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<?php |
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declare(strict_types=1); |
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/* |
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* The MIT License (MIT) |
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* |
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* Copyright (c) 2014-2017 Spomky-Labs |
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* |
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* This software may be modified and distributed under the terms |
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* of the MIT license. See the LICENSE file for details. |
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*/ |
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namespace Jose\Component\Signature\Util; |
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use Jose\Component\Core\Util\BigInteger; |
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use Jose\Component\KeyManagement\KeyConverter\RSAKey; |
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final class RSA |
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{ |
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/** |
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* @param BigInteger $x |
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* @param int $xLen |
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* |
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* @return string |
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*/ |
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private static function convertIntegerToOctetString(BigInteger $x, int $xLen): string |
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{ |
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$x = $x->toBytes(); |
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if (strlen($x) > $xLen) { |
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throw new \RuntimeException(); |
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} |
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return str_pad($x, $xLen, chr(0), STR_PAD_LEFT); |
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} |
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/** |
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* Exponentiate with or without Chinese Remainder Theorem. |
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* Operation with primes 'p' and 'q' is appox. 2x faster. |
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* |
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* @param RSAKey $key |
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* @param BigInteger $c |
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* |
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* @return BigInteger |
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*/ |
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private static function exponentiate(RSAKey $key, BigInteger $c): BigInteger |
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{ |
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if ($c->compare(BigInteger::createFromDecimal(0)) < 0 || $c->compare($key->getModulus()) > 0) { |
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throw new \RuntimeException(); |
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} |
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if ($key->isPublic() || empty($key->getPrimes())) { |
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return $c->modPow($key->getExponent(), $key->getModulus()); |
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} |
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$p = $key->getPrimes()[0]; |
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$q = $key->getPrimes()[1]; |
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$dP = $key->getExponents()[0]; |
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$dQ = $key->getExponents()[1]; |
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$qInv = $key->getCoefficient(); |
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$m1 = $c->modPow($dP, $p); |
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$m2 = $c->modPow($dQ, $q); |
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$h = $qInv->multiply($m1->subtract($m2)->add($p))->mod($p); |
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$m = $m2->add($h->multiply($q)); |
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return $m; |
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} |
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/** |
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* MGF1. |
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* |
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* @param string $mgfSeed |
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* @param int $maskLen |
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* @param Hash $mgfHash |
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* |
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* @return string |
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*/ |
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private static function getMGF1(string $mgfSeed, int $maskLen, Hash $mgfHash): string |
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{ |
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$t = ''; |
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$count = ceil($maskLen / $mgfHash->getLength()); |
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for ($i = 0; $i < $count; ++$i) { |
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$c = pack('N', $i); |
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$t .= $mgfHash->hash($mgfSeed.$c); |
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} |
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return mb_substr($t, 0, $maskLen, '8bit'); |
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} |
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/** |
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* EMSA-PSS-ENCODE. |
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* |
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* @param string $message |
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* @param int $modulusLength |
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* @param Hash $hash |
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* |
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* @return string |
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*/ |
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private static function encodeEMSAPSS(string $message, int $modulusLength, Hash $hash): string |
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{ |
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$emLen = ($modulusLength + 1) >> 3; |
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$sLen = $hash->getLength(); |
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$mHash = $hash->hash($message); |
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if ($emLen <= $hash->getLength() + $sLen + 2) { |
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throw new \RuntimeException(); |
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} |
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$salt = random_bytes($sLen); |
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$m2 = "\0\0\0\0\0\0\0\0".$mHash.$salt; |
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$h = $hash->hash($m2); |
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$ps = str_repeat(chr(0), $emLen - $sLen - $hash->getLength() - 2); |
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$db = $ps.chr(1).$salt; |
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$dbMask = self::getMGF1($h, $emLen - $hash->getLength() - 1, $hash); |
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$maskedDB = $db ^ $dbMask; |
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$maskedDB[0] = ~chr(0xFF << ($modulusLength & 7)) & $maskedDB[0]; |
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$em = $maskedDB.$h.chr(0xBC); |
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return $em; |
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} |
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/** |
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* EMSA-PSS-VERIFY. |
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* |
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* @param string $m |
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* @param string $em |
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* @param int $emBits |
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* @param Hash $hash |
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* |
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* @return bool |
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*/ |
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private static function verifyEMSAPSS(string $m, string $em, int $emBits, Hash $hash): bool |
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{ |
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$emLen = ($emBits + 1) >> 3; |
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$sLen = $hash->getLength(); |
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$mHash = $hash->hash($m); |
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if ($emLen < $hash->getLength() + $sLen + 2 ) {throw new \InvalidArgumentException();} |
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if ($em[mb_strlen($em, '8bit') - 1] !== chr(0xBC)) {throw new \InvalidArgumentException();} |
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$maskedDB = mb_substr($em, 0, -$hash->getLength() - 1, '8bit'); |
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$h = mb_substr($em, -$hash->getLength() - 1, $hash->getLength(), '8bit'); |
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$temp = chr(0xFF << ($emBits & 7)); |
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if ((~$maskedDB[0] & $temp) !== $temp) {throw new \InvalidArgumentException();} |
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$dbMask = self::getMGF1($h, $emLen - $hash->getLength() - 1, $hash/*MGF*/); |
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$db = $maskedDB ^ $dbMask; |
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$db[0] = ~chr(0xFF << ($emBits & 7)) & $db[0]; |
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$temp = $emLen - $hash->getLength() - $sLen - 2; |
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if (mb_substr($db, 0, $temp, '8bit') !== str_repeat(chr(0), $temp)) {throw new \InvalidArgumentException();} |
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if (1 !== ord($db[$temp])) {throw new \InvalidArgumentException();} |
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$salt = mb_substr($db, $temp + 1, null, '8bit'); // should be $sLen long |
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$m2 = "\0\0\0\0\0\0\0\0".$mHash.$salt; |
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$h2 = $hash->hash($m2); |
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return hash_equals($h, $h2); |
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} |
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/** |
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* Create a signature. |
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* |
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* @param RSAKey $key |
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* @param string $message |
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* @param string $hash |
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* |
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* @return string |
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*/ |
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public static function sign(RSAKey $key, string $message, string $hash): string |
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{ |
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if (!in_array($hash, ['sha256', 'sha384', 'sha512'])) { |
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throw new \InvalidArgumentException(); |
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} |
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$em = self::encodeEMSAPSS($message, 8 * $key->getModulusLength() - 1, Hash::$hash()); |
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$message = BigInteger::createFromBinaryString($em); |
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$signature = self::exponentiate($key, $message); |
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return self::convertIntegerToOctetString($signature, $key->getModulusLength()); |
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} |
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/** |
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* Verifies a signature. |
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* |
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* @param RSAKey $key |
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* @param string $message |
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* @param string $signature |
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* @param string $hash |
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* |
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* @return bool |
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*/ |
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public static function verify(RSAKey $key, string $message, string $signature, string $hash): bool |
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{ |
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if (!in_array($hash, ['sha256', 'sha384', 'sha512'])) { |
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throw new \InvalidArgumentException(); |
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} |
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if (strlen($signature) !== $key->getModulusLength()) { |
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throw new \InvalidArgumentException(); |
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} |
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$modBits = 8 * $key->getModulusLength(); |
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$s2 = BigInteger::createFromBinaryString($signature); |
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$m2 = self::exponentiate($key, $s2); |
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$em = self::convertIntegerToOctetString($m2, $modBits >> 3); |
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return self::verifyEMSAPSS($message, $em, $modBits - 1, Hash::$hash()); |
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} |
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} |
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Spomky-Labs /
jose
