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 19.3 7.7 +150%
24 # Core2 17.8 8.1(**) +120%
26 # VIA Nano 21.8 10.1 +115%
28 # (*) comparison is not completely fair, because C results are
29 # for vanilla "256B" implementation, while assembler results
31 # (**) it's mystery [to me] why Core2 result is not same as for
36 # Add PCLMULQDQ version performing at 2.02 cycles per processed byte.
37 # See ghash-x86.pl for background information and details about coding
40 # Special thanks to David Woodhouse <dwmw2@infradead.org> for
41 # providing access to a Westmere-based system on behalf of Intel
42 # Open Source Technology Centre.
46 if ($flavour =~ /\./) { $output = $flavour; undef $flavour; }
48 $win64=0; $win64=1 if ($flavour =~ /[nm]asm|mingw64/ || $output =~ /\.asm$/);
50 $0 =~ m/(.*[\/\\])[^\/\\]+$/; $dir=$1;
51 ( $xlate="${dir}x86_64-xlate.pl" and -f $xlate ) or
52 ( $xlate="${dir}../../perlasm/x86_64-xlate.pl" and -f $xlate) or
53 die "can't locate x86_64-xlate.pl";
55 open STDOUT,"| \"$^X\" $xlate $flavour $output";
57 # common register layout
68 # per-function register layout
72 sub LB() { my $r=shift; $r =~ s/%[er]([a-d])x/%\1l/ or
73 $r =~ s/%[er]([sd]i)/%\1l/ or
74 $r =~ s/%[er](bp)/%\1l/ or
75 $r =~ s/%(r[0-9]+)[d]?/%\1b/; $r; }
77 sub AUTOLOAD() # thunk [simplified] 32-bit style perlasm
78 { my $opcode = $AUTOLOAD; $opcode =~ s/.*:://;
80 $arg = "\$$arg" if ($arg*1 eq $arg);
81 $code .= "\t$opcode\t".join(',',$arg,reverse @_)."\n";
92 mov `&LB("$Zlo")`,`&LB("$nlo")`
93 mov `&LB("$Zlo")`,`&LB("$nhi")`
96 mov 8($Htbl,$nlo),$Zlo
98 and \$0xf0,`&LB("$nhi")`
107 mov ($inp,$cnt),`&LB("$nlo")`
109 xor 8($Htbl,$nhi),$Zlo
111 xor ($Htbl,$nhi),$Zhi
112 mov `&LB("$nlo")`,`&LB("$nhi")`
113 xor ($rem_4bit,$rem,8),$Zhi
115 shl \$4,`&LB("$nlo")`
124 xor 8($Htbl,$nlo),$Zlo
126 xor ($Htbl,$nlo),$Zhi
127 and \$0xf0,`&LB("$nhi")`
128 xor ($rem_4bit,$rem,8),$Zhi
139 xor 8($Htbl,$nlo),$Zlo
141 xor ($Htbl,$nlo),$Zhi
142 and \$0xf0,`&LB("$nhi")`
143 xor ($rem_4bit,$rem,8),$Zhi
151 xor 8($Htbl,$nhi),$Zlo
153 xor ($Htbl,$nhi),$Zhi
155 xor ($rem_4bit,$rem,8),$Zhi
165 .globl gcm_gmult_4bit
166 .type gcm_gmult_4bit,\@function,2
170 push %rbp # %rbp and %r12 are pushed exclusively in
171 push %r12 # order to reuse Win64 exception handler...
175 lea .Lrem_4bit(%rip),$rem_4bit
186 .size gcm_gmult_4bit,.-gcm_gmult_4bit
189 # per-function register layout
195 .globl gcm_ghash_4bit
196 .type gcm_ghash_4bit,\@function,4
207 mov $inp,%r14 # reassign couple of args
213 my @nhi=("%ebx","%ecx");
214 my @rem=("%r12","%r13");
217 &sub ($Htbl,-128); # size optimization
218 &lea ($Hshr4,"16+128(%rsp)");
219 { my @lo =($nlo,$nhi);
223 for ($i=0,$j=-2;$i<18;$i++,$j++) {
224 &mov ("$j(%rsp)",&LB($dat)) if ($i>1);
225 &or ($lo[0],$tmp) if ($i>1);
226 &mov (&LB($dat),&LB($lo[1])) if ($i>0 && $i<17);
227 &shr ($lo[1],4) if ($i>0 && $i<17);
228 &mov ($tmp,$hi[1]) if ($i>0 && $i<17);
229 &shr ($hi[1],4) if ($i>0 && $i<17);
230 &mov ("8*$j($Hshr4)",$hi[0]) if ($i>1);
231 &mov ($hi[0],"16*$i+0-128($Htbl)") if ($i<16);
232 &shl (&LB($dat),4) if ($i>0 && $i<17);
233 &mov ("8*$j-128($Hshr4)",$lo[0]) if ($i>1);
234 &mov ($lo[0],"16*$i+8-128($Htbl)") if ($i<16);
235 &shl ($tmp,60) if ($i>0 && $i<17);
237 push (@lo,shift(@lo));
238 push (@hi,shift(@hi));
242 &mov ($Zlo,"8($Xi)");
243 &mov ($Zhi,"0($Xi)");
244 &add ($len,$inp); # pointer to the end of data
245 &lea ($rem_8bit,".Lrem_8bit(%rip)");
246 &jmp (".Louter_loop");
248 $code.=".align 16\n.Louter_loop:\n";
249 &xor ($Zhi,"($inp)");
250 &mov ("%rdx","8($inp)");
251 &lea ($inp,"16($inp)");
254 &mov ("8($Xi)","%rdx");
259 &mov (&LB($nlo),&LB($dat));
260 &movz ($nhi[0],&LB($dat));
264 for ($j=11,$i=0;$i<15;$i++) {
266 &xor ($Zlo,"8($Htbl,$nlo)") if ($i>0);
267 &xor ($Zhi,"($Htbl,$nlo)") if ($i>0);
268 &mov ($Zlo,"8($Htbl,$nlo)") if ($i==0);
269 &mov ($Zhi,"($Htbl,$nlo)") if ($i==0);
271 &mov (&LB($nlo),&LB($dat));
272 &xor ($Zlo,$tmp) if ($i>0);
273 &movzw ($rem[1],"($rem_8bit,$rem[1],2)") if ($i>0);
275 &movz ($nhi[1],&LB($dat));
277 &movzb ($rem[0],"(%rsp,$nhi[0])");
279 &shr ($nhi[1],4) if ($i<14);
280 &and ($nhi[1],0xf0) if ($i==14);
281 &shl ($rem[1],48) if ($i>0);
285 &xor ($Zhi,$rem[1]) if ($i>0);
288 &movz ($rem[0],&LB($rem[0]));
289 &mov ($dat,"$j($Xi)") if (--$j%4==0);
292 &xor ($Zlo,"-128($Hshr4,$nhi[0],8)");
294 &xor ($Zhi,"($Hshr4,$nhi[0],8)");
296 unshift (@nhi,pop(@nhi)); # "rotate" registers
297 unshift (@rem,pop(@rem));
299 &movzw ($rem[1],"($rem_8bit,$rem[1],2)");
300 &xor ($Zlo,"8($Htbl,$nlo)");
301 &xor ($Zhi,"($Htbl,$nlo)");
307 &movz ($rem[0],&LB($Zlo));
311 &shl (&LB($rem[0]),4);
314 &xor ($Zlo,"8($Htbl,$nhi[0])");
315 &movzw ($rem[0],"($rem_8bit,$rem[0],2)");
318 &xor ($Zhi,"($Htbl,$nhi[0])");
327 &jb (".Louter_loop");
343 .size gcm_ghash_4bit,.-gcm_ghash_4bit
346 ######################################################################
349 @_4args=$win64? ("%rcx","%rdx","%r8", "%r9") : # Win64 order
350 ("%rdi","%rsi","%rdx","%rcx"); # Unix order
352 ($Xi,$Xhi)=("%xmm0","%xmm1"); $Hkey="%xmm2";
353 ($T1,$T2,$T3)=("%xmm3","%xmm4","%xmm5");
355 sub clmul64x64_T2 { # minimal register pressure
356 my ($Xhi,$Xi,$Hkey,$modulo)=@_;
358 $code.=<<___ if (!defined($modulo));
360 pshufd \$0b01001110,$Xi,$T1
361 pshufd \$0b01001110,$Hkey,$T2
366 pclmulqdq \$0x00,$Hkey,$Xi #######
367 pclmulqdq \$0x11,$Hkey,$Xhi #######
368 pclmulqdq \$0x00,$T2,$T1 #######
380 sub reduction_alg9 { # 17/13 times faster than Intel version
409 { my ($Htbl,$Xip)=@_4args;
412 .globl gcm_init_clmul
413 .type gcm_init_clmul,\@abi-omnipotent
417 pshufd \$0b01001110,$Hkey,$Hkey # dword swap
420 pshufd \$0b11111111,$Hkey,$T2 # broadcast uppermost dword
425 pcmpgtd $T2,$T3 # broadcast carry bit
427 por $T1,$Hkey # H<<=1
430 pand .L0x1c2_polynomial(%rip),$T3
431 pxor $T3,$Hkey # if(carry) H^=0x1c2_polynomial
436 &clmul64x64_T2 ($Xhi,$Xi,$Hkey);
437 &reduction_alg9 ($Xhi,$Xi);
439 movdqu $Hkey,($Htbl) # save H
440 movdqu $Xi,16($Htbl) # save H^2
442 .size gcm_init_clmul,.-gcm_init_clmul
446 { my ($Xip,$Htbl)=@_4args;
449 .globl gcm_gmult_clmul
450 .type gcm_gmult_clmul,\@abi-omnipotent
454 movdqa .Lbswap_mask(%rip),$T3
458 &clmul64x64_T2 ($Xhi,$Xi,$Hkey);
459 &reduction_alg9 ($Xhi,$Xi);
464 .size gcm_gmult_clmul,.-gcm_gmult_clmul
468 { my ($Xip,$Htbl,$inp,$len)=@_4args;
476 .globl gcm_ghash_clmul
477 .type gcm_ghash_clmul,\@abi-omnipotent
481 $code.=<<___ if ($win64);
482 .LSEH_begin_gcm_ghash_clmul:
483 # I can't trust assembler to use specific encoding:-(
484 .byte 0x48,0x83,0xec,0x58 #sub \$0x58,%rsp
485 .byte 0x0f,0x29,0x34,0x24 #movaps %xmm6,(%rsp)
486 .byte 0x0f,0x29,0x7c,0x24,0x10 #movdqa %xmm7,0x10(%rsp)
487 .byte 0x44,0x0f,0x29,0x44,0x24,0x20 #movaps %xmm8,0x20(%rsp)
488 .byte 0x44,0x0f,0x29,0x4c,0x24,0x30 #movaps %xmm9,0x30(%rsp)
489 .byte 0x44,0x0f,0x29,0x54,0x24,0x40 #movaps %xmm10,0x40(%rsp)
492 movdqa .Lbswap_mask(%rip),$T3
501 movdqu 16($Htbl),$Hkey2
503 # Xi+2 =[H*(Ii+1 + Xi+1)] mod P =
504 # [(H*Ii+1) + (H*Xi+1)] mod P =
505 # [(H*Ii+1) + H^2*(Ii+Xi)] mod P
507 movdqu ($inp),$T1 # Ii
508 movdqu 16($inp),$Xn # Ii+1
513 &clmul64x64_T2 ($Xhn,$Xn,$Hkey); # H*Ii+1
516 pshufd \$0b01001110,$Xi,$T1
517 pshufd \$0b01001110,$Hkey2,$T2
521 lea 32($inp),$inp # i+=2
527 &clmul64x64_T2 ($Xhi,$Xi,$Hkey2,1); # H^2*(Ii+Xi)
529 movdqu ($inp),$T1 # Ii
530 pxor $Xn,$Xi # (H*Ii+1) + H^2*(Ii+Xi)
533 movdqu 16($inp),$Xn # Ii+1
538 pshufd \$0b01001110,$Xn,$T1n
539 pshufd \$0b01001110,$Hkey,$T2n
542 pxor $T1,$Xhi # "Ii+Xi", consume early
544 movdqa $Xi,$T1 # 1st phase
549 pclmulqdq \$0x00,$Hkey,$Xn #######
557 pclmulqdq \$0x11,$Hkey,$Xhn #######
558 movdqa $Xi,$T2 # 2nd phase
567 pclmulqdq \$0x00,$T2n,$T1n #######
569 pshufd \$0b01001110,$Xi,$T1
570 pshufd \$0b01001110,$Hkey2,$T2
588 &clmul64x64_T2 ($Xhi,$Xi,$Hkey2,1); # H^2*(Ii+Xi)
590 pxor $Xn,$Xi # (H*Ii+1) + H^2*(Ii+Xi)
593 &reduction_alg9 ($Xhi,$Xi);
599 movdqu ($inp),$T1 # Ii
603 &clmul64x64_T2 ($Xhi,$Xi,$Hkey); # H*(Ii+Xi)
604 &reduction_alg9 ($Xhi,$Xi);
610 $code.=<<___ if ($win64);
612 movaps 0x10(%rsp),%xmm7
613 movaps 0x20(%rsp),%xmm8
614 movaps 0x30(%rsp),%xmm9
615 movaps 0x40(%rsp),%xmm10
620 .LSEH_end_gcm_ghash_clmul:
621 .size gcm_ghash_clmul,.-gcm_ghash_clmul
628 .byte 15,14,13,12,11,10,9,8,7,6,5,4,3,2,1,0
630 .byte 1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0xc2
632 .type .Lrem_4bit,\@object
634 .long 0,`0x0000<<16`,0,`0x1C20<<16`,0,`0x3840<<16`,0,`0x2460<<16`
635 .long 0,`0x7080<<16`,0,`0x6CA0<<16`,0,`0x48C0<<16`,0,`0x54E0<<16`
636 .long 0,`0xE100<<16`,0,`0xFD20<<16`,0,`0xD940<<16`,0,`0xC560<<16`
637 .long 0,`0x9180<<16`,0,`0x8DA0<<16`,0,`0xA9C0<<16`,0,`0xB5E0<<16`
638 .type .Lrem_8bit,\@object
640 .value 0x0000,0x01C2,0x0384,0x0246,0x0708,0x06CA,0x048C,0x054E
641 .value 0x0E10,0x0FD2,0x0D94,0x0C56,0x0918,0x08DA,0x0A9C,0x0B5E
642 .value 0x1C20,0x1DE2,0x1FA4,0x1E66,0x1B28,0x1AEA,0x18AC,0x196E
643 .value 0x1230,0x13F2,0x11B4,0x1076,0x1538,0x14FA,0x16BC,0x177E
644 .value 0x3840,0x3982,0x3BC4,0x3A06,0x3F48,0x3E8A,0x3CCC,0x3D0E
645 .value 0x3650,0x3792,0x35D4,0x3416,0x3158,0x309A,0x32DC,0x331E
646 .value 0x2460,0x25A2,0x27E4,0x2626,0x2368,0x22AA,0x20EC,0x212E
647 .value 0x2A70,0x2BB2,0x29F4,0x2836,0x2D78,0x2CBA,0x2EFC,0x2F3E
648 .value 0x7080,0x7142,0x7304,0x72C6,0x7788,0x764A,0x740C,0x75CE
649 .value 0x7E90,0x7F52,0x7D14,0x7CD6,0x7998,0x785A,0x7A1C,0x7BDE
650 .value 0x6CA0,0x6D62,0x6F24,0x6EE6,0x6BA8,0x6A6A,0x682C,0x69EE
651 .value 0x62B0,0x6372,0x6134,0x60F6,0x65B8,0x647A,0x663C,0x67FE
652 .value 0x48C0,0x4902,0x4B44,0x4A86,0x4FC8,0x4E0A,0x4C4C,0x4D8E
653 .value 0x46D0,0x4712,0x4554,0x4496,0x41D8,0x401A,0x425C,0x439E
654 .value 0x54E0,0x5522,0x5764,0x56A6,0x53E8,0x522A,0x506C,0x51AE
655 .value 0x5AF0,0x5B32,0x5974,0x58B6,0x5DF8,0x5C3A,0x5E7C,0x5FBE
656 .value 0xE100,0xE0C2,0xE284,0xE346,0xE608,0xE7CA,0xE58C,0xE44E
657 .value 0xEF10,0xEED2,0xEC94,0xED56,0xE818,0xE9DA,0xEB9C,0xEA5E
658 .value 0xFD20,0xFCE2,0xFEA4,0xFF66,0xFA28,0xFBEA,0xF9AC,0xF86E
659 .value 0xF330,0xF2F2,0xF0B4,0xF176,0xF438,0xF5FA,0xF7BC,0xF67E
660 .value 0xD940,0xD882,0xDAC4,0xDB06,0xDE48,0xDF8A,0xDDCC,0xDC0E
661 .value 0xD750,0xD692,0xD4D4,0xD516,0xD058,0xD19A,0xD3DC,0xD21E
662 .value 0xC560,0xC4A2,0xC6E4,0xC726,0xC268,0xC3AA,0xC1EC,0xC02E
663 .value 0xCB70,0xCAB2,0xC8F4,0xC936,0xCC78,0xCDBA,0xCFFC,0xCE3E
664 .value 0x9180,0x9042,0x9204,0x93C6,0x9688,0x974A,0x950C,0x94CE
665 .value 0x9F90,0x9E52,0x9C14,0x9DD6,0x9898,0x995A,0x9B1C,0x9ADE
666 .value 0x8DA0,0x8C62,0x8E24,0x8FE6,0x8AA8,0x8B6A,0x892C,0x88EE
667 .value 0x83B0,0x8272,0x8034,0x81F6,0x84B8,0x857A,0x873C,0x86FE
668 .value 0xA9C0,0xA802,0xAA44,0xAB86,0xAEC8,0xAF0A,0xAD4C,0xAC8E
669 .value 0xA7D0,0xA612,0xA454,0xA596,0xA0D8,0xA11A,0xA35C,0xA29E
670 .value 0xB5E0,0xB422,0xB664,0xB7A6,0xB2E8,0xB32A,0xB16C,0xB0AE
671 .value 0xBBF0,0xBA32,0xB874,0xB9B6,0xBCF8,0xBD3A,0xBF7C,0xBEBE
673 .asciz "GHASH for x86_64, CRYPTOGAMS by <appro\@openssl.org>"
677 # EXCEPTION_DISPOSITION handler (EXCEPTION_RECORD *rec,ULONG64 frame,
678 # CONTEXT *context,DISPATCHER_CONTEXT *disp)
686 .extern __imp_RtlVirtualUnwind
687 .type se_handler,\@abi-omnipotent
701 mov 120($context),%rax # pull context->Rax
702 mov 248($context),%rbx # pull context->Rip
704 mov 8($disp),%rsi # disp->ImageBase
705 mov 56($disp),%r11 # disp->HandlerData
707 mov 0(%r11),%r10d # HandlerData[0]
708 lea (%rsi,%r10),%r10 # prologue label
709 cmp %r10,%rbx # context->Rip<prologue label
712 mov 152($context),%rax # pull context->Rsp
714 mov 4(%r11),%r10d # HandlerData[1]
715 lea (%rsi,%r10),%r10 # epilogue label
716 cmp %r10,%rbx # context->Rip>=epilogue label
719 lea 24(%rax),%rax # adjust "rsp"
724 mov %rbx,144($context) # restore context->Rbx
725 mov %rbp,160($context) # restore context->Rbp
726 mov %r12,216($context) # restore context->R12
731 mov %rax,152($context) # restore context->Rsp
732 mov %rsi,168($context) # restore context->Rsi
733 mov %rdi,176($context) # restore context->Rdi
735 mov 40($disp),%rdi # disp->ContextRecord
736 mov $context,%rsi # context
737 mov \$`1232/8`,%ecx # sizeof(CONTEXT)
738 .long 0xa548f3fc # cld; rep movsq
741 xor %rcx,%rcx # arg1, UNW_FLAG_NHANDLER
742 mov 8(%rsi),%rdx # arg2, disp->ImageBase
743 mov 0(%rsi),%r8 # arg3, disp->ControlPc
744 mov 16(%rsi),%r9 # arg4, disp->FunctionEntry
745 mov 40(%rsi),%r10 # disp->ContextRecord
746 lea 56(%rsi),%r11 # &disp->HandlerData
747 lea 24(%rsi),%r12 # &disp->EstablisherFrame
748 mov %r10,32(%rsp) # arg5
749 mov %r11,40(%rsp) # arg6
750 mov %r12,48(%rsp) # arg7
751 mov %rcx,56(%rsp) # arg8, (NULL)
752 call *__imp_RtlVirtualUnwind(%rip)
754 mov \$1,%eax # ExceptionContinueSearch
766 .size se_handler,.-se_handler
770 .rva .LSEH_begin_gcm_gmult_4bit
771 .rva .LSEH_end_gcm_gmult_4bit
772 .rva .LSEH_info_gcm_gmult_4bit
774 .rva .LSEH_begin_gcm_ghash_4bit
775 .rva .LSEH_end_gcm_ghash_4bit
776 .rva .LSEH_info_gcm_ghash_4bit
778 .rva .LSEH_begin_gcm_ghash_clmul
779 .rva .LSEH_end_gcm_ghash_clmul
780 .rva .LSEH_info_gcm_ghash_clmul
784 .LSEH_info_gcm_gmult_4bit:
787 .rva .Lgmult_prologue,.Lgmult_epilogue # HandlerData
788 .LSEH_info_gcm_ghash_4bit:
791 .rva .Lghash_prologue,.Lghash_epilogue # HandlerData
792 .LSEH_info_gcm_ghash_clmul:
793 .byte 0x01,0x1f,0x0b,0x00
794 .byte 0x1f,0xa8,0x04,0x00 #movaps 0x40(rsp),xmm10
795 .byte 0x19,0x98,0x03,0x00 #movaps 0x30(rsp),xmm9
796 .byte 0x13,0x88,0x02,0x00 #movaps 0x20(rsp),xmm8
797 .byte 0x0d,0x78,0x01,0x00 #movaps 0x10(rsp),xmm7
798 .byte 0x08,0x68,0x00,0x00 #movaps (rsp),xmm6
799 .byte 0x04,0xa2,0x00,0x00 #sub rsp,0x58
803 $code =~ s/\`([^\`]*)\`/eval($1)/gem;