PEAR Channel: [phpseclib.sourceforge.net](http://phpseclib.sourceforge.net/pear.htm)
## Documentation
* [Documentation / Manual](http://phpseclib.sourceforge.net/)
* [API Documentation](http://phpseclib.bantux.org/api/1.0/) (generated by Sami)
## Support
Need Support?
* [Checkout Questions and Answers on Stack Overflow](http://stackoverflow.com/questions/tagged/phpseclib)
* [Create a Support Ticket on GitHub](https://github.com/phpseclib/phpseclib/issues/new)
* [Browse the Support Forum](http://www.frostjedi.com/phpbb/viewforum.php?f=46) (no longer in use)
## Installing Development Dependencies
Dependencies are managed via Composer.
1. Download the [`composer.phar`](https://getcomposer.org/composer.phar) executable as per the
[Composer Download Instructions](https://getcomposer.org/download/), e.g. by running
``` sh
curl -sS https://getcomposer.org/installer | php
```
2. Install Dependencies
``` sh
php composer.phar install
```
## Contributing
1. Fork the Project
2. Install Development Dependencies
3. Create a Feature Branch
4. (Recommended) Run the Test Suite
``` sh
vendor/bin/phpunit
```
5. (Recommended) Check whether your code conforms to our Coding Standards by running
``` sh
vendor/bin/phing -f build/build.xml sniff
```
6. Send us a Pull Request
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},
{
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"homepage": "https://symfony.com/contributors"
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},
{
"name": "Symfony Community",
"homepage": "https://symfony.com/contributors"
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],
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"homepage": "https://symfony.com",
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phpseclib-1.0.5/phpseclib/ 0000775 0000000 0000000 00000000000 13002723614 0015435 5 ustar 00root root 0000000 0000000 phpseclib-1.0.5/phpseclib/Crypt/ 0000775 0000000 0000000 00000000000 13002723614 0016536 5 ustar 00root root 0000000 0000000 phpseclib-1.0.5/phpseclib/Crypt/AES.php 0000664 0000000 0000000 00000014070 13002723614 0017661 0 ustar 00root root 0000000 0000000
* setKey('abcdefghijklmnop');
*
* $size = 10 * 1024;
* $plaintext = '';
* for ($i = 0; $i < $size; $i++) {
* $plaintext.= 'a';
* }
*
* echo $aes->decrypt($aes->encrypt($plaintext));
* ?>
*
*
* 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_AES
* @author Jim Wigginton
* echo $rijndael->encrypt(substr($plaintext, 0, 16));
* echo $rijndael->encrypt(substr($plaintext, 16, 16));
*
*
* echo $rijndael->encrypt($plaintext);
*
*
* The solution is to enable the continuous buffer. Although this will resolve the above discrepancy, it creates
* another, as demonstrated with the following:
*
*
* $rijndael->encrypt(substr($plaintext, 0, 16));
* echo $rijndael->decrypt($rijndael->encrypt(substr($plaintext, 16, 16)));
*
*
* echo $rijndael->decrypt($rijndael->encrypt(substr($plaintext, 16, 16)));
*
*
* With the continuous buffer disabled, these would yield the same output. With it enabled, they yield different
* outputs. The reason is due to the fact that the initialization vector's change after every encryption /
* decryption round when the continuous buffer is enabled. When it's disabled, they remain constant.
*
* Put another way, when the continuous buffer is enabled, the state of the Crypt_*() object changes after each
* encryption / decryption round, whereas otherwise, it'd remain constant. For this reason, it's recommended that
* continuous buffers not be used. They do offer better security and are, in fact, sometimes required (SSH uses them),
* however, they are also less intuitive and more likely to cause you problems.
*
* @see self::disableContinuousBuffer()
* @access public
* @internal Could, but not must, extend by the child Crypt_* class
*/
function enableContinuousBuffer()
{
if ($this->mode == CRYPT_MODE_ECB) {
return;
}
$this->continuousBuffer = true;
$this->_setEngine();
}
/**
* Treat consecutive packets as if they are a discontinuous buffer.
*
* The default behavior.
*
* @see self::enableContinuousBuffer()
* @access public
* @internal Could, but not must, extend by the child Crypt_* class
*/
function disableContinuousBuffer()
{
if ($this->mode == CRYPT_MODE_ECB) {
return;
}
if (!$this->continuousBuffer) {
return;
}
$this->continuousBuffer = false;
$this->changed = true;
$this->_setEngine();
}
/**
* Test for engine validity
*
* @see self::Crypt_Base()
* @param int $engine
* @access public
* @return bool
*/
function isValidEngine($engine)
{
switch ($engine) {
case CRYPT_ENGINE_OPENSSL:
if ($this->mode == CRYPT_MODE_STREAM && $this->continuousBuffer) {
return false;
}
$this->openssl_emulate_ctr = false;
$result = $this->cipher_name_openssl &&
extension_loaded('openssl') &&
// PHP 5.3.0 - 5.3.2 did not let you set IV's
version_compare(PHP_VERSION, '5.3.3', '>=');
if (!$result) {
return false;
}
// prior to PHP 5.4.0 OPENSSL_RAW_DATA and OPENSSL_ZERO_PADDING were not defined. instead of expecting an integer
// $options openssl_encrypt expected a boolean $raw_data.
if (!defined('OPENSSL_RAW_DATA')) {
$this->openssl_options = true;
} else {
$this->openssl_options = OPENSSL_RAW_DATA | OPENSSL_ZERO_PADDING;
}
$methods = openssl_get_cipher_methods();
if (in_array($this->cipher_name_openssl, $methods)) {
return true;
}
// not all of openssl's symmetric cipher's support ctr. for those
// that don't we'll emulate it
switch ($this->mode) {
case CRYPT_MODE_CTR:
if (in_array($this->cipher_name_openssl_ecb, $methods)) {
$this->openssl_emulate_ctr = true;
return true;
}
}
return false;
case CRYPT_ENGINE_MCRYPT:
return $this->cipher_name_mcrypt &&
extension_loaded('mcrypt') &&
in_array($this->cipher_name_mcrypt, @mcrypt_list_algorithms());
case CRYPT_ENGINE_INTERNAL:
return true;
}
return false;
}
/**
* Sets the preferred crypt engine
*
* Currently, $engine could be:
*
* - CRYPT_ENGINE_OPENSSL [very fast]
*
* - CRYPT_ENGINE_MCRYPT [fast]
*
* - CRYPT_ENGINE_INTERNAL [slow]
*
* If the preferred crypt engine is not available the fastest available one will be used
*
* @see self::Crypt_Base()
* @param int $engine
* @access public
*/
function setPreferredEngine($engine)
{
switch ($engine) {
//case CRYPT_ENGINE_OPENSSL:
case CRYPT_ENGINE_MCRYPT:
case CRYPT_ENGINE_INTERNAL:
$this->preferredEngine = $engine;
break;
default:
$this->preferredEngine = CRYPT_ENGINE_OPENSSL;
}
$this->_setEngine();
}
/**
* Returns the engine currently being utilized
*
* @see self::_setEngine()
* @access public
*/
function getEngine()
{
return $this->engine;
}
/**
* Sets the engine as appropriate
*
* @see self::Crypt_Base()
* @access private
*/
function _setEngine()
{
$this->engine = null;
$candidateEngines = array(
$this->preferredEngine,
CRYPT_ENGINE_OPENSSL,
CRYPT_ENGINE_MCRYPT
);
foreach ($candidateEngines as $engine) {
if ($this->isValidEngine($engine)) {
$this->engine = $engine;
break;
}
}
if (!$this->engine) {
$this->engine = CRYPT_ENGINE_INTERNAL;
}
if ($this->engine != CRYPT_ENGINE_MCRYPT && $this->enmcrypt) {
// Closing the current mcrypt resource(s). _mcryptSetup() will, if needed,
// (re)open them with the module named in $this->cipher_name_mcrypt
@mcrypt_module_close($this->enmcrypt);
@mcrypt_module_close($this->demcrypt);
$this->enmcrypt = null;
$this->demcrypt = null;
if ($this->ecb) {
@mcrypt_module_close($this->ecb);
$this->ecb = null;
}
}
$this->changed = true;
}
/**
* Encrypts a block
*
* @access private
* @param string $in
* @return string
* @internal Must be extended by the child Crypt_* class
*/
function _encryptBlock($in)
{
user_error((version_compare(PHP_VERSION, '5.0.0', '>=') ? __METHOD__ : __FUNCTION__) . '() must extend by class ' . get_class($this), E_USER_ERROR);
}
/**
* Decrypts a block
*
* @access private
* @param string $in
* @return string
* @internal Must be extended by the child Crypt_* class
*/
function _decryptBlock($in)
{
user_error((version_compare(PHP_VERSION, '5.0.0', '>=') ? __METHOD__ : __FUNCTION__) . '() must extend by class ' . get_class($this), E_USER_ERROR);
}
/**
* Setup the key (expansion)
*
* Only used if $engine == CRYPT_ENGINE_INTERNAL
*
* @see self::_setup()
* @access private
* @internal Must be extended by the child Crypt_* class
*/
function _setupKey()
{
user_error((version_compare(PHP_VERSION, '5.0.0', '>=') ? __METHOD__ : __FUNCTION__) . '() must extend by class ' . get_class($this), E_USER_ERROR);
}
/**
* Setup the CRYPT_ENGINE_INTERNAL $engine
*
* (re)init, if necessary, the internal cipher $engine and flush all $buffers
* Used (only) if $engine == CRYPT_ENGINE_INTERNAL
*
* _setup() will be called each time if $changed === true
* typically this happens when using one or more of following public methods:
*
* - setKey()
*
* - setIV()
*
* - disableContinuousBuffer()
*
* - First run of encrypt() / decrypt() with no init-settings
*
* @see self::setKey()
* @see self::setIV()
* @see self::disableContinuousBuffer()
* @access private
* @internal _setup() is always called before en/decryption.
* @internal Could, but not must, extend by the child Crypt_* class
*/
function _setup()
{
$this->_clearBuffers();
$this->_setupKey();
if ($this->use_inline_crypt) {
$this->_setupInlineCrypt();
}
}
/**
* Setup the CRYPT_ENGINE_MCRYPT $engine
*
* (re)init, if necessary, the (ext)mcrypt resources and flush all $buffers
* Used (only) if $engine = CRYPT_ENGINE_MCRYPT
*
* _setupMcrypt() will be called each time if $changed === true
* typically this happens when using one or more of following public methods:
*
* - setKey()
*
* - setIV()
*
* - disableContinuousBuffer()
*
* - First run of encrypt() / decrypt()
*
* @see self::setKey()
* @see self::setIV()
* @see self::disableContinuousBuffer()
* @access private
* @internal Could, but not must, extend by the child Crypt_* class
*/
function _setupMcrypt()
{
$this->_clearBuffers();
$this->enchanged = $this->dechanged = true;
if (!isset($this->enmcrypt)) {
static $mcrypt_modes = array(
CRYPT_MODE_CTR => 'ctr',
CRYPT_MODE_ECB => MCRYPT_MODE_ECB,
CRYPT_MODE_CBC => MCRYPT_MODE_CBC,
CRYPT_MODE_CFB => 'ncfb',
CRYPT_MODE_OFB => MCRYPT_MODE_NOFB,
CRYPT_MODE_STREAM => MCRYPT_MODE_STREAM,
);
$this->demcrypt = @mcrypt_module_open($this->cipher_name_mcrypt, '', $mcrypt_modes[$this->mode], '');
$this->enmcrypt = @mcrypt_module_open($this->cipher_name_mcrypt, '', $mcrypt_modes[$this->mode], '');
// we need the $ecb mcrypt resource (only) in MODE_CFB with enableContinuousBuffer()
// to workaround mcrypt's broken ncfb implementation in buffered mode
// see: {@link http://phpseclib.sourceforge.net/cfb-demo.phps}
if ($this->mode == CRYPT_MODE_CFB) {
$this->ecb = @mcrypt_module_open($this->cipher_name_mcrypt, '', MCRYPT_MODE_ECB, '');
}
} // else should mcrypt_generic_deinit be called?
if ($this->mode == CRYPT_MODE_CFB) {
@mcrypt_generic_init($this->ecb, $this->key, str_repeat("\0", $this->block_size));
}
}
/**
* Pads a string
*
* Pads a string using the RSA PKCS padding standards so that its length is a multiple of the blocksize.
* $this->block_size - (strlen($text) % $this->block_size) bytes are added, each of which is equal to
* chr($this->block_size - (strlen($text) % $this->block_size)
*
* If padding is disabled and $text is not a multiple of the blocksize, the string will be padded regardless
* and padding will, hence forth, be enabled.
*
* @see self::_unpad()
* @param string $text
* @access private
* @return string
*/
function _pad($text)
{
$length = strlen($text);
if (!$this->padding) {
if ($length % $this->block_size == 0) {
return $text;
} else {
user_error("The plaintext's length ($length) is not a multiple of the block size ({$this->block_size})");
$this->padding = true;
}
}
$pad = $this->block_size - ($length % $this->block_size);
return str_pad($text, $length + $pad, chr($pad));
}
/**
* Unpads a string.
*
* If padding is enabled and the reported padding length is invalid the encryption key will be assumed to be wrong
* and false will be returned.
*
* @see self::_pad()
* @param string $text
* @access private
* @return string
*/
function _unpad($text)
{
if (!$this->padding) {
return $text;
}
$length = ord($text[strlen($text) - 1]);
if (!$length || $length > $this->block_size) {
return false;
}
return substr($text, 0, -$length);
}
/**
* Clears internal buffers
*
* Clearing/resetting the internal buffers is done everytime
* after disableContinuousBuffer() or on cipher $engine (re)init
* ie after setKey() or setIV()
*
* @access public
* @internal Could, but not must, extend by the child Crypt_* class
*/
function _clearBuffers()
{
$this->enbuffer = $this->debuffer = array('ciphertext' => '', 'xor' => '', 'pos' => 0, 'enmcrypt_init' => true);
// mcrypt's handling of invalid's $iv:
// $this->encryptIV = $this->decryptIV = strlen($this->iv) == $this->block_size ? $this->iv : str_repeat("\0", $this->block_size);
$this->encryptIV = $this->decryptIV = str_pad(substr($this->iv, 0, $this->block_size), $this->block_size, "\0");
if (!$this->skip_key_adjustment) {
$this->key = str_pad(substr($this->key, 0, $this->key_length), $this->key_length, "\0");
}
}
/**
* String Shift
*
* Inspired by array_shift
*
* @param string $string
* @param int $index
* @access private
* @return string
*/
function _string_shift(&$string, $index = 1)
{
$substr = substr($string, 0, $index);
$string = substr($string, $index);
return $substr;
}
/**
* String Pop
*
* Inspired by array_pop
*
* @param string $string
* @param int $index
* @access private
* @return string
*/
function _string_pop(&$string, $index = 1)
{
$substr = substr($string, -$index);
$string = substr($string, 0, -$index);
return $substr;
}
/**
* Increment the current string
*
* @see self::decrypt()
* @see self::encrypt()
* @param string $var
* @access private
*/
function _increment_str(&$var)
{
for ($i = 4; $i <= strlen($var); $i+= 4) {
$temp = substr($var, -$i, 4);
switch ($temp) {
case "\xFF\xFF\xFF\xFF":
$var = substr_replace($var, "\x00\x00\x00\x00", -$i, 4);
break;
case "\x7F\xFF\xFF\xFF":
$var = substr_replace($var, "\x80\x00\x00\x00", -$i, 4);
return;
default:
$temp = unpack('Nnum', $temp);
$var = substr_replace($var, pack('N', $temp['num'] + 1), -$i, 4);
return;
}
}
$remainder = strlen($var) % 4;
if ($remainder == 0) {
return;
}
$temp = unpack('Nnum', str_pad(substr($var, 0, $remainder), 4, "\0", STR_PAD_LEFT));
$temp = substr(pack('N', $temp['num'] + 1), -$remainder);
$var = substr_replace($var, $temp, 0, $remainder);
}
/**
* Setup the performance-optimized function for de/encrypt()
*
* Stores the created (or existing) callback function-name
* in $this->inline_crypt
*
* Internally for phpseclib developers:
*
* _setupInlineCrypt() would be called only if:
*
* - $engine == CRYPT_ENGINE_INTERNAL and
*
* - $use_inline_crypt === true
*
* - each time on _setup(), after(!) _setupKey()
*
*
* This ensures that _setupInlineCrypt() has always a
* full ready2go initializated internal cipher $engine state
* where, for example, the keys allready expanded,
* keys/block_size calculated and such.
*
* It is, each time if called, the responsibility of _setupInlineCrypt():
*
* - to set $this->inline_crypt to a valid and fully working callback function
* as a (faster) replacement for encrypt() / decrypt()
*
* - NOT to create unlimited callback functions (for memory reasons!)
* no matter how often _setupInlineCrypt() would be called. At some
* point of amount they must be generic re-useable.
*
* - the code of _setupInlineCrypt() it self,
* and the generated callback code,
* must be, in following order:
* - 100% safe
* - 100% compatible to encrypt()/decrypt()
* - using only php5+ features/lang-constructs/php-extensions if
* compatibility (down to php4) or fallback is provided
* - readable/maintainable/understandable/commented and... not-cryptic-styled-code :-)
* - >= 10% faster than encrypt()/decrypt() [which is, by the way,
* the reason for the existence of _setupInlineCrypt() :-)]
* - memory-nice
* - short (as good as possible)
*
* Note: - _setupInlineCrypt() is using _createInlineCryptFunction() to create the full callback function code.
* - In case of using inline crypting, _setupInlineCrypt() must extend by the child Crypt_* class.
* - The following variable names are reserved:
* - $_* (all variable names prefixed with an underscore)
* - $self (object reference to it self. Do not use $this, but $self instead)
* - $in (the content of $in has to en/decrypt by the generated code)
* - The callback function should not use the 'return' statement, but en/decrypt'ing the content of $in only
*
*
* @see self::_setup()
* @see self::_createInlineCryptFunction()
* @see self::encrypt()
* @see self::decrypt()
* @access private
* @internal If a Crypt_* class providing inline crypting it must extend _setupInlineCrypt()
*/
function _setupInlineCrypt()
{
// If, for any reason, an extending Crypt_Base() Crypt_* class
// not using inline crypting then it must be ensured that: $this->use_inline_crypt = false
// ie in the class var declaration of $use_inline_crypt in general for the Crypt_* class,
// in the constructor at object instance-time
// or, if it's runtime-specific, at runtime
$this->use_inline_crypt = false;
}
/**
* Creates the performance-optimized function for en/decrypt()
*
* Internally for phpseclib developers:
*
* _createInlineCryptFunction():
*
* - merge the $cipher_code [setup'ed by _setupInlineCrypt()]
* with the current [$this->]mode of operation code
*
* - create the $inline function, which called by encrypt() / decrypt()
* as its replacement to speed up the en/decryption operations.
*
* - return the name of the created $inline callback function
*
* - used to speed up en/decryption
*
*
*
* The main reason why can speed up things [up to 50%] this way are:
*
* - using variables more effective then regular.
* (ie no use of expensive arrays but integers $k_0, $k_1 ...
* or even, for example, the pure $key[] values hardcoded)
*
* - avoiding 1000's of function calls of ie _encryptBlock()
* but inlining the crypt operations.
* in the mode of operation for() loop.
*
* - full loop unroll the (sometimes key-dependent) rounds
* avoiding this way ++$i counters and runtime-if's etc...
*
* The basic code architectur of the generated $inline en/decrypt()
* lambda function, in pseudo php, is:
*
*
* +----------------------------------------------------------------------------------------------+
* | callback $inline = create_function: |
* | lambda_function_0001_crypt_ECB($action, $text) |
* | { |
* | INSERT PHP CODE OF: |
* | $cipher_code['init_crypt']; // general init code. |
* | // ie: $sbox'es declarations used for |
* | // encrypt and decrypt'ing. |
* | |
* | switch ($action) { |
* | case 'encrypt': |
* | INSERT PHP CODE OF: |
* | $cipher_code['init_encrypt']; // encrypt sepcific init code. |
* | ie: specified $key or $box |
* | declarations for encrypt'ing. |
* | |
* | foreach ($ciphertext) { |
* | $in = $block_size of $ciphertext; |
* | |
* | INSERT PHP CODE OF: |
* | $cipher_code['encrypt_block']; // encrypt's (string) $in, which is always: |
* | // strlen($in) == $this->block_size |
* | // here comes the cipher algorithm in action |
* | // for encryption. |
* | // $cipher_code['encrypt_block'] has to |
* | // encrypt the content of the $in variable |
* | |
* | $plaintext .= $in; |
* | } |
* | return $plaintext; |
* | |
* | case 'decrypt': |
* | INSERT PHP CODE OF: |
* | $cipher_code['init_decrypt']; // decrypt sepcific init code |
* | ie: specified $key or $box |
* | declarations for decrypt'ing. |
* | foreach ($plaintext) { |
* | $in = $block_size of $plaintext; |
* | |
* | INSERT PHP CODE OF: |
* | $cipher_code['decrypt_block']; // decrypt's (string) $in, which is always |
* | // strlen($in) == $this->block_size |
* | // here comes the cipher algorithm in action |
* | // for decryption. |
* | // $cipher_code['decrypt_block'] has to |
* | // decrypt the content of the $in variable |
* | $ciphertext .= $in; |
* | } |
* | return $ciphertext; |
* | } |
* | } |
* +----------------------------------------------------------------------------------------------+
*
*
* See also the Crypt_*::_setupInlineCrypt()'s for
* productive inline $cipher_code's how they works.
*
* Structure of:
*
* $cipher_code = array(
* 'init_crypt' => (string) '', // optional
* 'init_encrypt' => (string) '', // optional
* 'init_decrypt' => (string) '', // optional
* 'encrypt_block' => (string) '', // required
* 'decrypt_block' => (string) '' // required
* );
*
*
* @see self::_setupInlineCrypt()
* @see self::encrypt()
* @see self::decrypt()
* @param array $cipher_code
* @access private
* @return string (the name of the created callback function)
*/
function _createInlineCryptFunction($cipher_code)
{
$block_size = $this->block_size;
// optional
$init_crypt = isset($cipher_code['init_crypt']) ? $cipher_code['init_crypt'] : '';
$init_encrypt = isset($cipher_code['init_encrypt']) ? $cipher_code['init_encrypt'] : '';
$init_decrypt = isset($cipher_code['init_decrypt']) ? $cipher_code['init_decrypt'] : '';
// required
$encrypt_block = $cipher_code['encrypt_block'];
$decrypt_block = $cipher_code['decrypt_block'];
// Generating mode of operation inline code,
// merged with the $cipher_code algorithm
// for encrypt- and decryption.
switch ($this->mode) {
case CRYPT_MODE_ECB:
$encrypt = $init_encrypt . '
$_ciphertext = "";
$_plaintext_len = strlen($_text);
for ($_i = 0; $_i < $_plaintext_len; $_i+= '.$block_size.') {
$in = substr($_text, $_i, '.$block_size.');
'.$encrypt_block.'
$_ciphertext.= $in;
}
return $_ciphertext;
';
$decrypt = $init_decrypt . '
$_plaintext = "";
$_text = str_pad($_text, strlen($_text) + ('.$block_size.' - strlen($_text) % '.$block_size.') % '.$block_size.', chr(0));
$_ciphertext_len = strlen($_text);
for ($_i = 0; $_i < $_ciphertext_len; $_i+= '.$block_size.') {
$in = substr($_text, $_i, '.$block_size.');
'.$decrypt_block.'
$_plaintext.= $in;
}
return $self->_unpad($_plaintext);
';
break;
case CRYPT_MODE_CTR:
$encrypt = $init_encrypt . '
$_ciphertext = "";
$_plaintext_len = strlen($_text);
$_xor = $self->encryptIV;
$_buffer = &$self->enbuffer;
if (strlen($_buffer["ciphertext"])) {
for ($_i = 0; $_i < $_plaintext_len; $_i+= '.$block_size.') {
$_block = substr($_text, $_i, '.$block_size.');
if (strlen($_block) > strlen($_buffer["ciphertext"])) {
$in = $_xor;
'.$encrypt_block.'
$self->_increment_str($_xor);
$_buffer["ciphertext"].= $in;
}
$_key = $self->_string_shift($_buffer["ciphertext"], '.$block_size.');
$_ciphertext.= $_block ^ $_key;
}
} else {
for ($_i = 0; $_i < $_plaintext_len; $_i+= '.$block_size.') {
$_block = substr($_text, $_i, '.$block_size.');
$in = $_xor;
'.$encrypt_block.'
$self->_increment_str($_xor);
$_key = $in;
$_ciphertext.= $_block ^ $_key;
}
}
if ($self->continuousBuffer) {
$self->encryptIV = $_xor;
if ($_start = $_plaintext_len % '.$block_size.') {
$_buffer["ciphertext"] = substr($_key, $_start) . $_buffer["ciphertext"];
}
}
return $_ciphertext;
';
$decrypt = $init_encrypt . '
$_plaintext = "";
$_ciphertext_len = strlen($_text);
$_xor = $self->decryptIV;
$_buffer = &$self->debuffer;
if (strlen($_buffer["ciphertext"])) {
for ($_i = 0; $_i < $_ciphertext_len; $_i+= '.$block_size.') {
$_block = substr($_text, $_i, '.$block_size.');
if (strlen($_block) > strlen($_buffer["ciphertext"])) {
$in = $_xor;
'.$encrypt_block.'
$self->_increment_str($_xor);
$_buffer["ciphertext"].= $in;
}
$_key = $self->_string_shift($_buffer["ciphertext"], '.$block_size.');
$_plaintext.= $_block ^ $_key;
}
} else {
for ($_i = 0; $_i < $_ciphertext_len; $_i+= '.$block_size.') {
$_block = substr($_text, $_i, '.$block_size.');
$in = $_xor;
'.$encrypt_block.'
$self->_increment_str($_xor);
$_key = $in;
$_plaintext.= $_block ^ $_key;
}
}
if ($self->continuousBuffer) {
$self->decryptIV = $_xor;
if ($_start = $_ciphertext_len % '.$block_size.') {
$_buffer["ciphertext"] = substr($_key, $_start) . $_buffer["ciphertext"];
}
}
return $_plaintext;
';
break;
case CRYPT_MODE_CFB:
$encrypt = $init_encrypt . '
$_ciphertext = "";
$_buffer = &$self->enbuffer;
if ($self->continuousBuffer) {
$_iv = &$self->encryptIV;
$_pos = &$_buffer["pos"];
} else {
$_iv = $self->encryptIV;
$_pos = 0;
}
$_len = strlen($_text);
$_i = 0;
if ($_pos) {
$_orig_pos = $_pos;
$_max = '.$block_size.' - $_pos;
if ($_len >= $_max) {
$_i = $_max;
$_len-= $_max;
$_pos = 0;
} else {
$_i = $_len;
$_pos+= $_len;
$_len = 0;
}
$_ciphertext = substr($_iv, $_orig_pos) ^ $_text;
$_iv = substr_replace($_iv, $_ciphertext, $_orig_pos, $_i);
}
while ($_len >= '.$block_size.') {
$in = $_iv;
'.$encrypt_block.';
$_iv = $in ^ substr($_text, $_i, '.$block_size.');
$_ciphertext.= $_iv;
$_len-= '.$block_size.';
$_i+= '.$block_size.';
}
if ($_len) {
$in = $_iv;
'.$encrypt_block.'
$_iv = $in;
$_block = $_iv ^ substr($_text, $_i);
$_iv = substr_replace($_iv, $_block, 0, $_len);
$_ciphertext.= $_block;
$_pos = $_len;
}
return $_ciphertext;
';
$decrypt = $init_encrypt . '
$_plaintext = "";
$_buffer = &$self->debuffer;
if ($self->continuousBuffer) {
$_iv = &$self->decryptIV;
$_pos = &$_buffer["pos"];
} else {
$_iv = $self->decryptIV;
$_pos = 0;
}
$_len = strlen($_text);
$_i = 0;
if ($_pos) {
$_orig_pos = $_pos;
$_max = '.$block_size.' - $_pos;
if ($_len >= $_max) {
$_i = $_max;
$_len-= $_max;
$_pos = 0;
} else {
$_i = $_len;
$_pos+= $_len;
$_len = 0;
}
$_plaintext = substr($_iv, $_orig_pos) ^ $_text;
$_iv = substr_replace($_iv, substr($_text, 0, $_i), $_orig_pos, $_i);
}
while ($_len >= '.$block_size.') {
$in = $_iv;
'.$encrypt_block.'
$_iv = $in;
$cb = substr($_text, $_i, '.$block_size.');
$_plaintext.= $_iv ^ $cb;
$_iv = $cb;
$_len-= '.$block_size.';
$_i+= '.$block_size.';
}
if ($_len) {
$in = $_iv;
'.$encrypt_block.'
$_iv = $in;
$_plaintext.= $_iv ^ substr($_text, $_i);
$_iv = substr_replace($_iv, substr($_text, $_i), 0, $_len);
$_pos = $_len;
}
return $_plaintext;
';
break;
case CRYPT_MODE_OFB:
$encrypt = $init_encrypt . '
$_ciphertext = "";
$_plaintext_len = strlen($_text);
$_xor = $self->encryptIV;
$_buffer = &$self->enbuffer;
if (strlen($_buffer["xor"])) {
for ($_i = 0; $_i < $_plaintext_len; $_i+= '.$block_size.') {
$_block = substr($_text, $_i, '.$block_size.');
if (strlen($_block) > strlen($_buffer["xor"])) {
$in = $_xor;
'.$encrypt_block.'
$_xor = $in;
$_buffer["xor"].= $_xor;
}
$_key = $self->_string_shift($_buffer["xor"], '.$block_size.');
$_ciphertext.= $_block ^ $_key;
}
} else {
for ($_i = 0; $_i < $_plaintext_len; $_i+= '.$block_size.') {
$in = $_xor;
'.$encrypt_block.'
$_xor = $in;
$_ciphertext.= substr($_text, $_i, '.$block_size.') ^ $_xor;
}
$_key = $_xor;
}
if ($self->continuousBuffer) {
$self->encryptIV = $_xor;
if ($_start = $_plaintext_len % '.$block_size.') {
$_buffer["xor"] = substr($_key, $_start) . $_buffer["xor"];
}
}
return $_ciphertext;
';
$decrypt = $init_encrypt . '
$_plaintext = "";
$_ciphertext_len = strlen($_text);
$_xor = $self->decryptIV;
$_buffer = &$self->debuffer;
if (strlen($_buffer["xor"])) {
for ($_i = 0; $_i < $_ciphertext_len; $_i+= '.$block_size.') {
$_block = substr($_text, $_i, '.$block_size.');
if (strlen($_block) > strlen($_buffer["xor"])) {
$in = $_xor;
'.$encrypt_block.'
$_xor = $in;
$_buffer["xor"].= $_xor;
}
$_key = $self->_string_shift($_buffer["xor"], '.$block_size.');
$_plaintext.= $_block ^ $_key;
}
} else {
for ($_i = 0; $_i < $_ciphertext_len; $_i+= '.$block_size.') {
$in = $_xor;
'.$encrypt_block.'
$_xor = $in;
$_plaintext.= substr($_text, $_i, '.$block_size.') ^ $_xor;
}
$_key = $_xor;
}
if ($self->continuousBuffer) {
$self->decryptIV = $_xor;
if ($_start = $_ciphertext_len % '.$block_size.') {
$_buffer["xor"] = substr($_key, $_start) . $_buffer["xor"];
}
}
return $_plaintext;
';
break;
case CRYPT_MODE_STREAM:
$encrypt = $init_encrypt . '
$_ciphertext = "";
'.$encrypt_block.'
return $_ciphertext;
';
$decrypt = $init_decrypt . '
$_plaintext = "";
'.$decrypt_block.'
return $_plaintext;
';
break;
// case CRYPT_MODE_CBC:
default:
$encrypt = $init_encrypt . '
$_ciphertext = "";
$_plaintext_len = strlen($_text);
$in = $self->encryptIV;
for ($_i = 0; $_i < $_plaintext_len; $_i+= '.$block_size.') {
$in = substr($_text, $_i, '.$block_size.') ^ $in;
'.$encrypt_block.'
$_ciphertext.= $in;
}
if ($self->continuousBuffer) {
$self->encryptIV = $in;
}
return $_ciphertext;
';
$decrypt = $init_decrypt . '
$_plaintext = "";
$_text = str_pad($_text, strlen($_text) + ('.$block_size.' - strlen($_text) % '.$block_size.') % '.$block_size.', chr(0));
$_ciphertext_len = strlen($_text);
$_iv = $self->decryptIV;
for ($_i = 0; $_i < $_ciphertext_len; $_i+= '.$block_size.') {
$in = $_block = substr($_text, $_i, '.$block_size.');
'.$decrypt_block.'
$_plaintext.= $in ^ $_iv;
$_iv = $_block;
}
if ($self->continuousBuffer) {
$self->decryptIV = $_iv;
}
return $self->_unpad($_plaintext);
';
break;
}
// Create the $inline function and return its name as string. Ready to run!
return create_function('$_action, &$self, $_text', $init_crypt . 'if ($_action == "encrypt") { ' . $encrypt . ' } else { ' . $decrypt . ' }');
}
/**
* Holds the lambda_functions table (classwide)
*
* Each name of the lambda function, created from
* _setupInlineCrypt() && _createInlineCryptFunction()
* is stored, classwide (!), here for reusing.
*
* The string-based index of $function is a classwide
* unique value representing, at least, the $mode of
* operation (or more... depends of the optimizing level)
* for which $mode the lambda function was created.
*
* @access private
* @return array &$functions
*/
function &_getLambdaFunctions()
{
static $functions = array();
return $functions;
}
/**
* Generates a digest from $bytes
*
* @see self::_setupInlineCrypt()
* @access private
* @param $bytes
* @return string
*/
function _hashInlineCryptFunction($bytes)
{
if (!defined('CRYPT_BASE_WHIRLPOOL_AVAILABLE')) {
define('CRYPT_BASE_WHIRLPOOL_AVAILABLE', (bool)(extension_loaded('hash') && in_array('whirlpool', hash_algos())));
}
$result = '';
$hash = $bytes;
switch (true) {
case CRYPT_BASE_WHIRLPOOL_AVAILABLE:
foreach (str_split($bytes, 64) as $t) {
$hash = hash('whirlpool', $hash, true);
$result .= $t ^ $hash;
}
return $result . hash('whirlpool', $hash, true);
default:
$len = strlen($bytes);
for ($i = 0; $i < $len; $i+=20) {
$t = substr($bytes, $i, 20);
$hash = pack('H*', sha1($hash));
$result .= $t ^ $hash;
}
return $result . pack('H*', sha1($hash));
}
}
}
phpseclib-1.0.5/phpseclib/Crypt/Blowfish.php 0000664 0000000 0000000 00000073032 13002723614 0021031 0 ustar 00root root 0000000 0000000
* setKey('12345678901234567890123456789012');
*
* $plaintext = str_repeat('a', 1024);
*
* echo $blowfish->decrypt($blowfish->encrypt($plaintext));
* ?>
*
*
* 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_Blowfish
* @author Jim Wigginton
* createKey());
*
* $plaintext = 'terrafrost';
*
* $rsa->loadKey($privatekey);
* $signature = $rsa->sign($plaintext);
*
* $rsa->loadKey($publickey);
* echo $rsa->verify($plaintext, $signature) ? 'verified' : 'unverified';
* ?>
*
*
* LICENSE: Permission is hereby granted, free of charge, to any person obtaining a copy
* of this software and associated documentation files (the "Software"), to deal
* in the Software without restriction, including without limitation the rights
* to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
* copies of the Software, and to permit persons to whom the Software is
* furnished to do so, subject to the following conditions:
*
* The above copyright notice and this permission notice shall be included in
* all copies or substantial portions of the Software.
*
* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
* IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
* FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
* AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
* LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
* OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
* THE SOFTWARE.
*
* @category Crypt
* @package Crypt_RSA
* @author Jim Wigginton ' . base64_encode($raw['prime1']) . "
\r\n" . '' . base64_encode($raw['prime2']) . "\r\n" . '
* echo $des->encrypt(substr($plaintext, 0, 8));
* echo $des->encrypt(substr($plaintext, 8, 8));
*
*
* echo $des->encrypt($plaintext);
*
*
* The solution is to enable the continuous buffer. Although this will resolve the above discrepancy, it creates
* another, as demonstrated with the following:
*
*
* $des->encrypt(substr($plaintext, 0, 8));
* echo $des->decrypt($des->encrypt(substr($plaintext, 8, 8)));
*
*
* echo $des->decrypt($des->encrypt(substr($plaintext, 8, 8)));
*
*
* With the continuous buffer disabled, these would yield the same output. With it enabled, they yield different
* outputs. The reason is due to the fact that the initialization vector's change after every encryption /
* decryption round when the continuous buffer is enabled. When it's disabled, they remain constant.
*
* Put another way, when the continuous buffer is enabled, the state of the Crypt_DES() object changes after each
* encryption / decryption round, whereas otherwise, it'd remain constant. For this reason, it's recommended that
* continuous buffers not be used. They do offer better security and are, in fact, sometimes required (SSH uses them),
* however, they are also less intuitive and more likely to cause you problems.
*
* @see Crypt_Base::enableContinuousBuffer()
* @see self::disableContinuousBuffer()
* @access public
*/
function enableContinuousBuffer()
{
parent::enableContinuousBuffer();
if ($this->mode_3cbc) {
$this->des[0]->enableContinuousBuffer();
$this->des[1]->enableContinuousBuffer();
$this->des[2]->enableContinuousBuffer();
}
}
/**
* Treat consecutive packets as if they are a discontinuous buffer.
*
* The default behavior.
*
* @see Crypt_Base::disableContinuousBuffer()
* @see self::enableContinuousBuffer()
* @access public
*/
function disableContinuousBuffer()
{
parent::disableContinuousBuffer();
if ($this->mode_3cbc) {
$this->des[0]->disableContinuousBuffer();
$this->des[1]->disableContinuousBuffer();
$this->des[2]->disableContinuousBuffer();
}
}
/**
* Creates the key schedule
*
* @see Crypt_DES::_setupKey()
* @see Crypt_Base::_setupKey()
* @access private
*/
function _setupKey()
{
switch (true) {
// if $key <= 64bits we configure our internal pure-php cipher engine
// to act as regular [1]DES, not as 3DES. mcrypt.so::tripledes does the same.
case strlen($this->key) <= 8:
$this->des_rounds = 1;
break;
// otherwise, if $key > 64bits, we configure our engine to work as 3DES.
default:
$this->des_rounds = 3;
// (only) if 3CBC is used we have, of course, to setup the $des[0-2] keys also separately.
if ($this->mode_3cbc) {
$this->des[0]->_setupKey();
$this->des[1]->_setupKey();
$this->des[2]->_setupKey();
// because $des[0-2] will, now, do all the work we can return here
// not need unnecessary stress parent::_setupKey() with our, now unused, $key.
return;
}
}
// setup our key
parent::_setupKey();
}
/**
* Sets the internal crypt engine
*
* @see Crypt_Base::Crypt_Base()
* @see Crypt_Base::setPreferredEngine()
* @param int $engine
* @access public
* @return int
*/
function setPreferredEngine($engine)
{
if ($this->mode_3cbc) {
$this->des[0]->setPreferredEngine($engine);
$this->des[1]->setPreferredEngine($engine);
$this->des[2]->setPreferredEngine($engine);
}
return parent::setPreferredEngine($engine);
}
}
phpseclib-1.0.5/phpseclib/Crypt/Twofish.php 0000664 0000000 0000000 00000115333 13002723614 0020700 0 ustar 00root root 0000000 0000000
* setKey('12345678901234567890123456789012');
*
* $plaintext = str_repeat('a', 1024);
*
* echo $twofish->decrypt($twofish->encrypt($plaintext));
* ?>
*
*
* 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_Twofish
* @author Jim Wigginton ' . $this->_getScreen() . ''; } /** * Returns the current screen and the x previous lines * * @access public * @return string */ function getHistory() { $scrollback = ''; $last_attr = $this->base_attr_cell; for ($i = 0; $i < count($this->history); $i++) { for ($j = 0; $j <= $this->max_x + 1; $j++) { $cur_attr = $this->history_attrs[$i][$j]; $scrollback.= $this->_processCoordinate($last_attr, $cur_attr, isset($this->history[$i][$j]) ? $this->history[$i][$j] : ''); $last_attr = $this->history_attrs[$i][$j]; } $scrollback.= "\r\n"; } $base_attr_cell = $this->base_attr_cell; $this->base_attr_cell = $last_attr; $scrollback.= $this->_getScreen(); $this->base_attr_cell = $base_attr_cell; return '
' . $scrollback . ''; } } phpseclib-1.0.5/phpseclib/File/ASN1.php 0000664 0000000 0000000 00000155630 13002723614 0017541 0 ustar 00root root 0000000 0000000 * @copyright 2012 Jim Wigginton * @license http://www.opensource.org/licenses/mit-license.html MIT License * @link http://phpseclib.sourceforge.net */ /**#@+ * Tag Classes * * @access private * @link http://www.itu.int/ITU-T/studygroups/com17/languages/X.690-0207.pdf#page=12 */ define('FILE_ASN1_CLASS_UNIVERSAL', 0); define('FILE_ASN1_CLASS_APPLICATION', 1); define('FILE_ASN1_CLASS_CONTEXT_SPECIFIC', 2); define('FILE_ASN1_CLASS_PRIVATE', 3); /**#@-*/ /**#@+ * Tag Classes * * @access private * @link http://www.obj-sys.com/asn1tutorial/node124.html */ define('FILE_ASN1_TYPE_BOOLEAN', 1); define('FILE_ASN1_TYPE_INTEGER', 2); define('FILE_ASN1_TYPE_BIT_STRING', 3); define('FILE_ASN1_TYPE_OCTET_STRING', 4); define('FILE_ASN1_TYPE_NULL', 5); define('FILE_ASN1_TYPE_OBJECT_IDENTIFIER', 6); //define('FILE_ASN1_TYPE_OBJECT_DESCRIPTOR', 7); //define('FILE_ASN1_TYPE_INSTANCE_OF', 8); // EXTERNAL define('FILE_ASN1_TYPE_REAL', 9); define('FILE_ASN1_TYPE_ENUMERATED', 10); //define('FILE_ASN1_TYPE_EMBEDDED', 11); define('FILE_ASN1_TYPE_UTF8_STRING', 12); //define('FILE_ASN1_TYPE_RELATIVE_OID', 13); define('FILE_ASN1_TYPE_SEQUENCE', 16); // SEQUENCE OF define('FILE_ASN1_TYPE_SET', 17); // SET OF /**#@-*/ /**#@+ * More Tag Classes * * @access private * @link http://www.obj-sys.com/asn1tutorial/node10.html */ define('FILE_ASN1_TYPE_NUMERIC_STRING', 18); define('FILE_ASN1_TYPE_PRINTABLE_STRING', 19); define('FILE_ASN1_TYPE_TELETEX_STRING', 20); // T61String define('FILE_ASN1_TYPE_VIDEOTEX_STRING', 21); define('FILE_ASN1_TYPE_IA5_STRING', 22); define('FILE_ASN1_TYPE_UTC_TIME', 23); define('FILE_ASN1_TYPE_GENERALIZED_TIME', 24); define('FILE_ASN1_TYPE_GRAPHIC_STRING', 25); define('FILE_ASN1_TYPE_VISIBLE_STRING', 26); // ISO646String define('FILE_ASN1_TYPE_GENERAL_STRING', 27); define('FILE_ASN1_TYPE_UNIVERSAL_STRING', 28); //define('FILE_ASN1_TYPE_CHARACTER_STRING', 29); define('FILE_ASN1_TYPE_BMP_STRING', 30); /**#@-*/ /**#@+ * Tag Aliases * * These tags are kinda place holders for other tags. * * @access private */ define('FILE_ASN1_TYPE_CHOICE', -1); define('FILE_ASN1_TYPE_ANY', -2); /**#@-*/ /** * ASN.1 Element * * Bypass normal encoding rules in File_ASN1::encodeDER() * * @package File_ASN1 * @author Jim Wigginton
* add($b);
*
* echo $c->toString(); // outputs 5
* ?>
*
*
* 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 Math
* @package Math_BigInteger
* @author Jim Wigginton
* toString(); // outputs 50
* ?>
*
*
* @param $x base-10 number or base-$base number if $base set.
* @param int $base
* @return Math_BigInteger
* @access public
*/
function __construct($x = 0, $base = 10)
{
if (!defined('MATH_BIGINTEGER_MODE')) {
switch (true) {
case extension_loaded('gmp'):
define('MATH_BIGINTEGER_MODE', MATH_BIGINTEGER_MODE_GMP);
break;
case extension_loaded('bcmath'):
define('MATH_BIGINTEGER_MODE', MATH_BIGINTEGER_MODE_BCMATH);
break;
default:
define('MATH_BIGINTEGER_MODE', MATH_BIGINTEGER_MODE_INTERNAL);
}
}
if (extension_loaded('openssl') && !defined('MATH_BIGINTEGER_OPENSSL_DISABLE') && !defined('MATH_BIGINTEGER_OPENSSL_ENABLED')) {
// 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'] == $versions['Library']:
case version_compare($versions['Header'], '1.0.0') >= 0 && version_compare($versions['Library'], '1.0.0') >= 0:
define('MATH_BIGINTEGER_OPENSSL_ENABLED', true);
break;
default:
define('MATH_BIGINTEGER_OPENSSL_DISABLE', true);
}
}
if (!defined('PHP_INT_SIZE')) {
define('PHP_INT_SIZE', 4);
}
if (!defined('MATH_BIGINTEGER_BASE') && MATH_BIGINTEGER_MODE == MATH_BIGINTEGER_MODE_INTERNAL) {
switch (PHP_INT_SIZE) {
case 8: // use 64-bit integers if int size is 8 bytes
define('MATH_BIGINTEGER_BASE', 31);
define('MATH_BIGINTEGER_BASE_FULL', 0x80000000);
define('MATH_BIGINTEGER_MAX_DIGIT', 0x7FFFFFFF);
define('MATH_BIGINTEGER_MSB', 0x40000000);
// 10**9 is the closest we can get to 2**31 without passing it
define('MATH_BIGINTEGER_MAX10', 1000000000);
define('MATH_BIGINTEGER_MAX10_LEN', 9);
// the largest digit that may be used in addition / subtraction
define('MATH_BIGINTEGER_MAX_DIGIT2', pow(2, 62));
break;
//case 4: // use 64-bit floats if int size is 4 bytes
default:
define('MATH_BIGINTEGER_BASE', 26);
define('MATH_BIGINTEGER_BASE_FULL', 0x4000000);
define('MATH_BIGINTEGER_MAX_DIGIT', 0x3FFFFFF);
define('MATH_BIGINTEGER_MSB', 0x2000000);
// 10**7 is the closest to 2**26 without passing it
define('MATH_BIGINTEGER_MAX10', 10000000);
define('MATH_BIGINTEGER_MAX10_LEN', 7);
// the largest digit that may be used in addition / subtraction
// we do pow(2, 52) instead of using 4503599627370496 directly because some
// PHP installations will truncate 4503599627370496.
define('MATH_BIGINTEGER_MAX_DIGIT2', pow(2, 52));
}
}
switch (MATH_BIGINTEGER_MODE) {
case MATH_BIGINTEGER_MODE_GMP:
switch (true) {
case is_resource($x) && get_resource_type($x) == 'GMP integer':
// PHP 5.6 switched GMP from using resources to objects
case is_object($x) && get_class($x) == 'GMP':
$this->value = $x;
return;
}
$this->value = gmp_init(0);
break;
case MATH_BIGINTEGER_MODE_BCMATH:
$this->value = '0';
break;
default:
$this->value = array();
}
// '0' counts as empty() but when the base is 256 '0' is equal to ord('0') or 48
// '0' is the only value like this per http://php.net/empty
if (empty($x) && (abs($base) != 256 || $x !== '0')) {
return;
}
switch ($base) {
case -256:
if (ord($x[0]) & 0x80) {
$x = ~$x;
$this->is_negative = true;
}
case 256:
switch (MATH_BIGINTEGER_MODE) {
case MATH_BIGINTEGER_MODE_GMP:
$sign = $this->is_negative ? '-' : '';
$this->value = gmp_init($sign . '0x' . bin2hex($x));
break;
case MATH_BIGINTEGER_MODE_BCMATH:
// round $len to the nearest 4 (thanks, DavidMJ!)
$len = (strlen($x) + 3) & 0xFFFFFFFC;
$x = str_pad($x, $len, chr(0), STR_PAD_LEFT);
for ($i = 0; $i < $len; $i+= 4) {
$this->value = bcmul($this->value, '4294967296', 0); // 4294967296 == 2**32
$this->value = bcadd($this->value, 0x1000000 * ord($x[$i]) + ((ord($x[$i + 1]) << 16) | (ord($x[$i + 2]) << 8) | ord($x[$i + 3])), 0);
}
if ($this->is_negative) {
$this->value = '-' . $this->value;
}
break;
// converts a base-2**8 (big endian / msb) number to base-2**26 (little endian / lsb)
default:
while (strlen($x)) {
$this->value[] = $this->_bytes2int($this->_base256_rshift($x, MATH_BIGINTEGER_BASE));
}
}
if ($this->is_negative) {
if (MATH_BIGINTEGER_MODE != MATH_BIGINTEGER_MODE_INTERNAL) {
$this->is_negative = false;
}
$temp = $this->add(new Math_BigInteger('-1'));
$this->value = $temp->value;
}
break;
case 16:
case -16:
if ($base > 0 && $x[0] == '-') {
$this->is_negative = true;
$x = substr($x, 1);
}
$x = preg_replace('#^(?:0x)?([A-Fa-f0-9]*).*#', '$1', $x);
$is_negative = false;
if ($base < 0 && hexdec($x[0]) >= 8) {
$this->is_negative = $is_negative = true;
$x = bin2hex(~pack('H*', $x));
}
switch (MATH_BIGINTEGER_MODE) {
case MATH_BIGINTEGER_MODE_GMP:
$temp = $this->is_negative ? '-0x' . $x : '0x' . $x;
$this->value = gmp_init($temp);
$this->is_negative = false;
break;
case MATH_BIGINTEGER_MODE_BCMATH:
$x = (strlen($x) & 1) ? '0' . $x : $x;
$temp = new Math_BigInteger(pack('H*', $x), 256);
$this->value = $this->is_negative ? '-' . $temp->value : $temp->value;
$this->is_negative = false;
break;
default:
$x = (strlen($x) & 1) ? '0' . $x : $x;
$temp = new Math_BigInteger(pack('H*', $x), 256);
$this->value = $temp->value;
}
if ($is_negative) {
$temp = $this->add(new Math_BigInteger('-1'));
$this->value = $temp->value;
}
break;
case 10:
case -10:
// (?value = gmp_init($x);
break;
case MATH_BIGINTEGER_MODE_BCMATH:
// explicitly casting $x to a string is necessary, here, since doing $x[0] on -1 yields different
// results then doing it on '-1' does (modInverse does $x[0])
$this->value = $x === '-' ? '0' : (string) $x;
break;
default:
$temp = new Math_BigInteger();
$multiplier = new Math_BigInteger();
$multiplier->value = array(MATH_BIGINTEGER_MAX10);
if ($x[0] == '-') {
$this->is_negative = true;
$x = substr($x, 1);
}
$x = str_pad($x, strlen($x) + ((MATH_BIGINTEGER_MAX10_LEN - 1) * strlen($x)) % MATH_BIGINTEGER_MAX10_LEN, 0, STR_PAD_LEFT);
while (strlen($x)) {
$temp = $temp->multiply($multiplier);
$temp = $temp->add(new Math_BigInteger($this->_int2bytes(substr($x, 0, MATH_BIGINTEGER_MAX10_LEN)), 256));
$x = substr($x, MATH_BIGINTEGER_MAX10_LEN);
}
$this->value = $temp->value;
}
break;
case 2: // base-2 support originally implemented by Lluis Pamies - thanks!
case -2:
if ($base > 0 && $x[0] == '-') {
$this->is_negative = true;
$x = substr($x, 1);
}
$x = preg_replace('#^([01]*).*#', '$1', $x);
$x = str_pad($x, strlen($x) + (3 * strlen($x)) % 4, 0, STR_PAD_LEFT);
$str = '0x';
while (strlen($x)) {
$part = substr($x, 0, 4);
$str.= dechex(bindec($part));
$x = substr($x, 4);
}
if ($this->is_negative) {
$str = '-' . $str;
}
$temp = new Math_BigInteger($str, 8 * $base); // ie. either -16 or +16
$this->value = $temp->value;
$this->is_negative = $temp->is_negative;
break;
default:
// base not supported, so we'll let $this == 0
}
}
/**
* PHP4 compatible Default Constructor.
*
* @see self::__construct()
* @param $x base-10 number or base-$base number if $base set.
* @param int $base
* @access public
*/
function Math_BigInteger($x = 0, $base = 10)
{
$this->__construct($x, $base);
}
/**
* Converts a BigInteger to a byte string (eg. base-256).
*
* Negative numbers are saved as positive numbers, unless $twos_compliment is set to true, at which point, they're
* saved as two's compliment.
*
* Here's an example:
*
* toBytes(); // outputs chr(65)
* ?>
*
*
* @param bool $twos_compliment
* @return string
* @access public
* @internal Converts a base-2**26 number to base-2**8
*/
function toBytes($twos_compliment = false)
{
if ($twos_compliment) {
$comparison = $this->compare(new Math_BigInteger());
if ($comparison == 0) {
return $this->precision > 0 ? str_repeat(chr(0), ($this->precision + 1) >> 3) : '';
}
$temp = $comparison < 0 ? $this->add(new Math_BigInteger(1)) : $this->copy();
$bytes = $temp->toBytes();
if (empty($bytes)) { // eg. if the number we're trying to convert is -1
$bytes = chr(0);
}
if (ord($bytes[0]) & 0x80) {
$bytes = chr(0) . $bytes;
}
return $comparison < 0 ? ~$bytes : $bytes;
}
switch (MATH_BIGINTEGER_MODE) {
case MATH_BIGINTEGER_MODE_GMP:
if (gmp_cmp($this->value, gmp_init(0)) == 0) {
return $this->precision > 0 ? str_repeat(chr(0), ($this->precision + 1) >> 3) : '';
}
$temp = gmp_strval(gmp_abs($this->value), 16);
$temp = (strlen($temp) & 1) ? '0' . $temp : $temp;
$temp = pack('H*', $temp);
return $this->precision > 0 ?
substr(str_pad($temp, $this->precision >> 3, chr(0), STR_PAD_LEFT), -($this->precision >> 3)) :
ltrim($temp, chr(0));
case MATH_BIGINTEGER_MODE_BCMATH:
if ($this->value === '0') {
return $this->precision > 0 ? str_repeat(chr(0), ($this->precision + 1) >> 3) : '';
}
$value = '';
$current = $this->value;
if ($current[0] == '-') {
$current = substr($current, 1);
}
while (bccomp($current, '0', 0) > 0) {
$temp = bcmod($current, '16777216');
$value = chr($temp >> 16) . chr($temp >> 8) . chr($temp) . $value;
$current = bcdiv($current, '16777216', 0);
}
return $this->precision > 0 ?
substr(str_pad($value, $this->precision >> 3, chr(0), STR_PAD_LEFT), -($this->precision >> 3)) :
ltrim($value, chr(0));
}
if (!count($this->value)) {
return $this->precision > 0 ? str_repeat(chr(0), ($this->precision + 1) >> 3) : '';
}
$result = $this->_int2bytes($this->value[count($this->value) - 1]);
$temp = $this->copy();
for ($i = count($temp->value) - 2; $i >= 0; --$i) {
$temp->_base256_lshift($result, MATH_BIGINTEGER_BASE);
$result = $result | str_pad($temp->_int2bytes($temp->value[$i]), strlen($result), chr(0), STR_PAD_LEFT);
}
return $this->precision > 0 ?
str_pad(substr($result, -(($this->precision + 7) >> 3)), ($this->precision + 7) >> 3, chr(0), STR_PAD_LEFT) :
$result;
}
/**
* Converts a BigInteger to a hex string (eg. base-16)).
*
* Negative numbers are saved as positive numbers, unless $twos_compliment is set to true, at which point, they're
* saved as two's compliment.
*
* Here's an example:
*
* toHex(); // outputs '41'
* ?>
*
*
* @param bool $twos_compliment
* @return string
* @access public
* @internal Converts a base-2**26 number to base-2**8
*/
function toHex($twos_compliment = false)
{
return bin2hex($this->toBytes($twos_compliment));
}
/**
* Converts a BigInteger to a bit string (eg. base-2).
*
* Negative numbers are saved as positive numbers, unless $twos_compliment is set to true, at which point, they're
* saved as two's compliment.
*
* Here's an example:
*
* toBits(); // outputs '1000001'
* ?>
*
*
* @param bool $twos_compliment
* @return string
* @access public
* @internal Converts a base-2**26 number to base-2**2
*/
function toBits($twos_compliment = false)
{
$hex = $this->toHex($twos_compliment);
$bits = '';
for ($i = strlen($hex) - 8, $start = strlen($hex) & 7; $i >= $start; $i-=8) {
$bits = str_pad(decbin(hexdec(substr($hex, $i, 8))), 32, '0', STR_PAD_LEFT) . $bits;
}
if ($start) { // hexdec('') == 0
$bits = str_pad(decbin(hexdec(substr($hex, 0, $start))), 8, '0', STR_PAD_LEFT) . $bits;
}
$result = $this->precision > 0 ? substr($bits, -$this->precision) : ltrim($bits, '0');
if ($twos_compliment && $this->compare(new Math_BigInteger()) > 0 && $this->precision <= 0) {
return '0' . $result;
}
return $result;
}
/**
* Converts a BigInteger to a base-10 number.
*
* Here's an example:
*
* toString(); // outputs 50
* ?>
*
*
* @return string
* @access public
* @internal Converts a base-2**26 number to base-10**7 (which is pretty much base-10)
*/
function toString()
{
switch (MATH_BIGINTEGER_MODE) {
case MATH_BIGINTEGER_MODE_GMP:
return gmp_strval($this->value);
case MATH_BIGINTEGER_MODE_BCMATH:
if ($this->value === '0') {
return '0';
}
return ltrim($this->value, '0');
}
if (!count($this->value)) {
return '0';
}
$temp = $this->copy();
$temp->is_negative = false;
$divisor = new Math_BigInteger();
$divisor->value = array(MATH_BIGINTEGER_MAX10);
$result = '';
while (count($temp->value)) {
list($temp, $mod) = $temp->divide($divisor);
$result = str_pad(isset($mod->value[0]) ? $mod->value[0] : '', MATH_BIGINTEGER_MAX10_LEN, '0', STR_PAD_LEFT) . $result;
}
$result = ltrim($result, '0');
if (empty($result)) {
$result = '0';
}
if ($this->is_negative) {
$result = '-' . $result;
}
return $result;
}
/**
* Copy an object
*
* PHP5 passes objects by reference while PHP4 passes by value. As such, we need a function to guarantee
* that all objects are passed by value, when appropriate. More information can be found here:
*
* {@link http://php.net/language.oop5.basic#51624}
*
* @access public
* @see self::__clone()
* @return Math_BigInteger
*/
function copy()
{
$temp = new Math_BigInteger();
$temp->value = $this->value;
$temp->is_negative = $this->is_negative;
$temp->precision = $this->precision;
$temp->bitmask = $this->bitmask;
return $temp;
}
/**
* __toString() magic method
*
* Will be called, automatically, if you're supporting just PHP5. If you're supporting PHP4, you'll need to call
* toString().
*
* @access public
* @internal Implemented per a suggestion by Techie-Michael - thanks!
*/
function __toString()
{
return $this->toString();
}
/**
* __clone() magic method
*
* Although you can call Math_BigInteger::__toString() directly in PHP5, you cannot call Math_BigInteger::__clone()
* directly in PHP5. You can in PHP4 since it's not a magic method, but in PHP5, you have to call it by using the PHP5
* only syntax of $y = clone $x. As such, if you're trying to write an application that works on both PHP4 and PHP5,
* call Math_BigInteger::copy(), instead.
*
* @access public
* @see self::copy()
* @return Math_BigInteger
*/
function __clone()
{
return $this->copy();
}
/**
* __sleep() magic method
*
* Will be called, automatically, when serialize() is called on a Math_BigInteger object.
*
* @see self::__wakeup()
* @access public
*/
function __sleep()
{
$this->hex = $this->toHex(true);
$vars = array('hex');
if ($this->precision > 0) {
$vars[] = 'precision';
}
return $vars;
}
/**
* __wakeup() magic method
*
* Will be called, automatically, when unserialize() is called on a Math_BigInteger object.
*
* @see self::__sleep()
* @access public
*/
function __wakeup()
{
$temp = new Math_BigInteger($this->hex, -16);
$this->value = $temp->value;
$this->is_negative = $temp->is_negative;
if ($this->precision > 0) {
// recalculate $this->bitmask
$this->setPrecision($this->precision);
}
}
/**
* __debugInfo() magic method
*
* Will be called, automatically, when print_r() or var_dump() are called
*
* @access public
*/
function __debugInfo()
{
$opts = array();
switch (MATH_BIGINTEGER_MODE) {
case MATH_BIGINTEGER_MODE_GMP:
$engine = 'gmp';
break;
case MATH_BIGINTEGER_MODE_BCMATH:
$engine = 'bcmath';
break;
case MATH_BIGINTEGER_MODE_INTERNAL:
$engine = 'internal';
$opts[] = PHP_INT_SIZE == 8 ? '64-bit' : '32-bit';
}
if (MATH_BIGINTEGER_MODE != MATH_BIGINTEGER_MODE_GMP && defined('MATH_BIGINTEGER_OPENSSL_ENABLED')) {
$opts[] = 'OpenSSL';
}
if (!empty($opts)) {
$engine.= ' (' . implode($opts, ', ') . ')';
}
return array(
'value' => '0x' . $this->toHex(true),
'engine' => $engine
);
}
/**
* Adds two BigIntegers.
*
* Here's an example:
*
* add($b);
*
* echo $c->toString(); // outputs 30
* ?>
*
*
* @param Math_BigInteger $y
* @return Math_BigInteger
* @access public
* @internal Performs base-2**52 addition
*/
function add($y)
{
switch (MATH_BIGINTEGER_MODE) {
case MATH_BIGINTEGER_MODE_GMP:
$temp = new Math_BigInteger();
$temp->value = gmp_add($this->value, $y->value);
return $this->_normalize($temp);
case MATH_BIGINTEGER_MODE_BCMATH:
$temp = new Math_BigInteger();
$temp->value = bcadd($this->value, $y->value, 0);
return $this->_normalize($temp);
}
$temp = $this->_add($this->value, $this->is_negative, $y->value, $y->is_negative);
$result = new Math_BigInteger();
$result->value = $temp[MATH_BIGINTEGER_VALUE];
$result->is_negative = $temp[MATH_BIGINTEGER_SIGN];
return $this->_normalize($result);
}
/**
* Performs addition.
*
* @param array $x_value
* @param bool $x_negative
* @param array $y_value
* @param bool $y_negative
* @return array
* @access private
*/
function _add($x_value, $x_negative, $y_value, $y_negative)
{
$x_size = count($x_value);
$y_size = count($y_value);
if ($x_size == 0) {
return array(
MATH_BIGINTEGER_VALUE => $y_value,
MATH_BIGINTEGER_SIGN => $y_negative
);
} elseif ($y_size == 0) {
return array(
MATH_BIGINTEGER_VALUE => $x_value,
MATH_BIGINTEGER_SIGN => $x_negative
);
}
// subtract, if appropriate
if ($x_negative != $y_negative) {
if ($x_value == $y_value) {
return array(
MATH_BIGINTEGER_VALUE => array(),
MATH_BIGINTEGER_SIGN => false
);
}
$temp = $this->_subtract($x_value, false, $y_value, false);
$temp[MATH_BIGINTEGER_SIGN] = $this->_compare($x_value, false, $y_value, false) > 0 ?
$x_negative : $y_negative;
return $temp;
}
if ($x_size < $y_size) {
$size = $x_size;
$value = $y_value;
} else {
$size = $y_size;
$value = $x_value;
}
$value[count($value)] = 0; // just in case the carry adds an extra digit
$carry = 0;
for ($i = 0, $j = 1; $j < $size; $i+=2, $j+=2) {
$sum = $x_value[$j] * MATH_BIGINTEGER_BASE_FULL + $x_value[$i] + $y_value[$j] * MATH_BIGINTEGER_BASE_FULL + $y_value[$i] + $carry;
$carry = $sum >= MATH_BIGINTEGER_MAX_DIGIT2; // eg. floor($sum / 2**52); only possible values (in any base) are 0 and 1
$sum = $carry ? $sum - MATH_BIGINTEGER_MAX_DIGIT2 : $sum;
$temp = MATH_BIGINTEGER_BASE === 26 ? intval($sum / 0x4000000) : ($sum >> 31);
$value[$i] = (int) ($sum - MATH_BIGINTEGER_BASE_FULL * $temp); // eg. a faster alternative to fmod($sum, 0x4000000)
$value[$j] = $temp;
}
if ($j == $size) { // ie. if $y_size is odd
$sum = $x_value[$i] + $y_value[$i] + $carry;
$carry = $sum >= MATH_BIGINTEGER_BASE_FULL;
$value[$i] = $carry ? $sum - MATH_BIGINTEGER_BASE_FULL : $sum;
++$i; // ie. let $i = $j since we've just done $value[$i]
}
if ($carry) {
for (; $value[$i] == MATH_BIGINTEGER_MAX_DIGIT; ++$i) {
$value[$i] = 0;
}
++$value[$i];
}
return array(
MATH_BIGINTEGER_VALUE => $this->_trim($value),
MATH_BIGINTEGER_SIGN => $x_negative
);
}
/**
* Subtracts two BigIntegers.
*
* Here's an example:
*
* subtract($b);
*
* echo $c->toString(); // outputs -10
* ?>
*
*
* @param Math_BigInteger $y
* @return Math_BigInteger
* @access public
* @internal Performs base-2**52 subtraction
*/
function subtract($y)
{
switch (MATH_BIGINTEGER_MODE) {
case MATH_BIGINTEGER_MODE_GMP:
$temp = new Math_BigInteger();
$temp->value = gmp_sub($this->value, $y->value);
return $this->_normalize($temp);
case MATH_BIGINTEGER_MODE_BCMATH:
$temp = new Math_BigInteger();
$temp->value = bcsub($this->value, $y->value, 0);
return $this->_normalize($temp);
}
$temp = $this->_subtract($this->value, $this->is_negative, $y->value, $y->is_negative);
$result = new Math_BigInteger();
$result->value = $temp[MATH_BIGINTEGER_VALUE];
$result->is_negative = $temp[MATH_BIGINTEGER_SIGN];
return $this->_normalize($result);
}
/**
* Performs subtraction.
*
* @param array $x_value
* @param bool $x_negative
* @param array $y_value
* @param bool $y_negative
* @return array
* @access private
*/
function _subtract($x_value, $x_negative, $y_value, $y_negative)
{
$x_size = count($x_value);
$y_size = count($y_value);
if ($x_size == 0) {
return array(
MATH_BIGINTEGER_VALUE => $y_value,
MATH_BIGINTEGER_SIGN => !$y_negative
);
} elseif ($y_size == 0) {
return array(
MATH_BIGINTEGER_VALUE => $x_value,
MATH_BIGINTEGER_SIGN => $x_negative
);
}
// add, if appropriate (ie. -$x - +$y or +$x - -$y)
if ($x_negative != $y_negative) {
$temp = $this->_add($x_value, false, $y_value, false);
$temp[MATH_BIGINTEGER_SIGN] = $x_negative;
return $temp;
}
$diff = $this->_compare($x_value, $x_negative, $y_value, $y_negative);
if (!$diff) {
return array(
MATH_BIGINTEGER_VALUE => array(),
MATH_BIGINTEGER_SIGN => false
);
}
// switch $x and $y around, if appropriate.
if ((!$x_negative && $diff < 0) || ($x_negative && $diff > 0)) {
$temp = $x_value;
$x_value = $y_value;
$y_value = $temp;
$x_negative = !$x_negative;
$x_size = count($x_value);
$y_size = count($y_value);
}
// at this point, $x_value should be at least as big as - if not bigger than - $y_value
$carry = 0;
for ($i = 0, $j = 1; $j < $y_size; $i+=2, $j+=2) {
$sum = $x_value[$j] * MATH_BIGINTEGER_BASE_FULL + $x_value[$i] - $y_value[$j] * MATH_BIGINTEGER_BASE_FULL - $y_value[$i] - $carry;
$carry = $sum < 0; // eg. floor($sum / 2**52); only possible values (in any base) are 0 and 1
$sum = $carry ? $sum + MATH_BIGINTEGER_MAX_DIGIT2 : $sum;
$temp = MATH_BIGINTEGER_BASE === 26 ? intval($sum / 0x4000000) : ($sum >> 31);
$x_value[$i] = (int) ($sum - MATH_BIGINTEGER_BASE_FULL * $temp);
$x_value[$j] = $temp;
}
if ($j == $y_size) { // ie. if $y_size is odd
$sum = $x_value[$i] - $y_value[$i] - $carry;
$carry = $sum < 0;
$x_value[$i] = $carry ? $sum + MATH_BIGINTEGER_BASE_FULL : $sum;
++$i;
}
if ($carry) {
for (; !$x_value[$i]; ++$i) {
$x_value[$i] = MATH_BIGINTEGER_MAX_DIGIT;
}
--$x_value[$i];
}
return array(
MATH_BIGINTEGER_VALUE => $this->_trim($x_value),
MATH_BIGINTEGER_SIGN => $x_negative
);
}
/**
* Multiplies two BigIntegers
*
* Here's an example:
*
* multiply($b);
*
* echo $c->toString(); // outputs 200
* ?>
*
*
* @param Math_BigInteger $x
* @return Math_BigInteger
* @access public
*/
function multiply($x)
{
switch (MATH_BIGINTEGER_MODE) {
case MATH_BIGINTEGER_MODE_GMP:
$temp = new Math_BigInteger();
$temp->value = gmp_mul($this->value, $x->value);
return $this->_normalize($temp);
case MATH_BIGINTEGER_MODE_BCMATH:
$temp = new Math_BigInteger();
$temp->value = bcmul($this->value, $x->value, 0);
return $this->_normalize($temp);
}
$temp = $this->_multiply($this->value, $this->is_negative, $x->value, $x->is_negative);
$product = new Math_BigInteger();
$product->value = $temp[MATH_BIGINTEGER_VALUE];
$product->is_negative = $temp[MATH_BIGINTEGER_SIGN];
return $this->_normalize($product);
}
/**
* Performs multiplication.
*
* @param array $x_value
* @param bool $x_negative
* @param array $y_value
* @param bool $y_negative
* @return array
* @access private
*/
function _multiply($x_value, $x_negative, $y_value, $y_negative)
{
//if ( $x_value == $y_value ) {
// return array(
// MATH_BIGINTEGER_VALUE => $this->_square($x_value),
// MATH_BIGINTEGER_SIGN => $x_sign != $y_value
// );
//}
$x_length = count($x_value);
$y_length = count($y_value);
if (!$x_length || !$y_length) { // a 0 is being multiplied
return array(
MATH_BIGINTEGER_VALUE => array(),
MATH_BIGINTEGER_SIGN => false
);
}
return array(
MATH_BIGINTEGER_VALUE => min($x_length, $y_length) < 2 * MATH_BIGINTEGER_KARATSUBA_CUTOFF ?
$this->_trim($this->_regularMultiply($x_value, $y_value)) :
$this->_trim($this->_karatsuba($x_value, $y_value)),
MATH_BIGINTEGER_SIGN => $x_negative != $y_negative
);
}
/**
* Performs long multiplication on two BigIntegers
*
* Modeled after 'multiply' in MutableBigInteger.java.
*
* @param array $x_value
* @param array $y_value
* @return array
* @access private
*/
function _regularMultiply($x_value, $y_value)
{
$x_length = count($x_value);
$y_length = count($y_value);
if (!$x_length || !$y_length) { // a 0 is being multiplied
return array();
}
if ($x_length < $y_length) {
$temp = $x_value;
$x_value = $y_value;
$y_value = $temp;
$x_length = count($x_value);
$y_length = count($y_value);
}
$product_value = $this->_array_repeat(0, $x_length + $y_length);
// the following for loop could be removed if the for loop following it
// (the one with nested for loops) initially set $i to 0, but
// doing so would also make the result in one set of unnecessary adds,
// since on the outermost loops first pass, $product->value[$k] is going
// to always be 0
$carry = 0;
for ($j = 0; $j < $x_length; ++$j) { // ie. $i = 0
$temp = $x_value[$j] * $y_value[0] + $carry; // $product_value[$k] == 0
$carry = MATH_BIGINTEGER_BASE === 26 ? intval($temp / 0x4000000) : ($temp >> 31);
$product_value[$j] = (int) ($temp - MATH_BIGINTEGER_BASE_FULL * $carry);
}
$product_value[$j] = $carry;
// the above for loop is what the previous comment was talking about. the
// following for loop is the "one with nested for loops"
for ($i = 1; $i < $y_length; ++$i) {
$carry = 0;
for ($j = 0, $k = $i; $j < $x_length; ++$j, ++$k) {
$temp = $product_value[$k] + $x_value[$j] * $y_value[$i] + $carry;
$carry = MATH_BIGINTEGER_BASE === 26 ? intval($temp / 0x4000000) : ($temp >> 31);
$product_value[$k] = (int) ($temp - MATH_BIGINTEGER_BASE_FULL * $carry);
}
$product_value[$k] = $carry;
}
return $product_value;
}
/**
* Performs Karatsuba multiplication on two BigIntegers
*
* See {@link http://en.wikipedia.org/wiki/Karatsuba_algorithm Karatsuba algorithm} and
* {@link http://math.libtomcrypt.com/files/tommath.pdf#page=120 MPM 5.2.3}.
*
* @param array $x_value
* @param array $y_value
* @return array
* @access private
*/
function _karatsuba($x_value, $y_value)
{
$m = min(count($x_value) >> 1, count($y_value) >> 1);
if ($m < MATH_BIGINTEGER_KARATSUBA_CUTOFF) {
return $this->_regularMultiply($x_value, $y_value);
}
$x1 = array_slice($x_value, $m);
$x0 = array_slice($x_value, 0, $m);
$y1 = array_slice($y_value, $m);
$y0 = array_slice($y_value, 0, $m);
$z2 = $this->_karatsuba($x1, $y1);
$z0 = $this->_karatsuba($x0, $y0);
$z1 = $this->_add($x1, false, $x0, false);
$temp = $this->_add($y1, false, $y0, false);
$z1 = $this->_karatsuba($z1[MATH_BIGINTEGER_VALUE], $temp[MATH_BIGINTEGER_VALUE]);
$temp = $this->_add($z2, false, $z0, false);
$z1 = $this->_subtract($z1, false, $temp[MATH_BIGINTEGER_VALUE], false);
$z2 = array_merge(array_fill(0, 2 * $m, 0), $z2);
$z1[MATH_BIGINTEGER_VALUE] = array_merge(array_fill(0, $m, 0), $z1[MATH_BIGINTEGER_VALUE]);
$xy = $this->_add($z2, false, $z1[MATH_BIGINTEGER_VALUE], $z1[MATH_BIGINTEGER_SIGN]);
$xy = $this->_add($xy[MATH_BIGINTEGER_VALUE], $xy[MATH_BIGINTEGER_SIGN], $z0, false);
return $xy[MATH_BIGINTEGER_VALUE];
}
/**
* Performs squaring
*
* @param array $x
* @return array
* @access private
*/
function _square($x = false)
{
return count($x) < 2 * MATH_BIGINTEGER_KARATSUBA_CUTOFF ?
$this->_trim($this->_baseSquare($x)) :
$this->_trim($this->_karatsubaSquare($x));
}
/**
* Performs traditional squaring on two BigIntegers
*
* Squaring can be done faster than multiplying a number by itself can be. See
* {@link http://www.cacr.math.uwaterloo.ca/hac/about/chap14.pdf#page=7 HAC 14.2.4} /
* {@link http://math.libtomcrypt.com/files/tommath.pdf#page=141 MPM 5.3} for more information.
*
* @param array $value
* @return array
* @access private
*/
function _baseSquare($value)
{
if (empty($value)) {
return array();
}
$square_value = $this->_array_repeat(0, 2 * count($value));
for ($i = 0, $max_index = count($value) - 1; $i <= $max_index; ++$i) {
$i2 = $i << 1;
$temp = $square_value[$i2] + $value[$i] * $value[$i];
$carry = MATH_BIGINTEGER_BASE === 26 ? intval($temp / 0x4000000) : ($temp >> 31);
$square_value[$i2] = (int) ($temp - MATH_BIGINTEGER_BASE_FULL * $carry);
// note how we start from $i+1 instead of 0 as we do in multiplication.
for ($j = $i + 1, $k = $i2 + 1; $j <= $max_index; ++$j, ++$k) {
$temp = $square_value[$k] + 2 * $value[$j] * $value[$i] + $carry;
$carry = MATH_BIGINTEGER_BASE === 26 ? intval($temp / 0x4000000) : ($temp >> 31);
$square_value[$k] = (int) ($temp - MATH_BIGINTEGER_BASE_FULL * $carry);
}
// the following line can yield values larger 2**15. at this point, PHP should switch
// over to floats.
$square_value[$i + $max_index + 1] = $carry;
}
return $square_value;
}
/**
* Performs Karatsuba "squaring" on two BigIntegers
*
* See {@link http://en.wikipedia.org/wiki/Karatsuba_algorithm Karatsuba algorithm} and
* {@link http://math.libtomcrypt.com/files/tommath.pdf#page=151 MPM 5.3.4}.
*
* @param array $value
* @return array
* @access private
*/
function _karatsubaSquare($value)
{
$m = count($value) >> 1;
if ($m < MATH_BIGINTEGER_KARATSUBA_CUTOFF) {
return $this->_baseSquare($value);
}
$x1 = array_slice($value, $m);
$x0 = array_slice($value, 0, $m);
$z2 = $this->_karatsubaSquare($x1);
$z0 = $this->_karatsubaSquare($x0);
$z1 = $this->_add($x1, false, $x0, false);
$z1 = $this->_karatsubaSquare($z1[MATH_BIGINTEGER_VALUE]);
$temp = $this->_add($z2, false, $z0, false);
$z1 = $this->_subtract($z1, false, $temp[MATH_BIGINTEGER_VALUE], false);
$z2 = array_merge(array_fill(0, 2 * $m, 0), $z2);
$z1[MATH_BIGINTEGER_VALUE] = array_merge(array_fill(0, $m, 0), $z1[MATH_BIGINTEGER_VALUE]);
$xx = $this->_add($z2, false, $z1[MATH_BIGINTEGER_VALUE], $z1[MATH_BIGINTEGER_SIGN]);
$xx = $this->_add($xx[MATH_BIGINTEGER_VALUE], $xx[MATH_BIGINTEGER_SIGN], $z0, false);
return $xx[MATH_BIGINTEGER_VALUE];
}
/**
* Divides two BigIntegers.
*
* Returns an array whose first element contains the quotient and whose second element contains the
* "common residue". If the remainder would be positive, the "common residue" and the remainder are the
* same. If the remainder would be negative, the "common residue" is equal to the sum of the remainder
* and the divisor (basically, the "common residue" is the first positive modulo).
*
* Here's an example:
*
* divide($b);
*
* echo $quotient->toString(); // outputs 0
* echo "\r\n";
* echo $remainder->toString(); // outputs 10
* ?>
*
*
* @param Math_BigInteger $y
* @return array
* @access public
* @internal This function is based off of {@link http://www.cacr.math.uwaterloo.ca/hac/about/chap14.pdf#page=9 HAC 14.20}.
*/
function divide($y)
{
switch (MATH_BIGINTEGER_MODE) {
case MATH_BIGINTEGER_MODE_GMP:
$quotient = new Math_BigInteger();
$remainder = new Math_BigInteger();
list($quotient->value, $remainder->value) = gmp_div_qr($this->value, $y->value);
if (gmp_sign($remainder->value) < 0) {
$remainder->value = gmp_add($remainder->value, gmp_abs($y->value));
}
return array($this->_normalize($quotient), $this->_normalize($remainder));
case MATH_BIGINTEGER_MODE_BCMATH:
$quotient = new Math_BigInteger();
$remainder = new Math_BigInteger();
$quotient->value = bcdiv($this->value, $y->value, 0);
$remainder->value = bcmod($this->value, $y->value);
if ($remainder->value[0] == '-') {
$remainder->value = bcadd($remainder->value, $y->value[0] == '-' ? substr($y->value, 1) : $y->value, 0);
}
return array($this->_normalize($quotient), $this->_normalize($remainder));
}
if (count($y->value) == 1) {
list($q, $r) = $this->_divide_digit($this->value, $y->value[0]);
$quotient = new Math_BigInteger();
$remainder = new Math_BigInteger();
$quotient->value = $q;
$remainder->value = array($r);
$quotient->is_negative = $this->is_negative != $y->is_negative;
return array($this->_normalize($quotient), $this->_normalize($remainder));
}
static $zero;
if (!isset($zero)) {
$zero = new Math_BigInteger();
}
$x = $this->copy();
$y = $y->copy();
$x_sign = $x->is_negative;
$y_sign = $y->is_negative;
$x->is_negative = $y->is_negative = false;
$diff = $x->compare($y);
if (!$diff) {
$temp = new Math_BigInteger();
$temp->value = array(1);
$temp->is_negative = $x_sign != $y_sign;
return array($this->_normalize($temp), $this->_normalize(new Math_BigInteger()));
}
if ($diff < 0) {
// if $x is negative, "add" $y.
if ($x_sign) {
$x = $y->subtract($x);
}
return array($this->_normalize(new Math_BigInteger()), $this->_normalize($x));
}
// normalize $x and $y as described in HAC 14.23 / 14.24
$msb = $y->value[count($y->value) - 1];
for ($shift = 0; !($msb & MATH_BIGINTEGER_MSB); ++$shift) {
$msb <<= 1;
}
$x->_lshift($shift);
$y->_lshift($shift);
$y_value = &$y->value;
$x_max = count($x->value) - 1;
$y_max = count($y->value) - 1;
$quotient = new Math_BigInteger();
$quotient_value = &$quotient->value;
$quotient_value = $this->_array_repeat(0, $x_max - $y_max + 1);
static $temp, $lhs, $rhs;
if (!isset($temp)) {
$temp = new Math_BigInteger();
$lhs = new Math_BigInteger();
$rhs = new Math_BigInteger();
}
$temp_value = &$temp->value;
$rhs_value = &$rhs->value;
// $temp = $y << ($x_max - $y_max-1) in base 2**26
$temp_value = array_merge($this->_array_repeat(0, $x_max - $y_max), $y_value);
while ($x->compare($temp) >= 0) {
// calculate the "common residue"
++$quotient_value[$x_max - $y_max];
$x = $x->subtract($temp);
$x_max = count($x->value) - 1;
}
for ($i = $x_max; $i >= $y_max + 1; --$i) {
$x_value = &$x->value;
$x_window = array(
isset($x_value[$i]) ? $x_value[$i] : 0,
isset($x_value[$i - 1]) ? $x_value[$i - 1] : 0,
isset($x_value[$i - 2]) ? $x_value[$i - 2] : 0
);
$y_window = array(
$y_value[$y_max],
($y_max > 0) ? $y_value[$y_max - 1] : 0
);
$q_index = $i - $y_max - 1;
if ($x_window[0] == $y_window[0]) {
$quotient_value[$q_index] = MATH_BIGINTEGER_MAX_DIGIT;
} else {
$quotient_value[$q_index] = $this->_safe_divide(
$x_window[0] * MATH_BIGINTEGER_BASE_FULL + $x_window[1],
$y_window[0]
);
}
$temp_value = array($y_window[1], $y_window[0]);
$lhs->value = array($quotient_value[$q_index]);
$lhs = $lhs->multiply($temp);
$rhs_value = array($x_window[2], $x_window[1], $x_window[0]);
while ($lhs->compare($rhs) > 0) {
--$quotient_value[$q_index];
$lhs->value = array($quotient_value[$q_index]);
$lhs = $lhs->multiply($temp);
}
$adjust = $this->_array_repeat(0, $q_index);
$temp_value = array($quotient_value[$q_index]);
$temp = $temp->multiply($y);
$temp_value = &$temp->value;
$temp_value = array_merge($adjust, $temp_value);
$x = $x->subtract($temp);
if ($x->compare($zero) < 0) {
$temp_value = array_merge($adjust, $y_value);
$x = $x->add($temp);
--$quotient_value[$q_index];
}
$x_max = count($x_value) - 1;
}
// unnormalize the remainder
$x->_rshift($shift);
$quotient->is_negative = $x_sign != $y_sign;
// calculate the "common residue", if appropriate
if ($x_sign) {
$y->_rshift($shift);
$x = $y->subtract($x);
}
return array($this->_normalize($quotient), $this->_normalize($x));
}
/**
* Divides a BigInteger by a regular integer
*
* abc / x = a00 / x + b0 / x + c / x
*
* @param array $dividend
* @param array $divisor
* @return array
* @access private
*/
function _divide_digit($dividend, $divisor)
{
$carry = 0;
$result = array();
for ($i = count($dividend) - 1; $i >= 0; --$i) {
$temp = MATH_BIGINTEGER_BASE_FULL * $carry + $dividend[$i];
$result[$i] = $this->_safe_divide($temp, $divisor);
$carry = (int) ($temp - $divisor * $result[$i]);
}
return array($result, $carry);
}
/**
* Performs modular exponentiation.
*
* Here's an example:
*
* modPow($b, $c);
*
* echo $c->toString(); // outputs 10
* ?>
*
*
* @param Math_BigInteger $e
* @param Math_BigInteger $n
* @return Math_BigInteger
* @access public
* @internal The most naive approach to modular exponentiation has very unreasonable requirements, and
* and although the approach involving repeated squaring does vastly better, it, too, is impractical
* for our purposes. The reason being that division - by far the most complicated and time-consuming
* of the basic operations (eg. +,-,*,/) - occurs multiple times within it.
*
* Modular reductions resolve this issue. Although an individual modular reduction takes more time
* then an individual division, when performed in succession (with the same modulo), they're a lot faster.
*
* The two most commonly used modular reductions are Barrett and Montgomery reduction. Montgomery reduction,
* although faster, only works when the gcd of the modulo and of the base being used is 1. In RSA, when the
* base is a power of two, the modulo - a product of two primes - is always going to have a gcd of 1 (because
* the product of two odd numbers is odd), but what about when RSA isn't used?
*
* In contrast, Barrett reduction has no such constraint. As such, some bigint implementations perform a
* Barrett reduction after every operation in the modpow function. Others perform Barrett reductions when the
* modulo is even and Montgomery reductions when the modulo is odd. BigInteger.java's modPow method, however,
* uses a trick involving the Chinese Remainder Theorem to factor the even modulo into two numbers - one odd and
* the other, a power of two - and recombine them, later. This is the method that this modPow function uses.
* {@link http://islab.oregonstate.edu/papers/j34monex.pdf Montgomery Reduction with Even Modulus} elaborates.
*/
function modPow($e, $n)
{
$n = $this->bitmask !== false && $this->bitmask->compare($n) < 0 ? $this->bitmask : $n->abs();
if ($e->compare(new Math_BigInteger()) < 0) {
$e = $e->abs();
$temp = $this->modInverse($n);
if ($temp === false) {
return false;
}
return $this->_normalize($temp->modPow($e, $n));
}
if (MATH_BIGINTEGER_MODE == MATH_BIGINTEGER_MODE_GMP) {
$temp = new Math_BigInteger();
$temp->value = gmp_powm($this->value, $e->value, $n->value);
return $this->_normalize($temp);
}
if ($this->compare(new Math_BigInteger()) < 0 || $this->compare($n) > 0) {
list(, $temp) = $this->divide($n);
return $temp->modPow($e, $n);
}
if (defined('MATH_BIGINTEGER_OPENSSL_ENABLED')) {
$components = array(
'modulus' => $n->toBytes(true),
'publicExponent' => $e->toBytes(true)
);
$components = array(
'modulus' => pack('Ca*a*', 2, $this->_encodeASN1Length(strlen($components['modulus'])), $components['modulus']),
'publicExponent' => pack('Ca*a*', 2, $this->_encodeASN1Length(strlen($components['publicExponent'])), $components['publicExponent'])
);
$RSAPublicKey = pack(
'Ca*a*a*',
48,
$this->_encodeASN1Length(strlen($components['modulus']) + strlen($components['publicExponent'])),
$components['modulus'],
$components['publicExponent']
);
$rsaOID = pack('H*', '300d06092a864886f70d0101010500'); // hex version of MA0GCSqGSIb3DQEBAQUA
$RSAPublicKey = chr(0) . $RSAPublicKey;
$RSAPublicKey = chr(3) . $this->_encodeASN1Length(strlen($RSAPublicKey)) . $RSAPublicKey;
$encapsulated = pack(
'Ca*a*',
48,
$this->_encodeASN1Length(strlen($rsaOID . $RSAPublicKey)),
$rsaOID . $RSAPublicKey
);
$RSAPublicKey = "-----BEGIN PUBLIC KEY-----\r\n" .
chunk_split(base64_encode($encapsulated)) .
'-----END PUBLIC KEY-----';
$plaintext = str_pad($this->toBytes(), strlen($n->toBytes(true)) - 1, "\0", STR_PAD_LEFT);
if (openssl_public_encrypt($plaintext, $result, $RSAPublicKey, OPENSSL_NO_PADDING)) {
return new Math_BigInteger($result, 256);
}
}
if (MATH_BIGINTEGER_MODE == MATH_BIGINTEGER_MODE_BCMATH) {
$temp = new Math_BigInteger();
$temp->value = bcpowmod($this->value, $e->value, $n->value, 0);
return $this->_normalize($temp);
}
if (empty($e->value)) {
$temp = new Math_BigInteger();
$temp->value = array(1);
return $this->_normalize($temp);
}
if ($e->value == array(1)) {
list(, $temp) = $this->divide($n);
return $this->_normalize($temp);
}
if ($e->value == array(2)) {
$temp = new Math_BigInteger();
$temp->value = $this->_square($this->value);
list(, $temp) = $temp->divide($n);
return $this->_normalize($temp);
}
return $this->_normalize($this->_slidingWindow($e, $n, MATH_BIGINTEGER_BARRETT));
// the following code, although not callable, can be run independently of the above code
// although the above code performed better in my benchmarks the following could might
// perform better under different circumstances. in lieu of deleting it it's just been
// made uncallable
// is the modulo odd?
if ($n->value[0] & 1) {
return $this->_normalize($this->_slidingWindow($e, $n, MATH_BIGINTEGER_MONTGOMERY));
}
// if it's not, it's even
// find the lowest set bit (eg. the max pow of 2 that divides $n)
for ($i = 0; $i < count($n->value); ++$i) {
if ($n->value[$i]) {
$temp = decbin($n->value[$i]);
$j = strlen($temp) - strrpos($temp, '1') - 1;
$j+= 26 * $i;
break;
}
}
// at this point, 2^$j * $n/(2^$j) == $n
$mod1 = $n->copy();
$mod1->_rshift($j);
$mod2 = new Math_BigInteger();
$mod2->value = array(1);
$mod2->_lshift($j);
$part1 = ($mod1->value != array(1)) ? $this->_slidingWindow($e, $mod1, MATH_BIGINTEGER_MONTGOMERY) : new Math_BigInteger();
$part2 = $this->_slidingWindow($e, $mod2, MATH_BIGINTEGER_POWEROF2);
$y1 = $mod2->modInverse($mod1);
$y2 = $mod1->modInverse($mod2);
$result = $part1->multiply($mod2);
$result = $result->multiply($y1);
$temp = $part2->multiply($mod1);
$temp = $temp->multiply($y2);
$result = $result->add($temp);
list(, $result) = $result->divide($n);
return $this->_normalize($result);
}
/**
* Performs modular exponentiation.
*
* Alias for Math_BigInteger::modPow()
*
* @param Math_BigInteger $e
* @param Math_BigInteger $n
* @return Math_BigInteger
* @access public
*/
function powMod($e, $n)
{
return $this->modPow($e, $n);
}
/**
* Sliding Window k-ary Modular Exponentiation
*
* Based on {@link http://www.cacr.math.uwaterloo.ca/hac/about/chap14.pdf#page=27 HAC 14.85} /
* {@link http://math.libtomcrypt.com/files/tommath.pdf#page=210 MPM 7.7}. In a departure from those algorithims,
* however, this function performs a modular reduction after every multiplication and squaring operation.
* As such, this function has the same preconditions that the reductions being used do.
*
* @param Math_BigInteger $e
* @param Math_BigInteger $n
* @param int $mode
* @return Math_BigInteger
* @access private
*/
function _slidingWindow($e, $n, $mode)
{
static $window_ranges = array(7, 25, 81, 241, 673, 1793); // from BigInteger.java's oddModPow function
//static $window_ranges = array(0, 7, 36, 140, 450, 1303, 3529); // from MPM 7.3.1
$e_value = $e->value;
$e_length = count($e_value) - 1;
$e_bits = decbin($e_value[$e_length]);
for ($i = $e_length - 1; $i >= 0; --$i) {
$e_bits.= str_pad(decbin($e_value[$i]), MATH_BIGINTEGER_BASE, '0', STR_PAD_LEFT);
}
$e_length = strlen($e_bits);
// calculate the appropriate window size.
// $window_size == 3 if $window_ranges is between 25 and 81, for example.
for ($i = 0, $window_size = 1; $i < count($window_ranges) && $e_length > $window_ranges[$i]; ++$window_size, ++$i) {
}
$n_value = $n->value;
// precompute $this^0 through $this^$window_size
$powers = array();
$powers[1] = $this->_prepareReduce($this->value, $n_value, $mode);
$powers[2] = $this->_squareReduce($powers[1], $n_value, $mode);
// we do every other number since substr($e_bits, $i, $j+1) (see below) is supposed to end
// in a 1. ie. it's supposed to be odd.
$temp = 1 << ($window_size - 1);
for ($i = 1; $i < $temp; ++$i) {
$i2 = $i << 1;
$powers[$i2 + 1] = $this->_multiplyReduce($powers[$i2 - 1], $powers[2], $n_value, $mode);
}
$result = array(1);
$result = $this->_prepareReduce($result, $n_value, $mode);
for ($i = 0; $i < $e_length;) {
if (!$e_bits[$i]) {
$result = $this->_squareReduce($result, $n_value, $mode);
++$i;
} else {
for ($j = $window_size - 1; $j > 0; --$j) {
if (!empty($e_bits[$i + $j])) {
break;
}
}
// eg. the length of substr($e_bits, $i, $j + 1)
for ($k = 0; $k <= $j; ++$k) {
$result = $this->_squareReduce($result, $n_value, $mode);
}
$result = $this->_multiplyReduce($result, $powers[bindec(substr($e_bits, $i, $j + 1))], $n_value, $mode);
$i += $j + 1;
}
}
$temp = new Math_BigInteger();
$temp->value = $this->_reduce($result, $n_value, $mode);
return $temp;
}
/**
* Modular reduction
*
* For most $modes this will return the remainder.
*
* @see self::_slidingWindow()
* @access private
* @param array $x
* @param array $n
* @param int $mode
* @return array
*/
function _reduce($x, $n, $mode)
{
switch ($mode) {
case MATH_BIGINTEGER_MONTGOMERY:
return $this->_montgomery($x, $n);
case MATH_BIGINTEGER_BARRETT:
return $this->_barrett($x, $n);
case MATH_BIGINTEGER_POWEROF2:
$lhs = new Math_BigInteger();
$lhs->value = $x;
$rhs = new Math_BigInteger();
$rhs->value = $n;
return $x->_mod2($n);
case MATH_BIGINTEGER_CLASSIC:
$lhs = new Math_BigInteger();
$lhs->value = $x;
$rhs = new Math_BigInteger();
$rhs->value = $n;
list(, $temp) = $lhs->divide($rhs);
return $temp->value;
case MATH_BIGINTEGER_NONE:
return $x;
default:
// an invalid $mode was provided
}
}
/**
* Modular reduction preperation
*
* @see self::_slidingWindow()
* @access private
* @param array $x
* @param array $n
* @param int $mode
* @return array
*/
function _prepareReduce($x, $n, $mode)
{
if ($mode == MATH_BIGINTEGER_MONTGOMERY) {
return $this->_prepMontgomery($x, $n);
}
return $this->_reduce($x, $n, $mode);
}
/**
* Modular multiply
*
* @see self::_slidingWindow()
* @access private
* @param array $x
* @param array $y
* @param array $n
* @param int $mode
* @return array
*/
function _multiplyReduce($x, $y, $n, $mode)
{
if ($mode == MATH_BIGINTEGER_MONTGOMERY) {
return $this->_montgomeryMultiply($x, $y, $n);
}
$temp = $this->_multiply($x, false, $y, false);
return $this->_reduce($temp[MATH_BIGINTEGER_VALUE], $n, $mode);
}
/**
* Modular square
*
* @see self::_slidingWindow()
* @access private
* @param array $x
* @param array $n
* @param int $mode
* @return array
*/
function _squareReduce($x, $n, $mode)
{
if ($mode == MATH_BIGINTEGER_MONTGOMERY) {
return $this->_montgomeryMultiply($x, $x, $n);
}
return $this->_reduce($this->_square($x), $n, $mode);
}
/**
* Modulos for Powers of Two
*
* Calculates $x%$n, where $n = 2**$e, for some $e. Since this is basically the same as doing $x & ($n-1),
* we'll just use this function as a wrapper for doing that.
*
* @see self::_slidingWindow()
* @access private
* @param Math_BigInteger
* @return Math_BigInteger
*/
function _mod2($n)
{
$temp = new Math_BigInteger();
$temp->value = array(1);
return $this->bitwise_and($n->subtract($temp));
}
/**
* Barrett Modular Reduction
*
* See {@link http://www.cacr.math.uwaterloo.ca/hac/about/chap14.pdf#page=14 HAC 14.3.3} /
* {@link http://math.libtomcrypt.com/files/tommath.pdf#page=165 MPM 6.2.5} for more information. Modified slightly,
* so as not to require negative numbers (initially, this script didn't support negative numbers).
*
* Employs "folding", as described at
* {@link http://www.cosic.esat.kuleuven.be/publications/thesis-149.pdf#page=66 thesis-149.pdf#page=66}. To quote from
* it, "the idea [behind folding] is to find a value x' such that x (mod m) = x' (mod m), with x' being smaller than x."
*
* Unfortunately, the "Barrett Reduction with Folding" algorithm described in thesis-149.pdf is not, as written, all that
* usable on account of (1) its not using reasonable radix points as discussed in
* {@link http://math.libtomcrypt.com/files/tommath.pdf#page=162 MPM 6.2.2} and (2) the fact that, even with reasonable
* radix points, it only works when there are an even number of digits in the denominator. The reason for (2) is that
* (x >> 1) + (x >> 1) != x / 2 + x / 2. If x is even, they're the same, but if x is odd, they're not. See the in-line
* comments for details.
*
* @see self::_slidingWindow()
* @access private
* @param array $n
* @param array $m
* @return array
*/
function _barrett($n, $m)
{
static $cache = array(
MATH_BIGINTEGER_VARIABLE => array(),
MATH_BIGINTEGER_DATA => array()
);
$m_length = count($m);
// if ($this->_compare($n, $this->_square($m)) >= 0) {
if (count($n) > 2 * $m_length) {
$lhs = new Math_BigInteger();
$rhs = new Math_BigInteger();
$lhs->value = $n;
$rhs->value = $m;
list(, $temp) = $lhs->divide($rhs);
return $temp->value;
}
// if (m.length >> 1) + 2 <= m.length then m is too small and n can't be reduced
if ($m_length < 5) {
return $this->_regularBarrett($n, $m);
}
// n = 2 * m.length
if (($key = array_search($m, $cache[MATH_BIGINTEGER_VARIABLE])) === false) {
$key = count($cache[MATH_BIGINTEGER_VARIABLE]);
$cache[MATH_BIGINTEGER_VARIABLE][] = $m;
$lhs = new Math_BigInteger();
$lhs_value = &$lhs->value;
$lhs_value = $this->_array_repeat(0, $m_length + ($m_length >> 1));
$lhs_value[] = 1;
$rhs = new Math_BigInteger();
$rhs->value = $m;
list($u, $m1) = $lhs->divide($rhs);
$u = $u->value;
$m1 = $m1->value;
$cache[MATH_BIGINTEGER_DATA][] = array(
'u' => $u, // m.length >> 1 (technically (m.length >> 1) + 1)
'm1'=> $m1 // m.length
);
} else {
extract($cache[MATH_BIGINTEGER_DATA][$key]);
}
$cutoff = $m_length + ($m_length >> 1);
$lsd = array_slice($n, 0, $cutoff); // m.length + (m.length >> 1)
$msd = array_slice($n, $cutoff); // m.length >> 1
$lsd = $this->_trim($lsd);
$temp = $this->_multiply($msd, false, $m1, false);
$n = $this->_add($lsd, false, $temp[MATH_BIGINTEGER_VALUE], false); // m.length + (m.length >> 1) + 1
if ($m_length & 1) {
return $this->_regularBarrett($n[MATH_BIGINTEGER_VALUE], $m);
}
// (m.length + (m.length >> 1) + 1) - (m.length - 1) == (m.length >> 1) + 2
$temp = array_slice($n[MATH_BIGINTEGER_VALUE], $m_length - 1);
// if even: ((m.length >> 1) + 2) + (m.length >> 1) == m.length + 2
// if odd: ((m.length >> 1) + 2) + (m.length >> 1) == (m.length - 1) + 2 == m.length + 1
$temp = $this->_multiply($temp, false, $u, false);
// if even: (m.length + 2) - ((m.length >> 1) + 1) = m.length - (m.length >> 1) + 1
// if odd: (m.length + 1) - ((m.length >> 1) + 1) = m.length - (m.length >> 1)
$temp = array_slice($temp[MATH_BIGINTEGER_VALUE], ($m_length >> 1) + 1);
// if even: (m.length - (m.length >> 1) + 1) + m.length = 2 * m.length - (m.length >> 1) + 1
// if odd: (m.length - (m.length >> 1)) + m.length = 2 * m.length - (m.length >> 1)
$temp = $this->_multiply($temp, false, $m, false);
// at this point, if m had an odd number of digits, we'd be subtracting a 2 * m.length - (m.length >> 1) digit
// number from a m.length + (m.length >> 1) + 1 digit number. ie. there'd be an extra digit and the while loop
// following this comment would loop a lot (hence our calling _regularBarrett() in that situation).
$result = $this->_subtract($n[MATH_BIGINTEGER_VALUE], false, $temp[MATH_BIGINTEGER_VALUE], false);
while ($this->_compare($result[MATH_BIGINTEGER_VALUE], $result[MATH_BIGINTEGER_SIGN], $m, false) >= 0) {
$result = $this->_subtract($result[MATH_BIGINTEGER_VALUE], $result[MATH_BIGINTEGER_SIGN], $m, false);
}
return $result[MATH_BIGINTEGER_VALUE];
}
/**
* (Regular) Barrett Modular Reduction
*
* For numbers with more than four digits Math_BigInteger::_barrett() is faster. The difference between that and this
* is that this function does not fold the denominator into a smaller form.
*
* @see self::_slidingWindow()
* @access private
* @param array $x
* @param array $n
* @return array
*/
function _regularBarrett($x, $n)
{
static $cache = array(
MATH_BIGINTEGER_VARIABLE => array(),
MATH_BIGINTEGER_DATA => array()
);
$n_length = count($n);
if (count($x) > 2 * $n_length) {
$lhs = new Math_BigInteger();
$rhs = new Math_BigInteger();
$lhs->value = $x;
$rhs->value = $n;
list(, $temp) = $lhs->divide($rhs);
return $temp->value;
}
if (($key = array_search($n, $cache[MATH_BIGINTEGER_VARIABLE])) === false) {
$key = count($cache[MATH_BIGINTEGER_VARIABLE]);
$cache[MATH_BIGINTEGER_VARIABLE][] = $n;
$lhs = new Math_BigInteger();
$lhs_value = &$lhs->value;
$lhs_value = $this->_array_repeat(0, 2 * $n_length);
$lhs_value[] = 1;
$rhs = new Math_BigInteger();
$rhs->value = $n;
list($temp, ) = $lhs->divide($rhs); // m.length
$cache[MATH_BIGINTEGER_DATA][] = $temp->value;
}
// 2 * m.length - (m.length - 1) = m.length + 1
$temp = array_slice($x, $n_length - 1);
// (m.length + 1) + m.length = 2 * m.length + 1
$temp = $this->_multiply($temp, false, $cache[MATH_BIGINTEGER_DATA][$key], false);
// (2 * m.length + 1) - (m.length - 1) = m.length + 2
$temp = array_slice($temp[MATH_BIGINTEGER_VALUE], $n_length + 1);
// m.length + 1
$result = array_slice($x, 0, $n_length + 1);
// m.length + 1
$temp = $this->_multiplyLower($temp, false, $n, false, $n_length + 1);
// $temp == array_slice($temp->_multiply($temp, false, $n, false)->value, 0, $n_length + 1)
if ($this->_compare($result, false, $temp[MATH_BIGINTEGER_VALUE], $temp[MATH_BIGINTEGER_SIGN]) < 0) {
$corrector_value = $this->_array_repeat(0, $n_length + 1);
$corrector_value[count($corrector_value)] = 1;
$result = $this->_add($result, false, $corrector_value, false);
$result = $result[MATH_BIGINTEGER_VALUE];
}
// at this point, we're subtracting a number with m.length + 1 digits from another number with m.length + 1 digits
$result = $this->_subtract($result, false, $temp[MATH_BIGINTEGER_VALUE], $temp[MATH_BIGINTEGER_SIGN]);
while ($this->_compare($result[MATH_BIGINTEGER_VALUE], $result[MATH_BIGINTEGER_SIGN], $n, false) > 0) {
$result = $this->_subtract($result[MATH_BIGINTEGER_VALUE], $result[MATH_BIGINTEGER_SIGN], $n, false);
}
return $result[MATH_BIGINTEGER_VALUE];
}
/**
* Performs long multiplication up to $stop digits
*
* If you're going to be doing array_slice($product->value, 0, $stop), some cycles can be saved.
*
* @see self::_regularBarrett()
* @param array $x_value
* @param bool $x_negative
* @param array $y_value
* @param bool $y_negative
* @param int $stop
* @return array
* @access private
*/
function _multiplyLower($x_value, $x_negative, $y_value, $y_negative, $stop)
{
$x_length = count($x_value);
$y_length = count($y_value);
if (!$x_length || !$y_length) { // a 0 is being multiplied
return array(
MATH_BIGINTEGER_VALUE => array(),
MATH_BIGINTEGER_SIGN => false
);
}
if ($x_length < $y_length) {
$temp = $x_value;
$x_value = $y_value;
$y_value = $temp;
$x_length = count($x_value);
$y_length = count($y_value);
}
$product_value = $this->_array_repeat(0, $x_length + $y_length);
// the following for loop could be removed if the for loop following it
// (the one with nested for loops) initially set $i to 0, but
// doing so would also make the result in one set of unnecessary adds,
// since on the outermost loops first pass, $product->value[$k] is going
// to always be 0
$carry = 0;
for ($j = 0; $j < $x_length; ++$j) { // ie. $i = 0, $k = $i
$temp = $x_value[$j] * $y_value[0] + $carry; // $product_value[$k] == 0
$carry = MATH_BIGINTEGER_BASE === 26 ? intval($temp / 0x4000000) : ($temp >> 31);
$product_value[$j] = (int) ($temp - MATH_BIGINTEGER_BASE_FULL * $carry);
}
if ($j < $stop) {
$product_value[$j] = $carry;
}
// the above for loop is what the previous comment was talking about. the
// following for loop is the "one with nested for loops"
for ($i = 1; $i < $y_length; ++$i) {
$carry = 0;
for ($j = 0, $k = $i; $j < $x_length && $k < $stop; ++$j, ++$k) {
$temp = $product_value[$k] + $x_value[$j] * $y_value[$i] + $carry;
$carry = MATH_BIGINTEGER_BASE === 26 ? intval($temp / 0x4000000) : ($temp >> 31);
$product_value[$k] = (int) ($temp - MATH_BIGINTEGER_BASE_FULL * $carry);
}
if ($k < $stop) {
$product_value[$k] = $carry;
}
}
return array(
MATH_BIGINTEGER_VALUE => $this->_trim($product_value),
MATH_BIGINTEGER_SIGN => $x_negative != $y_negative
);
}
/**
* Montgomery Modular Reduction
*
* ($x->_prepMontgomery($n))->_montgomery($n) yields $x % $n.
* {@link http://math.libtomcrypt.com/files/tommath.pdf#page=170 MPM 6.3} provides insights on how this can be
* improved upon (basically, by using the comba method). gcd($n, 2) must be equal to one for this function
* to work correctly.
*
* @see self::_prepMontgomery()
* @see self::_slidingWindow()
* @access private
* @param array $x
* @param array $n
* @return array
*/
function _montgomery($x, $n)
{
static $cache = array(
MATH_BIGINTEGER_VARIABLE => array(),
MATH_BIGINTEGER_DATA => array()
);
if (($key = array_search($n, $cache[MATH_BIGINTEGER_VARIABLE])) === false) {
$key = count($cache[MATH_BIGINTEGER_VARIABLE]);
$cache[MATH_BIGINTEGER_VARIABLE][] = $x;
$cache[MATH_BIGINTEGER_DATA][] = $this->_modInverse67108864($n);
}
$k = count($n);
$result = array(MATH_BIGINTEGER_VALUE => $x);
for ($i = 0; $i < $k; ++$i) {
$temp = $result[MATH_BIGINTEGER_VALUE][$i] * $cache[MATH_BIGINTEGER_DATA][$key];
$temp = $temp - MATH_BIGINTEGER_BASE_FULL * (MATH_BIGINTEGER_BASE === 26 ? intval($temp / 0x4000000) : ($temp >> 31));
$temp = $this->_regularMultiply(array($temp), $n);
$temp = array_merge($this->_array_repeat(0, $i), $temp);
$result = $this->_add($result[MATH_BIGINTEGER_VALUE], false, $temp, false);
}
$result[MATH_BIGINTEGER_VALUE] = array_slice($result[MATH_BIGINTEGER_VALUE], $k);
if ($this->_compare($result, false, $n, false) >= 0) {
$result = $this->_subtract($result[MATH_BIGINTEGER_VALUE], false, $n, false);
}
return $result[MATH_BIGINTEGER_VALUE];
}
/**
* Montgomery Multiply
*
* Interleaves the montgomery reduction and long multiplication algorithms together as described in
* {@link http://www.cacr.math.uwaterloo.ca/hac/about/chap14.pdf#page=13 HAC 14.36}
*
* @see self::_prepMontgomery()
* @see self::_montgomery()
* @access private
* @param array $x
* @param array $y
* @param array $m
* @return array
*/
function _montgomeryMultiply($x, $y, $m)
{
$temp = $this->_multiply($x, false, $y, false);
return $this->_montgomery($temp[MATH_BIGINTEGER_VALUE], $m);
// the following code, although not callable, can be run independently of the above code
// although the above code performed better in my benchmarks the following could might
// perform better under different circumstances. in lieu of deleting it it's just been
// made uncallable
static $cache = array(
MATH_BIGINTEGER_VARIABLE => array(),
MATH_BIGINTEGER_DATA => array()
);
if (($key = array_search($m, $cache[MATH_BIGINTEGER_VARIABLE])) === false) {
$key = count($cache[MATH_BIGINTEGER_VARIABLE]);
$cache[MATH_BIGINTEGER_VARIABLE][] = $m;
$cache[MATH_BIGINTEGER_DATA][] = $this->_modInverse67108864($m);
}
$n = max(count($x), count($y), count($m));
$x = array_pad($x, $n, 0);
$y = array_pad($y, $n, 0);
$m = array_pad($m, $n, 0);
$a = array(MATH_BIGINTEGER_VALUE => $this->_array_repeat(0, $n + 1));
for ($i = 0; $i < $n; ++$i) {
$temp = $a[MATH_BIGINTEGER_VALUE][0] + $x[$i] * $y[0];
$temp = $temp - MATH_BIGINTEGER_BASE_FULL * (MATH_BIGINTEGER_BASE === 26 ? intval($temp / 0x4000000) : ($temp >> 31));
$temp = $temp * $cache[MATH_BIGINTEGER_DATA][$key];
$temp = $temp - MATH_BIGINTEGER_BASE_FULL * (MATH_BIGINTEGER_BASE === 26 ? intval($temp / 0x4000000) : ($temp >> 31));
$temp = $this->_add($this->_regularMultiply(array($x[$i]), $y), false, $this->_regularMultiply(array($temp), $m), false);
$a = $this->_add($a[MATH_BIGINTEGER_VALUE], false, $temp[MATH_BIGINTEGER_VALUE], false);
$a[MATH_BIGINTEGER_VALUE] = array_slice($a[MATH_BIGINTEGER_VALUE], 1);
}
if ($this->_compare($a[MATH_BIGINTEGER_VALUE], false, $m, false) >= 0) {
$a = $this->_subtract($a[MATH_BIGINTEGER_VALUE], false, $m, false);
}
return $a[MATH_BIGINTEGER_VALUE];
}
/**
* Prepare a number for use in Montgomery Modular Reductions
*
* @see self::_montgomery()
* @see self::_slidingWindow()
* @access private
* @param array $x
* @param array $n
* @return array
*/
function _prepMontgomery($x, $n)
{
$lhs = new Math_BigInteger();
$lhs->value = array_merge($this->_array_repeat(0, count($n)), $x);
$rhs = new Math_BigInteger();
$rhs->value = $n;
list(, $temp) = $lhs->divide($rhs);
return $temp->value;
}
/**
* Modular Inverse of a number mod 2**26 (eg. 67108864)
*
* Based off of the bnpInvDigit function implemented and justified in the following URL:
*
* {@link http://www-cs-students.stanford.edu/~tjw/jsbn/jsbn.js}
*
* The following URL provides more info:
*
* {@link http://groups.google.com/group/sci.crypt/msg/7a137205c1be7d85}
*
* As for why we do all the bitmasking... strange things can happen when converting from floats to ints. For
* instance, on some computers, var_dump((int) -4294967297) yields int(-1) and on others, it yields
* int(-2147483648). To avoid problems stemming from this, we use bitmasks to guarantee that ints aren't
* auto-converted to floats. The outermost bitmask is present because without it, there's no guarantee that
* the "residue" returned would be the so-called "common residue". We use fmod, in the last step, because the
* maximum possible $x is 26 bits and the maximum $result is 16 bits. Thus, we have to be able to handle up to
* 40 bits, which only 64-bit floating points will support.
*
* Thanks to Pedro Gimeno Fortea for input!
*
* @see self::_montgomery()
* @access private
* @param array $x
* @return int
*/
function _modInverse67108864($x) // 2**26 == 67,108,864
{
$x = -$x[0];
$result = $x & 0x3; // x**-1 mod 2**2
$result = ($result * (2 - $x * $result)) & 0xF; // x**-1 mod 2**4
$result = ($result * (2 - ($x & 0xFF) * $result)) & 0xFF; // x**-1 mod 2**8
$result = ($result * ((2 - ($x & 0xFFFF) * $result) & 0xFFFF)) & 0xFFFF; // x**-1 mod 2**16
$result = fmod($result * (2 - fmod($x * $result, MATH_BIGINTEGER_BASE_FULL)), MATH_BIGINTEGER_BASE_FULL); // x**-1 mod 2**26
return $result & MATH_BIGINTEGER_MAX_DIGIT;
}
/**
* Calculates modular inverses.
*
* Say you have (30 mod 17 * x mod 17) mod 17 == 1. x can be found using modular inverses.
*
* Here's an example:
*
* modInverse($b);
* echo $c->toString(); // outputs 4
*
* echo "\r\n";
*
* $d = $a->multiply($c);
* list(, $d) = $d->divide($b);
* echo $d; // outputs 1 (as per the definition of modular inverse)
* ?>
*
*
* @param Math_BigInteger $n
* @return Math_BigInteger|false
* @access public
* @internal See {@link http://www.cacr.math.uwaterloo.ca/hac/about/chap14.pdf#page=21 HAC 14.64} for more information.
*/
function modInverse($n)
{
switch (MATH_BIGINTEGER_MODE) {
case MATH_BIGINTEGER_MODE_GMP:
$temp = new Math_BigInteger();
$temp->value = gmp_invert($this->value, $n->value);
return ($temp->value === false) ? false : $this->_normalize($temp);
}
static $zero, $one;
if (!isset($zero)) {
$zero = new Math_BigInteger();
$one = new Math_BigInteger(1);
}
// $x mod -$n == $x mod $n.
$n = $n->abs();
if ($this->compare($zero) < 0) {
$temp = $this->abs();
$temp = $temp->modInverse($n);
return $this->_normalize($n->subtract($temp));
}
extract($this->extendedGCD($n));
if (!$gcd->equals($one)) {
return false;
}
$x = $x->compare($zero) < 0 ? $x->add($n) : $x;
return $this->compare($zero) < 0 ? $this->_normalize($n->subtract($x)) : $this->_normalize($x);
}
/**
* Calculates the greatest common divisor and Bezout's identity.
*
* Say you have 693 and 609. The GCD is 21. Bezout's identity states that there exist integers x and y such that
* 693*x + 609*y == 21. In point of fact, there are actually an infinite number of x and y combinations and which
* combination is returned is dependent upon which mode is in use. See
* {@link http://en.wikipedia.org/wiki/B%C3%A9zout%27s_identity Bezout's identity - Wikipedia} for more information.
*
* Here's an example:
*
* extendedGCD($b));
*
* echo $gcd->toString() . "\r\n"; // outputs 21
* echo $a->toString() * $x->toString() + $b->toString() * $y->toString(); // outputs 21
* ?>
*
*
* @param Math_BigInteger $n
* @return Math_BigInteger
* @access public
* @internal Calculates the GCD using the binary xGCD algorithim described in
* {@link http://www.cacr.math.uwaterloo.ca/hac/about/chap14.pdf#page=19 HAC 14.61}. As the text above 14.61 notes,
* the more traditional algorithim requires "relatively costly multiple-precision divisions".
*/
function extendedGCD($n)
{
switch (MATH_BIGINTEGER_MODE) {
case MATH_BIGINTEGER_MODE_GMP:
extract(gmp_gcdext($this->value, $n->value));
return array(
'gcd' => $this->_normalize(new Math_BigInteger($g)),
'x' => $this->_normalize(new Math_BigInteger($s)),
'y' => $this->_normalize(new Math_BigInteger($t))
);
case MATH_BIGINTEGER_MODE_BCMATH:
// it might be faster to use the binary xGCD algorithim here, as well, but (1) that algorithim works
// best when the base is a power of 2 and (2) i don't think it'd make much difference, anyway. as is,
// the basic extended euclidean algorithim is what we're using.
$u = $this->value;
$v = $n->value;
$a = '1';
$b = '0';
$c = '0';
$d = '1';
while (bccomp($v, '0', 0) != 0) {
$q = bcdiv($u, $v, 0);
$temp = $u;
$u = $v;
$v = bcsub($temp, bcmul($v, $q, 0), 0);
$temp = $a;
$a = $c;
$c = bcsub($temp, bcmul($a, $q, 0), 0);
$temp = $b;
$b = $d;
$d = bcsub($temp, bcmul($b, $q, 0), 0);
}
return array(
'gcd' => $this->_normalize(new Math_BigInteger($u)),
'x' => $this->_normalize(new Math_BigInteger($a)),
'y' => $this->_normalize(new Math_BigInteger($b))
);
}
$y = $n->copy();
$x = $this->copy();
$g = new Math_BigInteger();
$g->value = array(1);
while (!(($x->value[0] & 1)|| ($y->value[0] & 1))) {
$x->_rshift(1);
$y->_rshift(1);
$g->_lshift(1);
}
$u = $x->copy();
$v = $y->copy();
$a = new Math_BigInteger();
$b = new Math_BigInteger();
$c = new Math_BigInteger();
$d = new Math_BigInteger();
$a->value = $d->value = $g->value = array(1);
$b->value = $c->value = array();
while (!empty($u->value)) {
while (!($u->value[0] & 1)) {
$u->_rshift(1);
if ((!empty($a->value) && ($a->value[0] & 1)) || (!empty($b->value) && ($b->value[0] & 1))) {
$a = $a->add($y);
$b = $b->subtract($x);
}
$a->_rshift(1);
$b->_rshift(1);
}
while (!($v->value[0] & 1)) {
$v->_rshift(1);
if ((!empty($d->value) && ($d->value[0] & 1)) || (!empty($c->value) && ($c->value[0] & 1))) {
$c = $c->add($y);
$d = $d->subtract($x);
}
$c->_rshift(1);
$d->_rshift(1);
}
if ($u->compare($v) >= 0) {
$u = $u->subtract($v);
$a = $a->subtract($c);
$b = $b->subtract($d);
} else {
$v = $v->subtract($u);
$c = $c->subtract($a);
$d = $d->subtract($b);
}
}
return array(
'gcd' => $this->_normalize($g->multiply($v)),
'x' => $this->_normalize($c),
'y' => $this->_normalize($d)
);
}
/**
* Calculates the greatest common divisor
*
* Say you have 693 and 609. The GCD is 21.
*
* Here's an example:
*
* extendedGCD($b);
*
* echo $gcd->toString() . "\r\n"; // outputs 21
* ?>
*
*
* @param Math_BigInteger $n
* @return Math_BigInteger
* @access public
*/
function gcd($n)
{
extract($this->extendedGCD($n));
return $gcd;
}
/**
* Absolute value.
*
* @return Math_BigInteger
* @access public
*/
function abs()
{
$temp = new Math_BigInteger();
switch (MATH_BIGINTEGER_MODE) {
case MATH_BIGINTEGER_MODE_GMP:
$temp->value = gmp_abs($this->value);
break;
case MATH_BIGINTEGER_MODE_BCMATH:
$temp->value = (bccomp($this->value, '0', 0) < 0) ? substr($this->value, 1) : $this->value;
break;
default:
$temp->value = $this->value;
}
return $temp;
}
/**
* Compares two numbers.
*
* Although one might think !$x->compare($y) means $x != $y, it, in fact, means the opposite. The reason for this is
* demonstrated thusly:
*
* $x > $y: $x->compare($y) > 0
* $x < $y: $x->compare($y) < 0
* $x == $y: $x->compare($y) == 0
*
* Note how the same comparison operator is used. If you want to test for equality, use $x->equals($y).
*
* @param Math_BigInteger $y
* @return int < 0 if $this is less than $y; > 0 if $this is greater than $y, and 0 if they are equal.
* @access public
* @see self::equals()
* @internal Could return $this->subtract($x), but that's not as fast as what we do do.
*/
function compare($y)
{
switch (MATH_BIGINTEGER_MODE) {
case MATH_BIGINTEGER_MODE_GMP:
return gmp_cmp($this->value, $y->value);
case MATH_BIGINTEGER_MODE_BCMATH:
return bccomp($this->value, $y->value, 0);
}
return $this->_compare($this->value, $this->is_negative, $y->value, $y->is_negative);
}
/**
* Compares two numbers.
*
* @param array $x_value
* @param bool $x_negative
* @param array $y_value
* @param bool $y_negative
* @return int
* @see self::compare()
* @access private
*/
function _compare($x_value, $x_negative, $y_value, $y_negative)
{
if ($x_negative != $y_negative) {
return (!$x_negative && $y_negative) ? 1 : -1;
}
$result = $x_negative ? -1 : 1;
if (count($x_value) != count($y_value)) {
return (count($x_value) > count($y_value)) ? $result : -$result;
}
$size = max(count($x_value), count($y_value));
$x_value = array_pad($x_value, $size, 0);
$y_value = array_pad($y_value, $size, 0);
for ($i = count($x_value) - 1; $i >= 0; --$i) {
if ($x_value[$i] != $y_value[$i]) {
return ($x_value[$i] > $y_value[$i]) ? $result : -$result;
}
}
return 0;
}
/**
* Tests the equality of two numbers.
*
* If you need to see if one number is greater than or less than another number, use Math_BigInteger::compare()
*
* @param Math_BigInteger $x
* @return bool
* @access public
* @see self::compare()
*/
function equals($x)
{
switch (MATH_BIGINTEGER_MODE) {
case MATH_BIGINTEGER_MODE_GMP:
return gmp_cmp($this->value, $x->value) == 0;
default:
return $this->value === $x->value && $this->is_negative == $x->is_negative;
}
}
/**
* Set Precision
*
* Some bitwise operations give different results depending on the precision being used. Examples include left
* shift, not, and rotates.
*
* @param int $bits
* @access public
*/
function setPrecision($bits)
{
$this->precision = $bits;
if (MATH_BIGINTEGER_MODE != MATH_BIGINTEGER_MODE_BCMATH) {
$this->bitmask = new Math_BigInteger(chr((1 << ($bits & 0x7)) - 1) . str_repeat(chr(0xFF), $bits >> 3), 256);
} else {
$this->bitmask = new Math_BigInteger(bcpow('2', $bits, 0));
}
$temp = $this->_normalize($this);
$this->value = $temp->value;
}
/**
* Logical And
*
* @param Math_BigInteger $x
* @access public
* @internal Implemented per a request by Lluis Pamies i Juarez \r\n" . $this->_format_log(array($data), array($packet_type)) . "\r\n\r\n"; flush(); ob_flush(); } else { $this->packet_type_log[] = $packet_type; if (NET_SFTP_LOGGING == NET_SFTP_LOG_COMPLEX) { $this->packet_log[] = $data; } } } return $result; } /** * Receives SFTP Packets * * See '6. General Packet Format' of draft-ietf-secsh-filexfer-13 for more info. * * Incidentally, the number of SSH_MSG_CHANNEL_DATA messages has no bearing on the number of SFTP packets present. * There can be one SSH_MSG_CHANNEL_DATA messages containing two SFTP packets or there can be two SSH_MSG_CHANNEL_DATA * messages containing one SFTP packet. * * @see self::_send_sftp_packet() * @return string * @access private */ function _get_sftp_packet() { $this->curTimeout = false; $start = strtok(microtime(), ' ') + strtok(''); // http://php.net/microtime#61838 // SFTP packet length while (strlen($this->packet_buffer) < 4) { $temp = $this->_get_channel_packet(NET_SFTP_CHANNEL); if (is_bool($temp)) { $this->packet_type = false; $this->packet_buffer = ''; return false; } $this->packet_buffer.= $temp; } extract(unpack('Nlength', $this->_string_shift($this->packet_buffer, 4))); $tempLength = $length; $tempLength-= strlen($this->packet_buffer); // SFTP packet type and data payload while ($tempLength > 0) { $temp = $this->_get_channel_packet(NET_SFTP_CHANNEL); if (is_bool($temp)) { $this->packet_type = false; $this->packet_buffer = ''; return false; } $this->packet_buffer.= $temp; $tempLength-= strlen($temp); } $stop = strtok(microtime(), ' ') + strtok(''); $this->packet_type = ord($this->_string_shift($this->packet_buffer)); if ($this->request_id !== false) { $this->_string_shift($this->packet_buffer, 4); // remove the request id $length-= 5; // account for the request id and the packet type } else { $length-= 1; // account for the packet type } $packet = $this->_string_shift($this->packet_buffer, $length); if (defined('NET_SFTP_LOGGING')) { $packet_type = '<- ' . $this->packet_types[$this->packet_type] . ' (' . round($stop - $start, 4) . 's)'; if (NET_SFTP_LOGGING == NET_SFTP_LOG_REALTIME) { echo "
\r\n" . $this->_format_log(array($packet), array($packet_type)) . "\r\n\r\n"; flush(); ob_flush(); } else { $this->packet_type_log[] = $packet_type; if (NET_SFTP_LOGGING == NET_SFTP_LOG_COMPLEX) { $this->packet_log[] = $packet; } } } return $packet; } /** * Returns a log of the packets that have been sent and received. * * Returns a string if NET_SFTP_LOGGING == NET_SFTP_LOG_COMPLEX, an array if NET_SFTP_LOGGING == NET_SFTP_LOG_SIMPLE and false if !defined('NET_SFTP_LOGGING') * * @access public * @return string or Array */ function getSFTPLog() { if (!defined('NET_SFTP_LOGGING')) { return false; } switch (NET_SFTP_LOGGING) { case NET_SFTP_LOG_COMPLEX: return $this->_format_log($this->packet_log, $this->packet_type_log); break; //case NET_SFTP_LOG_SIMPLE: default: return $this->packet_type_log; } } /** * Returns all errors * * @return string * @access public */ function getSFTPErrors() { return $this->sftp_errors; } /** * Returns the last error * * @return string * @access public */ function getLastSFTPError() { return count($this->sftp_errors) ? $this->sftp_errors[count($this->sftp_errors) - 1] : ''; } /** * Get supported SFTP versions * * @return array * @access public */ function getSupportedVersions() { $temp = array('version' => $this->version); if (isset($this->extensions['versions'])) { $temp['extensions'] = $this->extensions['versions']; } return $temp; } /** * Disconnect * * @param int $reason * @return bool * @access private */ function _disconnect($reason) { $this->pwd = false; parent::_disconnect($reason); } } phpseclib-1.0.5/phpseclib/Net/SFTP/ 0000775 0000000 0000000 00000000000 13002723614 0016737 5 ustar 00root root 0000000 0000000 phpseclib-1.0.5/phpseclib/Net/SFTP/Stream.php 0000664 0000000 0000000 00000055036 13002723614 0020714 0 ustar 00root root 0000000 0000000 * @copyright 2013 Jim Wigginton * @license http://www.opensource.org/licenses/mit-license.html MIT License * @link http://phpseclib.sourceforge.net */ /** * SFTP Stream Wrapper * * @package Net_SFTP_Stream * @author Jim Wigginton
* login('username', 'password')) {
* exit('Login Failed');
* }
*
* echo $ssh->read('username@username:~$');
* $ssh->write("ls -la\n");
* echo $ssh->read('username@username:~$');
* ?>
*
*
* More information on the SSHv1 specification can be found by reading
* {@link http://www.snailbook.com/docs/protocol-1.5.txt protocol-1.5.txt}.
*
* 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 Net
* @package Net_SSH1
* @author Jim Wigginton \r\n" . $this->_format_log(array($message), array($protocol_flags)) . "\r\n\r\n"; @flush(); @ob_flush(); break; // basically the same thing as NET_SSH1_LOG_REALTIME with the caveat that NET_SSH1_LOG_REALTIME_FILE // needs to be defined and that the resultant log file will be capped out at NET_SSH1_LOG_MAX_SIZE. // the earliest part of the log file is denoted by the first <<< START >>> and is not going to necessarily // at the beginning of the file case NET_SSH1_LOG_REALTIME_FILE: if (!isset($this->realtime_log_file)) { // PHP doesn't seem to like using constants in fopen() $filename = NET_SSH1_LOG_REALTIME_FILE; $fp = fopen($filename, 'w'); $this->realtime_log_file = $fp; } if (!is_resource($this->realtime_log_file)) { break; } $entry = $this->_format_log(array($message), array($protocol_flags)); if ($this->realtime_log_wrap) { $temp = "<<< START >>>\r\n"; $entry.= $temp; fseek($this->realtime_log_file, ftell($this->realtime_log_file) - strlen($temp)); } $this->realtime_log_size+= strlen($entry); if ($this->realtime_log_size > NET_SSH1_LOG_MAX_SIZE) { fseek($this->realtime_log_file, 0); $this->realtime_log_size = strlen($entry); $this->realtime_log_wrap = true; } fputs($this->realtime_log_file, $entry); } } } phpseclib-1.0.5/phpseclib/Net/SSH2.php 0000664 0000000 0000000 00000437023 13002723614 0017424 0 ustar 00root root 0000000 0000000 * login('username', 'password')) { * exit('Login Failed'); * } * * echo $ssh->exec('pwd'); * echo $ssh->exec('ls -la'); * ?> * * *
* setPassword('whatever');
* $key->loadKey(file_get_contents('privatekey'));
*
* $ssh = new Net_SSH2('www.domain.tld');
* if (!$ssh->login('username', $key)) {
* exit('Login Failed');
* }
*
* echo $ssh->read('username@username:~$');
* $ssh->write("ls -la\n");
* echo $ssh->read('username@username:~$');
* ?>
*
*
* 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 Net
* @package Net_SSH2
* @author Jim Wigginton ';
$stop = '';
}
echo $start . $this->_format_log(array($message), array($message_number)) . $stop;
@flush();
@ob_flush();
break;
// basically the same thing as NET_SSH2_LOG_REALTIME with the caveat that NET_SSH2_LOG_REALTIME_FILE
// needs to be defined and that the resultant log file will be capped out at NET_SSH2_LOG_MAX_SIZE.
// the earliest part of the log file is denoted by the first <<< START >>> and is not going to necessarily
// at the beginning of the file
case NET_SSH2_LOG_REALTIME_FILE:
if (!isset($this->realtime_log_file)) {
// PHP doesn't seem to like using constants in fopen()
$filename = NET_SSH2_LOG_REALTIME_FILENAME;
$fp = fopen($filename, 'w');
$this->realtime_log_file = $fp;
}
if (!is_resource($this->realtime_log_file)) {
break;
}
$entry = $this->_format_log(array($message), array($message_number));
if ($this->realtime_log_wrap) {
$temp = "<<< START >>>\r\n";
$entry.= $temp;
fseek($this->realtime_log_file, ftell($this->realtime_log_file) - strlen($temp));
}
$this->realtime_log_size+= strlen($entry);
if ($this->realtime_log_size > NET_SSH2_LOG_MAX_SIZE) {
fseek($this->realtime_log_file, 0);
$this->realtime_log_size = strlen($entry);
$this->realtime_log_wrap = true;
}
fputs($this->realtime_log_file, $entry);
}
}
/**
* Sends channel data
*
* Spans multiple SSH_MSG_CHANNEL_DATAs if appropriate
*
* @param int $client_channel
* @param string $data
* @return bool
* @access private
*/
function _send_channel_packet($client_channel, $data)
{
while (strlen($data)) {
if (!$this->window_size_client_to_server[$client_channel]) {
$this->bitmap^= NET_SSH2_MASK_WINDOW_ADJUST;
// using an invalid channel will let the buffers be built up for the valid channels
$this->_get_channel_packet(-1);
$this->bitmap^= NET_SSH2_MASK_WINDOW_ADJUST;
}
/* The maximum amount of data allowed is determined by the maximum
packet size for the channel, and the current window size, whichever
is smaller.
-- http://tools.ietf.org/html/rfc4254#section-5.2 */
$max_size = min(
$this->packet_size_client_to_server[$client_channel],
$this->window_size_client_to_server[$client_channel]
);
$temp = $this->_string_shift($data, $max_size);
$packet = pack(
'CN2a*',
NET_SSH2_MSG_CHANNEL_DATA,
$this->server_channels[$client_channel],
strlen($temp),
$temp
);
$this->window_size_client_to_server[$client_channel]-= strlen($temp);
if (!$this->_send_binary_packet($packet)) {
return false;
}
}
return true;
}
/**
* Closes and flushes a channel
*
* Net_SSH2 doesn't properly close most channels. For exec() channels are normally closed by the server
* and for SFTP channels are presumably closed when the client disconnects. This functions is intended
* for SCP more than anything.
*
* @param int $client_channel
* @param bool $want_reply
* @return bool
* @access private
*/
function _close_channel($client_channel, $want_reply = false)
{
// see http://tools.ietf.org/html/rfc4254#section-5.3
$this->_send_binary_packet(pack('CN', NET_SSH2_MSG_CHANNEL_EOF, $this->server_channels[$client_channel]));
if (!$want_reply) {
$this->_send_binary_packet(pack('CN', NET_SSH2_MSG_CHANNEL_CLOSE, $this->server_channels[$client_channel]));
}
$this->channel_status[$client_channel] = NET_SSH2_MSG_CHANNEL_CLOSE;
$this->curTimeout = 0;
while (!is_bool($this->_get_channel_packet($client_channel))) {
}
if ($want_reply) {
$this->_send_binary_packet(pack('CN', NET_SSH2_MSG_CHANNEL_CLOSE, $this->server_channels[$client_channel]));
}
if ($this->bitmap & NET_SSH2_MASK_SHELL) {
$this->bitmap&= ~NET_SSH2_MASK_SHELL;
}
}
/**
* Disconnect
*
* @param int $reason
* @return bool
* @access private
*/
function _disconnect($reason)
{
if ($this->bitmap & NET_SSH2_MASK_CONNECTED) {
$data = pack('CNNa*Na*', NET_SSH2_MSG_DISCONNECT, $reason, 0, '', 0, '');
$this->_send_binary_packet($data);
$this->bitmap = 0;
fclose($this->fsock);
return false;
}
}
/**
* String Shift
*
* Inspired by array_shift
*
* @param string $string
* @param int $index
* @return string
* @access private
*/
function _string_shift(&$string, $index = 1)
{
$substr = substr($string, 0, $index);
$string = substr($string, $index);
return $substr;
}
/**
* Define Array
*
* Takes any number of arrays whose indices are integers and whose values are strings and defines a bunch of
* named constants from it, using the value as the name of the constant and the index as the value of the constant.
* If any of the constants that would be defined already exists, none of the constants will be defined.
*
* @param array $array
* @access private
*/
function _define_array()
{
$args = func_get_args();
foreach ($args as $arg) {
foreach ($arg as $key => $value) {
if (!defined($value)) {
define($value, $key);
} else {
break 2;
}
}
}
}
/**
* Returns a log of the packets that have been sent and received.
*
* Returns a string if NET_SSH2_LOGGING == NET_SSH2_LOG_COMPLEX, an array if NET_SSH2_LOGGING == NET_SSH2_LOG_SIMPLE and false if !defined('NET_SSH2_LOGGING')
*
* @access public
* @return array|false|string
*/
function getLog()
{
if (!defined('NET_SSH2_LOGGING')) {
return false;
}
switch (NET_SSH2_LOGGING) {
case NET_SSH2_LOG_SIMPLE:
return $this->message_number_log;
break;
case NET_SSH2_LOG_COMPLEX:
return $this->_format_log($this->message_log, $this->message_number_log);
break;
default:
return false;
}
}
/**
* Formats a log for printing
*
* @param array $message_log
* @param array $message_number_log
* @access private
* @return string
*/
function _format_log($message_log, $message_number_log)
{
$output = '';
for ($i = 0; $i < count($message_log); $i++) {
$output.= $message_number_log[$i] . "\r\n";
$current_log = $message_log[$i];
$j = 0;
do {
if (strlen($current_log)) {
$output.= str_pad(dechex($j), 7, '0', STR_PAD_LEFT) . '0 ';
}
$fragment = $this->_string_shift($current_log, $this->log_short_width);
$hex = substr(preg_replace_callback('#.#s', array($this, '_format_log_helper'), $fragment), strlen($this->log_boundary));
// replace non ASCII printable characters with dots
// http://en.wikipedia.org/wiki/ASCII#ASCII_printable_characters
// also replace < with a . since < messes up the output on web browsers
$raw = preg_replace('#[^\x20-\x7E]|<#', '.', $fragment);
$output.= str_pad($hex, $this->log_long_width - $this->log_short_width, ' ') . $raw . "\r\n";
$j++;
} while (strlen($current_log));
$output.= "\r\n";
}
return $output;
}
/**
* Helper function for _format_log
*
* For use with preg_replace_callback()
*
* @param array $matches
* @access private
* @return string
*/
function _format_log_helper($matches)
{
return $this->log_boundary . str_pad(dechex(ord($matches[0])), 2, '0', STR_PAD_LEFT);
}
/**
* Helper function for agent->_on_channel_open()
*
* Used when channels are created to inform agent
* of said channel opening. Must be called after
* channel open confirmation received
*
* @access private
*/
function _on_channel_open()
{
if (isset($this->agent)) {
$this->agent->_on_channel_open($this);
}
}
/**
* Returns the first value of the intersection of two arrays or false if
* the intersection is empty. The order is defined by the first parameter.
*
* @param array $array1
* @param array $array2
* @return mixed False if intersection is empty, else intersected value.
* @access private
*/
function _array_intersect_first($array1, $array2)
{
foreach ($array1 as $value) {
if (in_array($value, $array2)) {
return $value;
}
}
return false;
}
/**
* Returns all errors
*
* @return string[]
* @access public
*/
function getErrors()
{
return $this->errors;
}
/**
* Returns the last error
*
* @return string
* @access public
*/
function getLastError()
{
$count = count($this->errors);
if ($count > 0) {
return $this->errors[$count - 1];
}
}
/**
* Return the server identification.
*
* @return string
* @access public
*/
function getServerIdentification()
{
$this->_connect();
return $this->server_identifier;
}
/**
* Return a list of the key exchange algorithms the server supports.
*
* @return array
* @access public
*/
function getKexAlgorithms()
{
$this->_connect();
return $this->kex_algorithms;
}
/**
* Return a list of the host key (public key) algorithms the server supports.
*
* @return array
* @access public
*/
function getServerHostKeyAlgorithms()
{
$this->_connect();
return $this->server_host_key_algorithms;
}
/**
* Return a list of the (symmetric key) encryption algorithms the server supports, when receiving stuff from the client.
*
* @return array
* @access public
*/
function getEncryptionAlgorithmsClient2Server()
{
$this->_connect();
return $this->encryption_algorithms_client_to_server;
}
/**
* Return a list of the (symmetric key) encryption algorithms the server supports, when sending stuff to the client.
*
* @return array
* @access public
*/
function getEncryptionAlgorithmsServer2Client()
{
$this->_connect();
return $this->encryption_algorithms_server_to_client;
}
/**
* Return a list of the MAC algorithms the server supports, when receiving stuff from the client.
*
* @return array
* @access public
*/
function getMACAlgorithmsClient2Server()
{
$this->_connect();
return $this->mac_algorithms_client_to_server;
}
/**
* Return a list of the MAC algorithms the server supports, when sending stuff to the client.
*
* @return array
* @access public
*/
function getMACAlgorithmsServer2Client()
{
$this->_connect();
return $this->mac_algorithms_server_to_client;
}
/**
* Return a list of the compression algorithms the server supports, when receiving stuff from the client.
*
* @return array
* @access public
*/
function getCompressionAlgorithmsClient2Server()
{
$this->_connect();
return $this->compression_algorithms_client_to_server;
}
/**
* Return a list of the compression algorithms the server supports, when sending stuff to the client.
*
* @return array
* @access public
*/
function getCompressionAlgorithmsServer2Client()
{
$this->_connect();
return $this->compression_algorithms_server_to_client;
}
/**
* Return a list of the languages the server supports, when sending stuff to the client.
*
* @return array
* @access public
*/
function getLanguagesServer2Client()
{
$this->_connect();
return $this->languages_server_to_client;
}
/**
* Return a list of the languages the server supports, when receiving stuff from the client.
*
* @return array
* @access public
*/
function getLanguagesClient2Server()
{
$this->_connect();
return $this->languages_client_to_server;
}
/**
* Returns the banner message.
*
* Quoting from the RFC, "in some jurisdictions, sending a warning message before
* authentication may be relevant for getting legal protection."
*
* @return string
* @access public
*/
function getBannerMessage()
{
return $this->banner_message;
}
/**
* Returns the server public host key.
*
* Caching this the first time you connect to a server and checking the result on subsequent connections
* is recommended. Returns false if the server signature is not signed correctly with the public host key.
*
* @return mixed
* @access public
*/
function getServerPublicHostKey()
{
if (!($this->bitmap & NET_SSH2_MASK_CONSTRUCTOR)) {
if (!$this->_connect()) {
return false;
}
}
$signature = $this->signature;
$server_public_host_key = $this->server_public_host_key;
extract(unpack('Nlength', $this->_string_shift($server_public_host_key, 4)));
$this->_string_shift($server_public_host_key, $length);
if ($this->signature_validated) {
return $this->bitmap ?
$this->signature_format . ' ' . base64_encode($this->server_public_host_key) :
false;
}
$this->signature_validated = true;
switch ($this->signature_format) {
case 'ssh-dss':
$zero = new Math_BigInteger();
$temp = unpack('Nlength', $this->_string_shift($server_public_host_key, 4));
$p = new Math_BigInteger($this->_string_shift($server_public_host_key, $temp['length']), -256);
$temp = unpack('Nlength', $this->_string_shift($server_public_host_key, 4));
$q = new Math_BigInteger($this->_string_shift($server_public_host_key, $temp['length']), -256);
$temp = unpack('Nlength', $this->_string_shift($server_public_host_key, 4));
$g = new Math_BigInteger($this->_string_shift($server_public_host_key, $temp['length']), -256);
$temp = unpack('Nlength', $this->_string_shift($server_public_host_key, 4));
$y = new Math_BigInteger($this->_string_shift($server_public_host_key, $temp['length']), -256);
/* The value for 'dss_signature_blob' is encoded as a string containing
r, followed by s (which are 160-bit integers, without lengths or
padding, unsigned, and in network byte order). */
$temp = unpack('Nlength', $this->_string_shift($signature, 4));
if ($temp['length'] != 40) {
user_error('Invalid signature');
return $this->_disconnect(NET_SSH2_DISCONNECT_KEY_EXCHANGE_FAILED);
}
$r = new Math_BigInteger($this->_string_shift($signature, 20), 256);
$s = new Math_BigInteger($this->_string_shift($signature, 20), 256);
switch (true) {
case $r->equals($zero):
case $r->compare($q) >= 0:
case $s->equals($zero):
case $s->compare($q) >= 0:
user_error('Invalid signature');
return $this->_disconnect(NET_SSH2_DISCONNECT_KEY_EXCHANGE_FAILED);
}
$w = $s->modInverse($q);
$u1 = $w->multiply(new Math_BigInteger(sha1($this->exchange_hash), 16));
list(, $u1) = $u1->divide($q);
$u2 = $w->multiply($r);
list(, $u2) = $u2->divide($q);
$g = $g->modPow($u1, $p);
$y = $y->modPow($u2, $p);
$v = $g->multiply($y);
list(, $v) = $v->divide($p);
list(, $v) = $v->divide($q);
if (!$v->equals($r)) {
user_error('Bad server signature');
return $this->_disconnect(NET_SSH2_DISCONNECT_HOST_KEY_NOT_VERIFIABLE);
}
break;
case 'ssh-rsa':
$temp = unpack('Nlength', $this->_string_shift($server_public_host_key, 4));
$e = new Math_BigInteger($this->_string_shift($server_public_host_key, $temp['length']), -256);
$temp = unpack('Nlength', $this->_string_shift($server_public_host_key, 4));
$rawN = $this->_string_shift($server_public_host_key, $temp['length']);
$n = new Math_BigInteger($rawN, -256);
$nLength = strlen(ltrim($rawN, "\0"));
/*
$temp = unpack('Nlength', $this->_string_shift($signature, 4));
$signature = $this->_string_shift($signature, $temp['length']);
if (!class_exists('Crypt_RSA')) {
include_once 'Crypt/RSA.php';
}
$rsa = new Crypt_RSA();
$rsa->setSignatureMode(CRYPT_RSA_SIGNATURE_PKCS1);
$rsa->loadKey(array('e' => $e, 'n' => $n), CRYPT_RSA_PUBLIC_FORMAT_RAW);
if (!$rsa->verify($this->exchange_hash, $signature)) {
user_error('Bad server signature');
return $this->_disconnect(NET_SSH2_DISCONNECT_HOST_KEY_NOT_VERIFIABLE);
}
*/
$temp = unpack('Nlength', $this->_string_shift($signature, 4));
$s = new Math_BigInteger($this->_string_shift($signature, $temp['length']), 256);
// validate an RSA signature per "8.2 RSASSA-PKCS1-v1_5", "5.2.2 RSAVP1", and "9.1 EMSA-PSS" in the
// following URL:
// ftp://ftp.rsasecurity.com/pub/pkcs/pkcs-1/pkcs-1v2-1.pdf
// also, see SSHRSA.c (rsa2_verifysig) in PuTTy's source.
if ($s->compare(new Math_BigInteger()) < 0 || $s->compare($n->subtract(new Math_BigInteger(1))) > 0) {
user_error('Invalid signature');
return $this->_disconnect(NET_SSH2_DISCONNECT_KEY_EXCHANGE_FAILED);
}
$s = $s->modPow($e, $n);
$s = $s->toBytes();
$h = pack('N4H*', 0x00302130, 0x0906052B, 0x0E03021A, 0x05000414, sha1($this->exchange_hash));
$h = chr(0x01) . str_repeat(chr(0xFF), $nLength - 2 - strlen($h)) . $h;
if ($s != $h) {
user_error('Bad server signature');
return $this->_disconnect(NET_SSH2_DISCONNECT_HOST_KEY_NOT_VERIFIABLE);
}
break;
default:
user_error('Unsupported signature format');
return $this->_disconnect(NET_SSH2_DISCONNECT_HOST_KEY_NOT_VERIFIABLE);
}
return $this->signature_format . ' ' . base64_encode($this->server_public_host_key);
}
/**
* Returns the exit status of an SSH command or false.
*
* @return false|int
* @access public
*/
function getExitStatus()
{
if (is_null($this->exit_status)) {
return false;
}
return $this->exit_status;
}
/**
* Returns the number of columns for the terminal window size.
*
* @return int
* @access public
*/
function getWindowColumns()
{
return $this->windowColumns;
}
/**
* Returns the number of rows for the terminal window size.
*
* @return int
* @access public
*/
function getWindowRows()
{
return $this->windowRows;
}
/**
* Sets the number of columns for the terminal window size.
*
* @param int $value
* @access public
*/
function setWindowColumns($value)
{
$this->windowColumns = $value;
}
/**
* Sets the number of rows for the terminal window size.
*
* @param int $value
* @access public
*/
function setWindowRows($value)
{
$this->windowRows = $value;
}
/**
* Sets the number of columns and rows for the terminal window size.
*
* @param int $columns
* @param int $rows
* @access public
*/
function setWindowSize($columns = 80, $rows = 24)
{
$this->windowColumns = $columns;
$this->windowRows = $rows;
}
}
phpseclib-1.0.5/phpseclib/System/ 0000775 0000000 0000000 00000000000 13002723614 0016721 5 ustar 00root root 0000000 0000000 phpseclib-1.0.5/phpseclib/System/SSH/ 0000775 0000000 0000000 00000000000 13002723614 0017356 5 ustar 00root root 0000000 0000000 phpseclib-1.0.5/phpseclib/System/SSH/Agent.php 0000664 0000000 0000000 00000033124 13002723614 0021130 0 ustar 00root root 0000000 0000000
* login('username', $agent)) {
* exit('Login Failed');
* }
*
* echo $ssh->exec('pwd');
* echo $ssh->exec('ls -la');
* ?>
*
*
* 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 System
* @package System_SSH_Agent
* @author Jim Wigginton