From 04369c3eae728e14962c41d1ab259f9e7ed99144 Mon Sep 17 00:00:00 2001
From: Michael Hamann <michael@content-space.de>
Date: Tue, 30 Jul 2013 18:50:28 +0200
Subject: [PATCH] Add AES from phpseclib and use it for cookie encryption
This replaces the deprecated and broken Blowfish implementation that has
previously been used and should provide a lot more security.
---
_test/tests/inc/auth_encryption.test.php | 12 +
inc/auth.php | 40 +-
inc/load.php | 4 +
inc/phpseclib/Crypt_AES.php | 188 ++
inc/phpseclib/Crypt_Base.php | 1989 ++++++++++++
inc/phpseclib/Crypt_Hash.php | 823 +++++
inc/phpseclib/Crypt_Rijndael.php | 1374 ++++++++
inc/phpseclib/LICENSE | 21 +
inc/phpseclib/Math_BigInteger.php | 3651 ++++++++++++++++++++++
inc/phpseclib/update.sh | 8 +
10 files changed, 8107 insertions(+), 3 deletions(-)
create mode 100644 _test/tests/inc/auth_encryption.test.php
create mode 100644 inc/phpseclib/Crypt_AES.php
create mode 100644 inc/phpseclib/Crypt_Base.php
create mode 100644 inc/phpseclib/Crypt_Hash.php
create mode 100644 inc/phpseclib/Crypt_Rijndael.php
create mode 100644 inc/phpseclib/LICENSE
create mode 100644 inc/phpseclib/Math_BigInteger.php
create mode 100755 inc/phpseclib/update.sh
diff --git a/_test/tests/inc/auth_encryption.test.php b/_test/tests/inc/auth_encryption.test.php
new file mode 100644
index 000000000..041eba00e
--- /dev/null
+++ b/_test/tests/inc/auth_encryption.test.php
@@ -0,0 +1,12 @@
+<?php
+
+/**
+ * Tests the auth_decrypt and auth_encrypt-functions
+ */
+class auth_encryption_test extends DokuWikiTest {
+ function testDeEncrypt() {
+ $data = "OnA28asdfäakgß*+!\"+*";
+ $secret = "oeaf1öasdöflk§";
+ $this->assertEquals($data, auth_decrypt(auth_encrypt($data, $secret), $secret));
+ }
+}
diff --git a/inc/auth.php b/inc/auth.php
index a1da971ae..f02bfebca 100644
--- a/inc/auth.php
+++ b/inc/auth.php
@@ -220,7 +220,7 @@ function auth_login($user, $pass, $sticky = false, $silent = false) {
// make logininfo globally available
$_SERVER['REMOTE_USER'] = $user;
$secret = auth_cookiesalt(!$sticky, true); //bind non-sticky to session
- auth_setCookie($user, PMA_blowfish_encrypt($pass, $secret), $sticky);
+ auth_setCookie($user, auth_encrypt($pass, $secret), $sticky);
return true;
} else {
//invalid credentials - log off
@@ -251,7 +251,7 @@ function auth_login($user, $pass, $sticky = false, $silent = false) {
}
// no we don't trust it yet - recheck pass but silent
$secret = auth_cookiesalt(!$sticky, true); //bind non-sticky to session
- $pass = PMA_blowfish_decrypt($pass, $secret);
+ $pass = auth_decrypt($pass, $secret);
return auth_login($user, $pass, $sticky, true);
}
}
@@ -449,6 +449,40 @@ function auth_random($min, $max) {
return $min + $integer;
}
+/**
+ * Encrypt data using the given secret using AES
+ *
+ * The mode is CBC with a random initialization vector, the key is derived
+ * using pbkdf2.
+ *
+ * @param string $data The data that shall be encrypted
+ * @param string $secret The secret/password that shall be used
+ * @return string The ciphertext
+ */
+function auth_encrypt($data, $secret) {
+ $iv = auth_randombytes(16);
+ $cipher = new Crypt_AES();
+ $cipher->setPassword($secret);
+
+ return $cipher->encrypt($iv.$data);
+}
+
+/**
+ * Decrypt the given AES ciphertext
+ *
+ * The mode is CBC, the key is derived using pbkdf2
+ *
+ * @param string $ciphertext The encrypted data
+ * @param string $secret The secret/password that shall be used
+ * @return string The decrypted data
+ */
+function auth_decrypt($ciphertext, $secret) {
+ $cipher = new Crypt_AES();
+ $cipher->setPassword($secret);
+
+ return substr($cipher->decrypt($ciphertext), 16);
+}
+
/**
* Log out the current user
*
@@ -992,7 +1026,7 @@ function updateprofile() {
// update cookie and session with the changed data
if($changes['pass']) {
list( /*user*/, $sticky, /*pass*/) = auth_getCookie();
- $pass = PMA_blowfish_encrypt($changes['pass'], auth_cookiesalt(!$sticky, true));
+ $pass = auth_encrypt($changes['pass'], auth_cookiesalt(!$sticky, true));
auth_setCookie($_SERVER['REMOTE_USER'], $pass, (bool) $sticky);
}
return true;
diff --git a/inc/load.php b/inc/load.php
index 5ca9b4cd8..7fb328215 100644
--- a/inc/load.php
+++ b/inc/load.php
@@ -82,6 +82,10 @@ function load_autoload($name){
'RemoteAPI' => DOKU_INC.'inc/remote.php',
'RemoteAPICore' => DOKU_INC.'inc/RemoteAPICore.php',
'Subscription' => DOKU_INC.'inc/subscription.php',
+ 'Crypt_Base' => DOKU_INC.'inc/phpseclib/Crypt_Base.php',
+ 'Crypt_Rijndael' => DOKU_INC.'inc/phpseclib/Crypt_Rijndael.php',
+ 'Crypt_AES' => DOKU_INC.'inc/phpseclib/Crypt_AES.php',
+ 'Crypt_Hash' => DOKU_INC.'inc/phpseclib/Crypt_Hash.php',
'DokuWiki_Action_Plugin' => DOKU_PLUGIN.'action.php',
'DokuWiki_Admin_Plugin' => DOKU_PLUGIN.'admin.php',
diff --git a/inc/phpseclib/Crypt_AES.php b/inc/phpseclib/Crypt_AES.php
new file mode 100644
index 000000000..81fa2feab
--- /dev/null
+++ b/inc/phpseclib/Crypt_AES.php
@@ -0,0 +1,188 @@
+<?php
+/* vim: set expandtab tabstop=4 shiftwidth=4 softtabstop=4: */
+
+/**
+ * Pure-PHP implementation of AES.
+ *
+ * Uses mcrypt, if available/possible, and an internal implementation, otherwise.
+ *
+ * PHP versions 4 and 5
+ *
+ * If {@link Crypt_AES::setKeyLength() setKeyLength()} isn't called, it'll be calculated from
+ * {@link Crypt_AES::setKey() setKey()}. ie. if the key is 128-bits, the key length will be 128-bits. If it's 136-bits
+ * it'll be null-padded to 192-bits and 192 bits will be the key length until {@link Crypt_AES::setKey() setKey()}
+ * is called, again, at which point, it'll be recalculated.
+ *
+ * Since Crypt_AES extends Crypt_Rijndael, some functions are available to be called that, in the context of AES, don't
+ * make a whole lot of sense. {@link Crypt_AES::setBlockLength() setBlockLength()}, for instance. Calling that function,
+ * however possible, won't do anything (AES has a fixed block length whereas Rijndael has a variable one).
+ *
+ * Here's a short example of how to use this library:
+ * <code>
+ * <?php
+ * include('Crypt/AES.php');
+ *
+ * $aes = new Crypt_AES();
+ *
+ * $aes->setKey('abcdefghijklmnop');
+ *
+ * $size = 10 * 1024;
+ * $plaintext = '';
+ * for ($i = 0; $i < $size; $i++) {
+ * $plaintext.= 'a';
+ * }
+ *
+ * echo $aes->decrypt($aes->encrypt($plaintext));
+ * ?>
+ * </code>
+ *
+ * LICENSE: Permission is hereby granted, free of charge, to any person obtaining a copy
+ * of this software and associated documentation files (the "Software"), to deal
+ * in the Software without restriction, including without limitation the rights
+ * to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
+ * copies of the Software, and to permit persons to whom the Software is
+ * furnished to do so, subject to the following conditions:
+ *
+ * The above copyright notice and this permission notice shall be included in
+ * all copies or substantial portions of the Software.
+ *
+ * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
+ * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
+ * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
+ * AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
+ * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
+ * OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
+ * THE SOFTWARE.
+ *
+ * @category Crypt
+ * @package Crypt_AES
+ * @author Jim Wigginton <terrafrost@php.net>
+ * @copyright MMVIII Jim Wigginton
+ * @license http://www.opensource.org/licenses/mit-license.html MIT License
+ * @link http://phpseclib.sourceforge.net
+ */
+
+/**
+ * Include Crypt_Rijndael
+ */
+if (!class_exists('Crypt_Rijndael')) {
+ require_once('Rijndael.php');
+}
+
+/**#@+
+ * @access public
+ * @see Crypt_AES::encrypt()
+ * @see Crypt_AES::decrypt()
+ */
+/**
+ * Encrypt / decrypt using the Counter mode.
+ *
+ * Set to -1 since that's what Crypt/Random.php uses to index the CTR mode.
+ *
+ * @link http://en.wikipedia.org/wiki/Block_cipher_modes_of_operation#Counter_.28CTR.29
+ */
+define('CRYPT_AES_MODE_CTR', CRYPT_MODE_CTR);
+/**
+ * Encrypt / decrypt using the Electronic Code Book mode.
+ *
+ * @link http://en.wikipedia.org/wiki/Block_cipher_modes_of_operation#Electronic_codebook_.28ECB.29
+ */
+define('CRYPT_AES_MODE_ECB', CRYPT_MODE_ECB);
+/**
+ * Encrypt / decrypt using the Code Book Chaining mode.
+ *
+ * @link http://en.wikipedia.org/wiki/Block_cipher_modes_of_operation#Cipher-block_chaining_.28CBC.29
+ */
+define('CRYPT_AES_MODE_CBC', CRYPT_MODE_CBC);
+/**
+ * Encrypt / decrypt using the Cipher Feedback mode.
+ *
+ * @link http://en.wikipedia.org/wiki/Block_cipher_modes_of_operation#Cipher_feedback_.28CFB.29
+ */
+define('CRYPT_AES_MODE_CFB', CRYPT_MODE_CFB);
+/**
+ * Encrypt / decrypt using the Cipher Feedback mode.
+ *
+ * @link http://en.wikipedia.org/wiki/Block_cipher_modes_of_operation#Output_feedback_.28OFB.29
+ */
+define('CRYPT_AES_MODE_OFB', CRYPT_MODE_OFB);
+/**#@-*/
+
+/**#@+
+ * @access private
+ * @see Crypt_AES::Crypt_AES()
+ */
+/**
+ * Toggles the internal implementation
+ */
+define('CRYPT_AES_MODE_INTERNAL', CRYPT_MODE_INTERNAL);
+/**
+ * Toggles the mcrypt implementation
+ */
+define('CRYPT_AES_MODE_MCRYPT', CRYPT_MODE_MCRYPT);
+/**#@-*/
+
+/**
+ * Pure-PHP implementation of AES.
+ *
+ * @author Jim Wigginton <terrafrost@php.net>
+ * @version 0.1.0
+ * @access public
+ * @package Crypt_AES
+ */
+class Crypt_AES extends Crypt_Rijndael {
+ /**
+ * The namespace used by the cipher for its constants.
+ *
+ * @see Crypt_Base::const_namespace
+ * @var String
+ * @access private
+ */
+ var $const_namespace = 'AES';
+
+ /**
+ * Default Constructor.
+ *
+ * Determines whether or not the mcrypt extension should be used.
+ *
+ * $mode could be:
+ *
+ * - CRYPT_AES_MODE_ECB
+ *
+ * - CRYPT_AES_MODE_CBC
+ *
+ * - CRYPT_AES_MODE_CTR
+ *
+ * - CRYPT_AES_MODE_CFB
+ *
+ * - CRYPT_AES_MODE_OFB
+ *
+ * If not explictly set, CRYPT_AES_MODE_CBC will be used.
+ *
+ * @see Crypt_Rijndael::Crypt_Rijndael()
+ * @see Crypt_Base::Crypt_Base()
+ * @param optional Integer $mode
+ * @access public
+ */
+ function Crypt_AES($mode = CRYPT_AES_MODE_CBC)
+ {
+ parent::Crypt_Rijndael($mode);
+ }
+
+ /**
+ * Dummy function
+ *
+ * Since Crypt_AES extends Crypt_Rijndael, this function is, technically, available, but it doesn't do anything.
+ *
+ * @see Crypt_Rijndael::setBlockLength()
+ * @access public
+ * @param Integer $length
+ */
+ function setBlockLength($length)
+ {
+ return;
+ }
+}
+
+// vim: ts=4:sw=4:et:
+// vim6: fdl=1:
diff --git a/inc/phpseclib/Crypt_Base.php b/inc/phpseclib/Crypt_Base.php
new file mode 100644
index 000000000..7c650ca72
--- /dev/null
+++ b/inc/phpseclib/Crypt_Base.php
@@ -0,0 +1,1989 @@
+<?php
+/* vim: set expandtab tabstop=4 shiftwidth=4 softtabstop=4: */
+
+/**
+ * Base Class for all Crypt_* cipher classes
+ *
+ * PHP versions 4 and 5
+ *
+ * Internally for phpseclib developers:
+ * If you plan to add a new cipher class, please note following rules:
+ *
+ * - The new Crypt_* cipher class should extend Crypt_Base
+ *
+ * - Following methods are then required to be overridden/overloaded:
+ *
+ * - _encryptBlock()
+ *
+ * - _decryptBlock()
+ *
+ * - _setupKey()
+ *
+ * - All other methods are optional to be overridden/overloaded
+ *
+ * - Look at the source code of the current ciphers how they extend Crypt_Base
+ * and take one of them as a start up for the new cipher class.
+ *
+ * - Please read all the other comments/notes/hints here also for each class var/method
+ *
+ * LICENSE: Permission is hereby granted, free of charge, to any person obtaining a copy
+ * of this software and associated documentation files (the "Software"), to deal
+ * in the Software without restriction, including without limitation the rights
+ * to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
+ * copies of the Software, and to permit persons to whom the Software is
+ * furnished to do so, subject to the following conditions:
+ *
+ * The above copyright notice and this permission notice shall be included in
+ * all copies or substantial portions of the Software.
+ *
+ * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
+ * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
+ * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
+ * AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
+ * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
+ * OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
+ * THE SOFTWARE.
+ *
+ * @category Crypt
+ * @package Crypt_Base
+ * @author Jim Wigginton <terrafrost@php.net>
+ * @author Hans-Juergen Petrich <petrich@tronic-media.com>
+ * @copyright MMVII Jim Wigginton
+ * @license http://www.opensource.org/licenses/mit-license.html MIT License
+ * @version 1.0.1
+ * @link http://phpseclib.sourceforge.net
+ */
+
+/**#@+
+ * @access public
+ * @see Crypt_Base::encrypt()
+ * @see Crypt_Base::decrypt()
+ */
+/**
+ * Encrypt / decrypt using the Counter mode.
+ *
+ * Set to -1 since that's what Crypt/Random.php uses to index the CTR mode.
+ *
+ * @link http://en.wikipedia.org/wiki/Block_cipher_modes_of_operation#Counter_.28CTR.29
+ */
+define('CRYPT_MODE_CTR', -1);
+/**
+ * Encrypt / decrypt using the Electronic Code Book mode.
+ *
+ * @link http://en.wikipedia.org/wiki/Block_cipher_modes_of_operation#Electronic_codebook_.28ECB.29
+ */
+define('CRYPT_MODE_ECB', 1);
+/**
+ * Encrypt / decrypt using the Code Book Chaining mode.
+ *
+ * @link http://en.wikipedia.org/wiki/Block_cipher_modes_of_operation#Cipher-block_chaining_.28CBC.29
+ */
+define('CRYPT_MODE_CBC', 2);
+/**
+ * Encrypt / decrypt using the Cipher Feedback mode.
+ *
+ * @link http://en.wikipedia.org/wiki/Block_cipher_modes_of_operation#Cipher_feedback_.28CFB.29
+ */
+define('CRYPT_MODE_CFB', 3);
+/**
+ * Encrypt / decrypt using the Output Feedback mode.
+ *
+ * @link http://en.wikipedia.org/wiki/Block_cipher_modes_of_operation#Output_feedback_.28OFB.29
+ */
+define('CRYPT_MODE_OFB', 4);
+/**
+ * Encrypt / decrypt using streaming mode.
+ *
+ */
+define('CRYPT_MODE_STREAM', 5);
+/**#@-*/
+
+/**#@+
+ * @access private
+ * @see Crypt_Base::Crypt_Base()
+ */
+/**
+ * Base value for the internal implementation $engine switch
+ */
+define('CRYPT_MODE_INTERNAL', 1);
+/**
+ * Base value for the mcrypt implementation $engine switch
+ */
+define('CRYPT_MODE_MCRYPT', 2);
+/**#@-*/
+
+/**
+ * Base Class for all Crypt_* cipher classes
+ *
+ * @author Jim Wigginton <terrafrost@php.net>
+ * @author Hans-Juergen Petrich <petrich@tronic-media.com>
+ * @version 1.0.0
+ * @access public
+ * @package Crypt_Base
+ */
+class Crypt_Base {
+ /**
+ * The Encryption Mode
+ *
+ * @see Crypt_Base::Crypt_Base()
+ * @var Integer
+ * @access private
+ */
+ var $mode;
+
+ /**
+ * The Block Length of the block cipher
+ *
+ * @var Integer
+ * @access private
+ */
+ var $block_size = 16;
+
+ /**
+ * The Key
+ *
+ * @see Crypt_Base::setKey()
+ * @var String
+ * @access private
+ */
+ var $key = "\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0";
+
+ /**
+ * The Initialization Vector
+ *
+ * @see Crypt_Base::setIV()
+ * @var String
+ * @access private
+ */
+ var $iv;
+
+ /**
+ * A "sliding" Initialization Vector
+ *
+ * @see Crypt_Base::enableContinuousBuffer()
+ * @see Crypt_Base::_clearBuffers()
+ * @var String
+ * @access private
+ */
+ var $encryptIV;
+
+ /**
+ * A "sliding" Initialization Vector
+ *
+ * @see Crypt_Base::enableContinuousBuffer()
+ * @see Crypt_Base::_clearBuffers()
+ * @var String
+ * @access private
+ */
+ var $decryptIV;
+
+ /**
+ * Continuous Buffer status
+ *
+ * @see Crypt_Base::enableContinuousBuffer()
+ * @var Boolean
+ * @access private
+ */
+ var $continuousBuffer = false;
+
+ /**
+ * Encryption buffer for CTR, OFB and CFB modes
+ *
+ * @see Crypt_Base::encrypt()
+ * @see Crypt_Base::_clearBuffers()
+ * @var Array
+ * @access private
+ */
+ var $enbuffer;
+
+ /**
+ * Decryption buffer for CTR, OFB and CFB modes
+ *
+ * @see Crypt_Base::decrypt()
+ * @see Crypt_Base::_clearBuffers()
+ * @var Array
+ * @access private
+ */
+ var $debuffer;
+
+ /**
+ * mcrypt resource for encryption
+ *
+ * The mcrypt resource can be recreated every time something needs to be created or it can be created just once.
+ * Since mcrypt operates in continuous mode, by default, it'll need to be recreated when in non-continuous mode.
+ *
+ * @see Crypt_Base::encrypt()
+ * @var Resource
+ * @access private
+ */
+ var $enmcrypt;
+
+ /**
+ * mcrypt resource for decryption
+ *
+ * The mcrypt resource can be recreated every time something needs to be created or it can be created just once.
+ * Since mcrypt operates in continuous mode, by default, it'll need to be recreated when in non-continuous mode.
+ *
+ * @see Crypt_Base::decrypt()
+ * @var Resource
+ * @access private
+ */
+ var $demcrypt;
+
+ /**
+ * Does the enmcrypt resource need to be (re)initialized?
+ *
+ * @see Crypt_Twofish::setKey()
+ * @see Crypt_Twofish::setIV()
+ * @var Boolean
+ * @access private
+ */
+ var $enchanged = true;
+
+ /**
+ * Does the demcrypt resource need to be (re)initialized?
+ *
+ * @see Crypt_Twofish::setKey()
+ * @see Crypt_Twofish::setIV()
+ * @var Boolean
+ * @access private
+ */
+ var $dechanged = true;
+
+ /**
+ * mcrypt resource for CFB mode
+ *
+ * mcrypt's CFB mode, in (and only in) buffered context,
+ * is broken, so phpseclib implements the CFB mode by it self,
+ * even when the mcrypt php extension is available.
+ *
+ * In order to do the CFB-mode work (fast) phpseclib
+ * use a separate ECB-mode mcrypt resource.
+ *
+ * @link http://phpseclib.sourceforge.net/cfb-demo.phps
+ * @see Crypt_Base::encrypt()
+ * @see Crypt_Base::decrypt()
+ * @see Crypt_Base::_setupMcrypt()
+ * @var Resource
+ * @access private
+ */
+ var $ecb;
+
+ /**
+ * Optimizing value while CFB-encrypting
+ *
+ * Only relevant if $continuousBuffer enabled
+ * and $engine == CRYPT_MODE_MCRYPT
+ *
+ * It's faster to re-init $enmcrypt if
+ * $buffer bytes > $cfb_init_len than
+ * using the $ecb resource furthermore.
+ *
+ * This value depends of the choosen cipher
+ * and the time it would be needed for it's
+ * initialization [by mcrypt_generic_init()]
+ * which, typically, depends on the complexity
+ * on its internaly Key-expanding algorithm.
+ *
+ * @see Crypt_Base::encrypt()
+ * @var Integer
+ * @access private
+ */
+ var $cfb_init_len = 600;
+
+ /**
+ * Does internal cipher state need to be (re)initialized?
+ *
+ * @see setKey()
+ * @see setIV()
+ * @see disableContinuousBuffer()
+ * @var Boolean
+ * @access private
+ */
+ var $changed = true;
+
+ /**
+ * Padding status
+ *
+ * @see Crypt_Base::enablePadding()
+ * @var Boolean
+ * @access private
+ */
+ var $padding = true;
+
+ /**
+ * Is the mode one that is paddable?
+ *
+ * @see Crypt_Base::Crypt_Base()
+ * @var Boolean
+ * @access private
+ */
+ var $paddable = false;
+
+ /**
+ * Holds which crypt engine internaly should be use,
+ * which will be determined automatically on __construct()
+ *
+ * Currently available $engines are:
+ * - CRYPT_MODE_MCRYPT (fast, php-extension: mcrypt, extension_loaded('mcrypt') required)
+ * - CRYPT_MODE_INTERNAL (slower, pure php-engine, no php-extension required)
+ *
+ * In the pipeline... maybe. But currently not available:
+ * - CRYPT_MODE_OPENSSL (very fast, php-extension: openssl, extension_loaded('openssl') required)
+ *
+ * If possible, CRYPT_MODE_MCRYPT will be used for each cipher.
+ * Otherwise CRYPT_MODE_INTERNAL
+ *
+ * @see Crypt_Base::encrypt()
+ * @see Crypt_Base::decrypt()
+ * @var Integer
+ * @access private
+ */
+ var $engine;
+
+ /**
+ * The mcrypt specific name of the cipher
+ *
+ * Only used if $engine == CRYPT_MODE_MCRYPT
+ *
+ * @link http://www.php.net/mcrypt_module_open
+ * @link http://www.php.net/mcrypt_list_algorithms
+ * @see Crypt_Base::_setupMcrypt()
+ * @var String
+ * @access private
+ */
+ var $cipher_name_mcrypt;
+
+ /**
+ * The default password key_size used by setPassword()
+ *
+ * @see Crypt_Base::setPassword()
+ * @var Integer
+ * @access private
+ */
+ var $password_key_size = 32;
+
+ /**
+ * The default salt used by setPassword()
+ *
+ * @see Crypt_Base::setPassword()
+ * @var String
+ * @access private
+ */
+ var $password_default_salt = 'phpseclib/salt';
+
+ /**
+ * The namespace used by the cipher for its constants.
+ *
+ * ie: AES.php is using CRYPT_AES_MODE_* for its constants
+ * so $const_namespace is AES
+ *
+ * DES.php is using CRYPT_DES_MODE_* for its constants
+ * so $const_namespace is DES... and so on
+ *
+ * All CRYPT_<$const_namespace>_MODE_* are aliases of
+ * the generic CRYPT_MODE_* constants, so both could be used
+ * for each cipher.
+ *
+ * Example:
+ * $aes = new Crypt_AES(CRYPT_AES_MODE_CFB); // $aes will operate in cfb mode
+ * $aes = new Crypt_AES(CRYPT_MODE_CFB); // identical
+ *
+ * @see Crypt_Base::Crypt_Base()
+ * @var String
+ * @access private
+ */
+ var $const_namespace;
+
+ /**
+ * The name of the performance-optimized callback function
+ *
+ * Used by encrypt() / decrypt()
+ * only if $engine == CRYPT_MODE_INTERNAL
+ *
+ * @see Crypt_Base::encrypt()
+ * @see Crypt_Base::decrypt()
+ * @see Crypt_Base::_setupInlineCrypt()
+ * @see Crypt_Base::$use_inline_crypt
+ * @var Callback
+ * @access private
+ */
+ var $inline_crypt;
+
+ /**
+ * Holds whether performance-optimized $inline_crypt() can/should be used.
+ *
+ * @see Crypt_Base::encrypt()
+ * @see Crypt_Base::decrypt()
+ * @see Crypt_Base::inline_crypt
+ * @var mixed
+ * @access private
+ */
+ var $use_inline_crypt;
+
+ /**
+ * Default Constructor.
+ *
+ * Determines whether or not the mcrypt extension should be used.
+ *
+ * $mode could be:
+ *
+ * - CRYPT_MODE_ECB
+ *
+ * - CRYPT_MODE_CBC
+ *
+ * - CRYPT_MODE_CTR
+ *
+ * - CRYPT_MODE_CFB
+ *
+ * - CRYPT_MODE_OFB
+ *
+ * (or the alias constants of the choosen cipher, for example for AES: CRYPT_AES_MODE_ECB or CRYPT_AES_MODE_CBC ...)
+ *
+ * If not explictly set, CRYPT_MODE_CBC will be used.
+ *
+ * @param optional Integer $mode
+ * @access public
+ */
+ function Crypt_Base($mode = CRYPT_MODE_CBC)
+ {
+ $const_crypt_mode = 'CRYPT_' . $this->const_namespace . '_MODE';
+
+ // Determining the availibility of mcrypt support for the cipher
+ if (!defined($const_crypt_mode)) {
+ switch (true) {
+ case extension_loaded('mcrypt') && in_array($this->cipher_name_mcrypt, mcrypt_list_algorithms()):
+ define($const_crypt_mode, CRYPT_MODE_MCRYPT);
+ break;
+ default:
+ define($const_crypt_mode, CRYPT_MODE_INTERNAL);
+ }
+ }
+
+ // Determining which internal $engine should be used.
+ // The fastes possible first.
+ switch (true) {
+ case empty($this->cipher_name_mcrypt): // The cipher module has no mcrypt-engine support at all so we force CRYPT_MODE_INTERNAL
+ $this->engine = CRYPT_MODE_INTERNAL;
+ break;
+ case constant($const_crypt_mode) == CRYPT_MODE_MCRYPT:
+ $this->engine = CRYPT_MODE_MCRYPT;
+ break;
+ default:
+ $this->engine = CRYPT_MODE_INTERNAL;
+ }
+
+ // $mode dependent settings
+ switch ($mode) {
+ case CRYPT_MODE_ECB:
+ $this->paddable = true;
+ $this->mode = $mode;
+ break;
+ case CRYPT_MODE_CTR:
+ case CRYPT_MODE_CFB:
+ case CRYPT_MODE_OFB:
+ case CRYPT_MODE_STREAM:
+ $this->mode = $mode;
+ break;
+ case CRYPT_MODE_CBC:
+ default:
+ $this->paddable = true;
+ $this->mode = CRYPT_MODE_CBC;
+ }
+
+ // Determining whether inline crypting can be used by the cipher
+ if ($this->use_inline_crypt !== false && function_exists('create_function')) {
+ $this->use_inline_crypt = true;
+ }
+ }
+
+ /**
+ * Sets the initialization vector. (optional)
+ *
+ * SetIV is not required when CRYPT_MODE_ECB (or ie for AES: CRYPT_AES_MODE_ECB) is being used. If not explictly set, it'll be assumed
+ * to be all zero's.
+ *
+ * Note: Could, but not must, extend by the child Crypt_* class
+ *
+ * @access public
+ * @param String $iv
+ */
+ function setIV($iv)
+ {
+ if ($this->mode == CRYPT_MODE_ECB) {
+ return;
+ }
+
+ $this->iv = $iv;
+ $this->changed = true;
+ }
+
+ /**
+ * Sets the key.
+ *
+ * The min/max length(s) of the key depends on the cipher which is used.
+ * If the key not fits the length(s) of the cipher it will paded with null bytes
+ * up to the closest valid key length. If the key is more than max length,
+ * we trim the excess bits.
+ *
+ * If the key is not explicitly set, it'll be assumed to be all null bytes.
+ *
+ * Note: Could, but not must, extend by the child Crypt_* class
+ *
+ * @access public
+ * @param String $key
+ */
+ function setKey($key)
+ {
+ $this->key = $key;
+ $this->changed = true;
+ }
+
+ /**
+ * Sets the password.
+ *
+ * Depending on what $method is set to, setPassword()'s (optional) parameters are as follows:
+ * {@link http://en.wikipedia.org/wiki/PBKDF2 pbkdf2}:
+ * $hash, $salt, $count, $dkLen
+ *
+ * Where $hash (default = sha1) currently supports the following hashes: see: Crypt/Hash.php
+ *
+ * Note: Could, but not must, extend by the child Crypt_* class
+ *
+ * @see Crypt/Hash.php
+ * @param String $password
+ * @param optional String $method
+ * @access public
+ */
+ function setPassword($password, $method = 'pbkdf2')
+ {
+ $key = '';
+
+ switch ($method) {
+ default: // 'pbkdf2'
+ $func_args = func_get_args();
+
+ // Hash function
+ $hash = isset($func_args[2]) ? $func_args[2] : 'sha1';
+
+ // WPA and WPA2 use the SSID as the salt
+ $salt = isset($func_args[3]) ? $func_args[3] : $this->password_default_salt;
+
+ // RFC2898#section-4.2 uses 1,000 iterations by default
+ // WPA and WPA2 use 4,096.
+ $count = isset($func_args[4]) ? $func_args[4] : 1000;
+
+ // Keylength
+ $dkLen = isset($func_args[5]) ? $func_args[5] : $this->password_key_size;
+
+ // Determining if php[>=5.5.0]'s hash_pbkdf2() function avail- and useable
+ switch (true) {
+ case !function_exists('hash_pbkdf2'):
+ case !function_exists('hash_algos'):
+ case !in_array($hash, hash_algos()):
+ if (!class_exists('Crypt_Hash')) {
+ require_once('Crypt/Hash.php');
+ }
+ $i = 1;
+ while (strlen($key) < $dkLen) {
+ $hmac = new Crypt_Hash();
+ $hmac->setHash($hash);
+ $hmac->setKey($password);
+ $f = $u = $hmac->hash($salt . pack('N', $i++));
+ for ($j = 2; $j <= $count; ++$j) {
+ $u = $hmac->hash($u);
+ $f^= $u;
+ }
+ $key.= $f;
+ }
+ $key = substr($key, 0, $dkLen);
+ break;
+ default:
+ $key = hash_pbkdf2($hash, $password, $salt, $count, $dkLen, true);
+ }
+ }
+
+ $this->setKey($key);
+ }
+
+ /**
+ * Encrypts a message.
+ *
+ * $plaintext will be padded with additional bytes such that it's length is a multiple of the block size. Other cipher
+ * implementations may or may not pad in the same manner. Other common approaches to padding and the reasons why it's
+ * necessary are discussed in the following
+ * URL:
+ *
+ * {@link http://www.di-mgt.com.au/cryptopad.html http://www.di-mgt.com.au/cryptopad.html}
+ *
+ * An alternative to padding is to, separately, send the length of the file. This is what SSH, in fact, does.
+ * strlen($plaintext) will still need to be a multiple of the block size, however, arbitrary values can be added to make it that
+ * length.
+ *
+ * Note: Could, but not must, extend by the child Crypt_* class
+ *
+ * @see Crypt_Base::decrypt()
+ * @access public
+ * @param String $plaintext
+ * @return String $cipertext
+ */
+ function encrypt($plaintext)
+ {
+ if ($this->engine == CRYPT_MODE_MCRYPT) {
+ if ($this->changed) {
+ $this->_setupMcrypt();
+ $this->changed = false;
+ }
+ if ($this->enchanged) {
+ mcrypt_generic_init($this->enmcrypt, $this->key, $this->encryptIV);
+ $this->enchanged = false;
+ }
+
+ // re: {@link http://phpseclib.sourceforge.net/cfb-demo.phps}
+ // using mcrypt's default handing of CFB the above would output two different things. using phpseclib's
+ // rewritten CFB implementation the above outputs the same thing twice.
+ if ($this->mode == CRYPT_MODE_CFB && $this->continuousBuffer) {
+ $block_size = $this->block_size;
+ $iv = &$this->encryptIV;
+ $pos = &$this->enbuffer['pos'];
+ $len = strlen($plaintext);
+ $ciphertext = '';
+ $i = 0;
+ if ($pos) {
+ $orig_pos = $pos;
+ $max = $block_size - $pos;
+ if ($len >= $max) {
+ $i = $max;
+ $len-= $max;
+ $pos = 0;
+ } else {
+ $i = $len;
+ $pos+= $len;
+ $len = 0;
+ }
+ $ciphertext = substr($iv, $orig_pos) ^ $plaintext;
+ $iv = substr_replace($iv, $ciphertext, $orig_pos, $i);
+ $this->enbuffer['enmcrypt_init'] = true;
+ }
+ if ($len >= $block_size) {
+ if ($this->enbuffer['enmcrypt_init'] === false || $len > $this->cfb_init_len) {
+ if ($this->enbuffer['enmcrypt_init'] === true) {
+ mcrypt_generic_init($this->enmcrypt, $this->key, $iv);
+ $this->enbuffer['enmcrypt_init'] = false;
+ }
+ $ciphertext.= mcrypt_generic($this->enmcrypt, substr($plaintext, $i, $len - $len % $block_size));
+ $iv = substr($ciphertext, -$block_size);
+ $len%= $block_size;
+ } else {
+ while ($len >= $block_size) {
+ $iv = mcrypt_generic($this->ecb, $iv) ^ substr($plaintext, $i, $block_size);
+ $ciphertext.= $iv;
+ $len-= $block_size;
+ $i+= $block_size;
+ }
+ }
+ }
+
+ if ($len) {
+ $iv = mcrypt_generic($this->ecb, $iv);
+ $block = $iv ^ substr($plaintext, -$len);
+ $iv = substr_replace($iv, $block, 0, $len);
+ $ciphertext.= $block;
+ $pos = $len;
+ }
+
+ return $ciphertext;
+ }
+
+ if ($this->paddable) {
+ $plaintext = $this->_pad($plaintext);
+ }
+
+ $ciphertext = mcrypt_generic($this->enmcrypt, $plaintext);
+
+ if (!$this->continuousBuffer) {
+ mcrypt_generic_init($this->enmcrypt, $this->key, $this->encryptIV);
+ }
+
+ return $ciphertext;
+ }
+
+ if ($this->changed) {
+ $this->_setup();
+ $this->changed = false;
+ }
+ if ($this->use_inline_crypt) {
+ $inline = $this->inline_crypt;
+ return $inline('encrypt', $this, $plaintext);
+ }
+ if ($this->paddable) {
+ $plaintext = $this->_pad($plaintext);
+ }
+
+ $buffer = &$this->enbuffer;
+ $block_size = $this->block_size;
+ $ciphertext = '';
+ switch ($this->mode) {
+ case CRYPT_MODE_ECB:
+ for ($i = 0; $i < strlen($plaintext); $i+=$block_size) {
+ $ciphertext.= $this->_encryptBlock(substr($plaintext, $i, $block_size));
+ }
+ break;
+ case CRYPT_MODE_CBC:
+ $xor = $this->encryptIV;
+ for ($i = 0; $i < strlen($plaintext); $i+=$block_size) {
+ $block = substr($plaintext, $i, $block_size);
+ $block = $this->_encryptBlock($block ^ $xor);
+ $xor = $block;
+ $ciphertext.= $block;
+ }
+ if ($this->continuousBuffer) {
+ $this->encryptIV = $xor;
+ }
+ break;
+ case CRYPT_MODE_CTR:
+ $xor = $this->encryptIV;
+ if (strlen($buffer['encrypted'])) {
+ for ($i = 0; $i < strlen($plaintext); $i+=$block_size) {
+ $block = substr($plaintext, $i, $block_size);
+ if (strlen($block) > strlen($buffer['encrypted'])) {
+ $buffer['encrypted'].= $this->_encryptBlock($this->_generateXor($xor, $block_size));
+ }
+ $key = $this->_stringShift($buffer['encrypted'], $block_size);
+ $ciphertext.= $block ^ $key;
+ }
+ } else {
+ for ($i = 0; $i < strlen($plaintext); $i+=$block_size) {
+ $block = substr($plaintext, $i, $block_size);
+ $key = $this->_encryptBlock($this->_generateXor($xor, $block_size));
+ $ciphertext.= $block ^ $key;
+ }
+ }
+ if ($this->continuousBuffer) {
+ $this->encryptIV = $xor;
+ if ($start = strlen($plaintext) % $block_size) {
+ $buffer['encrypted'] = substr($key, $start) . $buffer['encrypted'];
+ }
+ }
+ break;
+ case CRYPT_MODE_CFB:
+ // cfb loosely routines inspired by openssl's:
+ // {@link http://cvs.openssl.org/fileview?f=openssl/crypto/modes/cfb128.c&v=1.3.2.2.2.1}
+ if ($this->continuousBuffer) {
+ $iv = &$this->encryptIV;
+ $pos = &$buffer['pos'];
+ } else {
+ $iv = $this->encryptIV;
+ $pos = 0;
+ }
+ $len = strlen($plaintext);
+ $i = 0;
+ if ($pos) {
+ $orig_pos = $pos;
+ $max = $block_size - $pos;
+ if ($len >= $max) {
+ $i = $max;
+ $len-= $max;
+ $pos = 0;
+ } else {
+ $i = $len;
+ $pos+= $len;
+ $len = 0;
+ }
+ // ie. $i = min($max, $len), $len-= $i, $pos+= $i, $pos%= $blocksize
+ $ciphertext = substr($iv, $orig_pos) ^ $plaintext;
+ $iv = substr_replace($iv, $ciphertext, $orig_pos, $i);
+ }
+ while ($len >= $block_size) {
+ $iv = $this->_encryptBlock($iv) ^ substr($plaintext, $i, $block_size);
+ $ciphertext.= $iv;
+ $len-= $block_size;
+ $i+= $block_size;
+ }
+ if ($len) {
+ $iv = $this->_encryptBlock($iv);
+ $block = $iv ^ substr($plaintext, $i);
+ $iv = substr_replace($iv, $block, 0, $len);
+ $ciphertext.= $block;
+ $pos = $len;
+ }
+ break;
+ case CRYPT_MODE_OFB:
+ $xor = $this->encryptIV;
+ if (strlen($buffer['xor'])) {
+ for ($i = 0; $i < strlen($plaintext); $i+=$block_size) {
+ $block = substr($plaintext, $i, $block_size);
+ if (strlen($block) > strlen($buffer['xor'])) {
+ $xor = $this->_encryptBlock($xor);
+ $buffer['xor'].= $xor;
+ }
+ $key = $this->_stringShift($buffer['xor'], $block_size);
+ $ciphertext.= $block ^ $key;
+ }
+ } else {
+ for ($i = 0; $i < strlen($plaintext); $i+=$block_size) {
+ $xor = $this->_encryptBlock($xor);
+ $ciphertext.= substr($plaintext, $i, $block_size) ^ $xor;
+ }
+ $key = $xor;
+ }
+ if ($this->continuousBuffer) {
+ $this->encryptIV = $xor;
+ if ($start = strlen($plaintext) % $block_size) {
+ $buffer['xor'] = substr($key, $start) . $buffer['xor'];
+ }
+ }
+ break;
+ case CRYPT_MODE_STREAM:
+ $ciphertext = $this->_encryptBlock($plaintext);
+ break;
+ }
+
+ return $ciphertext;
+ }
+
+ /**
+ * Decrypts a message.
+ *
+ * If strlen($ciphertext) is not a multiple of the block size, null bytes will be added to the end of the string until
+ * it is.
+ *
+ * Note: Could, but not must, extend by the child Crypt_* class
+ *
+ * @see Crypt_Base::encrypt()
+ * @access public
+ * @param String $ciphertext
+ * @return String $plaintext
+ */
+ function decrypt($ciphertext)
+ {
+ if ($this->engine == CRYPT_MODE_MCRYPT) {
+ $block_size = $this->block_size;
+ if ($this->changed) {
+ $this->_setupMcrypt();
+ $this->changed = false;
+ }
+ if ($this->dechanged) {
+ mcrypt_generic_init($this->demcrypt, $this->key, $this->decryptIV);
+ $this->dechanged = false;
+ }
+
+ if ($this->mode == CRYPT_MODE_CFB && $this->continuousBuffer) {
+ $iv = &$this->decryptIV;
+ $pos = &$this->debuffer['pos'];
+ $len = strlen($ciphertext);
+ $plaintext = '';
+ $i = 0;
+ if ($pos) {
+ $orig_pos = $pos;
+ $max = $block_size - $pos;
+ if ($len >= $max) {
+ $i = $max;
+ $len-= $max;
+ $pos = 0;
+ } else {
+ $i = $len;
+ $pos+= $len;
+ $len = 0;
+ }
+ // ie. $i = min($max, $len), $len-= $i, $pos+= $i, $pos%= $blocksize
+ $plaintext = substr($iv, $orig_pos) ^ $ciphertext;
+ $iv = substr_replace($iv, substr($ciphertext, 0, $i), $orig_pos, $i);
+ }
+ if ($len >= $block_size) {
+ $cb = substr($ciphertext, $i, $len - $len % $block_size);
+ $plaintext.= mcrypt_generic($this->ecb, $iv . $cb) ^ $cb;
+ $iv = substr($cb, -$block_size);
+ $len%= $block_size;
+ }
+ if ($len) {
+ $iv = mcrypt_generic($this->ecb, $iv);
+ $plaintext.= $iv ^ substr($ciphertext, -$len);
+ $iv = substr_replace($iv, substr($ciphertext, -$len), 0, $len);
+ $pos = $len;
+ }
+
+ return $plaintext;
+ }
+
+ if ($this->paddable) {
+ // we pad with chr(0) since that's what mcrypt_generic does. to quote from {@link http://www.php.net/function.mcrypt-generic}:
+ // "The data is padded with "\0" to make sure the length of the data is n * blocksize."
+ $ciphertext = str_pad($ciphertext, strlen($ciphertext) + ($block_size - strlen($ciphertext) % $block_size) % $block_size, chr(0));
+ }
+
+ $plaintext = mdecrypt_generic($this->demcrypt, $ciphertext);
+
+ if (!$this->continuousBuffer) {
+ mcrypt_generic_init($this->demcrypt, $this->key, $this->decryptIV);
+ }
+
+ return $this->paddable ? $this->_unpad($plaintext) : $plaintext;
+ }
+
+ if ($this->changed) {
+ $this->_setup();
+ $this->changed = false;
+ }
+ if ($this->use_inline_crypt) {
+ $inline = $this->inline_crypt;
+ return $inline('decrypt', $this, $ciphertext);
+ }
+
+ $block_size = $this->block_size;
+ if ($this->paddable) {
+ // we pad with chr(0) since that's what mcrypt_generic does [...]
+ $ciphertext = str_pad($ciphertext, strlen($ciphertext) + ($block_size - strlen($ciphertext) % $block_size) % $block_size, chr(0));
+ }
+
+ $buffer = &$this->debuffer;
+ $plaintext = '';
+ switch ($this->mode) {
+ case CRYPT_MODE_ECB:
+ for ($i = 0; $i < strlen($ciphertext); $i+=$block_size) {
+ $plaintext.= $this->_decryptBlock(substr($ciphertext, $i, $block_size));
+ }
+ break;
+ case CRYPT_MODE_CBC:
+ $xor = $this->decryptIV;
+ for ($i = 0; $i < strlen($ciphertext); $i+=$block_size) {
+ $block = substr($ciphertext, $i, $block_size);
+ $plaintext.= $this->_decryptBlock($block) ^ $xor;
+ $xor = $block;
+ }
+ if ($this->continuousBuffer) {
+ $this->decryptIV = $xor;
+ }
+ break;
+ case CRYPT_MODE_CTR:
+ $xor = $this->decryptIV;
+ if (strlen($buffer['ciphertext'])) {
+ for ($i = 0; $i < strlen($ciphertext); $i+=$block_size) {
+ $block = substr($ciphertext, $i, $block_size);
+ if (strlen($block) > strlen($buffer['ciphertext'])) {
+ $buffer['ciphertext'].= $this->_encryptBlock($this->_generateXor($xor, $block_size));
+ }
+ $key = $this->_stringShift($buffer['ciphertext'], $block_size);
+ $plaintext.= $block ^ $key;
+ }
+ } else {
+ for ($i = 0; $i < strlen($ciphertext); $i+=$block_size) {
+ $block = substr($ciphertext, $i, $block_size);
+ $key = $this->_encryptBlock($this->_generateXor($xor, $block_size));
+ $plaintext.= $block ^ $key;
+ }
+ }
+ if ($this->continuousBuffer) {
+ $this->decryptIV = $xor;
+ if ($start = strlen($ciphertext) % $block_size) {
+ $buffer['ciphertext'] = substr($key, $start) . $buffer['ciphertext'];
+ }
+ }
+ break;
+ case CRYPT_MODE_CFB:
+ if ($this->continuousBuffer) {
+ $iv = &$this->decryptIV;
+ $pos = &$buffer['pos'];
+ } else {
+ $iv = $this->decryptIV;
+ $pos = 0;
+ }
+ $len = strlen($ciphertext);
+ $i = 0;
+ if ($pos) {
+ $orig_pos = $pos;
+ $max = $block_size - $pos;
+ if ($len >= $max) {
+ $i = $max;
+ $len-= $max;
+ $pos = 0;
+ } else {
+ $i = $len;
+ $pos+= $len;
+ $len = 0;
+ }
+ // ie. $i = min($max, $len), $len-= $i, $pos+= $i, $pos%= $blocksize
+ $plaintext = substr($iv, $orig_pos) ^ $ciphertext;
+ $iv = substr_replace($iv, substr($ciphertext, 0, $i), $orig_pos, $i);
+ }
+ while ($len >= $block_size) {
+ $iv = $this->_encryptBlock($iv);
+ $cb = substr($ciphertext, $i, $block_size);
+ $plaintext.= $iv ^ $cb;
+ $iv = $cb;
+ $len-= $block_size;
+ $i+= $block_size;
+ }
+ if ($len) {
+ $iv = $this->_encryptBlock($iv);
+ $plaintext.= $iv ^ substr($ciphertext, $i);
+ $iv = substr_replace($iv, substr($ciphertext, $i), 0, $len);
+ $pos = $len;
+ }
+ break;
+ case CRYPT_MODE_OFB:
+ $xor = $this->decryptIV;
+ if (strlen($buffer['xor'])) {
+ for ($i = 0; $i < strlen($ciphertext); $i+=$block_size) {
+ $block = substr($ciphertext, $i, $block_size);
+ if (strlen($block) > strlen($buffer['xor'])) {
+ $xor = $this->_encryptBlock($xor);
+ $buffer['xor'].= $xor;
+ }
+ $key = $this->_stringShift($buffer['xor'], $block_size);
+ $plaintext.= $block ^ $key;
+ }
+ } else {
+ for ($i = 0; $i < strlen($ciphertext); $i+=$block_size) {
+ $xor = $this->_encryptBlock($xor);
+ $plaintext.= substr($ciphertext, $i, $block_size) ^ $xor;
+ }
+ $key = $xor;
+ }
+ if ($this->continuousBuffer) {
+ $this->decryptIV = $xor;
+ if ($start = strlen($ciphertext) % $block_size) {
+ $buffer['xor'] = substr($key, $start) . $buffer['xor'];
+ }
+ }
+ break;
+ case CRYPT_MODE_STREAM:
+ $plaintext = $this->_decryptBlock($ciphertext);
+ break;
+ }
+ return $this->paddable ? $this->_unpad($plaintext) : $plaintext;
+ }
+
+ /**
+ * Pad "packets".
+ *
+ * Block ciphers working by encrypting between their specified [$this->]block_size at a time
+ * If you ever need to encrypt or decrypt something that isn't of the proper length, it becomes necessary to
+ * pad the input so that it is of the proper length.
+ *
+ * Padding is enabled by default. Sometimes, however, it is undesirable to pad strings. Such is the case in SSH,
+ * where "packets" are padded with random bytes before being encrypted. Unpad these packets and you risk stripping
+ * away characters that shouldn't be stripped away. (SSH knows how many bytes are added because the length is
+ * transmitted separately)
+ *
+ * @see Crypt_Base::disablePadding()
+ * @access public
+ */
+ function enablePadding()
+ {
+ $this->padding = true;
+ }
+
+ /**
+ * Do not pad packets.
+ *
+ * @see Crypt_Base::enablePadding()
+ * @access public
+ */
+ function disablePadding()
+ {
+ $this->padding = false;
+ }
+
+ /**
+ * Treat consecutive "packets" as if they are a continuous buffer.
+ *
+ * Say you have a 32-byte plaintext $plaintext. Using the default behavior, the two following code snippets
+ * will yield different outputs:
+ *
+ * <code>
+ * echo $rijndael->encrypt(substr($plaintext, 0, 16));
+ * echo $rijndael->encrypt(substr($plaintext, 16, 16));
+ * </code>
+ * <code>
+ * echo $rijndael->encrypt($plaintext);
+ * </code>
+ *
+ * The solution is to enable the continuous buffer. Although this will resolve the above discrepancy, it creates
+ * another, as demonstrated with the following:
+ *
+ * <code>
+ * $rijndael->encrypt(substr($plaintext, 0, 16));
+ * echo $rijndael->decrypt($rijndael->encrypt(substr($plaintext, 16, 16)));
+ * </code>
+ * <code>
+ * echo $rijndael->decrypt($rijndael->encrypt(substr($plaintext, 16, 16)));
+ * </code>
+ *
+ * With the continuous buffer disabled, these would yield the same output. With it enabled, they yield different
+ * outputs. The reason is due to the fact that the initialization vector's change after every encryption /
+ * decryption round when the continuous buffer is enabled. When it's disabled, they remain constant.
+ *
+ * Put another way, when the continuous buffer is enabled, the state of the Crypt_*() object changes after each
+ * encryption / decryption round, whereas otherwise, it'd remain constant. For this reason, it's recommended that
+ * continuous buffers not be used. They do offer better security and are, in fact, sometimes required (SSH uses them),
+ * however, they are also less intuitive and more likely to cause you problems.
+ *
+ * Note: Could, but not must, extend by the child Crypt_* class
+ *
+ * @see Crypt_Base::disableContinuousBuffer()
+ * @access public
+ */
+ function enableContinuousBuffer()
+ {
+ if ($this->mode == CRYPT_MODE_ECB) {
+ return;
+ }
+
+ $this->continuousBuffer = true;
+ }
+
+ /**
+ * Treat consecutive packets as if they are a discontinuous buffer.
+ *
+ * The default behavior.
+ *
+ * Note: Could, but not must, extend by the child Crypt_* class
+ *
+ * @see Crypt_Base::enableContinuousBuffer()
+ * @access public
+ */
+ function disableContinuousBuffer()
+ {
+ if ($this->mode == CRYPT_MODE_ECB) {
+ return;
+ }
+ if (!$this->continuousBuffer) {
+ return;
+ }
+
+ $this->continuousBuffer = false;
+ $this->changed = true;
+ }
+
+ /**
+ * Encrypts a block
+ *
+ * Note: Must extend by the child Crypt_* class
+ *
+ * @access private
+ * @param String $in
+ * @return String
+ */
+ function _encryptBlock($in)
+ {
+ user_error((version_compare(PHP_VERSION, '5.0.0', '>=') ? __METHOD__ : __FUNCTION__) . '() must extend by class ' . get_class($this), E_USER_ERROR);
+ }
+
+ /**
+ * Decrypts a block
+ *
+ * Note: Must extend by the child Crypt_* class
+ *
+ * @access private
+ * @param String $in
+ * @return String
+ */
+ function _decryptBlock($in)
+ {
+ user_error((version_compare(PHP_VERSION, '5.0.0', '>=') ? __METHOD__ : __FUNCTION__) . '() must extend by class ' . get_class($this), E_USER_ERROR);
+ }
+
+ /**
+ * Setup the key (expansion)
+ *
+ * Only used if $engine == CRYPT_MODE_INTERNAL
+ *
+ * Note: Must extend by the child Crypt_* class
+ *
+ * @see Crypt_Base::_setup()
+ * @access private
+ */
+ function _setupKey()
+ {
+ user_error((version_compare(PHP_VERSION, '5.0.0', '>=') ? __METHOD__ : __FUNCTION__) . '() must extend by class ' . get_class($this), E_USER_ERROR);
+ }
+
+ /**
+ * Setup the CRYPT_MODE_INTERNAL $engine
+ *
+ * (re)init, if necessary, the internal cipher $engine and flush all $buffers
+ * Used (only) if $engine == CRYPT_MODE_INTERNAL
+ *
+ * _setup() will be called each time if $changed === true
+ * typically this happens when using one or more of following public methods:
+ *
+ * - setKey()
+ *
+ * - setIV()
+ *
+ * - disableContinuousBuffer()
+ *
+ * - First run of encrypt() / decrypt() with no init-settings
+ *
+ * Internally: _setup() is called always before(!) en/decryption.
+ *
+ * Note: Could, but not must, extend by the child Crypt_* class
+ *
+ * @see setKey()
+ * @see setIV()
+ * @see disableContinuousBuffer()
+ * @access private
+ */
+ function _setup()
+ {
+ $this->_clearBuffers();
+ $this->_setupKey();
+
+ if ($this->use_inline_crypt) {
+ $this->_setupInlineCrypt();
+ }
+ }
+
+ /**
+ * Setup the CRYPT_MODE_MCRYPT $engine
+ *
+ * (re)init, if necessary, the (ext)mcrypt resources and flush all $buffers
+ * Used (only) if $engine = CRYPT_MODE_MCRYPT
+ *
+ * _setupMcrypt() will be called each time if $changed === true
+ * typically this happens when using one or more of following public methods:
+ *
+ * - setKey()
+ *
+ * - setIV()
+ *
+ * - disableContinuousBuffer()
+ *
+ * - First run of encrypt() / decrypt()
+ *
+ *
+ * Note: Could, but not must, extend by the child Crypt_* class
+ *
+ * @see setKey()
+ * @see setIV()
+ * @see disableContinuousBuffer()
+ * @access private
+ */
+ function _setupMcrypt()
+ {
+ $this->_clearBuffers();
+ $this->enchanged = $this->dechanged = true;
+
+ if (!isset($this->enmcrypt)) {
+ static $mcrypt_modes = array(
+ CRYPT_MODE_CTR => 'ctr',
+ CRYPT_MODE_ECB => MCRYPT_MODE_ECB,
+ CRYPT_MODE_CBC => MCRYPT_MODE_CBC,
+ CRYPT_MODE_CFB => 'ncfb',
+ CRYPT_MODE_OFB => MCRYPT_MODE_NOFB,
+ CRYPT_MODE_STREAM => MCRYPT_MODE_STREAM,
+ );
+
+ $this->demcrypt = mcrypt_module_open($this->cipher_name_mcrypt, '', $mcrypt_modes[$this->mode], '');
+ $this->enmcrypt = mcrypt_module_open($this->cipher_name_mcrypt, '', $mcrypt_modes[$this->mode], '');
+
+ // we need the $ecb mcrypt resource (only) in MODE_CFB with enableContinuousBuffer()
+ // to workaround mcrypt's broken ncfb implementation in buffered mode
+ // see: {@link http://phpseclib.sourceforge.net/cfb-demo.phps}
+ if ($this->mode == CRYPT_MODE_CFB) {
+ $this->ecb = mcrypt_module_open($this->cipher_name_mcrypt, '', MCRYPT_MODE_ECB, '');
+ }
+
+ } // else should mcrypt_generic_deinit be called?
+
+ if ($this->mode == CRYPT_MODE_CFB) {
+ mcrypt_generic_init($this->ecb, $this->key, str_repeat("\0", $this->block_size));
+ }
+ }
+
+ /**
+ * Pads a string
+ *
+ * Pads a string using the RSA PKCS padding standards so that its length is a multiple of the blocksize.
+ * $this->block_size - (strlen($text) % $this->block_size) bytes are added, each of which is equal to
+ * chr($this->block_size - (strlen($text) % $this->block_size)
+ *
+ * If padding is disabled and $text is not a multiple of the blocksize, the string will be padded regardless
+ * and padding will, hence forth, be enabled.
+ *
+ * @see Crypt_Base::_unpad()
+ * @param String $text
+ * @access private
+ * @return String
+ */
+ function _pad($text)
+ {
+ $length = strlen($text);
+
+ if (!$this->padding) {
+ if ($length % $this->block_size == 0) {
+ return $text;
+ } else {
+ user_error("The plaintext's length ($length) is not a multiple of the block size ({$this->block_size})");
+ $this->padding = true;
+ }
+ }
+
+ $pad = $this->block_size - ($length % $this->block_size);
+
+ return str_pad($text, $length + $pad, chr($pad));
+ }
+
+ /**
+ * Unpads a string.
+ *
+ * If padding is enabled and the reported padding length is invalid the encryption key will be assumed to be wrong
+ * and false will be returned.
+ *
+ * @see Crypt_Base::_pad()
+ * @param String $text
+ * @access private
+ * @return String
+ */
+ function _unpad($text)
+ {
+ if (!$this->padding) {
+ return $text;
+ }
+
+ $length = ord($text[strlen($text) - 1]);
+
+ if (!$length || $length > $this->block_size) {
+ return false;
+ }
+
+ return substr($text, 0, -$length);
+ }
+
+ /**
+ * Clears internal buffers
+ *
+ * Clearing/resetting the internal buffers is done everytime
+ * after disableContinuousBuffer() or on cipher $engine (re)init
+ * ie after setKey() or setIV()
+ *
+ * Note: Could, but not must, extend by the child Crypt_* class
+ *
+ * @access public
+ */
+ function _clearBuffers()
+ {
+ $this->enbuffer = array('encrypted' => '', 'xor' => '', 'pos' => 0, 'enmcrypt_init' => true);
+ $this->debuffer = array('ciphertext' => '', 'xor' => '', 'pos' => 0, 'demcrypt_init' => true);
+
+ // mcrypt's handling of invalid's $iv:
+ // $this->encryptIV = $this->decryptIV = strlen($this->iv) == $this->block_size ? $this->iv : str_repeat("\0", $this->block_size);
+ $this->encryptIV = $this->decryptIV = str_pad(substr($this->iv, 0, $this->block_size), $this->block_size, "\0");
+ }
+
+ /**
+ * String Shift
+ *
+ * Inspired by array_shift
+ *
+ * @param String $string
+ * @param optional Integer $index
+ * @access private
+ * @return String
+ */
+ function _stringShift(&$string, $index = 1)
+ {
+ $substr = substr($string, 0, $index);
+ $string = substr($string, $index);
+ return $substr;
+ }
+
+ /**
+ * Generate CTR XOR encryption key
+ *
+ * Encrypt the output of this and XOR it against the ciphertext / plaintext to get the
+ * plaintext / ciphertext in CTR mode.
+ *
+ * @see Crypt_Base::decrypt()
+ * @see Crypt_Base::encrypt()
+ * @param String $iv
+ * @param Integer $length
+ * @access private
+ * @return String $xor
+ */
+ function _generateXor(&$iv, $length)
+ {
+ $xor = '';
+ $block_size = $this->block_size;
+ $num_blocks = floor(($length + ($block_size - 1)) / $block_size);
+ for ($i = 0; $i < $num_blocks; $i++) {
+ $xor.= $iv;
+ for ($j = 4; $j <= $block_size; $j+= 4) {
+ $temp = substr($iv, -$j, 4);
+ switch ($temp) {
+ case "\xFF\xFF\xFF\xFF":
+ $iv = substr_replace($iv, "\x00\x00\x00\x00", -$j, 4);
+ break;
+ case "\x7F\xFF\xFF\xFF":
+ $iv = substr_replace($iv, "\x80\x00\x00\x00", -$j, 4);
+ break 2;
+ default:
+ extract(unpack('Ncount', $temp));
+ $iv = substr_replace($iv, pack('N', $count + 1), -$j, 4);
+ break 2;
+ }
+ }
+ }
+
+ return $xor;
+ }
+
+ /**
+ * Setup the performance-optimized function for de/encrypt()
+ *
+ * Stores the created (or existing) callback function-name
+ * in $this->inline_crypt
+ *
+ * Internally for phpseclib developers:
+ *
+ * _setupInlineCrypt() would be called only if:
+ *
+ * - $engine == CRYPT_MODE_INTERNAL and
+ *
+ * - $use_inline_crypt === true
+ *
+ * - each time on _setup(), after(!) _setupKey()
+ *
+ *
+ * This ensures that _setupInlineCrypt() has allways a
+ * full ready2go initializated internal cipher $engine state
+ * where, for example, the keys allready expanded,
+ * keys/block_size calculated and such.
+ *
+ * It is, each time if called, the responsibility of _setupInlineCrypt():
+ *
+ * - to set $this->inline_crypt to a valid and fully working callback function
+ * as a (faster) replacement for encrypt() / decrypt()
+ *
+ * - NOT to create unlimited callback functions (for memory reasons!)
+ * no matter how often _setupInlineCrypt() would be called. At some
+ * point of amount they must be generic re-useable.
+ *
+ * - the code of _setupInlineCrypt() it self,
+ * and the generated callback code,
+ * must be, in following order:
+ * - 100% safe
+ * - 100% compatible to encrypt()/decrypt()
+ * - using only php5+ features/lang-constructs/php-extensions if
+ * compatibility (down to php4) or fallback is provided
+ * - readable/maintainable/understandable/commented and... not-cryptic-styled-code :-)
+ * - >= 10% faster than encrypt()/decrypt() [which is, by the way,
+ * the reason for the existence of _setupInlineCrypt() :-)]
+ * - memory-nice
+ * - short (as good as possible)
+ *
+ * Note: - _setupInlineCrypt() is using _createInlineCryptFunction() to create the full callback function code.
+ * - In case of using inline crypting, _setupInlineCrypt() must extend by the child Crypt_* class.
+ * - The following variable names are reserved:
+ * - $_* (all variable names prefixed with an underscore)
+ * - $self (object reference to it self. Do not use $this, but $self instead)
+ * - $in (the content of $in has to en/decrypt by the generated code)
+ * - The callback function should not use the 'return' statement, but en/decrypt'ing the content of $in only
+ *
+ *
+ * @see Crypt_Base::_setup()
+ * @see Crypt_Base::_createInlineCryptFunction()
+ * @see Crypt_Base::encrypt()
+ * @see Crypt_Base::decrypt()
+ * @access private
+ */
+ function _setupInlineCrypt()
+ {
+ // If a Crypt_* class providing inline crypting it must extend _setupInlineCrypt()
+
+ // If, for any reason, an extending Crypt_Base() Crypt_* class
+ // not using inline crypting then it must be ensured that: $this->use_inline_crypt = false
+ // ie in the class var declaration of $use_inline_crypt in general for the Crypt_* class,
+ // in the constructor at object instance-time
+ // or, if it's runtime-specific, at runtime
+
+ $this->use_inline_crypt = false;
+ }
+
+ /**
+ * Creates the performance-optimized function for en/decrypt()
+ *
+ * Internally for phpseclib developers:
+ *
+ * _createInlineCryptFunction():
+ *
+ * - merge the $cipher_code [setup'ed by _setupInlineCrypt()]
+ * with the current [$this->]mode of operation code
+ *
+ * - create the $inline function, which called by encrypt() / decrypt()
+ * as its replacement to speed up the en/decryption operations.
+ *
+ * - return the name of the created $inline callback function
+ *
+ * - used to speed up en/decryption
+ *
+ *
+ *
+ * The main reason why can speed up things [up to 50%] this way are:
+ *
+ * - using variables more effective then regular.
+ * (ie no use of expensive arrays but integers $k_0, $k_1 ...
+ * or even, for example, the pure $key[] values hardcoded)
+ *
+ * - avoiding 1000's of function calls of ie _encryptBlock()
+ * but inlining the crypt operations.
+ * in the mode of operation for() loop.
+ *
+ * - full loop unroll the (sometimes key-dependent) rounds
+ * avoiding this way ++$i counters and runtime-if's etc...
+ *
+ * The basic code architectur of the generated $inline en/decrypt()
+ * lambda function, in pseudo php, is:
+ *
+ * <code>
+ * +----------------------------------------------------------------------------------------------+
+ * | callback $inline = create_function: |
+ * | lambda_function_0001_crypt_ECB($action, $text) |
+ * | { |
+ * | INSERT PHP CODE OF: |
+ * | $cipher_code['init_crypt']; // general init code. |
+ * | // ie: $sbox'es declarations used for |
+ * | // encrypt and decrypt'ing. |
+ * | |
+ * | switch ($action) { |
+ * | case 'encrypt': |
+ * | INSERT PHP CODE OF: |
+ * | $cipher_code['init_encrypt']; // encrypt sepcific init code. |
+ * | ie: specified $key or $box |
+ * | declarations for encrypt'ing. |
+ * | |
+ * | foreach ($ciphertext) { |
+ * | $in = $block_size of $ciphertext; |
+ * | |
+ * | INSERT PHP CODE OF: |
+ * | $cipher_code['encrypt_block']; // encrypt's (string) $in, which is always: |
+ * | // strlen($in) == $this->block_size |
+ * | // here comes the cipher algorithm in action |
+ * | // for encryption. |
+ * | // $cipher_code['encrypt_block'] has to |
+ * | // encrypt the content of the $in variable |
+ * | |
+ * | $plaintext .= $in; |
+ * | } |
+ * | return $plaintext; |
+ * | |
+ * | case 'decrypt': |
+ * | INSERT PHP CODE OF: |
+ * | $cipher_code['init_decrypt']; // decrypt sepcific init code |
+ * | ie: specified $key or $box |
+ * | declarations for decrypt'ing. |
+ * | foreach ($plaintext) { |
+ * | $in = $block_size of $plaintext; |
+ * | |
+ * | INSERT PHP CODE OF: |
+ * | $cipher_code['decrypt_block']; // decrypt's (string) $in, which is always |
+ * | // strlen($in) == $this->block_size |
+ * | // here comes the cipher algorithm in action |
+ * | // for decryption. |
+ * | // $cipher_code['decrypt_block'] has to |
+ * | // decrypt the content of the $in variable |
+ * | $ciphertext .= $in; |
+ * | } |
+ * | return $ciphertext; |
+ * | } |
+ * | } |
+ * +----------------------------------------------------------------------------------------------+
+ * </code>
+ *
+ * See also the Crypt_*::_setupInlineCrypt()'s for
+ * productive inline $cipher_code's how they works.
+ *
+ * Structure of:
+ * <code>
+ * $cipher_code = array(
+ * 'init_crypt' => (string) '', // optional
+ * 'init_encrypt' => (string) '', // optional
+ * 'init_decrypt' => (string) '', // optional
+ * 'encrypt_block' => (string) '', // required
+ * 'decrypt_block' => (string) '' // required
+ * );
+ * </code>
+ *
+ * @see Crypt_Base::_setupInlineCrypt()
+ * @see Crypt_Base::encrypt()
+ * @see Crypt_Base::decrypt()
+ * @param Array $cipher_code
+ * @access private
+ * @return String (the name of the created callback function)
+ */
+ function _createInlineCryptFunction($cipher_code)
+ {
+ $block_size = $this->block_size;
+
+ // optional
+ $init_crypt = isset($cipher_code['init_crypt']) ? $cipher_code['init_crypt'] : '';
+ $init_encrypt = isset($cipher_code['init_encrypt']) ? $cipher_code['init_encrypt'] : '';
+ $init_decrypt = isset($cipher_code['init_decrypt']) ? $cipher_code['init_decrypt'] : '';
+ // required
+ $encrypt_block = $cipher_code['encrypt_block'];
+ $decrypt_block = $cipher_code['decrypt_block'];
+
+ // Generating mode of operation inline code,
+ // merged with the $cipher_code algorithm
+ // for encrypt- and decryption.
+ switch ($this->mode) {
+ case CRYPT_MODE_ECB:
+ $encrypt = $init_encrypt . '
+ $_ciphertext = "";
+ $_text = $self->_pad($_text);
+ $_plaintext_len = strlen($_text);
+
+ for ($_i = 0; $_i < $_plaintext_len; $_i+= '.$block_size.') {
+ $in = substr($_text, $_i, '.$block_size.');
+ '.$encrypt_block.'
+ $_ciphertext.= $in;
+ }
+
+ return $_ciphertext;
+ ';
+
+ $decrypt = $init_decrypt . '
+ $_plaintext = "";
+ $_text = str_pad($_text, strlen($_text) + ('.$block_size.' - strlen($_text) % '.$block_size.') % '.$block_size.', chr(0));
+ $_ciphertext_len = strlen($_text);
+
+ for ($_i = 0; $_i < $_ciphertext_len; $_i+= '.$block_size.') {
+ $in = substr($_text, $_i, '.$block_size.');
+ '.$decrypt_block.'
+ $_plaintext.= $in;
+ }
+
+ return $self->_unpad($_plaintext);
+ ';
+ break;
+ case CRYPT_MODE_CTR:
+ $encrypt = $init_encrypt . '
+ $_ciphertext = "";
+ $_plaintext_len = strlen($_text);
+ $_xor = $self->encryptIV;
+ $_buffer = &$self->enbuffer;
+
+ if (strlen($_buffer["encrypted"])) {
+ for ($_i = 0; $_i < $_plaintext_len; $_i+= '.$block_size.') {
+ $_block = substr($_text, $_i, '.$block_size.');
+ if (strlen($_block) > strlen($_buffer["encrypted"])) {
+ $in = $self->_generateXor($_xor, '.$block_size.');
+ '.$encrypt_block.'
+ $_buffer["encrypted"].= $in;
+ }
+ $_key = $self->_stringShift($_buffer["encrypted"], '.$block_size.');
+ $_ciphertext.= $_block ^ $_key;
+ }
+ } else {
+ for ($_i = 0; $_i < $_plaintext_len; $_i+= '.$block_size.') {
+ $_block = substr($_text, $_i, '.$block_size.');
+ $in = $self->_generateXor($_xor, '.$block_size.');
+ '.$encrypt_block.'
+ $_key = $in;
+ $_ciphertext.= $_block ^ $_key;
+ }
+ }
+ if ($self->continuousBuffer) {
+ $self->encryptIV = $_xor;
+ if ($_start = $_plaintext_len % '.$block_size.') {
+ $_buffer["encrypted"] = substr($_key, $_start) . $_buffer["encrypted"];
+ }
+ }
+
+ return $_ciphertext;
+ ';
+
+ $decrypt = $init_encrypt . '
+ $_plaintext = "";
+ $_ciphertext_len = strlen($_text);
+ $_xor = $self->decryptIV;
+ $_buffer = &$self->debuffer;
+
+ if (strlen($_buffer["ciphertext"])) {
+ for ($_i = 0; $_i < $_ciphertext_len; $_i+= '.$block_size.') {
+ $_block = substr($_text, $_i, '.$block_size.');
+ if (strlen($_block) > strlen($_buffer["ciphertext"])) {
+ $in = $self->_generateXor($_xor, '.$block_size.');
+ '.$encrypt_block.'
+ $_buffer["ciphertext"].= $in;
+ }
+ $_key = $self->_stringShift($_buffer["ciphertext"], '.$block_size.');
+ $_plaintext.= $_block ^ $_key;
+ }
+ } else {
+ for ($_i = 0; $_i < $_ciphertext_len; $_i+= '.$block_size.') {
+ $_block = substr($_text, $_i, '.$block_size.');
+ $in = $self->_generateXor($_xor, '.$block_size.');
+ '.$encrypt_block.'
+ $_key = $in;
+ $_plaintext.= $_block ^ $_key;
+ }
+ }
+ if ($self->continuousBuffer) {
+ $self->decryptIV = $_xor;
+ if ($_start = $_ciphertext_len % '.$block_size.') {
+ $_buffer["ciphertext"] = substr($_key, $_start) . $_buffer["ciphertext"];
+ }
+ }
+
+ return $_plaintext;
+ ';
+ break;
+ case CRYPT_MODE_CFB:
+ $encrypt = $init_encrypt . '
+ $_ciphertext = "";
+ $_buffer = &$self->enbuffer;
+
+ if ($self->continuousBuffer) {
+ $_iv = &$self->encryptIV;
+ $_pos = &$_buffer["pos"];
+ } else {
+ $_iv = $self->encryptIV;
+ $_pos = 0;
+ }
+ $_len = strlen($_text);
+ $_i = 0;
+ if ($_pos) {
+ $_orig_pos = $_pos;
+ $_max = '.$block_size.' - $_pos;
+ if ($_len >= $_max) {
+ $_i = $_max;
+ $_len-= $_max;
+ $_pos = 0;
+ } else {
+ $_i = $_len;
+ $_pos+= $_len;
+ $_len = 0;
+ }
+ $_ciphertext = substr($_iv, $_orig_pos) ^ $_text;
+ $_iv = substr_replace($_iv, $_ciphertext, $_orig_pos, $_i);
+ }
+ while ($_len >= '.$block_size.') {
+ $in = $_iv;
+ '.$encrypt_block.';
+ $_iv = $in ^ substr($_text, $_i, '.$block_size.');
+ $_ciphertext.= $_iv;
+ $_len-= '.$block_size.';
+ $_i+= '.$block_size.';
+ }
+ if ($_len) {
+ $in = $_iv;
+ '.$encrypt_block.'
+ $_iv = $in;
+ $_block = $_iv ^ substr($_text, $_i);
+ $_iv = substr_replace($_iv, $_block, 0, $_len);
+ $_ciphertext.= $_block;
+ $_pos = $_len;
+ }
+ return $_ciphertext;
+ ';
+
+ $decrypt = $init_encrypt . '
+ $_plaintext = "";
+ $_buffer = &$self->debuffer;
+
+ if ($self->continuousBuffer) {
+ $_iv = &$self->decryptIV;
+ $_pos = &$_buffer["pos"];
+ } else {
+ $_iv = $self->decryptIV;
+ $_pos = 0;
+ }
+ $_len = strlen($_text);
+ $_i = 0;
+ if ($_pos) {
+ $_orig_pos = $_pos;
+ $_max = '.$block_size.' - $_pos;
+ if ($_len >= $_max) {
+ $_i = $_max;
+ $_len-= $_max;
+ $_pos = 0;
+ } else {
+ $_i = $_len;
+ $_pos+= $_len;
+ $_len = 0;
+ }
+ $_plaintext = substr($_iv, $_orig_pos) ^ $_text;
+ $_iv = substr_replace($_iv, substr($_text, 0, $_i), $_orig_pos, $_i);
+ }
+ while ($_len >= '.$block_size.') {
+ $in = $_iv;
+ '.$encrypt_block.'
+ $_iv = $in;
+ $cb = substr($_text, $_i, '.$block_size.');
+ $_plaintext.= $_iv ^ $cb;
+ $_iv = $cb;
+ $_len-= '.$block_size.';
+ $_i+= '.$block_size.';
+ }
+ if ($_len) {
+ $in = $_iv;
+ '.$encrypt_block.'
+ $_iv = $in;
+ $_plaintext.= $_iv ^ substr($_text, $_i);
+ $_iv = substr_replace($_iv, substr($_text, $_i), 0, $_len);
+ $_pos = $_len;
+ }
+
+ return $_plaintext;
+ ';
+ break;
+ case CRYPT_MODE_OFB:
+ $encrypt = $init_encrypt . '
+ $_ciphertext = "";
+ $_plaintext_len = strlen($_text);
+ $_xor = $self->encryptIV;
+ $_buffer = &$self->enbuffer;
+
+ if (strlen($_buffer["xor"])) {
+ for ($_i = 0; $_i < $_plaintext_len; $_i+= '.$block_size.') {
+ $_block = substr($_text, $_i, '.$block_size.');
+ if (strlen($_block) > strlen($_buffer["xor"])) {
+ $in = $_xor;
+ '.$encrypt_block.'
+ $_xor = $in;
+ $_buffer["xor"].= $_xor;
+ }
+ $_key = $self->_stringShift($_buffer["xor"], '.$block_size.');
+ $_ciphertext.= $_block ^ $_key;
+ }
+ } else {
+ for ($_i = 0; $_i < $_plaintext_len; $_i+= '.$block_size.') {
+ $in = $_xor;
+ '.$encrypt_block.'
+ $_xor = $in;
+ $_ciphertext.= substr($_text, $_i, '.$block_size.') ^ $_xor;
+ }
+ $_key = $_xor;
+ }
+ if ($self->continuousBuffer) {
+ $self->encryptIV = $_xor;
+ if ($_start = $_plaintext_len % '.$block_size.') {
+ $_buffer["xor"] = substr($_key, $_start) . $_buffer["xor"];
+ }
+ }
+ return $_ciphertext;
+ ';
+
+ $decrypt = $init_encrypt . '
+ $_plaintext = "";
+ $_ciphertext_len = strlen($_text);
+ $_xor = $self->decryptIV;
+ $_buffer = &$self->debuffer;
+
+ if (strlen($_buffer["xor"])) {
+ for ($_i = 0; $_i < $_ciphertext_len; $_i+= '.$block_size.') {
+ $_block = substr($_text, $_i, '.$block_size.');
+ if (strlen($_block) > strlen($_buffer["xor"])) {
+ $in = $_xor;
+ '.$encrypt_block.'
+ $_xor = $in;
+ $_buffer["xor"].= $_xor;
+ }
+ $_key = $self->_stringShift($_buffer["xor"], '.$block_size.');
+ $_plaintext.= $_block ^ $_key;
+ }
+ } else {
+ for ($_i = 0; $_i < $_ciphertext_len; $_i+= '.$block_size.') {
+ $in = $_xor;
+ '.$encrypt_block.'
+ $_xor = $in;
+ $_plaintext.= substr($_text, $_i, '.$block_size.') ^ $_xor;
+ }
+ $_key = $_xor;
+ }
+ if ($self->continuousBuffer) {
+ $self->decryptIV = $_xor;
+ if ($_start = $_ciphertext_len % '.$block_size.') {
+ $_buffer["xor"] = substr($_key, $_start) . $_buffer["xor"];
+ }
+ }
+ return $_plaintext;
+ ';
+ break;
+ case CRYPT_MODE_STREAM:
+ $encrypt = $init_encrypt . '
+ $_ciphertext = "";
+ '.$encrypt_block.'
+ return $_ciphertext;
+ ';
+ $decrypt = $init_decrypt . '
+ $_plaintext = "";
+ '.$decrypt_block.'
+ return $_plaintext;
+ ';
+ break;
+ // case CRYPT_MODE_CBC:
+ default:
+ $encrypt = $init_encrypt . '
+ $_ciphertext = "";
+ $_text = $self->_pad($_text);
+ $_plaintext_len = strlen($_text);
+
+ $in = $self->encryptIV;
+
+ for ($_i = 0; $_i < $_plaintext_len; $_i+= '.$block_size.') {
+ $in = substr($_text, $_i, '.$block_size.') ^ $in;
+ '.$encrypt_block.'
+ $_ciphertext.= $in;
+ }
+
+ if ($self->continuousBuffer) {
+ $self->encryptIV = $in;
+ }
+
+ return $_ciphertext;
+ ';
+
+ $decrypt = $init_decrypt . '
+ $_plaintext = "";
+ $_text = str_pad($_text, strlen($_text) + ('.$block_size.' - strlen($_text) % '.$block_size.') % '.$block_size.', chr(0));
+ $_ciphertext_len = strlen($_text);
+
+ $_iv = $self->decryptIV;
+
+ for ($_i = 0; $_i < $_ciphertext_len; $_i+= '.$block_size.') {
+ $in = $_block = substr($_text, $_i, '.$block_size.');
+ '.$decrypt_block.'
+ $_plaintext.= $in ^ $_iv;
+ $_iv = $_block;
+ }
+
+ if ($self->continuousBuffer) {
+ $self->decryptIV = $_iv;
+ }
+
+ return $self->_unpad($_plaintext);
+ ';
+ break;
+ }
+
+ // Create the $inline function and return its name as string. Ready to run!
+ return create_function('$_action, &$self, $_text', $init_crypt . 'if ($_action == "encrypt") { ' . $encrypt . ' } else { ' . $decrypt . ' }');
+ }
+
+ /**
+ * Holds the lambda_functions table (classwide)
+ *
+ * Each name of the lambda function, created from
+ * _setupInlineCrypt() && _createInlineCryptFunction()
+ * is stored, classwide (!), here for reusing.
+ *
+ * The string-based index of $function is a classwide
+ * uniqe value representing, at least, the $mode of
+ * operation (or more... depends of the optimizing level)
+ * for which $mode the lambda function was created.
+ *
+ * @access private
+ * @return &Array
+ */
+ function &_getLambdaFunctions()
+ {
+ static $functions = array();
+ return $functions;
+ }
+}
+
+// vim: ts=4:sw=4:et:
+// vim6: fdl=1:
diff --git a/inc/phpseclib/Crypt_Hash.php b/inc/phpseclib/Crypt_Hash.php
new file mode 100644
index 000000000..840fcd508
--- /dev/null
+++ b/inc/phpseclib/Crypt_Hash.php
@@ -0,0 +1,823 @@
+<?php
+/* vim: set expandtab tabstop=4 shiftwidth=4 softtabstop=4: */
+
+/**
+ * Pure-PHP implementations of keyed-hash message authentication codes (HMACs) and various cryptographic hashing functions.
+ *
+ * Uses hash() or mhash() if available and an internal implementation, otherwise. Currently supports the following:
+ *
+ * md2, md5, md5-96, sha1, sha1-96, sha256, sha384, and sha512
+ *
+ * If {@link Crypt_Hash::setKey() setKey()} is called, {@link Crypt_Hash::hash() hash()} will return the HMAC as opposed to
+ * the hash. If no valid algorithm is provided, sha1 will be used.
+ *
+ * PHP versions 4 and 5
+ *
+ * {@internal The variable names are the same as those in
+ * {@link http://tools.ietf.org/html/rfc2104#section-2 RFC2104}.}}
+ *
+ * Here's a short example of how to use this library:
+ * <code>
+ * <?php
+ * include('Crypt/Hash.php');
+ *
+ * $hash = new Crypt_Hash('sha1');
+ *
+ * $hash->setKey('abcdefg');
+ *
+ * echo base64_encode($hash->hash('abcdefg'));
+ * ?>
+ * </code>
+ *
+ * LICENSE: Permission is hereby granted, free of charge, to any person obtaining a copy
+ * of this software and associated documentation files (the "Software"), to deal
+ * in the Software without restriction, including without limitation the rights
+ * to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
+ * copies of the Software, and to permit persons to whom the Software is
+ * furnished to do so, subject to the following conditions:
+ *
+ * The above copyright notice and this permission notice shall be included in
+ * all copies or substantial portions of the Software.
+ *
+ * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
+ * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
+ * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
+ * AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
+ * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
+ * OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
+ * THE SOFTWARE.
+ *
+ * @category Crypt
+ * @package Crypt_Hash
+ * @author Jim Wigginton <terrafrost@php.net>
+ * @copyright MMVII Jim Wigginton
+ * @license http://www.opensource.org/licenses/mit-license.html MIT License
+ * @link http://phpseclib.sourceforge.net
+ */
+
+/**#@+
+ * @access private
+ * @see Crypt_Hash::Crypt_Hash()
+ */
+/**
+ * Toggles the internal implementation
+ */
+define('CRYPT_HASH_MODE_INTERNAL', 1);
+/**
+ * Toggles the mhash() implementation, which has been deprecated on PHP 5.3.0+.
+ */
+define('CRYPT_HASH_MODE_MHASH', 2);
+/**
+ * Toggles the hash() implementation, which works on PHP 5.1.2+.
+ */
+define('CRYPT_HASH_MODE_HASH', 3);
+/**#@-*/
+
+/**
+ * Pure-PHP implementations of keyed-hash message authentication codes (HMACs) and various cryptographic hashing functions.
+ *
+ * @author Jim Wigginton <terrafrost@php.net>
+ * @version 0.1.0
+ * @access public
+ * @package Crypt_Hash
+ */
+class Crypt_Hash {
+ /**
+ * Byte-length of compression blocks / key (Internal HMAC)
+ *
+ * @see Crypt_Hash::setAlgorithm()
+ * @var Integer
+ * @access private
+ */
+ var $b;
+
+ /**
+ * Byte-length of hash output (Internal HMAC)
+ *
+ * @see Crypt_Hash::setHash()
+ * @var Integer
+ * @access private
+ */
+ var $l = false;
+
+ /**
+ * Hash Algorithm
+ *
+ * @see Crypt_Hash::setHash()
+ * @var String
+ * @access private
+ */
+ var $hash;
+
+ /**
+ * Key
+ *
+ * @see Crypt_Hash::setKey()
+ * @var String
+ * @access private
+ */
+ var $key = false;
+
+ /**
+ * Outer XOR (Internal HMAC)
+ *
+ * @see Crypt_Hash::setKey()
+ * @var String
+ * @access private
+ */
+ var $opad;
+
+ /**
+ * Inner XOR (Internal HMAC)
+ *
+ * @see Crypt_Hash::setKey()
+ * @var String
+ * @access private
+ */
+ var $ipad;
+
+ /**
+ * Default Constructor.
+ *
+ * @param optional String $hash
+ * @return Crypt_Hash
+ * @access public
+ */
+ function Crypt_Hash($hash = 'sha1')
+ {
+ if ( !defined('CRYPT_HASH_MODE') ) {
+ switch (true) {
+ case extension_loaded('hash'):
+ define('CRYPT_HASH_MODE', CRYPT_HASH_MODE_HASH);
+ break;
+ case extension_loaded('mhash'):
+ define('CRYPT_HASH_MODE', CRYPT_HASH_MODE_MHASH);
+ break;
+ default:
+ define('CRYPT_HASH_MODE', CRYPT_HASH_MODE_INTERNAL);
+ }
+ }
+
+ $this->setHash($hash);
+ }
+
+ /**
+ * Sets the key for HMACs
+ *
+ * Keys can be of any length.
+ *
+ * @access public
+ * @param optional String $key
+ */
+ function setKey($key = false)
+ {
+ $this->key = $key;
+ }
+
+ /**
+ * Sets the hash function.
+ *
+ * @access public
+ * @param String $hash
+ */
+ function setHash($hash)
+ {
+ $hash = strtolower($hash);
+ switch ($hash) {
+ case 'md5-96':
+ case 'sha1-96':
+ $this->l = 12; // 96 / 8 = 12
+ break;
+ case 'md2':
+ case 'md5':
+ $this->l = 16;
+ break;
+ case 'sha1':
+ $this->l = 20;
+ break;
+ case 'sha256':
+ $this->l = 32;
+ break;
+ case 'sha384':
+ $this->l = 48;
+ break;
+ case 'sha512':
+ $this->l = 64;
+ }
+
+ switch ($hash) {
+ case 'md2':
+ $mode = CRYPT_HASH_MODE == CRYPT_HASH_MODE_HASH && in_array('md2', hash_algos()) ?
+ CRYPT_HASH_MODE_HASH : CRYPT_HASH_MODE_INTERNAL;
+ break;
+ case 'sha384':
+ case 'sha512':
+ $mode = CRYPT_HASH_MODE == CRYPT_HASH_MODE_MHASH ? CRYPT_HASH_MODE_INTERNAL : CRYPT_HASH_MODE;
+ break;
+ default:
+ $mode = CRYPT_HASH_MODE;
+ }
+
+ switch ( $mode ) {
+ case CRYPT_HASH_MODE_MHASH:
+ switch ($hash) {
+ case 'md5':
+ case 'md5-96':
+ $this->hash = MHASH_MD5;
+ break;
+ case 'sha256':
+ $this->hash = MHASH_SHA256;
+ break;
+ case 'sha1':
+ case 'sha1-96':
+ default:
+ $this->hash = MHASH_SHA1;
+ }
+ return;
+ case CRYPT_HASH_MODE_HASH:
+ switch ($hash) {
+ case 'md5':
+ case 'md5-96':
+ $this->hash = 'md5';
+ return;
+ case 'md2':
+ case 'sha256':
+ case 'sha384':
+ case 'sha512':
+ $this->hash = $hash;
+ return;
+ case 'sha1':
+ case 'sha1-96':
+ default:
+ $this->hash = 'sha1';
+ }
+ return;
+ }
+
+ switch ($hash) {
+ case 'md2':
+ $this->b = 16;
+ $this->hash = array($this, '_md2');
+ break;
+ case 'md5':
+ case 'md5-96':
+ $this->b = 64;
+ $this->hash = array($this, '_md5');
+ break;
+ case 'sha256':
+ $this->b = 64;
+ $this->hash = array($this, '_sha256');
+ break;
+ case 'sha384':
+ case 'sha512':
+ $this->b = 128;
+ $this->hash = array($this, '_sha512');
+ break;
+ case 'sha1':
+ case 'sha1-96':
+ default:
+ $this->b = 64;
+ $this->hash = array($this, '_sha1');
+ }
+
+ $this->ipad = str_repeat(chr(0x36), $this->b);
+ $this->opad = str_repeat(chr(0x5C), $this->b);
+ }
+
+ /**
+ * Compute the HMAC.
+ *
+ * @access public
+ * @param String $text
+ * @return String
+ */
+ function hash($text)
+ {
+ $mode = is_array($this->hash) ? CRYPT_HASH_MODE_INTERNAL : CRYPT_HASH_MODE;
+
+ if (!empty($this->key) || is_string($this->key)) {
+ switch ( $mode ) {
+ case CRYPT_HASH_MODE_MHASH:
+ $output = mhash($this->hash, $text, $this->key);
+ break;
+ case CRYPT_HASH_MODE_HASH:
+ $output = hash_hmac($this->hash, $text, $this->key, true);
+ break;
+ case CRYPT_HASH_MODE_INTERNAL:
+ /* "Applications that use keys longer than B bytes will first hash the key using H and then use the
+ resultant L byte string as the actual key to HMAC."
+
+ -- http://tools.ietf.org/html/rfc2104#section-2 */
+ $key = strlen($this->key) > $this->b ? call_user_func($this->hash, $this->key) : $this->key;
+
+ $key = str_pad($key, $this->b, chr(0)); // step 1
+ $temp = $this->ipad ^ $key; // step 2
+ $temp .= $text; // step 3
+ $temp = call_user_func($this->hash, $temp); // step 4
+ $output = $this->opad ^ $key; // step 5
+ $output.= $temp; // step 6
+ $output = call_user_func($this->hash, $output); // step 7
+ }
+ } else {
+ switch ( $mode ) {
+ case CRYPT_HASH_MODE_MHASH:
+ $output = mhash($this->hash, $text);
+ break;
+ case CRYPT_HASH_MODE_HASH:
+ $output = hash($this->hash, $text, true);
+ break;
+ case CRYPT_HASH_MODE_INTERNAL:
+ $output = call_user_func($this->hash, $text);
+ }
+ }
+
+ return substr($output, 0, $this->l);
+ }
+
+ /**
+ * Returns the hash length (in bytes)
+ *
+ * @access public
+ * @return Integer
+ */
+ function getLength()
+ {
+ return $this->l;
+ }
+
+ /**
+ * Wrapper for MD5
+ *
+ * @access private
+ * @param String $m
+ */
+ function _md5($m)
+ {
+ return pack('H*', md5($m));
+ }
+
+ /**
+ * Wrapper for SHA1
+ *
+ * @access private
+ * @param String $m
+ */
+ function _sha1($m)
+ {
+ return pack('H*', sha1($m));
+ }
+
+ /**
+ * Pure-PHP implementation of MD2
+ *
+ * See {@link http://tools.ietf.org/html/rfc1319 RFC1319}.
+ *
+ * @access private
+ * @param String $m
+ */
+ function _md2($m)
+ {
+ static $s = array(
+ 41, 46, 67, 201, 162, 216, 124, 1, 61, 54, 84, 161, 236, 240, 6,
+ 19, 98, 167, 5, 243, 192, 199, 115, 140, 152, 147, 43, 217, 188,
+ 76, 130, 202, 30, 155, 87, 60, 253, 212, 224, 22, 103, 66, 111, 24,
+ 138, 23, 229, 18, 190, 78, 196, 214, 218, 158, 222, 73, 160, 251,
+ 245, 142, 187, 47, 238, 122, 169, 104, 121, 145, 21, 178, 7, 63,
+ 148, 194, 16, 137, 11, 34, 95, 33, 128, 127, 93, 154, 90, 144, 50,
+ 39, 53, 62, 204, 231, 191, 247, 151, 3, 255, 25, 48, 179, 72, 165,
+ 181, 209, 215, 94, 146, 42, 172, 86, 170, 198, 79, 184, 56, 210,
+ 150, 164, 125, 182, 118, 252, 107, 226, 156, 116, 4, 241, 69, 157,
+ 112, 89, 100, 113, 135, 32, 134, 91, 207, 101, 230, 45, 168, 2, 27,
+ 96, 37, 173, 174, 176, 185, 246, 28, 70, 97, 105, 52, 64, 126, 15,
+ 85, 71, 163, 35, 221, 81, 175, 58, 195, 92, 249, 206, 186, 197,
+ 234, 38, 44, 83, 13, 110, 133, 40, 132, 9, 211, 223, 205, 244, 65,
+ 129, 77, 82, 106, 220, 55, 200, 108, 193, 171, 250, 36, 225, 123,
+ 8, 12, 189, 177, 74, 120, 136, 149, 139, 227, 99, 232, 109, 233,
+ 203, 213, 254, 59, 0, 29, 57, 242, 239, 183, 14, 102, 88, 208, 228,
+ 166, 119, 114, 248, 235, 117, 75, 10, 49, 68, 80, 180, 143, 237,
+ 31, 26, 219, 153, 141, 51, 159, 17, 131, 20
+ );
+
+ // Step 1. Append Padding Bytes
+ $pad = 16 - (strlen($m) & 0xF);
+ $m.= str_repeat(chr($pad), $pad);
+
+ $length = strlen($m);
+
+ // Step 2. Append Checksum
+ $c = str_repeat(chr(0), 16);
+ $l = chr(0);
+ for ($i = 0; $i < $length; $i+= 16) {
+ for ($j = 0; $j < 16; $j++) {
+ // RFC1319 incorrectly states that C[j] should be set to S[c xor L]
+ //$c[$j] = chr($s[ord($m[$i + $j] ^ $l)]);
+ // per <http://www.rfc-editor.org/errata_search.php?rfc=1319>, however, C[j] should be set to S[c xor L] xor C[j]
+ $c[$j] = chr($s[ord($m[$i + $j] ^ $l)] ^ ord($c[$j]));
+ $l = $c[$j];
+ }
+ }
+ $m.= $c;
+
+ $length+= 16;
+
+ // Step 3. Initialize MD Buffer
+ $x = str_repeat(chr(0), 48);
+
+ // Step 4. Process Message in 16-Byte Blocks
+ for ($i = 0; $i < $length; $i+= 16) {
+ for ($j = 0; $j < 16; $j++) {
+ $x[$j + 16] = $m[$i + $j];
+ $x[$j + 32] = $x[$j + 16] ^ $x[$j];
+ }
+ $t = chr(0);
+ for ($j = 0; $j < 18; $j++) {
+ for ($k = 0; $k < 48; $k++) {
+ $x[$k] = $t = $x[$k] ^ chr($s[ord($t)]);
+ //$t = $x[$k] = $x[$k] ^ chr($s[ord($t)]);
+ }
+ $t = chr(ord($t) + $j);
+ }
+ }
+
+ // Step 5. Output
+ return substr($x, 0, 16);
+ }
+
+ /**
+ * Pure-PHP implementation of SHA256
+ *
+ * See {@link http://en.wikipedia.org/wiki/SHA_hash_functions#SHA-256_.28a_SHA-2_variant.29_pseudocode SHA-256 (a SHA-2 variant) pseudocode - Wikipedia}.
+ *
+ * @access private
+ * @param String $m
+ */
+ function _sha256($m)
+ {
+ if (extension_loaded('suhosin')) {
+ return pack('H*', sha256($m));
+ }
+
+ // Initialize variables
+ $hash = array(
+ 0x6a09e667, 0xbb67ae85, 0x3c6ef372, 0xa54ff53a, 0x510e527f, 0x9b05688c, 0x1f83d9ab, 0x5be0cd19
+ );
+ // Initialize table of round constants
+ // (first 32 bits of the fractional parts of the cube roots of the first 64 primes 2..311)
+ static $k = array(
+ 0x428a2f98, 0x71374491, 0xb5c0fbcf, 0xe9b5dba5, 0x3956c25b, 0x59f111f1, 0x923f82a4, 0xab1c5ed5,
+ 0xd807aa98, 0x12835b01, 0x243185be, 0x550c7dc3, 0x72be5d74, 0x80deb1fe, 0x9bdc06a7, 0xc19bf174,
+ 0xe49b69c1, 0xefbe4786, 0x0fc19dc6, 0x240ca1cc, 0x2de92c6f, 0x4a7484aa, 0x5cb0a9dc, 0x76f988da,
+ 0x983e5152, 0xa831c66d, 0xb00327c8, 0xbf597fc7, 0xc6e00bf3, 0xd5a79147, 0x06ca6351, 0x14292967,
+ 0x27b70a85, 0x2e1b2138, 0x4d2c6dfc, 0x53380d13, 0x650a7354, 0x766a0abb, 0x81c2c92e, 0x92722c85,
+ 0xa2bfe8a1, 0xa81a664b, 0xc24b8b70, 0xc76c51a3, 0xd192e819, 0xd6990624, 0xf40e3585, 0x106aa070,
+ 0x19a4c116, 0x1e376c08, 0x2748774c, 0x34b0bcb5, 0x391c0cb3, 0x4ed8aa4a, 0x5b9cca4f, 0x682e6ff3,
+ 0x748f82ee, 0x78a5636f, 0x84c87814, 0x8cc70208, 0x90befffa, 0xa4506ceb, 0xbef9a3f7, 0xc67178f2
+ );
+
+ // Pre-processing
+ $length = strlen($m);
+ // to round to nearest 56 mod 64, we'll add 64 - (length + (64 - 56)) % 64
+ $m.= str_repeat(chr(0), 64 - (($length + 8) & 0x3F));
+ $m[$length] = chr(0x80);
+ // we don't support hashing strings 512MB long
+ $m.= pack('N2', 0, $length << 3);
+
+ // Process the message in successive 512-bit chunks
+ $chunks = str_split($m, 64);
+ foreach ($chunks as $chunk) {
+ $w = array();
+ for ($i = 0; $i < 16; $i++) {
+ extract(unpack('Ntemp', $this->_string_shift($chunk, 4)));
+ $w[] = $temp;
+ }
+
+ // Extend the sixteen 32-bit words into sixty-four 32-bit words
+ for ($i = 16; $i < 64; $i++) {
+ $s0 = $this->_rightRotate($w[$i - 15], 7) ^
+ $this->_rightRotate($w[$i - 15], 18) ^
+ $this->_rightShift( $w[$i - 15], 3);
+ $s1 = $this->_rightRotate($w[$i - 2], 17) ^
+ $this->_rightRotate($w[$i - 2], 19) ^
+ $this->_rightShift( $w[$i - 2], 10);
+ $w[$i] = $this->_add($w[$i - 16], $s0, $w[$i - 7], $s1);
+
+ }
+
+ // Initialize hash value for this chunk
+ list($a, $b, $c, $d, $e, $f, $g, $h) = $hash;
+
+ // Main loop
+ for ($i = 0; $i < 64; $i++) {
+ $s0 = $this->_rightRotate($a, 2) ^
+ $this->_rightRotate($a, 13) ^
+ $this->_rightRotate($a, 22);
+ $maj = ($a & $b) ^
+ ($a & $c) ^
+ ($b & $c);
+ $t2 = $this->_add($s0, $maj);
+
+ $s1 = $this->_rightRotate($e, 6) ^
+ $this->_rightRotate($e, 11) ^
+ $this->_rightRotate($e, 25);
+ $ch = ($e & $f) ^
+ ($this->_not($e) & $g);
+ $t1 = $this->_add($h, $s1, $ch, $k[$i], $w[$i]);
+
+ $h = $g;
+ $g = $f;
+ $f = $e;
+ $e = $this->_add($d, $t1);
+ $d = $c;
+ $c = $b;
+ $b = $a;
+ $a = $this->_add($t1, $t2);
+ }
+
+ // Add this chunk's hash to result so far
+ $hash = array(
+ $this->_add($hash[0], $a),
+ $this->_add($hash[1], $b),
+ $this->_add($hash[2], $c),
+ $this->_add($hash[3], $d),
+ $this->_add($hash[4], $e),
+ $this->_add($hash[5], $f),
+ $this->_add($hash[6], $g),
+ $this->_add($hash[7], $h)
+ );
+ }
+
+ // Produce the final hash value (big-endian)
+ return pack('N8', $hash[0], $hash[1], $hash[2], $hash[3], $hash[4], $hash[5], $hash[6], $hash[7]);
+ }
+
+ /**
+ * Pure-PHP implementation of SHA384 and SHA512
+ *
+ * @access private
+ * @param String $m
+ */
+ function _sha512($m)
+ {
+ if (!class_exists('Math_BigInteger')) {
+ require_once('Math/BigInteger.php');
+ }
+
+ static $init384, $init512, $k;
+
+ if (!isset($k)) {
+ // Initialize variables
+ $init384 = array( // initial values for SHA384
+ 'cbbb9d5dc1059ed8', '629a292a367cd507', '9159015a3070dd17', '152fecd8f70e5939',
+ '67332667ffc00b31', '8eb44a8768581511', 'db0c2e0d64f98fa7', '47b5481dbefa4fa4'
+ );
+ $init512 = array( // initial values for SHA512
+ '6a09e667f3bcc908', 'bb67ae8584caa73b', '3c6ef372fe94f82b', 'a54ff53a5f1d36f1',
+ '510e527fade682d1', '9b05688c2b3e6c1f', '1f83d9abfb41bd6b', '5be0cd19137e2179'
+ );
+
+ for ($i = 0; $i < 8; $i++) {
+ $init384[$i] = new Math_BigInteger($init384[$i], 16);
+ $init384[$i]->setPrecision(64);
+ $init512[$i] = new Math_BigInteger($init512[$i], 16);
+ $init512[$i]->setPrecision(64);
+ }
+
+ // Initialize table of round constants
+ // (first 64 bits of the fractional parts of the cube roots of the first 80 primes 2..409)
+ $k = array(
+ '428a2f98d728ae22', '7137449123ef65cd', 'b5c0fbcfec4d3b2f', 'e9b5dba58189dbbc',
+ '3956c25bf348b538', '59f111f1b605d019', '923f82a4af194f9b', 'ab1c5ed5da6d8118',
+ 'd807aa98a3030242', '12835b0145706fbe', '243185be4ee4b28c', '550c7dc3d5ffb4e2',
+ '72be5d74f27b896f', '80deb1fe3b1696b1', '9bdc06a725c71235', 'c19bf174cf692694',
+ 'e49b69c19ef14ad2', 'efbe4786384f25e3', '0fc19dc68b8cd5b5', '240ca1cc77ac9c65',
+ '2de92c6f592b0275', '4a7484aa6ea6e483', '5cb0a9dcbd41fbd4', '76f988da831153b5',
+ '983e5152ee66dfab', 'a831c66d2db43210', 'b00327c898fb213f', 'bf597fc7beef0ee4',
+ 'c6e00bf33da88fc2', 'd5a79147930aa725', '06ca6351e003826f', '142929670a0e6e70',
+ '27b70a8546d22ffc', '2e1b21385c26c926', '4d2c6dfc5ac42aed', '53380d139d95b3df',
+ '650a73548baf63de', '766a0abb3c77b2a8', '81c2c92e47edaee6', '92722c851482353b',
+ 'a2bfe8a14cf10364', 'a81a664bbc423001', 'c24b8b70d0f89791', 'c76c51a30654be30',
+ 'd192e819d6ef5218', 'd69906245565a910', 'f40e35855771202a', '106aa07032bbd1b8',
+ '19a4c116b8d2d0c8', '1e376c085141ab53', '2748774cdf8eeb99', '34b0bcb5e19b48a8',
+ '391c0cb3c5c95a63', '4ed8aa4ae3418acb', '5b9cca4f7763e373', '682e6ff3d6b2b8a3',
+ '748f82ee5defb2fc', '78a5636f43172f60', '84c87814a1f0ab72', '8cc702081a6439ec',
+ '90befffa23631e28', 'a4506cebde82bde9', 'bef9a3f7b2c67915', 'c67178f2e372532b',
+ 'ca273eceea26619c', 'd186b8c721c0c207', 'eada7dd6cde0eb1e', 'f57d4f7fee6ed178',
+ '06f067aa72176fba', '0a637dc5a2c898a6', '113f9804bef90dae', '1b710b35131c471b',
+ '28db77f523047d84', '32caab7b40c72493', '3c9ebe0a15c9bebc', '431d67c49c100d4c',
+ '4cc5d4becb3e42b6', '597f299cfc657e2a', '5fcb6fab3ad6faec', '6c44198c4a475817'
+ );
+
+ for ($i = 0; $i < 80; $i++) {
+ $k[$i] = new Math_BigInteger($k[$i], 16);
+ }
+ }
+
+ $hash = $this->l == 48 ? $init384 : $init512;
+
+ // Pre-processing
+ $length = strlen($m);
+ // to round to nearest 112 mod 128, we'll add 128 - (length + (128 - 112)) % 128
+ $m.= str_repeat(chr(0), 128 - (($length + 16) & 0x7F));
+ $m[$length] = chr(0x80);
+ // we don't support hashing strings 512MB long
+ $m.= pack('N4', 0, 0, 0, $length << 3);
+
+ // Process the message in successive 1024-bit chunks
+ $chunks = str_split($m, 128);
+ foreach ($chunks as $chunk) {
+ $w = array();
+ for ($i = 0; $i < 16; $i++) {
+ $temp = new Math_BigInteger($this->_string_shift($chunk, 8), 256);
+ $temp->setPrecision(64);
+ $w[] = $temp;
+ }
+
+ // Extend the sixteen 32-bit words into eighty 32-bit words
+ for ($i = 16; $i < 80; $i++) {
+ $temp = array(
+ $w[$i - 15]->bitwise_rightRotate(1),
+ $w[$i - 15]->bitwise_rightRotate(8),
+ $w[$i - 15]->bitwise_rightShift(7)
+ );
+ $s0 = $temp[0]->bitwise_xor($temp[1]);
+ $s0 = $s0->bitwise_xor($temp[2]);
+ $temp = array(
+ $w[$i - 2]->bitwise_rightRotate(19),
+ $w[$i - 2]->bitwise_rightRotate(61),
+ $w[$i - 2]->bitwise_rightShift(6)
+ );
+ $s1 = $temp[0]->bitwise_xor($temp[1]);
+ $s1 = $s1->bitwise_xor($temp[2]);
+ $w[$i] = $w[$i - 16]->copy();
+ $w[$i] = $w[$i]->add($s0);
+ $w[$i] = $w[$i]->add($w[$i - 7]);
+ $w[$i] = $w[$i]->add($s1);
+ }
+
+ // Initialize hash value for this chunk
+ $a = $hash[0]->copy();
+ $b = $hash[1]->copy();
+ $c = $hash[2]->copy();
+ $d = $hash[3]->copy();
+ $e = $hash[4]->copy();
+ $f = $hash[5]->copy();
+ $g = $hash[6]->copy();
+ $h = $hash[7]->copy();
+
+ // Main loop
+ for ($i = 0; $i < 80; $i++) {
+ $temp = array(
+ $a->bitwise_rightRotate(28),
+ $a->bitwise_rightRotate(34),
+ $a->bitwise_rightRotate(39)
+ );
+ $s0 = $temp[0]->bitwise_xor($temp[1]);
+ $s0 = $s0->bitwise_xor($temp[2]);
+ $temp = array(
+ $a->bitwise_and($b),
+ $a->bitwise_and($c),
+ $b->bitwise_and($c)
+ );
+ $maj = $temp[0]->bitwise_xor($temp[1]);
+ $maj = $maj->bitwise_xor($temp[2]);
+ $t2 = $s0->add($maj);
+
+ $temp = array(
+ $e->bitwise_rightRotate(14),
+ $e->bitwise_rightRotate(18),
+ $e->bitwise_rightRotate(41)
+ );
+ $s1 = $temp[0]->bitwise_xor($temp[1]);
+ $s1 = $s1->bitwise_xor($temp[2]);
+ $temp = array(
+ $e->bitwise_and($f),
+ $g->bitwise_and($e->bitwise_not())
+ );
+ $ch = $temp[0]->bitwise_xor($temp[1]);
+ $t1 = $h->add($s1);
+ $t1 = $t1->add($ch);
+ $t1 = $t1->add($k[$i]);
+ $t1 = $t1->add($w[$i]);
+
+ $h = $g->copy();
+ $g = $f->copy();
+ $f = $e->copy();
+ $e = $d->add($t1);
+ $d = $c->copy();
+ $c = $b->copy();
+ $b = $a->copy();
+ $a = $t1->add($t2);
+ }
+
+ // Add this chunk's hash to result so far
+ $hash = array(
+ $hash[0]->add($a),
+ $hash[1]->add($b),
+ $hash[2]->add($c),
+ $hash[3]->add($d),
+ $hash[4]->add($e),
+ $hash[5]->add($f),
+ $hash[6]->add($g),
+ $hash[7]->add($h)
+ );
+ }
+
+ // Produce the final hash value (big-endian)
+ // (Crypt_Hash::hash() trims the output for hashes but not for HMACs. as such, we trim the output here)
+ $temp = $hash[0]->toBytes() . $hash[1]->toBytes() . $hash[2]->toBytes() . $hash[3]->toBytes() .
+ $hash[4]->toBytes() . $hash[5]->toBytes();
+ if ($this->l != 48) {
+ $temp.= $hash[6]->toBytes() . $hash[7]->toBytes();
+ }
+
+ return $temp;
+ }
+
+ /**
+ * Right Rotate
+ *
+ * @access private
+ * @param Integer $int
+ * @param Integer $amt
+ * @see _sha256()
+ * @return Integer
+ */
+ function _rightRotate($int, $amt)
+ {
+ $invamt = 32 - $amt;
+ $mask = (1 << $invamt) - 1;
+ return (($int << $invamt) & 0xFFFFFFFF) | (($int >> $amt) & $mask);
+ }
+
+ /**
+ * Right Shift
+ *
+ * @access private
+ * @param Integer $int
+ * @param Integer $amt
+ * @see _sha256()
+ * @return Integer
+ */
+ function _rightShift($int, $amt)
+ {
+ $mask = (1 << (32 - $amt)) - 1;
+ return ($int >> $amt) & $mask;
+ }
+
+ /**
+ * Not
+ *
+ * @access private
+ * @param Integer $int
+ * @see _sha256()
+ * @return Integer
+ */
+ function _not($int)
+ {
+ return ~$int & 0xFFFFFFFF;
+ }
+
+ /**
+ * Add
+ *
+ * _sha256() adds multiple unsigned 32-bit integers. Since PHP doesn't support unsigned integers and since the
+ * possibility of overflow exists, care has to be taken. Math_BigInteger() could be used but this should be faster.
+ *
+ * @param Integer $...
+ * @return Integer
+ * @see _sha256()
+ * @access private
+ */
+ function _add()
+ {
+ static $mod;
+ if (!isset($mod)) {
+ $mod = pow(2, 32);
+ }
+
+ $result = 0;
+ $arguments = func_get_args();
+ foreach ($arguments as $argument) {
+ $result+= $argument < 0 ? ($argument & 0x7FFFFFFF) + 0x80000000 : $argument;
+ }
+
+ return fmod($result, $mod);
+ }
+
+ /**
+ * String Shift
+ *
+ * Inspired by array_shift
+ *
+ * @param String $string
+ * @param optional Integer $index
+ * @return String
+ * @access private
+ */
+ function _string_shift(&$string, $index = 1)
+ {
+ $substr = substr($string, 0, $index);
+ $string = substr($string, $index);
+ return $substr;
+ }
+}
diff --git a/inc/phpseclib/Crypt_Rijndael.php b/inc/phpseclib/Crypt_Rijndael.php
new file mode 100644
index 000000000..c63e0ff7e
--- /dev/null
+++ b/inc/phpseclib/Crypt_Rijndael.php
@@ -0,0 +1,1374 @@
+<?php
+/* vim: set expandtab tabstop=4 shiftwidth=4 softtabstop=4: */
+
+/**
+ * Pure-PHP implementation of Rijndael.
+ *
+ * Uses mcrypt, if available/possible, and an internal implementation, otherwise.
+ *
+ * PHP versions 4 and 5
+ *
+ * If {@link Crypt_Rijndael::setBlockLength() setBlockLength()} isn't called, it'll be assumed to be 128 bits. If
+ * {@link Crypt_Rijndael::setKeyLength() setKeyLength()} isn't called, it'll be calculated from
+ * {@link Crypt_Rijndael::setKey() setKey()}. ie. if the key is 128-bits, the key length will be 128-bits. If it's
+ * 136-bits it'll be null-padded to 192-bits and 192 bits will be the key length until
+ * {@link Crypt_Rijndael::setKey() setKey()} is called, again, at which point, it'll be recalculated.
+ *
+ * Not all Rijndael implementations may support 160-bits or 224-bits as the block length / key length. mcrypt, for example,
+ * does not. AES, itself, only supports block lengths of 128 and key lengths of 128, 192, and 256.
+ * {@link http://csrc.nist.gov/archive/aes/rijndael/Rijndael-ammended.pdf#page=10 Rijndael-ammended.pdf#page=10} defines the
+ * algorithm for block lengths of 192 and 256 but not for block lengths / key lengths of 160 and 224. Indeed, 160 and 224
+ * are first defined as valid key / block lengths in
+ * {@link http://csrc.nist.gov/archive/aes/rijndael/Rijndael-ammended.pdf#page=44 Rijndael-ammended.pdf#page=44}:
+ * Extensions: Other block and Cipher Key lengths.
+ * Note: Use of 160/224-bit Keys must be explicitly set by setKeyLength(160) respectively setKeyLength(224).
+ *
+ * {@internal The variable names are the same as those in
+ * {@link http://www.csrc.nist.gov/publications/fips/fips197/fips-197.pdf#page=10 fips-197.pdf#page=10}.}}
+ *
+ * Here's a short example of how to use this library:
+ * <code>
+ * <?php
+ * include('Crypt/Rijndael.php');
+ *
+ * $rijndael = new Crypt_Rijndael();
+ *
+ * $rijndael->setKey('abcdefghijklmnop');
+ *
+ * $size = 10 * 1024;
+ * $plaintext = '';
+ * for ($i = 0; $i < $size; $i++) {
+ * $plaintext.= 'a';
+ * }
+ *
+ * echo $rijndael->decrypt($rijndael->encrypt($plaintext));
+ * ?>
+ * </code>
+ *
+ * LICENSE: Permission is hereby granted, free of charge, to any person obtaining a copy
+ * of this software and associated documentation files (the "Software"), to deal
+ * in the Software without restriction, including without limitation the rights
+ * to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
+ * copies of the Software, and to permit persons to whom the Software is
+ * furnished to do so, subject to the following conditions:
+ *
+ * The above copyright notice and this permission notice shall be included in
+ * all copies or substantial portions of the Software.
+ *
+ * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
+ * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
+ * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
+ * AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
+ * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
+ * OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
+ * THE SOFTWARE.
+ *
+ * @category Crypt
+ * @package Crypt_Rijndael
+ * @author Jim Wigginton <terrafrost@php.net>
+ * @copyright MMVIII Jim Wigginton
+ * @license http://www.opensource.org/licenses/mit-license.html MIT License
+ * @link http://phpseclib.sourceforge.net
+ */
+
+/**
+ * Include Crypt_Base
+ *
+ * Base cipher class
+ */
+if (!class_exists('Crypt_Base')) {
+ require_once('Base.php');
+}
+
+/**#@+
+ * @access public
+ * @see Crypt_Rijndael::encrypt()
+ * @see Crypt_Rijndael::decrypt()
+ */
+/**
+ * Encrypt / decrypt using the Counter mode.
+ *
+ * Set to -1 since that's what Crypt/Random.php uses to index the CTR mode.
+ *
+ * @link http://en.wikipedia.org/wiki/Block_cipher_modes_of_operation#Counter_.28CTR.29
+ */
+define('CRYPT_RIJNDAEL_MODE_CTR', CRYPT_MODE_CTR);
+/**
+ * Encrypt / decrypt using the Electronic Code Book mode.
+ *
+ * @link http://en.wikipedia.org/wiki/Block_cipher_modes_of_operation#Electronic_codebook_.28ECB.29
+ */
+define('CRYPT_RIJNDAEL_MODE_ECB', CRYPT_MODE_ECB);
+/**
+ * Encrypt / decrypt using the Code Book Chaining mode.
+ *
+ * @link http://en.wikipedia.org/wiki/Block_cipher_modes_of_operation#Cipher-block_chaining_.28CBC.29
+ */
+define('CRYPT_RIJNDAEL_MODE_CBC', CRYPT_MODE_CBC);
+/**
+ * Encrypt / decrypt using the Cipher Feedback mode.
+ *
+ * @link http://en.wikipedia.org/wiki/Block_cipher_modes_of_operation#Cipher_feedback_.28CFB.29
+ */
+define('CRYPT_RIJNDAEL_MODE_CFB', CRYPT_MODE_CFB);
+/**
+ * Encrypt / decrypt using the Cipher Feedback mode.
+ *
+ * @link http://en.wikipedia.org/wiki/Block_cipher_modes_of_operation#Output_feedback_.28OFB.29
+ */
+define('CRYPT_RIJNDAEL_MODE_OFB', CRYPT_MODE_OFB);
+/**#@-*/
+
+/**#@+
+ * @access private
+ * @see Crypt_Rijndael::Crypt_Rijndael()
+ */
+/**
+ * Toggles the internal implementation
+ */
+define('CRYPT_RIJNDAEL_MODE_INTERNAL', CRYPT_MODE_INTERNAL);
+/**
+ * Toggles the mcrypt implementation
+ */
+define('CRYPT_RIJNDAEL_MODE_MCRYPT', CRYPT_MODE_MCRYPT);
+/**#@-*/
+
+/**
+ * Pure-PHP implementation of Rijndael.
+ *
+ * @author Jim Wigginton <terrafrost@php.net>
+ * @version 0.1.0
+ * @access public
+ * @package Crypt_Rijndael
+ */
+class Crypt_Rijndael extends Crypt_Base {
+ /**
+ * The default password key_size used by setPassword()
+ *
+ * @see Crypt_Base::password_key_size
+ * @see Crypt_Base::setPassword()
+ * @var Integer
+ * @access private
+ */
+ var $password_key_size = 16;
+
+ /**
+ * The namespace used by the cipher for its constants.
+ *
+ * @see Crypt_Base::const_namespace
+ * @var String
+ * @access private
+ */
+ var $const_namespace = 'RIJNDAEL';
+
+ /**
+ * The mcrypt specific name of the cipher
+ *
+ * Mcrypt is useable for 128/192/256-bit $block_size/$key_size. For 160/224 not.
+ * Crypt_Rijndael determines automatically whether mcrypt is useable
+ * or not for the current $block_size/$key_size.
+ * In case of, $cipher_name_mcrypt will be set dynamicaly at run time accordingly.
+ *
+ * @see Crypt_Base::cipher_name_mcrypt
+ * @see Crypt_Base::engine
+ * @see _setupEngine()
+ * @var String
+ * @access private
+ */
+ var $cipher_name_mcrypt = 'rijndael-128';
+
+ /**
+ * The default salt used by setPassword()
+ *
+ * @see Crypt_Base::password_default_salt
+ * @see Crypt_Base::setPassword()
+ * @var String
+ * @access private
+ */
+ var $password_default_salt = 'phpseclib';
+
+ /**
+ * Has the key length explicitly been set or should it be derived from the key, itself?
+ *
+ * @see setKeyLength()
+ * @var Boolean
+ * @access private
+ */
+ var $explicit_key_length = false;
+
+ /**
+ * The Key Schedule
+ *
+ * @see _setup()
+ * @var Array
+ * @access private
+ */
+ var $w;
+
+ /**
+ * The Inverse Key Schedule
+ *
+ * @see _setup()
+ * @var Array
+ * @access private
+ */
+ var $dw;
+
+ /**
+ * The Block Length divided by 32
+ *
+ * @see setBlockLength()
+ * @var Integer
+ * @access private
+ * @internal The max value is 256 / 32 = 8, the min value is 128 / 32 = 4. Exists in conjunction with $block_size
+ * because the encryption / decryption / key schedule creation requires this number and not $block_size. We could
+ * derive this from $block_size or vice versa, but that'd mean we'd have to do multiple shift operations, so in lieu
+ * of that, we'll just precompute it once.
+ *
+ */
+ var $Nb = 4;
+
+ /**
+ * The Key Length
+ *
+ * @see setKeyLength()
+ * @var Integer
+ * @access private
+ * @internal The max value is 256 / 8 = 32, the min value is 128 / 8 = 16. Exists in conjunction with $Nk
+ * because the encryption / decryption / key schedule creation requires this number and not $key_size. We could
+ * derive this from $key_size or vice versa, but that'd mean we'd have to do multiple shift operations, so in lieu
+ * of that, we'll just precompute it once.
+ */
+ var $key_size = 16;
+
+ /**
+ * The Key Length divided by 32
+ *
+ * @see setKeyLength()
+ * @var Integer
+ * @access private
+ * @internal The max value is 256 / 32 = 8, the min value is 128 / 32 = 4
+ */
+ var $Nk = 4;
+
+ /**
+ * The Number of Rounds
+ *
+ * @var Integer
+ * @access private
+ * @internal The max value is 14, the min value is 10.
+ */
+ var $Nr;
+
+ /**
+ * Shift offsets
+ *
+ * @var Array
+ * @access private
+ */
+ var $c;
+
+ /**
+ * Holds the last used key- and block_size information
+ *
+ * @var Array
+ * @access private
+ */
+ var $kl;
+
+ /**
+ * Precomputed mixColumns table
+ *
+ * According to <http://csrc.nist.gov/archive/aes/rijndael/Rijndael-ammended.pdf#page=19> (section 5.2.1),
+ * precomputed tables can be used in the mixColumns phase. in that example, they're assigned t0...t3, so
+ * those are the names we'll use.
+ *
+ * @see Crypt_Rijndael:_encryptBlock()
+ * @see Crypt_Rijndael:_decryptBlock()
+ * @var Array
+ * @access private
+ */
+ var $t0 = array(
+ 0xC66363A5, 0xF87C7C84, 0xEE777799, 0xF67B7B8D, 0xFFF2F20D, 0xD66B6BBD, 0xDE6F6FB1, 0x91C5C554,
+ 0x60303050, 0x02010103, 0xCE6767A9, 0x562B2B7D, 0xE7FEFE19, 0xB5D7D762, 0x4DABABE6, 0xEC76769A,
+ 0x8FCACA45, 0x1F82829D, 0x89C9C940, 0xFA7D7D87, 0xEFFAFA15, 0xB25959EB, 0x8E4747C9, 0xFBF0F00B,
+ 0x41ADADEC, 0xB3D4D467, 0x5FA2A2FD, 0x45AFAFEA, 0x239C9CBF, 0x53A4A4F7, 0xE4727296, 0x9BC0C05B,
+ 0x75B7B7C2, 0xE1FDFD1C, 0x3D9393AE, 0x4C26266A, 0x6C36365A, 0x7E3F3F41, 0xF5F7F702, 0x83CCCC4F,
+ 0x6834345C, 0x51A5A5F4, 0xD1E5E534, 0xF9F1F108, 0xE2717193, 0xABD8D873, 0x62313153, 0x2A15153F,
+ 0x0804040C, 0x95C7C752, 0x46232365, 0x9DC3C35E, 0x30181828, 0x379696A1, 0x0A05050F, 0x2F9A9AB5,
+ 0x0E070709, 0x24121236, 0x1B80809B, 0xDFE2E23D, 0xCDEBEB26, 0x4E272769, 0x7FB2B2CD, 0xEA75759F,
+ 0x1209091B, 0x1D83839E, 0x582C2C74, 0x341A1A2E, 0x361B1B2D, 0xDC6E6EB2, 0xB45A5AEE, 0x5BA0A0FB,
+ 0xA45252F6, 0x763B3B4D, 0xB7D6D661, 0x7DB3B3CE, 0x5229297B, 0xDDE3E33E, 0x5E2F2F71, 0x13848497,
+ 0xA65353F5, 0xB9D1D168, 0x00000000, 0xC1EDED2C, 0x40202060, 0xE3FCFC1F, 0x79B1B1C8, 0xB65B5BED,
+ 0xD46A6ABE, 0x8DCBCB46, 0x67BEBED9, 0x7239394B, 0x944A4ADE, 0x984C4CD4, 0xB05858E8, 0x85CFCF4A,
+ 0xBBD0D06B, 0xC5EFEF2A, 0x4FAAAAE5, 0xEDFBFB16, 0x864343C5, 0x9A4D4DD7, 0x66333355, 0x11858594,
+ 0x8A4545CF, 0xE9F9F910, 0x04020206, 0xFE7F7F81, 0xA05050F0, 0x783C3C44, 0x259F9FBA, 0x4BA8A8E3,
+ 0xA25151F3, 0x5DA3A3FE, 0x804040C0, 0x058F8F8A, 0x3F9292AD, 0x219D9DBC, 0x70383848, 0xF1F5F504,
+ 0x63BCBCDF, 0x77B6B6C1, 0xAFDADA75, 0x42212163, 0x20101030, 0xE5FFFF1A, 0xFDF3F30E, 0xBFD2D26D,
+ 0x81CDCD4C, 0x180C0C14, 0x26131335, 0xC3ECEC2F, 0xBE5F5FE1, 0x359797A2, 0x884444CC, 0x2E171739,
+ 0x93C4C457, 0x55A7A7F2, 0xFC7E7E82, 0x7A3D3D47, 0xC86464AC, 0xBA5D5DE7, 0x3219192B, 0xE6737395,
+ 0xC06060A0, 0x19818198, 0x9E4F4FD1, 0xA3DCDC7F, 0x44222266, 0x542A2A7E, 0x3B9090AB, 0x0B888883,
+ 0x8C4646CA, 0xC7EEEE29, 0x6BB8B8D3, 0x2814143C, 0xA7DEDE79, 0xBC5E5EE2, 0x160B0B1D, 0xADDBDB76,
+ 0xDBE0E03B, 0x64323256, 0x743A3A4E, 0x140A0A1E, 0x924949DB, 0x0C06060A, 0x4824246C, 0xB85C5CE4,
+ 0x9FC2C25D, 0xBDD3D36E, 0x43ACACEF, 0xC46262A6, 0x399191A8, 0x319595A4, 0xD3E4E437, 0xF279798B,
+ 0xD5E7E732, 0x8BC8C843, 0x6E373759, 0xDA6D6DB7, 0x018D8D8C, 0xB1D5D564, 0x9C4E4ED2, 0x49A9A9E0,
+ 0xD86C6CB4, 0xAC5656FA, 0xF3F4F407, 0xCFEAEA25, 0xCA6565AF, 0xF47A7A8E, 0x47AEAEE9, 0x10080818,
+ 0x6FBABAD5, 0xF0787888, 0x4A25256F, 0x5C2E2E72, 0x381C1C24, 0x57A6A6F1, 0x73B4B4C7, 0x97C6C651,
+ 0xCBE8E823, 0xA1DDDD7C, 0xE874749C, 0x3E1F1F21, 0x964B4BDD, 0x61BDBDDC, 0x0D8B8B86, 0x0F8A8A85,
+ 0xE0707090, 0x7C3E3E42, 0x71B5B5C4, 0xCC6666AA, 0x904848D8, 0x06030305, 0xF7F6F601, 0x1C0E0E12,
+ 0xC26161A3, 0x6A35355F, 0xAE5757F9, 0x69B9B9D0, 0x17868691, 0x99C1C158, 0x3A1D1D27, 0x279E9EB9,
+ 0xD9E1E138, 0xEBF8F813, 0x2B9898B3, 0x22111133, 0xD26969BB, 0xA9D9D970, 0x078E8E89, 0x339494A7,
+ 0x2D9B9BB6, 0x3C1E1E22, 0x15878792, 0xC9E9E920, 0x87CECE49, 0xAA5555FF, 0x50282878, 0xA5DFDF7A,
+ 0x038C8C8F, 0x59A1A1F8, 0x09898980, 0x1A0D0D17, 0x65BFBFDA, 0xD7E6E631, 0x844242C6, 0xD06868B8,
+ 0x824141C3, 0x299999B0, 0x5A2D2D77, 0x1E0F0F11, 0x7BB0B0CB, 0xA85454FC, 0x6DBBBBD6, 0x2C16163A
+ );
+
+ /**
+ * Precomputed mixColumns table
+ *
+ * @see Crypt_Rijndael:_encryptBlock()
+ * @see Crypt_Rijndael:_decryptBlock()
+ * @var Array
+ * @access private
+ */
+ var $t1 = array(
+ 0xA5C66363, 0x84F87C7C, 0x99EE7777, 0x8DF67B7B, 0x0DFFF2F2, 0xBDD66B6B, 0xB1DE6F6F, 0x5491C5C5,
+ 0x50603030, 0x03020101, 0xA9CE6767, 0x7D562B2B, 0x19E7FEFE, 0x62B5D7D7, 0xE64DABAB, 0x9AEC7676,
+ 0x458FCACA, 0x9D1F8282, 0x4089C9C9, 0x87FA7D7D, 0x15EFFAFA, 0xEBB25959, 0xC98E4747, 0x0BFBF0F0,
+ 0xEC41ADAD, 0x67B3D4D4, 0xFD5FA2A2, 0xEA45AFAF, 0xBF239C9C, 0xF753A4A4, 0x96E47272, 0x5B9BC0C0,
+ 0xC275B7B7, 0x1CE1FDFD, 0xAE3D9393, 0x6A4C2626, 0x5A6C3636, 0x417E3F3F, 0x02F5F7F7, 0x4F83CCCC,
+ 0x5C683434, 0xF451A5A5, 0x34D1E5E5, 0x08F9F1F1, 0x93E27171, 0x73ABD8D8, 0x53623131, 0x3F2A1515,
+ 0x0C080404, 0x5295C7C7, 0x65462323, 0x5E9DC3C3, 0x28301818, 0xA1379696, 0x0F0A0505, 0xB52F9A9A,
+ 0x090E0707, 0x36241212, 0x9B1B8080, 0x3DDFE2E2, 0x26CDEBEB, 0x694E2727, 0xCD7FB2B2, 0x9FEA7575,
+ 0x1B120909, 0x9E1D8383, 0x74582C2C, 0x2E341A1A, 0x2D361B1B, 0xB2DC6E6E, 0xEEB45A5A, 0xFB5BA0A0,
+ 0xF6A45252, 0x4D763B3B, 0x61B7D6D6, 0xCE7DB3B3, 0x7B522929, 0x3EDDE3E3, 0x715E2F2F, 0x97138484,
+ 0xF5A65353, 0x68B9D1D1, 0x00000000, 0x2CC1EDED, 0x60402020, 0x1FE3FCFC, 0xC879B1B1, 0xEDB65B5B,
+ 0xBED46A6A, 0x468DCBCB, 0xD967BEBE, 0x4B723939, 0xDE944A4A, 0xD4984C4C, 0xE8B05858, 0x4A85CFCF,
+ 0x6BBBD0D0, 0x2AC5EFEF, 0xE54FAAAA, 0x16EDFBFB, 0xC5864343, 0xD79A4D4D, 0x55663333, 0x94118585,
+ 0xCF8A4545, 0x10E9F9F9, 0x06040202, 0x81FE7F7F, 0xF0A05050, 0x44783C3C, 0xBA259F9F, 0xE34BA8A8,
+ 0xF3A25151, 0xFE5DA3A3, 0xC0804040, 0x8A058F8F, 0xAD3F9292, 0xBC219D9D, 0x48703838, 0x04F1F5F5,
+ 0xDF63BCBC, 0xC177B6B6, 0x75AFDADA, 0x63422121, 0x30201010, 0x1AE5FFFF, 0x0EFDF3F3, 0x6DBFD2D2,
+ 0x4C81CDCD, 0x14180C0C, 0x35261313, 0x2FC3ECEC, 0xE1BE5F5F, 0xA2359797, 0xCC884444, 0x392E1717,
+ 0x5793C4C4, 0xF255A7A7, 0x82FC7E7E, 0x477A3D3D, 0xACC86464, 0xE7BA5D5D, 0x2B321919, 0x95E67373,
+ 0xA0C06060, 0x98198181, 0xD19E4F4F, 0x7FA3DCDC, 0x66442222, 0x7E542A2A, 0xAB3B9090, 0x830B8888,
+ 0xCA8C4646, 0x29C7EEEE, 0xD36BB8B8, 0x3C281414, 0x79A7DEDE, 0xE2BC5E5E, 0x1D160B0B, 0x76ADDBDB,
+ 0x3BDBE0E0, 0x56643232, 0x4E743A3A, 0x1E140A0A, 0xDB924949, 0x0A0C0606, 0x6C482424, 0xE4B85C5C,
+ 0x5D9FC2C2, 0x6EBDD3D3, 0xEF43ACAC, 0xA6C46262, 0xA8399191, 0xA4319595, 0x37D3E4E4, 0x8BF27979,
+ 0x32D5E7E7, 0x438BC8C8, 0x596E3737, 0xB7DA6D6D, 0x8C018D8D, 0x64B1D5D5, 0xD29C4E4E, 0xE049A9A9,
+ 0xB4D86C6C, 0xFAAC5656, 0x07F3F4F4, 0x25CFEAEA, 0xAFCA6565, 0x8EF47A7A, 0xE947AEAE, 0x18100808,
+ 0xD56FBABA, 0x88F07878, 0x6F4A2525, 0x725C2E2E, 0x24381C1C, 0xF157A6A6, 0xC773B4B4, 0x5197C6C6,
+ 0x23CBE8E8, 0x7CA1DDDD, 0x9CE87474, 0x213E1F1F, 0xDD964B4B, 0xDC61BDBD, 0x860D8B8B, 0x850F8A8A,
+ 0x90E07070, 0x427C3E3E, 0xC471B5B5, 0xAACC6666, 0xD8904848, 0x05060303, 0x01F7F6F6, 0x121C0E0E,
+ 0xA3C26161, 0x5F6A3535, 0xF9AE5757, 0xD069B9B9, 0x91178686, 0x5899C1C1, 0x273A1D1D, 0xB9279E9E,
+ 0x38D9E1E1, 0x13EBF8F8, 0xB32B9898, 0x33221111, 0xBBD26969, 0x70A9D9D9, 0x89078E8E, 0xA7339494,
+ 0xB62D9B9B, 0x223C1E1E, 0x92158787, 0x20C9E9E9, 0x4987CECE, 0xFFAA5555, 0x78502828, 0x7AA5DFDF,
+ 0x8F038C8C, 0xF859A1A1, 0x80098989, 0x171A0D0D, 0xDA65BFBF, 0x31D7E6E6, 0xC6844242, 0xB8D06868,
+ 0xC3824141, 0xB0299999, 0x775A2D2D, 0x111E0F0F, 0xCB7BB0B0, 0xFCA85454, 0xD66DBBBB, 0x3A2C1616
+ );
+
+ /**
+ * Precomputed mixColumns table
+ *
+ * @see Crypt_Rijndael:_encryptBlock()
+ * @see Crypt_Rijndael:_decryptBlock()
+ * @var Array
+ * @access private
+ */
+ var $t2 = array(
+ 0x63A5C663, 0x7C84F87C, 0x7799EE77, 0x7B8DF67B, 0xF20DFFF2, 0x6BBDD66B, 0x6FB1DE6F, 0xC55491C5,
+ 0x30506030, 0x01030201, 0x67A9CE67, 0x2B7D562B, 0xFE19E7FE, 0xD762B5D7, 0xABE64DAB, 0x769AEC76,
+ 0xCA458FCA, 0x829D1F82, 0xC94089C9, 0x7D87FA7D, 0xFA15EFFA, 0x59EBB259, 0x47C98E47, 0xF00BFBF0,
+ 0xADEC41AD, 0xD467B3D4, 0xA2FD5FA2, 0xAFEA45AF, 0x9CBF239C, 0xA4F753A4, 0x7296E472, 0xC05B9BC0,
+ 0xB7C275B7, 0xFD1CE1FD, 0x93AE3D93, 0x266A4C26, 0x365A6C36, 0x3F417E3F, 0xF702F5F7, 0xCC4F83CC,
+ 0x345C6834, 0xA5F451A5, 0xE534D1E5, 0xF108F9F1, 0x7193E271, 0xD873ABD8, 0x31536231, 0x153F2A15,
+ 0x040C0804, 0xC75295C7, 0x23654623, 0xC35E9DC3, 0x18283018, 0x96A13796, 0x050F0A05, 0x9AB52F9A,
+ 0x07090E07, 0x12362412, 0x809B1B80, 0xE23DDFE2, 0xEB26CDEB, 0x27694E27, 0xB2CD7FB2, 0x759FEA75,
+ 0x091B1209, 0x839E1D83, 0x2C74582C, 0x1A2E341A, 0x1B2D361B, 0x6EB2DC6E, 0x5AEEB45A, 0xA0FB5BA0,
+ 0x52F6A452, 0x3B4D763B, 0xD661B7D6, 0xB3CE7DB3, 0x297B5229, 0xE33EDDE3, 0x2F715E2F, 0x84971384,
+ 0x53F5A653, 0xD168B9D1, 0x00000000, 0xED2CC1ED, 0x20604020, 0xFC1FE3FC, 0xB1C879B1, 0x5BEDB65B,
+ 0x6ABED46A, 0xCB468DCB, 0xBED967BE, 0x394B7239, 0x4ADE944A, 0x4CD4984C, 0x58E8B058, 0xCF4A85CF,
+ 0xD06BBBD0, 0xEF2AC5EF, 0xAAE54FAA, 0xFB16EDFB, 0x43C58643, 0x4DD79A4D, 0x33556633, 0x85941185,
+ 0x45CF8A45, 0xF910E9F9, 0x02060402, 0x7F81FE7F, 0x50F0A050, 0x3C44783C, 0x9FBA259F, 0xA8E34BA8,
+ 0x51F3A251, 0xA3FE5DA3, 0x40C08040, 0x8F8A058F, 0x92AD3F92, 0x9DBC219D, 0x38487038, 0xF504F1F5,
+ 0xBCDF63BC, 0xB6C177B6, 0xDA75AFDA, 0x21634221, 0x10302010, 0xFF1AE5FF, 0xF30EFDF3, 0xD26DBFD2,
+ 0xCD4C81CD, 0x0C14180C, 0x13352613, 0xEC2FC3EC, 0x5FE1BE5F, 0x97A23597, 0x44CC8844, 0x17392E17,
+ 0xC45793C4, 0xA7F255A7, 0x7E82FC7E, 0x3D477A3D, 0x64ACC864, 0x5DE7BA5D, 0x192B3219, 0x7395E673,
+ 0x60A0C060, 0x81981981, 0x4FD19E4F, 0xDC7FA3DC, 0x22664422, 0x2A7E542A, 0x90AB3B90, 0x88830B88,
+ 0x46CA8C46, 0xEE29C7EE, 0xB8D36BB8, 0x143C2814, 0xDE79A7DE, 0x5EE2BC5E, 0x0B1D160B, 0xDB76ADDB,
+ 0xE03BDBE0, 0x32566432, 0x3A4E743A, 0x0A1E140A, 0x49DB9249, 0x060A0C06, 0x246C4824, 0x5CE4B85C,
+ 0xC25D9FC2, 0xD36EBDD3, 0xACEF43AC, 0x62A6C462, 0x91A83991, 0x95A43195, 0xE437D3E4, 0x798BF279,
+ 0xE732D5E7, 0xC8438BC8, 0x37596E37, 0x6DB7DA6D, 0x8D8C018D, 0xD564B1D5, 0x4ED29C4E, 0xA9E049A9,
+ 0x6CB4D86C, 0x56FAAC56, 0xF407F3F4, 0xEA25CFEA, 0x65AFCA65, 0x7A8EF47A, 0xAEE947AE, 0x08181008,
+ 0xBAD56FBA, 0x7888F078, 0x256F4A25, 0x2E725C2E, 0x1C24381C, 0xA6F157A6, 0xB4C773B4, 0xC65197C6,
+ 0xE823CBE8, 0xDD7CA1DD, 0x749CE874, 0x1F213E1F, 0x4BDD964B, 0xBDDC61BD, 0x8B860D8B, 0x8A850F8A,
+ 0x7090E070, 0x3E427C3E, 0xB5C471B5, 0x66AACC66, 0x48D89048, 0x03050603, 0xF601F7F6, 0x0E121C0E,
+ 0x61A3C261, 0x355F6A35, 0x57F9AE57, 0xB9D069B9, 0x86911786, 0xC15899C1, 0x1D273A1D, 0x9EB9279E,
+ 0xE138D9E1, 0xF813EBF8, 0x98B32B98, 0x11332211, 0x69BBD269, 0xD970A9D9, 0x8E89078E, 0x94A73394,
+ 0x9BB62D9B, 0x1E223C1E, 0x87921587, 0xE920C9E9, 0xCE4987CE, 0x55FFAA55, 0x28785028, 0xDF7AA5DF,
+ 0x8C8F038C, 0xA1F859A1, 0x89800989, 0x0D171A0D, 0xBFDA65BF, 0xE631D7E6, 0x42C68442, 0x68B8D068,
+ 0x41C38241, 0x99B02999, 0x2D775A2D, 0x0F111E0F, 0xB0CB7BB0, 0x54FCA854, 0xBBD66DBB, 0x163A2C16
+ );
+
+ /**
+ * Precomputed mixColumns table
+ *
+ * @see Crypt_Rijndael:_encryptBlock()
+ * @see Crypt_Rijndael:_decryptBlock()
+ * @var Array
+ * @access private
+ */
+ var $t3 = array(
+ 0x6363A5C6, 0x7C7C84F8, 0x777799EE, 0x7B7B8DF6, 0xF2F20DFF, 0x6B6BBDD6, 0x6F6FB1DE, 0xC5C55491,
+ 0x30305060, 0x01010302, 0x6767A9CE, 0x2B2B7D56, 0xFEFE19E7, 0xD7D762B5, 0xABABE64D, 0x76769AEC,
+ 0xCACA458F, 0x82829D1F, 0xC9C94089, 0x7D7D87FA, 0xFAFA15EF, 0x5959EBB2, 0x4747C98E, 0xF0F00BFB,
+ 0xADADEC41, 0xD4D467B3, 0xA2A2FD5F, 0xAFAFEA45, 0x9C9CBF23, 0xA4A4F753, 0x727296E4, 0xC0C05B9B,
+ 0xB7B7C275, 0xFDFD1CE1, 0x9393AE3D, 0x26266A4C, 0x36365A6C, 0x3F3F417E, 0xF7F702F5, 0xCCCC4F83,
+ 0x34345C68, 0xA5A5F451, 0xE5E534D1, 0xF1F108F9, 0x717193E2, 0xD8D873AB, 0x31315362, 0x15153F2A,
+ 0x04040C08, 0xC7C75295, 0x23236546, 0xC3C35E9D, 0x18182830, 0x9696A137, 0x05050F0A, 0x9A9AB52F,
+ 0x0707090E, 0x12123624, 0x80809B1B, 0xE2E23DDF, 0xEBEB26CD, 0x2727694E, 0xB2B2CD7F, 0x75759FEA,
+ 0x09091B12, 0x83839E1D, 0x2C2C7458, 0x1A1A2E34, 0x1B1B2D36, 0x6E6EB2DC, 0x5A5AEEB4, 0xA0A0FB5B,
+ 0x5252F6A4, 0x3B3B4D76, 0xD6D661B7, 0xB3B3CE7D, 0x29297B52, 0xE3E33EDD, 0x2F2F715E, 0x84849713,
+ 0x5353F5A6, 0xD1D168B9, 0x00000000, 0xEDED2CC1, 0x20206040, 0xFCFC1FE3, 0xB1B1C879, 0x5B5BEDB6,
+ 0x6A6ABED4, 0xCBCB468D, 0xBEBED967, 0x39394B72, 0x4A4ADE94, 0x4C4CD498, 0x5858E8B0, 0xCFCF4A85,
+ 0xD0D06BBB, 0xEFEF2AC5, 0xAAAAE54F, 0xFBFB16ED, 0x4343C586, 0x4D4DD79A, 0x33335566, 0x85859411,
+ 0x4545CF8A, 0xF9F910E9, 0x02020604, 0x7F7F81FE, 0x5050F0A0, 0x3C3C4478, 0x9F9FBA25, 0xA8A8E34B,
+ 0x5151F3A2, 0xA3A3FE5D, 0x4040C080, 0x8F8F8A05, 0x9292AD3F, 0x9D9DBC21, 0x38384870, 0xF5F504F1,
+ 0xBCBCDF63, 0xB6B6C177, 0xDADA75AF, 0x21216342, 0x10103020, 0xFFFF1AE5, 0xF3F30EFD, 0xD2D26DBF,
+ 0xCDCD4C81, 0x0C0C1418, 0x13133526, 0xECEC2FC3, 0x5F5FE1BE, 0x9797A235, 0x4444CC88, 0x1717392E,
+ 0xC4C45793, 0xA7A7F255, 0x7E7E82FC, 0x3D3D477A, 0x6464ACC8, 0x5D5DE7BA, 0x19192B32, 0x737395E6,
+ 0x6060A0C0, 0x81819819, 0x4F4FD19E, 0xDCDC7FA3, 0x22226644, 0x2A2A7E54, 0x9090AB3B, 0x8888830B,
+ 0x4646CA8C, 0xEEEE29C7, 0xB8B8D36B, 0x14143C28, 0xDEDE79A7, 0x5E5EE2BC, 0x0B0B1D16, 0xDBDB76AD,
+ 0xE0E03BDB, 0x32325664, 0x3A3A4E74, 0x0A0A1E14, 0x4949DB92, 0x06060A0C, 0x24246C48, 0x5C5CE4B8,
+ 0xC2C25D9F, 0xD3D36EBD, 0xACACEF43, 0x6262A6C4, 0x9191A839, 0x9595A431, 0xE4E437D3, 0x79798BF2,
+ 0xE7E732D5, 0xC8C8438B, 0x3737596E, 0x6D6DB7DA, 0x8D8D8C01, 0xD5D564B1, 0x4E4ED29C, 0xA9A9E049,
+ 0x6C6CB4D8, 0x5656FAAC, 0xF4F407F3, 0xEAEA25CF, 0x6565AFCA, 0x7A7A8EF4, 0xAEAEE947, 0x08081810,
+ 0xBABAD56F, 0x787888F0, 0x25256F4A, 0x2E2E725C, 0x1C1C2438, 0xA6A6F157, 0xB4B4C773, 0xC6C65197,
+ 0xE8E823CB, 0xDDDD7CA1, 0x74749CE8, 0x1F1F213E, 0x4B4BDD96, 0xBDBDDC61, 0x8B8B860D, 0x8A8A850F,
+ 0x707090E0, 0x3E3E427C, 0xB5B5C471, 0x6666AACC, 0x4848D890, 0x03030506, 0xF6F601F7, 0x0E0E121C,
+ 0x6161A3C2, 0x35355F6A, 0x5757F9AE, 0xB9B9D069, 0x86869117, 0xC1C15899, 0x1D1D273A, 0x9E9EB927,
+ 0xE1E138D9, 0xF8F813EB, 0x9898B32B, 0x11113322, 0x6969BBD2, 0xD9D970A9, 0x8E8E8907, 0x9494A733,
+ 0x9B9BB62D, 0x1E1E223C, 0x87879215, 0xE9E920C9, 0xCECE4987, 0x5555FFAA, 0x28287850, 0xDFDF7AA5,
+ 0x8C8C8F03, 0xA1A1F859, 0x89898009, 0x0D0D171A, 0xBFBFDA65, 0xE6E631D7, 0x4242C684, 0x6868B8D0,
+ 0x4141C382, 0x9999B029, 0x2D2D775A, 0x0F0F111E, 0xB0B0CB7B, 0x5454FCA8, 0xBBBBD66D, 0x16163A2C
+ );
+
+ /**
+ * Precomputed invMixColumns table
+ *
+ * @see Crypt_Rijndael:_encryptBlock()
+ * @see Crypt_Rijndael:_decryptBlock()
+ * @var Array
+ * @access private
+ */
+ var $dt0 = array(
+ 0x51F4A750, 0x7E416553, 0x1A17A4C3, 0x3A275E96, 0x3BAB6BCB, 0x1F9D45F1, 0xACFA58AB, 0x4BE30393,
+ 0x2030FA55, 0xAD766DF6, 0x88CC7691, 0xF5024C25, 0x4FE5D7FC, 0xC52ACBD7, 0x26354480, 0xB562A38F,
+ 0xDEB15A49, 0x25BA1B67, 0x45EA0E98, 0x5DFEC0E1, 0xC32F7502, 0x814CF012, 0x8D4697A3, 0x6BD3F9C6,
+ 0x038F5FE7, 0x15929C95, 0xBF6D7AEB, 0x955259DA, 0xD4BE832D, 0x587421D3, 0x49E06929, 0x8EC9C844,
+ 0x75C2896A, 0xF48E7978, 0x99583E6B, 0x27B971DD, 0xBEE14FB6, 0xF088AD17, 0xC920AC66, 0x7DCE3AB4,
+ 0x63DF4A18, 0xE51A3182, 0x97513360, 0x62537F45, 0xB16477E0, 0xBB6BAE84, 0xFE81A01C, 0xF9082B94,
+ 0x70486858, 0x8F45FD19, 0x94DE6C87, 0x527BF8B7, 0xAB73D323, 0x724B02E2, 0xE31F8F57, 0x6655AB2A,
+ 0xB2EB2807, 0x2FB5C203, 0x86C57B9A, 0xD33708A5, 0x302887F2, 0x23BFA5B2, 0x02036ABA, 0xED16825C,
+ 0x8ACF1C2B, 0xA779B492, 0xF307F2F0, 0x4E69E2A1, 0x65DAF4CD, 0x0605BED5, 0xD134621F, 0xC4A6FE8A,
+ 0x342E539D, 0xA2F355A0, 0x058AE132, 0xA4F6EB75, 0x0B83EC39, 0x4060EFAA, 0x5E719F06, 0xBD6E1051,
+ 0x3E218AF9, 0x96DD063D, 0xDD3E05AE, 0x4DE6BD46, 0x91548DB5, 0x71C45D05, 0x0406D46F, 0x605015FF,
+ 0x1998FB24, 0xD6BDE997, 0x894043CC, 0x67D99E77, 0xB0E842BD, 0x07898B88, 0xE7195B38, 0x79C8EEDB,
+ 0xA17C0A47, 0x7C420FE9, 0xF8841EC9, 0x00000000, 0x09808683, 0x322BED48, 0x1E1170AC, 0x6C5A724E,
+ 0xFD0EFFFB, 0x0F853856, 0x3DAED51E, 0x362D3927, 0x0A0FD964, 0x685CA621, 0x9B5B54D1, 0x24362E3A,
+ 0x0C0A67B1, 0x9357E70F, 0xB4EE96D2, 0x1B9B919E, 0x80C0C54F, 0x61DC20A2, 0x5A774B69, 0x1C121A16,
+ 0xE293BA0A, 0xC0A02AE5, 0x3C22E043, 0x121B171D, 0x0E090D0B, 0xF28BC7AD, 0x2DB6A8B9, 0x141EA9C8,
+ 0x57F11985, 0xAF75074C, 0xEE99DDBB, 0xA37F60FD, 0xF701269F, 0x5C72F5BC, 0x44663BC5, 0x5BFB7E34,
+ 0x8B432976, 0xCB23C6DC, 0xB6EDFC68, 0xB8E4F163, 0xD731DCCA, 0x42638510, 0x13972240, 0x84C61120,
+ 0x854A247D, 0xD2BB3DF8, 0xAEF93211, 0xC729A16D, 0x1D9E2F4B, 0xDCB230F3, 0x0D8652EC, 0x77C1E3D0,
+ 0x2BB3166C, 0xA970B999, 0x119448FA, 0x47E96422, 0xA8FC8CC4, 0xA0F03F1A, 0x567D2CD8, 0x223390EF,
+ 0x87494EC7, 0xD938D1C1, 0x8CCAA2FE, 0x98D40B36, 0xA6F581CF, 0xA57ADE28, 0xDAB78E26, 0x3FADBFA4,
+ 0x2C3A9DE4, 0x5078920D, 0x6A5FCC9B, 0x547E4662, 0xF68D13C2, 0x90D8B8E8, 0x2E39F75E, 0x82C3AFF5,
+ 0x9F5D80BE, 0x69D0937C, 0x6FD52DA9, 0xCF2512B3, 0xC8AC993B, 0x10187DA7, 0xE89C636E, 0xDB3BBB7B,
+ 0xCD267809, 0x6E5918F4, 0xEC9AB701, 0x834F9AA8, 0xE6956E65, 0xAAFFE67E, 0x21BCCF08, 0xEF15E8E6,
+ 0xBAE79BD9, 0x4A6F36CE, 0xEA9F09D4, 0x29B07CD6, 0x31A4B2AF, 0x2A3F2331, 0xC6A59430, 0x35A266C0,
+ 0x744EBC37, 0xFC82CAA6, 0xE090D0B0, 0x33A7D815, 0xF104984A, 0x41ECDAF7, 0x7FCD500E, 0x1791F62F,
+ 0x764DD68D, 0x43EFB04D, 0xCCAA4D54, 0xE49604DF, 0x9ED1B5E3, 0x4C6A881B, 0xC12C1FB8, 0x4665517F,
+ 0x9D5EEA04, 0x018C355D, 0xFA877473, 0xFB0B412E, 0xB3671D5A, 0x92DBD252, 0xE9105633, 0x6DD64713,
+ 0x9AD7618C, 0x37A10C7A, 0x59F8148E, 0xEB133C89, 0xCEA927EE, 0xB761C935, 0xE11CE5ED, 0x7A47B13C,
+ 0x9CD2DF59, 0x55F2733F, 0x1814CE79, 0x73C737BF, 0x53F7CDEA, 0x5FFDAA5B, 0xDF3D6F14, 0x7844DB86,
+ 0xCAAFF381, 0xB968C43E, 0x3824342C, 0xC2A3405F, 0x161DC372, 0xBCE2250C, 0x283C498B, 0xFF0D9541,
+ 0x39A80171, 0x080CB3DE, 0xD8B4E49C, 0x6456C190, 0x7BCB8461, 0xD532B670, 0x486C5C74, 0xD0B85742
+ );
+
+ /**
+ * Precomputed invMixColumns table
+ *
+ * @see Crypt_Rijndael:_encryptBlock()
+ * @see Crypt_Rijndael:_decryptBlock()
+ * @var Array
+ * @access private
+ */
+ var $dt1 = array(
+ 0x5051F4A7, 0x537E4165, 0xC31A17A4, 0x963A275E, 0xCB3BAB6B, 0xF11F9D45, 0xABACFA58, 0x934BE303,
+ 0x552030FA, 0xF6AD766D, 0x9188CC76, 0x25F5024C, 0xFC4FE5D7, 0xD7C52ACB, 0x80263544, 0x8FB562A3,
+ 0x49DEB15A, 0x6725BA1B, 0x9845EA0E, 0xE15DFEC0, 0x02C32F75, 0x12814CF0, 0xA38D4697, 0xC66BD3F9,
+ 0xE7038F5F, 0x9515929C, 0xEBBF6D7A, 0xDA955259, 0x2DD4BE83, 0xD3587421, 0x2949E069, 0x448EC9C8,
+ 0x6A75C289, 0x78F48E79, 0x6B99583E, 0xDD27B971, 0xB6BEE14F, 0x17F088AD, 0x66C920AC, 0xB47DCE3A,
+ 0x1863DF4A, 0x82E51A31, 0x60975133, 0x4562537F, 0xE0B16477, 0x84BB6BAE, 0x1CFE81A0, 0x94F9082B,
+ 0x58704868, 0x198F45FD, 0x8794DE6C, 0xB7527BF8, 0x23AB73D3, 0xE2724B02, 0x57E31F8F, 0x2A6655AB,
+ 0x07B2EB28, 0x032FB5C2, 0x9A86C57B, 0xA5D33708, 0xF2302887, 0xB223BFA5, 0xBA02036A, 0x5CED1682,
+ 0x2B8ACF1C, 0x92A779B4, 0xF0F307F2, 0xA14E69E2, 0xCD65DAF4, 0xD50605BE, 0x1FD13462, 0x8AC4A6FE,
+ 0x9D342E53, 0xA0A2F355, 0x32058AE1, 0x75A4F6EB, 0x390B83EC, 0xAA4060EF, 0x065E719F, 0x51BD6E10,
+ 0xF93E218A, 0x3D96DD06, 0xAEDD3E05, 0x464DE6BD, 0xB591548D, 0x0571C45D, 0x6F0406D4, 0xFF605015,
+ 0x241998FB, 0x97D6BDE9, 0xCC894043, 0x7767D99E, 0xBDB0E842, 0x8807898B, 0x38E7195B, 0xDB79C8EE,
+ 0x47A17C0A, 0xE97C420F, 0xC9F8841E, 0x00000000, 0x83098086, 0x48322BED, 0xAC1E1170, 0x4E6C5A72,
+ 0xFBFD0EFF, 0x560F8538, 0x1E3DAED5, 0x27362D39, 0x640A0FD9, 0x21685CA6, 0xD19B5B54, 0x3A24362E,
+ 0xB10C0A67, 0x0F9357E7, 0xD2B4EE96, 0x9E1B9B91, 0x4F80C0C5, 0xA261DC20, 0x695A774B, 0x161C121A,
+ 0x0AE293BA, 0xE5C0A02A, 0x433C22E0, 0x1D121B17, 0x0B0E090D, 0xADF28BC7, 0xB92DB6A8, 0xC8141EA9,
+ 0x8557F119, 0x4CAF7507, 0xBBEE99DD, 0xFDA37F60, 0x9FF70126, 0xBC5C72F5, 0xC544663B, 0x345BFB7E,
+ 0x768B4329, 0xDCCB23C6, 0x68B6EDFC, 0x63B8E4F1, 0xCAD731DC, 0x10426385, 0x40139722, 0x2084C611,
+ 0x7D854A24, 0xF8D2BB3D, 0x11AEF932, 0x6DC729A1, 0x4B1D9E2F, 0xF3DCB230, 0xEC0D8652, 0xD077C1E3,
+ 0x6C2BB316, 0x99A970B9, 0xFA119448, 0x2247E964, 0xC4A8FC8C, 0x1AA0F03F, 0xD8567D2C, 0xEF223390,
+ 0xC787494E, 0xC1D938D1, 0xFE8CCAA2, 0x3698D40B, 0xCFA6F581, 0x28A57ADE, 0x26DAB78E, 0xA43FADBF,
+ 0xE42C3A9D, 0x0D507892, 0x9B6A5FCC, 0x62547E46, 0xC2F68D13, 0xE890D8B8, 0x5E2E39F7, 0xF582C3AF,
+ 0xBE9F5D80, 0x7C69D093, 0xA96FD52D, 0xB3CF2512, 0x3BC8AC99, 0xA710187D, 0x6EE89C63, 0x7BDB3BBB,
+ 0x09CD2678, 0xF46E5918, 0x01EC9AB7, 0xA8834F9A, 0x65E6956E, 0x7EAAFFE6, 0x0821BCCF, 0xE6EF15E8,
+ 0xD9BAE79B, 0xCE4A6F36, 0xD4EA9F09, 0xD629B07C, 0xAF31A4B2, 0x312A3F23, 0x30C6A594, 0xC035A266,
+ 0x37744EBC, 0xA6FC82CA, 0xB0E090D0, 0x1533A7D8, 0x4AF10498, 0xF741ECDA, 0x0E7FCD50, 0x2F1791F6,
+ 0x8D764DD6, 0x4D43EFB0, 0x54CCAA4D, 0xDFE49604, 0xE39ED1B5, 0x1B4C6A88, 0xB8C12C1F, 0x7F466551,
+ 0x049D5EEA, 0x5D018C35, 0x73FA8774, 0x2EFB0B41, 0x5AB3671D, 0x5292DBD2, 0x33E91056, 0x136DD647,
+ 0x8C9AD761, 0x7A37A10C, 0x8E59F814, 0x89EB133C, 0xEECEA927, 0x35B761C9, 0xEDE11CE5, 0x3C7A47B1,
+ 0x599CD2DF, 0x3F55F273, 0x791814CE, 0xBF73C737, 0xEA53F7CD, 0x5B5FFDAA, 0x14DF3D6F, 0x867844DB,
+ 0x81CAAFF3, 0x3EB968C4, 0x2C382434, 0x5FC2A340, 0x72161DC3, 0x0CBCE225, 0x8B283C49, 0x41FF0D95,
+ 0x7139A801, 0xDE080CB3, 0x9CD8B4E4, 0x906456C1, 0x617BCB84, 0x70D532B6, 0x74486C5C, 0x42D0B857
+ );
+
+ /**
+ * Precomputed invMixColumns table
+ *
+ * @see Crypt_Rijndael:_encryptBlock()
+ * @see Crypt_Rijndael:_decryptBlock()
+ * @var Array
+ * @access private
+ */
+ var $dt2 = array(
+ 0xA75051F4, 0x65537E41, 0xA4C31A17, 0x5E963A27, 0x6BCB3BAB, 0x45F11F9D, 0x58ABACFA, 0x03934BE3,
+ 0xFA552030, 0x6DF6AD76, 0x769188CC, 0x4C25F502, 0xD7FC4FE5, 0xCBD7C52A, 0x44802635, 0xA38FB562,
+ 0x5A49DEB1, 0x1B6725BA, 0x0E9845EA, 0xC0E15DFE, 0x7502C32F, 0xF012814C, 0x97A38D46, 0xF9C66BD3,
+ 0x5FE7038F, 0x9C951592, 0x7AEBBF6D, 0x59DA9552, 0x832DD4BE, 0x21D35874, 0x692949E0, 0xC8448EC9,
+ 0x896A75C2, 0x7978F48E, 0x3E6B9958, 0x71DD27B9, 0x4FB6BEE1, 0xAD17F088, 0xAC66C920, 0x3AB47DCE,
+ 0x4A1863DF, 0x3182E51A, 0x33609751, 0x7F456253, 0x77E0B164, 0xAE84BB6B, 0xA01CFE81, 0x2B94F908,
+ 0x68587048, 0xFD198F45, 0x6C8794DE, 0xF8B7527B, 0xD323AB73, 0x02E2724B, 0x8F57E31F, 0xAB2A6655,
+ 0x2807B2EB, 0xC2032FB5, 0x7B9A86C5, 0x08A5D337, 0x87F23028, 0xA5B223BF, 0x6ABA0203, 0x825CED16,
+ 0x1C2B8ACF, 0xB492A779, 0xF2F0F307, 0xE2A14E69, 0xF4CD65DA, 0xBED50605, 0x621FD134, 0xFE8AC4A6,
+ 0x539D342E, 0x55A0A2F3, 0xE132058A, 0xEB75A4F6, 0xEC390B83, 0xEFAA4060, 0x9F065E71, 0x1051BD6E,
+ 0x8AF93E21, 0x063D96DD, 0x05AEDD3E, 0xBD464DE6, 0x8DB59154, 0x5D0571C4, 0xD46F0406, 0x15FF6050,
+ 0xFB241998, 0xE997D6BD, 0x43CC8940, 0x9E7767D9, 0x42BDB0E8, 0x8B880789, 0x5B38E719, 0xEEDB79C8,
+ 0x0A47A17C, 0x0FE97C42, 0x1EC9F884, 0x00000000, 0x86830980, 0xED48322B, 0x70AC1E11, 0x724E6C5A,
+ 0xFFFBFD0E, 0x38560F85, 0xD51E3DAE, 0x3927362D, 0xD9640A0F, 0xA621685C, 0x54D19B5B, 0x2E3A2436,
+ 0x67B10C0A, 0xE70F9357, 0x96D2B4EE, 0x919E1B9B, 0xC54F80C0, 0x20A261DC, 0x4B695A77, 0x1A161C12,
+ 0xBA0AE293, 0x2AE5C0A0, 0xE0433C22, 0x171D121B, 0x0D0B0E09, 0xC7ADF28B, 0xA8B92DB6, 0xA9C8141E,
+ 0x198557F1, 0x074CAF75, 0xDDBBEE99, 0x60FDA37F, 0x269FF701, 0xF5BC5C72, 0x3BC54466, 0x7E345BFB,
+ 0x29768B43, 0xC6DCCB23, 0xFC68B6ED, 0xF163B8E4, 0xDCCAD731, 0x85104263, 0x22401397, 0x112084C6,
+ 0x247D854A, 0x3DF8D2BB, 0x3211AEF9, 0xA16DC729, 0x2F4B1D9E, 0x30F3DCB2, 0x52EC0D86, 0xE3D077C1,
+ 0x166C2BB3, 0xB999A970, 0x48FA1194, 0x642247E9, 0x8CC4A8FC, 0x3F1AA0F0, 0x2CD8567D, 0x90EF2233,
+ 0x4EC78749, 0xD1C1D938, 0xA2FE8CCA, 0x0B3698D4, 0x81CFA6F5, 0xDE28A57A, 0x8E26DAB7, 0xBFA43FAD,
+ 0x9DE42C3A, 0x920D5078, 0xCC9B6A5F, 0x4662547E, 0x13C2F68D, 0xB8E890D8, 0xF75E2E39, 0xAFF582C3,
+ 0x80BE9F5D, 0x937C69D0, 0x2DA96FD5, 0x12B3CF25, 0x993BC8AC, 0x7DA71018, 0x636EE89C, 0xBB7BDB3B,
+ 0x7809CD26, 0x18F46E59, 0xB701EC9A, 0x9AA8834F, 0x6E65E695, 0xE67EAAFF, 0xCF0821BC, 0xE8E6EF15,
+ 0x9BD9BAE7, 0x36CE4A6F, 0x09D4EA9F, 0x7CD629B0, 0xB2AF31A4, 0x23312A3F, 0x9430C6A5, 0x66C035A2,
+ 0xBC37744E, 0xCAA6FC82, 0xD0B0E090, 0xD81533A7, 0x984AF104, 0xDAF741EC, 0x500E7FCD, 0xF62F1791,
+ 0xD68D764D, 0xB04D43EF, 0x4D54CCAA, 0x04DFE496, 0xB5E39ED1, 0x881B4C6A, 0x1FB8C12C, 0x517F4665,
+ 0xEA049D5E, 0x355D018C, 0x7473FA87, 0x412EFB0B, 0x1D5AB367, 0xD25292DB, 0x5633E910, 0x47136DD6,
+ 0x618C9AD7, 0x0C7A37A1, 0x148E59F8, 0x3C89EB13, 0x27EECEA9, 0xC935B761, 0xE5EDE11C, 0xB13C7A47,
+ 0xDF599CD2, 0x733F55F2, 0xCE791814, 0x37BF73C7, 0xCDEA53F7, 0xAA5B5FFD, 0x6F14DF3D, 0xDB867844,
+ 0xF381CAAF, 0xC43EB968, 0x342C3824, 0x405FC2A3, 0xC372161D, 0x250CBCE2, 0x498B283C, 0x9541FF0D,
+ 0x017139A8, 0xB3DE080C, 0xE49CD8B4, 0xC1906456, 0x84617BCB, 0xB670D532, 0x5C74486C, 0x5742D0B8
+ );
+
+ /**
+ * Precomputed invMixColumns table
+ *
+ * @see Crypt_Rijndael:_encryptBlock()
+ * @see Crypt_Rijndael:_decryptBlock()
+ * @var Array
+ * @access private
+ */
+ var $dt3 = array(
+ 0xF4A75051, 0x4165537E, 0x17A4C31A, 0x275E963A, 0xAB6BCB3B, 0x9D45F11F, 0xFA58ABAC, 0xE303934B,
+ 0x30FA5520, 0x766DF6AD, 0xCC769188, 0x024C25F5, 0xE5D7FC4F, 0x2ACBD7C5, 0x35448026, 0x62A38FB5,
+ 0xB15A49DE, 0xBA1B6725, 0xEA0E9845, 0xFEC0E15D, 0x2F7502C3, 0x4CF01281, 0x4697A38D, 0xD3F9C66B,
+ 0x8F5FE703, 0x929C9515, 0x6D7AEBBF, 0x5259DA95, 0xBE832DD4, 0x7421D358, 0xE0692949, 0xC9C8448E,
+ 0xC2896A75, 0x8E7978F4, 0x583E6B99, 0xB971DD27, 0xE14FB6BE, 0x88AD17F0, 0x20AC66C9, 0xCE3AB47D,
+ 0xDF4A1863, 0x1A3182E5, 0x51336097, 0x537F4562, 0x6477E0B1, 0x6BAE84BB, 0x81A01CFE, 0x082B94F9,
+ 0x48685870, 0x45FD198F, 0xDE6C8794, 0x7BF8B752, 0x73D323AB, 0x4B02E272, 0x1F8F57E3, 0x55AB2A66,
+ 0xEB2807B2, 0xB5C2032F, 0xC57B9A86, 0x3708A5D3, 0x2887F230, 0xBFA5B223, 0x036ABA02, 0x16825CED,
+ 0xCF1C2B8A, 0x79B492A7, 0x07F2F0F3, 0x69E2A14E, 0xDAF4CD65, 0x05BED506, 0x34621FD1, 0xA6FE8AC4,
+ 0x2E539D34, 0xF355A0A2, 0x8AE13205, 0xF6EB75A4, 0x83EC390B, 0x60EFAA40, 0x719F065E, 0x6E1051BD,
+ 0x218AF93E, 0xDD063D96, 0x3E05AEDD, 0xE6BD464D, 0x548DB591, 0xC45D0571, 0x06D46F04, 0x5015FF60,
+ 0x98FB2419, 0xBDE997D6, 0x4043CC89, 0xD99E7767, 0xE842BDB0, 0x898B8807, 0x195B38E7, 0xC8EEDB79,
+ 0x7C0A47A1, 0x420FE97C, 0x841EC9F8, 0x00000000, 0x80868309, 0x2BED4832, 0x1170AC1E, 0x5A724E6C,
+ 0x0EFFFBFD, 0x8538560F, 0xAED51E3D, 0x2D392736, 0x0FD9640A, 0x5CA62168, 0x5B54D19B, 0x362E3A24,
+ 0x0A67B10C, 0x57E70F93, 0xEE96D2B4, 0x9B919E1B, 0xC0C54F80, 0xDC20A261, 0x774B695A, 0x121A161C,
+ 0x93BA0AE2, 0xA02AE5C0, 0x22E0433C, 0x1B171D12, 0x090D0B0E, 0x8BC7ADF2, 0xB6A8B92D, 0x1EA9C814,
+ 0xF1198557, 0x75074CAF, 0x99DDBBEE, 0x7F60FDA3, 0x01269FF7, 0x72F5BC5C, 0x663BC544, 0xFB7E345B,
+ 0x4329768B, 0x23C6DCCB, 0xEDFC68B6, 0xE4F163B8, 0x31DCCAD7, 0x63851042, 0x97224013, 0xC6112084,
+ 0x4A247D85, 0xBB3DF8D2, 0xF93211AE, 0x29A16DC7, 0x9E2F4B1D, 0xB230F3DC, 0x8652EC0D, 0xC1E3D077,
+ 0xB3166C2B, 0x70B999A9, 0x9448FA11, 0xE9642247, 0xFC8CC4A8, 0xF03F1AA0, 0x7D2CD856, 0x3390EF22,
+ 0x494EC787, 0x38D1C1D9, 0xCAA2FE8C, 0xD40B3698, 0xF581CFA6, 0x7ADE28A5, 0xB78E26DA, 0xADBFA43F,
+ 0x3A9DE42C, 0x78920D50, 0x5FCC9B6A, 0x7E466254, 0x8D13C2F6, 0xD8B8E890, 0x39F75E2E, 0xC3AFF582,
+ 0x5D80BE9F, 0xD0937C69, 0xD52DA96F, 0x2512B3CF, 0xAC993BC8, 0x187DA710, 0x9C636EE8, 0x3BBB7BDB,
+ 0x267809CD, 0x5918F46E, 0x9AB701EC, 0x4F9AA883, 0x956E65E6, 0xFFE67EAA, 0xBCCF0821, 0x15E8E6EF,
+ 0xE79BD9BA, 0x6F36CE4A, 0x9F09D4EA, 0xB07CD629, 0xA4B2AF31, 0x3F23312A, 0xA59430C6, 0xA266C035,
+ 0x4EBC3774, 0x82CAA6FC, 0x90D0B0E0, 0xA7D81533, 0x04984AF1, 0xECDAF741, 0xCD500E7F, 0x91F62F17,
+ 0x4DD68D76, 0xEFB04D43, 0xAA4D54CC, 0x9604DFE4, 0xD1B5E39E, 0x6A881B4C, 0x2C1FB8C1, 0x65517F46,
+ 0x5EEA049D, 0x8C355D01, 0x877473FA, 0x0B412EFB, 0x671D5AB3, 0xDBD25292, 0x105633E9, 0xD647136D,
+ 0xD7618C9A, 0xA10C7A37, 0xF8148E59, 0x133C89EB, 0xA927EECE, 0x61C935B7, 0x1CE5EDE1, 0x47B13C7A,
+ 0xD2DF599C, 0xF2733F55, 0x14CE7918, 0xC737BF73, 0xF7CDEA53, 0xFDAA5B5F, 0x3D6F14DF, 0x44DB8678,
+ 0xAFF381CA, 0x68C43EB9, 0x24342C38, 0xA3405FC2, 0x1DC37216, 0xE2250CBC, 0x3C498B28, 0x0D9541FF,
+ 0xA8017139, 0x0CB3DE08, 0xB4E49CD8, 0x56C19064, 0xCB84617B, 0x32B670D5, 0x6C5C7448, 0xB85742D0
+ );
+
+ /**
+ * The SubByte S-Box
+ *
+ * @see Crypt_Rijndael::_encryptBlock()
+ * @var Array
+ * @access private
+ */
+ var $sbox = array(
+ 0x63, 0x7C, 0x77, 0x7B, 0xF2, 0x6B, 0x6F, 0xC5, 0x30, 0x01, 0x67, 0x2B, 0xFE, 0xD7, 0xAB, 0x76,
+ 0xCA, 0x82, 0xC9, 0x7D, 0xFA, 0x59, 0x47, 0xF0, 0xAD, 0xD4, 0xA2, 0xAF, 0x9C, 0xA4, 0x72, 0xC0,
+ 0xB7, 0xFD, 0x93, 0x26, 0x36, 0x3F, 0xF7, 0xCC, 0x34, 0xA5, 0xE5, 0xF1, 0x71, 0xD8, 0x31, 0x15,
+ 0x04, 0xC7, 0x23, 0xC3, 0x18, 0x96, 0x05, 0x9A, 0x07, 0x12, 0x80, 0xE2, 0xEB, 0x27, 0xB2, 0x75,
+ 0x09, 0x83, 0x2C, 0x1A, 0x1B, 0x6E, 0x5A, 0xA0, 0x52, 0x3B, 0xD6, 0xB3, 0x29, 0xE3, 0x2F, 0x84,
+ 0x53, 0xD1, 0x00, 0xED, 0x20, 0xFC, 0xB1, 0x5B, 0x6A, 0xCB, 0xBE, 0x39, 0x4A, 0x4C, 0x58, 0xCF,
+ 0xD0, 0xEF, 0xAA, 0xFB, 0x43, 0x4D, 0x33, 0x85, 0x45, 0xF9, 0x02, 0x7F, 0x50, 0x3C, 0x9F, 0xA8,
+ 0x51, 0xA3, 0x40, 0x8F, 0x92, 0x9D, 0x38, 0xF5, 0xBC, 0xB6, 0xDA, 0x21, 0x10, 0xFF, 0xF3, 0xD2,
+ 0xCD, 0x0C, 0x13, 0xEC, 0x5F, 0x97, 0x44, 0x17, 0xC4, 0xA7, 0x7E, 0x3D, 0x64, 0x5D, 0x19, 0x73,
+ 0x60, 0x81, 0x4F, 0xDC, 0x22, 0x2A, 0x90, 0x88, 0x46, 0xEE, 0xB8, 0x14, 0xDE, 0x5E, 0x0B, 0xDB,
+ 0xE0, 0x32, 0x3A, 0x0A, 0x49, 0x06, 0x24, 0x5C, 0xC2, 0xD3, 0xAC, 0x62, 0x91, 0x95, 0xE4, 0x79,
+ 0xE7, 0xC8, 0x37, 0x6D, 0x8D, 0xD5, 0x4E, 0xA9, 0x6C, 0x56, 0xF4, 0xEA, 0x65, 0x7A, 0xAE, 0x08,
+ 0xBA, 0x78, 0x25, 0x2E, 0x1C, 0xA6, 0xB4, 0xC6, 0xE8, 0xDD, 0x74, 0x1F, 0x4B, 0xBD, 0x8B, 0x8A,
+ 0x70, 0x3E, 0xB5, 0x66, 0x48, 0x03, 0xF6, 0x0E, 0x61, 0x35, 0x57, 0xB9, 0x86, 0xC1, 0x1D, 0x9E,
+ 0xE1, 0xF8, 0x98, 0x11, 0x69, 0xD9, 0x8E, 0x94, 0x9B, 0x1E, 0x87, 0xE9, 0xCE, 0x55, 0x28, 0xDF,
+ 0x8C, 0xA1, 0x89, 0x0D, 0xBF, 0xE6, 0x42, 0x68, 0x41, 0x99, 0x2D, 0x0F, 0xB0, 0x54, 0xBB, 0x16
+ );
+
+ /**
+ * The inverse SubByte S-Box
+ *
+ * @see Crypt_Rijndael::_decryptBlock()
+ * @var Array
+ * @access private
+ */
+ var $isbox = array(
+ 0x52, 0x09, 0x6A, 0xD5, 0x30, 0x36, 0xA5, 0x38, 0xBF, 0x40, 0xA3, 0x9E, 0x81, 0xF3, 0xD7, 0xFB,
+ 0x7C, 0xE3, 0x39, 0x82, 0x9B, 0x2F, 0xFF, 0x87, 0x34, 0x8E, 0x43, 0x44, 0xC4, 0xDE, 0xE9, 0xCB,
+ 0x54, 0x7B, 0x94, 0x32, 0xA6, 0xC2, 0x23, 0x3D, 0xEE, 0x4C, 0x95, 0x0B, 0x42, 0xFA, 0xC3, 0x4E,
+ 0x08, 0x2E, 0xA1, 0x66, 0x28, 0xD9, 0x24, 0xB2, 0x76, 0x5B, 0xA2, 0x49, 0x6D, 0x8B, 0xD1, 0x25,
+ 0x72, 0xF8, 0xF6, 0x64, 0x86, 0x68, 0x98, 0x16, 0xD4, 0xA4, 0x5C, 0xCC, 0x5D, 0x65, 0xB6, 0x92,
+ 0x6C, 0x70, 0x48, 0x50, 0xFD, 0xED, 0xB9, 0xDA, 0x5E, 0x15, 0x46, 0x57, 0xA7, 0x8D, 0x9D, 0x84,
+ 0x90, 0xD8, 0xAB, 0x00, 0x8C, 0xBC, 0xD3, 0x0A, 0xF7, 0xE4, 0x58, 0x05, 0xB8, 0xB3, 0x45, 0x06,
+ 0xD0, 0x2C, 0x1E, 0x8F, 0xCA, 0x3F, 0x0F, 0x02, 0xC1, 0xAF, 0xBD, 0x03, 0x01, 0x13, 0x8A, 0x6B,
+ 0x3A, 0x91, 0x11, 0x41, 0x4F, 0x67, 0xDC, 0xEA, 0x97, 0xF2, 0xCF, 0xCE, 0xF0, 0xB4, 0xE6, 0x73,
+ 0x96, 0xAC, 0x74, 0x22, 0xE7, 0xAD, 0x35, 0x85, 0xE2, 0xF9, 0x37, 0xE8, 0x1C, 0x75, 0xDF, 0x6E,
+ 0x47, 0xF1, 0x1A, 0x71, 0x1D, 0x29, 0xC5, 0x89, 0x6F, 0xB7, 0x62, 0x0E, 0xAA, 0x18, 0xBE, 0x1B,
+ 0xFC, 0x56, 0x3E, 0x4B, 0xC6, 0xD2, 0x79, 0x20, 0x9A, 0xDB, 0xC0, 0xFE, 0x78, 0xCD, 0x5A, 0xF4,
+ 0x1F, 0xDD, 0xA8, 0x33, 0x88, 0x07, 0xC7, 0x31, 0xB1, 0x12, 0x10, 0x59, 0x27, 0x80, 0xEC, 0x5F,
+ 0x60, 0x51, 0x7F, 0xA9, 0x19, 0xB5, 0x4A, 0x0D, 0x2D, 0xE5, 0x7A, 0x9F, 0x93, 0xC9, 0x9C, 0xEF,
+ 0xA0, 0xE0, 0x3B, 0x4D, 0xAE, 0x2A, 0xF5, 0xB0, 0xC8, 0xEB, 0xBB, 0x3C, 0x83, 0x53, 0x99, 0x61,
+ 0x17, 0x2B, 0x04, 0x7E, 0xBA, 0x77, 0xD6, 0x26, 0xE1, 0x69, 0x14, 0x63, 0x55, 0x21, 0x0C, 0x7D
+ );
+
+ /**
+ * Default Constructor.
+ *
+ * Determines whether or not the mcrypt extension should be used.
+ *
+ * $mode could be:
+ *
+ * - CRYPT_RIJNDAEL_MODE_ECB
+ *
+ * - CRYPT_RIJNDAEL_MODE_CBC
+ *
+ * - CRYPT_RIJNDAEL_MODE_CTR
+ *
+ * - CRYPT_RIJNDAEL_MODE_CFB
+ *
+ * - CRYPT_RIJNDAEL_MODE_OFB
+ *
+ * If not explictly set, CRYPT_RIJNDAEL_MODE_CBC will be used.
+ *
+ * @see Crypt_Base::Crypt_Base()
+ * @param optional Integer $mode
+ * @access public
+ */
+ function Crypt_Rijndael($mode = CRYPT_RIJNDAEL_MODE_CBC)
+ {
+ parent::Crypt_Base($mode);
+ }
+
+ /**
+ * Sets the key.
+ *
+ * Keys can be of any length. Rijndael, itself, requires the use of a key that's between 128-bits and 256-bits long and
+ * whose length is a multiple of 32. If the key is less than 256-bits and the key length isn't set, we round the length
+ * up to the closest valid key length, padding $key with null bytes. If the key is more than 256-bits, we trim the
+ * excess bits.
+ *
+ * If the key is not explicitly set, it'll be assumed to be all null bytes.
+ *
+ * Note: 160/224-bit keys must explicitly set by setKeyLength(), otherwise they will be round/pad up to 192/256 bits.
+ *
+ * @see Crypt_Base:setKey()
+ * @see setKeyLength()
+ * @access public
+ * @param String $key
+ */
+ function setKey($key)
+ {
+ parent::setKey($key);
+
+ if (!$this->explicit_key_length) {
+ $length = strlen($key);
+ switch (true) {
+ case $length <= 16:
+ $this->key_size = 16;
+ break;
+ case $length <= 24:
+ $this->key_size = 24;
+ break;
+ default:
+ $this->key_size = 32;
+ }
+ $this->_setupEngine();
+ }
+ }
+
+ /**
+ * Sets the key length
+ *
+ * Valid key lengths are 128, 160, 192, 224, and 256. If the length is less than 128, it will be rounded up to
+ * 128. If the length is greater than 128 and invalid, it will be rounded down to the closest valid amount.
+ *
+ * Note: phpseclib extends Rijndael (and AES) for using 160- and 224-bit keys but they are officially not defined
+ * and the most (if not all) implementations are not able using 160/224-bit keys but round/pad them up to
+ * 192/256 bits as, for example, mcrypt will do.
+ *
+ * That said, if you want be compatible with other Rijndael and AES implementations,
+ * you should not setKeyLength(160) or setKeyLength(224).
+ *
+ * Additional: In case of 160- and 224-bit keys, phpseclib will/can, for that reason, not use
+ * the mcrypt php extention, even if available.
+ * This results then in slower encryption.
+ *
+ * @access public
+ * @param Integer $length
+ */
+ function setKeyLength($length)
+ {
+ switch (true) {
+ case $length == 160:
+ $this->key_size = 20;
+ break;
+ case $length == 224:
+ $this->key_size = 28;
+ break;
+ case $length <= 128:
+ $this->key_size = 16;
+ break;
+ case $length <= 192:
+ $this->key_size = 24;
+ break;
+ default:
+ $this->key_size = 32;
+ }
+
+ $this->explicit_key_length = true;
+ $this->changed = true;
+ $this->_setupEngine();
+ }
+
+ /**
+ * Sets the block length
+ *
+ * Valid block lengths are 128, 160, 192, 224, and 256. If the length is less than 128, it will be rounded up to
+ * 128. If the length is greater than 128 and invalid, it will be rounded down to the closest valid amount.
+ *
+ * @access public
+ * @param Integer $length
+ */
+ function setBlockLength($length)
+ {
+ $length >>= 5;
+ if ($length > 8) {
+ $length = 8;
+ } else if ($length < 4) {
+ $length = 4;
+ }
+ $this->Nb = $length;
+ $this->block_size = $length << 2;
+ $this->changed = true;
+ $this->_setupEngine();
+ }
+
+ /**
+ * Setup the fastest possible $engine
+ *
+ * Determines if the mcrypt (MODE_MCRYPT) $engine available
+ * and usable for the current $block_size and $key_size.
+ *
+ * If not, the slower MODE_INTERNAL $engine will be set.
+ *
+ * @see setKey()
+ * @see setKeyLength()
+ * @see setBlockLength()
+ * @access private
+ */
+ function _setupEngine()
+ {
+ if (constant('CRYPT_' . $this->const_namespace . '_MODE') == CRYPT_MODE_INTERNAL) {
+ // No mcrypt support at all for rijndael
+ return;
+ }
+
+ // The required mcrypt module name for the current $block_size of rijndael
+ $cipher_name_mcrypt = 'rijndael-' . ($this->block_size << 3);
+
+ // Determining the availibility/usability of $cipher_name_mcrypt
+ switch (true) {
+ case $this->key_size % 8: // mcrypt is not usable for 160/224-bit keys, only for 128/192/256-bit keys
+ case !in_array($cipher_name_mcrypt, mcrypt_list_algorithms()): // $cipher_name_mcrypt is not available for the current $block_size
+ $engine = CRYPT_MODE_INTERNAL;
+ break;
+ default:
+ $engine = CRYPT_MODE_MCRYPT;
+ }
+
+ if ($this->engine == $engine && $this->cipher_name_mcrypt == $cipher_name_mcrypt) {
+ // allready set, so we not unnecessary close $this->enmcrypt/demcrypt/ecb
+ return;
+ }
+
+ // Set the $engine
+ $this->engine = $engine;
+ $this->cipher_name_mcrypt = $cipher_name_mcrypt;
+
+ if ($this->enmcrypt) {
+ // Closing the current mcrypt resource(s). _mcryptSetup() will, if needed,
+ // (re)open them with the module named in $this->cipher_name_mcrypt
+ mcrypt_module_close($this->enmcrypt);
+ mcrypt_module_close($this->demcrypt);
+ $this->enmcrypt = null;
+ $this->demcrypt = null;
+
+ if ($this->ecb) {
+ mcrypt_module_close($this->ecb);
+ $this->ecb = null;
+ }
+ }
+ }
+
+ /**
+ * Setup the CRYPT_MODE_MCRYPT $engine
+ *
+ * @see Crypt_Base::_setupMcrypt()
+ * @access private
+ */
+ function _setupMcrypt()
+ {
+ $this->key = str_pad(substr($this->key, 0, $this->key_size), $this->key_size, "\0");
+ parent::_setupMcrypt();
+ }
+
+ /**
+ * Encrypts a block
+ *
+ * @access private
+ * @param String $in
+ * @return String
+ */
+ function _encryptBlock($in)
+ {
+ static $t0, $t1, $t2, $t3, $sbox;
+ if (!$t0) {
+ for ($i = 0; $i < 256; ++$i) {
+ $t0[] = (int)$this->t0[$i];
+ $t1[] = (int)$this->t1[$i];
+ $t2[] = (int)$this->t2[$i];
+ $t3[] = (int)$this->t3[$i];
+ $sbox[] = (int)$this->sbox[$i];
+ }
+ }
+
+ $state = array();
+ $words = unpack('N*', $in);
+
+ $c = $this->c;
+ $w = $this->w;
+ $Nb = $this->Nb;
+ $Nr = $this->Nr;
+
+ // addRoundKey
+ $i = -1;
+ foreach ($words as $word) {
+ $state[] = $word ^ $w[0][++$i];
+ }
+
+ // fips-197.pdf#page=19, "Figure 5. Pseudo Code for the Cipher", states that this loop has four components -
+ // subBytes, shiftRows, mixColumns, and addRoundKey. fips-197.pdf#page=30, "Implementation Suggestions Regarding
+ // Various Platforms" suggests that performs enhanced implementations are described in Rijndael-ammended.pdf.
+ // Rijndael-ammended.pdf#page=20, "Implementation aspects / 32-bit processor", discusses such an optimization.
+ // Unfortunately, the description given there is not quite correct. Per aes.spec.v316.pdf#page=19 [1],
+ // equation (7.4.7) is supposed to use addition instead of subtraction, so we'll do that here, as well.
+
+ // [1] http://fp.gladman.plus.com/cryptography_technology/rijndael/aes.spec.v316.pdf
+ $temp = array();
+ for ($round = 1; $round < $Nr; ++$round) {
+ $i = 0; // $c[0] == 0
+ $j = $c[1];
+ $k = $c[2];
+ $l = $c[3];
+
+ while ($i < $Nb) {
+ $temp[$i] = $t0[$state[$i] >> 24 & 0x000000FF] ^
+ $t1[$state[$j] >> 16 & 0x000000FF] ^
+ $t2[$state[$k] >> 8 & 0x000000FF] ^
+ $t3[$state[$l] & 0x000000FF] ^
+ $w[$round][$i];
+ ++$i;
+ $j = ($j + 1) % $Nb;
+ $k = ($k + 1) % $Nb;
+ $l = ($l + 1) % $Nb;
+ }
+ $state = $temp;
+ }
+
+ // subWord
+ for ($i = 0; $i < $Nb; ++$i) {
+ $state[$i] = $sbox[$state[$i] & 0x000000FF] |
+ ($sbox[$state[$i] >> 8 & 0x000000FF] << 8) |
+ ($sbox[$state[$i] >> 16 & 0x000000FF] << 16) |
+ ($sbox[$state[$i] >> 24 & 0x000000FF] << 24);
+ }
+
+ // shiftRows + addRoundKey
+ $i = 0; // $c[0] == 0
+ $j = $c[1];
+ $k = $c[2];
+ $l = $c[3];
+ while ($i < $Nb) {
+ $temp[$i] = ($state[$i] & 0xFF000000) ^
+ ($state[$j] & 0x00FF0000) ^
+ ($state[$k] & 0x0000FF00) ^
+ ($state[$l] & 0x000000FF) ^
+ $w[$Nr][$i];
+ ++$i;
+ $j = ($j + 1) % $Nb;
+ $k = ($k + 1) % $Nb;
+ $l = ($l + 1) % $Nb;
+ }
+
+ switch ($Nb) {
+ case 8:
+ return pack('N*', $temp[0], $temp[1], $temp[2], $temp[3], $temp[4], $temp[5], $temp[6], $temp[7]);
+ case 7:
+ return pack('N*', $temp[0], $temp[1], $temp[2], $temp[3], $temp[4], $temp[5], $temp[6]);
+ case 6:
+ return pack('N*', $temp[0], $temp[1], $temp[2], $temp[3], $temp[4], $temp[5]);
+ case 5:
+ return pack('N*', $temp[0], $temp[1], $temp[2], $temp[3], $temp[4]);
+ default:
+ return pack('N*', $temp[0], $temp[1], $temp[2], $temp[3]);
+ }
+ }
+
+ /**
+ * Decrypts a block
+ *
+ * @access private
+ * @param String $in
+ * @return String
+ */
+ function _decryptBlock($in)
+ {
+ static $dt0, $dt1, $dt2, $dt3, $isbox;
+ if (!$dt0) {
+ for ($i = 0; $i < 256; ++$i) {
+ $dt0[] = (int)$this->dt0[$i];
+ $dt1[] = (int)$this->dt1[$i];
+ $dt2[] = (int)$this->dt2[$i];
+ $dt3[] = (int)$this->dt3[$i];
+ $isbox[] = (int)$this->isbox[$i];
+ }
+ }
+
+ $state = array();
+ $words = unpack('N*', $in);
+
+ $c = $this->c;
+ $dw = $this->dw;
+ $Nb = $this->Nb;
+ $Nr = $this->Nr;
+
+ // addRoundKey
+ $i = -1;
+ foreach ($words as $word) {
+ $state[] = $word ^ $dw[$Nr][++$i];
+ }
+
+ $temp = array();
+ for ($round = $Nr - 1; $round > 0; --$round) {
+ $i = 0; // $c[0] == 0
+ $j = $Nb - $c[1];
+ $k = $Nb - $c[2];
+ $l = $Nb - $c[3];
+
+ while ($i < $Nb) {
+ $temp[$i] = $dt0[$state[$i] >> 24 & 0x000000FF] ^
+ $dt1[$state[$j] >> 16 & 0x000000FF] ^
+ $dt2[$state[$k] >> 8 & 0x000000FF] ^
+ $dt3[$state[$l] & 0x000000FF] ^
+ $dw[$round][$i];
+ ++$i;
+ $j = ($j + 1) % $Nb;
+ $k = ($k + 1) % $Nb;
+ $l = ($l + 1) % $Nb;
+ }
+ $state = $temp;
+ }
+
+ // invShiftRows + invSubWord + addRoundKey
+ $i = 0; // $c[0] == 0
+ $j = $Nb - $c[1];
+ $k = $Nb - $c[2];
+ $l = $Nb - $c[3];
+
+ while ($i < $Nb) {
+ $word = ($state[$i] & 0xFF000000) |
+ ($state[$j] & 0x00FF0000) |
+ ($state[$k] & 0x0000FF00) |
+ ($state[$l] & 0x000000FF);
+
+ $temp[$i] = $dw[0][$i] ^ ($isbox[$word & 0x000000FF] |
+ ($isbox[$word >> 8 & 0x000000FF] << 8) |
+ ($isbox[$word >> 16 & 0x000000FF] << 16) |
+ ($isbox[$word >> 24 & 0x000000FF] << 24));
+ ++$i;
+ $j = ($j + 1) % $Nb;
+ $k = ($k + 1) % $Nb;
+ $l = ($l + 1) % $Nb;
+ }
+
+ switch ($Nb) {
+ case 8:
+ return pack('N*', $temp[0], $temp[1], $temp[2], $temp[3], $temp[4], $temp[5], $temp[6], $temp[7]);
+ case 7:
+ return pack('N*', $temp[0], $temp[1], $temp[2], $temp[3], $temp[4], $temp[5], $temp[6]);
+ case 6:
+ return pack('N*', $temp[0], $temp[1], $temp[2], $temp[3], $temp[4], $temp[5]);
+ case 5:
+ return pack('N*', $temp[0], $temp[1], $temp[2], $temp[3], $temp[4]);
+ default:
+ return pack('N*', $temp[0], $temp[1], $temp[2], $temp[3]);
+ }
+ }
+
+ /**
+ * Setup the key (expansion)
+ *
+ * @see Crypt_Base::_setupKey()
+ * @access private
+ */
+ function _setupKey()
+ {
+ // Each number in $rcon is equal to the previous number multiplied by two in Rijndael's finite field.
+ // See http://en.wikipedia.org/wiki/Finite_field_arithmetic#Multiplicative_inverse
+ static $rcon = array(0,
+ 0x01000000, 0x02000000, 0x04000000, 0x08000000, 0x10000000,
+ 0x20000000, 0x40000000, 0x80000000, 0x1B000000, 0x36000000,
+ 0x6C000000, 0xD8000000, 0xAB000000, 0x4D000000, 0x9A000000,
+ 0x2F000000, 0x5E000000, 0xBC000000, 0x63000000, 0xC6000000,
+ 0x97000000, 0x35000000, 0x6A000000, 0xD4000000, 0xB3000000,
+ 0x7D000000, 0xFA000000, 0xEF000000, 0xC5000000, 0x91000000
+ );
+
+ $this->key = str_pad(substr($this->key, 0, $this->key_size), $this->key_size, "\0");
+
+ if (isset($this->kl['key']) && $this->key === $this->kl['key'] && $this->key_size === $this->kl['key_size'] && $this->block_size === $this->kl['block_size']) {
+ // already expanded
+ return;
+ }
+ $this->kl = array('key' => $this->key, 'key_size' => $this->key_size, 'block_size' => $this->block_size);
+
+ $this->Nk = $this->key_size >> 2;
+ // see Rijndael-ammended.pdf#page=44
+ $this->Nr = max($this->Nk, $this->Nb) + 6;
+
+ // shift offsets for Nb = 5, 7 are defined in Rijndael-ammended.pdf#page=44,
+ // "Table 8: Shift offsets in Shiftrow for the alternative block lengths"
+ // shift offsets for Nb = 4, 6, 8 are defined in Rijndael-ammended.pdf#page=14,
+ // "Table 2: Shift offsets for different block lengths"
+ switch ($this->Nb) {
+ case 4:
+ case 5:
+ case 6:
+ $this->c = array(0, 1, 2, 3);
+ break;
+ case 7:
+ $this->c = array(0, 1, 2, 4);
+ break;
+ case 8:
+ $this->c = array(0, 1, 3, 4);
+ }
+
+ $w = array_values(unpack('N*words', $this->key));
+
+ $length = $this->Nb * ($this->Nr + 1);
+ for ($i = $this->Nk; $i < $length; $i++) {
+ $temp = $w[$i - 1];
+ if ($i % $this->Nk == 0) {
+ // according to <http://php.net/language.types.integer>, "the size of an integer is platform-dependent".
+ // on a 32-bit machine, it's 32-bits, and on a 64-bit machine, it's 64-bits. on a 32-bit machine,
+ // 0xFFFFFFFF << 8 == 0xFFFFFF00, but on a 64-bit machine, it equals 0xFFFFFFFF00. as such, doing 'and'
+ // with 0xFFFFFFFF (or 0xFFFFFF00) on a 32-bit machine is unnecessary, but on a 64-bit machine, it is.
+ $temp = (($temp << 8) & 0xFFFFFF00) | (($temp >> 24) & 0x000000FF); // rotWord
+ $temp = $this->_subWord($temp) ^ $rcon[$i / $this->Nk];
+ } else if ($this->Nk > 6 && $i % $this->Nk == 4) {
+ $temp = $this->_subWord($temp);
+ }
+ $w[$i] = $w[$i - $this->Nk] ^ $temp;
+ }
+
+ // convert the key schedule from a vector of $Nb * ($Nr + 1) length to a matrix with $Nr + 1 rows and $Nb columns
+ // and generate the inverse key schedule. more specifically,
+ // according to <http://csrc.nist.gov/archive/aes/rijndael/Rijndael-ammended.pdf#page=23> (section 5.3.3),
+ // "The key expansion for the Inverse Cipher is defined as follows:
+ // 1. Apply the Key Expansion.
+ // 2. Apply InvMixColumn to all Round Keys except the first and the last one."
+ // also, see fips-197.pdf#page=27, "5.3.5 Equivalent Inverse Cipher"
+ $temp = $this->w = $this->dw = array();
+ for ($i = $row = $col = 0; $i < $length; $i++, $col++) {
+ if ($col == $this->Nb) {
+ if ($row == 0) {
+ $this->dw[0] = $this->w[0];
+ } else {
+ // subWord + invMixColumn + invSubWord = invMixColumn
+ $j = 0;
+ while ($j < $this->Nb) {
+ $dw = $this->_subWord($this->w[$row][$j]);
+ $temp[$j] = $this->dt0[$dw >> 24 & 0x000000FF] ^
+ $this->dt1[$dw >> 16 & 0x000000FF] ^
+ $this->dt2[$dw >> 8 & 0x000000FF] ^
+ $this->dt3[$dw & 0x000000FF];
+ $j++;
+ }
+ $this->dw[$row] = $temp;
+ }
+
+ $col = 0;
+ $row++;
+ }
+ $this->w[$row][$col] = $w[$i];
+ }
+
+ $this->dw[$row] = $this->w[$row];
+
+ // In case of $this->use_inline_crypt === true we have to use 1-dim key arrays (both ascending)
+ if ($this->use_inline_crypt) {
+ $this->dw = array_reverse($this->dw);
+ $w = array_pop($this->w);
+ $dw = array_pop($this->dw);
+ foreach ($this->w as $r => $wr) {
+ foreach ($wr as $c => $wc) {
+ $w[] = $wc;
+ $dw[] = $this->dw[$r][$c];
+ }
+ }
+ $this->w = $w;
+ $this->dw = $dw;
+ }
+ }
+
+ /**
+ * Performs S-Box substitutions
+ *
+ * @access private
+ * @param Integer $word
+ */
+ function _subWord($word)
+ {
+ $sbox = $this->sbox;
+
+ return $sbox[$word & 0x000000FF] |
+ ($sbox[$word >> 8 & 0x000000FF] << 8) |
+ ($sbox[$word >> 16 & 0x000000FF] << 16) |
+ ($sbox[$word >> 24 & 0x000000FF] << 24);
+ }
+
+ /**
+ * Setup the performance-optimized function for de/encrypt()
+ *
+ * @see Crypt_Base::_setupInlineCrypt()
+ * @access private
+ */
+ function _setupInlineCrypt()
+ {
+ // Note: _setupInlineCrypt() will be called only if $this->changed === true
+ // So here we are'nt under the same heavy timing-stress as we are in _de/encryptBlock() or de/encrypt().
+ // However...the here generated function- $code, stored as php callback in $this->inline_crypt, must work as fast as even possible.
+
+ $lambda_functions =& Crypt_Rijndael::_getLambdaFunctions();
+
+ // The first 10 generated $lambda_functions will use the key-words hardcoded for better performance.
+ // For memory reason we limit those ultra-optimized functions.
+ // After that, we use pure (extracted) integer vars for the key-words which is faster than accessing them via array.
+ if (count($lambda_functions) < 10) {
+ $w = $this->w;
+ $dw = $this->dw;
+ $init_encrypt = '';
+ $init_decrypt = '';
+ } else {
+ for ($i = 0, $cw = count($this->w); $i < $cw; ++$i) {
+ $w[] = '$w[' . $i . ']';
+ $dw[] = '$dw[' . $i . ']';
+ }
+ $init_encrypt = '$w = $self->w;';
+ $init_decrypt = '$dw = $self->dw;';
+ }
+
+ $code_hash = md5(str_pad("Crypt_Rijndael, {$this->mode}, {$this->block_size}, ", 32, "\0") . implode(',', $w));
+
+ if (!isset($lambda_functions[$code_hash])) {
+ $Nr = $this->Nr;
+ $Nb = $this->Nb;
+ $c = $this->c;
+
+ // Generating encrypt code:
+ $init_encrypt.= '
+ static $t0, $t1, $t2, $t3, $sbox;
+ if (!$t0) {
+ for ($i = 0; $i < 256; ++$i) {
+ $t0[$i] = (int)$self->t0[$i];
+ $t1[$i] = (int)$self->t1[$i];
+ $t2[$i] = (int)$self->t2[$i];
+ $t3[$i] = (int)$self->t3[$i];
+ $sbox[$i] = (int)$self->sbox[$i];
+ }
+ }
+ ';
+
+ $s = 'e';
+ $e = 's';
+ $wc = $Nb - 1;
+
+ // Preround: addRoundKey
+ $encrypt_block = '$in = unpack("N*", $in);'."\n";
+ for ($i = 0; $i < $Nb; ++$i) {
+ $encrypt_block .= '$s'.$i.' = $in['.($i + 1).'] ^ '.$w[++$wc].";\n";
+ }
+
+ // Mainrounds: shiftRows + subWord + mixColumns + addRoundKey
+ for ($round = 1; $round < $Nr; ++$round) {
+ list($s, $e) = array($e, $s);
+ for ($i = 0; $i < $Nb; ++$i) {
+ $encrypt_block.=
+ '$'.$e.$i.' =
+ $t0[($'.$s.$i .' >> 24) & 0xff] ^
+ $t1[($'.$s.(($i + $c[1]) % $Nb).' >> 16) & 0xff] ^
+ $t2[($'.$s.(($i + $c[2]) % $Nb).' >> 8) & 0xff] ^
+ $t3[ $'.$s.(($i + $c[3]) % $Nb).' & 0xff] ^
+ '.$w[++$wc].";\n";
+ }
+ }
+
+ // Finalround: subWord + shiftRows + addRoundKey
+ for ($i = 0; $i < $Nb; ++$i) {
+ $encrypt_block.=
+ '$'.$e.$i.' =
+ $sbox[ $'.$e.$i.' & 0xff] |
+ ($sbox[($'.$e.$i.' >> 8) & 0xff] << 8) |
+ ($sbox[($'.$e.$i.' >> 16) & 0xff] << 16) |
+ ($sbox[($'.$e.$i.' >> 24) & 0xff] << 24);'."\n";
+ }
+ $encrypt_block .= '$in = pack("N*"'."\n";
+ for ($i = 0; $i < $Nb; ++$i) {
+ $encrypt_block.= ',
+ ($'.$e.$i .' & 0xFF000000) ^
+ ($'.$e.(($i + $c[1]) % $Nb).' & 0x00FF0000) ^
+ ($'.$e.(($i + $c[2]) % $Nb).' & 0x0000FF00) ^
+ ($'.$e.(($i + $c[3]) % $Nb).' & 0x000000FF) ^
+ '.$w[$i]."\n";
+ }
+ $encrypt_block .= ');';
+
+ // Generating decrypt code:
+ $init_decrypt.= '
+ static $dt0, $dt1, $dt2, $dt3, $isbox;
+ if (!$dt0) {
+ for ($i = 0; $i < 256; ++$i) {
+ $dt0[$i] = (int)$self->dt0[$i];
+ $dt1[$i] = (int)$self->dt1[$i];
+ $dt2[$i] = (int)$self->dt2[$i];
+ $dt3[$i] = (int)$self->dt3[$i];
+ $isbox[$i] = (int)$self->isbox[$i];
+ }
+ }
+ ';
+
+ $s = 'e';
+ $e = 's';
+ $wc = $Nb - 1;
+
+ // Preround: addRoundKey
+ $decrypt_block = '$in = unpack("N*", $in);'."\n";
+ for ($i = 0; $i < $Nb; ++$i) {
+ $decrypt_block .= '$s'.$i.' = $in['.($i + 1).'] ^ '.$dw[++$wc].';'."\n";
+ }
+
+ // Mainrounds: shiftRows + subWord + mixColumns + addRoundKey
+ for ($round = 1; $round < $Nr; ++$round) {
+ list($s, $e) = array($e, $s);
+ for ($i = 0; $i < $Nb; ++$i) {
+ $decrypt_block.=
+ '$'.$e.$i.' =
+ $dt0[($'.$s.$i .' >> 24) & 0xff] ^
+ $dt1[($'.$s.(($Nb + $i - $c[1]) % $Nb).' >> 16) & 0xff] ^
+ $dt2[($'.$s.(($Nb + $i - $c[2]) % $Nb).' >> 8) & 0xff] ^
+ $dt3[ $'.$s.(($Nb + $i - $c[3]) % $Nb).' & 0xff] ^
+ '.$dw[++$wc].";\n";
+ }
+ }
+
+ // Finalround: subWord + shiftRows + addRoundKey
+ for ($i = 0; $i < $Nb; ++$i) {
+ $decrypt_block.=
+ '$'.$e.$i.' =
+ $isbox[ $'.$e.$i.' & 0xff] |
+ ($isbox[($'.$e.$i.' >> 8) & 0xff] << 8) |
+ ($isbox[($'.$e.$i.' >> 16) & 0xff] << 16) |
+ ($isbox[($'.$e.$i.' >> 24) & 0xff] << 24);'."\n";
+ }
+ $decrypt_block .= '$in = pack("N*"'."\n";
+ for ($i = 0; $i < $Nb; ++$i) {
+ $decrypt_block.= ',
+ ($'.$e.$i. ' & 0xFF000000) ^
+ ($'.$e.(($Nb + $i - $c[1]) % $Nb).' & 0x00FF0000) ^
+ ($'.$e.(($Nb + $i - $c[2]) % $Nb).' & 0x0000FF00) ^
+ ($'.$e.(($Nb + $i - $c[3]) % $Nb).' & 0x000000FF) ^
+ '.$dw[$i]."\n";
+ }
+ $decrypt_block .= ');';
+
+ $lambda_functions[$code_hash] = $this->_createInlineCryptFunction(
+ array(
+ 'init_crypt' => '',
+ 'init_encrypt' => $init_encrypt,
+ 'init_decrypt' => $init_decrypt,
+ 'encrypt_block' => $encrypt_block,
+ 'decrypt_block' => $decrypt_block
+ )
+ );
+ }
+ $this->inline_crypt = $lambda_functions[$code_hash];
+ }
+}
+
+// vim: ts=4:sw=4:et:
+// vim6: fdl=1:
diff --git a/inc/phpseclib/LICENSE b/inc/phpseclib/LICENSE
new file mode 100644
index 000000000..6ecd9b9be
--- /dev/null
+++ b/inc/phpseclib/LICENSE
@@ -0,0 +1,21 @@
+Copyright 2007-2012 TerraFrost and other contributors
+http://phpseclib.sourceforge.net/
+
+Permission is hereby granted, free of charge, to any person obtaining
+a copy of this software and associated documentation files (the
+"Software"), to deal in the Software without restriction, including
+without limitation the rights to use, copy, modify, merge, publish,
+distribute, sublicense, and/or sell copies of the Software, and to
+permit persons to whom the Software is furnished to do so, subject to
+the following conditions:
+
+The above copyright notice and this permission notice shall be
+included in all copies or substantial portions of the Software.
+
+THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
+EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF
+MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
+NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE
+LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION
+OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION
+WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.
\ No newline at end of file
diff --git a/inc/phpseclib/Math_BigInteger.php b/inc/phpseclib/Math_BigInteger.php
new file mode 100644
index 000000000..a37662da9
--- /dev/null
+++ b/inc/phpseclib/Math_BigInteger.php
@@ -0,0 +1,3651 @@
+<?php
+/* vim: set expandtab tabstop=4 shiftwidth=4 softtabstop=4: */
+
+/**
+ * Pure-PHP arbitrary precision integer arithmetic library.
+ *
+ * Supports base-2, base-10, base-16, and base-256 numbers. Uses the GMP or BCMath extensions, if available,
+ * and an internal implementation, otherwise.
+ *
+ * PHP versions 4 and 5
+ *
+ * {@internal (all DocBlock comments regarding implementation - such as the one that follows - refer to the
+ * {@link MATH_BIGINTEGER_MODE_INTERNAL MATH_BIGINTEGER_MODE_INTERNAL} mode)
+ *
+ * Math_BigInteger uses base-2**26 to perform operations such as multiplication and division and
+ * base-2**52 (ie. two base 2**26 digits) to perform addition and subtraction. Because the largest possible
+ * value when multiplying two base-2**26 numbers together is a base-2**52 number, double precision floating
+ * point numbers - numbers that should be supported on most hardware and whose significand is 53 bits - are
+ * used. As a consequence, bitwise operators such as >> and << cannot be used, nor can the modulo operator %,
+ * which only supports integers. Although this fact will slow this library down, the fact that such a high
+ * base is being used should more than compensate.
+ *
+ * When PHP version 6 is officially released, we'll be able to use 64-bit integers. This should, once again,
+ * allow bitwise operators, and will increase the maximum possible base to 2**31 (or 2**62 for addition /
+ * subtraction).
+ *
+ * Numbers are stored in {@link http://en.wikipedia.org/wiki/Endianness little endian} format. ie.
+ * (new Math_BigInteger(pow(2, 26)))->value = array(0, 1)
+ *
+ * Useful resources are as follows:
+ *
+ * - {@link http://www.cacr.math.uwaterloo.ca/hac/about/chap14.pdf Handbook of Applied Cryptography (HAC)}
+ * - {@link http://math.libtomcrypt.com/files/tommath.pdf Multi-Precision Math (MPM)}
+ * - Java's BigInteger classes. See /j2se/src/share/classes/java/math in jdk-1_5_0-src-jrl.zip
+ *
+ * Here's an example of how to use this library:
+ * <code>
+ * <?php
+ * include('Math/BigInteger.php');
+ *
+ * $a = new Math_BigInteger(2);
+ * $b = new Math_BigInteger(3);
+ *
+ * $c = $a->add($b);
+ *
+ * echo $c->toString(); // outputs 5
+ * ?>
+ * </code>
+ *
+ * LICENSE: Permission is hereby granted, free of charge, to any person obtaining a copy
+ * of this software and associated documentation files (the "Software"), to deal
+ * in the Software without restriction, including without limitation the rights
+ * to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
+ * copies of the Software, and to permit persons to whom the Software is
+ * furnished to do so, subject to the following conditions:
+ *
+ * The above copyright notice and this permission notice shall be included in
+ * all copies or substantial portions of the Software.
+ *
+ * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
+ * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
+ * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
+ * AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
+ * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
+ * OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
+ * THE SOFTWARE.
+ *
+ * @category Math
+ * @package Math_BigInteger
+ * @author Jim Wigginton <terrafrost@php.net>
+ * @copyright MMVI Jim Wigginton
+ * @license http://www.opensource.org/licenses/mit-license.html MIT License
+ * @link http://pear.php.net/package/Math_BigInteger
+ */
+
+/**#@+
+ * Reduction constants
+ *
+ * @access private
+ * @see Math_BigInteger::_reduce()
+ */
+/**
+ * @see Math_BigInteger::_montgomery()
+ * @see Math_BigInteger::_prepMontgomery()
+ */
+define('MATH_BIGINTEGER_MONTGOMERY', 0);
+/**
+ * @see Math_BigInteger::_barrett()
+ */
+define('MATH_BIGINTEGER_BARRETT', 1);
+/**
+ * @see Math_BigInteger::_mod2()
+ */
+define('MATH_BIGINTEGER_POWEROF2', 2);
+/**
+ * @see Math_BigInteger::_remainder()
+ */
+define('MATH_BIGINTEGER_CLASSIC', 3);
+/**
+ * @see Math_BigInteger::__clone()
+ */
+define('MATH_BIGINTEGER_NONE', 4);
+/**#@-*/
+
+/**#@+
+ * Array constants
+ *
+ * Rather than create a thousands and thousands of new Math_BigInteger objects in repeated function calls to add() and
+ * multiply() or whatever, we'll just work directly on arrays, taking them in as parameters and returning them.
+ *
+ * @access private
+ */
+/**
+ * $result[MATH_BIGINTEGER_VALUE] contains the value.
+ */
+define('MATH_BIGINTEGER_VALUE', 0);
+/**
+ * $result[MATH_BIGINTEGER_SIGN] contains the sign.
+ */
+define('MATH_BIGINTEGER_SIGN', 1);
+/**#@-*/
+
+/**#@+
+ * @access private
+ * @see Math_BigInteger::_montgomery()
+ * @see Math_BigInteger::_barrett()
+ */
+/**
+ * Cache constants
+ *
+ * $cache[MATH_BIGINTEGER_VARIABLE] tells us whether or not the cached data is still valid.
+ */
+define('MATH_BIGINTEGER_VARIABLE', 0);
+/**
+ * $cache[MATH_BIGINTEGER_DATA] contains the cached data.
+ */
+define('MATH_BIGINTEGER_DATA', 1);
+/**#@-*/
+
+/**#@+
+ * Mode constants.
+ *
+ * @access private
+ * @see Math_BigInteger::Math_BigInteger()
+ */
+/**
+ * To use the pure-PHP implementation
+ */
+define('MATH_BIGINTEGER_MODE_INTERNAL', 1);
+/**
+ * To use the BCMath library
+ *
+ * (if enabled; otherwise, the internal implementation will be used)
+ */
+define('MATH_BIGINTEGER_MODE_BCMATH', 2);
+/**
+ * To use the GMP library
+ *
+ * (if present; otherwise, either the BCMath or the internal implementation will be used)
+ */
+define('MATH_BIGINTEGER_MODE_GMP', 3);
+/**#@-*/
+
+/**
+ * Karatsuba Cutoff
+ *
+ * At what point do we switch between Karatsuba multiplication and schoolbook long multiplication?
+ *
+ * @access private
+ */
+define('MATH_BIGINTEGER_KARATSUBA_CUTOFF', 25);
+
+/**
+ * Pure-PHP arbitrary precision integer arithmetic library. Supports base-2, base-10, base-16, and base-256
+ * numbers.
+ *
+ * @author Jim Wigginton <terrafrost@php.net>
+ * @version 1.0.0RC4
+ * @access public
+ * @package Math_BigInteger
+ */
+class Math_BigInteger {
+ /**
+ * Holds the BigInteger's value.
+ *
+ * @var Array
+ * @access private
+ */
+ var $value;
+
+ /**
+ * Holds the BigInteger's magnitude.
+ *
+ * @var Boolean
+ * @access private
+ */
+ var $is_negative = false;
+
+ /**
+ * Random number generator function
+ *
+ * @see setRandomGenerator()
+ * @access private
+ */
+ var $generator = 'mt_rand';
+
+ /**
+ * Precision
+ *
+ * @see setPrecision()
+ * @access private
+ */
+ var $precision = -1;
+
+ /**
+ * Precision Bitmask
+ *
+ * @see setPrecision()
+ * @access private
+ */
+ var $bitmask = false;
+
+ /**
+ * Mode independent value used for serialization.
+ *
+ * If the bcmath or gmp extensions are installed $this->value will be a non-serializable resource, hence the need for
+ * a variable that'll be serializable regardless of whether or not extensions are being used. Unlike $this->value,
+ * however, $this->hex is only calculated when $this->__sleep() is called.
+ *
+ * @see __sleep()
+ * @see __wakeup()
+ * @var String
+ * @access private
+ */
+ var $hex;
+
+ /**
+ * Converts base-2, base-10, base-16, and binary strings (base-256) to BigIntegers.
+ *
+ * If the second parameter - $base - is negative, then it will be assumed that the number's are encoded using
+ * two's compliment. The sole exception to this is -10, which is treated the same as 10 is.
+ *
+ * Here's an example:
+ * <code>
+ * <?php
+ * include('Math/BigInteger.php');
+ *
+ * $a = new Math_BigInteger('0x32', 16); // 50 in base-16
+ *
+ * echo $a->toString(); // outputs 50
+ * ?>
+ * </code>
+ *
+ * @param optional $x base-10 number or base-$base number if $base set.
+ * @param optional integer $base
+ * @return Math_BigInteger
+ * @access public
+ */
+ function Math_BigInteger($x = 0, $base = 10)
+ {
+ if ( !defined('MATH_BIGINTEGER_MODE') ) {
+ switch (true) {
+ case extension_loaded('gmp'):
+ define('MATH_BIGINTEGER_MODE', MATH_BIGINTEGER_MODE_GMP);
+ break;
+ case extension_loaded('bcmath'):
+ define('MATH_BIGINTEGER_MODE', MATH_BIGINTEGER_MODE_BCMATH);
+ break;
+ default:
+ define('MATH_BIGINTEGER_MODE', MATH_BIGINTEGER_MODE_INTERNAL);
+ }
+ }
+
+ if (function_exists('openssl_public_encrypt') && !defined('MATH_BIGINTEGER_OPENSSL_DISABLE') && !defined('MATH_BIGINTEGER_OPENSSL_ENABLED')) {
+ define('MATH_BIGINTEGER_OPENSSL_ENABLED', true);
+ }
+
+ if (!defined('PHP_INT_SIZE')) {
+ define('PHP_INT_SIZE', 4);
+ }
+
+ if (!defined('MATH_BIGINTEGER_BASE') && MATH_BIGINTEGER_MODE == MATH_BIGINTEGER_MODE_INTERNAL) {
+ switch (PHP_INT_SIZE) {
+ case 8: // use 64-bit integers if int size is 8 bytes
+ define('MATH_BIGINTEGER_BASE', 31);
+ define('MATH_BIGINTEGER_BASE_FULL', 0x80000000);
+ define('MATH_BIGINTEGER_MAX_DIGIT', 0x7FFFFFFF);
+ define('MATH_BIGINTEGER_MSB', 0x40000000);
+ // 10**9 is the closest we can get to 2**31 without passing it
+ define('MATH_BIGINTEGER_MAX10', 1000000000);
+ define('MATH_BIGINTEGER_MAX10_LEN', 9);
+ // the largest digit that may be used in addition / subtraction
+ define('MATH_BIGINTEGER_MAX_DIGIT2', pow(2, 62));
+ break;
+ //case 4: // use 64-bit floats if int size is 4 bytes
+ default:
+ define('MATH_BIGINTEGER_BASE', 26);
+ define('MATH_BIGINTEGER_BASE_FULL', 0x4000000);
+ define('MATH_BIGINTEGER_MAX_DIGIT', 0x3FFFFFF);
+ define('MATH_BIGINTEGER_MSB', 0x2000000);
+ // 10**7 is the closest to 2**26 without passing it
+ define('MATH_BIGINTEGER_MAX10', 10000000);
+ define('MATH_BIGINTEGER_MAX10_LEN', 7);
+ // the largest digit that may be used in addition / subtraction
+ // we do pow(2, 52) instead of using 4503599627370496 directly because some
+ // PHP installations will truncate 4503599627370496.
+ define('MATH_BIGINTEGER_MAX_DIGIT2', pow(2, 52));
+ }
+ }
+
+ switch ( MATH_BIGINTEGER_MODE ) {
+ case MATH_BIGINTEGER_MODE_GMP:
+ if (is_resource($x) && get_resource_type($x) == 'GMP integer') {
+ $this->value = $x;
+ return;
+ }
+ $this->value = gmp_init(0);
+ break;
+ case MATH_BIGINTEGER_MODE_BCMATH:
+ $this->value = '0';
+ break;
+ default:
+ $this->value = array();
+ }
+
+ // '0' counts as empty() but when the base is 256 '0' is equal to ord('0') or 48
+ // '0' is the only value like this per http://php.net/empty
+ if (empty($x) && (abs($base) != 256 || $x !== '0')) {
+ return;
+ }
+
+ switch ($base) {
+ case -256:
+ if (ord($x[0]) & 0x80) {
+ $x = ~$x;
+ $this->is_negative = true;
+ }
+ case 256:
+ switch ( MATH_BIGINTEGER_MODE ) {
+ case MATH_BIGINTEGER_MODE_GMP:
+ $sign = $this->is_negative ? '-' : '';
+ $this->value = gmp_init($sign . '0x' . bin2hex($x));
+ break;
+ case MATH_BIGINTEGER_MODE_BCMATH:
+ // round $len to the nearest 4 (thanks, DavidMJ!)
+ $len = (strlen($x) + 3) & 0xFFFFFFFC;
+
+ $x = str_pad($x, $len, chr(0), STR_PAD_LEFT);
+
+ for ($i = 0; $i < $len; $i+= 4) {
+ $this->value = bcmul($this->value, '4294967296', 0); // 4294967296 == 2**32
+ $this->value = bcadd($this->value, 0x1000000 * ord($x[$i]) + ((ord($x[$i + 1]) << 16) | (ord($x[$i + 2]) << 8) | ord($x[$i + 3])), 0);
+ }
+
+ if ($this->is_negative) {
+ $this->value = '-' . $this->value;
+ }
+
+ break;
+ // converts a base-2**8 (big endian / msb) number to base-2**26 (little endian / lsb)
+ default:
+ while (strlen($x)) {
+ $this->value[] = $this->_bytes2int($this->_base256_rshift($x, MATH_BIGINTEGER_BASE));
+ }
+ }
+
+ if ($this->is_negative) {
+ if (MATH_BIGINTEGER_MODE != MATH_BIGINTEGER_MODE_INTERNAL) {
+ $this->is_negative = false;
+ }
+ $temp = $this->add(new Math_BigInteger('-1'));
+ $this->value = $temp->value;
+ }
+ break;
+ case 16:
+ case -16:
+ if ($base > 0 && $x[0] == '-') {
+ $this->is_negative = true;
+ $x = substr($x, 1);
+ }
+
+ $x = preg_replace('#^(?:0x)?([A-Fa-f0-9]*).*#', '$1', $x);
+
+ $is_negative = false;
+ if ($base < 0 && hexdec($x[0]) >= 8) {
+ $this->is_negative = $is_negative = true;
+ $x = bin2hex(~pack('H*', $x));
+ }
+
+ switch ( MATH_BIGINTEGER_MODE ) {
+ case MATH_BIGINTEGER_MODE_GMP:
+ $temp = $this->is_negative ? '-0x' . $x : '0x' . $x;
+ $this->value = gmp_init($temp);
+ $this->is_negative = false;
+ break;
+ case MATH_BIGINTEGER_MODE_BCMATH:
+ $x = ( strlen($x) & 1 ) ? '0' . $x : $x;
+ $temp = new Math_BigInteger(pack('H*', $x), 256);
+ $this->value = $this->is_negative ? '-' . $temp->value : $temp->value;
+ $this->is_negative = false;
+ break;
+ default:
+ $x = ( strlen($x) & 1 ) ? '0' . $x : $x;
+ $temp = new Math_BigInteger(pack('H*', $x), 256);
+ $this->value = $temp->value;
+ }
+
+ if ($is_negative) {
+ $temp = $this->add(new Math_BigInteger('-1'));
+ $this->value = $temp->value;
+ }
+ break;
+ case 10:
+ case -10:
+ // (?<!^)(?:-).*: find any -'s that aren't at the beginning and then any characters that follow that
+ // (?<=^|-)0*: find any 0's that are preceded by the start of the string or by a - (ie. octals)
+ // [^-0-9].*: find any non-numeric characters and then any characters that follow that
+ $x = preg_replace('#(?<!^)(?:-).*|(?<=^|-)0*|[^-0-9].*#', '', $x);
+
+ switch ( MATH_BIGINTEGER_MODE ) {
+ case MATH_BIGINTEGER_MODE_GMP:
+ $this->value = gmp_init($x);
+ break;
+ case MATH_BIGINTEGER_MODE_BCMATH:
+ // explicitly casting $x to a string is necessary, here, since doing $x[0] on -1 yields different
+ // results then doing it on '-1' does (modInverse does $x[0])
+ $this->value = $x === '-' ? '0' : (string) $x;
+ break;
+ default:
+ $temp = new Math_BigInteger();
+
+ $multiplier = new Math_BigInteger();
+ $multiplier->value = array(MATH_BIGINTEGER_MAX10);
+
+ if ($x[0] == '-') {
+ $this->is_negative = true;
+ $x = substr($x, 1);
+ }
+
+ $x = str_pad($x, strlen($x) + ((MATH_BIGINTEGER_MAX10_LEN - 1) * strlen($x)) % MATH_BIGINTEGER_MAX10_LEN, 0, STR_PAD_LEFT);
+
+ while (strlen($x)) {
+ $temp = $temp->multiply($multiplier);
+ $temp = $temp->add(new Math_BigInteger($this->_int2bytes(substr($x, 0, MATH_BIGINTEGER_MAX10_LEN)), 256));
+ $x = substr($x, MATH_BIGINTEGER_MAX10_LEN);
+ }
+
+ $this->value = $temp->value;
+ }
+ break;
+ case 2: // base-2 support originally implemented by Lluis Pamies - thanks!
+ case -2:
+ if ($base > 0 && $x[0] == '-') {
+ $this->is_negative = true;
+ $x = substr($x, 1);
+ }
+
+ $x = preg_replace('#^([01]*).*#', '$1', $x);
+ $x = str_pad($x, strlen($x) + (3 * strlen($x)) % 4, 0, STR_PAD_LEFT);
+
+ $str = '0x';
+ while (strlen($x)) {
+ $part = substr($x, 0, 4);
+ $str.= dechex(bindec($part));
+ $x = substr($x, 4);
+ }
+
+ if ($this->is_negative) {
+ $str = '-' . $str;
+ }
+
+ $temp = new Math_BigInteger($str, 8 * $base); // ie. either -16 or +16
+ $this->value = $temp->value;
+ $this->is_negative = $temp->is_negative;
+
+ break;
+ default:
+ // base not supported, so we'll let $this == 0
+ }
+ }
+
+ /**
+ * Converts a BigInteger to a byte string (eg. base-256).
+ *
+ * Negative numbers are saved as positive numbers, unless $twos_compliment is set to true, at which point, they're
+ * saved as two's compliment.
+ *
+ * Here's an example:
+ * <code>
+ * <?php
+ * include('Math/BigInteger.php');
+ *
+ * $a = new Math_BigInteger('65');
+ *
+ * echo $a->toBytes(); // outputs chr(65)
+ * ?>
+ * </code>
+ *
+ * @param Boolean $twos_compliment
+ * @return String
+ * @access public
+ * @internal Converts a base-2**26 number to base-2**8
+ */
+ function toBytes($twos_compliment = false)
+ {
+ if ($twos_compliment) {
+ $comparison = $this->compare(new Math_BigInteger());
+ if ($comparison == 0) {
+ return $this->precision > 0 ? str_repeat(chr(0), ($this->precision + 1) >> 3) : '';
+ }
+
+ $temp = $comparison < 0 ? $this->add(new Math_BigInteger(1)) : $this->copy();
+ $bytes = $temp->toBytes();
+
+ if (empty($bytes)) { // eg. if the number we're trying to convert is -1
+ $bytes = chr(0);
+ }
+
+ if (ord($bytes[0]) & 0x80) {
+ $bytes = chr(0) . $bytes;
+ }
+
+ return $comparison < 0 ? ~$bytes : $bytes;
+ }
+
+ switch ( MATH_BIGINTEGER_MODE ) {
+ case MATH_BIGINTEGER_MODE_GMP:
+ if (gmp_cmp($this->value, gmp_init(0)) == 0) {
+ return $this->precision > 0 ? str_repeat(chr(0), ($this->precision + 1) >> 3) : '';
+ }
+
+ $temp = gmp_strval(gmp_abs($this->value), 16);
+ $temp = ( strlen($temp) & 1 ) ? '0' . $temp : $temp;
+ $temp = pack('H*', $temp);
+
+ return $this->precision > 0 ?
+ substr(str_pad($temp, $this->precision >> 3, chr(0), STR_PAD_LEFT), -($this->precision >> 3)) :
+ ltrim($temp, chr(0));
+ case MATH_BIGINTEGER_MODE_BCMATH:
+ if ($this->value === '0') {
+ return $this->precision > 0 ? str_repeat(chr(0), ($this->precision + 1) >> 3) : '';
+ }
+
+ $value = '';
+ $current = $this->value;
+
+ if ($current[0] == '-') {
+ $current = substr($current, 1);
+ }
+
+ while (bccomp($current, '0', 0) > 0) {
+ $temp = bcmod($current, '16777216');
+ $value = chr($temp >> 16) . chr($temp >> 8) . chr($temp) . $value;
+ $current = bcdiv($current, '16777216', 0);
+ }
+
+ return $this->precision > 0 ?
+ substr(str_pad($value, $this->precision >> 3, chr(0), STR_PAD_LEFT), -($this->precision >> 3)) :
+ ltrim($value, chr(0));
+ }
+
+ if (!count($this->value)) {
+ return $this->precision > 0 ? str_repeat(chr(0), ($this->precision + 1) >> 3) : '';
+ }
+ $result = $this->_int2bytes($this->value[count($this->value) - 1]);
+
+ $temp = $this->copy();
+
+ for ($i = count($temp->value) - 2; $i >= 0; --$i) {
+ $temp->_base256_lshift($result, MATH_BIGINTEGER_BASE);
+ $result = $result | str_pad($temp->_int2bytes($temp->value[$i]), strlen($result), chr(0), STR_PAD_LEFT);
+ }
+
+ return $this->precision > 0 ?
+ str_pad(substr($result, -(($this->precision + 7) >> 3)), ($this->precision + 7) >> 3, chr(0), STR_PAD_LEFT) :
+ $result;
+ }
+
+ /**
+ * Converts a BigInteger to a hex string (eg. base-16)).
+ *
+ * Negative numbers are saved as positive numbers, unless $twos_compliment is set to true, at which point, they're
+ * saved as two's compliment.
+ *
+ * Here's an example:
+ * <code>
+ * <?php
+ * include('Math/BigInteger.php');
+ *
+ * $a = new Math_BigInteger('65');
+ *
+ * echo $a->toHex(); // outputs '41'
+ * ?>
+ * </code>
+ *
+ * @param Boolean $twos_compliment
+ * @return String
+ * @access public
+ * @internal Converts a base-2**26 number to base-2**8
+ */
+ function toHex($twos_compliment = false)
+ {
+ return bin2hex($this->toBytes($twos_compliment));
+ }
+
+ /**
+ * Converts a BigInteger to a bit string (eg. base-2).
+ *
+ * Negative numbers are saved as positive numbers, unless $twos_compliment is set to true, at which point, they're
+ * saved as two's compliment.
+ *
+ * Here's an example:
+ * <code>
+ * <?php
+ * include('Math/BigInteger.php');
+ *
+ * $a = new Math_BigInteger('65');
+ *
+ * echo $a->toBits(); // outputs '1000001'
+ * ?>
+ * </code>
+ *
+ * @param Boolean $twos_compliment
+ * @return String
+ * @access public
+ * @internal Converts a base-2**26 number to base-2**2
+ */
+ function toBits($twos_compliment = false)
+ {
+ $hex = $this->toHex($twos_compliment);
+ $bits = '';
+ for ($i = strlen($hex) - 8, $start = strlen($hex) & 7; $i >= $start; $i-=8) {
+ $bits = str_pad(decbin(hexdec(substr($hex, $i, 8))), 32, '0', STR_PAD_LEFT) . $bits;
+ }
+ if ($start) { // hexdec('') == 0
+ $bits = str_pad(decbin(hexdec(substr($hex, 0, $start))), 8, '0', STR_PAD_LEFT) . $bits;
+ }
+ $result = $this->precision > 0 ? substr($bits, -$this->precision) : ltrim($bits, '0');
+
+ if ($twos_compliment && $this->compare(new Math_BigInteger()) > 0 && $this->precision <= 0) {
+ return '0' . $result;
+ }
+
+ return $result;
+ }
+
+ /**
+ * Converts a BigInteger to a base-10 number.
+ *
+ * Here's an example:
+ * <code>
+ * <?php
+ * include('Math/BigInteger.php');
+ *
+ * $a = new Math_BigInteger('50');
+ *
+ * echo $a->toString(); // outputs 50
+ * ?>
+ * </code>
+ *
+ * @return String
+ * @access public
+ * @internal Converts a base-2**26 number to base-10**7 (which is pretty much base-10)
+ */
+ function toString()
+ {
+ switch ( MATH_BIGINTEGER_MODE ) {
+ case MATH_BIGINTEGER_MODE_GMP:
+ return gmp_strval($this->value);
+ case MATH_BIGINTEGER_MODE_BCMATH:
+ if ($this->value === '0') {
+ return '0';
+ }
+
+ return ltrim($this->value, '0');
+ }
+
+ if (!count($this->value)) {
+ return '0';
+ }
+
+ $temp = $this->copy();
+ $temp->is_negative = false;
+
+ $divisor = new Math_BigInteger();
+ $divisor->value = array(MATH_BIGINTEGER_MAX10);
+ $result = '';
+ while (count($temp->value)) {
+ list($temp, $mod) = $temp->divide($divisor);
+ $result = str_pad(isset($mod->value[0]) ? $mod->value[0] : '', MATH_BIGINTEGER_MAX10_LEN, '0', STR_PAD_LEFT) . $result;
+ }
+ $result = ltrim($result, '0');
+ if (empty($result)) {
+ $result = '0';
+ }
+
+ if ($this->is_negative) {
+ $result = '-' . $result;
+ }
+
+ return $result;
+ }
+
+ /**
+ * Copy an object
+ *
+ * PHP5 passes objects by reference while PHP4 passes by value. As such, we need a function to guarantee
+ * that all objects are passed by value, when appropriate. More information can be found here:
+ *
+ * {@link http://php.net/language.oop5.basic#51624}
+ *
+ * @access public
+ * @see __clone()
+ * @return Math_BigInteger
+ */
+ function copy()
+ {
+ $temp = new Math_BigInteger();
+ $temp->value = $this->value;
+ $temp->is_negative = $this->is_negative;
+ $temp->generator = $this->generator;
+ $temp->precision = $this->precision;
+ $temp->bitmask = $this->bitmask;
+ return $temp;
+ }
+
+ /**
+ * __toString() magic method
+ *
+ * Will be called, automatically, if you're supporting just PHP5. If you're supporting PHP4, you'll need to call
+ * toString().
+ *
+ * @access public
+ * @internal Implemented per a suggestion by Techie-Michael - thanks!
+ */
+ function __toString()
+ {
+ return $this->toString();
+ }
+
+ /**
+ * __clone() magic method
+ *
+ * Although you can call Math_BigInteger::__toString() directly in PHP5, you cannot call Math_BigInteger::__clone()
+ * directly in PHP5. You can in PHP4 since it's not a magic method, but in PHP5, you have to call it by using the PHP5
+ * only syntax of $y = clone $x. As such, if you're trying to write an application that works on both PHP4 and PHP5,
+ * call Math_BigInteger::copy(), instead.
+ *
+ * @access public
+ * @see copy()
+ * @return Math_BigInteger
+ */
+ function __clone()
+ {
+ return $this->copy();
+ }
+
+ /**
+ * __sleep() magic method
+ *
+ * Will be called, automatically, when serialize() is called on a Math_BigInteger object.
+ *
+ * @see __wakeup()
+ * @access public
+ */
+ function __sleep()
+ {
+ $this->hex = $this->toHex(true);
+ $vars = array('hex');
+ if ($this->generator != 'mt_rand') {
+ $vars[] = 'generator';
+ }
+ if ($this->precision > 0) {
+ $vars[] = 'precision';
+ }
+ return $vars;
+
+ }
+
+ /**
+ * __wakeup() magic method
+ *
+ * Will be called, automatically, when unserialize() is called on a Math_BigInteger object.
+ *
+ * @see __sleep()
+ * @access public
+ */
+ function __wakeup()
+ {
+ $temp = new Math_BigInteger($this->hex, -16);
+ $this->value = $temp->value;
+ $this->is_negative = $temp->is_negative;
+ $this->setRandomGenerator($this->generator);
+ if ($this->precision > 0) {
+ // recalculate $this->bitmask
+ $this->setPrecision($this->precision);
+ }
+ }
+
+ /**
+ * Adds two BigIntegers.
+ *
+ * Here's an example:
+ * <code>
+ * <?php
+ * include('Math/BigInteger.php');
+ *
+ * $a = new Math_BigInteger('10');
+ * $b = new Math_BigInteger('20');
+ *
+ * $c = $a->add($b);
+ *
+ * echo $c->toString(); // outputs 30
+ * ?>
+ * </code>
+ *
+ * @param Math_BigInteger $y
+ * @return Math_BigInteger
+ * @access public
+ * @internal Performs base-2**52 addition
+ */
+ function add($y)
+ {
+ switch ( MATH_BIGINTEGER_MODE ) {
+ case MATH_BIGINTEGER_MODE_GMP:
+ $temp = new Math_BigInteger();
+ $temp->value = gmp_add($this->value, $y->value);
+
+ return $this->_normalize($temp);
+ case MATH_BIGINTEGER_MODE_BCMATH:
+ $temp = new Math_BigInteger();
+ $temp->value = bcadd($this->value, $y->value, 0);
+
+ return $this->_normalize($temp);
+ }
+
+ $temp = $this->_add($this->value, $this->is_negative, $y->value, $y->is_negative);
+
+ $result = new Math_BigInteger();
+ $result->value = $temp[MATH_BIGINTEGER_VALUE];
+ $result->is_negative = $temp[MATH_BIGINTEGER_SIGN];
+
+ return $this->_normalize($result);
+ }
+
+ /**
+ * Performs addition.
+ *
+ * @param Array $x_value
+ * @param Boolean $x_negative
+ * @param Array $y_value
+ * @param Boolean $y_negative
+ * @return Array
+ * @access private
+ */
+ function _add($x_value, $x_negative, $y_value, $y_negative)
+ {
+ $x_size = count($x_value);
+ $y_size = count($y_value);
+
+ if ($x_size == 0) {
+ return array(
+ MATH_BIGINTEGER_VALUE => $y_value,
+ MATH_BIGINTEGER_SIGN => $y_negative
+ );
+ } else if ($y_size == 0) {
+ return array(
+ MATH_BIGINTEGER_VALUE => $x_value,
+ MATH_BIGINTEGER_SIGN => $x_negative
+ );
+ }
+
+ // subtract, if appropriate
+ if ( $x_negative != $y_negative ) {
+ if ( $x_value == $y_value ) {
+ return array(
+ MATH_BIGINTEGER_VALUE => array(),
+ MATH_BIGINTEGER_SIGN => false
+ );
+ }
+
+ $temp = $this->_subtract($x_value, false, $y_value, false);
+ $temp[MATH_BIGINTEGER_SIGN] = $this->_compare($x_value, false, $y_value, false) > 0 ?
+ $x_negative : $y_negative;
+
+ return $temp;
+ }
+
+ if ($x_size < $y_size) {
+ $size = $x_size;
+ $value = $y_value;
+ } else {
+ $size = $y_size;
+ $value = $x_value;
+ }
+
+ $value[] = 0; // just in case the carry adds an extra digit
+
+ $carry = 0;
+ for ($i = 0, $j = 1; $j < $size; $i+=2, $j+=2) {
+ $sum = $x_value[$j] * MATH_BIGINTEGER_BASE_FULL + $x_value[$i] + $y_value[$j] * MATH_BIGINTEGER_BASE_FULL + $y_value[$i] + $carry;
+ $carry = $sum >= MATH_BIGINTEGER_MAX_DIGIT2; // eg. floor($sum / 2**52); only possible values (in any base) are 0 and 1
+ $sum = $carry ? $sum - MATH_BIGINTEGER_MAX_DIGIT2 : $sum;
+
+ $temp = (int) ($sum / MATH_BIGINTEGER_BASE_FULL);
+
+ $value[$i] = (int) ($sum - MATH_BIGINTEGER_BASE_FULL * $temp); // eg. a faster alternative to fmod($sum, 0x4000000)
+ $value[$j] = $temp;
+ }
+
+ if ($j == $size) { // ie. if $y_size is odd
+ $sum = $x_value[$i] + $y_value[$i] + $carry;
+ $carry = $sum >= MATH_BIGINTEGER_BASE_FULL;
+ $value[$i] = $carry ? $sum - MATH_BIGINTEGER_BASE_FULL : $sum;
+ ++$i; // ie. let $i = $j since we've just done $value[$i]
+ }
+
+ if ($carry) {
+ for (; $value[$i] == MATH_BIGINTEGER_MAX_DIGIT; ++$i) {
+ $value[$i] = 0;
+ }
+ ++$value[$i];
+ }
+
+ return array(
+ MATH_BIGINTEGER_VALUE => $this->_trim($value),
+ MATH_BIGINTEGER_SIGN => $x_negative
+ );
+ }
+
+ /**
+ * Subtracts two BigIntegers.
+ *
+ * Here's an example:
+ * <code>
+ * <?php
+ * include('Math/BigInteger.php');
+ *
+ * $a = new Math_BigInteger('10');
+ * $b = new Math_BigInteger('20');
+ *
+ * $c = $a->subtract($b);
+ *
+ * echo $c->toString(); // outputs -10
+ * ?>
+ * </code>
+ *
+ * @param Math_BigInteger $y
+ * @return Math_BigInteger
+ * @access public
+ * @internal Performs base-2**52 subtraction
+ */
+ function subtract($y)
+ {
+ switch ( MATH_BIGINTEGER_MODE ) {
+ case MATH_BIGINTEGER_MODE_GMP:
+ $temp = new Math_BigInteger();
+ $temp->value = gmp_sub($this->value, $y->value);
+
+ return $this->_normalize($temp);
+ case MATH_BIGINTEGER_MODE_BCMATH:
+ $temp = new Math_BigInteger();
+ $temp->value = bcsub($this->value, $y->value, 0);
+
+ return $this->_normalize($temp);
+ }
+
+ $temp = $this->_subtract($this->value, $this->is_negative, $y->value, $y->is_negative);
+
+ $result = new Math_BigInteger();
+ $result->value = $temp[MATH_BIGINTEGER_VALUE];
+ $result->is_negative = $temp[MATH_BIGINTEGER_SIGN];
+
+ return $this->_normalize($result);
+ }
+
+ /**
+ * Performs subtraction.
+ *
+ * @param Array $x_value
+ * @param Boolean $x_negative
+ * @param Array $y_value
+ * @param Boolean $y_negative
+ * @return Array
+ * @access private
+ */
+ function _subtract($x_value, $x_negative, $y_value, $y_negative)
+ {
+ $x_size = count($x_value);
+ $y_size = count($y_value);
+
+ if ($x_size == 0) {
+ return array(
+ MATH_BIGINTEGER_VALUE => $y_value,
+ MATH_BIGINTEGER_SIGN => !$y_negative
+ );
+ } else if ($y_size == 0) {
+ return array(
+ MATH_BIGINTEGER_VALUE => $x_value,
+ MATH_BIGINTEGER_SIGN => $x_negative
+ );
+ }
+
+ // add, if appropriate (ie. -$x - +$y or +$x - -$y)
+ if ( $x_negative != $y_negative ) {
+ $temp = $this->_add($x_value, false, $y_value, false);
+ $temp[MATH_BIGINTEGER_SIGN] = $x_negative;
+
+ return $temp;
+ }
+
+ $diff = $this->_compare($x_value, $x_negative, $y_value, $y_negative);
+
+ if ( !$diff ) {
+ return array(
+ MATH_BIGINTEGER_VALUE => array(),
+ MATH_BIGINTEGER_SIGN => false
+ );
+ }
+
+ // switch $x and $y around, if appropriate.
+ if ( (!$x_negative && $diff < 0) || ($x_negative && $diff > 0) ) {
+ $temp = $x_value;
+ $x_value = $y_value;
+ $y_value = $temp;
+
+ $x_negative = !$x_negative;
+
+ $x_size = count($x_value);
+ $y_size = count($y_value);
+ }
+
+ // at this point, $x_value should be at least as big as - if not bigger than - $y_value
+
+ $carry = 0;
+ for ($i = 0, $j = 1; $j < $y_size; $i+=2, $j+=2) {
+ $sum = $x_value[$j] * MATH_BIGINTEGER_BASE_FULL + $x_value[$i] - $y_value[$j] * MATH_BIGINTEGER_BASE_FULL - $y_value[$i] - $carry;
+ $carry = $sum < 0; // eg. floor($sum / 2**52); only possible values (in any base) are 0 and 1
+ $sum = $carry ? $sum + MATH_BIGINTEGER_MAX_DIGIT2 : $sum;
+
+ $temp = (int) ($sum / MATH_BIGINTEGER_BASE_FULL);
+
+ $x_value[$i] = (int) ($sum - MATH_BIGINTEGER_BASE_FULL * $temp);
+ $x_value[$j] = $temp;
+ }
+
+ if ($j == $y_size) { // ie. if $y_size is odd
+ $sum = $x_value[$i] - $y_value[$i] - $carry;
+ $carry = $sum < 0;
+ $x_value[$i] = $carry ? $sum + MATH_BIGINTEGER_BASE_FULL : $sum;
+ ++$i;
+ }
+
+ if ($carry) {
+ for (; !$x_value[$i]; ++$i) {
+ $x_value[$i] = MATH_BIGINTEGER_MAX_DIGIT;
+ }
+ --$x_value[$i];
+ }
+
+ return array(
+ MATH_BIGINTEGER_VALUE => $this->_trim($x_value),
+ MATH_BIGINTEGER_SIGN => $x_negative
+ );
+ }
+
+ /**
+ * Multiplies two BigIntegers
+ *
+ * Here's an example:
+ * <code>
+ * <?php
+ * include('Math/BigInteger.php');
+ *
+ * $a = new Math_BigInteger('10');
+ * $b = new Math_BigInteger('20');
+ *
+ * $c = $a->multiply($b);
+ *
+ * echo $c->toString(); // outputs 200
+ * ?>
+ * </code>
+ *
+ * @param Math_BigInteger $x
+ * @return Math_BigInteger
+ * @access public
+ */
+ function multiply($x)
+ {
+ switch ( MATH_BIGINTEGER_MODE ) {
+ case MATH_BIGINTEGER_MODE_GMP:
+ $temp = new Math_BigInteger();
+ $temp->value = gmp_mul($this->value, $x->value);
+
+ return $this->_normalize($temp);
+ case MATH_BIGINTEGER_MODE_BCMATH:
+ $temp = new Math_BigInteger();
+ $temp->value = bcmul($this->value, $x->value, 0);
+
+ return $this->_normalize($temp);
+ }
+
+ $temp = $this->_multiply($this->value, $this->is_negative, $x->value, $x->is_negative);
+
+ $product = new Math_BigInteger();
+ $product->value = $temp[MATH_BIGINTEGER_VALUE];
+ $product->is_negative = $temp[MATH_BIGINTEGER_SIGN];
+
+ return $this->_normalize($product);
+ }
+
+ /**
+ * Performs multiplication.
+ *
+ * @param Array $x_value
+ * @param Boolean $x_negative
+ * @param Array $y_value
+ * @param Boolean $y_negative
+ * @return Array
+ * @access private
+ */
+ function _multiply($x_value, $x_negative, $y_value, $y_negative)
+ {
+ //if ( $x_value == $y_value ) {
+ // return array(
+ // MATH_BIGINTEGER_VALUE => $this->_square($x_value),
+ // MATH_BIGINTEGER_SIGN => $x_sign != $y_value
+ // );
+ //}
+
+ $x_length = count($x_value);
+ $y_length = count($y_value);
+
+ if ( !$x_length || !$y_length ) { // a 0 is being multiplied
+ return array(
+ MATH_BIGINTEGER_VALUE => array(),
+ MATH_BIGINTEGER_SIGN => false
+ );
+ }
+
+ return array(
+ MATH_BIGINTEGER_VALUE => min($x_length, $y_length) < 2 * MATH_BIGINTEGER_KARATSUBA_CUTOFF ?
+ $this->_trim($this->_regularMultiply($x_value, $y_value)) :
+ $this->_trim($this->_karatsuba($x_value, $y_value)),
+ MATH_BIGINTEGER_SIGN => $x_negative != $y_negative
+ );
+ }
+
+ /**
+ * Performs long multiplication on two BigIntegers
+ *
+ * Modeled after 'multiply' in MutableBigInteger.java.
+ *
+ * @param Array $x_value
+ * @param Array $y_value
+ * @return Array
+ * @access private
+ */
+ function _regularMultiply($x_value, $y_value)
+ {
+ $x_length = count($x_value);
+ $y_length = count($y_value);
+
+ if ( !$x_length || !$y_length ) { // a 0 is being multiplied
+ return array();
+ }
+
+ if ( $x_length < $y_length ) {
+ $temp = $x_value;
+ $x_value = $y_value;
+ $y_value = $temp;
+
+ $x_length = count($x_value);
+ $y_length = count($y_value);
+ }
+
+ $product_value = $this->_array_repeat(0, $x_length + $y_length);
+
+ // the following for loop could be removed if the for loop following it
+ // (the one with nested for loops) initially set $i to 0, but
+ // doing so would also make the result in one set of unnecessary adds,
+ // since on the outermost loops first pass, $product->value[$k] is going
+ // to always be 0
+
+ $carry = 0;
+
+ for ($j = 0; $j < $x_length; ++$j) { // ie. $i = 0
+ $temp = $x_value[$j] * $y_value[0] + $carry; // $product_value[$k] == 0
+ $carry = (int) ($temp / MATH_BIGINTEGER_BASE_FULL);
+ $product_value[$j] = (int) ($temp - MATH_BIGINTEGER_BASE_FULL * $carry);
+ }
+
+ $product_value[$j] = $carry;
+
+ // the above for loop is what the previous comment was talking about. the
+ // following for loop is the "one with nested for loops"
+ for ($i = 1; $i < $y_length; ++$i) {
+ $carry = 0;
+
+ for ($j = 0, $k = $i; $j < $x_length; ++$j, ++$k) {
+ $temp = $product_value[$k] + $x_value[$j] * $y_value[$i] + $carry;
+ $carry = (int) ($temp / MATH_BIGINTEGER_BASE_FULL);
+ $product_value[$k] = (int) ($temp - MATH_BIGINTEGER_BASE_FULL * $carry);
+ }
+
+ $product_value[$k] = $carry;
+ }
+
+ return $product_value;
+ }
+
+ /**
+ * Performs Karatsuba multiplication on two BigIntegers
+ *
+ * See {@link http://en.wikipedia.org/wiki/Karatsuba_algorithm Karatsuba algorithm} and
+ * {@link http://math.libtomcrypt.com/files/tommath.pdf#page=120 MPM 5.2.3}.
+ *
+ * @param Array $x_value
+ * @param Array $y_value
+ * @return Array
+ * @access private
+ */
+ function _karatsuba($x_value, $y_value)
+ {
+ $m = min(count($x_value) >> 1, count($y_value) >> 1);
+
+ if ($m < MATH_BIGINTEGER_KARATSUBA_CUTOFF) {
+ return $this->_regularMultiply($x_value, $y_value);
+ }
+
+ $x1 = array_slice($x_value, $m);
+ $x0 = array_slice($x_value, 0, $m);
+ $y1 = array_slice($y_value, $m);
+ $y0 = array_slice($y_value, 0, $m);
+
+ $z2 = $this->_karatsuba($x1, $y1);
+ $z0 = $this->_karatsuba($x0, $y0);
+
+ $z1 = $this->_add($x1, false, $x0, false);
+ $temp = $this->_add($y1, false, $y0, false);
+ $z1 = $this->_karatsuba($z1[MATH_BIGINTEGER_VALUE], $temp[MATH_BIGINTEGER_VALUE]);
+ $temp = $this->_add($z2, false, $z0, false);
+ $z1 = $this->_subtract($z1, false, $temp[MATH_BIGINTEGER_VALUE], false);
+
+ $z2 = array_merge(array_fill(0, 2 * $m, 0), $z2);
+ $z1[MATH_BIGINTEGER_VALUE] = array_merge(array_fill(0, $m, 0), $z1[MATH_BIGINTEGER_VALUE]);
+
+ $xy = $this->_add($z2, false, $z1[MATH_BIGINTEGER_VALUE], $z1[MATH_BIGINTEGER_SIGN]);
+ $xy = $this->_add($xy[MATH_BIGINTEGER_VALUE], $xy[MATH_BIGINTEGER_SIGN], $z0, false);
+
+ return $xy[MATH_BIGINTEGER_VALUE];
+ }
+
+ /**
+ * Performs squaring
+ *
+ * @param Array $x
+ * @return Array
+ * @access private
+ */
+ function _square($x = false)
+ {
+ return count($x) < 2 * MATH_BIGINTEGER_KARATSUBA_CUTOFF ?
+ $this->_trim($this->_baseSquare($x)) :
+ $this->_trim($this->_karatsubaSquare($x));
+ }
+
+ /**
+ * Performs traditional squaring on two BigIntegers
+ *
+ * Squaring can be done faster than multiplying a number by itself can be. See
+ * {@link http://www.cacr.math.uwaterloo.ca/hac/about/chap14.pdf#page=7 HAC 14.2.4} /
+ * {@link http://math.libtomcrypt.com/files/tommath.pdf#page=141 MPM 5.3} for more information.
+ *
+ * @param Array $value
+ * @return Array
+ * @access private
+ */
+ function _baseSquare($value)
+ {
+ if ( empty($value) ) {
+ return array();
+ }
+ $square_value = $this->_array_repeat(0, 2 * count($value));
+
+ for ($i = 0, $max_index = count($value) - 1; $i <= $max_index; ++$i) {
+ $i2 = $i << 1;
+
+ $temp = $square_value[$i2] + $value[$i] * $value[$i];
+ $carry = (int) ($temp / MATH_BIGINTEGER_BASE_FULL);
+ $square_value[$i2] = (int) ($temp - MATH_BIGINTEGER_BASE_FULL * $carry);
+
+ // note how we start from $i+1 instead of 0 as we do in multiplication.
+ for ($j = $i + 1, $k = $i2 + 1; $j <= $max_index; ++$j, ++$k) {
+ $temp = $square_value[$k] + 2 * $value[$j] * $value[$i] + $carry;
+ $carry = (int) ($temp / MATH_BIGINTEGER_BASE_FULL);
+ $square_value[$k] = (int) ($temp - MATH_BIGINTEGER_BASE_FULL * $carry);
+ }
+
+ // the following line can yield values larger 2**15. at this point, PHP should switch
+ // over to floats.
+ $square_value[$i + $max_index + 1] = $carry;
+ }
+
+ return $square_value;
+ }
+
+ /**
+ * Performs Karatsuba "squaring" on two BigIntegers
+ *
+ * See {@link http://en.wikipedia.org/wiki/Karatsuba_algorithm Karatsuba algorithm} and
+ * {@link http://math.libtomcrypt.com/files/tommath.pdf#page=151 MPM 5.3.4}.
+ *
+ * @param Array $value
+ * @return Array
+ * @access private
+ */
+ function _karatsubaSquare($value)
+ {
+ $m = count($value) >> 1;
+
+ if ($m < MATH_BIGINTEGER_KARATSUBA_CUTOFF) {
+ return $this->_baseSquare($value);
+ }
+
+ $x1 = array_slice($value, $m);
+ $x0 = array_slice($value, 0, $m);
+
+ $z2 = $this->_karatsubaSquare($x1);
+ $z0 = $this->_karatsubaSquare($x0);
+
+ $z1 = $this->_add($x1, false, $x0, false);
+ $z1 = $this->_karatsubaSquare($z1[MATH_BIGINTEGER_VALUE]);
+ $temp = $this->_add($z2, false, $z0, false);
+ $z1 = $this->_subtract($z1, false, $temp[MATH_BIGINTEGER_VALUE], false);
+
+ $z2 = array_merge(array_fill(0, 2 * $m, 0), $z2);
+ $z1[MATH_BIGINTEGER_VALUE] = array_merge(array_fill(0, $m, 0), $z1[MATH_BIGINTEGER_VALUE]);
+
+ $xx = $this->_add($z2, false, $z1[MATH_BIGINTEGER_VALUE], $z1[MATH_BIGINTEGER_SIGN]);
+ $xx = $this->_add($xx[MATH_BIGINTEGER_VALUE], $xx[MATH_BIGINTEGER_SIGN], $z0, false);
+
+ return $xx[MATH_BIGINTEGER_VALUE];
+ }
+
+ /**
+ * Divides two BigIntegers.
+ *
+ * Returns an array whose first element contains the quotient and whose second element contains the
+ * "common residue". If the remainder would be positive, the "common residue" and the remainder are the
+ * same. If the remainder would be negative, the "common residue" is equal to the sum of the remainder
+ * and the divisor (basically, the "common residue" is the first positive modulo).
+ *
+ * Here's an example:
+ * <code>
+ * <?php
+ * include('Math/BigInteger.php');
+ *
+ * $a = new Math_BigInteger('10');
+ * $b = new Math_BigInteger('20');
+ *
+ * list($quotient, $remainder) = $a->divide($b);
+ *
+ * echo $quotient->toString(); // outputs 0
+ * echo "\r\n";
+ * echo $remainder->toString(); // outputs 10
+ * ?>
+ * </code>
+ *
+ * @param Math_BigInteger $y
+ * @return Array
+ * @access public
+ * @internal This function is based off of {@link http://www.cacr.math.uwaterloo.ca/hac/about/chap14.pdf#page=9 HAC 14.20}.
+ */
+ function divide($y)
+ {
+ switch ( MATH_BIGINTEGER_MODE ) {
+ case MATH_BIGINTEGER_MODE_GMP:
+ $quotient = new Math_BigInteger();
+ $remainder = new Math_BigInteger();
+
+ list($quotient->value, $remainder->value) = gmp_div_qr($this->value, $y->value);
+
+ if (gmp_sign($remainder->value) < 0) {
+ $remainder->value = gmp_add($remainder->value, gmp_abs($y->value));
+ }
+
+ return array($this->_normalize($quotient), $this->_normalize($remainder));
+ case MATH_BIGINTEGER_MODE_BCMATH:
+ $quotient = new Math_BigInteger();
+ $remainder = new Math_BigInteger();
+
+ $quotient->value = bcdiv($this->value, $y->value, 0);
+ $remainder->value = bcmod($this->value, $y->value);
+
+ if ($remainder->value[0] == '-') {
+ $remainder->value = bcadd($remainder->value, $y->value[0] == '-' ? substr($y->value, 1) : $y->value, 0);
+ }
+
+ return array($this->_normalize($quotient), $this->_normalize($remainder));
+ }
+
+ if (count($y->value) == 1) {
+ list($q, $r) = $this->_divide_digit($this->value, $y->value[0]);
+ $quotient = new Math_BigInteger();
+ $remainder = new Math_BigInteger();
+ $quotient->value = $q;
+ $remainder->value = array($r);
+ $quotient->is_negative = $this->is_negative != $y->is_negative;
+ return array($this->_normalize($quotient), $this->_normalize($remainder));
+ }
+
+ static $zero;
+ if ( !isset($zero) ) {
+ $zero = new Math_BigInteger();
+ }
+
+ $x = $this->copy();
+ $y = $y->copy();
+
+ $x_sign = $x->is_negative;
+ $y_sign = $y->is_negative;
+
+ $x->is_negative = $y->is_negative = false;
+
+ $diff = $x->compare($y);
+
+ if ( !$diff ) {
+ $temp = new Math_BigInteger();
+ $temp->value = array(1);
+ $temp->is_negative = $x_sign != $y_sign;
+ return array($this->_normalize($temp), $this->_normalize(new Math_BigInteger()));
+ }
+
+ if ( $diff < 0 ) {
+ // if $x is negative, "add" $y.
+ if ( $x_sign ) {
+ $x = $y->subtract($x);
+ }
+ return array($this->_normalize(new Math_BigInteger()), $this->_normalize($x));
+ }
+
+ // normalize $x and $y as described in HAC 14.23 / 14.24
+ $msb = $y->value[count($y->value) - 1];
+ for ($shift = 0; !($msb & MATH_BIGINTEGER_MSB); ++$shift) {
+ $msb <<= 1;
+ }
+ $x->_lshift($shift);
+ $y->_lshift($shift);
+ $y_value = &$y->value;
+
+ $x_max = count($x->value) - 1;
+ $y_max = count($y->value) - 1;
+
+ $quotient = new Math_BigInteger();
+ $quotient_value = &$quotient->value;
+ $quotient_value = $this->_array_repeat(0, $x_max - $y_max + 1);
+
+ static $temp, $lhs, $rhs;
+ if (!isset($temp)) {
+ $temp = new Math_BigInteger();
+ $lhs = new Math_BigInteger();
+ $rhs = new Math_BigInteger();
+ }
+ $temp_value = &$temp->value;
+ $rhs_value = &$rhs->value;
+
+ // $temp = $y << ($x_max - $y_max-1) in base 2**26
+ $temp_value = array_merge($this->_array_repeat(0, $x_max - $y_max), $y_value);
+
+ while ( $x->compare($temp) >= 0 ) {
+ // calculate the "common residue"
+ ++$quotient_value[$x_max - $y_max];
+ $x = $x->subtract($temp);
+ $x_max = count($x->value) - 1;
+ }
+
+ for ($i = $x_max; $i >= $y_max + 1; --$i) {
+ $x_value = &$x->value;
+ $x_window = array(
+ isset($x_value[$i]) ? $x_value[$i] : 0,
+ isset($x_value[$i - 1]) ? $x_value[$i - 1] : 0,
+ isset($x_value[$i - 2]) ? $x_value[$i - 2] : 0
+ );
+ $y_window = array(
+ $y_value[$y_max],
+ ( $y_max > 0 ) ? $y_value[$y_max - 1] : 0
+ );
+
+ $q_index = $i - $y_max - 1;
+ if ($x_window[0] == $y_window[0]) {
+ $quotient_value[$q_index] = MATH_BIGINTEGER_MAX_DIGIT;
+ } else {
+ $quotient_value[$q_index] = (int) (
+ ($x_window[0] * MATH_BIGINTEGER_BASE_FULL + $x_window[1])
+ /
+ $y_window[0]
+ );
+ }
+
+ $temp_value = array($y_window[1], $y_window[0]);
+
+ $lhs->value = array($quotient_value[$q_index]);
+ $lhs = $lhs->multiply($temp);
+
+ $rhs_value = array($x_window[2], $x_window[1], $x_window[0]);
+
+ while ( $lhs->compare($rhs) > 0 ) {
+ --$quotient_value[$q_index];
+
+ $lhs->value = array($quotient_value[$q_index]);
+ $lhs = $lhs->multiply($temp);
+ }
+
+ $adjust = $this->_array_repeat(0, $q_index);
+ $temp_value = array($quotient_value[$q_index]);
+ $temp = $temp->multiply($y);
+ $temp_value = &$temp->value;
+ $temp_value = array_merge($adjust, $temp_value);
+
+ $x = $x->subtract($temp);
+
+ if ($x->compare($zero) < 0) {
+ $temp_value = array_merge($adjust, $y_value);
+ $x = $x->add($temp);
+
+ --$quotient_value[$q_index];
+ }
+
+ $x_max = count($x_value) - 1;
+ }
+
+ // unnormalize the remainder
+ $x->_rshift($shift);
+
+ $quotient->is_negative = $x_sign != $y_sign;
+
+ // calculate the "common residue", if appropriate
+ if ( $x_sign ) {
+ $y->_rshift($shift);
+ $x = $y->subtract($x);
+ }
+
+ return array($this->_normalize($quotient), $this->_normalize($x));
+ }
+
+ /**
+ * Divides a BigInteger by a regular integer
+ *
+ * abc / x = a00 / x + b0 / x + c / x
+ *
+ * @param Array $dividend
+ * @param Array $divisor
+ * @return Array
+ * @access private
+ */
+ function _divide_digit($dividend, $divisor)
+ {
+ $carry = 0;
+ $result = array();
+
+ for ($i = count($dividend) - 1; $i >= 0; --$i) {
+ $temp = MATH_BIGINTEGER_BASE_FULL * $carry + $dividend[$i];
+ $result[$i] = (int) ($temp / $divisor);
+ $carry = (int) ($temp - $divisor * $result[$i]);
+ }
+
+ return array($result, $carry);
+ }
+
+ /**
+ * Performs modular exponentiation.
+ *
+ * Here's an example:
+ * <code>
+ * <?php
+ * include('Math/BigInteger.php');
+ *
+ * $a = new Math_BigInteger('10');
+ * $b = new Math_BigInteger('20');
+ * $c = new Math_BigInteger('30');
+ *
+ * $c = $a->modPow($b, $c);
+ *
+ * echo $c->toString(); // outputs 10
+ * ?>
+ * </code>
+ *
+ * @param Math_BigInteger $e
+ * @param Math_BigInteger $n
+ * @return Math_BigInteger
+ * @access public
+ * @internal The most naive approach to modular exponentiation has very unreasonable requirements, and
+ * and although the approach involving repeated squaring does vastly better, it, too, is impractical
+ * for our purposes. The reason being that division - by far the most complicated and time-consuming
+ * of the basic operations (eg. +,-,*,/) - occurs multiple times within it.
+ *
+ * Modular reductions resolve this issue. Although an individual modular reduction takes more time
+ * then an individual division, when performed in succession (with the same modulo), they're a lot faster.
+ *
+ * The two most commonly used modular reductions are Barrett and Montgomery reduction. Montgomery reduction,
+ * although faster, only works when the gcd of the modulo and of the base being used is 1. In RSA, when the
+ * base is a power of two, the modulo - a product of two primes - is always going to have a gcd of 1 (because
+ * the product of two odd numbers is odd), but what about when RSA isn't used?
+ *
+ * In contrast, Barrett reduction has no such constraint. As such, some bigint implementations perform a
+ * Barrett reduction after every operation in the modpow function. Others perform Barrett reductions when the
+ * modulo is even and Montgomery reductions when the modulo is odd. BigInteger.java's modPow method, however,
+ * uses a trick involving the Chinese Remainder Theorem to factor the even modulo into two numbers - one odd and
+ * the other, a power of two - and recombine them, later. This is the method that this modPow function uses.
+ * {@link http://islab.oregonstate.edu/papers/j34monex.pdf Montgomery Reduction with Even Modulus} elaborates.
+ */
+ function modPow($e, $n)
+ {
+ $n = $this->bitmask !== false && $this->bitmask->compare($n) < 0 ? $this->bitmask : $n->abs();
+
+ if ($e->compare(new Math_BigInteger()) < 0) {
+ $e = $e->abs();
+
+ $temp = $this->modInverse($n);
+ if ($temp === false) {
+ return false;
+ }
+
+ return $this->_normalize($temp->modPow($e, $n));
+ }
+
+ if ( MATH_BIGINTEGER_MODE == MATH_BIGINTEGER_MODE_GMP ) {
+ $temp = new Math_BigInteger();
+ $temp->value = gmp_powm($this->value, $e->value, $n->value);
+
+ return $this->_normalize($temp);
+ }
+
+ if ($this->compare(new Math_BigInteger()) < 0 || $this->compare($n) > 0) {
+ list(, $temp) = $this->divide($n);
+ return $temp->modPow($e, $n);
+ }
+
+ if (defined('MATH_BIGINTEGER_OPENSSL_ENABLED')) {
+ $components = array(
+ 'modulus' => $n->toBytes(true),
+ 'publicExponent' => $e->toBytes(true)
+ );
+
+ $components = array(
+ 'modulus' => pack('Ca*a*', 2, $this->_encodeASN1Length(strlen($components['modulus'])), $components['modulus']),
+ 'publicExponent' => pack('Ca*a*', 2, $this->_encodeASN1Length(strlen($components['publicExponent'])), $components['publicExponent'])
+ );
+
+ $RSAPublicKey = pack('Ca*a*a*',
+ 48, $this->_encodeASN1Length(strlen($components['modulus']) + strlen($components['publicExponent'])),
+ $components['modulus'], $components['publicExponent']
+ );
+
+ $rsaOID = pack('H*', '300d06092a864886f70d0101010500'); // hex version of MA0GCSqGSIb3DQEBAQUA
+ $RSAPublicKey = chr(0) . $RSAPublicKey;
+ $RSAPublicKey = chr(3) . $this->_encodeASN1Length(strlen($RSAPublicKey)) . $RSAPublicKey;
+
+ $encapsulated = pack('Ca*a*',
+ 48, $this->_encodeASN1Length(strlen($rsaOID . $RSAPublicKey)), $rsaOID . $RSAPublicKey
+ );
+
+ $RSAPublicKey = "-----BEGIN PUBLIC KEY-----\r\n" .
+ chunk_split(base64_encode($encapsulated)) .
+ '-----END PUBLIC KEY-----';
+
+ $plaintext = str_pad($this->toBytes(), strlen($n->toBytes(true)) - 1, "\0", STR_PAD_LEFT);
+
+ if (openssl_public_encrypt($plaintext, $result, $RSAPublicKey, OPENSSL_NO_PADDING)) {
+ return new Math_BigInteger($result, 256);
+ }
+ }
+
+ if ( MATH_BIGINTEGER_MODE == MATH_BIGINTEGER_MODE_BCMATH ) {
+ $temp = new Math_BigInteger();
+ $temp->value = bcpowmod($this->value, $e->value, $n->value, 0);
+
+ return $this->_normalize($temp);
+ }
+
+ if ( empty($e->value) ) {
+ $temp = new Math_BigInteger();
+ $temp->value = array(1);
+ return $this->_normalize($temp);
+ }
+
+ if ( $e->value == array(1) ) {
+ list(, $temp) = $this->divide($n);
+ return $this->_normalize($temp);
+ }
+
+ if ( $e->value == array(2) ) {
+ $temp = new Math_BigInteger();
+ $temp->value = $this->_square($this->value);
+ list(, $temp) = $temp->divide($n);
+ return $this->_normalize($temp);
+ }
+
+ return $this->_normalize($this->_slidingWindow($e, $n, MATH_BIGINTEGER_BARRETT));
+
+ // is the modulo odd?
+ if ( $n->value[0] & 1 ) {
+ return $this->_normalize($this->_slidingWindow($e, $n, MATH_BIGINTEGER_MONTGOMERY));
+ }
+ // if it's not, it's even
+
+ // find the lowest set bit (eg. the max pow of 2 that divides $n)
+ for ($i = 0; $i < count($n->value); ++$i) {
+ if ( $n->value[$i] ) {
+ $temp = decbin($n->value[$i]);
+ $j = strlen($temp) - strrpos($temp, '1') - 1;
+ $j+= 26 * $i;
+ break;
+ }
+ }
+ // at this point, 2^$j * $n/(2^$j) == $n
+
+ $mod1 = $n->copy();
+ $mod1->_rshift($j);
+ $mod2 = new Math_BigInteger();
+ $mod2->value = array(1);
+ $mod2->_lshift($j);
+
+ $part1 = ( $mod1->value != array(1) ) ? $this->_slidingWindow($e, $mod1, MATH_BIGINTEGER_MONTGOMERY) : new Math_BigInteger();
+ $part2 = $this->_slidingWindow($e, $mod2, MATH_BIGINTEGER_POWEROF2);
+
+ $y1 = $mod2->modInverse($mod1);
+ $y2 = $mod1->modInverse($mod2);
+
+ $result = $part1->multiply($mod2);
+ $result = $result->multiply($y1);
+
+ $temp = $part2->multiply($mod1);
+ $temp = $temp->multiply($y2);
+
+ $result = $result->add($temp);
+ list(, $result) = $result->divide($n);
+
+ return $this->_normalize($result);
+ }
+
+ /**
+ * Performs modular exponentiation.
+ *
+ * Alias for Math_BigInteger::modPow()
+ *
+ * @param Math_BigInteger $e
+ * @param Math_BigInteger $n
+ * @return Math_BigInteger
+ * @access public
+ */
+ function powMod($e, $n)
+ {
+ return $this->modPow($e, $n);
+ }
+
+ /**
+ * Sliding Window k-ary Modular Exponentiation
+ *
+ * Based on {@link http://www.cacr.math.uwaterloo.ca/hac/about/chap14.pdf#page=27 HAC 14.85} /
+ * {@link http://math.libtomcrypt.com/files/tommath.pdf#page=210 MPM 7.7}. In a departure from those algorithims,
+ * however, this function performs a modular reduction after every multiplication and squaring operation.
+ * As such, this function has the same preconditions that the reductions being used do.
+ *
+ * @param Math_BigInteger $e
+ * @param Math_BigInteger $n
+ * @param Integer $mode
+ * @return Math_BigInteger
+ * @access private
+ */
+ function _slidingWindow($e, $n, $mode)
+ {
+ static $window_ranges = array(7, 25, 81, 241, 673, 1793); // from BigInteger.java's oddModPow function
+ //static $window_ranges = array(0, 7, 36, 140, 450, 1303, 3529); // from MPM 7.3.1
+
+ $e_value = $e->value;
+ $e_length = count($e_value) - 1;
+ $e_bits = decbin($e_value[$e_length]);
+ for ($i = $e_length - 1; $i >= 0; --$i) {
+ $e_bits.= str_pad(decbin($e_value[$i]), MATH_BIGINTEGER_BASE, '0', STR_PAD_LEFT);
+ }
+
+ $e_length = strlen($e_bits);
+
+ // calculate the appropriate window size.
+ // $window_size == 3 if $window_ranges is between 25 and 81, for example.
+ for ($i = 0, $window_size = 1; $e_length > $window_ranges[$i] && $i < count($window_ranges); ++$window_size, ++$i);
+
+ $n_value = $n->value;
+
+ // precompute $this^0 through $this^$window_size
+ $powers = array();
+ $powers[1] = $this->_prepareReduce($this->value, $n_value, $mode);
+ $powers[2] = $this->_squareReduce($powers[1], $n_value, $mode);
+
+ // we do every other number since substr($e_bits, $i, $j+1) (see below) is supposed to end
+ // in a 1. ie. it's supposed to be odd.
+ $temp = 1 << ($window_size - 1);
+ for ($i = 1; $i < $temp; ++$i) {
+ $i2 = $i << 1;
+ $powers[$i2 + 1] = $this->_multiplyReduce($powers[$i2 - 1], $powers[2], $n_value, $mode);
+ }
+
+ $result = array(1);
+ $result = $this->_prepareReduce($result, $n_value, $mode);
+
+ for ($i = 0; $i < $e_length; ) {
+ if ( !$e_bits[$i] ) {
+ $result = $this->_squareReduce($result, $n_value, $mode);
+ ++$i;
+ } else {
+ for ($j = $window_size - 1; $j > 0; --$j) {
+ if ( !empty($e_bits[$i + $j]) ) {
+ break;
+ }
+ }
+
+ for ($k = 0; $k <= $j; ++$k) {// eg. the length of substr($e_bits, $i, $j+1)
+ $result = $this->_squareReduce($result, $n_value, $mode);
+ }
+
+ $result = $this->_multiplyReduce($result, $powers[bindec(substr($e_bits, $i, $j + 1))], $n_value, $mode);
+
+ $i+=$j + 1;
+ }
+ }
+
+ $temp = new Math_BigInteger();
+ $temp->value = $this->_reduce($result, $n_value, $mode);
+
+ return $temp;
+ }
+
+ /**
+ * Modular reduction
+ *
+ * For most $modes this will return the remainder.
+ *
+ * @see _slidingWindow()
+ * @access private
+ * @param Array $x
+ * @param Array $n
+ * @param Integer $mode
+ * @return Array
+ */
+ function _reduce($x, $n, $mode)
+ {
+ switch ($mode) {
+ case MATH_BIGINTEGER_MONTGOMERY:
+ return $this->_montgomery($x, $n);
+ case MATH_BIGINTEGER_BARRETT:
+ return $this->_barrett($x, $n);
+ case MATH_BIGINTEGER_POWEROF2:
+ $lhs = new Math_BigInteger();
+ $lhs->value = $x;
+ $rhs = new Math_BigInteger();
+ $rhs->value = $n;
+ return $x->_mod2($n);
+ case MATH_BIGINTEGER_CLASSIC:
+ $lhs = new Math_BigInteger();
+ $lhs->value = $x;
+ $rhs = new Math_BigInteger();
+ $rhs->value = $n;
+ list(, $temp) = $lhs->divide($rhs);
+ return $temp->value;
+ case MATH_BIGINTEGER_NONE:
+ return $x;
+ default:
+ // an invalid $mode was provided
+ }
+ }
+
+ /**
+ * Modular reduction preperation
+ *
+ * @see _slidingWindow()
+ * @access private
+ * @param Array $x
+ * @param Array $n
+ * @param Integer $mode
+ * @return Array
+ */
+ function _prepareReduce($x, $n, $mode)
+ {
+ if ($mode == MATH_BIGINTEGER_MONTGOMERY) {
+ return $this->_prepMontgomery($x, $n);
+ }
+ return $this->_reduce($x, $n, $mode);
+ }
+
+ /**
+ * Modular multiply
+ *
+ * @see _slidingWindow()
+ * @access private
+ * @param Array $x
+ * @param Array $y
+ * @param Array $n
+ * @param Integer $mode
+ * @return Array
+ */
+ function _multiplyReduce($x, $y, $n, $mode)
+ {
+ if ($mode == MATH_BIGINTEGER_MONTGOMERY) {
+ return $this->_montgomeryMultiply($x, $y, $n);
+ }
+ $temp = $this->_multiply($x, false, $y, false);
+ return $this->_reduce($temp[MATH_BIGINTEGER_VALUE], $n, $mode);
+ }
+
+ /**
+ * Modular square
+ *
+ * @see _slidingWindow()
+ * @access private
+ * @param Array $x
+ * @param Array $n
+ * @param Integer $mode
+ * @return Array
+ */
+ function _squareReduce($x, $n, $mode)
+ {
+ if ($mode == MATH_BIGINTEGER_MONTGOMERY) {
+ return $this->_montgomeryMultiply($x, $x, $n);
+ }
+ return $this->_reduce($this->_square($x), $n, $mode);
+ }
+
+ /**
+ * Modulos for Powers of Two
+ *
+ * Calculates $x%$n, where $n = 2**$e, for some $e. Since this is basically the same as doing $x & ($n-1),
+ * we'll just use this function as a wrapper for doing that.
+ *
+ * @see _slidingWindow()
+ * @access private
+ * @param Math_BigInteger
+ * @return Math_BigInteger
+ */
+ function _mod2($n)
+ {
+ $temp = new Math_BigInteger();
+ $temp->value = array(1);
+ return $this->bitwise_and($n->subtract($temp));
+ }
+
+ /**
+ * Barrett Modular Reduction
+ *
+ * See {@link http://www.cacr.math.uwaterloo.ca/hac/about/chap14.pdf#page=14 HAC 14.3.3} /
+ * {@link http://math.libtomcrypt.com/files/tommath.pdf#page=165 MPM 6.2.5} for more information. Modified slightly,
+ * so as not to require negative numbers (initially, this script didn't support negative numbers).
+ *
+ * Employs "folding", as described at
+ * {@link http://www.cosic.esat.kuleuven.be/publications/thesis-149.pdf#page=66 thesis-149.pdf#page=66}. To quote from
+ * it, "the idea [behind folding] is to find a value x' such that x (mod m) = x' (mod m), with x' being smaller than x."
+ *
+ * Unfortunately, the "Barrett Reduction with Folding" algorithm described in thesis-149.pdf is not, as written, all that
+ * usable on account of (1) its not using reasonable radix points as discussed in
+ * {@link http://math.libtomcrypt.com/files/tommath.pdf#page=162 MPM 6.2.2} and (2) the fact that, even with reasonable
+ * radix points, it only works when there are an even number of digits in the denominator. The reason for (2) is that
+ * (x >> 1) + (x >> 1) != x / 2 + x / 2. If x is even, they're the same, but if x is odd, they're not. See the in-line
+ * comments for details.
+ *
+ * @see _slidingWindow()
+ * @access private
+ * @param Array $n
+ * @param Array $m
+ * @return Array
+ */
+ function _barrett($n, $m)
+ {
+ static $cache = array(
+ MATH_BIGINTEGER_VARIABLE => array(),
+ MATH_BIGINTEGER_DATA => array()
+ );
+
+ $m_length = count($m);
+
+ // if ($this->_compare($n, $this->_square($m)) >= 0) {
+ if (count($n) > 2 * $m_length) {
+ $lhs = new Math_BigInteger();
+ $rhs = new Math_BigInteger();
+ $lhs->value = $n;
+ $rhs->value = $m;
+ list(, $temp) = $lhs->divide($rhs);
+ return $temp->value;
+ }
+
+ // if (m.length >> 1) + 2 <= m.length then m is too small and n can't be reduced
+ if ($m_length < 5) {
+ return $this->_regularBarrett($n, $m);
+ }
+
+ // n = 2 * m.length
+
+ if ( ($key = array_search($m, $cache[MATH_BIGINTEGER_VARIABLE])) === false ) {
+ $key = count($cache[MATH_BIGINTEGER_VARIABLE]);
+ $cache[MATH_BIGINTEGER_VARIABLE][] = $m;
+
+ $lhs = new Math_BigInteger();
+ $lhs_value = &$lhs->value;
+ $lhs_value = $this->_array_repeat(0, $m_length + ($m_length >> 1));
+ $lhs_value[] = 1;
+ $rhs = new Math_BigInteger();
+ $rhs->value = $m;
+
+ list($u, $m1) = $lhs->divide($rhs);
+ $u = $u->value;
+ $m1 = $m1->value;
+
+ $cache[MATH_BIGINTEGER_DATA][] = array(
+ 'u' => $u, // m.length >> 1 (technically (m.length >> 1) + 1)
+ 'm1'=> $m1 // m.length
+ );
+ } else {
+ extract($cache[MATH_BIGINTEGER_DATA][$key]);
+ }
+
+ $cutoff = $m_length + ($m_length >> 1);
+ $lsd = array_slice($n, 0, $cutoff); // m.length + (m.length >> 1)
+ $msd = array_slice($n, $cutoff); // m.length >> 1
+ $lsd = $this->_trim($lsd);
+ $temp = $this->_multiply($msd, false, $m1, false);
+ $n = $this->_add($lsd, false, $temp[MATH_BIGINTEGER_VALUE], false); // m.length + (m.length >> 1) + 1
+
+ if ($m_length & 1) {
+ return $this->_regularBarrett($n[MATH_BIGINTEGER_VALUE], $m);
+ }
+
+ // (m.length + (m.length >> 1) + 1) - (m.length - 1) == (m.length >> 1) + 2
+ $temp = array_slice($n[MATH_BIGINTEGER_VALUE], $m_length - 1);
+ // if even: ((m.length >> 1) + 2) + (m.length >> 1) == m.length + 2
+ // if odd: ((m.length >> 1) + 2) + (m.length >> 1) == (m.length - 1) + 2 == m.length + 1
+ $temp = $this->_multiply($temp, false, $u, false);
+ // if even: (m.length + 2) - ((m.length >> 1) + 1) = m.length - (m.length >> 1) + 1
+ // if odd: (m.length + 1) - ((m.length >> 1) + 1) = m.length - (m.length >> 1)
+ $temp = array_slice($temp[MATH_BIGINTEGER_VALUE], ($m_length >> 1) + 1);
+ // if even: (m.length - (m.length >> 1) + 1) + m.length = 2 * m.length - (m.length >> 1) + 1
+ // if odd: (m.length - (m.length >> 1)) + m.length = 2 * m.length - (m.length >> 1)
+ $temp = $this->_multiply($temp, false, $m, false);
+
+ // at this point, if m had an odd number of digits, we'd be subtracting a 2 * m.length - (m.length >> 1) digit
+ // number from a m.length + (m.length >> 1) + 1 digit number. ie. there'd be an extra digit and the while loop
+ // following this comment would loop a lot (hence our calling _regularBarrett() in that situation).
+
+ $result = $this->_subtract($n[MATH_BIGINTEGER_VALUE], false, $temp[MATH_BIGINTEGER_VALUE], false);
+
+ while ($this->_compare($result[MATH_BIGINTEGER_VALUE], $result[MATH_BIGINTEGER_SIGN], $m, false) >= 0) {
+ $result = $this->_subtract($result[MATH_BIGINTEGER_VALUE], $result[MATH_BIGINTEGER_SIGN], $m, false);
+ }
+
+ return $result[MATH_BIGINTEGER_VALUE];
+ }
+
+ /**
+ * (Regular) Barrett Modular Reduction
+ *
+ * For numbers with more than four digits Math_BigInteger::_barrett() is faster. The difference between that and this
+ * is that this function does not fold the denominator into a smaller form.
+ *
+ * @see _slidingWindow()
+ * @access private
+ * @param Array $x
+ * @param Array $n
+ * @return Array
+ */
+ function _regularBarrett($x, $n)
+ {
+ static $cache = array(
+ MATH_BIGINTEGER_VARIABLE => array(),
+ MATH_BIGINTEGER_DATA => array()
+ );
+
+ $n_length = count($n);
+
+ if (count($x) > 2 * $n_length) {
+ $lhs = new Math_BigInteger();
+ $rhs = new Math_BigInteger();
+ $lhs->value = $x;
+ $rhs->value = $n;
+ list(, $temp) = $lhs->divide($rhs);
+ return $temp->value;
+ }
+
+ if ( ($key = array_search($n, $cache[MATH_BIGINTEGER_VARIABLE])) === false ) {
+ $key = count($cache[MATH_BIGINTEGER_VARIABLE]);
+ $cache[MATH_BIGINTEGER_VARIABLE][] = $n;
+ $lhs = new Math_BigInteger();
+ $lhs_value = &$lhs->value;
+ $lhs_value = $this->_array_repeat(0, 2 * $n_length);
+ $lhs_value[] = 1;
+ $rhs = new Math_BigInteger();
+ $rhs->value = $n;
+ list($temp, ) = $lhs->divide($rhs); // m.length
+ $cache[MATH_BIGINTEGER_DATA][] = $temp->value;
+ }
+
+ // 2 * m.length - (m.length - 1) = m.length + 1
+ $temp = array_slice($x, $n_length - 1);
+ // (m.length + 1) + m.length = 2 * m.length + 1
+ $temp = $this->_multiply($temp, false, $cache[MATH_BIGINTEGER_DATA][$key], false);
+ // (2 * m.length + 1) - (m.length - 1) = m.length + 2
+ $temp = array_slice($temp[MATH_BIGINTEGER_VALUE], $n_length + 1);
+
+ // m.length + 1
+ $result = array_slice($x, 0, $n_length + 1);
+ // m.length + 1
+ $temp = $this->_multiplyLower($temp, false, $n, false, $n_length + 1);
+ // $temp == array_slice($temp->_multiply($temp, false, $n, false)->value, 0, $n_length + 1)
+
+ if ($this->_compare($result, false, $temp[MATH_BIGINTEGER_VALUE], $temp[MATH_BIGINTEGER_SIGN]) < 0) {
+ $corrector_value = $this->_array_repeat(0, $n_length + 1);
+ $corrector_value[] = 1;
+ $result = $this->_add($result, false, $corrector_value, false);
+ $result = $result[MATH_BIGINTEGER_VALUE];
+ }
+
+ // at this point, we're subtracting a number with m.length + 1 digits from another number with m.length + 1 digits
+ $result = $this->_subtract($result, false, $temp[MATH_BIGINTEGER_VALUE], $temp[MATH_BIGINTEGER_SIGN]);
+ while ($this->_compare($result[MATH_BIGINTEGER_VALUE], $result[MATH_BIGINTEGER_SIGN], $n, false) > 0) {
+ $result = $this->_subtract($result[MATH_BIGINTEGER_VALUE], $result[MATH_BIGINTEGER_SIGN], $n, false);
+ }
+
+ return $result[MATH_BIGINTEGER_VALUE];
+ }
+
+ /**
+ * Performs long multiplication up to $stop digits
+ *
+ * If you're going to be doing array_slice($product->value, 0, $stop), some cycles can be saved.
+ *
+ * @see _regularBarrett()
+ * @param Array $x_value
+ * @param Boolean $x_negative
+ * @param Array $y_value
+ * @param Boolean $y_negative
+ * @param Integer $stop
+ * @return Array
+ * @access private
+ */
+ function _multiplyLower($x_value, $x_negative, $y_value, $y_negative, $stop)
+ {
+ $x_length = count($x_value);
+ $y_length = count($y_value);
+
+ if ( !$x_length || !$y_length ) { // a 0 is being multiplied
+ return array(
+ MATH_BIGINTEGER_VALUE => array(),
+ MATH_BIGINTEGER_SIGN => false
+ );
+ }
+
+ if ( $x_length < $y_length ) {
+ $temp = $x_value;
+ $x_value = $y_value;
+ $y_value = $temp;
+
+ $x_length = count($x_value);
+ $y_length = count($y_value);
+ }
+
+ $product_value = $this->_array_repeat(0, $x_length + $y_length);
+
+ // the following for loop could be removed if the for loop following it
+ // (the one with nested for loops) initially set $i to 0, but
+ // doing so would also make the result in one set of unnecessary adds,
+ // since on the outermost loops first pass, $product->value[$k] is going
+ // to always be 0
+
+ $carry = 0;
+
+ for ($j = 0; $j < $x_length; ++$j) { // ie. $i = 0, $k = $i
+ $temp = $x_value[$j] * $y_value[0] + $carry; // $product_value[$k] == 0
+ $carry = (int) ($temp / MATH_BIGINTEGER_BASE_FULL);
+ $product_value[$j] = (int) ($temp - MATH_BIGINTEGER_BASE_FULL * $carry);
+ }
+
+ if ($j < $stop) {
+ $product_value[$j] = $carry;
+ }
+
+ // the above for loop is what the previous comment was talking about. the
+ // following for loop is the "one with nested for loops"
+
+ for ($i = 1; $i < $y_length; ++$i) {
+ $carry = 0;
+
+ for ($j = 0, $k = $i; $j < $x_length && $k < $stop; ++$j, ++$k) {
+ $temp = $product_value[$k] + $x_value[$j] * $y_value[$i] + $carry;
+ $carry = (int) ($temp / MATH_BIGINTEGER_BASE_FULL);
+ $product_value[$k] = (int) ($temp - MATH_BIGINTEGER_BASE_FULL * $carry);
+ }
+
+ if ($k < $stop) {
+ $product_value[$k] = $carry;
+ }
+ }
+
+ return array(
+ MATH_BIGINTEGER_VALUE => $this->_trim($product_value),
+ MATH_BIGINTEGER_SIGN => $x_negative != $y_negative
+ );
+ }
+
+ /**
+ * Montgomery Modular Reduction
+ *
+ * ($x->_prepMontgomery($n))->_montgomery($n) yields $x % $n.
+ * {@link http://math.libtomcrypt.com/files/tommath.pdf#page=170 MPM 6.3} provides insights on how this can be
+ * improved upon (basically, by using the comba method). gcd($n, 2) must be equal to one for this function
+ * to work correctly.
+ *
+ * @see _prepMontgomery()
+ * @see _slidingWindow()
+ * @access private
+ * @param Array $x
+ * @param Array $n
+ * @return Array
+ */
+ function _montgomery($x, $n)
+ {
+ static $cache = array(
+ MATH_BIGINTEGER_VARIABLE => array(),
+ MATH_BIGINTEGER_DATA => array()
+ );
+
+ if ( ($key = array_search($n, $cache[MATH_BIGINTEGER_VARIABLE])) === false ) {
+ $key = count($cache[MATH_BIGINTEGER_VARIABLE]);
+ $cache[MATH_BIGINTEGER_VARIABLE][] = $x;
+ $cache[MATH_BIGINTEGER_DATA][] = $this->_modInverse67108864($n);
+ }
+
+ $k = count($n);
+
+ $result = array(MATH_BIGINTEGER_VALUE => $x);
+
+ for ($i = 0; $i < $k; ++$i) {
+ $temp = $result[MATH_BIGINTEGER_VALUE][$i] * $cache[MATH_BIGINTEGER_DATA][$key];
+ $temp = (int) ($temp - MATH_BIGINTEGER_BASE_FULL * ((int) ($temp / MATH_BIGINTEGER_BASE_FULL)));
+ $temp = $this->_regularMultiply(array($temp), $n);
+ $temp = array_merge($this->_array_repeat(0, $i), $temp);
+ $result = $this->_add($result[MATH_BIGINTEGER_VALUE], false, $temp, false);
+ }
+
+ $result[MATH_BIGINTEGER_VALUE] = array_slice($result[MATH_BIGINTEGER_VALUE], $k);
+
+ if ($this->_compare($result, false, $n, false) >= 0) {
+ $result = $this->_subtract($result[MATH_BIGINTEGER_VALUE], false, $n, false);
+ }
+
+ return $result[MATH_BIGINTEGER_VALUE];
+ }
+
+ /**
+ * Montgomery Multiply
+ *
+ * Interleaves the montgomery reduction and long multiplication algorithms together as described in
+ * {@link http://www.cacr.math.uwaterloo.ca/hac/about/chap14.pdf#page=13 HAC 14.36}
+ *
+ * @see _prepMontgomery()
+ * @see _montgomery()
+ * @access private
+ * @param Array $x
+ * @param Array $y
+ * @param Array $m
+ * @return Array
+ */
+ function _montgomeryMultiply($x, $y, $m)
+ {
+ $temp = $this->_multiply($x, false, $y, false);
+ return $this->_montgomery($temp[MATH_BIGINTEGER_VALUE], $m);
+
+ static $cache = array(
+ MATH_BIGINTEGER_VARIABLE => array(),
+ MATH_BIGINTEGER_DATA => array()
+ );
+
+ if ( ($key = array_search($m, $cache[MATH_BIGINTEGER_VARIABLE])) === false ) {
+ $key = count($cache[MATH_BIGINTEGER_VARIABLE]);
+ $cache[MATH_BIGINTEGER_VARIABLE][] = $m;
+ $cache[MATH_BIGINTEGER_DATA][] = $this->_modInverse67108864($m);
+ }
+
+ $n = max(count($x), count($y), count($m));
+ $x = array_pad($x, $n, 0);
+ $y = array_pad($y, $n, 0);
+ $m = array_pad($m, $n, 0);
+ $a = array(MATH_BIGINTEGER_VALUE => $this->_array_repeat(0, $n + 1));
+ for ($i = 0; $i < $n; ++$i) {
+ $temp = $a[MATH_BIGINTEGER_VALUE][0] + $x[$i] * $y[0];
+ $temp = (int) ($temp - MATH_BIGINTEGER_BASE_FULL * ((int) ($temp / MATH_BIGINTEGER_BASE_FULL)));
+ $temp = $temp * $cache[MATH_BIGINTEGER_DATA][$key];
+ $temp = (int) ($temp - MATH_BIGINTEGER_BASE_FULL * ((int) ($temp / MATH_BIGINTEGER_BASE_FULL)));
+ $temp = $this->_add($this->_regularMultiply(array($x[$i]), $y), false, $this->_regularMultiply(array($temp), $m), false);
+ $a = $this->_add($a[MATH_BIGINTEGER_VALUE], false, $temp[MATH_BIGINTEGER_VALUE], false);
+ $a[MATH_BIGINTEGER_VALUE] = array_slice($a[MATH_BIGINTEGER_VALUE], 1);
+ }
+ if ($this->_compare($a[MATH_BIGINTEGER_VALUE], false, $m, false) >= 0) {
+ $a = $this->_subtract($a[MATH_BIGINTEGER_VALUE], false, $m, false);
+ }
+ return $a[MATH_BIGINTEGER_VALUE];
+ }
+
+ /**
+ * Prepare a number for use in Montgomery Modular Reductions
+ *
+ * @see _montgomery()
+ * @see _slidingWindow()
+ * @access private
+ * @param Array $x
+ * @param Array $n
+ * @return Array
+ */
+ function _prepMontgomery($x, $n)
+ {
+ $lhs = new Math_BigInteger();
+ $lhs->value = array_merge($this->_array_repeat(0, count($n)), $x);
+ $rhs = new Math_BigInteger();
+ $rhs->value = $n;
+
+ list(, $temp) = $lhs->divide($rhs);
+ return $temp->value;
+ }
+
+ /**
+ * Modular Inverse of a number mod 2**26 (eg. 67108864)
+ *
+ * Based off of the bnpInvDigit function implemented and justified in the following URL:
+ *
+ * {@link http://www-cs-students.stanford.edu/~tjw/jsbn/jsbn.js}
+ *
+ * The following URL provides more info:
+ *
+ * {@link http://groups.google.com/group/sci.crypt/msg/7a137205c1be7d85}
+ *
+ * As for why we do all the bitmasking... strange things can happen when converting from floats to ints. For
+ * instance, on some computers, var_dump((int) -4294967297) yields int(-1) and on others, it yields
+ * int(-2147483648). To avoid problems stemming from this, we use bitmasks to guarantee that ints aren't
+ * auto-converted to floats. The outermost bitmask is present because without it, there's no guarantee that
+ * the "residue" returned would be the so-called "common residue". We use fmod, in the last step, because the
+ * maximum possible $x is 26 bits and the maximum $result is 16 bits. Thus, we have to be able to handle up to
+ * 40 bits, which only 64-bit floating points will support.
+ *
+ * Thanks to Pedro Gimeno Fortea for input!
+ *
+ * @see _montgomery()
+ * @access private
+ * @param Array $x
+ * @return Integer
+ */
+ function _modInverse67108864($x) // 2**26 == 67,108,864
+ {
+ $x = -$x[0];
+ $result = $x & 0x3; // x**-1 mod 2**2
+ $result = ($result * (2 - $x * $result)) & 0xF; // x**-1 mod 2**4
+ $result = ($result * (2 - ($x & 0xFF) * $result)) & 0xFF; // x**-1 mod 2**8
+ $result = ($result * ((2 - ($x & 0xFFFF) * $result) & 0xFFFF)) & 0xFFFF; // x**-1 mod 2**16
+ $result = fmod($result * (2 - fmod($x * $result, MATH_BIGINTEGER_BASE_FULL)), MATH_BIGINTEGER_BASE_FULL); // x**-1 mod 2**26
+ return $result & MATH_BIGINTEGER_MAX_DIGIT;
+ }
+
+ /**
+ * Calculates modular inverses.
+ *
+ * Say you have (30 mod 17 * x mod 17) mod 17 == 1. x can be found using modular inverses.
+ *
+ * Here's an example:
+ * <code>
+ * <?php
+ * include('Math/BigInteger.php');
+ *
+ * $a = new Math_BigInteger(30);
+ * $b = new Math_BigInteger(17);
+ *
+ * $c = $a->modInverse($b);
+ * echo $c->toString(); // outputs 4
+ *
+ * echo "\r\n";
+ *
+ * $d = $a->multiply($c);
+ * list(, $d) = $d->divide($b);
+ * echo $d; // outputs 1 (as per the definition of modular inverse)
+ * ?>
+ * </code>
+ *
+ * @param Math_BigInteger $n
+ * @return mixed false, if no modular inverse exists, Math_BigInteger, otherwise.
+ * @access public
+ * @internal See {@link http://www.cacr.math.uwaterloo.ca/hac/about/chap14.pdf#page=21 HAC 14.64} for more information.
+ */
+ function modInverse($n)
+ {
+ switch ( MATH_BIGINTEGER_MODE ) {
+ case MATH_BIGINTEGER_MODE_GMP:
+ $temp = new Math_BigInteger();
+ $temp->value = gmp_invert($this->value, $n->value);
+
+ return ( $temp->value === false ) ? false : $this->_normalize($temp);
+ }
+
+ static $zero, $one;
+ if (!isset($zero)) {
+ $zero = new Math_BigInteger();
+ $one = new Math_BigInteger(1);
+ }
+
+ // $x mod -$n == $x mod $n.
+ $n = $n->abs();
+
+ if ($this->compare($zero) < 0) {
+ $temp = $this->abs();
+ $temp = $temp->modInverse($n);
+ return $this->_normalize($n->subtract($temp));
+ }
+
+ extract($this->extendedGCD($n));
+
+ if (!$gcd->equals($one)) {
+ return false;
+ }
+
+ $x = $x->compare($zero) < 0 ? $x->add($n) : $x;
+
+ return $this->compare($zero) < 0 ? $this->_normalize($n->subtract($x)) : $this->_normalize($x);
+ }
+
+ /**
+ * Calculates the greatest common divisor and Bezout's identity.
+ *
+ * Say you have 693 and 609. The GCD is 21. Bezout's identity states that there exist integers x and y such that
+ * 693*x + 609*y == 21. In point of fact, there are actually an infinite number of x and y combinations and which
+ * combination is returned is dependant upon which mode is in use. See
+ * {@link http://en.wikipedia.org/wiki/B%C3%A9zout%27s_identity Bezout's identity - Wikipedia} for more information.
+ *
+ * Here's an example:
+ * <code>
+ * <?php
+ * include('Math/BigInteger.php');
+ *
+ * $a = new Math_BigInteger(693);
+ * $b = new Math_BigInteger(609);
+ *
+ * extract($a->extendedGCD($b));
+ *
+ * echo $gcd->toString() . "\r\n"; // outputs 21
+ * echo $a->toString() * $x->toString() + $b->toString() * $y->toString(); // outputs 21
+ * ?>
+ * </code>
+ *
+ * @param Math_BigInteger $n
+ * @return Math_BigInteger
+ * @access public
+ * @internal Calculates the GCD using the binary xGCD algorithim described in
+ * {@link http://www.cacr.math.uwaterloo.ca/hac/about/chap14.pdf#page=19 HAC 14.61}. As the text above 14.61 notes,
+ * the more traditional algorithim requires "relatively costly multiple-precision divisions".
+ */
+ function extendedGCD($n)
+ {
+ switch ( MATH_BIGINTEGER_MODE ) {
+ case MATH_BIGINTEGER_MODE_GMP:
+ extract(gmp_gcdext($this->value, $n->value));
+
+ return array(
+ 'gcd' => $this->_normalize(new Math_BigInteger($g)),
+ 'x' => $this->_normalize(new Math_BigInteger($s)),
+ 'y' => $this->_normalize(new Math_BigInteger($t))
+ );
+ case MATH_BIGINTEGER_MODE_BCMATH:
+ // it might be faster to use the binary xGCD algorithim here, as well, but (1) that algorithim works
+ // best when the base is a power of 2 and (2) i don't think it'd make much difference, anyway. as is,
+ // the basic extended euclidean algorithim is what we're using.
+
+ $u = $this->value;
+ $v = $n->value;
+
+ $a = '1';
+ $b = '0';
+ $c = '0';
+ $d = '1';
+
+ while (bccomp($v, '0', 0) != 0) {
+ $q = bcdiv($u, $v, 0);
+
+ $temp = $u;
+ $u = $v;
+ $v = bcsub($temp, bcmul($v, $q, 0), 0);
+
+ $temp = $a;
+ $a = $c;
+ $c = bcsub($temp, bcmul($a, $q, 0), 0);
+
+ $temp = $b;
+ $b = $d;
+ $d = bcsub($temp, bcmul($b, $q, 0), 0);
+ }
+
+ return array(
+ 'gcd' => $this->_normalize(new Math_BigInteger($u)),
+ 'x' => $this->_normalize(new Math_BigInteger($a)),
+ 'y' => $this->_normalize(new Math_BigInteger($b))
+ );
+ }
+
+ $y = $n->copy();
+ $x = $this->copy();
+ $g = new Math_BigInteger();
+ $g->value = array(1);
+
+ while ( !(($x->value[0] & 1)|| ($y->value[0] & 1)) ) {
+ $x->_rshift(1);
+ $y->_rshift(1);
+ $g->_lshift(1);
+ }
+
+ $u = $x->copy();
+ $v = $y->copy();
+
+ $a = new Math_BigInteger();
+ $b = new Math_BigInteger();
+ $c = new Math_BigInteger();
+ $d = new Math_BigInteger();
+
+ $a->value = $d->value = $g->value = array(1);
+ $b->value = $c->value = array();
+
+ while ( !empty($u->value) ) {
+ while ( !($u->value[0] & 1) ) {
+ $u->_rshift(1);
+ if ( (!empty($a->value) && ($a->value[0] & 1)) || (!empty($b->value) && ($b->value[0] & 1)) ) {
+ $a = $a->add($y);
+ $b = $b->subtract($x);
+ }
+ $a->_rshift(1);
+ $b->_rshift(1);
+ }
+
+ while ( !($v->value[0] & 1) ) {
+ $v->_rshift(1);
+ if ( (!empty($d->value) && ($d->value[0] & 1)) || (!empty($c->value) && ($c->value[0] & 1)) ) {
+ $c = $c->add($y);
+ $d = $d->subtract($x);
+ }
+ $c->_rshift(1);
+ $d->_rshift(1);
+ }
+
+ if ($u->compare($v) >= 0) {
+ $u = $u->subtract($v);
+ $a = $a->subtract($c);
+ $b = $b->subtract($d);
+ } else {
+ $v = $v->subtract($u);
+ $c = $c->subtract($a);
+ $d = $d->subtract($b);
+ }
+ }
+
+ return array(
+ 'gcd' => $this->_normalize($g->multiply($v)),
+ 'x' => $this->_normalize($c),
+ 'y' => $this->_normalize($d)
+ );
+ }
+
+ /**
+ * Calculates the greatest common divisor
+ *
+ * Say you have 693 and 609. The GCD is 21.
+ *
+ * Here's an example:
+ * <code>
+ * <?php
+ * include('Math/BigInteger.php');
+ *
+ * $a = new Math_BigInteger(693);
+ * $b = new Math_BigInteger(609);
+ *
+ * $gcd = a->extendedGCD($b);
+ *
+ * echo $gcd->toString() . "\r\n"; // outputs 21
+ * ?>
+ * </code>
+ *
+ * @param Math_BigInteger $n
+ * @return Math_BigInteger
+ * @access public
+ */
+ function gcd($n)
+ {
+ extract($this->extendedGCD($n));
+ return $gcd;
+ }
+
+ /**
+ * Absolute value.
+ *
+ * @return Math_BigInteger
+ * @access public
+ */
+ function abs()
+ {
+ $temp = new Math_BigInteger();
+
+ switch ( MATH_BIGINTEGER_MODE ) {
+ case MATH_BIGINTEGER_MODE_GMP:
+ $temp->value = gmp_abs($this->value);
+ break;
+ case MATH_BIGINTEGER_MODE_BCMATH:
+ $temp->value = (bccomp($this->value, '0', 0) < 0) ? substr($this->value, 1) : $this->value;
+ break;
+ default:
+ $temp->value = $this->value;
+ }
+
+ return $temp;
+ }
+
+ /**
+ * Compares two numbers.
+ *
+ * Although one might think !$x->compare($y) means $x != $y, it, in fact, means the opposite. The reason for this is
+ * demonstrated thusly:
+ *
+ * $x > $y: $x->compare($y) > 0
+ * $x < $y: $x->compare($y) < 0
+ * $x == $y: $x->compare($y) == 0
+ *
+ * Note how the same comparison operator is used. If you want to test for equality, use $x->equals($y).
+ *
+ * @param Math_BigInteger $y
+ * @return Integer < 0 if $this is less than $y; > 0 if $this is greater than $y, and 0 if they are equal.
+ * @access public
+ * @see equals()
+ * @internal Could return $this->subtract($x), but that's not as fast as what we do do.
+ */
+ function compare($y)
+ {
+ switch ( MATH_BIGINTEGER_MODE ) {
+ case MATH_BIGINTEGER_MODE_GMP:
+ return gmp_cmp($this->value, $y->value);
+ case MATH_BIGINTEGER_MODE_BCMATH:
+ return bccomp($this->value, $y->value, 0);
+ }
+
+ return $this->_compare($this->value, $this->is_negative, $y->value, $y->is_negative);
+ }
+
+ /**
+ * Compares two numbers.
+ *
+ * @param Array $x_value
+ * @param Boolean $x_negative
+ * @param Array $y_value
+ * @param Boolean $y_negative
+ * @return Integer
+ * @see compare()
+ * @access private
+ */
+ function _compare($x_value, $x_negative, $y_value, $y_negative)
+ {
+ if ( $x_negative != $y_negative ) {
+ return ( !$x_negative && $y_negative ) ? 1 : -1;
+ }
+
+ $result = $x_negative ? -1 : 1;
+
+ if ( count($x_value) != count($y_value) ) {
+ return ( count($x_value) > count($y_value) ) ? $result : -$result;
+ }
+ $size = max(count($x_value), count($y_value));
+
+ $x_value = array_pad($x_value, $size, 0);
+ $y_value = array_pad($y_value, $size, 0);
+
+ for ($i = count($x_value) - 1; $i >= 0; --$i) {
+ if ($x_value[$i] != $y_value[$i]) {
+ return ( $x_value[$i] > $y_value[$i] ) ? $result : -$result;
+ }
+ }
+
+ return 0;
+ }
+
+ /**
+ * Tests the equality of two numbers.
+ *
+ * If you need to see if one number is greater than or less than another number, use Math_BigInteger::compare()
+ *
+ * @param Math_BigInteger $x
+ * @return Boolean
+ * @access public
+ * @see compare()
+ */
+ function equals($x)
+ {
+ switch ( MATH_BIGINTEGER_MODE ) {
+ case MATH_BIGINTEGER_MODE_GMP:
+ return gmp_cmp($this->value, $x->value) == 0;
+ default:
+ return $this->value === $x->value && $this->is_negative == $x->is_negative;
+ }
+ }
+
+ /**
+ * Set Precision
+ *
+ * Some bitwise operations give different results depending on the precision being used. Examples include left
+ * shift, not, and rotates.
+ *
+ * @param Integer $bits
+ * @access public
+ */
+ function setPrecision($bits)
+ {
+ $this->precision = $bits;
+ if ( MATH_BIGINTEGER_MODE != MATH_BIGINTEGER_MODE_BCMATH ) {
+ $this->bitmask = new Math_BigInteger(chr((1 << ($bits & 0x7)) - 1) . str_repeat(chr(0xFF), $bits >> 3), 256);
+ } else {
+ $this->bitmask = new Math_BigInteger(bcpow('2', $bits, 0));
+ }
+
+ $temp = $this->_normalize($this);
+ $this->value = $temp->value;
+ }
+
+ /**
+ * Logical And
+ *
+ * @param Math_BigInteger $x
+ * @access public
+ * @internal Implemented per a request by Lluis Pamies i Juarez <lluis _a_ pamies.cat>
+ * @return Math_BigInteger
+ */
+ function bitwise_and($x)
+ {
+ switch ( MATH_BIGINTEGER_MODE ) {
+ case MATH_BIGINTEGER_MODE_GMP:
+ $temp = new Math_BigInteger();
+ $temp->value = gmp_and($this->value, $x->value);
+
+ return $this->_normalize($temp);
+ case MATH_BIGINTEGER_MODE_BCMATH:
+ $left = $this->toBytes();
+ $right = $x->toBytes();
+
+ $length = max(strlen($left), strlen($right));
+
+ $left = str_pad($left, $length, chr(0), STR_PAD_LEFT);
+ $right = str_pad($right, $length, chr(0), STR_PAD_LEFT);
+
+ return $this->_normalize(new Math_BigInteger($left & $right, 256));
+ }
+
+ $result = $this->copy();
+
+ $length = min(count($x->value), count($this->value));
+
+ $result->value = array_slice($result->value, 0, $length);
+
+ for ($i = 0; $i < $length; ++$i) {
+ $result->value[$i]&= $x->value[$i];
+ }
+
+ return $this->_normalize($result);
+ }
+
+ /**
+ * Logical Or
+ *
+ * @param Math_BigInteger $x
+ * @access public
+ * @internal Implemented per a request by Lluis Pamies i Juarez <lluis _a_ pamies.cat>
+ * @return Math_BigInteger
+ */
+ function bitwise_or($x)
+ {
+ switch ( MATH_BIGINTEGER_MODE ) {
+ case MATH_BIGINTEGER_MODE_GMP:
+ $temp = new Math_BigInteger();
+ $temp->value = gmp_or($this->value, $x->value);
+
+ return $this->_normalize($temp);
+ case MATH_BIGINTEGER_MODE_BCMATH:
+ $left = $this->toBytes();
+ $right = $x->toBytes();
+
+ $length = max(strlen($left), strlen($right));
+
+ $left = str_pad($left, $length, chr(0), STR_PAD_LEFT);
+ $right = str_pad($right, $length, chr(0), STR_PAD_LEFT);
+
+ return $this->_normalize(new Math_BigInteger($left | $right, 256));
+ }
+
+ $length = max(count($this->value), count($x->value));
+ $result = $this->copy();
+ $result->value = array_pad($result->value, $length, 0);
+ $x->value = array_pad($x->value, $length, 0);
+
+ for ($i = 0; $i < $length; ++$i) {
+ $result->value[$i]|= $x->value[$i];
+ }
+
+ return $this->_normalize($result);
+ }
+
+ /**
+ * Logical Exclusive-Or
+ *
+ * @param Math_BigInteger $x
+ * @access public
+ * @internal Implemented per a request by Lluis Pamies i Juarez <lluis _a_ pamies.cat>
+ * @return Math_BigInteger
+ */
+ function bitwise_xor($x)
+ {
+ switch ( MATH_BIGINTEGER_MODE ) {
+ case MATH_BIGINTEGER_MODE_GMP:
+ $temp = new Math_BigInteger();
+ $temp->value = gmp_xor($this->value, $x->value);
+
+ return $this->_normalize($temp);
+ case MATH_BIGINTEGER_MODE_BCMATH:
+ $left = $this->toBytes();
+ $right = $x->toBytes();
+
+ $length = max(strlen($left), strlen($right));
+
+ $left = str_pad($left, $length, chr(0), STR_PAD_LEFT);
+ $right = str_pad($right, $length, chr(0), STR_PAD_LEFT);
+
+ return $this->_normalize(new Math_BigInteger($left ^ $right, 256));
+ }
+
+ $length = max(count($this->value), count($x->value));
+ $result = $this->copy();
+ $result->value = array_pad($result->value, $length, 0);
+ $x->value = array_pad($x->value, $length, 0);
+
+ for ($i = 0; $i < $length; ++$i) {
+ $result->value[$i]^= $x->value[$i];
+ }
+
+ return $this->_normalize($result);
+ }
+
+ /**
+ * Logical Not
+ *
+ * @access public
+ * @internal Implemented per a request by Lluis Pamies i Juarez <lluis _a_ pamies.cat>
+ * @return Math_BigInteger
+ */
+ function bitwise_not()
+ {
+ // calculuate "not" without regard to $this->precision
+ // (will always result in a smaller number. ie. ~1 isn't 1111 1110 - it's 0)
+ $temp = $this->toBytes();
+ $pre_msb = decbin(ord($temp[0]));
+ $temp = ~$temp;
+ $msb = decbin(ord($temp[0]));
+ if (strlen($msb) == 8) {
+ $msb = substr($msb, strpos($msb, '0'));
+ }
+ $temp[0] = chr(bindec($msb));
+
+ // see if we need to add extra leading 1's
+ $current_bits = strlen($pre_msb) + 8 * strlen($temp) - 8;
+ $new_bits = $this->precision - $current_bits;
+ if ($new_bits <= 0) {
+ return $this->_normalize(new Math_BigInteger($temp, 256));
+ }
+
+ // generate as many leading 1's as we need to.
+ $leading_ones = chr((1 << ($new_bits & 0x7)) - 1) . str_repeat(chr(0xFF), $new_bits >> 3);
+ $this->_base256_lshift($leading_ones, $current_bits);
+
+ $temp = str_pad($temp, ceil($this->bits / 8), chr(0), STR_PAD_LEFT);
+
+ return $this->_normalize(new Math_BigInteger($leading_ones | $temp, 256));
+ }
+
+ /**
+ * Logical Right Shift
+ *
+ * Shifts BigInteger's by $shift bits, effectively dividing by 2**$shift.
+ *
+ * @param Integer $shift
+ * @return Math_BigInteger
+ * @access public
+ * @internal The only version that yields any speed increases is the internal version.
+ */
+ function bitwise_rightShift($shift)
+ {
+ $temp = new Math_BigInteger();
+
+ switch ( MATH_BIGINTEGER_MODE ) {
+ case MATH_BIGINTEGER_MODE_GMP:
+ static $two;
+
+ if (!isset($two)) {
+ $two = gmp_init('2');
+ }
+
+ $temp->value = gmp_div_q($this->value, gmp_pow($two, $shift));
+
+ break;
+ case MATH_BIGINTEGER_MODE_BCMATH:
+ $temp->value = bcdiv($this->value, bcpow('2', $shift, 0), 0);
+
+ break;
+ default: // could just replace _lshift with this, but then all _lshift() calls would need to be rewritten
+ // and I don't want to do that...
+ $temp->value = $this->value;
+ $temp->_rshift($shift);
+ }
+
+ return $this->_normalize($temp);
+ }
+
+ /**
+ * Logical Left Shift
+ *
+ * Shifts BigInteger's by $shift bits, effectively multiplying by 2**$shift.
+ *
+ * @param Integer $shift
+ * @return Math_BigInteger
+ * @access public
+ * @internal The only version that yields any speed increases is the internal version.
+ */
+ function bitwise_leftShift($shift)
+ {
+ $temp = new Math_BigInteger();
+
+ switch ( MATH_BIGINTEGER_MODE ) {
+ case MATH_BIGINTEGER_MODE_GMP:
+ static $two;
+
+ if (!isset($two)) {
+ $two = gmp_init('2');
+ }
+
+ $temp->value = gmp_mul($this->value, gmp_pow($two, $shift));
+
+ break;
+ case MATH_BIGINTEGER_MODE_BCMATH:
+ $temp->value = bcmul($this->value, bcpow('2', $shift, 0), 0);
+
+ break;
+ default: // could just replace _rshift with this, but then all _lshift() calls would need to be rewritten
+ // and I don't want to do that...
+ $temp->value = $this->value;
+ $temp->_lshift($shift);
+ }
+
+ return $this->_normalize($temp);
+ }
+
+ /**
+ * Logical Left Rotate
+ *
+ * Instead of the top x bits being dropped they're appended to the shifted bit string.
+ *
+ * @param Integer $shift
+ * @return Math_BigInteger
+ * @access public
+ */
+ function bitwise_leftRotate($shift)
+ {
+ $bits = $this->toBytes();
+
+ if ($this->precision > 0) {
+ $precision = $this->precision;
+ if ( MATH_BIGINTEGER_MODE == MATH_BIGINTEGER_MODE_BCMATH ) {
+ $mask = $this->bitmask->subtract(new Math_BigInteger(1));
+ $mask = $mask->toBytes();
+ } else {
+ $mask = $this->bitmask->toBytes();
+ }
+ } else {
+ $temp = ord($bits[0]);
+ for ($i = 0; $temp >> $i; ++$i);
+ $precision = 8 * strlen($bits) - 8 + $i;
+ $mask = chr((1 << ($precision & 0x7)) - 1) . str_repeat(chr(0xFF), $precision >> 3);
+ }
+
+ if ($shift < 0) {
+ $shift+= $precision;
+ }
+ $shift%= $precision;
+
+ if (!$shift) {
+ return $this->copy();
+ }
+
+ $left = $this->bitwise_leftShift($shift);
+ $left = $left->bitwise_and(new Math_BigInteger($mask, 256));
+ $right = $this->bitwise_rightShift($precision - $shift);
+ $result = MATH_BIGINTEGER_MODE != MATH_BIGINTEGER_MODE_BCMATH ? $left->bitwise_or($right) : $left->add($right);
+ return $this->_normalize($result);
+ }
+
+ /**
+ * Logical Right Rotate
+ *
+ * Instead of the bottom x bits being dropped they're prepended to the shifted bit string.
+ *
+ * @param Integer $shift
+ * @return Math_BigInteger
+ * @access public
+ */
+ function bitwise_rightRotate($shift)
+ {
+ return $this->bitwise_leftRotate(-$shift);
+ }
+
+ /**
+ * Set random number generator function
+ *
+ * This function is deprecated.
+ *
+ * @param String $generator
+ * @access public
+ */
+ function setRandomGenerator($generator)
+ {
+ }
+
+ /**
+ * Generate a random number
+ *
+ * @param optional Integer $min
+ * @param optional Integer $max
+ * @return Math_BigInteger
+ * @access public
+ */
+ function random($min = false, $max = false)
+ {
+ if ($min === false) {
+ $min = new Math_BigInteger(0);
+ }
+
+ if ($max === false) {
+ $max = new Math_BigInteger(0x7FFFFFFF);
+ }
+
+ $compare = $max->compare($min);
+
+ if (!$compare) {
+ return $this->_normalize($min);
+ } else if ($compare < 0) {
+ // if $min is bigger then $max, swap $min and $max
+ $temp = $max;
+ $max = $min;
+ $min = $temp;
+ }
+
+ $max = $max->subtract($min);
+ $max = ltrim($max->toBytes(), chr(0));
+ $size = strlen($max) - 1;
+
+ $crypt_random = function_exists('crypt_random_string') || (!class_exists('Crypt_Random') && function_exists('crypt_random_string'));
+ if ($crypt_random) {
+ $random = crypt_random_string($size);
+ } else {
+ $random = '';
+
+ if ($size & 1) {
+ $random.= chr(mt_rand(0, 255));
+ }
+
+ $blocks = $size >> 1;
+ for ($i = 0; $i < $blocks; ++$i) {
+ // mt_rand(-2147483648, 0x7FFFFFFF) always produces -2147483648 on some systems
+ $random.= pack('n', mt_rand(0, 0xFFFF));
+ }
+ }
+
+ $fragment = new Math_BigInteger($random, 256);
+ $leading = $fragment->compare(new Math_BigInteger(substr($max, 1), 256)) > 0 ?
+ ord($max[0]) - 1 : ord($max[0]);
+
+ if (!$crypt_random) {
+ $msb = chr(mt_rand(0, $leading));
+ } else {
+ $cutoff = floor(0xFF / $leading) * $leading;
+ while (true) {
+ $msb = ord(crypt_random_string(1));
+ if ($msb <= $cutoff) {
+ $msb%= $leading;
+ break;
+ }
+ }
+ $msb = chr($msb);
+ }
+
+ $random = new Math_BigInteger($msb . $random, 256);
+
+ return $this->_normalize($random->add($min));
+ }
+
+ /**
+ * Generate a random prime number.
+ *
+ * If there's not a prime within the given range, false will be returned. If more than $timeout seconds have elapsed,
+ * give up and return false.
+ *
+ * @param optional Integer $min
+ * @param optional Integer $max
+ * @param optional Integer $timeout
+ * @return Math_BigInteger
+ * @access public
+ * @internal See {@link http://www.cacr.math.uwaterloo.ca/hac/about/chap4.pdf#page=15 HAC 4.44}.
+ */
+ function randomPrime($min = false, $max = false, $timeout = false)
+ {
+ if ($min === false) {
+ $min = new Math_BigInteger(0);
+ }
+
+ if ($max === false) {
+ $max = new Math_BigInteger(0x7FFFFFFF);
+ }
+
+ $compare = $max->compare($min);
+
+ if (!$compare) {
+ return $min->isPrime() ? $min : false;
+ } else if ($compare < 0) {
+ // if $min is bigger then $max, swap $min and $max
+ $temp = $max;
+ $max = $min;
+ $min = $temp;
+ }
+
+ static $one, $two;
+ if (!isset($one)) {
+ $one = new Math_BigInteger(1);
+ $two = new Math_BigInteger(2);
+ }
+
+ $start = time();
+
+ $x = $this->random($min, $max);
+
+ // gmp_nextprime() requires PHP 5 >= 5.2.0 per <http://php.net/gmp-nextprime>.
+ if ( MATH_BIGINTEGER_MODE == MATH_BIGINTEGER_MODE_GMP && function_exists('gmp_nextprime') ) {
+ $p = new Math_BigInteger();
+ $p->value = gmp_nextprime($x->value);
+
+ if ($p->compare($max) <= 0) {
+ return $p;
+ }
+
+ if (!$min->equals($x)) {
+ $x = $x->subtract($one);
+ }
+
+ return $x->randomPrime($min, $x);
+ }
+
+ if ($x->equals($two)) {
+ return $x;
+ }
+
+ $x->_make_odd();
+ if ($x->compare($max) > 0) {
+ // if $x > $max then $max is even and if $min == $max then no prime number exists between the specified range
+ if ($min->equals($max)) {
+ return false;
+ }
+ $x = $min->copy();
+ $x->_make_odd();
+ }
+
+ $initial_x = $x->copy();
+
+ while (true) {
+ if ($timeout !== false && time() - $start > $timeout) {
+ return false;
+ }
+
+ if ($x->isPrime()) {
+ return $x;
+ }
+
+ $x = $x->add($two);
+
+ if ($x->compare($max) > 0) {
+ $x = $min->copy();
+ if ($x->equals($two)) {
+ return $x;
+ }
+ $x->_make_odd();
+ }
+
+ if ($x->equals($initial_x)) {
+ return false;
+ }
+ }
+ }
+
+ /**
+ * Make the current number odd
+ *
+ * If the current number is odd it'll be unchanged. If it's even, one will be added to it.
+ *
+ * @see randomPrime()
+ * @access private
+ */
+ function _make_odd()
+ {
+ switch ( MATH_BIGINTEGER_MODE ) {
+ case MATH_BIGINTEGER_MODE_GMP:
+ gmp_setbit($this->value, 0);
+ break;
+ case MATH_BIGINTEGER_MODE_BCMATH:
+ if ($this->value[strlen($this->value) - 1] % 2 == 0) {
+ $this->value = bcadd($this->value, '1');
+ }
+ break;
+ default:
+ $this->value[0] |= 1;
+ }
+ }
+
+ /**
+ * Checks a numer to see if it's prime
+ *
+ * Assuming the $t parameter is not set, this function has an error rate of 2**-80. The main motivation for the
+ * $t parameter is distributability. Math_BigInteger::randomPrime() can be distributed accross multiple pageloads
+ * on a website instead of just one.
+ *
+ * @param optional Integer $t
+ * @return Boolean
+ * @access public
+ * @internal Uses the
+ * {@link http://en.wikipedia.org/wiki/Miller%E2%80%93Rabin_primality_test Miller-Rabin primality test}. See
+ * {@link http://www.cacr.math.uwaterloo.ca/hac/about/chap4.pdf#page=8 HAC 4.24}.
+ */
+ function isPrime($t = false)
+ {
+ $length = strlen($this->toBytes());
+
+ if (!$t) {
+ // see HAC 4.49 "Note (controlling the error probability)"
+ if ($length >= 163) { $t = 2; } // floor(1300 / 8)
+ else if ($length >= 106) { $t = 3; } // floor( 850 / 8)
+ else if ($length >= 81 ) { $t = 4; } // floor( 650 / 8)
+ else if ($length >= 68 ) { $t = 5; } // floor( 550 / 8)
+ else if ($length >= 56 ) { $t = 6; } // floor( 450 / 8)
+ else if ($length >= 50 ) { $t = 7; } // floor( 400 / 8)
+ else if ($length >= 43 ) { $t = 8; } // floor( 350 / 8)
+ else if ($length >= 37 ) { $t = 9; } // floor( 300 / 8)
+ else if ($length >= 31 ) { $t = 12; } // floor( 250 / 8)
+ else if ($length >= 25 ) { $t = 15; } // floor( 200 / 8)
+ else if ($length >= 18 ) { $t = 18; } // floor( 150 / 8)
+ else { $t = 27; }
+ }
+
+ // ie. gmp_testbit($this, 0)
+ // ie. isEven() or !isOdd()
+ switch ( MATH_BIGINTEGER_MODE ) {
+ case MATH_BIGINTEGER_MODE_GMP:
+ return gmp_prob_prime($this->value, $t) != 0;
+ case MATH_BIGINTEGER_MODE_BCMATH:
+ if ($this->value === '2') {
+ return true;
+ }
+ if ($this->value[strlen($this->value) - 1] % 2 == 0) {
+ return false;
+ }
+ break;
+ default:
+ if ($this->value == array(2)) {
+ return true;
+ }
+ if (~$this->value[0] & 1) {
+ return false;
+ }
+ }
+
+ static $primes, $zero, $one, $two;
+
+ if (!isset($primes)) {
+ $primes = array(
+ 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59,
+ 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137,
+ 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199, 211, 223, 227,
+ 229, 233, 239, 241, 251, 257, 263, 269, 271, 277, 281, 283, 293, 307, 311, 313,
+ 317, 331, 337, 347, 349, 353, 359, 367, 373, 379, 383, 389, 397, 401, 409, 419,
+ 421, 431, 433, 439, 443, 449, 457, 461, 463, 467, 479, 487, 491, 499, 503, 509,
+ 521, 523, 541, 547, 557, 563, 569, 571, 577, 587, 593, 599, 601, 607, 613, 617,
+ 619, 631, 641, 643, 647, 653, 659, 661, 673, 677, 683, 691, 701, 709, 719, 727,
+ 733, 739, 743, 751, 757, 761, 769, 773, 787, 797, 809, 811, 821, 823, 827, 829,
+ 839, 853, 857, 859, 863, 877, 881, 883, 887, 907, 911, 919, 929, 937, 941, 947,
+ 953, 967, 971, 977, 983, 991, 997
+ );
+
+ if ( MATH_BIGINTEGER_MODE != MATH_BIGINTEGER_MODE_INTERNAL ) {
+ for ($i = 0; $i < count($primes); ++$i) {
+ $primes[$i] = new Math_BigInteger($primes[$i]);
+ }
+ }
+
+ $zero = new Math_BigInteger();
+ $one = new Math_BigInteger(1);
+ $two = new Math_BigInteger(2);
+ }
+
+ if ($this->equals($one)) {
+ return false;
+ }
+
+ // see HAC 4.4.1 "Random search for probable primes"
+ if ( MATH_BIGINTEGER_MODE != MATH_BIGINTEGER_MODE_INTERNAL ) {
+ foreach ($primes as $prime) {
+ list(, $r) = $this->divide($prime);
+ if ($r->equals($zero)) {
+ return $this->equals($prime);
+ }
+ }
+ } else {
+ $value = $this->value;
+ foreach ($primes as $prime) {
+ list(, $r) = $this->_divide_digit($value, $prime);
+ if (!$r) {
+ return count($value) == 1 && $value[0] == $prime;
+ }
+ }
+ }
+
+ $n = $this->copy();
+ $n_1 = $n->subtract($one);
+ $n_2 = $n->subtract($two);
+
+ $r = $n_1->copy();
+ $r_value = $r->value;
+ // ie. $s = gmp_scan1($n, 0) and $r = gmp_div_q($n, gmp_pow(gmp_init('2'), $s));
+ if ( MATH_BIGINTEGER_MODE == MATH_BIGINTEGER_MODE_BCMATH ) {
+ $s = 0;
+ // if $n was 1, $r would be 0 and this would be an infinite loop, hence our $this->equals($one) check earlier
+ while ($r->value[strlen($r->value) - 1] % 2 == 0) {
+ $r->value = bcdiv($r->value, '2', 0);
+ ++$s;
+ }
+ } else {
+ for ($i = 0, $r_length = count($r_value); $i < $r_length; ++$i) {
+ $temp = ~$r_value[$i] & 0xFFFFFF;
+ for ($j = 1; ($temp >> $j) & 1; ++$j);
+ if ($j != 25) {
+ break;
+ }
+ }
+ $s = 26 * $i + $j - 1;
+ $r->_rshift($s);
+ }
+
+ for ($i = 0; $i < $t; ++$i) {
+ $a = $this->random($two, $n_2);
+ $y = $a->modPow($r, $n);
+
+ if (!$y->equals($one) && !$y->equals($n_1)) {
+ for ($j = 1; $j < $s && !$y->equals($n_1); ++$j) {
+ $y = $y->modPow($two, $n);
+ if ($y->equals($one)) {
+ return false;
+ }
+ }
+
+ if (!$y->equals($n_1)) {
+ return false;
+ }
+ }
+ }
+ return true;
+ }
+
+ /**
+ * Logical Left Shift
+ *
+ * Shifts BigInteger's by $shift bits.
+ *
+ * @param Integer $shift
+ * @access private
+ */
+ function _lshift($shift)
+ {
+ if ( $shift == 0 ) {
+ return;
+ }
+
+ $num_digits = (int) ($shift / MATH_BIGINTEGER_BASE);
+ $shift %= MATH_BIGINTEGER_BASE;
+ $shift = 1 << $shift;
+
+ $carry = 0;
+
+ for ($i = 0; $i < count($this->value); ++$i) {
+ $temp = $this->value[$i] * $shift + $carry;
+ $carry = (int) ($temp / MATH_BIGINTEGER_BASE_FULL);
+ $this->value[$i] = (int) ($temp - $carry * MATH_BIGINTEGER_BASE_FULL);
+ }
+
+ if ( $carry ) {
+ $this->value[] = $carry;
+ }
+
+ while ($num_digits--) {
+ array_unshift($this->value, 0);
+ }
+ }
+
+ /**
+ * Logical Right Shift
+ *
+ * Shifts BigInteger's by $shift bits.
+ *
+ * @param Integer $shift
+ * @access private
+ */
+ function _rshift($shift)
+ {
+ if ($shift == 0) {
+ return;
+ }
+
+ $num_digits = (int) ($shift / MATH_BIGINTEGER_BASE);
+ $shift %= MATH_BIGINTEGER_BASE;
+ $carry_shift = MATH_BIGINTEGER_BASE - $shift;
+ $carry_mask = (1 << $shift) - 1;
+
+ if ( $num_digits ) {
+ $this->value = array_slice($this->value, $num_digits);
+ }
+
+ $carry = 0;
+
+ for ($i = count($this->value) - 1; $i >= 0; --$i) {
+ $temp = $this->value[$i] >> $shift | $carry;
+ $carry = ($this->value[$i] & $carry_mask) << $carry_shift;
+ $this->value[$i] = $temp;
+ }
+
+ $this->value = $this->_trim($this->value);
+ }
+
+ /**
+ * Normalize
+ *
+ * Removes leading zeros and truncates (if necessary) to maintain the appropriate precision
+ *
+ * @param Math_BigInteger
+ * @return Math_BigInteger
+ * @see _trim()
+ * @access private
+ */
+ function _normalize($result)
+ {
+ $result->precision = $this->precision;
+ $result->bitmask = $this->bitmask;
+
+ switch ( MATH_BIGINTEGER_MODE ) {
+ case MATH_BIGINTEGER_MODE_GMP:
+ if (!empty($result->bitmask->value)) {
+ $result->value = gmp_and($result->value, $result->bitmask->value);
+ }
+
+ return $result;
+ case MATH_BIGINTEGER_MODE_BCMATH:
+ if (!empty($result->bitmask->value)) {
+ $result->value = bcmod($result->value, $result->bitmask->value);
+ }
+
+ return $result;
+ }
+
+ $value = &$result->value;
+
+ if ( !count($value) ) {
+ return $result;
+ }
+
+ $value = $this->_trim($value);
+
+ if (!empty($result->bitmask->value)) {
+ $length = min(count($value), count($this->bitmask->value));
+ $value = array_slice($value, 0, $length);
+
+ for ($i = 0; $i < $length; ++$i) {
+ $value[$i] = $value[$i] & $this->bitmask->value[$i];
+ }
+ }
+
+ return $result;
+ }
+
+ /**
+ * Trim
+ *
+ * Removes leading zeros
+ *
+ * @param Array $value
+ * @return Math_BigInteger
+ * @access private
+ */
+ function _trim($value)
+ {
+ for ($i = count($value) - 1; $i >= 0; --$i) {
+ if ( $value[$i] ) {
+ break;
+ }
+ unset($value[$i]);
+ }
+
+ return $value;
+ }
+
+ /**
+ * Array Repeat
+ *
+ * @param $input Array
+ * @param $multiplier mixed
+ * @return Array
+ * @access private
+ */
+ function _array_repeat($input, $multiplier)
+ {
+ return ($multiplier) ? array_fill(0, $multiplier, $input) : array();
+ }
+
+ /**
+ * Logical Left Shift
+ *
+ * Shifts binary strings $shift bits, essentially multiplying by 2**$shift.
+ *
+ * @param $x String
+ * @param $shift Integer
+ * @return String
+ * @access private
+ */
+ function _base256_lshift(&$x, $shift)
+ {
+ if ($shift == 0) {
+ return;
+ }
+
+ $num_bytes = $shift >> 3; // eg. floor($shift/8)
+ $shift &= 7; // eg. $shift % 8
+
+ $carry = 0;
+ for ($i = strlen($x) - 1; $i >= 0; --$i) {
+ $temp = ord($x[$i]) << $shift | $carry;
+ $x[$i] = chr($temp);
+ $carry = $temp >> 8;
+ }
+ $carry = ($carry != 0) ? chr($carry) : '';
+ $x = $carry . $x . str_repeat(chr(0), $num_bytes);
+ }
+
+ /**
+ * Logical Right Shift
+ *
+ * Shifts binary strings $shift bits, essentially dividing by 2**$shift and returning the remainder.
+ *
+ * @param $x String
+ * @param $shift Integer
+ * @return String
+ * @access private
+ */
+ function _base256_rshift(&$x, $shift)
+ {
+ if ($shift == 0) {
+ $x = ltrim($x, chr(0));
+ return '';
+ }
+
+ $num_bytes = $shift >> 3; // eg. floor($shift/8)
+ $shift &= 7; // eg. $shift % 8
+
+ $remainder = '';
+ if ($num_bytes) {
+ $start = $num_bytes > strlen($x) ? -strlen($x) : -$num_bytes;
+ $remainder = substr($x, $start);
+ $x = substr($x, 0, -$num_bytes);
+ }
+
+ $carry = 0;
+ $carry_shift = 8 - $shift;
+ for ($i = 0; $i < strlen($x); ++$i) {
+ $temp = (ord($x[$i]) >> $shift) | $carry;
+ $carry = (ord($x[$i]) << $carry_shift) & 0xFF;
+ $x[$i] = chr($temp);
+ }
+ $x = ltrim($x, chr(0));
+
+ $remainder = chr($carry >> $carry_shift) . $remainder;
+
+ return ltrim($remainder, chr(0));
+ }
+
+ // one quirk about how the following functions are implemented is that PHP defines N to be an unsigned long
+ // at 32-bits, while java's longs are 64-bits.
+
+ /**
+ * Converts 32-bit integers to bytes.
+ *
+ * @param Integer $x
+ * @return String
+ * @access private
+ */
+ function _int2bytes($x)
+ {
+ return ltrim(pack('N', $x), chr(0));
+ }
+
+ /**
+ * Converts bytes to 32-bit integers
+ *
+ * @param String $x
+ * @return Integer
+ * @access private
+ */
+ function _bytes2int($x)
+ {
+ $temp = unpack('Nint', str_pad($x, 4, chr(0), STR_PAD_LEFT));
+ return $temp['int'];
+ }
+
+ /**
+ * DER-encode an integer
+ *
+ * The ability to DER-encode integers is needed to create RSA public keys for use with OpenSSL
+ *
+ * @see modPow()
+ * @access private
+ * @param Integer $length
+ * @return String
+ */
+ function _encodeASN1Length($length)
+ {
+ if ($length <= 0x7F) {
+ return chr($length);
+ }
+
+ $temp = ltrim(pack('N', $length), chr(0));
+ return pack('Ca*', 0x80 | strlen($temp), $temp);
+ }
+}
diff --git a/inc/phpseclib/update.sh b/inc/phpseclib/update.sh
new file mode 100755
index 000000000..ff3747a14
--- /dev/null
+++ b/inc/phpseclib/update.sh
@@ -0,0 +1,8 @@
+#!/bin/sh
+
+wget -nv https://raw.github.com/phpseclib/phpseclib/master/LICENSE -O LICENSE
+wget -nv https://raw.github.com/phpseclib/phpseclib/master/phpseclib/Math/BigInteger.php -O Math_BigInteger.php
+wget -nv https://raw.github.com/phpseclib/phpseclib/master/phpseclib/Crypt/AES.php -O Crypt_AES.php
+wget -nv https://raw.github.com/phpseclib/phpseclib/master/phpseclib/Crypt/Rijndael.php -O Crypt_Rijndael.php
+wget -nv https://raw.github.com/phpseclib/phpseclib/master/phpseclib/Crypt/Base.php -O Crypt_Base.php
+wget -nv https://raw.github.com/phpseclib/phpseclib/master/phpseclib/Crypt/Hash.php -O Crypt_Hash.php
--
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