2980 lines
64 KiB
Perl
Executable File
2980 lines
64 KiB
Perl
Executable File
#!/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/ || $ENV{ASM} =~ /ml64/) &&
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`ml64 2>&1` =~ /Version ([0-9]+)\./) {
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$addx = ($1>=11);
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}
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# int bn_mul_mont(
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$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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jl .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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dec $j # doesnn't affect CF!
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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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and %rax,$ap
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not %rax
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mov $rp,$np
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and %rax,$np
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mov $num,$j # j=num
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or $np,$ap # ap=borrow?tp:rp
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.align 16
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.Lcopy: # copy or in-place refresh
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mov ($ap,$i,8),%rax
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mov $i,(%rsp,$i,8) # zap temporary vector
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mov %rax,($rp,$i,8) # rp[i]=tp[i]
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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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$code.=<<___;
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.type bn_mul4x_mont,\@function,6
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.align 16
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bn_mul4x_mont:
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.Lmul4x_enter:
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___
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$code.=<<___ if ($addx);
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and \$0x80100,%r11d
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cmp \$0x80100,%r11d
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je .Lmulx4x_enter
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___
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$code.=<<___;
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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 4($num),%r10
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mov %rsp,%r11
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neg %r10
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lea (%rsp,%r10,8),%rsp # tp=alloca(8*(num+4))
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and \$-1024,%rsp # minimize TLB usage
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mov %r11,8(%rsp,$num,8) # tp[num+1]=%rsp
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.Lmul4x_body:
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mov $rp,16(%rsp,$num,8) # tp[num+2]=$rp
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mov %rdx,%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 $m0 # ap[0]*bp[0]
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mov %rax,$A[0]
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mov ($np),%rax
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imulq $A[0],$m1 # "tp[0]"*n0
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mov %rdx,$A[1]
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mulq $m1 # np[0]*m1
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add %rax,$A[0] # discarded
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mov 8($ap),%rax
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adc \$0,%rdx
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mov %rdx,$N[1]
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mulq $m0
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add %rax,$A[1]
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mov 8($np),%rax
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adc \$0,%rdx
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mov %rdx,$A[0]
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mulq $m1
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add %rax,$N[1]
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mov 16($ap),%rax
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adc \$0,%rdx
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add $A[1],$N[1]
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lea 4($j),$j # j++
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adc \$0,%rdx
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mov $N[1],(%rsp)
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mov %rdx,$N[0]
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jmp .L1st4x
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.align 16
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.L1st4x:
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mulq $m0 # ap[j]*bp[0]
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add %rax,$A[0]
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mov -16($np,$j,8),%rax
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adc \$0,%rdx
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mov %rdx,$A[1]
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mulq $m1 # np[j]*m1
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add %rax,$N[0]
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mov -8($ap,$j,8),%rax
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adc \$0,%rdx
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add $A[0],$N[0] # np[j]*m1+ap[j]*bp[0]
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adc \$0,%rdx
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mov $N[0],-24(%rsp,$j,8) # tp[j-1]
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mov %rdx,$N[1]
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|
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mulq $m0 # ap[j]*bp[0]
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add %rax,$A[1]
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mov -8($np,$j,8),%rax
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adc \$0,%rdx
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mov %rdx,$A[0]
|
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|
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mulq $m1 # np[j]*m1
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||
add %rax,$N[1]
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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]
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mov %rdx,$N[0]
|
||
|
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mulq $m0 # ap[j]*bp[0]
|
||
add %rax,$A[0]
|
||
mov ($np,$j,8),%rax
|
||
adc \$0,%rdx
|
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mov %rdx,$A[1]
|
||
|
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mulq $m1 # np[j]*m1
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||
add %rax,$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
|
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mov $N[1],-32(%rsp,$j,8) # tp[j-1]
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||
mov %rdx,$N[0]
|
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cmp $num,$j
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||
jl .L1st4x
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||
|
||
mulq $m0 # ap[j]*bp[0]
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||
add %rax,$A[0]
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||
mov -16($np,$j,8),%rax
|
||
adc \$0,%rdx
|
||
mov %rdx,$A[1]
|
||
|
||
mulq $m1 # np[j]*m1
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||
add %rax,$N[0]
|
||
mov -8($ap,$j,8),%rax
|
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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]
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||
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]
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||
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
|
||
jl .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
|
||
jl .Louter4x
|
||
___
|
||
{
|
||
my @ri=("%rax","%rdx",$m0,$m1);
|
||
$code.=<<___;
|
||
mov 16(%rsp,$num,8),$rp # restore $rp
|
||
mov 0(%rsp),@ri[0] # tp[0]
|
||
pxor %xmm0,%xmm0
|
||
mov 8(%rsp),@ri[1] # tp[1]
|
||
shr \$2,$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,$i,8) # rp[i]=tp[i]-np[i]
|
||
|
||
sbb \$0,@ri[0] # handle upmost overflow bit
|
||
mov @ri[3],24($rp,$i,8) # rp[i]=tp[i]-np[i]
|
||
xor $i,$i # i=0
|
||
and @ri[0],$ap
|
||
not @ri[0]
|
||
mov $rp,$np
|
||
and @ri[0],$np
|
||
lea -1($num),$j
|
||
or $np,$ap # ap=borrow?tp:rp
|
||
|
||
movdqu ($ap),%xmm1
|
||
movdqa %xmm0,(%rsp)
|
||
movdqu %xmm1,($rp)
|
||
jmp .Lcopy4x
|
||
.align 16
|
||
.Lcopy4x: # copy or in-place refresh
|
||
movdqu 16($ap,$i),%xmm2
|
||
movdqu 32($ap,$i),%xmm1
|
||
movdqa %xmm0,16(%rsp,$i)
|
||
movdqu %xmm2,16($rp,$i)
|
||
movdqa %xmm0,32(%rsp,$i)
|
||
movdqu %xmm1,32($rp,$i)
|
||
lea 32($i),$i
|
||
dec $j
|
||
jnz .Lcopy4x
|
||
|
||
shl \$2,$num
|
||
movdqu 16($ap,$i),%xmm2
|
||
movdqa %xmm0,16(%rsp,$i)
|
||
movdqu %xmm2,16($rp,$i)
|
||
___
|
||
}
|
||
$code.=<<___;
|
||
mov 8(%rsp,$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");
|
||
|
||
$code.=<<___;
|
||
.type bn_sqr8x_mont,\@function,6
|
||
.align 32
|
||
bn_sqr8x_mont:
|
||
.Lsqr8x_enter:
|
||
___
|
||
$code.=<<___ if ($addx);
|
||
and \$0x80100,%r11d
|
||
cmp \$0x80100,%r11d
|
||
je .Lsqrx8x_enter
|
||
___
|
||
$code.=<<___;
|
||
push %rbx
|
||
push %rbp
|
||
push %r12
|
||
push %r13
|
||
push %r14
|
||
push %r15
|
||
|
||
shl \$3,${num}d # convert $num to bytes
|
||
xor %r10,%r10
|
||
mov %rsp,%r11 # put aside %rsp
|
||
sub $num,%r10 # -$num
|
||
mov ($n0),$n0 # *n0
|
||
lea -72(%rsp,%r10,2),%rsp # alloca(frame+2*$num)
|
||
and \$-1024,%rsp # minimize TLB usage
|
||
##############################################################
|
||
# Stack layout
|
||
#
|
||
# +0 saved $num, used in reduction section
|
||
# +8 &t[2*$num], used in reduction section
|
||
# +32 saved $rptr
|
||
# +40 saved $nptr
|
||
# +48 saved *n0
|
||
# +56 saved %rsp
|
||
# +64 t[2*$num]
|
||
#
|
||
mov $rptr,32(%rsp) # save $rptr
|
||
mov $nptr,40(%rsp)
|
||
mov $n0, 48(%rsp)
|
||
mov %r11, 56(%rsp) # save original %rsp
|
||
.Lsqr8x_body:
|
||
##############################################################
|
||
# Squaring part:
|
||
#
|
||
# a) multiply-n-add everything but a[i]*a[i];
|
||
# b) shift result of a) by 1 to the left and accumulate
|
||
# a[i]*a[i] products;
|
||
#
|
||
##############################################################
|
||
# a[1]a[0]
|
||
# a[2]a[0]
|
||
# a[3]a[0]
|
||
# a[2]a[1]
|
||
# a[4]a[0]
|
||
# a[3]a[1]
|
||
# a[5]a[0]
|
||
# a[4]a[1]
|
||
# a[3]a[2]
|
||
# a[6]a[0]
|
||
# a[5]a[1]
|
||
# a[4]a[2]
|
||
# a[7]a[0]
|
||
# a[6]a[1]
|
||
# a[5]a[2]
|
||
# a[4]a[3]
|
||
# a[7]a[1]
|
||
# a[6]a[2]
|
||
# a[5]a[3]
|
||
# a[7]a[2]
|
||
# a[6]a[3]
|
||
# a[5]a[4]
|
||
# a[7]a[3]
|
||
# a[6]a[4]
|
||
# a[7]a[4]
|
||
# a[6]a[5]
|
||
# a[7]a[5]
|
||
# a[7]a[6]
|
||
# a[1]a[0]
|
||
# a[2]a[0]
|
||
# a[3]a[0]
|
||
# a[4]a[0]
|
||
# a[5]a[0]
|
||
# a[6]a[0]
|
||
# a[7]a[0]
|
||
# a[2]a[1]
|
||
# a[3]a[1]
|
||
# a[4]a[1]
|
||
# a[5]a[1]
|
||
# a[6]a[1]
|
||
# a[7]a[1]
|
||
# a[3]a[2]
|
||
# a[4]a[2]
|
||
# a[5]a[2]
|
||
# a[6]a[2]
|
||
# a[7]a[2]
|
||
# a[4]a[3]
|
||
# a[5]a[3]
|
||
# a[6]a[3]
|
||
# a[7]a[3]
|
||
# a[5]a[4]
|
||
# a[6]a[4]
|
||
# a[7]a[4]
|
||
# a[6]a[5]
|
||
# a[7]a[5]
|
||
# a[7]a[6]
|
||
# a[0]a[0]
|
||
# a[1]a[1]
|
||
# a[2]a[2]
|
||
# a[3]a[3]
|
||
# a[4]a[4]
|
||
# a[5]a[5]
|
||
# a[6]a[6]
|
||
# a[7]a[7]
|
||
|
||
lea 32(%r10),$i # $i=-($num-32)
|
||
lea ($aptr,$num),$aptr # end of a[] buffer, ($aptr,$i)=&ap[2]
|
||
|
||
mov $num,$j # $j=$num
|
||
|
||
# comments apply to $num==8 case
|
||
mov -32($aptr,$i),$a0 # a[0]
|
||
lea 64(%rsp,$num,2),$tptr # end of tp[] buffer, &tp[2*$num]
|
||
mov -24($aptr,$i),%rax # a[1]
|
||
lea -32($tptr,$i),$tptr # end of tp[] window, &tp[2*$num-"$i"]
|
||
mov -16($aptr,$i),$ai # a[2]
|
||
mov %rax,$a1
|
||
|
||
mul $a0 # a[1]*a[0]
|
||
mov %rax,$A0[0] # a[1]*a[0]
|
||
mov $ai,%rax # a[2]
|
||
mov %rdx,$A0[1]
|
||
mov $A0[0],-24($tptr,$i) # t[1]
|
||
|
||
mul $a0 # a[2]*a[0]
|
||
add %rax,$A0[1]
|
||
mov $ai,%rax
|
||
adc \$0,%rdx
|
||
mov $A0[1],-16($tptr,$i) # t[2]
|
||
mov %rdx,$A0[0]
|
||
|
||
lea -16($i),$j # j=-16
|
||
|
||
|
||
mov 8($aptr,$j),$ai # a[3]
|
||
mul $a1 # a[2]*a[1]
|
||
mov %rax,$A1[0] # a[2]*a[1]+t[3]
|
||
mov $ai,%rax
|
||
mov %rdx,$A1[1]
|
||
|
||
lea 16($j),$j
|
||
mul $a0 # a[3]*a[0]
|
||
add %rax,$A0[0] # a[3]*a[0]+a[2]*a[1]+t[3]
|
||
mov $ai,%rax
|
||
mov %rdx,$A0[1]
|
||
adc \$0,$A0[1]
|
||
add $A1[0],$A0[0]
|
||
adc \$0,$A0[1]
|
||
mov $A0[0],-8($tptr,$j) # t[3]
|
||
jmp .Lsqr4x_1st
|
||
|
||
.align 32
|
||
.Lsqr4x_1st:
|
||
mov ($aptr,$j),$ai # a[4]
|
||
mul $a1 # a[3]*a[1]
|
||
add %rax,$A1[1] # a[3]*a[1]+t[4]
|
||
mov $ai,%rax
|
||
mov %rdx,$A1[0]
|
||
adc \$0,$A1[0]
|
||
|
||
mul $a0 # a[4]*a[0]
|
||
add %rax,$A0[1] # a[4]*a[0]+a[3]*a[1]+t[4]
|
||
mov $ai,%rax # a[3]
|
||
mov 8($aptr,$j),$ai # a[5]
|
||
mov %rdx,$A0[0]
|
||
adc \$0,$A0[0]
|
||
add $A1[1],$A0[1]
|
||
adc \$0,$A0[0]
|
||
|
||
|
||
mul $a1 # a[4]*a[3]
|
||
add %rax,$A1[0] # a[4]*a[3]+t[5]
|
||
mov $ai,%rax
|
||
mov $A0[1],($tptr,$j) # t[4]
|
||
mov %rdx,$A1[1]
|
||
adc \$0,$A1[1]
|
||
|
||
mul $a0 # a[5]*a[2]
|
||
add %rax,$A0[0] # a[5]*a[2]+a[4]*a[3]+t[5]
|
||
mov $ai,%rax
|
||
mov 16($aptr,$j),$ai # a[6]
|
||
mov %rdx,$A0[1]
|
||
adc \$0,$A0[1]
|
||
add $A1[0],$A0[0]
|
||
adc \$0,$A0[1]
|
||
|
||
mul $a1 # a[5]*a[3]
|
||
add %rax,$A1[1] # a[5]*a[3]+t[6]
|
||
mov $ai,%rax
|
||
mov $A0[0],8($tptr,$j) # t[5]
|
||
mov %rdx,$A1[0]
|
||
adc \$0,$A1[0]
|
||
|
||
mul $a0 # a[6]*a[2]
|
||
add %rax,$A0[1] # a[6]*a[2]+a[5]*a[3]+t[6]
|
||
mov $ai,%rax # a[3]
|
||
mov 24($aptr,$j),$ai # a[7]
|
||
mov %rdx,$A0[0]
|
||
adc \$0,$A0[0]
|
||
add $A1[1],$A0[1]
|
||
adc \$0,$A0[0]
|
||
|
||
|
||
mul $a1 # a[6]*a[5]
|
||
add %rax,$A1[0] # a[6]*a[5]+t[7]
|
||
mov $ai,%rax
|
||
mov $A0[1],16($tptr,$j) # t[6]
|
||
mov %rdx,$A1[1]
|
||
adc \$0,$A1[1]
|
||
|
||
mul $a0 # a[7]*a[4]
|
||
add %rax,$A0[0] # a[7]*a[4]+a[6]*a[5]+t[6]
|
||
mov $ai,%rax
|
||
lea 32($j),$j
|
||
mov %rdx,$A0[1]
|
||
adc \$0,$A0[1]
|
||
add $A1[0],$A0[0]
|
||
adc \$0,$A0[1]
|
||
mov $A0[0],-8($tptr,$j) # t[7]
|
||
|
||
cmp \$0,$j
|
||
jne .Lsqr4x_1st
|
||
|
||
mul $a1 # a[7]*a[5]
|
||
add %rax,$A1[1]
|
||
lea 16($i),$i
|
||
adc \$0,%rdx
|
||
add $A0[1],$A1[1]
|
||
adc \$0,%rdx
|
||
|
||
mov $A1[1],($tptr) # t[8]
|
||
mov %rdx,$A1[0]
|
||
mov %rdx,8($tptr) # t[9]
|
||
jmp .Lsqr4x_outer
|
||
|
||
.align 32
|
||
.Lsqr4x_outer: # comments apply to $num==6 case
|
||
mov -32($aptr,$i),$a0 # a[0]
|
||
lea 64(%rsp,$num,2),$tptr # end of tp[] buffer, &tp[2*$num]
|
||
mov -24($aptr,$i),%rax # a[1]
|
||
lea -32($tptr,$i),$tptr # end of tp[] window, &tp[2*$num-"$i"]
|
||
mov -16($aptr,$i),$ai # a[2]
|
||
mov %rax,$a1
|
||
|
||
mov -24($tptr,$i),$A0[0] # t[1]
|
||
mul $a0 # a[1]*a[0]
|
||
add %rax,$A0[0] # a[1]*a[0]+t[1]
|
||
mov $ai,%rax # a[2]
|
||
adc \$0,%rdx
|
||
mov $A0[0],-24($tptr,$i) # t[1]
|
||
mov %rdx,$A0[1]
|
||
|
||
mul $a0 # a[2]*a[0]
|
||
add %rax,$A0[1]
|
||
mov $ai,%rax
|
||
adc \$0,%rdx
|
||
add -16($tptr,$i),$A0[1] # a[2]*a[0]+t[2]
|
||
mov %rdx,$A0[0]
|
||
adc \$0,$A0[0]
|
||
mov $A0[1],-16($tptr,$i) # t[2]
|
||
|
||
lea -16($i),$j # j=-16
|
||
xor $A1[0],$A1[0]
|
||
|
||
|
||
mov 8($aptr,$j),$ai # a[3]
|
||
mul $a1 # a[2]*a[1]
|
||
add %rax,$A1[0] # a[2]*a[1]+t[3]
|
||
mov $ai,%rax
|
||
adc \$0,%rdx
|
||
add 8($tptr,$j),$A1[0]
|
||
mov %rdx,$A1[1]
|
||
adc \$0,$A1[1]
|
||
|
||
mul $a0 # a[3]*a[0]
|
||
add %rax,$A0[0] # a[3]*a[0]+a[2]*a[1]+t[3]
|
||
mov $ai,%rax
|
||
adc \$0,%rdx
|
||
add $A1[0],$A0[0]
|
||
mov %rdx,$A0[1]
|
||
adc \$0,$A0[1]
|
||
mov $A0[0],8($tptr,$j) # t[3]
|
||
|
||
lea 16($j),$j
|
||
jmp .Lsqr4x_inner
|
||
|
||
.align 32
|
||
.Lsqr4x_inner:
|
||
mov ($aptr,$j),$ai # a[4]
|
||
mul $a1 # a[3]*a[1]
|
||
add %rax,$A1[1] # a[3]*a[1]+t[4]
|
||
mov $ai,%rax
|
||
mov %rdx,$A1[0]
|
||
adc \$0,$A1[0]
|
||
add ($tptr,$j),$A1[1]
|
||
adc \$0,$A1[0]
|
||
|
||
mul $a0 # a[4]*a[0]
|
||
add %rax,$A0[1] # a[4]*a[0]+a[3]*a[1]+t[4]
|
||
mov $ai,%rax # a[3]
|
||
mov 8($aptr,$j),$ai # a[5]
|
||
mov %rdx,$A0[0]
|
||
adc \$0,$A0[0]
|
||
add $A1[1],$A0[1]
|
||
adc \$0,$A0[0]
|
||
|
||
mul $a1 # a[4]*a[3]
|
||
add %rax,$A1[0] # a[4]*a[3]+t[5]
|
||
mov $A0[1],($tptr,$j) # t[4]
|
||
mov $ai,%rax
|
||
mov %rdx,$A1[1]
|
||
adc \$0,$A1[1]
|
||
add 8($tptr,$j),$A1[0]
|
||
lea 16($j),$j # j++
|
||
adc \$0,$A1[1]
|
||
|
||
mul $a0 # a[5]*a[2]
|
||
add %rax,$A0[0] # a[5]*a[2]+a[4]*a[3]+t[5]
|
||
mov $ai,%rax
|
||
adc \$0,%rdx
|
||
add $A1[0],$A0[0]
|
||
mov %rdx,$A0[1]
|
||
adc \$0,$A0[1]
|
||
mov $A0[0],-8($tptr,$j) # t[5], "preloaded t[1]" below
|
||
|
||
cmp \$0,$j
|
||
jne .Lsqr4x_inner
|
||
|
||
mul $a1 # a[5]*a[3]
|
||
add %rax,$A1[1]
|
||
adc \$0,%rdx
|
||
add $A0[1],$A1[1]
|
||
adc \$0,%rdx
|
||
|
||
mov $A1[1],($tptr) # t[6], "preloaded t[2]" below
|
||
mov %rdx,$A1[0]
|
||
mov %rdx,8($tptr) # t[7], "preloaded t[3]" below
|
||
|
||
add \$16,$i
|
||
jnz .Lsqr4x_outer
|
||
|
||
# comments apply to $num==4 case
|
||
mov -32($aptr),$a0 # a[0]
|
||
lea 64(%rsp,$num,2),$tptr # end of tp[] buffer, &tp[2*$num]
|
||
mov -24($aptr),%rax # a[1]
|
||
lea -32($tptr,$i),$tptr # end of tp[] window, &tp[2*$num-"$i"]
|
||
mov -16($aptr),$ai # a[2]
|
||
mov %rax,$a1
|
||
|
||
mul $a0 # a[1]*a[0]
|
||
add %rax,$A0[0] # a[1]*a[0]+t[1], preloaded t[1]
|
||
mov $ai,%rax # a[2]
|
||
mov %rdx,$A0[1]
|
||
adc \$0,$A0[1]
|
||
|
||
mul $a0 # a[2]*a[0]
|
||
add %rax,$A0[1]
|
||
mov $ai,%rax
|
||
mov $A0[0],-24($tptr) # t[1]
|
||
mov %rdx,$A0[0]
|
||
adc \$0,$A0[0]
|
||
add $A1[1],$A0[1] # a[2]*a[0]+t[2], preloaded t[2]
|
||
mov -8($aptr),$ai # a[3]
|
||
adc \$0,$A0[0]
|
||
|
||
mul $a1 # a[2]*a[1]
|
||
add %rax,$A1[0] # a[2]*a[1]+t[3], preloaded t[3]
|
||
mov $ai,%rax
|
||
mov $A0[1],-16($tptr) # t[2]
|
||
mov %rdx,$A1[1]
|
||
adc \$0,$A1[1]
|
||
|
||
mul $a0 # a[3]*a[0]
|
||
add %rax,$A0[0] # a[3]*a[0]+a[2]*a[1]+t[3]
|
||
mov $ai,%rax
|
||
mov %rdx,$A0[1]
|
||
adc \$0,$A0[1]
|
||
add $A1[0],$A0[0]
|
||
adc \$0,$A0[1]
|
||
mov $A0[0],-8($tptr) # t[3]
|
||
|
||
mul $a1 # a[3]*a[1]
|
||
add %rax,$A1[1]
|
||
mov -16($aptr),%rax # a[2]
|
||
adc \$0,%rdx
|
||
add $A0[1],$A1[1]
|
||
adc \$0,%rdx
|
||
|
||
mov $A1[1],($tptr) # t[4]
|
||
mov %rdx,$A1[0]
|
||
mov %rdx,8($tptr) # t[5]
|
||
|
||
mul $ai # a[2]*a[3]
|
||
___
|
||
{
|
||
my ($shift,$carry)=($a0,$a1);
|
||
my @S=(@A1,$ai,$n0);
|
||
$code.=<<___;
|
||
add \$16,$i
|
||
xor $shift,$shift
|
||
sub $num,$i # $i=16-$num
|
||
xor $carry,$carry
|
||
|
||
add $A1[0],%rax # t[5]
|
||
adc \$0,%rdx
|
||
mov %rax,8($tptr) # t[5]
|
||
mov %rdx,16($tptr) # t[6]
|
||
mov $carry,24($tptr) # t[7]
|
||
|
||
mov -16($aptr,$i),%rax # a[0]
|
||
lea 64(%rsp),$tptr
|
||
xor $A0[0],$A0[0] # t[0]
|
||
mov 8($tptr),$A0[1] # t[1]
|
||
|
||
lea ($shift,$A0[0],2),$S[0] # t[2*i]<<1 | shift
|
||
shr \$63,$A0[0]
|
||
lea ($j,$A0[1],2),$S[1] # t[2*i+1]<<1 |
|
||
shr \$63,$A0[1]
|
||
or $A0[0],$S[1] # | t[2*i]>>63
|
||
mov 16($tptr),$A0[0] # t[2*i+2] # prefetch
|
||
mov $A0[1],$shift # shift=t[2*i+1]>>63
|
||
mul %rax # a[i]*a[i]
|
||
neg $carry # mov $carry,cf
|
||
mov 24($tptr),$A0[1] # t[2*i+2+1] # prefetch
|
||
adc %rax,$S[0]
|
||
mov -8($aptr,$i),%rax # a[i+1] # prefetch
|
||
mov $S[0],($tptr)
|
||
adc %rdx,$S[1]
|
||
|
||
lea ($shift,$A0[0],2),$S[2] # t[2*i]<<1 | shift
|
||
mov $S[1],8($tptr)
|
||
sbb $carry,$carry # mov cf,$carry
|
||
shr \$63,$A0[0]
|
||
lea ($j,$A0[1],2),$S[3] # t[2*i+1]<<1 |
|
||
shr \$63,$A0[1]
|
||
or $A0[0],$S[3] # | t[2*i]>>63
|
||
mov 32($tptr),$A0[0] # t[2*i+2] # prefetch
|
||
mov $A0[1],$shift # shift=t[2*i+1]>>63
|
||
mul %rax # a[i]*a[i]
|
||
neg $carry # mov $carry,cf
|
||
mov 40($tptr),$A0[1] # t[2*i+2+1] # prefetch
|
||
adc %rax,$S[2]
|
||
mov 0($aptr,$i),%rax # a[i+1] # prefetch
|
||
mov $S[2],16($tptr)
|
||
adc %rdx,$S[3]
|
||
lea 16($i),$i
|
||
mov $S[3],24($tptr)
|
||
sbb $carry,$carry # mov cf,$carry
|
||
lea 64($tptr),$tptr
|
||
jmp .Lsqr4x_shift_n_add
|
||
|
||
.align 32
|
||
.Lsqr4x_shift_n_add:
|
||
lea ($shift,$A0[0],2),$S[0] # t[2*i]<<1 | shift
|
||
shr \$63,$A0[0]
|
||
lea ($j,$A0[1],2),$S[1] # t[2*i+1]<<1 |
|
||
shr \$63,$A0[1]
|
||
or $A0[0],$S[1] # | t[2*i]>>63
|
||
mov -16($tptr),$A0[0] # t[2*i+2] # prefetch
|
||
mov $A0[1],$shift # shift=t[2*i+1]>>63
|
||
mul %rax # a[i]*a[i]
|
||
neg $carry # mov $carry,cf
|
||
mov -8($tptr),$A0[1] # t[2*i+2+1] # prefetch
|
||
adc %rax,$S[0]
|
||
mov -8($aptr,$i),%rax # a[i+1] # prefetch
|
||
mov $S[0],-32($tptr)
|
||
adc %rdx,$S[1]
|
||
|
||
lea ($shift,$A0[0],2),$S[2] # t[2*i]<<1 | shift
|
||
mov $S[1],-24($tptr)
|
||
sbb $carry,$carry # mov cf,$carry
|
||
shr \$63,$A0[0]
|
||
lea ($j,$A0[1],2),$S[3] # t[2*i+1]<<1 |
|
||
shr \$63,$A0[1]
|
||
or $A0[0],$S[3] # | t[2*i]>>63
|
||
mov 0($tptr),$A0[0] # t[2*i+2] # prefetch
|
||
mov $A0[1],$shift # shift=t[2*i+1]>>63
|
||
mul %rax # a[i]*a[i]
|
||
neg $carry # mov $carry,cf
|
||
mov 8($tptr),$A0[1] # t[2*i+2+1] # prefetch
|
||
adc %rax,$S[2]
|
||
mov 0($aptr,$i),%rax # a[i+1] # prefetch
|
||
mov $S[2],-16($tptr)
|
||
adc %rdx,$S[3]
|
||
|
||
lea ($shift,$A0[0],2),$S[0] # t[2*i]<<1 | shift
|
||
mov $S[3],-8($tptr)
|
||
sbb $carry,$carry # mov cf,$carry
|
||
shr \$63,$A0[0]
|
||
lea ($j,$A0[1],2),$S[1] # t[2*i+1]<<1 |
|
||
shr \$63,$A0[1]
|
||
or $A0[0],$S[1] # | t[2*i]>>63
|
||
mov 16($tptr),$A0[0] # t[2*i+2] # prefetch
|
||
mov $A0[1],$shift # shift=t[2*i+1]>>63
|
||
mul %rax # a[i]*a[i]
|
||
neg $carry # mov $carry,cf
|
||
mov 24($tptr),$A0[1] # t[2*i+2+1] # prefetch
|
||
adc %rax,$S[0]
|
||
mov 8($aptr,$i),%rax # a[i+1] # prefetch
|
||
mov $S[0],0($tptr)
|
||
adc %rdx,$S[1]
|
||
|
||
lea ($shift,$A0[0],2),$S[2] # t[2*i]<<1 | shift
|
||
mov $S[1],8($tptr)
|
||
sbb $carry,$carry # mov cf,$carry
|
||
shr \$63,$A0[0]
|
||
lea ($j,$A0[1],2),$S[3] # t[2*i+1]<<1 |
|
||
shr \$63,$A0[1]
|
||
or $A0[0],$S[3] # | t[2*i]>>63
|
||
mov 32($tptr),$A0[0] # t[2*i+2] # prefetch
|
||
mov $A0[1],$shift # shift=t[2*i+1]>>63
|
||
mul %rax # a[i]*a[i]
|
||
neg $carry # mov $carry,cf
|
||
mov 40($tptr),$A0[1] # t[2*i+2+1] # prefetch
|
||
adc %rax,$S[2]
|
||
mov 16($aptr,$i),%rax # a[i+1] # prefetch
|
||
mov $S[2],16($tptr)
|
||
adc %rdx,$S[3]
|
||
mov $S[3],24($tptr)
|
||
sbb $carry,$carry # mov cf,$carry
|
||
lea 64($tptr),$tptr
|
||
add \$32,$i
|
||
jnz .Lsqr4x_shift_n_add
|
||
|
||
lea ($shift,$A0[0],2),$S[0] # t[2*i]<<1 | shift
|
||
shr \$63,$A0[0]
|
||
lea ($j,$A0[1],2),$S[1] # t[2*i+1]<<1 |
|
||
shr \$63,$A0[1]
|
||
or $A0[0],$S[1] # | t[2*i]>>63
|
||
mov -16($tptr),$A0[0] # t[2*i+2] # prefetch
|
||
mov $A0[1],$shift # shift=t[2*i+1]>>63
|
||
mul %rax # a[i]*a[i]
|
||
neg $carry # mov $carry,cf
|
||
mov -8($tptr),$A0[1] # t[2*i+2+1] # prefetch
|
||
adc %rax,$S[0]
|
||
mov -8($aptr),%rax # a[i+1] # prefetch
|
||
mov $S[0],-32($tptr)
|
||
adc %rdx,$S[1]
|
||
|
||
lea ($shift,$A0[0],2),$S[2] # t[2*i]<<1|shift
|
||
mov $S[1],-24($tptr)
|
||
sbb $carry,$carry # mov cf,$carry
|
||
shr \$63,$A0[0]
|
||
lea ($j,$A0[1],2),$S[3] # t[2*i+1]<<1 |
|
||
shr \$63,$A0[1]
|
||
or $A0[0],$S[3] # | t[2*i]>>63
|
||
mul %rax # a[i]*a[i]
|
||
neg $carry # mov $carry,cf
|
||
adc %rax,$S[2]
|
||
adc %rdx,$S[3]
|
||
mov $S[2],-16($tptr)
|
||
mov $S[3],-8($tptr)
|
||
___
|
||
}
|
||
######################################################################
|
||
# Montgomery reduction part, "word-by-word" algorithm.
|
||
#
|
||
# This new path is inspired by multiple submissions from Intel, by
|
||
# Shay Gueron, Vlad Krasnov, Erdinc Ozturk, James Guilford,
|
||
# Vinodh Gopal...
|
||
{
|
||
my ($nptr,$tptr,$carry,$m0)=("%rbp","%rdi","%rsi","%rbx");
|
||
|
||
$code.=<<___;
|
||
mov 40(%rsp),$nptr # pull $nptr
|
||
xor %rax,%rax
|
||
lea ($nptr,$num),%rdx # end of n[]
|
||
lea 64(%rsp,$num,2),$tptr # end of t[] buffer
|
||
mov %rdx,0(%rsp)
|
||
mov $tptr,8(%rsp)
|
||
mov %rax,($tptr) # clear top-most carry bit
|
||
lea 64(%rsp,$num),$tptr # end of initial t[] window
|
||
neg $num
|
||
jmp .L8x_reduction_loop
|
||
|
||
.align 32
|
||
.L8x_reduction_loop:
|
||
lea ($tptr,$num),$tptr # start of current t[] window
|
||
mov 8*0($tptr),$m0
|
||
mov 8*1($tptr),%r9
|
||
mov 8*2($tptr),%r10
|
||
mov 8*3($tptr),%r11
|
||
mov 8*4($tptr),%r12
|
||
mov 8*5($tptr),%r13
|
||
mov 8*6($tptr),%r14
|
||
mov 8*7($tptr),%r15
|
||
lea 8*8($tptr),$tptr
|
||
|
||
mov $m0,%r8
|
||
imulq 48(%rsp),$m0 # n0*a[0]
|
||
mov 8*0($nptr),%rax # n[0]
|
||
mov \$8,%ecx
|
||
jmp .L8x_reduce
|
||
|
||
.align 32
|
||
.L8x_reduce:
|
||
mulq $m0
|
||
mov 8*1($nptr),%rax # n[1]
|
||
neg %r8
|
||
mov %rdx,%r8
|
||
adc \$0,%r8
|
||
|
||
mulq $m0
|
||
add %rax,%r9
|
||
mov 8*2($nptr),%rax
|
||
adc \$0,%rdx
|
||
add %r9,%r8
|
||
mov $m0,64-8(%rsp,%rcx,8) # put aside n0*a[i]
|
||
mov %rdx,%r9
|
||
adc \$0,%r9
|
||
|
||
mulq $m0
|
||
add %rax,%r10
|
||
mov 8*3($nptr),%rax
|
||
adc \$0,%rdx
|
||
add %r10,%r9
|
||
mov 48(%rsp),$carry # pull n0, borrow $carry
|
||
mov %rdx,%r10
|
||
adc \$0,%r10
|
||
|
||
mulq $m0
|
||
add %rax,%r11
|
||
mov 8*4($nptr),%rax
|
||
adc \$0,%rdx
|
||
imulq %r8,$carry # modulo-scheduled
|
||
add %r11,%r10
|
||
mov %rdx,%r11
|
||
adc \$0,%r11
|
||
|
||
mulq $m0
|
||
add %rax,%r12
|
||
mov 8*5($nptr),%rax
|
||
adc \$0,%rdx
|
||
add %r12,%r11
|
||
mov %rdx,%r12
|
||
adc \$0,%r12
|
||
|
||
mulq $m0
|
||
add %rax,%r13
|
||
mov 8*6($nptr),%rax
|
||
adc \$0,%rdx
|
||
add %r13,%r12
|
||
mov %rdx,%r13
|
||
adc \$0,%r13
|
||
|
||
mulq $m0
|
||
add %rax,%r14
|
||
mov 8*7($nptr),%rax
|
||
adc \$0,%rdx
|
||
add %r14,%r13
|
||
mov %rdx,%r14
|
||
adc \$0,%r14
|
||
|
||
mulq $m0
|
||
mov $carry,$m0 # n0*a[i]
|
||
add %rax,%r15
|
||
mov 8*0($nptr),%rax # n[0]
|
||
adc \$0,%rdx
|
||
add %r15,%r14
|
||
mov %rdx,%r15
|
||
adc \$0,%r15
|
||
|
||
dec %ecx
|
||
jnz .L8x_reduce
|
||
|
||
lea 8*8($nptr),$nptr
|
||
xor %rax,%rax
|
||
mov 8(%rsp),%rdx # pull end of t[]
|
||
cmp 0(%rsp),$nptr # end of n[]?
|
||
jae .L8x_no_tail
|
||
|
||
add 8*0($tptr),%r8
|
||
adc 8*1($tptr),%r9
|
||
adc 8*2($tptr),%r10
|
||
adc 8*3($tptr),%r11
|
||
adc 8*4($tptr),%r12
|
||
adc 8*5($tptr),%r13
|
||
adc 8*6($tptr),%r14
|
||
adc 8*7($tptr),%r15
|
||
sbb $carry,$carry # top carry
|
||
|
||
mov 64+56(%rsp),$m0 # pull n0*a[0]
|
||
mov \$8,%ecx
|
||
mov 8*0($nptr),%rax
|
||
jmp .L8x_tail
|
||
|
||
.align 32
|
||
.L8x_tail:
|
||
mulq $m0
|
||
add %rax,%r8
|
||
mov 8*1($nptr),%rax
|
||
mov %r8,($tptr) # save result
|
||
mov %rdx,%r8
|
||
adc \$0,%r8
|
||
|
||
mulq $m0
|
||
add %rax,%r9
|
||
mov 8*2($nptr),%rax
|
||
adc \$0,%rdx
|
||
add %r9,%r8
|
||
lea 8($tptr),$tptr # $tptr++
|
||
mov %rdx,%r9
|
||
adc \$0,%r9
|
||
|
||
mulq $m0
|
||
add %rax,%r10
|
||
mov 8*3($nptr),%rax
|
||
adc \$0,%rdx
|
||
add %r10,%r9
|
||
mov %rdx,%r10
|
||
adc \$0,%r10
|
||
|
||
mulq $m0
|
||
add %rax,%r11
|
||
mov 8*4($nptr),%rax
|
||
adc \$0,%rdx
|
||
add %r11,%r10
|
||
mov %rdx,%r11
|
||
adc \$0,%r11
|
||
|
||
mulq $m0
|
||
add %rax,%r12
|
||
mov 8*5($nptr),%rax
|
||
adc \$0,%rdx
|
||
add %r12,%r11
|
||
mov %rdx,%r12
|
||
adc \$0,%r12
|
||
|
||
mulq $m0
|
||
add %rax,%r13
|
||
mov 8*6($nptr),%rax
|
||
adc \$0,%rdx
|
||
add %r13,%r12
|
||
mov %rdx,%r13
|
||
adc \$0,%r13
|
||
|
||
mulq $m0
|
||
add %rax,%r14
|
||
mov 8*7($nptr),%rax
|
||
adc \$0,%rdx
|
||
add %r14,%r13
|
||
mov %rdx,%r14
|
||
adc \$0,%r14
|
||
|
||
mulq $m0
|
||
mov 64-16(%rsp,%rcx,8),$m0 # pull n0*a[i]
|
||
add %rax,%r15
|
||
adc \$0,%rdx
|
||
add %r15,%r14
|
||
mov 8*0($nptr),%rax # pull n[0]
|
||
mov %rdx,%r15
|
||
adc \$0,%r15
|
||
|
||
dec %ecx
|
||
jnz .L8x_tail
|
||
|
||
lea 8*8($nptr),$nptr
|
||
mov 8(%rsp),%rdx # pull end of t[]
|
||
cmp 0(%rsp),$nptr # end of n[]?
|
||
jae .L8x_tail_done # break out of loop
|
||
|
||
mov 64+56(%rsp),$m0 # pull n0*a[0]
|
||
neg $carry
|
||
mov 8*0($nptr),%rax # pull n[0]
|
||
adc 8*0($tptr),%r8
|
||
adc 8*1($tptr),%r9
|
||
adc 8*2($tptr),%r10
|
||
adc 8*3($tptr),%r11
|
||
adc 8*4($tptr),%r12
|
||
adc 8*5($tptr),%r13
|
||
adc 8*6($tptr),%r14
|
||
adc 8*7($tptr),%r15
|
||
sbb $carry,$carry # top carry
|
||
|
||
mov \$8,%ecx
|
||
jmp .L8x_tail
|
||
|
||
.align 32
|
||
.L8x_tail_done:
|
||
add (%rdx),%r8 # can this overflow?
|
||
xor %rax,%rax
|
||
|
||
neg $carry
|
||
.L8x_no_tail:
|
||
adc 8*0($tptr),%r8
|
||
adc 8*1($tptr),%r9
|
||
adc 8*2($tptr),%r10
|
||
adc 8*3($tptr),%r11
|
||
adc 8*4($tptr),%r12
|
||
adc 8*5($tptr),%r13
|
||
adc 8*6($tptr),%r14
|
||
adc 8*7($tptr),%r15
|
||
adc \$0,%rax # top-most carry
|
||
|
||
mov 40(%rsp),$nptr # restore $nptr
|
||
|
||
mov %r8,8*0($tptr) # store top 512 bits
|
||
mov %r9,8*1($tptr)
|
||
mov $nptr,$num # $num is %r9, can't be moved upwards
|
||
mov %r10,8*2($tptr)
|
||
sub 0(%rsp),$num # -$num
|
||
mov %r11,8*3($tptr)
|
||
mov %r12,8*4($tptr)
|
||
mov %r13,8*5($tptr)
|
||
mov %r14,8*6($tptr)
|
||
mov %r15,8*7($tptr)
|
||
lea 8*8($tptr),$tptr
|
||
mov %rax,(%rdx) # store top-most carry
|
||
|
||
cmp %rdx,$tptr # end of t[]?
|
||
jb .L8x_reduction_loop
|
||
|
||
neg $num # restore $num
|
||
___
|
||
}
|
||
##############################################################
|
||
# Post-condition, 4x unrolled copy from bn_mul_mont
|
||
#
|
||
{
|
||
my ($tptr,$nptr)=("%rbx",$aptr);
|
||
my @ri=("%rax","%rdx","%r10","%r11");
|
||
$code.=<<___;
|
||
mov 64(%rsp,$num),@ri[0] # tp[0]
|
||
lea 64(%rsp,$num),$tptr # upper half of t[2*$num] holds result
|
||
mov 40(%rsp),$nptr # restore $nptr
|
||
shr \$5,$num # num/4
|
||
mov 8($tptr),@ri[1] # t[1]
|
||
xor $i,$i # i=0 and clear CF!
|
||
|
||
mov 32(%rsp),$rptr # restore $rptr
|
||
sub 0($nptr),@ri[0]
|
||
mov 16($tptr),@ri[2] # t[2]
|
||
mov 24($tptr),@ri[3] # t[3]
|
||
sbb 8($nptr),@ri[1]
|
||
lea -1($num),$j # j=num/4-1
|
||
jmp .Lsqr4x_sub
|
||
.align 32
|
||
.Lsqr4x_sub:
|
||
mov @ri[0],0($rptr) # rp[i]=tp[i]-np[i]
|
||
mov @ri[1],8($rptr) # rp[i]=tp[i]-np[i]
|
||
sbb 16($nptr,$i,8),@ri[2]
|
||
mov 32($tptr,$i,8),@ri[0] # tp[i+1]
|
||
mov 40($tptr,$i,8),@ri[1]
|
||
sbb 24($nptr,$i,8),@ri[3]
|
||
mov @ri[2],16($rptr) # rp[i]=tp[i]-np[i]
|
||
mov @ri[3],24($rptr) # rp[i]=tp[i]-np[i]
|
||
lea 32($rptr),$rptr
|
||
sbb 32($nptr,$i,8),@ri[0]
|
||
mov 48($tptr,$i,8),@ri[2]
|
||
mov 56($tptr,$i,8),@ri[3]
|
||
sbb 40($nptr,$i,8),@ri[1]
|
||
lea 4($i),$i # i++
|
||
dec $j # doesn't affect CF!
|
||
jnz .Lsqr4x_sub
|
||
|
||
mov @ri[0],0($rptr) # rp[i]=tp[i]-np[i]
|
||
mov 32($tptr,$i,8),@ri[0] # load overflow bit
|
||
sbb 16($nptr,$i,8),@ri[2]
|
||
mov @ri[1],8($rptr) # rp[i]=tp[i]-np[i]
|
||
sbb 24($nptr,$i,8),@ri[3]
|
||
mov @ri[2],16($rptr) # rp[i]=tp[i]-np[i]
|
||
|
||
sbb \$0,@ri[0] # handle upmost overflow bit
|
||
mov @ri[3],24($rptr) # rp[i]=tp[i]-np[i]
|
||
mov 32(%rsp),$rptr # restore $rptr
|
||
xor $i,$i # i=0
|
||
and @ri[0],$tptr
|
||
not @ri[0]
|
||
mov $rptr,$nptr
|
||
and @ri[0],$nptr
|
||
lea -1($num),$j
|
||
or $nptr,$tptr # tp=borrow?tp:rp
|
||
|
||
pxor %xmm0,%xmm0
|
||
lea 64(%rsp,$num,8),$nptr
|
||
movdqu ($tptr),%xmm1
|
||
lea ($nptr,$num,8),$nptr
|
||
movdqa %xmm0,64(%rsp) # zap lower half of temporary vector
|
||
movdqa %xmm0,($nptr) # zap upper half of temporary vector
|
||
movdqu %xmm1,($rptr)
|
||
jmp .Lsqr4x_copy
|
||
.align 32
|
||
.Lsqr4x_copy: # copy or in-place refresh
|
||
movdqu 16($tptr,$i),%xmm2
|
||
movdqu 32($tptr,$i),%xmm1
|
||
movdqa %xmm0,80(%rsp,$i) # zap lower half of temporary vector
|
||
movdqa %xmm0,96(%rsp,$i) # zap lower half of temporary vector
|
||
movdqa %xmm0,16($nptr,$i) # zap upper half of temporary vector
|
||
movdqa %xmm0,32($nptr,$i) # zap upper half of temporary vector
|
||
movdqu %xmm2,16($rptr,$i)
|
||
movdqu %xmm1,32($rptr,$i)
|
||
lea 32($i),$i
|
||
dec $j
|
||
jnz .Lsqr4x_copy
|
||
|
||
movdqu 16($tptr,$i),%xmm2
|
||
movdqa %xmm0,80(%rsp,$i) # zap lower half of temporary vector
|
||
movdqa %xmm0,16($nptr,$i) # zap upper half of temporary vector
|
||
movdqu %xmm2,16($rptr,$i)
|
||
___
|
||
}
|
||
$code.=<<___;
|
||
mov 56(%rsp),%rsi # restore %rsp
|
||
mov \$1,%rax
|
||
mov 0(%rsi),%r15
|
||
mov 8(%rsi),%r14
|
||
mov 16(%rsi),%r13
|
||
mov 24(%rsi),%r12
|
||
mov 32(%rsi),%rbp
|
||
mov 40(%rsi),%rbx
|
||
lea 48(%rsi),%rsp
|
||
.Lsqr8x_epilogue:
|
||
ret
|
||
.size bn_sqr8x_mont,.-bn_sqr8x_mont
|
||
___
|
||
}}}
|
||
|
||
if ($addx) {{{
|
||
my $bp="%rdx"; # original value
|
||
|
||
$code.=<<___;
|
||
.type bn_mulx4x_mont,\@function,6
|
||
.align 32
|
||
bn_mulx4x_mont:
|
||
.Lmulx4x_enter:
|
||
push %rbx
|
||
push %rbp
|
||
push %r12
|
||
push %r13
|
||
push %r14
|
||
push %r15
|
||
|
||
shl \$3,${num}d # convert $num to bytes
|
||
.byte 0x67
|
||
xor %r10,%r10
|
||
mov %rsp,%r11 # put aside %rsp
|
||
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
|
||
# +48 inner counter
|
||
# +56 saved %rsp
|
||
# +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 $num,48(%rsp) # inner counter
|
||
mov %r11,56(%rsp) # save original %rsp
|
||
jmp .Lmulx4x_body
|
||
|
||
.align 32
|
||
.Lmulx4x_body:
|
||
___
|
||
my ($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 0x66,0x66
|
||
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
|
||
sub $num,$aptr # rewind $aptr
|
||
mov %r15,($tptr) # save top-most carry
|
||
mov 64(%rsp),%r10
|
||
lea 64(%rsp),$tptr
|
||
sub $num,$nptr # rewind $nptr
|
||
xor $zero,$zero # cf=0, of=0
|
||
mov %rdx,$bi
|
||
|
||
mulx 0*8($aptr),$mi,%rax # a[0]*b[i]
|
||
adox %r10,$mi
|
||
mov 1*8($tptr),%r10
|
||
mulx 1*8($aptr),%r11,%r14 # a[1]*b[i]
|
||
adcx %rax,%r11
|
||
mov $bptr,8(%rsp) # off-load &b[i]
|
||
mulx 2*8($aptr),%r12,%r13 # ...
|
||
adox %r10,%r11
|
||
adcx %r14,%r12
|
||
adox $zero,%r12
|
||
.byte 0x66,0x66
|
||
adcx $zero,%r13
|
||
mov 2*8($tptr),%r10
|
||
|
||
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 $mi,%rdx
|
||
adox %r10,%r12
|
||
adcx %rax,%r13
|
||
adox 3*8($tptr),%r13
|
||
adcx $zero,%r14
|
||
lea 4*8($aptr),$aptr
|
||
lea 4*8($tptr),$tptr
|
||
adox $zero,%r14
|
||
|
||
mulx 0*8($nptr),%rax,%r10
|
||
adcx %rax,$bptr # discarded
|
||
adox %r11,%r10
|
||
mulx 1*8($nptr),%rax,%r11
|
||
adcx %rax,%r10
|
||
adox %r12,%r11
|
||
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)
|
||
adcx %rax,%r12
|
||
adox $zero,%r15 # of=0
|
||
mov 48(%rsp),$bptr # counter value
|
||
mov %r12,-2*8($tptr)
|
||
.byte 0x66
|
||
lea 4*8($nptr),$nptr
|
||
|
||
#jmp .Lmulx4x_inner
|
||
|
||
.align 32
|
||
.Lmulx4x_inner:
|
||
adcx $zero,%r15 # cf=0, modulo-scheduled
|
||
adox 0*8($tptr),%r14
|
||
mulx 0*8($aptr),%r10,%rax # a[4]*b[i]
|
||
adcx %r14,%r10
|
||
mulx 1*8($aptr),%r11,%r14 # a[5]*b[i]
|
||
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),$zero # pull top-most carry
|
||
adc %r15,%r14
|
||
sbb %r15,%r15 # top-most carry
|
||
mov %r14,-1*8($tptr)
|
||
|
||
cmp 16(%rsp),$bptr
|
||
jne .Lmulx4x_outer
|
||
|
||
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 56(%rsp),%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
|
||
.Lmulx4x_epilogue:
|
||
ret
|
||
.size bn_mulx4x_mont,.-bn_mulx4x_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");
|
||
|
||
$code.=<<___;
|
||
.type bn_sqrx8x_mont,\@function,6
|
||
.align 32
|
||
bn_sqrx8x_mont:
|
||
.Lsqrx8x_enter:
|
||
push %rbx
|
||
push %rbp
|
||
push %r12
|
||
push %r13
|
||
push %r14
|
||
push %r15
|
||
|
||
shl \$3,${num}d # convert $num to bytes
|
||
.byte 0x67
|
||
xor %r10,%r10
|
||
mov %rsp,%r11 # put aside %rsp
|
||
sub $num,%r10 # -$num
|
||
mov ($n0),$n0 # *n0
|
||
lea -64(%rsp,%r10,2),%rsp # alloca(frame+2*$num)
|
||
and \$-1024,%rsp # minimize TLB usage
|
||
##############################################################
|
||
# Stack layout
|
||
#
|
||
# +0 saved $num, used in reduction section
|
||
# +8 &t[2*$num], used in reduction section
|
||
# +16 intermediate carry bit
|
||
# +24 top-most carry bit, used in reduction section
|
||
# +32 saved *n0
|
||
# +48 t[2*$num]
|
||
#
|
||
movq $rptr,%xmm1 # save $rptr
|
||
movq $nptr,%xmm2 # save $nptr
|
||
movq %r10, %xmm3 # -$num
|
||
movq %r11, %xmm4 # save original %rsp
|
||
mov $n0, 32(%rsp)
|
||
___
|
||
$code.=<<___ if ($win64);
|
||
jmp .Lsqrx8x_body
|
||
.align 32
|
||
___
|
||
$code.=<<___;
|
||
.Lsqrx8x_body:
|
||
##################################################################
|
||
# Squaring part:
|
||
#
|
||
# a) multiply-n-add everything but a[i]*a[i];
|
||
# b) shift result of a) by 1 to the left and accumulate
|
||
# a[i]*a[i] products;
|
||
#
|
||
##################################################################
|
||
# a[7]a[7]a[6]a[6]a[5]a[5]a[4]a[4]a[3]a[3]a[2]a[2]a[1]a[1]a[0]a[0]
|
||
# a[1]a[0]
|
||
# a[2]a[0]
|
||
# a[3]a[0]
|
||
# a[2]a[1]
|
||
# a[3]a[1]
|
||
# a[3]a[2]
|
||
#
|
||
# a[4]a[0]
|
||
# a[5]a[0]
|
||
# a[6]a[0]
|
||
# a[7]a[0]
|
||
# a[4]a[1]
|
||
# a[5]a[1]
|
||
# a[6]a[1]
|
||
# a[7]a[1]
|
||
# a[4]a[2]
|
||
# a[5]a[2]
|
||
# a[6]a[2]
|
||
# a[7]a[2]
|
||
# a[4]a[3]
|
||
# a[5]a[3]
|
||
# a[6]a[3]
|
||
# a[7]a[3]
|
||
#
|
||
# a[5]a[4]
|
||
# a[6]a[4]
|
||
# a[7]a[4]
|
||
# a[6]a[5]
|
||
# a[7]a[5]
|
||
# a[7]a[6]
|
||
# a[7]a[7]a[6]a[6]a[5]a[5]a[4]a[4]a[3]a[3]a[2]a[2]a[1]a[1]a[0]a[0]
|
||
___
|
||
{
|
||
my ($zero,$carry)=("%rbp","%rcx");
|
||
my $aaptr=$zero;
|
||
$code.=<<___;
|
||
pxor %xmm0,%xmm0
|
||
lea 48(%rsp),$tptr
|
||
lea ($aptr,$num),$aaptr
|
||
mov $num,(%rsp) # save $num
|
||
mov $aaptr,8(%rsp) # save end of $aptr
|
||
jmp .Lsqr8x_zero_start
|
||
|
||
.align 32
|
||
.byte 0x66,0x66,0x66,0x2e,0x0f,0x1f,0x84,0x00,0x00,0x00,0x00,0x00
|
||
.Lsqrx8x_zero:
|
||
.byte 0x3e
|
||
movdqa %xmm0,0*8($tptr)
|
||
movdqa %xmm0,2*8($tptr)
|
||
movdqa %xmm0,4*8($tptr)
|
||
movdqa %xmm0,6*8($tptr)
|
||
.Lsqr8x_zero_start: # aligned at 32
|
||
movdqa %xmm0,8*8($tptr)
|
||
movdqa %xmm0,10*8($tptr)
|
||
movdqa %xmm0,12*8($tptr)
|
||
movdqa %xmm0,14*8($tptr)
|
||
lea 16*8($tptr),$tptr
|
||
sub \$64,$num
|
||
jnz .Lsqrx8x_zero
|
||
|
||
mov 0*8($aptr),%rdx # a[0], modulo-scheduled
|
||
#xor %r9,%r9 # t[1], ex-$num, zero already
|
||
xor %r10,%r10
|
||
xor %r11,%r11
|
||
xor %r12,%r12
|
||
xor %r13,%r13
|
||
xor %r14,%r14
|
||
xor %r15,%r15
|
||
lea 48(%rsp),$tptr
|
||
xor $zero,$zero # cf=0, cf=0
|
||
jmp .Lsqrx8x_outer_loop
|
||
|
||
.align 32
|
||
.Lsqrx8x_outer_loop:
|
||
mulx 1*8($aptr),%r8,%rax # a[1]*a[0]
|
||
adcx %r9,%r8 # a[1]*a[0]+=t[1]
|
||
adox %rax,%r10
|
||
mulx 2*8($aptr),%r9,%rax # a[2]*a[0]
|
||
adcx %r10,%r9
|
||
adox %rax,%r11
|
||
.byte 0xc4,0xe2,0xab,0xf6,0x86,0x18,0x00,0x00,0x00 # mulx 3*8($aptr),%r10,%rax # ...
|
||
adcx %r11,%r10
|
||
adox %rax,%r12
|
||
.byte 0xc4,0xe2,0xa3,0xf6,0x86,0x20,0x00,0x00,0x00 # mulx 4*8($aptr),%r11,%rax
|
||
adcx %r12,%r11
|
||
adox %rax,%r13
|
||
mulx 5*8($aptr),%r12,%rax
|
||
adcx %r13,%r12
|
||
adox %rax,%r14
|
||
mulx 6*8($aptr),%r13,%rax
|
||
adcx %r14,%r13
|
||
adox %r15,%rax
|
||
mulx 7*8($aptr),%r14,%r15
|
||
mov 1*8($aptr),%rdx # a[1]
|
||
adcx %rax,%r14
|
||
adox $zero,%r15
|
||
adc 8*8($tptr),%r15
|
||
mov %r8,1*8($tptr) # t[1]
|
||
mov %r9,2*8($tptr) # t[2]
|
||
sbb $carry,$carry # mov %cf,$carry
|
||
xor $zero,$zero # cf=0, of=0
|
||
|
||
|
||
mulx 2*8($aptr),%r8,%rbx # a[2]*a[1]
|
||
mulx 3*8($aptr),%r9,%rax # a[3]*a[1]
|
||
adcx %r10,%r8
|
||
adox %rbx,%r9
|
||
mulx 4*8($aptr),%r10,%rbx # ...
|
||
adcx %r11,%r9
|
||
adox %rax,%r10
|
||
.byte 0xc4,0xe2,0xa3,0xf6,0x86,0x28,0x00,0x00,0x00 # mulx 5*8($aptr),%r11,%rax
|
||
adcx %r12,%r10
|
||
adox %rbx,%r11
|
||
.byte 0xc4,0xe2,0x9b,0xf6,0x9e,0x30,0x00,0x00,0x00 # mulx 6*8($aptr),%r12,%rbx
|
||
adcx %r13,%r11
|
||
adox %r14,%r12
|
||
.byte 0xc4,0x62,0x93,0xf6,0xb6,0x38,0x00,0x00,0x00 # mulx 7*8($aptr),%r13,%r14
|
||
mov 2*8($aptr),%rdx # a[2]
|
||
adcx %rax,%r12
|
||
adox %rbx,%r13
|
||
adcx %r15,%r13
|
||
adox $zero,%r14 # of=0
|
||
adcx $zero,%r14 # cf=0
|
||
|
||
mov %r8,3*8($tptr) # t[3]
|
||
mov %r9,4*8($tptr) # t[4]
|
||
|
||
mulx 3*8($aptr),%r8,%rbx # a[3]*a[2]
|
||
mulx 4*8($aptr),%r9,%rax # a[4]*a[2]
|
||
adcx %r10,%r8
|
||
adox %rbx,%r9
|
||
mulx 5*8($aptr),%r10,%rbx # ...
|
||
adcx %r11,%r9
|
||
adox %rax,%r10
|
||
.byte 0xc4,0xe2,0xa3,0xf6,0x86,0x30,0x00,0x00,0x00 # mulx 6*8($aptr),%r11,%rax
|
||
adcx %r12,%r10
|
||
adox %r13,%r11
|
||
.byte 0xc4,0x62,0x9b,0xf6,0xae,0x38,0x00,0x00,0x00 # mulx 7*8($aptr),%r12,%r13
|
||
.byte 0x3e
|
||
mov 3*8($aptr),%rdx # a[3]
|
||
adcx %rbx,%r11
|
||
adox %rax,%r12
|
||
adcx %r14,%r12
|
||
mov %r8,5*8($tptr) # t[5]
|
||
mov %r9,6*8($tptr) # t[6]
|
||
mulx 4*8($aptr),%r8,%rax # a[4]*a[3]
|
||
adox $zero,%r13 # of=0
|
||
adcx $zero,%r13 # cf=0
|
||
|
||
mulx 5*8($aptr),%r9,%rbx # a[5]*a[3]
|
||
adcx %r10,%r8
|
||
adox %rax,%r9
|
||
mulx 6*8($aptr),%r10,%rax # ...
|
||
adcx %r11,%r9
|
||
adox %r12,%r10
|
||
mulx 7*8($aptr),%r11,%r12
|
||
mov 4*8($aptr),%rdx # a[4]
|
||
mov 5*8($aptr),%r14 # a[5]
|
||
adcx %rbx,%r10
|
||
adox %rax,%r11
|
||
mov 6*8($aptr),%r15 # a[6]
|
||
adcx %r13,%r11
|
||
adox $zero,%r12 # of=0
|
||
adcx $zero,%r12 # cf=0
|
||
|
||
mov %r8,7*8($tptr) # t[7]
|
||
mov %r9,8*8($tptr) # t[8]
|
||
|
||
mulx %r14,%r9,%rax # a[5]*a[4]
|
||
mov 7*8($aptr),%r8 # a[7]
|
||
adcx %r10,%r9
|
||
mulx %r15,%r10,%rbx # a[6]*a[4]
|
||
adox %rax,%r10
|
||
adcx %r11,%r10
|
||
mulx %r8,%r11,%rax # a[7]*a[4]
|
||
mov %r14,%rdx # a[5]
|
||
adox %rbx,%r11
|
||
adcx %r12,%r11
|
||
#adox $zero,%rax # of=0
|
||
adcx $zero,%rax # cf=0
|
||
|
||
mulx %r15,%r14,%rbx # a[6]*a[5]
|
||
mulx %r8,%r12,%r13 # a[7]*a[5]
|
||
mov %r15,%rdx # a[6]
|
||
lea 8*8($aptr),$aptr
|
||
adcx %r14,%r11
|
||
adox %rbx,%r12
|
||
adcx %rax,%r12
|
||
adox $zero,%r13
|
||
|
||
.byte 0x67,0x67
|
||
mulx %r8,%r8,%r14 # a[7]*a[6]
|
||
adcx %r8,%r13
|
||
adcx $zero,%r14
|
||
|
||
cmp 8(%rsp),$aptr
|
||
je .Lsqrx8x_outer_break
|
||
|
||
neg $carry # mov $carry,%cf
|
||
mov \$-8,%rcx
|
||
mov $zero,%r15
|
||
mov 8*8($tptr),%r8
|
||
adcx 9*8($tptr),%r9 # +=t[9]
|
||
adcx 10*8($tptr),%r10 # ...
|
||
adcx 11*8($tptr),%r11
|
||
adc 12*8($tptr),%r12
|
||
adc 13*8($tptr),%r13
|
||
adc 14*8($tptr),%r14
|
||
adc 15*8($tptr),%r15
|
||
lea ($aptr),$aaptr
|
||
lea 2*8*8($tptr),$tptr
|
||
sbb %rax,%rax # mov %cf,$carry
|
||
|
||
mov -64($aptr),%rdx # a[0]
|
||
mov %rax,16(%rsp) # offload $carry
|
||
mov $tptr,24(%rsp)
|
||
|
||
#lea 8*8($tptr),$tptr # see 2*8*8($tptr) above
|
||
xor %eax,%eax # cf=0, of=0
|
||
jmp .Lsqrx8x_loop
|
||
|
||
.align 32
|
||
.Lsqrx8x_loop:
|
||
mov %r8,%rbx
|
||
mulx 0*8($aaptr),%rax,%r8 # a[8]*a[i]
|
||
adcx %rax,%rbx # +=t[8]
|
||
adox %r9,%r8
|
||
|
||
mulx 1*8($aaptr),%rax,%r9 # ...
|
||
adcx %rax,%r8
|
||
adox %r10,%r9
|
||
|
||
mulx 2*8($aaptr),%rax,%r10
|
||
adcx %rax,%r9
|
||
adox %r11,%r10
|
||
|
||
mulx 3*8($aaptr),%rax,%r11
|
||
adcx %rax,%r10
|
||
adox %r12,%r11
|
||
|
||
.byte 0xc4,0x62,0xfb,0xf6,0xa5,0x20,0x00,0x00,0x00 # mulx 4*8($aaptr),%rax,%r12
|
||
adcx %rax,%r11
|
||
adox %r13,%r12
|
||
|
||
mulx 5*8($aaptr),%rax,%r13
|
||
adcx %rax,%r12
|
||
adox %r14,%r13
|
||
|
||
mulx 6*8($aaptr),%rax,%r14
|
||
mov %rbx,($tptr,%rcx,8) # store t[8+i]
|
||
mov \$0,%ebx
|
||
adcx %rax,%r13
|
||
adox %r15,%r14
|
||
|
||
.byte 0xc4,0x62,0xfb,0xf6,0xbd,0x38,0x00,0x00,0x00 # mulx 7*8($aaptr),%rax,%r15
|
||
mov 8($aptr,%rcx,8),%rdx # a[i]
|
||
adcx %rax,%r14
|
||
adox %rbx,%r15 # %rbx is 0, of=0
|
||
adcx %rbx,%r15 # cf=0
|
||
|
||
.byte 0x67
|
||
inc %rcx # of=0
|
||
jnz .Lsqrx8x_loop
|
||
|
||
lea 8*8($aaptr),$aaptr
|
||
mov \$-8,%rcx
|
||
cmp 8(%rsp),$aaptr # done?
|
||
je .Lsqrx8x_break
|
||
|
||
sub 16(%rsp),%rbx # mov 16(%rsp),%cf
|
||
.byte 0x66
|
||
mov -64($aptr),%rdx
|
||
adcx 0*8($tptr),%r8
|
||
adcx 1*8($tptr),%r9
|
||
adc 2*8($tptr),%r10
|
||
adc 3*8($tptr),%r11
|
||
adc 4*8($tptr),%r12
|
||
adc 5*8($tptr),%r13
|
||
adc 6*8($tptr),%r14
|
||
adc 7*8($tptr),%r15
|
||
lea 8*8($tptr),$tptr
|
||
.byte 0x67
|
||
sbb %rax,%rax # mov %cf,%rax
|
||
xor %ebx,%ebx # cf=0, of=0
|
||
mov %rax,16(%rsp) # offload carry
|
||
jmp .Lsqrx8x_loop
|
||
|
||
.align 32
|
||
.Lsqrx8x_break:
|
||
sub 16(%rsp),%r8 # consume last carry
|
||
mov 24(%rsp),$carry # initial $tptr, borrow $carry
|
||
mov 0*8($aptr),%rdx # a[8], modulo-scheduled
|
||
xor %ebp,%ebp # xor $zero,$zero
|
||
mov %r8,0*8($tptr)
|
||
cmp $carry,$tptr # cf=0, of=0
|
||
je .Lsqrx8x_outer_loop
|
||
|
||
mov %r9,1*8($tptr)
|
||
mov 1*8($carry),%r9
|
||
mov %r10,2*8($tptr)
|
||
mov 2*8($carry),%r10
|
||
mov %r11,3*8($tptr)
|
||
mov 3*8($carry),%r11
|
||
mov %r12,4*8($tptr)
|
||
mov 4*8($carry),%r12
|
||
mov %r13,5*8($tptr)
|
||
mov 5*8($carry),%r13
|
||
mov %r14,6*8($tptr)
|
||
mov 6*8($carry),%r14
|
||
mov %r15,7*8($tptr)
|
||
mov 7*8($carry),%r15
|
||
mov $carry,$tptr
|
||
jmp .Lsqrx8x_outer_loop
|
||
|
||
.align 32
|
||
.Lsqrx8x_outer_break:
|
||
mov %r9,9*8($tptr) # t[9]
|
||
movq %xmm3,%rcx # -$num
|
||
mov %r10,10*8($tptr) # ...
|
||
mov %r11,11*8($tptr)
|
||
mov %r12,12*8($tptr)
|
||
mov %r13,13*8($tptr)
|
||
mov %r14,14*8($tptr)
|
||
___
|
||
} {
|
||
my $i="%rcx";
|
||
$code.=<<___;
|
||
lea 48(%rsp),$tptr
|
||
mov ($aptr,$i),%rdx # a[0]
|
||
|
||
mov 8($tptr),$A0[1] # t[1]
|
||
xor $A0[0],$A0[0] # t[0], of=0, cf=0
|
||
mov (%rsp),$num # restore $num
|
||
adox $A0[1],$A0[1]
|
||
mov 16($tptr),$A1[0] # t[2] # prefetch
|
||
mov 24($tptr),$A1[1] # t[3] # prefetch
|
||
nop
|
||
#jmp .Lsqrx4x_shift_n_add # happens to be aligned
|
||
|
||
.align 32
|
||
.Lsqrx4x_shift_n_add:
|
||
mulx %rdx,%rax,%rbx
|
||
adox $A1[0],$A1[0]
|
||
adcx $A0[0],%rax
|
||
.byte 0x48,0x8b,0x94,0x0e,0x08,0x00,0x00,0x00 # mov 8($aptr,$i),%rdx # a[i+1] # prefetch
|
||
.byte 0x4c,0x8b,0x97,0x20,0x00,0x00,0x00 # mov 32($tptr),$A0[0] # t[2*i+4] # prefetch
|
||
adox $A1[1],$A1[1]
|
||
adcx $A0[1],%rbx
|
||
mov 40($tptr),$A0[1] # t[2*i+4+1] # prefetch
|
||
mov %rax,0($tptr)
|
||
mov %rbx,8($tptr)
|
||
|
||
mulx %rdx,%rax,%rbx
|
||
adox $A0[0],$A0[0]
|
||
adcx $A1[0],%rax
|
||
mov 16($aptr,$i),%rdx # a[i+2] # prefetch
|
||
mov 48($tptr),$A1[0] # t[2*i+6] # prefetch
|
||
adox $A0[1],$A0[1]
|
||
adcx $A1[1],%rbx
|
||
mov 56($tptr),$A1[1] # t[2*i+6+1] # prefetch
|
||
mov %rax,16($tptr)
|
||
mov %rbx,24($tptr)
|
||
|
||
mulx %rdx,%rax,%rbx
|
||
adox $A1[0],$A1[0]
|
||
adcx $A0[0],%rax
|
||
mov 24($aptr,$i),%rdx # a[i+3] # prefetch
|
||
lea 32($i),$i
|
||
mov 64($tptr),$A0[0] # t[2*i+8] # prefetch
|
||
adox $A1[1],$A1[1]
|
||
adcx $A0[1],%rbx
|
||
mov 72($tptr),$A0[1] # t[2*i+8+1] # prefetch
|
||
mov %rax,32($tptr)
|
||
mov %rbx,40($tptr)
|
||
|
||
mulx %rdx,%rax,%rbx
|
||
adox $A0[0],$A0[0]
|
||
adcx $A1[0],%rax
|
||
jrcxz .Lsqrx4x_shift_n_add_break
|
||
.byte 0x48,0x8b,0x94,0x0e,0x00,0x00,0x00,0x00 # mov 0($aptr,$i),%rdx # a[i+4] # prefetch
|
||
adox $A0[1],$A0[1]
|
||
adcx $A1[1],%rbx
|
||
mov 80($tptr),$A1[0] # t[2*i+10] # prefetch
|
||
mov 88($tptr),$A1[1] # t[2*i+10+1] # prefetch
|
||
mov %rax,48($tptr)
|
||
mov %rbx,56($tptr)
|
||
lea 64($tptr),$tptr
|
||
nop
|
||
jmp .Lsqrx4x_shift_n_add
|
||
|
||
.align 32
|
||
.Lsqrx4x_shift_n_add_break:
|
||
adcx $A1[1],%rbx
|
||
mov %rax,48($tptr)
|
||
mov %rbx,56($tptr)
|
||
lea 64($tptr),$tptr # end of t[] buffer
|
||
___
|
||
}
|
||
######################################################################
|
||
# Montgomery reduction part, "word-by-word" algorithm.
|
||
#
|
||
# This new path is inspired by multiple submissions from Intel, by
|
||
# Shay Gueron, Vlad Krasnov, Erdinc Ozturk, James Guilford,
|
||
# Vinodh Gopal...
|
||
{
|
||
my ($nptr,$carry,$m0)=("%rbp","%rsi","%rdx");
|
||
|
||
$code.=<<___;
|
||
movq %xmm2,$nptr
|
||
xor %eax,%eax # initial top-most carry bit
|
||
mov 32(%rsp),%rbx # n0
|
||
mov 48(%rsp),%rdx # "%r8", 8*0($tptr)
|
||
lea -64($nptr,$num),%rcx # end of n[]
|
||
#lea 48(%rsp,$num,2),$tptr # end of t[] buffer
|
||
mov %rcx, 0(%rsp) # save end of n[]
|
||
mov $tptr,8(%rsp) # save end of t[]
|
||
|
||
lea 48(%rsp),$tptr # initial t[] window
|
||
jmp .Lsqrx8x_reduction_loop
|
||
|
||
.align 32
|
||
.Lsqrx8x_reduction_loop:
|
||
mov 8*1($tptr),%r9
|
||
mov 8*2($tptr),%r10
|
||
mov 8*3($tptr),%r11
|
||
mov 8*4($tptr),%r12
|
||
mov %rdx,%r8
|
||
imulq %rbx,%rdx # n0*a[i]
|
||
mov 8*5($tptr),%r13
|
||
mov 8*6($tptr),%r14
|
||
mov 8*7($tptr),%r15
|
||
mov %rax,24(%rsp) # store top-most carry bit
|
||
|
||
lea 8*8($tptr),$tptr
|
||
xor $carry,$carry # cf=0,of=0
|
||
mov \$-8,%rcx
|
||
jmp .Lsqrx8x_reduce
|
||
|
||
.align 32
|
||
.Lsqrx8x_reduce:
|
||
mov %r8, %rbx
|
||
mulx 8*0($nptr),%rax,%r8 # n[0]
|
||
adcx %rbx,%rax # discarded
|
||
adox %r9,%r8
|
||
|
||
mulx 8*1($nptr),%rbx,%r9 # n[1]
|
||
adcx %rbx,%r8
|
||
adox %r10,%r9
|
||
|
||
mulx 8*2($nptr),%rbx,%r10
|
||
adcx %rbx,%r9
|
||
adox %r11,%r10
|
||
|
||
mulx 8*3($nptr),%rbx,%r11
|
||
adcx %rbx,%r10
|
||
adox %r12,%r11
|
||
|
||
.byte 0xc4,0x62,0xe3,0xf6,0xa5,0x20,0x00,0x00,0x00 # mulx 8*4($nptr),%rbx,%r12
|
||
mov %rdx,%rax
|
||
mov %r8,%rdx
|
||
adcx %rbx,%r11
|
||
adox %r13,%r12
|
||
|
||
mulx 32(%rsp),%rbx,%rdx # %rdx discarded
|
||
mov %rax,%rdx
|
||
mov %rax,48+64(%rsp,%rcx,8) # put aside n0*a[i]
|
||
|
||
mulx 8*5($nptr),%rax,%r13
|
||
adcx %rax,%r12
|
||
adox %r14,%r13
|
||
|
||
mulx 8*6($nptr),%rax,%r14
|
||
adcx %rax,%r13
|
||
adox %r15,%r14
|
||
|
||
mulx 8*7($nptr),%rax,%r15
|
||
mov %rbx,%rdx
|
||
adcx %rax,%r14
|
||
adox $carry,%r15 # $carry is 0
|
||
adcx $carry,%r15 # cf=0
|
||
|
||
.byte 0x67
|
||
inc %rcx # of=0
|
||
jnz .Lsqrx8x_reduce
|
||
|
||
.byte 0x66,0x67
|
||
mov $carry,%rax # xor %rax,%rax
|
||
cmp 0(%rsp),$nptr # end of n[]?
|
||
jae .Lsqrx8x_no_tail
|
||
|
||
mov 48(%rsp),%rdx # pull n0*a[0]
|
||
add 8*0($tptr),%r8
|
||
lea 8*8($nptr),$nptr
|
||
mov \$-8,%rcx
|
||
adc 8*1($tptr),%r9
|
||
adc 8*2($tptr),%r10
|
||
adc 8*3($tptr),%r11
|
||
adc 8*4($tptr),%r12
|
||
adc 8*5($tptr),%r13
|
||
adc 8*6($tptr),%r14
|
||
adc 8*7($tptr),%r15
|
||
lea 8*8($tptr),$tptr
|
||
sbb %rax,%rax # top carry
|
||
|
||
xor $carry,$carry # of=0, cf=0
|
||
mov %rax,16(%rsp)
|
||
jmp .Lsqrx8x_tail
|
||
|
||
.align 32
|
||
.Lsqrx8x_tail:
|
||
mov %r8,%rbx
|
||
mulx 8*0($nptr),%rax,%r8
|
||
adcx %rax,%rbx
|
||
adox %r9,%r8
|
||
|
||
mulx 8*1($nptr),%rax,%r9
|
||
adcx %rax,%r8
|
||
adox %r10,%r9
|
||
|
||
mulx 8*2($nptr),%rax,%r10
|
||
adcx %rax,%r9
|
||
adox %r11,%r10
|
||
|
||
mulx 8*3($nptr),%rax,%r11
|
||
adcx %rax,%r10
|
||
adox %r12,%r11
|
||
|
||
.byte 0xc4,0x62,0xfb,0xf6,0xa5,0x20,0x00,0x00,0x00 # mulx 8*4($nptr),%rax,%r12
|
||
adcx %rax,%r11
|
||
adox %r13,%r12
|
||
|
||
mulx 8*5($nptr),%rax,%r13
|
||
adcx %rax,%r12
|
||
adox %r14,%r13
|
||
|
||
mulx 8*6($nptr),%rax,%r14
|
||
adcx %rax,%r13
|
||
adox %r15,%r14
|
||
|
||
mulx 8*7($nptr),%rax,%r15
|
||
mov 48+72(%rsp,%rcx,8),%rdx # pull n0*a[i]
|
||
adcx %rax,%r14
|
||
.byte 0x67
|
||
adox $carry,%r15
|
||
mov %rbx,($tptr,%rcx,8) # save result
|
||
mov %r8,%rbx
|
||
adcx $carry,%r15 # cf=0
|
||
|
||
inc %rcx # of=0
|
||
jnz .Lsqrx8x_tail
|
||
|
||
cmp 0(%rsp),$nptr # end of n[]?
|
||
jae .Lsqrx8x_tail_done # break out of loop
|
||
|
||
sub 16(%rsp),$carry # mov 16(%rsp),%cf
|
||
mov 48(%rsp),%rdx # pull n0*a[0]
|
||
lea 8*8($nptr),$nptr
|
||
adc 8*0($tptr),%r8
|
||
adc 8*1($tptr),%r9
|
||
adc 8*2($tptr),%r10
|
||
adc 8*3($tptr),%r11
|
||
adc 8*4($tptr),%r12
|
||
adc 8*5($tptr),%r13
|
||
adc 8*6($tptr),%r14
|
||
adc 8*7($tptr),%r15
|
||
lea 8*8($tptr),$tptr
|
||
mov \$-8,%rcx
|
||
sbb %rax,%rax
|
||
|
||
xor $carry,$carry # of=0, cf=0
|
||
mov %rax,16(%rsp)
|
||
jmp .Lsqrx8x_tail
|
||
|
||
.align 32
|
||
.Lsqrx8x_tail_done:
|
||
add 24(%rsp),%r8 # can this overflow?
|
||
mov $carry,%rax # xor %rax,%rax
|
||
|
||
sub 16(%rsp),$carry # mov 16(%rsp),%cf
|
||
.Lsqrx8x_no_tail: # %cf is 0 if jumped here
|
||
adc 8*0($tptr),%r8
|
||
movq %xmm3,%rcx
|
||
adc 8*1($tptr),%r9
|
||
movq %xmm2,$nptr # restore $nptr
|
||
adc 8*2($tptr),%r10
|
||
lea 8*8($tptr),$carry # borrow $carry
|
||
adc 8*3($tptr),%r11
|
||
adc 8*4($tptr),%r12
|
||
adc 8*5($tptr),%r13
|
||
adc 8*6($tptr),%r14
|
||
adc 8*7($tptr),%r15
|
||
adc %rax,%rax # top-most carry
|
||
|
||
mov 32(%rsp),%rbx # n0
|
||
mov 8*8($tptr,%rcx),%rdx # modulo-scheduled "%r8"
|
||
|
||
mov %r8,8*0($tptr) # store top 512 bits
|
||
mov %r9,8*1($tptr)
|
||
mov %r10,8*2($tptr)
|
||
mov %r11,8*3($tptr)
|
||
mov %r12,8*4($tptr)
|
||
mov %r13,8*5($tptr)
|
||
mov %r14,8*6($tptr)
|
||
mov %r15,8*7($tptr)
|
||
|
||
lea 8*8($tptr,%rcx),$tptr # start of current t[] window
|
||
cmp 8(%rsp),$carry # end of t[]?
|
||
jb .Lsqrx8x_reduction_loop
|
||
|
||
mov %rcx,%rdx # -$num
|
||
jmp .Lsqrx8x_post
|
||
___
|
||
}
|
||
##############################################################
|
||
# Post-condition, 8x unrolled
|
||
#
|
||
{
|
||
my ($rptr,$nptr,$lptr,$i)=($aptr,"%rbp","%rbx","%rcx");
|
||
my @ri=map("%r$_",(10..13));
|
||
my @ni=map("%r$_",(14..15));
|
||
$code.=<<___;
|
||
.align 32
|
||
.Lsqrx8x_post:
|
||
neg %rdx # restore $num
|
||
neg %rax # top-most carry as mask
|
||
mov 0*8($nptr),%r8
|
||
mov 1*8($nptr),%r9
|
||
lea ($nptr,%rdx),$nptr # end of $nptr
|
||
lea 48(%rsp,%rdx),$lptr # end of lower half of t[2*num]
|
||
lea 48(%rsp,%rdx),$tptr
|
||
.byte 0x67
|
||
xor %rdx,%rdx
|
||
movq %xmm1,$rptr # restore $rptr
|
||
|
||
neg %r8
|
||
jmp .Lsqrx8x_sub_entry
|
||
|
||
.byte 0x66,0x66,0x0f,0x1f,0x84,0x00,0x00,0x00,0x00,0x00
|
||
.Lsqrx8x_sub:
|
||
mov 0*8($nptr,$i),%r8
|
||
mov 1*8($nptr,$i),%r9
|
||
not %r8
|
||
.Lsqrx8x_sub_entry: # aligned at 32
|
||
mov 2*8($nptr,$i),%r10
|
||
not %r9
|
||
and %rax,%r8
|
||
mov 3*8($nptr,$i),%r11
|
||
not %r10
|
||
and %rax,%r9
|
||
mov 4*8($nptr,$i),%r12
|
||
not %r11
|
||
and %rax,%r10
|
||
mov 5*8($nptr,$i),%r13
|
||
not %r12
|
||
and %rax,%r11
|
||
mov 6*8($nptr,$i),%r14
|
||
not %r13
|
||
and %rax,%r12
|
||
mov 7*8($nptr,$i),%r15
|
||
not %r14
|
||
and %rax,%r13
|
||
movdqa %xmm0,0*8($lptr,$i) # zap lower half
|
||
not %r15
|
||
and %rax,%r14
|
||
movdqa %xmm0,2*8($lptr,$i)
|
||
and %rax,%r15
|
||
|
||
neg %edx # mov %edx,%cf
|
||
movdqa %xmm0,4*8($lptr,$i)
|
||
adc 0*8($tptr),%r8
|
||
mov %r8,0*8($rptr) # result
|
||
adc 1*8($tptr),%r9
|
||
movdqa %xmm0,6*8($lptr,$i)
|
||
adc 2*8($tptr),%r10
|
||
mov %r9,1*8($rptr)
|
||
adc 3*8($tptr),%r11
|
||
movdqa %xmm0,0*8($tptr) # zap upper half
|
||
adc 4*8($tptr),%r12
|
||
mov %r10,2*8($rptr)
|
||
adc 5*8($tptr),%r13
|
||
movdqa %xmm0,2*8($tptr)
|
||
adc 6*8($tptr),%r14
|
||
mov %r11,3*8($rptr)
|
||
adc 7*8($tptr),%r15
|
||
sbb %edx,%edx # mov %cf,%edx
|
||
movdqa %xmm0,4*8($tptr)
|
||
movdqa %xmm0,6*8($tptr)
|
||
lea 8*8($tptr),$tptr
|
||
mov %r12,4*8($rptr)
|
||
mov %r13,5*8($rptr)
|
||
mov %r14,6*8($rptr)
|
||
mov %r15,7*8($rptr)
|
||
lea 8*8($rptr),$rptr
|
||
|
||
add \$64,$i
|
||
jnz .Lsqrx8x_sub
|
||
___
|
||
}
|
||
$code.=<<___;
|
||
movq %xmm4,%rsi # restore %rsp
|
||
mov \$1,%rax
|
||
mov 0(%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
|
||
.Lsqrx8x_epilogue:
|
||
ret
|
||
.size bn_sqrx8x_mont,.-bn_sqrx8x_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
|
||
|
||
mov 4(%r11),%r10d # HandlerData[1]
|
||
lea (%rsi,%r10),%r10 # epilogue label
|
||
cmp %r10,%rbx # context->Rip>=epilogue label
|
||
jae .Lcommon_seh_tail
|
||
|
||
mov 192($context),%r10 # pull $num
|
||
mov 8(%rax,%r10,8),%rax # pull saved stack pointer
|
||
lea 48(%rax),%rax
|
||
|
||
mov -8(%rax),%rbx
|
||
mov -16(%rax),%rbp
|
||
mov -24(%rax),%r12
|
||
mov -32(%rax),%r13
|
||
mov -40(%rax),%r14
|
||
mov -48(%rax),%r15
|
||
mov %rbx,144($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($context) # restore context->R15
|
||
|
||
jmp .Lcommon_seh_tail
|
||
.size mul_handler,.-mul_handler
|
||
|
||
.type sqr_handler,\@abi-omnipotent
|
||
.align 16
|
||
sqr_handler:
|
||
push %rsi
|
||
push %rdi
|
||
push %rbx
|
||
push %rbp
|
||
push %r12
|
||
push %r13
|
||
push %r14
|
||
push %r15
|
||
pushfq
|
||
sub \$64,%rsp
|
||
|
||
mov 120($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 56(%rax),%rax # pull saved stack pointer
|
||
lea 48(%rax),%rax
|
||
|
||
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
|
||
|
||
.rva .LSEH_begin_bn_sqrx8x_mont
|
||
.rva .LSEH_end_bn_sqrx8x_mont
|
||
.rva .LSEH_info_bn_sqrx8x_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[]
|
||
.LSEH_info_bn_sqrx8x_mont:
|
||
.byte 9,0,0,0
|
||
.rva sqr_handler
|
||
.rva .Lsqrx8x_body,.Lsqrx8x_epilogue # HandlerData[]
|
||
___
|
||
}
|
||
|
||
print $code;
|
||
close STDOUT;
|