3 # ====================================================================
4 # Written by Andy Polyakov <appro@openssl.org> for the OpenSSL
5 # project. The module is, however, dual licensed under OpenSSL and
6 # CRYPTOGAMS licenses depending on where you obtain it. For further
7 # details see http://www.openssl.org/~appro/cryptogams/.
8 # ====================================================================
12 # The module implements "4-bit" GCM GHASH function and underlying
13 # single multiplication operation in GF(2^128). "4-bit" means that
14 # it uses 256 bytes per-key table [+128 bytes shared table]. GHASH
15 # function features so called "528B" variant utilizing additional
16 # 256+16 bytes of per-key storage [+512 bytes shared table].
17 # Performance results are for this streamed GHASH subroutine and are
18 # expressed in cycles per processed byte, less is better:
20 # gcc 3.4.x(*) assembler
23 # Opteron 18.5 7.7 +140%
24 # Core2 17.5 8.1(**) +115%
26 # (*) comparison is not completely fair, because C results are
27 # for vanilla "256B" implementation, not "528B";-)
28 # (**) it's mystery [to me] why Core2 result is not same as for
33 # Add PCLMULQDQ version performing at 2.07 cycles per processed byte.
34 # See ghash-x86.pl for background information and details about coding
37 # Special thanks to David Woodhouse <dwmw2@infradead.org> for
38 # providing access to a Westmere-based system on behalf of Intel
39 # Open Source Technology Centre.
43 if ($flavour =~ /\./) { $output = $flavour; undef $flavour; }
45 $win64=0; $win64=1 if ($flavour =~ /[nm]asm|mingw64/ || $output =~ /\.asm$/);
47 $0 =~ m/(.*[\/\\])[^\/\\]+$/; $dir=$1;
48 ( $xlate="${dir}x86_64-xlate.pl" and -f $xlate ) or
49 ( $xlate="${dir}../../perlasm/x86_64-xlate.pl" and -f $xlate) or
50 die "can't locate x86_64-xlate.pl";
52 open STDOUT,"| $^X $xlate $flavour $output";
54 # common register layout
65 # per-function register layout
69 sub LB() { my $r=shift; $r =~ s/%[er]([a-d])x/%\1l/ or
70 $r =~ s/%[er]([sd]i)/%\1l/ or
71 $r =~ s/%[er](bp)/%\1l/ or
72 $r =~ s/%(r[0-9]+)[d]?/%\1b/; $r; }
74 sub AUTOLOAD() # thunk [simplified] 32-bit style perlasm
75 { my $opcode = $AUTOLOAD; $opcode =~ s/.*:://;
77 $arg = "\$$arg" if ($arg*1 eq $arg);
78 $code .= "\t$opcode\t".join(',',$arg,reverse @_)."\n";
89 mov `&LB("$Zlo")`,`&LB("$nlo")`
90 mov `&LB("$Zlo")`,`&LB("$nhi")`
93 mov 8($Htbl,$nlo),$Zlo
95 and \$0xf0,`&LB("$nhi")`
104 mov ($inp,$cnt),`&LB("$nlo")`
106 xor 8($Htbl,$nhi),$Zlo
108 xor ($Htbl,$nhi),$Zhi
109 mov `&LB("$nlo")`,`&LB("$nhi")`
110 xor ($rem_4bit,$rem,8),$Zhi
112 shl \$4,`&LB("$nlo")`
121 xor 8($Htbl,$nlo),$Zlo
123 xor ($Htbl,$nlo),$Zhi
124 and \$0xf0,`&LB("$nhi")`
125 xor ($rem_4bit,$rem,8),$Zhi
136 xor 8($Htbl,$nlo),$Zlo
138 xor ($Htbl,$nlo),$Zhi
139 and \$0xf0,`&LB("$nhi")`
140 xor ($rem_4bit,$rem,8),$Zhi
148 xor 8($Htbl,$nhi),$Zlo
150 xor ($Htbl,$nhi),$Zhi
152 xor ($rem_4bit,$rem,8),$Zhi
162 .globl gcm_gmult_4bit
163 .type gcm_gmult_4bit,\@function,2
167 push %rbp # %rbp and %r12 are pushed exclusively in
168 push %r12 # order to reuse Win64 exception handler...
172 lea .Lrem_4bit(%rip),$rem_4bit
183 .size gcm_gmult_4bit,.-gcm_gmult_4bit
186 # per-function register layout
192 .globl gcm_ghash_4bit
193 .type gcm_ghash_4bit,\@function,4
204 mov $inp,%r14 # reassign couple of args
210 my @nhi=("%ebx","%ecx");
211 my @rem=("%r12","%r13");
214 &sub ($Htbl,-128); # size optimization
215 &lea ($Hshr4,"16+128(%rsp)");
216 { my @lo =($nlo,$nhi);
220 for ($i=0,$j=-2;$i<18;$i++,$j++) {
221 &mov ("$j(%rsp)",&LB($dat)) if ($i>1);
222 &or ($lo[0],$tmp) if ($i>1);
223 &mov (&LB($dat),&LB($lo[1])) if ($i>0 && $i<17);
224 &shr ($lo[1],4) if ($i>0 && $i<17);
225 &mov ($tmp,$hi[1]) if ($i>0 && $i<17);
226 &shr ($hi[1],4) if ($i>0 && $i<17);
227 &mov ("8*$j($Hshr4)",$hi[0]) if ($i>1);
228 &mov ($hi[0],"16*$i+0-128($Htbl)") if ($i<16);
229 &shl (&LB($dat),4) if ($i>0 && $i<17);
230 &mov ("8*$j-128($Hshr4)",$lo[0]) if ($i>1);
231 &mov ($lo[0],"16*$i+8-128($Htbl)") if ($i<16);
232 &shl ($tmp,60) if ($i>0 && $i<17);
234 push (@lo,shift(@lo));
235 push (@hi,shift(@hi));
239 &mov ($Zlo,"8($Xi)");
240 &mov ($Zhi,"0($Xi)");
241 &add ($len,$inp); # pointer to the end of data
242 &lea ($rem_8bit,".Lrem_8bit(%rip)");
243 &jmp (".Louter_loop");
245 $code.=".align 16\n.Louter_loop:\n";
246 &xor ($Zhi,"($inp)");
247 &mov ("%rdx","8($inp)");
248 &lea ($inp,"16($inp)");
251 &mov ("8($Xi)","%rdx");
256 &mov (&LB($nlo),&LB($dat));
257 &movz ($nhi[0],&LB($dat));
261 for ($j=11,$i=0;$i<15;$i++) {
263 &xor ($Zlo,"8($Htbl,$nlo)") if ($i>0);
264 &xor ($Zhi,"($Htbl,$nlo)") if ($i>0);
265 &mov ($Zlo,"8($Htbl,$nlo)") if ($i==0);
266 &mov ($Zhi,"($Htbl,$nlo)") if ($i==0);
268 &mov (&LB($nlo),&LB($dat));
269 &xor ($Zlo,$tmp) if ($i>0);
270 &movzw ($rem[1],"($rem_8bit,$rem[1],2)") if ($i>0);
272 &movz ($nhi[1],&LB($dat));
274 &movzb ($rem[0],"(%rsp,$nhi[0])");
276 &shr ($nhi[1],4) if ($i<14);
277 &and ($nhi[1],0xf0) if ($i==14);
278 &shl ($rem[1],48) if ($i>0);
282 &xor ($Zhi,$rem[1]) if ($i>0);
285 &movz ($rem[0],&LB($rem[0]));
286 &mov ($dat,"$j($Xi)") if (--$j%4==0);
289 &xor ($Zlo,"-128($Hshr4,$nhi[0],8)");
291 &xor ($Zhi,"($Hshr4,$nhi[0],8)");
293 unshift (@nhi,pop(@nhi)); # "rotate" registers
294 unshift (@rem,pop(@rem));
296 &movzw ($rem[1],"($rem_8bit,$rem[1],2)");
297 &xor ($Zlo,"8($Htbl,$nlo)");
298 &xor ($Zhi,"($Htbl,$nlo)");
304 &movz ($rem[0],&LB($Zlo));
308 &shl (&LB($rem[0]),4);
311 &xor ($Zlo,"8($Htbl,$nhi[0])");
312 &movzw ($rem[0],"($rem_8bit,$rem[0],2)");
315 &xor ($Zhi,"($Htbl,$nhi[0])");
324 &jb (".Louter_loop");
340 .size gcm_ghash_4bit,.-gcm_ghash_4bit
343 ######################################################################
346 @_4args=$win64? ("%rcx","%rdx","%r8", "%r9") : # Win64 order
347 ("%rdi","%rsi","%rdx","%rcx"); # Unix order
349 ($Xi,$Xhi)=("%xmm0","%xmm1"); $Hkey="%xmm2";
350 ($T1,$T2,$T3)=("%xmm3","%xmm4","%xmm5");
352 sub clmul64x64_T2 { # minimal register pressure
353 my ($Xhi,$Xi,$Hkey,$modulo)=@_;
355 $code.=<<___ if (!defined($modulo));
357 pshufd \$0b01001110,$Xi,$T1
358 pshufd \$0b01001110,$Hkey,$T2
363 pclmulqdq \$0x00,$Hkey,$Xi #######
364 pclmulqdq \$0x11,$Hkey,$Xhi #######
365 pclmulqdq \$0x00,$T2,$T1 #######
377 sub reduction_alg9 { # 17/13 times faster than Intel version
406 { my ($Htbl,$Xip)=@_4args;
409 .globl gcm_init_clmul
410 .type gcm_init_clmul,\@abi-omnipotent
414 pshufd \$0b01001110,$Hkey,$Hkey # dword swap
417 pshufd \$0b11111111,$Hkey,$T2 # broadcast uppermost dword
422 pcmpgtd $T2,$T3 # broadcast carry bit
424 por $T1,$Hkey # H<<=1
427 pand .L0x1c2_polynomial(%rip),$T3
428 pxor $T3,$Hkey # if(carry) H^=0x1c2_polynomial
433 &clmul64x64_T2 ($Xhi,$Xi,$Hkey);
434 &reduction_alg9 ($Xhi,$Xi);
436 movdqu $Hkey,($Htbl) # save H
437 movdqu $Xi,16($Htbl) # save H^2
439 .size gcm_init_clmul,.-gcm_init_clmul
443 { my ($Xip,$Htbl)=@_4args;
446 .globl gcm_gmult_clmul
447 .type gcm_gmult_clmul,\@abi-omnipotent
451 movdqa .Lbswap_mask(%rip),$T3
455 &clmul64x64_T2 ($Xhi,$Xi,$Hkey);
456 &reduction_alg9 ($Xhi,$Xi);
461 .size gcm_gmult_clmul,.-gcm_gmult_clmul
465 { my ($Xip,$Htbl,$inp,$len)=@_4args;
473 .globl gcm_ghash_clmul
474 .type gcm_ghash_clmul,\@abi-omnipotent
478 $code.=<<___ if ($win64);
479 .LSEH_begin_gcm_ghash_clmul:
480 # I can't trust assembler to use specific encoding:-(
481 .byte 0x48,0x83,0xec,0x58 #sub \$0x58,%rsp
482 .byte 0x0f,0x29,0x34,0x24 #movaps %xmm6,(%rsp)
483 .byte 0x0f,0x29,0x7c,0x24,0x10 #movdqa %xmm7,0x10(%rsp)
484 .byte 0x44,0x0f,0x29,0x44,0x24,0x20 #movaps %xmm8,0x20(%rsp)
485 .byte 0x44,0x0f,0x29,0x4c,0x24,0x30 #movaps %xmm9,0x30(%rsp)
486 .byte 0x44,0x0f,0x29,0x54,0x24,0x40 #movaps %xmm10,0x40(%rsp)
489 movdqa .Lbswap_mask(%rip),$T3
498 movdqu 16($Htbl),$Hkey2
500 # Xi+2 =[H*(Ii+1 + Xi+1)] mod P =
501 # [(H*Ii+1) + (H*Xi+1)] mod P =
502 # [(H*Ii+1) + H^2*(Ii+Xi)] mod P
504 movdqu ($inp),$T1 # Ii
505 movdqu 16($inp),$Xn # Ii+1
510 &clmul64x64_T2 ($Xhn,$Xn,$Hkey); # H*Ii+1
513 pshufd \$0b01001110,$Xi,$T1
514 pshufd \$0b01001110,$Hkey2,$T2
518 lea 32($inp),$inp # i+=2
524 &clmul64x64_T2 ($Xhi,$Xi,$Hkey2,1); # H^2*(Ii+Xi)
526 movdqu ($inp),$T1 # Ii
527 pxor $Xn,$Xi # (H*Ii+1) + H^2*(Ii+Xi)
530 movdqu 16($inp),$Xn # Ii+1
535 pshufd \$0b01001110,$Xn,$T1n
536 pshufd \$0b01001110,$Hkey,$T2n
539 pxor $T1,$Xhi # "Ii+Xi", consume early
541 movdqa $Xi,$T1 # 1st phase
546 pclmulqdq \$0x00,$Hkey,$Xn #######
554 pclmulqdq \$0x11,$Hkey,$Xhn #######
555 movdqa $Xi,$T2 # 2nd phase
564 pclmulqdq \$0x00,$T2n,$T1n #######
566 pshufd \$0b01001110,$Xi,$T1
567 pshufd \$0b01001110,$Hkey2,$T2
585 &clmul64x64_T2 ($Xhi,$Xi,$Hkey2,1); # H^2*(Ii+Xi)
587 pxor $Xn,$Xi # (H*Ii+1) + H^2*(Ii+Xi)
590 &reduction_alg9 ($Xhi,$Xi);
596 movdqu ($inp),$T1 # Ii
600 &clmul64x64_T2 ($Xhi,$Xi,$Hkey); # H*(Ii+Xi)
601 &reduction_alg9 ($Xhi,$Xi);
607 $code.=<<___ if ($win64);
609 movaps 0x10(%rsp),%xmm7
610 movaps 0x20(%rsp),%xmm8
611 movaps 0x30(%rsp),%xmm9
612 movaps 0x40(%rsp),%xmm10
617 .LSEH_end_gcm_ghash_clmul:
618 .size gcm_ghash_clmul,.-gcm_ghash_clmul
625 .byte 15,14,13,12,11,10,9,8,7,6,5,4,3,2,1,0
627 .byte 1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0xc2
629 .type .Lrem_4bit,\@object
631 .long 0,`0x0000<<16`,0,`0x1C20<<16`,0,`0x3840<<16`,0,`0x2460<<16`
632 .long 0,`0x7080<<16`,0,`0x6CA0<<16`,0,`0x48C0<<16`,0,`0x54E0<<16`
633 .long 0,`0xE100<<16`,0,`0xFD20<<16`,0,`0xD940<<16`,0,`0xC560<<16`
634 .long 0,`0x9180<<16`,0,`0x8DA0<<16`,0,`0xA9C0<<16`,0,`0xB5E0<<16`
635 .type .Lrem_8bit,\@object
637 .value 0x0000,0x01C2,0x0384,0x0246,0x0708,0x06CA,0x048C,0x054E
638 .value 0x0E10,0x0FD2,0x0D94,0x0C56,0x0918,0x08DA,0x0A9C,0x0B5E
639 .value 0x1C20,0x1DE2,0x1FA4,0x1E66,0x1B28,0x1AEA,0x18AC,0x196E
640 .value 0x1230,0x13F2,0x11B4,0x1076,0x1538,0x14FA,0x16BC,0x177E
641 .value 0x3840,0x3982,0x3BC4,0x3A06,0x3F48,0x3E8A,0x3CCC,0x3D0E
642 .value 0x3650,0x3792,0x35D4,0x3416,0x3158,0x309A,0x32DC,0x331E
643 .value 0x2460,0x25A2,0x27E4,0x2626,0x2368,0x22AA,0x20EC,0x212E
644 .value 0x2A70,0x2BB2,0x29F4,0x2836,0x2D78,0x2CBA,0x2EFC,0x2F3E
645 .value 0x7080,0x7142,0x7304,0x72C6,0x7788,0x764A,0x740C,0x75CE
646 .value 0x7E90,0x7F52,0x7D14,0x7CD6,0x7998,0x785A,0x7A1C,0x7BDE
647 .value 0x6CA0,0x6D62,0x6F24,0x6EE6,0x6BA8,0x6A6A,0x682C,0x69EE
648 .value 0x62B0,0x6372,0x6134,0x60F6,0x65B8,0x647A,0x663C,0x67FE
649 .value 0x48C0,0x4902,0x4B44,0x4A86,0x4FC8,0x4E0A,0x4C4C,0x4D8E
650 .value 0x46D0,0x4712,0x4554,0x4496,0x41D8,0x401A,0x425C,0x439E
651 .value 0x54E0,0x5522,0x5764,0x56A6,0x53E8,0x522A,0x506C,0x51AE
652 .value 0x5AF0,0x5B32,0x5974,0x58B6,0x5DF8,0x5C3A,0x5E7C,0x5FBE
653 .value 0xE100,0xE0C2,0xE284,0xE346,0xE608,0xE7CA,0xE58C,0xE44E
654 .value 0xEF10,0xEED2,0xEC94,0xED56,0xE818,0xE9DA,0xEB9C,0xEA5E
655 .value 0xFD20,0xFCE2,0xFEA4,0xFF66,0xFA28,0xFBEA,0xF9AC,0xF86E
656 .value 0xF330,0xF2F2,0xF0B4,0xF176,0xF438,0xF5FA,0xF7BC,0xF67E
657 .value 0xD940,0xD882,0xDAC4,0xDB06,0xDE48,0xDF8A,0xDDCC,0xDC0E
658 .value 0xD750,0xD692,0xD4D4,0xD516,0xD058,0xD19A,0xD3DC,0xD21E
659 .value 0xC560,0xC4A2,0xC6E4,0xC726,0xC268,0xC3AA,0xC1EC,0xC02E
660 .value 0xCB70,0xCAB2,0xC8F4,0xC936,0xCC78,0xCDBA,0xCFFC,0xCE3E
661 .value 0x9180,0x9042,0x9204,0x93C6,0x9688,0x974A,0x950C,0x94CE
662 .value 0x9F90,0x9E52,0x9C14,0x9DD6,0x9898,0x995A,0x9B1C,0x9ADE
663 .value 0x8DA0,0x8C62,0x8E24,0x8FE6,0x8AA8,0x8B6A,0x892C,0x88EE
664 .value 0x83B0,0x8272,0x8034,0x81F6,0x84B8,0x857A,0x873C,0x86FE
665 .value 0xA9C0,0xA802,0xAA44,0xAB86,0xAEC8,0xAF0A,0xAD4C,0xAC8E
666 .value 0xA7D0,0xA612,0xA454,0xA596,0xA0D8,0xA11A,0xA35C,0xA29E
667 .value 0xB5E0,0xB422,0xB664,0xB7A6,0xB2E8,0xB32A,0xB16C,0xB0AE
668 .value 0xBBF0,0xBA32,0xB874,0xB9B6,0xBCF8,0xBD3A,0xBF7C,0xBEBE
670 .asciz "GHASH for x86_64, CRYPTOGAMS by <appro\@openssl.org>"
674 # EXCEPTION_DISPOSITION handler (EXCEPTION_RECORD *rec,ULONG64 frame,
675 # CONTEXT *context,DISPATCHER_CONTEXT *disp)
683 .extern __imp_RtlVirtualUnwind
684 .type se_handler,\@abi-omnipotent
698 mov 120($context),%rax # pull context->Rax
699 mov 248($context),%rbx # pull context->Rip
701 mov 8($disp),%rsi # disp->ImageBase
702 mov 56($disp),%r11 # disp->HandlerData
704 mov 0(%r11),%r10d # HandlerData[0]
705 lea (%rsi,%r10),%r10 # prologue label
706 cmp %r10,%rbx # context->Rip<prologue label
709 mov 152($context),%rax # pull context->Rsp
711 mov 4(%r11),%r10d # HandlerData[1]
712 lea (%rsi,%r10),%r10 # epilogue label
713 cmp %r10,%rbx # context->Rip>=epilogue label
716 lea 24(%rax),%rax # adjust "rsp"
721 mov %rbx,144($context) # restore context->Rbx
722 mov %rbp,160($context) # restore context->Rbp
723 mov %r12,216($context) # restore context->R12
728 mov %rax,152($context) # restore context->Rsp
729 mov %rsi,168($context) # restore context->Rsi
730 mov %rdi,176($context) # restore context->Rdi
732 mov 40($disp),%rdi # disp->ContextRecord
733 mov $context,%rsi # context
734 mov \$`1232/8`,%ecx # sizeof(CONTEXT)
735 .long 0xa548f3fc # cld; rep movsq
738 xor %rcx,%rcx # arg1, UNW_FLAG_NHANDLER
739 mov 8(%rsi),%rdx # arg2, disp->ImageBase
740 mov 0(%rsi),%r8 # arg3, disp->ControlPc
741 mov 16(%rsi),%r9 # arg4, disp->FunctionEntry
742 mov 40(%rsi),%r10 # disp->ContextRecord
743 lea 56(%rsi),%r11 # &disp->HandlerData
744 lea 24(%rsi),%r12 # &disp->EstablisherFrame
745 mov %r10,32(%rsp) # arg5
746 mov %r11,40(%rsp) # arg6
747 mov %r12,48(%rsp) # arg7
748 mov %rcx,56(%rsp) # arg8, (NULL)
749 call *__imp_RtlVirtualUnwind(%rip)
751 mov \$1,%eax # ExceptionContinueSearch
763 .size se_handler,.-se_handler
767 .rva .LSEH_begin_gcm_gmult_4bit
768 .rva .LSEH_end_gcm_gmult_4bit
769 .rva .LSEH_info_gcm_gmult_4bit
771 .rva .LSEH_begin_gcm_ghash_4bit
772 .rva .LSEH_end_gcm_ghash_4bit
773 .rva .LSEH_info_gcm_ghash_4bit
775 .rva .LSEH_begin_gcm_ghash_clmul
776 .rva .LSEH_end_gcm_ghash_clmul
777 .rva .LSEH_info_gcm_ghash_clmul
781 .LSEH_info_gcm_gmult_4bit:
784 .rva .Lgmult_prologue,.Lgmult_epilogue # HandlerData
785 .LSEH_info_gcm_ghash_4bit:
788 .rva .Lghash_prologue,.Lghash_epilogue # HandlerData
789 .LSEH_info_gcm_ghash_clmul:
790 .byte 0x01,0x1f,0x0b,0x00
791 .byte 0x1f,0xa8,0x04,0x00 #movaps 0x40(rsp),xmm10
792 .byte 0x19,0x98,0x03,0x00 #movaps 0x30(rsp),xmm9
793 .byte 0x13,0x88,0x02,0x00 #movaps 0x20(rsp),xmm8
794 .byte 0x0d,0x78,0x01,0x00 #movaps 0x10(rsp),xmm7
795 .byte 0x08,0x68,0x00,0x00 #movaps (rsp),xmm6
796 .byte 0x04,0xa2,0x00,0x00 #sub rsp,0x58
804 if ($dst>=8 || $src>=8) {
806 $rex|=0x04 if($dst>=8);
807 $rex|=0x01 if($src>=8);
816 if ($arg=~/\$([x0-9a-f]+),\s*%xmm([0-9]+),\s*%xmm([0-9]+)/) {
818 push @opcode,0x0f,0x3a,0x44;
819 push @opcode,0xc0|($2&7)|(($3&7)<<3); # ModR/M
821 push @opcode,$c=~/^0/?oct($c):$c;
822 return ".byte\t".join(',',@opcode);
824 return "pclmulqdq\t".$arg;
827 $code =~ s/\`([^\`]*)\`/eval($1)/gem;
828 $code =~ s/\bpclmulqdq\s+(\$.*%xmm[0-9]+).*$/pclmulqdq($1)/gem;