Ed25519.php000064400000036567147207027610006242 0ustar00X)) { throw new SodiumException('Unexpected zero result'); } # fe_1(one_minus_y); # fe_sub(one_minus_y, one_minus_y, A.Y); # fe_invert(one_minus_y, one_minus_y); $one_minux_y = self::fe_invert( self::fe_sub( self::fe_1(), $A->Y ) ); # fe_1(x); # fe_add(x, x, A.Y); # fe_mul(x, x, one_minus_y); $x = self::fe_mul( self::fe_add(self::fe_1(), $A->Y), $one_minux_y ); # fe_tobytes(curve25519_pk, x); return self::fe_tobytes($x); } /** * @internal You should not use this directly from another application * * @param string $sk * @return string * @throws SodiumException * @throws TypeError */ public static function sk_to_pk($sk) { return self::ge_p3_tobytes( self::ge_scalarmult_base( self::substr($sk, 0, 32) ) ); } /** * @internal You should not use this directly from another application * * @param string $message * @param string $sk * @return string * @throws SodiumException * @throws TypeError */ public static function sign($message, $sk) { /** @var string $signature */ $signature = self::sign_detached($message, $sk); return $signature . $message; } /** * @internal You should not use this directly from another application * * @param string $message A signed message * @param string $pk Public key * @return string Message (without signature) * @throws SodiumException * @throws TypeError */ public static function sign_open($message, $pk) { /** @var string $signature */ $signature = self::substr($message, 0, 64); /** @var string $message */ $message = self::substr($message, 64); if (self::verify_detached($signature, $message, $pk)) { return $message; } throw new SodiumException('Invalid signature'); } /** * @internal You should not use this directly from another application * * @param string $message * @param string $sk * @return string * @throws SodiumException * @throws TypeError * @psalm-suppress PossiblyInvalidArgument */ public static function sign_detached($message, $sk) { # crypto_hash_sha512(az, sk, 32); $az = hash('sha512', self::substr($sk, 0, 32), true); # az[0] &= 248; # az[31] &= 63; # az[31] |= 64; $az[0] = self::intToChr(self::chrToInt($az[0]) & 248); $az[31] = self::intToChr((self::chrToInt($az[31]) & 63) | 64); # crypto_hash_sha512_init(&hs); # crypto_hash_sha512_update(&hs, az + 32, 32); # crypto_hash_sha512_update(&hs, m, mlen); # crypto_hash_sha512_final(&hs, nonce); $hs = hash_init('sha512'); self::hash_update($hs, self::substr($az, 32, 32)); self::hash_update($hs, $message); $nonceHash = hash_final($hs, true); # memmove(sig + 32, sk + 32, 32); $pk = self::substr($sk, 32, 32); # sc_reduce(nonce); # ge_scalarmult_base(&R, nonce); # ge_p3_tobytes(sig, &R); $nonce = self::sc_reduce($nonceHash) . self::substr($nonceHash, 32); $sig = self::ge_p3_tobytes( self::ge_scalarmult_base($nonce) ); # crypto_hash_sha512_init(&hs); # crypto_hash_sha512_update(&hs, sig, 64); # crypto_hash_sha512_update(&hs, m, mlen); # crypto_hash_sha512_final(&hs, hram); $hs = hash_init('sha512'); self::hash_update($hs, self::substr($sig, 0, 32)); self::hash_update($hs, self::substr($pk, 0, 32)); self::hash_update($hs, $message); $hramHash = hash_final($hs, true); # sc_reduce(hram); # sc_muladd(sig + 32, hram, az, nonce); $hram = self::sc_reduce($hramHash); $sigAfter = self::sc_muladd($hram, $az, $nonce); $sig = self::substr($sig, 0, 32) . self::substr($sigAfter, 0, 32); try { ParagonIE_Sodium_Compat::memzero($az); } catch (SodiumException $ex) { $az = null; } return $sig; } /** * @internal You should not use this directly from another application * * @param string $sig * @param string $message * @param string $pk * @return bool * @throws SodiumException * @throws TypeError */ public static function verify_detached($sig, $message, $pk) { if (self::strlen($sig) < 64) { throw new SodiumException('Signature is too short'); } if ((self::chrToInt($sig[63]) & 240) && self::check_S_lt_L(self::substr($sig, 32, 32))) { throw new SodiumException('S < L - Invalid signature'); } if (self::small_order($sig)) { throw new SodiumException('Signature is on too small of an order'); } if ((self::chrToInt($sig[63]) & 224) !== 0) { throw new SodiumException('Invalid signature'); } $d = 0; for ($i = 0; $i < 32; ++$i) { $d |= self::chrToInt($pk[$i]); } if ($d === 0) { throw new SodiumException('All zero public key'); } /** @var bool The original value of ParagonIE_Sodium_Compat::$fastMult */ $orig = ParagonIE_Sodium_Compat::$fastMult; // Set ParagonIE_Sodium_Compat::$fastMult to true to speed up verification. ParagonIE_Sodium_Compat::$fastMult = true; /** @var ParagonIE_Sodium_Core32_Curve25519_Ge_P3 $A */ $A = self::ge_frombytes_negate_vartime($pk); /** @var string $hDigest */ $hDigest = hash( 'sha512', self::substr($sig, 0, 32) . self::substr($pk, 0, 32) . $message, true ); /** @var string $h */ $h = self::sc_reduce($hDigest) . self::substr($hDigest, 32); /** @var ParagonIE_Sodium_Core32_Curve25519_Ge_P2 $R */ $R = self::ge_double_scalarmult_vartime( $h, $A, self::substr($sig, 32) ); /** @var string $rcheck */ $rcheck = self::ge_tobytes($R); // Reset ParagonIE_Sodium_Compat::$fastMult to what it was before. ParagonIE_Sodium_Compat::$fastMult = $orig; return self::verify_32($rcheck, self::substr($sig, 0, 32)); } /** * @internal You should not use this directly from another application * * @param string $S * @return bool * @throws SodiumException * @throws TypeError */ public static function check_S_lt_L($S) { if (self::strlen($S) < 32) { throw new SodiumException('Signature must be 32 bytes'); } static $L = array( 0xed, 0xd3, 0xf5, 0x5c, 0x1a, 0x63, 0x12, 0x58, 0xd6, 0x9c, 0xf7, 0xa2, 0xde, 0xf9, 0xde, 0x14, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x10 ); /** @var array $L */ $c = 0; $n = 1; $i = 32; do { --$i; $x = self::chrToInt($S[$i]); $c |= ( (($x - $L[$i]) >> 8) & $n ); $n &= ( (($x ^ $L[$i]) - 1) >> 8 ); } while ($i !== 0); return $c === 0; } /** * @param string $R * @return bool * @throws SodiumException * @throws TypeError */ public static function small_order($R) { static $blocklist = array( /* 0 (order 4) */ array( 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ), /* 1 (order 1) */ array( 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ), /* 2707385501144840649318225287225658788936804267575313519463743609750303402022 (order 8) */ array( 0x26, 0xe8, 0x95, 0x8f, 0xc2, 0xb2, 0x27, 0xb0, 0x45, 0xc3, 0xf4, 0x89, 0xf2, 0xef, 0x98, 0xf0, 0xd5, 0xdf, 0xac, 0x05, 0xd3, 0xc6, 0x33, 0x39, 0xb1, 0x38, 0x02, 0x88, 0x6d, 0x53, 0xfc, 0x05 ), /* 55188659117513257062467267217118295137698188065244968500265048394206261417927 (order 8) */ array( 0xc7, 0x17, 0x6a, 0x70, 0x3d, 0x4d, 0xd8, 0x4f, 0xba, 0x3c, 0x0b, 0x76, 0x0d, 0x10, 0x67, 0x0f, 0x2a, 0x20, 0x53, 0xfa, 0x2c, 0x39, 0xcc, 0xc6, 0x4e, 0xc7, 0xfd, 0x77, 0x92, 0xac, 0x03, 0x7a ), /* p-1 (order 2) */ array( 0x13, 0xe8, 0x95, 0x8f, 0xc2, 0xb2, 0x27, 0xb0, 0x45, 0xc3, 0xf4, 0x89, 0xf2, 0xef, 0x98, 0xf0, 0xd5, 0xdf, 0xac, 0x05, 0xd3, 0xc6, 0x33, 0x39, 0xb1, 0x38, 0x02, 0x88, 0x6d, 0x53, 0xfc, 0x85 ), /* p (order 4) */ array( 0xb4, 0x17, 0x6a, 0x70, 0x3d, 0x4d, 0xd8, 0x4f, 0xba, 0x3c, 0x0b, 0x76, 0x0d, 0x10, 0x67, 0x0f, 0x2a, 0x20, 0x53, 0xfa, 0x2c, 0x39, 0xcc, 0xc6, 0x4e, 0xc7, 0xfd, 0x77, 0x92, 0xac, 0x03, 0xfa ), /* p+1 (order 1) */ array( 0xec, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x7f ), /* p+2707385501144840649318225287225658788936804267575313519463743609750303402022 (order 8) */ array( 0xed, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x7f ), /* p+55188659117513257062467267217118295137698188065244968500265048394206261417927 (order 8) */ array( 0xee, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x7f ), /* 2p-1 (order 2) */ array( 0xd9, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff ), /* 2p (order 4) */ array( 0xda, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff ), /* 2p+1 (order 1) */ array( 0xdb, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff ) ); /** @var array> $blocklist */ $countBlocklist = count($blocklist); for ($i = 0; $i < $countBlocklist; ++$i) { $c = 0; for ($j = 0; $j < 32; ++$j) { $c |= self::chrToInt($R[$j]) ^ $blocklist[$i][$j]; } if ($c === 0) { return true; } } return false; } } ChaCha20/Ctx.php000064400000011450147207027610007273 0ustar00 */ protected $container; /** * ParagonIE_Sodium_Core_ChaCha20_Ctx constructor. * * @internal You should not use this directly from another application * * @param string $key ChaCha20 key. * @param string $iv Initialization Vector (a.k.a. nonce). * @param string $counter The initial counter value. * Defaults to 8 0x00 bytes. * @throws InvalidArgumentException * @throws SodiumException * @throws TypeError */ public function __construct($key = '', $iv = '', $counter = '') { if (self::strlen($key) !== 32) { throw new InvalidArgumentException('ChaCha20 expects a 256-bit key.'); } if (self::strlen($iv) !== 8) { throw new InvalidArgumentException('ChaCha20 expects a 64-bit nonce.'); } $this->container = new SplFixedArray(16); /* "expand 32-byte k" as per ChaCha20 spec */ $this->container[0] = new ParagonIE_Sodium_Core32_Int32(array(0x6170, 0x7865)); $this->container[1] = new ParagonIE_Sodium_Core32_Int32(array(0x3320, 0x646e)); $this->container[2] = new ParagonIE_Sodium_Core32_Int32(array(0x7962, 0x2d32)); $this->container[3] = new ParagonIE_Sodium_Core32_Int32(array(0x6b20, 0x6574)); $this->container[4] = ParagonIE_Sodium_Core32_Int32::fromReverseString(self::substr($key, 0, 4)); $this->container[5] = ParagonIE_Sodium_Core32_Int32::fromReverseString(self::substr($key, 4, 4)); $this->container[6] = ParagonIE_Sodium_Core32_Int32::fromReverseString(self::substr($key, 8, 4)); $this->container[7] = ParagonIE_Sodium_Core32_Int32::fromReverseString(self::substr($key, 12, 4)); $this->container[8] = ParagonIE_Sodium_Core32_Int32::fromReverseString(self::substr($key, 16, 4)); $this->container[9] = ParagonIE_Sodium_Core32_Int32::fromReverseString(self::substr($key, 20, 4)); $this->container[10] = ParagonIE_Sodium_Core32_Int32::fromReverseString(self::substr($key, 24, 4)); $this->container[11] = ParagonIE_Sodium_Core32_Int32::fromReverseString(self::substr($key, 28, 4)); if (empty($counter)) { $this->container[12] = new ParagonIE_Sodium_Core32_Int32(); $this->container[13] = new ParagonIE_Sodium_Core32_Int32(); } else { $this->container[12] = ParagonIE_Sodium_Core32_Int32::fromReverseString(self::substr($counter, 0, 4)); $this->container[13] = ParagonIE_Sodium_Core32_Int32::fromReverseString(self::substr($counter, 4, 4)); } $this->container[14] = ParagonIE_Sodium_Core32_Int32::fromReverseString(self::substr($iv, 0, 4)); $this->container[15] = ParagonIE_Sodium_Core32_Int32::fromReverseString(self::substr($iv, 4, 4)); } /** * @internal You should not use this directly from another application * * @param int $offset * @param int|ParagonIE_Sodium_Core32_Int32 $value * @return void */ #[ReturnTypeWillChange] public function offsetSet($offset, $value) { if (!is_int($offset)) { throw new InvalidArgumentException('Expected an integer'); } if ($value instanceof ParagonIE_Sodium_Core32_Int32) { /* } elseif (is_int($value)) { $value = ParagonIE_Sodium_Core32_Int32::fromInt($value); */ } else { throw new InvalidArgumentException('Expected an integer'); } $this->container[$offset] = $value; } /** * @internal You should not use this directly from another application * * @param int $offset * @return bool * @psalm-suppress MixedArrayOffset */ #[ReturnTypeWillChange] public function offsetExists($offset) { return isset($this->container[$offset]); } /** * @internal You should not use this directly from another application * * @param int $offset * @return void * @psalm-suppress MixedArrayOffset */ #[ReturnTypeWillChange] public function offsetUnset($offset) { unset($this->container[$offset]); } /** * @internal You should not use this directly from another application * * @param int $offset * @return mixed|null * @psalm-suppress MixedArrayOffset */ #[ReturnTypeWillChange] public function offsetGet($offset) { return isset($this->container[$offset]) ? $this->container[$offset] : null; } } ChaCha20/IetfCtx.php000064400000002737147207027610010113 0ustar00container[12] = ParagonIE_Sodium_Core32_Int32::fromReverseString(self::substr($counter, 0, 4)); } $this->container[13] = ParagonIE_Sodium_Core32_Int32::fromReverseString(self::substr($iv, 0, 4)); $this->container[14] = ParagonIE_Sodium_Core32_Int32::fromReverseString(self::substr($iv, 4, 4)); $this->container[15] = ParagonIE_Sodium_Core32_Int32::fromReverseString(self::substr($iv, 8, 4)); } } SipHash.php000064400000014725147207027610006633 0ustar00 $v * @return array */ public static function sipRound(array $v) { # v0 += v1; $v[0] = $v[0]->addInt64($v[1]); # v1 = ROTL(v1, 13); $v[1] = $v[1]->rotateLeft(13); # v1 ^= v0; $v[1] = $v[1]->xorInt64($v[0]); # v0=ROTL(v0,32); $v[0] = $v[0]->rotateLeft(32); # v2 += v3; $v[2] = $v[2]->addInt64($v[3]); # v3=ROTL(v3,16); $v[3] = $v[3]->rotateLeft(16); # v3 ^= v2; $v[3] = $v[3]->xorInt64($v[2]); # v0 += v3; $v[0] = $v[0]->addInt64($v[3]); # v3=ROTL(v3,21); $v[3] = $v[3]->rotateLeft(21); # v3 ^= v0; $v[3] = $v[3]->xorInt64($v[0]); # v2 += v1; $v[2] = $v[2]->addInt64($v[1]); # v1=ROTL(v1,17); $v[1] = $v[1]->rotateLeft(17); # v1 ^= v2; $v[1] = $v[1]->xorInt64($v[2]); # v2=ROTL(v2,32) $v[2] = $v[2]->rotateLeft(32); return $v; } /** * @internal You should not use this directly from another application * * @param string $in * @param string $key * @return string * @throws SodiumException * @throws TypeError */ public static function sipHash24($in, $key) { $inlen = self::strlen($in); # /* "somepseudorandomlygeneratedbytes" */ # u64 v0 = 0x736f6d6570736575ULL; # u64 v1 = 0x646f72616e646f6dULL; # u64 v2 = 0x6c7967656e657261ULL; # u64 v3 = 0x7465646279746573ULL; $v = array( new ParagonIE_Sodium_Core32_Int64( array(0x736f, 0x6d65, 0x7073, 0x6575) ), new ParagonIE_Sodium_Core32_Int64( array(0x646f, 0x7261, 0x6e64, 0x6f6d) ), new ParagonIE_Sodium_Core32_Int64( array(0x6c79, 0x6765, 0x6e65, 0x7261) ), new ParagonIE_Sodium_Core32_Int64( array(0x7465, 0x6462, 0x7974, 0x6573) ) ); # u64 k0 = LOAD64_LE( k ); # u64 k1 = LOAD64_LE( k + 8 ); $k = array( ParagonIE_Sodium_Core32_Int64::fromReverseString( self::substr($key, 0, 8) ), ParagonIE_Sodium_Core32_Int64::fromReverseString( self::substr($key, 8, 8) ) ); # b = ( ( u64 )inlen ) << 56; $b = new ParagonIE_Sodium_Core32_Int64( array(($inlen << 8) & 0xffff, 0, 0, 0) ); # v3 ^= k1; $v[3] = $v[3]->xorInt64($k[1]); # v2 ^= k0; $v[2] = $v[2]->xorInt64($k[0]); # v1 ^= k1; $v[1] = $v[1]->xorInt64($k[1]); # v0 ^= k0; $v[0] = $v[0]->xorInt64($k[0]); $left = $inlen; # for ( ; in != end; in += 8 ) while ($left >= 8) { # m = LOAD64_LE( in ); $m = ParagonIE_Sodium_Core32_Int64::fromReverseString( self::substr($in, 0, 8) ); # v3 ^= m; $v[3] = $v[3]->xorInt64($m); # SIPROUND; # SIPROUND; $v = self::sipRound($v); $v = self::sipRound($v); # v0 ^= m; $v[0] = $v[0]->xorInt64($m); $in = self::substr($in, 8); $left -= 8; } # switch( left ) # { # case 7: b |= ( ( u64 )in[ 6] ) << 48; # case 6: b |= ( ( u64 )in[ 5] ) << 40; # case 5: b |= ( ( u64 )in[ 4] ) << 32; # case 4: b |= ( ( u64 )in[ 3] ) << 24; # case 3: b |= ( ( u64 )in[ 2] ) << 16; # case 2: b |= ( ( u64 )in[ 1] ) << 8; # case 1: b |= ( ( u64 )in[ 0] ); break; # case 0: break; # } switch ($left) { case 7: $b = $b->orInt64( ParagonIE_Sodium_Core32_Int64::fromInts( 0, self::chrToInt($in[6]) << 16 ) ); case 6: $b = $b->orInt64( ParagonIE_Sodium_Core32_Int64::fromInts( 0, self::chrToInt($in[5]) << 8 ) ); case 5: $b = $b->orInt64( ParagonIE_Sodium_Core32_Int64::fromInts( 0, self::chrToInt($in[4]) ) ); case 4: $b = $b->orInt64( ParagonIE_Sodium_Core32_Int64::fromInts( self::chrToInt($in[3]) << 24, 0 ) ); case 3: $b = $b->orInt64( ParagonIE_Sodium_Core32_Int64::fromInts( self::chrToInt($in[2]) << 16, 0 ) ); case 2: $b = $b->orInt64( ParagonIE_Sodium_Core32_Int64::fromInts( self::chrToInt($in[1]) << 8, 0 ) ); case 1: $b = $b->orInt64( ParagonIE_Sodium_Core32_Int64::fromInts( self::chrToInt($in[0]), 0 ) ); case 0: break; } # v3 ^= b; $v[3] = $v[3]->xorInt64($b); # SIPROUND; # SIPROUND; $v = self::sipRound($v); $v = self::sipRound($v); # v0 ^= b; $v[0] = $v[0]->xorInt64($b); // Flip the lower 8 bits of v2 which is ($v[4], $v[5]) in our implementation # v2 ^= 0xff; $v[2]->limbs[3] ^= 0xff; # SIPROUND; # SIPROUND; # SIPROUND; # SIPROUND; $v = self::sipRound($v); $v = self::sipRound($v); $v = self::sipRound($v); $v = self::sipRound($v); # b = v0 ^ v1 ^ v2 ^ v3; # STORE64_LE( out, b ); return $v[0] ->xorInt64($v[1]) ->xorInt64($v[2]) ->xorInt64($v[3]) ->toReverseString(); } } Poly1305/State.php000064400000037135147207027610007610 0ustar00 */ protected $buffer = array(); /** * @var bool */ protected $final = false; /** * @var array */ public $h; /** * @var int */ protected $leftover = 0; /** * @var array */ public $r; /** * @var array */ public $pad; /** * ParagonIE_Sodium_Core32_Poly1305_State constructor. * * @internal You should not use this directly from another application * * @param string $key * @throws InvalidArgumentException * @throws SodiumException * @throws TypeError */ public function __construct($key = '') { if (self::strlen($key) < 32) { throw new InvalidArgumentException( 'Poly1305 requires a 32-byte key' ); } /* r &= 0xffffffc0ffffffc0ffffffc0fffffff */ $this->r = array( // st->r[0] = ... ParagonIE_Sodium_Core32_Int32::fromReverseString(self::substr($key, 0, 4)) ->setUnsignedInt(true) ->mask(0x3ffffff), // st->r[1] = ... ParagonIE_Sodium_Core32_Int32::fromReverseString(self::substr($key, 3, 4)) ->setUnsignedInt(true) ->shiftRight(2) ->mask(0x3ffff03), // st->r[2] = ... ParagonIE_Sodium_Core32_Int32::fromReverseString(self::substr($key, 6, 4)) ->setUnsignedInt(true) ->shiftRight(4) ->mask(0x3ffc0ff), // st->r[3] = ... ParagonIE_Sodium_Core32_Int32::fromReverseString(self::substr($key, 9, 4)) ->setUnsignedInt(true) ->shiftRight(6) ->mask(0x3f03fff), // st->r[4] = ... ParagonIE_Sodium_Core32_Int32::fromReverseString(self::substr($key, 12, 4)) ->setUnsignedInt(true) ->shiftRight(8) ->mask(0x00fffff) ); /* h = 0 */ $this->h = array( new ParagonIE_Sodium_Core32_Int32(array(0, 0), true), new ParagonIE_Sodium_Core32_Int32(array(0, 0), true), new ParagonIE_Sodium_Core32_Int32(array(0, 0), true), new ParagonIE_Sodium_Core32_Int32(array(0, 0), true), new ParagonIE_Sodium_Core32_Int32(array(0, 0), true) ); /* save pad for later */ $this->pad = array( ParagonIE_Sodium_Core32_Int32::fromReverseString(self::substr($key, 16, 4)) ->setUnsignedInt(true)->toInt64(), ParagonIE_Sodium_Core32_Int32::fromReverseString(self::substr($key, 20, 4)) ->setUnsignedInt(true)->toInt64(), ParagonIE_Sodium_Core32_Int32::fromReverseString(self::substr($key, 24, 4)) ->setUnsignedInt(true)->toInt64(), ParagonIE_Sodium_Core32_Int32::fromReverseString(self::substr($key, 28, 4)) ->setUnsignedInt(true)->toInt64(), ); $this->leftover = 0; $this->final = false; } /** * @internal You should not use this directly from another application * * @param string $message * @return self * @throws SodiumException * @throws TypeError */ public function update($message = '') { $bytes = self::strlen($message); /* handle leftover */ if ($this->leftover) { /** @var int $want */ $want = ParagonIE_Sodium_Core32_Poly1305::BLOCK_SIZE - $this->leftover; if ($want > $bytes) { $want = $bytes; } for ($i = 0; $i < $want; ++$i) { $mi = self::chrToInt($message[$i]); $this->buffer[$this->leftover + $i] = $mi; } // We snip off the leftmost bytes. $message = self::substr($message, $want); $bytes = self::strlen($message); $this->leftover += $want; if ($this->leftover < ParagonIE_Sodium_Core32_Poly1305::BLOCK_SIZE) { // We still don't have enough to run $this->blocks() return $this; } $this->blocks( self::intArrayToString($this->buffer), ParagonIE_Sodium_Core32_Poly1305::BLOCK_SIZE ); $this->leftover = 0; } /* process full blocks */ if ($bytes >= ParagonIE_Sodium_Core32_Poly1305::BLOCK_SIZE) { /** @var int $want */ $want = $bytes & ~(ParagonIE_Sodium_Core32_Poly1305::BLOCK_SIZE - 1); if ($want >= ParagonIE_Sodium_Core32_Poly1305::BLOCK_SIZE) { /** @var string $block */ $block = self::substr($message, 0, $want); if (self::strlen($block) >= ParagonIE_Sodium_Core32_Poly1305::BLOCK_SIZE) { $this->blocks($block, $want); $message = self::substr($message, $want); $bytes = self::strlen($message); } } } /* store leftover */ if ($bytes) { for ($i = 0; $i < $bytes; ++$i) { $mi = self::chrToInt($message[$i]); $this->buffer[$this->leftover + $i] = $mi; } $this->leftover = (int) $this->leftover + $bytes; } return $this; } /** * @internal You should not use this directly from another application * * @param string $message * @param int $bytes * @return self * @throws SodiumException * @throws TypeError */ public function blocks($message, $bytes) { if (self::strlen($message) < 16) { $message = str_pad($message, 16, "\x00", STR_PAD_RIGHT); } $hibit = ParagonIE_Sodium_Core32_Int32::fromInt((int) ($this->final ? 0 : 1 << 24)); /* 1 << 128 */ $hibit->setUnsignedInt(true); $zero = new ParagonIE_Sodium_Core32_Int64(array(0, 0, 0, 0), true); /** * @var ParagonIE_Sodium_Core32_Int64 $d0 * @var ParagonIE_Sodium_Core32_Int64 $d1 * @var ParagonIE_Sodium_Core32_Int64 $d2 * @var ParagonIE_Sodium_Core32_Int64 $d3 * @var ParagonIE_Sodium_Core32_Int64 $d4 * @var ParagonIE_Sodium_Core32_Int64 $r0 * @var ParagonIE_Sodium_Core32_Int64 $r1 * @var ParagonIE_Sodium_Core32_Int64 $r2 * @var ParagonIE_Sodium_Core32_Int64 $r3 * @var ParagonIE_Sodium_Core32_Int64 $r4 * * @var ParagonIE_Sodium_Core32_Int32 $h0 * @var ParagonIE_Sodium_Core32_Int32 $h1 * @var ParagonIE_Sodium_Core32_Int32 $h2 * @var ParagonIE_Sodium_Core32_Int32 $h3 * @var ParagonIE_Sodium_Core32_Int32 $h4 */ $r0 = $this->r[0]->toInt64(); $r1 = $this->r[1]->toInt64(); $r2 = $this->r[2]->toInt64(); $r3 = $this->r[3]->toInt64(); $r4 = $this->r[4]->toInt64(); $s1 = $r1->toInt64()->mulInt(5, 3); $s2 = $r2->toInt64()->mulInt(5, 3); $s3 = $r3->toInt64()->mulInt(5, 3); $s4 = $r4->toInt64()->mulInt(5, 3); $h0 = $this->h[0]; $h1 = $this->h[1]; $h2 = $this->h[2]; $h3 = $this->h[3]; $h4 = $this->h[4]; while ($bytes >= ParagonIE_Sodium_Core32_Poly1305::BLOCK_SIZE) { /* h += m[i] */ $h0 = $h0->addInt32( ParagonIE_Sodium_Core32_Int32::fromReverseString(self::substr($message, 0, 4)) ->mask(0x3ffffff) )->toInt64(); $h1 = $h1->addInt32( ParagonIE_Sodium_Core32_Int32::fromReverseString(self::substr($message, 3, 4)) ->shiftRight(2) ->mask(0x3ffffff) )->toInt64(); $h2 = $h2->addInt32( ParagonIE_Sodium_Core32_Int32::fromReverseString(self::substr($message, 6, 4)) ->shiftRight(4) ->mask(0x3ffffff) )->toInt64(); $h3 = $h3->addInt32( ParagonIE_Sodium_Core32_Int32::fromReverseString(self::substr($message, 9, 4)) ->shiftRight(6) ->mask(0x3ffffff) )->toInt64(); $h4 = $h4->addInt32( ParagonIE_Sodium_Core32_Int32::fromReverseString(self::substr($message, 12, 4)) ->shiftRight(8) ->orInt32($hibit) )->toInt64(); /* h *= r */ $d0 = $zero ->addInt64($h0->mulInt64($r0, 27)) ->addInt64($s4->mulInt64($h1, 27)) ->addInt64($s3->mulInt64($h2, 27)) ->addInt64($s2->mulInt64($h3, 27)) ->addInt64($s1->mulInt64($h4, 27)); $d1 = $zero ->addInt64($h0->mulInt64($r1, 27)) ->addInt64($h1->mulInt64($r0, 27)) ->addInt64($s4->mulInt64($h2, 27)) ->addInt64($s3->mulInt64($h3, 27)) ->addInt64($s2->mulInt64($h4, 27)); $d2 = $zero ->addInt64($h0->mulInt64($r2, 27)) ->addInt64($h1->mulInt64($r1, 27)) ->addInt64($h2->mulInt64($r0, 27)) ->addInt64($s4->mulInt64($h3, 27)) ->addInt64($s3->mulInt64($h4, 27)); $d3 = $zero ->addInt64($h0->mulInt64($r3, 27)) ->addInt64($h1->mulInt64($r2, 27)) ->addInt64($h2->mulInt64($r1, 27)) ->addInt64($h3->mulInt64($r0, 27)) ->addInt64($s4->mulInt64($h4, 27)); $d4 = $zero ->addInt64($h0->mulInt64($r4, 27)) ->addInt64($h1->mulInt64($r3, 27)) ->addInt64($h2->mulInt64($r2, 27)) ->addInt64($h3->mulInt64($r1, 27)) ->addInt64($h4->mulInt64($r0, 27)); /* (partial) h %= p */ $c = $d0->shiftRight(26); $h0 = $d0->toInt32()->mask(0x3ffffff); $d1 = $d1->addInt64($c); $c = $d1->shiftRight(26); $h1 = $d1->toInt32()->mask(0x3ffffff); $d2 = $d2->addInt64($c); $c = $d2->shiftRight(26); $h2 = $d2->toInt32()->mask(0x3ffffff); $d3 = $d3->addInt64($c); $c = $d3->shiftRight(26); $h3 = $d3->toInt32()->mask(0x3ffffff); $d4 = $d4->addInt64($c); $c = $d4->shiftRight(26); $h4 = $d4->toInt32()->mask(0x3ffffff); $h0 = $h0->addInt32($c->toInt32()->mulInt(5, 3)); $c = $h0->shiftRight(26); $h0 = $h0->mask(0x3ffffff); $h1 = $h1->addInt32($c); // Chop off the left 32 bytes. $message = self::substr( $message, ParagonIE_Sodium_Core32_Poly1305::BLOCK_SIZE ); $bytes -= ParagonIE_Sodium_Core32_Poly1305::BLOCK_SIZE; } /** @var array $h */ $this->h = array($h0, $h1, $h2, $h3, $h4); return $this; } /** * @internal You should not use this directly from another application * * @return string * @throws SodiumException * @throws TypeError */ public function finish() { /* process the remaining block */ if ($this->leftover) { $i = $this->leftover; $this->buffer[$i++] = 1; for (; $i < ParagonIE_Sodium_Core32_Poly1305::BLOCK_SIZE; ++$i) { $this->buffer[$i] = 0; } $this->final = true; $this->blocks( self::substr( self::intArrayToString($this->buffer), 0, ParagonIE_Sodium_Core32_Poly1305::BLOCK_SIZE ), $b = ParagonIE_Sodium_Core32_Poly1305::BLOCK_SIZE ); } /** * @var ParagonIE_Sodium_Core32_Int32 $f * @var ParagonIE_Sodium_Core32_Int32 $g0 * @var ParagonIE_Sodium_Core32_Int32 $g1 * @var ParagonIE_Sodium_Core32_Int32 $g2 * @var ParagonIE_Sodium_Core32_Int32 $g3 * @var ParagonIE_Sodium_Core32_Int32 $g4 * @var ParagonIE_Sodium_Core32_Int32 $h0 * @var ParagonIE_Sodium_Core32_Int32 $h1 * @var ParagonIE_Sodium_Core32_Int32 $h2 * @var ParagonIE_Sodium_Core32_Int32 $h3 * @var ParagonIE_Sodium_Core32_Int32 $h4 */ $h0 = $this->h[0]; $h1 = $this->h[1]; $h2 = $this->h[2]; $h3 = $this->h[3]; $h4 = $this->h[4]; $c = $h1->shiftRight(26); # $c = $h1 >> 26; $h1 = $h1->mask(0x3ffffff); # $h1 &= 0x3ffffff; $h2 = $h2->addInt32($c); # $h2 += $c; $c = $h2->shiftRight(26); # $c = $h2 >> 26; $h2 = $h2->mask(0x3ffffff); # $h2 &= 0x3ffffff; $h3 = $h3->addInt32($c); # $h3 += $c; $c = $h3->shiftRight(26); # $c = $h3 >> 26; $h3 = $h3->mask(0x3ffffff); # $h3 &= 0x3ffffff; $h4 = $h4->addInt32($c); # $h4 += $c; $c = $h4->shiftRight(26); # $c = $h4 >> 26; $h4 = $h4->mask(0x3ffffff); # $h4 &= 0x3ffffff; $h0 = $h0->addInt32($c->mulInt(5, 3)); # $h0 += self::mul($c, 5); $c = $h0->shiftRight(26); # $c = $h0 >> 26; $h0 = $h0->mask(0x3ffffff); # $h0 &= 0x3ffffff; $h1 = $h1->addInt32($c); # $h1 += $c; /* compute h + -p */ $g0 = $h0->addInt(5); $c = $g0->shiftRight(26); $g0 = $g0->mask(0x3ffffff); $g1 = $h1->addInt32($c); $c = $g1->shiftRight(26); $g1 = $g1->mask(0x3ffffff); $g2 = $h2->addInt32($c); $c = $g2->shiftRight(26); $g2 = $g2->mask(0x3ffffff); $g3 = $h3->addInt32($c); $c = $g3->shiftRight(26); $g3 = $g3->mask(0x3ffffff); $g4 = $h4->addInt32($c)->subInt(1 << 26); # $mask = ($g4 >> 31) - 1; /* select h if h < p, or h + -p if h >= p */ $mask = (int) (($g4->toInt() >> 31) + 1); $g0 = $g0->mask($mask); $g1 = $g1->mask($mask); $g2 = $g2->mask($mask); $g3 = $g3->mask($mask); $g4 = $g4->mask($mask); /** @var int $mask */ $mask = ~$mask; $h0 = $h0->mask($mask)->orInt32($g0); $h1 = $h1->mask($mask)->orInt32($g1); $h2 = $h2->mask($mask)->orInt32($g2); $h3 = $h3->mask($mask)->orInt32($g3); $h4 = $h4->mask($mask)->orInt32($g4); /* h = h % (2^128) */ $h0 = $h0->orInt32($h1->shiftLeft(26)); $h1 = $h1->shiftRight(6)->orInt32($h2->shiftLeft(20)); $h2 = $h2->shiftRight(12)->orInt32($h3->shiftLeft(14)); $h3 = $h3->shiftRight(18)->orInt32($h4->shiftLeft(8)); /* mac = (h + pad) % (2^128) */ $f = $h0->toInt64()->addInt64($this->pad[0]); $h0 = $f->toInt32(); $f = $h1->toInt64()->addInt64($this->pad[1])->addInt($h0->overflow); $h1 = $f->toInt32(); $f = $h2->toInt64()->addInt64($this->pad[2])->addInt($h1->overflow); $h2 = $f->toInt32(); $f = $h3->toInt64()->addInt64($this->pad[3])->addInt($h2->overflow); $h3 = $f->toInt32(); return $h0->toReverseString() . $h1->toReverseString() . $h2->toReverseString() . $h3->toReverseString(); } } XSalsa20.php000064400000002543147207027610006624 0ustar00 0; $i -= 2) { $x4 = $x4->xorInt32($x0->addInt32($x12)->rotateLeft(7)); $x8 = $x8->xorInt32($x4->addInt32($x0)->rotateLeft(9)); $x12 = $x12->xorInt32($x8->addInt32($x4)->rotateLeft(13)); $x0 = $x0->xorInt32($x12->addInt32($x8)->rotateLeft(18)); $x9 = $x9->xorInt32($x5->addInt32($x1)->rotateLeft(7)); $x13 = $x13->xorInt32($x9->addInt32($x5)->rotateLeft(9)); $x1 = $x1->xorInt32($x13->addInt32($x9)->rotateLeft(13)); $x5 = $x5->xorInt32($x1->addInt32($x13)->rotateLeft(18)); $x14 = $x14->xorInt32($x10->addInt32($x6)->rotateLeft(7)); $x2 = $x2->xorInt32($x14->addInt32($x10)->rotateLeft(9)); $x6 = $x6->xorInt32($x2->addInt32($x14)->rotateLeft(13)); $x10 = $x10->xorInt32($x6->addInt32($x2)->rotateLeft(18)); $x3 = $x3->xorInt32($x15->addInt32($x11)->rotateLeft(7)); $x7 = $x7->xorInt32($x3->addInt32($x15)->rotateLeft(9)); $x11 = $x11->xorInt32($x7->addInt32($x3)->rotateLeft(13)); $x15 = $x15->xorInt32($x11->addInt32($x7)->rotateLeft(18)); $x1 = $x1->xorInt32($x0->addInt32($x3)->rotateLeft(7)); $x2 = $x2->xorInt32($x1->addInt32($x0)->rotateLeft(9)); $x3 = $x3->xorInt32($x2->addInt32($x1)->rotateLeft(13)); $x0 = $x0->xorInt32($x3->addInt32($x2)->rotateLeft(18)); $x6 = $x6->xorInt32($x5->addInt32($x4)->rotateLeft(7)); $x7 = $x7->xorInt32($x6->addInt32($x5)->rotateLeft(9)); $x4 = $x4->xorInt32($x7->addInt32($x6)->rotateLeft(13)); $x5 = $x5->xorInt32($x4->addInt32($x7)->rotateLeft(18)); $x11 = $x11->xorInt32($x10->addInt32($x9)->rotateLeft(7)); $x8 = $x8->xorInt32($x11->addInt32($x10)->rotateLeft(9)); $x9 = $x9->xorInt32($x8->addInt32($x11)->rotateLeft(13)); $x10 = $x10->xorInt32($x9->addInt32($x8)->rotateLeft(18)); $x12 = $x12->xorInt32($x15->addInt32($x14)->rotateLeft(7)); $x13 = $x13->xorInt32($x12->addInt32($x15)->rotateLeft(9)); $x14 = $x14->xorInt32($x13->addInt32($x12)->rotateLeft(13)); $x15 = $x15->xorInt32($x14->addInt32($x13)->rotateLeft(18)); } return $x0->toReverseString() . $x5->toReverseString() . $x10->toReverseString() . $x15->toReverseString() . $x6->toReverseString() . $x7->toReverseString() . $x8->toReverseString() . $x9->toReverseString(); } } Salsa20.php000064400000026362147207027610006501 0ustar00 0; $i -= 2) { $x4 = $x4->xorInt32($x0->addInt32($x12)->rotateLeft(7)); $x8 = $x8->xorInt32($x4->addInt32($x0)->rotateLeft(9)); $x12 = $x12->xorInt32($x8->addInt32($x4)->rotateLeft(13)); $x0 = $x0->xorInt32($x12->addInt32($x8)->rotateLeft(18)); $x9 = $x9->xorInt32($x5->addInt32($x1)->rotateLeft(7)); $x13 = $x13->xorInt32($x9->addInt32($x5)->rotateLeft(9)); $x1 = $x1->xorInt32($x13->addInt32($x9)->rotateLeft(13)); $x5 = $x5->xorInt32($x1->addInt32($x13)->rotateLeft(18)); $x14 = $x14->xorInt32($x10->addInt32($x6)->rotateLeft(7)); $x2 = $x2->xorInt32($x14->addInt32($x10)->rotateLeft(9)); $x6 = $x6->xorInt32($x2->addInt32($x14)->rotateLeft(13)); $x10 = $x10->xorInt32($x6->addInt32($x2)->rotateLeft(18)); $x3 = $x3->xorInt32($x15->addInt32($x11)->rotateLeft(7)); $x7 = $x7->xorInt32($x3->addInt32($x15)->rotateLeft(9)); $x11 = $x11->xorInt32($x7->addInt32($x3)->rotateLeft(13)); $x15 = $x15->xorInt32($x11->addInt32($x7)->rotateLeft(18)); $x1 = $x1->xorInt32($x0->addInt32($x3)->rotateLeft(7)); $x2 = $x2->xorInt32($x1->addInt32($x0)->rotateLeft(9)); $x3 = $x3->xorInt32($x2->addInt32($x1)->rotateLeft(13)); $x0 = $x0->xorInt32($x3->addInt32($x2)->rotateLeft(18)); $x6 = $x6->xorInt32($x5->addInt32($x4)->rotateLeft(7)); $x7 = $x7->xorInt32($x6->addInt32($x5)->rotateLeft(9)); $x4 = $x4->xorInt32($x7->addInt32($x6)->rotateLeft(13)); $x5 = $x5->xorInt32($x4->addInt32($x7)->rotateLeft(18)); $x11 = $x11->xorInt32($x10->addInt32($x9)->rotateLeft(7)); $x8 = $x8->xorInt32($x11->addInt32($x10)->rotateLeft(9)); $x9 = $x9->xorInt32($x8->addInt32($x11)->rotateLeft(13)); $x10 = $x10->xorInt32($x9->addInt32($x8)->rotateLeft(18)); $x12 = $x12->xorInt32($x15->addInt32($x14)->rotateLeft(7)); $x13 = $x13->xorInt32($x12->addInt32($x15)->rotateLeft(9)); $x14 = $x14->xorInt32($x13->addInt32($x12)->rotateLeft(13)); $x15 = $x15->xorInt32($x14->addInt32($x13)->rotateLeft(18)); } $x0 = $x0->addInt32($j0); $x1 = $x1->addInt32($j1); $x2 = $x2->addInt32($j2); $x3 = $x3->addInt32($j3); $x4 = $x4->addInt32($j4); $x5 = $x5->addInt32($j5); $x6 = $x6->addInt32($j6); $x7 = $x7->addInt32($j7); $x8 = $x8->addInt32($j8); $x9 = $x9->addInt32($j9); $x10 = $x10->addInt32($j10); $x11 = $x11->addInt32($j11); $x12 = $x12->addInt32($j12); $x13 = $x13->addInt32($j13); $x14 = $x14->addInt32($j14); $x15 = $x15->addInt32($j15); return $x0->toReverseString() . $x1->toReverseString() . $x2->toReverseString() . $x3->toReverseString() . $x4->toReverseString() . $x5->toReverseString() . $x6->toReverseString() . $x7->toReverseString() . $x8->toReverseString() . $x9->toReverseString() . $x10->toReverseString() . $x11->toReverseString() . $x12->toReverseString() . $x13->toReverseString() . $x14->toReverseString() . $x15->toReverseString(); } /** * @internal You should not use this directly from another application * * @param int $len * @param string $nonce * @param string $key * @return string * @throws SodiumException * @throws TypeError */ public static function salsa20($len, $nonce, $key) { if (self::strlen($key) !== 32) { throw new RangeException('Key must be 32 bytes long'); } $kcopy = '' . $key; $in = self::substr($nonce, 0, 8) . str_repeat("\0", 8); $c = ''; while ($len >= 64) { $c .= self::core_salsa20($in, $kcopy, null); $u = 1; // Internal counter. for ($i = 8; $i < 16; ++$i) { $u += self::chrToInt($in[$i]); $in[$i] = self::intToChr($u & 0xff); $u >>= 8; } $len -= 64; } if ($len > 0) { $c .= self::substr( self::core_salsa20($in, $kcopy, null), 0, $len ); } try { ParagonIE_Sodium_Compat::memzero($kcopy); } catch (SodiumException $ex) { $kcopy = null; } return $c; } /** * @internal You should not use this directly from another application * * @param string $m * @param string $n * @param int $ic * @param string $k * @return string * @throws SodiumException * @throws TypeError */ public static function salsa20_xor_ic($m, $n, $ic, $k) { $mlen = self::strlen($m); if ($mlen < 1) { return ''; } $kcopy = self::substr($k, 0, 32); $in = self::substr($n, 0, 8); // Initialize the counter $in .= ParagonIE_Sodium_Core32_Util::store64_le($ic); $c = ''; while ($mlen >= 64) { $block = self::core_salsa20($in, $kcopy, null); $c .= self::xorStrings( self::substr($m, 0, 64), self::substr($block, 0, 64) ); $u = 1; for ($i = 8; $i < 16; ++$i) { $u += self::chrToInt($in[$i]); $in[$i] = self::intToChr($u & 0xff); $u >>= 8; } $mlen -= 64; $m = self::substr($m, 64); } if ($mlen) { $block = self::core_salsa20($in, $kcopy, null); $c .= self::xorStrings( self::substr($m, 0, $mlen), self::substr($block, 0, $mlen) ); } try { ParagonIE_Sodium_Compat::memzero($block); ParagonIE_Sodium_Compat::memzero($kcopy); } catch (SodiumException $ex) { $block = null; $kcopy = null; } return $c; } /** * @internal You should not use this directly from another application * * @param string $message * @param string $nonce * @param string $key * @return string * @throws SodiumException * @throws TypeError */ public static function salsa20_xor($message, $nonce, $key) { return self::xorStrings( $message, self::salsa20( self::strlen($message), $nonce, $key ) ); } } BLAKE2b.php000064400000053464147207027610006341 0ustar00> */ public static $sigma = array( array( 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15), array( 14, 10, 4, 8, 9, 15, 13, 6, 1, 12, 0, 2, 11, 7, 5, 3), array( 11, 8, 12, 0, 5, 2, 15, 13, 10, 14, 3, 6, 7, 1, 9, 4), array( 7, 9, 3, 1, 13, 12, 11, 14, 2, 6, 5, 10, 4, 0, 15, 8), array( 9, 0, 5, 7, 2, 4, 10, 15, 14, 1, 11, 12, 6, 8, 3, 13), array( 2, 12, 6, 10, 0, 11, 8, 3, 4, 13, 7, 5, 15, 14, 1, 9), array( 12, 5, 1, 15, 14, 13, 4, 10, 0, 7, 6, 3, 9, 2, 8, 11), array( 13, 11, 7, 14, 12, 1, 3, 9, 5, 0, 15, 4, 8, 6, 2, 10), array( 6, 15, 14, 9, 11, 3, 0, 8, 12, 2, 13, 7, 1, 4, 10, 5), array( 10, 2, 8, 4, 7, 6, 1, 5, 15, 11, 9, 14, 3, 12, 13 , 0), array( 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15), array( 14, 10, 4, 8, 9, 15, 13, 6, 1, 12, 0, 2, 11, 7, 5, 3) ); const BLOCKBYTES = 128; const OUTBYTES = 64; const KEYBYTES = 64; /** * Turn two 32-bit integers into a fixed array representing a 64-bit integer. * * @internal You should not use this directly from another application * * @param int $high * @param int $low * @return ParagonIE_Sodium_Core32_Int64 * @throws SodiumException * @throws TypeError */ public static function new64($high, $low) { return ParagonIE_Sodium_Core32_Int64::fromInts($low, $high); } /** * Convert an arbitrary number into an SplFixedArray of two 32-bit integers * that represents a 64-bit integer. * * @internal You should not use this directly from another application * * @param int $num * @return ParagonIE_Sodium_Core32_Int64 * @throws SodiumException * @throws TypeError */ protected static function to64($num) { list($hi, $lo) = self::numericTo64BitInteger($num); return self::new64($hi, $lo); } /** * Adds two 64-bit integers together, returning their sum as a SplFixedArray * containing two 32-bit integers (representing a 64-bit integer). * * @internal You should not use this directly from another application * * @param ParagonIE_Sodium_Core32_Int64 $x * @param ParagonIE_Sodium_Core32_Int64 $y * @return ParagonIE_Sodium_Core32_Int64 */ protected static function add64($x, $y) { return $x->addInt64($y); } /** * @internal You should not use this directly from another application * * @param ParagonIE_Sodium_Core32_Int64 $x * @param ParagonIE_Sodium_Core32_Int64 $y * @param ParagonIE_Sodium_Core32_Int64 $z * @return ParagonIE_Sodium_Core32_Int64 */ public static function add364($x, $y, $z) { return $x->addInt64($y)->addInt64($z); } /** * @internal You should not use this directly from another application * * @param ParagonIE_Sodium_Core32_Int64 $x * @param ParagonIE_Sodium_Core32_Int64 $y * @return ParagonIE_Sodium_Core32_Int64 * @throws TypeError */ public static function xor64(ParagonIE_Sodium_Core32_Int64 $x, ParagonIE_Sodium_Core32_Int64 $y) { return $x->xorInt64($y); } /** * @internal You should not use this directly from another application * * @param ParagonIE_Sodium_Core32_Int64 $x * @param int $c * @return ParagonIE_Sodium_Core32_Int64 * @throws SodiumException * @throws TypeError */ public static function rotr64(ParagonIE_Sodium_Core32_Int64 $x, $c) { return $x->rotateRight($c); } /** * @internal You should not use this directly from another application * * @param SplFixedArray $x * @param int $i * @return ParagonIE_Sodium_Core32_Int64 * @throws SodiumException * @throws TypeError */ public static function load64($x, $i) { /** @var int $l */ $l = (int) ($x[$i]) | ((int) ($x[$i+1]) << 8) | ((int) ($x[$i+2]) << 16) | ((int) ($x[$i+3]) << 24); /** @var int $h */ $h = (int) ($x[$i+4]) | ((int) ($x[$i+5]) << 8) | ((int) ($x[$i+6]) << 16) | ((int) ($x[$i+7]) << 24); return self::new64($h, $l); } /** * @internal You should not use this directly from another application * * @param SplFixedArray $x * @param int $i * @param ParagonIE_Sodium_Core32_Int64 $u * @return void * @throws TypeError * @psalm-suppress MixedArgument * @psalm-suppress MixedAssignment * @psalm-suppress MixedArrayAccess * @psalm-suppress MixedArrayAssignment * @psalm-suppress MixedArrayOffset */ public static function store64(SplFixedArray $x, $i, ParagonIE_Sodium_Core32_Int64 $u) { $v = clone $u; $maxLength = $x->getSize() - 1; for ($j = 0; $j < 8; ++$j) { $k = 3 - ($j >> 1); $x[$i] = $v->limbs[$k] & 0xff; if (++$i > $maxLength) { return; } $v->limbs[$k] >>= 8; } } /** * This just sets the $iv static variable. * * @internal You should not use this directly from another application * * @return void * @throws SodiumException * @throws TypeError */ public static function pseudoConstructor() { static $called = false; if ($called) { return; } self::$iv = new SplFixedArray(8); self::$iv[0] = self::new64(0x6a09e667, 0xf3bcc908); self::$iv[1] = self::new64(0xbb67ae85, 0x84caa73b); self::$iv[2] = self::new64(0x3c6ef372, 0xfe94f82b); self::$iv[3] = self::new64(0xa54ff53a, 0x5f1d36f1); self::$iv[4] = self::new64(0x510e527f, 0xade682d1); self::$iv[5] = self::new64(0x9b05688c, 0x2b3e6c1f); self::$iv[6] = self::new64(0x1f83d9ab, 0xfb41bd6b); self::$iv[7] = self::new64(0x5be0cd19, 0x137e2179); $called = true; } /** * Returns a fresh BLAKE2 context. * * @internal You should not use this directly from another application * * @return SplFixedArray * @throws TypeError * @psalm-suppress MixedArgument * @psalm-suppress MixedAssignment * @psalm-suppress MixedArrayAccess * @psalm-suppress MixedArrayAssignment * @psalm-suppress MixedArrayOffset * @throws SodiumException * @throws TypeError */ protected static function context() { $ctx = new SplFixedArray(6); $ctx[0] = new SplFixedArray(8); // h $ctx[1] = new SplFixedArray(2); // t $ctx[2] = new SplFixedArray(2); // f $ctx[3] = new SplFixedArray(256); // buf $ctx[4] = 0; // buflen $ctx[5] = 0; // last_node (uint8_t) for ($i = 8; $i--;) { $ctx[0][$i] = self::$iv[$i]; } for ($i = 256; $i--;) { $ctx[3][$i] = 0; } $zero = self::new64(0, 0); $ctx[1][0] = $zero; $ctx[1][1] = $zero; $ctx[2][0] = $zero; $ctx[2][1] = $zero; return $ctx; } /** * @internal You should not use this directly from another application * * @param SplFixedArray $ctx * @param SplFixedArray $buf * @return void * @throws SodiumException * @throws TypeError * @psalm-suppress MixedArgument * @psalm-suppress MixedArrayAccess * @psalm-suppress MixedArrayAssignment * @psalm-suppress MixedAssignment */ protected static function compress(SplFixedArray $ctx, SplFixedArray $buf) { $m = new SplFixedArray(16); $v = new SplFixedArray(16); for ($i = 16; $i--;) { $m[$i] = self::load64($buf, $i << 3); } for ($i = 8; $i--;) { $v[$i] = $ctx[0][$i]; } $v[ 8] = self::$iv[0]; $v[ 9] = self::$iv[1]; $v[10] = self::$iv[2]; $v[11] = self::$iv[3]; $v[12] = self::xor64($ctx[1][0], self::$iv[4]); $v[13] = self::xor64($ctx[1][1], self::$iv[5]); $v[14] = self::xor64($ctx[2][0], self::$iv[6]); $v[15] = self::xor64($ctx[2][1], self::$iv[7]); for ($r = 0; $r < 12; ++$r) { $v = self::G($r, 0, 0, 4, 8, 12, $v, $m); $v = self::G($r, 1, 1, 5, 9, 13, $v, $m); $v = self::G($r, 2, 2, 6, 10, 14, $v, $m); $v = self::G($r, 3, 3, 7, 11, 15, $v, $m); $v = self::G($r, 4, 0, 5, 10, 15, $v, $m); $v = self::G($r, 5, 1, 6, 11, 12, $v, $m); $v = self::G($r, 6, 2, 7, 8, 13, $v, $m); $v = self::G($r, 7, 3, 4, 9, 14, $v, $m); } for ($i = 8; $i--;) { $ctx[0][$i] = self::xor64( $ctx[0][$i], self::xor64($v[$i], $v[$i+8]) ); } } /** * @internal You should not use this directly from another application * * @param int $r * @param int $i * @param int $a * @param int $b * @param int $c * @param int $d * @param SplFixedArray $v * @param SplFixedArray $m * @return SplFixedArray * @throws SodiumException * @throws TypeError * @psalm-suppress MixedArgument * @psalm-suppress MixedArrayOffset */ public static function G($r, $i, $a, $b, $c, $d, SplFixedArray $v, SplFixedArray $m) { $v[$a] = self::add364($v[$a], $v[$b], $m[self::$sigma[$r][$i << 1]]); $v[$d] = self::rotr64(self::xor64($v[$d], $v[$a]), 32); $v[$c] = self::add64($v[$c], $v[$d]); $v[$b] = self::rotr64(self::xor64($v[$b], $v[$c]), 24); $v[$a] = self::add364($v[$a], $v[$b], $m[self::$sigma[$r][($i << 1) + 1]]); $v[$d] = self::rotr64(self::xor64($v[$d], $v[$a]), 16); $v[$c] = self::add64($v[$c], $v[$d]); $v[$b] = self::rotr64(self::xor64($v[$b], $v[$c]), 63); return $v; } /** * @internal You should not use this directly from another application * * @param SplFixedArray $ctx * @param int $inc * @return void * @throws SodiumException * @throws TypeError * @psalm-suppress MixedArgument * @psalm-suppress MixedArrayAccess * @psalm-suppress MixedArrayAssignment */ public static function increment_counter($ctx, $inc) { if ($inc < 0) { throw new SodiumException('Increasing by a negative number makes no sense.'); } $t = self::to64($inc); # S->t is $ctx[1] in our implementation # S->t[0] = ( uint64_t )( t >> 0 ); $ctx[1][0] = self::add64($ctx[1][0], $t); # S->t[1] += ( S->t[0] < inc ); if (!($ctx[1][0] instanceof ParagonIE_Sodium_Core32_Int64)) { throw new TypeError('Not an int64'); } /** @var ParagonIE_Sodium_Core32_Int64 $c*/ $c = $ctx[1][0]; if ($c->isLessThanInt($inc)) { $ctx[1][1] = self::add64($ctx[1][1], self::to64(1)); } } /** * @internal You should not use this directly from another application * * @param SplFixedArray $ctx * @param SplFixedArray $p * @param int $plen * @return void * @throws SodiumException * @throws TypeError * @psalm-suppress MixedArgument * @psalm-suppress MixedAssignment * @psalm-suppress MixedArrayAccess * @psalm-suppress MixedArrayAssignment * @psalm-suppress MixedArrayOffset * @psalm-suppress MixedMethodCall * @psalm-suppress MixedOperand */ public static function update(SplFixedArray $ctx, SplFixedArray $p, $plen) { self::pseudoConstructor(); $offset = 0; while ($plen > 0) { $left = $ctx[4]; $fill = 256 - $left; if ($plen > $fill) { # memcpy( S->buf + left, in, fill ); /* Fill buffer */ for ($i = $fill; $i--;) { $ctx[3][$i + $left] = $p[$i + $offset]; } # S->buflen += fill; $ctx[4] += $fill; # blake2b_increment_counter( S, BLAKE2B_BLOCKBYTES ); self::increment_counter($ctx, 128); # blake2b_compress( S, S->buf ); /* Compress */ self::compress($ctx, $ctx[3]); # memcpy( S->buf, S->buf + BLAKE2B_BLOCKBYTES, BLAKE2B_BLOCKBYTES ); /* Shift buffer left */ for ($i = 128; $i--;) { $ctx[3][$i] = $ctx[3][$i + 128]; } # S->buflen -= BLAKE2B_BLOCKBYTES; $ctx[4] -= 128; # in += fill; $offset += $fill; # inlen -= fill; $plen -= $fill; } else { for ($i = $plen; $i--;) { $ctx[3][$i + $left] = $p[$i + $offset]; } $ctx[4] += $plen; $offset += $plen; $plen -= $plen; } } } /** * @internal You should not use this directly from another application * * @param SplFixedArray $ctx * @param SplFixedArray $out * @return SplFixedArray * @throws SodiumException * @throws TypeError * @psalm-suppress MixedArgument * @psalm-suppress MixedAssignment * @psalm-suppress MixedArrayAccess * @psalm-suppress MixedArrayAssignment * @psalm-suppress MixedArrayOffset * @psalm-suppress MixedMethodCall * @psalm-suppress MixedOperand */ public static function finish(SplFixedArray $ctx, SplFixedArray $out) { self::pseudoConstructor(); if ($ctx[4] > 128) { self::increment_counter($ctx, 128); self::compress($ctx, $ctx[3]); $ctx[4] -= 128; if ($ctx[4] > 128) { throw new SodiumException('Failed to assert that buflen <= 128 bytes'); } for ($i = $ctx[4]; $i--;) { $ctx[3][$i] = $ctx[3][$i + 128]; } } self::increment_counter($ctx, $ctx[4]); $ctx[2][0] = self::new64(0xffffffff, 0xffffffff); for ($i = 256 - $ctx[4]; $i--;) { /** @var int $i */ $ctx[3][$i + $ctx[4]] = 0; } self::compress($ctx, $ctx[3]); $i = (int) (($out->getSize() - 1) / 8); for (; $i >= 0; --$i) { self::store64($out, $i << 3, $ctx[0][$i]); } return $out; } /** * @internal You should not use this directly from another application * * @param SplFixedArray|null $key * @param int $outlen * @param SplFixedArray|null $salt * @param SplFixedArray|null $personal * @return SplFixedArray * @throws SodiumException * @throws TypeError * @psalm-suppress MixedArgument * @psalm-suppress MixedAssignment * @psalm-suppress MixedArrayAccess * @psalm-suppress MixedArrayAssignment * @psalm-suppress MixedMethodCall */ public static function init( $key = null, $outlen = 64, $salt = null, $personal = null ) { self::pseudoConstructor(); $klen = 0; if ($key !== null) { if (count($key) > 64) { throw new SodiumException('Invalid key size'); } $klen = count($key); } if ($outlen > 64) { throw new SodiumException('Invalid output size'); } $ctx = self::context(); $p = new SplFixedArray(64); // Zero our param buffer... for ($i = 64; --$i;) { $p[$i] = 0; } $p[0] = $outlen; // digest_length $p[1] = $klen; // key_length $p[2] = 1; // fanout $p[3] = 1; // depth if ($salt instanceof SplFixedArray) { // salt: [32] through [47] for ($i = 0; $i < 16; ++$i) { $p[32 + $i] = (int) $salt[$i]; } } if ($personal instanceof SplFixedArray) { // personal: [48] through [63] for ($i = 0; $i < 16; ++$i) { $p[48 + $i] = (int) $personal[$i]; } } $ctx[0][0] = self::xor64( $ctx[0][0], self::load64($p, 0) ); if ($salt instanceof SplFixedArray || $personal instanceof SplFixedArray) { // We need to do what blake2b_init_param() does: for ($i = 1; $i < 8; ++$i) { $ctx[0][$i] = self::xor64( $ctx[0][$i], self::load64($p, $i << 3) ); } } if ($klen > 0 && $key instanceof SplFixedArray) { $block = new SplFixedArray(128); for ($i = 128; $i--;) { $block[$i] = 0; } for ($i = $klen; $i--;) { $block[$i] = $key[$i]; } self::update($ctx, $block, 128); $ctx[4] = 128; } return $ctx; } /** * Convert a string into an SplFixedArray of integers * * @internal You should not use this directly from another application * * @param string $str * @return SplFixedArray * @psalm-suppress MixedArgumentTypeCoercion */ public static function stringToSplFixedArray($str = '') { $values = unpack('C*', $str); return SplFixedArray::fromArray(array_values($values)); } /** * Convert an SplFixedArray of integers into a string * * @internal You should not use this directly from another application * * @param SplFixedArray $a * @return string */ public static function SplFixedArrayToString(SplFixedArray $a) { /** * @var array */ $arr = $a->toArray(); $c = $a->count(); array_unshift($arr, str_repeat('C', $c)); return (string) (call_user_func_array('pack', $arr)); } /** * @internal You should not use this directly from another application * * @param SplFixedArray $ctx * @return string * @throws TypeError * @psalm-suppress MixedArgument * @psalm-suppress MixedArrayAccess * @psalm-suppress MixedArrayAssignment * @psalm-suppress MixedMethodCall */ public static function contextToString(SplFixedArray $ctx) { $str = ''; /** @var array $ctxA */ $ctxA = $ctx[0]->toArray(); # uint64_t h[8]; for ($i = 0; $i < 8; ++$i) { if (!($ctxA[$i] instanceof ParagonIE_Sodium_Core32_Int64)) { throw new TypeError('Not an instance of Int64'); } /** @var ParagonIE_Sodium_Core32_Int64 $ctxAi */ $ctxAi = $ctxA[$i]; $str .= $ctxAi->toReverseString(); } # uint64_t t[2]; # uint64_t f[2]; for ($i = 1; $i < 3; ++$i) { /** @var array $ctxA */ $ctxA = $ctx[$i]->toArray(); /** @var ParagonIE_Sodium_Core32_Int64 $ctxA1 */ $ctxA1 = $ctxA[0]; /** @var ParagonIE_Sodium_Core32_Int64 $ctxA2 */ $ctxA2 = $ctxA[1]; $str .= $ctxA1->toReverseString(); $str .= $ctxA2->toReverseString(); } # uint8_t buf[2 * 128]; $str .= self::SplFixedArrayToString($ctx[3]); /** @var int $ctx4 */ $ctx4 = $ctx[4]; # size_t buflen; $str .= implode('', array( self::intToChr($ctx4 & 0xff), self::intToChr(($ctx4 >> 8) & 0xff), self::intToChr(($ctx4 >> 16) & 0xff), self::intToChr(($ctx4 >> 24) & 0xff), "\x00\x00\x00\x00" /* self::intToChr(($ctx4 >> 32) & 0xff), self::intToChr(($ctx4 >> 40) & 0xff), self::intToChr(($ctx4 >> 48) & 0xff), self::intToChr(($ctx4 >> 56) & 0xff) */ )); # uint8_t last_node; return $str . self::intToChr($ctx[5]) . str_repeat("\x00", 23); } /** * Creates an SplFixedArray containing other SplFixedArray elements, from * a string (compatible with \Sodium\crypto_generichash_{init, update, final}) * * @internal You should not use this directly from another application * * @param string $string * @return SplFixedArray * @throws SodiumException * @throws TypeError * @psalm-suppress MixedArrayAccess * @psalm-suppress MixedArrayAssignment */ public static function stringToContext($string) { $ctx = self::context(); # uint64_t h[8]; for ($i = 0; $i < 8; ++$i) { $ctx[0][$i] = ParagonIE_Sodium_Core32_Int64::fromReverseString( self::substr($string, (($i << 3) + 0), 8) ); } # uint64_t t[2]; # uint64_t f[2]; for ($i = 1; $i < 3; ++$i) { $ctx[$i][1] = ParagonIE_Sodium_Core32_Int64::fromReverseString( self::substr($string, 72 + (($i - 1) << 4), 8) ); $ctx[$i][0] = ParagonIE_Sodium_Core32_Int64::fromReverseString( self::substr($string, 64 + (($i - 1) << 4), 8) ); } # uint8_t buf[2 * 128]; $ctx[3] = self::stringToSplFixedArray(self::substr($string, 96, 256)); # uint8_t buf[2 * 128]; $int = 0; for ($i = 0; $i < 8; ++$i) { $int |= self::chrToInt($string[352 + $i]) << ($i << 3); } $ctx[4] = $int; return $ctx; } } Curve25519/Fe.php000064400000012572147207027610007316 0ustar00 */ protected $container = array(); /** * @var int */ protected $size = 10; /** * @internal You should not use this directly from another application * * @param array $array * @param bool $save_indexes * @return self * @throws SodiumException * @throws TypeError */ public static function fromArray($array, $save_indexes = null) { $count = count($array); if ($save_indexes) { $keys = array_keys($array); } else { $keys = range(0, $count - 1); } $array = array_values($array); $obj = new ParagonIE_Sodium_Core32_Curve25519_Fe(); if ($save_indexes) { for ($i = 0; $i < $count; ++$i) { $array[$i]->overflow = 0; $obj->offsetSet($keys[$i], $array[$i]); } } else { for ($i = 0; $i < $count; ++$i) { if (!($array[$i] instanceof ParagonIE_Sodium_Core32_Int32)) { throw new TypeError('Expected ParagonIE_Sodium_Core32_Int32'); } $array[$i]->overflow = 0; $obj->offsetSet($i, $array[$i]); } } return $obj; } /** * @internal You should not use this directly from another application * * @param array $array * @param bool $save_indexes * @return self * @throws SodiumException * @throws TypeError */ public static function fromIntArray($array, $save_indexes = null) { $count = count($array); if ($save_indexes) { $keys = array_keys($array); } else { $keys = range(0, $count - 1); } $array = array_values($array); $set = array(); /** @var int $i */ /** @var int $v */ foreach ($array as $i => $v) { $set[$i] = ParagonIE_Sodium_Core32_Int32::fromInt($v); } $obj = new ParagonIE_Sodium_Core32_Curve25519_Fe(); if ($save_indexes) { for ($i = 0; $i < $count; ++$i) { $set[$i]->overflow = 0; $obj->offsetSet($keys[$i], $set[$i]); } } else { for ($i = 0; $i < $count; ++$i) { $set[$i]->overflow = 0; $obj->offsetSet($i, $set[$i]); } } return $obj; } /** * @internal You should not use this directly from another application * * @param mixed $offset * @param mixed $value * @return void * @throws SodiumException * @throws TypeError */ #[ReturnTypeWillChange] public function offsetSet($offset, $value) { if (!($value instanceof ParagonIE_Sodium_Core32_Int32)) { throw new InvalidArgumentException('Expected an instance of ParagonIE_Sodium_Core32_Int32'); } if (is_null($offset)) { $this->container[] = $value; } else { ParagonIE_Sodium_Core32_Util::declareScalarType($offset, 'int', 1); $this->container[(int) $offset] = $value; } } /** * @internal You should not use this directly from another application * * @param mixed $offset * @return bool * @psalm-suppress MixedArrayOffset */ #[ReturnTypeWillChange] public function offsetExists($offset) { return isset($this->container[$offset]); } /** * @internal You should not use this directly from another application * * @param mixed $offset * @return void * @psalm-suppress MixedArrayOffset */ #[ReturnTypeWillChange] public function offsetUnset($offset) { unset($this->container[$offset]); } /** * @internal You should not use this directly from another application * * @param mixed $offset * @return ParagonIE_Sodium_Core32_Int32 * @psalm-suppress MixedArrayOffset */ #[ReturnTypeWillChange] public function offsetGet($offset) { if (!isset($this->container[$offset])) { $this->container[(int) $offset] = new ParagonIE_Sodium_Core32_Int32(); } /** @var ParagonIE_Sodium_Core32_Int32 $get */ $get = $this->container[$offset]; return $get; } /** * @internal You should not use this directly from another application * * @return array */ public function __debugInfo() { if (empty($this->container)) { return array(); } $c = array( (int) ($this->container[0]->toInt()), (int) ($this->container[1]->toInt()), (int) ($this->container[2]->toInt()), (int) ($this->container[3]->toInt()), (int) ($this->container[4]->toInt()), (int) ($this->container[5]->toInt()), (int) ($this->container[6]->toInt()), (int) ($this->container[7]->toInt()), (int) ($this->container[8]->toInt()), (int) ($this->container[9]->toInt()) ); return array(implode(', ', $c)); } } Curve25519/README.md000064400000000332147207027610007521 0ustar00# Curve25519 Data Structures These are PHP implementation of the [structs used in the ref10 curve25519 code](https://github.com/jedisct1/libsodium/blob/master/src/libsodium/include/sodium/private/curve25519_ref10.h). Curve25519/Ge/P2.php000064400000002541147207027610007573 0ustar00X = $x; if ($y === null) { $y = new ParagonIE_Sodium_Core32_Curve25519_Fe(); } $this->Y = $y; if ($z === null) { $z = new ParagonIE_Sodium_Core32_Curve25519_Fe(); } $this->Z = $z; } } Curve25519/Ge/P3.php000064400000003242147207027610007573 0ustar00X = $x; if ($y === null) { $y = new ParagonIE_Sodium_Core32_Curve25519_Fe(); } $this->Y = $y; if ($z === null) { $z = new ParagonIE_Sodium_Core32_Curve25519_Fe(); } $this->Z = $z; if ($t === null) { $t = new ParagonIE_Sodium_Core32_Curve25519_Fe(); } $this->T = $t; } } Curve25519/Ge/Precomp.php000064400000002775147207027610010730 0ustar00yplusx = $yplusx; if ($yminusx === null) { $yminusx = ParagonIE_Sodium_Core32_Curve25519::fe_0(); } $this->yminusx = $yminusx; if ($xy2d === null) { $xy2d = ParagonIE_Sodium_Core32_Curve25519::fe_0(); } $this->xy2d = $xy2d; } } Curve25519/Ge/Cached.php000064400000003415147207027610010462 0ustar00YplusX = $YplusX; if ($YminusX === null) { $YminusX = new ParagonIE_Sodium_Core32_Curve25519_Fe(); } $this->YminusX = $YminusX; if ($Z === null) { $Z = new ParagonIE_Sodium_Core32_Curve25519_Fe(); } $this->Z = $Z; if ($T2d === null) { $T2d = new ParagonIE_Sodium_Core32_Curve25519_Fe(); } $this->T2d = $T2d; } } Curve25519/Ge/P1p1.php000064400000003344147207027610010035 0ustar00X = $x; if ($y === null) { $y = ParagonIE_Sodium_Core32_Curve25519::fe_0(); } $this->Y = $y; if ($z === null) { $z = ParagonIE_Sodium_Core32_Curve25519::fe_0(); } $this->Z = $z; if ($t === null) { $t = ParagonIE_Sodium_Core32_Curve25519::fe_0(); } $this->T = $t; } } Curve25519/H.php000064400000324375147207027610007162 0ustar00>>> Basically, int[32][8][3][10] */ protected static $base = array( array( array( array(25967493, -14356035, 29566456, 3660896, -12694345, 4014787, 27544626, -11754271, -6079156, 2047605), array(-12545711, 934262, -2722910, 3049990, -727428, 9406986, 12720692, 5043384, 19500929, -15469378), array(-8738181, 4489570, 9688441, -14785194, 10184609, -12363380, 29287919, 11864899, -24514362, -4438546), ), array( array(-12815894, -12976347, -21581243, 11784320, -25355658, -2750717, -11717903, -3814571, -358445, -10211303), array(-21703237, 6903825, 27185491, 6451973, -29577724, -9554005, -15616551, 11189268, -26829678, -5319081), array(26966642, 11152617, 32442495, 15396054, 14353839, -12752335, -3128826, -9541118, -15472047, -4166697), ), array( array(15636291, -9688557, 24204773, -7912398, 616977, -16685262, 27787600, -14772189, 28944400, -1550024), array(16568933, 4717097, -11556148, -1102322, 15682896, -11807043, 16354577, -11775962, 7689662, 11199574), array(30464156, -5976125, -11779434, -15670865, 23220365, 15915852, 7512774, 10017326, -17749093, -9920357), ), array( array(-17036878, 13921892, 10945806, -6033431, 27105052, -16084379, -28926210, 15006023, 3284568, -6276540), array(23599295, -8306047, -11193664, -7687416, 13236774, 10506355, 7464579, 9656445, 13059162, 10374397), array(7798556, 16710257, 3033922, 2874086, 28997861, 2835604, 32406664, -3839045, -641708, -101325), ), array( array(10861363, 11473154, 27284546, 1981175, -30064349, 12577861, 32867885, 14515107, -15438304, 10819380), array(4708026, 6336745, 20377586, 9066809, -11272109, 6594696, -25653668, 12483688, -12668491, 5581306), array(19563160, 16186464, -29386857, 4097519, 10237984, -4348115, 28542350, 13850243, -23678021, -15815942), ), array( array(-15371964, -12862754, 32573250, 4720197, -26436522, 5875511, -19188627, -15224819, -9818940, -12085777), array(-8549212, 109983, 15149363, 2178705, 22900618, 4543417, 3044240, -15689887, 1762328, 14866737), array(-18199695, -15951423, -10473290, 1707278, -17185920, 3916101, -28236412, 3959421, 27914454, 4383652), ), array( array(5153746, 9909285, 1723747, -2777874, 30523605, 5516873, 19480852, 5230134, -23952439, -15175766), array(-30269007, -3463509, 7665486, 10083793, 28475525, 1649722, 20654025, 16520125, 30598449, 7715701), array(28881845, 14381568, 9657904, 3680757, -20181635, 7843316, -31400660, 1370708, 29794553, -1409300), ), array( array(14499471, -2729599, -33191113, -4254652, 28494862, 14271267, 30290735, 10876454, -33154098, 2381726), array(-7195431, -2655363, -14730155, 462251, -27724326, 3941372, -6236617, 3696005, -32300832, 15351955), array(27431194, 8222322, 16448760, -3907995, -18707002, 11938355, -32961401, -2970515, 29551813, 10109425), ), ), array( array( array(-13657040, -13155431, -31283750, 11777098, 21447386, 6519384, -2378284, -1627556, 10092783, -4764171), array(27939166, 14210322, 4677035, 16277044, -22964462, -12398139, -32508754, 12005538, -17810127, 12803510), array(17228999, -15661624, -1233527, 300140, -1224870, -11714777, 30364213, -9038194, 18016357, 4397660), ), array( array(-10958843, -7690207, 4776341, -14954238, 27850028, -15602212, -26619106, 14544525, -17477504, 982639), array(29253598, 15796703, -2863982, -9908884, 10057023, 3163536, 7332899, -4120128, -21047696, 9934963), array(5793303, 16271923, -24131614, -10116404, 29188560, 1206517, -14747930, 4559895, -30123922, -10897950), ), array( array(-27643952, -11493006, 16282657, -11036493, 28414021, -15012264, 24191034, 4541697, -13338309, 5500568), array(12650548, -1497113, 9052871, 11355358, -17680037, -8400164, -17430592, 12264343, 10874051, 13524335), array(25556948, -3045990, 714651, 2510400, 23394682, -10415330, 33119038, 5080568, -22528059, 5376628), ), array( array(-26088264, -4011052, -17013699, -3537628, -6726793, 1920897, -22321305, -9447443, 4535768, 1569007), array(-2255422, 14606630, -21692440, -8039818, 28430649, 8775819, -30494562, 3044290, 31848280, 12543772), array(-22028579, 2943893, -31857513, 6777306, 13784462, -4292203, -27377195, -2062731, 7718482, 14474653), ), array( array(2385315, 2454213, -22631320, 46603, -4437935, -15680415, 656965, -7236665, 24316168, -5253567), array(13741529, 10911568, -33233417, -8603737, -20177830, -1033297, 33040651, -13424532, -20729456, 8321686), array(21060490, -2212744, 15712757, -4336099, 1639040, 10656336, 23845965, -11874838, -9984458, 608372), ), array( array(-13672732, -15087586, -10889693, -7557059, -6036909, 11305547, 1123968, -6780577, 27229399, 23887), array(-23244140, -294205, -11744728, 14712571, -29465699, -2029617, 12797024, -6440308, -1633405, 16678954), array(-29500620, 4770662, -16054387, 14001338, 7830047, 9564805, -1508144, -4795045, -17169265, 4904953), ), array( array(24059557, 14617003, 19037157, -15039908, 19766093, -14906429, 5169211, 16191880, 2128236, -4326833), array(-16981152, 4124966, -8540610, -10653797, 30336522, -14105247, -29806336, 916033, -6882542, -2986532), array(-22630907, 12419372, -7134229, -7473371, -16478904, 16739175, 285431, 2763829, 15736322, 4143876), ), array( array(2379352, 11839345, -4110402, -5988665, 11274298, 794957, 212801, -14594663, 23527084, -16458268), array(33431127, -11130478, -17838966, -15626900, 8909499, 8376530, -32625340, 4087881, -15188911, -14416214), array(1767683, 7197987, -13205226, -2022635, -13091350, 448826, 5799055, 4357868, -4774191, -16323038), ), ), array( array( array(6721966, 13833823, -23523388, -1551314, 26354293, -11863321, 23365147, -3949732, 7390890, 2759800), array(4409041, 2052381, 23373853, 10530217, 7676779, -12885954, 21302353, -4264057, 1244380, -12919645), array(-4421239, 7169619, 4982368, -2957590, 30256825, -2777540, 14086413, 9208236, 15886429, 16489664), ), array( array(1996075, 10375649, 14346367, 13311202, -6874135, -16438411, -13693198, 398369, -30606455, -712933), array(-25307465, 9795880, -2777414, 14878809, -33531835, 14780363, 13348553, 12076947, -30836462, 5113182), array(-17770784, 11797796, 31950843, 13929123, -25888302, 12288344, -30341101, -7336386, 13847711, 5387222), ), array( array(-18582163, -3416217, 17824843, -2340966, 22744343, -10442611, 8763061, 3617786, -19600662, 10370991), array(20246567, -14369378, 22358229, -543712, 18507283, -10413996, 14554437, -8746092, 32232924, 16763880), array(9648505, 10094563, 26416693, 14745928, -30374318, -6472621, 11094161, 15689506, 3140038, -16510092), ), array( array(-16160072, 5472695, 31895588, 4744994, 8823515, 10365685, -27224800, 9448613, -28774454, 366295), array(19153450, 11523972, -11096490, -6503142, -24647631, 5420647, 28344573, 8041113, 719605, 11671788), array(8678025, 2694440, -6808014, 2517372, 4964326, 11152271, -15432916, -15266516, 27000813, -10195553), ), array( array(-15157904, 7134312, 8639287, -2814877, -7235688, 10421742, 564065, 5336097, 6750977, -14521026), array(11836410, -3979488, 26297894, 16080799, 23455045, 15735944, 1695823, -8819122, 8169720, 16220347), array(-18115838, 8653647, 17578566, -6092619, -8025777, -16012763, -11144307, -2627664, -5990708, -14166033), ), array( array(-23308498, -10968312, 15213228, -10081214, -30853605, -11050004, 27884329, 2847284, 2655861, 1738395), array(-27537433, -14253021, -25336301, -8002780, -9370762, 8129821, 21651608, -3239336, -19087449, -11005278), array(1533110, 3437855, 23735889, 459276, 29970501, 11335377, 26030092, 5821408, 10478196, 8544890), ), array( array(32173121, -16129311, 24896207, 3921497, 22579056, -3410854, 19270449, 12217473, 17789017, -3395995), array(-30552961, -2228401, -15578829, -10147201, 13243889, 517024, 15479401, -3853233, 30460520, 1052596), array(-11614875, 13323618, 32618793, 8175907, -15230173, 12596687, 27491595, -4612359, 3179268, -9478891), ), array( array(31947069, -14366651, -4640583, -15339921, -15125977, -6039709, -14756777, -16411740, 19072640, -9511060), array(11685058, 11822410, 3158003, -13952594, 33402194, -4165066, 5977896, -5215017, 473099, 5040608), array(-20290863, 8198642, -27410132, 11602123, 1290375, -2799760, 28326862, 1721092, -19558642, -3131606), ), ), array( array( array(7881532, 10687937, 7578723, 7738378, -18951012, -2553952, 21820786, 8076149, -27868496, 11538389), array(-19935666, 3899861, 18283497, -6801568, -15728660, -11249211, 8754525, 7446702, -5676054, 5797016), array(-11295600, -3793569, -15782110, -7964573, 12708869, -8456199, 2014099, -9050574, -2369172, -5877341), ), array( array(-22472376, -11568741, -27682020, 1146375, 18956691, 16640559, 1192730, -3714199, 15123619, 10811505), array(14352098, -3419715, -18942044, 10822655, 32750596, 4699007, -70363, 15776356, -28886779, -11974553), array(-28241164, -8072475, -4978962, -5315317, 29416931, 1847569, -20654173, -16484855, 4714547, -9600655), ), array( array(15200332, 8368572, 19679101, 15970074, -31872674, 1959451, 24611599, -4543832, -11745876, 12340220), array(12876937, -10480056, 33134381, 6590940, -6307776, 14872440, 9613953, 8241152, 15370987, 9608631), array(-4143277, -12014408, 8446281, -391603, 4407738, 13629032, -7724868, 15866074, -28210621, -8814099), ), array( array(26660628, -15677655, 8393734, 358047, -7401291, 992988, -23904233, 858697, 20571223, 8420556), array(14620715, 13067227, -15447274, 8264467, 14106269, 15080814, 33531827, 12516406, -21574435, -12476749), array(236881, 10476226, 57258, -14677024, 6472998, 2466984, 17258519, 7256740, 8791136, 15069930), ), array( array(1276410, -9371918, 22949635, -16322807, -23493039, -5702186, 14711875, 4874229, -30663140, -2331391), array(5855666, 4990204, -13711848, 7294284, -7804282, 1924647, -1423175, -7912378, -33069337, 9234253), array(20590503, -9018988, 31529744, -7352666, -2706834, 10650548, 31559055, -11609587, 18979186, 13396066), ), array( array(24474287, 4968103, 22267082, 4407354, 24063882, -8325180, -18816887, 13594782, 33514650, 7021958), array(-11566906, -6565505, -21365085, 15928892, -26158305, 4315421, -25948728, -3916677, -21480480, 12868082), array(-28635013, 13504661, 19988037, -2132761, 21078225, 6443208, -21446107, 2244500, -12455797, -8089383), ), array( array(-30595528, 13793479, -5852820, 319136, -25723172, -6263899, 33086546, 8957937, -15233648, 5540521), array(-11630176, -11503902, -8119500, -7643073, 2620056, 1022908, -23710744, -1568984, -16128528, -14962807), array(23152971, 775386, 27395463, 14006635, -9701118, 4649512, 1689819, 892185, -11513277, -15205948), ), array( array(9770129, 9586738, 26496094, 4324120, 1556511, -3550024, 27453819, 4763127, -19179614, 5867134), array(-32765025, 1927590, 31726409, -4753295, 23962434, -16019500, 27846559, 5931263, -29749703, -16108455), array(27461885, -2977536, 22380810, 1815854, -23033753, -3031938, 7283490, -15148073, -19526700, 7734629), ), ), array( array( array(-8010264, -9590817, -11120403, 6196038, 29344158, -13430885, 7585295, -3176626, 18549497, 15302069), array(-32658337, -6171222, -7672793, -11051681, 6258878, 13504381, 10458790, -6418461, -8872242, 8424746), array(24687205, 8613276, -30667046, -3233545, 1863892, -1830544, 19206234, 7134917, -11284482, -828919), ), array( array(11334899, -9218022, 8025293, 12707519, 17523892, -10476071, 10243738, -14685461, -5066034, 16498837), array(8911542, 6887158, -9584260, -6958590, 11145641, -9543680, 17303925, -14124238, 6536641, 10543906), array(-28946384, 15479763, -17466835, 568876, -1497683, 11223454, -2669190, -16625574, -27235709, 8876771), ), array( array(-25742899, -12566864, -15649966, -846607, -33026686, -796288, -33481822, 15824474, -604426, -9039817), array(10330056, 70051, 7957388, -9002667, 9764902, 15609756, 27698697, -4890037, 1657394, 3084098), array(10477963, -7470260, 12119566, -13250805, 29016247, -5365589, 31280319, 14396151, -30233575, 15272409), ), array( array(-12288309, 3169463, 28813183, 16658753, 25116432, -5630466, -25173957, -12636138, -25014757, 1950504), array(-26180358, 9489187, 11053416, -14746161, -31053720, 5825630, -8384306, -8767532, 15341279, 8373727), array(28685821, 7759505, -14378516, -12002860, -31971820, 4079242, 298136, -10232602, -2878207, 15190420), ), array( array(-32932876, 13806336, -14337485, -15794431, -24004620, 10940928, 8669718, 2742393, -26033313, -6875003), array(-1580388, -11729417, -25979658, -11445023, -17411874, -10912854, 9291594, -16247779, -12154742, 6048605), array(-30305315, 14843444, 1539301, 11864366, 20201677, 1900163, 13934231, 5128323, 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-11385430, -1633671, 225884, 15089336, -11023903, -6135662, 14480053), ), array( array(31308717, -5619998, 31030840, -1897099, 15674547, -6582883, 5496208, 13685227, 27595050, 8737275), array(-20318852, -15150239, 10933843, -16178022, 8335352, -7546022, -31008351, -12610604, 26498114, 66511), array(22644454, -8761729, -16671776, 4884562, -3105614, -13559366, 30540766, -4286747, -13327787, -7515095), ), array( array(-28017847, 9834845, 18617207, -2681312, -3401956, -13307506, 8205540, 13585437, -17127465, 15115439), array(23711543, -672915, 31206561, -8362711, 6164647, -9709987, -33535882, -1426096, 8236921, 16492939), array(-23910559, -13515526, -26299483, -4503841, 25005590, -7687270, 19574902, 10071562, 6708380, -6222424), ), array( array(2101391, -4930054, 19702731, 2367575, -15427167, 1047675, 5301017, 9328700, 29955601, -11678310), array(3096359, 9271816, -21620864, -15521844, -14847996, -7592937, -25892142, -12635595, -9917575, 6216608), array(-32615849, 338663, -25195611, 2510422, -29213566, -13820213, 24822830, -6146567, -26767480, 7525079), ), array( array(-23066649, -13985623, 16133487, -7896178, -3389565, 778788, -910336, -2782495, -19386633, 11994101), array(21691500, -13624626, -641331, -14367021, 3285881, -3483596, -25064666, 9718258, -7477437, 13381418), array(18445390, -4202236, 14979846, 11622458, -1727110, -3582980, 23111648, -6375247, 28535282, 15779576), ), array( array(30098053, 3089662, -9234387, 16662135, -21306940, 11308411, -14068454, 12021730, 9955285, -16303356), array(9734894, -14576830, -7473633, -9138735, 2060392, 11313496, -18426029, 9924399, 20194861, 13380996), array(-26378102, -7965207, -22167821, 15789297, -18055342, -6168792, -1984914, 15707771, 26342023, 10146099), ), ), array( array( array(-26016874, -219943, 21339191, -41388, 19745256, -2878700, -29637280, 2227040, 21612326, -545728), array(-13077387, 1184228, 23562814, -5970442, -20351244, -6348714, 25764461, 12243797, -20856566, 11649658), array(-10031494, 11262626, 27384172, 2271902, 26947504, -15997771, 39944, 6114064, 33514190, 2333242), ), array( array(-21433588, -12421821, 8119782, 7219913, -21830522, -9016134, -6679750, -12670638, 24350578, -13450001), array(-4116307, -11271533, -23886186, 4843615, -30088339, 690623, -31536088, -10406836, 8317860, 12352766), array(18200138, -14475911, -33087759, -2696619, -23702521, -9102511, -23552096, -2287550, 20712163, 6719373), ), array( array(26656208, 6075253, -7858556, 1886072, -28344043, 4262326, 11117530, -3763210, 26224235, -3297458), array(-17168938, -14854097, -3395676, -16369877, -19954045, 14050420, 21728352, 9493610, 18620611, -16428628), array(-13323321, 13325349, 11432106, 5964811, 18609221, 6062965, -5269471, -9725556, -30701573, -16479657), ), array( array(-23860538, -11233159, 26961357, 1640861, -32413112, -16737940, 12248509, -5240639, 13735342, 1934062), array(25089769, 6742589, 17081145, -13406266, 21909293, -16067981, -15136294, -3765346, -21277997, 5473616), array(31883677, -7961101, 1083432, -11572403, 22828471, 13290673, -7125085, 12469656, 29111212, -5451014), ), array( array(24244947, -15050407, -26262976, 2791540, -14997599, 16666678, 24367466, 6388839, -10295587, 452383), array(-25640782, -3417841, 5217916, 16224624, 19987036, -4082269, -24236251, -5915248, 15766062, 8407814), array(-20406999, 13990231, 15495425, 16395525, 5377168, 15166495, -8917023, -4388953, -8067909, 2276718), ), array( array(30157918, 12924066, -17712050, 9245753, 19895028, 3368142, -23827587, 5096219, 22740376, -7303417), array(2041139, -14256350, 7783687, 13876377, -25946985, -13352459, 24051124, 13742383, -15637599, 13295222), array(33338237, -8505733, 12532113, 7977527, 9106186, -1715251, -17720195, -4612972, -4451357, -14669444), ), array( array(-20045281, 5454097, -14346548, 6447146, 28862071, 1883651, -2469266, -4141880, 7770569, 9620597), array(23208068, 7979712, 33071466, 8149229, 1758231, -10834995, 30945528, -1694323, -33502340, -14767970), array(1439958, -16270480, -1079989, -793782, 4625402, 10647766, -5043801, 1220118, 30494170, -11440799), ), array( array(-5037580, -13028295, -2970559, -3061767, 15640974, -6701666, -26739026, 926050, -1684339, -13333647), array(13908495, -3549272, 30919928, -6273825, -21521863, 7989039, 9021034, 9078865, 3353509, 4033511), array(-29663431, -15113610, 32259991, -344482, 24295849, -12912123, 23161163, 8839127, 27485041, 7356032), ), ), array( array( array(9661027, 705443, 11980065, -5370154, -1628543, 14661173, -6346142, 2625015, 28431036, -16771834), array(-23839233, -8311415, -25945511, 7480958, -17681669, -8354183, -22545972, 14150565, 15970762, 4099461), array(29262576, 16756590, 26350592, -8793563, 8529671, -11208050, 13617293, -9937143, 11465739, 8317062), ), array( array(-25493081, -6962928, 32500200, -9419051, -23038724, -2302222, 14898637, 3848455, 20969334, -5157516), array(-20384450, -14347713, -18336405, 13884722, -33039454, 2842114, -21610826, -3649888, 11177095, 14989547), array(-24496721, -11716016, 16959896, 2278463, 12066309, 10137771, 13515641, 2581286, -28487508, 9930240), ), array( array(-17751622, -2097826, 16544300, -13009300, -15914807, -14949081, 18345767, -13403753, 16291481, -5314038), array(-33229194, 2553288, 32678213, 9875984, 8534129, 6889387, -9676774, 6957617, 4368891, 9788741), array(16660756, 7281060, -10830758, 12911820, 20108584, -8101676, -21722536, -8613148, 16250552, -11111103), ), array( array(-19765507, 2390526, -16551031, 14161980, 1905286, 6414907, 4689584, 10604807, -30190403, 4782747), array(-1354539, 14736941, -7367442, -13292886, 7710542, -14155590, -9981571, 4383045, 22546403, 437323), array(31665577, -12180464, -16186830, 1491339, -18368625, 3294682, 27343084, 2786261, -30633590, -14097016), ), array( array(-14467279, -683715, -33374107, 7448552, 19294360, 14334329, -19690631, 2355319, -19284671, -6114373), array(15121312, -15796162, 6377020, -6031361, -10798111, -12957845, 18952177, 15496498, -29380133, 11754228), array(-2637277, -13483075, 8488727, -14303896, 12728761, -1622493, 7141596, 11724556, 22761615, -10134141), ), array( array(16918416, 11729663, -18083579, 3022987, -31015732, -13339659, -28741185, -12227393, 32851222, 11717399), array(11166634, 7338049, -6722523, 4531520, -29468672, -7302055, 31474879, 3483633, -1193175, -4030831), array(-185635, 9921305, 31456609, -13536438, -12013818, 13348923, 33142652, 6546660, -19985279, -3948376), ), array( array(-32460596, 11266712, -11197107, -7899103, 31703694, 3855903, -8537131, -12833048, -30772034, -15486313), array(-18006477, 12709068, 3991746, -6479188, -21491523, -10550425, -31135347, -16049879, 10928917, 3011958), array(-6957757, -15594337, 31696059, 334240, 29576716, 14796075, -30831056, -12805180, 18008031, 10258577), ), array( array(-22448644, 15655569, 7018479, -4410003, -30314266, -1201591, -1853465, 1367120, 25127874, 6671743), array(29701166, -14373934, -10878120, 9279288, -17568, 13127210, 21382910, 11042292, 25838796, 4642684), array(-20430234, 14955537, -24126347, 8124619, -5369288, -5990470, 30468147, -13900640, 18423289, 4177476), ), ) ); /** * See: libsodium's crypto_core/curve25519/ref10/base2.h * * @var array>> basically int[8][3] */ protected static $base2 = array( array( array(25967493, -14356035, 29566456, 3660896, -12694345, 4014787, 27544626, -11754271, -6079156, 2047605), array(-12545711, 934262, -2722910, 3049990, -727428, 9406986, 12720692, 5043384, 19500929, -15469378), array(-8738181, 4489570, 9688441, -14785194, 10184609, -12363380, 29287919, 11864899, -24514362, -4438546), ), array( array(15636291, -9688557, 24204773, -7912398, 616977, -16685262, 27787600, -14772189, 28944400, -1550024), array(16568933, 4717097, -11556148, -1102322, 15682896, -11807043, 16354577, -11775962, 7689662, 11199574), array(30464156, -5976125, -11779434, -15670865, 23220365, 15915852, 7512774, 10017326, -17749093, -9920357), ), array( array(10861363, 11473154, 27284546, 1981175, -30064349, 12577861, 32867885, 14515107, -15438304, 10819380), array(4708026, 6336745, 20377586, 9066809, -11272109, 6594696, -25653668, 12483688, -12668491, 5581306), array(19563160, 16186464, -29386857, 4097519, 10237984, -4348115, 28542350, 13850243, -23678021, -15815942), ), array( array(5153746, 9909285, 1723747, -2777874, 30523605, 5516873, 19480852, 5230134, -23952439, -15175766), array(-30269007, -3463509, 7665486, 10083793, 28475525, 1649722, 20654025, 16520125, 30598449, 7715701), array(28881845, 14381568, 9657904, 3680757, -20181635, 7843316, -31400660, 1370708, 29794553, -1409300), ), array( array(-22518993, -6692182, 14201702, -8745502, -23510406, 8844726, 18474211, -1361450, -13062696, 13821877), array(-6455177, -7839871, 3374702, -4740862, -27098617, -10571707, 31655028, -7212327, 18853322, -14220951), array(4566830, -12963868, -28974889, -12240689, -7602672, -2830569, -8514358, -10431137, 2207753, -3209784), ), array( array(-25154831, -4185821, 29681144, 7868801, -6854661, -9423865, -12437364, -663000, -31111463, -16132436), array(25576264, -2703214, 7349804, -11814844, 16472782, 9300885, 3844789, 15725684, 171356, 6466918), array(23103977, 13316479, 9739013, -16149481, 817875, -15038942, 8965339, -14088058, -30714912, 16193877), ), array( array(-33521811, 3180713, -2394130, 14003687, -16903474, -16270840, 17238398, 4729455, -18074513, 9256800), array(-25182317, -4174131, 32336398, 5036987, -21236817, 11360617, 22616405, 9761698, -19827198, 630305), array(-13720693, 2639453, -24237460, -7406481, 9494427, -5774029, -6554551, -15960994, -2449256, -14291300), ), array( array(-3151181, -5046075, 9282714, 6866145, -31907062, -863023, -18940575, 15033784, 25105118, -7894876), array(-24326370, 15950226, -31801215, -14592823, -11662737, -5090925, 1573892, -2625887, 2198790, -15804619), array(-3099351, 10324967, -2241613, 7453183, -5446979, -2735503, -13812022, -16236442, -32461234, -12290683), ) ); /** * 37095705934669439343138083508754565189542113879843219016388785533085940283555 * * @var array */ protected static $d = array( -10913610, 13857413, -15372611, 6949391, 114729, -8787816, -6275908, -3247719, -18696448, -12055116 ); /** * 2 * d = 16295367250680780974490674513165176452449235426866156013048779062215315747161 * * @var array */ protected static $d2 = array( -21827239, -5839606, -30745221, 13898782, 229458, 15978800, -12551817, -6495438, 29715968, 9444199 ); /** * sqrt(-1) * * @var array */ protected static $sqrtm1 = array( -32595792, -7943725, 9377950, 3500415, 12389472, -272473, -25146209, -2005654, 326686, 11406482 ); } ChaCha20.php000064400000034257147207027610006547 0ustar00 * @throws SodiumException * @throws TypeError */ protected static function quarterRound( ParagonIE_Sodium_Core32_Int32 $a, ParagonIE_Sodium_Core32_Int32 $b, ParagonIE_Sodium_Core32_Int32 $c, ParagonIE_Sodium_Core32_Int32 $d ) { /** @var ParagonIE_Sodium_Core32_Int32 $a */ /** @var ParagonIE_Sodium_Core32_Int32 $b */ /** @var ParagonIE_Sodium_Core32_Int32 $c */ /** @var ParagonIE_Sodium_Core32_Int32 $d */ # a = PLUS(a,b); d = ROTATE(XOR(d,a),16); $a = $a->addInt32($b); $d = $d->xorInt32($a)->rotateLeft(16); # c = PLUS(c,d); b = ROTATE(XOR(b,c),12); $c = $c->addInt32($d); $b = $b->xorInt32($c)->rotateLeft(12); # a = PLUS(a,b); d = ROTATE(XOR(d,a), 8); $a = $a->addInt32($b); $d = $d->xorInt32($a)->rotateLeft(8); # c = PLUS(c,d); b = ROTATE(XOR(b,c), 7); $c = $c->addInt32($d); $b = $b->xorInt32($c)->rotateLeft(7); return array($a, $b, $c, $d); } /** * @internal You should not use this directly from another application * * @param ParagonIE_Sodium_Core32_ChaCha20_Ctx $ctx * @param string $message * * @return string * @throws SodiumException * @throws TypeError */ public static function encryptBytes( ParagonIE_Sodium_Core32_ChaCha20_Ctx $ctx, $message = '' ) { $bytes = self::strlen($message); /** @var ParagonIE_Sodium_Core32_Int32 $x0 */ /** @var ParagonIE_Sodium_Core32_Int32 $x1 */ /** @var ParagonIE_Sodium_Core32_Int32 $x2 */ /** @var ParagonIE_Sodium_Core32_Int32 $x3 */ /** @var ParagonIE_Sodium_Core32_Int32 $x4 */ /** @var ParagonIE_Sodium_Core32_Int32 $x5 */ /** @var ParagonIE_Sodium_Core32_Int32 $x6 */ /** @var ParagonIE_Sodium_Core32_Int32 $x7 */ /** @var ParagonIE_Sodium_Core32_Int32 $x8 */ /** @var ParagonIE_Sodium_Core32_Int32 $x9 */ /** @var ParagonIE_Sodium_Core32_Int32 $x10 */ /** @var ParagonIE_Sodium_Core32_Int32 $x11 */ /** @var ParagonIE_Sodium_Core32_Int32 $x12 */ /** @var ParagonIE_Sodium_Core32_Int32 $x13 */ /** @var ParagonIE_Sodium_Core32_Int32 $x14 */ /** @var ParagonIE_Sodium_Core32_Int32 $x15 */ /* j0 = ctx->input[0]; j1 = ctx->input[1]; j2 = ctx->input[2]; j3 = ctx->input[3]; j4 = ctx->input[4]; j5 = ctx->input[5]; j6 = ctx->input[6]; j7 = ctx->input[7]; j8 = ctx->input[8]; j9 = ctx->input[9]; j10 = ctx->input[10]; j11 = ctx->input[11]; j12 = ctx->input[12]; j13 = ctx->input[13]; j14 = ctx->input[14]; j15 = ctx->input[15]; */ /** @var ParagonIE_Sodium_Core32_Int32 $j0 */ $j0 = $ctx[0]; /** @var ParagonIE_Sodium_Core32_Int32 $j1 */ $j1 = $ctx[1]; /** @var ParagonIE_Sodium_Core32_Int32 $j2 */ $j2 = $ctx[2]; /** @var ParagonIE_Sodium_Core32_Int32 $j3 */ $j3 = $ctx[3]; /** @var ParagonIE_Sodium_Core32_Int32 $j4 */ $j4 = $ctx[4]; /** @var ParagonIE_Sodium_Core32_Int32 $j5 */ $j5 = $ctx[5]; /** @var ParagonIE_Sodium_Core32_Int32 $j6 */ $j6 = $ctx[6]; /** @var ParagonIE_Sodium_Core32_Int32 $j7 */ $j7 = $ctx[7]; /** @var ParagonIE_Sodium_Core32_Int32 $j8 */ $j8 = $ctx[8]; /** @var ParagonIE_Sodium_Core32_Int32 $j9 */ $j9 = $ctx[9]; /** @var ParagonIE_Sodium_Core32_Int32 $j10 */ $j10 = $ctx[10]; /** @var ParagonIE_Sodium_Core32_Int32 $j11 */ $j11 = $ctx[11]; /** @var ParagonIE_Sodium_Core32_Int32 $j12 */ $j12 = $ctx[12]; /** @var ParagonIE_Sodium_Core32_Int32 $j13 */ $j13 = $ctx[13]; /** @var ParagonIE_Sodium_Core32_Int32 $j14 */ $j14 = $ctx[14]; /** @var ParagonIE_Sodium_Core32_Int32 $j15 */ $j15 = $ctx[15]; $c = ''; for (;;) { if ($bytes < 64) { $message .= str_repeat("\x00", 64 - $bytes); } $x0 = clone $j0; $x1 = clone $j1; $x2 = clone $j2; $x3 = clone $j3; $x4 = clone $j4; $x5 = clone $j5; $x6 = clone $j6; $x7 = clone $j7; $x8 = clone $j8; $x9 = clone $j9; $x10 = clone $j10; $x11 = clone $j11; $x12 = clone $j12; $x13 = clone $j13; $x14 = clone $j14; $x15 = clone $j15; # for (i = 20; i > 0; i -= 2) { for ($i = 20; $i > 0; $i -= 2) { # QUARTERROUND( x0, x4, x8, x12) list($x0, $x4, $x8, $x12) = self::quarterRound($x0, $x4, $x8, $x12); # QUARTERROUND( x1, x5, x9, x13) list($x1, $x5, $x9, $x13) = self::quarterRound($x1, $x5, $x9, $x13); # QUARTERROUND( x2, x6, x10, x14) list($x2, $x6, $x10, $x14) = self::quarterRound($x2, $x6, $x10, $x14); # QUARTERROUND( x3, x7, x11, x15) list($x3, $x7, $x11, $x15) = self::quarterRound($x3, $x7, $x11, $x15); # QUARTERROUND( x0, x5, x10, x15) list($x0, $x5, $x10, $x15) = self::quarterRound($x0, $x5, $x10, $x15); # QUARTERROUND( x1, x6, x11, x12) list($x1, $x6, $x11, $x12) = self::quarterRound($x1, $x6, $x11, $x12); # QUARTERROUND( x2, x7, x8, x13) list($x2, $x7, $x8, $x13) = self::quarterRound($x2, $x7, $x8, $x13); # QUARTERROUND( x3, x4, x9, x14) list($x3, $x4, $x9, $x14) = self::quarterRound($x3, $x4, $x9, $x14); } /* x0 = PLUS(x0, j0); x1 = PLUS(x1, j1); x2 = PLUS(x2, j2); x3 = PLUS(x3, j3); x4 = PLUS(x4, j4); x5 = PLUS(x5, j5); x6 = PLUS(x6, j6); x7 = PLUS(x7, j7); x8 = PLUS(x8, j8); x9 = PLUS(x9, j9); x10 = PLUS(x10, j10); x11 = PLUS(x11, j11); x12 = PLUS(x12, j12); x13 = PLUS(x13, j13); x14 = PLUS(x14, j14); x15 = PLUS(x15, j15); */ $x0 = $x0->addInt32($j0); $x1 = $x1->addInt32($j1); $x2 = $x2->addInt32($j2); $x3 = $x3->addInt32($j3); $x4 = $x4->addInt32($j4); $x5 = $x5->addInt32($j5); $x6 = $x6->addInt32($j6); $x7 = $x7->addInt32($j7); $x8 = $x8->addInt32($j8); $x9 = $x9->addInt32($j9); $x10 = $x10->addInt32($j10); $x11 = $x11->addInt32($j11); $x12 = $x12->addInt32($j12); $x13 = $x13->addInt32($j13); $x14 = $x14->addInt32($j14); $x15 = $x15->addInt32($j15); /* x0 = XOR(x0, LOAD32_LE(m + 0)); x1 = XOR(x1, LOAD32_LE(m + 4)); x2 = XOR(x2, LOAD32_LE(m + 8)); x3 = XOR(x3, LOAD32_LE(m + 12)); x4 = XOR(x4, LOAD32_LE(m + 16)); x5 = XOR(x5, LOAD32_LE(m + 20)); x6 = XOR(x6, LOAD32_LE(m + 24)); x7 = XOR(x7, LOAD32_LE(m + 28)); x8 = XOR(x8, LOAD32_LE(m + 32)); x9 = XOR(x9, LOAD32_LE(m + 36)); x10 = XOR(x10, LOAD32_LE(m + 40)); x11 = XOR(x11, LOAD32_LE(m + 44)); x12 = XOR(x12, LOAD32_LE(m + 48)); x13 = XOR(x13, LOAD32_LE(m + 52)); x14 = XOR(x14, LOAD32_LE(m + 56)); x15 = XOR(x15, LOAD32_LE(m + 60)); */ $x0 = $x0->xorInt32(ParagonIE_Sodium_Core32_Int32::fromReverseString(self::substr($message, 0, 4))); $x1 = $x1->xorInt32(ParagonIE_Sodium_Core32_Int32::fromReverseString(self::substr($message, 4, 4))); $x2 = $x2->xorInt32(ParagonIE_Sodium_Core32_Int32::fromReverseString(self::substr($message, 8, 4))); $x3 = $x3->xorInt32(ParagonIE_Sodium_Core32_Int32::fromReverseString(self::substr($message, 12, 4))); $x4 = $x4->xorInt32(ParagonIE_Sodium_Core32_Int32::fromReverseString(self::substr($message, 16, 4))); $x5 = $x5->xorInt32(ParagonIE_Sodium_Core32_Int32::fromReverseString(self::substr($message, 20, 4))); $x6 = $x6->xorInt32(ParagonIE_Sodium_Core32_Int32::fromReverseString(self::substr($message, 24, 4))); $x7 = $x7->xorInt32(ParagonIE_Sodium_Core32_Int32::fromReverseString(self::substr($message, 28, 4))); $x8 = $x8->xorInt32(ParagonIE_Sodium_Core32_Int32::fromReverseString(self::substr($message, 32, 4))); $x9 = $x9->xorInt32(ParagonIE_Sodium_Core32_Int32::fromReverseString(self::substr($message, 36, 4))); $x10 = $x10->xorInt32(ParagonIE_Sodium_Core32_Int32::fromReverseString(self::substr($message, 40, 4))); $x11 = $x11->xorInt32(ParagonIE_Sodium_Core32_Int32::fromReverseString(self::substr($message, 44, 4))); $x12 = $x12->xorInt32(ParagonIE_Sodium_Core32_Int32::fromReverseString(self::substr($message, 48, 4))); $x13 = $x13->xorInt32(ParagonIE_Sodium_Core32_Int32::fromReverseString(self::substr($message, 52, 4))); $x14 = $x14->xorInt32(ParagonIE_Sodium_Core32_Int32::fromReverseString(self::substr($message, 56, 4))); $x15 = $x15->xorInt32(ParagonIE_Sodium_Core32_Int32::fromReverseString(self::substr($message, 60, 4))); /* j12 = PLUSONE(j12); if (!j12) { j13 = PLUSONE(j13); } */ /** @var ParagonIE_Sodium_Core32_Int32 $j12 */ $j12 = $j12->addInt(1); if ($j12->limbs[0] === 0 && $j12->limbs[1] === 0) { $j13 = $j13->addInt(1); } /* STORE32_LE(c + 0, x0); STORE32_LE(c + 4, x1); STORE32_LE(c + 8, x2); STORE32_LE(c + 12, x3); STORE32_LE(c + 16, x4); STORE32_LE(c + 20, x5); STORE32_LE(c + 24, x6); STORE32_LE(c + 28, x7); STORE32_LE(c + 32, x8); STORE32_LE(c + 36, x9); STORE32_LE(c + 40, x10); STORE32_LE(c + 44, x11); STORE32_LE(c + 48, x12); STORE32_LE(c + 52, x13); STORE32_LE(c + 56, x14); STORE32_LE(c + 60, x15); */ $block = $x0->toReverseString() . $x1->toReverseString() . $x2->toReverseString() . $x3->toReverseString() . $x4->toReverseString() . $x5->toReverseString() . $x6->toReverseString() . $x7->toReverseString() . $x8->toReverseString() . $x9->toReverseString() . $x10->toReverseString() . $x11->toReverseString() . $x12->toReverseString() . $x13->toReverseString() . $x14->toReverseString() . $x15->toReverseString(); /* Partial block */ if ($bytes < 64) { $c .= self::substr($block, 0, $bytes); break; } /* Full block */ $c .= $block; $bytes -= 64; if ($bytes <= 0) { break; } $message = self::substr($message, 64); } /* end for(;;) loop */ $ctx[12] = $j12; $ctx[13] = $j13; return $c; } /** * @internal You should not use this directly from another application * * @param int $len * @param string $nonce * @param string $key * @return string * @throws SodiumException * @throws TypeError */ public static function stream($len = 64, $nonce = '', $key = '') { return self::encryptBytes( new ParagonIE_Sodium_Core32_ChaCha20_Ctx($key, $nonce), str_repeat("\x00", $len) ); } /** * @internal You should not use this directly from another application * * @param int $len * @param string $nonce * @param string $key * @return string * @throws SodiumException * @throws TypeError */ public static function ietfStream($len, $nonce = '', $key = '') { return self::encryptBytes( new ParagonIE_Sodium_Core32_ChaCha20_IetfCtx($key, $nonce), str_repeat("\x00", $len) ); } /** * @internal You should not use this directly from another application * * @param string $message * @param string $nonce * @param string $key * @param string $ic * @return string * @throws SodiumException * @throws TypeError */ public static function ietfStreamXorIc($message, $nonce = '', $key = '', $ic = '') { return self::encryptBytes( new ParagonIE_Sodium_Core32_ChaCha20_IetfCtx($key, $nonce, $ic), $message ); } /** * @internal You should not use this directly from another application * * @param string $message * @param string $nonce * @param string $key * @param string $ic * @return string * @throws SodiumException * @throws TypeError */ public static function streamXorIc($message, $nonce = '', $key = '', $ic = '') { return self::encryptBytes( new ParagonIE_Sodium_Core32_ChaCha20_Ctx($key, $nonce, $ic), $message ); } } Int64.php000064400000074704147207027610006203 0ustar00 - four 16-bit integers */ public $limbs = array(0, 0, 0, 0); /** * @var int */ public $overflow = 0; /** * @var bool */ public $unsignedInt = false; /** * ParagonIE_Sodium_Core32_Int64 constructor. * @param array $array * @param bool $unsignedInt */ public function __construct($array = array(0, 0, 0, 0), $unsignedInt = false) { $this->limbs = array( (int) $array[0], (int) $array[1], (int) $array[2], (int) $array[3] ); $this->overflow = 0; $this->unsignedInt = $unsignedInt; } /** * Adds two int64 objects * * @param ParagonIE_Sodium_Core32_Int64 $addend * @return ParagonIE_Sodium_Core32_Int64 */ public function addInt64(ParagonIE_Sodium_Core32_Int64 $addend) { $i0 = $this->limbs[0]; $i1 = $this->limbs[1]; $i2 = $this->limbs[2]; $i3 = $this->limbs[3]; $j0 = $addend->limbs[0]; $j1 = $addend->limbs[1]; $j2 = $addend->limbs[2]; $j3 = $addend->limbs[3]; $r3 = $i3 + ($j3 & 0xffff); $carry = $r3 >> 16; $r2 = $i2 + ($j2 & 0xffff) + $carry; $carry = $r2 >> 16; $r1 = $i1 + ($j1 & 0xffff) + $carry; $carry = $r1 >> 16; $r0 = $i0 + ($j0 & 0xffff) + $carry; $carry = $r0 >> 16; $r0 &= 0xffff; $r1 &= 0xffff; $r2 &= 0xffff; $r3 &= 0xffff; $return = new ParagonIE_Sodium_Core32_Int64( array($r0, $r1, $r2, $r3) ); $return->overflow = $carry; $return->unsignedInt = $this->unsignedInt; return $return; } /** * Adds a normal integer to an int64 object * * @param int $int * @return ParagonIE_Sodium_Core32_Int64 * @throws SodiumException * @throws TypeError */ public function addInt($int) { ParagonIE_Sodium_Core32_Util::declareScalarType($int, 'int', 1); /** @var int $int */ $int = (int) $int; $i0 = $this->limbs[0]; $i1 = $this->limbs[1]; $i2 = $this->limbs[2]; $i3 = $this->limbs[3]; $r3 = $i3 + ($int & 0xffff); $carry = $r3 >> 16; $r2 = $i2 + (($int >> 16) & 0xffff) + $carry; $carry = $r2 >> 16; $r1 = $i1 + $carry; $carry = $r1 >> 16; $r0 = $i0 + $carry; $carry = $r0 >> 16; $r0 &= 0xffff; $r1 &= 0xffff; $r2 &= 0xffff; $r3 &= 0xffff; $return = new ParagonIE_Sodium_Core32_Int64( array($r0, $r1, $r2, $r3) ); $return->overflow = $carry; $return->unsignedInt = $this->unsignedInt; return $return; } /** * @param int $b * @return int */ public function compareInt($b = 0) { $gt = 0; $eq = 1; $i = 4; $j = 0; while ($i > 0) { --$i; /** @var int $x1 */ $x1 = $this->limbs[$i]; /** @var int $x2 */ $x2 = ($b >> ($j << 4)) & 0xffff; /** int */ $gt |= (($x2 - $x1) >> 8) & $eq; /** int */ $eq &= (($x2 ^ $x1) - 1) >> 8; } return ($gt + $gt - $eq) + 1; } /** * @param int $b * @return bool */ public function isGreaterThan($b = 0) { return $this->compareInt($b) > 0; } /** * @param int $b * @return bool */ public function isLessThanInt($b = 0) { return $this->compareInt($b) < 0; } /** * @param int $hi * @param int $lo * @return ParagonIE_Sodium_Core32_Int64 */ public function mask64($hi = 0, $lo = 0) { /** @var int $a */ $a = ($hi >> 16) & 0xffff; /** @var int $b */ $b = ($hi) & 0xffff; /** @var int $c */ $c = ($lo >> 16) & 0xffff; /** @var int $d */ $d = ($lo & 0xffff); return new ParagonIE_Sodium_Core32_Int64( array( $this->limbs[0] & $a, $this->limbs[1] & $b, $this->limbs[2] & $c, $this->limbs[3] & $d ), $this->unsignedInt ); } /** * @param int $int * @param int $size * @return ParagonIE_Sodium_Core32_Int64 * @throws SodiumException * @throws TypeError * @psalm-suppress MixedAssignment */ public function mulInt($int = 0, $size = 0) { if (ParagonIE_Sodium_Compat::$fastMult) { return $this->mulIntFast($int); } ParagonIE_Sodium_Core32_Util::declareScalarType($int, 'int', 1); ParagonIE_Sodium_Core32_Util::declareScalarType($size, 'int', 2); /** @var int $int */ $int = (int) $int; /** @var int $size */ $size = (int) $size; if (!$size) { $size = 63; } $a = clone $this; $return = new ParagonIE_Sodium_Core32_Int64(); $return->unsignedInt = $this->unsignedInt; // Initialize: $ret0 = 0; $ret1 = 0; $ret2 = 0; $ret3 = 0; $a0 = $a->limbs[0]; $a1 = $a->limbs[1]; $a2 = $a->limbs[2]; $a3 = $a->limbs[3]; /** @var int $size */ /** @var int $i */ for ($i = $size; $i >= 0; --$i) { $mask = -($int & 1); $x0 = $a0 & $mask; $x1 = $a1 & $mask; $x2 = $a2 & $mask; $x3 = $a3 & $mask; $ret3 += $x3; $c = $ret3 >> 16; $ret2 += $x2 + $c; $c = $ret2 >> 16; $ret1 += $x1 + $c; $c = $ret1 >> 16; $ret0 += $x0 + $c; $ret0 &= 0xffff; $ret1 &= 0xffff; $ret2 &= 0xffff; $ret3 &= 0xffff; $a3 = $a3 << 1; $x3 = $a3 >> 16; $a2 = ($a2 << 1) | $x3; $x2 = $a2 >> 16; $a1 = ($a1 << 1) | $x2; $x1 = $a1 >> 16; $a0 = ($a0 << 1) | $x1; $a0 &= 0xffff; $a1 &= 0xffff; $a2 &= 0xffff; $a3 &= 0xffff; $int >>= 1; } $return->limbs[0] = $ret0; $return->limbs[1] = $ret1; $return->limbs[2] = $ret2; $return->limbs[3] = $ret3; return $return; } /** * @param ParagonIE_Sodium_Core32_Int64 $A * @param ParagonIE_Sodium_Core32_Int64 $B * @return array * @throws SodiumException * @throws TypeError * @psalm-suppress MixedInferredReturnType */ public static function ctSelect( ParagonIE_Sodium_Core32_Int64 $A, ParagonIE_Sodium_Core32_Int64 $B ) { $a = clone $A; $b = clone $B; /** @var int $aNeg */ $aNeg = ($a->limbs[0] >> 15) & 1; /** @var int $bNeg */ $bNeg = ($b->limbs[0] >> 15) & 1; /** @var int $m */ $m = (-($aNeg & $bNeg)) | 1; /** @var int $swap */ $swap = $bNeg & ~$aNeg; /** @var int $d */ $d = -$swap; /* if ($bNeg && !$aNeg) { $a = clone $int; $b = clone $this; } elseif($bNeg && $aNeg) { $a = $this->mulInt(-1); $b = $int->mulInt(-1); } */ $x = $a->xorInt64($b)->mask64($d, $d); return array( $a->xorInt64($x)->mulInt($m), $b->xorInt64($x)->mulInt($m) ); } /** * @param array $a * @param array $b * @param int $baseLog2 * @return array */ public function multiplyLong(array $a, array $b, $baseLog2 = 16) { $a_l = count($a); $b_l = count($b); /** @var array $r */ $r = array_fill(0, $a_l + $b_l + 1, 0); $base = 1 << $baseLog2; for ($i = 0; $i < $a_l; ++$i) { $a_i = $a[$i]; for ($j = 0; $j < $a_l; ++$j) { $b_j = $b[$j]; $product = (($a_i * $b_j) + $r[$i + $j]); $carry = (((int) $product >> $baseLog2) & 0xffff); $r[$i + $j] = ((int) $product - (int) ($carry * $base)) & 0xffff; $r[$i + $j + 1] += $carry; } } return array_slice($r, 0, 5); } /** * @param int $int * @return ParagonIE_Sodium_Core32_Int64 */ public function mulIntFast($int) { // Handle negative numbers $aNeg = ($this->limbs[0] >> 15) & 1; $bNeg = ($int >> 31) & 1; $a = array_reverse($this->limbs); $b = array( $int & 0xffff, ($int >> 16) & 0xffff, -$bNeg & 0xffff, -$bNeg & 0xffff ); if ($aNeg) { for ($i = 0; $i < 4; ++$i) { $a[$i] = ($a[$i] ^ 0xffff) & 0xffff; } ++$a[0]; } if ($bNeg) { for ($i = 0; $i < 4; ++$i) { $b[$i] = ($b[$i] ^ 0xffff) & 0xffff; } ++$b[0]; } // Multiply $res = $this->multiplyLong($a, $b); // Re-apply negation to results if ($aNeg !== $bNeg) { for ($i = 0; $i < 4; ++$i) { $res[$i] = (0xffff ^ $res[$i]) & 0xffff; } // Handle integer overflow $c = 1; for ($i = 0; $i < 4; ++$i) { $res[$i] += $c; $c = $res[$i] >> 16; $res[$i] &= 0xffff; } } // Return our values $return = new ParagonIE_Sodium_Core32_Int64(); $return->limbs = array( $res[3] & 0xffff, $res[2] & 0xffff, $res[1] & 0xffff, $res[0] & 0xffff ); if (count($res) > 4) { $return->overflow = $res[4] & 0xffff; } $return->unsignedInt = $this->unsignedInt; return $return; } /** * @param ParagonIE_Sodium_Core32_Int64 $right * @return ParagonIE_Sodium_Core32_Int64 */ public function mulInt64Fast(ParagonIE_Sodium_Core32_Int64 $right) { $aNeg = ($this->limbs[0] >> 15) & 1; $bNeg = ($right->limbs[0] >> 15) & 1; $a = array_reverse($this->limbs); $b = array_reverse($right->limbs); if ($aNeg) { for ($i = 0; $i < 4; ++$i) { $a[$i] = ($a[$i] ^ 0xffff) & 0xffff; } ++$a[0]; } if ($bNeg) { for ($i = 0; $i < 4; ++$i) { $b[$i] = ($b[$i] ^ 0xffff) & 0xffff; } ++$b[0]; } $res = $this->multiplyLong($a, $b); if ($aNeg !== $bNeg) { if ($aNeg !== $bNeg) { for ($i = 0; $i < 4; ++$i) { $res[$i] = ($res[$i] ^ 0xffff) & 0xffff; } $c = 1; for ($i = 0; $i < 4; ++$i) { $res[$i] += $c; $c = $res[$i] >> 16; $res[$i] &= 0xffff; } } } $return = new ParagonIE_Sodium_Core32_Int64(); $return->limbs = array( $res[3] & 0xffff, $res[2] & 0xffff, $res[1] & 0xffff, $res[0] & 0xffff ); if (count($res) > 4) { $return->overflow = $res[4]; } return $return; } /** * @param ParagonIE_Sodium_Core32_Int64 $int * @param int $size * @return ParagonIE_Sodium_Core32_Int64 * @throws SodiumException * @throws TypeError * @psalm-suppress MixedAssignment */ public function mulInt64(ParagonIE_Sodium_Core32_Int64 $int, $size = 0) { if (ParagonIE_Sodium_Compat::$fastMult) { return $this->mulInt64Fast($int); } ParagonIE_Sodium_Core32_Util::declareScalarType($size, 'int', 2); if (!$size) { $size = 63; } list($a, $b) = self::ctSelect($this, $int); $return = new ParagonIE_Sodium_Core32_Int64(); $return->unsignedInt = $this->unsignedInt; // Initialize: $ret0 = 0; $ret1 = 0; $ret2 = 0; $ret3 = 0; $a0 = $a->limbs[0]; $a1 = $a->limbs[1]; $a2 = $a->limbs[2]; $a3 = $a->limbs[3]; $b0 = $b->limbs[0]; $b1 = $b->limbs[1]; $b2 = $b->limbs[2]; $b3 = $b->limbs[3]; /** @var int $size */ /** @var int $i */ for ($i = (int) $size; $i >= 0; --$i) { $mask = -($b3 & 1); $x0 = $a0 & $mask; $x1 = $a1 & $mask; $x2 = $a2 & $mask; $x3 = $a3 & $mask; $ret3 += $x3; $c = $ret3 >> 16; $ret2 += $x2 + $c; $c = $ret2 >> 16; $ret1 += $x1 + $c; $c = $ret1 >> 16; $ret0 += $x0 + $c; $ret0 &= 0xffff; $ret1 &= 0xffff; $ret2 &= 0xffff; $ret3 &= 0xffff; $a3 = $a3 << 1; $x3 = $a3 >> 16; $a2 = ($a2 << 1) | $x3; $x2 = $a2 >> 16; $a1 = ($a1 << 1) | $x2; $x1 = $a1 >> 16; $a0 = ($a0 << 1) | $x1; $a0 &= 0xffff; $a1 &= 0xffff; $a2 &= 0xffff; $a3 &= 0xffff; $x0 = ($b0 & 1) << 16; $x1 = ($b1 & 1) << 16; $x2 = ($b2 & 1) << 16; $b0 = ($b0 >> 1); $b1 = (($b1 | $x0) >> 1); $b2 = (($b2 | $x1) >> 1); $b3 = (($b3 | $x2) >> 1); $b0 &= 0xffff; $b1 &= 0xffff; $b2 &= 0xffff; $b3 &= 0xffff; } $return->limbs[0] = $ret0; $return->limbs[1] = $ret1; $return->limbs[2] = $ret2; $return->limbs[3] = $ret3; return $return; } /** * OR this 64-bit integer with another. * * @param ParagonIE_Sodium_Core32_Int64 $b * @return ParagonIE_Sodium_Core32_Int64 */ public function orInt64(ParagonIE_Sodium_Core32_Int64 $b) { $return = new ParagonIE_Sodium_Core32_Int64(); $return->unsignedInt = $this->unsignedInt; $return->limbs = array( (int) ($this->limbs[0] | $b->limbs[0]), (int) ($this->limbs[1] | $b->limbs[1]), (int) ($this->limbs[2] | $b->limbs[2]), (int) ($this->limbs[3] | $b->limbs[3]) ); return $return; } /** * @param int $c * @return ParagonIE_Sodium_Core32_Int64 * @throws SodiumException * @throws TypeError * @psalm-suppress MixedArrayAccess */ public function rotateLeft($c = 0) { ParagonIE_Sodium_Core32_Util::declareScalarType($c, 'int', 1); /** @var int $c */ $c = (int) $c; $return = new ParagonIE_Sodium_Core32_Int64(); $return->unsignedInt = $this->unsignedInt; $c &= 63; if ($c === 0) { // NOP, but we want a copy. $return->limbs = $this->limbs; } else { /** @var array $limbs */ $limbs =& $return->limbs; /** @var array $myLimbs */ $myLimbs =& $this->limbs; /** @var int $idx_shift */ $idx_shift = ($c >> 4) & 3; /** @var int $sub_shift */ $sub_shift = $c & 15; for ($i = 3; $i >= 0; --$i) { /** @var int $j */ $j = ($i + $idx_shift) & 3; /** @var int $k */ $k = ($i + $idx_shift + 1) & 3; $limbs[$i] = (int) ( ( ((int) ($myLimbs[$j]) << $sub_shift) | ((int) ($myLimbs[$k]) >> (16 - $sub_shift)) ) & 0xffff ); } } return $return; } /** * Rotate to the right * * @param int $c * @return ParagonIE_Sodium_Core32_Int64 * @throws SodiumException * @throws TypeError * @psalm-suppress MixedArrayAccess */ public function rotateRight($c = 0) { ParagonIE_Sodium_Core32_Util::declareScalarType($c, 'int', 1); /** @var int $c */ $c = (int) $c; /** @var ParagonIE_Sodium_Core32_Int64 $return */ $return = new ParagonIE_Sodium_Core32_Int64(); $return->unsignedInt = $this->unsignedInt; $c &= 63; /** @var int $c */ if ($c === 0) { // NOP, but we want a copy. $return->limbs = $this->limbs; } else { /** @var array $limbs */ $limbs =& $return->limbs; /** @var array $myLimbs */ $myLimbs =& $this->limbs; /** @var int $idx_shift */ $idx_shift = ($c >> 4) & 3; /** @var int $sub_shift */ $sub_shift = $c & 15; for ($i = 3; $i >= 0; --$i) { /** @var int $j */ $j = ($i - $idx_shift) & 3; /** @var int $k */ $k = ($i - $idx_shift - 1) & 3; $limbs[$i] = (int) ( ( ((int) ($myLimbs[$j]) >> (int) ($sub_shift)) | ((int) ($myLimbs[$k]) << (16 - (int) ($sub_shift))) ) & 0xffff ); } } return $return; } /** * @param int $c * @return ParagonIE_Sodium_Core32_Int64 * @throws SodiumException * @throws TypeError */ public function shiftLeft($c = 0) { ParagonIE_Sodium_Core32_Util::declareScalarType($c, 'int', 1); /** @var int $c */ $c = (int) $c; $return = new ParagonIE_Sodium_Core32_Int64(); $return->unsignedInt = $this->unsignedInt; $c &= 63; if ($c >= 16) { if ($c >= 48) { $return->limbs = array( $this->limbs[3], 0, 0, 0 ); } elseif ($c >= 32) { $return->limbs = array( $this->limbs[2], $this->limbs[3], 0, 0 ); } else { $return->limbs = array( $this->limbs[1], $this->limbs[2], $this->limbs[3], 0 ); } return $return->shiftLeft($c & 15); } if ($c === 0) { $return->limbs = $this->limbs; } elseif ($c < 0) { /** @var int $c */ return $this->shiftRight(-$c); } else { if (!is_int($c)) { throw new TypeError(); } /** @var int $carry */ $carry = 0; for ($i = 3; $i >= 0; --$i) { /** @var int $tmp */ $tmp = ($this->limbs[$i] << $c) | ($carry & 0xffff); $return->limbs[$i] = (int) ($tmp & 0xffff); /** @var int $carry */ $carry = $tmp >> 16; } } return $return; } /** * @param int $c * @return ParagonIE_Sodium_Core32_Int64 * @throws SodiumException * @throws TypeError */ public function shiftRight($c = 0) { ParagonIE_Sodium_Core32_Util::declareScalarType($c, 'int', 1); $c = (int) $c; /** @var int $c */ $return = new ParagonIE_Sodium_Core32_Int64(); $return->unsignedInt = $this->unsignedInt; $c &= 63; $negative = -(($this->limbs[0] >> 15) & 1); if ($c >= 16) { if ($c >= 48) { $return->limbs = array( (int) ($negative & 0xffff), (int) ($negative & 0xffff), (int) ($negative & 0xffff), (int) $this->limbs[0] ); } elseif ($c >= 32) { $return->limbs = array( (int) ($negative & 0xffff), (int) ($negative & 0xffff), (int) $this->limbs[0], (int) $this->limbs[1] ); } else { $return->limbs = array( (int) ($negative & 0xffff), (int) $this->limbs[0], (int) $this->limbs[1], (int) $this->limbs[2] ); } return $return->shiftRight($c & 15); } if ($c === 0) { $return->limbs = $this->limbs; } elseif ($c < 0) { return $this->shiftLeft(-$c); } else { if (!is_int($c)) { throw new TypeError(); } /** @var int $carryRight */ $carryRight = ($negative & 0xffff); $mask = (int) (((1 << ($c + 1)) - 1) & 0xffff); for ($i = 0; $i < 4; ++$i) { $return->limbs[$i] = (int) ( (($this->limbs[$i] >> $c) | ($carryRight << (16 - $c))) & 0xffff ); $carryRight = (int) ($this->limbs[$i] & $mask); } } return $return; } /** * Subtract a normal integer from an int64 object. * * @param int $int * @return ParagonIE_Sodium_Core32_Int64 * @throws SodiumException * @throws TypeError */ public function subInt($int) { ParagonIE_Sodium_Core32_Util::declareScalarType($int, 'int', 1); $int = (int) $int; $return = new ParagonIE_Sodium_Core32_Int64(); $return->unsignedInt = $this->unsignedInt; /** @var int $carry */ $carry = 0; for ($i = 3; $i >= 0; --$i) { /** @var int $tmp */ $tmp = $this->limbs[$i] - (($int >> 16) & 0xffff) + $carry; /** @var int $carry */ $carry = $tmp >> 16; $return->limbs[$i] = (int) ($tmp & 0xffff); } return $return; } /** * The difference between two Int64 objects. * * @param ParagonIE_Sodium_Core32_Int64 $b * @return ParagonIE_Sodium_Core32_Int64 */ public function subInt64(ParagonIE_Sodium_Core32_Int64 $b) { $return = new ParagonIE_Sodium_Core32_Int64(); $return->unsignedInt = $this->unsignedInt; /** @var int $carry */ $carry = 0; for ($i = 3; $i >= 0; --$i) { /** @var int $tmp */ $tmp = $this->limbs[$i] - $b->limbs[$i] + $carry; /** @var int $carry */ $carry = ($tmp >> 16); $return->limbs[$i] = (int) ($tmp & 0xffff); } return $return; } /** * XOR this 64-bit integer with another. * * @param ParagonIE_Sodium_Core32_Int64 $b * @return ParagonIE_Sodium_Core32_Int64 */ public function xorInt64(ParagonIE_Sodium_Core32_Int64 $b) { $return = new ParagonIE_Sodium_Core32_Int64(); $return->unsignedInt = $this->unsignedInt; $return->limbs = array( (int) ($this->limbs[0] ^ $b->limbs[0]), (int) ($this->limbs[1] ^ $b->limbs[1]), (int) ($this->limbs[2] ^ $b->limbs[2]), (int) ($this->limbs[3] ^ $b->limbs[3]) ); return $return; } /** * @param int $low * @param int $high * @return self * @throws SodiumException * @throws TypeError */ public static function fromInts($low, $high) { ParagonIE_Sodium_Core32_Util::declareScalarType($low, 'int', 1); ParagonIE_Sodium_Core32_Util::declareScalarType($high, 'int', 2); $high = (int) $high; $low = (int) $low; return new ParagonIE_Sodium_Core32_Int64( array( (int) (($high >> 16) & 0xffff), (int) ($high & 0xffff), (int) (($low >> 16) & 0xffff), (int) ($low & 0xffff) ) ); } /** * @param int $low * @return self * @throws SodiumException * @throws TypeError */ public static function fromInt($low) { ParagonIE_Sodium_Core32_Util::declareScalarType($low, 'int', 1); $low = (int) $low; return new ParagonIE_Sodium_Core32_Int64( array( 0, 0, (int) (($low >> 16) & 0xffff), (int) ($low & 0xffff) ) ); } /** * @return int */ public function toInt() { return (int) ( (($this->limbs[2] & 0xffff) << 16) | ($this->limbs[3] & 0xffff) ); } /** * @param string $string * @return self * @throws SodiumException * @throws TypeError */ public static function fromString($string) { ParagonIE_Sodium_Core32_Util::declareScalarType($string, 'string', 1); $string = (string) $string; if (ParagonIE_Sodium_Core32_Util::strlen($string) !== 8) { throw new RangeException( 'String must be 8 bytes; ' . ParagonIE_Sodium_Core32_Util::strlen($string) . ' given.' ); } $return = new ParagonIE_Sodium_Core32_Int64(); $return->limbs[0] = (int) ((ParagonIE_Sodium_Core32_Util::chrToInt($string[0]) & 0xff) << 8); $return->limbs[0] |= (ParagonIE_Sodium_Core32_Util::chrToInt($string[1]) & 0xff); $return->limbs[1] = (int) ((ParagonIE_Sodium_Core32_Util::chrToInt($string[2]) & 0xff) << 8); $return->limbs[1] |= (ParagonIE_Sodium_Core32_Util::chrToInt($string[3]) & 0xff); $return->limbs[2] = (int) ((ParagonIE_Sodium_Core32_Util::chrToInt($string[4]) & 0xff) << 8); $return->limbs[2] |= (ParagonIE_Sodium_Core32_Util::chrToInt($string[5]) & 0xff); $return->limbs[3] = (int) ((ParagonIE_Sodium_Core32_Util::chrToInt($string[6]) & 0xff) << 8); $return->limbs[3] |= (ParagonIE_Sodium_Core32_Util::chrToInt($string[7]) & 0xff); return $return; } /** * @param string $string * @return self * @throws SodiumException * @throws TypeError */ public static function fromReverseString($string) { ParagonIE_Sodium_Core32_Util::declareScalarType($string, 'string', 1); $string = (string) $string; if (ParagonIE_Sodium_Core32_Util::strlen($string) !== 8) { throw new RangeException( 'String must be 8 bytes; ' . ParagonIE_Sodium_Core32_Util::strlen($string) . ' given.' ); } $return = new ParagonIE_Sodium_Core32_Int64(); $return->limbs[0] = (int) ((ParagonIE_Sodium_Core32_Util::chrToInt($string[7]) & 0xff) << 8); $return->limbs[0] |= (ParagonIE_Sodium_Core32_Util::chrToInt($string[6]) & 0xff); $return->limbs[1] = (int) ((ParagonIE_Sodium_Core32_Util::chrToInt($string[5]) & 0xff) << 8); $return->limbs[1] |= (ParagonIE_Sodium_Core32_Util::chrToInt($string[4]) & 0xff); $return->limbs[2] = (int) ((ParagonIE_Sodium_Core32_Util::chrToInt($string[3]) & 0xff) << 8); $return->limbs[2] |= (ParagonIE_Sodium_Core32_Util::chrToInt($string[2]) & 0xff); $return->limbs[3] = (int) ((ParagonIE_Sodium_Core32_Util::chrToInt($string[1]) & 0xff) << 8); $return->limbs[3] |= (ParagonIE_Sodium_Core32_Util::chrToInt($string[0]) & 0xff); return $return; } /** * @return array */ public function toArray() { return array( (int) ((($this->limbs[0] & 0xffff) << 16) | ($this->limbs[1] & 0xffff)), (int) ((($this->limbs[2] & 0xffff) << 16) | ($this->limbs[3] & 0xffff)) ); } /** * @return ParagonIE_Sodium_Core32_Int32 */ public function toInt32() { $return = new ParagonIE_Sodium_Core32_Int32(); $return->limbs[0] = (int) ($this->limbs[2]); $return->limbs[1] = (int) ($this->limbs[3]); $return->unsignedInt = $this->unsignedInt; $return->overflow = (int) (ParagonIE_Sodium_Core32_Util::abs($this->limbs[1], 16) & 0xffff); return $return; } /** * @return ParagonIE_Sodium_Core32_Int64 */ public function toInt64() { $return = new ParagonIE_Sodium_Core32_Int64(); $return->limbs[0] = (int) ($this->limbs[0]); $return->limbs[1] = (int) ($this->limbs[1]); $return->limbs[2] = (int) ($this->limbs[2]); $return->limbs[3] = (int) ($this->limbs[3]); $return->unsignedInt = $this->unsignedInt; $return->overflow = ParagonIE_Sodium_Core32_Util::abs($this->overflow); return $return; } /** * @param bool $bool * @return self */ public function setUnsignedInt($bool = false) { $this->unsignedInt = !empty($bool); return $this; } /** * @return string * @throws TypeError */ public function toString() { return ParagonIE_Sodium_Core32_Util::intToChr(($this->limbs[0] >> 8) & 0xff) . ParagonIE_Sodium_Core32_Util::intToChr($this->limbs[0] & 0xff) . ParagonIE_Sodium_Core32_Util::intToChr(($this->limbs[1] >> 8) & 0xff) . ParagonIE_Sodium_Core32_Util::intToChr($this->limbs[1] & 0xff) . ParagonIE_Sodium_Core32_Util::intToChr(($this->limbs[2] >> 8) & 0xff) . ParagonIE_Sodium_Core32_Util::intToChr($this->limbs[2] & 0xff) . ParagonIE_Sodium_Core32_Util::intToChr(($this->limbs[3] >> 8) & 0xff) . ParagonIE_Sodium_Core32_Util::intToChr($this->limbs[3] & 0xff); } /** * @return string * @throws TypeError */ public function toReverseString() { return ParagonIE_Sodium_Core32_Util::intToChr($this->limbs[3] & 0xff) . ParagonIE_Sodium_Core32_Util::intToChr(($this->limbs[3] >> 8) & 0xff) . ParagonIE_Sodium_Core32_Util::intToChr($this->limbs[2] & 0xff) . ParagonIE_Sodium_Core32_Util::intToChr(($this->limbs[2] >> 8) & 0xff) . ParagonIE_Sodium_Core32_Util::intToChr($this->limbs[1] & 0xff) . ParagonIE_Sodium_Core32_Util::intToChr(($this->limbs[1] >> 8) & 0xff) . ParagonIE_Sodium_Core32_Util::intToChr($this->limbs[0] & 0xff) . ParagonIE_Sodium_Core32_Util::intToChr(($this->limbs[0] >> 8) & 0xff); } /** * @return string */ public function __toString() { try { return $this->toString(); } catch (TypeError $ex) { // PHP engine can't handle exceptions from __toString() return ''; } } } Util.php000064400000000321147207027610006174 0ustar00toReverseString() . $x1->toReverseString() . $x2->toReverseString() . $x3->toReverseString() . $x12->toReverseString() . $x13->toReverseString() . $x14->toReverseString() . $x15->toReverseString(); } } Poly1305.php000064400000003062147207027610006520 0ustar00update($m) ->finish(); } /** * @internal You should not use this directly from another application * * @param string $mac * @param string $m * @param string $key * @return bool * @throws SodiumException * @throws TypeError */ public static function onetimeauth_verify($mac, $m, $key) { if (self::strlen($key) < 32) { throw new InvalidArgumentException( 'Key must be 32 bytes long.' ); } $state = new ParagonIE_Sodium_Core32_Poly1305_State( self::substr($key, 0, 32) ); $calc = $state ->update($m) ->finish(); return self::verify_16($calc, $mac); } } Int32.php000064400000060004147207027610006162 0ustar00 - two 16-bit integers * * 0 is the higher 16 bits * 1 is the lower 16 bits */ public $limbs = array(0, 0); /** * @var int */ public $overflow = 0; /** * @var bool */ public $unsignedInt = false; /** * ParagonIE_Sodium_Core32_Int32 constructor. * @param array $array * @param bool $unsignedInt */ public function __construct($array = array(0, 0), $unsignedInt = false) { $this->limbs = array( (int) $array[0], (int) $array[1] ); $this->overflow = 0; $this->unsignedInt = $unsignedInt; } /** * Adds two int32 objects * * @param ParagonIE_Sodium_Core32_Int32 $addend * @return ParagonIE_Sodium_Core32_Int32 */ public function addInt32(ParagonIE_Sodium_Core32_Int32 $addend) { $i0 = $this->limbs[0]; $i1 = $this->limbs[1]; $j0 = $addend->limbs[0]; $j1 = $addend->limbs[1]; $r1 = $i1 + ($j1 & 0xffff); $carry = $r1 >> 16; $r0 = $i0 + ($j0 & 0xffff) + $carry; $carry = $r0 >> 16; $r0 &= 0xffff; $r1 &= 0xffff; $return = new ParagonIE_Sodium_Core32_Int32( array($r0, $r1) ); $return->overflow = $carry; $return->unsignedInt = $this->unsignedInt; return $return; } /** * Adds a normal integer to an int32 object * * @param int $int * @return ParagonIE_Sodium_Core32_Int32 * @throws SodiumException * @throws TypeError */ public function addInt($int) { ParagonIE_Sodium_Core32_Util::declareScalarType($int, 'int', 1); /** @var int $int */ $int = (int) $int; $int = (int) $int; $i0 = $this->limbs[0]; $i1 = $this->limbs[1]; $r1 = $i1 + ($int & 0xffff); $carry = $r1 >> 16; $r0 = $i0 + (($int >> 16) & 0xffff) + $carry; $carry = $r0 >> 16; $r0 &= 0xffff; $r1 &= 0xffff; $return = new ParagonIE_Sodium_Core32_Int32( array($r0, $r1) ); $return->overflow = $carry; $return->unsignedInt = $this->unsignedInt; return $return; } /** * @param int $b * @return int */ public function compareInt($b = 0) { $gt = 0; $eq = 1; $i = 2; $j = 0; while ($i > 0) { --$i; /** @var int $x1 */ $x1 = $this->limbs[$i]; /** @var int $x2 */ $x2 = ($b >> ($j << 4)) & 0xffff; /** @var int $gt */ $gt |= (($x2 - $x1) >> 8) & $eq; /** @var int $eq */ $eq &= (($x2 ^ $x1) - 1) >> 8; } return ($gt + $gt - $eq) + 1; } /** * @param int $m * @return ParagonIE_Sodium_Core32_Int32 */ public function mask($m = 0) { /** @var int $hi */ $hi = ((int) $m >> 16); $hi &= 0xffff; /** @var int $lo */ $lo = ((int) $m) & 0xffff; return new ParagonIE_Sodium_Core32_Int32( array( (int) ($this->limbs[0] & $hi), (int) ($this->limbs[1] & $lo) ), $this->unsignedInt ); } /** * @param array $a * @param array $b * @param int $baseLog2 * @return array */ public function multiplyLong(array $a, array $b, $baseLog2 = 16) { $a_l = count($a); $b_l = count($b); /** @var array $r */ $r = array_fill(0, $a_l + $b_l + 1, 0); $base = 1 << $baseLog2; for ($i = 0; $i < $a_l; ++$i) { $a_i = $a[$i]; for ($j = 0; $j < $a_l; ++$j) { $b_j = $b[$j]; $product = ($a_i * $b_j) + $r[$i + $j]; $carry = ((int) $product >> $baseLog2 & 0xffff); $r[$i + $j] = ((int) $product - (int) ($carry * $base)) & 0xffff; $r[$i + $j + 1] += $carry; } } return array_slice($r, 0, 5); } /** * @param int $int * @return ParagonIE_Sodium_Core32_Int32 */ public function mulIntFast($int) { // Handle negative numbers $aNeg = ($this->limbs[0] >> 15) & 1; $bNeg = ($int >> 31) & 1; $a = array_reverse($this->limbs); $b = array( $int & 0xffff, ($int >> 16) & 0xffff ); if ($aNeg) { for ($i = 0; $i < 2; ++$i) { $a[$i] = ($a[$i] ^ 0xffff) & 0xffff; } ++$a[0]; } if ($bNeg) { for ($i = 0; $i < 2; ++$i) { $b[$i] = ($b[$i] ^ 0xffff) & 0xffff; } ++$b[0]; } // Multiply $res = $this->multiplyLong($a, $b); // Re-apply negation to results if ($aNeg !== $bNeg) { for ($i = 0; $i < 2; ++$i) { $res[$i] = (0xffff ^ $res[$i]) & 0xffff; } // Handle integer overflow $c = 1; for ($i = 0; $i < 2; ++$i) { $res[$i] += $c; $c = $res[$i] >> 16; $res[$i] &= 0xffff; } } // Return our values $return = new ParagonIE_Sodium_Core32_Int32(); $return->limbs = array( $res[1] & 0xffff, $res[0] & 0xffff ); if (count($res) > 2) { $return->overflow = $res[2] & 0xffff; } $return->unsignedInt = $this->unsignedInt; return $return; } /** * @param ParagonIE_Sodium_Core32_Int32 $right * @return ParagonIE_Sodium_Core32_Int32 */ public function mulInt32Fast(ParagonIE_Sodium_Core32_Int32 $right) { $aNeg = ($this->limbs[0] >> 15) & 1; $bNeg = ($right->limbs[0] >> 15) & 1; $a = array_reverse($this->limbs); $b = array_reverse($right->limbs); if ($aNeg) { for ($i = 0; $i < 2; ++$i) { $a[$i] = ($a[$i] ^ 0xffff) & 0xffff; } ++$a[0]; } if ($bNeg) { for ($i = 0; $i < 2; ++$i) { $b[$i] = ($b[$i] ^ 0xffff) & 0xffff; } ++$b[0]; } $res = $this->multiplyLong($a, $b); if ($aNeg !== $bNeg) { if ($aNeg !== $bNeg) { for ($i = 0; $i < 2; ++$i) { $res[$i] = ($res[$i] ^ 0xffff) & 0xffff; } $c = 1; for ($i = 0; $i < 2; ++$i) { $res[$i] += $c; $c = $res[$i] >> 16; $res[$i] &= 0xffff; } } } $return = new ParagonIE_Sodium_Core32_Int32(); $return->limbs = array( $res[1] & 0xffff, $res[0] & 0xffff ); if (count($res) > 2) { $return->overflow = $res[2]; } return $return; } /** * @param int $int * @param int $size * @return ParagonIE_Sodium_Core32_Int32 * @throws SodiumException * @throws TypeError */ public function mulInt($int = 0, $size = 0) { ParagonIE_Sodium_Core32_Util::declareScalarType($int, 'int', 1); ParagonIE_Sodium_Core32_Util::declareScalarType($size, 'int', 2); if (ParagonIE_Sodium_Compat::$fastMult) { return $this->mulIntFast((int) $int); } /** @var int $int */ $int = (int) $int; /** @var int $size */ $size = (int) $size; if (!$size) { $size = 31; } /** @var int $size */ $a = clone $this; $return = new ParagonIE_Sodium_Core32_Int32(); $return->unsignedInt = $this->unsignedInt; // Initialize: $ret0 = 0; $ret1 = 0; $a0 = $a->limbs[0]; $a1 = $a->limbs[1]; /** @var int $size */ /** @var int $i */ for ($i = $size; $i >= 0; --$i) { $m = (int) (-($int & 1)); $x0 = $a0 & $m; $x1 = $a1 & $m; $ret1 += $x1; $c = $ret1 >> 16; $ret0 += $x0 + $c; $ret0 &= 0xffff; $ret1 &= 0xffff; $a1 = ($a1 << 1); $x1 = $a1 >> 16; $a0 = ($a0 << 1) | $x1; $a0 &= 0xffff; $a1 &= 0xffff; $int >>= 1; } $return->limbs[0] = $ret0; $return->limbs[1] = $ret1; return $return; } /** * @param ParagonIE_Sodium_Core32_Int32 $int * @param int $size * @return ParagonIE_Sodium_Core32_Int32 * @throws SodiumException * @throws TypeError */ public function mulInt32(ParagonIE_Sodium_Core32_Int32 $int, $size = 0) { ParagonIE_Sodium_Core32_Util::declareScalarType($size, 'int', 2); if (ParagonIE_Sodium_Compat::$fastMult) { return $this->mulInt32Fast($int); } if (!$size) { $size = 31; } /** @var int $size */ $a = clone $this; $b = clone $int; $return = new ParagonIE_Sodium_Core32_Int32(); $return->unsignedInt = $this->unsignedInt; // Initialize: $ret0 = 0; $ret1 = 0; $a0 = $a->limbs[0]; $a1 = $a->limbs[1]; $b0 = $b->limbs[0]; $b1 = $b->limbs[1]; /** @var int $size */ /** @var int $i */ for ($i = $size; $i >= 0; --$i) { $m = (int) (-($b1 & 1)); $x0 = $a0 & $m; $x1 = $a1 & $m; $ret1 += $x1; $c = $ret1 >> 16; $ret0 += $x0 + $c; $ret0 &= 0xffff; $ret1 &= 0xffff; $a1 = ($a1 << 1); $x1 = $a1 >> 16; $a0 = ($a0 << 1) | $x1; $a0 &= 0xffff; $a1 &= 0xffff; $x0 = ($b0 & 1) << 16; $b0 = ($b0 >> 1); $b1 = (($b1 | $x0) >> 1); $b0 &= 0xffff; $b1 &= 0xffff; } $return->limbs[0] = $ret0; $return->limbs[1] = $ret1; return $return; } /** * OR this 32-bit integer with another. * * @param ParagonIE_Sodium_Core32_Int32 $b * @return ParagonIE_Sodium_Core32_Int32 */ public function orInt32(ParagonIE_Sodium_Core32_Int32 $b) { $return = new ParagonIE_Sodium_Core32_Int32(); $return->unsignedInt = $this->unsignedInt; $return->limbs = array( (int) ($this->limbs[0] | $b->limbs[0]), (int) ($this->limbs[1] | $b->limbs[1]) ); /** @var int overflow */ $return->overflow = $this->overflow | $b->overflow; return $return; } /** * @param int $b * @return bool */ public function isGreaterThan($b = 0) { return $this->compareInt($b) > 0; } /** * @param int $b * @return bool */ public function isLessThanInt($b = 0) { return $this->compareInt($b) < 0; } /** * @param int $c * @return ParagonIE_Sodium_Core32_Int32 * @throws SodiumException * @throws TypeError * @psalm-suppress MixedArrayAccess */ public function rotateLeft($c = 0) { ParagonIE_Sodium_Core32_Util::declareScalarType($c, 'int', 1); /** @var int $c */ $c = (int) $c; $return = new ParagonIE_Sodium_Core32_Int32(); $return->unsignedInt = $this->unsignedInt; $c &= 31; if ($c === 0) { // NOP, but we want a copy. $return->limbs = $this->limbs; } else { /** @var int $c */ /** @var int $idx_shift */ $idx_shift = ($c >> 4) & 1; /** @var int $sub_shift */ $sub_shift = $c & 15; /** @var array $limbs */ $limbs =& $return->limbs; /** @var array $myLimbs */ $myLimbs =& $this->limbs; for ($i = 1; $i >= 0; --$i) { /** @var int $j */ $j = ($i + $idx_shift) & 1; /** @var int $k */ $k = ($i + $idx_shift + 1) & 1; $limbs[$i] = (int) ( ( ((int) ($myLimbs[$j]) << $sub_shift) | ((int) ($myLimbs[$k]) >> (16 - $sub_shift)) ) & 0xffff ); } } return $return; } /** * Rotate to the right * * @param int $c * @return ParagonIE_Sodium_Core32_Int32 * @throws SodiumException * @throws TypeError * @psalm-suppress MixedArrayAccess */ public function rotateRight($c = 0) { ParagonIE_Sodium_Core32_Util::declareScalarType($c, 'int', 1); /** @var int $c */ $c = (int) $c; $return = new ParagonIE_Sodium_Core32_Int32(); $return->unsignedInt = $this->unsignedInt; $c &= 31; /** @var int $c */ if ($c === 0) { // NOP, but we want a copy. $return->limbs = $this->limbs; } else { /** @var int $c */ /** @var int $idx_shift */ $idx_shift = ($c >> 4) & 1; /** @var int $sub_shift */ $sub_shift = $c & 15; /** @var array $limbs */ $limbs =& $return->limbs; /** @var array $myLimbs */ $myLimbs =& $this->limbs; for ($i = 1; $i >= 0; --$i) { /** @var int $j */ $j = ($i - $idx_shift) & 1; /** @var int $k */ $k = ($i - $idx_shift - 1) & 1; $limbs[$i] = (int) ( ( ((int) ($myLimbs[$j]) >> (int) ($sub_shift)) | ((int) ($myLimbs[$k]) << (16 - (int) ($sub_shift))) ) & 0xffff ); } } return $return; } /** * @param bool $bool * @return self */ public function setUnsignedInt($bool = false) { $this->unsignedInt = !empty($bool); return $this; } /** * @param int $c * @return ParagonIE_Sodium_Core32_Int32 * @throws SodiumException * @throws TypeError */ public function shiftLeft($c = 0) { ParagonIE_Sodium_Core32_Util::declareScalarType($c, 'int', 1); /** @var int $c */ $c = (int) $c; $return = new ParagonIE_Sodium_Core32_Int32(); $return->unsignedInt = $this->unsignedInt; $c &= 63; /** @var int $c */ if ($c === 0) { $return->limbs = $this->limbs; } elseif ($c < 0) { /** @var int $c */ return $this->shiftRight(-$c); } else { /** @var int $c */ /** @var int $tmp */ $tmp = $this->limbs[1] << $c; $return->limbs[1] = (int)($tmp & 0xffff); /** @var int $carry */ $carry = $tmp >> 16; /** @var int $tmp */ $tmp = ($this->limbs[0] << $c) | ($carry & 0xffff); $return->limbs[0] = (int) ($tmp & 0xffff); } return $return; } /** * @param int $c * @return ParagonIE_Sodium_Core32_Int32 * @throws SodiumException * @throws TypeError * @psalm-suppress MixedAssignment * @psalm-suppress MixedOperand */ public function shiftRight($c = 0) { ParagonIE_Sodium_Core32_Util::declareScalarType($c, 'int', 1); /** @var int $c */ $c = (int) $c; $return = new ParagonIE_Sodium_Core32_Int32(); $return->unsignedInt = $this->unsignedInt; $c &= 63; /** @var int $c */ if ($c >= 16) { $return->limbs = array( (int) ($this->overflow & 0xffff), (int) ($this->limbs[0]) ); $return->overflow = $this->overflow >> 16; return $return->shiftRight($c & 15); } if ($c === 0) { $return->limbs = $this->limbs; } elseif ($c < 0) { /** @var int $c */ return $this->shiftLeft(-$c); } else { if (!is_int($c)) { throw new TypeError(); } /** @var int $c */ // $return->limbs[0] = (int) (($this->limbs[0] >> $c) & 0xffff); $carryLeft = (int) ($this->overflow & ((1 << ($c + 1)) - 1)); $return->limbs[0] = (int) ((($this->limbs[0] >> $c) | ($carryLeft << (16 - $c))) & 0xffff); $carryRight = (int) ($this->limbs[0] & ((1 << ($c + 1)) - 1)); $return->limbs[1] = (int) ((($this->limbs[1] >> $c) | ($carryRight << (16 - $c))) & 0xffff); $return->overflow >>= $c; } return $return; } /** * Subtract a normal integer from an int32 object. * * @param int $int * @return ParagonIE_Sodium_Core32_Int32 * @throws SodiumException * @throws TypeError */ public function subInt($int) { ParagonIE_Sodium_Core32_Util::declareScalarType($int, 'int', 1); /** @var int $int */ $int = (int) $int; $return = new ParagonIE_Sodium_Core32_Int32(); $return->unsignedInt = $this->unsignedInt; /** @var int $tmp */ $tmp = $this->limbs[1] - ($int & 0xffff); /** @var int $carry */ $carry = $tmp >> 16; $return->limbs[1] = (int) ($tmp & 0xffff); /** @var int $tmp */ $tmp = $this->limbs[0] - (($int >> 16) & 0xffff) + $carry; $return->limbs[0] = (int) ($tmp & 0xffff); return $return; } /** * Subtract two int32 objects from each other * * @param ParagonIE_Sodium_Core32_Int32 $b * @return ParagonIE_Sodium_Core32_Int32 */ public function subInt32(ParagonIE_Sodium_Core32_Int32 $b) { $return = new ParagonIE_Sodium_Core32_Int32(); $return->unsignedInt = $this->unsignedInt; /** @var int $tmp */ $tmp = $this->limbs[1] - ($b->limbs[1] & 0xffff); /** @var int $carry */ $carry = $tmp >> 16; $return->limbs[1] = (int) ($tmp & 0xffff); /** @var int $tmp */ $tmp = $this->limbs[0] - ($b->limbs[0] & 0xffff) + $carry; $return->limbs[0] = (int) ($tmp & 0xffff); return $return; } /** * XOR this 32-bit integer with another. * * @param ParagonIE_Sodium_Core32_Int32 $b * @return ParagonIE_Sodium_Core32_Int32 */ public function xorInt32(ParagonIE_Sodium_Core32_Int32 $b) { $return = new ParagonIE_Sodium_Core32_Int32(); $return->unsignedInt = $this->unsignedInt; $return->limbs = array( (int) ($this->limbs[0] ^ $b->limbs[0]), (int) ($this->limbs[1] ^ $b->limbs[1]) ); return $return; } /** * @param int $signed * @return self * @throws SodiumException * @throws TypeError */ public static function fromInt($signed) { ParagonIE_Sodium_Core32_Util::declareScalarType($signed, 'int', 1);; /** @var int $signed */ $signed = (int) $signed; return new ParagonIE_Sodium_Core32_Int32( array( (int) (($signed >> 16) & 0xffff), (int) ($signed & 0xffff) ) ); } /** * @param string $string * @return self * @throws SodiumException * @throws TypeError */ public static function fromString($string) { ParagonIE_Sodium_Core32_Util::declareScalarType($string, 'string', 1); $string = (string) $string; if (ParagonIE_Sodium_Core32_Util::strlen($string) !== 4) { throw new RangeException( 'String must be 4 bytes; ' . ParagonIE_Sodium_Core32_Util::strlen($string) . ' given.' ); } $return = new ParagonIE_Sodium_Core32_Int32(); $return->limbs[0] = (int) ((ParagonIE_Sodium_Core32_Util::chrToInt($string[0]) & 0xff) << 8); $return->limbs[0] |= (ParagonIE_Sodium_Core32_Util::chrToInt($string[1]) & 0xff); $return->limbs[1] = (int) ((ParagonIE_Sodium_Core32_Util::chrToInt($string[2]) & 0xff) << 8); $return->limbs[1] |= (ParagonIE_Sodium_Core32_Util::chrToInt($string[3]) & 0xff); return $return; } /** * @param string $string * @return self * @throws SodiumException * @throws TypeError */ public static function fromReverseString($string) { ParagonIE_Sodium_Core32_Util::declareScalarType($string, 'string', 1); $string = (string) $string; if (ParagonIE_Sodium_Core32_Util::strlen($string) !== 4) { throw new RangeException( 'String must be 4 bytes; ' . ParagonIE_Sodium_Core32_Util::strlen($string) . ' given.' ); } $return = new ParagonIE_Sodium_Core32_Int32(); $return->limbs[0] = (int) ((ParagonIE_Sodium_Core32_Util::chrToInt($string[3]) & 0xff) << 8); $return->limbs[0] |= (ParagonIE_Sodium_Core32_Util::chrToInt($string[2]) & 0xff); $return->limbs[1] = (int) ((ParagonIE_Sodium_Core32_Util::chrToInt($string[1]) & 0xff) << 8); $return->limbs[1] |= (ParagonIE_Sodium_Core32_Util::chrToInt($string[0]) & 0xff); return $return; } /** * @return array */ public function toArray() { return array((int) ($this->limbs[0] << 16 | $this->limbs[1])); } /** * @return string * @throws TypeError */ public function toString() { return ParagonIE_Sodium_Core32_Util::intToChr(($this->limbs[0] >> 8) & 0xff) . ParagonIE_Sodium_Core32_Util::intToChr($this->limbs[0] & 0xff) . ParagonIE_Sodium_Core32_Util::intToChr(($this->limbs[1] >> 8) & 0xff) . ParagonIE_Sodium_Core32_Util::intToChr($this->limbs[1] & 0xff); } /** * @return int */ public function toInt() { return (int) ( (($this->limbs[0] & 0xffff) << 16) | ($this->limbs[1] & 0xffff) ); } /** * @return ParagonIE_Sodium_Core32_Int32 */ public function toInt32() { $return = new ParagonIE_Sodium_Core32_Int32(); $return->limbs[0] = (int) ($this->limbs[0] & 0xffff); $return->limbs[1] = (int) ($this->limbs[1] & 0xffff); $return->unsignedInt = $this->unsignedInt; $return->overflow = (int) ($this->overflow & 0x7fffffff); return $return; } /** * @return ParagonIE_Sodium_Core32_Int64 */ public function toInt64() { $return = new ParagonIE_Sodium_Core32_Int64(); $return->unsignedInt = $this->unsignedInt; if ($this->unsignedInt) { $return->limbs[0] += (($this->overflow >> 16) & 0xffff); $return->limbs[1] += (($this->overflow) & 0xffff); } else { $neg = -(($this->limbs[0] >> 15) & 1); $return->limbs[0] = (int)($neg & 0xffff); $return->limbs[1] = (int)($neg & 0xffff); } $return->limbs[2] = (int) ($this->limbs[0] & 0xffff); $return->limbs[3] = (int) ($this->limbs[1] & 0xffff); return $return; } /** * @return string * @throws TypeError */ public function toReverseString() { return ParagonIE_Sodium_Core32_Util::intToChr($this->limbs[1] & 0xff) . ParagonIE_Sodium_Core32_Util::intToChr(($this->limbs[1] >> 8) & 0xff) . ParagonIE_Sodium_Core32_Util::intToChr($this->limbs[0] & 0xff) . ParagonIE_Sodium_Core32_Util::intToChr(($this->limbs[0] >> 8) & 0xff); } /** * @return string */ public function __toString() { try { return $this->toString(); } catch (TypeError $ex) { // PHP engine can't handle exceptions from __toString() return ''; } } } SecretStream/State.php000064400000007110147207027610010743 0ustar00key = $key; $this->counter = 1; if (is_null($nonce)) { $nonce = str_repeat("\0", 12); } $this->nonce = str_pad($nonce, 12, "\0", STR_PAD_RIGHT);; $this->_pad = str_repeat("\0", 4); } /** * @return self */ public function counterReset() { $this->counter = 1; $this->_pad = str_repeat("\0", 4); return $this; } /** * @return string */ public function getKey() { return $this->key; } /** * @return string */ public function getCounter() { return ParagonIE_Sodium_Core32_Util::store32_le($this->counter); } /** * @return string */ public function getNonce() { if (!is_string($this->nonce)) { $this->nonce = str_repeat("\0", 12); } if (ParagonIE_Sodium_Core32_Util::strlen($this->nonce) !== 12) { $this->nonce = str_pad($this->nonce, 12, "\0", STR_PAD_RIGHT); } return $this->nonce; } /** * @return string */ public function getCombinedNonce() { return $this->getCounter() . ParagonIE_Sodium_Core32_Util::substr($this->getNonce(), 0, 8); } /** * @return self */ public function incrementCounter() { ++$this->counter; return $this; } /** * @return bool */ public function needsRekey() { return ($this->counter & 0xffff) === 0; } /** * @param string $newKeyAndNonce * @return self */ public function rekey($newKeyAndNonce) { $this->key = ParagonIE_Sodium_Core32_Util::substr($newKeyAndNonce, 0, 32); $this->nonce = str_pad( ParagonIE_Sodium_Core32_Util::substr($newKeyAndNonce, 32), 12, "\0", STR_PAD_RIGHT ); return $this; } /** * @param string $str * @return self */ public function xorNonce($str) { $this->nonce = ParagonIE_Sodium_Core32_Util::xorStrings( $this->getNonce(), str_pad( ParagonIE_Sodium_Core32_Util::substr($str, 0, 8), 12, "\0", STR_PAD_RIGHT ) ); return $this; } /** * @param string $string * @return self */ public static function fromString($string) { $state = new ParagonIE_Sodium_Core32_SecretStream_State( ParagonIE_Sodium_Core32_Util::substr($string, 0, 32) ); $state->counter = ParagonIE_Sodium_Core32_Util::load_4( ParagonIE_Sodium_Core32_Util::substr($string, 32, 4) ); $state->nonce = ParagonIE_Sodium_Core32_Util::substr($string, 36, 12); $state->_pad = ParagonIE_Sodium_Core32_Util::substr($string, 48, 8); return $state; } /** * @return string */ public function toString() { return $this->key . $this->getCounter() . $this->nonce . $this->_pad; } } X25519.php000064400000025442147207027610006107 0ustar00toInt(); $f1 = (int) $f[1]->toInt(); $f2 = (int) $f[2]->toInt(); $f3 = (int) $f[3]->toInt(); $f4 = (int) $f[4]->toInt(); $f5 = (int) $f[5]->toInt(); $f6 = (int) $f[6]->toInt(); $f7 = (int) $f[7]->toInt(); $f8 = (int) $f[8]->toInt(); $f9 = (int) $f[9]->toInt(); $g0 = (int) $g[0]->toInt(); $g1 = (int) $g[1]->toInt(); $g2 = (int) $g[2]->toInt(); $g3 = (int) $g[3]->toInt(); $g4 = (int) $g[4]->toInt(); $g5 = (int) $g[5]->toInt(); $g6 = (int) $g[6]->toInt(); $g7 = (int) $g[7]->toInt(); $g8 = (int) $g[8]->toInt(); $g9 = (int) $g[9]->toInt(); $b = -$b; /** @var int $x0 */ $x0 = ($f0 ^ $g0) & $b; /** @var int $x1 */ $x1 = ($f1 ^ $g1) & $b; /** @var int $x2 */ $x2 = ($f2 ^ $g2) & $b; /** @var int $x3 */ $x3 = ($f3 ^ $g3) & $b; /** @var int $x4 */ $x4 = ($f4 ^ $g4) & $b; /** @var int $x5 */ $x5 = ($f5 ^ $g5) & $b; /** @var int $x6 */ $x6 = ($f6 ^ $g6) & $b; /** @var int $x7 */ $x7 = ($f7 ^ $g7) & $b; /** @var int $x8 */ $x8 = ($f8 ^ $g8) & $b; /** @var int $x9 */ $x9 = ($f9 ^ $g9) & $b; $f[0] = ParagonIE_Sodium_Core32_Int32::fromInt($f0 ^ $x0); $f[1] = ParagonIE_Sodium_Core32_Int32::fromInt($f1 ^ $x1); $f[2] = ParagonIE_Sodium_Core32_Int32::fromInt($f2 ^ $x2); $f[3] = ParagonIE_Sodium_Core32_Int32::fromInt($f3 ^ $x3); $f[4] = ParagonIE_Sodium_Core32_Int32::fromInt($f4 ^ $x4); $f[5] = ParagonIE_Sodium_Core32_Int32::fromInt($f5 ^ $x5); $f[6] = ParagonIE_Sodium_Core32_Int32::fromInt($f6 ^ $x6); $f[7] = ParagonIE_Sodium_Core32_Int32::fromInt($f7 ^ $x7); $f[8] = ParagonIE_Sodium_Core32_Int32::fromInt($f8 ^ $x8); $f[9] = ParagonIE_Sodium_Core32_Int32::fromInt($f9 ^ $x9); $g[0] = ParagonIE_Sodium_Core32_Int32::fromInt($g0 ^ $x0); $g[1] = ParagonIE_Sodium_Core32_Int32::fromInt($g1 ^ $x1); $g[2] = ParagonIE_Sodium_Core32_Int32::fromInt($g2 ^ $x2); $g[3] = ParagonIE_Sodium_Core32_Int32::fromInt($g3 ^ $x3); $g[4] = ParagonIE_Sodium_Core32_Int32::fromInt($g4 ^ $x4); $g[5] = ParagonIE_Sodium_Core32_Int32::fromInt($g5 ^ $x5); $g[6] = ParagonIE_Sodium_Core32_Int32::fromInt($g6 ^ $x6); $g[7] = ParagonIE_Sodium_Core32_Int32::fromInt($g7 ^ $x7); $g[8] = ParagonIE_Sodium_Core32_Int32::fromInt($g8 ^ $x8); $g[9] = ParagonIE_Sodium_Core32_Int32::fromInt($g9 ^ $x9); } /** * @internal You should not use this directly from another application * * @param ParagonIE_Sodium_Core32_Curve25519_Fe $f * @return ParagonIE_Sodium_Core32_Curve25519_Fe * @throws SodiumException * @throws TypeError * @psalm-suppress MixedAssignment * @psalm-suppress MixedMethodCall */ public static function fe_mul121666(ParagonIE_Sodium_Core32_Curve25519_Fe $f) { /** @var array $h */ $h = array(); for ($i = 0; $i < 10; ++$i) { $h[$i] = $f[$i]->toInt64()->mulInt(121666, 17); } $carry9 = $h[9]->addInt(1 << 24)->shiftRight(25); $h[0] = $h[0]->addInt64($carry9->mulInt(19, 5)); $h[9] = $h[9]->subInt64($carry9->shiftLeft(25)); $carry1 = $h[1]->addInt(1 << 24)->shiftRight(25); $h[2] = $h[2]->addInt64($carry1); $h[1] = $h[1]->subInt64($carry1->shiftLeft(25)); $carry3 = $h[3]->addInt(1 << 24)->shiftRight(25); $h[4] = $h[4]->addInt64($carry3); $h[3] = $h[3]->subInt64($carry3->shiftLeft(25)); $carry5 = $h[5]->addInt(1 << 24)->shiftRight(25); $h[6] = $h[6]->addInt64($carry5); $h[5] = $h[5]->subInt64($carry5->shiftLeft(25)); $carry7 = $h[7]->addInt(1 << 24)->shiftRight(25); $h[8] = $h[8]->addInt64($carry7); $h[7] = $h[7]->subInt64($carry7->shiftLeft(25)); $carry0 = $h[0]->addInt(1 << 25)->shiftRight(26); $h[1] = $h[1]->addInt64($carry0); $h[0] = $h[0]->subInt64($carry0->shiftLeft(26)); $carry2 = $h[2]->addInt(1 << 25)->shiftRight(26); $h[3] = $h[3]->addInt64($carry2); $h[2] = $h[2]->subInt64($carry2->shiftLeft(26)); $carry4 = $h[4]->addInt(1 << 25)->shiftRight(26); $h[5] = $h[5]->addInt64($carry4); $h[4] = $h[4]->subInt64($carry4->shiftLeft(26)); $carry6 = $h[6]->addInt(1 << 25)->shiftRight(26); $h[7] = $h[7]->addInt64($carry6); $h[6] = $h[6]->subInt64($carry6->shiftLeft(26)); $carry8 = $h[8]->addInt(1 << 25)->shiftRight(26); $h[9] = $h[9]->addInt64($carry8); $h[8] = $h[8]->subInt64($carry8->shiftLeft(26)); for ($i = 0; $i < 10; ++$i) { $h[$i] = $h[$i]->toInt32(); } /** @var array $h2 */ $h2 = $h; return ParagonIE_Sodium_Core32_Curve25519_Fe::fromArray($h2); } /** * @internal You should not use this directly from another application * * Inline comments preceded by # are from libsodium's ref10 code. * * @param string $n * @param string $p * @return string * @throws SodiumException * @throws TypeError */ public static function crypto_scalarmult_curve25519_ref10($n, $p) { # for (i = 0;i < 32;++i) e[i] = n[i]; $e = '' . $n; # e[0] &= 248; $e[0] = self::intToChr( self::chrToInt($e[0]) & 248 ); # e[31] &= 127; # e[31] |= 64; $e[31] = self::intToChr( (self::chrToInt($e[31]) & 127) | 64 ); # fe_frombytes(x1,p); $x1 = self::fe_frombytes($p); # fe_1(x2); $x2 = self::fe_1(); # fe_0(z2); $z2 = self::fe_0(); # fe_copy(x3,x1); $x3 = self::fe_copy($x1); # fe_1(z3); $z3 = self::fe_1(); # swap = 0; /** @var int $swap */ $swap = 0; # for (pos = 254;pos >= 0;--pos) { for ($pos = 254; $pos >= 0; --$pos) { # b = e[pos / 8] >> (pos & 7); /** @var int $b */ $b = self::chrToInt( $e[(int) floor($pos / 8)] ) >> ($pos & 7); # b &= 1; $b &= 1; # swap ^= b; $swap ^= $b; # fe_cswap(x2,x3,swap); self::fe_cswap($x2, $x3, $swap); # fe_cswap(z2,z3,swap); self::fe_cswap($z2, $z3, $swap); # swap = b; /** @var int $swap */ $swap = $b; # fe_sub(tmp0,x3,z3); $tmp0 = self::fe_sub($x3, $z3); # fe_sub(tmp1,x2,z2); $tmp1 = self::fe_sub($x2, $z2); # fe_add(x2,x2,z2); $x2 = self::fe_add($x2, $z2); # fe_add(z2,x3,z3); $z2 = self::fe_add($x3, $z3); # fe_mul(z3,tmp0,x2); $z3 = self::fe_mul($tmp0, $x2); # fe_mul(z2,z2,tmp1); $z2 = self::fe_mul($z2, $tmp1); # fe_sq(tmp0,tmp1); $tmp0 = self::fe_sq($tmp1); # fe_sq(tmp1,x2); $tmp1 = self::fe_sq($x2); # fe_add(x3,z3,z2); $x3 = self::fe_add($z3, $z2); # fe_sub(z2,z3,z2); $z2 = self::fe_sub($z3, $z2); # fe_mul(x2,tmp1,tmp0); $x2 = self::fe_mul($tmp1, $tmp0); # fe_sub(tmp1,tmp1,tmp0); $tmp1 = self::fe_sub($tmp1, $tmp0); # fe_sq(z2,z2); $z2 = self::fe_sq($z2); # fe_mul121666(z3,tmp1); $z3 = self::fe_mul121666($tmp1); # fe_sq(x3,x3); $x3 = self::fe_sq($x3); # fe_add(tmp0,tmp0,z3); $tmp0 = self::fe_add($tmp0, $z3); # fe_mul(z3,x1,z2); $z3 = self::fe_mul($x1, $z2); # fe_mul(z2,tmp1,tmp0); $z2 = self::fe_mul($tmp1, $tmp0); } # fe_cswap(x2,x3,swap); self::fe_cswap($x2, $x3, $swap); # fe_cswap(z2,z3,swap); self::fe_cswap($z2, $z3, $swap); # fe_invert(z2,z2); $z2 = self::fe_invert($z2); # fe_mul(x2,x2,z2); $x2 = self::fe_mul($x2, $z2); # fe_tobytes(q,x2); return (string) self::fe_tobytes($x2); } /** * @internal You should not use this directly from another application * * @param ParagonIE_Sodium_Core32_Curve25519_Fe $edwardsY * @param ParagonIE_Sodium_Core32_Curve25519_Fe $edwardsZ * @return ParagonIE_Sodium_Core32_Curve25519_Fe * @throws SodiumException * @throws TypeError */ public static function edwards_to_montgomery( ParagonIE_Sodium_Core32_Curve25519_Fe $edwardsY, ParagonIE_Sodium_Core32_Curve25519_Fe $edwardsZ ) { $tempX = self::fe_add($edwardsZ, $edwardsY); $tempZ = self::fe_sub($edwardsZ, $edwardsY); $tempZ = self::fe_invert($tempZ); return self::fe_mul($tempX, $tempZ); } /** * @internal You should not use this directly from another application * * @param string $n * @return string * @throws SodiumException * @throws TypeError */ public static function crypto_scalarmult_curve25519_ref10_base($n) { # for (i = 0;i < 32;++i) e[i] = n[i]; $e = '' . $n; # e[0] &= 248; $e[0] = self::intToChr( self::chrToInt($e[0]) & 248 ); # e[31] &= 127; # e[31] |= 64; $e[31] = self::intToChr( (self::chrToInt($e[31]) & 127) | 64 ); $A = self::ge_scalarmult_base($e); if ( !($A->Y instanceof ParagonIE_Sodium_Core32_Curve25519_Fe) || !($A->Z instanceof ParagonIE_Sodium_Core32_Curve25519_Fe) ) { throw new TypeError('Null points encountered'); } $pk = self::edwards_to_montgomery($A->Y, $A->Z); return self::fe_tobytes($pk); } } XChaCha20.php000064400000004626147207027610006674 0ustar00addInt32($g[$i]); } /** @var array $arr */ return ParagonIE_Sodium_Core32_Curve25519_Fe::fromArray($arr); } /** * Constant-time conditional move. * * @internal You should not use this directly from another application * * @param ParagonIE_Sodium_Core32_Curve25519_Fe $f * @param ParagonIE_Sodium_Core32_Curve25519_Fe $g * @param int $b * @return ParagonIE_Sodium_Core32_Curve25519_Fe * @throws SodiumException * @throws TypeError * @psalm-suppress MixedAssignment * @psalm-suppress MixedMethodCall */ public static function fe_cmov( ParagonIE_Sodium_Core32_Curve25519_Fe $f, ParagonIE_Sodium_Core32_Curve25519_Fe $g, $b = 0 ) { /** @var array $h */ $h = array(); for ($i = 0; $i < 10; ++$i) { if (!($f[$i] instanceof ParagonIE_Sodium_Core32_Int32)) { throw new TypeError('Expected Int32'); } if (!($g[$i] instanceof ParagonIE_Sodium_Core32_Int32)) { throw new TypeError('Expected Int32'); } $h[$i] = $f[$i]->xorInt32( $f[$i]->xorInt32($g[$i])->mask($b) ); } /** @var array $h */ return ParagonIE_Sodium_Core32_Curve25519_Fe::fromArray($h); } /** * Create a copy of a field element. * * @internal You should not use this directly from another application * * @param ParagonIE_Sodium_Core32_Curve25519_Fe $f * @return ParagonIE_Sodium_Core32_Curve25519_Fe */ public static function fe_copy(ParagonIE_Sodium_Core32_Curve25519_Fe $f) { $h = clone $f; return $h; } /** * Give: 32-byte string. * Receive: A field element object to use for internal calculations. * * @internal You should not use this directly from another application * * @param string $s * @return ParagonIE_Sodium_Core32_Curve25519_Fe * @throws RangeException * @throws SodiumException * @throws TypeError * @psalm-suppress MixedMethodCall */ public static function fe_frombytes($s) { if (self::strlen($s) !== 32) { throw new RangeException('Expected a 32-byte string.'); } /** @var ParagonIE_Sodium_Core32_Int32 $h0 */ $h0 = ParagonIE_Sodium_Core32_Int32::fromInt( self::load_4($s) ); /** @var ParagonIE_Sodium_Core32_Int32 $h1 */ $h1 = ParagonIE_Sodium_Core32_Int32::fromInt( self::load_3(self::substr($s, 4, 3)) << 6 ); /** @var ParagonIE_Sodium_Core32_Int32 $h2 */ $h2 = ParagonIE_Sodium_Core32_Int32::fromInt( self::load_3(self::substr($s, 7, 3)) << 5 ); /** @var ParagonIE_Sodium_Core32_Int32 $h3 */ $h3 = ParagonIE_Sodium_Core32_Int32::fromInt( self::load_3(self::substr($s, 10, 3)) << 3 ); /** @var ParagonIE_Sodium_Core32_Int32 $h4 */ $h4 = ParagonIE_Sodium_Core32_Int32::fromInt( self::load_3(self::substr($s, 13, 3)) << 2 ); /** @var ParagonIE_Sodium_Core32_Int32 $h5 */ $h5 = ParagonIE_Sodium_Core32_Int32::fromInt( self::load_4(self::substr($s, 16, 4)) ); /** @var ParagonIE_Sodium_Core32_Int32 $h6 */ $h6 = ParagonIE_Sodium_Core32_Int32::fromInt( self::load_3(self::substr($s, 20, 3)) << 7 ); /** @var ParagonIE_Sodium_Core32_Int32 $h7 */ $h7 = ParagonIE_Sodium_Core32_Int32::fromInt( self::load_3(self::substr($s, 23, 3)) << 5 ); /** @var ParagonIE_Sodium_Core32_Int32 $h8 */ $h8 = ParagonIE_Sodium_Core32_Int32::fromInt( self::load_3(self::substr($s, 26, 3)) << 4 ); /** @var ParagonIE_Sodium_Core32_Int32 $h9 */ $h9 = ParagonIE_Sodium_Core32_Int32::fromInt( (self::load_3(self::substr($s, 29, 3)) & 8388607) << 2 ); $carry9 = $h9->addInt(1 << 24)->shiftRight(25); $h0 = $h0->addInt32($carry9->mulInt(19, 5)); $h9 = $h9->subInt32($carry9->shiftLeft(25)); $carry1 = $h1->addInt(1 << 24)->shiftRight(25); $h2 = $h2->addInt32($carry1); $h1 = $h1->subInt32($carry1->shiftLeft(25)); $carry3 = $h3->addInt(1 << 24)->shiftRight(25); $h4 = $h4->addInt32($carry3); $h3 = $h3->subInt32($carry3->shiftLeft(25)); $carry5 = $h5->addInt(1 << 24)->shiftRight(25); $h6 = $h6->addInt32($carry5); $h5 = $h5->subInt32($carry5->shiftLeft(25)); $carry7 = $h7->addInt(1 << 24)->shiftRight(25); $h8 = $h8->addInt32($carry7); $h7 = $h7->subInt32($carry7->shiftLeft(25)); $carry0 = $h0->addInt(1 << 25)->shiftRight(26); $h1 = $h1->addInt32($carry0); $h0 = $h0->subInt32($carry0->shiftLeft(26)); $carry2 = $h2->addInt(1 << 25)->shiftRight(26); $h3 = $h3->addInt32($carry2); $h2 = $h2->subInt32($carry2->shiftLeft(26)); $carry4 = $h4->addInt(1 << 25)->shiftRight(26); $h5 = $h5->addInt32($carry4); $h4 = $h4->subInt32($carry4->shiftLeft(26)); $carry6 = $h6->addInt(1 << 25)->shiftRight(26); $h7 = $h7->addInt32($carry6); $h6 = $h6->subInt32($carry6->shiftLeft(26)); $carry8 = $h8->addInt(1 << 25)->shiftRight(26); $h9 = $h9->addInt32($carry8); $h8 = $h8->subInt32($carry8->shiftLeft(26)); return ParagonIE_Sodium_Core32_Curve25519_Fe::fromArray( array($h0, $h1, $h2,$h3, $h4, $h5, $h6, $h7, $h8, $h9) ); } /** * Convert a field element to a byte string. * * @internal You should not use this directly from another application * * @param ParagonIE_Sodium_Core32_Curve25519_Fe $h * @return string * @throws SodiumException * @throws TypeError * @psalm-suppress MixedAssignment * @psalm-suppress MixedMethodCall */ public static function fe_tobytes(ParagonIE_Sodium_Core32_Curve25519_Fe $h) { /** * @var ParagonIE_Sodium_Core32_Int64[] $f * @var ParagonIE_Sodium_Core32_Int64 $q */ $f = array(); for ($i = 0; $i < 10; ++$i) { $f[$i] = $h[$i]->toInt64(); } $q = $f[9]->mulInt(19, 5)->addInt(1 << 14)->shiftRight(25) ->addInt64($f[0])->shiftRight(26) ->addInt64($f[1])->shiftRight(25) ->addInt64($f[2])->shiftRight(26) ->addInt64($f[3])->shiftRight(25) ->addInt64($f[4])->shiftRight(26) ->addInt64($f[5])->shiftRight(25) ->addInt64($f[6])->shiftRight(26) ->addInt64($f[7])->shiftRight(25) ->addInt64($f[8])->shiftRight(26) ->addInt64($f[9])->shiftRight(25); $f[0] = $f[0]->addInt64($q->mulInt(19, 5)); $carry0 = $f[0]->shiftRight(26); $f[1] = $f[1]->addInt64($carry0); $f[0] = $f[0]->subInt64($carry0->shiftLeft(26)); $carry1 = $f[1]->shiftRight(25); $f[2] = $f[2]->addInt64($carry1); $f[1] = $f[1]->subInt64($carry1->shiftLeft(25)); $carry2 = $f[2]->shiftRight(26); $f[3] = $f[3]->addInt64($carry2); $f[2] = $f[2]->subInt64($carry2->shiftLeft(26)); $carry3 = $f[3]->shiftRight(25); $f[4] = $f[4]->addInt64($carry3); $f[3] = $f[3]->subInt64($carry3->shiftLeft(25)); $carry4 = $f[4]->shiftRight(26); $f[5] = $f[5]->addInt64($carry4); $f[4] = $f[4]->subInt64($carry4->shiftLeft(26)); $carry5 = $f[5]->shiftRight(25); $f[6] = $f[6]->addInt64($carry5); $f[5] = $f[5]->subInt64($carry5->shiftLeft(25)); $carry6 = $f[6]->shiftRight(26); $f[7] = $f[7]->addInt64($carry6); $f[6] = $f[6]->subInt64($carry6->shiftLeft(26)); $carry7 = $f[7]->shiftRight(25); $f[8] = $f[8]->addInt64($carry7); $f[7] = $f[7]->subInt64($carry7->shiftLeft(25)); $carry8 = $f[8]->shiftRight(26); $f[9] = $f[9]->addInt64($carry8); $f[8] = $f[8]->subInt64($carry8->shiftLeft(26)); $carry9 = $f[9]->shiftRight(25); $f[9] = $f[9]->subInt64($carry9->shiftLeft(25)); $h0 = $f[0]->toInt32()->toInt(); $h1 = $f[1]->toInt32()->toInt(); $h2 = $f[2]->toInt32()->toInt(); $h3 = $f[3]->toInt32()->toInt(); $h4 = $f[4]->toInt32()->toInt(); $h5 = $f[5]->toInt32()->toInt(); $h6 = $f[6]->toInt32()->toInt(); $h7 = $f[7]->toInt32()->toInt(); $h8 = $f[8]->toInt32()->toInt(); $h9 = $f[9]->toInt32()->toInt(); /** * @var array */ $s = array( (int) (($h0 >> 0) & 0xff), (int) (($h0 >> 8) & 0xff), (int) (($h0 >> 16) & 0xff), (int) ((($h0 >> 24) | ($h1 << 2)) & 0xff), (int) (($h1 >> 6) & 0xff), (int) (($h1 >> 14) & 0xff), (int) ((($h1 >> 22) | ($h2 << 3)) & 0xff), (int) (($h2 >> 5) & 0xff), (int) (($h2 >> 13) & 0xff), (int) ((($h2 >> 21) | ($h3 << 5)) & 0xff), (int) (($h3 >> 3) & 0xff), (int) (($h3 >> 11) & 0xff), (int) ((($h3 >> 19) | ($h4 << 6)) & 0xff), (int) (($h4 >> 2) & 0xff), (int) (($h4 >> 10) & 0xff), (int) (($h4 >> 18) & 0xff), (int) (($h5 >> 0) & 0xff), (int) (($h5 >> 8) & 0xff), (int) (($h5 >> 16) & 0xff), (int) ((($h5 >> 24) | ($h6 << 1)) & 0xff), (int) (($h6 >> 7) & 0xff), (int) (($h6 >> 15) & 0xff), (int) ((($h6 >> 23) | ($h7 << 3)) & 0xff), (int) (($h7 >> 5) & 0xff), (int) (($h7 >> 13) & 0xff), (int) ((($h7 >> 21) | ($h8 << 4)) & 0xff), (int) (($h8 >> 4) & 0xff), (int) (($h8 >> 12) & 0xff), (int) ((($h8 >> 20) | ($h9 << 6)) & 0xff), (int) (($h9 >> 2) & 0xff), (int) (($h9 >> 10) & 0xff), (int) (($h9 >> 18) & 0xff) ); return self::intArrayToString($s); } /** * Is a field element negative? (1 = yes, 0 = no. Used in calculations.) * * @internal You should not use this directly from another application * * @param ParagonIE_Sodium_Core32_Curve25519_Fe $f * @return int * @throws SodiumException * @throws TypeError */ public static function fe_isnegative(ParagonIE_Sodium_Core32_Curve25519_Fe $f) { $str = self::fe_tobytes($f); return (int) (self::chrToInt($str[0]) & 1); } /** * Returns 0 if this field element results in all NUL bytes. * * @internal You should not use this directly from another application * * @param ParagonIE_Sodium_Core32_Curve25519_Fe $f * @return bool * @throws SodiumException * @throws TypeError */ public static function fe_isnonzero(ParagonIE_Sodium_Core32_Curve25519_Fe $f) { static $zero; if ($zero === null) { $zero = str_repeat("\x00", 32); } $str = self::fe_tobytes($f); /** @var string $zero */ return !self::verify_32($str, $zero); } /** * Multiply two field elements * * h = f * g * * @internal You should not use this directly from another application * * @security Is multiplication a source of timing leaks? If so, can we do * anything to prevent that from happening? * * @param ParagonIE_Sodium_Core32_Curve25519_Fe $f * @param ParagonIE_Sodium_Core32_Curve25519_Fe $g * @return ParagonIE_Sodium_Core32_Curve25519_Fe * @throws SodiumException * @throws TypeError */ public static function fe_mul( ParagonIE_Sodium_Core32_Curve25519_Fe $f, ParagonIE_Sodium_Core32_Curve25519_Fe $g ) { /** * @var ParagonIE_Sodium_Core32_Int32[] $f * @var ParagonIE_Sodium_Core32_Int32[] $g * @var ParagonIE_Sodium_Core32_Int64 $f0 * @var ParagonIE_Sodium_Core32_Int64 $f1 * @var ParagonIE_Sodium_Core32_Int64 $f2 * @var ParagonIE_Sodium_Core32_Int64 $f3 * @var ParagonIE_Sodium_Core32_Int64 $f4 * @var ParagonIE_Sodium_Core32_Int64 $f5 * @var ParagonIE_Sodium_Core32_Int64 $f6 * @var ParagonIE_Sodium_Core32_Int64 $f7 * @var ParagonIE_Sodium_Core32_Int64 $f8 * @var ParagonIE_Sodium_Core32_Int64 $f9 * @var ParagonIE_Sodium_Core32_Int64 $g0 * @var ParagonIE_Sodium_Core32_Int64 $g1 * @var ParagonIE_Sodium_Core32_Int64 $g2 * @var ParagonIE_Sodium_Core32_Int64 $g3 * @var ParagonIE_Sodium_Core32_Int64 $g4 * @var ParagonIE_Sodium_Core32_Int64 $g5 * @var ParagonIE_Sodium_Core32_Int64 $g6 * @var ParagonIE_Sodium_Core32_Int64 $g7 * @var ParagonIE_Sodium_Core32_Int64 $g8 * @var ParagonIE_Sodium_Core32_Int64 $g9 */ $f0 = $f[0]->toInt64(); $f1 = $f[1]->toInt64(); $f2 = $f[2]->toInt64(); $f3 = $f[3]->toInt64(); $f4 = $f[4]->toInt64(); $f5 = $f[5]->toInt64(); $f6 = $f[6]->toInt64(); $f7 = $f[7]->toInt64(); $f8 = $f[8]->toInt64(); $f9 = $f[9]->toInt64(); $g0 = $g[0]->toInt64(); $g1 = $g[1]->toInt64(); $g2 = $g[2]->toInt64(); $g3 = $g[3]->toInt64(); $g4 = $g[4]->toInt64(); $g5 = $g[5]->toInt64(); $g6 = $g[6]->toInt64(); $g7 = $g[7]->toInt64(); $g8 = $g[8]->toInt64(); $g9 = $g[9]->toInt64(); $g1_19 = $g1->mulInt(19, 5); /* 2^4 <= 19 <= 2^5, but we only want 5 bits */ $g2_19 = $g2->mulInt(19, 5); $g3_19 = $g3->mulInt(19, 5); $g4_19 = $g4->mulInt(19, 5); $g5_19 = $g5->mulInt(19, 5); $g6_19 = $g6->mulInt(19, 5); $g7_19 = $g7->mulInt(19, 5); $g8_19 = $g8->mulInt(19, 5); $g9_19 = $g9->mulInt(19, 5); $f1_2 = $f1->shiftLeft(1); $f3_2 = $f3->shiftLeft(1); $f5_2 = $f5->shiftLeft(1); $f7_2 = $f7->shiftLeft(1); $f9_2 = $f9->shiftLeft(1); $f0g0 = $f0->mulInt64($g0, 27); $f0g1 = $f0->mulInt64($g1, 27); $f0g2 = $f0->mulInt64($g2, 27); $f0g3 = $f0->mulInt64($g3, 27); $f0g4 = $f0->mulInt64($g4, 27); $f0g5 = $f0->mulInt64($g5, 27); $f0g6 = $f0->mulInt64($g6, 27); $f0g7 = $f0->mulInt64($g7, 27); $f0g8 = $f0->mulInt64($g8, 27); $f0g9 = $f0->mulInt64($g9, 27); $f1g0 = $f1->mulInt64($g0, 27); $f1g1_2 = $f1_2->mulInt64($g1, 27); $f1g2 = $f1->mulInt64($g2, 27); $f1g3_2 = $f1_2->mulInt64($g3, 27); $f1g4 = $f1->mulInt64($g4, 30); $f1g5_2 = $f1_2->mulInt64($g5, 30); $f1g6 = $f1->mulInt64($g6, 30); $f1g7_2 = $f1_2->mulInt64($g7, 30); $f1g8 = $f1->mulInt64($g8, 30); $f1g9_38 = $g9_19->mulInt64($f1_2, 30); $f2g0 = $f2->mulInt64($g0, 30); $f2g1 = $f2->mulInt64($g1, 29); $f2g2 = $f2->mulInt64($g2, 30); $f2g3 = $f2->mulInt64($g3, 29); $f2g4 = $f2->mulInt64($g4, 30); $f2g5 = $f2->mulInt64($g5, 29); $f2g6 = $f2->mulInt64($g6, 30); $f2g7 = $f2->mulInt64($g7, 29); $f2g8_19 = $g8_19->mulInt64($f2, 30); $f2g9_19 = $g9_19->mulInt64($f2, 30); $f3g0 = $f3->mulInt64($g0, 30); $f3g1_2 = $f3_2->mulInt64($g1, 30); $f3g2 = $f3->mulInt64($g2, 30); $f3g3_2 = $f3_2->mulInt64($g3, 30); $f3g4 = $f3->mulInt64($g4, 30); $f3g5_2 = $f3_2->mulInt64($g5, 30); $f3g6 = $f3->mulInt64($g6, 30); $f3g7_38 = $g7_19->mulInt64($f3_2, 30); $f3g8_19 = $g8_19->mulInt64($f3, 30); $f3g9_38 = $g9_19->mulInt64($f3_2, 30); $f4g0 = $f4->mulInt64($g0, 30); $f4g1 = $f4->mulInt64($g1, 30); $f4g2 = $f4->mulInt64($g2, 30); $f4g3 = $f4->mulInt64($g3, 30); $f4g4 = $f4->mulInt64($g4, 30); $f4g5 = $f4->mulInt64($g5, 30); $f4g6_19 = $g6_19->mulInt64($f4, 30); $f4g7_19 = $g7_19->mulInt64($f4, 30); $f4g8_19 = $g8_19->mulInt64($f4, 30); $f4g9_19 = $g9_19->mulInt64($f4, 30); $f5g0 = $f5->mulInt64($g0, 30); $f5g1_2 = $f5_2->mulInt64($g1, 30); $f5g2 = $f5->mulInt64($g2, 30); $f5g3_2 = $f5_2->mulInt64($g3, 30); $f5g4 = $f5->mulInt64($g4, 30); $f5g5_38 = $g5_19->mulInt64($f5_2, 30); $f5g6_19 = $g6_19->mulInt64($f5, 30); $f5g7_38 = $g7_19->mulInt64($f5_2, 30); $f5g8_19 = $g8_19->mulInt64($f5, 30); $f5g9_38 = $g9_19->mulInt64($f5_2, 30); $f6g0 = $f6->mulInt64($g0, 30); $f6g1 = $f6->mulInt64($g1, 30); $f6g2 = $f6->mulInt64($g2, 30); $f6g3 = $f6->mulInt64($g3, 30); $f6g4_19 = $g4_19->mulInt64($f6, 30); $f6g5_19 = $g5_19->mulInt64($f6, 30); $f6g6_19 = $g6_19->mulInt64($f6, 30); $f6g7_19 = $g7_19->mulInt64($f6, 30); $f6g8_19 = $g8_19->mulInt64($f6, 30); $f6g9_19 = $g9_19->mulInt64($f6, 30); $f7g0 = $f7->mulInt64($g0, 30); $f7g1_2 = $g1->mulInt64($f7_2, 30); $f7g2 = $f7->mulInt64($g2, 30); $f7g3_38 = $g3_19->mulInt64($f7_2, 30); $f7g4_19 = $g4_19->mulInt64($f7, 30); $f7g5_38 = $g5_19->mulInt64($f7_2, 30); $f7g6_19 = $g6_19->mulInt64($f7, 30); $f7g7_38 = $g7_19->mulInt64($f7_2, 30); $f7g8_19 = $g8_19->mulInt64($f7, 30); $f7g9_38 = $g9_19->mulInt64($f7_2, 30); $f8g0 = $f8->mulInt64($g0, 30); $f8g1 = $f8->mulInt64($g1, 29); $f8g2_19 = $g2_19->mulInt64($f8, 30); $f8g3_19 = $g3_19->mulInt64($f8, 30); $f8g4_19 = $g4_19->mulInt64($f8, 30); $f8g5_19 = $g5_19->mulInt64($f8, 30); $f8g6_19 = $g6_19->mulInt64($f8, 30); $f8g7_19 = $g7_19->mulInt64($f8, 30); $f8g8_19 = $g8_19->mulInt64($f8, 30); $f8g9_19 = $g9_19->mulInt64($f8, 30); $f9g0 = $f9->mulInt64($g0, 30); $f9g1_38 = $g1_19->mulInt64($f9_2, 30); $f9g2_19 = $g2_19->mulInt64($f9, 30); $f9g3_38 = $g3_19->mulInt64($f9_2, 30); $f9g4_19 = $g4_19->mulInt64($f9, 30); $f9g5_38 = $g5_19->mulInt64($f9_2, 30); $f9g6_19 = $g6_19->mulInt64($f9, 30); $f9g7_38 = $g7_19->mulInt64($f9_2, 30); $f9g8_19 = $g8_19->mulInt64($f9, 30); $f9g9_38 = $g9_19->mulInt64($f9_2, 30); // $h0 = $f0g0 + $f1g9_38 + $f2g8_19 + $f3g7_38 + $f4g6_19 + $f5g5_38 + $f6g4_19 + $f7g3_38 + $f8g2_19 + $f9g1_38; $h0 = $f0g0->addInt64($f1g9_38)->addInt64($f2g8_19)->addInt64($f3g7_38) ->addInt64($f4g6_19)->addInt64($f5g5_38)->addInt64($f6g4_19) ->addInt64($f7g3_38)->addInt64($f8g2_19)->addInt64($f9g1_38); // $h1 = $f0g1 + $f1g0 + $f2g9_19 + $f3g8_19 + $f4g7_19 + $f5g6_19 + $f6g5_19 + $f7g4_19 + $f8g3_19 + $f9g2_19; $h1 = $f0g1->addInt64($f1g0)->addInt64($f2g9_19)->addInt64($f3g8_19) ->addInt64($f4g7_19)->addInt64($f5g6_19)->addInt64($f6g5_19) ->addInt64($f7g4_19)->addInt64($f8g3_19)->addInt64($f9g2_19); // $h2 = $f0g2 + $f1g1_2 + $f2g0 + $f3g9_38 + $f4g8_19 + $f5g7_38 + $f6g6_19 + $f7g5_38 + $f8g4_19 + $f9g3_38; $h2 = $f0g2->addInt64($f1g1_2)->addInt64($f2g0)->addInt64($f3g9_38) ->addInt64($f4g8_19)->addInt64($f5g7_38)->addInt64($f6g6_19) ->addInt64($f7g5_38)->addInt64($f8g4_19)->addInt64($f9g3_38); // $h3 = $f0g3 + $f1g2 + $f2g1 + $f3g0 + $f4g9_19 + $f5g8_19 + $f6g7_19 + $f7g6_19 + $f8g5_19 + $f9g4_19; $h3 = $f0g3->addInt64($f1g2)->addInt64($f2g1)->addInt64($f3g0) ->addInt64($f4g9_19)->addInt64($f5g8_19)->addInt64($f6g7_19) ->addInt64($f7g6_19)->addInt64($f8g5_19)->addInt64($f9g4_19); // $h4 = $f0g4 + $f1g3_2 + $f2g2 + $f3g1_2 + $f4g0 + $f5g9_38 + $f6g8_19 + $f7g7_38 + $f8g6_19 + $f9g5_38; $h4 = $f0g4->addInt64($f1g3_2)->addInt64($f2g2)->addInt64($f3g1_2) ->addInt64($f4g0)->addInt64($f5g9_38)->addInt64($f6g8_19) ->addInt64($f7g7_38)->addInt64($f8g6_19)->addInt64($f9g5_38); // $h5 = $f0g5 + $f1g4 + $f2g3 + $f3g2 + $f4g1 + $f5g0 + $f6g9_19 + $f7g8_19 + $f8g7_19 + $f9g6_19; $h5 = $f0g5->addInt64($f1g4)->addInt64($f2g3)->addInt64($f3g2) ->addInt64($f4g1)->addInt64($f5g0)->addInt64($f6g9_19) ->addInt64($f7g8_19)->addInt64($f8g7_19)->addInt64($f9g6_19); // $h6 = $f0g6 + $f1g5_2 + $f2g4 + $f3g3_2 + $f4g2 + $f5g1_2 + $f6g0 + $f7g9_38 + $f8g8_19 + $f9g7_38; $h6 = $f0g6->addInt64($f1g5_2)->addInt64($f2g4)->addInt64($f3g3_2) ->addInt64($f4g2)->addInt64($f5g1_2)->addInt64($f6g0) ->addInt64($f7g9_38)->addInt64($f8g8_19)->addInt64($f9g7_38); // $h7 = $f0g7 + $f1g6 + $f2g5 + $f3g4 + $f4g3 + $f5g2 + $f6g1 + $f7g0 + $f8g9_19 + $f9g8_19; $h7 = $f0g7->addInt64($f1g6)->addInt64($f2g5)->addInt64($f3g4) ->addInt64($f4g3)->addInt64($f5g2)->addInt64($f6g1) ->addInt64($f7g0)->addInt64($f8g9_19)->addInt64($f9g8_19); // $h8 = $f0g8 + $f1g7_2 + $f2g6 + $f3g5_2 + $f4g4 + $f5g3_2 + $f6g2 + $f7g1_2 + $f8g0 + $f9g9_38; $h8 = $f0g8->addInt64($f1g7_2)->addInt64($f2g6)->addInt64($f3g5_2) ->addInt64($f4g4)->addInt64($f5g3_2)->addInt64($f6g2) ->addInt64($f7g1_2)->addInt64($f8g0)->addInt64($f9g9_38); // $h9 = $f0g9 + $f1g8 + $f2g7 + $f3g6 + $f4g5 + $f5g4 + $f6g3 + $f7g2 + $f8g1 + $f9g0 ; $h9 = $f0g9->addInt64($f1g8)->addInt64($f2g7)->addInt64($f3g6) ->addInt64($f4g5)->addInt64($f5g4)->addInt64($f6g3) ->addInt64($f7g2)->addInt64($f8g1)->addInt64($f9g0); /** * @var ParagonIE_Sodium_Core32_Int64 $h0 * @var ParagonIE_Sodium_Core32_Int64 $h1 * @var ParagonIE_Sodium_Core32_Int64 $h2 * @var ParagonIE_Sodium_Core32_Int64 $h3 * @var ParagonIE_Sodium_Core32_Int64 $h4 * @var ParagonIE_Sodium_Core32_Int64 $h5 * @var ParagonIE_Sodium_Core32_Int64 $h6 * @var ParagonIE_Sodium_Core32_Int64 $h7 * @var ParagonIE_Sodium_Core32_Int64 $h8 * @var ParagonIE_Sodium_Core32_Int64 $h9 * @var ParagonIE_Sodium_Core32_Int64 $carry0 * @var ParagonIE_Sodium_Core32_Int64 $carry1 * @var ParagonIE_Sodium_Core32_Int64 $carry2 * @var ParagonIE_Sodium_Core32_Int64 $carry3 * @var ParagonIE_Sodium_Core32_Int64 $carry4 * @var ParagonIE_Sodium_Core32_Int64 $carry5 * @var ParagonIE_Sodium_Core32_Int64 $carry6 * @var ParagonIE_Sodium_Core32_Int64 $carry7 * @var ParagonIE_Sodium_Core32_Int64 $carry8 * @var ParagonIE_Sodium_Core32_Int64 $carry9 */ $carry0 = $h0->addInt(1 << 25)->shiftRight(26); $h1 = $h1->addInt64($carry0); $h0 = $h0->subInt64($carry0->shiftLeft(26)); $carry4 = $h4->addInt(1 << 25)->shiftRight(26); $h5 = $h5->addInt64($carry4); $h4 = $h4->subInt64($carry4->shiftLeft(26)); $carry1 = $h1->addInt(1 << 24)->shiftRight(25); $h2 = $h2->addInt64($carry1); $h1 = $h1->subInt64($carry1->shiftLeft(25)); $carry5 = $h5->addInt(1 << 24)->shiftRight(25); $h6 = $h6->addInt64($carry5); $h5 = $h5->subInt64($carry5->shiftLeft(25)); $carry2 = $h2->addInt(1 << 25)->shiftRight(26); $h3 = $h3->addInt64($carry2); $h2 = $h2->subInt64($carry2->shiftLeft(26)); $carry6 = $h6->addInt(1 << 25)->shiftRight(26); $h7 = $h7->addInt64($carry6); $h6 = $h6->subInt64($carry6->shiftLeft(26)); $carry3 = $h3->addInt(1 << 24)->shiftRight(25); $h4 = $h4->addInt64($carry3); $h3 = $h3->subInt64($carry3->shiftLeft(25)); $carry7 = $h7->addInt(1 << 24)->shiftRight(25); $h8 = $h8->addInt64($carry7); $h7 = $h7->subInt64($carry7->shiftLeft(25)); $carry4 = $h4->addInt(1 << 25)->shiftRight(26); $h5 = $h5->addInt64($carry4); $h4 = $h4->subInt64($carry4->shiftLeft(26)); $carry8 = $h8->addInt(1 << 25)->shiftRight(26); $h9 = $h9->addInt64($carry8); $h8 = $h8->subInt64($carry8->shiftLeft(26)); $carry9 = $h9->addInt(1 << 24)->shiftRight(25); $h0 = $h0->addInt64($carry9->mulInt(19, 5)); $h9 = $h9->subInt64($carry9->shiftLeft(25)); $carry0 = $h0->addInt(1 << 25)->shiftRight(26); $h1 = $h1->addInt64($carry0); $h0 = $h0->subInt64($carry0->shiftLeft(26)); return ParagonIE_Sodium_Core32_Curve25519_Fe::fromArray( array( $h0->toInt32(), $h1->toInt32(), $h2->toInt32(), $h3->toInt32(), $h4->toInt32(), $h5->toInt32(), $h6->toInt32(), $h7->toInt32(), $h8->toInt32(), $h9->toInt32() ) ); } /** * Get the negative values for each piece of the field element. * * h = -f * * @internal You should not use this directly from another application * * @param ParagonIE_Sodium_Core32_Curve25519_Fe $f * @return ParagonIE_Sodium_Core32_Curve25519_Fe * @psalm-suppress MixedAssignment * @psalm-suppress MixedMethodCall */ public static function fe_neg(ParagonIE_Sodium_Core32_Curve25519_Fe $f) { $h = new ParagonIE_Sodium_Core32_Curve25519_Fe(); for ($i = 0; $i < 10; ++$i) { $h[$i] = $h[$i]->subInt32($f[$i]); } return $h; } /** * Square a field element * * h = f * f * * @internal You should not use this directly from another application * * @param ParagonIE_Sodium_Core32_Curve25519_Fe $f * @return ParagonIE_Sodium_Core32_Curve25519_Fe * @throws SodiumException * @throws TypeError * @psalm-suppress MixedMethodCall */ public static function fe_sq(ParagonIE_Sodium_Core32_Curve25519_Fe $f) { $f0 = $f[0]->toInt64(); $f1 = $f[1]->toInt64(); $f2 = $f[2]->toInt64(); $f3 = $f[3]->toInt64(); $f4 = $f[4]->toInt64(); $f5 = $f[5]->toInt64(); $f6 = $f[6]->toInt64(); $f7 = $f[7]->toInt64(); $f8 = $f[8]->toInt64(); $f9 = $f[9]->toInt64(); $f0_2 = $f0->shiftLeft(1); $f1_2 = $f1->shiftLeft(1); $f2_2 = $f2->shiftLeft(1); $f3_2 = $f3->shiftLeft(1); $f4_2 = $f4->shiftLeft(1); $f5_2 = $f5->shiftLeft(1); $f6_2 = $f6->shiftLeft(1); $f7_2 = $f7->shiftLeft(1); $f5_38 = $f5->mulInt(38, 6); $f6_19 = $f6->mulInt(19, 5); $f7_38 = $f7->mulInt(38, 6); $f8_19 = $f8->mulInt(19, 5); $f9_38 = $f9->mulInt(38, 6); $f0f0 = $f0->mulInt64($f0, 28); $f0f1_2 = $f0_2->mulInt64($f1, 28); $f0f2_2 = $f0_2->mulInt64($f2, 28); $f0f3_2 = $f0_2->mulInt64($f3, 28); $f0f4_2 = $f0_2->mulInt64($f4, 28); $f0f5_2 = $f0_2->mulInt64($f5, 28); $f0f6_2 = $f0_2->mulInt64($f6, 28); $f0f7_2 = $f0_2->mulInt64($f7, 28); $f0f8_2 = $f0_2->mulInt64($f8, 28); $f0f9_2 = $f0_2->mulInt64($f9, 28); $f1f1_2 = $f1_2->mulInt64($f1, 28); $f1f2_2 = $f1_2->mulInt64($f2, 28); $f1f3_4 = $f1_2->mulInt64($f3_2, 28); $f1f4_2 = $f1_2->mulInt64($f4, 28); $f1f5_4 = $f1_2->mulInt64($f5_2, 30); $f1f6_2 = $f1_2->mulInt64($f6, 28); $f1f7_4 = $f1_2->mulInt64($f7_2, 28); $f1f8_2 = $f1_2->mulInt64($f8, 28); $f1f9_76 = $f9_38->mulInt64($f1_2, 30); $f2f2 = $f2->mulInt64($f2, 28); $f2f3_2 = $f2_2->mulInt64($f3, 28); $f2f4_2 = $f2_2->mulInt64($f4, 28); $f2f5_2 = $f2_2->mulInt64($f5, 28); $f2f6_2 = $f2_2->mulInt64($f6, 28); $f2f7_2 = $f2_2->mulInt64($f7, 28); $f2f8_38 = $f8_19->mulInt64($f2_2, 30); $f2f9_38 = $f9_38->mulInt64($f2, 30); $f3f3_2 = $f3_2->mulInt64($f3, 28); $f3f4_2 = $f3_2->mulInt64($f4, 28); $f3f5_4 = $f3_2->mulInt64($f5_2, 30); $f3f6_2 = $f3_2->mulInt64($f6, 28); $f3f7_76 = $f7_38->mulInt64($f3_2, 30); $f3f8_38 = $f8_19->mulInt64($f3_2, 30); $f3f9_76 = $f9_38->mulInt64($f3_2, 30); $f4f4 = $f4->mulInt64($f4, 28); $f4f5_2 = $f4_2->mulInt64($f5, 28); $f4f6_38 = $f6_19->mulInt64($f4_2, 30); $f4f7_38 = $f7_38->mulInt64($f4, 30); $f4f8_38 = $f8_19->mulInt64($f4_2, 30); $f4f9_38 = $f9_38->mulInt64($f4, 30); $f5f5_38 = $f5_38->mulInt64($f5, 30); $f5f6_38 = $f6_19->mulInt64($f5_2, 30); $f5f7_76 = $f7_38->mulInt64($f5_2, 30); $f5f8_38 = $f8_19->mulInt64($f5_2, 30); $f5f9_76 = $f9_38->mulInt64($f5_2, 30); $f6f6_19 = $f6_19->mulInt64($f6, 30); $f6f7_38 = $f7_38->mulInt64($f6, 30); $f6f8_38 = $f8_19->mulInt64($f6_2, 30); $f6f9_38 = $f9_38->mulInt64($f6, 30); $f7f7_38 = $f7_38->mulInt64($f7, 28); $f7f8_38 = $f8_19->mulInt64($f7_2, 30); $f7f9_76 = $f9_38->mulInt64($f7_2, 30); $f8f8_19 = $f8_19->mulInt64($f8, 30); $f8f9_38 = $f9_38->mulInt64($f8, 30); $f9f9_38 = $f9_38->mulInt64($f9, 28); $h0 = $f0f0->addInt64($f1f9_76)->addInt64($f2f8_38)->addInt64($f3f7_76)->addInt64($f4f6_38)->addInt64($f5f5_38); $h1 = $f0f1_2->addInt64($f2f9_38)->addInt64($f3f8_38)->addInt64($f4f7_38)->addInt64($f5f6_38); $h2 = $f0f2_2->addInt64($f1f1_2)->addInt64($f3f9_76)->addInt64($f4f8_38)->addInt64($f5f7_76)->addInt64($f6f6_19); $h3 = $f0f3_2->addInt64($f1f2_2)->addInt64($f4f9_38)->addInt64($f5f8_38)->addInt64($f6f7_38); $h4 = $f0f4_2->addInt64($f1f3_4)->addInt64($f2f2)->addInt64($f5f9_76)->addInt64($f6f8_38)->addInt64($f7f7_38); $h5 = $f0f5_2->addInt64($f1f4_2)->addInt64($f2f3_2)->addInt64($f6f9_38)->addInt64($f7f8_38); $h6 = $f0f6_2->addInt64($f1f5_4)->addInt64($f2f4_2)->addInt64($f3f3_2)->addInt64($f7f9_76)->addInt64($f8f8_19); $h7 = $f0f7_2->addInt64($f1f6_2)->addInt64($f2f5_2)->addInt64($f3f4_2)->addInt64($f8f9_38); $h8 = $f0f8_2->addInt64($f1f7_4)->addInt64($f2f6_2)->addInt64($f3f5_4)->addInt64($f4f4)->addInt64($f9f9_38); $h9 = $f0f9_2->addInt64($f1f8_2)->addInt64($f2f7_2)->addInt64($f3f6_2)->addInt64($f4f5_2); /** * @var ParagonIE_Sodium_Core32_Int64 $h0 * @var ParagonIE_Sodium_Core32_Int64 $h1 * @var ParagonIE_Sodium_Core32_Int64 $h2 * @var ParagonIE_Sodium_Core32_Int64 $h3 * @var ParagonIE_Sodium_Core32_Int64 $h4 * @var ParagonIE_Sodium_Core32_Int64 $h5 * @var ParagonIE_Sodium_Core32_Int64 $h6 * @var ParagonIE_Sodium_Core32_Int64 $h7 * @var ParagonIE_Sodium_Core32_Int64 $h8 * @var ParagonIE_Sodium_Core32_Int64 $h9 */ $carry0 = $h0->addInt(1 << 25)->shiftRight(26); $h1 = $h1->addInt64($carry0); $h0 = $h0->subInt64($carry0->shiftLeft(26)); $carry4 = $h4->addInt(1 << 25)->shiftRight(26); $h5 = $h5->addInt64($carry4); $h4 = $h4->subInt64($carry4->shiftLeft(26)); $carry1 = $h1->addInt(1 << 24)->shiftRight(25); $h2 = $h2->addInt64($carry1); $h1 = $h1->subInt64($carry1->shiftLeft(25)); $carry5 = $h5->addInt(1 << 24)->shiftRight(25); $h6 = $h6->addInt64($carry5); $h5 = $h5->subInt64($carry5->shiftLeft(25)); $carry2 = $h2->addInt(1 << 25)->shiftRight(26); $h3 = $h3->addInt64($carry2); $h2 = $h2->subInt64($carry2->shiftLeft(26)); $carry6 = $h6->addInt(1 << 25)->shiftRight(26); $h7 = $h7->addInt64($carry6); $h6 = $h6->subInt64($carry6->shiftLeft(26)); $carry3 = $h3->addInt(1 << 24)->shiftRight(25); $h4 = $h4->addInt64($carry3); $h3 = $h3->subInt64($carry3->shiftLeft(25)); $carry7 = $h7->addInt(1 << 24)->shiftRight(25); $h8 = $h8->addInt64($carry7); $h7 = $h7->subInt64($carry7->shiftLeft(25)); $carry4 = $h4->addInt(1 << 25)->shiftRight(26); $h5 = $h5->addInt64($carry4); $h4 = $h4->subInt64($carry4->shiftLeft(26)); $carry8 = $h8->addInt(1 << 25)->shiftRight(26); $h9 = $h9->addInt64($carry8); $h8 = $h8->subInt64($carry8->shiftLeft(26)); $carry9 = $h9->addInt(1 << 24)->shiftRight(25); $h0 = $h0->addInt64($carry9->mulInt(19, 5)); $h9 = $h9->subInt64($carry9->shiftLeft(25)); $carry0 = $h0->addInt(1 << 25)->shiftRight(26); $h1 = $h1->addInt64($carry0); $h0 = $h0->subInt64($carry0->shiftLeft(26)); return ParagonIE_Sodium_Core32_Curve25519_Fe::fromArray( array( $h0->toInt32(), $h1->toInt32(), $h2->toInt32(), $h3->toInt32(), $h4->toInt32(), $h5->toInt32(), $h6->toInt32(), $h7->toInt32(), $h8->toInt32(), $h9->toInt32() ) ); } /** * Square and double a field element * * h = 2 * f * f * * @internal You should not use this directly from another application * * @param ParagonIE_Sodium_Core32_Curve25519_Fe $f * @return ParagonIE_Sodium_Core32_Curve25519_Fe * @throws SodiumException * @throws TypeError * @psalm-suppress MixedMethodCall */ public static function fe_sq2(ParagonIE_Sodium_Core32_Curve25519_Fe $f) { $f0 = $f[0]->toInt64(); $f1 = $f[1]->toInt64(); $f2 = $f[2]->toInt64(); $f3 = $f[3]->toInt64(); $f4 = $f[4]->toInt64(); $f5 = $f[5]->toInt64(); $f6 = $f[6]->toInt64(); $f7 = $f[7]->toInt64(); $f8 = $f[8]->toInt64(); $f9 = $f[9]->toInt64(); $f0_2 = $f0->shiftLeft(1); $f1_2 = $f1->shiftLeft(1); $f2_2 = $f2->shiftLeft(1); $f3_2 = $f3->shiftLeft(1); $f4_2 = $f4->shiftLeft(1); $f5_2 = $f5->shiftLeft(1); $f6_2 = $f6->shiftLeft(1); $f7_2 = $f7->shiftLeft(1); $f5_38 = $f5->mulInt(38, 6); /* 1.959375*2^30 */ $f6_19 = $f6->mulInt(19, 5); /* 1.959375*2^30 */ $f7_38 = $f7->mulInt(38, 6); /* 1.959375*2^30 */ $f8_19 = $f8->mulInt(19, 5); /* 1.959375*2^30 */ $f9_38 = $f9->mulInt(38, 6); /* 1.959375*2^30 */ $f0f0 = $f0->mulInt64($f0, 28); $f0f1_2 = $f0_2->mulInt64($f1, 28); $f0f2_2 = $f0_2->mulInt64($f2, 28); $f0f3_2 = $f0_2->mulInt64($f3, 28); $f0f4_2 = $f0_2->mulInt64($f4, 28); $f0f5_2 = $f0_2->mulInt64($f5, 28); $f0f6_2 = $f0_2->mulInt64($f6, 28); $f0f7_2 = $f0_2->mulInt64($f7, 28); $f0f8_2 = $f0_2->mulInt64($f8, 28); $f0f9_2 = $f0_2->mulInt64($f9, 28); $f1f1_2 = $f1_2->mulInt64($f1, 28); $f1f2_2 = $f1_2->mulInt64($f2, 28); $f1f3_4 = $f1_2->mulInt64($f3_2, 29); $f1f4_2 = $f1_2->mulInt64($f4, 28); $f1f5_4 = $f1_2->mulInt64($f5_2, 29); $f1f6_2 = $f1_2->mulInt64($f6, 28); $f1f7_4 = $f1_2->mulInt64($f7_2, 29); $f1f8_2 = $f1_2->mulInt64($f8, 28); $f1f9_76 = $f9_38->mulInt64($f1_2, 29); $f2f2 = $f2->mulInt64($f2, 28); $f2f3_2 = $f2_2->mulInt64($f3, 28); $f2f4_2 = $f2_2->mulInt64($f4, 28); $f2f5_2 = $f2_2->mulInt64($f5, 28); $f2f6_2 = $f2_2->mulInt64($f6, 28); $f2f7_2 = $f2_2->mulInt64($f7, 28); $f2f8_38 = $f8_19->mulInt64($f2_2, 29); $f2f9_38 = $f9_38->mulInt64($f2, 29); $f3f3_2 = $f3_2->mulInt64($f3, 28); $f3f4_2 = $f3_2->mulInt64($f4, 28); $f3f5_4 = $f3_2->mulInt64($f5_2, 28); $f3f6_2 = $f3_2->mulInt64($f6, 28); $f3f7_76 = $f7_38->mulInt64($f3_2, 29); $f3f8_38 = $f8_19->mulInt64($f3_2, 29); $f3f9_76 = $f9_38->mulInt64($f3_2, 29); $f4f4 = $f4->mulInt64($f4, 28); $f4f5_2 = $f4_2->mulInt64($f5, 28); $f4f6_38 = $f6_19->mulInt64($f4_2, 29); $f4f7_38 = $f7_38->mulInt64($f4, 29); $f4f8_38 = $f8_19->mulInt64($f4_2, 29); $f4f9_38 = $f9_38->mulInt64($f4, 29); $f5f5_38 = $f5_38->mulInt64($f5, 29); $f5f6_38 = $f6_19->mulInt64($f5_2, 29); $f5f7_76 = $f7_38->mulInt64($f5_2, 29); $f5f8_38 = $f8_19->mulInt64($f5_2, 29); $f5f9_76 = $f9_38->mulInt64($f5_2, 29); $f6f6_19 = $f6_19->mulInt64($f6, 29); $f6f7_38 = $f7_38->mulInt64($f6, 29); $f6f8_38 = $f8_19->mulInt64($f6_2, 29); $f6f9_38 = $f9_38->mulInt64($f6, 29); $f7f7_38 = $f7_38->mulInt64($f7, 29); $f7f8_38 = $f8_19->mulInt64($f7_2, 29); $f7f9_76 = $f9_38->mulInt64($f7_2, 29); $f8f8_19 = $f8_19->mulInt64($f8, 29); $f8f9_38 = $f9_38->mulInt64($f8, 29); $f9f9_38 = $f9_38->mulInt64($f9, 29); $h0 = $f0f0->addInt64($f1f9_76)->addInt64($f2f8_38)->addInt64($f3f7_76)->addInt64($f4f6_38)->addInt64($f5f5_38); $h1 = $f0f1_2->addInt64($f2f9_38)->addInt64($f3f8_38)->addInt64($f4f7_38)->addInt64($f5f6_38); $h2 = $f0f2_2->addInt64($f1f1_2)->addInt64($f3f9_76)->addInt64($f4f8_38)->addInt64($f5f7_76)->addInt64($f6f6_19); $h3 = $f0f3_2->addInt64($f1f2_2)->addInt64($f4f9_38)->addInt64($f5f8_38)->addInt64($f6f7_38); $h4 = $f0f4_2->addInt64($f1f3_4)->addInt64($f2f2)->addInt64($f5f9_76)->addInt64($f6f8_38)->addInt64($f7f7_38); $h5 = $f0f5_2->addInt64($f1f4_2)->addInt64($f2f3_2)->addInt64($f6f9_38)->addInt64($f7f8_38); $h6 = $f0f6_2->addInt64($f1f5_4)->addInt64($f2f4_2)->addInt64($f3f3_2)->addInt64($f7f9_76)->addInt64($f8f8_19); $h7 = $f0f7_2->addInt64($f1f6_2)->addInt64($f2f5_2)->addInt64($f3f4_2)->addInt64($f8f9_38); $h8 = $f0f8_2->addInt64($f1f7_4)->addInt64($f2f6_2)->addInt64($f3f5_4)->addInt64($f4f4)->addInt64($f9f9_38); $h9 = $f0f9_2->addInt64($f1f8_2)->addInt64($f2f7_2)->addInt64($f3f6_2)->addInt64($f4f5_2); /** * @var ParagonIE_Sodium_Core32_Int64 $h0 * @var ParagonIE_Sodium_Core32_Int64 $h1 * @var ParagonIE_Sodium_Core32_Int64 $h2 * @var ParagonIE_Sodium_Core32_Int64 $h3 * @var ParagonIE_Sodium_Core32_Int64 $h4 * @var ParagonIE_Sodium_Core32_Int64 $h5 * @var ParagonIE_Sodium_Core32_Int64 $h6 * @var ParagonIE_Sodium_Core32_Int64 $h7 * @var ParagonIE_Sodium_Core32_Int64 $h8 * @var ParagonIE_Sodium_Core32_Int64 $h9 */ $h0 = $h0->shiftLeft(1); $h1 = $h1->shiftLeft(1); $h2 = $h2->shiftLeft(1); $h3 = $h3->shiftLeft(1); $h4 = $h4->shiftLeft(1); $h5 = $h5->shiftLeft(1); $h6 = $h6->shiftLeft(1); $h7 = $h7->shiftLeft(1); $h8 = $h8->shiftLeft(1); $h9 = $h9->shiftLeft(1); $carry0 = $h0->addInt(1 << 25)->shiftRight(26); $h1 = $h1->addInt64($carry0); $h0 = $h0->subInt64($carry0->shiftLeft(26)); $carry4 = $h4->addInt(1 << 25)->shiftRight(26); $h5 = $h5->addInt64($carry4); $h4 = $h4->subInt64($carry4->shiftLeft(26)); $carry1 = $h1->addInt(1 << 24)->shiftRight(25); $h2 = $h2->addInt64($carry1); $h1 = $h1->subInt64($carry1->shiftLeft(25)); $carry5 = $h5->addInt(1 << 24)->shiftRight(25); $h6 = $h6->addInt64($carry5); $h5 = $h5->subInt64($carry5->shiftLeft(25)); $carry2 = $h2->addInt(1 << 25)->shiftRight(26); $h3 = $h3->addInt64($carry2); $h2 = $h2->subInt64($carry2->shiftLeft(26)); $carry6 = $h6->addInt(1 << 25)->shiftRight(26); $h7 = $h7->addInt64($carry6); $h6 = $h6->subInt64($carry6->shiftLeft(26)); $carry3 = $h3->addInt(1 << 24)->shiftRight(25); $h4 = $h4->addInt64($carry3); $h3 = $h3->subInt64($carry3->shiftLeft(25)); $carry7 = $h7->addInt(1 << 24)->shiftRight(25); $h8 = $h8->addInt64($carry7); $h7 = $h7->subInt64($carry7->shiftLeft(25)); $carry4 = $h4->addInt(1 << 25)->shiftRight(26); $h5 = $h5->addInt64($carry4); $h4 = $h4->subInt64($carry4->shiftLeft(26)); $carry8 = $h8->addInt(1 << 25)->shiftRight(26); $h9 = $h9->addInt64($carry8); $h8 = $h8->subInt64($carry8->shiftLeft(26)); $carry9 = $h9->addInt(1 << 24)->shiftRight(25); $h0 = $h0->addInt64($carry9->mulInt(19, 5)); $h9 = $h9->subInt64($carry9->shiftLeft(25)); $carry0 = $h0->addInt(1 << 25)->shiftRight(26); $h1 = $h1->addInt64($carry0); $h0 = $h0->subInt64($carry0->shiftLeft(26)); return ParagonIE_Sodium_Core32_Curve25519_Fe::fromArray( array( $h0->toInt32(), $h1->toInt32(), $h2->toInt32(), $h3->toInt32(), $h4->toInt32(), $h5->toInt32(), $h6->toInt32(), $h7->toInt32(), $h8->toInt32(), $h9->toInt32() ) ); } /** * @internal You should not use this directly from another application * * @param ParagonIE_Sodium_Core32_Curve25519_Fe $Z * @return ParagonIE_Sodium_Core32_Curve25519_Fe * @throws SodiumException * @throws TypeError */ public static function fe_invert(ParagonIE_Sodium_Core32_Curve25519_Fe $Z) { $z = clone $Z; $t0 = self::fe_sq($z); $t1 = self::fe_sq($t0); $t1 = self::fe_sq($t1); $t1 = self::fe_mul($z, $t1); $t0 = self::fe_mul($t0, $t1); $t2 = self::fe_sq($t0); $t1 = self::fe_mul($t1, $t2); $t2 = self::fe_sq($t1); for ($i = 1; $i < 5; ++$i) { $t2 = self::fe_sq($t2); } $t1 = self::fe_mul($t2, $t1); $t2 = self::fe_sq($t1); for ($i = 1; $i < 10; ++$i) { $t2 = self::fe_sq($t2); } $t2 = self::fe_mul($t2, $t1); $t3 = self::fe_sq($t2); for ($i = 1; $i < 20; ++$i) { $t3 = self::fe_sq($t3); } $t2 = self::fe_mul($t3, $t2); $t2 = self::fe_sq($t2); for ($i = 1; $i < 10; ++$i) { $t2 = self::fe_sq($t2); } $t1 = self::fe_mul($t2, $t1); $t2 = self::fe_sq($t1); for ($i = 1; $i < 50; ++$i) { $t2 = self::fe_sq($t2); } $t2 = self::fe_mul($t2, $t1); $t3 = self::fe_sq($t2); for ($i = 1; $i < 100; ++$i) { $t3 = self::fe_sq($t3); } $t2 = self::fe_mul($t3, $t2); $t2 = self::fe_sq($t2); for ($i = 1; $i < 50; ++$i) { $t2 = self::fe_sq($t2); } $t1 = self::fe_mul($t2, $t1); $t1 = self::fe_sq($t1); for ($i = 1; $i < 5; ++$i) { $t1 = self::fe_sq($t1); } return self::fe_mul($t1, $t0); } /** * @internal You should not use this directly from another application * * @ref https://github.com/jedisct1/libsodium/blob/68564326e1e9dc57ef03746f85734232d20ca6fb/src/libsodium/crypto_core/curve25519/ref10/curve25519_ref10.c#L1054-L1106 * * @param ParagonIE_Sodium_Core32_Curve25519_Fe $z * @return ParagonIE_Sodium_Core32_Curve25519_Fe * @throws SodiumException * @throws TypeError */ public static function fe_pow22523(ParagonIE_Sodium_Core32_Curve25519_Fe $z) { # fe_sq(t0, z); # fe_sq(t1, t0); # fe_sq(t1, t1); # fe_mul(t1, z, t1); # fe_mul(t0, t0, t1); # fe_sq(t0, t0); # fe_mul(t0, t1, t0); # fe_sq(t1, t0); $t0 = self::fe_sq($z); $t1 = self::fe_sq($t0); $t1 = self::fe_sq($t1); $t1 = self::fe_mul($z, $t1); $t0 = self::fe_mul($t0, $t1); $t0 = self::fe_sq($t0); $t0 = self::fe_mul($t1, $t0); $t1 = self::fe_sq($t0); # for (i = 1; i < 5; ++i) { # fe_sq(t1, t1); # } for ($i = 1; $i < 5; ++$i) { $t1 = self::fe_sq($t1); } # fe_mul(t0, t1, t0); # fe_sq(t1, t0); $t0 = self::fe_mul($t1, $t0); $t1 = self::fe_sq($t0); # for (i = 1; i < 10; ++i) { # fe_sq(t1, t1); # } for ($i = 1; $i < 10; ++$i) { $t1 = self::fe_sq($t1); } # fe_mul(t1, t1, t0); # fe_sq(t2, t1); $t1 = self::fe_mul($t1, $t0); $t2 = self::fe_sq($t1); # for (i = 1; i < 20; ++i) { # fe_sq(t2, t2); # } for ($i = 1; $i < 20; ++$i) { $t2 = self::fe_sq($t2); } # fe_mul(t1, t2, t1); # fe_sq(t1, t1); $t1 = self::fe_mul($t2, $t1); $t1 = self::fe_sq($t1); # for (i = 1; i < 10; ++i) { # fe_sq(t1, t1); # } for ($i = 1; $i < 10; ++$i) { $t1 = self::fe_sq($t1); } # fe_mul(t0, t1, t0); # fe_sq(t1, t0); $t0 = self::fe_mul($t1, $t0); $t1 = self::fe_sq($t0); # for (i = 1; i < 50; ++i) { # fe_sq(t1, t1); # } for ($i = 1; $i < 50; ++$i) { $t1 = self::fe_sq($t1); } # fe_mul(t1, t1, t0); # fe_sq(t2, t1); $t1 = self::fe_mul($t1, $t0); $t2 = self::fe_sq($t1); # for (i = 1; i < 100; ++i) { # fe_sq(t2, t2); # } for ($i = 1; $i < 100; ++$i) { $t2 = self::fe_sq($t2); } # fe_mul(t1, t2, t1); # fe_sq(t1, t1); $t1 = self::fe_mul($t2, $t1); $t1 = self::fe_sq($t1); # for (i = 1; i < 50; ++i) { # fe_sq(t1, t1); # } for ($i = 1; $i < 50; ++$i) { $t1 = self::fe_sq($t1); } # fe_mul(t0, t1, t0); # fe_sq(t0, t0); # fe_sq(t0, t0); # fe_mul(out, t0, z); $t0 = self::fe_mul($t1, $t0); $t0 = self::fe_sq($t0); $t0 = self::fe_sq($t0); return self::fe_mul($t0, $z); } /** * Subtract two field elements. * * h = f - g * * Preconditions: * |f| bounded by 1.1*2^25,1.1*2^24,1.1*2^25,1.1*2^24,etc. * |g| bounded by 1.1*2^25,1.1*2^24,1.1*2^25,1.1*2^24,etc. * * Postconditions: * |h| bounded by 1.1*2^26,1.1*2^25,1.1*2^26,1.1*2^25,etc. * * @internal You should not use this directly from another application * * @param ParagonIE_Sodium_Core32_Curve25519_Fe $f * @param ParagonIE_Sodium_Core32_Curve25519_Fe $g * @return ParagonIE_Sodium_Core32_Curve25519_Fe * @throws SodiumException * @throws TypeError * @psalm-suppress MixedMethodCall * @psalm-suppress MixedTypeCoercion */ public static function fe_sub(ParagonIE_Sodium_Core32_Curve25519_Fe $f, ParagonIE_Sodium_Core32_Curve25519_Fe $g) { return ParagonIE_Sodium_Core32_Curve25519_Fe::fromArray( array( $f[0]->subInt32($g[0]), $f[1]->subInt32($g[1]), $f[2]->subInt32($g[2]), $f[3]->subInt32($g[3]), $f[4]->subInt32($g[4]), $f[5]->subInt32($g[5]), $f[6]->subInt32($g[6]), $f[7]->subInt32($g[7]), $f[8]->subInt32($g[8]), $f[9]->subInt32($g[9]) ) ); } /** * Add two group elements. * * r = p + q * * @internal You should not use this directly from another application * * @param ParagonIE_Sodium_Core32_Curve25519_Ge_P3 $p * @param ParagonIE_Sodium_Core32_Curve25519_Ge_Cached $q * @return ParagonIE_Sodium_Core32_Curve25519_Ge_P1p1 * @throws SodiumException * @throws TypeError */ public static function ge_add( ParagonIE_Sodium_Core32_Curve25519_Ge_P3 $p, ParagonIE_Sodium_Core32_Curve25519_Ge_Cached $q ) { $r = new ParagonIE_Sodium_Core32_Curve25519_Ge_P1p1(); $r->X = self::fe_add($p->Y, $p->X); $r->Y = self::fe_sub($p->Y, $p->X); $r->Z = self::fe_mul($r->X, $q->YplusX); $r->Y = self::fe_mul($r->Y, $q->YminusX); $r->T = self::fe_mul($q->T2d, $p->T); $r->X = self::fe_mul($p->Z, $q->Z); $t0 = self::fe_add($r->X, $r->X); $r->X = self::fe_sub($r->Z, $r->Y); $r->Y = self::fe_add($r->Z, $r->Y); $r->Z = self::fe_add($t0, $r->T); $r->T = self::fe_sub($t0, $r->T); return $r; } /** * @internal You should not use this directly from another application * * @ref https://github.com/jedisct1/libsodium/blob/157c4a80c13b117608aeae12178b2d38825f9f8f/src/libsodium/crypto_core/curve25519/ref10/curve25519_ref10.c#L1185-L1215 * @param string $a * @return array * @throws SodiumException * @throws TypeError * @psalm-suppress MixedArrayOffset */ public static function slide($a) { if (self::strlen($a) < 256) { if (self::strlen($a) < 16) { $a = str_pad($a, 256, '0', STR_PAD_RIGHT); } } /** @var array $r */ $r = array(); for ($i = 0; $i < 256; ++$i) { $r[$i] = (int) (1 & ( self::chrToInt($a[$i >> 3]) >> ($i & 7) ) ); } for ($i = 0;$i < 256;++$i) { if ($r[$i]) { for ($b = 1;$b <= 6 && $i + $b < 256;++$b) { if ($r[$i + $b]) { if ($r[$i] + ($r[$i + $b] << $b) <= 15) { $r[$i] += $r[$i + $b] << $b; $r[$i + $b] = 0; } elseif ($r[$i] - ($r[$i + $b] << $b) >= -15) { $r[$i] -= $r[$i + $b] << $b; for ($k = $i + $b; $k < 256; ++$k) { if (!$r[$k]) { $r[$k] = 1; break; } $r[$k] = 0; } } else { break; } } } } } return $r; } /** * @internal You should not use this directly from another application * * @param string $s * @return ParagonIE_Sodium_Core32_Curve25519_Ge_P3 * @throws SodiumException * @throws TypeError */ public static function ge_frombytes_negate_vartime($s) { static $d = null; if (!$d) { $d = ParagonIE_Sodium_Core32_Curve25519_Fe::fromArray( array( ParagonIE_Sodium_Core32_Int32::fromInt(self::$d[0]), ParagonIE_Sodium_Core32_Int32::fromInt(self::$d[1]), ParagonIE_Sodium_Core32_Int32::fromInt(self::$d[2]), ParagonIE_Sodium_Core32_Int32::fromInt(self::$d[3]), ParagonIE_Sodium_Core32_Int32::fromInt(self::$d[4]), ParagonIE_Sodium_Core32_Int32::fromInt(self::$d[5]), ParagonIE_Sodium_Core32_Int32::fromInt(self::$d[6]), ParagonIE_Sodium_Core32_Int32::fromInt(self::$d[7]), ParagonIE_Sodium_Core32_Int32::fromInt(self::$d[8]), ParagonIE_Sodium_Core32_Int32::fromInt(self::$d[9]) ) ); } /** @var ParagonIE_Sodium_Core32_Curve25519_Fe $d */ # fe_frombytes(h->Y,s); # fe_1(h->Z); $h = new ParagonIE_Sodium_Core32_Curve25519_Ge_P3( self::fe_0(), self::fe_frombytes($s), self::fe_1() ); # fe_sq(u,h->Y); # fe_mul(v,u,d); # fe_sub(u,u,h->Z); /* u = y^2-1 */ # fe_add(v,v,h->Z); /* v = dy^2+1 */ $u = self::fe_sq($h->Y); /** @var ParagonIE_Sodium_Core32_Curve25519_Fe $d */ $v = self::fe_mul($u, $d); $u = self::fe_sub($u, $h->Z); /* u = y^2 - 1 */ $v = self::fe_add($v, $h->Z); /* v = dy^2 + 1 */ # fe_sq(v3,v); # fe_mul(v3,v3,v); /* v3 = v^3 */ # fe_sq(h->X,v3); # fe_mul(h->X,h->X,v); # fe_mul(h->X,h->X,u); /* x = uv^7 */ $v3 = self::fe_sq($v); $v3 = self::fe_mul($v3, $v); /* v3 = v^3 */ $h->X = self::fe_sq($v3); $h->X = self::fe_mul($h->X, $v); $h->X = self::fe_mul($h->X, $u); /* x = uv^7 */ # fe_pow22523(h->X,h->X); /* x = (uv^7)^((q-5)/8) */ # fe_mul(h->X,h->X,v3); # fe_mul(h->X,h->X,u); /* x = uv^3(uv^7)^((q-5)/8) */ $h->X = self::fe_pow22523($h->X); /* x = (uv^7)^((q-5)/8) */ $h->X = self::fe_mul($h->X, $v3); $h->X = self::fe_mul($h->X, $u); /* x = uv^3(uv^7)^((q-5)/8) */ # fe_sq(vxx,h->X); # fe_mul(vxx,vxx,v); # fe_sub(check,vxx,u); /* vx^2-u */ $vxx = self::fe_sq($h->X); $vxx = self::fe_mul($vxx, $v); $check = self::fe_sub($vxx, $u); /* vx^2 - u */ # if (fe_isnonzero(check)) { # fe_add(check,vxx,u); /* vx^2+u */ # if (fe_isnonzero(check)) { # return -1; # } # fe_mul(h->X,h->X,sqrtm1); # } if (self::fe_isnonzero($check)) { $check = self::fe_add($vxx, $u); /* vx^2 + u */ if (self::fe_isnonzero($check)) { throw new RangeException('Internal check failed.'); } $h->X = self::fe_mul( $h->X, ParagonIE_Sodium_Core32_Curve25519_Fe::fromIntArray(self::$sqrtm1) ); } # if (fe_isnegative(h->X) == (s[31] >> 7)) { # fe_neg(h->X,h->X); # } $i = self::chrToInt($s[31]); if (self::fe_isnegative($h->X) === ($i >> 7)) { $h->X = self::fe_neg($h->X); } # fe_mul(h->T,h->X,h->Y); $h->T = self::fe_mul($h->X, $h->Y); return $h; } /** * @internal You should not use this directly from another application * * @param ParagonIE_Sodium_Core32_Curve25519_Ge_P1p1 $R * @param ParagonIE_Sodium_Core32_Curve25519_Ge_P3 $p * @param ParagonIE_Sodium_Core32_Curve25519_Ge_Precomp $q * @return ParagonIE_Sodium_Core32_Curve25519_Ge_P1p1 * @throws SodiumException * @throws TypeError */ public static function ge_madd( ParagonIE_Sodium_Core32_Curve25519_Ge_P1p1 $R, ParagonIE_Sodium_Core32_Curve25519_Ge_P3 $p, ParagonIE_Sodium_Core32_Curve25519_Ge_Precomp $q ) { $r = clone $R; $r->X = self::fe_add($p->Y, $p->X); $r->Y = self::fe_sub($p->Y, $p->X); $r->Z = self::fe_mul($r->X, $q->yplusx); $r->Y = self::fe_mul($r->Y, $q->yminusx); $r->T = self::fe_mul($q->xy2d, $p->T); $t0 = self::fe_add(clone $p->Z, clone $p->Z); $r->X = self::fe_sub($r->Z, $r->Y); $r->Y = self::fe_add($r->Z, $r->Y); $r->Z = self::fe_add($t0, $r->T); $r->T = self::fe_sub($t0, $r->T); return $r; } /** * @internal You should not use this directly from another application * * @param ParagonIE_Sodium_Core32_Curve25519_Ge_P1p1 $R * @param ParagonIE_Sodium_Core32_Curve25519_Ge_P3 $p * @param ParagonIE_Sodium_Core32_Curve25519_Ge_Precomp $q * @return ParagonIE_Sodium_Core32_Curve25519_Ge_P1p1 * @throws SodiumException * @throws TypeError */ public static function ge_msub( ParagonIE_Sodium_Core32_Curve25519_Ge_P1p1 $R, ParagonIE_Sodium_Core32_Curve25519_Ge_P3 $p, ParagonIE_Sodium_Core32_Curve25519_Ge_Precomp $q ) { $r = clone $R; $r->X = self::fe_add($p->Y, $p->X); $r->Y = self::fe_sub($p->Y, $p->X); $r->Z = self::fe_mul($r->X, $q->yminusx); $r->Y = self::fe_mul($r->Y, $q->yplusx); $r->T = self::fe_mul($q->xy2d, $p->T); $t0 = self::fe_add($p->Z, $p->Z); $r->X = self::fe_sub($r->Z, $r->Y); $r->Y = self::fe_add($r->Z, $r->Y); $r->Z = self::fe_sub($t0, $r->T); $r->T = self::fe_add($t0, $r->T); return $r; } /** * @internal You should not use this directly from another application * * @param ParagonIE_Sodium_Core32_Curve25519_Ge_P1p1 $p * @return ParagonIE_Sodium_Core32_Curve25519_Ge_P2 * @throws SodiumException * @throws TypeError */ public static function ge_p1p1_to_p2(ParagonIE_Sodium_Core32_Curve25519_Ge_P1p1 $p) { $r = new ParagonIE_Sodium_Core32_Curve25519_Ge_P2(); $r->X = self::fe_mul($p->X, $p->T); $r->Y = self::fe_mul($p->Y, $p->Z); $r->Z = self::fe_mul($p->Z, $p->T); return $r; } /** * @internal You should not use this directly from another application * * @param ParagonIE_Sodium_Core32_Curve25519_Ge_P1p1 $p * @return ParagonIE_Sodium_Core32_Curve25519_Ge_P3 * @throws SodiumException * @throws TypeError */ public static function ge_p1p1_to_p3(ParagonIE_Sodium_Core32_Curve25519_Ge_P1p1 $p) { $r = new ParagonIE_Sodium_Core32_Curve25519_Ge_P3(); $r->X = self::fe_mul($p->X, $p->T); $r->Y = self::fe_mul($p->Y, $p->Z); $r->Z = self::fe_mul($p->Z, $p->T); $r->T = self::fe_mul($p->X, $p->Y); return $r; } /** * @internal You should not use this directly from another application * * @return ParagonIE_Sodium_Core32_Curve25519_Ge_P2 * @throws SodiumException * @throws TypeError */ public static function ge_p2_0() { return new ParagonIE_Sodium_Core32_Curve25519_Ge_P2( self::fe_0(), self::fe_1(), self::fe_1() ); } /** * @internal You should not use this directly from another application * * @param ParagonIE_Sodium_Core32_Curve25519_Ge_P2 $p * @return ParagonIE_Sodium_Core32_Curve25519_Ge_P1p1 * @throws SodiumException * @throws TypeError */ public static function ge_p2_dbl(ParagonIE_Sodium_Core32_Curve25519_Ge_P2 $p) { $r = new ParagonIE_Sodium_Core32_Curve25519_Ge_P1p1(); $r->X = self::fe_sq($p->X); $r->Z = self::fe_sq($p->Y); $r->T = self::fe_sq2($p->Z); $r->Y = self::fe_add($p->X, $p->Y); $t0 = self::fe_sq($r->Y); $r->Y = self::fe_add($r->Z, $r->X); $r->Z = self::fe_sub($r->Z, $r->X); $r->X = self::fe_sub($t0, $r->Y); $r->T = self::fe_sub($r->T, $r->Z); return $r; } /** * @internal You should not use this directly from another application * * @return ParagonIE_Sodium_Core32_Curve25519_Ge_P3 * @throws SodiumException * @throws TypeError */ public static function ge_p3_0() { return new ParagonIE_Sodium_Core32_Curve25519_Ge_P3( self::fe_0(), self::fe_1(), self::fe_1(), self::fe_0() ); } /** * @internal You should not use this directly from another application * * @param ParagonIE_Sodium_Core32_Curve25519_Ge_P3 $p * @return ParagonIE_Sodium_Core32_Curve25519_Ge_Cached * @throws SodiumException * @throws TypeError */ public static function ge_p3_to_cached(ParagonIE_Sodium_Core32_Curve25519_Ge_P3 $p) { static $d2 = null; if ($d2 === null) { $d2 = ParagonIE_Sodium_Core32_Curve25519_Fe::fromArray( array( ParagonIE_Sodium_Core32_Int32::fromInt(self::$d2[0]), ParagonIE_Sodium_Core32_Int32::fromInt(self::$d2[1]), ParagonIE_Sodium_Core32_Int32::fromInt(self::$d2[2]), ParagonIE_Sodium_Core32_Int32::fromInt(self::$d2[3]), ParagonIE_Sodium_Core32_Int32::fromInt(self::$d2[4]), ParagonIE_Sodium_Core32_Int32::fromInt(self::$d2[5]), ParagonIE_Sodium_Core32_Int32::fromInt(self::$d2[6]), ParagonIE_Sodium_Core32_Int32::fromInt(self::$d2[7]), ParagonIE_Sodium_Core32_Int32::fromInt(self::$d2[8]), ParagonIE_Sodium_Core32_Int32::fromInt(self::$d2[9]) ) ); } /** @var ParagonIE_Sodium_Core32_Curve25519_Fe $d2 */ $r = new ParagonIE_Sodium_Core32_Curve25519_Ge_Cached(); $r->YplusX = self::fe_add($p->Y, $p->X); $r->YminusX = self::fe_sub($p->Y, $p->X); $r->Z = self::fe_copy($p->Z); $r->T2d = self::fe_mul($p->T, $d2); return $r; } /** * @internal You should not use this directly from another application * * @param ParagonIE_Sodium_Core32_Curve25519_Ge_P3 $p * @return ParagonIE_Sodium_Core32_Curve25519_Ge_P2 */ public static function ge_p3_to_p2(ParagonIE_Sodium_Core32_Curve25519_Ge_P3 $p) { return new ParagonIE_Sodium_Core32_Curve25519_Ge_P2( $p->X, $p->Y, $p->Z ); } /** * @internal You should not use this directly from another application * * @param ParagonIE_Sodium_Core32_Curve25519_Ge_P3 $h * @return string * @throws SodiumException * @throws TypeError */ public static function ge_p3_tobytes(ParagonIE_Sodium_Core32_Curve25519_Ge_P3 $h) { $recip = self::fe_invert($h->Z); $x = self::fe_mul($h->X, $recip); $y = self::fe_mul($h->Y, $recip); $s = self::fe_tobytes($y); $s[31] = self::intToChr( self::chrToInt($s[31]) ^ (self::fe_isnegative($x) << 7) ); return $s; } /** * @internal You should not use this directly from another application * * @param ParagonIE_Sodium_Core32_Curve25519_Ge_P3 $p * @return ParagonIE_Sodium_Core32_Curve25519_Ge_P1p1 * @throws SodiumException * @throws TypeError */ public static function ge_p3_dbl(ParagonIE_Sodium_Core32_Curve25519_Ge_P3 $p) { $q = self::ge_p3_to_p2($p); return self::ge_p2_dbl($q); } /** * @return ParagonIE_Sodium_Core32_Curve25519_Ge_Precomp * @throws SodiumException * @throws TypeError */ public static function ge_precomp_0() { return new ParagonIE_Sodium_Core32_Curve25519_Ge_Precomp( self::fe_1(), self::fe_1(), self::fe_0() ); } /** * @internal You should not use this directly from another application * * @param int $b * @param int $c * @return int * @psalm-suppress MixedReturnStatement */ public static function equal($b, $c) { $b0 = $b & 0xffff; $b1 = ($b >> 16) & 0xffff; $c0 = $c & 0xffff; $c1 = ($c >> 16) & 0xffff; $d0 = (($b0 ^ $c0) - 1) >> 31; $d1 = (($b1 ^ $c1) - 1) >> 31; return ($d0 & $d1) & 1; } /** * @internal You should not use this directly from another application * * @param string|int $char * @return int (1 = yes, 0 = no) * @throws SodiumException * @throws TypeError */ public static function negative($char) { if (is_int($char)) { return $char < 0 ? 1 : 0; } /** @var string $char */ $x = self::chrToInt(self::substr($char, 0, 1)); return (int) ($x >> 31); } /** * Conditional move * * @internal You should not use this directly from another application * * @param ParagonIE_Sodium_Core32_Curve25519_Ge_Precomp $t * @param ParagonIE_Sodium_Core32_Curve25519_Ge_Precomp $u * @param int $b * @return ParagonIE_Sodium_Core32_Curve25519_Ge_Precomp * @throws SodiumException * @throws TypeError */ public static function cmov( ParagonIE_Sodium_Core32_Curve25519_Ge_Precomp $t, ParagonIE_Sodium_Core32_Curve25519_Ge_Precomp $u, $b ) { if (!is_int($b)) { throw new InvalidArgumentException('Expected an integer.'); } return new ParagonIE_Sodium_Core32_Curve25519_Ge_Precomp( self::fe_cmov($t->yplusx, $u->yplusx, $b), self::fe_cmov($t->yminusx, $u->yminusx, $b), self::fe_cmov($t->xy2d, $u->xy2d, $b) ); } /** * @internal You should not use this directly from another application * * @param int $pos * @param int $b * @return ParagonIE_Sodium_Core32_Curve25519_Ge_Precomp * @throws SodiumException * @throws TypeError * @psalm-suppress MixedArrayAccess * @psalm-suppress MixedArrayOffset * @psalm-suppress MixedArgument */ public static function ge_select($pos = 0, $b = 0) { static $base = null; if ($base === null) { $base = array(); foreach (self::$base as $i => $bas) { for ($j = 0; $j < 8; ++$j) { $base[$i][$j] = new ParagonIE_Sodium_Core32_Curve25519_Ge_Precomp( ParagonIE_Sodium_Core32_Curve25519_Fe::fromArray( array( ParagonIE_Sodium_Core32_Int32::fromInt($bas[$j][0][0]), ParagonIE_Sodium_Core32_Int32::fromInt($bas[$j][0][1]), ParagonIE_Sodium_Core32_Int32::fromInt($bas[$j][0][2]), ParagonIE_Sodium_Core32_Int32::fromInt($bas[$j][0][3]), ParagonIE_Sodium_Core32_Int32::fromInt($bas[$j][0][4]), ParagonIE_Sodium_Core32_Int32::fromInt($bas[$j][0][5]), ParagonIE_Sodium_Core32_Int32::fromInt($bas[$j][0][6]), ParagonIE_Sodium_Core32_Int32::fromInt($bas[$j][0][7]), ParagonIE_Sodium_Core32_Int32::fromInt($bas[$j][0][8]), ParagonIE_Sodium_Core32_Int32::fromInt($bas[$j][0][9]) ) ), ParagonIE_Sodium_Core32_Curve25519_Fe::fromArray( array( ParagonIE_Sodium_Core32_Int32::fromInt($bas[$j][1][0]), ParagonIE_Sodium_Core32_Int32::fromInt($bas[$j][1][1]), ParagonIE_Sodium_Core32_Int32::fromInt($bas[$j][1][2]), ParagonIE_Sodium_Core32_Int32::fromInt($bas[$j][1][3]), ParagonIE_Sodium_Core32_Int32::fromInt($bas[$j][1][4]), ParagonIE_Sodium_Core32_Int32::fromInt($bas[$j][1][5]), ParagonIE_Sodium_Core32_Int32::fromInt($bas[$j][1][6]), ParagonIE_Sodium_Core32_Int32::fromInt($bas[$j][1][7]), ParagonIE_Sodium_Core32_Int32::fromInt($bas[$j][1][8]), ParagonIE_Sodium_Core32_Int32::fromInt($bas[$j][1][9]) ) ), ParagonIE_Sodium_Core32_Curve25519_Fe::fromArray( array( ParagonIE_Sodium_Core32_Int32::fromInt($bas[$j][2][0]), ParagonIE_Sodium_Core32_Int32::fromInt($bas[$j][2][1]), ParagonIE_Sodium_Core32_Int32::fromInt($bas[$j][2][2]), ParagonIE_Sodium_Core32_Int32::fromInt($bas[$j][2][3]), ParagonIE_Sodium_Core32_Int32::fromInt($bas[$j][2][4]), ParagonIE_Sodium_Core32_Int32::fromInt($bas[$j][2][5]), ParagonIE_Sodium_Core32_Int32::fromInt($bas[$j][2][6]), ParagonIE_Sodium_Core32_Int32::fromInt($bas[$j][2][7]), ParagonIE_Sodium_Core32_Int32::fromInt($bas[$j][2][8]), ParagonIE_Sodium_Core32_Int32::fromInt($bas[$j][2][9]) ) ) ); } } } if (!is_int($pos)) { throw new InvalidArgumentException('Position must be an integer'); } if ($pos < 0 || $pos > 31) { throw new RangeException('Position is out of range [0, 31]'); } $bnegative = self::negative($b); $babs = $b - (((-$bnegative) & $b) << 1); $t = self::ge_precomp_0(); for ($i = 0; $i < 8; ++$i) { $t = self::cmov( $t, $base[$pos][$i], -self::equal($babs, $i + 1) ); } $minusT = new ParagonIE_Sodium_Core32_Curve25519_Ge_Precomp( self::fe_copy($t->yminusx), self::fe_copy($t->yplusx), self::fe_neg($t->xy2d) ); return self::cmov($t, $minusT, -$bnegative); } /** * Subtract two group elements. * * r = p - q * * @internal You should not use this directly from another application * * @param ParagonIE_Sodium_Core32_Curve25519_Ge_P3 $p * @param ParagonIE_Sodium_Core32_Curve25519_Ge_Cached $q * @return ParagonIE_Sodium_Core32_Curve25519_Ge_P1p1 * @throws SodiumException * @throws TypeError */ public static function ge_sub( ParagonIE_Sodium_Core32_Curve25519_Ge_P3 $p, ParagonIE_Sodium_Core32_Curve25519_Ge_Cached $q ) { $r = new ParagonIE_Sodium_Core32_Curve25519_Ge_P1p1(); $r->X = self::fe_add($p->Y, $p->X); $r->Y = self::fe_sub($p->Y, $p->X); $r->Z = self::fe_mul($r->X, $q->YminusX); $r->Y = self::fe_mul($r->Y, $q->YplusX); $r->T = self::fe_mul($q->T2d, $p->T); $r->X = self::fe_mul($p->Z, $q->Z); $t0 = self::fe_add($r->X, $r->X); $r->X = self::fe_sub($r->Z, $r->Y); $r->Y = self::fe_add($r->Z, $r->Y); $r->Z = self::fe_sub($t0, $r->T); $r->T = self::fe_add($t0, $r->T); return $r; } /** * Convert a group element to a byte string. * * @param ParagonIE_Sodium_Core32_Curve25519_Ge_P2 $h * @return string * @throws SodiumException * @throws TypeError */ public static function ge_tobytes(ParagonIE_Sodium_Core32_Curve25519_Ge_P2 $h) { $recip = self::fe_invert($h->Z); $x = self::fe_mul($h->X, $recip); $y = self::fe_mul($h->Y, $recip); $s = self::fe_tobytes($y); $s[31] = self::intToChr( self::chrToInt($s[31]) ^ (self::fe_isnegative($x) << 7) ); return $s; } /** * @internal You should not use this directly from another application * * @param string $a * @param ParagonIE_Sodium_Core32_Curve25519_Ge_P3 $A * @param string $b * @return ParagonIE_Sodium_Core32_Curve25519_Ge_P2 * @throws SodiumException * @throws TypeError * @psalm-suppress MixedArrayAccess */ public static function ge_double_scalarmult_vartime( $a, ParagonIE_Sodium_Core32_Curve25519_Ge_P3 $A, $b ) { /** @var array $Ai */ $Ai = array(); static $Bi = array(); /** @var array $Bi */ if (!$Bi) { for ($i = 0; $i < 8; ++$i) { $Bi[$i] = new ParagonIE_Sodium_Core32_Curve25519_Ge_Precomp( ParagonIE_Sodium_Core32_Curve25519_Fe::fromArray( array( ParagonIE_Sodium_Core32_Int32::fromInt(self::$base2[$i][0][0]), ParagonIE_Sodium_Core32_Int32::fromInt(self::$base2[$i][0][1]), ParagonIE_Sodium_Core32_Int32::fromInt(self::$base2[$i][0][2]), ParagonIE_Sodium_Core32_Int32::fromInt(self::$base2[$i][0][3]), ParagonIE_Sodium_Core32_Int32::fromInt(self::$base2[$i][0][4]), ParagonIE_Sodium_Core32_Int32::fromInt(self::$base2[$i][0][5]), ParagonIE_Sodium_Core32_Int32::fromInt(self::$base2[$i][0][6]), ParagonIE_Sodium_Core32_Int32::fromInt(self::$base2[$i][0][7]), ParagonIE_Sodium_Core32_Int32::fromInt(self::$base2[$i][0][8]), ParagonIE_Sodium_Core32_Int32::fromInt(self::$base2[$i][0][9]) ) ), ParagonIE_Sodium_Core32_Curve25519_Fe::fromArray( array( ParagonIE_Sodium_Core32_Int32::fromInt(self::$base2[$i][1][0]), ParagonIE_Sodium_Core32_Int32::fromInt(self::$base2[$i][1][1]), ParagonIE_Sodium_Core32_Int32::fromInt(self::$base2[$i][1][2]), ParagonIE_Sodium_Core32_Int32::fromInt(self::$base2[$i][1][3]), ParagonIE_Sodium_Core32_Int32::fromInt(self::$base2[$i][1][4]), ParagonIE_Sodium_Core32_Int32::fromInt(self::$base2[$i][1][5]), ParagonIE_Sodium_Core32_Int32::fromInt(self::$base2[$i][1][6]), ParagonIE_Sodium_Core32_Int32::fromInt(self::$base2[$i][1][7]), ParagonIE_Sodium_Core32_Int32::fromInt(self::$base2[$i][1][8]), ParagonIE_Sodium_Core32_Int32::fromInt(self::$base2[$i][1][9]) ) ), ParagonIE_Sodium_Core32_Curve25519_Fe::fromArray( array( ParagonIE_Sodium_Core32_Int32::fromInt(self::$base2[$i][2][0]), ParagonIE_Sodium_Core32_Int32::fromInt(self::$base2[$i][2][1]), ParagonIE_Sodium_Core32_Int32::fromInt(self::$base2[$i][2][2]), ParagonIE_Sodium_Core32_Int32::fromInt(self::$base2[$i][2][3]), ParagonIE_Sodium_Core32_Int32::fromInt(self::$base2[$i][2][4]), ParagonIE_Sodium_Core32_Int32::fromInt(self::$base2[$i][2][5]), ParagonIE_Sodium_Core32_Int32::fromInt(self::$base2[$i][2][6]), ParagonIE_Sodium_Core32_Int32::fromInt(self::$base2[$i][2][7]), ParagonIE_Sodium_Core32_Int32::fromInt(self::$base2[$i][2][8]), ParagonIE_Sodium_Core32_Int32::fromInt(self::$base2[$i][2][9]) ) ) ); } } for ($i = 0; $i < 8; ++$i) { $Ai[$i] = new ParagonIE_Sodium_Core32_Curve25519_Ge_Cached( self::fe_0(), self::fe_0(), self::fe_0(), self::fe_0() ); } /** @var array $Ai */ # slide(aslide,a); # slide(bslide,b); /** @var array $aslide */ $aslide = self::slide($a); /** @var array $bslide */ $bslide = self::slide($b); # ge_p3_to_cached(&Ai[0],A); # ge_p3_dbl(&t,A); ge_p1p1_to_p3(&A2,&t); $Ai[0] = self::ge_p3_to_cached($A); $t = self::ge_p3_dbl($A); $A2 = self::ge_p1p1_to_p3($t); # ge_add(&t,&A2,&Ai[0]); ge_p1p1_to_p3(&u,&t); ge_p3_to_cached(&Ai[1],&u); # ge_add(&t,&A2,&Ai[1]); ge_p1p1_to_p3(&u,&t); ge_p3_to_cached(&Ai[2],&u); # ge_add(&t,&A2,&Ai[2]); ge_p1p1_to_p3(&u,&t); ge_p3_to_cached(&Ai[3],&u); # ge_add(&t,&A2,&Ai[3]); ge_p1p1_to_p3(&u,&t); ge_p3_to_cached(&Ai[4],&u); # ge_add(&t,&A2,&Ai[4]); ge_p1p1_to_p3(&u,&t); ge_p3_to_cached(&Ai[5],&u); # ge_add(&t,&A2,&Ai[5]); ge_p1p1_to_p3(&u,&t); ge_p3_to_cached(&Ai[6],&u); # ge_add(&t,&A2,&Ai[6]); ge_p1p1_to_p3(&u,&t); ge_p3_to_cached(&Ai[7],&u); for ($i = 0; $i < 7; ++$i) { $t = self::ge_add($A2, $Ai[$i]); $u = self::ge_p1p1_to_p3($t); $Ai[$i + 1] = self::ge_p3_to_cached($u); } # ge_p2_0(r); $r = self::ge_p2_0(); # for (i = 255;i >= 0;--i) { # if (aslide[i] || bslide[i]) break; # } $i = 255; for (; $i >= 0; --$i) { if ($aslide[$i] || $bslide[$i]) { break; } } # for (;i >= 0;--i) { for (; $i >= 0; --$i) { # ge_p2_dbl(&t,r); $t = self::ge_p2_dbl($r); # if (aslide[i] > 0) { if ($aslide[$i] > 0) { # ge_p1p1_to_p3(&u,&t); # ge_add(&t,&u,&Ai[aslide[i]/2]); $u = self::ge_p1p1_to_p3($t); $t = self::ge_add( $u, $Ai[(int) floor($aslide[$i] / 2)] ); # } else if (aslide[i] < 0) { } elseif ($aslide[$i] < 0) { # ge_p1p1_to_p3(&u,&t); # ge_sub(&t,&u,&Ai[(-aslide[i])/2]); $u = self::ge_p1p1_to_p3($t); $t = self::ge_sub( $u, $Ai[(int) floor(-$aslide[$i] / 2)] ); } /** @var array $Bi */ # if (bslide[i] > 0) { if ($bslide[$i] > 0) { # ge_p1p1_to_p3(&u,&t); # ge_madd(&t,&u,&Bi[bslide[i]/2]); $u = self::ge_p1p1_to_p3($t); /** @var int $index */ $index = (int) floor($bslide[$i] / 2); /** @var ParagonIE_Sodium_Core32_Curve25519_Ge_Precomp $thisB */ $thisB = $Bi[$index]; $t = self::ge_madd($t, $u, $thisB); # } else if (bslide[i] < 0) { } elseif ($bslide[$i] < 0) { # ge_p1p1_to_p3(&u,&t); # ge_msub(&t,&u,&Bi[(-bslide[i])/2]); $u = self::ge_p1p1_to_p3($t); /** @var int $index */ $index = (int) floor(-$bslide[$i] / 2); /** @var ParagonIE_Sodium_Core32_Curve25519_Ge_Precomp $thisB */ $thisB = $Bi[$index]; $t = self::ge_msub($t, $u, $thisB); } # ge_p1p1_to_p2(r,&t); $r = self::ge_p1p1_to_p2($t); } return $r; } /** * @internal You should not use this directly from another application * * @param string $a * @return ParagonIE_Sodium_Core32_Curve25519_Ge_P3 * @psalm-suppress MixedAssignment * @psalm-suppress MixedOperand * @throws SodiumException * @throws TypeError */ public static function ge_scalarmult_base($a) { /** @var array $e */ $e = array(); $r = new ParagonIE_Sodium_Core32_Curve25519_Ge_P1p1(); for ($i = 0; $i < 32; ++$i) { /** @var int $dbl */ $dbl = (int) $i << 1; $e[$dbl] = (int) self::chrToInt($a[$i]) & 15; $e[$dbl + 1] = (int) (self::chrToInt($a[$i]) >> 4) & 15; } /** @var int $carry */ $carry = 0; for ($i = 0; $i < 63; ++$i) { $e[$i] += $carry; $carry = $e[$i] + 8; $carry >>= 4; $e[$i] -= $carry << 4; } /** @var array $e */ $e[63] += (int) $carry; $h = self::ge_p3_0(); for ($i = 1; $i < 64; $i += 2) { $t = self::ge_select((int) floor($i / 2), (int) $e[$i]); $r = self::ge_madd($r, $h, $t); $h = self::ge_p1p1_to_p3($r); } $r = self::ge_p3_dbl($h); $s = self::ge_p1p1_to_p2($r); $r = self::ge_p2_dbl($s); $s = self::ge_p1p1_to_p2($r); $r = self::ge_p2_dbl($s); $s = self::ge_p1p1_to_p2($r); $r = self::ge_p2_dbl($s); $h = self::ge_p1p1_to_p3($r); for ($i = 0; $i < 64; $i += 2) { $t = self::ge_select($i >> 1, (int) $e[$i]); $r = self::ge_madd($r, $h, $t); $h = self::ge_p1p1_to_p3($r); } return $h; } /** * Calculates (ab + c) mod l * where l = 2^252 + 27742317777372353535851937790883648493 * * @internal You should not use this directly from another application * * @param string $a * @param string $b * @param string $c * @return string * @throws SodiumException * @throws TypeError */ public static function sc_muladd($a, $b, $c) { $a0 = ParagonIE_Sodium_Core32_Int64::fromInt(2097151 & self::load_3(self::substr($a, 0, 3))); $a1 = ParagonIE_Sodium_Core32_Int64::fromInt(2097151 & (self::load_4(self::substr($a, 2, 4)) >> 5)); $a2 = ParagonIE_Sodium_Core32_Int64::fromInt(2097151 & (self::load_3(self::substr($a, 5, 3)) >> 2)); $a3 = ParagonIE_Sodium_Core32_Int64::fromInt(2097151 & (self::load_4(self::substr($a, 7, 4)) >> 7)); $a4 = ParagonIE_Sodium_Core32_Int64::fromInt(2097151 & (self::load_4(self::substr($a, 10, 4)) >> 4)); $a5 = ParagonIE_Sodium_Core32_Int64::fromInt(2097151 & (self::load_3(self::substr($a, 13, 3)) >> 1)); $a6 = ParagonIE_Sodium_Core32_Int64::fromInt(2097151 & (self::load_4(self::substr($a, 15, 4)) >> 6)); $a7 = ParagonIE_Sodium_Core32_Int64::fromInt(2097151 & (self::load_3(self::substr($a, 18, 3)) >> 3)); $a8 = ParagonIE_Sodium_Core32_Int64::fromInt(2097151 & self::load_3(self::substr($a, 21, 3))); $a9 = ParagonIE_Sodium_Core32_Int64::fromInt(2097151 & (self::load_4(self::substr($a, 23, 4)) >> 5)); $a10 = ParagonIE_Sodium_Core32_Int64::fromInt(2097151 & (self::load_3(self::substr($a, 26, 3)) >> 2)); $a11 = ParagonIE_Sodium_Core32_Int64::fromInt(0x1fffffff & (self::load_4(self::substr($a, 28, 4)) >> 7)); $b0 = ParagonIE_Sodium_Core32_Int64::fromInt(2097151 & self::load_3(self::substr($b, 0, 3))); $b1 = ParagonIE_Sodium_Core32_Int64::fromInt(2097151 & (self::load_4(self::substr($b, 2, 4)) >> 5)); $b2 = ParagonIE_Sodium_Core32_Int64::fromInt(2097151 & (self::load_3(self::substr($b, 5, 3)) >> 2)); $b3 = ParagonIE_Sodium_Core32_Int64::fromInt(2097151 & (self::load_4(self::substr($b, 7, 4)) >> 7)); $b4 = ParagonIE_Sodium_Core32_Int64::fromInt(2097151 & (self::load_4(self::substr($b, 10, 4)) >> 4)); $b5 = ParagonIE_Sodium_Core32_Int64::fromInt(2097151 & (self::load_3(self::substr($b, 13, 3)) >> 1)); $b6 = ParagonIE_Sodium_Core32_Int64::fromInt(2097151 & (self::load_4(self::substr($b, 15, 4)) >> 6)); $b7 = ParagonIE_Sodium_Core32_Int64::fromInt(2097151 & (self::load_3(self::substr($b, 18, 3)) >> 3)); $b8 = ParagonIE_Sodium_Core32_Int64::fromInt(2097151 & self::load_3(self::substr($b, 21, 3))); $b9 = ParagonIE_Sodium_Core32_Int64::fromInt(2097151 & (self::load_4(self::substr($b, 23, 4)) >> 5)); $b10 = ParagonIE_Sodium_Core32_Int64::fromInt(2097151 & (self::load_3(self::substr($b, 26, 3)) >> 2)); $b11 = ParagonIE_Sodium_Core32_Int64::fromInt(0x1fffffff & (self::load_4(self::substr($b, 28, 4)) >> 7)); $c0 = ParagonIE_Sodium_Core32_Int64::fromInt(2097151 & self::load_3(self::substr($c, 0, 3))); $c1 = ParagonIE_Sodium_Core32_Int64::fromInt(2097151 & (self::load_4(self::substr($c, 2, 4)) >> 5)); $c2 = ParagonIE_Sodium_Core32_Int64::fromInt(2097151 & (self::load_3(self::substr($c, 5, 3)) >> 2)); $c3 = ParagonIE_Sodium_Core32_Int64::fromInt(2097151 & (self::load_4(self::substr($c, 7, 4)) >> 7)); $c4 = ParagonIE_Sodium_Core32_Int64::fromInt(2097151 & (self::load_4(self::substr($c, 10, 4)) >> 4)); $c5 = ParagonIE_Sodium_Core32_Int64::fromInt(2097151 & (self::load_3(self::substr($c, 13, 3)) >> 1)); $c6 = ParagonIE_Sodium_Core32_Int64::fromInt(2097151 & (self::load_4(self::substr($c, 15, 4)) >> 6)); $c7 = ParagonIE_Sodium_Core32_Int64::fromInt(2097151 & (self::load_3(self::substr($c, 18, 3)) >> 3)); $c8 = ParagonIE_Sodium_Core32_Int64::fromInt(2097151 & self::load_3(self::substr($c, 21, 3))); $c9 = ParagonIE_Sodium_Core32_Int64::fromInt(2097151 & (self::load_4(self::substr($c, 23, 4)) >> 5)); $c10 = ParagonIE_Sodium_Core32_Int64::fromInt(2097151 & (self::load_3(self::substr($c, 26, 3)) >> 2)); $c11 = ParagonIE_Sodium_Core32_Int64::fromInt(0x1fffffff & (self::load_4(self::substr($c, 28, 4)) >> 7)); /* Can't really avoid the pyramid here: */ /** * @var ParagonIE_Sodium_Core32_Int64 $s0 * @var ParagonIE_Sodium_Core32_Int64 $s1 * @var ParagonIE_Sodium_Core32_Int64 $s2 * @var ParagonIE_Sodium_Core32_Int64 $s3 * @var ParagonIE_Sodium_Core32_Int64 $s4 * @var ParagonIE_Sodium_Core32_Int64 $s5 * @var ParagonIE_Sodium_Core32_Int64 $s6 * @var ParagonIE_Sodium_Core32_Int64 $s7 * @var ParagonIE_Sodium_Core32_Int64 $s8 * @var ParagonIE_Sodium_Core32_Int64 $s9 * @var ParagonIE_Sodium_Core32_Int64 $s10 * @var ParagonIE_Sodium_Core32_Int64 $s11 * @var ParagonIE_Sodium_Core32_Int64 $s12 * @var ParagonIE_Sodium_Core32_Int64 $s13 * @var ParagonIE_Sodium_Core32_Int64 $s14 * @var ParagonIE_Sodium_Core32_Int64 $s15 * @var ParagonIE_Sodium_Core32_Int64 $s16 * @var ParagonIE_Sodium_Core32_Int64 $s17 * @var ParagonIE_Sodium_Core32_Int64 $s18 * @var ParagonIE_Sodium_Core32_Int64 $s19 * @var ParagonIE_Sodium_Core32_Int64 $s20 * @var ParagonIE_Sodium_Core32_Int64 $s21 * @var ParagonIE_Sodium_Core32_Int64 $s22 * @var ParagonIE_Sodium_Core32_Int64 $s23 */ $s0 = $c0->addInt64($a0->mulInt64($b0, 24)); $s1 = $c1->addInt64($a0->mulInt64($b1, 24))->addInt64($a1->mulInt64($b0, 24)); $s2 = $c2->addInt64($a0->mulInt64($b2, 24))->addInt64($a1->mulInt64($b1, 24))->addInt64($a2->mulInt64($b0, 24)); $s3 = $c3->addInt64($a0->mulInt64($b3, 24))->addInt64($a1->mulInt64($b2, 24))->addInt64($a2->mulInt64($b1, 24)) ->addInt64($a3->mulInt64($b0, 24)); $s4 = $c4->addInt64($a0->mulInt64($b4, 24))->addInt64($a1->mulInt64($b3, 24))->addInt64($a2->mulInt64($b2, 24)) ->addInt64($a3->mulInt64($b1, 24))->addInt64($a4->mulInt64($b0, 24)); $s5 = $c5->addInt64($a0->mulInt64($b5, 24))->addInt64($a1->mulInt64($b4, 24))->addInt64($a2->mulInt64($b3, 24)) ->addInt64($a3->mulInt64($b2, 24))->addInt64($a4->mulInt64($b1, 24))->addInt64($a5->mulInt64($b0, 24)); $s6 = $c6->addInt64($a0->mulInt64($b6, 24))->addInt64($a1->mulInt64($b5, 24))->addInt64($a2->mulInt64($b4, 24)) ->addInt64($a3->mulInt64($b3, 24))->addInt64($a4->mulInt64($b2, 24))->addInt64($a5->mulInt64($b1, 24)) ->addInt64($a6->mulInt64($b0, 24)); $s7 = $c7->addInt64($a0->mulInt64($b7, 24))->addInt64($a1->mulInt64($b6, 24))->addInt64($a2->mulInt64($b5, 24)) ->addInt64($a3->mulInt64($b4, 24))->addInt64($a4->mulInt64($b3, 24))->addInt64($a5->mulInt64($b2, 24)) ->addInt64($a6->mulInt64($b1, 24))->addInt64($a7->mulInt64($b0, 24)); $s8 = $c8->addInt64($a0->mulInt64($b8, 24))->addInt64($a1->mulInt64($b7, 24))->addInt64($a2->mulInt64($b6, 24)) ->addInt64($a3->mulInt64($b5, 24))->addInt64($a4->mulInt64($b4, 24))->addInt64($a5->mulInt64($b3, 24)) ->addInt64($a6->mulInt64($b2, 24))->addInt64($a7->mulInt64($b1, 24))->addInt64($a8->mulInt64($b0, 24)); $s9 = $c9->addInt64($a0->mulInt64($b9, 24))->addInt64($a1->mulInt64($b8, 24))->addInt64($a2->mulInt64($b7, 24)) ->addInt64($a3->mulInt64($b6, 24))->addInt64($a4->mulInt64($b5, 24))->addInt64($a5->mulInt64($b4, 24)) ->addInt64($a6->mulInt64($b3, 24))->addInt64($a7->mulInt64($b2, 24))->addInt64($a8->mulInt64($b1, 24)) ->addInt64($a9->mulInt64($b0, 24)); $s10 = $c10->addInt64($a0->mulInt64($b10, 24))->addInt64($a1->mulInt64($b9, 24))->addInt64($a2->mulInt64($b8, 24)) ->addInt64($a3->mulInt64($b7, 24))->addInt64($a4->mulInt64($b6, 24))->addInt64($a5->mulInt64($b5, 24)) ->addInt64($a6->mulInt64($b4, 24))->addInt64($a7->mulInt64($b3, 24))->addInt64($a8->mulInt64($b2, 24)) ->addInt64($a9->mulInt64($b1, 24))->addInt64($a10->mulInt64($b0, 24)); $s11 = $c11->addInt64($a0->mulInt64($b11, 24))->addInt64($a1->mulInt64($b10, 24))->addInt64($a2->mulInt64($b9, 24)) ->addInt64($a3->mulInt64($b8, 24))->addInt64($a4->mulInt64($b7, 24))->addInt64($a5->mulInt64($b6, 24)) ->addInt64($a6->mulInt64($b5, 24))->addInt64($a7->mulInt64($b4, 24))->addInt64($a8->mulInt64($b3, 24)) ->addInt64($a9->mulInt64($b2, 24))->addInt64($a10->mulInt64($b1, 24))->addInt64($a11->mulInt64($b0, 24)); $s12 = $a1->mulInt64($b11, 24)->addInt64($a2->mulInt64($b10, 24))->addInt64($a3->mulInt64($b9, 24)) ->addInt64($a4->mulInt64($b8, 24))->addInt64($a5->mulInt64($b7, 24))->addInt64($a6->mulInt64($b6, 24)) ->addInt64($a7->mulInt64($b5, 24))->addInt64($a8->mulInt64($b4, 24))->addInt64($a9->mulInt64($b3, 24)) ->addInt64($a10->mulInt64($b2, 24))->addInt64($a11->mulInt64($b1, 24)); $s13 = $a2->mulInt64($b11, 24)->addInt64($a3->mulInt64($b10, 24))->addInt64($a4->mulInt64($b9, 24)) ->addInt64($a5->mulInt64($b8, 24))->addInt64($a6->mulInt64($b7, 24))->addInt64($a7->mulInt64($b6, 24)) ->addInt64($a8->mulInt64($b5, 24))->addInt64($a9->mulInt64($b4, 24))->addInt64($a10->mulInt64($b3, 24)) ->addInt64($a11->mulInt64($b2, 24)); $s14 = $a3->mulInt64($b11, 24)->addInt64($a4->mulInt64($b10, 24))->addInt64($a5->mulInt64($b9, 24)) ->addInt64($a6->mulInt64($b8, 24))->addInt64($a7->mulInt64($b7, 24))->addInt64($a8->mulInt64($b6, 24)) ->addInt64($a9->mulInt64($b5, 24))->addInt64($a10->mulInt64($b4, 24))->addInt64($a11->mulInt64($b3, 24)); $s15 = $a4->mulInt64($b11, 24)->addInt64($a5->mulInt64($b10, 24))->addInt64($a6->mulInt64($b9, 24)) ->addInt64($a7->mulInt64($b8, 24))->addInt64($a8->mulInt64($b7, 24))->addInt64($a9->mulInt64($b6, 24)) ->addInt64($a10->mulInt64($b5, 24))->addInt64($a11->mulInt64($b4, 24)); $s16 = $a5->mulInt64($b11, 24)->addInt64($a6->mulInt64($b10, 24))->addInt64($a7->mulInt64($b9, 24)) ->addInt64($a8->mulInt64($b8, 24))->addInt64($a9->mulInt64($b7, 24))->addInt64($a10->mulInt64($b6, 24)) ->addInt64($a11->mulInt64($b5, 24)); $s17 = $a6->mulInt64($b11, 24)->addInt64($a7->mulInt64($b10, 24))->addInt64($a8->mulInt64($b9, 24)) ->addInt64($a9->mulInt64($b8, 24))->addInt64($a10->mulInt64($b7, 24))->addInt64($a11->mulInt64($b6, 24)); $s18 = $a7->mulInt64($b11, 24)->addInt64($a8->mulInt64($b10, 24))->addInt64($a9->mulInt64($b9, 24)) ->addInt64($a10->mulInt64($b8, 24))->addInt64($a11->mulInt64($b7, 24)); $s19 = $a8->mulInt64($b11, 24)->addInt64($a9->mulInt64($b10, 24))->addInt64($a10->mulInt64($b9, 24)) ->addInt64($a11->mulInt64($b8, 24)); $s20 = $a9->mulInt64($b11, 24)->addInt64($a10->mulInt64($b10, 24))->addInt64($a11->mulInt64($b9, 24)); $s21 = $a10->mulInt64($b11, 24)->addInt64($a11->mulInt64($b10, 24)); $s22 = $a11->mulInt64($b11, 24); $s23 = new ParagonIE_Sodium_Core32_Int64(); $carry0 = $s0->addInt(1 << 20)->shiftRight(21); $s1 = $s1->addInt64($carry0); $s0 = $s0->subInt64($carry0->shiftLeft(21)); $carry2 = $s2->addInt(1 << 20)->shiftRight(21); $s3 = $s3->addInt64($carry2); $s2 = $s2->subInt64($carry2->shiftLeft(21)); $carry4 = $s4->addInt(1 << 20)->shiftRight(21); $s5 = $s5->addInt64($carry4); $s4 = $s4->subInt64($carry4->shiftLeft(21)); $carry6 = $s6->addInt(1 << 20)->shiftRight(21); $s7 = $s7->addInt64($carry6); $s6 = $s6->subInt64($carry6->shiftLeft(21)); $carry8 = $s8->addInt(1 << 20)->shiftRight(21); $s9 = $s9->addInt64($carry8); $s8 = $s8->subInt64($carry8->shiftLeft(21)); $carry10 = $s10->addInt(1 << 20)->shiftRight(21); $s11 = $s11->addInt64($carry10); $s10 = $s10->subInt64($carry10->shiftLeft(21)); $carry12 = $s12->addInt(1 << 20)->shiftRight(21); $s13 = $s13->addInt64($carry12); $s12 = $s12->subInt64($carry12->shiftLeft(21)); $carry14 = $s14->addInt(1 << 20)->shiftRight(21); $s15 = $s15->addInt64($carry14); $s14 = $s14->subInt64($carry14->shiftLeft(21)); $carry16 = $s16->addInt(1 << 20)->shiftRight(21); $s17 = $s17->addInt64($carry16); $s16 = $s16->subInt64($carry16->shiftLeft(21)); $carry18 = $s18->addInt(1 << 20)->shiftRight(21); $s19 = $s19->addInt64($carry18); $s18 = $s18->subInt64($carry18->shiftLeft(21)); $carry20 = $s20->addInt(1 << 20)->shiftRight(21); $s21 = $s21->addInt64($carry20); $s20 = $s20->subInt64($carry20->shiftLeft(21)); $carry22 = $s22->addInt(1 << 20)->shiftRight(21); $s23 = $s23->addInt64($carry22); $s22 = $s22->subInt64($carry22->shiftLeft(21)); $carry1 = $s1->addInt(1 << 20)->shiftRight(21); $s2 = $s2->addInt64($carry1); $s1 = $s1->subInt64($carry1->shiftLeft(21)); $carry3 = $s3->addInt(1 << 20)->shiftRight(21); $s4 = $s4->addInt64($carry3); $s3 = $s3->subInt64($carry3->shiftLeft(21)); $carry5 = $s5->addInt(1 << 20)->shiftRight(21); $s6 = $s6->addInt64($carry5); $s5 = $s5->subInt64($carry5->shiftLeft(21)); $carry7 = $s7->addInt(1 << 20)->shiftRight(21); $s8 = $s8->addInt64($carry7); $s7 = $s7->subInt64($carry7->shiftLeft(21)); $carry9 = $s9->addInt(1 << 20)->shiftRight(21); $s10 = $s10->addInt64($carry9); $s9 = $s9->subInt64($carry9->shiftLeft(21)); $carry11 = $s11->addInt(1 << 20)->shiftRight(21); $s12 = $s12->addInt64($carry11); $s11 = $s11->subInt64($carry11->shiftLeft(21)); $carry13 = $s13->addInt(1 << 20)->shiftRight(21); $s14 = $s14->addInt64($carry13); $s13 = $s13->subInt64($carry13->shiftLeft(21)); $carry15 = $s15->addInt(1 << 20)->shiftRight(21); $s16 = $s16->addInt64($carry15); $s15 = $s15->subInt64($carry15->shiftLeft(21)); $carry17 = $s17->addInt(1 << 20)->shiftRight(21); $s18 = $s18->addInt64($carry17); $s17 = $s17->subInt64($carry17->shiftLeft(21)); $carry19 = $s19->addInt(1 << 20)->shiftRight(21); $s20 = $s20->addInt64($carry19); $s19 = $s19->subInt64($carry19->shiftLeft(21)); $carry21 = $s21->addInt(1 << 20)->shiftRight(21); $s22 = $s22->addInt64($carry21); $s21 = $s21->subInt64($carry21->shiftLeft(21)); $s11 = $s11->addInt64($s23->mulInt(666643, 20)); $s12 = $s12->addInt64($s23->mulInt(470296, 19)); $s13 = $s13->addInt64($s23->mulInt(654183, 20)); $s14 = $s14->subInt64($s23->mulInt(997805, 20)); $s15 = $s15->addInt64($s23->mulInt(136657, 18)); $s16 = $s16->subInt64($s23->mulInt(683901, 20)); $s10 = $s10->addInt64($s22->mulInt(666643, 20)); $s11 = $s11->addInt64($s22->mulInt(470296, 19)); $s12 = $s12->addInt64($s22->mulInt(654183, 20)); $s13 = $s13->subInt64($s22->mulInt(997805, 20)); $s14 = $s14->addInt64($s22->mulInt(136657, 18)); $s15 = $s15->subInt64($s22->mulInt(683901, 20)); $s9 = $s9->addInt64($s21->mulInt(666643, 20)); $s10 = $s10->addInt64($s21->mulInt(470296, 19)); $s11 = $s11->addInt64($s21->mulInt(654183, 20)); $s12 = $s12->subInt64($s21->mulInt(997805, 20)); $s13 = $s13->addInt64($s21->mulInt(136657, 18)); $s14 = $s14->subInt64($s21->mulInt(683901, 20)); $s8 = $s8->addInt64($s20->mulInt(666643, 20)); $s9 = $s9->addInt64($s20->mulInt(470296, 19)); $s10 = $s10->addInt64($s20->mulInt(654183, 20)); $s11 = $s11->subInt64($s20->mulInt(997805, 20)); $s12 = $s12->addInt64($s20->mulInt(136657, 18)); $s13 = $s13->subInt64($s20->mulInt(683901, 20)); $s7 = $s7->addInt64($s19->mulInt(666643, 20)); $s8 = $s8->addInt64($s19->mulInt(470296, 19)); $s9 = $s9->addInt64($s19->mulInt(654183, 20)); $s10 = $s10->subInt64($s19->mulInt(997805, 20)); $s11 = $s11->addInt64($s19->mulInt(136657, 18)); $s12 = $s12->subInt64($s19->mulInt(683901, 20)); $s6 = $s6->addInt64($s18->mulInt(666643, 20)); $s7 = $s7->addInt64($s18->mulInt(470296, 19)); $s8 = $s8->addInt64($s18->mulInt(654183, 20)); $s9 = $s9->subInt64($s18->mulInt(997805, 20)); $s10 = $s10->addInt64($s18->mulInt(136657, 18)); $s11 = $s11->subInt64($s18->mulInt(683901, 20)); $carry6 = $s6->addInt(1 << 20)->shiftRight(21); $s7 = $s7->addInt64($carry6); $s6 = $s6->subInt64($carry6->shiftLeft(21)); $carry8 = $s8->addInt(1 << 20)->shiftRight(21); $s9 = $s9->addInt64($carry8); $s8 = $s8->subInt64($carry8->shiftLeft(21)); $carry10 = $s10->addInt(1 << 20)->shiftRight(21); $s11 = $s11->addInt64($carry10); $s10 = $s10->subInt64($carry10->shiftLeft(21)); $carry12 = $s12->addInt(1 << 20)->shiftRight(21); $s13 = $s13->addInt64($carry12); $s12 = $s12->subInt64($carry12->shiftLeft(21)); $carry14 = $s14->addInt(1 << 20)->shiftRight(21); $s15 = $s15->addInt64($carry14); $s14 = $s14->subInt64($carry14->shiftLeft(21)); $carry16 = $s16->addInt(1 << 20)->shiftRight(21); $s17 = $s17->addInt64($carry16); $s16 = $s16->subInt64($carry16->shiftLeft(21)); $carry7 = $s7->addInt(1 << 20)->shiftRight(21); $s8 = $s8->addInt64($carry7); $s7 = $s7->subInt64($carry7->shiftLeft(21)); $carry9 = $s9->addInt(1 << 20)->shiftRight(21); $s10 = $s10->addInt64($carry9); $s9 = $s9->subInt64($carry9->shiftLeft(21)); $carry11 = $s11->addInt(1 << 20)->shiftRight(21); $s12 = $s12->addInt64($carry11); $s11 = $s11->subInt64($carry11->shiftLeft(21)); $carry13 = $s13->addInt(1 << 20)->shiftRight(21); $s14 = $s14->addInt64($carry13); $s13 = $s13->subInt64($carry13->shiftLeft(21)); $carry15 = $s15->addInt(1 << 20)->shiftRight(21); $s16 = $s16->addInt64($carry15); $s15 = $s15->subInt64($carry15->shiftLeft(21)); $s5 = $s5->addInt64($s17->mulInt(666643, 20)); $s6 = $s6->addInt64($s17->mulInt(470296, 19)); $s7 = $s7->addInt64($s17->mulInt(654183, 20)); $s8 = $s8->subInt64($s17->mulInt(997805, 20)); $s9 = $s9->addInt64($s17->mulInt(136657, 18)); $s10 = $s10->subInt64($s17->mulInt(683901, 20)); $s4 = $s4->addInt64($s16->mulInt(666643, 20)); $s5 = $s5->addInt64($s16->mulInt(470296, 19)); $s6 = $s6->addInt64($s16->mulInt(654183, 20)); $s7 = $s7->subInt64($s16->mulInt(997805, 20)); $s8 = $s8->addInt64($s16->mulInt(136657, 18)); $s9 = $s9->subInt64($s16->mulInt(683901, 20)); $s3 = $s3->addInt64($s15->mulInt(666643, 20)); $s4 = $s4->addInt64($s15->mulInt(470296, 19)); $s5 = $s5->addInt64($s15->mulInt(654183, 20)); $s6 = $s6->subInt64($s15->mulInt(997805, 20)); $s7 = $s7->addInt64($s15->mulInt(136657, 18)); $s8 = $s8->subInt64($s15->mulInt(683901, 20)); $s2 = $s2->addInt64($s14->mulInt(666643, 20)); $s3 = $s3->addInt64($s14->mulInt(470296, 19)); $s4 = $s4->addInt64($s14->mulInt(654183, 20)); $s5 = $s5->subInt64($s14->mulInt(997805, 20)); $s6 = $s6->addInt64($s14->mulInt(136657, 18)); $s7 = $s7->subInt64($s14->mulInt(683901, 20)); $s1 = $s1->addInt64($s13->mulInt(666643, 20)); $s2 = $s2->addInt64($s13->mulInt(470296, 19)); $s3 = $s3->addInt64($s13->mulInt(654183, 20)); $s4 = $s4->subInt64($s13->mulInt(997805, 20)); $s5 = $s5->addInt64($s13->mulInt(136657, 18)); $s6 = $s6->subInt64($s13->mulInt(683901, 20)); $s0 = $s0->addInt64($s12->mulInt(666643, 20)); $s1 = $s1->addInt64($s12->mulInt(470296, 19)); $s2 = $s2->addInt64($s12->mulInt(654183, 20)); $s3 = $s3->subInt64($s12->mulInt(997805, 20)); $s4 = $s4->addInt64($s12->mulInt(136657, 18)); $s5 = $s5->subInt64($s12->mulInt(683901, 20)); $s12 = new ParagonIE_Sodium_Core32_Int64(); $carry0 = $s0->addInt(1 << 20)->shiftRight(21); $s1 = $s1->addInt64($carry0); $s0 = $s0->subInt64($carry0->shiftLeft(21)); $carry2 = $s2->addInt(1 << 20)->shiftRight(21); $s3 = $s3->addInt64($carry2); $s2 = $s2->subInt64($carry2->shiftLeft(21)); $carry4 = $s4->addInt(1 << 20)->shiftRight(21); $s5 = $s5->addInt64($carry4); $s4 = $s4->subInt64($carry4->shiftLeft(21)); $carry6 = $s6->addInt(1 << 20)->shiftRight(21); $s7 = $s7->addInt64($carry6); $s6 = $s6->subInt64($carry6->shiftLeft(21)); $carry8 = $s8->addInt(1 << 20)->shiftRight(21); $s9 = $s9->addInt64($carry8); $s8 = $s8->subInt64($carry8->shiftLeft(21)); $carry10 = $s10->addInt(1 << 20)->shiftRight(21); $s11 = $s11->addInt64($carry10); $s10 = $s10->subInt64($carry10->shiftLeft(21)); $carry1 = $s1->addInt(1 << 20)->shiftRight(21); $s2 = $s2->addInt64($carry1); $s1 = $s1->subInt64($carry1->shiftLeft(21)); $carry3 = $s3->addInt(1 << 20)->shiftRight(21); $s4 = $s4->addInt64($carry3); $s3 = $s3->subInt64($carry3->shiftLeft(21)); $carry5 = $s5->addInt(1 << 20)->shiftRight(21); $s6 = $s6->addInt64($carry5); $s5 = $s5->subInt64($carry5->shiftLeft(21)); $carry7 = $s7->addInt(1 << 20)->shiftRight(21); $s8 = $s8->addInt64($carry7); $s7 = $s7->subInt64($carry7->shiftLeft(21)); $carry9 = $s9->addInt(1 << 20)->shiftRight(21); $s10 = $s10->addInt64($carry9); $s9 = $s9->subInt64($carry9->shiftLeft(21)); $carry11 = $s11->addInt(1 << 20)->shiftRight(21); $s12 = $s12->addInt64($carry11); $s11 = $s11->subInt64($carry11->shiftLeft(21)); $s0 = $s0->addInt64($s12->mulInt(666643, 20)); $s1 = $s1->addInt64($s12->mulInt(470296, 19)); $s2 = $s2->addInt64($s12->mulInt(654183, 20)); $s3 = $s3->subInt64($s12->mulInt(997805, 20)); $s4 = $s4->addInt64($s12->mulInt(136657, 18)); $s5 = $s5->subInt64($s12->mulInt(683901, 20)); $s12 = new ParagonIE_Sodium_Core32_Int64(); $carry0 = $s0->shiftRight(21); $s1 = $s1->addInt64($carry0); $s0 = $s0->subInt64($carry0->shiftLeft(21)); $carry1 = $s1->shiftRight(21); $s2 = $s2->addInt64($carry1); $s1 = $s1->subInt64($carry1->shiftLeft(21)); $carry2 = $s2->shiftRight(21); $s3 = $s3->addInt64($carry2); $s2 = $s2->subInt64($carry2->shiftLeft(21)); $carry3 = $s3->shiftRight(21); $s4 = $s4->addInt64($carry3); $s3 = $s3->subInt64($carry3->shiftLeft(21)); $carry4 = $s4->shiftRight(21); $s5 = $s5->addInt64($carry4); $s4 = $s4->subInt64($carry4->shiftLeft(21)); $carry5 = $s5->shiftRight(21); $s6 = $s6->addInt64($carry5); $s5 = $s5->subInt64($carry5->shiftLeft(21)); $carry6 = $s6->shiftRight(21); $s7 = $s7->addInt64($carry6); $s6 = $s6->subInt64($carry6->shiftLeft(21)); $carry7 = $s7->shiftRight(21); $s8 = $s8->addInt64($carry7); $s7 = $s7->subInt64($carry7->shiftLeft(21)); $carry8 = $s8->shiftRight(21); $s9 = $s9->addInt64($carry8); $s8 = $s8->subInt64($carry8->shiftLeft(21)); $carry9 = $s9->shiftRight(21); $s10 = $s10->addInt64($carry9); $s9 = $s9->subInt64($carry9->shiftLeft(21)); $carry10 = $s10->shiftRight(21); $s11 = $s11->addInt64($carry10); $s10 = $s10->subInt64($carry10->shiftLeft(21)); $carry11 = $s11->shiftRight(21); $s12 = $s12->addInt64($carry11); $s11 = $s11->subInt64($carry11->shiftLeft(21)); $s0 = $s0->addInt64($s12->mulInt(666643, 20)); $s1 = $s1->addInt64($s12->mulInt(470296, 19)); $s2 = $s2->addInt64($s12->mulInt(654183, 20)); $s3 = $s3->subInt64($s12->mulInt(997805, 20)); $s4 = $s4->addInt64($s12->mulInt(136657, 18)); $s5 = $s5->subInt64($s12->mulInt(683901, 20)); $carry0 = $s0->shiftRight(21); $s1 = $s1->addInt64($carry0); $s0 = $s0->subInt64($carry0->shiftLeft(21)); $carry1 = $s1->shiftRight(21); $s2 = $s2->addInt64($carry1); $s1 = $s1->subInt64($carry1->shiftLeft(21)); $carry2 = $s2->shiftRight(21); $s3 = $s3->addInt64($carry2); $s2 = $s2->subInt64($carry2->shiftLeft(21)); $carry3 = $s3->shiftRight(21); $s4 = $s4->addInt64($carry3); $s3 = $s3->subInt64($carry3->shiftLeft(21)); $carry4 = $s4->shiftRight(21); $s5 = $s5->addInt64($carry4); $s4 = $s4->subInt64($carry4->shiftLeft(21)); $carry5 = $s5->shiftRight(21); $s6 = $s6->addInt64($carry5); $s5 = $s5->subInt64($carry5->shiftLeft(21)); $carry6 = $s6->shiftRight(21); $s7 = $s7->addInt64($carry6); $s6 = $s6->subInt64($carry6->shiftLeft(21)); $carry7 = $s7->shiftRight(21); $s8 = $s8->addInt64($carry7); $s7 = $s7->subInt64($carry7->shiftLeft(21)); $carry8 = $s10->shiftRight(21); $s9 = $s9->addInt64($carry8); $s8 = $s8->subInt64($carry8->shiftLeft(21)); $carry9 = $s9->shiftRight(21); $s10 = $s10->addInt64($carry9); $s9 = $s9->subInt64($carry9->shiftLeft(21)); $carry10 = $s10->shiftRight(21); $s11 = $s11->addInt64($carry10); $s10 = $s10->subInt64($carry10->shiftLeft(21)); $S0 = $s0->toInt(); $S1 = $s1->toInt(); $S2 = $s2->toInt(); $S3 = $s3->toInt(); $S4 = $s4->toInt(); $S5 = $s5->toInt(); $S6 = $s6->toInt(); $S7 = $s7->toInt(); $S8 = $s8->toInt(); $S9 = $s9->toInt(); $S10 = $s10->toInt(); $S11 = $s11->toInt(); /** * @var array */ $arr = array( (int) (0xff & ($S0 >> 0)), (int) (0xff & ($S0 >> 8)), (int) (0xff & (($S0 >> 16) | ($S1 << 5))), (int) (0xff & ($S1 >> 3)), (int) (0xff & ($S1 >> 11)), (int) (0xff & (($S1 >> 19) | ($S2 << 2))), (int) (0xff & ($S2 >> 6)), (int) (0xff & (($S2 >> 14) | ($S3 << 7))), (int) (0xff & ($S3 >> 1)), (int) (0xff & ($S3 >> 9)), (int) (0xff & (($S3 >> 17) | ($S4 << 4))), (int) (0xff & ($S4 >> 4)), (int) (0xff & ($S4 >> 12)), (int) (0xff & (($S4 >> 20) | ($S5 << 1))), (int) (0xff & ($S5 >> 7)), (int) (0xff & (($S5 >> 15) | ($S6 << 6))), (int) (0xff & ($S6 >> 2)), (int) (0xff & ($S6 >> 10)), (int) (0xff & (($S6 >> 18) | ($S7 << 3))), (int) (0xff & ($S7 >> 5)), (int) (0xff & ($S7 >> 13)), (int) (0xff & ($S8 >> 0)), (int) (0xff & ($S8 >> 8)), (int) (0xff & (($S8 >> 16) | ($S9 << 5))), (int) (0xff & ($S9 >> 3)), (int) (0xff & ($S9 >> 11)), (int) (0xff & (($S9 >> 19) | ($S10 << 2))), (int) (0xff & ($S10 >> 6)), (int) (0xff & (($S10 >> 14) | ($S11 << 7))), (int) (0xff & ($S11 >> 1)), (int) (0xff & ($S11 >> 9)), (int) (0xff & ($S11 >> 17)) ); return self::intArrayToString($arr); } /** * @internal You should not use this directly from another application * * @param string $s * @return string * @throws SodiumException * @throws TypeError */ public static function sc_reduce($s) { /** * @var ParagonIE_Sodium_Core32_Int64 $s0 * @var ParagonIE_Sodium_Core32_Int64 $s1 * @var ParagonIE_Sodium_Core32_Int64 $s2 * @var ParagonIE_Sodium_Core32_Int64 $s3 * @var ParagonIE_Sodium_Core32_Int64 $s4 * @var ParagonIE_Sodium_Core32_Int64 $s5 * @var ParagonIE_Sodium_Core32_Int64 $s6 * @var ParagonIE_Sodium_Core32_Int64 $s7 * @var ParagonIE_Sodium_Core32_Int64 $s8 * @var ParagonIE_Sodium_Core32_Int64 $s9 * @var ParagonIE_Sodium_Core32_Int64 $s10 * @var ParagonIE_Sodium_Core32_Int64 $s11 * @var ParagonIE_Sodium_Core32_Int64 $s12 * @var ParagonIE_Sodium_Core32_Int64 $s13 * @var ParagonIE_Sodium_Core32_Int64 $s14 * @var ParagonIE_Sodium_Core32_Int64 $s15 * @var ParagonIE_Sodium_Core32_Int64 $s16 * @var ParagonIE_Sodium_Core32_Int64 $s17 * @var ParagonIE_Sodium_Core32_Int64 $s18 * @var ParagonIE_Sodium_Core32_Int64 $s19 * @var ParagonIE_Sodium_Core32_Int64 $s20 * @var ParagonIE_Sodium_Core32_Int64 $s21 * @var ParagonIE_Sodium_Core32_Int64 $s22 * @var ParagonIE_Sodium_Core32_Int64 $s23 */ $s0 = ParagonIE_Sodium_Core32_Int64::fromInt(2097151 & self::load_3(self::substr($s, 0, 3))); $s1 = ParagonIE_Sodium_Core32_Int64::fromInt(2097151 & (self::load_4(self::substr($s, 2, 4)) >> 5)); $s2 = ParagonIE_Sodium_Core32_Int64::fromInt(2097151 & (self::load_3(self::substr($s, 5, 3)) >> 2)); $s3 = ParagonIE_Sodium_Core32_Int64::fromInt(2097151 & (self::load_4(self::substr($s, 7, 4)) >> 7)); $s4 = ParagonIE_Sodium_Core32_Int64::fromInt(2097151 & (self::load_4(self::substr($s, 10, 4)) >> 4)); $s5 = ParagonIE_Sodium_Core32_Int64::fromInt(2097151 & (self::load_3(self::substr($s, 13, 3)) >> 1)); $s6 = ParagonIE_Sodium_Core32_Int64::fromInt(2097151 & (self::load_4(self::substr($s, 15, 4)) >> 6)); $s7 = ParagonIE_Sodium_Core32_Int64::fromInt(2097151 & (self::load_3(self::substr($s, 18, 4)) >> 3)); $s8 = ParagonIE_Sodium_Core32_Int64::fromInt(2097151 & self::load_3(self::substr($s, 21, 3))); $s9 = ParagonIE_Sodium_Core32_Int64::fromInt(2097151 & (self::load_4(self::substr($s, 23, 4)) >> 5)); $s10 = ParagonIE_Sodium_Core32_Int64::fromInt(2097151 & (self::load_3(self::substr($s, 26, 3)) >> 2)); $s11 = ParagonIE_Sodium_Core32_Int64::fromInt(2097151 & (self::load_4(self::substr($s, 28, 4)) >> 7)); $s12 = ParagonIE_Sodium_Core32_Int64::fromInt(2097151 & (self::load_4(self::substr($s, 31, 4)) >> 4)); $s13 = ParagonIE_Sodium_Core32_Int64::fromInt(2097151 & (self::load_3(self::substr($s, 34, 3)) >> 1)); $s14 = ParagonIE_Sodium_Core32_Int64::fromInt(2097151 & (self::load_4(self::substr($s, 36, 4)) >> 6)); $s15 = ParagonIE_Sodium_Core32_Int64::fromInt(2097151 & (self::load_3(self::substr($s, 39, 4)) >> 3)); $s16 = ParagonIE_Sodium_Core32_Int64::fromInt(2097151 & self::load_3(self::substr($s, 42, 3))); $s17 = ParagonIE_Sodium_Core32_Int64::fromInt(2097151 & (self::load_4(self::substr($s, 44, 4)) >> 5)); $s18 = ParagonIE_Sodium_Core32_Int64::fromInt(2097151 & (self::load_3(self::substr($s, 47, 3)) >> 2)); $s19 = ParagonIE_Sodium_Core32_Int64::fromInt(2097151 & (self::load_4(self::substr($s, 49, 4)) >> 7)); $s20 = ParagonIE_Sodium_Core32_Int64::fromInt(2097151 & (self::load_4(self::substr($s, 52, 4)) >> 4)); $s21 = ParagonIE_Sodium_Core32_Int64::fromInt(2097151 & (self::load_3(self::substr($s, 55, 3)) >> 1)); $s22 = ParagonIE_Sodium_Core32_Int64::fromInt(2097151 & (self::load_4(self::substr($s, 57, 4)) >> 6)); $s23 = ParagonIE_Sodium_Core32_Int64::fromInt(0x1fffffff & (self::load_4(self::substr($s, 60, 4)) >> 3)); $s11 = $s11->addInt64($s23->mulInt(666643, 20)); $s12 = $s12->addInt64($s23->mulInt(470296, 19)); $s13 = $s13->addInt64($s23->mulInt(654183, 20)); $s14 = $s14->subInt64($s23->mulInt(997805, 20)); $s15 = $s15->addInt64($s23->mulInt(136657, 18)); $s16 = $s16->subInt64($s23->mulInt(683901, 20)); $s10 = $s10->addInt64($s22->mulInt(666643, 20)); $s11 = $s11->addInt64($s22->mulInt(470296, 19)); $s12 = $s12->addInt64($s22->mulInt(654183, 20)); $s13 = $s13->subInt64($s22->mulInt(997805, 20)); $s14 = $s14->addInt64($s22->mulInt(136657, 18)); $s15 = $s15->subInt64($s22->mulInt(683901, 20)); $s9 = $s9->addInt64($s21->mulInt(666643, 20)); $s10 = $s10->addInt64($s21->mulInt(470296, 19)); $s11 = $s11->addInt64($s21->mulInt(654183, 20)); $s12 = $s12->subInt64($s21->mulInt(997805, 20)); $s13 = $s13->addInt64($s21->mulInt(136657, 18)); $s14 = $s14->subInt64($s21->mulInt(683901, 20)); $s8 = $s8->addInt64($s20->mulInt(666643, 20)); $s9 = $s9->addInt64($s20->mulInt(470296, 19)); $s10 = $s10->addInt64($s20->mulInt(654183, 20)); $s11 = $s11->subInt64($s20->mulInt(997805, 20)); $s12 = $s12->addInt64($s20->mulInt(136657, 18)); $s13 = $s13->subInt64($s20->mulInt(683901, 20)); $s7 = $s7->addInt64($s19->mulInt(666643, 20)); $s8 = $s8->addInt64($s19->mulInt(470296, 19)); $s9 = $s9->addInt64($s19->mulInt(654183, 20)); $s10 = $s10->subInt64($s19->mulInt(997805, 20)); $s11 = $s11->addInt64($s19->mulInt(136657, 18)); $s12 = $s12->subInt64($s19->mulInt(683901, 20)); $s6 = $s6->addInt64($s18->mulInt(666643, 20)); $s7 = $s7->addInt64($s18->mulInt(470296, 19)); $s8 = $s8->addInt64($s18->mulInt(654183, 20)); $s9 = $s9->subInt64($s18->mulInt(997805, 20)); $s10 = $s10->addInt64($s18->mulInt(136657, 18)); $s11 = $s11->subInt64($s18->mulInt(683901, 20)); $carry6 = $s6->addInt(1 << 20)->shiftRight(21); $s7 = $s7->addInt64($carry6); $s6 = $s6->subInt64($carry6->shiftLeft(21)); $carry8 = $s8->addInt(1 << 20)->shiftRight(21); $s9 = $s9->addInt64($carry8); $s8 = $s8->subInt64($carry8->shiftLeft(21)); $carry10 = $s10->addInt(1 << 20)->shiftRight(21); $s11 = $s11->addInt64($carry10); $s10 = $s10->subInt64($carry10->shiftLeft(21)); $carry12 = $s12->addInt(1 << 20)->shiftRight(21); $s13 = $s13->addInt64($carry12); $s12 = $s12->subInt64($carry12->shiftLeft(21)); $carry14 = $s14->addInt(1 << 20)->shiftRight(21); $s15 = $s15->addInt64($carry14); $s14 = $s14->subInt64($carry14->shiftLeft(21)); $carry16 = $s16->addInt(1 << 20)->shiftRight(21); $s17 = $s17->addInt64($carry16); $s16 = $s16->subInt64($carry16->shiftLeft(21)); $carry7 = $s7->addInt(1 << 20)->shiftRight(21); $s8 = $s8->addInt64($carry7); $s7 = $s7->subInt64($carry7->shiftLeft(21)); $carry9 = $s9->addInt(1 << 20)->shiftRight(21); $s10 = $s10->addInt64($carry9); $s9 = $s9->subInt64($carry9->shiftLeft(21)); $carry11 = $s11->addInt(1 << 20)->shiftRight(21); $s12 = $s12->addInt64($carry11); $s11 = $s11->subInt64($carry11->shiftLeft(21)); $carry13 = $s13->addInt(1 << 20)->shiftRight(21); $s14 = $s14->addInt64($carry13); $s13 = $s13->subInt64($carry13->shiftLeft(21)); $carry15 = $s15->addInt(1 << 20)->shiftRight(21); $s16 = $s16->addInt64($carry15); $s15 = $s15->subInt64($carry15->shiftLeft(21)); $s5 = $s5->addInt64($s17->mulInt(666643, 20)); $s6 = $s6->addInt64($s17->mulInt(470296, 19)); $s7 = $s7->addInt64($s17->mulInt(654183, 20)); $s8 = $s8->subInt64($s17->mulInt(997805, 20)); $s9 = $s9->addInt64($s17->mulInt(136657, 18)); $s10 = $s10->subInt64($s17->mulInt(683901, 20)); $s4 = $s4->addInt64($s16->mulInt(666643, 20)); $s5 = $s5->addInt64($s16->mulInt(470296, 19)); $s6 = $s6->addInt64($s16->mulInt(654183, 20)); $s7 = $s7->subInt64($s16->mulInt(997805, 20)); $s8 = $s8->addInt64($s16->mulInt(136657, 18)); $s9 = $s9->subInt64($s16->mulInt(683901, 20)); $s3 = $s3->addInt64($s15->mulInt(666643, 20)); $s4 = $s4->addInt64($s15->mulInt(470296, 19)); $s5 = $s5->addInt64($s15->mulInt(654183, 20)); $s6 = $s6->subInt64($s15->mulInt(997805, 20)); $s7 = $s7->addInt64($s15->mulInt(136657, 18)); $s8 = $s8->subInt64($s15->mulInt(683901, 20)); $s2 = $s2->addInt64($s14->mulInt(666643, 20)); $s3 = $s3->addInt64($s14->mulInt(470296, 19)); $s4 = $s4->addInt64($s14->mulInt(654183, 20)); $s5 = $s5->subInt64($s14->mulInt(997805, 20)); $s6 = $s6->addInt64($s14->mulInt(136657, 18)); $s7 = $s7->subInt64($s14->mulInt(683901, 20)); $s1 = $s1->addInt64($s13->mulInt(666643, 20)); $s2 = $s2->addInt64($s13->mulInt(470296, 19)); $s3 = $s3->addInt64($s13->mulInt(654183, 20)); $s4 = $s4->subInt64($s13->mulInt(997805, 20)); $s5 = $s5->addInt64($s13->mulInt(136657, 18)); $s6 = $s6->subInt64($s13->mulInt(683901, 20)); $s0 = $s0->addInt64($s12->mulInt(666643, 20)); $s1 = $s1->addInt64($s12->mulInt(470296, 19)); $s2 = $s2->addInt64($s12->mulInt(654183, 20)); $s3 = $s3->subInt64($s12->mulInt(997805, 20)); $s4 = $s4->addInt64($s12->mulInt(136657, 18)); $s5 = $s5->subInt64($s12->mulInt(683901, 20)); $s12 = new ParagonIE_Sodium_Core32_Int64(); $carry0 = $s0->addInt(1 << 20)->shiftRight(21); $s1 = $s1->addInt64($carry0); $s0 = $s0->subInt64($carry0->shiftLeft(21)); $carry2 = $s2->addInt(1 << 20)->shiftRight(21); $s3 = $s3->addInt64($carry2); $s2 = $s2->subInt64($carry2->shiftLeft(21)); $carry4 = $s4->addInt(1 << 20)->shiftRight(21); $s5 = $s5->addInt64($carry4); $s4 = $s4->subInt64($carry4->shiftLeft(21)); $carry6 = $s6->addInt(1 << 20)->shiftRight(21); $s7 = $s7->addInt64($carry6); $s6 = $s6->subInt64($carry6->shiftLeft(21)); $carry8 = $s8->addInt(1 << 20)->shiftRight(21); $s9 = $s9->addInt64($carry8); $s8 = $s8->subInt64($carry8->shiftLeft(21)); $carry10 = $s10->addInt(1 << 20)->shiftRight(21); $s11 = $s11->addInt64($carry10); $s10 = $s10->subInt64($carry10->shiftLeft(21)); $carry1 = $s1->addInt(1 << 20)->shiftRight(21); $s2 = $s2->addInt64($carry1); $s1 = $s1->subInt64($carry1->shiftLeft(21)); $carry3 = $s3->addInt(1 << 20)->shiftRight(21); $s4 = $s4->addInt64($carry3); $s3 = $s3->subInt64($carry3->shiftLeft(21)); $carry5 = $s5->addInt(1 << 20)->shiftRight(21); $s6 = $s6->addInt64($carry5); $s5 = $s5->subInt64($carry5->shiftLeft(21)); $carry7 = $s7->addInt(1 << 20)->shiftRight(21); $s8 = $s8->addInt64($carry7); $s7 = $s7->subInt64($carry7->shiftLeft(21)); $carry9 = $s9->addInt(1 << 20)->shiftRight(21); $s10 = $s10->addInt64($carry9); $s9 = $s9->subInt64($carry9->shiftLeft(21)); $carry11 = $s11->addInt(1 << 20)->shiftRight(21); $s12 = $s12->addInt64($carry11); $s11 = $s11->subInt64($carry11->shiftLeft(21)); $s0 = $s0->addInt64($s12->mulInt(666643, 20)); $s1 = $s1->addInt64($s12->mulInt(470296, 19)); $s2 = $s2->addInt64($s12->mulInt(654183, 20)); $s3 = $s3->subInt64($s12->mulInt(997805, 20)); $s4 = $s4->addInt64($s12->mulInt(136657, 18)); $s5 = $s5->subInt64($s12->mulInt(683901, 20)); $s12 = new ParagonIE_Sodium_Core32_Int64(); $carry0 = $s0->shiftRight(21); $s1 = $s1->addInt64($carry0); $s0 = $s0->subInt64($carry0->shiftLeft(21)); $carry1 = $s1->shiftRight(21); $s2 = $s2->addInt64($carry1); $s1 = $s1->subInt64($carry1->shiftLeft(21)); $carry2 = $s2->shiftRight(21); $s3 = $s3->addInt64($carry2); $s2 = $s2->subInt64($carry2->shiftLeft(21)); $carry3 = $s3->shiftRight(21); $s4 = $s4->addInt64($carry3); $s3 = $s3->subInt64($carry3->shiftLeft(21)); $carry4 = $s4->shiftRight(21); $s5 = $s5->addInt64($carry4); $s4 = $s4->subInt64($carry4->shiftLeft(21)); $carry5 = $s5->shiftRight(21); $s6 = $s6->addInt64($carry5); $s5 = $s5->subInt64($carry5->shiftLeft(21)); $carry6 = $s6->shiftRight(21); $s7 = $s7->addInt64($carry6); $s6 = $s6->subInt64($carry6->shiftLeft(21)); $carry7 = $s7->shiftRight(21); $s8 = $s8->addInt64($carry7); $s7 = $s7->subInt64($carry7->shiftLeft(21)); $carry8 = $s8->shiftRight(21); $s9 = $s9->addInt64($carry8); $s8 = $s8->subInt64($carry8->shiftLeft(21)); $carry9 = $s9->shiftRight(21); $s10 = $s10->addInt64($carry9); $s9 = $s9->subInt64($carry9->shiftLeft(21)); $carry10 = $s10->shiftRight(21); $s11 = $s11->addInt64($carry10); $s10 = $s10->subInt64($carry10->shiftLeft(21)); $carry11 = $s11->shiftRight(21); $s12 = $s12->addInt64($carry11); $s11 = $s11->subInt64($carry11->shiftLeft(21)); $s0 = $s0->addInt64($s12->mulInt(666643, 20)); $s1 = $s1->addInt64($s12->mulInt(470296, 19)); $s2 = $s2->addInt64($s12->mulInt(654183, 20)); $s3 = $s3->subInt64($s12->mulInt(997805, 20)); $s4 = $s4->addInt64($s12->mulInt(136657, 18)); $s5 = $s5->subInt64($s12->mulInt(683901, 20)); $carry0 = $s0->shiftRight(21); $s1 = $s1->addInt64($carry0); $s0 = $s0->subInt64($carry0->shiftLeft(21)); $carry1 = $s1->shiftRight(21); $s2 = $s2->addInt64($carry1); $s1 = $s1->subInt64($carry1->shiftLeft(21)); $carry2 = $s2->shiftRight(21); $s3 = $s3->addInt64($carry2); $s2 = $s2->subInt64($carry2->shiftLeft(21)); $carry3 = $s3->shiftRight(21); $s4 = $s4->addInt64($carry3); $s3 = $s3->subInt64($carry3->shiftLeft(21)); $carry4 = $s4->shiftRight(21); $s5 = $s5->addInt64($carry4); $s4 = $s4->subInt64($carry4->shiftLeft(21)); $carry5 = $s5->shiftRight(21); $s6 = $s6->addInt64($carry5); $s5 = $s5->subInt64($carry5->shiftLeft(21)); $carry6 = $s6->shiftRight(21); $s7 = $s7->addInt64($carry6); $s6 = $s6->subInt64($carry6->shiftLeft(21)); $carry7 = $s7->shiftRight(21); $s8 = $s8->addInt64($carry7); $s7 = $s7->subInt64($carry7->shiftLeft(21)); $carry8 = $s8->shiftRight(21); $s9 = $s9->addInt64($carry8); $s8 = $s8->subInt64($carry8->shiftLeft(21)); $carry9 = $s9->shiftRight(21); $s10 = $s10->addInt64($carry9); $s9 = $s9->subInt64($carry9->shiftLeft(21)); $carry10 = $s10->shiftRight(21); $s11 = $s11->addInt64($carry10); $s10 = $s10->subInt64($carry10->shiftLeft(21)); $S0 = $s0->toInt32()->toInt(); $S1 = $s1->toInt32()->toInt(); $S2 = $s2->toInt32()->toInt(); $S3 = $s3->toInt32()->toInt(); $S4 = $s4->toInt32()->toInt(); $S5 = $s5->toInt32()->toInt(); $S6 = $s6->toInt32()->toInt(); $S7 = $s7->toInt32()->toInt(); $S8 = $s8->toInt32()->toInt(); $S9 = $s9->toInt32()->toInt(); $S10 = $s10->toInt32()->toInt(); $S11 = $s11->toInt32()->toInt(); /** * @var array */ $arr = array( (int) ($S0 >> 0), (int) ($S0 >> 8), (int) (($S0 >> 16) | ($S1 << 5)), (int) ($S1 >> 3), (int) ($S1 >> 11), (int) (($S1 >> 19) | ($S2 << 2)), (int) ($S2 >> 6), (int) (($S2 >> 14) | ($S3 << 7)), (int) ($S3 >> 1), (int) ($S3 >> 9), (int) (($S3 >> 17) | ($S4 << 4)), (int) ($S4 >> 4), (int) ($S4 >> 12), (int) (($S4 >> 20) | ($S5 << 1)), (int) ($S5 >> 7), (int) (($S5 >> 15) | ($S6 << 6)), (int) ($S6 >> 2), (int) ($S6 >> 10), (int) (($S6 >> 18) | ($S7 << 3)), (int) ($S7 >> 5), (int) ($S7 >> 13), (int) ($S8 >> 0), (int) ($S8 >> 8), (int) (($S8 >> 16) | ($S9 << 5)), (int) ($S9 >> 3), (int) ($S9 >> 11), (int) (($S9 >> 19) | ($S10 << 2)), (int) ($S10 >> 6), (int) (($S10 >> 14) | ($S11 << 7)), (int) ($S11 >> 1), (int) ($S11 >> 9), (int) $S11 >> 17 ); return self::intArrayToString($arr); } /** * multiply by the order of the main subgroup l = 2^252+27742317777372353535851937790883648493 * * @param ParagonIE_Sodium_Core32_Curve25519_Ge_P3 $A * @return ParagonIE_Sodium_Core32_Curve25519_Ge_P3 * @throws SodiumException * @throws TypeError */ public static function ge_mul_l(ParagonIE_Sodium_Core32_Curve25519_Ge_P3 $A) { $aslide = array( 13, 0, 0, 0, 0, -1, 0, 0, 0, 0, -11, 0, 0, 0, 0, 0, 0, -5, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, -13, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, -13, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 11, 0, 0, 0, 0, 0, 11, 0, 0, 0, 0, -13, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 3, 0, 0, 0, 0, -11, 0, 0, 0, 0, 0, 0, 0, 15, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 7, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ); /** @var array $Ai size 8 */ $Ai = array(); # ge_p3_to_cached(&Ai[0], A); $Ai[0] = self::ge_p3_to_cached($A); # ge_p3_dbl(&t, A); $t = self::ge_p3_dbl($A); # ge_p1p1_to_p3(&A2, &t); $A2 = self::ge_p1p1_to_p3($t); for ($i = 1; $i < 8; ++$i) { # ge_add(&t, &A2, &Ai[0]); $t = self::ge_add($A2, $Ai[$i - 1]); # ge_p1p1_to_p3(&u, &t); $u = self::ge_p1p1_to_p3($t); # ge_p3_to_cached(&Ai[i], &u); $Ai[$i] = self::ge_p3_to_cached($u); } $r = self::ge_p3_0(); for ($i = 252; $i >= 0; --$i) { $t = self::ge_p3_dbl($r); if ($aslide[$i] > 0) { # ge_p1p1_to_p3(&u, &t); $u = self::ge_p1p1_to_p3($t); # ge_add(&t, &u, &Ai[aslide[i] / 2]); $t = self::ge_add($u, $Ai[(int)($aslide[$i] / 2)]); } elseif ($aslide[$i] < 0) { # ge_p1p1_to_p3(&u, &t); $u = self::ge_p1p1_to_p3($t); # ge_sub(&t, &u, &Ai[(-aslide[i]) / 2]); $t = self::ge_sub($u, $Ai[(int)(-$aslide[$i] / 2)]); } } # ge_p1p1_to_p3(r, &t); return self::ge_p1p1_to_p3($t); } }