diff options
| -rw-r--r-- | plugins/OStatus/classes/Magicsig.php | 106 | ||||
| -rw-r--r-- | plugins/OStatus/extlib/Crypt/AES.php | 479 | ||||
| -rw-r--r-- | plugins/OStatus/extlib/Crypt/DES.php | 945 | ||||
| -rw-r--r-- | plugins/OStatus/extlib/Crypt/Hash.php | 816 | ||||
| -rw-r--r-- | plugins/OStatus/extlib/Crypt/RC4.php | 493 | ||||
| -rw-r--r-- | plugins/OStatus/extlib/Crypt/RSA.php | 2262 | ||||
| -rw-r--r-- | plugins/OStatus/extlib/Crypt/RSA/ErrorHandler.php | 234 | ||||
| -rw-r--r-- | plugins/OStatus/extlib/Crypt/RSA/Key.php | 315 | ||||
| -rw-r--r-- | plugins/OStatus/extlib/Crypt/RSA/KeyPair.php | 804 | ||||
| -rw-r--r-- | plugins/OStatus/extlib/Crypt/RSA/Math/BCMath.php | 482 | ||||
| -rw-r--r-- | plugins/OStatus/extlib/Crypt/RSA/Math/BigInt.php | 313 | ||||
| -rw-r--r-- | plugins/OStatus/extlib/Crypt/RSA/Math/GMP.php | 361 | ||||
| -rw-r--r-- | plugins/OStatus/extlib/Crypt/RSA/MathLoader.php | 135 | ||||
| -rw-r--r-- | plugins/OStatus/extlib/Crypt/Random.php | 125 | ||||
| -rw-r--r-- | plugins/OStatus/extlib/Crypt/Rijndael.php | 1242 | ||||
| -rw-r--r-- | plugins/OStatus/extlib/Crypt/TripleDES.php | 690 | ||||
| -rw-r--r-- | plugins/OStatus/extlib/Math/BigInteger.php | 3545 |
17 files changed, 10303 insertions, 3044 deletions
diff --git a/plugins/OStatus/classes/Magicsig.php b/plugins/OStatus/classes/Magicsig.php index b0a411e5d..73690965f 100644 --- a/plugins/OStatus/classes/Magicsig.php +++ b/plugins/OStatus/classes/Magicsig.php @@ -40,8 +40,9 @@ class Magicsig extends Memcached_DataObject public $keypair; public $alg; - private $_rsa; - + public $publicKey; + public $privateKey; + public function __construct($alg = 'RSA-SHA256') { $this->alg = $alg; @@ -99,17 +100,20 @@ class Magicsig extends Memcached_DataObject return parent::insert(); } - public function generate($user_id, $key_length = 512) + public function generate($user_id) { - PEAR::pushErrorHandling(PEAR_ERROR_RETURN); + $rsa = new Crypt_RSA(); + + $keypair = $rsa->createKey(); - $keypair = new Crypt_RSA_KeyPair($key_length); - $params['public_key'] = $keypair->getPublicKey(); - $params['private_key'] = $keypair->getPrivateKey(); + $rsa->loadKey($keypair['privatekey']); - $this->_rsa = new Crypt_RSA($params); - PEAR::popErrorHandling(); + $this->privateKey = new Crypt_RSA(); + $this->privateKey->loadKey($keypair['privatekey']); + $this->publicKey = new Crypt_RSA(); + $this->publicKey->loadKey($keypair['publickey']); + $this->user_id = $user_id; $this->insert(); } @@ -117,14 +121,11 @@ class Magicsig extends Memcached_DataObject public function toString($full_pair = true) { - $public_key = $this->_rsa->_public_key; - $private_key = $this->_rsa->_private_key; - - $mod = base64_url_encode($public_key->getModulus()); - $exp = base64_url_encode($public_key->getExponent()); + $mod = base64_url_encode($this->publicKey->modulus->toBytes()); + $exp = base64_url_encode($this->publicKey->exponent->toBytes()); $private_exp = ''; - if ($full_pair && $private_key->getExponent()) { - $private_exp = '.' . base64_url_encode($private_key->getExponent()); + if ($full_pair && $this->privateKey->exponent->toBytes()) { + $private_exp = '.' . base64_url_encode($this->privateKey->exponent->toBytes()); } return 'RSA.' . $mod . '.' . $exp . $private_exp; @@ -132,8 +133,6 @@ class Magicsig extends Memcached_DataObject public static function fromString($text) { - PEAR::pushErrorHandling(PEAR_ERROR_RETURN); - $magic_sig = new Magicsig(); // remove whitespace @@ -144,35 +143,40 @@ class Magicsig extends Memcached_DataObject return false; } - $mod = base64_url_decode($matches[1]); - $exp = base64_url_decode($matches[2]); + $mod = $matches[1]; + $exp = $matches[2]; if (!empty($matches[4])) { - $private_exp = base64_url_decode($matches[4]); + $private_exp = $matches[4]; } else { $private_exp = false; } - $params['public_key'] = new Crypt_RSA_KEY($mod, $exp, 'public'); - if ($params['public_key']->isError()) { - $error = $params['public_key']->getLastError(); - common_log(LOG_DEBUG, 'RSA Error: '. $error->getMessage()); - return false; - } + $magic_sig->loadKey($mod, $exp, 'public'); if ($private_exp) { - $params['private_key'] = new Crypt_RSA_KEY($mod, $private_exp, 'private'); - if ($params['private_key']->isError()) { - $error = $params['private_key']->getLastError(); - common_log(LOG_DEBUG, 'RSA Error: '. $error->getMessage()); - return false; - } + $magic_sig->loadKey($mod, $private_exp, 'private'); } - $magic_sig->_rsa = new Crypt_RSA($params); - PEAR::popErrorHandling(); - return $magic_sig; } + public function loadKey($mod, $exp, $type = 'public') + { + common_log(LOG_DEBUG, "Adding ".$type." key: (".$mod .', '. $exp .")"); + + $rsa = new Crypt_RSA(); + $rsa->signatureMode = CRYPT_RSA_SIGNATURE_PKCS1; + $rsa->setHash('sha256'); + $rsa->modulus = new Math_BigInteger(base64_url_decode($mod), 256); + $rsa->k = strlen($rsa->modulus->toBytes()); + $rsa->exponent = new Math_BigInteger(base64_url_decode($exp), 256); + + if ($type == 'private') { + $this->privateKey = $rsa; + } else { + $this->publicKey = $rsa; + } + } + public function getName() { return $this->alg; @@ -183,45 +187,25 @@ class Magicsig extends Memcached_DataObject switch ($this->alg) { case 'RSA-SHA256': - return 'magicsig_sha256'; + return 'sha256'; } } public function sign($bytes) { - $hash = $this->getHash(); - $sig = $this->_rsa->createSign($bytes, null, $hash); - if ($this->_rsa->isError()) { - $error = $this->_rsa->getLastError(); - common_log(LOG_DEBUG, 'RSA Error: '. $error->getMessage()); - return false; - } - - return $sig; + $sig = $this->privateKey->sign($bytes); + return base64_url_encode($sig); } public function verify($signed_bytes, $signature) { - $hash = $this->getHash(); - $result = $this->_rsa->validateSign($signed_bytes, $signature, null, $hash); - if ($this->_rsa->isError()) { - $error = $this->keypair->getLastError(); - common_log(LOG_DEBUG, 'RSA Error: '. $error->getMessage()); - return false; - } - return $result; + $signature = base64_url_decode($signature); + return $this->publicKey->verify($signed_bytes, $signature); } } -// Define a sha256 function for hashing -// (Crypt_RSA should really be updated to use hash() ) -function magicsig_sha256($bytes) -{ - return hash('sha256', $bytes); -} - function base64_url_encode($input) { return strtr(base64_encode($input), '+/', '-_'); diff --git a/plugins/OStatus/extlib/Crypt/AES.php b/plugins/OStatus/extlib/Crypt/AES.php new file mode 100644 index 000000000..68ab4db09 --- /dev/null +++ b/plugins/OStatus/extlib/Crypt/AES.php @@ -0,0 +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 1.7 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 new file mode 100644 index 000000000..985ed25b5 --- /dev/null +++ b/plugins/OStatus/extlib/Crypt/DES.php @@ -0,0 +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 1.12 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 new file mode 100644 index 000000000..e4dfde331 --- /dev/null +++ b/plugins/OStatus/extlib/Crypt/Hash.php @@ -0,0 +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; + } +}
\ No newline at end of file diff --git a/plugins/OStatus/extlib/Crypt/RC4.php b/plugins/OStatus/extlib/Crypt/RC4.php new file mode 100644 index 000000000..1e4d8b489 --- /dev/null +++ b/plugins/OStatus/extlib/Crypt/RC4.php @@ -0,0 +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; + } + } +}
\ No newline at end of file diff --git a/plugins/OStatus/extlib/Crypt/RSA.php b/plugins/OStatus/extlib/Crypt/RSA.php index 16dfa54d4..f0a75962c 100644 --- a/plugins/OStatus/extlib/Crypt/RSA.php +++ b/plugins/OStatus/extlib/Crypt/RSA.php @@ -1,524 +1,2108 @@ <?php +/* vim: set expandtab tabstop=4 shiftwidth=4 softtabstop=4: */ + /** - * Crypt_RSA allows to do following operations: - * - key pair generation - * - encryption and decryption - * - signing and sign validation + * Pure-PHP PKCS#1 (v2.1) compliant implementation of RSA. * * PHP versions 4 and 5 * - * LICENSE: This source file is subject to version 3.0 of the PHP license - * that is available through the world-wide-web at the following URI: - * http://www.php.net/license/3_0.txt. If you did not receive a copy of - * the PHP License and are unable to obtain it through the web, please - * send a note to license@php.net so we can mail you a copy immediately. + * 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. * - * @category Encryption + * 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 Alexander Valyalkin <valyala@gmail.com> - * @copyright 2005, 2006 Alexander Valyalkin - * @license http://www.php.net/license/3_0.txt PHP License 3.0 - * @version 1.2.0b - * @link http://pear.php.net/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 */ /** - * RSA error handling facilities + * Include Math_BigInteger */ -require_once 'Crypt/RSA/ErrorHandler.php'; +require_once('Math/BigInteger.php'); /** - * loader for math wrappers + * Include Crypt_Random */ -require_once 'Crypt/RSA/MathLoader.php'; +require_once('Crypt/Random.php'); /** - * helper class for mange single key + * Include Crypt_Hash */ -require_once 'Crypt/RSA/Key.php'; +require_once('Crypt/Hash.php'); -/** - * helper class for manage key pair +/**#@+ + * @access public + * @see Crypt_RSA::encrypt() + * @see Crypt_RSA::decrypt() */ -require_once 'Crypt/RSA/KeyPair.php'; - /** - * Crypt_RSA class, derived from Crypt_RSA_ErrorHandler + * Use {@link http://en.wikipedia.org/wiki/Optimal_Asymmetric_Encryption_Padding Optimal Asymmetric Encryption Padding} + * (OAEP) for encryption / decryption. * - * Provides the following functions: - * - setParams($params) - sets parameters of current object - * - encrypt($plain_data, $key = null) - encrypts data - * - decrypt($enc_data, $key = null) - decrypts data - * - createSign($doc, $private_key = null) - signs document by private key - * - validateSign($doc, $signature, $public_key = null) - validates signature of document + * Uses sha1 by default. * - * Example usage: - * // creating an error handler - * $error_handler = create_function('$obj', 'echo "error: ", $obj->getMessage(), "\n"'); + * @see Crypt_RSA::setHash() + * @see Crypt_RSA::setMGFHash() + */ +define('CRYPT_RSA_ENCRYPTION_OAEP', 1); +/** + * Use PKCS#1 padding. * - * // 1024-bit key pair generation - * $key_pair = new Crypt_RSA_KeyPair(1024); + * 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 * - * // check consistence of Crypt_RSA_KeyPair object - * $error_handler($key_pair); + * Uses sha1 by default. * - * // creating Crypt_RSA object - * $rsa_obj = new Crypt_RSA; + * @see Crypt_RSA::setSaltLength() + * @see Crypt_RSA::setMGFHash() + */ +define('CRYPT_RSA_SIGNATURE_PSS', 1); +/** + * Use the PKCS#1 scheme by default. * - * // check consistence of Crypt_RSA object - * $error_handler($rsa_obj); + * 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 * - * // set error handler on Crypt_RSA object ( see Crypt/RSA/ErrorHandler.php for details ) - * $rsa_obj->setErrorHandler($error_handler); + * (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 * - * // encryption (usually using public key) - * $enc_data = $rsa_obj->encrypt($plain_data, $key_pair->getPublicKey()); + * Used by OpenSSH + */ +define('CRYPT_RSA_PRIVATE_FORMAT_PKCS1', 0); +/**#@-*/ + +/**#@+ + * @access public + * @see Crypt_RSA::createKey() + * @see Crypt_RSA::setPublicKeyFormat() + */ +/** + * Raw public key * - * // decryption (usually using private key) - * $plain_data = $rsa_obj->decrypt($enc_data, $key_pair->getPrivateKey()); + * An array containing two Math_BigInteger objects. * - * // signing - * $signature = $rsa_obj->createSign($document, $key_pair->getPrivateKey()); + * The exponent can be indexed with any of the following: * - * // signature checking - * $is_valid = $rsa_obj->validateSign($document, $signature, $key_pair->getPublicKey()); + * 0, e, exponent, publicExponent * - * // signing many documents by one private key - * $rsa_obj = new Crypt_RSA(array('private_key' => $key_pair->getPrivateKey())); - * // check consistence of Crypt_RSA object - * $error_handler($rsa_obj); - * // set error handler ( see Crypt/RSA/ErrorHandler.php for details ) - * $rsa_obj->setErrorHandler($error_handler); - * // sign many documents - * $sign_1 = $rsa_obj->sign($doc_1); - * $sign_2 = $rsa_obj->sign($doc_2); - * //... - * $sign_n = $rsa_obj->sign($doc_n); + * The modulus can be indexed with any of the following: * - * // changing default hash function, which is used for sign - * // creating/validation - * $rsa_obj->setParams(array('hash_func' => 'md5')); + * 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 * - * // using factory() method instead of constructor (it returns PEAR_Error object on failure) - * $rsa_obj = &Crypt_RSA::factory(); - * if (PEAR::isError($rsa_obj)) { - * echo "error: ", $rsa_obj->getMessage(), "\n"; - * } + * Place in $HOME/.ssh/authorized_keys + */ +define('CRYPT_RSA_PUBLIC_FORMAT_OPENSSH', 3); +/**#@-*/ + +/** + * Pure-PHP PKCS#1 compliant implementation of RSA. * - * @category Encryption - * @package Crypt_RSA - * @author Alexander Valyalkin <valyala@gmail.com> - * @copyright 2005, 2006 Alexander Valyalkin - * @license http://www.php.net/license/3_0.txt PHP License 3.0 - * @link http://pear.php.net/package/Crypt_RSA - * @version @package_version@ - * @access public + * @author Jim Wigginton <terrafrost@php.net> + * @version 0.1.0 + * @access public + * @package Crypt_RSA */ -class Crypt_RSA extends Crypt_RSA_ErrorHandler -{ +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; + /** - * Reference to math wrapper, which is used to - * manipulate large integers in RSA algorithm. + * Length of salt * - * @var object of Crypt_RSA_Math_* class + * @var Integer * @access private */ - var $_math_obj; + var $sLen; /** - * key for encryption, which is used by encrypt() method + * Hash function for the Mask Generation Function * - * @var object of Crypt_RSA_KEY class + * @var Crypt_Hash * @access private */ - var $_enc_key; + var $mgfHash; /** - * key for decryption, which is used by decrypt() method + * Length of MGF hash function output * - * @var object of Crypt_RSA_KEY class + * @var Integer * @access private */ - var $_dec_key; + var $mgfHLen; /** - * public key, which is used by validateSign() method + * Encryption mode * - * @var object of Crypt_RSA_KEY class + * @var Integer * @access private */ - var $_public_key; + var $encryptionMode = CRYPT_RSA_ENCRYPTION_OAEP; /** - * private key, which is used by createSign() method + * Signature mode * - * @var object of Crypt_RSA_KEY class + * @var Integer * @access private */ - var $_private_key; + var $signatureMode = CRYPT_RSA_SIGNATURE_PSS; /** - * name of hash function, which is used by validateSign() - * and createSign() methods. Default hash function is SHA-1 + * Public Exponent * - * @var string + * @var Mixed * @access private */ - var $_hash_func = 'sha1'; + 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(); + } /** - * Crypt_RSA constructor. + * Create public / private key pair * - * @param array $params - * Optional associative array of parameters, such as: - * enc_key, dec_key, private_key, public_key, hash_func. - * See setParams() method for more detailed description of - * these parameters. - * @param string $wrapper_name - * Name of math wrapper, which will be used to - * perform different operations with big integers. - * See contents of Crypt/RSA/Math folder for examples of wrappers. - * Read docs/Crypt_RSA/docs/math_wrappers.txt for details. - * @param string $error_handler name of error handler function + * 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 $p */ - function Crypt_RSA($params = null, $wrapper_name = 'default', $error_handler = '') + function createKey($bits = 1024, $timeout = false, $partial = array()) { - // set error handler - $this->setErrorHandler($error_handler); - // try to load math wrapper - $obj = &Crypt_RSA_MathLoader::loadWrapper($wrapper_name); - if ($this->isError($obj)) { - // error during loading of math wrapper - // Crypt_RSA object is partially constructed. - $this->pushError($obj); - return; + 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 + ); } - $this->_math_obj = &$obj; - if (!is_null($params)) { - if (!$this->setParams($params)) { - // error in Crypt_RSA::setParams() function - return; + $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 + ); + } } } /** - * Crypt_RSA factory. + * 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. * - * @param array $params - * Optional associative array of parameters, such as: - * enc_key, dec_key, private_key, public_key, hash_func. - * See setParams() method for more detailed description of - * these parameters. - * @param string $wrapper_name - * Name of math wrapper, which will be used to - * perform different operations with big integers. - * See contents of Crypt/RSA/Math folder for examples of wrappers. - * Read docs/Crypt_RSA/docs/math_wrappers.txt for details. - * @param string $error_handler name of error handler function + * Returns true on success, false on failure * - * @return object new Crypt_RSA object on success or PEAR_Error object on failure + * @see getPublicKey() * @access public + * @param String $key + * @param Integer $type optional + * @return Boolean */ - function &factory($params = null, $wrapper_name = 'default', $error_handler = '') + function setPublicKey($key, $type = CRYPT_RSA_PUBLIC_FORMAT_PKCS1) { - $obj = &new Crypt_RSA($params, $wrapper_name, $error_handler); - if ($obj->isError()) { - // error during creating a new object. Retrurn PEAR_Error object - return $obj->getLastError(); + $components = $this->_parseKey($key, $type); + if (empty($this->modulus) || !$this->modulus->equals($components['modulus'])) { + return false; } - // object created successfully. Return it - return $obj; + $this->publicExponent = $components['publicExponent']; } /** - * Accepts any combination of available parameters as associative array: - * enc_key - encryption key for encrypt() method - * dec_key - decryption key for decrypt() method - * public_key - key for validateSign() method - * private_key - key for createSign() method - * hash_func - name of hash function, which will be used to create and validate sign + * Returns the public key * - * @param array $params - * associative array of permitted parameters (see above) + * 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. * - * @return bool true on success or false on error + * @see getPublicKey() * @access public + * @param String $key + * @param Integer $type optional */ - function setParams($params) + function getPublicKey($type = CRYPT_RSA_PUBLIC_FORMAT_PKCS1) { - if (!is_array($params)) { - $this->pushError('parameters must be passed to function as associative array', CRYPT_RSA_ERROR_WRONG_PARAMS); + if (empty($this->modulus) || empty($this->publicExponent)) { return false; } - if (isset($params['enc_key'])) { - if (Crypt_RSA_Key::isValid($params['enc_key'])) { - $this->_enc_key = $params['enc_key']; - } - else { - $this->pushError('wrong encryption key. It must be an object of Crypt_RSA_Key class', CRYPT_RSA_ERROR_WRONG_KEY); - 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 { + $min[0] = chr(0x80); } - if (isset($params['dec_key'])) { - if (Crypt_RSA_Key::isValid($params['dec_key'])) { - $this->_dec_key = $params['dec_key']; - } - else { - $this->pushError('wrong decryption key. It must be an object of Crypt_RSA_Key class', CRYPT_RSA_ERROR_WRONG_KEY); - return false; - } + + return array( + 'min' => new Math_BigInteger($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)); } - if (isset($params['private_key'])) { - if (Crypt_RSA_Key::isValid($params['private_key'])) { - if ($params['private_key']->getKeyType() != 'private') { - $this->pushError('private key must have "private" attribute', CRYPT_RSA_ERROR_WRONG_KEY_TYPE); - return false; - } - $this->_private_key = $params['private_key']; + 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 { - $this->pushError('wrong private key. It must be an object of Crypt_RSA_Key class', CRYPT_RSA_ERROR_WRONG_KEY); - return false; + } else { + $ints = ($bytes + 1) >> 2; + for ($i = 0; $i < $ints; $i++) { + $temp.= pack('N', crypt_random()); } + $temp = substr($temp, 0, $bytes); } - if (isset($params['public_key'])) { - if (Crypt_RSA_Key::isValid($params['public_key'])) { - if ($params['public_key']->getKeyType() != 'public') { - $this->pushError('public key must have "public" attribute', CRYPT_RSA_ERROR_WRONG_KEY_TYPE); - return false; + 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]; } - $this->_public_key = $params['public_key']; } - else { - $this->pushError('wrong public key. It must be an object of Crypt_RSA_Key class', CRYPT_RSA_ERROR_WRONG_KEY); - return false; + + $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($h)); } } - if (isset($params['hash_func'])) { - if (!function_exists($params['hash_func'])) { - $this->pushError('cannot find hash function with name [' . $params['hash_func'] . ']', CRYPT_RSA_ERROR_WRONG_HASH_FUNC); - return false; - } - $this->_hash_func = $params['hash_func']; + + 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 true; // all ok + return $this->_exponentiate($m); } /** - * Ecnrypts $plain_data by the key $this->_enc_key or $key. + * RSADP * - * @param string $plain_data data, which must be encrypted - * @param object $key encryption key (object of Crypt_RSA_Key class) - * @return mixed - * encrypted data as string on success or false on error + * See {@link http://tools.ietf.org/html/rfc3447#section-5.1.2 RFC3447#section-5.1.2}. * - * @access public + * @access private + * @param Math_BigInteger $c + * @return Math_BigInteger */ - function encrypt($plain_data, $key = null) + function _rsadp($c) { - $enc_data = $this->encryptBinary($plain_data, $key); - if ($enc_data !== false) { - return base64_encode($enc_data); + if ($c->compare($this->zero) < 0 || $c->compare($this->modulus) > 0) { + user_error('Ciphertext representative out of range', E_USER_NOTICE); + return false; } - // error during encripting data - return false; + return $this->_exponentiate($c); } /** - * Ecnrypts $plain_data by the key $this->_enc_key or $key. + * RSASP1 * - * @param string $plain_data data, which must be encrypted - * @param object $key encryption key (object of Crypt_RSA_Key class) - * @return mixed - * encrypted data as binary string on success or false on error + * See {@link http://tools.ietf.org/html/rfc3447#section-5.2.1 RFC3447#section-5.2.1}. * - * @access public + * @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 $mgfLen + * @return String */ - function encryptBinary($plain_data, $key = null) + function _mgf1($mgfSeed, $maskLen) { - if (is_null($key)) { - // use current encryption key - $key = $this->_enc_key; + // 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 . $c); } - else if (!Crypt_RSA_Key::isValid($key)) { - $this->pushError('invalid encryption key. It must be an object of Crypt_RSA_Key class', CRYPT_RSA_ERROR_WRONG_KEY); + + return substr($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; } - // append tail \x01 to plain data. It needs for correctly decrypting of data - $plain_data .= "\x01"; + // EME-OAEP encoding - $plain_data = $this->_math_obj->bin2int($plain_data); - $exp = $this->_math_obj->bin2int($key->getExponent()); - $modulus = $this->_math_obj->bin2int($key->getModulus()); + $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; - // divide plain data into chunks - $data_len = $this->_math_obj->bitLen($plain_data); - $chunk_len = $key->getKeyLength() - 1; - $block_len = (int) ceil($chunk_len / 8); - $curr_pos = 0; - $enc_data = ''; - while ($curr_pos < $data_len) { - $tmp = $this->_math_obj->subint($plain_data, $curr_pos, $chunk_len); - $enc_data .= str_pad( - $this->_math_obj->int2bin($this->_math_obj->powmod($tmp, $exp, $modulus)), - $block_len, - "\0" - ); - $curr_pos += $chunk_len; + // 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; } - return $enc_data; + + // Output the message M + + return substr($m, 1); } /** - * Decrypts $enc_data by the key $this->_dec_key or $key. + * RSAES-PKCS1-V1_5-ENCRYPT * - * @param string $enc_data encrypted data as string - * @param object $key decryption key (object of RSA_Crypt_Key class) - * @return mixed - * decrypted data as string on success or false on error + * See {@link http://tools.ietf.org/html/rfc3447#section-7.2.1 RFC3447#section-7.2.1}. * - * @access public + * @access private + * @param String $m + * @return String */ - function decrypt($enc_data, $key = null) + function _rsaes_pkcs1_v1_5_encrypt($m) { - $enc_data = base64_decode($enc_data); - return $this->decryptBinary($enc_data, $key); + $mLen = strlen($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; } /** - * Decrypts $enc_data by the key $this->_dec_key or $key. + * RSAES-PKCS1-V1_5-DECRYPT * - * @param string $enc_data encrypted data as binary string - * @param object $key decryption key (object of RSA_Crypt_Key class) - * @return mixed - * decrypted data as string on success or false on error + * See {@link http://tools.ietf.org/html/rfc3447#section-7.2.2 RFC3447#section-7.2.2}. * - * @access public + * @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 $emBits */ - function decryptBinary($enc_data, $key = null) + function _emsa_pss_encode($m, $emBits) { - if (is_null($key)) { - // use current decryption key - $key = $this->_dec_key; + // 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($em) - 1] != chr(0xBC)) { + return false; } - else if (!Crypt_RSA_Key::isValid($key)) { - $this->pushError('invalid decryption key. It must be an object of Crypt_RSA_Key class', CRYPT_RSA_ERROR_WRONG_KEY); + + $maskedDB = substr($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 - $exp = $this->_math_obj->bin2int($key->getExponent()); - $modulus = $this->_math_obj->bin2int($key->getModulus()); + $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 - $data_len = strlen($enc_data); - $chunk_len = $key->getKeyLength() - 1; - $block_len = (int) ceil($chunk_len / 8); - $curr_pos = 0; - $bit_pos = 0; - $plain_data = $this->_math_obj->bin2int("\0"); - while ($curr_pos < $data_len) { - $tmp = $this->_math_obj->bin2int(substr($enc_data, $curr_pos, $block_len)); - $tmp = $this->_math_obj->powmod($tmp, $exp, $modulus); - $plain_data = $this->_math_obj->bitOr($plain_data, $tmp, $bit_pos); - $bit_pos += $chunk_len; - $curr_pos += $block_len; + if (strlen($s) != $this->k) { + user_error('Invalid signature', E_USER_NOTICE); + return false; } - $result = $this->_math_obj->int2bin($plain_data); - // delete tail, containing of \x01 - $tail = ord($result{strlen($result) - 1}); - if ($tail != 1) { - $this->pushError("Error tail of decrypted text = {$tail}. Expected 1", CRYPT_RSA_ERROR_WRONG_TAIL); + // RSA verification + + $modBits = 8 * $this->k; + + $s2 = $this->_os2ip($s); + $m2 = $this->_rsavp1($s2); + if ($m2 === false) { + user_error('Invalid signature', E_USER_NOTICE); return false; } - return substr($result, 0, -1); + $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); } /** - * Creates sign for document $document, using $this->_private_key or $private_key - * as private key and $this->_hash_func or $hash_func as hash function. + * EMSA-PKCS1-V1_5-ENCODE * - * @param string $document document, which must be signed - * @param object $private_key private key (object of Crypt_RSA_Key type) - * @param string $hash_func name of hash function, which will be used during signing - * @return mixed - * signature of $document as string on success or false on error + * See {@link http://tools.ietf.org/html/rfc3447#section-9.2 RFC3447#section-9.2}. * - * @access public + * @access private + * @param String $m + * @param Integer $emLen + * @return String */ - function createSign($document, $private_key = null, $hash_func = null) + function _emsa_pkcs1_v1_5_encode($m, $emLen) { - // check private key - if (is_null($private_key)) { - $private_key = $this->_private_key; + $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 < $tLen + 11) { + user_error('Intended encoded message length too short', E_USER_NOTICE); + return false; } - else if (!Crypt_RSA_Key::isValid($private_key)) { - $this->pushError('invalid private key. It must be an object of Crypt_RSA_Key class', CRYPT_RSA_ERROR_WRONG_KEY); + + $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; } - if ($private_key->getKeyType() != 'private') { - $this->pushError('signing key must be private', CRYPT_RSA_ERROR_NEED_PRV_KEY); + + // 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) != $this->k) { + user_error('Invalid signature', E_USER_NOTICE); return false; } - // check hash_func - if (is_null($hash_func)) { - $hash_func = $this->_hash_func; + // 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; } - if (!function_exists($hash_func)) { - $this->pushError("cannot find hash function with name [$hash_func]", CRYPT_RSA_ERROR_WRONG_HASH_FUNC); + + // 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; } - return $this->encrypt($hash_func($document), $private_key); + // 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; } /** - * Validates $signature for document $document with public key $this->_public_key - * or $public_key and hash function $this->_hash_func or $hash_func. + * Encryption * - * @param string $document document, signature of which must be validated - * @param string $signature signature, which must be validated - * @param object $public_key public key (object of Crypt_RSA_Key class) - * @param string $hash_func hash function, which will be used during validating signature - * @return mixed - * true, if signature of document is valid - * false, if signature of document is invalid - * null on error + * 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 $plaintext + * @return String */ - function validateSign($document, $signature, $public_key = null, $hash_func = null) + function encrypt($plaintext) { - // check public key - if (is_null($public_key)) { - $public_key = $this->_public_key; + switch ($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 $ciphertext; } - else if (!Crypt_RSA_Key::isValid($public_key)) { - $this->pushError('invalid public key. It must be an object of Crypt_RSA_Key class', CRYPT_RSA_ERROR_WRONG_KEY); - return null; + } + + /** + * Decryption + * + * @see encrypt() + * @access public + * @param String $plaintext + * @return String + */ + function decrypt($ciphertext) + { + if ($this->k <= 0) { + return false; } - if ($public_key->getKeyType() != 'public') { - $this->pushError('validating key must be public', CRYPT_RSA_ERROR_NEED_PUB_KEY); - return null; + + $ciphertext = str_split($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: + $decrypt = '_rsaes_oaep_decrypt'; } - // check hash_func - if (is_null($hash_func)) { - $hash_func = $this->_hash_func; + foreach ($ciphertext as $c) { + $temp = $this->$decrypt($c); + if ($temp === false) { + return false; + } + $plaintext.= $temp; } - if (!function_exists($hash_func)) { - $this->pushError("cannot find hash function with name [$hash_func]", CRYPT_RSA_ERROR_WRONG_HASH_FUNC); - return null; + + 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; } - return $hash_func($document) == $this->decrypt($signature, $public_key); + switch ($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); + } } -} -?>
\ No newline at end of file + /** + * 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/RSA/ErrorHandler.php b/plugins/OStatus/extlib/Crypt/RSA/ErrorHandler.php deleted file mode 100644 index 8f39741e0..000000000 --- a/plugins/OStatus/extlib/Crypt/RSA/ErrorHandler.php +++ /dev/null @@ -1,234 +0,0 @@ -<?php -/** - * Crypt_RSA allows to do following operations: - * - key pair generation - * - encryption and decryption - * - signing and sign validation - * - * PHP versions 4 and 5 - * - * LICENSE: This source file is subject to version 3.0 of the PHP license - * that is available through the world-wide-web at the following URI: - * http://www.php.net/license/3_0.txt. If you did not receive a copy of - * the PHP License and are unable to obtain it through the web, please - * send a note to license@php.net so we can mail you a copy immediately. - * - * @category Encryption - * @package Crypt_RSA - * @author Alexander Valyalkin <valyala@gmail.com> - * @copyright 2005 Alexander Valyalkin - * @license http://www.php.net/license/3_0.txt PHP License 3.0 - * @version CVS: $Id: ErrorHandler.php,v 1.4 2009/01/05 08:30:29 clockwerx Exp $ - * @link http://pear.php.net/package/Crypt_RSA - */ - -/** - * uses PEAR's error handling - */ -require_once 'PEAR.php'; - -/** - * cannot load required extension for math wrapper - */ -define('CRYPT_RSA_ERROR_NO_EXT', 1); - -/** - * cannot load any math wrappers. - * Possible reasons: - * - there is no any wrappers (they must exist in Crypt/RSA/Math folder ) - * - all available wrappers are incorrect (read docs/Crypt_RSA/docs/math_wrappers.txt ) - * - cannot load any extension, required by available wrappers - */ -define('CRYPT_RSA_ERROR_NO_WRAPPERS', 2); - -/** - * cannot find file, containing requested math wrapper - */ -define('CRYPT_RSA_ERROR_NO_FILE', 3); - -/** - * cannot find math wrapper class in the math wrapper file - */ -define('CRYPT_RSA_ERROR_NO_CLASS', 4); - -/** - * invalid key type passed to function (it must be 'public' or 'private') - */ -define('CRYPT_RSA_ERROR_WRONG_KEY_TYPE', 5); - -/** - * key modulus must be greater than key exponent - */ -define('CRYPT_RSA_ERROR_EXP_GE_MOD', 6); - -/** - * missing $key_len parameter in Crypt_RSA_KeyPair::generate($key_len) function - */ -define('CRYPT_RSA_ERROR_MISSING_KEY_LEN', 7); - -/** - * wrong key object passed to function (it must be an object of Crypt_RSA_Key class) - */ -define('CRYPT_RSA_ERROR_WRONG_KEY', 8); - -/** - * wrong name of hash function passed to Crypt_RSA::setParams() function - */ -define('CRYPT_RSA_ERROR_WRONG_HASH_FUNC', 9); - -/** - * key, used for signing, must be private - */ -define('CRYPT_RSA_ERROR_NEED_PRV_KEY', 10); - -/** - * key, used for sign validating, must be public - */ -define('CRYPT_RSA_ERROR_NEED_PUB_KEY', 11); - -/** - * parameters must be passed to function as associative array - */ -define('CRYPT_RSA_ERROR_WRONG_PARAMS', 12); - -/** - * error tail of decrypted text. Maybe, wrong decryption key? - */ -define('CRYPT_RSA_ERROR_WRONG_TAIL', 13); - -/** - * Crypt_RSA_ErrorHandler class. - * - * This class is used as base for Crypt_RSA, Crypt_RSA_Key - * and Crypt_RSA_KeyPair classes. - * - * It provides following functions: - * - isError() - returns true, if list contains errors, else returns false - * - getErrorList() - returns error list - * - getLastError() - returns last error from error list or false, if list is empty - * - pushError($errstr) - pushes $errstr into the error list - * - setErrorHandler($new_error_handler) - sets error handler function - * - getErrorHandler() - returns name of error handler function - * - * @category Encryption - * @package Crypt_RSA - * @author Alexander Valyalkin <valyala@gmail.com> - * @copyright 2005 Alexander Valyalkin - * @license http://www.php.net/license/3_0.txt PHP License 3.0 - * @version Release: @package_version@ - * @link http://pear.php.net/package/Crypt_RSA - * @access public - */ -class Crypt_RSA_ErrorHandler -{ - /** - * array of error objects, pushed by $this->pushError() - * - * @var array - * @access private - */ - var $_errors = array(); - - /** - * name of error handler - function, which calls on $this->pushError() call - * - * @var string - * @access private - */ - var $_error_handler = ''; - - /** - * Returns true if list of errors is not empty, else returns false - * - * @param mixed $err Check if the object is an error - * - * @return bool true, if list of errors is not empty or $err is PEAR_Error object, else false - * @access public - */ - function isError($err = null) - { - return is_null($err) ? (sizeof($this->_errors) > 0) : PEAR::isError($err); - } - - /** - * Returns list of all errors, pushed to error list by $this->pushError() - * - * @return array list of errors (usually it contains objects of PEAR_Error class) - * @access public - */ - function getErrorList() - { - return $this->_errors; - } - - /** - * Returns last error from errors list or false, if list is empty - * - * @return mixed - * last error from errors list (usually it is PEAR_Error object) - * or false, if list is empty. - * - * @access public - */ - function getLastError() - { - $len = sizeof($this->_errors); - return $len ? $this->_errors[$len - 1] : false; - } - - /** - * pushes error object $error to the error list - * - * @param string $errstr error string - * @param int $errno error number - * - * @return bool true on success, false on error - * @access public - */ - function pushError($errstr, $errno = 0) - { - $this->_errors[] = PEAR::raiseError($errstr, $errno); - - if ($this->_error_handler != '') { - // call user defined error handler - $func = $this->_error_handler; - $func($this); - } - return true; - } - - /** - * sets error handler to function with name $func_name. - * Function $func_name must accept one parameter - current - * object, which triggered error. - * - * @param string $func_name name of error handler function - * - * @return bool true on success, false on error - * @access public - */ - function setErrorHandler($func_name = '') - { - if ($func_name == '') { - $this->_error_handler = ''; - } - if (!function_exists($func_name)) { - return false; - } - $this->_error_handler = $func_name; - return true; - } - - /** - * returns name of current error handler, or null if there is no error handler - * - * @return mixed error handler name as string or null, if there is no error handler - * @access public - */ - function getErrorHandler() - { - return $this->_error_handler; - } -} - -?> diff --git a/plugins/OStatus/extlib/Crypt/RSA/Key.php b/plugins/OStatus/extlib/Crypt/RSA/Key.php deleted file mode 100644 index 659530229..000000000 --- a/plugins/OStatus/extlib/Crypt/RSA/Key.php +++ /dev/null @@ -1,315 +0,0 @@ -<?php -/** - * Crypt_RSA allows to do following operations: - * - key pair generation - * - encryption and decryption - * - signing and sign validation - * - * PHP versions 4 and 5 - * - * LICENSE: This source file is subject to version 3.0 of the PHP license - * that is available through the world-wide-web at the following URI: - * http://www.php.net/license/3_0.txt. If you did not receive a copy of - * the PHP License and are unable to obtain it through the web, please - * send a note to license@php.net so we can mail you a copy immediately. - * - * @category Encryption - * @package Crypt_RSA - * @author Alexander Valyalkin <valyala@gmail.com> - * @copyright 2005 Alexander Valyalkin - * @license http://www.php.net/license/3_0.txt PHP License 3.0 - * @version CVS: $Id: Key.php,v 1.6 2009/01/05 08:30:29 clockwerx Exp $ - * @link http://pear.php.net/package/Crypt_RSA - */ - -/** - * RSA error handling facilities - */ -require_once 'Crypt/RSA/ErrorHandler.php'; - -/** - * loader for RSA math wrappers - */ -require_once 'Crypt/RSA/MathLoader.php'; - -/** - * Crypt_RSA_Key class, derived from Crypt_RSA_ErrorHandler - * - * Provides the following functions: - * - getKeyLength() - returns bit key length - * - getExponent() - returns key exponent as binary string - * - getModulus() - returns key modulus as binary string - * - getKeyType() - returns type of the key (public or private) - * - toString() - returns serialized key as string - * - fromString($key_str) - static function; returns key, unserialized from string - * - isValid($key) - static function for validating of $key - * - * Example usage: - * // create new 1024-bit key pair - * $key_pair = new Crypt_RSA_KeyPair(1024); - * - * // get public key (its class is Crypt_RSA_Key) - * $key = $key_pair->getPublicKey(); - * - * // get key length - * $len = $key->getKeyLength(); - * - * // get modulus as string - * $modulus = $key->getModulus(); - * - * // get exponent as string - * $exponent = $key->getExponent(); - * - * // get string represenation of key (use it instead of serialization of Crypt_RSA_Key object) - * $key_in_str = $key->toString(); - * - * // restore key object from string using 'BigInt' math wrapper - * $key = Crypt_RSA_Key::fromString($key_in_str, 'BigInt'); - * - * // error check - * if ($key->isError()) { - * echo "error while unserializing key object:\n"; - * $erorr = $key->getLastError(); - * echo $error->getMessage(), "\n"; - * } - * - * // validate key - * if (Crypt_RSA_Key::isValid($key)) echo 'valid key'; - * else echo 'invalid key'; - * - * // using factory() method instead of constructor (it returns PEAR_Error object on failure) - * $rsa_obj = &Crypt_RSA_Key::factory($modulus, $exp, $key_type); - * if (PEAR::isError($rsa_obj)) { - * echo "error: ", $rsa_obj->getMessage(), "\n"; - * } - * - * @category Encryption - * @package Crypt_RSA - * @author Alexander Valyalkin <valyala@gmail.com> - * @copyright 2005 Alexander Valyalkin - * @license http://www.php.net/license/3_0.txt PHP License 3.0 - * @version Release: @package_version@ - * @link http://pear.php.net/package/Crypt_RSA - * @access public - */ -class Crypt_RSA_Key extends Crypt_RSA_ErrorHandler -{ - /** - * Reference to math wrapper object, which is used to - * manipulate large integers in RSA algorithm. - * - * @var object of Crypt_RSA_Math_* class - * @access private - */ - var $_math_obj; - - /** - * shared modulus - * - * @var string - * @access private - */ - var $_modulus; - - /** - * exponent - * - * @var string - * @access private - */ - var $_exp; - - /** - * key type (private or public) - * - * @var string - * @access private - */ - var $_key_type; - - /** - * key length in bits - * - * @var int - * @access private - */ - var $_key_len; - - /** - * Crypt_RSA_Key constructor. - * - * You should pass in the name of math wrapper, which will be used to - * perform different operations with big integers. - * See contents of Crypt/RSA/Math folder for examples of wrappers. - * Read docs/Crypt_RSA/docs/math_wrappers.txt for details. - * - * @param string $modulus key modulus - * @param string $exp key exponent - * @param string $key_type type of the key (public or private) - * @param string $wrapper_name wrapper to use - * @param string $error_handler name of error handler function - * - * @access public - */ - function Crypt_RSA_Key($modulus, $exp, $key_type, $wrapper_name = 'default', $error_handler = '') - { - // set error handler - $this->setErrorHandler($error_handler); - // try to load math wrapper $wrapper_name - $obj = &Crypt_RSA_MathLoader::loadWrapper($wrapper_name); - if ($this->isError($obj)) { - // error during loading of math wrapper - $this->pushError($obj); // push error object into error list - return; - } - $this->_math_obj = &$obj; - - $this->_modulus = $modulus; - $this->_exp = $exp; - - if (!in_array($key_type, array('private', 'public'))) { - $this->pushError('invalid key type. It must be private or public', CRYPT_RSA_ERROR_WRONG_KEY_TYPE); - return; - } - $this->_key_type = $key_type; - - /* check length of modulus & exponent ( abs(modulus) > abs(exp) ) */ - $mod_num = $this->_math_obj->bin2int($this->_modulus); - $exp_num = $this->_math_obj->bin2int($this->_exp); - - if ($this->_math_obj->cmpAbs($mod_num, $exp_num) <= 0) { - $this->pushError('modulus must be greater than exponent', CRYPT_RSA_ERROR_EXP_GE_MOD); - return; - } - - // determine key length - $this->_key_len = $this->_math_obj->bitLen($mod_num); - } - - /** - * Crypt_RSA_Key factory. - * - * @param string $modulus key modulus - * @param string $exp key exponent - * @param string $key_type type of the key (public or private) - * @param string $wrapper_name wrapper to use - * @param string $error_handler name of error handler function - * - * @return object new Crypt_RSA_Key object on success or PEAR_Error object on failure - * @access public - */ - function factory($modulus, $exp, $key_type, $wrapper_name = 'default', $error_handler = '') - { - $obj = new Crypt_RSA_Key($modulus, $exp, $key_type, $wrapper_name, $error_handler); - if ($obj->isError()) { - // error during creating a new object. Retrurn PEAR_Error object - return $obj->getLastError(); - } - // object created successfully. Return it - return $obj; - } - - /** - * Calculates bit length of the key - * - * @return int bit length of key - * @access public - */ - function getKeyLength() - { - return $this->_key_len; - } - - /** - * Returns modulus part of the key as binary string, - * which can be used to construct new Crypt_RSA_Key object. - * - * @return string modulus as binary string - * @access public - */ - function getModulus() - { - return $this->_modulus; - } - - /** - * Returns exponent part of the key as binary string, - * which can be used to construct new Crypt_RSA_Key object. - * - * @return string exponent as binary string - * @access public - */ - function getExponent() - { - return $this->_exp; - } - - /** - * Returns key type (public, private) - * - * @return string key type (public, private) - * @access public - */ - function getKeyType() - { - return $this->_key_type; - } - - /** - * Returns string representation of key - * - * @return string key, serialized to string - * @access public - */ - function toString() - { - return base64_encode( - serialize( - array($this->_modulus, $this->_exp, $this->_key_type) - ) - ); - } - - /** - * Returns Crypt_RSA_Key object, unserialized from - * string representation of key. - * - * optional parameter $wrapper_name - is the name of math wrapper, - * which will be used during unserialization of this object. - * - * This function can be called statically: - * $key = Crypt_RSA_Key::fromString($key_in_string, 'BigInt'); - * - * @param string $key_str RSA key, serialized into string - * @param string $wrapper_name optional math wrapper name - * - * @return object key as Crypt_RSA_Key object - * @access public - * @static - */ - function fromString($key_str, $wrapper_name = 'default') - { - list($modulus, $exponent, $key_type) = unserialize(base64_decode($key_str)); - $obj = new Crypt_RSA_Key($modulus, $exponent, $key_type, $wrapper_name); - return $obj; - } - - /** - * Validates key - * This function can be called statically: - * $is_valid = Crypt_RSA_Key::isValid($key) - * - * Returns true, if $key is valid Crypt_RSA key, else returns false - * - * @param object $key Crypt_RSA_Key object for validating - * - * @return bool true if $key is valid, else false - * @access public - */ - function isValid($key) - { - return (is_object($key) && strtolower(get_class($key)) === strtolower(__CLASS__)); - } -} - -?> diff --git a/plugins/OStatus/extlib/Crypt/RSA/KeyPair.php b/plugins/OStatus/extlib/Crypt/RSA/KeyPair.php deleted file mode 100644 index ecc0b7dc7..000000000 --- a/plugins/OStatus/extlib/Crypt/RSA/KeyPair.php +++ /dev/null @@ -1,804 +0,0 @@ -<?php -/** - * Crypt_RSA allows to do following operations: - * - key pair generation - * - encryption and decryption - * - signing and sign validation - * - * PHP versions 4 and 5 - * - * LICENSE: This source file is subject to version 3.0 of the PHP license - * that is available through the world-wide-web at the following URI: - * http://www.php.net/license/3_0.txt. If you did not receive a copy of - * the PHP License and are unable to obtain it through the web, please - * send a note to license@php.net so we can mail you a copy immediately. - * - * @category Encryption - * @package Crypt_RSA - * @author Alexander Valyalkin <valyala@gmail.com> - * @copyright 2005 Alexander Valyalkin - * @license http://www.php.net/license/3_0.txt PHP License 3.0 - * @version CVS: $Id: KeyPair.php,v 1.7 2009/01/05 08:30:29 clockwerx Exp $ - * @link http://pear.php.net/package/Crypt_RSA - */ - -/** - * RSA error handling facilities - */ -require_once 'Crypt/RSA/ErrorHandler.php'; - -/** - * loader for RSA math wrappers - */ -require_once 'Crypt/RSA/MathLoader.php'; - -/** - * helper class for single key managing - */ -require_once 'Crypt/RSA/Key.php'; - -/** - * Crypt_RSA_KeyPair class, derived from Crypt_RSA_ErrorHandler - * - * Provides the following functions: - * - generate($key) - generates new key pair - * - getPublicKey() - returns public key - * - getPrivateKey() - returns private key - * - getKeyLength() - returns bit key length - * - setRandomGenerator($func_name) - sets random generator to $func_name - * - fromPEMString($str) - retrieves keypair from PEM-encoded string - * - toPEMString() - stores keypair to PEM-encoded string - * - isEqual($keypair2) - compares current keypair to $keypair2 - * - * Example usage: - * // create new 1024-bit key pair - * $key_pair = new Crypt_RSA_KeyPair(1024); - * - * // error check - * if ($key_pair->isError()) { - * echo "error while initializing Crypt_RSA_KeyPair object:\n"; - * $erorr = $key_pair->getLastError(); - * echo $error->getMessage(), "\n"; - * } - * - * // get public key - * $public_key = $key_pair->getPublicKey(); - * - * // get private key - * $private_key = $key_pair->getPrivateKey(); - * - * // generate new 512-bit key pair - * $key_pair->generate(512); - * - * // error check - * if ($key_pair->isError()) { - * echo "error while generating key pair:\n"; - * $erorr = $key_pair->getLastError(); - * echo $error->getMessage(), "\n"; - * } - * - * // get key pair length - * $length = $key_pair->getKeyLength(); - * - * // set random generator to $func_name, where $func_name - * // consists name of random generator function. See comments - * // before setRandomGenerator() method for details - * $key_pair->setRandomGenerator($func_name); - * - * // error check - * if ($key_pair->isError()) { - * echo "error while changing random generator:\n"; - * $erorr = $key_pair->getLastError(); - * echo $error->getMessage(), "\n"; - * } - * - * // using factory() method instead of constructor (it returns PEAR_Error object on failure) - * $rsa_obj = &Crypt_RSA_KeyPair::factory($key_len); - * if (PEAR::isError($rsa_obj)) { - * echo "error: ", $rsa_obj->getMessage(), "\n"; - * } - * - * // read key pair from PEM-encoded string: - * $str = "-----BEGIN RSA PRIVATE KEY-----" - * . "MCsCAQACBHr5LDkCAwEAAQIEBc6jbQIDAOCfAgMAjCcCAk3pAgJMawIDAL41" - * . "-----END RSA PRIVATE KEY-----"; - * $keypair = Crypt_RSA_KeyPair::fromPEMString($str); - * - * // read key pair from .pem file 'private.pem': - * $str = file_get_contents('private.pem'); - * $keypair = Crypt_RSA_KeyPair::fromPEMString($str); - * - * // generate and write 1024-bit key pair to .pem file 'private_new.pem' - * $keypair = new Crypt_RSA_KeyPair(1024); - * $str = $keypair->toPEMString(); - * file_put_contents('private_new.pem', $str); - * - * // compare $keypair1 to $keypair2 - * if ($keypair1->isEqual($keypair2)) { - * echo "keypair1 = keypair2\n"; - * } - * else { - * echo "keypair1 != keypair2\n"; - * } - * - * @category Encryption - * @package Crypt_RSA - * @author Alexander Valyalkin <valyala@gmail.com> - * @copyright 2005 Alexander Valyalkin - * @license http://www.php.net/license/3_0.txt PHP License 3.0 - * @version Release: @package_version@ - * @link http://pear.php.net/package/Crypt_RSA - * @access public - */ -class Crypt_RSA_KeyPair extends Crypt_RSA_ErrorHandler -{ - /** - * Reference to math wrapper object, which is used to - * manipulate large integers in RSA algorithm. - * - * @var object of Crypt_RSA_Math_* class - * @access private - */ - var $_math_obj; - - /** - * length of each key in the key pair - * - * @var int - * @access private - */ - var $_key_len; - - /** - * public key - * - * @var object of Crypt_RSA_KEY class - * @access private - */ - var $_public_key; - - /** - * private key - * - * @var object of Crypt_RSA_KEY class - * @access private - */ - var $_private_key; - - /** - * name of function, which is used as random generator - * - * @var string - * @access private - */ - var $_random_generator; - - /** - * RSA keypair attributes [version, n, e, d, p, q, dmp1, dmq1, iqmp] as associative array - * - * @var array - * @access private - */ - var $_attrs; - - /** - * Returns names of keypair attributes from $this->_attrs array - * - * @return array Array of keypair attributes names - * @access private - */ - function _get_attr_names() - { - return array('version', 'n', 'e', 'd', 'p', 'q', 'dmp1', 'dmq1', 'iqmp'); - } - - /** - * Parses ASN.1 string [$str] starting form position [$pos]. - * Returns tag and string value of parsed object. - * - * @param string $str - * @param int &$pos - * @param Crypt_RSA_ErrorHandler &$err_handler - * - * @return mixed Array('tag' => ..., 'str' => ...) on success, false on error - * @access private - */ - function _ASN1Parse($str, &$pos, &$err_handler) - { - $max_pos = strlen($str); - if ($max_pos < 2) { - $err_handler->pushError("ASN.1 string too short"); - return false; - } - - // get ASN.1 tag value - $tag = ord($str[$pos++]) & 0x1f; - if ($tag == 0x1f) { - $tag = 0; - do { - $n = ord($str[$pos++]); - $tag <<= 7; - $tag |= $n & 0x7f; - } while (($n & 0x80) && $pos < $max_pos); - } - if ($pos >= $max_pos) { - $err_handler->pushError("ASN.1 string too short"); - return false; - } - - // get ASN.1 object length - $len = ord($str[$pos++]); - if ($len & 0x80) { - $n = $len & 0x1f; - $len = 0; - while ($n-- && $pos < $max_pos) { - $len <<= 8; - $len |= ord($str[$pos++]); - } - } - if ($pos >= $max_pos || $len > $max_pos - $pos) { - $err_handler->pushError("ASN.1 string too short"); - return false; - } - - // get string value of ASN.1 object - $str = substr($str, $pos, $len); - - return array( - 'tag' => $tag, - 'str' => $str, - ); - } - - /** - * Parses ASN.1 sting [$str] starting from position [$pos]. - * Returns string representation of number, which can be passed - * in bin2int() function of math wrapper. - * - * @param string $str - * @param int &$pos - * @param Crypt_RSA_ErrorHandler &$err_handler - * - * @return mixed string representation of parsed number on success, false on error - * @access private - */ - function _ASN1ParseInt($str, &$pos, &$err_handler) - { - $tmp = Crypt_RSA_KeyPair::_ASN1Parse($str, $pos, $err_handler); - if ($err_handler->isError()) { - return false; - } - if ($tmp['tag'] != 0x02) { - $errstr = sprintf("wrong ASN tag value: 0x%02x. Expected 0x02 (INTEGER)", $tmp['tag']); - $err_handler->pushError($errstr); - return false; - } - $pos += strlen($tmp['str']); - - return strrev($tmp['str']); - } - - /** - * Constructs ASN.1 string from tag $tag and object $str - * - * @param string $str ASN.1 object string - * @param int $tag ASN.1 tag value - * @param bool $is_constructed - * @param bool $is_private - * - * @return ASN.1-encoded string - * @access private - */ - function _ASN1Store($str, $tag, $is_constructed = false, $is_private = false) - { - $out = ''; - - // encode ASN.1 tag value - $tag_ext = ($is_constructed ? 0x20 : 0) | ($is_private ? 0xc0 : 0); - if ($tag < 0x1f) { - $out .= chr($tag | $tag_ext); - } else { - $out .= chr($tag_ext | 0x1f); - $tmp = chr($tag & 0x7f); - $tag >>= 7; - while ($tag) { - $tmp .= chr(($tag & 0x7f) | 0x80); - $tag >>= 7; - } - $out .= strrev($tmp); - } - - // encode ASN.1 object length - $len = strlen($str); - if ($len < 0x7f) { - $out .= chr($len); - } else { - $tmp = ''; - $n = 0; - while ($len) { - $tmp .= chr($len & 0xff); - $len >>= 8; - $n++; - } - $out .= chr($n | 0x80); - $out .= strrev($tmp); - } - - return $out . $str; - } - - /** - * Constructs ASN.1 string from binary representation of big integer - * - * @param string $str binary representation of big integer - * - * @return ASN.1-encoded string - * @access private - */ - function _ASN1StoreInt($str) - { - $str = strrev($str); - return Crypt_RSA_KeyPair::_ASN1Store($str, 0x02); - } - - /** - * Crypt_RSA_KeyPair constructor. - * - * Wrapper: name of math wrapper, which will be used to - * perform different operations with big integers. - * See contents of Crypt/RSA/Math folder for examples of wrappers. - * Read docs/Crypt_RSA/docs/math_wrappers.txt for details. - * - * @param int $key_len bit length of key pair, which will be generated in constructor - * @param string $wrapper_name wrapper name - * @param string $error_handler name of error handler function - * @param callback $random_generator function which will be used as random generator - * - * @access public - */ - function Crypt_RSA_KeyPair($key_len, $wrapper_name = 'default', $error_handler = '', $random_generator = null) - { - // set error handler - $this->setErrorHandler($error_handler); - // try to load math wrapper - $obj = &Crypt_RSA_MathLoader::loadWrapper($wrapper_name); - if ($this->isError($obj)) { - // error during loading of math wrapper - $this->pushError($obj); - return; - } - $this->_math_obj = &$obj; - - // set random generator - if (!$this->setRandomGenerator($random_generator)) { - // error in setRandomGenerator() function - return; - } - - if (is_array($key_len)) { - // ugly BC hack - it is possible to pass RSA private key attributes [version, n, e, d, p, q, dmp1, dmq1, iqmp] - // as associative array instead of key length to Crypt_RSA_KeyPair constructor - $rsa_attrs = $key_len; - - // convert attributes to big integers - $attr_names = $this->_get_attr_names(); - foreach ($attr_names as $attr) { - if (!isset($rsa_attrs[$attr])) { - $this->pushError("missing required RSA attribute [$attr]"); - return; - } - ${$attr} = $this->_math_obj->bin2int($rsa_attrs[$attr]); - } - - // check primality of p and q - if (!$this->_math_obj->isPrime($p)) { - $this->pushError("[p] must be prime"); - return; - } - if (!$this->_math_obj->isPrime($q)) { - $this->pushError("[q] must be prime"); - return; - } - - // check n = p * q - $n1 = $this->_math_obj->mul($p, $q); - if ($this->_math_obj->cmpAbs($n, $n1)) { - $this->pushError("n != p * q"); - return; - } - - // check e * d = 1 mod (p-1) * (q-1) - $p1 = $this->_math_obj->dec($p); - $q1 = $this->_math_obj->dec($q); - $p1q1 = $this->_math_obj->mul($p1, $q1); - $ed = $this->_math_obj->mul($e, $d); - $one = $this->_math_obj->mod($ed, $p1q1); - if (!$this->_math_obj->isOne($one)) { - $this->pushError("e * d != 1 mod (p-1)*(q-1)"); - return; - } - - // check dmp1 = d mod (p-1) - $dmp = $this->_math_obj->mod($d, $p1); - if ($this->_math_obj->cmpAbs($dmp, $dmp1)) { - $this->pushError("dmp1 != d mod (p-1)"); - return; - } - - // check dmq1 = d mod (q-1) - $dmq = $this->_math_obj->mod($d, $q1); - if ($this->_math_obj->cmpAbs($dmq, $dmq1)) { - $this->pushError("dmq1 != d mod (q-1)"); - return; - } - - // check iqmp = 1/q mod p - $q1 = $this->_math_obj->invmod($iqmp, $p); - if ($this->_math_obj->cmpAbs($q, $q1)) { - $this->pushError("iqmp != 1/q mod p"); - return; - } - - // try to create public key object - $public_key = &new Crypt_RSA_Key($rsa_attrs['n'], $rsa_attrs['e'], 'public', $wrapper_name, $error_handler); - if ($public_key->isError()) { - // error during creating public object - $this->pushError($public_key->getLastError()); - return; - } - - // try to create private key object - $private_key = &new Crypt_RSA_Key($rsa_attrs['n'], $rsa_attrs['d'], 'private', $wrapper_name, $error_handler); - if ($private_key->isError()) { - // error during creating private key object - $this->pushError($private_key->getLastError()); - return; - } - - $this->_public_key = $public_key; - $this->_private_key = $private_key; - $this->_key_len = $public_key->getKeyLength(); - $this->_attrs = $rsa_attrs; - } else { - // generate key pair - if (!$this->generate($key_len)) { - // error during generating key pair - return; - } - } - } - - /** - * Crypt_RSA_KeyPair factory. - * - * Wrapper - Name of math wrapper, which will be used to - * perform different operations with big integers. - * See contents of Crypt/RSA/Math folder for examples of wrappers. - * Read docs/Crypt_RSA/docs/math_wrappers.txt for details. - * - * @param int $key_len bit length of key pair, which will be generated in constructor - * @param string $wrapper_name wrapper name - * @param string $error_handler name of error handler function - * @param callback $random_generator function which will be used as random generator - * - * @return object new Crypt_RSA_KeyPair object on success or PEAR_Error object on failure - * @access public - */ - function &factory($key_len, $wrapper_name = 'default', $error_handler = '', $random_generator = null) - { - $obj = &new Crypt_RSA_KeyPair($key_len, $wrapper_name, $error_handler, $random_generator); - if ($obj->isError()) { - // error during creating a new object. Return PEAR_Error object - return $obj->getLastError(); - } - // object created successfully. Return it - return $obj; - } - - /** - * Generates new Crypt_RSA key pair with length $key_len. - * If $key_len is missed, use an old key length from $this->_key_len - * - * @param int $key_len bit length of key pair, which will be generated - * - * @return bool true on success or false on error - * @access public - */ - function generate($key_len = null) - { - if (is_null($key_len)) { - // use an old key length - $key_len = $this->_key_len; - if (is_null($key_len)) { - $this->pushError('missing key_len parameter', CRYPT_RSA_ERROR_MISSING_KEY_LEN); - return false; - } - } - - // minimal key length is 8 bit ;) - if ($key_len < 8) { - $key_len = 8; - } - // store key length in the _key_len property - $this->_key_len = $key_len; - - // set [e] to 0x10001 (65537) - $e = $this->_math_obj->bin2int("\x01\x00\x01"); - - // generate [p], [q] and [n] - $p_len = intval(($key_len + 1) / 2); - $q_len = $key_len - $p_len; - $p1 = $q1 = 0; - do { - // generate prime number [$p] with length [$p_len] with the following condition: - // GCD($e, $p - 1) = 1 - do { - $p = $this->_math_obj->getPrime($p_len, $this->_random_generator); - $p1 = $this->_math_obj->dec($p); - $tmp = $this->_math_obj->GCD($e, $p1); - } while (!$this->_math_obj->isOne($tmp)); - // generate prime number [$q] with length [$q_len] with the following conditions: - // GCD($e, $q - 1) = 1 - // $q != $p - do { - $q = $this->_math_obj->getPrime($q_len, $this->_random_generator); - $q1 = $this->_math_obj->dec($q); - $tmp = $this->_math_obj->GCD($e, $q1); - } while (!$this->_math_obj->isOne($tmp) && !$this->_math_obj->cmpAbs($q, $p)); - // if (p < q), then exchange them - if ($this->_math_obj->cmpAbs($p, $q) < 0) { - $tmp = $p; - $p = $q; - $q = $tmp; - $tmp = $p1; - $p1 = $q1; - $q1 = $tmp; - } - // calculate n = p * q - $n = $this->_math_obj->mul($p, $q); - } while ($this->_math_obj->bitLen($n) != $key_len); - - // calculate d = 1/e mod (p - 1) * (q - 1) - $pq = $this->_math_obj->mul($p1, $q1); - $d = $this->_math_obj->invmod($e, $pq); - - // calculate dmp1 = d mod (p - 1) - $dmp1 = $this->_math_obj->mod($d, $p1); - - // calculate dmq1 = d mod (q - 1) - $dmq1 = $this->_math_obj->mod($d, $q1); - - // calculate iqmp = 1/q mod p - $iqmp = $this->_math_obj->invmod($q, $p); - - // store RSA keypair attributes - $this->_attrs = array( - 'version' => "\x00", - 'n' => $this->_math_obj->int2bin($n), - 'e' => $this->_math_obj->int2bin($e), - 'd' => $this->_math_obj->int2bin($d), - 'p' => $this->_math_obj->int2bin($p), - 'q' => $this->_math_obj->int2bin($q), - 'dmp1' => $this->_math_obj->int2bin($dmp1), - 'dmq1' => $this->_math_obj->int2bin($dmq1), - 'iqmp' => $this->_math_obj->int2bin($iqmp), - ); - - $n = $this->_attrs['n']; - $e = $this->_attrs['e']; - $d = $this->_attrs['d']; - - // try to create public key object - $obj = &new Crypt_RSA_Key($n, $e, 'public', $this->_math_obj->getWrapperName(), $this->_error_handler); - if ($obj->isError()) { - // error during creating public object - $this->pushError($obj->getLastError()); - return false; - } - $this->_public_key = &$obj; - - // try to create private key object - $obj = &new Crypt_RSA_Key($n, $d, 'private', $this->_math_obj->getWrapperName(), $this->_error_handler); - if ($obj->isError()) { - // error during creating private key object - $this->pushError($obj->getLastError()); - return false; - } - $this->_private_key = &$obj; - - return true; // key pair successfully generated - } - - /** - * Returns public key from the pair - * - * @return object public key object of class Crypt_RSA_Key - * @access public - */ - function getPublicKey() - { - return $this->_public_key; - } - - /** - * Returns private key from the pair - * - * @return object private key object of class Crypt_RSA_Key - * @access public - */ - function getPrivateKey() - { - return $this->_private_key; - } - - /** - * Sets name of random generator function for key generation. - * If parameter is skipped, then sets to default random generator. - * - * Random generator function must return integer with at least 8 lower - * significant bits, which will be used as random values. - * - * @param string $random_generator name of random generator function - * - * @return bool true on success or false on error - * @access public - */ - function setRandomGenerator($random_generator = null) - { - static $default_random_generator = null; - - if (is_string($random_generator)) { - // set user's random generator - if (!function_exists($random_generator)) { - $this->pushError("can't find random generator function with name [{$random_generator}]"); - return false; - } - $this->_random_generator = $random_generator; - } else { - // set default random generator - $this->_random_generator = is_null($default_random_generator) ? - ($default_random_generator = create_function('', '$a=explode(" ",microtime());return(int)($a[0]*1000000);')) : - $default_random_generator; - } - return true; - } - - /** - * Returns length of each key in the key pair - * - * @return int bit length of each key in key pair - * @access public - */ - function getKeyLength() - { - return $this->_key_len; - } - - /** - * Retrieves RSA keypair from PEM-encoded string, containing RSA private key. - * Example of such string: - * -----BEGIN RSA PRIVATE KEY----- - * MCsCAQACBHtvbSECAwEAAQIEeYrk3QIDAOF3AgMAjCcCAmdnAgJMawIDALEk - * -----END RSA PRIVATE KEY----- - * - * Wrapper: Name of math wrapper, which will be used to - * perform different operations with big integers. - * See contents of Crypt/RSA/Math folder for examples of wrappers. - * Read docs/Crypt_RSA/docs/math_wrappers.txt for details. - * - * @param string $str PEM-encoded string - * @param string $wrapper_name Wrapper name - * @param string $error_handler name of error handler function - * - * @return Crypt_RSA_KeyPair object on success, PEAR_Error object on error - * @access public - * @static - */ - function &fromPEMString($str, $wrapper_name = 'default', $error_handler = '') - { - if (isset($this)) { - if ($wrapper_name == 'default') { - $wrapper_name = $this->_math_obj->getWrapperName(); - } - if ($error_handler == '') { - $error_handler = $this->_error_handler; - } - } - $err_handler = &new Crypt_RSA_ErrorHandler; - $err_handler->setErrorHandler($error_handler); - - // search for base64-encoded private key - if (!preg_match('/-----BEGIN RSA PRIVATE KEY-----([^-]+)-----END RSA PRIVATE KEY-----/', $str, $matches)) { - $err_handler->pushError("can't find RSA private key in the string [{$str}]"); - return $err_handler->getLastError(); - } - - // parse private key. It is ASN.1-encoded - $str = base64_decode($matches[1]); - $pos = 0; - $tmp = Crypt_RSA_KeyPair::_ASN1Parse($str, $pos, $err_handler); - if ($err_handler->isError()) { - return $err_handler->getLastError(); - } - if ($tmp['tag'] != 0x10) { - $errstr = sprintf("wrong ASN tag value: 0x%02x. Expected 0x10 (SEQUENCE)", $tmp['tag']); - $err_handler->pushError($errstr); - return $err_handler->getLastError(); - } - - // parse ASN.1 SEQUENCE for RSA private key - $attr_names = Crypt_RSA_KeyPair::_get_attr_names(); - $n = sizeof($attr_names); - $rsa_attrs = array(); - for ($i = 0; $i < $n; $i++) { - $tmp = Crypt_RSA_KeyPair::_ASN1ParseInt($str, $pos, $err_handler); - if ($err_handler->isError()) { - return $err_handler->getLastError(); - } - $attr = $attr_names[$i]; - $rsa_attrs[$attr] = $tmp; - } - - // create Crypt_RSA_KeyPair object. - $keypair = &new Crypt_RSA_KeyPair($rsa_attrs, $wrapper_name, $error_handler); - if ($keypair->isError()) { - return $keypair->getLastError(); - } - - return $keypair; - } - - /** - * converts keypair to PEM-encoded string, which can be stroed in - * .pem compatible files, contianing RSA private key. - * - * @return string PEM-encoded keypair on success, false on error - * @access public - */ - function toPEMString() - { - // store RSA private key attributes into ASN.1 string - $str = ''; - $attr_names = $this->_get_attr_names(); - $n = sizeof($attr_names); - $rsa_attrs = $this->_attrs; - for ($i = 0; $i < $n; $i++) { - $attr = $attr_names[$i]; - if (!isset($rsa_attrs[$attr])) { - $this->pushError("Cannot find value for ASN.1 attribute [$attr]"); - return false; - } - $tmp = $rsa_attrs[$attr]; - $str .= Crypt_RSA_KeyPair::_ASN1StoreInt($tmp); - } - - // prepend $str by ASN.1 SEQUENCE (0x10) header - $str = Crypt_RSA_KeyPair::_ASN1Store($str, 0x10, true); - - // encode and format PEM string - $str = base64_encode($str); - $str = chunk_split($str, 64, "\n"); - return "-----BEGIN RSA PRIVATE KEY-----\n$str-----END RSA PRIVATE KEY-----\n"; - } - - /** - * Compares keypairs in Crypt_RSA_KeyPair objects $this and $key_pair - * - * @param Crypt_RSA_KeyPair $key_pair keypair to compare - * - * @return bool true, if keypair stored in $this equal to keypair stored in $key_pair - * @access public - */ - function isEqual($key_pair) - { - $attr_names = $this->_get_attr_names(); - foreach ($attr_names as $attr) { - if ($this->_attrs[$attr] != $key_pair->_attrs[$attr]) { - return false; - } - } - return true; - } -} - -?> diff --git a/plugins/OStatus/extlib/Crypt/RSA/Math/BCMath.php b/plugins/OStatus/extlib/Crypt/RSA/Math/BCMath.php deleted file mode 100644 index 646ff6710..000000000 --- a/plugins/OStatus/extlib/Crypt/RSA/Math/BCMath.php +++ /dev/null @@ -1,482 +0,0 @@ -<?php -/** - * Crypt_RSA allows to do following operations: - * - key pair generation - * - encryption and decryption - * - signing and sign validation - * - * PHP versions 4 and 5 - * - * LICENSE: This source file is subject to version 3.0 of the PHP license - * that is available through the world-wide-web at the following URI: - * http://www.php.net/license/3_0.txt. If you did not receive a copy of - * the PHP License and are unable to obtain it through the web, please - * send a note to license@php.net so we can mail you a copy immediately. - * - * @category Encryption - * @package Crypt_RSA - * @author Alexander Valyalkin <valyala@gmail.com> - * @copyright 2006 Alexander Valyalkin - * @license http://www.php.net/license/3_0.txt PHP License 3.0 - * @version 1.2.0b - * @link http://pear.php.net/package/Crypt_RSA - */ - -/** - * Crypt_RSA_Math_BCMath class. - * - * Provides set of math functions, which are used by Crypt_RSA package - * This class is a wrapper for PHP BCMath extension. - * See http://php.net/manual/en/ref.bc.php for details. - * - * @category Encryption - * @package Crypt_RSA - * @author Alexander Valyalkin <valyala@gmail.com> - * @copyright 2005, 2006 Alexander Valyalkin - * @license http://www.php.net/license/3_0.txt PHP License 3.0 - * @link http://pear.php.net/package/Crypt_RSA - * @version @package_version@ - * @access public - */ -class Crypt_RSA_Math_BCMath -{ - /** - * error description - * - * @var string - * @access public - */ - var $errstr = ''; - - /** - * Performs Miller-Rabin primality test for number $num - * with base $base. Returns true, if $num is strong pseudoprime - * by base $base. Else returns false. - * - * @param string $num - * @param string $base - * @return bool - * @access private - */ - function _millerTest($num, $base) - { - if (!bccomp($num, '1')) { - // 1 is not prime ;) - return false; - } - $tmp = bcsub($num, '1'); - - $zero_bits = 0; - while (!bccomp(bcmod($tmp, '2'), '0')) { - $zero_bits++; - $tmp = bcdiv($tmp, '2'); - } - - $tmp = $this->powmod($base, $tmp, $num); - if (!bccomp($tmp, '1')) { - // $num is probably prime - return true; - } - - while ($zero_bits--) { - if (!bccomp(bcadd($tmp, '1'), $num)) { - // $num is probably prime - return true; - } - $tmp = $this->powmod($tmp, '2', $num); - } - // $num is composite - return false; - } - - /** - * Crypt_RSA_Math_BCMath constructor. - * Checks an existance of PHP BCMath extension. - * On failure saves error description in $this->errstr - * - * @access public - */ - function Crypt_RSA_Math_BCMath() - { - if (!extension_loaded('bcmath')) { - if (!@dl('bcmath.' . PHP_SHLIB_SUFFIX) && !@dl('php_bcmath.' . PHP_SHLIB_SUFFIX)) { - // cannot load BCMath extension. Set error string - $this->errstr = 'Crypt_RSA package requires the BCMath extension. See http://php.net/manual/en/ref.bc.php for details'; - return; - } - } - } - - /** - * Transforms binary representation of large integer into its native form. - * - * Example of transformation: - * $str = "\x12\x34\x56\x78\x90"; - * $num = 0x9078563412; - * - * @param string $str - * @return string - * @access public - */ - function bin2int($str) - { - $result = '0'; - $n = strlen($str); - do { - $result = bcadd(bcmul($result, '256'), ord($str{--$n})); - } while ($n > 0); - return $result; - } - - /** - * Transforms large integer into binary representation. - * - * Example of transformation: - * $num = 0x9078563412; - * $str = "\x12\x34\x56\x78\x90"; - * - * @param string $num - * @return string - * @access public - */ - function int2bin($num) - { - $result = ''; - do { - $result .= chr(bcmod($num, '256')); - $num = bcdiv($num, '256'); - } while (bccomp($num, '0')); - return $result; - } - - /** - * Calculates pow($num, $pow) (mod $mod) - * - * @param string $num - * @param string $pow - * @param string $mod - * @return string - * @access public - */ - function powmod($num, $pow, $mod) - { - if (function_exists('bcpowmod')) { - // bcpowmod is only available under PHP5 - return bcpowmod($num, $pow, $mod); - } - - // emulate bcpowmod - $result = '1'; - do { - if (!bccomp(bcmod($pow, '2'), '1')) { - $result = bcmod(bcmul($result, $num), $mod); - } - $num = bcmod(bcpow($num, '2'), $mod); - $pow = bcdiv($pow, '2'); - } while (bccomp($pow, '0')); - return $result; - } - - /** - * Calculates $num1 * $num2 - * - * @param string $num1 - * @param string $num2 - * @return string - * @access public - */ - function mul($num1, $num2) - { - return bcmul($num1, $num2); - } - - /** - * Calculates $num1 % $num2 - * - * @param string $num1 - * @param string $num2 - * @return string - * @access public - */ - function mod($num1, $num2) - { - return bcmod($num1, $num2); - } - - /** - * Compares abs($num1) to abs($num2). - * Returns: - * -1, if abs($num1) < abs($num2) - * 0, if abs($num1) == abs($num2) - * 1, if abs($num1) > abs($num2) - * - * @param string $num1 - * @param string $num2 - * @return int - * @access public - */ - function cmpAbs($num1, $num2) - { - return bccomp($num1, $num2); - } - - /** - * Tests $num on primality. Returns true, if $num is strong pseudoprime. - * Else returns false. - * - * @param string $num - * @return bool - * @access private - */ - function isPrime($num) - { - static $primes = null; - static $primes_cnt = 0; - if (is_null($primes)) { - // generate all primes up to 10000 - $primes = array(); - for ($i = 0; $i < 10000; $i++) { - $primes[] = $i; - } - $primes[0] = $primes[1] = 0; - for ($i = 2; $i < 100; $i++) { - while (!$primes[$i]) { - $i++; - } - $j = $i; - for ($j += $i; $j < 10000; $j += $i) { - $primes[$j] = 0; - } - } - $j = 0; - for ($i = 0; $i < 10000; $i++) { - if ($primes[$i]) { - $primes[$j++] = $primes[$i]; - } - } - $primes_cnt = $j; - } - - // try to divide number by small primes - for ($i = 0; $i < $primes_cnt; $i++) { - if (bccomp($num, $primes[$i]) <= 0) { - // number is prime - return true; - } - if (!bccomp(bcmod($num, $primes[$i]), '0')) { - // number divides by $primes[$i] - return false; - } - } - - /* - try Miller-Rabin's probable-primality test for first - 7 primes as bases - */ - for ($i = 0; $i < 7; $i++) { - if (!$this->_millerTest($num, $primes[$i])) { - // $num is composite - return false; - } - } - // $num is strong pseudoprime - return true; - } - - /** - * Generates prime number with length $bits_cnt - * using $random_generator as random generator function. - * - * @param int $bits_cnt - * @param string $rnd_generator - * @access public - */ - function getPrime($bits_cnt, $random_generator) - { - $bytes_n = intval($bits_cnt / 8); - $bits_n = $bits_cnt % 8; - do { - $str = ''; - for ($i = 0; $i < $bytes_n; $i++) { - $str .= chr(call_user_func($random_generator) & 0xff); - } - $n = call_user_func($random_generator) & 0xff; - $n |= 0x80; - $n >>= 8 - $bits_n; - $str .= chr($n); - $num = $this->bin2int($str); - - // search for the next closest prime number after [$num] - if (!bccomp(bcmod($num, '2'), '0')) { - $num = bcadd($num, '1'); - } - while (!$this->isPrime($num)) { - $num = bcadd($num, '2'); - } - } while ($this->bitLen($num) != $bits_cnt); - return $num; - } - - /** - * Calculates $num - 1 - * - * @param string $num - * @return string - * @access public - */ - function dec($num) - { - return bcsub($num, '1'); - } - - /** - * Returns true, if $num is equal to one. Else returns false - * - * @param string $num - * @return bool - * @access public - */ - function isOne($num) - { - return !bccomp($num, '1'); - } - - /** - * Finds greatest common divider (GCD) of $num1 and $num2 - * - * @param string $num1 - * @param string $num2 - * @return string - * @access public - */ - function GCD($num1, $num2) - { - do { - $tmp = bcmod($num1, $num2); - $num1 = $num2; - $num2 = $tmp; - } while (bccomp($num2, '0')); - return $num1; - } - - /** - * Finds inverse number $inv for $num by modulus $mod, such as: - * $inv * $num = 1 (mod $mod) - * - * @param string $num - * @param string $mod - * @return string - * @access public - */ - function invmod($num, $mod) - { - $x = '1'; - $y = '0'; - $num1 = $mod; - do { - $tmp = bcmod($num, $num1); - $q = bcdiv($num, $num1); - $num = $num1; - $num1 = $tmp; - - $tmp = bcsub($x, bcmul($y, $q)); - $x = $y; - $y = $tmp; - } while (bccomp($num1, '0')); - if (bccomp($x, '0') < 0) { - $x = bcadd($x, $mod); - } - return $x; - } - - /** - * Returns bit length of number $num - * - * @param string $num - * @return int - * @access public - */ - function bitLen($num) - { - $tmp = $this->int2bin($num); - $bit_len = strlen($tmp) * 8; - $tmp = ord($tmp{strlen($tmp) - 1}); - if (!$tmp) { - $bit_len -= 8; - } - else { - while (!($tmp & 0x80)) { - $bit_len--; - $tmp <<= 1; - } - } - return $bit_len; - } - - /** - * Calculates bitwise or of $num1 and $num2, - * starting from bit $start_pos for number $num1 - * - * @param string $num1 - * @param string $num2 - * @param int $start_pos - * @return string - * @access public - */ - function bitOr($num1, $num2, $start_pos) - { - $start_byte = intval($start_pos / 8); - $start_bit = $start_pos % 8; - $tmp1 = $this->int2bin($num1); - - $num2 = bcmul($num2, 1 << $start_bit); - $tmp2 = $this->int2bin($num2); - if ($start_byte < strlen($tmp1)) { - $tmp2 |= substr($tmp1, $start_byte); - $tmp1 = substr($tmp1, 0, $start_byte) . $tmp2; - } - else { - $tmp1 = str_pad($tmp1, $start_byte, "\0") . $tmp2; - } - return $this->bin2int($tmp1); - } - - /** - * Returns part of number $num, starting at bit - * position $start with length $length - * - * @param string $num - * @param int start - * @param int length - * @return string - * @access public - */ - function subint($num, $start, $length) - { - $start_byte = intval($start / 8); - $start_bit = $start % 8; - $byte_length = intval($length / 8); - $bit_length = $length % 8; - if ($bit_length) { - $byte_length++; - } - $num = bcdiv($num, 1 << $start_bit); - $tmp = substr($this->int2bin($num), $start_byte, $byte_length); - $tmp = str_pad($tmp, $byte_length, "\0"); - $tmp = substr_replace($tmp, $tmp{$byte_length - 1} & chr(0xff >> (8 - $bit_length)), $byte_length - 1, 1); - return $this->bin2int($tmp); - } - - /** - * Returns name of current wrapper - * - * @return string name of current wrapper - * @access public - */ - function getWrapperName() - { - return 'BCMath'; - } -} - -?>
\ No newline at end of file diff --git a/plugins/OStatus/extlib/Crypt/RSA/Math/BigInt.php b/plugins/OStatus/extlib/Crypt/RSA/Math/BigInt.php deleted file mode 100644 index b7ac24cb6..000000000 --- a/plugins/OStatus/extlib/Crypt/RSA/Math/BigInt.php +++ /dev/null @@ -1,313 +0,0 @@ -<?php -/** - * Crypt_RSA allows to do following operations: - * - key pair generation - * - encryption and decryption - * - signing and sign validation - * - * PHP versions 4 and 5 - * - * LICENSE: This source file is subject to version 3.0 of the PHP license - * that is available through the world-wide-web at the following URI: - * http://www.php.net/license/3_0.txt. If you did not receive a copy of - * the PHP License and are unable to obtain it through the web, please - * send a note to license@php.net so we can mail you a copy immediately. - * - * @category Encryption - * @package Crypt_RSA - * @author Alexander Valyalkin <valyala@gmail.com> - * @copyright 2005, 2006 Alexander Valyalkin - * @license http://www.php.net/license/3_0.txt PHP License 3.0 - * @version 1.2.0b - * @link http://pear.php.net/package/Crypt_RSA - */ - -/** - * Crypt_RSA_Math_BigInt class. - * - * Provides set of math functions, which are used by Crypt_RSA package - * This class is a wrapper for big_int PECL extension, - * which could be loaded from http://pecl.php.net/packages/big_int - * - * @category Encryption - * @package Crypt_RSA - * @author Alexander Valyalkin <valyala@gmail.com> - * @copyright 2005, 2006 Alexander Valyalkin - * @license http://www.php.net/license/3_0.txt PHP License 3.0 - * @link http://pear.php.net/package/Crypt_RSA - * @version @package_version@ - * @access public - */ -class Crypt_RSA_Math_BigInt -{ - /** - * error description - * - * @var string - * @access public - */ - var $errstr = ''; - - /** - * Crypt_RSA_Math_BigInt constructor. - * Checks an existance of big_int PECL math package. - * This package is available at http://pecl.php.net/packages/big_int - * On failure saves error description in $this->errstr - * - * @access public - */ - function Crypt_RSA_Math_BigInt() - { - if (!extension_loaded('big_int')) { - if (!@dl('big_int.' . PHP_SHLIB_SUFFIX) && !@dl('php_big_int.' . PHP_SHLIB_SUFFIX)) { - // cannot load big_int extension - $this->errstr = 'Crypt_RSA package requires big_int PECL package. ' . - 'It is available at http://pecl.php.net/packages/big_int'; - return; - } - } - - // check version of big_int extension ( Crypt_RSA requires version 1.0.2 and higher ) - if (!in_array('bi_info', get_extension_funcs('big_int'))) { - // there is no bi_info() function in versions, older than 1.0.2 - $this->errstr = 'Crypt_RSA package requires big_int package version 1.0.2 and higher'; - } - } - - /** - * Transforms binary representation of large integer into its native form. - * - * Example of transformation: - * $str = "\x12\x34\x56\x78\x90"; - * $num = 0x9078563412; - * - * @param string $str - * @return big_int resource - * @access public - */ - function bin2int($str) - { - return bi_unserialize($str); - } - - /** - * Transforms large integer into binary representation. - * - * Example of transformation: - * $num = 0x9078563412; - * $str = "\x12\x34\x56\x78\x90"; - * - * @param big_int resource $num - * @return string - * @access public - */ - function int2bin($num) - { - return bi_serialize($num); - } - - /** - * Calculates pow($num, $pow) (mod $mod) - * - * @param big_int resource $num - * @param big_int resource $pow - * @param big_int resource $mod - * @return big_int resource - * @access public - */ - function powmod($num, $pow, $mod) - { - return bi_powmod($num, $pow, $mod); - } - - /** - * Calculates $num1 * $num2 - * - * @param big_int resource $num1 - * @param big_int resource $num2 - * @return big_int resource - * @access public - */ - function mul($num1, $num2) - { - return bi_mul($num1, $num2); - } - - /** - * Calculates $num1 % $num2 - * - * @param string $num1 - * @param string $num2 - * @return string - * @access public - */ - function mod($num1, $num2) - { - return bi_mod($num1, $num2); - } - - /** - * Compares abs($num1) to abs($num2). - * Returns: - * -1, if abs($num1) < abs($num2) - * 0, if abs($num1) == abs($num2) - * 1, if abs($num1) > abs($num2) - * - * @param big_int resource $num1 - * @param big_int resource $num2 - * @return int - * @access public - */ - function cmpAbs($num1, $num2) - { - return bi_cmp_abs($num1, $num2); - } - - /** - * Tests $num on primality. Returns true, if $num is strong pseudoprime. - * Else returns false. - * - * @param string $num - * @return bool - * @access private - */ - function isPrime($num) - { - return bi_is_prime($num) ? true : false; - } - - /** - * Generates prime number with length $bits_cnt - * using $random_generator as random generator function. - * - * @param int $bits_cnt - * @param string $rnd_generator - * @access public - */ - function getPrime($bits_cnt, $random_generator) - { - $bytes_n = intval($bits_cnt / 8); - $bits_n = $bits_cnt % 8; - do { - $str = ''; - for ($i = 0; $i < $bytes_n; $i++) { - $str .= chr(call_user_func($random_generator) & 0xff); - } - $n = call_user_func($random_generator) & 0xff; - $n |= 0x80; - $n >>= 8 - $bits_n; - $str .= chr($n); - $num = $this->bin2int($str); - - // search for the next closest prime number after [$num] - $num = bi_next_prime($num); - } while ($this->bitLen($num) != $bits_cnt); - return $num; - } - - /** - * Calculates $num - 1 - * - * @param big_int resource $num - * @return big_int resource - * @access public - */ - function dec($num) - { - return bi_dec($num); - } - - /** - * Returns true, if $num is equal to 1. Else returns false - * - * @param big_int resource $num - * @return bool - * @access public - */ - function isOne($num) - { - return bi_is_one($num); - } - - /** - * Finds greatest common divider (GCD) of $num1 and $num2 - * - * @param big_int resource $num1 - * @param big_int resource $num2 - * @return big_int resource - * @access public - */ - function GCD($num1, $num2) - { - return bi_gcd($num1, $num2); - } - - /** - * Finds inverse number $inv for $num by modulus $mod, such as: - * $inv * $num = 1 (mod $mod) - * - * @param big_int resource $num - * @param big_int resource $mod - * @return big_int resource - * @access public - */ - function invmod($num, $mod) - { - return bi_invmod($num, $mod); - } - - /** - * Returns bit length of number $num - * - * @param big_int resource $num - * @return int - * @access public - */ - function bitLen($num) - { - return bi_bit_len($num); - } - - /** - * Calculates bitwise or of $num1 and $num2, - * starting from bit $start_pos for number $num1 - * - * @param big_int resource $num1 - * @param big_int resource $num2 - * @param int $start_pos - * @return big_int resource - * @access public - */ - function bitOr($num1, $num2, $start_pos) - { - return bi_or($num1, $num2, $start_pos); - } - - /** - * Returns part of number $num, starting at bit - * position $start with length $length - * - * @param big_int resource $num - * @param int start - * @param int length - * @return big_int resource - * @access public - */ - function subint($num, $start, $length) - { - return bi_subint($num, $start, $length); - } - - /** - * Returns name of current wrapper - * - * @return string name of current wrapper - * @access public - */ - function getWrapperName() - { - return 'BigInt'; - } -} - -?>
\ No newline at end of file diff --git a/plugins/OStatus/extlib/Crypt/RSA/Math/GMP.php b/plugins/OStatus/extlib/Crypt/RSA/Math/GMP.php deleted file mode 100644 index 54e4c34fc..000000000 --- a/plugins/OStatus/extlib/Crypt/RSA/Math/GMP.php +++ /dev/null @@ -1,361 +0,0 @@ -<?php -/** - * Crypt_RSA allows to do following operations: - * - key pair generation - * - encryption and decryption - * - signing and sign validation - * - * PHP versions 4 and 5 - * - * LICENSE: This source file is subject to version 3.0 of the PHP license - * that is available through the world-wide-web at the following URI: - * http://www.php.net/license/3_0.txt. If you did not receive a copy of - * the PHP License and are unable to obtain it through the web, please - * send a note to license@php.net so we can mail you a copy immediately. - * - * @category Encryption - * @package Crypt_RSA - * @author Alexander Valyalkin <valyala@gmail.com> - * @copyright 2005, 2006 Alexander Valyalkin - * @license http://www.php.net/license/3_0.txt PHP License 3.0 - * @version 1.2.0b - * @link http://pear.php.net/package/Crypt_RSA - */ - -/** - * Crypt_RSA_Math_GMP class. - * - * Provides set of math functions, which are used by Crypt_RSA package - * This class is a wrapper for PHP GMP extension. - * See http://php.net/gmp for details. - * - * @category Encryption - * @package Crypt_RSA - * @author Alexander Valyalkin <valyala@gmail.com> - * @copyright 2005, 2006 Alexander Valyalkin - * @license http://www.php.net/license/3_0.txt PHP License 3.0 - * @link http://pear.php.net/package/Crypt_RSA - * @version @package_version@ - * @access public - */ -class Crypt_RSA_Math_GMP -{ - /** - * error description - * - * @var string - * @access public - */ - var $errstr = ''; - - /** - * Crypt_RSA_Math_GMP constructor. - * Checks an existance of PHP GMP package. - * See http://php.net/gmp for details. - * - * On failure saves error description in $this->errstr - * - * @access public - */ - function Crypt_RSA_Math_GMP() - { - if (!extension_loaded('gmp')) { - if (!@dl('gmp.' . PHP_SHLIB_SUFFIX) && !@dl('php_gmp.' . PHP_SHLIB_SUFFIX)) { - // cannot load GMP extension - $this->errstr = 'Crypt_RSA package requires PHP GMP package. ' . - 'See http://php.net/gmp for details'; - return; - } - } - } - - /** - * Transforms binary representation of large integer into its native form. - * - * Example of transformation: - * $str = "\x12\x34\x56\x78\x90"; - * $num = 0x9078563412; - * - * @param string $str - * @return gmp resource - * @access public - */ - function bin2int($str) - { - $result = 0; - $n = strlen($str); - do { - // dirty hack: GMP returns FALSE, when second argument equals to int(0). - // so, it must be converted to string '0' - $result = gmp_add(gmp_mul($result, 256), strval(ord($str{--$n}))); - } while ($n > 0); - return $result; - } - - /** - * Transforms large integer into binary representation. - * - * Example of transformation: - * $num = 0x9078563412; - * $str = "\x12\x34\x56\x78\x90"; - * - * @param gmp resource $num - * @return string - * @access public - */ - function int2bin($num) - { - $result = ''; - do { - $result .= chr(gmp_intval(gmp_mod($num, 256))); - $num = gmp_div($num, 256); - } while (gmp_cmp($num, 0)); - return $result; - } - - /** - * Calculates pow($num, $pow) (mod $mod) - * - * @param gmp resource $num - * @param gmp resource $pow - * @param gmp resource $mod - * @return gmp resource - * @access public - */ - function powmod($num, $pow, $mod) - { - return gmp_powm($num, $pow, $mod); - } - - /** - * Calculates $num1 * $num2 - * - * @param gmp resource $num1 - * @param gmp resource $num2 - * @return gmp resource - * @access public - */ - function mul($num1, $num2) - { - return gmp_mul($num1, $num2); - } - - /** - * Calculates $num1 % $num2 - * - * @param string $num1 - * @param string $num2 - * @return string - * @access public - */ - function mod($num1, $num2) - { - return gmp_mod($num1, $num2); - } - - /** - * Compares abs($num1) to abs($num2). - * Returns: - * -1, if abs($num1) < abs($num2) - * 0, if abs($num1) == abs($num2) - * 1, if abs($num1) > abs($num2) - * - * @param gmp resource $num1 - * @param gmp resource $num2 - * @return int - * @access public - */ - function cmpAbs($num1, $num2) - { - return gmp_cmp($num1, $num2); - } - - /** - * Tests $num on primality. Returns true, if $num is strong pseudoprime. - * Else returns false. - * - * @param string $num - * @return bool - * @access private - */ - function isPrime($num) - { - return gmp_prob_prime($num) ? true : false; - } - - /** - * Generates prime number with length $bits_cnt - * using $random_generator as random generator function. - * - * @param int $bits_cnt - * @param string $rnd_generator - * @access public - */ - function getPrime($bits_cnt, $random_generator) - { - $bytes_n = intval($bits_cnt / 8); - $bits_n = $bits_cnt % 8; - do { - $str = ''; - for ($i = 0; $i < $bytes_n; $i++) { - $str .= chr(call_user_func($random_generator) & 0xff); - } - $n = call_user_func($random_generator) & 0xff; - $n |= 0x80; - $n >>= 8 - $bits_n; - $str .= chr($n); - $num = $this->bin2int($str); - - // search for the next closest prime number after [$num] - if (!gmp_cmp(gmp_mod($num, '2'), '0')) { - $num = gmp_add($num, '1'); - } - while (!gmp_prob_prime($num)) { - $num = gmp_add($num, '2'); - } - } while ($this->bitLen($num) != $bits_cnt); - return $num; - } - - /** - * Calculates $num - 1 - * - * @param gmp resource $num - * @return gmp resource - * @access public - */ - function dec($num) - { - return gmp_sub($num, 1); - } - - /** - * Returns true, if $num is equal to one. Else returns false - * - * @param gmp resource $num - * @return bool - * @access public - */ - function isOne($num) - { - return !gmp_cmp($num, 1); - } - - /** - * Finds greatest common divider (GCD) of $num1 and $num2 - * - * @param gmp resource $num1 - * @param gmp resource $num2 - * @return gmp resource - * @access public - */ - function GCD($num1, $num2) - { - return gmp_gcd($num1, $num2); - } - - /** - * Finds inverse number $inv for $num by modulus $mod, such as: - * $inv * $num = 1 (mod $mod) - * - * @param gmp resource $num - * @param gmp resource $mod - * @return gmp resource - * @access public - */ - function invmod($num, $mod) - { - return gmp_invert($num, $mod); - } - - /** - * Returns bit length of number $num - * - * @param gmp resource $num - * @return int - * @access public - */ - function bitLen($num) - { - $tmp = $this->int2bin($num); - $bit_len = strlen($tmp) * 8; - $tmp = ord($tmp{strlen($tmp) - 1}); - if (!$tmp) { - $bit_len -= 8; - } - else { - while (!($tmp & 0x80)) { - $bit_len--; - $tmp <<= 1; - } - } - return $bit_len; - } - - /** - * Calculates bitwise or of $num1 and $num2, - * starting from bit $start_pos for number $num1 - * - * @param gmp resource $num1 - * @param gmp resource $num2 - * @param int $start_pos - * @return gmp resource - * @access public - */ - function bitOr($num1, $num2, $start_pos) - { - $start_byte = intval($start_pos / 8); - $start_bit = $start_pos % 8; - $tmp1 = $this->int2bin($num1); - - $num2 = gmp_mul($num2, 1 << $start_bit); - $tmp2 = $this->int2bin($num2); - if ($start_byte < strlen($tmp1)) { - $tmp2 |= substr($tmp1, $start_byte); - $tmp1 = substr($tmp1, 0, $start_byte) . $tmp2; - } - else { - $tmp1 = str_pad($tmp1, $start_byte, "\0") . $tmp2; - } - return $this->bin2int($tmp1); - } - - /** - * Returns part of number $num, starting at bit - * position $start with length $length - * - * @param gmp resource $num - * @param int start - * @param int length - * @return gmp resource - * @access public - */ - function subint($num, $start, $length) - { - $start_byte = intval($start / 8); - $start_bit = $start % 8; - $byte_length = intval($length / 8); - $bit_length = $length % 8; - if ($bit_length) { - $byte_length++; - } - $num = gmp_div($num, 1 << $start_bit); - $tmp = substr($this->int2bin($num), $start_byte, $byte_length); - $tmp = str_pad($tmp, $byte_length, "\0"); - $tmp = substr_replace($tmp, $tmp{$byte_length - 1} & chr(0xff >> (8 - $bit_length)), $byte_length - 1, 1); - return $this->bin2int($tmp); - } - - /** - * Returns name of current wrapper - * - * @return string name of current wrapper - * @access public - */ - function getWrapperName() - { - return 'GMP'; - } -} - -?>
\ No newline at end of file diff --git a/plugins/OStatus/extlib/Crypt/RSA/MathLoader.php b/plugins/OStatus/extlib/Crypt/RSA/MathLoader.php deleted file mode 100644 index de6c94642..000000000 --- a/plugins/OStatus/extlib/Crypt/RSA/MathLoader.php +++ /dev/null @@ -1,135 +0,0 @@ -<?php -/** - * Crypt_RSA allows to do following operations: - * - key pair generation - * - encryption and decryption - * - signing and sign validation - * - * PHP versions 4 and 5 - * - * LICENSE: This source file is subject to version 3.0 of the PHP license - * that is available through the world-wide-web at the following URI: - * http://www.php.net/license/3_0.txt. If you did not receive a copy of - * the PHP License and are unable to obtain it through the web, please - * send a note to license@php.net so we can mail you a copy immediately. - * - * @category Encryption - * @package Crypt_RSA - * @author Alexander Valyalkin <valyala@gmail.com> - * @copyright Alexander Valyalkin 2005 - * @license http://www.php.net/license/3_0.txt PHP License 3.0 - * @version CVS: $Id: MathLoader.php,v 1.5 2009/01/05 08:30:29 clockwerx Exp $ - * @link http://pear.php.net/package/Crypt_RSA - */ - -/** - * RSA error handling facilities - */ -require_once 'Crypt/RSA/ErrorHandler.php'; - -/** - * Crypt_RSA_MathLoader class. - * - * Provides static function: - * - loadWrapper($wrapper_name) - loads RSA math wrapper with name $wrapper_name - * or most suitable wrapper if $wrapper_name == 'default' - * - * Example usage: - * // load BigInt wrapper - * $big_int_wrapper = Crypt_RSA_MathLoader::loadWrapper('BigInt'); - * - * // load BCMath wrapper - * $bcmath_wrapper = Crypt_RSA_MathLoader::loadWrapper('BCMath'); - * - * // load the most suitable wrapper - * $bcmath_wrapper = Crypt_RSA_MathLoader::loadWrapper(); - * - * @category Encryption - * @package Crypt_RSA - * @author Alexander Valyalkin <valyala@gmail.com> - * @copyright Alexander Valyalkin 2005 - * @license http://www.php.net/license/3_0.txt PHP License 3.0 - * @version Release: @package_version@ - * @link http://pear.php.net/package/Crypt_RSA - * @access public - */ -class Crypt_RSA_MathLoader -{ - /** - * Loads RSA math wrapper with name $wrapper_name. - * Implemented wrappers can be found at Crypt/RSA/Math folder. - * Read docs/Crypt_RSA/docs/math_wrappers.txt for details - * - * This is a static function: - * // load BigInt wrapper - * $big_int_wrapper = &Crypt_RSA_MathLoader::loadWrapper('BigInt'); - * - * // load BCMath wrapper - * $bcmath_wrapper = &Crypt_RSA_MathLoader::loadWrapper('BCMath'); - * - * @param string $wrapper_name Name of wrapper - * - * @return object - * Reference to object of wrapper with name $wrapper_name on success - * or PEAR_Error object on error - * - * @access public - */ - function loadWrapper($wrapper_name = 'default') - { - static $math_objects = array(); - // ordered by performance. GMP is the fastest math library, BCMath - the slowest. - static $math_wrappers = array('GMP', 'BigInt', 'BCMath',); - - if (isset($math_objects[$wrapper_name])) { - /* - wrapper with name $wrapper_name is already loaded and created. - Return reference to existing copy of wrapper - */ - return $math_objects[$wrapper_name]; - } - - $err_handler = new Crypt_RSA_ErrorHandler(); - - if ($wrapper_name === 'default') { - // try to load the most suitable wrapper - $n = sizeof($math_wrappers); - for ($i = 0; $i < $n; $i++) { - $obj = Crypt_RSA_MathLoader::loadWrapper($math_wrappers[$i]); - if (!$err_handler->isError($obj)) { - // wrapper for $math_wrappers[$i] successfully loaded - // register it as default wrapper and return reference to it - return $math_objects['default'] = $obj; - } - } - // can't load any wrapper - $err_handler->pushError("can't load any wrapper for existing math libraries", CRYPT_RSA_ERROR_NO_WRAPPERS); - return $err_handler->getLastError(); - } - - $class_name = 'Crypt_RSA_Math_' . $wrapper_name; - $class_filename = dirname(__FILE__) . '/Math/' . $wrapper_name . '.php'; - - if (!is_file($class_filename)) { - $err_handler->pushError("can't find file [{$class_filename}] for RSA math wrapper [{$wrapper_name}]", CRYPT_RSA_ERROR_NO_FILE); - return $err_handler->getLastError(); - } - - include_once $class_filename; - if (!class_exists($class_name)) { - $err_handler->pushError("can't find class [{$class_name}] in file [{$class_filename}]", CRYPT_RSA_ERROR_NO_CLASS); - return $err_handler->getLastError(); - } - - // create and return wrapper object on success or PEAR_Error object on error - $obj = new $class_name; - if ($obj->errstr) { - // cannot load required extension for math wrapper - $err_handler->pushError($obj->errstr, CRYPT_RSA_ERROR_NO_EXT); - return $err_handler->getLastError(); - } - return $math_objects[$wrapper_name] = $obj; - } -} - -?> diff --git a/plugins/OStatus/extlib/Crypt/Random.php b/plugins/OStatus/extlib/Crypt/Random.php new file mode 100644 index 000000000..bfc24ca62 --- /dev/null +++ b/plugins/OStatus/extlib/Crypt/Random.php @@ -0,0 +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 1.6 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 new file mode 100644 index 000000000..3b5fd6a7d --- /dev/null +++ b/plugins/OStatus/extlib/Crypt/Rijndael.php @@ -0,0 +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 1.12 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 new file mode 100644 index 000000000..9d054086a --- /dev/null +++ b/plugins/OStatus/extlib/Crypt/TripleDES.php @@ -0,0 +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 1.13 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 new file mode 100644 index 000000000..9733351d4 --- /dev/null +++ b/plugins/OStatus/extlib/Math/BigInteger.php @@ -0,0 +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). + * + * 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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