2014-06-20 20:00:00 +01:00
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#!/usr/bin/env perl
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# ====================================================================
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# Written by Andy Polyakov <appro@openssl.org> for the OpenSSL
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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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#
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# Montgomery multiplication routine for x86_64. While it gives modest
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# 9% improvement of rsa4096 sign on Opteron, rsa512 sign runs more
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# than twice, >2x, as fast. Most common rsa1024 sign is improved by
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# respectful 50%. It remains to be seen if loop unrolling and
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# dedicated squaring routine can provide further improvement...
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# July 2011.
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#
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# Add dedicated squaring procedure. Performance improvement varies
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# from platform to platform, but in average it's ~5%/15%/25%/33%
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# for 512-/1024-/2048-/4096-bit RSA *sign* benchmarks respectively.
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# August 2011.
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#
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# Unroll and modulo-schedule inner loops in such manner that they
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# are "fallen through" for input lengths of 8, which is critical for
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# 1024-bit RSA *sign*. Average performance improvement in comparison
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# to *initial* version of this module from 2005 is ~0%/30%/40%/45%
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# for 512-/1024-/2048-/4096-bit RSA *sign* benchmarks respectively.
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# June 2013.
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#
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# Optimize reduction in squaring procedure and improve 1024+-bit RSA
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# sign performance by 10-16% on Intel Sandy Bridge and later
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# (virtually same on non-Intel processors).
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# August 2013.
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#
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# Add MULX/ADOX/ADCX code path.
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$flavour = shift;
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$output = shift;
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if ($flavour =~ /\./) { $output = $flavour; undef $flavour; }
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$win64=0; $win64=1 if ($flavour =~ /[nm]asm|mingw64/ || $output =~ /\.asm$/);
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$0 =~ m/(.*[\/\\])[^\/\\]+$/; $dir=$1;
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( $xlate="${dir}x86_64-xlate.pl" and -f $xlate ) or
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( $xlate="${dir}../../perlasm/x86_64-xlate.pl" and -f $xlate) or
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die "can't locate x86_64-xlate.pl";
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open OUT,"| \"$^X\" $xlate $flavour $output";
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*STDOUT=*OUT;
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if (`$ENV{CC} -Wa,-v -c -o /dev/null -x assembler /dev/null 2>&1`
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=~ /GNU assembler version ([2-9]\.[0-9]+)/) {
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$addx = ($1>=2.23);
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}
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if (!$addx && $win64 && ($flavour =~ /nasm/ || $ENV{ASM} =~ /nasm/) &&
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`nasm -v 2>&1` =~ /NASM version ([2-9]\.[0-9]+)/) {
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$addx = ($1>=2.10);
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}
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if (!$addx && $win64 && ($flavour =~ /masm/ || $ENV{ASM} =~ /ml64/) &&
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`ml64 2>&1` =~ /Version ([0-9]+)\./) {
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2014-07-25 02:10:23 +01:00
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$addx = ($1>=12);
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2014-06-20 20:00:00 +01:00
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}
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# int bn_mul_mont(
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$rp="%rdi"; # BN_ULONG *rp,
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$ap="%rsi"; # const BN_ULONG *ap,
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$bp="%rdx"; # const BN_ULONG *bp,
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$np="%rcx"; # const BN_ULONG *np,
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$n0="%r8"; # const BN_ULONG *n0,
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$num="%r9"; # int num);
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$lo0="%r10";
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$hi0="%r11";
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$hi1="%r13";
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$i="%r14";
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$j="%r15";
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$m0="%rbx";
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$m1="%rbp";
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$code=<<___;
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.text
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.extern OPENSSL_ia32cap_P
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.globl bn_mul_mont
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.type bn_mul_mont,\@function,6
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.align 16
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bn_mul_mont:
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test \$3,${num}d
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jnz .Lmul_enter
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cmp \$8,${num}d
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jb .Lmul_enter
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___
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$code.=<<___ if ($addx);
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mov OPENSSL_ia32cap_P+8(%rip),%r11d
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___
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$code.=<<___;
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cmp $ap,$bp
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jne .Lmul4x_enter
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test \$7,${num}d
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jz .Lsqr8x_enter
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jmp .Lmul4x_enter
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.align 16
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.Lmul_enter:
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push %rbx
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push %rbp
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push %r12
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push %r13
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push %r14
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push %r15
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mov ${num}d,${num}d
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lea 2($num),%r10
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mov %rsp,%r11
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neg %r10
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lea (%rsp,%r10,8),%rsp # tp=alloca(8*(num+2))
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and \$-1024,%rsp # minimize TLB usage
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mov %r11,8(%rsp,$num,8) # tp[num+1]=%rsp
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.Lmul_body:
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mov $bp,%r12 # reassign $bp
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___
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$bp="%r12";
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$code.=<<___;
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mov ($n0),$n0 # pull n0[0] value
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mov ($bp),$m0 # m0=bp[0]
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mov ($ap),%rax
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xor $i,$i # i=0
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xor $j,$j # j=0
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mov $n0,$m1
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mulq $m0 # ap[0]*bp[0]
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mov %rax,$lo0
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mov ($np),%rax
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imulq $lo0,$m1 # "tp[0]"*n0
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mov %rdx,$hi0
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mulq $m1 # np[0]*m1
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add %rax,$lo0 # discarded
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mov 8($ap),%rax
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adc \$0,%rdx
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mov %rdx,$hi1
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lea 1($j),$j # j++
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jmp .L1st_enter
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.align 16
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.L1st:
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add %rax,$hi1
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mov ($ap,$j,8),%rax
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adc \$0,%rdx
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add $hi0,$hi1 # np[j]*m1+ap[j]*bp[0]
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mov $lo0,$hi0
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adc \$0,%rdx
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mov $hi1,-16(%rsp,$j,8) # tp[j-1]
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mov %rdx,$hi1
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.L1st_enter:
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mulq $m0 # ap[j]*bp[0]
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add %rax,$hi0
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mov ($np,$j,8),%rax
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adc \$0,%rdx
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lea 1($j),$j # j++
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mov %rdx,$lo0
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mulq $m1 # np[j]*m1
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cmp $num,$j
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jne .L1st
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add %rax,$hi1
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mov ($ap),%rax # ap[0]
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adc \$0,%rdx
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add $hi0,$hi1 # np[j]*m1+ap[j]*bp[0]
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adc \$0,%rdx
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mov $hi1,-16(%rsp,$j,8) # tp[j-1]
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mov %rdx,$hi1
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mov $lo0,$hi0
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xor %rdx,%rdx
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add $hi0,$hi1
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adc \$0,%rdx
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mov $hi1,-8(%rsp,$num,8)
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mov %rdx,(%rsp,$num,8) # store upmost overflow bit
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lea 1($i),$i # i++
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jmp .Louter
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.align 16
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.Louter:
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mov ($bp,$i,8),$m0 # m0=bp[i]
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xor $j,$j # j=0
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mov $n0,$m1
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mov (%rsp),$lo0
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mulq $m0 # ap[0]*bp[i]
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add %rax,$lo0 # ap[0]*bp[i]+tp[0]
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mov ($np),%rax
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adc \$0,%rdx
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imulq $lo0,$m1 # tp[0]*n0
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mov %rdx,$hi0
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mulq $m1 # np[0]*m1
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add %rax,$lo0 # discarded
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mov 8($ap),%rax
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adc \$0,%rdx
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mov 8(%rsp),$lo0 # tp[1]
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mov %rdx,$hi1
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lea 1($j),$j # j++
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jmp .Linner_enter
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.align 16
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.Linner:
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add %rax,$hi1
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mov ($ap,$j,8),%rax
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adc \$0,%rdx
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add $lo0,$hi1 # np[j]*m1+ap[j]*bp[i]+tp[j]
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mov (%rsp,$j,8),$lo0
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adc \$0,%rdx
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mov $hi1,-16(%rsp,$j,8) # tp[j-1]
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mov %rdx,$hi1
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.Linner_enter:
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mulq $m0 # ap[j]*bp[i]
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add %rax,$hi0
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mov ($np,$j,8),%rax
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adc \$0,%rdx
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add $hi0,$lo0 # ap[j]*bp[i]+tp[j]
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mov %rdx,$hi0
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adc \$0,$hi0
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lea 1($j),$j # j++
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mulq $m1 # np[j]*m1
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cmp $num,$j
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jne .Linner
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add %rax,$hi1
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mov ($ap),%rax # ap[0]
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adc \$0,%rdx
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add $lo0,$hi1 # np[j]*m1+ap[j]*bp[i]+tp[j]
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mov (%rsp,$j,8),$lo0
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adc \$0,%rdx
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mov $hi1,-16(%rsp,$j,8) # tp[j-1]
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mov %rdx,$hi1
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xor %rdx,%rdx
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add $hi0,$hi1
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adc \$0,%rdx
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add $lo0,$hi1 # pull upmost overflow bit
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adc \$0,%rdx
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mov $hi1,-8(%rsp,$num,8)
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mov %rdx,(%rsp,$num,8) # store upmost overflow bit
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lea 1($i),$i # i++
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cmp $num,$i
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jb .Louter
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xor $i,$i # i=0 and clear CF!
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mov (%rsp),%rax # tp[0]
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lea (%rsp),$ap # borrow ap for tp
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mov $num,$j # j=num
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jmp .Lsub
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.align 16
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.Lsub: sbb ($np,$i,8),%rax
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mov %rax,($rp,$i,8) # rp[i]=tp[i]-np[i]
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mov 8($ap,$i,8),%rax # tp[i+1]
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lea 1($i),$i # i++
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2014-06-20 20:00:00 +01:00
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dec $j # doesn't affect CF!
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2014-06-20 20:00:00 +01:00
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jnz .Lsub
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sbb \$0,%rax # handle upmost overflow bit
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xor $i,$i
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mov $num,$j # j=num
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.align 16
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.Lcopy: # copy or in-place refresh
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2014-06-20 20:00:00 +01:00
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mov (%rsp,$i,8),$ap
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mov ($rp,$i,8),$np
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xor $np,$ap # conditional select:
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and %rax,$ap # ((ap ^ np) & %rax) ^ np
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xor $np,$ap # ap = borrow?tp:rp
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2014-06-20 20:00:00 +01:00
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mov $i,(%rsp,$i,8) # zap temporary vector
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2014-06-20 20:00:00 +01:00
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mov $ap,($rp,$i,8) # rp[i]=tp[i]
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2014-06-20 20:00:00 +01:00
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lea 1($i),$i
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sub \$1,$j
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jnz .Lcopy
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mov 8(%rsp,$num,8),%rsi # restore %rsp
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mov \$1,%rax
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mov (%rsi),%r15
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mov 8(%rsi),%r14
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mov 16(%rsi),%r13
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mov 24(%rsi),%r12
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mov 32(%rsi),%rbp
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mov 40(%rsi),%rbx
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lea 48(%rsi),%rsp
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.Lmul_epilogue:
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ret
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.size bn_mul_mont,.-bn_mul_mont
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___
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{{{
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my @A=("%r10","%r11");
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my @N=("%r13","%rdi");
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$code.=<<___;
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.type bn_mul4x_mont,\@function,6
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.align 16
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bn_mul4x_mont:
|
|
|
|
|
.Lmul4x_enter:
|
|
|
|
|
___
|
|
|
|
|
$code.=<<___ if ($addx);
|
|
|
|
|
and \$0x80100,%r11d
|
|
|
|
|
cmp \$0x80100,%r11d
|
|
|
|
|
je .Lmulx4x_enter
|
|
|
|
|
___
|
|
|
|
|
$code.=<<___;
|
|
|
|
|
push %rbx
|
|
|
|
|
push %rbp
|
|
|
|
|
push %r12
|
|
|
|
|
push %r13
|
|
|
|
|
push %r14
|
|
|
|
|
push %r15
|
|
|
|
|
|
|
|
|
|
mov ${num}d,${num}d
|
|
|
|
|
lea 4($num),%r10
|
|
|
|
|
mov %rsp,%r11
|
|
|
|
|
neg %r10
|
|
|
|
|
lea (%rsp,%r10,8),%rsp # tp=alloca(8*(num+4))
|
|
|
|
|
and \$-1024,%rsp # minimize TLB usage
|
|
|
|
|
|
|
|
|
|
mov %r11,8(%rsp,$num,8) # tp[num+1]=%rsp
|
|
|
|
|
.Lmul4x_body:
|
|
|
|
|
mov $rp,16(%rsp,$num,8) # tp[num+2]=$rp
|
|
|
|
|
mov %rdx,%r12 # reassign $bp
|
|
|
|
|
___
|
|
|
|
|
$bp="%r12";
|
|
|
|
|
$code.=<<___;
|
|
|
|
|
mov ($n0),$n0 # pull n0[0] value
|
|
|
|
|
mov ($bp),$m0 # m0=bp[0]
|
|
|
|
|
mov ($ap),%rax
|
|
|
|
|
|
|
|
|
|
xor $i,$i # i=0
|
|
|
|
|
xor $j,$j # j=0
|
|
|
|
|
|
|
|
|
|
mov $n0,$m1
|
|
|
|
|
mulq $m0 # ap[0]*bp[0]
|
|
|
|
|
mov %rax,$A[0]
|
|
|
|
|
mov ($np),%rax
|
|
|
|
|
|
|
|
|
|
imulq $A[0],$m1 # "tp[0]"*n0
|
|
|
|
|
mov %rdx,$A[1]
|
|
|
|
|
|
|
|
|
|
mulq $m1 # np[0]*m1
|
|
|
|
|
add %rax,$A[0] # discarded
|
|
|
|
|
mov 8($ap),%rax
|
|
|
|
|
adc \$0,%rdx
|
|
|
|
|
mov %rdx,$N[1]
|
|
|
|
|
|
|
|
|
|
mulq $m0
|
|
|
|
|
add %rax,$A[1]
|
|
|
|
|
mov 8($np),%rax
|
|
|
|
|
adc \$0,%rdx
|
|
|
|
|
mov %rdx,$A[0]
|
|
|
|
|
|
|
|
|
|
mulq $m1
|
|
|
|
|
add %rax,$N[1]
|
|
|
|
|
mov 16($ap),%rax
|
|
|
|
|
adc \$0,%rdx
|
|
|
|
|
add $A[1],$N[1]
|
|
|
|
|
lea 4($j),$j # j++
|
|
|
|
|
adc \$0,%rdx
|
|
|
|
|
mov $N[1],(%rsp)
|
|
|
|
|
mov %rdx,$N[0]
|
|
|
|
|
jmp .L1st4x
|
|
|
|
|
.align 16
|
|
|
|
|
.L1st4x:
|
|
|
|
|
mulq $m0 # ap[j]*bp[0]
|
|
|
|
|
add %rax,$A[0]
|
|
|
|
|
mov -16($np,$j,8),%rax
|
|
|
|
|
adc \$0,%rdx
|
|
|
|
|
mov %rdx,$A[1]
|
|
|
|
|
|
|
|
|
|
mulq $m1 # np[j]*m1
|
|
|
|
|
add %rax,$N[0]
|
|
|
|
|
mov -8($ap,$j,8),%rax
|
|
|
|
|
adc \$0,%rdx
|
|
|
|
|
add $A[0],$N[0] # np[j]*m1+ap[j]*bp[0]
|
|
|
|
|
adc \$0,%rdx
|
|
|
|
|
mov $N[0],-24(%rsp,$j,8) # tp[j-1]
|
|
|
|
|
mov %rdx,$N[1]
|
|
|
|
|
|
|
|
|
|
mulq $m0 # ap[j]*bp[0]
|
|
|
|
|
add %rax,$A[1]
|
|
|
|
|
mov -8($np,$j,8),%rax
|
|
|
|
|
adc \$0,%rdx
|
|
|
|
|
mov %rdx,$A[0]
|
|
|
|
|
|
|
|
|
|
mulq $m1 # np[j]*m1
|
|
|
|
|
add %rax,$N[1]
|
|
|
|
|
mov ($ap,$j,8),%rax
|
|
|
|
|
adc \$0,%rdx
|
|
|
|
|
add $A[1],$N[1] # np[j]*m1+ap[j]*bp[0]
|
|
|
|
|
adc \$0,%rdx
|
|
|
|
|
mov $N[1],-16(%rsp,$j,8) # tp[j-1]
|
|
|
|
|
mov %rdx,$N[0]
|
|
|
|
|
|
|
|
|
|
mulq $m0 # ap[j]*bp[0]
|
|
|
|
|
add %rax,$A[0]
|
|
|
|
|
mov ($np,$j,8),%rax
|
|
|
|
|
adc \$0,%rdx
|
|
|
|
|
mov %rdx,$A[1]
|
|
|
|
|
|
|
|
|
|
mulq $m1 # np[j]*m1
|
|
|
|
|
add %rax,$N[0]
|
|
|
|
|
mov 8($ap,$j,8),%rax
|
|
|
|
|
adc \$0,%rdx
|
|
|
|
|
add $A[0],$N[0] # np[j]*m1+ap[j]*bp[0]
|
|
|
|
|
adc \$0,%rdx
|
|
|
|
|
mov $N[0],-8(%rsp,$j,8) # tp[j-1]
|
|
|
|
|
mov %rdx,$N[1]
|
|
|
|
|
|
|
|
|
|
mulq $m0 # ap[j]*bp[0]
|
|
|
|
|
add %rax,$A[1]
|
|
|
|
|
mov 8($np,$j,8),%rax
|
|
|
|
|
adc \$0,%rdx
|
|
|
|
|
lea 4($j),$j # j++
|
|
|
|
|
mov %rdx,$A[0]
|
|
|
|
|
|
|
|
|
|
mulq $m1 # np[j]*m1
|
|
|
|
|
add %rax,$N[1]
|
|
|
|
|
mov -16($ap,$j,8),%rax
|
|
|
|
|
adc \$0,%rdx
|
|
|
|
|
add $A[1],$N[1] # np[j]*m1+ap[j]*bp[0]
|
|
|
|
|
adc \$0,%rdx
|
|
|
|
|
mov $N[1],-32(%rsp,$j,8) # tp[j-1]
|
|
|
|
|
mov %rdx,$N[0]
|
|
|
|
|
cmp $num,$j
|
|
|
|
|
jb .L1st4x
|
|
|
|
|
|
|
|
|
|
mulq $m0 # ap[j]*bp[0]
|
|
|
|
|
add %rax,$A[0]
|
|
|
|
|
mov -16($np,$j,8),%rax
|
|
|
|
|
adc \$0,%rdx
|
|
|
|
|
mov %rdx,$A[1]
|
|
|
|
|
|
|
|
|
|
mulq $m1 # np[j]*m1
|
|
|
|
|
add %rax,$N[0]
|
|
|
|
|
mov -8($ap,$j,8),%rax
|
|
|
|
|
adc \$0,%rdx
|
|
|
|
|
add $A[0],$N[0] # np[j]*m1+ap[j]*bp[0]
|
|
|
|
|
adc \$0,%rdx
|
|
|
|
|
mov $N[0],-24(%rsp,$j,8) # tp[j-1]
|
|
|
|
|
mov %rdx,$N[1]
|
|
|
|
|
|
|
|
|
|
mulq $m0 # ap[j]*bp[0]
|
|
|
|
|
add %rax,$A[1]
|
|
|
|
|
mov -8($np,$j,8),%rax
|
|
|
|
|
adc \$0,%rdx
|
|
|
|
|
mov %rdx,$A[0]
|
|
|
|
|
|
|
|
|
|
mulq $m1 # np[j]*m1
|
|
|
|
|
add %rax,$N[1]
|
|
|
|
|
mov ($ap),%rax # ap[0]
|
|
|
|
|
adc \$0,%rdx
|
|
|
|
|
add $A[1],$N[1] # np[j]*m1+ap[j]*bp[0]
|
|
|
|
|
adc \$0,%rdx
|
|
|
|
|
mov $N[1],-16(%rsp,$j,8) # tp[j-1]
|
|
|
|
|
mov %rdx,$N[0]
|
|
|
|
|
|
|
|
|
|
xor $N[1],$N[1]
|
|
|
|
|
add $A[0],$N[0]
|
|
|
|
|
adc \$0,$N[1]
|
|
|
|
|
mov $N[0],-8(%rsp,$j,8)
|
|
|
|
|
mov $N[1],(%rsp,$j,8) # store upmost overflow bit
|
|
|
|
|
|
|
|
|
|
lea 1($i),$i # i++
|
|
|
|
|
.align 4
|
|
|
|
|
.Louter4x:
|
|
|
|
|
mov ($bp,$i,8),$m0 # m0=bp[i]
|
|
|
|
|
xor $j,$j # j=0
|
|
|
|
|
mov (%rsp),$A[0]
|
|
|
|
|
mov $n0,$m1
|
|
|
|
|
mulq $m0 # ap[0]*bp[i]
|
|
|
|
|
add %rax,$A[0] # ap[0]*bp[i]+tp[0]
|
|
|
|
|
mov ($np),%rax
|
|
|
|
|
adc \$0,%rdx
|
|
|
|
|
|
|
|
|
|
imulq $A[0],$m1 # tp[0]*n0
|
|
|
|
|
mov %rdx,$A[1]
|
|
|
|
|
|
|
|
|
|
mulq $m1 # np[0]*m1
|
|
|
|
|
add %rax,$A[0] # "$N[0]", discarded
|
|
|
|
|
mov 8($ap),%rax
|
|
|
|
|
adc \$0,%rdx
|
|
|
|
|
mov %rdx,$N[1]
|
|
|
|
|
|
|
|
|
|
mulq $m0 # ap[j]*bp[i]
|
|
|
|
|
add %rax,$A[1]
|
|
|
|
|
mov 8($np),%rax
|
|
|
|
|
adc \$0,%rdx
|
|
|
|
|
add 8(%rsp),$A[1] # +tp[1]
|
|
|
|
|
adc \$0,%rdx
|
|
|
|
|
mov %rdx,$A[0]
|
|
|
|
|
|
|
|
|
|
mulq $m1 # np[j]*m1
|
|
|
|
|
add %rax,$N[1]
|
|
|
|
|
mov 16($ap),%rax
|
|
|
|
|
adc \$0,%rdx
|
|
|
|
|
add $A[1],$N[1] # np[j]*m1+ap[j]*bp[i]+tp[j]
|
|
|
|
|
lea 4($j),$j # j+=2
|
|
|
|
|
adc \$0,%rdx
|
|
|
|
|
mov $N[1],(%rsp) # tp[j-1]
|
|
|
|
|
mov %rdx,$N[0]
|
|
|
|
|
jmp .Linner4x
|
|
|
|
|
.align 16
|
|
|
|
|
.Linner4x:
|
|
|
|
|
mulq $m0 # ap[j]*bp[i]
|
|
|
|
|
add %rax,$A[0]
|
|
|
|
|
mov -16($np,$j,8),%rax
|
|
|
|
|
adc \$0,%rdx
|
|
|
|
|
add -16(%rsp,$j,8),$A[0] # ap[j]*bp[i]+tp[j]
|
|
|
|
|
adc \$0,%rdx
|
|
|
|
|
mov %rdx,$A[1]
|
|
|
|
|
|
|
|
|
|
mulq $m1 # np[j]*m1
|
|
|
|
|
add %rax,$N[0]
|
|
|
|
|
mov -8($ap,$j,8),%rax
|
|
|
|
|
adc \$0,%rdx
|
|
|
|
|
add $A[0],$N[0]
|
|
|
|
|
adc \$0,%rdx
|
|
|
|
|
mov $N[0],-24(%rsp,$j,8) # tp[j-1]
|
|
|
|
|
mov %rdx,$N[1]
|
|
|
|
|
|
|
|
|
|
mulq $m0 # ap[j]*bp[i]
|
|
|
|
|
add %rax,$A[1]
|
|
|
|
|
mov -8($np,$j,8),%rax
|
|
|
|
|
adc \$0,%rdx
|
|
|
|
|
add -8(%rsp,$j,8),$A[1]
|
|
|
|
|
adc \$0,%rdx
|
|
|
|
|
mov %rdx,$A[0]
|
|
|
|
|
|
|
|
|
|
mulq $m1 # np[j]*m1
|
|
|
|
|
add %rax,$N[1]
|
|
|
|
|
mov ($ap,$j,8),%rax
|
|
|
|
|
adc \$0,%rdx
|
|
|
|
|
add $A[1],$N[1]
|
|
|
|
|
adc \$0,%rdx
|
|
|
|
|
mov $N[1],-16(%rsp,$j,8) # tp[j-1]
|
|
|
|
|
mov %rdx,$N[0]
|
|
|
|
|
|
|
|
|
|
mulq $m0 # ap[j]*bp[i]
|
|
|
|
|
add %rax,$A[0]
|
|
|
|
|
mov ($np,$j,8),%rax
|
|
|
|
|
adc \$0,%rdx
|
|
|
|
|
add (%rsp,$j,8),$A[0] # ap[j]*bp[i]+tp[j]
|
|
|
|
|
adc \$0,%rdx
|
|
|
|
|
mov %rdx,$A[1]
|
|
|
|
|
|
|
|
|
|
mulq $m1 # np[j]*m1
|
|
|
|
|
add %rax,$N[0]
|
|
|
|
|
mov 8($ap,$j,8),%rax
|
|
|
|
|
adc \$0,%rdx
|
|
|
|
|
add $A[0],$N[0]
|
|
|
|
|
adc \$0,%rdx
|
|
|
|
|
mov $N[0],-8(%rsp,$j,8) # tp[j-1]
|
|
|
|
|
mov %rdx,$N[1]
|
|
|
|
|
|
|
|
|
|
mulq $m0 # ap[j]*bp[i]
|
|
|
|
|
add %rax,$A[1]
|
|
|
|
|
mov 8($np,$j,8),%rax
|
|
|
|
|
adc \$0,%rdx
|
|
|
|
|
add 8(%rsp,$j,8),$A[1]
|
|
|
|
|
adc \$0,%rdx
|
|
|
|
|
lea 4($j),$j # j++
|
|
|
|
|
mov %rdx,$A[0]
|
|
|
|
|
|
|
|
|
|
mulq $m1 # np[j]*m1
|
|
|
|
|
add %rax,$N[1]
|
|
|
|
|
mov -16($ap,$j,8),%rax
|
|
|
|
|
adc \$0,%rdx
|
|
|
|
|
add $A[1],$N[1]
|
|
|
|
|
adc \$0,%rdx
|
|
|
|
|
mov $N[1],-32(%rsp,$j,8) # tp[j-1]
|
|
|
|
|
mov %rdx,$N[0]
|
|
|
|
|
cmp $num,$j
|
|
|
|
|
jb .Linner4x
|
|
|
|
|
|
|
|
|
|
mulq $m0 # ap[j]*bp[i]
|
|
|
|
|
add %rax,$A[0]
|
|
|
|
|
mov -16($np,$j,8),%rax
|
|
|
|
|
adc \$0,%rdx
|
|
|
|
|
add -16(%rsp,$j,8),$A[0] # ap[j]*bp[i]+tp[j]
|
|
|
|
|
adc \$0,%rdx
|
|
|
|
|
mov %rdx,$A[1]
|
|
|
|
|
|
|
|
|
|
mulq $m1 # np[j]*m1
|
|
|
|
|
add %rax,$N[0]
|
|
|
|
|
mov -8($ap,$j,8),%rax
|
|
|
|
|
adc \$0,%rdx
|
|
|
|
|
add $A[0],$N[0]
|
|
|
|
|
adc \$0,%rdx
|
|
|
|
|
mov $N[0],-24(%rsp,$j,8) # tp[j-1]
|
|
|
|
|
mov %rdx,$N[1]
|
|
|
|
|
|
|
|
|
|
mulq $m0 # ap[j]*bp[i]
|
|
|
|
|
add %rax,$A[1]
|
|
|
|
|
mov -8($np,$j,8),%rax
|
|
|
|
|
adc \$0,%rdx
|
|
|
|
|
add -8(%rsp,$j,8),$A[1]
|
|
|
|
|
adc \$0,%rdx
|
|
|
|
|
lea 1($i),$i # i++
|
|
|
|
|
mov %rdx,$A[0]
|
|
|
|
|
|
|
|
|
|
mulq $m1 # np[j]*m1
|
|
|
|
|
add %rax,$N[1]
|
|
|
|
|
mov ($ap),%rax # ap[0]
|
|
|
|
|
adc \$0,%rdx
|
|
|
|
|
add $A[1],$N[1]
|
|
|
|
|
adc \$0,%rdx
|
|
|
|
|
mov $N[1],-16(%rsp,$j,8) # tp[j-1]
|
|
|
|
|
mov %rdx,$N[0]
|
|
|
|
|
|
|
|
|
|
xor $N[1],$N[1]
|
|
|
|
|
add $A[0],$N[0]
|
|
|
|
|
adc \$0,$N[1]
|
|
|
|
|
add (%rsp,$num,8),$N[0] # pull upmost overflow bit
|
|
|
|
|
adc \$0,$N[1]
|
|
|
|
|
mov $N[0],-8(%rsp,$j,8)
|
|
|
|
|
mov $N[1],(%rsp,$j,8) # store upmost overflow bit
|
|
|
|
|
|
|
|
|
|
cmp $num,$i
|
|
|
|
|
jb .Louter4x
|
|
|
|
|
___
|
|
|
|
|
{
|
|
|
|
|
my @ri=("%rax","%rdx",$m0,$m1);
|
|
|
|
|
$code.=<<___;
|
|
|
|
|
mov 16(%rsp,$num,8),$rp # restore $rp
|
|
|
|
|
mov 0(%rsp),@ri[0] # tp[0]
|
|
|
|
|
mov 8(%rsp),@ri[1] # tp[1]
|
|
|
|
|
shr \$2,$num # num/=4
|
|
|
|
|
lea (%rsp),$ap # borrow ap for tp
|
|
|
|
|
xor $i,$i # i=0 and clear CF!
|
|
|
|
|
|
|
|
|
|
sub 0($np),@ri[0]
|
|
|
|
|
mov 16($ap),@ri[2] # tp[2]
|
|
|
|
|
mov 24($ap),@ri[3] # tp[3]
|
|
|
|
|
sbb 8($np),@ri[1]
|
|
|
|
|
lea -1($num),$j # j=num/4-1
|
|
|
|
|
jmp .Lsub4x
|
|
|
|
|
.align 16
|
|
|
|
|
.Lsub4x:
|
|
|
|
|
mov @ri[0],0($rp,$i,8) # rp[i]=tp[i]-np[i]
|
|
|
|
|
mov @ri[1],8($rp,$i,8) # rp[i]=tp[i]-np[i]
|
|
|
|
|
sbb 16($np,$i,8),@ri[2]
|
|
|
|
|
mov 32($ap,$i,8),@ri[0] # tp[i+1]
|
|
|
|
|
mov 40($ap,$i,8),@ri[1]
|
|
|
|
|
sbb 24($np,$i,8),@ri[3]
|
|
|
|
|
mov @ri[2],16($rp,$i,8) # rp[i]=tp[i]-np[i]
|
|
|
|
|
mov @ri[3],24($rp,$i,8) # rp[i]=tp[i]-np[i]
|
|
|
|
|
sbb 32($np,$i,8),@ri[0]
|
|
|
|
|
mov 48($ap,$i,8),@ri[2]
|
|
|
|
|
mov 56($ap,$i,8),@ri[3]
|
|
|
|
|
sbb 40($np,$i,8),@ri[1]
|
|
|
|
|
lea 4($i),$i # i++
|
|
|
|
|
dec $j # doesnn't affect CF!
|
|
|
|
|
jnz .Lsub4x
|
|
|
|
|
|
|
|
|
|
mov @ri[0],0($rp,$i,8) # rp[i]=tp[i]-np[i]
|
|
|
|
|
mov 32($ap,$i,8),@ri[0] # load overflow bit
|
|
|
|
|
sbb 16($np,$i,8),@ri[2]
|
|
|
|
|
mov @ri[1],8($rp,$i,8) # rp[i]=tp[i]-np[i]
|
|
|
|
|
sbb 24($np,$i,8),@ri[3]
|
|
|
|
|
mov @ri[2],16($rp,$i,8) # rp[i]=tp[i]-np[i]
|
|
|
|
|
|
|
|
|
|
sbb \$0,@ri[0] # handle upmost overflow bit
|
2014-06-20 20:00:00 +01:00
|
|
|
|
mov @ri[0],%xmm0
|
|
|
|
|
punpcklqdq %xmm0,%xmm0 # extend mask to 128 bits
|
2014-06-20 20:00:00 +01:00
|
|
|
|
mov @ri[3],24($rp,$i,8) # rp[i]=tp[i]-np[i]
|
|
|
|
|
xor $i,$i # i=0
|
2014-06-20 20:00:00 +01:00
|
|
|
|
|
|
|
|
|
mov $num,$j
|
|
|
|
|
pxor %xmm5,%xmm5
|
2014-06-20 20:00:00 +01:00
|
|
|
|
jmp .Lcopy4x
|
|
|
|
|
.align 16
|
2014-06-20 20:00:00 +01:00
|
|
|
|
.Lcopy4x: # copy or in-place refresh
|
|
|
|
|
movdqu (%rsp,$i),%xmm2
|
|
|
|
|
movdqu 16(%rsp,$i),%xmm4
|
|
|
|
|
movdqu ($rp,$i),%xmm1
|
|
|
|
|
movdqu 16($rp,$i),%xmm3
|
|
|
|
|
pxor %xmm1,%xmm2 # conditional select
|
|
|
|
|
pxor %xmm3,%xmm4
|
|
|
|
|
pand %xmm0,%xmm2
|
|
|
|
|
pand %xmm0,%xmm4
|
|
|
|
|
pxor %xmm1,%xmm2
|
|
|
|
|
pxor %xmm3,%xmm4
|
|
|
|
|
movdqu %xmm2,($rp,$i)
|
|
|
|
|
movdqu %xmm4,16($rp,$i)
|
|
|
|
|
movdqa %xmm5,(%rsp,$i) # zap temporary vectors
|
|
|
|
|
movdqa %xmm5,16(%rsp,$i)
|
|
|
|
|
|
2014-06-20 20:00:00 +01:00
|
|
|
|
lea 32($i),$i
|
|
|
|
|
dec $j
|
|
|
|
|
jnz .Lcopy4x
|
|
|
|
|
|
|
|
|
|
shl \$2,$num
|
|
|
|
|
___
|
|
|
|
|
}
|
|
|
|
|
$code.=<<___;
|
|
|
|
|
mov 8(%rsp,$num,8),%rsi # restore %rsp
|
|
|
|
|
mov \$1,%rax
|
|
|
|
|
mov (%rsi),%r15
|
|
|
|
|
mov 8(%rsi),%r14
|
|
|
|
|
mov 16(%rsi),%r13
|
|
|
|
|
mov 24(%rsi),%r12
|
|
|
|
|
mov 32(%rsi),%rbp
|
|
|
|
|
mov 40(%rsi),%rbx
|
|
|
|
|
lea 48(%rsi),%rsp
|
|
|
|
|
.Lmul4x_epilogue:
|
|
|
|
|
ret
|
|
|
|
|
.size bn_mul4x_mont,.-bn_mul4x_mont
|
|
|
|
|
___
|
|
|
|
|
}}}
|
|
|
|
|
{{{
|
|
|
|
|
######################################################################
|
|
|
|
|
# void bn_sqr8x_mont(
|
|
|
|
|
my $rptr="%rdi"; # const BN_ULONG *rptr,
|
|
|
|
|
my $aptr="%rsi"; # const BN_ULONG *aptr,
|
|
|
|
|
my $bptr="%rdx"; # not used
|
|
|
|
|
my $nptr="%rcx"; # const BN_ULONG *nptr,
|
|
|
|
|
my $n0 ="%r8"; # const BN_ULONG *n0);
|
|
|
|
|
my $num ="%r9"; # int num, has to be divisible by 8
|
|
|
|
|
|
|
|
|
|
my ($i,$j,$tptr)=("%rbp","%rcx",$rptr);
|
|
|
|
|
my @A0=("%r10","%r11");
|
|
|
|
|
my @A1=("%r12","%r13");
|
|
|
|
|
my ($a0,$a1,$ai)=("%r14","%r15","%rbx");
|
|
|
|
|
|
2014-07-25 02:10:23 +01:00
|
|
|
|
$code.=<<___ if ($addx);
|
|
|
|
|
.extern bn_sqrx8x_internal # see x86_64-mont5 module
|
|
|
|
|
___
|
2014-06-20 20:00:00 +01:00
|
|
|
|
$code.=<<___;
|
|
|
|
|
.extern bn_sqr8x_internal # see x86_64-mont5 module
|
|
|
|
|
|
|
|
|
|
.type bn_sqr8x_mont,\@function,6
|
|
|
|
|
.align 32
|
|
|
|
|
bn_sqr8x_mont:
|
|
|
|
|
.Lsqr8x_enter:
|
|
|
|
|
mov %rsp,%rax
|
|
|
|
|
push %rbx
|
|
|
|
|
push %rbp
|
|
|
|
|
push %r12
|
|
|
|
|
push %r13
|
|
|
|
|
push %r14
|
|
|
|
|
push %r15
|
|
|
|
|
|
|
|
|
|
mov ${num}d,%r10d
|
|
|
|
|
shl \$3,${num}d # convert $num to bytes
|
|
|
|
|
shl \$3+2,%r10 # 4*$num
|
|
|
|
|
neg $num
|
|
|
|
|
|
|
|
|
|
##############################################################
|
|
|
|
|
# ensure that stack frame doesn't alias with $aptr modulo
|
|
|
|
|
# 4096. this is done to allow memory disambiguation logic
|
|
|
|
|
# do its job.
|
|
|
|
|
#
|
|
|
|
|
lea -64(%rsp,$num,4),%r11
|
|
|
|
|
mov ($n0),$n0 # *n0
|
|
|
|
|
sub $aptr,%r11
|
|
|
|
|
and \$4095,%r11
|
|
|
|
|
cmp %r11,%r10
|
|
|
|
|
jb .Lsqr8x_sp_alt
|
|
|
|
|
sub %r11,%rsp # align with $aptr
|
|
|
|
|
lea -64(%rsp,$num,4),%rsp # alloca(frame+4*$num)
|
|
|
|
|
jmp .Lsqr8x_sp_done
|
|
|
|
|
|
|
|
|
|
.align 32
|
|
|
|
|
.Lsqr8x_sp_alt:
|
|
|
|
|
lea 4096-64(,$num,4),%r10 # 4096-frame-4*$num
|
|
|
|
|
lea -64(%rsp,$num,4),%rsp # alloca(frame+4*$num)
|
|
|
|
|
sub %r10,%r11
|
|
|
|
|
mov \$0,%r10
|
|
|
|
|
cmovc %r10,%r11
|
|
|
|
|
sub %r11,%rsp
|
|
|
|
|
.Lsqr8x_sp_done:
|
|
|
|
|
and \$-64,%rsp
|
|
|
|
|
mov $num,%r10
|
|
|
|
|
neg $num
|
|
|
|
|
|
|
|
|
|
lea 64(%rsp,$num,2),%r11 # copy of modulus
|
|
|
|
|
mov $n0, 32(%rsp)
|
|
|
|
|
mov %rax, 40(%rsp) # save original %rsp
|
|
|
|
|
.Lsqr8x_body:
|
|
|
|
|
|
|
|
|
|
mov $num,$i
|
|
|
|
|
movq %r11, %xmm2 # save pointer to modulus copy
|
|
|
|
|
shr \$3+2,$i
|
|
|
|
|
mov OPENSSL_ia32cap_P+8(%rip),%eax
|
|
|
|
|
jmp .Lsqr8x_copy_n
|
|
|
|
|
|
|
|
|
|
.align 32
|
|
|
|
|
.Lsqr8x_copy_n:
|
|
|
|
|
movq 8*0($nptr),%xmm0
|
|
|
|
|
movq 8*1($nptr),%xmm1
|
|
|
|
|
movq 8*2($nptr),%xmm3
|
|
|
|
|
movq 8*3($nptr),%xmm4
|
|
|
|
|
lea 8*4($nptr),$nptr
|
|
|
|
|
movdqa %xmm0,16*0(%r11)
|
|
|
|
|
movdqa %xmm1,16*1(%r11)
|
|
|
|
|
movdqa %xmm3,16*2(%r11)
|
|
|
|
|
movdqa %xmm4,16*3(%r11)
|
|
|
|
|
lea 16*4(%r11),%r11
|
|
|
|
|
dec $i
|
|
|
|
|
jnz .Lsqr8x_copy_n
|
|
|
|
|
|
|
|
|
|
pxor %xmm0,%xmm0
|
|
|
|
|
movq $rptr,%xmm1 # save $rptr
|
|
|
|
|
movq %r10, %xmm3 # -$num
|
|
|
|
|
___
|
|
|
|
|
$code.=<<___ if ($addx);
|
|
|
|
|
and \$0x80100,%eax
|
|
|
|
|
cmp \$0x80100,%eax
|
|
|
|
|
jne .Lsqr8x_nox
|
|
|
|
|
|
|
|
|
|
call bn_sqrx8x_internal # see x86_64-mont5 module
|
|
|
|
|
|
|
|
|
|
pxor %xmm0,%xmm0
|
|
|
|
|
lea 48(%rsp),%rax
|
|
|
|
|
lea 64(%rsp,$num,2),%rdx
|
|
|
|
|
shr \$3+2,$num
|
|
|
|
|
mov 40(%rsp),%rsi # restore %rsp
|
|
|
|
|
jmp .Lsqr8x_zero
|
|
|
|
|
|
|
|
|
|
.align 32
|
|
|
|
|
.Lsqr8x_nox:
|
|
|
|
|
___
|
|
|
|
|
$code.=<<___;
|
|
|
|
|
call bn_sqr8x_internal # see x86_64-mont5 module
|
|
|
|
|
|
|
|
|
|
pxor %xmm0,%xmm0
|
|
|
|
|
lea 48(%rsp),%rax
|
|
|
|
|
lea 64(%rsp,$num,2),%rdx
|
|
|
|
|
shr \$3+2,$num
|
|
|
|
|
mov 40(%rsp),%rsi # restore %rsp
|
|
|
|
|
jmp .Lsqr8x_zero
|
|
|
|
|
|
|
|
|
|
.align 32
|
|
|
|
|
.Lsqr8x_zero:
|
|
|
|
|
movdqa %xmm0,16*0(%rax) # wipe t
|
|
|
|
|
movdqa %xmm0,16*1(%rax)
|
|
|
|
|
movdqa %xmm0,16*2(%rax)
|
|
|
|
|
movdqa %xmm0,16*3(%rax)
|
|
|
|
|
lea 16*4(%rax),%rax
|
|
|
|
|
movdqa %xmm0,16*0(%rdx) # wipe n
|
|
|
|
|
movdqa %xmm0,16*1(%rdx)
|
|
|
|
|
movdqa %xmm0,16*2(%rdx)
|
|
|
|
|
movdqa %xmm0,16*3(%rdx)
|
|
|
|
|
lea 16*4(%rdx),%rdx
|
|
|
|
|
dec $num
|
|
|
|
|
jnz .Lsqr8x_zero
|
|
|
|
|
|
|
|
|
|
mov \$1,%rax
|
|
|
|
|
mov -48(%rsi),%r15
|
|
|
|
|
mov -40(%rsi),%r14
|
|
|
|
|
mov -32(%rsi),%r13
|
|
|
|
|
mov -24(%rsi),%r12
|
|
|
|
|
mov -16(%rsi),%rbp
|
|
|
|
|
mov -8(%rsi),%rbx
|
|
|
|
|
lea (%rsi),%rsp
|
|
|
|
|
.Lsqr8x_epilogue:
|
|
|
|
|
ret
|
|
|
|
|
.size bn_sqr8x_mont,.-bn_sqr8x_mont
|
|
|
|
|
___
|
|
|
|
|
}}}
|
|
|
|
|
|
|
|
|
|
if ($addx) {{{
|
|
|
|
|
my $bp="%rdx"; # original value
|
|
|
|
|
|
|
|
|
|
$code.=<<___;
|
|
|
|
|
.type bn_mulx4x_mont,\@function,6
|
|
|
|
|
.align 32
|
|
|
|
|
bn_mulx4x_mont:
|
|
|
|
|
.Lmulx4x_enter:
|
|
|
|
|
mov %rsp,%rax
|
|
|
|
|
push %rbx
|
|
|
|
|
push %rbp
|
|
|
|
|
push %r12
|
|
|
|
|
push %r13
|
|
|
|
|
push %r14
|
|
|
|
|
push %r15
|
|
|
|
|
|
|
|
|
|
shl \$3,${num}d # convert $num to bytes
|
|
|
|
|
.byte 0x67
|
|
|
|
|
xor %r10,%r10
|
|
|
|
|
sub $num,%r10 # -$num
|
|
|
|
|
mov ($n0),$n0 # *n0
|
|
|
|
|
lea -72(%rsp,%r10),%rsp # alloca(frame+$num+8)
|
|
|
|
|
lea ($bp,$num),%r10
|
|
|
|
|
and \$-128,%rsp
|
|
|
|
|
##############################################################
|
|
|
|
|
# Stack layout
|
|
|
|
|
# +0 num
|
|
|
|
|
# +8 off-loaded &b[i]
|
|
|
|
|
# +16 end of b[num]
|
|
|
|
|
# +24 saved n0
|
|
|
|
|
# +32 saved rp
|
|
|
|
|
# +40 saved %rsp
|
|
|
|
|
# +48 inner counter
|
|
|
|
|
# +56
|
|
|
|
|
# +64 tmp[num+1]
|
|
|
|
|
#
|
|
|
|
|
mov $num,0(%rsp) # save $num
|
|
|
|
|
shr \$5,$num
|
|
|
|
|
mov %r10,16(%rsp) # end of b[num]
|
|
|
|
|
sub \$1,$num
|
|
|
|
|
mov $n0, 24(%rsp) # save *n0
|
|
|
|
|
mov $rp, 32(%rsp) # save $rp
|
|
|
|
|
mov %rax,40(%rsp) # save original %rsp
|
|
|
|
|
mov $num,48(%rsp) # inner counter
|
|
|
|
|
jmp .Lmulx4x_body
|
|
|
|
|
|
|
|
|
|
.align 32
|
|
|
|
|
.Lmulx4x_body:
|
|
|
|
|
___
|
|
|
|
|
my ($aptr, $bptr, $nptr, $tptr, $mi, $bi, $zero, $num)=
|
|
|
|
|
("%rsi","%rdi","%rcx","%rbx","%r8","%r9","%rbp","%rax");
|
|
|
|
|
my $rptr=$bptr;
|
|
|
|
|
$code.=<<___;
|
|
|
|
|
lea 8($bp),$bptr
|
|
|
|
|
mov ($bp),%rdx # b[0], $bp==%rdx actually
|
|
|
|
|
lea 64+32(%rsp),$tptr
|
|
|
|
|
mov %rdx,$bi
|
|
|
|
|
|
|
|
|
|
mulx 0*8($aptr),$mi,%rax # a[0]*b[0]
|
|
|
|
|
mulx 1*8($aptr),%r11,%r14 # a[1]*b[0]
|
|
|
|
|
add %rax,%r11
|
|
|
|
|
mov $bptr,8(%rsp) # off-load &b[i]
|
|
|
|
|
mulx 2*8($aptr),%r12,%r13 # ...
|
|
|
|
|
adc %r14,%r12
|
|
|
|
|
adc \$0,%r13
|
|
|
|
|
|
|
|
|
|
mov $mi,$bptr # borrow $bptr
|
|
|
|
|
imulq 24(%rsp),$mi # "t[0]"*n0
|
|
|
|
|
xor $zero,$zero # cf=0, of=0
|
|
|
|
|
|
|
|
|
|
mulx 3*8($aptr),%rax,%r14
|
|
|
|
|
mov $mi,%rdx
|
|
|
|
|
lea 4*8($aptr),$aptr
|
|
|
|
|
adcx %rax,%r13
|
|
|
|
|
adcx $zero,%r14 # cf=0
|
|
|
|
|
|
|
|
|
|
mulx 0*8($nptr),%rax,%r10
|
|
|
|
|
adcx %rax,$bptr # discarded
|
|
|
|
|
adox %r11,%r10
|
|
|
|
|
mulx 1*8($nptr),%rax,%r11
|
|
|
|
|
adcx %rax,%r10
|
|
|
|
|
adox %r12,%r11
|
|
|
|
|
.byte 0xc4,0x62,0xfb,0xf6,0xa1,0x10,0x00,0x00,0x00 # mulx 2*8($nptr),%rax,%r12
|
|
|
|
|
mov 48(%rsp),$bptr # counter value
|
|
|
|
|
mov %r10,-4*8($tptr)
|
|
|
|
|
adcx %rax,%r11
|
|
|
|
|
adox %r13,%r12
|
|
|
|
|
mulx 3*8($nptr),%rax,%r15
|
|
|
|
|
mov $bi,%rdx
|
|
|
|
|
mov %r11,-3*8($tptr)
|
|
|
|
|
adcx %rax,%r12
|
|
|
|
|
adox $zero,%r15 # of=0
|
|
|
|
|
lea 4*8($nptr),$nptr
|
|
|
|
|
mov %r12,-2*8($tptr)
|
|
|
|
|
|
|
|
|
|
jmp .Lmulx4x_1st
|
|
|
|
|
|
|
|
|
|
.align 32
|
|
|
|
|
.Lmulx4x_1st:
|
|
|
|
|
adcx $zero,%r15 # cf=0, modulo-scheduled
|
|
|
|
|
mulx 0*8($aptr),%r10,%rax # a[4]*b[0]
|
|
|
|
|
adcx %r14,%r10
|
|
|
|
|
mulx 1*8($aptr),%r11,%r14 # a[5]*b[0]
|
|
|
|
|
adcx %rax,%r11
|
|
|
|
|
mulx 2*8($aptr),%r12,%rax # ...
|
|
|
|
|
adcx %r14,%r12
|
|
|
|
|
mulx 3*8($aptr),%r13,%r14
|
|
|
|
|
.byte 0x67,0x67
|
|
|
|
|
mov $mi,%rdx
|
|
|
|
|
adcx %rax,%r13
|
|
|
|
|
adcx $zero,%r14 # cf=0
|
|
|
|
|
lea 4*8($aptr),$aptr
|
|
|
|
|
lea 4*8($tptr),$tptr
|
|
|
|
|
|
|
|
|
|
adox %r15,%r10
|
|
|
|
|
mulx 0*8($nptr),%rax,%r15
|
|
|
|
|
adcx %rax,%r10
|
|
|
|
|
adox %r15,%r11
|
|
|
|
|
mulx 1*8($nptr),%rax,%r15
|
|
|
|
|
adcx %rax,%r11
|
|
|
|
|
adox %r15,%r12
|
|
|
|
|
mulx 2*8($nptr),%rax,%r15
|
|
|
|
|
mov %r10,-5*8($tptr)
|
|
|
|
|
adcx %rax,%r12
|
|
|
|
|
mov %r11,-4*8($tptr)
|
|
|
|
|
adox %r15,%r13
|
|
|
|
|
mulx 3*8($nptr),%rax,%r15
|
|
|
|
|
mov $bi,%rdx
|
|
|
|
|
mov %r12,-3*8($tptr)
|
|
|
|
|
adcx %rax,%r13
|
|
|
|
|
adox $zero,%r15
|
|
|
|
|
lea 4*8($nptr),$nptr
|
|
|
|
|
mov %r13,-2*8($tptr)
|
|
|
|
|
|
|
|
|
|
dec $bptr # of=0, pass cf
|
|
|
|
|
jnz .Lmulx4x_1st
|
|
|
|
|
|
|
|
|
|
mov 0(%rsp),$num # load num
|
|
|
|
|
mov 8(%rsp),$bptr # re-load &b[i]
|
|
|
|
|
adc $zero,%r15 # modulo-scheduled
|
|
|
|
|
add %r15,%r14
|
|
|
|
|
sbb %r15,%r15 # top-most carry
|
|
|
|
|
mov %r14,-1*8($tptr)
|
|
|
|
|
jmp .Lmulx4x_outer
|
|
|
|
|
|
|
|
|
|
.align 32
|
|
|
|
|
.Lmulx4x_outer:
|
|
|
|
|
mov ($bptr),%rdx # b[i]
|
|
|
|
|
lea 8($bptr),$bptr # b++
|
|
|
|
|
sub $num,$aptr # rewind $aptr
|
|
|
|
|
mov %r15,($tptr) # save top-most carry
|
|
|
|
|
lea 64+4*8(%rsp),$tptr
|
|
|
|
|
sub $num,$nptr # rewind $nptr
|
|
|
|
|
|
|
|
|
|
mulx 0*8($aptr),$mi,%r11 # a[0]*b[i]
|
|
|
|
|
xor %ebp,%ebp # xor $zero,$zero # cf=0, of=0
|
|
|
|
|
mov %rdx,$bi
|
|
|
|
|
mulx 1*8($aptr),%r14,%r12 # a[1]*b[i]
|
|
|
|
|
adox -4*8($tptr),$mi
|
|
|
|
|
adcx %r14,%r11
|
|
|
|
|
mulx 2*8($aptr),%r15,%r13 # ...
|
|
|
|
|
adox -3*8($tptr),%r11
|
|
|
|
|
adcx %r15,%r12
|
|
|
|
|
adox $zero,%r12
|
|
|
|
|
adcx $zero,%r13
|
|
|
|
|
|
|
|
|
|
mov $bptr,8(%rsp) # off-load &b[i]
|
|
|
|
|
.byte 0x67
|
|
|
|
|
mov $mi,%r15
|
|
|
|
|
imulq 24(%rsp),$mi # "t[0]"*n0
|
|
|
|
|
xor %ebp,%ebp # xor $zero,$zero # cf=0, of=0
|
|
|
|
|
|
|
|
|
|
mulx 3*8($aptr),%rax,%r14
|
|
|
|
|
mov $mi,%rdx
|
|
|
|
|
adox -2*8($tptr),%r12
|
|
|
|
|
adcx %rax,%r13
|
|
|
|
|
adox -1*8($tptr),%r13
|
|
|
|
|
adcx $zero,%r14
|
|
|
|
|
lea 4*8($aptr),$aptr
|
|
|
|
|
adox $zero,%r14
|
|
|
|
|
|
|
|
|
|
mulx 0*8($nptr),%rax,%r10
|
|
|
|
|
adcx %rax,%r15 # discarded
|
|
|
|
|
adox %r11,%r10
|
|
|
|
|
mulx 1*8($nptr),%rax,%r11
|
|
|
|
|
adcx %rax,%r10
|
|
|
|
|
adox %r12,%r11
|
|
|
|
|
mulx 2*8($nptr),%rax,%r12
|
|
|
|
|
mov %r10,-4*8($tptr)
|
|
|
|
|
adcx %rax,%r11
|
|
|
|
|
adox %r13,%r12
|
|
|
|
|
mulx 3*8($nptr),%rax,%r15
|
|
|
|
|
mov $bi,%rdx
|
|
|
|
|
mov %r11,-3*8($tptr)
|
|
|
|
|
lea 4*8($nptr),$nptr
|
|
|
|
|
adcx %rax,%r12
|
|
|
|
|
adox $zero,%r15 # of=0
|
|
|
|
|
mov 48(%rsp),$bptr # counter value
|
|
|
|
|
mov %r12,-2*8($tptr)
|
|
|
|
|
|
|
|
|
|
jmp .Lmulx4x_inner
|
|
|
|
|
|
|
|
|
|
.align 32
|
|
|
|
|
.Lmulx4x_inner:
|
|
|
|
|
mulx 0*8($aptr),%r10,%rax # a[4]*b[i]
|
|
|
|
|
adcx $zero,%r15 # cf=0, modulo-scheduled
|
|
|
|
|
adox %r14,%r10
|
|
|
|
|
mulx 1*8($aptr),%r11,%r14 # a[5]*b[i]
|
|
|
|
|
adcx 0*8($tptr),%r10
|
|
|
|
|
adox %rax,%r11
|
|
|
|
|
mulx 2*8($aptr),%r12,%rax # ...
|
|
|
|
|
adcx 1*8($tptr),%r11
|
|
|
|
|
adox %r14,%r12
|
|
|
|
|
mulx 3*8($aptr),%r13,%r14
|
|
|
|
|
mov $mi,%rdx
|
|
|
|
|
adcx 2*8($tptr),%r12
|
|
|
|
|
adox %rax,%r13
|
|
|
|
|
adcx 3*8($tptr),%r13
|
|
|
|
|
adox $zero,%r14 # of=0
|
|
|
|
|
lea 4*8($aptr),$aptr
|
|
|
|
|
lea 4*8($tptr),$tptr
|
|
|
|
|
adcx $zero,%r14 # cf=0
|
|
|
|
|
|
|
|
|
|
adox %r15,%r10
|
|
|
|
|
mulx 0*8($nptr),%rax,%r15
|
|
|
|
|
adcx %rax,%r10
|
|
|
|
|
adox %r15,%r11
|
|
|
|
|
mulx 1*8($nptr),%rax,%r15
|
|
|
|
|
adcx %rax,%r11
|
|
|
|
|
adox %r15,%r12
|
|
|
|
|
mulx 2*8($nptr),%rax,%r15
|
|
|
|
|
mov %r10,-5*8($tptr)
|
|
|
|
|
adcx %rax,%r12
|
|
|
|
|
adox %r15,%r13
|
|
|
|
|
mulx 3*8($nptr),%rax,%r15
|
|
|
|
|
mov $bi,%rdx
|
|
|
|
|
mov %r11,-4*8($tptr)
|
|
|
|
|
mov %r12,-3*8($tptr)
|
|
|
|
|
adcx %rax,%r13
|
|
|
|
|
adox $zero,%r15
|
|
|
|
|
lea 4*8($nptr),$nptr
|
|
|
|
|
mov %r13,-2*8($tptr)
|
|
|
|
|
|
|
|
|
|
dec $bptr # of=0, pass cf
|
|
|
|
|
jnz .Lmulx4x_inner
|
|
|
|
|
|
|
|
|
|
mov 0(%rsp),$num # load num
|
|
|
|
|
mov 8(%rsp),$bptr # re-load &b[i]
|
|
|
|
|
adc $zero,%r15 # modulo-scheduled
|
|
|
|
|
sub 0*8($tptr),$zero # pull top-most carry
|
|
|
|
|
adc %r15,%r14
|
|
|
|
|
mov -8($nptr),$mi
|
|
|
|
|
sbb %r15,%r15 # top-most carry
|
|
|
|
|
mov %r14,-1*8($tptr)
|
|
|
|
|
|
|
|
|
|
cmp 16(%rsp),$bptr
|
|
|
|
|
jne .Lmulx4x_outer
|
|
|
|
|
|
|
|
|
|
sub %r14,$mi # compare top-most words
|
|
|
|
|
sbb $mi,$mi
|
|
|
|
|
or $mi,%r15
|
|
|
|
|
|
|
|
|
|
neg $num
|
|
|
|
|
xor %rdx,%rdx
|
|
|
|
|
mov 32(%rsp),$rptr # restore rp
|
|
|
|
|
lea 64(%rsp),$tptr
|
|
|
|
|
|
|
|
|
|
pxor %xmm0,%xmm0
|
|
|
|
|
mov 0*8($nptr,$num),%r8
|
|
|
|
|
mov 1*8($nptr,$num),%r9
|
|
|
|
|
neg %r8
|
|
|
|
|
jmp .Lmulx4x_sub_entry
|
|
|
|
|
|
|
|
|
|
.align 32
|
|
|
|
|
.Lmulx4x_sub:
|
|
|
|
|
mov 0*8($nptr,$num),%r8
|
|
|
|
|
mov 1*8($nptr,$num),%r9
|
|
|
|
|
not %r8
|
|
|
|
|
.Lmulx4x_sub_entry:
|
|
|
|
|
mov 2*8($nptr,$num),%r10
|
|
|
|
|
not %r9
|
|
|
|
|
and %r15,%r8
|
|
|
|
|
mov 3*8($nptr,$num),%r11
|
|
|
|
|
not %r10
|
|
|
|
|
and %r15,%r9
|
|
|
|
|
not %r11
|
|
|
|
|
and %r15,%r10
|
|
|
|
|
and %r15,%r11
|
|
|
|
|
|
|
|
|
|
neg %rdx # mov %rdx,%cf
|
|
|
|
|
adc 0*8($tptr),%r8
|
|
|
|
|
adc 1*8($tptr),%r9
|
|
|
|
|
movdqa %xmm0,($tptr)
|
|
|
|
|
adc 2*8($tptr),%r10
|
|
|
|
|
adc 3*8($tptr),%r11
|
|
|
|
|
movdqa %xmm0,16($tptr)
|
|
|
|
|
lea 4*8($tptr),$tptr
|
|
|
|
|
sbb %rdx,%rdx # mov %cf,%rdx
|
|
|
|
|
|
|
|
|
|
mov %r8,0*8($rptr)
|
|
|
|
|
mov %r9,1*8($rptr)
|
|
|
|
|
mov %r10,2*8($rptr)
|
|
|
|
|
mov %r11,3*8($rptr)
|
|
|
|
|
lea 4*8($rptr),$rptr
|
|
|
|
|
|
|
|
|
|
add \$32,$num
|
|
|
|
|
jnz .Lmulx4x_sub
|
|
|
|
|
|
|
|
|
|
mov 40(%rsp),%rsi # restore %rsp
|
|
|
|
|
mov \$1,%rax
|
|
|
|
|
mov -48(%rsi),%r15
|
|
|
|
|
mov -40(%rsi),%r14
|
|
|
|
|
mov -32(%rsi),%r13
|
|
|
|
|
mov -24(%rsi),%r12
|
|
|
|
|
mov -16(%rsi),%rbp
|
|
|
|
|
mov -8(%rsi),%rbx
|
|
|
|
|
lea (%rsi),%rsp
|
|
|
|
|
.Lmulx4x_epilogue:
|
|
|
|
|
ret
|
|
|
|
|
.size bn_mulx4x_mont,.-bn_mulx4x_mont
|
|
|
|
|
___
|
|
|
|
|
}}}
|
|
|
|
|
$code.=<<___;
|
|
|
|
|
.asciz "Montgomery Multiplication for x86_64, CRYPTOGAMS by <appro\@openssl.org>"
|
|
|
|
|
.align 16
|
|
|
|
|
___
|
|
|
|
|
|
|
|
|
|
# EXCEPTION_DISPOSITION handler (EXCEPTION_RECORD *rec,ULONG64 frame,
|
|
|
|
|
# CONTEXT *context,DISPATCHER_CONTEXT *disp)
|
|
|
|
|
if ($win64) {
|
|
|
|
|
$rec="%rcx";
|
|
|
|
|
$frame="%rdx";
|
|
|
|
|
$context="%r8";
|
|
|
|
|
$disp="%r9";
|
|
|
|
|
|
|
|
|
|
$code.=<<___;
|
|
|
|
|
.extern __imp_RtlVirtualUnwind
|
|
|
|
|
.type mul_handler,\@abi-omnipotent
|
|
|
|
|
.align 16
|
|
|
|
|
mul_handler:
|
|
|
|
|
push %rsi
|
|
|
|
|
push %rdi
|
|
|
|
|
push %rbx
|
|
|
|
|
push %rbp
|
|
|
|
|
push %r12
|
|
|
|
|
push %r13
|
|
|
|
|
push %r14
|
|
|
|
|
push %r15
|
|
|
|
|
pushfq
|
|
|
|
|
sub \$64,%rsp
|
|
|
|
|
|
|
|
|
|
mov 120($context),%rax # pull context->Rax
|
|
|
|
|
mov 248($context),%rbx # pull context->Rip
|
|
|
|
|
|
|
|
|
|
mov 8($disp),%rsi # disp->ImageBase
|
|
|
|
|
mov 56($disp),%r11 # disp->HandlerData
|
|
|
|
|
|
|
|
|
|
mov 0(%r11),%r10d # HandlerData[0]
|
|
|
|
|
lea (%rsi,%r10),%r10 # end of prologue label
|
|
|
|
|
cmp %r10,%rbx # context->Rip<end of prologue label
|
|
|
|
|
jb .Lcommon_seh_tail
|
|
|
|
|
|
|
|
|
|
mov 152($context),%rax # pull context->Rsp
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|
|
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|
|
|
mov 4(%r11),%r10d # HandlerData[1]
|
|
|
|
|
lea (%rsi,%r10),%r10 # epilogue label
|
|
|
|
|
cmp %r10,%rbx # context->Rip>=epilogue label
|
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|
|
jae .Lcommon_seh_tail
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|
|
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|
|
mov 192($context),%r10 # pull $num
|
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|
|
mov 8(%rax,%r10,8),%rax # pull saved stack pointer
|
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|
|
lea 48(%rax),%rax
|
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|
|
mov -8(%rax),%rbx
|
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|
|
mov -16(%rax),%rbp
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|
|
|
mov -24(%rax),%r12
|
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|
|
mov -32(%rax),%r13
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|
|
mov -40(%rax),%r14
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|
|
mov -48(%rax),%r15
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|
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|
|
mov %rbx,144($context) # restore context->Rbx
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|
|
mov %rbp,160($context) # restore context->Rbp
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|
|
mov %r12,216($context) # restore context->R12
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|
mov %r13,224($context) # restore context->R13
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|
mov %r14,232($context) # restore context->R14
|
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|
|
mov %r15,240($context) # restore context->R15
|
|
|
|
|
|
|
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|
|
jmp .Lcommon_seh_tail
|
|
|
|
|
.size mul_handler,.-mul_handler
|
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|
|
|
|
|
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|
|
.type sqr_handler,\@abi-omnipotent
|
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|
|
|
.align 16
|
|
|
|
|
sqr_handler:
|
|
|
|
|
push %rsi
|
|
|
|
|
push %rdi
|
|
|
|
|
push %rbx
|
|
|
|
|
push %rbp
|
|
|
|
|
push %r12
|
|
|
|
|
push %r13
|
|
|
|
|
push %r14
|
|
|
|
|
push %r15
|
|
|
|
|
pushfq
|
|
|
|
|
sub \$64,%rsp
|
|
|
|
|
|
|
|
|
|
mov 120($context),%rax # pull context->Rax
|
|
|
|
|
mov 248($context),%rbx # pull context->Rip
|
|
|
|
|
|
|
|
|
|
mov 8($disp),%rsi # disp->ImageBase
|
|
|
|
|
mov 56($disp),%r11 # disp->HandlerData
|
|
|
|
|
|
|
|
|
|
mov 0(%r11),%r10d # HandlerData[0]
|
|
|
|
|
lea (%rsi,%r10),%r10 # end of prologue label
|
|
|
|
|
cmp %r10,%rbx # context->Rip<.Lsqr_body
|
|
|
|
|
jb .Lcommon_seh_tail
|
|
|
|
|
|
|
|
|
|
mov 152($context),%rax # pull context->Rsp
|
|
|
|
|
|
|
|
|
|
mov 4(%r11),%r10d # HandlerData[1]
|
|
|
|
|
lea (%rsi,%r10),%r10 # epilogue label
|
|
|
|
|
cmp %r10,%rbx # context->Rip>=.Lsqr_epilogue
|
|
|
|
|
jae .Lcommon_seh_tail
|
|
|
|
|
|
|
|
|
|
mov 40(%rax),%rax # pull saved stack pointer
|
|
|
|
|
|
|
|
|
|
mov -8(%rax),%rbx
|
|
|
|
|
mov -16(%rax),%rbp
|
|
|
|
|
mov -24(%rax),%r12
|
|
|
|
|
mov -32(%rax),%r13
|
|
|
|
|
mov -40(%rax),%r14
|
|
|
|
|
mov -48(%rax),%r15
|
|
|
|
|
mov %rbx,144($context) # restore context->Rbx
|
|
|
|
|
mov %rbp,160($context) # restore context->Rbp
|
|
|
|
|
mov %r12,216($context) # restore context->R12
|
|
|
|
|
mov %r13,224($context) # restore context->R13
|
|
|
|
|
mov %r14,232($context) # restore context->R14
|
|
|
|
|
mov %r15,240($context) # restore context->R15
|
|
|
|
|
|
|
|
|
|
.Lcommon_seh_tail:
|
|
|
|
|
mov 8(%rax),%rdi
|
|
|
|
|
mov 16(%rax),%rsi
|
|
|
|
|
mov %rax,152($context) # restore context->Rsp
|
|
|
|
|
mov %rsi,168($context) # restore context->Rsi
|
|
|
|
|
mov %rdi,176($context) # restore context->Rdi
|
|
|
|
|
|
|
|
|
|
mov 40($disp),%rdi # disp->ContextRecord
|
|
|
|
|
mov $context,%rsi # context
|
|
|
|
|
mov \$154,%ecx # sizeof(CONTEXT)
|
|
|
|
|
.long 0xa548f3fc # cld; rep movsq
|
|
|
|
|
|
|
|
|
|
mov $disp,%rsi
|
|
|
|
|
xor %rcx,%rcx # arg1, UNW_FLAG_NHANDLER
|
|
|
|
|
mov 8(%rsi),%rdx # arg2, disp->ImageBase
|
|
|
|
|
mov 0(%rsi),%r8 # arg3, disp->ControlPc
|
|
|
|
|
mov 16(%rsi),%r9 # arg4, disp->FunctionEntry
|
|
|
|
|
mov 40(%rsi),%r10 # disp->ContextRecord
|
|
|
|
|
lea 56(%rsi),%r11 # &disp->HandlerData
|
|
|
|
|
lea 24(%rsi),%r12 # &disp->EstablisherFrame
|
|
|
|
|
mov %r10,32(%rsp) # arg5
|
|
|
|
|
mov %r11,40(%rsp) # arg6
|
|
|
|
|
mov %r12,48(%rsp) # arg7
|
|
|
|
|
mov %rcx,56(%rsp) # arg8, (NULL)
|
|
|
|
|
call *__imp_RtlVirtualUnwind(%rip)
|
|
|
|
|
|
|
|
|
|
mov \$1,%eax # ExceptionContinueSearch
|
|
|
|
|
add \$64,%rsp
|
|
|
|
|
popfq
|
|
|
|
|
pop %r15
|
|
|
|
|
pop %r14
|
|
|
|
|
pop %r13
|
|
|
|
|
pop %r12
|
|
|
|
|
pop %rbp
|
|
|
|
|
pop %rbx
|
|
|
|
|
pop %rdi
|
|
|
|
|
pop %rsi
|
|
|
|
|
ret
|
|
|
|
|
.size sqr_handler,.-sqr_handler
|
|
|
|
|
|
|
|
|
|
.section .pdata
|
|
|
|
|
.align 4
|
|
|
|
|
.rva .LSEH_begin_bn_mul_mont
|
|
|
|
|
.rva .LSEH_end_bn_mul_mont
|
|
|
|
|
.rva .LSEH_info_bn_mul_mont
|
|
|
|
|
|
|
|
|
|
.rva .LSEH_begin_bn_mul4x_mont
|
|
|
|
|
.rva .LSEH_end_bn_mul4x_mont
|
|
|
|
|
.rva .LSEH_info_bn_mul4x_mont
|
|
|
|
|
|
|
|
|
|
.rva .LSEH_begin_bn_sqr8x_mont
|
|
|
|
|
.rva .LSEH_end_bn_sqr8x_mont
|
|
|
|
|
.rva .LSEH_info_bn_sqr8x_mont
|
|
|
|
|
___
|
|
|
|
|
$code.=<<___ if ($addx);
|
|
|
|
|
.rva .LSEH_begin_bn_mulx4x_mont
|
|
|
|
|
.rva .LSEH_end_bn_mulx4x_mont
|
|
|
|
|
.rva .LSEH_info_bn_mulx4x_mont
|
|
|
|
|
___
|
|
|
|
|
$code.=<<___;
|
|
|
|
|
.section .xdata
|
|
|
|
|
.align 8
|
|
|
|
|
.LSEH_info_bn_mul_mont:
|
|
|
|
|
.byte 9,0,0,0
|
|
|
|
|
.rva mul_handler
|
|
|
|
|
.rva .Lmul_body,.Lmul_epilogue # HandlerData[]
|
|
|
|
|
.LSEH_info_bn_mul4x_mont:
|
|
|
|
|
.byte 9,0,0,0
|
|
|
|
|
.rva mul_handler
|
|
|
|
|
.rva .Lmul4x_body,.Lmul4x_epilogue # HandlerData[]
|
|
|
|
|
.LSEH_info_bn_sqr8x_mont:
|
|
|
|
|
.byte 9,0,0,0
|
|
|
|
|
.rva sqr_handler
|
|
|
|
|
.rva .Lsqr8x_body,.Lsqr8x_epilogue # HandlerData[]
|
|
|
|
|
___
|
|
|
|
|
$code.=<<___ if ($addx);
|
|
|
|
|
.LSEH_info_bn_mulx4x_mont:
|
|
|
|
|
.byte 9,0,0,0
|
|
|
|
|
.rva sqr_handler
|
|
|
|
|
.rva .Lmulx4x_body,.Lmulx4x_epilogue # HandlerData[]
|
|
|
|
|
___
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
print $code;
|
|
|
|
|
close STDOUT;
|