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<?php |
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declare(strict_types=1); |
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namespace BitWasp\Bitcoin\Crypto\EcAdapter\Impl\PhpEcc\Signature; |
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use BitWasp\Bitcoin\Crypto\EcAdapter\Impl\PhpEcc\Adapter\EcAdapter; |
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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\Buffertools\BufferInterface; |
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class SchnorrSigner |
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{ |
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/** |
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* @var EcAdapter |
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*/ |
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private $adapter; |
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public function __construct(EcAdapter $ecAdapter) |
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{ |
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$this->adapter = $ecAdapter; |
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} |
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/** |
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* @param PrivateKey $privateKey |
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* @param BufferInterface $message32 |
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* @return Signature |
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*/ |
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public function sign(PrivateKey $privateKey, BufferInterface $message32): Signature |
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{ |
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$G = $this->adapter->getGenerator(); |
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$n = $G->getOrder(); |
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$k = $this->hashPrivateData($privateKey, $message32, $n); |
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$R = $G->mul($k); |
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if (gmp_cmp(gmp_jacobi($R->getY(), $G->getCurve()->getPrime()), 1) !== 0) { |
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$k = gmp_sub($G->getOrder(), $k); |
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} |
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$e = $this->hashPublicData($R->getX(), $privateKey->getPublicKey(), $message32, $n); |
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$s = gmp_mod(gmp_add($k, gmp_mod(gmp_mul($e, $privateKey->getSecret()), $n)), $n); |
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return new Signature($this->adapter, $R->getX(), $s); |
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} |
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/** |
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* @param \GMP $n |
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* @return string |
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*/ |
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private function tob32(\GMP $n): string |
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{ |
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return $this->adapter->getMath()->intToFixedSizeString($n, 32); |
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} |
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/** |
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* @param PrivateKey $privateKey |
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* @param BufferInterface $message32 |
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* @param \GMP $n |
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* @return \GMP |
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*/ |
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private function hashPrivateData(PrivateKey $privateKey, BufferInterface $message32, \GMP $n): \GMP |
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{ |
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$hasher = hash_init('sha256'); |
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hash_update($hasher, $this->tob32($privateKey->getSecret())); |
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hash_update($hasher, $message32->getBinary()); |
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return gmp_mod(gmp_init(hash_final($hasher, false), 16), $n); |
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} |
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/** |
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* @param \GMP $Rx |
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* @param PublicKey $publicKey |
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* @param BufferInterface $message32 |
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* @param \GMP $n |
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* @param string|null $rxBytes |
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* @return \GMP |
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*/ |
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private function hashPublicData(\GMP $Rx, PublicKey $publicKey, BufferInterface $message32, \GMP $n, string &$rxBytes = null): \GMP |
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{ |
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$hasher = hash_init('sha256'); |
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$rxBytes = $this->tob32($Rx); |
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hash_update($hasher, $rxBytes); |
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hash_update($hasher, $publicKey->getBinary()); |
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hash_update($hasher, $message32->getBinary()); |
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return gmp_mod(gmp_init(hash_final($hasher, false), 16), $n); |
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} |
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public function verify(BufferInterface $message32, PublicKey $publicKey, Signature $signature): bool |
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{ |
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$G = $this->adapter->getGenerator(); |
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$n = $G->getOrder(); |
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$p = $G->getCurve()->getPrime(); |
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if (gmp_cmp($signature->getR(), $p) >= 0 || gmp_cmp($signature->getR(), $n) >= 0) { |
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return false; |
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} |
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$RxBytes = null; |
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$e = $this->hashPublicData($signature->getR(), $publicKey, $message32, $n, $RxBytes); |
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$R = $G->mul($signature->getS())->add($publicKey->tweakMul(gmp_sub($G->getOrder(), $e))->getPoint()); |
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$jacobiNotOne = gmp_cmp(gmp_jacobi($R->getY(), $p), 1) !== 0; |
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$rxNotEquals = !hash_equals($RxBytes, $this->tob32($R->getX())); |
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if ($jacobiNotOne || $rxNotEquals) { |
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return false; |
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} |
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return true; |
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} |
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} |
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Bit-Wasp /
bitcoin-php
