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-rw-r--r--mod/openid_server/Crypt/RSA/ErrorHandler.php234
-rw-r--r--mod/openid_server/Crypt/RSA/Key.php314
-rw-r--r--mod/openid_server/Crypt/RSA/KeyPair.php804
-rw-r--r--mod/openid_server/Crypt/RSA/Math/BCMath.php482
-rw-r--r--mod/openid_server/Crypt/RSA/Math/BigInt.php313
-rw-r--r--mod/openid_server/Crypt/RSA/Math/GMP.php361
-rw-r--r--mod/openid_server/Crypt/RSA/MathLoader.php135
7 files changed, 2643 insertions, 0 deletions
diff --git a/mod/openid_server/Crypt/RSA/ErrorHandler.php b/mod/openid_server/Crypt/RSA/ErrorHandler.php
new file mode 100644
index 000000000..8f39741e0
--- /dev/null
+++ b/mod/openid_server/Crypt/RSA/ErrorHandler.php
@@ -0,0 +1,234 @@
+<?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/mod/openid_server/Crypt/RSA/Key.php b/mod/openid_server/Crypt/RSA/Key.php
new file mode 100644
index 000000000..72a71e2d0
--- /dev/null
+++ b/mod/openid_server/Crypt/RSA/Key.php
@@ -0,0 +1,314 @@
+<?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/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;
+ }
+}
+
+?>
diff --git a/mod/openid_server/Crypt/RSA/Math/BCMath.php b/mod/openid_server/Crypt/RSA/Math/BCMath.php
new file mode 100644
index 000000000..646ff6710
--- /dev/null
+++ b/mod/openid_server/Crypt/RSA/Math/BCMath.php
@@ -0,0 +1,482 @@
+<?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/mod/openid_server/Crypt/RSA/Math/BigInt.php b/mod/openid_server/Crypt/RSA/Math/BigInt.php
new file mode 100644
index 000000000..b7ac24cb6
--- /dev/null
+++ b/mod/openid_server/Crypt/RSA/Math/BigInt.php
@@ -0,0 +1,313 @@
+<?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/mod/openid_server/Crypt/RSA/Math/GMP.php b/mod/openid_server/Crypt/RSA/Math/GMP.php
new file mode 100644
index 000000000..54e4c34fc
--- /dev/null
+++ b/mod/openid_server/Crypt/RSA/Math/GMP.php
@@ -0,0 +1,361 @@
+<?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/mod/openid_server/Crypt/RSA/MathLoader.php b/mod/openid_server/Crypt/RSA/MathLoader.php
new file mode 100644
index 000000000..de6c94642
--- /dev/null
+++ b/mod/openid_server/Crypt/RSA/MathLoader.php
@@ -0,0 +1,135 @@
+<?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;
+ }
+}
+
+?>