一、MD5的概念
MD5即Message-Digest Algorithm 5(信息-摘要算法5),用于确保信息传输完整一致。是计算机广泛使用的杂凑算法之一(又译摘要算法、哈希算法)。将数据(如汉字)运算为另一固定长度值,是杂凑算法的基础原理。
二、MD5的处理步骤:
MD5以512位分组来处理输入文本,每一分组又划分为16个32位子分组。算法的输出由四个32位分组组成,将它们级联形成一个128位散列值。
①如果输入信息的长度(bit)对512求余的结果不等于448,就需要填充使得对512求余的结果等于448。填充的方法是填充一个1和n个0。填充完后,信息的长度就为N*512+448(bit)
也就是说我们将一组信息分成n个(512位)组,每组的计算都要引入前一组的结果值,这样就保证了所有的文本都参与了实际运算。
②记录信息长度:用64位来存储填充前信息长度。这64位加在第一步结果的后面,这样信息长度就变为N*512+448+64=(N+1)*512位,这也解释了为什么第一步要求余448,因为要用最后的64位来存储填充信 息长度
③初始的128位值为初试链接变量,这些参数用于第一轮的运算,以大端字节序来表示,他们分别为: A=0x0,B=0x89ABCDEF,C=0xFEDCBA98,D=0x。
每一个变量给出的数值是高字节存于内存低地址,低字节存于内存高地址,即大端字节序。在程序中变量A、B、C、D的值分别为0x,0xEFCDAB89,0x98BADCFE,0x
④处理分组数据
每一分组的算法流程如下:第一分组需要将上面四个链接变量复制到另外四个变量中:A到a,B到b,C到c,D到d。从第二分组开始的变量为上一分组的运算结果,即A = a, B = b, C = c, D = d。主循环 有四轮(MD4只有三轮),每轮循环都很相似。第一轮进行16次操作。每次操作对a、b、c和d中的其中三个作一次非线性函数运算,然后将所得结果加上第四个变量,文本的一个子分组和一个常数。再将所 得结果向左环移一个不定的数,并加上a、b、c或d中之一。最后用该结果取代a、b、c或d中之一。
⑤输出a、b、c和d的级联。
三、特点
1、压缩性:任意长度的数据,算出的MD5值长度都是固定的。
2、容易计算:从原数据计算出MD5值很容易。
3、抗修改性:对原数据进行任何改动,哪怕只修改1个字节,所得到的MD5值都有很大区别。
4、强抗碰撞:已知原数据和其MD5值,想找到一个具有相同MD5值的数据(即伪造数据)是非常困难的。
四、MD5计算MD5值
md5.h
#pragma once #ifndef MD5_H #define MD5_H #include <string> #include <fstream> /* Type define */ typedef unsigned char byte; typedef unsigned long ulong; using std::string; using std::ifstream; /* MD5 declaration. */ class MD5 { public: MD5(); MD5(const void *input, size_t length); MD5(const string &str); MD5(ifstream &in); void update(const void *input, size_t length); void update(const string &str); void update(ifstream &in); const byte* digest(); string toString(); void reset(); private: void update(const byte *input, size_t length); void final(); void transform(const byte block[64]); void encode(const ulong *input, byte *output, size_t length); void decode(const byte *input, ulong *output, size_t length); string bytesToHexString(const byte *input, size_t length); /* class uncopyable */ MD5(const MD5&); MD5& operator=(const MD5&); private: ulong _state[4]; /* state (ABCD) */ ulong _count[2]; /* number of bits, modulo 2^64 (low-order word first) */ byte _buffer[64]; /* input buffer */ byte _digest[16]; /* message digest */ bool _finished; /* calculate finished ? */ static const byte PADDING[64]; /* padding for calculate */ static const char HEX[16]; static const size_t BUFFER_SIZE = 1024; }; #endif/*MD5_H*/
md5.cpp
#include "md5.h" using namespace std; /* Constants for MD5Transform routine. */ #define S11 7 #define S12 12 #define S13 17 #define S14 22 #define S21 5 #define S22 9 #define S23 14 #define S24 20 #define S31 4 #define S32 11 #define S33 16 #define S34 23 #define S41 6 #define S42 10 #define S43 15 #define S44 21 /* F, G, H and I are basic MD5 functions. */ #define F(x, y, z) (((x) & (y)) | ((~x) & (z))) #define G(x, y, z) (((x) & (z)) | ((y) & (~z))) #define H(x, y, z) ((x) ^ (y) ^ (z)) #define I(x, y, z) ((y) ^ ((x) | (~z))) /* ROTATE_LEFT rotates x left n bits. */ #define ROTATE_LEFT(x, n) (((x) << (n)) | ((x) >> (32-(n)))) /* FF, GG, HH, and II transformations for rounds 1, 2, 3, and 4. Rotation is separate from addition to prevent recomputation. */ #define FF(a, b, c, d, x, s, ac) { \ (a) += F ((b), (c), (d)) + (x) + ac; \ (a) = ROTATE_LEFT ((a), (s)); \ (a) += (b); \ } #define GG(a, b, c, d, x, s, ac) { \ (a) += G ((b), (c), (d)) + (x) + ac; \ (a) = ROTATE_LEFT ((a), (s)); \ (a) += (b); \ } #define HH(a, b, c, d, x, s, ac) { \ (a) += H ((b), (c), (d)) + (x) + ac; \ (a) = ROTATE_LEFT ((a), (s)); \ (a) += (b); \ } #define II(a, b, c, d, x, s, ac) { \ (a) += I ((b), (c), (d)) + (x) + ac; \ (a) = ROTATE_LEFT ((a), (s)); \ (a) += (b); \ } const byte MD5::PADDING[64] = { 0x80 }; const char MD5::HEX[16] = { '0', '1', '2', '3', '4', '5', '6', '7', '8', '9', 'a', 'b', 'c', 'd', 'e', 'f' }; /* Default construct. */ MD5::MD5() { reset(); } /* Construct a MD5 object with a input buffer. */ MD5::MD5(const void *input, size_t length) { reset(); update(input, length); } /* Construct a MD5 object with a string. */ MD5::MD5(const string &str) { reset(); update(str); } /* Construct a MD5 object with a file. */ MD5::MD5(ifstream &in) { reset(); update(in); } /* Return the message-digest */ const byte* MD5::digest() { if (!_finished) { _finished = true; final(); } return _digest; } /* Reset the calculate state */ void MD5::reset() { _finished = false; /* reset number of bits. */ _count[0] = _count[1] = 0; /* Load magic initialization constants. */ _state[0] = 0x; _state[1] = 0xefcdab89; _state[2] = 0x98badcfe; _state[3] = 0x; } /* Updating the context with a input buffer. */ void MD5::update(const void *input, size_t length) { update((const byte*)input, length); } /* Updating the context with a string. */ void MD5::update(const string &str) { update((const byte*)str.c_str(), str.length()); } /* Updating the context with a file. */ void MD5::update(ifstream &in) { if (!in) return; std::streamsize length; char buffer[BUFFER_SIZE]; while (!in.eof()) { in.read(buffer, BUFFER_SIZE); length = in.gcount(); if (length > 0) update(buffer, length); } in.close(); } /* MD5 block update operation. Continues an MD5 message-digest operation, processing another message block, and updating the context. */ void MD5::update(const byte *input, size_t length) { ulong i, index, partLen; _finished = false; /* Compute number of bytes mod 64 */ index = (ulong)((_count[0] >> 3) & 0x3f); /* update number of bits */ if ((_count[0] += ((ulong)length << 3)) < ((ulong)length << 3)) _count[1]++; _count[1] += ((ulong)length >> 29); partLen = 64 - index; /* transform as many times as possible. */ if (length >= partLen) { memcpy(&_buffer[index], input, partLen); transform(_buffer); for (i = partLen; i + 63 < length; i += 64) transform(&input[i]); index = 0; } else { i = 0; } /* Buffer remaining input */ memcpy(&_buffer[index], &input[i], length - i); } /* MD5 finalization. Ends an MD5 message-_digest operation, writing the the message _digest and zeroizing the context. */ void MD5::final() { byte bits[8]; ulong oldState[4]; ulong oldCount[2]; ulong index, padLen; /* Save current state and count. */ memcpy(oldState, _state, 16); memcpy(oldCount, _count, 8); /* Save number of bits */ encode(_count, bits, 8); /* Pad out to 56 mod 64. */ index = (ulong)((_count[0] >> 3) & 0x3f); padLen = (index < 56) ? (56 - index) : (120 - index); update(PADDING, padLen); /* Append length (before padding) */ update(bits, 8); /* Store state in digest */ encode(_state, _digest, 16); /* Restore current state and count. */ memcpy(_state, oldState, 16); memcpy(_count, oldCount, 8); } /* MD5 basic transformation. Transforms _state based on block. */ void MD5::transform(const byte block[64]) { ulong a = _state[0], b = _state[1], c = _state[2], d = _state[3], x[16]; decode(block, x, 64); /* Round 1 */ FF(a, b, c, d, x[0], S11, 0xd76aa478); /* 1 */ FF(d, a, b, c, x[1], S12, 0xe8c7b756); /* 2 */ FF(c, d, a, b, x[2], S13, 0xdb); /* 3 */ FF(b, c, d, a, x[3], S14, 0xc1bdceee); /* 4 */ FF(a, b, c, d, x[4], S11, 0xf57c0faf); /* 5 */ FF(d, a, b, c, x[5], S12, 0x4787c62a); /* 6 */ FF(c, d, a, b, x[6], S13, 0xa); /* 7 */ FF(b, c, d, a, x[7], S14, 0xfd); /* 8 */ FF(a, b, c, d, x[8], S11, 0xd8); /* 9 */ FF(d, a, b, c, x[9], S12, 0x8b44f7af); /* 10 */ FF(c, d, a, b, x[10], S13, 0xffff5bb1); /* 11 */ FF(b, c, d, a, x[11], S14, 0x895cd7be); /* 12 */ FF(a, b, c, d, x[12], S11, 0x6b); /* 13 */ FF(d, a, b, c, x[13], S12, 0xfd); /* 14 */ FF(c, d, a, b, x[14], S13, 0xae); /* 15 */ FF(b, c, d, a, x[15], S14, 0x49b40821); /* 16 */ /* Round 2 */ GG(a, b, c, d, x[1], S21, 0xf61e2562); /* 17 */ GG(d, a, b, c, x[6], S22, 0xc040b340); /* 18 */ GG(c, d, a, b, x[11], S23, 0x265e5a51); /* 19 */ GG(b, c, d, a, x[0], S24, 0xe9b6c7aa); /* 20 */ GG(a, b, c, d, x[5], S21, 0xd62f105d); /* 21 */ GG(d, a, b, c, x[10], S22, 0x); /* 22 */ GG(c, d, a, b, x[15], S23, 0xd8a1e681); /* 23 */ GG(b, c, d, a, x[4], S24, 0xe7d3fbc8); /* 24 */ GG(a, b, c, d, x[9], S21, 0x21e1cde6); /* 25 */ GG(d, a, b, c, x[14], S22, 0xc33707d6); /* 26 */ GG(c, d, a, b, x[3], S23, 0xf4d50d87); /* 27 */ GG(b, c, d, a, x[8], S24, 0x455a14ed); /* 28 */ GG(a, b, c, d, x[13], S21, 0xa9e3e905); /* 29 */ GG(d, a, b, c, x[2], S22, 0xfcefa3f8); /* 30 */ GG(c, d, a, b, x[7], S23, 0x676f02d9); /* 31 */ GG(b, c, d, a, x[12], S24, 0x8d2a4c8a); /* 32 */ /* Round 3 */ HH(a, b, c, d, x[5], S31, 0xfffa3942); /* 33 */ HH(d, a, b, c, x[8], S32, 0x8771f681); /* 34 */ HH(c, d, a, b, x[11], S33, 0x6d9d6122); /* 35 */ HH(b, c, d, a, x[14], S34, 0xfde5380c); /* 36 */ HH(a, b, c, d, x[1], S31, 0xa4beea44); /* 37 */ HH(d, a, b, c, x[4], S32, 0x4bdecfa9); /* 38 */ HH(c, d, a, b, x[7], S33, 0xf6bb4b60); /* 39 */ HH(b, c, d, a, x[10], S34, 0xbebfbc70); /* 40 */ HH(a, b, c, d, x[13], S31, 0x289b7ec6); /* 41 */ HH(d, a, b, c, x[0], S32, 0xeaa127fa); /* 42 */ HH(c, d, a, b, x[3], S33, 0xd4ef3085); /* 43 */ HH(b, c, d, a, x[6], S34, 0x4881d05); /* 44 */ HH(a, b, c, d, x[9], S31, 0xd9d4d039); /* 45 */ HH(d, a, b, c, x[12], S32, 0xe6db99e5); /* 46 */ HH(c, d, a, b, x[15], S33, 0x1fa27cf8); /* 47 */ HH(b, c, d, a, x[2], S34, 0xc4ac5665); /* 48 */ /* Round 4 */ II(a, b, c, d, x[0], S41, 0xf); /* 49 */ II(d, a, b, c, x[7], S42, 0x432aff97); /* 50 */ II(c, d, a, b, x[14], S43, 0xab9423a7); /* 51 */ II(b, c, d, a, x[5], S44, 0xfc93a039); /* 52 */ II(a, b, c, d, x[12], S41, 0x655b59c3); /* 53 */ II(d, a, b, c, x[3], S42, 0x8f0ccc92); /* 54 */ II(c, d, a, b, x[10], S43, 0xffeff47d); /* 55 */ II(b, c, d, a, x[1], S44, 0x85845dd1); /* 56 */ II(a, b, c, d, x[8], S41, 0x6fa87e4f); /* 57 */ II(d, a, b, c, x[15], S42, 0xfe2ce6e0); /* 58 */ II(c, d, a, b, x[6], S43, 0xa); /* 59 */ II(b, c, d, a, x[13], S44, 0x4e0811a1); /* 60 */ II(a, b, c, d, x[4], S41, 0xf7537e82); /* 61 */ II(d, a, b, c, x[11], S42, 0xbd3af235); /* 62 */ II(c, d, a, b, x[2], S43, 0x2ad7d2bb); /* 63 */ II(b, c, d, a, x[9], S44, 0xeb86d391); /* 64 */ _state[0] += a; _state[1] += b; _state[2] += c; _state[3] += d; } /* Encodes input (ulong) into output (byte). Assumes length is a multiple of 4. */ void MD5::encode(const ulong *input, byte *output, size_t length) { for (size_t i = 0, j = 0; j < length; i++, j += 4) { output[j] = (byte)(input[i] & 0xff); output[j + 1] = (byte)((input[i] >> 8) & 0xff); output[j + 2] = (byte)((input[i] >> 16) & 0xff); output[j + 3] = (byte)((input[i] >> 24) & 0xff); } } /* Decodes input (byte) into output (ulong). Assumes length is a multiple of 4. */ void MD5::decode(const byte *input, ulong *output, size_t length) { for (size_t i = 0, j = 0; j < length; i++, j += 4) { output[i] = ((ulong)input[j]) | (((ulong)input[j + 1]) << 8) | (((ulong)input[j + 2]) << 16) | (((ulong)input[j + 3]) << 24); } } /* Convert byte array to hex string. */ string MD5::bytesToHexString(const byte *input, size_t length) { string str; str.reserve(length << 1); for (size_t i = 0; i < length; i++) { int t = input[i]; int a = t / 16; int b = t % 16; str.append(1, HEX[a]); str.append(1, HEX[b]); } return str; } /* Convert digest to string value */ string MD5::toString() { return bytesToHexString(digest(), 16); }
test.cpp
#include "md5.h" #include <iostream> using namespace std; void PrintMD5(const string &str, MD5 &md5) { cout << "MD5(\"" << str << "\") = " << md5.toString() << endl; } string FileDigest(const string &file) { ifstream in(file.c_str(), ios::binary); if (!in) return ""; MD5 md5; std::streamsize length; char buffer[1024]; while (!in.eof()) { in.read(buffer, 1024); length = in.gcount(); if (length > 0) md5.update(buffer, length); } in.close(); return md5.toString(); } int main() { if (FileDigest("D:\\1.2.txt") == FileDigest("E:\\1.2.txt")) { cout << "Identical\n"; //相同 } else { cout << "Disaffinity\n"; //不相同 } system("pause"); return 0; }
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