678948068b
-=-=-=-=-=-=-=-=-=-=-=-=-= -Begin work on Navigation Meshes (simple pathfinding for now, will improve soon) -More doc on theme overriding -Upgraded OpenSSL to version without bugs -Misc bugfixes
1072 lines
22 KiB
Perl
Executable File
1072 lines
22 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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# August 2011.
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#
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# Companion to x86_64-mont.pl that optimizes cache-timing attack
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# countermeasures. The subroutines are produced by replacing bp[i]
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# references in their x86_64-mont.pl counterparts with cache-neutral
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# references to powers table computed in BN_mod_exp_mont_consttime.
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# In addition subroutine that scatters elements of the powers table
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# is implemented, so that scatter-/gathering can be tuned without
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# bn_exp.c modifications.
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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 $output";
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*STDOUT=*OUT;
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# int bn_mul_mont_gather5(
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$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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# int idx); # 0 to 2^5-1, "index" in $bp holding
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# pre-computed powers of a', interlaced
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# in such manner that b[0] is $bp[idx],
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# b[1] is [2^5+idx], etc.
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$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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$code=<<___;
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.text
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.globl bn_mul_mont_gather5
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.type bn_mul_mont_gather5,\@function,6
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.align 64
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bn_mul_mont_gather5:
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test \$3,${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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jmp .Lmul4x_enter
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.align 16
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.Lmul_enter:
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mov ${num}d,${num}d
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mov `($win64?56:8)`(%rsp),%r10d # load 7th argument
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push %rbx
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push %rbp
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push %r12
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push %r13
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push %r14
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push %r15
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___
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$code.=<<___ if ($win64);
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lea -0x28(%rsp),%rsp
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movaps %xmm6,(%rsp)
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movaps %xmm7,0x10(%rsp)
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.Lmul_alloca:
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___
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$code.=<<___;
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mov %rsp,%rax
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lea 2($num),%r11
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neg %r11
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lea (%rsp,%r11,8),%rsp # tp=alloca(8*(num+2))
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and \$-1024,%rsp # minimize TLB usage
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mov %rax,8(%rsp,$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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$STRIDE=2**5*8; # 5 is "window size"
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$N=$STRIDE/4; # should match cache line size
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$code.=<<___;
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mov %r10,%r11
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shr \$`log($N/8)/log(2)`,%r10
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and \$`$N/8-1`,%r11
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not %r10
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lea .Lmagic_masks(%rip),%rax
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and \$`2**5/($N/8)-1`,%r10 # 5 is "window size"
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lea 96($bp,%r11,8),$bp # pointer within 1st cache line
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movq 0(%rax,%r10,8),%xmm4 # set of masks denoting which
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movq 8(%rax,%r10,8),%xmm5 # cache line contains element
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movq 16(%rax,%r10,8),%xmm6 # denoted by 7th argument
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movq 24(%rax,%r10,8),%xmm7
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movq `0*$STRIDE/4-96`($bp),%xmm0
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movq `1*$STRIDE/4-96`($bp),%xmm1
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pand %xmm4,%xmm0
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movq `2*$STRIDE/4-96`($bp),%xmm2
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pand %xmm5,%xmm1
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movq `3*$STRIDE/4-96`($bp),%xmm3
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pand %xmm6,%xmm2
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por %xmm1,%xmm0
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pand %xmm7,%xmm3
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por %xmm2,%xmm0
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lea $STRIDE($bp),$bp
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por %xmm3,%xmm0
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movq %xmm0,$m0 # m0=bp[0]
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mov ($n0),$n0 # pull n0[0] value
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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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movq `0*$STRIDE/4-96`($bp),%xmm0
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movq `1*$STRIDE/4-96`($bp),%xmm1
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pand %xmm4,%xmm0
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movq `2*$STRIDE/4-96`($bp),%xmm2
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pand %xmm5,%xmm1
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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 ($np),%rax
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movq `3*$STRIDE/4-96`($bp),%xmm3
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pand %xmm6,%xmm2
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por %xmm1,%xmm0
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pand %xmm7,%xmm3
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imulq $lo0,$m1 # "tp[0]"*n0
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mov %rdx,$hi0
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por %xmm2,%xmm0
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lea $STRIDE($bp),$bp
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por %xmm3,%xmm0
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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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movq %xmm0,$m0 # bp[1]
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add %rax,$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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xor $j,$j # j=0
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mov $n0,$m1
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mov (%rsp),$lo0
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movq `0*$STRIDE/4-96`($bp),%xmm0
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movq `1*$STRIDE/4-96`($bp),%xmm1
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pand %xmm4,%xmm0
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movq `2*$STRIDE/4-96`($bp),%xmm2
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pand %xmm5,%xmm1
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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 ($np),%rax
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adc \$0,%rdx
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movq `3*$STRIDE/4-96`($bp),%xmm3
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pand %xmm6,%xmm2
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por %xmm1,%xmm0
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pand %xmm7,%xmm3
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imulq $lo0,$m1 # tp[0]*n0
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mov %rdx,$hi0
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por %xmm2,%xmm0
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lea $STRIDE($bp),$bp
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por %xmm3,%xmm0
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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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movq %xmm0,$m0 # bp[i+1]
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add %rax,$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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___
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$code.=<<___ if ($win64);
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movaps (%rsi),%xmm6
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movaps 0x10(%rsi),%xmm7
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lea 0x28(%rsi),%rsi
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___
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$code.=<<___;
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mov (%rsi),%r15
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mov 8(%rsi),%r14
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mov 16(%rsi),%r13
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mov 24(%rsi),%r12
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mov 32(%rsi),%rbp
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mov 40(%rsi),%rbx
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lea 48(%rsi),%rsp
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.Lmul_epilogue:
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ret
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.size bn_mul_mont_gather5,.-bn_mul_mont_gather5
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___
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{{{
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my @A=("%r10","%r11");
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my @N=("%r13","%rdi");
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$code.=<<___;
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.type bn_mul4x_mont_gather5,\@function,6
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.align 16
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bn_mul4x_mont_gather5:
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.Lmul4x_enter:
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mov ${num}d,${num}d
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mov `($win64?56:8)`(%rsp),%r10d # load 7th argument
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push %rbx
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push %rbp
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push %r12
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push %r13
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push %r14
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push %r15
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___
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$code.=<<___ if ($win64);
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lea -0x28(%rsp),%rsp
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movaps %xmm6,(%rsp)
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movaps %xmm7,0x10(%rsp)
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.Lmul4x_alloca:
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___
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$code.=<<___;
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mov %rsp,%rax
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lea 4($num),%r11
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neg %r11
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lea (%rsp,%r11,8),%rsp # tp=alloca(8*(num+4))
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and \$-1024,%rsp # minimize TLB usage
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mov %rax,8(%rsp,$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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$STRIDE=2**5*8; # 5 is "window size"
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$N=$STRIDE/4; # should match cache line size
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$code.=<<___;
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mov %r10,%r11
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shr \$`log($N/8)/log(2)`,%r10
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and \$`$N/8-1`,%r11
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not %r10
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lea .Lmagic_masks(%rip),%rax
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and \$`2**5/($N/8)-1`,%r10 # 5 is "window size"
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lea 96($bp,%r11,8),$bp # pointer within 1st cache line
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movq 0(%rax,%r10,8),%xmm4 # set of masks denoting which
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movq 8(%rax,%r10,8),%xmm5 # cache line contains element
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movq 16(%rax,%r10,8),%xmm6 # denoted by 7th argument
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movq 24(%rax,%r10,8),%xmm7
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movq `0*$STRIDE/4-96`($bp),%xmm0
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movq `1*$STRIDE/4-96`($bp),%xmm1
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pand %xmm4,%xmm0
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movq `2*$STRIDE/4-96`($bp),%xmm2
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pand %xmm5,%xmm1
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movq `3*$STRIDE/4-96`($bp),%xmm3
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pand %xmm6,%xmm2
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por %xmm1,%xmm0
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pand %xmm7,%xmm3
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por %xmm2,%xmm0
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lea $STRIDE($bp),$bp
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por %xmm3,%xmm0
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movq %xmm0,$m0 # m0=bp[0]
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mov ($n0),$n0 # pull n0[0] value
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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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movq `0*$STRIDE/4-96`($bp),%xmm0
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movq `1*$STRIDE/4-96`($bp),%xmm1
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pand %xmm4,%xmm0
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movq `2*$STRIDE/4-96`($bp),%xmm2
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pand %xmm5,%xmm1
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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 ($np),%rax
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movq `3*$STRIDE/4-96`($bp),%xmm3
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pand %xmm6,%xmm2
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por %xmm1,%xmm0
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pand %xmm7,%xmm3
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imulq $A[0],$m1 # "tp[0]"*n0
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mov %rdx,$A[1]
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por %xmm2,%xmm0
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lea $STRIDE($bp),$bp
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por %xmm3,%xmm0
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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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mulq $m0 # ap[j]*bp[0]
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add %rax,$A[1]
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mov -8($np,$j,8),%rax
|
|
adc \$0,%rdx
|
|
mov %rdx,$A[0]
|
|
|
|
mulq $m1 # np[j]*m1
|
|
add %rax,$N[1]
|
|
mov ($ap,$j,8),%rax
|
|
adc \$0,%rdx
|
|
add $A[1],$N[1] # np[j]*m1+ap[j]*bp[0]
|
|
adc \$0,%rdx
|
|
mov $N[1],-16(%rsp,$j,8) # tp[j-1]
|
|
mov %rdx,$N[0]
|
|
|
|
mulq $m0 # ap[j]*bp[0]
|
|
add %rax,$A[0]
|
|
mov ($np,$j,8),%rax
|
|
adc \$0,%rdx
|
|
mov %rdx,$A[1]
|
|
|
|
mulq $m1 # np[j]*m1
|
|
add %rax,$N[0]
|
|
mov 8($ap,$j,8),%rax
|
|
adc \$0,%rdx
|
|
add $A[0],$N[0] # np[j]*m1+ap[j]*bp[0]
|
|
adc \$0,%rdx
|
|
mov $N[0],-8(%rsp,$j,8) # tp[j-1]
|
|
mov %rdx,$N[1]
|
|
|
|
mulq $m0 # ap[j]*bp[0]
|
|
add %rax,$A[1]
|
|
mov 8($np,$j,8),%rax
|
|
adc \$0,%rdx
|
|
lea 4($j),$j # j++
|
|
mov %rdx,$A[0]
|
|
|
|
mulq $m1 # np[j]*m1
|
|
add %rax,$N[1]
|
|
mov -16($ap,$j,8),%rax
|
|
adc \$0,%rdx
|
|
add $A[1],$N[1] # np[j]*m1+ap[j]*bp[0]
|
|
adc \$0,%rdx
|
|
mov $N[1],-32(%rsp,$j,8) # tp[j-1]
|
|
mov %rdx,$N[0]
|
|
cmp $num,$j
|
|
jl .L1st4x
|
|
|
|
mulq $m0 # ap[j]*bp[0]
|
|
add %rax,$A[0]
|
|
mov -16($np,$j,8),%rax
|
|
adc \$0,%rdx
|
|
mov %rdx,$A[1]
|
|
|
|
mulq $m1 # np[j]*m1
|
|
add %rax,$N[0]
|
|
mov -8($ap,$j,8),%rax
|
|
adc \$0,%rdx
|
|
add $A[0],$N[0] # np[j]*m1+ap[j]*bp[0]
|
|
adc \$0,%rdx
|
|
mov $N[0],-24(%rsp,$j,8) # tp[j-1]
|
|
mov %rdx,$N[1]
|
|
|
|
mulq $m0 # ap[j]*bp[0]
|
|
add %rax,$A[1]
|
|
mov -8($np,$j,8),%rax
|
|
adc \$0,%rdx
|
|
mov %rdx,$A[0]
|
|
|
|
mulq $m1 # np[j]*m1
|
|
add %rax,$N[1]
|
|
mov ($ap),%rax # ap[0]
|
|
adc \$0,%rdx
|
|
add $A[1],$N[1] # np[j]*m1+ap[j]*bp[0]
|
|
adc \$0,%rdx
|
|
mov $N[1],-16(%rsp,$j,8) # tp[j-1]
|
|
mov %rdx,$N[0]
|
|
|
|
movq %xmm0,$m0 # bp[1]
|
|
|
|
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:
|
|
xor $j,$j # j=0
|
|
movq `0*$STRIDE/4-96`($bp),%xmm0
|
|
movq `1*$STRIDE/4-96`($bp),%xmm1
|
|
pand %xmm4,%xmm0
|
|
movq `2*$STRIDE/4-96`($bp),%xmm2
|
|
pand %xmm5,%xmm1
|
|
|
|
mov (%rsp),$A[0]
|
|
mov $n0,$m1
|
|
mulq $m0 # ap[0]*bp[i]
|
|
add %rax,$A[0] # ap[0]*bp[i]+tp[0]
|
|
mov ($np),%rax
|
|
adc \$0,%rdx
|
|
|
|
movq `3*$STRIDE/4-96`($bp),%xmm3
|
|
pand %xmm6,%xmm2
|
|
por %xmm1,%xmm0
|
|
pand %xmm7,%xmm3
|
|
|
|
imulq $A[0],$m1 # tp[0]*n0
|
|
mov %rdx,$A[1]
|
|
|
|
por %xmm2,%xmm0
|
|
lea $STRIDE($bp),$bp
|
|
por %xmm3,%xmm0
|
|
|
|
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 %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 $N[1],-32(%rsp,$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 $N[0],-24(%rsp,$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 $N[1],-16(%rsp,$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 $N[0],-40(%rsp,$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 $N[1],-32(%rsp,$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 $N[0],-24(%rsp,$j,8) # tp[j-1]
|
|
mov %rdx,$N[0]
|
|
|
|
movq %xmm0,$m0 # bp[i+1]
|
|
mov $N[1],-16(%rsp,$j,8) # tp[j-1]
|
|
|
|
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
|
|
___
|
|
$code.=<<___ if ($win64);
|
|
movaps (%rsi),%xmm6
|
|
movaps 0x10(%rsi),%xmm7
|
|
lea 0x28(%rsi),%rsi
|
|
___
|
|
$code.=<<___;
|
|
mov (%rsi),%r15
|
|
mov 8(%rsi),%r14
|
|
mov 16(%rsi),%r13
|
|
mov 24(%rsi),%r12
|
|
mov 32(%rsi),%rbp
|
|
mov 40(%rsi),%rbx
|
|
lea 48(%rsi),%rsp
|
|
.Lmul4x_epilogue:
|
|
ret
|
|
.size bn_mul4x_mont_gather5,.-bn_mul4x_mont_gather5
|
|
___
|
|
}}}
|
|
|
|
{
|
|
my ($inp,$num,$tbl,$idx)=$win64?("%rcx","%rdx","%r8", "%r9") : # Win64 order
|
|
("%rdi","%rsi","%rdx","%rcx"); # Unix order
|
|
my $out=$inp;
|
|
my $STRIDE=2**5*8;
|
|
my $N=$STRIDE/4;
|
|
|
|
$code.=<<___;
|
|
.globl bn_scatter5
|
|
.type bn_scatter5,\@abi-omnipotent
|
|
.align 16
|
|
bn_scatter5:
|
|
cmp \$0, $num
|
|
jz .Lscatter_epilogue
|
|
lea ($tbl,$idx,8),$tbl
|
|
.Lscatter:
|
|
mov ($inp),%rax
|
|
lea 8($inp),$inp
|
|
mov %rax,($tbl)
|
|
lea 32*8($tbl),$tbl
|
|
sub \$1,$num
|
|
jnz .Lscatter
|
|
.Lscatter_epilogue:
|
|
ret
|
|
.size bn_scatter5,.-bn_scatter5
|
|
|
|
.globl bn_gather5
|
|
.type bn_gather5,\@abi-omnipotent
|
|
.align 16
|
|
bn_gather5:
|
|
___
|
|
$code.=<<___ if ($win64);
|
|
.LSEH_begin_bn_gather5:
|
|
# I can't trust assembler to use specific encoding:-(
|
|
.byte 0x48,0x83,0xec,0x28 #sub \$0x28,%rsp
|
|
.byte 0x0f,0x29,0x34,0x24 #movaps %xmm6,(%rsp)
|
|
.byte 0x0f,0x29,0x7c,0x24,0x10 #movdqa %xmm7,0x10(%rsp)
|
|
___
|
|
$code.=<<___;
|
|
mov $idx,%r11
|
|
shr \$`log($N/8)/log(2)`,$idx
|
|
and \$`$N/8-1`,%r11
|
|
not $idx
|
|
lea .Lmagic_masks(%rip),%rax
|
|
and \$`2**5/($N/8)-1`,$idx # 5 is "window size"
|
|
lea 96($tbl,%r11,8),$tbl # pointer within 1st cache line
|
|
movq 0(%rax,$idx,8),%xmm4 # set of masks denoting which
|
|
movq 8(%rax,$idx,8),%xmm5 # cache line contains element
|
|
movq 16(%rax,$idx,8),%xmm6 # denoted by 7th argument
|
|
movq 24(%rax,$idx,8),%xmm7
|
|
jmp .Lgather
|
|
.align 16
|
|
.Lgather:
|
|
movq `0*$STRIDE/4-96`($tbl),%xmm0
|
|
movq `1*$STRIDE/4-96`($tbl),%xmm1
|
|
pand %xmm4,%xmm0
|
|
movq `2*$STRIDE/4-96`($tbl),%xmm2
|
|
pand %xmm5,%xmm1
|
|
movq `3*$STRIDE/4-96`($tbl),%xmm3
|
|
pand %xmm6,%xmm2
|
|
por %xmm1,%xmm0
|
|
pand %xmm7,%xmm3
|
|
por %xmm2,%xmm0
|
|
lea $STRIDE($tbl),$tbl
|
|
por %xmm3,%xmm0
|
|
|
|
movq %xmm0,($out) # m0=bp[0]
|
|
lea 8($out),$out
|
|
sub \$1,$num
|
|
jnz .Lgather
|
|
___
|
|
$code.=<<___ if ($win64);
|
|
movaps (%rsp),%xmm6
|
|
movaps 0x10(%rsp),%xmm7
|
|
lea 0x28(%rsp),%rsp
|
|
___
|
|
$code.=<<___;
|
|
ret
|
|
.LSEH_end_bn_gather5:
|
|
.size bn_gather5,.-bn_gather5
|
|
___
|
|
}
|
|
$code.=<<___;
|
|
.align 64
|
|
.Lmagic_masks:
|
|
.long 0,0, 0,0, 0,0, -1,-1
|
|
.long 0,0, 0,0, 0,0, 0,0
|
|
.asciz "Montgomery Multiplication with scatter/gather for x86_64, CRYPTOGAMS by <appro\@openssl.org>"
|
|
___
|
|
|
|
# EXCEPTION_DISPOSITION handler (EXCEPTION_RECORD *rec,ULONG64 frame,
|
|
# CONTEXT *context,DISPATCHER_CONTEXT *disp)
|
|
if ($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($disp),%r11 # disp->HandlerData
|
|
|
|
mov 0(%r11),%r10d # HandlerData[0]
|
|
lea (%rsi,%r10),%r10 # end of prologue label
|
|
cmp %r10,%rbx # context->Rip<end of prologue label
|
|
jb .Lcommon_seh_tail
|
|
|
|
lea `40+48`(%rax),%rax
|
|
|
|
mov 4(%r11),%r10d # HandlerData[1]
|
|
lea (%rsi,%r10),%r10 # end of alloca label
|
|
cmp %r10,%rbx # context->Rip<end of alloca label
|
|
jb .Lcommon_seh_tail
|
|
|
|
mov 152($context),%rax # pull context->Rsp
|
|
|
|
mov 8(%r11),%r10d # HandlerData[2]
|
|
lea (%rsi,%r10),%r10 # epilogue label
|
|
cmp %r10,%rbx # context->Rip>=epilogue label
|
|
jae .Lcommon_seh_tail
|
|
|
|
mov 192($context),%r10 # pull $num
|
|
mov 8(%rax,%r10,8),%rax # pull saved stack pointer
|
|
|
|
movaps (%rax),%xmm0
|
|
movaps 16(%rax),%xmm1
|
|
lea `40+48`(%rax),%rax
|
|
|
|
mov -8(%rax),%rbx
|
|
mov -16(%rax),%rbp
|
|
mov -24(%rax),%r12
|
|
mov -32(%rax),%r13
|
|
mov -40(%rax),%r14
|
|
mov -48(%rax),%r15
|
|
mov %rbx,144($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($context) # restore context->R15
|
|
movups %xmm0,512($context) # restore context->Xmm6
|
|
movups %xmm1,528($context) # restore context->Xmm7
|
|
|
|
.Lcommon_seh_tail:
|
|
mov 8(%rax),%rdi
|
|
mov 16(%rax),%rsi
|
|
mov %rax,152($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 mul_handler,.-mul_handler
|
|
|
|
.section .pdata
|
|
.align 4
|
|
.rva .LSEH_begin_bn_mul_mont_gather5
|
|
.rva .LSEH_end_bn_mul_mont_gather5
|
|
.rva .LSEH_info_bn_mul_mont_gather5
|
|
|
|
.rva .LSEH_begin_bn_mul4x_mont_gather5
|
|
.rva .LSEH_end_bn_mul4x_mont_gather5
|
|
.rva .LSEH_info_bn_mul4x_mont_gather5
|
|
|
|
.rva .LSEH_begin_bn_gather5
|
|
.rva .LSEH_end_bn_gather5
|
|
.rva .LSEH_info_bn_gather5
|
|
|
|
.section .xdata
|
|
.align 8
|
|
.LSEH_info_bn_mul_mont_gather5:
|
|
.byte 9,0,0,0
|
|
.rva mul_handler
|
|
.rva .Lmul_alloca,.Lmul_body,.Lmul_epilogue # HandlerData[]
|
|
.align 8
|
|
.LSEH_info_bn_mul4x_mont_gather5:
|
|
.byte 9,0,0,0
|
|
.rva mul_handler
|
|
.rva .Lmul4x_alloca,.Lmul4x_body,.Lmul4x_epilogue # HandlerData[]
|
|
.align 8
|
|
.LSEH_info_bn_gather5:
|
|
.byte 0x01,0x0d,0x05,0x00
|
|
.byte 0x0d,0x78,0x01,0x00 #movaps 0x10(rsp),xmm7
|
|
.byte 0x08,0x68,0x00,0x00 #movaps (rsp),xmm6
|
|
.byte 0x04,0x42,0x00,0x00 #sub rsp,0x28
|
|
.align 8
|
|
___
|
|
}
|
|
|
|
$code =~ s/\`([^\`]*)\`/eval($1)/gem;
|
|
|
|
print $code;
|
|
close STDOUT;
|