CRC循环校验的具体算法(转)
/**********************************************************************
*
* Filename: main.c
*
* Description: A simple test program for the CRC implementations.
*
* Notes: To test a different CRC standard, modify crc.h.
*
*
* Copyright (c) 2000 by Michael Barr. This software is placed into
* the public domain and may be used for any purpose. However, this
* notice must not be changed or removed and no warranty is either
* expressed or implied by its publication or distribution.
**********************************************************************/
#include <stdio.h>
#include <string.h>
#include "crc.h"
void
main(void)
{
unsigned char test[] = "123456789";
/*
* Print the check value for the selected CRC algorithm.
*/
printf("The check value for the %s standard is 0x%X\n", CRC_NAME,
CHECK_VALUE);
/*
* Compute the CRC of the test message, slowly.
*/
*/
printf("The crcSlow() of \"123456789\" is 0x%X\n", crcSlow(test,
strlen(test)));
/*
* Compute the CRC of the test message, more efficiently.
*/
crcInit();
printf("The crcFast() of \"123456789\" is 0x%X\n", crcFast(test,
strlen(test)));
} /* main() */
/**********************************************************************
*
* Filename: crc.h
*
* Description: A header file describing the various CRC standards.
*
* Notes:
*
*
* Copyright (c) 2000 by Michael Barr. This software is placed into
* the public domain and may be used for any purpose. However, this
* notice must not be changed or removed and no warranty is either
* expressed or implied by its publication or distribution.
**********************************************************************/
#ifndef _crc_h
#define _crc_h
#define FALSE 0
#define TRUE !FALSE
/*
* Select the CRC standard from the list that follows.
*/
#define CRC_CCITT
#if defined(CRC_CCITT)
typedef unsigned short crc;
#define CRC_NAME "CRC-CCITT"
#define POLYNOMIAL 0x1021
#define INITIAL_REMAINDER 0xFFFF
#define FINAL_XOR_VALUE 0x0000
#define REFLECT_DATA FALSE
#define REFLECT_REMAINDER FALSE
#define CHECK_VALUE 0x29B1
#elif defined(CRC16)
typedef unsigned short crc;
#define CRC_NAME "CRC-16"
#define POLYNOMIAL 0x8005
#define INITIAL_REMAINDER 0x0000
#define FINAL_XOR_VALUE 0x0000
#define REFLECT_DATA TRUE
#define REFLECT_REMAINDER TRUE
#define CHECK_VALUE 0xBB3D
#elif defined(CRC32)
typedef unsigned long crc;
#define CRC_NAME "CRC-32"
#define POLYNOMIAL 0x04C11DB7
#define INITIAL_REMAINDER 0xFFFFFFFF
#define FINAL_XOR_VALUE 0xFFFFFFFF
#define REFLECT_DATA TRUE
#define REFLECT_REMAINDER TRUE
#define CHECK_VALUE 0xCBF43926
#else
#error "One of CRC_CCITT, CRC16, or CRC32 must be #define'd."
#endif
void crcInit(void);
crc crcSlow(unsigned char const message[], int nBytes);
crc crcFast(unsigned char const message[], int nBytes);
#endif /* _crc_h */
/**********************************************************************
*
* Filename: crc.c
*
* Description: Slow and fast implementations of the CRC standards.
*
* Notes: The parameters for each supported CRC standard are
* defined in the header file crc.h. The implementtations
* here should stand up to further additions to thaat list.
*
*
* Copyright (c) 2000 by Michael Barr. This software is placed into
* the public domain and may be used for any purpose. However, this
* notice must not be changed or removed and no warranty is either
* expressed or implied by its publication or distribution.
**********************************************************************/
#include "crc.h"
#include "crc.h"
/*
* Derive parameters from the standard-specific parameters in crc.h.
*/
#define WIDTH (8 * sizeof(crc))
#define TOPBIT (1 << (WIDTH - 1))
#if (REFLECT_DATA == TRUE)
#undef REFLECT_DATA
#define REFLECT_DATA(X) ((unsigned char) reflect((X), 8))
#else
#undef REFLECT_DATA
#define REFLECT_DATA(X) (X)
#endif
#if (REFLECT_REMAINDER == TRUE)
#undef REFLECT_REMAINDER
#define REFLECT_REMAINDER(X) ((crc) reflect((X), WIDTH))
#else
#undef REFLECT_REMAINDER
#define REFLECT_REMAINDER(X) (X)
#endif
/*********************************************************************
*
* Function: reflect()
*
* Description: Reorder the bits of a binary sequence, by reflecting
* them about the middle position.
*
* Notes: No checking is done that nBits <= 32.
*
* Returns: The reflection of the original data.
*
*********************************************************************/
static unsigned long
reflect(unsigned long data, unsigned char nBits)
{
unsigned long reflection = 0x00000000;
unsigned char bit;
/*
/*
* Reflect the data about the center bit.
*/
for (bit = 0; bit < nBits; ++bit)
{
/*
* If the LSB bit is set, set the reflection of it.
*/
if (data & 0x01)
{
reflection |= (1 << ((nBits - 1) - bit));
}
data = (data >> 1);
}
return (reflection);
} /* reflect() */
/*********************************************************************
*
*
* Function: crcSlow()
*
* Description: Compute the CRC of a given message.
*
* Notes:
*
* Returns: The CRC of the message.
*
*********************************************************************/
crc
crcSlow(unsigned char const message[], int nBytes)
{
crc remainder = INITIAL_REMAINDER;
int byte;
unsigned char bit;
/*
* Perform modulo-2 division, a byte at a time.
*/
for (byte = 0; byte < nBytes; ++byte)
{
{
/*
* Bring the next byte into the remainder.
*/
remainder ^= (REFLECT_DATA(message[byte]) << (WIDTH - 8));
/*
* Perform modulo-2 division, a bit at a time.
*/
for (bit = 8; bit > 0; --bit)
{
/*
* Try to divide the current data bit.
*/
if (remainder & TOPBIT)
{
remainder = (remainder << 1) ^ POLYNOMIAL;
}
else
{
remainder = (remainder << 1);
}
}
}
}
/*
* The final remainder is the CRC result.
*/
return (REFLECT_REMAINDER(remainder) ^ FINAL_XOR_VALUE);
} /* crcSlow() */
crc crcTable[256];
/*********************************************************************
*
* Function: crcInit()
*
* Description: Populate the partial CRC lookup table.
*
* Notes: This function must be rerun any time the CRC standard
* is changed. If desired, it can be run "offline"" and
* the table results stored in an embedded system'ss ROM.
*
* Returns: None defined.
*
*********************************************************************/
void
crcInit(void)
{
crc remainder;
int dividend;
unsigned char bit;
/*
* Compute the remainder of each possible dividend.
*/
for (dividend = 0; dividend < 256; ++dividend)
{
/*
* Start with the dividend followed by zeros.
*/
remainder = dividend << (WIDTH - 8);
/*
* Perform modulo-2 division, a bit at a time.
*/
for (bit = 8; bit > 0; --bit)
{
/*
* Try to divide the current data bit.
*/
if (remainder & TOPBIT)
{
remainder = (remainder << 1) ^ POLYNOMIAL;
}
else
{
remainder = (remainder << 1);
}
}
/*
* Store the result into the table.
*/
crcTable[dividend] = remainder;
}
} /* crcInit() */
/*********************************************************************
*
* Function: crcFast()
*
* Description: Compute the CRC of a given message.
*
* Notes: crcInit() must be called first.
*
* Returns: The CRC of the message.
*
*********************************************************************/
crc
crcFast(unsigned char const message[], int nBytes)
{
crc remainder = INITIAL_REMAINDER;
unsigned char data;
int byte;
int byte;
/*
* Divide the message by the polynomial, a byte at a time.
*/
for (byte = 0; byte < nBytes; ++byte)
{
data = REFLECT_DATA(message[byte]) ^ (remainder >> (WIDTH - 8));
remainder = crcTable[data] ^ (remainder << 8);
}
/*
* The final remainder is the CRC.
*/
return (REFLECT_REMAINDER(remainder) ^ FINAL_XOR_VALUE);
} /* crcFast() */
*
* Filename: main.c
*
* Description: A simple test program for the CRC implementations.
*
* Notes: To test a different CRC standard, modify crc.h.
*
*
* Copyright (c) 2000 by Michael Barr. This software is placed into
* the public domain and may be used for any purpose. However, this
* notice must not be changed or removed and no warranty is either
* expressed or implied by its publication or distribution.
**********************************************************************/
#include <stdio.h>
#include <string.h>
#include "crc.h"
void
main(void)
{
unsigned char test[] = "123456789";
/*
* Print the check value for the selected CRC algorithm.
*/
printf("The check value for the %s standard is 0x%X\n", CRC_NAME,
CHECK_VALUE);
/*
* Compute the CRC of the test message, slowly.
*/
*/
printf("The crcSlow() of \"123456789\" is 0x%X\n", crcSlow(test,
strlen(test)));
/*
* Compute the CRC of the test message, more efficiently.
*/
crcInit();
printf("The crcFast() of \"123456789\" is 0x%X\n", crcFast(test,
strlen(test)));
} /* main() */
/**********************************************************************
*
* Filename: crc.h
*
* Description: A header file describing the various CRC standards.
*
* Notes:
*
*
* Copyright (c) 2000 by Michael Barr. This software is placed into
* the public domain and may be used for any purpose. However, this
* notice must not be changed or removed and no warranty is either
* expressed or implied by its publication or distribution.
**********************************************************************/
#ifndef _crc_h
#define _crc_h
#define FALSE 0
#define TRUE !FALSE
/*
* Select the CRC standard from the list that follows.
*/
#define CRC_CCITT
#if defined(CRC_CCITT)
typedef unsigned short crc;
#define CRC_NAME "CRC-CCITT"
#define POLYNOMIAL 0x1021
#define INITIAL_REMAINDER 0xFFFF
#define FINAL_XOR_VALUE 0x0000
#define REFLECT_DATA FALSE
#define REFLECT_REMAINDER FALSE
#define CHECK_VALUE 0x29B1
#elif defined(CRC16)
typedef unsigned short crc;
#define CRC_NAME "CRC-16"
#define POLYNOMIAL 0x8005
#define INITIAL_REMAINDER 0x0000
#define FINAL_XOR_VALUE 0x0000
#define REFLECT_DATA TRUE
#define REFLECT_REMAINDER TRUE
#define CHECK_VALUE 0xBB3D
#elif defined(CRC32)
typedef unsigned long crc;
#define CRC_NAME "CRC-32"
#define POLYNOMIAL 0x04C11DB7
#define INITIAL_REMAINDER 0xFFFFFFFF
#define FINAL_XOR_VALUE 0xFFFFFFFF
#define REFLECT_DATA TRUE
#define REFLECT_REMAINDER TRUE
#define CHECK_VALUE 0xCBF43926
#else
#error "One of CRC_CCITT, CRC16, or CRC32 must be #define'd."
#endif
void crcInit(void);
crc crcSlow(unsigned char const message[], int nBytes);
crc crcFast(unsigned char const message[], int nBytes);
#endif /* _crc_h */
/**********************************************************************
*
* Filename: crc.c
*
* Description: Slow and fast implementations of the CRC standards.
*
* Notes: The parameters for each supported CRC standard are
* defined in the header file crc.h. The implementtations
* here should stand up to further additions to thaat list.
*
*
* Copyright (c) 2000 by Michael Barr. This software is placed into
* the public domain and may be used for any purpose. However, this
* notice must not be changed or removed and no warranty is either
* expressed or implied by its publication or distribution.
**********************************************************************/
#include "crc.h"
#include "crc.h"
/*
* Derive parameters from the standard-specific parameters in crc.h.
*/
#define WIDTH (8 * sizeof(crc))
#define TOPBIT (1 << (WIDTH - 1))
#if (REFLECT_DATA == TRUE)
#undef REFLECT_DATA
#define REFLECT_DATA(X) ((unsigned char) reflect((X), 8))
#else
#undef REFLECT_DATA
#define REFLECT_DATA(X) (X)
#endif
#if (REFLECT_REMAINDER == TRUE)
#undef REFLECT_REMAINDER
#define REFLECT_REMAINDER(X) ((crc) reflect((X), WIDTH))
#else
#undef REFLECT_REMAINDER
#define REFLECT_REMAINDER(X) (X)
#endif
/*********************************************************************
*
* Function: reflect()
*
* Description: Reorder the bits of a binary sequence, by reflecting
* them about the middle position.
*
* Notes: No checking is done that nBits <= 32.
*
* Returns: The reflection of the original data.
*
*********************************************************************/
static unsigned long
reflect(unsigned long data, unsigned char nBits)
{
unsigned long reflection = 0x00000000;
unsigned char bit;
/*
/*
* Reflect the data about the center bit.
*/
for (bit = 0; bit < nBits; ++bit)
{
/*
* If the LSB bit is set, set the reflection of it.
*/
if (data & 0x01)
{
reflection |= (1 << ((nBits - 1) - bit));
}
data = (data >> 1);
}
return (reflection);
} /* reflect() */
/*********************************************************************
*
*
* Function: crcSlow()
*
* Description: Compute the CRC of a given message.
*
* Notes:
*
* Returns: The CRC of the message.
*
*********************************************************************/
crc
crcSlow(unsigned char const message[], int nBytes)
{
crc remainder = INITIAL_REMAINDER;
int byte;
unsigned char bit;
/*
* Perform modulo-2 division, a byte at a time.
*/
for (byte = 0; byte < nBytes; ++byte)
{
{
/*
* Bring the next byte into the remainder.
*/
remainder ^= (REFLECT_DATA(message[byte]) << (WIDTH - 8));
/*
* Perform modulo-2 division, a bit at a time.
*/
for (bit = 8; bit > 0; --bit)
{
/*
* Try to divide the current data bit.
*/
if (remainder & TOPBIT)
{
remainder = (remainder << 1) ^ POLYNOMIAL;
}
else
{
remainder = (remainder << 1);
}
}
}
}
/*
* The final remainder is the CRC result.
*/
return (REFLECT_REMAINDER(remainder) ^ FINAL_XOR_VALUE);
} /* crcSlow() */
crc crcTable[256];
/*********************************************************************
*
* Function: crcInit()
*
* Description: Populate the partial CRC lookup table.
*
* Notes: This function must be rerun any time the CRC standard
* is changed. If desired, it can be run "offline"" and
* the table results stored in an embedded system'ss ROM.
*
* Returns: None defined.
*
*********************************************************************/
void
crcInit(void)
{
crc remainder;
int dividend;
unsigned char bit;
/*
* Compute the remainder of each possible dividend.
*/
for (dividend = 0; dividend < 256; ++dividend)
{
/*
* Start with the dividend followed by zeros.
*/
remainder = dividend << (WIDTH - 8);
/*
* Perform modulo-2 division, a bit at a time.
*/
for (bit = 8; bit > 0; --bit)
{
/*
* Try to divide the current data bit.
*/
if (remainder & TOPBIT)
{
remainder = (remainder << 1) ^ POLYNOMIAL;
}
else
{
remainder = (remainder << 1);
}
}
/*
* Store the result into the table.
*/
crcTable[dividend] = remainder;
}
} /* crcInit() */
/*********************************************************************
*
* Function: crcFast()
*
* Description: Compute the CRC of a given message.
*
* Notes: crcInit() must be called first.
*
* Returns: The CRC of the message.
*
*********************************************************************/
crc
crcFast(unsigned char const message[], int nBytes)
{
crc remainder = INITIAL_REMAINDER;
unsigned char data;
int byte;
int byte;
/*
* Divide the message by the polynomial, a byte at a time.
*/
for (byte = 0; byte < nBytes; ++byte)
{
data = REFLECT_DATA(message[byte]) ^ (remainder >> (WIDTH - 8));
remainder = crcTable[data] ^ (remainder << 8);
}
/*
* The final remainder is the CRC.
*/
return (REFLECT_REMAINDER(remainder) ^ FINAL_XOR_VALUE);
} /* crcFast() */
