本人在做一个ESP32项目,使用VScode开发,其中蓝牙数据需要用到crc32校验。
CRC校验的定义
CRC(Cyclic Redundancy Check,循环冗余校验)是一种用于检测数据传输或存储过程中是否出现错误的校验方法。其核心思想是通过数学运算生成一个固定长度的校验码(CRC值),附加在原始数据后,接收方通过相同的算法验证数据的完整性。
CRC校验的原理
CRC基于多项式除法,将数据视为二进制系数的大数,与预定的生成多项式进行模2除法运算,得到的余数即为校验码。关键要素包括:
- 生成多项式:预先设定的二进制数,如CRC-16的
0x8005,不同标准对应不同多项式。 - 初始值:计算前寄存器的初始状态,通常为全0或全1。
- 输入输出处理:可能涉及数据反转、结果异或等后处理步骤。
数学公式表示为:
[ M(x) \cdot x^n = Q(x) \cdot G(x) + R(x) ]
其中,( M(x) )为数据多项式,( G(x) )为生成多项式,( R(x) )为余数(即CRC值)。
CRC校验的应用场景
- 网络通信:如以太网帧(CRC-32)、Wi-Fi数据传输。
- 存储系统:检测硬盘、SSD等存储介质的读写错误。
- 文件传输:ZIP、RAR等压缩包校验文件完整性。
CRC校验的特点
- 高效性:硬件实现简单,计算速度快。
- 检测能力:可识别单比特错误、突发错误(取决于多项式选择)。
- 非加密性:仅用于检错,无法纠正错误或保证数据安全性。
常见CRC标准示例
- CRC-8:用于简单协议,多项式
0x07。 - CRC-16:Modbus协议使用
0x8005。 - CRC-32:以太网、ZIP文件采用
0x04C11DB7。
可以使用pycrc生成crc代码。
pycrc 是一个用 Python 编写的免费循环冗余校验(CRC)C 源代码生成器。
CRC 算法可以选择从快速但占用空间的实现到较慢但较小的版本,特别适合嵌入式应用。CRC 参数可以自由选择,一些著名的 CRC 模型可以通过名称而不是参数来参考。
您可以直接使用 pycrc,除了 Python 2.6 或更高版本外,无需其他依赖。无需安装或额外的模块。支持 Python 3。
crc.cpp
/**
* \file
* Functions and types for CRC checks.
*
* Generated on Tue Jan 7 07:33:25 2020
* by pycrc v0.9.2, https://pycrc.org
* using the configuration:
* - Width = 32
* - Poly = 0x04c11db7
* - XorIn = 0xffffffff
* - ReflectIn = True
* - XorOut = 0xffffffff
* - ReflectOut = True
* - Algorithm = table-driven
*/
#include "crc.h" /* include the header file generated with pycrc */
#include <stdlib.h>
#include <stdint.h>
/**
* Static table used for the table_driven implementation.
*/
static const crc_t crc_table[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
};
crc_t crc_update(crc_t crc, const void *data, size_t data_len)
{
const unsigned char *d = (const unsigned char *)data;
unsigned int tbl_idx;
while (data_len--) {
tbl_idx = (crc ^ *d) & 0xff;
crc = (crc_table[tbl_idx] ^ (crc >> 8)) & 0xffffffff;
d++;
}
return crc & 0xffffffff;
}
crc.h
/**
* \file
* Functions and types for CRC checks.
*
* Generated on Tue Jan 7 07:33:20 2020
* by pycrc v0.9.2, https://pycrc.org
* using the configuration:
* - Width = 32
* - Poly = 0x04c11db7
* - XorIn = 0xffffffff
* - ReflectIn = True
* - XorOut = 0xffffffff
* - ReflectOut = True
* - Algorithm = table-driven
*
* This file defines the functions crc_init(), crc_update() and crc_finalize().
*
* The crc_init() function returns the initial \c crc value and must be called
* before the first call to crc_update().
* Similarly, the crc_finalize() function must be called after the last call
* to crc_update(), before the \c crc is being used.
* is being used.
*
* The crc_update() function can be called any number of times (including zero
* times) in between the crc_init() and crc_finalize() calls.
*
* This pseudo-code shows an example usage of the API:
* \code{.c}
* crc_t crc;
* unsigned char data[MAX_DATA_LEN];
* size_t data_len;
*
* crc = crc_init();
* while ((data_len = read_data(data, MAX_DATA_LEN)) > 0) {
* crc = crc_update(crc, data, data_len);
* }
* crc = crc_finalize(crc);
* \endcode
*/
#ifndef CRC_H
#define CRC_H
#include <stdlib.h>
#include <stdint.h>
#ifdef __cplusplus
extern "C" {
#endif
/**
* The definition of the used algorithm.
*
* This is not used anywhere in the generated code, but it may be used by the
* application code to call algorithm-specific code, if desired.
*/
#define CRC_ALGO_TABLE_DRIVEN 1
/**
* The type of the CRC values.
*
* This type must be big enough to contain at least 32 bits.
*/
typedef uint32_t crc_t;
/**
* Calculate the initial crc value.
*
* \return The initial crc value.
*/
static inline crc_t crc_init(void)
{
return 0xffffffff;
}
/**
* Update the crc value with new data.
*
* \param[in] crc The current crc value.
* \param[in] data Pointer to a buffer of \a data_len bytes.
* \param[in] data_len Number of bytes in the \a data buffer.
* \return The updated crc value.
*/
crc_t crc_update(crc_t crc, const void *data, size_t data_len);
/**
* Calculate the final crc value.
*
* \param[in] crc The current crc value.
* \return The final crc value.
*/
static inline crc_t crc_finalize(crc_t crc)
{
return crc ^ 0xffffffff;
}
#ifdef __cplusplus
} /* closing brace for extern "C" */
#endif
#endif /* CRC_H */
Arduino_CRC32.cpp
/*
Copyright (c) 2020 Arduino. All rights reserved.
This library is free software; you can redistribute it and/or
modify it under the terms of the GNU Lesser General Public
License as published by the Free Software Foundation; either
version 2.1 of the License, or (at your option) any later version.
This library is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.
See the GNU Lesser General Public License for more details.
You should have received a copy of the GNU Lesser General Public
License along with this library; if not, write to the Free Software
Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA
*/
/**************************************************************************************
* INCLUDE
**************************************************************************************/
#include "Arduino_CRC32.h"
/**************************************************************************************
* PUBLIC MEMBER FUNCTIONS
**************************************************************************************/
void Arduino_CRC32::init(uint32_t start)
{
crc32_start = start;
}
uint32_t Arduino_CRC32::calc(uint8_t const data[], uint32_t const len)
{
crc_t crc32;
crc32 = crc_update(crc32_start, data, len);
crc32 = crc_finalize(crc32);
return crc32;
}
Arduino_CRC32.h
/*
Copyright (c) 2020 Arduino. All rights reserved.
This library is free software; you can redistribute it and/or
modify it under the terms of the GNU Lesser General Public
License as published by the Free Software Foundation; either
version 2.1 of the License, or (at your option) any later version.
This library is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.
See the GNU Lesser General Public License for more details.
You should have received a copy of the GNU Lesser General Public
License along with this library; if not, write to the Free Software
Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA
*/
#ifndef ARDUINO_CRC32_H_
#define ARDUINO_CRC32_H_
/**************************************************************************************
* INCLUDE
**************************************************************************************/
#include <stdint.h>
#include "crc.h"
/**************************************************************************************
* CLASS DECLARATION
**************************************************************************************/
class Arduino_CRC32
{
public:
crc_t crc32_start;
void init(uint32_t start);
uint32_t calc(uint8_t const data[], uint32_t const len);
};
#endif /* ARDUINO_CRC32_H_ */
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