3 # ====================================================================
4 # Written by Andy Polyakov <appro@fy.chalmers.se> 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 # Montgomery multiplication routine for x86_64. While it gives modest
13 # 9% improvement of rsa4096 sign on Opteron, rsa512 sign runs more
14 # than twice, >2x, as fast. Most common rsa1024 sign is improved by
15 # respectful 50%. It remains to be seen if loop unrolling and
16 # dedicated squaring routine can provide further improvement...
20 if ($flavour =~ /\./) { $output = $flavour; undef $flavour; }
22 $win64=0; $win64=1 if ($flavour =~ /[nm]asm|mingw64/ || $output =~ /\.asm$/);
24 $0 =~ m/(.*[\/\\])[^\/\\]+$/; $dir=$1;
25 ( $xlate="${dir}x86_64-xlate.pl" and -f $xlate ) or
26 ( $xlate="${dir}../../perlasm/x86_64-xlate.pl" and -f $xlate) or
27 die "can't locate x86_64-xlate.pl";
29 open STDOUT,"| $^X $xlate $flavour $output";
32 $rp="%rdi"; # BN_ULONG *rp,
33 $ap="%rsi"; # const BN_ULONG *ap,
34 $bp="%rdx"; # const BN_ULONG *bp,
35 $np="%rcx"; # const BN_ULONG *np,
36 $n0="%r8"; # const BN_ULONG *n0,
37 $num="%r9"; # int num);
40 $bp="%r12"; # reassign $bp
51 .type bn_mul_mont,\@function,6
65 lea (%rsp,%r10,8),%rsp # tp=alloca(8*(num+2))
66 and \$-1024,%rsp # minimize TLB usage
68 mov %r11,8(%rsp,$num,8) # tp[num+1]=%rsp
70 mov %rdx,$bp # $bp reassigned, remember?
72 mov ($n0),$n0 # pull n0[0] value
77 mov ($bp),$m0 # m0=bp[0]
79 mulq $m0 # ap[0]*bp[0]
83 imulq $n0,%rax # "tp[0]"*n0
87 add $lo0,%rax # discarded
94 mulq $m0 # ap[j]*bp[0]
105 add $lo0,%rax # np[j]*m1+ap[j]*bp[0]
107 mov %rax,-16(%rsp,$j,8) # tp[j-1]
115 mov $hi1,-8(%rsp,$num,8)
116 mov %rdx,(%rsp,$num,8) # store upmost overflow bit
123 mov ($bp,$i,8),$m0 # m0=bp[i]
124 mov ($ap),%rax # ap[0]
125 mulq $m0 # ap[0]*bp[i]
126 add (%rsp),%rax # ap[0]*bp[i]+tp[0]
131 imulq $n0,%rax # tp[0]*n0
134 mulq ($np,$j,8) # np[0]*m1
135 add $lo0,%rax # discarded
136 mov 8(%rsp),$lo0 # tp[1]
144 mulq $m0 # ap[j]*bp[i]
147 add %rax,$lo0 # ap[j]*bp[i]+tp[j]
156 add $lo0,%rax # np[j]*m1+ap[j]*bp[i]+tp[j]
160 mov %rax,-16(%rsp,$j,8) # tp[j-1]
167 add $lo0,$hi1 # pull upmost overflow bit
169 mov $hi1,-8(%rsp,$num,8)
170 mov %rdx,(%rsp,$num,8) # store upmost overflow bit
176 lea (%rsp),$ap # borrow ap for tp
177 lea -1($num),$j # j=num-1
179 mov ($ap),%rax # tp[0]
180 xor $i,$i # i=0 and clear CF!
183 .Lsub: sbb ($np,$i,8),%rax
184 mov %rax,($rp,$i,8) # rp[i]=tp[i]-np[i]
185 dec $j # doesn't affect CF!
186 mov 8($ap,$i,8),%rax # tp[i+1]
190 sbb \$0,%rax # handle upmost overflow bit
196 or $np,$ap # ap=borrow?tp:rp
198 .Lcopy: # copy or in-place refresh
200 mov %rax,($rp,$j,8) # rp[i]=tp[i]
201 mov $i,(%rsp,$j,8) # zap temporary vector
205 mov 8(%rsp,$num,8),%rsi # restore %rsp
216 .size bn_mul_mont,.-bn_mul_mont
217 .asciz "Montgomery Multiplication for x86_64, CRYPTOGAMS by <appro\@openssl.org>"
221 # EXCEPTION_DISPOSITION handler (EXCEPTION_RECORD *rec,ULONG64 frame,
222 # CONTEXT *context,DISPATCHER_CONTEXT *disp)
230 .extern __imp_RtlVirtualUnwind
231 .type se_handler,\@abi-omnipotent
245 mov 120($context),%rax # pull context->Rax
246 mov 248($context),%rbx # pull context->Rip
248 lea .Lprologue(%rip),%r10
249 cmp %r10,%rbx # context->Rip<.Lprologue
252 mov 152($context),%rax # pull context->Rsp
254 lea .Lepilogue(%rip),%r10
255 cmp %r10,%rbx # context->Rip>=.Lepilogue
258 mov 192($context),%r10 # pull $num
259 mov 8(%rax,%r10,8),%rax # pull saved stack pointer
268 mov %rbx,144($context) # restore context->Rbx
269 mov %rbp,160($context) # restore context->Rbp
270 mov %r12,216($context) # restore context->R12
271 mov %r13,224($context) # restore context->R13
272 mov %r14,232($context) # restore context->R14
273 mov %r15,240($context) # restore context->R15
278 mov %rax,152($context) # restore context->Rsp
279 mov %rsi,168($context) # restore context->Rsi
280 mov %rdi,176($context) # restore context->Rdi
282 mov 40($disp),%rdi # disp->ContextRecord
283 mov $context,%rsi # context
284 mov \$154,%ecx # sizeof(CONTEXT)
285 .long 0xa548f3fc # cld; rep movsq
288 xor %rcx,%rcx # arg1, UNW_FLAG_NHANDLER
289 mov 8(%rsi),%rdx # arg2, disp->ImageBase
290 mov 0(%rsi),%r8 # arg3, disp->ControlPc
291 mov 16(%rsi),%r9 # arg4, disp->FunctionEntry
292 mov 40(%rsi),%r10 # disp->ContextRecord
293 lea 56(%rsi),%r11 # &disp->HandlerData
294 lea 24(%rsi),%r12 # &disp->EstablisherFrame
295 mov %r10,32(%rsp) # arg5
296 mov %r11,40(%rsp) # arg6
297 mov %r12,48(%rsp) # arg7
298 mov %rcx,56(%rsp) # arg8, (NULL)
299 call *__imp_RtlVirtualUnwind(%rip)
301 mov \$1,%eax # ExceptionContinueSearch
313 .size se_handler,.-se_handler
317 .rva .LSEH_begin_bn_mul_mont
318 .rva .LSEH_end_bn_mul_mont
319 .rva .LSEH_info_bn_mul_mont
323 .LSEH_info_bn_mul_mont: