1#! /usr/bin/env perl 2# Copyright 2013-2020 The OpenSSL Project Authors. All Rights Reserved. 3# Copyright (c) 2012, Intel Corporation. All Rights Reserved. 4# 5# Licensed under the Apache License 2.0 (the "License"). You may not use 6# this file except in compliance with the License. You can obtain a copy 7# in the file LICENSE in the source distribution or at 8# https://www.openssl.org/source/license.html 9# 10# Originally written by Shay Gueron (1, 2), and Vlad Krasnov (1) 11# (1) Intel Corporation, Israel Development Center, Haifa, Israel 12# (2) University of Haifa, Israel 13# 14# References: 15# [1] S. Gueron, V. Krasnov: "Software Implementation of Modular 16# Exponentiation, Using Advanced Vector Instructions Architectures", 17# F. Ozbudak and F. Rodriguez-Henriquez (Eds.): WAIFI 2012, LNCS 7369, 18# pp. 119?135, 2012. Springer-Verlag Berlin Heidelberg 2012 19# [2] S. Gueron: "Efficient Software Implementations of Modular 20# Exponentiation", Journal of Cryptographic Engineering 2:31-43 (2012). 21# [3] S. Gueron, V. Krasnov: "Speeding up Big-numbers Squaring",IEEE 22# Proceedings of 9th International Conference on Information Technology: 23# New Generations (ITNG 2012), pp.821-823 (2012) 24# [4] S. Gueron, V. Krasnov: "[PATCH] Efficient and side channel analysis 25# resistant 1024-bit modular exponentiation, for optimizing RSA2048 26# on AVX2 capable x86_64 platforms", 27# http://rt.openssl.org/Ticket/Display.html?id=2850&user=guest&pass=guest 28# 29# +13% improvement over original submission by <appro@openssl.org> 30# 31# rsa2048 sign/sec OpenSSL 1.0.1 scalar(*) this 32# 2.3GHz Haswell 621 765/+23% 1113/+79% 33# 2.3GHz Broadwell(**) 688 1200(***)/+74% 1120/+63% 34# 35# (*) if system doesn't support AVX2, for reference purposes; 36# (**) scaled to 2.3GHz to simplify comparison; 37# (***) scalar AD*X code is faster than AVX2 and is preferred code 38# path for Broadwell; 39 40# $output is the last argument if it looks like a file (it has an extension) 41# $flavour is the first argument if it doesn't look like a file 42$output = $#ARGV >= 0 && $ARGV[$#ARGV] =~ m|\.\w+$| ? pop : undef; 43$flavour = $#ARGV >= 0 && $ARGV[0] !~ m|\.| ? shift : undef; 44 45$win64=0; $win64=1 if ($flavour =~ /[nm]asm|mingw64/ || $output =~ /\.asm$/); 46 47$0 =~ m/(.*[\/\\])[^\/\\]+$/; $dir=$1; 48( $xlate="${dir}x86_64-xlate.pl" and -f $xlate ) or 49( $xlate="${dir}../../perlasm/x86_64-xlate.pl" and -f $xlate) or 50die "can't locate x86_64-xlate.pl"; 51 52if (`$ENV{CC} -Wa,-v -c -o /dev/null -x assembler /dev/null 2>&1` 53 =~ /GNU assembler version ([2-9]\.[0-9]+)/) { 54 $avx = ($1>=2.19) + ($1>=2.22); 55 $addx = ($1>=2.23); 56} 57 58if (!$avx && $win64 && ($flavour =~ /nasm/ || $ENV{ASM} =~ /nasm/) && 59 `nasm -v 2>&1` =~ /NASM version ([2-9]\.[0-9]+)/) { 60 $avx = ($1>=2.09) + ($1>=2.10); 61 $addx = ($1>=2.10); 62} 63 64if (!$avx && $win64 && ($flavour =~ /masm/ || $ENV{ASM} =~ /ml64/) && 65 `ml64 2>&1` =~ /Version ([0-9]+)\./) { 66 $avx = ($1>=10) + ($1>=11); 67 $addx = ($1>=11); 68} 69 70if (!$avx && `$ENV{CC} -v 2>&1` =~ /((?:clang|LLVM) version|based on LLVM) ([0-9]+)\.([0-9]+)/) { 71 my $ver = $2 + $3/100.0; # 3.1->3.01, 3.10->3.10 72 $avx = ($ver>=3.0) + ($ver>=3.01); 73 $addx = ($ver>=3.03); 74} 75 76open OUT,"| \"$^X\" \"$xlate\" $flavour \"$output\"" 77 or die "can't call $xlate: $!"; 78*STDOUT = *OUT; 79 80if ($avx>1) {{{ 81{ # void AMS_WW( 82my $rp="%rdi"; # BN_ULONG *rp, 83my $ap="%rsi"; # const BN_ULONG *ap, 84my $np="%rdx"; # const BN_ULONG *np, 85my $n0="%ecx"; # const BN_ULONG n0, 86my $rep="%r8d"; # int repeat); 87 88# The registers that hold the accumulated redundant result 89# The AMM works on 1024 bit operands, and redundant word size is 29 90# Therefore: ceil(1024/29)/4 = 9 91my $ACC0="%ymm0"; 92my $ACC1="%ymm1"; 93my $ACC2="%ymm2"; 94my $ACC3="%ymm3"; 95my $ACC4="%ymm4"; 96my $ACC5="%ymm5"; 97my $ACC6="%ymm6"; 98my $ACC7="%ymm7"; 99my $ACC8="%ymm8"; 100my $ACC9="%ymm9"; 101# Registers that hold the broadcasted words of bp, currently used 102my $B1="%ymm10"; 103my $B2="%ymm11"; 104# Registers that hold the broadcasted words of Y, currently used 105my $Y1="%ymm12"; 106my $Y2="%ymm13"; 107# Helper registers 108my $TEMP1="%ymm14"; 109my $AND_MASK="%ymm15"; 110# alu registers that hold the first words of the ACC 111my $r0="%r9"; 112my $r1="%r10"; 113my $r2="%r11"; 114my $r3="%r12"; 115 116my $i="%r14d"; # loop counter 117my $tmp = "%r15"; 118 119my $FrameSize=32*18+32*8; # place for A^2 and 2*A 120 121my $aap=$r0; 122my $tp0="%rbx"; 123my $tp1=$r3; 124my $tpa=$tmp; 125 126$np="%r13"; # reassigned argument 127 128$code.=<<___; 129.text 130 131.globl rsaz_1024_sqr_avx2 132.type rsaz_1024_sqr_avx2,\@function,5 133.align 64 134rsaz_1024_sqr_avx2: # 702 cycles, 14% faster than rsaz_1024_mul_avx2 135.cfi_startproc 136 lea (%rsp), %rax 137.cfi_def_cfa_register %rax 138 push %rbx 139.cfi_push %rbx 140 push %rbp 141.cfi_push %rbp 142 push %r12 143.cfi_push %r12 144 push %r13 145.cfi_push %r13 146 push %r14 147.cfi_push %r14 148 push %r15 149.cfi_push %r15 150 vzeroupper 151___ 152$code.=<<___ if ($win64); 153 lea -0xa8(%rsp),%rsp 154 vmovaps %xmm6,-0xd8(%rax) 155 vmovaps %xmm7,-0xc8(%rax) 156 vmovaps %xmm8,-0xb8(%rax) 157 vmovaps %xmm9,-0xa8(%rax) 158 vmovaps %xmm10,-0x98(%rax) 159 vmovaps %xmm11,-0x88(%rax) 160 vmovaps %xmm12,-0x78(%rax) 161 vmovaps %xmm13,-0x68(%rax) 162 vmovaps %xmm14,-0x58(%rax) 163 vmovaps %xmm15,-0x48(%rax) 164.Lsqr_1024_body: 165___ 166$code.=<<___; 167 mov %rax,%rbp 168.cfi_def_cfa_register %rbp 169 mov %rdx, $np # reassigned argument 170 sub \$$FrameSize, %rsp 171 mov $np, $tmp 172 sub \$-128, $rp # size optimization 173 sub \$-128, $ap 174 sub \$-128, $np 175 176 and \$4095, $tmp # see if $np crosses page 177 add \$32*10, $tmp 178 shr \$12, $tmp 179 vpxor $ACC9,$ACC9,$ACC9 180 jz .Lsqr_1024_no_n_copy 181 182 # unaligned 256-bit load that crosses page boundary can 183 # cause >2x performance degradation here, so if $np does 184 # cross page boundary, copy it to stack and make sure stack 185 # frame doesn't... 186 sub \$32*10,%rsp 187 vmovdqu 32*0-128($np), $ACC0 188 and \$-2048, %rsp 189 vmovdqu 32*1-128($np), $ACC1 190 vmovdqu 32*2-128($np), $ACC2 191 vmovdqu 32*3-128($np), $ACC3 192 vmovdqu 32*4-128($np), $ACC4 193 vmovdqu 32*5-128($np), $ACC5 194 vmovdqu 32*6-128($np), $ACC6 195 vmovdqu 32*7-128($np), $ACC7 196 vmovdqu 32*8-128($np), $ACC8 197 lea $FrameSize+128(%rsp),$np 198 vmovdqu $ACC0, 32*0-128($np) 199 vmovdqu $ACC1, 32*1-128($np) 200 vmovdqu $ACC2, 32*2-128($np) 201 vmovdqu $ACC3, 32*3-128($np) 202 vmovdqu $ACC4, 32*4-128($np) 203 vmovdqu $ACC5, 32*5-128($np) 204 vmovdqu $ACC6, 32*6-128($np) 205 vmovdqu $ACC7, 32*7-128($np) 206 vmovdqu $ACC8, 32*8-128($np) 207 vmovdqu $ACC9, 32*9-128($np) # $ACC9 is zero 208 209.Lsqr_1024_no_n_copy: 210 and \$-1024, %rsp 211 212 vmovdqu 32*1-128($ap), $ACC1 213 vmovdqu 32*2-128($ap), $ACC2 214 vmovdqu 32*3-128($ap), $ACC3 215 vmovdqu 32*4-128($ap), $ACC4 216 vmovdqu 32*5-128($ap), $ACC5 217 vmovdqu 32*6-128($ap), $ACC6 218 vmovdqu 32*7-128($ap), $ACC7 219 vmovdqu 32*8-128($ap), $ACC8 220 221 lea 192(%rsp), $tp0 # 64+128=192 222 vmovdqu .Land_mask(%rip), $AND_MASK 223 jmp .LOOP_GRANDE_SQR_1024 224 225.align 32 226.LOOP_GRANDE_SQR_1024: 227 lea 32*18+128(%rsp), $aap # size optimization 228 lea 448(%rsp), $tp1 # 64+128+256=448 229 230 # the squaring is performed as described in Variant B of 231 # "Speeding up Big-Number Squaring", so start by calculating 232 # the A*2=A+A vector 233 vpaddq $ACC1, $ACC1, $ACC1 234 vpbroadcastq 32*0-128($ap), $B1 235 vpaddq $ACC2, $ACC2, $ACC2 236 vmovdqa $ACC1, 32*0-128($aap) 237 vpaddq $ACC3, $ACC3, $ACC3 238 vmovdqa $ACC2, 32*1-128($aap) 239 vpaddq $ACC4, $ACC4, $ACC4 240 vmovdqa $ACC3, 32*2-128($aap) 241 vpaddq $ACC5, $ACC5, $ACC5 242 vmovdqa $ACC4, 32*3-128($aap) 243 vpaddq $ACC6, $ACC6, $ACC6 244 vmovdqa $ACC5, 32*4-128($aap) 245 vpaddq $ACC7, $ACC7, $ACC7 246 vmovdqa $ACC6, 32*5-128($aap) 247 vpaddq $ACC8, $ACC8, $ACC8 248 vmovdqa $ACC7, 32*6-128($aap) 249 vpxor $ACC9, $ACC9, $ACC9 250 vmovdqa $ACC8, 32*7-128($aap) 251 252 vpmuludq 32*0-128($ap), $B1, $ACC0 253 vpbroadcastq 32*1-128($ap), $B2 254 vmovdqu $ACC9, 32*9-192($tp0) # zero upper half 255 vpmuludq $B1, $ACC1, $ACC1 256 vmovdqu $ACC9, 32*10-448($tp1) 257 vpmuludq $B1, $ACC2, $ACC2 258 vmovdqu $ACC9, 32*11-448($tp1) 259 vpmuludq $B1, $ACC3, $ACC3 260 vmovdqu $ACC9, 32*12-448($tp1) 261 vpmuludq $B1, $ACC4, $ACC4 262 vmovdqu $ACC9, 32*13-448($tp1) 263 vpmuludq $B1, $ACC5, $ACC5 264 vmovdqu $ACC9, 32*14-448($tp1) 265 vpmuludq $B1, $ACC6, $ACC6 266 vmovdqu $ACC9, 32*15-448($tp1) 267 vpmuludq $B1, $ACC7, $ACC7 268 vmovdqu $ACC9, 32*16-448($tp1) 269 vpmuludq $B1, $ACC8, $ACC8 270 vpbroadcastq 32*2-128($ap), $B1 271 vmovdqu $ACC9, 32*17-448($tp1) 272 273 mov $ap, $tpa 274 mov \$4, $i 275 jmp .Lsqr_entry_1024 276___ 277$TEMP0=$Y1; 278$TEMP2=$Y2; 279$code.=<<___; 280.align 32 281.LOOP_SQR_1024: 282 vpbroadcastq 32*1-128($tpa), $B2 283 vpmuludq 32*0-128($ap), $B1, $ACC0 284 vpaddq 32*0-192($tp0), $ACC0, $ACC0 285 vpmuludq 32*0-128($aap), $B1, $ACC1 286 vpaddq 32*1-192($tp0), $ACC1, $ACC1 287 vpmuludq 32*1-128($aap), $B1, $ACC2 288 vpaddq 32*2-192($tp0), $ACC2, $ACC2 289 vpmuludq 32*2-128($aap), $B1, $ACC3 290 vpaddq 32*3-192($tp0), $ACC3, $ACC3 291 vpmuludq 32*3-128($aap), $B1, $ACC4 292 vpaddq 32*4-192($tp0), $ACC4, $ACC4 293 vpmuludq 32*4-128($aap), $B1, $ACC5 294 vpaddq 32*5-192($tp0), $ACC5, $ACC5 295 vpmuludq 32*5-128($aap), $B1, $ACC6 296 vpaddq 32*6-192($tp0), $ACC6, $ACC6 297 vpmuludq 32*6-128($aap), $B1, $ACC7 298 vpaddq 32*7-192($tp0), $ACC7, $ACC7 299 vpmuludq 32*7-128($aap), $B1, $ACC8 300 vpbroadcastq 32*2-128($tpa), $B1 301 vpaddq 32*8-192($tp0), $ACC8, $ACC8 302.Lsqr_entry_1024: 303 vmovdqu $ACC0, 32*0-192($tp0) 304 vmovdqu $ACC1, 32*1-192($tp0) 305 306 vpmuludq 32*1-128($ap), $B2, $TEMP0 307 vpaddq $TEMP0, $ACC2, $ACC2 308 vpmuludq 32*1-128($aap), $B2, $TEMP1 309 vpaddq $TEMP1, $ACC3, $ACC3 310 vpmuludq 32*2-128($aap), $B2, $TEMP2 311 vpaddq $TEMP2, $ACC4, $ACC4 312 vpmuludq 32*3-128($aap), $B2, $TEMP0 313 vpaddq $TEMP0, $ACC5, $ACC5 314 vpmuludq 32*4-128($aap), $B2, $TEMP1 315 vpaddq $TEMP1, $ACC6, $ACC6 316 vpmuludq 32*5-128($aap), $B2, $TEMP2 317 vpaddq $TEMP2, $ACC7, $ACC7 318 vpmuludq 32*6-128($aap), $B2, $TEMP0 319 vpaddq $TEMP0, $ACC8, $ACC8 320 vpmuludq 32*7-128($aap), $B2, $ACC0 321 vpbroadcastq 32*3-128($tpa), $B2 322 vpaddq 32*9-192($tp0), $ACC0, $ACC0 323 324 vmovdqu $ACC2, 32*2-192($tp0) 325 vmovdqu $ACC3, 32*3-192($tp0) 326 327 vpmuludq 32*2-128($ap), $B1, $TEMP2 328 vpaddq $TEMP2, $ACC4, $ACC4 329 vpmuludq 32*2-128($aap), $B1, $TEMP0 330 vpaddq $TEMP0, $ACC5, $ACC5 331 vpmuludq 32*3-128($aap), $B1, $TEMP1 332 vpaddq $TEMP1, $ACC6, $ACC6 333 vpmuludq 32*4-128($aap), $B1, $TEMP2 334 vpaddq $TEMP2, $ACC7, $ACC7 335 vpmuludq 32*5-128($aap), $B1, $TEMP0 336 vpaddq $TEMP0, $ACC8, $ACC8 337 vpmuludq 32*6-128($aap), $B1, $TEMP1 338 vpaddq $TEMP1, $ACC0, $ACC0 339 vpmuludq 32*7-128($aap), $B1, $ACC1 340 vpbroadcastq 32*4-128($tpa), $B1 341 vpaddq 32*10-448($tp1), $ACC1, $ACC1 342 343 vmovdqu $ACC4, 32*4-192($tp0) 344 vmovdqu $ACC5, 32*5-192($tp0) 345 346 vpmuludq 32*3-128($ap), $B2, $TEMP0 347 vpaddq $TEMP0, $ACC6, $ACC6 348 vpmuludq 32*3-128($aap), $B2, $TEMP1 349 vpaddq $TEMP1, $ACC7, $ACC7 350 vpmuludq 32*4-128($aap), $B2, $TEMP2 351 vpaddq $TEMP2, $ACC8, $ACC8 352 vpmuludq 32*5-128($aap), $B2, $TEMP0 353 vpaddq $TEMP0, $ACC0, $ACC0 354 vpmuludq 32*6-128($aap), $B2, $TEMP1 355 vpaddq $TEMP1, $ACC1, $ACC1 356 vpmuludq 32*7-128($aap), $B2, $ACC2 357 vpbroadcastq 32*5-128($tpa), $B2 358 vpaddq 32*11-448($tp1), $ACC2, $ACC2 359 360 vmovdqu $ACC6, 32*6-192($tp0) 361 vmovdqu $ACC7, 32*7-192($tp0) 362 363 vpmuludq 32*4-128($ap), $B1, $TEMP0 364 vpaddq $TEMP0, $ACC8, $ACC8 365 vpmuludq 32*4-128($aap), $B1, $TEMP1 366 vpaddq $TEMP1, $ACC0, $ACC0 367 vpmuludq 32*5-128($aap), $B1, $TEMP2 368 vpaddq $TEMP2, $ACC1, $ACC1 369 vpmuludq 32*6-128($aap), $B1, $TEMP0 370 vpaddq $TEMP0, $ACC2, $ACC2 371 vpmuludq 32*7-128($aap), $B1, $ACC3 372 vpbroadcastq 32*6-128($tpa), $B1 373 vpaddq 32*12-448($tp1), $ACC3, $ACC3 374 375 vmovdqu $ACC8, 32*8-192($tp0) 376 vmovdqu $ACC0, 32*9-192($tp0) 377 lea 8($tp0), $tp0 378 379 vpmuludq 32*5-128($ap), $B2, $TEMP2 380 vpaddq $TEMP2, $ACC1, $ACC1 381 vpmuludq 32*5-128($aap), $B2, $TEMP0 382 vpaddq $TEMP0, $ACC2, $ACC2 383 vpmuludq 32*6-128($aap), $B2, $TEMP1 384 vpaddq $TEMP1, $ACC3, $ACC3 385 vpmuludq 32*7-128($aap), $B2, $ACC4 386 vpbroadcastq 32*7-128($tpa), $B2 387 vpaddq 32*13-448($tp1), $ACC4, $ACC4 388 389 vmovdqu $ACC1, 32*10-448($tp1) 390 vmovdqu $ACC2, 32*11-448($tp1) 391 392 vpmuludq 32*6-128($ap), $B1, $TEMP0 393 vpaddq $TEMP0, $ACC3, $ACC3 394 vpmuludq 32*6-128($aap), $B1, $TEMP1 395 vpbroadcastq 32*8-128($tpa), $ACC0 # borrow $ACC0 for $B1 396 vpaddq $TEMP1, $ACC4, $ACC4 397 vpmuludq 32*7-128($aap), $B1, $ACC5 398 vpbroadcastq 32*0+8-128($tpa), $B1 # for next iteration 399 vpaddq 32*14-448($tp1), $ACC5, $ACC5 400 401 vmovdqu $ACC3, 32*12-448($tp1) 402 vmovdqu $ACC4, 32*13-448($tp1) 403 lea 8($tpa), $tpa 404 405 vpmuludq 32*7-128($ap), $B2, $TEMP0 406 vpaddq $TEMP0, $ACC5, $ACC5 407 vpmuludq 32*7-128($aap), $B2, $ACC6 408 vpaddq 32*15-448($tp1), $ACC6, $ACC6 409 410 vpmuludq 32*8-128($ap), $ACC0, $ACC7 411 vmovdqu $ACC5, 32*14-448($tp1) 412 vpaddq 32*16-448($tp1), $ACC7, $ACC7 413 vmovdqu $ACC6, 32*15-448($tp1) 414 vmovdqu $ACC7, 32*16-448($tp1) 415 lea 8($tp1), $tp1 416 417 dec $i 418 jnz .LOOP_SQR_1024 419___ 420$ZERO = $ACC9; 421$TEMP0 = $B1; 422$TEMP2 = $B2; 423$TEMP3 = $Y1; 424$TEMP4 = $Y2; 425$code.=<<___; 426 # we need to fix indices 32-39 to avoid overflow 427 vmovdqu 32*8(%rsp), $ACC8 # 32*8-192($tp0), 428 vmovdqu 32*9(%rsp), $ACC1 # 32*9-192($tp0) 429 vmovdqu 32*10(%rsp), $ACC2 # 32*10-192($tp0) 430 lea 192(%rsp), $tp0 # 64+128=192 431 432 vpsrlq \$29, $ACC8, $TEMP1 433 vpand $AND_MASK, $ACC8, $ACC8 434 vpsrlq \$29, $ACC1, $TEMP2 435 vpand $AND_MASK, $ACC1, $ACC1 436 437 vpermq \$0x93, $TEMP1, $TEMP1 438 vpxor $ZERO, $ZERO, $ZERO 439 vpermq \$0x93, $TEMP2, $TEMP2 440 441 vpblendd \$3, $ZERO, $TEMP1, $TEMP0 442 vpblendd \$3, $TEMP1, $TEMP2, $TEMP1 443 vpaddq $TEMP0, $ACC8, $ACC8 444 vpblendd \$3, $TEMP2, $ZERO, $TEMP2 445 vpaddq $TEMP1, $ACC1, $ACC1 446 vpaddq $TEMP2, $ACC2, $ACC2 447 vmovdqu $ACC1, 32*9-192($tp0) 448 vmovdqu $ACC2, 32*10-192($tp0) 449 450 mov (%rsp), %rax 451 mov 8(%rsp), $r1 452 mov 16(%rsp), $r2 453 mov 24(%rsp), $r3 454 vmovdqu 32*1(%rsp), $ACC1 455 vmovdqu 32*2-192($tp0), $ACC2 456 vmovdqu 32*3-192($tp0), $ACC3 457 vmovdqu 32*4-192($tp0), $ACC4 458 vmovdqu 32*5-192($tp0), $ACC5 459 vmovdqu 32*6-192($tp0), $ACC6 460 vmovdqu 32*7-192($tp0), $ACC7 461 462 mov %rax, $r0 463 imull $n0, %eax 464 and \$0x1fffffff, %eax 465 vmovd %eax, $Y1 466 467 mov %rax, %rdx 468 imulq -128($np), %rax 469 vpbroadcastq $Y1, $Y1 470 add %rax, $r0 471 mov %rdx, %rax 472 imulq 8-128($np), %rax 473 shr \$29, $r0 474 add %rax, $r1 475 mov %rdx, %rax 476 imulq 16-128($np), %rax 477 add $r0, $r1 478 add %rax, $r2 479 imulq 24-128($np), %rdx 480 add %rdx, $r3 481 482 mov $r1, %rax 483 imull $n0, %eax 484 and \$0x1fffffff, %eax 485 486 mov \$9, $i 487 jmp .LOOP_REDUCE_1024 488 489.align 32 490.LOOP_REDUCE_1024: 491 vmovd %eax, $Y2 492 vpbroadcastq $Y2, $Y2 493 494 vpmuludq 32*1-128($np), $Y1, $TEMP0 495 mov %rax, %rdx 496 imulq -128($np), %rax 497 vpaddq $TEMP0, $ACC1, $ACC1 498 add %rax, $r1 499 vpmuludq 32*2-128($np), $Y1, $TEMP1 500 mov %rdx, %rax 501 imulq 8-128($np), %rax 502 vpaddq $TEMP1, $ACC2, $ACC2 503 vpmuludq 32*3-128($np), $Y1, $TEMP2 504 .byte 0x67 505 add %rax, $r2 506 .byte 0x67 507 mov %rdx, %rax 508 imulq 16-128($np), %rax 509 shr \$29, $r1 510 vpaddq $TEMP2, $ACC3, $ACC3 511 vpmuludq 32*4-128($np), $Y1, $TEMP0 512 add %rax, $r3 513 add $r1, $r2 514 vpaddq $TEMP0, $ACC4, $ACC4 515 vpmuludq 32*5-128($np), $Y1, $TEMP1 516 mov $r2, %rax 517 imull $n0, %eax 518 vpaddq $TEMP1, $ACC5, $ACC5 519 vpmuludq 32*6-128($np), $Y1, $TEMP2 520 and \$0x1fffffff, %eax 521 vpaddq $TEMP2, $ACC6, $ACC6 522 vpmuludq 32*7-128($np), $Y1, $TEMP0 523 vpaddq $TEMP0, $ACC7, $ACC7 524 vpmuludq 32*8-128($np), $Y1, $TEMP1 525 vmovd %eax, $Y1 526 #vmovdqu 32*1-8-128($np), $TEMP2 # moved below 527 vpaddq $TEMP1, $ACC8, $ACC8 528 #vmovdqu 32*2-8-128($np), $TEMP0 # moved below 529 vpbroadcastq $Y1, $Y1 530 531 vpmuludq 32*1-8-128($np), $Y2, $TEMP2 # see above 532 vmovdqu 32*3-8-128($np), $TEMP1 533 mov %rax, %rdx 534 imulq -128($np), %rax 535 vpaddq $TEMP2, $ACC1, $ACC1 536 vpmuludq 32*2-8-128($np), $Y2, $TEMP0 # see above 537 vmovdqu 32*4-8-128($np), $TEMP2 538 add %rax, $r2 539 mov %rdx, %rax 540 imulq 8-128($np), %rax 541 vpaddq $TEMP0, $ACC2, $ACC2 542 add $r3, %rax 543 shr \$29, $r2 544 vpmuludq $Y2, $TEMP1, $TEMP1 545 vmovdqu 32*5-8-128($np), $TEMP0 546 add $r2, %rax 547 vpaddq $TEMP1, $ACC3, $ACC3 548 vpmuludq $Y2, $TEMP2, $TEMP2 549 vmovdqu 32*6-8-128($np), $TEMP1 550 .byte 0x67 551 mov %rax, $r3 552 imull $n0, %eax 553 vpaddq $TEMP2, $ACC4, $ACC4 554 vpmuludq $Y2, $TEMP0, $TEMP0 555 .byte 0xc4,0x41,0x7e,0x6f,0x9d,0x58,0x00,0x00,0x00 # vmovdqu 32*7-8-128($np), $TEMP2 556 and \$0x1fffffff, %eax 557 vpaddq $TEMP0, $ACC5, $ACC5 558 vpmuludq $Y2, $TEMP1, $TEMP1 559 vmovdqu 32*8-8-128($np), $TEMP0 560 vpaddq $TEMP1, $ACC6, $ACC6 561 vpmuludq $Y2, $TEMP2, $TEMP2 562 vmovdqu 32*9-8-128($np), $ACC9 563 vmovd %eax, $ACC0 # borrow ACC0 for Y2 564 imulq -128($np), %rax 565 vpaddq $TEMP2, $ACC7, $ACC7 566 vpmuludq $Y2, $TEMP0, $TEMP0 567 vmovdqu 32*1-16-128($np), $TEMP1 568 vpbroadcastq $ACC0, $ACC0 569 vpaddq $TEMP0, $ACC8, $ACC8 570 vpmuludq $Y2, $ACC9, $ACC9 571 vmovdqu 32*2-16-128($np), $TEMP2 572 add %rax, $r3 573 574___ 575($ACC0,$Y2)=($Y2,$ACC0); 576$code.=<<___; 577 vmovdqu 32*1-24-128($np), $ACC0 578 vpmuludq $Y1, $TEMP1, $TEMP1 579 vmovdqu 32*3-16-128($np), $TEMP0 580 vpaddq $TEMP1, $ACC1, $ACC1 581 vpmuludq $Y2, $ACC0, $ACC0 582 vpmuludq $Y1, $TEMP2, $TEMP2 583 .byte 0xc4,0x41,0x7e,0x6f,0xb5,0xf0,0xff,0xff,0xff # vmovdqu 32*4-16-128($np), $TEMP1 584 vpaddq $ACC1, $ACC0, $ACC0 585 vpaddq $TEMP2, $ACC2, $ACC2 586 vpmuludq $Y1, $TEMP0, $TEMP0 587 vmovdqu 32*5-16-128($np), $TEMP2 588 .byte 0x67 589 vmovq $ACC0, %rax 590 vmovdqu $ACC0, (%rsp) # transfer $r0-$r3 591 vpaddq $TEMP0, $ACC3, $ACC3 592 vpmuludq $Y1, $TEMP1, $TEMP1 593 vmovdqu 32*6-16-128($np), $TEMP0 594 vpaddq $TEMP1, $ACC4, $ACC4 595 vpmuludq $Y1, $TEMP2, $TEMP2 596 vmovdqu 32*7-16-128($np), $TEMP1 597 vpaddq $TEMP2, $ACC5, $ACC5 598 vpmuludq $Y1, $TEMP0, $TEMP0 599 vmovdqu 32*8-16-128($np), $TEMP2 600 vpaddq $TEMP0, $ACC6, $ACC6 601 vpmuludq $Y1, $TEMP1, $TEMP1 602 shr \$29, $r3 603 vmovdqu 32*9-16-128($np), $TEMP0 604 add $r3, %rax 605 vpaddq $TEMP1, $ACC7, $ACC7 606 vpmuludq $Y1, $TEMP2, $TEMP2 607 #vmovdqu 32*2-24-128($np), $TEMP1 # moved below 608 mov %rax, $r0 609 imull $n0, %eax 610 vpaddq $TEMP2, $ACC8, $ACC8 611 vpmuludq $Y1, $TEMP0, $TEMP0 612 and \$0x1fffffff, %eax 613 vmovd %eax, $Y1 614 vmovdqu 32*3-24-128($np), $TEMP2 615 .byte 0x67 616 vpaddq $TEMP0, $ACC9, $ACC9 617 vpbroadcastq $Y1, $Y1 618 619 vpmuludq 32*2-24-128($np), $Y2, $TEMP1 # see above 620 vmovdqu 32*4-24-128($np), $TEMP0 621 mov %rax, %rdx 622 imulq -128($np), %rax 623 mov 8(%rsp), $r1 624 vpaddq $TEMP1, $ACC2, $ACC1 625 vpmuludq $Y2, $TEMP2, $TEMP2 626 vmovdqu 32*5-24-128($np), $TEMP1 627 add %rax, $r0 628 mov %rdx, %rax 629 imulq 8-128($np), %rax 630 .byte 0x67 631 shr \$29, $r0 632 mov 16(%rsp), $r2 633 vpaddq $TEMP2, $ACC3, $ACC2 634 vpmuludq $Y2, $TEMP0, $TEMP0 635 vmovdqu 32*6-24-128($np), $TEMP2 636 add %rax, $r1 637 mov %rdx, %rax 638 imulq 16-128($np), %rax 639 vpaddq $TEMP0, $ACC4, $ACC3 640 vpmuludq $Y2, $TEMP1, $TEMP1 641 vmovdqu 32*7-24-128($np), $TEMP0 642 imulq 24-128($np), %rdx # future $r3 643 add %rax, $r2 644 lea ($r0,$r1), %rax 645 vpaddq $TEMP1, $ACC5, $ACC4 646 vpmuludq $Y2, $TEMP2, $TEMP2 647 vmovdqu 32*8-24-128($np), $TEMP1 648 mov %rax, $r1 649 imull $n0, %eax 650 vpmuludq $Y2, $TEMP0, $TEMP0 651 vpaddq $TEMP2, $ACC6, $ACC5 652 vmovdqu 32*9-24-128($np), $TEMP2 653 and \$0x1fffffff, %eax 654 vpaddq $TEMP0, $ACC7, $ACC6 655 vpmuludq $Y2, $TEMP1, $TEMP1 656 add 24(%rsp), %rdx 657 vpaddq $TEMP1, $ACC8, $ACC7 658 vpmuludq $Y2, $TEMP2, $TEMP2 659 vpaddq $TEMP2, $ACC9, $ACC8 660 vmovq $r3, $ACC9 661 mov %rdx, $r3 662 663 dec $i 664 jnz .LOOP_REDUCE_1024 665___ 666($ACC0,$Y2)=($Y2,$ACC0); 667$code.=<<___; 668 lea 448(%rsp), $tp1 # size optimization 669 vpaddq $ACC9, $Y2, $ACC0 670 vpxor $ZERO, $ZERO, $ZERO 671 672 vpaddq 32*9-192($tp0), $ACC0, $ACC0 673 vpaddq 32*10-448($tp1), $ACC1, $ACC1 674 vpaddq 32*11-448($tp1), $ACC2, $ACC2 675 vpaddq 32*12-448($tp1), $ACC3, $ACC3 676 vpaddq 32*13-448($tp1), $ACC4, $ACC4 677 vpaddq 32*14-448($tp1), $ACC5, $ACC5 678 vpaddq 32*15-448($tp1), $ACC6, $ACC6 679 vpaddq 32*16-448($tp1), $ACC7, $ACC7 680 vpaddq 32*17-448($tp1), $ACC8, $ACC8 681 682 vpsrlq \$29, $ACC0, $TEMP1 683 vpand $AND_MASK, $ACC0, $ACC0 684 vpsrlq \$29, $ACC1, $TEMP2 685 vpand $AND_MASK, $ACC1, $ACC1 686 vpsrlq \$29, $ACC2, $TEMP3 687 vpermq \$0x93, $TEMP1, $TEMP1 688 vpand $AND_MASK, $ACC2, $ACC2 689 vpsrlq \$29, $ACC3, $TEMP4 690 vpermq \$0x93, $TEMP2, $TEMP2 691 vpand $AND_MASK, $ACC3, $ACC3 692 vpermq \$0x93, $TEMP3, $TEMP3 693 694 vpblendd \$3, $ZERO, $TEMP1, $TEMP0 695 vpermq \$0x93, $TEMP4, $TEMP4 696 vpblendd \$3, $TEMP1, $TEMP2, $TEMP1 697 vpaddq $TEMP0, $ACC0, $ACC0 698 vpblendd \$3, $TEMP2, $TEMP3, $TEMP2 699 vpaddq $TEMP1, $ACC1, $ACC1 700 vpblendd \$3, $TEMP3, $TEMP4, $TEMP3 701 vpaddq $TEMP2, $ACC2, $ACC2 702 vpblendd \$3, $TEMP4, $ZERO, $TEMP4 703 vpaddq $TEMP3, $ACC3, $ACC3 704 vpaddq $TEMP4, $ACC4, $ACC4 705 706 vpsrlq \$29, $ACC0, $TEMP1 707 vpand $AND_MASK, $ACC0, $ACC0 708 vpsrlq \$29, $ACC1, $TEMP2 709 vpand $AND_MASK, $ACC1, $ACC1 710 vpsrlq \$29, $ACC2, $TEMP3 711 vpermq \$0x93, $TEMP1, $TEMP1 712 vpand $AND_MASK, $ACC2, $ACC2 713 vpsrlq \$29, $ACC3, $TEMP4 714 vpermq \$0x93, $TEMP2, $TEMP2 715 vpand $AND_MASK, $ACC3, $ACC3 716 vpermq \$0x93, $TEMP3, $TEMP3 717 718 vpblendd \$3, $ZERO, $TEMP1, $TEMP0 719 vpermq \$0x93, $TEMP4, $TEMP4 720 vpblendd \$3, $TEMP1, $TEMP2, $TEMP1 721 vpaddq $TEMP0, $ACC0, $ACC0 722 vpblendd \$3, $TEMP2, $TEMP3, $TEMP2 723 vpaddq $TEMP1, $ACC1, $ACC1 724 vmovdqu $ACC0, 32*0-128($rp) 725 vpblendd \$3, $TEMP3, $TEMP4, $TEMP3 726 vpaddq $TEMP2, $ACC2, $ACC2 727 vmovdqu $ACC1, 32*1-128($rp) 728 vpblendd \$3, $TEMP4, $ZERO, $TEMP4 729 vpaddq $TEMP3, $ACC3, $ACC3 730 vmovdqu $ACC2, 32*2-128($rp) 731 vpaddq $TEMP4, $ACC4, $ACC4 732 vmovdqu $ACC3, 32*3-128($rp) 733___ 734$TEMP5=$ACC0; 735$code.=<<___; 736 vpsrlq \$29, $ACC4, $TEMP1 737 vpand $AND_MASK, $ACC4, $ACC4 738 vpsrlq \$29, $ACC5, $TEMP2 739 vpand $AND_MASK, $ACC5, $ACC5 740 vpsrlq \$29, $ACC6, $TEMP3 741 vpermq \$0x93, $TEMP1, $TEMP1 742 vpand $AND_MASK, $ACC6, $ACC6 743 vpsrlq \$29, $ACC7, $TEMP4 744 vpermq \$0x93, $TEMP2, $TEMP2 745 vpand $AND_MASK, $ACC7, $ACC7 746 vpsrlq \$29, $ACC8, $TEMP5 747 vpermq \$0x93, $TEMP3, $TEMP3 748 vpand $AND_MASK, $ACC8, $ACC8 749 vpermq \$0x93, $TEMP4, $TEMP4 750 751 vpblendd \$3, $ZERO, $TEMP1, $TEMP0 752 vpermq \$0x93, $TEMP5, $TEMP5 753 vpblendd \$3, $TEMP1, $TEMP2, $TEMP1 754 vpaddq $TEMP0, $ACC4, $ACC4 755 vpblendd \$3, $TEMP2, $TEMP3, $TEMP2 756 vpaddq $TEMP1, $ACC5, $ACC5 757 vpblendd \$3, $TEMP3, $TEMP4, $TEMP3 758 vpaddq $TEMP2, $ACC6, $ACC6 759 vpblendd \$3, $TEMP4, $TEMP5, $TEMP4 760 vpaddq $TEMP3, $ACC7, $ACC7 761 vpaddq $TEMP4, $ACC8, $ACC8 762 763 vpsrlq \$29, $ACC4, $TEMP1 764 vpand $AND_MASK, $ACC4, $ACC4 765 vpsrlq \$29, $ACC5, $TEMP2 766 vpand $AND_MASK, $ACC5, $ACC5 767 vpsrlq \$29, $ACC6, $TEMP3 768 vpermq \$0x93, $TEMP1, $TEMP1 769 vpand $AND_MASK, $ACC6, $ACC6 770 vpsrlq \$29, $ACC7, $TEMP4 771 vpermq \$0x93, $TEMP2, $TEMP2 772 vpand $AND_MASK, $ACC7, $ACC7 773 vpsrlq \$29, $ACC8, $TEMP5 774 vpermq \$0x93, $TEMP3, $TEMP3 775 vpand $AND_MASK, $ACC8, $ACC8 776 vpermq \$0x93, $TEMP4, $TEMP4 777 778 vpblendd \$3, $ZERO, $TEMP1, $TEMP0 779 vpermq \$0x93, $TEMP5, $TEMP5 780 vpblendd \$3, $TEMP1, $TEMP2, $TEMP1 781 vpaddq $TEMP0, $ACC4, $ACC4 782 vpblendd \$3, $TEMP2, $TEMP3, $TEMP2 783 vpaddq $TEMP1, $ACC5, $ACC5 784 vmovdqu $ACC4, 32*4-128($rp) 785 vpblendd \$3, $TEMP3, $TEMP4, $TEMP3 786 vpaddq $TEMP2, $ACC6, $ACC6 787 vmovdqu $ACC5, 32*5-128($rp) 788 vpblendd \$3, $TEMP4, $TEMP5, $TEMP4 789 vpaddq $TEMP3, $ACC7, $ACC7 790 vmovdqu $ACC6, 32*6-128($rp) 791 vpaddq $TEMP4, $ACC8, $ACC8 792 vmovdqu $ACC7, 32*7-128($rp) 793 vmovdqu $ACC8, 32*8-128($rp) 794 795 mov $rp, $ap 796 dec $rep 797 jne .LOOP_GRANDE_SQR_1024 798 799 vzeroall 800 mov %rbp, %rax 801.cfi_def_cfa_register %rax 802___ 803$code.=<<___ if ($win64); 804.Lsqr_1024_in_tail: 805 movaps -0xd8(%rax),%xmm6 806 movaps -0xc8(%rax),%xmm7 807 movaps -0xb8(%rax),%xmm8 808 movaps -0xa8(%rax),%xmm9 809 movaps -0x98(%rax),%xmm10 810 movaps -0x88(%rax),%xmm11 811 movaps -0x78(%rax),%xmm12 812 movaps -0x68(%rax),%xmm13 813 movaps -0x58(%rax),%xmm14 814 movaps -0x48(%rax),%xmm15 815___ 816$code.=<<___; 817 mov -48(%rax),%r15 818.cfi_restore %r15 819 mov -40(%rax),%r14 820.cfi_restore %r14 821 mov -32(%rax),%r13 822.cfi_restore %r13 823 mov -24(%rax),%r12 824.cfi_restore %r12 825 mov -16(%rax),%rbp 826.cfi_restore %rbp 827 mov -8(%rax),%rbx 828.cfi_restore %rbx 829 lea (%rax),%rsp # restore %rsp 830.cfi_def_cfa_register %rsp 831.Lsqr_1024_epilogue: 832 ret 833.cfi_endproc 834.size rsaz_1024_sqr_avx2,.-rsaz_1024_sqr_avx2 835___ 836} 837 838{ # void AMM_WW( 839my $rp="%rdi"; # BN_ULONG *rp, 840my $ap="%rsi"; # const BN_ULONG *ap, 841my $bp="%rdx"; # const BN_ULONG *bp, 842my $np="%rcx"; # const BN_ULONG *np, 843my $n0="%r8d"; # unsigned int n0); 844 845# The registers that hold the accumulated redundant result 846# The AMM works on 1024 bit operands, and redundant word size is 29 847# Therefore: ceil(1024/29)/4 = 9 848my $ACC0="%ymm0"; 849my $ACC1="%ymm1"; 850my $ACC2="%ymm2"; 851my $ACC3="%ymm3"; 852my $ACC4="%ymm4"; 853my $ACC5="%ymm5"; 854my $ACC6="%ymm6"; 855my $ACC7="%ymm7"; 856my $ACC8="%ymm8"; 857my $ACC9="%ymm9"; 858 859# Registers that hold the broadcasted words of multiplier, currently used 860my $Bi="%ymm10"; 861my $Yi="%ymm11"; 862 863# Helper registers 864my $TEMP0=$ACC0; 865my $TEMP1="%ymm12"; 866my $TEMP2="%ymm13"; 867my $ZERO="%ymm14"; 868my $AND_MASK="%ymm15"; 869 870# alu registers that hold the first words of the ACC 871my $r0="%r9"; 872my $r1="%r10"; 873my $r2="%r11"; 874my $r3="%r12"; 875 876my $i="%r14d"; 877my $tmp="%r15"; 878 879$bp="%r13"; # reassigned argument 880 881$code.=<<___; 882.globl rsaz_1024_mul_avx2 883.type rsaz_1024_mul_avx2,\@function,5 884.align 64 885rsaz_1024_mul_avx2: 886.cfi_startproc 887 lea (%rsp), %rax 888.cfi_def_cfa_register %rax 889 push %rbx 890.cfi_push %rbx 891 push %rbp 892.cfi_push %rbp 893 push %r12 894.cfi_push %r12 895 push %r13 896.cfi_push %r13 897 push %r14 898.cfi_push %r14 899 push %r15 900.cfi_push %r15 901___ 902$code.=<<___ if ($win64); 903 vzeroupper 904 lea -0xa8(%rsp),%rsp 905 vmovaps %xmm6,-0xd8(%rax) 906 vmovaps %xmm7,-0xc8(%rax) 907 vmovaps %xmm8,-0xb8(%rax) 908 vmovaps %xmm9,-0xa8(%rax) 909 vmovaps %xmm10,-0x98(%rax) 910 vmovaps %xmm11,-0x88(%rax) 911 vmovaps %xmm12,-0x78(%rax) 912 vmovaps %xmm13,-0x68(%rax) 913 vmovaps %xmm14,-0x58(%rax) 914 vmovaps %xmm15,-0x48(%rax) 915.Lmul_1024_body: 916___ 917$code.=<<___; 918 mov %rax,%rbp 919.cfi_def_cfa_register %rbp 920 vzeroall 921 mov %rdx, $bp # reassigned argument 922 sub \$64,%rsp 923 924 # unaligned 256-bit load that crosses page boundary can 925 # cause severe performance degradation here, so if $ap does 926 # cross page boundary, swap it with $bp [meaning that caller 927 # is advised to lay down $ap and $bp next to each other, so 928 # that only one can cross page boundary]. 929 .byte 0x67,0x67 930 mov $ap, $tmp 931 and \$4095, $tmp 932 add \$32*10, $tmp 933 shr \$12, $tmp 934 mov $ap, $tmp 935 cmovnz $bp, $ap 936 cmovnz $tmp, $bp 937 938 mov $np, $tmp 939 sub \$-128,$ap # size optimization 940 sub \$-128,$np 941 sub \$-128,$rp 942 943 and \$4095, $tmp # see if $np crosses page 944 add \$32*10, $tmp 945 .byte 0x67,0x67 946 shr \$12, $tmp 947 jz .Lmul_1024_no_n_copy 948 949 # unaligned 256-bit load that crosses page boundary can 950 # cause severe performance degradation here, so if $np does 951 # cross page boundary, copy it to stack and make sure stack 952 # frame doesn't... 953 sub \$32*10,%rsp 954 vmovdqu 32*0-128($np), $ACC0 955 and \$-512, %rsp 956 vmovdqu 32*1-128($np), $ACC1 957 vmovdqu 32*2-128($np), $ACC2 958 vmovdqu 32*3-128($np), $ACC3 959 vmovdqu 32*4-128($np), $ACC4 960 vmovdqu 32*5-128($np), $ACC5 961 vmovdqu 32*6-128($np), $ACC6 962 vmovdqu 32*7-128($np), $ACC7 963 vmovdqu 32*8-128($np), $ACC8 964 lea 64+128(%rsp),$np 965 vmovdqu $ACC0, 32*0-128($np) 966 vpxor $ACC0, $ACC0, $ACC0 967 vmovdqu $ACC1, 32*1-128($np) 968 vpxor $ACC1, $ACC1, $ACC1 969 vmovdqu $ACC2, 32*2-128($np) 970 vpxor $ACC2, $ACC2, $ACC2 971 vmovdqu $ACC3, 32*3-128($np) 972 vpxor $ACC3, $ACC3, $ACC3 973 vmovdqu $ACC4, 32*4-128($np) 974 vpxor $ACC4, $ACC4, $ACC4 975 vmovdqu $ACC5, 32*5-128($np) 976 vpxor $ACC5, $ACC5, $ACC5 977 vmovdqu $ACC6, 32*6-128($np) 978 vpxor $ACC6, $ACC6, $ACC6 979 vmovdqu $ACC7, 32*7-128($np) 980 vpxor $ACC7, $ACC7, $ACC7 981 vmovdqu $ACC8, 32*8-128($np) 982 vmovdqa $ACC0, $ACC8 983 vmovdqu $ACC9, 32*9-128($np) # $ACC9 is zero after vzeroall 984.Lmul_1024_no_n_copy: 985 and \$-64,%rsp 986 987 mov ($bp), %rbx 988 vpbroadcastq ($bp), $Bi 989 vmovdqu $ACC0, (%rsp) # clear top of stack 990 xor $r0, $r0 991 .byte 0x67 992 xor $r1, $r1 993 xor $r2, $r2 994 xor $r3, $r3 995 996 vmovdqu .Land_mask(%rip), $AND_MASK 997 mov \$9, $i 998 vmovdqu $ACC9, 32*9-128($rp) # $ACC9 is zero after vzeroall 999 jmp .Loop_mul_1024 1000 1001.align 32 1002.Loop_mul_1024: 1003 vpsrlq \$29, $ACC3, $ACC9 # correct $ACC3(*) 1004 mov %rbx, %rax 1005 imulq -128($ap), %rax 1006 add $r0, %rax 1007 mov %rbx, $r1 1008 imulq 8-128($ap), $r1 1009 add 8(%rsp), $r1 1010 1011 mov %rax, $r0 1012 imull $n0, %eax 1013 and \$0x1fffffff, %eax 1014 1015 mov %rbx, $r2 1016 imulq 16-128($ap), $r2 1017 add 16(%rsp), $r2 1018 1019 mov %rbx, $r3 1020 imulq 24-128($ap), $r3 1021 add 24(%rsp), $r3 1022 vpmuludq 32*1-128($ap),$Bi,$TEMP0 1023 vmovd %eax, $Yi 1024 vpaddq $TEMP0,$ACC1,$ACC1 1025 vpmuludq 32*2-128($ap),$Bi,$TEMP1 1026 vpbroadcastq $Yi, $Yi 1027 vpaddq $TEMP1,$ACC2,$ACC2 1028 vpmuludq 32*3-128($ap),$Bi,$TEMP2 1029 vpand $AND_MASK, $ACC3, $ACC3 # correct $ACC3 1030 vpaddq $TEMP2,$ACC3,$ACC3 1031 vpmuludq 32*4-128($ap),$Bi,$TEMP0 1032 vpaddq $TEMP0,$ACC4,$ACC4 1033 vpmuludq 32*5-128($ap),$Bi,$TEMP1 1034 vpaddq $TEMP1,$ACC5,$ACC5 1035 vpmuludq 32*6-128($ap),$Bi,$TEMP2 1036 vpaddq $TEMP2,$ACC6,$ACC6 1037 vpmuludq 32*7-128($ap),$Bi,$TEMP0 1038 vpermq \$0x93, $ACC9, $ACC9 # correct $ACC3 1039 vpaddq $TEMP0,$ACC7,$ACC7 1040 vpmuludq 32*8-128($ap),$Bi,$TEMP1 1041 vpbroadcastq 8($bp), $Bi 1042 vpaddq $TEMP1,$ACC8,$ACC8 1043 1044 mov %rax,%rdx 1045 imulq -128($np),%rax 1046 add %rax,$r0 1047 mov %rdx,%rax 1048 imulq 8-128($np),%rax 1049 add %rax,$r1 1050 mov %rdx,%rax 1051 imulq 16-128($np),%rax 1052 add %rax,$r2 1053 shr \$29, $r0 1054 imulq 24-128($np),%rdx 1055 add %rdx,$r3 1056 add $r0, $r1 1057 1058 vpmuludq 32*1-128($np),$Yi,$TEMP2 1059 vmovq $Bi, %rbx 1060 vpaddq $TEMP2,$ACC1,$ACC1 1061 vpmuludq 32*2-128($np),$Yi,$TEMP0 1062 vpaddq $TEMP0,$ACC2,$ACC2 1063 vpmuludq 32*3-128($np),$Yi,$TEMP1 1064 vpaddq $TEMP1,$ACC3,$ACC3 1065 vpmuludq 32*4-128($np),$Yi,$TEMP2 1066 vpaddq $TEMP2,$ACC4,$ACC4 1067 vpmuludq 32*5-128($np),$Yi,$TEMP0 1068 vpaddq $TEMP0,$ACC5,$ACC5 1069 vpmuludq 32*6-128($np),$Yi,$TEMP1 1070 vpaddq $TEMP1,$ACC6,$ACC6 1071 vpmuludq 32*7-128($np),$Yi,$TEMP2 1072 vpblendd \$3, $ZERO, $ACC9, $TEMP1 # correct $ACC3 1073 vpaddq $TEMP2,$ACC7,$ACC7 1074 vpmuludq 32*8-128($np),$Yi,$TEMP0 1075 vpaddq $TEMP1, $ACC3, $ACC3 # correct $ACC3 1076 vpaddq $TEMP0,$ACC8,$ACC8 1077 1078 mov %rbx, %rax 1079 imulq -128($ap),%rax 1080 add %rax,$r1 1081 vmovdqu -8+32*1-128($ap),$TEMP1 1082 mov %rbx, %rax 1083 imulq 8-128($ap),%rax 1084 add %rax,$r2 1085 vmovdqu -8+32*2-128($ap),$TEMP2 1086 1087 mov $r1, %rax 1088 vpblendd \$0xfc, $ZERO, $ACC9, $ACC9 # correct $ACC3 1089 imull $n0, %eax 1090 vpaddq $ACC9,$ACC4,$ACC4 # correct $ACC3 1091 and \$0x1fffffff, %eax 1092 1093 imulq 16-128($ap),%rbx 1094 add %rbx,$r3 1095 vpmuludq $Bi,$TEMP1,$TEMP1 1096 vmovd %eax, $Yi 1097 vmovdqu -8+32*3-128($ap),$TEMP0 1098 vpaddq $TEMP1,$ACC1,$ACC1 1099 vpmuludq $Bi,$TEMP2,$TEMP2 1100 vpbroadcastq $Yi, $Yi 1101 vmovdqu -8+32*4-128($ap),$TEMP1 1102 vpaddq $TEMP2,$ACC2,$ACC2 1103 vpmuludq $Bi,$TEMP0,$TEMP0 1104 vmovdqu -8+32*5-128($ap),$TEMP2 1105 vpaddq $TEMP0,$ACC3,$ACC3 1106 vpmuludq $Bi,$TEMP1,$TEMP1 1107 vmovdqu -8+32*6-128($ap),$TEMP0 1108 vpaddq $TEMP1,$ACC4,$ACC4 1109 vpmuludq $Bi,$TEMP2,$TEMP2 1110 vmovdqu -8+32*7-128($ap),$TEMP1 1111 vpaddq $TEMP2,$ACC5,$ACC5 1112 vpmuludq $Bi,$TEMP0,$TEMP0 1113 vmovdqu -8+32*8-128($ap),$TEMP2 1114 vpaddq $TEMP0,$ACC6,$ACC6 1115 vpmuludq $Bi,$TEMP1,$TEMP1 1116 vmovdqu -8+32*9-128($ap),$ACC9 1117 vpaddq $TEMP1,$ACC7,$ACC7 1118 vpmuludq $Bi,$TEMP2,$TEMP2 1119 vpaddq $TEMP2,$ACC8,$ACC8 1120 vpmuludq $Bi,$ACC9,$ACC9 1121 vpbroadcastq 16($bp), $Bi 1122 1123 mov %rax,%rdx 1124 imulq -128($np),%rax 1125 add %rax,$r1 1126 vmovdqu -8+32*1-128($np),$TEMP0 1127 mov %rdx,%rax 1128 imulq 8-128($np),%rax 1129 add %rax,$r2 1130 vmovdqu -8+32*2-128($np),$TEMP1 1131 shr \$29, $r1 1132 imulq 16-128($np),%rdx 1133 add %rdx,$r3 1134 add $r1, $r2 1135 1136 vpmuludq $Yi,$TEMP0,$TEMP0 1137 vmovq $Bi, %rbx 1138 vmovdqu -8+32*3-128($np),$TEMP2 1139 vpaddq $TEMP0,$ACC1,$ACC1 1140 vpmuludq $Yi,$TEMP1,$TEMP1 1141 vmovdqu -8+32*4-128($np),$TEMP0 1142 vpaddq $TEMP1,$ACC2,$ACC2 1143 vpmuludq $Yi,$TEMP2,$TEMP2 1144 vmovdqu -8+32*5-128($np),$TEMP1 1145 vpaddq $TEMP2,$ACC3,$ACC3 1146 vpmuludq $Yi,$TEMP0,$TEMP0 1147 vmovdqu -8+32*6-128($np),$TEMP2 1148 vpaddq $TEMP0,$ACC4,$ACC4 1149 vpmuludq $Yi,$TEMP1,$TEMP1 1150 vmovdqu -8+32*7-128($np),$TEMP0 1151 vpaddq $TEMP1,$ACC5,$ACC5 1152 vpmuludq $Yi,$TEMP2,$TEMP2 1153 vmovdqu -8+32*8-128($np),$TEMP1 1154 vpaddq $TEMP2,$ACC6,$ACC6 1155 vpmuludq $Yi,$TEMP0,$TEMP0 1156 vmovdqu -8+32*9-128($np),$TEMP2 1157 vpaddq $TEMP0,$ACC7,$ACC7 1158 vpmuludq $Yi,$TEMP1,$TEMP1 1159 vpaddq $TEMP1,$ACC8,$ACC8 1160 vpmuludq $Yi,$TEMP2,$TEMP2 1161 vpaddq $TEMP2,$ACC9,$ACC9 1162 1163 vmovdqu -16+32*1-128($ap),$TEMP0 1164 mov %rbx,%rax 1165 imulq -128($ap),%rax 1166 add $r2,%rax 1167 1168 vmovdqu -16+32*2-128($ap),$TEMP1 1169 mov %rax,$r2 1170 imull $n0, %eax 1171 and \$0x1fffffff, %eax 1172 1173 imulq 8-128($ap),%rbx 1174 add %rbx,$r3 1175 vpmuludq $Bi,$TEMP0,$TEMP0 1176 vmovd %eax, $Yi 1177 vmovdqu -16+32*3-128($ap),$TEMP2 1178 vpaddq $TEMP0,$ACC1,$ACC1 1179 vpmuludq $Bi,$TEMP1,$TEMP1 1180 vpbroadcastq $Yi, $Yi 1181 vmovdqu -16+32*4-128($ap),$TEMP0 1182 vpaddq $TEMP1,$ACC2,$ACC2 1183 vpmuludq $Bi,$TEMP2,$TEMP2 1184 vmovdqu -16+32*5-128($ap),$TEMP1 1185 vpaddq $TEMP2,$ACC3,$ACC3 1186 vpmuludq $Bi,$TEMP0,$TEMP0 1187 vmovdqu -16+32*6-128($ap),$TEMP2 1188 vpaddq $TEMP0,$ACC4,$ACC4 1189 vpmuludq $Bi,$TEMP1,$TEMP1 1190 vmovdqu -16+32*7-128($ap),$TEMP0 1191 vpaddq $TEMP1,$ACC5,$ACC5 1192 vpmuludq $Bi,$TEMP2,$TEMP2 1193 vmovdqu -16+32*8-128($ap),$TEMP1 1194 vpaddq $TEMP2,$ACC6,$ACC6 1195 vpmuludq $Bi,$TEMP0,$TEMP0 1196 vmovdqu -16+32*9-128($ap),$TEMP2 1197 vpaddq $TEMP0,$ACC7,$ACC7 1198 vpmuludq $Bi,$TEMP1,$TEMP1 1199 vpaddq $TEMP1,$ACC8,$ACC8 1200 vpmuludq $Bi,$TEMP2,$TEMP2 1201 vpbroadcastq 24($bp), $Bi 1202 vpaddq $TEMP2,$ACC9,$ACC9 1203 1204 vmovdqu -16+32*1-128($np),$TEMP0 1205 mov %rax,%rdx 1206 imulq -128($np),%rax 1207 add %rax,$r2 1208 vmovdqu -16+32*2-128($np),$TEMP1 1209 imulq 8-128($np),%rdx 1210 add %rdx,$r3 1211 shr \$29, $r2 1212 1213 vpmuludq $Yi,$TEMP0,$TEMP0 1214 vmovq $Bi, %rbx 1215 vmovdqu -16+32*3-128($np),$TEMP2 1216 vpaddq $TEMP0,$ACC1,$ACC1 1217 vpmuludq $Yi,$TEMP1,$TEMP1 1218 vmovdqu -16+32*4-128($np),$TEMP0 1219 vpaddq $TEMP1,$ACC2,$ACC2 1220 vpmuludq $Yi,$TEMP2,$TEMP2 1221 vmovdqu -16+32*5-128($np),$TEMP1 1222 vpaddq $TEMP2,$ACC3,$ACC3 1223 vpmuludq $Yi,$TEMP0,$TEMP0 1224 vmovdqu -16+32*6-128($np),$TEMP2 1225 vpaddq $TEMP0,$ACC4,$ACC4 1226 vpmuludq $Yi,$TEMP1,$TEMP1 1227 vmovdqu -16+32*7-128($np),$TEMP0 1228 vpaddq $TEMP1,$ACC5,$ACC5 1229 vpmuludq $Yi,$TEMP2,$TEMP2 1230 vmovdqu -16+32*8-128($np),$TEMP1 1231 vpaddq $TEMP2,$ACC6,$ACC6 1232 vpmuludq $Yi,$TEMP0,$TEMP0 1233 vmovdqu -16+32*9-128($np),$TEMP2 1234 vpaddq $TEMP0,$ACC7,$ACC7 1235 vpmuludq $Yi,$TEMP1,$TEMP1 1236 vmovdqu -24+32*1-128($ap),$TEMP0 1237 vpaddq $TEMP1,$ACC8,$ACC8 1238 vpmuludq $Yi,$TEMP2,$TEMP2 1239 vmovdqu -24+32*2-128($ap),$TEMP1 1240 vpaddq $TEMP2,$ACC9,$ACC9 1241 1242 add $r2, $r3 1243 imulq -128($ap),%rbx 1244 add %rbx,$r3 1245 1246 mov $r3, %rax 1247 imull $n0, %eax 1248 and \$0x1fffffff, %eax 1249 1250 vpmuludq $Bi,$TEMP0,$TEMP0 1251 vmovd %eax, $Yi 1252 vmovdqu -24+32*3-128($ap),$TEMP2 1253 vpaddq $TEMP0,$ACC1,$ACC1 1254 vpmuludq $Bi,$TEMP1,$TEMP1 1255 vpbroadcastq $Yi, $Yi 1256 vmovdqu -24+32*4-128($ap),$TEMP0 1257 vpaddq $TEMP1,$ACC2,$ACC2 1258 vpmuludq $Bi,$TEMP2,$TEMP2 1259 vmovdqu -24+32*5-128($ap),$TEMP1 1260 vpaddq $TEMP2,$ACC3,$ACC3 1261 vpmuludq $Bi,$TEMP0,$TEMP0 1262 vmovdqu -24+32*6-128($ap),$TEMP2 1263 vpaddq $TEMP0,$ACC4,$ACC4 1264 vpmuludq $Bi,$TEMP1,$TEMP1 1265 vmovdqu -24+32*7-128($ap),$TEMP0 1266 vpaddq $TEMP1,$ACC5,$ACC5 1267 vpmuludq $Bi,$TEMP2,$TEMP2 1268 vmovdqu -24+32*8-128($ap),$TEMP1 1269 vpaddq $TEMP2,$ACC6,$ACC6 1270 vpmuludq $Bi,$TEMP0,$TEMP0 1271 vmovdqu -24+32*9-128($ap),$TEMP2 1272 vpaddq $TEMP0,$ACC7,$ACC7 1273 vpmuludq $Bi,$TEMP1,$TEMP1 1274 vpaddq $TEMP1,$ACC8,$ACC8 1275 vpmuludq $Bi,$TEMP2,$TEMP2 1276 vpbroadcastq 32($bp), $Bi 1277 vpaddq $TEMP2,$ACC9,$ACC9 1278 add \$32, $bp # $bp++ 1279 1280 vmovdqu -24+32*1-128($np),$TEMP0 1281 imulq -128($np),%rax 1282 add %rax,$r3 1283 shr \$29, $r3 1284 1285 vmovdqu -24+32*2-128($np),$TEMP1 1286 vpmuludq $Yi,$TEMP0,$TEMP0 1287 vmovq $Bi, %rbx 1288 vmovdqu -24+32*3-128($np),$TEMP2 1289 vpaddq $TEMP0,$ACC1,$ACC0 # $ACC0==$TEMP0 1290 vpmuludq $Yi,$TEMP1,$TEMP1 1291 vmovdqu $ACC0, (%rsp) # transfer $r0-$r3 1292 vpaddq $TEMP1,$ACC2,$ACC1 1293 vmovdqu -24+32*4-128($np),$TEMP0 1294 vpmuludq $Yi,$TEMP2,$TEMP2 1295 vmovdqu -24+32*5-128($np),$TEMP1 1296 vpaddq $TEMP2,$ACC3,$ACC2 1297 vpmuludq $Yi,$TEMP0,$TEMP0 1298 vmovdqu -24+32*6-128($np),$TEMP2 1299 vpaddq $TEMP0,$ACC4,$ACC3 1300 vpmuludq $Yi,$TEMP1,$TEMP1 1301 vmovdqu -24+32*7-128($np),$TEMP0 1302 vpaddq $TEMP1,$ACC5,$ACC4 1303 vpmuludq $Yi,$TEMP2,$TEMP2 1304 vmovdqu -24+32*8-128($np),$TEMP1 1305 vpaddq $TEMP2,$ACC6,$ACC5 1306 vpmuludq $Yi,$TEMP0,$TEMP0 1307 vmovdqu -24+32*9-128($np),$TEMP2 1308 mov $r3, $r0 1309 vpaddq $TEMP0,$ACC7,$ACC6 1310 vpmuludq $Yi,$TEMP1,$TEMP1 1311 add (%rsp), $r0 1312 vpaddq $TEMP1,$ACC8,$ACC7 1313 vpmuludq $Yi,$TEMP2,$TEMP2 1314 vmovq $r3, $TEMP1 1315 vpaddq $TEMP2,$ACC9,$ACC8 1316 1317 dec $i 1318 jnz .Loop_mul_1024 1319___ 1320 1321# (*) Original implementation was correcting ACC1-ACC3 for overflow 1322# after 7 loop runs, or after 28 iterations, or 56 additions. 1323# But as we underutilize resources, it's possible to correct in 1324# each iteration with marginal performance loss. But then, as 1325# we do it in each iteration, we can correct less digits, and 1326# avoid performance penalties completely. 1327 1328$TEMP0 = $ACC9; 1329$TEMP3 = $Bi; 1330$TEMP4 = $Yi; 1331$code.=<<___; 1332 vpaddq (%rsp), $TEMP1, $ACC0 1333 1334 vpsrlq \$29, $ACC0, $TEMP1 1335 vpand $AND_MASK, $ACC0, $ACC0 1336 vpsrlq \$29, $ACC1, $TEMP2 1337 vpand $AND_MASK, $ACC1, $ACC1 1338 vpsrlq \$29, $ACC2, $TEMP3 1339 vpermq \$0x93, $TEMP1, $TEMP1 1340 vpand $AND_MASK, $ACC2, $ACC2 1341 vpsrlq \$29, $ACC3, $TEMP4 1342 vpermq \$0x93, $TEMP2, $TEMP2 1343 vpand $AND_MASK, $ACC3, $ACC3 1344 1345 vpblendd \$3, $ZERO, $TEMP1, $TEMP0 1346 vpermq \$0x93, $TEMP3, $TEMP3 1347 vpblendd \$3, $TEMP1, $TEMP2, $TEMP1 1348 vpermq \$0x93, $TEMP4, $TEMP4 1349 vpaddq $TEMP0, $ACC0, $ACC0 1350 vpblendd \$3, $TEMP2, $TEMP3, $TEMP2 1351 vpaddq $TEMP1, $ACC1, $ACC1 1352 vpblendd \$3, $TEMP3, $TEMP4, $TEMP3 1353 vpaddq $TEMP2, $ACC2, $ACC2 1354 vpblendd \$3, $TEMP4, $ZERO, $TEMP4 1355 vpaddq $TEMP3, $ACC3, $ACC3 1356 vpaddq $TEMP4, $ACC4, $ACC4 1357 1358 vpsrlq \$29, $ACC0, $TEMP1 1359 vpand $AND_MASK, $ACC0, $ACC0 1360 vpsrlq \$29, $ACC1, $TEMP2 1361 vpand $AND_MASK, $ACC1, $ACC1 1362 vpsrlq \$29, $ACC2, $TEMP3 1363 vpermq \$0x93, $TEMP1, $TEMP1 1364 vpand $AND_MASK, $ACC2, $ACC2 1365 vpsrlq \$29, $ACC3, $TEMP4 1366 vpermq \$0x93, $TEMP2, $TEMP2 1367 vpand $AND_MASK, $ACC3, $ACC3 1368 vpermq \$0x93, $TEMP3, $TEMP3 1369 1370 vpblendd \$3, $ZERO, $TEMP1, $TEMP0 1371 vpermq \$0x93, $TEMP4, $TEMP4 1372 vpblendd \$3, $TEMP1, $TEMP2, $TEMP1 1373 vpaddq $TEMP0, $ACC0, $ACC0 1374 vpblendd \$3, $TEMP2, $TEMP3, $TEMP2 1375 vpaddq $TEMP1, $ACC1, $ACC1 1376 vpblendd \$3, $TEMP3, $TEMP4, $TEMP3 1377 vpaddq $TEMP2, $ACC2, $ACC2 1378 vpblendd \$3, $TEMP4, $ZERO, $TEMP4 1379 vpaddq $TEMP3, $ACC3, $ACC3 1380 vpaddq $TEMP4, $ACC4, $ACC4 1381 1382 vmovdqu $ACC0, 0-128($rp) 1383 vmovdqu $ACC1, 32-128($rp) 1384 vmovdqu $ACC2, 64-128($rp) 1385 vmovdqu $ACC3, 96-128($rp) 1386___ 1387 1388$TEMP5=$ACC0; 1389$code.=<<___; 1390 vpsrlq \$29, $ACC4, $TEMP1 1391 vpand $AND_MASK, $ACC4, $ACC4 1392 vpsrlq \$29, $ACC5, $TEMP2 1393 vpand $AND_MASK, $ACC5, $ACC5 1394 vpsrlq \$29, $ACC6, $TEMP3 1395 vpermq \$0x93, $TEMP1, $TEMP1 1396 vpand $AND_MASK, $ACC6, $ACC6 1397 vpsrlq \$29, $ACC7, $TEMP4 1398 vpermq \$0x93, $TEMP2, $TEMP2 1399 vpand $AND_MASK, $ACC7, $ACC7 1400 vpsrlq \$29, $ACC8, $TEMP5 1401 vpermq \$0x93, $TEMP3, $TEMP3 1402 vpand $AND_MASK, $ACC8, $ACC8 1403 vpermq \$0x93, $TEMP4, $TEMP4 1404 1405 vpblendd \$3, $ZERO, $TEMP1, $TEMP0 1406 vpermq \$0x93, $TEMP5, $TEMP5 1407 vpblendd \$3, $TEMP1, $TEMP2, $TEMP1 1408 vpaddq $TEMP0, $ACC4, $ACC4 1409 vpblendd \$3, $TEMP2, $TEMP3, $TEMP2 1410 vpaddq $TEMP1, $ACC5, $ACC5 1411 vpblendd \$3, $TEMP3, $TEMP4, $TEMP3 1412 vpaddq $TEMP2, $ACC6, $ACC6 1413 vpblendd \$3, $TEMP4, $TEMP5, $TEMP4 1414 vpaddq $TEMP3, $ACC7, $ACC7 1415 vpaddq $TEMP4, $ACC8, $ACC8 1416 1417 vpsrlq \$29, $ACC4, $TEMP1 1418 vpand $AND_MASK, $ACC4, $ACC4 1419 vpsrlq \$29, $ACC5, $TEMP2 1420 vpand $AND_MASK, $ACC5, $ACC5 1421 vpsrlq \$29, $ACC6, $TEMP3 1422 vpermq \$0x93, $TEMP1, $TEMP1 1423 vpand $AND_MASK, $ACC6, $ACC6 1424 vpsrlq \$29, $ACC7, $TEMP4 1425 vpermq \$0x93, $TEMP2, $TEMP2 1426 vpand $AND_MASK, $ACC7, $ACC7 1427 vpsrlq \$29, $ACC8, $TEMP5 1428 vpermq \$0x93, $TEMP3, $TEMP3 1429 vpand $AND_MASK, $ACC8, $ACC8 1430 vpermq \$0x93, $TEMP4, $TEMP4 1431 1432 vpblendd \$3, $ZERO, $TEMP1, $TEMP0 1433 vpermq \$0x93, $TEMP5, $TEMP5 1434 vpblendd \$3, $TEMP1, $TEMP2, $TEMP1 1435 vpaddq $TEMP0, $ACC4, $ACC4 1436 vpblendd \$3, $TEMP2, $TEMP3, $TEMP2 1437 vpaddq $TEMP1, $ACC5, $ACC5 1438 vpblendd \$3, $TEMP3, $TEMP4, $TEMP3 1439 vpaddq $TEMP2, $ACC6, $ACC6 1440 vpblendd \$3, $TEMP4, $TEMP5, $TEMP4 1441 vpaddq $TEMP3, $ACC7, $ACC7 1442 vpaddq $TEMP4, $ACC8, $ACC8 1443 1444 vmovdqu $ACC4, 128-128($rp) 1445 vmovdqu $ACC5, 160-128($rp) 1446 vmovdqu $ACC6, 192-128($rp) 1447 vmovdqu $ACC7, 224-128($rp) 1448 vmovdqu $ACC8, 256-128($rp) 1449 vzeroupper 1450 1451 mov %rbp, %rax 1452.cfi_def_cfa_register %rax 1453___ 1454$code.=<<___ if ($win64); 1455.Lmul_1024_in_tail: 1456 movaps -0xd8(%rax),%xmm6 1457 movaps -0xc8(%rax),%xmm7 1458 movaps -0xb8(%rax),%xmm8 1459 movaps -0xa8(%rax),%xmm9 1460 movaps -0x98(%rax),%xmm10 1461 movaps -0x88(%rax),%xmm11 1462 movaps -0x78(%rax),%xmm12 1463 movaps -0x68(%rax),%xmm13 1464 movaps -0x58(%rax),%xmm14 1465 movaps -0x48(%rax),%xmm15 1466___ 1467$code.=<<___; 1468 mov -48(%rax),%r15 1469.cfi_restore %r15 1470 mov -40(%rax),%r14 1471.cfi_restore %r14 1472 mov -32(%rax),%r13 1473.cfi_restore %r13 1474 mov -24(%rax),%r12 1475.cfi_restore %r12 1476 mov -16(%rax),%rbp 1477.cfi_restore %rbp 1478 mov -8(%rax),%rbx 1479.cfi_restore %rbx 1480 lea (%rax),%rsp # restore %rsp 1481.cfi_def_cfa_register %rsp 1482.Lmul_1024_epilogue: 1483 ret 1484.cfi_endproc 1485.size rsaz_1024_mul_avx2,.-rsaz_1024_mul_avx2 1486___ 1487} 1488{ 1489my ($out,$inp) = $win64 ? ("%rcx","%rdx") : ("%rdi","%rsi"); 1490my @T = map("%r$_",(8..11)); 1491 1492$code.=<<___; 1493.globl rsaz_1024_red2norm_avx2 1494.type rsaz_1024_red2norm_avx2,\@abi-omnipotent 1495.align 32 1496rsaz_1024_red2norm_avx2: 1497.cfi_startproc 1498 sub \$-128,$inp # size optimization 1499 xor %rax,%rax 1500___ 1501 1502for ($j=0,$i=0; $i<16; $i++) { 1503 my $k=0; 1504 while (29*$j<64*($i+1)) { # load data till boundary 1505 $code.=" mov `8*$j-128`($inp), @T[0]\n"; 1506 $j++; $k++; push(@T,shift(@T)); 1507 } 1508 $l=$k; 1509 while ($k>1) { # shift loaded data but last value 1510 $code.=" shl \$`29*($j-$k)`,@T[-$k]\n"; 1511 $k--; 1512 } 1513 $code.=<<___; # shift last value 1514 mov @T[-1], @T[0] 1515 shl \$`29*($j-1)`, @T[-1] 1516 shr \$`-29*($j-1)`, @T[0] 1517___ 1518 while ($l) { # accumulate all values 1519 $code.=" add @T[-$l], %rax\n"; 1520 $l--; 1521 } 1522 $code.=<<___; 1523 adc \$0, @T[0] # consume eventual carry 1524 mov %rax, 8*$i($out) 1525 mov @T[0], %rax 1526___ 1527 push(@T,shift(@T)); 1528} 1529$code.=<<___; 1530 ret 1531.cfi_endproc 1532.size rsaz_1024_red2norm_avx2,.-rsaz_1024_red2norm_avx2 1533 1534.globl rsaz_1024_norm2red_avx2 1535.type rsaz_1024_norm2red_avx2,\@abi-omnipotent 1536.align 32 1537rsaz_1024_norm2red_avx2: 1538.cfi_startproc 1539 sub \$-128,$out # size optimization 1540 mov ($inp),@T[0] 1541 mov \$0x1fffffff,%eax 1542___ 1543for ($j=0,$i=0; $i<16; $i++) { 1544 $code.=" mov `8*($i+1)`($inp),@T[1]\n" if ($i<15); 1545 $code.=" xor @T[1],@T[1]\n" if ($i==15); 1546 my $k=1; 1547 while (29*($j+1)<64*($i+1)) { 1548 $code.=<<___; 1549 mov @T[0],@T[-$k] 1550 shr \$`29*$j`,@T[-$k] 1551 and %rax,@T[-$k] # &0x1fffffff 1552 mov @T[-$k],`8*$j-128`($out) 1553___ 1554 $j++; $k++; 1555 } 1556 $code.=<<___; 1557 shrd \$`29*$j`,@T[1],@T[0] 1558 and %rax,@T[0] 1559 mov @T[0],`8*$j-128`($out) 1560___ 1561 $j++; 1562 push(@T,shift(@T)); 1563} 1564$code.=<<___; 1565 mov @T[0],`8*$j-128`($out) # zero 1566 mov @T[0],`8*($j+1)-128`($out) 1567 mov @T[0],`8*($j+2)-128`($out) 1568 mov @T[0],`8*($j+3)-128`($out) 1569 ret 1570.cfi_endproc 1571.size rsaz_1024_norm2red_avx2,.-rsaz_1024_norm2red_avx2 1572___ 1573} 1574{ 1575my ($out,$inp,$power) = $win64 ? ("%rcx","%rdx","%r8d") : ("%rdi","%rsi","%edx"); 1576 1577$code.=<<___; 1578.globl rsaz_1024_scatter5_avx2 1579.type rsaz_1024_scatter5_avx2,\@abi-omnipotent 1580.align 32 1581rsaz_1024_scatter5_avx2: 1582.cfi_startproc 1583 vzeroupper 1584 vmovdqu .Lscatter_permd(%rip),%ymm5 1585 shl \$4,$power 1586 lea ($out,$power),$out 1587 mov \$9,%eax 1588 jmp .Loop_scatter_1024 1589 1590.align 32 1591.Loop_scatter_1024: 1592 vmovdqu ($inp),%ymm0 1593 lea 32($inp),$inp 1594 vpermd %ymm0,%ymm5,%ymm0 1595 vmovdqu %xmm0,($out) 1596 lea 16*32($out),$out 1597 dec %eax 1598 jnz .Loop_scatter_1024 1599 1600 vzeroupper 1601 ret 1602.cfi_endproc 1603.size rsaz_1024_scatter5_avx2,.-rsaz_1024_scatter5_avx2 1604 1605.globl rsaz_1024_gather5_avx2 1606.type rsaz_1024_gather5_avx2,\@abi-omnipotent 1607.align 32 1608rsaz_1024_gather5_avx2: 1609.cfi_startproc 1610 vzeroupper 1611 mov %rsp,%r11 1612.cfi_def_cfa_register %r11 1613___ 1614$code.=<<___ if ($win64); 1615 lea -0x88(%rsp),%rax 1616.LSEH_begin_rsaz_1024_gather5: 1617 # I can't trust assembler to use specific encoding:-( 1618 .byte 0x48,0x8d,0x60,0xe0 # lea -0x20(%rax),%rsp 1619 .byte 0xc5,0xf8,0x29,0x70,0xe0 # vmovaps %xmm6,-0x20(%rax) 1620 .byte 0xc5,0xf8,0x29,0x78,0xf0 # vmovaps %xmm7,-0x10(%rax) 1621 .byte 0xc5,0x78,0x29,0x40,0x00 # vmovaps %xmm8,0(%rax) 1622 .byte 0xc5,0x78,0x29,0x48,0x10 # vmovaps %xmm9,0x10(%rax) 1623 .byte 0xc5,0x78,0x29,0x50,0x20 # vmovaps %xmm10,0x20(%rax) 1624 .byte 0xc5,0x78,0x29,0x58,0x30 # vmovaps %xmm11,0x30(%rax) 1625 .byte 0xc5,0x78,0x29,0x60,0x40 # vmovaps %xmm12,0x40(%rax) 1626 .byte 0xc5,0x78,0x29,0x68,0x50 # vmovaps %xmm13,0x50(%rax) 1627 .byte 0xc5,0x78,0x29,0x70,0x60 # vmovaps %xmm14,0x60(%rax) 1628 .byte 0xc5,0x78,0x29,0x78,0x70 # vmovaps %xmm15,0x70(%rax) 1629___ 1630$code.=<<___; 1631 lea -0x100(%rsp),%rsp 1632 and \$-32, %rsp 1633 lea .Linc(%rip), %r10 1634 lea -128(%rsp),%rax # control u-op density 1635 1636 vmovd $power, %xmm4 1637 vmovdqa (%r10),%ymm0 1638 vmovdqa 32(%r10),%ymm1 1639 vmovdqa 64(%r10),%ymm5 1640 vpbroadcastd %xmm4,%ymm4 1641 1642 vpaddd %ymm5, %ymm0, %ymm2 1643 vpcmpeqd %ymm4, %ymm0, %ymm0 1644 vpaddd %ymm5, %ymm1, %ymm3 1645 vpcmpeqd %ymm4, %ymm1, %ymm1 1646 vmovdqa %ymm0, 32*0+128(%rax) 1647 vpaddd %ymm5, %ymm2, %ymm0 1648 vpcmpeqd %ymm4, %ymm2, %ymm2 1649 vmovdqa %ymm1, 32*1+128(%rax) 1650 vpaddd %ymm5, %ymm3, %ymm1 1651 vpcmpeqd %ymm4, %ymm3, %ymm3 1652 vmovdqa %ymm2, 32*2+128(%rax) 1653 vpaddd %ymm5, %ymm0, %ymm2 1654 vpcmpeqd %ymm4, %ymm0, %ymm0 1655 vmovdqa %ymm3, 32*3+128(%rax) 1656 vpaddd %ymm5, %ymm1, %ymm3 1657 vpcmpeqd %ymm4, %ymm1, %ymm1 1658 vmovdqa %ymm0, 32*4+128(%rax) 1659 vpaddd %ymm5, %ymm2, %ymm8 1660 vpcmpeqd %ymm4, %ymm2, %ymm2 1661 vmovdqa %ymm1, 32*5+128(%rax) 1662 vpaddd %ymm5, %ymm3, %ymm9 1663 vpcmpeqd %ymm4, %ymm3, %ymm3 1664 vmovdqa %ymm2, 32*6+128(%rax) 1665 vpaddd %ymm5, %ymm8, %ymm10 1666 vpcmpeqd %ymm4, %ymm8, %ymm8 1667 vmovdqa %ymm3, 32*7+128(%rax) 1668 vpaddd %ymm5, %ymm9, %ymm11 1669 vpcmpeqd %ymm4, %ymm9, %ymm9 1670 vpaddd %ymm5, %ymm10, %ymm12 1671 vpcmpeqd %ymm4, %ymm10, %ymm10 1672 vpaddd %ymm5, %ymm11, %ymm13 1673 vpcmpeqd %ymm4, %ymm11, %ymm11 1674 vpaddd %ymm5, %ymm12, %ymm14 1675 vpcmpeqd %ymm4, %ymm12, %ymm12 1676 vpaddd %ymm5, %ymm13, %ymm15 1677 vpcmpeqd %ymm4, %ymm13, %ymm13 1678 vpcmpeqd %ymm4, %ymm14, %ymm14 1679 vpcmpeqd %ymm4, %ymm15, %ymm15 1680 1681 vmovdqa -32(%r10),%ymm7 # .Lgather_permd 1682 lea 128($inp), $inp 1683 mov \$9,$power 1684 1685.Loop_gather_1024: 1686 vmovdqa 32*0-128($inp), %ymm0 1687 vmovdqa 32*1-128($inp), %ymm1 1688 vmovdqa 32*2-128($inp), %ymm2 1689 vmovdqa 32*3-128($inp), %ymm3 1690 vpand 32*0+128(%rax), %ymm0, %ymm0 1691 vpand 32*1+128(%rax), %ymm1, %ymm1 1692 vpand 32*2+128(%rax), %ymm2, %ymm2 1693 vpor %ymm0, %ymm1, %ymm4 1694 vpand 32*3+128(%rax), %ymm3, %ymm3 1695 vmovdqa 32*4-128($inp), %ymm0 1696 vmovdqa 32*5-128($inp), %ymm1 1697 vpor %ymm2, %ymm3, %ymm5 1698 vmovdqa 32*6-128($inp), %ymm2 1699 vmovdqa 32*7-128($inp), %ymm3 1700 vpand 32*4+128(%rax), %ymm0, %ymm0 1701 vpand 32*5+128(%rax), %ymm1, %ymm1 1702 vpand 32*6+128(%rax), %ymm2, %ymm2 1703 vpor %ymm0, %ymm4, %ymm4 1704 vpand 32*7+128(%rax), %ymm3, %ymm3 1705 vpand 32*8-128($inp), %ymm8, %ymm0 1706 vpor %ymm1, %ymm5, %ymm5 1707 vpand 32*9-128($inp), %ymm9, %ymm1 1708 vpor %ymm2, %ymm4, %ymm4 1709 vpand 32*10-128($inp),%ymm10, %ymm2 1710 vpor %ymm3, %ymm5, %ymm5 1711 vpand 32*11-128($inp),%ymm11, %ymm3 1712 vpor %ymm0, %ymm4, %ymm4 1713 vpand 32*12-128($inp),%ymm12, %ymm0 1714 vpor %ymm1, %ymm5, %ymm5 1715 vpand 32*13-128($inp),%ymm13, %ymm1 1716 vpor %ymm2, %ymm4, %ymm4 1717 vpand 32*14-128($inp),%ymm14, %ymm2 1718 vpor %ymm3, %ymm5, %ymm5 1719 vpand 32*15-128($inp),%ymm15, %ymm3 1720 lea 32*16($inp), $inp 1721 vpor %ymm0, %ymm4, %ymm4 1722 vpor %ymm1, %ymm5, %ymm5 1723 vpor %ymm2, %ymm4, %ymm4 1724 vpor %ymm3, %ymm5, %ymm5 1725 1726 vpor %ymm5, %ymm4, %ymm4 1727 vextracti128 \$1, %ymm4, %xmm5 # upper half is cleared 1728 vpor %xmm4, %xmm5, %xmm5 1729 vpermd %ymm5,%ymm7,%ymm5 1730 vmovdqu %ymm5,($out) 1731 lea 32($out),$out 1732 dec $power 1733 jnz .Loop_gather_1024 1734 1735 vpxor %ymm0,%ymm0,%ymm0 1736 vmovdqu %ymm0,($out) 1737 vzeroupper 1738___ 1739$code.=<<___ if ($win64); 1740 movaps -0xa8(%r11),%xmm6 1741 movaps -0x98(%r11),%xmm7 1742 movaps -0x88(%r11),%xmm8 1743 movaps -0x78(%r11),%xmm9 1744 movaps -0x68(%r11),%xmm10 1745 movaps -0x58(%r11),%xmm11 1746 movaps -0x48(%r11),%xmm12 1747 movaps -0x38(%r11),%xmm13 1748 movaps -0x28(%r11),%xmm14 1749 movaps -0x18(%r11),%xmm15 1750___ 1751$code.=<<___; 1752 lea (%r11),%rsp 1753.cfi_def_cfa_register %rsp 1754 ret 1755.cfi_endproc 1756.LSEH_end_rsaz_1024_gather5: 1757.size rsaz_1024_gather5_avx2,.-rsaz_1024_gather5_avx2 1758___ 1759} 1760 1761$code.=<<___; 1762.extern OPENSSL_ia32cap_P 1763.globl rsaz_avx2_eligible 1764.type rsaz_avx2_eligible,\@abi-omnipotent 1765.align 32 1766rsaz_avx2_eligible: 1767 mov OPENSSL_ia32cap_P+8(%rip),%eax 1768___ 1769$code.=<<___ if ($addx); 1770 mov \$`1<<8|1<<19`,%ecx 1771 mov \$0,%edx 1772 and %eax,%ecx 1773 cmp \$`1<<8|1<<19`,%ecx # check for BMI2+AD*X 1774 cmove %edx,%eax 1775___ 1776$code.=<<___; 1777 and \$`1<<5`,%eax 1778 shr \$5,%eax 1779 ret 1780.size rsaz_avx2_eligible,.-rsaz_avx2_eligible 1781 1782.align 64 1783.Land_mask: 1784 .quad 0x1fffffff,0x1fffffff,0x1fffffff,0x1fffffff 1785.Lscatter_permd: 1786 .long 0,2,4,6,7,7,7,7 1787.Lgather_permd: 1788 .long 0,7,1,7,2,7,3,7 1789.Linc: 1790 .long 0,0,0,0, 1,1,1,1 1791 .long 2,2,2,2, 3,3,3,3 1792 .long 4,4,4,4, 4,4,4,4 1793.align 64 1794___ 1795 1796if ($win64) { 1797$rec="%rcx"; 1798$frame="%rdx"; 1799$context="%r8"; 1800$disp="%r9"; 1801 1802$code.=<<___ 1803.extern __imp_RtlVirtualUnwind 1804.type rsaz_se_handler,\@abi-omnipotent 1805.align 16 1806rsaz_se_handler: 1807 push %rsi 1808 push %rdi 1809 push %rbx 1810 push %rbp 1811 push %r12 1812 push %r13 1813 push %r14 1814 push %r15 1815 pushfq 1816 sub \$64,%rsp 1817 1818 mov 120($context),%rax # pull context->Rax 1819 mov 248($context),%rbx # pull context->Rip 1820 1821 mov 8($disp),%rsi # disp->ImageBase 1822 mov 56($disp),%r11 # disp->HandlerData 1823 1824 mov 0(%r11),%r10d # HandlerData[0] 1825 lea (%rsi,%r10),%r10 # prologue label 1826 cmp %r10,%rbx # context->Rip<prologue label 1827 jb .Lcommon_seh_tail 1828 1829 mov 4(%r11),%r10d # HandlerData[1] 1830 lea (%rsi,%r10),%r10 # epilogue label 1831 cmp %r10,%rbx # context->Rip>=epilogue label 1832 jae .Lcommon_seh_tail 1833 1834 mov 160($context),%rbp # pull context->Rbp 1835 1836 mov 8(%r11),%r10d # HandlerData[2] 1837 lea (%rsi,%r10),%r10 # "in tail" label 1838 cmp %r10,%rbx # context->Rip>="in tail" label 1839 cmovc %rbp,%rax 1840 1841 mov -48(%rax),%r15 1842 mov -40(%rax),%r14 1843 mov -32(%rax),%r13 1844 mov -24(%rax),%r12 1845 mov -16(%rax),%rbp 1846 mov -8(%rax),%rbx 1847 mov %r15,240($context) 1848 mov %r14,232($context) 1849 mov %r13,224($context) 1850 mov %r12,216($context) 1851 mov %rbp,160($context) 1852 mov %rbx,144($context) 1853 1854 lea -0xd8(%rax),%rsi # %xmm save area 1855 lea 512($context),%rdi # & context.Xmm6 1856 mov \$20,%ecx # 10*sizeof(%xmm0)/sizeof(%rax) 1857 .long 0xa548f3fc # cld; rep movsq 1858 1859.Lcommon_seh_tail: 1860 mov 8(%rax),%rdi 1861 mov 16(%rax),%rsi 1862 mov %rax,152($context) # restore context->Rsp 1863 mov %rsi,168($context) # restore context->Rsi 1864 mov %rdi,176($context) # restore context->Rdi 1865 1866 mov 40($disp),%rdi # disp->ContextRecord 1867 mov $context,%rsi # context 1868 mov \$154,%ecx # sizeof(CONTEXT) 1869 .long 0xa548f3fc # cld; rep movsq 1870 1871 mov $disp,%rsi 1872 xor %rcx,%rcx # arg1, UNW_FLAG_NHANDLER 1873 mov 8(%rsi),%rdx # arg2, disp->ImageBase 1874 mov 0(%rsi),%r8 # arg3, disp->ControlPc 1875 mov 16(%rsi),%r9 # arg4, disp->FunctionEntry 1876 mov 40(%rsi),%r10 # disp->ContextRecord 1877 lea 56(%rsi),%r11 # &disp->HandlerData 1878 lea 24(%rsi),%r12 # &disp->EstablisherFrame 1879 mov %r10,32(%rsp) # arg5 1880 mov %r11,40(%rsp) # arg6 1881 mov %r12,48(%rsp) # arg7 1882 mov %rcx,56(%rsp) # arg8, (NULL) 1883 call *__imp_RtlVirtualUnwind(%rip) 1884 1885 mov \$1,%eax # ExceptionContinueSearch 1886 add \$64,%rsp 1887 popfq 1888 pop %r15 1889 pop %r14 1890 pop %r13 1891 pop %r12 1892 pop %rbp 1893 pop %rbx 1894 pop %rdi 1895 pop %rsi 1896 ret 1897.size rsaz_se_handler,.-rsaz_se_handler 1898 1899.section .pdata 1900.align 4 1901 .rva .LSEH_begin_rsaz_1024_sqr_avx2 1902 .rva .LSEH_end_rsaz_1024_sqr_avx2 1903 .rva .LSEH_info_rsaz_1024_sqr_avx2 1904 1905 .rva .LSEH_begin_rsaz_1024_mul_avx2 1906 .rva .LSEH_end_rsaz_1024_mul_avx2 1907 .rva .LSEH_info_rsaz_1024_mul_avx2 1908 1909 .rva .LSEH_begin_rsaz_1024_gather5 1910 .rva .LSEH_end_rsaz_1024_gather5 1911 .rva .LSEH_info_rsaz_1024_gather5 1912.section .xdata 1913.align 8 1914.LSEH_info_rsaz_1024_sqr_avx2: 1915 .byte 9,0,0,0 1916 .rva rsaz_se_handler 1917 .rva .Lsqr_1024_body,.Lsqr_1024_epilogue,.Lsqr_1024_in_tail 1918 .long 0 1919.LSEH_info_rsaz_1024_mul_avx2: 1920 .byte 9,0,0,0 1921 .rva rsaz_se_handler 1922 .rva .Lmul_1024_body,.Lmul_1024_epilogue,.Lmul_1024_in_tail 1923 .long 0 1924.LSEH_info_rsaz_1024_gather5: 1925 .byte 0x01,0x36,0x17,0x0b 1926 .byte 0x36,0xf8,0x09,0x00 # vmovaps 0x90(rsp),xmm15 1927 .byte 0x31,0xe8,0x08,0x00 # vmovaps 0x80(rsp),xmm14 1928 .byte 0x2c,0xd8,0x07,0x00 # vmovaps 0x70(rsp),xmm13 1929 .byte 0x27,0xc8,0x06,0x00 # vmovaps 0x60(rsp),xmm12 1930 .byte 0x22,0xb8,0x05,0x00 # vmovaps 0x50(rsp),xmm11 1931 .byte 0x1d,0xa8,0x04,0x00 # vmovaps 0x40(rsp),xmm10 1932 .byte 0x18,0x98,0x03,0x00 # vmovaps 0x30(rsp),xmm9 1933 .byte 0x13,0x88,0x02,0x00 # vmovaps 0x20(rsp),xmm8 1934 .byte 0x0e,0x78,0x01,0x00 # vmovaps 0x10(rsp),xmm7 1935 .byte 0x09,0x68,0x00,0x00 # vmovaps 0x00(rsp),xmm6 1936 .byte 0x04,0x01,0x15,0x00 # sub rsp,0xa8 1937 .byte 0x00,0xb3,0x00,0x00 # set_frame r11 1938___ 1939} 1940 1941foreach (split("\n",$code)) { 1942 s/\`([^\`]*)\`/eval($1)/ge; 1943 1944 s/\b(sh[rl]d?\s+\$)(-?[0-9]+)/$1.$2%64/ge or 1945 1946 s/\b(vmov[dq])\b(.+)%ymm([0-9]+)/$1$2%xmm$3/go or 1947 s/\b(vmovdqu)\b(.+)%x%ymm([0-9]+)/$1$2%xmm$3/go or 1948 s/\b(vpinsr[qd])\b(.+)%ymm([0-9]+)/$1$2%xmm$3/go or 1949 s/\b(vpextr[qd])\b(.+)%ymm([0-9]+)/$1$2%xmm$3/go or 1950 s/\b(vpbroadcast[qd]\s+)%ymm([0-9]+)/$1%xmm$2/go; 1951 print $_,"\n"; 1952} 1953 1954}}} else {{{ 1955print <<___; # assembler is too old 1956.text 1957 1958.globl rsaz_avx2_eligible 1959.type rsaz_avx2_eligible,\@abi-omnipotent 1960rsaz_avx2_eligible: 1961 xor %eax,%eax 1962 ret 1963.size rsaz_avx2_eligible,.-rsaz_avx2_eligible 1964 1965.globl rsaz_1024_sqr_avx2 1966.globl rsaz_1024_mul_avx2 1967.globl rsaz_1024_norm2red_avx2 1968.globl rsaz_1024_red2norm_avx2 1969.globl rsaz_1024_scatter5_avx2 1970.globl rsaz_1024_gather5_avx2 1971.type rsaz_1024_sqr_avx2,\@abi-omnipotent 1972rsaz_1024_sqr_avx2: 1973rsaz_1024_mul_avx2: 1974rsaz_1024_norm2red_avx2: 1975rsaz_1024_red2norm_avx2: 1976rsaz_1024_scatter5_avx2: 1977rsaz_1024_gather5_avx2: 1978 .byte 0x0f,0x0b # ud2 1979 ret 1980.size rsaz_1024_sqr_avx2,.-rsaz_1024_sqr_avx2 1981___ 1982}}} 1983 1984close STDOUT or die "error closing STDOUT: $!"; 1985