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
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
|
<?php
declare(strict_types=1);
/*
* The MIT License (MIT)
*
* Copyright (c) 2014-2018 Spomky-Labs
*
* This software may be modified and distributed under the terms
* of the MIT license. See the LICENSE file for details.
*/
namespace Jose\Component\Signature\Util;
use Jose\Component\Core\Util\BigInteger;
use Jose\Component\Core\Util\Hash;
use Jose\Component\Core\Util\RSAKey;
/**
* @internal
*/
class RSA
{
/**
* Probabilistic Signature Scheme.
*/
public const SIGNATURE_PSS = 1;
/**
* Use the PKCS#1.
*/
public const SIGNATURE_PKCS1 = 2;
private static function convertIntegerToOctetString(BigInteger $x, int $xLen): string
{
$x = $x->toBytes();
if (\mb_strlen($x, '8bit') > $xLen) {
throw new \RuntimeException();
}
return \str_pad($x, $xLen, \chr(0), STR_PAD_LEFT);
}
/**
* MGF1.
*/
private static function getMGF1(string $mgfSeed, int $maskLen, Hash $mgfHash): string
{
$t = '';
$count = \ceil($maskLen / $mgfHash->getLength());
for ($i = 0; $i < $count; ++$i) {
$c = \pack('N', $i);
$t .= $mgfHash->hash($mgfSeed.$c);
}
return \mb_substr($t, 0, $maskLen, '8bit');
}
/**
* EMSA-PSS-ENCODE.
*/
private static function encodeEMSAPSS(string $message, int $modulusLength, Hash $hash): string
{
$emLen = ($modulusLength + 1) >> 3;
$sLen = $hash->getLength();
$mHash = $hash->hash($message);
if ($emLen <= $hash->getLength() + $sLen + 2) {
throw new \RuntimeException();
}
$salt = \random_bytes($sLen);
$m2 = "\0\0\0\0\0\0\0\0".$mHash.$salt;
$h = $hash->hash($m2);
$ps = \str_repeat(\chr(0), $emLen - $sLen - $hash->getLength() - 2);
$db = $ps.\chr(1).$salt;
$dbMask = self::getMGF1($h, $emLen - $hash->getLength() - 1, $hash);
$maskedDB = $db ^ $dbMask;
$maskedDB[0] = ~\chr(0xFF << ($modulusLength & 7)) & $maskedDB[0];
$em = $maskedDB.$h.\chr(0xBC);
return $em;
}
/**
* EMSA-PSS-VERIFY.
*/
private static function verifyEMSAPSS(string $m, string $em, int $emBits, Hash $hash): bool
{
$emLen = ($emBits + 1) >> 3;
$sLen = $hash->getLength();
$mHash = $hash->hash($m);
if ($emLen < $hash->getLength() + $sLen + 2) {
throw new \InvalidArgumentException();
}
if ($em[\mb_strlen($em, '8bit') - 1] !== \chr(0xBC)) {
throw new \InvalidArgumentException();
}
$maskedDB = \mb_substr($em, 0, -$hash->getLength() - 1, '8bit');
$h = \mb_substr($em, -$hash->getLength() - 1, $hash->getLength(), '8bit');
$temp = \chr(0xFF << ($emBits & 7));
if ((~$maskedDB[0] & $temp) !== $temp) {
throw new \InvalidArgumentException();
}
$dbMask = self::getMGF1($h, $emLen - $hash->getLength() - 1, $hash/*MGF*/);
$db = $maskedDB ^ $dbMask;
$db[0] = ~\chr(0xFF << ($emBits & 7)) & $db[0];
$temp = $emLen - $hash->getLength() - $sLen - 2;
if (\mb_substr($db, 0, $temp, '8bit') !== \str_repeat(\chr(0), $temp)) {
throw new \InvalidArgumentException();
}
if (1 !== \ord($db[$temp])) {
throw new \InvalidArgumentException();
}
$salt = \mb_substr($db, $temp + 1, null, '8bit'); // should be $sLen long
$m2 = "\0\0\0\0\0\0\0\0".$mHash.$salt;
$h2 = $hash->hash($m2);
return \hash_equals($h, $h2);
}
private static function encodeEMSA15(string $m, int $emBits, Hash $hash): string
{
$h = $hash->hash($m);
switch ($hash->name()) {
case 'sha256':
$t = "\x30\x31\x30\x0d\x06\x09\x60\x86\x48\x01\x65\x03\x04\x02\x01\x05\x00\x04\x20";
break;
case 'sha384':
$t = "\x30\x41\x30\x0d\x06\x09\x60\x86\x48\x01\x65\x03\x04\x02\x02\x05\x00\x04\x30";
break;
case 'sha512':
$t = "\x30\x51\x30\x0d\x06\x09\x60\x86\x48\x01\x65\x03\x04\x02\x03\x05\x00\x04\x40";
break;
default:
throw new \InvalidArgumentException();
}
$t .= $h;
$tLen = \mb_strlen($t, '8bit');
if ($emBits < $tLen + 11) {
throw new \RuntimeException();
}
$ps = \str_repeat(\chr(0xFF), $emBits - $tLen - 3);
$em2 = "\0\1$ps\0$t";
return $em2;
}
public static function sign(RSAKey $key, string $message, string $hash, int $mode): string
{
switch ($mode) {
case self::SIGNATURE_PSS:
return self::signWithPSS($key, $message, $hash);
case self::SIGNATURE_PKCS1:
return self::signWithPKCS15($key, $message, $hash);
default:
throw new \InvalidArgumentException('Unsupported mode.');
}
}
/**
* Create a signature.
*/
public static function signWithPSS(RSAKey $key, string $message, string $hash): string
{
$em = self::encodeEMSAPSS($message, 8 * $key->getModulusLength() - 1, Hash::$hash());
$message = BigInteger::createFromBinaryString($em);
$signature = RSAKey::exponentiate($key, $message);
return self::convertIntegerToOctetString($signature, $key->getModulusLength());
}
/**
* Create a signature.
*/
public static function signWithPKCS15(RSAKey $key, string $message, string $hash): string
{
$em = self::encodeEMSA15($message, $key->getModulusLength(), Hash::$hash());
$message = BigInteger::createFromBinaryString($em);
$signature = RSAKey::exponentiate($key, $message);
return self::convertIntegerToOctetString($signature, $key->getModulusLength());
}
public static function verify(RSAKey $key, string $message, string $signature, string $hash, int $mode): bool
{
switch ($mode) {
case self::SIGNATURE_PSS:
return self::verifyWithPSS($key, $message, $signature, $hash);
case self::SIGNATURE_PKCS1:
return self::verifyWithPKCS15($key, $message, $signature, $hash);
default:
throw new \InvalidArgumentException('Unsupported mode.');
}
}
/**
* Verifies a signature.
*/
public static function verifyWithPSS(RSAKey $key, string $message, string $signature, string $hash): bool
{
if (\mb_strlen($signature, '8bit') !== $key->getModulusLength()) {
throw new \InvalidArgumentException();
}
$s2 = BigInteger::createFromBinaryString($signature);
$m2 = RSAKey::exponentiate($key, $s2);
$em = self::convertIntegerToOctetString($m2, $key->getModulusLength());
$modBits = 8 * $key->getModulusLength();
return self::verifyEMSAPSS($message, $em, $modBits - 1, Hash::$hash());
}
/**
* Verifies a signature.
*/
public static function verifyWithPKCS15(RSAKey $key, string $message, string $signature, string $hash): bool
{
if (\mb_strlen($signature, '8bit') !== $key->getModulusLength()) {
throw new \InvalidArgumentException();
}
$signature = BigInteger::createFromBinaryString($signature);
$m2 = RSAKey::exponentiate($key, $signature);
$em = self::convertIntegerToOctetString($m2, $key->getModulusLength());
return \hash_equals($em, self::encodeEMSA15($message, $key->getModulusLength(), Hash::$hash()));
}
}
|