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Файл: oc-includes/phpseclib/Crypt/RSA.php
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<?php

/**
 * Pure-PHP PKCS#1 (v2.1) compliant implementation of RSA.
 *
 * PHP versions 4 and 5
 *
 * Here's an example of how to encrypt and decrypt text with this library:
 * <code>
 * <?php
 *    include 'Crypt/RSA.php';
 *
 *    $rsa = new Crypt_RSA();
 *    extract($rsa->createKey());
 *
 *    $plaintext = 'terrafrost';
 *
 *    $rsa->loadKey($privatekey);
 *    $ciphertext = $rsa->encrypt($plaintext);
 *
 *    $rsa->loadKey($publickey);
 *    echo $rsa->decrypt($ciphertext);
 * ?>
 * </code>
 *
 * Here's an example of how to create signatures and verify signatures with this library:
 * <code>
 * <?php
 *    include 'Crypt/RSA.php';
 *
 *    $rsa = new Crypt_RSA();
 *    extract($rsa->createKey());
 *
 *    $plaintext = 'terrafrost';
 *
 *    $rsa->loadKey($privatekey);
 *    $signature = $rsa->sign($plaintext);
 *
 *    $rsa->loadKey($publickey);
 *    echo $rsa->verify($plaintext, $signature) ? 'verified' : 'unverified';
 * ?>
 * </code>
 *
 * LICENSE: Permission is hereby granted, free of charge, to any person obtaining a copy
 * of this software and associated documentation files (the "Software"), to deal
 * in the Software without restriction, including without limitation the rights
 * to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
 * copies of the Software, and to permit persons to whom the Software is
 * furnished to do so, subject to the following conditions:
 *
 * The above copyright notice and this permission notice shall be included in
 * all copies or substantial portions of the Software.
 *
 * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
 * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
 * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
 * AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
 * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
 * OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
 * THE SOFTWARE.
 *
 * @category  Crypt
 * @package   Crypt_RSA
 * @author    Jim Wigginton <terrafrost@php.net>
 * @copyright 2009 Jim Wigginton
 * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
 * @link      http://phpseclib.sourceforge.net
 */

/**
 * Include Crypt_Random
 */
// the class_exists() will only be called if the crypt_random_string function hasn't been defined and
// will trigger a call to __autoload() if you're wanting to auto-load classes
// call function_exists() a second time to stop the include_once from being called outside
// of the auto loader
if (!function_exists('crypt_random_string')) {
    include_once 
'Random.php';
}

/**
 * Include Crypt_Hash
 */
if (!class_exists('Crypt_Hash')) {
    include_once 
'Hash.php';
}

/**#@+
 * @access public
 * @see Crypt_RSA::encrypt()
 * @see Crypt_RSA::decrypt()
 */
/**
 * Use {@link http://en.wikipedia.org/wiki/Optimal_Asymmetric_Encryption_Padding Optimal Asymmetric Encryption Padding}
 * (OAEP) for encryption / decryption.
 *
 * Uses sha1 by default.
 *
 * @see Crypt_RSA::setHash()
 * @see Crypt_RSA::setMGFHash()
 */
define('CRYPT_RSA_ENCRYPTION_OAEP',  1);
/**
 * Use PKCS#1 padding.
 *
 * Although CRYPT_RSA_ENCRYPTION_OAEP offers more security, including PKCS#1 padding is necessary for purposes of backwards
 * compatibility with protocols (like SSH-1) written before OAEP's introduction.
 */
define('CRYPT_RSA_ENCRYPTION_PKCS1'2);
/**
 * Do not use any padding
 *
 * Although this method is not recommended it can none-the-less sometimes be useful if you're trying to decrypt some legacy
 * stuff, if you're trying to diagnose why an encrypted message isn't decrypting, etc.
 */
define('CRYPT_RSA_ENCRYPTION_NONE'3);
/**#@-*/

/**#@+
 * @access public
 * @see Crypt_RSA::sign()
 * @see Crypt_RSA::verify()
 * @see Crypt_RSA::setHash()
 */
/**
 * Use the Probabilistic Signature Scheme for signing
 *
 * Uses sha1 by default.
 *
 * @see Crypt_RSA::setSaltLength()
 * @see Crypt_RSA::setMGFHash()
 */
define('CRYPT_RSA_SIGNATURE_PSS',  1);
/**
 * Use the PKCS#1 scheme by default.
 *
 * Although CRYPT_RSA_SIGNATURE_PSS offers more security, including PKCS#1 signing is necessary for purposes of backwards
 * compatibility with protocols (like SSH-2) written before PSS's introduction.
 */
define('CRYPT_RSA_SIGNATURE_PKCS1'2);
/**#@-*/

/**#@+
 * @access private
 * @see Crypt_RSA::createKey()
 */
/**
 * ASN1 Integer
 */
define('CRYPT_RSA_ASN1_INTEGER',     2);
/**
 * ASN1 Bit String
 */
define('CRYPT_RSA_ASN1_BITSTRING',   3);
/**
 * ASN1 Octet String
 */
define('CRYPT_RSA_ASN1_OCTETSTRING'4);
/**
 * ASN1 Object Identifier
 */
define('CRYPT_RSA_ASN1_OBJECT',      6);
/**
 * ASN1 Sequence (with the constucted bit set)
 */
define('CRYPT_RSA_ASN1_SEQUENCE',   48);
/**#@-*/

/**#@+
 * @access private
 * @see Crypt_RSA::Crypt_RSA()
 */
/**
 * To use the pure-PHP implementation
 */
define('CRYPT_RSA_MODE_INTERNAL'1);
/**
 * To use the OpenSSL library
 *
 * (if enabled; otherwise, the internal implementation will be used)
 */
define('CRYPT_RSA_MODE_OPENSSL'2);
/**#@-*/

/**
 * Default openSSL configuration file.
 */
define('CRYPT_RSA_OPENSSL_CONFIG'dirname(__FILE__) . '/../openssl.cnf');

/**#@+
 * @access public
 * @see Crypt_RSA::createKey()
 * @see Crypt_RSA::setPrivateKeyFormat()
 */
/**
 * PKCS#1 formatted private key
 *
 * Used by OpenSSH
 */
define('CRYPT_RSA_PRIVATE_FORMAT_PKCS1'0);
/**
 * PuTTY formatted private key
 */
define('CRYPT_RSA_PRIVATE_FORMAT_PUTTY'1);
/**
 * XML formatted private key
 */
define('CRYPT_RSA_PRIVATE_FORMAT_XML'2);
/**
 * PKCS#8 formatted private key
 */
define('CRYPT_RSA_PRIVATE_FORMAT_PKCS8'3);
/**#@-*/

/**#@+
 * @access public
 * @see Crypt_RSA::createKey()
 * @see Crypt_RSA::setPublicKeyFormat()
 */
/**
 * Raw public key
 *
 * An array containing two Math_BigInteger objects.
 *
 * The exponent can be indexed with any of the following:
 *
 * 0, e, exponent, publicExponent
 *
 * The modulus can be indexed with any of the following:
 *
 * 1, n, modulo, modulus
 */
define('CRYPT_RSA_PUBLIC_FORMAT_RAW'3);
/**
 * PKCS#1 formatted public key (raw)
 *
 * Used by File/X509.php
 *
 * Has the following header:
 *
 * -----BEGIN RSA PUBLIC KEY-----
 *
 * Analogous to ssh-keygen's pem format (as specified by -m)
 */
define('CRYPT_RSA_PUBLIC_FORMAT_PKCS1'4);
define('CRYPT_RSA_PUBLIC_FORMAT_PKCS1_RAW'4);
/**
 * XML formatted public key
 */
define('CRYPT_RSA_PUBLIC_FORMAT_XML'5);
/**
 * OpenSSH formatted public key
 *
 * Place in $HOME/.ssh/authorized_keys
 */
define('CRYPT_RSA_PUBLIC_FORMAT_OPENSSH'6);
/**
 * PKCS#1 formatted public key (encapsulated)
 *
 * Used by PHP's openssl_public_encrypt() and openssl's rsautl (when -pubin is set)
 *
 * Has the following header:
 *
 * -----BEGIN PUBLIC KEY-----
 *
 * Analogous to ssh-keygen's pkcs8 format (as specified by -m). Although PKCS8
 * is specific to private keys it's basically creating a DER-encoded wrapper
 * for keys. This just extends that same concept to public keys (much like ssh-keygen)
 */
define('CRYPT_RSA_PUBLIC_FORMAT_PKCS8'7);
/**#@-*/

/**
 * Pure-PHP PKCS#1 compliant implementation of RSA.
 *
 * @package Crypt_RSA
 * @author  Jim Wigginton <terrafrost@php.net>
 * @access  public
 */
class Crypt_RSA
{
    
/**
     * Precomputed Zero
     *
     * @var Array
     * @access private
     */
    
var $zero;

    
/**
     * Precomputed One
     *
     * @var Array
     * @access private
     */
    
var $one;

    
/**
     * Private Key Format
     *
     * @var Integer
     * @access private
     */
    
var $privateKeyFormat CRYPT_RSA_PRIVATE_FORMAT_PKCS1;

    
/**
     * Public Key Format
     *
     * @var Integer
     * @access public
     */
    
var $publicKeyFormat CRYPT_RSA_PUBLIC_FORMAT_PKCS8;

    
/**
     * Modulus (ie. n)
     *
     * @var Math_BigInteger
     * @access private
     */
    
var $modulus;

    
/**
     * Modulus length
     *
     * @var Math_BigInteger
     * @access private
     */
    
var $k;

    
/**
     * Exponent (ie. e or d)
     *
     * @var Math_BigInteger
     * @access private
     */
    
var $exponent;

    
/**
     * Primes for Chinese Remainder Theorem (ie. p and q)
     *
     * @var Array
     * @access private
     */
    
var $primes;

    
/**
     * Exponents for Chinese Remainder Theorem (ie. dP and dQ)
     *
     * @var Array
     * @access private
     */
    
var $exponents;

    
/**
     * Coefficients for Chinese Remainder Theorem (ie. qInv)
     *
     * @var Array
     * @access private
     */
    
var $coefficients;

    
/**
     * Hash name
     *
     * @var String
     * @access private
     */
    
var $hashName;

    
/**
     * Hash function
     *
     * @var Crypt_Hash
     * @access private
     */
    
var $hash;

    
/**
     * Length of hash function output
     *
     * @var Integer
     * @access private
     */
    
var $hLen;

    
/**
     * Length of salt
     *
     * @var Integer
     * @access private
     */
    
var $sLen;

    
/**
     * Hash function for the Mask Generation Function
     *
     * @var Crypt_Hash
     * @access private
     */
    
var $mgfHash;

    
/**
     * Length of MGF hash function output
     *
     * @var Integer
     * @access private
     */
    
var $mgfHLen;

    
/**
     * Encryption mode
     *
     * @var Integer
     * @access private
     */
    
var $encryptionMode CRYPT_RSA_ENCRYPTION_OAEP;

    
/**
     * Signature mode
     *
     * @var Integer
     * @access private
     */
    
var $signatureMode CRYPT_RSA_SIGNATURE_PSS;

    
/**
     * Public Exponent
     *
     * @var Mixed
     * @access private
     */
    
var $publicExponent false;

    
/**
     * Password
     *
     * @var String
     * @access private
     */
    
var $password false;

    
/**
     * Components
     *
     * For use with parsing XML formatted keys.  PHP's XML Parser functions use utilized - instead of PHP's DOM functions -
     * because PHP's XML Parser functions work on PHP4 whereas PHP's DOM functions - although surperior - don't.
     *
     * @see Crypt_RSA::_start_element_handler()
     * @var Array
     * @access private
     */
    
var $components = array();

    
/**
     * Current String
     *
     * For use with parsing XML formatted keys.
     *
     * @see Crypt_RSA::_character_handler()
     * @see Crypt_RSA::_stop_element_handler()
     * @var Mixed
     * @access private
     */
    
var $current;

    
/**
     * OpenSSL configuration file name.
     *
     * Set to null to use system configuration file.
     * @see Crypt_RSA::createKey()
     * @var Mixed
     * @Access public
     */
    
var $configFile;

    
/**
     * Public key comment field.
     *
     * @var String
     * @access private
     */
    
var $comment 'phpseclib-generated-key';

    
/**
     * The constructor
     *
     * If you want to make use of the openssl extension, you'll need to set the mode manually, yourself.  The reason
     * Crypt_RSA doesn't do it is because OpenSSL doesn't fail gracefully.  openssl_pkey_new(), in particular, requires
     * openssl.cnf be present somewhere and, unfortunately, the only real way to find out is too late.
     *
     * @return Crypt_RSA
     * @access public
     */
    
function Crypt_RSA()
    {
        if (!
class_exists('Math_BigInteger')) {
            include_once 
'Math/BigInteger.php';
        }

        
$this->configFile CRYPT_RSA_OPENSSL_CONFIG;

        if (!
defined('CRYPT_RSA_MODE')) {
            switch (
true) {
                
// Math/BigInteger's openssl requirements are a little less stringent than Crypt/RSA's. in particular,
                // Math/BigInteger doesn't require an openssl.cfg file whereas Crypt/RSA does. so if Math/BigInteger
                // can't use OpenSSL it can be pretty trivially assumed, then, that Crypt/RSA can't either.
                
case defined('MATH_BIGINTEGER_OPENSSL_DISABLE'):
                    
define('CRYPT_RSA_MODE'CRYPT_RSA_MODE_INTERNAL);
                    break;
                
// openssl_pkey_get_details - which is used in the only place Crypt/RSA.php uses OpenSSL - was introduced in PHP 5.2.0
                
case !function_exists('openssl_pkey_get_details'):
                    
define('CRYPT_RSA_MODE'CRYPT_RSA_MODE_INTERNAL);
                    break;
                case 
extension_loaded('openssl') && version_compare(PHP_VERSION'4.2.0''>=') && file_exists($this->configFile):
                    
// some versions of XAMPP have mismatched versions of OpenSSL which causes it not to work
                    
ob_start();
                    @
phpinfo();
                    
$content ob_get_contents();
                    
ob_end_clean();

                    
preg_match_all('#OpenSSL (Header|Library) Version(.*)#im'$content$matches);

                    
$versions = array();
                    if (!empty(
$matches[1])) {
                        for (
$i 0$i count($matches[1]); $i++) {
                            
$fullVersion trim(str_replace('=>'''strip_tags($matches[2][$i])));

                            
// Remove letter part in OpenSSL version
                            
if (!preg_match('/(d+.d+.d+)/i'$fullVersion$m)) {
                                
$versions[$matches[1][$i]] = $fullVersion;
                            } else {
                                
$versions[$matches[1][$i]] = $m[0];
                            }
                        }
                    }

                    
// it doesn't appear that OpenSSL versions were reported upon until PHP 5.3+
                    
switch (true) {
                        case !isset(
$versions['Header']):
                        case !isset(
$versions['Library']):
                        case 
$versions['Header'] == $versions['Library']:
                            
define('CRYPT_RSA_MODE'CRYPT_RSA_MODE_OPENSSL);
                            break;
                        default:
                            
define('CRYPT_RSA_MODE'CRYPT_RSA_MODE_INTERNAL);
                            
define('MATH_BIGINTEGER_OPENSSL_DISABLE'true);
                    }
                    break;
                default:
                    
define('CRYPT_RSA_MODE'CRYPT_RSA_MODE_INTERNAL);
            }
        }

        
$this->zero = new Math_BigInteger();
        
$this->one = new Math_BigInteger(1);

        
$this->hash = new Crypt_Hash('sha1');
        
$this->hLen $this->hash->getLength();
        
$this->hashName 'sha1';
        
$this->mgfHash = new Crypt_Hash('sha1');
        
$this->mgfHLen $this->mgfHash->getLength();
    }

    
/**
     * Create public / private key pair
     *
     * Returns an array with the following three elements:
     *  - 'privatekey': The private key.
     *  - 'publickey':  The public key.
     *  - 'partialkey': A partially computed key (if the execution time exceeded $timeout).
     *                  Will need to be passed back to Crypt_RSA::createKey() as the third parameter for further processing.
     *
     * @access public
     * @param optional Integer $bits
     * @param optional Integer $timeout
     * @param optional Math_BigInteger $p
     */
    
function createKey($bits 1024$timeout false$partial = array())
    {
        if (!
defined('CRYPT_RSA_EXPONENT')) {
            
// http://en.wikipedia.org/wiki/65537_%28number%29
            
define('CRYPT_RSA_EXPONENT''65537');
        }
        
// per <http://cseweb.ucsd.edu/~hovav/dist/survey.pdf#page=5>, this number ought not result in primes smaller
        // than 256 bits. as a consequence if the key you're trying to create is 1024 bits and you've set CRYPT_RSA_SMALLEST_PRIME
        // to 384 bits then you're going to get a 384 bit prime and a 640 bit prime (384 + 1024 % 384). at least if
        // CRYPT_RSA_MODE is set to CRYPT_RSA_MODE_INTERNAL. if CRYPT_RSA_MODE is set to CRYPT_RSA_MODE_OPENSSL then
        // CRYPT_RSA_SMALLEST_PRIME is ignored (ie. multi-prime RSA support is more intended as a way to speed up RSA key
        // generation when there's a chance neither gmp nor OpenSSL are installed)
        
if (!defined('CRYPT_RSA_SMALLEST_PRIME')) {
            
define('CRYPT_RSA_SMALLEST_PRIME'4096);
        }

        
// OpenSSL uses 65537 as the exponent and requires RSA keys be 384 bits minimum
        
if (CRYPT_RSA_MODE == CRYPT_RSA_MODE_OPENSSL && $bits >= 384 && CRYPT_RSA_EXPONENT == 65537) {
            
$config = array();
            if (isset(
$this->configFile)) {
                
$config['config'] = $this->configFile;
            }
            
$rsa openssl_pkey_new(array('private_key_bits' => $bits) + $config);
            
openssl_pkey_export($rsa$privatekeynull$config);
            
$publickey openssl_pkey_get_details($rsa);
            
$publickey $publickey['key'];

            
$privatekey call_user_func_array(array($this'_convertPrivateKey'), array_values($this->_parseKey($privatekeyCRYPT_RSA_PRIVATE_FORMAT_PKCS1)));
            
$publickey call_user_func_array(array($this'_convertPublicKey'), array_values($this->_parseKey($publickeyCRYPT_RSA_PUBLIC_FORMAT_PKCS1)));

            
// clear the buffer of error strings stemming from a minimalistic openssl.cnf
            
while (openssl_error_string() !== false) {
            }

            return array(
                
'privatekey' => $privatekey,
                
'publickey' => $publickey,
                
'partialkey' => false
            
);
        }

        static 
$e;
        if (!isset(
$e)) {
            
$e = new Math_BigInteger(CRYPT_RSA_EXPONENT);
        }

        
extract($this->_generateMinMax($bits));
        
$absoluteMin $min;
        
$temp $bits >> 1// divide by two to see how many bits P and Q would be
        
if ($temp CRYPT_RSA_SMALLEST_PRIME) {
            
$num_primes floor($bits CRYPT_RSA_SMALLEST_PRIME);
            
$temp CRYPT_RSA_SMALLEST_PRIME;
        } else {
            
$num_primes 2;
        }
        
extract($this->_generateMinMax($temp $bits $temp));
        
$finalMax $max;
        
extract($this->_generateMinMax($temp));

        
$generator = new Math_BigInteger();

        
$n $this->one->copy();
        if (!empty(
$partial)) {
            
extract(unserialize($partial));
        } else {
            
$exponents $coefficients $primes = array();
            
$lcm = array(
                
'top' => $this->one->copy(),
                
'bottom' => false
            
);
        }

        
$start time();
        
$i0 count($primes) + 1;

        do {
            for (
$i $i0$i <= $num_primes$i++) {
                if (
$timeout !== false) {
                    
$timeout-= time() - $start;
                    
$start time();
                    if (
$timeout <= 0) {
                        return array(
                            
'privatekey' => '',
                            
'publickey'  => '',
                            
'partialkey' => serialize(array(
                                
'primes' => $primes,
                                
'coefficients' => $coefficients,
                                
'lcm' => $lcm,
                                
'exponents' => $exponents
                            
))
                        );
                    }
                }

                if (
$i == $num_primes) {
                    list(
$min$temp) = $absoluteMin->divide($n);
                    if (!
$temp->equals($this->zero)) {
                        
$min $min->add($this->one); // ie. ceil()
                    
}
                    
$primes[$i] = $generator->randomPrime($min$finalMax$timeout);
                } else {
                    
$primes[$i] = $generator->randomPrime($min$max$timeout);
                }

                if (
$primes[$i] === false) { // if we've reached the timeout
                    
if (count($primes) > 1) {
                        
$partialkey '';
                    } else {
                        
array_pop($primes);
                        
$partialkey serialize(array(
                            
'primes' => $primes,
                            
'coefficients' => $coefficients,
                            
'lcm' => $lcm,
                            
'exponents' => $exponents
                        
));
                    }

                    return array(
                        
'privatekey' => '',
                        
'publickey'  => '',
                        
'partialkey' => $partialkey
                    
);
                }

                
// the first coefficient is calculated differently from the rest
                // ie. instead of being $primes[1]->modInverse($primes[2]), it's $primes[2]->modInverse($primes[1])
                
if ($i 2) {
                    
$coefficients[$i] = $n->modInverse($primes[$i]);
                }

                
$n $n->multiply($primes[$i]);

                
$temp $primes[$i]->subtract($this->one);

                
// textbook RSA implementations use Euler's totient function instead of the least common multiple.
                // see http://en.wikipedia.org/wiki/Euler%27s_totient_function
                
$lcm['top'] = $lcm['top']->multiply($temp);
                
$lcm['bottom'] = $lcm['bottom'] === false $temp $lcm['bottom']->gcd($temp);

                
$exponents[$i] = $e->modInverse($temp);
            }

            list(
$temp) = $lcm['top']->divide($lcm['bottom']);
            
$gcd $temp->gcd($e);
            
$i0 1;
        } while (!
$gcd->equals($this->one));

        
$d $e->modInverse($temp);

        
$coefficients[2] = $primes[2]->modInverse($primes[1]);

        
// from <http://tools.ietf.org/html/rfc3447#appendix-A.1.2>:
        // RSAPrivateKey ::= SEQUENCE {
        //     version           Version,
        //     modulus           INTEGER,  -- n
        //     publicExponent    INTEGER,  -- e
        //     privateExponent   INTEGER,  -- d
        //     prime1            INTEGER,  -- p
        //     prime2            INTEGER,  -- q
        //     exponent1         INTEGER,  -- d mod (p-1)
        //     exponent2         INTEGER,  -- d mod (q-1)
        //     coefficient       INTEGER,  -- (inverse of q) mod p
        //     otherPrimeInfos   OtherPrimeInfos OPTIONAL
        // }

        
return array(
            
'privatekey' => $this->_convertPrivateKey($n$e$d$primes$exponents$coefficients),
            
'publickey'  => $this->_convertPublicKey($n$e),
            
'partialkey' => false
        
);
    }

    
/**
     * Convert a private key to the appropriate format.
     *
     * @access private
     * @see setPrivateKeyFormat()
     * @param String $RSAPrivateKey
     * @return String
     */
    
function _convertPrivateKey($n$e$d$primes$exponents$coefficients)
    {
        
$signed $this->privateKeyFormat != CRYPT_RSA_PRIVATE_FORMAT_XML;
        
$num_primes count($primes);
        
$raw = array(
            
'version' => $num_primes == chr(0) : chr(1), // two-prime vs. multi
            
'modulus' => $n->toBytes($signed),
            
'publicExponent' => $e->toBytes($signed),
            
'privateExponent' => $d->toBytes($signed),
            
'prime1' => $primes[1]->toBytes($signed),
            
'prime2' => $primes[2]->toBytes($signed),
            
'exponent1' => $exponents[1]->toBytes($signed),
            
'exponent2' => $exponents[2]->toBytes($signed),
            
'coefficient' => $coefficients[2]->toBytes($signed)
        );

        
// if the format in question does not support multi-prime rsa and multi-prime rsa was used,
        // call _convertPublicKey() instead.
        
switch ($this->privateKeyFormat) {
            case 
CRYPT_RSA_PRIVATE_FORMAT_XML:
                if (
$num_primes != 2) {
                    return 
false;
                }
                return 
"<RSAKeyValue>rn" .
                       
'  <Modulus>' base64_encode($raw['modulus']) . "</Modulus>rn" .
                       
'  <Exponent>' base64_encode($raw['publicExponent']) . "</Exponent>rn" .
                       
'  <P>' base64_encode($raw['prime1']) . "</P>rn" .
                       
'  <Q>' base64_encode($raw['prime2']) . "</Q>rn" .
                       
'  <DP>' base64_encode($raw['exponent1']) . "</DP>rn" .
                       
'  <DQ>' base64_encode($raw['exponent2']) . "</DQ>rn" .
                       
'  <InverseQ>' base64_encode($raw['coefficient']) . "</InverseQ>rn" .
                       
'  <D>' base64_encode($raw['privateExponent']) . "</D>rn" .
                       
'</RSAKeyValue>';
                break;
            case 
CRYPT_RSA_PRIVATE_FORMAT_PUTTY:
                if (
$num_primes != 2) {
                    return 
false;
                }
                
$key "PuTTY-User-Key-File-2: ssh-rsarnEncryption: ";
                
$encryption = (!empty($this->password) || is_string($this->password)) ? 'aes256-cbc' 'none';
                
$key.= $encryption;
                
$key.= "rnComment: " $this->comment "rn";
                
$public pack(
                    
'Na*Na*Na*',
                    
strlen('ssh-rsa'),
                    
'ssh-rsa',
                    
strlen($raw['publicExponent']),
                    
$raw['publicExponent'],
                    
strlen($raw['modulus']),
                    
$raw['modulus']
                );
                
$source pack(
                    
'Na*Na*Na*Na*',
                    
strlen('ssh-rsa'),
                    
'ssh-rsa',
                    
strlen($encryption),
                    
$encryption,
                    
strlen($this->comment),
                    
$this->comment,
                    
strlen($public),
                    
$public
                
);
                
$public base64_encode($public);
                
$key.= "Public-Lines: " . ((strlen($public) + 63) >> 6) . "rn";
                
$key.= chunk_split($public64);
                
$private pack(
                    
'Na*Na*Na*Na*',
                    
strlen($raw['privateExponent']),
                    
$raw['privateExponent'],
                    
strlen($raw['prime1']),
                    
$raw['prime1'],
                    
strlen($raw['prime2']),
                    
$raw['prime2'],
                    
strlen($raw['coefficient']),
                    
$raw['coefficient']
                );
                if (empty(
$this->password) && !is_string($this->password)) {
                    
$source.= pack('Na*'strlen($private), $private);
                    
$hashkey 'putty-private-key-file-mac-key';
                } else {
                    
$private.= crypt_random_string(16 - (strlen($private) & 15));
                    
$source.= pack('Na*'strlen($private), $private);
                    if (!
class_exists('Crypt_AES')) {
                        include_once 
'Crypt/AES.php';
                    }
                    
$sequence 0;
                    
$symkey '';
                    while (
strlen($symkey) < 32) {
                        
$temp pack('Na*'$sequence++, $this->password);
                        
$symkey.= pack('H*'sha1($temp));
                    }
                    
$symkey substr($symkey032);
                    
$crypto = new Crypt_AES();

                    
$crypto->setKey($symkey);
                    
$crypto->disablePadding();
                    
$private $crypto->encrypt($private);
                    
$hashkey 'putty-private-key-file-mac-key' $this->password;
                }

                
$private base64_encode($private);
                
$key.= 'Private-Lines: ' . ((strlen($private) + 63) >> 6) . "rn";
                
$key.= chunk_split($private64);
                if (!
class_exists('Crypt_Hash')) {
                    include_once 
'Crypt/Hash.php';
                }
                
$hash = new Crypt_Hash('sha1');
                
$hash->setKey(pack('H*'sha1($hashkey)));
                
$key.= 'Private-MAC: ' bin2hex($hash->hash($source)) . "rn";

                return 
$key;
            default: 
// eg. CRYPT_RSA_PRIVATE_FORMAT_PKCS1
                
$components = array();
                foreach (
$raw as $name => $value) {
                    
$components[$name] = pack('Ca*a*'CRYPT_RSA_ASN1_INTEGER$this->_encodeLength(strlen($value)), $value);
                }

                
$RSAPrivateKey implode(''$components);

                if (
$num_primes 2) {
                    
$OtherPrimeInfos '';
                    for (
$i 3$i <= $num_primes$i++) {
                        
// OtherPrimeInfos ::= SEQUENCE SIZE(1..MAX) OF OtherPrimeInfo
                        //
                        // OtherPrimeInfo ::= SEQUENCE {
                        //     prime             INTEGER,  -- ri
                        //     exponent          INTEGER,  -- di
                        //     coefficient       INTEGER   -- ti
                        // }
                        
$OtherPrimeInfo pack('Ca*a*'CRYPT_RSA_ASN1_INTEGER$this->_encodeLength(strlen($primes[$i]->toBytes(true))), $primes[$i]->toBytes(true));
                        
$OtherPrimeInfo.= pack('Ca*a*'CRYPT_RSA_ASN1_INTEGER$this->_encodeLength(strlen($exponents[$i]->toBytes(true))), $exponents[$i]->toBytes(true));
                        
$OtherPrimeInfo.= pack('Ca*a*'CRYPT_RSA_ASN1_INTEGER$this->_encodeLength(strlen($coefficients[$i]->toBytes(true))), $coefficients[$i]->toBytes(true));
                        
$OtherPrimeInfos.= pack('Ca*a*'CRYPT_RSA_ASN1_SEQUENCE$this->_encodeLength(strlen($OtherPrimeInfo)), $OtherPrimeInfo);
                    }
                    
$RSAPrivateKey.= pack('Ca*a*'CRYPT_RSA_ASN1_SEQUENCE$this->_encodeLength(strlen($OtherPrimeInfos)), $OtherPrimeInfos);
                }

                
$RSAPrivateKey pack('Ca*a*'CRYPT_RSA_ASN1_SEQUENCE$this->_encodeLength(strlen($RSAPrivateKey)), $RSAPrivateKey);

                if (
$this->privateKeyFormat == CRYPT_RSA_PRIVATE_FORMAT_PKCS8) {
                    
$rsaOID pack('H*''300d06092a864886f70d0101010500'); // hex version of MA0GCSqGSIb3DQEBAQUA
                    
$RSAPrivateKey pack(
                        
'Ca*a*Ca*a*',
                        
CRYPT_RSA_ASN1_INTEGER,
                        
"10",
                        
$rsaOID,
                        
4,
                        
$this->_encodeLength(strlen($RSAPrivateKey)),
                        
$RSAPrivateKey
                    
);
                    
$RSAPrivateKey pack('Ca*a*'CRYPT_RSA_ASN1_SEQUENCE$this->_encodeLength(strlen($RSAPrivateKey)), $RSAPrivateKey);
                    if (!empty(
$this->password) || is_string($this->password)) {
                        
$salt crypt_random_string(8);
                        
$iterationCount 2048;

                        if (!
class_exists('Crypt_DES')) {
                            include_once 
'Crypt/DES.php';
                        }
                        
$crypto = new Crypt_DES();
                        
$crypto->setPassword($this->password'pbkdf1''md5'$salt$iterationCount);
                        
$RSAPrivateKey $crypto->encrypt($RSAPrivateKey);

                        
$parameters pack(
                            
'Ca*a*Ca*N',
                            
CRYPT_RSA_ASN1_OCTETSTRING,
                            
$this->_encodeLength(strlen($salt)),
                            
$salt,
                            
CRYPT_RSA_ASN1_INTEGER,
                            
$this->_encodeLength(4),
                            
$iterationCount
                        
);
                        
$pbeWithMD5AndDES_CBC "x2ax86x48x86xf7x0dx01x05x03";

                        
$encryptionAlgorithm pack(
                            
'Ca*a*Ca*a*',
                            
CRYPT_RSA_ASN1_OBJECT,
                            
$this->_encodeLength(strlen($pbeWithMD5AndDES_CBC)),
                            
$pbeWithMD5AndDES_CBC,
                            
CRYPT_RSA_ASN1_SEQUENCE,
                            
$this->_encodeLength(strlen($parameters)),
                            
$parameters
                        
);

                        
$RSAPrivateKey pack(
                            
'Ca*a*Ca*a*',
                            
CRYPT_RSA_ASN1_SEQUENCE,
                            
$this->_encodeLength(strlen($encryptionAlgorithm)),
                            
$encryptionAlgorithm,
                            
CRYPT_RSA_ASN1_OCTETSTRING,
                            
$this->_encodeLength(strlen($RSAPrivateKey)),
                            
$RSAPrivateKey
                        
);

                        
$RSAPrivateKey pack('Ca*a*'CRYPT_RSA_ASN1_SEQUENCE$this->_encodeLength(strlen($RSAPrivateKey)), $RSAPrivateKey);

                        
$RSAPrivateKey "-----BEGIN ENCRYPTED PRIVATE KEY-----rn" .
                                         
chunk_split(base64_encode($RSAPrivateKey), 64) .
                                         
'-----END ENCRYPTED PRIVATE KEY-----';
                    } else {
                        
$RSAPrivateKey "-----BEGIN PRIVATE KEY-----rn" .
                                         
chunk_split(base64_encode($RSAPrivateKey), 64) .
                                         
'-----END PRIVATE KEY-----';
                    }
                    return 
$RSAPrivateKey;
                }

                if (!empty(
$this->password) || is_string($this->password)) {
                    
$iv crypt_random_string(8);
                    
$symkey pack('H*'md5($this->password $iv)); // symkey is short for symmetric key
                    
$symkey.= substr(pack('H*'md5($symkey $this->password $iv)), 08);
                    if (!
class_exists('Crypt_TripleDES')) {
                        include_once 
'Crypt/TripleDES.php';
                    }
                    
$des = new Crypt_TripleDES();
                    
$des->setKey($symkey);
                    
$des->setIV($iv);
                    
$iv strtoupper(bin2hex($iv));
                    
$RSAPrivateKey "-----BEGIN RSA PRIVATE KEY-----rn" .
                                     
"Proc-Type: 4,ENCRYPTEDrn" .
                                     
"DEK-Info: DES-EDE3-CBC,$ivrn.
                                     
"rn" .
                                     
chunk_split(base64_encode($des->encrypt($RSAPrivateKey)), 64) .
                                     
'-----END RSA PRIVATE KEY-----';
                } else {
                    
$RSAPrivateKey "-----BEGIN RSA PRIVATE KEY-----rn" .
                                     
chunk_split(base64_encode($RSAPrivateKey), 64) .
                                     
'-----END RSA PRIVATE KEY-----';
                }

                return 
$RSAPrivateKey;
        }
    }

    
/**
     * Convert a public key to the appropriate format
     *
     * @access private
     * @see setPublicKeyFormat()
     * @param String $RSAPrivateKey
     * @return String
     */
    
function _convertPublicKey($n$e)
    {
        
$signed $this->publicKeyFormat != CRYPT_RSA_PUBLIC_FORMAT_XML;

        
$modulus $n->toBytes($signed);
        
$publicExponent $e->toBytes($signed);

        switch (
$this->publicKeyFormat) {
            case 
CRYPT_RSA_PUBLIC_FORMAT_RAW:
                return array(
'e' => $e->copy(), 'n' => $n->copy());
            case 
CRYPT_RSA_PUBLIC_FORMAT_XML:
                return 
"<RSAKeyValue>rn" .
                       
'  <Modulus>' base64_encode($modulus) . "</Modulus>rn" .
                       
'  <Exponent>' base64_encode($publicExponent) . "</Exponent>rn" .
                       
'</RSAKeyValue>';
                break;
            case 
CRYPT_RSA_PUBLIC_FORMAT_OPENSSH:
                
// from <http://tools.ietf.org/html/rfc4253#page-15>:
                // string    "ssh-rsa"
                // mpint     e
                // mpint     n
                
$RSAPublicKey pack('Na*Na*Na*'strlen('ssh-rsa'), 'ssh-rsa'strlen($publicExponent), $publicExponentstrlen($modulus), $modulus);
                
$RSAPublicKey 'ssh-rsa ' base64_encode($RSAPublicKey) . ' ' $this->comment;

                return 
$RSAPublicKey;
            default: 
// eg. CRYPT_RSA_PUBLIC_FORMAT_PKCS1_RAW or CRYPT_RSA_PUBLIC_FORMAT_PKCS1
                // from <http://tools.ietf.org/html/rfc3447#appendix-A.1.1>:
                // RSAPublicKey ::= SEQUENCE {
                //     modulus           INTEGER,  -- n
                //     publicExponent    INTEGER   -- e
                // }
                
$components = array(
                    
'modulus' => pack('Ca*a*'CRYPT_RSA_ASN1_INTEGER$this->_encodeLength(strlen($modulus)), $modulus),
                    
'publicExponent' => pack('Ca*a*'CRYPT_RSA_ASN1_INTEGER$this->_encodeLength(strlen($publicExponent)), $publicExponent)
                );

                
$RSAPublicKey pack(
                    
'Ca*a*a*',
                    
CRYPT_RSA_ASN1_SEQUENCE,
                    
$this->_encodeLength(strlen($components['modulus']) + strlen($components['publicExponent'])),
                    
$components['modulus'],
                    
$components['publicExponent']
                );

                if (
$this->publicKeyFormat == CRYPT_RSA_PUBLIC_FORMAT_PKCS1_RAW) {
                    
$RSAPublicKey "-----BEGIN RSA PUBLIC KEY-----rn" .
                                    
chunk_split(base64_encode($RSAPublicKey), 64) .
                                    
'-----END RSA PUBLIC KEY-----';
                } else {
                    
// sequence(oid(1.2.840.113549.1.1.1), null)) = rsaEncryption.
                    
$rsaOID pack('H*''300d06092a864886f70d0101010500'); // hex version of MA0GCSqGSIb3DQEBAQUA
                    
$RSAPublicKey chr(0) . $RSAPublicKey;
                    
$RSAPublicKey chr(3) . $this->_encodeLength(strlen($RSAPublicKey)) . $RSAPublicKey;

                    
$RSAPublicKey pack(
                        
'Ca*a*',
                        
CRYPT_RSA_ASN1_SEQUENCE,
                        
$this->_encodeLength(strlen($rsaOID $RSAPublicKey)),
                        
$rsaOID $RSAPublicKey
                    
);

                    
$RSAPublicKey "-----BEGIN PUBLIC KEY-----rn" .
                                     
chunk_split(base64_encode($RSAPublicKey), 64) .
                                     
'-----END PUBLIC KEY-----';
                }

                return 
$RSAPublicKey;
        }
    }

    
/**
     * Break a public or private key down into its constituant components
     *
     * @access private
     * @see _convertPublicKey()
     * @see _convertPrivateKey()
     * @param String $key
     * @param Integer $type
     * @return Array
     */
    
function _parseKey($key$type)
    {
        if (
$type != CRYPT_RSA_PUBLIC_FORMAT_RAW && !is_string($key)) {
            return 
false;
        }

        switch (
$type) {
            case 
CRYPT_RSA_PUBLIC_FORMAT_RAW:
                if (!
is_array($key)) {
                    return 
false;
                }
                
$components = array();
                switch (
true) {
                    case isset(
$key['e']):
                        
$components['publicExponent'] = $key['e']->copy();
                        break;
                    case isset(
$key['exponent']):
                        
$components['publicExponent'] = $key['exponent']->copy();
                        break;
                    case isset(
$key['publicExponent']):
                        
$components['publicExponent'] = $key['publicExponent']->copy();
                        break;
                    case isset(
$key[0]):
                        
$components['publicExponent'] = $key[0]->copy();
                }
                switch (
true) {
                    case isset(
$key['n']):
                        
$components['modulus'] = $key['n']->copy();
                        break;
                    case isset(
$key['modulo']):
                        
$components['modulus'] = $key['modulo']->copy();
                        break;
                    case isset(
$key['modulus']):
                        
$components['modulus'] = $key['modulus']->copy();
                        break;
                    case isset(
$key[1]):
                        
$components['modulus'] = $key[1]->copy();
                }
                return isset(
$components['modulus']) && isset($components['publicExponent']) ? $components false;
            case 
CRYPT_RSA_PRIVATE_FORMAT_PKCS1:
            case 
CRYPT_RSA_PRIVATE_FORMAT_PKCS8:
            case 
CRYPT_RSA_PUBLIC_FORMAT_PKCS1:
                
/* Although PKCS#1 proposes a format that public and private keys can use, encrypting them is
                   "outside the scope" of PKCS#1.  PKCS#1 then refers you to PKCS#12 and PKCS#15 if you're wanting to
                   protect private keys, however, that's not what OpenSSL* does.  OpenSSL protects private keys by adding
                   two new "fields" to the key - DEK-Info and Proc-Type.  These fields are discussed here:

                   http://tools.ietf.org/html/rfc1421#section-4.6.1.1
                   http://tools.ietf.org/html/rfc1421#section-4.6.1.3

                   DES-EDE3-CBC as an algorithm, however, is not discussed anywhere, near as I can tell.
                   DES-CBC and DES-EDE are discussed in RFC1423, however, DES-EDE3-CBC isn't, nor is its key derivation
                   function.  As is, the definitive authority on this encoding scheme isn't the IETF but rather OpenSSL's
                   own implementation.  ie. the implementation *is* the standard and any bugs that may exist in that
                   implementation are part of the standard, as well.

                   * OpenSSL is the de facto standard.  It's utilized by OpenSSH and other projects */
                
if (preg_match('#DEK-Info: (.+),(.+)#'$key$matches)) {
                    
$iv pack('H*'trim($matches[2]));
                    
$symkey pack('H*'md5($this->password substr($iv08))); // symkey is short for symmetric key
                    
$symkey.= pack('H*'md5($symkey $this->password substr($iv08)));
                    
// remove the Proc-Type / DEK-Info sections as they're no longer needed
                    
$key preg_replace('#^(?:Proc-Type|DEK-Info): .*#m'''$key);
                    
$ciphertext $this->_extractBER($key);
                    if (
$ciphertext === false) {
                        
$ciphertext $key;
                    }
                    switch (
$matches[1]) {
                        case 
'AES-256-CBC':
                            if (!
class_exists('Crypt_AES')) {
                                include_once 
'Crypt/AES.php';
                            }
                            
$crypto = new Crypt_AES();
                            break;
                        case 
'AES-128-CBC':
                            if (!
class_exists('Crypt_AES')) {
                                include_once 
'Crypt/AES.php';
                            }
                            
$symkey substr($symkey016);
                            
$crypto = new Crypt_AES();
                            break;
                        case 
'DES-EDE3-CFB':
                            if (!
class_exists('Crypt_TripleDES')) {
                                include_once 
'Crypt/TripleDES.php';
                            }
                            
$crypto = new Crypt_TripleDES(CRYPT_DES_MODE_CFB);
                            break;
                        case 
'DES-EDE3-CBC':
                            if (!
class_exists('Crypt_TripleDES')) {
                                include_once 
'Crypt/TripleDES.php';
                            }
                            
$symkey substr($symkey024);
                            
$crypto = new Crypt_TripleDES();
                            break;
                        case 
'DES-CBC':
                            if (!
class_exists('Crypt_DES')) {
                                include_once 
'Crypt/DES.php';
                            }
                            
$crypto = new Crypt_DES();
                            break;
                        default:
                            return 
false;
                    }
                    
$crypto->setKey($symkey);
                    
$crypto->setIV($iv);
                    
$decoded $crypto->decrypt($ciphertext);
                } else {
                    
$decoded $this->_extractBER($key);
                }

                if (
$decoded !== false) {
                    
$key $decoded;
                }

                
$components = array();

                if (
ord($this->_string_shift($key)) != CRYPT_RSA_ASN1_SEQUENCE) {
                    return 
false;
                }
                if (
$this->_decodeLength($key) != strlen($key)) {
                    return 
false;
                }

                
$tag ord($this->_string_shift($key));
                
/* intended for keys for which OpenSSL's asn1parse returns the following:

                    0:d=0  hl=4 l= 631 cons: SEQUENCE
                    4:d=1  hl=2 l=   1 prim:  INTEGER           :00
                    7:d=1  hl=2 l=  13 cons:  SEQUENCE
                    9:d=2  hl=2 l=   9 prim:   OBJECT            :rsaEncryption
                   20:d=2  hl=2 l=   0 prim:   NULL
                   22:d=1  hl=4 l= 609 prim:  OCTET STRING

                   ie. PKCS8 keys*/

                
if ($tag == CRYPT_RSA_ASN1_INTEGER && substr($key03) == "x01x00x30") {
                    
$this->_string_shift($key3);
                    
$tag CRYPT_RSA_ASN1_SEQUENCE;
                }

                if (
$tag == CRYPT_RSA_ASN1_SEQUENCE) {
                    
$temp $this->_string_shift($key$this->_decodeLength($key));
                    if (
ord($this->_string_shift($temp)) != CRYPT_RSA_ASN1_OBJECT) {
                        return 
false;
                    }
                    
$length $this->_decodeLength($temp);
                    switch (
$this->_string_shift($temp$length)) {
                        case 
"x2ax86x48x86xf7x0dx01x01x01"// rsaEncryption
                            
break;
                        case 
"x2ax86x48x86xf7x0dx01x05x03"// pbeWithMD5AndDES-CBC
                            /*
                               PBEParameter ::= SEQUENCE {
                                   salt OCTET STRING (SIZE(8)),
                                   iterationCount INTEGER }
                            */
                            
if (ord($this->_string_shift($temp)) != CRYPT_RSA_ASN1_SEQUENCE) {
                                return 
false;
                            }
                            if (
$this->_decodeLength($temp) != strlen($temp)) {
                                return 
false;
                            }
                            
$this->_string_shift($temp); // assume it's an octet string
                            
$salt $this->_string_shift($temp$this->_decodeLength($temp));
                            if (
ord($this->_string_shift($temp)) != CRYPT_RSA_ASN1_INTEGER) {
                                return 
false;
                            }
                            
$this->_decodeLength($temp);
                            list(, 
$iterationCount) = unpack('N'str_pad($temp4chr(0), STR_PAD_LEFT));
                            
$this->_string_shift($key); // assume it's an octet string
                            
$length $this->_decodeLength($key);
                            if (
strlen($key) != $length) {
                                return 
false;
                            }

                            if (!
class_exists('Crypt_DES')) {
                                include_once 
'Crypt/DES.php';
                            }
                            
$crypto = new Crypt_DES();
                            
$crypto->setPassword($this->password'pbkdf1''md5'$salt$iterationCount);
                            
$key $crypto->decrypt($key);
                            if (
$key === false) {
                                return 
false;
                            }
                            return 
$this->_parseKey($keyCRYPT_RSA_PRIVATE_FORMAT_PKCS1);
                        default:
                            return 
false;
                    }
                    
/* intended for keys for which OpenSSL's asn1parse returns the following:

                        0:d=0  hl=4 l= 290 cons: SEQUENCE
                        4:d=1  hl=2 l=  13 cons:  SEQUENCE
                        6:d=2  hl=2 l=   9 prim:   OBJECT            :rsaEncryption
                       17:d=2  hl=2 l=   0 prim:   NULL
                       19:d=1  hl=4 l= 271 prim:  BIT STRING */
                    
$tag ord($this->_string_shift($key)); // skip over the BIT STRING / OCTET STRING tag
                    
$this->_decodeLength($key); // skip over the BIT STRING / OCTET STRING length
                    // "The initial octet shall encode, as an unsigned binary integer wtih bit 1 as the least significant bit, the number of
                    //  unused bits in the final subsequent octet. The number shall be in the range zero to seven."
                    //  -- http://www.itu.int/ITU-T/studygroups/com17/languages/X.690-0207.pdf (section 8.6.2.2)
                    
if ($tag == CRYPT_RSA_ASN1_BITSTRING) {
                        
$this->_string_shift($key);
                    }
                    if (
ord($this->_string_shift($key)) != CRYPT_RSA_ASN1_SEQUENCE) {
                        return 
false;
                    }
                    if (
$this->_decodeLength($key) != strlen($key)) {
                        return 
false;
                    }
                    
$tag ord($this->_string_shift($key));
                }
                if (
$tag != CRYPT_RSA_ASN1_INTEGER) {
                    return 
false;
                }

                
$length $this->_decodeLength($key);
                
$temp $this->_string_shift($key$length);
                if (
strlen($temp) != || ord($temp) > 2) {
                    
$components['modulus'] = new Math_BigInteger($temp256);
                    
$this->_string_shift($key); // skip over CRYPT_RSA_ASN1_INTEGER
                    
$length $this->_decodeLength($key);
                    
$components[$type == CRYPT_RSA_PUBLIC_FORMAT_PKCS1 'publicExponent' 'privateExponent'] = new Math_BigInteger($this->_string_shift($key$length), 256);

                    return 
$components;
                }
                if (
ord($this->_string_shift($key)) != CRYPT_RSA_ASN1_INTEGER) {
                    return 
false;
                }
                
$length $this->_decodeLength($key);
                
$components['modulus'] = new Math_BigInteger($this->_string_shift($key$length), 256);
                
$this->_string_shift($key);
                
$length $this->_decodeLength($key);
                
$components['publicExponent'] = new Math_BigInteger($this->_string_shift($key$length), 256);
                
$this->_string_shift($key);
                
$length $this->_decodeLength($key);
                
$components['privateExponent'] = new Math_BigInteger($this->_string_shift($key$length), 256);
                
$this->_string_shift($key);
                
$length $this->_decodeLength($key);
                
$components['primes'] = array(=> new Math_BigInteger($this->_string_shift($key$length), 256));
                
$this->_string_shift($key);
                
$length $this->_decodeLength($key);
                
$components['primes'][] = new Math_BigInteger($this->_string_shift($key$length), 256);
                
$this->_string_shift($key);
                
$length $this->_decodeLength($key);
                
$components['exponents'] = array(=> new Math_BigInteger($this->_string_shift($key$length), 256));
                
$this->_string_shift($key);
                
$length $this->_decodeLength($key);
                
$components['exponents'][] = new Math_BigInteger($this->_string_shift($key$length), 256);
                
$this->_string_shift($key);
                
$length $this->_decodeLength($key);
                
$components['coefficients'] = array(=> new Math_BigInteger($this->_string_shift($key$length), 256));

                if (!empty(
$key)) {
                    if (
ord($this->_string_shift($key)) != CRYPT_RSA_ASN1_SEQUENCE) {
                        return 
false;
                    }
                    
$this->_decodeLength($key);
                    while (!empty(
$key)) {
                        if (
ord($this->_string_shift($key)) != CRYPT_RSA_ASN1_SEQUENCE) {
                            return 
false;
                        }
                        
$this->_decodeLength($key);
                        
$key substr($key1);
                        
$length $this->_decodeLength($key);
                        
$components['primes'][] = new Math_BigInteger($this->_string_shift($key$length), 256);
                        
$this->_string_shift($key);
                        
$length $this->_decodeLength($key);
                        
$components['exponents'][] = new Math_BigInteger($this->_string_shift($key$length), 256);
                        
$this->_string_shift($key);
                        
$length $this->_decodeLength($key);
                        
$components['coefficients'][] = new Math_BigInteger($this->_string_shift($key$length), 256);
                    }
                }

                return 
$components;
            case 
CRYPT_RSA_PUBLIC_FORMAT_OPENSSH:
                
$parts explode(' '$key3);

                
$key = isset($parts[1]) ? base64_decode($parts[1]) : false;
                if (
$key === false) {
                    return 
false;
                }

                
$comment = isset($parts[2]) ? $parts[2] : false;

                
$cleanup substr($key011) == "7ssh-rsa";

                if (
strlen($key) <= 4) {
                    return 
false;
                }
                
extract(unpack('Nlength'$this->_string_shift($key4)));
                
$publicExponent = new Math_BigInteger($this->_string_shift($key$length), -256);
                if (
strlen($key) <= 4) {
                    return 
false;
                }
                
extract(unpack('Nlength'$this->_string_shift($key4)));
                
$modulus = new Math_BigInteger($this->_string_shift($key$length), -256);

                if (
$cleanup && strlen($key)) {
                    if (
strlen($key) <= 4) {
                        return 
false;
                    }
                    
extract(unpack('Nlength'$this->_string_shift($key4)));
                    
$realModulus = new Math_BigInteger($this->_string_shift($key$length), -256);
                    return 
strlen($key) ? false : array(
                        
'modulus' => $realModulus,
                        
'publicExponent' => $modulus,
                        
'comment' => $comment
                    
);
                } else {
                    return 
strlen($key) ? false : array(
                        
'modulus' => $modulus,
                        
'publicExponent' => $publicExponent,
                        
'comment' => $comment
                    
);
                }
            
// http://www.w3.org/TR/xmldsig-core/#sec-RSAKeyValue
            // http://en.wikipedia.org/wiki/XML_Signature
            
case CRYPT_RSA_PRIVATE_FORMAT_XML:
            case 
CRYPT_RSA_PUBLIC_FORMAT_XML:
                
$this->components = array();

                
$xml xml_parser_create('UTF-8');
                
xml_set_object($xml$this);
                
xml_set_element_handler($xml'_start_element_handler''_stop_element_handler');
                
xml_set_character_data_handler($xml'_data_handler');
                
// add <xml></xml> to account for "dangling" tags like <BitStrength>...</BitStrength> that are sometimes added
                
if (!xml_parse($xml'<xml>' $key '</xml>')) {
                    return 
false;
                }

                return isset(
$this->components['modulus']) && isset($this->components['publicExponent']) ? $this->components false;
            
// from PuTTY's SSHPUBK.C
            
case CRYPT_RSA_PRIVATE_FORMAT_PUTTY:
                
$components = array();
                
$key preg_split('#rn|r|n#'$key);
                
$type trim(preg_replace('#PuTTY-User-Key-File-2: (.+)#''$1'$key[0]));
                if (
$type != 'ssh-rsa') {
                    return 
false;
                }
                
$encryption trim(preg_replace('#Encryption: (.+)#''$1'$key[1]));
                
$comment trim(preg_replace('#Comment: (.+)#''$1'$key[2]));

                
$publicLength trim(preg_replace('#Public-Lines: (d+)#''$1'$key[3]));
                
$public base64_decode(implode(''array_map('trim'array_slice($key4$publicLength))));
                
$public substr($public11);
                
extract(unpack('Nlength'$this->_string_shift($public4)));
                
$components['publicExponent'] = new Math_BigInteger($this->_string_shift($public$length), -256);
                
extract(unpack('Nlength'$this->_string_shift($public4)));
                
$components['modulus'] = new Math_BigInteger($this->_string_shift($public$length), -256);

                
$privateLength trim(preg_replace('#Private-Lines: (d+)#''$1'$key[$publicLength 4]));
                
$private base64_decode(implode(''array_map('trim'array_slice($key$publicLength 5$privateLength))));

                switch (
$encryption) {
                    case 
'aes256-cbc':
                        if (!
class_exists('Crypt_AES')) {
                            include_once 
'Crypt/AES.php';
                        }
                        
$symkey '';
                        
$sequence 0;
                        while (
strlen($symkey) < 32) {
                            
$temp pack('Na*'$sequence++, $this->password);
                            
$symkey.= pack('H*'sha1($temp));
                        }
                        
$symkey substr($symkey032);
                        
$crypto = new Crypt_AES();
                }

                if (
$encryption != 'none') {
                    
$crypto->setKey($symkey);
                    
$crypto->disablePadding();
                    
$private $crypto->decrypt($private);
                    if (
$private === false) {
                        return 
false;
                    }
                }

                
extract(unpack('Nlength'$this->_string_shift($private4)));
                if (
strlen($private) < $length) {
                    return 
false;
                }
                
$components['privateExponent'] = new Math_BigInteger($this->_string_shift($private$length), -256);
                
extract(unpack('Nlength'$this->_string_shift($private4)));
                if (
strlen($private) < $length) {
                    return 
false;
                }
                
$components['primes'] = array(=> new Math_BigInteger($this->_string_shift($private$length), -256));
                
extract(unpack('Nlength'$this->_string_shift($private4)));
                if (
strlen($private) < $length) {
                    return 
false;
                }
                
$components['primes'][] = new Math_BigInteger($this->_string_shift($private$length), -256);

                
$temp $components['primes'][1]->subtract($this->one);
                
$components['exponents'] = array(=> $components['publicExponent']->modInverse($temp));
                
$temp $components['primes'][2]->subtract($this->one);
                
$components['exponents'][] = $components['publicExponent']->modInverse($temp);

                
extract(unpack('Nlength'$this->_string_shift($private4)));
                if (
strlen($private) < $length) {
                    return 
false;
                }
                
$components['coefficients'] = array(=> new Math_BigInteger($this->_string_shift($private$length), -256));

                return 
$components;
        }
    }

    
/**
     * Returns the key size
     *
     * More specifically, this returns the size of the modulo in bits.
     *
     * @access public
     * @return Integer
     */
    
function getSize()
    {
        return !isset(
$this->modulus) ? strlen($this->modulus->toBits());
    }

    
/**
     * Start Element Handler
     *
     * Called by xml_set_element_handler()
     *
     * @access private
     * @param Resource $parser
     * @param String $name
     * @param Array $attribs
     */
    
function _start_element_handler($parser$name$attribs)
    {
        
//$name = strtoupper($name);
        
switch ($name) {
            case 
'MODULUS':
                
$this->current = &$this->components['modulus'];
                break;
            case 
'EXPONENT':
                
$this->current = &$this->components['publicExponent'];
                break;
            case 
'P':
                
$this->current = &$this->components['primes'][1];
                break;
            case 
'Q':
                
$this->current = &$this->components['primes'][2];
                break;
            case 
'DP':
                
$this->current = &$this->components['exponents'][1];
                break;
            case 
'DQ':
                
$this->current = &$this->components['exponents'][2];
                break;
            case 
'INVERSEQ':
                
$this->current = &$this->components['coefficients'][2];
                break;
            case 
'D':
                
$this->current = &$this->components['privateExponent'];
        }
        
$this->current '';
    }

    
/**
     * Stop Element Handler
     *
     * Called by xml_set_element_handler()
     *
     * @access private
     * @param Resource $parser
     * @param String $name
     */
    
function _stop_element_handler($parser$name)
    {
        if (isset(
$this->current)) {
            
$this->current = new Math_BigInteger(base64_decode($this->current), 256);
            unset(
$this->current);
        }
    }

    
/**
     * Data Handler
     *
     * Called by xml_set_character_data_handler()
     *
     * @access private
     * @param Resource $parser
     * @param String $data
     */
    
function _data_handler($parser$data)
    {
        if (!isset(
$this->current) || is_object($this->current)) {
            return;
        }
        
$this->current.= trim($data);
    }

    
/**
     * Loads a public or private key
     *
     * Returns true on success and false on failure (ie. an incorrect password was provided or the key was malformed)
     *
     * @access public
     * @param String $key
     * @param Integer $type optional
     */
    
function loadKey($key$type false)
    {
        if (
is_object($key) && strtolower(get_class($key)) == 'crypt_rsa') {
            
$this->privateKeyFormat $key->privateKeyFormat;
            
$this->publicKeyFormat $key->publicKeyFormat;
            
$this->$key->k;
            
$this->hLen $key->hLen;
            
$this->sLen $key->sLen;
            
$this->mgfHLen $key->mgfHLen;
            
$this->encryptionMode $key->encryptionMode;
            
$this->signatureMode $key->signatureMode;
            
$this->password $key->password;
            
$this->configFile $key->configFile;
            
$this->comment $key->comment;

            if (
is_object($key->hash)) {
                
$this->hash = new Crypt_Hash($key->hash->getHash());
            }
            if (
is_object($key->mgfHash)) {
                
$this->mgfHash = new Crypt_Hash($key->mgfHash->getHash());
            }

            if (
is_object($key->modulus)) {
                
$this->modulus $key->modulus->copy();
            }
            if (
is_object($key->exponent)) {
                
$this->exponent $key->exponent->copy();
            }
            if (
is_object($key->publicExponent)) {
                
$this->publicExponent $key->publicExponent->copy();
            }

            
$this->primes = array();
            
$this->exponents = array();
            
$this->coefficients = array();

            foreach (
$this->primes as $prime) {
                
$this->primes[] = $prime->copy();
            }
            foreach (
$this->exponents as $exponent) {
                
$this->exponents[] = $exponent->copy();
            }
            foreach (
$this->coefficients as $coefficient) {
                
$this->coefficients[] = $coefficient->copy();
            }

            return 
true;
        }

        if (
$type === false) {
            
$types = array(
                
CRYPT_RSA_PUBLIC_FORMAT_RAW,
                
CRYPT_RSA_PRIVATE_FORMAT_PKCS1,
                
CRYPT_RSA_PRIVATE_FORMAT_XML,
                
CRYPT_RSA_PRIVATE_FORMAT_PUTTY,
                
CRYPT_RSA_PUBLIC_FORMAT_OPENSSH
            
);
            foreach (
$types as $type) {
                
$components $this->_parseKey($key$type);
                if (
$components !== false) {
                    break;
                }
            }

        } else {
            
$components $this->_parseKey($key$type);
        }

        if (
$components === false) {
            return 
false;
        }

        if (isset(
$components['comment']) && $components['comment'] !== false) {
            
$this->comment $components['comment'];
        }
        
$this->modulus $components['modulus'];
        
$this->strlen($this->modulus->toBytes());
        
$this->exponent = isset($components['privateExponent']) ? $components['privateExponent'] : $components['publicExponent'];
        if (isset(
$components['primes'])) {
            
$this->primes $components['primes'];
            
$this->exponents $components['exponents'];
            
$this->coefficients $components['coefficients'];
            
$this->publicExponent $components['publicExponent'];
        } else {
            
$this->primes = array();
            
$this->exponents = array();
            
$this->coefficients = array();
            
$this->publicExponent false;
        }

        switch (
$type) {
            case 
CRYPT_RSA_PUBLIC_FORMAT_OPENSSH:
            case 
CRYPT_RSA_PUBLIC_FORMAT_RAW:
                
$this->setPublicKey();
                break;
            case 
CRYPT_RSA_PRIVATE_FORMAT_PKCS1:
                switch (
true) {
                    case 
strpos($key'-BEGIN PUBLIC KEY-') !== false:
                    case 
strpos($key'-BEGIN RSA PUBLIC KEY-') !== false:
                        
$this->setPublicKey();
                }
        }

        return 
true;
    }

    
/**
     * Sets the password
     *
     * Private keys can be encrypted with a password.  To unset the password, pass in the empty string or false.
     * Or rather, pass in $password such that empty($password) && !is_string($password) is true.
     *
     * @see createKey()
     * @see loadKey()
     * @access public
     * @param String $password
     */
    
function setPassword($password false)
    {
        
$this->password $password;
    }

    
/**
     * Defines the public key
     *
     * Some private key formats define the public exponent and some don't.  Those that don't define it are problematic when
     * used in certain contexts.  For example, in SSH-2, RSA authentication works by sending the public key along with a
     * message signed by the private key to the server.  The SSH-2 server looks the public key up in an index of public keys
     * and if it's present then proceeds to verify the signature.  Problem is, if your private key doesn't include the public
     * exponent this won't work unless you manually add the public exponent. phpseclib tries to guess if the key being used
     * is the public key but in the event that it guesses incorrectly you might still want to explicitly set the key as being
     * public.
     *
     * Do note that when a new key is loaded the index will be cleared.
     *
     * Returns true on success, false on failure
     *
     * @see getPublicKey()
     * @access public
     * @param String $key optional
     * @param Integer $type optional
     * @return Boolean
     */
    
function setPublicKey($key false$type false)
    {
        
// if a public key has already been loaded return false
        
if (!empty($this->publicExponent)) {
            return 
false;
        }

        if (
$key === false && !empty($this->modulus)) {
            
$this->publicExponent $this->exponent;
            return 
true;
        }

        if (
$type === false) {
            
$types = array(
                
CRYPT_RSA_PUBLIC_FORMAT_RAW,
                
CRYPT_RSA_PUBLIC_FORMAT_PKCS1,
                
CRYPT_RSA_PUBLIC_FORMAT_XML,
                
CRYPT_RSA_PUBLIC_FORMAT_OPENSSH
            
);
            foreach (
$types as $type) {
                
$components $this->_parseKey($key$type);
                if (
$components !== false) {
                    break;
                }
            }
        } else {
            
$components $this->_parseKey($key$type);
        }

        if (
$components === false) {
            return 
false;
        }

        if (empty(
$this->modulus) || !$this->modulus->equals($components['modulus'])) {
            
$this->modulus $components['modulus'];
            
$this->exponent $this->publicExponent $components['publicExponent'];
            return 
true;
        }

        
$this->publicExponent $components['publicExponent'];

        return 
true;
    }

    
/**
     * Defines the private key
     *
     * If phpseclib guessed a private key was a public key and loaded it as such it might be desirable to force
     * phpseclib to treat the key as a private key. This function will do that.
     *
     * Do note that when a new key is loaded the index will be cleared.
     *
     * Returns true on success, false on failure
     *
     * @see getPublicKey()
     * @access public
     * @param String $key optional
     * @param Integer $type optional
     * @return Boolean
     */
    
function setPrivateKey($key false$type false)
    {
        if (
$key === false && !empty($this->publicExponent)) {
            unset(
$this->publicExponent);
            return 
true;
        }

        
$rsa = new Crypt_RSA();
        if (!
$rsa->loadKey($key$type)) {
            return 
false;
        }
        unset(
$rsa->publicExponent);

        
// don't overwrite the old key if the new key is invalid
        
$this->loadKey($rsa);
        return 
true;
    }

    
/**
     * Returns the public key
     *
     * The public key is only returned under two circumstances - if the private key had the public key embedded within it
     * or if the public key was set via setPublicKey().  If the currently loaded key is supposed to be the public key this
     * function won't return it since this library, for the most part, doesn't distinguish between public and private keys.
     *
     * @see getPublicKey()
     * @access public
     * @param String $key
     * @param Integer $type optional
     */
    
function getPublicKey($type CRYPT_RSA_PUBLIC_FORMAT_PKCS8)
    {
        if (empty(
$this->modulus) || empty($this->publicExponent)) {
            return 
false;
        }

        
$oldFormat $this->publicKeyFormat;
        
$this->publicKeyFormat $type;
        
$temp $this->_convertPublicKey($this->modulus$this->publicExponent);
        
$this->publicKeyFormat $oldFormat;
        return 
$temp;
    }

    
/**
     * Returns the public key's fingerprint
     *
     * The public key's fingerprint is returned, which is equivalent to running `ssh-keygen -lf rsa.pub`. If there is
     * no public key currently loaded, false is returned.
     * Example output (md5): "c1:b1:30:29:d7:b8:de:6c:97:77:10:d7:46:41:63:87" (as specified by RFC 4716)
     *
     * @access public
     * @param String $algorithm The hashing algorithm to be used. Valid options are 'md5' and 'sha256'. False is returned
     * for invalid values.
     */
    
public function getPublicKeyFingerprint($algorithm 'md5')
    {
        if (empty(
$this->modulus) || empty($this->publicExponent)) {
            return 
false;
        }

        
$modulus $this->modulus->toBytes(true);
        
$publicExponent $this->publicExponent->toBytes(true);

        
$RSAPublicKey pack('Na*Na*Na*'strlen('ssh-rsa'), 'ssh-rsa'strlen($publicExponent), $publicExponentstrlen($modulus), $modulus);

        switch (
$algorithm) {
            case 
'sha256':
                
$hash = new Crypt_Hash('sha256');
                
$base base64_encode($hash->hash($RSAPublicKey));
                return 
substr($base0strlen($base) - 1);
            case 
'md5':
                return 
substr(chunk_split(md5($RSAPublicKey), 2':'), 0, -1);
            default:
                return 
false;
        }

    }

    
/**
     * Returns the private key
     *
     * The private key is only returned if the currently loaded key contains the constituent prime numbers.
     *
     * @see getPublicKey()
     * @access public
     * @param String $key
     * @param Integer $type optional
     */
    
function getPrivateKey($type CRYPT_RSA_PUBLIC_FORMAT_PKCS1)
    {
        if (empty(
$this->primes)) {
            return 
false;
        }

        
$oldFormat $this->privateKeyFormat;
        
$this->privateKeyFormat $type;
        
$temp $this->_convertPrivateKey($this->modulus$this->publicExponent$this->exponent$this->primes$this->exponents$this->coefficients);
        
$this->privateKeyFormat $oldFormat;
        return 
$temp;
    }

    
/**
     * Returns a minimalistic private key
     *
     * Returns the private key without the prime number constituants.  Structurally identical to a public key that
     * hasn't been set as the public key
     *
     * @see getPrivateKey()
     * @access private
     * @param String $key
     * @param Integer $type optional
     */
    
function _getPrivatePublicKey($mode CRYPT_RSA_PUBLIC_FORMAT_PKCS8)
    {
        if (empty(
$this->modulus) || empty($this->exponent)) {
            return 
false;
        }

        
$oldFormat $this->publicKeyFormat;
        
$this->publicKeyFormat $mode;
        
$temp $this->_convertPublicKey($this->modulus$this->exponent);
        
$this->publicKeyFormat $oldFormat;
        return 
$temp;
    }

    
/**
     *  __toString() magic method
     *
     * @access public
     */
    
function __toString()
    {
        
$key $this->getPrivateKey($this->privateKeyFormat);
        if (
$key !== false) {
            return 
$key;
        }
        
$key $this->_getPrivatePublicKey($this->publicKeyFormat);
        return 
$key !== false $key '';
    }

    
/**
     *  __clone() magic method
     *
     * @access public
     */
    
function __clone()
    {
        
$key = new Crypt_RSA();
        
$key->loadKey($this);
        return 
$key;
    }

    
/**
     * Generates the smallest and largest numbers requiring $bits bits
     *
     * @access private
     * @param Integer $bits
     * @return Array
     */
    
function _generateMinMax($bits)
    {
        
$bytes $bits >> 3;
        
$min str_repeat(chr(0), $bytes);
        
$max str_repeat(chr(0xFF), $bytes);
        
$msb $bits 7;
        if (
$msb) {
            
$min chr(<< ($msb 1)) . $min;
            
$max chr((<< $msb) - 1) . $max;
        } else {
            
$min[0] = chr(0x80);
        }

        return array(
            
'min' => new Math_BigInteger($min256),
            
'max' => new Math_BigInteger($max256)
        );
    }

    
/**
     * DER-decode the length
     *
     * DER supports lengths up to (2**8)**127, however, we'll only support lengths up to (2**8)**4.  See
     * {@link http://itu.int/ITU-T/studygroups/com17/languages/X.690-0207.pdf#p=13 X.690 paragraph 8.1.3} for more information.
     *
     * @access private
     * @param String $string
     * @return Integer
     */
    
function _decodeLength(&$string)
    {
        
$length ord($this->_string_shift($string));
        if (
$length 0x80) { // definite length, long form
            
$length&= 0x7F;
            
$temp $this->_string_shift($string$length);
            list(, 
$length) = unpack('N'substr(str_pad($temp4chr(0), STR_PAD_LEFT), -4));
        }
        return 
$length;
    }

    
/**
     * DER-encode the length
     *
     * DER supports lengths up to (2**8)**127, however, we'll only support lengths up to (2**8)**4.  See
     * {@link http://itu.int/ITU-T/studygroups/com17/languages/X.690-0207.pdf#p=13 X.690 paragraph 8.1.3} for more information.
     *
     * @access private
     * @param Integer $length
     * @return String
     */
    
function _encodeLength($length)
    {
        if (
$length <= 0x7F) {
            return 
chr($length);
        }

        
$temp ltrim(pack('N'$length), chr(0));
        return 
pack('Ca*'0x80 strlen($temp), $temp);
    }

    
/**
     * String Shift
     *
     * Inspired by array_shift
     *
     * @param String $string
     * @param optional Integer $index
     * @return String
     * @access private
     */
    
function _string_shift(&$string$index 1)
    {
        
$substr substr($string0$index);
        
$string substr($string$index);
        return 
$substr;
    }

    
/**
     * Determines the private key format
     *
     * @see createKey()
     * @access public
     * @param Integer $format
     */
    
function setPrivateKeyFormat($format)
    {
        
$this->privateKeyFormat $format;
    }

    
/**
     * Determines the public key format
     *
     * @see createKey()
     * @access public
     * @param Integer $format
     */
    
function setPublicKeyFormat($format)
    {
        
$this->publicKeyFormat $format;
    }

    
/**
     * Determines which hashing function should be used
     *
     * Used with signature production / verification and (if the encryption mode is CRYPT_RSA_ENCRYPTION_OAEP) encryption and
     * decryption.  If $hash isn't supported, sha1 is used.
     *
     * @access public
     * @param String $hash
     */
    
function setHash($hash)
    {
        
// Crypt_Hash supports algorithms that PKCS#1 doesn't support.  md5-96 and sha1-96, for example.
        
switch ($hash) {
            case 
'md2':
            case 
'md5':
            case 
'sha1':
            case 
'sha256':
            case 
'sha384':
            case 
'sha512':
                
$this->hash = new Crypt_Hash($hash);
                
$this->hashName $hash;
                break;
            default:
                
$this->hash = new Crypt_Hash('sha1');
                
$this->hashName 'sha1';
        }
        
$this->hLen $this->hash->getLength();
    }

    
/**
     * Determines which hashing function should be used for the mask generation function
     *
     * The mask generation function is used by CRYPT_RSA_ENCRYPTION_OAEP and CRYPT_RSA_SIGNATURE_PSS and although it's
     * best if Hash and MGFHash are set to the same thing this is not a requirement.
     *
     * @access public
     * @param String $hash
     */
    
function setMGFHash($hash)
    {
        
// Crypt_Hash supports algorithms that PKCS#1 doesn't support.  md5-96 and sha1-96, for example.
        
switch ($hash) {
            case 
'md2':
            case 
'md5':
            case 
'sha1':
            case 
'sha256':
            case 
'sha384':
            case 
'sha512':
                
$this->mgfHash = new Crypt_Hash($hash);
                break;
            default:
                
$this->mgfHash = new Crypt_Hash('sha1');
        }
        
$this->mgfHLen $this->mgfHash->getLength();
    }

    
/**
     * Determines the salt length
     *
     * To quote from {@link http://tools.ietf.org/html/rfc3447#page-38 RFC3447#page-38}:
     *
     *    Typical salt lengths in octets are hLen (the length of the output
     *    of the hash function Hash) and 0.
     *
     * @access public
     * @param Integer $format
     */
    
function setSaltLength($sLen)
    {
        
$this->sLen $sLen;
    }

    
/**
     * Integer-to-Octet-String primitive
     *
     * See {@link http://tools.ietf.org/html/rfc3447#section-4.1 RFC3447#section-4.1}.
     *
     * @access private
     * @param Math_BigInteger $x
     * @param Integer $xLen
     * @return String
     */
    
function _i2osp($x$xLen)
    {
        
$x $x->toBytes();
        if (
strlen($x) > $xLen) {
            
user_error('Integer too large');
            return 
false;
        }
        return 
str_pad($x$xLenchr(0), STR_PAD_LEFT);
    }

    
/**
     * Octet-String-to-Integer primitive
     *
     * See {@link http://tools.ietf.org/html/rfc3447#section-4.2 RFC3447#section-4.2}.
     *
     * @access private
     * @param String $x
     * @return Math_BigInteger
     */
    
function _os2ip($x)
    {
        return new 
Math_BigInteger($x256);
    }

    
/**
     * Exponentiate with or without Chinese Remainder Theorem
     *
     * See {@link http://tools.ietf.org/html/rfc3447#section-5.1.1 RFC3447#section-5.1.2}.
     *
     * @access private
     * @param Math_BigInteger $x
     * @return Math_BigInteger
     */
    
function _exponentiate($x)
    {
        if (empty(
$this->primes) || empty($this->coefficients) || empty($this->exponents)) {
            return 
$x->modPow($this->exponent$this->modulus);
        }

        
$num_primes count($this->primes);

        if (
defined('CRYPT_RSA_DISABLE_BLINDING')) {
            
$m_i = array(
                
=> $x->modPow($this->exponents[1], $this->primes[1]),
                
=> $x->modPow($this->exponents[2], $this->primes[2])
            );
            
$h $m_i[1]->subtract($m_i[2]);
            
$h $h->multiply($this->coefficients[2]);
            list(, 
$h) = $h->divide($this->primes[1]);
            
$m $m_i[2]->add($h->multiply($this->primes[2]));

            
$r $this->primes[1];
            for (
$i 3$i <= $num_primes$i++) {
                
$m_i $x->modPow($this->exponents[$i], $this->primes[$i]);

                
$r $r->multiply($this->primes[$i 1]);

                
$h $m_i->subtract($m);
                
$h $h->multiply($this->coefficients[$i]);
                list(, 
$h) = $h->divide($this->primes[$i]);

                
$m $m->add($r->multiply($h));
            }
        } else {
            
$smallest $this->primes[1];
            for (
$i 2$i <= $num_primes$i++) {
                if (
$smallest->compare($this->primes[$i]) > 0) {
                    
$smallest $this->primes[$i];
                }
            }

            
$one = new Math_BigInteger(1);

            
$r $one->random($one$smallest->subtract($one));

            
$m_i = array(
                
=> $this->_blind($x$r1),
                
=> $this->_blind($x$r2)
            );
            
$h $m_i[1]->subtract($m_i[2]);
            
$h $h->multiply($this->coefficients[2]);
            list(, 
$h) = $h->divide($this->primes[1]);
            
$m $m_i[2]->add($h->multiply($this->primes[2]));

            
$r $this->primes[1];
            for (
$i 3$i <= $num_primes$i++) {
                
$m_i $this->_blind($x$r$i);

                
$r $r->multiply($this->primes[$i 1]);

                
$h $m_i->subtract($m);
                
$h $h->multiply($this->coefficients[$i]);
                list(, 
$h) = $h->divide($this->primes[$i]);

                
$m $m->add($r->multiply($h));
            }
        }

        return 
$m;
    }

    
/**
     * Performs RSA Blinding
     *
     * Protects against timing attacks by employing RSA Blinding.
     * Returns $x->modPow($this->exponents[$i], $this->primes[$i])
     *
     * @access private
     * @param Math_BigInteger $x
     * @param Math_BigInteger $r
     * @param Integer $i
     * @return Math_BigInteger
     */
    
function _blind($x$r$i)
    {
        
$x $x->multiply($r->modPow($this->publicExponent$this->primes[$i]));
        
$x $x->modPow($this->exponents[$i], $this->primes[$i]);

        
$r $r->modInverse($this->primes[$i]);
        
$x $x->multiply($r);
        list(, 
$x) = $x->divide($this->primes[$i]);

        return 
$x;
    }

    
/**
     * Performs blinded RSA equality testing
     *
     * Protects against a particular type of timing attack described.
     *
     * See {@link http://codahale.com/a-lesson-in-timing-attacks/ A Lesson In Timing Attacks (or, Don't use MessageDigest.isEquals)}
     *
     * Thanks for the heads up singpolyma!
     *
     * @access private
     * @param String $x
     * @param String $y
     * @return Boolean
     */
    
function _equals($x$y)
    {
        if (
strlen($x) != strlen($y)) {
            return 
false;
        }

        
$result 0;
        for (
$i 0$i strlen($x); $i++) {
            
$result |= ord($x[$i]) ^ ord($y[$i]);
        }

        return 
$result == 0;
    }

    
/**
     * RSAEP
     *
     * See {@link http://tools.ietf.org/html/rfc3447#section-5.1.1 RFC3447#section-5.1.1}.
     *
     * @access private
     * @param Math_BigInteger $m
     * @return Math_BigInteger
     */
    
function _rsaep($m)
    {
        if (
$m->compare($this->zero) < || $m->compare($this->modulus) > 0) {
            
user_error('Message representative out of range');
            return 
false;
        }
        return 
$this->_exponentiate($m);
    }

    
/**
     * RSADP
     *
     * See {@link http://tools.ietf.org/html/rfc3447#section-5.1.2 RFC3447#section-5.1.2}.
     *
     * @access private
     * @param Math_BigInteger $c
     * @return Math_BigInteger
     */
    
function _rsadp($c)
    {
        if (
$c->compare($this->zero) < || $c->compare($this->modulus) > 0) {
            
user_error('Ciphertext representative out of range');
            return 
false;
        }
        return 
$this->_exponentiate($c);
    }

    
/**
     * RSASP1
     *
     * See {@link http://tools.ietf.org/html/rfc3447#section-5.2.1 RFC3447#section-5.2.1}.
     *
     * @access private
     * @param Math_BigInteger $m
     * @return Math_BigInteger
     */
    
function _rsasp1($m)
    {
        if (
$m->compare($this->zero) < || $m->compare($this->modulus) > 0) {
            
user_error('Message representative out of range');
            return 
false;
        }
        return 
$this->_exponentiate($m);
    }

    
/**
     * RSAVP1
     *
     * See {@link http://tools.ietf.org/html/rfc3447#section-5.2.2 RFC3447#section-5.2.2}.
     *
     * @access private
     * @param Math_BigInteger $s
     * @return Math_BigInteger
     */
    
function _rsavp1($s)
    {
        if (
$s->compare($this->zero) < || $s->compare($this->modulus) > 0) {
            
user_error('Signature representative out of range');
            return 
false;
        }
        return 
$this->_exponentiate($s);
    }

    
/**
     * MGF1
     *
     * See {@link http://tools.ietf.org/html/rfc3447#appendix-B.2.1 RFC3447#appendix-B.2.1}.
     *
     * @access private
     * @param String $mgfSeed
     * @param Integer $mgfLen
     * @return String
     */
    
function _mgf1($mgfSeed$maskLen)
    {
        
// if $maskLen would yield strings larger than 4GB, PKCS#1 suggests a "Mask too long" error be output.

        
$t '';
        
$count ceil($maskLen $this->mgfHLen);
        for (
$i 0$i $count$i++) {
            
$c pack('N'$i);
            
$t.= $this->mgfHash->hash($mgfSeed $c);
        }

        return 
substr($t0$maskLen);
    }

    
/**
     * RSAES-OAEP-ENCRYPT
     *
     * See {@link http://tools.ietf.org/html/rfc3447#section-7.1.1 RFC3447#section-7.1.1} and
     * {http://en.wikipedia.org/wiki/Optimal_Asymmetric_Encryption_Padding OAES}.
     *
     * @access private
     * @param String $m
     * @param String $l
     * @return String
     */
    
function _rsaes_oaep_encrypt($m$l '')
    {
        
$mLen strlen($m);

        
// Length checking

        // if $l is larger than two million terrabytes and you're using sha1, PKCS#1 suggests a "Label too long" error
        // be output.

        
if ($mLen $this->$this->hLen 2) {
            
user_error('Message too long');
            return 
false;
        }

        
// EME-OAEP encoding

        
$lHash $this->hash->hash($l);
        
$ps str_repeat(chr(0), $this->$mLen $this->hLen 2);
        
$db $lHash $ps chr(1) . $m;
        
$seed crypt_random_string($this->hLen);
        
$dbMask $this->_mgf1($seed$this->$this->hLen 1);
        
$maskedDB $db $dbMask;
        
$seedMask $this->_mgf1($maskedDB$this->hLen);
        
$maskedSeed $seed $seedMask;
        
$em chr(0) . $maskedSeed $maskedDB;

        
// RSA encryption

        
$m $this->_os2ip($em);
        
$c $this->_rsaep($m);
        
$c $this->_i2osp($c$this->k);

        
// Output the ciphertext C

        
return $c;
    }

    
/**
     * RSAES-OAEP-DECRYPT
     *
     * See {@link http://tools.ietf.org/html/rfc3447#section-7.1.2 RFC3447#section-7.1.2}.  The fact that the error
     * messages aren't distinguishable from one another hinders debugging, but, to quote from RFC3447#section-7.1.2:
     *
     *    Note.  Care must be taken to ensure that an opponent cannot
     *    distinguish the different error conditions in Step 3.g, whether by
     *    error message or timing, or, more generally, learn partial
     *    information about the encoded message EM.  Otherwise an opponent may
     *    be able to obtain useful information about the decryption of the
     *    ciphertext C, leading to a chosen-ciphertext attack such as the one
     *    observed by Manger [36].
     *
     * As for $l...  to quote from {@link http://tools.ietf.org/html/rfc3447#page-17 RFC3447#page-17}:
     *
     *    Both the encryption and the decryption operations of RSAES-OAEP take
     *    the value of a label L as input.  In this version of PKCS #1, L is
     *    the empty string; other uses of the label are outside the scope of
     *    this document.
     *
     * @access private
     * @param String $c
     * @param String $l
     * @return String
     */
    
function _rsaes_oaep_decrypt($c$l '')
    {
        
// Length checking

        // if $l is larger than two million terrabytes and you're using sha1, PKCS#1 suggests a "Label too long" error
        // be output.

        
if (strlen($c) != $this->|| $this->$this->hLen 2) {
            
user_error('Decryption error');
            return 
false;
        }

        
// RSA decryption

        
$c $this->_os2ip($c);
        
$m $this->_rsadp($c);
        if (
$m === false) {
            
user_error('Decryption error');
            return 
false;
        }
        
$em $this->_i2osp($m$this->k);

        
// EME-OAEP decoding

        
$lHash $this->hash->hash($l);
        
$y ord($em[0]);
        
$maskedSeed substr($em1$this->hLen);
        
$maskedDB substr($em$this->hLen 1);
        
$seedMask $this->_mgf1($maskedDB$this->hLen);
        
$seed $maskedSeed $seedMask;
        
$dbMask $this->_mgf1($seed$this->$this->hLen 1);
        
$db $maskedDB $dbMask;
        
$lHash2 substr($db0$this->hLen);
        
$m substr($db$this->hLen);
        if (
$lHash != $lHash2) {
            
user_error('Decryption error');
            return 
false;
        }
        
$m ltrim($mchr(0));
        if (
ord($m[0]) != 1) {
            
user_error('Decryption error');
            return 
false;
        }

        
// Output the message M

        
return substr($m1);
    }

    
/**
     * Raw Encryption / Decryption
     *
     * Doesn't use padding and is not recommended.
     *
     * @access private
     * @param String $m
     * @return String
     */
    
function _raw_encrypt($m)
    {
        
$temp $this->_os2ip($m);
        
$temp $this->_rsaep($temp);
        return  
$this->_i2osp($temp$this->k);
    }

    
/**
     * RSAES-PKCS1-V1_5-ENCRYPT
     *
     * See {@link http://tools.ietf.org/html/rfc3447#section-7.2.1 RFC3447#section-7.2.1}.
     *
     * @access private
     * @param String $m
     * @return String
     */
    
function _rsaes_pkcs1_v1_5_encrypt($m)
    {
        
$mLen strlen($m);

        
// Length checking

        
if ($mLen $this->11) {
            
user_error('Message too long');
            return 
false;
        }

        
// EME-PKCS1-v1_5 encoding

        
$psLen $this->$mLen 3;
        
$ps '';
        while (
strlen($ps) != $psLen) {
            
$temp crypt_random_string($psLen strlen($ps));
            
$temp str_replace("x00"''$temp);
            
$ps.= $temp;
        }
        
$type 2;
        
// see the comments of _rsaes_pkcs1_v1_5_decrypt() to understand why this is being done
        
if (defined('CRYPT_RSA_PKCS15_COMPAT') && (!isset($this->publicExponent) || $this->exponent !== $this->publicExponent)) {
            
$type 1;
            
// "The padding string PS shall consist of k-3-||D|| octets. ... for block type 01, they shall have value FF"
            
$ps str_repeat("xFF"$psLen);
        }
        
$em chr(0) . chr($type) . $ps chr(0) . $m;

        
// RSA encryption
        
$m $this->_os2ip($em);
        
$c $this->_rsaep($m);
        
$c $this->_i2osp($c$this->k);

        
// Output the ciphertext C

        
return $c;
    }

    
/**
     * RSAES-PKCS1-V1_5-DECRYPT
     *
     * See {@link http://tools.ietf.org/html/rfc3447#section-7.2.2 RFC3447#section-7.2.2}.
     *
     * For compatibility purposes, this function departs slightly from the description given in RFC3447.
     * The reason being that RFC2313#section-8.1 (PKCS#1 v1.5) states that ciphertext's encrypted by the
     * private key should have the second byte set to either 0 or 1 and that ciphertext's encrypted by the
     * public key should have the second byte set to 2.  In RFC3447 (PKCS#1 v2.1), the second byte is supposed
     * to be 2 regardless of which key is used.  For compatibility purposes, we'll just check to make sure the
     * second byte is 2 or less.  If it is, we'll accept the decrypted string as valid.
     *
     * As a consequence of this, a private key encrypted ciphertext produced with Crypt_RSA may not decrypt
     * with a strictly PKCS#1 v1.5 compliant RSA implementation.  Public key encrypted ciphertext's should but
     * not private key encrypted ciphertext's.
     *
     * @access private
     * @param String $c
     * @return String
     */
    
function _rsaes_pkcs1_v1_5_decrypt($c)
    {
        
// Length checking

        
if (strlen($c) != $this->k) { // or if k < 11
            
user_error('Decryption error');
            return 
false;
        }

        
// RSA decryption

        
$c $this->_os2ip($c);
        
$m $this->_rsadp($c);

        if (
$m === false) {
            
user_error('Decryption error');
            return 
false;
        }
        
$em $this->_i2osp($m$this->k);

        
// EME-PKCS1-v1_5 decoding

        
if (ord($em[0]) != || ord($em[1]) > 2) {
            
user_error('Decryption error');
            return 
false;
        }

        
$ps substr($em2strpos($emchr(0), 2) - 2);
        
$m substr($emstrlen($ps) + 3);

        if (
strlen($ps) < 8) {
            
user_error('Decryption error');
            return 
false;
        }

        
// Output M

        
return $m;
    }

    
/**
     * EMSA-PSS-ENCODE
     *
     * See {@link http://tools.ietf.org/html/rfc3447#section-9.1.1 RFC3447#section-9.1.1}.
     *
     * @access private
     * @param String $m
     * @param Integer $emBits
     */
    
function _emsa_pss_encode($m$emBits)
    {
        
// if $m is larger than two million terrabytes and you're using sha1, PKCS#1 suggests a "Label too long" error
        // be output.

        
$emLen = ($emBits 1) >> 3// ie. ceil($emBits / 8)
        
$sLen $this->sLen === false $this->hLen $this->sLen;

        
$mHash $this->hash->hash($m);
        if (
$emLen $this->hLen $sLen 2) {
            
user_error('Encoding error');
            return 
false;
        }

        
$salt crypt_random_string($sLen);
        
$m2 "" $mHash $salt;
        
$h $this->hash->hash($m2);
        
$ps str_repeat(chr(0), $emLen $sLen $this->hLen 2);
        
$db $ps chr(1) . $salt;
        
$dbMask $this->_mgf1($h$emLen $this->hLen 1);
        
$maskedDB $db $dbMask;
        
$maskedDB[0] = ~chr(0xFF << ($emBits 7)) & $maskedDB[0];
        
$em $maskedDB $h chr(0xBC);

        return 
$em;
    }

    
/**
     * EMSA-PSS-VERIFY
     *
     * See {@link http://tools.ietf.org/html/rfc3447#section-9.1.2 RFC3447#section-9.1.2}.
     *
     * @access private
     * @param String $m
     * @param String $em
     * @param Integer $emBits
     * @return String
     */
    
function _emsa_pss_verify($m$em$emBits)
    {
        
// if $m is larger than two million terrabytes and you're using sha1, PKCS#1 suggests a "Label too long" error
        // be output.

        
$emLen = ($emBits 1) >> 3// ie. ceil($emBits / 8);
        
$sLen $this->sLen === false $this->hLen $this->sLen;

        
$mHash $this->hash->hash($m);
        if (
$emLen $this->hLen $sLen 2) {
            return 
false;
        }

        if (
$em[strlen($em) - 1] != chr(0xBC)) {
            return 
false;
        }

        
$maskedDB substr($em0, -$this->hLen 1);
        
$h substr($em, -$this->hLen 1$this->hLen);
        
$temp chr(0xFF << ($emBits 7));
        if ((~
$maskedDB[0] & $temp) != $temp) {
            return 
false;
        }
        
$dbMask $this->_mgf1($h$emLen $this->hLen 1);
        
$db $maskedDB $dbMask;
        
$db[0] = ~chr(0xFF << ($emBits 7)) & $db[0];
        
$temp $emLen $this->hLen $sLen 2;
        if (
substr($db0$temp) != str_repeat(chr(0), $temp) || ord($db[$temp]) != 1) {
            return 
false;
        }
        
$salt substr($db$temp 1); // should be $sLen long
        
$m2 "" $mHash $salt;
        
$h2 $this->hash->hash($m2);
        return 
$this->_equals($h$h2);
    }

    
/**
     * RSASSA-PSS-SIGN
     *
     * See {@link http://tools.ietf.org/html/rfc3447#section-8.1.1 RFC3447#section-8.1.1}.
     *
     * @access private
     * @param String $m
     * @return String
     */
    
function _rsassa_pss_sign($m)
    {
        
// EMSA-PSS encoding

        
$em $this->_emsa_pss_encode($m$this->1);

        
// RSA signature

        
$m $this->_os2ip($em);
        
$s $this->_rsasp1($m);
        
$s $this->_i2osp($s$this->k);

        
// Output the signature S

        
return $s;
    }

    
/**
     * RSASSA-PSS-VERIFY
     *
     * See {@link http://tools.ietf.org/html/rfc3447#section-8.1.2 RFC3447#section-8.1.2}.
     *
     * @access private
     * @param String $m
     * @param String $s
     * @return String
     */
    
function _rsassa_pss_verify($m$s)
    {
        
// Length checking

        
if (strlen($s) != $this->k) {
            
user_error('Invalid signature');
            return 
false;
        }

        
// RSA verification

        
$modBits $this->k;

        
$s2 $this->_os2ip($s);
        
$m2 $this->_rsavp1($s2);
        if (
$m2 === false) {
            
user_error('Invalid signature');
            return 
false;
        }
        
$em $this->_i2osp($m2$modBits >> 3);
        if (
$em === false) {
            
user_error('Invalid signature');
            return 
false;
        }

        
// EMSA-PSS verification

        
return $this->_emsa_pss_verify($m$em$modBits 1);
    }

    
/**
     * EMSA-PKCS1-V1_5-ENCODE
     *
     * See {@link http://tools.ietf.org/html/rfc3447#section-9.2 RFC3447#section-9.2}.
     *
     * @access private
     * @param String $m
     * @param Integer $emLen
     * @return String
     */
    
function _emsa_pkcs1_v1_5_encode($m$emLen)
    {
        
$h $this->hash->hash($m);
        if (
$h === false) {
            return 
false;
        }

        
// see http://tools.ietf.org/html/rfc3447#page-43
        
switch ($this->hashName) {
            case 
'md2':
                
$t pack('H*''3020300c06082a864886f70d020205000410');
                break;
            case 
'md5':
                
$t pack('H*''3020300c06082a864886f70d020505000410');
                break;
            case 
'sha1':
                
$t pack('H*''3021300906052b0e03021a05000414');
                break;
            case 
'sha256':
                
$t pack('H*''3031300d060960864801650304020105000420');
                break;
            case 
'sha384':
                
$t pack('H*''3041300d060960864801650304020205000430');
                break;
            case 
'sha512':
                
$t pack('H*''3051300d060960864801650304020305000440');
        }
        
$t.= $h;
        
$tLen strlen($t);

        if (
$emLen $tLen 11) {
            
user_error('Intended encoded message length too short');
            return 
false;
        }

        
$ps str_repeat(chr(0xFF), $emLen $tLen 3);

        
$em "1$ps$t";

        return 
$em;
    }

    
/**
     * RSASSA-PKCS1-V1_5-SIGN
     *
     * See {@link http://tools.ietf.org/html/rfc3447#section-8.2.1 RFC3447#section-8.2.1}.
     *
     * @access private
     * @param String $m
     * @return String
     */
    
function _rsassa_pkcs1_v1_5_sign($m)
    {
        
// EMSA-PKCS1-v1_5 encoding

        
$em $this->_emsa_pkcs1_v1_5_encode($m$this->k);
        if (
$em === false) {
            
user_error('RSA modulus too short');
            return 
false;
        }

        
// RSA signature

        
$m $this->_os2ip($em);
        
$s $this->_rsasp1($m);
        
$s $this->_i2osp($s$this->k);

        
// Output the signature S

        
return $s;
    }

    
/**
     * RSASSA-PKCS1-V1_5-VERIFY
     *
     * See {@link http://tools.ietf.org/html/rfc3447#section-8.2.2 RFC3447#section-8.2.2}.
     *
     * @access private
     * @param String $m
     * @return String
     */
    
function _rsassa_pkcs1_v1_5_verify($m$s)
    {
        
// Length checking

        
if (strlen($s) != $this->k) {
            
user_error('Invalid signature');
            return 
false;
        }

        
// RSA verification

        
$s $this->_os2ip($s);
        
$m2 $this->_rsavp1($s);
        if (
$m2 === false) {
            
user_error('Invalid signature');
            return 
false;
        }
        
$em $this->_i2osp($m2$this->k);
        if (
$em === false) {
            
user_error('Invalid signature');
            return 
false;
        }

        
// EMSA-PKCS1-v1_5 encoding

        
$em2 $this->_emsa_pkcs1_v1_5_encode($m$this->k);
        if (
$em2 === false) {
            
user_error('RSA modulus too short');
            return 
false;
        }

        
// Compare
        
return $this->_equals($em$em2);
    }

    
/**
     * Set Encryption Mode
     *
     * Valid values include CRYPT_RSA_ENCRYPTION_OAEP and CRYPT_RSA_ENCRYPTION_PKCS1.
     *
     * @access public
     * @param Integer $mode
     */
    
function setEncryptionMode($mode)
    {
        
$this->encryptionMode $mode;
    }

    
/**
     * Set Signature Mode
     *
     * Valid values include CRYPT_RSA_SIGNATURE_PSS and CRYPT_RSA_SIGNATURE_PKCS1
     *
     * @access public
     * @param Integer $mode
     */
    
function setSignatureMode($mode)
    {
        
$this->signatureMode $mode;
    }

    
/**
     * Set public key comment.
     *
     * @access public
     * @param String $comment
     */
    
function setComment($comment)
    {
        
$this->comment $comment;
    }

    
/**
     * Get public key comment.
     *
     * @access public
     * @return String
     */
    
function getComment()
    {
        return 
$this->comment;
    }

    
/**
     * Encryption
     *
     * Both CRYPT_RSA_ENCRYPTION_OAEP and CRYPT_RSA_ENCRYPTION_PKCS1 both place limits on how long $plaintext can be.
     * If $plaintext exceeds those limits it will be broken up so that it does and the resultant ciphertext's will
     * be concatenated together.
     *
     * @see decrypt()
     * @access public
     * @param String $plaintext
     * @return String
     */
    
function encrypt($plaintext)
    {
        switch (
$this->encryptionMode) {
            case 
CRYPT_RSA_ENCRYPTION_NONE:
                
$plaintext str_split($plaintext$this->k);
                
$ciphertext '';
                foreach (
$plaintext as $m) {
                    
$ciphertext.= $this->_raw_encrypt($m);
                }
                return 
$ciphertext;
            case 
CRYPT_RSA_ENCRYPTION_PKCS1:
                
$length $this->11;
                if (
$length <= 0) {
                    return 
false;
                }

                
$plaintext str_split($plaintext$length);
                
$ciphertext '';
                foreach (
$plaintext as $m) {
                    
$ciphertext.= $this->_rsaes_pkcs1_v1_5_encrypt($m);
                }
                return 
$ciphertext;
            
//case CRYPT_RSA_ENCRYPTION_OAEP:
            
default:
                
$length $this->$this->hLen 2;
                if (
$length <= 0) {
                    return 
false;
                }

                
$plaintext str_split($plaintext$length);
                
$ciphertext '';
                foreach (
$plaintext as $m) {
                    
$ciphertext.= $this->_rsaes_oaep_encrypt($m);
                }
                return 
$ciphertext;
        }
    }

    
/**
     * Decryption
     *
     * @see encrypt()
     * @access public
     * @param String $plaintext
     * @return String
     */
    
function decrypt($ciphertext)
    {
        if (
$this-><= 0) {
            return 
false;
        }

        
$ciphertext str_split($ciphertext$this->k);
        
$ciphertext[count($ciphertext) - 1] = str_pad($ciphertext[count($ciphertext) - 1], $this->kchr(0), STR_PAD_LEFT);

        
$plaintext '';

        switch (
$this->encryptionMode) {
            case 
CRYPT_RSA_ENCRYPTION_NONE:
                
$decrypt '_raw_encrypt';
                break;
            case 
CRYPT_RSA_ENCRYPTION_PKCS1:
                
$decrypt '_rsaes_pkcs1_v1_5_decrypt';
                break;
            
//case CRYPT_RSA_ENCRYPTION_OAEP:
            
default:
                
$decrypt '_rsaes_oaep_decrypt';
        }

        foreach (
$ciphertext as $c) {
            
$temp $this->$decrypt($c);
            if (
$temp === false) {
                return 
false;
            }
            
$plaintext.= $temp;
        }

        return 
$plaintext;
    }

    
/**
     * Create a signature
     *
     * @see verify()
     * @access public
     * @param String $message
     * @return String
     */
    
function sign($message)
    {
        if (empty(
$this->modulus) || empty($this->exponent)) {
            return 
false;
        }

        switch (
$this->signatureMode) {
            case 
CRYPT_RSA_SIGNATURE_PKCS1:
                return 
$this->_rsassa_pkcs1_v1_5_sign($message);
            
//case CRYPT_RSA_SIGNATURE_PSS:
            
default:
                return 
$this->_rsassa_pss_sign($message);
        }
    }

    
/**
     * Verifies a signature
     *
     * @see sign()
     * @access public
     * @param String $message
     * @param String $signature
     * @return Boolean
     */
    
function verify($message$signature)
    {
        if (empty(
$this->modulus) || empty($this->exponent)) {
            return 
false;
        }

        switch (
$this->signatureMode) {
            case 
CRYPT_RSA_SIGNATURE_PKCS1:
                return 
$this->_rsassa_pkcs1_v1_5_verify($message$signature);
            
//case CRYPT_RSA_SIGNATURE_PSS:
            
default:
                return 
$this->_rsassa_pss_verify($message$signature);
        }
    }

    
/**
     * Extract raw BER from Base64 encoding
     *
     * @access private
     * @param String $str
     * @return String
     */
    
function _extractBER($str)
    {
        
/* X.509 certs are assumed to be base64 encoded but sometimes they'll have additional things in them
         * above and beyond the ceritificate.
         * ie. some may have the following preceding the -----BEGIN CERTIFICATE----- line:
         *
         * Bag Attributes
         *     localKeyID: 01 00 00 00
         * subject=/O=organization/OU=org unit/CN=common name
         * issuer=/O=organization/CN=common name
         */
        
$temp preg_replace('#.*?^-+[^-]+-+#ms'''$str1);
        
// remove the -----BEGIN CERTIFICATE----- and -----END CERTIFICATE----- stuff
        
$temp preg_replace('#-+[^-]+-+#'''$temp);
        
// remove new lines
        
$temp str_replace(array("r""n"' '), ''$temp);
        
$temp preg_match('#^[a-zA-Zd/+]*={0,2}$#'$temp) ? base64_decode($temp) : false;
        return 
$temp != false $temp $str;
    }
}
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