| 1 | // |
| 2 | // Accelerated CRC-T10DIF using ARM NEON and Crypto Extensions instructions |
| 3 | // |
| 4 | // Copyright (C) 2016 Linaro Ltd <ard.biesheuvel@linaro.org> |
| 5 | // Copyright (C) 2019 Google LLC <ebiggers@google.com> |
| 6 | // |
| 7 | // This program is free software; you can redistribute it and/or modify |
| 8 | // it under the terms of the GNU General Public License version 2 as |
| 9 | // published by the Free Software Foundation. |
| 10 | // |
| 11 | |
| 12 | // Derived from the x86 version: |
| 13 | // |
| 14 | // Implement fast CRC-T10DIF computation with SSE and PCLMULQDQ instructions |
| 15 | // |
| 16 | // Copyright (c) 2013, Intel Corporation |
| 17 | // |
| 18 | // Authors: |
| 19 | // Erdinc Ozturk <erdinc.ozturk@intel.com> |
| 20 | // Vinodh Gopal <vinodh.gopal@intel.com> |
| 21 | // James Guilford <james.guilford@intel.com> |
| 22 | // Tim Chen <tim.c.chen@linux.intel.com> |
| 23 | // |
| 24 | // This software is available to you under a choice of one of two |
| 25 | // licenses. You may choose to be licensed under the terms of the GNU |
| 26 | // General Public License (GPL) Version 2, available from the file |
| 27 | // COPYING in the main directory of this source tree, or the |
| 28 | // OpenIB.org BSD license below: |
| 29 | // |
| 30 | // Redistribution and use in source and binary forms, with or without |
| 31 | // modification, are permitted provided that the following conditions are |
| 32 | // met: |
| 33 | // |
| 34 | // * Redistributions of source code must retain the above copyright |
| 35 | // notice, this list of conditions and the following disclaimer. |
| 36 | // |
| 37 | // * Redistributions in binary form must reproduce the above copyright |
| 38 | // notice, this list of conditions and the following disclaimer in the |
| 39 | // documentation and/or other materials provided with the |
| 40 | // distribution. |
| 41 | // |
| 42 | // * Neither the name of the Intel Corporation nor the names of its |
| 43 | // contributors may be used to endorse or promote products derived from |
| 44 | // this software without specific prior written permission. |
| 45 | // |
| 46 | // |
| 47 | // THIS SOFTWARE IS PROVIDED BY INTEL CORPORATION ""AS IS"" AND ANY |
| 48 | // EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE |
| 49 | // IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR |
| 50 | // PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL CORPORATION OR |
| 51 | // CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, |
| 52 | // EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, |
| 53 | // PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR |
| 54 | // PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF |
| 55 | // LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING |
| 56 | // NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS |
| 57 | // SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. |
| 58 | // |
| 59 | // Reference paper titled "Fast CRC Computation for Generic |
| 60 | // Polynomials Using PCLMULQDQ Instruction" |
| 61 | // URL: http://www.intel.com/content/dam/www/public/us/en/documents |
| 62 | // /white-papers/fast-crc-computation-generic-polynomials-pclmulqdq-paper.pdf |
| 63 | // |
| 64 | |
| 65 | #include <linux/linkage.h> |
| 66 | #include <asm/assembler.h> |
| 67 | |
| 68 | #ifdef CONFIG_CPU_ENDIAN_BE8 |
| 69 | #define CPU_LE(code...) |
| 70 | #else |
| 71 | #define CPU_LE(code...) code |
| 72 | #endif |
| 73 | |
| 74 | .text |
| 75 | .arch armv8-a |
| 76 | .fpu crypto-neon-fp-armv8 |
| 77 | |
| 78 | init_crc .req r0 |
| 79 | buf .req r1 |
| 80 | len .req r2 |
| 81 | |
| 82 | fold_consts_ptr .req ip |
| 83 | |
| 84 | q0l .req d0 |
| 85 | q0h .req d1 |
| 86 | q1l .req d2 |
| 87 | q1h .req d3 |
| 88 | q2l .req d4 |
| 89 | q2h .req d5 |
| 90 | q3l .req d6 |
| 91 | q3h .req d7 |
| 92 | q4l .req d8 |
| 93 | q4h .req d9 |
| 94 | q5l .req d10 |
| 95 | q5h .req d11 |
| 96 | q6l .req d12 |
| 97 | q6h .req d13 |
| 98 | q7l .req d14 |
| 99 | q7h .req d15 |
| 100 | q8l .req d16 |
| 101 | q8h .req d17 |
| 102 | q9l .req d18 |
| 103 | q9h .req d19 |
| 104 | q10l .req d20 |
| 105 | q10h .req d21 |
| 106 | q11l .req d22 |
| 107 | q11h .req d23 |
| 108 | q12l .req d24 |
| 109 | q12h .req d25 |
| 110 | |
| 111 | FOLD_CONSTS .req q10 |
| 112 | FOLD_CONST_L .req q10l |
| 113 | FOLD_CONST_H .req q10h |
| 114 | |
| 115 | /* |
| 116 | * Pairwise long polynomial multiplication of two 16-bit values |
| 117 | * |
| 118 | * { w0, w1 }, { y0, y1 } |
| 119 | * |
| 120 | * by two 64-bit values |
| 121 | * |
| 122 | * { x0, x1, x2, x3, x4, x5, x6, x7 }, { z0, z1, z2, z3, z4, z5, z6, z7 } |
| 123 | * |
| 124 | * where each vector element is a byte, ordered from least to most |
| 125 | * significant. The resulting 80-bit vectors are XOR'ed together. |
| 126 | * |
| 127 | * This can be implemented using 8x8 long polynomial multiplication, by |
| 128 | * reorganizing the input so that each pairwise 8x8 multiplication |
| 129 | * produces one of the terms from the decomposition below, and |
| 130 | * combining the results of each rank and shifting them into place. |
| 131 | * |
| 132 | * Rank |
| 133 | * 0 w0*x0 ^ | y0*z0 ^ |
| 134 | * 1 (w0*x1 ^ w1*x0) << 8 ^ | (y0*z1 ^ y1*z0) << 8 ^ |
| 135 | * 2 (w0*x2 ^ w1*x1) << 16 ^ | (y0*z2 ^ y1*z1) << 16 ^ |
| 136 | * 3 (w0*x3 ^ w1*x2) << 24 ^ | (y0*z3 ^ y1*z2) << 24 ^ |
| 137 | * 4 (w0*x4 ^ w1*x3) << 32 ^ | (y0*z4 ^ y1*z3) << 32 ^ |
| 138 | * 5 (w0*x5 ^ w1*x4) << 40 ^ | (y0*z5 ^ y1*z4) << 40 ^ |
| 139 | * 6 (w0*x6 ^ w1*x5) << 48 ^ | (y0*z6 ^ y1*z5) << 48 ^ |
| 140 | * 7 (w0*x7 ^ w1*x6) << 56 ^ | (y0*z7 ^ y1*z6) << 56 ^ |
| 141 | * 8 w1*x7 << 64 | y1*z7 << 64 |
| 142 | * |
| 143 | * The inputs can be reorganized into |
| 144 | * |
| 145 | * { w0, w0, w0, w0, y0, y0, y0, y0 }, { w1, w1, w1, w1, y1, y1, y1, y1 } |
| 146 | * { x0, x2, x4, x6, z0, z2, z4, z6 }, { x1, x3, x5, x7, z1, z3, z5, z7 } |
| 147 | * |
| 148 | * and after performing 8x8->16 bit long polynomial multiplication of |
| 149 | * each of the halves of the first vector with those of the second one, |
| 150 | * we obtain the following four vectors of 16-bit elements: |
| 151 | * |
| 152 | * a := { w0*x0, w0*x2, w0*x4, w0*x6 }, { y0*z0, y0*z2, y0*z4, y0*z6 } |
| 153 | * b := { w0*x1, w0*x3, w0*x5, w0*x7 }, { y0*z1, y0*z3, y0*z5, y0*z7 } |
| 154 | * c := { w1*x0, w1*x2, w1*x4, w1*x6 }, { y1*z0, y1*z2, y1*z4, y1*z6 } |
| 155 | * d := { w1*x1, w1*x3, w1*x5, w1*x7 }, { y1*z1, y1*z3, y1*z5, y1*z7 } |
| 156 | * |
| 157 | * Results b and c can be XORed together, as the vector elements have |
| 158 | * matching ranks. Then, the final XOR can be pulled forward, and |
| 159 | * applied between the halves of each of the remaining three vectors, |
| 160 | * which are then shifted into place, and XORed together to produce the |
| 161 | * final 80-bit result. |
| 162 | */ |
| 163 | .macro pmull16x64_p8, v16, v64 |
| 164 | vext.8 q11, \v64, \v64, #1 |
| 165 | vld1.64 {q12}, [r4, :128] |
| 166 | vuzp.8 q11, \v64 |
| 167 | vtbl.8 d24, {\v16\()_L-\v16\()_H}, d24 |
| 168 | vtbl.8 d25, {\v16\()_L-\v16\()_H}, d25 |
| 169 | bl __pmull16x64_p8 |
| 170 | veor \v64, q12, q14 |
| 171 | .endm |
| 172 | |
| 173 | __pmull16x64_p8: |
| 174 | vmull.p8 q13, d23, d24 |
| 175 | vmull.p8 q14, d23, d25 |
| 176 | vmull.p8 q15, d22, d24 |
| 177 | vmull.p8 q12, d22, d25 |
| 178 | |
| 179 | veor q14, q14, q15 |
| 180 | veor d24, d24, d25 |
| 181 | veor d26, d26, d27 |
| 182 | veor d28, d28, d29 |
| 183 | vmov.i32 d25, #0 |
| 184 | vmov.i32 d29, #0 |
| 185 | vext.8 q12, q12, q12, #14 |
| 186 | vext.8 q14, q14, q14, #15 |
| 187 | veor d24, d24, d26 |
| 188 | bx lr |
| 189 | ENDPROC(__pmull16x64_p8) |
| 190 | |
| 191 | .macro pmull16x64_p64, v16, v64 |
| 192 | vmull.p64 q11, \v64\()l, \v16\()_L |
| 193 | vmull.p64 \v64, \v64\()h, \v16\()_H |
| 194 | veor \v64, \v64, q11 |
| 195 | .endm |
| 196 | |
| 197 | // Fold reg1, reg2 into the next 32 data bytes, storing the result back |
| 198 | // into reg1, reg2. |
| 199 | .macro fold_32_bytes, reg1, reg2, p |
| 200 | vld1.64 {q8-q9}, [buf]! |
| 201 | |
| 202 | pmull16x64_\p FOLD_CONST, \reg1 |
| 203 | pmull16x64_\p FOLD_CONST, \reg2 |
| 204 | |
| 205 | CPU_LE( vrev64.8 q8, q8 ) |
| 206 | CPU_LE( vrev64.8 q9, q9 ) |
| 207 | vswp q8l, q8h |
| 208 | vswp q9l, q9h |
| 209 | |
| 210 | veor.8 \reg1, \reg1, q8 |
| 211 | veor.8 \reg2, \reg2, q9 |
| 212 | .endm |
| 213 | |
| 214 | // Fold src_reg into dst_reg, optionally loading the next fold constants |
| 215 | .macro fold_16_bytes, src_reg, dst_reg, p, load_next_consts |
| 216 | pmull16x64_\p FOLD_CONST, \src_reg |
| 217 | .ifnb \load_next_consts |
| 218 | vld1.64 {FOLD_CONSTS}, [fold_consts_ptr, :128]! |
| 219 | .endif |
| 220 | veor.8 \dst_reg, \dst_reg, \src_reg |
| 221 | .endm |
| 222 | |
| 223 | .macro crct10dif, p |
| 224 | // For sizes less than 256 bytes, we can't fold 128 bytes at a time. |
| 225 | cmp len, #256 |
| 226 | blt .Lless_than_256_bytes\@ |
| 227 | |
| 228 | mov_l fold_consts_ptr, .Lfold_across_128_bytes_consts |
| 229 | |
| 230 | // Load the first 128 data bytes. Byte swapping is necessary to make |
| 231 | // the bit order match the polynomial coefficient order. |
| 232 | vld1.64 {q0-q1}, [buf]! |
| 233 | vld1.64 {q2-q3}, [buf]! |
| 234 | vld1.64 {q4-q5}, [buf]! |
| 235 | vld1.64 {q6-q7}, [buf]! |
| 236 | CPU_LE( vrev64.8 q0, q0 ) |
| 237 | CPU_LE( vrev64.8 q1, q1 ) |
| 238 | CPU_LE( vrev64.8 q2, q2 ) |
| 239 | CPU_LE( vrev64.8 q3, q3 ) |
| 240 | CPU_LE( vrev64.8 q4, q4 ) |
| 241 | CPU_LE( vrev64.8 q5, q5 ) |
| 242 | CPU_LE( vrev64.8 q6, q6 ) |
| 243 | CPU_LE( vrev64.8 q7, q7 ) |
| 244 | vswp q0l, q0h |
| 245 | vswp q1l, q1h |
| 246 | vswp q2l, q2h |
| 247 | vswp q3l, q3h |
| 248 | vswp q4l, q4h |
| 249 | vswp q5l, q5h |
| 250 | vswp q6l, q6h |
| 251 | vswp q7l, q7h |
| 252 | |
| 253 | // XOR the first 16 data *bits* with the initial CRC value. |
| 254 | vmov.i8 q8h, #0 |
| 255 | vmov.u16 q8h[3], init_crc |
| 256 | veor q0h, q0h, q8h |
| 257 | |
| 258 | // Load the constants for folding across 128 bytes. |
| 259 | vld1.64 {FOLD_CONSTS}, [fold_consts_ptr, :128]! |
| 260 | |
| 261 | // Subtract 128 for the 128 data bytes just consumed. Subtract another |
| 262 | // 128 to simplify the termination condition of the following loop. |
| 263 | sub len, len, #256 |
| 264 | |
| 265 | // While >= 128 data bytes remain (not counting q0-q7), fold the 128 |
| 266 | // bytes q0-q7 into them, storing the result back into q0-q7. |
| 267 | .Lfold_128_bytes_loop\@: |
| 268 | fold_32_bytes q0, q1, \p |
| 269 | fold_32_bytes q2, q3, \p |
| 270 | fold_32_bytes q4, q5, \p |
| 271 | fold_32_bytes q6, q7, \p |
| 272 | subs len, len, #128 |
| 273 | bge .Lfold_128_bytes_loop\@ |
| 274 | |
| 275 | // Now fold the 112 bytes in q0-q6 into the 16 bytes in q7. |
| 276 | |
| 277 | // Fold across 64 bytes. |
| 278 | vld1.64 {FOLD_CONSTS}, [fold_consts_ptr, :128]! |
| 279 | fold_16_bytes q0, q4, \p |
| 280 | fold_16_bytes q1, q5, \p |
| 281 | fold_16_bytes q2, q6, \p |
| 282 | fold_16_bytes q3, q7, \p, 1 |
| 283 | // Fold across 32 bytes. |
| 284 | fold_16_bytes q4, q6, \p |
| 285 | fold_16_bytes q5, q7, \p, 1 |
| 286 | // Fold across 16 bytes. |
| 287 | fold_16_bytes q6, q7, \p |
| 288 | |
| 289 | // Add 128 to get the correct number of data bytes remaining in 0...127 |
| 290 | // (not counting q7), following the previous extra subtraction by 128. |
| 291 | // Then subtract 16 to simplify the termination condition of the |
| 292 | // following loop. |
| 293 | adds len, len, #(128-16) |
| 294 | |
| 295 | // While >= 16 data bytes remain (not counting q7), fold the 16 bytes q7 |
| 296 | // into them, storing the result back into q7. |
| 297 | blt .Lfold_16_bytes_loop_done\@ |
| 298 | .Lfold_16_bytes_loop\@: |
| 299 | pmull16x64_\p FOLD_CONST, q7 |
| 300 | vld1.64 {q0}, [buf]! |
| 301 | CPU_LE( vrev64.8 q0, q0 ) |
| 302 | vswp q0l, q0h |
| 303 | veor.8 q7, q7, q0 |
| 304 | subs len, len, #16 |
| 305 | bge .Lfold_16_bytes_loop\@ |
| 306 | |
| 307 | .Lfold_16_bytes_loop_done\@: |
| 308 | // Add 16 to get the correct number of data bytes remaining in 0...15 |
| 309 | // (not counting q7), following the previous extra subtraction by 16. |
| 310 | adds len, len, #16 |
| 311 | beq .Lreduce_final_16_bytes\@ |
| 312 | |
| 313 | .Lhandle_partial_segment\@: |
| 314 | // Reduce the last '16 + len' bytes where 1 <= len <= 15 and the first |
| 315 | // 16 bytes are in q7 and the rest are the remaining data in 'buf'. To |
| 316 | // do this without needing a fold constant for each possible 'len', |
| 317 | // redivide the bytes into a first chunk of 'len' bytes and a second |
| 318 | // chunk of 16 bytes, then fold the first chunk into the second. |
| 319 | |
| 320 | // q0 = last 16 original data bytes |
| 321 | add buf, buf, len |
| 322 | sub buf, buf, #16 |
| 323 | vld1.64 {q0}, [buf] |
| 324 | CPU_LE( vrev64.8 q0, q0 ) |
| 325 | vswp q0l, q0h |
| 326 | |
| 327 | // q1 = high order part of second chunk: q7 left-shifted by 'len' bytes. |
| 328 | mov_l r1, .Lbyteshift_table + 16 |
| 329 | sub r1, r1, len |
| 330 | vld1.8 {q2}, [r1] |
| 331 | vtbl.8 q1l, {q7l-q7h}, q2l |
| 332 | vtbl.8 q1h, {q7l-q7h}, q2h |
| 333 | |
| 334 | // q3 = first chunk: q7 right-shifted by '16-len' bytes. |
| 335 | vmov.i8 q3, #0x80 |
| 336 | veor.8 q2, q2, q3 |
| 337 | vtbl.8 q3l, {q7l-q7h}, q2l |
| 338 | vtbl.8 q3h, {q7l-q7h}, q2h |
| 339 | |
| 340 | // Convert to 8-bit masks: 'len' 0x00 bytes, then '16-len' 0xff bytes. |
| 341 | vshr.s8 q2, q2, #7 |
| 342 | |
| 343 | // q2 = second chunk: 'len' bytes from q0 (low-order bytes), |
| 344 | // then '16-len' bytes from q1 (high-order bytes). |
| 345 | vbsl.8 q2, q1, q0 |
| 346 | |
| 347 | // Fold the first chunk into the second chunk, storing the result in q7. |
| 348 | pmull16x64_\p FOLD_CONST, q3 |
| 349 | veor.8 q7, q3, q2 |
| 350 | b .Lreduce_final_16_bytes\@ |
| 351 | |
| 352 | .Lless_than_256_bytes\@: |
| 353 | // Checksumming a buffer of length 16...255 bytes |
| 354 | |
| 355 | mov_l fold_consts_ptr, .Lfold_across_16_bytes_consts |
| 356 | |
| 357 | // Load the first 16 data bytes. |
| 358 | vld1.64 {q7}, [buf]! |
| 359 | CPU_LE( vrev64.8 q7, q7 ) |
| 360 | vswp q7l, q7h |
| 361 | |
| 362 | // XOR the first 16 data *bits* with the initial CRC value. |
| 363 | vmov.i8 q0h, #0 |
| 364 | vmov.u16 q0h[3], init_crc |
| 365 | veor.8 q7h, q7h, q0h |
| 366 | |
| 367 | // Load the fold-across-16-bytes constants. |
| 368 | vld1.64 {FOLD_CONSTS}, [fold_consts_ptr, :128]! |
| 369 | |
| 370 | cmp len, #16 |
| 371 | beq .Lreduce_final_16_bytes\@ // len == 16 |
| 372 | subs len, len, #32 |
| 373 | addlt len, len, #16 |
| 374 | blt .Lhandle_partial_segment\@ // 17 <= len <= 31 |
| 375 | b .Lfold_16_bytes_loop\@ // 32 <= len <= 255 |
| 376 | |
| 377 | .Lreduce_final_16_bytes\@: |
| 378 | .endm |
| 379 | |
| 380 | // |
| 381 | // u16 crc_t10dif_pmull(u16 init_crc, const u8 *buf, size_t len); |
| 382 | // |
| 383 | // Assumes len >= 16. |
| 384 | // |
| 385 | ENTRY(crc_t10dif_pmull64) |
| 386 | crct10dif p64 |
| 387 | |
| 388 | // Reduce the 128-bit value M(x), stored in q7, to the final 16-bit CRC. |
| 389 | |
| 390 | // Load 'x^48 * (x^48 mod G(x))' and 'x^48 * (x^80 mod G(x))'. |
| 391 | vld1.64 {FOLD_CONSTS}, [fold_consts_ptr, :128]! |
| 392 | |
| 393 | // Fold the high 64 bits into the low 64 bits, while also multiplying by |
| 394 | // x^64. This produces a 128-bit value congruent to x^64 * M(x) and |
| 395 | // whose low 48 bits are 0. |
| 396 | vmull.p64 q0, q7h, FOLD_CONST_H // high bits * x^48 * (x^80 mod G(x)) |
| 397 | veor.8 q0h, q0h, q7l // + low bits * x^64 |
| 398 | |
| 399 | // Fold the high 32 bits into the low 96 bits. This produces a 96-bit |
| 400 | // value congruent to x^64 * M(x) and whose low 48 bits are 0. |
| 401 | vmov.i8 q1, #0 |
| 402 | vmov s4, s3 // extract high 32 bits |
| 403 | vmov s3, s5 // zero high 32 bits |
| 404 | vmull.p64 q1, q1l, FOLD_CONST_L // high 32 bits * x^48 * (x^48 mod G(x)) |
| 405 | veor.8 q0, q0, q1 // + low bits |
| 406 | |
| 407 | // Load G(x) and floor(x^48 / G(x)). |
| 408 | vld1.64 {FOLD_CONSTS}, [fold_consts_ptr, :128] |
| 409 | |
| 410 | // Use Barrett reduction to compute the final CRC value. |
| 411 | vmull.p64 q1, q0h, FOLD_CONST_H // high 32 bits * floor(x^48 / G(x)) |
| 412 | vshr.u64 q1l, q1l, #32 // /= x^32 |
| 413 | vmull.p64 q1, q1l, FOLD_CONST_L // *= G(x) |
| 414 | vshr.u64 q0l, q0l, #48 |
| 415 | veor.8 q0l, q0l, q1l // + low 16 nonzero bits |
| 416 | // Final CRC value (x^16 * M(x)) mod G(x) is in low 16 bits of q0. |
| 417 | |
| 418 | vmov.u16 r0, q0l[0] |
| 419 | bx lr |
| 420 | ENDPROC(crc_t10dif_pmull64) |
| 421 | |
| 422 | ENTRY(crc_t10dif_pmull8) |
| 423 | push {r4, lr} |
| 424 | mov_l r4, .L16x64perm |
| 425 | |
| 426 | crct10dif p8 |
| 427 | |
| 428 | CPU_LE( vrev64.8 q7, q7 ) |
| 429 | vswp q7l, q7h |
| 430 | vst1.64 {q7}, [r3, :128] |
| 431 | pop {r4, pc} |
| 432 | ENDPROC(crc_t10dif_pmull8) |
| 433 | |
| 434 | .section ".rodata" , "a" |
| 435 | .align 4 |
| 436 | |
| 437 | // Fold constants precomputed from the polynomial 0x18bb7 |
| 438 | // G(x) = x^16 + x^15 + x^11 + x^9 + x^8 + x^7 + x^5 + x^4 + x^2 + x^1 + x^0 |
| 439 | .Lfold_across_128_bytes_consts: |
| 440 | .quad 0x0000000000006123 // x^(8*128) mod G(x) |
| 441 | .quad 0x0000000000002295 // x^(8*128+64) mod G(x) |
| 442 | // .Lfold_across_64_bytes_consts: |
| 443 | .quad 0x0000000000001069 // x^(4*128) mod G(x) |
| 444 | .quad 0x000000000000dd31 // x^(4*128+64) mod G(x) |
| 445 | // .Lfold_across_32_bytes_consts: |
| 446 | .quad 0x000000000000857d // x^(2*128) mod G(x) |
| 447 | .quad 0x0000000000007acc // x^(2*128+64) mod G(x) |
| 448 | .Lfold_across_16_bytes_consts: |
| 449 | .quad 0x000000000000a010 // x^(1*128) mod G(x) |
| 450 | .quad 0x0000000000001faa // x^(1*128+64) mod G(x) |
| 451 | // .Lfinal_fold_consts: |
| 452 | .quad 0x1368000000000000 // x^48 * (x^48 mod G(x)) |
| 453 | .quad 0x2d56000000000000 // x^48 * (x^80 mod G(x)) |
| 454 | // .Lbarrett_reduction_consts: |
| 455 | .quad 0x0000000000018bb7 // G(x) |
| 456 | .quad 0x00000001f65a57f8 // floor(x^48 / G(x)) |
| 457 | |
| 458 | // For 1 <= len <= 15, the 16-byte vector beginning at &byteshift_table[16 - |
| 459 | // len] is the index vector to shift left by 'len' bytes, and is also {0x80, |
| 460 | // ..., 0x80} XOR the index vector to shift right by '16 - len' bytes. |
| 461 | .Lbyteshift_table: |
| 462 | .byte 0x0, 0x81, 0x82, 0x83, 0x84, 0x85, 0x86, 0x87 |
| 463 | .byte 0x88, 0x89, 0x8a, 0x8b, 0x8c, 0x8d, 0x8e, 0x8f |
| 464 | .byte 0x0, 0x1, 0x2, 0x3, 0x4, 0x5, 0x6, 0x7 |
| 465 | .byte 0x8, 0x9, 0xa, 0xb, 0xc, 0xd, 0xe , 0x0 |
| 466 | |
| 467 | .L16x64perm: |
| 468 | .quad 0x808080800000000, 0x909090901010101 |
| 469 | |