/home/kueuepay/public_html/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/Formats/Keys/Common.php
<?php
/**
* Generic EC Key Parsing Helper functions
*
* PHP version 5
*
* @author Jim Wigginton <terrafrost@php.net>
* @copyright 2015 Jim Wigginton
* @license http://www.opensource.org/licenses/mit-license.html MIT License
* @link http://phpseclib.sourceforge.net
*/
namespace phpseclib3\Crypt\EC\Formats\Keys;
use phpseclib3\Common\Functions\Strings;
use phpseclib3\Crypt\EC\BaseCurves\Base as BaseCurve;
use phpseclib3\Crypt\EC\BaseCurves\Binary as BinaryCurve;
use phpseclib3\Crypt\EC\BaseCurves\Prime as PrimeCurve;
use phpseclib3\Crypt\EC\BaseCurves\TwistedEdwards as TwistedEdwardsCurve;
use phpseclib3\Exception\UnsupportedCurveException;
use phpseclib3\File\ASN1;
use phpseclib3\File\ASN1\Maps;
use phpseclib3\Math\BigInteger;
/**
* Generic EC Key Parsing Helper functions
*
* @author Jim Wigginton <terrafrost@php.net>
*/
trait Common
{
/**
* Curve OIDs
*
* @var array
*/
private static $curveOIDs = [];
/**
* Child OIDs loaded
*
* @var bool
*/
protected static $childOIDsLoaded = false;
/**
* Use Named Curves
*
* @var bool
*/
private static $useNamedCurves = true;
/**
* Initialize static variables
*/
private static function initialize_static_variables()
{
if (empty(self::$curveOIDs)) {
// the sec* curves are from the standards for efficient cryptography group
// sect* curves are curves over binary finite fields
// secp* curves are curves over prime finite fields
// sec*r* curves are regular curves; sec*k* curves are koblitz curves
// brainpool*r* curves are regular prime finite field curves
// brainpool*t* curves are twisted versions of the brainpool*r* curves
self::$curveOIDs = [
'prime192v1' => '1.2.840.10045.3.1.1', // J.5.1, example 1 (aka secp192r1)
'prime192v2' => '1.2.840.10045.3.1.2', // J.5.1, example 2
'prime192v3' => '1.2.840.10045.3.1.3', // J.5.1, example 3
'prime239v1' => '1.2.840.10045.3.1.4', // J.5.2, example 1
'prime239v2' => '1.2.840.10045.3.1.5', // J.5.2, example 2
'prime239v3' => '1.2.840.10045.3.1.6', // J.5.2, example 3
'prime256v1' => '1.2.840.10045.3.1.7', // J.5.3, example 1 (aka secp256r1)
// https://tools.ietf.org/html/rfc5656#section-10
'nistp256' => '1.2.840.10045.3.1.7', // aka secp256r1
'nistp384' => '1.3.132.0.34', // aka secp384r1
'nistp521' => '1.3.132.0.35', // aka secp521r1
'nistk163' => '1.3.132.0.1', // aka sect163k1
'nistp192' => '1.2.840.10045.3.1.1', // aka secp192r1
'nistp224' => '1.3.132.0.33', // aka secp224r1
'nistk233' => '1.3.132.0.26', // aka sect233k1
'nistb233' => '1.3.132.0.27', // aka sect233r1
'nistk283' => '1.3.132.0.16', // aka sect283k1
'nistk409' => '1.3.132.0.36', // aka sect409k1
'nistb409' => '1.3.132.0.37', // aka sect409r1
'nistt571' => '1.3.132.0.38', // aka sect571k1
// from https://tools.ietf.org/html/rfc5915
'secp192r1' => '1.2.840.10045.3.1.1', // aka prime192v1
'sect163k1' => '1.3.132.0.1',
'sect163r2' => '1.3.132.0.15',
'secp224r1' => '1.3.132.0.33',
'sect233k1' => '1.3.132.0.26',
'sect233r1' => '1.3.132.0.27',
'secp256r1' => '1.2.840.10045.3.1.7', // aka prime256v1
'sect283k1' => '1.3.132.0.16',
'sect283r1' => '1.3.132.0.17',
'secp384r1' => '1.3.132.0.34',
'sect409k1' => '1.3.132.0.36',
'sect409r1' => '1.3.132.0.37',
'secp521r1' => '1.3.132.0.35',
'sect571k1' => '1.3.132.0.38',
'sect571r1' => '1.3.132.0.39',
// from http://www.secg.org/SEC2-Ver-1.0.pdf
'secp112r1' => '1.3.132.0.6',
'secp112r2' => '1.3.132.0.7',
'secp128r1' => '1.3.132.0.28',
'secp128r2' => '1.3.132.0.29',
'secp160k1' => '1.3.132.0.9',
'secp160r1' => '1.3.132.0.8',
'secp160r2' => '1.3.132.0.30',
'secp192k1' => '1.3.132.0.31',
'secp224k1' => '1.3.132.0.32',
'secp256k1' => '1.3.132.0.10',
'sect113r1' => '1.3.132.0.4',
'sect113r2' => '1.3.132.0.5',
'sect131r1' => '1.3.132.0.22',
'sect131r2' => '1.3.132.0.23',
'sect163r1' => '1.3.132.0.2',
'sect193r1' => '1.3.132.0.24',
'sect193r2' => '1.3.132.0.25',
'sect239k1' => '1.3.132.0.3',
// from http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.202.2977&rep=rep1&type=pdf#page=36
/*
'c2pnb163v1' => '1.2.840.10045.3.0.1', // J.4.1, example 1
'c2pnb163v2' => '1.2.840.10045.3.0.2', // J.4.1, example 2
'c2pnb163v3' => '1.2.840.10045.3.0.3', // J.4.1, example 3
'c2pnb172w1' => '1.2.840.10045.3.0.4', // J.4.2, example 1
'c2tnb191v1' => '1.2.840.10045.3.0.5', // J.4.3, example 1
'c2tnb191v2' => '1.2.840.10045.3.0.6', // J.4.3, example 2
'c2tnb191v3' => '1.2.840.10045.3.0.7', // J.4.3, example 3
'c2onb191v4' => '1.2.840.10045.3.0.8', // J.4.3, example 4
'c2onb191v5' => '1.2.840.10045.3.0.9', // J.4.3, example 5
'c2pnb208w1' => '1.2.840.10045.3.0.10', // J.4.4, example 1
'c2tnb239v1' => '1.2.840.10045.3.0.11', // J.4.5, example 1
'c2tnb239v2' => '1.2.840.10045.3.0.12', // J.4.5, example 2
'c2tnb239v3' => '1.2.840.10045.3.0.13', // J.4.5, example 3
'c2onb239v4' => '1.2.840.10045.3.0.14', // J.4.5, example 4
'c2onb239v5' => '1.2.840.10045.3.0.15', // J.4.5, example 5
'c2pnb272w1' => '1.2.840.10045.3.0.16', // J.4.6, example 1
'c2pnb304w1' => '1.2.840.10045.3.0.17', // J.4.7, example 1
'c2tnb359v1' => '1.2.840.10045.3.0.18', // J.4.8, example 1
'c2pnb368w1' => '1.2.840.10045.3.0.19', // J.4.9, example 1
'c2tnb431r1' => '1.2.840.10045.3.0.20', // J.4.10, example 1
*/
// http://www.ecc-brainpool.org/download/Domain-parameters.pdf
// https://tools.ietf.org/html/rfc5639
'brainpoolP160r1' => '1.3.36.3.3.2.8.1.1.1',
'brainpoolP160t1' => '1.3.36.3.3.2.8.1.1.2',
'brainpoolP192r1' => '1.3.36.3.3.2.8.1.1.3',
'brainpoolP192t1' => '1.3.36.3.3.2.8.1.1.4',
'brainpoolP224r1' => '1.3.36.3.3.2.8.1.1.5',
'brainpoolP224t1' => '1.3.36.3.3.2.8.1.1.6',
'brainpoolP256r1' => '1.3.36.3.3.2.8.1.1.7',
'brainpoolP256t1' => '1.3.36.3.3.2.8.1.1.8',
'brainpoolP320r1' => '1.3.36.3.3.2.8.1.1.9',
'brainpoolP320t1' => '1.3.36.3.3.2.8.1.1.10',
'brainpoolP384r1' => '1.3.36.3.3.2.8.1.1.11',
'brainpoolP384t1' => '1.3.36.3.3.2.8.1.1.12',
'brainpoolP512r1' => '1.3.36.3.3.2.8.1.1.13',
'brainpoolP512t1' => '1.3.36.3.3.2.8.1.1.14'
];
ASN1::loadOIDs([
'prime-field' => '1.2.840.10045.1.1',
'characteristic-two-field' => '1.2.840.10045.1.2',
'characteristic-two-basis' => '1.2.840.10045.1.2.3',
// per http://www.secg.org/SEC1-Ver-1.0.pdf#page=84, gnBasis "not used here"
'gnBasis' => '1.2.840.10045.1.2.3.1', // NULL
'tpBasis' => '1.2.840.10045.1.2.3.2', // Trinomial
'ppBasis' => '1.2.840.10045.1.2.3.3' // Pentanomial
] + self::$curveOIDs);
}
}
/**
* Explicitly set the curve
*
* If the key contains an implicit curve phpseclib needs the curve
* to be explicitly provided
*
* @param \phpseclib3\Crypt\EC\BaseCurves\Base $curve
*/
public static function setImplicitCurve(BaseCurve $curve)
{
self::$implicitCurve = $curve;
}
/**
* Returns an instance of \phpseclib3\Crypt\EC\BaseCurves\Base based
* on the curve parameters
*
* @param array $params
* @return \phpseclib3\Crypt\EC\BaseCurves\Base|false
*/
protected static function loadCurveByParam(array $params)
{
if (count($params) > 1) {
throw new \RuntimeException('No parameters are present');
}
if (isset($params['namedCurve'])) {
$curve = '\phpseclib3\Crypt\EC\Curves\\' . $params['namedCurve'];
if (!class_exists($curve)) {
throw new UnsupportedCurveException('Named Curve of ' . $params['namedCurve'] . ' is not supported');
}
return new $curve();
}
if (isset($params['implicitCurve'])) {
if (!isset(self::$implicitCurve)) {
throw new \RuntimeException('Implicit curves can be provided by calling setImplicitCurve');
}
return self::$implicitCurve;
}
if (isset($params['specifiedCurve'])) {
$data = $params['specifiedCurve'];
switch ($data['fieldID']['fieldType']) {
case 'prime-field':
$curve = new PrimeCurve();
$curve->setModulo($data['fieldID']['parameters']);
$curve->setCoefficients(
new BigInteger($data['curve']['a'], 256),
new BigInteger($data['curve']['b'], 256)
);
$point = self::extractPoint("\0" . $data['base'], $curve);
$curve->setBasePoint(...$point);
$curve->setOrder($data['order']);
return $curve;
case 'characteristic-two-field':
$curve = new BinaryCurve();
$params = ASN1::decodeBER($data['fieldID']['parameters']);
$params = ASN1::asn1map($params[0], Maps\Characteristic_two::MAP);
$modulo = [(int) $params['m']->toString()];
switch ($params['basis']) {
case 'tpBasis':
$modulo[] = (int) $params['parameters']->toString();
break;
case 'ppBasis':
$temp = ASN1::decodeBER($params['parameters']);
$temp = ASN1::asn1map($temp[0], Maps\Pentanomial::MAP);
$modulo[] = (int) $temp['k3']->toString();
$modulo[] = (int) $temp['k2']->toString();
$modulo[] = (int) $temp['k1']->toString();
}
$modulo[] = 0;
$curve->setModulo(...$modulo);
$len = ceil($modulo[0] / 8);
$curve->setCoefficients(
Strings::bin2hex($data['curve']['a']),
Strings::bin2hex($data['curve']['b'])
);
$point = self::extractPoint("\0" . $data['base'], $curve);
$curve->setBasePoint(...$point);
$curve->setOrder($data['order']);
return $curve;
default:
throw new UnsupportedCurveException('Field Type of ' . $data['fieldID']['fieldType'] . ' is not supported');
}
}
throw new \RuntimeException('No valid parameters are present');
}
/**
* Extract points from a string
*
* Supports both compressed and uncompressed points
*
* @param string $str
* @param \phpseclib3\Crypt\EC\BaseCurves\Base $curve
* @return object[]
*/
public static function extractPoint($str, BaseCurve $curve)
{
if ($curve instanceof TwistedEdwardsCurve) {
// first step of point deciding as discussed at the following URL's:
// https://tools.ietf.org/html/rfc8032#section-5.1.3
// https://tools.ietf.org/html/rfc8032#section-5.2.3
$y = $str;
$y = strrev($y);
$sign = (bool) (ord($y[0]) & 0x80);
$y[0] = $y[0] & chr(0x7F);
$y = new BigInteger($y, 256);
if ($y->compare($curve->getModulo()) >= 0) {
throw new \RuntimeException('The Y coordinate should not be >= the modulo');
}
$point = $curve->recoverX($y, $sign);
if (!$curve->verifyPoint($point)) {
throw new \RuntimeException('Unable to verify that point exists on curve');
}
return $point;
}
// the first byte of a bit string represents the number of bits in the last byte that are to be ignored but,
// currently, bit strings wanting a non-zero amount of bits trimmed are not supported
if (($val = Strings::shift($str)) != "\0") {
throw new \UnexpectedValueException('extractPoint expects the first byte to be null - not ' . Strings::bin2hex($val));
}
if ($str == "\0") {
return [];
}
$keylen = strlen($str);
$order = $curve->getLengthInBytes();
// point compression is being used
if ($keylen == $order + 1) {
return $curve->derivePoint($str);
}
// point compression is not being used
if ($keylen == 2 * $order + 1) {
preg_match("#(.)(.{{$order}})(.{{$order}})#s", $str, $matches);
list(, $w, $x, $y) = $matches;
if ($w != "\4") {
throw new \UnexpectedValueException('The first byte of an uncompressed point should be 04 - not ' . Strings::bin2hex($val));
}
$point = [
$curve->convertInteger(new BigInteger($x, 256)),
$curve->convertInteger(new BigInteger($y, 256))
];
if (!$curve->verifyPoint($point)) {
throw new \RuntimeException('Unable to verify that point exists on curve');
}
return $point;
}
throw new \UnexpectedValueException('The string representation of the points is not of an appropriate length');
}
/**
* Encode Parameters
*
* @todo Maybe at some point this could be moved to __toString() for each of the curves?
* @param \phpseclib3\Crypt\EC\BaseCurves\Base $curve
* @param bool $returnArray optional
* @param array $options optional
* @return string|false
*/
private static function encodeParameters(BaseCurve $curve, $returnArray = false, array $options = [])
{
$useNamedCurves = isset($options['namedCurve']) ? $options['namedCurve'] : self::$useNamedCurves;
$reflect = new \ReflectionClass($curve);
$name = $reflect->getShortName();
if ($useNamedCurves) {
if (isset(self::$curveOIDs[$name])) {
if ($reflect->isFinal()) {
$reflect = $reflect->getParentClass();
$name = $reflect->getShortName();
}
return $returnArray ?
['namedCurve' => $name] :
ASN1::encodeDER(['namedCurve' => $name], Maps\ECParameters::MAP);
}
foreach (new \DirectoryIterator(__DIR__ . '/../../Curves/') as $file) {
if ($file->getExtension() != 'php') {
continue;
}
$testName = $file->getBasename('.php');
$class = 'phpseclib3\Crypt\EC\Curves\\' . $testName;
$reflect = new \ReflectionClass($class);
if ($reflect->isFinal()) {
continue;
}
$candidate = new $class();
switch ($name) {
case 'Prime':
if (!$candidate instanceof PrimeCurve) {
break;
}
if (!$candidate->getModulo()->equals($curve->getModulo())) {
break;
}
if ($candidate->getA()->toBytes() != $curve->getA()->toBytes()) {
break;
}
if ($candidate->getB()->toBytes() != $curve->getB()->toBytes()) {
break;
}
list($candidateX, $candidateY) = $candidate->getBasePoint();
list($curveX, $curveY) = $curve->getBasePoint();
if ($candidateX->toBytes() != $curveX->toBytes()) {
break;
}
if ($candidateY->toBytes() != $curveY->toBytes()) {
break;
}
return $returnArray ?
['namedCurve' => $testName] :
ASN1::encodeDER(['namedCurve' => $testName], Maps\ECParameters::MAP);
case 'Binary':
if (!$candidate instanceof BinaryCurve) {
break;
}
if ($candidate->getModulo() != $curve->getModulo()) {
break;
}
if ($candidate->getA()->toBytes() != $curve->getA()->toBytes()) {
break;
}
if ($candidate->getB()->toBytes() != $curve->getB()->toBytes()) {
break;
}
list($candidateX, $candidateY) = $candidate->getBasePoint();
list($curveX, $curveY) = $curve->getBasePoint();
if ($candidateX->toBytes() != $curveX->toBytes()) {
break;
}
if ($candidateY->toBytes() != $curveY->toBytes()) {
break;
}
return $returnArray ?
['namedCurve' => $testName] :
ASN1::encodeDER(['namedCurve' => $testName], Maps\ECParameters::MAP);
}
}
}
$order = $curve->getOrder();
// we could try to calculate the order thusly:
// https://crypto.stackexchange.com/a/27914/4520
// https://en.wikipedia.org/wiki/Schoof%E2%80%93Elkies%E2%80%93Atkin_algorithm
if (!$order) {
throw new \RuntimeException('Specified Curves need the order to be specified');
}
$point = $curve->getBasePoint();
$x = $point[0]->toBytes();
$y = $point[1]->toBytes();
if ($curve instanceof PrimeCurve) {
/*
* valid versions are:
*
* ecdpVer1:
* - neither the curve or the base point are generated verifiably randomly.
* ecdpVer2:
* - curve and base point are generated verifiably at random and curve.seed is present
* ecdpVer3:
* - base point is generated verifiably at random but curve is not. curve.seed is present
*/
// other (optional) parameters can be calculated using the methods discused at
// https://crypto.stackexchange.com/q/28947/4520
$data = [
'version' => 'ecdpVer1',
'fieldID' => [
'fieldType' => 'prime-field',
'parameters' => $curve->getModulo()
],
'curve' => [
'a' => $curve->getA()->toBytes(),
'b' => $curve->getB()->toBytes()
],
'base' => "\4" . $x . $y,
'order' => $order
];
return $returnArray ?
['specifiedCurve' => $data] :
ASN1::encodeDER(['specifiedCurve' => $data], Maps\ECParameters::MAP);
}
if ($curve instanceof BinaryCurve) {
$modulo = $curve->getModulo();
$basis = count($modulo);
$m = array_shift($modulo);
array_pop($modulo); // the last parameter should always be 0
//rsort($modulo);
switch ($basis) {
case 3:
$basis = 'tpBasis';
$modulo = new BigInteger($modulo[0]);
break;
case 5:
$basis = 'ppBasis';
// these should be in strictly ascending order (hence the commented out rsort above)
$modulo = [
'k1' => new BigInteger($modulo[2]),
'k2' => new BigInteger($modulo[1]),
'k3' => new BigInteger($modulo[0])
];
$modulo = ASN1::encodeDER($modulo, Maps\Pentanomial::MAP);
$modulo = new ASN1\Element($modulo);
}
$params = ASN1::encodeDER([
'm' => new BigInteger($m),
'basis' => $basis,
'parameters' => $modulo
], Maps\Characteristic_two::MAP);
$params = new ASN1\Element($params);
$a = ltrim($curve->getA()->toBytes(), "\0");
if (!strlen($a)) {
$a = "\0";
}
$b = ltrim($curve->getB()->toBytes(), "\0");
if (!strlen($b)) {
$b = "\0";
}
$data = [
'version' => 'ecdpVer1',
'fieldID' => [
'fieldType' => 'characteristic-two-field',
'parameters' => $params
],
'curve' => [
'a' => $a,
'b' => $b
],
'base' => "\4" . $x . $y,
'order' => $order
];
return $returnArray ?
['specifiedCurve' => $data] :
ASN1::encodeDER(['specifiedCurve' => $data], Maps\ECParameters::MAP);
}
throw new UnsupportedCurveException('Curve cannot be serialized');
}
/**
* Use Specified Curve
*
* A specified curve has all the coefficients, the base points, etc, explicitely included.
* A specified curve is a more verbose way of representing a curve
*/
public static function useSpecifiedCurve()
{
self::$useNamedCurves = false;
}
/**
* Use Named Curve
*
* A named curve does not include any parameters. It is up to the EC parameters to
* know what the coefficients, the base points, etc, are from the name of the curve.
* A named curve is a more concise way of representing a curve
*/
public static function useNamedCurve()
{
self::$useNamedCurves = true;
}
}
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"Setting up my merchant account was a breeze, and now I can accept payments effortlessly. NFC Pay has truly streamlined my operations, saving me time and hassle."
Get the NFC Pay App for Seamless Transactions Anytime, Anywhere
Unlock the full potential of NFC Pay by downloading our app, designed to bring secure, swift, and smart transactions to your fingertips. Whether you're paying at a store, transferring money to friends, or managing your business payments, the NFC Pay app makes it effortless. Available on both iOS and Android, it's your all-in-one solution for convenient and reliable digital payments. Download now and experience the future of payments!
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