1 /* 2 * CDDL HEADER START 3 * 4 * The contents of this file are subject to the terms of the 5 * Common Development and Distribution License (the "License"). 6 * You may not use this file except in compliance with the License. 7 * 8 * You can obtain a copy of the license at usr/src/OPENSOLARIS.LICENSE 9 * or https://opensource.org/licenses/CDDL-1.0. 10 * See the License for the specific language governing permissions 11 * and limitations under the License. 12 * 13 * When distributing Covered Code, include this CDDL HEADER in each 14 * file and include the License file at usr/src/OPENSOLARIS.LICENSE. 15 * If applicable, add the following below this CDDL HEADER, with the 16 * fields enclosed by brackets "[]" replaced with your own identifying 17 * information: Portions Copyright [yyyy] [name of copyright owner] 18 * 19 * CDDL HEADER END 20 */ 21 /* 22 * Copyright (C) 2016 Gvozden Nešković. All rights reserved. 23 */ 24 25 #ifndef _VDEV_RAIDZ_MATH_IMPL_H 26 #define _VDEV_RAIDZ_MATH_IMPL_H 27 28 #include <sys/types.h> 29 #include <sys/vdev_raidz_impl.h> 30 31 #define raidz_inline inline __attribute__((always_inline)) 32 #ifndef noinline 33 #define noinline __attribute__((noinline)) 34 #endif 35 36 /* 37 * Functions calculate multiplication constants for data reconstruction. 38 * Coefficients depend on RAIDZ geometry, indexes of failed child vdevs, and 39 * used parity columns for reconstruction. 40 * @rr RAIDZ row 41 * @tgtidx array of missing data indexes 42 * @coeff output array of coefficients. Array must be provided by 43 * user and must hold minimum MUL_CNT values. 44 */ 45 static noinline void 46 raidz_rec_q_coeff(const raidz_row_t *rr, const int *tgtidx, unsigned *coeff) 47 { 48 const unsigned ncols = rr->rr_cols; 49 const unsigned x = tgtidx[TARGET_X]; 50 51 coeff[MUL_Q_X] = gf_exp2(255 - (ncols - x - 1)); 52 } 53 54 static noinline void 55 raidz_rec_r_coeff(const raidz_row_t *rr, const int *tgtidx, unsigned *coeff) 56 { 57 const unsigned ncols = rr->rr_cols; 58 const unsigned x = tgtidx[TARGET_X]; 59 60 coeff[MUL_R_X] = gf_exp4(255 - (ncols - x - 1)); 61 } 62 63 static noinline void 64 raidz_rec_pq_coeff(const raidz_row_t *rr, const int *tgtidx, unsigned *coeff) 65 { 66 const unsigned ncols = rr->rr_cols; 67 const unsigned x = tgtidx[TARGET_X]; 68 const unsigned y = tgtidx[TARGET_Y]; 69 gf_t a, b, e; 70 71 a = gf_exp2(x + 255 - y); 72 b = gf_exp2(255 - (ncols - x - 1)); 73 e = a ^ 0x01; 74 75 coeff[MUL_PQ_X] = gf_div(a, e); 76 coeff[MUL_PQ_Y] = gf_div(b, e); 77 } 78 79 static noinline void 80 raidz_rec_pr_coeff(const raidz_row_t *rr, const int *tgtidx, unsigned *coeff) 81 { 82 const unsigned ncols = rr->rr_cols; 83 const unsigned x = tgtidx[TARGET_X]; 84 const unsigned y = tgtidx[TARGET_Y]; 85 86 gf_t a, b, e; 87 88 a = gf_exp4(x + 255 - y); 89 b = gf_exp4(255 - (ncols - x - 1)); 90 e = a ^ 0x01; 91 92 coeff[MUL_PR_X] = gf_div(a, e); 93 coeff[MUL_PR_Y] = gf_div(b, e); 94 } 95 96 static noinline void 97 raidz_rec_qr_coeff(const raidz_row_t *rr, const int *tgtidx, unsigned *coeff) 98 { 99 const unsigned ncols = rr->rr_cols; 100 const unsigned x = tgtidx[TARGET_X]; 101 const unsigned y = tgtidx[TARGET_Y]; 102 103 gf_t nx, ny, nxxy, nxyy, d; 104 105 nx = gf_exp2(ncols - x - 1); 106 ny = gf_exp2(ncols - y - 1); 107 nxxy = gf_mul(gf_mul(nx, nx), ny); 108 nxyy = gf_mul(gf_mul(nx, ny), ny); 109 d = nxxy ^ nxyy; 110 111 coeff[MUL_QR_XQ] = ny; 112 coeff[MUL_QR_X] = gf_div(ny, d); 113 coeff[MUL_QR_YQ] = nx; 114 coeff[MUL_QR_Y] = gf_div(nx, d); 115 } 116 117 static noinline void 118 raidz_rec_pqr_coeff(const raidz_row_t *rr, const int *tgtidx, unsigned *coeff) 119 { 120 const unsigned ncols = rr->rr_cols; 121 const unsigned x = tgtidx[TARGET_X]; 122 const unsigned y = tgtidx[TARGET_Y]; 123 const unsigned z = tgtidx[TARGET_Z]; 124 125 gf_t nx, ny, nz, nxx, nyy, nzz, nyyz, nyzz, xd, yd; 126 127 nx = gf_exp2(ncols - x - 1); 128 ny = gf_exp2(ncols - y - 1); 129 nz = gf_exp2(ncols - z - 1); 130 131 nxx = gf_exp4(ncols - x - 1); 132 nyy = gf_exp4(ncols - y - 1); 133 nzz = gf_exp4(ncols - z - 1); 134 135 nyyz = gf_mul(gf_mul(ny, nz), ny); 136 nyzz = gf_mul(nzz, ny); 137 138 xd = gf_mul(nxx, ny) ^ gf_mul(nx, nyy) ^ nyyz ^ 139 gf_mul(nxx, nz) ^ gf_mul(nzz, nx) ^ nyzz; 140 141 yd = gf_inv(ny ^ nz); 142 143 coeff[MUL_PQR_XP] = gf_div(nyyz ^ nyzz, xd); 144 coeff[MUL_PQR_XQ] = gf_div(nyy ^ nzz, xd); 145 coeff[MUL_PQR_XR] = gf_div(ny ^ nz, xd); 146 coeff[MUL_PQR_YU] = nx; 147 coeff[MUL_PQR_YP] = gf_mul(nz, yd); 148 coeff[MUL_PQR_YQ] = yd; 149 } 150 151 /* 152 * Method for zeroing a buffer (can be implemented using SIMD). 153 * This method is used by multiple for gen/rec functions. 154 * 155 * @dc Destination buffer 156 * @dsize Destination buffer size 157 * @private Unused 158 */ 159 static int 160 raidz_zero_abd_cb(void *dc, size_t dsize, void *private) 161 { 162 v_t *dst = (v_t *)dc; 163 size_t i; 164 165 ZERO_DEFINE(); 166 167 (void) private; /* unused */ 168 169 ZERO(ZERO_D); 170 171 for (i = 0; i < dsize / sizeof (v_t); i += (2 * ZERO_STRIDE)) { 172 STORE(dst + i, ZERO_D); 173 STORE(dst + i + ZERO_STRIDE, ZERO_D); 174 } 175 176 return (0); 177 } 178 179 #define raidz_zero(dabd, size) \ 180 { \ 181 abd_iterate_func(dabd, 0, size, raidz_zero_abd_cb, NULL); \ 182 } 183 184 /* 185 * Method for copying two buffers (can be implemented using SIMD). 186 * This method is used by multiple for gen/rec functions. 187 * 188 * @dc Destination buffer 189 * @sc Source buffer 190 * @dsize Destination buffer size 191 * @ssize Source buffer size 192 * @private Unused 193 */ 194 static int 195 raidz_copy_abd_cb(void *dc, void *sc, size_t size, void *private) 196 { 197 v_t *dst = (v_t *)dc; 198 const v_t *src = (v_t *)sc; 199 size_t i; 200 201 COPY_DEFINE(); 202 203 (void) private; /* unused */ 204 205 for (i = 0; i < size / sizeof (v_t); i += (2 * COPY_STRIDE)) { 206 LOAD(src + i, COPY_D); 207 STORE(dst + i, COPY_D); 208 209 LOAD(src + i + COPY_STRIDE, COPY_D); 210 STORE(dst + i + COPY_STRIDE, COPY_D); 211 } 212 213 return (0); 214 } 215 216 217 #define raidz_copy(dabd, sabd, size) \ 218 { \ 219 abd_iterate_func2(dabd, sabd, 0, 0, size, raidz_copy_abd_cb, NULL);\ 220 } 221 222 /* 223 * Method for adding (XORing) two buffers. 224 * Source and destination are XORed together and result is stored in 225 * destination buffer. This method is used by multiple for gen/rec functions. 226 * 227 * @dc Destination buffer 228 * @sc Source buffer 229 * @dsize Destination buffer size 230 * @ssize Source buffer size 231 * @private Unused 232 */ 233 static int 234 raidz_add_abd_cb(void *dc, void *sc, size_t size, void *private) 235 { 236 v_t *dst = (v_t *)dc; 237 const v_t *src = (v_t *)sc; 238 size_t i; 239 240 ADD_DEFINE(); 241 242 (void) private; /* unused */ 243 244 for (i = 0; i < size / sizeof (v_t); i += (2 * ADD_STRIDE)) { 245 LOAD(dst + i, ADD_D); 246 XOR_ACC(src + i, ADD_D); 247 STORE(dst + i, ADD_D); 248 249 LOAD(dst + i + ADD_STRIDE, ADD_D); 250 XOR_ACC(src + i + ADD_STRIDE, ADD_D); 251 STORE(dst + i + ADD_STRIDE, ADD_D); 252 } 253 254 return (0); 255 } 256 257 #define raidz_add(dabd, sabd, size) \ 258 { \ 259 abd_iterate_func2(dabd, sabd, 0, 0, size, raidz_add_abd_cb, NULL);\ 260 } 261 262 /* 263 * Method for multiplying a buffer with a constant in GF(2^8). 264 * Symbols from buffer are multiplied by a constant and result is stored 265 * back in the same buffer. 266 * 267 * @dc In/Out data buffer. 268 * @size Size of the buffer 269 * @private pointer to the multiplication constant (unsigned) 270 */ 271 static int 272 raidz_mul_abd_cb(void *dc, size_t size, void *private) 273 { 274 const unsigned mul = *((unsigned *)private); 275 v_t *d = (v_t *)dc; 276 size_t i; 277 278 MUL_DEFINE(); 279 280 for (i = 0; i < size / sizeof (v_t); i += (2 * MUL_STRIDE)) { 281 LOAD(d + i, MUL_D); 282 MUL(mul, MUL_D); 283 STORE(d + i, MUL_D); 284 285 LOAD(d + i + MUL_STRIDE, MUL_D); 286 MUL(mul, MUL_D); 287 STORE(d + i + MUL_STRIDE, MUL_D); 288 } 289 290 return (0); 291 } 292 293 294 /* 295 * Syndrome generation/update macros 296 * 297 * Require LOAD(), XOR(), STORE(), MUL2(), and MUL4() macros 298 */ 299 #define P_D_SYNDROME(D, T, t) \ 300 { \ 301 LOAD((t), T); \ 302 XOR(D, T); \ 303 STORE((t), T); \ 304 } 305 306 #define Q_D_SYNDROME(D, T, t) \ 307 { \ 308 LOAD((t), T); \ 309 MUL2(T); \ 310 XOR(D, T); \ 311 STORE((t), T); \ 312 } 313 314 #define Q_SYNDROME(T, t) \ 315 { \ 316 LOAD((t), T); \ 317 MUL2(T); \ 318 STORE((t), T); \ 319 } 320 321 #define R_D_SYNDROME(D, T, t) \ 322 { \ 323 LOAD((t), T); \ 324 MUL4(T); \ 325 XOR(D, T); \ 326 STORE((t), T); \ 327 } 328 329 #define R_SYNDROME(T, t) \ 330 { \ 331 LOAD((t), T); \ 332 MUL4(T); \ 333 STORE((t), T); \ 334 } 335 336 337 /* 338 * PARITY CALCULATION 339 * 340 * Macros *_SYNDROME are used for parity/syndrome calculation. 341 * *_D_SYNDROME() macros are used to calculate syndrome between 0 and 342 * length of data column, and *_SYNDROME() macros are only for updating 343 * the parity/syndrome if data column is shorter. 344 * 345 * P parity is calculated using raidz_add_abd(). 346 */ 347 348 /* 349 * Generate P parity (RAIDZ1) 350 * 351 * @rr RAIDZ row 352 */ 353 static raidz_inline void 354 raidz_generate_p_impl(raidz_row_t * const rr) 355 { 356 size_t c; 357 const size_t ncols = rr->rr_cols; 358 const size_t psize = rr->rr_col[CODE_P].rc_size; 359 abd_t *pabd = rr->rr_col[CODE_P].rc_abd; 360 size_t size; 361 abd_t *dabd; 362 363 raidz_math_begin(); 364 365 /* start with first data column */ 366 raidz_copy(pabd, rr->rr_col[1].rc_abd, psize); 367 368 for (c = 2; c < ncols; c++) { 369 dabd = rr->rr_col[c].rc_abd; 370 size = rr->rr_col[c].rc_size; 371 372 /* add data column */ 373 raidz_add(pabd, dabd, size); 374 } 375 376 raidz_math_end(); 377 } 378 379 380 /* 381 * Generate PQ parity (RAIDZ2) 382 * The function is called per data column. 383 * 384 * @c array of pointers to parity (code) columns 385 * @dc pointer to data column 386 * @csize size of parity columns 387 * @dsize size of data column 388 */ 389 static void 390 raidz_gen_pq_add(void **c, const void *dc, const size_t csize, 391 const size_t dsize) 392 { 393 v_t *p = (v_t *)c[0]; 394 v_t *q = (v_t *)c[1]; 395 const v_t *d = (const v_t *)dc; 396 const v_t * const dend = d + (dsize / sizeof (v_t)); 397 const v_t * const qend = q + (csize / sizeof (v_t)); 398 399 GEN_PQ_DEFINE(); 400 401 MUL2_SETUP(); 402 403 for (; d < dend; d += GEN_PQ_STRIDE, p += GEN_PQ_STRIDE, 404 q += GEN_PQ_STRIDE) { 405 LOAD(d, GEN_PQ_D); 406 P_D_SYNDROME(GEN_PQ_D, GEN_PQ_C, p); 407 Q_D_SYNDROME(GEN_PQ_D, GEN_PQ_C, q); 408 } 409 for (; q < qend; q += GEN_PQ_STRIDE) { 410 Q_SYNDROME(GEN_PQ_C, q); 411 } 412 } 413 414 415 /* 416 * Generate PQ parity (RAIDZ2) 417 * 418 * @rr RAIDZ row 419 */ 420 static raidz_inline void 421 raidz_generate_pq_impl(raidz_row_t * const rr) 422 { 423 size_t c; 424 const size_t ncols = rr->rr_cols; 425 const size_t csize = rr->rr_col[CODE_P].rc_size; 426 size_t dsize; 427 abd_t *dabd; 428 abd_t *cabds[] = { 429 rr->rr_col[CODE_P].rc_abd, 430 rr->rr_col[CODE_Q].rc_abd 431 }; 432 433 raidz_math_begin(); 434 435 raidz_copy(cabds[CODE_P], rr->rr_col[2].rc_abd, csize); 436 raidz_copy(cabds[CODE_Q], rr->rr_col[2].rc_abd, csize); 437 438 for (c = 3; c < ncols; c++) { 439 dabd = rr->rr_col[c].rc_abd; 440 dsize = rr->rr_col[c].rc_size; 441 442 abd_raidz_gen_iterate(cabds, dabd, csize, dsize, 2, 443 raidz_gen_pq_add); 444 } 445 446 raidz_math_end(); 447 } 448 449 450 /* 451 * Generate PQR parity (RAIDZ3) 452 * The function is called per data column. 453 * 454 * @c array of pointers to parity (code) columns 455 * @dc pointer to data column 456 * @csize size of parity columns 457 * @dsize size of data column 458 */ 459 static void 460 raidz_gen_pqr_add(void **c, const void *dc, const size_t csize, 461 const size_t dsize) 462 { 463 v_t *p = (v_t *)c[0]; 464 v_t *q = (v_t *)c[1]; 465 v_t *r = (v_t *)c[CODE_R]; 466 const v_t *d = (const v_t *)dc; 467 const v_t * const dend = d + (dsize / sizeof (v_t)); 468 const v_t * const qend = q + (csize / sizeof (v_t)); 469 470 GEN_PQR_DEFINE(); 471 472 MUL2_SETUP(); 473 474 for (; d < dend; d += GEN_PQR_STRIDE, p += GEN_PQR_STRIDE, 475 q += GEN_PQR_STRIDE, r += GEN_PQR_STRIDE) { 476 LOAD(d, GEN_PQR_D); 477 P_D_SYNDROME(GEN_PQR_D, GEN_PQR_C, p); 478 Q_D_SYNDROME(GEN_PQR_D, GEN_PQR_C, q); 479 R_D_SYNDROME(GEN_PQR_D, GEN_PQR_C, r); 480 } 481 for (; q < qend; q += GEN_PQR_STRIDE, r += GEN_PQR_STRIDE) { 482 Q_SYNDROME(GEN_PQR_C, q); 483 R_SYNDROME(GEN_PQR_C, r); 484 } 485 } 486 487 488 /* 489 * Generate PQR parity (RAIDZ2) 490 * 491 * @rr RAIDZ row 492 */ 493 static raidz_inline void 494 raidz_generate_pqr_impl(raidz_row_t * const rr) 495 { 496 size_t c; 497 const size_t ncols = rr->rr_cols; 498 const size_t csize = rr->rr_col[CODE_P].rc_size; 499 size_t dsize; 500 abd_t *dabd; 501 abd_t *cabds[] = { 502 rr->rr_col[CODE_P].rc_abd, 503 rr->rr_col[CODE_Q].rc_abd, 504 rr->rr_col[CODE_R].rc_abd 505 }; 506 507 raidz_math_begin(); 508 509 raidz_copy(cabds[CODE_P], rr->rr_col[3].rc_abd, csize); 510 raidz_copy(cabds[CODE_Q], rr->rr_col[3].rc_abd, csize); 511 raidz_copy(cabds[CODE_R], rr->rr_col[3].rc_abd, csize); 512 513 for (c = 4; c < ncols; c++) { 514 dabd = rr->rr_col[c].rc_abd; 515 dsize = rr->rr_col[c].rc_size; 516 517 abd_raidz_gen_iterate(cabds, dabd, csize, dsize, 3, 518 raidz_gen_pqr_add); 519 } 520 521 raidz_math_end(); 522 } 523 524 525 /* 526 * DATA RECONSTRUCTION 527 * 528 * Data reconstruction process consists of two phases: 529 * - Syndrome calculation 530 * - Data reconstruction 531 * 532 * Syndrome is calculated by generating parity using available data columns 533 * and zeros in places of erasure. Existing parity is added to corresponding 534 * syndrome value to obtain the [P|Q|R]syn values from equation: 535 * P = Psyn + Dx + Dy + Dz 536 * Q = Qsyn + 2^x * Dx + 2^y * Dy + 2^z * Dz 537 * R = Rsyn + 4^x * Dx + 4^y * Dy + 4^z * Dz 538 * 539 * For data reconstruction phase, the corresponding equations are solved 540 * for missing data (Dx, Dy, Dz). This generally involves multiplying known 541 * symbols by an coefficient and adding them together. The multiplication 542 * constant coefficients are calculated ahead of the operation in 543 * raidz_rec_[q|r|pq|pq|qr|pqr]_coeff() functions. 544 * 545 * IMPLEMENTATION NOTE: RAID-Z block can have complex geometry, with "big" 546 * and "short" columns. 547 * For this reason, reconstruction is performed in minimum of 548 * two steps. First, from offset 0 to short_size, then from short_size to 549 * short_size. Calculation functions REC_[*]_BLOCK() are implemented to work 550 * over both ranges. The split also enables removal of conditional expressions 551 * from loop bodies, improving throughput of SIMD implementations. 552 * For the best performance, all functions marked with raidz_inline attribute 553 * must be inlined by compiler. 554 * 555 * parity data 556 * columns columns 557 * <----------> <------------------> 558 * x y <----+ missing columns (x, y) 559 * | | 560 * +---+---+---+---+-v-+---+-v-+---+ ^ 0 561 * | | | | | | | | | | 562 * | | | | | | | | | | 563 * | P | Q | R | D | D | D | D | D | | 564 * | | | | 0 | 1 | 2 | 3 | 4 | | 565 * | | | | | | | | | v 566 * | | | | | +---+---+---+ ^ short_size 567 * | | | | | | | 568 * +---+---+---+---+---+ v big_size 569 * <------------------> <----------> 570 * big columns short columns 571 * 572 */ 573 574 575 576 577 /* 578 * Reconstruct single data column using P parity 579 * 580 * @syn_method raidz_add_abd() 581 * @rec_method not applicable 582 * 583 * @rr RAIDZ row 584 * @tgtidx array of missing data indexes 585 */ 586 static raidz_inline int 587 raidz_reconstruct_p_impl(raidz_row_t *rr, const int *tgtidx) 588 { 589 size_t c; 590 const size_t firstdc = rr->rr_firstdatacol; 591 const size_t ncols = rr->rr_cols; 592 const size_t x = tgtidx[TARGET_X]; 593 const size_t xsize = rr->rr_col[x].rc_size; 594 abd_t *xabd = rr->rr_col[x].rc_abd; 595 size_t size; 596 abd_t *dabd; 597 598 if (xabd == NULL) 599 return (1 << CODE_P); 600 601 raidz_math_begin(); 602 603 /* copy P into target */ 604 raidz_copy(xabd, rr->rr_col[CODE_P].rc_abd, xsize); 605 606 /* generate p_syndrome */ 607 for (c = firstdc; c < ncols; c++) { 608 if (c == x) 609 continue; 610 611 dabd = rr->rr_col[c].rc_abd; 612 size = MIN(rr->rr_col[c].rc_size, xsize); 613 614 raidz_add(xabd, dabd, size); 615 } 616 617 raidz_math_end(); 618 619 return (1 << CODE_P); 620 } 621 622 623 /* 624 * Generate Q syndrome (Qsyn) 625 * 626 * @xc array of pointers to syndrome columns 627 * @dc data column (NULL if missing) 628 * @xsize size of syndrome columns 629 * @dsize size of data column (0 if missing) 630 */ 631 static void 632 raidz_syn_q_abd(void **xc, const void *dc, const size_t xsize, 633 const size_t dsize) 634 { 635 v_t *x = (v_t *)xc[TARGET_X]; 636 const v_t *d = (const v_t *)dc; 637 const v_t * const dend = d + (dsize / sizeof (v_t)); 638 const v_t * const xend = x + (xsize / sizeof (v_t)); 639 640 SYN_Q_DEFINE(); 641 642 MUL2_SETUP(); 643 644 for (; d < dend; d += SYN_STRIDE, x += SYN_STRIDE) { 645 LOAD(d, SYN_Q_D); 646 Q_D_SYNDROME(SYN_Q_D, SYN_Q_X, x); 647 } 648 for (; x < xend; x += SYN_STRIDE) { 649 Q_SYNDROME(SYN_Q_X, x); 650 } 651 } 652 653 654 /* 655 * Reconstruct single data column using Q parity 656 * 657 * @syn_method raidz_add_abd() 658 * @rec_method raidz_mul_abd_cb() 659 * 660 * @rr RAIDZ row 661 * @tgtidx array of missing data indexes 662 */ 663 static raidz_inline int 664 raidz_reconstruct_q_impl(raidz_row_t *rr, const int *tgtidx) 665 { 666 size_t c; 667 size_t dsize; 668 abd_t *dabd; 669 const size_t firstdc = rr->rr_firstdatacol; 670 const size_t ncols = rr->rr_cols; 671 const size_t x = tgtidx[TARGET_X]; 672 abd_t *xabd = rr->rr_col[x].rc_abd; 673 const size_t xsize = rr->rr_col[x].rc_size; 674 abd_t *tabds[] = { xabd }; 675 676 if (xabd == NULL) 677 return (1 << CODE_Q); 678 679 unsigned coeff[MUL_CNT]; 680 raidz_rec_q_coeff(rr, tgtidx, coeff); 681 682 raidz_math_begin(); 683 684 /* Start with first data column if present */ 685 if (firstdc != x) { 686 raidz_copy(xabd, rr->rr_col[firstdc].rc_abd, xsize); 687 } else { 688 raidz_zero(xabd, xsize); 689 } 690 691 /* generate q_syndrome */ 692 for (c = firstdc+1; c < ncols; c++) { 693 if (c == x) { 694 dabd = NULL; 695 dsize = 0; 696 } else { 697 dabd = rr->rr_col[c].rc_abd; 698 dsize = rr->rr_col[c].rc_size; 699 } 700 701 abd_raidz_gen_iterate(tabds, dabd, xsize, dsize, 1, 702 raidz_syn_q_abd); 703 } 704 705 /* add Q to the syndrome */ 706 raidz_add(xabd, rr->rr_col[CODE_Q].rc_abd, xsize); 707 708 /* transform the syndrome */ 709 abd_iterate_func(xabd, 0, xsize, raidz_mul_abd_cb, (void*) coeff); 710 711 raidz_math_end(); 712 713 return (1 << CODE_Q); 714 } 715 716 717 /* 718 * Generate R syndrome (Rsyn) 719 * 720 * @xc array of pointers to syndrome columns 721 * @dc data column (NULL if missing) 722 * @tsize size of syndrome columns 723 * @dsize size of data column (0 if missing) 724 */ 725 static void 726 raidz_syn_r_abd(void **xc, const void *dc, const size_t tsize, 727 const size_t dsize) 728 { 729 v_t *x = (v_t *)xc[TARGET_X]; 730 const v_t *d = (const v_t *)dc; 731 const v_t * const dend = d + (dsize / sizeof (v_t)); 732 const v_t * const xend = x + (tsize / sizeof (v_t)); 733 734 SYN_R_DEFINE(); 735 736 MUL2_SETUP(); 737 738 for (; d < dend; d += SYN_STRIDE, x += SYN_STRIDE) { 739 LOAD(d, SYN_R_D); 740 R_D_SYNDROME(SYN_R_D, SYN_R_X, x); 741 } 742 for (; x < xend; x += SYN_STRIDE) { 743 R_SYNDROME(SYN_R_X, x); 744 } 745 } 746 747 748 /* 749 * Reconstruct single data column using R parity 750 * 751 * @syn_method raidz_add_abd() 752 * @rec_method raidz_mul_abd_cb() 753 * 754 * @rr RAIDZ rr 755 * @tgtidx array of missing data indexes 756 */ 757 static raidz_inline int 758 raidz_reconstruct_r_impl(raidz_row_t *rr, const int *tgtidx) 759 { 760 size_t c; 761 size_t dsize; 762 abd_t *dabd; 763 const size_t firstdc = rr->rr_firstdatacol; 764 const size_t ncols = rr->rr_cols; 765 const size_t x = tgtidx[TARGET_X]; 766 const size_t xsize = rr->rr_col[x].rc_size; 767 abd_t *xabd = rr->rr_col[x].rc_abd; 768 abd_t *tabds[] = { xabd }; 769 770 if (xabd == NULL) 771 return (1 << CODE_R); 772 773 unsigned coeff[MUL_CNT]; 774 raidz_rec_r_coeff(rr, tgtidx, coeff); 775 776 raidz_math_begin(); 777 778 /* Start with first data column if present */ 779 if (firstdc != x) { 780 raidz_copy(xabd, rr->rr_col[firstdc].rc_abd, xsize); 781 } else { 782 raidz_zero(xabd, xsize); 783 } 784 785 786 /* generate q_syndrome */ 787 for (c = firstdc+1; c < ncols; c++) { 788 if (c == x) { 789 dabd = NULL; 790 dsize = 0; 791 } else { 792 dabd = rr->rr_col[c].rc_abd; 793 dsize = rr->rr_col[c].rc_size; 794 } 795 796 abd_raidz_gen_iterate(tabds, dabd, xsize, dsize, 1, 797 raidz_syn_r_abd); 798 } 799 800 /* add R to the syndrome */ 801 raidz_add(xabd, rr->rr_col[CODE_R].rc_abd, xsize); 802 803 /* transform the syndrome */ 804 abd_iterate_func(xabd, 0, xsize, raidz_mul_abd_cb, (void *)coeff); 805 806 raidz_math_end(); 807 808 return (1 << CODE_R); 809 } 810 811 812 /* 813 * Generate P and Q syndromes 814 * 815 * @xc array of pointers to syndrome columns 816 * @dc data column (NULL if missing) 817 * @tsize size of syndrome columns 818 * @dsize size of data column (0 if missing) 819 */ 820 static void 821 raidz_syn_pq_abd(void **tc, const void *dc, const size_t tsize, 822 const size_t dsize) 823 { 824 v_t *x = (v_t *)tc[TARGET_X]; 825 v_t *y = (v_t *)tc[TARGET_Y]; 826 const v_t *d = (const v_t *)dc; 827 const v_t * const dend = d + (dsize / sizeof (v_t)); 828 const v_t * const yend = y + (tsize / sizeof (v_t)); 829 830 SYN_PQ_DEFINE(); 831 832 MUL2_SETUP(); 833 834 for (; d < dend; d += SYN_STRIDE, x += SYN_STRIDE, y += SYN_STRIDE) { 835 LOAD(d, SYN_PQ_D); 836 P_D_SYNDROME(SYN_PQ_D, SYN_PQ_X, x); 837 Q_D_SYNDROME(SYN_PQ_D, SYN_PQ_X, y); 838 } 839 for (; y < yend; y += SYN_STRIDE) { 840 Q_SYNDROME(SYN_PQ_X, y); 841 } 842 } 843 844 /* 845 * Reconstruct data using PQ parity and PQ syndromes 846 * 847 * @tc syndrome/result columns 848 * @tsize size of syndrome/result columns 849 * @c parity columns 850 * @mul array of multiplication constants 851 */ 852 static void 853 raidz_rec_pq_abd(void **tc, const size_t tsize, void **c, 854 const unsigned *mul) 855 { 856 v_t *x = (v_t *)tc[TARGET_X]; 857 v_t *y = (v_t *)tc[TARGET_Y]; 858 const v_t * const xend = x + (tsize / sizeof (v_t)); 859 const v_t *p = (v_t *)c[CODE_P]; 860 const v_t *q = (v_t *)c[CODE_Q]; 861 862 REC_PQ_DEFINE(); 863 864 for (; x < xend; x += REC_PQ_STRIDE, y += REC_PQ_STRIDE, 865 p += REC_PQ_STRIDE, q += REC_PQ_STRIDE) { 866 LOAD(x, REC_PQ_X); 867 LOAD(y, REC_PQ_Y); 868 869 XOR_ACC(p, REC_PQ_X); 870 XOR_ACC(q, REC_PQ_Y); 871 872 /* Save Pxy */ 873 COPY(REC_PQ_X, REC_PQ_T); 874 875 /* Calc X */ 876 MUL(mul[MUL_PQ_X], REC_PQ_X); 877 MUL(mul[MUL_PQ_Y], REC_PQ_Y); 878 XOR(REC_PQ_Y, REC_PQ_X); 879 STORE(x, REC_PQ_X); 880 881 /* Calc Y */ 882 XOR(REC_PQ_T, REC_PQ_X); 883 STORE(y, REC_PQ_X); 884 } 885 } 886 887 888 /* 889 * Reconstruct two data columns using PQ parity 890 * 891 * @syn_method raidz_syn_pq_abd() 892 * @rec_method raidz_rec_pq_abd() 893 * 894 * @rr RAIDZ row 895 * @tgtidx array of missing data indexes 896 */ 897 static raidz_inline int 898 raidz_reconstruct_pq_impl(raidz_row_t *rr, const int *tgtidx) 899 { 900 size_t c; 901 size_t dsize; 902 abd_t *dabd; 903 const size_t firstdc = rr->rr_firstdatacol; 904 const size_t ncols = rr->rr_cols; 905 const size_t x = tgtidx[TARGET_X]; 906 const size_t y = tgtidx[TARGET_Y]; 907 const size_t xsize = rr->rr_col[x].rc_size; 908 const size_t ysize = rr->rr_col[y].rc_size; 909 abd_t *xabd = rr->rr_col[x].rc_abd; 910 abd_t *yabd = rr->rr_col[y].rc_abd; 911 abd_t *tabds[2] = { xabd, yabd }; 912 abd_t *cabds[] = { 913 rr->rr_col[CODE_P].rc_abd, 914 rr->rr_col[CODE_Q].rc_abd 915 }; 916 917 if (xabd == NULL) 918 return ((1 << CODE_P) | (1 << CODE_Q)); 919 920 unsigned coeff[MUL_CNT]; 921 raidz_rec_pq_coeff(rr, tgtidx, coeff); 922 923 /* 924 * Check if some of targets is shorter then others 925 * In this case, shorter target needs to be replaced with 926 * new buffer so that syndrome can be calculated. 927 */ 928 if (ysize < xsize) { 929 yabd = abd_alloc(xsize, B_FALSE); 930 tabds[1] = yabd; 931 } 932 933 raidz_math_begin(); 934 935 /* Start with first data column if present */ 936 if (firstdc != x) { 937 raidz_copy(xabd, rr->rr_col[firstdc].rc_abd, xsize); 938 raidz_copy(yabd, rr->rr_col[firstdc].rc_abd, xsize); 939 } else { 940 raidz_zero(xabd, xsize); 941 raidz_zero(yabd, xsize); 942 } 943 944 /* generate q_syndrome */ 945 for (c = firstdc+1; c < ncols; c++) { 946 if (c == x || c == y) { 947 dabd = NULL; 948 dsize = 0; 949 } else { 950 dabd = rr->rr_col[c].rc_abd; 951 dsize = rr->rr_col[c].rc_size; 952 } 953 954 abd_raidz_gen_iterate(tabds, dabd, xsize, dsize, 2, 955 raidz_syn_pq_abd); 956 } 957 958 abd_raidz_rec_iterate(cabds, tabds, xsize, 2, raidz_rec_pq_abd, coeff); 959 960 /* Copy shorter targets back to the original abd buffer */ 961 if (ysize < xsize) 962 raidz_copy(rr->rr_col[y].rc_abd, yabd, ysize); 963 964 raidz_math_end(); 965 966 if (ysize < xsize) 967 abd_free(yabd); 968 969 return ((1 << CODE_P) | (1 << CODE_Q)); 970 } 971 972 973 /* 974 * Generate P and R syndromes 975 * 976 * @xc array of pointers to syndrome columns 977 * @dc data column (NULL if missing) 978 * @tsize size of syndrome columns 979 * @dsize size of data column (0 if missing) 980 */ 981 static void 982 raidz_syn_pr_abd(void **c, const void *dc, const size_t tsize, 983 const size_t dsize) 984 { 985 v_t *x = (v_t *)c[TARGET_X]; 986 v_t *y = (v_t *)c[TARGET_Y]; 987 const v_t *d = (const v_t *)dc; 988 const v_t * const dend = d + (dsize / sizeof (v_t)); 989 const v_t * const yend = y + (tsize / sizeof (v_t)); 990 991 SYN_PR_DEFINE(); 992 993 MUL2_SETUP(); 994 995 for (; d < dend; d += SYN_STRIDE, x += SYN_STRIDE, y += SYN_STRIDE) { 996 LOAD(d, SYN_PR_D); 997 P_D_SYNDROME(SYN_PR_D, SYN_PR_X, x); 998 R_D_SYNDROME(SYN_PR_D, SYN_PR_X, y); 999 } 1000 for (; y < yend; y += SYN_STRIDE) { 1001 R_SYNDROME(SYN_PR_X, y); 1002 } 1003 } 1004 1005 /* 1006 * Reconstruct data using PR parity and PR syndromes 1007 * 1008 * @tc syndrome/result columns 1009 * @tsize size of syndrome/result columns 1010 * @c parity columns 1011 * @mul array of multiplication constants 1012 */ 1013 static void 1014 raidz_rec_pr_abd(void **t, const size_t tsize, void **c, 1015 const unsigned *mul) 1016 { 1017 v_t *x = (v_t *)t[TARGET_X]; 1018 v_t *y = (v_t *)t[TARGET_Y]; 1019 const v_t * const xend = x + (tsize / sizeof (v_t)); 1020 const v_t *p = (v_t *)c[CODE_P]; 1021 const v_t *q = (v_t *)c[CODE_Q]; 1022 1023 REC_PR_DEFINE(); 1024 1025 for (; x < xend; x += REC_PR_STRIDE, y += REC_PR_STRIDE, 1026 p += REC_PR_STRIDE, q += REC_PR_STRIDE) { 1027 LOAD(x, REC_PR_X); 1028 LOAD(y, REC_PR_Y); 1029 XOR_ACC(p, REC_PR_X); 1030 XOR_ACC(q, REC_PR_Y); 1031 1032 /* Save Pxy */ 1033 COPY(REC_PR_X, REC_PR_T); 1034 1035 /* Calc X */ 1036 MUL(mul[MUL_PR_X], REC_PR_X); 1037 MUL(mul[MUL_PR_Y], REC_PR_Y); 1038 XOR(REC_PR_Y, REC_PR_X); 1039 STORE(x, REC_PR_X); 1040 1041 /* Calc Y */ 1042 XOR(REC_PR_T, REC_PR_X); 1043 STORE(y, REC_PR_X); 1044 } 1045 } 1046 1047 1048 /* 1049 * Reconstruct two data columns using PR parity 1050 * 1051 * @syn_method raidz_syn_pr_abd() 1052 * @rec_method raidz_rec_pr_abd() 1053 * 1054 * @rr RAIDZ row 1055 * @tgtidx array of missing data indexes 1056 */ 1057 static raidz_inline int 1058 raidz_reconstruct_pr_impl(raidz_row_t *rr, const int *tgtidx) 1059 { 1060 size_t c; 1061 size_t dsize; 1062 abd_t *dabd; 1063 const size_t firstdc = rr->rr_firstdatacol; 1064 const size_t ncols = rr->rr_cols; 1065 const size_t x = tgtidx[0]; 1066 const size_t y = tgtidx[1]; 1067 const size_t xsize = rr->rr_col[x].rc_size; 1068 const size_t ysize = rr->rr_col[y].rc_size; 1069 abd_t *xabd = rr->rr_col[x].rc_abd; 1070 abd_t *yabd = rr->rr_col[y].rc_abd; 1071 abd_t *tabds[2] = { xabd, yabd }; 1072 abd_t *cabds[] = { 1073 rr->rr_col[CODE_P].rc_abd, 1074 rr->rr_col[CODE_R].rc_abd 1075 }; 1076 1077 if (xabd == NULL) 1078 return ((1 << CODE_P) | (1 << CODE_R)); 1079 1080 unsigned coeff[MUL_CNT]; 1081 raidz_rec_pr_coeff(rr, tgtidx, coeff); 1082 1083 /* 1084 * Check if some of targets are shorter then others. 1085 * They need to be replaced with a new buffer so that syndrome can 1086 * be calculated on full length. 1087 */ 1088 if (ysize < xsize) { 1089 yabd = abd_alloc(xsize, B_FALSE); 1090 tabds[1] = yabd; 1091 } 1092 1093 raidz_math_begin(); 1094 1095 /* Start with first data column if present */ 1096 if (firstdc != x) { 1097 raidz_copy(xabd, rr->rr_col[firstdc].rc_abd, xsize); 1098 raidz_copy(yabd, rr->rr_col[firstdc].rc_abd, xsize); 1099 } else { 1100 raidz_zero(xabd, xsize); 1101 raidz_zero(yabd, xsize); 1102 } 1103 1104 /* generate q_syndrome */ 1105 for (c = firstdc+1; c < ncols; c++) { 1106 if (c == x || c == y) { 1107 dabd = NULL; 1108 dsize = 0; 1109 } else { 1110 dabd = rr->rr_col[c].rc_abd; 1111 dsize = rr->rr_col[c].rc_size; 1112 } 1113 1114 abd_raidz_gen_iterate(tabds, dabd, xsize, dsize, 2, 1115 raidz_syn_pr_abd); 1116 } 1117 1118 abd_raidz_rec_iterate(cabds, tabds, xsize, 2, raidz_rec_pr_abd, coeff); 1119 1120 /* 1121 * Copy shorter targets back to the original abd buffer 1122 */ 1123 if (ysize < xsize) 1124 raidz_copy(rr->rr_col[y].rc_abd, yabd, ysize); 1125 1126 raidz_math_end(); 1127 1128 if (ysize < xsize) 1129 abd_free(yabd); 1130 1131 return ((1 << CODE_P) | (1 << CODE_R)); 1132 } 1133 1134 1135 /* 1136 * Generate Q and R syndromes 1137 * 1138 * @xc array of pointers to syndrome columns 1139 * @dc data column (NULL if missing) 1140 * @tsize size of syndrome columns 1141 * @dsize size of data column (0 if missing) 1142 */ 1143 static void 1144 raidz_syn_qr_abd(void **c, const void *dc, const size_t tsize, 1145 const size_t dsize) 1146 { 1147 v_t *x = (v_t *)c[TARGET_X]; 1148 v_t *y = (v_t *)c[TARGET_Y]; 1149 const v_t * const xend = x + (tsize / sizeof (v_t)); 1150 const v_t *d = (const v_t *)dc; 1151 const v_t * const dend = d + (dsize / sizeof (v_t)); 1152 1153 SYN_QR_DEFINE(); 1154 1155 MUL2_SETUP(); 1156 1157 for (; d < dend; d += SYN_STRIDE, x += SYN_STRIDE, y += SYN_STRIDE) { 1158 LOAD(d, SYN_PQ_D); 1159 Q_D_SYNDROME(SYN_QR_D, SYN_QR_X, x); 1160 R_D_SYNDROME(SYN_QR_D, SYN_QR_X, y); 1161 } 1162 for (; x < xend; x += SYN_STRIDE, y += SYN_STRIDE) { 1163 Q_SYNDROME(SYN_QR_X, x); 1164 R_SYNDROME(SYN_QR_X, y); 1165 } 1166 } 1167 1168 1169 /* 1170 * Reconstruct data using QR parity and QR syndromes 1171 * 1172 * @tc syndrome/result columns 1173 * @tsize size of syndrome/result columns 1174 * @c parity columns 1175 * @mul array of multiplication constants 1176 */ 1177 static void 1178 raidz_rec_qr_abd(void **t, const size_t tsize, void **c, 1179 const unsigned *mul) 1180 { 1181 v_t *x = (v_t *)t[TARGET_X]; 1182 v_t *y = (v_t *)t[TARGET_Y]; 1183 const v_t * const xend = x + (tsize / sizeof (v_t)); 1184 const v_t *p = (v_t *)c[CODE_P]; 1185 const v_t *q = (v_t *)c[CODE_Q]; 1186 1187 REC_QR_DEFINE(); 1188 1189 for (; x < xend; x += REC_QR_STRIDE, y += REC_QR_STRIDE, 1190 p += REC_QR_STRIDE, q += REC_QR_STRIDE) { 1191 LOAD(x, REC_QR_X); 1192 LOAD(y, REC_QR_Y); 1193 1194 XOR_ACC(p, REC_QR_X); 1195 XOR_ACC(q, REC_QR_Y); 1196 1197 /* Save Pxy */ 1198 COPY(REC_QR_X, REC_QR_T); 1199 1200 /* Calc X */ 1201 MUL(mul[MUL_QR_XQ], REC_QR_X); /* X = Q * xqm */ 1202 XOR(REC_QR_Y, REC_QR_X); /* X = R ^ X */ 1203 MUL(mul[MUL_QR_X], REC_QR_X); /* X = X * xm */ 1204 STORE(x, REC_QR_X); 1205 1206 /* Calc Y */ 1207 MUL(mul[MUL_QR_YQ], REC_QR_T); /* X = Q * xqm */ 1208 XOR(REC_QR_Y, REC_QR_T); /* X = R ^ X */ 1209 MUL(mul[MUL_QR_Y], REC_QR_T); /* X = X * xm */ 1210 STORE(y, REC_QR_T); 1211 } 1212 } 1213 1214 1215 /* 1216 * Reconstruct two data columns using QR parity 1217 * 1218 * @syn_method raidz_syn_qr_abd() 1219 * @rec_method raidz_rec_qr_abd() 1220 * 1221 * @rr RAIDZ row 1222 * @tgtidx array of missing data indexes 1223 */ 1224 static raidz_inline int 1225 raidz_reconstruct_qr_impl(raidz_row_t *rr, const int *tgtidx) 1226 { 1227 size_t c; 1228 size_t dsize; 1229 abd_t *dabd; 1230 const size_t firstdc = rr->rr_firstdatacol; 1231 const size_t ncols = rr->rr_cols; 1232 const size_t x = tgtidx[TARGET_X]; 1233 const size_t y = tgtidx[TARGET_Y]; 1234 const size_t xsize = rr->rr_col[x].rc_size; 1235 const size_t ysize = rr->rr_col[y].rc_size; 1236 abd_t *xabd = rr->rr_col[x].rc_abd; 1237 abd_t *yabd = rr->rr_col[y].rc_abd; 1238 abd_t *tabds[2] = { xabd, yabd }; 1239 abd_t *cabds[] = { 1240 rr->rr_col[CODE_Q].rc_abd, 1241 rr->rr_col[CODE_R].rc_abd 1242 }; 1243 1244 if (xabd == NULL) 1245 return ((1 << CODE_Q) | (1 << CODE_R)); 1246 1247 unsigned coeff[MUL_CNT]; 1248 raidz_rec_qr_coeff(rr, tgtidx, coeff); 1249 1250 /* 1251 * Check if some of targets is shorter then others 1252 * In this case, shorter target needs to be replaced with 1253 * new buffer so that syndrome can be calculated. 1254 */ 1255 if (ysize < xsize) { 1256 yabd = abd_alloc(xsize, B_FALSE); 1257 tabds[1] = yabd; 1258 } 1259 1260 raidz_math_begin(); 1261 1262 /* Start with first data column if present */ 1263 if (firstdc != x) { 1264 raidz_copy(xabd, rr->rr_col[firstdc].rc_abd, xsize); 1265 raidz_copy(yabd, rr->rr_col[firstdc].rc_abd, xsize); 1266 } else { 1267 raidz_zero(xabd, xsize); 1268 raidz_zero(yabd, xsize); 1269 } 1270 1271 /* generate q_syndrome */ 1272 for (c = firstdc+1; c < ncols; c++) { 1273 if (c == x || c == y) { 1274 dabd = NULL; 1275 dsize = 0; 1276 } else { 1277 dabd = rr->rr_col[c].rc_abd; 1278 dsize = rr->rr_col[c].rc_size; 1279 } 1280 1281 abd_raidz_gen_iterate(tabds, dabd, xsize, dsize, 2, 1282 raidz_syn_qr_abd); 1283 } 1284 1285 abd_raidz_rec_iterate(cabds, tabds, xsize, 2, raidz_rec_qr_abd, coeff); 1286 1287 /* 1288 * Copy shorter targets back to the original abd buffer 1289 */ 1290 if (ysize < xsize) 1291 raidz_copy(rr->rr_col[y].rc_abd, yabd, ysize); 1292 1293 raidz_math_end(); 1294 1295 if (ysize < xsize) 1296 abd_free(yabd); 1297 1298 1299 return ((1 << CODE_Q) | (1 << CODE_R)); 1300 } 1301 1302 1303 /* 1304 * Generate P, Q, and R syndromes 1305 * 1306 * @xc array of pointers to syndrome columns 1307 * @dc data column (NULL if missing) 1308 * @tsize size of syndrome columns 1309 * @dsize size of data column (0 if missing) 1310 */ 1311 static void 1312 raidz_syn_pqr_abd(void **c, const void *dc, const size_t tsize, 1313 const size_t dsize) 1314 { 1315 v_t *x = (v_t *)c[TARGET_X]; 1316 v_t *y = (v_t *)c[TARGET_Y]; 1317 v_t *z = (v_t *)c[TARGET_Z]; 1318 const v_t * const yend = y + (tsize / sizeof (v_t)); 1319 const v_t *d = (const v_t *)dc; 1320 const v_t * const dend = d + (dsize / sizeof (v_t)); 1321 1322 SYN_PQR_DEFINE(); 1323 1324 MUL2_SETUP(); 1325 1326 for (; d < dend; d += SYN_STRIDE, x += SYN_STRIDE, y += SYN_STRIDE, 1327 z += SYN_STRIDE) { 1328 LOAD(d, SYN_PQR_D); 1329 P_D_SYNDROME(SYN_PQR_D, SYN_PQR_X, x) 1330 Q_D_SYNDROME(SYN_PQR_D, SYN_PQR_X, y); 1331 R_D_SYNDROME(SYN_PQR_D, SYN_PQR_X, z); 1332 } 1333 for (; y < yend; y += SYN_STRIDE, z += SYN_STRIDE) { 1334 Q_SYNDROME(SYN_PQR_X, y); 1335 R_SYNDROME(SYN_PQR_X, z); 1336 } 1337 } 1338 1339 1340 /* 1341 * Reconstruct data using PRQ parity and PQR syndromes 1342 * 1343 * @tc syndrome/result columns 1344 * @tsize size of syndrome/result columns 1345 * @c parity columns 1346 * @mul array of multiplication constants 1347 */ 1348 static void 1349 raidz_rec_pqr_abd(void **t, const size_t tsize, void **c, 1350 const unsigned * const mul) 1351 { 1352 v_t *x = (v_t *)t[TARGET_X]; 1353 v_t *y = (v_t *)t[TARGET_Y]; 1354 v_t *z = (v_t *)t[TARGET_Z]; 1355 const v_t * const xend = x + (tsize / sizeof (v_t)); 1356 const v_t *p = (v_t *)c[CODE_P]; 1357 const v_t *q = (v_t *)c[CODE_Q]; 1358 const v_t *r = (v_t *)c[CODE_R]; 1359 1360 REC_PQR_DEFINE(); 1361 1362 for (; x < xend; x += REC_PQR_STRIDE, y += REC_PQR_STRIDE, 1363 z += REC_PQR_STRIDE, p += REC_PQR_STRIDE, q += REC_PQR_STRIDE, 1364 r += REC_PQR_STRIDE) { 1365 LOAD(x, REC_PQR_X); 1366 LOAD(y, REC_PQR_Y); 1367 LOAD(z, REC_PQR_Z); 1368 1369 XOR_ACC(p, REC_PQR_X); 1370 XOR_ACC(q, REC_PQR_Y); 1371 XOR_ACC(r, REC_PQR_Z); 1372 1373 /* Save Pxyz and Qxyz */ 1374 COPY(REC_PQR_X, REC_PQR_XS); 1375 COPY(REC_PQR_Y, REC_PQR_YS); 1376 1377 /* Calc X */ 1378 MUL(mul[MUL_PQR_XP], REC_PQR_X); /* Xp = Pxyz * xp */ 1379 MUL(mul[MUL_PQR_XQ], REC_PQR_Y); /* Xq = Qxyz * xq */ 1380 XOR(REC_PQR_Y, REC_PQR_X); 1381 MUL(mul[MUL_PQR_XR], REC_PQR_Z); /* Xr = Rxyz * xr */ 1382 XOR(REC_PQR_Z, REC_PQR_X); /* X = Xp + Xq + Xr */ 1383 STORE(x, REC_PQR_X); 1384 1385 /* Calc Y */ 1386 XOR(REC_PQR_X, REC_PQR_XS); /* Pyz = Pxyz + X */ 1387 MUL(mul[MUL_PQR_YU], REC_PQR_X); /* Xq = X * upd_q */ 1388 XOR(REC_PQR_X, REC_PQR_YS); /* Qyz = Qxyz + Xq */ 1389 COPY(REC_PQR_XS, REC_PQR_X); /* restore Pyz */ 1390 MUL(mul[MUL_PQR_YP], REC_PQR_X); /* Yp = Pyz * yp */ 1391 MUL(mul[MUL_PQR_YQ], REC_PQR_YS); /* Yq = Qyz * yq */ 1392 XOR(REC_PQR_X, REC_PQR_YS); /* Y = Yp + Yq */ 1393 STORE(y, REC_PQR_YS); 1394 1395 /* Calc Z */ 1396 XOR(REC_PQR_XS, REC_PQR_YS); /* Z = Pz = Pyz + Y */ 1397 STORE(z, REC_PQR_YS); 1398 } 1399 } 1400 1401 1402 /* 1403 * Reconstruct three data columns using PQR parity 1404 * 1405 * @syn_method raidz_syn_pqr_abd() 1406 * @rec_method raidz_rec_pqr_abd() 1407 * 1408 * @rr RAIDZ row 1409 * @tgtidx array of missing data indexes 1410 */ 1411 static raidz_inline int 1412 raidz_reconstruct_pqr_impl(raidz_row_t *rr, const int *tgtidx) 1413 { 1414 size_t c; 1415 size_t dsize; 1416 abd_t *dabd; 1417 const size_t firstdc = rr->rr_firstdatacol; 1418 const size_t ncols = rr->rr_cols; 1419 const size_t x = tgtidx[TARGET_X]; 1420 const size_t y = tgtidx[TARGET_Y]; 1421 const size_t z = tgtidx[TARGET_Z]; 1422 const size_t xsize = rr->rr_col[x].rc_size; 1423 const size_t ysize = rr->rr_col[y].rc_size; 1424 const size_t zsize = rr->rr_col[z].rc_size; 1425 abd_t *xabd = rr->rr_col[x].rc_abd; 1426 abd_t *yabd = rr->rr_col[y].rc_abd; 1427 abd_t *zabd = rr->rr_col[z].rc_abd; 1428 abd_t *tabds[] = { xabd, yabd, zabd }; 1429 abd_t *cabds[] = { 1430 rr->rr_col[CODE_P].rc_abd, 1431 rr->rr_col[CODE_Q].rc_abd, 1432 rr->rr_col[CODE_R].rc_abd 1433 }; 1434 1435 if (xabd == NULL) 1436 return ((1 << CODE_P) | (1 << CODE_Q) | (1 << CODE_R)); 1437 1438 unsigned coeff[MUL_CNT]; 1439 raidz_rec_pqr_coeff(rr, tgtidx, coeff); 1440 1441 /* 1442 * Check if some of targets is shorter then others 1443 * In this case, shorter target needs to be replaced with 1444 * new buffer so that syndrome can be calculated. 1445 */ 1446 if (ysize < xsize) { 1447 yabd = abd_alloc(xsize, B_FALSE); 1448 tabds[1] = yabd; 1449 } 1450 if (zsize < xsize) { 1451 zabd = abd_alloc(xsize, B_FALSE); 1452 tabds[2] = zabd; 1453 } 1454 1455 raidz_math_begin(); 1456 1457 /* Start with first data column if present */ 1458 if (firstdc != x) { 1459 raidz_copy(xabd, rr->rr_col[firstdc].rc_abd, xsize); 1460 raidz_copy(yabd, rr->rr_col[firstdc].rc_abd, xsize); 1461 raidz_copy(zabd, rr->rr_col[firstdc].rc_abd, xsize); 1462 } else { 1463 raidz_zero(xabd, xsize); 1464 raidz_zero(yabd, xsize); 1465 raidz_zero(zabd, xsize); 1466 } 1467 1468 /* generate q_syndrome */ 1469 for (c = firstdc+1; c < ncols; c++) { 1470 if (c == x || c == y || c == z) { 1471 dabd = NULL; 1472 dsize = 0; 1473 } else { 1474 dabd = rr->rr_col[c].rc_abd; 1475 dsize = rr->rr_col[c].rc_size; 1476 } 1477 1478 abd_raidz_gen_iterate(tabds, dabd, xsize, dsize, 3, 1479 raidz_syn_pqr_abd); 1480 } 1481 1482 abd_raidz_rec_iterate(cabds, tabds, xsize, 3, raidz_rec_pqr_abd, coeff); 1483 1484 /* 1485 * Copy shorter targets back to the original abd buffer 1486 */ 1487 if (ysize < xsize) 1488 raidz_copy(rr->rr_col[y].rc_abd, yabd, ysize); 1489 if (zsize < xsize) 1490 raidz_copy(rr->rr_col[z].rc_abd, zabd, zsize); 1491 1492 raidz_math_end(); 1493 1494 if (ysize < xsize) 1495 abd_free(yabd); 1496 if (zsize < xsize) 1497 abd_free(zabd); 1498 1499 return ((1 << CODE_P) | (1 << CODE_Q) | (1 << CODE_R)); 1500 } 1501 1502 #endif /* _VDEV_RAIDZ_MATH_IMPL_H */ 1503