--- # TRACE32 EEPROM 三项核心算法详解 ## 一、校验和 (0xFE-0xFF) ### 算法 对 EEPROM 前 254 字节（0x00-0xFD），视为 127 个 16 位 WORD（小端序），求和后取反： ``` checksum = (-sum(all_127_words)) & 0xFFFF ``` 等效于：所有 127 个 WORD 之和的低 16 位取反。 ### 计算步骤 ``` 1. 将前254字节按小端序解析为 127 个 uint16 2. 累加所有 127 个值 3. checksum = (-total) & 0xFFFF 或者更直观：checksum = (0x10000 - (total & 0xFFFF)) & 0xFFFF 4. 将 checksum 以小端序写入 0xFE-0xFF ``` ### 示例（以原版文件为例） ``` 文件 256 字节作为 127 个 WORD (LE) 计算前254字节： WORD[0] = 0x7070 (字节 0x00-0x01: 70 70 → 0x7070) WORD[1] = 0x0063 (字节 0x02-0x03: 63 00 → 0x0063) WORD[2] = 0x3131 (字节 0x04-0x05: 31 31 → 0x3131) ... WORD[126]= 0x0000 (字节 0xFC-0xFD: 00 00 → 0x0000) 所有 127 个 WORD 累加 → total checksum = (-total) & 0xFFFF 验证: 计算出的校验和必须等于 0xFE-0xFF 存储的值 ``` ### Python 实现 ```python import struct def compute_checksum(data): """计算 256 字节 EEPROM 的校验和（前254字节）""" # 确保数据长度为256字节 if len(data) < 256: data.extend(b'\x00' * (256 - len(data))) elif len(data) > 256: del data[256:] # 先将校验和位置置0 data[0xFE] = 0 data[0xFF] = 0 # 计算前254字节的校验和 # 将前254字节视为127个16位WORD（小端序） words = struct.unpack('<127H', bytes(data[:0xFE])) total = sum(words) checksum = (-total) & 0xFFFF # 写入校验和（小端序） data[0xFE] = checksum & 0xFF data[0xFF] = (checksum >> 8) & 0xFF return checksum def verify_checksum(data): """验证校验和""" if len(data) < 256: return False # 读取存储的校验和 stored_checksum = int.from_bytes(data[0xFE:0x100], 'little') # 计算前254字节的校验和 words = struct.unpack('<127H', bytes(data[:0xFE])) total = sum(words) calculated_checksum = (-total) & 0xFFFF return stored_checksum == calculated_checksum ``` --- ## 二、序列号解析 (sn_mod 计算) ### 涉及函数 **sub_1409416F0** — 序列号字符串 → 整数 ``` 地址: 0x1409416F0 输入: 指向 12 字节 ASCII 字符串的指针 (EEPROM offset 0x04-0x0F) 输出: 64 位整数 (序列号数值) ``` ### 伪代码 ```c uint64_t sub_1409416F0(uint8_t *str) { uint64_t result = 0; // 跳过前导非数字字符 if ((str[0] - '0') > 9) str++; // 如 "C17080238053" → 跳过 'C' // 最多解析 11 位数字 uint8_t *end = str + 11; while (str < end) { char c = *str++; if ((c - '0') > 9) // 非数字则停止 break; result = (c - '0') + 10 * result; // 即 result = result * 10 + digit } return result; } ``` ### 计算 sn_mod ```c sn_mod = serial_number % 100000; // 即 serial % 0x186A0 ``` ### 示例 | 序列号字符串 | 解析结果 | sn_mod | |-------------|---------|--------| | "6186900" | 6186900 | 86900 | | "C17080238053" | 17080238053 | 38053 | | "06120086900" | 6120086900 | 86900 | | "1608009000" | 1608009000 | 9000 | 注意：`06120086900` 和 `6186900` sn_mod 相同 (=86900)，所以它们可以共享同一组 hash 值。 ### Python 实现 ```python def parse_serial(serial_str): """模拟 sub_1409416F0""" s = serial_str.strip() if s and not s[0].isdigit(): s = s[1:] # 跳过前导非数字 result = 0 for c in s[:11]: if not c.isdigit(): break result = result * 10 + int(c) return result serial = parse_serial("C17080238053") # → 17080238053 sn_mod = serial % 100000 # → 38053 ``` --- ## 三、有效期激活码 (License String 中的 hex code) ### 涉及函数 **sub_140941DD0** — License 行解析与激活码验证 ``` 地址: 0x140941DD0 License String 格式: "SN MM/YYYY ACTIVATION_CODE" 例: "C17080238053 10/2022 17DD0CD690E2E267" ``` ### 算法 ``` 输入: serial = sub_1409416F0 解析后的序列号整数 month = 日期中的月份 (如 10) year = 日期中的年份 (如 2022) 计算: v29 = 100003 × serial × (month + 12 × year) hash1 = sub_140151110( HI_DWORD(v29) ) ← 高 32 位 hash2 = sub_140151110( LO_DWORD(v29) ) ← 低 32 位 activation_code = LE_BYTES(hash1) + LE_BYTES(hash2) = 8 字节 (16 个 hex 字符) ``` ### 完整演示 ``` 序列号: C17080238053 → serial = 17080238053 日期: 10/2022 v29 = 100003 × 17080238053 × (10 + 12 × 2022) = 100003 × 17080238053 × 24274 = 41,461,813,666,947,695,566 = 0x023F65F3DB21DA83CE HI_DWORD = 0x3F65F3DB LO_DWORD = 0x21DA83CE ↓ ↓ sub_140151110(0x3F65F3DB) sub_140151110(0x21DA83CE) = 0xD60CDD17 = 0x67E2E290 LE 字节: 17 DD 0C D6 LE 字节: 90 E2 E2 67 拼接: 17 DD 0C D6 90 E2 E2 67 = "17DD0CD690E2E267" ✓ ``` ### Python 实现 ```python def compute_activation_code(serial_str, month, year): """计算有效期激活码""" serial = parse_serial(serial_str) v29 = 100003 * serial * (month + 12 * year) hi = (v29 >> 32) & 0xFFFFFFFF lo = v29 & 0xFFFFFFFF hash1 = hash_140151110(hi) hash2 = hash_140151110(lo) code = hash1.to_bytes(4, 'little') + hash2.to_bytes(4, 'little') return code.hex().upper() # 验证 code = compute_activation_code("C17080238053", 10, 2022) print(code) # → 17DD0CD690E2E267 ``` ### 更换有效期方法 要延期 License，只需： 1. 设定新的 month/year 2. 用以上公式计算新的激活码 3. 更新 EEPROM 0xC0-0xEF 中的 License String ```python # 延期到 2099年12月 new_code = compute_activation_code("C17080238053", 12, 2099) # → 332C9814A6099F18 new_license = "C17080238053 12/2099 " + new_code ``` --- ## 四、架构授权 Hash 计算 ### 涉及函数 **sub_140151110** — License Hash 函数 ``` 地址: 0x140151110 输入: ECX = sn_mod × char_sum(filename) 输出: EAX = 32-bit hash ``` ### 反汇编 ```asm sub_140151110: lea rax, table_start ; 乘数/加数表起始 lea rdx, table_end ; 表结束 loop: imul ecx, [rax-4] ; ecx *= multiplier add ecx, [rax] ; ecx += adder add rax, 8 ; 前进 8 字节 cmp rax, rdx jl loop mov eax, ecx ret ``` ### 表数据 (0x141DE91C0, 80 字节 = 10 对) ``` 乘数: [17, 37, 7, 5, 37, 19, 47, 41, 53, 17] 加数: [11, 3, 11, 31, 13, 23, 31, 43, 59, 19] ``` ### 完整公式 ``` char_sum(filename) = sum(ord(c) for c in filename) value = sn_mod × char_sum hash = sub_140151110(value) = ((((((((((value × 17 + 11) × 37 + 3) × 7 + 11) × 5 + 31) × 37 + 13) × 19 + 23) × 47 + 31) × 41 + 43) × 53 + 59) × 17 + 19) & 0xFFFFFFFF ``` ### 完整演示：Cortex-M (0x75CE9244) ``` 文件名: scccortexm.t32 char_sum = s+c+c+c+o+r+t+e+x+m+.+t+3+2 = 115+99+99+99+111+114+116+101+120+109+46+116+51+50 = 1346 sn_mod = 38053 (序列号 C17080238053) value = 38053 × 1346 = 51,219,338 = 0x030D8B8A 迭代 0: (0x030D8B8A × 17 + 11) → 0x33E64435 迭代 1: (0x33E64435 × 37 + 3) → 0x8047DBAC 迭代 2: (0x8047DBAC × 7 + 11) → 0x81F701BF 迭代 3: (0x81F701BF × 5 + 31) → 0x89D308DA 迭代 4: (0x89D308DA × 37 + 13) → 0xEB80478F 迭代 5: (0xEB80478F × 19 + 23) → 0x7A854FB4 迭代 6: (0x7A854FB4 × 47 + 31) → 0x7E79A22B 迭代 7: (0x7E79A22B × 41 + 43) → 0x417AF90E 迭代 8: (0x417AF90E × 53 + 59) → 0x8E759021 迭代 9: (0x8E759021 × 17 + 19) → 0x75CE9244 最终 hash = 0x75CE9244 LE 字节序 = 44 92 CE 75 (写入 EEPROM 0x10-0x13) ``` ### Python 完整实现（三项算法） ```python _MULTS = [17, 37, 7, 5, 37, 19, 47, 41, 53, 17] _ADDS = [11, 3, 11, 31, 13, 23, 31, 43, 59, 19] def hash_140151110(value): """（算法3）10轮 LCG hash — 用于架构授权和激活码""" v = value & 0xFFFFFFFF for i in range(10): v = (v * _MULTS[i] + _ADDS[i]) & 0xFFFFFFFF return v def parse_serial(serial_str): """（算法2）sub_1409416F0: 序列号解析""" s = serial_str.strip() if s and not s[0].isdigit(): s = s[1:] result = 0 for c in s[:11]: if not c.isdigit(): break result = result * 10 + int(c) return result def compute_hash(serial_str, filename): """（算法3）计算单个架构的授权 hash""" serial = parse_serial(serial_str) sn_mod = serial % 100000 csum = sum(ord(c) for c in filename) value = sn_mod * csum return hash_140151110(value) def compute_activation_code(serial_str, month, year): """（算法2）计算有效期激活码""" serial = parse_serial(serial_str) v29 = 100003 * serial * (month + 12 * year) hi = (v29 >> 32) & 0xFFFFFFFF lo = v29 & 0xFFFFFFFF hash1 = hash_140151110(hi) hash2 = hash_140151110(lo) code = hash1.to_bytes(4, 'little') + hash2.to_bytes(4, 'little') return code.hex().upper() def compute_checksum(data): """（算法1）计算 EEPROM 校验和（前254字节）""" # 确保数据长度为256字节 if len(data) < 256: data.extend(b'\x00' * (256 - len(data))) elif len(data) > 256: del data[256:] # 先将校验和位置置0 data[0xFE] = 0 data[0xFF] = 0 # 计算前254字节的校验和 words = struct.unpack('<127H', bytes(data[:0xFE])) total = sum(words) checksum = (-total) & 0xFFFF # 写入校验和（小端序） data[0xFE] = checksum & 0xFF data[0xFF] = (checksum >> 8) & 0xFF # 使用示例 h = compute_hash("C17080238053", "scccortexm.t32") print(f"Cortex-M hash = 0x{h:08X}") # → 0x75CE9244 code = compute_activation_code("C17080238053", 12, 2099) print(f"激活码 = {code}") # → 332C9814A6099F18 ``` --- ## 已知架构 Hash 表 (sn_mod=38053) | 文件名 | 架构 | csum | sn_mod×csum | Hash | |--------|------|------|-------------|------| | sccarm70.t32 | ARM7 | 999 | 0x02440FE3 | 0x229E902F | | sccarm90.t32 | ARM9 | 1001 | 0x0245392D | 0x89A57ACD | | sccarm10.t32 | ARM10 | 993 | 0x02409405 | 0xED89D055 | | sccarm11.t32 | ARM11 | 994 | 0x024128AA | 0xA10D45A4 | | sccmci.t32 | MCI | 889 | 0x020430FD | 0x0022283D | | sccarmsa.t32 | ARM SA | 1108 | 0x02835A24 | 0x919782D2 | | scccortexm.t32 | Cortex-M | 1346 | 0x030D8B8A | 0x75CE9244 | | scccortex.t32 | Cortex-A/R | 1237 | 0x02CE4149 | 0x06D59FA1 | | sccARMv8.t32 | ARMv8/v9 | 974 | 0x02358BC6 | 0x9AC81B78 | | sccjanus.t32 | JANUS | 1121 | 0x028AE685 | 0xAF4477D5 | | sccetb.t32 | ETB Trace | 891 | 0x02055A47 | 0x672912DB | | sccavr.t32 | AVR | - | - | 0x7D1B2675 | | sccavr8.t32 | AVR8 | - | - | 0x7D1B2675 | | scc68k.t32 | 68K | - | - | 0xAED62A9D | | scc166nb.t32 | C166 | - | - | 0x44E3D185 | | scc166sv2.t32 | C166S | - | - | 0x44E3D185 | | scc322800.t32 | C2000 | - | - | 0x5F6E3172 | | scc32540.t32 | C5400 | - | - | 0x95F8A889 | | scc32550.t32 | C5500 | - | - | 0x1789F314 | | sccmips.t32 | MIPS | - | - | 0xC1DCCFBD | | sccmsp430.t32 | MSP430 | - | - | 0x037BE3EF | | sccppc4200.t32 | PPC4200 | - | - | 0x229E902F | | sccppc5500.t32 | PPC5500 | - | - | 0x57B35009 | | sccppc40.t32 | PPC40x | - | - | 0x08827D7A | | sccppc44.t32 | PPC44x | - | - | 0x08827D7A | | sccppc50.t32 | PPC50x | - | - | 0x08827D7A | | sccppc60.t32 | PPC60x | - | - | 0x08827D7A | | sccppc74.t32 | PPC74x | - | - | 0x49EA6B10 | | sccppc82.t32 | PPC82x | - | - | 0x49EA6B10 | | sccppc85.t32 | PPC85x | - | - | 0xCE9E4AB1 | | sccppc86.t32 | PPC86x | - | - | 0xCE9E4AB1 | | sccs08.t32 | HCS08 | - | - | 0x1AAC882A | | sccs12.t32 | HCS12 | - | - | 0x991B3D9F | | sccs12x.t32 | HCS12X | - | - | 0x991B3D9F | | sccms12z.t32 | HCS12Z | - | - | 0x991B3D9F | | sccRH850.t32 | V850 | - | - | 0x991B3D9F | | sccxtensa.t32 | XTENSA | - | - | 0x991B3D9F | | scchsdp.t32 | HSDP | - | - | 0x991B3D9F | | sccRISCV.t32 | RISCV | - | - | 0x991B3D9F | | sccRISCV_32.t32 | RISCV32 | - | - | 0x991B3D9F | | sccRISCV_64.t32 | RISCV64 | - | - | 0x991B3D9F | --- *文档版本：1.0* *最后更新：2024年* ---