diff options
Diffstat (limited to 'mod/openid_server/Crypt/RSA/KeyPair.php')
-rw-r--r-- | mod/openid_server/Crypt/RSA/KeyPair.php | 804 |
1 files changed, 804 insertions, 0 deletions
diff --git a/mod/openid_server/Crypt/RSA/KeyPair.php b/mod/openid_server/Crypt/RSA/KeyPair.php new file mode 100644 index 000000000..ecc0b7dc7 --- /dev/null +++ b/mod/openid_server/Crypt/RSA/KeyPair.php @@ -0,0 +1,804 @@ +<?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; + } +} + +?> |