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handleKey($key); $modulusLength = mb_strlen($key->n(), '8bit'); $em = $this->encodeEMSAPSS($data, 8 * $modulusLength - 1, $this->getHashAlgorithm()); $message = BigInteger::createFromBinaryString($em); $signature = $this->exponentiate($key, $message); return $this->convertIntegerToOctetString($signature, $modulusLength); } public function verify(string $data, Key $key, string $signature): bool { $key = $this->handleKey($key); $modulusLength = mb_strlen($key->n(), '8bit'); if (mb_strlen($signature, '8bit') !== $modulusLength) { throw new InvalidArgumentException('Invalid modulus length'); } $s2 = BigInteger::createFromBinaryString($signature); $m2 = $this->exponentiate($key, $s2); $em = $this->convertIntegerToOctetString($m2, $modulusLength); $modBits = 8 * $modulusLength; return $this->verifyEMSAPSS($data, $em, $modBits - 1, $this->getHashAlgorithm()); } private function handleKey(Key $key): RsaKey { return new RsaKey($key->getData()); } abstract protected function getHashAlgorithm(): Hash; private function convertIntegerToOctetString(BigInteger $x, int $xLen): string { $x = $x->toBytes(); if (mb_strlen($x, '8bit') > $xLen) { throw new RuntimeException('Unable to convert the integer'); } return str_pad($x, $xLen, \chr(0), STR_PAD_LEFT); } /** * MGF1. */ private function getMGF1(string $mgfSeed, int $maskLen, Hash $mgfHash): string { $t = ''; $count = ceil($maskLen / $mgfHash->getLength()); for ($i = 0; $i < $count; ++$i) { $c = pack('N', $i); $t .= $mgfHash->hash($mgfSeed.$c); } return mb_substr($t, 0, $maskLen, '8bit'); } /** * EMSA-PSS-ENCODE. */ private function encodeEMSAPSS(string $message, int $modulusLength, Hash $hash): string { $emLen = ($modulusLength + 1) >> 3; $sLen = $hash->getLength(); $mHash = $hash->hash($message); if ($emLen <= $hash->getLength() + $sLen + 2) { throw new RuntimeException(); } $salt = random_bytes($sLen); $m2 = "\0\0\0\0\0\0\0\0".$mHash.$salt; $h = $hash->hash($m2); $ps = str_repeat(\chr(0), $emLen - $sLen - $hash->getLength() - 2); $db = $ps.\chr(1).$salt; $dbMask = $this->getMGF1($h, $emLen - $hash->getLength() - 1, $hash); $maskedDB = $db ^ $dbMask; $maskedDB[0] = ~\chr(0xFF << ($modulusLength & 7)) & $maskedDB[0]; return $maskedDB.$h.\chr(0xBC); } /** * EMSA-PSS-VERIFY. */ private function verifyEMSAPSS(string $m, string $em, int $emBits, Hash $hash): bool { $emLen = ($emBits + 1) >> 3; $sLen = $hash->getLength(); $mHash = $hash->hash($m); if ($emLen < $hash->getLength() + $sLen + 2) { throw new InvalidArgumentException(); } if ($em[mb_strlen($em, '8bit') - 1] !== \chr(0xBC)) { throw new InvalidArgumentException(); } $maskedDB = mb_substr($em, 0, -$hash->getLength() - 1, '8bit'); $h = mb_substr($em, -$hash->getLength() - 1, $hash->getLength(), '8bit'); $temp = \chr(0xFF << ($emBits & 7)); if ((~$maskedDB[0] & $temp) !== $temp) { throw new InvalidArgumentException(); } $dbMask = $this->getMGF1($h, $emLen - $hash->getLength() - 1, $hash/*MGF*/); $db = $maskedDB ^ $dbMask; $db[0] = ~\chr(0xFF << ($emBits & 7)) & $db[0]; $temp = $emLen - $hash->getLength() - $sLen - 2; if (mb_substr($db, 0, $temp, '8bit') !== str_repeat(\chr(0), $temp)) { throw new InvalidArgumentException(); } if (1 !== \ord($db[$temp])) { throw new InvalidArgumentException(); } $salt = mb_substr($db, $temp + 1, null, '8bit'); // should be $sLen long $m2 = "\0\0\0\0\0\0\0\0".$mHash.$salt; $h2 = $hash->hash($m2); return hash_equals($h, $h2); } /** * Exponentiate with or without Chinese Remainder Theorem. * Operation with primes 'p' and 'q' is appox. 2x faster. */ public function exponentiate(RsaKey $key, BigInteger $c): BigInteger { if ($c->compare(BigInteger::createFromDecimal(0)) < 0 || $c->compare(BigInteger::createFromBinaryString($key->n())) > 0) { throw new RuntimeException(); } if ($key->isPublic() || !$key->hasPrimes() || !$key->hasExponents() || !$key->hasCoefficient()) { return $c->modPow(BigInteger::createFromBinaryString($key->e()), BigInteger::createFromBinaryString($key->n())); } $p = $key->primes()[0]; $q = $key->primes()[1]; $dP = $key->exponents()[0]; $dQ = $key->exponents()[1]; $qInv = BigInteger::createFromBinaryString($key->QInv()); $m1 = $c->modPow($dP, $p); $m2 = $c->modPow($dQ, $q); $h = $qInv->multiply($m1->subtract($m2)->add($p))->mod($p); return $m2->add($h->multiply($q)); } }