static function _sha512($m, $hash)
{
static $k;
if (!isset($k)) {
// Initialize table of round constants
// (first 64 bits of the fractional parts of the cube roots of the first 80 primes 2..409)
$k = array('428a2f98d728ae22', '7137449123ef65cd', 'b5c0fbcfec4d3b2f', 'e9b5dba58189dbbc', '3956c25bf348b538', '59f111f1b605d019', '923f82a4af194f9b', 'ab1c5ed5da6d8118', 'd807aa98a3030242', '12835b0145706fbe', '243185be4ee4b28c', '550c7dc3d5ffb4e2', '72be5d74f27b896f', '80deb1fe3b1696b1', '9bdc06a725c71235', 'c19bf174cf692694', 'e49b69c19ef14ad2', 'efbe4786384f25e3', '0fc19dc68b8cd5b5', '240ca1cc77ac9c65', '2de92c6f592b0275', '4a7484aa6ea6e483', '5cb0a9dcbd41fbd4', '76f988da831153b5', '983e5152ee66dfab', 'a831c66d2db43210', 'b00327c898fb213f', 'bf597fc7beef0ee4', 'c6e00bf33da88fc2', 'd5a79147930aa725', '06ca6351e003826f', '142929670a0e6e70', '27b70a8546d22ffc', '2e1b21385c26c926', '4d2c6dfc5ac42aed', '53380d139d95b3df', '650a73548baf63de', '766a0abb3c77b2a8', '81c2c92e47edaee6', '92722c851482353b', 'a2bfe8a14cf10364', 'a81a664bbc423001', 'c24b8b70d0f89791', 'c76c51a30654be30', 'd192e819d6ef5218', 'd69906245565a910', 'f40e35855771202a', '106aa07032bbd1b8', '19a4c116b8d2d0c8', '1e376c085141ab53', '2748774cdf8eeb99', '34b0bcb5e19b48a8', '391c0cb3c5c95a63', '4ed8aa4ae3418acb', '5b9cca4f7763e373', '682e6ff3d6b2b8a3', '748f82ee5defb2fc', '78a5636f43172f60', '84c87814a1f0ab72', '8cc702081a6439ec', '90befffa23631e28', 'a4506cebde82bde9', 'bef9a3f7b2c67915', 'c67178f2e372532b', 'ca273eceea26619c', 'd186b8c721c0c207', 'eada7dd6cde0eb1e', 'f57d4f7fee6ed178', '06f067aa72176fba', '0a637dc5a2c898a6', '113f9804bef90dae', '1b710b35131c471b', '28db77f523047d84', '32caab7b40c72493', '3c9ebe0a15c9bebc', '431d67c49c100d4c', '4cc5d4becb3e42b6', '597f299cfc657e2a', '5fcb6fab3ad6faec', '6c44198c4a475817');
for ($i = 0; $i < 80; $i++) {
$k[$i] = new BigInteger($k[$i], 16);
}
}
// Pre-processing
$length = strlen($m);
// to round to nearest 112 mod 128, we'll add 128 - (length + (128 - 112)) % 128
$m .= str_repeat(chr(0), 128 - ($length + 16 & 0x7f));
$m[$length] = chr(0x80);
// we don't support hashing strings 512MB long
$m .= pack('N4', 0, 0, 0, $length << 3);
// Process the message in successive 1024-bit chunks
$chunks = str_split($m, 128);
foreach ($chunks as $chunk) {
$w = array();
for ($i = 0; $i < 16; $i++) {
$temp = new BigInteger(Strings::shift($chunk, 8), 256);
$temp->setPrecision(64);
$w[] = $temp;
}
// Extend the sixteen 32-bit words into eighty 32-bit words
for ($i = 16; $i < 80; $i++) {
$temp = array($w[$i - 15]->bitwise_rightRotate(1), $w[$i - 15]->bitwise_rightRotate(8), $w[$i - 15]->bitwise_rightShift(7));
$s0 = $temp[0]->bitwise_xor($temp[1]);
$s0 = $s0->bitwise_xor($temp[2]);
$temp = array($w[$i - 2]->bitwise_rightRotate(19), $w[$i - 2]->bitwise_rightRotate(61), $w[$i - 2]->bitwise_rightShift(6));
$s1 = $temp[0]->bitwise_xor($temp[1]);
$s1 = $s1->bitwise_xor($temp[2]);
$w[$i] = clone $w[$i - 16];
$w[$i] = $w[$i]->add($s0);
$w[$i] = $w[$i]->add($w[$i - 7]);
$w[$i] = $w[$i]->add($s1);
}
// Initialize hash value for this chunk
$a = clone $hash[0];
$b = clone $hash[1];
$c = clone $hash[2];
$d = clone $hash[3];
$e = clone $hash[4];
$f = clone $hash[5];
$g = clone $hash[6];
$h = clone $hash[7];
// Main loop
for ($i = 0; $i < 80; $i++) {
$temp = array($a->bitwise_rightRotate(28), $a->bitwise_rightRotate(34), $a->bitwise_rightRotate(39));
$s0 = $temp[0]->bitwise_xor($temp[1]);
$s0 = $s0->bitwise_xor($temp[2]);
$temp = array($a->bitwise_and($b), $a->bitwise_and($c), $b->bitwise_and($c));
$maj = $temp[0]->bitwise_xor($temp[1]);
$maj = $maj->bitwise_xor($temp[2]);
$t2 = $s0->add($maj);
$temp = array($e->bitwise_rightRotate(14), $e->bitwise_rightRotate(18), $e->bitwise_rightRotate(41));
$s1 = $temp[0]->bitwise_xor($temp[1]);
$s1 = $s1->bitwise_xor($temp[2]);
$temp = array($e->bitwise_and($f), $g->bitwise_and($e->bitwise_not()));
$ch = $temp[0]->bitwise_xor($temp[1]);
$t1 = $h->add($s1);
$t1 = $t1->add($ch);
$t1 = $t1->add($k[$i]);
$t1 = $t1->add($w[$i]);
$h = clone $g;
$g = clone $f;
$f = clone $e;
$e = $d->add($t1);
$d = clone $c;
$c = clone $b;
$b = clone $a;
$a = $t1->add($t2);
}
// Add this chunk's hash to result so far
$hash = array($hash[0]->add($a), $hash[1]->add($b), $hash[2]->add($c), $hash[3]->add($d), $hash[4]->add($e), $hash[5]->add($f), $hash[6]->add($g), $hash[7]->add($h));
}
// Produce the final hash value (big-endian)
// (\phpseclib\Crypt\Hash::hash() trims the output for hashes but not for HMACs. as such, we trim the output here)
$temp = $hash[0]->toBytes() . $hash[1]->toBytes() . $hash[2]->toBytes() . $hash[3]->toBytes() . $hash[4]->toBytes() . $hash[5]->toBytes() . $hash[6]->toBytes() . $hash[7]->toBytes();
return $temp;
}