C part of Reed-Solomon
This commit is contained in:
parent
6d0fa83c79
commit
4f0de6881c
9 changed files with 553 additions and 23 deletions
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@ -244,6 +244,7 @@ program = {
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common = util/grub-setup.c;
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common = util/grub-setup.c;
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common = util/raid.c;
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common = util/raid.c;
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common = util/lvm.c;
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common = util/lvm.c;
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common = util/reed_solomon.c;
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sparc64_ieee1275 = util/ieee1275/ofpath.c;
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sparc64_ieee1275 = util/ieee1275/ofpath.c;
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@ -100,6 +100,8 @@ VARIABLE(grub_install_dos_part)
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.long 0xFFFFFFFF
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.long 0xFFFFFFFF
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VARIABLE(grub_install_bsd_part)
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VARIABLE(grub_install_bsd_part)
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.long 0xFFFFFFFF
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.long 0xFFFFFFFF
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reed_solomon_redundancy:
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.long 0
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#ifdef APPLE_CC
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#ifdef APPLE_CC
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bss_start:
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bss_start:
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@ -124,9 +124,9 @@ gpt_partition_map_iterate (grub_disk_t disk,
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#ifdef GRUB_UTIL
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#ifdef GRUB_UTIL
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static grub_err_t
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static grub_err_t
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gpt_partition_map_embed (struct grub_disk *disk, unsigned int nsectors,
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gpt_partition_map_embed (struct grub_disk *disk, unsigned int *nsectors,
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grub_embed_type_t embed_type,
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grub_embed_type_t embed_type,
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grub_disk_addr_t *sectors)
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grub_disk_addr_t **sectors)
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{
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{
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grub_disk_addr_t start = 0, len = 0;
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grub_disk_addr_t start = 0, len = 0;
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unsigned i;
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unsigned i;
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@ -168,13 +168,17 @@ gpt_partition_map_embed (struct grub_disk *disk, unsigned int nsectors,
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"This GPT partition label has no BIOS Boot Partition;"
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"This GPT partition label has no BIOS Boot Partition;"
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" embedding won't be possible!");
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" embedding won't be possible!");
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if (len < nsectors)
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if (len < *nsectors)
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return grub_error (GRUB_ERR_OUT_OF_RANGE,
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return grub_error (GRUB_ERR_OUT_OF_RANGE,
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"Your BIOS Boot Partition is too small;"
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"Your BIOS Boot Partition is too small;"
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" embedding won't be possible!");
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" embedding won't be possible!");
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for (i = 0; i < nsectors; i++)
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*nsectors = len;
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sectors[i] = start + i;
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*sectors = grub_malloc (*nsectors * sizeof (**sectors));
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if (!*sectors)
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return grub_errno;
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for (i = 0; i < *nsectors; i++)
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(*sectors)[i] = start + i;
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return GRUB_ERR_NONE;
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return GRUB_ERR_NONE;
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}
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}
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@ -145,9 +145,9 @@ grub_partition_msdos_iterate (grub_disk_t disk,
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#ifdef GRUB_UTIL
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#ifdef GRUB_UTIL
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static grub_err_t
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static grub_err_t
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pc_partition_map_embed (struct grub_disk *disk, unsigned int nsectors,
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pc_partition_map_embed (struct grub_disk *disk, unsigned int *nsectors,
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grub_embed_type_t embed_type,
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grub_embed_type_t embed_type,
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grub_disk_addr_t *sectors)
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grub_disk_addr_t **sectors)
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{
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{
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grub_disk_addr_t end = ~0ULL;
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grub_disk_addr_t end = ~0ULL;
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struct grub_msdos_partition_mbr mbr;
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struct grub_msdos_partition_mbr mbr;
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@ -232,11 +232,15 @@ pc_partition_map_embed (struct grub_disk *disk, unsigned int nsectors,
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break;
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break;
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}
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}
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if (end >= nsectors + 1)
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if (end >= *nsectors + 1)
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{
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{
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int i;
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int i;
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for (i = 0; i < nsectors; i++)
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*nsectors = end - 1;
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sectors[i] = 1 + i;
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*sectors = grub_malloc (*nsectors * sizeof (**sectors));
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if (!*sectors)
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return grub_errno;
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for (i = 0; i < *nsectors; i++)
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(*sectors)[i] = 1 + i;
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return GRUB_ERR_NONE;
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return GRUB_ERR_NONE;
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}
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}
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@ -245,7 +249,7 @@ pc_partition_map_embed (struct grub_disk *disk, unsigned int nsectors,
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"This msdos-style partition label has no "
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"This msdos-style partition label has no "
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"post-MBR gap; embedding won't be possible!");
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"post-MBR gap; embedding won't be possible!");
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if (nsectors > 62)
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if (*nsectors > 62)
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return grub_error (GRUB_ERR_OUT_OF_RANGE,
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return grub_error (GRUB_ERR_OUT_OF_RANGE,
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"Your core.img is unusually large. "
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"Your core.img is unusually large. "
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"It won't fit in the embedding area.");
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"It won't fit in the embedding area.");
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@ -34,11 +34,16 @@
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/* The offset of GRUB_INSTALL_BSD_PART. */
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/* The offset of GRUB_INSTALL_BSD_PART. */
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#define GRUB_KERNEL_I386_PC_INSTALL_BSD_PART 0x18
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#define GRUB_KERNEL_I386_PC_INSTALL_BSD_PART 0x18
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/* Offset of reed_solomon_redundancy. */
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#define GRUB_KERNEL_I386_PC_REED_SOLOMON_REDUNDANCY 0x1c
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/* The offset of multiboot signature. */
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/* The offset of multiboot signature. */
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#define GRUB_KERNEL_I386_PC_MULTIBOOT_SIGNATURE 0x1c
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#define GRUB_KERNEL_I386_PC_MULTIBOOT_SIGNATURE 0x20
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/* The size of the first region which won't be compressed. */
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/* The size of the first region which won't be compressed. */
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#define GRUB_KERNEL_I386_PC_RAW_SIZE 0x5D8
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#define GRUB_KERNEL_I386_PC_RAW_SIZE 0x5E0
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#define GRUB_KERNEL_I386_PC_NO_REED_SOLOMON_PART 0x300
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/* The offset of GRUB_PREFIX. */
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/* The offset of GRUB_PREFIX. */
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#define GRUB_KERNEL_I386_PC_PREFIX GRUB_KERNEL_I386_PC_RAW_SIZE
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#define GRUB_KERNEL_I386_PC_PREFIX GRUB_KERNEL_I386_PC_RAW_SIZE
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@ -48,8 +48,9 @@ struct grub_partition_map
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const grub_partition_t partition));
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const grub_partition_t partition));
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#ifdef GRUB_UTIL
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#ifdef GRUB_UTIL
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/* Determine sectors available for embedding. */
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/* Determine sectors available for embedding. */
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grub_err_t (*embed) (struct grub_disk *disk, unsigned int nsectors,
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grub_err_t (*embed) (struct grub_disk *disk, unsigned int *nsectors,
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grub_embed_type_t embed_type, grub_disk_addr_t *sectors);
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grub_embed_type_t embed_type,
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grub_disk_addr_t **sectors);
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#endif
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#endif
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};
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};
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typedef struct grub_partition_map *grub_partition_map_t;
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typedef struct grub_partition_map *grub_partition_map_t;
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30
include/grub/reed_solomon.h
Normal file
30
include/grub/reed_solomon.h
Normal file
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@ -0,0 +1,30 @@
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/*
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* GRUB -- GRand Unified Bootloader
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* Copyright (C) 2010 Free Software Foundation, Inc.
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*
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* GRUB is free software: you can redistribute it and/or modify
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* it under the terms of the GNU General Public License as published by
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* the Free Software Foundation, either version 3 of the License, or
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* (at your option) any later version.
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*
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* GRUB is distributed in the hope that it will be useful,
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* but WITHOUT ANY WARRANTY; without even the implied warranty of
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* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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* GNU General Public License for more details.
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*
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* You should have received a copy of the GNU General Public License
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* along with GRUB. If not, see <http://www.gnu.org/licenses/>.
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*/
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#ifndef GRUB_REED_SOLOMON_HEADER
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#define GRUB_REED_SOLOMON_HEADER 1
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void
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grub_reed_solomon_add_redundancy (void *buffer, grub_size_t data_size,
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grub_size_t redundancy);
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void
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grub_reed_solomon_recover (void *buffer, grub_size_t data_size,
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grub_size_t redundancy);
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#endif
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@ -48,6 +48,7 @@
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#include <assert.h>
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#include <assert.h>
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#include <grub/emu/getroot.h>
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#include <grub/emu/getroot.h>
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#include "progname.h"
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#include "progname.h"
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#include <grub/reed_solomon.h>
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#define _GNU_SOURCE 1
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#define _GNU_SOURCE 1
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#include <argp.h>
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#include <argp.h>
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@ -336,9 +337,10 @@ setup (const char *dir,
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grub_partition_t container = dest_dev->disk->partition;
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grub_partition_t container = dest_dev->disk->partition;
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int multiple_partmaps = 0;
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int multiple_partmaps = 0;
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grub_err_t err;
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grub_err_t err;
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grub_disk_addr_t sectors[core_sectors];
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grub_disk_addr_t *sectors;
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int i;
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int i;
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grub_fs_t fs;
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grub_fs_t fs;
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unsigned int nsec;
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/* Unlike root_dev, with dest_dev we're interested in the partition map even
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/* Unlike root_dev, with dest_dev we're interested in the partition map even
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if dest_dev itself is a whole disk. */
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if dest_dev itself is a whole disk. */
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@ -419,8 +421,11 @@ setup (const char *dir,
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goto unable_to_embed;
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goto unable_to_embed;
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}
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}
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err = dest_partmap->embed (dest_dev->disk, core_sectors,
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nsec = core_sectors;
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GRUB_EMBED_PCBIOS, sectors);
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err = dest_partmap->embed (dest_dev->disk, &nsec,
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GRUB_EMBED_PCBIOS, §ors);
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if (nsec > 2 * core_sectors)
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nsec = 2 * core_sectors;
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if (err)
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if (err)
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{
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{
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@ -439,6 +444,20 @@ setup (const char *dir,
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write_rootdev (core_img, root_dev, boot_img, first_sector);
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write_rootdev (core_img, root_dev, boot_img, first_sector);
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core_img = realloc (core_img, nsec * GRUB_DISK_SECTOR_SIZE);
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first_block = (struct grub_boot_blocklist *) (core_img
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+ GRUB_DISK_SECTOR_SIZE
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- sizeof (*block));
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*(grub_uint32_t *) (core_img + GRUB_DISK_SECTOR_SIZE
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+ GRUB_KERNEL_I386_PC_REED_SOLOMON_REDUNDANCY)
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= grub_host_to_target32 (nsec * GRUB_DISK_SECTOR_SIZE - core_size);
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grub_reed_solomon_add_redundancy (core_img + GRUB_KERNEL_I386_PC_NO_REED_SOLOMON_PART + GRUB_DISK_SECTOR_SIZE,
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core_size - GRUB_KERNEL_I386_PC_NO_REED_SOLOMON_PART - GRUB_DISK_SECTOR_SIZE,
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nsec * GRUB_DISK_SECTOR_SIZE
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- core_size);
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/* Make sure that the second blocklist is a terminator. */
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/* Make sure that the second blocklist is a terminator. */
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block = first_block - 1;
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block = first_block - 1;
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block->start = 0;
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block->start = 0;
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@ -446,14 +465,13 @@ setup (const char *dir,
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block->segment = 0;
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block->segment = 0;
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/* Write the core image onto the disk. */
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/* Write the core image onto the disk. */
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for (i = 0; i < core_sectors; i++)
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for (i = 0; i < nsec; i++)
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grub_disk_write (dest_dev->disk, sectors[i], 0,
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grub_disk_write (dest_dev->disk, sectors[i], 0,
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(core_size - i * GRUB_DISK_SECTOR_SIZE
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GRUB_DISK_SECTOR_SIZE,
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< GRUB_DISK_SECTOR_SIZE) ? core_size
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- i * GRUB_DISK_SECTOR_SIZE
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: GRUB_DISK_SECTOR_SIZE,
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core_img + i * GRUB_DISK_SECTOR_SIZE);
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core_img + i * GRUB_DISK_SECTOR_SIZE);
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grub_free (sectors);
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goto finish;
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goto finish;
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}
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}
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#endif
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#endif
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465
util/reed_solomon.c
Normal file
465
util/reed_solomon.c
Normal file
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@ -0,0 +1,465 @@
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/*
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* GRUB -- GRand Unified Bootloader
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* Copyright (C) 2010 Free Software Foundation, Inc.
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*
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* GRUB is free software: you can redistribute it and/or modify
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* it under the terms of the GNU General Public License as published by
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* the Free Software Foundation, either version 3 of the License, or
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* (at your option) any later version.
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*
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* GRUB is distributed in the hope that it will be useful,
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* but WITHOUT ANY WARRANTY; without even the implied warranty of
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* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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* GNU General Public License for more details.
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*
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* You should have received a copy of the GNU General Public License
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* along with GRUB. If not, see <http://www.gnu.org/licenses/>.
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*/
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#ifdef TEST
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#include <stdio.h>
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#include <string.h>
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#include <stdlib.h>
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typedef unsigned int grub_size_t;
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typedef unsigned char grub_uint8_t;
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typedef unsigned short grub_uint16_t;
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#define xmalloc malloc
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#define grub_memset memset
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#define grub_memcpy memcpy
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#else
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#include <grub/types.h>
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#include <grub/reed_solomon.h>
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#include <grub/util/misc.h>
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#include <grub/misc.h>
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#endif
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#define GF_SIZE 8
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typedef grub_uint8_t gf_single_t;
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typedef grub_uint16_t gf_double_t;
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const gf_single_t gf_polynomial = 0x1d;
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#define SECTOR_SIZE 512
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#define MAX_BLOCK_SIZE (200 * SECTOR_SIZE)
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static gf_single_t
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gf_reduce (gf_double_t a)
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{
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int i;
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for (i = GF_SIZE - 1; i >= 0; i--)
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if (a & (1ULL << (i + GF_SIZE)))
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a ^= (((gf_double_t) gf_polynomial) << i);
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return a & ((1ULL << GF_SIZE) - 1);
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}
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static gf_single_t
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gf_mul (gf_single_t a, gf_single_t b)
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{
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gf_double_t res = 0;
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int i;
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for (i = 0; i < GF_SIZE; i++)
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if (b & (1 << i))
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res ^= ((gf_double_t) a) << i;
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return gf_reduce (res);
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}
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static int
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bin_log2 (gf_double_t a)
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{
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int i = 0;
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while (a)
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{
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a >>= 1;
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i++;
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}
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return i - 1;
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}
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static gf_single_t
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gf_invert (gf_single_t a)
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{
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/* We start with: */
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/* 1 * a + 0 * p = a */
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/* 0 * a + 1 * p = p */
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gf_double_t x1 = 1, y1 = 0, z1 = a, x2 = 0, y2 = 1;
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gf_double_t z2 = gf_polynomial | (1ULL << GF_SIZE), t;
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/* invariant: z1 < z2*/
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while (z1 != 0)
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{
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int k;
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k = bin_log2 (z2) - bin_log2 (z1);
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x2 ^= (x1 << k);
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y2 ^= (y1 << k);
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z2 ^= (z1 << k);
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if (z1 >= z2)
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{
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t = x2;
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x2 = x1;
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x1 = t;
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t = y2;
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y2 = y1;
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y1 = t;
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t = z2;
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z2 = z1;
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|
z1 = t;
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
return gf_reduce (x2);
|
||||||
|
}
|
||||||
|
|
||||||
|
static gf_single_t
|
||||||
|
pol_evaluate (gf_single_t *pol, grub_size_t degree, gf_single_t x)
|
||||||
|
{
|
||||||
|
int i;
|
||||||
|
gf_single_t xn = 1, s = 0;
|
||||||
|
for (i = degree; i >= 0; i--)
|
||||||
|
{
|
||||||
|
s ^= gf_mul (pol[i], xn);
|
||||||
|
xn = gf_mul (x, xn);
|
||||||
|
}
|
||||||
|
return s;
|
||||||
|
}
|
||||||
|
|
||||||
|
static void
|
||||||
|
rs_encode (gf_single_t *data, grub_size_t s, grub_size_t rs)
|
||||||
|
{
|
||||||
|
gf_single_t *rs_polynomial, a = 1;
|
||||||
|
int i, j;
|
||||||
|
gf_single_t *m;
|
||||||
|
m = xmalloc ((s + rs) * sizeof (gf_single_t));
|
||||||
|
grub_memcpy (m, data, s * sizeof (gf_single_t));
|
||||||
|
grub_memset (m + s, 0, rs * sizeof (gf_single_t));
|
||||||
|
rs_polynomial = xmalloc ((rs + 1) * sizeof (gf_single_t));
|
||||||
|
grub_memset (rs_polynomial, 0, (rs + 1) * sizeof (gf_single_t));
|
||||||
|
rs_polynomial[rs] = 1;
|
||||||
|
/* Multiply with X - a^r */
|
||||||
|
for (j = 0; j < rs; j++)
|
||||||
|
{
|
||||||
|
if (a & (1 << (GF_SIZE - 1)))
|
||||||
|
{
|
||||||
|
a <<= 1;
|
||||||
|
a ^= gf_polynomial;
|
||||||
|
}
|
||||||
|
else
|
||||||
|
a <<= 1;
|
||||||
|
for (i = 0; i < rs; i++)
|
||||||
|
rs_polynomial[i] = rs_polynomial[i + 1] ^ gf_mul (a, rs_polynomial[i]);
|
||||||
|
rs_polynomial[rs] = gf_mul (a, rs_polynomial[rs]);
|
||||||
|
}
|
||||||
|
for (j = 0; j < s; j++)
|
||||||
|
if (m[j])
|
||||||
|
{
|
||||||
|
gf_single_t f = m[j];
|
||||||
|
for (i = 0; i <= rs; i++)
|
||||||
|
m[i+j] ^= gf_mul (rs_polynomial[i], f);
|
||||||
|
}
|
||||||
|
free (rs_polynomial);
|
||||||
|
grub_memcpy (data + s, m + s, rs * sizeof (gf_single_t));
|
||||||
|
free (m);
|
||||||
|
|
||||||
|
}
|
||||||
|
|
||||||
|
static void
|
||||||
|
syndroms (gf_single_t *m, grub_size_t s, grub_size_t rs,
|
||||||
|
gf_single_t *sy)
|
||||||
|
{
|
||||||
|
gf_single_t xn = 1;
|
||||||
|
int i;
|
||||||
|
for (i = 0; i < rs; i++)
|
||||||
|
{
|
||||||
|
if (xn & (1 << (GF_SIZE - 1)))
|
||||||
|
{
|
||||||
|
xn <<= 1;
|
||||||
|
xn ^= gf_polynomial;
|
||||||
|
}
|
||||||
|
else
|
||||||
|
xn <<= 1;
|
||||||
|
sy[i] = pol_evaluate (m, s + rs - 1, xn);
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
static void
|
||||||
|
rs_recover (gf_single_t *m, grub_size_t s, grub_size_t rs)
|
||||||
|
{
|
||||||
|
grub_size_t rs2 = rs / 2;
|
||||||
|
gf_single_t *sigma;
|
||||||
|
gf_single_t *errpot;
|
||||||
|
int *errpos;
|
||||||
|
gf_single_t *sy;
|
||||||
|
int errnum = 0;
|
||||||
|
int i, j;
|
||||||
|
|
||||||
|
sigma = xmalloc (rs2 * sizeof (gf_single_t));
|
||||||
|
errpot = xmalloc (rs2 * sizeof (gf_single_t));
|
||||||
|
errpos = xmalloc (rs2 * sizeof (int));
|
||||||
|
sy = xmalloc (rs * sizeof (gf_single_t));
|
||||||
|
|
||||||
|
syndroms (m, s, rs, sy);
|
||||||
|
|
||||||
|
{
|
||||||
|
gf_single_t *eq;
|
||||||
|
int *chosen;
|
||||||
|
|
||||||
|
eq = xmalloc (rs2 * (rs2 + 1) * sizeof (gf_single_t));
|
||||||
|
chosen = xmalloc (rs2 * sizeof (int));
|
||||||
|
|
||||||
|
for (i = 0; i < rs; i++)
|
||||||
|
if (sy[i] != 0)
|
||||||
|
break;
|
||||||
|
|
||||||
|
/* No error detected. */
|
||||||
|
if (i == rs)
|
||||||
|
return;
|
||||||
|
|
||||||
|
for (i = 0; i < rs2; i++)
|
||||||
|
for (j = 0; j < rs2 + 1; j++)
|
||||||
|
eq[i * (rs2 + 1) + j] = sy[i+j];
|
||||||
|
|
||||||
|
grub_memset (sigma, 0, rs2 * sizeof (gf_single_t));
|
||||||
|
grub_memset (chosen, -1, rs2 * sizeof (int));
|
||||||
|
|
||||||
|
for (i = 0 ; i < rs2; i++)
|
||||||
|
{
|
||||||
|
int nzidx;
|
||||||
|
int k;
|
||||||
|
gf_single_t r;
|
||||||
|
for (nzidx = 0; nzidx < rs2 && (eq[i * (rs2 + 1) + nzidx] == 0);
|
||||||
|
nzidx++);
|
||||||
|
if (nzidx == rs2)
|
||||||
|
{
|
||||||
|
break;
|
||||||
|
}
|
||||||
|
chosen[i] = nzidx;
|
||||||
|
r = gf_invert (eq[i * (rs2 + 1) + nzidx]);
|
||||||
|
for (j = 0; j < rs2 + 1; j++)
|
||||||
|
eq[i * (rs2 + 1) + j] = gf_mul (eq[i * (rs2 + 1) + j], r);
|
||||||
|
for (j = i + 1; j < rs2; j++)
|
||||||
|
{
|
||||||
|
gf_single_t rr = eq[j * (rs2 + 1) + nzidx];
|
||||||
|
for (k = 0; k < rs2 + 1; k++)
|
||||||
|
eq[j * (rs2 + 1) + k] ^= gf_mul (eq[i * (rs2 + 1) + k], rr);;
|
||||||
|
}
|
||||||
|
}
|
||||||
|
for (i = rs2 - 1; i >= 0; i--)
|
||||||
|
{
|
||||||
|
gf_single_t s = 0;
|
||||||
|
if (chosen[i] == -1)
|
||||||
|
continue;
|
||||||
|
for (j = 0; j < rs2; j++)
|
||||||
|
s ^= gf_mul (eq[i * (rs2 + 1) + j], sigma[j]);
|
||||||
|
s ^= eq[i * (rs2 + 1) + rs2];
|
||||||
|
sigma[chosen[i]] = s;
|
||||||
|
}
|
||||||
|
|
||||||
|
free (chosen);
|
||||||
|
free (eq);
|
||||||
|
}
|
||||||
|
|
||||||
|
{
|
||||||
|
gf_single_t xn = 1, xx = gf_invert (2), yn = 1;
|
||||||
|
int lp = 0;
|
||||||
|
for (i = 0; i < rs + s; i++)
|
||||||
|
{
|
||||||
|
gf_single_t ev = (gf_mul (pol_evaluate (sigma, rs2 - 1, xn), xn) ^ 1);
|
||||||
|
if (ev == 0)
|
||||||
|
{
|
||||||
|
errpot[errnum] = yn;
|
||||||
|
errpos[errnum++] = s + rs - i - 1;
|
||||||
|
}
|
||||||
|
yn = gf_mul (yn, 2);
|
||||||
|
xn = gf_mul (xn, xx);
|
||||||
|
}
|
||||||
|
}
|
||||||
|
{
|
||||||
|
gf_single_t *eq;
|
||||||
|
int *chosen;
|
||||||
|
gf_single_t *errvals;
|
||||||
|
|
||||||
|
eq = xmalloc (rs * (errnum + 1) * sizeof (gf_single_t));
|
||||||
|
chosen = xmalloc (rs * sizeof (int));
|
||||||
|
errvals = xmalloc (errnum * sizeof (int));
|
||||||
|
|
||||||
|
grub_memset (chosen, -1, rs * sizeof (int));
|
||||||
|
grub_memset (errvals, 0, errnum * sizeof (gf_single_t));
|
||||||
|
|
||||||
|
for (j = 0; j < errnum; j++)
|
||||||
|
eq[j] = errpot[j];
|
||||||
|
eq[errnum] = sy[0];
|
||||||
|
for (i = 1; i < rs; i++)
|
||||||
|
{
|
||||||
|
for (j = 0; j < errnum; j++)
|
||||||
|
eq[(errnum + 1) * i + j] = gf_mul (errpot[j],
|
||||||
|
eq[(errnum + 1) * (i - 1) + j]);
|
||||||
|
eq[(errnum + 1) * i + errnum] = sy[i];
|
||||||
|
}
|
||||||
|
for (i = 0 ; i < rs; i++)
|
||||||
|
{
|
||||||
|
int nzidx;
|
||||||
|
int k;
|
||||||
|
gf_single_t r;
|
||||||
|
for (nzidx = 0; nzidx < errnum && (eq[i * (errnum + 1) + nzidx] == 0);
|
||||||
|
nzidx++);
|
||||||
|
if (nzidx == errnum)
|
||||||
|
continue;
|
||||||
|
chosen[i] = nzidx;
|
||||||
|
r = gf_invert (eq[i * (errnum + 1) + nzidx]);
|
||||||
|
for (j = 0; j < errnum + 1; j++)
|
||||||
|
eq[i * (errnum + 1) + j] = gf_mul (eq[i * (errnum + 1) + j], r);
|
||||||
|
for (j = i + 1; j < rs; j++)
|
||||||
|
{
|
||||||
|
gf_single_t rr = eq[j * (errnum + 1) + nzidx];
|
||||||
|
for (k = 0; k < errnum + 1; k++)
|
||||||
|
eq[j * (errnum + 1) + k] ^= gf_mul (eq[i * (errnum + 1) + k], rr);
|
||||||
|
}
|
||||||
|
}
|
||||||
|
for (i = rs - 1; i >= 0; i--)
|
||||||
|
{
|
||||||
|
gf_single_t s = 0;
|
||||||
|
if (chosen[i] == -1)
|
||||||
|
continue;
|
||||||
|
for (j = 0; j < errnum; j++)
|
||||||
|
s ^= gf_mul (eq[i * (errnum + 1) + j], errvals[j]);
|
||||||
|
s ^= eq[i * (errnum + 1) + errnum];
|
||||||
|
errvals[chosen[i]] = s;
|
||||||
|
}
|
||||||
|
for (i = 0; i < errnum; i++)
|
||||||
|
m[errpos[i]] ^= errvals[i];
|
||||||
|
}
|
||||||
|
free (sy);
|
||||||
|
}
|
||||||
|
|
||||||
|
static void
|
||||||
|
decode_block (gf_single_t *ptr, grub_size_t s,
|
||||||
|
gf_single_t *rptr, grub_size_t rs)
|
||||||
|
{
|
||||||
|
grub_size_t ss;
|
||||||
|
int i, j, k;
|
||||||
|
for (i = 0; i < SECTOR_SIZE; i++)
|
||||||
|
{
|
||||||
|
grub_size_t ds = (s + SECTOR_SIZE - 1 - i) / SECTOR_SIZE;
|
||||||
|
grub_size_t rr = (rs + SECTOR_SIZE - 1 - i) / SECTOR_SIZE;
|
||||||
|
gf_single_t m[ds + rr];
|
||||||
|
|
||||||
|
for (j = 0; j < ds; j++)
|
||||||
|
m[j] = ptr[SECTOR_SIZE * j + i];
|
||||||
|
for (j = 0; j < rr; j++)
|
||||||
|
m[j + ds] = rptr[SECTOR_SIZE * j + i];
|
||||||
|
|
||||||
|
rs_recover (m, ds, rr);
|
||||||
|
|
||||||
|
for (j = 0; j < ds; j++)
|
||||||
|
ptr[SECTOR_SIZE * j + i] = m[j];
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
static void
|
||||||
|
encode_block (gf_single_t *ptr, grub_size_t s,
|
||||||
|
gf_single_t *rptr, grub_size_t rs)
|
||||||
|
{
|
||||||
|
grub_size_t ss;
|
||||||
|
int i, j;
|
||||||
|
for (i = 0; i < SECTOR_SIZE; i++)
|
||||||
|
{
|
||||||
|
grub_size_t ds = (s + SECTOR_SIZE - 1 - i) / SECTOR_SIZE;
|
||||||
|
grub_size_t rr = (rs + SECTOR_SIZE - 1 - i) / SECTOR_SIZE;
|
||||||
|
gf_single_t m[ds + rr];
|
||||||
|
for (j = 0; j < ds; j++)
|
||||||
|
m[j] = ptr[SECTOR_SIZE * j + i];
|
||||||
|
rs_encode (m, ds, rr);
|
||||||
|
for (j = 0; j < rr; j++)
|
||||||
|
rptr[SECTOR_SIZE * j + i] = m[j + ds];
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
void
|
||||||
|
grub_reed_solomon_add_redundancy (void *buffer, grub_size_t data_size,
|
||||||
|
grub_size_t redundancy)
|
||||||
|
{
|
||||||
|
grub_size_t s = data_size;
|
||||||
|
grub_size_t rs = redundancy;
|
||||||
|
gf_single_t *ptr = buffer;
|
||||||
|
gf_single_t *rptr = ptr + s;
|
||||||
|
|
||||||
|
while (s > 0)
|
||||||
|
{
|
||||||
|
grub_size_t tt;
|
||||||
|
grub_size_t cs, crs;
|
||||||
|
cs = s;
|
||||||
|
crs = rs;
|
||||||
|
tt = cs + crs;
|
||||||
|
if (tt > MAX_BLOCK_SIZE)
|
||||||
|
{
|
||||||
|
cs = (cs * MAX_BLOCK_SIZE) / tt;
|
||||||
|
crs = (crs * MAX_BLOCK_SIZE) / tt;
|
||||||
|
}
|
||||||
|
encode_block (ptr, cs, rptr, crs);
|
||||||
|
ptr += cs;
|
||||||
|
rptr += crs;
|
||||||
|
s -= cs;
|
||||||
|
rs -= crs;
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
void
|
||||||
|
grub_reed_solomon_recover (void *ptr, grub_size_t s, grub_size_t rs)
|
||||||
|
{
|
||||||
|
gf_single_t *rptr = ptr + s;
|
||||||
|
while (s > 0)
|
||||||
|
{
|
||||||
|
grub_size_t tt;
|
||||||
|
grub_size_t cs, crs;
|
||||||
|
cs = s;
|
||||||
|
crs = rs;
|
||||||
|
tt = cs + crs;
|
||||||
|
if (tt > MAX_BLOCK_SIZE)
|
||||||
|
{
|
||||||
|
cs = cs * MAX_BLOCK_SIZE / tt;
|
||||||
|
crs = crs * MAX_BLOCK_SIZE / tt;
|
||||||
|
}
|
||||||
|
decode_block (ptr, cs, rptr, crs);
|
||||||
|
ptr += cs;
|
||||||
|
rptr += crs;
|
||||||
|
s -= cs;
|
||||||
|
rs -= crs;
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
#ifdef TEST
|
||||||
|
int
|
||||||
|
main (int argc, char **argv)
|
||||||
|
{
|
||||||
|
FILE *in, *out;
|
||||||
|
grub_size_t s, rs;
|
||||||
|
char *buf;
|
||||||
|
in = fopen ("tst.bin", "rb");
|
||||||
|
if (!in)
|
||||||
|
return 1;
|
||||||
|
fseek (in, 0, SEEK_END);
|
||||||
|
s = ftell (in);
|
||||||
|
fseek (in, 0, SEEK_SET);
|
||||||
|
rs = 1024 * ((s + MAX_BLOCK_SIZE - 1) / (MAX_BLOCK_SIZE - 1024));
|
||||||
|
buf = xmalloc (s + rs + SECTOR_SIZE);
|
||||||
|
fread (buf, 1, s, in);
|
||||||
|
|
||||||
|
grub_reed_solomon_add_redundancy (buf, s, rs);
|
||||||
|
|
||||||
|
out = fopen ("tst_rs.bin", "wb");
|
||||||
|
fwrite (buf, 1, s + rs, out);
|
||||||
|
fclose (out);
|
||||||
|
|
||||||
|
grub_memset (buf + 512 * 15, 0, 512);
|
||||||
|
|
||||||
|
out = fopen ("tst_dam.bin", "wb");
|
||||||
|
fwrite (buf, 1, s + rs, out);
|
||||||
|
fclose (out);
|
||||||
|
|
||||||
|
grub_reed_solomon_recover (buf, s, rs);
|
||||||
|
|
||||||
|
out = fopen ("tst_rec.bin", "wb");
|
||||||
|
fwrite (buf, 1, s, out);
|
||||||
|
fclose (out);
|
||||||
|
|
||||||
|
return 0;
|
||||||
|
}
|
||||||
|
#endif
|
Loading…
Reference in a new issue