1. 逐位计算法(最容易理解)
c
#include <stdint.h>
#include <string.h>
// CRC-512 结果 = 64字节
typedef uint8_t crc512_t[64];
// 标准 CRC-512 多项式
static const uint8_t CRC512_POLY[64] = {
0x02,0xDC,0x76,0x25,0x32,0x83,0x8E,0x69,
0x84,0x22,0x3E,0xAC,0x3E,0x86,0x91,0x19,
0x27,0x5C,0x59,0x4C,0xB7,0x61,0x0B,0x74,
0xA9,0x4B,0x68,0xF4,0xF9,0xAE,0x81,0xA1,
0x7E,0x16,0x8D,0xE1,0x4A,0x10,0xE8,0x1D,
0x52,0x5D,0x27,0x9D,0x6B,0xB1,0x7F,0x12,
0x74,0xFE,0x64,0x00,0x8F,0x3E,0x67,0xF9,
0xF9,0xB6,0xE5,0x40,0xE1,0x44,0x17,0x05
};
// 工具:512位数左移1位
static void crc512_shift_left_1(uint8_t *crc) {
int carry = 0;
for (int i = 63; i >= 0; i--) {
int new_carry = crc[i] >> 7;
crc[i] = (crc[i] << 1) | carry;
carry = new_carry;
}
}
// 工具:512位异或
static void crc512_xor(uint8_t *a, const uint8_t *b) {
for (int i = 0; i < 64; i++) a[i] ^= b[i];
}
// ==============================
// CRC-512 逐位计算法
// ==============================
void crc512_bitwise(crc512_t out, const uint8_t *data, size_t len) {
// 初始化为 0
memset(out, 0, 64);
// 逐字节
for (size_t i = 0; i < len; i++) {
uint8_t b = data[i];
// 逐位
for (int bit = 7; bit >= 0; bit--) {
int carry = !!(out[0] & 0x80); // 取最高位
crc512_shift_left_1(out);
if (b & (1 << bit))
out[63] |= 1; // 当前位为1,移入CRC
if (carry)
crc512_xor(out, CRC512_POLY);
}
}
}
2. 查表法(高速工程版)
c
// 256项表,每项64字节
static uint8_t crc512_table[256][64];
// 工具:左移8位
static void crc512_shift_left_8(uint8_t *crc) {
for (int i = 0; i < 63; i++) crc[i] = crc[i+1];
crc[63] = 0;
}
// 初始化表(必须调用一次)
void crc512_init_table(void) {
for (int b = 0; b < 256; b++) {
uint8_t rem[64] = {0};
rem[0] = b;
for (int i = 0; i < 8; i++) {
int carry = !!(rem[0] & 0x80);
crc512_shift_left_1(rem);
if (carry) crc512_xor(rem, CRC512_POLY);
}
memcpy(crc512_table[b], rem, 64);
}
}
// ==============================
// CRC-512 查表法(超快)
// ==============================
void crc512_lookup(crc512_t out, const uint8_t *data, size_t len) {
memset(out, 0, 64);
for (size_t i = 0; i < len; i++) {
uint8_t index = out[0] ^ data[i];
crc512_shift_left_8(out);
crc512_xor(out, crc512_table[index]);
}
}
3. 测试代码(验证)
c
#include <stdio.h>
int main() {
uint8_t test[] = "123456789";
crc512_t result;
// 方法1:逐位计算
crc512_bitwise(result, test, 9);
// 方法2:查表计算(先初始化)
// crc512_init_table();
// crc512_lookup(result, test, 9);
printf("CRC-512 (64字节):\n");
for (int i = 0; i < 64; i++) {
printf("%02X ", result[i]);
if ((i + 1) % 16 == 0) printf("\n");
}
return 0;
}
