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<?php |
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declare(strict_types=1); |
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namespace BitWasp\Bitcoin\Crypto\EcAdapter\Impl\PhpEcc\Adapter; |
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use BitWasp\Bitcoin\Crypto\EcAdapter\Adapter\EcAdapterInterface; |
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use BitWasp\Bitcoin\Crypto\EcAdapter\Impl\PhpEcc\Key\PrivateKey; |
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use BitWasp\Bitcoin\Crypto\EcAdapter\Impl\PhpEcc\Key\PublicKey; |
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use BitWasp\Bitcoin\Crypto\EcAdapter\Impl\PhpEcc\Signature\CompactSignature; |
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use BitWasp\Bitcoin\Crypto\EcAdapter\Key\PrivateKeyInterface; |
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use BitWasp\Bitcoin\Crypto\EcAdapter\Key\PublicKeyInterface; |
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use BitWasp\Bitcoin\Crypto\EcAdapter\Signature\CompactSignatureInterface; |
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use BitWasp\Bitcoin\Math\Math; |
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use BitWasp\Buffertools\BufferInterface; |
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use Mdanter\Ecc\Primitives\GeneratorPoint; |
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use Mdanter\Ecc\Primitives\PointInterface; |
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class EcAdapter implements EcAdapterInterface |
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{ |
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/** |
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* @var Math |
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*/ |
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private $math; |
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/** |
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* @var GeneratorPoint |
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*/ |
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private $generator; |
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/** |
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* @param Math $math |
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* @param GeneratorPoint $generator |
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*/ |
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public function __construct(Math $math, GeneratorPoint $generator) |
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{ |
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$this->math = $math; |
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$this->generator = $generator; |
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} |
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/** |
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* @return Math |
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*/ |
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public function getMath(): Math |
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{ |
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return $this->math; |
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} |
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/** |
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* @return GeneratorPoint |
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*/ |
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public function getGenerator() |
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{ |
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return $this->generator; |
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} |
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/** |
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* @return \GMP |
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*/ |
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public function getOrder(): \GMP |
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{ |
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return $this->generator->getOrder(); |
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} |
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/** |
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* @param \GMP $scalar |
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* @param bool|false $compressed |
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* @return PrivateKeyInterface |
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*/ |
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public function getPrivateKey(\GMP $scalar, bool $compressed = false): PrivateKeyInterface |
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{ |
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return new PrivateKey($this, $scalar, $compressed); |
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} |
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/** |
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* @param BufferInterface $messageHash |
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* @param CompactSignature|CompactSignatureInterface $signature |
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* @return PublicKeyInterface |
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* @throws \Exception |
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*/ |
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public function recover(BufferInterface $messageHash, CompactSignatureInterface $signature): PublicKeyInterface |
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{ |
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$math = $this->getMath(); |
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$G = $this->generator; |
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$one = gmp_init(1); |
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$r = $signature->getR(); |
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$s = $signature->getS(); |
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$isYEven = ($signature->getRecoveryId() & 1) !== 0; |
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$isSecondKey = ($signature->getRecoveryId() & 2) !== 0; |
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$curve = $G->getCurve(); |
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// Precalculate (p + 1) / 4 where p is the field order |
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$pOverFour = $math->div($math->add($curve->getPrime(), $one), gmp_init(4)); |
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// 1.1 Compute x |
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if (!$isSecondKey) { |
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$x = $r; |
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} else { |
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$x = $math->add($r, $G->getOrder()); |
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} |
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// 1.3 Convert x to point |
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$alpha = $math->mod($math->add($math->add($math->pow($x, 3), $math->mul($curve->getA(), $x)), $curve->getB()), $curve->getPrime()); |
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$beta = $math->powmod($alpha, $pOverFour, $curve->getPrime()); |
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// If beta is even, but y isn't or vice versa, then convert it, |
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// otherwise we're done and y=beta. |
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if ($math->isEven($beta) === $isYEven) { |
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$y = $math->sub($curve->getPrime(), $beta); |
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} else { |
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$y = $beta; |
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} |
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// 1.4 Check that nR is at infinity (implicitly done in constructor) |
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$R = $G->getCurve()->getPoint($x, $y); |
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$pointNegate = function (PointInterface $p) use ($math, $G) { |
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return $G->getCurve()->getPoint($p->getX(), $math->mul($p->getY(), gmp_init('-1', 10))); |
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}; |
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// 1.6.1 Compute a candidate public key Q = r^-1 (sR - eG) |
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$rInv = $math->inverseMod($r, $G->getOrder()); |
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$eGNeg = $pointNegate($G->mul($messageHash->getGmp())); |
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$Q = $R->mul($s)->add($eGNeg)->mul($rInv); |
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// 1.6.2 Test Q as a public key |
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$Qk = new PublicKey($this, $Q, $signature->isCompressed()); |
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if ($Qk->verify($messageHash, $signature->convert())) { |
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return $Qk; |
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} |
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throw new \Exception('Unable to recover public key'); |
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} |
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/** |
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* Attempt to calculate the public key recovery param by trial and error |
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* |
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* @param \GMP $r |
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* @param \GMP $s |
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* @param BufferInterface $messageHash |
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* @param PublicKey $publicKey |
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* @return int |
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* @throws \Exception |
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*/ |
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public function calcPubKeyRecoveryParam(\GMP $r, \GMP $s, BufferInterface $messageHash, PublicKey $publicKey): int |
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{ |
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$Q = $publicKey->getPoint(); |
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for ($i = 0; $i < 4; $i++) { |
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try { |
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$recover = $this->recover($messageHash, new CompactSignature($this, $r, $s, $i, $publicKey->isCompressed())); |
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if ($Q->equals($recover->getPoint())) { |
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return $i; |
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} |
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} catch (\Exception $e) { |
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continue; |
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} |
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} |
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throw new \Exception('Failed to find valid recovery factor'); |
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} |
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/** |
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* @param BufferInterface $privateKey |
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* @return bool |
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*/ |
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public function validatePrivateKey(BufferInterface $privateKey): bool |
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{ |
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$math = $this->math; |
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$scalar = $privateKey->getGmp(); |
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return $math->cmp($scalar, gmp_init(0)) > 0 && $math->cmp($scalar, $this->getOrder()) < 0; |
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} |
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/** |
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* @param \GMP $element |
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* @param bool $half |
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* @return bool |
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*/ |
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public function validateSignatureElement(\GMP $element, bool $half = false): bool |
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{ |
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$math = $this->getMath(); |
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$against = $this->getOrder(); |
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if ($half) { |
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$against = $math->rightShift($against, 1); |
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} |
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return $math->cmp($element, $against) < 0 && $math->cmp($element, gmp_init(0)) !== 0; |
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} |
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/** |
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* @param BufferInterface $publicKey |
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* @return PublicKeyInterface |
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* @throws \Exception |
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*/ |
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public function publicKeyFromBuffer(BufferInterface $publicKey): PublicKeyInterface |
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{ |
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$prefix = $publicKey->slice(0, 1)->getBinary(); |
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$size = $publicKey->getSize(); |
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$compressed = false; |
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if ($prefix === PublicKey::KEY_UNCOMPRESSED || $prefix === "\x06" || $prefix === "\x07") { |
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if ($size !== PublicKey::LENGTH_UNCOMPRESSED) { |
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throw new \Exception('Invalid length for uncompressed key'); |
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} |
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} else if ($prefix === PublicKey::KEY_COMPRESSED_EVEN || $prefix === PublicKey::KEY_COMPRESSED_ODD) { |
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if ($size !== PublicKey::LENGTH_COMPRESSED) { |
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throw new \Exception('Invalid length for compressed key'); |
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} |
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$compressed = true; |
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} else { |
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throw new \Exception('Unknown public key prefix'); |
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} |
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$x = $publicKey->slice(1, 32)->getGmp(); |
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$curve = $this->generator->getCurve(); |
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$y = $compressed |
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? $curve->recoverYfromX($prefix === PublicKey::KEY_COMPRESSED_ODD, $x) |
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: $publicKey->slice(33, 32)->getGmp(); |
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return new PublicKey( |
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$this, |
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$curve->getPoint($x, $y), |
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$compressed, |
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$prefix |
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); |
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} |
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} |
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