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);
}