Adam Langley | d9e397b | 2015-01-22 14:27:53 -0800 | [diff] [blame^] | 1 | #!/usr/bin/env perl |
| 2 | |
| 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 | # ==================================================================== |
| 9 | |
| 10 | # August 2011. |
| 11 | # |
| 12 | # Companion to x86_64-mont.pl that optimizes cache-timing attack |
| 13 | # countermeasures. The subroutines are produced by replacing bp[i] |
| 14 | # references in their x86_64-mont.pl counterparts with cache-neutral |
| 15 | # references to powers table computed in BN_mod_exp_mont_consttime. |
| 16 | # In addition subroutine that scatters elements of the powers table |
| 17 | # is implemented, so that scatter-/gathering can be tuned without |
| 18 | # bn_exp.c modifications. |
| 19 | |
| 20 | # August 2013. |
| 21 | # |
| 22 | # Add MULX/AD*X code paths and additional interfaces to optimize for |
| 23 | # branch prediction unit. For input lengths that are multiples of 8 |
| 24 | # the np argument is not just modulus value, but one interleaved |
| 25 | # with 0. This is to optimize post-condition... |
| 26 | |
| 27 | $flavour = shift; |
| 28 | $output = shift; |
| 29 | if ($flavour =~ /\./) { $output = $flavour; undef $flavour; } |
| 30 | |
| 31 | $win64=0; $win64=1 if ($flavour =~ /[nm]asm|mingw64/ || $output =~ /\.asm$/); |
| 32 | |
| 33 | $0 =~ m/(.*[\/\\])[^\/\\]+$/; $dir=$1; |
| 34 | ( $xlate="${dir}x86_64-xlate.pl" and -f $xlate ) or |
| 35 | ( $xlate="${dir}../../perlasm/x86_64-xlate.pl" and -f $xlate) or |
| 36 | die "can't locate x86_64-xlate.pl"; |
| 37 | |
| 38 | open OUT,"| \"$^X\" $xlate $flavour $output"; |
| 39 | *STDOUT=*OUT; |
| 40 | |
| 41 | if (`$ENV{CC} -Wa,-v -c -o /dev/null -x assembler /dev/null 2>&1` |
| 42 | =~ /GNU assembler version ([2-9]\.[0-9]+)/) { |
| 43 | $addx = ($1>=2.23); |
| 44 | } |
| 45 | |
| 46 | if (!$addx && $win64 && ($flavour =~ /nasm/ || $ENV{ASM} =~ /nasm/) && |
| 47 | `nasm -v 2>&1` =~ /NASM version ([2-9]\.[0-9]+)/) { |
| 48 | $addx = ($1>=2.10); |
| 49 | } |
| 50 | |
| 51 | if (!$addx && $win64 && ($flavour =~ /masm/ || $ENV{ASM} =~ /ml64/) && |
| 52 | `ml64 2>&1` =~ /Version ([0-9]+)\./) { |
| 53 | $addx = ($1>=12); |
| 54 | } |
| 55 | |
| 56 | # int bn_mul_mont_gather5( |
| 57 | $rp="%rdi"; # BN_ULONG *rp, |
| 58 | $ap="%rsi"; # const BN_ULONG *ap, |
| 59 | $bp="%rdx"; # const BN_ULONG *bp, |
| 60 | $np="%rcx"; # const BN_ULONG *np, |
| 61 | $n0="%r8"; # const BN_ULONG *n0, |
| 62 | $num="%r9"; # int num, |
| 63 | # int idx); # 0 to 2^5-1, "index" in $bp holding |
| 64 | # pre-computed powers of a', interlaced |
| 65 | # in such manner that b[0] is $bp[idx], |
| 66 | # b[1] is [2^5+idx], etc. |
| 67 | $lo0="%r10"; |
| 68 | $hi0="%r11"; |
| 69 | $hi1="%r13"; |
| 70 | $i="%r14"; |
| 71 | $j="%r15"; |
| 72 | $m0="%rbx"; |
| 73 | $m1="%rbp"; |
| 74 | |
| 75 | $code=<<___; |
| 76 | .text |
| 77 | |
| 78 | .extern OPENSSL_ia32cap_P |
| 79 | |
| 80 | .globl bn_mul_mont_gather5 |
| 81 | .type bn_mul_mont_gather5,\@function,6 |
| 82 | .align 64 |
| 83 | bn_mul_mont_gather5: |
| 84 | test \$7,${num}d |
| 85 | jnz .Lmul_enter |
| 86 | ___ |
| 87 | $code.=<<___ if ($addx); |
| 88 | mov OPENSSL_ia32cap_P+8(%rip),%r11d |
| 89 | ___ |
| 90 | $code.=<<___; |
| 91 | jmp .Lmul4x_enter |
| 92 | |
| 93 | .align 16 |
| 94 | .Lmul_enter: |
| 95 | mov ${num}d,${num}d |
| 96 | mov %rsp,%rax |
| 97 | mov `($win64?56:8)`(%rsp),%r10d # load 7th argument |
| 98 | push %rbx |
| 99 | push %rbp |
| 100 | push %r12 |
| 101 | push %r13 |
| 102 | push %r14 |
| 103 | push %r15 |
| 104 | ___ |
| 105 | $code.=<<___ if ($win64); |
| 106 | lea -0x28(%rsp),%rsp |
| 107 | movaps %xmm6,(%rsp) |
| 108 | movaps %xmm7,0x10(%rsp) |
| 109 | ___ |
| 110 | $code.=<<___; |
| 111 | lea 2($num),%r11 |
| 112 | neg %r11 |
| 113 | lea (%rsp,%r11,8),%rsp # tp=alloca(8*(num+2)) |
| 114 | and \$-1024,%rsp # minimize TLB usage |
| 115 | |
| 116 | mov %rax,8(%rsp,$num,8) # tp[num+1]=%rsp |
| 117 | .Lmul_body: |
| 118 | mov $bp,%r12 # reassign $bp |
| 119 | ___ |
| 120 | $bp="%r12"; |
| 121 | $STRIDE=2**5*8; # 5 is "window size" |
| 122 | $N=$STRIDE/4; # should match cache line size |
| 123 | $code.=<<___; |
| 124 | mov %r10,%r11 |
| 125 | shr \$`log($N/8)/log(2)`,%r10 |
| 126 | and \$`$N/8-1`,%r11 |
| 127 | not %r10 |
| 128 | lea .Lmagic_masks(%rip),%rax |
| 129 | and \$`2**5/($N/8)-1`,%r10 # 5 is "window size" |
| 130 | lea 96($bp,%r11,8),$bp # pointer within 1st cache line |
| 131 | movq 0(%rax,%r10,8),%xmm4 # set of masks denoting which |
| 132 | movq 8(%rax,%r10,8),%xmm5 # cache line contains element |
| 133 | movq 16(%rax,%r10,8),%xmm6 # denoted by 7th argument |
| 134 | movq 24(%rax,%r10,8),%xmm7 |
| 135 | |
| 136 | movq `0*$STRIDE/4-96`($bp),%xmm0 |
| 137 | movq `1*$STRIDE/4-96`($bp),%xmm1 |
| 138 | pand %xmm4,%xmm0 |
| 139 | movq `2*$STRIDE/4-96`($bp),%xmm2 |
| 140 | pand %xmm5,%xmm1 |
| 141 | movq `3*$STRIDE/4-96`($bp),%xmm3 |
| 142 | pand %xmm6,%xmm2 |
| 143 | por %xmm1,%xmm0 |
| 144 | pand %xmm7,%xmm3 |
| 145 | por %xmm2,%xmm0 |
| 146 | lea $STRIDE($bp),$bp |
| 147 | por %xmm3,%xmm0 |
| 148 | |
| 149 | movq %xmm0,$m0 # m0=bp[0] |
| 150 | |
| 151 | mov ($n0),$n0 # pull n0[0] value |
| 152 | mov ($ap),%rax |
| 153 | |
| 154 | xor $i,$i # i=0 |
| 155 | xor $j,$j # j=0 |
| 156 | |
| 157 | movq `0*$STRIDE/4-96`($bp),%xmm0 |
| 158 | movq `1*$STRIDE/4-96`($bp),%xmm1 |
| 159 | pand %xmm4,%xmm0 |
| 160 | movq `2*$STRIDE/4-96`($bp),%xmm2 |
| 161 | pand %xmm5,%xmm1 |
| 162 | |
| 163 | mov $n0,$m1 |
| 164 | mulq $m0 # ap[0]*bp[0] |
| 165 | mov %rax,$lo0 |
| 166 | mov ($np),%rax |
| 167 | |
| 168 | movq `3*$STRIDE/4-96`($bp),%xmm3 |
| 169 | pand %xmm6,%xmm2 |
| 170 | por %xmm1,%xmm0 |
| 171 | pand %xmm7,%xmm3 |
| 172 | |
| 173 | imulq $lo0,$m1 # "tp[0]"*n0 |
| 174 | mov %rdx,$hi0 |
| 175 | |
| 176 | por %xmm2,%xmm0 |
| 177 | lea $STRIDE($bp),$bp |
| 178 | por %xmm3,%xmm0 |
| 179 | |
| 180 | mulq $m1 # np[0]*m1 |
| 181 | add %rax,$lo0 # discarded |
| 182 | mov 8($ap),%rax |
| 183 | adc \$0,%rdx |
| 184 | mov %rdx,$hi1 |
| 185 | |
| 186 | lea 1($j),$j # j++ |
| 187 | jmp .L1st_enter |
| 188 | |
| 189 | .align 16 |
| 190 | .L1st: |
| 191 | add %rax,$hi1 |
| 192 | mov ($ap,$j,8),%rax |
| 193 | adc \$0,%rdx |
| 194 | add $hi0,$hi1 # np[j]*m1+ap[j]*bp[0] |
| 195 | mov $lo0,$hi0 |
| 196 | adc \$0,%rdx |
| 197 | mov $hi1,-16(%rsp,$j,8) # tp[j-1] |
| 198 | mov %rdx,$hi1 |
| 199 | |
| 200 | .L1st_enter: |
| 201 | mulq $m0 # ap[j]*bp[0] |
| 202 | add %rax,$hi0 |
| 203 | mov ($np,$j,8),%rax |
| 204 | adc \$0,%rdx |
| 205 | lea 1($j),$j # j++ |
| 206 | mov %rdx,$lo0 |
| 207 | |
| 208 | mulq $m1 # np[j]*m1 |
| 209 | cmp $num,$j |
| 210 | jne .L1st |
| 211 | |
| 212 | movq %xmm0,$m0 # bp[1] |
| 213 | |
| 214 | add %rax,$hi1 |
| 215 | mov ($ap),%rax # ap[0] |
| 216 | adc \$0,%rdx |
| 217 | add $hi0,$hi1 # np[j]*m1+ap[j]*bp[0] |
| 218 | adc \$0,%rdx |
| 219 | mov $hi1,-16(%rsp,$j,8) # tp[j-1] |
| 220 | mov %rdx,$hi1 |
| 221 | mov $lo0,$hi0 |
| 222 | |
| 223 | xor %rdx,%rdx |
| 224 | add $hi0,$hi1 |
| 225 | adc \$0,%rdx |
| 226 | mov $hi1,-8(%rsp,$num,8) |
| 227 | mov %rdx,(%rsp,$num,8) # store upmost overflow bit |
| 228 | |
| 229 | lea 1($i),$i # i++ |
| 230 | jmp .Louter |
| 231 | .align 16 |
| 232 | .Louter: |
| 233 | xor $j,$j # j=0 |
| 234 | mov $n0,$m1 |
| 235 | mov (%rsp),$lo0 |
| 236 | |
| 237 | movq `0*$STRIDE/4-96`($bp),%xmm0 |
| 238 | movq `1*$STRIDE/4-96`($bp),%xmm1 |
| 239 | pand %xmm4,%xmm0 |
| 240 | movq `2*$STRIDE/4-96`($bp),%xmm2 |
| 241 | pand %xmm5,%xmm1 |
| 242 | |
| 243 | mulq $m0 # ap[0]*bp[i] |
| 244 | add %rax,$lo0 # ap[0]*bp[i]+tp[0] |
| 245 | mov ($np),%rax |
| 246 | adc \$0,%rdx |
| 247 | |
| 248 | movq `3*$STRIDE/4-96`($bp),%xmm3 |
| 249 | pand %xmm6,%xmm2 |
| 250 | por %xmm1,%xmm0 |
| 251 | pand %xmm7,%xmm3 |
| 252 | |
| 253 | imulq $lo0,$m1 # tp[0]*n0 |
| 254 | mov %rdx,$hi0 |
| 255 | |
| 256 | por %xmm2,%xmm0 |
| 257 | lea $STRIDE($bp),$bp |
| 258 | por %xmm3,%xmm0 |
| 259 | |
| 260 | mulq $m1 # np[0]*m1 |
| 261 | add %rax,$lo0 # discarded |
| 262 | mov 8($ap),%rax |
| 263 | adc \$0,%rdx |
| 264 | mov 8(%rsp),$lo0 # tp[1] |
| 265 | mov %rdx,$hi1 |
| 266 | |
| 267 | lea 1($j),$j # j++ |
| 268 | jmp .Linner_enter |
| 269 | |
| 270 | .align 16 |
| 271 | .Linner: |
| 272 | add %rax,$hi1 |
| 273 | mov ($ap,$j,8),%rax |
| 274 | adc \$0,%rdx |
| 275 | add $lo0,$hi1 # np[j]*m1+ap[j]*bp[i]+tp[j] |
| 276 | mov (%rsp,$j,8),$lo0 |
| 277 | adc \$0,%rdx |
| 278 | mov $hi1,-16(%rsp,$j,8) # tp[j-1] |
| 279 | mov %rdx,$hi1 |
| 280 | |
| 281 | .Linner_enter: |
| 282 | mulq $m0 # ap[j]*bp[i] |
| 283 | add %rax,$hi0 |
| 284 | mov ($np,$j,8),%rax |
| 285 | adc \$0,%rdx |
| 286 | add $hi0,$lo0 # ap[j]*bp[i]+tp[j] |
| 287 | mov %rdx,$hi0 |
| 288 | adc \$0,$hi0 |
| 289 | lea 1($j),$j # j++ |
| 290 | |
| 291 | mulq $m1 # np[j]*m1 |
| 292 | cmp $num,$j |
| 293 | jne .Linner |
| 294 | |
| 295 | movq %xmm0,$m0 # bp[i+1] |
| 296 | |
| 297 | add %rax,$hi1 |
| 298 | mov ($ap),%rax # ap[0] |
| 299 | adc \$0,%rdx |
| 300 | add $lo0,$hi1 # np[j]*m1+ap[j]*bp[i]+tp[j] |
| 301 | mov (%rsp,$j,8),$lo0 |
| 302 | adc \$0,%rdx |
| 303 | mov $hi1,-16(%rsp,$j,8) # tp[j-1] |
| 304 | mov %rdx,$hi1 |
| 305 | |
| 306 | xor %rdx,%rdx |
| 307 | add $hi0,$hi1 |
| 308 | adc \$0,%rdx |
| 309 | add $lo0,$hi1 # pull upmost overflow bit |
| 310 | adc \$0,%rdx |
| 311 | mov $hi1,-8(%rsp,$num,8) |
| 312 | mov %rdx,(%rsp,$num,8) # store upmost overflow bit |
| 313 | |
| 314 | lea 1($i),$i # i++ |
| 315 | cmp $num,$i |
| 316 | jb .Louter |
| 317 | |
| 318 | xor $i,$i # i=0 and clear CF! |
| 319 | mov (%rsp),%rax # tp[0] |
| 320 | lea (%rsp),$ap # borrow ap for tp |
| 321 | mov $num,$j # j=num |
| 322 | jmp .Lsub |
| 323 | .align 16 |
| 324 | .Lsub: sbb ($np,$i,8),%rax |
| 325 | mov %rax,($rp,$i,8) # rp[i]=tp[i]-np[i] |
| 326 | mov 8($ap,$i,8),%rax # tp[i+1] |
| 327 | lea 1($i),$i # i++ |
| 328 | dec $j # doesnn't affect CF! |
| 329 | jnz .Lsub |
| 330 | |
| 331 | sbb \$0,%rax # handle upmost overflow bit |
| 332 | xor $i,$i |
| 333 | mov $num,$j # j=num |
| 334 | .align 16 |
| 335 | .Lcopy: # copy or in-place refresh |
| 336 | mov (%rsp,$i,8),$ap |
| 337 | mov ($rp,$i,8),$np |
| 338 | xor $np,$ap # conditional select: |
| 339 | and %rax,$ap # ((ap ^ np) & %rax) ^ np |
| 340 | xor $np,$ap # ap = borrow?tp:rp |
| 341 | mov $i,(%rsp,$i,8) # zap temporary vector |
| 342 | mov $ap,($rp,$i,8) # rp[i]=tp[i] |
| 343 | lea 1($i),$i |
| 344 | sub \$1,$j |
| 345 | jnz .Lcopy |
| 346 | |
| 347 | mov 8(%rsp,$num,8),%rsi # restore %rsp |
| 348 | mov \$1,%rax |
| 349 | ___ |
| 350 | $code.=<<___ if ($win64); |
| 351 | movaps -88(%rsi),%xmm6 |
| 352 | movaps -72(%rsi),%xmm7 |
| 353 | ___ |
| 354 | $code.=<<___; |
| 355 | mov -48(%rsi),%r15 |
| 356 | mov -40(%rsi),%r14 |
| 357 | mov -32(%rsi),%r13 |
| 358 | mov -24(%rsi),%r12 |
| 359 | mov -16(%rsi),%rbp |
| 360 | mov -8(%rsi),%rbx |
| 361 | lea (%rsi),%rsp |
| 362 | .Lmul_epilogue: |
| 363 | ret |
| 364 | .size bn_mul_mont_gather5,.-bn_mul_mont_gather5 |
| 365 | ___ |
| 366 | {{{ |
| 367 | my @A=("%r10","%r11"); |
| 368 | my @N=("%r13","%rdi"); |
| 369 | $code.=<<___; |
| 370 | .type bn_mul4x_mont_gather5,\@function,6 |
| 371 | .align 32 |
| 372 | bn_mul4x_mont_gather5: |
| 373 | .Lmul4x_enter: |
| 374 | ___ |
| 375 | $code.=<<___ if ($addx); |
| 376 | and \$0x80100,%r11d |
| 377 | cmp \$0x80100,%r11d |
| 378 | je .Lmulx4x_enter |
| 379 | ___ |
| 380 | $code.=<<___; |
| 381 | .byte 0x67 |
| 382 | mov %rsp,%rax |
| 383 | push %rbx |
| 384 | push %rbp |
| 385 | push %r12 |
| 386 | push %r13 |
| 387 | push %r14 |
| 388 | push %r15 |
| 389 | ___ |
| 390 | $code.=<<___ if ($win64); |
| 391 | lea -0x28(%rsp),%rsp |
| 392 | movaps %xmm6,(%rsp) |
| 393 | movaps %xmm7,0x10(%rsp) |
| 394 | ___ |
| 395 | $code.=<<___; |
| 396 | .byte 0x67 |
| 397 | mov ${num}d,%r10d |
| 398 | shl \$3,${num}d |
| 399 | shl \$3+2,%r10d # 4*$num |
| 400 | neg $num # -$num |
| 401 | |
| 402 | ############################################################## |
| 403 | # ensure that stack frame doesn't alias with $aptr+4*$num |
| 404 | # modulo 4096, which covers ret[num], am[num] and n[2*num] |
| 405 | # (see bn_exp.c). this is done to allow memory disambiguation |
| 406 | # logic do its magic. [excessive frame is allocated in order |
| 407 | # to allow bn_from_mont8x to clear it.] |
| 408 | # |
| 409 | lea -64(%rsp,$num,2),%r11 |
| 410 | sub $ap,%r11 |
| 411 | and \$4095,%r11 |
| 412 | cmp %r11,%r10 |
| 413 | jb .Lmul4xsp_alt |
| 414 | sub %r11,%rsp # align with $ap |
| 415 | lea -64(%rsp,$num,2),%rsp # alloca(128+num*8) |
| 416 | jmp .Lmul4xsp_done |
| 417 | |
| 418 | .align 32 |
| 419 | .Lmul4xsp_alt: |
| 420 | lea 4096-64(,$num,2),%r10 |
| 421 | lea -64(%rsp,$num,2),%rsp # alloca(128+num*8) |
| 422 | sub %r10,%r11 |
| 423 | mov \$0,%r10 |
| 424 | cmovc %r10,%r11 |
| 425 | sub %r11,%rsp |
| 426 | .Lmul4xsp_done: |
| 427 | and \$-64,%rsp |
| 428 | neg $num |
| 429 | |
| 430 | mov %rax,40(%rsp) |
| 431 | .Lmul4x_body: |
| 432 | |
| 433 | call mul4x_internal |
| 434 | |
| 435 | mov 40(%rsp),%rsi # restore %rsp |
| 436 | mov \$1,%rax |
| 437 | ___ |
| 438 | $code.=<<___ if ($win64); |
| 439 | movaps -88(%rsi),%xmm6 |
| 440 | movaps -72(%rsi),%xmm7 |
| 441 | ___ |
| 442 | $code.=<<___; |
| 443 | mov -48(%rsi),%r15 |
| 444 | mov -40(%rsi),%r14 |
| 445 | mov -32(%rsi),%r13 |
| 446 | mov -24(%rsi),%r12 |
| 447 | mov -16(%rsi),%rbp |
| 448 | mov -8(%rsi),%rbx |
| 449 | lea (%rsi),%rsp |
| 450 | .Lmul4x_epilogue: |
| 451 | ret |
| 452 | .size bn_mul4x_mont_gather5,.-bn_mul4x_mont_gather5 |
| 453 | |
| 454 | .type mul4x_internal,\@abi-omnipotent |
| 455 | .align 32 |
| 456 | mul4x_internal: |
| 457 | shl \$5,$num |
| 458 | mov `($win64?56:8)`(%rax),%r10d # load 7th argument |
| 459 | lea 256(%rdx,$num),%r13 |
| 460 | shr \$5,$num # restore $num |
| 461 | ___ |
| 462 | $bp="%r12"; |
| 463 | $STRIDE=2**5*8; # 5 is "window size" |
| 464 | $N=$STRIDE/4; # should match cache line size |
| 465 | $tp=$i; |
| 466 | $code.=<<___; |
| 467 | mov %r10,%r11 |
| 468 | shr \$`log($N/8)/log(2)`,%r10 |
| 469 | and \$`$N/8-1`,%r11 |
| 470 | not %r10 |
| 471 | lea .Lmagic_masks(%rip),%rax |
| 472 | and \$`2**5/($N/8)-1`,%r10 # 5 is "window size" |
| 473 | lea 96(%rdx,%r11,8),$bp # pointer within 1st cache line |
| 474 | movq 0(%rax,%r10,8),%xmm4 # set of masks denoting which |
| 475 | movq 8(%rax,%r10,8),%xmm5 # cache line contains element |
| 476 | add \$7,%r11 |
| 477 | movq 16(%rax,%r10,8),%xmm6 # denoted by 7th argument |
| 478 | movq 24(%rax,%r10,8),%xmm7 |
| 479 | and \$7,%r11 |
| 480 | |
| 481 | movq `0*$STRIDE/4-96`($bp),%xmm0 |
| 482 | lea $STRIDE($bp),$tp # borrow $tp |
| 483 | movq `1*$STRIDE/4-96`($bp),%xmm1 |
| 484 | pand %xmm4,%xmm0 |
| 485 | movq `2*$STRIDE/4-96`($bp),%xmm2 |
| 486 | pand %xmm5,%xmm1 |
| 487 | movq `3*$STRIDE/4-96`($bp),%xmm3 |
| 488 | pand %xmm6,%xmm2 |
| 489 | .byte 0x67 |
| 490 | por %xmm1,%xmm0 |
| 491 | movq `0*$STRIDE/4-96`($tp),%xmm1 |
| 492 | .byte 0x67 |
| 493 | pand %xmm7,%xmm3 |
| 494 | .byte 0x67 |
| 495 | por %xmm2,%xmm0 |
| 496 | movq `1*$STRIDE/4-96`($tp),%xmm2 |
| 497 | .byte 0x67 |
| 498 | pand %xmm4,%xmm1 |
| 499 | .byte 0x67 |
| 500 | por %xmm3,%xmm0 |
| 501 | movq `2*$STRIDE/4-96`($tp),%xmm3 |
| 502 | |
| 503 | movq %xmm0,$m0 # m0=bp[0] |
| 504 | movq `3*$STRIDE/4-96`($tp),%xmm0 |
| 505 | mov %r13,16+8(%rsp) # save end of b[num] |
| 506 | mov $rp, 56+8(%rsp) # save $rp |
| 507 | |
| 508 | mov ($n0),$n0 # pull n0[0] value |
| 509 | mov ($ap),%rax |
| 510 | lea ($ap,$num),$ap # end of a[num] |
| 511 | neg $num |
| 512 | |
| 513 | mov $n0,$m1 |
| 514 | mulq $m0 # ap[0]*bp[0] |
| 515 | mov %rax,$A[0] |
| 516 | mov ($np),%rax |
| 517 | |
| 518 | pand %xmm5,%xmm2 |
| 519 | pand %xmm6,%xmm3 |
| 520 | por %xmm2,%xmm1 |
| 521 | |
| 522 | imulq $A[0],$m1 # "tp[0]"*n0 |
| 523 | ############################################################## |
| 524 | # $tp is chosen so that writing to top-most element of the |
| 525 | # vector occurs just "above" references to powers table, |
| 526 | # "above" modulo cache-line size, which effectively precludes |
| 527 | # possibility of memory disambiguation logic failure when |
| 528 | # accessing the table. |
| 529 | # |
| 530 | lea 64+8(%rsp,%r11,8),$tp |
| 531 | mov %rdx,$A[1] |
| 532 | |
| 533 | pand %xmm7,%xmm0 |
| 534 | por %xmm3,%xmm1 |
| 535 | lea 2*$STRIDE($bp),$bp |
| 536 | por %xmm1,%xmm0 |
| 537 | |
| 538 | mulq $m1 # np[0]*m1 |
| 539 | add %rax,$A[0] # discarded |
| 540 | mov 8($ap,$num),%rax |
| 541 | adc \$0,%rdx |
| 542 | mov %rdx,$N[1] |
| 543 | |
| 544 | mulq $m0 |
| 545 | add %rax,$A[1] |
| 546 | mov 16*1($np),%rax # interleaved with 0, therefore 16*n |
| 547 | adc \$0,%rdx |
| 548 | mov %rdx,$A[0] |
| 549 | |
| 550 | mulq $m1 |
| 551 | add %rax,$N[1] |
| 552 | mov 16($ap,$num),%rax |
| 553 | adc \$0,%rdx |
| 554 | add $A[1],$N[1] |
| 555 | lea 4*8($num),$j # j=4 |
| 556 | lea 16*4($np),$np |
| 557 | adc \$0,%rdx |
| 558 | mov $N[1],($tp) |
| 559 | mov %rdx,$N[0] |
| 560 | jmp .L1st4x |
| 561 | |
| 562 | .align 32 |
| 563 | .L1st4x: |
| 564 | mulq $m0 # ap[j]*bp[0] |
| 565 | add %rax,$A[0] |
| 566 | mov -16*2($np),%rax |
| 567 | lea 32($tp),$tp |
| 568 | adc \$0,%rdx |
| 569 | mov %rdx,$A[1] |
| 570 | |
| 571 | mulq $m1 # np[j]*m1 |
| 572 | add %rax,$N[0] |
| 573 | mov -8($ap,$j),%rax |
| 574 | adc \$0,%rdx |
| 575 | add $A[0],$N[0] # np[j]*m1+ap[j]*bp[0] |
| 576 | adc \$0,%rdx |
| 577 | mov $N[0],-24($tp) # tp[j-1] |
| 578 | mov %rdx,$N[1] |
| 579 | |
| 580 | mulq $m0 # ap[j]*bp[0] |
| 581 | add %rax,$A[1] |
| 582 | mov -16*1($np),%rax |
| 583 | adc \$0,%rdx |
| 584 | mov %rdx,$A[0] |
| 585 | |
| 586 | mulq $m1 # np[j]*m1 |
| 587 | add %rax,$N[1] |
| 588 | mov ($ap,$j),%rax |
| 589 | adc \$0,%rdx |
| 590 | add $A[1],$N[1] # np[j]*m1+ap[j]*bp[0] |
| 591 | adc \$0,%rdx |
| 592 | mov $N[1],-16($tp) # tp[j-1] |
| 593 | mov %rdx,$N[0] |
| 594 | |
| 595 | mulq $m0 # ap[j]*bp[0] |
| 596 | add %rax,$A[0] |
| 597 | mov 16*0($np),%rax |
| 598 | adc \$0,%rdx |
| 599 | mov %rdx,$A[1] |
| 600 | |
| 601 | mulq $m1 # np[j]*m1 |
| 602 | add %rax,$N[0] |
| 603 | mov 8($ap,$j),%rax |
| 604 | adc \$0,%rdx |
| 605 | add $A[0],$N[0] # np[j]*m1+ap[j]*bp[0] |
| 606 | adc \$0,%rdx |
| 607 | mov $N[0],-8($tp) # tp[j-1] |
| 608 | mov %rdx,$N[1] |
| 609 | |
| 610 | mulq $m0 # ap[j]*bp[0] |
| 611 | add %rax,$A[1] |
| 612 | mov 16*1($np),%rax |
| 613 | adc \$0,%rdx |
| 614 | mov %rdx,$A[0] |
| 615 | |
| 616 | mulq $m1 # np[j]*m1 |
| 617 | add %rax,$N[1] |
| 618 | mov 16($ap,$j),%rax |
| 619 | adc \$0,%rdx |
| 620 | add $A[1],$N[1] # np[j]*m1+ap[j]*bp[0] |
| 621 | lea 16*4($np),$np |
| 622 | adc \$0,%rdx |
| 623 | mov $N[1],($tp) # tp[j-1] |
| 624 | mov %rdx,$N[0] |
| 625 | |
| 626 | add \$32,$j # j+=4 |
| 627 | jnz .L1st4x |
| 628 | |
| 629 | mulq $m0 # ap[j]*bp[0] |
| 630 | add %rax,$A[0] |
| 631 | mov -16*2($np),%rax |
| 632 | lea 32($tp),$tp |
| 633 | adc \$0,%rdx |
| 634 | mov %rdx,$A[1] |
| 635 | |
| 636 | mulq $m1 # np[j]*m1 |
| 637 | add %rax,$N[0] |
| 638 | mov -8($ap),%rax |
| 639 | adc \$0,%rdx |
| 640 | add $A[0],$N[0] # np[j]*m1+ap[j]*bp[0] |
| 641 | adc \$0,%rdx |
| 642 | mov $N[0],-24($tp) # tp[j-1] |
| 643 | mov %rdx,$N[1] |
| 644 | |
| 645 | mulq $m0 # ap[j]*bp[0] |
| 646 | add %rax,$A[1] |
| 647 | mov -16*1($np),%rax |
| 648 | adc \$0,%rdx |
| 649 | mov %rdx,$A[0] |
| 650 | |
| 651 | mulq $m1 # np[j]*m1 |
| 652 | add %rax,$N[1] |
| 653 | mov ($ap,$num),%rax # ap[0] |
| 654 | adc \$0,%rdx |
| 655 | add $A[1],$N[1] # np[j]*m1+ap[j]*bp[0] |
| 656 | adc \$0,%rdx |
| 657 | mov $N[1],-16($tp) # tp[j-1] |
| 658 | mov %rdx,$N[0] |
| 659 | |
| 660 | movq %xmm0,$m0 # bp[1] |
| 661 | lea ($np,$num,2),$np # rewind $np |
| 662 | |
| 663 | xor $N[1],$N[1] |
| 664 | add $A[0],$N[0] |
| 665 | adc \$0,$N[1] |
| 666 | mov $N[0],-8($tp) |
| 667 | |
| 668 | jmp .Louter4x |
| 669 | |
| 670 | .align 32 |
| 671 | .Louter4x: |
| 672 | mov ($tp,$num),$A[0] |
| 673 | mov $n0,$m1 |
| 674 | mulq $m0 # ap[0]*bp[i] |
| 675 | add %rax,$A[0] # ap[0]*bp[i]+tp[0] |
| 676 | mov ($np),%rax |
| 677 | adc \$0,%rdx |
| 678 | |
| 679 | movq `0*$STRIDE/4-96`($bp),%xmm0 |
| 680 | movq `1*$STRIDE/4-96`($bp),%xmm1 |
| 681 | pand %xmm4,%xmm0 |
| 682 | movq `2*$STRIDE/4-96`($bp),%xmm2 |
| 683 | pand %xmm5,%xmm1 |
| 684 | movq `3*$STRIDE/4-96`($bp),%xmm3 |
| 685 | |
| 686 | imulq $A[0],$m1 # tp[0]*n0 |
| 687 | .byte 0x67 |
| 688 | mov %rdx,$A[1] |
| 689 | mov $N[1],($tp) # store upmost overflow bit |
| 690 | |
| 691 | pand %xmm6,%xmm2 |
| 692 | por %xmm1,%xmm0 |
| 693 | pand %xmm7,%xmm3 |
| 694 | por %xmm2,%xmm0 |
| 695 | lea ($tp,$num),$tp # rewind $tp |
| 696 | lea $STRIDE($bp),$bp |
| 697 | por %xmm3,%xmm0 |
| 698 | |
| 699 | mulq $m1 # np[0]*m1 |
| 700 | add %rax,$A[0] # "$N[0]", discarded |
| 701 | mov 8($ap,$num),%rax |
| 702 | adc \$0,%rdx |
| 703 | mov %rdx,$N[1] |
| 704 | |
| 705 | mulq $m0 # ap[j]*bp[i] |
| 706 | add %rax,$A[1] |
| 707 | mov 16*1($np),%rax # interleaved with 0, therefore 16*n |
| 708 | adc \$0,%rdx |
| 709 | add 8($tp),$A[1] # +tp[1] |
| 710 | adc \$0,%rdx |
| 711 | mov %rdx,$A[0] |
| 712 | |
| 713 | mulq $m1 # np[j]*m1 |
| 714 | add %rax,$N[1] |
| 715 | mov 16($ap,$num),%rax |
| 716 | adc \$0,%rdx |
| 717 | add $A[1],$N[1] # np[j]*m1+ap[j]*bp[i]+tp[j] |
| 718 | lea 4*8($num),$j # j=4 |
| 719 | lea 16*4($np),$np |
| 720 | adc \$0,%rdx |
| 721 | mov %rdx,$N[0] |
| 722 | jmp .Linner4x |
| 723 | |
| 724 | .align 32 |
| 725 | .Linner4x: |
| 726 | mulq $m0 # ap[j]*bp[i] |
| 727 | add %rax,$A[0] |
| 728 | mov -16*2($np),%rax |
| 729 | adc \$0,%rdx |
| 730 | add 16($tp),$A[0] # ap[j]*bp[i]+tp[j] |
| 731 | lea 32($tp),$tp |
| 732 | adc \$0,%rdx |
| 733 | mov %rdx,$A[1] |
| 734 | |
| 735 | mulq $m1 # np[j]*m1 |
| 736 | add %rax,$N[0] |
| 737 | mov -8($ap,$j),%rax |
| 738 | adc \$0,%rdx |
| 739 | add $A[0],$N[0] |
| 740 | adc \$0,%rdx |
| 741 | mov $N[1],-32($tp) # tp[j-1] |
| 742 | mov %rdx,$N[1] |
| 743 | |
| 744 | mulq $m0 # ap[j]*bp[i] |
| 745 | add %rax,$A[1] |
| 746 | mov -16*1($np),%rax |
| 747 | adc \$0,%rdx |
| 748 | add -8($tp),$A[1] |
| 749 | adc \$0,%rdx |
| 750 | mov %rdx,$A[0] |
| 751 | |
| 752 | mulq $m1 # np[j]*m1 |
| 753 | add %rax,$N[1] |
| 754 | mov ($ap,$j),%rax |
| 755 | adc \$0,%rdx |
| 756 | add $A[1],$N[1] |
| 757 | adc \$0,%rdx |
| 758 | mov $N[0],-24($tp) # tp[j-1] |
| 759 | mov %rdx,$N[0] |
| 760 | |
| 761 | mulq $m0 # ap[j]*bp[i] |
| 762 | add %rax,$A[0] |
| 763 | mov 16*0($np),%rax |
| 764 | adc \$0,%rdx |
| 765 | add ($tp),$A[0] # ap[j]*bp[i]+tp[j] |
| 766 | adc \$0,%rdx |
| 767 | mov %rdx,$A[1] |
| 768 | |
| 769 | mulq $m1 # np[j]*m1 |
| 770 | add %rax,$N[0] |
| 771 | mov 8($ap,$j),%rax |
| 772 | adc \$0,%rdx |
| 773 | add $A[0],$N[0] |
| 774 | adc \$0,%rdx |
| 775 | mov $N[1],-16($tp) # tp[j-1] |
| 776 | mov %rdx,$N[1] |
| 777 | |
| 778 | mulq $m0 # ap[j]*bp[i] |
| 779 | add %rax,$A[1] |
| 780 | mov 16*1($np),%rax |
| 781 | adc \$0,%rdx |
| 782 | add 8($tp),$A[1] |
| 783 | adc \$0,%rdx |
| 784 | mov %rdx,$A[0] |
| 785 | |
| 786 | mulq $m1 # np[j]*m1 |
| 787 | add %rax,$N[1] |
| 788 | mov 16($ap,$j),%rax |
| 789 | adc \$0,%rdx |
| 790 | add $A[1],$N[1] |
| 791 | lea 16*4($np),$np |
| 792 | adc \$0,%rdx |
| 793 | mov $N[0],-8($tp) # tp[j-1] |
| 794 | mov %rdx,$N[0] |
| 795 | |
| 796 | add \$32,$j # j+=4 |
| 797 | jnz .Linner4x |
| 798 | |
| 799 | mulq $m0 # ap[j]*bp[i] |
| 800 | add %rax,$A[0] |
| 801 | mov -16*2($np),%rax |
| 802 | adc \$0,%rdx |
| 803 | add 16($tp),$A[0] # ap[j]*bp[i]+tp[j] |
| 804 | lea 32($tp),$tp |
| 805 | adc \$0,%rdx |
| 806 | mov %rdx,$A[1] |
| 807 | |
| 808 | mulq $m1 # np[j]*m1 |
| 809 | add %rax,$N[0] |
| 810 | mov -8($ap),%rax |
| 811 | adc \$0,%rdx |
| 812 | add $A[0],$N[0] |
| 813 | adc \$0,%rdx |
| 814 | mov $N[1],-32($tp) # tp[j-1] |
| 815 | mov %rdx,$N[1] |
| 816 | |
| 817 | mulq $m0 # ap[j]*bp[i] |
| 818 | add %rax,$A[1] |
| 819 | mov $m1,%rax |
| 820 | mov -16*1($np),$m1 |
| 821 | adc \$0,%rdx |
| 822 | add -8($tp),$A[1] |
| 823 | adc \$0,%rdx |
| 824 | mov %rdx,$A[0] |
| 825 | |
| 826 | mulq $m1 # np[j]*m1 |
| 827 | add %rax,$N[1] |
| 828 | mov ($ap,$num),%rax # ap[0] |
| 829 | adc \$0,%rdx |
| 830 | add $A[1],$N[1] |
| 831 | adc \$0,%rdx |
| 832 | mov $N[0],-24($tp) # tp[j-1] |
| 833 | mov %rdx,$N[0] |
| 834 | |
| 835 | movq %xmm0,$m0 # bp[i+1] |
| 836 | mov $N[1],-16($tp) # tp[j-1] |
| 837 | lea ($np,$num,2),$np # rewind $np |
| 838 | |
| 839 | xor $N[1],$N[1] |
| 840 | add $A[0],$N[0] |
| 841 | adc \$0,$N[1] |
| 842 | add ($tp),$N[0] # pull upmost overflow bit |
| 843 | adc \$0,$N[1] # upmost overflow bit |
| 844 | mov $N[0],-8($tp) |
| 845 | |
| 846 | cmp 16+8(%rsp),$bp |
| 847 | jb .Louter4x |
| 848 | ___ |
| 849 | if (1) { |
| 850 | $code.=<<___; |
| 851 | sub $N[0],$m1 # compare top-most words |
| 852 | adc $j,$j # $j is zero |
| 853 | or $j,$N[1] |
| 854 | xor \$1,$N[1] |
| 855 | lea ($tp,$num),%rbx # tptr in .sqr4x_sub |
| 856 | lea ($np,$N[1],8),%rbp # nptr in .sqr4x_sub |
| 857 | mov %r9,%rcx |
| 858 | sar \$3+2,%rcx # cf=0 |
| 859 | mov 56+8(%rsp),%rdi # rptr in .sqr4x_sub |
| 860 | jmp .Lsqr4x_sub |
| 861 | ___ |
| 862 | } else { |
| 863 | my @ri=("%rax",$bp,$m0,$m1); |
| 864 | my $rp="%rdx"; |
| 865 | $code.=<<___ |
| 866 | xor \$1,$N[1] |
| 867 | lea ($tp,$num),$tp # rewind $tp |
| 868 | sar \$5,$num # cf=0 |
| 869 | lea ($np,$N[1],8),$np |
| 870 | mov 56+8(%rsp),$rp # restore $rp |
| 871 | jmp .Lsub4x |
| 872 | |
| 873 | .align 32 |
| 874 | .Lsub4x: |
| 875 | .byte 0x66 |
| 876 | mov 8*0($tp),@ri[0] |
| 877 | mov 8*1($tp),@ri[1] |
| 878 | .byte 0x66 |
| 879 | sbb 16*0($np),@ri[0] |
| 880 | mov 8*2($tp),@ri[2] |
| 881 | sbb 16*1($np),@ri[1] |
| 882 | mov 3*8($tp),@ri[3] |
| 883 | lea 4*8($tp),$tp |
| 884 | sbb 16*2($np),@ri[2] |
| 885 | mov @ri[0],8*0($rp) |
| 886 | sbb 16*3($np),@ri[3] |
| 887 | lea 16*4($np),$np |
| 888 | mov @ri[1],8*1($rp) |
| 889 | mov @ri[2],8*2($rp) |
| 890 | mov @ri[3],8*3($rp) |
| 891 | lea 8*4($rp),$rp |
| 892 | |
| 893 | inc $num |
| 894 | jnz .Lsub4x |
| 895 | |
| 896 | ret |
| 897 | ___ |
| 898 | } |
| 899 | $code.=<<___; |
| 900 | .size mul4x_internal,.-mul4x_internal |
| 901 | ___ |
| 902 | }}} |
| 903 | {{{ |
| 904 | ###################################################################### |
| 905 | # void bn_power5( |
| 906 | my $rptr="%rdi"; # BN_ULONG *rptr, |
| 907 | my $aptr="%rsi"; # const BN_ULONG *aptr, |
| 908 | my $bptr="%rdx"; # const void *table, |
| 909 | my $nptr="%rcx"; # const BN_ULONG *nptr, |
| 910 | my $n0 ="%r8"; # const BN_ULONG *n0); |
| 911 | my $num ="%r9"; # int num, has to be divisible by 8 |
| 912 | # int pwr |
| 913 | |
| 914 | my ($i,$j,$tptr)=("%rbp","%rcx",$rptr); |
| 915 | my @A0=("%r10","%r11"); |
| 916 | my @A1=("%r12","%r13"); |
| 917 | my ($a0,$a1,$ai)=("%r14","%r15","%rbx"); |
| 918 | |
| 919 | $code.=<<___; |
| 920 | .globl bn_power5 |
| 921 | .type bn_power5,\@function,6 |
| 922 | .align 32 |
| 923 | bn_power5: |
| 924 | ___ |
| 925 | $code.=<<___ if ($addx); |
| 926 | mov OPENSSL_ia32cap_P+8(%rip),%r11d |
| 927 | and \$0x80100,%r11d |
| 928 | cmp \$0x80100,%r11d |
| 929 | je .Lpowerx5_enter |
| 930 | ___ |
| 931 | $code.=<<___; |
| 932 | mov %rsp,%rax |
| 933 | push %rbx |
| 934 | push %rbp |
| 935 | push %r12 |
| 936 | push %r13 |
| 937 | push %r14 |
| 938 | push %r15 |
| 939 | ___ |
| 940 | $code.=<<___ if ($win64); |
| 941 | lea -0x28(%rsp),%rsp |
| 942 | movaps %xmm6,(%rsp) |
| 943 | movaps %xmm7,0x10(%rsp) |
| 944 | ___ |
| 945 | $code.=<<___; |
| 946 | mov ${num}d,%r10d |
| 947 | shl \$3,${num}d # convert $num to bytes |
| 948 | shl \$3+2,%r10d # 4*$num |
| 949 | neg $num |
| 950 | mov ($n0),$n0 # *n0 |
| 951 | |
| 952 | ############################################################## |
| 953 | # ensure that stack frame doesn't alias with $aptr+4*$num |
| 954 | # modulo 4096, which covers ret[num], am[num] and n[2*num] |
| 955 | # (see bn_exp.c). this is done to allow memory disambiguation |
| 956 | # logic do its magic. |
| 957 | # |
| 958 | lea -64(%rsp,$num,2),%r11 |
| 959 | sub $aptr,%r11 |
| 960 | and \$4095,%r11 |
| 961 | cmp %r11,%r10 |
| 962 | jb .Lpwr_sp_alt |
| 963 | sub %r11,%rsp # align with $aptr |
| 964 | lea -64(%rsp,$num,2),%rsp # alloca(frame+2*$num) |
| 965 | jmp .Lpwr_sp_done |
| 966 | |
| 967 | .align 32 |
| 968 | .Lpwr_sp_alt: |
| 969 | lea 4096-64(,$num,2),%r10 # 4096-frame-2*$num |
| 970 | lea -64(%rsp,$num,2),%rsp # alloca(frame+2*$num) |
| 971 | sub %r10,%r11 |
| 972 | mov \$0,%r10 |
| 973 | cmovc %r10,%r11 |
| 974 | sub %r11,%rsp |
| 975 | .Lpwr_sp_done: |
| 976 | and \$-64,%rsp |
| 977 | mov $num,%r10 |
| 978 | neg $num |
| 979 | |
| 980 | ############################################################## |
| 981 | # Stack layout |
| 982 | # |
| 983 | # +0 saved $num, used in reduction section |
| 984 | # +8 &t[2*$num], used in reduction section |
| 985 | # +32 saved *n0 |
| 986 | # +40 saved %rsp |
| 987 | # +48 t[2*$num] |
| 988 | # |
| 989 | mov $n0, 32(%rsp) |
| 990 | mov %rax, 40(%rsp) # save original %rsp |
| 991 | .Lpower5_body: |
| 992 | movq $rptr,%xmm1 # save $rptr |
| 993 | movq $nptr,%xmm2 # save $nptr |
| 994 | movq %r10, %xmm3 # -$num |
| 995 | movq $bptr,%xmm4 |
| 996 | |
| 997 | call __bn_sqr8x_internal |
| 998 | call __bn_sqr8x_internal |
| 999 | call __bn_sqr8x_internal |
| 1000 | call __bn_sqr8x_internal |
| 1001 | call __bn_sqr8x_internal |
| 1002 | |
| 1003 | movq %xmm2,$nptr |
| 1004 | movq %xmm4,$bptr |
| 1005 | mov $aptr,$rptr |
| 1006 | mov 40(%rsp),%rax |
| 1007 | lea 32(%rsp),$n0 |
| 1008 | |
| 1009 | call mul4x_internal |
| 1010 | |
| 1011 | mov 40(%rsp),%rsi # restore %rsp |
| 1012 | mov \$1,%rax |
| 1013 | mov -48(%rsi),%r15 |
| 1014 | mov -40(%rsi),%r14 |
| 1015 | mov -32(%rsi),%r13 |
| 1016 | mov -24(%rsi),%r12 |
| 1017 | mov -16(%rsi),%rbp |
| 1018 | mov -8(%rsi),%rbx |
| 1019 | lea (%rsi),%rsp |
| 1020 | .Lpower5_epilogue: |
| 1021 | ret |
| 1022 | .size bn_power5,.-bn_power5 |
| 1023 | |
| 1024 | .globl bn_sqr8x_internal |
| 1025 | .hidden bn_sqr8x_internal |
| 1026 | .type bn_sqr8x_internal,\@abi-omnipotent |
| 1027 | .align 32 |
| 1028 | bn_sqr8x_internal: |
| 1029 | __bn_sqr8x_internal: |
| 1030 | ############################################################## |
| 1031 | # Squaring part: |
| 1032 | # |
| 1033 | # a) multiply-n-add everything but a[i]*a[i]; |
| 1034 | # b) shift result of a) by 1 to the left and accumulate |
| 1035 | # a[i]*a[i] products; |
| 1036 | # |
| 1037 | ############################################################## |
| 1038 | # a[1]a[0] |
| 1039 | # a[2]a[0] |
| 1040 | # a[3]a[0] |
| 1041 | # a[2]a[1] |
| 1042 | # a[4]a[0] |
| 1043 | # a[3]a[1] |
| 1044 | # a[5]a[0] |
| 1045 | # a[4]a[1] |
| 1046 | # a[3]a[2] |
| 1047 | # a[6]a[0] |
| 1048 | # a[5]a[1] |
| 1049 | # a[4]a[2] |
| 1050 | # a[7]a[0] |
| 1051 | # a[6]a[1] |
| 1052 | # a[5]a[2] |
| 1053 | # a[4]a[3] |
| 1054 | # a[7]a[1] |
| 1055 | # a[6]a[2] |
| 1056 | # a[5]a[3] |
| 1057 | # a[7]a[2] |
| 1058 | # a[6]a[3] |
| 1059 | # a[5]a[4] |
| 1060 | # a[7]a[3] |
| 1061 | # a[6]a[4] |
| 1062 | # a[7]a[4] |
| 1063 | # a[6]a[5] |
| 1064 | # a[7]a[5] |
| 1065 | # a[7]a[6] |
| 1066 | # a[1]a[0] |
| 1067 | # a[2]a[0] |
| 1068 | # a[3]a[0] |
| 1069 | # a[4]a[0] |
| 1070 | # a[5]a[0] |
| 1071 | # a[6]a[0] |
| 1072 | # a[7]a[0] |
| 1073 | # a[2]a[1] |
| 1074 | # a[3]a[1] |
| 1075 | # a[4]a[1] |
| 1076 | # a[5]a[1] |
| 1077 | # a[6]a[1] |
| 1078 | # a[7]a[1] |
| 1079 | # a[3]a[2] |
| 1080 | # a[4]a[2] |
| 1081 | # a[5]a[2] |
| 1082 | # a[6]a[2] |
| 1083 | # a[7]a[2] |
| 1084 | # a[4]a[3] |
| 1085 | # a[5]a[3] |
| 1086 | # a[6]a[3] |
| 1087 | # a[7]a[3] |
| 1088 | # a[5]a[4] |
| 1089 | # a[6]a[4] |
| 1090 | # a[7]a[4] |
| 1091 | # a[6]a[5] |
| 1092 | # a[7]a[5] |
| 1093 | # a[7]a[6] |
| 1094 | # a[0]a[0] |
| 1095 | # a[1]a[1] |
| 1096 | # a[2]a[2] |
| 1097 | # a[3]a[3] |
| 1098 | # a[4]a[4] |
| 1099 | # a[5]a[5] |
| 1100 | # a[6]a[6] |
| 1101 | # a[7]a[7] |
| 1102 | |
| 1103 | lea 32(%r10),$i # $i=-($num-32) |
| 1104 | lea ($aptr,$num),$aptr # end of a[] buffer, ($aptr,$i)=&ap[2] |
| 1105 | |
| 1106 | mov $num,$j # $j=$num |
| 1107 | |
| 1108 | # comments apply to $num==8 case |
| 1109 | mov -32($aptr,$i),$a0 # a[0] |
| 1110 | lea 48+8(%rsp,$num,2),$tptr # end of tp[] buffer, &tp[2*$num] |
| 1111 | mov -24($aptr,$i),%rax # a[1] |
| 1112 | lea -32($tptr,$i),$tptr # end of tp[] window, &tp[2*$num-"$i"] |
| 1113 | mov -16($aptr,$i),$ai # a[2] |
| 1114 | mov %rax,$a1 |
| 1115 | |
| 1116 | mul $a0 # a[1]*a[0] |
| 1117 | mov %rax,$A0[0] # a[1]*a[0] |
| 1118 | mov $ai,%rax # a[2] |
| 1119 | mov %rdx,$A0[1] |
| 1120 | mov $A0[0],-24($tptr,$i) # t[1] |
| 1121 | |
| 1122 | mul $a0 # a[2]*a[0] |
| 1123 | add %rax,$A0[1] |
| 1124 | mov $ai,%rax |
| 1125 | adc \$0,%rdx |
| 1126 | mov $A0[1],-16($tptr,$i) # t[2] |
| 1127 | mov %rdx,$A0[0] |
| 1128 | |
| 1129 | |
| 1130 | mov -8($aptr,$i),$ai # a[3] |
| 1131 | mul $a1 # a[2]*a[1] |
| 1132 | mov %rax,$A1[0] # a[2]*a[1]+t[3] |
| 1133 | mov $ai,%rax |
| 1134 | mov %rdx,$A1[1] |
| 1135 | |
| 1136 | lea ($i),$j |
| 1137 | mul $a0 # a[3]*a[0] |
| 1138 | add %rax,$A0[0] # a[3]*a[0]+a[2]*a[1]+t[3] |
| 1139 | mov $ai,%rax |
| 1140 | mov %rdx,$A0[1] |
| 1141 | adc \$0,$A0[1] |
| 1142 | add $A1[0],$A0[0] |
| 1143 | adc \$0,$A0[1] |
| 1144 | mov $A0[0],-8($tptr,$j) # t[3] |
| 1145 | jmp .Lsqr4x_1st |
| 1146 | |
| 1147 | .align 32 |
| 1148 | .Lsqr4x_1st: |
| 1149 | mov ($aptr,$j),$ai # a[4] |
| 1150 | mul $a1 # a[3]*a[1] |
| 1151 | add %rax,$A1[1] # a[3]*a[1]+t[4] |
| 1152 | mov $ai,%rax |
| 1153 | mov %rdx,$A1[0] |
| 1154 | adc \$0,$A1[0] |
| 1155 | |
| 1156 | mul $a0 # a[4]*a[0] |
| 1157 | add %rax,$A0[1] # a[4]*a[0]+a[3]*a[1]+t[4] |
| 1158 | mov $ai,%rax # a[3] |
| 1159 | mov 8($aptr,$j),$ai # a[5] |
| 1160 | mov %rdx,$A0[0] |
| 1161 | adc \$0,$A0[0] |
| 1162 | add $A1[1],$A0[1] |
| 1163 | adc \$0,$A0[0] |
| 1164 | |
| 1165 | |
| 1166 | mul $a1 # a[4]*a[3] |
| 1167 | add %rax,$A1[0] # a[4]*a[3]+t[5] |
| 1168 | mov $ai,%rax |
| 1169 | mov $A0[1],($tptr,$j) # t[4] |
| 1170 | mov %rdx,$A1[1] |
| 1171 | adc \$0,$A1[1] |
| 1172 | |
| 1173 | mul $a0 # a[5]*a[2] |
| 1174 | add %rax,$A0[0] # a[5]*a[2]+a[4]*a[3]+t[5] |
| 1175 | mov $ai,%rax |
| 1176 | mov 16($aptr,$j),$ai # a[6] |
| 1177 | mov %rdx,$A0[1] |
| 1178 | adc \$0,$A0[1] |
| 1179 | add $A1[0],$A0[0] |
| 1180 | adc \$0,$A0[1] |
| 1181 | |
| 1182 | mul $a1 # a[5]*a[3] |
| 1183 | add %rax,$A1[1] # a[5]*a[3]+t[6] |
| 1184 | mov $ai,%rax |
| 1185 | mov $A0[0],8($tptr,$j) # t[5] |
| 1186 | mov %rdx,$A1[0] |
| 1187 | adc \$0,$A1[0] |
| 1188 | |
| 1189 | mul $a0 # a[6]*a[2] |
| 1190 | add %rax,$A0[1] # a[6]*a[2]+a[5]*a[3]+t[6] |
| 1191 | mov $ai,%rax # a[3] |
| 1192 | mov 24($aptr,$j),$ai # a[7] |
| 1193 | mov %rdx,$A0[0] |
| 1194 | adc \$0,$A0[0] |
| 1195 | add $A1[1],$A0[1] |
| 1196 | adc \$0,$A0[0] |
| 1197 | |
| 1198 | |
| 1199 | mul $a1 # a[6]*a[5] |
| 1200 | add %rax,$A1[0] # a[6]*a[5]+t[7] |
| 1201 | mov $ai,%rax |
| 1202 | mov $A0[1],16($tptr,$j) # t[6] |
| 1203 | mov %rdx,$A1[1] |
| 1204 | adc \$0,$A1[1] |
| 1205 | lea 32($j),$j |
| 1206 | |
| 1207 | mul $a0 # a[7]*a[4] |
| 1208 | add %rax,$A0[0] # a[7]*a[4]+a[6]*a[5]+t[6] |
| 1209 | mov $ai,%rax |
| 1210 | mov %rdx,$A0[1] |
| 1211 | adc \$0,$A0[1] |
| 1212 | add $A1[0],$A0[0] |
| 1213 | adc \$0,$A0[1] |
| 1214 | mov $A0[0],-8($tptr,$j) # t[7] |
| 1215 | |
| 1216 | cmp \$0,$j |
| 1217 | jne .Lsqr4x_1st |
| 1218 | |
| 1219 | mul $a1 # a[7]*a[5] |
| 1220 | add %rax,$A1[1] |
| 1221 | lea 16($i),$i |
| 1222 | adc \$0,%rdx |
| 1223 | add $A0[1],$A1[1] |
| 1224 | adc \$0,%rdx |
| 1225 | |
| 1226 | mov $A1[1],($tptr) # t[8] |
| 1227 | mov %rdx,$A1[0] |
| 1228 | mov %rdx,8($tptr) # t[9] |
| 1229 | jmp .Lsqr4x_outer |
| 1230 | |
| 1231 | .align 32 |
| 1232 | .Lsqr4x_outer: # comments apply to $num==6 case |
| 1233 | mov -32($aptr,$i),$a0 # a[0] |
| 1234 | lea 48+8(%rsp,$num,2),$tptr # end of tp[] buffer, &tp[2*$num] |
| 1235 | mov -24($aptr,$i),%rax # a[1] |
| 1236 | lea -32($tptr,$i),$tptr # end of tp[] window, &tp[2*$num-"$i"] |
| 1237 | mov -16($aptr,$i),$ai # a[2] |
| 1238 | mov %rax,$a1 |
| 1239 | |
| 1240 | mul $a0 # a[1]*a[0] |
| 1241 | mov -24($tptr,$i),$A0[0] # t[1] |
| 1242 | add %rax,$A0[0] # a[1]*a[0]+t[1] |
| 1243 | mov $ai,%rax # a[2] |
| 1244 | adc \$0,%rdx |
| 1245 | mov $A0[0],-24($tptr,$i) # t[1] |
| 1246 | mov %rdx,$A0[1] |
| 1247 | |
| 1248 | mul $a0 # a[2]*a[0] |
| 1249 | add %rax,$A0[1] |
| 1250 | mov $ai,%rax |
| 1251 | adc \$0,%rdx |
| 1252 | add -16($tptr,$i),$A0[1] # a[2]*a[0]+t[2] |
| 1253 | mov %rdx,$A0[0] |
| 1254 | adc \$0,$A0[0] |
| 1255 | mov $A0[1],-16($tptr,$i) # t[2] |
| 1256 | |
| 1257 | xor $A1[0],$A1[0] |
| 1258 | |
| 1259 | mov -8($aptr,$i),$ai # a[3] |
| 1260 | mul $a1 # a[2]*a[1] |
| 1261 | add %rax,$A1[0] # a[2]*a[1]+t[3] |
| 1262 | mov $ai,%rax |
| 1263 | adc \$0,%rdx |
| 1264 | add -8($tptr,$i),$A1[0] |
| 1265 | mov %rdx,$A1[1] |
| 1266 | adc \$0,$A1[1] |
| 1267 | |
| 1268 | mul $a0 # a[3]*a[0] |
| 1269 | add %rax,$A0[0] # a[3]*a[0]+a[2]*a[1]+t[3] |
| 1270 | mov $ai,%rax |
| 1271 | adc \$0,%rdx |
| 1272 | add $A1[0],$A0[0] |
| 1273 | mov %rdx,$A0[1] |
| 1274 | adc \$0,$A0[1] |
| 1275 | mov $A0[0],-8($tptr,$i) # t[3] |
| 1276 | |
| 1277 | lea ($i),$j |
| 1278 | jmp .Lsqr4x_inner |
| 1279 | |
| 1280 | .align 32 |
| 1281 | .Lsqr4x_inner: |
| 1282 | mov ($aptr,$j),$ai # a[4] |
| 1283 | mul $a1 # a[3]*a[1] |
| 1284 | add %rax,$A1[1] # a[3]*a[1]+t[4] |
| 1285 | mov $ai,%rax |
| 1286 | mov %rdx,$A1[0] |
| 1287 | adc \$0,$A1[0] |
| 1288 | add ($tptr,$j),$A1[1] |
| 1289 | adc \$0,$A1[0] |
| 1290 | |
| 1291 | .byte 0x67 |
| 1292 | mul $a0 # a[4]*a[0] |
| 1293 | add %rax,$A0[1] # a[4]*a[0]+a[3]*a[1]+t[4] |
| 1294 | mov $ai,%rax # a[3] |
| 1295 | mov 8($aptr,$j),$ai # a[5] |
| 1296 | mov %rdx,$A0[0] |
| 1297 | adc \$0,$A0[0] |
| 1298 | add $A1[1],$A0[1] |
| 1299 | adc \$0,$A0[0] |
| 1300 | |
| 1301 | mul $a1 # a[4]*a[3] |
| 1302 | add %rax,$A1[0] # a[4]*a[3]+t[5] |
| 1303 | mov $A0[1],($tptr,$j) # t[4] |
| 1304 | mov $ai,%rax |
| 1305 | mov %rdx,$A1[1] |
| 1306 | adc \$0,$A1[1] |
| 1307 | add 8($tptr,$j),$A1[0] |
| 1308 | lea 16($j),$j # j++ |
| 1309 | adc \$0,$A1[1] |
| 1310 | |
| 1311 | mul $a0 # a[5]*a[2] |
| 1312 | add %rax,$A0[0] # a[5]*a[2]+a[4]*a[3]+t[5] |
| 1313 | mov $ai,%rax |
| 1314 | adc \$0,%rdx |
| 1315 | add $A1[0],$A0[0] |
| 1316 | mov %rdx,$A0[1] |
| 1317 | adc \$0,$A0[1] |
| 1318 | mov $A0[0],-8($tptr,$j) # t[5], "preloaded t[1]" below |
| 1319 | |
| 1320 | cmp \$0,$j |
| 1321 | jne .Lsqr4x_inner |
| 1322 | |
| 1323 | .byte 0x67 |
| 1324 | mul $a1 # a[5]*a[3] |
| 1325 | add %rax,$A1[1] |
| 1326 | adc \$0,%rdx |
| 1327 | add $A0[1],$A1[1] |
| 1328 | adc \$0,%rdx |
| 1329 | |
| 1330 | mov $A1[1],($tptr) # t[6], "preloaded t[2]" below |
| 1331 | mov %rdx,$A1[0] |
| 1332 | mov %rdx,8($tptr) # t[7], "preloaded t[3]" below |
| 1333 | |
| 1334 | add \$16,$i |
| 1335 | jnz .Lsqr4x_outer |
| 1336 | |
| 1337 | # comments apply to $num==4 case |
| 1338 | mov -32($aptr),$a0 # a[0] |
| 1339 | lea 48+8(%rsp,$num,2),$tptr # end of tp[] buffer, &tp[2*$num] |
| 1340 | mov -24($aptr),%rax # a[1] |
| 1341 | lea -32($tptr,$i),$tptr # end of tp[] window, &tp[2*$num-"$i"] |
| 1342 | mov -16($aptr),$ai # a[2] |
| 1343 | mov %rax,$a1 |
| 1344 | |
| 1345 | mul $a0 # a[1]*a[0] |
| 1346 | add %rax,$A0[0] # a[1]*a[0]+t[1], preloaded t[1] |
| 1347 | mov $ai,%rax # a[2] |
| 1348 | mov %rdx,$A0[1] |
| 1349 | adc \$0,$A0[1] |
| 1350 | |
| 1351 | mul $a0 # a[2]*a[0] |
| 1352 | add %rax,$A0[1] |
| 1353 | mov $ai,%rax |
| 1354 | mov $A0[0],-24($tptr) # t[1] |
| 1355 | mov %rdx,$A0[0] |
| 1356 | adc \$0,$A0[0] |
| 1357 | add $A1[1],$A0[1] # a[2]*a[0]+t[2], preloaded t[2] |
| 1358 | mov -8($aptr),$ai # a[3] |
| 1359 | adc \$0,$A0[0] |
| 1360 | |
| 1361 | mul $a1 # a[2]*a[1] |
| 1362 | add %rax,$A1[0] # a[2]*a[1]+t[3], preloaded t[3] |
| 1363 | mov $ai,%rax |
| 1364 | mov $A0[1],-16($tptr) # t[2] |
| 1365 | mov %rdx,$A1[1] |
| 1366 | adc \$0,$A1[1] |
| 1367 | |
| 1368 | mul $a0 # a[3]*a[0] |
| 1369 | add %rax,$A0[0] # a[3]*a[0]+a[2]*a[1]+t[3] |
| 1370 | mov $ai,%rax |
| 1371 | mov %rdx,$A0[1] |
| 1372 | adc \$0,$A0[1] |
| 1373 | add $A1[0],$A0[0] |
| 1374 | adc \$0,$A0[1] |
| 1375 | mov $A0[0],-8($tptr) # t[3] |
| 1376 | |
| 1377 | mul $a1 # a[3]*a[1] |
| 1378 | add %rax,$A1[1] |
| 1379 | mov -16($aptr),%rax # a[2] |
| 1380 | adc \$0,%rdx |
| 1381 | add $A0[1],$A1[1] |
| 1382 | adc \$0,%rdx |
| 1383 | |
| 1384 | mov $A1[1],($tptr) # t[4] |
| 1385 | mov %rdx,$A1[0] |
| 1386 | mov %rdx,8($tptr) # t[5] |
| 1387 | |
| 1388 | mul $ai # a[2]*a[3] |
| 1389 | ___ |
| 1390 | { |
| 1391 | my ($shift,$carry)=($a0,$a1); |
| 1392 | my @S=(@A1,$ai,$n0); |
| 1393 | $code.=<<___; |
| 1394 | add \$16,$i |
| 1395 | xor $shift,$shift |
| 1396 | sub $num,$i # $i=16-$num |
| 1397 | xor $carry,$carry |
| 1398 | |
| 1399 | add $A1[0],%rax # t[5] |
| 1400 | adc \$0,%rdx |
| 1401 | mov %rax,8($tptr) # t[5] |
| 1402 | mov %rdx,16($tptr) # t[6] |
| 1403 | mov $carry,24($tptr) # t[7] |
| 1404 | |
| 1405 | mov -16($aptr,$i),%rax # a[0] |
| 1406 | lea 48+8(%rsp),$tptr |
| 1407 | xor $A0[0],$A0[0] # t[0] |
| 1408 | mov 8($tptr),$A0[1] # t[1] |
| 1409 | |
| 1410 | lea ($shift,$A0[0],2),$S[0] # t[2*i]<<1 | shift |
| 1411 | shr \$63,$A0[0] |
| 1412 | lea ($j,$A0[1],2),$S[1] # t[2*i+1]<<1 | |
| 1413 | shr \$63,$A0[1] |
| 1414 | or $A0[0],$S[1] # | t[2*i]>>63 |
| 1415 | mov 16($tptr),$A0[0] # t[2*i+2] # prefetch |
| 1416 | mov $A0[1],$shift # shift=t[2*i+1]>>63 |
| 1417 | mul %rax # a[i]*a[i] |
| 1418 | neg $carry # mov $carry,cf |
| 1419 | mov 24($tptr),$A0[1] # t[2*i+2+1] # prefetch |
| 1420 | adc %rax,$S[0] |
| 1421 | mov -8($aptr,$i),%rax # a[i+1] # prefetch |
| 1422 | mov $S[0],($tptr) |
| 1423 | adc %rdx,$S[1] |
| 1424 | |
| 1425 | lea ($shift,$A0[0],2),$S[2] # t[2*i]<<1 | shift |
| 1426 | mov $S[1],8($tptr) |
| 1427 | sbb $carry,$carry # mov cf,$carry |
| 1428 | shr \$63,$A0[0] |
| 1429 | lea ($j,$A0[1],2),$S[3] # t[2*i+1]<<1 | |
| 1430 | shr \$63,$A0[1] |
| 1431 | or $A0[0],$S[3] # | t[2*i]>>63 |
| 1432 | mov 32($tptr),$A0[0] # t[2*i+2] # prefetch |
| 1433 | mov $A0[1],$shift # shift=t[2*i+1]>>63 |
| 1434 | mul %rax # a[i]*a[i] |
| 1435 | neg $carry # mov $carry,cf |
| 1436 | mov 40($tptr),$A0[1] # t[2*i+2+1] # prefetch |
| 1437 | adc %rax,$S[2] |
| 1438 | mov 0($aptr,$i),%rax # a[i+1] # prefetch |
| 1439 | mov $S[2],16($tptr) |
| 1440 | adc %rdx,$S[3] |
| 1441 | lea 16($i),$i |
| 1442 | mov $S[3],24($tptr) |
| 1443 | sbb $carry,$carry # mov cf,$carry |
| 1444 | lea 64($tptr),$tptr |
| 1445 | jmp .Lsqr4x_shift_n_add |
| 1446 | |
| 1447 | .align 32 |
| 1448 | .Lsqr4x_shift_n_add: |
| 1449 | lea ($shift,$A0[0],2),$S[0] # t[2*i]<<1 | shift |
| 1450 | shr \$63,$A0[0] |
| 1451 | lea ($j,$A0[1],2),$S[1] # t[2*i+1]<<1 | |
| 1452 | shr \$63,$A0[1] |
| 1453 | or $A0[0],$S[1] # | t[2*i]>>63 |
| 1454 | mov -16($tptr),$A0[0] # t[2*i+2] # prefetch |
| 1455 | mov $A0[1],$shift # shift=t[2*i+1]>>63 |
| 1456 | mul %rax # a[i]*a[i] |
| 1457 | neg $carry # mov $carry,cf |
| 1458 | mov -8($tptr),$A0[1] # t[2*i+2+1] # prefetch |
| 1459 | adc %rax,$S[0] |
| 1460 | mov -8($aptr,$i),%rax # a[i+1] # prefetch |
| 1461 | mov $S[0],-32($tptr) |
| 1462 | adc %rdx,$S[1] |
| 1463 | |
| 1464 | lea ($shift,$A0[0],2),$S[2] # t[2*i]<<1 | shift |
| 1465 | mov $S[1],-24($tptr) |
| 1466 | sbb $carry,$carry # mov cf,$carry |
| 1467 | shr \$63,$A0[0] |
| 1468 | lea ($j,$A0[1],2),$S[3] # t[2*i+1]<<1 | |
| 1469 | shr \$63,$A0[1] |
| 1470 | or $A0[0],$S[3] # | t[2*i]>>63 |
| 1471 | mov 0($tptr),$A0[0] # t[2*i+2] # prefetch |
| 1472 | mov $A0[1],$shift # shift=t[2*i+1]>>63 |
| 1473 | mul %rax # a[i]*a[i] |
| 1474 | neg $carry # mov $carry,cf |
| 1475 | mov 8($tptr),$A0[1] # t[2*i+2+1] # prefetch |
| 1476 | adc %rax,$S[2] |
| 1477 | mov 0($aptr,$i),%rax # a[i+1] # prefetch |
| 1478 | mov $S[2],-16($tptr) |
| 1479 | adc %rdx,$S[3] |
| 1480 | |
| 1481 | lea ($shift,$A0[0],2),$S[0] # t[2*i]<<1 | shift |
| 1482 | mov $S[3],-8($tptr) |
| 1483 | sbb $carry,$carry # mov cf,$carry |
| 1484 | shr \$63,$A0[0] |
| 1485 | lea ($j,$A0[1],2),$S[1] # t[2*i+1]<<1 | |
| 1486 | shr \$63,$A0[1] |
| 1487 | or $A0[0],$S[1] # | t[2*i]>>63 |
| 1488 | mov 16($tptr),$A0[0] # t[2*i+2] # prefetch |
| 1489 | mov $A0[1],$shift # shift=t[2*i+1]>>63 |
| 1490 | mul %rax # a[i]*a[i] |
| 1491 | neg $carry # mov $carry,cf |
| 1492 | mov 24($tptr),$A0[1] # t[2*i+2+1] # prefetch |
| 1493 | adc %rax,$S[0] |
| 1494 | mov 8($aptr,$i),%rax # a[i+1] # prefetch |
| 1495 | mov $S[0],0($tptr) |
| 1496 | adc %rdx,$S[1] |
| 1497 | |
| 1498 | lea ($shift,$A0[0],2),$S[2] # t[2*i]<<1 | shift |
| 1499 | mov $S[1],8($tptr) |
| 1500 | sbb $carry,$carry # mov cf,$carry |
| 1501 | shr \$63,$A0[0] |
| 1502 | lea ($j,$A0[1],2),$S[3] # t[2*i+1]<<1 | |
| 1503 | shr \$63,$A0[1] |
| 1504 | or $A0[0],$S[3] # | t[2*i]>>63 |
| 1505 | mov 32($tptr),$A0[0] # t[2*i+2] # prefetch |
| 1506 | mov $A0[1],$shift # shift=t[2*i+1]>>63 |
| 1507 | mul %rax # a[i]*a[i] |
| 1508 | neg $carry # mov $carry,cf |
| 1509 | mov 40($tptr),$A0[1] # t[2*i+2+1] # prefetch |
| 1510 | adc %rax,$S[2] |
| 1511 | mov 16($aptr,$i),%rax # a[i+1] # prefetch |
| 1512 | mov $S[2],16($tptr) |
| 1513 | adc %rdx,$S[3] |
| 1514 | mov $S[3],24($tptr) |
| 1515 | sbb $carry,$carry # mov cf,$carry |
| 1516 | lea 64($tptr),$tptr |
| 1517 | add \$32,$i |
| 1518 | jnz .Lsqr4x_shift_n_add |
| 1519 | |
| 1520 | lea ($shift,$A0[0],2),$S[0] # t[2*i]<<1 | shift |
| 1521 | .byte 0x67 |
| 1522 | shr \$63,$A0[0] |
| 1523 | lea ($j,$A0[1],2),$S[1] # t[2*i+1]<<1 | |
| 1524 | shr \$63,$A0[1] |
| 1525 | or $A0[0],$S[1] # | t[2*i]>>63 |
| 1526 | mov -16($tptr),$A0[0] # t[2*i+2] # prefetch |
| 1527 | mov $A0[1],$shift # shift=t[2*i+1]>>63 |
| 1528 | mul %rax # a[i]*a[i] |
| 1529 | neg $carry # mov $carry,cf |
| 1530 | mov -8($tptr),$A0[1] # t[2*i+2+1] # prefetch |
| 1531 | adc %rax,$S[0] |
| 1532 | mov -8($aptr),%rax # a[i+1] # prefetch |
| 1533 | mov $S[0],-32($tptr) |
| 1534 | adc %rdx,$S[1] |
| 1535 | |
| 1536 | lea ($shift,$A0[0],2),$S[2] # t[2*i]<<1|shift |
| 1537 | mov $S[1],-24($tptr) |
| 1538 | sbb $carry,$carry # mov cf,$carry |
| 1539 | shr \$63,$A0[0] |
| 1540 | lea ($j,$A0[1],2),$S[3] # t[2*i+1]<<1 | |
| 1541 | shr \$63,$A0[1] |
| 1542 | or $A0[0],$S[3] # | t[2*i]>>63 |
| 1543 | mul %rax # a[i]*a[i] |
| 1544 | neg $carry # mov $carry,cf |
| 1545 | adc %rax,$S[2] |
| 1546 | adc %rdx,$S[3] |
| 1547 | mov $S[2],-16($tptr) |
| 1548 | mov $S[3],-8($tptr) |
| 1549 | ___ |
| 1550 | } |
| 1551 | ###################################################################### |
| 1552 | # Montgomery reduction part, "word-by-word" algorithm. |
| 1553 | # |
| 1554 | # This new path is inspired by multiple submissions from Intel, by |
| 1555 | # Shay Gueron, Vlad Krasnov, Erdinc Ozturk, James Guilford, |
| 1556 | # Vinodh Gopal... |
| 1557 | { |
| 1558 | my ($nptr,$tptr,$carry,$m0)=("%rbp","%rdi","%rsi","%rbx"); |
| 1559 | |
| 1560 | $code.=<<___; |
| 1561 | movq %xmm2,$nptr |
| 1562 | sqr8x_reduction: |
| 1563 | xor %rax,%rax |
| 1564 | lea ($nptr,$num,2),%rcx # end of n[] |
| 1565 | lea 48+8(%rsp,$num,2),%rdx # end of t[] buffer |
| 1566 | mov %rcx,0+8(%rsp) |
| 1567 | lea 48+8(%rsp,$num),$tptr # end of initial t[] window |
| 1568 | mov %rdx,8+8(%rsp) |
| 1569 | neg $num |
| 1570 | jmp .L8x_reduction_loop |
| 1571 | |
| 1572 | .align 32 |
| 1573 | .L8x_reduction_loop: |
| 1574 | lea ($tptr,$num),$tptr # start of current t[] window |
| 1575 | .byte 0x66 |
| 1576 | mov 8*0($tptr),$m0 |
| 1577 | mov 8*1($tptr),%r9 |
| 1578 | mov 8*2($tptr),%r10 |
| 1579 | mov 8*3($tptr),%r11 |
| 1580 | mov 8*4($tptr),%r12 |
| 1581 | mov 8*5($tptr),%r13 |
| 1582 | mov 8*6($tptr),%r14 |
| 1583 | mov 8*7($tptr),%r15 |
| 1584 | mov %rax,(%rdx) # store top-most carry bit |
| 1585 | lea 8*8($tptr),$tptr |
| 1586 | |
| 1587 | .byte 0x67 |
| 1588 | mov $m0,%r8 |
| 1589 | imulq 32+8(%rsp),$m0 # n0*a[0] |
| 1590 | mov 16*0($nptr),%rax # n[0] |
| 1591 | mov \$8,%ecx |
| 1592 | jmp .L8x_reduce |
| 1593 | |
| 1594 | .align 32 |
| 1595 | .L8x_reduce: |
| 1596 | mulq $m0 |
| 1597 | mov 16*1($nptr),%rax # n[1] |
| 1598 | neg %r8 |
| 1599 | mov %rdx,%r8 |
| 1600 | adc \$0,%r8 |
| 1601 | |
| 1602 | mulq $m0 |
| 1603 | add %rax,%r9 |
| 1604 | mov 16*2($nptr),%rax |
| 1605 | adc \$0,%rdx |
| 1606 | add %r9,%r8 |
| 1607 | mov $m0,48-8+8(%rsp,%rcx,8) # put aside n0*a[i] |
| 1608 | mov %rdx,%r9 |
| 1609 | adc \$0,%r9 |
| 1610 | |
| 1611 | mulq $m0 |
| 1612 | add %rax,%r10 |
| 1613 | mov 16*3($nptr),%rax |
| 1614 | adc \$0,%rdx |
| 1615 | add %r10,%r9 |
| 1616 | mov 32+8(%rsp),$carry # pull n0, borrow $carry |
| 1617 | mov %rdx,%r10 |
| 1618 | adc \$0,%r10 |
| 1619 | |
| 1620 | mulq $m0 |
| 1621 | add %rax,%r11 |
| 1622 | mov 16*4($nptr),%rax |
| 1623 | adc \$0,%rdx |
| 1624 | imulq %r8,$carry # modulo-scheduled |
| 1625 | add %r11,%r10 |
| 1626 | mov %rdx,%r11 |
| 1627 | adc \$0,%r11 |
| 1628 | |
| 1629 | mulq $m0 |
| 1630 | add %rax,%r12 |
| 1631 | mov 16*5($nptr),%rax |
| 1632 | adc \$0,%rdx |
| 1633 | add %r12,%r11 |
| 1634 | mov %rdx,%r12 |
| 1635 | adc \$0,%r12 |
| 1636 | |
| 1637 | mulq $m0 |
| 1638 | add %rax,%r13 |
| 1639 | mov 16*6($nptr),%rax |
| 1640 | adc \$0,%rdx |
| 1641 | add %r13,%r12 |
| 1642 | mov %rdx,%r13 |
| 1643 | adc \$0,%r13 |
| 1644 | |
| 1645 | mulq $m0 |
| 1646 | add %rax,%r14 |
| 1647 | mov 16*7($nptr),%rax |
| 1648 | adc \$0,%rdx |
| 1649 | add %r14,%r13 |
| 1650 | mov %rdx,%r14 |
| 1651 | adc \$0,%r14 |
| 1652 | |
| 1653 | mulq $m0 |
| 1654 | mov $carry,$m0 # n0*a[i] |
| 1655 | add %rax,%r15 |
| 1656 | mov 16*0($nptr),%rax # n[0] |
| 1657 | adc \$0,%rdx |
| 1658 | add %r15,%r14 |
| 1659 | mov %rdx,%r15 |
| 1660 | adc \$0,%r15 |
| 1661 | |
| 1662 | dec %ecx |
| 1663 | jnz .L8x_reduce |
| 1664 | |
| 1665 | lea 16*8($nptr),$nptr |
| 1666 | xor %rax,%rax |
| 1667 | mov 8+8(%rsp),%rdx # pull end of t[] |
| 1668 | cmp 0+8(%rsp),$nptr # end of n[]? |
| 1669 | jae .L8x_no_tail |
| 1670 | |
| 1671 | .byte 0x66 |
| 1672 | add 8*0($tptr),%r8 |
| 1673 | adc 8*1($tptr),%r9 |
| 1674 | adc 8*2($tptr),%r10 |
| 1675 | adc 8*3($tptr),%r11 |
| 1676 | adc 8*4($tptr),%r12 |
| 1677 | adc 8*5($tptr),%r13 |
| 1678 | adc 8*6($tptr),%r14 |
| 1679 | adc 8*7($tptr),%r15 |
| 1680 | sbb $carry,$carry # top carry |
| 1681 | |
| 1682 | mov 48+56+8(%rsp),$m0 # pull n0*a[0] |
| 1683 | mov \$8,%ecx |
| 1684 | mov 16*0($nptr),%rax |
| 1685 | jmp .L8x_tail |
| 1686 | |
| 1687 | .align 32 |
| 1688 | .L8x_tail: |
| 1689 | mulq $m0 |
| 1690 | add %rax,%r8 |
| 1691 | mov 16*1($nptr),%rax |
| 1692 | mov %r8,($tptr) # save result |
| 1693 | mov %rdx,%r8 |
| 1694 | adc \$0,%r8 |
| 1695 | |
| 1696 | mulq $m0 |
| 1697 | add %rax,%r9 |
| 1698 | mov 16*2($nptr),%rax |
| 1699 | adc \$0,%rdx |
| 1700 | add %r9,%r8 |
| 1701 | lea 8($tptr),$tptr # $tptr++ |
| 1702 | mov %rdx,%r9 |
| 1703 | adc \$0,%r9 |
| 1704 | |
| 1705 | mulq $m0 |
| 1706 | add %rax,%r10 |
| 1707 | mov 16*3($nptr),%rax |
| 1708 | adc \$0,%rdx |
| 1709 | add %r10,%r9 |
| 1710 | mov %rdx,%r10 |
| 1711 | adc \$0,%r10 |
| 1712 | |
| 1713 | mulq $m0 |
| 1714 | add %rax,%r11 |
| 1715 | mov 16*4($nptr),%rax |
| 1716 | adc \$0,%rdx |
| 1717 | add %r11,%r10 |
| 1718 | mov %rdx,%r11 |
| 1719 | adc \$0,%r11 |
| 1720 | |
| 1721 | mulq $m0 |
| 1722 | add %rax,%r12 |
| 1723 | mov 16*5($nptr),%rax |
| 1724 | adc \$0,%rdx |
| 1725 | add %r12,%r11 |
| 1726 | mov %rdx,%r12 |
| 1727 | adc \$0,%r12 |
| 1728 | |
| 1729 | mulq $m0 |
| 1730 | add %rax,%r13 |
| 1731 | mov 16*6($nptr),%rax |
| 1732 | adc \$0,%rdx |
| 1733 | add %r13,%r12 |
| 1734 | mov %rdx,%r13 |
| 1735 | adc \$0,%r13 |
| 1736 | |
| 1737 | mulq $m0 |
| 1738 | add %rax,%r14 |
| 1739 | mov 16*7($nptr),%rax |
| 1740 | adc \$0,%rdx |
| 1741 | add %r14,%r13 |
| 1742 | mov %rdx,%r14 |
| 1743 | adc \$0,%r14 |
| 1744 | |
| 1745 | mulq $m0 |
| 1746 | mov 48-16+8(%rsp,%rcx,8),$m0# pull n0*a[i] |
| 1747 | add %rax,%r15 |
| 1748 | adc \$0,%rdx |
| 1749 | add %r15,%r14 |
| 1750 | mov 16*0($nptr),%rax # pull n[0] |
| 1751 | mov %rdx,%r15 |
| 1752 | adc \$0,%r15 |
| 1753 | |
| 1754 | dec %ecx |
| 1755 | jnz .L8x_tail |
| 1756 | |
| 1757 | lea 16*8($nptr),$nptr |
| 1758 | mov 8+8(%rsp),%rdx # pull end of t[] |
| 1759 | cmp 0+8(%rsp),$nptr # end of n[]? |
| 1760 | jae .L8x_tail_done # break out of loop |
| 1761 | |
| 1762 | mov 48+56+8(%rsp),$m0 # pull n0*a[0] |
| 1763 | neg $carry |
| 1764 | mov 8*0($nptr),%rax # pull n[0] |
| 1765 | adc 8*0($tptr),%r8 |
| 1766 | adc 8*1($tptr),%r9 |
| 1767 | adc 8*2($tptr),%r10 |
| 1768 | adc 8*3($tptr),%r11 |
| 1769 | adc 8*4($tptr),%r12 |
| 1770 | adc 8*5($tptr),%r13 |
| 1771 | adc 8*6($tptr),%r14 |
| 1772 | adc 8*7($tptr),%r15 |
| 1773 | sbb $carry,$carry # top carry |
| 1774 | |
| 1775 | mov \$8,%ecx |
| 1776 | jmp .L8x_tail |
| 1777 | |
| 1778 | .align 32 |
| 1779 | .L8x_tail_done: |
| 1780 | add (%rdx),%r8 # can this overflow? |
| 1781 | xor %rax,%rax |
| 1782 | |
| 1783 | neg $carry |
| 1784 | .L8x_no_tail: |
| 1785 | adc 8*0($tptr),%r8 |
| 1786 | adc 8*1($tptr),%r9 |
| 1787 | adc 8*2($tptr),%r10 |
| 1788 | adc 8*3($tptr),%r11 |
| 1789 | adc 8*4($tptr),%r12 |
| 1790 | adc 8*5($tptr),%r13 |
| 1791 | adc 8*6($tptr),%r14 |
| 1792 | adc 8*7($tptr),%r15 |
| 1793 | adc \$0,%rax # top-most carry |
| 1794 | mov -16($nptr),%rcx # np[num-1] |
| 1795 | xor $carry,$carry |
| 1796 | |
| 1797 | movq %xmm2,$nptr # restore $nptr |
| 1798 | |
| 1799 | mov %r8,8*0($tptr) # store top 512 bits |
| 1800 | mov %r9,8*1($tptr) |
| 1801 | movq %xmm3,$num # $num is %r9, can't be moved upwards |
| 1802 | mov %r10,8*2($tptr) |
| 1803 | mov %r11,8*3($tptr) |
| 1804 | mov %r12,8*4($tptr) |
| 1805 | mov %r13,8*5($tptr) |
| 1806 | mov %r14,8*6($tptr) |
| 1807 | mov %r15,8*7($tptr) |
| 1808 | lea 8*8($tptr),$tptr |
| 1809 | |
| 1810 | cmp %rdx,$tptr # end of t[]? |
| 1811 | jb .L8x_reduction_loop |
| 1812 | ___ |
| 1813 | } |
| 1814 | ############################################################## |
| 1815 | # Post-condition, 4x unrolled |
| 1816 | # |
| 1817 | { |
| 1818 | my ($tptr,$nptr)=("%rbx","%rbp"); |
| 1819 | $code.=<<___; |
| 1820 | #xor %rsi,%rsi # %rsi was $carry above |
| 1821 | sub %r15,%rcx # compare top-most words |
| 1822 | lea (%rdi,$num),$tptr # %rdi was $tptr above |
| 1823 | adc %rsi,%rsi |
| 1824 | mov $num,%rcx |
| 1825 | or %rsi,%rax |
| 1826 | movq %xmm1,$rptr # restore $rptr |
| 1827 | xor \$1,%rax |
| 1828 | movq %xmm1,$aptr # prepare for back-to-back call |
| 1829 | lea ($nptr,%rax,8),$nptr |
| 1830 | sar \$3+2,%rcx # cf=0 |
| 1831 | jmp .Lsqr4x_sub |
| 1832 | |
| 1833 | .align 32 |
| 1834 | .Lsqr4x_sub: |
| 1835 | .byte 0x66 |
| 1836 | mov 8*0($tptr),%r12 |
| 1837 | mov 8*1($tptr),%r13 |
| 1838 | sbb 16*0($nptr),%r12 |
| 1839 | mov 8*2($tptr),%r14 |
| 1840 | sbb 16*1($nptr),%r13 |
| 1841 | mov 8*3($tptr),%r15 |
| 1842 | lea 8*4($tptr),$tptr |
| 1843 | sbb 16*2($nptr),%r14 |
| 1844 | mov %r12,8*0($rptr) |
| 1845 | sbb 16*3($nptr),%r15 |
| 1846 | lea 16*4($nptr),$nptr |
| 1847 | mov %r13,8*1($rptr) |
| 1848 | mov %r14,8*2($rptr) |
| 1849 | mov %r15,8*3($rptr) |
| 1850 | lea 8*4($rptr),$rptr |
| 1851 | |
| 1852 | inc %rcx # pass %cf |
| 1853 | jnz .Lsqr4x_sub |
| 1854 | ___ |
| 1855 | } |
| 1856 | $code.=<<___; |
| 1857 | mov $num,%r10 # prepare for back-to-back call |
| 1858 | neg $num # restore $num |
| 1859 | ret |
| 1860 | .size bn_sqr8x_internal,.-bn_sqr8x_internal |
| 1861 | ___ |
| 1862 | { |
| 1863 | $code.=<<___; |
| 1864 | .globl bn_from_montgomery |
| 1865 | .type bn_from_montgomery,\@abi-omnipotent |
| 1866 | .align 32 |
| 1867 | bn_from_montgomery: |
| 1868 | testl \$7,`($win64?"48(%rsp)":"%r9d")` |
| 1869 | jz bn_from_mont8x |
| 1870 | xor %eax,%eax |
| 1871 | ret |
| 1872 | .size bn_from_montgomery,.-bn_from_montgomery |
| 1873 | |
| 1874 | .type bn_from_mont8x,\@function,6 |
| 1875 | .align 32 |
| 1876 | bn_from_mont8x: |
| 1877 | .byte 0x67 |
| 1878 | mov %rsp,%rax |
| 1879 | push %rbx |
| 1880 | push %rbp |
| 1881 | push %r12 |
| 1882 | push %r13 |
| 1883 | push %r14 |
| 1884 | push %r15 |
| 1885 | ___ |
| 1886 | $code.=<<___ if ($win64); |
| 1887 | lea -0x28(%rsp),%rsp |
| 1888 | movaps %xmm6,(%rsp) |
| 1889 | movaps %xmm7,0x10(%rsp) |
| 1890 | ___ |
| 1891 | $code.=<<___; |
| 1892 | .byte 0x67 |
| 1893 | mov ${num}d,%r10d |
| 1894 | shl \$3,${num}d # convert $num to bytes |
| 1895 | shl \$3+2,%r10d # 4*$num |
| 1896 | neg $num |
| 1897 | mov ($n0),$n0 # *n0 |
| 1898 | |
| 1899 | ############################################################## |
| 1900 | # ensure that stack frame doesn't alias with $aptr+4*$num |
| 1901 | # modulo 4096, which covers ret[num], am[num] and n[2*num] |
| 1902 | # (see bn_exp.c). this is done to allow memory disambiguation |
| 1903 | # logic do its magic. |
| 1904 | # |
| 1905 | lea -64(%rsp,$num,2),%r11 |
| 1906 | sub $aptr,%r11 |
| 1907 | and \$4095,%r11 |
| 1908 | cmp %r11,%r10 |
| 1909 | jb .Lfrom_sp_alt |
| 1910 | sub %r11,%rsp # align with $aptr |
| 1911 | lea -64(%rsp,$num,2),%rsp # alloca(frame+2*$num) |
| 1912 | jmp .Lfrom_sp_done |
| 1913 | |
| 1914 | .align 32 |
| 1915 | .Lfrom_sp_alt: |
| 1916 | lea 4096-64(,$num,2),%r10 # 4096-frame-2*$num |
| 1917 | lea -64(%rsp,$num,2),%rsp # alloca(frame+2*$num) |
| 1918 | sub %r10,%r11 |
| 1919 | mov \$0,%r10 |
| 1920 | cmovc %r10,%r11 |
| 1921 | sub %r11,%rsp |
| 1922 | .Lfrom_sp_done: |
| 1923 | and \$-64,%rsp |
| 1924 | mov $num,%r10 |
| 1925 | neg $num |
| 1926 | |
| 1927 | ############################################################## |
| 1928 | # Stack layout |
| 1929 | # |
| 1930 | # +0 saved $num, used in reduction section |
| 1931 | # +8 &t[2*$num], used in reduction section |
| 1932 | # +32 saved *n0 |
| 1933 | # +40 saved %rsp |
| 1934 | # +48 t[2*$num] |
| 1935 | # |
| 1936 | mov $n0, 32(%rsp) |
| 1937 | mov %rax, 40(%rsp) # save original %rsp |
| 1938 | .Lfrom_body: |
| 1939 | mov $num,%r11 |
| 1940 | lea 48(%rsp),%rax |
| 1941 | pxor %xmm0,%xmm0 |
| 1942 | jmp .Lmul_by_1 |
| 1943 | |
| 1944 | .align 32 |
| 1945 | .Lmul_by_1: |
| 1946 | movdqu ($aptr),%xmm1 |
| 1947 | movdqu 16($aptr),%xmm2 |
| 1948 | movdqu 32($aptr),%xmm3 |
| 1949 | movdqa %xmm0,(%rax,$num) |
| 1950 | movdqu 48($aptr),%xmm4 |
| 1951 | movdqa %xmm0,16(%rax,$num) |
| 1952 | .byte 0x48,0x8d,0xb6,0x40,0x00,0x00,0x00 # lea 64($aptr),$aptr |
| 1953 | movdqa %xmm1,(%rax) |
| 1954 | movdqa %xmm0,32(%rax,$num) |
| 1955 | movdqa %xmm2,16(%rax) |
| 1956 | movdqa %xmm0,48(%rax,$num) |
| 1957 | movdqa %xmm3,32(%rax) |
| 1958 | movdqa %xmm4,48(%rax) |
| 1959 | lea 64(%rax),%rax |
| 1960 | sub \$64,%r11 |
| 1961 | jnz .Lmul_by_1 |
| 1962 | |
| 1963 | movq $rptr,%xmm1 |
| 1964 | movq $nptr,%xmm2 |
| 1965 | .byte 0x67 |
| 1966 | mov $nptr,%rbp |
| 1967 | movq %r10, %xmm3 # -num |
| 1968 | ___ |
| 1969 | $code.=<<___ if ($addx); |
| 1970 | mov OPENSSL_ia32cap_P+8(%rip),%r11d |
| 1971 | and \$0x80100,%r11d |
| 1972 | cmp \$0x80100,%r11d |
| 1973 | jne .Lfrom_mont_nox |
| 1974 | |
| 1975 | lea (%rax,$num),$rptr |
| 1976 | call sqrx8x_reduction |
| 1977 | |
| 1978 | pxor %xmm0,%xmm0 |
| 1979 | lea 48(%rsp),%rax |
| 1980 | mov 40(%rsp),%rsi # restore %rsp |
| 1981 | jmp .Lfrom_mont_zero |
| 1982 | |
| 1983 | .align 32 |
| 1984 | .Lfrom_mont_nox: |
| 1985 | ___ |
| 1986 | $code.=<<___; |
| 1987 | call sqr8x_reduction |
| 1988 | |
| 1989 | pxor %xmm0,%xmm0 |
| 1990 | lea 48(%rsp),%rax |
| 1991 | mov 40(%rsp),%rsi # restore %rsp |
| 1992 | jmp .Lfrom_mont_zero |
| 1993 | |
| 1994 | .align 32 |
| 1995 | .Lfrom_mont_zero: |
| 1996 | movdqa %xmm0,16*0(%rax) |
| 1997 | movdqa %xmm0,16*1(%rax) |
| 1998 | movdqa %xmm0,16*2(%rax) |
| 1999 | movdqa %xmm0,16*3(%rax) |
| 2000 | lea 16*4(%rax),%rax |
| 2001 | sub \$32,$num |
| 2002 | jnz .Lfrom_mont_zero |
| 2003 | |
| 2004 | mov \$1,%rax |
| 2005 | mov -48(%rsi),%r15 |
| 2006 | mov -40(%rsi),%r14 |
| 2007 | mov -32(%rsi),%r13 |
| 2008 | mov -24(%rsi),%r12 |
| 2009 | mov -16(%rsi),%rbp |
| 2010 | mov -8(%rsi),%rbx |
| 2011 | lea (%rsi),%rsp |
| 2012 | .Lfrom_epilogue: |
| 2013 | ret |
| 2014 | .size bn_from_mont8x,.-bn_from_mont8x |
| 2015 | ___ |
| 2016 | } |
| 2017 | }}} |
| 2018 | |
| 2019 | if ($addx) {{{ |
| 2020 | my $bp="%rdx"; # restore original value |
| 2021 | |
| 2022 | $code.=<<___; |
| 2023 | .type bn_mulx4x_mont_gather5,\@function,6 |
| 2024 | .align 32 |
| 2025 | bn_mulx4x_mont_gather5: |
| 2026 | .Lmulx4x_enter: |
| 2027 | .byte 0x67 |
| 2028 | mov %rsp,%rax |
| 2029 | push %rbx |
| 2030 | push %rbp |
| 2031 | push %r12 |
| 2032 | push %r13 |
| 2033 | push %r14 |
| 2034 | push %r15 |
| 2035 | ___ |
| 2036 | $code.=<<___ if ($win64); |
| 2037 | lea -0x28(%rsp),%rsp |
| 2038 | movaps %xmm6,(%rsp) |
| 2039 | movaps %xmm7,0x10(%rsp) |
| 2040 | ___ |
| 2041 | $code.=<<___; |
| 2042 | .byte 0x67 |
| 2043 | mov ${num}d,%r10d |
| 2044 | shl \$3,${num}d # convert $num to bytes |
| 2045 | shl \$3+2,%r10d # 4*$num |
| 2046 | neg $num # -$num |
| 2047 | mov ($n0),$n0 # *n0 |
| 2048 | |
| 2049 | ############################################################## |
| 2050 | # ensure that stack frame doesn't alias with $aptr+4*$num |
| 2051 | # modulo 4096, which covers a[num], ret[num] and n[2*num] |
| 2052 | # (see bn_exp.c). this is done to allow memory disambiguation |
| 2053 | # logic do its magic. [excessive frame is allocated in order |
| 2054 | # to allow bn_from_mont8x to clear it.] |
| 2055 | # |
| 2056 | lea -64(%rsp,$num,2),%r11 |
| 2057 | sub $ap,%r11 |
| 2058 | and \$4095,%r11 |
| 2059 | cmp %r11,%r10 |
| 2060 | jb .Lmulx4xsp_alt |
| 2061 | sub %r11,%rsp # align with $aptr |
| 2062 | lea -64(%rsp,$num,2),%rsp # alloca(frame+$num) |
| 2063 | jmp .Lmulx4xsp_done |
| 2064 | |
| 2065 | .align 32 |
| 2066 | .Lmulx4xsp_alt: |
| 2067 | lea 4096-64(,$num,2),%r10 # 4096-frame-$num |
| 2068 | lea -64(%rsp,$num,2),%rsp # alloca(frame+$num) |
| 2069 | sub %r10,%r11 |
| 2070 | mov \$0,%r10 |
| 2071 | cmovc %r10,%r11 |
| 2072 | sub %r11,%rsp |
| 2073 | .Lmulx4xsp_done: |
| 2074 | and \$-64,%rsp # ensure alignment |
| 2075 | ############################################################## |
| 2076 | # Stack layout |
| 2077 | # +0 -num |
| 2078 | # +8 off-loaded &b[i] |
| 2079 | # +16 end of b[num] |
| 2080 | # +24 inner counter |
| 2081 | # +32 saved n0 |
| 2082 | # +40 saved %rsp |
| 2083 | # +48 |
| 2084 | # +56 saved rp |
| 2085 | # +64 tmp[num+1] |
| 2086 | # |
| 2087 | mov $n0, 32(%rsp) # save *n0 |
| 2088 | mov %rax,40(%rsp) # save original %rsp |
| 2089 | .Lmulx4x_body: |
| 2090 | call mulx4x_internal |
| 2091 | |
| 2092 | mov 40(%rsp),%rsi # restore %rsp |
| 2093 | mov \$1,%rax |
| 2094 | ___ |
| 2095 | $code.=<<___ if ($win64); |
| 2096 | movaps -88(%rsi),%xmm6 |
| 2097 | movaps -72(%rsi),%xmm7 |
| 2098 | ___ |
| 2099 | $code.=<<___; |
| 2100 | mov -48(%rsi),%r15 |
| 2101 | mov -40(%rsi),%r14 |
| 2102 | mov -32(%rsi),%r13 |
| 2103 | mov -24(%rsi),%r12 |
| 2104 | mov -16(%rsi),%rbp |
| 2105 | mov -8(%rsi),%rbx |
| 2106 | lea (%rsi),%rsp |
| 2107 | .Lmulx4x_epilogue: |
| 2108 | ret |
| 2109 | .size bn_mulx4x_mont_gather5,.-bn_mulx4x_mont_gather5 |
| 2110 | |
| 2111 | .type mulx4x_internal,\@abi-omnipotent |
| 2112 | .align 32 |
| 2113 | mulx4x_internal: |
| 2114 | .byte 0x4c,0x89,0x8c,0x24,0x08,0x00,0x00,0x00 # mov $num,8(%rsp) # save -$num |
| 2115 | .byte 0x67 |
| 2116 | neg $num # restore $num |
| 2117 | shl \$5,$num |
| 2118 | lea 256($bp,$num),%r13 |
| 2119 | shr \$5+5,$num |
| 2120 | mov `($win64?56:8)`(%rax),%r10d # load 7th argument |
| 2121 | sub \$1,$num |
| 2122 | mov %r13,16+8(%rsp) # end of b[num] |
| 2123 | mov $num,24+8(%rsp) # inner counter |
| 2124 | mov $rp, 56+8(%rsp) # save $rp |
| 2125 | ___ |
| 2126 | my ($aptr, $bptr, $nptr, $tptr, $mi, $bi, $zero, $num)= |
| 2127 | ("%rsi","%rdi","%rcx","%rbx","%r8","%r9","%rbp","%rax"); |
| 2128 | my $rptr=$bptr; |
| 2129 | my $STRIDE=2**5*8; # 5 is "window size" |
| 2130 | my $N=$STRIDE/4; # should match cache line size |
| 2131 | $code.=<<___; |
| 2132 | mov %r10,%r11 |
| 2133 | shr \$`log($N/8)/log(2)`,%r10 |
| 2134 | and \$`$N/8-1`,%r11 |
| 2135 | not %r10 |
| 2136 | lea .Lmagic_masks(%rip),%rax |
| 2137 | and \$`2**5/($N/8)-1`,%r10 # 5 is "window size" |
| 2138 | lea 96($bp,%r11,8),$bptr # pointer within 1st cache line |
| 2139 | movq 0(%rax,%r10,8),%xmm4 # set of masks denoting which |
| 2140 | movq 8(%rax,%r10,8),%xmm5 # cache line contains element |
| 2141 | add \$7,%r11 |
| 2142 | movq 16(%rax,%r10,8),%xmm6 # denoted by 7th argument |
| 2143 | movq 24(%rax,%r10,8),%xmm7 |
| 2144 | and \$7,%r11 |
| 2145 | |
| 2146 | movq `0*$STRIDE/4-96`($bptr),%xmm0 |
| 2147 | lea $STRIDE($bptr),$tptr # borrow $tptr |
| 2148 | movq `1*$STRIDE/4-96`($bptr),%xmm1 |
| 2149 | pand %xmm4,%xmm0 |
| 2150 | movq `2*$STRIDE/4-96`($bptr),%xmm2 |
| 2151 | pand %xmm5,%xmm1 |
| 2152 | movq `3*$STRIDE/4-96`($bptr),%xmm3 |
| 2153 | pand %xmm6,%xmm2 |
| 2154 | por %xmm1,%xmm0 |
| 2155 | movq `0*$STRIDE/4-96`($tptr),%xmm1 |
| 2156 | pand %xmm7,%xmm3 |
| 2157 | por %xmm2,%xmm0 |
| 2158 | movq `1*$STRIDE/4-96`($tptr),%xmm2 |
| 2159 | por %xmm3,%xmm0 |
| 2160 | .byte 0x67,0x67 |
| 2161 | pand %xmm4,%xmm1 |
| 2162 | movq `2*$STRIDE/4-96`($tptr),%xmm3 |
| 2163 | |
| 2164 | movq %xmm0,%rdx # bp[0] |
| 2165 | movq `3*$STRIDE/4-96`($tptr),%xmm0 |
| 2166 | lea 2*$STRIDE($bptr),$bptr # next &b[i] |
| 2167 | pand %xmm5,%xmm2 |
| 2168 | .byte 0x67,0x67 |
| 2169 | pand %xmm6,%xmm3 |
| 2170 | ############################################################## |
| 2171 | # $tptr is chosen so that writing to top-most element of the |
| 2172 | # vector occurs just "above" references to powers table, |
| 2173 | # "above" modulo cache-line size, which effectively precludes |
| 2174 | # possibility of memory disambiguation logic failure when |
| 2175 | # accessing the table. |
| 2176 | # |
| 2177 | lea 64+8*4+8(%rsp,%r11,8),$tptr |
| 2178 | |
| 2179 | mov %rdx,$bi |
| 2180 | mulx 0*8($aptr),$mi,%rax # a[0]*b[0] |
| 2181 | mulx 1*8($aptr),%r11,%r12 # a[1]*b[0] |
| 2182 | add %rax,%r11 |
| 2183 | mulx 2*8($aptr),%rax,%r13 # ... |
| 2184 | adc %rax,%r12 |
| 2185 | adc \$0,%r13 |
| 2186 | mulx 3*8($aptr),%rax,%r14 |
| 2187 | |
| 2188 | mov $mi,%r15 |
| 2189 | imulq 32+8(%rsp),$mi # "t[0]"*n0 |
| 2190 | xor $zero,$zero # cf=0, of=0 |
| 2191 | mov $mi,%rdx |
| 2192 | |
| 2193 | por %xmm2,%xmm1 |
| 2194 | pand %xmm7,%xmm0 |
| 2195 | por %xmm3,%xmm1 |
| 2196 | mov $bptr,8+8(%rsp) # off-load &b[i] |
| 2197 | por %xmm1,%xmm0 |
| 2198 | |
| 2199 | .byte 0x48,0x8d,0xb6,0x20,0x00,0x00,0x00 # lea 4*8($aptr),$aptr |
| 2200 | adcx %rax,%r13 |
| 2201 | adcx $zero,%r14 # cf=0 |
| 2202 | |
| 2203 | mulx 0*16($nptr),%rax,%r10 |
| 2204 | adcx %rax,%r15 # discarded |
| 2205 | adox %r11,%r10 |
| 2206 | mulx 1*16($nptr),%rax,%r11 |
| 2207 | adcx %rax,%r10 |
| 2208 | adox %r12,%r11 |
| 2209 | mulx 2*16($nptr),%rax,%r12 |
| 2210 | mov 24+8(%rsp),$bptr # counter value |
| 2211 | .byte 0x66 |
| 2212 | mov %r10,-8*4($tptr) |
| 2213 | adcx %rax,%r11 |
| 2214 | adox %r13,%r12 |
| 2215 | mulx 3*16($nptr),%rax,%r15 |
| 2216 | .byte 0x67,0x67 |
| 2217 | mov $bi,%rdx |
| 2218 | mov %r11,-8*3($tptr) |
| 2219 | adcx %rax,%r12 |
| 2220 | adox $zero,%r15 # of=0 |
| 2221 | .byte 0x48,0x8d,0x89,0x40,0x00,0x00,0x00 # lea 4*16($nptr),$nptr |
| 2222 | mov %r12,-8*2($tptr) |
| 2223 | #jmp .Lmulx4x_1st |
| 2224 | |
| 2225 | .align 32 |
| 2226 | .Lmulx4x_1st: |
| 2227 | adcx $zero,%r15 # cf=0, modulo-scheduled |
| 2228 | mulx 0*8($aptr),%r10,%rax # a[4]*b[0] |
| 2229 | adcx %r14,%r10 |
| 2230 | mulx 1*8($aptr),%r11,%r14 # a[5]*b[0] |
| 2231 | adcx %rax,%r11 |
| 2232 | mulx 2*8($aptr),%r12,%rax # ... |
| 2233 | adcx %r14,%r12 |
| 2234 | mulx 3*8($aptr),%r13,%r14 |
| 2235 | .byte 0x67,0x67 |
| 2236 | mov $mi,%rdx |
| 2237 | adcx %rax,%r13 |
| 2238 | adcx $zero,%r14 # cf=0 |
| 2239 | lea 4*8($aptr),$aptr |
| 2240 | lea 4*8($tptr),$tptr |
| 2241 | |
| 2242 | adox %r15,%r10 |
| 2243 | mulx 0*16($nptr),%rax,%r15 |
| 2244 | adcx %rax,%r10 |
| 2245 | adox %r15,%r11 |
| 2246 | mulx 1*16($nptr),%rax,%r15 |
| 2247 | adcx %rax,%r11 |
| 2248 | adox %r15,%r12 |
| 2249 | mulx 2*16($nptr),%rax,%r15 |
| 2250 | mov %r10,-5*8($tptr) |
| 2251 | adcx %rax,%r12 |
| 2252 | mov %r11,-4*8($tptr) |
| 2253 | adox %r15,%r13 |
| 2254 | mulx 3*16($nptr),%rax,%r15 |
| 2255 | mov $bi,%rdx |
| 2256 | mov %r12,-3*8($tptr) |
| 2257 | adcx %rax,%r13 |
| 2258 | adox $zero,%r15 |
| 2259 | lea 4*16($nptr),$nptr |
| 2260 | mov %r13,-2*8($tptr) |
| 2261 | |
| 2262 | dec $bptr # of=0, pass cf |
| 2263 | jnz .Lmulx4x_1st |
| 2264 | |
| 2265 | mov 8(%rsp),$num # load -num |
| 2266 | movq %xmm0,%rdx # bp[1] |
| 2267 | adc $zero,%r15 # modulo-scheduled |
| 2268 | lea ($aptr,$num),$aptr # rewind $aptr |
| 2269 | add %r15,%r14 |
| 2270 | mov 8+8(%rsp),$bptr # re-load &b[i] |
| 2271 | adc $zero,$zero # top-most carry |
| 2272 | mov %r14,-1*8($tptr) |
| 2273 | jmp .Lmulx4x_outer |
| 2274 | |
| 2275 | .align 32 |
| 2276 | .Lmulx4x_outer: |
| 2277 | mov $zero,($tptr) # save top-most carry |
| 2278 | lea 4*8($tptr,$num),$tptr # rewind $tptr |
| 2279 | mulx 0*8($aptr),$mi,%r11 # a[0]*b[i] |
| 2280 | xor $zero,$zero # cf=0, of=0 |
| 2281 | mov %rdx,$bi |
| 2282 | mulx 1*8($aptr),%r14,%r12 # a[1]*b[i] |
| 2283 | adox -4*8($tptr),$mi # +t[0] |
| 2284 | adcx %r14,%r11 |
| 2285 | mulx 2*8($aptr),%r15,%r13 # ... |
| 2286 | adox -3*8($tptr),%r11 |
| 2287 | adcx %r15,%r12 |
| 2288 | mulx 3*8($aptr),%rdx,%r14 |
| 2289 | adox -2*8($tptr),%r12 |
| 2290 | adcx %rdx,%r13 |
| 2291 | lea ($nptr,$num,2),$nptr # rewind $nptr |
| 2292 | lea 4*8($aptr),$aptr |
| 2293 | adox -1*8($tptr),%r13 |
| 2294 | adcx $zero,%r14 |
| 2295 | adox $zero,%r14 |
| 2296 | |
| 2297 | .byte 0x67 |
| 2298 | mov $mi,%r15 |
| 2299 | imulq 32+8(%rsp),$mi # "t[0]"*n0 |
| 2300 | |
| 2301 | movq `0*$STRIDE/4-96`($bptr),%xmm0 |
| 2302 | .byte 0x67,0x67 |
| 2303 | mov $mi,%rdx |
| 2304 | movq `1*$STRIDE/4-96`($bptr),%xmm1 |
| 2305 | .byte 0x67 |
| 2306 | pand %xmm4,%xmm0 |
| 2307 | movq `2*$STRIDE/4-96`($bptr),%xmm2 |
| 2308 | .byte 0x67 |
| 2309 | pand %xmm5,%xmm1 |
| 2310 | movq `3*$STRIDE/4-96`($bptr),%xmm3 |
| 2311 | add \$$STRIDE,$bptr # next &b[i] |
| 2312 | .byte 0x67 |
| 2313 | pand %xmm6,%xmm2 |
| 2314 | por %xmm1,%xmm0 |
| 2315 | pand %xmm7,%xmm3 |
| 2316 | xor $zero,$zero # cf=0, of=0 |
| 2317 | mov $bptr,8+8(%rsp) # off-load &b[i] |
| 2318 | |
| 2319 | mulx 0*16($nptr),%rax,%r10 |
| 2320 | adcx %rax,%r15 # discarded |
| 2321 | adox %r11,%r10 |
| 2322 | mulx 1*16($nptr),%rax,%r11 |
| 2323 | adcx %rax,%r10 |
| 2324 | adox %r12,%r11 |
| 2325 | mulx 2*16($nptr),%rax,%r12 |
| 2326 | adcx %rax,%r11 |
| 2327 | adox %r13,%r12 |
| 2328 | mulx 3*16($nptr),%rax,%r15 |
| 2329 | mov $bi,%rdx |
| 2330 | por %xmm2,%xmm0 |
| 2331 | mov 24+8(%rsp),$bptr # counter value |
| 2332 | mov %r10,-8*4($tptr) |
| 2333 | por %xmm3,%xmm0 |
| 2334 | adcx %rax,%r12 |
| 2335 | mov %r11,-8*3($tptr) |
| 2336 | adox $zero,%r15 # of=0 |
| 2337 | mov %r12,-8*2($tptr) |
| 2338 | lea 4*16($nptr),$nptr |
| 2339 | jmp .Lmulx4x_inner |
| 2340 | |
| 2341 | .align 32 |
| 2342 | .Lmulx4x_inner: |
| 2343 | mulx 0*8($aptr),%r10,%rax # a[4]*b[i] |
| 2344 | adcx $zero,%r15 # cf=0, modulo-scheduled |
| 2345 | adox %r14,%r10 |
| 2346 | mulx 1*8($aptr),%r11,%r14 # a[5]*b[i] |
| 2347 | adcx 0*8($tptr),%r10 |
| 2348 | adox %rax,%r11 |
| 2349 | mulx 2*8($aptr),%r12,%rax # ... |
| 2350 | adcx 1*8($tptr),%r11 |
| 2351 | adox %r14,%r12 |
| 2352 | mulx 3*8($aptr),%r13,%r14 |
| 2353 | mov $mi,%rdx |
| 2354 | adcx 2*8($tptr),%r12 |
| 2355 | adox %rax,%r13 |
| 2356 | adcx 3*8($tptr),%r13 |
| 2357 | adox $zero,%r14 # of=0 |
| 2358 | lea 4*8($aptr),$aptr |
| 2359 | lea 4*8($tptr),$tptr |
| 2360 | adcx $zero,%r14 # cf=0 |
| 2361 | |
| 2362 | adox %r15,%r10 |
| 2363 | mulx 0*16($nptr),%rax,%r15 |
| 2364 | adcx %rax,%r10 |
| 2365 | adox %r15,%r11 |
| 2366 | mulx 1*16($nptr),%rax,%r15 |
| 2367 | adcx %rax,%r11 |
| 2368 | adox %r15,%r12 |
| 2369 | mulx 2*16($nptr),%rax,%r15 |
| 2370 | mov %r10,-5*8($tptr) |
| 2371 | adcx %rax,%r12 |
| 2372 | adox %r15,%r13 |
| 2373 | mov %r11,-4*8($tptr) |
| 2374 | mulx 3*16($nptr),%rax,%r15 |
| 2375 | mov $bi,%rdx |
| 2376 | lea 4*16($nptr),$nptr |
| 2377 | mov %r12,-3*8($tptr) |
| 2378 | adcx %rax,%r13 |
| 2379 | adox $zero,%r15 |
| 2380 | mov %r13,-2*8($tptr) |
| 2381 | |
| 2382 | dec $bptr # of=0, pass cf |
| 2383 | jnz .Lmulx4x_inner |
| 2384 | |
| 2385 | mov 0+8(%rsp),$num # load -num |
| 2386 | movq %xmm0,%rdx # bp[i+1] |
| 2387 | adc $zero,%r15 # modulo-scheduled |
| 2388 | sub 0*8($tptr),$bptr # pull top-most carry to %cf |
| 2389 | mov 8+8(%rsp),$bptr # re-load &b[i] |
| 2390 | mov 16+8(%rsp),%r10 |
| 2391 | adc %r15,%r14 |
| 2392 | lea ($aptr,$num),$aptr # rewind $aptr |
| 2393 | adc $zero,$zero # top-most carry |
| 2394 | mov %r14,-1*8($tptr) |
| 2395 | |
| 2396 | cmp %r10,$bptr |
| 2397 | jb .Lmulx4x_outer |
| 2398 | |
| 2399 | mov -16($nptr),%r10 |
| 2400 | xor %r15,%r15 |
| 2401 | sub %r14,%r10 # compare top-most words |
| 2402 | adc %r15,%r15 |
| 2403 | or %r15,$zero |
| 2404 | xor \$1,$zero |
| 2405 | lea ($tptr,$num),%rdi # rewind $tptr |
| 2406 | lea ($nptr,$num,2),$nptr # rewind $nptr |
| 2407 | .byte 0x67,0x67 |
| 2408 | sar \$3+2,$num # cf=0 |
| 2409 | lea ($nptr,$zero,8),%rbp |
| 2410 | mov 56+8(%rsp),%rdx # restore rp |
| 2411 | mov $num,%rcx |
| 2412 | jmp .Lsqrx4x_sub # common post-condition |
| 2413 | .size mulx4x_internal,.-mulx4x_internal |
| 2414 | ___ |
| 2415 | }{ |
| 2416 | ###################################################################### |
| 2417 | # void bn_power5( |
| 2418 | my $rptr="%rdi"; # BN_ULONG *rptr, |
| 2419 | my $aptr="%rsi"; # const BN_ULONG *aptr, |
| 2420 | my $bptr="%rdx"; # const void *table, |
| 2421 | my $nptr="%rcx"; # const BN_ULONG *nptr, |
| 2422 | my $n0 ="%r8"; # const BN_ULONG *n0); |
| 2423 | my $num ="%r9"; # int num, has to be divisible by 8 |
| 2424 | # int pwr); |
| 2425 | |
| 2426 | my ($i,$j,$tptr)=("%rbp","%rcx",$rptr); |
| 2427 | my @A0=("%r10","%r11"); |
| 2428 | my @A1=("%r12","%r13"); |
| 2429 | my ($a0,$a1,$ai)=("%r14","%r15","%rbx"); |
| 2430 | |
| 2431 | $code.=<<___; |
| 2432 | .type bn_powerx5,\@function,6 |
| 2433 | .align 32 |
| 2434 | bn_powerx5: |
| 2435 | .Lpowerx5_enter: |
| 2436 | .byte 0x67 |
| 2437 | mov %rsp,%rax |
| 2438 | push %rbx |
| 2439 | push %rbp |
| 2440 | push %r12 |
| 2441 | push %r13 |
| 2442 | push %r14 |
| 2443 | push %r15 |
| 2444 | ___ |
| 2445 | $code.=<<___ if ($win64); |
| 2446 | lea -0x28(%rsp),%rsp |
| 2447 | movaps %xmm6,(%rsp) |
| 2448 | movaps %xmm7,0x10(%rsp) |
| 2449 | ___ |
| 2450 | $code.=<<___; |
| 2451 | .byte 0x67 |
| 2452 | mov ${num}d,%r10d |
| 2453 | shl \$3,${num}d # convert $num to bytes |
| 2454 | shl \$3+2,%r10d # 4*$num |
| 2455 | neg $num |
| 2456 | mov ($n0),$n0 # *n0 |
| 2457 | |
| 2458 | ############################################################## |
| 2459 | # ensure that stack frame doesn't alias with $aptr+4*$num |
| 2460 | # modulo 4096, which covers ret[num], am[num] and n[2*num] |
| 2461 | # (see bn_exp.c). this is done to allow memory disambiguation |
| 2462 | # logic do its magic. |
| 2463 | # |
| 2464 | lea -64(%rsp,$num,2),%r11 |
| 2465 | sub $aptr,%r11 |
| 2466 | and \$4095,%r11 |
| 2467 | cmp %r11,%r10 |
| 2468 | jb .Lpwrx_sp_alt |
| 2469 | sub %r11,%rsp # align with $aptr |
| 2470 | lea -64(%rsp,$num,2),%rsp # alloca(frame+2*$num) |
| 2471 | jmp .Lpwrx_sp_done |
| 2472 | |
| 2473 | .align 32 |
| 2474 | .Lpwrx_sp_alt: |
| 2475 | lea 4096-64(,$num,2),%r10 # 4096-frame-2*$num |
| 2476 | lea -64(%rsp,$num,2),%rsp # alloca(frame+2*$num) |
| 2477 | sub %r10,%r11 |
| 2478 | mov \$0,%r10 |
| 2479 | cmovc %r10,%r11 |
| 2480 | sub %r11,%rsp |
| 2481 | .Lpwrx_sp_done: |
| 2482 | and \$-64,%rsp |
| 2483 | mov $num,%r10 |
| 2484 | neg $num |
| 2485 | |
| 2486 | ############################################################## |
| 2487 | # Stack layout |
| 2488 | # |
| 2489 | # +0 saved $num, used in reduction section |
| 2490 | # +8 &t[2*$num], used in reduction section |
| 2491 | # +16 intermediate carry bit |
| 2492 | # +24 top-most carry bit, used in reduction section |
| 2493 | # +32 saved *n0 |
| 2494 | # +40 saved %rsp |
| 2495 | # +48 t[2*$num] |
| 2496 | # |
| 2497 | pxor %xmm0,%xmm0 |
| 2498 | movq $rptr,%xmm1 # save $rptr |
| 2499 | movq $nptr,%xmm2 # save $nptr |
| 2500 | movq %r10, %xmm3 # -$num |
| 2501 | movq $bptr,%xmm4 |
| 2502 | mov $n0, 32(%rsp) |
| 2503 | mov %rax, 40(%rsp) # save original %rsp |
| 2504 | .Lpowerx5_body: |
| 2505 | |
| 2506 | call __bn_sqrx8x_internal |
| 2507 | call __bn_sqrx8x_internal |
| 2508 | call __bn_sqrx8x_internal |
| 2509 | call __bn_sqrx8x_internal |
| 2510 | call __bn_sqrx8x_internal |
| 2511 | |
| 2512 | mov %r10,$num # -num |
| 2513 | mov $aptr,$rptr |
| 2514 | movq %xmm2,$nptr |
| 2515 | movq %xmm4,$bptr |
| 2516 | mov 40(%rsp),%rax |
| 2517 | |
| 2518 | call mulx4x_internal |
| 2519 | |
| 2520 | mov 40(%rsp),%rsi # restore %rsp |
| 2521 | mov \$1,%rax |
| 2522 | ___ |
| 2523 | $code.=<<___ if ($win64); |
| 2524 | movaps -88(%rsi),%xmm6 |
| 2525 | movaps -72(%rsi),%xmm7 |
| 2526 | ___ |
| 2527 | $code.=<<___; |
| 2528 | mov -48(%rsi),%r15 |
| 2529 | mov -40(%rsi),%r14 |
| 2530 | mov -32(%rsi),%r13 |
| 2531 | mov -24(%rsi),%r12 |
| 2532 | mov -16(%rsi),%rbp |
| 2533 | mov -8(%rsi),%rbx |
| 2534 | lea (%rsi),%rsp |
| 2535 | .Lpowerx5_epilogue: |
| 2536 | ret |
| 2537 | .size bn_powerx5,.-bn_powerx5 |
| 2538 | |
| 2539 | .globl bn_sqrx8x_internal |
| 2540 | .hidden bn_sqrx8x_internal |
| 2541 | .type bn_sqrx8x_internal,\@abi-omnipotent |
| 2542 | .align 32 |
| 2543 | bn_sqrx8x_internal: |
| 2544 | __bn_sqrx8x_internal: |
| 2545 | ################################################################## |
| 2546 | # Squaring part: |
| 2547 | # |
| 2548 | # a) multiply-n-add everything but a[i]*a[i]; |
| 2549 | # b) shift result of a) by 1 to the left and accumulate |
| 2550 | # a[i]*a[i] products; |
| 2551 | # |
| 2552 | ################################################################## |
| 2553 | # a[7]a[7]a[6]a[6]a[5]a[5]a[4]a[4]a[3]a[3]a[2]a[2]a[1]a[1]a[0]a[0] |
| 2554 | # a[1]a[0] |
| 2555 | # a[2]a[0] |
| 2556 | # a[3]a[0] |
| 2557 | # a[2]a[1] |
| 2558 | # a[3]a[1] |
| 2559 | # a[3]a[2] |
| 2560 | # |
| 2561 | # a[4]a[0] |
| 2562 | # a[5]a[0] |
| 2563 | # a[6]a[0] |
| 2564 | # a[7]a[0] |
| 2565 | # a[4]a[1] |
| 2566 | # a[5]a[1] |
| 2567 | # a[6]a[1] |
| 2568 | # a[7]a[1] |
| 2569 | # a[4]a[2] |
| 2570 | # a[5]a[2] |
| 2571 | # a[6]a[2] |
| 2572 | # a[7]a[2] |
| 2573 | # a[4]a[3] |
| 2574 | # a[5]a[3] |
| 2575 | # a[6]a[3] |
| 2576 | # a[7]a[3] |
| 2577 | # |
| 2578 | # a[5]a[4] |
| 2579 | # a[6]a[4] |
| 2580 | # a[7]a[4] |
| 2581 | # a[6]a[5] |
| 2582 | # a[7]a[5] |
| 2583 | # a[7]a[6] |
| 2584 | # a[7]a[7]a[6]a[6]a[5]a[5]a[4]a[4]a[3]a[3]a[2]a[2]a[1]a[1]a[0]a[0] |
| 2585 | ___ |
| 2586 | { |
| 2587 | my ($zero,$carry)=("%rbp","%rcx"); |
| 2588 | my $aaptr=$zero; |
| 2589 | $code.=<<___; |
| 2590 | lea 48+8(%rsp),$tptr |
| 2591 | lea ($aptr,$num),$aaptr |
| 2592 | mov $num,0+8(%rsp) # save $num |
| 2593 | mov $aaptr,8+8(%rsp) # save end of $aptr |
| 2594 | jmp .Lsqr8x_zero_start |
| 2595 | |
| 2596 | .align 32 |
| 2597 | .byte 0x66,0x66,0x66,0x2e,0x0f,0x1f,0x84,0x00,0x00,0x00,0x00,0x00 |
| 2598 | .Lsqrx8x_zero: |
| 2599 | .byte 0x3e |
| 2600 | movdqa %xmm0,0*8($tptr) |
| 2601 | movdqa %xmm0,2*8($tptr) |
| 2602 | movdqa %xmm0,4*8($tptr) |
| 2603 | movdqa %xmm0,6*8($tptr) |
| 2604 | .Lsqr8x_zero_start: # aligned at 32 |
| 2605 | movdqa %xmm0,8*8($tptr) |
| 2606 | movdqa %xmm0,10*8($tptr) |
| 2607 | movdqa %xmm0,12*8($tptr) |
| 2608 | movdqa %xmm0,14*8($tptr) |
| 2609 | lea 16*8($tptr),$tptr |
| 2610 | sub \$64,$num |
| 2611 | jnz .Lsqrx8x_zero |
| 2612 | |
| 2613 | mov 0*8($aptr),%rdx # a[0], modulo-scheduled |
| 2614 | #xor %r9,%r9 # t[1], ex-$num, zero already |
| 2615 | xor %r10,%r10 |
| 2616 | xor %r11,%r11 |
| 2617 | xor %r12,%r12 |
| 2618 | xor %r13,%r13 |
| 2619 | xor %r14,%r14 |
| 2620 | xor %r15,%r15 |
| 2621 | lea 48+8(%rsp),$tptr |
| 2622 | xor $zero,$zero # cf=0, cf=0 |
| 2623 | jmp .Lsqrx8x_outer_loop |
| 2624 | |
| 2625 | .align 32 |
| 2626 | .Lsqrx8x_outer_loop: |
| 2627 | mulx 1*8($aptr),%r8,%rax # a[1]*a[0] |
| 2628 | adcx %r9,%r8 # a[1]*a[0]+=t[1] |
| 2629 | adox %rax,%r10 |
| 2630 | mulx 2*8($aptr),%r9,%rax # a[2]*a[0] |
| 2631 | adcx %r10,%r9 |
| 2632 | adox %rax,%r11 |
| 2633 | .byte 0xc4,0xe2,0xab,0xf6,0x86,0x18,0x00,0x00,0x00 # mulx 3*8($aptr),%r10,%rax # ... |
| 2634 | adcx %r11,%r10 |
| 2635 | adox %rax,%r12 |
| 2636 | .byte 0xc4,0xe2,0xa3,0xf6,0x86,0x20,0x00,0x00,0x00 # mulx 4*8($aptr),%r11,%rax |
| 2637 | adcx %r12,%r11 |
| 2638 | adox %rax,%r13 |
| 2639 | mulx 5*8($aptr),%r12,%rax |
| 2640 | adcx %r13,%r12 |
| 2641 | adox %rax,%r14 |
| 2642 | mulx 6*8($aptr),%r13,%rax |
| 2643 | adcx %r14,%r13 |
| 2644 | adox %r15,%rax |
| 2645 | mulx 7*8($aptr),%r14,%r15 |
| 2646 | mov 1*8($aptr),%rdx # a[1] |
| 2647 | adcx %rax,%r14 |
| 2648 | adox $zero,%r15 |
| 2649 | adc 8*8($tptr),%r15 |
| 2650 | mov %r8,1*8($tptr) # t[1] |
| 2651 | mov %r9,2*8($tptr) # t[2] |
| 2652 | sbb $carry,$carry # mov %cf,$carry |
| 2653 | xor $zero,$zero # cf=0, of=0 |
| 2654 | |
| 2655 | |
| 2656 | mulx 2*8($aptr),%r8,%rbx # a[2]*a[1] |
| 2657 | mulx 3*8($aptr),%r9,%rax # a[3]*a[1] |
| 2658 | adcx %r10,%r8 |
| 2659 | adox %rbx,%r9 |
| 2660 | mulx 4*8($aptr),%r10,%rbx # ... |
| 2661 | adcx %r11,%r9 |
| 2662 | adox %rax,%r10 |
| 2663 | .byte 0xc4,0xe2,0xa3,0xf6,0x86,0x28,0x00,0x00,0x00 # mulx 5*8($aptr),%r11,%rax |
| 2664 | adcx %r12,%r10 |
| 2665 | adox %rbx,%r11 |
| 2666 | .byte 0xc4,0xe2,0x9b,0xf6,0x9e,0x30,0x00,0x00,0x00 # mulx 6*8($aptr),%r12,%rbx |
| 2667 | adcx %r13,%r11 |
| 2668 | adox %r14,%r12 |
| 2669 | .byte 0xc4,0x62,0x93,0xf6,0xb6,0x38,0x00,0x00,0x00 # mulx 7*8($aptr),%r13,%r14 |
| 2670 | mov 2*8($aptr),%rdx # a[2] |
| 2671 | adcx %rax,%r12 |
| 2672 | adox %rbx,%r13 |
| 2673 | adcx %r15,%r13 |
| 2674 | adox $zero,%r14 # of=0 |
| 2675 | adcx $zero,%r14 # cf=0 |
| 2676 | |
| 2677 | mov %r8,3*8($tptr) # t[3] |
| 2678 | mov %r9,4*8($tptr) # t[4] |
| 2679 | |
| 2680 | mulx 3*8($aptr),%r8,%rbx # a[3]*a[2] |
| 2681 | mulx 4*8($aptr),%r9,%rax # a[4]*a[2] |
| 2682 | adcx %r10,%r8 |
| 2683 | adox %rbx,%r9 |
| 2684 | mulx 5*8($aptr),%r10,%rbx # ... |
| 2685 | adcx %r11,%r9 |
| 2686 | adox %rax,%r10 |
| 2687 | .byte 0xc4,0xe2,0xa3,0xf6,0x86,0x30,0x00,0x00,0x00 # mulx 6*8($aptr),%r11,%rax |
| 2688 | adcx %r12,%r10 |
| 2689 | adox %r13,%r11 |
| 2690 | .byte 0xc4,0x62,0x9b,0xf6,0xae,0x38,0x00,0x00,0x00 # mulx 7*8($aptr),%r12,%r13 |
| 2691 | .byte 0x3e |
| 2692 | mov 3*8($aptr),%rdx # a[3] |
| 2693 | adcx %rbx,%r11 |
| 2694 | adox %rax,%r12 |
| 2695 | adcx %r14,%r12 |
| 2696 | mov %r8,5*8($tptr) # t[5] |
| 2697 | mov %r9,6*8($tptr) # t[6] |
| 2698 | mulx 4*8($aptr),%r8,%rax # a[4]*a[3] |
| 2699 | adox $zero,%r13 # of=0 |
| 2700 | adcx $zero,%r13 # cf=0 |
| 2701 | |
| 2702 | mulx 5*8($aptr),%r9,%rbx # a[5]*a[3] |
| 2703 | adcx %r10,%r8 |
| 2704 | adox %rax,%r9 |
| 2705 | mulx 6*8($aptr),%r10,%rax # ... |
| 2706 | adcx %r11,%r9 |
| 2707 | adox %r12,%r10 |
| 2708 | mulx 7*8($aptr),%r11,%r12 |
| 2709 | mov 4*8($aptr),%rdx # a[4] |
| 2710 | mov 5*8($aptr),%r14 # a[5] |
| 2711 | adcx %rbx,%r10 |
| 2712 | adox %rax,%r11 |
| 2713 | mov 6*8($aptr),%r15 # a[6] |
| 2714 | adcx %r13,%r11 |
| 2715 | adox $zero,%r12 # of=0 |
| 2716 | adcx $zero,%r12 # cf=0 |
| 2717 | |
| 2718 | mov %r8,7*8($tptr) # t[7] |
| 2719 | mov %r9,8*8($tptr) # t[8] |
| 2720 | |
| 2721 | mulx %r14,%r9,%rax # a[5]*a[4] |
| 2722 | mov 7*8($aptr),%r8 # a[7] |
| 2723 | adcx %r10,%r9 |
| 2724 | mulx %r15,%r10,%rbx # a[6]*a[4] |
| 2725 | adox %rax,%r10 |
| 2726 | adcx %r11,%r10 |
| 2727 | mulx %r8,%r11,%rax # a[7]*a[4] |
| 2728 | mov %r14,%rdx # a[5] |
| 2729 | adox %rbx,%r11 |
| 2730 | adcx %r12,%r11 |
| 2731 | #adox $zero,%rax # of=0 |
| 2732 | adcx $zero,%rax # cf=0 |
| 2733 | |
| 2734 | mulx %r15,%r14,%rbx # a[6]*a[5] |
| 2735 | mulx %r8,%r12,%r13 # a[7]*a[5] |
| 2736 | mov %r15,%rdx # a[6] |
| 2737 | lea 8*8($aptr),$aptr |
| 2738 | adcx %r14,%r11 |
| 2739 | adox %rbx,%r12 |
| 2740 | adcx %rax,%r12 |
| 2741 | adox $zero,%r13 |
| 2742 | |
| 2743 | .byte 0x67,0x67 |
| 2744 | mulx %r8,%r8,%r14 # a[7]*a[6] |
| 2745 | adcx %r8,%r13 |
| 2746 | adcx $zero,%r14 |
| 2747 | |
| 2748 | cmp 8+8(%rsp),$aptr |
| 2749 | je .Lsqrx8x_outer_break |
| 2750 | |
| 2751 | neg $carry # mov $carry,%cf |
| 2752 | mov \$-8,%rcx |
| 2753 | mov $zero,%r15 |
| 2754 | mov 8*8($tptr),%r8 |
| 2755 | adcx 9*8($tptr),%r9 # +=t[9] |
| 2756 | adcx 10*8($tptr),%r10 # ... |
| 2757 | adcx 11*8($tptr),%r11 |
| 2758 | adc 12*8($tptr),%r12 |
| 2759 | adc 13*8($tptr),%r13 |
| 2760 | adc 14*8($tptr),%r14 |
| 2761 | adc 15*8($tptr),%r15 |
| 2762 | lea ($aptr),$aaptr |
| 2763 | lea 2*64($tptr),$tptr |
| 2764 | sbb %rax,%rax # mov %cf,$carry |
| 2765 | |
| 2766 | mov -64($aptr),%rdx # a[0] |
| 2767 | mov %rax,16+8(%rsp) # offload $carry |
| 2768 | mov $tptr,24+8(%rsp) |
| 2769 | |
| 2770 | #lea 8*8($tptr),$tptr # see 2*8*8($tptr) above |
| 2771 | xor %eax,%eax # cf=0, of=0 |
| 2772 | jmp .Lsqrx8x_loop |
| 2773 | |
| 2774 | .align 32 |
| 2775 | .Lsqrx8x_loop: |
| 2776 | mov %r8,%rbx |
| 2777 | mulx 0*8($aaptr),%rax,%r8 # a[8]*a[i] |
| 2778 | adcx %rax,%rbx # +=t[8] |
| 2779 | adox %r9,%r8 |
| 2780 | |
| 2781 | mulx 1*8($aaptr),%rax,%r9 # ... |
| 2782 | adcx %rax,%r8 |
| 2783 | adox %r10,%r9 |
| 2784 | |
| 2785 | mulx 2*8($aaptr),%rax,%r10 |
| 2786 | adcx %rax,%r9 |
| 2787 | adox %r11,%r10 |
| 2788 | |
| 2789 | mulx 3*8($aaptr),%rax,%r11 |
| 2790 | adcx %rax,%r10 |
| 2791 | adox %r12,%r11 |
| 2792 | |
| 2793 | .byte 0xc4,0x62,0xfb,0xf6,0xa5,0x20,0x00,0x00,0x00 # mulx 4*8($aaptr),%rax,%r12 |
| 2794 | adcx %rax,%r11 |
| 2795 | adox %r13,%r12 |
| 2796 | |
| 2797 | mulx 5*8($aaptr),%rax,%r13 |
| 2798 | adcx %rax,%r12 |
| 2799 | adox %r14,%r13 |
| 2800 | |
| 2801 | mulx 6*8($aaptr),%rax,%r14 |
| 2802 | mov %rbx,($tptr,%rcx,8) # store t[8+i] |
| 2803 | mov \$0,%ebx |
| 2804 | adcx %rax,%r13 |
| 2805 | adox %r15,%r14 |
| 2806 | |
| 2807 | .byte 0xc4,0x62,0xfb,0xf6,0xbd,0x38,0x00,0x00,0x00 # mulx 7*8($aaptr),%rax,%r15 |
| 2808 | mov 8($aptr,%rcx,8),%rdx # a[i] |
| 2809 | adcx %rax,%r14 |
| 2810 | adox %rbx,%r15 # %rbx is 0, of=0 |
| 2811 | adcx %rbx,%r15 # cf=0 |
| 2812 | |
| 2813 | .byte 0x67 |
| 2814 | inc %rcx # of=0 |
| 2815 | jnz .Lsqrx8x_loop |
| 2816 | |
| 2817 | lea 8*8($aaptr),$aaptr |
| 2818 | mov \$-8,%rcx |
| 2819 | cmp 8+8(%rsp),$aaptr # done? |
| 2820 | je .Lsqrx8x_break |
| 2821 | |
| 2822 | sub 16+8(%rsp),%rbx # mov 16(%rsp),%cf |
| 2823 | .byte 0x66 |
| 2824 | mov -64($aptr),%rdx |
| 2825 | adcx 0*8($tptr),%r8 |
| 2826 | adcx 1*8($tptr),%r9 |
| 2827 | adc 2*8($tptr),%r10 |
| 2828 | adc 3*8($tptr),%r11 |
| 2829 | adc 4*8($tptr),%r12 |
| 2830 | adc 5*8($tptr),%r13 |
| 2831 | adc 6*8($tptr),%r14 |
| 2832 | adc 7*8($tptr),%r15 |
| 2833 | lea 8*8($tptr),$tptr |
| 2834 | .byte 0x67 |
| 2835 | sbb %rax,%rax # mov %cf,%rax |
| 2836 | xor %ebx,%ebx # cf=0, of=0 |
| 2837 | mov %rax,16+8(%rsp) # offload carry |
| 2838 | jmp .Lsqrx8x_loop |
| 2839 | |
| 2840 | .align 32 |
| 2841 | .Lsqrx8x_break: |
| 2842 | sub 16+8(%rsp),%r8 # consume last carry |
| 2843 | mov 24+8(%rsp),$carry # initial $tptr, borrow $carry |
| 2844 | mov 0*8($aptr),%rdx # a[8], modulo-scheduled |
| 2845 | xor %ebp,%ebp # xor $zero,$zero |
| 2846 | mov %r8,0*8($tptr) |
| 2847 | cmp $carry,$tptr # cf=0, of=0 |
| 2848 | je .Lsqrx8x_outer_loop |
| 2849 | |
| 2850 | mov %r9,1*8($tptr) |
| 2851 | mov 1*8($carry),%r9 |
| 2852 | mov %r10,2*8($tptr) |
| 2853 | mov 2*8($carry),%r10 |
| 2854 | mov %r11,3*8($tptr) |
| 2855 | mov 3*8($carry),%r11 |
| 2856 | mov %r12,4*8($tptr) |
| 2857 | mov 4*8($carry),%r12 |
| 2858 | mov %r13,5*8($tptr) |
| 2859 | mov 5*8($carry),%r13 |
| 2860 | mov %r14,6*8($tptr) |
| 2861 | mov 6*8($carry),%r14 |
| 2862 | mov %r15,7*8($tptr) |
| 2863 | mov 7*8($carry),%r15 |
| 2864 | mov $carry,$tptr |
| 2865 | jmp .Lsqrx8x_outer_loop |
| 2866 | |
| 2867 | .align 32 |
| 2868 | .Lsqrx8x_outer_break: |
| 2869 | mov %r9,9*8($tptr) # t[9] |
| 2870 | movq %xmm3,%rcx # -$num |
| 2871 | mov %r10,10*8($tptr) # ... |
| 2872 | mov %r11,11*8($tptr) |
| 2873 | mov %r12,12*8($tptr) |
| 2874 | mov %r13,13*8($tptr) |
| 2875 | mov %r14,14*8($tptr) |
| 2876 | ___ |
| 2877 | }{ |
| 2878 | my $i="%rcx"; |
| 2879 | $code.=<<___; |
| 2880 | lea 48+8(%rsp),$tptr |
| 2881 | mov ($aptr,$i),%rdx # a[0] |
| 2882 | |
| 2883 | mov 8($tptr),$A0[1] # t[1] |
| 2884 | xor $A0[0],$A0[0] # t[0], of=0, cf=0 |
| 2885 | mov 0+8(%rsp),$num # restore $num |
| 2886 | adox $A0[1],$A0[1] |
| 2887 | mov 16($tptr),$A1[0] # t[2] # prefetch |
| 2888 | mov 24($tptr),$A1[1] # t[3] # prefetch |
| 2889 | #jmp .Lsqrx4x_shift_n_add # happens to be aligned |
| 2890 | |
| 2891 | .align 32 |
| 2892 | .Lsqrx4x_shift_n_add: |
| 2893 | mulx %rdx,%rax,%rbx |
| 2894 | adox $A1[0],$A1[0] |
| 2895 | adcx $A0[0],%rax |
| 2896 | .byte 0x48,0x8b,0x94,0x0e,0x08,0x00,0x00,0x00 # mov 8($aptr,$i),%rdx # a[i+1] # prefetch |
| 2897 | .byte 0x4c,0x8b,0x97,0x20,0x00,0x00,0x00 # mov 32($tptr),$A0[0] # t[2*i+4] # prefetch |
| 2898 | adox $A1[1],$A1[1] |
| 2899 | adcx $A0[1],%rbx |
| 2900 | mov 40($tptr),$A0[1] # t[2*i+4+1] # prefetch |
| 2901 | mov %rax,0($tptr) |
| 2902 | mov %rbx,8($tptr) |
| 2903 | |
| 2904 | mulx %rdx,%rax,%rbx |
| 2905 | adox $A0[0],$A0[0] |
| 2906 | adcx $A1[0],%rax |
| 2907 | mov 16($aptr,$i),%rdx # a[i+2] # prefetch |
| 2908 | mov 48($tptr),$A1[0] # t[2*i+6] # prefetch |
| 2909 | adox $A0[1],$A0[1] |
| 2910 | adcx $A1[1],%rbx |
| 2911 | mov 56($tptr),$A1[1] # t[2*i+6+1] # prefetch |
| 2912 | mov %rax,16($tptr) |
| 2913 | mov %rbx,24($tptr) |
| 2914 | |
| 2915 | mulx %rdx,%rax,%rbx |
| 2916 | adox $A1[0],$A1[0] |
| 2917 | adcx $A0[0],%rax |
| 2918 | mov 24($aptr,$i),%rdx # a[i+3] # prefetch |
| 2919 | lea 32($i),$i |
| 2920 | mov 64($tptr),$A0[0] # t[2*i+8] # prefetch |
| 2921 | adox $A1[1],$A1[1] |
| 2922 | adcx $A0[1],%rbx |
| 2923 | mov 72($tptr),$A0[1] # t[2*i+8+1] # prefetch |
| 2924 | mov %rax,32($tptr) |
| 2925 | mov %rbx,40($tptr) |
| 2926 | |
| 2927 | mulx %rdx,%rax,%rbx |
| 2928 | adox $A0[0],$A0[0] |
| 2929 | adcx $A1[0],%rax |
| 2930 | jrcxz .Lsqrx4x_shift_n_add_break |
| 2931 | .byte 0x48,0x8b,0x94,0x0e,0x00,0x00,0x00,0x00 # mov 0($aptr,$i),%rdx # a[i+4] # prefetch |
| 2932 | adox $A0[1],$A0[1] |
| 2933 | adcx $A1[1],%rbx |
| 2934 | mov 80($tptr),$A1[0] # t[2*i+10] # prefetch |
| 2935 | mov 88($tptr),$A1[1] # t[2*i+10+1] # prefetch |
| 2936 | mov %rax,48($tptr) |
| 2937 | mov %rbx,56($tptr) |
| 2938 | lea 64($tptr),$tptr |
| 2939 | nop |
| 2940 | jmp .Lsqrx4x_shift_n_add |
| 2941 | |
| 2942 | .align 32 |
| 2943 | .Lsqrx4x_shift_n_add_break: |
| 2944 | adcx $A1[1],%rbx |
| 2945 | mov %rax,48($tptr) |
| 2946 | mov %rbx,56($tptr) |
| 2947 | lea 64($tptr),$tptr # end of t[] buffer |
| 2948 | ___ |
| 2949 | } |
| 2950 | ###################################################################### |
| 2951 | # Montgomery reduction part, "word-by-word" algorithm. |
| 2952 | # |
| 2953 | # This new path is inspired by multiple submissions from Intel, by |
| 2954 | # Shay Gueron, Vlad Krasnov, Erdinc Ozturk, James Guilford, |
| 2955 | # Vinodh Gopal... |
| 2956 | { |
| 2957 | my ($nptr,$carry,$m0)=("%rbp","%rsi","%rdx"); |
| 2958 | |
| 2959 | $code.=<<___; |
| 2960 | movq %xmm2,$nptr |
| 2961 | sqrx8x_reduction: |
| 2962 | xor %eax,%eax # initial top-most carry bit |
| 2963 | mov 32+8(%rsp),%rbx # n0 |
| 2964 | mov 48+8(%rsp),%rdx # "%r8", 8*0($tptr) |
| 2965 | lea -128($nptr,$num,2),%rcx # end of n[] |
| 2966 | #lea 48+8(%rsp,$num,2),$tptr # end of t[] buffer |
| 2967 | mov %rcx, 0+8(%rsp) # save end of n[] |
| 2968 | mov $tptr,8+8(%rsp) # save end of t[] |
| 2969 | |
| 2970 | lea 48+8(%rsp),$tptr # initial t[] window |
| 2971 | jmp .Lsqrx8x_reduction_loop |
| 2972 | |
| 2973 | .align 32 |
| 2974 | .Lsqrx8x_reduction_loop: |
| 2975 | mov 8*1($tptr),%r9 |
| 2976 | mov 8*2($tptr),%r10 |
| 2977 | mov 8*3($tptr),%r11 |
| 2978 | mov 8*4($tptr),%r12 |
| 2979 | mov %rdx,%r8 |
| 2980 | imulq %rbx,%rdx # n0*a[i] |
| 2981 | mov 8*5($tptr),%r13 |
| 2982 | mov 8*6($tptr),%r14 |
| 2983 | mov 8*7($tptr),%r15 |
| 2984 | mov %rax,24+8(%rsp) # store top-most carry bit |
| 2985 | |
| 2986 | lea 8*8($tptr),$tptr |
| 2987 | xor $carry,$carry # cf=0,of=0 |
| 2988 | mov \$-8,%rcx |
| 2989 | jmp .Lsqrx8x_reduce |
| 2990 | |
| 2991 | .align 32 |
| 2992 | .Lsqrx8x_reduce: |
| 2993 | mov %r8, %rbx |
| 2994 | mulx 16*0($nptr),%rax,%r8 # n[0] |
| 2995 | adcx %rbx,%rax # discarded |
| 2996 | adox %r9,%r8 |
| 2997 | |
| 2998 | mulx 16*1($nptr),%rbx,%r9 # n[1] |
| 2999 | adcx %rbx,%r8 |
| 3000 | adox %r10,%r9 |
| 3001 | |
| 3002 | mulx 16*2($nptr),%rbx,%r10 |
| 3003 | adcx %rbx,%r9 |
| 3004 | adox %r11,%r10 |
| 3005 | |
| 3006 | mulx 16*3($nptr),%rbx,%r11 |
| 3007 | adcx %rbx,%r10 |
| 3008 | adox %r12,%r11 |
| 3009 | |
| 3010 | .byte 0xc4,0x62,0xe3,0xf6,0xa5,0x40,0x00,0x00,0x00 # mulx 16*4($nptr),%rbx,%r12 |
| 3011 | mov %rdx,%rax |
| 3012 | mov %r8,%rdx |
| 3013 | adcx %rbx,%r11 |
| 3014 | adox %r13,%r12 |
| 3015 | |
| 3016 | mulx 32+8(%rsp),%rbx,%rdx # %rdx discarded |
| 3017 | mov %rax,%rdx |
| 3018 | mov %rax,64+48+8(%rsp,%rcx,8) # put aside n0*a[i] |
| 3019 | |
| 3020 | mulx 16*5($nptr),%rax,%r13 |
| 3021 | adcx %rax,%r12 |
| 3022 | adox %r14,%r13 |
| 3023 | |
| 3024 | mulx 16*6($nptr),%rax,%r14 |
| 3025 | adcx %rax,%r13 |
| 3026 | adox %r15,%r14 |
| 3027 | |
| 3028 | mulx 16*7($nptr),%rax,%r15 |
| 3029 | mov %rbx,%rdx |
| 3030 | adcx %rax,%r14 |
| 3031 | adox $carry,%r15 # $carry is 0 |
| 3032 | adcx $carry,%r15 # cf=0 |
| 3033 | |
| 3034 | .byte 0x67,0x67,0x67 |
| 3035 | inc %rcx # of=0 |
| 3036 | jnz .Lsqrx8x_reduce |
| 3037 | |
| 3038 | mov $carry,%rax # xor %rax,%rax |
| 3039 | cmp 0+8(%rsp),$nptr # end of n[]? |
| 3040 | jae .Lsqrx8x_no_tail |
| 3041 | |
| 3042 | mov 48+8(%rsp),%rdx # pull n0*a[0] |
| 3043 | add 8*0($tptr),%r8 |
| 3044 | lea 16*8($nptr),$nptr |
| 3045 | mov \$-8,%rcx |
| 3046 | adcx 8*1($tptr),%r9 |
| 3047 | adcx 8*2($tptr),%r10 |
| 3048 | adc 8*3($tptr),%r11 |
| 3049 | adc 8*4($tptr),%r12 |
| 3050 | adc 8*5($tptr),%r13 |
| 3051 | adc 8*6($tptr),%r14 |
| 3052 | adc 8*7($tptr),%r15 |
| 3053 | lea 8*8($tptr),$tptr |
| 3054 | sbb %rax,%rax # top carry |
| 3055 | |
| 3056 | xor $carry,$carry # of=0, cf=0 |
| 3057 | mov %rax,16+8(%rsp) |
| 3058 | jmp .Lsqrx8x_tail |
| 3059 | |
| 3060 | .align 32 |
| 3061 | .Lsqrx8x_tail: |
| 3062 | mov %r8,%rbx |
| 3063 | mulx 16*0($nptr),%rax,%r8 |
| 3064 | adcx %rax,%rbx |
| 3065 | adox %r9,%r8 |
| 3066 | |
| 3067 | mulx 16*1($nptr),%rax,%r9 |
| 3068 | adcx %rax,%r8 |
| 3069 | adox %r10,%r9 |
| 3070 | |
| 3071 | mulx 16*2($nptr),%rax,%r10 |
| 3072 | adcx %rax,%r9 |
| 3073 | adox %r11,%r10 |
| 3074 | |
| 3075 | mulx 16*3($nptr),%rax,%r11 |
| 3076 | adcx %rax,%r10 |
| 3077 | adox %r12,%r11 |
| 3078 | |
| 3079 | .byte 0xc4,0x62,0xfb,0xf6,0xa5,0x40,0x00,0x00,0x00 # mulx 16*4($nptr),%rax,%r12 |
| 3080 | adcx %rax,%r11 |
| 3081 | adox %r13,%r12 |
| 3082 | |
| 3083 | mulx 16*5($nptr),%rax,%r13 |
| 3084 | adcx %rax,%r12 |
| 3085 | adox %r14,%r13 |
| 3086 | |
| 3087 | mulx 16*6($nptr),%rax,%r14 |
| 3088 | adcx %rax,%r13 |
| 3089 | adox %r15,%r14 |
| 3090 | |
| 3091 | mulx 16*7($nptr),%rax,%r15 |
| 3092 | mov 72+48+8(%rsp,%rcx,8),%rdx # pull n0*a[i] |
| 3093 | adcx %rax,%r14 |
| 3094 | adox $carry,%r15 |
| 3095 | mov %rbx,($tptr,%rcx,8) # save result |
| 3096 | mov %r8,%rbx |
| 3097 | adcx $carry,%r15 # cf=0 |
| 3098 | |
| 3099 | inc %rcx # of=0 |
| 3100 | jnz .Lsqrx8x_tail |
| 3101 | |
| 3102 | cmp 0+8(%rsp),$nptr # end of n[]? |
| 3103 | jae .Lsqrx8x_tail_done # break out of loop |
| 3104 | |
| 3105 | sub 16+8(%rsp),$carry # mov 16(%rsp),%cf |
| 3106 | mov 48+8(%rsp),%rdx # pull n0*a[0] |
| 3107 | lea 16*8($nptr),$nptr |
| 3108 | adc 8*0($tptr),%r8 |
| 3109 | adc 8*1($tptr),%r9 |
| 3110 | adc 8*2($tptr),%r10 |
| 3111 | adc 8*3($tptr),%r11 |
| 3112 | adc 8*4($tptr),%r12 |
| 3113 | adc 8*5($tptr),%r13 |
| 3114 | adc 8*6($tptr),%r14 |
| 3115 | adc 8*7($tptr),%r15 |
| 3116 | lea 8*8($tptr),$tptr |
| 3117 | sbb %rax,%rax |
| 3118 | sub \$8,%rcx # mov \$-8,%rcx |
| 3119 | |
| 3120 | xor $carry,$carry # of=0, cf=0 |
| 3121 | mov %rax,16+8(%rsp) |
| 3122 | jmp .Lsqrx8x_tail |
| 3123 | |
| 3124 | .align 32 |
| 3125 | .Lsqrx8x_tail_done: |
| 3126 | add 24+8(%rsp),%r8 # can this overflow? |
| 3127 | mov $carry,%rax # xor %rax,%rax |
| 3128 | |
| 3129 | sub 16+8(%rsp),$carry # mov 16(%rsp),%cf |
| 3130 | .Lsqrx8x_no_tail: # %cf is 0 if jumped here |
| 3131 | adc 8*0($tptr),%r8 |
| 3132 | movq %xmm3,%rcx |
| 3133 | adc 8*1($tptr),%r9 |
| 3134 | mov 16*7($nptr),$carry |
| 3135 | movq %xmm2,$nptr # restore $nptr |
| 3136 | adc 8*2($tptr),%r10 |
| 3137 | adc 8*3($tptr),%r11 |
| 3138 | adc 8*4($tptr),%r12 |
| 3139 | adc 8*5($tptr),%r13 |
| 3140 | adc 8*6($tptr),%r14 |
| 3141 | adc 8*7($tptr),%r15 |
| 3142 | adc %rax,%rax # top-most carry |
| 3143 | |
| 3144 | mov 32+8(%rsp),%rbx # n0 |
| 3145 | mov 8*8($tptr,%rcx),%rdx # modulo-scheduled "%r8" |
| 3146 | |
| 3147 | mov %r8,8*0($tptr) # store top 512 bits |
| 3148 | lea 8*8($tptr),%r8 # borrow %r8 |
| 3149 | mov %r9,8*1($tptr) |
| 3150 | mov %r10,8*2($tptr) |
| 3151 | mov %r11,8*3($tptr) |
| 3152 | mov %r12,8*4($tptr) |
| 3153 | mov %r13,8*5($tptr) |
| 3154 | mov %r14,8*6($tptr) |
| 3155 | mov %r15,8*7($tptr) |
| 3156 | |
| 3157 | lea 8*8($tptr,%rcx),$tptr # start of current t[] window |
| 3158 | cmp 8+8(%rsp),%r8 # end of t[]? |
| 3159 | jb .Lsqrx8x_reduction_loop |
| 3160 | ___ |
| 3161 | } |
| 3162 | ############################################################## |
| 3163 | # Post-condition, 4x unrolled |
| 3164 | # |
| 3165 | { |
| 3166 | my ($rptr,$nptr)=("%rdx","%rbp"); |
| 3167 | my @ri=map("%r$_",(10..13)); |
| 3168 | my @ni=map("%r$_",(14..15)); |
| 3169 | $code.=<<___; |
| 3170 | xor %rbx,%rbx |
| 3171 | sub %r15,%rsi # compare top-most words |
| 3172 | adc %rbx,%rbx |
| 3173 | mov %rcx,%r10 # -$num |
| 3174 | .byte 0x67 |
| 3175 | or %rbx,%rax |
| 3176 | .byte 0x67 |
| 3177 | mov %rcx,%r9 # -$num |
| 3178 | xor \$1,%rax |
| 3179 | sar \$3+2,%rcx # cf=0 |
| 3180 | #lea 48+8(%rsp,%r9),$tptr |
| 3181 | lea ($nptr,%rax,8),$nptr |
| 3182 | movq %xmm1,$rptr # restore $rptr |
| 3183 | movq %xmm1,$aptr # prepare for back-to-back call |
| 3184 | jmp .Lsqrx4x_sub |
| 3185 | |
| 3186 | .align 32 |
| 3187 | .Lsqrx4x_sub: |
| 3188 | .byte 0x66 |
| 3189 | mov 8*0($tptr),%r12 |
| 3190 | mov 8*1($tptr),%r13 |
| 3191 | sbb 16*0($nptr),%r12 |
| 3192 | mov 8*2($tptr),%r14 |
| 3193 | sbb 16*1($nptr),%r13 |
| 3194 | mov 8*3($tptr),%r15 |
| 3195 | lea 8*4($tptr),$tptr |
| 3196 | sbb 16*2($nptr),%r14 |
| 3197 | mov %r12,8*0($rptr) |
| 3198 | sbb 16*3($nptr),%r15 |
| 3199 | lea 16*4($nptr),$nptr |
| 3200 | mov %r13,8*1($rptr) |
| 3201 | mov %r14,8*2($rptr) |
| 3202 | mov %r15,8*3($rptr) |
| 3203 | lea 8*4($rptr),$rptr |
| 3204 | |
| 3205 | inc %rcx |
| 3206 | jnz .Lsqrx4x_sub |
| 3207 | ___ |
| 3208 | } |
| 3209 | $code.=<<___; |
| 3210 | neg %r9 # restore $num |
| 3211 | |
| 3212 | ret |
| 3213 | .size bn_sqrx8x_internal,.-bn_sqrx8x_internal |
| 3214 | ___ |
| 3215 | }}} |
| 3216 | { |
| 3217 | my ($inp,$num,$tbl,$idx)=$win64?("%rcx","%edx","%r8", "%r9d") : # Win64 order |
| 3218 | ("%rdi","%esi","%rdx","%ecx"); # Unix order |
| 3219 | my $out=$inp; |
| 3220 | my $STRIDE=2**5*8; |
| 3221 | my $N=$STRIDE/4; |
| 3222 | |
| 3223 | $code.=<<___; |
| 3224 | .globl bn_scatter5 |
| 3225 | .type bn_scatter5,\@abi-omnipotent |
| 3226 | .align 16 |
| 3227 | bn_scatter5: |
| 3228 | cmp \$0, $num |
| 3229 | jz .Lscatter_epilogue |
| 3230 | lea ($tbl,$idx,8),$tbl |
| 3231 | .Lscatter: |
| 3232 | mov ($inp),%rax |
| 3233 | lea 8($inp),$inp |
| 3234 | mov %rax,($tbl) |
| 3235 | lea 32*8($tbl),$tbl |
| 3236 | sub \$1,$num |
| 3237 | jnz .Lscatter |
| 3238 | .Lscatter_epilogue: |
| 3239 | ret |
| 3240 | .size bn_scatter5,.-bn_scatter5 |
| 3241 | |
| 3242 | .globl bn_gather5 |
| 3243 | .type bn_gather5,\@abi-omnipotent |
| 3244 | .align 16 |
| 3245 | bn_gather5: |
| 3246 | ___ |
| 3247 | $code.=<<___ if ($win64); |
| 3248 | .LSEH_begin_bn_gather5: |
| 3249 | # I can't trust assembler to use specific encoding:-( |
| 3250 | .byte 0x48,0x83,0xec,0x28 #sub \$0x28,%rsp |
| 3251 | .byte 0x0f,0x29,0x34,0x24 #movaps %xmm6,(%rsp) |
| 3252 | .byte 0x0f,0x29,0x7c,0x24,0x10 #movdqa %xmm7,0x10(%rsp) |
| 3253 | ___ |
| 3254 | $code.=<<___; |
| 3255 | mov $idx,%r11d |
| 3256 | shr \$`log($N/8)/log(2)`,$idx |
| 3257 | and \$`$N/8-1`,%r11 |
| 3258 | not $idx |
| 3259 | lea .Lmagic_masks(%rip),%rax |
| 3260 | and \$`2**5/($N/8)-1`,$idx # 5 is "window size" |
| 3261 | lea 128($tbl,%r11,8),$tbl # pointer within 1st cache line |
| 3262 | movq 0(%rax,$idx,8),%xmm4 # set of masks denoting which |
| 3263 | movq 8(%rax,$idx,8),%xmm5 # cache line contains element |
| 3264 | movq 16(%rax,$idx,8),%xmm6 # denoted by 7th argument |
| 3265 | movq 24(%rax,$idx,8),%xmm7 |
| 3266 | jmp .Lgather |
| 3267 | .align 16 |
| 3268 | .Lgather: |
| 3269 | movq `0*$STRIDE/4-128`($tbl),%xmm0 |
| 3270 | movq `1*$STRIDE/4-128`($tbl),%xmm1 |
| 3271 | pand %xmm4,%xmm0 |
| 3272 | movq `2*$STRIDE/4-128`($tbl),%xmm2 |
| 3273 | pand %xmm5,%xmm1 |
| 3274 | movq `3*$STRIDE/4-128`($tbl),%xmm3 |
| 3275 | pand %xmm6,%xmm2 |
| 3276 | por %xmm1,%xmm0 |
| 3277 | pand %xmm7,%xmm3 |
| 3278 | .byte 0x67,0x67 |
| 3279 | por %xmm2,%xmm0 |
| 3280 | lea $STRIDE($tbl),$tbl |
| 3281 | por %xmm3,%xmm0 |
| 3282 | |
| 3283 | movq %xmm0,($out) # m0=bp[0] |
| 3284 | lea 8($out),$out |
| 3285 | sub \$1,$num |
| 3286 | jnz .Lgather |
| 3287 | ___ |
| 3288 | $code.=<<___ if ($win64); |
| 3289 | movaps (%rsp),%xmm6 |
| 3290 | movaps 0x10(%rsp),%xmm7 |
| 3291 | lea 0x28(%rsp),%rsp |
| 3292 | ___ |
| 3293 | $code.=<<___; |
| 3294 | ret |
| 3295 | .LSEH_end_bn_gather5: |
| 3296 | .size bn_gather5,.-bn_gather5 |
| 3297 | ___ |
| 3298 | } |
| 3299 | $code.=<<___; |
| 3300 | .align 64 |
| 3301 | .Lmagic_masks: |
| 3302 | .long 0,0, 0,0, 0,0, -1,-1 |
| 3303 | .long 0,0, 0,0, 0,0, 0,0 |
| 3304 | .asciz "Montgomery Multiplication with scatter/gather for x86_64, CRYPTOGAMS by <appro\@openssl.org>" |
| 3305 | ___ |
| 3306 | |
| 3307 | # EXCEPTION_DISPOSITION handler (EXCEPTION_RECORD *rec,ULONG64 frame, |
| 3308 | # CONTEXT *context,DISPATCHER_CONTEXT *disp) |
| 3309 | if ($win64) { |
| 3310 | $rec="%rcx"; |
| 3311 | $frame="%rdx"; |
| 3312 | $context="%r8"; |
| 3313 | $disp="%r9"; |
| 3314 | |
| 3315 | $code.=<<___; |
| 3316 | .extern __imp_RtlVirtualUnwind |
| 3317 | .type mul_handler,\@abi-omnipotent |
| 3318 | .align 16 |
| 3319 | mul_handler: |
| 3320 | push %rsi |
| 3321 | push %rdi |
| 3322 | push %rbx |
| 3323 | push %rbp |
| 3324 | push %r12 |
| 3325 | push %r13 |
| 3326 | push %r14 |
| 3327 | push %r15 |
| 3328 | pushfq |
| 3329 | sub \$64,%rsp |
| 3330 | |
| 3331 | mov 120($context),%rax # pull context->Rax |
| 3332 | mov 248($context),%rbx # pull context->Rip |
| 3333 | |
| 3334 | mov 8($disp),%rsi # disp->ImageBase |
| 3335 | mov 56($disp),%r11 # disp->HandlerData |
| 3336 | |
| 3337 | mov 0(%r11),%r10d # HandlerData[0] |
| 3338 | lea (%rsi,%r10),%r10 # end of prologue label |
| 3339 | cmp %r10,%rbx # context->Rip<end of prologue label |
| 3340 | jb .Lcommon_seh_tail |
| 3341 | |
| 3342 | mov 152($context),%rax # pull context->Rsp |
| 3343 | |
| 3344 | mov 4(%r11),%r10d # HandlerData[1] |
| 3345 | lea (%rsi,%r10),%r10 # epilogue label |
| 3346 | cmp %r10,%rbx # context->Rip>=epilogue label |
| 3347 | jae .Lcommon_seh_tail |
| 3348 | |
| 3349 | lea .Lmul_epilogue(%rip),%r10 |
| 3350 | cmp %r10,%rbx |
| 3351 | jb .Lbody_40 |
| 3352 | |
| 3353 | mov 192($context),%r10 # pull $num |
| 3354 | mov 8(%rax,%r10,8),%rax # pull saved stack pointer |
| 3355 | jmp .Lbody_proceed |
| 3356 | |
| 3357 | .Lbody_40: |
| 3358 | mov 40(%rax),%rax # pull saved stack pointer |
| 3359 | .Lbody_proceed: |
| 3360 | |
| 3361 | movaps -88(%rax),%xmm0 |
| 3362 | movaps -72(%rax),%xmm1 |
| 3363 | |
| 3364 | mov -8(%rax),%rbx |
| 3365 | mov -16(%rax),%rbp |
| 3366 | mov -24(%rax),%r12 |
| 3367 | mov -32(%rax),%r13 |
| 3368 | mov -40(%rax),%r14 |
| 3369 | mov -48(%rax),%r15 |
| 3370 | mov %rbx,144($context) # restore context->Rbx |
| 3371 | mov %rbp,160($context) # restore context->Rbp |
| 3372 | mov %r12,216($context) # restore context->R12 |
| 3373 | mov %r13,224($context) # restore context->R13 |
| 3374 | mov %r14,232($context) # restore context->R14 |
| 3375 | mov %r15,240($context) # restore context->R15 |
| 3376 | movups %xmm0,512($context) # restore context->Xmm6 |
| 3377 | movups %xmm1,528($context) # restore context->Xmm7 |
| 3378 | |
| 3379 | .Lcommon_seh_tail: |
| 3380 | mov 8(%rax),%rdi |
| 3381 | mov 16(%rax),%rsi |
| 3382 | mov %rax,152($context) # restore context->Rsp |
| 3383 | mov %rsi,168($context) # restore context->Rsi |
| 3384 | mov %rdi,176($context) # restore context->Rdi |
| 3385 | |
| 3386 | mov 40($disp),%rdi # disp->ContextRecord |
| 3387 | mov $context,%rsi # context |
| 3388 | mov \$154,%ecx # sizeof(CONTEXT) |
| 3389 | .long 0xa548f3fc # cld; rep movsq |
| 3390 | |
| 3391 | mov $disp,%rsi |
| 3392 | xor %rcx,%rcx # arg1, UNW_FLAG_NHANDLER |
| 3393 | mov 8(%rsi),%rdx # arg2, disp->ImageBase |
| 3394 | mov 0(%rsi),%r8 # arg3, disp->ControlPc |
| 3395 | mov 16(%rsi),%r9 # arg4, disp->FunctionEntry |
| 3396 | mov 40(%rsi),%r10 # disp->ContextRecord |
| 3397 | lea 56(%rsi),%r11 # &disp->HandlerData |
| 3398 | lea 24(%rsi),%r12 # &disp->EstablisherFrame |
| 3399 | mov %r10,32(%rsp) # arg5 |
| 3400 | mov %r11,40(%rsp) # arg6 |
| 3401 | mov %r12,48(%rsp) # arg7 |
| 3402 | mov %rcx,56(%rsp) # arg8, (NULL) |
| 3403 | call *__imp_RtlVirtualUnwind(%rip) |
| 3404 | |
| 3405 | mov \$1,%eax # ExceptionContinueSearch |
| 3406 | add \$64,%rsp |
| 3407 | popfq |
| 3408 | pop %r15 |
| 3409 | pop %r14 |
| 3410 | pop %r13 |
| 3411 | pop %r12 |
| 3412 | pop %rbp |
| 3413 | pop %rbx |
| 3414 | pop %rdi |
| 3415 | pop %rsi |
| 3416 | ret |
| 3417 | .size mul_handler,.-mul_handler |
| 3418 | |
| 3419 | .section .pdata |
| 3420 | .align 4 |
| 3421 | .rva .LSEH_begin_bn_mul_mont_gather5 |
| 3422 | .rva .LSEH_end_bn_mul_mont_gather5 |
| 3423 | .rva .LSEH_info_bn_mul_mont_gather5 |
| 3424 | |
| 3425 | .rva .LSEH_begin_bn_mul4x_mont_gather5 |
| 3426 | .rva .LSEH_end_bn_mul4x_mont_gather5 |
| 3427 | .rva .LSEH_info_bn_mul4x_mont_gather5 |
| 3428 | |
| 3429 | .rva .LSEH_begin_bn_power5 |
| 3430 | .rva .LSEH_end_bn_power5 |
| 3431 | .rva .LSEH_info_bn_power5 |
| 3432 | |
| 3433 | .rva .LSEH_begin_bn_from_mont8x |
| 3434 | .rva .LSEH_end_bn_from_mont8x |
| 3435 | .rva .LSEH_info_bn_from_mont8x |
| 3436 | ___ |
| 3437 | $code.=<<___ if ($addx); |
| 3438 | .rva .LSEH_begin_bn_mulx4x_mont_gather5 |
| 3439 | .rva .LSEH_end_bn_mulx4x_mont_gather5 |
| 3440 | .rva .LSEH_info_bn_mulx4x_mont_gather5 |
| 3441 | |
| 3442 | .rva .LSEH_begin_bn_powerx5 |
| 3443 | .rva .LSEH_end_bn_powerx5 |
| 3444 | .rva .LSEH_info_bn_powerx5 |
| 3445 | ___ |
| 3446 | $code.=<<___; |
| 3447 | .rva .LSEH_begin_bn_gather5 |
| 3448 | .rva .LSEH_end_bn_gather5 |
| 3449 | .rva .LSEH_info_bn_gather5 |
| 3450 | |
| 3451 | .section .xdata |
| 3452 | .align 8 |
| 3453 | .LSEH_info_bn_mul_mont_gather5: |
| 3454 | .byte 9,0,0,0 |
| 3455 | .rva mul_handler |
| 3456 | .rva .Lmul_body,.Lmul_epilogue # HandlerData[] |
| 3457 | .align 8 |
| 3458 | .LSEH_info_bn_mul4x_mont_gather5: |
| 3459 | .byte 9,0,0,0 |
| 3460 | .rva mul_handler |
| 3461 | .rva .Lmul4x_body,.Lmul4x_epilogue # HandlerData[] |
| 3462 | .align 8 |
| 3463 | .LSEH_info_bn_power5: |
| 3464 | .byte 9,0,0,0 |
| 3465 | .rva mul_handler |
| 3466 | .rva .Lpower5_body,.Lpower5_epilogue # HandlerData[] |
| 3467 | .align 8 |
| 3468 | .LSEH_info_bn_from_mont8x: |
| 3469 | .byte 9,0,0,0 |
| 3470 | .rva mul_handler |
| 3471 | .rva .Lfrom_body,.Lfrom_epilogue # HandlerData[] |
| 3472 | ___ |
| 3473 | $code.=<<___ if ($addx); |
| 3474 | .align 8 |
| 3475 | .LSEH_info_bn_mulx4x_mont_gather5: |
| 3476 | .byte 9,0,0,0 |
| 3477 | .rva mul_handler |
| 3478 | .rva .Lmulx4x_body,.Lmulx4x_epilogue # HandlerData[] |
| 3479 | .align 8 |
| 3480 | .LSEH_info_bn_powerx5: |
| 3481 | .byte 9,0,0,0 |
| 3482 | .rva mul_handler |
| 3483 | .rva .Lpowerx5_body,.Lpowerx5_epilogue # HandlerData[] |
| 3484 | ___ |
| 3485 | $code.=<<___; |
| 3486 | .align 8 |
| 3487 | .LSEH_info_bn_gather5: |
| 3488 | .byte 0x01,0x0d,0x05,0x00 |
| 3489 | .byte 0x0d,0x78,0x01,0x00 #movaps 0x10(rsp),xmm7 |
| 3490 | .byte 0x08,0x68,0x00,0x00 #movaps (rsp),xmm6 |
| 3491 | .byte 0x04,0x42,0x00,0x00 #sub rsp,0x28 |
| 3492 | .align 8 |
| 3493 | ___ |
| 3494 | } |
| 3495 | |
| 3496 | $code =~ s/\`([^\`]*)\`/eval($1)/gem; |
| 3497 | |
| 3498 | print $code; |
| 3499 | close STDOUT; |