disp->ImageBase
1328 mov
56($disp),%r11 # disp->HandlerData
1330 mov
0(%r11),%r10d # HandlerData[0]
1331 lea
(%rsi,%r10),%r10 # end of prologue label
1332 cmp %r10,%rbx # context->Rip<end of prologue label
1333 jb
.Lcommon_seh_tail
1335 mov
152($context),%rax # pull context->Rsp
1337 mov
4(%r11),%r10d # HandlerData[1]
1338 lea
(%rsi,%r10),%r10 # epilogue label
1339 cmp %r10,%rbx # context->Rip>=epilogue label
1340 jae
.Lcommon_seh_tail
1342 mov
192($context),%r10 # pull $num
1343 mov
8(%rax,%r10,8),%rax # pull saved stack pointer
1352 mov
%rbx,144($context) # restore context->Rbx
1353 mov
%rbp,160($context) # restore context->Rbp
1354 mov
%r12,216($context) # restore context->R12
1355 mov
%r13,224($context) # restore context->R13
1356 mov
%r14,232($context) # restore context->R14
1357 mov
%r15,240($context) # restore context->R15
1359 jmp
.Lcommon_seh_tail
1360 .size mul_handler
,.-mul_handler
1362 .type sqr_handler
,\
@abi-omnipotent
1376 mov
120($context),%rax # pull context->Rax
1377 mov
248($context),%rbx # pull context->Rip
1379 mov
8($disp),%rsi # disp->ImageBase
1380 mov
56($disp),%r11 # disp->HandlerData
1382 mov
0(%r11),%r10d # HandlerData[0]
1383 lea
(%rsi,%r10),%r10 # end of prologue label
1384 cmp %r10,%rbx # context->Rip<.Lsqr_body
1385 jb
.Lcommon_seh_tail
1387 mov
152($context),%rax # pull context->Rsp
1389 mov
4(%r11),%r10d # HandlerData[1]
1390 lea
(%rsi,%r10),%r10 # epilogue label
1391 cmp %r10,%rbx # context->Rip>=.Lsqr_epilogue
1392 jae
.Lcommon_seh_tail
1394 mov
40(%rax),%rax # pull saved stack pointer
1402 mov
%rbx,144($context) # restore context->Rbx
1403 mov
%rbp,160($context) # restore context->Rbp
1404 mov
%r12,216($context) # restore context->R12
1405 mov
%r13,224($context) # restore context->R13
1406 mov
%r14,232($context) # restore context->R14
1407 mov
%r15,240($context) # restore context->R15
1412 mov
%rax,152($context) # restore context->Rsp
1413 mov
%rsi,168($context) # restore context->Rsi
1414 mov
%rdi,176($context) # restore context->Rdi
1416 mov
40($disp),%rdi # disp->ContextRecord
1417 mov
$context,%rsi # context
1418 mov \
$154,%ecx # sizeof(CONTEXT)
1419 .long
0xa548f3fc # cld; rep movsq
1422 xor %rcx,%rcx # arg1, UNW_FLAG_NHANDLER
1423 mov
8(%rsi),%rdx # arg2, disp->ImageBase
1424 mov
0(%rsi),%r8 # arg3, disp->ControlPc
1425 mov
16(%rsi),%r9 # arg4, disp->FunctionEntry
1426 mov
40(%rsi),%r10 # disp->ContextRecord
1427 lea
56(%rsi),%r11 # &disp->HandlerData
1428 lea
24(%rsi),%r12 # &disp->EstablisherFrame
1429 mov
%r10,32(%rsp) # arg5
1430 mov
%r11,40(%rsp) # arg6
1431 mov
%r12,48(%rsp) # arg7
1432 mov
%rcx,56(%rsp) # arg8, (NULL)
1433 call
*__imp_RtlVirtualUnwind
(%rip)
1435 mov \
$1,%eax # ExceptionContinueSearch
1447 .size sqr_handler
,.-sqr_handler
1451 .rva
.LSEH_begin_bn_mul_mont
1452 .rva
.LSEH_end_bn_mul_mont
1453 .rva
.LSEH_info_bn_mul_mont
1455 .rva
.LSEH_begin_bn_mul4x_mont
1456 .rva
.LSEH_end_bn_mul4x_mont
1457 .rva
.LSEH_info_bn_mul4x_mont
1459 .rva
.LSEH_begin_bn_sqr8x_mont
1460 .rva
.LSEH_end_bn_sqr8x_mont
1461 .rva
.LSEH_info_bn_sqr8x_mont
1463 $code.=<<___
if ($addx);
1464 .rva
.LSEH_begin_bn_mulx4x_mont
1465 .rva
.LSEH_end_bn_mulx4x_mont
1466 .rva
.LSEH_info_bn_mulx4x_mont
1471 .LSEH_info_bn_mul_mont
:
1474 .rva
.Lmul_body
,.Lmul_epilogue
# HandlerData[]
1475 .LSEH_info_bn_mul4x_mont
:
1478 .rva
.Lmul4x_body
,.Lmul4x_epilogue
# HandlerData[]
1479 .LSEH_info_bn_sqr8x_mont
:
1482 .rva
.Lsqr8x_body
,.Lsqr8x_epilogue
# HandlerData[]
1484 $code.=<<___
if ($addx);
1485 .LSEH_info_bn_mulx4x_mont
:
1488 .rva
.Lmulx4x_body
,.Lmulx4x_epilogue
# HandlerData[]