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MD5的介绍,算法和C、VB、Delphi实现

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http://download.winzheng.com/infoView/Article_861.htm

http://download.winzheng.com/infoView/Article_331.htm

MD5简介:

MD5的全称是Message-Digest Algorithm 5,在90年代初由MIT的计算机科学实验室和RSA Data Security Inc发明,经MD2、MD3和MD4发展而来。

Message-Digest泛指字节串(Message)的Hash变换,就是把一个任意长度的字节串变换成一定长的大整数。请注意我使用了“字节串”而不是“字符串”这个词,是因为这种变换只与字节的值有关,与字符集或编码方式无关。

MD5将任意长度的“字节串”变换成一个128bit的大整数,并且它是一个不可逆的字符串变换算法,(我刚开始还愚蠢的认为MD5是可逆的算法 感谢Stkman大哥的讲解)换句话说就是,即使你看到源程序和算法描述,也无法将一个MD5的值变换回原始的字符串,从数学原理上说,是因为原始的字符串有无穷多个,这有点象不存在反函数的数学函数。

MD5的典型应用是对一段Message(字节串)产生fingerprint(指纹),以防止被“篡改”。举个例子,你将一段话写在一个叫readme.txt文件中,并对这个readme.txt产生一个MD5的值并记录在案,然后你可以传播这个文件给别人,别人如果修改了文件中的任何内容,你对这个文件重新计算MD5时就会发现。如果再有一个第三方的认证机构,用MD5还可以防止文件作者的“抵赖”,这就是所谓的数字签名应用。

MD5还广泛用于加密和解密技术上,在很多操作系统中,用户的密码是以MD5值(或类似的其它算法)的方式保存的, 用户Login的时候,系统是把用户输入的密码计算成MD5值,然后再去和系统中保存的MD5值进行比较,而系统并不“知道”用户的密码是什么。

一些黑客破获这种密码的方法是一种被称为“跑字典”的方法。有两种方法得到字典,一种是日常搜集的用做密码的字符串表,另一种是用排列组合方法生成的,先用MD5程序计算出这些字典项的MD5值,然后再用目标的MD5值在这个字典中检索。

即使假设密码的最大长度为8,同时密码只能是字母和数字,共26+26+10=62个字符,排列组合出的字典的项数则是P(62,1)+P(62,2)….+P(62,8),那也已经是一个很天文的数字了,存储这个字典就需要TB级的磁盘组,而且这种方法还有一个前提,就是能获得目标账户的密码MD5值的情况下才可以。

在软件的加密保护中 很多软件采用MD5保护 但是由于MD5算法为不可逆算法 所以所有的软件都是使用MD5算法作为一个加密的中间步骤,比如对用户名做一个MD5变换,结果再进行一个可逆的加密变换,做注册机时也只要先用MD5变换,然后再用一个逆算法。所以对于破解者来说只要能看出是MD5就很容易了。

MD5代码的特点明显,跟踪时很容易发现,如果软件采用MD5算法,在数据初始化的时候必然用到以下的四个常数
0x67452301;
0xefcdab89;
0x98badcfe;
0x10325476;
若常数不等 则可能是变形的MD5算法 或者根本就不是这个算法。在内存了也就是
01 23 45 67 89 ab cd ef fe dc ......32 10 16个字节
――――――――――――――――――――――――――――――――――――――――――――

MD5算法:

第一步:增加填充
增加padding使得数据长度(bit为单位)模512为448。如果数据长度正好是模512为448,增加512个填充bit,也就是说填充的个数为1-512。第一个bit为1,其余全部为0。
第二步:补足长度
将数据长度转换为64bit的数值,如果长度超过64bit所能表示的数据长度的范围,值保留最后64bit,增加到前面填充的数据后面,使得最后的数据为512bit的整数倍。也就是32bit的16倍的整数倍。在RFC1321中,32bit称为一个word。
第三步:初始化变量:
用到4个变量,分别为A、B、C、D,均为32bit长。初始化为:
A: 01 23 45 67
B: 89 ab cd ef
C: fe dc ba 98
D: 76 54 32 10
第四步:数据处理:
首先定义4个辅助函数:
F(X,Y,Z) = XY v not(X) Z
G(X,Y,Z) = XZ v Y not(Z)
H(X,Y,Z) = X xor Y xor Z
I(X,Y,Z) = Y xor (X v not(Z))
其中:XY表示按位与,X v Y表示按位或,not(X)表示按位取反。xor表示按位异或。
函数中的X、Y、Z均为32bit。

定义一个需要用到的数组:T(i),i取值1-64,T(i)等于abs(sin(i))的4294967296倍的整数部分,i为弧度。
假设前三步处理后的数据长度为32*16*Nbit

第五步:输出:
最后得到的ABCD为输出结果,共128bit。A为低位,D为高位。

MD5在编程中的实现


下面来看看如何在C语言和VB中实现MD5算法
――――――――――――――――――――――――――――――――――――――――――――

*/
#ifndef PROTOTYPES
#define PROTOTYPES 0
#endif
typedef unsigned char *POINTER;
typedef unsigned short int UINT2;
typedef unsigned long int UINT4;
#if PROTOTYPES
#define PROTO_LIST(list) list
#else
#define PROTO_LIST(list) ()
#endif

―――――――――― MD5.h――――――――――――――――――――――――――――

typedef struct {
UINT4 state[4];
UINT4 count[2];
unsigned char buffer[64];
} MD5_CTX;

void MD5Init PROTO_LIST ((MD5_CTX *));
void MD5Update PROTO_LIST
((MD5_CTX *, unsigned char *, unsigned int));
void MD5Final PROTO_LIST ((unsigned char [16], MD5_CTX *));

※※※※※※※※※MD5C.C※※※※※※※※※※※※※※※※※※※※※※※※
#include "global.h"
#include "md5.h"
#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

static void MD5Transform PROTO_LIST ((UINT4 [4], unsigned char [64]));
static void Encode PROTO_LIST
((unsigned char *, UINT4 *, unsigned int));
static void Decode PROTO_LIST
((UINT4 *, unsigned char *, unsigned int));
static void MD5_memcpy PROTO_LIST ((POINTER, POINTER, unsigned int));
static void MD5_memset PROTO_LIST ((POINTER, int, unsigned int));

static unsigned char PADDING[64] = {
0x80, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0
};

/* 定义F G H I 为四个基数

#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)))
#define ROTATE_LEFT(x, n) (((x) << (n)) | ((x) >> (32-(n))))
#define FF(a, b, c, d, x, s, ac) { \
(a) += F ((b), (c), (d)) + (x) + (UINT4)(ac); \
(a) = ROTATE_LEFT ((a), (s)); \
(a) += (b); \
}
#define GG(a, b, c, d, x, s, ac) { \
(a) += G ((b), (c), (d)) + (x) + (UINT4)(ac); \
(a) = ROTATE_LEFT ((a), (s)); \
(a) += (b); \
}
#define HH(a, b, c, d, x, s, ac) { \
(a) += H ((b), (c), (d)) + (x) + (UINT4)(ac); \
(a) = ROTATE_LEFT ((a), (s)); \
(a) += (b); \
}
#define II(a, b, c, d, x, s, ac) { \
(a) += I ((b), (c), (d)) + (x) + (UINT4)(ac); \
(a) = ROTATE_LEFT ((a), (s)); \
(a) += (b); \
}

/*开始进行MD5计算
void MD5Init (context)
MD5_CTX *context;
{
context->count[0] = context->count[1] = 0;
/* 在这里定义四个常数,也就是我们刚才讲到的四个特征数.

context->state[0] = 0x67452301;
context->state[1] = 0xefcdab89;
context->state[2] = 0x98badcfe;
context->state[3] = 0x10325476;
}

void MD5Update (context, input, inputLen)
MD5_CTX *context;
unsigned char *input;
unsigned int inputLen;
{
unsigned int i, index, partLen;

index = (unsigned int)((context->count[0] >> 3) & 0x3F);

if ((context->count[0] += ((UINT4)inputLen << 3)) < ((UINT4)inputLen << 3))
context->count[1]++;
context->count[1] += ((UINT4)inputLen >> 29);

partLen = 64 - index;

if (inputLen >= partLen) {
MD5_memcpy
((POINTER)&context->buffer[index], (POINTER)input, partLen);
MD5Transform (context->state, context->buffer);

for (i = partLen; i + 63 < inputLen; i += 64)
MD5Transform (context->state, &input[i]);

index = 0;
}
else
i = 0;

MD5_memcpy
((POINTER)&context->buffer[index], (POINTER)&input[i],
inputLen-i);
}

void MD5Final (digest, context)
unsigned char digest[16];
MD5_CTX *context;
{
unsigned char bits[8];
unsigned int index, padLen;

Encode (bits, context->count, 8);

index = (unsigned int)((context->count[0] >> 3) & 0x3f);
padLen = (index < 56) ? (56 - index) : (120 - index);
MD5Update (context, PADDING, padLen);
MD5Update (context, bits, 8);

Encode (digest, context->state, 16);
MD5_memset ((POINTER)context, 0, sizeof (*context));
}

static void MD5Transform (state, block)
UINT4 state[4];
unsigned char block[64];
{
UINT4 a = state[0], b = state[1], c = state[2], d = state[3], x[16];

Decode (x, block, 64);

/* 第一轮循环 */
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, 0x242070db); /* 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, 0xa8304613); /* 7 */
FF (b, c, d, a, x[ 7], S14, 0xfd469501); /* 8 */
FF (a, b, c, d, x[ 8], S11, 0x698098d8); /* 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, 0x6b901122); /* 13 */
FF (d, a, b, c, x[13], S12, 0xfd987193); /* 14 */
FF (c, d, a, b, x[14], S13, 0xa679438e); /* 15 */
FF (b, c, d, a, x[15], S14, 0x49b40821); /* 16 */

/* 第二轮循环 */
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, 0x2441453); /* 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 */

/* 第三轮循环 */
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 */

/* 第四轮循环 */
II (a, b, c, d, x[ 0], S41, 0xf4292244); /* 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, 0xa3014314); /* 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;

MD5_memset ((POINTER)x, 0, sizeof (x));

}
static void Encode (output, input, len)
unsigned char *output;
UINT4 *input;
unsigned int len;
{
unsigned int i, j;

for (i = 0, j = 0; j < len; i++, j += 4) {
output[j] = (unsigned char)(input[i] & 0xff);
output[j+1] = (unsigned char)((input[i] >> 8) & 0xff);
output[j+2] = (unsigned char)((input[i] >> 16) & 0xff);
output[j+3] = (unsigned char)((input[i] >> 24) & 0xff);
}
}

static void Decode (output, input, len)
UINT4 *output;
unsigned char *input;
unsigned int len;
{
unsigned int i, j;

for (i = 0, j = 0; j < len; i++, j += 4)
output[i] = ((UINT4)input[j]) | (((UINT4)input[j+1]) << 8) |
(((UINT4)input[j+2]) << 16) | (((UINT4)input[j+3]) << 24);
}

static void MD5_memcpy (output, input, len)
POINTER output;
POINTER input;
unsigned int len;
{
unsigned int i;

for (i = 0; i < len; i++) output[i] = input[i];
}

static void MD5_memset (output, value, len)
POINTER output;
int value;
unsigned int len;
{
unsigned int i;

for (i = 0; i < len; i++)
((char *)output)[i] = (char)value;
}
――――――――――――――――C代码结束―――――――――――――――――――――

在VB中实现MD5算法
――――――――――――――――――――――――――――――――――――――――――
Option Explicit

Dim w1 As String, w2 As String, w3 As String, w4 As String

Function MD5F(ByVal tempstr As String, ByVal w As String, ByVal X As String, ByVal y As String, ByVal z As String, ByVal Xin As String, ByVal qdata As String, ByVal rots As Integer)
MD5F = BigMod32Add(RotLeft(BigMod32Add(BigMod32Add(w, tempstr), BigMod32Add(Xin, qdata)), rots), X)
End Function

Sub MD5F1(w As String, ByVal X As String, ByVal y As String, ByVal z As String, ByVal Xin As String, ByVal qdata As String, ByVal rots As Integer)
Dim tempstr As String

tempstr = BigXOR(z, BigAND(X, BigXOR(y, z)))
w = MD5F(tempstr, w, X, y, z, Xin, qdata, rots)
End Sub

Sub MD5F2(w As String, ByVal X As String, ByVal y As String, ByVal z As String, ByVal Xin As String, ByVal qdata As String, ByVal rots As Integer)
Dim tempstr As String

tempstr = BigXOR(y, BigAND(z, BigXOR(X, y)))
w = MD5F(tempstr, w, X, y, z, Xin, qdata, rots)
End Sub

Sub MD5F3(w As String, ByVal X As String, ByVal y As String, ByVal z As String, ByVal Xin As String, ByVal qdata As String, ByVal rots As Integer)
Dim tempstr As String

tempstr = BigXOR(X, BigXOR(y, z))
w = MD5F(tempstr, w, X, y, z, Xin, qdata, rots)
End Sub

Sub MD5F4(w As String, ByVal X As String, ByVal y As String, ByVal z As String, ByVal Xin As String, ByVal qdata As String, ByVal rots As Integer)
Dim tempstr As String

tempstr = BigXOR(y, BigOR(X, BigNOT(z)))
w = MD5F(tempstr, w, X, y, z, Xin, qdata, rots)
End Sub

Function MD5_Calc(ByVal hashthis As String) As String
ReDim buf(0 To 3) As String
ReDim Xin(0 To 15) As String
Dim tempnum As Integer, tempnum2 As Integer, loopit As Integer, loopouter As Integer, loopinner As Integer
Dim a As String, b As String, c As String, d As String

tempnum = 8 * Len(hashthis)
hashthis = hashthis + Chr$(128) 'Add binary 10000000
tempnum2 = 56 - Len(hashthis) Mod 64

If tempnum2 < 0 Then
tempnum2 = 64 + tempnum2
End If

hashthis = hashthis + String$(tempnum2, Chr$(0))

For loopit = 1 To 8
hashthis = hashthis + Chr$(tempnum Mod 256)
tempnum = tempnum - tempnum Mod 256
tempnum = tempnum / 256
Next loopit


buf(0) = "67452301"
buf(1) = "efcdab89"
buf(2) = "98badcfe"
buf(3) = "10325476"


For loopouter = 0 To Len(hashthis) / 64 - 1
a = buf(0)
b = buf(1)
c = buf(2)
d = buf(3)

' Get the 512 bits
For loopit = 0 To 15
Xin(loopit) = ""
For loopinner = 1 To 4
Xin(loopit) = Hex$(Asc(Mid$(hashthis, 64 * loopouter + 4 * loopit + loopinner, 1))) + Xin(loopit)
If Len(Xin(loopit)) Mod 2 Then Xin(loopit) = "0" + Xin(loopit)
Next loopinner
Next loopit

' 第一轮循环
MD5F1 a, b, c, d, Xin(0), "d76aa478", 7
MD5F1 d, a, b, c, Xin(1), "e8c7b756", 12
MD5F1 c, d, a, b, Xin(2), "242070db", 17
MD5F1 b, c, d, a, Xin(3), "c1bdceee", 22
MD5F1 a, b, c, d, Xin(4), "f57c0faf", 7
MD5F1 d, a, b, c, Xin(5), "4787c62a", 12
MD5F1 c, d, a, b, Xin(6), "a8304613", 17
MD5F1 b, c, d, a, Xin(7), "fd469501", 22
MD5F1 a, b, c, d, Xin(8), "698098d8", 7
MD5F1 d, a, b, c, Xin(9), "8b44f7af", 12
MD5F1 c, d, a, b, Xin(10), "ffff5bb1", 17
MD5F1 b, c, d, a, Xin(11), "895cd7be", 22
MD5F1 a, b, c, d, Xin(12), "6b901122", 7
MD5F1 d, a, b, c, Xin(13), "fd987193", 12
MD5F1 c, d, a, b, Xin(14), "a679438e", 17
MD5F1 b, c, d, a, Xin(15), "49b40821", 22

' 第二轮循环
MD5F2 a, b, c, d, Xin(1), "f61e2562", 5
MD5F2 d, a, b, c, Xin(6), "c040b340", 9
MD5F2 c, d, a, b, Xin(11), "265e5a51", 14
MD5F2 b, c, d, a, Xin(0), "e9b6c7aa", 20
MD5F2 a, b, c, d, Xin(5), "d62f105d", 5
MD5F2 d, a, b, c, Xin(10), "02441453", 9
MD5F2 c, d, a, b, Xin(15), "d8a1e681", 14
MD5F2 b, c, d, a, Xin(4), "e7d3fbc8", 20
MD5F2 a, b, c, d, Xin(9), "21e1cde6", 5
MD5F2 d, a, b, c, Xin(14), "c33707d6", 9
MD5F2 c, d, a, b, Xin(3), "f4d50d87", 14
MD5F2 b, c, d, a, Xin(8), "455a14ed", 20
MD5F2 a, b, c, d, Xin(13), "a9e3e905", 5
MD5F2 d, a, b, c, Xin(2), "fcefa3f8", 9
MD5F2 c, d, a, b, Xin(7), "676f02d9", 14
MD5F2 b, c, d, a, Xin(12), "8d2a4c8a", 20

' 第三轮循环
MD5F3 a, b, c, d, Xin(5), "fffa3942", 4
MD5F3 d, a, b, c, Xin(8), "8771f681", 11
MD5F3 c, d, a, b, Xin(11), "6d9d6122", 16
MD5F3 b, c, d, a, Xin(14), "fde5380c", 23
MD5F3 a, b, c, d, Xin(1), "a4beea44", 4
MD5F3 d, a, b, c, Xin(4), "4bdecfa9", 11
MD5F3 c, d, a, b, Xin(7), "f6bb4b60", 16
MD5F3 b, c, d, a, Xin(10), "bebfbc70", 23
MD5F3 a, b, c, d, Xin(13), "289b7ec6", 4
MD5F3 d, a, b, c, Xin(0), "eaa127fa", 11
MD5F3 c, d, a, b, Xin(3), "d4ef3085", 16
MD5F3 b, c, d, a, Xin(6), "04881d05", 23
MD5F3 a, b, c, d, Xin(9), "d9d4d039", 4
MD5F3 d, a, b, c, Xin(12), "e6db99e5", 11
MD5F3 c, d, a, b, Xin(15), "1fa27cf8", 16
MD5F3 b, c, d, a, Xin(2), "c4ac5665", 23

' 第四轮循环
MD5F4 a, b, c, d, Xin(0), "f4292244", 6
MD5F4 d, a, b, c, Xin(7), "432aff97", 10
MD5F4 c, d, a, b, Xin(14), "ab9423a7", 15
MD5F4 b, c, d, a, Xin(5), "fc93a039", 21
MD5F4 a, b, c, d, Xin(12), "655b59c3", 6
MD5F4 d, a, b, c, Xin(3), "8f0ccc92", 10
MD5F4 c, d, a, b, Xin(10), "ffeff47d", 15
MD5F4 b, c, d, a, Xin(1), "85845dd1", 21
MD5F4 a, b, c, d, Xin(8), "6fa87e4f", 6
MD5F4 d, a, b, c, Xin(15), "fe2ce6e0", 10
MD5F4 c, d, a, b, Xin(6), "a3014314", 15
MD5F4 b, c, d, a, Xin(13), "4e0811a1", 21
MD5F4 a, b, c, d, Xin(4), "f7537e82", 6
MD5F4 d, a, b, c, Xin(11), "bd3af235", 10
MD5F4 c, d, a, b, Xin(2), "2ad7d2bb", 15
MD5F4 b, c, d, a, Xin(9), "eb86d391", 21

buf(0) = BigAdd(buf(0), a)
buf(1) = BigAdd(buf(1), b)
buf(2) = BigAdd(buf(2), c)
buf(3) = BigAdd(buf(3), d)
Next loopouter

hashthis = ""
For loopit = 0 To 3
For loopinner = 3 To 0 Step -1
hashthis = hashthis + Chr(Val("&H" + Mid$(buf(loopit), 1 + 2 * loopinner, 2)))
Next loopinner
Next loopit

MD5_Calc = hashthis
End Function

Function BigMod32Add(ByVal value1 As String, ByVal value2 As String) As String
BigMod32Add = Right$(BigAdd(value1, value2), 8)
End Function

Public Function BigAdd(ByVal value1 As String, ByVal value2 As String) As String
Dim valueans As String
Dim loopit As Integer, tempnum As Integer

tempnum = Len(value1) - Len(value2)
If tempnum < 0 Then
value1 = Space$(Abs(tempnum)) + value1
ElseIf tempnum > 0 Then
value2 = Space$(Abs(tempnum)) + value2
End If

tempnum = 0
For loopit = Len(value1) To 1 Step -1
tempnum = tempnum + Val("&H" + Mid$(value1, loopit, 1)) + Val("&H" + Mid$(value2, loopit, 1))
valueans = Hex$(tempnum Mod 16) + valueans
tempnum = Int(tempnum / 16)
Next loopit

If tempnum <> 0 Then
valueans = Hex$(tempnum) + valueans
End If

BigAdd = Right(valueans, 8)
End Function

Public Function RotLeft(ByVal value1 As String, ByVal rots As Integer) As String
Dim tempstr As String
Dim loopit As Integer, loopinner As Integer
Dim tempnum As Integer

rots = rots Mod 32

If rots = 0 Then
RotLeft = value1
Exit Function
End If

value1 = Right$(value1, 8)
tempstr = String$(8 - Len(value1), "0") + value1
value1 = ""

' 转换成二进制形式
For loopit = 1 To 8
tempnum = Val("&H" + Mid$(tempstr, loopit, 1))
For loopinner = 3 To 0 Step -1
If tempnum And 2 ^ loopinner Then
value1 = value1 + "1"
Else
value1 = value1 + "0"
End If
Next loopinner
Next loopit
tempstr = Mid$(value1, rots + 1) + Left$(value1, rots)

' 转换为十六进制
value1 = ""
For loopit = 0 To 7
tempnum = 0
For loopinner = 0 To 3
If Val(Mid$(tempstr, 4 * loopit + loopinner + 1, 1)) Then

tempnum = tempnum + 2 ^ (3 - loopinner)
End If
Next loopinner
value1 = value1 + Hex$(tempnum)
Next loopit

RotLeft = Right(value1, 8)
End Function

Function BigAND(ByVal value1 As String, ByVal value2 As String) As String
Dim valueans As String
Dim loopit As Integer, tempnum As Integer

tempnum = Len(value1) - Len(value2)
If tempnum < 0 Then
value2 = Mid$(value2, Abs(tempnum) + 1)
ElseIf tempnum > 0 Then
value1 = Mid$(value1, tempnum + 1)
End If

For loopit = 1 To Len(value1)
valueans = valueans + Hex$(Val("&H" + Mid$(value1, loopit, 1)) And Val("&H" + Mid$(value2, loopit, 1)))
Next loopit

BigAND = valueans
End Function

Function BigNOT(ByVal value1 As String) As String
Dim valueans As String
Dim loopit As Integer

value1 = Right$(value1, 8)
value1 = String$(8 - Len(value1), "0") + value1
For loopit = 1 To 8
valueans = valueans + Hex$(15 Xor Val("&H" + Mid$(value1, loopit, 1)))
Next loopit

BigNOT = valueans
End Function

Function BigOR(ByVal value1 As String, ByVal value2 As String) As String
Dim valueans As String
Dim loopit As Integer, tempnum As Integer

tempnum = Len(value1) - Len(value2)
If tempnum < 0 Then
valueans = Left$(value2, Abs(tempnum))
value2 = Mid$(value2, Abs(tempnum) + 1)
ElseIf tempnum > 0 Then
valueans = Left$(value1, Abs(tempnum))
value1 = Mid$(value1, tempnum + 1)
End If

For loopit = 1 To Len(value1)
valueans = valueans + Hex$(Val("&H" + Mid$(value1, loopit, 1)) Or Val("&H" + Mid$(value2, loopit, 1)))
Next loopit

BigOR = valueans
End Function

Function BigXOR(ByVal value1 As String, ByVal value2 As String) As String
Dim valueans As String
Dim loopit As Integer, tempnum As Integer

tempnum = Len(value1) - Len(value2)
If tempnum < 0 Then
valueans = Left$(value2, Abs(tempnum))
value2 = Mid$(value2, Abs(tempnum) + 1)
ElseIf tempnum > 0 Then
valueans = Left$(value1, Abs(tempnum))
value1 = Mid$(value1, tempnum + 1)
End If

For loopit = 1 To Len(value1)
valueans = valueans + Hex$(Val("&H" + Mid$(value1, loopit, 1)) Xor Val("&H" + Mid$(value2, loopit, 1)))
Next loopit

BigXOR = Right(valueans, 8)
End Function

/********** Delphi ****************/

下面的函数是计算核心,至于分组和填充部分就略去了。
====================================================
参数说明:
AA,BB,CC,DD是摘要信息,一般初始化为
AA := $67452301;
BB := $EFCDAB89;
CC := $98BADCFE;
DD := $10325476;
MSGs是一个长64的LongWord数组,保存的就是要摘要的信息
====================================================
procedure TMainForm.MD5(var AA, BB, CC, DD: LongWord; MSGs: array of LongWord);
var
  A, B, C, D: LongWord;
  T: array[1..64] of LongWord;
  i: integer;

//没有循环左移的位运算,自己写一个
  function ROL(r: LongWord; bit: byte): LongWord;
  var
    ii: byte;
  begin
    for ii:=1 to bit do
      if r and $80000000 = $80000000 then
        r := (r shl 1) or $01
      else
        r := (r shl 1);
    Result := r;
  end;

//四轮运算中的函数定义,也可以自行定义的
  procedure FF(var a: LongWord; b, c, d: LongWord; k, s, i: byte);
  begin
    a := b + ROL((a + ((b and c) or (not b and d)) + MSGs[k] + T[i]), s);
  end;
  procedure GG(var a: LongWord; b, c, d: LongWord; k, s, i: byte);
  begin
    a := b + ROL((a + ((b and d) or (c and not d)) + MSGs[k] + T[i]), s);
  end;
  procedure HH(var a: LongWord; b, c, d: LongWord; k, s, i: byte);
  begin
    a := b + ROL((a + (b xor c xor d) + MSGs[k] + T[i]), s);
  end;
  procedure II(var a: LongWord; b, c, d: LongWord; k, s, i: byte);
  begin
    a := b + ROL((a + (c xor (b or not d)) + MSGs[k] + T[i]), s);
  end;
 
begin
  fillchar(T, sizeof(T), 0);

//常数数组的初始化,通常是这种形式,当然可以自己做手脚的
  for i:=1 to 64 do
    T[i] := Trunc(4294967296*abs(sin(i)));

  A := AA; B := BB; C := CC; D := DD;
//第一轮
  FF(A, B, C, D, 0, 7, 1); FF(D, A, B, C, 1, 12, 2); FF(C, D, A, B, 2, 17, 3); FF(B, C, D, A, 3, 22, 4);
  FF(A, B, C, D, 4, 7, 5); FF(D, A, B, C, 5, 12, 6); FF(C, D, A, B, 6, 17, 7); FF(B, C, D, A, 7, 22, 8);
  FF(A, B, C, D, 8, 7, 9); FF(D, A, B, C, 9, 12,10); FF(C, D, A, B, 10,17,11); FF(B, C, D, A, 11,22,12);
  FF(A, B, C, D, 12,7,13); FF(D, A, B, C, 13,12,14); FF(C, D, A, B, 14,17,15); FF(B, C, D, A, 15,22,16);

//第二轮
  GG(A, B, C, D, 1, 5,17); GG(D, A, B, C, 6,  9,18); GG(C, D, A, B, 11,14,19); GG(B, C, D, A, 0, 20,20);
  GG(A, B, C, D, 5, 5,21); GG(D, A, B, C, 10, 9,22); GG(C, D, A, B, 15,14,23); GG(B, C, D, A, 4, 20,24);
  GG(A, B, C, D, 9, 5,25); GG(D, A, B, C, 14, 9,26); GG(C, D, A, B, 3, 14,27); GG(B, C, D, A, 8, 20,28);
  GG(A, B, C, D, 13,5,29); GG(D, A, B, C, 2,  9,30); GG(C, D, A, B, 7, 14,31); GG(B, C, D, A, 12,20,32);

//第三轮
  HH(A, B, C, D, 5, 4,33); HH(D, A, B, C, 8, 11,34); HH(C, D, A, B, 11,16,35); HH(B, C, D, A, 14,23,36);
  HH(A, B, C, D, 1, 4,37); HH(D, A, B, C, 4, 11,38); HH(C, D, A, B, 7, 16,39); HH(B, C, D, A, 10,23,40);
  HH(A, B, C, D, 13,4,41); HH(D, A, B, C, 0, 11,42); HH(C, D, A, B, 3, 16,43); HH(B, C, D, A, 6, 23,44);
  HH(A, B, C, D, 9, 4,45); HH(D, A, B, C, 12,11,46); HH(C, D, A, B, 15,16,47); HH(B, C, D, A, 2, 23,48);

//第四轮
  II(A, B, C, D, 0, 6,49); II(D, A, B, C, 7, 10,50); II(C, D, A, B, 14,15,51); II(B, C, D, A, 5, 21,52);
  II(A, B, C, D, 12,6,53); II(D, A, B, C, 3, 10,54); II(C, D, A, B, 10,15,55); II(B, C, D, A, 1, 21,56);
  II(A, B, C, D, 8, 6,57); II(D, A, B, C, 15,10,58); II(C, D, A, B, 6, 15,59); II(B, C, D, A, 13,21,60);
  II(A, B, C, D, 4, 6,61); II(D, A, B, C, 11,10,62); II(C, D, A, B, 2, 15,63); II(B, C, D, A, 9, 21,64);

  AA := A + AA;
  BB := B + BB;
  CC := C + CC;
  DD := D + DD;
end;

MD5的VB类模块源码

在窗体中调用时如下:
set c1=new class 'class 为你存的类模快名
text1.text=md5_string_calc(sourcestring)

类模块源码如下:

Option Explicit

' Visual Basic MD5 Implementation
' Robert Hubley and David Midkiff (mdj2023@hotmail.com)
' modify by simonyan, Support chinese
' Standard MD5 implementation optimised for the Visual Basic environment.
' Conforms to all standards and can be used in digital signature or password
' protection related schemes.

Private Const OFFSET_4 = 4294967296#
Private Const MAXINT_4 = 2147483647
Private State(4) As Long
Private ByteCounter As Long
Private ByteBuffer(63) As Byte
Private Const S11 = 7
Private Const S12 = 12
Private Const S13 = 17
Private Const S14 = 22
Private Const S21 = 5
Private Const S22 = 9
Private Const S23 = 14
Private Const S24 = 20
Private Const S31 = 4
Private Const S32 = 11
Private Const S33 = 16
Private Const S34 = 23
Private Const S41 = 6
Private Const S42 = 10
Private Const S43 = 15
Private Const S44 = 21
Property Get RegisterA() As String
    RegisterA = State(1)
End Property
Property Get RegisterB() As String
    RegisterB = State(2)
End Property

Property Get RegisterC() As String
    RegisterC = State(3)
End Property

Property Get RegisterD() As String
    RegisterD = State(4)
End Property
Public Function Md5_String_Calc(SourceString As String) As String
    MD5Init
    MD5Update LenB(StrConv(SourceString, vbFromUnicode)), StringToArray(SourceString)
    MD5Final
    Md5_String_Calc = GetValues
End Function
Public Function Md5_File_Calc(InFile As String) As String
On Error GoTo errorhandler
GoSub begin

errorhandler
    DigestFileToHexStr = ""
    Exit Function
   
begin:
    Dim FileO As Integer
    FileO = FreeFile
    Call FileLen(InFile)
    Open InFile For Binary Access Read As #FileO
    MD5Init
    Do While Not EOF(FileO)
        Get #FileO, , ByteBuffer
        If Loc(FileO) < LOF(FileO) Then
            ByteCounter = ByteCounter + 64
            MD5Transform ByteBuffer
        End If
    Loop
    ByteCounter = ByteCounter + (LOF(FileO) Mod 64)
    Close #FileO
    MD5Final
    Md5_File_Calc = GetValues
End Function
Private Function StringToArray(InString As String) As Byte()
    Dim I As Integer, bytBuffer() As Byte
    ReDim bytBuffer(LenB(StrConv(InString, vbFromUnicode)))
    bytBuffer = StrConv(InString, vbFromUnicode)
    StringToArray = bytBuffer
End Function
Public Function GetValues() As String
    GetValues = LongToString(State(1)) & LongToString(State(2)) & LongToString(State(3)) & LongToString(State(4))
End Function
Private Function LongToString(Num As Long) As String
        Dim A As Byte, B As Byte, C As Byte, D As Byte
        A = Num And &HFF&
        If A < 16 Then LongToString = "0" & Hex(A) Else LongToString = Hex(A)
        B = (Num And &HFF00&) \ 256
        If B < 16 Then LongToString = LongToString & "0" & Hex(B) Else LongToString = LongToString & Hex(B)
        C = (Num And &HFF0000) \ 65536
        If C < 16 Then LongToString = LongToString & "0" & Hex(C) Else LongToString = LongToString & Hex(C)
        If Num < 0 Then D = ((Num And &H7F000000) \ 16777216) Or &H80& Else D = (Num And &HFF000000) \ 16777216
        If D < 16 Then LongToString = LongToString & "0" & Hex(D) Else LongToString = LongToString & Hex(D)
End Function

Public Sub MD5Init()
    ByteCounter = 0
    State(1) = UnsignedToLong(1732584193#)
    State(2) = UnsignedToLong(4023233417#)
    State(3) = UnsignedToLong(2562383102#)
    State(4) = UnsignedToLong(271733878#)
End Sub

Public Sub MD5Final()
    Dim dblBits As Double, padding(72) As Byte, lngBytesBuffered As Long
    padding(0) = &H80
    dblBits = ByteCounter * 8
    lngBytesBuffered = ByteCounter Mod 64
    If lngBytesBuffered <= 56 Then MD5Update 56 - lngBytesBuffered, padding Else MD5Update 120 - ByteCounter, padding
    padding(0) = UnsignedToLong(dblBits) And &HFF&
    padding(1) = UnsignedToLong(dblBits) \ 256 And &HFF&
    padding(2) = UnsignedToLong(dblBits) \ 65536 And &HFF&
    padding(3) = UnsignedToLong(dblBits) \ 16777216 And &HFF&
    padding(4) = 0
    padding(5) = 0
    padding(6) = 0
    padding(7) = 0
    MD5Update 8, padding
End Sub
Public Sub MD5Update(InputLen As Long, InputBuffer() As Byte)
    Dim II As Integer, I As Integer, J As Integer, K As Integer, lngBufferedBytes As Long, lngBufferRemaining As Long, lngRem As Long

    lngBufferedBytes = ByteCounter Mod 64
    lngBufferRemaining = 64 - lngBufferedBytes
    ByteCounter = ByteCounter + InputLen

    If InputLen >= lngBufferRemaining Then
        For II = 0 To lngBufferRemaining - 1
            ByteBuffer(lngBufferedBytes + II) = InputBuffer(II)
        Next II
        MD5Transform ByteBuffer
        lngRem = (InputLen) Mod 64
        For I = lngBufferRemaining To InputLen - II - lngRem Step 64
            For J = 0 To 63
                ByteBuffer(J) = InputBuffer(I + J)
            Next J
            MD5Transform ByteBuffer
        Next I
        lngBufferedBytes = 0
    Else
      I = 0
    End If
    For K = 0 To InputLen - I - 1
        ByteBuffer(lngBufferedBytes + K) = InputBuffer(I + K)
    Next K
End Sub
Private Sub MD5Transform(Buffer() As Byte)
    Dim X(16) As Long, A As Long, B As Long, C As Long, D As Long
   
    A = State(1)
    B = State(2)
    C = State(3)
    D = State(4)
    Decode 64, X, Buffer
    FF A, B, C, D, X(0), S11, -680876936
    FF D, A, B, C, X(1), S12, -389564586
    FF C, D, A, B, X(2), S13, 606105819
    FF B, C, D, A, X(3), S14, -104330
    FF A, B, C, D, X(4), S11, -176418897
    FF D, A, B, C, X(5), S12, 1200080426
    FF C, D, A, B, X(6), S13, -1473231341
    FF B, C, D, A, X(7), S14, -45705983
    FF A, B, C, D, X(8), S11, 1770035416
    FF D, A, B, C, X(9), S12, -1958414417
    FF C, D, A, B, X(10), S13, -42063
    FF B, C, D, A, X(11), S14, -1990404162
    FF A, B, C, D, X(12), S11, 1804603682
    FF D, A, B, C, X(13), S12, -40341101
    FF C, D, A, B, X(14), S13, -1502002290
    FF B, C, D, A, X(15), S14, 1236535329

    GG A, B, C, D, X(1), S21, -165796510
    GG D, A, B, C, X(6), S22, -1069501632
    GG C, D, A, B, X(11), S23, 643717713
    GG B, C, D, A, X(0), S24, -373897302
    GG A, B, C, D, X(5), S21, -701558691
    GG D, A, B, C, X(10), S22, 38016083
    GG C, D, A, B, X(15), S23, -660478335
    GG B, C, D, A, X(4), S24, -405537848
    GG A, B, C, D, X(9), S21, 568446438
    GG D, A, B, C, X(14), S22, -1019803690
    GG C, D, A, B, X(3), S23, -187363961
    GG B, C, D, A, X(8), S24, 1163531501
    GG A, B, C, D, X(13), S21, -1444681467
    GG D, A, B, C, X(2), S22, -51403784
    GG C, D, A, B, X(7), S23, 1735328473
    GG B, C, D, A, X(12), S24, -1926607734

    HH A, B, C, D, X(5), S31, -378558
    HH D, A, B, C, X(8), S32, -2022574463
    HH C, D, A, B, X(11), S33, 1839030562
    HH B, C, D, A, X(14), S34, -35309556
    HH A, B, C, D, X(1), S31, -1530992060
    HH D, A, B, C, X(4), S32, 1272893353
    HH C, D, A, B, X(7), S33, -155497632
    HH B, C, D, A, X(10), S34, -1094730640
    HH A, B, C, D, X(13), S31, 681279174
    HH D, A, B, C, X(0), S32, -358532
    HH C, D, A, B, X(3), S33, -521979
    HH B, C, D, A, X(6), S34, 76029189
    HH A, B, C, D, X(9), S31, -640364487
    HH D, A, B, C, X(12), S32, -421815835
    HH C, D, A, B, X(15), S33, 530742520
    HH B, C, D, A, X(2), S34, -995338651

    II A, B, C, D, X(0), S41, -198630844
    II D, A, B, C, X(7), S42, 1126891415
    II C, D, A, B, X(14), S43, -1416354905
    II B, C, D, A, X(5), S44, -57434055
    II A, B, C, D, X(12), S41, 1700485571
    II D, A, B, C, X(3), S42, -1894986606
    II C, D, A, B, X(10), S43, -1051523
    II B, C, D, A, X(1), S44, -2054922799
    II A, B, C, D, X(8), S41, 1873313359
    II D, A, B, C, X(15), S42, -30611744
    II C, D, A, B, X(6), S43, -1560198380
    II B, C, D, A, X(13), S44, 1309151649
    II A, B, C, D, X(4), S41, -145523070
    II D, A, B, C, X(11), S42, -1120210379
    II C, D, A, B, X(2), S43, 718787259
    II B, C, D, A, X(9), S44, -343485551

    State(1) = LongOverflowAdd(State(1), A)
    State(2) = LongOverflowAdd(State(2), B)
    State(3) = LongOverflowAdd(State(3), C)
    State(4) = LongOverflowAdd(State(4), D)
End Sub

Private Sub Decode(Length As Integer, OutputBuffer() As Long, InputBuffer() As Byte)
    Dim intDblIndex As Integer, intByteIndex As Integer, dblSum As Double
    For intByteIndex = 0 To Length - 1 Step 4
        dblSum = InputBuffer(intByteIndex) + InputBuffer(intByteIndex + 1) * 256# + InputBuffer(intByteIndex + 2) * 65536# + InputBuffer(intByteIndex + 3) * 16777216#
        OutputBuffer(intDblIndex) = UnsignedToLong(dblSum)
        intDblIndex = intDblIndex + 1
    Next intByteIndex
End Sub
Private Function FF(A As Long, B As Long, C As Long, D As Long, X As Long, S As Long, ac As Long) As Long
    A = LongOverflowAdd4(A, (B And C) Or (Not (B) And D), X, ac)
    A = LongLeftRotate(A, S)
    A = LongOverflowAdd(A, B)
End Function
Private Function GG(A As Long, B As Long, C As Long, D As Long, X As Long, S As Long, ac As Long) As Long
    A = LongOverflowAdd4(A, (B And D) Or (C And Not (D)), X, ac)
    A = LongLeftRotate(A, S)
    A = LongOverflowAdd(A, B)
End Function
Private Function HH(A As Long, B As Long, C As Long, D As Long, X As Long, S As Long, ac As Long) As Long
    A = LongOverflowAdd4(A, B Xor C Xor D, X, ac)
    A = LongLeftRotate(A, S)
    A = LongOverflowAdd(A, B)
End Function
Private Function II(A As Long, B As Long, C As Long, D As Long, X As Long, S As Long, ac As Long) As Long
    A = LongOverflowAdd4(A, C Xor (B Or Not (D)), X, ac)
    A = LongLeftRotate(A, S)
    A = LongOverflowAdd(A, B)
End Function

Function LongLeftRotate(value As Long, Bits As Long) As Long
    Dim lngSign As Long, lngI As Long
    Bits = Bits Mod 32
    If Bits = 0 Then LongLeftRotate = value: Exit Function
    For lngI = 1 To Bits
        lngSign = value And &HC0000000
        value = (value And &H3FFFFFFF) * 2
        value = value Or ((lngSign < 0) And 1) Or (CBool(lngSign And &H40000000) And &H80000000)
    Next
    LongLeftRotate = value
End Function
Private Function LongOverflowAdd(Val1 As Long, Val2 As Long) As Long
    Dim lngHighWord As Long, lngLowWord As Long, lngOverflow As Long
    lngLowWord = (Val1 And &HFFFF&) + (Val2 And &HFFFF&)
    lngOverflow = lngLowWord \ 65536
    lngHighWord = (((Val1 And &HFFFF0000) \ 65536) + ((Val2 And &HFFFF0000) \ 65536) + lngOverflow) And &HFFFF&
    LongOverflowAdd = UnsignedToLong((lngHighWord * 65536#) + (lngLowWord And &HFFFF&))
End Function
Private Function LongOverflowAdd4(Val1 As Long, Val2 As Long, val3 As Long, val4 As Long) As Long
    Dim lngHighWord As Long, lngLowWord As Long, lngOverflow As Long
    lngLowWord = (Val1 And &HFFFF&) + (Val2 And &HFFFF&) + (val3 And &HFFFF&) + (val4 And &HFFFF&)
    lngOverflow = lngLowWord \ 65536
    lngHighWord = (((Val1 And &HFFFF0000) \ 65536) + ((Val2 And &HFFFF0000) \ 65536) + ((val3 And &HFFFF0000) \ 65536) + ((val4 And &HFFFF0000) \ 65536) + lngOverflow) And &HFFFF&
    LongOverflowAdd4 = UnsignedToLong((lngHighWord * 65536#) + (lngLowWord And &HFFFF&))
End Function

Private Function UnsignedToLong(value As Double) As Long
    If value < 0 Or value >= OFFSET_4 Then Error 6
    If value <= MAXINT_4 Then UnsignedToLong = value Else UnsignedToLong = value - OFFSET_4
End Function
Private Function LongToUnsigned(value As Long) As Double
    If value < 0 Then LongToUnsigned = value + OFFSET_4 Else LongToUnsigned = value
End Function

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