1478 lines
34 KiB
C
1478 lines
34 KiB
C
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/*
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* CDDL HEADER START
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*
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* The contents of this file are subject to the terms of the
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* Common Development and Distribution License (the "License").
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* You may not use this file except in compliance with the License.
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*
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* You can obtain a copy of the license at usr/src/OPENSOLARIS.LICENSE
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* or http://www.opensolaris.org/os/licensing.
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* See the License for the specific language governing permissions
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* and limitations under the License.
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*
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* When distributing Covered Code, include this CDDL HEADER in each
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* file and include the License file at usr/src/OPENSOLARIS.LICENSE.
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* If applicable, add the following below this CDDL HEADER, with the
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* fields enclosed by brackets "[]" replaced with your own identifying
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* information: Portions Copyright [yyyy] [name of copyright owner]
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*
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* CDDL HEADER END
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*/
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/*
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* Copyright (C) 2016 Gvozden Nešković. All rights reserved.
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*/
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#ifndef _VDEV_RAIDZ_MATH_IMPL_H
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#define _VDEV_RAIDZ_MATH_IMPL_H
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#include <sys/types.h>
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#define raidz_inline inline __attribute__((always_inline))
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#ifndef noinline
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#define noinline __attribute__((noinline))
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#endif
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/*
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* Functions calculate multiplication constants for data reconstruction.
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* Coefficients depend on RAIDZ geometry, indexes of failed child vdevs, and
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* used parity columns for reconstruction.
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* @rm RAIDZ map
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* @tgtidx array of missing data indexes
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* @coeff output array of coefficients. Array must be provided by
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* user and must hold minimum MUL_CNT values.
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*/
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static noinline void
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raidz_rec_q_coeff(const raidz_map_t *rm, const int *tgtidx, unsigned *coeff)
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{
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const unsigned ncols = raidz_ncols(rm);
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const unsigned x = tgtidx[TARGET_X];
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coeff[MUL_Q_X] = gf_exp2(255 - (ncols - x - 1));
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}
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static noinline void
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raidz_rec_r_coeff(const raidz_map_t *rm, const int *tgtidx, unsigned *coeff)
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{
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const unsigned ncols = raidz_ncols(rm);
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const unsigned x = tgtidx[TARGET_X];
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coeff[MUL_R_X] = gf_exp4(255 - (ncols - x - 1));
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}
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static noinline void
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raidz_rec_pq_coeff(const raidz_map_t *rm, const int *tgtidx, unsigned *coeff)
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{
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const unsigned ncols = raidz_ncols(rm);
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const unsigned x = tgtidx[TARGET_X];
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const unsigned y = tgtidx[TARGET_Y];
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gf_t a, b, e;
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a = gf_exp2(x + 255 - y);
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b = gf_exp2(255 - (ncols - x - 1));
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e = a ^ 0x01;
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coeff[MUL_PQ_X] = gf_div(a, e);
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coeff[MUL_PQ_Y] = gf_div(b, e);
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}
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static noinline void
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raidz_rec_pr_coeff(const raidz_map_t *rm, const int *tgtidx, unsigned *coeff)
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{
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const unsigned ncols = raidz_ncols(rm);
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const unsigned x = tgtidx[TARGET_X];
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const unsigned y = tgtidx[TARGET_Y];
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gf_t a, b, e;
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a = gf_exp4(x + 255 - y);
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b = gf_exp4(255 - (ncols - x - 1));
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e = a ^ 0x01;
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coeff[MUL_PR_X] = gf_div(a, e);
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coeff[MUL_PR_Y] = gf_div(b, e);
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}
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static noinline void
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raidz_rec_qr_coeff(const raidz_map_t *rm, const int *tgtidx, unsigned *coeff)
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{
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const unsigned ncols = raidz_ncols(rm);
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const unsigned x = tgtidx[TARGET_X];
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const unsigned y = tgtidx[TARGET_Y];
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gf_t nx, ny, nxxy, nxyy, d;
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nx = gf_exp2(ncols - x - 1);
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ny = gf_exp2(ncols - y - 1);
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nxxy = gf_mul(gf_mul(nx, nx), ny);
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nxyy = gf_mul(gf_mul(nx, ny), ny);
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d = nxxy ^ nxyy;
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coeff[MUL_QR_XQ] = ny;
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coeff[MUL_QR_X] = gf_div(ny, d);
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coeff[MUL_QR_YQ] = nx;
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coeff[MUL_QR_Y] = gf_div(nx, d);
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}
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static noinline void
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raidz_rec_pqr_coeff(const raidz_map_t *rm, const int *tgtidx, unsigned *coeff)
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{
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const unsigned ncols = raidz_ncols(rm);
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const unsigned x = tgtidx[TARGET_X];
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const unsigned y = tgtidx[TARGET_Y];
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const unsigned z = tgtidx[TARGET_Z];
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gf_t nx, ny, nz, nxx, nyy, nzz, nyyz, nyzz, xd, yd;
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nx = gf_exp2(ncols - x - 1);
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ny = gf_exp2(ncols - y - 1);
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nz = gf_exp2(ncols - z - 1);
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nxx = gf_exp4(ncols - x - 1);
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nyy = gf_exp4(ncols - y - 1);
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nzz = gf_exp4(ncols - z - 1);
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nyyz = gf_mul(gf_mul(ny, nz), ny);
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nyzz = gf_mul(nzz, ny);
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xd = gf_mul(nxx, ny) ^ gf_mul(nx, nyy) ^ nyyz ^
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gf_mul(nxx, nz) ^ gf_mul(nzz, nx) ^ nyzz;
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yd = gf_inv(ny ^ nz);
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coeff[MUL_PQR_XP] = gf_div(nyyz ^ nyzz, xd);
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coeff[MUL_PQR_XQ] = gf_div(nyy ^ nzz, xd);
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coeff[MUL_PQR_XR] = gf_div(ny ^ nz, xd);
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coeff[MUL_PQR_YU] = nx;
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coeff[MUL_PQR_YP] = gf_mul(nz, yd);
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coeff[MUL_PQR_YQ] = yd;
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}
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/*
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* Method for zeroing a buffer (can be implemented using SIMD).
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* This method is used by multiple for gen/rec functions.
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*
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* @dc Destination buffer
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* @dsize Destination buffer size
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* @private Unused
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*/
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static int
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raidz_zero_abd_cb(void *dc, size_t dsize, void *private)
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{
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v_t *dst = (v_t *)dc;
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size_t i;
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ZERO_DEFINE();
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(void) private; /* unused */
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ZERO(ZERO_D);
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for (i = 0; i < dsize / sizeof (v_t); i += (2 * ZERO_STRIDE)) {
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STORE(dst + i, ZERO_D);
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STORE(dst + i + ZERO_STRIDE, ZERO_D);
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}
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return (0);
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}
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#define raidz_zero(dabd, size) \
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{ \
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abd_iterate_func(dabd, 0, size, raidz_zero_abd_cb, NULL); \
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}
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/*
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* Method for copying two buffers (can be implemented using SIMD).
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* This method is used by multiple for gen/rec functions.
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*
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* @dc Destination buffer
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* @sc Source buffer
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* @dsize Destination buffer size
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* @ssize Source buffer size
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* @private Unused
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*/
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static int
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raidz_copy_abd_cb(void *dc, void *sc, size_t size, void *private)
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{
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v_t *dst = (v_t *)dc;
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const v_t *src = (v_t *)sc;
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size_t i;
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COPY_DEFINE();
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(void) private; /* unused */
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for (i = 0; i < size / sizeof (v_t); i += (2 * COPY_STRIDE)) {
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LOAD(src + i, COPY_D);
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STORE(dst + i, COPY_D);
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LOAD(src + i + COPY_STRIDE, COPY_D);
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STORE(dst + i + COPY_STRIDE, COPY_D);
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}
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return (0);
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}
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#define raidz_copy(dabd, sabd, size) \
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{ \
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abd_iterate_func2(dabd, sabd, 0, 0, size, raidz_copy_abd_cb, NULL);\
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}
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/*
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* Method for adding (XORing) two buffers.
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* Source and destination are XORed together and result is stored in
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* destination buffer. This method is used by multiple for gen/rec functions.
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*
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* @dc Destination buffer
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* @sc Source buffer
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* @dsize Destination buffer size
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* @ssize Source buffer size
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* @private Unused
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*/
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static int
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raidz_add_abd_cb(void *dc, void *sc, size_t size, void *private)
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{
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v_t *dst = (v_t *)dc;
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const v_t *src = (v_t *)sc;
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size_t i;
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ADD_DEFINE();
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(void) private; /* unused */
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for (i = 0; i < size / sizeof (v_t); i += (2 * ADD_STRIDE)) {
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LOAD(dst + i, ADD_D);
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XOR_ACC(src + i, ADD_D);
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STORE(dst + i, ADD_D);
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LOAD(dst + i + ADD_STRIDE, ADD_D);
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XOR_ACC(src + i + ADD_STRIDE, ADD_D);
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STORE(dst + i + ADD_STRIDE, ADD_D);
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}
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return (0);
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}
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#define raidz_add(dabd, sabd, size) \
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{ \
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abd_iterate_func2(dabd, sabd, 0, 0, size, raidz_add_abd_cb, NULL);\
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}
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/*
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* Method for multiplying a buffer with a constant in GF(2^8).
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* Symbols from buffer are multiplied by a constant and result is stored
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* back in the same buffer.
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*
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* @dc In/Out data buffer.
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* @size Size of the buffer
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* @private pointer to the multiplication constant (unsigned)
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*/
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static int
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raidz_mul_abd_cb(void *dc, size_t size, void *private)
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{
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const unsigned mul = *((unsigned *)private);
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v_t *d = (v_t *)dc;
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size_t i;
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MUL_DEFINE();
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for (i = 0; i < size / sizeof (v_t); i += (2 * MUL_STRIDE)) {
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LOAD(d + i, MUL_D);
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MUL(mul, MUL_D);
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STORE(d + i, MUL_D);
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LOAD(d + i + MUL_STRIDE, MUL_D);
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MUL(mul, MUL_D);
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STORE(d + i + MUL_STRIDE, MUL_D);
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}
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return (0);
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}
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/*
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* Syndrome generation/update macros
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*
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* Require LOAD(), XOR(), STORE(), MUL2(), and MUL4() macros
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*/
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#define P_D_SYNDROME(D, T, t) \
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{ \
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LOAD((t), T); \
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XOR(D, T); \
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STORE((t), T); \
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}
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#define Q_D_SYNDROME(D, T, t) \
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{ \
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LOAD((t), T); \
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MUL2(T); \
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XOR(D, T); \
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STORE((t), T); \
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}
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#define Q_SYNDROME(T, t) \
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{ \
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LOAD((t), T); \
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MUL2(T); \
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STORE((t), T); \
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}
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#define R_D_SYNDROME(D, T, t) \
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{ \
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LOAD((t), T); \
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MUL4(T); \
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XOR(D, T); \
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STORE((t), T); \
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}
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#define R_SYNDROME(T, t) \
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{ \
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LOAD((t), T); \
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MUL4(T); \
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STORE((t), T); \
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}
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/*
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* PARITY CALCULATION
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*
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* Macros *_SYNDROME are used for parity/syndrome calculation.
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* *_D_SYNDROME() macros are used to calculate syndrome between 0 and
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* length of data column, and *_SYNDROME() macros are only for updating
|
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* the parity/syndrome if data column is shorter.
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*
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* P parity is calculated using raidz_add_abd().
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*/
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/*
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* Generate P parity (RAIDZ1)
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*
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* @rm RAIDZ map
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*/
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static raidz_inline void
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||
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raidz_generate_p_impl(raidz_map_t * const rm)
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{
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size_t c;
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const size_t ncols = raidz_ncols(rm);
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const size_t psize = rm->rm_col[CODE_P].rc_size;
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abd_t *pabd = rm->rm_col[CODE_P].rc_abd;
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size_t size;
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abd_t *dabd;
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raidz_math_begin();
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/* start with first data column */
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raidz_copy(pabd, rm->rm_col[1].rc_abd, psize);
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for (c = 2; c < ncols; c++) {
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|
|
dabd = rm->rm_col[c].rc_abd;
|
||
|
|
size = rm->rm_col[c].rc_size;
|
||
|
|
|
||
|
|
/* add data column */
|
||
|
|
raidz_add(pabd, dabd, size);
|
||
|
|
}
|
||
|
|
|
||
|
|
raidz_math_end();
|
||
|
|
}
|
||
|
|
|
||
|
|
|
||
|
|
/*
|
||
|
|
* Generate PQ parity (RAIDZ2)
|
||
|
|
* The function is called per data column.
|
||
|
|
*
|
||
|
|
* @c array of pointers to parity (code) columns
|
||
|
|
* @dc pointer to data column
|
||
|
|
* @csize size of parity columns
|
||
|
|
* @dsize size of data column
|
||
|
|
*/
|
||
|
|
static void
|
||
|
|
raidz_gen_pq_add(void **c, const void *dc, const size_t csize,
|
||
|
|
const size_t dsize)
|
||
|
|
{
|
||
|
|
v_t *p = (v_t *)c[0];
|
||
|
|
v_t *q = (v_t *)c[1];
|
||
|
|
const v_t *d = (v_t *)dc;
|
||
|
|
const v_t * const dend = d + (dsize / sizeof (v_t));
|
||
|
|
const v_t * const qend = q + (csize / sizeof (v_t));
|
||
|
|
|
||
|
|
GEN_PQ_DEFINE();
|
||
|
|
|
||
|
|
MUL2_SETUP();
|
||
|
|
|
||
|
|
for (; d < dend; d += GEN_PQ_STRIDE, p += GEN_PQ_STRIDE,
|
||
|
|
q += GEN_PQ_STRIDE) {
|
||
|
|
LOAD(d, GEN_PQ_D);
|
||
|
|
P_D_SYNDROME(GEN_PQ_D, GEN_PQ_C, p);
|
||
|
|
Q_D_SYNDROME(GEN_PQ_D, GEN_PQ_C, q);
|
||
|
|
}
|
||
|
|
for (; q < qend; q += GEN_PQ_STRIDE) {
|
||
|
|
Q_SYNDROME(GEN_PQ_C, q);
|
||
|
|
}
|
||
|
|
}
|
||
|
|
|
||
|
|
|
||
|
|
/*
|
||
|
|
* Generate PQ parity (RAIDZ2)
|
||
|
|
*
|
||
|
|
* @rm RAIDZ map
|
||
|
|
*/
|
||
|
|
static raidz_inline void
|
||
|
|
raidz_generate_pq_impl(raidz_map_t * const rm)
|
||
|
|
{
|
||
|
|
size_t c;
|
||
|
|
const size_t ncols = raidz_ncols(rm);
|
||
|
|
const size_t csize = rm->rm_col[CODE_P].rc_size;
|
||
|
|
size_t dsize;
|
||
|
|
abd_t *dabd;
|
||
|
|
abd_t *cabds[] = {
|
||
|
|
rm->rm_col[CODE_P].rc_abd,
|
||
|
|
rm->rm_col[CODE_Q].rc_abd
|
||
|
|
};
|
||
|
|
|
||
|
|
raidz_math_begin();
|
||
|
|
|
||
|
|
raidz_copy(cabds[CODE_P], rm->rm_col[2].rc_abd, csize);
|
||
|
|
raidz_copy(cabds[CODE_Q], rm->rm_col[2].rc_abd, csize);
|
||
|
|
|
||
|
|
for (c = 3; c < ncols; c++) {
|
||
|
|
dabd = rm->rm_col[c].rc_abd;
|
||
|
|
dsize = rm->rm_col[c].rc_size;
|
||
|
|
|
||
|
|
abd_raidz_gen_iterate(cabds, dabd, csize, dsize, 2,
|
||
|
|
raidz_gen_pq_add);
|
||
|
|
}
|
||
|
|
|
||
|
|
raidz_math_end();
|
||
|
|
}
|
||
|
|
|
||
|
|
|
||
|
|
/*
|
||
|
|
* Generate PQR parity (RAIDZ3)
|
||
|
|
* The function is called per data column.
|
||
|
|
*
|
||
|
|
* @c array of pointers to parity (code) columns
|
||
|
|
* @dc pointer to data column
|
||
|
|
* @csize size of parity columns
|
||
|
|
* @dsize size of data column
|
||
|
|
*/
|
||
|
|
static void
|
||
|
|
raidz_gen_pqr_add(void **c, const void *dc, const size_t csize,
|
||
|
|
const size_t dsize)
|
||
|
|
{
|
||
|
|
v_t *p = (v_t *)c[0];
|
||
|
|
v_t *q = (v_t *)c[1];
|
||
|
|
v_t *r = (v_t *)c[CODE_R];
|
||
|
|
const v_t *d = (v_t *)dc;
|
||
|
|
const v_t * const dend = d + (dsize / sizeof (v_t));
|
||
|
|
const v_t * const qend = q + (csize / sizeof (v_t));
|
||
|
|
|
||
|
|
GEN_PQR_DEFINE();
|
||
|
|
|
||
|
|
MUL2_SETUP();
|
||
|
|
|
||
|
|
for (; d < dend; d += GEN_PQR_STRIDE, p += GEN_PQR_STRIDE,
|
||
|
|
q += GEN_PQR_STRIDE, r += GEN_PQR_STRIDE) {
|
||
|
|
LOAD(d, GEN_PQR_D);
|
||
|
|
P_D_SYNDROME(GEN_PQR_D, GEN_PQR_C, p);
|
||
|
|
Q_D_SYNDROME(GEN_PQR_D, GEN_PQR_C, q);
|
||
|
|
R_D_SYNDROME(GEN_PQR_D, GEN_PQR_C, r);
|
||
|
|
}
|
||
|
|
for (; q < qend; q += GEN_PQR_STRIDE, r += GEN_PQR_STRIDE) {
|
||
|
|
Q_SYNDROME(GEN_PQR_C, q);
|
||
|
|
R_SYNDROME(GEN_PQR_C, r);
|
||
|
|
}
|
||
|
|
}
|
||
|
|
|
||
|
|
|
||
|
|
/*
|
||
|
|
* Generate PQR parity (RAIDZ2)
|
||
|
|
*
|
||
|
|
* @rm RAIDZ map
|
||
|
|
*/
|
||
|
|
static raidz_inline void
|
||
|
|
raidz_generate_pqr_impl(raidz_map_t * const rm)
|
||
|
|
{
|
||
|
|
size_t c;
|
||
|
|
const size_t ncols = raidz_ncols(rm);
|
||
|
|
const size_t csize = rm->rm_col[CODE_P].rc_size;
|
||
|
|
size_t dsize;
|
||
|
|
abd_t *dabd;
|
||
|
|
abd_t *cabds[] = {
|
||
|
|
rm->rm_col[CODE_P].rc_abd,
|
||
|
|
rm->rm_col[CODE_Q].rc_abd,
|
||
|
|
rm->rm_col[CODE_R].rc_abd
|
||
|
|
};
|
||
|
|
|
||
|
|
raidz_math_begin();
|
||
|
|
|
||
|
|
raidz_copy(cabds[CODE_P], rm->rm_col[3].rc_abd, csize);
|
||
|
|
raidz_copy(cabds[CODE_Q], rm->rm_col[3].rc_abd, csize);
|
||
|
|
raidz_copy(cabds[CODE_R], rm->rm_col[3].rc_abd, csize);
|
||
|
|
|
||
|
|
for (c = 4; c < ncols; c++) {
|
||
|
|
dabd = rm->rm_col[c].rc_abd;
|
||
|
|
dsize = rm->rm_col[c].rc_size;
|
||
|
|
|
||
|
|
abd_raidz_gen_iterate(cabds, dabd, csize, dsize, 3,
|
||
|
|
raidz_gen_pqr_add);
|
||
|
|
}
|
||
|
|
|
||
|
|
raidz_math_end();
|
||
|
|
}
|
||
|
|
|
||
|
|
|
||
|
|
/*
|
||
|
|
* DATA RECONSTRUCTION
|
||
|
|
*
|
||
|
|
* Data reconstruction process consists of two phases:
|
||
|
|
* - Syndrome calculation
|
||
|
|
* - Data reconstruction
|
||
|
|
*
|
||
|
|
* Syndrome is calculated by generating parity using available data columns
|
||
|
|
* and zeros in places of erasure. Existing parity is added to corresponding
|
||
|
|
* syndrome value to obtain the [P|Q|R]syn values from equation:
|
||
|
|
* P = Psyn + Dx + Dy + Dz
|
||
|
|
* Q = Qsyn + 2^x * Dx + 2^y * Dy + 2^z * Dz
|
||
|
|
* R = Rsyn + 4^x * Dx + 4^y * Dy + 4^z * Dz
|
||
|
|
*
|
||
|
|
* For data reconstruction phase, the corresponding equations are solved
|
||
|
|
* for missing data (Dx, Dy, Dz). This generally involves multiplying known
|
||
|
|
* symbols by an coefficient and adding them together. The multiplication
|
||
|
|
* constant coefficients are calculated ahead of the operation in
|
||
|
|
* raidz_rec_[q|r|pq|pq|qr|pqr]_coeff() functions.
|
||
|
|
*
|
||
|
|
* IMPLEMENTATION NOTE: RAID-Z block can have complex geometry, with "big"
|
||
|
|
* and "short" columns.
|
||
|
|
* For this reason, reconstruction is performed in minimum of
|
||
|
|
* two steps. First, from offset 0 to short_size, then from short_size to
|
||
|
|
* short_size. Calculation functions REC_[*]_BLOCK() are implemented to work
|
||
|
|
* over both ranges. The split also enables removal of conditional expressions
|
||
|
|
* from loop bodies, improving throughput of SIMD implementations.
|
||
|
|
* For the best performance, all functions marked with raidz_inline attribute
|
||
|
|
* must be inlined by compiler.
|
||
|
|
*
|
||
|
|
* parity data
|
||
|
|
* columns columns
|
||
|
|
* <----------> <------------------>
|
||
|
|
* x y <----+ missing columns (x, y)
|
||
|
|
* | |
|
||
|
|
* +---+---+---+---+-v-+---+-v-+---+ ^ 0
|
||
|
|
* | | | | | | | | | |
|
||
|
|
* | | | | | | | | | |
|
||
|
|
* | P | Q | R | D | D | D | D | D | |
|
||
|
|
* | | | | 0 | 1 | 2 | 3 | 4 | |
|
||
|
|
* | | | | | | | | | v
|
||
|
|
* | | | | | +---+---+---+ ^ short_size
|
||
|
|
* | | | | | | |
|
||
|
|
* +---+---+---+---+---+ v big_size
|
||
|
|
* <------------------> <---------->
|
||
|
|
* big columns short columns
|
||
|
|
*
|
||
|
|
*/
|
||
|
|
|
||
|
|
|
||
|
|
|
||
|
|
|
||
|
|
/*
|
||
|
|
* Reconstruct single data column using P parity
|
||
|
|
*
|
||
|
|
* @syn_method raidz_add_abd()
|
||
|
|
* @rec_method not applicable
|
||
|
|
*
|
||
|
|
* @rm RAIDZ map
|
||
|
|
* @tgtidx array of missing data indexes
|
||
|
|
*/
|
||
|
|
static raidz_inline int
|
||
|
|
raidz_reconstruct_p_impl(raidz_map_t *rm, const int *tgtidx)
|
||
|
|
{
|
||
|
|
size_t c;
|
||
|
|
const size_t firstdc = raidz_parity(rm);
|
||
|
|
const size_t ncols = raidz_ncols(rm);
|
||
|
|
const size_t x = tgtidx[TARGET_X];
|
||
|
|
const size_t xsize = rm->rm_col[x].rc_size;
|
||
|
|
abd_t *xabd = rm->rm_col[x].rc_abd;
|
||
|
|
size_t size;
|
||
|
|
abd_t *dabd;
|
||
|
|
|
||
|
|
raidz_math_begin();
|
||
|
|
|
||
|
|
/* copy P into target */
|
||
|
|
raidz_copy(xabd, rm->rm_col[CODE_P].rc_abd, xsize);
|
||
|
|
|
||
|
|
/* generate p_syndrome */
|
||
|
|
for (c = firstdc; c < ncols; c++) {
|
||
|
|
if (c == x)
|
||
|
|
continue;
|
||
|
|
|
||
|
|
dabd = rm->rm_col[c].rc_abd;
|
||
|
|
size = MIN(rm->rm_col[c].rc_size, xsize);
|
||
|
|
|
||
|
|
raidz_add(xabd, dabd, size);
|
||
|
|
}
|
||
|
|
|
||
|
|
raidz_math_end();
|
||
|
|
|
||
|
|
return (1 << CODE_P);
|
||
|
|
}
|
||
|
|
|
||
|
|
|
||
|
|
/*
|
||
|
|
* Generate Q syndrome (Qsyn)
|
||
|
|
*
|
||
|
|
* @xc array of pointers to syndrome columns
|
||
|
|
* @dc data column (NULL if missing)
|
||
|
|
* @xsize size of syndrome columns
|
||
|
|
* @dsize size of data column (0 if missing)
|
||
|
|
*/
|
||
|
|
static void
|
||
|
|
raidz_syn_q_abd(void **xc, const void *dc, const size_t xsize,
|
||
|
|
const size_t dsize)
|
||
|
|
{
|
||
|
|
v_t *x = (v_t *)xc[TARGET_X];
|
||
|
|
const v_t *d = (v_t *)dc;
|
||
|
|
const v_t * const dend = d + (dsize / sizeof (v_t));
|
||
|
|
const v_t * const xend = x + (xsize / sizeof (v_t));
|
||
|
|
|
||
|
|
SYN_Q_DEFINE();
|
||
|
|
|
||
|
|
MUL2_SETUP();
|
||
|
|
|
||
|
|
for (; d < dend; d += SYN_STRIDE, x += SYN_STRIDE) {
|
||
|
|
LOAD(d, SYN_Q_D);
|
||
|
|
Q_D_SYNDROME(SYN_Q_D, SYN_Q_X, x);
|
||
|
|
}
|
||
|
|
for (; x < xend; x += SYN_STRIDE) {
|
||
|
|
Q_SYNDROME(SYN_Q_X, x);
|
||
|
|
}
|
||
|
|
}
|
||
|
|
|
||
|
|
|
||
|
|
/*
|
||
|
|
* Reconstruct single data column using Q parity
|
||
|
|
*
|
||
|
|
* @syn_method raidz_add_abd()
|
||
|
|
* @rec_method raidz_mul_abd_cb()
|
||
|
|
*
|
||
|
|
* @rm RAIDZ map
|
||
|
|
* @tgtidx array of missing data indexes
|
||
|
|
*/
|
||
|
|
static raidz_inline int
|
||
|
|
raidz_reconstruct_q_impl(raidz_map_t *rm, const int *tgtidx)
|
||
|
|
{
|
||
|
|
size_t c;
|
||
|
|
size_t dsize;
|
||
|
|
abd_t *dabd;
|
||
|
|
const size_t firstdc = raidz_parity(rm);
|
||
|
|
const size_t ncols = raidz_ncols(rm);
|
||
|
|
const size_t x = tgtidx[TARGET_X];
|
||
|
|
abd_t *xabd = rm->rm_col[x].rc_abd;
|
||
|
|
const size_t xsize = rm->rm_col[x].rc_size;
|
||
|
|
abd_t *tabds[] = { xabd };
|
||
|
|
|
||
|
|
unsigned coeff[MUL_CNT];
|
||
|
|
raidz_rec_q_coeff(rm, tgtidx, coeff);
|
||
|
|
|
||
|
|
raidz_math_begin();
|
||
|
|
|
||
|
|
/* Start with first data column if present */
|
||
|
|
if (firstdc != x) {
|
||
|
|
raidz_copy(xabd, rm->rm_col[firstdc].rc_abd, xsize);
|
||
|
|
} else {
|
||
|
|
raidz_zero(xabd, xsize);
|
||
|
|
}
|
||
|
|
|
||
|
|
/* generate q_syndrome */
|
||
|
|
for (c = firstdc+1; c < ncols; c++) {
|
||
|
|
if (c == x) {
|
||
|
|
dabd = NULL;
|
||
|
|
dsize = 0;
|
||
|
|
} else {
|
||
|
|
dabd = rm->rm_col[c].rc_abd;
|
||
|
|
dsize = rm->rm_col[c].rc_size;
|
||
|
|
}
|
||
|
|
|
||
|
|
abd_raidz_gen_iterate(tabds, dabd, xsize, dsize, 1,
|
||
|
|
raidz_syn_q_abd);
|
||
|
|
}
|
||
|
|
|
||
|
|
/* add Q to the syndrome */
|
||
|
|
raidz_add(xabd, rm->rm_col[CODE_Q].rc_abd, xsize);
|
||
|
|
|
||
|
|
/* transform the syndrome */
|
||
|
|
abd_iterate_func(xabd, 0, xsize, raidz_mul_abd_cb, (void*) coeff);
|
||
|
|
|
||
|
|
raidz_math_end();
|
||
|
|
|
||
|
|
return (1 << CODE_Q);
|
||
|
|
}
|
||
|
|
|
||
|
|
|
||
|
|
/*
|
||
|
|
* Generate R syndrome (Rsyn)
|
||
|
|
*
|
||
|
|
* @xc array of pointers to syndrome columns
|
||
|
|
* @dc data column (NULL if missing)
|
||
|
|
* @tsize size of syndrome columns
|
||
|
|
* @dsize size of data column (0 if missing)
|
||
|
|
*/
|
||
|
|
static void
|
||
|
|
raidz_syn_r_abd(void **xc, const void *dc, const size_t tsize,
|
||
|
|
const size_t dsize)
|
||
|
|
{
|
||
|
|
v_t *x = (v_t *)xc[TARGET_X];
|
||
|
|
const v_t *d = (v_t *)dc;
|
||
|
|
const v_t * const dend = d + (dsize / sizeof (v_t));
|
||
|
|
const v_t * const xend = x + (tsize / sizeof (v_t));
|
||
|
|
|
||
|
|
SYN_R_DEFINE();
|
||
|
|
|
||
|
|
MUL2_SETUP();
|
||
|
|
|
||
|
|
for (; d < dend; d += SYN_STRIDE, x += SYN_STRIDE) {
|
||
|
|
LOAD(d, SYN_R_D);
|
||
|
|
R_D_SYNDROME(SYN_R_D, SYN_R_X, x);
|
||
|
|
}
|
||
|
|
for (; x < xend; x += SYN_STRIDE) {
|
||
|
|
R_SYNDROME(SYN_R_X, x);
|
||
|
|
}
|
||
|
|
}
|
||
|
|
|
||
|
|
|
||
|
|
/*
|
||
|
|
* Reconstruct single data column using R parity
|
||
|
|
*
|
||
|
|
* @syn_method raidz_add_abd()
|
||
|
|
* @rec_method raidz_mul_abd_cb()
|
||
|
|
*
|
||
|
|
* @rm RAIDZ map
|
||
|
|
* @tgtidx array of missing data indexes
|
||
|
|
*/
|
||
|
|
static raidz_inline int
|
||
|
|
raidz_reconstruct_r_impl(raidz_map_t *rm, const int *tgtidx)
|
||
|
|
{
|
||
|
|
size_t c;
|
||
|
|
size_t dsize;
|
||
|
|
abd_t *dabd;
|
||
|
|
const size_t firstdc = raidz_parity(rm);
|
||
|
|
const size_t ncols = raidz_ncols(rm);
|
||
|
|
const size_t x = tgtidx[TARGET_X];
|
||
|
|
const size_t xsize = rm->rm_col[x].rc_size;
|
||
|
|
abd_t *xabd = rm->rm_col[x].rc_abd;
|
||
|
|
abd_t *tabds[] = { xabd };
|
||
|
|
|
||
|
|
unsigned coeff[MUL_CNT];
|
||
|
|
raidz_rec_r_coeff(rm, tgtidx, coeff);
|
||
|
|
|
||
|
|
raidz_math_begin();
|
||
|
|
|
||
|
|
/* Start with first data column if present */
|
||
|
|
if (firstdc != x) {
|
||
|
|
raidz_copy(xabd, rm->rm_col[firstdc].rc_abd, xsize);
|
||
|
|
} else {
|
||
|
|
raidz_zero(xabd, xsize);
|
||
|
|
}
|
||
|
|
|
||
|
|
|
||
|
|
/* generate q_syndrome */
|
||
|
|
for (c = firstdc+1; c < ncols; c++) {
|
||
|
|
if (c == x) {
|
||
|
|
dabd = NULL;
|
||
|
|
dsize = 0;
|
||
|
|
} else {
|
||
|
|
dabd = rm->rm_col[c].rc_abd;
|
||
|
|
dsize = rm->rm_col[c].rc_size;
|
||
|
|
}
|
||
|
|
|
||
|
|
abd_raidz_gen_iterate(tabds, dabd, xsize, dsize, 1,
|
||
|
|
raidz_syn_r_abd);
|
||
|
|
}
|
||
|
|
|
||
|
|
/* add R to the syndrome */
|
||
|
|
raidz_add(xabd, rm->rm_col[CODE_R].rc_abd, xsize);
|
||
|
|
|
||
|
|
/* transform the syndrome */
|
||
|
|
abd_iterate_func(xabd, 0, xsize, raidz_mul_abd_cb, (void *)coeff);
|
||
|
|
|
||
|
|
raidz_math_end();
|
||
|
|
|
||
|
|
return (1 << CODE_R);
|
||
|
|
}
|
||
|
|
|
||
|
|
|
||
|
|
/*
|
||
|
|
* Generate P and Q syndromes
|
||
|
|
*
|
||
|
|
* @xc array of pointers to syndrome columns
|
||
|
|
* @dc data column (NULL if missing)
|
||
|
|
* @tsize size of syndrome columns
|
||
|
|
* @dsize size of data column (0 if missing)
|
||
|
|
*/
|
||
|
|
static void
|
||
|
|
raidz_syn_pq_abd(void **tc, const void *dc, const size_t tsize,
|
||
|
|
const size_t dsize)
|
||
|
|
{
|
||
|
|
v_t *x = (v_t *)tc[TARGET_X];
|
||
|
|
v_t *y = (v_t *)tc[TARGET_Y];
|
||
|
|
const v_t *d = (v_t *)dc;
|
||
|
|
const v_t * const dend = d + (dsize / sizeof (v_t));
|
||
|
|
const v_t * const yend = y + (tsize / sizeof (v_t));
|
||
|
|
|
||
|
|
SYN_PQ_DEFINE();
|
||
|
|
|
||
|
|
MUL2_SETUP();
|
||
|
|
|
||
|
|
for (; d < dend; d += SYN_STRIDE, x += SYN_STRIDE, y += SYN_STRIDE) {
|
||
|
|
LOAD(d, SYN_PQ_D);
|
||
|
|
P_D_SYNDROME(SYN_PQ_D, SYN_PQ_X, x);
|
||
|
|
Q_D_SYNDROME(SYN_PQ_D, SYN_PQ_X, y);
|
||
|
|
}
|
||
|
|
for (; y < yend; y += SYN_STRIDE) {
|
||
|
|
Q_SYNDROME(SYN_PQ_X, y);
|
||
|
|
}
|
||
|
|
}
|
||
|
|
|
||
|
|
/*
|
||
|
|
* Reconstruct data using PQ parity and PQ syndromes
|
||
|
|
*
|
||
|
|
* @tc syndrome/result columns
|
||
|
|
* @tsize size of syndrome/result columns
|
||
|
|
* @c parity columns
|
||
|
|
* @mul array of multiplication constants
|
||
|
|
*/
|
||
|
|
static void
|
||
|
|
raidz_rec_pq_abd(void **tc, const size_t tsize, void **c,
|
||
|
|
const unsigned *mul)
|
||
|
|
{
|
||
|
|
v_t *x = (v_t *)tc[TARGET_X];
|
||
|
|
v_t *y = (v_t *)tc[TARGET_Y];
|
||
|
|
const v_t * const xend = x + (tsize / sizeof (v_t));
|
||
|
|
const v_t *p = (v_t *)c[CODE_P];
|
||
|
|
const v_t *q = (v_t *)c[CODE_Q];
|
||
|
|
|
||
|
|
REC_PQ_DEFINE();
|
||
|
|
|
||
|
|
for (; x < xend; x += REC_PQ_STRIDE, y += REC_PQ_STRIDE,
|
||
|
|
p += REC_PQ_STRIDE, q += REC_PQ_STRIDE) {
|
||
|
|
LOAD(x, REC_PQ_X);
|
||
|
|
LOAD(y, REC_PQ_Y);
|
||
|
|
|
||
|
|
XOR_ACC(p, REC_PQ_X);
|
||
|
|
XOR_ACC(q, REC_PQ_Y);
|
||
|
|
|
||
|
|
/* Save Pxy */
|
||
|
|
COPY(REC_PQ_X, REC_PQ_T);
|
||
|
|
|
||
|
|
/* Calc X */
|
||
|
|
MUL(mul[MUL_PQ_X], REC_PQ_X);
|
||
|
|
MUL(mul[MUL_PQ_Y], REC_PQ_Y);
|
||
|
|
XOR(REC_PQ_Y, REC_PQ_X);
|
||
|
|
STORE(x, REC_PQ_X);
|
||
|
|
|
||
|
|
/* Calc Y */
|
||
|
|
XOR(REC_PQ_T, REC_PQ_X);
|
||
|
|
STORE(y, REC_PQ_X);
|
||
|
|
}
|
||
|
|
}
|
||
|
|
|
||
|
|
|
||
|
|
/*
|
||
|
|
* Reconstruct two data columns using PQ parity
|
||
|
|
*
|
||
|
|
* @syn_method raidz_syn_pq_abd()
|
||
|
|
* @rec_method raidz_rec_pq_abd()
|
||
|
|
*
|
||
|
|
* @rm RAIDZ map
|
||
|
|
* @tgtidx array of missing data indexes
|
||
|
|
*/
|
||
|
|
static raidz_inline int
|
||
|
|
raidz_reconstruct_pq_impl(raidz_map_t *rm, const int *tgtidx)
|
||
|
|
{
|
||
|
|
size_t c;
|
||
|
|
size_t dsize;
|
||
|
|
abd_t *dabd;
|
||
|
|
const size_t firstdc = raidz_parity(rm);
|
||
|
|
const size_t ncols = raidz_ncols(rm);
|
||
|
|
const size_t x = tgtidx[TARGET_X];
|
||
|
|
const size_t y = tgtidx[TARGET_Y];
|
||
|
|
const size_t xsize = rm->rm_col[x].rc_size;
|
||
|
|
const size_t ysize = rm->rm_col[y].rc_size;
|
||
|
|
abd_t *xabd = rm->rm_col[x].rc_abd;
|
||
|
|
abd_t *yabd = rm->rm_col[y].rc_abd;
|
||
|
|
abd_t *tabds[2] = { xabd, yabd };
|
||
|
|
abd_t *cabds[] = {
|
||
|
|
rm->rm_col[CODE_P].rc_abd,
|
||
|
|
rm->rm_col[CODE_Q].rc_abd
|
||
|
|
};
|
||
|
|
|
||
|
|
unsigned coeff[MUL_CNT];
|
||
|
|
raidz_rec_pq_coeff(rm, tgtidx, coeff);
|
||
|
|
|
||
|
|
/*
|
||
|
|
* Check if some of targets is shorter then others
|
||
|
|
* In this case, shorter target needs to be replaced with
|
||
|
|
* new buffer so that syndrome can be calculated.
|
||
|
|
*/
|
||
|
|
if (ysize < xsize) {
|
||
|
|
yabd = abd_alloc(xsize, B_FALSE);
|
||
|
|
tabds[1] = yabd;
|
||
|
|
}
|
||
|
|
|
||
|
|
raidz_math_begin();
|
||
|
|
|
||
|
|
/* Start with first data column if present */
|
||
|
|
if (firstdc != x) {
|
||
|
|
raidz_copy(xabd, rm->rm_col[firstdc].rc_abd, xsize);
|
||
|
|
raidz_copy(yabd, rm->rm_col[firstdc].rc_abd, xsize);
|
||
|
|
} else {
|
||
|
|
raidz_zero(xabd, xsize);
|
||
|
|
raidz_zero(yabd, xsize);
|
||
|
|
}
|
||
|
|
|
||
|
|
/* generate q_syndrome */
|
||
|
|
for (c = firstdc+1; c < ncols; c++) {
|
||
|
|
if (c == x || c == y) {
|
||
|
|
dabd = NULL;
|
||
|
|
dsize = 0;
|
||
|
|
} else {
|
||
|
|
dabd = rm->rm_col[c].rc_abd;
|
||
|
|
dsize = rm->rm_col[c].rc_size;
|
||
|
|
}
|
||
|
|
|
||
|
|
abd_raidz_gen_iterate(tabds, dabd, xsize, dsize, 2,
|
||
|
|
raidz_syn_pq_abd);
|
||
|
|
}
|
||
|
|
|
||
|
|
abd_raidz_rec_iterate(cabds, tabds, xsize, 2, raidz_rec_pq_abd, coeff);
|
||
|
|
|
||
|
|
/* Copy shorter targets back to the original abd buffer */
|
||
|
|
if (ysize < xsize)
|
||
|
|
raidz_copy(rm->rm_col[y].rc_abd, yabd, ysize);
|
||
|
|
|
||
|
|
raidz_math_end();
|
||
|
|
|
||
|
|
if (ysize < xsize)
|
||
|
|
abd_free(yabd);
|
||
|
|
|
||
|
|
return ((1 << CODE_P) | (1 << CODE_Q));
|
||
|
|
}
|
||
|
|
|
||
|
|
|
||
|
|
/*
|
||
|
|
* Generate P and R syndromes
|
||
|
|
*
|
||
|
|
* @xc array of pointers to syndrome columns
|
||
|
|
* @dc data column (NULL if missing)
|
||
|
|
* @tsize size of syndrome columns
|
||
|
|
* @dsize size of data column (0 if missing)
|
||
|
|
*/
|
||
|
|
static void
|
||
|
|
raidz_syn_pr_abd(void **c, const void *dc, const size_t tsize,
|
||
|
|
const size_t dsize)
|
||
|
|
{
|
||
|
|
v_t *x = (v_t *)c[TARGET_X];
|
||
|
|
v_t *y = (v_t *)c[TARGET_Y];
|
||
|
|
const v_t *d = (v_t *)dc;
|
||
|
|
const v_t * const dend = d + (dsize / sizeof (v_t));
|
||
|
|
const v_t * const yend = y + (tsize / sizeof (v_t));
|
||
|
|
|
||
|
|
SYN_PR_DEFINE();
|
||
|
|
|
||
|
|
MUL2_SETUP();
|
||
|
|
|
||
|
|
for (; d < dend; d += SYN_STRIDE, x += SYN_STRIDE, y += SYN_STRIDE) {
|
||
|
|
LOAD(d, SYN_PR_D);
|
||
|
|
P_D_SYNDROME(SYN_PR_D, SYN_PR_X, x);
|
||
|
|
R_D_SYNDROME(SYN_PR_D, SYN_PR_X, y);
|
||
|
|
}
|
||
|
|
for (; y < yend; y += SYN_STRIDE) {
|
||
|
|
R_SYNDROME(SYN_PR_X, y);
|
||
|
|
}
|
||
|
|
}
|
||
|
|
|
||
|
|
/*
|
||
|
|
* Reconstruct data using PR parity and PR syndromes
|
||
|
|
*
|
||
|
|
* @tc syndrome/result columns
|
||
|
|
* @tsize size of syndrome/result columns
|
||
|
|
* @c parity columns
|
||
|
|
* @mul array of multiplication constants
|
||
|
|
*/
|
||
|
|
static void
|
||
|
|
raidz_rec_pr_abd(void **t, const size_t tsize, void **c,
|
||
|
|
const unsigned *mul)
|
||
|
|
{
|
||
|
|
v_t *x = (v_t *)t[TARGET_X];
|
||
|
|
v_t *y = (v_t *)t[TARGET_Y];
|
||
|
|
const v_t * const xend = x + (tsize / sizeof (v_t));
|
||
|
|
const v_t *p = (v_t *)c[CODE_P];
|
||
|
|
const v_t *q = (v_t *)c[CODE_Q];
|
||
|
|
|
||
|
|
REC_PR_DEFINE();
|
||
|
|
|
||
|
|
for (; x < xend; x += REC_PR_STRIDE, y += REC_PR_STRIDE,
|
||
|
|
p += REC_PR_STRIDE, q += REC_PR_STRIDE) {
|
||
|
|
LOAD(x, REC_PR_X);
|
||
|
|
LOAD(y, REC_PR_Y);
|
||
|
|
XOR_ACC(p, REC_PR_X);
|
||
|
|
XOR_ACC(q, REC_PR_Y);
|
||
|
|
|
||
|
|
/* Save Pxy */
|
||
|
|
COPY(REC_PR_X, REC_PR_T);
|
||
|
|
|
||
|
|
/* Calc X */
|
||
|
|
MUL(mul[MUL_PR_X], REC_PR_X);
|
||
|
|
MUL(mul[MUL_PR_Y], REC_PR_Y);
|
||
|
|
XOR(REC_PR_Y, REC_PR_X);
|
||
|
|
STORE(x, REC_PR_X);
|
||
|
|
|
||
|
|
/* Calc Y */
|
||
|
|
XOR(REC_PR_T, REC_PR_X);
|
||
|
|
STORE(y, REC_PR_X);
|
||
|
|
}
|
||
|
|
}
|
||
|
|
|
||
|
|
|
||
|
|
/*
|
||
|
|
* Reconstruct two data columns using PR parity
|
||
|
|
*
|
||
|
|
* @syn_method raidz_syn_pr_abd()
|
||
|
|
* @rec_method raidz_rec_pr_abd()
|
||
|
|
*
|
||
|
|
* @rm RAIDZ map
|
||
|
|
* @tgtidx array of missing data indexes
|
||
|
|
*/
|
||
|
|
static raidz_inline int
|
||
|
|
raidz_reconstruct_pr_impl(raidz_map_t *rm, const int *tgtidx)
|
||
|
|
{
|
||
|
|
size_t c;
|
||
|
|
size_t dsize;
|
||
|
|
abd_t *dabd;
|
||
|
|
const size_t firstdc = raidz_parity(rm);
|
||
|
|
const size_t ncols = raidz_ncols(rm);
|
||
|
|
const size_t x = tgtidx[0];
|
||
|
|
const size_t y = tgtidx[1];
|
||
|
|
const size_t xsize = rm->rm_col[x].rc_size;
|
||
|
|
const size_t ysize = rm->rm_col[y].rc_size;
|
||
|
|
abd_t *xabd = rm->rm_col[x].rc_abd;
|
||
|
|
abd_t *yabd = rm->rm_col[y].rc_abd;
|
||
|
|
abd_t *tabds[2] = { xabd, yabd };
|
||
|
|
abd_t *cabds[] = {
|
||
|
|
rm->rm_col[CODE_P].rc_abd,
|
||
|
|
rm->rm_col[CODE_R].rc_abd
|
||
|
|
};
|
||
|
|
unsigned coeff[MUL_CNT];
|
||
|
|
raidz_rec_pr_coeff(rm, tgtidx, coeff);
|
||
|
|
|
||
|
|
/*
|
||
|
|
* Check if some of targets are shorter then others.
|
||
|
|
* They need to be replaced with a new buffer so that syndrome can
|
||
|
|
* be calculated on full length.
|
||
|
|
*/
|
||
|
|
if (ysize < xsize) {
|
||
|
|
yabd = abd_alloc(xsize, B_FALSE);
|
||
|
|
tabds[1] = yabd;
|
||
|
|
}
|
||
|
|
|
||
|
|
raidz_math_begin();
|
||
|
|
|
||
|
|
/* Start with first data column if present */
|
||
|
|
if (firstdc != x) {
|
||
|
|
raidz_copy(xabd, rm->rm_col[firstdc].rc_abd, xsize);
|
||
|
|
raidz_copy(yabd, rm->rm_col[firstdc].rc_abd, xsize);
|
||
|
|
} else {
|
||
|
|
raidz_zero(xabd, xsize);
|
||
|
|
raidz_zero(yabd, xsize);
|
||
|
|
}
|
||
|
|
|
||
|
|
/* generate q_syndrome */
|
||
|
|
for (c = firstdc+1; c < ncols; c++) {
|
||
|
|
if (c == x || c == y) {
|
||
|
|
dabd = NULL;
|
||
|
|
dsize = 0;
|
||
|
|
} else {
|
||
|
|
dabd = rm->rm_col[c].rc_abd;
|
||
|
|
dsize = rm->rm_col[c].rc_size;
|
||
|
|
}
|
||
|
|
|
||
|
|
abd_raidz_gen_iterate(tabds, dabd, xsize, dsize, 2,
|
||
|
|
raidz_syn_pr_abd);
|
||
|
|
}
|
||
|
|
|
||
|
|
abd_raidz_rec_iterate(cabds, tabds, xsize, 2, raidz_rec_pr_abd, coeff);
|
||
|
|
|
||
|
|
/*
|
||
|
|
* Copy shorter targets back to the original abd buffer
|
||
|
|
*/
|
||
|
|
if (ysize < xsize)
|
||
|
|
raidz_copy(rm->rm_col[y].rc_abd, yabd, ysize);
|
||
|
|
|
||
|
|
raidz_math_end();
|
||
|
|
|
||
|
|
if (ysize < xsize)
|
||
|
|
abd_free(yabd);
|
||
|
|
|
||
|
|
return ((1 << CODE_P) | (1 << CODE_Q));
|
||
|
|
}
|
||
|
|
|
||
|
|
|
||
|
|
/*
|
||
|
|
* Generate Q and R syndromes
|
||
|
|
*
|
||
|
|
* @xc array of pointers to syndrome columns
|
||
|
|
* @dc data column (NULL if missing)
|
||
|
|
* @tsize size of syndrome columns
|
||
|
|
* @dsize size of data column (0 if missing)
|
||
|
|
*/
|
||
|
|
static void
|
||
|
|
raidz_syn_qr_abd(void **c, const void *dc, const size_t tsize,
|
||
|
|
const size_t dsize)
|
||
|
|
{
|
||
|
|
v_t *x = (v_t *)c[TARGET_X];
|
||
|
|
v_t *y = (v_t *)c[TARGET_Y];
|
||
|
|
const v_t * const xend = x + (tsize / sizeof (v_t));
|
||
|
|
const v_t *d = (v_t *)dc;
|
||
|
|
const v_t * const dend = d + (dsize / sizeof (v_t));
|
||
|
|
|
||
|
|
SYN_QR_DEFINE();
|
||
|
|
|
||
|
|
MUL2_SETUP();
|
||
|
|
|
||
|
|
for (; d < dend; d += SYN_STRIDE, x += SYN_STRIDE, y += SYN_STRIDE) {
|
||
|
|
LOAD(d, SYN_PQ_D);
|
||
|
|
Q_D_SYNDROME(SYN_QR_D, SYN_QR_X, x);
|
||
|
|
R_D_SYNDROME(SYN_QR_D, SYN_QR_X, y);
|
||
|
|
}
|
||
|
|
for (; x < xend; x += SYN_STRIDE, y += SYN_STRIDE) {
|
||
|
|
Q_SYNDROME(SYN_QR_X, x);
|
||
|
|
R_SYNDROME(SYN_QR_X, y);
|
||
|
|
}
|
||
|
|
}
|
||
|
|
|
||
|
|
|
||
|
|
/*
|
||
|
|
* Reconstruct data using QR parity and QR syndromes
|
||
|
|
*
|
||
|
|
* @tc syndrome/result columns
|
||
|
|
* @tsize size of syndrome/result columns
|
||
|
|
* @c parity columns
|
||
|
|
* @mul array of multiplication constants
|
||
|
|
*/
|
||
|
|
static void
|
||
|
|
raidz_rec_qr_abd(void **t, const size_t tsize, void **c,
|
||
|
|
const unsigned *mul)
|
||
|
|
{
|
||
|
|
v_t *x = (v_t *)t[TARGET_X];
|
||
|
|
v_t *y = (v_t *)t[TARGET_Y];
|
||
|
|
const v_t * const xend = x + (tsize / sizeof (v_t));
|
||
|
|
const v_t *p = (v_t *)c[CODE_P];
|
||
|
|
const v_t *q = (v_t *)c[CODE_Q];
|
||
|
|
|
||
|
|
REC_QR_DEFINE();
|
||
|
|
|
||
|
|
for (; x < xend; x += REC_QR_STRIDE, y += REC_QR_STRIDE,
|
||
|
|
p += REC_QR_STRIDE, q += REC_QR_STRIDE) {
|
||
|
|
LOAD(x, REC_QR_X);
|
||
|
|
LOAD(y, REC_QR_Y);
|
||
|
|
|
||
|
|
XOR_ACC(p, REC_QR_X);
|
||
|
|
XOR_ACC(q, REC_QR_Y);
|
||
|
|
|
||
|
|
/* Save Pxy */
|
||
|
|
COPY(REC_QR_X, REC_QR_T);
|
||
|
|
|
||
|
|
/* Calc X */
|
||
|
|
MUL(mul[MUL_QR_XQ], REC_QR_X); /* X = Q * xqm */
|
||
|
|
XOR(REC_QR_Y, REC_QR_X); /* X = R ^ X */
|
||
|
|
MUL(mul[MUL_QR_X], REC_QR_X); /* X = X * xm */
|
||
|
|
STORE(x, REC_QR_X);
|
||
|
|
|
||
|
|
/* Calc Y */
|
||
|
|
MUL(mul[MUL_QR_YQ], REC_QR_T); /* X = Q * xqm */
|
||
|
|
XOR(REC_QR_Y, REC_QR_T); /* X = R ^ X */
|
||
|
|
MUL(mul[MUL_QR_Y], REC_QR_T); /* X = X * xm */
|
||
|
|
STORE(y, REC_QR_T);
|
||
|
|
}
|
||
|
|
}
|
||
|
|
|
||
|
|
|
||
|
|
/*
|
||
|
|
* Reconstruct two data columns using QR parity
|
||
|
|
*
|
||
|
|
* @syn_method raidz_syn_qr_abd()
|
||
|
|
* @rec_method raidz_rec_qr_abd()
|
||
|
|
*
|
||
|
|
* @rm RAIDZ map
|
||
|
|
* @tgtidx array of missing data indexes
|
||
|
|
*/
|
||
|
|
static raidz_inline int
|
||
|
|
raidz_reconstruct_qr_impl(raidz_map_t *rm, const int *tgtidx)
|
||
|
|
{
|
||
|
|
size_t c;
|
||
|
|
size_t dsize;
|
||
|
|
abd_t *dabd;
|
||
|
|
const size_t firstdc = raidz_parity(rm);
|
||
|
|
const size_t ncols = raidz_ncols(rm);
|
||
|
|
const size_t x = tgtidx[TARGET_X];
|
||
|
|
const size_t y = tgtidx[TARGET_Y];
|
||
|
|
const size_t xsize = rm->rm_col[x].rc_size;
|
||
|
|
const size_t ysize = rm->rm_col[y].rc_size;
|
||
|
|
abd_t *xabd = rm->rm_col[x].rc_abd;
|
||
|
|
abd_t *yabd = rm->rm_col[y].rc_abd;
|
||
|
|
abd_t *tabds[2] = { xabd, yabd };
|
||
|
|
abd_t *cabds[] = {
|
||
|
|
rm->rm_col[CODE_Q].rc_abd,
|
||
|
|
rm->rm_col[CODE_R].rc_abd
|
||
|
|
};
|
||
|
|
unsigned coeff[MUL_CNT];
|
||
|
|
raidz_rec_qr_coeff(rm, tgtidx, coeff);
|
||
|
|
|
||
|
|
/*
|
||
|
|
* Check if some of targets is shorter then others
|
||
|
|
* In this case, shorter target needs to be replaced with
|
||
|
|
* new buffer so that syndrome can be calculated.
|
||
|
|
*/
|
||
|
|
if (ysize < xsize) {
|
||
|
|
yabd = abd_alloc(xsize, B_FALSE);
|
||
|
|
tabds[1] = yabd;
|
||
|
|
}
|
||
|
|
|
||
|
|
raidz_math_begin();
|
||
|
|
|
||
|
|
/* Start with first data column if present */
|
||
|
|
if (firstdc != x) {
|
||
|
|
raidz_copy(xabd, rm->rm_col[firstdc].rc_abd, xsize);
|
||
|
|
raidz_copy(yabd, rm->rm_col[firstdc].rc_abd, xsize);
|
||
|
|
} else {
|
||
|
|
raidz_zero(xabd, xsize);
|
||
|
|
raidz_zero(yabd, xsize);
|
||
|
|
}
|
||
|
|
|
||
|
|
/* generate q_syndrome */
|
||
|
|
for (c = firstdc+1; c < ncols; c++) {
|
||
|
|
if (c == x || c == y) {
|
||
|
|
dabd = NULL;
|
||
|
|
dsize = 0;
|
||
|
|
} else {
|
||
|
|
dabd = rm->rm_col[c].rc_abd;
|
||
|
|
dsize = rm->rm_col[c].rc_size;
|
||
|
|
}
|
||
|
|
|
||
|
|
abd_raidz_gen_iterate(tabds, dabd, xsize, dsize, 2,
|
||
|
|
raidz_syn_qr_abd);
|
||
|
|
}
|
||
|
|
|
||
|
|
abd_raidz_rec_iterate(cabds, tabds, xsize, 2, raidz_rec_qr_abd, coeff);
|
||
|
|
|
||
|
|
/*
|
||
|
|
* Copy shorter targets back to the original abd buffer
|
||
|
|
*/
|
||
|
|
if (ysize < xsize)
|
||
|
|
raidz_copy(rm->rm_col[y].rc_abd, yabd, ysize);
|
||
|
|
|
||
|
|
raidz_math_end();
|
||
|
|
|
||
|
|
if (ysize < xsize)
|
||
|
|
abd_free(yabd);
|
||
|
|
|
||
|
|
|
||
|
|
return ((1 << CODE_Q) | (1 << CODE_R));
|
||
|
|
}
|
||
|
|
|
||
|
|
|
||
|
|
/*
|
||
|
|
* Generate P, Q, and R syndromes
|
||
|
|
*
|
||
|
|
* @xc array of pointers to syndrome columns
|
||
|
|
* @dc data column (NULL if missing)
|
||
|
|
* @tsize size of syndrome columns
|
||
|
|
* @dsize size of data column (0 if missing)
|
||
|
|
*/
|
||
|
|
static void
|
||
|
|
raidz_syn_pqr_abd(void **c, const void *dc, const size_t tsize,
|
||
|
|
const size_t dsize)
|
||
|
|
{
|
||
|
|
v_t *x = (v_t *)c[TARGET_X];
|
||
|
|
v_t *y = (v_t *)c[TARGET_Y];
|
||
|
|
v_t *z = (v_t *)c[TARGET_Z];
|
||
|
|
const v_t * const yend = y + (tsize / sizeof (v_t));
|
||
|
|
const v_t *d = (v_t *)dc;
|
||
|
|
const v_t * const dend = d + (dsize / sizeof (v_t));
|
||
|
|
|
||
|
|
SYN_PQR_DEFINE();
|
||
|
|
|
||
|
|
MUL2_SETUP();
|
||
|
|
|
||
|
|
for (; d < dend; d += SYN_STRIDE, x += SYN_STRIDE, y += SYN_STRIDE,
|
||
|
|
z += SYN_STRIDE) {
|
||
|
|
LOAD(d, SYN_PQR_D);
|
||
|
|
P_D_SYNDROME(SYN_PQR_D, SYN_PQR_X, x)
|
||
|
|
Q_D_SYNDROME(SYN_PQR_D, SYN_PQR_X, y);
|
||
|
|
R_D_SYNDROME(SYN_PQR_D, SYN_PQR_X, z);
|
||
|
|
}
|
||
|
|
for (; y < yend; y += SYN_STRIDE, z += SYN_STRIDE) {
|
||
|
|
Q_SYNDROME(SYN_PQR_X, y);
|
||
|
|
R_SYNDROME(SYN_PQR_X, z);
|
||
|
|
}
|
||
|
|
}
|
||
|
|
|
||
|
|
|
||
|
|
/*
|
||
|
|
* Reconstruct data using PRQ parity and PQR syndromes
|
||
|
|
*
|
||
|
|
* @tc syndrome/result columns
|
||
|
|
* @tsize size of syndrome/result columns
|
||
|
|
* @c parity columns
|
||
|
|
* @mul array of multiplication constants
|
||
|
|
*/
|
||
|
|
static void
|
||
|
|
raidz_rec_pqr_abd(void **t, const size_t tsize, void **c,
|
||
|
|
const unsigned * const mul)
|
||
|
|
{
|
||
|
|
v_t *x = (v_t *)t[TARGET_X];
|
||
|
|
v_t *y = (v_t *)t[TARGET_Y];
|
||
|
|
v_t *z = (v_t *)t[TARGET_Z];
|
||
|
|
const v_t * const xend = x + (tsize / sizeof (v_t));
|
||
|
|
const v_t *p = (v_t *)c[CODE_P];
|
||
|
|
const v_t *q = (v_t *)c[CODE_Q];
|
||
|
|
const v_t *r = (v_t *)c[CODE_R];
|
||
|
|
|
||
|
|
REC_PQR_DEFINE();
|
||
|
|
|
||
|
|
for (; x < xend; x += REC_PQR_STRIDE, y += REC_PQR_STRIDE,
|
||
|
|
z += REC_PQR_STRIDE, p += REC_PQR_STRIDE, q += REC_PQR_STRIDE,
|
||
|
|
r += REC_PQR_STRIDE) {
|
||
|
|
LOAD(x, REC_PQR_X);
|
||
|
|
LOAD(y, REC_PQR_Y);
|
||
|
|
LOAD(z, REC_PQR_Z);
|
||
|
|
|
||
|
|
XOR_ACC(p, REC_PQR_X);
|
||
|
|
XOR_ACC(q, REC_PQR_Y);
|
||
|
|
XOR_ACC(r, REC_PQR_Z);
|
||
|
|
|
||
|
|
/* Save Pxyz and Qxyz */
|
||
|
|
COPY(REC_PQR_X, REC_PQR_XS);
|
||
|
|
COPY(REC_PQR_Y, REC_PQR_YS);
|
||
|
|
|
||
|
|
/* Calc X */
|
||
|
|
MUL(mul[MUL_PQR_XP], REC_PQR_X); /* Xp = Pxyz * xp */
|
||
|
|
MUL(mul[MUL_PQR_XQ], REC_PQR_Y); /* Xq = Qxyz * xq */
|
||
|
|
XOR(REC_PQR_Y, REC_PQR_X);
|
||
|
|
MUL(mul[MUL_PQR_XR], REC_PQR_Z); /* Xr = Rxyz * xr */
|
||
|
|
XOR(REC_PQR_Z, REC_PQR_X); /* X = Xp + Xq + Xr */
|
||
|
|
STORE(x, REC_PQR_X);
|
||
|
|
|
||
|
|
/* Calc Y */
|
||
|
|
XOR(REC_PQR_X, REC_PQR_XS); /* Pyz = Pxyz + X */
|
||
|
|
MUL(mul[MUL_PQR_YU], REC_PQR_X); /* Xq = X * upd_q */
|
||
|
|
XOR(REC_PQR_X, REC_PQR_YS); /* Qyz = Qxyz + Xq */
|
||
|
|
COPY(REC_PQR_XS, REC_PQR_X); /* restore Pyz */
|
||
|
|
MUL(mul[MUL_PQR_YP], REC_PQR_X); /* Yp = Pyz * yp */
|
||
|
|
MUL(mul[MUL_PQR_YQ], REC_PQR_YS); /* Yq = Qyz * yq */
|
||
|
|
XOR(REC_PQR_X, REC_PQR_YS); /* Y = Yp + Yq */
|
||
|
|
STORE(y, REC_PQR_YS);
|
||
|
|
|
||
|
|
/* Calc Z */
|
||
|
|
XOR(REC_PQR_XS, REC_PQR_YS); /* Z = Pz = Pyz + Y */
|
||
|
|
STORE(z, REC_PQR_YS);
|
||
|
|
}
|
||
|
|
}
|
||
|
|
|
||
|
|
|
||
|
|
/*
|
||
|
|
* Reconstruct three data columns using PQR parity
|
||
|
|
*
|
||
|
|
* @syn_method raidz_syn_pqr_abd()
|
||
|
|
* @rec_method raidz_rec_pqr_abd()
|
||
|
|
*
|
||
|
|
* @rm RAIDZ map
|
||
|
|
* @tgtidx array of missing data indexes
|
||
|
|
*/
|
||
|
|
static raidz_inline int
|
||
|
|
raidz_reconstruct_pqr_impl(raidz_map_t *rm, const int *tgtidx)
|
||
|
|
{
|
||
|
|
size_t c;
|
||
|
|
size_t dsize;
|
||
|
|
abd_t *dabd;
|
||
|
|
const size_t firstdc = raidz_parity(rm);
|
||
|
|
const size_t ncols = raidz_ncols(rm);
|
||
|
|
const size_t x = tgtidx[TARGET_X];
|
||
|
|
const size_t y = tgtidx[TARGET_Y];
|
||
|
|
const size_t z = tgtidx[TARGET_Z];
|
||
|
|
const size_t xsize = rm->rm_col[x].rc_size;
|
||
|
|
const size_t ysize = rm->rm_col[y].rc_size;
|
||
|
|
const size_t zsize = rm->rm_col[z].rc_size;
|
||
|
|
abd_t *xabd = rm->rm_col[x].rc_abd;
|
||
|
|
abd_t *yabd = rm->rm_col[y].rc_abd;
|
||
|
|
abd_t *zabd = rm->rm_col[z].rc_abd;
|
||
|
|
abd_t *tabds[] = { xabd, yabd, zabd };
|
||
|
|
abd_t *cabds[] = {
|
||
|
|
rm->rm_col[CODE_P].rc_abd,
|
||
|
|
rm->rm_col[CODE_Q].rc_abd,
|
||
|
|
rm->rm_col[CODE_R].rc_abd
|
||
|
|
};
|
||
|
|
unsigned coeff[MUL_CNT];
|
||
|
|
raidz_rec_pqr_coeff(rm, tgtidx, coeff);
|
||
|
|
|
||
|
|
/*
|
||
|
|
* Check if some of targets is shorter then others
|
||
|
|
* In this case, shorter target needs to be replaced with
|
||
|
|
* new buffer so that syndrome can be calculated.
|
||
|
|
*/
|
||
|
|
if (ysize < xsize) {
|
||
|
|
yabd = abd_alloc(xsize, B_FALSE);
|
||
|
|
tabds[1] = yabd;
|
||
|
|
}
|
||
|
|
if (zsize < xsize) {
|
||
|
|
zabd = abd_alloc(xsize, B_FALSE);
|
||
|
|
tabds[2] = zabd;
|
||
|
|
}
|
||
|
|
|
||
|
|
raidz_math_begin();
|
||
|
|
|
||
|
|
/* Start with first data column if present */
|
||
|
|
if (firstdc != x) {
|
||
|
|
raidz_copy(xabd, rm->rm_col[firstdc].rc_abd, xsize);
|
||
|
|
raidz_copy(yabd, rm->rm_col[firstdc].rc_abd, xsize);
|
||
|
|
raidz_copy(zabd, rm->rm_col[firstdc].rc_abd, xsize);
|
||
|
|
} else {
|
||
|
|
raidz_zero(xabd, xsize);
|
||
|
|
raidz_zero(yabd, xsize);
|
||
|
|
raidz_zero(zabd, xsize);
|
||
|
|
}
|
||
|
|
|
||
|
|
/* generate q_syndrome */
|
||
|
|
for (c = firstdc+1; c < ncols; c++) {
|
||
|
|
if (c == x || c == y || c == z) {
|
||
|
|
dabd = NULL;
|
||
|
|
dsize = 0;
|
||
|
|
} else {
|
||
|
|
dabd = rm->rm_col[c].rc_abd;
|
||
|
|
dsize = rm->rm_col[c].rc_size;
|
||
|
|
}
|
||
|
|
|
||
|
|
abd_raidz_gen_iterate(tabds, dabd, xsize, dsize, 3,
|
||
|
|
raidz_syn_pqr_abd);
|
||
|
|
}
|
||
|
|
|
||
|
|
abd_raidz_rec_iterate(cabds, tabds, xsize, 3, raidz_rec_pqr_abd, coeff);
|
||
|
|
|
||
|
|
/*
|
||
|
|
* Copy shorter targets back to the original abd buffer
|
||
|
|
*/
|
||
|
|
if (ysize < xsize)
|
||
|
|
raidz_copy(rm->rm_col[y].rc_abd, yabd, ysize);
|
||
|
|
if (zsize < xsize)
|
||
|
|
raidz_copy(rm->rm_col[z].rc_abd, zabd, zsize);
|
||
|
|
|
||
|
|
raidz_math_end();
|
||
|
|
|
||
|
|
if (ysize < xsize)
|
||
|
|
abd_free(yabd);
|
||
|
|
if (zsize < xsize)
|
||
|
|
abd_free(zabd);
|
||
|
|
|
||
|
|
return ((1 << CODE_P) | (1 << CODE_Q) | (1 << CODE_R));
|
||
|
|
}
|
||
|
|
|
||
|
|
#endif /* _VDEV_RAIDZ_MATH_IMPL_H */
|