projects / thirdparty / openssl.git / blame
| Commit | Line | Data |
|---|---|---|
| 6aa36e8e | 1 | #! /usr/bin/env perl |
| 33388b44 | 2 | # Copyright 2011-2020 The OpenSSL Project Authors. All Rights Reserved. |
| 6aa36e8e | 3 | # |
| 367ace68 | 4 | # Licensed under the Apache License 2.0 (the "License"). You may not use |
| 6aa36e8e RS |
5 | # this file except in compliance with the License. You can obtain a copy |
| 6 | # in the file LICENSE in the source distribution or at | |
| 7 | # https://www.openssl.org/source/license.html | |
| 8 | ||
| 361512da AP |
9 | |
| 10 | # ==================================================================== | |
| 11 | # Written by Andy Polyakov <appro@openssl.org> for the OpenSSL | |
| 12 | # project. The module is, however, dual licensed under OpenSSL and | |
| 13 | # CRYPTOGAMS licenses depending on where you obtain it. For further | |
| 14 | # details see http://www.openssl.org/~appro/cryptogams/. | |
| 15 | # ==================================================================== | |
| 16 | ||
| 17 | # August 2011. | |
| 18 | # | |
| 19 | # Companion to x86_64-mont.pl that optimizes cache-timing attack | |
| 20 | # countermeasures. The subroutines are produced by replacing bp[i] | |
| 21 | # references in their x86_64-mont.pl counterparts with cache-neutral | |
| 22 | # references to powers table computed in BN_mod_exp_mont_consttime. | |
| 23 | # In addition subroutine that scatters elements of the powers table | |
| 24 | # is implemented, so that scatter-/gathering can be tuned without | |
| 25 | # bn_exp.c modifications. | |
| 26 | ||
| ec9cc70f AP |
27 | # August 2013. |
| 28 | # | |
| 29 | # Add MULX/AD*X code paths and additional interfaces to optimize for | |
| 30 | # branch prediction unit. For input lengths that are multiples of 8 | |
| 31 | # the np argument is not just modulus value, but one interleaved | |
| 32 | # with 0. This is to optimize post-condition... | |
| 33 | ||
| 1aa89a7a RL |
34 | # $output is the last argument if it looks like a file (it has an extension) |
| 35 | # $flavour is the first argument if it doesn't look like a file | |
| 36 | $output = $#ARGV >= 0 && $ARGV[$#ARGV] =~ m|\.\w+$| ? pop : undef; | |
| 37 | $flavour = $#ARGV >= 0 && $ARGV[0] !~ m|\.| ? shift : undef; | |
| 361512da AP |
38 | |
| 39 | $win64=0; $win64=1 if ($flavour =~ /[nm]asm|mingw64/ || $output =~ /\.asm$/); | |
| 40 | ||
| 41 | $0 =~ m/(.*[\/\\])[^\/\\]+$/; $dir=$1; | |
| 42 | ( $xlate="${dir}x86_64-xlate.pl" and -f $xlate ) or | |
| 43 | ( $xlate="${dir}../../perlasm/x86_64-xlate.pl" and -f $xlate) or | |
| 44 | die "can't locate x86_64-xlate.pl"; | |
| 45 | ||
| 1aa89a7a RL |
46 | open OUT,"| \"$^X\" \"$xlate\" $flavour \"$output\"" |
| 47 | or die "can't call $xlate: $!"; | |
| 4568182a | 48 | *STDOUT=*OUT; |
| 361512da | 49 | |
| a5bb5bca AP |
50 | if (`$ENV{CC} -Wa,-v -c -o /dev/null -x assembler /dev/null 2>&1` |
| 51 | =~ /GNU assembler version ([2-9]\.[0-9]+)/) { | |
| 30b9c234 | 52 | $addx = ($1>=2.23); |
| a5bb5bca AP |
53 | } |
| 54 | ||
| 55 | if (!$addx && $win64 && ($flavour =~ /nasm/ || $ENV{ASM} =~ /nasm/) && | |
| 56 | `nasm -v 2>&1` =~ /NASM version ([2-9]\.[0-9]+)/) { | |
| 57 | $addx = ($1>=2.10); | |
| 58 | } | |
| 59 | ||
| 60 | if (!$addx && $win64 && ($flavour =~ /masm/ || $ENV{ASM} =~ /ml64/) && | |
| 61 | `ml64 2>&1` =~ /Version ([0-9]+)\./) { | |
| 1b0fe79f | 62 | $addx = ($1>=12); |
| a5bb5bca AP |
63 | } |
| 64 | ||
| 9bb3e5fd | 65 | if (!$addx && `$ENV{CC} -v 2>&1` =~ /((?:^clang|LLVM) version|.*based on LLVM) ([0-9]+)\.([0-9]+)/) { |
| 569e2d12 AP |
66 | my $ver = $2 + $3/100.0; # 3.1->3.01, 3.10->3.10 |
| 67 | $addx = ($ver>=3.03); | |
| 68 | } | |
| 69 | ||
| 361512da AP |
70 | # int bn_mul_mont_gather5( |
| 71 | $rp="%rdi"; # BN_ULONG *rp, | |
| 72 | $ap="%rsi"; # const BN_ULONG *ap, | |
| 73 | $bp="%rdx"; # const BN_ULONG *bp, | |
| 74 | $np="%rcx"; # const BN_ULONG *np, | |
| 75 | $n0="%r8"; # const BN_ULONG *n0, | |
| 76 | $num="%r9"; # int num, | |
| 77 | # int idx); # 0 to 2^5-1, "index" in $bp holding | |
| 78 | # pre-computed powers of a', interlaced | |
| 79 | # in such manner that b[0] is $bp[idx], | |
| 80 | # b[1] is [2^5+idx], etc. | |
| 81 | $lo0="%r10"; | |
| 82 | $hi0="%r11"; | |
| 83 | $hi1="%r13"; | |
| 84 | $i="%r14"; | |
| 85 | $j="%r15"; | |
| 86 | $m0="%rbx"; | |
| 87 | $m1="%rbp"; | |
| 88 | ||
| 89 | $code=<<___; | |
| 90 | .text | |
| 91 | ||
| a5bb5bca AP |
92 | .extern OPENSSL_ia32cap_P |
| 93 | ||
| 361512da AP |
94 | .globl bn_mul_mont_gather5 |
| 95 | .type bn_mul_mont_gather5,\@function,6 | |
| 96 | .align 64 | |
| 97 | bn_mul_mont_gather5: | |
| 76e624a0 | 98 | .cfi_startproc |
| 3ba1ef82 AP |
99 | mov ${num}d,${num}d |
| 100 | mov %rsp,%rax | |
| 76e624a0 | 101 | .cfi_def_cfa_register %rax |
| ec9cc70f | 102 | test \$7,${num}d |
| 361512da | 103 | jnz .Lmul_enter |
| a5bb5bca AP |
104 | ___ |
| 105 | $code.=<<___ if ($addx); | |
| 106 | mov OPENSSL_ia32cap_P+8(%rip),%r11d | |
| 107 | ___ | |
| 108 | $code.=<<___; | |
| 361512da AP |
109 | jmp .Lmul4x_enter |
| 110 | ||
| 111 | .align 16 | |
| 112 | .Lmul_enter: | |
| 317be638 | 113 | movd `($win64?56:8)`(%rsp),%xmm5 # load 7th argument |
| 361512da | 114 | push %rbx |
| 76e624a0 | 115 | .cfi_push %rbx |
| 361512da | 116 | push %rbp |
| 76e624a0 | 117 | .cfi_push %rbp |
| 361512da | 118 | push %r12 |
| 76e624a0 | 119 | .cfi_push %r12 |
| 361512da | 120 | push %r13 |
| 76e624a0 | 121 | .cfi_push %r13 |
| 361512da | 122 | push %r14 |
| 76e624a0 | 123 | .cfi_push %r14 |
| 361512da | 124 | push %r15 |
| 25b802bb | 125 | .cfi_push %r15 |
| 317be638 | 126 | |
| 3ba1ef82 AP |
127 | neg $num |
| 128 | mov %rsp,%r11 | |
| 129 | lea -280(%rsp,$num,8),%r10 # future alloca(8*(num+2)+256+8) | |
| 130 | neg $num # restore $num | |
| 131 | and \$-1024,%r10 # minimize TLB usage | |
| 361512da | 132 | |
| 0a86f668 EK |
133 | # An OS-agnostic version of __chkstk. |
| 134 | # | |
| 1bf80d93 | 135 | # Some OSes (Windows) insist on stack being "wired" to |
| adc4f1fc AP |
136 | # physical memory in strictly sequential manner, i.e. if stack |
| 137 | # allocation spans two pages, then reference to farmost one can | |
| 138 | # be punishable by SEGV. But page walking can do good even on | |
| 139 | # other OSes, because it guarantees that villain thread hits | |
| 140 | # the guard page before it can make damage to innocent one... | |
| 3ba1ef82 AP |
141 | sub %r10,%r11 |
| 142 | and \$-4096,%r11 | |
| 143 | lea (%r10,%r11),%rsp | |
| 144 | mov (%rsp),%r11 | |
| 145 | cmp %r10,%rsp | |
| 146 | ja .Lmul_page_walk | |
| 147 | jmp .Lmul_page_walk_done | |
| 148 | ||
| adc4f1fc | 149 | .Lmul_page_walk: |
| 3ba1ef82 AP |
150 | lea -4096(%rsp),%rsp |
| 151 | mov (%rsp),%r11 | |
| 152 | cmp %r10,%rsp | |
| 153 | ja .Lmul_page_walk | |
| 154 | .Lmul_page_walk_done: | |
| 155 | ||
| 156 | lea .Linc(%rip),%r10 | |
| 157 | mov %rax,8(%rsp,$num,8) # tp[num+1]=%rsp | |
| 76e624a0 | 158 | .cfi_cfa_expression %rsp+8,$num,8,mul,plus,deref,+8 |
| 3ba1ef82 | 159 | .Lmul_body: |
| adc4f1fc | 160 | |
| 8fc8f486 | 161 | lea 128($bp),%r12 # reassign $bp (+size optimization) |
| 361512da AP |
162 | ___ |
| 163 | $bp="%r12"; | |
| 164 | $STRIDE=2**5*8; # 5 is "window size" | |
| 165 | $N=$STRIDE/4; # should match cache line size | |
| 166 | $code.=<<___; | |
| 317be638 AP |
167 | movdqa 0(%r10),%xmm0 # 00000001000000010000000000000000 |
| 168 | movdqa 16(%r10),%xmm1 # 00000002000000020000000200000002 | |
| 169 | lea 24-112(%rsp,$num,8),%r10# place the mask after tp[num+3] (+ICache optimization) | |
| 170 | and \$-16,%r10 | |
| 8fc8f486 | 171 | |
| 317be638 AP |
172 | pshufd \$0,%xmm5,%xmm5 # broadcast index |
| 173 | movdqa %xmm1,%xmm4 | |
| 174 | movdqa %xmm1,%xmm2 | |
| 175 | ___ | |
| 176 | ######################################################################## | |
| 177 | # calculate mask by comparing 0..31 to index and save result to stack | |
| 178 | # | |
| 179 | $code.=<<___; | |
| 180 | paddd %xmm0,%xmm1 | |
| 181 | pcmpeqd %xmm5,%xmm0 # compare to 1,0 | |
| 182 | .byte 0x67 | |
| 183 | movdqa %xmm4,%xmm3 | |
| 184 | ___ | |
| 185 | for($k=0;$k<$STRIDE/16-4;$k+=4) { | |
| 186 | $code.=<<___; | |
| 187 | paddd %xmm1,%xmm2 | |
| 188 | pcmpeqd %xmm5,%xmm1 # compare to 3,2 | |
| 189 | movdqa %xmm0,`16*($k+0)+112`(%r10) | |
| 190 | movdqa %xmm4,%xmm0 | |
| 361512da | 191 | |
| 317be638 AP |
192 | paddd %xmm2,%xmm3 |
| 193 | pcmpeqd %xmm5,%xmm2 # compare to 5,4 | |
| 194 | movdqa %xmm1,`16*($k+1)+112`(%r10) | |
| 195 | movdqa %xmm4,%xmm1 | |
| 196 | ||
| 197 | paddd %xmm3,%xmm0 | |
| 198 | pcmpeqd %xmm5,%xmm3 # compare to 7,6 | |
| 199 | movdqa %xmm2,`16*($k+2)+112`(%r10) | |
| 200 | movdqa %xmm4,%xmm2 | |
| 201 | ||
| 202 | paddd %xmm0,%xmm1 | |
| 203 | pcmpeqd %xmm5,%xmm0 | |
| 204 | movdqa %xmm3,`16*($k+3)+112`(%r10) | |
| 205 | movdqa %xmm4,%xmm3 | |
| 206 | ___ | |
| 207 | } | |
| 208 | $code.=<<___; # last iteration can be optimized | |
| 209 | paddd %xmm1,%xmm2 | |
| 210 | pcmpeqd %xmm5,%xmm1 | |
| 211 | movdqa %xmm0,`16*($k+0)+112`(%r10) | |
| 212 | ||
| 213 | paddd %xmm2,%xmm3 | |
| 214 | .byte 0x67 | |
| 215 | pcmpeqd %xmm5,%xmm2 | |
| 216 | movdqa %xmm1,`16*($k+1)+112`(%r10) | |
| 217 | ||
| 218 | pcmpeqd %xmm5,%xmm3 | |
| 219 | movdqa %xmm2,`16*($k+2)+112`(%r10) | |
| 220 | pand `16*($k+0)-128`($bp),%xmm0 # while it's still in register | |
| 221 | ||
| 222 | pand `16*($k+1)-128`($bp),%xmm1 | |
| 223 | pand `16*($k+2)-128`($bp),%xmm2 | |
| 224 | movdqa %xmm3,`16*($k+3)+112`(%r10) | |
| 225 | pand `16*($k+3)-128`($bp),%xmm3 | |
| 226 | por %xmm2,%xmm0 | |
| 227 | por %xmm3,%xmm1 | |
| 228 | ___ | |
| 229 | for($k=0;$k<$STRIDE/16-4;$k+=4) { | |
| 230 | $code.=<<___; | |
| 231 | movdqa `16*($k+0)-128`($bp),%xmm4 | |
| 232 | movdqa `16*($k+1)-128`($bp),%xmm5 | |
| 233 | movdqa `16*($k+2)-128`($bp),%xmm2 | |
| 234 | pand `16*($k+0)+112`(%r10),%xmm4 | |
| 235 | movdqa `16*($k+3)-128`($bp),%xmm3 | |
| 236 | pand `16*($k+1)+112`(%r10),%xmm5 | |
| 237 | por %xmm4,%xmm0 | |
| 238 | pand `16*($k+2)+112`(%r10),%xmm2 | |
| 239 | por %xmm5,%xmm1 | |
| 240 | pand `16*($k+3)+112`(%r10),%xmm3 | |
| 241 | por %xmm2,%xmm0 | |
| 242 | por %xmm3,%xmm1 | |
| 243 | ___ | |
| 244 | } | |
| 245 | $code.=<<___; | |
| 246 | por %xmm1,%xmm0 | |
| 247 | pshufd \$0x4e,%xmm0,%xmm1 | |
| 248 | por %xmm1,%xmm0 | |
| 249 | lea $STRIDE($bp),$bp | |
| 361512da AP |
250 | movq %xmm0,$m0 # m0=bp[0] |
| 251 | ||
| 252 | mov ($n0),$n0 # pull n0[0] value | |
| 253 | mov ($ap),%rax | |
| 254 | ||
| 255 | xor $i,$i # i=0 | |
| 256 | xor $j,$j # j=0 | |
| 257 | ||
| 361512da AP |
258 | mov $n0,$m1 |
| 259 | mulq $m0 # ap[0]*bp[0] | |
| 260 | mov %rax,$lo0 | |
| 261 | mov ($np),%rax | |
| 262 | ||
| 361512da AP |
263 | imulq $lo0,$m1 # "tp[0]"*n0 |
| 264 | mov %rdx,$hi0 | |
| 265 | ||
| 361512da AP |
266 | mulq $m1 # np[0]*m1 |
| 267 | add %rax,$lo0 # discarded | |
| 268 | mov 8($ap),%rax | |
| 269 | adc \$0,%rdx | |
| 270 | mov %rdx,$hi1 | |
| 271 | ||
| 272 | lea 1($j),$j # j++ | |
| 273 | jmp .L1st_enter | |
| 274 | ||
| 275 | .align 16 | |
| 276 | .L1st: | |
| 277 | add %rax,$hi1 | |
| 278 | mov ($ap,$j,8),%rax | |
| 279 | adc \$0,%rdx | |
| 280 | add $hi0,$hi1 # np[j]*m1+ap[j]*bp[0] | |
| 281 | mov $lo0,$hi0 | |
| 282 | adc \$0,%rdx | |
| 283 | mov $hi1,-16(%rsp,$j,8) # tp[j-1] | |
| 284 | mov %rdx,$hi1 | |
| 285 | ||
| 286 | .L1st_enter: | |
| 287 | mulq $m0 # ap[j]*bp[0] | |
| 288 | add %rax,$hi0 | |
| 289 | mov ($np,$j,8),%rax | |
| 290 | adc \$0,%rdx | |
| 291 | lea 1($j),$j # j++ | |
| 292 | mov %rdx,$lo0 | |
| 293 | ||
| 294 | mulq $m1 # np[j]*m1 | |
| 295 | cmp $num,$j | |
| 317be638 AP |
296 | jne .L1st # note that upon exit $j==$num, so |
| 297 | # they can be used interchangeably | |
| 361512da AP |
298 | |
| 299 | add %rax,$hi1 | |
| 361512da AP |
300 | adc \$0,%rdx |
| 301 | add $hi0,$hi1 # np[j]*m1+ap[j]*bp[0] | |
| 302 | adc \$0,%rdx | |
| 317be638 | 303 | mov $hi1,-16(%rsp,$num,8) # tp[num-1] |
| 361512da AP |
304 | mov %rdx,$hi1 |
| 305 | mov $lo0,$hi0 | |
| 306 | ||
| 307 | xor %rdx,%rdx | |
| 308 | add $hi0,$hi1 | |
| 309 | adc \$0,%rdx | |
| 310 | mov $hi1,-8(%rsp,$num,8) | |
| 311 | mov %rdx,(%rsp,$num,8) # store upmost overflow bit | |
| 312 | ||
| 313 | lea 1($i),$i # i++ | |
| 314 | jmp .Louter | |
| 315 | .align 16 | |
| 316 | .Louter: | |
| 317be638 AP |
317 | lea 24+128(%rsp,$num,8),%rdx # where 256-byte mask is (+size optimization) |
| 318 | and \$-16,%rdx | |
| 319 | pxor %xmm4,%xmm4 | |
| 320 | pxor %xmm5,%xmm5 | |
| 321 | ___ | |
| 322 | for($k=0;$k<$STRIDE/16;$k+=4) { | |
| 323 | $code.=<<___; | |
| 324 | movdqa `16*($k+0)-128`($bp),%xmm0 | |
| 325 | movdqa `16*($k+1)-128`($bp),%xmm1 | |
| 326 | movdqa `16*($k+2)-128`($bp),%xmm2 | |
| 327 | movdqa `16*($k+3)-128`($bp),%xmm3 | |
| 328 | pand `16*($k+0)-128`(%rdx),%xmm0 | |
| 329 | pand `16*($k+1)-128`(%rdx),%xmm1 | |
| 330 | por %xmm0,%xmm4 | |
| 331 | pand `16*($k+2)-128`(%rdx),%xmm2 | |
| 332 | por %xmm1,%xmm5 | |
| 333 | pand `16*($k+3)-128`(%rdx),%xmm3 | |
| 334 | por %xmm2,%xmm4 | |
| 335 | por %xmm3,%xmm5 | |
| 336 | ___ | |
| 337 | } | |
| 338 | $code.=<<___; | |
| 339 | por %xmm5,%xmm4 | |
| 340 | pshufd \$0x4e,%xmm4,%xmm0 | |
| 341 | por %xmm4,%xmm0 | |
| 8fc8f486 | 342 | lea $STRIDE($bp),$bp |
| 8fc8f486 AP |
343 | |
| 344 | mov ($ap),%rax # ap[0] | |
| 345 | movq %xmm0,$m0 # m0=bp[i] | |
| 346 | ||
| 361512da AP |
347 | xor $j,$j # j=0 |
| 348 | mov $n0,$m1 | |
| 349 | mov (%rsp),$lo0 | |
| 350 | ||
| 361512da AP |
351 | mulq $m0 # ap[0]*bp[i] |
| 352 | add %rax,$lo0 # ap[0]*bp[i]+tp[0] | |
| 353 | mov ($np),%rax | |
| 354 | adc \$0,%rdx | |
| 355 | ||
| 361512da AP |
356 | imulq $lo0,$m1 # tp[0]*n0 |
| 357 | mov %rdx,$hi0 | |
| 358 | ||
| 361512da AP |
359 | mulq $m1 # np[0]*m1 |
| 360 | add %rax,$lo0 # discarded | |
| 361 | mov 8($ap),%rax | |
| 362 | adc \$0,%rdx | |
| 363 | mov 8(%rsp),$lo0 # tp[1] | |
| 364 | mov %rdx,$hi1 | |
| 365 | ||
| 366 | lea 1($j),$j # j++ | |
| 367 | jmp .Linner_enter | |
| 368 | ||
| 369 | .align 16 | |
| 370 | .Linner: | |
| 371 | add %rax,$hi1 | |
| 372 | mov ($ap,$j,8),%rax | |
| 373 | adc \$0,%rdx | |
| 374 | add $lo0,$hi1 # np[j]*m1+ap[j]*bp[i]+tp[j] | |
| 375 | mov (%rsp,$j,8),$lo0 | |
| 376 | adc \$0,%rdx | |
| 377 | mov $hi1,-16(%rsp,$j,8) # tp[j-1] | |
| 378 | mov %rdx,$hi1 | |
| 379 | ||
| 380 | .Linner_enter: | |
| 381 | mulq $m0 # ap[j]*bp[i] | |
| 382 | add %rax,$hi0 | |
| 383 | mov ($np,$j,8),%rax | |
| 384 | adc \$0,%rdx | |
| 385 | add $hi0,$lo0 # ap[j]*bp[i]+tp[j] | |
| 386 | mov %rdx,$hi0 | |
| 387 | adc \$0,$hi0 | |
| 388 | lea 1($j),$j # j++ | |
| 389 | ||
| 390 | mulq $m1 # np[j]*m1 | |
| 391 | cmp $num,$j | |
| 317be638 AP |
392 | jne .Linner # note that upon exit $j==$num, so |
| 393 | # they can be used interchangeably | |
| 361512da | 394 | add %rax,$hi1 |
| 361512da AP |
395 | adc \$0,%rdx |
| 396 | add $lo0,$hi1 # np[j]*m1+ap[j]*bp[i]+tp[j] | |
| 8fc8f486 | 397 | mov (%rsp,$num,8),$lo0 |
| 361512da | 398 | adc \$0,%rdx |
| 317be638 | 399 | mov $hi1,-16(%rsp,$num,8) # tp[num-1] |
| 361512da AP |
400 | mov %rdx,$hi1 |
| 401 | ||
| 402 | xor %rdx,%rdx | |
| 403 | add $hi0,$hi1 | |
| 404 | adc \$0,%rdx | |
| 405 | add $lo0,$hi1 # pull upmost overflow bit | |
| 406 | adc \$0,%rdx | |
| 407 | mov $hi1,-8(%rsp,$num,8) | |
| 408 | mov %rdx,(%rsp,$num,8) # store upmost overflow bit | |
| 409 | ||
| 410 | lea 1($i),$i # i++ | |
| 411 | cmp $num,$i | |
| ec9cc70f | 412 | jb .Louter |
| 361512da AP |
413 | |
| 414 | xor $i,$i # i=0 and clear CF! | |
| 415 | mov (%rsp),%rax # tp[0] | |
| 416 | lea (%rsp),$ap # borrow ap for tp | |
| 417 | mov $num,$j # j=num | |
| 418 | jmp .Lsub | |
| 419 | .align 16 | |
| 420 | .Lsub: sbb ($np,$i,8),%rax | |
| 421 | mov %rax,($rp,$i,8) # rp[i]=tp[i]-np[i] | |
| 422 | mov 8($ap,$i,8),%rax # tp[i+1] | |
| 423 | lea 1($i),$i # i++ | |
| 46f4e1be | 424 | dec $j # doesn't affect CF! |
| 361512da AP |
425 | jnz .Lsub |
| 426 | ||
| 427 | sbb \$0,%rax # handle upmost overflow bit | |
| 774ff8fe AP |
428 | mov \$-1,%rbx |
| 429 | xor %rax,%rbx | |
| 361512da | 430 | xor $i,$i |
| 361512da | 431 | mov $num,$j # j=num |
| 774ff8fe AP |
432 | |
| 433 | .Lcopy: # conditional copy | |
| 434 | mov ($rp,$i,8),%rcx | |
| 435 | mov (%rsp,$i,8),%rdx | |
| 436 | and %rbx,%rcx | |
| 437 | and %rax,%rdx | |
| 361512da | 438 | mov $i,(%rsp,$i,8) # zap temporary vector |
| 774ff8fe AP |
439 | or %rcx,%rdx |
| 440 | mov %rdx,($rp,$i,8) # rp[i]=tp[i] | |
| 361512da AP |
441 | lea 1($i),$i |
| 442 | sub \$1,$j | |
| 443 | jnz .Lcopy | |
| 444 | ||
| 445 | mov 8(%rsp,$num,8),%rsi # restore %rsp | |
| 76e624a0 | 446 | .cfi_def_cfa %rsi,8 |
| 361512da | 447 | mov \$1,%rax |
| 317be638 | 448 | |
| ec9cc70f | 449 | mov -48(%rsi),%r15 |
| 76e624a0 | 450 | .cfi_restore %r15 |
| ec9cc70f | 451 | mov -40(%rsi),%r14 |
| 3f55ec67 | 452 | .cfi_restore %r14 |
| ec9cc70f | 453 | mov -32(%rsi),%r13 |
| 3f55ec67 | 454 | .cfi_restore %r13 |
| ec9cc70f | 455 | mov -24(%rsi),%r12 |
| 3f55ec67 | 456 | .cfi_restore %r12 |
| ec9cc70f | 457 | mov -16(%rsi),%rbp |
| 3f55ec67 | 458 | .cfi_restore %rbp |
| ec9cc70f | 459 | mov -8(%rsi),%rbx |
| 3f55ec67 | 460 | .cfi_restore %rbx |
| ec9cc70f | 461 | lea (%rsi),%rsp |
| 76e624a0 | 462 | .cfi_def_cfa_register %rsp |
| 361512da AP |
463 | .Lmul_epilogue: |
| 464 | ret | |
| 76e624a0 | 465 | .cfi_endproc |
| 361512da AP |
466 | .size bn_mul_mont_gather5,.-bn_mul_mont_gather5 |
| 467 | ___ | |
| 468 | {{{ | |
| 469 | my @A=("%r10","%r11"); | |
| 470 | my @N=("%r13","%rdi"); | |
| 471 | $code.=<<___; | |
| 472 | .type bn_mul4x_mont_gather5,\@function,6 | |
| ec9cc70f | 473 | .align 32 |
| 361512da | 474 | bn_mul4x_mont_gather5: |
| 76e624a0 | 475 | .cfi_startproc |
| 3ba1ef82 AP |
476 | .byte 0x67 |
| 477 | mov %rsp,%rax | |
| 76e624a0 | 478 | .cfi_def_cfa_register %rax |
| 361512da | 479 | .Lmul4x_enter: |
| a5bb5bca AP |
480 | ___ |
| 481 | $code.=<<___ if ($addx); | |
| 8fc8f486 AP |
482 | and \$0x80108,%r11d |
| 483 | cmp \$0x80108,%r11d # check for AD*X+BMI2+BMI1 | |
| a5bb5bca AP |
484 | je .Lmulx4x_enter |
| 485 | ___ | |
| 486 | $code.=<<___; | |
| 361512da | 487 | push %rbx |
| 76e624a0 | 488 | .cfi_push %rbx |
| 361512da | 489 | push %rbp |
| 76e624a0 | 490 | .cfi_push %rbp |
| 361512da | 491 | push %r12 |
| 76e624a0 | 492 | .cfi_push %r12 |
| 361512da | 493 | push %r13 |
| 76e624a0 | 494 | .cfi_push %r13 |
| 361512da | 495 | push %r14 |
| 76e624a0 | 496 | .cfi_push %r14 |
| 361512da | 497 | push %r15 |
| 76e624a0 | 498 | .cfi_push %r15 |
| 3ba1ef82 | 499 | .Lmul4x_prologue: |
| 8fc8f486 | 500 | |
| ec9cc70f | 501 | .byte 0x67 |
| 8fc8f486 AP |
502 | shl \$3,${num}d # convert $num to bytes |
| 503 | lea ($num,$num,2),%r10 # 3*$num in bytes | |
| ec9cc70f | 504 | neg $num # -$num |
| 361512da | 505 | |
| ec9cc70f | 506 | ############################################################## |
| 8fc8f486 AP |
507 | # Ensure that stack frame doesn't alias with $rptr+3*$num |
| 508 | # modulo 4096, which covers ret[num], am[num] and n[num] | |
| 509 | # (see bn_exp.c). This is done to allow memory disambiguation | |
| 510 | # logic do its magic. [Extra [num] is allocated in order | |
| 511 | # to align with bn_power5's frame, which is cleansed after | |
| 512 | # completing exponentiation. Extra 256 bytes is for power mask | |
| 513 | # calculated from 7th argument, the index.] | |
| ec9cc70f | 514 | # |
| 8fc8f486 | 515 | lea -320(%rsp,$num,2),%r11 |
| 3ba1ef82 | 516 | mov %rsp,%rbp |
| 8fc8f486 | 517 | sub $rp,%r11 |
| ec9cc70f AP |
518 | and \$4095,%r11 |
| 519 | cmp %r11,%r10 | |
| 520 | jb .Lmul4xsp_alt | |
| 3ba1ef82 AP |
521 | sub %r11,%rbp # align with $rp |
| 522 | lea -320(%rbp,$num,2),%rbp # future alloca(frame+2*num*8+256) | |
| ec9cc70f AP |
523 | jmp .Lmul4xsp_done |
| 524 | ||
| 525 | .align 32 | |
| 526 | .Lmul4xsp_alt: | |
| 8fc8f486 | 527 | lea 4096-320(,$num,2),%r10 |
| 3ba1ef82 | 528 | lea -320(%rbp,$num,2),%rbp # future alloca(frame+2*num*8+256) |
| ec9cc70f AP |
529 | sub %r10,%r11 |
| 530 | mov \$0,%r10 | |
| 531 | cmovc %r10,%r11 | |
| 3ba1ef82 | 532 | sub %r11,%rbp |
| ec9cc70f | 533 | .Lmul4xsp_done: |
| 3ba1ef82 AP |
534 | and \$-64,%rbp |
| 535 | mov %rsp,%r11 | |
| 536 | sub %rbp,%r11 | |
| adc4f1fc | 537 | and \$-4096,%r11 |
| 3ba1ef82 AP |
538 | lea (%rbp,%r11),%rsp |
| 539 | mov (%rsp),%r10 | |
| 540 | cmp %rbp,%rsp | |
| 541 | ja .Lmul4x_page_walk | |
| 542 | jmp .Lmul4x_page_walk_done | |
| 543 | ||
| adc4f1fc | 544 | .Lmul4x_page_walk: |
| 3ba1ef82 AP |
545 | lea -4096(%rsp),%rsp |
| 546 | mov (%rsp),%r10 | |
| 547 | cmp %rbp,%rsp | |
| 548 | ja .Lmul4x_page_walk | |
| 549 | .Lmul4x_page_walk_done: | |
| adc4f1fc | 550 | |
| ec9cc70f AP |
551 | neg $num |
| 552 | ||
| 553 | mov %rax,40(%rsp) | |
| 76e624a0 | 554 | .cfi_cfa_expression %rsp+40,deref,+8 |
| 361512da | 555 | .Lmul4x_body: |
| ec9cc70f AP |
556 | |
| 557 | call mul4x_internal | |
| 558 | ||
| 559 | mov 40(%rsp),%rsi # restore %rsp | |
| 76e624a0 | 560 | .cfi_def_cfa %rsi,8 |
| ec9cc70f | 561 | mov \$1,%rax |
| 8fc8f486 | 562 | |
| ec9cc70f | 563 | mov -48(%rsi),%r15 |
| 76e624a0 | 564 | .cfi_restore %r15 |
| ec9cc70f | 565 | mov -40(%rsi),%r14 |
| 76e624a0 | 566 | .cfi_restore %r14 |
| ec9cc70f | 567 | mov -32(%rsi),%r13 |
| 76e624a0 | 568 | .cfi_restore %r13 |
| ec9cc70f | 569 | mov -24(%rsi),%r12 |
| 76e624a0 | 570 | .cfi_restore %r12 |
| ec9cc70f | 571 | mov -16(%rsi),%rbp |
| 76e624a0 | 572 | .cfi_restore %rbp |
| ec9cc70f | 573 | mov -8(%rsi),%rbx |
| 76e624a0 | 574 | .cfi_restore %rbx |
| ec9cc70f | 575 | lea (%rsi),%rsp |
| 76e624a0 | 576 | .cfi_def_cfa_register %rsp |
| ec9cc70f AP |
577 | .Lmul4x_epilogue: |
| 578 | ret | |
| 76e624a0 | 579 | .cfi_endproc |
| ec9cc70f AP |
580 | .size bn_mul4x_mont_gather5,.-bn_mul4x_mont_gather5 |
| 581 | ||
| 582 | .type mul4x_internal,\@abi-omnipotent | |
| 583 | .align 32 | |
| 584 | mul4x_internal: | |
| 0190c52a | 585 | .cfi_startproc |
| 8fc8f486 AP |
586 | shl \$5,$num # $num was in bytes |
| 587 | movd `($win64?56:8)`(%rax),%xmm5 # load 7th argument, index | |
| 588 | lea .Linc(%rip),%rax | |
| 589 | lea 128(%rdx,$num),%r13 # end of powers table (+size optimization) | |
| ec9cc70f | 590 | shr \$5,$num # restore $num |
| 361512da AP |
591 | ___ |
| 592 | $bp="%r12"; | |
| 593 | $STRIDE=2**5*8; # 5 is "window size" | |
| 594 | $N=$STRIDE/4; # should match cache line size | |
| ec9cc70f | 595 | $tp=$i; |
| 361512da | 596 | $code.=<<___; |
| 8fc8f486 AP |
597 | movdqa 0(%rax),%xmm0 # 00000001000000010000000000000000 |
| 598 | movdqa 16(%rax),%xmm1 # 00000002000000020000000200000002 | |
| 599 | lea 88-112(%rsp,$num),%r10 # place the mask after tp[num+1] (+ICache optimization) | |
| 600 | lea 128(%rdx),$bp # size optimization | |
| 601 | ||
| 602 | pshufd \$0,%xmm5,%xmm5 # broadcast index | |
| 603 | movdqa %xmm1,%xmm4 | |
| 604 | .byte 0x67,0x67 | |
| 605 | movdqa %xmm1,%xmm2 | |
| 606 | ___ | |
| 607 | ######################################################################## | |
| 608 | # calculate mask by comparing 0..31 to index and save result to stack | |
| 609 | # | |
| 610 | $code.=<<___; | |
| 611 | paddd %xmm0,%xmm1 | |
| 612 | pcmpeqd %xmm5,%xmm0 # compare to 1,0 | |
| ec9cc70f | 613 | .byte 0x67 |
| 8fc8f486 AP |
614 | movdqa %xmm4,%xmm3 |
| 615 | ___ | |
| 616 | for($i=0;$i<$STRIDE/16-4;$i+=4) { | |
| 617 | $code.=<<___; | |
| 618 | paddd %xmm1,%xmm2 | |
| 619 | pcmpeqd %xmm5,%xmm1 # compare to 3,2 | |
| 620 | movdqa %xmm0,`16*($i+0)+112`(%r10) | |
| 621 | movdqa %xmm4,%xmm0 | |
| 622 | ||
| 623 | paddd %xmm2,%xmm3 | |
| 624 | pcmpeqd %xmm5,%xmm2 # compare to 5,4 | |
| 625 | movdqa %xmm1,`16*($i+1)+112`(%r10) | |
| 626 | movdqa %xmm4,%xmm1 | |
| 627 | ||
| 628 | paddd %xmm3,%xmm0 | |
| 629 | pcmpeqd %xmm5,%xmm3 # compare to 7,6 | |
| 630 | movdqa %xmm2,`16*($i+2)+112`(%r10) | |
| 631 | movdqa %xmm4,%xmm2 | |
| 632 | ||
| 633 | paddd %xmm0,%xmm1 | |
| 634 | pcmpeqd %xmm5,%xmm0 | |
| 635 | movdqa %xmm3,`16*($i+3)+112`(%r10) | |
| 636 | movdqa %xmm4,%xmm3 | |
| 637 | ___ | |
| 638 | } | |
| 639 | $code.=<<___; # last iteration can be optimized | |
| 640 | paddd %xmm1,%xmm2 | |
| 641 | pcmpeqd %xmm5,%xmm1 | |
| 642 | movdqa %xmm0,`16*($i+0)+112`(%r10) | |
| 643 | ||
| 644 | paddd %xmm2,%xmm3 | |
| ec9cc70f | 645 | .byte 0x67 |
| 8fc8f486 AP |
646 | pcmpeqd %xmm5,%xmm2 |
| 647 | movdqa %xmm1,`16*($i+1)+112`(%r10) | |
| 361512da | 648 | |
| 8fc8f486 AP |
649 | pcmpeqd %xmm5,%xmm3 |
| 650 | movdqa %xmm2,`16*($i+2)+112`(%r10) | |
| 651 | pand `16*($i+0)-128`($bp),%xmm0 # while it's still in register | |
| 652 | ||
| 653 | pand `16*($i+1)-128`($bp),%xmm1 | |
| 654 | pand `16*($i+2)-128`($bp),%xmm2 | |
| 655 | movdqa %xmm3,`16*($i+3)+112`(%r10) | |
| 656 | pand `16*($i+3)-128`($bp),%xmm3 | |
| 657 | por %xmm2,%xmm0 | |
| 658 | por %xmm3,%xmm1 | |
| 659 | ___ | |
| 660 | for($i=0;$i<$STRIDE/16-4;$i+=4) { | |
| 661 | $code.=<<___; | |
| 662 | movdqa `16*($i+0)-128`($bp),%xmm4 | |
| 663 | movdqa `16*($i+1)-128`($bp),%xmm5 | |
| 664 | movdqa `16*($i+2)-128`($bp),%xmm2 | |
| 665 | pand `16*($i+0)+112`(%r10),%xmm4 | |
| 666 | movdqa `16*($i+3)-128`($bp),%xmm3 | |
| 667 | pand `16*($i+1)+112`(%r10),%xmm5 | |
| 668 | por %xmm4,%xmm0 | |
| 669 | pand `16*($i+2)+112`(%r10),%xmm2 | |
| 670 | por %xmm5,%xmm1 | |
| 671 | pand `16*($i+3)+112`(%r10),%xmm3 | |
| 672 | por %xmm2,%xmm0 | |
| 673 | por %xmm3,%xmm1 | |
| 674 | ___ | |
| 675 | } | |
| 676 | $code.=<<___; | |
| 677 | por %xmm1,%xmm0 | |
| 678 | pshufd \$0x4e,%xmm0,%xmm1 | |
| 679 | por %xmm1,%xmm0 | |
| 680 | lea $STRIDE($bp),$bp | |
| 361512da | 681 | movq %xmm0,$m0 # m0=bp[0] |
| 8fc8f486 | 682 | |
| ec9cc70f AP |
683 | mov %r13,16+8(%rsp) # save end of b[num] |
| 684 | mov $rp, 56+8(%rsp) # save $rp | |
| 685 | ||
| 361512da AP |
686 | mov ($n0),$n0 # pull n0[0] value |
| 687 | mov ($ap),%rax | |
| ec9cc70f AP |
688 | lea ($ap,$num),$ap # end of a[num] |
| 689 | neg $num | |
| 361512da AP |
690 | |
| 691 | mov $n0,$m1 | |
| 692 | mulq $m0 # ap[0]*bp[0] | |
| 693 | mov %rax,$A[0] | |
| 694 | mov ($np),%rax | |
| 695 | ||
| 361512da | 696 | imulq $A[0],$m1 # "tp[0]"*n0 |
| 8fc8f486 | 697 | lea 64+8(%rsp),$tp |
| 361512da AP |
698 | mov %rdx,$A[1] |
| 699 | ||
| 361512da AP |
700 | mulq $m1 # np[0]*m1 |
| 701 | add %rax,$A[0] # discarded | |
| ec9cc70f | 702 | mov 8($ap,$num),%rax |
| 361512da AP |
703 | adc \$0,%rdx |
| 704 | mov %rdx,$N[1] | |
| 705 | ||
| 706 | mulq $m0 | |
| 707 | add %rax,$A[1] | |
| 8fc8f486 | 708 | mov 8*1($np),%rax |
| 361512da AP |
709 | adc \$0,%rdx |
| 710 | mov %rdx,$A[0] | |
| 711 | ||
| 712 | mulq $m1 | |
| 713 | add %rax,$N[1] | |
| ec9cc70f | 714 | mov 16($ap,$num),%rax |
| 361512da AP |
715 | adc \$0,%rdx |
| 716 | add $A[1],$N[1] | |
| ec9cc70f | 717 | lea 4*8($num),$j # j=4 |
| 8fc8f486 | 718 | lea 8*4($np),$np |
| 361512da | 719 | adc \$0,%rdx |
| ec9cc70f | 720 | mov $N[1],($tp) |
| 361512da AP |
721 | mov %rdx,$N[0] |
| 722 | jmp .L1st4x | |
| ec9cc70f AP |
723 | |
| 724 | .align 32 | |
| 361512da AP |
725 | .L1st4x: |
| 726 | mulq $m0 # ap[j]*bp[0] | |
| 727 | add %rax,$A[0] | |
| 8fc8f486 | 728 | mov -8*2($np),%rax |
| ec9cc70f | 729 | lea 32($tp),$tp |
| 361512da AP |
730 | adc \$0,%rdx |
| 731 | mov %rdx,$A[1] | |
| 732 | ||
| 733 | mulq $m1 # np[j]*m1 | |
| 734 | add %rax,$N[0] | |
| ec9cc70f | 735 | mov -8($ap,$j),%rax |
| 361512da AP |
736 | adc \$0,%rdx |
| 737 | add $A[0],$N[0] # np[j]*m1+ap[j]*bp[0] | |
| 738 | adc \$0,%rdx | |
| ec9cc70f | 739 | mov $N[0],-24($tp) # tp[j-1] |
| 361512da AP |
740 | mov %rdx,$N[1] |
| 741 | ||
| 742 | mulq $m0 # ap[j]*bp[0] | |
| 743 | add %rax,$A[1] | |
| 8fc8f486 | 744 | mov -8*1($np),%rax |
| 361512da AP |
745 | adc \$0,%rdx |
| 746 | mov %rdx,$A[0] | |
| 747 | ||
| 748 | mulq $m1 # np[j]*m1 | |
| 749 | add %rax,$N[1] | |
| ec9cc70f | 750 | mov ($ap,$j),%rax |
| 361512da AP |
751 | adc \$0,%rdx |
| 752 | add $A[1],$N[1] # np[j]*m1+ap[j]*bp[0] | |
| 753 | adc \$0,%rdx | |
| ec9cc70f | 754 | mov $N[1],-16($tp) # tp[j-1] |
| 361512da AP |
755 | mov %rdx,$N[0] |
| 756 | ||
| 757 | mulq $m0 # ap[j]*bp[0] | |
| 758 | add %rax,$A[0] | |
| 8fc8f486 | 759 | mov 8*0($np),%rax |
| 361512da AP |
760 | adc \$0,%rdx |
| 761 | mov %rdx,$A[1] | |
| 762 | ||
| 763 | mulq $m1 # np[j]*m1 | |
| 764 | add %rax,$N[0] | |
| ec9cc70f | 765 | mov 8($ap,$j),%rax |
| 361512da AP |
766 | adc \$0,%rdx |
| 767 | add $A[0],$N[0] # np[j]*m1+ap[j]*bp[0] | |
| 768 | adc \$0,%rdx | |
| ec9cc70f | 769 | mov $N[0],-8($tp) # tp[j-1] |
| 361512da AP |
770 | mov %rdx,$N[1] |
| 771 | ||
| 772 | mulq $m0 # ap[j]*bp[0] | |
| 773 | add %rax,$A[1] | |
| 8fc8f486 | 774 | mov 8*1($np),%rax |
| 361512da | 775 | adc \$0,%rdx |
| 361512da AP |
776 | mov %rdx,$A[0] |
| 777 | ||
| 778 | mulq $m1 # np[j]*m1 | |
| 779 | add %rax,$N[1] | |
| ec9cc70f | 780 | mov 16($ap,$j),%rax |
| 361512da AP |
781 | adc \$0,%rdx |
| 782 | add $A[1],$N[1] # np[j]*m1+ap[j]*bp[0] | |
| 8fc8f486 | 783 | lea 8*4($np),$np |
| 361512da | 784 | adc \$0,%rdx |
| ec9cc70f | 785 | mov $N[1],($tp) # tp[j-1] |
| 361512da | 786 | mov %rdx,$N[0] |
| ec9cc70f AP |
787 | |
| 788 | add \$32,$j # j+=4 | |
| 789 | jnz .L1st4x | |
| 361512da AP |
790 | |
| 791 | mulq $m0 # ap[j]*bp[0] | |
| 792 | add %rax,$A[0] | |
| 8fc8f486 | 793 | mov -8*2($np),%rax |
| ec9cc70f | 794 | lea 32($tp),$tp |
| 361512da AP |
795 | adc \$0,%rdx |
| 796 | mov %rdx,$A[1] | |
| 797 | ||
| 798 | mulq $m1 # np[j]*m1 | |
| 799 | add %rax,$N[0] | |
| ec9cc70f | 800 | mov -8($ap),%rax |
| 361512da AP |
801 | adc \$0,%rdx |
| 802 | add $A[0],$N[0] # np[j]*m1+ap[j]*bp[0] | |
| 803 | adc \$0,%rdx | |
| ec9cc70f | 804 | mov $N[0],-24($tp) # tp[j-1] |
| 361512da AP |
805 | mov %rdx,$N[1] |
| 806 | ||
| 807 | mulq $m0 # ap[j]*bp[0] | |
| 808 | add %rax,$A[1] | |
| 8fc8f486 | 809 | mov -8*1($np),%rax |
| 361512da AP |
810 | adc \$0,%rdx |
| 811 | mov %rdx,$A[0] | |
| 812 | ||
| 813 | mulq $m1 # np[j]*m1 | |
| 814 | add %rax,$N[1] | |
| ec9cc70f | 815 | mov ($ap,$num),%rax # ap[0] |
| 361512da AP |
816 | adc \$0,%rdx |
| 817 | add $A[1],$N[1] # np[j]*m1+ap[j]*bp[0] | |
| 818 | adc \$0,%rdx | |
| ec9cc70f | 819 | mov $N[1],-16($tp) # tp[j-1] |
| 361512da AP |
820 | mov %rdx,$N[0] |
| 821 | ||
| 8fc8f486 | 822 | lea ($np,$num),$np # rewind $np |
| 361512da AP |
823 | |
| 824 | xor $N[1],$N[1] | |
| 825 | add $A[0],$N[0] | |
| 826 | adc \$0,$N[1] | |
| ec9cc70f | 827 | mov $N[0],-8($tp) |
| 361512da | 828 | |
| ec9cc70f | 829 | jmp .Louter4x |
| 361512da | 830 | |
| ec9cc70f AP |
831 | .align 32 |
| 832 | .Louter4x: | |
| 8fc8f486 AP |
833 | lea 16+128($tp),%rdx # where 256-byte mask is (+size optimization) |
| 834 | pxor %xmm4,%xmm4 | |
| 835 | pxor %xmm5,%xmm5 | |
| 836 | ___ | |
| 837 | for($i=0;$i<$STRIDE/16;$i+=4) { | |
| 838 | $code.=<<___; | |
| 839 | movdqa `16*($i+0)-128`($bp),%xmm0 | |
| 840 | movdqa `16*($i+1)-128`($bp),%xmm1 | |
| 841 | movdqa `16*($i+2)-128`($bp),%xmm2 | |
| 842 | movdqa `16*($i+3)-128`($bp),%xmm3 | |
| 843 | pand `16*($i+0)-128`(%rdx),%xmm0 | |
| 844 | pand `16*($i+1)-128`(%rdx),%xmm1 | |
| 845 | por %xmm0,%xmm4 | |
| 846 | pand `16*($i+2)-128`(%rdx),%xmm2 | |
| 847 | por %xmm1,%xmm5 | |
| 848 | pand `16*($i+3)-128`(%rdx),%xmm3 | |
| 849 | por %xmm2,%xmm4 | |
| 850 | por %xmm3,%xmm5 | |
| 851 | ___ | |
| 852 | } | |
| 853 | $code.=<<___; | |
| 854 | por %xmm5,%xmm4 | |
| 855 | pshufd \$0x4e,%xmm4,%xmm0 | |
| 856 | por %xmm4,%xmm0 | |
| 857 | lea $STRIDE($bp),$bp | |
| 858 | movq %xmm0,$m0 # m0=bp[i] | |
| 859 | ||
| ec9cc70f | 860 | mov ($tp,$num),$A[0] |
| 361512da AP |
861 | mov $n0,$m1 |
| 862 | mulq $m0 # ap[0]*bp[i] | |
| 863 | add %rax,$A[0] # ap[0]*bp[i]+tp[0] | |
| 864 | mov ($np),%rax | |
| 865 | adc \$0,%rdx | |
| 866 | ||
| 361512da AP |
867 | imulq $A[0],$m1 # tp[0]*n0 |
| 868 | mov %rdx,$A[1] | |
| ec9cc70f | 869 | mov $N[1],($tp) # store upmost overflow bit |
| 361512da | 870 | |
| ec9cc70f | 871 | lea ($tp,$num),$tp # rewind $tp |
| 361512da AP |
872 | |
| 873 | mulq $m1 # np[0]*m1 | |
| 874 | add %rax,$A[0] # "$N[0]", discarded | |
| ec9cc70f | 875 | mov 8($ap,$num),%rax |
| 361512da AP |
876 | adc \$0,%rdx |
| 877 | mov %rdx,$N[1] | |
| 878 | ||
| 879 | mulq $m0 # ap[j]*bp[i] | |
| 880 | add %rax,$A[1] | |
| 8fc8f486 | 881 | mov 8*1($np),%rax |
| 361512da | 882 | adc \$0,%rdx |
| ec9cc70f | 883 | add 8($tp),$A[1] # +tp[1] |
| 361512da AP |
884 | adc \$0,%rdx |
| 885 | mov %rdx,$A[0] | |
| 886 | ||
| 887 | mulq $m1 # np[j]*m1 | |
| 888 | add %rax,$N[1] | |
| ec9cc70f | 889 | mov 16($ap,$num),%rax |
| 361512da AP |
890 | adc \$0,%rdx |
| 891 | add $A[1],$N[1] # np[j]*m1+ap[j]*bp[i]+tp[j] | |
| ec9cc70f | 892 | lea 4*8($num),$j # j=4 |
| 8fc8f486 | 893 | lea 8*4($np),$np |
| 361512da | 894 | adc \$0,%rdx |
| 361512da AP |
895 | mov %rdx,$N[0] |
| 896 | jmp .Linner4x | |
| ec9cc70f AP |
897 | |
| 898 | .align 32 | |
| 361512da AP |
899 | .Linner4x: |
| 900 | mulq $m0 # ap[j]*bp[i] | |
| 901 | add %rax,$A[0] | |
| 8fc8f486 | 902 | mov -8*2($np),%rax |
| 361512da | 903 | adc \$0,%rdx |
| ec9cc70f AP |
904 | add 16($tp),$A[0] # ap[j]*bp[i]+tp[j] |
| 905 | lea 32($tp),$tp | |
| 361512da AP |
906 | adc \$0,%rdx |
| 907 | mov %rdx,$A[1] | |
| 908 | ||
| 909 | mulq $m1 # np[j]*m1 | |
| 910 | add %rax,$N[0] | |
| ec9cc70f | 911 | mov -8($ap,$j),%rax |
| 361512da AP |
912 | adc \$0,%rdx |
| 913 | add $A[0],$N[0] | |
| 914 | adc \$0,%rdx | |
| ec9cc70f | 915 | mov $N[1],-32($tp) # tp[j-1] |
| 361512da AP |
916 | mov %rdx,$N[1] |
| 917 | ||
| 918 | mulq $m0 # ap[j]*bp[i] | |
| 919 | add %rax,$A[1] | |
| 8fc8f486 | 920 | mov -8*1($np),%rax |
| 361512da | 921 | adc \$0,%rdx |
| ec9cc70f | 922 | add -8($tp),$A[1] |
| 361512da AP |
923 | adc \$0,%rdx |
| 924 | mov %rdx,$A[0] | |
| 925 | ||
| 926 | mulq $m1 # np[j]*m1 | |
| 927 | add %rax,$N[1] | |
| ec9cc70f | 928 | mov ($ap,$j),%rax |
| 361512da AP |
929 | adc \$0,%rdx |
| 930 | add $A[1],$N[1] | |
| 931 | adc \$0,%rdx | |
| ec9cc70f | 932 | mov $N[0],-24($tp) # tp[j-1] |
| 361512da AP |
933 | mov %rdx,$N[0] |
| 934 | ||
| 935 | mulq $m0 # ap[j]*bp[i] | |
| 936 | add %rax,$A[0] | |
| 8fc8f486 | 937 | mov 8*0($np),%rax |
| 361512da | 938 | adc \$0,%rdx |
| ec9cc70f | 939 | add ($tp),$A[0] # ap[j]*bp[i]+tp[j] |
| 361512da AP |
940 | adc \$0,%rdx |
| 941 | mov %rdx,$A[1] | |
| 942 | ||
| 943 | mulq $m1 # np[j]*m1 | |
| 944 | add %rax,$N[0] | |
| ec9cc70f | 945 | mov 8($ap,$j),%rax |
| 361512da AP |
946 | adc \$0,%rdx |
| 947 | add $A[0],$N[0] | |
| 948 | adc \$0,%rdx | |
| ec9cc70f | 949 | mov $N[1],-16($tp) # tp[j-1] |
| 361512da AP |
950 | mov %rdx,$N[1] |
| 951 | ||
| 952 | mulq $m0 # ap[j]*bp[i] | |
| 953 | add %rax,$A[1] | |
| 8fc8f486 | 954 | mov 8*1($np),%rax |
| 361512da | 955 | adc \$0,%rdx |
| ec9cc70f | 956 | add 8($tp),$A[1] |
| 361512da | 957 | adc \$0,%rdx |
| 361512da AP |
958 | mov %rdx,$A[0] |
| 959 | ||
| 960 | mulq $m1 # np[j]*m1 | |
| 961 | add %rax,$N[1] | |
| ec9cc70f | 962 | mov 16($ap,$j),%rax |
| 361512da AP |
963 | adc \$0,%rdx |
| 964 | add $A[1],$N[1] | |
| 8fc8f486 | 965 | lea 8*4($np),$np |
| 361512da | 966 | adc \$0,%rdx |
| ec9cc70f | 967 | mov $N[0],-8($tp) # tp[j-1] |
| 361512da | 968 | mov %rdx,$N[0] |
| ec9cc70f AP |
969 | |
| 970 | add \$32,$j # j+=4 | |
| 971 | jnz .Linner4x | |
| 361512da AP |
972 | |
| 973 | mulq $m0 # ap[j]*bp[i] | |
| 974 | add %rax,$A[0] | |
| 8fc8f486 | 975 | mov -8*2($np),%rax |
| 361512da | 976 | adc \$0,%rdx |
| ec9cc70f AP |
977 | add 16($tp),$A[0] # ap[j]*bp[i]+tp[j] |
| 978 | lea 32($tp),$tp | |
| 361512da AP |
979 | adc \$0,%rdx |
| 980 | mov %rdx,$A[1] | |
| 981 | ||
| 982 | mulq $m1 # np[j]*m1 | |
| 983 | add %rax,$N[0] | |
| ec9cc70f | 984 | mov -8($ap),%rax |
| 361512da AP |
985 | adc \$0,%rdx |
| 986 | add $A[0],$N[0] | |
| 987 | adc \$0,%rdx | |
| ec9cc70f | 988 | mov $N[1],-32($tp) # tp[j-1] |
| 361512da AP |
989 | mov %rdx,$N[1] |
| 990 | ||
| 991 | mulq $m0 # ap[j]*bp[i] | |
| 992 | add %rax,$A[1] | |
| ec9cc70f | 993 | mov $m1,%rax |
| 8fc8f486 | 994 | mov -8*1($np),$m1 |
| 361512da | 995 | adc \$0,%rdx |
| ec9cc70f | 996 | add -8($tp),$A[1] |
| 361512da | 997 | adc \$0,%rdx |
| 361512da AP |
998 | mov %rdx,$A[0] |
| 999 | ||
| 1000 | mulq $m1 # np[j]*m1 | |
| 1001 | add %rax,$N[1] | |
| ec9cc70f | 1002 | mov ($ap,$num),%rax # ap[0] |
| 361512da AP |
1003 | adc \$0,%rdx |
| 1004 | add $A[1],$N[1] | |
| 1005 | adc \$0,%rdx | |
| ec9cc70f | 1006 | mov $N[0],-24($tp) # tp[j-1] |
| 361512da AP |
1007 | mov %rdx,$N[0] |
| 1008 | ||
| ec9cc70f | 1009 | mov $N[1],-16($tp) # tp[j-1] |
| 8fc8f486 | 1010 | lea ($np,$num),$np # rewind $np |
| 361512da AP |
1011 | |
| 1012 | xor $N[1],$N[1] | |
| 1013 | add $A[0],$N[0] | |
| 1014 | adc \$0,$N[1] | |
| ec9cc70f AP |
1015 | add ($tp),$N[0] # pull upmost overflow bit |
| 1016 | adc \$0,$N[1] # upmost overflow bit | |
| 1017 | mov $N[0],-8($tp) | |
| 361512da | 1018 | |
| ec9cc70f AP |
1019 | cmp 16+8(%rsp),$bp |
| 1020 | jb .Louter4x | |
| 361512da | 1021 | ___ |
| ec9cc70f | 1022 | if (1) { |
| 361512da | 1023 | $code.=<<___; |
| 8fc8f486 | 1024 | xor %rax,%rax |
| ec9cc70f AP |
1025 | sub $N[0],$m1 # compare top-most words |
| 1026 | adc $j,$j # $j is zero | |
| 1027 | or $j,$N[1] | |
| 8fc8f486 | 1028 | sub $N[1],%rax # %rax=-$N[1] |
| ec9cc70f | 1029 | lea ($tp,$num),%rbx # tptr in .sqr4x_sub |
| 8fc8f486 AP |
1030 | mov ($np),%r12 |
| 1031 | lea ($np),%rbp # nptr in .sqr4x_sub | |
| ec9cc70f | 1032 | mov %r9,%rcx |
| 8fc8f486 | 1033 | sar \$3+2,%rcx |
| ec9cc70f | 1034 | mov 56+8(%rsp),%rdi # rptr in .sqr4x_sub |
| 8fc8f486 AP |
1035 | dec %r12 # so that after 'not' we get -n[0] |
| 1036 | xor %r10,%r10 | |
| 1037 | mov 8*1(%rbp),%r13 | |
| 1038 | mov 8*2(%rbp),%r14 | |
| 1039 | mov 8*3(%rbp),%r15 | |
| 1040 | jmp .Lsqr4x_sub_entry | |
| ec9cc70f AP |
1041 | ___ |
| 1042 | } else { | |
| 1043 | my @ri=("%rax",$bp,$m0,$m1); | |
| 1044 | my $rp="%rdx"; | |
| 1045 | $code.=<<___ | |
| 1046 | xor \$1,$N[1] | |
| 1047 | lea ($tp,$num),$tp # rewind $tp | |
| 1048 | sar \$5,$num # cf=0 | |
| 1049 | lea ($np,$N[1],8),$np | |
| 1050 | mov 56+8(%rsp),$rp # restore $rp | |
| 361512da | 1051 | jmp .Lsub4x |
| ec9cc70f AP |
1052 | |
| 1053 | .align 32 | |
| 361512da | 1054 | .Lsub4x: |
| ec9cc70f AP |
1055 | .byte 0x66 |
| 1056 | mov 8*0($tp),@ri[0] | |
| 1057 | mov 8*1($tp),@ri[1] | |
| 1058 | .byte 0x66 | |
| 1059 | sbb 16*0($np),@ri[0] | |
| 1060 | mov 8*2($tp),@ri[2] | |
| 1061 | sbb 16*1($np),@ri[1] | |
| 1062 | mov 3*8($tp),@ri[3] | |
| 1063 | lea 4*8($tp),$tp | |
| 1064 | sbb 16*2($np),@ri[2] | |
| 1065 | mov @ri[0],8*0($rp) | |
| 1066 | sbb 16*3($np),@ri[3] | |
| 1067 | lea 16*4($np),$np | |
| 1068 | mov @ri[1],8*1($rp) | |
| 1069 | mov @ri[2],8*2($rp) | |
| 1070 | mov @ri[3],8*3($rp) | |
| 1071 | lea 8*4($rp),$rp | |
| 1072 | ||
| 1073 | inc $num | |
| 361512da AP |
1074 | jnz .Lsub4x |
| 1075 | ||
| ec9cc70f | 1076 | ret |
| 361512da AP |
1077 | ___ |
| 1078 | } | |
| 1079 | $code.=<<___; | |
| 0190c52a | 1080 | .cfi_endproc |
| ec9cc70f | 1081 | .size mul4x_internal,.-mul4x_internal |
| 361512da AP |
1082 | ___ |
| 1083 | }}} | |
| ec9cc70f AP |
1084 | \f{{{ |
| 1085 | ###################################################################### | |
| 1086 | # void bn_power5( | |
| 1087 | my $rptr="%rdi"; # BN_ULONG *rptr, | |
| 1088 | my $aptr="%rsi"; # const BN_ULONG *aptr, | |
| 1089 | my $bptr="%rdx"; # const void *table, | |
| 1090 | my $nptr="%rcx"; # const BN_ULONG *nptr, | |
| 1091 | my $n0 ="%r8"; # const BN_ULONG *n0); | |
| 1092 | my $num ="%r9"; # int num, has to be divisible by 8 | |
| 609b0852 | 1093 | # int pwr |
| ec9cc70f AP |
1094 | |
| 1095 | my ($i,$j,$tptr)=("%rbp","%rcx",$rptr); | |
| 1096 | my @A0=("%r10","%r11"); | |
| 1097 | my @A1=("%r12","%r13"); | |
| 1098 | my ($a0,$a1,$ai)=("%r14","%r15","%rbx"); | |
| a5bb5bca AP |
1099 | |
| 1100 | $code.=<<___; | |
| ec9cc70f AP |
1101 | .globl bn_power5 |
| 1102 | .type bn_power5,\@function,6 | |
| a5bb5bca | 1103 | .align 32 |
| ec9cc70f | 1104 | bn_power5: |
| 76e624a0 | 1105 | .cfi_startproc |
| 3ba1ef82 | 1106 | mov %rsp,%rax |
| 76e624a0 | 1107 | .cfi_def_cfa_register %rax |
| ec9cc70f AP |
1108 | ___ |
| 1109 | $code.=<<___ if ($addx); | |
| 1110 | mov OPENSSL_ia32cap_P+8(%rip),%r11d | |
| 8fc8f486 AP |
1111 | and \$0x80108,%r11d |
| 1112 | cmp \$0x80108,%r11d # check for AD*X+BMI2+BMI1 | |
| ec9cc70f AP |
1113 | je .Lpowerx5_enter |
| 1114 | ___ | |
| 1115 | $code.=<<___; | |
| a5bb5bca | 1116 | push %rbx |
| 76e624a0 | 1117 | .cfi_push %rbx |
| a5bb5bca | 1118 | push %rbp |
| 76e624a0 | 1119 | .cfi_push %rbp |
| a5bb5bca | 1120 | push %r12 |
| 76e624a0 | 1121 | .cfi_push %r12 |
| a5bb5bca | 1122 | push %r13 |
| 76e624a0 | 1123 | .cfi_push %r13 |
| a5bb5bca | 1124 | push %r14 |
| 76e624a0 | 1125 | .cfi_push %r14 |
| a5bb5bca | 1126 | push %r15 |
| 76e624a0 | 1127 | .cfi_push %r15 |
| 3ba1ef82 | 1128 | .Lpower5_prologue: |
| 8fc8f486 | 1129 | |
| a5bb5bca | 1130 | shl \$3,${num}d # convert $num to bytes |
| 8fc8f486 | 1131 | lea ($num,$num,2),%r10d # 3*$num |
| ec9cc70f | 1132 | neg $num |
| a5bb5bca | 1133 | mov ($n0),$n0 # *n0 |
| ec9cc70f AP |
1134 | |
| 1135 | ############################################################## | |
| 8fc8f486 AP |
1136 | # Ensure that stack frame doesn't alias with $rptr+3*$num |
| 1137 | # modulo 4096, which covers ret[num], am[num] and n[num] | |
| 1138 | # (see bn_exp.c). This is done to allow memory disambiguation | |
| 1139 | # logic do its magic. [Extra 256 bytes is for power mask | |
| 1140 | # calculated from 7th argument, the index.] | |
| ec9cc70f | 1141 | # |
| 8fc8f486 | 1142 | lea -320(%rsp,$num,2),%r11 |
| 3ba1ef82 | 1143 | mov %rsp,%rbp |
| 8fc8f486 | 1144 | sub $rptr,%r11 |
| ec9cc70f AP |
1145 | and \$4095,%r11 |
| 1146 | cmp %r11,%r10 | |
| 1147 | jb .Lpwr_sp_alt | |
| 3ba1ef82 AP |
1148 | sub %r11,%rbp # align with $aptr |
| 1149 | lea -320(%rbp,$num,2),%rbp # future alloca(frame+2*num*8+256) | |
| ec9cc70f AP |
1150 | jmp .Lpwr_sp_done |
| 1151 | ||
| 1152 | .align 32 | |
| 1153 | .Lpwr_sp_alt: | |
| 8fc8f486 | 1154 | lea 4096-320(,$num,2),%r10 |
| 3ba1ef82 | 1155 | lea -320(%rbp,$num,2),%rbp # future alloca(frame+2*num*8+256) |
| ec9cc70f AP |
1156 | sub %r10,%r11 |
| 1157 | mov \$0,%r10 | |
| 1158 | cmovc %r10,%r11 | |
| 3ba1ef82 | 1159 | sub %r11,%rbp |
| ec9cc70f | 1160 | .Lpwr_sp_done: |
| 3ba1ef82 AP |
1161 | and \$-64,%rbp |
| 1162 | mov %rsp,%r11 | |
| 1163 | sub %rbp,%r11 | |
| adc4f1fc | 1164 | and \$-4096,%r11 |
| 3ba1ef82 AP |
1165 | lea (%rbp,%r11),%rsp |
| 1166 | mov (%rsp),%r10 | |
| 1167 | cmp %rbp,%rsp | |
| 1168 | ja .Lpwr_page_walk | |
| 1169 | jmp .Lpwr_page_walk_done | |
| 1170 | ||
| adc4f1fc | 1171 | .Lpwr_page_walk: |
| 3ba1ef82 AP |
1172 | lea -4096(%rsp),%rsp |
| 1173 | mov (%rsp),%r10 | |
| 1174 | cmp %rbp,%rsp | |
| 1175 | ja .Lpwr_page_walk | |
| 1176 | .Lpwr_page_walk_done: | |
| adc4f1fc | 1177 | |
| 609b0852 | 1178 | mov $num,%r10 |
| ec9cc70f AP |
1179 | neg $num |
| 1180 | ||
| a5bb5bca AP |
1181 | ############################################################## |
| 1182 | # Stack layout | |
| a5bb5bca | 1183 | # |
| ec9cc70f AP |
1184 | # +0 saved $num, used in reduction section |
| 1185 | # +8 &t[2*$num], used in reduction section | |
| 1186 | # +32 saved *n0 | |
| 1187 | # +40 saved %rsp | |
| 1188 | # +48 t[2*$num] | |
| 1189 | # | |
| 1190 | mov $n0, 32(%rsp) | |
| 1191 | mov %rax, 40(%rsp) # save original %rsp | |
| 76e624a0 | 1192 | .cfi_cfa_expression %rsp+40,deref,+8 |
| ec9cc70f | 1193 | .Lpower5_body: |
| 8fc8f486 | 1194 | movq $rptr,%xmm1 # save $rptr, used in sqr8x |
| ec9cc70f | 1195 | movq $nptr,%xmm2 # save $nptr |
| 8fc8f486 | 1196 | movq %r10, %xmm3 # -$num, used in sqr8x |
| ec9cc70f AP |
1197 | movq $bptr,%xmm4 |
| 1198 | ||
| 1199 | call __bn_sqr8x_internal | |
| 317be638 | 1200 | call __bn_post4x_internal |
| ec9cc70f | 1201 | call __bn_sqr8x_internal |
| 317be638 | 1202 | call __bn_post4x_internal |
| ec9cc70f | 1203 | call __bn_sqr8x_internal |
| 317be638 | 1204 | call __bn_post4x_internal |
| ec9cc70f | 1205 | call __bn_sqr8x_internal |
| 317be638 | 1206 | call __bn_post4x_internal |
| ec9cc70f | 1207 | call __bn_sqr8x_internal |
| 317be638 | 1208 | call __bn_post4x_internal |
| ec9cc70f | 1209 | |
| eedab524 | 1210 | movq %xmm2,$nptr |
| ec9cc70f AP |
1211 | movq %xmm4,$bptr |
| 1212 | mov $aptr,$rptr | |
| 1213 | mov 40(%rsp),%rax | |
| 1214 | lea 32(%rsp),$n0 | |
| 1215 | ||
| 1216 | call mul4x_internal | |
| 1217 | ||
| 1218 | mov 40(%rsp),%rsi # restore %rsp | |
| 76e624a0 | 1219 | .cfi_def_cfa %rsi,8 |
| ec9cc70f AP |
1220 | mov \$1,%rax |
| 1221 | mov -48(%rsi),%r15 | |
| 76e624a0 | 1222 | .cfi_restore %r15 |
| ec9cc70f | 1223 | mov -40(%rsi),%r14 |
| 76e624a0 | 1224 | .cfi_restore %r14 |
| ec9cc70f | 1225 | mov -32(%rsi),%r13 |
| 76e624a0 | 1226 | .cfi_restore %r13 |
| ec9cc70f | 1227 | mov -24(%rsi),%r12 |
| 76e624a0 | 1228 | .cfi_restore %r12 |
| ec9cc70f | 1229 | mov -16(%rsi),%rbp |
| 76e624a0 | 1230 | .cfi_restore %rbp |
| ec9cc70f | 1231 | mov -8(%rsi),%rbx |
| 76e624a0 | 1232 | .cfi_restore %rbx |
| ec9cc70f | 1233 | lea (%rsi),%rsp |
| 76e624a0 | 1234 | .cfi_def_cfa_register %rsp |
| ec9cc70f AP |
1235 | .Lpower5_epilogue: |
| 1236 | ret | |
| 76e624a0 | 1237 | .cfi_endproc |
| ec9cc70f | 1238 | .size bn_power5,.-bn_power5 |
| a5bb5bca | 1239 | |
| ec9cc70f AP |
1240 | .globl bn_sqr8x_internal |
| 1241 | .hidden bn_sqr8x_internal | |
| 1242 | .type bn_sqr8x_internal,\@abi-omnipotent | |
| a5bb5bca | 1243 | .align 32 |
| ec9cc70f AP |
1244 | bn_sqr8x_internal: |
| 1245 | __bn_sqr8x_internal: | |
| 0190c52a | 1246 | .cfi_startproc |
| ec9cc70f AP |
1247 | ############################################################## |
| 1248 | # Squaring part: | |
| 1249 | # | |
| 1250 | # a) multiply-n-add everything but a[i]*a[i]; | |
| 1251 | # b) shift result of a) by 1 to the left and accumulate | |
| 1252 | # a[i]*a[i] products; | |
| 1253 | # | |
| 1254 | ############################################################## | |
| 1255 | # a[1]a[0] | |
| 1256 | # a[2]a[0] | |
| 1257 | # a[3]a[0] | |
| 1258 | # a[2]a[1] | |
| 1259 | # a[4]a[0] | |
| 1260 | # a[3]a[1] | |
| 1261 | # a[5]a[0] | |
| 1262 | # a[4]a[1] | |
| 1263 | # a[3]a[2] | |
| 1264 | # a[6]a[0] | |
| 1265 | # a[5]a[1] | |
| 1266 | # a[4]a[2] | |
| 1267 | # a[7]a[0] | |
| 1268 | # a[6]a[1] | |
| 1269 | # a[5]a[2] | |
| 1270 | # a[4]a[3] | |
| 1271 | # a[7]a[1] | |
| 1272 | # a[6]a[2] | |
| 1273 | # a[5]a[3] | |
| 1274 | # a[7]a[2] | |
| 1275 | # a[6]a[3] | |
| 1276 | # a[5]a[4] | |
| 1277 | # a[7]a[3] | |
| 1278 | # a[6]a[4] | |
| 1279 | # a[7]a[4] | |
| 1280 | # a[6]a[5] | |
| 1281 | # a[7]a[5] | |
| 1282 | # a[7]a[6] | |
| 1283 | # a[1]a[0] | |
| 1284 | # a[2]a[0] | |
| 1285 | # a[3]a[0] | |
| 1286 | # a[4]a[0] | |
| 1287 | # a[5]a[0] | |
| 1288 | # a[6]a[0] | |
| 1289 | # a[7]a[0] | |
| 1290 | # a[2]a[1] | |
| 1291 | # a[3]a[1] | |
| 1292 | # a[4]a[1] | |
| 1293 | # a[5]a[1] | |
| 1294 | # a[6]a[1] | |
| 1295 | # a[7]a[1] | |
| 1296 | # a[3]a[2] | |
| 1297 | # a[4]a[2] | |
| 1298 | # a[5]a[2] | |
| 1299 | # a[6]a[2] | |
| 1300 | # a[7]a[2] | |
| 1301 | # a[4]a[3] | |
| 1302 | # a[5]a[3] | |
| 1303 | # a[6]a[3] | |
| 1304 | # a[7]a[3] | |
| 1305 | # a[5]a[4] | |
| 1306 | # a[6]a[4] | |
| 1307 | # a[7]a[4] | |
| 1308 | # a[6]a[5] | |
| 1309 | # a[7]a[5] | |
| 1310 | # a[7]a[6] | |
| 1311 | # a[0]a[0] | |
| 1312 | # a[1]a[1] | |
| 1313 | # a[2]a[2] | |
| 1314 | # a[3]a[3] | |
| 1315 | # a[4]a[4] | |
| 1316 | # a[5]a[5] | |
| 1317 | # a[6]a[6] | |
| 1318 | # a[7]a[7] | |
| 1319 | ||
| 1320 | lea 32(%r10),$i # $i=-($num-32) | |
| 1321 | lea ($aptr,$num),$aptr # end of a[] buffer, ($aptr,$i)=&ap[2] | |
| 1322 | ||
| 1323 | mov $num,$j # $j=$num | |
| 1324 | ||
| 1325 | # comments apply to $num==8 case | |
| 1326 | mov -32($aptr,$i),$a0 # a[0] | |
| 1327 | lea 48+8(%rsp,$num,2),$tptr # end of tp[] buffer, &tp[2*$num] | |
| 1328 | mov -24($aptr,$i),%rax # a[1] | |
| 1329 | lea -32($tptr,$i),$tptr # end of tp[] window, &tp[2*$num-"$i"] | |
| 1330 | mov -16($aptr,$i),$ai # a[2] | |
| 1331 | mov %rax,$a1 | |
| 1332 | ||
| 1333 | mul $a0 # a[1]*a[0] | |
| 1334 | mov %rax,$A0[0] # a[1]*a[0] | |
| 1335 | mov $ai,%rax # a[2] | |
| 1336 | mov %rdx,$A0[1] | |
| 1337 | mov $A0[0],-24($tptr,$i) # t[1] | |
| 1338 | ||
| 1339 | mul $a0 # a[2]*a[0] | |
| 1340 | add %rax,$A0[1] | |
| 1341 | mov $ai,%rax | |
| 1342 | adc \$0,%rdx | |
| 1343 | mov $A0[1],-16($tptr,$i) # t[2] | |
| 1344 | mov %rdx,$A0[0] | |
| 1345 | ||
| 1346 | ||
| 1347 | mov -8($aptr,$i),$ai # a[3] | |
| 1348 | mul $a1 # a[2]*a[1] | |
| 1349 | mov %rax,$A1[0] # a[2]*a[1]+t[3] | |
| 1350 | mov $ai,%rax | |
| 1351 | mov %rdx,$A1[1] | |
| 1352 | ||
| 1353 | lea ($i),$j | |
| 1354 | mul $a0 # a[3]*a[0] | |
| 1355 | add %rax,$A0[0] # a[3]*a[0]+a[2]*a[1]+t[3] | |
| 1356 | mov $ai,%rax | |
| 1357 | mov %rdx,$A0[1] | |
| 1358 | adc \$0,$A0[1] | |
| 1359 | add $A1[0],$A0[0] | |
| 1360 | adc \$0,$A0[1] | |
| 1361 | mov $A0[0],-8($tptr,$j) # t[3] | |
| 1362 | jmp .Lsqr4x_1st | |
| 1363 | ||
| 1364 | .align 32 | |
| 1365 | .Lsqr4x_1st: | |
| 1366 | mov ($aptr,$j),$ai # a[4] | |
| 1367 | mul $a1 # a[3]*a[1] | |
| 1368 | add %rax,$A1[1] # a[3]*a[1]+t[4] | |
| 1369 | mov $ai,%rax | |
| 1370 | mov %rdx,$A1[0] | |
| 1371 | adc \$0,$A1[0] | |
| 1372 | ||
| 1373 | mul $a0 # a[4]*a[0] | |
| 1374 | add %rax,$A0[1] # a[4]*a[0]+a[3]*a[1]+t[4] | |
| 1375 | mov $ai,%rax # a[3] | |
| 1376 | mov 8($aptr,$j),$ai # a[5] | |
| 1377 | mov %rdx,$A0[0] | |
| 1378 | adc \$0,$A0[0] | |
| 1379 | add $A1[1],$A0[1] | |
| 1380 | adc \$0,$A0[0] | |
| 1381 | ||
| 1382 | ||
| 1383 | mul $a1 # a[4]*a[3] | |
| 1384 | add %rax,$A1[0] # a[4]*a[3]+t[5] | |
| 1385 | mov $ai,%rax | |
| 1386 | mov $A0[1],($tptr,$j) # t[4] | |
| 1387 | mov %rdx,$A1[1] | |
| 1388 | adc \$0,$A1[1] | |
| 1389 | ||
| 1390 | mul $a0 # a[5]*a[2] | |
| 1391 | add %rax,$A0[0] # a[5]*a[2]+a[4]*a[3]+t[5] | |
| 1392 | mov $ai,%rax | |
| 1393 | mov 16($aptr,$j),$ai # a[6] | |
| 1394 | mov %rdx,$A0[1] | |
| 1395 | adc \$0,$A0[1] | |
| 1396 | add $A1[0],$A0[0] | |
| 1397 | adc \$0,$A0[1] | |
| 1398 | ||
| 1399 | mul $a1 # a[5]*a[3] | |
| 1400 | add %rax,$A1[1] # a[5]*a[3]+t[6] | |
| 1401 | mov $ai,%rax | |
| 1402 | mov $A0[0],8($tptr,$j) # t[5] | |
| 1403 | mov %rdx,$A1[0] | |
| 1404 | adc \$0,$A1[0] | |
| 1405 | ||
| 1406 | mul $a0 # a[6]*a[2] | |
| 1407 | add %rax,$A0[1] # a[6]*a[2]+a[5]*a[3]+t[6] | |
| 1408 | mov $ai,%rax # a[3] | |
| 1409 | mov 24($aptr,$j),$ai # a[7] | |
| 1410 | mov %rdx,$A0[0] | |
| 1411 | adc \$0,$A0[0] | |
| 1412 | add $A1[1],$A0[1] | |
| 1413 | adc \$0,$A0[0] | |
| 1414 | ||
| 1415 | ||
| 1416 | mul $a1 # a[6]*a[5] | |
| 1417 | add %rax,$A1[0] # a[6]*a[5]+t[7] | |
| 1418 | mov $ai,%rax | |
| 1419 | mov $A0[1],16($tptr,$j) # t[6] | |
| 1420 | mov %rdx,$A1[1] | |
| 1421 | adc \$0,$A1[1] | |
| 1422 | lea 32($j),$j | |
| 1423 | ||
| 1424 | mul $a0 # a[7]*a[4] | |
| 1425 | add %rax,$A0[0] # a[7]*a[4]+a[6]*a[5]+t[6] | |
| 1426 | mov $ai,%rax | |
| 1427 | mov %rdx,$A0[1] | |
| 1428 | adc \$0,$A0[1] | |
| 1429 | add $A1[0],$A0[0] | |
| 1430 | adc \$0,$A0[1] | |
| 1431 | mov $A0[0],-8($tptr,$j) # t[7] | |
| 1432 | ||
| 1433 | cmp \$0,$j | |
| 1434 | jne .Lsqr4x_1st | |
| 1435 | ||
| 1436 | mul $a1 # a[7]*a[5] | |
| 1437 | add %rax,$A1[1] | |
| 1438 | lea 16($i),$i | |
| 1439 | adc \$0,%rdx | |
| 1440 | add $A0[1],$A1[1] | |
| 1441 | adc \$0,%rdx | |
| 1442 | ||
| 1443 | mov $A1[1],($tptr) # t[8] | |
| 1444 | mov %rdx,$A1[0] | |
| 1445 | mov %rdx,8($tptr) # t[9] | |
| 1446 | jmp .Lsqr4x_outer | |
| 1447 | ||
| 1448 | .align 32 | |
| 1449 | .Lsqr4x_outer: # comments apply to $num==6 case | |
| 1450 | mov -32($aptr,$i),$a0 # a[0] | |
| 1451 | lea 48+8(%rsp,$num,2),$tptr # end of tp[] buffer, &tp[2*$num] | |
| 1452 | mov -24($aptr,$i),%rax # a[1] | |
| 1453 | lea -32($tptr,$i),$tptr # end of tp[] window, &tp[2*$num-"$i"] | |
| 1454 | mov -16($aptr,$i),$ai # a[2] | |
| 1455 | mov %rax,$a1 | |
| 1456 | ||
| 1457 | mul $a0 # a[1]*a[0] | |
| 1458 | mov -24($tptr,$i),$A0[0] # t[1] | |
| 1459 | add %rax,$A0[0] # a[1]*a[0]+t[1] | |
| 1460 | mov $ai,%rax # a[2] | |
| 1461 | adc \$0,%rdx | |
| 1462 | mov $A0[0],-24($tptr,$i) # t[1] | |
| 1463 | mov %rdx,$A0[1] | |
| 1464 | ||
| 1465 | mul $a0 # a[2]*a[0] | |
| 1466 | add %rax,$A0[1] | |
| 1467 | mov $ai,%rax | |
| 1468 | adc \$0,%rdx | |
| 1469 | add -16($tptr,$i),$A0[1] # a[2]*a[0]+t[2] | |
| 1470 | mov %rdx,$A0[0] | |
| 1471 | adc \$0,$A0[0] | |
| 1472 | mov $A0[1],-16($tptr,$i) # t[2] | |
| 1473 | ||
| 1474 | xor $A1[0],$A1[0] | |
| 1475 | ||
| 1476 | mov -8($aptr,$i),$ai # a[3] | |
| 1477 | mul $a1 # a[2]*a[1] | |
| 1478 | add %rax,$A1[0] # a[2]*a[1]+t[3] | |
| 1479 | mov $ai,%rax | |
| 1480 | adc \$0,%rdx | |
| 1481 | add -8($tptr,$i),$A1[0] | |
| 1482 | mov %rdx,$A1[1] | |
| 1483 | adc \$0,$A1[1] | |
| 1484 | ||
| 1485 | mul $a0 # a[3]*a[0] | |
| 1486 | add %rax,$A0[0] # a[3]*a[0]+a[2]*a[1]+t[3] | |
| 1487 | mov $ai,%rax | |
| 1488 | adc \$0,%rdx | |
| 1489 | add $A1[0],$A0[0] | |
| 1490 | mov %rdx,$A0[1] | |
| 1491 | adc \$0,$A0[1] | |
| 1492 | mov $A0[0],-8($tptr,$i) # t[3] | |
| 1493 | ||
| 1494 | lea ($i),$j | |
| 1495 | jmp .Lsqr4x_inner | |
| 1496 | ||
| 1497 | .align 32 | |
| 1498 | .Lsqr4x_inner: | |
| 1499 | mov ($aptr,$j),$ai # a[4] | |
| 1500 | mul $a1 # a[3]*a[1] | |
| 1501 | add %rax,$A1[1] # a[3]*a[1]+t[4] | |
| 1502 | mov $ai,%rax | |
| 1503 | mov %rdx,$A1[0] | |
| 1504 | adc \$0,$A1[0] | |
| 1505 | add ($tptr,$j),$A1[1] | |
| 1506 | adc \$0,$A1[0] | |
| 1507 | ||
| 1508 | .byte 0x67 | |
| 1509 | mul $a0 # a[4]*a[0] | |
| 1510 | add %rax,$A0[1] # a[4]*a[0]+a[3]*a[1]+t[4] | |
| 1511 | mov $ai,%rax # a[3] | |
| 1512 | mov 8($aptr,$j),$ai # a[5] | |
| 1513 | mov %rdx,$A0[0] | |
| 1514 | adc \$0,$A0[0] | |
| 1515 | add $A1[1],$A0[1] | |
| 1516 | adc \$0,$A0[0] | |
| 1517 | ||
| 1518 | mul $a1 # a[4]*a[3] | |
| 1519 | add %rax,$A1[0] # a[4]*a[3]+t[5] | |
| 1520 | mov $A0[1],($tptr,$j) # t[4] | |
| 1521 | mov $ai,%rax | |
| 1522 | mov %rdx,$A1[1] | |
| 1523 | adc \$0,$A1[1] | |
| 1524 | add 8($tptr,$j),$A1[0] | |
| 1525 | lea 16($j),$j # j++ | |
| 1526 | adc \$0,$A1[1] | |
| 1527 | ||
| 1528 | mul $a0 # a[5]*a[2] | |
| 1529 | add %rax,$A0[0] # a[5]*a[2]+a[4]*a[3]+t[5] | |
| 1530 | mov $ai,%rax | |
| 1531 | adc \$0,%rdx | |
| 1532 | add $A1[0],$A0[0] | |
| 1533 | mov %rdx,$A0[1] | |
| 1534 | adc \$0,$A0[1] | |
| 1535 | mov $A0[0],-8($tptr,$j) # t[5], "preloaded t[1]" below | |
| 1536 | ||
| 1537 | cmp \$0,$j | |
| 1538 | jne .Lsqr4x_inner | |
| 1539 | ||
| 1540 | .byte 0x67 | |
| 1541 | mul $a1 # a[5]*a[3] | |
| 1542 | add %rax,$A1[1] | |
| 1543 | adc \$0,%rdx | |
| 1544 | add $A0[1],$A1[1] | |
| 1545 | adc \$0,%rdx | |
| 1546 | ||
| 1547 | mov $A1[1],($tptr) # t[6], "preloaded t[2]" below | |
| 1548 | mov %rdx,$A1[0] | |
| 1549 | mov %rdx,8($tptr) # t[7], "preloaded t[3]" below | |
| 1550 | ||
| 1551 | add \$16,$i | |
| 1552 | jnz .Lsqr4x_outer | |
| 1553 | ||
| 1554 | # comments apply to $num==4 case | |
| 1555 | mov -32($aptr),$a0 # a[0] | |
| 1556 | lea 48+8(%rsp,$num,2),$tptr # end of tp[] buffer, &tp[2*$num] | |
| 1557 | mov -24($aptr),%rax # a[1] | |
| 1558 | lea -32($tptr,$i),$tptr # end of tp[] window, &tp[2*$num-"$i"] | |
| 1559 | mov -16($aptr),$ai # a[2] | |
| 1560 | mov %rax,$a1 | |
| 1561 | ||
| 1562 | mul $a0 # a[1]*a[0] | |
| 1563 | add %rax,$A0[0] # a[1]*a[0]+t[1], preloaded t[1] | |
| 1564 | mov $ai,%rax # a[2] | |
| 1565 | mov %rdx,$A0[1] | |
| 1566 | adc \$0,$A0[1] | |
| 1567 | ||
| 1568 | mul $a0 # a[2]*a[0] | |
| 1569 | add %rax,$A0[1] | |
| 1570 | mov $ai,%rax | |
| 1571 | mov $A0[0],-24($tptr) # t[1] | |
| 1572 | mov %rdx,$A0[0] | |
| 1573 | adc \$0,$A0[0] | |
| 1574 | add $A1[1],$A0[1] # a[2]*a[0]+t[2], preloaded t[2] | |
| 1575 | mov -8($aptr),$ai # a[3] | |
| 1576 | adc \$0,$A0[0] | |
| 1577 | ||
| 1578 | mul $a1 # a[2]*a[1] | |
| 1579 | add %rax,$A1[0] # a[2]*a[1]+t[3], preloaded t[3] | |
| 1580 | mov $ai,%rax | |
| 1581 | mov $A0[1],-16($tptr) # t[2] | |
| 1582 | mov %rdx,$A1[1] | |
| 1583 | adc \$0,$A1[1] | |
| 1584 | ||
| 1585 | mul $a0 # a[3]*a[0] | |
| 1586 | add %rax,$A0[0] # a[3]*a[0]+a[2]*a[1]+t[3] | |
| 1587 | mov $ai,%rax | |
| 1588 | mov %rdx,$A0[1] | |
| 1589 | adc \$0,$A0[1] | |
| 1590 | add $A1[0],$A0[0] | |
| 1591 | adc \$0,$A0[1] | |
| 1592 | mov $A0[0],-8($tptr) # t[3] | |
| 1593 | ||
| 1594 | mul $a1 # a[3]*a[1] | |
| 1595 | add %rax,$A1[1] | |
| 1596 | mov -16($aptr),%rax # a[2] | |
| 1597 | adc \$0,%rdx | |
| 1598 | add $A0[1],$A1[1] | |
| 1599 | adc \$0,%rdx | |
| 1600 | ||
| 1601 | mov $A1[1],($tptr) # t[4] | |
| 1602 | mov %rdx,$A1[0] | |
| 1603 | mov %rdx,8($tptr) # t[5] | |
| 1604 | ||
| 1605 | mul $ai # a[2]*a[3] | |
| a5bb5bca | 1606 | ___ |
| ec9cc70f AP |
1607 | { |
| 1608 | my ($shift,$carry)=($a0,$a1); | |
| 1609 | my @S=(@A1,$ai,$n0); | |
| a5bb5bca | 1610 | $code.=<<___; |
| ec9cc70f AP |
1611 | add \$16,$i |
| 1612 | xor $shift,$shift | |
| 1613 | sub $num,$i # $i=16-$num | |
| 1614 | xor $carry,$carry | |
| 1615 | ||
| 1616 | add $A1[0],%rax # t[5] | |
| 1617 | adc \$0,%rdx | |
| 1618 | mov %rax,8($tptr) # t[5] | |
| 1619 | mov %rdx,16($tptr) # t[6] | |
| 1620 | mov $carry,24($tptr) # t[7] | |
| 1621 | ||
| 1622 | mov -16($aptr,$i),%rax # a[0] | |
| 1623 | lea 48+8(%rsp),$tptr | |
| 1624 | xor $A0[0],$A0[0] # t[0] | |
| 1625 | mov 8($tptr),$A0[1] # t[1] | |
| 1626 | ||
| 1627 | lea ($shift,$A0[0],2),$S[0] # t[2*i]<<1 | shift | |
| 1628 | shr \$63,$A0[0] | |
| 1629 | lea ($j,$A0[1],2),$S[1] # t[2*i+1]<<1 | | |
| 1630 | shr \$63,$A0[1] | |
| 1631 | or $A0[0],$S[1] # | t[2*i]>>63 | |
| 1632 | mov 16($tptr),$A0[0] # t[2*i+2] # prefetch | |
| 1633 | mov $A0[1],$shift # shift=t[2*i+1]>>63 | |
| 1634 | mul %rax # a[i]*a[i] | |
| 1635 | neg $carry # mov $carry,cf | |
| 1636 | mov 24($tptr),$A0[1] # t[2*i+2+1] # prefetch | |
| 1637 | adc %rax,$S[0] | |
| 1638 | mov -8($aptr,$i),%rax # a[i+1] # prefetch | |
| 1639 | mov $S[0],($tptr) | |
| 1640 | adc %rdx,$S[1] | |
| 1641 | ||
| 1642 | lea ($shift,$A0[0],2),$S[2] # t[2*i]<<1 | shift | |
| 1643 | mov $S[1],8($tptr) | |
| 1644 | sbb $carry,$carry # mov cf,$carry | |
| 1645 | shr \$63,$A0[0] | |
| 1646 | lea ($j,$A0[1],2),$S[3] # t[2*i+1]<<1 | | |
| 1647 | shr \$63,$A0[1] | |
| 1648 | or $A0[0],$S[3] # | t[2*i]>>63 | |
| 1649 | mov 32($tptr),$A0[0] # t[2*i+2] # prefetch | |
| 1650 | mov $A0[1],$shift # shift=t[2*i+1]>>63 | |
| 1651 | mul %rax # a[i]*a[i] | |
| 1652 | neg $carry # mov $carry,cf | |
| 1653 | mov 40($tptr),$A0[1] # t[2*i+2+1] # prefetch | |
| 1654 | adc %rax,$S[2] | |
| 1655 | mov 0($aptr,$i),%rax # a[i+1] # prefetch | |
| 1656 | mov $S[2],16($tptr) | |
| 1657 | adc %rdx,$S[3] | |
| 1658 | lea 16($i),$i | |
| 1659 | mov $S[3],24($tptr) | |
| 1660 | sbb $carry,$carry # mov cf,$carry | |
| 1661 | lea 64($tptr),$tptr | |
| 1662 | jmp .Lsqr4x_shift_n_add | |
| a5bb5bca | 1663 | |
| ec9cc70f AP |
1664 | .align 32 |
| 1665 | .Lsqr4x_shift_n_add: | |
| 1666 | lea ($shift,$A0[0],2),$S[0] # t[2*i]<<1 | shift | |
| 1667 | shr \$63,$A0[0] | |
| 1668 | lea ($j,$A0[1],2),$S[1] # t[2*i+1]<<1 | | |
| 1669 | shr \$63,$A0[1] | |
| 1670 | or $A0[0],$S[1] # | t[2*i]>>63 | |
| 1671 | mov -16($tptr),$A0[0] # t[2*i+2] # prefetch | |
| 1672 | mov $A0[1],$shift # shift=t[2*i+1]>>63 | |
| 1673 | mul %rax # a[i]*a[i] | |
| 1674 | neg $carry # mov $carry,cf | |
| 1675 | mov -8($tptr),$A0[1] # t[2*i+2+1] # prefetch | |
| 1676 | adc %rax,$S[0] | |
| 1677 | mov -8($aptr,$i),%rax # a[i+1] # prefetch | |
| 1678 | mov $S[0],-32($tptr) | |
| 1679 | adc %rdx,$S[1] | |
| 1680 | ||
| 1681 | lea ($shift,$A0[0],2),$S[2] # t[2*i]<<1 | shift | |
| 1682 | mov $S[1],-24($tptr) | |
| 1683 | sbb $carry,$carry # mov cf,$carry | |
| 1684 | shr \$63,$A0[0] | |
| 1685 | lea ($j,$A0[1],2),$S[3] # t[2*i+1]<<1 | | |
| 1686 | shr \$63,$A0[1] | |
| 1687 | or $A0[0],$S[3] # | t[2*i]>>63 | |
| 1688 | mov 0($tptr),$A0[0] # t[2*i+2] # prefetch | |
| 1689 | mov $A0[1],$shift # shift=t[2*i+1]>>63 | |
| 1690 | mul %rax # a[i]*a[i] | |
| 1691 | neg $carry # mov $carry,cf | |
| 1692 | mov 8($tptr),$A0[1] # t[2*i+2+1] # prefetch | |
| 1693 | adc %rax,$S[2] | |
| 1694 | mov 0($aptr,$i),%rax # a[i+1] # prefetch | |
| 1695 | mov $S[2],-16($tptr) | |
| 1696 | adc %rdx,$S[3] | |
| 1697 | ||
| 1698 | lea ($shift,$A0[0],2),$S[0] # t[2*i]<<1 | shift | |
| 1699 | mov $S[3],-8($tptr) | |
| 1700 | sbb $carry,$carry # mov cf,$carry | |
| 1701 | shr \$63,$A0[0] | |
| 1702 | lea ($j,$A0[1],2),$S[1] # t[2*i+1]<<1 | | |
| 1703 | shr \$63,$A0[1] | |
| 1704 | or $A0[0],$S[1] # | t[2*i]>>63 | |
| 1705 | mov 16($tptr),$A0[0] # t[2*i+2] # prefetch | |
| 1706 | mov $A0[1],$shift # shift=t[2*i+1]>>63 | |
| 1707 | mul %rax # a[i]*a[i] | |
| 1708 | neg $carry # mov $carry,cf | |
| 1709 | mov 24($tptr),$A0[1] # t[2*i+2+1] # prefetch | |
| 1710 | adc %rax,$S[0] | |
| 1711 | mov 8($aptr,$i),%rax # a[i+1] # prefetch | |
| 1712 | mov $S[0],0($tptr) | |
| 1713 | adc %rdx,$S[1] | |
| 1714 | ||
| 1715 | lea ($shift,$A0[0],2),$S[2] # t[2*i]<<1 | shift | |
| 1716 | mov $S[1],8($tptr) | |
| 1717 | sbb $carry,$carry # mov cf,$carry | |
| 1718 | shr \$63,$A0[0] | |
| 1719 | lea ($j,$A0[1],2),$S[3] # t[2*i+1]<<1 | | |
| 1720 | shr \$63,$A0[1] | |
| 1721 | or $A0[0],$S[3] # | t[2*i]>>63 | |
| 1722 | mov 32($tptr),$A0[0] # t[2*i+2] # prefetch | |
| 1723 | mov $A0[1],$shift # shift=t[2*i+1]>>63 | |
| 1724 | mul %rax # a[i]*a[i] | |
| 1725 | neg $carry # mov $carry,cf | |
| 1726 | mov 40($tptr),$A0[1] # t[2*i+2+1] # prefetch | |
| 1727 | adc %rax,$S[2] | |
| 1728 | mov 16($aptr,$i),%rax # a[i+1] # prefetch | |
| 1729 | mov $S[2],16($tptr) | |
| 1730 | adc %rdx,$S[3] | |
| 1731 | mov $S[3],24($tptr) | |
| 1732 | sbb $carry,$carry # mov cf,$carry | |
| 1733 | lea 64($tptr),$tptr | |
| 1734 | add \$32,$i | |
| 1735 | jnz .Lsqr4x_shift_n_add | |
| 1736 | ||
| 1737 | lea ($shift,$A0[0],2),$S[0] # t[2*i]<<1 | shift | |
| 1738 | .byte 0x67 | |
| 1739 | shr \$63,$A0[0] | |
| 1740 | lea ($j,$A0[1],2),$S[1] # t[2*i+1]<<1 | | |
| 1741 | shr \$63,$A0[1] | |
| 1742 | or $A0[0],$S[1] # | t[2*i]>>63 | |
| 1743 | mov -16($tptr),$A0[0] # t[2*i+2] # prefetch | |
| 1744 | mov $A0[1],$shift # shift=t[2*i+1]>>63 | |
| 1745 | mul %rax # a[i]*a[i] | |
| 1746 | neg $carry # mov $carry,cf | |
| 1747 | mov -8($tptr),$A0[1] # t[2*i+2+1] # prefetch | |
| 1748 | adc %rax,$S[0] | |
| 1749 | mov -8($aptr),%rax # a[i+1] # prefetch | |
| 1750 | mov $S[0],-32($tptr) | |
| 1751 | adc %rdx,$S[1] | |
| 1752 | ||
| 1753 | lea ($shift,$A0[0],2),$S[2] # t[2*i]<<1|shift | |
| 1754 | mov $S[1],-24($tptr) | |
| 1755 | sbb $carry,$carry # mov cf,$carry | |
| 1756 | shr \$63,$A0[0] | |
| 1757 | lea ($j,$A0[1],2),$S[3] # t[2*i+1]<<1 | | |
| 1758 | shr \$63,$A0[1] | |
| 1759 | or $A0[0],$S[3] # | t[2*i]>>63 | |
| 1760 | mul %rax # a[i]*a[i] | |
| 1761 | neg $carry # mov $carry,cf | |
| 1762 | adc %rax,$S[2] | |
| 1763 | adc %rdx,$S[3] | |
| 1764 | mov $S[2],-16($tptr) | |
| 1765 | mov $S[3],-8($tptr) | |
| 1766 | ___ | |
| 1767 | }\f | |
| 1768 | ###################################################################### | |
| 1769 | # Montgomery reduction part, "word-by-word" algorithm. | |
| 1770 | # | |
| 1771 | # This new path is inspired by multiple submissions from Intel, by | |
| 1772 | # Shay Gueron, Vlad Krasnov, Erdinc Ozturk, James Guilford, | |
| 1773 | # Vinodh Gopal... | |
| 1774 | { | |
| 1775 | my ($nptr,$tptr,$carry,$m0)=("%rbp","%rdi","%rsi","%rbx"); | |
| a5bb5bca | 1776 | |
| ec9cc70f AP |
1777 | $code.=<<___; |
| 1778 | movq %xmm2,$nptr | |
| 317be638 | 1779 | __bn_sqr8x_reduction: |
| ec9cc70f | 1780 | xor %rax,%rax |
| 8fc8f486 | 1781 | lea ($nptr,$num),%rcx # end of n[] |
| ec9cc70f AP |
1782 | lea 48+8(%rsp,$num,2),%rdx # end of t[] buffer |
| 1783 | mov %rcx,0+8(%rsp) | |
| 1784 | lea 48+8(%rsp,$num),$tptr # end of initial t[] window | |
| 1785 | mov %rdx,8+8(%rsp) | |
| 1786 | neg $num | |
| 1787 | jmp .L8x_reduction_loop | |
| a5bb5bca | 1788 | |
| ec9cc70f AP |
1789 | .align 32 |
| 1790 | .L8x_reduction_loop: | |
| 1791 | lea ($tptr,$num),$tptr # start of current t[] window | |
| 1792 | .byte 0x66 | |
| 1793 | mov 8*0($tptr),$m0 | |
| 1794 | mov 8*1($tptr),%r9 | |
| 1795 | mov 8*2($tptr),%r10 | |
| 1796 | mov 8*3($tptr),%r11 | |
| 1797 | mov 8*4($tptr),%r12 | |
| 1798 | mov 8*5($tptr),%r13 | |
| 1799 | mov 8*6($tptr),%r14 | |
| 1800 | mov 8*7($tptr),%r15 | |
| 1801 | mov %rax,(%rdx) # store top-most carry bit | |
| 1802 | lea 8*8($tptr),$tptr | |
| 1803 | ||
| 1804 | .byte 0x67 | |
| 1805 | mov $m0,%r8 | |
| 1806 | imulq 32+8(%rsp),$m0 # n0*a[0] | |
| 8fc8f486 | 1807 | mov 8*0($nptr),%rax # n[0] |
| ec9cc70f AP |
1808 | mov \$8,%ecx |
| 1809 | jmp .L8x_reduce | |
| a5bb5bca | 1810 | |
| ec9cc70f AP |
1811 | .align 32 |
| 1812 | .L8x_reduce: | |
| 1813 | mulq $m0 | |
| 8fc8f486 | 1814 | mov 8*1($nptr),%rax # n[1] |
| ec9cc70f AP |
1815 | neg %r8 |
| 1816 | mov %rdx,%r8 | |
| 1817 | adc \$0,%r8 | |
| a5bb5bca | 1818 | |
| ec9cc70f AP |
1819 | mulq $m0 |
| 1820 | add %rax,%r9 | |
| 8fc8f486 | 1821 | mov 8*2($nptr),%rax |
| ec9cc70f AP |
1822 | adc \$0,%rdx |
| 1823 | add %r9,%r8 | |
| 1824 | mov $m0,48-8+8(%rsp,%rcx,8) # put aside n0*a[i] | |
| 1825 | mov %rdx,%r9 | |
| 1826 | adc \$0,%r9 | |
| 361512da | 1827 | |
| ec9cc70f AP |
1828 | mulq $m0 |
| 1829 | add %rax,%r10 | |
| 8fc8f486 | 1830 | mov 8*3($nptr),%rax |
| ec9cc70f AP |
1831 | adc \$0,%rdx |
| 1832 | add %r10,%r9 | |
| 1833 | mov 32+8(%rsp),$carry # pull n0, borrow $carry | |
| 1834 | mov %rdx,%r10 | |
| 1835 | adc \$0,%r10 | |
| a5bb5bca | 1836 | |
| ec9cc70f AP |
1837 | mulq $m0 |
| 1838 | add %rax,%r11 | |
| 8fc8f486 | 1839 | mov 8*4($nptr),%rax |
| ec9cc70f AP |
1840 | adc \$0,%rdx |
| 1841 | imulq %r8,$carry # modulo-scheduled | |
| 1842 | add %r11,%r10 | |
| 1843 | mov %rdx,%r11 | |
| 1844 | adc \$0,%r11 | |
| a5bb5bca | 1845 | |
| ec9cc70f AP |
1846 | mulq $m0 |
| 1847 | add %rax,%r12 | |
| 8fc8f486 | 1848 | mov 8*5($nptr),%rax |
| ec9cc70f AP |
1849 | adc \$0,%rdx |
| 1850 | add %r12,%r11 | |
| 1851 | mov %rdx,%r12 | |
| 1852 | adc \$0,%r12 | |
| a5bb5bca | 1853 | |
| ec9cc70f AP |
1854 | mulq $m0 |
| 1855 | add %rax,%r13 | |
| 8fc8f486 | 1856 | mov 8*6($nptr),%rax |
| ec9cc70f AP |
1857 | adc \$0,%rdx |
| 1858 | add %r13,%r12 | |
| 1859 | mov %rdx,%r13 | |
| 1860 | adc \$0,%r13 | |
| 1861 | ||
| 1862 | mulq $m0 | |
| 1863 | add %rax,%r14 | |
| 8fc8f486 | 1864 | mov 8*7($nptr),%rax |
| ec9cc70f AP |
1865 | adc \$0,%rdx |
| 1866 | add %r14,%r13 | |
| 1867 | mov %rdx,%r14 | |
| 1868 | adc \$0,%r14 | |
| a5bb5bca | 1869 | |
| ec9cc70f AP |
1870 | mulq $m0 |
| 1871 | mov $carry,$m0 # n0*a[i] | |
| 1872 | add %rax,%r15 | |
| 8fc8f486 | 1873 | mov 8*0($nptr),%rax # n[0] |
| ec9cc70f AP |
1874 | adc \$0,%rdx |
| 1875 | add %r15,%r14 | |
| 1876 | mov %rdx,%r15 | |
| 1877 | adc \$0,%r15 | |
| 1878 | ||
| 1879 | dec %ecx | |
| 1880 | jnz .L8x_reduce | |
| 1881 | ||
| 8fc8f486 | 1882 | lea 8*8($nptr),$nptr |
| ec9cc70f AP |
1883 | xor %rax,%rax |
| 1884 | mov 8+8(%rsp),%rdx # pull end of t[] | |
| 1885 | cmp 0+8(%rsp),$nptr # end of n[]? | |
| 1886 | jae .L8x_no_tail | |
| 1887 | ||
| 1888 | .byte 0x66 | |
| 1889 | add 8*0($tptr),%r8 | |
| 1890 | adc 8*1($tptr),%r9 | |
| 1891 | adc 8*2($tptr),%r10 | |
| 1892 | adc 8*3($tptr),%r11 | |
| 1893 | adc 8*4($tptr),%r12 | |
| 1894 | adc 8*5($tptr),%r13 | |
| 1895 | adc 8*6($tptr),%r14 | |
| 1896 | adc 8*7($tptr),%r15 | |
| 1897 | sbb $carry,$carry # top carry | |
| 1898 | ||
| 1899 | mov 48+56+8(%rsp),$m0 # pull n0*a[0] | |
| 1900 | mov \$8,%ecx | |
| 8fc8f486 | 1901 | mov 8*0($nptr),%rax |
| ec9cc70f | 1902 | jmp .L8x_tail |
| a5bb5bca AP |
1903 | |
| 1904 | .align 32 | |
| ec9cc70f AP |
1905 | .L8x_tail: |
| 1906 | mulq $m0 | |
| 1907 | add %rax,%r8 | |
| 8fc8f486 | 1908 | mov 8*1($nptr),%rax |
| ec9cc70f AP |
1909 | mov %r8,($tptr) # save result |
| 1910 | mov %rdx,%r8 | |
| 1911 | adc \$0,%r8 | |
| 1912 | ||
| 1913 | mulq $m0 | |
| 1914 | add %rax,%r9 | |
| 8fc8f486 | 1915 | mov 8*2($nptr),%rax |
| ec9cc70f AP |
1916 | adc \$0,%rdx |
| 1917 | add %r9,%r8 | |
| 1918 | lea 8($tptr),$tptr # $tptr++ | |
| 1919 | mov %rdx,%r9 | |
| 1920 | adc \$0,%r9 | |
| 1921 | ||
| 1922 | mulq $m0 | |
| 1923 | add %rax,%r10 | |
| 8fc8f486 | 1924 | mov 8*3($nptr),%rax |
| ec9cc70f AP |
1925 | adc \$0,%rdx |
| 1926 | add %r10,%r9 | |
| 1927 | mov %rdx,%r10 | |
| 1928 | adc \$0,%r10 | |
| 1929 | ||
| 1930 | mulq $m0 | |
| 1931 | add %rax,%r11 | |
| 8fc8f486 | 1932 | mov 8*4($nptr),%rax |
| ec9cc70f AP |
1933 | adc \$0,%rdx |
| 1934 | add %r11,%r10 | |
| 1935 | mov %rdx,%r11 | |
| 1936 | adc \$0,%r11 | |
| 1937 | ||
| 1938 | mulq $m0 | |
| 1939 | add %rax,%r12 | |
| 8fc8f486 | 1940 | mov 8*5($nptr),%rax |
| ec9cc70f AP |
1941 | adc \$0,%rdx |
| 1942 | add %r12,%r11 | |
| 1943 | mov %rdx,%r12 | |
| 1944 | adc \$0,%r12 | |
| 1945 | ||
| 1946 | mulq $m0 | |
| 1947 | add %rax,%r13 | |
| 8fc8f486 | 1948 | mov 8*6($nptr),%rax |
| ec9cc70f AP |
1949 | adc \$0,%rdx |
| 1950 | add %r13,%r12 | |
| 1951 | mov %rdx,%r13 | |
| 1952 | adc \$0,%r13 | |
| 1953 | ||
| 1954 | mulq $m0 | |
| 1955 | add %rax,%r14 | |
| 8fc8f486 | 1956 | mov 8*7($nptr),%rax |
| ec9cc70f AP |
1957 | adc \$0,%rdx |
| 1958 | add %r14,%r13 | |
| 1959 | mov %rdx,%r14 | |
| 1960 | adc \$0,%r14 | |
| 1961 | ||
| 1962 | mulq $m0 | |
| 1963 | mov 48-16+8(%rsp,%rcx,8),$m0# pull n0*a[i] | |
| 1964 | add %rax,%r15 | |
| 1965 | adc \$0,%rdx | |
| 1966 | add %r15,%r14 | |
| 8fc8f486 | 1967 | mov 8*0($nptr),%rax # pull n[0] |
| ec9cc70f AP |
1968 | mov %rdx,%r15 |
| 1969 | adc \$0,%r15 | |
| 1970 | ||
| 1971 | dec %ecx | |
| 1972 | jnz .L8x_tail | |
| 1973 | ||
| 8fc8f486 | 1974 | lea 8*8($nptr),$nptr |
| ec9cc70f AP |
1975 | mov 8+8(%rsp),%rdx # pull end of t[] |
| 1976 | cmp 0+8(%rsp),$nptr # end of n[]? | |
| 1977 | jae .L8x_tail_done # break out of loop | |
| 1978 | ||
| 1979 | mov 48+56+8(%rsp),$m0 # pull n0*a[0] | |
| 1980 | neg $carry | |
| 1981 | mov 8*0($nptr),%rax # pull n[0] | |
| 1982 | adc 8*0($tptr),%r8 | |
| 1983 | adc 8*1($tptr),%r9 | |
| 1984 | adc 8*2($tptr),%r10 | |
| 1985 | adc 8*3($tptr),%r11 | |
| 1986 | adc 8*4($tptr),%r12 | |
| 1987 | adc 8*5($tptr),%r13 | |
| 1988 | adc 8*6($tptr),%r14 | |
| 1989 | adc 8*7($tptr),%r15 | |
| 1990 | sbb $carry,$carry # top carry | |
| 1991 | ||
| 1992 | mov \$8,%ecx | |
| 1993 | jmp .L8x_tail | |
| 1994 | ||
| 1995 | .align 32 | |
| 1996 | .L8x_tail_done: | |
| 3f4bcf5b | 1997 | xor %rax,%rax |
| ec9cc70f | 1998 | add (%rdx),%r8 # can this overflow? |
| 29851264 AP |
1999 | adc \$0,%r9 |
| 2000 | adc \$0,%r10 | |
| 2001 | adc \$0,%r11 | |
| 2002 | adc \$0,%r12 | |
| 2003 | adc \$0,%r13 | |
| 2004 | adc \$0,%r14 | |
| 3f4bcf5b AP |
2005 | adc \$0,%r15 |
| 2006 | adc \$0,%rax | |
| ec9cc70f AP |
2007 | |
| 2008 | neg $carry | |
| 2009 | .L8x_no_tail: | |
| 2010 | adc 8*0($tptr),%r8 | |
| 2011 | adc 8*1($tptr),%r9 | |
| 2012 | adc 8*2($tptr),%r10 | |
| 2013 | adc 8*3($tptr),%r11 | |
| 2014 | adc 8*4($tptr),%r12 | |
| 2015 | adc 8*5($tptr),%r13 | |
| 2016 | adc 8*6($tptr),%r14 | |
| 2017 | adc 8*7($tptr),%r15 | |
| 2018 | adc \$0,%rax # top-most carry | |
| 8fc8f486 | 2019 | mov -8($nptr),%rcx # np[num-1] |
| ec9cc70f AP |
2020 | xor $carry,$carry |
| 2021 | ||
| 2022 | movq %xmm2,$nptr # restore $nptr | |
| 2023 | ||
| 2024 | mov %r8,8*0($tptr) # store top 512 bits | |
| 2025 | mov %r9,8*1($tptr) | |
| 2026 | movq %xmm3,$num # $num is %r9, can't be moved upwards | |
| 2027 | mov %r10,8*2($tptr) | |
| 2028 | mov %r11,8*3($tptr) | |
| 2029 | mov %r12,8*4($tptr) | |
| 2030 | mov %r13,8*5($tptr) | |
| 2031 | mov %r14,8*6($tptr) | |
| 2032 | mov %r15,8*7($tptr) | |
| 2033 | lea 8*8($tptr),$tptr | |
| 2034 | ||
| 2035 | cmp %rdx,$tptr # end of t[]? | |
| 2036 | jb .L8x_reduction_loop | |
| 317be638 | 2037 | ret |
| 0190c52a | 2038 | .cfi_endproc |
| 317be638 | 2039 | .size bn_sqr8x_internal,.-bn_sqr8x_internal |
| ec9cc70f AP |
2040 | ___ |
| 2041 | }\f | |
| 2042 | ############################################################## | |
| 2043 | # Post-condition, 4x unrolled | |
| 2044 | # | |
| 2045 | { | |
| 2046 | my ($tptr,$nptr)=("%rbx","%rbp"); | |
| 2047 | $code.=<<___; | |
| 317be638 AP |
2048 | .type __bn_post4x_internal,\@abi-omnipotent |
| 2049 | .align 32 | |
| 2050 | __bn_post4x_internal: | |
| 0190c52a | 2051 | .cfi_startproc |
| 8fc8f486 | 2052 | mov 8*0($nptr),%r12 |
| ec9cc70f | 2053 | lea (%rdi,$num),$tptr # %rdi was $tptr above |
| ec9cc70f | 2054 | mov $num,%rcx |
| ec9cc70f | 2055 | movq %xmm1,$rptr # restore $rptr |
| 8fc8f486 | 2056 | neg %rax |
| ec9cc70f | 2057 | movq %xmm1,$aptr # prepare for back-to-back call |
| 8fc8f486 AP |
2058 | sar \$3+2,%rcx |
| 2059 | dec %r12 # so that after 'not' we get -n[0] | |
| 2060 | xor %r10,%r10 | |
| 2061 | mov 8*1($nptr),%r13 | |
| 2062 | mov 8*2($nptr),%r14 | |
| 2063 | mov 8*3($nptr),%r15 | |
| 2064 | jmp .Lsqr4x_sub_entry | |
| ec9cc70f | 2065 | |
| 8fc8f486 | 2066 | .align 16 |
| ec9cc70f | 2067 | .Lsqr4x_sub: |
| 8fc8f486 AP |
2068 | mov 8*0($nptr),%r12 |
| 2069 | mov 8*1($nptr),%r13 | |
| 2070 | mov 8*2($nptr),%r14 | |
| 2071 | mov 8*3($nptr),%r15 | |
| 2072 | .Lsqr4x_sub_entry: | |
| 2073 | lea 8*4($nptr),$nptr | |
| 2074 | not %r12 | |
| 2075 | not %r13 | |
| 2076 | not %r14 | |
| 2077 | not %r15 | |
| 2078 | and %rax,%r12 | |
| 2079 | and %rax,%r13 | |
| 2080 | and %rax,%r14 | |
| 2081 | and %rax,%r15 | |
| 2082 | ||
| 2083 | neg %r10 # mov %r10,%cf | |
| 2084 | adc 8*0($tptr),%r12 | |
| 2085 | adc 8*1($tptr),%r13 | |
| 2086 | adc 8*2($tptr),%r14 | |
| 2087 | adc 8*3($tptr),%r15 | |
| ec9cc70f | 2088 | mov %r12,8*0($rptr) |
| 8fc8f486 | 2089 | lea 8*4($tptr),$tptr |
| ec9cc70f | 2090 | mov %r13,8*1($rptr) |
| 8fc8f486 | 2091 | sbb %r10,%r10 # mov %cf,%r10 |
| ec9cc70f AP |
2092 | mov %r14,8*2($rptr) |
| 2093 | mov %r15,8*3($rptr) | |
| 2094 | lea 8*4($rptr),$rptr | |
| 2095 | ||
| 2096 | inc %rcx # pass %cf | |
| 2097 | jnz .Lsqr4x_sub | |
| 317be638 | 2098 | |
| ec9cc70f | 2099 | mov $num,%r10 # prepare for back-to-back call |
| 609b0852 | 2100 | neg $num # restore $num |
| ec9cc70f | 2101 | ret |
| 0190c52a | 2102 | .cfi_endproc |
| 317be638 | 2103 | .size __bn_post4x_internal,.-__bn_post4x_internal |
| ec9cc70f | 2104 | ___ |
| 317be638 | 2105 | } |
| ec9cc70f AP |
2106 | { |
| 2107 | $code.=<<___; | |
| 2108 | .globl bn_from_montgomery | |
| 2109 | .type bn_from_montgomery,\@abi-omnipotent | |
| 2110 | .align 32 | |
| 2111 | bn_from_montgomery: | |
| 0190c52a | 2112 | .cfi_startproc |
| ec9cc70f AP |
2113 | testl \$7,`($win64?"48(%rsp)":"%r9d")` |
| 2114 | jz bn_from_mont8x | |
| 2115 | xor %eax,%eax | |
| 2116 | ret | |
| 0190c52a | 2117 | .cfi_endproc |
| ec9cc70f AP |
2118 | .size bn_from_montgomery,.-bn_from_montgomery |
| 2119 | ||
| 2120 | .type bn_from_mont8x,\@function,6 | |
| 2121 | .align 32 | |
| 2122 | bn_from_mont8x: | |
| 76e624a0 | 2123 | .cfi_startproc |
| ec9cc70f AP |
2124 | .byte 0x67 |
| 2125 | mov %rsp,%rax | |
| 76e624a0 | 2126 | .cfi_def_cfa_register %rax |
| ec9cc70f | 2127 | push %rbx |
| 76e624a0 | 2128 | .cfi_push %rbx |
| ec9cc70f | 2129 | push %rbp |
| 76e624a0 | 2130 | .cfi_push %rbp |
| ec9cc70f | 2131 | push %r12 |
| 76e624a0 | 2132 | .cfi_push %r12 |
| ec9cc70f | 2133 | push %r13 |
| 76e624a0 | 2134 | .cfi_push %r13 |
| ec9cc70f | 2135 | push %r14 |
| 76e624a0 | 2136 | .cfi_push %r14 |
| ec9cc70f | 2137 | push %r15 |
| 76e624a0 | 2138 | .cfi_push %r15 |
| 3ba1ef82 | 2139 | .Lfrom_prologue: |
| 8fc8f486 | 2140 | |
| ec9cc70f | 2141 | shl \$3,${num}d # convert $num to bytes |
| 8fc8f486 | 2142 | lea ($num,$num,2),%r10 # 3*$num in bytes |
| ec9cc70f AP |
2143 | neg $num |
| 2144 | mov ($n0),$n0 # *n0 | |
| 2145 | ||
| 2146 | ############################################################## | |
| 8fc8f486 AP |
2147 | # Ensure that stack frame doesn't alias with $rptr+3*$num |
| 2148 | # modulo 4096, which covers ret[num], am[num] and n[num] | |
| 2149 | # (see bn_exp.c). The stack is allocated to aligned with | |
| 2150 | # bn_power5's frame, and as bn_from_montgomery happens to be | |
| 2151 | # last operation, we use the opportunity to cleanse it. | |
| ec9cc70f | 2152 | # |
| 8fc8f486 | 2153 | lea -320(%rsp,$num,2),%r11 |
| 3ba1ef82 | 2154 | mov %rsp,%rbp |
| 8fc8f486 | 2155 | sub $rptr,%r11 |
| ec9cc70f AP |
2156 | and \$4095,%r11 |
| 2157 | cmp %r11,%r10 | |
| 2158 | jb .Lfrom_sp_alt | |
| 3ba1ef82 AP |
2159 | sub %r11,%rbp # align with $aptr |
| 2160 | lea -320(%rbp,$num,2),%rbp # future alloca(frame+2*$num*8+256) | |
| ec9cc70f AP |
2161 | jmp .Lfrom_sp_done |
| 2162 | ||
| 2163 | .align 32 | |
| 2164 | .Lfrom_sp_alt: | |
| 8fc8f486 | 2165 | lea 4096-320(,$num,2),%r10 |
| 3ba1ef82 | 2166 | lea -320(%rbp,$num,2),%rbp # future alloca(frame+2*$num*8+256) |
| ec9cc70f AP |
2167 | sub %r10,%r11 |
| 2168 | mov \$0,%r10 | |
| 2169 | cmovc %r10,%r11 | |
| 3ba1ef82 | 2170 | sub %r11,%rbp |
| ec9cc70f | 2171 | .Lfrom_sp_done: |
| 3ba1ef82 AP |
2172 | and \$-64,%rbp |
| 2173 | mov %rsp,%r11 | |
| 2174 | sub %rbp,%r11 | |
| adc4f1fc | 2175 | and \$-4096,%r11 |
| 3ba1ef82 AP |
2176 | lea (%rbp,%r11),%rsp |
| 2177 | mov (%rsp),%r10 | |
| 2178 | cmp %rbp,%rsp | |
| 2179 | ja .Lfrom_page_walk | |
| 2180 | jmp .Lfrom_page_walk_done | |
| 2181 | ||
| adc4f1fc | 2182 | .Lfrom_page_walk: |
| 3ba1ef82 AP |
2183 | lea -4096(%rsp),%rsp |
| 2184 | mov (%rsp),%r10 | |
| 2185 | cmp %rbp,%rsp | |
| 2186 | ja .Lfrom_page_walk | |
| 2187 | .Lfrom_page_walk_done: | |
| adc4f1fc AP |
2188 | |
| 2189 | mov $num,%r10 | |
| ec9cc70f AP |
2190 | neg $num |
| 2191 | ||
| 2192 | ############################################################## | |
| 2193 | # Stack layout | |
| 2194 | # | |
| 2195 | # +0 saved $num, used in reduction section | |
| 2196 | # +8 &t[2*$num], used in reduction section | |
| 2197 | # +32 saved *n0 | |
| 2198 | # +40 saved %rsp | |
| 2199 | # +48 t[2*$num] | |
| 2200 | # | |
| 2201 | mov $n0, 32(%rsp) | |
| 2202 | mov %rax, 40(%rsp) # save original %rsp | |
| 76e624a0 | 2203 | .cfi_cfa_expression %rsp+40,deref,+8 |
| ec9cc70f AP |
2204 | .Lfrom_body: |
| 2205 | mov $num,%r11 | |
| 2206 | lea 48(%rsp),%rax | |
| 2207 | pxor %xmm0,%xmm0 | |
| 2208 | jmp .Lmul_by_1 | |
| 2209 | ||
| 2210 | .align 32 | |
| 2211 | .Lmul_by_1: | |
| 2212 | movdqu ($aptr),%xmm1 | |
| 2213 | movdqu 16($aptr),%xmm2 | |
| 2214 | movdqu 32($aptr),%xmm3 | |
| 2215 | movdqa %xmm0,(%rax,$num) | |
| 2216 | movdqu 48($aptr),%xmm4 | |
| 2217 | movdqa %xmm0,16(%rax,$num) | |
| 2218 | .byte 0x48,0x8d,0xb6,0x40,0x00,0x00,0x00 # lea 64($aptr),$aptr | |
| 2219 | movdqa %xmm1,(%rax) | |
| 2220 | movdqa %xmm0,32(%rax,$num) | |
| 2221 | movdqa %xmm2,16(%rax) | |
| 2222 | movdqa %xmm0,48(%rax,$num) | |
| 2223 | movdqa %xmm3,32(%rax) | |
| 2224 | movdqa %xmm4,48(%rax) | |
| 2225 | lea 64(%rax),%rax | |
| 2226 | sub \$64,%r11 | |
| 2227 | jnz .Lmul_by_1 | |
| 2228 | ||
| 2229 | movq $rptr,%xmm1 | |
| 2230 | movq $nptr,%xmm2 | |
| 2231 | .byte 0x67 | |
| 2232 | mov $nptr,%rbp | |
| 2233 | movq %r10, %xmm3 # -num | |
| 2234 | ___ | |
| 2235 | $code.=<<___ if ($addx); | |
| 2236 | mov OPENSSL_ia32cap_P+8(%rip),%r11d | |
| 8fc8f486 AP |
2237 | and \$0x80108,%r11d |
| 2238 | cmp \$0x80108,%r11d # check for AD*X+BMI2+BMI1 | |
| ec9cc70f AP |
2239 | jne .Lfrom_mont_nox |
| 2240 | ||
| 2241 | lea (%rax,$num),$rptr | |
| 317be638 AP |
2242 | call __bn_sqrx8x_reduction |
| 2243 | call __bn_postx4x_internal | |
| ec9cc70f AP |
2244 | |
| 2245 | pxor %xmm0,%xmm0 | |
| 2246 | lea 48(%rsp),%rax | |
| ec9cc70f AP |
2247 | jmp .Lfrom_mont_zero |
| 2248 | ||
| 2249 | .align 32 | |
| 2250 | .Lfrom_mont_nox: | |
| 2251 | ___ | |
| 2252 | $code.=<<___; | |
| 317be638 AP |
2253 | call __bn_sqr8x_reduction |
| 2254 | call __bn_post4x_internal | |
| ec9cc70f AP |
2255 | |
| 2256 | pxor %xmm0,%xmm0 | |
| 2257 | lea 48(%rsp),%rax | |
| ec9cc70f AP |
2258 | jmp .Lfrom_mont_zero |
| 2259 | ||
| 2260 | .align 32 | |
| 2261 | .Lfrom_mont_zero: | |
| 76e624a0 AP |
2262 | mov 40(%rsp),%rsi # restore %rsp |
| 2263 | .cfi_def_cfa %rsi,8 | |
| ec9cc70f AP |
2264 | movdqa %xmm0,16*0(%rax) |
| 2265 | movdqa %xmm0,16*1(%rax) | |
| 2266 | movdqa %xmm0,16*2(%rax) | |
| 2267 | movdqa %xmm0,16*3(%rax) | |
| 2268 | lea 16*4(%rax),%rax | |
| 2269 | sub \$32,$num | |
| 2270 | jnz .Lfrom_mont_zero | |
| 2271 | ||
| 2272 | mov \$1,%rax | |
| 2273 | mov -48(%rsi),%r15 | |
| 76e624a0 | 2274 | .cfi_restore %r15 |
| ec9cc70f | 2275 | mov -40(%rsi),%r14 |
| 76e624a0 | 2276 | .cfi_restore %r14 |
| ec9cc70f | 2277 | mov -32(%rsi),%r13 |
| 76e624a0 | 2278 | .cfi_restore %r13 |
| ec9cc70f | 2279 | mov -24(%rsi),%r12 |
| 76e624a0 | 2280 | .cfi_restore %r12 |
| ec9cc70f | 2281 | mov -16(%rsi),%rbp |
| 76e624a0 | 2282 | .cfi_restore %rbp |
| ec9cc70f | 2283 | mov -8(%rsi),%rbx |
| 76e624a0 | 2284 | .cfi_restore %rbx |
| ec9cc70f | 2285 | lea (%rsi),%rsp |
| 76e624a0 | 2286 | .cfi_def_cfa_register %rsp |
| ec9cc70f AP |
2287 | .Lfrom_epilogue: |
| 2288 | ret | |
| 76e624a0 | 2289 | .cfi_endproc |
| ec9cc70f AP |
2290 | .size bn_from_mont8x,.-bn_from_mont8x |
| 2291 | ___ | |
| 2292 | } | |
| 2293 | }}} | |
| 2294 | \f | |
| 2295 | if ($addx) {{{ | |
| 2296 | my $bp="%rdx"; # restore original value | |
| 2297 | ||
| 2298 | $code.=<<___; | |
| 2299 | .type bn_mulx4x_mont_gather5,\@function,6 | |
| 2300 | .align 32 | |
| 2301 | bn_mulx4x_mont_gather5: | |
| 76e624a0 | 2302 | .cfi_startproc |
| ec9cc70f | 2303 | mov %rsp,%rax |
| 76e624a0 | 2304 | .cfi_def_cfa_register %rax |
| 3ba1ef82 | 2305 | .Lmulx4x_enter: |
| ec9cc70f | 2306 | push %rbx |
| 76e624a0 | 2307 | .cfi_push %rbx |
| ec9cc70f | 2308 | push %rbp |
| 76e624a0 | 2309 | .cfi_push %rbp |
| ec9cc70f | 2310 | push %r12 |
| 76e624a0 | 2311 | .cfi_push %r12 |
| ec9cc70f | 2312 | push %r13 |
| 76e624a0 | 2313 | .cfi_push %r13 |
| ec9cc70f | 2314 | push %r14 |
| 76e624a0 | 2315 | .cfi_push %r14 |
| ec9cc70f | 2316 | push %r15 |
| 76e624a0 | 2317 | .cfi_push %r15 |
| 3ba1ef82 | 2318 | .Lmulx4x_prologue: |
| 8fc8f486 | 2319 | |
| ec9cc70f | 2320 | shl \$3,${num}d # convert $num to bytes |
| 8fc8f486 | 2321 | lea ($num,$num,2),%r10 # 3*$num in bytes |
| ec9cc70f AP |
2322 | neg $num # -$num |
| 2323 | mov ($n0),$n0 # *n0 | |
| 2324 | ||
| 2325 | ############################################################## | |
| 8fc8f486 AP |
2326 | # Ensure that stack frame doesn't alias with $rptr+3*$num |
| 2327 | # modulo 4096, which covers ret[num], am[num] and n[num] | |
| 2328 | # (see bn_exp.c). This is done to allow memory disambiguation | |
| 2329 | # logic do its magic. [Extra [num] is allocated in order | |
| 2330 | # to align with bn_power5's frame, which is cleansed after | |
| 2331 | # completing exponentiation. Extra 256 bytes is for power mask | |
| 2332 | # calculated from 7th argument, the index.] | |
| ec9cc70f | 2333 | # |
| 8fc8f486 | 2334 | lea -320(%rsp,$num,2),%r11 |
| 3ba1ef82 | 2335 | mov %rsp,%rbp |
| 8fc8f486 | 2336 | sub $rp,%r11 |
| ec9cc70f AP |
2337 | and \$4095,%r11 |
| 2338 | cmp %r11,%r10 | |
| 2339 | jb .Lmulx4xsp_alt | |
| 3ba1ef82 AP |
2340 | sub %r11,%rbp # align with $aptr |
| 2341 | lea -320(%rbp,$num,2),%rbp # future alloca(frame+2*$num*8+256) | |
| ec9cc70f AP |
2342 | jmp .Lmulx4xsp_done |
| 2343 | ||
| ec9cc70f | 2344 | .Lmulx4xsp_alt: |
| 8fc8f486 | 2345 | lea 4096-320(,$num,2),%r10 |
| 3ba1ef82 | 2346 | lea -320(%rbp,$num,2),%rbp # future alloca(frame+2*$num*8+256) |
| ec9cc70f AP |
2347 | sub %r10,%r11 |
| 2348 | mov \$0,%r10 | |
| 2349 | cmovc %r10,%r11 | |
| 3ba1ef82 | 2350 | sub %r11,%rbp |
| 609b0852 | 2351 | .Lmulx4xsp_done: |
| 3ba1ef82 AP |
2352 | and \$-64,%rbp # ensure alignment |
| 2353 | mov %rsp,%r11 | |
| 2354 | sub %rbp,%r11 | |
| adc4f1fc | 2355 | and \$-4096,%r11 |
| 3ba1ef82 AP |
2356 | lea (%rbp,%r11),%rsp |
| 2357 | mov (%rsp),%r10 | |
| 2358 | cmp %rbp,%rsp | |
| 2359 | ja .Lmulx4x_page_walk | |
| 2360 | jmp .Lmulx4x_page_walk_done | |
| 2361 | ||
| adc4f1fc | 2362 | .Lmulx4x_page_walk: |
| 3ba1ef82 AP |
2363 | lea -4096(%rsp),%rsp |
| 2364 | mov (%rsp),%r10 | |
| 2365 | cmp %rbp,%rsp | |
| 2366 | ja .Lmulx4x_page_walk | |
| 2367 | .Lmulx4x_page_walk_done: | |
| adc4f1fc | 2368 | |
| ec9cc70f AP |
2369 | ############################################################## |
| 2370 | # Stack layout | |
| 2371 | # +0 -num | |
| 2372 | # +8 off-loaded &b[i] | |
| 2373 | # +16 end of b[num] | |
| 2374 | # +24 inner counter | |
| 2375 | # +32 saved n0 | |
| 2376 | # +40 saved %rsp | |
| 2377 | # +48 | |
| 2378 | # +56 saved rp | |
| 2379 | # +64 tmp[num+1] | |
| 2380 | # | |
| 2381 | mov $n0, 32(%rsp) # save *n0 | |
| 2382 | mov %rax,40(%rsp) # save original %rsp | |
| 76e624a0 | 2383 | .cfi_cfa_expression %rsp+40,deref,+8 |
| ec9cc70f AP |
2384 | .Lmulx4x_body: |
| 2385 | call mulx4x_internal | |
| 2386 | ||
| 2387 | mov 40(%rsp),%rsi # restore %rsp | |
| 76e624a0 | 2388 | .cfi_def_cfa %rsi,8 |
| ec9cc70f | 2389 | mov \$1,%rax |
| 8fc8f486 | 2390 | |
| ec9cc70f | 2391 | mov -48(%rsi),%r15 |
| 76e624a0 | 2392 | .cfi_restore %r15 |
| ec9cc70f | 2393 | mov -40(%rsi),%r14 |
| 76e624a0 | 2394 | .cfi_restore %r14 |
| ec9cc70f | 2395 | mov -32(%rsi),%r13 |
| 76e624a0 | 2396 | .cfi_restore %r13 |
| ec9cc70f | 2397 | mov -24(%rsi),%r12 |
| 76e624a0 | 2398 | .cfi_restore %r12 |
| ec9cc70f | 2399 | mov -16(%rsi),%rbp |
| 76e624a0 | 2400 | .cfi_restore %rbp |
| ec9cc70f | 2401 | mov -8(%rsi),%rbx |
| 76e624a0 | 2402 | .cfi_restore %rbx |
| ec9cc70f | 2403 | lea (%rsi),%rsp |
| 76e624a0 | 2404 | .cfi_def_cfa_register %rsp |
| ec9cc70f AP |
2405 | .Lmulx4x_epilogue: |
| 2406 | ret | |
| 76e624a0 | 2407 | .cfi_endproc |
| ec9cc70f AP |
2408 | .size bn_mulx4x_mont_gather5,.-bn_mulx4x_mont_gather5 |
| 2409 | ||
| 2410 | .type mulx4x_internal,\@abi-omnipotent | |
| 2411 | .align 32 | |
| 2412 | mulx4x_internal: | |
| 0190c52a | 2413 | .cfi_startproc |
| 8fc8f486 AP |
2414 | mov $num,8(%rsp) # save -$num (it was in bytes) |
| 2415 | mov $num,%r10 | |
| ec9cc70f AP |
2416 | neg $num # restore $num |
| 2417 | shl \$5,$num | |
| 8fc8f486 AP |
2418 | neg %r10 # restore $num |
| 2419 | lea 128($bp,$num),%r13 # end of powers table (+size optimization) | |
| ec9cc70f | 2420 | shr \$5+5,$num |
| 8fc8f486 | 2421 | movd `($win64?56:8)`(%rax),%xmm5 # load 7th argument |
| ec9cc70f | 2422 | sub \$1,$num |
| 8fc8f486 | 2423 | lea .Linc(%rip),%rax |
| ec9cc70f AP |
2424 | mov %r13,16+8(%rsp) # end of b[num] |
| 2425 | mov $num,24+8(%rsp) # inner counter | |
| 2426 | mov $rp, 56+8(%rsp) # save $rp | |
| 2427 | ___ | |
| 2428 | my ($aptr, $bptr, $nptr, $tptr, $mi, $bi, $zero, $num)= | |
| 2429 | ("%rsi","%rdi","%rcx","%rbx","%r8","%r9","%rbp","%rax"); | |
| 2430 | my $rptr=$bptr; | |
| 2431 | my $STRIDE=2**5*8; # 5 is "window size" | |
| 2432 | my $N=$STRIDE/4; # should match cache line size | |
| 2433 | $code.=<<___; | |
| 8fc8f486 AP |
2434 | movdqa 0(%rax),%xmm0 # 00000001000000010000000000000000 |
| 2435 | movdqa 16(%rax),%xmm1 # 00000002000000020000000200000002 | |
| 46f4e1be | 2436 | lea 88-112(%rsp,%r10),%r10 # place the mask after tp[num+1] (+ICache optimization) |
| 8fc8f486 | 2437 | lea 128($bp),$bptr # size optimization |
| ec9cc70f | 2438 | |
| 8fc8f486 AP |
2439 | pshufd \$0,%xmm5,%xmm5 # broadcast index |
| 2440 | movdqa %xmm1,%xmm4 | |
| 2441 | .byte 0x67 | |
| 2442 | movdqa %xmm1,%xmm2 | |
| 2443 | ___ | |
| 2444 | ######################################################################## | |
| 2445 | # calculate mask by comparing 0..31 to index and save result to stack | |
| 2446 | # | |
| 2447 | $code.=<<___; | |
| 2448 | .byte 0x67 | |
| 2449 | paddd %xmm0,%xmm1 | |
| 2450 | pcmpeqd %xmm5,%xmm0 # compare to 1,0 | |
| 2451 | movdqa %xmm4,%xmm3 | |
| 2452 | ___ | |
| 2453 | for($i=0;$i<$STRIDE/16-4;$i+=4) { | |
| 2454 | $code.=<<___; | |
| 2455 | paddd %xmm1,%xmm2 | |
| 2456 | pcmpeqd %xmm5,%xmm1 # compare to 3,2 | |
| 2457 | movdqa %xmm0,`16*($i+0)+112`(%r10) | |
| 2458 | movdqa %xmm4,%xmm0 | |
| 2459 | ||
| 2460 | paddd %xmm2,%xmm3 | |
| 2461 | pcmpeqd %xmm5,%xmm2 # compare to 5,4 | |
| 2462 | movdqa %xmm1,`16*($i+1)+112`(%r10) | |
| 2463 | movdqa %xmm4,%xmm1 | |
| 2464 | ||
| 2465 | paddd %xmm3,%xmm0 | |
| 2466 | pcmpeqd %xmm5,%xmm3 # compare to 7,6 | |
| 2467 | movdqa %xmm2,`16*($i+2)+112`(%r10) | |
| 2468 | movdqa %xmm4,%xmm2 | |
| 2469 | ||
| 2470 | paddd %xmm0,%xmm1 | |
| 2471 | pcmpeqd %xmm5,%xmm0 | |
| 2472 | movdqa %xmm3,`16*($i+3)+112`(%r10) | |
| 2473 | movdqa %xmm4,%xmm3 | |
| 2474 | ___ | |
| 2475 | } | |
| 2476 | $code.=<<___; # last iteration can be optimized | |
| 2477 | .byte 0x67 | |
| 2478 | paddd %xmm1,%xmm2 | |
| 2479 | pcmpeqd %xmm5,%xmm1 | |
| 2480 | movdqa %xmm0,`16*($i+0)+112`(%r10) | |
| 2481 | ||
| 2482 | paddd %xmm2,%xmm3 | |
| 2483 | pcmpeqd %xmm5,%xmm2 | |
| 2484 | movdqa %xmm1,`16*($i+1)+112`(%r10) | |
| 2485 | ||
| 2486 | pcmpeqd %xmm5,%xmm3 | |
| 2487 | movdqa %xmm2,`16*($i+2)+112`(%r10) | |
| 2488 | ||
| 2489 | pand `16*($i+0)-128`($bptr),%xmm0 # while it's still in register | |
| 2490 | pand `16*($i+1)-128`($bptr),%xmm1 | |
| 2491 | pand `16*($i+2)-128`($bptr),%xmm2 | |
| 2492 | movdqa %xmm3,`16*($i+3)+112`(%r10) | |
| 2493 | pand `16*($i+3)-128`($bptr),%xmm3 | |
| 2494 | por %xmm2,%xmm0 | |
| 2495 | por %xmm3,%xmm1 | |
| 2496 | ___ | |
| 2497 | for($i=0;$i<$STRIDE/16-4;$i+=4) { | |
| 2498 | $code.=<<___; | |
| 2499 | movdqa `16*($i+0)-128`($bptr),%xmm4 | |
| 2500 | movdqa `16*($i+1)-128`($bptr),%xmm5 | |
| 2501 | movdqa `16*($i+2)-128`($bptr),%xmm2 | |
| 2502 | pand `16*($i+0)+112`(%r10),%xmm4 | |
| 2503 | movdqa `16*($i+3)-128`($bptr),%xmm3 | |
| 2504 | pand `16*($i+1)+112`(%r10),%xmm5 | |
| 2505 | por %xmm4,%xmm0 | |
| 2506 | pand `16*($i+2)+112`(%r10),%xmm2 | |
| 2507 | por %xmm5,%xmm1 | |
| 2508 | pand `16*($i+3)+112`(%r10),%xmm3 | |
| 2509 | por %xmm2,%xmm0 | |
| 2510 | por %xmm3,%xmm1 | |
| 2511 | ___ | |
| 2512 | } | |
| 2513 | $code.=<<___; | |
| 2514 | pxor %xmm1,%xmm0 | |
| 2515 | pshufd \$0x4e,%xmm0,%xmm1 | |
| 2516 | por %xmm1,%xmm0 | |
| 2517 | lea $STRIDE($bptr),$bptr | |
| ec9cc70f | 2518 | movq %xmm0,%rdx # bp[0] |
| 8fc8f486 | 2519 | lea 64+8*4+8(%rsp),$tptr |
| ec9cc70f AP |
2520 | |
| 2521 | mov %rdx,$bi | |
| 2522 | mulx 0*8($aptr),$mi,%rax # a[0]*b[0] | |
| 2523 | mulx 1*8($aptr),%r11,%r12 # a[1]*b[0] | |
| 2524 | add %rax,%r11 | |
| 2525 | mulx 2*8($aptr),%rax,%r13 # ... | |
| 2526 | adc %rax,%r12 | |
| 2527 | adc \$0,%r13 | |
| 2528 | mulx 3*8($aptr),%rax,%r14 | |
| 2529 | ||
| 2530 | mov $mi,%r15 | |
| 2531 | imulq 32+8(%rsp),$mi # "t[0]"*n0 | |
| 2532 | xor $zero,$zero # cf=0, of=0 | |
| 2533 | mov $mi,%rdx | |
| 2534 | ||
| ec9cc70f | 2535 | mov $bptr,8+8(%rsp) # off-load &b[i] |
| ec9cc70f | 2536 | |
| 8fc8f486 | 2537 | lea 4*8($aptr),$aptr |
| ec9cc70f AP |
2538 | adcx %rax,%r13 |
| 2539 | adcx $zero,%r14 # cf=0 | |
| 2540 | ||
| 8fc8f486 | 2541 | mulx 0*8($nptr),%rax,%r10 |
| ec9cc70f AP |
2542 | adcx %rax,%r15 # discarded |
| 2543 | adox %r11,%r10 | |
| 8fc8f486 | 2544 | mulx 1*8($nptr),%rax,%r11 |
| ec9cc70f AP |
2545 | adcx %rax,%r10 |
| 2546 | adox %r12,%r11 | |
| 8fc8f486 | 2547 | mulx 2*8($nptr),%rax,%r12 |
| ec9cc70f | 2548 | mov 24+8(%rsp),$bptr # counter value |
| ec9cc70f AP |
2549 | mov %r10,-8*4($tptr) |
| 2550 | adcx %rax,%r11 | |
| 2551 | adox %r13,%r12 | |
| 8fc8f486 | 2552 | mulx 3*8($nptr),%rax,%r15 |
| ec9cc70f AP |
2553 | mov $bi,%rdx |
| 2554 | mov %r11,-8*3($tptr) | |
| 2555 | adcx %rax,%r12 | |
| 2556 | adox $zero,%r15 # of=0 | |
| 8fc8f486 | 2557 | lea 4*8($nptr),$nptr |
| ec9cc70f | 2558 | mov %r12,-8*2($tptr) |
| 8fc8f486 | 2559 | jmp .Lmulx4x_1st |
| ec9cc70f AP |
2560 | |
| 2561 | .align 32 | |
| 2562 | .Lmulx4x_1st: | |
| 2563 | adcx $zero,%r15 # cf=0, modulo-scheduled | |
| 2564 | mulx 0*8($aptr),%r10,%rax # a[4]*b[0] | |
| 2565 | adcx %r14,%r10 | |
| 2566 | mulx 1*8($aptr),%r11,%r14 # a[5]*b[0] | |
| 2567 | adcx %rax,%r11 | |
| 2568 | mulx 2*8($aptr),%r12,%rax # ... | |
| a5bb5bca AP |
2569 | adcx %r14,%r12 |
| 2570 | mulx 3*8($aptr),%r13,%r14 | |
| ec9cc70f | 2571 | .byte 0x67,0x67 |
| a5bb5bca AP |
2572 | mov $mi,%rdx |
| 2573 | adcx %rax,%r13 | |
| 2574 | adcx $zero,%r14 # cf=0 | |
| 2575 | lea 4*8($aptr),$aptr | |
| 2576 | lea 4*8($tptr),$tptr | |
| 2577 | ||
| 2578 | adox %r15,%r10 | |
| 8fc8f486 | 2579 | mulx 0*8($nptr),%rax,%r15 |
| a5bb5bca AP |
2580 | adcx %rax,%r10 |
| 2581 | adox %r15,%r11 | |
| 8fc8f486 | 2582 | mulx 1*8($nptr),%rax,%r15 |
| a5bb5bca AP |
2583 | adcx %rax,%r11 |
| 2584 | adox %r15,%r12 | |
| 8fc8f486 | 2585 | mulx 2*8($nptr),%rax,%r15 |
| a5bb5bca | 2586 | mov %r10,-5*8($tptr) |
| a5bb5bca | 2587 | adcx %rax,%r12 |
| ec9cc70f | 2588 | mov %r11,-4*8($tptr) |
| a5bb5bca | 2589 | adox %r15,%r13 |
| 8fc8f486 | 2590 | mulx 3*8($nptr),%rax,%r15 |
| a5bb5bca AP |
2591 | mov $bi,%rdx |
| 2592 | mov %r12,-3*8($tptr) | |
| 2593 | adcx %rax,%r13 | |
| 2594 | adox $zero,%r15 | |
| 8fc8f486 | 2595 | lea 4*8($nptr),$nptr |
| a5bb5bca AP |
2596 | mov %r13,-2*8($tptr) |
| 2597 | ||
| 2598 | dec $bptr # of=0, pass cf | |
| 2599 | jnz .Lmulx4x_1st | |
| 2600 | ||
| ec9cc70f | 2601 | mov 8(%rsp),$num # load -num |
| a5bb5bca | 2602 | adc $zero,%r15 # modulo-scheduled |
| ec9cc70f | 2603 | lea ($aptr,$num),$aptr # rewind $aptr |
| a5bb5bca | 2604 | add %r15,%r14 |
| ec9cc70f AP |
2605 | mov 8+8(%rsp),$bptr # re-load &b[i] |
| 2606 | adc $zero,$zero # top-most carry | |
| a5bb5bca AP |
2607 | mov %r14,-1*8($tptr) |
| 2608 | jmp .Lmulx4x_outer | |
| 2609 | ||
| 2610 | .align 32 | |
| 2611 | .Lmulx4x_outer: | |
| 8fc8f486 AP |
2612 | lea 16-256($tptr),%r10 # where 256-byte mask is (+density control) |
| 2613 | pxor %xmm4,%xmm4 | |
| 2614 | .byte 0x67,0x67 | |
| 2615 | pxor %xmm5,%xmm5 | |
| 2616 | ___ | |
| 2617 | for($i=0;$i<$STRIDE/16;$i+=4) { | |
| 2618 | $code.=<<___; | |
| 2619 | movdqa `16*($i+0)-128`($bptr),%xmm0 | |
| 2620 | movdqa `16*($i+1)-128`($bptr),%xmm1 | |
| 2621 | movdqa `16*($i+2)-128`($bptr),%xmm2 | |
| 2622 | pand `16*($i+0)+256`(%r10),%xmm0 | |
| 2623 | movdqa `16*($i+3)-128`($bptr),%xmm3 | |
| 2624 | pand `16*($i+1)+256`(%r10),%xmm1 | |
| 2625 | por %xmm0,%xmm4 | |
| 2626 | pand `16*($i+2)+256`(%r10),%xmm2 | |
| 2627 | por %xmm1,%xmm5 | |
| 2628 | pand `16*($i+3)+256`(%r10),%xmm3 | |
| 2629 | por %xmm2,%xmm4 | |
| 2630 | por %xmm3,%xmm5 | |
| 2631 | ___ | |
| 2632 | } | |
| 2633 | $code.=<<___; | |
| 2634 | por %xmm5,%xmm4 | |
| 2635 | pshufd \$0x4e,%xmm4,%xmm0 | |
| 2636 | por %xmm4,%xmm0 | |
| 2637 | lea $STRIDE($bptr),$bptr | |
| 2638 | movq %xmm0,%rdx # m0=bp[i] | |
| 2639 | ||
| ec9cc70f AP |
2640 | mov $zero,($tptr) # save top-most carry |
| 2641 | lea 4*8($tptr,$num),$tptr # rewind $tptr | |
| 2642 | mulx 0*8($aptr),$mi,%r11 # a[0]*b[i] | |
| a5bb5bca AP |
2643 | xor $zero,$zero # cf=0, of=0 |
| 2644 | mov %rdx,$bi | |
| ec9cc70f AP |
2645 | mulx 1*8($aptr),%r14,%r12 # a[1]*b[i] |
| 2646 | adox -4*8($tptr),$mi # +t[0] | |
| 2647 | adcx %r14,%r11 | |
| 2648 | mulx 2*8($aptr),%r15,%r13 # ... | |
| 2649 | adox -3*8($tptr),%r11 | |
| 2650 | adcx %r15,%r12 | |
| 2651 | mulx 3*8($aptr),%rdx,%r14 | |
| 2652 | adox -2*8($tptr),%r12 | |
| 2653 | adcx %rdx,%r13 | |
| 8fc8f486 | 2654 | lea ($nptr,$num),$nptr # rewind $nptr |
| ec9cc70f AP |
2655 | lea 4*8($aptr),$aptr |
| 2656 | adox -1*8($tptr),%r13 | |
| 2657 | adcx $zero,%r14 | |
| 2658 | adox $zero,%r14 | |
| 2659 | ||
| ec9cc70f AP |
2660 | mov $mi,%r15 |
| 2661 | imulq 32+8(%rsp),$mi # "t[0]"*n0 | |
| a5bb5bca | 2662 | |
| ec9cc70f | 2663 | mov $mi,%rdx |
| a5bb5bca | 2664 | xor $zero,$zero # cf=0, of=0 |
| ec9cc70f | 2665 | mov $bptr,8+8(%rsp) # off-load &b[i] |
| a5bb5bca | 2666 | |
| 8fc8f486 | 2667 | mulx 0*8($nptr),%rax,%r10 |
| ec9cc70f | 2668 | adcx %rax,%r15 # discarded |
| a5bb5bca | 2669 | adox %r11,%r10 |
| 8fc8f486 | 2670 | mulx 1*8($nptr),%rax,%r11 |
| a5bb5bca AP |
2671 | adcx %rax,%r10 |
| 2672 | adox %r12,%r11 | |
| 8fc8f486 | 2673 | mulx 2*8($nptr),%rax,%r12 |
| a5bb5bca AP |
2674 | adcx %rax,%r11 |
| 2675 | adox %r13,%r12 | |
| 8fc8f486 | 2676 | mulx 3*8($nptr),%rax,%r15 |
| a5bb5bca | 2677 | mov $bi,%rdx |
| ec9cc70f AP |
2678 | mov 24+8(%rsp),$bptr # counter value |
| 2679 | mov %r10,-8*4($tptr) | |
| a5bb5bca | 2680 | adcx %rax,%r12 |
| ec9cc70f | 2681 | mov %r11,-8*3($tptr) |
| a5bb5bca | 2682 | adox $zero,%r15 # of=0 |
| ec9cc70f | 2683 | mov %r12,-8*2($tptr) |
| 8fc8f486 | 2684 | lea 4*8($nptr),$nptr |
| a5bb5bca AP |
2685 | jmp .Lmulx4x_inner |
| 2686 | ||
| 2687 | .align 32 | |
| 2688 | .Lmulx4x_inner: | |
| a5bb5bca | 2689 | mulx 0*8($aptr),%r10,%rax # a[4]*b[i] |
| ec9cc70f AP |
2690 | adcx $zero,%r15 # cf=0, modulo-scheduled |
| 2691 | adox %r14,%r10 | |
| a5bb5bca | 2692 | mulx 1*8($aptr),%r11,%r14 # a[5]*b[i] |
| ec9cc70f | 2693 | adcx 0*8($tptr),%r10 |
| a5bb5bca AP |
2694 | adox %rax,%r11 |
| 2695 | mulx 2*8($aptr),%r12,%rax # ... | |
| ec9cc70f | 2696 | adcx 1*8($tptr),%r11 |
| a5bb5bca AP |
2697 | adox %r14,%r12 |
| 2698 | mulx 3*8($aptr),%r13,%r14 | |
| 2699 | mov $mi,%rdx | |
| 2700 | adcx 2*8($tptr),%r12 | |
| 2701 | adox %rax,%r13 | |
| 2702 | adcx 3*8($tptr),%r13 | |
| 2703 | adox $zero,%r14 # of=0 | |
| 2704 | lea 4*8($aptr),$aptr | |
| ec9cc70f | 2705 | lea 4*8($tptr),$tptr |
| a5bb5bca AP |
2706 | adcx $zero,%r14 # cf=0 |
| 2707 | ||
| 2708 | adox %r15,%r10 | |
| 8fc8f486 | 2709 | mulx 0*8($nptr),%rax,%r15 |
| a5bb5bca AP |
2710 | adcx %rax,%r10 |
| 2711 | adox %r15,%r11 | |
| 8fc8f486 | 2712 | mulx 1*8($nptr),%rax,%r15 |
| a5bb5bca AP |
2713 | adcx %rax,%r11 |
| 2714 | adox %r15,%r12 | |
| 8fc8f486 | 2715 | mulx 2*8($nptr),%rax,%r15 |
| a5bb5bca | 2716 | mov %r10,-5*8($tptr) |
| a5bb5bca AP |
2717 | adcx %rax,%r12 |
| 2718 | adox %r15,%r13 | |
| a5bb5bca | 2719 | mov %r11,-4*8($tptr) |
| 8fc8f486 | 2720 | mulx 3*8($nptr),%rax,%r15 |
| ec9cc70f | 2721 | mov $bi,%rdx |
| 8fc8f486 | 2722 | lea 4*8($nptr),$nptr |
| a5bb5bca AP |
2723 | mov %r12,-3*8($tptr) |
| 2724 | adcx %rax,%r13 | |
| 2725 | adox $zero,%r15 | |
| a5bb5bca AP |
2726 | mov %r13,-2*8($tptr) |
| 2727 | ||
| 2728 | dec $bptr # of=0, pass cf | |
| 2729 | jnz .Lmulx4x_inner | |
| 2730 | ||
| ec9cc70f | 2731 | mov 0+8(%rsp),$num # load -num |
| a5bb5bca | 2732 | adc $zero,%r15 # modulo-scheduled |
| ec9cc70f AP |
2733 | sub 0*8($tptr),$bptr # pull top-most carry to %cf |
| 2734 | mov 8+8(%rsp),$bptr # re-load &b[i] | |
| 2735 | mov 16+8(%rsp),%r10 | |
| a5bb5bca | 2736 | adc %r15,%r14 |
| ec9cc70f AP |
2737 | lea ($aptr,$num),$aptr # rewind $aptr |
| 2738 | adc $zero,$zero # top-most carry | |
| a5bb5bca AP |
2739 | mov %r14,-1*8($tptr) |
| 2740 | ||
| ec9cc70f | 2741 | cmp %r10,$bptr |
| a5bb5bca AP |
2742 | jb .Lmulx4x_outer |
| 2743 | ||
| 8fc8f486 AP |
2744 | mov -8($nptr),%r10 |
| 2745 | mov $zero,%r8 | |
| 2746 | mov ($nptr,$num),%r12 | |
| 2747 | lea ($nptr,$num),%rbp # rewind $nptr | |
| 2748 | mov $num,%rcx | |
| 2749 | lea ($tptr,$num),%rdi # rewind $tptr | |
| 2750 | xor %eax,%eax | |
| ec9cc70f AP |
2751 | xor %r15,%r15 |
| 2752 | sub %r14,%r10 # compare top-most words | |
| 2753 | adc %r15,%r15 | |
| 8fc8f486 AP |
2754 | or %r15,%r8 |
| 2755 | sar \$3+2,%rcx | |
| 2756 | sub %r8,%rax # %rax=-%r8 | |
| ec9cc70f | 2757 | mov 56+8(%rsp),%rdx # restore rp |
| 8fc8f486 AP |
2758 | dec %r12 # so that after 'not' we get -n[0] |
| 2759 | mov 8*1(%rbp),%r13 | |
| 2760 | xor %r8,%r8 | |
| 2761 | mov 8*2(%rbp),%r14 | |
| 2762 | mov 8*3(%rbp),%r15 | |
| 2763 | jmp .Lsqrx4x_sub_entry # common post-condition | |
| 0190c52a | 2764 | .cfi_endproc |
| ec9cc70f AP |
2765 | .size mulx4x_internal,.-mulx4x_internal |
| 2766 | ___ | |
| 2767 | }\f{ | |
| 2768 | ###################################################################### | |
| 2769 | # void bn_power5( | |
| 2770 | my $rptr="%rdi"; # BN_ULONG *rptr, | |
| 2771 | my $aptr="%rsi"; # const BN_ULONG *aptr, | |
| 2772 | my $bptr="%rdx"; # const void *table, | |
| 2773 | my $nptr="%rcx"; # const BN_ULONG *nptr, | |
| 2774 | my $n0 ="%r8"; # const BN_ULONG *n0); | |
| 2775 | my $num ="%r9"; # int num, has to be divisible by 8 | |
| 2776 | # int pwr); | |
| 2777 | ||
| 2778 | my ($i,$j,$tptr)=("%rbp","%rcx",$rptr); | |
| 2779 | my @A0=("%r10","%r11"); | |
| 2780 | my @A1=("%r12","%r13"); | |
| 2781 | my ($a0,$a1,$ai)=("%r14","%r15","%rbx"); | |
| 2782 | ||
| 2783 | $code.=<<___; | |
| 2784 | .type bn_powerx5,\@function,6 | |
| 2785 | .align 32 | |
| 2786 | bn_powerx5: | |
| 76e624a0 | 2787 | .cfi_startproc |
| ec9cc70f | 2788 | mov %rsp,%rax |
| 76e624a0 | 2789 | .cfi_def_cfa_register %rax |
| 3ba1ef82 | 2790 | .Lpowerx5_enter: |
| ec9cc70f | 2791 | push %rbx |
| 76e624a0 | 2792 | .cfi_push %rbx |
| ec9cc70f | 2793 | push %rbp |
| 76e624a0 | 2794 | .cfi_push %rbp |
| ec9cc70f | 2795 | push %r12 |
| 76e624a0 | 2796 | .cfi_push %r12 |
| ec9cc70f | 2797 | push %r13 |
| 76e624a0 | 2798 | .cfi_push %r13 |
| ec9cc70f | 2799 | push %r14 |
| 76e624a0 | 2800 | .cfi_push %r14 |
| ec9cc70f | 2801 | push %r15 |
| 76e624a0 | 2802 | .cfi_push %r15 |
| 3ba1ef82 | 2803 | .Lpowerx5_prologue: |
| 8fc8f486 | 2804 | |
| ec9cc70f | 2805 | shl \$3,${num}d # convert $num to bytes |
| 8fc8f486 | 2806 | lea ($num,$num,2),%r10 # 3*$num in bytes |
| a5bb5bca | 2807 | neg $num |
| ec9cc70f | 2808 | mov ($n0),$n0 # *n0 |
| a5bb5bca | 2809 | |
| ec9cc70f | 2810 | ############################################################## |
| 8fc8f486 AP |
2811 | # Ensure that stack frame doesn't alias with $rptr+3*$num |
| 2812 | # modulo 4096, which covers ret[num], am[num] and n[num] | |
| 2813 | # (see bn_exp.c). This is done to allow memory disambiguation | |
| 2814 | # logic do its magic. [Extra 256 bytes is for power mask | |
| 2815 | # calculated from 7th argument, the index.] | |
| ec9cc70f | 2816 | # |
| 8fc8f486 | 2817 | lea -320(%rsp,$num,2),%r11 |
| 3ba1ef82 | 2818 | mov %rsp,%rbp |
| 8fc8f486 | 2819 | sub $rptr,%r11 |
| ec9cc70f AP |
2820 | and \$4095,%r11 |
| 2821 | cmp %r11,%r10 | |
| 2822 | jb .Lpwrx_sp_alt | |
| 3ba1ef82 AP |
2823 | sub %r11,%rbp # align with $aptr |
| 2824 | lea -320(%rbp,$num,2),%rbp # future alloca(frame+2*$num*8+256) | |
| ec9cc70f AP |
2825 | jmp .Lpwrx_sp_done |
| 2826 | ||
| 2827 | .align 32 | |
| 2828 | .Lpwrx_sp_alt: | |
| 8fc8f486 | 2829 | lea 4096-320(,$num,2),%r10 |
| 3ba1ef82 | 2830 | lea -320(%rbp,$num,2),%rbp # alloca(frame+2*$num*8+256) |
| ec9cc70f AP |
2831 | sub %r10,%r11 |
| 2832 | mov \$0,%r10 | |
| 2833 | cmovc %r10,%r11 | |
| 3ba1ef82 | 2834 | sub %r11,%rbp |
| ec9cc70f | 2835 | .Lpwrx_sp_done: |
| 3ba1ef82 AP |
2836 | and \$-64,%rbp |
| 2837 | mov %rsp,%r11 | |
| 2838 | sub %rbp,%r11 | |
| adc4f1fc | 2839 | and \$-4096,%r11 |
| 3ba1ef82 AP |
2840 | lea (%rbp,%r11),%rsp |
| 2841 | mov (%rsp),%r10 | |
| 2842 | cmp %rbp,%rsp | |
| 2843 | ja .Lpwrx_page_walk | |
| 2844 | jmp .Lpwrx_page_walk_done | |
| 2845 | ||
| adc4f1fc | 2846 | .Lpwrx_page_walk: |
| 3ba1ef82 AP |
2847 | lea -4096(%rsp),%rsp |
| 2848 | mov (%rsp),%r10 | |
| 2849 | cmp %rbp,%rsp | |
| 2850 | ja .Lpwrx_page_walk | |
| 2851 | .Lpwrx_page_walk_done: | |
| adc4f1fc | 2852 | |
| 609b0852 | 2853 | mov $num,%r10 |
| ec9cc70f AP |
2854 | neg $num |
| 2855 | ||
| 2856 | ############################################################## | |
| 2857 | # Stack layout | |
| 2858 | # | |
| 2859 | # +0 saved $num, used in reduction section | |
| 2860 | # +8 &t[2*$num], used in reduction section | |
| 2861 | # +16 intermediate carry bit | |
| 2862 | # +24 top-most carry bit, used in reduction section | |
| 2863 | # +32 saved *n0 | |
| 2864 | # +40 saved %rsp | |
| 2865 | # +48 t[2*$num] | |
| 2866 | # | |
| a5bb5bca | 2867 | pxor %xmm0,%xmm0 |
| ec9cc70f AP |
2868 | movq $rptr,%xmm1 # save $rptr |
| 2869 | movq $nptr,%xmm2 # save $nptr | |
| 2870 | movq %r10, %xmm3 # -$num | |
| 2871 | movq $bptr,%xmm4 | |
| 2872 | mov $n0, 32(%rsp) | |
| 2873 | mov %rax, 40(%rsp) # save original %rsp | |
| 76e624a0 | 2874 | .cfi_cfa_expression %rsp+40,deref,+8 |
| ec9cc70f AP |
2875 | .Lpowerx5_body: |
| 2876 | ||
| 2877 | call __bn_sqrx8x_internal | |
| 317be638 | 2878 | call __bn_postx4x_internal |
| ec9cc70f | 2879 | call __bn_sqrx8x_internal |
| 317be638 | 2880 | call __bn_postx4x_internal |
| ec9cc70f | 2881 | call __bn_sqrx8x_internal |
| 317be638 | 2882 | call __bn_postx4x_internal |
| ec9cc70f | 2883 | call __bn_sqrx8x_internal |
| 317be638 | 2884 | call __bn_postx4x_internal |
| ec9cc70f | 2885 | call __bn_sqrx8x_internal |
| 317be638 | 2886 | call __bn_postx4x_internal |
| ec9cc70f AP |
2887 | |
| 2888 | mov %r10,$num # -num | |
| 2889 | mov $aptr,$rptr | |
| 2890 | movq %xmm2,$nptr | |
| 2891 | movq %xmm4,$bptr | |
| 2892 | mov 40(%rsp),%rax | |
| 2893 | ||
| 2894 | call mulx4x_internal | |
| 2895 | ||
| 2896 | mov 40(%rsp),%rsi # restore %rsp | |
| 76e624a0 | 2897 | .cfi_def_cfa %rsi,8 |
| ec9cc70f | 2898 | mov \$1,%rax |
| 8fc8f486 | 2899 | |
| ec9cc70f | 2900 | mov -48(%rsi),%r15 |
| 76e624a0 | 2901 | .cfi_restore %r15 |
| ec9cc70f | 2902 | mov -40(%rsi),%r14 |
| 76e624a0 | 2903 | .cfi_restore %r14 |
| ec9cc70f | 2904 | mov -32(%rsi),%r13 |
| 76e624a0 | 2905 | .cfi_restore %r13 |
| ec9cc70f | 2906 | mov -24(%rsi),%r12 |
| 76e624a0 | 2907 | .cfi_restore %r12 |
| ec9cc70f | 2908 | mov -16(%rsi),%rbp |
| 76e624a0 | 2909 | .cfi_restore %rbp |
| ec9cc70f | 2910 | mov -8(%rsi),%rbx |
| 76e624a0 | 2911 | .cfi_restore %rbx |
| ec9cc70f | 2912 | lea (%rsi),%rsp |
| 76e624a0 | 2913 | .cfi_def_cfa_register %rsp |
| ec9cc70f AP |
2914 | .Lpowerx5_epilogue: |
| 2915 | ret | |
| 76e624a0 | 2916 | .cfi_endproc |
| ec9cc70f | 2917 | .size bn_powerx5,.-bn_powerx5 |
| a5bb5bca | 2918 | |
| ec9cc70f AP |
2919 | .globl bn_sqrx8x_internal |
| 2920 | .hidden bn_sqrx8x_internal | |
| 2921 | .type bn_sqrx8x_internal,\@abi-omnipotent | |
| a5bb5bca | 2922 | .align 32 |
| ec9cc70f AP |
2923 | bn_sqrx8x_internal: |
| 2924 | __bn_sqrx8x_internal: | |
| c0e8e500 | 2925 | .cfi_startproc |
| ec9cc70f AP |
2926 | ################################################################## |
| 2927 | # Squaring part: | |
| 2928 | # | |
| 2929 | # a) multiply-n-add everything but a[i]*a[i]; | |
| 2930 | # b) shift result of a) by 1 to the left and accumulate | |
| 2931 | # a[i]*a[i] products; | |
| 2932 | # | |
| 2933 | ################################################################## | |
| 2934 | # 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] | |
| 2935 | # a[1]a[0] | |
| 2936 | # a[2]a[0] | |
| 2937 | # a[3]a[0] | |
| 2938 | # a[2]a[1] | |
| 2939 | # a[3]a[1] | |
| 2940 | # a[3]a[2] | |
| 2941 | # | |
| 2942 | # a[4]a[0] | |
| 2943 | # a[5]a[0] | |
| 2944 | # a[6]a[0] | |
| 2945 | # a[7]a[0] | |
| 2946 | # a[4]a[1] | |
| 2947 | # a[5]a[1] | |
| 2948 | # a[6]a[1] | |
| 2949 | # a[7]a[1] | |
| 2950 | # a[4]a[2] | |
| 2951 | # a[5]a[2] | |
| 2952 | # a[6]a[2] | |
| 2953 | # a[7]a[2] | |
| 2954 | # a[4]a[3] | |
| 2955 | # a[5]a[3] | |
| 2956 | # a[6]a[3] | |
| 2957 | # a[7]a[3] | |
| 2958 | # | |
| 2959 | # a[5]a[4] | |
| 2960 | # a[6]a[4] | |
| 2961 | # a[7]a[4] | |
| 2962 | # a[6]a[5] | |
| 2963 | # a[7]a[5] | |
| 2964 | # a[7]a[6] | |
| 2965 | # 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] | |
| 2966 | ___ | |
| 2967 | { | |
| 2968 | my ($zero,$carry)=("%rbp","%rcx"); | |
| 2969 | my $aaptr=$zero; | |
| 2970 | $code.=<<___; | |
| 2971 | lea 48+8(%rsp),$tptr | |
| 2972 | lea ($aptr,$num),$aaptr | |
| 2973 | mov $num,0+8(%rsp) # save $num | |
| 2974 | mov $aaptr,8+8(%rsp) # save end of $aptr | |
| 2975 | jmp .Lsqr8x_zero_start | |
| 2976 | ||
| 2977 | .align 32 | |
| 2978 | .byte 0x66,0x66,0x66,0x2e,0x0f,0x1f,0x84,0x00,0x00,0x00,0x00,0x00 | |
| 2979 | .Lsqrx8x_zero: | |
| 2980 | .byte 0x3e | |
| 2981 | movdqa %xmm0,0*8($tptr) | |
| 2982 | movdqa %xmm0,2*8($tptr) | |
| 2983 | movdqa %xmm0,4*8($tptr) | |
| 2984 | movdqa %xmm0,6*8($tptr) | |
| 2985 | .Lsqr8x_zero_start: # aligned at 32 | |
| 2986 | movdqa %xmm0,8*8($tptr) | |
| 2987 | movdqa %xmm0,10*8($tptr) | |
| 2988 | movdqa %xmm0,12*8($tptr) | |
| 2989 | movdqa %xmm0,14*8($tptr) | |
| 2990 | lea 16*8($tptr),$tptr | |
| 2991 | sub \$64,$num | |
| 2992 | jnz .Lsqrx8x_zero | |
| 2993 | ||
| 2994 | mov 0*8($aptr),%rdx # a[0], modulo-scheduled | |
| 2995 | #xor %r9,%r9 # t[1], ex-$num, zero already | |
| 2996 | xor %r10,%r10 | |
| 2997 | xor %r11,%r11 | |
| 2998 | xor %r12,%r12 | |
| 2999 | xor %r13,%r13 | |
| 3000 | xor %r14,%r14 | |
| 3001 | xor %r15,%r15 | |
| 3002 | lea 48+8(%rsp),$tptr | |
| 3003 | xor $zero,$zero # cf=0, cf=0 | |
| 3004 | jmp .Lsqrx8x_outer_loop | |
| 3005 | ||
| 3006 | .align 32 | |
| 3007 | .Lsqrx8x_outer_loop: | |
| 3008 | mulx 1*8($aptr),%r8,%rax # a[1]*a[0] | |
| 3009 | adcx %r9,%r8 # a[1]*a[0]+=t[1] | |
| 3010 | adox %rax,%r10 | |
| 3011 | mulx 2*8($aptr),%r9,%rax # a[2]*a[0] | |
| 3012 | adcx %r10,%r9 | |
| 3013 | adox %rax,%r11 | |
| 3014 | .byte 0xc4,0xe2,0xab,0xf6,0x86,0x18,0x00,0x00,0x00 # mulx 3*8($aptr),%r10,%rax # ... | |
| 3015 | adcx %r11,%r10 | |
| 3016 | adox %rax,%r12 | |
| 3017 | .byte 0xc4,0xe2,0xa3,0xf6,0x86,0x20,0x00,0x00,0x00 # mulx 4*8($aptr),%r11,%rax | |
| 3018 | adcx %r12,%r11 | |
| 3019 | adox %rax,%r13 | |
| 3020 | mulx 5*8($aptr),%r12,%rax | |
| 3021 | adcx %r13,%r12 | |
| 3022 | adox %rax,%r14 | |
| 3023 | mulx 6*8($aptr),%r13,%rax | |
| 3024 | adcx %r14,%r13 | |
| 3025 | adox %r15,%rax | |
| 3026 | mulx 7*8($aptr),%r14,%r15 | |
| 3027 | mov 1*8($aptr),%rdx # a[1] | |
| 3028 | adcx %rax,%r14 | |
| 3029 | adox $zero,%r15 | |
| 3030 | adc 8*8($tptr),%r15 | |
| 3031 | mov %r8,1*8($tptr) # t[1] | |
| 3032 | mov %r9,2*8($tptr) # t[2] | |
| 3033 | sbb $carry,$carry # mov %cf,$carry | |
| 3034 | xor $zero,$zero # cf=0, of=0 | |
| 3035 | ||
| 3036 | ||
| 3037 | mulx 2*8($aptr),%r8,%rbx # a[2]*a[1] | |
| 3038 | mulx 3*8($aptr),%r9,%rax # a[3]*a[1] | |
| 3039 | adcx %r10,%r8 | |
| 3040 | adox %rbx,%r9 | |
| 3041 | mulx 4*8($aptr),%r10,%rbx # ... | |
| 3042 | adcx %r11,%r9 | |
| 3043 | adox %rax,%r10 | |
| 3044 | .byte 0xc4,0xe2,0xa3,0xf6,0x86,0x28,0x00,0x00,0x00 # mulx 5*8($aptr),%r11,%rax | |
| 3045 | adcx %r12,%r10 | |
| 3046 | adox %rbx,%r11 | |
| 3047 | .byte 0xc4,0xe2,0x9b,0xf6,0x9e,0x30,0x00,0x00,0x00 # mulx 6*8($aptr),%r12,%rbx | |
| 3048 | adcx %r13,%r11 | |
| 3049 | adox %r14,%r12 | |
| 3050 | .byte 0xc4,0x62,0x93,0xf6,0xb6,0x38,0x00,0x00,0x00 # mulx 7*8($aptr),%r13,%r14 | |
| 3051 | mov 2*8($aptr),%rdx # a[2] | |
| 3052 | adcx %rax,%r12 | |
| 3053 | adox %rbx,%r13 | |
| 3054 | adcx %r15,%r13 | |
| 3055 | adox $zero,%r14 # of=0 | |
| 3056 | adcx $zero,%r14 # cf=0 | |
| 3057 | ||
| 3058 | mov %r8,3*8($tptr) # t[3] | |
| 3059 | mov %r9,4*8($tptr) # t[4] | |
| 3060 | ||
| 3061 | mulx 3*8($aptr),%r8,%rbx # a[3]*a[2] | |
| 3062 | mulx 4*8($aptr),%r9,%rax # a[4]*a[2] | |
| 3063 | adcx %r10,%r8 | |
| 3064 | adox %rbx,%r9 | |
| 3065 | mulx 5*8($aptr),%r10,%rbx # ... | |
| 3066 | adcx %r11,%r9 | |
| 3067 | adox %rax,%r10 | |
| 3068 | .byte 0xc4,0xe2,0xa3,0xf6,0x86,0x30,0x00,0x00,0x00 # mulx 6*8($aptr),%r11,%rax | |
| 3069 | adcx %r12,%r10 | |
| 3070 | adox %r13,%r11 | |
| 3071 | .byte 0xc4,0x62,0x9b,0xf6,0xae,0x38,0x00,0x00,0x00 # mulx 7*8($aptr),%r12,%r13 | |
| 3072 | .byte 0x3e | |
| 3073 | mov 3*8($aptr),%rdx # a[3] | |
| 3074 | adcx %rbx,%r11 | |
| 3075 | adox %rax,%r12 | |
| 3076 | adcx %r14,%r12 | |
| 3077 | mov %r8,5*8($tptr) # t[5] | |
| 3078 | mov %r9,6*8($tptr) # t[6] | |
| 3079 | mulx 4*8($aptr),%r8,%rax # a[4]*a[3] | |
| 3080 | adox $zero,%r13 # of=0 | |
| 3081 | adcx $zero,%r13 # cf=0 | |
| 3082 | ||
| 3083 | mulx 5*8($aptr),%r9,%rbx # a[5]*a[3] | |
| 3084 | adcx %r10,%r8 | |
| 3085 | adox %rax,%r9 | |
| 3086 | mulx 6*8($aptr),%r10,%rax # ... | |
| 3087 | adcx %r11,%r9 | |
| 3088 | adox %r12,%r10 | |
| 3089 | mulx 7*8($aptr),%r11,%r12 | |
| 3090 | mov 4*8($aptr),%rdx # a[4] | |
| 3091 | mov 5*8($aptr),%r14 # a[5] | |
| 3092 | adcx %rbx,%r10 | |
| 3093 | adox %rax,%r11 | |
| 3094 | mov 6*8($aptr),%r15 # a[6] | |
| 3095 | adcx %r13,%r11 | |
| 3096 | adox $zero,%r12 # of=0 | |
| 3097 | adcx $zero,%r12 # cf=0 | |
| 3098 | ||
| 3099 | mov %r8,7*8($tptr) # t[7] | |
| 3100 | mov %r9,8*8($tptr) # t[8] | |
| 3101 | ||
| 3102 | mulx %r14,%r9,%rax # a[5]*a[4] | |
| 3103 | mov 7*8($aptr),%r8 # a[7] | |
| 3104 | adcx %r10,%r9 | |
| 3105 | mulx %r15,%r10,%rbx # a[6]*a[4] | |
| 3106 | adox %rax,%r10 | |
| 3107 | adcx %r11,%r10 | |
| 3108 | mulx %r8,%r11,%rax # a[7]*a[4] | |
| 3109 | mov %r14,%rdx # a[5] | |
| 3110 | adox %rbx,%r11 | |
| 3111 | adcx %r12,%r11 | |
| 3112 | #adox $zero,%rax # of=0 | |
| 3113 | adcx $zero,%rax # cf=0 | |
| 3114 | ||
| 3115 | mulx %r15,%r14,%rbx # a[6]*a[5] | |
| 3116 | mulx %r8,%r12,%r13 # a[7]*a[5] | |
| 3117 | mov %r15,%rdx # a[6] | |
| 3118 | lea 8*8($aptr),$aptr | |
| 3119 | adcx %r14,%r11 | |
| 3120 | adox %rbx,%r12 | |
| 3121 | adcx %rax,%r12 | |
| 3122 | adox $zero,%r13 | |
| 3123 | ||
| 3124 | .byte 0x67,0x67 | |
| 3125 | mulx %r8,%r8,%r14 # a[7]*a[6] | |
| 3126 | adcx %r8,%r13 | |
| 3127 | adcx $zero,%r14 | |
| 3128 | ||
| 3129 | cmp 8+8(%rsp),$aptr | |
| 3130 | je .Lsqrx8x_outer_break | |
| 3131 | ||
| 3132 | neg $carry # mov $carry,%cf | |
| 3133 | mov \$-8,%rcx | |
| 3134 | mov $zero,%r15 | |
| 3135 | mov 8*8($tptr),%r8 | |
| 3136 | adcx 9*8($tptr),%r9 # +=t[9] | |
| 3137 | adcx 10*8($tptr),%r10 # ... | |
| 3138 | adcx 11*8($tptr),%r11 | |
| 3139 | adc 12*8($tptr),%r12 | |
| 3140 | adc 13*8($tptr),%r13 | |
| 3141 | adc 14*8($tptr),%r14 | |
| 3142 | adc 15*8($tptr),%r15 | |
| 3143 | lea ($aptr),$aaptr | |
| 3144 | lea 2*64($tptr),$tptr | |
| 3145 | sbb %rax,%rax # mov %cf,$carry | |
| 3146 | ||
| 3147 | mov -64($aptr),%rdx # a[0] | |
| 3148 | mov %rax,16+8(%rsp) # offload $carry | |
| 3149 | mov $tptr,24+8(%rsp) | |
| 3150 | ||
| 3151 | #lea 8*8($tptr),$tptr # see 2*8*8($tptr) above | |
| 3152 | xor %eax,%eax # cf=0, of=0 | |
| 3153 | jmp .Lsqrx8x_loop | |
| 3154 | ||
| 3155 | .align 32 | |
| 3156 | .Lsqrx8x_loop: | |
| 3157 | mov %r8,%rbx | |
| 3158 | mulx 0*8($aaptr),%rax,%r8 # a[8]*a[i] | |
| 3159 | adcx %rax,%rbx # +=t[8] | |
| 3160 | adox %r9,%r8 | |
| 3161 | ||
| 3162 | mulx 1*8($aaptr),%rax,%r9 # ... | |
| 3163 | adcx %rax,%r8 | |
| 3164 | adox %r10,%r9 | |
| 3165 | ||
| 3166 | mulx 2*8($aaptr),%rax,%r10 | |
| 3167 | adcx %rax,%r9 | |
| 3168 | adox %r11,%r10 | |
| 3169 | ||
| 3170 | mulx 3*8($aaptr),%rax,%r11 | |
| 3171 | adcx %rax,%r10 | |
| 3172 | adox %r12,%r11 | |
| 3173 | ||
| 3174 | .byte 0xc4,0x62,0xfb,0xf6,0xa5,0x20,0x00,0x00,0x00 # mulx 4*8($aaptr),%rax,%r12 | |
| 3175 | adcx %rax,%r11 | |
| 3176 | adox %r13,%r12 | |
| 3177 | ||
| 3178 | mulx 5*8($aaptr),%rax,%r13 | |
| 3179 | adcx %rax,%r12 | |
| 3180 | adox %r14,%r13 | |
| 3181 | ||
| 3182 | mulx 6*8($aaptr),%rax,%r14 | |
| 3183 | mov %rbx,($tptr,%rcx,8) # store t[8+i] | |
| 3184 | mov \$0,%ebx | |
| 3185 | adcx %rax,%r13 | |
| 3186 | adox %r15,%r14 | |
| 3187 | ||
| 3188 | .byte 0xc4,0x62,0xfb,0xf6,0xbd,0x38,0x00,0x00,0x00 # mulx 7*8($aaptr),%rax,%r15 | |
| 3189 | mov 8($aptr,%rcx,8),%rdx # a[i] | |
| 3190 | adcx %rax,%r14 | |
| 3191 | adox %rbx,%r15 # %rbx is 0, of=0 | |
| 3192 | adcx %rbx,%r15 # cf=0 | |
| 3193 | ||
| 3194 | .byte 0x67 | |
| 3195 | inc %rcx # of=0 | |
| 3196 | jnz .Lsqrx8x_loop | |
| 3197 | ||
| 3198 | lea 8*8($aaptr),$aaptr | |
| 3199 | mov \$-8,%rcx | |
| 3200 | cmp 8+8(%rsp),$aaptr # done? | |
| 3201 | je .Lsqrx8x_break | |
| 3202 | ||
| 3203 | sub 16+8(%rsp),%rbx # mov 16(%rsp),%cf | |
| 3204 | .byte 0x66 | |
| 3205 | mov -64($aptr),%rdx | |
| 3206 | adcx 0*8($tptr),%r8 | |
| 3207 | adcx 1*8($tptr),%r9 | |
| a5bb5bca AP |
3208 | adc 2*8($tptr),%r10 |
| 3209 | adc 3*8($tptr),%r11 | |
| ec9cc70f AP |
3210 | adc 4*8($tptr),%r12 |
| 3211 | adc 5*8($tptr),%r13 | |
| 3212 | adc 6*8($tptr),%r14 | |
| 3213 | adc 7*8($tptr),%r15 | |
| 3214 | lea 8*8($tptr),$tptr | |
| 3215 | .byte 0x67 | |
| 3216 | sbb %rax,%rax # mov %cf,%rax | |
| 3217 | xor %ebx,%ebx # cf=0, of=0 | |
| 3218 | mov %rax,16+8(%rsp) # offload carry | |
| 3219 | jmp .Lsqrx8x_loop | |
| a5bb5bca | 3220 | |
| ec9cc70f AP |
3221 | .align 32 |
| 3222 | .Lsqrx8x_break: | |
| 668a709a AP |
3223 | xor $zero,$zero |
| 3224 | sub 16+8(%rsp),%rbx # mov 16(%rsp),%cf | |
| 3225 | adcx $zero,%r8 | |
| ec9cc70f | 3226 | mov 24+8(%rsp),$carry # initial $tptr, borrow $carry |
| 668a709a | 3227 | adcx $zero,%r9 |
| ec9cc70f | 3228 | mov 0*8($aptr),%rdx # a[8], modulo-scheduled |
| 668a709a | 3229 | adc \$0,%r10 |
| ec9cc70f | 3230 | mov %r8,0*8($tptr) |
| 668a709a AP |
3231 | adc \$0,%r11 |
| 3232 | adc \$0,%r12 | |
| 3233 | adc \$0,%r13 | |
| 3234 | adc \$0,%r14 | |
| 3235 | adc \$0,%r15 | |
| ec9cc70f AP |
3236 | cmp $carry,$tptr # cf=0, of=0 |
| 3237 | je .Lsqrx8x_outer_loop | |
| 3238 | ||
| 3239 | mov %r9,1*8($tptr) | |
| 3240 | mov 1*8($carry),%r9 | |
| 3241 | mov %r10,2*8($tptr) | |
| 3242 | mov 2*8($carry),%r10 | |
| 3243 | mov %r11,3*8($tptr) | |
| 3244 | mov 3*8($carry),%r11 | |
| 3245 | mov %r12,4*8($tptr) | |
| 3246 | mov 4*8($carry),%r12 | |
| 3247 | mov %r13,5*8($tptr) | |
| 3248 | mov 5*8($carry),%r13 | |
| 3249 | mov %r14,6*8($tptr) | |
| 3250 | mov 6*8($carry),%r14 | |
| 3251 | mov %r15,7*8($tptr) | |
| 3252 | mov 7*8($carry),%r15 | |
| 3253 | mov $carry,$tptr | |
| 3254 | jmp .Lsqrx8x_outer_loop | |
| a5bb5bca | 3255 | |
| ec9cc70f AP |
3256 | .align 32 |
| 3257 | .Lsqrx8x_outer_break: | |
| 3258 | mov %r9,9*8($tptr) # t[9] | |
| 3259 | movq %xmm3,%rcx # -$num | |
| 3260 | mov %r10,10*8($tptr) # ... | |
| 3261 | mov %r11,11*8($tptr) | |
| 3262 | mov %r12,12*8($tptr) | |
| 3263 | mov %r13,13*8($tptr) | |
| 3264 | mov %r14,14*8($tptr) | |
| 3265 | ___ | |
| 3266 | }\f{ | |
| 3267 | my $i="%rcx"; | |
| 3268 | $code.=<<___; | |
| 3269 | lea 48+8(%rsp),$tptr | |
| 3270 | mov ($aptr,$i),%rdx # a[0] | |
| a5bb5bca | 3271 | |
| ec9cc70f AP |
3272 | mov 8($tptr),$A0[1] # t[1] |
| 3273 | xor $A0[0],$A0[0] # t[0], of=0, cf=0 | |
| 3274 | mov 0+8(%rsp),$num # restore $num | |
| 3275 | adox $A0[1],$A0[1] | |
| 3276 | mov 16($tptr),$A1[0] # t[2] # prefetch | |
| 3277 | mov 24($tptr),$A1[1] # t[3] # prefetch | |
| 3278 | #jmp .Lsqrx4x_shift_n_add # happens to be aligned | |
| 3279 | ||
| 3280 | .align 32 | |
| 3281 | .Lsqrx4x_shift_n_add: | |
| 3282 | mulx %rdx,%rax,%rbx | |
| 3283 | adox $A1[0],$A1[0] | |
| 3284 | adcx $A0[0],%rax | |
| 3285 | .byte 0x48,0x8b,0x94,0x0e,0x08,0x00,0x00,0x00 # mov 8($aptr,$i),%rdx # a[i+1] # prefetch | |
| 3286 | .byte 0x4c,0x8b,0x97,0x20,0x00,0x00,0x00 # mov 32($tptr),$A0[0] # t[2*i+4] # prefetch | |
| 3287 | adox $A1[1],$A1[1] | |
| 3288 | adcx $A0[1],%rbx | |
| 3289 | mov 40($tptr),$A0[1] # t[2*i+4+1] # prefetch | |
| 3290 | mov %rax,0($tptr) | |
| 3291 | mov %rbx,8($tptr) | |
| 3292 | ||
| 3293 | mulx %rdx,%rax,%rbx | |
| 3294 | adox $A0[0],$A0[0] | |
| 3295 | adcx $A1[0],%rax | |
| 3296 | mov 16($aptr,$i),%rdx # a[i+2] # prefetch | |
| 3297 | mov 48($tptr),$A1[0] # t[2*i+6] # prefetch | |
| 3298 | adox $A0[1],$A0[1] | |
| 3299 | adcx $A1[1],%rbx | |
| 3300 | mov 56($tptr),$A1[1] # t[2*i+6+1] # prefetch | |
| 3301 | mov %rax,16($tptr) | |
| 3302 | mov %rbx,24($tptr) | |
| 3303 | ||
| 3304 | mulx %rdx,%rax,%rbx | |
| 3305 | adox $A1[0],$A1[0] | |
| 3306 | adcx $A0[0],%rax | |
| 3307 | mov 24($aptr,$i),%rdx # a[i+3] # prefetch | |
| 3308 | lea 32($i),$i | |
| 3309 | mov 64($tptr),$A0[0] # t[2*i+8] # prefetch | |
| 3310 | adox $A1[1],$A1[1] | |
| 3311 | adcx $A0[1],%rbx | |
| 3312 | mov 72($tptr),$A0[1] # t[2*i+8+1] # prefetch | |
| 3313 | mov %rax,32($tptr) | |
| 3314 | mov %rbx,40($tptr) | |
| 3315 | ||
| 3316 | mulx %rdx,%rax,%rbx | |
| 3317 | adox $A0[0],$A0[0] | |
| 3318 | adcx $A1[0],%rax | |
| 3319 | jrcxz .Lsqrx4x_shift_n_add_break | |
| 3320 | .byte 0x48,0x8b,0x94,0x0e,0x00,0x00,0x00,0x00 # mov 0($aptr,$i),%rdx # a[i+4] # prefetch | |
| 3321 | adox $A0[1],$A0[1] | |
| 3322 | adcx $A1[1],%rbx | |
| 3323 | mov 80($tptr),$A1[0] # t[2*i+10] # prefetch | |
| 3324 | mov 88($tptr),$A1[1] # t[2*i+10+1] # prefetch | |
| 3325 | mov %rax,48($tptr) | |
| 3326 | mov %rbx,56($tptr) | |
| 3327 | lea 64($tptr),$tptr | |
| 3328 | nop | |
| 3329 | jmp .Lsqrx4x_shift_n_add | |
| 3330 | ||
| 3331 | .align 32 | |
| 3332 | .Lsqrx4x_shift_n_add_break: | |
| 3333 | adcx $A1[1],%rbx | |
| 3334 | mov %rax,48($tptr) | |
| 3335 | mov %rbx,56($tptr) | |
| 3336 | lea 64($tptr),$tptr # end of t[] buffer | |
| a5bb5bca | 3337 | ___ |
| ec9cc70f AP |
3338 | }\f |
| 3339 | ###################################################################### | |
| 3340 | # Montgomery reduction part, "word-by-word" algorithm. | |
| 3341 | # | |
| 3342 | # This new path is inspired by multiple submissions from Intel, by | |
| 3343 | # Shay Gueron, Vlad Krasnov, Erdinc Ozturk, James Guilford, | |
| 3344 | # Vinodh Gopal... | |
| 3345 | { | |
| 3346 | my ($nptr,$carry,$m0)=("%rbp","%rsi","%rdx"); | |
| 3347 | ||
| 3348 | $code.=<<___; | |
| 3349 | movq %xmm2,$nptr | |
| 317be638 | 3350 | __bn_sqrx8x_reduction: |
| ec9cc70f AP |
3351 | xor %eax,%eax # initial top-most carry bit |
| 3352 | mov 32+8(%rsp),%rbx # n0 | |
| 3353 | mov 48+8(%rsp),%rdx # "%r8", 8*0($tptr) | |
| 8fc8f486 | 3354 | lea -8*8($nptr,$num),%rcx # end of n[] |
| ec9cc70f AP |
3355 | #lea 48+8(%rsp,$num,2),$tptr # end of t[] buffer |
| 3356 | mov %rcx, 0+8(%rsp) # save end of n[] | |
| 3357 | mov $tptr,8+8(%rsp) # save end of t[] | |
| 3358 | ||
| 3359 | lea 48+8(%rsp),$tptr # initial t[] window | |
| 3360 | jmp .Lsqrx8x_reduction_loop | |
| 3361 | ||
| 3362 | .align 32 | |
| 3363 | .Lsqrx8x_reduction_loop: | |
| 3364 | mov 8*1($tptr),%r9 | |
| 3365 | mov 8*2($tptr),%r10 | |
| 3366 | mov 8*3($tptr),%r11 | |
| 3367 | mov 8*4($tptr),%r12 | |
| 3368 | mov %rdx,%r8 | |
| 3369 | imulq %rbx,%rdx # n0*a[i] | |
| 3370 | mov 8*5($tptr),%r13 | |
| 3371 | mov 8*6($tptr),%r14 | |
| 3372 | mov 8*7($tptr),%r15 | |
| 3373 | mov %rax,24+8(%rsp) # store top-most carry bit | |
| 3374 | ||
| 3375 | lea 8*8($tptr),$tptr | |
| 3376 | xor $carry,$carry # cf=0,of=0 | |
| 3377 | mov \$-8,%rcx | |
| 3378 | jmp .Lsqrx8x_reduce | |
| 3379 | ||
| 3380 | .align 32 | |
| 3381 | .Lsqrx8x_reduce: | |
| 3382 | mov %r8, %rbx | |
| 8fc8f486 | 3383 | mulx 8*0($nptr),%rax,%r8 # n[0] |
| ec9cc70f AP |
3384 | adcx %rbx,%rax # discarded |
| 3385 | adox %r9,%r8 | |
| 3386 | ||
| 8fc8f486 | 3387 | mulx 8*1($nptr),%rbx,%r9 # n[1] |
| ec9cc70f AP |
3388 | adcx %rbx,%r8 |
| 3389 | adox %r10,%r9 | |
| 3390 | ||
| 8fc8f486 | 3391 | mulx 8*2($nptr),%rbx,%r10 |
| ec9cc70f AP |
3392 | adcx %rbx,%r9 |
| 3393 | adox %r11,%r10 | |
| 3394 | ||
| 8fc8f486 | 3395 | mulx 8*3($nptr),%rbx,%r11 |
| ec9cc70f AP |
3396 | adcx %rbx,%r10 |
| 3397 | adox %r12,%r11 | |
| 3398 | ||
| 8fc8f486 | 3399 | .byte 0xc4,0x62,0xe3,0xf6,0xa5,0x20,0x00,0x00,0x00 # mulx 8*4($nptr),%rbx,%r12 |
| ec9cc70f AP |
3400 | mov %rdx,%rax |
| 3401 | mov %r8,%rdx | |
| 3402 | adcx %rbx,%r11 | |
| 3403 | adox %r13,%r12 | |
| 3404 | ||
| 3405 | mulx 32+8(%rsp),%rbx,%rdx # %rdx discarded | |
| 3406 | mov %rax,%rdx | |
| 3407 | mov %rax,64+48+8(%rsp,%rcx,8) # put aside n0*a[i] | |
| 3408 | ||
| 8fc8f486 | 3409 | mulx 8*5($nptr),%rax,%r13 |
| ec9cc70f AP |
3410 | adcx %rax,%r12 |
| 3411 | adox %r14,%r13 | |
| 3412 | ||
| 8fc8f486 | 3413 | mulx 8*6($nptr),%rax,%r14 |
| ec9cc70f AP |
3414 | adcx %rax,%r13 |
| 3415 | adox %r15,%r14 | |
| 3416 | ||
| 8fc8f486 | 3417 | mulx 8*7($nptr),%rax,%r15 |
| ec9cc70f AP |
3418 | mov %rbx,%rdx |
| 3419 | adcx %rax,%r14 | |
| 3420 | adox $carry,%r15 # $carry is 0 | |
| 3421 | adcx $carry,%r15 # cf=0 | |
| 3422 | ||
| 3423 | .byte 0x67,0x67,0x67 | |
| 3424 | inc %rcx # of=0 | |
| 3425 | jnz .Lsqrx8x_reduce | |
| 3426 | ||
| 3427 | mov $carry,%rax # xor %rax,%rax | |
| 3428 | cmp 0+8(%rsp),$nptr # end of n[]? | |
| 3429 | jae .Lsqrx8x_no_tail | |
| 3430 | ||
| 3431 | mov 48+8(%rsp),%rdx # pull n0*a[0] | |
| 3432 | add 8*0($tptr),%r8 | |
| 8fc8f486 | 3433 | lea 8*8($nptr),$nptr |
| ec9cc70f AP |
3434 | mov \$-8,%rcx |
| 3435 | adcx 8*1($tptr),%r9 | |
| 3436 | adcx 8*2($tptr),%r10 | |
| 3437 | adc 8*3($tptr),%r11 | |
| 3438 | adc 8*4($tptr),%r12 | |
| 3439 | adc 8*5($tptr),%r13 | |
| 3440 | adc 8*6($tptr),%r14 | |
| 3441 | adc 8*7($tptr),%r15 | |
| 3442 | lea 8*8($tptr),$tptr | |
| 3443 | sbb %rax,%rax # top carry | |
| 3444 | ||
| 3445 | xor $carry,$carry # of=0, cf=0 | |
| 3446 | mov %rax,16+8(%rsp) | |
| 3447 | jmp .Lsqrx8x_tail | |
| 3448 | ||
| 3449 | .align 32 | |
| 3450 | .Lsqrx8x_tail: | |
| 3451 | mov %r8,%rbx | |
| 8fc8f486 | 3452 | mulx 8*0($nptr),%rax,%r8 |
| ec9cc70f AP |
3453 | adcx %rax,%rbx |
| 3454 | adox %r9,%r8 | |
| 3455 | ||
| 8fc8f486 | 3456 | mulx 8*1($nptr),%rax,%r9 |
| ec9cc70f AP |
3457 | adcx %rax,%r8 |
| 3458 | adox %r10,%r9 | |
| 3459 | ||
| 8fc8f486 | 3460 | mulx 8*2($nptr),%rax,%r10 |
| ec9cc70f AP |
3461 | adcx %rax,%r9 |
| 3462 | adox %r11,%r10 | |
| 3463 | ||
| 8fc8f486 | 3464 | mulx 8*3($nptr),%rax,%r11 |
| ec9cc70f AP |
3465 | adcx %rax,%r10 |
| 3466 | adox %r12,%r11 | |
| 3467 | ||
| 8fc8f486 | 3468 | .byte 0xc4,0x62,0xfb,0xf6,0xa5,0x20,0x00,0x00,0x00 # mulx 8*4($nptr),%rax,%r12 |
| ec9cc70f AP |
3469 | adcx %rax,%r11 |
| 3470 | adox %r13,%r12 | |
| 3471 | ||
| 8fc8f486 | 3472 | mulx 8*5($nptr),%rax,%r13 |
| ec9cc70f AP |
3473 | adcx %rax,%r12 |
| 3474 | adox %r14,%r13 | |
| 3475 | ||
| 8fc8f486 | 3476 | mulx 8*6($nptr),%rax,%r14 |
| ec9cc70f AP |
3477 | adcx %rax,%r13 |
| 3478 | adox %r15,%r14 | |
| 3479 | ||
| 8fc8f486 | 3480 | mulx 8*7($nptr),%rax,%r15 |
| ec9cc70f AP |
3481 | mov 72+48+8(%rsp,%rcx,8),%rdx # pull n0*a[i] |
| 3482 | adcx %rax,%r14 | |
| 3483 | adox $carry,%r15 | |
| 3484 | mov %rbx,($tptr,%rcx,8) # save result | |
| 3485 | mov %r8,%rbx | |
| 3486 | adcx $carry,%r15 # cf=0 | |
| 3487 | ||
| 3488 | inc %rcx # of=0 | |
| 3489 | jnz .Lsqrx8x_tail | |
| 3490 | ||
| 3491 | cmp 0+8(%rsp),$nptr # end of n[]? | |
| 3492 | jae .Lsqrx8x_tail_done # break out of loop | |
| 3493 | ||
| 3494 | sub 16+8(%rsp),$carry # mov 16(%rsp),%cf | |
| 3495 | mov 48+8(%rsp),%rdx # pull n0*a[0] | |
| 8fc8f486 | 3496 | lea 8*8($nptr),$nptr |
| ec9cc70f AP |
3497 | adc 8*0($tptr),%r8 |
| 3498 | adc 8*1($tptr),%r9 | |
| 3499 | adc 8*2($tptr),%r10 | |
| 3500 | adc 8*3($tptr),%r11 | |
| 3501 | adc 8*4($tptr),%r12 | |
| 3502 | adc 8*5($tptr),%r13 | |
| 3503 | adc 8*6($tptr),%r14 | |
| 3504 | adc 8*7($tptr),%r15 | |
| 3505 | lea 8*8($tptr),$tptr | |
| 3506 | sbb %rax,%rax | |
| 3507 | sub \$8,%rcx # mov \$-8,%rcx | |
| 3508 | ||
| 3509 | xor $carry,$carry # of=0, cf=0 | |
| 3510 | mov %rax,16+8(%rsp) | |
| 3511 | jmp .Lsqrx8x_tail | |
| 3512 | ||
| 3513 | .align 32 | |
| 3514 | .Lsqrx8x_tail_done: | |
| 3f4bcf5b | 3515 | xor %rax,%rax |
| ec9cc70f | 3516 | add 24+8(%rsp),%r8 # can this overflow? |
| 29851264 AP |
3517 | adc \$0,%r9 |
| 3518 | adc \$0,%r10 | |
| 3519 | adc \$0,%r11 | |
| 3520 | adc \$0,%r12 | |
| 3521 | adc \$0,%r13 | |
| 3522 | adc \$0,%r14 | |
| 3f4bcf5b AP |
3523 | adc \$0,%r15 |
| 3524 | adc \$0,%rax | |
| ec9cc70f AP |
3525 | |
| 3526 | sub 16+8(%rsp),$carry # mov 16(%rsp),%cf | |
| 3527 | .Lsqrx8x_no_tail: # %cf is 0 if jumped here | |
| 3528 | adc 8*0($tptr),%r8 | |
| 3529 | movq %xmm3,%rcx | |
| 3530 | adc 8*1($tptr),%r9 | |
| 8fc8f486 | 3531 | mov 8*7($nptr),$carry |
| ec9cc70f AP |
3532 | movq %xmm2,$nptr # restore $nptr |
| 3533 | adc 8*2($tptr),%r10 | |
| 3534 | adc 8*3($tptr),%r11 | |
| 3535 | adc 8*4($tptr),%r12 | |
| 3536 | adc 8*5($tptr),%r13 | |
| 3537 | adc 8*6($tptr),%r14 | |
| 3538 | adc 8*7($tptr),%r15 | |
| 3f4bcf5b | 3539 | adc \$0,%rax # top-most carry |
| ec9cc70f AP |
3540 | |
| 3541 | mov 32+8(%rsp),%rbx # n0 | |
| 3542 | mov 8*8($tptr,%rcx),%rdx # modulo-scheduled "%r8" | |
| 3543 | ||
| 3544 | mov %r8,8*0($tptr) # store top 512 bits | |
| 3545 | lea 8*8($tptr),%r8 # borrow %r8 | |
| 3546 | mov %r9,8*1($tptr) | |
| 3547 | mov %r10,8*2($tptr) | |
| 3548 | mov %r11,8*3($tptr) | |
| 3549 | mov %r12,8*4($tptr) | |
| 3550 | mov %r13,8*5($tptr) | |
| 3551 | mov %r14,8*6($tptr) | |
| 3552 | mov %r15,8*7($tptr) | |
| 3553 | ||
| 3554 | lea 8*8($tptr,%rcx),$tptr # start of current t[] window | |
| 3555 | cmp 8+8(%rsp),%r8 # end of t[]? | |
| 3556 | jb .Lsqrx8x_reduction_loop | |
| 317be638 | 3557 | ret |
| c0e8e500 | 3558 | .cfi_endproc |
| 317be638 | 3559 | .size bn_sqrx8x_internal,.-bn_sqrx8x_internal |
| a5bb5bca | 3560 | ___ |
| ec9cc70f AP |
3561 | }\f |
| 3562 | ############################################################## | |
| 3563 | # Post-condition, 4x unrolled | |
| 3564 | # | |
| 3565 | { | |
| 3566 | my ($rptr,$nptr)=("%rdx","%rbp"); | |
| a5bb5bca | 3567 | $code.=<<___; |
| 317be638 AP |
3568 | .align 32 |
| 3569 | __bn_postx4x_internal: | |
| 0190c52a | 3570 | .cfi_startproc |
| 8fc8f486 | 3571 | mov 8*0($nptr),%r12 |
| ec9cc70f | 3572 | mov %rcx,%r10 # -$num |
| ec9cc70f | 3573 | mov %rcx,%r9 # -$num |
| 8fc8f486 AP |
3574 | neg %rax |
| 3575 | sar \$3+2,%rcx | |
| ec9cc70f | 3576 | #lea 48+8(%rsp,%r9),$tptr |
| ec9cc70f AP |
3577 | movq %xmm1,$rptr # restore $rptr |
| 3578 | movq %xmm1,$aptr # prepare for back-to-back call | |
| 8fc8f486 AP |
3579 | dec %r12 # so that after 'not' we get -n[0] |
| 3580 | mov 8*1($nptr),%r13 | |
| 3581 | xor %r8,%r8 | |
| 3582 | mov 8*2($nptr),%r14 | |
| 3583 | mov 8*3($nptr),%r15 | |
| 3584 | jmp .Lsqrx4x_sub_entry | |
| ec9cc70f | 3585 | |
| 317be638 | 3586 | .align 16 |
| ec9cc70f | 3587 | .Lsqrx4x_sub: |
| 8fc8f486 AP |
3588 | mov 8*0($nptr),%r12 |
| 3589 | mov 8*1($nptr),%r13 | |
| 3590 | mov 8*2($nptr),%r14 | |
| 3591 | mov 8*3($nptr),%r15 | |
| 3592 | .Lsqrx4x_sub_entry: | |
| 3593 | andn %rax,%r12,%r12 | |
| 3594 | lea 8*4($nptr),$nptr | |
| 3595 | andn %rax,%r13,%r13 | |
| 3596 | andn %rax,%r14,%r14 | |
| 3597 | andn %rax,%r15,%r15 | |
| 3598 | ||
| 3599 | neg %r8 # mov %r8,%cf | |
| 3600 | adc 8*0($tptr),%r12 | |
| 3601 | adc 8*1($tptr),%r13 | |
| 3602 | adc 8*2($tptr),%r14 | |
| 3603 | adc 8*3($tptr),%r15 | |
| ec9cc70f | 3604 | mov %r12,8*0($rptr) |
| 8fc8f486 | 3605 | lea 8*4($tptr),$tptr |
| ec9cc70f | 3606 | mov %r13,8*1($rptr) |
| 8fc8f486 | 3607 | sbb %r8,%r8 # mov %cf,%r8 |
| ec9cc70f AP |
3608 | mov %r14,8*2($rptr) |
| 3609 | mov %r15,8*3($rptr) | |
| 3610 | lea 8*4($rptr),$rptr | |
| 3611 | ||
| 3612 | inc %rcx | |
| 3613 | jnz .Lsqrx4x_sub | |
| 317be638 | 3614 | |
| ec9cc70f AP |
3615 | neg %r9 # restore $num |
| 3616 | ||
| a5bb5bca | 3617 | ret |
| 0190c52a | 3618 | .cfi_endproc |
| 317be638 | 3619 | .size __bn_postx4x_internal,.-__bn_postx4x_internal |
| a5bb5bca | 3620 | ___ |
| 317be638 | 3621 | } |
| a5bb5bca | 3622 | }}} |
| 361512da | 3623 | { |
| ec9cc70f AP |
3624 | my ($inp,$num,$tbl,$idx)=$win64?("%rcx","%edx","%r8", "%r9d") : # Win64 order |
| 3625 | ("%rdi","%esi","%rdx","%ecx"); # Unix order | |
| 8329e2e7 AP |
3626 | my $out=$inp; |
| 3627 | my $STRIDE=2**5*8; | |
| 3628 | my $N=$STRIDE/4; | |
| 3629 | ||
| 361512da | 3630 | $code.=<<___; |
| ec9cc70f AP |
3631 | .globl bn_get_bits5 |
| 3632 | .type bn_get_bits5,\@abi-omnipotent | |
| 3633 | .align 16 | |
| 3634 | bn_get_bits5: | |
| 0190c52a | 3635 | .cfi_startproc |
| 69567687 AP |
3636 | lea 0($inp),%r10 |
| 3637 | lea 1($inp),%r11 | |
| ec9cc70f | 3638 | mov $num,%ecx |
| 69567687 AP |
3639 | shr \$4,$num |
| 3640 | and \$15,%ecx | |
| 3641 | lea -8(%ecx),%eax | |
| 3642 | cmp \$11,%ecx | |
| 3643 | cmova %r11,%r10 | |
| 3644 | cmova %eax,%ecx | |
| 3645 | movzw (%r10,$num,2),%eax | |
| ec9cc70f AP |
3646 | shrl %cl,%eax |
| 3647 | and \$31,%eax | |
| 3648 | ret | |
| 0190c52a | 3649 | .cfi_endproc |
| ec9cc70f AP |
3650 | .size bn_get_bits5,.-bn_get_bits5 |
| 3651 | ||
| 361512da AP |
3652 | .globl bn_scatter5 |
| 3653 | .type bn_scatter5,\@abi-omnipotent | |
| 3654 | .align 16 | |
| 3655 | bn_scatter5: | |
| 0190c52a | 3656 | .cfi_startproc |
| cdfe0fdd BM |
3657 | cmp \$0, $num |
| 3658 | jz .Lscatter_epilogue | |
| 361512da AP |
3659 | lea ($tbl,$idx,8),$tbl |
| 3660 | .Lscatter: | |
| 3661 | mov ($inp),%rax | |
| 3662 | lea 8($inp),$inp | |
| 3663 | mov %rax,($tbl) | |
| 3664 | lea 32*8($tbl),$tbl | |
| 3665 | sub \$1,$num | |
| 3666 | jnz .Lscatter | |
| cdfe0fdd | 3667 | .Lscatter_epilogue: |
| 361512da | 3668 | ret |
| 0190c52a | 3669 | .cfi_endproc |
| 361512da | 3670 | .size bn_scatter5,.-bn_scatter5 |
| 8329e2e7 AP |
3671 | |
| 3672 | .globl bn_gather5 | |
| 3673 | .type bn_gather5,\@abi-omnipotent | |
| 8fc8f486 | 3674 | .align 32 |
| 8329e2e7 | 3675 | bn_gather5: |
| 8fc8f486 | 3676 | .LSEH_begin_bn_gather5: # Win64 thing, but harmless in other cases |
| 0190c52a | 3677 | .cfi_startproc |
| 8329e2e7 | 3678 | # I can't trust assembler to use specific encoding:-( |
| 8fc8f486 AP |
3679 | .byte 0x4c,0x8d,0x14,0x24 #lea (%rsp),%r10 |
| 3680 | .byte 0x48,0x81,0xec,0x08,0x01,0x00,0x00 #sub $0x108,%rsp | |
| 3681 | lea .Linc(%rip),%rax | |
| 3682 | and \$-16,%rsp # shouldn't be formally required | |
| 3683 | ||
| 3684 | movd $idx,%xmm5 | |
| 3685 | movdqa 0(%rax),%xmm0 # 00000001000000010000000000000000 | |
| 3686 | movdqa 16(%rax),%xmm1 # 00000002000000020000000200000002 | |
| 3687 | lea 128($tbl),%r11 # size optimization | |
| 3688 | lea 128(%rsp),%rax # size optimization | |
| 3689 | ||
| 3690 | pshufd \$0,%xmm5,%xmm5 # broadcast $idx | |
| 3691 | movdqa %xmm1,%xmm4 | |
| 3692 | movdqa %xmm1,%xmm2 | |
| 8329e2e7 | 3693 | ___ |
| 8fc8f486 AP |
3694 | ######################################################################## |
| 3695 | # calculate mask by comparing 0..31 to $idx and save result to stack | |
| 3696 | # | |
| 3697 | for($i=0;$i<$STRIDE/16;$i+=4) { | |
| 8329e2e7 | 3698 | $code.=<<___; |
| 8fc8f486 AP |
3699 | paddd %xmm0,%xmm1 |
| 3700 | pcmpeqd %xmm5,%xmm0 # compare to 1,0 | |
| 3701 | ___ | |
| 3702 | $code.=<<___ if ($i); | |
| 3703 | movdqa %xmm3,`16*($i-1)-128`(%rax) | |
| 3704 | ___ | |
| 3705 | $code.=<<___; | |
| 3706 | movdqa %xmm4,%xmm3 | |
| 3707 | ||
| 3708 | paddd %xmm1,%xmm2 | |
| 3709 | pcmpeqd %xmm5,%xmm1 # compare to 3,2 | |
| 3710 | movdqa %xmm0,`16*($i+0)-128`(%rax) | |
| 3711 | movdqa %xmm4,%xmm0 | |
| 3712 | ||
| 3713 | paddd %xmm2,%xmm3 | |
| 3714 | pcmpeqd %xmm5,%xmm2 # compare to 5,4 | |
| 3715 | movdqa %xmm1,`16*($i+1)-128`(%rax) | |
| 3716 | movdqa %xmm4,%xmm1 | |
| 3717 | ||
| 3718 | paddd %xmm3,%xmm0 | |
| 3719 | pcmpeqd %xmm5,%xmm3 # compare to 7,6 | |
| 3720 | movdqa %xmm2,`16*($i+2)-128`(%rax) | |
| 3721 | movdqa %xmm4,%xmm2 | |
| 3722 | ___ | |
| 3723 | } | |
| 3724 | $code.=<<___; | |
| 3725 | movdqa %xmm3,`16*($i-1)-128`(%rax) | |
| 8329e2e7 | 3726 | jmp .Lgather |
| 8329e2e7 | 3727 | |
| 8fc8f486 AP |
3728 | .align 32 |
| 3729 | .Lgather: | |
| 3730 | pxor %xmm4,%xmm4 | |
| 3731 | pxor %xmm5,%xmm5 | |
| 3732 | ___ | |
| 3733 | for($i=0;$i<$STRIDE/16;$i+=4) { | |
| 3734 | $code.=<<___; | |
| 3735 | movdqa `16*($i+0)-128`(%r11),%xmm0 | |
| 3736 | movdqa `16*($i+1)-128`(%r11),%xmm1 | |
| 3737 | movdqa `16*($i+2)-128`(%r11),%xmm2 | |
| 3738 | pand `16*($i+0)-128`(%rax),%xmm0 | |
| 3739 | movdqa `16*($i+3)-128`(%r11),%xmm3 | |
| 3740 | pand `16*($i+1)-128`(%rax),%xmm1 | |
| 3741 | por %xmm0,%xmm4 | |
| 3742 | pand `16*($i+2)-128`(%rax),%xmm2 | |
| 3743 | por %xmm1,%xmm5 | |
| 3744 | pand `16*($i+3)-128`(%rax),%xmm3 | |
| 3745 | por %xmm2,%xmm4 | |
| 3746 | por %xmm3,%xmm5 | |
| 3747 | ___ | |
| 3748 | } | |
| 3749 | $code.=<<___; | |
| 3750 | por %xmm5,%xmm4 | |
| 3751 | lea $STRIDE(%r11),%r11 | |
| 3752 | pshufd \$0x4e,%xmm4,%xmm0 | |
| 3753 | por %xmm4,%xmm0 | |
| 8329e2e7 AP |
3754 | movq %xmm0,($out) # m0=bp[0] |
| 3755 | lea 8($out),$out | |
| 3756 | sub \$1,$num | |
| 3757 | jnz .Lgather | |
| 8fc8f486 AP |
3758 | |
| 3759 | lea (%r10),%rsp | |
| 8329e2e7 AP |
3760 | ret |
| 3761 | .LSEH_end_bn_gather5: | |
| 0190c52a | 3762 | .cfi_endproc |
| 8329e2e7 | 3763 | .size bn_gather5,.-bn_gather5 |
| 361512da AP |
3764 | ___ |
| 3765 | } | |
| 3766 | $code.=<<___; | |
| 3767 | .align 64 | |
| 8fc8f486 AP |
3768 | .Linc: |
| 3769 | .long 0,0, 1,1 | |
| 3770 | .long 2,2, 2,2 | |
| 361512da AP |
3771 | .asciz "Montgomery Multiplication with scatter/gather for x86_64, CRYPTOGAMS by <appro\@openssl.org>" |
| 3772 | ___ | |
| 3773 | ||
| e7d1363d AP |
3774 | # EXCEPTION_DISPOSITION handler (EXCEPTION_RECORD *rec,ULONG64 frame, |
| 3775 | # CONTEXT *context,DISPATCHER_CONTEXT *disp) | |
| 3776 | if ($win64) { | |
| 3777 | $rec="%rcx"; | |
| 3778 | $frame="%rdx"; | |
| 3779 | $context="%r8"; | |
| 3780 | $disp="%r9"; | |
| 3781 | ||
| 3782 | $code.=<<___; | |
| 3783 | .extern __imp_RtlVirtualUnwind | |
| 3784 | .type mul_handler,\@abi-omnipotent | |
| 3785 | .align 16 | |
| 3786 | mul_handler: | |
| 3787 | push %rsi | |
| 3788 | push %rdi | |
| 3789 | push %rbx | |
| 3790 | push %rbp | |
| 3791 | push %r12 | |
| 3792 | push %r13 | |
| 3793 | push %r14 | |
| 3794 | push %r15 | |
| 3795 | pushfq | |
| 3796 | sub \$64,%rsp | |
| 3797 | ||
| 3798 | mov 120($context),%rax # pull context->Rax | |
| 3799 | mov 248($context),%rbx # pull context->Rip | |
| 3800 | ||
| 3801 | mov 8($disp),%rsi # disp->ImageBase | |
| 3802 | mov 56($disp),%r11 # disp->HandlerData | |
| 3803 | ||
| 3804 | mov 0(%r11),%r10d # HandlerData[0] | |
| 3805 | lea (%rsi,%r10),%r10 # end of prologue label | |
| 3806 | cmp %r10,%rbx # context->Rip<end of prologue label | |
| 3807 | jb .Lcommon_seh_tail | |
| 3808 | ||
| 3ba1ef82 | 3809 | mov 4(%r11),%r10d # HandlerData[1] |
| 384e6de4 AP |
3810 | lea (%rsi,%r10),%r10 # beginning of body label |
| 3811 | cmp %r10,%rbx # context->Rip<body label | |
| 3ba1ef82 AP |
3812 | jb .Lcommon_pop_regs |
| 3813 | ||
| e7d1363d AP |
3814 | mov 152($context),%rax # pull context->Rsp |
| 3815 | ||
| 3ba1ef82 | 3816 | mov 8(%r11),%r10d # HandlerData[2] |
| e7d1363d AP |
3817 | lea (%rsi,%r10),%r10 # epilogue label |
| 3818 | cmp %r10,%rbx # context->Rip>=epilogue label | |
| 3819 | jae .Lcommon_seh_tail | |
| 3820 | ||
| ec9cc70f AP |
3821 | lea .Lmul_epilogue(%rip),%r10 |
| 3822 | cmp %r10,%rbx | |
| 8fc8f486 | 3823 | ja .Lbody_40 |
| ec9cc70f | 3824 | |
| e7d1363d AP |
3825 | mov 192($context),%r10 # pull $num |
| 3826 | mov 8(%rax,%r10,8),%rax # pull saved stack pointer | |
| 8fc8f486 | 3827 | |
| 3ba1ef82 | 3828 | jmp .Lcommon_pop_regs |
| e7d1363d | 3829 | |
| ec9cc70f AP |
3830 | .Lbody_40: |
| 3831 | mov 40(%rax),%rax # pull saved stack pointer | |
| 3ba1ef82 | 3832 | .Lcommon_pop_regs: |
| e7d1363d AP |
3833 | mov -8(%rax),%rbx |
| 3834 | mov -16(%rax),%rbp | |
| 3835 | mov -24(%rax),%r12 | |
| 3836 | mov -32(%rax),%r13 | |
| 3837 | mov -40(%rax),%r14 | |
| 3838 | mov -48(%rax),%r15 | |
| 3839 | mov %rbx,144($context) # restore context->Rbx | |
| 3840 | mov %rbp,160($context) # restore context->Rbp | |
| 3841 | mov %r12,216($context) # restore context->R12 | |
| 3842 | mov %r13,224($context) # restore context->R13 | |
| 3843 | mov %r14,232($context) # restore context->R14 | |
| 3844 | mov %r15,240($context) # restore context->R15 | |
| e7d1363d AP |
3845 | |
| 3846 | .Lcommon_seh_tail: | |
| 3847 | mov 8(%rax),%rdi | |
| 3848 | mov 16(%rax),%rsi | |
| 3849 | mov %rax,152($context) # restore context->Rsp | |
| 3850 | mov %rsi,168($context) # restore context->Rsi | |
| 3851 | mov %rdi,176($context) # restore context->Rdi | |
| 3852 | ||
| 3853 | mov 40($disp),%rdi # disp->ContextRecord | |
| 3854 | mov $context,%rsi # context | |
| 3855 | mov \$154,%ecx # sizeof(CONTEXT) | |
| 3856 | .long 0xa548f3fc # cld; rep movsq | |
| 3857 | ||
| 3858 | mov $disp,%rsi | |
| 3859 | xor %rcx,%rcx # arg1, UNW_FLAG_NHANDLER | |
| 3860 | mov 8(%rsi),%rdx # arg2, disp->ImageBase | |
| 3861 | mov 0(%rsi),%r8 # arg3, disp->ControlPc | |
| 3862 | mov 16(%rsi),%r9 # arg4, disp->FunctionEntry | |
| 3863 | mov 40(%rsi),%r10 # disp->ContextRecord | |
| 3864 | lea 56(%rsi),%r11 # &disp->HandlerData | |
| 3865 | lea 24(%rsi),%r12 # &disp->EstablisherFrame | |
| 3866 | mov %r10,32(%rsp) # arg5 | |
| 3867 | mov %r11,40(%rsp) # arg6 | |
| 3868 | mov %r12,48(%rsp) # arg7 | |
| 3869 | mov %rcx,56(%rsp) # arg8, (NULL) | |
| 3870 | call *__imp_RtlVirtualUnwind(%rip) | |
| 3871 | ||
| 3872 | mov \$1,%eax # ExceptionContinueSearch | |
| 3873 | add \$64,%rsp | |
| 3874 | popfq | |
| 3875 | pop %r15 | |
| 3876 | pop %r14 | |
| 3877 | pop %r13 | |
| 3878 | pop %r12 | |
| 3879 | pop %rbp | |
| 3880 | pop %rbx | |
| 3881 | pop %rdi | |
| 3882 | pop %rsi | |
| 3883 | ret | |
| 3884 | .size mul_handler,.-mul_handler | |
| 3885 | ||
| 3886 | .section .pdata | |
| 3887 | .align 4 | |
| 3888 | .rva .LSEH_begin_bn_mul_mont_gather5 | |
| 3889 | .rva .LSEH_end_bn_mul_mont_gather5 | |
| 3890 | .rva .LSEH_info_bn_mul_mont_gather5 | |
| 3891 | ||
| 3892 | .rva .LSEH_begin_bn_mul4x_mont_gather5 | |
| 3893 | .rva .LSEH_end_bn_mul4x_mont_gather5 | |
| 3894 | .rva .LSEH_info_bn_mul4x_mont_gather5 | |
| 3895 | ||
| ec9cc70f AP |
3896 | .rva .LSEH_begin_bn_power5 |
| 3897 | .rva .LSEH_end_bn_power5 | |
| 3898 | .rva .LSEH_info_bn_power5 | |
| 3899 | ||
| 3900 | .rva .LSEH_begin_bn_from_mont8x | |
| 3901 | .rva .LSEH_end_bn_from_mont8x | |
| 3902 | .rva .LSEH_info_bn_from_mont8x | |
| 3903 | ___ | |
| 3904 | $code.=<<___ if ($addx); | |
| 3905 | .rva .LSEH_begin_bn_mulx4x_mont_gather5 | |
| 3906 | .rva .LSEH_end_bn_mulx4x_mont_gather5 | |
| 3907 | .rva .LSEH_info_bn_mulx4x_mont_gather5 | |
| 3908 | ||
| 3909 | .rva .LSEH_begin_bn_powerx5 | |
| 3910 | .rva .LSEH_end_bn_powerx5 | |
| 3911 | .rva .LSEH_info_bn_powerx5 | |
| 3912 | ___ | |
| 3913 | $code.=<<___; | |
| 8329e2e7 AP |
3914 | .rva .LSEH_begin_bn_gather5 |
| 3915 | .rva .LSEH_end_bn_gather5 | |
| 3916 | .rva .LSEH_info_bn_gather5 | |
| 3917 | ||
| e7d1363d AP |
3918 | .section .xdata |
| 3919 | .align 8 | |
| 3920 | .LSEH_info_bn_mul_mont_gather5: | |
| 3921 | .byte 9,0,0,0 | |
| 3922 | .rva mul_handler | |
| 3ba1ef82 | 3923 | .rva .Lmul_body,.Lmul_body,.Lmul_epilogue # HandlerData[] |
| e7d1363d AP |
3924 | .align 8 |
| 3925 | .LSEH_info_bn_mul4x_mont_gather5: | |
| 3926 | .byte 9,0,0,0 | |
| 3927 | .rva mul_handler | |
| 3ba1ef82 | 3928 | .rva .Lmul4x_prologue,.Lmul4x_body,.Lmul4x_epilogue # HandlerData[] |
| ec9cc70f AP |
3929 | .align 8 |
| 3930 | .LSEH_info_bn_power5: | |
| 3931 | .byte 9,0,0,0 | |
| 3932 | .rva mul_handler | |
| 3ba1ef82 | 3933 | .rva .Lpower5_prologue,.Lpower5_body,.Lpower5_epilogue # HandlerData[] |
| ec9cc70f AP |
3934 | .align 8 |
| 3935 | .LSEH_info_bn_from_mont8x: | |
| 3936 | .byte 9,0,0,0 | |
| 3937 | .rva mul_handler | |
| 3ba1ef82 | 3938 | .rva .Lfrom_prologue,.Lfrom_body,.Lfrom_epilogue # HandlerData[] |
| ec9cc70f AP |
3939 | ___ |
| 3940 | $code.=<<___ if ($addx); | |
| 3941 | .align 8 | |
| 3942 | .LSEH_info_bn_mulx4x_mont_gather5: | |
| 3943 | .byte 9,0,0,0 | |
| 3944 | .rva mul_handler | |
| 3ba1ef82 | 3945 | .rva .Lmulx4x_prologue,.Lmulx4x_body,.Lmulx4x_epilogue # HandlerData[] |
| ec9cc70f AP |
3946 | .align 8 |
| 3947 | .LSEH_info_bn_powerx5: | |
| 3948 | .byte 9,0,0,0 | |
| 3949 | .rva mul_handler | |
| 3ba1ef82 | 3950 | .rva .Lpowerx5_prologue,.Lpowerx5_body,.Lpowerx5_epilogue # HandlerData[] |
| ec9cc70f AP |
3951 | ___ |
| 3952 | $code.=<<___; | |
| e7d1363d | 3953 | .align 8 |
| 8329e2e7 | 3954 | .LSEH_info_bn_gather5: |
| 317be638 AP |
3955 | .byte 0x01,0x0b,0x03,0x0a |
| 3956 | .byte 0x0b,0x01,0x21,0x00 # sub rsp,0x108 | |
| 3957 | .byte 0x04,0xa3,0x00,0x00 # lea r10,(rsp) | |
| 8329e2e7 | 3958 | .align 8 |
| e7d1363d AP |
3959 | ___ |
| 3960 | } | |
| 3961 | ||
| 361512da AP |
3962 | $code =~ s/\`([^\`]*)\`/eval($1)/gem; |
| 3963 | ||
| 3964 | print $code; | |
| a21314db | 3965 | close STDOUT or die "error closing STDOUT: $!"; |