diff options
| -rw-r--r-- | plugins/OStatus/extlib/Crypt/AES.php | 898 | ||||
| -rw-r--r-- | plugins/OStatus/extlib/Crypt/DES.php | 1794 | ||||
| -rw-r--r-- | plugins/OStatus/extlib/Crypt/Hash.php | 1630 | ||||
| -rw-r--r-- | plugins/OStatus/extlib/Crypt/RC4.php | 984 | ||||
| -rw-r--r-- | plugins/OStatus/extlib/Crypt/RSA.php | 4035 | ||||
| -rw-r--r-- | plugins/OStatus/extlib/Crypt/Random.php | 193 | ||||
| -rw-r--r-- | plugins/OStatus/extlib/Crypt/Rijndael.php | 2375 | ||||
| -rw-r--r-- | plugins/OStatus/extlib/Crypt/TripleDES.php | 1291 | ||||
| -rw-r--r-- | plugins/OStatus/extlib/Math/BigInteger.php | 6603 |
9 files changed, 10434 insertions, 9369 deletions
diff --git a/plugins/OStatus/extlib/Crypt/AES.php b/plugins/OStatus/extlib/Crypt/AES.php index 4b062c4f2..68ab4db09 100644 --- a/plugins/OStatus/extlib/Crypt/AES.php +++ b/plugins/OStatus/extlib/Crypt/AES.php @@ -1,421 +1,479 @@ -<?php
-/* vim: set expandtab tabstop=4 shiftwidth=4 softtabstop=4: */
-
-/**
- * Pure-PHP implementation of AES.
- *
- * Uses mcrypt, if available, 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 160-bits and 160 bits will be the key length until {@link Crypt_Rijndael::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: This library is free software; you can redistribute it and/or
- * modify it under the terms of the GNU Lesser General Public
- * License as published by the Free Software Foundation; either
- * version 2.1 of the License, or (at your option) any later version.
- *
- * This library is distributed in the hope that it will be useful,
- * but WITHOUT ANY WARRANTY; without even the implied warranty of
- * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
- * Lesser General Public License for more details.
- *
- * You should have received a copy of the GNU Lesser General Public
- * License along with this library; if not, write to the Free Software
- * Foundation, Inc., 59 Temple Place, Suite 330, Boston,
- * MA 02111-1307 USA
- *
- * @category Crypt
- * @package Crypt_AES
- * @author Jim Wigginton <terrafrost@php.net>
- * @copyright MMVIII Jim Wigginton
- * @license http://www.gnu.org/licenses/lgpl.txt
- * @version $Id: AES.php,v 1.5 2009/11/23 19:06:06 terrafrost Exp $
- * @link http://phpseclib.sourceforge.net
- */
-
-/**
- * Include Crypt_Rijndael
- */
-require_once 'Rijndael.php';
-
-/**#@+
- * @access public
- * @see Crypt_AES::encrypt()
- * @see Crypt_AES::decrypt()
- */
-/**
- * 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', 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_AES_MODE_CBC', 2);
-/**#@-*/
-
-/**#@+
- * @access private
- * @see Crypt_AES::Crypt_AES()
- */
-/**
- * Toggles the internal implementation
- */
-define('CRYPT_AES_MODE_INTERNAL', 1);
-/**
- * Toggles the mcrypt implementation
- */
-define('CRYPT_AES_MODE_MCRYPT', 2);
-/**#@-*/
-
-/**
- * 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 {
- /**
- * MCrypt parameters
- *
- * @see Crypt_AES::setMCrypt()
- * @var Array
- * @access private
- */
- var $mcrypt = array('', '');
-
- /**
- * Default Constructor.
- *
- * Determines whether or not the mcrypt extension should be used. $mode should only, at present, be
- * CRYPT_AES_MODE_ECB or CRYPT_AES_MODE_CBC. If not explictly set, CRYPT_AES_MODE_CBC will be used.
- *
- * @param optional Integer $mode
- * @return Crypt_AES
- * @access public
- */
- function Crypt_AES($mode = CRYPT_AES_MODE_CBC)
- {
- if ( !defined('CRYPT_AES_MODE') ) {
- switch (true) {
- case extension_loaded('mcrypt'):
- // i'd check to see if aes was supported, by doing in_array('des', mcrypt_list_algorithms('')),
- // but since that can be changed after the object has been created, there doesn't seem to be
- // a lot of point...
- define('CRYPT_AES_MODE', CRYPT_AES_MODE_MCRYPT);
- break;
- default:
- define('CRYPT_AES_MODE', CRYPT_AES_MODE_INTERNAL);
- }
- }
-
- switch ( CRYPT_AES_MODE ) {
- case CRYPT_AES_MODE_MCRYPT:
- switch ($mode) {
- case CRYPT_AES_MODE_ECB:
- $this->mode = MCRYPT_MODE_ECB;
- break;
- case CRYPT_AES_MODE_CBC:
- default:
- $this->mode = MCRYPT_MODE_CBC;
- }
-
- break;
- default:
- switch ($mode) {
- case CRYPT_AES_MODE_ECB:
- $this->mode = CRYPT_RIJNDAEL_MODE_ECB;
- break;
- case CRYPT_AES_MODE_CBC:
- default:
- $this->mode = CRYPT_RIJNDAEL_MODE_CBC;
- }
- }
-
- if (CRYPT_AES_MODE == CRYPT_AES_MODE_INTERNAL) {
- parent::Crypt_Rijndael($this->mode);
- }
- }
-
- /**
- * Dummy function
- *
- * Since Crypt_AES extends Crypt_Rijndael, this function is, technically, available, but it doesn't do anything.
- *
- * @access public
- * @param Integer $length
- */
- function setBlockLength($length)
- {
- return;
- }
-
- /**
- * Encrypts a message.
- *
- * $plaintext will be padded with up to 16 additional bytes. Other AES implementations may or may not pad in the
- * same manner. Other common approaches to padding and the reasons why it's necessary are discussed in the following
- * URL:
- *
- * {@link http://www.di-mgt.com.au/cryptopad.html http://www.di-mgt.com.au/cryptopad.html}
- *
- * An alternative to padding is to, separately, send the length of the file. This is what SSH, in fact, does.
- * strlen($plaintext) will still need to be a multiple of 16, however, arbitrary values can be added to make it that
- * length.
- *
- * @see Crypt_AES::decrypt()
- * @access public
- * @param String $plaintext
- */
- function encrypt($plaintext)
- {
- if ( CRYPT_AES_MODE == CRYPT_AES_MODE_MCRYPT ) {
- $this->_mcryptSetup();
- $plaintext = $this->_pad($plaintext);
-
- $td = mcrypt_module_open(MCRYPT_RIJNDAEL_128, $this->mcrypt[0], $this->mode, $this->mcrypt[1]);
- mcrypt_generic_init($td, $this->key, $this->encryptIV);
-
- $ciphertext = mcrypt_generic($td, $plaintext);
-
- mcrypt_generic_deinit($td);
- mcrypt_module_close($td);
-
- if ($this->continuousBuffer) {
- $this->encryptIV = substr($ciphertext, -16);
- }
-
- return $ciphertext;
- }
-
- return parent::encrypt($plaintext);
- }
-
- /**
- * Decrypts a message.
- *
- * If strlen($ciphertext) is not a multiple of 16, null bytes will be added to the end of the string until it is.
- *
- * @see Crypt_AES::encrypt()
- * @access public
- * @param String $ciphertext
- */
- function decrypt($ciphertext)
- {
- // we pad with chr(0) since that's what mcrypt_generic does. to quote from http://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) + 15) & 0xFFFFFFF0, chr(0));
-
- if ( CRYPT_AES_MODE == CRYPT_AES_MODE_MCRYPT ) {
- $this->_mcryptSetup();
-
- $td = mcrypt_module_open(MCRYPT_RIJNDAEL_128, $this->mcrypt[0], $this->mode, $this->mcrypt[1]);
- mcrypt_generic_init($td, $this->key, $this->decryptIV);
-
- $plaintext = mdecrypt_generic($td, $ciphertext);
-
- mcrypt_generic_deinit($td);
- mcrypt_module_close($td);
-
- if ($this->continuousBuffer) {
- $this->decryptIV = substr($ciphertext, -16);
- }
-
- return $this->_unpad($plaintext);
- }
-
- return parent::decrypt($ciphertext);
- }
-
- /**
- * Sets MCrypt parameters. (optional)
- *
- * If MCrypt is being used, empty strings will be used, unless otherwise specified.
- *
- * @link http://php.net/function.mcrypt-module-open#function.mcrypt-module-open
- * @access public
- * @param optional Integer $algorithm_directory
- * @param optional Integer $mode_directory
- */
- function setMCrypt($algorithm_directory = '', $mode_directory = '')
- {
- $this->mcrypt = array($algorithm_directory, $mode_directory);
- }
-
- /**
- * Setup mcrypt
- *
- * Validates all the variables.
- *
- * @access private
- */
- function _mcryptSetup()
- {
- if (!$this->changed) {
- return;
- }
-
- if (!$this->explicit_key_length) {
- // this just copied from Crypt_Rijndael::_setup()
- $length = strlen($this->key) >> 2;
- if ($length > 8) {
- $length = 8;
- } else if ($length < 4) {
- $length = 4;
- }
- $this->Nk = $length;
- $this->key_size = $length << 2;
- }
-
- switch ($this->Nk) {
- case 4: // 128
- $this->key_size = 16;
- break;
- case 5: // 160
- case 6: // 192
- $this->key_size = 24;
- break;
- case 7: // 224
- case 8: // 256
- $this->key_size = 32;
- }
-
- $this->key = substr($this->key, 0, $this->key_size);
- $this->encryptIV = $this->decryptIV = $this->iv = str_pad(substr($this->iv, 0, 16), 16, chr(0));
-
- $this->changed = false;
- }
-
- /**
- * Encrypts a block
- *
- * Optimized over Crypt_Rijndael's implementation by means of loop unrolling.
- *
- * @see Crypt_Rijndael::_encryptBlock()
- * @access private
- * @param String $in
- * @return String
- */
- function _encryptBlock($in)
- {
- $state = unpack('N*word', $in);
-
- // addRoundKey and reindex $state
- $state = array(
- $state['word1'] ^ $this->w[0][0],
- $state['word2'] ^ $this->w[0][1],
- $state['word3'] ^ $this->w[0][2],
- $state['word4'] ^ $this->w[0][3]
- );
-
- // shiftRows + subWord + mixColumns + addRoundKey
- // we could loop unroll this and use if statements to do more rounds as necessary, but, in my tests, that yields
- // only a marginal improvement. since that also, imho, hinders the readability of the code, i've opted not to do it.
- for ($round = 1; $round < $this->Nr; $round++) {
- $state = array(
- $this->t0[$state[0] & 0xFF000000] ^ $this->t1[$state[1] & 0x00FF0000] ^ $this->t2[$state[2] & 0x0000FF00] ^ $this->t3[$state[3] & 0x000000FF] ^ $this->w[$round][0],
- $this->t0[$state[1] & 0xFF000000] ^ $this->t1[$state[2] & 0x00FF0000] ^ $this->t2[$state[3] & 0x0000FF00] ^ $this->t3[$state[0] & 0x000000FF] ^ $this->w[$round][1],
- $this->t0[$state[2] & 0xFF000000] ^ $this->t1[$state[3] & 0x00FF0000] ^ $this->t2[$state[0] & 0x0000FF00] ^ $this->t3[$state[1] & 0x000000FF] ^ $this->w[$round][2],
- $this->t0[$state[3] & 0xFF000000] ^ $this->t1[$state[0] & 0x00FF0000] ^ $this->t2[$state[1] & 0x0000FF00] ^ $this->t3[$state[2] & 0x000000FF] ^ $this->w[$round][3]
- );
-
- }
-
- // subWord
- $state = array(
- $this->_subWord($state[0]),
- $this->_subWord($state[1]),
- $this->_subWord($state[2]),
- $this->_subWord($state[3])
- );
-
- // shiftRows + addRoundKey
- $state = array(
- ($state[0] & 0xFF000000) ^ ($state[1] & 0x00FF0000) ^ ($state[2] & 0x0000FF00) ^ ($state[3] & 0x000000FF) ^ $this->w[$this->Nr][0],
- ($state[1] & 0xFF000000) ^ ($state[2] & 0x00FF0000) ^ ($state[3] & 0x0000FF00) ^ ($state[0] & 0x000000FF) ^ $this->w[$this->Nr][1],
- ($state[2] & 0xFF000000) ^ ($state[3] & 0x00FF0000) ^ ($state[0] & 0x0000FF00) ^ ($state[1] & 0x000000FF) ^ $this->w[$this->Nr][2],
- ($state[3] & 0xFF000000) ^ ($state[0] & 0x00FF0000) ^ ($state[1] & 0x0000FF00) ^ ($state[2] & 0x000000FF) ^ $this->w[$this->Nr][3]
- );
-
- return pack('N*', $state[0], $state[1], $state[2], $state[3]);
- }
-
- /**
- * Decrypts a block
- *
- * Optimized over Crypt_Rijndael's implementation by means of loop unrolling.
- *
- * @see Crypt_Rijndael::_decryptBlock()
- * @access private
- * @param String $in
- * @return String
- */
- function _decryptBlock($in)
- {
- $state = unpack('N*word', $in);
-
- // addRoundKey and reindex $state
- $state = array(
- $state['word1'] ^ $this->dw[$this->Nr][0],
- $state['word2'] ^ $this->dw[$this->Nr][1],
- $state['word3'] ^ $this->dw[$this->Nr][2],
- $state['word4'] ^ $this->dw[$this->Nr][3]
- );
-
-
- // invShiftRows + invSubBytes + invMixColumns + addRoundKey
- for ($round = $this->Nr - 1; $round > 0; $round--) {
- $state = array(
- $this->dt0[$state[0] & 0xFF000000] ^ $this->dt1[$state[3] & 0x00FF0000] ^ $this->dt2[$state[2] & 0x0000FF00] ^ $this->dt3[$state[1] & 0x000000FF] ^ $this->dw[$round][0],
- $this->dt0[$state[1] & 0xFF000000] ^ $this->dt1[$state[0] & 0x00FF0000] ^ $this->dt2[$state[3] & 0x0000FF00] ^ $this->dt3[$state[2] & 0x000000FF] ^ $this->dw[$round][1],
- $this->dt0[$state[2] & 0xFF000000] ^ $this->dt1[$state[1] & 0x00FF0000] ^ $this->dt2[$state[0] & 0x0000FF00] ^ $this->dt3[$state[3] & 0x000000FF] ^ $this->dw[$round][2],
- $this->dt0[$state[3] & 0xFF000000] ^ $this->dt1[$state[2] & 0x00FF0000] ^ $this->dt2[$state[1] & 0x0000FF00] ^ $this->dt3[$state[0] & 0x000000FF] ^ $this->dw[$round][3]
- );
- }
-
- // invShiftRows + invSubWord + addRoundKey
- $state = array(
- $this->_invSubWord(($state[0] & 0xFF000000) ^ ($state[3] & 0x00FF0000) ^ ($state[2] & 0x0000FF00) ^ ($state[1] & 0x000000FF)) ^ $this->dw[0][0],
- $this->_invSubWord(($state[1] & 0xFF000000) ^ ($state[0] & 0x00FF0000) ^ ($state[3] & 0x0000FF00) ^ ($state[2] & 0x000000FF)) ^ $this->dw[0][1],
- $this->_invSubWord(($state[2] & 0xFF000000) ^ ($state[1] & 0x00FF0000) ^ ($state[0] & 0x0000FF00) ^ ($state[3] & 0x000000FF)) ^ $this->dw[0][2],
- $this->_invSubWord(($state[3] & 0xFF000000) ^ ($state[2] & 0x00FF0000) ^ ($state[1] & 0x0000FF00) ^ ($state[0] & 0x000000FF)) ^ $this->dw[0][3]
- );
-
- return pack('N*', $state[0], $state[1], $state[2], $state[3]);
- }
-}
-
-// vim: ts=4:sw=4:et:
+<?php +/* vim: set expandtab tabstop=4 shiftwidth=4 softtabstop=4: */ + +/** + * Pure-PHP implementation of AES. + * + * Uses mcrypt, if available, 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 160-bits and 160 bits will be the key length until {@link Crypt_Rijndael::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: This library is free software; you can redistribute it and/or + * modify it under the terms of the GNU Lesser General Public + * License as published by the Free Software Foundation; either + * version 2.1 of the License, or (at your option) any later version. + * + * This library is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + * Lesser General Public License for more details. + * + * You should have received a copy of the GNU Lesser General Public + * License along with this library; if not, write to the Free Software + * Foundation, Inc., 59 Temple Place, Suite 330, Boston, + * MA 02111-1307 USA + * + * @category Crypt + * @package Crypt_AES + * @author Jim Wigginton <terrafrost@php.net> + * @copyright MMVIII Jim Wigginton + * @license http://www.gnu.org/licenses/lgpl.txt + * @version $Id: AES.php,v 1.7 2010/02/09 06:10:25 terrafrost Exp $ + * @link http://phpseclib.sourceforge.net + */ + +/** + * Include 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', -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_AES_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_AES_MODE_CBC', 2); +/**#@-*/ + +/**#@+ + * @access private + * @see Crypt_AES::Crypt_AES() + */ +/** + * Toggles the internal implementation + */ +define('CRYPT_AES_MODE_INTERNAL', 1); +/** + * Toggles the mcrypt implementation + */ +define('CRYPT_AES_MODE_MCRYPT', 2); +/**#@-*/ + +/** + * 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 { + /** + * 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_AES::encrypt() + * @var String + * @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_AES::decrypt() + * @var String + * @access private + */ + var $demcrypt; + + /** + * Default Constructor. + * + * Determines whether or not the mcrypt extension should be used. $mode should only, at present, be + * CRYPT_AES_MODE_ECB or CRYPT_AES_MODE_CBC. If not explictly set, CRYPT_AES_MODE_CBC will be used. + * + * @param optional Integer $mode + * @return Crypt_AES + * @access public + */ + function Crypt_AES($mode = CRYPT_AES_MODE_CBC) + { + if ( !defined('CRYPT_AES_MODE') ) { + switch (true) { + case extension_loaded('mcrypt'): + // i'd check to see if aes was supported, by doing in_array('des', mcrypt_list_algorithms('')), + // but since that can be changed after the object has been created, there doesn't seem to be + // a lot of point... + define('CRYPT_AES_MODE', CRYPT_AES_MODE_MCRYPT); + break; + default: + define('CRYPT_AES_MODE', CRYPT_AES_MODE_INTERNAL); + } + } + + switch ( CRYPT_AES_MODE ) { + case CRYPT_AES_MODE_MCRYPT: + switch ($mode) { + case CRYPT_AES_MODE_ECB: + $this->mode = MCRYPT_MODE_ECB; + break; + case CRYPT_AES_MODE_CTR: + // ctr doesn't have a constant associated with it even though it appears to be fairly widely + // supported. in lieu of knowing just how widely supported it is, i've, for now, opted not to + // include a compatibility layer. the layer has been implemented but, for now, is commented out. + $this->mode = 'ctr'; + //$this->mode = in_array('ctr', mcrypt_list_modes()) ? 'ctr' : CRYPT_AES_MODE_CTR; + break; + case CRYPT_AES_MODE_CBC: + default: + $this->mode = MCRYPT_MODE_CBC; + } + + break; + default: + switch ($mode) { + case CRYPT_AES_MODE_ECB: + $this->mode = CRYPT_RIJNDAEL_MODE_ECB; + break; + case CRYPT_AES_MODE_CTR: + $this->mode = CRYPT_RIJNDAEL_MODE_CTR; + break; + case CRYPT_AES_MODE_CBC: + default: + $this->mode = CRYPT_RIJNDAEL_MODE_CBC; + } + } + + if (CRYPT_AES_MODE == CRYPT_AES_MODE_INTERNAL) { + parent::Crypt_Rijndael($this->mode); + } + } + + /** + * Dummy function + * + * Since Crypt_AES extends Crypt_Rijndael, this function is, technically, available, but it doesn't do anything. + * + * @access public + * @param Integer $length + */ + function setBlockLength($length) + { + return; + } + + /** + * Encrypts a message. + * + * $plaintext will be padded with up to 16 additional bytes. Other AES implementations may or may not pad in the + * same manner. Other common approaches to padding and the reasons why it's necessary are discussed in the following + * URL: + * + * {@link http://www.di-mgt.com.au/cryptopad.html http://www.di-mgt.com.au/cryptopad.html} + * + * An alternative to padding is to, separately, send the length of the file. This is what SSH, in fact, does. + * strlen($plaintext) will still need to be a multiple of 16, however, arbitrary values can be added to make it that + * length. + * + * @see Crypt_AES::decrypt() + * @access public + * @param String $plaintext + */ + function encrypt($plaintext) + { + if ( CRYPT_AES_MODE == CRYPT_AES_MODE_MCRYPT ) { + $this->_mcryptSetup(); + /* + if ($this->mode == CRYPT_AES_MODE_CTR) { + $iv = $this->encryptIV; + $xor = mcrypt_generic($this->enmcrypt, $this->_generate_xor(strlen($plaintext), $iv)); + $ciphertext = $plaintext ^ $xor; + if ($this->continuousBuffer) { + $this->encryptIV = $iv; + } + return $ciphertext; + } + */ + + if ($this->mode != 'ctr') { + $plaintext = $this->_pad($plaintext); + } + + $ciphertext = mcrypt_generic($this->enmcrypt, $plaintext); + + if (!$this->continuousBuffer) { + mcrypt_generic_init($this->enmcrypt, $this->key, $this->iv); + } + + return $ciphertext; + } + + return parent::encrypt($plaintext); + } + + /** + * Decrypts a message. + * + * If strlen($ciphertext) is not a multiple of 16, null bytes will be added to the end of the string until it is. + * + * @see Crypt_AES::encrypt() + * @access public + * @param String $ciphertext + */ + function decrypt($ciphertext) + { + if ( CRYPT_AES_MODE == CRYPT_AES_MODE_MCRYPT ) { + $this->_mcryptSetup(); + /* + if ($this->mode == CRYPT_AES_MODE_CTR) { + $iv = $this->decryptIV; + $xor = mcrypt_generic($this->enmcrypt, $this->_generate_xor(strlen($ciphertext), $iv)); + $plaintext = $ciphertext ^ $xor; + if ($this->continuousBuffer) { + $this->decryptIV = $iv; + } + return $plaintext; + } + */ + + if ($this->mode != 'ctr') { + // we pad with chr(0) since that's what mcrypt_generic does. to quote from http://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) + 15) & 0xFFFFFFF0, chr(0)); + } + + $plaintext = mdecrypt_generic($this->demcrypt, $ciphertext); + + if (!$this->continuousBuffer) { + mcrypt_generic_init($this->demcrypt, $this->key, $this->iv); + } + + return $this->mode != 'ctr' ? $this->_unpad($plaintext) : $plaintext; + } + + return parent::decrypt($ciphertext); + } + + /** + * Setup mcrypt + * + * Validates all the variables. + * + * @access private + */ + function _mcryptSetup() + { + if (!$this->changed) { + return; + } + + if (!$this->explicit_key_length) { + // this just copied from Crypt_Rijndael::_setup() + $length = strlen($this->key) >> 2; + if ($length > 8) { + $length = 8; + } else if ($length < 4) { + $length = 4; + } + $this->Nk = $length; + $this->key_size = $length << 2; + } + + switch ($this->Nk) { + case 4: // 128 + $this->key_size = 16; + break; + case 5: // 160 + case 6: // 192 + $this->key_size = 24; + break; + case 7: // 224 + case 8: // 256 + $this->key_size = 32; + } + + $this->key = substr($this->key, 0, $this->key_size); + $this->encryptIV = $this->decryptIV = $this->iv = str_pad(substr($this->iv, 0, 16), 16, chr(0)); + + if (!isset($this->enmcrypt)) { + $mode = $this->mode; + //$mode = $this->mode == CRYPT_AES_MODE_CTR ? MCRYPT_MODE_ECB : $this->mode; + + $this->demcrypt = mcrypt_module_open(MCRYPT_RIJNDAEL_128, '', $mode, ''); + $this->enmcrypt = mcrypt_module_open(MCRYPT_RIJNDAEL_128, '', $mode, ''); + } // else should mcrypt_generic_deinit be called? + + mcrypt_generic_init($this->demcrypt, $this->key, $this->iv); + mcrypt_generic_init($this->enmcrypt, $this->key, $this->iv); + + $this->changed = false; + } + + /** + * Encrypts a block + * + * Optimized over Crypt_Rijndael's implementation by means of loop unrolling. + * + * @see Crypt_Rijndael::_encryptBlock() + * @access private + * @param String $in + * @return String + */ + function _encryptBlock($in) + { + $state = unpack('N*word', $in); + + $Nr = $this->Nr; + $w = $this->w; + $t0 = $this->t0; + $t1 = $this->t1; + $t2 = $this->t2; + $t3 = $this->t3; + + // addRoundKey and reindex $state + $state = array( + $state['word1'] ^ $w[0][0], + $state['word2'] ^ $w[0][1], + $state['word3'] ^ $w[0][2], + $state['word4'] ^ $w[0][3] + ); + + // shiftRows + subWord + mixColumns + addRoundKey + // we could loop unroll this and use if statements to do more rounds as necessary, but, in my tests, that yields + // only a marginal improvement. since that also, imho, hinders the readability of the code, i've opted not to do it. + for ($round = 1; $round < $this->Nr; $round++) { + $state = array( + $t0[$state[0] & 0xFF000000] ^ $t1[$state[1] & 0x00FF0000] ^ $t2[$state[2] & 0x0000FF00] ^ $t3[$state[3] & 0x000000FF] ^ $w[$round][0], + $t0[$state[1] & 0xFF000000] ^ $t1[$state[2] & 0x00FF0000] ^ $t2[$state[3] & 0x0000FF00] ^ $t3[$state[0] & 0x000000FF] ^ $w[$round][1], + $t0[$state[2] & 0xFF000000] ^ $t1[$state[3] & 0x00FF0000] ^ $t2[$state[0] & 0x0000FF00] ^ $t3[$state[1] & 0x000000FF] ^ $w[$round][2], + $t0[$state[3] & 0xFF000000] ^ $t1[$state[0] & 0x00FF0000] ^ $t2[$state[1] & 0x0000FF00] ^ $t3[$state[2] & 0x000000FF] ^ $w[$round][3] + ); + + } + + // subWord + $state = array( + $this->_subWord($state[0]), + $this->_subWord($state[1]), + $this->_subWord($state[2]), + $this->_subWord($state[3]) + ); + + // shiftRows + addRoundKey + $state = array( + ($state[0] & 0xFF000000) ^ ($state[1] & 0x00FF0000) ^ ($state[2] & 0x0000FF00) ^ ($state[3] & 0x000000FF) ^ $this->w[$this->Nr][0], + ($state[1] & 0xFF000000) ^ ($state[2] & 0x00FF0000) ^ ($state[3] & 0x0000FF00) ^ ($state[0] & 0x000000FF) ^ $this->w[$this->Nr][1], + ($state[2] & 0xFF000000) ^ ($state[3] & 0x00FF0000) ^ ($state[0] & 0x0000FF00) ^ ($state[1] & 0x000000FF) ^ $this->w[$this->Nr][2], + ($state[3] & 0xFF000000) ^ ($state[0] & 0x00FF0000) ^ ($state[1] & 0x0000FF00) ^ ($state[2] & 0x000000FF) ^ $this->w[$this->Nr][3] + ); + + return pack('N*', $state[0], $state[1], $state[2], $state[3]); + } + + /** + * Decrypts a block + * + * Optimized over Crypt_Rijndael's implementation by means of loop unrolling. + * + * @see Crypt_Rijndael::_decryptBlock() + * @access private + * @param String $in + * @return String + */ + function _decryptBlock($in) + { + $state = unpack('N*word', $in); + + $Nr = $this->Nr; + $dw = $this->dw; + $dt0 = $this->dt0; + $dt1 = $this->dt1; + $dt2 = $this->dt2; + $dt3 = $this->dt3; + + // addRoundKey and reindex $state + $state = array( + $state['word1'] ^ $dw[$this->Nr][0], + $state['word2'] ^ $dw[$this->Nr][1], + $state['word3'] ^ $dw[$this->Nr][2], + $state['word4'] ^ $dw[$this->Nr][3] + ); + + + // invShiftRows + invSubBytes + invMixColumns + addRoundKey + for ($round = $this->Nr - 1; $round > 0; $round--) { + $state = array( + $dt0[$state[0] & 0xFF000000] ^ $dt1[$state[3] & 0x00FF0000] ^ $dt2[$state[2] & 0x0000FF00] ^ $dt3[$state[1] & 0x000000FF] ^ $dw[$round][0], + $dt0[$state[1] & 0xFF000000] ^ $dt1[$state[0] & 0x00FF0000] ^ $dt2[$state[3] & 0x0000FF00] ^ $dt3[$state[2] & 0x000000FF] ^ $dw[$round][1], + $dt0[$state[2] & 0xFF000000] ^ $dt1[$state[1] & 0x00FF0000] ^ $dt2[$state[0] & 0x0000FF00] ^ $dt3[$state[3] & 0x000000FF] ^ $dw[$round][2], + $dt0[$state[3] & 0xFF000000] ^ $dt1[$state[2] & 0x00FF0000] ^ $dt2[$state[1] & 0x0000FF00] ^ $dt3[$state[0] & 0x000000FF] ^ $dw[$round][3] + ); + } + + // invShiftRows + invSubWord + addRoundKey + $state = array( + $this->_invSubWord(($state[0] & 0xFF000000) ^ ($state[3] & 0x00FF0000) ^ ($state[2] & 0x0000FF00) ^ ($state[1] & 0x000000FF)) ^ $dw[0][0], + $this->_invSubWord(($state[1] & 0xFF000000) ^ ($state[0] & 0x00FF0000) ^ ($state[3] & 0x0000FF00) ^ ($state[2] & 0x000000FF)) ^ $dw[0][1], + $this->_invSubWord(($state[2] & 0xFF000000) ^ ($state[1] & 0x00FF0000) ^ ($state[0] & 0x0000FF00) ^ ($state[3] & 0x000000FF)) ^ $dw[0][2], + $this->_invSubWord(($state[3] & 0xFF000000) ^ ($state[2] & 0x00FF0000) ^ ($state[1] & 0x0000FF00) ^ ($state[0] & 0x000000FF)) ^ $dw[0][3] + ); + + return pack('N*', $state[0], $state[1], $state[2], $state[3]); + } +} + +// vim: ts=4:sw=4:et: // vim6: fdl=1:
\ No newline at end of file diff --git a/plugins/OStatus/extlib/Crypt/DES.php b/plugins/OStatus/extlib/Crypt/DES.php index 3fd0b65ec..985ed25b5 100644 --- a/plugins/OStatus/extlib/Crypt/DES.php +++ b/plugins/OStatus/extlib/Crypt/DES.php @@ -1,851 +1,945 @@ -<?php
-/* vim: set expandtab tabstop=4 shiftwidth=4 softtabstop=4: */
-
-/**
- * Pure-PHP implementation of DES.
- *
- * Uses mcrypt, if available, and an internal implementation, otherwise.
- *
- * PHP versions 4 and 5
- *
- * Useful resources are as follows:
- *
- * - {@link http://en.wikipedia.org/wiki/DES_supplementary_material Wikipedia: DES supplementary material}
- * - {@link http://www.itl.nist.gov/fipspubs/fip46-2.htm FIPS 46-2 - (DES), Data Encryption Standard}
- * - {@link http://www.cs.eku.edu/faculty/styer/460/Encrypt/JS-DES.html JavaScript DES Example}
- *
- * Here's a short example of how to use this library:
- * <code>
- * <?php
- * include('Crypt/DES.php');
- *
- * $des = new Crypt_DES();
- *
- * $des->setKey('abcdefgh');
- *
- * $size = 10 * 1024;
- * $plaintext = '';
- * for ($i = 0; $i < $size; $i++) {
- * $plaintext.= 'a';
- * }
- *
- * echo $des->decrypt($des->encrypt($plaintext));
- * ?>
- * </code>
- *
- * LICENSE: This library is free software; you can redistribute it and/or
- * modify it under the terms of the GNU Lesser General Public
- * License as published by the Free Software Foundation; either
- * version 2.1 of the License, or (at your option) any later version.
- *
- * This library is distributed in the hope that it will be useful,
- * but WITHOUT ANY WARRANTY; without even the implied warranty of
- * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
- * Lesser General Public License for more details.
- *
- * You should have received a copy of the GNU Lesser General Public
- * License along with this library; if not, write to the Free Software
- * Foundation, Inc., 59 Temple Place, Suite 330, Boston,
- * MA 02111-1307 USA
- *
- * @category Crypt
- * @package Crypt_DES
- * @author Jim Wigginton <terrafrost@php.net>
- * @copyright MMVII Jim Wigginton
- * @license http://www.gnu.org/licenses/lgpl.txt
- * @version $Id: DES.php,v 1.9 2009/11/23 19:06:06 terrafrost Exp $
- * @link http://phpseclib.sourceforge.net
- */
-
-/**#@+
- * @access private
- * @see Crypt_DES::_prepareKey()
- * @see Crypt_DES::_processBlock()
- */
-/**
- * Contains array_reverse($keys[CRYPT_DES_DECRYPT])
- */
-define('CRYPT_DES_ENCRYPT', 0);
-/**
- * Contains array_reverse($keys[CRYPT_DES_ENCRYPT])
- */
-define('CRYPT_DES_DECRYPT', 1);
-/**#@-*/
-
-/**#@+
- * @access public
- * @see Crypt_DES::encrypt()
- * @see Crypt_DES::decrypt()
- */
-/**
- * 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_DES_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_DES_MODE_CBC', 2);
-/**#@-*/
-
-/**#@+
- * @access private
- * @see Crypt_DES::Crypt_DES()
- */
-/**
- * Toggles the internal implementation
- */
-define('CRYPT_DES_MODE_INTERNAL', 1);
-/**
- * Toggles the mcrypt implementation
- */
-define('CRYPT_DES_MODE_MCRYPT', 2);
-/**#@-*/
-
-/**
- * Pure-PHP implementation of DES.
- *
- * @author Jim Wigginton <terrafrost@php.net>
- * @version 0.1.0
- * @access public
- * @package Crypt_DES
- */
-class Crypt_DES {
- /**
- * The Key Schedule
- *
- * @see Crypt_DES::setKey()
- * @var Array
- * @access private
- */
- var $keys = "\0\0\0\0\0\0\0\0";
-
- /**
- * The Encryption Mode
- *
- * @see Crypt_DES::Crypt_DES()
- * @var Integer
- * @access private
- */
- var $mode;
-
- /**
- * Continuous Buffer status
- *
- * @see Crypt_DES::enableContinuousBuffer()
- * @var Boolean
- * @access private
- */
- var $continuousBuffer = false;
-
- /**
- * Padding status
- *
- * @see Crypt_DES::enablePadding()
- * @var Boolean
- * @access private
- */
- var $padding = true;
-
- /**
- * The Initialization Vector
- *
- * @see Crypt_DES::setIV()
- * @var String
- * @access private
- */
- var $iv = "\0\0\0\0\0\0\0\0";
-
- /**
- * A "sliding" Initialization Vector
- *
- * @see Crypt_DES::enableContinuousBuffer()
- * @var String
- * @access private
- */
- var $encryptIV = "\0\0\0\0\0\0\0\0";
-
- /**
- * A "sliding" Initialization Vector
- *
- * @see Crypt_DES::enableContinuousBuffer()
- * @var String
- * @access private
- */
- var $decryptIV = "\0\0\0\0\0\0\0\0";
-
- /**
- * MCrypt parameters
- *
- * @see Crypt_DES::setMCrypt()
- * @var Array
- * @access private
- */
- var $mcrypt = array('', '');
-
- /**
- * Default Constructor.
- *
- * Determines whether or not the mcrypt extension should be used. $mode should only, at present, be
- * CRYPT_DES_MODE_ECB or CRYPT_DES_MODE_CBC. If not explictly set, CRYPT_DES_MODE_CBC will be used.
- *
- * @param optional Integer $mode
- * @return Crypt_DES
- * @access public
- */
- function Crypt_DES($mode = CRYPT_MODE_DES_CBC)
- {
- if ( !defined('CRYPT_DES_MODE') ) {
- switch (true) {
- case extension_loaded('mcrypt'):
- // i'd check to see if des was supported, by doing in_array('des', mcrypt_list_algorithms('')),
- // but since that can be changed after the object has been created, there doesn't seem to be
- // a lot of point...
- define('CRYPT_DES_MODE', CRYPT_DES_MODE_MCRYPT);
- break;
- default:
- define('CRYPT_DES_MODE', CRYPT_DES_MODE_INTERNAL);
- }
- }
-
- switch ( CRYPT_DES_MODE ) {
- case CRYPT_DES_MODE_MCRYPT:
- switch ($mode) {
- case CRYPT_DES_MODE_ECB:
- $this->mode = MCRYPT_MODE_ECB;
- break;
- case CRYPT_DES_MODE_CBC:
- default:
- $this->mode = MCRYPT_MODE_CBC;
- }
-
- break;
- default:
- switch ($mode) {
- case CRYPT_DES_MODE_ECB:
- case CRYPT_DES_MODE_CBC:
- $this->mode = $mode;
- break;
- default:
- $this->mode = CRYPT_DES_MODE_CBC;
- }
- }
- }
-
- /**
- * Sets the key.
- *
- * Keys can be of any length. DES, itself, uses 64-bit keys (eg. strlen($key) == 8), however, we
- * only use the first eight, if $key has more then eight characters in it, and pad $key with the
- * null byte if it is less then eight characters long.
- *
- * DES also requires that every eighth bit be a parity bit, however, we'll ignore that.
- *
- * If the key is not explicitly set, it'll be assumed to be all zero's.
- *
- * @access public
- * @param String $key
- */
- function setKey($key)
- {
- $this->keys = ( CRYPT_DES_MODE == CRYPT_DES_MODE_MCRYPT ) ? substr($key, 0, 8) : $this->_prepareKey($key);
- }
-
- /**
- * Sets the initialization vector. (optional)
- *
- * SetIV is not required when CRYPT_DES_MODE_ECB is being used. If not explictly set, it'll be assumed
- * to be all zero's.
- *
- * @access public
- * @param String $iv
- */
- function setIV($iv)
- {
- $this->encryptIV = $this->decryptIV = $this->iv = str_pad(substr($iv, 0, 8), 8, chr(0));;
- }
-
- /**
- * Sets MCrypt parameters. (optional)
- *
- * If MCrypt is being used, empty strings will be used, unless otherwise specified.
- *
- * @link http://php.net/function.mcrypt-module-open#function.mcrypt-module-open
- * @access public
- * @param optional Integer $algorithm_directory
- * @param optional Integer $mode_directory
- */
- function setMCrypt($algorithm_directory = '', $mode_directory = '')
- {
- $this->mcrypt = array($algorithm_directory, $mode_directory);
- }
-
- /**
- * Encrypts a message.
- *
- * $plaintext will be padded with up to 8 additional bytes. Other DES implementations may or may not pad in the
- * same manner. Other common approaches to padding and the reasons why it's necessary are discussed in the following
- * URL:
- *
- * {@link http://www.di-mgt.com.au/cryptopad.html http://www.di-mgt.com.au/cryptopad.html}
- *
- * An alternative to padding is to, separately, send the length of the file. This is what SSH, in fact, does.
- * strlen($plaintext) will still need to be a multiple of 8, however, arbitrary values can be added to make it that
- * length.
- *
- * @see Crypt_DES::decrypt()
- * @access public
- * @param String $plaintext
- */
- function encrypt($plaintext)
- {
- $plaintext = $this->_pad($plaintext);
-
- if ( CRYPT_DES_MODE == CRYPT_DES_MODE_MCRYPT ) {
- $td = mcrypt_module_open(MCRYPT_DES, $this->mcrypt[0], $this->mode, $this->mcrypt[1]);
- mcrypt_generic_init($td, $this->keys, $this->encryptIV);
-
- $ciphertext = mcrypt_generic($td, $plaintext);
-
- mcrypt_generic_deinit($td);
- mcrypt_module_close($td);
-
- if ($this->continuousBuffer) {
- $this->encryptIV = substr($ciphertext, -8);
- }
-
- return $ciphertext;
- }
-
- if (!is_array($this->keys)) {
- $this->keys = $this->_prepareKey("\0\0\0\0\0\0\0\0");
- }
-
- $ciphertext = '';
- switch ($this->mode) {
- case CRYPT_DES_MODE_ECB:
- for ($i = 0; $i < strlen($plaintext); $i+=8) {
- $ciphertext.= $this->_processBlock(substr($plaintext, $i, 8), CRYPT_DES_ENCRYPT);
- }
- break;
- case CRYPT_DES_MODE_CBC:
- $xor = $this->encryptIV;
- for ($i = 0; $i < strlen($plaintext); $i+=8) {
- $block = substr($plaintext, $i, 8);
- $block = $this->_processBlock($block ^ $xor, CRYPT_DES_ENCRYPT);
- $xor = $block;
- $ciphertext.= $block;
- }
- if ($this->continuousBuffer) {
- $this->encryptIV = $xor;
- }
- }
-
- return $ciphertext;
- }
-
- /**
- * Decrypts a message.
- *
- * If strlen($ciphertext) is not a multiple of 8, null bytes will be added to the end of the string until it is.
- *
- * @see Crypt_DES::encrypt()
- * @access public
- * @param String $ciphertext
- */
- function decrypt($ciphertext)
- {
- // we pad with chr(0) since that's what mcrypt_generic does. to quote from http://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) + 7) & 0xFFFFFFF8, chr(0));
-
- if ( CRYPT_DES_MODE == CRYPT_DES_MODE_MCRYPT ) {
- $td = mcrypt_module_open(MCRYPT_DES, $this->mcrypt[0], $this->mode, $this->mcrypt[1]);
- mcrypt_generic_init($td, $this->keys, $this->decryptIV);
-
- $plaintext = mdecrypt_generic($td, $ciphertext);
-
- mcrypt_generic_deinit($td);
- mcrypt_module_close($td);
-
- if ($this->continuousBuffer) {
- $this->decryptIV = substr($ciphertext, -8);
- }
-
- return $this->_unpad($plaintext);
- }
-
- if (!is_array($this->keys)) {
- $this->keys = $this->_prepareKey("\0\0\0\0\0\0\0\0");
- }
-
- $plaintext = '';
- switch ($this->mode) {
- case CRYPT_DES_MODE_ECB:
- for ($i = 0; $i < strlen($ciphertext); $i+=8) {
- $plaintext.= $this->_processBlock(substr($ciphertext, $i, 8), CRYPT_DES_DECRYPT);
- }
- break;
- case CRYPT_DES_MODE_CBC:
- $xor = $this->decryptIV;
- for ($i = 0; $i < strlen($ciphertext); $i+=8) {
- $block = substr($ciphertext, $i, 8);
- $plaintext.= $this->_processBlock($block, CRYPT_DES_DECRYPT) ^ $xor;
- $xor = $block;
- }
- if ($this->continuousBuffer) {
- $this->decryptIV = $xor;
- }
- }
-
- return $this->_unpad($plaintext);
- }
-
- /**
- * Treat consecutive "packets" as if they are a continuous buffer.
- *
- * Say you have a 16-byte plaintext $plaintext. Using the default behavior, the two following code snippets
- * will yield different outputs:
- *
- * <code>
- * echo $des->encrypt(substr($plaintext, 0, 8));
- * echo $des->encrypt(substr($plaintext, 8, 8));
- * </code>
- * <code>
- * echo $des->encrypt($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>
- * $des->encrypt(substr($plaintext, 0, 8));
- * echo $des->decrypt($des->encrypt(substr($plaintext, 8, 8)));
- * </code>
- * <code>
- * echo $des->decrypt($des->encrypt(substr($plaintext, 8, 8)));
- * </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_DES() 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.
- *
- * @see Crypt_DES::disableContinuousBuffer()
- * @access public
- */
- function enableContinuousBuffer()
- {
- $this->continuousBuffer = true;
- }
-
- /**
- * Treat consecutive packets as if they are a discontinuous buffer.
- *
- * The default behavior.
- *
- * @see Crypt_DES::enableContinuousBuffer()
- * @access public
- */
- function disableContinuousBuffer()
- {
- $this->continuousBuffer = false;
- $this->encryptIV = $this->iv;
- $this->decryptIV = $this->iv;
- }
-
- /**
- * Pad "packets".
- *
- * DES works by encrypting eight bytes at a time. If you ever need to encrypt or decrypt something that's not
- * a multiple of eight, it becomes necessary to pad the input so that it's length is a multiple of eight.
- *
- * Padding is enabled by default. Sometimes, however, it is undesirable to pad strings. Such is the case in SSH1,
- * 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_DES::disablePadding()
- * @access public
- */
- function enablePadding()
- {
- $this->padding = true;
- }
-
- /**
- * Do not pad packets.
- *
- * @see Crypt_DES::enablePadding()
- * @access public
- */
- function disablePadding()
- {
- $this->padding = false;
- }
-
- /**
- * Pads a string
- *
- * Pads a string using the RSA PKCS padding standards so that its length is a multiple of the blocksize (8).
- * 8 - (strlen($text) & 7) bytes are added, each of which is equal to chr(8 - (strlen($text) & 7)
- *
- * If padding is disabled and $text is not a multiple of the blocksize, the string will be padded regardless
- * and padding will, hence forth, be enabled.
- *
- * @see Crypt_DES::_unpad()
- * @access private
- */
- function _pad($text)
- {
- $length = strlen($text);
-
- if (!$this->padding) {
- if (($length & 7) == 0) {
- return $text;
- } else {
- user_error("The plaintext's length ($length) is not a multiple of the block size (8)", E_USER_NOTICE);
- $this->padding = true;
- }
- }
-
- $pad = 8 - ($length & 7);
- return str_pad($text, $length + $pad, chr($pad));
- }
-
- /**
- * Unpads a string
- *
- * If padding is enabled and the reported padding length is invalid, padding will be, hence forth, disabled.
- *
- * @see Crypt_DES::_pad()
- * @access private
- */
- function _unpad($text)
- {
- if (!$this->padding) {
- return $text;
- }
-
- $length = ord($text[strlen($text) - 1]);
-
- if (!$length || $length > 8) {
- user_error("The number of bytes reported as being padded ($length) is invalid (block size = 8)", E_USER_NOTICE);
- $this->padding = false;
- return $text;
- }
-
- return substr($text, 0, -$length);
- }
-
- /**
- * Encrypts or decrypts a 64-bit block
- *
- * $mode should be either CRYPT_DES_ENCRYPT or CRYPT_DES_DECRYPT. See
- * {@link http://en.wikipedia.org/wiki/Image:Feistel.png Feistel.png} to get a general
- * idea of what this function does.
- *
- * @access private
- * @param String $block
- * @param Integer $mode
- * @return String
- */
- function _processBlock($block, $mode)
- {
- // s-boxes. in the official DES docs, they're described as being matrices that
- // one accesses by using the first and last bits to determine the row and the
- // middle four bits to determine the column. in this implementation, they've
- // been converted to vectors
- static $sbox = array(
- array(
- 14, 0, 4, 15, 13, 7, 1, 4, 2, 14, 15, 2, 11, 13, 8, 1,
- 3, 10 ,10, 6, 6, 12, 12, 11, 5, 9, 9, 5, 0, 3, 7, 8,
- 4, 15, 1, 12, 14, 8, 8, 2, 13, 4, 6, 9, 2, 1, 11, 7,
- 15, 5, 12, 11, 9, 3, 7, 14, 3, 10, 10, 0, 5, 6, 0, 13
- ),
- array(
- 15, 3, 1, 13, 8, 4, 14, 7, 6, 15, 11, 2, 3, 8, 4, 14,
- 9, 12, 7, 0, 2, 1, 13, 10, 12, 6, 0, 9, 5, 11, 10, 5,
- 0, 13, 14, 8, 7, 10, 11, 1, 10, 3, 4, 15, 13, 4, 1, 2,
- 5, 11, 8, 6, 12, 7, 6, 12, 9, 0, 3, 5, 2, 14, 15, 9
- ),
- array(
- 10, 13, 0, 7, 9, 0, 14, 9, 6, 3, 3, 4, 15, 6, 5, 10,
- 1, 2, 13, 8, 12, 5, 7, 14, 11, 12, 4, 11, 2, 15, 8, 1,
- 13, 1, 6, 10, 4, 13, 9, 0, 8, 6, 15, 9, 3, 8, 0, 7,
- 11, 4, 1, 15, 2, 14, 12, 3, 5, 11, 10, 5, 14, 2, 7, 12
- ),
- array(
- 7, 13, 13, 8, 14, 11, 3, 5, 0, 6, 6, 15, 9, 0, 10, 3,
- 1, 4, 2, 7, 8, 2, 5, 12, 11, 1, 12, 10, 4, 14, 15, 9,
- 10, 3, 6, 15, 9, 0, 0, 6, 12, 10, 11, 1, 7, 13, 13, 8,
- 15, 9, 1, 4, 3, 5, 14, 11, 5, 12, 2, 7, 8, 2, 4, 14
- ),
- array(
- 2, 14, 12, 11, 4, 2, 1, 12, 7, 4, 10, 7, 11, 13, 6, 1,
- 8, 5, 5, 0, 3, 15, 15, 10, 13, 3, 0, 9, 14, 8, 9, 6,
- 4, 11, 2, 8, 1, 12, 11, 7, 10, 1, 13, 14, 7, 2, 8, 13,
- 15, 6, 9, 15, 12, 0, 5, 9, 6, 10, 3, 4, 0, 5, 14, 3
- ),
- array(
- 12, 10, 1, 15, 10, 4, 15, 2, 9, 7, 2, 12, 6, 9, 8, 5,
- 0, 6, 13, 1, 3, 13, 4, 14, 14, 0, 7, 11, 5, 3, 11, 8,
- 9, 4, 14, 3, 15, 2, 5, 12, 2, 9, 8, 5, 12, 15, 3, 10,
- 7, 11, 0, 14, 4, 1, 10, 7, 1, 6, 13, 0, 11, 8, 6, 13
- ),
- array(
- 4, 13, 11, 0, 2, 11, 14, 7, 15, 4, 0, 9, 8, 1, 13, 10,
- 3, 14, 12, 3, 9, 5, 7, 12, 5, 2, 10, 15, 6, 8, 1, 6,
- 1, 6, 4, 11, 11, 13, 13, 8, 12, 1, 3, 4, 7, 10, 14, 7,
- 10, 9, 15, 5, 6, 0, 8, 15, 0, 14, 5, 2, 9, 3, 2, 12
- ),
- array(
- 13, 1, 2, 15, 8, 13, 4, 8, 6, 10, 15, 3, 11, 7, 1, 4,
- 10, 12, 9, 5, 3, 6, 14, 11, 5, 0, 0, 14, 12, 9, 7, 2,
- 7, 2, 11, 1, 4, 14, 1, 7, 9, 4, 12, 10, 14, 8, 2, 13,
- 0, 15, 6, 12, 10, 9, 13, 0, 15, 3, 3, 5, 5, 6, 8, 11
- )
- );
-
- $temp = unpack('Na/Nb', $block);
- $block = array($temp['a'], $temp['b']);
-
- // because php does arithmetic right shifts, if the most significant bits are set, right
- // shifting those into the correct position will add 1's - not 0's. this will intefere
- // with the | operation unless a second & is done. so we isolate these bits and left shift
- // them into place. we then & each block with 0x7FFFFFFF to prevennt 1's from being added
- // for any other shifts.
- $msb = array(
- ($block[0] >> 31) & 1,
- ($block[1] >> 31) & 1
- );
- $block[0] &= 0x7FFFFFFF;
- $block[1] &= 0x7FFFFFFF;
-
- // we isolate the appropriate bit in the appropriate integer and shift as appropriate. in
- // some cases, there are going to be multiple bits in the same integer that need to be shifted
- // in the same way. we combine those into one shift operation.
- $block = array(
- (($block[1] & 0x00000040) << 25) | (($block[1] & 0x00004000) << 16) |
- (($block[1] & 0x00400001) << 7) | (($block[1] & 0x40000100) >> 2) |
- (($block[0] & 0x00000040) << 21) | (($block[0] & 0x00004000) << 12) |
- (($block[0] & 0x00400001) << 3) | (($block[0] & 0x40000100) >> 6) |
- (($block[1] & 0x00000010) << 19) | (($block[1] & 0x00001000) << 10) |
- (($block[1] & 0x00100000) << 1) | (($block[1] & 0x10000000) >> 8) |
- (($block[0] & 0x00000010) << 15) | (($block[0] & 0x00001000) << 6) |
- (($block[0] & 0x00100000) >> 3) | (($block[0] & 0x10000000) >> 12) |
- (($block[1] & 0x00000004) << 13) | (($block[1] & 0x00000400) << 4) |
- (($block[1] & 0x00040000) >> 5) | (($block[1] & 0x04000000) >> 14) |
- (($block[0] & 0x00000004) << 9) | ( $block[0] & 0x00000400 ) |
- (($block[0] & 0x00040000) >> 9) | (($block[0] & 0x04000000) >> 18) |
- (($block[1] & 0x00010000) >> 11) | (($block[1] & 0x01000000) >> 20) |
- (($block[0] & 0x00010000) >> 15) | (($block[0] & 0x01000000) >> 24)
- ,
- (($block[1] & 0x00000080) << 24) | (($block[1] & 0x00008000) << 15) |
- (($block[1] & 0x00800002) << 6) | (($block[0] & 0x00000080) << 20) |
- (($block[0] & 0x00008000) << 11) | (($block[0] & 0x00800002) << 2) |
- (($block[1] & 0x00000020) << 18) | (($block[1] & 0x00002000) << 9) |
- ( $block[1] & 0x00200000 ) | (($block[1] & 0x20000000) >> 9) |
- (($block[0] & 0x00000020) << 14) | (($block[0] & 0x00002000) << 5) |
- (($block[0] & 0x00200000) >> 4) | (($block[0] & 0x20000000) >> 13) |
- (($block[1] & 0x00000008) << 12) | (($block[1] & 0x00000800) << 3) |
- (($block[1] & 0x00080000) >> 6) | (($block[1] & 0x08000000) >> 15) |
- (($block[0] & 0x00000008) << 8) | (($block[0] & 0x00000800) >> 1) |
- (($block[0] & 0x00080000) >> 10) | (($block[0] & 0x08000000) >> 19) |
- (($block[1] & 0x00000200) >> 3) | (($block[0] & 0x00000200) >> 7) |
- (($block[1] & 0x00020000) >> 12) | (($block[1] & 0x02000000) >> 21) |
- (($block[0] & 0x00020000) >> 16) | (($block[0] & 0x02000000) >> 25) |
- ($msb[1] << 28) | ($msb[0] << 24)
- );
-
- for ($i = 0; $i < 16; $i++) {
- // start of "the Feistel (F) function" - see the following URL:
- // http://en.wikipedia.org/wiki/Image:Data_Encryption_Standard_InfoBox_Diagram.png
- $temp = (($sbox[0][((($block[1] >> 27) & 0x1F) | (($block[1] & 1) << 5)) ^ $this->keys[$mode][$i][0]]) << 28)
- | (($sbox[1][(($block[1] & 0x1F800000) >> 23) ^ $this->keys[$mode][$i][1]]) << 24)
- | (($sbox[2][(($block[1] & 0x01F80000) >> 19) ^ $this->keys[$mode][$i][2]]) << 20)
- | (($sbox[3][(($block[1] & 0x001F8000) >> 15) ^ $this->keys[$mode][$i][3]]) << 16)
- | (($sbox[4][(($block[1] & 0x0001F800) >> 11) ^ $this->keys[$mode][$i][4]]) << 12)
- | (($sbox[5][(($block[1] & 0x00001F80) >> 7) ^ $this->keys[$mode][$i][5]]) << 8)
- | (($sbox[6][(($block[1] & 0x000001F8) >> 3) ^ $this->keys[$mode][$i][6]]) << 4)
- | ( $sbox[7][((($block[1] & 0x1F) << 1) | (($block[1] >> 31) & 1)) ^ $this->keys[$mode][$i][7]]);
-
- $msb = ($temp >> 31) & 1;
- $temp &= 0x7FFFFFFF;
- $newBlock = (($temp & 0x00010000) << 15) | (($temp & 0x02020120) << 5)
- | (($temp & 0x00001800) << 17) | (($temp & 0x01000000) >> 10)
- | (($temp & 0x00000008) << 24) | (($temp & 0x00100000) << 6)
- | (($temp & 0x00000010) << 21) | (($temp & 0x00008000) << 9)
- | (($temp & 0x00000200) << 12) | (($temp & 0x10000000) >> 27)
- | (($temp & 0x00000040) << 14) | (($temp & 0x08000000) >> 8)
- | (($temp & 0x00004000) << 4) | (($temp & 0x00000002) << 16)
- | (($temp & 0x00442000) >> 6) | (($temp & 0x40800000) >> 15)
- | (($temp & 0x00000001) << 11) | (($temp & 0x20000000) >> 20)
- | (($temp & 0x00080000) >> 13) | (($temp & 0x00000004) << 3)
- | (($temp & 0x04000000) >> 22) | (($temp & 0x00000480) >> 7)
- | (($temp & 0x00200000) >> 19) | ($msb << 23);
- // end of "the Feistel (F) function" - $newBlock is F's output
-
- $temp = $block[1];
- $block[1] = $block[0] ^ $newBlock;
- $block[0] = $temp;
- }
-
- $msb = array(
- ($block[0] >> 31) & 1,
- ($block[1] >> 31) & 1
- );
- $block[0] &= 0x7FFFFFFF;
- $block[1] &= 0x7FFFFFFF;
-
- $block = array(
- (($block[0] & 0x01000004) << 7) | (($block[1] & 0x01000004) << 6) |
- (($block[0] & 0x00010000) << 13) | (($block[1] & 0x00010000) << 12) |
- (($block[0] & 0x00000100) << 19) | (($block[1] & 0x00000100) << 18) |
- (($block[0] & 0x00000001) << 25) | (($block[1] & 0x00000001) << 24) |
- (($block[0] & 0x02000008) >> 2) | (($block[1] & 0x02000008) >> 3) |
- (($block[0] & 0x00020000) << 4) | (($block[1] & 0x00020000) << 3) |
- (($block[0] & 0x00000200) << 10) | (($block[1] & 0x00000200) << 9) |
- (($block[0] & 0x00000002) << 16) | (($block[1] & 0x00000002) << 15) |
- (($block[0] & 0x04000000) >> 11) | (($block[1] & 0x04000000) >> 12) |
- (($block[0] & 0x00040000) >> 5) | (($block[1] & 0x00040000) >> 6) |
- (($block[0] & 0x00000400) << 1) | ( $block[1] & 0x00000400 ) |
- (($block[0] & 0x08000000) >> 20) | (($block[1] & 0x08000000) >> 21) |
- (($block[0] & 0x00080000) >> 14) | (($block[1] & 0x00080000) >> 15) |
- (($block[0] & 0x00000800) >> 8) | (($block[1] & 0x00000800) >> 9)
- ,
- (($block[0] & 0x10000040) << 3) | (($block[1] & 0x10000040) << 2) |
- (($block[0] & 0x00100000) << 9) | (($block[1] & 0x00100000) << 8) |
- (($block[0] & 0x00001000) << 15) | (($block[1] & 0x00001000) << 14) |
- (($block[0] & 0x00000010) << 21) | (($block[1] & 0x00000010) << 20) |
- (($block[0] & 0x20000080) >> 6) | (($block[1] & 0x20000080) >> 7) |
- ( $block[0] & 0x00200000 ) | (($block[1] & 0x00200000) >> 1) |
- (($block[0] & 0x00002000) << 6) | (($block[1] & 0x00002000) << 5) |
- (($block[0] & 0x00000020) << 12) | (($block[1] & 0x00000020) << 11) |
- (($block[0] & 0x40000000) >> 15) | (($block[1] & 0x40000000) >> 16) |
- (($block[0] & 0x00400000) >> 9) | (($block[1] & 0x00400000) >> 10) |
- (($block[0] & 0x00004000) >> 3) | (($block[1] & 0x00004000) >> 4) |
- (($block[0] & 0x00800000) >> 18) | (($block[1] & 0x00800000) >> 19) |
- (($block[0] & 0x00008000) >> 12) | (($block[1] & 0x00008000) >> 13) |
- ($msb[0] << 7) | ($msb[1] << 6)
- );
-
- return pack('NN', $block[0], $block[1]);
- }
-
- /**
- * Creates the key schedule.
- *
- * @access private
- * @param String $key
- * @return Array
- */
- function _prepareKey($key)
- {
- static $shifts = array( // number of key bits shifted per round
- 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1
- );
-
- // pad the key and remove extra characters as appropriate.
- $key = str_pad(substr($key, 0, 8), 8, chr(0));
-
- $temp = unpack('Na/Nb', $key);
- $key = array($temp['a'], $temp['b']);
- $msb = array(
- ($key[0] >> 31) & 1,
- ($key[1] >> 31) & 1
- );
- $key[0] &= 0x7FFFFFFF;
- $key[1] &= 0x7FFFFFFF;
-
- $key = array(
- (($key[1] & 0x00000002) << 26) | (($key[1] & 0x00000204) << 17) |
- (($key[1] & 0x00020408) << 8) | (($key[1] & 0x02040800) >> 1) |
- (($key[0] & 0x00000002) << 22) | (($key[0] & 0x00000204) << 13) |
- (($key[0] & 0x00020408) << 4) | (($key[0] & 0x02040800) >> 5) |
- (($key[1] & 0x04080000) >> 10) | (($key[0] & 0x04080000) >> 14) |
- (($key[1] & 0x08000000) >> 19) | (($key[0] & 0x08000000) >> 23) |
- (($key[0] & 0x00000010) >> 1) | (($key[0] & 0x00001000) >> 10) |
- (($key[0] & 0x00100000) >> 19) | (($key[0] & 0x10000000) >> 28)
- ,
- (($key[1] & 0x00000080) << 20) | (($key[1] & 0x00008000) << 11) |
- (($key[1] & 0x00800000) << 2) | (($key[0] & 0x00000080) << 16) |
- (($key[0] & 0x00008000) << 7) | (($key[0] & 0x00800000) >> 2) |
- (($key[1] & 0x00000040) << 13) | (($key[1] & 0x00004000) << 4) |
- (($key[1] & 0x00400000) >> 5) | (($key[1] & 0x40000000) >> 14) |
- (($key[0] & 0x00000040) << 9) | ( $key[0] & 0x00004000 ) |
- (($key[0] & 0x00400000) >> 9) | (($key[0] & 0x40000000) >> 18) |
- (($key[1] & 0x00000020) << 6) | (($key[1] & 0x00002000) >> 3) |
- (($key[1] & 0x00200000) >> 12) | (($key[1] & 0x20000000) >> 21) |
- (($key[0] & 0x00000020) << 2) | (($key[0] & 0x00002000) >> 7) |
- (($key[0] & 0x00200000) >> 16) | (($key[0] & 0x20000000) >> 25) |
- (($key[1] & 0x00000010) >> 1) | (($key[1] & 0x00001000) >> 10) |
- (($key[1] & 0x00100000) >> 19) | (($key[1] & 0x10000000) >> 28) |
- ($msb[1] << 24) | ($msb[0] << 20)
- );
-
- $keys = array();
- for ($i = 0; $i < 16; $i++) {
- $key[0] <<= $shifts[$i];
- $temp = ($key[0] & 0xF0000000) >> 28;
- $key[0] = ($key[0] | $temp) & 0x0FFFFFFF;
-
- $key[1] <<= $shifts[$i];
- $temp = ($key[1] & 0xF0000000) >> 28;
- $key[1] = ($key[1] | $temp) & 0x0FFFFFFF;
-
- $temp = array(
- (($key[1] & 0x00004000) >> 9) | (($key[1] & 0x00000800) >> 7) |
- (($key[1] & 0x00020000) >> 14) | (($key[1] & 0x00000010) >> 2) |
- (($key[1] & 0x08000000) >> 26) | (($key[1] & 0x00800000) >> 23)
- ,
- (($key[1] & 0x02400000) >> 20) | (($key[1] & 0x00000001) << 4) |
- (($key[1] & 0x00002000) >> 10) | (($key[1] & 0x00040000) >> 18) |
- (($key[1] & 0x00000080) >> 6)
- ,
- ( $key[1] & 0x00000020 ) | (($key[1] & 0x00000200) >> 5) |
- (($key[1] & 0x00010000) >> 13) | (($key[1] & 0x01000000) >> 22) |
- (($key[1] & 0x00000004) >> 1) | (($key[1] & 0x00100000) >> 20)
- ,
- (($key[1] & 0x00001000) >> 7) | (($key[1] & 0x00200000) >> 17) |
- (($key[1] & 0x00000002) << 2) | (($key[1] & 0x00000100) >> 6) |
- (($key[1] & 0x00008000) >> 14) | (($key[1] & 0x04000000) >> 26)
- ,
- (($key[0] & 0x00008000) >> 10) | ( $key[0] & 0x00000010 ) |
- (($key[0] & 0x02000000) >> 22) | (($key[0] & 0x00080000) >> 17) |
- (($key[0] & 0x00000200) >> 8) | (($key[0] & 0x00000002) >> 1)
- ,
- (($key[0] & 0x04000000) >> 21) | (($key[0] & 0x00010000) >> 12) |
- (($key[0] & 0x00000020) >> 2) | (($key[0] & 0x00000800) >> 9) |
- (($key[0] & 0x00800000) >> 22) | (($key[0] & 0x00000100) >> 8)
- ,
- (($key[0] & 0x00001000) >> 7) | (($key[0] & 0x00000088) >> 3) |
- (($key[0] & 0x00020000) >> 14) | (($key[0] & 0x00000001) << 2) |
- (($key[0] & 0x00400000) >> 21)
- ,
- (($key[0] & 0x00000400) >> 5) | (($key[0] & 0x00004000) >> 10) |
- (($key[0] & 0x00000040) >> 3) | (($key[0] & 0x00100000) >> 18) |
- (($key[0] & 0x08000000) >> 26) | (($key[0] & 0x01000000) >> 24)
- );
-
- $keys[] = $temp;
- }
-
- $temp = array(
- CRYPT_DES_ENCRYPT => $keys,
- CRYPT_DES_DECRYPT => array_reverse($keys)
- );
-
- return $temp;
- }
-}
-
-// vim: ts=4:sw=4:et:
+<?php +/* vim: set expandtab tabstop=4 shiftwidth=4 softtabstop=4: */ + +/** + * Pure-PHP implementation of DES. + * + * Uses mcrypt, if available, and an internal implementation, otherwise. + * + * PHP versions 4 and 5 + * + * Useful resources are as follows: + * + * - {@link http://en.wikipedia.org/wiki/DES_supplementary_material Wikipedia: DES supplementary material} + * - {@link http://www.itl.nist.gov/fipspubs/fip46-2.htm FIPS 46-2 - (DES), Data Encryption Standard} + * - {@link http://www.cs.eku.edu/faculty/styer/460/Encrypt/JS-DES.html JavaScript DES Example} + * + * Here's a short example of how to use this library: + * <code> + * <?php + * include('Crypt/DES.php'); + * + * $des = new Crypt_DES(); + * + * $des->setKey('abcdefgh'); + * + * $size = 10 * 1024; + * $plaintext = ''; + * for ($i = 0; $i < $size; $i++) { + * $plaintext.= 'a'; + * } + * + * echo $des->decrypt($des->encrypt($plaintext)); + * ?> + * </code> + * + * LICENSE: This library is free software; you can redistribute it and/or + * modify it under the terms of the GNU Lesser General Public + * License as published by the Free Software Foundation; either + * version 2.1 of the License, or (at your option) any later version. + * + * This library is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + * Lesser General Public License for more details. + * + * You should have received a copy of the GNU Lesser General Public + * License along with this library; if not, write to the Free Software + * Foundation, Inc., 59 Temple Place, Suite 330, Boston, + * MA 02111-1307 USA + * + * @category Crypt + * @package Crypt_DES + * @author Jim Wigginton <terrafrost@php.net> + * @copyright MMVII Jim Wigginton + * @license http://www.gnu.org/licenses/lgpl.txt + * @version $Id: DES.php,v 1.12 2010/02/09 06:10:26 terrafrost Exp $ + * @link http://phpseclib.sourceforge.net + */ + +/**#@+ + * @access private + * @see Crypt_DES::_prepareKey() + * @see Crypt_DES::_processBlock() + */ +/** + * Contains array_reverse($keys[CRYPT_DES_DECRYPT]) + */ +define('CRYPT_DES_ENCRYPT', 0); +/** + * Contains array_reverse($keys[CRYPT_DES_ENCRYPT]) + */ +define('CRYPT_DES_DECRYPT', 1); +/**#@-*/ + +/**#@+ + * @access public + * @see Crypt_DES::encrypt() + * @see Crypt_DES::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_DES_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_DES_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_DES_MODE_CBC', 2); +/**#@-*/ + +/**#@+ + * @access private + * @see Crypt_DES::Crypt_DES() + */ +/** + * Toggles the internal implementation + */ +define('CRYPT_DES_MODE_INTERNAL', 1); +/** + * Toggles the mcrypt implementation + */ +define('CRYPT_DES_MODE_MCRYPT', 2); +/**#@-*/ + +/** + * Pure-PHP implementation of DES. + * + * @author Jim Wigginton <terrafrost@php.net> + * @version 0.1.0 + * @access public + * @package Crypt_DES + */ +class Crypt_DES { + /** + * The Key Schedule + * + * @see Crypt_DES::setKey() + * @var Array + * @access private + */ + var $keys = "\0\0\0\0\0\0\0\0"; + + /** + * The Encryption Mode + * + * @see Crypt_DES::Crypt_DES() + * @var Integer + * @access private + */ + var $mode; + + /** + * Continuous Buffer status + * + * @see Crypt_DES::enableContinuousBuffer() + * @var Boolean + * @access private + */ + var $continuousBuffer = false; + + /** + * Padding status + * + * @see Crypt_DES::enablePadding() + * @var Boolean + * @access private + */ + var $padding = true; + + /** + * The Initialization Vector + * + * @see Crypt_DES::setIV() + * @var String + * @access private + */ + var $iv = "\0\0\0\0\0\0\0\0"; + + /** + * A "sliding" Initialization Vector + * + * @see Crypt_DES::enableContinuousBuffer() + * @var String + * @access private + */ + var $encryptIV = "\0\0\0\0\0\0\0\0"; + + /** + * A "sliding" Initialization Vector + * + * @see Crypt_DES::enableContinuousBuffer() + * @var String + * @access private + */ + var $decryptIV = "\0\0\0\0\0\0\0\0"; + + /** + * 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_AES::encrypt() + * @var String + * @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_AES::decrypt() + * @var String + * @access private + */ + var $demcrypt; + + /** + * Does the (en|de)mcrypt resource need to be (re)initialized? + * + * @see setKey() + * @see setIV() + * @var Boolean + * @access private + */ + var $changed = true; + + /** + * Default Constructor. + * + * Determines whether or not the mcrypt extension should be used. $mode should only, at present, be + * CRYPT_DES_MODE_ECB or CRYPT_DES_MODE_CBC. If not explictly set, CRYPT_DES_MODE_CBC will be used. + * + * @param optional Integer $mode + * @return Crypt_DES + * @access public + */ + function Crypt_DES($mode = CRYPT_MODE_DES_CBC) + { + if ( !defined('CRYPT_DES_MODE') ) { + switch (true) { + case extension_loaded('mcrypt'): + // i'd check to see if des was supported, by doing in_array('des', mcrypt_list_algorithms('')), + // but since that can be changed after the object has been created, there doesn't seem to be + // a lot of point... + define('CRYPT_DES_MODE', CRYPT_DES_MODE_MCRYPT); + break; + default: + define('CRYPT_DES_MODE', CRYPT_DES_MODE_INTERNAL); + } + } + + switch ( CRYPT_DES_MODE ) { + case CRYPT_DES_MODE_MCRYPT: + switch ($mode) { + case CRYPT_DES_MODE_ECB: + $this->mode = MCRYPT_MODE_ECB; + break; + case CRYPT_DES_MODE_CTR: + $this->mode = 'ctr'; + //$this->mode = in_array('ctr', mcrypt_list_modes()) ? 'ctr' : CRYPT_DES_MODE_CTR; + break; + case CRYPT_DES_MODE_CBC: + default: + $this->mode = MCRYPT_MODE_CBC; + } + + break; + default: + switch ($mode) { + case CRYPT_DES_MODE_ECB: + case CRYPT_DES_MODE_CTR: + case CRYPT_DES_MODE_CBC: + $this->mode = $mode; + break; + default: + $this->mode = CRYPT_DES_MODE_CBC; + } + } + } + + /** + * Sets the key. + * + * Keys can be of any length. DES, itself, uses 64-bit keys (eg. strlen($key) == 8), however, we + * only use the first eight, if $key has more then eight characters in it, and pad $key with the + * null byte if it is less then eight characters long. + * + * DES also requires that every eighth bit be a parity bit, however, we'll ignore that. + * + * If the key is not explicitly set, it'll be assumed to be all zero's. + * + * @access public + * @param String $key + */ + function setKey($key) + { + $this->keys = ( CRYPT_DES_MODE == CRYPT_DES_MODE_MCRYPT ) ? substr($key, 0, 8) : $this->_prepareKey($key); + $this->changed = true; + } + + /** + * Sets the initialization vector. (optional) + * + * SetIV is not required when CRYPT_DES_MODE_ECB is being used. If not explictly set, it'll be assumed + * to be all zero's. + * + * @access public + * @param String $iv + */ + function setIV($iv) + { + $this->encryptIV = $this->decryptIV = $this->iv = str_pad(substr($iv, 0, 8), 8, chr(0)); + $this->changed = true; + } + + /** + * 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_DES::decrypt() + * @see Crypt_DES::encrypt() + * @access public + * @param Integer $length + * @param String $iv + */ + function _generate_xor($length, &$iv) + { + $xor = ''; + $num_blocks = ($length + 7) >> 3; + for ($i = 0; $i < $num_blocks; $i++) { + $xor.= $iv; + for ($j = 4; $j <= 8; $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; + } + + /** + * Encrypts a message. + * + * $plaintext will be padded with up to 8 additional bytes. Other DES implementations may or may not pad in the + * same manner. Other common approaches to padding and the reasons why it's necessary are discussed in the following + * URL: + * + * {@link http://www.di-mgt.com.au/cryptopad.html http://www.di-mgt.com.au/cryptopad.html} + * + * An alternative to padding is to, separately, send the length of the file. This is what SSH, in fact, does. + * strlen($plaintext) will still need to be a multiple of 8, however, arbitrary values can be added to make it that + * length. + * + * @see Crypt_DES::decrypt() + * @access public + * @param String $plaintext + */ + function encrypt($plaintext) + { + if ($this->mode != CRYPT_DES_MODE_CTR && $this->mode != 'ctr') { + $plaintext = $this->_pad($plaintext); + } + + if ( CRYPT_DES_MODE == CRYPT_DES_MODE_MCRYPT ) { + if ($this->changed) { + if (!isset($this->enmcrypt)) { + $this->enmcrypt = mcrypt_module_open(MCRYPT_DES, '', $this->mode, ''); + } + mcrypt_generic_init($this->enmcrypt, $this->keys, $this->encryptIV); + $this->changed = false; + } + + $ciphertext = mcrypt_generic($this->enmcrypt, $plaintext); + + if (!$this->continuousBuffer) { + mcrypt_generic_init($this->enmcrypt, $this->keys, $this->encryptIV); + } + + return $ciphertext; + } + + if (!is_array($this->keys)) { + $this->keys = $this->_prepareKey("\0\0\0\0\0\0\0\0"); + } + + $ciphertext = ''; + switch ($this->mode) { + case CRYPT_DES_MODE_ECB: + for ($i = 0; $i < strlen($plaintext); $i+=8) { + $ciphertext.= $this->_processBlock(substr($plaintext, $i, 8), CRYPT_DES_ENCRYPT); + } + break; + case CRYPT_DES_MODE_CBC: + $xor = $this->encryptIV; + for ($i = 0; $i < strlen($plaintext); $i+=8) { + $block = substr($plaintext, $i, 8); + $block = $this->_processBlock($block ^ $xor, CRYPT_DES_ENCRYPT); + $xor = $block; + $ciphertext.= $block; + } + if ($this->continuousBuffer) { + $this->encryptIV = $xor; + } + break; + case CRYPT_DES_MODE_CTR: + $xor = $this->encryptIV; + for ($i = 0; $i < strlen($plaintext); $i+=8) { + $block = substr($plaintext, $i, 8); + $key = $this->_processBlock($this->_generate_xor(8, $xor), CRYPT_DES_ENCRYPT); + $ciphertext.= $block ^ $key; + } + if ($this->continuousBuffer) { + $this->encryptIV = $xor; + } + } + + return $ciphertext; + } + + /** + * Decrypts a message. + * + * If strlen($ciphertext) is not a multiple of 8, null bytes will be added to the end of the string until it is. + * + * @see Crypt_DES::encrypt() + * @access public + * @param String $ciphertext + */ + function decrypt($ciphertext) + { + if ($this->mode != CRYPT_DES_MODE_CTR && $this->mode != 'ctr') { + // we pad with chr(0) since that's what mcrypt_generic does. to quote from http://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($ciphertext) + 7) & 0xFFFFFFF8, chr(0)); + } + + if ( CRYPT_DES_MODE == CRYPT_DES_MODE_MCRYPT ) { + if ($this->changed) { + if (!isset($this->demcrypt)) { + $this->demcrypt = mcrypt_module_open(MCRYPT_DES, '', $this->mode, ''); + } + mcrypt_generic_init($this->demcrypt, $this->keys, $this->decryptIV); + $this->changed = false; + } + + $plaintext = mdecrypt_generic($this->demcrypt, $ciphertext); + + if (!$this->continuousBuffer) { + mcrypt_generic_init($this->demcrypt, $this->keys, $this->decryptIV); + } + + return $this->mode != 'ctr' ? $this->_unpad($plaintext) : $plaintext; + } + + if (!is_array($this->keys)) { + $this->keys = $this->_prepareKey("\0\0\0\0\0\0\0\0"); + } + + $plaintext = ''; + switch ($this->mode) { + case CRYPT_DES_MODE_ECB: + for ($i = 0; $i < strlen($ciphertext); $i+=8) { + $plaintext.= $this->_processBlock(substr($ciphertext, $i, 8), CRYPT_DES_DECRYPT); + } + break; + case CRYPT_DES_MODE_CBC: + $xor = $this->decryptIV; + for ($i = 0; $i < strlen($ciphertext); $i+=8) { + $block = substr($ciphertext, $i, 8); + $plaintext.= $this->_processBlock($block, CRYPT_DES_DECRYPT) ^ $xor; + $xor = $block; + } + if ($this->continuousBuffer) { + $this->decryptIV = $xor; + } + break; + case CRYPT_DES_MODE_CTR: + $xor = $this->decryptIV; + for ($i = 0; $i < strlen($ciphertext); $i+=8) { + $block = substr($ciphertext, $i, 8); + $key = $this->_processBlock($this->_generate_xor(8, $xor), CRYPT_DES_ENCRYPT); + $plaintext.= $block ^ $key; + } + if ($this->continuousBuffer) { + $this->decryptIV = $xor; + } + } + + return $this->mode != CRYPT_DES_MODE_CTR ? $this->_unpad($plaintext) : $plaintext; + } + + /** + * Treat consecutive "packets" as if they are a continuous buffer. + * + * Say you have a 16-byte plaintext $plaintext. Using the default behavior, the two following code snippets + * will yield different outputs: + * + * <code> + * echo $des->encrypt(substr($plaintext, 0, 8)); + * echo $des->encrypt(substr($plaintext, 8, 8)); + * </code> + * <code> + * echo $des->encrypt($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> + * $des->encrypt(substr($plaintext, 0, 8)); + * echo $des->decrypt($des->encrypt(substr($plaintext, 8, 8))); + * </code> + * <code> + * echo $des->decrypt($des->encrypt(substr($plaintext, 8, 8))); + * </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_DES() 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. + * + * @see Crypt_DES::disableContinuousBuffer() + * @access public + */ + function enableContinuousBuffer() + { + $this->continuousBuffer = true; + } + + /** + * Treat consecutive packets as if they are a discontinuous buffer. + * + * The default behavior. + * + * @see Crypt_DES::enableContinuousBuffer() + * @access public + */ + function disableContinuousBuffer() + { + $this->continuousBuffer = false; + $this->encryptIV = $this->iv; + $this->decryptIV = $this->iv; + } + + /** + * Pad "packets". + * + * DES works by encrypting eight bytes at a time. If you ever need to encrypt or decrypt something that's not + * a multiple of eight, it becomes necessary to pad the input so that it's length is a multiple of eight. + * + * Padding is enabled by default. Sometimes, however, it is undesirable to pad strings. Such is the case in SSH1, + * 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_DES::disablePadding() + * @access public + */ + function enablePadding() + { + $this->padding = true; + } + + /** + * Do not pad packets. + * + * @see Crypt_DES::enablePadding() + * @access public + */ + function disablePadding() + { + $this->padding = false; + } + + /** + * Pads a string + * + * Pads a string using the RSA PKCS padding standards so that its length is a multiple of the blocksize (8). + * 8 - (strlen($text) & 7) bytes are added, each of which is equal to chr(8 - (strlen($text) & 7) + * + * If padding is disabled and $text is not a multiple of the blocksize, the string will be padded regardless + * and padding will, hence forth, be enabled. + * + * @see Crypt_DES::_unpad() + * @access private + */ + function _pad($text) + { + $length = strlen($text); + + if (!$this->padding) { + if (($length & 7) == 0) { + return $text; + } else { + user_error("The plaintext's length ($length) is not a multiple of the block size (8)", E_USER_NOTICE); + $this->padding = true; + } + } + + $pad = 8 - ($length & 7); + 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_DES::_pad() + * @access private + */ + function _unpad($text) + { + if (!$this->padding) { + return $text; + } + + $length = ord($text[strlen($text) - 1]); + + if (!$length || $length > 8) { + return false; + } + + return substr($text, 0, -$length); + } + + /** + * Encrypts or decrypts a 64-bit block + * + * $mode should be either CRYPT_DES_ENCRYPT or CRYPT_DES_DECRYPT. See + * {@link http://en.wikipedia.org/wiki/Image:Feistel.png Feistel.png} to get a general + * idea of what this function does. + * + * @access private + * @param String $block + * @param Integer $mode + * @return String + */ + function _processBlock($block, $mode) + { + // s-boxes. in the official DES docs, they're described as being matrices that + // one accesses by using the first and last bits to determine the row and the + // middle four bits to determine the column. in this implementation, they've + // been converted to vectors + static $sbox = array( + array( + 14, 0, 4, 15, 13, 7, 1, 4, 2, 14, 15, 2, 11, 13, 8, 1, + 3, 10 ,10, 6, 6, 12, 12, 11, 5, 9, 9, 5, 0, 3, 7, 8, + 4, 15, 1, 12, 14, 8, 8, 2, 13, 4, 6, 9, 2, 1, 11, 7, + 15, 5, 12, 11, 9, 3, 7, 14, 3, 10, 10, 0, 5, 6, 0, 13 + ), + array( + 15, 3, 1, 13, 8, 4, 14, 7, 6, 15, 11, 2, 3, 8, 4, 14, + 9, 12, 7, 0, 2, 1, 13, 10, 12, 6, 0, 9, 5, 11, 10, 5, + 0, 13, 14, 8, 7, 10, 11, 1, 10, 3, 4, 15, 13, 4, 1, 2, + 5, 11, 8, 6, 12, 7, 6, 12, 9, 0, 3, 5, 2, 14, 15, 9 + ), + array( + 10, 13, 0, 7, 9, 0, 14, 9, 6, 3, 3, 4, 15, 6, 5, 10, + 1, 2, 13, 8, 12, 5, 7, 14, 11, 12, 4, 11, 2, 15, 8, 1, + 13, 1, 6, 10, 4, 13, 9, 0, 8, 6, 15, 9, 3, 8, 0, 7, + 11, 4, 1, 15, 2, 14, 12, 3, 5, 11, 10, 5, 14, 2, 7, 12 + ), + array( + 7, 13, 13, 8, 14, 11, 3, 5, 0, 6, 6, 15, 9, 0, 10, 3, + 1, 4, 2, 7, 8, 2, 5, 12, 11, 1, 12, 10, 4, 14, 15, 9, + 10, 3, 6, 15, 9, 0, 0, 6, 12, 10, 11, 1, 7, 13, 13, 8, + 15, 9, 1, 4, 3, 5, 14, 11, 5, 12, 2, 7, 8, 2, 4, 14 + ), + array( + 2, 14, 12, 11, 4, 2, 1, 12, 7, 4, 10, 7, 11, 13, 6, 1, + 8, 5, 5, 0, 3, 15, 15, 10, 13, 3, 0, 9, 14, 8, 9, 6, + 4, 11, 2, 8, 1, 12, 11, 7, 10, 1, 13, 14, 7, 2, 8, 13, + 15, 6, 9, 15, 12, 0, 5, 9, 6, 10, 3, 4, 0, 5, 14, 3 + ), + array( + 12, 10, 1, 15, 10, 4, 15, 2, 9, 7, 2, 12, 6, 9, 8, 5, + 0, 6, 13, 1, 3, 13, 4, 14, 14, 0, 7, 11, 5, 3, 11, 8, + 9, 4, 14, 3, 15, 2, 5, 12, 2, 9, 8, 5, 12, 15, 3, 10, + 7, 11, 0, 14, 4, 1, 10, 7, 1, 6, 13, 0, 11, 8, 6, 13 + ), + array( + 4, 13, 11, 0, 2, 11, 14, 7, 15, 4, 0, 9, 8, 1, 13, 10, + 3, 14, 12, 3, 9, 5, 7, 12, 5, 2, 10, 15, 6, 8, 1, 6, + 1, 6, 4, 11, 11, 13, 13, 8, 12, 1, 3, 4, 7, 10, 14, 7, + 10, 9, 15, 5, 6, 0, 8, 15, 0, 14, 5, 2, 9, 3, 2, 12 + ), + array( + 13, 1, 2, 15, 8, 13, 4, 8, 6, 10, 15, 3, 11, 7, 1, 4, + 10, 12, 9, 5, 3, 6, 14, 11, 5, 0, 0, 14, 12, 9, 7, 2, + 7, 2, 11, 1, 4, 14, 1, 7, 9, 4, 12, 10, 14, 8, 2, 13, + 0, 15, 6, 12, 10, 9, 13, 0, 15, 3, 3, 5, 5, 6, 8, 11 + ) + ); + + $keys = $this->keys; + + $temp = unpack('Na/Nb', $block); + $block = array($temp['a'], $temp['b']); + + // because php does arithmetic right shifts, if the most significant bits are set, right + // shifting those into the correct position will add 1's - not 0's. this will intefere + // with the | operation unless a second & is done. so we isolate these bits and left shift + // them into place. we then & each block with 0x7FFFFFFF to prevennt 1's from being added + // for any other shifts. + $msb = array( + ($block[0] >> 31) & 1, + ($block[1] >> 31) & 1 + ); + $block[0] &= 0x7FFFFFFF; + $block[1] &= 0x7FFFFFFF; + + // we isolate the appropriate bit in the appropriate integer and shift as appropriate. in + // some cases, there are going to be multiple bits in the same integer that need to be shifted + // in the same way. we combine those into one shift operation. + $block = array( + (($block[1] & 0x00000040) << 25) | (($block[1] & 0x00004000) << 16) | + (($block[1] & 0x00400001) << 7) | (($block[1] & 0x40000100) >> 2) | + (($block[0] & 0x00000040) << 21) | (($block[0] & 0x00004000) << 12) | + (($block[0] & 0x00400001) << 3) | (($block[0] & 0x40000100) >> 6) | + (($block[1] & 0x00000010) << 19) | (($block[1] & 0x00001000) << 10) | + (($block[1] & 0x00100000) << 1) | (($block[1] & 0x10000000) >> 8) | + (($block[0] & 0x00000010) << 15) | (($block[0] & 0x00001000) << 6) | + (($block[0] & 0x00100000) >> 3) | (($block[0] & 0x10000000) >> 12) | + (($block[1] & 0x00000004) << 13) | (($block[1] & 0x00000400) << 4) | + (($block[1] & 0x00040000) >> 5) | (($block[1] & 0x04000000) >> 14) | + (($block[0] & 0x00000004) << 9) | ( $block[0] & 0x00000400 ) | + (($block[0] & 0x00040000) >> 9) | (($block[0] & 0x04000000) >> 18) | + (($block[1] & 0x00010000) >> 11) | (($block[1] & 0x01000000) >> 20) | + (($block[0] & 0x00010000) >> 15) | (($block[0] & 0x01000000) >> 24) + , + (($block[1] & 0x00000080) << 24) | (($block[1] & 0x00008000) << 15) | + (($block[1] & 0x00800002) << 6) | (($block[0] & 0x00000080) << 20) | + (($block[0] & 0x00008000) << 11) | (($block[0] & 0x00800002) << 2) | + (($block[1] & 0x00000020) << 18) | (($block[1] & 0x00002000) << 9) | + ( $block[1] & 0x00200000 ) | (($block[1] & 0x20000000) >> 9) | + (($block[0] & 0x00000020) << 14) | (($block[0] & 0x00002000) << 5) | + (($block[0] & 0x00200000) >> 4) | (($block[0] & 0x20000000) >> 13) | + (($block[1] & 0x00000008) << 12) | (($block[1] & 0x00000800) << 3) | + (($block[1] & 0x00080000) >> 6) | (($block[1] & 0x08000000) >> 15) | + (($block[0] & 0x00000008) << 8) | (($block[0] & 0x00000800) >> 1) | + (($block[0] & 0x00080000) >> 10) | (($block[0] & 0x08000000) >> 19) | + (($block[1] & 0x00000200) >> 3) | (($block[0] & 0x00000200) >> 7) | + (($block[1] & 0x00020000) >> 12) | (($block[1] & 0x02000000) >> 21) | + (($block[0] & 0x00020000) >> 16) | (($block[0] & 0x02000000) >> 25) | + ($msb[1] << 28) | ($msb[0] << 24) + ); + + for ($i = 0; $i < 16; $i++) { + // start of "the Feistel (F) function" - see the following URL: + // http://en.wikipedia.org/wiki/Image:Data_Encryption_Standard_InfoBox_Diagram.png + $temp = (($sbox[0][((($block[1] >> 27) & 0x1F) | (($block[1] & 1) << 5)) ^ $keys[$mode][$i][0]]) << 28) + | (($sbox[1][(($block[1] & 0x1F800000) >> 23) ^ $keys[$mode][$i][1]]) << 24) + | (($sbox[2][(($block[1] & 0x01F80000) >> 19) ^ $keys[$mode][$i][2]]) << 20) + | (($sbox[3][(($block[1] & 0x001F8000) >> 15) ^ $keys[$mode][$i][3]]) << 16) + | (($sbox[4][(($block[1] & 0x0001F800) >> 11) ^ $keys[$mode][$i][4]]) << 12) + | (($sbox[5][(($block[1] & 0x00001F80) >> 7) ^ $keys[$mode][$i][5]]) << 8) + | (($sbox[6][(($block[1] & 0x000001F8) >> 3) ^ $keys[$mode][$i][6]]) << 4) + | ( $sbox[7][((($block[1] & 0x1F) << 1) | (($block[1] >> 31) & 1)) ^ $keys[$mode][$i][7]]); + + $msb = ($temp >> 31) & 1; + $temp &= 0x7FFFFFFF; + $newBlock = (($temp & 0x00010000) << 15) | (($temp & 0x02020120) << 5) + | (($temp & 0x00001800) << 17) | (($temp & 0x01000000) >> 10) + | (($temp & 0x00000008) << 24) | (($temp & 0x00100000) << 6) + | (($temp & 0x00000010) << 21) | (($temp & 0x00008000) << 9) + | (($temp & 0x00000200) << 12) | (($temp & 0x10000000) >> 27) + | (($temp & 0x00000040) << 14) | (($temp & 0x08000000) >> 8) + | (($temp & 0x00004000) << 4) | (($temp & 0x00000002) << 16) + | (($temp & 0x00442000) >> 6) | (($temp & 0x40800000) >> 15) + | (($temp & 0x00000001) << 11) | (($temp & 0x20000000) >> 20) + | (($temp & 0x00080000) >> 13) | (($temp & 0x00000004) << 3) + | (($temp & 0x04000000) >> 22) | (($temp & 0x00000480) >> 7) + | (($temp & 0x00200000) >> 19) | ($msb << 23); + // end of "the Feistel (F) function" - $newBlock is F's output + + $temp = $block[1]; + $block[1] = $block[0] ^ $newBlock; + $block[0] = $temp; + } + + $msb = array( + ($block[0] >> 31) & 1, + ($block[1] >> 31) & 1 + ); + $block[0] &= 0x7FFFFFFF; + $block[1] &= 0x7FFFFFFF; + + $block = array( + (($block[0] & 0x01000004) << 7) | (($block[1] & 0x01000004) << 6) | + (($block[0] & 0x00010000) << 13) | (($block[1] & 0x00010000) << 12) | + (($block[0] & 0x00000100) << 19) | (($block[1] & 0x00000100) << 18) | + (($block[0] & 0x00000001) << 25) | (($block[1] & 0x00000001) << 24) | + (($block[0] & 0x02000008) >> 2) | (($block[1] & 0x02000008) >> 3) | + (($block[0] & 0x00020000) << 4) | (($block[1] & 0x00020000) << 3) | + (($block[0] & 0x00000200) << 10) | (($block[1] & 0x00000200) << 9) | + (($block[0] & 0x00000002) << 16) | (($block[1] & 0x00000002) << 15) | + (($block[0] & 0x04000000) >> 11) | (($block[1] & 0x04000000) >> 12) | + (($block[0] & 0x00040000) >> 5) | (($block[1] & 0x00040000) >> 6) | + (($block[0] & 0x00000400) << 1) | ( $block[1] & 0x00000400 ) | + (($block[0] & 0x08000000) >> 20) | (($block[1] & 0x08000000) >> 21) | + (($block[0] & 0x00080000) >> 14) | (($block[1] & 0x00080000) >> 15) | + (($block[0] & 0x00000800) >> 8) | (($block[1] & 0x00000800) >> 9) + , + (($block[0] & 0x10000040) << 3) | (($block[1] & 0x10000040) << 2) | + (($block[0] & 0x00100000) << 9) | (($block[1] & 0x00100000) << 8) | + (($block[0] & 0x00001000) << 15) | (($block[1] & 0x00001000) << 14) | + (($block[0] & 0x00000010) << 21) | (($block[1] & 0x00000010) << 20) | + (($block[0] & 0x20000080) >> 6) | (($block[1] & 0x20000080) >> 7) | + ( $block[0] & 0x00200000 ) | (($block[1] & 0x00200000) >> 1) | + (($block[0] & 0x00002000) << 6) | (($block[1] & 0x00002000) << 5) | + (($block[0] & 0x00000020) << 12) | (($block[1] & 0x00000020) << 11) | + (($block[0] & 0x40000000) >> 15) | (($block[1] & 0x40000000) >> 16) | + (($block[0] & 0x00400000) >> 9) | (($block[1] & 0x00400000) >> 10) | + (($block[0] & 0x00004000) >> 3) | (($block[1] & 0x00004000) >> 4) | + (($block[0] & 0x00800000) >> 18) | (($block[1] & 0x00800000) >> 19) | + (($block[0] & 0x00008000) >> 12) | (($block[1] & 0x00008000) >> 13) | + ($msb[0] << 7) | ($msb[1] << 6) + ); + + return pack('NN', $block[0], $block[1]); + } + + /** + * Creates the key schedule. + * + * @access private + * @param String $key + * @return Array + */ + function _prepareKey($key) + { + static $shifts = array( // number of key bits shifted per round + 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1 + ); + + // pad the key and remove extra characters as appropriate. + $key = str_pad(substr($key, 0, 8), 8, chr(0)); + + $temp = unpack('Na/Nb', $key); + $key = array($temp['a'], $temp['b']); + $msb = array( + ($key[0] >> 31) & 1, + ($key[1] >> 31) & 1 + ); + $key[0] &= 0x7FFFFFFF; + $key[1] &= 0x7FFFFFFF; + + $key = array( + (($key[1] & 0x00000002) << 26) | (($key[1] & 0x00000204) << 17) | + (($key[1] & 0x00020408) << 8) | (($key[1] & 0x02040800) >> 1) | + (($key[0] & 0x00000002) << 22) | (($key[0] & 0x00000204) << 13) | + (($key[0] & 0x00020408) << 4) | (($key[0] & 0x02040800) >> 5) | + (($key[1] & 0x04080000) >> 10) | (($key[0] & 0x04080000) >> 14) | + (($key[1] & 0x08000000) >> 19) | (($key[0] & 0x08000000) >> 23) | + (($key[0] & 0x00000010) >> 1) | (($key[0] & 0x00001000) >> 10) | + (($key[0] & 0x00100000) >> 19) | (($key[0] & 0x10000000) >> 28) + , + (($key[1] & 0x00000080) << 20) | (($key[1] & 0x00008000) << 11) | + (($key[1] & 0x00800000) << 2) | (($key[0] & 0x00000080) << 16) | + (($key[0] & 0x00008000) << 7) | (($key[0] & 0x00800000) >> 2) | + (($key[1] & 0x00000040) << 13) | (($key[1] & 0x00004000) << 4) | + (($key[1] & 0x00400000) >> 5) | (($key[1] & 0x40000000) >> 14) | + (($key[0] & 0x00000040) << 9) | ( $key[0] & 0x00004000 ) | + (($key[0] & 0x00400000) >> 9) | (($key[0] & 0x40000000) >> 18) | + (($key[1] & 0x00000020) << 6) | (($key[1] & 0x00002000) >> 3) | + (($key[1] & 0x00200000) >> 12) | (($key[1] & 0x20000000) >> 21) | + (($key[0] & 0x00000020) << 2) | (($key[0] & 0x00002000) >> 7) | + (($key[0] & 0x00200000) >> 16) | (($key[0] & 0x20000000) >> 25) | + (($key[1] & 0x00000010) >> 1) | (($key[1] & 0x00001000) >> 10) | + (($key[1] & 0x00100000) >> 19) | (($key[1] & 0x10000000) >> 28) | + ($msb[1] << 24) | ($msb[0] << 20) + ); + + $keys = array(); + for ($i = 0; $i < 16; $i++) { + $key[0] <<= $shifts[$i]; + $temp = ($key[0] & 0xF0000000) >> 28; + $key[0] = ($key[0] | $temp) & 0x0FFFFFFF; + + $key[1] <<= $shifts[$i]; + $temp = ($key[1] & 0xF0000000) >> 28; + $key[1] = ($key[1] | $temp) & 0x0FFFFFFF; + + $temp = array( + (($key[1] & 0x00004000) >> 9) | (($key[1] & 0x00000800) >> 7) | + (($key[1] & 0x00020000) >> 14) | (($key[1] & 0x00000010) >> 2) | + (($key[1] & 0x08000000) >> 26) | (($key[1] & 0x00800000) >> 23) + , + (($key[1] & 0x02400000) >> 20) | (($key[1] & 0x00000001) << 4) | + (($key[1] & 0x00002000) >> 10) | (($key[1] & 0x00040000) >> 18) | + (($key[1] & 0x00000080) >> 6) + , + ( $key[1] & 0x00000020 ) | (($key[1] & 0x00000200) >> 5) | + (($key[1] & 0x00010000) >> 13) | (($key[1] & 0x01000000) >> 22) | + (($key[1] & 0x00000004) >> 1) | (($key[1] & 0x00100000) >> 20) + , + (($key[1] & 0x00001000) >> 7) | (($key[1] & 0x00200000) >> 17) | + (($key[1] & 0x00000002) << 2) | (($key[1] & 0x00000100) >> 6) | + (($key[1] & 0x00008000) >> 14) | (($key[1] & 0x04000000) >> 26) + , + (($key[0] & 0x00008000) >> 10) | ( $key[0] & 0x00000010 ) | + (($key[0] & 0x02000000) >> 22) | (($key[0] & 0x00080000) >> 17) | + (($key[0] & 0x00000200) >> 8) | (($key[0] & 0x00000002) >> 1) + , + (($key[0] & 0x04000000) >> 21) | (($key[0] & 0x00010000) >> 12) | + (($key[0] & 0x00000020) >> 2) | (($key[0] & 0x00000800) >> 9) | + (($key[0] & 0x00800000) >> 22) | (($key[0] & 0x00000100) >> 8) + , + (($key[0] & 0x00001000) >> 7) | (($key[0] & 0x00000088) >> 3) | + (($key[0] & 0x00020000) >> 14) | (($key[0] & 0x00000001) << 2) | + (($key[0] & 0x00400000) >> 21) + , + (($key[0] & 0x00000400) >> 5) | (($key[0] & 0x00004000) >> 10) | + (($key[0] & 0x00000040) >> 3) | (($key[0] & 0x00100000) >> 18) | + (($key[0] & 0x08000000) >> 26) | (($key[0] & 0x01000000) >> 24) + ); + + $keys[] = $temp; + } + + $temp = array( + CRYPT_DES_ENCRYPT => $keys, + CRYPT_DES_DECRYPT => array_reverse($keys) + ); + + return $temp; + } +} + +// vim: ts=4:sw=4:et: // vim6: fdl=1:
\ No newline at end of file diff --git a/plugins/OStatus/extlib/Crypt/Hash.php b/plugins/OStatus/extlib/Crypt/Hash.php index ef3a85802..e4dfde331 100644 --- a/plugins/OStatus/extlib/Crypt/Hash.php +++ b/plugins/OStatus/extlib/Crypt/Hash.php @@ -1,816 +1,816 @@ -<?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: This library is free software; you can redistribute it and/or
- * modify it under the terms of the GNU Lesser General Public
- * License as published by the Free Software Foundation; either
- * version 2.1 of the License, or (at your option) any later version.
- *
- * This library is distributed in the hope that it will be useful,
- * but WITHOUT ANY WARRANTY; without even the implied warranty of
- * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
- * Lesser General Public License for more details.
- *
- * You should have received a copy of the GNU Lesser General Public
- * License along with this library; if not, write to the Free Software
- * Foundation, Inc., 59 Temple Place, Suite 330, Boston,
- * MA 02111-1307 USA
- *
- * @category Crypt
- * @package Crypt_Hash
- * @author Jim Wigginton <terrafrost@php.net>
- * @copyright MMVII Jim Wigginton
- * @license http://www.gnu.org/licenses/lgpl.txt
- * @version $Id: Hash.php,v 1.6 2009/11/23 23:37:07 terrafrost Exp $
- * @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 = '';
-
- /**
- * 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 String $key
- */
- function setKey($key)
- {
- $this->key = $key;
- }
-
- /**
- * Sets the hash function.
- *
- * @access public
- * @param String $hash
- */
- function setHash($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_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 '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)) {
- 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 private
- * @return Integer
- */
- function getLength()
- {
- return $this->l;
- }
-
- /**
- * Wrapper for MD5
- *
- * @access private
- * @param String $text
- */
- function _md5($m)
- {
- return pack('H*', md5($m));
- }
-
- /**
- * Wrapper for SHA1
- *
- * @access private
- * @param String $text
- */
- function _sha1($m)
- {
- return pack('H*', sha1($m));
- }
-
- /**
- * Pure-PHP implementation of MD2
- *
- * See {@link http://tools.ietf.org/html/rfc1319 RFC1319}.
- *
- * @access private
- * @param String $text
- */
- function _md2($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++) {
- $c[$j] = chr($s[ord($m[$i + $j] ^ $l)]);
- $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 $text
- */
- function _sha256($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 $text
- */
- function _sha512($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 String $string
- * @param optional Integer $index
- * @return String
- * @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;
- }
+<?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: This library is free software; you can redistribute it and/or + * modify it under the terms of the GNU Lesser General Public + * License as published by the Free Software Foundation; either + * version 2.1 of the License, or (at your option) any later version. + * + * This library is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + * Lesser General Public License for more details. + * + * You should have received a copy of the GNU Lesser General Public + * License along with this library; if not, write to the Free Software + * Foundation, Inc., 59 Temple Place, Suite 330, Boston, + * MA 02111-1307 USA + * + * @category Crypt + * @package Crypt_Hash + * @author Jim Wigginton <terrafrost@php.net> + * @copyright MMVII Jim Wigginton + * @license http://www.gnu.org/licenses/lgpl.txt + * @version $Id: Hash.php,v 1.6 2009/11/23 23:37:07 terrafrost Exp $ + * @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 = ''; + + /** + * 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 String $key + */ + function setKey($key) + { + $this->key = $key; + } + + /** + * Sets the hash function. + * + * @access public + * @param String $hash + */ + function setHash($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_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 '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)) { + 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 private + * @return Integer + */ + function getLength() + { + return $this->l; + } + + /** + * Wrapper for MD5 + * + * @access private + * @param String $text + */ + function _md5($m) + { + return pack('H*', md5($m)); + } + + /** + * Wrapper for SHA1 + * + * @access private + * @param String $text + */ + function _sha1($m) + { + return pack('H*', sha1($m)); + } + + /** + * Pure-PHP implementation of MD2 + * + * See {@link http://tools.ietf.org/html/rfc1319 RFC1319}. + * + * @access private + * @param String $text + */ + function _md2($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++) { + $c[$j] = chr($s[ord($m[$i + $j] ^ $l)]); + $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 $text + */ + function _sha256($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 $text + */ + function _sha512($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 String $string + * @param optional Integer $index + * @return String + * @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; + } }
\ No newline at end of file diff --git a/plugins/OStatus/extlib/Crypt/RC4.php b/plugins/OStatus/extlib/Crypt/RC4.php index 6f82b2413..1e4d8b489 100644 --- a/plugins/OStatus/extlib/Crypt/RC4.php +++ b/plugins/OStatus/extlib/Crypt/RC4.php @@ -1,493 +1,493 @@ -<?php
-/* vim: set expandtab tabstop=4 shiftwidth=4 softtabstop=4: */
-
-/**
- * Pure-PHP implementation of RC4.
- *
- * Uses mcrypt, if available, and an internal implementation, otherwise.
- *
- * PHP versions 4 and 5
- *
- * Useful resources are as follows:
- *
- * - {@link http://www.mozilla.org/projects/security/pki/nss/draft-kaukonen-cipher-arcfour-03.txt ARCFOUR Algorithm}
- * - {@link http://en.wikipedia.org/wiki/RC4 - Wikipedia: RC4}
- *
- * RC4 is also known as ARCFOUR or ARC4. The reason is elaborated upon at Wikipedia. This class is named RC4 and not
- * ARCFOUR or ARC4 because RC4 is how it is refered to in the SSH1 specification.
- *
- * Here's a short example of how to use this library:
- * <code>
- * <?php
- * include('Crypt/RC4.php');
- *
- * $rc4 = new Crypt_RC4();
- *
- * $rc4->setKey('abcdefgh');
- *
- * $size = 10 * 1024;
- * $plaintext = '';
- * for ($i = 0; $i < $size; $i++) {
- * $plaintext.= 'a';
- * }
- *
- * echo $rc4->decrypt($rc4->encrypt($plaintext));
- * ?>
- * </code>
- *
- * LICENSE: This library is free software; you can redistribute it and/or
- * modify it under the terms of the GNU Lesser General Public
- * License as published by the Free Software Foundation; either
- * version 2.1 of the License, or (at your option) any later version.
- *
- * This library is distributed in the hope that it will be useful,
- * but WITHOUT ANY WARRANTY; without even the implied warranty of
- * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
- * Lesser General Public License for more details.
- *
- * You should have received a copy of the GNU Lesser General Public
- * License along with this library; if not, write to the Free Software
- * Foundation, Inc., 59 Temple Place, Suite 330, Boston,
- * MA 02111-1307 USA
- *
- * @category Crypt
- * @package Crypt_RC4
- * @author Jim Wigginton <terrafrost@php.net>
- * @copyright MMVII Jim Wigginton
- * @license http://www.gnu.org/licenses/lgpl.txt
- * @version $Id: RC4.php,v 1.8 2009/06/09 04:00:38 terrafrost Exp $
- * @link http://phpseclib.sourceforge.net
- */
-
-/**#@+
- * @access private
- * @see Crypt_RC4::Crypt_RC4()
- */
-/**
- * Toggles the internal implementation
- */
-define('CRYPT_RC4_MODE_INTERNAL', 1);
-/**
- * Toggles the mcrypt implementation
- */
-define('CRYPT_RC4_MODE_MCRYPT', 2);
-/**#@-*/
-
-/**#@+
- * @access private
- * @see Crypt_RC4::_crypt()
- */
-define('CRYPT_RC4_ENCRYPT', 0);
-define('CRYPT_RC4_DECRYPT', 1);
-/**#@-*/
-
-/**
- * Pure-PHP implementation of RC4.
- *
- * @author Jim Wigginton <terrafrost@php.net>
- * @version 0.1.0
- * @access public
- * @package Crypt_RC4
- */
-class Crypt_RC4 {
- /**
- * The Key
- *
- * @see Crypt_RC4::setKey()
- * @var String
- * @access private
- */
- var $key = "\0";
-
- /**
- * The Key Stream for encryption
- *
- * If CRYPT_RC4_MODE == CRYPT_RC4_MODE_MCRYPT, this will be equal to the mcrypt object
- *
- * @see Crypt_RC4::setKey()
- * @var Array
- * @access private
- */
- var $encryptStream = false;
-
- /**
- * The Key Stream for decryption
- *
- * If CRYPT_RC4_MODE == CRYPT_RC4_MODE_MCRYPT, this will be equal to the mcrypt object
- *
- * @see Crypt_RC4::setKey()
- * @var Array
- * @access private
- */
- var $decryptStream = false;
-
- /**
- * The $i and $j indexes for encryption
- *
- * @see Crypt_RC4::_crypt()
- * @var Integer
- * @access private
- */
- var $encryptIndex = 0;
-
- /**
- * The $i and $j indexes for decryption
- *
- * @see Crypt_RC4::_crypt()
- * @var Integer
- * @access private
- */
- var $decryptIndex = 0;
-
- /**
- * MCrypt parameters
- *
- * @see Crypt_RC4::setMCrypt()
- * @var Array
- * @access private
- */
- var $mcrypt = array('', '');
-
- /**
- * The Encryption Algorithm
- *
- * Only used if CRYPT_RC4_MODE == CRYPT_RC4_MODE_MCRYPT. Only possible values are MCRYPT_RC4 or MCRYPT_ARCFOUR.
- *
- * @see Crypt_RC4::Crypt_RC4()
- * @var Integer
- * @access private
- */
- var $mode;
-
- /**
- * Default Constructor.
- *
- * Determines whether or not the mcrypt extension should be used.
- *
- * @param optional Integer $mode
- * @return Crypt_RC4
- * @access public
- */
- function Crypt_RC4()
- {
- if ( !defined('CRYPT_RC4_MODE') ) {
- switch (true) {
- case extension_loaded('mcrypt') && (defined('MCRYPT_ARCFOUR') || defined('MCRYPT_RC4')):
- // i'd check to see if rc4 was supported, by doing in_array('arcfour', mcrypt_list_algorithms('')),
- // but since that can be changed after the object has been created, there doesn't seem to be
- // a lot of point...
- define('CRYPT_RC4_MODE', CRYPT_RC4_MODE_MCRYPT);
- break;
- default:
- define('CRYPT_RC4_MODE', CRYPT_RC4_MODE_INTERNAL);
- }
- }
-
- switch ( CRYPT_RC4_MODE ) {
- case CRYPT_RC4_MODE_MCRYPT:
- switch (true) {
- case defined('MCRYPT_ARCFOUR'):
- $this->mode = MCRYPT_ARCFOUR;
- break;
- case defined('MCRYPT_RC4');
- $this->mode = MCRYPT_RC4;
- }
- }
- }
-
- /**
- * Sets the key.
- *
- * Keys can be between 1 and 256 bytes long. If they are longer then 256 bytes, the first 256 bytes will
- * be used. If no key is explicitly set, it'll be assumed to be a single null byte.
- *
- * @access public
- * @param String $key
- */
- function setKey($key)
- {
- $this->key = $key;
-
- if ( CRYPT_RC4_MODE == CRYPT_RC4_MODE_MCRYPT ) {
- return;
- }
-
- $keyLength = strlen($key);
- $keyStream = array();
- for ($i = 0; $i < 256; $i++) {
- $keyStream[$i] = $i;
- }
- $j = 0;
- for ($i = 0; $i < 256; $i++) {
- $j = ($j + $keyStream[$i] + ord($key[$i % $keyLength])) & 255;
- $temp = $keyStream[$i];
- $keyStream[$i] = $keyStream[$j];
- $keyStream[$j] = $temp;
- }
-
- $this->encryptIndex = $this->decryptIndex = array(0, 0);
- $this->encryptStream = $this->decryptStream = $keyStream;
- }
-
- /**
- * Dummy function.
- *
- * Some protocols, such as WEP, prepend an "initialization vector" to the key, effectively creating a new key [1].
- * If you need to use an initialization vector in this manner, feel free to prepend it to the key, yourself, before
- * calling setKey().
- *
- * [1] WEP's initialization vectors (IV's) are used in a somewhat insecure way. Since, in that protocol,
- * the IV's are relatively easy to predict, an attack described by
- * {@link http://www.drizzle.com/~aboba/IEEE/rc4_ksaproc.pdf Scott Fluhrer, Itsik Mantin, and Adi Shamir}
- * can be used to quickly guess at the rest of the key. The following links elaborate:
- *
- * {@link http://www.rsa.com/rsalabs/node.asp?id=2009 http://www.rsa.com/rsalabs/node.asp?id=2009}
- * {@link http://en.wikipedia.org/wiki/Related_key_attack http://en.wikipedia.org/wiki/Related_key_attack}
- *
- * @param String $iv
- * @see Crypt_RC4::setKey()
- * @access public
- */
- function setIV($iv)
- {
- }
-
- /**
- * Sets MCrypt parameters. (optional)
- *
- * If MCrypt is being used, empty strings will be used, unless otherwise specified.
- *
- * @link http://php.net/function.mcrypt-module-open#function.mcrypt-module-open
- * @access public
- * @param optional Integer $algorithm_directory
- * @param optional Integer $mode_directory
- */
- function setMCrypt($algorithm_directory = '', $mode_directory = '')
- {
- if ( CRYPT_RC4_MODE == CRYPT_RC4_MODE_MCRYPT ) {
- $this->mcrypt = array($algorithm_directory, $mode_directory);
- $this->_closeMCrypt();
- }
- }
-
- /**
- * Encrypts a message.
- *
- * @see Crypt_RC4::_crypt()
- * @access public
- * @param String $plaintext
- */
- function encrypt($plaintext)
- {
- return $this->_crypt($plaintext, CRYPT_RC4_ENCRYPT);
- }
-
- /**
- * Decrypts a message.
- *
- * $this->decrypt($this->encrypt($plaintext)) == $this->encrypt($this->encrypt($plaintext)).
- * Atleast if the continuous buffer is disabled.
- *
- * @see Crypt_RC4::_crypt()
- * @access public
- * @param String $ciphertext
- */
- function decrypt($ciphertext)
- {
- return $this->_crypt($ciphertext, CRYPT_RC4_DECRYPT);
- }
-
- /**
- * Encrypts or decrypts a message.
- *
- * @see Crypt_RC4::encrypt()
- * @see Crypt_RC4::decrypt()
- * @access private
- * @param String $text
- * @param Integer $mode
- */
- function _crypt($text, $mode)
- {
- if ( CRYPT_RC4_MODE == CRYPT_RC4_MODE_MCRYPT ) {
- $keyStream = $mode == CRYPT_RC4_ENCRYPT ? 'encryptStream' : 'decryptStream';
-
- if ($this->$keyStream === false) {
- $this->$keyStream = mcrypt_module_open($this->mode, $this->mcrypt[0], MCRYPT_MODE_STREAM, $this->mcrypt[1]);
- mcrypt_generic_init($this->$keyStream, $this->key, '');
- } else if (!$this->continuousBuffer) {
- mcrypt_generic_init($this->$keyStream, $this->key, '');
- }
- $newText = mcrypt_generic($this->$keyStream, $text);
- if (!$this->continuousBuffer) {
- mcrypt_generic_deinit($this->$keyStream);
- }
-
- return $newText;
- }
-
- if ($this->encryptStream === false) {
- $this->setKey($this->key);
- }
-
- switch ($mode) {
- case CRYPT_RC4_ENCRYPT:
- $keyStream = $this->encryptStream;
- list($i, $j) = $this->encryptIndex;
- break;
- case CRYPT_RC4_DECRYPT:
- $keyStream = $this->decryptStream;
- list($i, $j) = $this->decryptIndex;
- }
-
- $newText = '';
- for ($k = 0; $k < strlen($text); $k++) {
- $i = ($i + 1) & 255;
- $j = ($j + $keyStream[$i]) & 255;
- $temp = $keyStream[$i];
- $keyStream[$i] = $keyStream[$j];
- $keyStream[$j] = $temp;
- $temp = $keyStream[($keyStream[$i] + $keyStream[$j]) & 255];
- $newText.= chr(ord($text[$k]) ^ $temp);
- }
-
- if ($this->continuousBuffer) {
- switch ($mode) {
- case CRYPT_RC4_ENCRYPT:
- $this->encryptStream = $keyStream;
- $this->encryptIndex = array($i, $j);
- break;
- case CRYPT_RC4_DECRYPT:
- $this->decryptStream = $keyStream;
- $this->decryptIndex = array($i, $j);
- }
- }
-
- return $newText;
- }
-
- /**
- * Treat consecutive "packets" as if they are a continuous buffer.
- *
- * Say you have a 16-byte plaintext $plaintext. Using the default behavior, the two following code snippets
- * will yield different outputs:
- *
- * <code>
- * echo $rc4->encrypt(substr($plaintext, 0, 8));
- * echo $rc4->encrypt(substr($plaintext, 8, 8));
- * </code>
- * <code>
- * echo $rc4->encrypt($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>
- * $rc4->encrypt(substr($plaintext, 0, 8));
- * echo $rc4->decrypt($des->encrypt(substr($plaintext, 8, 8)));
- * </code>
- * <code>
- * echo $rc4->decrypt($des->encrypt(substr($plaintext, 8, 8)));
- * </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_DES() 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.
- *
- * @see Crypt_RC4::disableContinuousBuffer()
- * @access public
- */
- function enableContinuousBuffer()
- {
- $this->continuousBuffer = true;
- }
-
- /**
- * Treat consecutive packets as if they are a discontinuous buffer.
- *
- * The default behavior.
- *
- * @see Crypt_RC4::enableContinuousBuffer()
- * @access public
- */
- function disableContinuousBuffer()
- {
- if ( CRYPT_RC4_MODE == CRYPT_RC4_MODE_INTERNAL ) {
- $this->encryptIndex = $this->decryptIndex = array(0, 0);
- $this->setKey($this->key);
- }
-
- $this->continuousBuffer = false;
- }
-
- /**
- * Dummy function.
- *
- * Since RC4 is a stream cipher and not a block cipher, no padding is necessary. The only reason this function is
- * included is so that you can switch between a block cipher and a stream cipher transparently.
- *
- * @see Crypt_RC4::disablePadding()
- * @access public
- */
- function enablePadding()
- {
- }
-
- /**
- * Dummy function.
- *
- * @see Crypt_RC4::enablePadding()
- * @access public
- */
- function disablePadding()
- {
- }
-
- /**
- * Class destructor.
- *
- * Will be called, automatically, if you're using PHP5. If you're using PHP4, call it yourself. Only really
- * needs to be called if mcrypt is being used.
- *
- * @access public
- */
- function __destruct()
- {
- if ( CRYPT_RC4_MODE == CRYPT_RC4_MODE_MCRYPT ) {
- $this->_closeMCrypt();
- }
- }
-
- /**
- * Properly close the MCrypt objects.
- *
- * @access prviate
- */
- function _closeMCrypt()
- {
- if ( $this->encryptStream !== false ) {
- if ( $this->continuousBuffer ) {
- mcrypt_generic_deinit($this->encryptStream);
- }
-
- mcrypt_module_close($this->encryptStream);
-
- $this->encryptStream = false;
- }
-
- if ( $this->decryptStream !== false ) {
- if ( $this->continuousBuffer ) {
- mcrypt_generic_deinit($this->decryptStream);
- }
-
- mcrypt_module_close($this->decryptStream);
-
- $this->decryptStream = false;
- }
- }
+<?php +/* vim: set expandtab tabstop=4 shiftwidth=4 softtabstop=4: */ + +/** + * Pure-PHP implementation of RC4. + * + * Uses mcrypt, if available, and an internal implementation, otherwise. + * + * PHP versions 4 and 5 + * + * Useful resources are as follows: + * + * - {@link http://www.mozilla.org/projects/security/pki/nss/draft-kaukonen-cipher-arcfour-03.txt ARCFOUR Algorithm} + * - {@link http://en.wikipedia.org/wiki/RC4 - Wikipedia: RC4} + * + * RC4 is also known as ARCFOUR or ARC4. The reason is elaborated upon at Wikipedia. This class is named RC4 and not + * ARCFOUR or ARC4 because RC4 is how it is refered to in the SSH1 specification. + * + * Here's a short example of how to use this library: + * <code> + * <?php + * include('Crypt/RC4.php'); + * + * $rc4 = new Crypt_RC4(); + * + * $rc4->setKey('abcdefgh'); + * + * $size = 10 * 1024; + * $plaintext = ''; + * for ($i = 0; $i < $size; $i++) { + * $plaintext.= 'a'; + * } + * + * echo $rc4->decrypt($rc4->encrypt($plaintext)); + * ?> + * </code> + * + * LICENSE: This library is free software; you can redistribute it and/or + * modify it under the terms of the GNU Lesser General Public + * License as published by the Free Software Foundation; either + * version 2.1 of the License, or (at your option) any later version. + * + * This library is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + * Lesser General Public License for more details. + * + * You should have received a copy of the GNU Lesser General Public + * License along with this library; if not, write to the Free Software + * Foundation, Inc., 59 Temple Place, Suite 330, Boston, + * MA 02111-1307 USA + * + * @category Crypt + * @package Crypt_RC4 + * @author Jim Wigginton <terrafrost@php.net> + * @copyright MMVII Jim Wigginton + * @license http://www.gnu.org/licenses/lgpl.txt + * @version $Id: RC4.php,v 1.8 2009/06/09 04:00:38 terrafrost Exp $ + * @link http://phpseclib.sourceforge.net + */ + +/**#@+ + * @access private + * @see Crypt_RC4::Crypt_RC4() + */ +/** + * Toggles the internal implementation + */ +define('CRYPT_RC4_MODE_INTERNAL', 1); +/** + * Toggles the mcrypt implementation + */ +define('CRYPT_RC4_MODE_MCRYPT', 2); +/**#@-*/ + +/**#@+ + * @access private + * @see Crypt_RC4::_crypt() + */ +define('CRYPT_RC4_ENCRYPT', 0); +define('CRYPT_RC4_DECRYPT', 1); +/**#@-*/ + +/** + * Pure-PHP implementation of RC4. + * + * @author Jim Wigginton <terrafrost@php.net> + * @version 0.1.0 + * @access public + * @package Crypt_RC4 + */ +class Crypt_RC4 { + /** + * The Key + * + * @see Crypt_RC4::setKey() + * @var String + * @access private + */ + var $key = "\0"; + + /** + * The Key Stream for encryption + * + * If CRYPT_RC4_MODE == CRYPT_RC4_MODE_MCRYPT, this will be equal to the mcrypt object + * + * @see Crypt_RC4::setKey() + * @var Array + * @access private + */ + var $encryptStream = false; + + /** + * The Key Stream for decryption + * + * If CRYPT_RC4_MODE == CRYPT_RC4_MODE_MCRYPT, this will be equal to the mcrypt object + * + * @see Crypt_RC4::setKey() + * @var Array + * @access private + */ + var $decryptStream = false; + + /** + * The $i and $j indexes for encryption + * + * @see Crypt_RC4::_crypt() + * @var Integer + * @access private + */ + var $encryptIndex = 0; + + /** + * The $i and $j indexes for decryption + * + * @see Crypt_RC4::_crypt() + * @var Integer + * @access private + */ + var $decryptIndex = 0; + + /** + * MCrypt parameters + * + * @see Crypt_RC4::setMCrypt() + * @var Array + * @access private + */ + var $mcrypt = array('', ''); + + /** + * The Encryption Algorithm + * + * Only used if CRYPT_RC4_MODE == CRYPT_RC4_MODE_MCRYPT. Only possible values are MCRYPT_RC4 or MCRYPT_ARCFOUR. + * + * @see Crypt_RC4::Crypt_RC4() + * @var Integer + * @access private + */ + var $mode; + + /** + * Default Constructor. + * + * Determines whether or not the mcrypt extension should be used. + * + * @param optional Integer $mode + * @return Crypt_RC4 + * @access public + */ + function Crypt_RC4() + { + if ( !defined('CRYPT_RC4_MODE') ) { + switch (true) { + case extension_loaded('mcrypt') && (defined('MCRYPT_ARCFOUR') || defined('MCRYPT_RC4')): + // i'd check to see if rc4 was supported, by doing in_array('arcfour', mcrypt_list_algorithms('')), + // but since that can be changed after the object has been created, there doesn't seem to be + // a lot of point... + define('CRYPT_RC4_MODE', CRYPT_RC4_MODE_MCRYPT); + break; + default: + define('CRYPT_RC4_MODE', CRYPT_RC4_MODE_INTERNAL); + } + } + + switch ( CRYPT_RC4_MODE ) { + case CRYPT_RC4_MODE_MCRYPT: + switch (true) { + case defined('MCRYPT_ARCFOUR'): + $this->mode = MCRYPT_ARCFOUR; + break; + case defined('MCRYPT_RC4'); + $this->mode = MCRYPT_RC4; + } + } + } + + /** + * Sets the key. + * + * Keys can be between 1 and 256 bytes long. If they are longer then 256 bytes, the first 256 bytes will + * be used. If no key is explicitly set, it'll be assumed to be a single null byte. + * + * @access public + * @param String $key + */ + function setKey($key) + { + $this->key = $key; + + if ( CRYPT_RC4_MODE == CRYPT_RC4_MODE_MCRYPT ) { + return; + } + + $keyLength = strlen($key); + $keyStream = array(); + for ($i = 0; $i < 256; $i++) { + $keyStream[$i] = $i; + } + $j = 0; + for ($i = 0; $i < 256; $i++) { + $j = ($j + $keyStream[$i] + ord($key[$i % $keyLength])) & 255; + $temp = $keyStream[$i]; + $keyStream[$i] = $keyStream[$j]; + $keyStream[$j] = $temp; + } + + $this->encryptIndex = $this->decryptIndex = array(0, 0); + $this->encryptStream = $this->decryptStream = $keyStream; + } + + /** + * Dummy function. + * + * Some protocols, such as WEP, prepend an "initialization vector" to the key, effectively creating a new key [1]. + * If you need to use an initialization vector in this manner, feel free to prepend it to the key, yourself, before + * calling setKey(). + * + * [1] WEP's initialization vectors (IV's) are used in a somewhat insecure way. Since, in that protocol, + * the IV's are relatively easy to predict, an attack described by + * {@link http://www.drizzle.com/~aboba/IEEE/rc4_ksaproc.pdf Scott Fluhrer, Itsik Mantin, and Adi Shamir} + * can be used to quickly guess at the rest of the key. The following links elaborate: + * + * {@link http://www.rsa.com/rsalabs/node.asp?id=2009 http://www.rsa.com/rsalabs/node.asp?id=2009} + * {@link http://en.wikipedia.org/wiki/Related_key_attack http://en.wikipedia.org/wiki/Related_key_attack} + * + * @param String $iv + * @see Crypt_RC4::setKey() + * @access public + */ + function setIV($iv) + { + } + + /** + * Sets MCrypt parameters. (optional) + * + * If MCrypt is being used, empty strings will be used, unless otherwise specified. + * + * @link http://php.net/function.mcrypt-module-open#function.mcrypt-module-open + * @access public + * @param optional Integer $algorithm_directory + * @param optional Integer $mode_directory + */ + function setMCrypt($algorithm_directory = '', $mode_directory = '') + { + if ( CRYPT_RC4_MODE == CRYPT_RC4_MODE_MCRYPT ) { + $this->mcrypt = array($algorithm_directory, $mode_directory); + $this->_closeMCrypt(); + } + } + + /** + * Encrypts a message. + * + * @see Crypt_RC4::_crypt() + * @access public + * @param String $plaintext + */ + function encrypt($plaintext) + { + return $this->_crypt($plaintext, CRYPT_RC4_ENCRYPT); + } + + /** + * Decrypts a message. + * + * $this->decrypt($this->encrypt($plaintext)) == $this->encrypt($this->encrypt($plaintext)). + * Atleast if the continuous buffer is disabled. + * + * @see Crypt_RC4::_crypt() + * @access public + * @param String $ciphertext + */ + function decrypt($ciphertext) + { + return $this->_crypt($ciphertext, CRYPT_RC4_DECRYPT); + } + + /** + * Encrypts or decrypts a message. + * + * @see Crypt_RC4::encrypt() + * @see Crypt_RC4::decrypt() + * @access private + * @param String $text + * @param Integer $mode + */ + function _crypt($text, $mode) + { + if ( CRYPT_RC4_MODE == CRYPT_RC4_MODE_MCRYPT ) { + $keyStream = $mode == CRYPT_RC4_ENCRYPT ? 'encryptStream' : 'decryptStream'; + + if ($this->$keyStream === false) { + $this->$keyStream = mcrypt_module_open($this->mode, $this->mcrypt[0], MCRYPT_MODE_STREAM, $this->mcrypt[1]); + mcrypt_generic_init($this->$keyStream, $this->key, ''); + } else if (!$this->continuousBuffer) { + mcrypt_generic_init($this->$keyStream, $this->key, ''); + } + $newText = mcrypt_generic($this->$keyStream, $text); + if (!$this->continuousBuffer) { + mcrypt_generic_deinit($this->$keyStream); + } + + return $newText; + } + + if ($this->encryptStream === false) { + $this->setKey($this->key); + } + + switch ($mode) { + case CRYPT_RC4_ENCRYPT: + $keyStream = $this->encryptStream; + list($i, $j) = $this->encryptIndex; + break; + case CRYPT_RC4_DECRYPT: + $keyStream = $this->decryptStream; + list($i, $j) = $this->decryptIndex; + } + + $newText = ''; + for ($k = 0; $k < strlen($text); $k++) { + $i = ($i + 1) & 255; + $j = ($j + $keyStream[$i]) & 255; + $temp = $keyStream[$i]; + $keyStream[$i] = $keyStream[$j]; + $keyStream[$j] = $temp; + $temp = $keyStream[($keyStream[$i] + $keyStream[$j]) & 255]; + $newText.= chr(ord($text[$k]) ^ $temp); + } + + if ($this->continuousBuffer) { + switch ($mode) { + case CRYPT_RC4_ENCRYPT: + $this->encryptStream = $keyStream; + $this->encryptIndex = array($i, $j); + break; + case CRYPT_RC4_DECRYPT: + $this->decryptStream = $keyStream; + $this->decryptIndex = array($i, $j); + } + } + + return $newText; + } + + /** + * Treat consecutive "packets" as if they are a continuous buffer. + * + * Say you have a 16-byte plaintext $plaintext. Using the default behavior, the two following code snippets + * will yield different outputs: + * + * <code> + * echo $rc4->encrypt(substr($plaintext, 0, 8)); + * echo $rc4->encrypt(substr($plaintext, 8, 8)); + * </code> + * <code> + * echo $rc4->encrypt($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> + * $rc4->encrypt(substr($plaintext, 0, 8)); + * echo $rc4->decrypt($des->encrypt(substr($plaintext, 8, 8))); + * </code> + * <code> + * echo $rc4->decrypt($des->encrypt(substr($plaintext, 8, 8))); + * </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_DES() 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. + * + * @see Crypt_RC4::disableContinuousBuffer() + * @access public + */ + function enableContinuousBuffer() + { + $this->continuousBuffer = true; + } + + /** + * Treat consecutive packets as if they are a discontinuous buffer. + * + * The default behavior. + * + * @see Crypt_RC4::enableContinuousBuffer() + * @access public + */ + function disableContinuousBuffer() + { + if ( CRYPT_RC4_MODE == CRYPT_RC4_MODE_INTERNAL ) { + $this->encryptIndex = $this->decryptIndex = array(0, 0); + $this->setKey($this->key); + } + + $this->continuousBuffer = false; + } + + /** + * Dummy function. + * + * Since RC4 is a stream cipher and not a block cipher, no padding is necessary. The only reason this function is + * included is so that you can switch between a block cipher and a stream cipher transparently. + * + * @see Crypt_RC4::disablePadding() + * @access public + */ + function enablePadding() + { + } + + /** + * Dummy function. + * + * @see Crypt_RC4::enablePadding() + * @access public + */ + function disablePadding() + { + } + + /** + * Class destructor. + * + * Will be called, automatically, if you're using PHP5. If you're using PHP4, call it yourself. Only really + * needs to be called if mcrypt is being used. + * + * @access public + */ + function __destruct() + { + if ( CRYPT_RC4_MODE == CRYPT_RC4_MODE_MCRYPT ) { + $this->_closeMCrypt(); + } + } + + /** + * Properly close the MCrypt objects. + * + * @access prviate + */ + function _closeMCrypt() + { + if ( $this->encryptStream !== false ) { + if ( $this->continuousBuffer ) { + mcrypt_generic_deinit($this->encryptStream); + } + + mcrypt_module_close($this->encryptStream); + + $this->encryptStream = false; + } + + if ( $this->decryptStream !== false ) { + if ( $this->continuousBuffer ) { + mcrypt_generic_deinit($this->decryptStream); + } + + mcrypt_module_close($this->decryptStream); + + $this->decryptStream = false; + } + } }
\ No newline at end of file diff --git a/plugins/OStatus/extlib/Crypt/RSA.php b/plugins/OStatus/extlib/Crypt/RSA.php index b9a4e23eb..f0a75962c 100644 --- a/plugins/OStatus/extlib/Crypt/RSA.php +++ b/plugins/OStatus/extlib/Crypt/RSA.php @@ -1,1929 +1,2108 @@ -<?php
-/* vim: set expandtab tabstop=4 shiftwidth=4 softtabstop=4: */
-
-/**
- * Pure-PHP PKCS#1 (v2.1) compliant implementation of RSA.
- *
- * PHP versions 4 and 5
- *
- * Here's an example of how to encrypt and decrypt text with this library:
- * <code>
- * <?php
- * include('Crypt/RSA.php');
- *
- * $rsa = new Crypt_RSA();
- * extract($rsa->createKey());
- *
- * $plaintext = 'terrafrost';
- *
- * $rsa->loadKey($privatekey);
- * $ciphertext = $rsa->encrypt($plaintext);
- *
- * $rsa->loadKey($publickey);
- * echo $rsa->decrypt($ciphertext);
- * ?>
- * </code>
- *
- * Here's an example of how to create signatures and verify signatures with this library:
- * <code>
- * <?php
- * include('Crypt/RSA.php');
- *
- * $rsa = new Crypt_RSA();
- * extract($rsa->createKey());
- *
- * $plaintext = 'terrafrost';
- *
- * $rsa->loadKey($privatekey);
- * $signature = $rsa->sign($plaintext);
- *
- * $rsa->loadKey($publickey);
- * echo $rsa->verify($plaintext, $signature) ? 'verified' : 'unverified';
- * ?>
- * </code>
- *
- * LICENSE: This library is free software; you can redistribute it and/or
- * modify it under the terms of the GNU Lesser General Public
- * License as published by the Free Software Foundation; either
- * version 2.1 of the License, or (at your option) any later version.
- *
- * This library is distributed in the hope that it will be useful,
- * but WITHOUT ANY WARRANTY; without even the implied warranty of
- * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
- * Lesser General Public License for more details.
- *
- * You should have received a copy of the GNU Lesser General Public
- * License along with this library; if not, write to the Free Software
- * Foundation, Inc., 59 Temple Place, Suite 330, Boston,
- * MA 02111-1307 USA
- *
- * @category Crypt
- * @package Crypt_RSA
- * @author Jim Wigginton <terrafrost@php.net>
- * @copyright MMIX Jim Wigginton
- * @license http://www.gnu.org/licenses/lgpl.txt
- * @version $Id: RSA.php,v 1.3 2009/12/04 21:05:32 terrafrost Exp $
- * @link http://phpseclib.sourceforge.net
- */
-
-/**
- * Include Math_BigInteger
- */
-require_once('Math/BigInteger.php');
-
-/**
- * Include Crypt_Random
- */
-require_once('Crypt/Random.php');
-
-/**
- * Include Crypt_Hash
- */
-require_once('Crypt/Hash.php');
-
-/**#@+
- * @access public
- * @see Crypt_RSA::encrypt()
- * @see Crypt_RSA::decrypt()
- */
-/**
- * Use {@link http://en.wikipedia.org/wiki/Optimal_Asymmetric_Encryption_Padding Optimal Asymmetric Encryption Padding}
- * (OAEP) for encryption / decryption.
- *
- * Uses sha1 by default.
- *
- * @see Crypt_RSA::setHash()
- * @see Crypt_RSA::setMGFHash()
- */
-define('CRYPT_RSA_ENCRYPTION_OAEP', 1);
-/**
- * Use PKCS#1 padding.
- *
- * Although CRYPT_RSA_ENCRYPTION_OAEP offers more security, including PKCS#1 padding is necessary for purposes of backwards
- * compatability with protocols (like SSH-1) written before OAEP's introduction.
- */
-define('CRYPT_RSA_ENCRYPTION_PKCS1', 2);
-/**#@-*/
-
-/**#@+
- * @access public
- * @see Crypt_RSA::sign()
- * @see Crypt_RSA::verify()
- * @see Crypt_RSA::setHash()
- */
-/**
- * Use the Probabilistic Signature Scheme for signing
- *
- * Uses sha1 by default.
- *
- * @see Crypt_RSA::setSaltLength()
- * @see Crypt_RSA::setMGFHash()
- */
-define('CRYPT_RSA_SIGNATURE_PSS', 1);
-/**
- * Use the PKCS#1 scheme by default.
- *
- * Although CRYPT_RSA_SIGNATURE_PSS offers more security, including PKCS#1 signing is necessary for purposes of backwards
- * compatability with protocols (like SSH-2) written before PSS's introduction.
- */
-define('CRYPT_RSA_SIGNATURE_PKCS1', 2);
-/**#@-*/
-
-/**#@+
- * @access private
- * @see Crypt_RSA::createKey()
- */
-/**
- * ASN1 Integer
- */
-define('CRYPT_RSA_ASN1_INTEGER', 2);
-/**
- * ASN1 Sequence (with the constucted bit set)
- */
-define('CRYPT_RSA_ASN1_SEQUENCE', 48);
-/**#@-*/
-
-/**#@+
- * @access private
- * @see Crypt_RSA::Crypt_RSA()
- */
-/**
- * To use the pure-PHP implementation
- */
-define('CRYPT_RSA_MODE_INTERNAL', 1);
-/**
- * To use the OpenSSL library
- *
- * (if enabled; otherwise, the internal implementation will be used)
- */
-define('CRYPT_RSA_MODE_OPENSSL', 2);
-/**#@-*/
-
-/**#@+
- * @access public
- * @see Crypt_RSA::createKey()
- * @see Crypt_RSA::setPrivateKeyFormat()
- */
-/**
- * PKCS#1 formatted private key
- *
- * Used by OpenSSH
- */
-define('CRYPT_RSA_PRIVATE_FORMAT_PKCS1', 0);
-/**#@-*/
-
-/**#@+
- * @access public
- * @see Crypt_RSA::createKey()
- * @see Crypt_RSA::setPublicKeyFormat()
- */
-/**
- * Raw public key
- *
- * An array containing two Math_BigInteger objects.
- *
- * The exponent can be indexed with any of the following:
- *
- * 0, e, exponent, publicExponent
- *
- * The modulus can be indexed with any of the following:
- *
- * 1, n, modulo, modulus
- */
-define('CRYPT_RSA_PUBLIC_FORMAT_RAW', 1);
-/**
- * PKCS#1 formatted public key
- */
-define('CRYPT_RSA_PUBLIC_FORMAT_PKCS1', 2);
-/**
- * OpenSSH formatted public key
- *
- * Place in $HOME/.ssh/authorized_keys
- */
-define('CRYPT_RSA_PUBLIC_FORMAT_OPENSSH', 3);
-/**#@-*/
-
-/**
- * Pure-PHP PKCS#1 compliant implementation of RSA.
- *
- * @author Jim Wigginton <terrafrost@php.net>
- * @version 0.1.0
- * @access public
- * @package Crypt_RSA
- */
-class Crypt_RSA {
- /**
- * Precomputed Zero
- *
- * @var Array
- * @access private
- */
- var $zero;
-
- /**
- * Precomputed One
- *
- * @var Array
- * @access private
- */
- var $one;
-
- /**
- * Private Key Format
- *
- * @var Integer
- * @access private
- */
- var $privateKeyFormat = CRYPT_RSA_PRIVATE_FORMAT_PKCS1;
-
- /**
- * Public Key Format
- *
- * @var Integer
- * @access public
- */
- var $publicKeyFormat = CRYPT_RSA_PUBLIC_FORMAT_PKCS1;
-
- /**
- * Modulus (ie. n)
- *
- * @var Math_BigInteger
- * @access private
- */
- var $modulus;
-
- /**
- * Modulus length
- *
- * @var Math_BigInteger
- * @access private
- */
- var $k;
-
- /**
- * Exponent (ie. e or d)
- *
- * @var Math_BigInteger
- * @access private
- */
- var $exponent;
-
- /**
- * Primes for Chinese Remainder Theorem (ie. p and q)
- *
- * @var Array
- * @access private
- */
- var $primes;
-
- /**
- * Exponents for Chinese Remainder Theorem (ie. dP and dQ)
- *
- * @var Array
- * @access private
- */
- var $exponents;
-
- /**
- * Coefficients for Chinese Remainder Theorem (ie. qInv)
- *
- * @var Array
- * @access private
- */
- var $coefficients;
-
- /**
- * Hash name
- *
- * @var String
- * @access private
- */
- var $hashName;
-
- /**
- * Hash function
- *
- * @var Crypt_Hash
- * @access private
- */
- var $hash;
-
- /**
- * Length of hash function output
- *
- * @var Integer
- * @access private
- */
- var $hLen;
-
- /**
- * Length of salt
- *
- * @var Integer
- * @access private
- */
- var $sLen;
-
- /**
- * Hash function for the Mask Generation Function
- *
- * @var Crypt_Hash
- * @access private
- */
- var $mgfHash;
-
- /**
- * Encryption mode
- *
- * @var Integer
- * @access private
- */
- var $encryptionMode = CRYPT_RSA_ENCRYPTION_OAEP;
-
- /**
- * Signature mode
- *
- * @var Integer
- * @access private
- */
- var $signatureMode = CRYPT_RSA_SIGNATURE_PSS;
-
- /**
- * Public Exponent
- *
- * @var Mixed
- * @access private
- */
- var $publicExponent = false;
-
- /**
- * Password
- *
- * @var String
- * @access private
- */
- var $password = '';
-
- /**
- * The constructor
- *
- * If you want to make use of the openssl extension, you'll need to set the mode manually, yourself. The reason
- * Crypt_RSA doesn't do it is because OpenSSL doesn't fail gracefully. openssl_pkey_new(), in particular, requires
- * openssl.cnf be present somewhere and, unfortunately, the only real way to find out is too late.
- *
- * @return Crypt_RSA
- * @access public
- */
- function Crypt_RSA()
- {
- if ( !defined('CRYPT_RSA_MODE') ) {
- switch (true) {
- //case extension_loaded('openssl') && version_compare(PHP_VERSION, '4.2.0', '>='):
- // define('CRYPT_RSA_MODE', CRYPT_RSA_MODE_OPENSSL);
- // break;
- default:
- define('CRYPT_RSA_MODE', CRYPT_RSA_MODE_INTERNAL);
- }
- }
-
- $this->zero = new Math_BigInteger();
- $this->one = new Math_BigInteger(1);
-
- $this->hash = new Crypt_Hash('sha1');
- $this->hLen = $this->hash->getLength();
- $this->hashName = 'sha1';
- $this->mgfHash = new Crypt_Hash('sha1');
- }
-
- /**
- * Create public / private key pair
- *
- * Returns an array with the following three elements:
- * - 'privatekey': The private key.
- * - 'publickey': The public key.
- * - 'partialkey': A partially computed key (if the execution time exceeded $timeout).
- * Will need to be passed back to Crypt_RSA::createKey() as the third parameter for further processing.
- *
- * @access public
- * @param optional Integer $bits
- * @param optional Integer $timeout
- * @param optional Math_BigInteger $p
- */
- function createKey($bits = 1024, $timeout = false, $primes = array())
- {
- if ( CRYPT_RSA_MODE == CRYPT_RSA_MODE_OPENSSL ) {
- $rsa = openssl_pkey_new(array('private_key_bits' => $bits));
- openssl_pkey_export($rsa, $privatekey);
- $publickey = openssl_pkey_get_details($rsa);
- $publickey = $publickey['key'];
-
- if ($this->privateKeyFormat != CRYPT_RSA_PRIVATE_FORMAT_PKCS1) {
- $privatekey = call_user_func_array(array($this, '_convertPrivateKey'), array_values($this->_parseKey($privatekey, CRYPT_RSA_PRIVATE_FORMAT_PKCS1)));
- $publickey = call_user_func_array(array($this, '_convertPublicKey'), array_values($this->_parseKey($publickey, CRYPT_RSA_PUBLIC_FORMAT_PKCS1)));
- }
-
- return array(
- 'privatekey' => $privatekey,
- 'publickey' => $publickey,
- 'partialkey' => false
- );
- }
-
- static $e;
- if (!isset($e)) {
- if (!defined('CRYPT_RSA_EXPONENT')) {
- // http://en.wikipedia.org/wiki/65537_%28number%29
- define('CRYPT_RSA_EXPONENT', '65537');
- }
- if (!defined('CRYPT_RSA_COMMENT')) {
- define('CRYPT_RSA_COMMENT', 'phpseclib-generated-key');
- }
- // per <http://cseweb.ucsd.edu/~hovav/dist/survey.pdf#page=5>, this number ought not result in primes smaller
- // than 256 bits.
- if (!defined('CRYPT_RSA_SMALLEST_PRIME')) {
- define('CRYPT_RSA_SMALLEST_PRIME', 4096);
- }
-
- $e = new Math_BigInteger(CRYPT_RSA_EXPONENT);
- }
-
- extract($this->_generateMinMax($bits));
- $absoluteMin = $min;
- $temp = $bits >> 1;
- if ($temp > CRYPT_RSA_SMALLEST_PRIME) {
- $num_primes = floor($bits / CRYPT_RSA_SMALLEST_PRIME);
- $temp = CRYPT_RSA_SMALLEST_PRIME;
- } else {
- $num_primes = 2;
- }
- extract($this->_generateMinMax($temp + $bits % $temp));
- $finalMax = $max;
- extract($this->_generateMinMax($temp));
-
- $exponents = $coefficients = array();
- $generator = new Math_BigInteger();
- $generator->setRandomGenerator('crypt_random');
-
- $n = $this->one->copy();
- $lcm = array(
- 'top' => $this->one->copy(),
- 'bottom' => false
- );
-
- $start = time();
- $i0 = count($primes) + 1;
-
- do {
- for ($i = $i0; $i <= $num_primes; $i++) {
- if ($timeout !== false) {
- $timeout-= time() - $start;
- $start = time();
- if ($timeout <= 0) {
- return array(
- 'privatekey' => '',
- 'publickey' => '',
- 'partialkey' => $primes
- );
- }
- }
- if ($i == $num_primes) {
- list($min, $temp) = $absoluteMin->divide($n);
- if (!$temp->equals($this->zero)) {
- $min = $min->add($this->one); // ie. ceil()
- }
- $primes[$i] = $generator->randomPrime($min, $finalMax, $timeout);
- } else {
- $primes[$i] = $generator->randomPrime($min, $max, $timeout);
- }
-
- if ($primes[$i] === false) { // if we've reached the timeout
- return array(
- 'privatekey' => '',
- 'publickey' => '',
- 'partialkey' => array_slice($primes, 0, $i - 1)
- );
- }
-
- // the first coefficient is calculated differently from the rest
- // ie. instead of being $primes[1]->modInverse($primes[2]), it's $primes[2]->modInverse($primes[1])
- if ($i > 2) {
- $coefficients[$i] = $n->modInverse($primes[$i]);
- }
-
- $n = $n->multiply($primes[$i]);
-
- $temp = $primes[$i]->subtract($this->one);
-
- // textbook RSA implementations use Euler's totient function instead of the least common multiple.
- // see http://en.wikipedia.org/wiki/Euler%27s_totient_function
- $lcm['top'] = $lcm['top']->multiply($temp);
- $lcm['bottom'] = $lcm['bottom'] === false ? $temp : $lcm['bottom']->gcd($temp);
-
- $exponents[$i] = $e->modInverse($temp);
- }
-
- list($lcm) = $lcm['top']->divide($lcm['bottom']);
- $gcd = $lcm->gcd($e);
- $i0 = 1;
- } while (!$gcd->equals($this->one));
-
- $d = $e->modInverse($lcm);
-
- $coefficients[2] = $primes[2]->modInverse($primes[1]);
-
- // from <http://tools.ietf.org/html/rfc3447#appendix-A.1.2>:
- // RSAPrivateKey ::= SEQUENCE {
- // version Version,
- // modulus INTEGER, -- n
- // publicExponent INTEGER, -- e
- // privateExponent INTEGER, -- d
- // prime1 INTEGER, -- p
- // prime2 INTEGER, -- q
- // exponent1 INTEGER, -- d mod (p-1)
- // exponent2 INTEGER, -- d mod (q-1)
- // coefficient INTEGER, -- (inverse of q) mod p
- // otherPrimeInfos OtherPrimeInfos OPTIONAL
- // }
-
- return array(
- 'privatekey' => $this->_convertPrivateKey($n, $e, $d, $primes, $exponents, $coefficients),
- 'publickey' => $this->_convertPublicKey($n, $e),
- 'partialkey' => false
- );
- }
-
- /**
- * Convert a private key to the appropriate format.
- *
- * @access private
- * @see setPrivateKeyFormat()
- * @param String $RSAPrivateKey
- * @return String
- */
- function _convertPrivateKey($n, $e, $d, $primes, $exponents, $coefficients)
- {
- $num_primes = count($primes);
-
- $raw = array(
- 'version' => $num_primes == 2 ? chr(0) : chr(1), // two-prime vs. multi
- 'modulus' => $n->toBytes(true),
- 'publicExponent' => $e->toBytes(true),
- 'privateExponent' => $d->toBytes(true),
- 'prime1' => $primes[1]->toBytes(true),
- 'prime2' => $primes[2]->toBytes(true),
- 'exponent1' => $exponents[1]->toBytes(true),
- 'exponent2' => $exponents[2]->toBytes(true),
- 'coefficient' => $coefficients[2]->toBytes(true)
- );
-
- // if the format in question does not support multi-prime rsa and multi-prime rsa was used,
- // call _convertPublicKey() instead.
- switch ($this->privateKeyFormat) {
- default: // eg. CRYPT_RSA_PRIVATE_FORMAT_PKCS1
- $components = array();
- foreach ($raw as $name => $value) {
- $components[$name] = pack('Ca*a*', CRYPT_RSA_ASN1_INTEGER, $this->_encodeLength(strlen($value)), $value);
- }
-
- $RSAPrivateKey = implode('', $components);
-
- if ($num_primes > 2) {
- $OtherPrimeInfos = '';
- for ($i = 3; $i <= $num_primes; $i++) {
- // OtherPrimeInfos ::= SEQUENCE SIZE(1..MAX) OF OtherPrimeInfo
- //
- // OtherPrimeInfo ::= SEQUENCE {
- // prime INTEGER, -- ri
- // exponent INTEGER, -- di
- // coefficient INTEGER -- ti
- // }
- $OtherPrimeInfo = pack('Ca*a*', CRYPT_RSA_ASN1_INTEGER, $this->_encodeLength(strlen($primes[$i]->toBytes(true))), $primes[$i]->toBytes(true));
- $OtherPrimeInfo.= pack('Ca*a*', CRYPT_RSA_ASN1_INTEGER, $this->_encodeLength(strlen($exponents[$i]->toBytes(true))), $exponents[$i]->toBytes(true));
- $OtherPrimeInfo.= pack('Ca*a*', CRYPT_RSA_ASN1_INTEGER, $this->_encodeLength(strlen($coefficients[$i]->toBytes(true))), $coefficients[$i]->toBytes(true));
- $OtherPrimeInfos.= pack('Ca*a*', CRYPT_RSA_ASN1_SEQUENCE, $this->_encodeLength(strlen($OtherPrimeInfo)), $OtherPrimeInfo);
- }
- $RSAPrivateKey.= pack('Ca*a*', CRYPT_RSA_ASN1_SEQUENCE, $this->_encodeLength(strlen($OtherPrimeInfos)), $OtherPrimeInfos);
- }
-
- $RSAPrivateKey = pack('Ca*a*', CRYPT_RSA_ASN1_SEQUENCE, $this->_encodeLength(strlen($RSAPrivateKey)), $RSAPrivateKey);
-
- if (!empty($this->password)) {
- $iv = $this->_random(8);
- $symkey = pack('H*', md5($this->password . $iv)); // symkey is short for symmetric key
- $symkey.= substr(pack('H*', md5($symkey . $this->password . $iv)), 0, 8);
- if (!class_exists('Crypt_TripleDES')) {
- require_once('Crypt/TripleDES.php');
- }
- $des = new Crypt_TripleDES();
- $des->setKey($symkey);
- $des->setIV($iv);
- $iv = strtoupper(bin2hex($iv));
- $RSAPrivateKey = "-----BEGIN RSA PRIVATE KEY-----\r\n" .
- "Proc-Type: 4,ENCRYPTED\r\n" .
- "DEK-Info: DES-EDE3-CBC,$iv\r\n" .
- "\r\n" .
- chunk_split(base64_encode($des->encrypt($RSAPrivateKey))) .
- '-----END RSA PRIVATE KEY-----';
- } else {
- $RSAPrivateKey = "-----BEGIN RSA PRIVATE KEY-----\r\n" .
- chunk_split(base64_encode($RSAPrivateKey)) .
- '-----END RSA PRIVATE KEY-----';
- }
-
- return $RSAPrivateKey;
- }
- }
-
- /**
- * Convert a public key to the appropriate format
- *
- * @access private
- * @see setPublicKeyFormat()
- * @param String $RSAPrivateKey
- * @return String
- */
- function _convertPublicKey($n, $e)
- {
- $modulus = $n->toBytes(true);
- $publicExponent = $e->toBytes(true);
-
- switch ($this->publicKeyFormat) {
- case CRYPT_RSA_PUBLIC_FORMAT_RAW:
- return array('e' => $e->copy(), 'n' => $n->copy());
- case CRYPT_RSA_PUBLIC_FORMAT_OPENSSH:
- // from <http://tools.ietf.org/html/rfc4253#page-15>:
- // string "ssh-rsa"
- // mpint e
- // mpint n
- $RSAPublicKey = pack('Na*Na*Na*', strlen('ssh-rsa'), 'ssh-rsa', strlen($publicExponent), $publicExponent, strlen($modulus), $modulus);
- $RSAPublicKey = 'ssh-rsa ' . base64_encode($RSAPublicKey) . ' ' . CRYPT_RSA_COMMENT;
-
- return $RSAPublicKey;
- default: // eg. CRYPT_RSA_PUBLIC_FORMAT_PKCS1
- // from <http://tools.ietf.org/html/rfc3447#appendix-A.1.1>:
- // RSAPublicKey ::= SEQUENCE {
- // modulus INTEGER, -- n
- // publicExponent INTEGER -- e
- // }
- $components = array(
- 'modulus' => pack('Ca*a*', CRYPT_RSA_ASN1_INTEGER, $this->_encodeLength(strlen($modulus)), $modulus),
- 'publicExponent' => pack('Ca*a*', CRYPT_RSA_ASN1_INTEGER, $this->_encodeLength(strlen($publicExponent)), $publicExponent)
- );
-
- $RSAPublicKey = pack('Ca*a*a*',
- CRYPT_RSA_ASN1_SEQUENCE, $this->_encodeLength(strlen($components['modulus']) + strlen($components['publicExponent'])),
- $components['modulus'], $components['publicExponent']
- );
-
- $RSAPublicKey = "-----BEGIN PUBLIC KEY-----\r\n" .
- chunk_split(base64_encode($RSAPublicKey)) .
- '-----END PUBLIC KEY-----';
-
- return $RSAPublicKey;
- }
- }
-
- /**
- * Break a public or private key down into its constituant components
- *
- * @access private
- * @see _convertPublicKey()
- * @see _convertPrivateKey()
- * @param String $key
- * @param Integer $type
- * @return Array
- */
- function _parseKey($key, $type)
- {
- switch ($type) {
- case CRYPT_RSA_PUBLIC_FORMAT_RAW:
- if (!is_array($key)) {
- return false;
- }
- $components = array();
- switch (true) {
- case isset($key['e']):
- $components['publicExponent'] = $key['e']->copy();
- break;
- case isset($key['exponent']):
- $components['publicExponent'] = $key['exponent']->copy();
- break;
- case isset($key['publicExponent']):
- $components['publicExponent'] = $key['publicExponent']->copy();
- break;
- case isset($key[0]):
- $components['publicExponent'] = $key[0]->copy();
- }
- switch (true) {
- case isset($key['n']):
- $components['modulus'] = $key['n']->copy();
- break;
- case isset($key['modulo']):
- $components['modulus'] = $key['modulo']->copy();
- break;
- case isset($key['modulus']):
- $components['modulus'] = $key['modulus']->copy();
- break;
- case isset($key[1]):
- $components['modulus'] = $key[1]->copy();
- }
- return $components;
- case CRYPT_RSA_PRIVATE_FORMAT_PKCS1:
- case CRYPT_RSA_PUBLIC_FORMAT_PKCS1:
- /* Although PKCS#1 proposes a format that public and private keys can use, encrypting them is
- "outside the scope" of PKCS#1. PKCS#1 then refers you to PKCS#12 and PKCS#15 if you're wanting to
- protect private keys, however, that's not what OpenSSL* does. OpenSSL protects private keys by adding
- two new "fields" to the key - DEK-Info and Proc-Type. These fields are discussed here:
-
- http://tools.ietf.org/html/rfc1421#section-4.6.1.1
- http://tools.ietf.org/html/rfc1421#section-4.6.1.3
-
- DES-EDE3-CBC as an algorithm, however, is not discussed anywhere, near as I can tell.
- DES-CBC and DES-EDE are discussed in RFC1423, however, DES-EDE3-CBC isn't, nor is its key derivation
- function. As is, the definitive authority on this encoding scheme isn't the IETF but rather OpenSSL's
- own implementation. ie. the implementation *is* the standard and any bugs that may exist in that
- implementation are part of the standard, as well.
-
- * OpenSSL is the de facto standard. It's utilized by OpenSSH and other projects */
- if (preg_match('#DEK-Info: DES-EDE3-CBC,(.+)#', $key, $matches)) {
- $iv = pack('H*', trim($matches[1]));
- $symkey = pack('H*', md5($this->password . $iv)); // symkey is short for symmetric key
- $symkey.= substr(pack('H*', md5($symkey . $this->password . $iv)), 0, 8);
- $ciphertext = base64_decode(preg_replace('#.+(\r|\n|\r\n)\1|[\r\n]|-.+-#s', '', $key));
- if ($ciphertext === false) {
- return false;
- }
- if (!class_exists('Crypt_TripleDES')) {
- require_once('Crypt/TripleDES.php');
- }
- $des = new Crypt_TripleDES();
- $des->setKey($symkey);
- $des->setIV($iv);
- $key = $des->decrypt($ciphertext);
- } else {
- $key = base64_decode(preg_replace('#-.+-|[\r\n]#', '', $key));
- if ($key === false) {
- return false;
- }
- }
-
- $private = false;
- $components = array();
-
- $this->_string_shift($key); // skip over CRYPT_RSA_ASN1_SEQUENCE
- $this->_decodeLength($key); // skip over the length of the above sequence
- $this->_string_shift($key); // skip over CRYPT_RSA_ASN1_INTEGER
- $length = $this->_decodeLength($key);
- $temp = $this->_string_shift($key, $length);
- if (strlen($temp) != 1 || ord($temp) > 2) {
- $components['modulus'] = new Math_BigInteger($temp, -256);
- $this->_string_shift($key); // skip over CRYPT_RSA_ASN1_INTEGER
- $length = $this->_decodeLength($key);
- $components[$type == CRYPT_RSA_PUBLIC_FORMAT_PKCS1 ? 'publicExponent' : 'privateExponent'] = new Math_BigInteger($this->_string_shift($key, $length), -256);
-
- return $components;
- }
- $this->_string_shift($key); // skip over CRYPT_RSA_ASN1_INTEGER
- $length = $this->_decodeLength($key);
- $components['modulus'] = new Math_BigInteger($this->_string_shift($key, $length), -256);
- $this->_string_shift($key);
- $length = $this->_decodeLength($key);
- $components['publicExponent'] = new Math_BigInteger($this->_string_shift($key, $length), -256);
- $this->_string_shift($key);
- $length = $this->_decodeLength($key);
- $components['privateExponent'] = new Math_BigInteger($this->_string_shift($key, $length), -256);
- $this->_string_shift($key);
- $length = $this->_decodeLength($key);
- $components['primes'] = array(1 => new Math_BigInteger($this->_string_shift($key, $length), -256));
- $this->_string_shift($key);
- $length = $this->_decodeLength($key);
- $components['primes'][] = new Math_BigInteger($this->_string_shift($key, $length), -256);
- $this->_string_shift($key);
- $length = $this->_decodeLength($key);
- $components['exponents'] = array(1 => new Math_BigInteger($this->_string_shift($key, $length), -256));
- $this->_string_shift($key);
- $length = $this->_decodeLength($key);
- $components['exponents'][] = new Math_BigInteger($this->_string_shift($key, $length), -256);
- $this->_string_shift($key);
- $length = $this->_decodeLength($key);
- $components['coefficients'] = array(2 => new Math_BigInteger($this->_string_shift($key, $length), -256));
- if (!empty($key)) {
- $key = substr($key, 1); // skip over CRYPT_RSA_ASN1_SEQUENCE
- $this->_decodeLength($key);
- while (!empty($key)) {
- $key = substr($key, 1); // skip over CRYPT_RSA_ASN1_SEQUENCE
- $this->_decodeLength($key);
- $key = substr($key, 1);
- $length = $this->_decodeLength($key);
- $components['primes'][] = new Math_BigInteger($this->_string_shift($key, $length), -256);
- $this->_string_shift($key);
- $length = $this->_decodeLength($key);
- $components['exponents'][] = new Math_BigInteger($this->_string_shift($key, $length), -256);
- $this->_string_shift($key);
- $length = $this->_decodeLength($key);
- $components['coefficients'][] = new Math_BigInteger($this->_string_shift($key, $length), -256);
- }
- }
-
- return $components;
- case CRYPT_RSA_PUBLIC_FORMAT_OPENSSH:
- $key = base64_decode(preg_replace('#^ssh-rsa | .+$#', '', $key));
- if ($key === false) {
- return false;
- }
-
- $components = array();
- extract(unpack('Nlength', $this->_string_shift($key, 4)));
- $components['modulus'] = new Math_BigInteger($this->_string_shift($key, $length), -256);
- extract(unpack('Nlength', $this->_string_shift($key, 4)));
- $components['publicExponent'] = new Math_BigInteger($this->_string_shift($key, $length), -256);
-
- return $components;
- }
- }
-
- /**
- * Loads a public or private key
- *
- * @access public
- * @param String $key
- * @param Integer $type optional
- */
- function loadKey($key, $type = CRYPT_RSA_PRIVATE_FORMAT_PKCS1)
- {
- $components = $this->_parseKey($key, $type);
- $this->modulus = $components['modulus'];
- $this->k = strlen($this->modulus->toBytes());
- $this->exponent = isset($components['privateExponent']) ? $components['privateExponent'] : $components['publicExponent'];
- if (isset($components['primes'])) {
- $this->primes = $components['primes'];
- $this->exponents = $components['exponents'];
- $this->coefficients = $components['coefficients'];
- $this->publicExponent = $components['publicExponent'];
- } else {
- $this->primes = array();
- $this->exponents = array();
- $this->coefficients = array();
- $this->publicExponent = false;
- }
- }
-
- /**
- * Sets the password
- *
- * Private keys can be encrypted with a password. To unset the password, pass in the empty string or false.
- * Or rather, pass in $password such that empty($password) is true.
- *
- * @see createKey()
- * @see loadKey()
- * @access public
- * @param String $password
- */
- function setPassword($password)
- {
- $this->password = $password;
- }
-
- /**
- * Defines the public key
- *
- * Some private key formats define the public exponent and some don't. Those that don't define it are problematic when
- * used in certain contexts. For example, in SSH-2, RSA authentication works by sending the public key along with a
- * message signed by the private key to the server. The SSH-2 server looks the public key up in an index of public keys
- * and if it's present then proceeds to verify the signature. Problem is, if your private key doesn't include the public
- * exponent this won't work unless you manually add the public exponent.
- *
- * Do note that when a new key is loaded the index will be cleared.
- *
- * Returns true on success, false on failure
- *
- * @see getPublicKey()
- * @access public
- * @param String $key
- * @param Integer $type optional
- * @return Boolean
- */
- function setPublicKey($key, $type = CRYPT_RSA_PUBLIC_FORMAT_PKCS1)
- {
- $components = $this->_parseKey($key, $type);
- if (!$this->modulus->equals($components['modulus'])) {
- return false;
- }
- $this->publicExponent = $components['publicExponent'];
- }
-
- /**
- * Returns the public key
- *
- * The public key is only returned under two circumstances - if the private key had the public key embedded within it
- * or if the public key was set via setPublicKey(). If the currently loaded key is supposed to be the public key this
- * function won't return it since this library, for the most part, doesn't distinguish between public and private keys.
- *
- * @see getPublicKey()
- * @access public
- * @param String $key
- * @param Integer $type optional
- */
- function getPublicKey($type = CRYPT_RSA_PUBLIC_FORMAT_PKCS1)
- {
- $oldFormat = $this->publicKeyFormat;
- $this->publicKeyFormat = $type;
- $temp = $this->_convertPublicKey($this->modulus, $this->publicExponent);
- $this->publicKeyFormat = $oldFormat;
- return $temp;
- }
-
- /**
- * Generates the smallest and largest numbers requiring $bits bits
- *
- * @access private
- * @param Integer $bits
- * @return Array
- */
- function _generateMinMax($bits)
- {
- $bytes = $bits >> 3;
- $min = str_repeat(chr(0), $bytes);
- $max = str_repeat(chr(0xFF), $bytes);
- $msb = $num_bits & 7;
- if ($msb) {
- $min = chr(1 << ($msb - 1)) . $min;
- $max = chr((1 << $msb) - 1) . $max;
- } else {
- $min[0] = chr(0x80);
- }
-
- return array(
- 'min' => new Math_BigInteger($min, 256),
- 'max' => new Math_BigInteger($max, 256)
- );
- }
-
- /**
- * DER-decode the length
- *
- * DER supports lengths up to (2**8)**127, however, we'll only support lengths up to (2**8)**4. See
- * {@link http://itu.int/ITU-T/studygroups/com17/languages/X.690-0207.pdf#p=13 X.690 § 8.1.3} for more information.
- *
- * @access private
- * @param String $string
- * @return Integer
- */
- function _decodeLength(&$string)
- {
- $length = ord($this->_string_shift($string));
- if ( $length & 0x80 ) { // definite length, long form
- $length&= 0x7F;
- $temp = $this->_string_shift($string, $length);
- $start+= $length;
- list(, $length) = unpack('N', substr(str_pad($temp, 4, chr(0), STR_PAD_LEFT), -4));
- }
- return $length;
- }
-
- /**
- * DER-encode the length
- *
- * DER supports lengths up to (2**8)**127, however, we'll only support lengths up to (2**8)**4. See
- * {@link http://itu.int/ITU-T/studygroups/com17/languages/X.690-0207.pdf#p=13 X.690 § 8.1.3} for more information.
- *
- * @access private
- * @param Integer $length
- * @return String
- */
- function _encodeLength($length)
- {
- if ($length <= 0x7F) {
- return chr($length);
- }
-
- $temp = ltrim(pack('N', $length), chr(0));
- return pack('Ca*', 0x80 | strlen($temp), $temp);
- }
-
- /**
- * 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;
- }
-
- /**
- * Determines the private key format
- *
- * @see createKey()
- * @access public
- * @param Integer $format
- */
- function setPrivateKeyFormat($format)
- {
- $this->privateKeyFormat = $format;
- }
-
- /**
- * Determines the public key format
- *
- * @see createKey()
- * @access public
- * @param Integer $format
- */
- function setPublicKeyFormat($format)
- {
- $this->publicKeyFormat = $format;
- }
-
- /**
- * Determines which hashing function should be used
- *
- * Used with signature production / verification and (if the encryption mode is CRYPT_RSA_ENCRYPTION_OAEP) encryption and
- * decryption. If $hash isn't supported, sha1 is used.
- *
- * @access public
- * @param String $hash
- */
- function setHash($hash)
- {
- // Crypt_Hash supports algorithms that PKCS#1 doesn't support. md5-96 and sha1-96, for example.
- switch ($hash) {
- case 'md2':
- case 'md5':
- case 'sha1':
- case 'sha256':
- case 'sha384':
- case 'sha512':
- $this->hash = new Crypt_Hash($hash);
- $this->hLen = $this->hash->getLength();
- $this->hashName = $hash;
- break;
- default:
- $this->hash = new Crypt_Hash('sha1');
- $this->hLen = $this->hash->getLength();
- $this->hashName = 'sha1';
- }
- }
-
- /**
- * Determines which hashing function should be used for the mask generation function
- *
- * The mask generation function is used by CRYPT_RSA_ENCRYPTION_OAEP and CRYPT_RSA_SIGNATURE_PSS and although it's
- * best if Hash and MGFHash are set to the same thing this is not a requirement.
- *
- * @access public
- * @param String $hash
- */
- function setMGFHash($hash)
- {
- // Crypt_Hash supports algorithms that PKCS#1 doesn't support. md5-96 and sha1-96, for example.
- switch ($hash) {
- case 'md2':
- case 'md5':
- case 'sha1':
- case 'sha256':
- case 'sha384':
- case 'sha512':
- $this->mgfHash = new Crypt_Hash($hash);
- break;
- default:
- $this->mgfHash = new Crypt_Hash('sha1');
- }
- }
-
- /**
- * Determines the salt length
- *
- * To quote from {@link http://tools.ietf.org/html/rfc3447#page-38 RFC3447#page-38}:
- *
- * Typical salt lengths in octets are hLen (the length of the output
- * of the hash function Hash) and 0.
- *
- * @access public
- * @param Integer $format
- */
- function setSaltLength($sLen)
- {
- $this->sLen = $sLen;
- }
-
- /**
- * Generates a random string x bytes long
- *
- * @access public
- * @param Integer $bytes
- * @param optional Integer $nonzero
- * @return String
- */
- function _random($bytes, $nonzero = false)
- {
- $temp = '';
- if ($nonzero) {
- for ($i = 0; $i < $bytes; $i++) {
- $temp.= chr(crypt_random(1, 255));
- }
- } else {
- $ints = ($bytes + 1) >> 2;
- for ($i = 0; $i < $ints; $i++) {
- $temp.= pack('N', crypt_random());
- }
- $temp = substr($temp, 0, $bytes);
- }
- return $temp;
- }
-
- /**
- * Integer-to-Octet-String primitive
- *
- * See {@link http://tools.ietf.org/html/rfc3447#section-4.1 RFC3447#section-4.1}.
- *
- * @access private
- * @param Math_BigInteger $x
- * @param Integer $xLen
- * @return String
- */
- function _i2osp($x, $xLen)
- {
- $x = $x->toBytes();
- if (strlen($x) > $xLen) {
- user_error('Integer too large', E_USER_NOTICE);
- return false;
- }
- return str_pad($x, $xLen, chr(0), STR_PAD_LEFT);
- }
-
- /**
- * Octet-String-to-Integer primitive
- *
- * See {@link http://tools.ietf.org/html/rfc3447#section-4.2 RFC3447#section-4.2}.
- *
- * @access private
- * @param String $x
- * @return Math_BigInteger
- */
- function _os2ip($x)
- {
- return new Math_BigInteger($x, 256);
- }
-
- /**
- * Exponentiate with or without Chinese Remainder Theorem
- *
- * See {@link http://tools.ietf.org/html/rfc3447#section-5.1.1 RFC3447#section-5.1.2}.
- *
- * @access private
- * @param Math_BigInteger $x
- * @return Math_BigInteger
- */
- function _exponentiate($x)
- {
- if (empty($this->primes) || empty($this->coefficients) || empty($this->exponents)) {
- return $x->modPow($this->exponent, $this->modulus);
- }
-
- $num_primes = count($this->primes);
- $m_i = array(
- 1 => $x->modPow($this->exponents[1], $this->primes[1]),
- 2 => $x->modPow($this->exponents[2], $this->primes[2])
- );
- $h = $m_i[1]->subtract($m_i[2]);
- $h = $h->multiply($this->coefficients[2]);
- list(, $h) = $h->divide($this->primes[1]);
- $m = $m_i[2]->add($h->multiply($this->primes[2]));
-
- $r = $this->primes[1];
- for ($i = 3; $i <= $num_primes; $i++) {
- $m_i = $x->modPow($this->exponents[$i], $this->primes[$i]);
-
- $r = $r->multiply($this->primes[$i - 1]);
-
- $h = $m_i->subtract($m);
- $h = $h->multiply($this->coefficients[$i]);
- list(, $h) = $h->divide($this->primes[$i]);
-
- $m = $m->add($r->multiply($h));
- }
-
- return $m;
- }
-
- /**
- * RSAEP
- *
- * See {@link http://tools.ietf.org/html/rfc3447#section-5.1.1 RFC3447#section-5.1.1}.
- *
- * @access private
- * @param Math_BigInteger $m
- * @return Math_BigInteger
- */
- function _rsaep($m)
- {
- if ($m->compare($this->zero) < 0 || $m->compare($this->modulus) > 0) {
- user_error('Message representative out of range', E_USER_NOTICE);
- return false;
- }
- return $this->_exponentiate($m);
- }
-
- /**
- * RSADP
- *
- * See {@link http://tools.ietf.org/html/rfc3447#section-5.1.2 RFC3447#section-5.1.2}.
- *
- * @access private
- * @param Math_BigInteger $c
- * @return Math_BigInteger
- */
- function _rsadp($c)
- {
- if ($c->compare($this->zero) < 0 || $c->compare($this->modulus) > 0) {
- user_error('Ciphertext representative out of range', E_USER_NOTICE);
- return false;
- }
- return $this->_exponentiate($c);
- }
-
- /**
- * RSASP1
- *
- * See {@link http://tools.ietf.org/html/rfc3447#section-5.2.1 RFC3447#section-5.2.1}.
- *
- * @access private
- * @param Math_BigInteger $m
- * @return Math_BigInteger
- */
- function _rsasp1($m)
- {
- if ($m->compare($this->zero) < 0 || $m->compare($this->modulus) > 0) {
- user_error('Message representative out of range', E_USER_NOTICE);
- return false;
- }
- return $this->_exponentiate($m);
- }
-
- /**
- * RSAVP1
- *
- * See {@link http://tools.ietf.org/html/rfc3447#section-5.2.2 RFC3447#section-5.2.2}.
- *
- * @access private
- * @param Math_BigInteger $s
- * @return Math_BigInteger
- */
- function _rsavp1($s)
- {
- if ($s->compare($this->zero) < 0 || $s->compare($this->modulus) > 0) {
- user_error('Signature representative out of range', E_USER_NOTICE);
- return false;
- }
- return $this->_exponentiate($s);
- }
-
- /**
- * MGF1
- *
- * See {@link http://tools.ietf.org/html/rfc3447#section-B.2.1 RFC3447#section-B.2.1}.
- *
- * @access private
- * @param String $mgfSeed
- * @param Integer $mgfLen
- * @return String
- */
- function _mgf1($mgfSeed, $maskLen)
- {
- // if $maskLen would yield strings larger than 4GB, PKCS#1 suggests a "Mask too long" error be output.
-
- $t = '';
- $count = ceil($maskLen / $this->hLen);
- for ($i = 0; $i < $count; $i++) {
- $c = pack('N', $i);
- $t.= $this->mgfHash->hash($mgfSeed . $c);
- }
-
- return substr($t, 0, $maskLen);
- }
-
- /**
- * RSAES-OAEP-ENCRYPT
- *
- * See {@link http://tools.ietf.org/html/rfc3447#section-7.1.1 RFC3447#section-7.1.1} and
- * {http://en.wikipedia.org/wiki/Optimal_Asymmetric_Encryption_Padding OAES}.
- *
- * @access private
- * @param String $m
- * @param String $l
- * @return String
- */
- function _rsaes_oaep_encrypt($m, $l = '')
- {
- $mLen = strlen($m);
-
- // Length checking
-
- // if $l is larger than two million terrabytes and you're using sha1, PKCS#1 suggests a "Label too long" error
- // be output.
-
- if ($mLen > $this->k - 2 * $this->hLen - 2) {
- user_error('Message too long', E_USER_NOTICE);
- return false;
- }
-
- // EME-OAEP encoding
-
- $lHash = $this->hash->hash($l);
- $ps = str_repeat(chr(0), $this->k - $mLen - 2 * $this->hLen - 2);
- $db = $lHash . $ps . chr(1) . $m;
- $seed = $this->_random($this->hLen);
- $dbMask = $this->_mgf1($seed, $this->k - $this->hLen - 1);
- $maskedDB = $db ^ $dbMask;
- $seedMask = $this->_mgf1($maskedDB, $this->hLen);
- $maskedSeed = $seed ^ $seedMask;
- $em = chr(0) . $maskedSeed . $maskedDB;
-
- // RSA encryption
-
- $m = $this->_os2ip($em);
- $c = $this->_rsaep($m);
- $c = $this->_i2osp($c, $this->k);
-
- // Output the ciphertext C
-
- return $c;
- }
-
- /**
- * RSAES-OAEP-DECRYPT
- *
- * See {@link http://tools.ietf.org/html/rfc3447#section-7.1.2 RFC3447#section-7.1.2}. The fact that the error
- * messages aren't distinguishable from one another hinders debugging, but, to quote from RFC3447#section-7.1.2:
- *
- * Note. Care must be taken to ensure that an opponent cannot
- * distinguish the different error conditions in Step 3.g, whether by
- * error message or timing, or, more generally, learn partial
- * information about the encoded message EM. Otherwise an opponent may
- * be able to obtain useful information about the decryption of the
- * ciphertext C, leading to a chosen-ciphertext attack such as the one
- * observed by Manger [36].
- *
- * As for $l... to quote from {@link http://tools.ietf.org/html/rfc3447#page-17 RFC3447#page-17}:
- *
- * Both the encryption and the decryption operations of RSAES-OAEP take
- * the value of a label L as input. In this version of PKCS #1, L is
- * the empty string; other uses of the label are outside the scope of
- * this document.
- *
- * @access private
- * @param String $c
- * @param String $l
- * @return String
- */
- function _rsaes_oaep_decrypt($c, $l = '')
- {
- // Length checking
-
- // if $l is larger than two million terrabytes and you're using sha1, PKCS#1 suggests a "Label too long" error
- // be output.
-
- if (strlen($c) != $this->k || $this->k < 2 * $this->hLen + 2) {
- user_error('Decryption error', E_USER_NOTICE);
- return false;
- }
-
- // RSA decryption
-
- $c = $this->_os2ip($c);
- $m = $this->_rsadp($c);
- if ($m === false) {
- user_error('Decryption error', E_USER_NOTICE);
- return false;
- }
- $em = $this->_i2osp($m, $this->k);
-
- // EME-OAEP decoding
-
- $lHash = $this->hash->hash($l);
- $y = ord($em[0]);
- $maskedSeed = substr($em, 1, $this->hLen);
- $maskedDB = substr($em, $this->hLen + 1);
- $seedMask = $this->_mgf1($maskedDB, $this->hLen);
- $seed = $maskedSeed ^ $seedMask;
- $dbMask = $this->_mgf1($seed, $this->k - $this->hLen - 1);
- $db = $maskedDB ^ $dbMask;
- $lHash2 = substr($db, 0, $this->hLen);
- $m = substr($db, $this->hLen);
- if ($lHash != $lHash2) {
- user_error('Decryption error', E_USER_NOTICE);
- return false;
- }
- $m = ltrim($m, chr(0));
- if (ord($m[0]) != 1) {
- user_error('Decryption error', E_USER_NOTICE);
- return false;
- }
-
- // Output the message M
-
- return substr($m, 1);
- }
-
- /**
- * RSAES-PKCS1-V1_5-ENCRYPT
- *
- * See {@link http://tools.ietf.org/html/rfc3447#section-7.2.1 RFC3447#section-7.2.1}.
- *
- * @access private
- * @param String $m
- * @return String
- */
- function _rsaes_pkcs1_v1_5_encrypt($m)
- {
- $mLen = strlen($m);
-
- // Length checking
-
- if ($mLen > $this->k - 11) {
- user_error('Message too long', E_USER_NOTICE);
- return false;
- }
-
- // EME-PKCS1-v1_5 encoding
-
- $ps = $this->_random($this->k - $mLen - 3, true);
- $em = chr(0) . chr(2) . $ps . chr(0) . $m;
-
- // RSA encryption
- $m = $this->_os2ip($em);
- $c = $this->_rsaep($m);
- $c = $this->_i2osp($c, $this->k);
-
- // Output the ciphertext C
-
- return $c;
- }
-
- /**
- * RSAES-PKCS1-V1_5-DECRYPT
- *
- * See {@link http://tools.ietf.org/html/rfc3447#section-7.2.2 RFC3447#section-7.2.2}.
- *
- * @access private
- * @param String $c
- * @return String
- */
- function _rsaes_pkcs1_v1_5_decrypt($c)
- {
- // Length checking
-
- if (strlen($c) != $this->k) { // or if k < 11
- user_error('Decryption error', E_USER_NOTICE);
- return false;
- }
-
- // RSA decryption
-
- $c = $this->_os2ip($c);
- $m = $this->_rsadp($c);
- if ($m === false) {
- user_error('Decryption error', E_USER_NOTICE);
- return false;
- }
- $em = $this->_i2osp($m, $this->k);
-
- // EME-PKCS1-v1_5 decoding
-
- if (ord($em[0]) != 0 || ord($em[1]) != 2) {
- user_error('Decryption error', E_USER_NOTICE);
- return false;
- }
-
- $ps = substr($em, 2, strpos($em, chr(0), 2) - 2);
- $m = substr($em, strlen($ps) + 3);
-
- if (strlen($ps) < 8) {
- user_error('Decryption error', E_USER_NOTICE);
- return false;
- }
-
- // Output M
-
- return $m;
- }
-
- /**
- * EMSA-PSS-ENCODE
- *
- * See {@link http://tools.ietf.org/html/rfc3447#section-9.1.1 RFC3447#section-9.1.1}.
- *
- * @access private
- * @param String $m
- * @param Integer $emBits
- */
- function _emsa_pss_encode($m, $emBits)
- {
- // if $m is larger than two million terrabytes and you're using sha1, PKCS#1 suggests a "Label too long" error
- // be output.
-
- $emLen = ($emBits + 1) >> 3; // ie. ceil($emBits / 8)
- $sLen = $this->sLen == false ? $this->hLen : $this->sLen;
-
- $mHash = $this->hash->hash($m);
- if ($emLen < $this->hLen + $sLen + 2) {
- user_error('Encoding error', E_USER_NOTICE);
- return false;
- }
-
- $salt = $this->_random($sLen);
- $m2 = "\0\0\0\0\0\0\0\0" . $mHash . $salt;
- $h = $this->hash->hash($m2);
- $ps = str_repeat(chr(0), $emLen - $sLen - $this->hLen - 2);
- $db = $ps . chr(1) . $salt;
- $dbMask = $this->_mgf1($h, $emLen - $this->hLen - 1);
- $maskedDB = $db ^ $dbMask;
- $maskedDB[0] = ~chr(0xFF << ($emBits & 7)) & $maskedDB[0];
- $em = $maskedDB . $h . chr(0xBC);
-
- return $em;
- }
-
- /**
- * EMSA-PSS-VERIFY
- *
- * See {@link http://tools.ietf.org/html/rfc3447#section-9.1.2 RFC3447#section-9.1.2}.
- *
- * @access private
- * @param String $m
- * @param String $em
- * @param Integer $emBits
- * @return String
- */
- function _emsa_pss_verify($m, $em, $emBits)
- {
- // if $m is larger than two million terrabytes and you're using sha1, PKCS#1 suggests a "Label too long" error
- // be output.
-
- $emLen = ($emBits + 1) >> 3; // ie. ceil($emBits / 8);
- $sLen = $this->sLen == false ? $this->hLen : $this->sLen;
-
- $mHash = $this->hash->hash($m);
- if ($emLen < $this->hLen + $sLen + 2) {
- return false;
- }
-
- if ($em[strlen($em) - 1] != chr(0xBC)) {
- return false;
- }
-
- $maskedDB = substr($em, 0, $em - $this->hLen - 1);
- $h = substr($em, $em - $this->hLen - 1, $this->hLen);
- $temp = chr(0xFF << ($emBits & 7));
- if ((~$maskedDB[0] & $temp) != $temp) {
- return false;
- }
- $dbMask = $this->_mgf1($h, $emLen - $this->hLen - 1);
- $db = $maskedDB ^ $dbMask;
- $db[0] = ~chr(0xFF << ($emBits & 7)) & $db[0];
- $temp = $emLen - $this->hLen - $sLen - 2;
- if (substr($db, 0, $temp) != str_repeat(chr(0), $temp) || ord($db[$temp]) != 1) {
- return false;
- }
- $salt = substr($db, $temp + 1); // should be $sLen long
- $m2 = "\0\0\0\0\0\0\0\0" . $mHash . $salt;
- $h2 = $this->hash->hash($m2);
- return $h == $h2;
- }
-
- /**
- * RSASSA-PSS-SIGN
- *
- * See {@link http://tools.ietf.org/html/rfc3447#section-8.1.1 RFC3447#section-8.1.1}.
- *
- * @access private
- * @param String $m
- * @return String
- */
- function _rsassa_pss_sign($m)
- {
- // EMSA-PSS encoding
-
- $em = $this->_emsa_pss_encode($m, 8 * $this->k - 1);
-
- // RSA signature
-
- $m = $this->_os2ip($em);
- $s = $this->_rsasp1($m);
- $s = $this->_i2osp($s, $this->k);
-
- // Output the signature S
-
- return $s;
- }
-
- /**
- * RSASSA-PSS-VERIFY
- *
- * See {@link http://tools.ietf.org/html/rfc3447#section-8.1.2 RFC3447#section-8.1.2}.
- *
- * @access private
- * @param String $m
- * @param String $s
- * @return String
- */
- function _rsassa_pss_verify($m, $s)
- {
- // Length checking
-
- if (strlen($s) != $this->k) {
- user_error('Invalid signature', E_USER_NOTICE);
- return false;
- }
-
- // RSA verification
-
- $modBits = 8 * $this->k;
-
- $s2 = $this->_os2ip($s);
- $m2 = $this->_rsavp1($s2);
- if ($m2 === false) {
- user_error('Invalid signature', E_USER_NOTICE);
- return false;
- }
- $em = $this->_i2osp($m2, $modBits >> 3);
- if ($em === false) {
- user_error('Invalid signature', E_USER_NOTICE);
- return false;
- }
-
- // EMSA-PSS verification
-
- return $this->_emsa_pss_verify($m, $em, $modBits - 1);
- }
-
- /**
- * EMSA-PKCS1-V1_5-ENCODE
- *
- * See {@link http://tools.ietf.org/html/rfc3447#section-9.2 RFC3447#section-9.2}.
- *
- * @access private
- * @param String $m
- * @param Integer $emLen
- * @return String
- */
- function _emsa_pkcs1_v1_5_encode($m, $emLen)
- {
- $h = $this->hash->hash($m);
- if ($h === false) {
- return false;
- }
-
- // see http://tools.ietf.org/html/rfc3447#page-43
- switch ($this->hashName) {
- case 'md2':
- $t = pack('H*', '3020300c06082a864886f70d020205000410');
- break;
- case 'md5':
- $t = pack('H*', '3020300c06082a864886f70d020505000410');
- break;
- case 'sha1':
- $t = pack('H*', '3021300906052b0e03021a05000414');
- break;
- case 'sha256':
- $t = pack('H*', '3031300d060960864801650304020105000420');
- break;
- case 'sha384':
- $t = pack('H*', '3041300d060960864801650304020205000430');
- break;
- case 'sha512':
- $t = pack('H*', '3051300d060960864801650304020305000440');
- }
- $t.= $h;
- $tLen = strlen($t);
-
- if ($emLen < $tLen + 11) {
- user_error('Intended encoded message length too short', E_USER_NOTICE);
- return false;
- }
-
- $ps = str_repeat(chr(0xFF), $emLen - $tLen - 3);
-
- $em = "\0\1$ps\0$t";
-
- return $em;
- }
-
- /**
- * RSASSA-PKCS1-V1_5-SIGN
- *
- * See {@link http://tools.ietf.org/html/rfc3447#section-8.2.1 RFC3447#section-8.2.1}.
- *
- * @access private
- * @param String $m
- * @return String
- */
- function _rsassa_pkcs1_v1_5_sign($m)
- {
- // EMSA-PKCS1-v1_5 encoding
-
- $em = $this->_emsa_pkcs1_v1_5_encode($m, $this->k);
- if ($em === false) {
- user_error('RSA modulus too short', E_USER_NOTICE);
- return false;
- }
-
- // RSA signature
-
- $m = $this->_os2ip($em);
- $s = $this->_rsasp1($m);
- $s = $this->_i2osp($s, $this->k);
-
- // Output the signature S
-
- return $s;
- }
-
- /**
- * RSASSA-PKCS1-V1_5-VERIFY
- *
- * See {@link http://tools.ietf.org/html/rfc3447#section-8.2.2 RFC3447#section-8.2.2}.
- *
- * @access private
- * @param String $m
- * @return String
- */
- function _rsassa_pkcs1_v1_5_verify($m, $s)
- {
- // Length checking
-
- if (strlen($s) != $this->k) {
- user_error('Invalid signature', E_USER_NOTICE);
- return false;
- }
-
- // RSA verification
-
- $s = $this->_os2ip($s);
- $m2 = $this->_rsavp1($s);
- if ($m2 === false) {
- user_error('Invalid signature', E_USER_NOTICE);
- return false;
- }
- $em = $this->_i2osp($m2, $this->k);
- if ($em === false) {
- user_error('Invalid signature', E_USER_NOTICE);
- return false;
- }
-
- // EMSA-PKCS1-v1_5 encoding
-
- $em2 = $this->_emsa_pkcs1_v1_5_encode($m, $this->k);
- if ($em2 === false) {
- user_error('RSA modulus too short', E_USER_NOTICE);
- return false;
- }
-
- // Compare
-
- return $em == $em2;
- }
-
- /**
- * Set Encryption Mode
- *
- * Valid values include CRYPT_RSA_ENCRYPTION_OAEP and CRYPT_RSA_ENCRYPTION_PKCS1.
- *
- * @access public
- * @param Integer $mode
- */
- function setEncryptionMode($mode)
- {
- $this->encryptionMode = $mode;
- }
-
- /**
- * Set Signature Mode
- *
- * Valid values include CRYPT_RSA_SIGNATURE_PSS and CRYPT_RSA_SIGNATURE_PKCS1
- *
- * @access public
- * @param Integer $mode
- */
- function setSignatureMode($mode)
- {
- $this->signatureMode = $mode;
- }
-
- /**
- * Encryption
- *
- * Both CRYPT_RSA_ENCRYPTION_OAEP and CRYPT_RSA_ENCRYPTION_PKCS1 both place limits on how long $plaintext can be.
- * If $plaintext exceeds those limits it will be broken up so that it does and the resultant ciphertext's will
- * be concatenated together.
- *
- * @see decrypt()
- * @access public
- * @param String $plaintext
- * @return String
- */
- function encrypt($plaintext)
- {
- switch ($this->encryptionMode) {
- case CRYPT_RSA_ENCRYPTION_PKCS1:
- $plaintext = str_split($plaintext, $this->k - 11);
- $ciphertext = '';
- foreach ($plaintext as $m) {
- $ciphertext.= $this->_rsaes_pkcs1_v1_5_encrypt($m);
- }
- return $ciphertext;
- //case CRYPT_RSA_ENCRYPTION_OAEP:
- default:
- $plaintext = str_split($plaintext, $this->k - 2 * $this->hLen - 2);
- $ciphertext = '';
- foreach ($plaintext as $m) {
- $ciphertext.= $this->_rsaes_oaep_encrypt($m);
- }
- return $ciphertext;
- }
- }
-
- /**
- * Decryption
- *
- * @see encrypt()
- * @access public
- * @param String $plaintext
- * @return String
- */
- function decrypt($ciphertext)
- {
- switch ($this->encryptionMode) {
- case CRYPT_RSA_ENCRYPTION_PKCS1:
- $ciphertext = str_split($ciphertext, $this->k);
- $plaintext = '';
- foreach ($ciphertext as $c) {
- $temp = $this->_rsaes_pkcs1_v1_5_decrypt($c);
- if ($temp === false) {
- return false;
- }
- $plaintext.= $temp;
- }
- return $plaintext;
- //case CRYPT_RSA_ENCRYPTION_OAEP:
- default:
- $ciphertext = str_split($ciphertext, $this->k);
- $plaintext = '';
- foreach ($ciphertext as $c) {
- $temp = $this->_rsaes_oaep_decrypt($c);
- if ($temp === false) {
- return false;
- }
- $plaintext.= $temp;
- }
- return $plaintext;
- }
- }
-
- /**
- * Create a signature
- *
- * @see verify()
- * @access public
- * @param String $message
- * @return String
- */
- function sign($message)
- {
- switch ($this->signatureMode) {
- case CRYPT_RSA_SIGNATURE_PKCS1:
- return $this->_rsassa_pkcs1_v1_5_sign($message);
- //case CRYPT_RSA_SIGNATURE_PSS:
- default:
- return $this->_rsassa_pss_sign($message);
- }
- }
-
- /**
- * Verifies a signature
- *
- * @see sign()
- * @access public
- * @param String $message
- * @param String $signature
- * @return Boolean
- */
- function verify($message, $signature)
- {
- switch ($this->signatureMode) {
- case CRYPT_RSA_SIGNATURE_PKCS1:
- return $this->_rsassa_pkcs1_v1_5_verify($message, $signature);
- //case CRYPT_RSA_SIGNATURE_PSS:
- default:
- return $this->_rsassa_pss_verify($message, $signature);
- }
- }
+<?php +/* vim: set expandtab tabstop=4 shiftwidth=4 softtabstop=4: */ + +/** + * Pure-PHP PKCS#1 (v2.1) compliant implementation of RSA. + * + * PHP versions 4 and 5 + * + * Here's an example of how to encrypt and decrypt text with this library: + * <code> + * <?php + * include('Crypt/RSA.php'); + * + * $rsa = new Crypt_RSA(); + * extract($rsa->createKey()); + * + * $plaintext = 'terrafrost'; + * + * $rsa->loadKey($privatekey); + * $ciphertext = $rsa->encrypt($plaintext); + * + * $rsa->loadKey($publickey); + * echo $rsa->decrypt($ciphertext); + * ?> + * </code> + * + * Here's an example of how to create signatures and verify signatures with this library: + * <code> + * <?php + * include('Crypt/RSA.php'); + * + * $rsa = new Crypt_RSA(); + * extract($rsa->createKey()); + * + * $plaintext = 'terrafrost'; + * + * $rsa->loadKey($privatekey); + * $signature = $rsa->sign($plaintext); + * + * $rsa->loadKey($publickey); + * echo $rsa->verify($plaintext, $signature) ? 'verified' : 'unverified'; + * ?> + * </code> + * + * LICENSE: This library is free software; you can redistribute it and/or + * modify it under the terms of the GNU Lesser General Public + * License as published by the Free Software Foundation; either + * version 2.1 of the License, or (at your option) any later version. + * + * This library is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + * Lesser General Public License for more details. + * + * You should have received a copy of the GNU Lesser General Public + * License along with this library; if not, write to the Free Software + * Foundation, Inc., 59 Temple Place, Suite 330, Boston, + * MA 02111-1307 USA + * + * @category Crypt + * @package Crypt_RSA + * @author Jim Wigginton <terrafrost@php.net> + * @copyright MMIX Jim Wigginton + * @license http://www.gnu.org/licenses/lgpl.txt + * @version $Id: RSA.php,v 1.14 2010/03/01 17:28:19 terrafrost Exp $ + * @link http://phpseclib.sourceforge.net + */ + +/** + * Include Math_BigInteger + */ +require_once('Math/BigInteger.php'); + +/** + * Include Crypt_Random + */ +require_once('Crypt/Random.php'); + +/** + * Include Crypt_Hash + */ +require_once('Crypt/Hash.php'); + +/**#@+ + * @access public + * @see Crypt_RSA::encrypt() + * @see Crypt_RSA::decrypt() + */ +/** + * Use {@link http://en.wikipedia.org/wiki/Optimal_Asymmetric_Encryption_Padding Optimal Asymmetric Encryption Padding} + * (OAEP) for encryption / decryption. + * + * Uses sha1 by default. + * + * @see Crypt_RSA::setHash() + * @see Crypt_RSA::setMGFHash() + */ +define('CRYPT_RSA_ENCRYPTION_OAEP', 1); +/** + * Use PKCS#1 padding. + * + * Although CRYPT_RSA_ENCRYPTION_OAEP offers more security, including PKCS#1 padding is necessary for purposes of backwards + * compatability with protocols (like SSH-1) written before OAEP's introduction. + */ +define('CRYPT_RSA_ENCRYPTION_PKCS1', 2); +/**#@-*/ + +/**#@+ + * @access public + * @see Crypt_RSA::sign() + * @see Crypt_RSA::verify() + * @see Crypt_RSA::setHash() + */ +/** + * Use the Probabilistic Signature Scheme for signing + * + * Uses sha1 by default. + * + * @see Crypt_RSA::setSaltLength() + * @see Crypt_RSA::setMGFHash() + */ +define('CRYPT_RSA_SIGNATURE_PSS', 1); +/** + * Use the PKCS#1 scheme by default. + * + * Although CRYPT_RSA_SIGNATURE_PSS offers more security, including PKCS#1 signing is necessary for purposes of backwards + * compatability with protocols (like SSH-2) written before PSS's introduction. + */ +define('CRYPT_RSA_SIGNATURE_PKCS1', 2); +/**#@-*/ + +/**#@+ + * @access private + * @see Crypt_RSA::createKey() + */ +/** + * ASN1 Integer + */ +define('CRYPT_RSA_ASN1_INTEGER', 2); +/** + * ASN1 Sequence (with the constucted bit set) + */ +define('CRYPT_RSA_ASN1_SEQUENCE', 48); +/**#@-*/ + +/**#@+ + * @access private + * @see Crypt_RSA::Crypt_RSA() + */ +/** + * To use the pure-PHP implementation + */ +define('CRYPT_RSA_MODE_INTERNAL', 1); +/** + * To use the OpenSSL library + * + * (if enabled; otherwise, the internal implementation will be used) + */ +define('CRYPT_RSA_MODE_OPENSSL', 2); +/**#@-*/ + +/**#@+ + * @access public + * @see Crypt_RSA::createKey() + * @see Crypt_RSA::setPrivateKeyFormat() + */ +/** + * PKCS#1 formatted private key + * + * Used by OpenSSH + */ +define('CRYPT_RSA_PRIVATE_FORMAT_PKCS1', 0); +/**#@-*/ + +/**#@+ + * @access public + * @see Crypt_RSA::createKey() + * @see Crypt_RSA::setPublicKeyFormat() + */ +/** + * Raw public key + * + * An array containing two Math_BigInteger objects. + * + * The exponent can be indexed with any of the following: + * + * 0, e, exponent, publicExponent + * + * The modulus can be indexed with any of the following: + * + * 1, n, modulo, modulus + */ +define('CRYPT_RSA_PUBLIC_FORMAT_RAW', 1); +/** + * PKCS#1 formatted public key + */ +define('CRYPT_RSA_PUBLIC_FORMAT_PKCS1', 2); +/** + * OpenSSH formatted public key + * + * Place in $HOME/.ssh/authorized_keys + */ +define('CRYPT_RSA_PUBLIC_FORMAT_OPENSSH', 3); +/**#@-*/ + +/** + * Pure-PHP PKCS#1 compliant implementation of RSA. + * + * @author Jim Wigginton <terrafrost@php.net> + * @version 0.1.0 + * @access public + * @package Crypt_RSA + */ +class Crypt_RSA { + /** + * Precomputed Zero + * + * @var Array + * @access private + */ + var $zero; + + /** + * Precomputed One + * + * @var Array + * @access private + */ + var $one; + + /** + * Private Key Format + * + * @var Integer + * @access private + */ + var $privateKeyFormat = CRYPT_RSA_PRIVATE_FORMAT_PKCS1; + + /** + * Public Key Format + * + * @var Integer + * @access public + */ + var $publicKeyFormat = CRYPT_RSA_PUBLIC_FORMAT_PKCS1; + + /** + * Modulus (ie. n) + * + * @var Math_BigInteger + * @access private + */ + var $modulus; + + /** + * Modulus length + * + * @var Math_BigInteger + * @access private + */ + var $k; + + /** + * Exponent (ie. e or d) + * + * @var Math_BigInteger + * @access private + */ + var $exponent; + + /** + * Primes for Chinese Remainder Theorem (ie. p and q) + * + * @var Array + * @access private + */ + var $primes; + + /** + * Exponents for Chinese Remainder Theorem (ie. dP and dQ) + * + * @var Array + * @access private + */ + var $exponents; + + /** + * Coefficients for Chinese Remainder Theorem (ie. qInv) + * + * @var Array + * @access private + */ + var $coefficients; + + /** + * Hash name + * + * @var String + * @access private + */ + var $hashName; + + /** + * Hash function + * + * @var Crypt_Hash + * @access private + */ + var $hash; + + /** + * Length of hash function output + * + * @var Integer + * @access private + */ + var $hLen; + + /** + * Length of salt + * + * @var Integer + * @access private + */ + var $sLen; + + /** + * Hash function for the Mask Generation Function + * + * @var Crypt_Hash + * @access private + */ + var $mgfHash; + + /** + * Length of MGF hash function output + * + * @var Integer + * @access private + */ + var $mgfHLen; + + /** + * Encryption mode + * + * @var Integer + * @access private + */ + var $encryptionMode = CRYPT_RSA_ENCRYPTION_OAEP; + + /** + * Signature mode + * + * @var Integer + * @access private + */ + var $signatureMode = CRYPT_RSA_SIGNATURE_PSS; + + /** + * Public Exponent + * + * @var Mixed + * @access private + */ + var $publicExponent = false; + + /** + * Password + * + * @var String + * @access private + */ + var $password = ''; + + /** + * The constructor + * + * If you want to make use of the openssl extension, you'll need to set the mode manually, yourself. The reason + * Crypt_RSA doesn't do it is because OpenSSL doesn't fail gracefully. openssl_pkey_new(), in particular, requires + * openssl.cnf be present somewhere and, unfortunately, the only real way to find out is too late. + * + * @return Crypt_RSA + * @access public + */ + function Crypt_RSA() + { + if ( !defined('CRYPT_RSA_MODE') ) { + switch (true) { + //case extension_loaded('openssl') && version_compare(PHP_VERSION, '4.2.0', '>='): + // define('CRYPT_RSA_MODE', CRYPT_RSA_MODE_OPENSSL); + // break; + default: + define('CRYPT_RSA_MODE', CRYPT_RSA_MODE_INTERNAL); + } + } + + $this->zero = new Math_BigInteger(); + $this->one = new Math_BigInteger(1); + + $this->hash = new Crypt_Hash('sha1'); + $this->hLen = $this->hash->getLength(); + $this->hashName = 'sha1'; + $this->mgfHash = new Crypt_Hash('sha1'); + $this->mgfHLen = $this->mgfHash->getLength(); + } + + /** + * Create public / private key pair + * + * Returns an array with the following three elements: + * - 'privatekey': The private key. + * - 'publickey': The public key. + * - 'partialkey': A partially computed key (if the execution time exceeded $timeout). + * Will need to be passed back to Crypt_RSA::createKey() as the third parameter for further processing. + * + * @access public + * @param optional Integer $bits + * @param optional Integer $timeout + * @param optional Math_BigInteger $p + */ + function createKey($bits = 1024, $timeout = false, $partial = array()) + { + if ( CRYPT_RSA_MODE == CRYPT_RSA_MODE_OPENSSL ) { + $rsa = openssl_pkey_new(array('private_key_bits' => $bits)); + openssl_pkey_export($rsa, $privatekey); + $publickey = openssl_pkey_get_details($rsa); + $publickey = $publickey['key']; + + if ($this->privateKeyFormat != CRYPT_RSA_PRIVATE_FORMAT_PKCS1) { + $privatekey = call_user_func_array(array($this, '_convertPrivateKey'), array_values($this->_parseKey($privatekey, CRYPT_RSA_PRIVATE_FORMAT_PKCS1))); + $publickey = call_user_func_array(array($this, '_convertPublicKey'), array_values($this->_parseKey($publickey, CRYPT_RSA_PUBLIC_FORMAT_PKCS1))); + } + + return array( + 'privatekey' => $privatekey, + 'publickey' => $publickey, + 'partialkey' => false + ); + } + + static $e; + if (!isset($e)) { + if (!defined('CRYPT_RSA_EXPONENT')) { + // http://en.wikipedia.org/wiki/65537_%28number%29 + define('CRYPT_RSA_EXPONENT', '65537'); + } + if (!defined('CRYPT_RSA_COMMENT')) { + define('CRYPT_RSA_COMMENT', 'phpseclib-generated-key'); + } + // per <http://cseweb.ucsd.edu/~hovav/dist/survey.pdf#page=5>, this number ought not result in primes smaller + // than 256 bits. + if (!defined('CRYPT_RSA_SMALLEST_PRIME')) { + define('CRYPT_RSA_SMALLEST_PRIME', 4096); + } + + $e = new Math_BigInteger(CRYPT_RSA_EXPONENT); + } + + extract($this->_generateMinMax($bits)); + $absoluteMin = $min; + $temp = $bits >> 1; + if ($temp > CRYPT_RSA_SMALLEST_PRIME) { + $num_primes = floor($bits / CRYPT_RSA_SMALLEST_PRIME); + $temp = CRYPT_RSA_SMALLEST_PRIME; + } else { + $num_primes = 2; + } + extract($this->_generateMinMax($temp + $bits % $temp)); + $finalMax = $max; + extract($this->_generateMinMax($temp)); + + $generator = new Math_BigInteger(); + $generator->setRandomGenerator('crypt_random'); + + $n = $this->one->copy(); + if (!empty($partial)) { + extract(unserialize($partial)); + } else { + $exponents = $coefficients = $primes = array(); + $lcm = array( + 'top' => $this->one->copy(), + 'bottom' => false + ); + } + + $start = time(); + $i0 = count($primes) + 1; + + do { + for ($i = $i0; $i <= $num_primes; $i++) { + if ($timeout !== false) { + $timeout-= time() - $start; + $start = time(); + if ($timeout <= 0) { + return serialize(array( + 'privatekey' => '', + 'publickey' => '', + 'partialkey' => array( + 'primes' => $primes, + 'coefficients' => $coefficients, + 'lcm' => $lcm, + 'exponents' => $exponents + ) + )); + } + } + + if ($i == $num_primes) { + list($min, $temp) = $absoluteMin->divide($n); + if (!$temp->equals($this->zero)) { + $min = $min->add($this->one); // ie. ceil() + } + $primes[$i] = $generator->randomPrime($min, $finalMax, $timeout); + } else { + $primes[$i] = $generator->randomPrime($min, $max, $timeout); + } + + if ($primes[$i] === false) { // if we've reached the timeout + return array( + 'privatekey' => '', + 'publickey' => '', + 'partialkey' => empty($primes) ? '' : serialize(array( + 'primes' => array_slice($primes, 0, $i - 1), + 'coefficients' => $coefficients, + 'lcm' => $lcm, + 'exponents' => $exponents + )) + ); + } + + // the first coefficient is calculated differently from the rest + // ie. instead of being $primes[1]->modInverse($primes[2]), it's $primes[2]->modInverse($primes[1]) + if ($i > 2) { + $coefficients[$i] = $n->modInverse($primes[$i]); + } + + $n = $n->multiply($primes[$i]); + + $temp = $primes[$i]->subtract($this->one); + + // textbook RSA implementations use Euler's totient function instead of the least common multiple. + // see http://en.wikipedia.org/wiki/Euler%27s_totient_function + $lcm['top'] = $lcm['top']->multiply($temp); + $lcm['bottom'] = $lcm['bottom'] === false ? $temp : $lcm['bottom']->gcd($temp); + + $exponents[$i] = $e->modInverse($temp); + } + + list($lcm) = $lcm['top']->divide($lcm['bottom']); + $gcd = $lcm->gcd($e); + $i0 = 1; + } while (!$gcd->equals($this->one)); + + $d = $e->modInverse($lcm); + + $coefficients[2] = $primes[2]->modInverse($primes[1]); + + // from <http://tools.ietf.org/html/rfc3447#appendix-A.1.2>: + // RSAPrivateKey ::= SEQUENCE { + // version Version, + // modulus INTEGER, -- n + // publicExponent INTEGER, -- e + // privateExponent INTEGER, -- d + // prime1 INTEGER, -- p + // prime2 INTEGER, -- q + // exponent1 INTEGER, -- d mod (p-1) + // exponent2 INTEGER, -- d mod (q-1) + // coefficient INTEGER, -- (inverse of q) mod p + // otherPrimeInfos OtherPrimeInfos OPTIONAL + // } + + return array( + 'privatekey' => $this->_convertPrivateKey($n, $e, $d, $primes, $exponents, $coefficients), + 'publickey' => $this->_convertPublicKey($n, $e), + 'partialkey' => false + ); + } + + /** + * Convert a private key to the appropriate format. + * + * @access private + * @see setPrivateKeyFormat() + * @param String $RSAPrivateKey + * @return String + */ + function _convertPrivateKey($n, $e, $d, $primes, $exponents, $coefficients) + { + $num_primes = count($primes); + $raw = array( + 'version' => $num_primes == 2 ? chr(0) : chr(1), // two-prime vs. multi + 'modulus' => $n->toBytes(true), + 'publicExponent' => $e->toBytes(true), + 'privateExponent' => $d->toBytes(true), + 'prime1' => $primes[1]->toBytes(true), + 'prime2' => $primes[2]->toBytes(true), + 'exponent1' => $exponents[1]->toBytes(true), + 'exponent2' => $exponents[2]->toBytes(true), + 'coefficient' => $coefficients[2]->toBytes(true) + ); + + // if the format in question does not support multi-prime rsa and multi-prime rsa was used, + // call _convertPublicKey() instead. + switch ($this->privateKeyFormat) { + default: // eg. CRYPT_RSA_PRIVATE_FORMAT_PKCS1 + $components = array(); + foreach ($raw as $name => $value) { + $components[$name] = pack('Ca*a*', CRYPT_RSA_ASN1_INTEGER, $this->_encodeLength(strlen($value)), $value); + } + + $RSAPrivateKey = implode('', $components); + + if ($num_primes > 2) { + $OtherPrimeInfos = ''; + for ($i = 3; $i <= $num_primes; $i++) { + // OtherPrimeInfos ::= SEQUENCE SIZE(1..MAX) OF OtherPrimeInfo + // + // OtherPrimeInfo ::= SEQUENCE { + // prime INTEGER, -- ri + // exponent INTEGER, -- di + // coefficient INTEGER -- ti + // } + $OtherPrimeInfo = pack('Ca*a*', CRYPT_RSA_ASN1_INTEGER, $this->_encodeLength(strlen($primes[$i]->toBytes(true))), $primes[$i]->toBytes(true)); + $OtherPrimeInfo.= pack('Ca*a*', CRYPT_RSA_ASN1_INTEGER, $this->_encodeLength(strlen($exponents[$i]->toBytes(true))), $exponents[$i]->toBytes(true)); + $OtherPrimeInfo.= pack('Ca*a*', CRYPT_RSA_ASN1_INTEGER, $this->_encodeLength(strlen($coefficients[$i]->toBytes(true))), $coefficients[$i]->toBytes(true)); + $OtherPrimeInfos.= pack('Ca*a*', CRYPT_RSA_ASN1_SEQUENCE, $this->_encodeLength(strlen($OtherPrimeInfo)), $OtherPrimeInfo); + } + $RSAPrivateKey.= pack('Ca*a*', CRYPT_RSA_ASN1_SEQUENCE, $this->_encodeLength(strlen($OtherPrimeInfos)), $OtherPrimeInfos); + } + + $RSAPrivateKey = pack('Ca*a*', CRYPT_RSA_ASN1_SEQUENCE, $this->_encodeLength(strlen($RSAPrivateKey)), $RSAPrivateKey); + + if (!empty($this->password)) { + $iv = $this->_random(8); + $symkey = pack('H*', md5($this->password . $iv)); // symkey is short for symmetric key + $symkey.= substr(pack('H*', md5($symkey . $this->password . $iv)), 0, 8); + if (!class_exists('Crypt_TripleDES')) { + require_once('Crypt/TripleDES.php'); + } + $des = new Crypt_TripleDES(); + $des->setKey($symkey); + $des->setIV($iv); + $iv = strtoupper(bin2hex($iv)); + $RSAPrivateKey = "-----BEGIN RSA PRIVATE KEY-----\r\n" . + "Proc-Type: 4,ENCRYPTED\r\n" . + "DEK-Info: DES-EDE3-CBC,$iv\r\n" . + "\r\n" . + chunk_split(base64_encode($des->encrypt($RSAPrivateKey))) . + '-----END RSA PRIVATE KEY-----'; + } else { + $RSAPrivateKey = "-----BEGIN RSA PRIVATE KEY-----\r\n" . + chunk_split(base64_encode($RSAPrivateKey)) . + '-----END RSA PRIVATE KEY-----'; + } + + return $RSAPrivateKey; + } + } + + /** + * Convert a public key to the appropriate format + * + * @access private + * @see setPublicKeyFormat() + * @param String $RSAPrivateKey + * @return String + */ + function _convertPublicKey($n, $e) + { + $modulus = $n->toBytes(true); + $publicExponent = $e->toBytes(true); + + switch ($this->publicKeyFormat) { + case CRYPT_RSA_PUBLIC_FORMAT_RAW: + return array('e' => $e->copy(), 'n' => $n->copy()); + case CRYPT_RSA_PUBLIC_FORMAT_OPENSSH: + // from <http://tools.ietf.org/html/rfc4253#page-15>: + // string "ssh-rsa" + // mpint e + // mpint n + $RSAPublicKey = pack('Na*Na*Na*', strlen('ssh-rsa'), 'ssh-rsa', strlen($publicExponent), $publicExponent, strlen($modulus), $modulus); + $RSAPublicKey = 'ssh-rsa ' . base64_encode($RSAPublicKey) . ' ' . CRYPT_RSA_COMMENT; + + return $RSAPublicKey; + default: // eg. CRYPT_RSA_PUBLIC_FORMAT_PKCS1 + // from <http://tools.ietf.org/html/rfc3447#appendix-A.1.1>: + // RSAPublicKey ::= SEQUENCE { + // modulus INTEGER, -- n + // publicExponent INTEGER -- e + // } + $components = array( + 'modulus' => pack('Ca*a*', CRYPT_RSA_ASN1_INTEGER, $this->_encodeLength(strlen($modulus)), $modulus), + 'publicExponent' => pack('Ca*a*', CRYPT_RSA_ASN1_INTEGER, $this->_encodeLength(strlen($publicExponent)), $publicExponent) + ); + + $RSAPublicKey = pack('Ca*a*a*', + CRYPT_RSA_ASN1_SEQUENCE, $this->_encodeLength(strlen($components['modulus']) + strlen($components['publicExponent'])), + $components['modulus'], $components['publicExponent'] + ); + + $RSAPublicKey = "-----BEGIN PUBLIC KEY-----\r\n" . + chunk_split(base64_encode($RSAPublicKey)) . + '-----END PUBLIC KEY-----'; + + return $RSAPublicKey; + } + } + + /** + * Break a public or private key down into its constituant components + * + * @access private + * @see _convertPublicKey() + * @see _convertPrivateKey() + * @param String $key + * @param Integer $type + * @return Array + */ + function _parseKey($key, $type) + { + switch ($type) { + case CRYPT_RSA_PUBLIC_FORMAT_RAW: + if (!is_array($key)) { + return false; + } + $components = array(); + switch (true) { + case isset($key['e']): + $components['publicExponent'] = $key['e']->copy(); + break; + case isset($key['exponent']): + $components['publicExponent'] = $key['exponent']->copy(); + break; + case isset($key['publicExponent']): + $components['publicExponent'] = $key['publicExponent']->copy(); + break; + case isset($key[0]): + $components['publicExponent'] = $key[0]->copy(); + } + switch (true) { + case isset($key['n']): + $components['modulus'] = $key['n']->copy(); + break; + case isset($key['modulo']): + $components['modulus'] = $key['modulo']->copy(); + break; + case isset($key['modulus']): + $components['modulus'] = $key['modulus']->copy(); + break; + case isset($key[1]): + $components['modulus'] = $key[1]->copy(); + } + return $components; + case CRYPT_RSA_PRIVATE_FORMAT_PKCS1: + case CRYPT_RSA_PUBLIC_FORMAT_PKCS1: + /* Although PKCS#1 proposes a format that public and private keys can use, encrypting them is + "outside the scope" of PKCS#1. PKCS#1 then refers you to PKCS#12 and PKCS#15 if you're wanting to + protect private keys, however, that's not what OpenSSL* does. OpenSSL protects private keys by adding + two new "fields" to the key - DEK-Info and Proc-Type. These fields are discussed here: + + http://tools.ietf.org/html/rfc1421#section-4.6.1.1 + http://tools.ietf.org/html/rfc1421#section-4.6.1.3 + + DES-EDE3-CBC as an algorithm, however, is not discussed anywhere, near as I can tell. + DES-CBC and DES-EDE are discussed in RFC1423, however, DES-EDE3-CBC isn't, nor is its key derivation + function. As is, the definitive authority on this encoding scheme isn't the IETF but rather OpenSSL's + own implementation. ie. the implementation *is* the standard and any bugs that may exist in that + implementation are part of the standard, as well. + + * OpenSSL is the de facto standard. It's utilized by OpenSSH and other projects */ + if (preg_match('#DEK-Info: (.+),(.+)#', $key, $matches)) { + $iv = pack('H*', trim($matches[2])); + $symkey = pack('H*', md5($this->password . $iv)); // symkey is short for symmetric key + $symkey.= substr(pack('H*', md5($symkey . $this->password . $iv)), 0, 8); + $ciphertext = preg_replace('#.+(\r|\n|\r\n)\1|[\r\n]|-.+-#s', '', $key); + $ciphertext = preg_match('#^[a-zA-Z\d/+]*={0,2}$#', $ciphertext) ? base64_decode($ciphertext) : false; + if ($ciphertext === false) { + $ciphertext = $key; + } + switch ($matches[1]) { + case 'DES-EDE3-CBC': + if (!class_exists('Crypt_TripleDES')) { + require_once('Crypt/TripleDES.php'); + } + $crypto = new Crypt_TripleDES(); + break; + case 'DES-CBC': + if (!class_exists('Crypt_DES')) { + require_once('Crypt/DES.php'); + } + $crypto = new Crypt_DES(); + break; + default: + return false; + } + $crypto->setKey($symkey); + $crypto->setIV($iv); + $decoded = $crypto->decrypt($ciphertext); + } else { + $decoded = preg_replace('#-.+-|[\r\n]#', '', $key); + $decoded = preg_match('#^[a-zA-Z\d/+]*={0,2}$#', $decoded) ? base64_decode($decoded) : false; + } + + if ($decoded !== false) { + $key = $decoded; + } + + $components = array(); + + if (ord($this->_string_shift($key)) != CRYPT_RSA_ASN1_SEQUENCE) { + return false; + } + if ($this->_decodeLength($key) != strlen($key)) { + return false; + } + + $tag = ord($this->_string_shift($key)); + if ($tag == CRYPT_RSA_ASN1_SEQUENCE) { + /* intended for keys for which OpenSSL's asn1parse returns the following: + + 0:d=0 hl=4 l= 290 cons: SEQUENCE + 4:d=1 hl=2 l= 13 cons: SEQUENCE + 6:d=2 hl=2 l= 9 prim: OBJECT :rsaEncryption + 17:d=2 hl=2 l= 0 prim: NULL + 19:d=1 hl=4 l= 271 prim: BIT STRING */ + $this->_string_shift($key, $this->_decodeLength($key)); + $this->_string_shift($key); // skip over the BIT STRING tag + $this->_decodeLength($key); // skip over the BIT STRING length + // "The initial octet shall encode, as an unsigned binary integer wtih bit 1 as the least significant bit, the number of + // unused bits in teh final subsequent octet. The number shall be in the range zero to seven." + // -- http://www.itu.int/ITU-T/studygroups/com17/languages/X.690-0207.pdf (section 8.6.2.2) + $this->_string_shift($key); + if (ord($this->_string_shift($key)) != CRYPT_RSA_ASN1_SEQUENCE) { + return false; + } + if ($this->_decodeLength($key) != strlen($key)) { + return false; + } + $tag = ord($this->_string_shift($key)); + } + if ($tag != CRYPT_RSA_ASN1_INTEGER) { + return false; + } + + $length = $this->_decodeLength($key); + $temp = $this->_string_shift($key, $length); + if (strlen($temp) != 1 || ord($temp) > 2) { + $components['modulus'] = new Math_BigInteger($temp, -256); + $this->_string_shift($key); // skip over CRYPT_RSA_ASN1_INTEGER + $length = $this->_decodeLength($key); + $components[$type == CRYPT_RSA_PUBLIC_FORMAT_PKCS1 ? 'publicExponent' : 'privateExponent'] = new Math_BigInteger($this->_string_shift($key, $length), -256); + + return $components; + } + if (ord($this->_string_shift($key)) != CRYPT_RSA_ASN1_INTEGER) { + return false; + } + $length = $this->_decodeLength($key); + $components['modulus'] = new Math_BigInteger($this->_string_shift($key, $length), -256); + $this->_string_shift($key); + $length = $this->_decodeLength($key); + $components['publicExponent'] = new Math_BigInteger($this->_string_shift($key, $length), -256); + $this->_string_shift($key); + $length = $this->_decodeLength($key); + $components['privateExponent'] = new Math_BigInteger($this->_string_shift($key, $length), -256); + $this->_string_shift($key); + $length = $this->_decodeLength($key); + $components['primes'] = array(1 => new Math_BigInteger($this->_string_shift($key, $length), -256)); + $this->_string_shift($key); + $length = $this->_decodeLength($key); + $components['primes'][] = new Math_BigInteger($this->_string_shift($key, $length), -256); + $this->_string_shift($key); + $length = $this->_decodeLength($key); + $components['exponents'] = array(1 => new Math_BigInteger($this->_string_shift($key, $length), -256)); + $this->_string_shift($key); + $length = $this->_decodeLength($key); + $components['exponents'][] = new Math_BigInteger($this->_string_shift($key, $length), -256); + $this->_string_shift($key); + $length = $this->_decodeLength($key); + $components['coefficients'] = array(2 => new Math_BigInteger($this->_string_shift($key, $length), -256)); + + if (!empty($key)) { + if (ord($this->_string_shift($key)) != CRYPT_RSA_ASN1_SEQUENCE) { + return false; + } + $this->_decodeLength($key); + while (!empty($key)) { + if (ord($this->_string_shift($key)) != CRYPT_RSA_ASN1_SEQUENCE) { + return false; + } + $this->_decodeLength($key); + $key = substr($key, 1); + $length = $this->_decodeLength($key); + $components['primes'][] = new Math_BigInteger($this->_string_shift($key, $length), -256); + $this->_string_shift($key); + $length = $this->_decodeLength($key); + $components['exponents'][] = new Math_BigInteger($this->_string_shift($key, $length), -256); + $this->_string_shift($key); + $length = $this->_decodeLength($key); + $components['coefficients'][] = new Math_BigInteger($this->_string_shift($key, $length), -256); + } + } + + return $components; + case CRYPT_RSA_PUBLIC_FORMAT_OPENSSH: + $key = base64_decode(preg_replace('#^ssh-rsa | .+$#', '', $key)); + if ($key === false) { + return false; + } + + $cleanup = substr($key, 0, 11) == "\0\0\0\7ssh-rsa"; + + extract(unpack('Nlength', $this->_string_shift($key, 4))); + $publicExponent = new Math_BigInteger($this->_string_shift($key, $length), -256); + extract(unpack('Nlength', $this->_string_shift($key, 4))); + $modulus = new Math_BigInteger($this->_string_shift($key, $length), -256); + + if ($cleanup && strlen($key)) { + extract(unpack('Nlength', $this->_string_shift($key, 4))); + return array( + 'modulus' => new Math_BigInteger($this->_string_shift($key, $length), -256), + 'publicExponent' => $modulus + ); + } else { + return array( + 'modulus' => $modulus, + 'publicExponent' => $publicExponent + ); + } + } + } + + /** + * Loads a public or private key + * + * Returns true on success and false on failure (ie. an incorrect password was provided or the key was malformed) + * + * @access public + * @param String $key + * @param Integer $type optional + */ + function loadKey($key, $type = CRYPT_RSA_PRIVATE_FORMAT_PKCS1) + { + $components = $this->_parseKey($key, $type); + if ($components === false) { + return false; + } + + $this->modulus = $components['modulus']; + $this->k = strlen($this->modulus->toBytes()); + $this->exponent = isset($components['privateExponent']) ? $components['privateExponent'] : $components['publicExponent']; + if (isset($components['primes'])) { + $this->primes = $components['primes']; + $this->exponents = $components['exponents']; + $this->coefficients = $components['coefficients']; + $this->publicExponent = $components['publicExponent']; + } else { + $this->primes = array(); + $this->exponents = array(); + $this->coefficients = array(); + $this->publicExponent = false; + } + + return true; + } + + /** + * Sets the password + * + * Private keys can be encrypted with a password. To unset the password, pass in the empty string or false. + * Or rather, pass in $password such that empty($password) is true. + * + * @see createKey() + * @see loadKey() + * @access public + * @param String $password + */ + function setPassword($password) + { + $this->password = $password; + } + + /** + * Defines the public key + * + * Some private key formats define the public exponent and some don't. Those that don't define it are problematic when + * used in certain contexts. For example, in SSH-2, RSA authentication works by sending the public key along with a + * message signed by the private key to the server. The SSH-2 server looks the public key up in an index of public keys + * and if it's present then proceeds to verify the signature. Problem is, if your private key doesn't include the public + * exponent this won't work unless you manually add the public exponent. + * + * Do note that when a new key is loaded the index will be cleared. + * + * Returns true on success, false on failure + * + * @see getPublicKey() + * @access public + * @param String $key + * @param Integer $type optional + * @return Boolean + */ + function setPublicKey($key, $type = CRYPT_RSA_PUBLIC_FORMAT_PKCS1) + { + $components = $this->_parseKey($key, $type); + if (empty($this->modulus) || !$this->modulus->equals($components['modulus'])) { + return false; + } + $this->publicExponent = $components['publicExponent']; + } + + /** + * Returns the public key + * + * The public key is only returned under two circumstances - if the private key had the public key embedded within it + * or if the public key was set via setPublicKey(). If the currently loaded key is supposed to be the public key this + * function won't return it since this library, for the most part, doesn't distinguish between public and private keys. + * + * @see getPublicKey() + * @access public + * @param String $key + * @param Integer $type optional + */ + function getPublicKey($type = CRYPT_RSA_PUBLIC_FORMAT_PKCS1) + { + if (empty($this->modulus) || empty($this->publicExponent)) { + return false; + } + + $oldFormat = $this->publicKeyFormat; + $this->publicKeyFormat = $type; + $temp = $this->_convertPublicKey($this->modulus, $this->publicExponent); + $this->publicKeyFormat = $oldFormat; + return $temp; + } + + /** + * Generates the smallest and largest numbers requiring $bits bits + * + * @access private + * @param Integer $bits + * @return Array + */ + function _generateMinMax($bits) + { + $bytes = $bits >> 3; + $min = str_repeat(chr(0), $bytes); + $max = str_repeat(chr(0xFF), $bytes); + $msb = $bits & 7; + if ($msb) { + $min = chr(1 << ($msb - 1)) . $min; + $max = chr((1 << $msb) - 1) . $max; + } else { + $min[0] = chr(0x80); + } + + return array( + 'min' => new Math_BigInteger($min, 256), + 'max' => new Math_BigInteger($max, 256) + ); + } + + /** + * DER-decode the length + * + * DER supports lengths up to (2**8)**127, however, we'll only support lengths up to (2**8)**4. See + * {@link http://itu.int/ITU-T/studygroups/com17/languages/X.690-0207.pdf#p=13 X.690 § 8.1.3} for more information. + * + * @access private + * @param String $string + * @return Integer + */ + function _decodeLength(&$string) + { + $length = ord($this->_string_shift($string)); + if ( $length & 0x80 ) { // definite length, long form + $length&= 0x7F; + $temp = $this->_string_shift($string, $length); + list(, $length) = unpack('N', substr(str_pad($temp, 4, chr(0), STR_PAD_LEFT), -4)); + } + return $length; + } + + /** + * DER-encode the length + * + * DER supports lengths up to (2**8)**127, however, we'll only support lengths up to (2**8)**4. See + * {@link http://itu.int/ITU-T/studygroups/com17/languages/X.690-0207.pdf#p=13 X.690 § 8.1.3} for more information. + * + * @access private + * @param Integer $length + * @return String + */ + function _encodeLength($length) + { + if ($length <= 0x7F) { + return chr($length); + } + + $temp = ltrim(pack('N', $length), chr(0)); + return pack('Ca*', 0x80 | strlen($temp), $temp); + } + + /** + * 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; + } + + /** + * Determines the private key format + * + * @see createKey() + * @access public + * @param Integer $format + */ + function setPrivateKeyFormat($format) + { + $this->privateKeyFormat = $format; + } + + /** + * Determines the public key format + * + * @see createKey() + * @access public + * @param Integer $format + */ + function setPublicKeyFormat($format) + { + $this->publicKeyFormat = $format; + } + + /** + * Determines which hashing function should be used + * + * Used with signature production / verification and (if the encryption mode is CRYPT_RSA_ENCRYPTION_OAEP) encryption and + * decryption. If $hash isn't supported, sha1 is used. + * + * @access public + * @param String $hash + */ + function setHash($hash) + { + // Crypt_Hash supports algorithms that PKCS#1 doesn't support. md5-96 and sha1-96, for example. + switch ($hash) { + case 'md2': + case 'md5': + case 'sha1': + case 'sha256': + case 'sha384': + case 'sha512': + $this->hash = new Crypt_Hash($hash); + $this->hashName = $hash; + break; + default: + $this->hash = new Crypt_Hash('sha1'); + $this->hashName = 'sha1'; + } + $this->hLen = $this->hash->getLength(); + } + + /** + * Determines which hashing function should be used for the mask generation function + * + * The mask generation function is used by CRYPT_RSA_ENCRYPTION_OAEP and CRYPT_RSA_SIGNATURE_PSS and although it's + * best if Hash and MGFHash are set to the same thing this is not a requirement. + * + * @access public + * @param String $hash + */ + function setMGFHash($hash) + { + // Crypt_Hash supports algorithms that PKCS#1 doesn't support. md5-96 and sha1-96, for example. + switch ($hash) { + case 'md2': + case 'md5': + case 'sha1': + case 'sha256': + case 'sha384': + case 'sha512': + $this->mgfHash = new Crypt_Hash($hash); + break; + default: + $this->mgfHash = new Crypt_Hash('sha1'); + } + $this->mgfHLen = $this->mgfHash->getLength(); + } + + /** + * Determines the salt length + * + * To quote from {@link http://tools.ietf.org/html/rfc3447#page-38 RFC3447#page-38}: + * + * Typical salt lengths in octets are hLen (the length of the output + * of the hash function Hash) and 0. + * + * @access public + * @param Integer $format + */ + function setSaltLength($sLen) + { + $this->sLen = $sLen; + } + + /** + * Generates a random string x bytes long + * + * @access public + * @param Integer $bytes + * @param optional Integer $nonzero + * @return String + */ + function _random($bytes, $nonzero = false) + { + $temp = ''; + if ($nonzero) { + for ($i = 0; $i < $bytes; $i++) { + $temp.= chr(crypt_random(1, 255)); + } + } else { + $ints = ($bytes + 1) >> 2; + for ($i = 0; $i < $ints; $i++) { + $temp.= pack('N', crypt_random()); + } + $temp = substr($temp, 0, $bytes); + } + return $temp; + } + + /** + * Integer-to-Octet-String primitive + * + * See {@link http://tools.ietf.org/html/rfc3447#section-4.1 RFC3447#section-4.1}. + * + * @access private + * @param Math_BigInteger $x + * @param Integer $xLen + * @return String + */ + function _i2osp($x, $xLen) + { + $x = $x->toBytes(); + if (strlen($x) > $xLen) { + user_error('Integer too large', E_USER_NOTICE); + return false; + } + return str_pad($x, $xLen, chr(0), STR_PAD_LEFT); + } + + /** + * Octet-String-to-Integer primitive + * + * See {@link http://tools.ietf.org/html/rfc3447#section-4.2 RFC3447#section-4.2}. + * + * @access private + * @param String $x + * @return Math_BigInteger + */ + function _os2ip($x) + { + return new Math_BigInteger($x, 256); + } + + /** + * Exponentiate with or without Chinese Remainder Theorem + * + * See {@link http://tools.ietf.org/html/rfc3447#section-5.1.1 RFC3447#section-5.1.2}. + * + * @access private + * @param Math_BigInteger $x + * @return Math_BigInteger + */ + function _exponentiate($x) + { + if (empty($this->primes) || empty($this->coefficients) || empty($this->exponents)) { + return $x->modPow($this->exponent, $this->modulus); + } + + $num_primes = count($this->primes); + + if (defined('CRYPT_RSA_DISABLE_BLINDING')) { + $m_i = array( + 1 => $x->modPow($this->exponents[1], $this->primes[1]), + 2 => $x->modPow($this->exponents[2], $this->primes[2]) + ); + $h = $m_i[1]->subtract($m_i[2]); + $h = $h->multiply($this->coefficients[2]); + list(, $h) = $h->divide($this->primes[1]); + $m = $m_i[2]->add($h->multiply($this->primes[2])); + + $r = $this->primes[1]; + for ($i = 3; $i <= $num_primes; $i++) { + $m_i = $x->modPow($this->exponents[$i], $this->primes[$i]); + + $r = $r->multiply($this->primes[$i - 1]); + + $h = $m_i->subtract($m); + $h = $h->multiply($this->coefficients[$i]); + list(, $h) = $h->divide($this->primes[$i]); + + $m = $m->add($r->multiply($h)); + } + } else { + $smallest = $this->primes[1]; + for ($i = 2; $i <= $num_primes; $i++) { + if ($smallest->compare($this->primes[$i]) > 0) { + $smallest = $this->primes[$i]; + } + } + + $one = new Math_BigInteger(1); + $one->setRandomGenerator('crypt_random'); + + $r = $one->random($one, $smallest->subtract($one)); + + $m_i = array( + 1 => $this->_blind($x, $r, 1), + 2 => $this->_blind($x, $r, 2) + ); + $h = $m_i[1]->subtract($m_i[2]); + $h = $h->multiply($this->coefficients[2]); + list(, $h) = $h->divide($this->primes[1]); + $m = $m_i[2]->add($h->multiply($this->primes[2])); + + $r = $this->primes[1]; + for ($i = 3; $i <= $num_primes; $i++) { + $m_i = $this->_blind($x, $r, $i); + + $r = $r->multiply($this->primes[$i - 1]); + + $h = $m_i->subtract($m); + $h = $h->multiply($this->coefficients[$i]); + list(, $h) = $h->divide($this->primes[$i]); + + $m = $m->add($r->multiply($h)); + } + } + + return $m; + } + + /** + * Performs RSA Blinding + * + * Protects against timing attacks by employing RSA Blinding. + * Returns $x->modPow($this->exponents[$i], $this->primes[$i]) + * + * @access private + * @param Math_BigInteger $x + * @param Math_BigInteger $r + * @param Integer $i + * @return Math_BigInteger + */ + function _blind($x, $r, $i) + { + $x = $x->multiply($r->modPow($this->publicExponent, $this->primes[$i])); + + $x = $x->modPow($this->exponents[$i], $this->primes[$i]); + + $r = $r->modInverse($this->primes[$i]); + $x = $x->multiply($r); + list(, $x) = $x->divide($this->primes[$i]); + + return $x; + } + + /** + * RSAEP + * + * See {@link http://tools.ietf.org/html/rfc3447#section-5.1.1 RFC3447#section-5.1.1}. + * + * @access private + * @param Math_BigInteger $m + * @return Math_BigInteger + */ + function _rsaep($m) + { + if ($m->compare($this->zero) < 0 || $m->compare($this->modulus) > 0) { + user_error('Message representative out of range', E_USER_NOTICE); + return false; + } + return $this->_exponentiate($m); + } + + /** + * RSADP + * + * See {@link http://tools.ietf.org/html/rfc3447#section-5.1.2 RFC3447#section-5.1.2}. + * + * @access private + * @param Math_BigInteger $c + * @return Math_BigInteger + */ + function _rsadp($c) + { + if ($c->compare($this->zero) < 0 || $c->compare($this->modulus) > 0) { + user_error('Ciphertext representative out of range', E_USER_NOTICE); + return false; + } + return $this->_exponentiate($c); + } + + /** + * RSASP1 + * + * See {@link http://tools.ietf.org/html/rfc3447#section-5.2.1 RFC3447#section-5.2.1}. + * + * @access private + * @param Math_BigInteger $m + * @return Math_BigInteger + */ + function _rsasp1($m) + { + if ($m->compare($this->zero) < 0 || $m->compare($this->modulus) > 0) { + user_error('Message representative out of range', E_USER_NOTICE); + return false; + } + return $this->_exponentiate($m); + } + + /** + * RSAVP1 + * + * See {@link http://tools.ietf.org/html/rfc3447#section-5.2.2 RFC3447#section-5.2.2}. + * + * @access private + * @param Math_BigInteger $s + * @return Math_BigInteger + */ + function _rsavp1($s) + { + if ($s->compare($this->zero) < 0 || $s->compare($this->modulus) > 0) { + user_error('Signature representative out of range', E_USER_NOTICE); + return false; + } + return $this->_exponentiate($s); + } + + /** + * MGF1 + * + * See {@link http://tools.ietf.org/html/rfc3447#appendix-B.2.1 RFC3447#appendix-B.2.1}. + * + * @access private + * @param String $mgfSeed + * @param Integer $mgfLen + * @return String + */ + function _mgf1($mgfSeed, $maskLen) + { + // if $maskLen would yield strings larger than 4GB, PKCS#1 suggests a "Mask too long" error be output. + + $t = ''; + $count = ceil($maskLen / $this->mgfHLen); + for ($i = 0; $i < $count; $i++) { + $c = pack('N', $i); + $t.= $this->mgfHash->hash($mgfSeed . $c); + } + + return substr($t, 0, $maskLen); + } + + /** + * RSAES-OAEP-ENCRYPT + * + * See {@link http://tools.ietf.org/html/rfc3447#section-7.1.1 RFC3447#section-7.1.1} and + * {http://en.wikipedia.org/wiki/Optimal_Asymmetric_Encryption_Padding OAES}. + * + * @access private + * @param String $m + * @param String $l + * @return String + */ + function _rsaes_oaep_encrypt($m, $l = '') + { + $mLen = strlen($m); + + // Length checking + + // if $l is larger than two million terrabytes and you're using sha1, PKCS#1 suggests a "Label too long" error + // be output. + + if ($mLen > $this->k - 2 * $this->hLen - 2) { + user_error('Message too long', E_USER_NOTICE); + return false; + } + + // EME-OAEP encoding + + $lHash = $this->hash->hash($l); + $ps = str_repeat(chr(0), $this->k - $mLen - 2 * $this->hLen - 2); + $db = $lHash . $ps . chr(1) . $m; + $seed = $this->_random($this->hLen); + $dbMask = $this->_mgf1($seed, $this->k - $this->hLen - 1); + $maskedDB = $db ^ $dbMask; + $seedMask = $this->_mgf1($maskedDB, $this->hLen); + $maskedSeed = $seed ^ $seedMask; + $em = chr(0) . $maskedSeed . $maskedDB; + + // RSA encryption + + $m = $this->_os2ip($em); + $c = $this->_rsaep($m); + $c = $this->_i2osp($c, $this->k); + + // Output the ciphertext C + + return $c; + } + + /** + * RSAES-OAEP-DECRYPT + * + * See {@link http://tools.ietf.org/html/rfc3447#section-7.1.2 RFC3447#section-7.1.2}. The fact that the error + * messages aren't distinguishable from one another hinders debugging, but, to quote from RFC3447#section-7.1.2: + * + * Note. Care must be taken to ensure that an opponent cannot + * distinguish the different error conditions in Step 3.g, whether by + * error message or timing, or, more generally, learn partial + * information about the encoded message EM. Otherwise an opponent may + * be able to obtain useful information about the decryption of the + * ciphertext C, leading to a chosen-ciphertext attack such as the one + * observed by Manger [36]. + * + * As for $l... to quote from {@link http://tools.ietf.org/html/rfc3447#page-17 RFC3447#page-17}: + * + * Both the encryption and the decryption operations of RSAES-OAEP take + * the value of a label L as input. In this version of PKCS #1, L is + * the empty string; other uses of the label are outside the scope of + * this document. + * + * @access private + * @param String $c + * @param String $l + * @return String + */ + function _rsaes_oaep_decrypt($c, $l = '') + { + // Length checking + + // if $l is larger than two million terrabytes and you're using sha1, PKCS#1 suggests a "Label too long" error + // be output. + + if (strlen($c) != $this->k || $this->k < 2 * $this->hLen + 2) { + user_error('Decryption error', E_USER_NOTICE); + return false; + } + + // RSA decryption + + $c = $this->_os2ip($c); + $m = $this->_rsadp($c); + if ($m === false) { + user_error('Decryption error', E_USER_NOTICE); + return false; + } + $em = $this->_i2osp($m, $this->k); + + // EME-OAEP decoding + + $lHash = $this->hash->hash($l); + $y = ord($em[0]); + $maskedSeed = substr($em, 1, $this->hLen); + $maskedDB = substr($em, $this->hLen + 1); + $seedMask = $this->_mgf1($maskedDB, $this->hLen); + $seed = $maskedSeed ^ $seedMask; + $dbMask = $this->_mgf1($seed, $this->k - $this->hLen - 1); + $db = $maskedDB ^ $dbMask; + $lHash2 = substr($db, 0, $this->hLen); + $m = substr($db, $this->hLen); + if ($lHash != $lHash2) { + user_error('Decryption error', E_USER_NOTICE); + return false; + } + $m = ltrim($m, chr(0)); + if (ord($m[0]) != 1) { + user_error('Decryption error', E_USER_NOTICE); + return false; + } + + // Output the message M + + return substr($m, 1); + } + + /** + * RSAES-PKCS1-V1_5-ENCRYPT + * + * See {@link http://tools.ietf.org/html/rfc3447#section-7.2.1 RFC3447#section-7.2.1}. + * + * @access private + * @param String $m + * @return String + */ + function _rsaes_pkcs1_v1_5_encrypt($m) + { + $mLen = strlen($m); + + // Length checking + + if ($mLen > $this->k - 11) { + user_error('Message too long', E_USER_NOTICE); + return false; + } + + // EME-PKCS1-v1_5 encoding + + $ps = $this->_random($this->k - $mLen - 3, true); + $em = chr(0) . chr(2) . $ps . chr(0) . $m; + + // RSA encryption + $m = $this->_os2ip($em); + $c = $this->_rsaep($m); + $c = $this->_i2osp($c, $this->k); + + // Output the ciphertext C + + return $c; + } + + /** + * RSAES-PKCS1-V1_5-DECRYPT + * + * See {@link http://tools.ietf.org/html/rfc3447#section-7.2.2 RFC3447#section-7.2.2}. + * + * @access private + * @param String $c + * @return String + */ + function _rsaes_pkcs1_v1_5_decrypt($c) + { + // Length checking + + if (strlen($c) != $this->k) { // or if k < 11 + user_error('Decryption error', E_USER_NOTICE); + return false; + } + + // RSA decryption + + $c = $this->_os2ip($c); + $m = $this->_rsadp($c); + if ($m === false) { + user_error('Decryption error', E_USER_NOTICE); + return false; + } + $em = $this->_i2osp($m, $this->k); + + // EME-PKCS1-v1_5 decoding + + if (ord($em[0]) != 0 || ord($em[1]) != 2) { + user_error('Decryption error', E_USER_NOTICE); + return false; + } + + $ps = substr($em, 2, strpos($em, chr(0), 2) - 2); + $m = substr($em, strlen($ps) + 3); + + if (strlen($ps) < 8) { + user_error('Decryption error', E_USER_NOTICE); + return false; + } + + // Output M + + return $m; + } + + /** + * EMSA-PSS-ENCODE + * + * See {@link http://tools.ietf.org/html/rfc3447#section-9.1.1 RFC3447#section-9.1.1}. + * + * @access private + * @param String $m + * @param Integer $emBits + */ + function _emsa_pss_encode($m, $emBits) + { + // if $m is larger than two million terrabytes and you're using sha1, PKCS#1 suggests a "Label too long" error + // be output. + + $emLen = ($emBits + 1) >> 3; // ie. ceil($emBits / 8) + $sLen = $this->sLen == false ? $this->hLen : $this->sLen; + + $mHash = $this->hash->hash($m); + if ($emLen < $this->hLen + $sLen + 2) { + user_error('Encoding error', E_USER_NOTICE); + return false; + } + + $salt = $this->_random($sLen); + $m2 = "\0\0\0\0\0\0\0\0" . $mHash . $salt; + $h = $this->hash->hash($m2); + $ps = str_repeat(chr(0), $emLen - $sLen - $this->hLen - 2); + $db = $ps . chr(1) . $salt; + $dbMask = $this->_mgf1($h, $emLen - $this->hLen - 1); + $maskedDB = $db ^ $dbMask; + $maskedDB[0] = ~chr(0xFF << ($emBits & 7)) & $maskedDB[0]; + $em = $maskedDB . $h . chr(0xBC); + + return $em; + } + + /** + * EMSA-PSS-VERIFY + * + * See {@link http://tools.ietf.org/html/rfc3447#section-9.1.2 RFC3447#section-9.1.2}. + * + * @access private + * @param String $m + * @param String $em + * @param Integer $emBits + * @return String + */ + function _emsa_pss_verify($m, $em, $emBits) + { + // if $m is larger than two million terrabytes and you're using sha1, PKCS#1 suggests a "Label too long" error + // be output. + + $emLen = ($emBits + 1) >> 3; // ie. ceil($emBits / 8); + $sLen = $this->sLen == false ? $this->hLen : $this->sLen; + + $mHash = $this->hash->hash($m); + if ($emLen < $this->hLen + $sLen + 2) { + return false; + } + + if ($em[strlen($em) - 1] != chr(0xBC)) { + return false; + } + + $maskedDB = substr($em, 0, $em - $this->hLen - 1); + $h = substr($em, $em - $this->hLen - 1, $this->hLen); + $temp = chr(0xFF << ($emBits & 7)); + if ((~$maskedDB[0] & $temp) != $temp) { + return false; + } + $dbMask = $this->_mgf1($h, $emLen - $this->hLen - 1); + $db = $maskedDB ^ $dbMask; + $db[0] = ~chr(0xFF << ($emBits & 7)) & $db[0]; + $temp = $emLen - $this->hLen - $sLen - 2; + if (substr($db, 0, $temp) != str_repeat(chr(0), $temp) || ord($db[$temp]) != 1) { + return false; + } + $salt = substr($db, $temp + 1); // should be $sLen long + $m2 = "\0\0\0\0\0\0\0\0" . $mHash . $salt; + $h2 = $this->hash->hash($m2); + return $h == $h2; + } + + /** + * RSASSA-PSS-SIGN + * + * See {@link http://tools.ietf.org/html/rfc3447#section-8.1.1 RFC3447#section-8.1.1}. + * + * @access private + * @param String $m + * @return String + */ + function _rsassa_pss_sign($m) + { + // EMSA-PSS encoding + + $em = $this->_emsa_pss_encode($m, 8 * $this->k - 1); + + // RSA signature + + $m = $this->_os2ip($em); + $s = $this->_rsasp1($m); + $s = $this->_i2osp($s, $this->k); + + // Output the signature S + + return $s; + } + + /** + * RSASSA-PSS-VERIFY + * + * See {@link http://tools.ietf.org/html/rfc3447#section-8.1.2 RFC3447#section-8.1.2}. + * + * @access private + * @param String $m + * @param String $s + * @return String + */ + function _rsassa_pss_verify($m, $s) + { + // Length checking + + if (strlen($s) != $this->k) { + user_error('Invalid signature', E_USER_NOTICE); + return false; + } + + // RSA verification + + $modBits = 8 * $this->k; + + $s2 = $this->_os2ip($s); + $m2 = $this->_rsavp1($s2); + if ($m2 === false) { + user_error('Invalid signature', E_USER_NOTICE); + return false; + } + $em = $this->_i2osp($m2, $modBits >> 3); + if ($em === false) { + user_error('Invalid signature', E_USER_NOTICE); + return false; + } + + // EMSA-PSS verification + + return $this->_emsa_pss_verify($m, $em, $modBits - 1); + } + + /** + * EMSA-PKCS1-V1_5-ENCODE + * + * See {@link http://tools.ietf.org/html/rfc3447#section-9.2 RFC3447#section-9.2}. + * + * @access private + * @param String $m + * @param Integer $emLen + * @return String + */ + function _emsa_pkcs1_v1_5_encode($m, $emLen) + { + $h = $this->hash->hash($m); + if ($h === false) { + return false; + } + + // see http://tools.ietf.org/html/rfc3447#page-43 + switch ($this->hashName) { + case 'md2': + $t = pack('H*', '3020300c06082a864886f70d020205000410'); + break; + case 'md5': + $t = pack('H*', '3020300c06082a864886f70d020505000410'); + break; + case 'sha1': + $t = pack('H*', '3021300906052b0e03021a05000414'); + break; + case 'sha256': + $t = pack('H*', '3031300d060960864801650304020105000420'); + break; + case 'sha384': + $t = pack('H*', '3041300d060960864801650304020205000430'); + break; + case 'sha512': + $t = pack('H*', '3051300d060960864801650304020305000440'); + } + $t.= $h; + $tLen = strlen($t); + + if ($emLen < $tLen + 11) { + user_error('Intended encoded message length too short', E_USER_NOTICE); + return false; + } + + $ps = str_repeat(chr(0xFF), $emLen - $tLen - 3); + + $em = "\0\1$ps\0$t"; + + return $em; + } + + /** + * RSASSA-PKCS1-V1_5-SIGN + * + * See {@link http://tools.ietf.org/html/rfc3447#section-8.2.1 RFC3447#section-8.2.1}. + * + * @access private + * @param String $m + * @return String + */ + function _rsassa_pkcs1_v1_5_sign($m) + { + // EMSA-PKCS1-v1_5 encoding + + $em = $this->_emsa_pkcs1_v1_5_encode($m, $this->k); + if ($em === false) { + user_error('RSA modulus too short', E_USER_NOTICE); + return false; + } + + // RSA signature + + $m = $this->_os2ip($em); + $s = $this->_rsasp1($m); + $s = $this->_i2osp($s, $this->k); + + // Output the signature S + + return $s; + } + + /** + * RSASSA-PKCS1-V1_5-VERIFY + * + * See {@link http://tools.ietf.org/html/rfc3447#section-8.2.2 RFC3447#section-8.2.2}. + * + * @access private + * @param String $m + * @return String + */ + function _rsassa_pkcs1_v1_5_verify($m, $s) + { + // Length checking + + if (strlen($s) != $this->k) { + user_error('Invalid signature', E_USER_NOTICE); + return false; + } + + // RSA verification + + $s = $this->_os2ip($s); + $m2 = $this->_rsavp1($s); + if ($m2 === false) { + user_error('Invalid signature', E_USER_NOTICE); + return false; + } + $em = $this->_i2osp($m2, $this->k); + if ($em === false) { + user_error('Invalid signature', E_USER_NOTICE); + return false; + } + + // EMSA-PKCS1-v1_5 encoding + + $em2 = $this->_emsa_pkcs1_v1_5_encode($m, $this->k); + if ($em2 === false) { + user_error('RSA modulus too short', E_USER_NOTICE); + return false; + } + + // Compare + + return $em === $em2; + } + + /** + * Set Encryption Mode + * + * Valid values include CRYPT_RSA_ENCRYPTION_OAEP and CRYPT_RSA_ENCRYPTION_PKCS1. + * + * @access public + * @param Integer $mode + */ + function setEncryptionMode($mode) + { + $this->encryptionMode = $mode; + } + + /** + * Set Signature Mode + * + * Valid values include CRYPT_RSA_SIGNATURE_PSS and CRYPT_RSA_SIGNATURE_PKCS1 + * + * @access public + * @param Integer $mode + */ + function setSignatureMode($mode) + { + $this->signatureMode = $mode; + } + + /** + * Encryption + * + * Both CRYPT_RSA_ENCRYPTION_OAEP and CRYPT_RSA_ENCRYPTION_PKCS1 both place limits on how long $plaintext can be. + * If $plaintext exceeds those limits it will be broken up so that it does and the resultant ciphertext's will + * be concatenated together. + * + * @see decrypt() + * @access public + * @param String $plaintext + * @return String + */ + function encrypt($plaintext) + { + switch ($this->encryptionMode) { + case CRYPT_RSA_ENCRYPTION_PKCS1: + $length = $this->k - 11; + if ($length <= 0) { + return false; + } + + $plaintext = str_split($plaintext, $length); + $ciphertext = ''; + foreach ($plaintext as $m) { + $ciphertext.= $this->_rsaes_pkcs1_v1_5_encrypt($m); + } + return $ciphertext; + //case CRYPT_RSA_ENCRYPTION_OAEP: + default: + $length = $this->k - 2 * $this->hLen - 2; + if ($length <= 0) { + return false; + } + + $plaintext = str_split($plaintext, $length); + $ciphertext = ''; + foreach ($plaintext as $m) { + $ciphertext.= $this->_rsaes_oaep_encrypt($m); + } + return $ciphertext; + } + } + + /** + * Decryption + * + * @see encrypt() + * @access public + * @param String $plaintext + * @return String + */ + function decrypt($ciphertext) + { + if ($this->k <= 0) { + return false; + } + + $ciphertext = str_split($ciphertext, $this->k); + $plaintext = ''; + + switch ($this->encryptionMode) { + case CRYPT_RSA_ENCRYPTION_PKCS1: + $decrypt = '_rsaes_pkcs1_v1_5_decrypt'; + break; + //case CRYPT_RSA_ENCRYPTION_OAEP: + default: + $decrypt = '_rsaes_oaep_decrypt'; + } + + foreach ($ciphertext as $c) { + $temp = $this->$decrypt($c); + if ($temp === false) { + return false; + } + $plaintext.= $temp; + } + + return $plaintext; + } + + /** + * Create a signature + * + * @see verify() + * @access public + * @param String $message + * @return String + */ + function sign($message) + { + if (empty($this->modulus) || empty($this->exponent)) { + return false; + } + + switch ($this->signatureMode) { + case CRYPT_RSA_SIGNATURE_PKCS1: + return $this->_rsassa_pkcs1_v1_5_sign($message); + //case CRYPT_RSA_SIGNATURE_PSS: + default: + return $this->_rsassa_pss_sign($message); + } + } + + /** + * Verifies a signature + * + * @see sign() + * @access public + * @param String $message + * @param String $signature + * @return Boolean + */ + function verify($message, $signature) + { + if (empty($this->modulus) || empty($this->exponent)) { + return false; + } + + switch ($this->signatureMode) { + case CRYPT_RSA_SIGNATURE_PKCS1: + return $this->_rsassa_pkcs1_v1_5_verify($message, $signature); + //case CRYPT_RSA_SIGNATURE_PSS: + default: + return $this->_rsassa_pss_verify($message, $signature); + } + } }
\ No newline at end of file diff --git a/plugins/OStatus/extlib/Crypt/Random.php b/plugins/OStatus/extlib/Crypt/Random.php index fbb41074e..bfc24ca62 100644 --- a/plugins/OStatus/extlib/Crypt/Random.php +++ b/plugins/OStatus/extlib/Crypt/Random.php @@ -1,70 +1,125 @@ -<?php
-/* vim: set expandtab tabstop=4 shiftwidth=4 softtabstop=4: */
-
-/**
- * Random Number Generator
- *
- * PHP versions 4 and 5
- *
- * Here's a short example of how to use this library:
- * <code>
- * <?php
- * include('Crypt/Random.php');
- *
- * echo crypt_random();
- * ?>
- * </code>
- *
- * LICENSE: This library is free software; you can redistribute it and/or
- * modify it under the terms of the GNU Lesser General Public
- * License as published by the Free Software Foundation; either
- * version 2.1 of the License, or (at your option) any later version.
- *
- * This library is distributed in the hope that it will be useful,
- * but WITHOUT ANY WARRANTY; without even the implied warranty of
- * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
- * Lesser General Public License for more details.
- *
- * You should have received a copy of the GNU Lesser General Public
- * License along with this library; if not, write to the Free Software
- * Foundation, Inc., 59 Temple Place, Suite 330, Boston,
- * MA 02111-1307 USA
- *
- * @category Crypt
- * @package Crypt_Random
- * @author Jim Wigginton <terrafrost@php.net>
- * @copyright MMVII Jim Wigginton
- * @license http://www.gnu.org/licenses/lgpl.txt
- * @version $Id: Random.php,v 1.4 2008/05/21 05:15:32 terrafrost Exp $
- * @link http://phpseclib.sourceforge.net
- */
-
-/**
- * Generate a random value. Feel free to replace this function with a cryptographically secure PRNG.
- *
- * @param optional Integer $min
- * @param optional Integer $max
- * @param optional String $randomness_path
- * @return Integer
- * @access public
- */
-function crypt_random($min = 0, $max = 0x7FFFFFFF, $randomness_path = '/dev/urandom')
-{
- static $seeded = false;
-
- if (!$seeded) {
- $seeded = true;
- if (file_exists($randomness_path)) {
- $fp = fopen($randomness_path, 'r');
- $temp = unpack('Nint', fread($fp, 4));
- mt_srand($temp['int']);
- fclose($fp);
- } else {
- list($sec, $usec) = explode(' ', microtime());
- mt_srand((float) $sec + ((float) $usec * 100000));
- }
- }
-
- return mt_rand($min, $max);
-}
+<?php +/* vim: set expandtab tabstop=4 shiftwidth=4 softtabstop=4: */ + +/** + * Random Number Generator + * + * PHP versions 4 and 5 + * + * Here's a short example of how to use this library: + * <code> + * <?php + * include('Crypt/Random.php'); + * + * echo crypt_random(); + * ?> + * </code> + * + * LICENSE: This library is free software; you can redistribute it and/or + * modify it under the terms of the GNU Lesser General Public + * License as published by the Free Software Foundation; either + * version 2.1 of the License, or (at your option) any later version. + * + * This library is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + * Lesser General Public License for more details. + * + * You should have received a copy of the GNU Lesser General Public + * License along with this library; if not, write to the Free Software + * Foundation, Inc., 59 Temple Place, Suite 330, Boston, + * MA 02111-1307 USA + * + * @category Crypt + * @package Crypt_Random + * @author Jim Wigginton <terrafrost@php.net> + * @copyright MMVII Jim Wigginton + * @license http://www.gnu.org/licenses/lgpl.txt + * @version $Id: Random.php,v 1.6 2010/02/28 05:28:38 terrafrost Exp $ + * @link http://phpseclib.sourceforge.net + */ + +/** + * Generate a random value. + * + * On 32-bit machines, the largest distance that can exist between $min and $max is 2**31. + * If $min and $max are farther apart than that then the last ($max - range) numbers. + * + * Depending on how this is being used, it may be worth while to write a replacement. For example, + * a PHP-based web app that stores its data in an SQL database can collect more entropy than this function + * can. + * + * @param optional Integer $min + * @param optional Integer $max + * @return Integer + * @access public + */ +function crypt_random($min = 0, $max = 0x7FFFFFFF) +{ + if ($min == $max) { + return $min; + } + + // see http://en.wikipedia.org/wiki//dev/random + if (file_exists('/dev/urandom')) { + $fp = fopen('/dev/urandom', 'rb'); + extract(unpack('Nrandom', fread($fp, 4))); + fclose($fp); + + // say $min = 0 and $max = 3. if we didn't do abs() then we could have stuff like this: + // -4 % 3 + 0 = -1, even though -1 < $min + return abs($random) % ($max - $min) + $min; + } + + /* Prior to PHP 4.2.0, mt_srand() had to be called before mt_rand() could be called. + Prior to PHP 5.2.6, mt_rand()'s automatic seeding was subpar, as elaborated here: + + http://www.suspekt.org/2008/08/17/mt_srand-and-not-so-random-numbers/ + + The seeding routine is pretty much ripped from PHP's own internal GENERATE_SEED() macro: + + http://svn.php.net/viewvc/php/php-src/branches/PHP_5_3_2/ext/standard/php_rand.h?view=markup */ + if (version_compare(PHP_VERSION, '5.2.5', '<=')) { + static $seeded; + if (!isset($seeded)) { + $seeded = true; + mt_srand(fmod(time() * getmypid(), 0x7FFFFFFF) ^ fmod(1000000 * lcg_value(), 0x7FFFFFFF)); + } + } + + static $crypto; + + // The CSPRNG's Yarrow and Fortuna periodically reseed. This function can be reseeded by hitting F5 + // in the browser and reloading the page. + + if (!isset($crypto)) { + $key = $iv = ''; + for ($i = 0; $i < 8; $i++) { + $key.= pack('n', mt_rand(0, 0xFFFF)); + $iv .= pack('n', mt_rand(0, 0xFFFF)); + } + switch (true) { + case class_exists('Crypt_AES'): + $crypto = new Crypt_AES(CRYPT_AES_MODE_CTR); + break; + case class_exists('Crypt_TripleDES'): + $crypto = new Crypt_TripleDES(CRYPT_DES_MODE_CTR); + break; + case class_exists('Crypt_DES'): + $crypto = new Crypt_DES(CRYPT_DES_MODE_CTR); + break; + case class_exists('Crypt_RC4'): + $crypto = new Crypt_RC4(); + break; + default: + extract(unpack('Nrandom', pack('H*', sha1(mt_rand(0, 0x7FFFFFFF))))); + return abs($random) % ($max - $min) + $min; + } + $crypto->setKey($key); + $crypto->setIV($iv); + } + + extract(unpack('Nrandom', $crypto->encrypt("\0\0\0\0"))); + return abs($random) % ($max - $min) + $min; +} ?>
\ No newline at end of file diff --git a/plugins/OStatus/extlib/Crypt/Rijndael.php b/plugins/OStatus/extlib/Crypt/Rijndael.php index 19bba83f3..3b5fd6a7d 100644 --- a/plugins/OStatus/extlib/Crypt/Rijndael.php +++ b/plugins/OStatus/extlib/Crypt/Rijndael.php @@ -1,1135 +1,1242 @@ -<?php
-/* vim: set expandtab tabstop=4 shiftwidth=4 softtabstop=4: */
-
-/**
- * Pure-PHP implementation of Rijndael.
- *
- * Does not use mcrypt, even when available, for reasons that are explained below.
- *
- * 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 160-bits and 160 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.
- *
- * {@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: This library is free software; you can redistribute it and/or
- * modify it under the terms of the GNU Lesser General Public
- * License as published by the Free Software Foundation; either
- * version 2.1 of the License, or (at your option) any later version.
- *
- * This library is distributed in the hope that it will be useful,
- * but WITHOUT ANY WARRANTY; without even the implied warranty of
- * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
- * Lesser General Public License for more details.
- *
- * You should have received a copy of the GNU Lesser General Public
- * License along with this library; if not, write to the Free Software
- * Foundation, Inc., 59 Temple Place, Suite 330, Boston,
- * MA 02111-1307 USA
- *
- * @category Crypt
- * @package Crypt_Rijndael
- * @author Jim Wigginton <terrafrost@php.net>
- * @copyright MMVIII Jim Wigginton
- * @license http://www.gnu.org/licenses/lgpl.txt
- * @version $Id: Rijndael.php,v 1.8 2009/11/23 19:06:07 terrafrost Exp $
- * @link http://phpseclib.sourceforge.net
- */
-
-/**#@+
- * @access public
- * @see Crypt_Rijndael::encrypt()
- * @see Crypt_Rijndael::decrypt()
- */
-/**
- * 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', 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_RIJNDAEL_MODE_CBC', 2);
-/**#@-*/
-
-/**#@+
- * @access private
- * @see Crypt_Rijndael::Crypt_Rijndael()
- */
-/**
- * Toggles the internal implementation
- */
-define('CRYPT_RIJNDAEL_MODE_INTERNAL', 1);
-/**
- * Toggles the mcrypt implementation
- */
-define('CRYPT_RIJNDAEL_MODE_MCRYPT', 2);
-/**#@-*/
-
-/**
- * Pure-PHP implementation of Rijndael.
- *
- * @author Jim Wigginton <terrafrost@php.net>
- * @version 0.1.0
- * @access public
- * @package Crypt_Rijndael
- */
-class Crypt_Rijndael {
- /**
- * The Encryption Mode
- *
- * @see Crypt_Rijndael::Crypt_Rijndael()
- * @var Integer
- * @access private
- */
- var $mode;
-
- /**
- * The Key
- *
- * @see Crypt_Rijndael::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_Rijndael::setIV()
- * @var String
- * @access private
- */
- var $iv = '';
-
- /**
- * A "sliding" Initialization Vector
- *
- * @see Crypt_Rijndael::enableContinuousBuffer()
- * @var String
- * @access private
- */
- var $encryptIV = '';
-
- /**
- * A "sliding" Initialization Vector
- *
- * @see Crypt_Rijndael::enableContinuousBuffer()
- * @var String
- * @access private
- */
- var $decryptIV = '';
-
- /**
- * Continuous Buffer status
- *
- * @see Crypt_Rijndael::enableContinuousBuffer()
- * @var Boolean
- * @access private
- */
- var $continuousBuffer = false;
-
- /**
- * Padding status
- *
- * @see Crypt_Rijndael::enablePadding()
- * @var Boolean
- * @access private
- */
- var $padding = true;
-
- /**
- * Does the key schedule need to be (re)calculated?
- *
- * @see setKey()
- * @see setBlockLength()
- * @see setKeyLength()
- * @var Boolean
- * @access private
- */
- var $changed = true;
-
- /**
- * 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
- *
- * @see setBlockLength()
- * @var Integer
- * @access private
- * @internal The max value is 32, the min value is 16. All valid values are multiples of 4. Exists in conjunction with
- * $Nb because we need this value and not $Nb to pad strings appropriately.
- */
- var $block_size = 16;
-
- /**
- * 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 $key_size
- * 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;
-
- /**
- * Precomputed mixColumns table
- *
- * @see Crypt_Rijndael()
- * @var Array
- * @access private
- */
- var $t0;
-
- /**
- * Precomputed mixColumns table
- *
- * @see Crypt_Rijndael()
- * @var Array
- * @access private
- */
- var $t1;
-
- /**
- * Precomputed mixColumns table
- *
- * @see Crypt_Rijndael()
- * @var Array
- * @access private
- */
- var $t2;
-
- /**
- * Precomputed mixColumns table
- *
- * @see Crypt_Rijndael()
- * @var Array
- * @access private
- */
- var $t3;
-
- /**
- * Precomputed invMixColumns table
- *
- * @see Crypt_Rijndael()
- * @var Array
- * @access private
- */
- var $dt0;
-
- /**
- * Precomputed invMixColumns table
- *
- * @see Crypt_Rijndael()
- * @var Array
- * @access private
- */
- var $dt1;
-
- /**
- * Precomputed invMixColumns table
- *
- * @see Crypt_Rijndael()
- * @var Array
- * @access private
- */
- var $dt2;
-
- /**
- * Precomputed invMixColumns table
- *
- * @see Crypt_Rijndael()
- * @var Array
- * @access private
- */
- var $dt3;
-
- /**
- * Default Constructor.
- *
- * Determines whether or not the mcrypt extension should be used. $mode should only, at present, be
- * CRYPT_RIJNDAEL_MODE_ECB or CRYPT_RIJNDAEL_MODE_CBC. If not explictly set, CRYPT_RIJNDAEL_MODE_CBC will be used.
- *
- * @param optional Integer $mode
- * @return Crypt_Rijndael
- * @access public
- */
- function Crypt_Rijndael($mode = CRYPT_RIJNDAEL_MODE_CBC)
- {
- switch ($mode) {
- case CRYPT_RIJNDAEL_MODE_ECB:
- case CRYPT_RIJNDAEL_MODE_CBC:
- $this->mode = $mode;
- break;
- default:
- $this->mode = CRYPT_RIJNDAEL_MODE_CBC;
- }
-
- // 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.
- $this->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
- );
-
- $this->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
- );
-
- for ($i = 0; $i < 256; $i++) {
- $this->t2[$i << 8] = (($this->t3[$i] << 8) & 0xFFFFFF00) | (($this->t3[$i] >> 24) & 0x000000FF);
- $this->t1[$i << 16] = (($this->t3[$i] << 16) & 0xFFFF0000) | (($this->t3[$i] >> 16) & 0x0000FFFF);
- $this->t0[$i << 24] = (($this->t3[$i] << 24) & 0xFF000000) | (($this->t3[$i] >> 8) & 0x00FFFFFF);
-
- $this->dt2[$i << 8] = (($this->dt3[$i] << 8) & 0xFFFFFF00) | (($this->dt3[$i] >> 24) & 0x000000FF);
- $this->dt1[$i << 16] = (($this->dt3[$i] << 16) & 0xFFFF0000) | (($this->dt3[$i] >> 16) & 0x0000FFFF);
- $this->dt0[$i << 24] = (($this->dt3[$i] << 24) & 0xFF000000) | (($this->dt3[$i] >> 8) & 0x00FFFFFF);
- }
- }
-
- /**
- * 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.
- *
- * @access public
- * @param String $key
- */
- function setKey($key)
- {
- $this->key = $key;
- $this->changed = true;
- }
-
- /**
- * Sets the initialization vector. (optional)
- *
- * SetIV is not required when CRYPT_RIJNDAEL_MODE_ECB is being used. If not explictly set, it'll be assumed
- * to be all zero's.
- *
- * @access public
- * @param String $iv
- */
- function setIV($iv)
- {
- $this->encryptIV = $this->decryptIV = $this->iv = str_pad(substr($iv, 0, $this->block_size), $this->block_size, chr(0));;
- }
-
- /**
- * 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 then 128 and invalid, it will be rounded down to the closest valid amount.
- *
- * @access public
- * @param Integer $length
- */
- function setKeyLength($length)
- {
- $length >>= 5;
- if ($length > 8) {
- $length = 8;
- } else if ($length < 4) {
- $length = 4;
- }
- $this->Nk = $length;
- $this->key_size = $length << 2;
-
- $this->explicit_key_length = true;
- $this->changed = true;
- }
-
- /**
- * 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 then 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;
- }
-
- /**
- * Encrypts a message.
- *
- * $plaintext will be padded with additional bytes such that it's length is a multiple of the block size. Other Rjindael
- * implementations may or may not pad in the same manner. Other common approaches to padding and the reasons why it's
- * necessary are discussed in the following
- * URL:
- *
- * {@link http://www.di-mgt.com.au/cryptopad.html http://www.di-mgt.com.au/cryptopad.html}
- *
- * An alternative to padding is to, separately, send the length of the file. This is what SSH, in fact, does.
- * strlen($plaintext) will still need to be a multiple of 8, however, arbitrary values can be added to make it that
- * length.
- *
- * @see Crypt_Rijndael::decrypt()
- * @access public
- * @param String $plaintext
- */
- function encrypt($plaintext)
- {
- $this->_setup();
- $plaintext = $this->_pad($plaintext);
-
- $ciphertext = '';
- switch ($this->mode) {
- case CRYPT_RIJNDAEL_MODE_ECB:
- for ($i = 0; $i < strlen($plaintext); $i+=$this->block_size) {
- $ciphertext.= $this->_encryptBlock(substr($plaintext, $i, $this->block_size));
- }
- break;
- case CRYPT_RIJNDAEL_MODE_CBC:
- $xor = $this->encryptIV;
- for ($i = 0; $i < strlen($plaintext); $i+=$this->block_size) {
- $block = substr($plaintext, $i, $this->block_size);
- $block = $this->_encryptBlock($block ^ $xor);
- $xor = $block;
- $ciphertext.= $block;
- }
- if ($this->continuousBuffer) {
- $this->encryptIV = $xor;
- }
- }
-
- 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.
- *
- * @see Crypt_Rijndael::encrypt()
- * @access public
- * @param String $ciphertext
- */
- function decrypt($ciphertext)
- {
- $this->_setup();
- // we pad with chr(0) since that's what mcrypt_generic does. to quote from http://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) + $this->block_size - 1) % $this->block_size, chr(0));
-
- $plaintext = '';
- switch ($this->mode) {
- case CRYPT_RIJNDAEL_MODE_ECB:
- for ($i = 0; $i < strlen($ciphertext); $i+=$this->block_size) {
- $plaintext.= $this->_decryptBlock(substr($ciphertext, $i, $this->block_size));
- }
- break;
- case CRYPT_RIJNDAEL_MODE_CBC:
- $xor = $this->decryptIV;
- for ($i = 0; $i < strlen($ciphertext); $i+=$this->block_size) {
- $block = substr($ciphertext, $i, $this->block_size);
- $plaintext.= $this->_decryptBlock($block) ^ $xor;
- $xor = $block;
- }
- if ($this->continuousBuffer) {
- $this->decryptIV = $xor;
- }
- }
-
- return $this->_unpad($plaintext);
- }
-
- /**
- * Encrypts a block
- *
- * @access private
- * @param String $in
- * @return String
- */
- function _encryptBlock($in)
- {
- $state = array();
- $words = unpack('N*word', $in);
-
- // addRoundKey
- foreach ($words as $word) {
- $state[] = $word ^ $this->w[0][count($state)];
- }
-
- // 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 < $this->Nr; $round++) {
- $i = 0; // $this->c[0] == 0
- $j = $this->c[1];
- $k = $this->c[2];
- $l = $this->c[3];
-
- while ($i < $this->Nb) {
- $temp[$i] = $this->t0[$state[$i] & 0xFF000000] ^
- $this->t1[$state[$j] & 0x00FF0000] ^
- $this->t2[$state[$k] & 0x0000FF00] ^
- $this->t3[$state[$l] & 0x000000FF] ^
- $this->w[$round][$i];
- $i++;
- $j = ($j + 1) % $this->Nb;
- $k = ($k + 1) % $this->Nb;
- $l = ($l + 1) % $this->Nb;
- }
-
- for ($i = 0; $i < $this->Nb; $i++) {
- $state[$i] = $temp[$i];
- }
- }
-
- // subWord
- for ($i = 0; $i < $this->Nb; $i++) {
- $state[$i] = $this->_subWord($state[$i]);
- }
-
- // shiftRows + addRoundKey
- $i = 0; // $this->c[0] == 0
- $j = $this->c[1];
- $k = $this->c[2];
- $l = $this->c[3];
- while ($i < $this->Nb) {
- $temp[$i] = ($state[$i] & 0xFF000000) ^
- ($state[$j] & 0x00FF0000) ^
- ($state[$k] & 0x0000FF00) ^
- ($state[$l] & 0x000000FF) ^
- $this->w[$this->Nr][$i];
- $i++;
- $j = ($j + 1) % $this->Nb;
- $k = ($k + 1) % $this->Nb;
- $l = ($l + 1) % $this->Nb;
- }
- $state = $temp;
-
- array_unshift($state, 'N*');
-
- return call_user_func_array('pack', $state);
- }
-
- /**
- * Decrypts a block
- *
- * @access private
- * @param String $in
- * @return String
- */
- function _decryptBlock($in)
- {
- $state = array();
- $words = unpack('N*word', $in);
-
- // addRoundKey
- foreach ($words as $word) {
- $state[] = $word ^ $this->dw[0][count($state)];
- }
-
- $temp = array();
- for ($round = $this->Nr - 1; $round > 0; $round--) {
- $i = 0; // $this->c[0] == 0
- $j = $this->Nb - $this->c[1];
- $k = $this->Nb - $this->c[2];
- $l = $this->Nb - $this->c[3];
-
- while ($i < $this->Nb) {
- $temp[$i] = $this->dt0[$state[$i] & 0xFF000000] ^
- $this->dt1[$state[$j] & 0x00FF0000] ^
- $this->dt2[$state[$k] & 0x0000FF00] ^
- $this->dt3[$state[$l] & 0x000000FF] ^
- $this->dw[$round][$i];
- $i++;
- $j = ($j + 1) % $this->Nb;
- $k = ($k + 1) % $this->Nb;
- $l = ($l + 1) % $this->Nb;
- }
-
- for ($i = 0; $i < $this->Nb; $i++) {
- $state[$i] = $temp[$i];
- }
- }
-
- // invShiftRows + invSubWord + addRoundKey
- $i = 0; // $this->c[0] == 0
- $j = $this->Nb - $this->c[1];
- $k = $this->Nb - $this->c[2];
- $l = $this->Nb - $this->c[3];
-
- while ($i < $this->Nb) {
- $temp[$i] = $this->dw[0][$i] ^
- $this->_invSubWord(($state[$i] & 0xFF000000) |
- ($state[$j] & 0x00FF0000) |
- ($state[$k] & 0x0000FF00) |
- ($state[$l] & 0x000000FF));
- $i++;
- $j = ($j + 1) % $this->Nb;
- $k = ($k + 1) % $this->Nb;
- $l = ($l + 1) % $this->Nb;
- }
-
- $state = $temp;
-
- array_unshift($state, 'N*');
-
- return call_user_func_array('pack', $state);
- }
-
- /**
- * Setup Rijndael
- *
- * Validates all the variables and calculates $Nr - the number of rounds that need to be performed - and $w - the key
- * key schedule.
- *
- * @access private
- */
- function _setup()
- {
- // 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 $rcon = array(0,
- 0x01000000, 0x02000000, 0x04000000, 0x08000000, 0x10000000,
- 0x20000000, 0x40000000, 0x80000000, 0x1B000000, 0x36000000,
- 0x6C000000, 0xD8000000, 0xAB000000, 0x4D000000, 0x9A000000,
- 0x2F000000, 0x5E000000, 0xBC000000, 0x63000000, 0xC6000000,
- 0x97000000, 0x35000000, 0x6A000000, 0xD4000000, 0xB3000000,
- 0x7D000000, 0xFA000000, 0xEF000000, 0xC5000000, 0x91000000
- );
-
- if (!$this->changed) {
- return;
- }
-
- if (!$this->explicit_key_length) {
- // we do >> 2, here, and not >> 5, as we do above, since strlen($this->key) tells us the number of bytes - not bits
- $length = strlen($this->key) >> 2;
- if ($length > 8) {
- $length = 8;
- } else if ($length < 4) {
- $length = 4;
- }
- $this->Nk = $length;
- $this->key_size = $length << 2;
- }
-
- $this->key = str_pad(substr($this->key, 0, $this->key_size), $this->key_size, chr(0));
- $this->encryptIV = $this->decryptIV = $this->iv = str_pad(substr($this->iv, 0, $this->block_size), $this->block_size, chr(0));
-
- // 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);
- }
-
- $key = $this->key;
-
- $w = array_values(unpack('N*words', $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"
- $temp = array();
- for ($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 & 0xFF000000] ^
- $this->dt1[$dw & 0x00FF0000] ^
- $this->dt2[$dw & 0x0000FF00] ^
- $this->dt3[$dw & 0x000000FF];
- $j++;
- }
- $this->dw[$row] = $temp;
- }
-
- $col = 0;
- $row++;
- }
- $this->w[$row][$col] = $w[$i];
- }
-
- $this->dw[$row] = $this->w[$row];
-
- $this->changed = false;
- }
-
- /**
- * Performs S-Box substitutions
- *
- * @access private
- */
- function _subWord($word)
- {
- static $sbox0, $sbox1, $sbox2, $sbox3;
-
- if (empty($sbox0)) {
- $sbox0 = 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
- );
-
- $sbox1 = array();
- $sbox2 = array();
- $sbox3 = array();
-
- for ($i = 0; $i < 256; $i++) {
- $sbox1[$i << 8] = $sbox0[$i] << 8;
- $sbox2[$i << 16] = $sbox0[$i] << 16;
- $sbox3[$i << 24] = $sbox0[$i] << 24;
- }
- }
-
- return $sbox0[$word & 0x000000FF] |
- $sbox1[$word & 0x0000FF00] |
- $sbox2[$word & 0x00FF0000] |
- $sbox3[$word & 0xFF000000];
- }
-
- /**
- * Performs inverse S-Box substitutions
- *
- * @access private
- */
- function _invSubWord($word)
- {
- static $sbox0, $sbox1, $sbox2, $sbox3;
-
- if (empty($sbox0)) {
- $sbox0 = 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
- );
-
- $sbox1 = array();
- $sbox2 = array();
- $sbox3 = array();
-
- for ($i = 0; $i < 256; $i++) {
- $sbox1[$i << 8] = $sbox0[$i] << 8;
- $sbox2[$i << 16] = $sbox0[$i] << 16;
- $sbox3[$i << 24] = $sbox0[$i] << 24;
- }
- }
-
- return $sbox0[$word & 0x000000FF] |
- $sbox1[$word & 0x0000FF00] |
- $sbox2[$word & 0x00FF0000] |
- $sbox3[$word & 0xFF000000];
- }
-
- /**
- * Pad "packets".
- *
- * Rijndael works by encrypting between sixteen and thirty-two bytes at a time, provided that number is also a multiple
- * of four. 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_Rijndael::disablePadding()
- * @access public
- */
- function enablePadding()
- {
- $this->padding = true;
- }
-
- /**
- * Do not pad packets.
- *
- * @see Crypt_Rijndael::enablePadding()
- * @access public
- */
- function disablePadding()
- {
- $this->padding = false;
- }
-
- /**
- * Pads a string
- *
- * Pads a string using the RSA PKCS padding standards so that its length is a multiple of the blocksize.
- * $block_size - (strlen($text) % $block_size) bytes are added, each of which is equal to
- * chr($block_size - (strlen($text) % $block_size)
- *
- * If padding is disabled and $text is not a multiple of the blocksize, the string will be padded regardless
- * and padding will, hence forth, be enabled.
- *
- * @see Crypt_Rijndael::_unpad()
- * @access private
- */
- function _pad($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})", E_USER_NOTICE);
- $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, padding will be, hence forth, disabled.
- *
- * @see Crypt_Rijndael::_pad()
- * @access private
- */
- function _unpad($text)
- {
- if (!$this->padding) {
- return $text;
- }
-
- $length = ord($text[strlen($text) - 1]);
-
- if (!$length || $length > $this->block_size) {
- user_error("The number of bytes reported as being padded ($length) is invalid (block size = {$this->block_size})", E_USER_NOTICE);
- $this->padding = false;
- return $text;
- }
-
- return substr($text, 0, -$length);
- }
-
- /**
- * 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 $rijndael->decrypt($des->encrypt(substr($plaintext, 16, 16)));
- * </code>
- * <code>
- * echo $rijndael->decrypt($des->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_Rijndael() 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.
- *
- * @see Crypt_Rijndael::disableContinuousBuffer()
- * @access public
- */
- function enableContinuousBuffer()
- {
- $this->continuousBuffer = true;
- }
-
- /**
- * Treat consecutive packets as if they are a discontinuous buffer.
- *
- * The default behavior.
- *
- * @see Crypt_Rijndael::enableContinuousBuffer()
- * @access public
- */
- function disableContinuousBuffer()
- {
- $this->continuousBuffer = false;
- $this->encryptIV = $this->iv;
- $this->decryptIV = $this->iv;
- }
-
- /**
- * 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;
- }
-}
-
-// vim: ts=4:sw=4:et:
+<?php +/* vim: set expandtab tabstop=4 shiftwidth=4 softtabstop=4: */ + +/** + * Pure-PHP implementation of Rijndael. + * + * Does not use mcrypt, even when available, for reasons that are explained below. + * + * 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 160-bits and 160 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. + * + * {@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: This library is free software; you can redistribute it and/or + * modify it under the terms of the GNU Lesser General Public + * License as published by the Free Software Foundation; either + * version 2.1 of the License, or (at your option) any later version. + * + * This library is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + * Lesser General Public License for more details. + * + * You should have received a copy of the GNU Lesser General Public + * License along with this library; if not, write to the Free Software + * Foundation, Inc., 59 Temple Place, Suite 330, Boston, + * MA 02111-1307 USA + * + * @category Crypt + * @package Crypt_Rijndael + * @author Jim Wigginton <terrafrost@php.net> + * @copyright MMVIII Jim Wigginton + * @license http://www.gnu.org/licenses/lgpl.txt + * @version $Id: Rijndael.php,v 1.12 2010/02/09 06:10:26 terrafrost Exp $ + * @link http://phpseclib.sourceforge.net + */ + +/**#@+ + * @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', -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_RIJNDAEL_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_RIJNDAEL_MODE_CBC', 2); +/**#@-*/ + +/**#@+ + * @access private + * @see Crypt_Rijndael::Crypt_Rijndael() + */ +/** + * Toggles the internal implementation + */ +define('CRYPT_RIJNDAEL_MODE_INTERNAL', 1); +/** + * Toggles the mcrypt implementation + */ +define('CRYPT_RIJNDAEL_MODE_MCRYPT', 2); +/**#@-*/ + +/** + * Pure-PHP implementation of Rijndael. + * + * @author Jim Wigginton <terrafrost@php.net> + * @version 0.1.0 + * @access public + * @package Crypt_Rijndael + */ +class Crypt_Rijndael { + /** + * The Encryption Mode + * + * @see Crypt_Rijndael::Crypt_Rijndael() + * @var Integer + * @access private + */ + var $mode; + + /** + * The Key + * + * @see Crypt_Rijndael::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_Rijndael::setIV() + * @var String + * @access private + */ + var $iv = ''; + + /** + * A "sliding" Initialization Vector + * + * @see Crypt_Rijndael::enableContinuousBuffer() + * @var String + * @access private + */ + var $encryptIV = ''; + + /** + * A "sliding" Initialization Vector + * + * @see Crypt_Rijndael::enableContinuousBuffer() + * @var String + * @access private + */ + var $decryptIV = ''; + + /** + * Continuous Buffer status + * + * @see Crypt_Rijndael::enableContinuousBuffer() + * @var Boolean + * @access private + */ + var $continuousBuffer = false; + + /** + * Padding status + * + * @see Crypt_Rijndael::enablePadding() + * @var Boolean + * @access private + */ + var $padding = true; + + /** + * Does the key schedule need to be (re)calculated? + * + * @see setKey() + * @see setBlockLength() + * @see setKeyLength() + * @var Boolean + * @access private + */ + var $changed = true; + + /** + * 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 + * + * @see setBlockLength() + * @var Integer + * @access private + * @internal The max value is 32, the min value is 16. All valid values are multiples of 4. Exists in conjunction with + * $Nb because we need this value and not $Nb to pad strings appropriately. + */ + var $block_size = 16; + + /** + * 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 $key_size + * 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; + + /** + * Precomputed mixColumns table + * + * @see Crypt_Rijndael() + * @var Array + * @access private + */ + var $t0; + + /** + * Precomputed mixColumns table + * + * @see Crypt_Rijndael() + * @var Array + * @access private + */ + var $t1; + + /** + * Precomputed mixColumns table + * + * @see Crypt_Rijndael() + * @var Array + * @access private + */ + var $t2; + + /** + * Precomputed mixColumns table + * + * @see Crypt_Rijndael() + * @var Array + * @access private + */ + var $t3; + + /** + * Precomputed invMixColumns table + * + * @see Crypt_Rijndael() + * @var Array + * @access private + */ + var $dt0; + + /** + * Precomputed invMixColumns table + * + * @see Crypt_Rijndael() + * @var Array + * @access private + */ + var $dt1; + + /** + * Precomputed invMixColumns table + * + * @see Crypt_Rijndael() + * @var Array + * @access private + */ + var $dt2; + + /** + * Precomputed invMixColumns table + * + * @see Crypt_Rijndael() + * @var Array + * @access private + */ + var $dt3; + + /** + * Default Constructor. + * + * Determines whether or not the mcrypt extension should be used. $mode should only, at present, be + * CRYPT_RIJNDAEL_MODE_ECB or CRYPT_RIJNDAEL_MODE_CBC. If not explictly set, CRYPT_RIJNDAEL_MODE_CBC will be used. + * + * @param optional Integer $mode + * @return Crypt_Rijndael + * @access public + */ + function Crypt_Rijndael($mode = CRYPT_RIJNDAEL_MODE_CBC) + { + switch ($mode) { + case CRYPT_RIJNDAEL_MODE_ECB: + case CRYPT_RIJNDAEL_MODE_CBC: + case CRYPT_RIJNDAEL_MODE_CTR: + $this->mode = $mode; + break; + default: + $this->mode = CRYPT_RIJNDAEL_MODE_CBC; + } + + $t3 = &$this->t3; + $t2 = &$this->t2; + $t1 = &$this->t1; + $t0 = &$this->t0; + + $dt3 = &$this->dt3; + $dt2 = &$this->dt2; + $dt1 = &$this->dt1; + $dt0 = &$this->dt0; + + // 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. + $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 + ); + + $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 + ); + + for ($i = 0; $i < 256; $i++) { + $t2[$i << 8] = (($t3[$i] << 8) & 0xFFFFFF00) | (($t3[$i] >> 24) & 0x000000FF); + $t1[$i << 16] = (($t3[$i] << 16) & 0xFFFF0000) | (($t3[$i] >> 16) & 0x0000FFFF); + $t0[$i << 24] = (($t3[$i] << 24) & 0xFF000000) | (($t3[$i] >> 8) & 0x00FFFFFF); + + $dt2[$i << 8] = (($this->dt3[$i] << 8) & 0xFFFFFF00) | (($dt3[$i] >> 24) & 0x000000FF); + $dt1[$i << 16] = (($this->dt3[$i] << 16) & 0xFFFF0000) | (($dt3[$i] >> 16) & 0x0000FFFF); + $dt0[$i << 24] = (($this->dt3[$i] << 24) & 0xFF000000) | (($dt3[$i] >> 8) & 0x00FFFFFF); + } + } + + /** + * 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. + * + * @access public + * @param String $key + */ + function setKey($key) + { + $this->key = $key; + $this->changed = true; + } + + /** + * Sets the initialization vector. (optional) + * + * SetIV is not required when CRYPT_RIJNDAEL_MODE_ECB is being used. If not explictly set, it'll be assumed + * to be all zero's. + * + * @access public + * @param String $iv + */ + function setIV($iv) + { + $this->encryptIV = $this->decryptIV = $this->iv = str_pad(substr($iv, 0, $this->block_size), $this->block_size, chr(0));; + } + + /** + * 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 then 128 and invalid, it will be rounded down to the closest valid amount. + * + * @access public + * @param Integer $length + */ + function setKeyLength($length) + { + $length >>= 5; + if ($length > 8) { + $length = 8; + } else if ($length < 4) { + $length = 4; + } + $this->Nk = $length; + $this->key_size = $length << 2; + + $this->explicit_key_length = true; + $this->changed = true; + } + + /** + * 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 then 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; + } + + /** + * 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_Rijndael::decrypt() + * @see Crypt_Rijndael::encrypt() + * @access public + * @param Integer $length + * @param String $iv + */ + function _generate_xor($length, &$iv) + { + $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; + } + + /** + * Encrypts a message. + * + * $plaintext will be padded with additional bytes such that it's length is a multiple of the block size. Other Rjindael + * implementations may or may not pad in the same manner. Other common approaches to padding and the reasons why it's + * necessary are discussed in the following + * URL: + * + * {@link http://www.di-mgt.com.au/cryptopad.html http://www.di-mgt.com.au/cryptopad.html} + * + * An alternative to padding is to, separately, send the length of the file. This is what SSH, in fact, does. + * strlen($plaintext) will still need to be a multiple of 8, however, arbitrary values can be added to make it that + * length. + * + * @see Crypt_Rijndael::decrypt() + * @access public + * @param String $plaintext + */ + function encrypt($plaintext) + { + $this->_setup(); + if ($this->mode != CRYPT_RIJNDAEL_MODE_CTR) { + $plaintext = $this->_pad($plaintext); + } + + $block_size = $this->block_size; + $ciphertext = ''; + switch ($this->mode) { + case CRYPT_RIJNDAEL_MODE_ECB: + for ($i = 0; $i < strlen($plaintext); $i+=$block_size) { + $ciphertext.= $this->_encryptBlock(substr($plaintext, $i, $block_size)); + } + break; + case CRYPT_RIJNDAEL_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_RIJNDAEL_MODE_CTR: + $xor = $this->encryptIV; + for ($i = 0; $i < strlen($plaintext); $i+=$block_size) { + $block = substr($plaintext, $i, $block_size); + $key = $this->_encryptBlock($this->_generate_xor($block_size, $xor)); + $ciphertext.= $block ^ $key; + } + if ($this->continuousBuffer) { + $this->encryptIV = $xor; + } + } + + 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. + * + * @see Crypt_Rijndael::encrypt() + * @access public + * @param String $ciphertext + */ + function decrypt($ciphertext) + { + $this->_setup(); + + if ($this->mode != CRYPT_RIJNDAEL_MODE_CTR) { + // we pad with chr(0) since that's what mcrypt_generic does. to quote from http://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) + $this->block_size - 1) % $this->block_size, chr(0)); + } + + $block_size = $this->block_size; + $plaintext = ''; + switch ($this->mode) { + case CRYPT_RIJNDAEL_MODE_ECB: + for ($i = 0; $i < strlen($ciphertext); $i+=$block_size) { + $plaintext.= $this->_decryptBlock(substr($ciphertext, $i, $block_size)); + } + break; + case CRYPT_RIJNDAEL_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_RIJNDAEL_MODE_CTR: + $xor = $this->decryptIV; + for ($i = 0; $i < strlen($ciphertext); $i+=$block_size) { + $block = substr($ciphertext, $i, $block_size); + $key = $this->_encryptBlock($this->_generate_xor($block_size, $xor)); + $plaintext.= $block ^ $key; + } + if ($this->continuousBuffer) { + $this->decryptIV = $xor; + } + } + + return $this->mode != CRYPT_RIJNDAEL_MODE_CTR ? $this->_unpad($plaintext) : $plaintext; + } + + /** + * Encrypts a block + * + * @access private + * @param String $in + * @return String + */ + function _encryptBlock($in) + { + $state = array(); + $words = unpack('N*word', $in); + + $w = $this->w; + $t0 = $this->t0; + $t1 = $this->t1; + $t2 = $this->t2; + $t3 = $this->t3; + $Nb = $this->Nb; + $Nr = $this->Nr; + $c = $this->c; + + // addRoundKey + $i = 0; + foreach ($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 < $this->Nb) { + $temp[$i] = $t0[$state[$i] & 0xFF000000] ^ + $t1[$state[$j] & 0x00FF0000] ^ + $t2[$state[$k] & 0x0000FF00] ^ + $t3[$state[$l] & 0x000000FF] ^ + $w[$round][$i]; + $i++; + $j = ($j + 1) % $Nb; + $k = ($k + 1) % $Nb; + $l = ($l + 1) % $Nb; + } + + for ($i = 0; $i < $Nb; $i++) { + $state[$i] = $temp[$i]; + } + } + + // subWord + for ($i = 0; $i < $Nb; $i++) { + $state[$i] = $this->_subWord($state[$i]); + } + + // shiftRows + addRoundKey + $i = 0; // $c[0] == 0 + $j = $c[1]; + $k = $c[2]; + $l = $c[3]; + while ($i < $this->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; + } + $state = $temp; + + array_unshift($state, 'N*'); + + return call_user_func_array('pack', $state); + } + + /** + * Decrypts a block + * + * @access private + * @param String $in + * @return String + */ + function _decryptBlock($in) + { + $state = array(); + $words = unpack('N*word', $in); + + $num_states = count($state); + $dw = $this->dw; + $dt0 = $this->dt0; + $dt1 = $this->dt1; + $dt2 = $this->dt2; + $dt3 = $this->dt3; + $Nb = $this->Nb; + $Nr = $this->Nr; + $c = $this->c; + + // addRoundKey + $i = 0; + foreach ($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] & 0xFF000000] ^ + $dt1[$state[$j] & 0x00FF0000] ^ + $dt2[$state[$k] & 0x0000FF00] ^ + $dt3[$state[$l] & 0x000000FF] ^ + $dw[$round][$i]; + $i++; + $j = ($j + 1) % $Nb; + $k = ($k + 1) % $Nb; + $l = ($l + 1) % $Nb; + } + + for ($i = 0; $i < $Nb; $i++) { + $state[$i] = $temp[$i]; + } + } + + // invShiftRows + invSubWord + addRoundKey + $i = 0; // $c[0] == 0 + $j = $Nb - $c[1]; + $k = $Nb - $c[2]; + $l = $Nb - $c[3]; + + while ($i < $Nb) { + $temp[$i] = $dw[0][$i] ^ + $this->_invSubWord(($state[$i] & 0xFF000000) | + ($state[$j] & 0x00FF0000) | + ($state[$k] & 0x0000FF00) | + ($state[$l] & 0x000000FF)); + $i++; + $j = ($j + 1) % $Nb; + $k = ($k + 1) % $Nb; + $l = ($l + 1) % $Nb; + } + + $state = $temp; + + array_unshift($state, 'N*'); + + return call_user_func_array('pack', $state); + } + + /** + * Setup Rijndael + * + * Validates all the variables and calculates $Nr - the number of rounds that need to be performed - and $w - the key + * key schedule. + * + * @access private + */ + function _setup() + { + // 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 $rcon = array(0, + 0x01000000, 0x02000000, 0x04000000, 0x08000000, 0x10000000, + 0x20000000, 0x40000000, 0x80000000, 0x1B000000, 0x36000000, + 0x6C000000, 0xD8000000, 0xAB000000, 0x4D000000, 0x9A000000, + 0x2F000000, 0x5E000000, 0xBC000000, 0x63000000, 0xC6000000, + 0x97000000, 0x35000000, 0x6A000000, 0xD4000000, 0xB3000000, + 0x7D000000, 0xFA000000, 0xEF000000, 0xC5000000, 0x91000000 + ); + + if (!$this->changed) { + return; + } + + if (!$this->explicit_key_length) { + // we do >> 2, here, and not >> 5, as we do above, since strlen($this->key) tells us the number of bytes - not bits + $length = strlen($this->key) >> 2; + if ($length > 8) { + $length = 8; + } else if ($length < 4) { + $length = 4; + } + $this->Nk = $length; + $this->key_size = $length << 2; + } + + $this->key = str_pad(substr($this->key, 0, $this->key_size), $this->key_size, chr(0)); + $this->encryptIV = $this->decryptIV = $this->iv = str_pad(substr($this->iv, 0, $this->block_size), $this->block_size, chr(0)); + + // 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); + } + + $key = $this->key; + + $w = array_values(unpack('N*words', $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" + $temp = array(); + for ($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 & 0xFF000000] ^ + $this->dt1[$dw & 0x00FF0000] ^ + $this->dt2[$dw & 0x0000FF00] ^ + $this->dt3[$dw & 0x000000FF]; + $j++; + } + $this->dw[$row] = $temp; + } + + $col = 0; + $row++; + } + $this->w[$row][$col] = $w[$i]; + } + + $this->dw[$row] = $this->w[$row]; + + $this->changed = false; + } + + /** + * Performs S-Box substitutions + * + * @access private + */ + function _subWord($word) + { + static $sbox0, $sbox1, $sbox2, $sbox3; + + if (empty($sbox0)) { + $sbox0 = 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 + ); + + $sbox1 = array(); + $sbox2 = array(); + $sbox3 = array(); + + for ($i = 0; $i < 256; $i++) { + $sbox1[$i << 8] = $sbox0[$i] << 8; + $sbox2[$i << 16] = $sbox0[$i] << 16; + $sbox3[$i << 24] = $sbox0[$i] << 24; + } + } + + return $sbox0[$word & 0x000000FF] | + $sbox1[$word & 0x0000FF00] | + $sbox2[$word & 0x00FF0000] | + $sbox3[$word & 0xFF000000]; + } + + /** + * Performs inverse S-Box substitutions + * + * @access private + */ + function _invSubWord($word) + { + static $sbox0, $sbox1, $sbox2, $sbox3; + + if (empty($sbox0)) { + $sbox0 = 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 + ); + + $sbox1 = array(); + $sbox2 = array(); + $sbox3 = array(); + + for ($i = 0; $i < 256; $i++) { + $sbox1[$i << 8] = $sbox0[$i] << 8; + $sbox2[$i << 16] = $sbox0[$i] << 16; + $sbox3[$i << 24] = $sbox0[$i] << 24; + } + } + + return $sbox0[$word & 0x000000FF] | + $sbox1[$word & 0x0000FF00] | + $sbox2[$word & 0x00FF0000] | + $sbox3[$word & 0xFF000000]; + } + + /** + * Pad "packets". + * + * Rijndael works by encrypting between sixteen and thirty-two bytes at a time, provided that number is also a multiple + * of four. 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_Rijndael::disablePadding() + * @access public + */ + function enablePadding() + { + $this->padding = true; + } + + /** + * Do not pad packets. + * + * @see Crypt_Rijndael::enablePadding() + * @access public + */ + function disablePadding() + { + $this->padding = false; + } + + /** + * Pads a string + * + * Pads a string using the RSA PKCS padding standards so that its length is a multiple of the blocksize. + * $block_size - (strlen($text) % $block_size) bytes are added, each of which is equal to + * chr($block_size - (strlen($text) % $block_size) + * + * If padding is disabled and $text is not a multiple of the blocksize, the string will be padded regardless + * and padding will, hence forth, be enabled. + * + * @see Crypt_Rijndael::_unpad() + * @access private + */ + function _pad($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})", E_USER_NOTICE); + $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_Rijndael::_pad() + * @access private + */ + 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); + } + + /** + * 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 $rijndael->decrypt($des->encrypt(substr($plaintext, 16, 16))); + * </code> + * <code> + * echo $rijndael->decrypt($des->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_Rijndael() 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. + * + * @see Crypt_Rijndael::disableContinuousBuffer() + * @access public + */ + function enableContinuousBuffer() + { + $this->continuousBuffer = true; + } + + /** + * Treat consecutive packets as if they are a discontinuous buffer. + * + * The default behavior. + * + * @see Crypt_Rijndael::enableContinuousBuffer() + * @access public + */ + function disableContinuousBuffer() + { + $this->continuousBuffer = false; + $this->encryptIV = $this->iv; + $this->decryptIV = $this->iv; + } + + /** + * 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; + } +} + +// vim: ts=4:sw=4:et: // vim6: fdl=1:
\ No newline at end of file diff --git a/plugins/OStatus/extlib/Crypt/TripleDES.php b/plugins/OStatus/extlib/Crypt/TripleDES.php index 03050e5d6..9d054086a 100644 --- a/plugins/OStatus/extlib/Crypt/TripleDES.php +++ b/plugins/OStatus/extlib/Crypt/TripleDES.php @@ -1,603 +1,690 @@ -<?php
-/* vim: set expandtab tabstop=4 shiftwidth=4 softtabstop=4: */
-
-/**
- * Pure-PHP implementation of Triple DES.
- *
- * Uses mcrypt, if available, and an internal implementation, otherwise. Operates in the EDE3 mode (encrypt-decrypt-encrypt).
- *
- * PHP versions 4 and 5
- *
- * Here's a short example of how to use this library:
- * <code>
- * <?php
- * include('Crypt/TripleDES.php');
- *
- * $des = new Crypt_TripleDES();
- *
- * $des->setKey('abcdefghijklmnopqrstuvwx');
- *
- * $size = 10 * 1024;
- * $plaintext = '';
- * for ($i = 0; $i < $size; $i++) {
- * $plaintext.= 'a';
- * }
- *
- * echo $des->decrypt($des->encrypt($plaintext));
- * ?>
- * </code>
- *
- * LICENSE: This library is free software; you can redistribute it and/or
- * modify it under the terms of the GNU Lesser General Public
- * License as published by the Free Software Foundation; either
- * version 2.1 of the License, or (at your option) any later version.
- *
- * This library is distributed in the hope that it will be useful,
- * but WITHOUT ANY WARRANTY; without even the implied warranty of
- * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
- * Lesser General Public License for more details.
- *
- * You should have received a copy of the GNU Lesser General Public
- * License along with this library; if not, write to the Free Software
- * Foundation, Inc., 59 Temple Place, Suite 330, Boston,
- * MA 02111-1307 USA
- *
- * @category Crypt
- * @package Crypt_TripleDES
- * @author Jim Wigginton <terrafrost@php.net>
- * @copyright MMVII Jim Wigginton
- * @license http://www.gnu.org/licenses/lgpl.txt
- * @version $Id: TripleDES.php,v 1.9 2009/11/23 19:06:07 terrafrost Exp $
- * @link http://phpseclib.sourceforge.net
- */
-
-/**
- * Include Crypt_DES
- */
-require_once 'DES.php';
-
-/**
- * Encrypt / decrypt using inner chaining
- *
- * Inner chaining is used by SSH-1 and is generally considered to be less secure then outer chaining (CRYPT_DES_MODE_CBC3).
- */
-define('CRYPT_DES_MODE_3CBC', 3);
-
-/**
- * Encrypt / decrypt using outer chaining
- *
- * Outer chaining is used by SSH-2 and when the mode is set to CRYPT_DES_MODE_CBC.
- */
-define('CRYPT_DES_MODE_CBC3', CRYPT_DES_MODE_CBC);
-
-/**
- * Pure-PHP implementation of Triple DES.
- *
- * @author Jim Wigginton <terrafrost@php.net>
- * @version 0.1.0
- * @access public
- * @package Crypt_TerraDES
- */
-class Crypt_TripleDES {
- /**
- * The Three Keys
- *
- * @see Crypt_TripleDES::setKey()
- * @var String
- * @access private
- */
- var $key = "\0\0\0\0\0\0\0\0";
-
- /**
- * The Encryption Mode
- *
- * @see Crypt_TripleDES::Crypt_TripleDES()
- * @var Integer
- * @access private
- */
- var $mode = CRYPT_DES_MODE_CBC;
-
- /**
- * Continuous Buffer status
- *
- * @see Crypt_TripleDES::enableContinuousBuffer()
- * @var Boolean
- * @access private
- */
- var $continuousBuffer = false;
-
- /**
- * Padding status
- *
- * @see Crypt_TripleDES::enablePadding()
- * @var Boolean
- * @access private
- */
- var $padding = true;
-
- /**
- * The Initialization Vector
- *
- * @see Crypt_TripleDES::setIV()
- * @var String
- * @access private
- */
- var $iv = "\0\0\0\0\0\0\0\0";
-
- /**
- * A "sliding" Initialization Vector
- *
- * @see Crypt_TripleDES::enableContinuousBuffer()
- * @var String
- * @access private
- */
- var $encryptIV = "\0\0\0\0\0\0\0\0";
-
- /**
- * A "sliding" Initialization Vector
- *
- * @see Crypt_TripleDES::enableContinuousBuffer()
- * @var String
- * @access private
- */
- var $decryptIV = "\0\0\0\0\0\0\0\0";
-
- /**
- * MCrypt parameters
- *
- * @see Crypt_TripleDES::setMCrypt()
- * @var Array
- * @access private
- */
- var $mcrypt = array('', '');
-
- /**
- * The Crypt_DES objects
- *
- * @var Array
- * @access private
- */
- var $des;
-
- /**
- * Default Constructor.
- *
- * Determines whether or not the mcrypt extension should be used. $mode should only, at present, be
- * CRYPT_DES_MODE_ECB or CRYPT_DES_MODE_CBC. If not explictly set, CRYPT_DES_MODE_CBC will be used.
- *
- * @param optional Integer $mode
- * @return Crypt_TripleDES
- * @access public
- */
- function Crypt_TripleDES($mode = CRYPT_DES_MODE_CBC)
- {
- if ( !defined('CRYPT_DES_MODE') ) {
- switch (true) {
- case extension_loaded('mcrypt'):
- // i'd check to see if des was supported, by doing in_array('des', mcrypt_list_algorithms('')),
- // but since that can be changed after the object has been created, there doesn't seem to be
- // a lot of point...
- define('CRYPT_DES_MODE', CRYPT_DES_MODE_MCRYPT);
- break;
- default:
- define('CRYPT_DES_MODE', CRYPT_DES_MODE_INTERNAL);
- }
- }
-
- if ( $mode == CRYPT_DES_MODE_3CBC ) {
- $this->mode = CRYPT_DES_MODE_3CBC;
- $this->des = array(
- new Crypt_DES(CRYPT_DES_MODE_CBC),
- new Crypt_DES(CRYPT_DES_MODE_CBC),
- new Crypt_DES(CRYPT_DES_MODE_CBC)
- );
-
- // we're going to be doing the padding, ourselves, so disable it in the Crypt_DES objects
- $this->des[0]->disablePadding();
- $this->des[1]->disablePadding();
- $this->des[2]->disablePadding();
-
- return;
- }
-
- switch ( CRYPT_DES_MODE ) {
- case CRYPT_DES_MODE_MCRYPT:
- switch ($mode) {
- case CRYPT_DES_MODE_ECB:
- $this->mode = MCRYPT_MODE_ECB; break;
- case CRYPT_DES_MODE_CBC:
- default:
- $this->mode = MCRYPT_MODE_CBC;
- }
-
- break;
- default:
- $this->des = array(
- new Crypt_DES(CRYPT_DES_MODE_ECB),
- new Crypt_DES(CRYPT_DES_MODE_ECB),
- new Crypt_DES(CRYPT_DES_MODE_ECB)
- );
-
- // we're going to be doing the padding, ourselves, so disable it in the Crypt_DES objects
- $this->des[0]->disablePadding();
- $this->des[1]->disablePadding();
- $this->des[2]->disablePadding();
-
- switch ($mode) {
- case CRYPT_DES_MODE_ECB:
- case CRYPT_DES_MODE_CBC:
- $this->mode = $mode;
- break;
- default:
- $this->mode = CRYPT_DES_MODE_CBC;
- }
- }
- }
-
- /**
- * Sets the key.
- *
- * Keys can be of any length. Triple DES, itself, can use 128-bit (eg. strlen($key) == 16) or
- * 192-bit (eg. strlen($key) == 24) keys. This function pads and truncates $key as appropriate.
- *
- * DES also requires that every eighth bit be a parity bit, however, we'll ignore that.
- *
- * If the key is not explicitly set, it'll be assumed to be all zero's.
- *
- * @access public
- * @param String $key
- */
- function setKey($key)
- {
- $length = strlen($key);
- if ($length > 8) {
- $key = str_pad($key, 24, chr(0));
- // if $key is between 64 and 128-bits, use the first 64-bits as the last, per this:
- // http://php.net/function.mcrypt-encrypt#47973
- $key = $length <= 16 ? substr_replace($key, substr($key, 0, 8), 16) : substr($key, 0, 24);
- }
- $this->key = $key;
- switch (true) {
- case CRYPT_DES_MODE == CRYPT_DES_MODE_INTERNAL:
- case $this->mode == CRYPT_DES_MODE_3CBC:
- $this->des[0]->setKey(substr($key, 0, 8));
- $this->des[1]->setKey(substr($key, 8, 8));
- $this->des[2]->setKey(substr($key, 16, 8));
- }
- }
-
- /**
- * Sets the initialization vector. (optional)
- *
- * SetIV is not required when CRYPT_DES_MODE_ECB is being used. If not explictly set, it'll be assumed
- * to be all zero's.
- *
- * @access public
- * @param String $iv
- */
- function setIV($iv)
- {
- $this->encryptIV = $this->decryptIV = $this->iv = str_pad(substr($iv, 0, 8), 8, chr(0));
- if ($this->mode == CRYPT_DES_MODE_3CBC) {
- $this->des[0]->setIV($iv);
- $this->des[1]->setIV($iv);
- $this->des[2]->setIV($iv);
- }
- }
-
- /**
- * Sets MCrypt parameters. (optional)
- *
- * If MCrypt is being used, empty strings will be used, unless otherwise specified.
- *
- * @link http://php.net/function.mcrypt-module-open#function.mcrypt-module-open
- * @access public
- * @param optional Integer $algorithm_directory
- * @param optional Integer $mode_directory
- */
- function setMCrypt($algorithm_directory = '', $mode_directory = '')
- {
- $this->mcrypt = array($algorithm_directory, $mode_directory);
- if ( $this->mode == CRYPT_DES_MODE_3CBC ) {
- $this->des[0]->setMCrypt($algorithm_directory, $mode_directory);
- $this->des[1]->setMCrypt($algorithm_directory, $mode_directory);
- $this->des[2]->setMCrypt($algorithm_directory, $mode_directory);
- }
- }
-
- /**
- * Encrypts a message.
- *
- * @access public
- * @param String $plaintext
- */
- function encrypt($plaintext)
- {
- $plaintext = $this->_pad($plaintext);
-
- // if the key is smaller then 8, do what we'd normally do
- if ($this->mode == CRYPT_DES_MODE_3CBC && strlen($this->key) > 8) {
- $ciphertext = $this->des[2]->encrypt($this->des[1]->decrypt($this->des[0]->encrypt($plaintext)));
-
- return $ciphertext;
- }
-
- if ( CRYPT_DES_MODE == CRYPT_DES_MODE_MCRYPT ) {
- $td = mcrypt_module_open(MCRYPT_3DES, $this->mcrypt[0], $this->mode, $this->mcrypt[1]);
- mcrypt_generic_init($td, $this->key, $this->encryptIV);
-
- $ciphertext = mcrypt_generic($td, $plaintext);
-
- mcrypt_generic_deinit($td);
- mcrypt_module_close($td);
-
- if ($this->continuousBuffer) {
- $this->encryptIV = substr($ciphertext, -8);
- }
-
- return $ciphertext;
- }
-
- if (strlen($this->key) <= 8) {
- $this->des[0]->mode = $this->mode;
-
- return $this->des[0]->encrypt($plaintext);
- }
-
- // we pad with chr(0) since that's what mcrypt_generic does. to quote from http://php.net/function.mcrypt-generic :
- // "The data is padded with "\0" to make sure the length of the data is n * blocksize."
- $plaintext = str_pad($plaintext, ceil(strlen($plaintext) / 8) * 8, chr(0));
-
- $ciphertext = '';
- switch ($this->mode) {
- case CRYPT_DES_MODE_ECB:
- for ($i = 0; $i < strlen($plaintext); $i+=8) {
- $block = substr($plaintext, $i, 8);
- $block = $this->des[0]->_processBlock($block, CRYPT_DES_ENCRYPT);
- $block = $this->des[1]->_processBlock($block, CRYPT_DES_DECRYPT);
- $block = $this->des[2]->_processBlock($block, CRYPT_DES_ENCRYPT);
- $ciphertext.= $block;
- }
- break;
- case CRYPT_DES_MODE_CBC:
- $xor = $this->encryptIV;
- for ($i = 0; $i < strlen($plaintext); $i+=8) {
- $block = substr($plaintext, $i, 8) ^ $xor;
- $block = $this->des[0]->_processBlock($block, CRYPT_DES_ENCRYPT);
- $block = $this->des[1]->_processBlock($block, CRYPT_DES_DECRYPT);
- $block = $this->des[2]->_processBlock($block, CRYPT_DES_ENCRYPT);
- $xor = $block;
- $ciphertext.= $block;
- }
- if ($this->continuousBuffer) {
- $this->encryptIV = $xor;
- }
- }
-
- return $ciphertext;
- }
-
- /**
- * Decrypts a message.
- *
- * @access public
- * @param String $ciphertext
- */
- function decrypt($ciphertext)
- {
- if ($this->mode == CRYPT_DES_MODE_3CBC && strlen($this->key) > 8) {
- $plaintext = $this->des[0]->decrypt($this->des[1]->encrypt($this->des[2]->decrypt($ciphertext)));
-
- return $this->_unpad($plaintext);
- }
-
- // we pad with chr(0) since that's what mcrypt_generic does. to quote from http://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) + 7) & 0xFFFFFFF8, chr(0));
-
- if ( CRYPT_DES_MODE == CRYPT_DES_MODE_MCRYPT ) {
- $td = mcrypt_module_open(MCRYPT_3DES, $this->mcrypt[0], $this->mode, $this->mcrypt[1]);
- mcrypt_generic_init($td, $this->key, $this->decryptIV);
-
- $plaintext = mdecrypt_generic($td, $ciphertext);
-
- mcrypt_generic_deinit($td);
- mcrypt_module_close($td);
-
- if ($this->continuousBuffer) {
- $this->decryptIV = substr($ciphertext, -8);
- }
-
- return $this->_unpad($plaintext);
- }
-
- if (strlen($this->key) <= 8) {
- $this->des[0]->mode = $this->mode;
-
- return $this->_unpad($this->des[0]->decrypt($plaintext));
- }
-
- $plaintext = '';
- switch ($this->mode) {
- case CRYPT_DES_MODE_ECB:
- for ($i = 0; $i < strlen($ciphertext); $i+=8) {
- $block = substr($ciphertext, $i, 8);
- $block = $this->des[2]->_processBlock($block, CRYPT_DES_DECRYPT);
- $block = $this->des[1]->_processBlock($block, CRYPT_DES_ENCRYPT);
- $block = $this->des[0]->_processBlock($block, CRYPT_DES_DECRYPT);
- $plaintext.= $block;
- }
- break;
- case CRYPT_DES_MODE_CBC:
- $xor = $this->decryptIV;
- for ($i = 0; $i < strlen($ciphertext); $i+=8) {
- $orig = $block = substr($ciphertext, $i, 8);
- $block = $this->des[2]->_processBlock($block, CRYPT_DES_DECRYPT);
- $block = $this->des[1]->_processBlock($block, CRYPT_DES_ENCRYPT);
- $block = $this->des[0]->_processBlock($block, CRYPT_DES_DECRYPT);
- $plaintext.= $block ^ $xor;
- $xor = $orig;
- }
- if ($this->continuousBuffer) {
- $this->decryptIV = $xor;
- }
- }
-
- return $this->_unpad($plaintext);
- }
-
- /**
- * Treat consecutive "packets" as if they are a continuous buffer.
- *
- * Say you have a 16-byte plaintext $plaintext. Using the default behavior, the two following code snippets
- * will yield different outputs:
- *
- * <code>
- * echo $des->encrypt(substr($plaintext, 0, 8));
- * echo $des->encrypt(substr($plaintext, 8, 8));
- * </code>
- * <code>
- * echo $des->encrypt($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>
- * $des->encrypt(substr($plaintext, 0, 8));
- * echo $des->decrypt($des->encrypt(substr($plaintext, 8, 8)));
- * </code>
- * <code>
- * echo $des->decrypt($des->encrypt(substr($plaintext, 8, 8)));
- * </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_DES() 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.
- *
- * @see Crypt_TripleDES::disableContinuousBuffer()
- * @access public
- */
- function enableContinuousBuffer()
- {
- $this->continuousBuffer = true;
- if ($this->mode == CRYPT_DES_MODE_3CBC) {
- $this->des[0]->enableContinuousBuffer();
- $this->des[1]->enableContinuousBuffer();
- $this->des[2]->enableContinuousBuffer();
- }
- }
-
- /**
- * Treat consecutive packets as if they are a discontinuous buffer.
- *
- * The default behavior.
- *
- * @see Crypt_TripleDES::enableContinuousBuffer()
- * @access public
- */
- function disableContinuousBuffer()
- {
- $this->continuousBuffer = false;
- $this->encryptIV = $this->iv;
- $this->decryptIV = $this->iv;
-
- if ($this->mode == CRYPT_DES_MODE_3CBC) {
- $this->des[0]->disableContinuousBuffer();
- $this->des[1]->disableContinuousBuffer();
- $this->des[2]->disableContinuousBuffer();
- }
- }
-
- /**
- * Pad "packets".
- *
- * DES works by encrypting eight bytes at a time. If you ever need to encrypt or decrypt something that's not
- * a multiple of eight, it becomes necessary to pad the input so that it's length is a multiple of eight.
- *
- * Padding is enabled by default. Sometimes, however, it is undesirable to pad strings. Such is the case in SSH1,
- * 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_TripleDES::disablePadding()
- * @access public
- */
- function enablePadding()
- {
- $this->padding = true;
- }
-
- /**
- * Do not pad packets.
- *
- * @see Crypt_TripleDES::enablePadding()
- * @access public
- */
- function disablePadding()
- {
- $this->padding = false;
- }
-
- /**
- * Pads a string
- *
- * Pads a string using the RSA PKCS padding standards so that its length is a multiple of the blocksize (8).
- * 8 - (strlen($text) & 7) bytes are added, each of which is equal to chr(8 - (strlen($text) & 7)
- *
- * If padding is disabled and $text is not a multiple of the blocksize, the string will be padded regardless
- * and padding will, hence forth, be enabled.
- *
- * @see Crypt_TripleDES::_unpad()
- * @access private
- */
- function _pad($text)
- {
- $length = strlen($text);
-
- if (!$this->padding) {
- if (($length & 7) == 0) {
- return $text;
- } else {
- user_error("The plaintext's length ($length) is not a multiple of the block size (8)", E_USER_NOTICE);
- $this->padding = true;
- }
- }
-
- $pad = 8 - ($length & 7);
- return str_pad($text, $length + $pad, chr($pad));
- }
-
- /**
- * Unpads a string
- *
- * If padding is enabled and the reported padding length is invalid, padding will be, hence forth, disabled.
- *
- * @see Crypt_TripleDES::_pad()
- * @access private
- */
- function _unpad($text)
- {
- if (!$this->padding) {
- return $text;
- }
-
- $length = ord($text[strlen($text) - 1]);
-
- if (!$length || $length > 8) {
- user_error("The number of bytes reported as being padded ($length) is invalid (block size = 8)", E_USER_NOTICE);
- $this->padding = false;
- return $text;
- }
-
- return substr($text, 0, -$length);
- }
-}
-
-// vim: ts=4:sw=4:et:
+<?php +/* vim: set expandtab tabstop=4 shiftwidth=4 softtabstop=4: */ + +/** + * Pure-PHP implementation of Triple DES. + * + * Uses mcrypt, if available, and an internal implementation, otherwise. Operates in the EDE3 mode (encrypt-decrypt-encrypt). + * + * PHP versions 4 and 5 + * + * Here's a short example of how to use this library: + * <code> + * <?php + * include('Crypt/TripleDES.php'); + * + * $des = new Crypt_TripleDES(); + * + * $des->setKey('abcdefghijklmnopqrstuvwx'); + * + * $size = 10 * 1024; + * $plaintext = ''; + * for ($i = 0; $i < $size; $i++) { + * $plaintext.= 'a'; + * } + * + * echo $des->decrypt($des->encrypt($plaintext)); + * ?> + * </code> + * + * LICENSE: This library is free software; you can redistribute it and/or + * modify it under the terms of the GNU Lesser General Public + * License as published by the Free Software Foundation; either + * version 2.1 of the License, or (at your option) any later version. + * + * This library is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + * Lesser General Public License for more details. + * + * You should have received a copy of the GNU Lesser General Public + * License along with this library; if not, write to the Free Software + * Foundation, Inc., 59 Temple Place, Suite 330, Boston, + * MA 02111-1307 USA + * + * @category Crypt + * @package Crypt_TripleDES + * @author Jim Wigginton <terrafrost@php.net> + * @copyright MMVII Jim Wigginton + * @license http://www.gnu.org/licenses/lgpl.txt + * @version $Id: TripleDES.php,v 1.13 2010/02/26 03:40:25 terrafrost Exp $ + * @link http://phpseclib.sourceforge.net + */ + +/** + * Include Crypt_DES + */ +require_once 'DES.php'; + +/** + * Encrypt / decrypt using inner chaining + * + * Inner chaining is used by SSH-1 and is generally considered to be less secure then outer chaining (CRYPT_DES_MODE_CBC3). + */ +define('CRYPT_DES_MODE_3CBC', 3); + +/** + * Encrypt / decrypt using outer chaining + * + * Outer chaining is used by SSH-2 and when the mode is set to CRYPT_DES_MODE_CBC. + */ +define('CRYPT_DES_MODE_CBC3', CRYPT_DES_MODE_CBC); + +/** + * Pure-PHP implementation of Triple DES. + * + * @author Jim Wigginton <terrafrost@php.net> + * @version 0.1.0 + * @access public + * @package Crypt_TerraDES + */ +class Crypt_TripleDES { + /** + * The Three Keys + * + * @see Crypt_TripleDES::setKey() + * @var String + * @access private + */ + var $key = "\0\0\0\0\0\0\0\0"; + + /** + * The Encryption Mode + * + * @see Crypt_TripleDES::Crypt_TripleDES() + * @var Integer + * @access private + */ + var $mode = CRYPT_DES_MODE_CBC; + + /** + * Continuous Buffer status + * + * @see Crypt_TripleDES::enableContinuousBuffer() + * @var Boolean + * @access private + */ + var $continuousBuffer = false; + + /** + * Padding status + * + * @see Crypt_TripleDES::enablePadding() + * @var Boolean + * @access private + */ + var $padding = true; + + /** + * The Initialization Vector + * + * @see Crypt_TripleDES::setIV() + * @var String + * @access private + */ + var $iv = "\0\0\0\0\0\0\0\0"; + + /** + * A "sliding" Initialization Vector + * + * @see Crypt_TripleDES::enableContinuousBuffer() + * @var String + * @access private + */ + var $encryptIV = "\0\0\0\0\0\0\0\0"; + + /** + * A "sliding" Initialization Vector + * + * @see Crypt_TripleDES::enableContinuousBuffer() + * @var String + * @access private + */ + var $decryptIV = "\0\0\0\0\0\0\0\0"; + + /** + * The Crypt_DES objects + * + * @var Array + * @access private + */ + var $des; + + /** + * 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_AES::encrypt() + * @var String + * @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_AES::decrypt() + * @var String + * @access private + */ + var $demcrypt; + + /** + * Does the (en|de)mcrypt resource need to be (re)initialized? + * + * @see setKey() + * @see setIV() + * @var Boolean + * @access private + */ + var $changed = true; + + /** + * Default Constructor. + * + * Determines whether or not the mcrypt extension should be used. $mode should only, at present, be + * CRYPT_DES_MODE_ECB or CRYPT_DES_MODE_CBC. If not explictly set, CRYPT_DES_MODE_CBC will be used. + * + * @param optional Integer $mode + * @return Crypt_TripleDES + * @access public + */ + function Crypt_TripleDES($mode = CRYPT_DES_MODE_CBC) + { + if ( !defined('CRYPT_DES_MODE') ) { + switch (true) { + case extension_loaded('mcrypt'): + // i'd check to see if des was supported, by doing in_array('des', mcrypt_list_algorithms('')), + // but since that can be changed after the object has been created, there doesn't seem to be + // a lot of point... + define('CRYPT_DES_MODE', CRYPT_DES_MODE_MCRYPT); + break; + default: + define('CRYPT_DES_MODE', CRYPT_DES_MODE_INTERNAL); + } + } + + if ( $mode == CRYPT_DES_MODE_3CBC ) { + $this->mode = CRYPT_DES_MODE_3CBC; + $this->des = array( + new Crypt_DES(CRYPT_DES_MODE_CBC), + new Crypt_DES(CRYPT_DES_MODE_CBC), + new Crypt_DES(CRYPT_DES_MODE_CBC) + ); + + // we're going to be doing the padding, ourselves, so disable it in the Crypt_DES objects + $this->des[0]->disablePadding(); + $this->des[1]->disablePadding(); + $this->des[2]->disablePadding(); + + return; + } + + switch ( CRYPT_DES_MODE ) { + case CRYPT_DES_MODE_MCRYPT: + switch ($mode) { + case CRYPT_DES_MODE_ECB: + $this->mode = MCRYPT_MODE_ECB; + break; + case CRYPT_DES_MODE_CTR: + $this->mode = 'ctr'; + break; + case CRYPT_DES_MODE_CBC: + default: + $this->mode = MCRYPT_MODE_CBC; + } + + break; + default: + $this->des = array( + new Crypt_DES(CRYPT_DES_MODE_ECB), + new Crypt_DES(CRYPT_DES_MODE_ECB), + new Crypt_DES(CRYPT_DES_MODE_ECB) + ); + + // we're going to be doing the padding, ourselves, so disable it in the Crypt_DES objects + $this->des[0]->disablePadding(); + $this->des[1]->disablePadding(); + $this->des[2]->disablePadding(); + + switch ($mode) { + case CRYPT_DES_MODE_ECB: + case CRYPT_DES_MODE_CTR: + case CRYPT_DES_MODE_CBC: + $this->mode = $mode; + break; + default: + $this->mode = CRYPT_DES_MODE_CBC; + } + } + } + + /** + * Sets the key. + * + * Keys can be of any length. Triple DES, itself, can use 128-bit (eg. strlen($key) == 16) or + * 192-bit (eg. strlen($key) == 24) keys. This function pads and truncates $key as appropriate. + * + * DES also requires that every eighth bit be a parity bit, however, we'll ignore that. + * + * If the key is not explicitly set, it'll be assumed to be all zero's. + * + * @access public + * @param String $key + */ + function setKey($key) + { + $length = strlen($key); + if ($length > 8) { + $key = str_pad($key, 24, chr(0)); + // if $key is between 64 and 128-bits, use the first 64-bits as the last, per this: + // http://php.net/function.mcrypt-encrypt#47973 + //$key = $length <= 16 ? substr_replace($key, substr($key, 0, 8), 16) : substr($key, 0, 24); + } + $this->key = $key; + switch (true) { + case CRYPT_DES_MODE == CRYPT_DES_MODE_INTERNAL: + case $this->mode == CRYPT_DES_MODE_3CBC: + $this->des[0]->setKey(substr($key, 0, 8)); + $this->des[1]->setKey(substr($key, 8, 8)); + $this->des[2]->setKey(substr($key, 16, 8)); + } + $this->changed = true; + } + + /** + * Sets the initialization vector. (optional) + * + * SetIV is not required when CRYPT_DES_MODE_ECB is being used. If not explictly set, it'll be assumed + * to be all zero's. + * + * @access public + * @param String $iv + */ + function setIV($iv) + { + $this->encryptIV = $this->decryptIV = $this->iv = str_pad(substr($iv, 0, 8), 8, chr(0)); + if ($this->mode == CRYPT_DES_MODE_3CBC) { + $this->des[0]->setIV($iv); + $this->des[1]->setIV($iv); + $this->des[2]->setIV($iv); + } + $this->changed = true; + } + + /** + * 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_DES::decrypt() + * @see Crypt_DES::encrypt() + * @access public + * @param Integer $length + * @param String $iv + */ + function _generate_xor($length, &$iv) + { + $xor = ''; + $num_blocks = ($length + 7) >> 3; + for ($i = 0; $i < $num_blocks; $i++) { + $xor.= $iv; + for ($j = 4; $j <= 8; $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; + } + + /** + * Encrypts a message. + * + * @access public + * @param String $plaintext + */ + function encrypt($plaintext) + { + if ($this->mode != CRYPT_DES_MODE_CTR && $this->mode != 'ctr') { + $plaintext = $this->_pad($plaintext); + } + + // if the key is smaller then 8, do what we'd normally do + if ($this->mode == CRYPT_DES_MODE_3CBC && strlen($this->key) > 8) { + $ciphertext = $this->des[2]->encrypt($this->des[1]->decrypt($this->des[0]->encrypt($plaintext))); + + return $ciphertext; + } + + if ( CRYPT_DES_MODE == CRYPT_DES_MODE_MCRYPT ) { + if ($this->changed) { + if (!isset($this->enmcrypt)) { + $this->enmcrypt = mcrypt_module_open(MCRYPT_3DES, '', $this->mode, ''); + } + mcrypt_generic_init($this->enmcrypt, $this->key, $this->encryptIV); + $this->changed = false; + } + + $ciphertext = mcrypt_generic($this->enmcrypt, $plaintext); + + if (!$this->continuousBuffer) { + mcrypt_generic_init($this->enmcrypt, $this->key, $this->encryptIV); + } + + return $ciphertext; + } + + if (strlen($this->key) <= 8) { + $this->des[0]->mode = $this->mode; + + return $this->des[0]->encrypt($plaintext); + } + + // we pad with chr(0) since that's what mcrypt_generic does. to quote from http://php.net/function.mcrypt-generic : + // "The data is padded with "\0" to make sure the length of the data is n * blocksize." + $plaintext = str_pad($plaintext, ceil(strlen($plaintext) / 8) * 8, chr(0)); + + $des = $this->des; + + $ciphertext = ''; + switch ($this->mode) { + case CRYPT_DES_MODE_ECB: + for ($i = 0; $i < strlen($plaintext); $i+=8) { + $block = substr($plaintext, $i, 8); + $block = $des[0]->_processBlock($block, CRYPT_DES_ENCRYPT); + $block = $des[1]->_processBlock($block, CRYPT_DES_DECRYPT); + $block = $des[2]->_processBlock($block, CRYPT_DES_ENCRYPT); + $ciphertext.= $block; + } + break; + case CRYPT_DES_MODE_CBC: + $xor = $this->encryptIV; + for ($i = 0; $i < strlen($plaintext); $i+=8) { + $block = substr($plaintext, $i, 8) ^ $xor; + $block = $des[0]->_processBlock($block, CRYPT_DES_ENCRYPT); + $block = $des[1]->_processBlock($block, CRYPT_DES_DECRYPT); + $block = $des[2]->_processBlock($block, CRYPT_DES_ENCRYPT); + $xor = $block; + $ciphertext.= $block; + } + if ($this->continuousBuffer) { + $this->encryptIV = $xor; + } + break; + case CRYPT_DES_MODE_CTR: + $xor = $this->encryptIV; + for ($i = 0; $i < strlen($plaintext); $i+=8) { + $key = $this->_generate_xor(8, $xor); + $key = $des[0]->_processBlock($key, CRYPT_DES_ENCRYPT); + $key = $des[1]->_processBlock($key, CRYPT_DES_DECRYPT); + $key = $des[2]->_processBlock($key, CRYPT_DES_ENCRYPT); + $block = substr($plaintext, $i, 8); + $ciphertext.= $block ^ $key; + } + if ($this->continuousBuffer) { + $this->encryptIV = $xor; + } + } + + return $ciphertext; + } + + /** + * Decrypts a message. + * + * @access public + * @param String $ciphertext + */ + function decrypt($ciphertext) + { + if ($this->mode == CRYPT_DES_MODE_3CBC && strlen($this->key) > 8) { + $plaintext = $this->des[0]->decrypt($this->des[1]->encrypt($this->des[2]->decrypt($ciphertext))); + + return $this->_unpad($plaintext); + } + + // we pad with chr(0) since that's what mcrypt_generic does. to quote from http://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($ciphertext) + 7) & 0xFFFFFFF8, chr(0)); + + if ( CRYPT_DES_MODE == CRYPT_DES_MODE_MCRYPT ) { + if ($this->changed) { + if (!isset($this->demcrypt)) { + $this->demcrypt = mcrypt_module_open(MCRYPT_3DES, '', $this->mode, ''); + } + mcrypt_generic_init($this->demcrypt, $this->key, $this->decryptIV); + $this->changed = false; + } + + $plaintext = mdecrypt_generic($this->demcrypt, $ciphertext); + + if (!$this->continuousBuffer) { + mcrypt_generic_init($this->demcrypt, $this->key, $this->decryptIV); + } + + return $this->mode != 'ctr' ? $this->_unpad($plaintext) : $plaintext; + } + + if (strlen($this->key) <= 8) { + $this->des[0]->mode = $this->mode; + + return $this->_unpad($this->des[0]->decrypt($plaintext)); + } + + $des = $this->des; + + $plaintext = ''; + switch ($this->mode) { + case CRYPT_DES_MODE_ECB: + for ($i = 0; $i < strlen($ciphertext); $i+=8) { + $block = substr($ciphertext, $i, 8); + $block = $des[2]->_processBlock($block, CRYPT_DES_DECRYPT); + $block = $des[1]->_processBlock($block, CRYPT_DES_ENCRYPT); + $block = $des[0]->_processBlock($block, CRYPT_DES_DECRYPT); + $plaintext.= $block; + } + break; + case CRYPT_DES_MODE_CBC: + $xor = $this->decryptIV; + for ($i = 0; $i < strlen($ciphertext); $i+=8) { + $orig = $block = substr($ciphertext, $i, 8); + $block = $des[2]->_processBlock($block, CRYPT_DES_DECRYPT); + $block = $des[1]->_processBlock($block, CRYPT_DES_ENCRYPT); + $block = $des[0]->_processBlock($block, CRYPT_DES_DECRYPT); + $plaintext.= $block ^ $xor; + $xor = $orig; + } + if ($this->continuousBuffer) { + $this->decryptIV = $xor; + } + break; + case CRYPT_DES_MODE_CTR: + $xor = $this->decryptIV; + for ($i = 0; $i < strlen($ciphertext); $i+=8) { + $key = $this->_generate_xor(8, $xor); + $key = $des[0]->_processBlock($key, CRYPT_DES_ENCRYPT); + $key = $des[1]->_processBlock($key, CRYPT_DES_DECRYPT); + $key = $des[2]->_processBlock($key, CRYPT_DES_ENCRYPT); + $block = substr($ciphertext, $i, 8); + $plaintext.= $block ^ $key; + } + if ($this->continuousBuffer) { + $this->decryptIV = $xor; + } + } + + return $this->mode != CRYPT_DES_MODE_CTR ? $this->_unpad($plaintext) : $plaintext; + } + + /** + * Treat consecutive "packets" as if they are a continuous buffer. + * + * Say you have a 16-byte plaintext $plaintext. Using the default behavior, the two following code snippets + * will yield different outputs: + * + * <code> + * echo $des->encrypt(substr($plaintext, 0, 8)); + * echo $des->encrypt(substr($plaintext, 8, 8)); + * </code> + * <code> + * echo $des->encrypt($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> + * $des->encrypt(substr($plaintext, 0, 8)); + * echo $des->decrypt($des->encrypt(substr($plaintext, 8, 8))); + * </code> + * <code> + * echo $des->decrypt($des->encrypt(substr($plaintext, 8, 8))); + * </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_DES() 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. + * + * @see Crypt_TripleDES::disableContinuousBuffer() + * @access public + */ + function enableContinuousBuffer() + { + $this->continuousBuffer = true; + if ($this->mode == CRYPT_DES_MODE_3CBC) { + $this->des[0]->enableContinuousBuffer(); + $this->des[1]->enableContinuousBuffer(); + $this->des[2]->enableContinuousBuffer(); + } + } + + /** + * Treat consecutive packets as if they are a discontinuous buffer. + * + * The default behavior. + * + * @see Crypt_TripleDES::enableContinuousBuffer() + * @access public + */ + function disableContinuousBuffer() + { + $this->continuousBuffer = false; + $this->encryptIV = $this->iv; + $this->decryptIV = $this->iv; + + if ($this->mode == CRYPT_DES_MODE_3CBC) { + $this->des[0]->disableContinuousBuffer(); + $this->des[1]->disableContinuousBuffer(); + $this->des[2]->disableContinuousBuffer(); + } + } + + /** + * Pad "packets". + * + * DES works by encrypting eight bytes at a time. If you ever need to encrypt or decrypt something that's not + * a multiple of eight, it becomes necessary to pad the input so that it's length is a multiple of eight. + * + * Padding is enabled by default. Sometimes, however, it is undesirable to pad strings. Such is the case in SSH1, + * 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_TripleDES::disablePadding() + * @access public + */ + function enablePadding() + { + $this->padding = true; + } + + /** + * Do not pad packets. + * + * @see Crypt_TripleDES::enablePadding() + * @access public + */ + function disablePadding() + { + $this->padding = false; + } + + /** + * Pads a string + * + * Pads a string using the RSA PKCS padding standards so that its length is a multiple of the blocksize (8). + * 8 - (strlen($text) & 7) bytes are added, each of which is equal to chr(8 - (strlen($text) & 7) + * + * If padding is disabled and $text is not a multiple of the blocksize, the string will be padded regardless + * and padding will, hence forth, be enabled. + * + * @see Crypt_TripleDES::_unpad() + * @access private + */ + function _pad($text) + { + $length = strlen($text); + + if (!$this->padding) { + if (($length & 7) == 0) { + return $text; + } else { + user_error("The plaintext's length ($length) is not a multiple of the block size (8)", E_USER_NOTICE); + $this->padding = true; + } + } + + $pad = 8 - ($length & 7); + 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_TripleDES::_pad() + * @access private + */ + function _unpad($text) + { + if (!$this->padding) { + return $text; + } + + $length = ord($text[strlen($text) - 1]); + + if (!$length || $length > 8) { + return false; + } + + return substr($text, 0, -$length); + } +} + +// vim: ts=4:sw=4:et: // vim6: fdl=1:
\ No newline at end of file diff --git a/plugins/OStatus/extlib/Math/BigInteger.php b/plugins/OStatus/extlib/Math/BigInteger.php index ce0e08354..9733351d4 100644 --- a/plugins/OStatus/extlib/Math/BigInteger.php +++ b/plugins/OStatus/extlib/Math/BigInteger.php @@ -1,3060 +1,3545 @@ -<?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).
- *
- * 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
- *
- * One idea for optimization is to use the comba method to reduce the number of operations performed.
- * MPM uses this quite extensively. The following URL elaborates:
- *
- * {@link http://www.everything2.com/index.pl?node_id=1736418}}}
- *
- * 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: This library is free software; you can redistribute it and/or
- * modify it under the terms of the GNU Lesser General Public
- * License as published by the Free Software Foundation; either
- * version 2.1 of the License, or (at your option) any later version.
- *
- * This library is distributed in the hope that it will be useful,
- * but WITHOUT ANY WARRANTY; without even the implied warranty of
- * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
- * Lesser General Public License for more details.
- *
- * You should have received a copy of the GNU Lesser General Public
- * License along with this library; if not, write to the Free Software
- * Foundation, Inc., 59 Temple Place, Suite 330, Boston,
- * MA 02111-1307 USA
- *
- * @category Math
- * @package Math_BigInteger
- * @author Jim Wigginton <terrafrost@php.net>
- * @copyright MMVI Jim Wigginton
- * @license http://www.gnu.org/licenses/lgpl.txt
- * @version $Id: BigInteger.php,v 1.18 2009/12/04 19:12:18 terrafrost Exp $
- * @link http://pear.php.net/package/Math_BigInteger
- */
-
-/**#@+
- * @access private
- * @see Math_BigInteger::_slidingWindow()
- */
-/**
- * @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);
-/**#@-*/
-
-/**#@+
- * @access private
- * @see Math_BigInteger::_montgomery()
- * @see Math_BigInteger::_barrett()
- */
-/**
- * $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);
-/**#@-*/
-
-/**#@+
- * @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);
-/**#@-*/
-
-/**
- * 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)
- *
- * @access private
- */
-define('MATH_BIGINTEGER_MAX_DIGIT52', pow(2, 52));
-
-/**
- * Karatsuba Cutoff
- *
- * At what point do we switch between Karatsuba multiplication and schoolbook long multiplication?
- *
- * @access private
- */
-define('MATH_BIGINTEGER_KARATSUBA_CUTOFF', 15);
-
-/**
- * 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 1.0.0RC3
- * @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;
-
- /**
- * Converts base-2, base-10, base-16, and binary strings (eg. 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, $base = 10)
- {
- if ( !defined('MATH_BIGINTEGER_MODE') ) {
- switch (true) {
- case extension_loaded('gmp'):
- define('MATH_BIGINTEGER_MODE', MATH_BIGINTEGER_MODE_GMP);
- break;
- case extension_loaded('bcmath'):
- define('MATH_BIGINTEGER_MODE', MATH_BIGINTEGER_MODE_BCMATH);
- break;
- default:
- define('MATH_BIGINTEGER_MODE', MATH_BIGINTEGER_MODE_INTERNAL);
- }
- }
-
- switch ( MATH_BIGINTEGER_MODE ) {
- case MATH_BIGINTEGER_MODE_GMP:
- if (is_resource($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:
- $this->value = array();
- }
-
- if ($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'); // 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])));
- }
-
- 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($x, 26));
- }
- }
-
- if ($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:
- $x = preg_replace('#^(-?[0-9]*).*#', '$1', $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 = (string) $x;
- break;
- default:
- $temp = new Math_BigInteger();
-
- // array(10000000) is 10**7 in base-2**26. 10**7 is the closest to 2**26 we can get without passing it.
- $multiplier = new Math_BigInteger();
- $multiplier->value = array(10000000);
-
- if ($x[0] == '-') {
- $this->is_negative = true;
- $x = substr($x, 1);
- }
-
- $x = str_pad($x, strlen($x) + (6 * strlen($x)) % 7, 0, STR_PAD_LEFT);
-
- while (strlen($x)) {
- $temp = $temp->multiply($multiplier);
- $temp = $temp->add(new Math_BigInteger($this->_int2bytes(substr($x, 0, 7)), 256));
- $x = substr($x, 7);
- }
-
- $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);
- }
-
- // we don't do four bytes at a time because then numbers larger than 1<<31 would be negative
- // two's complimented numbers, which would break chr.
- while (bccomp($current, '0') > 0) {
- $temp = bcmod($current, 0x1000000);
- $value = chr($temp >> 16) . chr($temp >> 8) . chr($temp) . $value;
- $current = bcdiv($current, 0x1000000);
- }
-
- 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, 26);
- $result = $result | str_pad($temp->_int2bytes($temp->value[$i]), strlen($result), chr(0), STR_PAD_LEFT);
- }
-
- return $this->precision > 0 ?
- substr(str_pad($result, $this->precision >> 3, chr(0), STR_PAD_LEFT), -($this->precision >> 3)) :
- $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 = 0; $i < strlen($hex); $i+=8) {
- $bits.= str_pad(decbin(hexdec(substr($hex, $i, 8))), 32, '0', STR_PAD_LEFT);
- }
- return $this->precision > 0 ? substr($bits, -$this->precision) : ltrim($bits, '0');
- }
-
- /**
- * 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(10000000); // eg. 10**7
- $result = '';
- while (count($temp->value)) {
- list($temp, $mod) = $temp->divide($divisor);
- $result = str_pad($mod->value[0], 7, '0', STR_PAD_LEFT) . $result;
- }
- $result = ltrim($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();
- }
-
- /**
- * 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);
-
- return $this->_normalize($temp);
- }
-
- $this_size = count($this->value);
- $y_size = count($y->value);
-
- if ($this_size == 0) {
- return $y->copy();
- } else if ($y_size == 0) {
- return $this->copy();
- }
-
- // subtract, if appropriate
- if ( $this->is_negative != $y->is_negative ) {
- // is $y the negative number?
- $y_negative = $this->compare($y) > 0;
-
- $temp = $this->copy();
- $y = $y->copy();
- $temp->is_negative = $y->is_negative = false;
-
- $diff = $temp->compare($y);
- if ( !$diff ) {
- $temp = new Math_BigInteger();
- return $this->_normalize($temp);
- }
-
- $temp = $temp->subtract($y);
-
- $temp->is_negative = ($diff > 0) ? !$y_negative : $y_negative;
-
- return $this->_normalize($temp);
- }
-
- $result = new Math_BigInteger();
- $carry = 0;
-
- $size = max($this_size, $y_size);
- $size+= $size & 1; // rounds $size to the nearest 2.
-
- $x = array_pad($this->value, $size, 0);
- $y = array_pad($y->value, $size, 0);
-
- for ($i = 0; $i < $size - 1; $i+=2) {
- $sum = $x[$i + 1] * 0x4000000 + $x[$i] + $y[$i + 1] * 0x4000000 + $y[$i] + $carry;
- $carry = $sum >= MATH_BIGINTEGER_MAX_DIGIT52; // eg. floor($sum / 2**52); only possible values (in any base) are 0 and 1
- $sum = $carry ? $sum - MATH_BIGINTEGER_MAX_DIGIT52 : $sum;
-
- $temp = floor($sum / 0x4000000);
-
- $result->value[] = $sum - 0x4000000 * $temp; // eg. a faster alternative to fmod($sum, 0x4000000)
- $result->value[] = $temp;
- }
-
- if ($carry) {
- $result->value[] = (int) $carry;
- }
-
- $result->is_negative = $this->is_negative;
-
- return $this->_normalize($result);
- }
-
- /**
- * 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);
-
- return $this->_normalize($temp);
- }
-
- $this_size = count($this->value);
- $y_size = count($y->value);
-
- if ($this_size == 0) {
- $temp = $y->copy();
- $temp->is_negative = !$temp->is_negative;
- return $temp;
- } else if ($y_size == 0) {
- return $this->copy();
- }
-
- // add, if appropriate (ie. -$x - +$y or +$x - -$y)
- if ( $this->is_negative != $y->is_negative ) {
- $is_negative = $y->compare($this) > 0;
-
- $temp = $this->copy();
- $y = $y->copy();
- $temp->is_negative = $y->is_negative = false;
-
- $temp = $temp->add($y);
-
- $temp->is_negative = $is_negative;
-
- return $this->_normalize($temp);
- }
-
- $diff = $this->compare($y);
-
- if ( !$diff ) {
- $temp = new Math_BigInteger();
- return $this->_normalize($temp);
- }
-
- // switch $this and $y around, if appropriate.
- if ( (!$this->is_negative && $diff < 0) || ($this->is_negative && $diff > 0) ) {
- $is_negative = $y->is_negative;
-
- $temp = $this->copy();
- $y = $y->copy();
- $temp->is_negative = $y->is_negative = false;
-
- $temp = $y->subtract($temp);
- $temp->is_negative = !$is_negative;
-
- return $this->_normalize($temp);
- }
-
- $result = new Math_BigInteger();
- $carry = 0;
-
- $size = max($this_size, $y_size);
- $size+= $size % 2;
-
- $x = array_pad($this->value, $size, 0);
- $y = array_pad($y->value, $size, 0);
-
- for ($i = 0; $i < $size - 1; $i+=2) {
- $sum = $x[$i + 1] * 0x4000000 + $x[$i] - $y[$i + 1] * 0x4000000 - $y[$i] + $carry;
- $carry = $sum < 0 ? -1 : 0; // eg. floor($sum / 2**52); only possible values (in any base) are 0 and 1
- $sum = $carry ? $sum + MATH_BIGINTEGER_MAX_DIGIT52 : $sum;
-
- $temp = floor($sum / 0x4000000);
-
- $result->value[] = $sum - 0x4000000 * $temp;
- $result->value[] = $temp;
- }
-
- // $carry shouldn't be anything other than zero, at this point, since we already made sure that $this
- // was bigger than $y.
-
- $result->is_negative = $this->is_negative;
-
- return $this->_normalize($result);
- }
-
- /**
- * 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);
-
- return $this->_normalize($temp);
- }
-
- static $cutoff = false;
- if ($cutoff === false) {
- $cutoff = 2 * MATH_BIGINTEGER_KARATSUBA_CUTOFF;
- }
-
- if ( $this->equals($x) ) {
- return $this->_square();
- }
-
- $this_length = count($this->value);
- $x_length = count($x->value);
-
- if ( !$this_length || !$x_length ) { // a 0 is being multiplied
- $temp = new Math_BigInteger();
- return $this->_normalize($temp);
- }
-
- $product = min($this_length, $x_length) < $cutoff ? $this->_multiply($x) : $this->_karatsuba($x);
-
- $product->is_negative = $this->is_negative != $x->is_negative;
-
- return $this->_normalize($product);
- }
-
- /**
- * 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 _barrett()
- * @param Math_BigInteger $x
- * @return Math_BigInteger
- * @access private
- */
- function _multiplyLower($x, $stop)
- {
- $this_length = count($this->value);
- $x_length = count($x->value);
-
- if ( !$this_length || !$x_length ) { // a 0 is being multiplied
- return new Math_BigInteger();
- }
-
- if ( $this_length < $x_length ) {
- return $x->_multiplyLower($this, $stop);
- }
-
- $product = new Math_BigInteger();
- $product->value = $this->_array_repeat(0, $this_length + $x_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 < $this_length; $j++) { // ie. $i = 0, $k = $i
- $temp = $this->value[$j] * $x->value[0] + $carry; // $product->value[$k] == 0
- $carry = floor($temp / 0x4000000);
- $product->value[$j] = $temp - 0x4000000 * $carry;
- }
-
- if ($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 < $x_length; $i++) {
- $carry = 0;
-
- for ($j = 0, $k = $i; $j < $this_length && $k < $stop; $j++, $k++) {
- $temp = $product->value[$k] + $this->value[$j] * $x->value[$i] + $carry;
- $carry = floor($temp / 0x4000000);
- $product->value[$k] = $temp - 0x4000000 * $carry;
- }
-
- if ($k < $stop) {
- $product->value[$k] = $carry;
- }
- }
-
- $product->is_negative = $this->is_negative != $x->is_negative;
-
- return $product;
- }
-
- /**
- * Performs long multiplication on two BigIntegers
- *
- * Modeled after 'multiply' in MutableBigInteger.java.
- *
- * @param Math_BigInteger $x
- * @return Math_BigInteger
- * @access private
- */
- function _multiply($x)
- {
- $this_length = count($this->value);
- $x_length = count($x->value);
-
- if ( !$this_length || !$x_length ) { // a 0 is being multiplied
- return new Math_BigInteger();
- }
-
- if ( $this_length < $x_length ) {
- return $x->_multiply($this);
- }
-
- $product = new Math_BigInteger();
- $product->value = $this->_array_repeat(0, $this_length + $x_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 < $this_length; $j++) { // ie. $i = 0
- $temp = $this->value[$j] * $x->value[0] + $carry; // $product->value[$k] == 0
- $carry = floor($temp / 0x4000000);
- $product->value[$j] = $temp - 0x4000000 * $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 < $x_length; $i++) {
- $carry = 0;
-
- for ($j = 0, $k = $i; $j < $this_length; $j++, $k++) {
- $temp = $product->value[$k] + $this->value[$j] * $x->value[$i] + $carry;
- $carry = floor($temp / 0x4000000);
- $product->value[$k] = $temp - 0x4000000 * $carry;
- }
-
- $product->value[$k] = $carry;
- }
-
- $product->is_negative = $this->is_negative != $x->is_negative;
-
- return $this->_normalize($product);
- }
-
- /**
- * 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 Math_BigInteger $y
- * @return Math_BigInteger
- * @access private
- */
- function _karatsuba($y)
- {
- $x = $this->copy();
-
- $m = min(count($x->value) >> 1, count($y->value) >> 1);
-
- if ($m < MATH_BIGINTEGER_KARATSUBA_CUTOFF) {
- return $x->_multiply($y);
- }
-
- $x1 = new Math_BigInteger();
- $x0 = new Math_BigInteger();
- $y1 = new Math_BigInteger();
- $y0 = new Math_BigInteger();
-
- $x1->value = array_slice($x->value, $m);
- $x0->value = array_slice($x->value, 0, $m);
- $y1->value = array_slice($y->value, $m);
- $y0->value = array_slice($y->value, 0, $m);
-
- $z2 = $x1->_karatsuba($y1);
- $z0 = $x0->_karatsuba($y0);
-
- $z1 = $x1->add($x0);
- $z1 = $z1->_karatsuba($y1->add($y0));
- $z1 = $z1->subtract($z2->add($z0));
-
- $z2->value = array_merge(array_fill(0, 2 * $m, 0), $z2->value);
- $z1->value = array_merge(array_fill(0, $m, 0), $z1->value);
-
- $xy = $z2->add($z1);
- $xy = $xy->add($z0);
-
- return $xy;
- }
-
- /**
- * Squares a BigInteger
- *
- * @return Math_BigInteger
- * @access private
- */
- function _square()
- {
- static $cutoff = false;
- if ($cutoff === false) {
- $cutoff = 2 * MATH_BIGINTEGER_KARATSUBA_CUTOFF;
- }
-
- return count($this->value) < $cutoff ? $this->_baseSquare() : $this->_karatsubaSquare();
- }
-
- /**
- * Performs traditional squaring on two BigIntegers
- *
- * Squaring can be done faster than multiplying a number by itself can be. See
- * {@link http://www.cacr.math.uwaterloo.ca/hac/about/chap14.pdf#page=7 HAC 14.2.4} /
- * {@link http://math.libtomcrypt.com/files/tommath.pdf#page=141 MPM 5.3} for more information.
- *
- * @return Math_BigInteger
- * @access private
- */
- function _baseSquare()
- {
- if ( empty($this->value) ) {
- return new Math_BigInteger();
- }
-
- $square = new Math_BigInteger();
- $square->value = $this->_array_repeat(0, 2 * count($this->value));
-
- for ($i = 0, $max_index = count($this->value) - 1; $i <= $max_index; $i++) {
- $i2 = 2 * $i;
-
- $temp = $square->value[$i2] + $this->value[$i] * $this->value[$i];
- $carry = floor($temp / 0x4000000);
- $square->value[$i2] = $temp - 0x4000000 * $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 * $this->value[$j] * $this->value[$i] + $carry;
- $carry = floor($temp / 0x4000000);
- $square->value[$k] = $temp - 0x4000000 * $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;
- }
-
- /**
- * 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 Math_BigInteger $y
- * @return Math_BigInteger
- * @access private
- */
- function _karatsubaSquare()
- {
- $m = count($this->value) >> 1;
-
- if ($m < MATH_BIGINTEGER_KARATSUBA_CUTOFF) {
- return $this->_square();
- }
-
- $x1 = new Math_BigInteger();
- $x0 = new Math_BigInteger();
-
- $x1->value = array_slice($this->value, $m);
- $x0->value = array_slice($this->value, 0, $m);
-
- $z2 = $x1->_karatsubaSquare();
- $z0 = $x0->_karatsubaSquare();
-
- $z1 = $x1->add($x0);
- $z1 = $z1->_karatsubaSquare();
- $z1 = $z1->subtract($z2->add($z0));
-
- $z2->value = array_merge(array_fill(0, 2 * $m, 0), $z2->value);
- $z1->value = array_merge(array_fill(0, $m, 0), $z1->value);
-
- $xx = $z2->add($z1);
- $xx = $xx->add($z0);
-
- return $xx;
- }
-
- /**
- * 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);
- $remainder->value = bcmod($this->value, $y->value);
-
- if ($remainder->value[0] == '-') {
- $remainder->value = bcadd($remainder->value, $y->value[0] == '-' ? substr($y->value, 1) : $y->value);
- }
-
- return array($this->_normalize($quotient), $this->_normalize($remainder));
- }
-
- if (count($y->value) == 1) {
- $temp = $this->_divide_digit($y->value[0]);
- $temp[0]->is_negative = $this->is_negative != $y->is_negative;
- return array($this->_normalize($temp[0]), $this->_normalize($temp[1]));
- }
-
- 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 & 0x2000000); $shift++) {
- $msb <<= 1;
- }
- $x->_lshift($shift);
- $y->_lshift($shift);
-
- $x_max = count($x->value) - 1;
- $y_max = count($y->value) - 1;
-
- $quotient = new Math_BigInteger();
- $quotient->value = $this->_array_repeat(0, $x_max - $y_max + 1);
-
- // $temp = $y << ($x_max - $y_max-1) in base 2**26
- $temp = new Math_BigInteger();
- $temp->value = array_merge($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 = array(
- $x->value[$i],
- ( $i > 0 ) ? $x->value[$i - 1] : 0,
- ( $i > 1 ) ? $x->value[$i - 2] : 0
- );
- $y_value = array(
- $y->value[$y_max],
- ( $y_max > 0 ) ? $y->value[$y_max - 1] : 0
- );
-
- $q_index = $i - $y_max - 1;
- if ($x_value[0] == $y_value[0]) {
- $quotient->value[$q_index] = 0x3FFFFFF;
- } else {
- $quotient->value[$q_index] = floor(
- ($x_value[0] * 0x4000000 + $x_value[1])
- /
- $y_value[0]
- );
- }
-
- $temp = new Math_BigInteger();
- $temp->value = array($y_value[1], $y_value[0]);
-
- $lhs = new Math_BigInteger();
- $lhs->value = array($quotient->value[$q_index]);
- $lhs = $lhs->multiply($temp);
-
- $rhs = new Math_BigInteger();
- $rhs->value = array($x_value[2], $x_value[1], $x_value[0]);
-
- while ( $lhs->compare($rhs) > 0 ) {
- $quotient->value[$q_index]--;
-
- $lhs = new Math_BigInteger();
- $lhs->value = array($quotient->value[$q_index]);
- $lhs = $lhs->multiply($temp);
- }
-
- $adjust = $this->_array_repeat(0, $q_index);
- $temp = new Math_BigInteger();
- $temp->value = array($quotient->value[$q_index]);
- $temp = $temp->multiply($y);
- $temp->value = array_merge($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 Math_BigInteger $divisor
- * @return Array
- * @access public
- */
- function _divide_digit($divisor)
- {
- $carry = 0;
- $result = new Math_BigInteger();
-
- for ($i = count($this->value) - 1; $i >= 0; $i--) {
- $temp = 0x4000000 * $carry + $this->value[$i];
- $result->value[$i] = floor($temp / $divisor);
- $carry = fmod($temp, $divisor);
- }
-
- $remainder = new Math_BigInteger();
- $remainder->value = array($carry);
-
- return array($result, $remainder);
- }
-
- /**
- * 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));
- }
-
- switch ( MATH_BIGINTEGER_MODE ) {
- case MATH_BIGINTEGER_MODE_GMP:
- $temp = new Math_BigInteger();
- $temp->value = gmp_powm($this->value, $e->value, $n->value);
-
- return $this->_normalize($temp);
- case MATH_BIGINTEGER_MODE_BCMATH:
- $temp = new Math_BigInteger();
- $temp->value = bcpowmod($this->value, $e->value, $n->value);
-
- 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 = $this->_square();
- 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
-
- $e_length = count($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]), 26, '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++, $i++);
- switch ($mode) {
- case MATH_BIGINTEGER_MONTGOMERY:
- $reduce = '_montgomery';
- $prep = '_prepMontgomery';
- break;
- case MATH_BIGINTEGER_BARRETT:
- $reduce = '_barrett';
- $prep = '_barrett';
- break;
- case MATH_BIGINTEGER_POWEROF2:
- $reduce = '_mod2';
- $prep = '_mod2';
- break;
- case MATH_BIGINTEGER_CLASSIC:
- $reduce = '_remainder';
- $prep = '_remainder';
- break;
- case MATH_BIGINTEGER_NONE:
- // ie. do no modular reduction. useful if you want to just do pow as opposed to modPow.
- $reduce = 'copy';
- $prep = 'copy';
- break;
- default:
- // an invalid $mode was provided
- }
-
- // precompute $this^0 through $this^$window_size
- $powers = array();
- $powers[1] = $this->$prep($n);
- $powers[2] = $powers[1]->_square();
- $powers[2] = $powers[2]->$reduce($n);
-
- // we do every other number since substr($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++) {
- $powers[2 * $i + 1] = $powers[2 * $i - 1]->multiply($powers[2]);
- $powers[2 * $i + 1] = $powers[2 * $i + 1]->$reduce($n);
- }
-
- $result = new Math_BigInteger();
- $result->value = array(1);
- $result = $result->$prep($n);
-
- for ($i = 0; $i < $e_length; ) {
- if ( !$e_bits[$i] ) {
- $result = $result->_square();
- $result = $result->$reduce($n);
- $i++;
- } else {
- for ($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 = $result->_square();
- $result = $result->$reduce($n);
- }
-
- $result = $result->multiply($powers[bindec(substr($e_bits, $i, $j + 1))]);
- $result = $result->$reduce($n);
-
- $i+=$j + 1;
- }
- }
-
- $result = $result->$reduce($n);
-
- return $result;
- }
-
- /**
- * Remainder
- *
- * A wrapper for the divide function.
- *
- * @see divide()
- * @see _slidingWindow()
- * @access private
- * @param Math_BigInteger
- * @return Math_BigInteger
- */
- function _remainder($n)
- {
- list(, $temp) = $this->divide($n);
- return $temp;
- }
-
- /**
- * 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($temp));
- }
-
- /**
- * Barrett Modular Reduction
- *
- * See {@link http://www.cacr.math.uwaterloo.ca/hac/about/chap14.pdf#page=14 HAC 14.3.3} /
- * {@link http://math.libtomcrypt.com/files/tommath.pdf#page=165 MPM 6.2.5} for more information. Modified slightly,
- * so as not to require negative numbers (initially, this script didn't support negative numbers).
- *
- * @see _slidingWindow()
- * @access private
- * @param Math_BigInteger
- * @return Math_BigInteger
- */
- function _barrett($n)
- {
- static $cache = array(
- MATH_BIGINTEGER_VARIABLE => array(),
- MATH_BIGINTEGER_DATA => array()
- );
-
- $n_length = count($n->value);
-
- if (count($this->value) > 2 * $n_length) {
- list(, $temp) = $this->divide($n);
- return $temp;
- }
-
- if ( ($key = array_search($n->value, $cache[MATH_BIGINTEGER_VARIABLE])) === false ) {
- $key = count($cache[MATH_BIGINTEGER_VARIABLE]);
- $cache[MATH_BIGINTEGER_VARIABLE][] = $n->value;
- $temp = new Math_BigInteger();
- $temp->value = $this->_array_repeat(0, 2 * $n_length);
- $temp->value[] = 1;
- list($cache[MATH_BIGINTEGER_DATA][], ) = $temp->divide($n);
- }
-
- $temp = new Math_BigInteger();
- $temp->value = array_slice($this->value, $n_length - 1);
- $temp = $temp->multiply($cache[MATH_BIGINTEGER_DATA][$key]);
- $temp->value = array_slice($temp->value, $n_length + 1);
-
- $result = new Math_BigInteger();
- $result->value = array_slice($this->value, 0, $n_length + 1);
- $temp = $temp->_multiplyLower($n, $n_length + 1);
- // $temp->value == array_slice($temp->multiply($n)->value, 0, $n_length + 1)
-
- if ($result->compare($temp) < 0) {
- $corrector = new Math_BigInteger();
- $corrector->value = $this->_array_repeat(0, $n_length + 1);
- $corrector->value[] = 1;
- $result = $result->add($corrector);
- }
-
- $result = $result->subtract($temp);
- while ($result->compare($n) > 0) {
- $result = $result->subtract($n);
- }
-
- return $result;
- }
-
- /**
- * Montgomery Modular Reduction
- *
- * ($this->_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($n, 2) must be equal to one for this function
- * to work correctly.
- *
- * @see _prepMontgomery()
- * @see _slidingWindow()
- * @access private
- * @param Math_BigInteger
- * @return Math_BigInteger
- */
- function _montgomery($n)
- {
- static $cache = array(
- MATH_BIGINTEGER_VARIABLE => array(),
- MATH_BIGINTEGER_DATA => array()
- );
-
- if ( ($key = array_search($n->value, $cache[MATH_BIGINTEGER_VARIABLE])) === false ) {
- $key = count($cache[MATH_BIGINTEGER_VARIABLE]);
- $cache[MATH_BIGINTEGER_VARIABLE][] = $n->value;
- $cache[MATH_BIGINTEGER_DATA][] = $n->_modInverse67108864();
- }
-
- $k = count($n->value);
-
- $result = $this->copy();
-
- for ($i = 0; $i < $k; $i++) {
- $temp = new Math_BigInteger();
- $temp->value = array(
- ($result->value[$i] * $cache[MATH_BIGINTEGER_DATA][$key]) & 0x3FFFFFF
- );
-
- $temp = $temp->multiply($n);
- $temp->value = array_merge($this->_array_repeat(0, $i), $temp->value);
- $result = $result->add($temp);
- }
-
- $result->value = array_slice($result->value, $k);
-
- if ($result->compare($n) >= 0) {
- $result = $result->subtract($n);
- }
-
- return $result;
- }
-
- /**
- * Prepare a number for use in Montgomery Modular Reductions
- *
- * @see _montgomery()
- * @see _slidingWindow()
- * @access private
- * @param Math_BigInteger
- * @return Math_BigInteger
- */
- function _prepMontgomery($n)
- {
- $k = count($n->value);
-
- $temp = new Math_BigInteger();
- $temp->value = array_merge($this->_array_repeat(0, $k), $this->value);
-
- list(, $temp) = $temp->divide($n);
- return $temp;
- }
-
- /**
- * 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
- * @return Integer
- */
- function _modInverse67108864() // 2**26 == 67108864
- {
- $x = -$this->value[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, 0x4000000)), 0x4000000); // x**-1 mod 2**26
- return $result & 0x3FFFFFF;
- }
-
- /**
- * 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 $negated === false ? false : $this->_normalize($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 Bézout's identity.
- *
- * Say you have 693 and 609. The GCD is 21. Bézout'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 Bézout'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) {
- $q = bcdiv($u, $v);
-
- $temp = $u;
- $u = $v;
- $v = bcsub($temp, bcmul($v, $q));
-
- $temp = $a;
- $a = $c;
- $c = bcsub($temp, bcmul($a, $q));
-
- $temp = $b;
- $b = $d;
- $d = bcsub($temp, bcmul($b, $q));
- }
-
- 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 = $g->value = array(1);
-
- while ( !empty($u->value) ) {
- while ( !($u->value[0] & 1) ) {
- $u->_rshift(1);
- if ( ($a->value[0] & 1) || ($b->value[0] & 1) ) {
- $a = $a->add($y);
- $b = $b->subtract($x);
- }
- $a->_rshift(1);
- $b->_rshift(1);
- }
-
- while ( !($v->value[0] & 1) ) {
- $v->_rshift(1);
- if ( ($c->value[0] & 1) || ($d->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) ? 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 $x
- * @return Integer < 0 if $this is less than $x; > 0 if $this is greater than $x, and 0 if they are equal.
- * @access public
- * @see equals()
- * @internal Could return $this->sub($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);
- }
-
- $x = $this->_normalize($this->copy());
- $y = $this->_normalize($y);
-
- if ( $x->is_negative != $y->is_negative ) {
- return ( !$x->is_negative && $y->is_negative ) ? 1 : -1;
- }
-
- $result = $x->is_negative ? -1 : 1;
-
- if ( count($x->value) != count($y->value) ) {
- return ( count($x->value) > count($y->value) ) ? $result : -$result;
- }
-
- 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 Math_BigInteger $x
- * @access public
- * @return Math_BigInteger
- */
- function setPrecision($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));
- }
- }
-
- /**
- * 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] = $result->value[$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, 0, $length);
- $x->value = array_pad($x->value, 0, $length);
-
- for ($i = 0; $i < $length; $i++) {
- $result->value[$i] = $this->value[$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, 0, $length);
- $x->value = array_pad($x->value, 0, $length);
-
- for ($i = 0; $i < $length; $i++) {
- $result->value[$i] = $this->value[$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 $two;
-
- if (empty($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));
-
- 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 $two;
-
- if (empty($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));
-
- 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
- *
- * $generator should be the name of a random generating function whose first parameter is the minimum
- * value and whose second parameter is the maximum value. If this function needs to be seeded, it should
- * be seeded prior to calling Math_BigInteger::random() or Math_BigInteger::randomPrime()
- *
- * If the random generating function is not explicitly set, it'll be assumed to be mt_rand().
- *
- * @see random()
- * @see randomPrime()
- * @param optional String $generator
- * @access public
- */
- function setRandomGenerator($generator)
- {
- $this->generator = $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;
- }
-
- $generator = $this->generator;
-
- $max = $max->subtract($min);
- $max = ltrim($max->toBytes(), chr(0));
- $size = strlen($max) - 1;
- $random = '';
-
- $bytes = $size & 1;
- for ($i = 0; $i < $bytes; $i++) {
- $random.= chr($generator(0, 255));
- }
-
- $blocks = $size >> 1;
- for ($i = 0; $i < $blocks; $i++) {
- // mt_rand(-2147483648, 0x7FFFFFFF) always produces -2147483648 on some systems
- $random.= pack('n', $generator(0, 0xFFFF));
- }
-
- $temp = new Math_BigInteger($random, 256);
- if ($temp->compare(new Math_BigInteger(substr($max, 1), 256)) > 0) {
- $random = chr($generator(0, ord($max[0]) - 1)) . $random;
- } else {
- $random = chr($generator(0, ord($max[0]) )) . $random;
- }
-
- $random = new Math_BigInteger($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)
- {
- // 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') ) {
- // we don't rely on Math_BigInteger::random()'s min / max when gmp_nextprime() is being used since this function
- // does its own checks on $max / $min when gmp_nextprime() is used. When gmp_nextprime() is not used, however,
- // the same $max / $min checks are not performed.
- if ($min === false) {
- $min = new Math_BigInteger(0);
- }
-
- if ($max === false) {
- $max = new Math_BigInteger(0x7FFFFFFF);
- }
-
- $compare = $max->compare($min);
-
- if (!$compare) {
- return $min;
- } else if ($compare < 0) {
- // if $min is bigger then $max, swap $min and $max
- $temp = $max;
- $max = $min;
- $min = $temp;
- }
-
- $x = $this->random($min, $max);
-
- $x->value = gmp_nextprime($x->value);
-
- if ($x->compare($max) <= 0) {
- return $x;
- }
-
- $x->value = gmp_nextprime($min->value);
-
- if ($x->compare($max) <= 0) {
- return $x;
- }
-
- return false;
- }
-
- $repeat1 = $repeat2 = array();
-
- $one = new Math_BigInteger(1);
- $two = new Math_BigInteger(2);
-
- $start = time();
-
- do {
- if ($timeout !== false && time() - $start > $timeout) {
- return false;
- }
-
- $x = $this->random($min, $max);
- if ($x->equals($two)) {
- return $x;
- }
-
- // make the number odd
- switch ( MATH_BIGINTEGER_MODE ) {
- case MATH_BIGINTEGER_MODE_GMP:
- gmp_setbit($x->value, 0);
- break;
- case MATH_BIGINTEGER_MODE_BCMATH:
- if ($x->value[strlen($x->value) - 1] % 2 == 0) {
- $x = $x->add($one);
- }
- break;
- default:
- $x->value[0] |= 1;
- }
-
- // if we've seen this number twice before, assume there are no prime numbers within the given range
- if (in_array($x->value, $repeat1)) {
- if (in_array($x->value, $repeat2)) {
- return false;
- } else {
- $repeat2[] = $x->value;
- }
- } else {
- $repeat1[] = $x->value;
- }
- } while (!$x->isPrime());
-
- return $x;
- }
-
- /**
- * Checks a numer to see if it's prime
- *
- * Assuming the $t parameter is not set, this functoin 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)) {
- $primes = array(
- 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59,
- 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137,
- 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199, 211, 223, 227,
- 229, 233, 239, 241, 251, 257, 263, 269, 271, 277, 281, 283, 293, 307, 311, 313,
- 317, 331, 337, 347, 349, 353, 359, 367, 373, 379, 383, 389, 397, 401, 409, 419,
- 421, 431, 433, 439, 443, 449, 457, 461, 463, 467, 479, 487, 491, 499, 503, 509,
- 521, 523, 541, 547, 557, 563, 569, 571, 577, 587, 593, 599, 601, 607, 613, 617,
- 619, 631, 641, 643, 647, 653, 659, 661, 673, 677, 683, 691, 701, 709, 719, 727,
- 733, 739, 743, 751, 757, 761, 769, 773, 787, 797, 809, 811, 821, 823, 827, 829,
- 839, 853, 857, 859, 863, 877, 881, 883, 887, 907, 911, 919, 929, 937, 941, 947,
- 953, 967, 971, 977, 983, 991, 997
- );
-
- for ($i = 0; $i < count($primes); $i++) {
- $primes[$i] = new Math_BigInteger($primes[$i]);
- }
-
- $zero = new Math_BigInteger();
- $one = new Math_BigInteger(1);
- $two = new Math_BigInteger(2);
- }
-
- // see HAC 4.4.1 "Random search for probable primes"
- for ($i = 0; $i < count($primes); $i++) {
- list(, $r) = $this->divide($primes[$i]);
- if ($r->equals($zero)) {
- return false;
- }
- }
-
- $n = $this->copy();
- $n_1 = $n->subtract($one);
- $n_2 = $n->subtract($two);
-
- $r = $n_1->copy();
- // 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 ) {
- $s = 0;
- while ($r->value[strlen($r->value) - 1] % 2 == 0) {
- $r->value = bcdiv($r->value, 2);
- $s++;
- }
- } else {
- for ($i = 0; $i < count($r->value); $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 = new Math_BigInteger();
- $a = $a->random($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;
- }
-
- $num_digits = floor($shift / 26);
- $shift %= 26;
- $shift = 1 << $shift;
-
- $carry = 0;
-
- for ($i = 0; $i < count($this->value); $i++) {
- $temp = $this->value[$i] * $shift + $carry;
- $carry = floor($temp / 0x4000000);
- $this->value[$i] = $temp - $carry * 0x4000000;
- }
-
- 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;
- }
-
- $num_digits = floor($shift / 26);
- $shift %= 26;
- $carry_shift = 26 - $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] = $temp;
- }
- }
-
- /**
- * Normalize
- *
- * Deletes leading zeros and truncates (if necessary) to maintain the appropriate precision
- *
- * @return Math_BigInteger
- * @access private
- */
- function _normalize($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 $result;
- }
-
- if ( !count($result->value) ) {
- return $result;
- }
-
- for ($i = count($result->value) - 1; $i >= 0; $i--) {
- if ( $result->value[$i] ) {
- break;
- }
- unset($result->value[$i]);
- }
-
- if (!empty($result->bitmask->value)) {
- $length = min(count($result->value), count($this->bitmask->value));
- $result->value = array_slice($result->value, 0, $length);
-
- for ($i = 0; $i < $length; $i++) {
- $result->value[$i] = $result->value[$i] & $this->bitmask->value[$i];
- }
- }
-
- return $result;
- }
-
- /**
- * 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'];
- }
+<?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: This library is free software; you can redistribute it and/or + * modify it under the terms of the GNU Lesser General Public + * License as published by the Free Software Foundation; either + * version 2.1 of the License, or (at your option) any later version. + * + * This library is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + * Lesser General Public License for more details. + * + * You should have received a copy of the GNU Lesser General Public + * License along with this library; if not, write to the Free Software + * Foundation, Inc., 59 Temple Place, Suite 330, Boston, + * MA 02111-1307 USA + * + * @category Math + * @package Math_BigInteger + * @author Jim Wigginton <terrafrost@php.net> + * @copyright MMVI Jim Wigginton + * @license http://www.gnu.org/licenses/lgpl.txt + * @version $Id: BigInteger.php,v 1.31 2010/03/01 17:28:19 terrafrost Exp $ + * @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); +/**#@-*/ + +/** + * 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) + * + * @access private + */ +define('MATH_BIGINTEGER_MAX_DIGIT52', pow(2, 52)); + +/** + * 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 independant 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 (eg. 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, $base = 10) + { + if ( !defined('MATH_BIGINTEGER_MODE') ) { + switch (true) { + case extension_loaded('gmp'): + define('MATH_BIGINTEGER_MODE', MATH_BIGINTEGER_MODE_GMP); + break; + case extension_loaded('bcmath'): + define('MATH_BIGINTEGER_MODE', MATH_BIGINTEGER_MODE_BCMATH); + break; + default: + define('MATH_BIGINTEGER_MODE', MATH_BIGINTEGER_MODE_INTERNAL); + } + } + + switch ( MATH_BIGINTEGER_MODE ) { + case MATH_BIGINTEGER_MODE_GMP: + if (is_resource($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: + $this->value = array(); + } + + if ($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($x, 26)); + } + } + + if ($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: + $x = preg_replace('#^(-?[0-9]*).*#', '$1', $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 = (string) $x; + break; + default: + $temp = new Math_BigInteger(); + + // array(10000000) is 10**7 in base-2**26. 10**7 is the closest to 2**26 we can get without passing it. + $multiplier = new Math_BigInteger(); + $multiplier->value = array(10000000); + + if ($x[0] == '-') { + $this->is_negative = true; + $x = substr($x, 1); + } + + $x = str_pad($x, strlen($x) + (6 * strlen($x)) % 7, 0, STR_PAD_LEFT); + + while (strlen($x)) { + $temp = $temp->multiply($multiplier); + $temp = $temp->add(new Math_BigInteger($this->_int2bytes(substr($x, 0, 7)), 256)); + $x = substr($x, 7); + } + + $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, 26); + $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 = 0; $i < strlen($hex); $i+=8) { + $bits.= str_pad(decbin(hexdec(substr($hex, $i, 8))), 32, '0', STR_PAD_LEFT); + } + return $this->precision > 0 ? substr($bits, -$this->precision) : ltrim($bits, '0'); + } + + /** + * 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(10000000); // eg. 10**7 + $result = ''; + while (count($temp->value)) { + list($temp, $mod) = $temp->divide($divisor); + $result = str_pad(isset($mod->value[0]) ? $mod->value[0] : '', 7, '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] * 0x4000000 + $x_value[$i] + $y_value[$j] * 0x4000000 + $y_value[$i] + $carry; + $carry = $sum >= MATH_BIGINTEGER_MAX_DIGIT52; // eg. floor($sum / 2**52); only possible values (in any base) are 0 and 1 + $sum = $carry ? $sum - MATH_BIGINTEGER_MAX_DIGIT52 : $sum; + + $temp = (int) ($sum / 0x4000000); + + $value[$i] = (int) ($sum - 0x4000000 * $temp); // eg. a faster alternative to fmod($sum, 0x4000000) + $value[$j] = $temp; + } + + if ($j == $size) { // ie. if $y_size is odd + $sum = $x_value[$i] + $y_value[$i] + $carry; + $carry = $sum >= 0x4000000; + $value[$i] = $carry ? $sum - 0x4000000 : $sum; + ++$i; // ie. let $i = $j since we've just done $value[$i] + } + + if ($carry) { + for (; $value[$i] == 0x3FFFFFF; ++$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] * 0x4000000 + $x_value[$i] - $y_value[$j] * 0x4000000 - $y_value[$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_DIGIT52 : $sum; + + $temp = (int) ($sum / 0x4000000); + + $x_value[$i] = (int) ($sum - 0x4000000 * $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 + 0x4000000 : $sum; + ++$i; + } + + if ($carry) { + for (; !$x_value[$i]; ++$i) { + $x_value[$i] = 0x3FFFFFF; + } + --$x_value[$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 / 0x4000000); + $product_value[$j] = (int) ($temp - 0x4000000 * $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 / 0x4000000); + $product_value[$k] = (int) ($temp - 0x4000000 * $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 / 0x4000000); + $square_value[$i2] = (int) ($temp - 0x4000000 * $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 / 0x4000000); + $square_value[$k] = (int) ($temp - 0x4000000 * $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 & 0x2000000); ++$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] = 0x3FFFFFF; + } else { + $quotient_value[$q_index] = (int) ( + ($x_window[0] * 0x4000000 + $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 = 0x4000000 * $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)); + } + + switch ( MATH_BIGINTEGER_MODE ) { + case MATH_BIGINTEGER_MODE_GMP: + $temp = new Math_BigInteger(); + $temp->value = gmp_powm($this->value, $e->value, $n->value); + + return $this->_normalize($temp); + case 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]), 26, '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, 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 $y_negative + * @return Array + * @access private + */ + function _multiplyLower($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 / 0x4000000); + $product_value[$j] = (int) ($temp - 0x4000000 * $carry); + } + + if ($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 / 0x4000000); + $product_value[$k] = (int) ($temp - 0x4000000 * $carry); + } + + if ($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 - 0x4000000 * ((int) ($temp / 0x4000000))); + $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 - 0x4000000 * ((int) ($temp / 0x4000000))); + $temp = $temp * $cache[MATH_BIGINTEGER_DATA][$key]; + $temp = (int) ($temp - 0x4000000 * ((int) ($temp / 0x4000000))); + $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 == 67108864 + { + $x = -$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, 0x4000000)), 0x4000000); // x**-1 mod 2**26 + return $result & 0x3FFFFFF; + } + + /** + * 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 $negated === false ? false : $this->_normalize($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 Bézout's identity. + * + * Say you have 693 and 609. The GCD is 21. Bézout'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 Bézout'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 $x + * @return Integer < 0 if $this is less than $x; > 0 if $this is greater than $x, 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 Math_BigInteger $x + * @access public + * @return Math_BigInteger + */ + function setPrecision($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] = $result->value[$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, 0, $length); + $x->value = array_pad($x->value, 0, $length); + + for ($i = 0; $i < $length; ++$i) { + $result->value[$i] = $this->value[$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, 0, $length); + $x->value = array_pad($x->value, 0, $length); + + for ($i = 0; $i < $length; ++$i) { + $result->value[$i] = $this->value[$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 + * + * $generator should be the name of a random generating function whose first parameter is the minimum + * value and whose second parameter is the maximum value. If this function needs to be seeded, it should + * be seeded prior to calling Math_BigInteger::random() or Math_BigInteger::randomPrime() + * + * If the random generating function is not explicitly set, it'll be assumed to be mt_rand(). + * + * @see random() + * @see randomPrime() + * @param optional String $generator + * @access public + */ + function setRandomGenerator($generator) + { + $this->generator = $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; + } + + $generator = $this->generator; + + $max = $max->subtract($min); + $max = ltrim($max->toBytes(), chr(0)); + $size = strlen($max) - 1; + $random = ''; + + $bytes = $size & 1; + for ($i = 0; $i < $bytes; ++$i) { + $random.= chr($generator(0, 255)); + } + + $blocks = $size >> 1; + for ($i = 0; $i < $blocks; ++$i) { + // mt_rand(-2147483648, 0x7FFFFFFF) always produces -2147483648 on some systems + $random.= pack('n', $generator(0, 0xFFFF)); + } + + $temp = new Math_BigInteger($random, 256); + if ($temp->compare(new Math_BigInteger(substr($max, 1), 256)) > 0) { + $random = chr($generator(0, ord($max[0]) - 1)) . $random; + } else { + $random = chr($generator(0, ord($max[0]) )) . $random; + } + + $random = new Math_BigInteger($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) + { + $compare = $max->compare($min); + + if (!$compare) { + return $min; + } else if ($compare < 0) { + // if $min is bigger then $max, swap $min and $max + $temp = $max; + $max = $min; + $min = $temp; + } + + // 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') ) { + // we don't rely on Math_BigInteger::random()'s min / max when gmp_nextprime() is being used since this function + // does its own checks on $max / $min when gmp_nextprime() is used. When gmp_nextprime() is not used, however, + // the same $max / $min checks are not performed. + if ($min === false) { + $min = new Math_BigInteger(0); + } + + if ($max === false) { + $max = new Math_BigInteger(0x7FFFFFFF); + } + + $x = $this->random($min, $max); + + $x->value = gmp_nextprime($x->value); + + if ($x->compare($max) <= 0) { + return $x; + } + + $x->value = gmp_nextprime($min->value); + + if ($x->compare($max) <= 0) { + return $x; + } + + return false; + } + + static $one, $two; + if (!isset($one)) { + $one = new Math_BigInteger(1); + $two = new Math_BigInteger(2); + } + + $start = time(); + + $x = $this->random($min, $max); + if ($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 / 26); + $shift %= 26; + $shift = 1 << $shift; + + $carry = 0; + + for ($i = 0; $i < count($this->value); ++$i) { + $temp = $this->value[$i] * $shift + $carry; + $carry = (int) ($temp / 0x4000000); + $this->value[$i] = (int) ($temp - $carry * 0x4000000); + } + + 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 / 26); + $shift %= 26; + $carry_shift = 26 - $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 $result; + } + + /** + * Trim + * + * Removes leading zeros + * + * @return Math_BigInteger + * @access private + */ + function _trim($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']; + } }
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