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<?php /** * Pure-PHP implementation of EC. * * PHP version 5 * * Here's an example of how to create signatures and verify signatures with this library: * <code> * <?php * include 'vendor/autoload.php'; * * $private = \phpseclib3\Crypt\EC::createKey('secp256k1'); * $public = $private->getPublicKey(); * * $plaintext = 'terrafrost'; * * $signature = $private->sign($plaintext); * * echo $public->verify($plaintext, $signature) ? 'verified' : 'unverified'; * ?> * </code> * * @author Jim Wigginton <terrafrost@php.net> * @copyright 2016 Jim Wigginton * @license http://www.opensource.org/licenses/mit-license.html MIT License * @link http://phpseclib.sourceforge.net */ namespace phpseclib3\Crypt; use phpseclib3\Crypt\Common\AsymmetricKey; use phpseclib3\Crypt\EC\BaseCurves\Montgomery as MontgomeryCurve; use phpseclib3\Crypt\EC\BaseCurves\TwistedEdwards as TwistedEdwardsCurve; use phpseclib3\Crypt\EC\Curves\Curve25519; use phpseclib3\Crypt\EC\Curves\Ed25519; use phpseclib3\Crypt\EC\Curves\Ed448; use phpseclib3\Crypt\EC\Formats\Keys\PKCS1; use phpseclib3\Crypt\EC\Parameters; use phpseclib3\Crypt\EC\PrivateKey; use phpseclib3\Crypt\EC\PublicKey; use phpseclib3\Exception\UnsupportedAlgorithmException; use phpseclib3\Exception\UnsupportedCurveException; use phpseclib3\Exception\UnsupportedOperationException; use phpseclib3\File\ASN1; use phpseclib3\File\ASN1\Maps\ECParameters; use phpseclib3\Math\BigInteger; /** * Pure-PHP implementation of EC. * * @author Jim Wigginton <terrafrost@php.net> */ abstract class EC extends AsymmetricKey { /** * Algorithm Name * * @var string */ const ALGORITHM = 'EC'; /** * Public Key QA * * @var object[] */ protected $QA; /** * Curve * * @var \phpseclib3\Crypt\EC\BaseCurves\Base */ protected $curve; /** * Signature Format * * @var string */ protected $format; /** * Signature Format (Short) * * @var string */ protected $shortFormat; /** * Curve Name * * @var string */ private $curveName; /** * Curve Order * * Used for deterministic ECDSA * * @var \phpseclib3\Math\BigInteger */ protected $q; /** * Alias for the private key * * Used for deterministic ECDSA. AsymmetricKey expects $x. I don't like x because * with x you have x * the base point yielding an (x, y)-coordinate that is the * public key. But the x is different depending on which side of the equal sign * you're on. It's less ambiguous if you do dA * base point = (x, y)-coordinate. * * @var \phpseclib3\Math\BigInteger */ protected $x; /** * Context * * @var string */ protected $context; /** * Signature Format * * @var string */ protected $sigFormat; /** * Create public / private key pair. * * @param string $curve * @return \phpseclib3\Crypt\EC\PrivateKey */ public static function createKey($curve) { self::initialize_static_variables(); $class = new \ReflectionClass(static::class); if ($class->isFinal()) { throw new \RuntimeException('createKey() should not be called from final classes (' . static::class . ')'); } if (!isset(self::$engines['PHP'])) { self::useBestEngine(); } $curve = strtolower($curve); if (self::$engines['libsodium'] && $curve == 'ed25519' && function_exists('sodium_crypto_sign_keypair')) { $kp = sodium_crypto_sign_keypair(); $privatekey = EC::loadFormat('libsodium', sodium_crypto_sign_secretkey($kp)); //$publickey = EC::loadFormat('libsodium', sodium_crypto_sign_publickey($kp)); $privatekey->curveName = 'Ed25519'; //$publickey->curveName = $curve; return $privatekey; } $privatekey = new PrivateKey(); $curveName = $curve; if (preg_match('#(?:^curve|^ed)\d+$#', $curveName)) { $curveName = ucfirst($curveName); } elseif (substr($curveName, 0, 10) == 'brainpoolp') { $curveName = 'brainpoolP' . substr($curveName, 10); } $curve = '\phpseclib3\Crypt\EC\Curves\\' . $curveName; if (!class_exists($curve)) { throw new UnsupportedCurveException('Named Curve of ' . $curveName . ' is not supported'); } $reflect = new \ReflectionClass($curve); $curveName = $reflect->isFinal() ? $reflect->getParentClass()->getShortName() : $reflect->getShortName(); $curve = new $curve(); if ($curve instanceof TwistedEdwardsCurve) { $arr = $curve->extractSecret(Random::string($curve instanceof Ed448 ? 57 : 32)); $privatekey->dA = $dA = $arr['dA']; $privatekey->secret = $arr['secret']; } else { $privatekey->dA = $dA = $curve->createRandomMultiplier(); } if ($curve instanceof Curve25519 && self::$engines['libsodium']) { //$r = pack('H*', '0900000000000000000000000000000000000000000000000000000000000000'); //$QA = sodium_crypto_scalarmult($dA->toBytes(), $r); $QA = sodium_crypto_box_publickey_from_secretkey($dA->toBytes()); $privatekey->QA = [$curve->convertInteger(new BigInteger(strrev($QA), 256))]; } else { $privatekey->QA = $curve->multiplyPoint($curve->getBasePoint(), $dA); } $privatekey->curve = $curve; //$publickey = clone $privatekey; //unset($publickey->dA); //unset($publickey->x); $privatekey->curveName = $curveName; //$publickey->curveName = $curveName; if ($privatekey->curve instanceof TwistedEdwardsCurve) { return $privatekey->withHash($curve::HASH); } return $privatekey; } /** * OnLoad Handler * * @return bool */ protected static function onLoad(array $components) { if (!isset(self::$engines['PHP'])) { self::useBestEngine(); } if (!isset($components['dA']) && !isset($components['QA'])) { $new = new Parameters(); $new->curve = $components['curve']; return $new; } $new = isset($components['dA']) ? new PrivateKey() : new PublicKey(); $new->curve = $components['curve']; $new->QA = $components['QA']; if (isset($components['dA'])) { $new->dA = $components['dA']; $new->secret = $components['secret']; } if ($new->curve instanceof TwistedEdwardsCurve) { return $new->withHash($components['curve']::HASH); } return $new; } /** * Constructor * * PublicKey and PrivateKey objects can only be created from abstract RSA class */ protected function __construct() { $this->sigFormat = self::validatePlugin('Signature', 'ASN1'); $this->shortFormat = 'ASN1'; parent::__construct(); } /** * Returns the curve * * Returns a string if it's a named curve, an array if not * * @return string|array */ public function getCurve() { if ($this->curveName) { return $this->curveName; } if ($this->curve instanceof MontgomeryCurve) { $this->curveName = $this->curve instanceof Curve25519 ? 'Curve25519' : 'Curve448'; return $this->curveName; } if ($this->curve instanceof TwistedEdwardsCurve) { $this->curveName = $this->curve instanceof Ed25519 ? 'Ed25519' : 'Ed448'; return $this->curveName; } $params = $this->getParameters()->toString('PKCS8', ['namedCurve' => true]); $decoded = ASN1::extractBER($params); $decoded = ASN1::decodeBER($decoded); $decoded = ASN1::asn1map($decoded[0], ECParameters::MAP); if (isset($decoded['namedCurve'])) { $this->curveName = $decoded['namedCurve']; return $decoded['namedCurve']; } if (!$namedCurves) { PKCS1::useSpecifiedCurve(); } return $decoded; } /** * Returns the key size * * Quoting https://tools.ietf.org/html/rfc5656#section-2, * * "The size of a set of elliptic curve domain parameters on a prime * curve is defined as the number of bits in the binary representation * of the field order, commonly denoted by p. Size on a * characteristic-2 curve is defined as the number of bits in the binary * representation of the field, commonly denoted by m. A set of * elliptic curve domain parameters defines a group of order n generated * by a base point P" * * @return int */ public function getLength() { return $this->curve->getLength(); } /** * Returns the current engine being used * * @see self::useInternalEngine() * @see self::useBestEngine() * @return string */ public function getEngine() { if (!isset(self::$engines['PHP'])) { self::useBestEngine(); } if ($this->curve instanceof TwistedEdwardsCurve) { return $this->curve instanceof Ed25519 && self::$engines['libsodium'] && !isset($this->context) ? 'libsodium' : 'PHP'; } return self::$engines['OpenSSL'] && in_array($this->hash->getHash(), openssl_get_md_methods()) ? 'OpenSSL' : 'PHP'; } /** * Returns the public key coordinates as a string * * Used by ECDH * * @return string */ public function getEncodedCoordinates() { if ($this->curve instanceof MontgomeryCurve) { return strrev($this->QA[0]->toBytes(true)); } if ($this->curve instanceof TwistedEdwardsCurve) { return $this->curve->encodePoint($this->QA); } return "\4" . $this->QA[0]->toBytes(true) . $this->QA[1]->toBytes(true); } /** * Returns the parameters * * @see self::getPublicKey() * @param string $type optional * @return mixed */ public function getParameters($type = 'PKCS1') { $type = self::validatePlugin('Keys', $type, 'saveParameters'); $key = $type::saveParameters($this->curve); return EC::load($key, 'PKCS1') ->withHash($this->hash->getHash()) ->withSignatureFormat($this->shortFormat); } /** * Determines the signature padding mode * * Valid values are: ASN1, SSH2, Raw * * @param string $format */ public function withSignatureFormat($format) { if ($this->curve instanceof MontgomeryCurve) { throw new UnsupportedOperationException('Montgomery Curves cannot be used to create signatures'); } $new = clone $this; $new->shortFormat = $format; $new->sigFormat = self::validatePlugin('Signature', $format); return $new; } /** * Returns the signature format currently being used * */ public function getSignatureFormat() { return $this->shortFormat; } /** * Sets the context * * Used by Ed25519 / Ed448. * * @see self::sign() * @see self::verify() * @param string $context optional */ public function withContext($context = null) { if (!$this->curve instanceof TwistedEdwardsCurve) { throw new UnsupportedCurveException('Only Ed25519 and Ed448 support contexts'); } $new = clone $this; if (!isset($context)) { $new->context = null; return $new; } if (!is_string($context)) { throw new \InvalidArgumentException('setContext expects a string'); } if (strlen($context) > 255) { throw new \LengthException('The context is supposed to be, at most, 255 bytes long'); } $new->context = $context; return $new; } /** * Returns the signature format currently being used * */ public function getContext() { return $this->context; } /** * Determines which hashing function should be used * * @param string $hash */ public function withHash($hash) { if ($this->curve instanceof MontgomeryCurve) { throw new UnsupportedOperationException('Montgomery Curves cannot be used to create signatures'); } if ($this->curve instanceof Ed25519 && $hash != 'sha512') { throw new UnsupportedAlgorithmException('Ed25519 only supports sha512 as a hash'); } if ($this->curve instanceof Ed448 && $hash != 'shake256-912') { throw new UnsupportedAlgorithmException('Ed448 only supports shake256 with a length of 114 bytes'); } return parent::withHash($hash); } /** * __toString() magic method * * @return string */ public function __toString() { if ($this->curve instanceof MontgomeryCurve) { return ''; } return parent::__toString(); } }