Rsa.class.php
5.73 KB
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
<?php
// +----------------------------------------------------------------------
// | ThinkPHP [ WE CAN DO IT JUST THINK IT ]
// +----------------------------------------------------------------------
// | Copyright (c) 2009 http://thinkphp.cn All rights reserved.
// +----------------------------------------------------------------------
// | Licensed ( http://www.apache.org/licenses/LICENSE-2.0 )
// +----------------------------------------------------------------------
// | Author: liu21st <liu21st@gmail.com>
// +----------------------------------------------------------------------
define("BCCOMP_LARGER", 1);
/**
* Rsa 加密实现类
* @category ORG
* @package ORG
* @subpackage Crypt
* @author liu21st <liu21st@gmail.com>
*/
class Rsa {
/**
* 加密字符串
* @access static
* @param string $str 字符串
* @param string $key 加密key
* @return string
*/
public static function encrypt($message, $public_key, $modulus, $keylength) {
$padded = self::add_PKCS1_padding($message, true, $keylength / 8);
$number = self::binary_to_number($padded);
$encrypted = self::pow_mod($number, $public_key, $modulus);
$result = self::number_to_binary($encrypted, $keylength / 8);
return $result;
}
/**
* 解密字符串
* @access static
* @param string $str 字符串
* @param string $key 加密key
* @return string
*/
public static function decrypt($message, $private_key, $modulus, $keylength) {
$number = self::binary_to_number($message);
$decrypted = self::pow_mod($number, $private_key, $modulus);
$result = self::number_to_binary($decrypted, $keylength / 8);
return self::remove_PKCS1_padding($result, $keylength / 8);
}
function sign($message, $private_key, $modulus, $keylength) {
$padded = self::add_PKCS1_padding($message, false, $keylength / 8);
$number = self::binary_to_number($padded);
$signed = self::pow_mod($number, $private_key, $modulus);
$result = self::number_to_binary($signed, $keylength / 8);
return $result;
}
function verify($message, $public_key, $modulus, $keylength) {
return decrypt($message, $public_key, $modulus, $keylength);
}
function pow_mod($p, $q, $r) {
// Extract powers of 2 from $q
$factors = array();
$div = $q;
$power_of_two = 0;
while(bccomp($div, "0") == BCCOMP_LARGER)
{
$rem = bcmod($div, 2);
$div = bcdiv($div, 2);
if($rem) array_push($factors, $power_of_two);
$power_of_two++;
}
// Calculate partial results for each factor, using each partial result as a
// starting point for the next. This depends of the factors of two being
// generated in increasing order.
$partial_results = array();
$part_res = $p;
$idx = 0;
foreach($factors as $factor)
{
while($idx < $factor)
{
$part_res = bcpow($part_res, "2");
$part_res = bcmod($part_res, $r);
$idx++;
}
array_push($partial_results, $part_res);
}
// Calculate final result
$result = "1";
foreach($partial_results as $part_res)
{
$result = bcmul($result, $part_res);
$result = bcmod($result, $r);
}
return $result;
}
//--
// Function to add padding to a decrypted string
// We need to know if this is a private or a public key operation [4]
//--
function add_PKCS1_padding($data, $isPublicKey, $blocksize) {
$pad_length = $blocksize - 3 - strlen($data);
if($isPublicKey)
{
$block_type = "\x02";
$padding = "";
for($i = 0; $i < $pad_length; $i++)
{
$rnd = mt_rand(1, 255);
$padding .= chr($rnd);
}
}
else
{
$block_type = "\x01";
$padding = str_repeat("\xFF", $pad_length);
}
return "\x00" . $block_type . $padding . "\x00" . $data;
}
//--
// Remove padding from a decrypted string
// See [4] for more details.
//--
function remove_PKCS1_padding($data, $blocksize) {
assert(strlen($data) == $blocksize);
$data = substr($data, 1);
// We cannot deal with block type 0
if($data{0} == '\0')
die("Block type 0 not implemented.");
// Then the block type must be 1 or 2
assert(($data{0} == "\x01") || ($data{0} == "\x02"));
// Remove the padding
$offset = strpos($data, "\0", 1);
return substr($data, $offset + 1);
}
//--
// Convert binary data to a decimal number
//--
function binary_to_number($data) {
$base = "256";
$radix = "1";
$result = "0";
for($i = strlen($data) - 1; $i >= 0; $i--)
{
$digit = ord($data{$i});
$part_res = bcmul($digit, $radix);
$result = bcadd($result, $part_res);
$radix = bcmul($radix, $base);
}
return $result;
}
//--
// Convert a number back into binary form
//--
function number_to_binary($number, $blocksize) {
$base = "256";
$result = "";
$div = $number;
while($div > 0)
{
$mod = bcmod($div, $base);
$div = bcdiv($div, $base);
$result = chr($mod) . $result;
}
return str_pad($result, $blocksize, "\x00", STR_PAD_LEFT);
}
}