BASE_58 编解码原理及代码实现

初次听到 base58 编解码很是不解, 已经存在了 base64 编解码, 为什么还要出现 base58 呢, 因此各处搜集资料, 了解原理, 用途, 终于把它搞定, Mark下, 免得今后忘记找不到了.

1. base 58 编码由来

1. base_58 是用于 Bitcoin 中使用的一种独特的编码方式,主要用于产生Bitcoin的钱包地址
2. 相比 base_64,base_58 不使用数字 "0",字母大写"O",字母大写 "I",和字母小写 "l",以及 "+" 和 "/" 符号

2. base 58 编码表

BASE_58 编解码原理及代码实现_第1张图片

3. base 58 编码实现

//编码表
static const char b58digits_ordered[] = "123456789ABCDEFGHJKLMNPQRSTUVWXYZabcdefghijkmnopqrstuvwxyz";

bool b58enc(char *b58, size_t *b58sz, const void *data, size_t binsz)
{
	const uint8_t *bin = data;
	int carry;
	ssize_t i, j, high, zcount = 0;
	uint8_t buf[12 * 1024] = {0};
	size_t size;

	//计算待编码数据前面 0 的个数 
	while (zcount < (ssize_t)binsz && !bin[zcount])
		++zcount;

	//计算存放转换数据所需要的数组的大小    138/100 --> log(256)/log(58)
	size = (binsz - zcount) * 138 / 100 + 1;
	memset(buf, 0, size);
	
	//遍历待转换数据
	for (i = zcount, high = size - 1; i < (ssize_t)binsz; ++i, high = j)
	{
		//将数据从后往前依次存放
		for (carry = bin[i], j = size - 1; (j > high) || carry; --j)
		{
			carry += 256 * buf[j];
			buf[j] = carry % 58;
			carry /= 58;
		}
	}

	for (j = 0; j < (ssize_t)size && !buf[j]; ++j);

	if (*b58sz <= zcount + size - j)
	{
		*b58sz = zcount + size - j + 1;
		return false;
	}

	if (zcount)
		memset(b58, '1', zcount);
	for (i = zcount; j < (ssize_t)size; ++i, ++j)
		b58[i] = b58digits_ordered[buf[j]];
	b58[i] = '\0';
	*b58sz = i + 1;

	return true;
}

4. base 58 解码实现

static const int8_t b58digits_map[] = {
	-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,
	-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,
	-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,
	-1, 0, 1, 2, 3, 4, 5, 6, 7, 8,-1,-1,-1,-1,-1,-1,
	-1, 9,10,11,12,13,14,15,16,-1,17,18,19,20,21,-1,
	22,23,24,25,26,27,28,29,30,31,32,-1,-1,-1,-1,-1,
	-1,33,34,35,36,37,38,39,40,41,42,43,-1,44,45,46,
	47,48,49,50,51,52,53,54,55,56,57,-1,-1,-1,-1,-1,
};

bool b58dec(void *bin, size_t *binszp, const char *b58)
{
	size_t binsz = *binszp;
	const unsigned char *b58u = (const unsigned char*)b58;
	unsigned char *binu = bin;

	uint32_t outi[12 * 1024] = {0};
	size_t outisz = (binsz + 3) / 4;

	uint64_t t;
	uint32_t c;
	size_t i, j;
	uint8_t bytesleft = binsz % 4;
	uint32_t zeromask = bytesleft ? (0xffffffff << (bytesleft * 8)) : 0;
	unsigned zerocount = 0;
	size_t b58sz;

	b58sz = strlen(b58);

	memset(outi, 0, outisz * sizeof(*outi));

	// Leading zeros, just count
	for (i = 0; i < b58sz && b58u[i] == '1'; ++i)
		++zerocount;

	for (; i < b58sz; ++i)
	{
		if (b58u[i] & 0x80)
			// High-bit set on invalid digit
			return false;
		if (b58digits_map[b58u[i]] == -1)
			// Invalid base58 digit
			return false;
		c = (unsigned)b58digits_map[b58u[i]];
		for (j = outisz; j--; )
		{
			t = ((uint64_t)outi[j]) * 58 + c;
			c = (t & 0x3f00000000) >> 32;
			outi[j] = t & 0xffffffff;
		}
		if (c)
			// Output number too big (carry to the next int32)
			return false;
		if (outi[0] & zeromask)
			// Output number too big (last int32 filled too far)
			return false;
	}

	j = 0;
	switch (bytesleft) {
	case 3:
		*(binu++) = (outi[0] & 0xff0000) >> 16;
		//-fallthrough
	case 2:
		*(binu++) = (outi[0] & 0xff00) >> 8;
		//-fallthrough
	case 1:
		*(binu++) = (outi[0] & 0xff);
		++j;
		//-fallthrough
	default:
		break;
	}

	for (; j < outisz; ++j)
	{
		*(binu++) = (outi[j] >> 0x18) & 0xff;
		*(binu++) = (outi[j] >> 0x10) & 0xff;
		*(binu++) = (outi[j] >> 8) & 0xff;
		*(binu++) = (outi[j] >> 0) & 0xff;
	}

	// Count canonical base58 byte count
	binu = bin;
	for (i = 0; i < binsz; ++i)
	{
		if (binu[i]) {
			if (zerocount > i) {
				/* result too large */
				return false;
			}
			break;
		}
		--*binszp;
	}
	*binszp += zerocount;

	return true;
}

4. base 58 编码示例

4.1 示例编码

//示例代码片段
void OnBnClickedButtonBase58Encode()
{
	CString strData, strTemp, strDisp;
	BOOL retCode;
	BYTE convertBuf[12 * 1024] = { 0 };
	UINT convertBufLen = 0;

	//清空显示区内容
	m_re_result.SetWindowTextA(_T(""));

	//获取要编码的数据
	GetDlgItemText(IDC_EDIT_DATA, strData);

	if (strData.GetLength() == 0) {
		AfxMessageBox(_T("Please input encode data, Then try again"));
		return;
	}

	if (strData.GetLength() % 2 != 0) {
		AfxMessageBox(_T("decode data length is must be multiple of 2-Character, Try again after check "));
		return;
	}
	
	//数据转换
	retCode = CstringToByte(strData, g_DataBuf);

	if (retCode == FALSE) {
		AfxMessageBox(_T("Convert CString to Byte Failed, Try again after check "));
		return;
	}


	ShowMessageString(_T("*********** Start Encoding ***********"), COLOR_BLUE);

	convertBufLen = strData.GetLength();
	g_DataBufLen = strData.GetLength() / 2;

	retCode = b58enc((char *)convertBuf, (size_t *)&convertBufLen, g_DataBuf, (size_t)g_DataBufLen);

	if (retCode) {
		
		//显示函数, 用于显示结果
		ShowMessageString((char *)convertBuf, COLOR_BLACK);
		ShowMessageString(_T("*********** End  Encoding ***********"), COLOR_BLUE);
		ShowMessageString(_T("编码成功"), COLOR_BLACK);
	}
	else {
		ShowMessageString(_T("编码失败"), COLOR_RED);
	}
}

4.2 示例效果

BASE_58 编解码原理及代码实现_第2张图片

5. base 58 解码示例

5.1 示例解码

//示例代码片段
void OnBnClickedButtonBase58Decode()
{
	CString strData, strTemp, strDisp;
	BOOL retCode;
	BYTE convertBuf[12 * 1024] = { 0 };
	UINT convertBufLen = 0;

	//清空显示区内容
	m_re_result.SetWindowTextA(_T(""));

	//获取要编码的数据
	GetDlgItemText(IDC_EDIT_DATA, strData);

	if (strData.GetLength() == 0) {
		AfxMessageBox(_T("Please input decode data, Then try again"));
		return;
	}

	ShowMessageString(_T("*********** Start Decoding ***********"), COLOR_BLUE);

	//类型转换
	strcpy((char *)g_DataBuf, strData);
	
	retCode = b58dec((char *)convertBuf, (size_t *)&g_DataBufLen, (char *)g_DataBuf);

	if (retCode) {
		//转换数据, 用于显示
		for (int i = 0; i < g_DataBufLen; i++) {
			strTemp.Format("%02x", convertBuf[i]);
			strDisp += strTemp;
		}
		
		//显示函数, 用于显示结果
		ShowMessageString(strDisp, COLOR_BLACK);
		ShowMessageString(_T("*********** End  Decoding ***********"), COLOR_BLUE);
		ShowMessageString(_T("解码成功"), COLOR_BLACK);
	}
	else {
		ShowMessageString(_T("解码失败"), COLOR_RED);
	}
}

5.2 示例效果

BASE_58 编解码原理及代码实现_第3张图片

6. base 58 与 base 64 异同

相同:
	1. 一般都用于URL, 邮件文本, 可见字符显示. 
	2. 都会造成信息冗余, 数据量增大, 因此不会用于大数据传输编码.
区别:
	1. 编码集不同, base 58 的编码集在 base 64 的字符集的基础上去掉了比较容易混淆的字符.
	2. base 64 采用直接切割 bit 的方法(8->6), 而 base 58 采用大数进制转换, 效率更低, 使用场景更少.
Note: base 58 解码时需要将长度传入, 这点与 base 64 有区别, 在代码实现时应注意.

示例 Demo 的源码有以下 3 个路径可以获取:
1. 评论区留下邮箱地址, 我看到后第一时间发送源码.
2. CSDN [https://download.csdn.net/download/u013517122/10768735]
3. github [[email protected]:Huihh/DE_MSG.git]

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