Alexandre Savard | 1b09e31 | 2012-08-07 20:33:29 -0400 | [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 | # October 2005. |
| 11 | # |
| 12 | # Montgomery multiplication routine for x86_64. While it gives modest |
| 13 | # 9% improvement of rsa4096 sign on Opteron, rsa512 sign runs more |
| 14 | # than twice, >2x, as fast. Most common rsa1024 sign is improved by |
| 15 | # respectful 50%. It remains to be seen if loop unrolling and |
| 16 | # dedicated squaring routine can provide further improvement... |
| 17 | |
| 18 | # July 2011. |
| 19 | # |
| 20 | # Add dedicated squaring procedure. Performance improvement varies |
| 21 | # from platform to platform, but in average it's ~5%/15%/25%/33% |
| 22 | # for 512-/1024-/2048-/4096-bit RSA *sign* benchmarks respectively. |
| 23 | |
| 24 | # August 2011. |
| 25 | # |
| 26 | # Unroll and modulo-schedule inner loops in such manner that they |
| 27 | # are "fallen through" for input lengths of 8, which is critical for |
| 28 | # 1024-bit RSA *sign*. Average performance improvement in comparison |
| 29 | # to *initial* version of this module from 2005 is ~0%/30%/40%/45% |
| 30 | # for 512-/1024-/2048-/4096-bit RSA *sign* benchmarks respectively. |
| 31 | |
| 32 | $flavour = shift; |
| 33 | $output = shift; |
| 34 | if ($flavour =~ /\./) { $output = $flavour; undef $flavour; } |
| 35 | |
| 36 | $win64=0; $win64=1 if ($flavour =~ /[nm]asm|mingw64/ || $output =~ /\.asm$/); |
| 37 | |
| 38 | $0 =~ m/(.*[\/\\])[^\/\\]+$/; $dir=$1; |
| 39 | ( $xlate="${dir}x86_64-xlate.pl" and -f $xlate ) or |
| 40 | ( $xlate="${dir}../../perlasm/x86_64-xlate.pl" and -f $xlate) or |
| 41 | die "can't locate x86_64-xlate.pl"; |
| 42 | |
| 43 | open STDOUT,"| $^X $xlate $flavour $output"; |
| 44 | |
| 45 | # int bn_mul_mont( |
| 46 | $rp="%rdi"; # BN_ULONG *rp, |
| 47 | $ap="%rsi"; # const BN_ULONG *ap, |
| 48 | $bp="%rdx"; # const BN_ULONG *bp, |
| 49 | $np="%rcx"; # const BN_ULONG *np, |
| 50 | $n0="%r8"; # const BN_ULONG *n0, |
| 51 | $num="%r9"; # int num); |
| 52 | $lo0="%r10"; |
| 53 | $hi0="%r11"; |
| 54 | $hi1="%r13"; |
| 55 | $i="%r14"; |
| 56 | $j="%r15"; |
| 57 | $m0="%rbx"; |
| 58 | $m1="%rbp"; |
| 59 | |
| 60 | $code=<<___; |
| 61 | .text |
| 62 | |
| 63 | .globl bn_mul_mont |
| 64 | .type bn_mul_mont,\@function,6 |
| 65 | .align 16 |
| 66 | bn_mul_mont: |
| 67 | test \$3,${num}d |
| 68 | jnz .Lmul_enter |
| 69 | cmp \$8,${num}d |
| 70 | jb .Lmul_enter |
| 71 | cmp $ap,$bp |
| 72 | jne .Lmul4x_enter |
| 73 | jmp .Lsqr4x_enter |
| 74 | |
| 75 | .align 16 |
| 76 | .Lmul_enter: |
| 77 | push %rbx |
| 78 | push %rbp |
| 79 | push %r12 |
| 80 | push %r13 |
| 81 | push %r14 |
| 82 | push %r15 |
| 83 | |
| 84 | mov ${num}d,${num}d |
| 85 | lea 2($num),%r10 |
| 86 | mov %rsp,%r11 |
| 87 | neg %r10 |
| 88 | lea (%rsp,%r10,8),%rsp # tp=alloca(8*(num+2)) |
| 89 | and \$-1024,%rsp # minimize TLB usage |
| 90 | |
| 91 | mov %r11,8(%rsp,$num,8) # tp[num+1]=%rsp |
| 92 | .Lmul_body: |
| 93 | mov $bp,%r12 # reassign $bp |
| 94 | ___ |
| 95 | $bp="%r12"; |
| 96 | $code.=<<___; |
| 97 | mov ($n0),$n0 # pull n0[0] value |
| 98 | mov ($bp),$m0 # m0=bp[0] |
| 99 | mov ($ap),%rax |
| 100 | |
| 101 | xor $i,$i # i=0 |
| 102 | xor $j,$j # j=0 |
| 103 | |
| 104 | mov $n0,$m1 |
| 105 | mulq $m0 # ap[0]*bp[0] |
| 106 | mov %rax,$lo0 |
| 107 | mov ($np),%rax |
| 108 | |
| 109 | imulq $lo0,$m1 # "tp[0]"*n0 |
| 110 | mov %rdx,$hi0 |
| 111 | |
| 112 | mulq $m1 # np[0]*m1 |
| 113 | add %rax,$lo0 # discarded |
| 114 | mov 8($ap),%rax |
| 115 | adc \$0,%rdx |
| 116 | mov %rdx,$hi1 |
| 117 | |
| 118 | lea 1($j),$j # j++ |
| 119 | jmp .L1st_enter |
| 120 | |
| 121 | .align 16 |
| 122 | .L1st: |
| 123 | add %rax,$hi1 |
| 124 | mov ($ap,$j,8),%rax |
| 125 | adc \$0,%rdx |
| 126 | add $hi0,$hi1 # np[j]*m1+ap[j]*bp[0] |
| 127 | mov $lo0,$hi0 |
| 128 | adc \$0,%rdx |
| 129 | mov $hi1,-16(%rsp,$j,8) # tp[j-1] |
| 130 | mov %rdx,$hi1 |
| 131 | |
| 132 | .L1st_enter: |
| 133 | mulq $m0 # ap[j]*bp[0] |
| 134 | add %rax,$hi0 |
| 135 | mov ($np,$j,8),%rax |
| 136 | adc \$0,%rdx |
| 137 | lea 1($j),$j # j++ |
| 138 | mov %rdx,$lo0 |
| 139 | |
| 140 | mulq $m1 # np[j]*m1 |
| 141 | cmp $num,$j |
| 142 | jne .L1st |
| 143 | |
| 144 | add %rax,$hi1 |
| 145 | mov ($ap),%rax # ap[0] |
| 146 | adc \$0,%rdx |
| 147 | add $hi0,$hi1 # np[j]*m1+ap[j]*bp[0] |
| 148 | adc \$0,%rdx |
| 149 | mov $hi1,-16(%rsp,$j,8) # tp[j-1] |
| 150 | mov %rdx,$hi1 |
| 151 | mov $lo0,$hi0 |
| 152 | |
| 153 | xor %rdx,%rdx |
| 154 | add $hi0,$hi1 |
| 155 | adc \$0,%rdx |
| 156 | mov $hi1,-8(%rsp,$num,8) |
| 157 | mov %rdx,(%rsp,$num,8) # store upmost overflow bit |
| 158 | |
| 159 | lea 1($i),$i # i++ |
| 160 | jmp .Louter |
| 161 | .align 16 |
| 162 | .Louter: |
| 163 | mov ($bp,$i,8),$m0 # m0=bp[i] |
| 164 | xor $j,$j # j=0 |
| 165 | mov $n0,$m1 |
| 166 | mov (%rsp),$lo0 |
| 167 | mulq $m0 # ap[0]*bp[i] |
| 168 | add %rax,$lo0 # ap[0]*bp[i]+tp[0] |
| 169 | mov ($np),%rax |
| 170 | adc \$0,%rdx |
| 171 | |
| 172 | imulq $lo0,$m1 # tp[0]*n0 |
| 173 | mov %rdx,$hi0 |
| 174 | |
| 175 | mulq $m1 # np[0]*m1 |
| 176 | add %rax,$lo0 # discarded |
| 177 | mov 8($ap),%rax |
| 178 | adc \$0,%rdx |
| 179 | mov 8(%rsp),$lo0 # tp[1] |
| 180 | mov %rdx,$hi1 |
| 181 | |
| 182 | lea 1($j),$j # j++ |
| 183 | jmp .Linner_enter |
| 184 | |
| 185 | .align 16 |
| 186 | .Linner: |
| 187 | add %rax,$hi1 |
| 188 | mov ($ap,$j,8),%rax |
| 189 | adc \$0,%rdx |
| 190 | add $lo0,$hi1 # np[j]*m1+ap[j]*bp[i]+tp[j] |
| 191 | mov (%rsp,$j,8),$lo0 |
| 192 | adc \$0,%rdx |
| 193 | mov $hi1,-16(%rsp,$j,8) # tp[j-1] |
| 194 | mov %rdx,$hi1 |
| 195 | |
| 196 | .Linner_enter: |
| 197 | mulq $m0 # ap[j]*bp[i] |
| 198 | add %rax,$hi0 |
| 199 | mov ($np,$j,8),%rax |
| 200 | adc \$0,%rdx |
| 201 | add $hi0,$lo0 # ap[j]*bp[i]+tp[j] |
| 202 | mov %rdx,$hi0 |
| 203 | adc \$0,$hi0 |
| 204 | lea 1($j),$j # j++ |
| 205 | |
| 206 | mulq $m1 # np[j]*m1 |
| 207 | cmp $num,$j |
| 208 | jne .Linner |
| 209 | |
| 210 | add %rax,$hi1 |
| 211 | mov ($ap),%rax # ap[0] |
| 212 | adc \$0,%rdx |
| 213 | add $lo0,$hi1 # np[j]*m1+ap[j]*bp[i]+tp[j] |
| 214 | mov (%rsp,$j,8),$lo0 |
| 215 | adc \$0,%rdx |
| 216 | mov $hi1,-16(%rsp,$j,8) # tp[j-1] |
| 217 | mov %rdx,$hi1 |
| 218 | |
| 219 | xor %rdx,%rdx |
| 220 | add $hi0,$hi1 |
| 221 | adc \$0,%rdx |
| 222 | add $lo0,$hi1 # pull upmost overflow bit |
| 223 | adc \$0,%rdx |
| 224 | mov $hi1,-8(%rsp,$num,8) |
| 225 | mov %rdx,(%rsp,$num,8) # store upmost overflow bit |
| 226 | |
| 227 | lea 1($i),$i # i++ |
| 228 | cmp $num,$i |
| 229 | jl .Louter |
| 230 | |
| 231 | xor $i,$i # i=0 and clear CF! |
| 232 | mov (%rsp),%rax # tp[0] |
| 233 | lea (%rsp),$ap # borrow ap for tp |
| 234 | mov $num,$j # j=num |
| 235 | jmp .Lsub |
| 236 | .align 16 |
| 237 | .Lsub: sbb ($np,$i,8),%rax |
| 238 | mov %rax,($rp,$i,8) # rp[i]=tp[i]-np[i] |
| 239 | mov 8($ap,$i,8),%rax # tp[i+1] |
| 240 | lea 1($i),$i # i++ |
| 241 | dec $j # doesnn't affect CF! |
| 242 | jnz .Lsub |
| 243 | |
| 244 | sbb \$0,%rax # handle upmost overflow bit |
| 245 | xor $i,$i |
| 246 | and %rax,$ap |
| 247 | not %rax |
| 248 | mov $rp,$np |
| 249 | and %rax,$np |
| 250 | mov $num,$j # j=num |
| 251 | or $np,$ap # ap=borrow?tp:rp |
| 252 | .align 16 |
| 253 | .Lcopy: # copy or in-place refresh |
| 254 | mov ($ap,$i,8),%rax |
| 255 | mov $i,(%rsp,$i,8) # zap temporary vector |
| 256 | mov %rax,($rp,$i,8) # rp[i]=tp[i] |
| 257 | lea 1($i),$i |
| 258 | sub \$1,$j |
| 259 | jnz .Lcopy |
| 260 | |
| 261 | mov 8(%rsp,$num,8),%rsi # restore %rsp |
| 262 | mov \$1,%rax |
| 263 | mov (%rsi),%r15 |
| 264 | mov 8(%rsi),%r14 |
| 265 | mov 16(%rsi),%r13 |
| 266 | mov 24(%rsi),%r12 |
| 267 | mov 32(%rsi),%rbp |
| 268 | mov 40(%rsi),%rbx |
| 269 | lea 48(%rsi),%rsp |
| 270 | .Lmul_epilogue: |
| 271 | ret |
| 272 | .size bn_mul_mont,.-bn_mul_mont |
| 273 | ___ |
| 274 | {{{ |
| 275 | my @A=("%r10","%r11"); |
| 276 | my @N=("%r13","%rdi"); |
| 277 | $code.=<<___; |
| 278 | .type bn_mul4x_mont,\@function,6 |
| 279 | .align 16 |
| 280 | bn_mul4x_mont: |
| 281 | .Lmul4x_enter: |
| 282 | push %rbx |
| 283 | push %rbp |
| 284 | push %r12 |
| 285 | push %r13 |
| 286 | push %r14 |
| 287 | push %r15 |
| 288 | |
| 289 | mov ${num}d,${num}d |
| 290 | lea 4($num),%r10 |
| 291 | mov %rsp,%r11 |
| 292 | neg %r10 |
| 293 | lea (%rsp,%r10,8),%rsp # tp=alloca(8*(num+4)) |
| 294 | and \$-1024,%rsp # minimize TLB usage |
| 295 | |
| 296 | mov %r11,8(%rsp,$num,8) # tp[num+1]=%rsp |
| 297 | .Lmul4x_body: |
| 298 | mov $rp,16(%rsp,$num,8) # tp[num+2]=$rp |
| 299 | mov %rdx,%r12 # reassign $bp |
| 300 | ___ |
| 301 | $bp="%r12"; |
| 302 | $code.=<<___; |
| 303 | mov ($n0),$n0 # pull n0[0] value |
| 304 | mov ($bp),$m0 # m0=bp[0] |
| 305 | mov ($ap),%rax |
| 306 | |
| 307 | xor $i,$i # i=0 |
| 308 | xor $j,$j # j=0 |
| 309 | |
| 310 | mov $n0,$m1 |
| 311 | mulq $m0 # ap[0]*bp[0] |
| 312 | mov %rax,$A[0] |
| 313 | mov ($np),%rax |
| 314 | |
| 315 | imulq $A[0],$m1 # "tp[0]"*n0 |
| 316 | mov %rdx,$A[1] |
| 317 | |
| 318 | mulq $m1 # np[0]*m1 |
| 319 | add %rax,$A[0] # discarded |
| 320 | mov 8($ap),%rax |
| 321 | adc \$0,%rdx |
| 322 | mov %rdx,$N[1] |
| 323 | |
| 324 | mulq $m0 |
| 325 | add %rax,$A[1] |
| 326 | mov 8($np),%rax |
| 327 | adc \$0,%rdx |
| 328 | mov %rdx,$A[0] |
| 329 | |
| 330 | mulq $m1 |
| 331 | add %rax,$N[1] |
| 332 | mov 16($ap),%rax |
| 333 | adc \$0,%rdx |
| 334 | add $A[1],$N[1] |
| 335 | lea 4($j),$j # j++ |
| 336 | adc \$0,%rdx |
| 337 | mov $N[1],(%rsp) |
| 338 | mov %rdx,$N[0] |
| 339 | jmp .L1st4x |
| 340 | .align 16 |
| 341 | .L1st4x: |
| 342 | mulq $m0 # ap[j]*bp[0] |
| 343 | add %rax,$A[0] |
| 344 | mov -16($np,$j,8),%rax |
| 345 | adc \$0,%rdx |
| 346 | mov %rdx,$A[1] |
| 347 | |
| 348 | mulq $m1 # np[j]*m1 |
| 349 | add %rax,$N[0] |
| 350 | mov -8($ap,$j,8),%rax |
| 351 | adc \$0,%rdx |
| 352 | add $A[0],$N[0] # np[j]*m1+ap[j]*bp[0] |
| 353 | adc \$0,%rdx |
| 354 | mov $N[0],-24(%rsp,$j,8) # tp[j-1] |
| 355 | mov %rdx,$N[1] |
| 356 | |
| 357 | mulq $m0 # ap[j]*bp[0] |
| 358 | add %rax,$A[1] |
| 359 | mov -8($np,$j,8),%rax |
| 360 | adc \$0,%rdx |
| 361 | mov %rdx,$A[0] |
| 362 | |
| 363 | mulq $m1 # np[j]*m1 |
| 364 | add %rax,$N[1] |
| 365 | mov ($ap,$j,8),%rax |
| 366 | adc \$0,%rdx |
| 367 | add $A[1],$N[1] # np[j]*m1+ap[j]*bp[0] |
| 368 | adc \$0,%rdx |
| 369 | mov $N[1],-16(%rsp,$j,8) # tp[j-1] |
| 370 | mov %rdx,$N[0] |
| 371 | |
| 372 | mulq $m0 # ap[j]*bp[0] |
| 373 | add %rax,$A[0] |
| 374 | mov ($np,$j,8),%rax |
| 375 | adc \$0,%rdx |
| 376 | mov %rdx,$A[1] |
| 377 | |
| 378 | mulq $m1 # np[j]*m1 |
| 379 | add %rax,$N[0] |
| 380 | mov 8($ap,$j,8),%rax |
| 381 | adc \$0,%rdx |
| 382 | add $A[0],$N[0] # np[j]*m1+ap[j]*bp[0] |
| 383 | adc \$0,%rdx |
| 384 | mov $N[0],-8(%rsp,$j,8) # tp[j-1] |
| 385 | mov %rdx,$N[1] |
| 386 | |
| 387 | mulq $m0 # ap[j]*bp[0] |
| 388 | add %rax,$A[1] |
| 389 | mov 8($np,$j,8),%rax |
| 390 | adc \$0,%rdx |
| 391 | lea 4($j),$j # j++ |
| 392 | mov %rdx,$A[0] |
| 393 | |
| 394 | mulq $m1 # np[j]*m1 |
| 395 | add %rax,$N[1] |
| 396 | mov -16($ap,$j,8),%rax |
| 397 | adc \$0,%rdx |
| 398 | add $A[1],$N[1] # np[j]*m1+ap[j]*bp[0] |
| 399 | adc \$0,%rdx |
| 400 | mov $N[1],-32(%rsp,$j,8) # tp[j-1] |
| 401 | mov %rdx,$N[0] |
| 402 | cmp $num,$j |
| 403 | jl .L1st4x |
| 404 | |
| 405 | mulq $m0 # ap[j]*bp[0] |
| 406 | add %rax,$A[0] |
| 407 | mov -16($np,$j,8),%rax |
| 408 | adc \$0,%rdx |
| 409 | mov %rdx,$A[1] |
| 410 | |
| 411 | mulq $m1 # np[j]*m1 |
| 412 | add %rax,$N[0] |
| 413 | mov -8($ap,$j,8),%rax |
| 414 | adc \$0,%rdx |
| 415 | add $A[0],$N[0] # np[j]*m1+ap[j]*bp[0] |
| 416 | adc \$0,%rdx |
| 417 | mov $N[0],-24(%rsp,$j,8) # tp[j-1] |
| 418 | mov %rdx,$N[1] |
| 419 | |
| 420 | mulq $m0 # ap[j]*bp[0] |
| 421 | add %rax,$A[1] |
| 422 | mov -8($np,$j,8),%rax |
| 423 | adc \$0,%rdx |
| 424 | mov %rdx,$A[0] |
| 425 | |
| 426 | mulq $m1 # np[j]*m1 |
| 427 | add %rax,$N[1] |
| 428 | mov ($ap),%rax # ap[0] |
| 429 | adc \$0,%rdx |
| 430 | add $A[1],$N[1] # np[j]*m1+ap[j]*bp[0] |
| 431 | adc \$0,%rdx |
| 432 | mov $N[1],-16(%rsp,$j,8) # tp[j-1] |
| 433 | mov %rdx,$N[0] |
| 434 | |
| 435 | xor $N[1],$N[1] |
| 436 | add $A[0],$N[0] |
| 437 | adc \$0,$N[1] |
| 438 | mov $N[0],-8(%rsp,$j,8) |
| 439 | mov $N[1],(%rsp,$j,8) # store upmost overflow bit |
| 440 | |
| 441 | lea 1($i),$i # i++ |
| 442 | .align 4 |
| 443 | .Louter4x: |
| 444 | mov ($bp,$i,8),$m0 # m0=bp[i] |
| 445 | xor $j,$j # j=0 |
| 446 | mov (%rsp),$A[0] |
| 447 | mov $n0,$m1 |
| 448 | mulq $m0 # ap[0]*bp[i] |
| 449 | add %rax,$A[0] # ap[0]*bp[i]+tp[0] |
| 450 | mov ($np),%rax |
| 451 | adc \$0,%rdx |
| 452 | |
| 453 | imulq $A[0],$m1 # tp[0]*n0 |
| 454 | mov %rdx,$A[1] |
| 455 | |
| 456 | mulq $m1 # np[0]*m1 |
| 457 | add %rax,$A[0] # "$N[0]", discarded |
| 458 | mov 8($ap),%rax |
| 459 | adc \$0,%rdx |
| 460 | mov %rdx,$N[1] |
| 461 | |
| 462 | mulq $m0 # ap[j]*bp[i] |
| 463 | add %rax,$A[1] |
| 464 | mov 8($np),%rax |
| 465 | adc \$0,%rdx |
| 466 | add 8(%rsp),$A[1] # +tp[1] |
| 467 | adc \$0,%rdx |
| 468 | mov %rdx,$A[0] |
| 469 | |
| 470 | mulq $m1 # np[j]*m1 |
| 471 | add %rax,$N[1] |
| 472 | mov 16($ap),%rax |
| 473 | adc \$0,%rdx |
| 474 | add $A[1],$N[1] # np[j]*m1+ap[j]*bp[i]+tp[j] |
| 475 | lea 4($j),$j # j+=2 |
| 476 | adc \$0,%rdx |
| 477 | mov $N[1],(%rsp) # tp[j-1] |
| 478 | mov %rdx,$N[0] |
| 479 | jmp .Linner4x |
| 480 | .align 16 |
| 481 | .Linner4x: |
| 482 | mulq $m0 # ap[j]*bp[i] |
| 483 | add %rax,$A[0] |
| 484 | mov -16($np,$j,8),%rax |
| 485 | adc \$0,%rdx |
| 486 | add -16(%rsp,$j,8),$A[0] # ap[j]*bp[i]+tp[j] |
| 487 | adc \$0,%rdx |
| 488 | mov %rdx,$A[1] |
| 489 | |
| 490 | mulq $m1 # np[j]*m1 |
| 491 | add %rax,$N[0] |
| 492 | mov -8($ap,$j,8),%rax |
| 493 | adc \$0,%rdx |
| 494 | add $A[0],$N[0] |
| 495 | adc \$0,%rdx |
| 496 | mov $N[0],-24(%rsp,$j,8) # tp[j-1] |
| 497 | mov %rdx,$N[1] |
| 498 | |
| 499 | mulq $m0 # ap[j]*bp[i] |
| 500 | add %rax,$A[1] |
| 501 | mov -8($np,$j,8),%rax |
| 502 | adc \$0,%rdx |
| 503 | add -8(%rsp,$j,8),$A[1] |
| 504 | adc \$0,%rdx |
| 505 | mov %rdx,$A[0] |
| 506 | |
| 507 | mulq $m1 # np[j]*m1 |
| 508 | add %rax,$N[1] |
| 509 | mov ($ap,$j,8),%rax |
| 510 | adc \$0,%rdx |
| 511 | add $A[1],$N[1] |
| 512 | adc \$0,%rdx |
| 513 | mov $N[1],-16(%rsp,$j,8) # tp[j-1] |
| 514 | mov %rdx,$N[0] |
| 515 | |
| 516 | mulq $m0 # ap[j]*bp[i] |
| 517 | add %rax,$A[0] |
| 518 | mov ($np,$j,8),%rax |
| 519 | adc \$0,%rdx |
| 520 | add (%rsp,$j,8),$A[0] # ap[j]*bp[i]+tp[j] |
| 521 | adc \$0,%rdx |
| 522 | mov %rdx,$A[1] |
| 523 | |
| 524 | mulq $m1 # np[j]*m1 |
| 525 | add %rax,$N[0] |
| 526 | mov 8($ap,$j,8),%rax |
| 527 | adc \$0,%rdx |
| 528 | add $A[0],$N[0] |
| 529 | adc \$0,%rdx |
| 530 | mov $N[0],-8(%rsp,$j,8) # tp[j-1] |
| 531 | mov %rdx,$N[1] |
| 532 | |
| 533 | mulq $m0 # ap[j]*bp[i] |
| 534 | add %rax,$A[1] |
| 535 | mov 8($np,$j,8),%rax |
| 536 | adc \$0,%rdx |
| 537 | add 8(%rsp,$j,8),$A[1] |
| 538 | adc \$0,%rdx |
| 539 | lea 4($j),$j # j++ |
| 540 | mov %rdx,$A[0] |
| 541 | |
| 542 | mulq $m1 # np[j]*m1 |
| 543 | add %rax,$N[1] |
| 544 | mov -16($ap,$j,8),%rax |
| 545 | adc \$0,%rdx |
| 546 | add $A[1],$N[1] |
| 547 | adc \$0,%rdx |
| 548 | mov $N[1],-32(%rsp,$j,8) # tp[j-1] |
| 549 | mov %rdx,$N[0] |
| 550 | cmp $num,$j |
| 551 | jl .Linner4x |
| 552 | |
| 553 | mulq $m0 # ap[j]*bp[i] |
| 554 | add %rax,$A[0] |
| 555 | mov -16($np,$j,8),%rax |
| 556 | adc \$0,%rdx |
| 557 | add -16(%rsp,$j,8),$A[0] # ap[j]*bp[i]+tp[j] |
| 558 | adc \$0,%rdx |
| 559 | mov %rdx,$A[1] |
| 560 | |
| 561 | mulq $m1 # np[j]*m1 |
| 562 | add %rax,$N[0] |
| 563 | mov -8($ap,$j,8),%rax |
| 564 | adc \$0,%rdx |
| 565 | add $A[0],$N[0] |
| 566 | adc \$0,%rdx |
| 567 | mov $N[0],-24(%rsp,$j,8) # tp[j-1] |
| 568 | mov %rdx,$N[1] |
| 569 | |
| 570 | mulq $m0 # ap[j]*bp[i] |
| 571 | add %rax,$A[1] |
| 572 | mov -8($np,$j,8),%rax |
| 573 | adc \$0,%rdx |
| 574 | add -8(%rsp,$j,8),$A[1] |
| 575 | adc \$0,%rdx |
| 576 | lea 1($i),$i # i++ |
| 577 | mov %rdx,$A[0] |
| 578 | |
| 579 | mulq $m1 # np[j]*m1 |
| 580 | add %rax,$N[1] |
| 581 | mov ($ap),%rax # ap[0] |
| 582 | adc \$0,%rdx |
| 583 | add $A[1],$N[1] |
| 584 | adc \$0,%rdx |
| 585 | mov $N[1],-16(%rsp,$j,8) # tp[j-1] |
| 586 | mov %rdx,$N[0] |
| 587 | |
| 588 | xor $N[1],$N[1] |
| 589 | add $A[0],$N[0] |
| 590 | adc \$0,$N[1] |
| 591 | add (%rsp,$num,8),$N[0] # pull upmost overflow bit |
| 592 | adc \$0,$N[1] |
| 593 | mov $N[0],-8(%rsp,$j,8) |
| 594 | mov $N[1],(%rsp,$j,8) # store upmost overflow bit |
| 595 | |
| 596 | cmp $num,$i |
| 597 | jl .Louter4x |
| 598 | ___ |
| 599 | { |
| 600 | my @ri=("%rax","%rdx",$m0,$m1); |
| 601 | $code.=<<___; |
| 602 | mov 16(%rsp,$num,8),$rp # restore $rp |
| 603 | mov 0(%rsp),@ri[0] # tp[0] |
| 604 | pxor %xmm0,%xmm0 |
| 605 | mov 8(%rsp),@ri[1] # tp[1] |
| 606 | shr \$2,$num # num/=4 |
| 607 | lea (%rsp),$ap # borrow ap for tp |
| 608 | xor $i,$i # i=0 and clear CF! |
| 609 | |
| 610 | sub 0($np),@ri[0] |
| 611 | mov 16($ap),@ri[2] # tp[2] |
| 612 | mov 24($ap),@ri[3] # tp[3] |
| 613 | sbb 8($np),@ri[1] |
| 614 | lea -1($num),$j # j=num/4-1 |
| 615 | jmp .Lsub4x |
| 616 | .align 16 |
| 617 | .Lsub4x: |
| 618 | mov @ri[0],0($rp,$i,8) # rp[i]=tp[i]-np[i] |
| 619 | mov @ri[1],8($rp,$i,8) # rp[i]=tp[i]-np[i] |
| 620 | sbb 16($np,$i,8),@ri[2] |
| 621 | mov 32($ap,$i,8),@ri[0] # tp[i+1] |
| 622 | mov 40($ap,$i,8),@ri[1] |
| 623 | sbb 24($np,$i,8),@ri[3] |
| 624 | mov @ri[2],16($rp,$i,8) # rp[i]=tp[i]-np[i] |
| 625 | mov @ri[3],24($rp,$i,8) # rp[i]=tp[i]-np[i] |
| 626 | sbb 32($np,$i,8),@ri[0] |
| 627 | mov 48($ap,$i,8),@ri[2] |
| 628 | mov 56($ap,$i,8),@ri[3] |
| 629 | sbb 40($np,$i,8),@ri[1] |
| 630 | lea 4($i),$i # i++ |
| 631 | dec $j # doesnn't affect CF! |
| 632 | jnz .Lsub4x |
| 633 | |
| 634 | mov @ri[0],0($rp,$i,8) # rp[i]=tp[i]-np[i] |
| 635 | mov 32($ap,$i,8),@ri[0] # load overflow bit |
| 636 | sbb 16($np,$i,8),@ri[2] |
| 637 | mov @ri[1],8($rp,$i,8) # rp[i]=tp[i]-np[i] |
| 638 | sbb 24($np,$i,8),@ri[3] |
| 639 | mov @ri[2],16($rp,$i,8) # rp[i]=tp[i]-np[i] |
| 640 | |
| 641 | sbb \$0,@ri[0] # handle upmost overflow bit |
| 642 | mov @ri[3],24($rp,$i,8) # rp[i]=tp[i]-np[i] |
| 643 | xor $i,$i # i=0 |
| 644 | and @ri[0],$ap |
| 645 | not @ri[0] |
| 646 | mov $rp,$np |
| 647 | and @ri[0],$np |
| 648 | lea -1($num),$j |
| 649 | or $np,$ap # ap=borrow?tp:rp |
| 650 | |
| 651 | movdqu ($ap),%xmm1 |
| 652 | movdqa %xmm0,(%rsp) |
| 653 | movdqu %xmm1,($rp) |
| 654 | jmp .Lcopy4x |
| 655 | .align 16 |
| 656 | .Lcopy4x: # copy or in-place refresh |
| 657 | movdqu 16($ap,$i),%xmm2 |
| 658 | movdqu 32($ap,$i),%xmm1 |
| 659 | movdqa %xmm0,16(%rsp,$i) |
| 660 | movdqu %xmm2,16($rp,$i) |
| 661 | movdqa %xmm0,32(%rsp,$i) |
| 662 | movdqu %xmm1,32($rp,$i) |
| 663 | lea 32($i),$i |
| 664 | dec $j |
| 665 | jnz .Lcopy4x |
| 666 | |
| 667 | shl \$2,$num |
| 668 | movdqu 16($ap,$i),%xmm2 |
| 669 | movdqa %xmm0,16(%rsp,$i) |
| 670 | movdqu %xmm2,16($rp,$i) |
| 671 | ___ |
| 672 | } |
| 673 | $code.=<<___; |
| 674 | mov 8(%rsp,$num,8),%rsi # restore %rsp |
| 675 | mov \$1,%rax |
| 676 | mov (%rsi),%r15 |
| 677 | mov 8(%rsi),%r14 |
| 678 | mov 16(%rsi),%r13 |
| 679 | mov 24(%rsi),%r12 |
| 680 | mov 32(%rsi),%rbp |
| 681 | mov 40(%rsi),%rbx |
| 682 | lea 48(%rsi),%rsp |
| 683 | .Lmul4x_epilogue: |
| 684 | ret |
| 685 | .size bn_mul4x_mont,.-bn_mul4x_mont |
| 686 | ___ |
| 687 | }}} |
| 688 | {{{ |
| 689 | ###################################################################### |
| 690 | # void bn_sqr4x_mont( |
| 691 | my $rptr="%rdi"; # const BN_ULONG *rptr, |
| 692 | my $aptr="%rsi"; # const BN_ULONG *aptr, |
| 693 | my $bptr="%rdx"; # not used |
| 694 | my $nptr="%rcx"; # const BN_ULONG *nptr, |
| 695 | my $n0 ="%r8"; # const BN_ULONG *n0); |
| 696 | my $num ="%r9"; # int num, has to be divisible by 4 and |
| 697 | # not less than 8 |
| 698 | |
| 699 | my ($i,$j,$tptr)=("%rbp","%rcx",$rptr); |
| 700 | my @A0=("%r10","%r11"); |
| 701 | my @A1=("%r12","%r13"); |
| 702 | my ($a0,$a1,$ai)=("%r14","%r15","%rbx"); |
| 703 | |
| 704 | $code.=<<___; |
| 705 | .type bn_sqr4x_mont,\@function,6 |
| 706 | .align 16 |
| 707 | bn_sqr4x_mont: |
| 708 | .Lsqr4x_enter: |
| 709 | push %rbx |
| 710 | push %rbp |
| 711 | push %r12 |
| 712 | push %r13 |
| 713 | push %r14 |
| 714 | push %r15 |
| 715 | |
| 716 | shl \$3,${num}d # convert $num to bytes |
| 717 | xor %r10,%r10 |
| 718 | mov %rsp,%r11 # put aside %rsp |
| 719 | sub $num,%r10 # -$num |
| 720 | mov ($n0),$n0 # *n0 |
| 721 | lea -72(%rsp,%r10,2),%rsp # alloca(frame+2*$num) |
| 722 | and \$-1024,%rsp # minimize TLB usage |
| 723 | ############################################################## |
| 724 | # Stack layout |
| 725 | # |
| 726 | # +0 saved $num, used in reduction section |
| 727 | # +8 &t[2*$num], used in reduction section |
| 728 | # +32 saved $rptr |
| 729 | # +40 saved $nptr |
| 730 | # +48 saved *n0 |
| 731 | # +56 saved %rsp |
| 732 | # +64 t[2*$num] |
| 733 | # |
| 734 | mov $rptr,32(%rsp) # save $rptr |
| 735 | mov $nptr,40(%rsp) |
| 736 | mov $n0, 48(%rsp) |
| 737 | mov %r11, 56(%rsp) # save original %rsp |
| 738 | .Lsqr4x_body: |
| 739 | ############################################################## |
| 740 | # Squaring part: |
| 741 | # |
| 742 | # a) multiply-n-add everything but a[i]*a[i]; |
| 743 | # b) shift result of a) by 1 to the left and accumulate |
| 744 | # a[i]*a[i] products; |
| 745 | # |
| 746 | lea 32(%r10),$i # $i=-($num-32) |
| 747 | lea ($aptr,$num),$aptr # end of a[] buffer, ($aptr,$i)=&ap[2] |
| 748 | |
| 749 | mov $num,$j # $j=$num |
| 750 | |
| 751 | # comments apply to $num==8 case |
| 752 | mov -32($aptr,$i),$a0 # a[0] |
| 753 | lea 64(%rsp,$num,2),$tptr # end of tp[] buffer, &tp[2*$num] |
| 754 | mov -24($aptr,$i),%rax # a[1] |
| 755 | lea -32($tptr,$i),$tptr # end of tp[] window, &tp[2*$num-"$i"] |
| 756 | mov -16($aptr,$i),$ai # a[2] |
| 757 | mov %rax,$a1 |
| 758 | |
| 759 | mul $a0 # a[1]*a[0] |
| 760 | mov %rax,$A0[0] # a[1]*a[0] |
| 761 | mov $ai,%rax # a[2] |
| 762 | mov %rdx,$A0[1] |
| 763 | mov $A0[0],-24($tptr,$i) # t[1] |
| 764 | |
| 765 | xor $A0[0],$A0[0] |
| 766 | mul $a0 # a[2]*a[0] |
| 767 | add %rax,$A0[1] |
| 768 | mov $ai,%rax |
| 769 | adc %rdx,$A0[0] |
| 770 | mov $A0[1],-16($tptr,$i) # t[2] |
| 771 | |
| 772 | lea -16($i),$j # j=-16 |
| 773 | |
| 774 | |
| 775 | mov 8($aptr,$j),$ai # a[3] |
| 776 | mul $a1 # a[2]*a[1] |
| 777 | mov %rax,$A1[0] # a[2]*a[1]+t[3] |
| 778 | mov $ai,%rax |
| 779 | mov %rdx,$A1[1] |
| 780 | |
| 781 | xor $A0[1],$A0[1] |
| 782 | add $A1[0],$A0[0] |
| 783 | lea 16($j),$j |
| 784 | adc \$0,$A0[1] |
| 785 | mul $a0 # a[3]*a[0] |
| 786 | add %rax,$A0[0] # a[3]*a[0]+a[2]*a[1]+t[3] |
| 787 | mov $ai,%rax |
| 788 | adc %rdx,$A0[1] |
| 789 | mov $A0[0],-8($tptr,$j) # t[3] |
| 790 | jmp .Lsqr4x_1st |
| 791 | |
| 792 | .align 16 |
| 793 | .Lsqr4x_1st: |
| 794 | mov ($aptr,$j),$ai # a[4] |
| 795 | xor $A1[0],$A1[0] |
| 796 | mul $a1 # a[3]*a[1] |
| 797 | add %rax,$A1[1] # a[3]*a[1]+t[4] |
| 798 | mov $ai,%rax |
| 799 | adc %rdx,$A1[0] |
| 800 | |
| 801 | xor $A0[0],$A0[0] |
| 802 | add $A1[1],$A0[1] |
| 803 | adc \$0,$A0[0] |
| 804 | mul $a0 # a[4]*a[0] |
| 805 | add %rax,$A0[1] # a[4]*a[0]+a[3]*a[1]+t[4] |
| 806 | mov $ai,%rax # a[3] |
| 807 | adc %rdx,$A0[0] |
| 808 | mov $A0[1],($tptr,$j) # t[4] |
| 809 | |
| 810 | |
| 811 | mov 8($aptr,$j),$ai # a[5] |
| 812 | xor $A1[1],$A1[1] |
| 813 | mul $a1 # a[4]*a[3] |
| 814 | add %rax,$A1[0] # a[4]*a[3]+t[5] |
| 815 | mov $ai,%rax |
| 816 | adc %rdx,$A1[1] |
| 817 | |
| 818 | xor $A0[1],$A0[1] |
| 819 | add $A1[0],$A0[0] |
| 820 | adc \$0,$A0[1] |
| 821 | mul $a0 # a[5]*a[2] |
| 822 | add %rax,$A0[0] # a[5]*a[2]+a[4]*a[3]+t[5] |
| 823 | mov $ai,%rax |
| 824 | adc %rdx,$A0[1] |
| 825 | mov $A0[0],8($tptr,$j) # t[5] |
| 826 | |
| 827 | mov 16($aptr,$j),$ai # a[6] |
| 828 | xor $A1[0],$A1[0] |
| 829 | mul $a1 # a[5]*a[3] |
| 830 | add %rax,$A1[1] # a[5]*a[3]+t[6] |
| 831 | mov $ai,%rax |
| 832 | adc %rdx,$A1[0] |
| 833 | |
| 834 | xor $A0[0],$A0[0] |
| 835 | add $A1[1],$A0[1] |
| 836 | adc \$0,$A0[0] |
| 837 | mul $a0 # a[6]*a[2] |
| 838 | add %rax,$A0[1] # a[6]*a[2]+a[5]*a[3]+t[6] |
| 839 | mov $ai,%rax # a[3] |
| 840 | adc %rdx,$A0[0] |
| 841 | mov $A0[1],16($tptr,$j) # t[6] |
| 842 | |
| 843 | |
| 844 | mov 24($aptr,$j),$ai # a[7] |
| 845 | xor $A1[1],$A1[1] |
| 846 | mul $a1 # a[6]*a[5] |
| 847 | add %rax,$A1[0] # a[6]*a[5]+t[7] |
| 848 | mov $ai,%rax |
| 849 | adc %rdx,$A1[1] |
| 850 | |
| 851 | xor $A0[1],$A0[1] |
| 852 | add $A1[0],$A0[0] |
| 853 | lea 32($j),$j |
| 854 | adc \$0,$A0[1] |
| 855 | mul $a0 # a[7]*a[4] |
| 856 | add %rax,$A0[0] # a[7]*a[4]+a[6]*a[5]+t[6] |
| 857 | mov $ai,%rax |
| 858 | adc %rdx,$A0[1] |
| 859 | mov $A0[0],-8($tptr,$j) # t[7] |
| 860 | |
| 861 | cmp \$0,$j |
| 862 | jne .Lsqr4x_1st |
| 863 | |
| 864 | xor $A1[0],$A1[0] |
| 865 | add $A0[1],$A1[1] |
| 866 | adc \$0,$A1[0] |
| 867 | mul $a1 # a[7]*a[5] |
| 868 | add %rax,$A1[1] |
| 869 | adc %rdx,$A1[0] |
| 870 | |
| 871 | mov $A1[1],($tptr) # t[8] |
| 872 | lea 16($i),$i |
| 873 | mov $A1[0],8($tptr) # t[9] |
| 874 | jmp .Lsqr4x_outer |
| 875 | |
| 876 | .align 16 |
| 877 | .Lsqr4x_outer: # comments apply to $num==6 case |
| 878 | mov -32($aptr,$i),$a0 # a[0] |
| 879 | lea 64(%rsp,$num,2),$tptr # end of tp[] buffer, &tp[2*$num] |
| 880 | mov -24($aptr,$i),%rax # a[1] |
| 881 | lea -32($tptr,$i),$tptr # end of tp[] window, &tp[2*$num-"$i"] |
| 882 | mov -16($aptr,$i),$ai # a[2] |
| 883 | mov %rax,$a1 |
| 884 | |
| 885 | mov -24($tptr,$i),$A0[0] # t[1] |
| 886 | xor $A0[1],$A0[1] |
| 887 | mul $a0 # a[1]*a[0] |
| 888 | add %rax,$A0[0] # a[1]*a[0]+t[1] |
| 889 | mov $ai,%rax # a[2] |
| 890 | adc %rdx,$A0[1] |
| 891 | mov $A0[0],-24($tptr,$i) # t[1] |
| 892 | |
| 893 | xor $A0[0],$A0[0] |
| 894 | add -16($tptr,$i),$A0[1] # a[2]*a[0]+t[2] |
| 895 | adc \$0,$A0[0] |
| 896 | mul $a0 # a[2]*a[0] |
| 897 | add %rax,$A0[1] |
| 898 | mov $ai,%rax |
| 899 | adc %rdx,$A0[0] |
| 900 | mov $A0[1],-16($tptr,$i) # t[2] |
| 901 | |
| 902 | lea -16($i),$j # j=-16 |
| 903 | xor $A1[0],$A1[0] |
| 904 | |
| 905 | |
| 906 | mov 8($aptr,$j),$ai # a[3] |
| 907 | xor $A1[1],$A1[1] |
| 908 | add 8($tptr,$j),$A1[0] |
| 909 | adc \$0,$A1[1] |
| 910 | mul $a1 # a[2]*a[1] |
| 911 | add %rax,$A1[0] # a[2]*a[1]+t[3] |
| 912 | mov $ai,%rax |
| 913 | adc %rdx,$A1[1] |
| 914 | |
| 915 | xor $A0[1],$A0[1] |
| 916 | add $A1[0],$A0[0] |
| 917 | adc \$0,$A0[1] |
| 918 | mul $a0 # a[3]*a[0] |
| 919 | add %rax,$A0[0] # a[3]*a[0]+a[2]*a[1]+t[3] |
| 920 | mov $ai,%rax |
| 921 | adc %rdx,$A0[1] |
| 922 | mov $A0[0],8($tptr,$j) # t[3] |
| 923 | |
| 924 | lea 16($j),$j |
| 925 | jmp .Lsqr4x_inner |
| 926 | |
| 927 | .align 16 |
| 928 | .Lsqr4x_inner: |
| 929 | mov ($aptr,$j),$ai # a[4] |
| 930 | xor $A1[0],$A1[0] |
| 931 | add ($tptr,$j),$A1[1] |
| 932 | adc \$0,$A1[0] |
| 933 | mul $a1 # a[3]*a[1] |
| 934 | add %rax,$A1[1] # a[3]*a[1]+t[4] |
| 935 | mov $ai,%rax |
| 936 | adc %rdx,$A1[0] |
| 937 | |
| 938 | xor $A0[0],$A0[0] |
| 939 | add $A1[1],$A0[1] |
| 940 | adc \$0,$A0[0] |
| 941 | mul $a0 # a[4]*a[0] |
| 942 | add %rax,$A0[1] # a[4]*a[0]+a[3]*a[1]+t[4] |
| 943 | mov $ai,%rax # a[3] |
| 944 | adc %rdx,$A0[0] |
| 945 | mov $A0[1],($tptr,$j) # t[4] |
| 946 | |
| 947 | mov 8($aptr,$j),$ai # a[5] |
| 948 | xor $A1[1],$A1[1] |
| 949 | add 8($tptr,$j),$A1[0] |
| 950 | adc \$0,$A1[1] |
| 951 | mul $a1 # a[4]*a[3] |
| 952 | add %rax,$A1[0] # a[4]*a[3]+t[5] |
| 953 | mov $ai,%rax |
| 954 | adc %rdx,$A1[1] |
| 955 | |
| 956 | xor $A0[1],$A0[1] |
| 957 | add $A1[0],$A0[0] |
| 958 | lea 16($j),$j # j++ |
| 959 | adc \$0,$A0[1] |
| 960 | mul $a0 # a[5]*a[2] |
| 961 | add %rax,$A0[0] # a[5]*a[2]+a[4]*a[3]+t[5] |
| 962 | mov $ai,%rax |
| 963 | adc %rdx,$A0[1] |
| 964 | mov $A0[0],-8($tptr,$j) # t[5], "preloaded t[1]" below |
| 965 | |
| 966 | cmp \$0,$j |
| 967 | jne .Lsqr4x_inner |
| 968 | |
| 969 | xor $A1[0],$A1[0] |
| 970 | add $A0[1],$A1[1] |
| 971 | adc \$0,$A1[0] |
| 972 | mul $a1 # a[5]*a[3] |
| 973 | add %rax,$A1[1] |
| 974 | adc %rdx,$A1[0] |
| 975 | |
| 976 | mov $A1[1],($tptr) # t[6], "preloaded t[2]" below |
| 977 | mov $A1[0],8($tptr) # t[7], "preloaded t[3]" below |
| 978 | |
| 979 | add \$16,$i |
| 980 | jnz .Lsqr4x_outer |
| 981 | |
| 982 | # comments apply to $num==4 case |
| 983 | mov -32($aptr),$a0 # a[0] |
| 984 | lea 64(%rsp,$num,2),$tptr # end of tp[] buffer, &tp[2*$num] |
| 985 | mov -24($aptr),%rax # a[1] |
| 986 | lea -32($tptr,$i),$tptr # end of tp[] window, &tp[2*$num-"$i"] |
| 987 | mov -16($aptr),$ai # a[2] |
| 988 | mov %rax,$a1 |
| 989 | |
| 990 | xor $A0[1],$A0[1] |
| 991 | mul $a0 # a[1]*a[0] |
| 992 | add %rax,$A0[0] # a[1]*a[0]+t[1], preloaded t[1] |
| 993 | mov $ai,%rax # a[2] |
| 994 | adc %rdx,$A0[1] |
| 995 | mov $A0[0],-24($tptr) # t[1] |
| 996 | |
| 997 | xor $A0[0],$A0[0] |
| 998 | add $A1[1],$A0[1] # a[2]*a[0]+t[2], preloaded t[2] |
| 999 | adc \$0,$A0[0] |
| 1000 | mul $a0 # a[2]*a[0] |
| 1001 | add %rax,$A0[1] |
| 1002 | mov $ai,%rax |
| 1003 | adc %rdx,$A0[0] |
| 1004 | mov $A0[1],-16($tptr) # t[2] |
| 1005 | |
| 1006 | mov -8($aptr),$ai # a[3] |
| 1007 | mul $a1 # a[2]*a[1] |
| 1008 | add %rax,$A1[0] # a[2]*a[1]+t[3], preloaded t[3] |
| 1009 | mov $ai,%rax |
| 1010 | adc \$0,%rdx |
| 1011 | |
| 1012 | xor $A0[1],$A0[1] |
| 1013 | add $A1[0],$A0[0] |
| 1014 | mov %rdx,$A1[1] |
| 1015 | adc \$0,$A0[1] |
| 1016 | mul $a0 # a[3]*a[0] |
| 1017 | add %rax,$A0[0] # a[3]*a[0]+a[2]*a[1]+t[3] |
| 1018 | mov $ai,%rax |
| 1019 | adc %rdx,$A0[1] |
| 1020 | mov $A0[0],-8($tptr) # t[3] |
| 1021 | |
| 1022 | xor $A1[0],$A1[0] |
| 1023 | add $A0[1],$A1[1] |
| 1024 | adc \$0,$A1[0] |
| 1025 | mul $a1 # a[3]*a[1] |
| 1026 | add %rax,$A1[1] |
| 1027 | mov -16($aptr),%rax # a[2] |
| 1028 | adc %rdx,$A1[0] |
| 1029 | |
| 1030 | mov $A1[1],($tptr) # t[4] |
| 1031 | mov $A1[0],8($tptr) # t[5] |
| 1032 | |
| 1033 | mul $ai # a[2]*a[3] |
| 1034 | ___ |
| 1035 | { |
| 1036 | my ($shift,$carry)=($a0,$a1); |
| 1037 | my @S=(@A1,$ai,$n0); |
| 1038 | $code.=<<___; |
| 1039 | add \$16,$i |
| 1040 | xor $shift,$shift |
| 1041 | sub $num,$i # $i=16-$num |
| 1042 | xor $carry,$carry |
| 1043 | |
| 1044 | add $A1[0],%rax # t[5] |
| 1045 | adc \$0,%rdx |
| 1046 | mov %rax,8($tptr) # t[5] |
| 1047 | mov %rdx,16($tptr) # t[6] |
| 1048 | mov $carry,24($tptr) # t[7] |
| 1049 | |
| 1050 | mov -16($aptr,$i),%rax # a[0] |
| 1051 | lea 64(%rsp,$num,2),$tptr |
| 1052 | xor $A0[0],$A0[0] # t[0] |
| 1053 | mov -24($tptr,$i,2),$A0[1] # t[1] |
| 1054 | |
| 1055 | lea ($shift,$A0[0],2),$S[0] # t[2*i]<<1 | shift |
| 1056 | shr \$63,$A0[0] |
| 1057 | lea ($j,$A0[1],2),$S[1] # t[2*i+1]<<1 | |
| 1058 | shr \$63,$A0[1] |
| 1059 | or $A0[0],$S[1] # | t[2*i]>>63 |
| 1060 | mov -16($tptr,$i,2),$A0[0] # t[2*i+2] # prefetch |
| 1061 | mov $A0[1],$shift # shift=t[2*i+1]>>63 |
| 1062 | mul %rax # a[i]*a[i] |
| 1063 | neg $carry # mov $carry,cf |
| 1064 | mov -8($tptr,$i,2),$A0[1] # t[2*i+2+1] # prefetch |
| 1065 | adc %rax,$S[0] |
| 1066 | mov -8($aptr,$i),%rax # a[i+1] # prefetch |
| 1067 | mov $S[0],-32($tptr,$i,2) |
| 1068 | adc %rdx,$S[1] |
| 1069 | |
| 1070 | lea ($shift,$A0[0],2),$S[2] # t[2*i]<<1 | shift |
| 1071 | mov $S[1],-24($tptr,$i,2) |
| 1072 | sbb $carry,$carry # mov cf,$carry |
| 1073 | shr \$63,$A0[0] |
| 1074 | lea ($j,$A0[1],2),$S[3] # t[2*i+1]<<1 | |
| 1075 | shr \$63,$A0[1] |
| 1076 | or $A0[0],$S[3] # | t[2*i]>>63 |
| 1077 | mov 0($tptr,$i,2),$A0[0] # t[2*i+2] # prefetch |
| 1078 | mov $A0[1],$shift # shift=t[2*i+1]>>63 |
| 1079 | mul %rax # a[i]*a[i] |
| 1080 | neg $carry # mov $carry,cf |
| 1081 | mov 8($tptr,$i,2),$A0[1] # t[2*i+2+1] # prefetch |
| 1082 | adc %rax,$S[2] |
| 1083 | mov 0($aptr,$i),%rax # a[i+1] # prefetch |
| 1084 | mov $S[2],-16($tptr,$i,2) |
| 1085 | adc %rdx,$S[3] |
| 1086 | lea 16($i),$i |
| 1087 | mov $S[3],-40($tptr,$i,2) |
| 1088 | sbb $carry,$carry # mov cf,$carry |
| 1089 | jmp .Lsqr4x_shift_n_add |
| 1090 | |
| 1091 | .align 16 |
| 1092 | .Lsqr4x_shift_n_add: |
| 1093 | lea ($shift,$A0[0],2),$S[0] # t[2*i]<<1 | shift |
| 1094 | shr \$63,$A0[0] |
| 1095 | lea ($j,$A0[1],2),$S[1] # t[2*i+1]<<1 | |
| 1096 | shr \$63,$A0[1] |
| 1097 | or $A0[0],$S[1] # | t[2*i]>>63 |
| 1098 | mov -16($tptr,$i,2),$A0[0] # t[2*i+2] # prefetch |
| 1099 | mov $A0[1],$shift # shift=t[2*i+1]>>63 |
| 1100 | mul %rax # a[i]*a[i] |
| 1101 | neg $carry # mov $carry,cf |
| 1102 | mov -8($tptr,$i,2),$A0[1] # t[2*i+2+1] # prefetch |
| 1103 | adc %rax,$S[0] |
| 1104 | mov -8($aptr,$i),%rax # a[i+1] # prefetch |
| 1105 | mov $S[0],-32($tptr,$i,2) |
| 1106 | adc %rdx,$S[1] |
| 1107 | |
| 1108 | lea ($shift,$A0[0],2),$S[2] # t[2*i]<<1 | shift |
| 1109 | mov $S[1],-24($tptr,$i,2) |
| 1110 | sbb $carry,$carry # mov cf,$carry |
| 1111 | shr \$63,$A0[0] |
| 1112 | lea ($j,$A0[1],2),$S[3] # t[2*i+1]<<1 | |
| 1113 | shr \$63,$A0[1] |
| 1114 | or $A0[0],$S[3] # | t[2*i]>>63 |
| 1115 | mov 0($tptr,$i,2),$A0[0] # t[2*i+2] # prefetch |
| 1116 | mov $A0[1],$shift # shift=t[2*i+1]>>63 |
| 1117 | mul %rax # a[i]*a[i] |
| 1118 | neg $carry # mov $carry,cf |
| 1119 | mov 8($tptr,$i,2),$A0[1] # t[2*i+2+1] # prefetch |
| 1120 | adc %rax,$S[2] |
| 1121 | mov 0($aptr,$i),%rax # a[i+1] # prefetch |
| 1122 | mov $S[2],-16($tptr,$i,2) |
| 1123 | adc %rdx,$S[3] |
| 1124 | |
| 1125 | lea ($shift,$A0[0],2),$S[0] # t[2*i]<<1 | shift |
| 1126 | mov $S[3],-8($tptr,$i,2) |
| 1127 | sbb $carry,$carry # mov cf,$carry |
| 1128 | shr \$63,$A0[0] |
| 1129 | lea ($j,$A0[1],2),$S[1] # t[2*i+1]<<1 | |
| 1130 | shr \$63,$A0[1] |
| 1131 | or $A0[0],$S[1] # | t[2*i]>>63 |
| 1132 | mov 16($tptr,$i,2),$A0[0] # t[2*i+2] # prefetch |
| 1133 | mov $A0[1],$shift # shift=t[2*i+1]>>63 |
| 1134 | mul %rax # a[i]*a[i] |
| 1135 | neg $carry # mov $carry,cf |
| 1136 | mov 24($tptr,$i,2),$A0[1] # t[2*i+2+1] # prefetch |
| 1137 | adc %rax,$S[0] |
| 1138 | mov 8($aptr,$i),%rax # a[i+1] # prefetch |
| 1139 | mov $S[0],0($tptr,$i,2) |
| 1140 | adc %rdx,$S[1] |
| 1141 | |
| 1142 | lea ($shift,$A0[0],2),$S[2] # t[2*i]<<1 | shift |
| 1143 | mov $S[1],8($tptr,$i,2) |
| 1144 | sbb $carry,$carry # mov cf,$carry |
| 1145 | shr \$63,$A0[0] |
| 1146 | lea ($j,$A0[1],2),$S[3] # t[2*i+1]<<1 | |
| 1147 | shr \$63,$A0[1] |
| 1148 | or $A0[0],$S[3] # | t[2*i]>>63 |
| 1149 | mov 32($tptr,$i,2),$A0[0] # t[2*i+2] # prefetch |
| 1150 | mov $A0[1],$shift # shift=t[2*i+1]>>63 |
| 1151 | mul %rax # a[i]*a[i] |
| 1152 | neg $carry # mov $carry,cf |
| 1153 | mov 40($tptr,$i,2),$A0[1] # t[2*i+2+1] # prefetch |
| 1154 | adc %rax,$S[2] |
| 1155 | mov 16($aptr,$i),%rax # a[i+1] # prefetch |
| 1156 | mov $S[2],16($tptr,$i,2) |
| 1157 | adc %rdx,$S[3] |
| 1158 | mov $S[3],24($tptr,$i,2) |
| 1159 | sbb $carry,$carry # mov cf,$carry |
| 1160 | add \$32,$i |
| 1161 | jnz .Lsqr4x_shift_n_add |
| 1162 | |
| 1163 | lea ($shift,$A0[0],2),$S[0] # t[2*i]<<1 | shift |
| 1164 | shr \$63,$A0[0] |
| 1165 | lea ($j,$A0[1],2),$S[1] # t[2*i+1]<<1 | |
| 1166 | shr \$63,$A0[1] |
| 1167 | or $A0[0],$S[1] # | t[2*i]>>63 |
| 1168 | mov -16($tptr),$A0[0] # t[2*i+2] # prefetch |
| 1169 | mov $A0[1],$shift # shift=t[2*i+1]>>63 |
| 1170 | mul %rax # a[i]*a[i] |
| 1171 | neg $carry # mov $carry,cf |
| 1172 | mov -8($tptr),$A0[1] # t[2*i+2+1] # prefetch |
| 1173 | adc %rax,$S[0] |
| 1174 | mov -8($aptr),%rax # a[i+1] # prefetch |
| 1175 | mov $S[0],-32($tptr) |
| 1176 | adc %rdx,$S[1] |
| 1177 | |
| 1178 | lea ($shift,$A0[0],2),$S[2] # t[2*i]<<1|shift |
| 1179 | mov $S[1],-24($tptr) |
| 1180 | sbb $carry,$carry # mov cf,$carry |
| 1181 | shr \$63,$A0[0] |
| 1182 | lea ($j,$A0[1],2),$S[3] # t[2*i+1]<<1 | |
| 1183 | shr \$63,$A0[1] |
| 1184 | or $A0[0],$S[3] # | t[2*i]>>63 |
| 1185 | mul %rax # a[i]*a[i] |
| 1186 | neg $carry # mov $carry,cf |
| 1187 | adc %rax,$S[2] |
| 1188 | adc %rdx,$S[3] |
| 1189 | mov $S[2],-16($tptr) |
| 1190 | mov $S[3],-8($tptr) |
| 1191 | ___ |
| 1192 | } |
| 1193 | ############################################################## |
| 1194 | # Montgomery reduction part, "word-by-word" algorithm. |
| 1195 | # |
| 1196 | { |
| 1197 | my ($topbit,$nptr)=("%rbp",$aptr); |
| 1198 | my ($m0,$m1)=($a0,$a1); |
| 1199 | my @Ni=("%rbx","%r9"); |
| 1200 | $code.=<<___; |
| 1201 | mov 40(%rsp),$nptr # restore $nptr |
| 1202 | mov 48(%rsp),$n0 # restore *n0 |
| 1203 | xor $j,$j |
| 1204 | mov $num,0(%rsp) # save $num |
| 1205 | sub $num,$j # $j=-$num |
| 1206 | mov 64(%rsp),$A0[0] # t[0] # modsched # |
| 1207 | mov $n0,$m0 # # modsched # |
| 1208 | lea 64(%rsp,$num,2),%rax # end of t[] buffer |
| 1209 | lea 64(%rsp,$num),$tptr # end of t[] window |
| 1210 | mov %rax,8(%rsp) # save end of t[] buffer |
| 1211 | lea ($nptr,$num),$nptr # end of n[] buffer |
| 1212 | xor $topbit,$topbit # $topbit=0 |
| 1213 | |
| 1214 | mov 0($nptr,$j),%rax # n[0] # modsched # |
| 1215 | mov 8($nptr,$j),$Ni[1] # n[1] # modsched # |
| 1216 | imulq $A0[0],$m0 # m0=t[0]*n0 # modsched # |
| 1217 | mov %rax,$Ni[0] # # modsched # |
| 1218 | jmp .Lsqr4x_mont_outer |
| 1219 | |
| 1220 | .align 16 |
| 1221 | .Lsqr4x_mont_outer: |
| 1222 | xor $A0[1],$A0[1] |
| 1223 | mul $m0 # n[0]*m0 |
| 1224 | add %rax,$A0[0] # n[0]*m0+t[0] |
| 1225 | mov $Ni[1],%rax |
| 1226 | adc %rdx,$A0[1] |
| 1227 | mov $n0,$m1 |
| 1228 | |
| 1229 | xor $A0[0],$A0[0] |
| 1230 | add 8($tptr,$j),$A0[1] |
| 1231 | adc \$0,$A0[0] |
| 1232 | mul $m0 # n[1]*m0 |
| 1233 | add %rax,$A0[1] # n[1]*m0+t[1] |
| 1234 | mov $Ni[0],%rax |
| 1235 | adc %rdx,$A0[0] |
| 1236 | |
| 1237 | imulq $A0[1],$m1 |
| 1238 | |
| 1239 | mov 16($nptr,$j),$Ni[0] # n[2] |
| 1240 | xor $A1[1],$A1[1] |
| 1241 | add $A0[1],$A1[0] |
| 1242 | adc \$0,$A1[1] |
| 1243 | mul $m1 # n[0]*m1 |
| 1244 | add %rax,$A1[0] # n[0]*m1+"t[1]" |
| 1245 | mov $Ni[0],%rax |
| 1246 | adc %rdx,$A1[1] |
| 1247 | mov $A1[0],8($tptr,$j) # "t[1]" |
| 1248 | |
| 1249 | xor $A0[1],$A0[1] |
| 1250 | add 16($tptr,$j),$A0[0] |
| 1251 | adc \$0,$A0[1] |
| 1252 | mul $m0 # n[2]*m0 |
| 1253 | add %rax,$A0[0] # n[2]*m0+t[2] |
| 1254 | mov $Ni[1],%rax |
| 1255 | adc %rdx,$A0[1] |
| 1256 | |
| 1257 | mov 24($nptr,$j),$Ni[1] # n[3] |
| 1258 | xor $A1[0],$A1[0] |
| 1259 | add $A0[0],$A1[1] |
| 1260 | adc \$0,$A1[0] |
| 1261 | mul $m1 # n[1]*m1 |
| 1262 | add %rax,$A1[1] # n[1]*m1+"t[2]" |
| 1263 | mov $Ni[1],%rax |
| 1264 | adc %rdx,$A1[0] |
| 1265 | mov $A1[1],16($tptr,$j) # "t[2]" |
| 1266 | |
| 1267 | xor $A0[0],$A0[0] |
| 1268 | add 24($tptr,$j),$A0[1] |
| 1269 | lea 32($j),$j |
| 1270 | adc \$0,$A0[0] |
| 1271 | mul $m0 # n[3]*m0 |
| 1272 | add %rax,$A0[1] # n[3]*m0+t[3] |
| 1273 | mov $Ni[0],%rax |
| 1274 | adc %rdx,$A0[0] |
| 1275 | jmp .Lsqr4x_mont_inner |
| 1276 | |
| 1277 | .align 16 |
| 1278 | .Lsqr4x_mont_inner: |
| 1279 | mov ($nptr,$j),$Ni[0] # n[4] |
| 1280 | xor $A1[1],$A1[1] |
| 1281 | add $A0[1],$A1[0] |
| 1282 | adc \$0,$A1[1] |
| 1283 | mul $m1 # n[2]*m1 |
| 1284 | add %rax,$A1[0] # n[2]*m1+"t[3]" |
| 1285 | mov $Ni[0],%rax |
| 1286 | adc %rdx,$A1[1] |
| 1287 | mov $A1[0],-8($tptr,$j) # "t[3]" |
| 1288 | |
| 1289 | xor $A0[1],$A0[1] |
| 1290 | add ($tptr,$j),$A0[0] |
| 1291 | adc \$0,$A0[1] |
| 1292 | mul $m0 # n[4]*m0 |
| 1293 | add %rax,$A0[0] # n[4]*m0+t[4] |
| 1294 | mov $Ni[1],%rax |
| 1295 | adc %rdx,$A0[1] |
| 1296 | |
| 1297 | mov 8($nptr,$j),$Ni[1] # n[5] |
| 1298 | xor $A1[0],$A1[0] |
| 1299 | add $A0[0],$A1[1] |
| 1300 | adc \$0,$A1[0] |
| 1301 | mul $m1 # n[3]*m1 |
| 1302 | add %rax,$A1[1] # n[3]*m1+"t[4]" |
| 1303 | mov $Ni[1],%rax |
| 1304 | adc %rdx,$A1[0] |
| 1305 | mov $A1[1],($tptr,$j) # "t[4]" |
| 1306 | |
| 1307 | xor $A0[0],$A0[0] |
| 1308 | add 8($tptr,$j),$A0[1] |
| 1309 | adc \$0,$A0[0] |
| 1310 | mul $m0 # n[5]*m0 |
| 1311 | add %rax,$A0[1] # n[5]*m0+t[5] |
| 1312 | mov $Ni[0],%rax |
| 1313 | adc %rdx,$A0[0] |
| 1314 | |
| 1315 | |
| 1316 | mov 16($nptr,$j),$Ni[0] # n[6] |
| 1317 | xor $A1[1],$A1[1] |
| 1318 | add $A0[1],$A1[0] |
| 1319 | adc \$0,$A1[1] |
| 1320 | mul $m1 # n[4]*m1 |
| 1321 | add %rax,$A1[0] # n[4]*m1+"t[5]" |
| 1322 | mov $Ni[0],%rax |
| 1323 | adc %rdx,$A1[1] |
| 1324 | mov $A1[0],8($tptr,$j) # "t[5]" |
| 1325 | |
| 1326 | xor $A0[1],$A0[1] |
| 1327 | add 16($tptr,$j),$A0[0] |
| 1328 | adc \$0,$A0[1] |
| 1329 | mul $m0 # n[6]*m0 |
| 1330 | add %rax,$A0[0] # n[6]*m0+t[6] |
| 1331 | mov $Ni[1],%rax |
| 1332 | adc %rdx,$A0[1] |
| 1333 | |
| 1334 | mov 24($nptr,$j),$Ni[1] # n[7] |
| 1335 | xor $A1[0],$A1[0] |
| 1336 | add $A0[0],$A1[1] |
| 1337 | adc \$0,$A1[0] |
| 1338 | mul $m1 # n[5]*m1 |
| 1339 | add %rax,$A1[1] # n[5]*m1+"t[6]" |
| 1340 | mov $Ni[1],%rax |
| 1341 | adc %rdx,$A1[0] |
| 1342 | mov $A1[1],16($tptr,$j) # "t[6]" |
| 1343 | |
| 1344 | xor $A0[0],$A0[0] |
| 1345 | add 24($tptr,$j),$A0[1] |
| 1346 | lea 32($j),$j |
| 1347 | adc \$0,$A0[0] |
| 1348 | mul $m0 # n[7]*m0 |
| 1349 | add %rax,$A0[1] # n[7]*m0+t[7] |
| 1350 | mov $Ni[0],%rax |
| 1351 | adc %rdx,$A0[0] |
| 1352 | cmp \$0,$j |
| 1353 | jne .Lsqr4x_mont_inner |
| 1354 | |
| 1355 | sub 0(%rsp),$j # $j=-$num # modsched # |
| 1356 | mov $n0,$m0 # # modsched # |
| 1357 | |
| 1358 | xor $A1[1],$A1[1] |
| 1359 | add $A0[1],$A1[0] |
| 1360 | adc \$0,$A1[1] |
| 1361 | mul $m1 # n[6]*m1 |
| 1362 | add %rax,$A1[0] # n[6]*m1+"t[7]" |
| 1363 | mov $Ni[1],%rax |
| 1364 | adc %rdx,$A1[1] |
| 1365 | mov $A1[0],-8($tptr) # "t[7]" |
| 1366 | |
| 1367 | xor $A0[1],$A0[1] |
| 1368 | add ($tptr),$A0[0] # +t[8] |
| 1369 | adc \$0,$A0[1] |
| 1370 | mov 0($nptr,$j),$Ni[0] # n[0] # modsched # |
| 1371 | add $topbit,$A0[0] |
| 1372 | adc \$0,$A0[1] |
| 1373 | |
| 1374 | imulq 16($tptr,$j),$m0 # m0=t[0]*n0 # modsched # |
| 1375 | xor $A1[0],$A1[0] |
| 1376 | mov 8($nptr,$j),$Ni[1] # n[1] # modsched # |
| 1377 | add $A0[0],$A1[1] |
| 1378 | mov 16($tptr,$j),$A0[0] # t[0] # modsched # |
| 1379 | adc \$0,$A1[0] |
| 1380 | mul $m1 # n[7]*m1 |
| 1381 | add %rax,$A1[1] # n[7]*m1+"t[8]" |
| 1382 | mov $Ni[0],%rax # # modsched # |
| 1383 | adc %rdx,$A1[0] |
| 1384 | mov $A1[1],($tptr) # "t[8]" |
| 1385 | |
| 1386 | xor $topbit,$topbit |
| 1387 | add 8($tptr),$A1[0] # +t[9] |
| 1388 | adc $topbit,$topbit |
| 1389 | add $A0[1],$A1[0] |
| 1390 | lea 16($tptr),$tptr # "t[$num]>>128" |
| 1391 | adc \$0,$topbit |
| 1392 | mov $A1[0],-8($tptr) # "t[9]" |
| 1393 | cmp 8(%rsp),$tptr # are we done? |
| 1394 | jb .Lsqr4x_mont_outer |
| 1395 | |
| 1396 | mov 0(%rsp),$num # restore $num |
| 1397 | mov $topbit,($tptr) # save $topbit |
| 1398 | ___ |
| 1399 | } |
| 1400 | ############################################################## |
| 1401 | # Post-condition, 4x unrolled copy from bn_mul_mont |
| 1402 | # |
| 1403 | { |
| 1404 | my ($tptr,$nptr)=("%rbx",$aptr); |
| 1405 | my @ri=("%rax","%rdx","%r10","%r11"); |
| 1406 | $code.=<<___; |
| 1407 | mov 64(%rsp,$num),@ri[0] # tp[0] |
| 1408 | lea 64(%rsp,$num),$tptr # upper half of t[2*$num] holds result |
| 1409 | mov 40(%rsp),$nptr # restore $nptr |
| 1410 | shr \$5,$num # num/4 |
| 1411 | mov 8($tptr),@ri[1] # t[1] |
| 1412 | xor $i,$i # i=0 and clear CF! |
| 1413 | |
| 1414 | mov 32(%rsp),$rptr # restore $rptr |
| 1415 | sub 0($nptr),@ri[0] |
| 1416 | mov 16($tptr),@ri[2] # t[2] |
| 1417 | mov 24($tptr),@ri[3] # t[3] |
| 1418 | sbb 8($nptr),@ri[1] |
| 1419 | lea -1($num),$j # j=num/4-1 |
| 1420 | jmp .Lsqr4x_sub |
| 1421 | .align 16 |
| 1422 | .Lsqr4x_sub: |
| 1423 | mov @ri[0],0($rptr,$i,8) # rp[i]=tp[i]-np[i] |
| 1424 | mov @ri[1],8($rptr,$i,8) # rp[i]=tp[i]-np[i] |
| 1425 | sbb 16($nptr,$i,8),@ri[2] |
| 1426 | mov 32($tptr,$i,8),@ri[0] # tp[i+1] |
| 1427 | mov 40($tptr,$i,8),@ri[1] |
| 1428 | sbb 24($nptr,$i,8),@ri[3] |
| 1429 | mov @ri[2],16($rptr,$i,8) # rp[i]=tp[i]-np[i] |
| 1430 | mov @ri[3],24($rptr,$i,8) # rp[i]=tp[i]-np[i] |
| 1431 | sbb 32($nptr,$i,8),@ri[0] |
| 1432 | mov 48($tptr,$i,8),@ri[2] |
| 1433 | mov 56($tptr,$i,8),@ri[3] |
| 1434 | sbb 40($nptr,$i,8),@ri[1] |
| 1435 | lea 4($i),$i # i++ |
| 1436 | dec $j # doesn't affect CF! |
| 1437 | jnz .Lsqr4x_sub |
| 1438 | |
| 1439 | mov @ri[0],0($rptr,$i,8) # rp[i]=tp[i]-np[i] |
| 1440 | mov 32($tptr,$i,8),@ri[0] # load overflow bit |
| 1441 | sbb 16($nptr,$i,8),@ri[2] |
| 1442 | mov @ri[1],8($rptr,$i,8) # rp[i]=tp[i]-np[i] |
| 1443 | sbb 24($nptr,$i,8),@ri[3] |
| 1444 | mov @ri[2],16($rptr,$i,8) # rp[i]=tp[i]-np[i] |
| 1445 | |
| 1446 | sbb \$0,@ri[0] # handle upmost overflow bit |
| 1447 | mov @ri[3],24($rptr,$i,8) # rp[i]=tp[i]-np[i] |
| 1448 | xor $i,$i # i=0 |
| 1449 | and @ri[0],$tptr |
| 1450 | not @ri[0] |
| 1451 | mov $rptr,$nptr |
| 1452 | and @ri[0],$nptr |
| 1453 | lea -1($num),$j |
| 1454 | or $nptr,$tptr # tp=borrow?tp:rp |
| 1455 | |
| 1456 | pxor %xmm0,%xmm0 |
| 1457 | lea 64(%rsp,$num,8),$nptr |
| 1458 | movdqu ($tptr),%xmm1 |
| 1459 | lea ($nptr,$num,8),$nptr |
| 1460 | movdqa %xmm0,64(%rsp) # zap lower half of temporary vector |
| 1461 | movdqa %xmm0,($nptr) # zap upper half of temporary vector |
| 1462 | movdqu %xmm1,($rptr) |
| 1463 | jmp .Lsqr4x_copy |
| 1464 | .align 16 |
| 1465 | .Lsqr4x_copy: # copy or in-place refresh |
| 1466 | movdqu 16($tptr,$i),%xmm2 |
| 1467 | movdqu 32($tptr,$i),%xmm1 |
| 1468 | movdqa %xmm0,80(%rsp,$i) # zap lower half of temporary vector |
| 1469 | movdqa %xmm0,96(%rsp,$i) # zap lower half of temporary vector |
| 1470 | movdqa %xmm0,16($nptr,$i) # zap upper half of temporary vector |
| 1471 | movdqa %xmm0,32($nptr,$i) # zap upper half of temporary vector |
| 1472 | movdqu %xmm2,16($rptr,$i) |
| 1473 | movdqu %xmm1,32($rptr,$i) |
| 1474 | lea 32($i),$i |
| 1475 | dec $j |
| 1476 | jnz .Lsqr4x_copy |
| 1477 | |
| 1478 | movdqu 16($tptr,$i),%xmm2 |
| 1479 | movdqa %xmm0,80(%rsp,$i) # zap lower half of temporary vector |
| 1480 | movdqa %xmm0,16($nptr,$i) # zap upper half of temporary vector |
| 1481 | movdqu %xmm2,16($rptr,$i) |
| 1482 | ___ |
| 1483 | } |
| 1484 | $code.=<<___; |
| 1485 | mov 56(%rsp),%rsi # restore %rsp |
| 1486 | mov \$1,%rax |
| 1487 | mov 0(%rsi),%r15 |
| 1488 | mov 8(%rsi),%r14 |
| 1489 | mov 16(%rsi),%r13 |
| 1490 | mov 24(%rsi),%r12 |
| 1491 | mov 32(%rsi),%rbp |
| 1492 | mov 40(%rsi),%rbx |
| 1493 | lea 48(%rsi),%rsp |
| 1494 | .Lsqr4x_epilogue: |
| 1495 | ret |
| 1496 | .size bn_sqr4x_mont,.-bn_sqr4x_mont |
| 1497 | ___ |
| 1498 | }}} |
| 1499 | $code.=<<___; |
| 1500 | .asciz "Montgomery Multiplication for x86_64, CRYPTOGAMS by <appro\@openssl.org>" |
| 1501 | .align 16 |
| 1502 | ___ |
| 1503 | |
| 1504 | # EXCEPTION_DISPOSITION handler (EXCEPTION_RECORD *rec,ULONG64 frame, |
| 1505 | # CONTEXT *context,DISPATCHER_CONTEXT *disp) |
| 1506 | if ($win64) { |
| 1507 | $rec="%rcx"; |
| 1508 | $frame="%rdx"; |
| 1509 | $context="%r8"; |
| 1510 | $disp="%r9"; |
| 1511 | |
| 1512 | $code.=<<___; |
| 1513 | .extern __imp_RtlVirtualUnwind |
| 1514 | .type mul_handler,\@abi-omnipotent |
| 1515 | .align 16 |
| 1516 | mul_handler: |
| 1517 | push %rsi |
| 1518 | push %rdi |
| 1519 | push %rbx |
| 1520 | push %rbp |
| 1521 | push %r12 |
| 1522 | push %r13 |
| 1523 | push %r14 |
| 1524 | push %r15 |
| 1525 | pushfq |
| 1526 | sub \$64,%rsp |
| 1527 | |
| 1528 | mov 120($context),%rax # pull context->Rax |
| 1529 | mov 248($context),%rbx # pull context->Rip |
| 1530 | |
| 1531 | mov 8($disp),%rsi # disp->ImageBase |
| 1532 | mov 56($disp),%r11 # disp->HandlerData |
| 1533 | |
| 1534 | mov 0(%r11),%r10d # HandlerData[0] |
| 1535 | lea (%rsi,%r10),%r10 # end of prologue label |
| 1536 | cmp %r10,%rbx # context->Rip<end of prologue label |
| 1537 | jb .Lcommon_seh_tail |
| 1538 | |
| 1539 | mov 152($context),%rax # pull context->Rsp |
| 1540 | |
| 1541 | mov 4(%r11),%r10d # HandlerData[1] |
| 1542 | lea (%rsi,%r10),%r10 # epilogue label |
| 1543 | cmp %r10,%rbx # context->Rip>=epilogue label |
| 1544 | jae .Lcommon_seh_tail |
| 1545 | |
| 1546 | mov 192($context),%r10 # pull $num |
| 1547 | mov 8(%rax,%r10,8),%rax # pull saved stack pointer |
| 1548 | lea 48(%rax),%rax |
| 1549 | |
| 1550 | mov -8(%rax),%rbx |
| 1551 | mov -16(%rax),%rbp |
| 1552 | mov -24(%rax),%r12 |
| 1553 | mov -32(%rax),%r13 |
| 1554 | mov -40(%rax),%r14 |
| 1555 | mov -48(%rax),%r15 |
| 1556 | mov %rbx,144($context) # restore context->Rbx |
| 1557 | mov %rbp,160($context) # restore context->Rbp |
| 1558 | mov %r12,216($context) # restore context->R12 |
| 1559 | mov %r13,224($context) # restore context->R13 |
| 1560 | mov %r14,232($context) # restore context->R14 |
| 1561 | mov %r15,240($context) # restore context->R15 |
| 1562 | |
| 1563 | jmp .Lcommon_seh_tail |
| 1564 | .size mul_handler,.-mul_handler |
| 1565 | |
| 1566 | .type sqr_handler,\@abi-omnipotent |
| 1567 | .align 16 |
| 1568 | sqr_handler: |
| 1569 | push %rsi |
| 1570 | push %rdi |
| 1571 | push %rbx |
| 1572 | push %rbp |
| 1573 | push %r12 |
| 1574 | push %r13 |
| 1575 | push %r14 |
| 1576 | push %r15 |
| 1577 | pushfq |
| 1578 | sub \$64,%rsp |
| 1579 | |
| 1580 | mov 120($context),%rax # pull context->Rax |
| 1581 | mov 248($context),%rbx # pull context->Rip |
| 1582 | |
| 1583 | lea .Lsqr4x_body(%rip),%r10 |
| 1584 | cmp %r10,%rbx # context->Rip<.Lsqr_body |
| 1585 | jb .Lcommon_seh_tail |
| 1586 | |
| 1587 | mov 152($context),%rax # pull context->Rsp |
| 1588 | |
| 1589 | lea .Lsqr4x_epilogue(%rip),%r10 |
| 1590 | cmp %r10,%rbx # context->Rip>=.Lsqr_epilogue |
| 1591 | jae .Lcommon_seh_tail |
| 1592 | |
| 1593 | mov 56(%rax),%rax # pull saved stack pointer |
| 1594 | lea 48(%rax),%rax |
| 1595 | |
| 1596 | mov -8(%rax),%rbx |
| 1597 | mov -16(%rax),%rbp |
| 1598 | mov -24(%rax),%r12 |
| 1599 | mov -32(%rax),%r13 |
| 1600 | mov -40(%rax),%r14 |
| 1601 | mov -48(%rax),%r15 |
| 1602 | mov %rbx,144($context) # restore context->Rbx |
| 1603 | mov %rbp,160($context) # restore context->Rbp |
| 1604 | mov %r12,216($context) # restore context->R12 |
| 1605 | mov %r13,224($context) # restore context->R13 |
| 1606 | mov %r14,232($context) # restore context->R14 |
| 1607 | mov %r15,240($context) # restore context->R15 |
| 1608 | |
| 1609 | .Lcommon_seh_tail: |
| 1610 | mov 8(%rax),%rdi |
| 1611 | mov 16(%rax),%rsi |
| 1612 | mov %rax,152($context) # restore context->Rsp |
| 1613 | mov %rsi,168($context) # restore context->Rsi |
| 1614 | mov %rdi,176($context) # restore context->Rdi |
| 1615 | |
| 1616 | mov 40($disp),%rdi # disp->ContextRecord |
| 1617 | mov $context,%rsi # context |
| 1618 | mov \$154,%ecx # sizeof(CONTEXT) |
| 1619 | .long 0xa548f3fc # cld; rep movsq |
| 1620 | |
| 1621 | mov $disp,%rsi |
| 1622 | xor %rcx,%rcx # arg1, UNW_FLAG_NHANDLER |
| 1623 | mov 8(%rsi),%rdx # arg2, disp->ImageBase |
| 1624 | mov 0(%rsi),%r8 # arg3, disp->ControlPc |
| 1625 | mov 16(%rsi),%r9 # arg4, disp->FunctionEntry |
| 1626 | mov 40(%rsi),%r10 # disp->ContextRecord |
| 1627 | lea 56(%rsi),%r11 # &disp->HandlerData |
| 1628 | lea 24(%rsi),%r12 # &disp->EstablisherFrame |
| 1629 | mov %r10,32(%rsp) # arg5 |
| 1630 | mov %r11,40(%rsp) # arg6 |
| 1631 | mov %r12,48(%rsp) # arg7 |
| 1632 | mov %rcx,56(%rsp) # arg8, (NULL) |
| 1633 | call *__imp_RtlVirtualUnwind(%rip) |
| 1634 | |
| 1635 | mov \$1,%eax # ExceptionContinueSearch |
| 1636 | add \$64,%rsp |
| 1637 | popfq |
| 1638 | pop %r15 |
| 1639 | pop %r14 |
| 1640 | pop %r13 |
| 1641 | pop %r12 |
| 1642 | pop %rbp |
| 1643 | pop %rbx |
| 1644 | pop %rdi |
| 1645 | pop %rsi |
| 1646 | ret |
| 1647 | .size sqr_handler,.-sqr_handler |
| 1648 | |
| 1649 | .section .pdata |
| 1650 | .align 4 |
| 1651 | .rva .LSEH_begin_bn_mul_mont |
| 1652 | .rva .LSEH_end_bn_mul_mont |
| 1653 | .rva .LSEH_info_bn_mul_mont |
| 1654 | |
| 1655 | .rva .LSEH_begin_bn_mul4x_mont |
| 1656 | .rva .LSEH_end_bn_mul4x_mont |
| 1657 | .rva .LSEH_info_bn_mul4x_mont |
| 1658 | |
| 1659 | .rva .LSEH_begin_bn_sqr4x_mont |
| 1660 | .rva .LSEH_end_bn_sqr4x_mont |
| 1661 | .rva .LSEH_info_bn_sqr4x_mont |
| 1662 | |
| 1663 | .section .xdata |
| 1664 | .align 8 |
| 1665 | .LSEH_info_bn_mul_mont: |
| 1666 | .byte 9,0,0,0 |
| 1667 | .rva mul_handler |
| 1668 | .rva .Lmul_body,.Lmul_epilogue # HandlerData[] |
| 1669 | .LSEH_info_bn_mul4x_mont: |
| 1670 | .byte 9,0,0,0 |
| 1671 | .rva mul_handler |
| 1672 | .rva .Lmul4x_body,.Lmul4x_epilogue # HandlerData[] |
| 1673 | .LSEH_info_bn_sqr4x_mont: |
| 1674 | .byte 9,0,0,0 |
| 1675 | .rva sqr_handler |
| 1676 | ___ |
| 1677 | } |
| 1678 | |
| 1679 | print $code; |
| 1680 | close STDOUT; |