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- #!/usr/bin/env perl
- #
- # ====================================================================
- # Written by Andy Polyakov <appro@openssl.org> for the OpenSSL
- # project. The module is, however, dual licensed under OpenSSL and
- # CRYPTOGAMS licenses depending on where you obtain it. For further
- # details see http://www.openssl.org/~appro/cryptogams/.
- # ====================================================================
- #
- # May 2011
- #
- # The module implements bn_GF2m_mul_2x2 polynomial multiplication used
- # in bn_gf2m.c. It's kind of low-hanging mechanical port from C for
- # the time being... Except that it has two code paths: code suitable
- # for any x86_64 CPU and PCLMULQDQ one suitable for Westmere and
- # later. Improvement varies from one benchmark and µ-arch to another.
- # Vanilla code path is at most 20% faster than compiler-generated code
- # [not very impressive], while PCLMULQDQ - whole 85%-160% better on
- # 163- and 571-bit ECDH benchmarks on Intel CPUs. Keep in mind that
- # these coefficients are not ones for bn_GF2m_mul_2x2 itself, as not
- # all CPU time is burnt in it...
- $flavour = shift;
- $output = shift;
- if ($flavour =~ /\./) { $output = $flavour; undef $flavour; }
- $win64=0; $win64=1 if ($flavour =~ /[nm]asm|mingw64/ || $output =~ /\.asm$/);
- $0 =~ m/(.*[\/\\])[^\/\\]+$/; $dir=$1;
- ( $xlate="${dir}x86_64-xlate.pl" and -f $xlate ) or
- ( $xlate="${dir}../../perlasm/x86_64-xlate.pl" and -f $xlate) or
- die "can't locate x86_64-xlate.pl";
- open OUT,"| \"$^X\" $xlate $flavour $output";
- *STDOUT=*OUT;
- ($lo,$hi)=("%rax","%rdx"); $a=$lo;
- ($i0,$i1)=("%rsi","%rdi");
- ($t0,$t1)=("%rbx","%rcx");
- ($b,$mask)=("%rbp","%r8");
- ($a1,$a2,$a4,$a8,$a12,$a48)=map("%r$_",(9..15));
- ($R,$Tx)=("%xmm0","%xmm1");
- $code.=<<___;
- .text
- .type _mul_1x1,\@abi-omnipotent
- .align 16
- _mul_1x1:
- sub \$128+8,%rsp
- mov \$-1,$a1
- lea ($a,$a),$i0
- shr \$3,$a1
- lea (,$a,4),$i1
- and $a,$a1 # a1=a&0x1fffffffffffffff
- lea (,$a,8),$a8
- sar \$63,$a # broadcast 63rd bit
- lea ($a1,$a1),$a2
- sar \$63,$i0 # broadcast 62nd bit
- lea (,$a1,4),$a4
- and $b,$a
- sar \$63,$i1 # boardcast 61st bit
- mov $a,$hi # $a is $lo
- shl \$63,$lo
- and $b,$i0
- shr \$1,$hi
- mov $i0,$t1
- shl \$62,$i0
- and $b,$i1
- shr \$2,$t1
- xor $i0,$lo
- mov $i1,$t0
- shl \$61,$i1
- xor $t1,$hi
- shr \$3,$t0
- xor $i1,$lo
- xor $t0,$hi
- mov $a1,$a12
- movq \$0,0(%rsp) # tab[0]=0
- xor $a2,$a12 # a1^a2
- mov $a1,8(%rsp) # tab[1]=a1
- mov $a4,$a48
- mov $a2,16(%rsp) # tab[2]=a2
- xor $a8,$a48 # a4^a8
- mov $a12,24(%rsp) # tab[3]=a1^a2
- xor $a4,$a1
- mov $a4,32(%rsp) # tab[4]=a4
- xor $a4,$a2
- mov $a1,40(%rsp) # tab[5]=a1^a4
- xor $a4,$a12
- mov $a2,48(%rsp) # tab[6]=a2^a4
- xor $a48,$a1 # a1^a4^a4^a8=a1^a8
- mov $a12,56(%rsp) # tab[7]=a1^a2^a4
- xor $a48,$a2 # a2^a4^a4^a8=a1^a8
- mov $a8,64(%rsp) # tab[8]=a8
- xor $a48,$a12 # a1^a2^a4^a4^a8=a1^a2^a8
- mov $a1,72(%rsp) # tab[9]=a1^a8
- xor $a4,$a1 # a1^a8^a4
- mov $a2,80(%rsp) # tab[10]=a2^a8
- xor $a4,$a2 # a2^a8^a4
- mov $a12,88(%rsp) # tab[11]=a1^a2^a8
- xor $a4,$a12 # a1^a2^a8^a4
- mov $a48,96(%rsp) # tab[12]=a4^a8
- mov $mask,$i0
- mov $a1,104(%rsp) # tab[13]=a1^a4^a8
- and $b,$i0
- mov $a2,112(%rsp) # tab[14]=a2^a4^a8
- shr \$4,$b
- mov $a12,120(%rsp) # tab[15]=a1^a2^a4^a8
- mov $mask,$i1
- and $b,$i1
- shr \$4,$b
- movq (%rsp,$i0,8),$R # half of calculations is done in SSE2
- mov $mask,$i0
- and $b,$i0
- shr \$4,$b
- ___
- for ($n=1;$n<8;$n++) {
- $code.=<<___;
- mov (%rsp,$i1,8),$t1
- mov $mask,$i1
- mov $t1,$t0
- shl \$`8*$n-4`,$t1
- and $b,$i1
- movq (%rsp,$i0,8),$Tx
- shr \$`64-(8*$n-4)`,$t0
- xor $t1,$lo
- pslldq \$$n,$Tx
- mov $mask,$i0
- shr \$4,$b
- xor $t0,$hi
- and $b,$i0
- shr \$4,$b
- pxor $Tx,$R
- ___
- }
- $code.=<<___;
- mov (%rsp,$i1,8),$t1
- mov $t1,$t0
- shl \$`8*$n-4`,$t1
- movq $R,$i0
- shr \$`64-(8*$n-4)`,$t0
- xor $t1,$lo
- psrldq \$8,$R
- xor $t0,$hi
- movq $R,$i1
- xor $i0,$lo
- xor $i1,$hi
- add \$128+8,%rsp
- ret
- .Lend_mul_1x1:
- .size _mul_1x1,.-_mul_1x1
- ___
- ($rp,$a1,$a0,$b1,$b0) = $win64? ("%rcx","%rdx","%r8", "%r9","%r10") : # Win64 order
- ("%rdi","%rsi","%rdx","%rcx","%r8"); # Unix order
- $code.=<<___;
- .extern OPENSSL_ia32cap_P
- .globl bn_GF2m_mul_2x2
- .type bn_GF2m_mul_2x2,\@abi-omnipotent
- .align 16
- bn_GF2m_mul_2x2:
- mov OPENSSL_ia32cap_P(%rip),%rax
- bt \$33,%rax
- jnc .Lvanilla_mul_2x2
- movq $a1,%xmm0
- movq $b1,%xmm1
- movq $a0,%xmm2
- ___
- $code.=<<___ if ($win64);
- movq 40(%rsp),%xmm3
- ___
- $code.=<<___ if (!$win64);
- movq $b0,%xmm3
- ___
- $code.=<<___;
- movdqa %xmm0,%xmm4
- movdqa %xmm1,%xmm5
- pclmulqdq \$0,%xmm1,%xmm0 # a1·b1
- pxor %xmm2,%xmm4
- pxor %xmm3,%xmm5
- pclmulqdq \$0,%xmm3,%xmm2 # a0·b0
- pclmulqdq \$0,%xmm5,%xmm4 # (a0+a1)·(b0+b1)
- xorps %xmm0,%xmm4
- xorps %xmm2,%xmm4 # (a0+a1)·(b0+b1)-a0·b0-a1·b1
- movdqa %xmm4,%xmm5
- pslldq \$8,%xmm4
- psrldq \$8,%xmm5
- pxor %xmm4,%xmm2
- pxor %xmm5,%xmm0
- movdqu %xmm2,0($rp)
- movdqu %xmm0,16($rp)
- ret
- .align 16
- .Lvanilla_mul_2x2:
- lea -8*17(%rsp),%rsp
- ___
- $code.=<<___ if ($win64);
- mov `8*17+40`(%rsp),$b0
- mov %rdi,8*15(%rsp)
- mov %rsi,8*16(%rsp)
- ___
- $code.=<<___;
- mov %r14,8*10(%rsp)
- mov %r13,8*11(%rsp)
- mov %r12,8*12(%rsp)
- mov %rbp,8*13(%rsp)
- mov %rbx,8*14(%rsp)
- .Lbody_mul_2x2:
- mov $rp,32(%rsp) # save the arguments
- mov $a1,40(%rsp)
- mov $a0,48(%rsp)
- mov $b1,56(%rsp)
- mov $b0,64(%rsp)
- mov \$0xf,$mask
- mov $a1,$a
- mov $b1,$b
- call _mul_1x1 # a1·b1
- mov $lo,16(%rsp)
- mov $hi,24(%rsp)
- mov 48(%rsp),$a
- mov 64(%rsp),$b
- call _mul_1x1 # a0·b0
- mov $lo,0(%rsp)
- mov $hi,8(%rsp)
- mov 40(%rsp),$a
- mov 56(%rsp),$b
- xor 48(%rsp),$a
- xor 64(%rsp),$b
- call _mul_1x1 # (a0+a1)·(b0+b1)
- ___
- @r=("%rbx","%rcx","%rdi","%rsi");
- $code.=<<___;
- mov 0(%rsp),@r[0]
- mov 8(%rsp),@r[1]
- mov 16(%rsp),@r[2]
- mov 24(%rsp),@r[3]
- mov 32(%rsp),%rbp
- xor $hi,$lo
- xor @r[1],$hi
- xor @r[0],$lo
- mov @r[0],0(%rbp)
- xor @r[2],$hi
- mov @r[3],24(%rbp)
- xor @r[3],$lo
- xor @r[3],$hi
- xor $hi,$lo
- mov $hi,16(%rbp)
- mov $lo,8(%rbp)
- mov 8*10(%rsp),%r14
- mov 8*11(%rsp),%r13
- mov 8*12(%rsp),%r12
- mov 8*13(%rsp),%rbp
- mov 8*14(%rsp),%rbx
- ___
- $code.=<<___ if ($win64);
- mov 8*15(%rsp),%rdi
- mov 8*16(%rsp),%rsi
- ___
- $code.=<<___;
- lea 8*17(%rsp),%rsp
- ret
- .Lend_mul_2x2:
- .size bn_GF2m_mul_2x2,.-bn_GF2m_mul_2x2
- .asciz "GF(2^m) Multiplication for x86_64, CRYPTOGAMS by <appro\@openssl.org>"
- .align 16
- ___
- # EXCEPTION_DISPOSITION handler (EXCEPTION_RECORD *rec,ULONG64 frame,
- # CONTEXT *context,DISPATCHER_CONTEXT *disp)
- if ($win64) {
- $rec="%rcx";
- $frame="%rdx";
- $context="%r8";
- $disp="%r9";
- $code.=<<___;
- .extern __imp_RtlVirtualUnwind
- .type se_handler,\@abi-omnipotent
- .align 16
- se_handler:
- push %rsi
- push %rdi
- push %rbx
- push %rbp
- push %r12
- push %r13
- push %r14
- push %r15
- pushfq
- sub \$64,%rsp
- mov 152($context),%rax # pull context->Rsp
- mov 248($context),%rbx # pull context->Rip
- lea .Lbody_mul_2x2(%rip),%r10
- cmp %r10,%rbx # context->Rip<"prologue" label
- jb .Lin_prologue
- mov 8*10(%rax),%r14 # mimic epilogue
- mov 8*11(%rax),%r13
- mov 8*12(%rax),%r12
- mov 8*13(%rax),%rbp
- mov 8*14(%rax),%rbx
- mov 8*15(%rax),%rdi
- mov 8*16(%rax),%rsi
- mov %rbx,144($context) # restore context->Rbx
- mov %rbp,160($context) # restore context->Rbp
- mov %rsi,168($context) # restore context->Rsi
- mov %rdi,176($context) # restore context->Rdi
- mov %r12,216($context) # restore context->R12
- mov %r13,224($context) # restore context->R13
- mov %r14,232($context) # restore context->R14
- .Lin_prologue:
- lea 8*17(%rax),%rax
- mov %rax,152($context) # restore context->Rsp
- mov 40($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 se_handler,.-se_handler
- .section .pdata
- .align 4
- .rva _mul_1x1
- .rva .Lend_mul_1x1
- .rva .LSEH_info_1x1
- .rva .Lvanilla_mul_2x2
- .rva .Lend_mul_2x2
- .rva .LSEH_info_2x2
- .section .xdata
- .align 8
- .LSEH_info_1x1:
- .byte 0x01,0x07,0x02,0x00
- .byte 0x07,0x01,0x11,0x00 # sub rsp,128+8
- .LSEH_info_2x2:
- .byte 9,0,0,0
- .rva se_handler
- ___
- }
- $code =~ s/\`([^\`]*)\`/eval($1)/gem;
- print $code;
- close STDOUT;
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