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Switch to CRC-32C in WAL and other places. 

The old algorithm was found to not be the usual CRC-32 algorithm, used by
Ethernet et al. We were using a non-reflected lookup table with code meant
for a reflected lookup table. That's a strange combination that AFAICS does
not correspond to any bit-wise CRC calculation, which makes it difficult to
reason about its properties. Although it has worked well in practice, seems
safer to use a well-known algorithm.

Since we're changing the algorithm anyway, we might as well choose a
different polynomial. The Castagnoli polynomial has better error-correcting
properties than the traditional CRC-32 polynomial, even if we had
implemented it correctly. Another reason for picking that is that some new
CPUs have hardware support for calculating CRC-32C, but not CRC-32, let
alone our strange variant of it. This patch doesn't add any support for such
hardware, but a future patch could now do that.

The old algorithm is kept around for tsquery and pg_trgm, which use the
values in indexes that need to remain compatible so that pg_upgrade works.
While we're at it, share the old lookup table for CRC-32 calculation
between hstore, ltree and core. They all use the same table, so might as
well.
This commit is contained in:
Heikki Linnakangas 2014-11-04 11:35:15 +02:00
parent 404bc51cde
commit 5028f22f6e
20 changed files with 299 additions and 340 deletions
Show Stats Download Patch File Download Diff File Expand all files Collapse all files

2
contrib/hstore/Makefile
View File

@ -2,7 +2,7 @@
MODULE_big = hstore
OBJS = hstore_io.o hstore_op.o hstore_gist.o hstore_gin.o hstore_compat.o \
crc32.o $(WIN32RES)
$(WIN32RES)
EXTENSION = hstore
DATA = hstore--1.3.sql hstore--1.2--1.3.sql \

106
contrib/hstore/crc32.c
View File

@ -1,106 +0,0 @@
/*
* contrib/hstore/crc32.c
*
* Both POSIX and CRC32 checksums */
#include <sys/types.h>
#include <stdio.h>
#include <sys/types.h>
#include "crc32.h"
/*
* This code implements the AUTODIN II polynomial
* The variable corresponding to the macro argument "crc" should
* be an unsigned long.
* Original code by Spencer Garrett <srg@quick.com>
*/
#define _CRC32_(crc, ch) (crc = (crc >> 8) ^ crc32tab[(crc ^ (ch)) & 0xff])
/* generated using the AUTODIN II polynomial
* x^32 + x^26 + x^23 + x^22 + x^16 +
* x^12 + x^11 + x^10 + x^8 + x^7 + x^5 + x^4 + x^2 + x^1 + 1
*/
static const unsigned int crc32tab[256] = {
0x00000000, 0x77073096, 0xee0e612c, 0x990951ba,
0x076dc419, 0x706af48f, 0xe963a535, 0x9e6495a3,
0x0edb8832, 0x79dcb8a4, 0xe0d5e91e, 0x97d2d988,
0x09b64c2b, 0x7eb17cbd, 0xe7b82d07, 0x90bf1d91,
0x1db71064, 0x6ab020f2, 0xf3b97148, 0x84be41de,
0x1adad47d, 0x6ddde4eb, 0xf4d4b551, 0x83d385c7,
0x136c9856, 0x646ba8c0, 0xfd62f97a, 0x8a65c9ec,
0x14015c4f, 0x63066cd9, 0xfa0f3d63, 0x8d080df5,
0x3b6e20c8, 0x4c69105e, 0xd56041e4, 0xa2677172,
0x3c03e4d1, 0x4b04d447, 0xd20d85fd, 0xa50ab56b,
0x35b5a8fa, 0x42b2986c, 0xdbbbc9d6, 0xacbcf940,
0x32d86ce3, 0x45df5c75, 0xdcd60dcf, 0xabd13d59,
0x26d930ac, 0x51de003a, 0xc8d75180, 0xbfd06116,
0x21b4f4b5, 0x56b3c423, 0xcfba9599, 0xb8bda50f,
0x2802b89e, 0x5f058808, 0xc60cd9b2, 0xb10be924,
0x2f6f7c87, 0x58684c11, 0xc1611dab, 0xb6662d3d,
0x76dc4190, 0x01db7106, 0x98d220bc, 0xefd5102a,
0x71b18589, 0x06b6b51f, 0x9fbfe4a5, 0xe8b8d433,
0x7807c9a2, 0x0f00f934, 0x9609a88e, 0xe10e9818,
0x7f6a0dbb, 0x086d3d2d, 0x91646c97, 0xe6635c01,
0x6b6b51f4, 0x1c6c6162, 0x856530d8, 0xf262004e,
0x6c0695ed, 0x1b01a57b, 0x8208f4c1, 0xf50fc457,
0x65b0d9c6, 0x12b7e950, 0x8bbeb8ea, 0xfcb9887c,
0x62dd1ddf, 0x15da2d49, 0x8cd37cf3, 0xfbd44c65,
0x4db26158, 0x3ab551ce, 0xa3bc0074, 0xd4bb30e2,
0x4adfa541, 0x3dd895d7, 0xa4d1c46d, 0xd3d6f4fb,
0x4369e96a, 0x346ed9fc, 0xad678846, 0xda60b8d0,
0x44042d73, 0x33031de5, 0xaa0a4c5f, 0xdd0d7cc9,
0x5005713c, 0x270241aa, 0xbe0b1010, 0xc90c2086,
0x5768b525, 0x206f85b3, 0xb966d409, 0xce61e49f,
0x5edef90e, 0x29d9c998, 0xb0d09822, 0xc7d7a8b4,
0x59b33d17, 0x2eb40d81, 0xb7bd5c3b, 0xc0ba6cad,
0xedb88320, 0x9abfb3b6, 0x03b6e20c, 0x74b1d29a,
0xead54739, 0x9dd277af, 0x04db2615, 0x73dc1683,
0xe3630b12, 0x94643b84, 0x0d6d6a3e, 0x7a6a5aa8,
0xe40ecf0b, 0x9309ff9d, 0x0a00ae27, 0x7d079eb1,
0xf00f9344, 0x8708a3d2, 0x1e01f268, 0x6906c2fe,
0xf762575d, 0x806567cb, 0x196c3671, 0x6e6b06e7,
0xfed41b76, 0x89d32be0, 0x10da7a5a, 0x67dd4acc,
0xf9b9df6f, 0x8ebeeff9, 0x17b7be43, 0x60b08ed5,
0xd6d6a3e8, 0xa1d1937e, 0x38d8c2c4, 0x4fdff252,
0xd1bb67f1, 0xa6bc5767, 0x3fb506dd, 0x48b2364b,
0xd80d2bda, 0xaf0a1b4c, 0x36034af6, 0x41047a60,
0xdf60efc3, 0xa867df55, 0x316e8eef, 0x4669be79,
0xcb61b38c, 0xbc66831a, 0x256fd2a0, 0x5268e236,
0xcc0c7795, 0xbb0b4703, 0x220216b9, 0x5505262f,
0xc5ba3bbe, 0xb2bd0b28, 0x2bb45a92, 0x5cb36a04,
0xc2d7ffa7, 0xb5d0cf31, 0x2cd99e8b, 0x5bdeae1d,
0x9b64c2b0, 0xec63f226, 0x756aa39c, 0x026d930a,
0x9c0906a9, 0xeb0e363f, 0x72076785, 0x05005713,
0x95bf4a82, 0xe2b87a14, 0x7bb12bae, 0x0cb61b38,
0x92d28e9b, 0xe5d5be0d, 0x7cdcefb7, 0x0bdbdf21,
0x86d3d2d4, 0xf1d4e242, 0x68ddb3f8, 0x1fda836e,
0x81be16cd, 0xf6b9265b, 0x6fb077e1, 0x18b74777,
0x88085ae6, 0xff0f6a70, 0x66063bca, 0x11010b5c,
0x8f659eff, 0xf862ae69, 0x616bffd3, 0x166ccf45,
0xa00ae278, 0xd70dd2ee, 0x4e048354, 0x3903b3c2,
0xa7672661, 0xd06016f7, 0x4969474d, 0x3e6e77db,
0xaed16a4a, 0xd9d65adc, 0x40df0b66, 0x37d83bf0,
0xa9bcae53, 0xdebb9ec5, 0x47b2cf7f, 0x30b5ffe9,
0xbdbdf21c, 0xcabac28a, 0x53b39330, 0x24b4a3a6,
0xbad03605, 0xcdd70693, 0x54de5729, 0x23d967bf,
0xb3667a2e, 0xc4614ab8, 0x5d681b02, 0x2a6f2b94,
0xb40bbe37, 0xc30c8ea1, 0x5a05df1b, 0x2d02ef8d,
};
unsigned int
crc32_sz(char *buf, int size)
{
unsigned int crc = ~((unsigned int) 0);
char *p;
int len,
nr;
len = 0;
nr = size;
for (len += nr, p = buf; nr--; ++p)
_CRC32_(crc, *p);
return ~crc;
}

13
contrib/hstore/crc32.h
View File

@ -1,13 +0,0 @@
/*
* contrib/hstore/crc32.h
*/
#ifndef _CRC32_H
#define _CRC32_H
/* Returns crc32 of data block */
extern unsigned int crc32_sz(char *buf, int size);
/* Returns crc32 of null-terminated string */
#define crc32(buf) crc32_sz((buf),strlen(buf))
#endif

16
contrib/hstore/hstore_gist.c
View File

@ -6,8 +6,8 @@
#include "access/gist.h"
#include "access/skey.h"
#include "catalog/pg_type.h"
#include "utils/pg_crc.h"
#include "crc32.h"
#include "hstore.h"
/* bigint defines */
@ -68,6 +68,20 @@ typedef struct
#define WISH_F(a,b,c) (double)( -(double)(((a)-(b))*((a)-(b))*((a)-(b)))*(c) )
/* shorthand for calculating CRC-32 of a single chunk of data. */
static pg_crc32
crc32_sz(char *buf, int size)
{
pg_crc32 crc;
INIT_TRADITIONAL_CRC32(crc);
COMP_TRADITIONAL_CRC32(crc, buf, size);
FIN_TRADITIONAL_CRC32(crc);
return crc;
}
PG_FUNCTION_INFO_V1(ghstore_in);
PG_FUNCTION_INFO_V1(ghstore_out);

112
contrib/ltree/crc32.c
View File

@ -1,7 +1,12 @@
/* Both POSIX and CRC32 checksums */
/* contrib/ltree/crc32.c */
/*
* Implements CRC-32, as used in ltree.
*
* Note that the CRC is used in the on-disk format of GiST indexes, so we
* must stay backwards-compatible!
*/
#include "postgres.h"
#include <sys/types.h>
@ -15,100 +20,23 @@
#define TOLOWER(x) (x)
#endif
#include "utils/pg_crc.h"
#include "crc32.h"
/*
* This code implements the AUTODIN II polynomial
* The variable corresponding to the macro argument "crc" should
* be an unsigned long.
* Oroginal code by Spencer Garrett <srg@quick.com>
*/
#define _CRC32_(crc, ch) ((crc) = ((crc) >> 8) ^ crc32tab[((crc) ^ (ch)) & 0xff])
/* generated using the AUTODIN II polynomial
* x^32 + x^26 + x^23 + x^22 + x^16 +
* x^12 + x^11 + x^10 + x^8 + x^7 + x^5 + x^4 + x^2 + x^1 + 1
*/
static const unsigned int crc32tab[256] = {
0x00000000, 0x77073096, 0xee0e612c, 0x990951ba,
0x076dc419, 0x706af48f, 0xe963a535, 0x9e6495a3,
0x0edb8832, 0x79dcb8a4, 0xe0d5e91e, 0x97d2d988,
0x09b64c2b, 0x7eb17cbd, 0xe7b82d07, 0x90bf1d91,
0x1db71064, 0x6ab020f2, 0xf3b97148, 0x84be41de,
0x1adad47d, 0x6ddde4eb, 0xf4d4b551, 0x83d385c7,
0x136c9856, 0x646ba8c0, 0xfd62f97a, 0x8a65c9ec,
0x14015c4f, 0x63066cd9, 0xfa0f3d63, 0x8d080df5,
0x3b6e20c8, 0x4c69105e, 0xd56041e4, 0xa2677172,
0x3c03e4d1, 0x4b04d447, 0xd20d85fd, 0xa50ab56b,
0x35b5a8fa, 0x42b2986c, 0xdbbbc9d6, 0xacbcf940,
0x32d86ce3, 0x45df5c75, 0xdcd60dcf, 0xabd13d59,
0x26d930ac, 0x51de003a, 0xc8d75180, 0xbfd06116,
0x21b4f4b5, 0x56b3c423, 0xcfba9599, 0xb8bda50f,
0x2802b89e, 0x5f058808, 0xc60cd9b2, 0xb10be924,
0x2f6f7c87, 0x58684c11, 0xc1611dab, 0xb6662d3d,
0x76dc4190, 0x01db7106, 0x98d220bc, 0xefd5102a,
0x71b18589, 0x06b6b51f, 0x9fbfe4a5, 0xe8b8d433,
0x7807c9a2, 0x0f00f934, 0x9609a88e, 0xe10e9818,
0x7f6a0dbb, 0x086d3d2d, 0x91646c97, 0xe6635c01,
0x6b6b51f4, 0x1c6c6162, 0x856530d8, 0xf262004e,
0x6c0695ed, 0x1b01a57b, 0x8208f4c1, 0xf50fc457,
0x65b0d9c6, 0x12b7e950, 0x8bbeb8ea, 0xfcb9887c,
0x62dd1ddf, 0x15da2d49, 0x8cd37cf3, 0xfbd44c65,
0x4db26158, 0x3ab551ce, 0xa3bc0074, 0xd4bb30e2,
0x4adfa541, 0x3dd895d7, 0xa4d1c46d, 0xd3d6f4fb,
0x4369e96a, 0x346ed9fc, 0xad678846, 0xda60b8d0,
0x44042d73, 0x33031de5, 0xaa0a4c5f, 0xdd0d7cc9,
0x5005713c, 0x270241aa, 0xbe0b1010, 0xc90c2086,
0x5768b525, 0x206f85b3, 0xb966d409, 0xce61e49f,
0x5edef90e, 0x29d9c998, 0xb0d09822, 0xc7d7a8b4,
0x59b33d17, 0x2eb40d81, 0xb7bd5c3b, 0xc0ba6cad,
0xedb88320, 0x9abfb3b6, 0x03b6e20c, 0x74b1d29a,
0xead54739, 0x9dd277af, 0x04db2615, 0x73dc1683,
0xe3630b12, 0x94643b84, 0x0d6d6a3e, 0x7a6a5aa8,
0xe40ecf0b, 0x9309ff9d, 0x0a00ae27, 0x7d079eb1,
0xf00f9344, 0x8708a3d2, 0x1e01f268, 0x6906c2fe,
0xf762575d, 0x806567cb, 0x196c3671, 0x6e6b06e7,
0xfed41b76, 0x89d32be0, 0x10da7a5a, 0x67dd4acc,
0xf9b9df6f, 0x8ebeeff9, 0x17b7be43, 0x60b08ed5,
0xd6d6a3e8, 0xa1d1937e, 0x38d8c2c4, 0x4fdff252,
0xd1bb67f1, 0xa6bc5767, 0x3fb506dd, 0x48b2364b,
0xd80d2bda, 0xaf0a1b4c, 0x36034af6, 0x41047a60,
0xdf60efc3, 0xa867df55, 0x316e8eef, 0x4669be79,
0xcb61b38c, 0xbc66831a, 0x256fd2a0, 0x5268e236,
0xcc0c7795, 0xbb0b4703, 0x220216b9, 0x5505262f,
0xc5ba3bbe, 0xb2bd0b28, 0x2bb45a92, 0x5cb36a04,
0xc2d7ffa7, 0xb5d0cf31, 0x2cd99e8b, 0x5bdeae1d,
0x9b64c2b0, 0xec63f226, 0x756aa39c, 0x026d930a,
0x9c0906a9, 0xeb0e363f, 0x72076785, 0x05005713,
0x95bf4a82, 0xe2b87a14, 0x7bb12bae, 0x0cb61b38,
0x92d28e9b, 0xe5d5be0d, 0x7cdcefb7, 0x0bdbdf21,
0x86d3d2d4, 0xf1d4e242, 0x68ddb3f8, 0x1fda836e,
0x81be16cd, 0xf6b9265b, 0x6fb077e1, 0x18b74777,
0x88085ae6, 0xff0f6a70, 0x66063bca, 0x11010b5c,
0x8f659eff, 0xf862ae69, 0x616bffd3, 0x166ccf45,
0xa00ae278, 0xd70dd2ee, 0x4e048354, 0x3903b3c2,
0xa7672661, 0xd06016f7, 0x4969474d, 0x3e6e77db,
0xaed16a4a, 0xd9d65adc, 0x40df0b66, 0x37d83bf0,
0xa9bcae53, 0xdebb9ec5, 0x47b2cf7f, 0x30b5ffe9,
0xbdbdf21c, 0xcabac28a, 0x53b39330, 0x24b4a3a6,
0xbad03605, 0xcdd70693, 0x54de5729, 0x23d967bf,
0xb3667a2e, 0xc4614ab8, 0x5d681b02, 0x2a6f2b94,
0xb40bbe37, 0xc30c8ea1, 0x5a05df1b, 0x2d02ef8d,
};
unsigned int
ltree_crc32_sz(char *buf, int size)
{
unsigned int crc = ~((unsigned int) 0);
char *p;
int len,
nr;
pg_crc32 crc;
char *p = buf;
len = 0;
nr = size;
for (len += nr, p = buf; nr--; ++p)
_CRC32_(crc, TOLOWER((unsigned int) *p));
return ~crc;
INIT_TRADITIONAL_CRC32(crc);
while (size > 0)
{
char c = (char) TOLOWER(*p);
COMP_TRADITIONAL_CRC32(crc, &c, 1);
size--;
p++;
}
FIN_TRADITIONAL_CRC32(crc);
return (unsigned int) crc;
}

6
contrib/pg_trgm/trgm_op.c
View File

@ -108,9 +108,9 @@ compact_trigram(trgm *tptr, char *str, int bytelen)
{
pg_crc32 crc;
INIT_CRC32(crc);
COMP_CRC32(crc, str, bytelen);
FIN_CRC32(crc);
INIT_LEGACY_CRC32(crc);
COMP_LEGACY_CRC32(crc, str, bytelen);
FIN_LEGACY_CRC32(crc);
/*
* use only 3 upper bytes from crc, hope, it's good enough hashing

24
src/backend/access/transam/twophase.c
View File

@ -847,9 +847,9 @@ TwoPhaseGetDummyProc(TransactionId xid)
* 6. TwoPhaseRecordOnDisk
* 7. ...
* 8. TwoPhaseRecordOnDisk (end sentinel, rmid == TWOPHASE_RM_END_ID)
* 9. CRC32
* 9. checksum (CRC-32C)
*
* Each segment except the final CRC32 is MAXALIGN'd.
* Each segment except the final checksum is MAXALIGN'd.
*/
/*
@ -1056,11 +1056,11 @@ EndPrepare(GlobalTransaction gxact)
path)));
/* Write data to file, and calculate CRC as we pass over it */
INIT_CRC32(statefile_crc);
INIT_CRC32C(statefile_crc);
for (record = records.head; record != NULL; record = record->next)
{
COMP_CRC32(statefile_crc, record->data, record->len);
COMP_CRC32C(statefile_crc, record->data, record->len);
if ((write(fd, record->data, record->len)) != record->len)
{
CloseTransientFile(fd);
@ -1070,7 +1070,7 @@ EndPrepare(GlobalTransaction gxact)
}
}
FIN_CRC32(statefile_crc);
FIN_CRC32C(statefile_crc);
/*
* Write a deliberately bogus CRC to the state file; this is just paranoia
@ -1289,13 +1289,13 @@ ReadTwoPhaseFile(TransactionId xid, bool give_warnings)
return NULL;
}
INIT_CRC32(calc_crc);
COMP_CRC32(calc_crc, buf, crc_offset);
FIN_CRC32(calc_crc);
INIT_CRC32C(calc_crc);
COMP_CRC32C(calc_crc, buf, crc_offset);
FIN_CRC32C(calc_crc);
file_crc = *((pg_crc32 *) (buf + crc_offset));
if (!EQ_CRC32(calc_crc, file_crc))
if (!EQ_CRC32C(calc_crc, file_crc))
{
pfree(buf);
return NULL;
@ -1540,9 +1540,9 @@ RecreateTwoPhaseFile(TransactionId xid, void *content, int len)
int fd;
/* Recompute CRC */
INIT_CRC32(statefile_crc);
COMP_CRC32(statefile_crc, content, len);
FIN_CRC32(statefile_crc);
INIT_CRC32C(statefile_crc);
COMP_CRC32C(statefile_crc, content, len);
FIN_CRC32C(statefile_crc);
TwoPhaseFilePath(path, xid);

50
src/backend/access/transam/xlog.c
View File

@ -1059,9 +1059,9 @@ begin:;
* the whole record in the order: rdata, then backup blocks, then record
* header.
*/
INIT_CRC32(rdata_crc);
INIT_CRC32C(rdata_crc);
for (rdt = rdata; rdt != NULL; rdt = rdt->next)
COMP_CRC32(rdata_crc, rdt->data, rdt->len);
COMP_CRC32C(rdata_crc, rdt->data, rdt->len);
/*
* Construct record header (prev-link is filled in later, after reserving
@ -1076,7 +1076,7 @@ begin:;
rechdr->xl_info = info;
rechdr->xl_rmid = rmid;
rechdr->xl_prev = InvalidXLogRecPtr;
COMP_CRC32(rdata_crc, ((char *) rechdr), offsetof(XLogRecord, xl_prev));
COMP_CRC32C(rdata_crc, ((char *) rechdr), offsetof(XLogRecord, xl_prev));
hdr_rdt.next = rdata;
hdr_rdt.data = (char *) rechdr;
@ -1193,8 +1193,8 @@ begin:;
* Now that xl_prev has been filled in, finish CRC calculation of the
* record header.
*/
COMP_CRC32(rdata_crc, ((char *) &rechdr->xl_prev), sizeof(XLogRecPtr));
FIN_CRC32(rdata_crc);
COMP_CRC32C(rdata_crc, ((char *) &rechdr->xl_prev), sizeof(XLogRecPtr));
FIN_CRC32C(rdata_crc);
rechdr->xl_crc = rdata_crc;
/*
@ -4344,11 +4344,11 @@ WriteControlFile(void)
ControlFile->float8ByVal = FLOAT8PASSBYVAL;
/* Contents are protected with a CRC */
INIT_CRC32(ControlFile->crc);
COMP_CRC32(ControlFile->crc,
(char *) ControlFile,
offsetof(ControlFileData, crc));
FIN_CRC32(ControlFile->crc);
INIT_CRC32C(ControlFile->crc);
COMP_CRC32C(ControlFile->crc,
(char *) ControlFile,
offsetof(ControlFileData, crc));
FIN_CRC32C(ControlFile->crc);
/*
* We write out PG_CONTROL_SIZE bytes into pg_control, zero-padding the
@ -4444,13 +4444,13 @@ ReadControlFile(void)
errhint("It looks like you need to initdb.")));
/* Now check the CRC. */
INIT_CRC32(crc);
COMP_CRC32(crc,
(char *) ControlFile,
offsetof(ControlFileData, crc));
FIN_CRC32(crc);
INIT_CRC32C(crc);
COMP_CRC32C(crc,
(char *) ControlFile,
offsetof(ControlFileData, crc));
FIN_CRC32C(crc);
if (!EQ_CRC32(crc, ControlFile->crc))
if (!EQ_CRC32C(crc, ControlFile->crc))
ereport(FATAL,
(errmsg("incorrect checksum in control file")));
@ -4593,11 +4593,11 @@ UpdateControlFile(void)
{
int fd;
INIT_CRC32(ControlFile->crc);
COMP_CRC32(ControlFile->crc,
(char *) ControlFile,
offsetof(ControlFileData, crc));
FIN_CRC32(ControlFile->crc);
INIT_CRC32C(ControlFile->crc);
COMP_CRC32C(ControlFile->crc,
(char *) ControlFile,
offsetof(ControlFileData, crc));
FIN_CRC32C(ControlFile->crc);
fd = BasicOpenFile(XLOG_CONTROL_FILE,
O_RDWR | PG_BINARY,
@ -4975,10 +4975,10 @@ BootStrapXLOG(void)
record->xl_rmid = RM_XLOG_ID;
memcpy(XLogRecGetData(record), &checkPoint, sizeof(checkPoint));
INIT_CRC32(crc);
COMP_CRC32(crc, &checkPoint, sizeof(checkPoint));
COMP_CRC32(crc, (char *) record, offsetof(XLogRecord, xl_crc));
FIN_CRC32(crc);
INIT_CRC32C(crc);
COMP_CRC32C(crc, &checkPoint, sizeof(checkPoint));
COMP_CRC32C(crc, (char *) record, offsetof(XLogRecord, xl_crc));
FIN_CRC32C(crc);
record->xl_crc = crc;
/* Create first XLOG segment file */

12
src/backend/access/transam/xlogreader.c
View File

@ -684,8 +684,8 @@ ValidXLogRecord(XLogReaderState *state, XLogRecord *record, XLogRecPtr recptr)
return false;
}
remaining -= SizeOfXLogRecord + len;
INIT_CRC32(crc);
COMP_CRC32(crc, XLogRecGetData(record), len);
INIT_CRC32C(crc);
COMP_CRC32C(crc, XLogRecGetData(record), len);
/* Add in the backup blocks, if any */
blk = (char *) XLogRecGetData(record) + len;
@ -722,7 +722,7 @@ ValidXLogRecord(XLogReaderState *state, XLogRecord *record, XLogRecPtr recptr)
return false;
}
remaining -= blen;
COMP_CRC32(crc, blk, blen);
COMP_CRC32C(crc, blk, blen);
blk += blen;
}
@ -736,10 +736,10 @@ ValidXLogRecord(XLogReaderState *state, XLogRecord *record, XLogRecPtr recptr)
}
/* Finally include the record header */
COMP_CRC32(crc, (char *) record, offsetof(XLogRecord, xl_crc));
FIN_CRC32(crc);
COMP_CRC32C(crc, (char *) record, offsetof(XLogRecord, xl_crc));
FIN_CRC32C(crc);
if (!EQ_CRC32(record->xl_crc, crc))
if (!EQ_CRC32C(record->xl_crc, crc))
{
report_invalid_record(state,
"incorrect resource manager data checksum in record at %X/%X",

28
src/backend/replication/logical/snapbuild.c
View File

@ -1517,9 +1517,9 @@ SnapBuildSerialize(SnapBuild *builder, XLogRecPtr lsn)
ondisk->magic = SNAPBUILD_MAGIC;
ondisk->version = SNAPBUILD_VERSION;
ondisk->length = needed_length;
INIT_CRC32(ondisk->checksum);
COMP_CRC32(ondisk->checksum,
((char *) ondisk) + SnapBuildOnDiskNotChecksummedSize,
INIT_CRC32C(ondisk->checksum);
COMP_CRC32C(ondisk->checksum,
((char *) ondisk) + SnapBuildOnDiskNotChecksummedSize,
SnapBuildOnDiskConstantSize - SnapBuildOnDiskNotChecksummedSize);
ondisk_c += sizeof(SnapBuildOnDisk);
@ -1531,20 +1531,20 @@ SnapBuildSerialize(SnapBuild *builder, XLogRecPtr lsn)
ondisk->builder.running.xip = NULL;
ondisk->builder.committed.xip = NULL;
COMP_CRC32(ondisk->checksum,
&ondisk->builder,
sizeof(SnapBuild));
COMP_CRC32C(ondisk->checksum,
&ondisk->builder,
sizeof(SnapBuild));
/* copy running xacts */
sz = sizeof(TransactionId) * builder->running.xcnt_space;
memcpy(ondisk_c, builder->running.xip, sz);
COMP_CRC32(ondisk->checksum, ondisk_c, sz);
COMP_CRC32C(ondisk->checksum, ondisk_c, sz);
ondisk_c += sz;
/* copy committed xacts */
sz = sizeof(TransactionId) * builder->committed.xcnt;
memcpy(ondisk_c, builder->committed.xip, sz);
COMP_CRC32(ondisk->checksum, ondisk_c, sz);
COMP_CRC32C(ondisk->checksum, ondisk_c, sz);
ondisk_c += sz;
/* we have valid data now, open tempfile and write it there */
@ -1672,8 +1672,8 @@ SnapBuildRestore(SnapBuild *builder, XLogRecPtr lsn)
(errmsg("snapbuild state file \"%s\" has unsupported version %u instead of %u",
path, ondisk.version, SNAPBUILD_VERSION)));
INIT_CRC32(checksum);
COMP_CRC32(checksum,
INIT_CRC32C(checksum);
COMP_CRC32C(checksum,
((char *) &ondisk) + SnapBuildOnDiskNotChecksummedSize,
SnapBuildOnDiskConstantSize - SnapBuildOnDiskNotChecksummedSize);
@ -1687,7 +1687,7 @@ SnapBuildRestore(SnapBuild *builder, XLogRecPtr lsn)
errmsg("could not read file \"%s\", read %d of %d: %m",
path, readBytes, (int) sizeof(SnapBuild))));
}
COMP_CRC32(checksum, &ondisk.builder, sizeof(SnapBuild));
COMP_CRC32C(checksum, &ondisk.builder, sizeof(SnapBuild));
/* restore running xacts information */
sz = sizeof(TransactionId) * ondisk.builder.running.xcnt_space;
@ -1701,7 +1701,7 @@ SnapBuildRestore(SnapBuild *builder, XLogRecPtr lsn)
errmsg("could not read file \"%s\", read %d of %d: %m",
path, readBytes, (int) sz)));
}
COMP_CRC32(checksum, ondisk.builder.running.xip, sz);
COMP_CRC32C(checksum, ondisk.builder.running.xip, sz);
/* restore committed xacts information */
sz = sizeof(TransactionId) * ondisk.builder.committed.xcnt;
@ -1715,12 +1715,12 @@ SnapBuildRestore(SnapBuild *builder, XLogRecPtr lsn)
errmsg("could not read file \"%s\", read %d of %d: %m",
path, readBytes, (int) sz)));
}
COMP_CRC32(checksum, ondisk.builder.committed.xip, sz);
COMP_CRC32C(checksum, ondisk.builder.committed.xip, sz);
CloseTransientFile(fd);
/* verify checksum of what we've read */
if (!EQ_CRC32(checksum, ondisk.checksum))
if (!EQ_CRC32C(checksum, ondisk.checksum))
ereport(ERROR,
(errcode_for_file_access(),
errmsg("snapbuild state file %s: checksum mismatch, is %u, should be %u",

20
src/backend/replication/slot.c
View File

@ -993,7 +993,7 @@ SaveSlotToPath(ReplicationSlot *slot, const char *dir, int elevel)
}
cp.magic = SLOT_MAGIC;
INIT_CRC32(cp.checksum);
INIT_CRC32C(cp.checksum);
cp.version = 1;
cp.length = ReplicationSlotOnDiskDynamicSize;
@ -1003,9 +1003,9 @@ SaveSlotToPath(ReplicationSlot *slot, const char *dir, int elevel)
SpinLockRelease(&slot->mutex);
COMP_CRC32(cp.checksum,
(char *) (&cp) + ReplicationSlotOnDiskConstantSize,
ReplicationSlotOnDiskDynamicSize);
COMP_CRC32C(cp.checksum,
(char *) (&cp) + ReplicationSlotOnDiskConstantSize,
ReplicationSlotOnDiskDynamicSize);
if ((write(fd, &cp, sizeof(cp))) != sizeof(cp))
{
@ -1181,13 +1181,13 @@ RestoreSlotFromDisk(const char *name)
CloseTransientFile(fd);
/* now verify the CRC32 */
INIT_CRC32(checksum);
COMP_CRC32(checksum,
(char *) &cp + ReplicationSlotOnDiskConstantSize,
ReplicationSlotOnDiskDynamicSize);
/* now verify the CRC */
INIT_CRC32C(checksum);
COMP_CRC32C(checksum,
(char *) &cp + ReplicationSlotOnDiskConstantSize,
ReplicationSlotOnDiskDynamicSize);
if (!EQ_CRC32(checksum, cp.checksum))
if (!EQ_CRC32C(checksum, cp.checksum))
ereport(PANIC,
(errmsg("replication slot file %s: checksum mismatch, is %u, should be %u",
path, checksum, cp.checksum)));

6
src/backend/utils/adt/tsgistidx.c
View File

@ -201,9 +201,9 @@ gtsvector_compress(PG_FUNCTION_ARGS)
{
pg_crc32 c;
INIT_CRC32(c);
COMP_CRC32(c, words + ptr->pos, ptr->len);
FIN_CRC32(c);
INIT_LEGACY_CRC32(c);
COMP_LEGACY_CRC32(c, words + ptr->pos, ptr->len);
FIN_LEGACY_CRC32(c);
*arr = *(int32 *) &c;
arr++;

12
src/backend/utils/adt/tsquery.c
View File

@ -280,9 +280,9 @@ pushValue(TSQueryParserState state, char *strval, int lenval, int16 weight, bool
errmsg("word is too long in tsquery: \"%s\"",
state->buffer)));
INIT_CRC32(valcrc);
COMP_CRC32(valcrc, strval, lenval);
FIN_CRC32(valcrc);
INIT_LEGACY_CRC32(valcrc);
COMP_LEGACY_CRC32(valcrc, strval, lenval);
FIN_LEGACY_CRC32(valcrc);
pushValue_internal(state, valcrc, state->curop - state->op, lenval, weight, prefix);
/* append the value string to state.op, enlarging buffer if needed first */
@ -883,9 +883,9 @@ tsqueryrecv(PG_FUNCTION_ARGS)
/* Looks valid. */
INIT_CRC32(valcrc);
COMP_CRC32(valcrc, val, val_len);
FIN_CRC32(valcrc);
INIT_LEGACY_CRC32(valcrc);
COMP_LEGACY_CRC32(valcrc, val, val_len);
FIN_LEGACY_CRC32(valcrc);
item->qoperand.weight = weight;
item->qoperand.prefix = (prefix) ? true : false;

16
src/backend/utils/cache/relmapper.c vendored
View File

@ -84,7 +84,7 @@ typedef struct RelMapFile
int32 magic; /* always RELMAPPER_FILEMAGIC */
int32 num_mappings; /* number of valid RelMapping entries */
RelMapping mappings[MAX_MAPPINGS];
int32 crc; /* CRC of all above */
pg_crc32 crc; /* CRC of all above */
int32 pad; /* to make the struct size be 512 exactly */
} RelMapFile;
@ -673,11 +673,11 @@ load_relmap_file(bool shared)
mapfilename)));
/* verify the CRC */
INIT_CRC32(crc);
COMP_CRC32(crc, (char *) map, offsetof(RelMapFile, crc));
FIN_CRC32(crc);
INIT_CRC32C(crc);
COMP_CRC32C(crc, (char *) map, offsetof(RelMapFile, crc));
FIN_CRC32C(crc);
if (!EQ_CRC32(crc, map->crc))
if (!EQ_CRC32C(crc, map->crc))
ereport(FATAL,
(errmsg("relation mapping file \"%s\" contains incorrect checksum",
mapfilename)));
@ -719,9 +719,9 @@ write_relmap_file(bool shared, RelMapFile *newmap,
if (newmap->num_mappings < 0 || newmap->num_mappings > MAX_MAPPINGS)
elog(ERROR, "attempt to write bogus relation mapping");
INIT_CRC32(newmap->crc);
COMP_CRC32(newmap->crc, (char *) newmap, offsetof(RelMapFile, crc));
FIN_CRC32(newmap->crc);
INIT_CRC32C(newmap->crc);
COMP_CRC32C(newmap->crc, (char *) newmap, offsetof(RelMapFile, crc));
FIN_CRC32C(newmap->crc);
/*
* Open the target file. We prefer to do this before entering the

12
src/bin/pg_controldata/pg_controldata.c
View File

@ -178,13 +178,13 @@ main(int argc, char *argv[])
close(fd);
/* Check the CRC. */
INIT_CRC32(crc);
COMP_CRC32(crc,
(char *) &ControlFile,
offsetof(ControlFileData, crc));
FIN_CRC32(crc);
INIT_CRC32C(crc);
COMP_CRC32C(crc,
(char *) &ControlFile,
offsetof(ControlFileData, crc));
FIN_CRC32C(crc);
if (!EQ_CRC32(crc, ControlFile.crc))
if (!EQ_CRC32C(crc, ControlFile.crc))
printf(_("WARNING: Calculated CRC checksum does not match value stored in file.\n"
"Either the file is corrupt, or it has a different layout than this program\n"
"is expecting. The results below are untrustworthy.\n\n"));

30
src/bin/pg_resetxlog/pg_resetxlog.c
View File

@ -456,13 +456,13 @@ ReadControlFile(void)
((ControlFileData *) buffer)->pg_control_version == PG_CONTROL_VERSION)
{
/* Check the CRC. */
INIT_CRC32(crc);
COMP_CRC32(crc,
buffer,
offsetof(ControlFileData, crc));
FIN_CRC32(crc);
INIT_CRC32C(crc);
COMP_CRC32C(crc,
buffer,
offsetof(ControlFileData, crc));
FIN_CRC32C(crc);
if (EQ_CRC32(crc, ((ControlFileData *) buffer)->crc))
if (EQ_CRC32C(crc, ((ControlFileData *) buffer)->crc))
{
/* Valid data... */
memcpy(&ControlFile, buffer, sizeof(ControlFile));
@ -747,11 +747,11 @@ RewriteControlFile(void)
ControlFile.xlog_seg_size = XLogSegSize;
/* Contents are protected with a CRC */
INIT_CRC32(ControlFile.crc);
COMP_CRC32(ControlFile.crc,
(char *) &ControlFile,
offsetof(ControlFileData, crc));
FIN_CRC32(ControlFile.crc);
INIT_CRC32C(ControlFile.crc);
COMP_CRC32C(ControlFile.crc,
(char *) &ControlFile,
offsetof(ControlFileData, crc));
FIN_CRC32C(ControlFile.crc);
/*
* We write out PG_CONTROL_SIZE bytes into pg_control, zero-padding the
@ -1032,10 +1032,10 @@ WriteEmptyXLOG(void)
memcpy(XLogRecGetData(record), &ControlFile.checkPointCopy,
sizeof(CheckPoint));
INIT_CRC32(crc);
COMP_CRC32(crc, &ControlFile.checkPointCopy, sizeof(CheckPoint));
COMP_CRC32(crc, (char *) record, offsetof(XLogRecord, xl_crc));
FIN_CRC32(crc);
INIT_CRC32C(crc);
COMP_CRC32C(crc, &ControlFile.checkPointCopy, sizeof(CheckPoint));
COMP_CRC32C(crc, (char *) record, offsetof(XLogRecord, xl_crc));
FIN_CRC32C(crc);
record->xl_crc = crc;
/* Write the first page */

2
src/include/access/xlog_internal.h
View File

@ -55,7 +55,7 @@ typedef struct BkpBlock
/*
* Each page of XLOG file has a header like this:
*/
#define XLOG_PAGE_MAGIC 0xD07F /* can be used as WAL version indicator */
#define XLOG_PAGE_MAGIC 0xD080 /* can be used as WAL version indicator */
typedef struct XLogPageHeaderData
{

2
src/include/catalog/catversion.h
View File

@ -53,6 +53,6 @@
*/
/* yyyymmddN */
#define CATALOG_VERSION_NO 201410071
#define CATALOG_VERSION_NO 201411041
#endif

93
src/include/utils/pg_crc.h
View File

@ -7,9 +7,22 @@
* A PAINLESS GUIDE TO CRC ERROR DETECTION ALGORITHMS, available from
* http://www.ross.net/crc/ or several other net sites.
*
* We use a normal (not "reflected", in Williams' terms) CRC, using initial
* all-ones register contents and a final bit inversion.
* We have three slightly different variants of a 32-bit CRC calculation:
* CRC-32C (Castagnoli polynomial), CRC-32 (Ethernet polynomial), and a legacy
* CRC-32 version that uses the lookup table in a funny way. They all consist
* of four macros:
*
* INIT_<variant>(crc)
* Initialize a CRC accumulator
*
* COMP_<variant>(crc, data, len)
* Accumulate some (more) bytes into a CRC
*
* FIN_<variant>(crc)
* Finish a CRC calculation
*
* EQ_<variant>(c1, c2)
* Check for equality of two CRCs.
*
* Portions Copyright (c) 1996-2014, PostgreSQL Global Development Group
* Portions Copyright (c) 1994, Regents of the University of California
@ -28,29 +41,81 @@
typedef uint32 pg_crc32;
/* Initialize a CRC accumulator */
#define INIT_CRC32(crc) ((crc) = 0xFFFFFFFF)
/*
* CRC calculation using the CRC-32C (Castagnoli) polynomial.
*
* We use all-ones as the initial register contents and final bit inversion.
* This is the same algorithm used e.g. in iSCSI. See RFC 3385 for more
* details on the choice of polynomial.
*/
#define INIT_CRC32C(crc) ((crc) = 0xFFFFFFFF)
#define FIN_CRC32C(crc) ((crc) ^= 0xFFFFFFFF)
#define COMP_CRC32C(crc, data, len) \
COMP_CRC32_NORMAL_TABLE(crc, data, len, pg_crc32c_table)
#define EQ_CRC32C(c1, c2) ((c1) == (c2))
/* Finish a CRC calculation */
#define FIN_CRC32(crc) ((crc) ^= 0xFFFFFFFF)
/*
* CRC-32, the same used e.g. in Ethernet.
*
* This is currently only used in ltree and hstore contrib modules. It uses
* the same lookup table as the legacy algorithm below. New code should
* use the Castagnoli version instead.
*/
#define INIT_TRADITIONAL_CRC32(crc) ((crc) = 0xFFFFFFFF)
#define FIN_TRADITIONAL_CRC32(crc) ((crc) ^= 0xFFFFFFFF)
#define COMP_TRADITIONAL_CRC32(crc, data, len) \
COMP_CRC32_NORMAL_TABLE(crc, data, len, pg_crc32_table)
#define EQ_TRADITIONAL_CRC32(c1, c2) ((c1) == (c2))
/* Accumulate some (more) bytes into a CRC */
#define COMP_CRC32(crc, data, len) \
do { \
/*
* The CRC algorithm used for WAL et al in pre-9.5 versions.
*
* This closely resembles the normal CRC-32 algorithm, but is subtly
* different. Using Williams' terms, we use the "normal" table, but with
* "reflected" code. That's bogus, but it was like that for years before
* anyone noticed. It does not correspond to any polynomial in a normal CRC
* algorithm, so it's not clear what the error-detection properties of this
* algorithm actually are.
*
* We still need to carry this around because it is used in a few on-disk
* structures that need to be pg_upgradeable. It should not be used in new
* code.
*/
#define INIT_LEGACY_CRC32(crc) ((crc) = 0xFFFFFFFF)
#define FIN_LEGACY_CRC32(crc) ((crc) ^= 0xFFFFFFFF)
#define COMP_LEGACY_CRC32(crc, data, len) \
COMP_CRC32_REFLECTED_TABLE(crc, data, len, pg_crc32_table)
#define EQ_LEGACY_CRC32(c1, c2) ((c1) == (c2))
/*
* Common code for CRC computation using a lookup table.
*/
#define COMP_CRC32_NORMAL_TABLE(crc, data, len, table) \
do { \
const unsigned char *__data = (const unsigned char *) (data); \
uint32 __len = (len); \
\
while (__len-- > 0) \
{ \
int __tab_index = ((int) ((crc) >> 24) ^ *__data++) & 0xFF; \
(crc) = pg_crc32_table[__tab_index] ^ ((crc) << 8); \
int __tab_index = ((int) (crc) ^ *__data++) & 0xFF; \
(crc) = table[__tab_index] ^ ((crc) >> 8); \
} \
} while (0)
/* Check for equality of two CRCs */
#define EQ_CRC32(c1,c2) ((c1) == (c2))
#define COMP_CRC32_REFLECTED_TABLE(crc, data, len, table) \
do { \
const unsigned char *__data = (const unsigned char *) (data); \
uint32 __len = (len); \
\
while (__len-- > 0) \
{ \
int __tab_index = ((int) ((crc) >> 24) ^ *__data++) & 0xFF; \
(crc) = table[__tab_index] ^ ((crc) << 8); \
} \
} while (0)
/* Constant table for CRC calculation */
/* Constant tables for CRC-32C and CRC-32 polynomials */
extern CRCDLLIMPORT const uint32 pg_crc32c_table[];
extern CRCDLLIMPORT const uint32 pg_crc32_table[];
#endif /* PG_CRC_H */

77
src/include/utils/pg_crc_tables.h
View File

@ -11,9 +11,8 @@
* A PAINLESS GUIDE TO CRC ERROR DETECTION ALGORITHMS, available from
* http://www.ross.net/crc/download/crc_v3.txt or several other net sites.
*
* We use a normal (not "reflected", in Williams' terms) CRC, using initial
* all-ones register contents and a final bit inversion.
*
* These lookup tables are for normal, not "reflected", in Williams' terms,
* CRC.
*
* Portions Copyright (c) 1996-2014, PostgreSQL Global Development Group
* Portions Copyright (c) 1994, Regents of the University of California
@ -25,6 +24,78 @@
#ifndef PG_CRC_TABLES_H
#define PG_CRC_TABLES_H
/*
* This table is based on the so-called Castagnoli polynomial (the same
* that is used e.g. in iSCSI).
*/
const uint32 pg_crc32c_table[256] = {
0x00000000, 0xF26B8303, 0xE13B70F7, 0x1350F3F4,
0xC79A971F, 0x35F1141C, 0x26A1E7E8, 0xD4CA64EB,
0x8AD958CF, 0x78B2DBCC, 0x6BE22838, 0x9989AB3B,
0x4D43CFD0, 0xBF284CD3, 0xAC78BF27, 0x5E133C24,
0x105EC76F, 0xE235446C, 0xF165B798, 0x030E349B,
0xD7C45070, 0x25AFD373, 0x36FF2087, 0xC494A384,
0x9A879FA0, 0x68EC1CA3, 0x7BBCEF57, 0x89D76C54,
0x5D1D08BF, 0xAF768BBC, 0xBC267848, 0x4E4DFB4B,
0x20BD8EDE, 0xD2D60DDD, 0xC186FE29, 0x33ED7D2A,
0xE72719C1, 0x154C9AC2, 0x061C6936, 0xF477EA35,
0xAA64D611, 0x580F5512, 0x4B5FA6E6, 0xB93425E5,
0x6DFE410E, 0x9F95C20D, 0x8CC531F9, 0x7EAEB2FA,
0x30E349B1, 0xC288CAB2, 0xD1D83946, 0x23B3BA45,
0xF779DEAE, 0x05125DAD, 0x1642AE59, 0xE4292D5A,
0xBA3A117E, 0x4851927D, 0x5B016189, 0xA96AE28A,
0x7DA08661, 0x8FCB0562, 0x9C9BF696, 0x6EF07595,
0x417B1DBC, 0xB3109EBF, 0xA0406D4B, 0x522BEE48,
0x86E18AA3, 0x748A09A0, 0x67DAFA54, 0x95B17957,
0xCBA24573, 0x39C9C670, 0x2A993584, 0xD8F2B687,
0x0C38D26C, 0xFE53516F, 0xED03A29B, 0x1F682198,
0x5125DAD3, 0xA34E59D0, 0xB01EAA24, 0x42752927,
0x96BF4DCC, 0x64D4CECF, 0x77843D3B, 0x85EFBE38,
0xDBFC821C, 0x2997011F, 0x3AC7F2EB, 0xC8AC71E8,
0x1C661503, 0xEE0D9600, 0xFD5D65F4, 0x0F36E6F7,
0x61C69362, 0x93AD1061, 0x80FDE395, 0x72966096,
0xA65C047D, 0x5437877E, 0x4767748A, 0xB50CF789,
0xEB1FCBAD, 0x197448AE, 0x0A24BB5A, 0xF84F3859,
0x2C855CB2, 0xDEEEDFB1, 0xCDBE2C45, 0x3FD5AF46,
0x7198540D, 0x83F3D70E, 0x90A324FA, 0x62C8A7F9,
0xB602C312, 0x44694011, 0x5739B3E5, 0xA55230E6,
0xFB410CC2, 0x092A8FC1, 0x1A7A7C35, 0xE811FF36,
0x3CDB9BDD, 0xCEB018DE, 0xDDE0EB2A, 0x2F8B6829,
0x82F63B78, 0x709DB87B, 0x63CD4B8F, 0x91A6C88C,
0x456CAC67, 0xB7072F64, 0xA457DC90, 0x563C5F93,
0x082F63B7, 0xFA44E0B4, 0xE9141340, 0x1B7F9043,
0xCFB5F4A8, 0x3DDE77AB, 0x2E8E845F, 0xDCE5075C,
0x92A8FC17, 0x60C37F14, 0x73938CE0, 0x81F80FE3,
0x55326B08, 0xA759E80B, 0xB4091BFF, 0x466298FC,
0x1871A4D8, 0xEA1A27DB, 0xF94AD42F, 0x0B21572C,
0xDFEB33C7, 0x2D80B0C4, 0x3ED04330, 0xCCBBC033,
0xA24BB5A6, 0x502036A5, 0x4370C551, 0xB11B4652,
0x65D122B9, 0x97BAA1BA, 0x84EA524E, 0x7681D14D,
0x2892ED69, 0xDAF96E6A, 0xC9A99D9E, 0x3BC21E9D,
0xEF087A76, 0x1D63F975, 0x0E330A81, 0xFC588982,
0xB21572C9, 0x407EF1CA, 0x532E023E, 0xA145813D,
0x758FE5D6, 0x87E466D5, 0x94B49521, 0x66DF1622,
0x38CC2A06, 0xCAA7A905, 0xD9F75AF1, 0x2B9CD9F2,
0xFF56BD19, 0x0D3D3E1A, 0x1E6DCDEE, 0xEC064EED,
0xC38D26C4, 0x31E6A5C7, 0x22B65633, 0xD0DDD530,
0x0417B1DB, 0xF67C32D8, 0xE52CC12C, 0x1747422F,
0x49547E0B, 0xBB3FFD08, 0xA86F0EFC, 0x5A048DFF,
0x8ECEE914, 0x7CA56A17, 0x6FF599E3, 0x9D9E1AE0,
0xD3D3E1AB, 0x21B862A8, 0x32E8915C, 0xC083125F,
0x144976B4, 0xE622F5B7, 0xF5720643, 0x07198540,
0x590AB964, 0xAB613A67, 0xB831C993, 0x4A5A4A90,
0x9E902E7B, 0x6CFBAD78, 0x7FAB5E8C, 0x8DC0DD8F,
0xE330A81A, 0x115B2B19, 0x020BD8ED, 0xF0605BEE,
0x24AA3F05, 0xD6C1BC06, 0xC5914FF2, 0x37FACCF1,
0x69E9F0D5, 0x9B8273D6, 0x88D28022, 0x7AB90321,
0xAE7367CA, 0x5C18E4C9, 0x4F48173D, 0xBD23943E,
0xF36E6F75, 0x0105EC76, 0x12551F82, 0xE03E9C81,
0x34F4F86A, 0xC69F7B69, 0xD5CF889D, 0x27A40B9E,
0x79B737BA, 0x8BDCB4B9, 0x988C474D, 0x6AE7C44E,
0xBE2DA0A5, 0x4C4623A6, 0x5F16D052, 0xAD7D5351
};
/*
* This table is based on the polynomial
* x^32+x^26+x^23+x^22+x^16+x^12+x^11+x^10+x^8+x^7+x^5+x^4+x^2+x+1.