public function atestDeterministicSign() { $f = file_get_contents(__DIR__ . '/../../data/rfc6979.json'); $json = json_decode($f); $math = $this->math; $G = $this->G; foreach ($json->test as $test) { $G = CurveFactory::getGeneratorByName($test->curve); // Initialize private key and message hash (decimal) $privateKey = new PrivateKey($math, $G, $math->hexDec($test->privKey)); $messageHash = $this->math->hexDec(hash($test->algorithm, $test->message)); // Derive K $drbg = RandomGeneratorFactory::getHmacRandomGenerator($privateKey, $messageHash, $test->algorithm); // K must be correct (from privatekey and message hash) $k = $drbg->generate($G->getOrder()); $this->assertEquals(strtolower($test->expectedK), $math->decHex($k)); $hashBits = $this->math->baseConvert($messageHash, 10, 2); $size = NumberSize::bnNumBits($this->math, $messageHash); $messageHash = $this->math->baseConvert(substr($hashBits, 0, $size), 2, 10); $signer = new Signer($math); $sig = $signer->sign($privateKey, $messageHash, $k); // R and S should be correct $sR = $this->math->hexDec($test->expectedR); $sS = $this->math->hexDec($test->expectedS); $this->assertTrue($signer->verify($privateKey->getPublicKey(), $sig, $messageHash)); $this->assertSame($sR, $sig->getR(), 'r'); $this->assertSame($sS, $sig->getS(), 's'); } }
/** * @param GeneratorPoint $G * @param $hash * @return int|string */ public function truncateHash(GeneratorPoint $G, $hash) { $hexSize = strlen($this->adapter->decHex($hash)); $hashBits = $this->adapter->baseConvert($hash, 10, 2); if (strlen($hashBits) < $hexSize * 4) { $hashBits = str_pad($hashBits, $hexSize * 4, '0', STR_PAD_LEFT); } $messageHash = $this->adapter->baseConvert(substr($hashBits, 0, NumberSize::bnNumBits($this->adapter, $G->getOrder())), 2, 10); return $messageHash; }
/** * @dataProvider getHmacTestSet * @param GeneratorPoint $G * @param integer $size * @param string $privKey * @param string $algo * @param string $message * @param string $eK expected K hex * @param string $eR expected R hex * @param string $eS expected S hex */ public function testHmacSignatures(GeneratorPoint $G, $size, $privKey, $algo, $message, $eK, $eR, $eS) { //echo "Try {$test->curve} / {$test->algorithm} / '{$test->message}'\n"; $math = $G->getAdapter(); // Initialize private key and message hash (decimal) $privateKey = $G->getPrivateKeyFrom($math->hexDec($privKey)); $hashHex = hash($algo, $message); $messageHash = $math->hexDec($hashHex); // Derive K $drbg = RandomGeneratorFactory::getHmacRandomGenerator($privateKey, $messageHash, $algo); $k = $drbg->generate($G->getOrder()); $this->assertEquals($k, $math->hexdec($eK), 'k'); $hexSize = strlen($hashHex); $hashBits = $math->baseConvert($messageHash, 10, 2); if (strlen($hashBits) < $hexSize * 4) { $hashBits = str_pad($hashBits, $hexSize * 4, '0', STR_PAD_LEFT); } $messageHash = $math->baseConvert(substr($hashBits, 0, NumberSize::bnNumBits($math, $G->getOrder())), 2, 10); $signer = new Signer($math); $sig = $signer->sign($privateKey, $messageHash, $k); // Should be consistent $this->assertTrue($signer->verify($privateKey->getPublicKey(), $sig, $messageHash)); // R and S should be correct $sR = $math->hexDec($eR); $sS = $math->hexDec($eS); $this->assertSame($sR, $sig->getR(), "r {$sR} == " . $sig->getR()); $this->assertSame($sS, $sig->getS(), "s {$sR} == " . $sig->getS()); }
/** * @dataProvider getBnNumBitsNumbers */ public function testNumBits(MathAdapterInterface $adapter, $number, $expected) { $size = NumberSize::bnNumBits($adapter, $adapter->hexDec($number)); $this->assertEquals($expected, $size); }
private function bitLength($number) { return NumberSize::bnNumBits($this->math, $number); }