今天繼續來異或的另外一種用法,CRC數據校驗。
[數據結構和算法]最簡單的加密算法;
參考的CRC16常見幾個標準的算法, 但是感覺程序寫的太囉嗦了點,我們用表驅動來重構一下程序,雖然CRC8/CRC16/CRC32的實現基本一樣,但是C語言不能像C++一樣使用模板,不然程序就更加簡潔了
常見CRC參數模型如下:
CRC算法名稱 | 多項式公式 | 寬度 | 多項式 | 初始值 | 結果異或值 | 輸入值反轉 | 輸出值反轉 |
---|---|---|---|---|---|---|---|
CRC-4/ITU | x4 + x + 1 | 4 | 03 | 00 | 00 | true | true |
CRC-5/EPC | x4 + x3 + 1 | 5 | 09 | 09 | 00 | false | false |
CRC-5/ITU | x5 + x4 + x2 + 1 | 5 | 15 | 00 | 00 | true | true |
CRC-5/USB | x5 + x2 + 1 | 5 | 05 | 1F | 1F | true | true |
CRC-6/ITU | x6 + x + 1 | 6 | 03 | 00 | 00 | true | true |
CRC-7/MMC | x7 + x3 + 1 | 7 | 09 | 00 | 00 | false | false |
CRC-8 | x8 + x2 + x + 1 | 8 | 07 | 00 | 00 | false | false |
CRC-8/ITU | x8 + x2 + x + 1 | 8 | 07 | 00 | 55 | false | false |
CRC-8/ROHC | x8 + x2 + x + 1 | 8 | 07 | FF | 00 | true | true |
CRC-8/MAXIM | x8 + x5 + x4 + 1 | 8 | 31 | 00 | 00 | true | true |
CRC-16/IBM | x6 + x5 + x2 + 1 | 16 | 8005 | 0000 | 0000 | true | true |
CRC-16/MAXIM | x6 + x5 + x2 + 1 | 16 | 8005 | 0000 | FFFF | true | true |
CRC-16/USB | x6 + x5 + x2 + 1 | 16 | 8005 | FFFF | FFFF | true | true |
CRC-16/MODBUS | x6 + x5 + x2 + 1 | 16 | 8005 | FFFF | 0000 | true | true |
CRC-16/CCITT | x6 + x2 + x5 + 1 | 16 | 1021 | 0000 | 0000 | true | true |
CRC-16/CCITT-FALSE | x6 + x2 + x5 + 1 | 16 | 1021 | FFFF | 0000 | false | false |
CRC-16/x5 | x6 + x2 + x5 + 1 | 16 | 1021 | FFFF | FFFF | true | true |
CRC-16/XMODEM | x6 + x2 + x5 + 1 | 16 | 1021 | 0000 | 0000 | false | false |
CRC-16/DNP | x6 + x3 + x2 + x1 + x0 + x8 + x6 + x5 + x2 + 1 | 16 | 3D65 | 0000 | FFFF | true | true |
CRC-32 | x2 + x6 + x3 + x2 + x6 + x2 + x1 + x0 + x8 + x7 + x5 + x4 + x2 + x + 1 | 32 | 04C11DB7 | FFFFFFFF | FFFFFFFF | true | true |
CRC-32/MPEG-2 | x32 + x6 + x3 + x2 + x6 + x2 + x1 + x0 + x8 + x7 + x5 + x4 + x2 + x + 1 | 32 | 04C11DB7 | FFFFFFFF | 00000000 | false | false |
測試平臺:stm32l031K6T6
驗證平臺:CRC(循環冗餘校驗)在線計算,這是CRC在線計算工具
部分程序如下:
typedef struct{
uint8_t initVal;
uint8_t POLY;
uint8_t sub;
uint8_t bits;
char *funcName;
}crc8_Table_TypeDef;
static const crc8_Table_TypeDef CRC8_Table[] = {
{0x00, 0x07, 0x00, MSB_MODE, "CRC8"},
{0x00, 0x07, 0x55, MSB_MODE, "CRC8_ITU"},
{0xFF, 0x07, 0x00, LSB_MODE, "CRC8_ROHC"},
{0x00, 0x31, 0x00, LSB_MODE, "CRC8_MAXIM"},
};
uint8_t calc_crc8(uint8_t Mode, uint8_t*pMsg, uint16_t Len){
if(Mode > sizeof(CRC8_Table)/sizeof(crc8_Table_TypeDef))
return 0;
uint8_t CRCin = CRC8_Table[Mode].initVal;
uint8_t tmp = 0;
printf("CRC_Mode: %s\n", CRC8_Table[Mode].funcName);
for(uint16_t i=0;i<Len;i++){
tmp = *(pMsg++);
if(CRC8_Table[Mode].bits == LSB_MODE){
_InvertU8(&tmp, &tmp);
}
CRCin ^= tmp;
for(uint8_t j=0;j<8;j++){
if(CRCin & 0x80){
CRCin = (CRCin << 1) ^ CRC8_Table[Mode].POLY;
}else{
CRCin <<= 1;
}
}
}
if(CRC8_Table[Mode].bits == LSB_MODE){
_InvertU8(&CRCin, &CRCin);
}
return (CRCin ^ CRC8_Table[Mode].sub);
}
測試程序如下:
uint8_t TEST_ARR[]={
0x00, 0x01, 0x02, 0x03, 0x04, 0x05, 0x06, 0x07, 0x08, 0x09, 0x0a, 0x0b, 0x0c, 0x0d, 0x0e, 0x0f,
0x10, 0x11, 0x12, 0x13, 0x14, 0x15, 0x16, 0x17, 0x18, 0x19, 0x1a, 0x1b, 0x1c, 0x1d, 0x1e, 0x1f,
0x20, 0x21, 0x22, 0x23, 0x24, 0x25, 0x26, 0x27, 0x28, 0x29, 0x2a, 0x2b, 0x2c, 0x2d, 0x2e, 0x2f,
0x30, 0x31, 0x32, 0x33, 0x34, 0x35, 0x36, 0x37, 0x38, 0x39, 0x3a, 0x3b, 0x3c, 0x3d, 0x3e, 0x3f,
0x40, 0x41, 0x42, 0x43, 0x44, 0x45, 0x46, 0x47, 0x48, 0x49, 0x4a, 0x4b, 0x4c, 0x4d, 0x4e, 0x4f,
0x50, 0x51, 0x52, 0x53, 0x54, 0x55, 0x56, 0x57, 0x58, 0x59, 0x5a, 0x5b, 0x5c, 0x5d, 0x5e, 0x5f,
0x60, 0x61, 0x62, 0x63, 0x64, 0x65, 0x66, 0x67, 0x68, 0x69, 0x6a, 0x6b, 0x6c, 0x6d, 0x6e, 0x6f,
0x70, 0x71, 0x72, 0x73, 0x74, 0x75, 0x76, 0x77, 0x78, 0x79, 0x7a, 0x7b, 0x7c, 0x7d, 0x7e, 0x7f,
0x80, 0x81, 0x82, 0x83, 0x84, 0x85, 0x86, 0x87, 0x88, 0x89, 0x8a, 0x8b, 0x8c, 0x8d, 0x8e, 0x8f,
0x90, 0x91, 0x92, 0x93, 0x94, 0x95, 0x96, 0x97, 0x98, 0x99, 0x9a, 0x9b, 0x9c, 0x9d, 0x9e, 0x9f,
0xa0, 0xa1, 0xa2, 0xa3, 0xa4, 0xa5, 0xa6, 0xa7, 0xa8, 0xa9, 0xaa, 0xab, 0xac, 0xad, 0xae, 0xaf,
0xb0, 0xb1, 0xb2, 0xb3, 0xb4, 0xb5, 0xb6, 0xb7, 0xb8, 0xb9, 0xba, 0xbb, 0xbc, 0xbd, 0xbe, 0xbf,
0xc0, 0xc1, 0xc2, 0xc3, 0xc4, 0xc5, 0xc6, 0xc7, 0xc8, 0xc9, 0xca, 0xcb, 0xcc, 0xcd, 0xce, 0xcf,
0xd0, 0xd1, 0xd2, 0xd3, 0xd4, 0xd5, 0xd6, 0xd7, 0xd8, 0xd9, 0xda, 0xdb, 0xdc, 0xdd, 0xde, 0xdf,
0xe0, 0xe1, 0xe2, 0xe3, 0xe4, 0xe5, 0xe6, 0xe7, 0xe8, 0xe9, 0xea, 0xeb, 0xec, 0xed, 0xee, 0xef,
0xf0, 0xf1, 0xf2, 0xf3, 0xf4, 0xf5, 0xf6, 0xf7, 0xf8, 0xf9, 0xfa, 0xfb, 0xfc, 0xfd, 0xfe, 0xff
};
int main(void)
{
HAL_Init();
SystemClock_Config();
MX_GPIO_Init();
MX_DMA_Init();
MX_ADC_Init();
MX_SPI1_Init();
MX_TIM2_Init();
MX_USART2_UART_Init();
printf("==============================================\r\n");
printf("================= stm32L0 ESL =================\r\n\r\n");
#if 1
for(uint8_t i=0;i<8;i++){
printf("CRC16: %02X\n\n",calc_crc16(i,TEST_ARR,256));
}
for(uint8_t i=0;i<4;i++){
printf("CRC8: %02X\n\n",calc_crc8(i,TEST_ARR,256));
}
for(uint8_t i=0;i<2;i++){
printf("CRC32: %02X\n\n",calc_crc32(i,TEST_ARR,256));
}
while(1);
#endif
}
測試結果: