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1208 lines
26 KiB
1208 lines
26 KiB
#!/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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movd `($win64?56:8)`(%rsp),%xmm5 # load 7th argument |
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lea .Linc(%rip),%r10 |
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push %rbx |
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push %rbp |
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push %r12 |
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push %r13 |
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push %r14 |
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push %r15 |
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.Lmul_alloca: |
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mov %rsp,%rax |
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lea 2($num),%r11 |
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neg %r11 |
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lea -264(%rsp,%r11,8),%rsp # tp=alloca(8*(num+2)+256+8) |
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and \$-1024,%rsp # minimize TLB usage |
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mov %rax,8(%rsp,$num,8) # tp[num+1]=%rsp |
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.Lmul_body: |
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# Some OSes, *cough*-dows, insist on stack being "wired" to |
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# physical memory in strictly sequential manner, i.e. if stack |
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# allocation spans two pages, then reference to farmost one can |
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# be punishable by SEGV. But page walking can do good even on |
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# other OSes, because it guarantees that villain thread hits |
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# the guard page before it can make damage to innocent one... |
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sub %rsp,%rax |
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and \$-4096,%rax |
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.Lmul_page_walk: |
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mov (%rsp,%rax),%r11 |
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sub \$4096,%rax |
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.byte 0x2e # predict non-taken |
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jnc .Lmul_page_walk |
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lea 128($bp),%r12 # reassign $bp (+size optimization) |
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___ |
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$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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movdqa 0(%r10),%xmm0 # 00000001000000010000000000000000 |
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movdqa 16(%r10),%xmm1 # 00000002000000020000000200000002 |
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lea 24-112(%rsp,$num,8),%r10# place the mask after tp[num+3] (+ICache optimization) |
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and \$-16,%r10 |
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pshufd \$0,%xmm5,%xmm5 # broadcast index |
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movdqa %xmm1,%xmm4 |
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movdqa %xmm1,%xmm2 |
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___ |
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######################################################################## |
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# calculate mask by comparing 0..31 to index and save result to stack |
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# |
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$code.=<<___; |
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paddd %xmm0,%xmm1 |
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pcmpeqd %xmm5,%xmm0 # compare to 1,0 |
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.byte 0x67 |
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movdqa %xmm4,%xmm3 |
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___ |
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for($k=0;$k<$STRIDE/16-4;$k+=4) { |
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$code.=<<___; |
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paddd %xmm1,%xmm2 |
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pcmpeqd %xmm5,%xmm1 # compare to 3,2 |
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movdqa %xmm0,`16*($k+0)+112`(%r10) |
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movdqa %xmm4,%xmm0 |
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paddd %xmm2,%xmm3 |
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pcmpeqd %xmm5,%xmm2 # compare to 5,4 |
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movdqa %xmm1,`16*($k+1)+112`(%r10) |
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movdqa %xmm4,%xmm1 |
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paddd %xmm3,%xmm0 |
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pcmpeqd %xmm5,%xmm3 # compare to 7,6 |
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movdqa %xmm2,`16*($k+2)+112`(%r10) |
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movdqa %xmm4,%xmm2 |
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paddd %xmm0,%xmm1 |
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pcmpeqd %xmm5,%xmm0 |
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movdqa %xmm3,`16*($k+3)+112`(%r10) |
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movdqa %xmm4,%xmm3 |
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___ |
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} |
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$code.=<<___; # last iteration can be optimized |
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paddd %xmm1,%xmm2 |
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pcmpeqd %xmm5,%xmm1 |
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movdqa %xmm0,`16*($k+0)+112`(%r10) |
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paddd %xmm2,%xmm3 |
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.byte 0x67 |
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pcmpeqd %xmm5,%xmm2 |
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movdqa %xmm1,`16*($k+1)+112`(%r10) |
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pcmpeqd %xmm5,%xmm3 |
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movdqa %xmm2,`16*($k+2)+112`(%r10) |
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pand `16*($k+0)-128`($bp),%xmm0 # while it's still in register |
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pand `16*($k+1)-128`($bp),%xmm1 |
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pand `16*($k+2)-128`($bp),%xmm2 |
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movdqa %xmm3,`16*($k+3)+112`(%r10) |
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pand `16*($k+3)-128`($bp),%xmm3 |
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por %xmm2,%xmm0 |
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por %xmm3,%xmm1 |
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___ |
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for($k=0;$k<$STRIDE/16-4;$k+=4) { |
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$code.=<<___; |
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movdqa `16*($k+0)-128`($bp),%xmm4 |
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movdqa `16*($k+1)-128`($bp),%xmm5 |
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movdqa `16*($k+2)-128`($bp),%xmm2 |
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pand `16*($k+0)+112`(%r10),%xmm4 |
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movdqa `16*($k+3)-128`($bp),%xmm3 |
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pand `16*($k+1)+112`(%r10),%xmm5 |
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por %xmm4,%xmm0 |
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pand `16*($k+2)+112`(%r10),%xmm2 |
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por %xmm5,%xmm1 |
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pand `16*($k+3)+112`(%r10),%xmm3 |
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por %xmm2,%xmm0 |
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por %xmm3,%xmm1 |
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___ |
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} |
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$code.=<<___; |
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por %xmm1,%xmm0 |
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pshufd \$0x4e,%xmm0,%xmm1 |
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por %xmm1,%xmm0 |
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lea $STRIDE($bp),$bp |
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movq %xmm0,$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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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),$i # i++ |
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jmp .Louter |
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.align 16 |
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.Louter: |
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lea 24+128(%rsp,$num,8),%rdx # where 256-byte mask is (+size optimization) |
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and \$-16,%rdx |
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pxor %xmm4,%xmm4 |
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pxor %xmm5,%xmm5 |
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___ |
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for($k=0;$k<$STRIDE/16;$k+=4) { |
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$code.=<<___; |
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movdqa `16*($k+0)-128`($bp),%xmm0 |
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movdqa `16*($k+1)-128`($bp),%xmm1 |
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movdqa `16*($k+2)-128`($bp),%xmm2 |
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movdqa `16*($k+3)-128`($bp),%xmm3 |
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pand `16*($k+0)-128`(%rdx),%xmm0 |
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pand `16*($k+1)-128`(%rdx),%xmm1 |
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por %xmm0,%xmm4 |
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pand `16*($k+2)-128`(%rdx),%xmm2 |
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por %xmm1,%xmm5 |
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pand `16*($k+3)-128`(%rdx),%xmm3 |
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por %xmm2,%xmm4 |
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por %xmm3,%xmm5 |
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___ |
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} |
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$code.=<<___; |
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por %xmm5,%xmm4 |
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pshufd \$0x4e,%xmm4,%xmm0 |
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por %xmm4,%xmm0 |
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lea $STRIDE($bp),$bp |
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movq %xmm0,$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_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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movd `($win64?56:8)`(%rsp),%xmm5 # load 7th argument |
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lea .Linc(%rip),%r10 |
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push %rbx |
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push %rbp |
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push %r12 |
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push %r13 |
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push %r14 |
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push %r15 |
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.Lmul4x_alloca: |
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mov %rsp,%rax |
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lea 4($num),%r11 |
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neg %r11 |
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lea -256(%rsp,%r11,8),%rsp # tp=alloca(8*(num+4)+256) |
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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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sub %rsp,%rax |
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and \$-4096,%rax |
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.Lmul4x_page_walk: |
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mov (%rsp,%rax),%r11 |
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sub \$4096,%rax |
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.byte 0x2e # predict non-taken |
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jnc .Lmul4x_page_walk |
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mov $rp,16(%rsp,$num,8) # tp[num+2]=$rp |
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lea 128(%rdx),%r12 # reassign $bp (+size optimization) |
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___ |
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$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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movdqa 0(%r10),%xmm0 # 00000001000000010000000000000000 |
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movdqa 16(%r10),%xmm1 # 00000002000000020000000200000002 |
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lea 32-112(%rsp,$num,8),%r10# place the mask after tp[num+4] (+ICache optimization) |
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|
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pshufd \$0,%xmm5,%xmm5 # broadcast index |
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movdqa %xmm1,%xmm4 |
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.byte 0x67,0x67 |
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movdqa %xmm1,%xmm2 |
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___ |
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######################################################################## |
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# calculate mask by comparing 0..31 to index and save result to stack |
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# |
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$code.=<<___; |
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paddd %xmm0,%xmm1 |
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pcmpeqd %xmm5,%xmm0 # compare to 1,0 |
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.byte 0x67 |
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movdqa %xmm4,%xmm3 |
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___ |
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for($k=0;$k<$STRIDE/16-4;$k+=4) { |
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$code.=<<___; |
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paddd %xmm1,%xmm2 |
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pcmpeqd %xmm5,%xmm1 # compare to 3,2 |
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movdqa %xmm0,`16*($k+0)+112`(%r10) |
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movdqa %xmm4,%xmm0 |
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|
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paddd %xmm2,%xmm3 |
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pcmpeqd %xmm5,%xmm2 # compare to 5,4 |
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movdqa %xmm1,`16*($k+1)+112`(%r10) |
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movdqa %xmm4,%xmm1 |
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paddd %xmm3,%xmm0 |
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pcmpeqd %xmm5,%xmm3 # compare to 7,6 |
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movdqa %xmm2,`16*($k+2)+112`(%r10) |
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movdqa %xmm4,%xmm2 |
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paddd %xmm0,%xmm1 |
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pcmpeqd %xmm5,%xmm0 |
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movdqa %xmm3,`16*($k+3)+112`(%r10) |
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movdqa %xmm4,%xmm3 |
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___ |
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} |
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$code.=<<___; # last iteration can be optimized |
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paddd %xmm1,%xmm2 |
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pcmpeqd %xmm5,%xmm1 |
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movdqa %xmm0,`16*($k+0)+112`(%r10) |
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|
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paddd %xmm2,%xmm3 |
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.byte 0x67 |
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pcmpeqd %xmm5,%xmm2 |
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movdqa %xmm1,`16*($k+1)+112`(%r10) |
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|
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pcmpeqd %xmm5,%xmm3 |
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movdqa %xmm2,`16*($k+2)+112`(%r10) |
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pand `16*($k+0)-128`($bp),%xmm0 # while it's still in register |
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|
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pand `16*($k+1)-128`($bp),%xmm1 |
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pand `16*($k+2)-128`($bp),%xmm2 |
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movdqa %xmm3,`16*($k+3)+112`(%r10) |
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pand `16*($k+3)-128`($bp),%xmm3 |
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por %xmm2,%xmm0 |
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por %xmm3,%xmm1 |
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___ |
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for($k=0;$k<$STRIDE/16-4;$k+=4) { |
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$code.=<<___; |
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movdqa `16*($k+0)-128`($bp),%xmm4 |
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movdqa `16*($k+1)-128`($bp),%xmm5 |
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movdqa `16*($k+2)-128`($bp),%xmm2 |
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pand `16*($k+0)+112`(%r10),%xmm4 |
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movdqa `16*($k+3)-128`($bp),%xmm3 |
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pand `16*($k+1)+112`(%r10),%xmm5 |
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por %xmm4,%xmm0 |
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pand `16*($k+2)+112`(%r10),%xmm2 |
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por %xmm5,%xmm1 |
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pand `16*($k+3)+112`(%r10),%xmm3 |
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por %xmm2,%xmm0 |
|
por %xmm3,%xmm1 |
|
___ |
|
} |
|
$code.=<<___; |
|
por %xmm1,%xmm0 |
|
pshufd \$0x4e,%xmm0,%xmm1 |
|
por %xmm1,%xmm0 |
|
lea $STRIDE($bp),$bp |
|
movq %xmm0,$m0 # m0=bp[0] |
|
|
|
mov ($n0),$n0 # pull n0[0] value |
|
mov ($ap),%rax |
|
|
|
xor $i,$i # i=0 |
|
xor $j,$j # j=0 |
|
|
|
mov $n0,$m1 |
|
mulq $m0 # ap[0]*bp[0] |
|
mov %rax,$A[0] |
|
mov ($np),%rax |
|
|
|
imulq $A[0],$m1 # "tp[0]"*n0 |
|
mov %rdx,$A[1] |
|
|
|
mulq $m1 # np[0]*m1 |
|
add %rax,$A[0] # discarded |
|
mov 8($ap),%rax |
|
adc \$0,%rdx |
|
mov %rdx,$N[1] |
|
|
|
mulq $m0 |
|
add %rax,$A[1] |
|
mov 8($np),%rax |
|
adc \$0,%rdx |
|
mov %rdx,$A[0] |
|
|
|
mulq $m1 |
|
add %rax,$N[1] |
|
mov 16($ap),%rax |
|
adc \$0,%rdx |
|
add $A[1],$N[1] |
|
lea 4($j),$j # j++ |
|
adc \$0,%rdx |
|
mov $N[1],(%rsp) |
|
mov %rdx,$N[0] |
|
jmp .L1st4x |
|
.align 16 |
|
.L1st4x: |
|
mulq $m0 # ap[j]*bp[0] |
|
add %rax,$A[0] |
|
mov -16($np,$j,8),%rax |
|
adc \$0,%rdx |
|
mov %rdx,$A[1] |
|
|
|
mulq $m1 # np[j]*m1 |
|
add %rax,$N[0] |
|
mov -8($ap,$j,8),%rax |
|
adc \$0,%rdx |
|
add $A[0],$N[0] # np[j]*m1+ap[j]*bp[0] |
|
adc \$0,%rdx |
|
mov $N[0],-24(%rsp,$j,8) # tp[j-1] |
|
mov %rdx,$N[1] |
|
|
|
mulq $m0 # ap[j]*bp[0] |
|
add %rax,$A[1] |
|
mov -8($np,$j,8),%rax |
|
adc \$0,%rdx |
|
mov %rdx,$A[0] |
|
|
|
mulq $m1 # np[j]*m1 |
|
add %rax,$N[1] |
|
mov ($ap,$j,8),%rax |
|
adc \$0,%rdx |
|
add $A[1],$N[1] # np[j]*m1+ap[j]*bp[0] |
|
adc \$0,%rdx |
|
mov $N[1],-16(%rsp,$j,8) # tp[j-1] |
|
mov %rdx,$N[0] |
|
|
|
mulq $m0 # ap[j]*bp[0] |
|
add %rax,$A[0] |
|
mov ($np,$j,8),%rax |
|
adc \$0,%rdx |
|
mov %rdx,$A[1] |
|
|
|
mulq $m1 # np[j]*m1 |
|
add %rax,$N[0] |
|
mov 8($ap,$j,8),%rax |
|
adc \$0,%rdx |
|
add $A[0],$N[0] # np[j]*m1+ap[j]*bp[0] |
|
adc \$0,%rdx |
|
mov $N[0],-8(%rsp,$j,8) # tp[j-1] |
|
mov %rdx,$N[1] |
|
|
|
mulq $m0 # ap[j]*bp[0] |
|
add %rax,$A[1] |
|
mov 8($np,$j,8),%rax |
|
adc \$0,%rdx |
|
lea 4($j),$j # j++ |
|
mov %rdx,$A[0] |
|
|
|
mulq $m1 # np[j]*m1 |
|
add %rax,$N[1] |
|
mov -16($ap,$j,8),%rax |
|
adc \$0,%rdx |
|
add $A[1],$N[1] # np[j]*m1+ap[j]*bp[0] |
|
adc \$0,%rdx |
|
mov $N[1],-32(%rsp,$j,8) # tp[j-1] |
|
mov %rdx,$N[0] |
|
cmp $num,$j |
|
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] |
|
|
|
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: |
|
lea 32+128(%rsp,$num,8),%rdx # where 256-byte mask is (+size optimization) |
|
pxor %xmm4,%xmm4 |
|
pxor %xmm5,%xmm5 |
|
___ |
|
for($k=0;$k<$STRIDE/16;$k+=4) { |
|
$code.=<<___; |
|
movdqa `16*($k+0)-128`($bp),%xmm0 |
|
movdqa `16*($k+1)-128`($bp),%xmm1 |
|
movdqa `16*($k+2)-128`($bp),%xmm2 |
|
movdqa `16*($k+3)-128`($bp),%xmm3 |
|
pand `16*($k+0)-128`(%rdx),%xmm0 |
|
pand `16*($k+1)-128`(%rdx),%xmm1 |
|
por %xmm0,%xmm4 |
|
pand `16*($k+2)-128`(%rdx),%xmm2 |
|
por %xmm1,%xmm5 |
|
pand `16*($k+3)-128`(%rdx),%xmm3 |
|
por %xmm2,%xmm4 |
|
por %xmm3,%xmm5 |
|
___ |
|
} |
|
$code.=<<___; |
|
por %xmm5,%xmm4 |
|
pshufd \$0x4e,%xmm4,%xmm0 |
|
por %xmm4,%xmm0 |
|
lea $STRIDE($bp),$bp |
|
movq %xmm0,$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 %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] |
|
|
|
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 |
|
|
|
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", "%r9d") : # Win64 order |
|
("%rdi","%rsi","%rdx","%ecx"); # 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: |
|
.LSEH_begin_bn_gather5: # Win64 thing, but harmless in other cases |
|
# I can't trust assembler to use specific encoding:-( |
|
.byte 0x4c,0x8d,0x14,0x24 # lea (%rsp),%r10 |
|
.byte 0x48,0x81,0xec,0x08,0x01,0x00,0x00 # sub $0x108,%rsp |
|
lea .Linc(%rip),%rax |
|
and \$-16,%rsp # shouldn't be formally required |
|
|
|
movd $idx,%xmm5 |
|
movdqa 0(%rax),%xmm0 # 00000001000000010000000000000000 |
|
movdqa 16(%rax),%xmm1 # 00000002000000020000000200000002 |
|
lea 128($tbl),%r11 # size optimization |
|
lea 128(%rsp),%rax # size optimization |
|
|
|
pshufd \$0,%xmm5,%xmm5 # broadcast $idx |
|
movdqa %xmm1,%xmm4 |
|
movdqa %xmm1,%xmm2 |
|
___ |
|
######################################################################## |
|
# calculate mask by comparing 0..31 to $idx and save result to stack |
|
# |
|
for($i=0;$i<$STRIDE/16;$i+=4) { |
|
$code.=<<___; |
|
paddd %xmm0,%xmm1 |
|
pcmpeqd %xmm5,%xmm0 # compare to 1,0 |
|
___ |
|
$code.=<<___ if ($i); |
|
movdqa %xmm3,`16*($i-1)-128`(%rax) |
|
___ |
|
$code.=<<___; |
|
movdqa %xmm4,%xmm3 |
|
|
|
paddd %xmm1,%xmm2 |
|
pcmpeqd %xmm5,%xmm1 # compare to 3,2 |
|
movdqa %xmm0,`16*($i+0)-128`(%rax) |
|
movdqa %xmm4,%xmm0 |
|
|
|
paddd %xmm2,%xmm3 |
|
pcmpeqd %xmm5,%xmm2 # compare to 5,4 |
|
movdqa %xmm1,`16*($i+1)-128`(%rax) |
|
movdqa %xmm4,%xmm1 |
|
|
|
paddd %xmm3,%xmm0 |
|
pcmpeqd %xmm5,%xmm3 # compare to 7,6 |
|
movdqa %xmm2,`16*($i+2)-128`(%rax) |
|
movdqa %xmm4,%xmm2 |
|
___ |
|
} |
|
$code.=<<___; |
|
movdqa %xmm3,`16*($i-1)-128`(%rax) |
|
jmp .Lgather |
|
|
|
.align 32 |
|
.Lgather: |
|
pxor %xmm4,%xmm4 |
|
pxor %xmm5,%xmm5 |
|
___ |
|
for($i=0;$i<$STRIDE/16;$i+=4) { |
|
$code.=<<___; |
|
movdqa `16*($i+0)-128`(%r11),%xmm0 |
|
movdqa `16*($i+1)-128`(%r11),%xmm1 |
|
movdqa `16*($i+2)-128`(%r11),%xmm2 |
|
pand `16*($i+0)-128`(%rax),%xmm0 |
|
movdqa `16*($i+3)-128`(%r11),%xmm3 |
|
pand `16*($i+1)-128`(%rax),%xmm1 |
|
por %xmm0,%xmm4 |
|
pand `16*($i+2)-128`(%rax),%xmm2 |
|
por %xmm1,%xmm5 |
|
pand `16*($i+3)-128`(%rax),%xmm3 |
|
por %xmm2,%xmm4 |
|
por %xmm3,%xmm5 |
|
___ |
|
} |
|
$code.=<<___; |
|
por %xmm5,%xmm4 |
|
lea $STRIDE(%r11),%r11 |
|
pshufd \$0x4e,%xmm4,%xmm0 |
|
por %xmm4,%xmm0 |
|
movq %xmm0,($out) # m0=bp[0] |
|
lea 8($out),$out |
|
sub \$1,$num |
|
jnz .Lgather |
|
|
|
lea (%r10),%rsp |
|
ret |
|
.LSEH_end_bn_gather5: |
|
.size bn_gather5,.-bn_gather5 |
|
___ |
|
} |
|
$code.=<<___; |
|
.align 64 |
|
.Linc: |
|
.long 0,0, 1,1 |
|
.long 2,2, 2,2 |
|
.asciz "Montgomery Multiplication with scatter/gather for x86_64, CRYPTOGAMS by <appro\@openssl.org>" |
|
___ |
|
|
|
# EXCEPTION_DISPOSITION handler (EXCEPTION_RECORD *rec,ULONG64 frame, |
|
# CONTEXT *context,DISPATCHER_CONTEXT *disp) |
|
if ($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($disp),%r11 # disp->HandlerData |
|
|
|
mov 0(%r11),%r10d # HandlerData[0] |
|
lea (%rsi,%r10),%r10 # end of prologue label |
|
cmp %r10,%rbx # context->Rip<end of prologue label |
|
jb .Lcommon_seh_tail |
|
|
|
lea 48(%rax),%rax |
|
|
|
mov 4(%r11),%r10d # HandlerData[1] |
|
lea (%rsi,%r10),%r10 # end of alloca label |
|
cmp %r10,%rbx # context->Rip<end of alloca label |
|
jb .Lcommon_seh_tail |
|
|
|
mov 152($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 $num |
|
mov 8(%rax,%r10,8),%rax # pull saved stack pointer |
|
|
|
lea 48(%rax),%rax |
|
|
|
mov -8(%rax),%rbx |
|
mov -16(%rax),%rbp |
|
mov -24(%rax),%r12 |
|
mov -32(%rax),%r13 |
|
mov -40(%rax),%r14 |
|
mov -48(%rax),%r15 |
|
mov %rbx,144($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 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 0x01,0x0b,0x03,0x0a |
|
.byte 0x0b,0x01,0x21,0x00 # sub rsp,0x108 |
|
.byte 0x04,0xa3,0x00,0x00 # lea r10,(rsp), set_frame r10 |
|
.align 8 |
|
___ |
|
} |
|
|
|
$code =~ s/\`([^\`]*)\`/eval($1)/gem; |
|
|
|
print $code; |
|
close STDOUT;
|
|
|