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Name	Size	Last Modified
📁 ..	-	2025-09-05 13:25
📁 AEGIS	-	2025-09-05 13:25
📄 AEGIS128L.php <?php if (!defined('SODIUM_COMPAT_AEGIS_C0')) { define('SODIUM_COMPAT_AEGIS_C0', "\x00\x01\x01\x02\x03\x05\x08\x0d\x15\x22\x37\x59\x90\xe9\x79\x62"); } if (!defined('SODIUM_COMPAT_AEGIS_C1')) { define('SODIUM_COMPAT_AEGIS_C1', "\xdb\x3d\x18\x55\x6d\xc2\x2f\xf1\x20\x11\x31\x42\x73\xb5\x28\xdd"); } class ParagonIE_Sodium_Core_AEGIS128L extends ParagonIE_Sodium_Core_AES { /** * @param string $ct * @param string $tag * @param string $ad * @param string $key * @param string $nonce * @return string * @throws SodiumException / public static function decrypt($ct, $tag, $ad, $key, $nonce) { $state = self::init($key, $nonce); $ad_blocks = (self::strlen($ad) + 31) >> 5; for ($i = 0; $i < $ad_blocks; ++$i) { $ai = self::substr($ad, $i << 5, 32); if (self::strlen($ai) < 32) { $ai = str_pad($ai, 32, "\0", STR_PAD_RIGHT); } $state->absorb($ai); } $msg = ''; $cn = self::strlen($ct) & 31; $ct_blocks = self::strlen($ct) >> 5; for ($i = 0; $i < $ct_blocks; ++$i) { $msg .= $state->dec(self::substr($ct, $i << 5, 32)); } if ($cn) { $start = $ct_blocks << 5; $msg .= $state->decPartial(self::substr($ct, $start, $cn)); } $expected_tag = $state->finalize( self::strlen($ad) << 3, self::strlen($msg) << 3 ); if (!self::hashEquals($expected_tag, $tag)) { try { // The RFC says to erase msg, so we shall try: ParagonIE_Sodium_Compat::memzero($msg); } catch (SodiumException $ex) { // Do nothing if we cannot memzero } throw new SodiumException('verification failed'); } return $msg; } /* * @param string $msg * @param string $ad * @param string $key * @param string $nonce * @return array * * @throws SodiumException / public static function encrypt($msg, $ad, $key, $nonce) { $state = self::init($key, $nonce); // ad_blocks = Split(ZeroPad(ad, 256), 256) // for ai in ad_blocks: // Absorb(ai) $ad_len = self::strlen($ad); $msg_len = self::strlen($msg); $ad_blocks = ($ad_len + 31) >> 5; for ($i = 0; $i < $ad_blocks; ++$i) { $ai = self::substr($ad, $i << 5, 32); if (self::strlen($ai) < 32) { $ai = str_pad($ai, 32, "\0", STR_PAD_RIGHT); } $state->absorb($ai); } // msg_blocks = Split(ZeroPad(msg, 256), 256) // for xi in msg_blocks: // ct = ct \|\| Enc(xi) $ct = ''; $msg_blocks = ($msg_len + 31) >> 5; for ($i = 0; $i < $msg_blocks; ++$i) { $xi = self::substr($msg, $i << 5, 32); if (self::strlen($xi) < 32) { $xi = str_pad($xi, 32, "\0", STR_PAD_RIGHT); } $ct .= $state->enc($xi); } // tag = Finalize(\|ad\|, \|msg\|) // ct = Truncate(ct, \|msg\|) $tag = $state->finalize( $ad_len << 3, $msg_len << 3 ); // return ct and tag return array( self::substr($ct, 0, $msg_len), $tag ); } /* * @param string $key * @param string $nonce * @return ParagonIE_Sodium_Core_AEGIS_State128L */ public static function init($key, $nonce) { return ParagonIE_Sodium_Core_AEGIS_State128L::init($key, $nonce); } }	3.58 KB	2025-09-05 13:25
📄 AEGIS256.php <?php if (!defined('SODIUM_COMPAT_AEGIS_C0')) { define('SODIUM_COMPAT_AEGIS_C0', "\x00\x01\x01\x02\x03\x05\x08\x0d\x15\x22\x37\x59\x90\xe9\x79\x62"); } if (!defined('SODIUM_COMPAT_AEGIS_C1')) { define('SODIUM_COMPAT_AEGIS_C1', "\xdb\x3d\x18\x55\x6d\xc2\x2f\xf1\x20\x11\x31\x42\x73\xb5\x28\xdd"); } class ParagonIE_Sodium_Core_AEGIS256 extends ParagonIE_Sodium_Core_AES { /** * @param string $ct * @param string $tag * @param string $ad * @param string $key * @param string $nonce * @return string * @throws SodiumException / public static function decrypt($ct, $tag, $ad, $key, $nonce) { $state = self::init($key, $nonce); // ad_blocks = Split(ZeroPad(ad, 128), 128) $ad_blocks = (self::strlen($ad) + 15) >> 4; // for ai in ad_blocks: // Absorb(ai) for ($i = 0; $i < $ad_blocks; ++$i) { $ai = self::substr($ad, $i << 4, 16); if (self::strlen($ai) < 16) { $ai = str_pad($ai, 16, "\0", STR_PAD_RIGHT); } $state->absorb($ai); } $msg = ''; $cn = self::strlen($ct) & 15; $ct_blocks = self::strlen($ct) >> 4; // ct_blocks = Split(ZeroPad(ct, 128), 128) // cn = Tail(ct, \|ct\| mod 128) for ($i = 0; $i < $ct_blocks; ++$i) { $msg .= $state->dec(self::substr($ct, $i << 4, 16)); } // if cn is not empty: // msg = msg \|\| DecPartial(cn) if ($cn) { $start = $ct_blocks << 4; $msg .= $state->decPartial(self::substr($ct, $start, $cn)); } $expected_tag = $state->finalize( self::strlen($ad) << 3, self::strlen($msg) << 3 ); if (!self::hashEquals($expected_tag, $tag)) { try { // The RFC says to erase msg, so we shall try: ParagonIE_Sodium_Compat::memzero($msg); } catch (SodiumException $ex) { // Do nothing if we cannot memzero } throw new SodiumException('verification failed'); } return $msg; } /* * @param string $msg * @param string $ad * @param string $key * @param string $nonce * @return array * @throws SodiumException / public static function encrypt($msg, $ad, $key, $nonce) { $state = self::init($key, $nonce); $ad_len = self::strlen($ad); $msg_len = self::strlen($msg); $ad_blocks = ($ad_len + 15) >> 4; for ($i = 0; $i < $ad_blocks; ++$i) { $ai = self::substr($ad, $i << 4, 16); if (self::strlen($ai) < 16) { $ai = str_pad($ai, 16, "\0", STR_PAD_RIGHT); } $state->absorb($ai); } $ct = ''; $msg_blocks = ($msg_len + 15) >> 4; for ($i = 0; $i < $msg_blocks; ++$i) { $xi = self::substr($msg, $i << 4, 16); if (self::strlen($xi) < 16) { $xi = str_pad($xi, 16, "\0", STR_PAD_RIGHT); } $ct .= $state->enc($xi); } $tag = $state->finalize( $ad_len << 3, $msg_len << 3 ); return array( self::substr($ct, 0, $msg_len), $tag ); } /* * @param string $key * @param string $nonce * @return ParagonIE_Sodium_Core_AEGIS_State256 */ public static function init($key, $nonce) { return ParagonIE_Sodium_Core_AEGIS_State256::init($key, $nonce); } }	3.51 KB	2025-09-05 13:25
📁 AES	-	2025-09-05 13:25
📄 AES.php <?php if (class_exists('ParagonIE_Sodium_Core_AES', false)) { return; } /** * Bitsliced implementation of the AES block cipher. * * Based on the implementation provided by BearSSL. * * @internal This should only be used by sodium_compat / class ParagonIE_Sodium_Core_AES extends ParagonIE_Sodium_Core_Util { /* * @var int[] AES round constants / private static $Rcon = array( 0x01, 0x02, 0x04, 0x08, 0x10, 0x20, 0x40, 0x80, 0x1B, 0x36 ); /* * Mutates the values of $q! * * @param ParagonIE_Sodium_Core_AES_Block $q * @return void / public static function sbox(ParagonIE_Sodium_Core_AES_Block $q) { /* * @var int $x0 * @var int $x1 * @var int $x2 * @var int $x3 * @var int $x4 * @var int $x5 * @var int $x6 * @var int $x7 / $x0 = $q[7] & self::U32_MAX; $x1 = $q[6] & self::U32_MAX; $x2 = $q[5] & self::U32_MAX; $x3 = $q[4] & self::U32_MAX; $x4 = $q[3] & self::U32_MAX; $x5 = $q[2] & self::U32_MAX; $x6 = $q[1] & self::U32_MAX; $x7 = $q[0] & self::U32_MAX; $y14 = $x3 ^ $x5; $y13 = $x0 ^ $x6; $y9 = $x0 ^ $x3; $y8 = $x0 ^ $x5; $t0 = $x1 ^ $x2; $y1 = $t0 ^ $x7; $y4 = $y1 ^ $x3; $y12 = $y13 ^ $y14; $y2 = $y1 ^ $x0; $y5 = $y1 ^ $x6; $y3 = $y5 ^ $y8; $t1 = $x4 ^ $y12; $y15 = $t1 ^ $x5; $y20 = $t1 ^ $x1; $y6 = $y15 ^ $x7; $y10 = $y15 ^ $t0; $y11 = $y20 ^ $y9; $y7 = $x7 ^ $y11; $y17 = $y10 ^ $y11; $y19 = $y10 ^ $y8; $y16 = $t0 ^ $y11; $y21 = $y13 ^ $y16; $y18 = $x0 ^ $y16; / * Non-linear section. / $t2 = $y12 & $y15; $t3 = $y3 & $y6; $t4 = $t3 ^ $t2; $t5 = $y4 & $x7; $t6 = $t5 ^ $t2; $t7 = $y13 & $y16; $t8 = $y5 & $y1; $t9 = $t8 ^ $t7; $t10 = $y2 & $y7; $t11 = $t10 ^ $t7; $t12 = $y9 & $y11; $t13 = $y14 & $y17; $t14 = $t13 ^ $t12; $t15 = $y8 & $y10; $t16 = $t15 ^ $t12; $t17 = $t4 ^ $t14; $t18 = $t6 ^ $t16; $t19 = $t9 ^ $t14; $t20 = $t11 ^ $t16; $t21 = $t17 ^ $y20; $t22 = $t18 ^ $y19; $t23 = $t19 ^ $y21; $t24 = $t20 ^ $y18; $t25 = $t21 ^ $t22; $t26 = $t21 & $t23; $t27 = $t24 ^ $t26; $t28 = $t25 & $t27; $t29 = $t28 ^ $t22; $t30 = $t23 ^ $t24; $t31 = $t22 ^ $t26; $t32 = $t31 & $t30; $t33 = $t32 ^ $t24; $t34 = $t23 ^ $t33; $t35 = $t27 ^ $t33; $t36 = $t24 & $t35; $t37 = $t36 ^ $t34; $t38 = $t27 ^ $t36; $t39 = $t29 & $t38; $t40 = $t25 ^ $t39; $t41 = $t40 ^ $t37; $t42 = $t29 ^ $t33; $t43 = $t29 ^ $t40; $t44 = $t33 ^ $t37; $t45 = $t42 ^ $t41; $z0 = $t44 & $y15; $z1 = $t37 & $y6; $z2 = $t33 & $x7; $z3 = $t43 & $y16; $z4 = $t40 & $y1; $z5 = $t29 & $y7; $z6 = $t42 & $y11; $z7 = $t45 & $y17; $z8 = $t41 & $y10; $z9 = $t44 & $y12; $z10 = $t37 & $y3; $z11 = $t33 & $y4; $z12 = $t43 & $y13; $z13 = $t40 & $y5; $z14 = $t29 & $y2; $z15 = $t42 & $y9; $z16 = $t45 & $y14; $z17 = $t41 & $y8; / * Bottom linear transformation. / $t46 = $z15 ^ $z16; $t47 = $z10 ^ $z11; $t48 = $z5 ^ $z13; $t49 = $z9 ^ $z10; $t50 = $z2 ^ $z12; $t51 = $z2 ^ $z5; $t52 = $z7 ^ $z8; $t53 = $z0 ^ $z3; $t54 = $z6 ^ $z7; $t55 = $z16 ^ $z17; $t56 = $z12 ^ $t48; $t57 = $t50 ^ $t53; $t58 = $z4 ^ $t46; $t59 = $z3 ^ $t54; $t60 = $t46 ^ $t57; $t61 = $z14 ^ $t57; $t62 = $t52 ^ $t58; $t63 = $t49 ^ $t58; $t64 = $z4 ^ $t59; $t65 = $t61 ^ $t62; $t66 = $z1 ^ $t63; $s0 = $t59 ^ $t63; $s6 = $t56 ^ ~$t62; $s7 = $t48 ^ ~$t60; $t67 = $t64 ^ $t65; $s3 = $t53 ^ $t66; $s4 = $t51 ^ $t66; $s5 = $t47 ^ $t65; $s1 = $t64 ^ ~$s3; $s2 = $t55 ^ ~$t67; $q[7] = $s0 & self::U32_MAX; $q[6] = $s1 & self::U32_MAX; $q[5] = $s2 & self::U32_MAX; $q[4] = $s3 & self::U32_MAX; $q[3] = $s4 & self::U32_MAX; $q[2] = $s5 & self::U32_MAX; $q[1] = $s6 & self::U32_MAX; $q[0] = $s7 & self::U32_MAX; } /* * Mutates the values of $q! * * @param ParagonIE_Sodium_Core_AES_Block $q * @return void / public static function invSbox(ParagonIE_Sodium_Core_AES_Block $q) { self::processInversion($q); self::sbox($q); self::processInversion($q); } /* * This is some boilerplate code needed to invert an S-box. Rather than repeat the code * twice, I moved it to a protected method. * * Mutates $q * * @param ParagonIE_Sodium_Core_AES_Block $q * @return void / protected static function processInversion(ParagonIE_Sodium_Core_AES_Block $q) { $q0 = (~$q[0]) & self::U32_MAX; $q1 = (~$q[1]) & self::U32_MAX; $q2 = $q[2] & self::U32_MAX; $q3 = $q[3] & self::U32_MAX; $q4 = $q[4] & self::U32_MAX; $q5 = (~$q[5]) & self::U32_MAX; $q6 = (~$q[6]) & self::U32_MAX; $q7 = $q[7] & self::U32_MAX; $q[7] = ($q1 ^ $q4 ^ $q6) & self::U32_MAX; $q[6] = ($q0 ^ $q3 ^ $q5) & self::U32_MAX; $q[5] = ($q7 ^ $q2 ^ $q4) & self::U32_MAX; $q[4] = ($q6 ^ $q1 ^ $q3) & self::U32_MAX; $q[3] = ($q5 ^ $q0 ^ $q2) & self::U32_MAX; $q[2] = ($q4 ^ $q7 ^ $q1) & self::U32_MAX; $q[1] = ($q3 ^ $q6 ^ $q0) & self::U32_MAX; $q[0] = ($q2 ^ $q5 ^ $q7) & self::U32_MAX; } /* * @param int $x * @return int / public static function subWord($x) { $q = ParagonIE_Sodium_Core_AES_Block::fromArray( array($x, $x, $x, $x, $x, $x, $x, $x) ); $q->orthogonalize(); self::sbox($q); $q->orthogonalize(); return $q[0] & self::U32_MAX; } /* * Calculate the key schedule from a given random key * * @param string $key * @return ParagonIE_Sodium_Core_AES_KeySchedule * @throws SodiumException / public static function keySchedule($key) { $key_len = self::strlen($key); switch ($key_len) { case 16: $num_rounds = 10; break; case 24: $num_rounds = 12; break; case 32: $num_rounds = 14; break; default: throw new SodiumException('Invalid key length: ' . $key_len); } $skey = array(); $comp_skey = array(); $nk = $key_len >> 2; $nkf = ($num_rounds + 1) << 2; $tmp = 0; for ($i = 0; $i < $nk; ++$i) { $tmp = self::load_4(self::substr($key, $i << 2, 4)); $skey[($i << 1)] = $tmp; $skey[($i << 1) + 1] = $tmp; } for ($i = $nk, $j = 0, $k = 0; $i < $nkf; ++$i) { if ($j === 0) { $tmp = (($tmp & 0xff) << 24) \| ($tmp >> 8); $tmp = (self::subWord($tmp) ^ self::$Rcon[$k]) & self::U32_MAX; } elseif ($nk > 6 && $j === 4) { $tmp = self::subWord($tmp); } $tmp ^= $skey[($i - $nk) << 1]; $skey[($i << 1)] = $tmp & self::U32_MAX; $skey[($i << 1) + 1] = $tmp & self::U32_MAX; if (++$j === $nk) { /* @psalm-suppress LoopInvalidation / $j = 0; ++$k; } } for ($i = 0; $i < $nkf; $i += 4) { $q = ParagonIE_Sodium_Core_AES_Block::fromArray( array_slice($skey, $i << 1, 8) ); $q->orthogonalize(); // We have to overwrite $skey since we're not using C pointers like BearSSL did for ($j = 0; $j < 8; ++$j) { $skey[($i << 1) + $j] = $q[$j]; } } for ($i = 0, $j = 0; $i < $nkf; ++$i, $j += 2) { $comp_skey[$i] = ($skey[$j] & 0x55555555) \| ($skey[$j + 1] & 0xAAAAAAAA); } return new ParagonIE_Sodium_Core_AES_KeySchedule($comp_skey, $num_rounds); } /* * Mutates $q * * @param ParagonIE_Sodium_Core_AES_KeySchedule $skey * @param ParagonIE_Sodium_Core_AES_Block $q * @param int $offset * @return void / public static function addRoundKey( ParagonIE_Sodium_Core_AES_Block $q, ParagonIE_Sodium_Core_AES_KeySchedule $skey, $offset = 0 ) { $block = $skey->getRoundKey($offset); for ($j = 0; $j < 8; ++$j) { $q[$j] = ($q[$j] ^ $block[$j]) & ParagonIE_Sodium_Core_Util::U32_MAX; } } /* * This mainly exists for testing, as we need the round key features for AEGIS. * * @param string $message * @param string $key * @return string * @throws SodiumException / public static function decryptBlockECB($message, $key) { if (self::strlen($message) !== 16) { throw new SodiumException('decryptBlockECB() expects a 16 byte message'); } $skey = self::keySchedule($key)->expand(); $q = ParagonIE_Sodium_Core_AES_Block::init(); $q[0] = self::load_4(self::substr($message, 0, 4)); $q[2] = self::load_4(self::substr($message, 4, 4)); $q[4] = self::load_4(self::substr($message, 8, 4)); $q[6] = self::load_4(self::substr($message, 12, 4)); $q->orthogonalize(); self::bitsliceDecryptBlock($skey, $q); $q->orthogonalize(); return self::store32_le($q[0]) . self::store32_le($q[2]) . self::store32_le($q[4]) . self::store32_le($q[6]); } /* * This mainly exists for testing, as we need the round key features for AEGIS. * * @param string $message * @param string $key * @return string * @throws SodiumException / public static function encryptBlockECB($message, $key) { if (self::strlen($message) !== 16) { throw new SodiumException('encryptBlockECB() expects a 16 byte message'); } $comp_skey = self::keySchedule($key); $skey = $comp_skey->expand(); $q = ParagonIE_Sodium_Core_AES_Block::init(); $q[0] = self::load_4(self::substr($message, 0, 4)); $q[2] = self::load_4(self::substr($message, 4, 4)); $q[4] = self::load_4(self::substr($message, 8, 4)); $q[6] = self::load_4(self::substr($message, 12, 4)); $q->orthogonalize(); self::bitsliceEncryptBlock($skey, $q); $q->orthogonalize(); return self::store32_le($q[0]) . self::store32_le($q[2]) . self::store32_le($q[4]) . self::store32_le($q[6]); } /* * Mutates $q * * @param ParagonIE_Sodium_Core_AES_Expanded $skey * @param ParagonIE_Sodium_Core_AES_Block $q * @return void / public static function bitsliceEncryptBlock( ParagonIE_Sodium_Core_AES_Expanded $skey, ParagonIE_Sodium_Core_AES_Block $q ) { self::addRoundKey($q, $skey); for ($u = 1; $u < $skey->getNumRounds(); ++$u) { self::sbox($q); $q->shiftRows(); $q->mixColumns(); self::addRoundKey($q, $skey, ($u << 3)); } self::sbox($q); $q->shiftRows(); self::addRoundKey($q, $skey, ($skey->getNumRounds() << 3)); } /* * @param string $x * @param string $y * @return string / public static function aesRound($x, $y) { $q = ParagonIE_Sodium_Core_AES_Block::init(); $q[0] = self::load_4(self::substr($x, 0, 4)); $q[2] = self::load_4(self::substr($x, 4, 4)); $q[4] = self::load_4(self::substr($x, 8, 4)); $q[6] = self::load_4(self::substr($x, 12, 4)); $rk = ParagonIE_Sodium_Core_AES_Block::init(); $rk[0] = $rk[1] = self::load_4(self::substr($y, 0, 4)); $rk[2] = $rk[3] = self::load_4(self::substr($y, 4, 4)); $rk[4] = $rk[5] = self::load_4(self::substr($y, 8, 4)); $rk[6] = $rk[7] = self::load_4(self::substr($y, 12, 4)); $q->orthogonalize(); self::sbox($q); $q->shiftRows(); $q->mixColumns(); $q->orthogonalize(); // add round key without key schedule: for ($i = 0; $i < 8; ++$i) { $q[$i] ^= $rk[$i]; } return self::store32_le($q[0]) . self::store32_le($q[2]) . self::store32_le($q[4]) . self::store32_le($q[6]); } /* * Process two AES blocks in one shot. * * @param string $b0 First AES block * @param string $rk0 First round key * @param string $b1 Second AES block * @param string $rk1 Second round key * @return string[] / public static function doubleRound($b0, $rk0, $b1, $rk1) { $q = ParagonIE_Sodium_Core_AES_Block::init(); // First block $q[0] = self::load_4(self::substr($b0, 0, 4)); $q[2] = self::load_4(self::substr($b0, 4, 4)); $q[4] = self::load_4(self::substr($b0, 8, 4)); $q[6] = self::load_4(self::substr($b0, 12, 4)); // Second block $q[1] = self::load_4(self::substr($b1, 0, 4)); $q[3] = self::load_4(self::substr($b1, 4, 4)); $q[5] = self::load_4(self::substr($b1, 8, 4)); $q[7] = self::load_4(self::substr($b1, 12, 4));; $rk = ParagonIE_Sodium_Core_AES_Block::init(); // First round key $rk[0] = self::load_4(self::substr($rk0, 0, 4)); $rk[2] = self::load_4(self::substr($rk0, 4, 4)); $rk[4] = self::load_4(self::substr($rk0, 8, 4)); $rk[6] = self::load_4(self::substr($rk0, 12, 4)); // Second round key $rk[1] = self::load_4(self::substr($rk1, 0, 4)); $rk[3] = self::load_4(self::substr($rk1, 4, 4)); $rk[5] = self::load_4(self::substr($rk1, 8, 4)); $rk[7] = self::load_4(self::substr($rk1, 12, 4)); $q->orthogonalize(); self::sbox($q); $q->shiftRows(); $q->mixColumns(); $q->orthogonalize(); // add round key without key schedule: for ($i = 0; $i < 8; ++$i) { $q[$i] ^= $rk[$i]; } return array( self::store32_le($q[0]) . self::store32_le($q[2]) . self::store32_le($q[4]) . self::store32_le($q[6]), self::store32_le($q[1]) . self::store32_le($q[3]) . self::store32_le($q[5]) . self::store32_le($q[7]), ); } /* * @param ParagonIE_Sodium_Core_AES_Expanded $skey * @param ParagonIE_Sodium_Core_AES_Block $q * @return void */ public static function bitsliceDecryptBlock( ParagonIE_Sodium_Core_AES_Expanded $skey, ParagonIE_Sodium_Core_AES_Block $q ) { self::addRoundKey($q, $skey, ($skey->getNumRounds() << 3)); for ($u = $skey->getNumRounds() - 1; $u > 0; --$u) { $q->inverseShiftRows(); self::invSbox($q); self::addRoundKey($q, $skey, ($u << 3)); $q->inverseMixColumns(); } $q->inverseShiftRows(); self::invSbox($q); self::addRoundKey($q, $skey, ($u << 3)); } }	15.51 KB	2025-09-05 13:25
📄 BLAKE2b.php <?php if (class_exists('ParagonIE_Sodium_Core_BLAKE2b', false)) { return; } /** * Class ParagonIE_Sodium_Core_BLAKE2b * * Based on the work of Devi Mandiri in devi/salt. / abstract class ParagonIE_Sodium_Core_BLAKE2b extends ParagonIE_Sodium_Core_Util { /* * @var SplFixedArray / protected static $iv; /* * @var array<int, array<int, int>> / protected 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 $low * @return SplFixedArray * @psalm-suppress MixedAssignment / public static function new64($high, $low) { if (PHP_INT_SIZE === 4) { throw new SodiumException("Error, use 32-bit"); } $i64 = new SplFixedArray(2); $i64[0] = $high & 0xffffffff; $i64[1] = $low & 0xffffffff; return $i64; } /* * 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 $num * @return SplFixedArray / protected static function to64($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 SplFixedArray $x * @param SplFixedArray $y * @return SplFixedArray * @psalm-suppress MixedArgument * @psalm-suppress MixedAssignment * @psalm-suppress MixedOperand / protected static function add64($x, $y) { if (PHP_INT_SIZE === 4) { throw new SodiumException("Error, use 32-bit"); } $l = ($x[1] + $y[1]) & 0xffffffff; return self::new64( (int) ($x[0] + $y[0] + ( ($l < $x[1]) ? 1 : 0 )), (int) $l ); } /* * @internal You should not use this directly from another application * * @param SplFixedArray $x * @param SplFixedArray $y * @param SplFixedArray $z * @return SplFixedArray / protected static function add364($x, $y, $z) { return self::add64($x, self::add64($y, $z)); } /* * @internal You should not use this directly from another application * * @param SplFixedArray $x * @param SplFixedArray $y * @return SplFixedArray * @throws SodiumException * @throws TypeError / protected static function xor64(SplFixedArray $x, SplFixedArray $y) { if (PHP_INT_SIZE === 4) { throw new SodiumException("Error, use 32-bit"); } if (!is_numeric($x[0])) { throw new SodiumException('x[0] is not an integer'); } if (!is_numeric($x[1])) { throw new SodiumException('x[1] is not an integer'); } if (!is_numeric($y[0])) { throw new SodiumException('y[0] is not an integer'); } if (!is_numeric($y[1])) { throw new SodiumException('y[1] is not an integer'); } return self::new64( (int) (($x[0] ^ $y[0]) & 0xffffffff), (int) (($x[1] ^ $y[1]) & 0xffffffff) ); } /* * @internal You should not use this directly from another application * * @param SplFixedArray $x * @param int $c * @return SplFixedArray * @psalm-suppress MixedAssignment / public static function rotr64($x, $c) { if (PHP_INT_SIZE === 4) { throw new SodiumException("Error, use 32-bit"); } if ($c >= 64) { $c %= 64; } if ($c >= 32) { /* @var int $tmp / $tmp = $x[0]; $x[0] = $x[1]; $x[1] = $tmp; $c -= 32; } if ($c === 0) { return $x; } $l0 = 0; $c = 64 - $c; /* @var int $c / if ($c < 32) { $h0 = ((int) ($x[0]) << $c) \| ( ( (int) ($x[1]) & ((1 << $c) - 1) << (32 - $c) ) >> (32 - $c) ); $l0 = (int) ($x[1]) << $c; } else { $h0 = (int) ($x[1]) << ($c - 32); } $h1 = 0; $c1 = 64 - $c; if ($c1 < 32) { $h1 = (int) ($x[0]) >> $c1; $l1 = ((int) ($x[1]) >> $c1) \| ((int) ($x[0]) & ((1 << $c1) - 1)) << (32 - $c1); } else { $l1 = (int) ($x[0]) >> ($c1 - 32); } return self::new64($h0 \| $h1, $l0 \| $l1); } /* * @internal You should not use this directly from another application * * @param SplFixedArray $x * @return int * @psalm-suppress MixedOperand / protected static function flatten64($x) { return (int) ($x[0] 4294967296 + $x[1]); } /** * @internal You should not use this directly from another application * * @param SplFixedArray $x * @param int $i * @return SplFixedArray * @psalm-suppress MixedArgument * @psalm-suppress MixedArrayOffset / protected static function load64(SplFixedArray $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 SplFixedArray $u * @return void * @psalm-suppress MixedAssignment / protected static function store64(SplFixedArray $x, $i, SplFixedArray $u) { $maxLength = $x->getSize() - 1; for ($j = 0; $j < 8; ++$j) { / [0, 1, 2, 3, 4, 5, 6, 7] ... becomes ... [0, 0, 0, 0, 1, 1, 1, 1] / /* @var int $uIdx / $uIdx = ((7 - $j) & 4) >> 2; $x[$i] = ((int) ($u[$uIdx]) & 0xff); if (++$i > $maxLength) { return; } /* @psalm-suppress MixedOperand / $u[$uIdx] >>= 8; } } /* * This just sets the $iv static variable. * * @internal You should not use this directly from another application * * @return void / 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 * @psalm-suppress MixedAssignment * @psalm-suppress MixedArrayAccess * @psalm-suppress MixedArrayAssignment / 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 MixedAssignment * @psalm-suppress MixedArrayAccess * @psalm-suppress MixedArrayAssignment * @psalm-suppress MixedArrayOffset / 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 $inc * @return void * @throws SodiumException * @psalm-suppress MixedArgument * @psalm-suppress MixedArrayAccess * @psalm-suppress MixedArrayAssignment / public static function increment_counter($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], $t); # S->t[1] += ( S->t[0] < inc ); if (self::flatten64($ctx[1][0]) < $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 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 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--;) { $ctx[3][$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 MixedArrayOffset / 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 * @throws TypeError / public static function SplFixedArrayToString(SplFixedArray $a) { /* * @var array<int, int\|string> $arr / $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 MixedAssignment * @psalm-suppress MixedArrayAccess * @psalm-suppress MixedArrayAssignment * @psalm-suppress MixedArrayOffset * @psalm-suppress MixedMethodCall / public static function contextToString(SplFixedArray $ctx) { $str = ''; /* @var array<int, array<int, int>> $ctxA / $ctxA = $ctx[0]->toArray(); # uint64_t h[8]; for ($i = 0; $i < 8; ++$i) { $str .= self::store32_le($ctxA[$i][1]); $str .= self::store32_le($ctxA[$i][0]); } # uint64_t t[2]; # uint64_t f[2]; for ($i = 1; $i < 3; ++$i) { $ctxA = $ctx[$i]->toArray(); $str .= self::store32_le($ctxA[0][1]); $str .= self::store32_le($ctxA[0][0]); $str .= self::store32_le($ctxA[1][1]); $str .= self::store32_le($ctxA[1][0]); } # uint8_t buf[2 128]; $str .= self::SplFixedArrayToString($ctx[3]); /** @var int $ctx4 / $ctx4 = (int) $ctx[4]; # size_t buflen; $str .= implode('', array( self::intToChr($ctx4 & 0xff), self::intToChr(($ctx4 >> 8) & 0xff), self::intToChr(($ctx4 >> 16) & 0xff), self::intToChr(($ctx4 >> 24) & 0xff), self::intToChr(($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 $string * @return SplFixedArray * @throws SodiumException * @throws TypeError * @psalm-suppress MixedArrayAssignment / public static function stringToContext($string) { $ctx = self::context(); # uint64_t h[8]; for ($i = 0; $i < 8; ++$i) { $ctx[0][$i] = SplFixedArray::fromArray( array( self::load_4( self::substr($string, (($i << 3) + 4), 4) ), self::load_4( self::substr($string, (($i << 3) + 0), 4) ) ) ); } # uint64_t t[2]; # uint64_t f[2]; for ($i = 1; $i < 3; ++$i) { $ctx[$i][1] = SplFixedArray::fromArray( array( self::load_4(self::substr($string, 76 + (($i - 1) << 4), 4)), self::load_4(self::substr($string, 72 + (($i - 1) << 4), 4)) ) ); $ctx[$i][0] = SplFixedArray::fromArray( array( self::load_4(self::substr($string, 68 + (($i - 1) << 4), 4)), self::load_4(self::substr($string, 64 + (($i - 1) << 4), 4)) ) ); } # 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; } }	23.63 KB	2025-09-05 13:25
📁 Base64	-	2025-09-05 13:25
📁 ChaCha20	-	2025-09-05 13:25
📄 ChaCha20.php <?php if (class_exists('ParagonIE_Sodium_Core_ChaCha20', false)) { return; } /** * Class ParagonIE_Sodium_Core_ChaCha20 / class ParagonIE_Sodium_Core_ChaCha20 extends ParagonIE_Sodium_Core_Util { /* * Bitwise left rotation * * @internal You should not use this directly from another application * * @param int $v * @param int $n * @return int / public static function rotate($v, $n) { $v &= 0xffffffff; $n &= 31; return (int) ( 0xffffffff & ( ($v << $n) \| ($v >> (32 - $n)) ) ); } /* * The ChaCha20 quarter round function. Works on four 32-bit integers. * * @internal You should not use this directly from another application * * @param int $a * @param int $b * @param int $c * @param int $d * @return array<int, int> / protected static function quarterRound($a, $b, $c, $d) { # a = PLUS(a,b); d = ROTATE(XOR(d,a),16); /* @var int $a / $a = ($a + $b) & 0xffffffff; $d = self::rotate($d ^ $a, 16); # c = PLUS(c,d); b = ROTATE(XOR(b,c),12); /* @var int $c / $c = ($c + $d) & 0xffffffff; $b = self::rotate($b ^ $c, 12); # a = PLUS(a,b); d = ROTATE(XOR(d,a), 8); /* @var int $a / $a = ($a + $b) & 0xffffffff; $d = self::rotate($d ^ $a, 8); # c = PLUS(c,d); b = ROTATE(XOR(b,c), 7); /* @var int $c / $c = ($c + $d) & 0xffffffff; $b = self::rotate($b ^ $c, 7); return array((int) $a, (int) $b, (int) $c, (int) $d); } /* * @internal You should not use this directly from another application * * @param ParagonIE_Sodium_Core_ChaCha20_Ctx $ctx * @param string $message * * @return string * @throws TypeError * @throws SodiumException / public static function encryptBytes( ParagonIE_Sodium_Core_ChaCha20_Ctx $ctx, $message = '' ) { $bytes = self::strlen($message); / 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]; / $j0 = (int) $ctx[0]; $j1 = (int) $ctx[1]; $j2 = (int) $ctx[2]; $j3 = (int) $ctx[3]; $j4 = (int) $ctx[4]; $j5 = (int) $ctx[5]; $j6 = (int) $ctx[6]; $j7 = (int) $ctx[7]; $j8 = (int) $ctx[8]; $j9 = (int) $ctx[9]; $j10 = (int) $ctx[10]; $j11 = (int) $ctx[11]; $j12 = (int) $ctx[12]; $j13 = (int) $ctx[13]; $j14 = (int) $ctx[14]; $j15 = (int) $ctx[15]; $c = ''; for (;;) { if ($bytes < 64) { $message .= str_repeat("\x00", 64 - $bytes); } $x0 = (int) $j0; $x1 = (int) $j1; $x2 = (int) $j2; $x3 = (int) $j3; $x4 = (int) $j4; $x5 = (int) $j5; $x6 = (int) $j6; $x7 = (int) $j7; $x8 = (int) $j8; $x9 = (int) $j9; $x10 = (int) $j10; $x11 = (int) $j11; $x12 = (int) $j12; $x13 = (int) $j13; $x14 = (int) $j14; $x15 = (int) $j15; # for (i = 20; i > 0; i -= 2) { for ($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); / /* @var int $x0 / $x0 = ($x0 & 0xffffffff) + $j0; /* @var int $x1 / $x1 = ($x1 & 0xffffffff) + $j1; /* @var int $x2 / $x2 = ($x2 & 0xffffffff) + $j2; /* @var int $x3 / $x3 = ($x3 & 0xffffffff) + $j3; /* @var int $x4 / $x4 = ($x4 & 0xffffffff) + $j4; /* @var int $x5 / $x5 = ($x5 & 0xffffffff) + $j5; /* @var int $x6 / $x6 = ($x6 & 0xffffffff) + $j6; /* @var int $x7 / $x7 = ($x7 & 0xffffffff) + $j7; /* @var int $x8 / $x8 = ($x8 & 0xffffffff) + $j8; /* @var int $x9 / $x9 = ($x9 & 0xffffffff) + $j9; /* @var int $x10 / $x10 = ($x10 & 0xffffffff) + $j10; /* @var int $x11 / $x11 = ($x11 & 0xffffffff) + $j11; /* @var int $x12 / $x12 = ($x12 & 0xffffffff) + $j12; /* @var int $x13 / $x13 = ($x13 & 0xffffffff) + $j13; /* @var int $x14 / $x14 = ($x14 & 0xffffffff) + $j14; /* @var int $x15 / $x15 = ($x15 & 0xffffffff) + $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)); / $x0 ^= self::load_4(self::substr($message, 0, 4)); $x1 ^= self::load_4(self::substr($message, 4, 4)); $x2 ^= self::load_4(self::substr($message, 8, 4)); $x3 ^= self::load_4(self::substr($message, 12, 4)); $x4 ^= self::load_4(self::substr($message, 16, 4)); $x5 ^= self::load_4(self::substr($message, 20, 4)); $x6 ^= self::load_4(self::substr($message, 24, 4)); $x7 ^= self::load_4(self::substr($message, 28, 4)); $x8 ^= self::load_4(self::substr($message, 32, 4)); $x9 ^= self::load_4(self::substr($message, 36, 4)); $x10 ^= self::load_4(self::substr($message, 40, 4)); $x11 ^= self::load_4(self::substr($message, 44, 4)); $x12 ^= self::load_4(self::substr($message, 48, 4)); $x13 ^= self::load_4(self::substr($message, 52, 4)); $x14 ^= self::load_4(self::substr($message, 56, 4)); $x15 ^= self::load_4(self::substr($message, 60, 4)); / j12 = PLUSONE(j12); if (!j12) { j13 = PLUSONE(j13); } / ++$j12; if ($j12 & 0xf0000000) { throw new SodiumException('Overflow'); } / 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); / $block = self::store32_le((int) ($x0 & 0xffffffff)) . self::store32_le((int) ($x1 & 0xffffffff)) . self::store32_le((int) ($x2 & 0xffffffff)) . self::store32_le((int) ($x3 & 0xffffffff)) . self::store32_le((int) ($x4 & 0xffffffff)) . self::store32_le((int) ($x5 & 0xffffffff)) . self::store32_le((int) ($x6 & 0xffffffff)) . self::store32_le((int) ($x7 & 0xffffffff)) . self::store32_le((int) ($x8 & 0xffffffff)) . self::store32_le((int) ($x9 & 0xffffffff)) . self::store32_le((int) ($x10 & 0xffffffff)) . self::store32_le((int) ($x11 & 0xffffffff)) . self::store32_le((int) ($x12 & 0xffffffff)) . self::store32_le((int) ($x13 & 0xffffffff)) . self::store32_le((int) ($x14 & 0xffffffff)) . self::store32_le((int) ($x15 & 0xffffffff)); / Partial block / if ($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 = '', $key = '') { return self::encryptBytes( new ParagonIE_Sodium_Core_ChaCha20_Ctx($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 = '', $key = '') { return self::encryptBytes( new ParagonIE_Sodium_Core_ChaCha20_IetfCtx($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 = '', $ic = '') { return self::encryptBytes( new ParagonIE_Sodium_Core_ChaCha20_IetfCtx($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 = '', $ic = '') { return self::encryptBytes( new ParagonIE_Sodium_Core_ChaCha20_Ctx($key, $nonce, $ic), $message ); } }	12.63 KB	2025-09-05 13:25
📁 Curve25519	-	2025-09-05 13:25
📄 Curve25519.php <?php if (class_exists('ParagonIE_Sodium_Core_Curve25519', false)) { return; } /** * Class ParagonIE_Sodium_Core_Curve25519 * * Implements Curve25519 core functions * * Based on the ref10 curve25519 code provided by libsodium * * @ref https://github.com/jedisct1/libsodium/blob/master/src/libsodium/crypto_core/curve25519/ref10/curve25519_ref10.c / abstract class ParagonIE_Sodium_Core_Curve25519 extends ParagonIE_Sodium_Core_Curve25519_H { /* * Get a field element of size 10 with a value of 0 * * @internal You should not use this directly from another application * * @return ParagonIE_Sodium_Core_Curve25519_Fe / public static function fe_0() { return ParagonIE_Sodium_Core_Curve25519_Fe::fromArray( array(0, 0, 0, 0, 0, 0, 0, 0, 0, 0) ); } /* * Get a field element of size 10 with a value of 1 * * @internal You should not use this directly from another application * * @return ParagonIE_Sodium_Core_Curve25519_Fe / public static function fe_1() { return ParagonIE_Sodium_Core_Curve25519_Fe::fromArray( array(1, 0, 0, 0, 0, 0, 0, 0, 0, 0) ); } /* * Add two field elements. * * @internal You should not use this directly from another application * * @param ParagonIE_Sodium_Core_Curve25519_Fe $f * @param ParagonIE_Sodium_Core_Curve25519_Fe $g * @return ParagonIE_Sodium_Core_Curve25519_Fe * @psalm-suppress MixedAssignment * @psalm-suppress MixedOperand / public static function fe_add( ParagonIE_Sodium_Core_Curve25519_Fe $f, ParagonIE_Sodium_Core_Curve25519_Fe $g ) { /* @var array<int, int> $arr / $arr = array(); for ($i = 0; $i < 10; ++$i) { $arr[$i] = (int) ($f[$i] + $g[$i]); } return ParagonIE_Sodium_Core_Curve25519_Fe::fromArray($arr); } /* * Constant-time conditional move. * * @internal You should not use this directly from another application * * @param ParagonIE_Sodium_Core_Curve25519_Fe $f * @param ParagonIE_Sodium_Core_Curve25519_Fe $g * @param int $b * @return ParagonIE_Sodium_Core_Curve25519_Fe * @psalm-suppress MixedAssignment / public static function fe_cmov( ParagonIE_Sodium_Core_Curve25519_Fe $f, ParagonIE_Sodium_Core_Curve25519_Fe $g, $b = 0 ) { /* @var array<int, int> $h / $h = array(); $b = -1; for ($i = 0; $i < 10; ++$i) { $x = (($f[$i] ^ $g[$i]) & $b); $h[$i] = ($f[$i]) ^ $x; } return ParagonIE_Sodium_Core_Curve25519_Fe::fromArray($h); } /** * Create a copy of a field element. * * @internal You should not use this directly from another application * * @param ParagonIE_Sodium_Core_Curve25519_Fe $f * @return ParagonIE_Sodium_Core_Curve25519_Fe / public static function fe_copy(ParagonIE_Sodium_Core_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 $s * @return ParagonIE_Sodium_Core_Curve25519_Fe * @throws RangeException * @throws TypeError / public static function fe_frombytes($s) { if (self::strlen($s) !== 32) { throw new RangeException('Expected a 32-byte string.'); } $h0 = self::load_4($s); $h1 = self::load_3(self::substr($s, 4, 3)) << 6; $h2 = self::load_3(self::substr($s, 7, 3)) << 5; $h3 = self::load_3(self::substr($s, 10, 3)) << 3; $h4 = self::load_3(self::substr($s, 13, 3)) << 2; $h5 = self::load_4(self::substr($s, 16, 4)); $h6 = self::load_3(self::substr($s, 20, 3)) << 7; $h7 = self::load_3(self::substr($s, 23, 3)) << 5; $h8 = self::load_3(self::substr($s, 26, 3)) << 4; $h9 = (self::load_3(self::substr($s, 29, 3)) & 8388607) << 2; $carry9 = ($h9 + (1 << 24)) >> 25; $h0 += self::mul($carry9, 19, 5); $h9 -= $carry9 << 25; $carry1 = ($h1 + (1 << 24)) >> 25; $h2 += $carry1; $h1 -= $carry1 << 25; $carry3 = ($h3 + (1 << 24)) >> 25; $h4 += $carry3; $h3 -= $carry3 << 25; $carry5 = ($h5 + (1 << 24)) >> 25; $h6 += $carry5; $h5 -= $carry5 << 25; $carry7 = ($h7 + (1 << 24)) >> 25; $h8 += $carry7; $h7 -= $carry7 << 25; $carry0 = ($h0 + (1 << 25)) >> 26; $h1 += $carry0; $h0 -= $carry0 << 26; $carry2 = ($h2 + (1 << 25)) >> 26; $h3 += $carry2; $h2 -= $carry2 << 26; $carry4 = ($h4 + (1 << 25)) >> 26; $h5 += $carry4; $h4 -= $carry4 << 26; $carry6 = ($h6 + (1 << 25)) >> 26; $h7 += $carry6; $h6 -= $carry6 << 26; $carry8 = ($h8 + (1 << 25)) >> 26; $h9 += $carry8; $h8 -= $carry8 << 26; return ParagonIE_Sodium_Core_Curve25519_Fe::fromArray( array( (int) $h0, (int) $h1, (int) $h2, (int) $h3, (int) $h4, (int) $h5, (int) $h6, (int) $h7, (int) $h8, (int) $h9 ) ); } /* * Convert a field element to a byte string. * * @internal You should not use this directly from another application * * @param ParagonIE_Sodium_Core_Curve25519_Fe $h * @return string / public static function fe_tobytes(ParagonIE_Sodium_Core_Curve25519_Fe $h) { $h0 = (int) $h[0]; $h1 = (int) $h[1]; $h2 = (int) $h[2]; $h3 = (int) $h[3]; $h4 = (int) $h[4]; $h5 = (int) $h[5]; $h6 = (int) $h[6]; $h7 = (int) $h[7]; $h8 = (int) $h[8]; $h9 = (int) $h[9]; $q = (self::mul($h9, 19, 5) + (1 << 24)) >> 25; $q = ($h0 + $q) >> 26; $q = ($h1 + $q) >> 25; $q = ($h2 + $q) >> 26; $q = ($h3 + $q) >> 25; $q = ($h4 + $q) >> 26; $q = ($h5 + $q) >> 25; $q = ($h6 + $q) >> 26; $q = ($h7 + $q) >> 25; $q = ($h8 + $q) >> 26; $q = ($h9 + $q) >> 25; $h0 += self::mul($q, 19, 5); $carry0 = $h0 >> 26; $h1 += $carry0; $h0 -= $carry0 << 26; $carry1 = $h1 >> 25; $h2 += $carry1; $h1 -= $carry1 << 25; $carry2 = $h2 >> 26; $h3 += $carry2; $h2 -= $carry2 << 26; $carry3 = $h3 >> 25; $h4 += $carry3; $h3 -= $carry3 << 25; $carry4 = $h4 >> 26; $h5 += $carry4; $h4 -= $carry4 << 26; $carry5 = $h5 >> 25; $h6 += $carry5; $h5 -= $carry5 << 25; $carry6 = $h6 >> 26; $h7 += $carry6; $h6 -= $carry6 << 26; $carry7 = $h7 >> 25; $h8 += $carry7; $h7 -= $carry7 << 25; $carry8 = $h8 >> 26; $h9 += $carry8; $h8 -= $carry8 << 26; $carry9 = $h9 >> 25; $h9 -= $carry9 << 25; /* * @var array<int, int> / $s = array( (int) (($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_Core_Curve25519_Fe $f * @return int * @throws SodiumException * @throws TypeError / public static function fe_isnegative(ParagonIE_Sodium_Core_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_Core_Curve25519_Fe $f * @return bool * @throws SodiumException * @throws TypeError / public static function fe_isnonzero(ParagonIE_Sodium_Core_Curve25519_Fe $f) { static $zero; if ($zero === null) { $zero = str_repeat("\x00", 32); } /* @var string $zero / /* @var string $str / $str = self::fe_tobytes($f); return !self::verify_32($str, (string) $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_Core_Curve25519_Fe $f * @param ParagonIE_Sodium_Core_Curve25519_Fe $g * @return ParagonIE_Sodium_Core_Curve25519_Fe / public static function fe_mul( ParagonIE_Sodium_Core_Curve25519_Fe $f, ParagonIE_Sodium_Core_Curve25519_Fe $g ) { // Ensure limbs aren't oversized. $f = self::fe_normalize($f); $g = self::fe_normalize($g); $f0 = $f[0]; $f1 = $f[1]; $f2 = $f[2]; $f3 = $f[3]; $f4 = $f[4]; $f5 = $f[5]; $f6 = $f[6]; $f7 = $f[7]; $f8 = $f[8]; $f9 = $f[9]; $g0 = $g[0]; $g1 = $g[1]; $g2 = $g[2]; $g3 = $g[3]; $g4 = $g[4]; $g5 = $g[5]; $g6 = $g[6]; $g7 = $g[7]; $g8 = $g[8]; $g9 = $g[9]; $g1_19 = self::mul($g1, 19, 5); $g2_19 = self::mul($g2, 19, 5); $g3_19 = self::mul($g3, 19, 5); $g4_19 = self::mul($g4, 19, 5); $g5_19 = self::mul($g5, 19, 5); $g6_19 = self::mul($g6, 19, 5); $g7_19 = self::mul($g7, 19, 5); $g8_19 = self::mul($g8, 19, 5); $g9_19 = self::mul($g9, 19, 5); $f1_2 = $f1 << 1; $f3_2 = $f3 << 1; $f5_2 = $f5 << 1; $f7_2 = $f7 << 1; $f9_2 = $f9 << 1; $f0g0 = self::mul($f0, $g0, 26); $f0g1 = self::mul($f0, $g1, 25); $f0g2 = self::mul($f0, $g2, 26); $f0g3 = self::mul($f0, $g3, 25); $f0g4 = self::mul($f0, $g4, 26); $f0g5 = self::mul($f0, $g5, 25); $f0g6 = self::mul($f0, $g6, 26); $f0g7 = self::mul($f0, $g7, 25); $f0g8 = self::mul($f0, $g8, 26); $f0g9 = self::mul($f0, $g9, 26); $f1g0 = self::mul($f1, $g0, 26); $f1g1_2 = self::mul($f1_2, $g1, 25); $f1g2 = self::mul($f1, $g2, 26); $f1g3_2 = self::mul($f1_2, $g3, 25); $f1g4 = self::mul($f1, $g4, 26); $f1g5_2 = self::mul($f1_2, $g5, 25); $f1g6 = self::mul($f1, $g6, 26); $f1g7_2 = self::mul($f1_2, $g7, 25); $f1g8 = self::mul($f1, $g8, 26); $f1g9_38 = self::mul($g9_19, $f1_2, 26); $f2g0 = self::mul($f2, $g0, 26); $f2g1 = self::mul($f2, $g1, 25); $f2g2 = self::mul($f2, $g2, 26); $f2g3 = self::mul($f2, $g3, 25); $f2g4 = self::mul($f2, $g4, 26); $f2g5 = self::mul($f2, $g5, 25); $f2g6 = self::mul($f2, $g6, 26); $f2g7 = self::mul($f2, $g7, 25); $f2g8_19 = self::mul($g8_19, $f2, 26); $f2g9_19 = self::mul($g9_19, $f2, 26); $f3g0 = self::mul($f3, $g0, 26); $f3g1_2 = self::mul($f3_2, $g1, 25); $f3g2 = self::mul($f3, $g2, 26); $f3g3_2 = self::mul($f3_2, $g3, 25); $f3g4 = self::mul($f3, $g4, 26); $f3g5_2 = self::mul($f3_2, $g5, 25); $f3g6 = self::mul($f3, $g6, 26); $f3g7_38 = self::mul($g7_19, $f3_2, 26); $f3g8_19 = self::mul($g8_19, $f3, 25); $f3g9_38 = self::mul($g9_19, $f3_2, 26); $f4g0 = self::mul($f4, $g0, 26); $f4g1 = self::mul($f4, $g1, 25); $f4g2 = self::mul($f4, $g2, 26); $f4g3 = self::mul($f4, $g3, 25); $f4g4 = self::mul($f4, $g4, 26); $f4g5 = self::mul($f4, $g5, 25); $f4g6_19 = self::mul($g6_19, $f4, 26); $f4g7_19 = self::mul($g7_19, $f4, 26); $f4g8_19 = self::mul($g8_19, $f4, 26); $f4g9_19 = self::mul($g9_19, $f4, 26); $f5g0 = self::mul($f5, $g0, 26); $f5g1_2 = self::mul($f5_2, $g1, 25); $f5g2 = self::mul($f5, $g2, 26); $f5g3_2 = self::mul($f5_2, $g3, 25); $f5g4 = self::mul($f5, $g4, 26); $f5g5_38 = self::mul($g5_19, $f5_2, 26); $f5g6_19 = self::mul($g6_19, $f5, 25); $f5g7_38 = self::mul($g7_19, $f5_2, 26); $f5g8_19 = self::mul($g8_19, $f5, 25); $f5g9_38 = self::mul($g9_19, $f5_2, 26); $f6g0 = self::mul($f6, $g0, 26); $f6g1 = self::mul($f6, $g1, 25); $f6g2 = self::mul($f6, $g2, 26); $f6g3 = self::mul($f6, $g3, 25); $f6g4_19 = self::mul($g4_19, $f6, 26); $f6g5_19 = self::mul($g5_19, $f6, 26); $f6g6_19 = self::mul($g6_19, $f6, 26); $f6g7_19 = self::mul($g7_19, $f6, 26); $f6g8_19 = self::mul($g8_19, $f6, 26); $f6g9_19 = self::mul($g9_19, $f6, 26); $f7g0 = self::mul($f7, $g0, 26); $f7g1_2 = self::mul($f7_2, $g1, 25); $f7g2 = self::mul($f7, $g2, 26); $f7g3_38 = self::mul($g3_19, $f7_2, 26); $f7g4_19 = self::mul($g4_19, $f7, 26); $f7g5_38 = self::mul($g5_19, $f7_2, 26); $f7g6_19 = self::mul($g6_19, $f7, 25); $f7g7_38 = self::mul($g7_19, $f7_2, 26); $f7g8_19 = self::mul($g8_19, $f7, 25); $f7g9_38 = self::mul($g9_19,$f7_2, 26); $f8g0 = self::mul($f8, $g0, 26); $f8g1 = self::mul($f8, $g1, 25); $f8g2_19 = self::mul($g2_19, $f8, 26); $f8g3_19 = self::mul($g3_19, $f8, 26); $f8g4_19 = self::mul($g4_19, $f8, 26); $f8g5_19 = self::mul($g5_19, $f8, 26); $f8g6_19 = self::mul($g6_19, $f8, 26); $f8g7_19 = self::mul($g7_19, $f8, 26); $f8g8_19 = self::mul($g8_19, $f8, 26); $f8g9_19 = self::mul($g9_19, $f8, 26); $f9g0 = self::mul($f9, $g0, 26); $f9g1_38 = self::mul($g1_19, $f9_2, 26); $f9g2_19 = self::mul($g2_19, $f9, 25); $f9g3_38 = self::mul($g3_19, $f9_2, 26); $f9g4_19 = self::mul($g4_19, $f9, 25); $f9g5_38 = self::mul($g5_19, $f9_2, 26); $f9g6_19 = self::mul($g6_19, $f9, 25); $f9g7_38 = self::mul($g7_19, $f9_2, 26); $f9g8_19 = self::mul($g8_19, $f9, 25); $f9g9_38 = self::mul($g9_19, $f9_2, 26); $h0 = $f0g0 + $f1g9_38 + $f2g8_19 + $f3g7_38 + $f4g6_19 + $f5g5_38 + $f6g4_19 + $f7g3_38 + $f8g2_19 + $f9g1_38; $h1 = $f0g1 + $f1g0 + $f2g9_19 + $f3g8_19 + $f4g7_19 + $f5g6_19 + $f6g5_19 + $f7g4_19 + $f8g3_19 + $f9g2_19; $h2 = $f0g2 + $f1g1_2 + $f2g0 + $f3g9_38 + $f4g8_19 + $f5g7_38 + $f6g6_19 + $f7g5_38 + $f8g4_19 + $f9g3_38; $h3 = $f0g3 + $f1g2 + $f2g1 + $f3g0 + $f4g9_19 + $f5g8_19 + $f6g7_19 + $f7g6_19 + $f8g5_19 + $f9g4_19; $h4 = $f0g4 + $f1g3_2 + $f2g2 + $f3g1_2 + $f4g0 + $f5g9_38 + $f6g8_19 + $f7g7_38 + $f8g6_19 + $f9g5_38; $h5 = $f0g5 + $f1g4 + $f2g3 + $f3g2 + $f4g1 + $f5g0 + $f6g9_19 + $f7g8_19 + $f8g7_19 + $f9g6_19; $h6 = $f0g6 + $f1g5_2 + $f2g4 + $f3g3_2 + $f4g2 + $f5g1_2 + $f6g0 + $f7g9_38 + $f8g8_19 + $f9g7_38; $h7 = $f0g7 + $f1g6 + $f2g5 + $f3g4 + $f4g3 + $f5g2 + $f6g1 + $f7g0 + $f8g9_19 + $f9g8_19; $h8 = $f0g8 + $f1g7_2 + $f2g6 + $f3g5_2 + $f4g4 + $f5g3_2 + $f6g2 + $f7g1_2 + $f8g0 + $f9g9_38; $h9 = $f0g9 + $f1g8 + $f2g7 + $f3g6 + $f4g5 + $f5g4 + $f6g3 + $f7g2 + $f8g1 + $f9g0 ; $carry0 = ($h0 + (1 << 25)) >> 26; $h1 += $carry0; $h0 -= $carry0 << 26; $carry4 = ($h4 + (1 << 25)) >> 26; $h5 += $carry4; $h4 -= $carry4 << 26; $carry1 = ($h1 + (1 << 24)) >> 25; $h2 += $carry1; $h1 -= $carry1 << 25; $carry5 = ($h5 + (1 << 24)) >> 25; $h6 += $carry5; $h5 -= $carry5 << 25; $carry2 = ($h2 + (1 << 25)) >> 26; $h3 += $carry2; $h2 -= $carry2 << 26; $carry6 = ($h6 + (1 << 25)) >> 26; $h7 += $carry6; $h6 -= $carry6 << 26; $carry3 = ($h3 + (1 << 24)) >> 25; $h4 += $carry3; $h3 -= $carry3 << 25; $carry7 = ($h7 + (1 << 24)) >> 25; $h8 += $carry7; $h7 -= $carry7 << 25; $carry4 = ($h4 + (1 << 25)) >> 26; $h5 += $carry4; $h4 -= $carry4 << 26; $carry8 = ($h8 + (1 << 25)) >> 26; $h9 += $carry8; $h8 -= $carry8 << 26; $carry9 = ($h9 + (1 << 24)) >> 25; $h0 += self::mul($carry9, 19, 5); $h9 -= $carry9 << 25; $carry0 = ($h0 + (1 << 25)) >> 26; $h1 += $carry0; $h0 -= $carry0 << 26; return self::fe_normalize( ParagonIE_Sodium_Core_Curve25519_Fe::fromArray( array( (int) $h0, (int) $h1, (int) $h2, (int) $h3, (int) $h4, (int) $h5, (int) $h6, (int) $h7, (int) $h8, (int) $h9 ) ) ); } /* * 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_Core_Curve25519_Fe $f * @return ParagonIE_Sodium_Core_Curve25519_Fe * @psalm-suppress MixedAssignment / public static function fe_neg(ParagonIE_Sodium_Core_Curve25519_Fe $f) { $h = new ParagonIE_Sodium_Core_Curve25519_Fe(); for ($i = 0; $i < 10; ++$i) { $h[$i] = -$f[$i]; } return self::fe_normalize($h); } /* * Square a field element * * h = f * f * * @internal You should not use this directly from another application * * @param ParagonIE_Sodium_Core_Curve25519_Fe $f * @return ParagonIE_Sodium_Core_Curve25519_Fe / public static function fe_sq(ParagonIE_Sodium_Core_Curve25519_Fe $f) { $f = self::fe_normalize($f); $f0 = (int) $f[0]; $f1 = (int) $f[1]; $f2 = (int) $f[2]; $f3 = (int) $f[3]; $f4 = (int) $f[4]; $f5 = (int) $f[5]; $f6 = (int) $f[6]; $f7 = (int) $f[7]; $f8 = (int) $f[8]; $f9 = (int) $f[9]; $f0_2 = $f0 << 1; $f1_2 = $f1 << 1; $f2_2 = $f2 << 1; $f3_2 = $f3 << 1; $f4_2 = $f4 << 1; $f5_2 = $f5 << 1; $f6_2 = $f6 << 1; $f7_2 = $f7 << 1; $f5_38 = self::mul($f5, 38, 6); $f6_19 = self::mul($f6, 19, 5); $f7_38 = self::mul($f7, 38, 6); $f8_19 = self::mul($f8, 19, 5); $f9_38 = self::mul($f9, 38, 6); $f0f0 = self::mul($f0, $f0, 26); $f0f1_2 = self::mul($f0_2, $f1, 26); $f0f2_2 = self::mul($f0_2, $f2, 26); $f0f3_2 = self::mul($f0_2, $f3, 26); $f0f4_2 = self::mul($f0_2, $f4, 26); $f0f5_2 = self::mul($f0_2, $f5, 26); $f0f6_2 = self::mul($f0_2, $f6, 26); $f0f7_2 = self::mul($f0_2, $f7, 26); $f0f8_2 = self::mul($f0_2, $f8, 26); $f0f9_2 = self::mul($f0_2, $f9, 26); $f1f1_2 = self::mul($f1_2, $f1, 26); $f1f2_2 = self::mul($f1_2, $f2, 26); $f1f3_4 = self::mul($f1_2, $f3_2, 26); $f1f4_2 = self::mul($f1_2, $f4, 26); $f1f5_4 = self::mul($f1_2, $f5_2, 26); $f1f6_2 = self::mul($f1_2, $f6, 26); $f1f7_4 = self::mul($f1_2, $f7_2, 26); $f1f8_2 = self::mul($f1_2, $f8, 26); $f1f9_76 = self::mul($f9_38, $f1_2, 27); $f2f2 = self::mul($f2, $f2, 27); $f2f3_2 = self::mul($f2_2, $f3, 27); $f2f4_2 = self::mul($f2_2, $f4, 27); $f2f5_2 = self::mul($f2_2, $f5, 27); $f2f6_2 = self::mul($f2_2, $f6, 27); $f2f7_2 = self::mul($f2_2, $f7, 27); $f2f8_38 = self::mul($f8_19, $f2_2, 27); $f2f9_38 = self::mul($f9_38, $f2, 26); $f3f3_2 = self::mul($f3_2, $f3, 26); $f3f4_2 = self::mul($f3_2, $f4, 26); $f3f5_4 = self::mul($f3_2, $f5_2, 26); $f3f6_2 = self::mul($f3_2, $f6, 26); $f3f7_76 = self::mul($f7_38, $f3_2, 26); $f3f8_38 = self::mul($f8_19, $f3_2, 26); $f3f9_76 = self::mul($f9_38, $f3_2, 26); $f4f4 = self::mul($f4, $f4, 26); $f4f5_2 = self::mul($f4_2, $f5, 26); $f4f6_38 = self::mul($f6_19, $f4_2, 27); $f4f7_38 = self::mul($f7_38, $f4, 26); $f4f8_38 = self::mul($f8_19, $f4_2, 27); $f4f9_38 = self::mul($f9_38, $f4, 26); $f5f5_38 = self::mul($f5_38, $f5, 26); $f5f6_38 = self::mul($f6_19, $f5_2, 26); $f5f7_76 = self::mul($f7_38, $f5_2, 26); $f5f8_38 = self::mul($f8_19, $f5_2, 26); $f5f9_76 = self::mul($f9_38, $f5_2, 26); $f6f6_19 = self::mul($f6_19, $f6, 26); $f6f7_38 = self::mul($f7_38, $f6, 26); $f6f8_38 = self::mul($f8_19, $f6_2, 27); $f6f9_38 = self::mul($f9_38, $f6, 26); $f7f7_38 = self::mul($f7_38, $f7, 26); $f7f8_38 = self::mul($f8_19, $f7_2, 26); $f7f9_76 = self::mul($f9_38, $f7_2, 26); $f8f8_19 = self::mul($f8_19, $f8, 26); $f8f9_38 = self::mul($f9_38, $f8, 26); $f9f9_38 = self::mul($f9_38, $f9, 26); $h0 = $f0f0 + $f1f9_76 + $f2f8_38 + $f3f7_76 + $f4f6_38 + $f5f5_38; $h1 = $f0f1_2 + $f2f9_38 + $f3f8_38 + $f4f7_38 + $f5f6_38; $h2 = $f0f2_2 + $f1f1_2 + $f3f9_76 + $f4f8_38 + $f5f7_76 + $f6f6_19; $h3 = $f0f3_2 + $f1f2_2 + $f4f9_38 + $f5f8_38 + $f6f7_38; $h4 = $f0f4_2 + $f1f3_4 + $f2f2 + $f5f9_76 + $f6f8_38 + $f7f7_38; $h5 = $f0f5_2 + $f1f4_2 + $f2f3_2 + $f6f9_38 + $f7f8_38; $h6 = $f0f6_2 + $f1f5_4 + $f2f4_2 + $f3f3_2 + $f7f9_76 + $f8f8_19; $h7 = $f0f7_2 + $f1f6_2 + $f2f5_2 + $f3f4_2 + $f8f9_38; $h8 = $f0f8_2 + $f1f7_4 + $f2f6_2 + $f3f5_4 + $f4f4 + $f9f9_38; $h9 = $f0f9_2 + $f1f8_2 + $f2f7_2 + $f3f6_2 + $f4f5_2; $carry0 = ($h0 + (1 << 25)) >> 26; $h1 += $carry0; $h0 -= $carry0 << 26; $carry4 = ($h4 + (1 << 25)) >> 26; $h5 += $carry4; $h4 -= $carry4 << 26; $carry1 = ($h1 + (1 << 24)) >> 25; $h2 += $carry1; $h1 -= $carry1 << 25; $carry5 = ($h5 + (1 << 24)) >> 25; $h6 += $carry5; $h5 -= $carry5 << 25; $carry2 = ($h2 + (1 << 25)) >> 26; $h3 += $carry2; $h2 -= $carry2 << 26; $carry6 = ($h6 + (1 << 25)) >> 26; $h7 += $carry6; $h6 -= $carry6 << 26; $carry3 = ($h3 + (1 << 24)) >> 25; $h4 += $carry3; $h3 -= $carry3 << 25; $carry7 = ($h7 + (1 << 24)) >> 25; $h8 += $carry7; $h7 -= $carry7 << 25; $carry4 = ($h4 + (1 << 25)) >> 26; $h5 += $carry4; $h4 -= $carry4 << 26; $carry8 = ($h8 + (1 << 25)) >> 26; $h9 += $carry8; $h8 -= $carry8 << 26; $carry9 = ($h9 + (1 << 24)) >> 25; $h0 += self::mul($carry9, 19, 5); $h9 -= $carry9 << 25; $carry0 = ($h0 + (1 << 25)) >> 26; $h1 += $carry0; $h0 -= $carry0 << 26; return self::fe_normalize( ParagonIE_Sodium_Core_Curve25519_Fe::fromArray( array( (int) $h0, (int) $h1, (int) $h2, (int) $h3, (int) $h4, (int) $h5, (int) $h6, (int) $h7, (int) $h8, (int) $h9 ) ) ); } /* * Square and double a field element * * h = 2 * f * f * * @internal You should not use this directly from another application * * @param ParagonIE_Sodium_Core_Curve25519_Fe $f * @return ParagonIE_Sodium_Core_Curve25519_Fe / public static function fe_sq2(ParagonIE_Sodium_Core_Curve25519_Fe $f) { $f = self::fe_normalize($f); $f0 = (int) $f[0]; $f1 = (int) $f[1]; $f2 = (int) $f[2]; $f3 = (int) $f[3]; $f4 = (int) $f[4]; $f5 = (int) $f[5]; $f6 = (int) $f[6]; $f7 = (int) $f[7]; $f8 = (int) $f[8]; $f9 = (int) $f[9]; $f0_2 = $f0 << 1; $f1_2 = $f1 << 1; $f2_2 = $f2 << 1; $f3_2 = $f3 << 1; $f4_2 = $f4 << 1; $f5_2 = $f5 << 1; $f6_2 = $f6 << 1; $f7_2 = $f7 << 1; $f5_38 = self::mul($f5, 38, 6); / 1.9593752^30 / $f6_19 = self::mul($f6, 19, 5); /* 1.9593752^30 / $f7_38 = self::mul($f7, 38, 6); /* 1.9593752^30 / $f8_19 = self::mul($f8, 19, 5); /* 1.9593752^30 / $f9_38 = self::mul($f9, 38, 6); /* 1.9593752^30 / $f0f0 = self::mul($f0, $f0, 24); $f0f1_2 = self::mul($f0_2, $f1, 24); $f0f2_2 = self::mul($f0_2, $f2, 24); $f0f3_2 = self::mul($f0_2, $f3, 24); $f0f4_2 = self::mul($f0_2, $f4, 24); $f0f5_2 = self::mul($f0_2, $f5, 24); $f0f6_2 = self::mul($f0_2, $f6, 24); $f0f7_2 = self::mul($f0_2, $f7, 24); $f0f8_2 = self::mul($f0_2, $f8, 24); $f0f9_2 = self::mul($f0_2, $f9, 24); $f1f1_2 = self::mul($f1_2, $f1, 24); $f1f2_2 = self::mul($f1_2, $f2, 24); $f1f3_4 = self::mul($f1_2, $f3_2, 24); $f1f4_2 = self::mul($f1_2, $f4, 24); $f1f5_4 = self::mul($f1_2, $f5_2, 24); $f1f6_2 = self::mul($f1_2, $f6, 24); $f1f7_4 = self::mul($f1_2, $f7_2, 24); $f1f8_2 = self::mul($f1_2, $f8, 24); $f1f9_76 = self::mul($f9_38, $f1_2, 24); $f2f2 = self::mul($f2, $f2, 24); $f2f3_2 = self::mul($f2_2, $f3, 24); $f2f4_2 = self::mul($f2_2, $f4, 24); $f2f5_2 = self::mul($f2_2, $f5, 24); $f2f6_2 = self::mul($f2_2, $f6, 24); $f2f7_2 = self::mul($f2_2, $f7, 24); $f2f8_38 = self::mul($f8_19, $f2_2, 25); $f2f9_38 = self::mul($f9_38, $f2, 24); $f3f3_2 = self::mul($f3_2, $f3, 24); $f3f4_2 = self::mul($f3_2, $f4, 24); $f3f5_4 = self::mul($f3_2, $f5_2, 24); $f3f6_2 = self::mul($f3_2, $f6, 24); $f3f7_76 = self::mul($f7_38, $f3_2, 24); $f3f8_38 = self::mul($f8_19, $f3_2, 24); $f3f9_76 = self::mul($f9_38, $f3_2, 24); $f4f4 = self::mul($f4, $f4, 24); $f4f5_2 = self::mul($f4_2, $f5, 24); $f4f6_38 = self::mul($f6_19, $f4_2, 25); $f4f7_38 = self::mul($f7_38, $f4, 24); $f4f8_38 = self::mul($f8_19, $f4_2, 25); $f4f9_38 = self::mul($f9_38, $f4, 24); $f5f5_38 = self::mul($f5_38, $f5, 24); $f5f6_38 = self::mul($f6_19, $f5_2, 24); $f5f7_76 = self::mul($f7_38, $f5_2, 24); $f5f8_38 = self::mul($f8_19, $f5_2, 24); $f5f9_76 = self::mul($f9_38, $f5_2, 24); $f6f6_19 = self::mul($f6_19, $f6, 24); $f6f7_38 = self::mul($f7_38, $f6, 24); $f6f8_38 = self::mul($f8_19, $f6_2, 25); $f6f9_38 = self::mul($f9_38, $f6, 24); $f7f7_38 = self::mul($f7_38, $f7, 24); $f7f8_38 = self::mul($f8_19, $f7_2, 24); $f7f9_76 = self::mul($f9_38, $f7_2, 24); $f8f8_19 = self::mul($f8_19, $f8, 24); $f8f9_38 = self::mul($f9_38, $f8, 24); $f9f9_38 = self::mul($f9_38, $f9, 24); $h0 = (int) ($f0f0 + $f1f9_76 + $f2f8_38 + $f3f7_76 + $f4f6_38 + $f5f5_38) << 1; $h1 = (int) ($f0f1_2 + $f2f9_38 + $f3f8_38 + $f4f7_38 + $f5f6_38) << 1; $h2 = (int) ($f0f2_2 + $f1f1_2 + $f3f9_76 + $f4f8_38 + $f5f7_76 + $f6f6_19) << 1; $h3 = (int) ($f0f3_2 + $f1f2_2 + $f4f9_38 + $f5f8_38 + $f6f7_38) << 1; $h4 = (int) ($f0f4_2 + $f1f3_4 + $f2f2 + $f5f9_76 + $f6f8_38 + $f7f7_38) << 1; $h5 = (int) ($f0f5_2 + $f1f4_2 + $f2f3_2 + $f6f9_38 + $f7f8_38) << 1; $h6 = (int) ($f0f6_2 + $f1f5_4 + $f2f4_2 + $f3f3_2 + $f7f9_76 + $f8f8_19) << 1; $h7 = (int) ($f0f7_2 + $f1f6_2 + $f2f5_2 + $f3f4_2 + $f8f9_38) << 1; $h8 = (int) ($f0f8_2 + $f1f7_4 + $f2f6_2 + $f3f5_4 + $f4f4 + $f9f9_38) << 1; $h9 = (int) ($f0f9_2 + $f1f8_2 + $f2f7_2 + $f3f6_2 + $f4f5_2) << 1; $carry0 = ($h0 + (1 << 25)) >> 26; $h1 += $carry0; $h0 -= $carry0 << 26; $carry4 = ($h4 + (1 << 25)) >> 26; $h5 += $carry4; $h4 -= $carry4 << 26; $carry1 = ($h1 + (1 << 24)) >> 25; $h2 += $carry1; $h1 -= $carry1 << 25; $carry5 = ($h5 + (1 << 24)) >> 25; $h6 += $carry5; $h5 -= $carry5 << 25; $carry2 = ($h2 + (1 << 25)) >> 26; $h3 += $carry2; $h2 -= $carry2 << 26; $carry6 = ($h6 + (1 << 25)) >> 26; $h7 += $carry6; $h6 -= $carry6 << 26; $carry3 = ($h3 + (1 << 24)) >> 25; $h4 += $carry3; $h3 -= $carry3 << 25; $carry7 = ($h7 + (1 << 24)) >> 25; $h8 += $carry7; $h7 -= $carry7 << 25; $carry4 = ($h4 + (1 << 25)) >> 26; $h5 += $carry4; $h4 -= $carry4 << 26; $carry8 = ($h8 + (1 << 25)) >> 26; $h9 += $carry8; $h8 -= $carry8 << 26; $carry9 = ($h9 + (1 << 24)) >> 25; $h0 += self::mul($carry9, 19, 5); $h9 -= $carry9 << 25; $carry0 = ($h0 + (1 << 25)) >> 26; $h1 += $carry0; $h0 -= $carry0 << 26; return self::fe_normalize( ParagonIE_Sodium_Core_Curve25519_Fe::fromArray( array( (int) $h0, (int) $h1, (int) $h2, (int) $h3, (int) $h4, (int) $h5, (int) $h6, (int) $h7, (int) $h8, (int) $h9 ) ) ); } /** * @internal You should not use this directly from another application * * @param ParagonIE_Sodium_Core_Curve25519_Fe $Z * @return ParagonIE_Sodium_Core_Curve25519_Fe / public static function fe_invert(ParagonIE_Sodium_Core_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_Core_Curve25519_Fe $z * @return ParagonIE_Sodium_Core_Curve25519_Fe / public static function fe_pow22523(ParagonIE_Sodium_Core_Curve25519_Fe $z) { $z = self::fe_normalize($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 1.12^25,1.12^24,1.12^25,1.12^24,etc. * \|g\| bounded by 1.12^25,1.12^24,1.12^25,1.12^24,etc. * * Postconditions: * \|h\| bounded by 1.12^26,1.12^25,1.12^26,1.12^25,etc. * * @internal You should not use this directly from another application * * @param ParagonIE_Sodium_Core_Curve25519_Fe $f * @param ParagonIE_Sodium_Core_Curve25519_Fe $g * @return ParagonIE_Sodium_Core_Curve25519_Fe * @psalm-suppress MixedOperand / public static function fe_sub(ParagonIE_Sodium_Core_Curve25519_Fe $f, ParagonIE_Sodium_Core_Curve25519_Fe $g) { return self::fe_normalize( ParagonIE_Sodium_Core_Curve25519_Fe::fromArray( array( (int) ($f[0] - $g[0]), (int) ($f[1] - $g[1]), (int) ($f[2] - $g[2]), (int) ($f[3] - $g[3]), (int) ($f[4] - $g[4]), (int) ($f[5] - $g[5]), (int) ($f[6] - $g[6]), (int) ($f[7] - $g[7]), (int) ($f[8] - $g[8]), (int) ($f[9] - $g[9]) ) ) ); } /* * Add two group elements. * * r = p + q * * @internal You should not use this directly from another application * * @param ParagonIE_Sodium_Core_Curve25519_Ge_P3 $p * @param ParagonIE_Sodium_Core_Curve25519_Ge_Cached $q * @return ParagonIE_Sodium_Core_Curve25519_Ge_P1p1 / public static function ge_add( ParagonIE_Sodium_Core_Curve25519_Ge_P3 $p, ParagonIE_Sodium_Core_Curve25519_Ge_Cached $q ) { $r = new ParagonIE_Sodium_Core_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 $a * @return array<int, mixed> * @throws SodiumException * @throws TypeError / public static function slide($a) { if (self::strlen($a) < 256) { if (self::strlen($a) < 16) { $a = str_pad($a, 256, '0', STR_PAD_RIGHT); } } /* @var array<int, int> $r / $r = array(); /* @var int $i / for ($i = 0; $i < 256; ++$i) { $r[$i] = (int) ( 1 & ( self::chrToInt($a[(int) ($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 $s * @return ParagonIE_Sodium_Core_Curve25519_Ge_P3 * @throws SodiumException * @throws TypeError / public static function ge_frombytes_negate_vartime($s) { static $d = null; if (!$d) { $d = ParagonIE_Sodium_Core_Curve25519_Fe::fromArray(self::$d); } # fe_frombytes(h->Y,s); # fe_1(h->Z); $h = new ParagonIE_Sodium_Core_Curve25519_Ge_P3( self::fe_0(), self::fe_frombytes($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_Core_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( $h->X, ParagonIE_Sodium_Core_Curve25519_Fe::fromArray(self::$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_Core_Curve25519_Ge_P1p1 $R * @param ParagonIE_Sodium_Core_Curve25519_Ge_P3 $p * @param ParagonIE_Sodium_Core_Curve25519_Ge_Precomp $q * @return ParagonIE_Sodium_Core_Curve25519_Ge_P1p1 / public static function ge_madd( ParagonIE_Sodium_Core_Curve25519_Ge_P1p1 $R, ParagonIE_Sodium_Core_Curve25519_Ge_P3 $p, ParagonIE_Sodium_Core_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_Core_Curve25519_Ge_P1p1 $R * @param ParagonIE_Sodium_Core_Curve25519_Ge_P3 $p * @param ParagonIE_Sodium_Core_Curve25519_Ge_Precomp $q * @return ParagonIE_Sodium_Core_Curve25519_Ge_P1p1 / public static function ge_msub( ParagonIE_Sodium_Core_Curve25519_Ge_P1p1 $R, ParagonIE_Sodium_Core_Curve25519_Ge_P3 $p, ParagonIE_Sodium_Core_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_Core_Curve25519_Ge_P1p1 $p * @return ParagonIE_Sodium_Core_Curve25519_Ge_P2 / public static function ge_p1p1_to_p2(ParagonIE_Sodium_Core_Curve25519_Ge_P1p1 $p) { $r = new ParagonIE_Sodium_Core_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_Core_Curve25519_Ge_P1p1 $p * @return ParagonIE_Sodium_Core_Curve25519_Ge_P3 / public static function ge_p1p1_to_p3(ParagonIE_Sodium_Core_Curve25519_Ge_P1p1 $p) { $r = new ParagonIE_Sodium_Core_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_Core_Curve25519_Ge_P2 / public static function ge_p2_0() { return new ParagonIE_Sodium_Core_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_Core_Curve25519_Ge_P2 $p * @return ParagonIE_Sodium_Core_Curve25519_Ge_P1p1 / public static function ge_p2_dbl(ParagonIE_Sodium_Core_Curve25519_Ge_P2 $p) { $r = new ParagonIE_Sodium_Core_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_Core_Curve25519_Ge_P3 / public static function ge_p3_0() { return new ParagonIE_Sodium_Core_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_Core_Curve25519_Ge_P3 $p * @return ParagonIE_Sodium_Core_Curve25519_Ge_Cached / public static function ge_p3_to_cached(ParagonIE_Sodium_Core_Curve25519_Ge_P3 $p) { static $d2 = null; if ($d2 === null) { $d2 = ParagonIE_Sodium_Core_Curve25519_Fe::fromArray(self::$d2); } /* @var ParagonIE_Sodium_Core_Curve25519_Fe $d2 / $r = new ParagonIE_Sodium_Core_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_Core_Curve25519_Ge_P3 $p * @return ParagonIE_Sodium_Core_Curve25519_Ge_P2 / public static function ge_p3_to_p2(ParagonIE_Sodium_Core_Curve25519_Ge_P3 $p) { return new ParagonIE_Sodium_Core_Curve25519_Ge_P2( self::fe_copy($p->X), self::fe_copy($p->Y), self::fe_copy($p->Z) ); } /* * @internal You should not use this directly from another application * * @param ParagonIE_Sodium_Core_Curve25519_Ge_P3 $h * @return string * @throws SodiumException * @throws TypeError / public static function ge_p3_tobytes(ParagonIE_Sodium_Core_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_Core_Curve25519_Ge_P3 $p * @return ParagonIE_Sodium_Core_Curve25519_Ge_P1p1 / public static function ge_p3_dbl(ParagonIE_Sodium_Core_Curve25519_Ge_P3 $p) { $q = self::ge_p3_to_p2($p); return self::ge_p2_dbl($q); } /* * @return ParagonIE_Sodium_Core_Curve25519_Ge_Precomp / public static function ge_precomp_0() { return new ParagonIE_Sodium_Core_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 $c * @return int / public static function equal($b, $c) { return (int) ((($b ^ $c) - 1) >> 31) & 1; } /* * @internal You should not use this directly from another application * * @param int\|string $char * @return int (1 = yes, 0 = no) * @throws SodiumException * @throws TypeError / public static function negative($char) { if (is_int($char)) { return ($char >> 63) & 1; } $x = self::chrToInt(self::substr($char, 0, 1)); return (int) ($x >> 63); } /* * Conditional move * * @internal You should not use this directly from another application * * @param ParagonIE_Sodium_Core_Curve25519_Ge_Precomp $t * @param ParagonIE_Sodium_Core_Curve25519_Ge_Precomp $u * @param int $b * @return ParagonIE_Sodium_Core_Curve25519_Ge_Precomp / public static function cmov( ParagonIE_Sodium_Core_Curve25519_Ge_Precomp $t, ParagonIE_Sodium_Core_Curve25519_Ge_Precomp $u, $b ) { if (!is_int($b)) { throw new InvalidArgumentException('Expected an integer.'); } return new ParagonIE_Sodium_Core_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) ); } /* * @param ParagonIE_Sodium_Core_Curve25519_Ge_Cached $t * @param ParagonIE_Sodium_Core_Curve25519_Ge_Cached $u * @param int $b * @return ParagonIE_Sodium_Core_Curve25519_Ge_Cached / public static function ge_cmov_cached( ParagonIE_Sodium_Core_Curve25519_Ge_Cached $t, ParagonIE_Sodium_Core_Curve25519_Ge_Cached $u, $b ) { $b &= 1; $ret = new ParagonIE_Sodium_Core_Curve25519_Ge_Cached(); $ret->YplusX = self::fe_cmov($t->YplusX, $u->YplusX, $b); $ret->YminusX = self::fe_cmov($t->YminusX, $u->YminusX, $b); $ret->Z = self::fe_cmov($t->Z, $u->Z, $b); $ret->T2d = self::fe_cmov($t->T2d, $u->T2d, $b); return $ret; } /* * @param ParagonIE_Sodium_Core_Curve25519_Ge_Cached[] $cached * @param int $b * @return ParagonIE_Sodium_Core_Curve25519_Ge_Cached * @throws SodiumException / public static function ge_cmov8_cached(array $cached, $b) { // const unsigned char bnegative = negative(b); // const unsigned char babs = b - (((-bnegative) & b) ((signed char) 1 << 1)); $bnegative = self::negative($b); $babs = $b - (((-$bnegative) & $b) << 1); // ge25519_cached_0(t); $t = new ParagonIE_Sodium_Core_Curve25519_Ge_Cached( self::fe_1(), self::fe_1(), self::fe_1(), self::fe_0() ); // ge25519_cmov_cached(t, &cached[0], equal(babs, 1)); // ge25519_cmov_cached(t, &cached[1], equal(babs, 2)); // ge25519_cmov_cached(t, &cached[2], equal(babs, 3)); // ge25519_cmov_cached(t, &cached[3], equal(babs, 4)); // ge25519_cmov_cached(t, &cached[4], equal(babs, 5)); // ge25519_cmov_cached(t, &cached[5], equal(babs, 6)); // ge25519_cmov_cached(t, &cached[6], equal(babs, 7)); // ge25519_cmov_cached(t, &cached[7], equal(babs, 8)); for ($x = 0; $x < 8; ++$x) { $t = self::ge_cmov_cached($t, $cached[$x], self::equal($babs, $x + 1)); } // fe25519_copy(minust.YplusX, t->YminusX); // fe25519_copy(minust.YminusX, t->YplusX); // fe25519_copy(minust.Z, t->Z); // fe25519_neg(minust.T2d, t->T2d); $minust = new ParagonIE_Sodium_Core_Curve25519_Ge_Cached( self::fe_copy($t->YminusX), self::fe_copy($t->YplusX), self::fe_copy($t->Z), self::fe_neg($t->T2d) ); return self::ge_cmov_cached($t, $minust, $bnegative); } /** * @internal You should not use this directly from another application * * @param int $pos * @param int $b * @return ParagonIE_Sodium_Core_Curve25519_Ge_Precomp * @throws SodiumException * @throws TypeError * @psalm-suppress MixedArgument * @psalm-suppress MixedArrayAccess * @psalm-suppress MixedArrayOffset / public static function ge_select($pos = 0, $b = 0) { static $base = null; if ($base === null) { $base = array(); /* @var int $i / foreach (self::$base as $i => $bas) { for ($j = 0; $j < 8; ++$j) { $base[$i][$j] = new ParagonIE_Sodium_Core_Curve25519_Ge_Precomp( ParagonIE_Sodium_Core_Curve25519_Fe::fromArray($bas[$j][0]), ParagonIE_Sodium_Core_Curve25519_Fe::fromArray($bas[$j][1]), ParagonIE_Sodium_Core_Curve25519_Fe::fromArray($bas[$j][2]) ); } } } /* @var array<int, array<int, ParagonIE_Sodium_Core_Curve25519_Ge_Precomp>> $base / if (!is_int($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) ); } $minusT = new ParagonIE_Sodium_Core_Curve25519_Ge_Precomp( self::fe_copy($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_Core_Curve25519_Ge_P3 $p * @param ParagonIE_Sodium_Core_Curve25519_Ge_Cached $q * @return ParagonIE_Sodium_Core_Curve25519_Ge_P1p1 / public static function ge_sub( ParagonIE_Sodium_Core_Curve25519_Ge_P3 $p, ParagonIE_Sodium_Core_Curve25519_Ge_Cached $q ) { $r = new ParagonIE_Sodium_Core_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_Core_Curve25519_Ge_P2 $h * @return string * @throws SodiumException * @throws TypeError / public static function ge_tobytes(ParagonIE_Sodium_Core_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_Core_Curve25519_Ge_P3 $A * @param string $b * @return ParagonIE_Sodium_Core_Curve25519_Ge_P2 * @throws SodiumException * @throws TypeError * @psalm-suppress MixedArgument * @psalm-suppress MixedArrayAccess / public static function ge_double_scalarmult_vartime( $a, ParagonIE_Sodium_Core_Curve25519_Ge_P3 $A, $b ) { /* @var array<int, ParagonIE_Sodium_Core_Curve25519_Ge_Cached> $Ai / $Ai = array(); /* @var array<int, ParagonIE_Sodium_Core_Curve25519_Ge_Precomp> $Bi / static $Bi = array(); if (!$Bi) { for ($i = 0; $i < 8; ++$i) { $Bi[$i] = new ParagonIE_Sodium_Core_Curve25519_Ge_Precomp( ParagonIE_Sodium_Core_Curve25519_Fe::fromArray(self::$base2[$i][0]), ParagonIE_Sodium_Core_Curve25519_Fe::fromArray(self::$base2[$i][1]), ParagonIE_Sodium_Core_Curve25519_Fe::fromArray(self::$base2[$i][2]) ); } } for ($i = 0; $i < 8; ++$i) { $Ai[$i] = new ParagonIE_Sodium_Core_Curve25519_Ge_Cached( self::fe_0(), self::fe_0(), self::fe_0(), self::fe_0() ); } # slide(aslide,a); # slide(bslide,b); /* @var array<int, int> $aslide / $aslide = self::slide($a); /* @var array<int, int> $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[$i] / 2)] ); } # if (bslide[i] > 0) { if ($bslide[$i] > 0) { /* @var int $index / $index = (int) floor($bslide[$i] / 2); # ge_p1p1_to_p3(&u,&t); # ge_madd(&t,&u,&Bi[bslide[i]/2]); $u = self::ge_p1p1_to_p3($t); $t = self::ge_madd($t, $u, $Bi[$index]); # } else if (bslide[i] < 0) { } elseif ($bslide[$i] < 0) { /* @var int $index / $index = (int) floor(-$bslide[$i] / 2); # ge_p1p1_to_p3(&u,&t); # ge_msub(&t,&u,&Bi[(-bslide[i])/2]); $u = self::ge_p1p1_to_p3($t); $t = self::ge_msub($t, $u, $Bi[$index]); } # 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 * @param ParagonIE_Sodium_Core_Curve25519_Ge_P3 $p * @return ParagonIE_Sodium_Core_Curve25519_Ge_P3 * @throws SodiumException * @throws TypeError * @psalm-suppress MixedAssignment * @psalm-suppress MixedOperand / public static function ge_scalarmult($a, $p) { $e = array_fill(0, 64, 0); /* @var ParagonIE_Sodium_Core_Curve25519_Ge_Cached[] $pi / $pi = array(); // ge25519_p3_to_cached(&pi[1 - 1], p); / p / $pi[0] = self::ge_p3_to_cached($p); // ge25519_p3_dbl(&t2, p); // ge25519_p1p1_to_p3(&p2, &t2); // ge25519_p3_to_cached(&pi[2 - 1], &p2); / 2p = 2p / $t2 = self::ge_p3_dbl($p); $p2 = self::ge_p1p1_to_p3($t2); $pi[1] = self::ge_p3_to_cached($p2); // ge25519_add_cached(&t3, p, &pi[2 - 1]); // ge25519_p1p1_to_p3(&p3, &t3); // ge25519_p3_to_cached(&pi[3 - 1], &p3); /* 3p = 2p+p / $t3 = self::ge_add($p, $pi[1]); $p3 = self::ge_p1p1_to_p3($t3); $pi[2] = self::ge_p3_to_cached($p3); // ge25519_p3_dbl(&t4, &p2); // ge25519_p1p1_to_p3(&p4, &t4); // ge25519_p3_to_cached(&pi[4 - 1], &p4); / 4p = 22p / $t4 = self::ge_p3_dbl($p2); $p4 = self::ge_p1p1_to_p3($t4); $pi[3] = self::ge_p3_to_cached($p4); // ge25519_add_cached(&t5, p, &pi[4 - 1]); // ge25519_p1p1_to_p3(&p5, &t5); // ge25519_p3_to_cached(&pi[5 - 1], &p5); /* 5p = 4p+p / $t5 = self::ge_add($p, $pi[3]); $p5 = self::ge_p1p1_to_p3($t5); $pi[4] = self::ge_p3_to_cached($p5); // ge25519_p3_dbl(&t6, &p3); // ge25519_p1p1_to_p3(&p6, &t6); // ge25519_p3_to_cached(&pi[6 - 1], &p6); / 6p = 23p / $t6 = self::ge_p3_dbl($p3); $p6 = self::ge_p1p1_to_p3($t6); $pi[5] = self::ge_p3_to_cached($p6); // ge25519_add_cached(&t7, p, &pi[6 - 1]); // ge25519_p1p1_to_p3(&p7, &t7); // ge25519_p3_to_cached(&pi[7 - 1], &p7); /* 7p = 6p+p / $t7 = self::ge_add($p, $pi[5]); $p7 = self::ge_p1p1_to_p3($t7); $pi[6] = self::ge_p3_to_cached($p7); // ge25519_p3_dbl(&t8, &p4); // ge25519_p1p1_to_p3(&p8, &t8); // ge25519_p3_to_cached(&pi[8 - 1], &p8); / 8p = 24p / $t8 = self::ge_p3_dbl($p4); $p8 = self::ge_p1p1_to_p3($t8); $pi[7] = self::ge_p3_to_cached($p8); // for (i = 0; i < 32; ++i) { // e[2 * i + 0] = (a[i] >> 0) & 15; // e[2 * i + 1] = (a[i] >> 4) & 15; // } for ($i = 0; $i < 32; ++$i) { $e[($i << 1) ] = self::chrToInt($a[$i]) & 15; $e[($i << 1) + 1] = (self::chrToInt($a[$i]) >> 4) & 15; } // /* each e[i] is between 0 and 15 / // / e[63] is between 0 and 7 / // carry = 0; // for (i = 0; i < 63; ++i) { // e[i] += carry; // carry = e[i] + 8; // carry >>= 4; // e[i] -= carry ((signed char) 1 << 4); // } $carry = 0; for ($i = 0; $i < 63; ++$i) { $e[$i] += $carry; $carry = $e[$i] + 8; $carry >>= 4; $e[$i] -= $carry << 4; } // e[63] += carry; // /* each e[i] is between -8 and 8 / $e[63] += $carry; // ge25519_p3_0(h); $h = self::ge_p3_0(); // for (i = 63; i != 0; i--) { for ($i = 63; $i != 0; --$i) { // ge25519_cmov8_cached(&t, pi, e[i]); $t = self::ge_cmov8_cached($pi, $e[$i]); // ge25519_add_cached(&r, h, &t); $r = self::ge_add($h, $t); // ge25519_p1p1_to_p2(&s, &r); // ge25519_p2_dbl(&r, &s); // ge25519_p1p1_to_p2(&s, &r); // ge25519_p2_dbl(&r, &s); // ge25519_p1p1_to_p2(&s, &r); // ge25519_p2_dbl(&r, &s); // ge25519_p1p1_to_p2(&s, &r); // ge25519_p2_dbl(&r, &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); $s = self::ge_p1p1_to_p2($r); $r = self::ge_p2_dbl($s); $s = self::ge_p1p1_to_p2($r); $r = self::ge_p2_dbl($s); // ge25519_p1p1_to_p3(h, &r); / 16 / $h = self::ge_p1p1_to_p3($r); /* 16 / } // ge25519_cmov8_cached(&t, pi, e[i]); // ge25519_add_cached(&r, h, &t); // ge25519_p1p1_to_p3(h, &r); $t = self::ge_cmov8_cached($pi, $e[0]); $r = self::ge_add($h, $t); return self::ge_p1p1_to_p3($r); } /** * @internal You should not use this directly from another application * * @param string $a * @return ParagonIE_Sodium_Core_Curve25519_Ge_P3 * @throws SodiumException * @throws TypeError * @psalm-suppress MixedAssignment * @psalm-suppress MixedOperand / public static function ge_scalarmult_base($a) { /* @var array<int, int> $e / $e = array(); $r = new ParagonIE_Sodium_Core_Curve25519_Ge_P1p1(); for ($i = 0; $i < 32; ++$i) { $dbl = (int) $i << 1; $e[$dbl] = (int) self::chrToInt($a[$i]) & 15; $e[$dbl + 1] = (int) (self::chrToInt($a[$i]) >> 4) & 15; } $carry = 0; for ($i = 0; $i < 63; ++$i) { $e[$i] += $carry; $carry = $e[$i] + 8; $carry >>= 4; $e[$i] -= $carry << 4; } $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 $c * @return string * @throws TypeError / public static function sc_muladd($a, $b, $c) { $a0 = 2097151 & self::load_3(self::substr($a, 0, 3)); $a1 = 2097151 & (self::load_4(self::substr($a, 2, 4)) >> 5); $a2 = 2097151 & (self::load_3(self::substr($a, 5, 3)) >> 2); $a3 = 2097151 & (self::load_4(self::substr($a, 7, 4)) >> 7); $a4 = 2097151 & (self::load_4(self::substr($a, 10, 4)) >> 4); $a5 = 2097151 & (self::load_3(self::substr($a, 13, 3)) >> 1); $a6 = 2097151 & (self::load_4(self::substr($a, 15, 4)) >> 6); $a7 = 2097151 & (self::load_3(self::substr($a, 18, 3)) >> 3); $a8 = 2097151 & self::load_3(self::substr($a, 21, 3)); $a9 = 2097151 & (self::load_4(self::substr($a, 23, 4)) >> 5); $a10 = 2097151 & (self::load_3(self::substr($a, 26, 3)) >> 2); $a11 = (self::load_4(self::substr($a, 28, 4)) >> 7); $b0 = 2097151 & self::load_3(self::substr($b, 0, 3)); $b1 = 2097151 & (self::load_4(self::substr($b, 2, 4)) >> 5); $b2 = 2097151 & (self::load_3(self::substr($b, 5, 3)) >> 2); $b3 = 2097151 & (self::load_4(self::substr($b, 7, 4)) >> 7); $b4 = 2097151 & (self::load_4(self::substr($b, 10, 4)) >> 4); $b5 = 2097151 & (self::load_3(self::substr($b, 13, 3)) >> 1); $b6 = 2097151 & (self::load_4(self::substr($b, 15, 4)) >> 6); $b7 = 2097151 & (self::load_3(self::substr($b, 18, 3)) >> 3); $b8 = 2097151 & self::load_3(self::substr($b, 21, 3)); $b9 = 2097151 & (self::load_4(self::substr($b, 23, 4)) >> 5); $b10 = 2097151 & (self::load_3(self::substr($b, 26, 3)) >> 2); $b11 = (self::load_4(self::substr($b, 28, 4)) >> 7); $c0 = 2097151 & self::load_3(self::substr($c, 0, 3)); $c1 = 2097151 & (self::load_4(self::substr($c, 2, 4)) >> 5); $c2 = 2097151 & (self::load_3(self::substr($c, 5, 3)) >> 2); $c3 = 2097151 & (self::load_4(self::substr($c, 7, 4)) >> 7); $c4 = 2097151 & (self::load_4(self::substr($c, 10, 4)) >> 4); $c5 = 2097151 & (self::load_3(self::substr($c, 13, 3)) >> 1); $c6 = 2097151 & (self::load_4(self::substr($c, 15, 4)) >> 6); $c7 = 2097151 & (self::load_3(self::substr($c, 18, 3)) >> 3); $c8 = 2097151 & self::load_3(self::substr($c, 21, 3)); $c9 = 2097151 & (self::load_4(self::substr($c, 23, 4)) >> 5); $c10 = 2097151 & (self::load_3(self::substr($c, 26, 3)) >> 2); $c11 = (self::load_4(self::substr($c, 28, 4)) >> 7); / Can't really avoid the pyramid here: / $s0 = $c0 + self::mul($a0, $b0, 24); $s1 = $c1 + self::mul($a0, $b1, 24) + self::mul($a1, $b0, 24); $s2 = $c2 + self::mul($a0, $b2, 24) + self::mul($a1, $b1, 24) + self::mul($a2, $b0, 24); $s3 = $c3 + self::mul($a0, $b3, 24) + self::mul($a1, $b2, 24) + self::mul($a2, $b1, 24) + self::mul($a3, $b0, 24); $s4 = $c4 + self::mul($a0, $b4, 24) + self::mul($a1, $b3, 24) + self::mul($a2, $b2, 24) + self::mul($a3, $b1, 24) + self::mul($a4, $b0, 24); $s5 = $c5 + self::mul($a0, $b5, 24) + self::mul($a1, $b4, 24) + self::mul($a2, $b3, 24) + self::mul($a3, $b2, 24) + self::mul($a4, $b1, 24) + self::mul($a5, $b0, 24); $s6 = $c6 + self::mul($a0, $b6, 24) + self::mul($a1, $b5, 24) + self::mul($a2, $b4, 24) + self::mul($a3, $b3, 24) + self::mul($a4, $b2, 24) + self::mul($a5, $b1, 24) + self::mul($a6, $b0, 24); $s7 = $c7 + self::mul($a0, $b7, 24) + self::mul($a1, $b6, 24) + self::mul($a2, $b5, 24) + self::mul($a3, $b4, 24) + self::mul($a4, $b3, 24) + self::mul($a5, $b2, 24) + self::mul($a6, $b1, 24) + self::mul($a7, $b0, 24); $s8 = $c8 + self::mul($a0, $b8, 24) + self::mul($a1, $b7, 24) + self::mul($a2, $b6, 24) + self::mul($a3, $b5, 24) + self::mul($a4, $b4, 24) + self::mul($a5, $b3, 24) + self::mul($a6, $b2, 24) + self::mul($a7, $b1, 24) + self::mul($a8, $b0, 24); $s9 = $c9 + self::mul($a0, $b9, 24) + self::mul($a1, $b8, 24) + self::mul($a2, $b7, 24) + self::mul($a3, $b6, 24) + self::mul($a4, $b5, 24) + self::mul($a5, $b4, 24) + self::mul($a6, $b3, 24) + self::mul($a7, $b2, 24) + self::mul($a8, $b1, 24) + self::mul($a9, $b0, 24); $s10 = $c10 + self::mul($a0, $b10, 24) + self::mul($a1, $b9, 24) + self::mul($a2, $b8, 24) + self::mul($a3, $b7, 24) + self::mul($a4, $b6, 24) + self::mul($a5, $b5, 24) + self::mul($a6, $b4, 24) + self::mul($a7, $b3, 24) + self::mul($a8, $b2, 24) + self::mul($a9, $b1, 24) + self::mul($a10, $b0, 24); $s11 = $c11 + self::mul($a0, $b11, 24) + self::mul($a1, $b10, 24) + self::mul($a2, $b9, 24) + self::mul($a3, $b8, 24) + self::mul($a4, $b7, 24) + self::mul($a5, $b6, 24) + self::mul($a6, $b5, 24) + self::mul($a7, $b4, 24) + self::mul($a8, $b3, 24) + self::mul($a9, $b2, 24) + self::mul($a10, $b1, 24) + self::mul($a11, $b0, 24); $s12 = self::mul($a1, $b11, 24) + self::mul($a2, $b10, 24) + self::mul($a3, $b9, 24) + self::mul($a4, $b8, 24) + self::mul($a5, $b7, 24) + self::mul($a6, $b6, 24) + self::mul($a7, $b5, 24) + self::mul($a8, $b4, 24) + self::mul($a9, $b3, 24) + self::mul($a10, $b2, 24) + self::mul($a11, $b1, 24); $s13 = self::mul($a2, $b11, 24) + self::mul($a3, $b10, 24) + self::mul($a4, $b9, 24) + self::mul($a5, $b8, 24) + self::mul($a6, $b7, 24) + self::mul($a7, $b6, 24) + self::mul($a8, $b5, 24) + self::mul($a9, $b4, 24) + self::mul($a10, $b3, 24) + self::mul($a11, $b2, 24); $s14 = self::mul($a3, $b11, 24) + self::mul($a4, $b10, 24) + self::mul($a5, $b9, 24) + self::mul($a6, $b8, 24) + self::mul($a7, $b7, 24) + self::mul($a8, $b6, 24) + self::mul($a9, $b5, 24) + self::mul($a10, $b4, 24) + self::mul($a11, $b3, 24); $s15 = self::mul($a4, $b11, 24) + self::mul($a5, $b10, 24) + self::mul($a6, $b9, 24) + self::mul($a7, $b8, 24) + self::mul($a8, $b7, 24) + self::mul($a9, $b6, 24) + self::mul($a10, $b5, 24) + self::mul($a11, $b4, 24); $s16 = self::mul($a5, $b11, 24) + self::mul($a6, $b10, 24) + self::mul($a7, $b9, 24) + self::mul($a8, $b8, 24) + self::mul($a9, $b7, 24) + self::mul($a10, $b6, 24) + self::mul($a11, $b5, 24); $s17 = self::mul($a6, $b11, 24) + self::mul($a7, $b10, 24) + self::mul($a8, $b9, 24) + self::mul($a9, $b8, 24) + self::mul($a10, $b7, 24) + self::mul($a11, $b6, 24); $s18 = self::mul($a7, $b11, 24) + self::mul($a8, $b10, 24) + self::mul($a9, $b9, 24) + self::mul($a10, $b8, 24) + self::mul($a11, $b7, 24); $s19 = self::mul($a8, $b11, 24) + self::mul($a9, $b10, 24) + self::mul($a10, $b9, 24) + self::mul($a11, $b8, 24); $s20 = self::mul($a9, $b11, 24) + self::mul($a10, $b10, 24) + self::mul($a11, $b9, 24); $s21 = self::mul($a10, $b11, 24) + self::mul($a11, $b10, 24); $s22 = self::mul($a11, $b11, 24); $s23 = 0; $carry0 = ($s0 + (1 << 20)) >> 21; $s1 += $carry0; $s0 -= $carry0 << 21; $carry2 = ($s2 + (1 << 20)) >> 21; $s3 += $carry2; $s2 -= $carry2 << 21; $carry4 = ($s4 + (1 << 20)) >> 21; $s5 += $carry4; $s4 -= $carry4 << 21; $carry6 = ($s6 + (1 << 20)) >> 21; $s7 += $carry6; $s6 -= $carry6 << 21; $carry8 = ($s8 + (1 << 20)) >> 21; $s9 += $carry8; $s8 -= $carry8 << 21; $carry10 = ($s10 + (1 << 20)) >> 21; $s11 += $carry10; $s10 -= $carry10 << 21; $carry12 = ($s12 + (1 << 20)) >> 21; $s13 += $carry12; $s12 -= $carry12 << 21; $carry14 = ($s14 + (1 << 20)) >> 21; $s15 += $carry14; $s14 -= $carry14 << 21; $carry16 = ($s16 + (1 << 20)) >> 21; $s17 += $carry16; $s16 -= $carry16 << 21; $carry18 = ($s18 + (1 << 20)) >> 21; $s19 += $carry18; $s18 -= $carry18 << 21; $carry20 = ($s20 + (1 << 20)) >> 21; $s21 += $carry20; $s20 -= $carry20 << 21; $carry22 = ($s22 + (1 << 20)) >> 21; $s23 += $carry22; $s22 -= $carry22 << 21; $carry1 = ($s1 + (1 << 20)) >> 21; $s2 += $carry1; $s1 -= $carry1 << 21; $carry3 = ($s3 + (1 << 20)) >> 21; $s4 += $carry3; $s3 -= $carry3 << 21; $carry5 = ($s5 + (1 << 20)) >> 21; $s6 += $carry5; $s5 -= $carry5 << 21; $carry7 = ($s7 + (1 << 20)) >> 21; $s8 += $carry7; $s7 -= $carry7 << 21; $carry9 = ($s9 + (1 << 20)) >> 21; $s10 += $carry9; $s9 -= $carry9 << 21; $carry11 = ($s11 + (1 << 20)) >> 21; $s12 += $carry11; $s11 -= $carry11 << 21; $carry13 = ($s13 + (1 << 20)) >> 21; $s14 += $carry13; $s13 -= $carry13 << 21; $carry15 = ($s15 + (1 << 20)) >> 21; $s16 += $carry15; $s15 -= $carry15 << 21; $carry17 = ($s17 + (1 << 20)) >> 21; $s18 += $carry17; $s17 -= $carry17 << 21; $carry19 = ($s19 + (1 << 20)) >> 21; $s20 += $carry19; $s19 -= $carry19 << 21; $carry21 = ($s21 + (1 << 20)) >> 21; $s22 += $carry21; $s21 -= $carry21 << 21; $s11 += self::mul($s23, 666643, 20); $s12 += self::mul($s23, 470296, 19); $s13 += self::mul($s23, 654183, 20); $s14 -= self::mul($s23, 997805, 20); $s15 += self::mul($s23, 136657, 18); $s16 -= self::mul($s23, 683901, 20); $s10 += self::mul($s22, 666643, 20); $s11 += self::mul($s22, 470296, 19); $s12 += self::mul($s22, 654183, 20); $s13 -= self::mul($s22, 997805, 20); $s14 += self::mul($s22, 136657, 18); $s15 -= self::mul($s22, 683901, 20); $s9 += self::mul($s21, 666643, 20); $s10 += self::mul($s21, 470296, 19); $s11 += self::mul($s21, 654183, 20); $s12 -= self::mul($s21, 997805, 20); $s13 += self::mul($s21, 136657, 18); $s14 -= self::mul($s21, 683901, 20); $s8 += self::mul($s20, 666643, 20); $s9 += self::mul($s20, 470296, 19); $s10 += self::mul($s20, 654183, 20); $s11 -= self::mul($s20, 997805, 20); $s12 += self::mul($s20, 136657, 18); $s13 -= self::mul($s20, 683901, 20); $s7 += self::mul($s19, 666643, 20); $s8 += self::mul($s19, 470296, 19); $s9 += self::mul($s19, 654183, 20); $s10 -= self::mul($s19, 997805, 20); $s11 += self::mul($s19, 136657, 18); $s12 -= self::mul($s19, 683901, 20); $s6 += self::mul($s18, 666643, 20); $s7 += self::mul($s18, 470296, 19); $s8 += self::mul($s18, 654183, 20); $s9 -= self::mul($s18, 997805, 20); $s10 += self::mul($s18, 136657, 18); $s11 -= self::mul($s18, 683901, 20); $carry6 = ($s6 + (1 << 20)) >> 21; $s7 += $carry6; $s6 -= $carry6 << 21; $carry8 = ($s8 + (1 << 20)) >> 21; $s9 += $carry8; $s8 -= $carry8 << 21; $carry10 = ($s10 + (1 << 20)) >> 21; $s11 += $carry10; $s10 -= $carry10 << 21; $carry12 = ($s12 + (1 << 20)) >> 21; $s13 += $carry12; $s12 -= $carry12 << 21; $carry14 = ($s14 + (1 << 20)) >> 21; $s15 += $carry14; $s14 -= $carry14 << 21; $carry16 = ($s16 + (1 << 20)) >> 21; $s17 += $carry16; $s16 -= $carry16 << 21; $carry7 = ($s7 + (1 << 20)) >> 21; $s8 += $carry7; $s7 -= $carry7 << 21; $carry9 = ($s9 + (1 << 20)) >> 21; $s10 += $carry9; $s9 -= $carry9 << 21; $carry11 = ($s11 + (1 << 20)) >> 21; $s12 += $carry11; $s11 -= $carry11 << 21; $carry13 = ($s13 + (1 << 20)) >> 21; $s14 += $carry13; $s13 -= $carry13 << 21; $carry15 = ($s15 + (1 << 20)) >> 21; $s16 += $carry15; $s15 -= $carry15 << 21; $s5 += self::mul($s17, 666643, 20); $s6 += self::mul($s17, 470296, 19); $s7 += self::mul($s17, 654183, 20); $s8 -= self::mul($s17, 997805, 20); $s9 += self::mul($s17, 136657, 18); $s10 -= self::mul($s17, 683901, 20); $s4 += self::mul($s16, 666643, 20); $s5 += self::mul($s16, 470296, 19); $s6 += self::mul($s16, 654183, 20); $s7 -= self::mul($s16, 997805, 20); $s8 += self::mul($s16, 136657, 18); $s9 -= self::mul($s16, 683901, 20); $s3 += self::mul($s15, 666643, 20); $s4 += self::mul($s15, 470296, 19); $s5 += self::mul($s15, 654183, 20); $s6 -= self::mul($s15, 997805, 20); $s7 += self::mul($s15, 136657, 18); $s8 -= self::mul($s15, 683901, 20); $s2 += self::mul($s14, 666643, 20); $s3 += self::mul($s14, 470296, 19); $s4 += self::mul($s14, 654183, 20); $s5 -= self::mul($s14, 997805, 20); $s6 += self::mul($s14, 136657, 18); $s7 -= self::mul($s14, 683901, 20); $s1 += self::mul($s13, 666643, 20); $s2 += self::mul($s13, 470296, 19); $s3 += self::mul($s13, 654183, 20); $s4 -= self::mul($s13, 997805, 20); $s5 += self::mul($s13, 136657, 18); $s6 -= self::mul($s13, 683901, 20); $s0 += self::mul($s12, 666643, 20); $s1 += self::mul($s12, 470296, 19); $s2 += self::mul($s12, 654183, 20); $s3 -= self::mul($s12, 997805, 20); $s4 += self::mul($s12, 136657, 18); $s5 -= self::mul($s12, 683901, 20); $s12 = 0; $carry0 = ($s0 + (1 << 20)) >> 21; $s1 += $carry0; $s0 -= $carry0 << 21; $carry2 = ($s2 + (1 << 20)) >> 21; $s3 += $carry2; $s2 -= $carry2 << 21; $carry4 = ($s4 + (1 << 20)) >> 21; $s5 += $carry4; $s4 -= $carry4 << 21; $carry6 = ($s6 + (1 << 20)) >> 21; $s7 += $carry6; $s6 -= $carry6 << 21; $carry8 = ($s8 + (1 << 20)) >> 21; $s9 += $carry8; $s8 -= $carry8 << 21; $carry10 = ($s10 + (1 << 20)) >> 21; $s11 += $carry10; $s10 -= $carry10 << 21; $carry1 = ($s1 + (1 << 20)) >> 21; $s2 += $carry1; $s1 -= $carry1 << 21; $carry3 = ($s3 + (1 << 20)) >> 21; $s4 += $carry3; $s3 -= $carry3 << 21; $carry5 = ($s5 + (1 << 20)) >> 21; $s6 += $carry5; $s5 -= $carry5 << 21; $carry7 = ($s7 + (1 << 20)) >> 21; $s8 += $carry7; $s7 -= $carry7 << 21; $carry9 = ($s9 + (1 << 20)) >> 21; $s10 += $carry9; $s9 -= $carry9 << 21; $carry11 = ($s11 + (1 << 20)) >> 21; $s12 += $carry11; $s11 -= $carry11 << 21; $s0 += self::mul($s12, 666643, 20); $s1 += self::mul($s12, 470296, 19); $s2 += self::mul($s12, 654183, 20); $s3 -= self::mul($s12, 997805, 20); $s4 += self::mul($s12, 136657, 18); $s5 -= self::mul($s12, 683901, 20); $s12 = 0; $carry0 = $s0 >> 21; $s1 += $carry0; $s0 -= $carry0 << 21; $carry1 = $s1 >> 21; $s2 += $carry1; $s1 -= $carry1 << 21; $carry2 = $s2 >> 21; $s3 += $carry2; $s2 -= $carry2 << 21; $carry3 = $s3 >> 21; $s4 += $carry3; $s3 -= $carry3 << 21; $carry4 = $s4 >> 21; $s5 += $carry4; $s4 -= $carry4 << 21; $carry5 = $s5 >> 21; $s6 += $carry5; $s5 -= $carry5 << 21; $carry6 = $s6 >> 21; $s7 += $carry6; $s6 -= $carry6 << 21; $carry7 = $s7 >> 21; $s8 += $carry7; $s7 -= $carry7 << 21; $carry8 = $s8 >> 21; $s9 += $carry8; $s8 -= $carry8 << 21; $carry9 = $s9 >> 21; $s10 += $carry9; $s9 -= $carry9 << 21; $carry10 = $s10 >> 21; $s11 += $carry10; $s10 -= $carry10 << 21; $carry11 = $s11 >> 21; $s12 += $carry11; $s11 -= $carry11 << 21; $s0 += self::mul($s12, 666643, 20); $s1 += self::mul($s12, 470296, 19); $s2 += self::mul($s12, 654183, 20); $s3 -= self::mul($s12, 997805, 20); $s4 += self::mul($s12, 136657, 18); $s5 -= self::mul($s12, 683901, 20); $carry0 = $s0 >> 21; $s1 += $carry0; $s0 -= $carry0 << 21; $carry1 = $s1 >> 21; $s2 += $carry1; $s1 -= $carry1 << 21; $carry2 = $s2 >> 21; $s3 += $carry2; $s2 -= $carry2 << 21; $carry3 = $s3 >> 21; $s4 += $carry3; $s3 -= $carry3 << 21; $carry4 = $s4 >> 21; $s5 += $carry4; $s4 -= $carry4 << 21; $carry5 = $s5 >> 21; $s6 += $carry5; $s5 -= $carry5 << 21; $carry6 = $s6 >> 21; $s7 += $carry6; $s6 -= $carry6 << 21; $carry7 = $s7 >> 21; $s8 += $carry7; $s7 -= $carry7 << 21; $carry8 = $s8 >> 21; $s9 += $carry8; $s8 -= $carry8 << 21; $carry9 = $s9 >> 21; $s10 += $carry9; $s9 -= $carry9 << 21; $carry10 = $s10 >> 21; $s11 += $carry10; $s10 -= $carry10 << 21; /* * @var array<int, int> / $arr = array( (int) (0xff & ($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 & ($s11 >> 9)), 0xff & ($s11 >> 17) ); return self::intArrayToString($arr); } /* * @internal You should not use this directly from another application * * @param string $s * @return string * @throws TypeError / public static function sc_reduce($s) { $s0 = 2097151 & self::load_3(self::substr($s, 0, 3)); $s1 = 2097151 & (self::load_4(self::substr($s, 2, 4)) >> 5); $s2 = 2097151 & (self::load_3(self::substr($s, 5, 3)) >> 2); $s3 = 2097151 & (self::load_4(self::substr($s, 7, 4)) >> 7); $s4 = 2097151 & (self::load_4(self::substr($s, 10, 4)) >> 4); $s5 = 2097151 & (self::load_3(self::substr($s, 13, 3)) >> 1); $s6 = 2097151 & (self::load_4(self::substr($s, 15, 4)) >> 6); $s7 = 2097151 & (self::load_3(self::substr($s, 18, 4)) >> 3); $s8 = 2097151 & self::load_3(self::substr($s, 21, 3)); $s9 = 2097151 & (self::load_4(self::substr($s, 23, 4)) >> 5); $s10 = 2097151 & (self::load_3(self::substr($s, 26, 3)) >> 2); $s11 = 2097151 & (self::load_4(self::substr($s, 28, 4)) >> 7); $s12 = 2097151 & (self::load_4(self::substr($s, 31, 4)) >> 4); $s13 = 2097151 & (self::load_3(self::substr($s, 34, 3)) >> 1); $s14 = 2097151 & (self::load_4(self::substr($s, 36, 4)) >> 6); $s15 = 2097151 & (self::load_3(self::substr($s, 39, 4)) >> 3); $s16 = 2097151 & self::load_3(self::substr($s, 42, 3)); $s17 = 2097151 & (self::load_4(self::substr($s, 44, 4)) >> 5); $s18 = 2097151 & (self::load_3(self::substr($s, 47, 3)) >> 2); $s19 = 2097151 & (self::load_4(self::substr($s, 49, 4)) >> 7); $s20 = 2097151 & (self::load_4(self::substr($s, 52, 4)) >> 4); $s21 = 2097151 & (self::load_3(self::substr($s, 55, 3)) >> 1); $s22 = 2097151 & (self::load_4(self::substr($s, 57, 4)) >> 6); $s23 = 0x1fffffff & (self::load_4(self::substr($s, 60, 4)) >> 3); $s11 += self::mul($s23, 666643, 20); $s12 += self::mul($s23, 470296, 19); $s13 += self::mul($s23, 654183, 20); $s14 -= self::mul($s23, 997805, 20); $s15 += self::mul($s23, 136657, 18); $s16 -= self::mul($s23, 683901, 20); $s10 += self::mul($s22, 666643, 20); $s11 += self::mul($s22, 470296, 19); $s12 += self::mul($s22, 654183, 20); $s13 -= self::mul($s22, 997805, 20); $s14 += self::mul($s22, 136657, 18); $s15 -= self::mul($s22, 683901, 20); $s9 += self::mul($s21, 666643, 20); $s10 += self::mul($s21, 470296, 19); $s11 += self::mul($s21, 654183, 20); $s12 -= self::mul($s21, 997805, 20); $s13 += self::mul($s21, 136657, 18); $s14 -= self::mul($s21, 683901, 20); $s8 += self::mul($s20, 666643, 20); $s9 += self::mul($s20, 470296, 19); $s10 += self::mul($s20, 654183, 20); $s11 -= self::mul($s20, 997805, 20); $s12 += self::mul($s20, 136657, 18); $s13 -= self::mul($s20, 683901, 20); $s7 += self::mul($s19, 666643, 20); $s8 += self::mul($s19, 470296, 19); $s9 += self::mul($s19, 654183, 20); $s10 -= self::mul($s19, 997805, 20); $s11 += self::mul($s19, 136657, 18); $s12 -= self::mul($s19, 683901, 20); $s6 += self::mul($s18, 666643, 20); $s7 += self::mul($s18, 470296, 19); $s8 += self::mul($s18, 654183, 20); $s9 -= self::mul($s18, 997805, 20); $s10 += self::mul($s18, 136657, 18); $s11 -= self::mul($s18, 683901, 20); $carry6 = ($s6 + (1 << 20)) >> 21; $s7 += $carry6; $s6 -= $carry6 << 21; $carry8 = ($s8 + (1 << 20)) >> 21; $s9 += $carry8; $s8 -= $carry8 << 21; $carry10 = ($s10 + (1 << 20)) >> 21; $s11 += $carry10; $s10 -= $carry10 << 21; $carry12 = ($s12 + (1 << 20)) >> 21; $s13 += $carry12; $s12 -= $carry12 << 21; $carry14 = ($s14 + (1 << 20)) >> 21; $s15 += $carry14; $s14 -= $carry14 << 21; $carry16 = ($s16 + (1 << 20)) >> 21; $s17 += $carry16; $s16 -= $carry16 << 21; $carry7 = ($s7 + (1 << 20)) >> 21; $s8 += $carry7; $s7 -= $carry7 << 21; $carry9 = ($s9 + (1 << 20)) >> 21; $s10 += $carry9; $s9 -= $carry9 << 21; $carry11 = ($s11 + (1 << 20)) >> 21; $s12 += $carry11; $s11 -= $carry11 << 21; $carry13 = ($s13 + (1 << 20)) >> 21; $s14 += $carry13; $s13 -= $carry13 << 21; $carry15 = ($s15 + (1 << 20)) >> 21; $s16 += $carry15; $s15 -= $carry15 << 21; $s5 += self::mul($s17, 666643, 20); $s6 += self::mul($s17, 470296, 19); $s7 += self::mul($s17, 654183, 20); $s8 -= self::mul($s17, 997805, 20); $s9 += self::mul($s17, 136657, 18); $s10 -= self::mul($s17, 683901, 20); $s4 += self::mul($s16, 666643, 20); $s5 += self::mul($s16, 470296, 19); $s6 += self::mul($s16, 654183, 20); $s7 -= self::mul($s16, 997805, 20); $s8 += self::mul($s16, 136657, 18); $s9 -= self::mul($s16, 683901, 20); $s3 += self::mul($s15, 666643, 20); $s4 += self::mul($s15, 470296, 19); $s5 += self::mul($s15, 654183, 20); $s6 -= self::mul($s15, 997805, 20); $s7 += self::mul($s15, 136657, 18); $s8 -= self::mul($s15, 683901, 20); $s2 += self::mul($s14, 666643, 20); $s3 += self::mul($s14, 470296, 19); $s4 += self::mul($s14, 654183, 20); $s5 -= self::mul($s14, 997805, 20); $s6 += self::mul($s14, 136657, 18); $s7 -= self::mul($s14, 683901, 20); $s1 += self::mul($s13, 666643, 20); $s2 += self::mul($s13, 470296, 19); $s3 += self::mul($s13, 654183, 20); $s4 -= self::mul($s13, 997805, 20); $s5 += self::mul($s13, 136657, 18); $s6 -= self::mul($s13, 683901, 20); $s0 += self::mul($s12, 666643, 20); $s1 += self::mul($s12, 470296, 19); $s2 += self::mul($s12, 654183, 20); $s3 -= self::mul($s12, 997805, 20); $s4 += self::mul($s12, 136657, 18); $s5 -= self::mul($s12, 683901, 20); $s12 = 0; $carry0 = ($s0 + (1 << 20)) >> 21; $s1 += $carry0; $s0 -= $carry0 << 21; $carry2 = ($s2 + (1 << 20)) >> 21; $s3 += $carry2; $s2 -= $carry2 << 21; $carry4 = ($s4 + (1 << 20)) >> 21; $s5 += $carry4; $s4 -= $carry4 << 21; $carry6 = ($s6 + (1 << 20)) >> 21; $s7 += $carry6; $s6 -= $carry6 << 21; $carry8 = ($s8 + (1 << 20)) >> 21; $s9 += $carry8; $s8 -= $carry8 << 21; $carry10 = ($s10 + (1 << 20)) >> 21; $s11 += $carry10; $s10 -= $carry10 << 21; $carry1 = ($s1 + (1 << 20)) >> 21; $s2 += $carry1; $s1 -= $carry1 << 21; $carry3 = ($s3 + (1 << 20)) >> 21; $s4 += $carry3; $s3 -= $carry3 << 21; $carry5 = ($s5 + (1 << 20)) >> 21; $s6 += $carry5; $s5 -= $carry5 << 21; $carry7 = ($s7 + (1 << 20)) >> 21; $s8 += $carry7; $s7 -= $carry7 << 21; $carry9 = ($s9 + (1 << 20)) >> 21; $s10 += $carry9; $s9 -= $carry9 << 21; $carry11 = ($s11 + (1 << 20)) >> 21; $s12 += $carry11; $s11 -= $carry11 << 21; $s0 += self::mul($s12, 666643, 20); $s1 += self::mul($s12, 470296, 19); $s2 += self::mul($s12, 654183, 20); $s3 -= self::mul($s12, 997805, 20); $s4 += self::mul($s12, 136657, 18); $s5 -= self::mul($s12, 683901, 20); $s12 = 0; $carry0 = $s0 >> 21; $s1 += $carry0; $s0 -= $carry0 << 21; $carry1 = $s1 >> 21; $s2 += $carry1; $s1 -= $carry1 << 21; $carry2 = $s2 >> 21; $s3 += $carry2; $s2 -= $carry2 << 21; $carry3 = $s3 >> 21; $s4 += $carry3; $s3 -= $carry3 << 21; $carry4 = $s4 >> 21; $s5 += $carry4; $s4 -= $carry4 << 21; $carry5 = $s5 >> 21; $s6 += $carry5; $s5 -= $carry5 << 21; $carry6 = $s6 >> 21; $s7 += $carry6; $s6 -= $carry6 << 21; $carry7 = $s7 >> 21; $s8 += $carry7; $s7 -= $carry7 << 21; $carry8 = $s8 >> 21; $s9 += $carry8; $s8 -= $carry8 << 21; $carry9 = $s9 >> 21; $s10 += $carry9; $s9 -= $carry9 << 21; $carry10 = $s10 >> 21; $s11 += $carry10; $s10 -= $carry10 << 21; $carry11 = $s11 >> 21; $s12 += $carry11; $s11 -= $carry11 << 21; $s0 += self::mul($s12, 666643, 20); $s1 += self::mul($s12, 470296, 19); $s2 += self::mul($s12, 654183, 20); $s3 -= self::mul($s12, 997805, 20); $s4 += self::mul($s12, 136657, 18); $s5 -= self::mul($s12, 683901, 20); $carry0 = $s0 >> 21; $s1 += $carry0; $s0 -= $carry0 << 21; $carry1 = $s1 >> 21; $s2 += $carry1; $s1 -= $carry1 << 21; $carry2 = $s2 >> 21; $s3 += $carry2; $s2 -= $carry2 << 21; $carry3 = $s3 >> 21; $s4 += $carry3; $s3 -= $carry3 << 21; $carry4 = $s4 >> 21; $s5 += $carry4; $s4 -= $carry4 << 21; $carry5 = $s5 >> 21; $s6 += $carry5; $s5 -= $carry5 << 21; $carry6 = $s6 >> 21; $s7 += $carry6; $s6 -= $carry6 << 21; $carry7 = $s7 >> 21; $s8 += $carry7; $s7 -= $carry7 << 21; $carry8 = $s8 >> 21; $s9 += $carry8; $s8 -= $carry8 << 21; $carry9 = $s9 >> 21; $s10 += $carry9; $s9 -= $carry9 << 21; $carry10 = $s10 >> 21; $s11 += $carry10; $s10 -= $carry10 << 21; /* * @var array<int, int> / $arr = array( (int) ($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_Core_Curve25519_Ge_P3 $A * @return ParagonIE_Sodium_Core_Curve25519_Ge_P3 / public static function ge_mul_l(ParagonIE_Sodium_Core_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<int, ParagonIE_Sodium_Core_Curve25519_Ge_Cached> $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); } /* * @param string $a * @param string $b * @return string / public static function sc25519_mul($a, $b) { // int64_t a0 = 2097151 & load_3(a); // int64_t a1 = 2097151 & (load_4(a + 2) >> 5); // int64_t a2 = 2097151 & (load_3(a + 5) >> 2); // int64_t a3 = 2097151 & (load_4(a + 7) >> 7); // int64_t a4 = 2097151 & (load_4(a + 10) >> 4); // int64_t a5 = 2097151 & (load_3(a + 13) >> 1); // int64_t a6 = 2097151 & (load_4(a + 15) >> 6); // int64_t a7 = 2097151 & (load_3(a + 18) >> 3); // int64_t a8 = 2097151 & load_3(a + 21); // int64_t a9 = 2097151 & (load_4(a + 23) >> 5); // int64_t a10 = 2097151 & (load_3(a + 26) >> 2); // int64_t a11 = (load_4(a + 28) >> 7); $a0 = 2097151 & self::load_3(self::substr($a, 0, 3)); $a1 = 2097151 & (self::load_4(self::substr($a, 2, 4)) >> 5); $a2 = 2097151 & (self::load_3(self::substr($a, 5, 3)) >> 2); $a3 = 2097151 & (self::load_4(self::substr($a, 7, 4)) >> 7); $a4 = 2097151 & (self::load_4(self::substr($a, 10, 4)) >> 4); $a5 = 2097151 & (self::load_3(self::substr($a, 13, 3)) >> 1); $a6 = 2097151 & (self::load_4(self::substr($a, 15, 4)) >> 6); $a7 = 2097151 & (self::load_3(self::substr($a, 18, 3)) >> 3); $a8 = 2097151 & self::load_3(self::substr($a, 21, 3)); $a9 = 2097151 & (self::load_4(self::substr($a, 23, 4)) >> 5); $a10 = 2097151 & (self::load_3(self::substr($a, 26, 3)) >> 2); $a11 = (self::load_4(self::substr($a, 28, 4)) >> 7); // int64_t b0 = 2097151 & load_3(b); // int64_t b1 = 2097151 & (load_4(b + 2) >> 5); // int64_t b2 = 2097151 & (load_3(b + 5) >> 2); // int64_t b3 = 2097151 & (load_4(b + 7) >> 7); // int64_t b4 = 2097151 & (load_4(b + 10) >> 4); // int64_t b5 = 2097151 & (load_3(b + 13) >> 1); // int64_t b6 = 2097151 & (load_4(b + 15) >> 6); // int64_t b7 = 2097151 & (load_3(b + 18) >> 3); // int64_t b8 = 2097151 & load_3(b + 21); // int64_t b9 = 2097151 & (load_4(b + 23) >> 5); // int64_t b10 = 2097151 & (load_3(b + 26) >> 2); // int64_t b11 = (load_4(b + 28) >> 7); $b0 = 2097151 & self::load_3(self::substr($b, 0, 3)); $b1 = 2097151 & (self::load_4(self::substr($b, 2, 4)) >> 5); $b2 = 2097151 & (self::load_3(self::substr($b, 5, 3)) >> 2); $b3 = 2097151 & (self::load_4(self::substr($b, 7, 4)) >> 7); $b4 = 2097151 & (self::load_4(self::substr($b, 10, 4)) >> 4); $b5 = 2097151 & (self::load_3(self::substr($b, 13, 3)) >> 1); $b6 = 2097151 & (self::load_4(self::substr($b, 15, 4)) >> 6); $b7 = 2097151 & (self::load_3(self::substr($b, 18, 3)) >> 3); $b8 = 2097151 & self::load_3(self::substr($b, 21, 3)); $b9 = 2097151 & (self::load_4(self::substr($b, 23, 4)) >> 5); $b10 = 2097151 & (self::load_3(self::substr($b, 26, 3)) >> 2); $b11 = (self::load_4(self::substr($b, 28, 4)) >> 7); // s0 = a0 b0; // s1 = a0 * b1 + a1 * b0; // s2 = a0 * b2 + a1 * b1 + a2 * b0; // s3 = a0 * b3 + a1 * b2 + a2 * b1 + a3 * b0; // s4 = a0 * b4 + a1 * b3 + a2 * b2 + a3 * b1 + a4 * b0; // s5 = a0 * b5 + a1 * b4 + a2 * b3 + a3 * b2 + a4 * b1 + a5 * b0; // s6 = a0 * b6 + a1 * b5 + a2 * b4 + a3 * b3 + a4 * b2 + a5 * b1 + a6 * b0; // s7 = a0 * b7 + a1 * b6 + a2 * b5 + a3 * b4 + a4 * b3 + a5 * b2 + // a6 * b1 + a7 * b0; // s8 = a0 * b8 + a1 * b7 + a2 * b6 + a3 * b5 + a4 * b4 + a5 * b3 + // a6 * b2 + a7 * b1 + a8 * b0; // s9 = a0 * b9 + a1 * b8 + a2 * b7 + a3 * b6 + a4 * b5 + a5 * b4 + // a6 * b3 + a7 * b2 + a8 * b1 + a9 * b0; // s10 = a0 * b10 + a1 * b9 + a2 * b8 + a3 * b7 + a4 * b6 + a5 * b5 + // a6 * b4 + a7 * b3 + a8 * b2 + a9 * b1 + a10 * b0; // s11 = a0 * b11 + a1 * b10 + a2 * b9 + a3 * b8 + a4 * b7 + a5 * b6 + // a6 * b5 + a7 * b4 + a8 * b3 + a9 * b2 + a10 * b1 + a11 * b0; // s12 = a1 * b11 + a2 * b10 + a3 * b9 + a4 * b8 + a5 * b7 + a6 * b6 + // a7 * b5 + a8 * b4 + a9 * b3 + a10 * b2 + a11 * b1; // s13 = a2 * b11 + a3 * b10 + a4 * b9 + a5 * b8 + a6 * b7 + a7 * b6 + // a8 * b5 + a9 * b4 + a10 * b3 + a11 * b2; // s14 = a3 * b11 + a4 * b10 + a5 * b9 + a6 * b8 + a7 * b7 + a8 * b6 + // a9 * b5 + a10 * b4 + a11 * b3; // s15 = a4 * b11 + a5 * b10 + a6 * b9 + a7 * b8 + a8 * b7 + a9 * b6 + // a10 * b5 + a11 * b4; // s16 = // a5 * b11 + a6 * b10 + a7 * b9 + a8 * b8 + a9 * b7 + a10 * b6 + a11 * b5; // s17 = a6 * b11 + a7 * b10 + a8 * b9 + a9 * b8 + a10 * b7 + a11 * b6; // s18 = a7 * b11 + a8 * b10 + a9 * b9 + a10 * b8 + a11 * b7; // s19 = a8 * b11 + a9 * b10 + a10 * b9 + a11 * b8; // s20 = a9 * b11 + a10 * b10 + a11 * b9; // s21 = a10 * b11 + a11 * b10; // s22 = a11 * b11; // s23 = 0; $s0 = self::mul($a0, $b0, 22); $s1 = self::mul($a0, $b1, 22) + self::mul($a1, $b0, 22); $s2 = self::mul($a0, $b2, 22) + self::mul($a1, $b1, 22) + self::mul($a2, $b0, 22); $s3 = self::mul($a0, $b3, 22) + self::mul($a1, $b2, 22) + self::mul($a2, $b1, 22) + self::mul($a3, $b0, 22); $s4 = self::mul($a0, $b4, 22) + self::mul($a1, $b3, 22) + self::mul($a2, $b2, 22) + self::mul($a3, $b1, 22) + self::mul($a4, $b0, 22); $s5 = self::mul($a0, $b5, 22) + self::mul($a1, $b4, 22) + self::mul($a2, $b3, 22) + self::mul($a3, $b2, 22) + self::mul($a4, $b1, 22) + self::mul($a5, $b0, 22); $s6 = self::mul($a0, $b6, 22) + self::mul($a1, $b5, 22) + self::mul($a2, $b4, 22) + self::mul($a3, $b3, 22) + self::mul($a4, $b2, 22) + self::mul($a5, $b1, 22) + self::mul($a6, $b0, 22); $s7 = self::mul($a0, $b7, 22) + self::mul($a1, $b6, 22) + self::mul($a2, $b5, 22) + self::mul($a3, $b4, 22) + self::mul($a4, $b3, 22) + self::mul($a5, $b2, 22) + self::mul($a6, $b1, 22) + self::mul($a7, $b0, 22); $s8 = self::mul($a0, $b8, 22) + self::mul($a1, $b7, 22) + self::mul($a2, $b6, 22) + self::mul($a3, $b5, 22) + self::mul($a4, $b4, 22) + self::mul($a5, $b3, 22) + self::mul($a6, $b2, 22) + self::mul($a7, $b1, 22) + self::mul($a8, $b0, 22); $s9 = self::mul($a0, $b9, 22) + self::mul($a1, $b8, 22) + self::mul($a2, $b7, 22) + self::mul($a3, $b6, 22) + self::mul($a4, $b5, 22) + self::mul($a5, $b4, 22) + self::mul($a6, $b3, 22) + self::mul($a7, $b2, 22) + self::mul($a8, $b1, 22) + self::mul($a9, $b0, 22); $s10 = self::mul($a0, $b10, 22) + self::mul($a1, $b9, 22) + self::mul($a2, $b8, 22) + self::mul($a3, $b7, 22) + self::mul($a4, $b6, 22) + self::mul($a5, $b5, 22) + self::mul($a6, $b4, 22) + self::mul($a7, $b3, 22) + self::mul($a8, $b2, 22) + self::mul($a9, $b1, 22) + self::mul($a10, $b0, 22); $s11 = self::mul($a0, $b11, 22) + self::mul($a1, $b10, 22) + self::mul($a2, $b9, 22) + self::mul($a3, $b8, 22) + self::mul($a4, $b7, 22) + self::mul($a5, $b6, 22) + self::mul($a6, $b5, 22) + self::mul($a7, $b4, 22) + self::mul($a8, $b3, 22) + self::mul($a9, $b2, 22) + self::mul($a10, $b1, 22) + self::mul($a11, $b0, 22); $s12 = self::mul($a1, $b11, 22) + self::mul($a2, $b10, 22) + self::mul($a3, $b9, 22) + self::mul($a4, $b8, 22) + self::mul($a5, $b7, 22) + self::mul($a6, $b6, 22) + self::mul($a7, $b5, 22) + self::mul($a8, $b4, 22) + self::mul($a9, $b3, 22) + self::mul($a10, $b2, 22) + self::mul($a11, $b1, 22); $s13 = self::mul($a2, $b11, 22) + self::mul($a3, $b10, 22) + self::mul($a4, $b9, 22) + self::mul($a5, $b8, 22) + self::mul($a6, $b7, 22) + self::mul($a7, $b6, 22) + self::mul($a8, $b5, 22) + self::mul($a9, $b4, 22) + self::mul($a10, $b3, 22) + self::mul($a11, $b2, 22); $s14 = self::mul($a3, $b11, 22) + self::mul($a4, $b10, 22) + self::mul($a5, $b9, 22) + self::mul($a6, $b8, 22) + self::mul($a7, $b7, 22) + self::mul($a8, $b6, 22) + self::mul($a9, $b5, 22) + self::mul($a10, $b4, 22) + self::mul($a11, $b3, 22); $s15 = self::mul($a4, $b11, 22) + self::mul($a5, $b10, 22) + self::mul($a6, $b9, 22) + self::mul($a7, $b8, 22) + self::mul($a8, $b7, 22) + self::mul($a9, $b6, 22) + self::mul($a10, $b5, 22) + self::mul($a11, $b4, 22); $s16 = self::mul($a5, $b11, 22) + self::mul($a6, $b10, 22) + self::mul($a7, $b9, 22) + self::mul($a8, $b8, 22) + self::mul($a9, $b7, 22) + self::mul($a10, $b6, 22) + self::mul($a11, $b5, 22); $s17 = self::mul($a6, $b11, 22) + self::mul($a7, $b10, 22) + self::mul($a8, $b9, 22) + self::mul($a9, $b8, 22) + self::mul($a10, $b7, 22) + self::mul($a11, $b6, 22); $s18 = self::mul($a7, $b11, 22) + self::mul($a8, $b10, 22) + self::mul($a9, $b9, 22) + self::mul($a10, $b8, 22) + self::mul($a11, $b7, 22); $s19 = self::mul($a8, $b11, 22) + self::mul($a9, $b10, 22) + self::mul($a10, $b9, 22) + self::mul($a11, $b8, 22); $s20 = self::mul($a9, $b11, 22) + self::mul($a10, $b10, 22) + self::mul($a11, $b9, 22); $s21 = self::mul($a10, $b11, 22) + self::mul($a11, $b10, 22); $s22 = self::mul($a11, $b11, 22); $s23 = 0; // carry0 = (s0 + (int64_t) (1L << 20)) >> 21; // s1 += carry0; // s0 -= carry0 * ((uint64_t) 1L << 21); $carry0 = ($s0 + (1 << 20)) >> 21; $s1 += $carry0; $s0 -= $carry0 << 21; // carry2 = (s2 + (int64_t) (1L << 20)) >> 21; // s3 += carry2; // s2 -= carry2 * ((uint64_t) 1L << 21); $carry2 = ($s2 + (1 << 20)) >> 21; $s3 += $carry2; $s2 -= $carry2 << 21; // carry4 = (s4 + (int64_t) (1L << 20)) >> 21; // s5 += carry4; // s4 -= carry4 * ((uint64_t) 1L << 21); $carry4 = ($s4 + (1 << 20)) >> 21; $s5 += $carry4; $s4 -= $carry4 << 21; // carry6 = (s6 + (int64_t) (1L << 20)) >> 21; // s7 += carry6; // s6 -= carry6 * ((uint64_t) 1L << 21); $carry6 = ($s6 + (1 << 20)) >> 21; $s7 += $carry6; $s6 -= $carry6 << 21; // carry8 = (s8 + (int64_t) (1L << 20)) >> 21; // s9 += carry8; // s8 -= carry8 * ((uint64_t) 1L << 21); $carry8 = ($s8 + (1 << 20)) >> 21; $s9 += $carry8; $s8 -= $carry8 << 21; // carry10 = (s10 + (int64_t) (1L << 20)) >> 21; // s11 += carry10; // s10 -= carry10 * ((uint64_t) 1L << 21); $carry10 = ($s10 + (1 << 20)) >> 21; $s11 += $carry10; $s10 -= $carry10 << 21; // carry12 = (s12 + (int64_t) (1L << 20)) >> 21; // s13 += carry12; // s12 -= carry12 * ((uint64_t) 1L << 21); $carry12 = ($s12 + (1 << 20)) >> 21; $s13 += $carry12; $s12 -= $carry12 << 21; // carry14 = (s14 + (int64_t) (1L << 20)) >> 21; // s15 += carry14; // s14 -= carry14 * ((uint64_t) 1L << 21); $carry14 = ($s14 + (1 << 20)) >> 21; $s15 += $carry14; $s14 -= $carry14 << 21; // carry16 = (s16 + (int64_t) (1L << 20)) >> 21; // s17 += carry16; // s16 -= carry16 * ((uint64_t) 1L << 21); $carry16 = ($s16 + (1 << 20)) >> 21; $s17 += $carry16; $s16 -= $carry16 << 21; // carry18 = (s18 + (int64_t) (1L << 20)) >> 21; // s19 += carry18; // s18 -= carry18 * ((uint64_t) 1L << 21); $carry18 = ($s18 + (1 << 20)) >> 21; $s19 += $carry18; $s18 -= $carry18 << 21; // carry20 = (s20 + (int64_t) (1L << 20)) >> 21; // s21 += carry20; // s20 -= carry20 * ((uint64_t) 1L << 21); $carry20 = ($s20 + (1 << 20)) >> 21; $s21 += $carry20; $s20 -= $carry20 << 21; // carry22 = (s22 + (int64_t) (1L << 20)) >> 21; // s23 += carry22; // s22 -= carry22 * ((uint64_t) 1L << 21); $carry22 = ($s22 + (1 << 20)) >> 21; $s23 += $carry22; $s22 -= $carry22 << 21; // carry1 = (s1 + (int64_t) (1L << 20)) >> 21; // s2 += carry1; // s1 -= carry1 * ((uint64_t) 1L << 21); $carry1 = ($s1 + (1 << 20)) >> 21; $s2 += $carry1; $s1 -= $carry1 << 21; // carry3 = (s3 + (int64_t) (1L << 20)) >> 21; // s4 += carry3; // s3 -= carry3 * ((uint64_t) 1L << 21); $carry3 = ($s3 + (1 << 20)) >> 21; $s4 += $carry3; $s3 -= $carry3 << 21; // carry5 = (s5 + (int64_t) (1L << 20)) >> 21; // s6 += carry5; // s5 -= carry5 * ((uint64_t) 1L << 21); $carry5 = ($s5 + (1 << 20)) >> 21; $s6 += $carry5; $s5 -= $carry5 << 21; // carry7 = (s7 + (int64_t) (1L << 20)) >> 21; // s8 += carry7; // s7 -= carry7 * ((uint64_t) 1L << 21); $carry7 = ($s7 + (1 << 20)) >> 21; $s8 += $carry7; $s7 -= $carry7 << 21; // carry9 = (s9 + (int64_t) (1L << 20)) >> 21; // s10 += carry9; // s9 -= carry9 * ((uint64_t) 1L << 21); $carry9 = ($s9 + (1 << 20)) >> 21; $s10 += $carry9; $s9 -= $carry9 << 21; // carry11 = (s11 + (int64_t) (1L << 20)) >> 21; // s12 += carry11; // s11 -= carry11 * ((uint64_t) 1L << 21); $carry11 = ($s11 + (1 << 20)) >> 21; $s12 += $carry11; $s11 -= $carry11 << 21; // carry13 = (s13 + (int64_t) (1L << 20)) >> 21; // s14 += carry13; // s13 -= carry13 * ((uint64_t) 1L << 21); $carry13 = ($s13 + (1 << 20)) >> 21; $s14 += $carry13; $s13 -= $carry13 << 21; // carry15 = (s15 + (int64_t) (1L << 20)) >> 21; // s16 += carry15; // s15 -= carry15 * ((uint64_t) 1L << 21); $carry15 = ($s15 + (1 << 20)) >> 21; $s16 += $carry15; $s15 -= $carry15 << 21; // carry17 = (s17 + (int64_t) (1L << 20)) >> 21; // s18 += carry17; // s17 -= carry17 * ((uint64_t) 1L << 21); $carry17 = ($s17 + (1 << 20)) >> 21; $s18 += $carry17; $s17 -= $carry17 << 21; // carry19 = (s19 + (int64_t) (1L << 20)) >> 21; // s20 += carry19; // s19 -= carry19 * ((uint64_t) 1L << 21); $carry19 = ($s19 + (1 << 20)) >> 21; $s20 += $carry19; $s19 -= $carry19 << 21; // carry21 = (s21 + (int64_t) (1L << 20)) >> 21; // s22 += carry21; // s21 -= carry21 * ((uint64_t) 1L << 21); $carry21 = ($s21 + (1 << 20)) >> 21; $s22 += $carry21; $s21 -= $carry21 << 21; // s11 += s23 * 666643; // s12 += s23 * 470296; // s13 += s23 * 654183; // s14 -= s23 * 997805; // s15 += s23 * 136657; // s16 -= s23 * 683901; $s11 += self::mul($s23, 666643, 20); $s12 += self::mul($s23, 470296, 19); $s13 += self::mul($s23, 654183, 20); $s14 -= self::mul($s23, 997805, 20); $s15 += self::mul($s23, 136657, 18); $s16 -= self::mul($s23, 683901, 20); // s10 += s22 * 666643; // s11 += s22 * 470296; // s12 += s22 * 654183; // s13 -= s22 * 997805; // s14 += s22 * 136657; // s15 -= s22 * 683901; $s10 += self::mul($s22, 666643, 20); $s11 += self::mul($s22, 470296, 19); $s12 += self::mul($s22, 654183, 20); $s13 -= self::mul($s22, 997805, 20); $s14 += self::mul($s22, 136657, 18); $s15 -= self::mul($s22, 683901, 20); // s9 += s21 * 666643; // s10 += s21 * 470296; // s11 += s21 * 654183; // s12 -= s21 * 997805; // s13 += s21 * 136657; // s14 -= s21 * 683901; $s9 += self::mul($s21, 666643, 20); $s10 += self::mul($s21, 470296, 19); $s11 += self::mul($s21, 654183, 20); $s12 -= self::mul($s21, 997805, 20); $s13 += self::mul($s21, 136657, 18); $s14 -= self::mul($s21, 683901, 20); // s8 += s20 * 666643; // s9 += s20 * 470296; // s10 += s20 * 654183; // s11 -= s20 * 997805; // s12 += s20 * 136657; // s13 -= s20 * 683901; $s8 += self::mul($s20, 666643, 20); $s9 += self::mul($s20, 470296, 19); $s10 += self::mul($s20, 654183, 20); $s11 -= self::mul($s20, 997805, 20); $s12 += self::mul($s20, 136657, 18); $s13 -= self::mul($s20, 683901, 20); // s7 += s19 * 666643; // s8 += s19 * 470296; // s9 += s19 * 654183; // s10 -= s19 * 997805; // s11 += s19 * 136657; // s12 -= s19 * 683901; $s7 += self::mul($s19, 666643, 20); $s8 += self::mul($s19, 470296, 19); $s9 += self::mul($s19, 654183, 20); $s10 -= self::mul($s19, 997805, 20); $s11 += self::mul($s19, 136657, 18); $s12 -= self::mul($s19, 683901, 20); // s6 += s18 * 666643; // s7 += s18 * 470296; // s8 += s18 * 654183; // s9 -= s18 * 997805; // s10 += s18 * 136657; // s11 -= s18 * 683901; $s6 += self::mul($s18, 666643, 20); $s7 += self::mul($s18, 470296, 19); $s8 += self::mul($s18, 654183, 20); $s9 -= self::mul($s18, 997805, 20); $s10 += self::mul($s18, 136657, 18); $s11 -= self::mul($s18, 683901, 20); // carry6 = (s6 + (int64_t) (1L << 20)) >> 21; // s7 += carry6; // s6 -= carry6 * ((uint64_t) 1L << 21); $carry6 = ($s6 + (1 << 20)) >> 21; $s7 += $carry6; $s6 -= $carry6 << 21; // carry8 = (s8 + (int64_t) (1L << 20)) >> 21; // s9 += carry8; // s8 -= carry8 * ((uint64_t) 1L << 21); $carry8 = ($s8 + (1 << 20)) >> 21; $s9 += $carry8; $s8 -= $carry8 << 21; // carry10 = (s10 + (int64_t) (1L << 20)) >> 21; // s11 += carry10; // s10 -= carry10 * ((uint64_t) 1L << 21); $carry10 = ($s10 + (1 << 20)) >> 21; $s11 += $carry10; $s10 -= $carry10 << 21; // carry12 = (s12 + (int64_t) (1L << 20)) >> 21; // s13 += carry12; // s12 -= carry12 * ((uint64_t) 1L << 21); $carry12 = ($s12 + (1 << 20)) >> 21; $s13 += $carry12; $s12 -= $carry12 << 21; // carry14 = (s14 + (int64_t) (1L << 20)) >> 21; // s15 += carry14; // s14 -= carry14 * ((uint64_t) 1L << 21); $carry14 = ($s14 + (1 << 20)) >> 21; $s15 += $carry14; $s14 -= $carry14 << 21; // carry16 = (s16 + (int64_t) (1L << 20)) >> 21; // s17 += carry16; // s16 -= carry16 * ((uint64_t) 1L << 21); $carry16 = ($s16 + (1 << 20)) >> 21; $s17 += $carry16; $s16 -= $carry16 << 21; // carry7 = (s7 + (int64_t) (1L << 20)) >> 21; // s8 += carry7; // s7 -= carry7 * ((uint64_t) 1L << 21); $carry7 = ($s7 + (1 << 20)) >> 21; $s8 += $carry7; $s7 -= $carry7 << 21; // carry9 = (s9 + (int64_t) (1L << 20)) >> 21; // s10 += carry9; // s9 -= carry9 * ((uint64_t) 1L << 21); $carry9 = ($s9 + (1 << 20)) >> 21; $s10 += $carry9; $s9 -= $carry9 << 21; // carry11 = (s11 + (int64_t) (1L << 20)) >> 21; // s12 += carry11; // s11 -= carry11 * ((uint64_t) 1L << 21); $carry11 = ($s11 + (1 << 20)) >> 21; $s12 += $carry11; $s11 -= $carry11 << 21; // carry13 = (s13 + (int64_t) (1L << 20)) >> 21; // s14 += carry13; // s13 -= carry13 * ((uint64_t) 1L << 21); $carry13 = ($s13 + (1 << 20)) >> 21; $s14 += $carry13; $s13 -= $carry13 << 21; // carry15 = (s15 + (int64_t) (1L << 20)) >> 21; // s16 += carry15; // s15 -= carry15 * ((uint64_t) 1L << 21); $carry15 = ($s15 + (1 << 20)) >> 21; $s16 += $carry15; $s15 -= $carry15 << 21; // s5 += s17 * 666643; // s6 += s17 * 470296; // s7 += s17 * 654183; // s8 -= s17 * 997805; // s9 += s17 * 136657; // s10 -= s17 * 683901; $s5 += self::mul($s17, 666643, 20); $s6 += self::mul($s17, 470296, 19); $s7 += self::mul($s17, 654183, 20); $s8 -= self::mul($s17, 997805, 20); $s9 += self::mul($s17, 136657, 18); $s10 -= self::mul($s17, 683901, 20); // s4 += s16 * 666643; // s5 += s16 * 470296; // s6 += s16 * 654183; // s7 -= s16 * 997805; // s8 += s16 * 136657; // s9 -= s16 * 683901; $s4 += self::mul($s16, 666643, 20); $s5 += self::mul($s16, 470296, 19); $s6 += self::mul($s16, 654183, 20); $s7 -= self::mul($s16, 997805, 20); $s8 += self::mul($s16, 136657, 18); $s9 -= self::mul($s16, 683901, 20); // s3 += s15 * 666643; // s4 += s15 * 470296; // s5 += s15 * 654183; // s6 -= s15 * 997805; // s7 += s15 * 136657; // s8 -= s15 * 683901; $s3 += self::mul($s15, 666643, 20); $s4 += self::mul($s15, 470296, 19); $s5 += self::mul($s15, 654183, 20); $s6 -= self::mul($s15, 997805, 20); $s7 += self::mul($s15, 136657, 18); $s8 -= self::mul($s15, 683901, 20); // s2 += s14 * 666643; // s3 += s14 * 470296; // s4 += s14 * 654183; // s5 -= s14 * 997805; // s6 += s14 * 136657; // s7 -= s14 * 683901; $s2 += self::mul($s14, 666643, 20); $s3 += self::mul($s14, 470296, 19); $s4 += self::mul($s14, 654183, 20); $s5 -= self::mul($s14, 997805, 20); $s6 += self::mul($s14, 136657, 18); $s7 -= self::mul($s14, 683901, 20); // s1 += s13 * 666643; // s2 += s13 * 470296; // s3 += s13 * 654183; // s4 -= s13 * 997805; // s5 += s13 * 136657; // s6 -= s13 * 683901; $s1 += self::mul($s13, 666643, 20); $s2 += self::mul($s13, 470296, 19); $s3 += self::mul($s13, 654183, 20); $s4 -= self::mul($s13, 997805, 20); $s5 += self::mul($s13, 136657, 18); $s6 -= self::mul($s13, 683901, 20); // s0 += s12 * 666643; // s1 += s12 * 470296; // s2 += s12 * 654183; // s3 -= s12 * 997805; // s4 += s12 * 136657; // s5 -= s12 * 683901; // s12 = 0; $s0 += self::mul($s12, 666643, 20); $s1 += self::mul($s12, 470296, 19); $s2 += self::mul($s12, 654183, 20); $s3 -= self::mul($s12, 997805, 20); $s4 += self::mul($s12, 136657, 18); $s5 -= self::mul($s12, 683901, 20); $s12 = 0; // carry0 = (s0 + (int64_t) (1L << 20)) >> 21; // s1 += carry0; // s0 -= carry0 * ((uint64_t) 1L << 21); $carry0 = ($s0 + (1 << 20)) >> 21; $s1 += $carry0; $s0 -= $carry0 << 21; // carry2 = (s2 + (int64_t) (1L << 20)) >> 21; // s3 += carry2; // s2 -= carry2 * ((uint64_t) 1L << 21); $carry2 = ($s2 + (1 << 20)) >> 21; $s3 += $carry2; $s2 -= $carry2 << 21; // carry4 = (s4 + (int64_t) (1L << 20)) >> 21; // s5 += carry4; // s4 -= carry4 * ((uint64_t) 1L << 21); $carry4 = ($s4 + (1 << 20)) >> 21; $s5 += $carry4; $s4 -= $carry4 << 21; // carry6 = (s6 + (int64_t) (1L << 20)) >> 21; // s7 += carry6; // s6 -= carry6 * ((uint64_t) 1L << 21); $carry6 = ($s6 + (1 << 20)) >> 21; $s7 += $carry6; $s6 -= $carry6 << 21; // carry8 = (s8 + (int64_t) (1L << 20)) >> 21; // s9 += carry8; // s8 -= carry8 * ((uint64_t) 1L << 21); $carry8 = ($s8 + (1 << 20)) >> 21; $s9 += $carry8; $s8 -= $carry8 << 21; // carry10 = (s10 + (int64_t) (1L << 20)) >> 21; // s11 += carry10; // s10 -= carry10 * ((uint64_t) 1L << 21); $carry10 = ($s10 + (1 << 20)) >> 21; $s11 += $carry10; $s10 -= $carry10 << 21; // carry1 = (s1 + (int64_t) (1L << 20)) >> 21; // s2 += carry1; // s1 -= carry1 * ((uint64_t) 1L << 21); $carry1 = ($s1 + (1 << 20)) >> 21; $s2 += $carry1; $s1 -= $carry1 << 21; // carry3 = (s3 + (int64_t) (1L << 20)) >> 21; // s4 += carry3; // s3 -= carry3 * ((uint64_t) 1L << 21); $carry3 = ($s3 + (1 << 20)) >> 21; $s4 += $carry3; $s3 -= $carry3 << 21; // carry5 = (s5 + (int64_t) (1L << 20)) >> 21; // s6 += carry5; // s5 -= carry5 * ((uint64_t) 1L << 21); $carry5 = ($s5 + (1 << 20)) >> 21; $s6 += $carry5; $s5 -= $carry5 << 21; // carry7 = (s7 + (int64_t) (1L << 20)) >> 21; // s8 += carry7; // s7 -= carry7 * ((uint64_t) 1L << 21); $carry7 = ($s7 + (1 << 20)) >> 21; $s8 += $carry7; $s7 -= $carry7 << 21; // carry9 = (s9 + (int64_t) (1L << 20)) >> 21; // s10 += carry9; // s9 -= carry9 * ((uint64_t) 1L << 21); $carry9 = ($s9 + (1 << 20)) >> 21; $s10 += $carry9; $s9 -= $carry9 << 21; // carry11 = (s11 + (int64_t) (1L << 20)) >> 21; // s12 += carry11; // s11 -= carry11 * ((uint64_t) 1L << 21); $carry11 = ($s11 + (1 << 20)) >> 21; $s12 += $carry11; $s11 -= $carry11 << 21; // s0 += s12 * 666643; // s1 += s12 * 470296; // s2 += s12 * 654183; // s3 -= s12 * 997805; // s4 += s12 * 136657; // s5 -= s12 * 683901; // s12 = 0; $s0 += self::mul($s12, 666643, 20); $s1 += self::mul($s12, 470296, 19); $s2 += self::mul($s12, 654183, 20); $s3 -= self::mul($s12, 997805, 20); $s4 += self::mul($s12, 136657, 18); $s5 -= self::mul($s12, 683901, 20); $s12 = 0; // carry0 = s0 >> 21; // s1 += carry0; // s0 -= carry0 * ((uint64_t) 1L << 21); $carry0 = $s0 >> 21; $s1 += $carry0; $s0 -= $carry0 << 21; // carry1 = s1 >> 21; // s2 += carry1; // s1 -= carry1 * ((uint64_t) 1L << 21); $carry1 = $s1 >> 21; $s2 += $carry1; $s1 -= $carry1 << 21; // carry2 = s2 >> 21; // s3 += carry2; // s2 -= carry2 * ((uint64_t) 1L << 21); $carry2 = $s2 >> 21; $s3 += $carry2; $s2 -= $carry2 << 21; // carry3 = s3 >> 21; // s4 += carry3; // s3 -= carry3 * ((uint64_t) 1L << 21); $carry3 = $s3 >> 21; $s4 += $carry3; $s3 -= $carry3 << 21; // carry4 = s4 >> 21; // s5 += carry4; // s4 -= carry4 * ((uint64_t) 1L << 21); $carry4 = $s4 >> 21; $s5 += $carry4; $s4 -= $carry4 << 21; // carry5 = s5 >> 21; // s6 += carry5; // s5 -= carry5 * ((uint64_t) 1L << 21); $carry5 = $s5 >> 21; $s6 += $carry5; $s5 -= $carry5 << 21; // carry6 = s6 >> 21; // s7 += carry6; // s6 -= carry6 * ((uint64_t) 1L << 21); $carry6 = $s6 >> 21; $s7 += $carry6; $s6 -= $carry6 << 21; // carry7 = s7 >> 21; // s8 += carry7; // s7 -= carry7 * ((uint64_t) 1L << 21); $carry7 = $s7 >> 21; $s8 += $carry7; $s7 -= $carry7 << 21; // carry8 = s8 >> 21; // s9 += carry8; // s8 -= carry8 * ((uint64_t) 1L << 21); $carry8 = $s8 >> 21; $s9 += $carry8; $s8 -= $carry8 << 21; // carry9 = s9 >> 21; // s10 += carry9; // s9 -= carry9 * ((uint64_t) 1L << 21); $carry9 = $s9 >> 21; $s10 += $carry9; $s9 -= $carry9 << 21; // carry10 = s10 >> 21; // s11 += carry10; // s10 -= carry10 * ((uint64_t) 1L << 21); $carry10 = $s10 >> 21; $s11 += $carry10; $s10 -= $carry10 << 21; // carry11 = s11 >> 21; // s12 += carry11; // s11 -= carry11 * ((uint64_t) 1L << 21); $carry11 = $s11 >> 21; $s12 += $carry11; $s11 -= $carry11 << 21; // s0 += s12 * 666643; // s1 += s12 * 470296; // s2 += s12 * 654183; // s3 -= s12 * 997805; // s4 += s12 * 136657; // s5 -= s12 * 683901; $s0 += self::mul($s12, 666643, 20); $s1 += self::mul($s12, 470296, 19); $s2 += self::mul($s12, 654183, 20); $s3 -= self::mul($s12, 997805, 20); $s4 += self::mul($s12, 136657, 18); $s5 -= self::mul($s12, 683901, 20); // carry0 = s0 >> 21; // s1 += carry0; // s0 -= carry0 * ((uint64_t) 1L << 21); $carry0 = $s0 >> 21; $s1 += $carry0; $s0 -= $carry0 << 21; // carry1 = s1 >> 21; // s2 += carry1; // s1 -= carry1 * ((uint64_t) 1L << 21); $carry1 = $s1 >> 21; $s2 += $carry1; $s1 -= $carry1 << 21; // carry2 = s2 >> 21; // s3 += carry2; // s2 -= carry2 * ((uint64_t) 1L << 21); $carry2 = $s2 >> 21; $s3 += $carry2; $s2 -= $carry2 << 21; // carry3 = s3 >> 21; // s4 += carry3; // s3 -= carry3 * ((uint64_t) 1L << 21); $carry3 = $s3 >> 21; $s4 += $carry3; $s3 -= $carry3 << 21; // carry4 = s4 >> 21; // s5 += carry4; // s4 -= carry4 * ((uint64_t) 1L << 21); $carry4 = $s4 >> 21; $s5 += $carry4; $s4 -= $carry4 << 21; // carry5 = s5 >> 21; // s6 += carry5; // s5 -= carry5 * ((uint64_t) 1L << 21); $carry5 = $s5 >> 21; $s6 += $carry5; $s5 -= $carry5 << 21; // carry6 = s6 >> 21; // s7 += carry6; // s6 -= carry6 * ((uint64_t) 1L << 21); $carry6 = $s6 >> 21; $s7 += $carry6; $s6 -= $carry6 << 21; // carry7 = s7 >> 21; // s8 += carry7; // s7 -= carry7 * ((uint64_t) 1L << 21); $carry7 = $s7 >> 21; $s8 += $carry7; $s7 -= $carry7 << 21; // carry8 = s8 >> 21; // s9 += carry8; // s8 -= carry8 * ((uint64_t) 1L << 21); $carry8 = $s8 >> 21; $s9 += $carry8; $s8 -= $carry8 << 21; // carry9 = s9 >> 21; // s10 += carry9; // s9 -= carry9 * ((uint64_t) 1L << 21); $carry9 = $s9 >> 21; $s10 += $carry9; $s9 -= $carry9 << 21; // carry10 = s10 >> 21; // s11 += carry10; // s10 -= carry10 * ((uint64_t) 1L << 21); $carry10 = $s10 >> 21; $s11 += $carry10; $s10 -= $carry10 << 21; $s = array_fill(0, 32, 0); // s[0] = s0 >> 0; $s[0] = $s0 >> 0; // s[1] = s0 >> 8; $s[1] = $s0 >> 8; // s[2] = (s0 >> 16) \| (s1 * ((uint64_t) 1 << 5)); $s[2] = ($s0 >> 16) \| ($s1 << 5); // s[3] = s1 >> 3; $s[3] = $s1 >> 3; // s[4] = s1 >> 11; $s[4] = $s1 >> 11; // s[5] = (s1 >> 19) \| (s2 * ((uint64_t) 1 << 2)); $s[5] = ($s1 >> 19) \| ($s2 << 2); // s[6] = s2 >> 6; $s[6] = $s2 >> 6; // s[7] = (s2 >> 14) \| (s3 * ((uint64_t) 1 << 7)); $s[7] = ($s2 >> 14) \| ($s3 << 7); // s[8] = s3 >> 1; $s[8] = $s3 >> 1; // s[9] = s3 >> 9; $s[9] = $s3 >> 9; // s[10] = (s3 >> 17) \| (s4 * ((uint64_t) 1 << 4)); $s[10] = ($s3 >> 17) \| ($s4 << 4); // s[11] = s4 >> 4; $s[11] = $s4 >> 4; // s[12] = s4 >> 12; $s[12] = $s4 >> 12; // s[13] = (s4 >> 20) \| (s5 * ((uint64_t) 1 << 1)); $s[13] = ($s4 >> 20) \| ($s5 << 1); // s[14] = s5 >> 7; $s[14] = $s5 >> 7; // s[15] = (s5 >> 15) \| (s6 * ((uint64_t) 1 << 6)); $s[15] = ($s5 >> 15) \| ($s6 << 6); // s[16] = s6 >> 2; $s[16] = $s6 >> 2; // s[17] = s6 >> 10; $s[17] = $s6 >> 10; // s[18] = (s6 >> 18) \| (s7 * ((uint64_t) 1 << 3)); $s[18] = ($s6 >> 18) \| ($s7 << 3); // s[19] = s7 >> 5; $s[19] = $s7 >> 5; // s[20] = s7 >> 13; $s[20] = $s7 >> 13; // s[21] = s8 >> 0; $s[21] = $s8 >> 0; // s[22] = s8 >> 8; $s[22] = $s8 >> 8; // s[23] = (s8 >> 16) \| (s9 * ((uint64_t) 1 << 5)); $s[23] = ($s8 >> 16) \| ($s9 << 5); // s[24] = s9 >> 3; $s[24] = $s9 >> 3; // s[25] = s9 >> 11; $s[25] = $s9 >> 11; // s[26] = (s9 >> 19) \| (s10 * ((uint64_t) 1 << 2)); $s[26] = ($s9 >> 19) \| ($s10 << 2); // s[27] = s10 >> 6; $s[27] = $s10 >> 6; // s[28] = (s10 >> 14) \| (s11 * ((uint64_t) 1 << 7)); $s[28] = ($s10 >> 14) \| ($s11 << 7); // s[29] = s11 >> 1; $s[29] = $s11 >> 1; // s[30] = s11 >> 9; $s[30] = $s11 >> 9; // s[31] = s11 >> 17; $s[31] = $s11 >> 17; return self::intArrayToString($s); } /** * @param string $s * @return string / public static function sc25519_sq($s) { return self::sc25519_mul($s, $s); } /* * @param string $s * @param int $n * @param string $a * @return string / public static function sc25519_sqmul($s, $n, $a) { for ($i = 0; $i < $n; ++$i) { $s = self::sc25519_sq($s); } return self::sc25519_mul($s, $a); } /* * @param string $s * @return string / public static function sc25519_invert($s) { $_10 = self::sc25519_sq($s); $_11 = self::sc25519_mul($s, $_10); $_100 = self::sc25519_mul($s, $_11); $_1000 = self::sc25519_sq($_100); $_1010 = self::sc25519_mul($_10, $_1000); $_1011 = self::sc25519_mul($s, $_1010); $_10000 = self::sc25519_sq($_1000); $_10110 = self::sc25519_sq($_1011); $_100000 = self::sc25519_mul($_1010, $_10110); $_100110 = self::sc25519_mul($_10000, $_10110); $_1000000 = self::sc25519_sq($_100000); $_1010000 = self::sc25519_mul($_10000, $_1000000); $_1010011 = self::sc25519_mul($_11, $_1010000); $_1100011 = self::sc25519_mul($_10000, $_1010011); $_1100111 = self::sc25519_mul($_100, $_1100011); $_1101011 = self::sc25519_mul($_100, $_1100111); $_10010011 = self::sc25519_mul($_1000000, $_1010011); $_10010111 = self::sc25519_mul($_100, $_10010011); $_10111101 = self::sc25519_mul($_100110, $_10010111); $_11010011 = self::sc25519_mul($_10110, $_10111101); $_11100111 = self::sc25519_mul($_1010000, $_10010111); $_11101011 = self::sc25519_mul($_100, $_11100111); $_11110101 = self::sc25519_mul($_1010, $_11101011); $recip = self::sc25519_mul($_1011, $_11110101); $recip = self::sc25519_sqmul($recip, 126, $_1010011); $recip = self::sc25519_sqmul($recip, 9, $_10); $recip = self::sc25519_mul($recip, $_11110101); $recip = self::sc25519_sqmul($recip, 7, $_1100111); $recip = self::sc25519_sqmul($recip, 9, $_11110101); $recip = self::sc25519_sqmul($recip, 11, $_10111101); $recip = self::sc25519_sqmul($recip, 8, $_11100111); $recip = self::sc25519_sqmul($recip, 9, $_1101011); $recip = self::sc25519_sqmul($recip, 6, $_1011); $recip = self::sc25519_sqmul($recip, 14, $_10010011); $recip = self::sc25519_sqmul($recip, 10, $_1100011); $recip = self::sc25519_sqmul($recip, 9, $_10010111); $recip = self::sc25519_sqmul($recip, 10, $_11110101); $recip = self::sc25519_sqmul($recip, 8, $_11010011); return self::sc25519_sqmul($recip, 8, $_11101011); } /* * @param string $s * @return string / public static function clamp($s) { $s_ = self::stringToIntArray($s); $s_[0] &= 248; $s_[31] \|= 64; $s_[31] &= 128; return self::intArrayToString($s_); } /* * Ensure limbs are less than 28 bits long to prevent float promotion. * * This uses a constant-time conditional swap under the hood. * * @param ParagonIE_Sodium_Core_Curve25519_Fe $f * @return ParagonIE_Sodium_Core_Curve25519_Fe / public static function fe_normalize(ParagonIE_Sodium_Core_Curve25519_Fe $f) { $x = (PHP_INT_SIZE << 3) - 1; // 31 or 63 $g = self::fe_copy($f); for ($i = 0; $i < 10; ++$i) { $mask = -(($g[$i] >> $x) & 1); / * Get two candidate normalized values for $g[$i], depending on the sign of $g[$i]: / $a = $g[$i] & 0x7ffffff; $b = -((-$g[$i]) & 0x7ffffff); / * Return the appropriate candidate value, based on the sign of the original input: * * The following is equivalent to this ternary: * * $g[$i] = (($g[$i] >> $x) & 1) ? $a : $b; * * Except what's written doesn't contain timing leaks. */ $g[$i] = ($a ^ (($a ^ $b) & $mask)); } return $g; } }	139.29 KB	2025-09-05 13:25
📄 Ed25519.php <?php if (class_exists('ParagonIE_Sodium_Core_Ed25519', false)) { return; } if (!class_exists('ParagonIE_Sodium_Core_Curve25519', false)) { require_once dirname(__FILE__) . '/Curve25519.php'; } /** * Class ParagonIE_Sodium_Core_Ed25519 / abstract class ParagonIE_Sodium_Core_Ed25519 extends ParagonIE_Sodium_Core_Curve25519 { const KEYPAIR_BYTES = 96; const SEED_BYTES = 32; const SCALAR_BYTES = 32; /* * @internal You should not use this directly from another application * * @return string (96 bytes) * @throws Exception * @throws SodiumException * @throws TypeError / public static function keypair() { $seed = random_bytes(self::SEED_BYTES); $pk = ''; $sk = ''; self::seed_keypair($pk, $sk, $seed); return $sk . $pk; } /* * @internal You should not use this directly from another application * * @param string $pk * @param string $sk * @param string $seed * @return string * @throws SodiumException * @throws TypeError / public static function seed_keypair(&$pk, &$sk, $seed) { if (self::strlen($seed) !== self::SEED_BYTES) { throw new RangeException('crypto_sign keypair seed must be 32 bytes long'); } /* @var string $pk / $pk = self::publickey_from_secretkey($seed); $sk = $seed . $pk; return $sk; } /* * @internal You should not use this directly from another application * * @param string $keypair * @return string * @throws TypeError / public static function secretkey($keypair) { if (self::strlen($keypair) !== self::KEYPAIR_BYTES) { throw new RangeException('crypto_sign keypair must be 96 bytes long'); } return self::substr($keypair, 0, 64); } /* * @internal You should not use this directly from another application * * @param string $keypair * @return string * @throws TypeError / public static function publickey($keypair) { if (self::strlen($keypair) !== self::KEYPAIR_BYTES) { throw new RangeException('crypto_sign keypair must be 96 bytes long'); } return self::substr($keypair, 64, 32); } /* * @internal You should not use this directly from another application * * @param string $sk * @return string * @throws SodiumException * @throws TypeError / public static function publickey_from_secretkey($sk) { /* @var string $sk / $sk = hash('sha512', self::substr($sk, 0, 32), true); $sk[0] = self::intToChr( self::chrToInt($sk[0]) & 248 ); $sk[31] = self::intToChr( (self::chrToInt($sk[31]) & 63) \| 64 ); return self::sk_to_pk($sk); } /* * @param string $pk * @return string * @throws SodiumException * @throws TypeError / public static function pk_to_curve25519($pk) { if (self::small_order($pk)) { throw new SodiumException('Public key is on a small order'); } $A = self::ge_frombytes_negate_vartime(self::substr($pk, 0, 32)); $p1 = self::ge_mul_l($A); if (!self::fe_isnonzero($p1->X)) { 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 $sk * @return string * @throws SodiumException * @throws TypeError / public static function sign_detached($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); $hs = hash_init('sha512'); hash_update($hs, self::substr($az, 32, 32)); hash_update($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); $hs = hash_init('sha512'); hash_update($hs, self::substr($sig, 0, 32)); hash_update($hs, self::substr($pk, 0, 32)); hash_update($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_Core_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_Core_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'); } $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 ); $c = 0; $n = 1; $i = 32; /* @var array<int, int> $L / do { --$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) { /* @var array<int, array<int, int>> $blocklist / $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 int $countBlocklist / $countBlocklist = count($blocklist); for ($i = 0; $i < $countBlocklist; ++$i) { $c = 0; for ($j = 0; $j < 32; ++$j) { $c \|= self::chrToInt($R[$j]) ^ (int) $blocklist[$i][$j]; } if ($c === 0) { return true; } } return false; } /* * @param string $s * @return string * @throws SodiumException / public static function scalar_complement($s) { $t_ = self::L . str_repeat("\x00", 32); sodium_increment($t_); $s_ = $s . str_repeat("\x00", 32); ParagonIE_Sodium_Compat::sub($t_, $s_); return self::sc_reduce($t_); } /* * @return string * @throws SodiumException / public static function scalar_random() { do { $r = ParagonIE_Sodium_Compat::randombytes_buf(self::SCALAR_BYTES); $r[self::SCALAR_BYTES - 1] = self::intToChr( self::chrToInt($r[self::SCALAR_BYTES - 1]) & 0x1f ); } while ( !self::check_S_lt_L($r) \|\| ParagonIE_Sodium_Compat::is_zero($r) ); return $r; } /* * @param string $s * @return string * @throws SodiumException / public static function scalar_negate($s) { $t_ = self::L . str_repeat("\x00", 32) ; $s_ = $s . str_repeat("\x00", 32) ; ParagonIE_Sodium_Compat::sub($t_, $s_); return self::sc_reduce($t_); } /* * @param string $a * @param string $b * @return string * @throws SodiumException / public static function scalar_add($a, $b) { $a_ = $a . str_repeat("\x00", 32); $b_ = $b . str_repeat("\x00", 32); ParagonIE_Sodium_Compat::add($a_, $b_); return self::sc_reduce($a_); } /* * @param string $x * @param string $y * @return string * @throws SodiumException */ public static function scalar_sub($x, $y) { $yn = self::scalar_negate($y); return self::scalar_add($x, $yn); } }	17.07 KB	2025-09-05 13:25
📄 HChaCha20.php <?php if (class_exists('ParagonIE_Sodium_Core_HChaCha20', false)) { return; } /** * Class ParagonIE_Sodium_Core_HChaCha20 / class ParagonIE_Sodium_Core_HChaCha20 extends ParagonIE_Sodium_Core_ChaCha20 { /* * @param string $in * @param string $key * @param string\|null $c * @return string * @throws TypeError / public static function hChaCha20($in = '', $key = '', $c = null) { $ctx = array(); if ($c === null) { $ctx[0] = 0x61707865; $ctx[1] = 0x3320646e; $ctx[2] = 0x79622d32; $ctx[3] = 0x6b206574; } else { $ctx[0] = self::load_4(self::substr($c, 0, 4)); $ctx[1] = self::load_4(self::substr($c, 4, 4)); $ctx[2] = self::load_4(self::substr($c, 8, 4)); $ctx[3] = self::load_4(self::substr($c, 12, 4)); } $ctx[4] = self::load_4(self::substr($key, 0, 4)); $ctx[5] = self::load_4(self::substr($key, 4, 4)); $ctx[6] = self::load_4(self::substr($key, 8, 4)); $ctx[7] = self::load_4(self::substr($key, 12, 4)); $ctx[8] = self::load_4(self::substr($key, 16, 4)); $ctx[9] = self::load_4(self::substr($key, 20, 4)); $ctx[10] = self::load_4(self::substr($key, 24, 4)); $ctx[11] = self::load_4(self::substr($key, 28, 4)); $ctx[12] = self::load_4(self::substr($in, 0, 4)); $ctx[13] = self::load_4(self::substr($in, 4, 4)); $ctx[14] = self::load_4(self::substr($in, 8, 4)); $ctx[15] = self::load_4(self::substr($in, 12, 4)); return self::hChaCha20Bytes($ctx); } /* * @param array $ctx * @return string * @throws TypeError */ protected static function hChaCha20Bytes(array $ctx) { $x0 = (int) $ctx[0]; $x1 = (int) $ctx[1]; $x2 = (int) $ctx[2]; $x3 = (int) $ctx[3]; $x4 = (int) $ctx[4]; $x5 = (int) $ctx[5]; $x6 = (int) $ctx[6]; $x7 = (int) $ctx[7]; $x8 = (int) $ctx[8]; $x9 = (int) $ctx[9]; $x10 = (int) $ctx[10]; $x11 = (int) $ctx[11]; $x12 = (int) $ctx[12]; $x13 = (int) $ctx[13]; $x14 = (int) $ctx[14]; $x15 = (int) $ctx[15]; for ($i = 0; $i < 10; ++$i) { # 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, $x14); } return self::store32_le((int) ($x0 & 0xffffffff)) . self::store32_le((int) ($x1 & 0xffffffff)) . self::store32_le((int) ($x2 & 0xffffffff)) . self::store32_le((int) ($x3 & 0xffffffff)) . self::store32_le((int) ($x12 & 0xffffffff)) . self::store32_le((int) ($x13 & 0xffffffff)) . self::store32_le((int) ($x14 & 0xffffffff)) . self::store32_le((int) ($x15 & 0xffffffff)); } }	3.78 KB	2025-09-05 13:25
📄 HSalsa20.php <?php if (class_exists('ParagonIE_Sodium_Core_HSalsa20', false)) { return; } /** * Class ParagonIE_Sodium_Core_HSalsa20 / abstract class ParagonIE_Sodium_Core_HSalsa20 extends ParagonIE_Sodium_Core_Salsa20 { /* * Calculate an hsalsa20 hash of a single block * * HSalsa20 doesn't have a counter and will never be used for more than * one block (used to derive a subkey for xsalsa20). * * @internal You should not use this directly from another application * * @param string $in * @param string $k * @param string\|null $c * @return string * @throws TypeError */ public static function hsalsa20($in, $k, $c = null) { if ($c === null) { $x0 = 0x61707865; $x5 = 0x3320646e; $x10 = 0x79622d32; $x15 = 0x6b206574; } else { $x0 = self::load_4(self::substr($c, 0, 4)); $x5 = self::load_4(self::substr($c, 4, 4)); $x10 = self::load_4(self::substr($c, 8, 4)); $x15 = self::load_4(self::substr($c, 12, 4)); } $x1 = self::load_4(self::substr($k, 0, 4)); $x2 = self::load_4(self::substr($k, 4, 4)); $x3 = self::load_4(self::substr($k, 8, 4)); $x4 = self::load_4(self::substr($k, 12, 4)); $x11 = self::load_4(self::substr($k, 16, 4)); $x12 = self::load_4(self::substr($k, 20, 4)); $x13 = self::load_4(self::substr($k, 24, 4)); $x14 = self::load_4(self::substr($k, 28, 4)); $x6 = self::load_4(self::substr($in, 0, 4)); $x7 = self::load_4(self::substr($in, 4, 4)); $x8 = self::load_4(self::substr($in, 8, 4)); $x9 = self::load_4(self::substr($in, 12, 4)); for ($i = self::ROUNDS; $i > 0; $i -= 2) { $x4 ^= self::rotate($x0 + $x12, 7); $x8 ^= self::rotate($x4 + $x0, 9); $x12 ^= self::rotate($x8 + $x4, 13); $x0 ^= self::rotate($x12 + $x8, 18); $x9 ^= self::rotate($x5 + $x1, 7); $x13 ^= self::rotate($x9 + $x5, 9); $x1 ^= self::rotate($x13 + $x9, 13); $x5 ^= self::rotate($x1 + $x13, 18); $x14 ^= self::rotate($x10 + $x6, 7); $x2 ^= self::rotate($x14 + $x10, 9); $x6 ^= self::rotate($x2 + $x14, 13); $x10 ^= self::rotate($x6 + $x2, 18); $x3 ^= self::rotate($x15 + $x11, 7); $x7 ^= self::rotate($x3 + $x15, 9); $x11 ^= self::rotate($x7 + $x3, 13); $x15 ^= self::rotate($x11 + $x7, 18); $x1 ^= self::rotate($x0 + $x3, 7); $x2 ^= self::rotate($x1 + $x0, 9); $x3 ^= self::rotate($x2 + $x1, 13); $x0 ^= self::rotate($x3 + $x2, 18); $x6 ^= self::rotate($x5 + $x4, 7); $x7 ^= self::rotate($x6 + $x5, 9); $x4 ^= self::rotate($x7 + $x6, 13); $x5 ^= self::rotate($x4 + $x7, 18); $x11 ^= self::rotate($x10 + $x9, 7); $x8 ^= self::rotate($x11 + $x10, 9); $x9 ^= self::rotate($x8 + $x11, 13); $x10 ^= self::rotate($x9 + $x8, 18); $x12 ^= self::rotate($x15 + $x14, 7); $x13 ^= self::rotate($x12 + $x15, 9); $x14 ^= self::rotate($x13 + $x12, 13); $x15 ^= self::rotate($x14 + $x13, 18); } return self::store32_le($x0) . self::store32_le($x5) . self::store32_le($x10) . self::store32_le($x15) . self::store32_le($x6) . self::store32_le($x7) . self::store32_le($x8) . self::store32_le($x9); } }	3.59 KB	2025-09-05 13:25
📁 Poly1305	-	2025-09-05 13:25
📄 Poly1305.php <?php if (class_exists('ParagonIE_Sodium_Core_Poly1305', false)) { return; } /** * Class ParagonIE_Sodium_Core_Poly1305 / abstract class ParagonIE_Sodium_Core_Poly1305 extends ParagonIE_Sodium_Core_Util { const BLOCK_SIZE = 16; /* * @internal You should not use this directly from another application * * @param string $m * @param string $key * @return string * @throws SodiumException * @throws TypeError / public static function onetimeauth($m, $key) { if (self::strlen($key) < 32) { throw new InvalidArgumentException( 'Key must be 32 bytes long.' ); } $state = new ParagonIE_Sodium_Core_Poly1305_State( self::substr($key, 0, 32) ); return $state ->update($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.' ); } $state = new ParagonIE_Sodium_Core_Poly1305_State( self::substr($key, 0, 32) ); $calc = $state ->update($m) ->finish(); return self::verify_16($calc, $mac); } }	1.54 KB	2025-09-05 13:25
📄 Ristretto255.php <?php /** * Class ParagonIE_Sodium_Core_Ristretto255 / class ParagonIE_Sodium_Core_Ristretto255 extends ParagonIE_Sodium_Core_Ed25519 { const crypto_core_ristretto255_HASHBYTES = 64; const HASH_SC_L = 48; const CORE_H2C_SHA256 = 1; const CORE_H2C_SHA512 = 2; /* * @param ParagonIE_Sodium_Core_Curve25519_Fe $f * @param int $b * @return ParagonIE_Sodium_Core_Curve25519_Fe / public static function fe_cneg(ParagonIE_Sodium_Core_Curve25519_Fe $f, $b) { $negf = self::fe_neg($f); return self::fe_cmov($f, $negf, $b); } /* * @param ParagonIE_Sodium_Core_Curve25519_Fe $f * @return ParagonIE_Sodium_Core_Curve25519_Fe * @throws SodiumException / public static function fe_abs(ParagonIE_Sodium_Core_Curve25519_Fe $f) { return self::fe_cneg($f, self::fe_isnegative($f)); } /* * Returns 0 if this field element results in all NUL bytes. * * @internal You should not use this directly from another application * * @param ParagonIE_Sodium_Core_Curve25519_Fe $f * @return int * @throws SodiumException / public static function fe_iszero(ParagonIE_Sodium_Core_Curve25519_Fe $f) { static $zero; if ($zero === null) { $zero = str_repeat("\x00", 32); } /* @var string $zero / $str = self::fe_tobytes($f); $d = 0; for ($i = 0; $i < 32; ++$i) { $d \|= self::chrToInt($str[$i]); } return (($d - 1) >> 31) & 1; } /* * @param ParagonIE_Sodium_Core_Curve25519_Fe $u * @param ParagonIE_Sodium_Core_Curve25519_Fe $v * @return array{x: ParagonIE_Sodium_Core_Curve25519_Fe, nonsquare: int} * * @throws SodiumException / public static function ristretto255_sqrt_ratio_m1( ParagonIE_Sodium_Core_Curve25519_Fe $u, ParagonIE_Sodium_Core_Curve25519_Fe $v ) { $sqrtm1 = ParagonIE_Sodium_Core_Curve25519_Fe::fromArray(self::$sqrtm1); $v3 = self::fe_mul( self::fe_sq($v), $v ); / v3 = v^3 / $x = self::fe_mul( self::fe_mul( self::fe_sq($v3), $u ), $v ); / x = uv^7 / $x = self::fe_mul( self::fe_mul( self::fe_pow22523($x), / x = (uv^7)^((q-5)/8) / $v3 ), $u ); / x = uv^3(uv^7)^((q-5)/8) / $vxx = self::fe_mul( self::fe_sq($x), $v ); / vx^2 / $m_root_check = self::fe_sub($vxx, $u); / vx^2-u / $p_root_check = self::fe_add($vxx, $u); / vx^2+u / $f_root_check = self::fe_mul($u, $sqrtm1); / usqrt(-1) / $f_root_check = self::fe_add($vxx, $f_root_check); /* vx^2+usqrt(-1) / $has_m_root = self::fe_iszero($m_root_check); $has_p_root = self::fe_iszero($p_root_check); $has_f_root = self::fe_iszero($f_root_check); $x_sqrtm1 = self::fe_mul($x, $sqrtm1); /* xsqrt(-1) / $x = self::fe_abs( self::fe_cmov($x, $x_sqrtm1, $has_p_root \| $has_f_root) ); return array( 'x' => $x, 'nonsquare' => $has_m_root \| $has_p_root ); } /** * @param string $s * @return int * @throws SodiumException / public static function ristretto255_point_is_canonical($s) { $c = (self::chrToInt($s[31]) & 0x7f) ^ 0x7f; for ($i = 30; $i > 0; --$i) { $c \|= self::chrToInt($s[$i]) ^ 0xff; } $c = ($c - 1) >> 8; $d = (0xed - 1 - self::chrToInt($s[0])) >> 8; $e = self::chrToInt($s[31]) >> 7; return 1 - ((($c & $d) \| $e \| self::chrToInt($s[0])) & 1); } /* * @param string $s * @param bool $skipCanonicalCheck * @return array{h: ParagonIE_Sodium_Core_Curve25519_Ge_P3, res: int} * @throws SodiumException / public static function ristretto255_frombytes($s, $skipCanonicalCheck = false) { if (!$skipCanonicalCheck) { if (!self::ristretto255_point_is_canonical($s)) { throw new SodiumException('S is not canonical'); } } $s_ = self::fe_frombytes($s); $ss = self::fe_sq($s_); / ss = s^2 / $u1 = self::fe_sub(self::fe_1(), $ss); / u1 = 1-ss / $u1u1 = self::fe_sq($u1); / u1u1 = u1^2 / $u2 = self::fe_add(self::fe_1(), $ss); / u2 = 1+ss / $u2u2 = self::fe_sq($u2); / u2u2 = u2^2 / $v = self::fe_mul( ParagonIE_Sodium_Core_Curve25519_Fe::fromArray(self::$d), $u1u1 ); / v = du1^2 / $v = self::fe_neg($v); /* v = -du1^2 / $v = self::fe_sub($v, $u2u2); /* v = -(du1^2)-u2^2 / $v_u2u2 = self::fe_mul($v, $u2u2); /* v_u2u2 = vu2^2 / // fe25519_1(one); // notsquare = ristretto255_sqrt_ratio_m1(inv_sqrt, one, v_u2u2); $one = self::fe_1(); $result = self::ristretto255_sqrt_ratio_m1($one, $v_u2u2); $inv_sqrt = $result['x']; $notsquare = $result['nonsquare']; $h = new ParagonIE_Sodium_Core_Curve25519_Ge_P3(); $h->X = self::fe_mul($inv_sqrt, $u2); $h->Y = self::fe_mul(self::fe_mul($inv_sqrt, $h->X), $v); $h->X = self::fe_mul($h->X, $s_); $h->X = self::fe_abs( self::fe_add($h->X, $h->X) ); $h->Y = self::fe_mul($u1, $h->Y); $h->Z = self::fe_1(); $h->T = self::fe_mul($h->X, $h->Y); $res = - ((1 - $notsquare) \| self::fe_isnegative($h->T) \| self::fe_iszero($h->Y)); return array('h' => $h, 'res' => $res); } /** * @param ParagonIE_Sodium_Core_Curve25519_Ge_P3 $h * @return string * @throws SodiumException / public static function ristretto255_p3_tobytes(ParagonIE_Sodium_Core_Curve25519_Ge_P3 $h) { $sqrtm1 = ParagonIE_Sodium_Core_Curve25519_Fe::fromArray(self::$sqrtm1); $invsqrtamd = ParagonIE_Sodium_Core_Curve25519_Fe::fromArray(self::$invsqrtamd); $u1 = self::fe_add($h->Z, $h->Y); / u1 = Z+Y / $zmy = self::fe_sub($h->Z, $h->Y); / zmy = Z-Y / $u1 = self::fe_mul($u1, $zmy); / u1 = (Z+Y)(Z-Y) / $u2 = self::fe_mul($h->X, $h->Y); /* u2 = XY / $u1_u2u2 = self::fe_mul(self::fe_sq($u2), $u1); /* u1_u2u2 = u1u2^2 / $one = self::fe_1(); // fe25519_1(one); // (void) ristretto255_sqrt_ratio_m1(inv_sqrt, one, u1_u2u2); $result = self::ristretto255_sqrt_ratio_m1($one, $u1_u2u2); $inv_sqrt = $result['x']; $den1 = self::fe_mul($inv_sqrt, $u1); /* den1 = inv_sqrtu1 / $den2 = self::fe_mul($inv_sqrt, $u2); /* den2 = inv_sqrtu2 / $z_inv = self::fe_mul($h->T, self::fe_mul($den1, $den2)); /* z_inv = den1den2T / $ix = self::fe_mul($h->X, $sqrtm1); / ix = Xsqrt(-1) / $iy = self::fe_mul($h->Y, $sqrtm1); /* iy = Ysqrt(-1) / $eden = self::fe_mul($den1, $invsqrtamd); $t_z_inv = self::fe_mul($h->T, $z_inv); /* t_z_inv = Tz_inv / $rotate = self::fe_isnegative($t_z_inv); $x_ = self::fe_copy($h->X); $y_ = self::fe_copy($h->Y); $den_inv = self::fe_copy($den2); $x_ = self::fe_cmov($x_, $iy, $rotate); $y_ = self::fe_cmov($y_, $ix, $rotate); $den_inv = self::fe_cmov($den_inv, $eden, $rotate); $x_z_inv = self::fe_mul($x_, $z_inv); $y_ = self::fe_cneg($y_, self::fe_isnegative($x_z_inv)); // fe25519_sub(s_, h->Z, y_); // fe25519_mul(s_, den_inv, s_); // fe25519_abs(s_, s_); // fe25519_tobytes(s, s_); return self::fe_tobytes( self::fe_abs( self::fe_mul( $den_inv, self::fe_sub($h->Z, $y_) ) ) ); } /** * @param ParagonIE_Sodium_Core_Curve25519_Fe $t * @return ParagonIE_Sodium_Core_Curve25519_Ge_P3 * * @throws SodiumException / public static function ristretto255_elligator(ParagonIE_Sodium_Core_Curve25519_Fe $t) { $sqrtm1 = ParagonIE_Sodium_Core_Curve25519_Fe::fromArray(self::$sqrtm1); $onemsqd = ParagonIE_Sodium_Core_Curve25519_Fe::fromArray(self::$onemsqd); $d = ParagonIE_Sodium_Core_Curve25519_Fe::fromArray(self::$d); $sqdmone = ParagonIE_Sodium_Core_Curve25519_Fe::fromArray(self::$sqdmone); $sqrtadm1 = ParagonIE_Sodium_Core_Curve25519_Fe::fromArray(self::$sqrtadm1); $one = self::fe_1(); $r = self::fe_mul($sqrtm1, self::fe_sq($t)); / r = sqrt(-1)t^2 / $u = self::fe_mul(self::fe_add($r, $one), $onemsqd); /* u = (r+1)(1-d^2) / $c = self::fe_neg(self::fe_1()); /* c = -1 / $rpd = self::fe_add($r, $d); / rpd = r+d / $v = self::fe_mul( self::fe_sub( $c, self::fe_mul($r, $d) ), $rpd ); / v = (c-rd)(r+d) / $result = self::ristretto255_sqrt_ratio_m1($u, $v); $s = $result['x']; $wasnt_square = 1 - $result['nonsquare']; $s_prime = self::fe_neg( self::fe_abs( self::fe_mul($s, $t) ) ); / s_prime = -\|st\| / $s = self::fe_cmov($s, $s_prime, $wasnt_square); $c = self::fe_cmov($c, $r, $wasnt_square); // fe25519_sub(n, r, one); /* n = r-1 / // fe25519_mul(n, n, c); / n = c(r-1) / // fe25519_mul(n, n, ed25519_sqdmone); /* n = c(r-1)(d-1)^2 / // fe25519_sub(n, n, v); / n = c(r-1)(d-1)^2-v / $n = self::fe_sub( self::fe_mul( self::fe_mul( self::fe_sub($r, $one), $c ), $sqdmone ), $v ); / n = c(r-1)(d-1)^2-v / $w0 = self::fe_mul( self::fe_add($s, $s), $v ); / w0 = 2sv / $w1 = self::fe_mul($n, $sqrtadm1); /* w1 = nsqrt(ad-1) / $ss = self::fe_sq($s); /* ss = s^2 / $w2 = self::fe_sub($one, $ss); / w2 = 1-s^2 / $w3 = self::fe_add($one, $ss); / w3 = 1+s^2 / return new ParagonIE_Sodium_Core_Curve25519_Ge_P3( self::fe_mul($w0, $w3), self::fe_mul($w2, $w1), self::fe_mul($w1, $w3), self::fe_mul($w0, $w2) ); } /* * @param string $h * @return string * @throws SodiumException / public static function ristretto255_from_hash($h) { if (self::strlen($h) !== 64) { throw new SodiumException('Hash must be 64 bytes'); } //fe25519_frombytes(r0, h); //fe25519_frombytes(r1, h + 32); $r0 = self::fe_frombytes(self::substr($h, 0, 32)); $r1 = self::fe_frombytes(self::substr($h, 32, 32)); //ristretto255_elligator(&p0, r0); //ristretto255_elligator(&p1, r1); $p0 = self::ristretto255_elligator($r0); $p1 = self::ristretto255_elligator($r1); //ge25519_p3_to_cached(&p1_cached, &p1); //ge25519_add_cached(&p_p1p1, &p0, &p1_cached); $p_p1p1 = self::ge_add( $p0, self::ge_p3_to_cached($p1) ); //ge25519_p1p1_to_p3(&p, &p_p1p1); //ristretto255_p3_tobytes(s, &p); return self::ristretto255_p3_tobytes( self::ge_p1p1_to_p3($p_p1p1) ); } /* * @param string $p * @return int * @throws SodiumException / public static function is_valid_point($p) { $result = self::ristretto255_frombytes($p); if ($result['res'] !== 0) { return 0; } return 1; } /* * @param string $p * @param string $q * @return string * @throws SodiumException / public static function ristretto255_add($p, $q) { $p_res = self::ristretto255_frombytes($p); $q_res = self::ristretto255_frombytes($q); if ($p_res['res'] !== 0 \|\| $q_res['res'] !== 0) { throw new SodiumException('Could not add points'); } $p_p3 = $p_res['h']; $q_p3 = $q_res['h']; $q_cached = self::ge_p3_to_cached($q_p3); $r_p1p1 = self::ge_add($p_p3, $q_cached); $r_p3 = self::ge_p1p1_to_p3($r_p1p1); return self::ristretto255_p3_tobytes($r_p3); } /* * @param string $p * @param string $q * @return string * @throws SodiumException / public static function ristretto255_sub($p, $q) { $p_res = self::ristretto255_frombytes($p); $q_res = self::ristretto255_frombytes($q); if ($p_res['res'] !== 0 \|\| $q_res['res'] !== 0) { throw new SodiumException('Could not add points'); } $p_p3 = $p_res['h']; $q_p3 = $q_res['h']; $q_cached = self::ge_p3_to_cached($q_p3); $r_p1p1 = self::ge_sub($p_p3, $q_cached); $r_p3 = self::ge_p1p1_to_p3($r_p1p1); return self::ristretto255_p3_tobytes($r_p3); } /* * @param int $hLen * @param ?string $ctx * @param string $msg * @return string * @throws SodiumException * @psalm-suppress PossiblyInvalidArgument hash API / protected static function h2c_string_to_hash_sha256($hLen, $ctx, $msg) { $h = array_fill(0, $hLen, 0); $ctx_len = !is_null($ctx) ? self::strlen($ctx) : 0; if ($hLen > 0xff) { throw new SodiumException('Hash must be less than 256 bytes'); } if ($ctx_len > 0xff) { $st = hash_init('sha256'); self::hash_update($st, "H2C-OVERSIZE-DST-"); self::hash_update($st, $ctx); $ctx = hash_final($st, true); $ctx_len = 32; } $t = array(0, $hLen, 0); $ux = str_repeat("\0", 64); $st = hash_init('sha256'); self::hash_update($st, $ux); self::hash_update($st, $msg); self::hash_update($st, self::intArrayToString($t)); self::hash_update($st, $ctx); self::hash_update($st, self::intToChr($ctx_len)); $u0 = hash_final($st, true); for ($i = 0; $i < $hLen; $i += 64) { $ux = self::xorStrings($ux, $u0); ++$t[2]; $st = hash_init('sha256'); self::hash_update($st, $ux); self::hash_update($st, self::intToChr($t[2])); self::hash_update($st, $ctx); self::hash_update($st, self::intToChr($ctx_len)); $ux = hash_final($st, true); $amount = min($hLen - $i, 64); for ($j = 0; $j < $amount; ++$j) { $h[$i + $j] = self::chrToInt($ux[$i]); } } return self::intArrayToString(array_slice($h, 0, $hLen)); } /* * @param int $hLen * @param ?string $ctx * @param string $msg * @return string * @throws SodiumException * @psalm-suppress PossiblyInvalidArgument hash API / protected static function h2c_string_to_hash_sha512($hLen, $ctx, $msg) { $h = array_fill(0, $hLen, 0); $ctx_len = !is_null($ctx) ? self::strlen($ctx) : 0; if ($hLen > 0xff) { throw new SodiumException('Hash must be less than 256 bytes'); } if ($ctx_len > 0xff) { $st = hash_init('sha256'); self::hash_update($st, "H2C-OVERSIZE-DST-"); self::hash_update($st, $ctx); $ctx = hash_final($st, true); $ctx_len = 32; } $t = array(0, $hLen, 0); $ux = str_repeat("\0", 128); $st = hash_init('sha512'); self::hash_update($st, $ux); self::hash_update($st, $msg); self::hash_update($st, self::intArrayToString($t)); self::hash_update($st, $ctx); self::hash_update($st, self::intToChr($ctx_len)); $u0 = hash_final($st, true); for ($i = 0; $i < $hLen; $i += 128) { $ux = self::xorStrings($ux, $u0); ++$t[2]; $st = hash_init('sha512'); self::hash_update($st, $ux); self::hash_update($st, self::intToChr($t[2])); self::hash_update($st, $ctx); self::hash_update($st, self::intToChr($ctx_len)); $ux = hash_final($st, true); $amount = min($hLen - $i, 128); for ($j = 0; $j < $amount; ++$j) { $h[$i + $j] = self::chrToInt($ux[$i]); } } return self::intArrayToString(array_slice($h, 0, $hLen)); } /* * @param int $hLen * @param ?string $ctx * @param string $msg * @param int $hash_alg * @return string * @throws SodiumException / public static function h2c_string_to_hash($hLen, $ctx, $msg, $hash_alg) { switch ($hash_alg) { case self::CORE_H2C_SHA256: return self::h2c_string_to_hash_sha256($hLen, $ctx, $msg); case self::CORE_H2C_SHA512: return self::h2c_string_to_hash_sha512($hLen, $ctx, $msg); default: throw new SodiumException('Invalid H2C hash algorithm'); } } /* * @param ?string $ctx * @param string $msg * @param int $hash_alg * @return string * @throws SodiumException / protected static function _string_to_element($ctx, $msg, $hash_alg) { return self::ristretto255_from_hash( self::h2c_string_to_hash(self::crypto_core_ristretto255_HASHBYTES, $ctx, $msg, $hash_alg) ); } /* * @return string * @throws SodiumException * @throws Exception / public static function ristretto255_random() { return self::ristretto255_from_hash( ParagonIE_Sodium_Compat::randombytes_buf(self::crypto_core_ristretto255_HASHBYTES) ); } /* * @return string * @throws SodiumException / public static function ristretto255_scalar_random() { return self::scalar_random(); } /* * @param string $s * @return string * @throws SodiumException / public static function ristretto255_scalar_complement($s) { return self::scalar_complement($s); } /* * @param string $s * @return string / public static function ristretto255_scalar_invert($s) { return self::sc25519_invert($s); } /* * @param string $s * @return string * @throws SodiumException / public static function ristretto255_scalar_negate($s) { return self::scalar_negate($s); } /* * @param string $x * @param string $y * @return string / public static function ristretto255_scalar_add($x, $y) { return self::scalar_add($x, $y); } /* * @param string $x * @param string $y * @return string / public static function ristretto255_scalar_sub($x, $y) { return self::scalar_sub($x, $y); } /* * @param string $x * @param string $y * @return string / public static function ristretto255_scalar_mul($x, $y) { return self::sc25519_mul($x, $y); } /* * @param string $ctx * @param string $msg * @param int $hash_alg * @return string * @throws SodiumException / public static function ristretto255_scalar_from_string($ctx, $msg, $hash_alg) { $h = array_fill(0, 64, 0); $h_be = self::stringToIntArray( self::h2c_string_to_hash( self::HASH_SC_L, $ctx, $msg, $hash_alg ) ); for ($i = 0; $i < self::HASH_SC_L; ++$i) { $h[$i] = $h_be[self::HASH_SC_L - 1 - $i]; } return self::ristretto255_scalar_reduce(self::intArrayToString($h)); } /* * @param string $s * @return string / public static function ristretto255_scalar_reduce($s) { return self::sc_reduce($s); } /* * @param string $n * @param string $p * @return string * @throws SodiumException / public static function scalarmult_ristretto255($n, $p) { if (self::strlen($n) !== 32) { throw new SodiumException('Scalar must be 32 bytes, ' . self::strlen($p) . ' given.'); } if (self::strlen($p) !== 32) { throw new SodiumException('Point must be 32 bytes, ' . self::strlen($p) . ' given.'); } $result = self::ristretto255_frombytes($p); if ($result['res'] !== 0) { throw new SodiumException('Could not multiply points'); } $P = $result['h']; $t = self::stringToIntArray($n); $t[31] &= 0x7f; $Q = self::ge_scalarmult(self::intArrayToString($t), $P); $q = self::ristretto255_p3_tobytes($Q); if (ParagonIE_Sodium_Compat::is_zero($q)) { throw new SodiumException('An unknown error has occurred'); } return $q; } /* * @param string $n * @return string * @throws SodiumException */ public static function scalarmult_ristretto255_base($n) { $t = self::stringToIntArray($n); $t[31] &= 0x7f; $Q = self::ge_scalarmult_base(self::intArrayToString($t)); $q = self::ristretto255_p3_tobytes($Q); if (ParagonIE_Sodium_Compat::is_zero($q)) { throw new SodiumException('An unknown error has occurred'); } return $q; } }	21.37 KB	2025-09-05 13:25
📄 Salsa20.php <?php if (class_exists('ParagonIE_Sodium_Core_Salsa20', false)) { return; } /** * Class ParagonIE_Sodium_Core_Salsa20 / abstract class ParagonIE_Sodium_Core_Salsa20 extends ParagonIE_Sodium_Core_Util { const ROUNDS = 20; /* * Calculate an salsa20 hash of a single block * * @internal You should not use this directly from another application * * @param string $in * @param string $k * @param string\|null $c * @return string * @throws TypeError / public static function core_salsa20($in, $k, $c = null) { if (self::strlen($k) < 32) { throw new RangeException('Key must be 32 bytes long'); } if ($c === null) { $j0 = $x0 = 0x61707865; $j5 = $x5 = 0x3320646e; $j10 = $x10 = 0x79622d32; $j15 = $x15 = 0x6b206574; } else { $j0 = $x0 = self::load_4(self::substr($c, 0, 4)); $j5 = $x5 = self::load_4(self::substr($c, 4, 4)); $j10 = $x10 = self::load_4(self::substr($c, 8, 4)); $j15 = $x15 = self::load_4(self::substr($c, 12, 4)); } $j1 = $x1 = self::load_4(self::substr($k, 0, 4)); $j2 = $x2 = self::load_4(self::substr($k, 4, 4)); $j3 = $x3 = self::load_4(self::substr($k, 8, 4)); $j4 = $x4 = self::load_4(self::substr($k, 12, 4)); $j6 = $x6 = self::load_4(self::substr($in, 0, 4)); $j7 = $x7 = self::load_4(self::substr($in, 4, 4)); $j8 = $x8 = self::load_4(self::substr($in, 8, 4)); $j9 = $x9 = self::load_4(self::substr($in, 12, 4)); $j11 = $x11 = self::load_4(self::substr($k, 16, 4)); $j12 = $x12 = self::load_4(self::substr($k, 20, 4)); $j13 = $x13 = self::load_4(self::substr($k, 24, 4)); $j14 = $x14 = self::load_4(self::substr($k, 28, 4)); for ($i = self::ROUNDS; $i > 0; $i -= 2) { $x4 ^= self::rotate($x0 + $x12, 7); $x8 ^= self::rotate($x4 + $x0, 9); $x12 ^= self::rotate($x8 + $x4, 13); $x0 ^= self::rotate($x12 + $x8, 18); $x9 ^= self::rotate($x5 + $x1, 7); $x13 ^= self::rotate($x9 + $x5, 9); $x1 ^= self::rotate($x13 + $x9, 13); $x5 ^= self::rotate($x1 + $x13, 18); $x14 ^= self::rotate($x10 + $x6, 7); $x2 ^= self::rotate($x14 + $x10, 9); $x6 ^= self::rotate($x2 + $x14, 13); $x10 ^= self::rotate($x6 + $x2, 18); $x3 ^= self::rotate($x15 + $x11, 7); $x7 ^= self::rotate($x3 + $x15, 9); $x11 ^= self::rotate($x7 + $x3, 13); $x15 ^= self::rotate($x11 + $x7, 18); $x1 ^= self::rotate($x0 + $x3, 7); $x2 ^= self::rotate($x1 + $x0, 9); $x3 ^= self::rotate($x2 + $x1, 13); $x0 ^= self::rotate($x3 + $x2, 18); $x6 ^= self::rotate($x5 + $x4, 7); $x7 ^= self::rotate($x6 + $x5, 9); $x4 ^= self::rotate($x7 + $x6, 13); $x5 ^= self::rotate($x4 + $x7, 18); $x11 ^= self::rotate($x10 + $x9, 7); $x8 ^= self::rotate($x11 + $x10, 9); $x9 ^= self::rotate($x8 + $x11, 13); $x10 ^= self::rotate($x9 + $x8, 18); $x12 ^= self::rotate($x15 + $x14, 7); $x13 ^= self::rotate($x12 + $x15, 9); $x14 ^= self::rotate($x13 + $x12, 13); $x15 ^= self::rotate($x14 + $x13, 18); } $x0 += $j0; $x1 += $j1; $x2 += $j2; $x3 += $j3; $x4 += $j4; $x5 += $j5; $x6 += $j6; $x7 += $j7; $x8 += $j8; $x9 += $j9; $x10 += $j10; $x11 += $j11; $x12 += $j12; $x13 += $j13; $x14 += $j14; $x15 += $j15; return self::store32_le($x0) . self::store32_le($x1) . self::store32_le($x2) . self::store32_le($x3) . self::store32_le($x4) . self::store32_le($x5) . self::store32_le($x6) . self::store32_le($x7) . self::store32_le($x8) . self::store32_le($x9) . self::store32_le($x10) . self::store32_le($x11) . self::store32_le($x12) . self::store32_le($x13) . self::store32_le($x14) . self::store32_le($x15); } /* * @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 $in .= ParagonIE_Sodium_Core_Util::store64_le($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 ) ); } /* * @internal You should not use this directly from another application * * @param int $u * @param int $c * @return int */ public static function rotate($u, $c) { $u &= 0xffffffff; $c %= 32; return (int) (0xffffffff & ( ($u << $c) \| ($u >> (32 - $c)) ) ); } }	8.04 KB	2025-09-05 13:25
📁 SecretStream	-	2025-09-05 13:25
📄 SipHash.php <?php if (class_exists('ParagonIE_Sodium_Core_SipHash', false)) { return; } /** * Class ParagonIE_SodiumCompat_Core_SipHash * * Only uses 32-bit arithmetic, while the original SipHash used 64-bit integers / class ParagonIE_Sodium_Core_SipHash extends ParagonIE_Sodium_Core_Util { /* * @internal You should not use this directly from another application * * @param int[] $v * @return int[] * / public static function sipRound(array $v) { # v0 += v1; list($v[0], $v[1]) = self::add( array($v[0], $v[1]), array($v[2], $v[3]) ); # v1=ROTL(v1,13); list($v[2], $v[3]) = self::rotl_64((int) $v[2], (int) $v[3], 13); # v1 ^= v0; $v[2] = (int) $v[2] ^ (int) $v[0]; $v[3] = (int) $v[3] ^ (int) $v[1]; # v0=ROTL(v0,32); list($v[0], $v[1]) = self::rotl_64((int) $v[0], (int) $v[1], 32); # v2 += v3; list($v[4], $v[5]) = self::add( array((int) $v[4], (int) $v[5]), array((int) $v[6], (int) $v[7]) ); # v3=ROTL(v3,16); list($v[6], $v[7]) = self::rotl_64((int) $v[6], (int) $v[7], 16); # v3 ^= v2; $v[6] = (int) $v[6] ^ (int) $v[4]; $v[7] = (int) $v[7] ^ (int) $v[5]; # v0 += v3; list($v[0], $v[1]) = self::add( array((int) $v[0], (int) $v[1]), array((int) $v[6], (int) $v[7]) ); # v3=ROTL(v3,21); list($v[6], $v[7]) = self::rotl_64((int) $v[6], (int) $v[7], 21); # v3 ^= v0; $v[6] = (int) $v[6] ^ (int) $v[0]; $v[7] = (int) $v[7] ^ (int) $v[1]; # v2 += v1; list($v[4], $v[5]) = self::add( array((int) $v[4], (int) $v[5]), array((int) $v[2], (int) $v[3]) ); # v1=ROTL(v1,17); list($v[2], $v[3]) = self::rotl_64((int) $v[2], (int) $v[3], 17); # v1 ^= v2;; $v[2] = (int) $v[2] ^ (int) $v[4]; $v[3] = (int) $v[3] ^ (int) $v[5]; # v2=ROTL(v2,32) list($v[4], $v[5]) = self::rotl_64((int) $v[4], (int) $v[5], 32); return $v; } /* * Add two 32 bit integers representing a 64-bit integer. * * @internal You should not use this directly from another application * * @param int[] $a * @param int[] $b * @return array<int, mixed> / public static function add(array $a, array $b) { /* @var int $x1 / $x1 = $a[1] + $b[1]; /* @var int $c / $c = $x1 >> 32; // Carry if ($a + $b) > 0xffffffff /* @var int $x0 / $x0 = $a[0] + $b[0] + $c; return array( $x0 & 0xffffffff, $x1 & 0xffffffff ); } /* * @internal You should not use this directly from another application * * @param int $int0 * @param int $int1 * @param int $c * @return array<int, mixed> / public static function rotl_64($int0, $int1, $c) { $int0 &= 0xffffffff; $int1 &= 0xffffffff; $c &= 63; if ($c === 32) { return array($int1, $int0); } if ($c > 31) { $tmp = $int1; $int1 = $int0; $int0 = $tmp; $c &= 31; } if ($c === 0) { return array($int0, $int1); } return array( 0xffffffff & ( ($int0 << $c) \| ($int1 >> (32 - $c)) ), 0xffffffff & ( ($int1 << $c) \| ($int0 >> (32 - $c)) ), ); } /* * Implements Siphash-2-4 using only 32-bit numbers. * * When we split an int into two, the higher bits go to the lower index. * e.g. 0xDEADBEEFAB10C92D becomes [ * 0 => 0xDEADBEEF, * 1 => 0xAB10C92D * ]. * * @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( 0x736f6d65, // 0 0x70736575, // 1 0x646f7261, // 2 0x6e646f6d, // 3 0x6c796765, // 4 0x6e657261, // 5 0x74656462, // 6 0x79746573 // 7 ); // v0 => $v[0], $v[1] // v1 => $v[2], $v[3] // v2 => $v[4], $v[5] // v3 => $v[6], $v[7] # u64 k0 = LOAD64_LE( k ); # u64 k1 = LOAD64_LE( k + 8 ); $k = array( self::load_4(self::substr($key, 4, 4)), self::load_4(self::substr($key, 0, 4)), self::load_4(self::substr($key, 12, 4)), self::load_4(self::substr($key, 8, 4)) ); // k0 => $k[0], $k[1] // k1 => $k[2], $k[3] # b = ( ( u64 )inlen ) << 56; $b = array( $inlen << 24, 0 ); // See docblock for why the 0th index gets the higher bits. # v3 ^= k1; $v[6] ^= $k[2]; $v[7] ^= $k[3]; # v2 ^= k0; $v[4] ^= $k[0]; $v[5] ^= $k[1]; # v1 ^= k1; $v[2] ^= $k[2]; $v[3] ^= $k[3]; # v0 ^= k0; $v[0] ^= $k[0]; $v[1] ^= $k[1]; $left = $inlen; # for ( ; in != end; in += 8 ) while ($left >= 8) { # m = LOAD64_LE( in ); $m = array( self::load_4(self::substr($in, 4, 4)), self::load_4(self::substr($in, 0, 4)) ); # v3 ^= m; $v[6] ^= $m[0]; $v[7] ^= $m[1]; # SIPROUND; # SIPROUND; $v = self::sipRound($v); $v = self::sipRound($v); # v0 ^= m; $v[0] ^= $m[0]; $v[1] ^= $m[1]; $in = self::substr($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: $b[0] \|= self::chrToInt($in[6]) << 16; case 6: $b[0] \|= self::chrToInt($in[5]) << 8; case 5: $b[0] \|= self::chrToInt($in[4]); case 4: $b[1] \|= self::chrToInt($in[3]) << 24; case 3: $b[1] \|= self::chrToInt($in[2]) << 16; case 2: $b[1] \|= self::chrToInt($in[1]) << 8; case 1: $b[1] \|= self::chrToInt($in[0]); case 0: break; } // See docblock for why the 0th index gets the higher bits. # v3 ^= b; $v[6] ^= $b[0]; $v[7] ^= $b[1]; # SIPROUND; # SIPROUND; $v = self::sipRound($v); $v = self::sipRound($v); # v0 ^= b; $v[0] ^= $b[0]; $v[1] ^= $b[1]; // Flip the lower 8 bits of v2 which is ($v[4], $v[5]) in our implementation # v2 ^= 0xff; $v[5] ^= 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 self::store32_le($v[1] ^ $v[3] ^ $v[5] ^ $v[7]) . self::store32_le($v[0] ^ $v[2] ^ $v[4] ^ $v[6]); } }	8.04 KB	2025-09-05 13:25
📄 Util.php <?php if (class_exists('ParagonIE_Sodium_Core_Util', false)) { return; } /** * Class ParagonIE_Sodium_Core_Util / abstract class ParagonIE_Sodium_Core_Util { const U32_MAX = 0xFFFFFFFF; /* * @param int $integer * @param int $size (16, 32, 64) * @return int / public static function abs($integer, $size = 0) { /* @var int $realSize / $realSize = (PHP_INT_SIZE << 3) - 1; if ($size) { --$size; } else { /* @var int $size / $size = $realSize; } $negative = -(($integer >> $size) & 1); return (int) ( ($integer ^ $negative) + (($negative >> $realSize) & 1) ); } /* * @param string $a * @param string $b * @return string * @throws SodiumException / public static function andStrings($a, $b) { / Type checks: / if (!is_string($a)) { throw new TypeError('Argument 1 must be a string'); } if (!is_string($b)) { throw new TypeError('Argument 2 must be a string'); } $len = self::strlen($a); if (self::strlen($b) !== $len) { throw new SodiumException('Both strings must be of equal length to combine with bitwise AND'); } return $a & $b; } /* * Convert a binary string into a hexadecimal string without cache-timing * leaks * * @internal You should not use this directly from another application * * @param string $binaryString (raw binary) * @return string * @throws TypeError / public static function bin2hex($binaryString) { / Type checks: / if (!is_string($binaryString)) { throw new TypeError('Argument 1 must be a string, ' . gettype($binaryString) . ' given.'); } $hex = ''; $len = self::strlen($binaryString); for ($i = 0; $i < $len; ++$i) { /* @var array<int, int> $chunk / $chunk = unpack('C', $binaryString[$i]); /* @var int $c / $c = $chunk[1] & 0xf; /* @var int $b / $b = $chunk[1] >> 4; $hex .= pack( 'CC', (87 + $b + ((($b - 10) >> 8) & ~38)), (87 + $c + ((($c - 10) >> 8) & ~38)) ); } return $hex; } /* * Convert a binary string into a hexadecimal string without cache-timing * leaks, returning uppercase letters (as per RFC 4648) * * @internal You should not use this directly from another application * * @param string $bin_string (raw binary) * @return string * @throws TypeError / public static function bin2hexUpper($bin_string) { $hex = ''; $len = self::strlen($bin_string); for ($i = 0; $i < $len; ++$i) { /* @var array<int, int> $chunk / $chunk = unpack('C', $bin_string[$i]); /* * Lower 16 bits * * @var int $c / $c = $chunk[1] & 0xf; /* * Upper 16 bits * @var int $b / $b = $chunk[1] >> 4; /* * Use pack() and binary operators to turn the two integers * into hexadecimal characters. We don't use chr() here, because * it uses a lookup table internally and we want to avoid * cache-timing side-channels. / $hex .= pack( 'CC', (55 + $b + ((($b - 10) >> 8) & ~6)), (55 + $c + ((($c - 10) >> 8) & ~6)) ); } return $hex; } /* * Cache-timing-safe variant of ord() * * @internal You should not use this directly from another application * * @param string $chr * @return int * @throws SodiumException * @throws TypeError / public static function chrToInt($chr) { / Type checks: / if (!is_string($chr)) { throw new TypeError('Argument 1 must be a string, ' . gettype($chr) . ' given.'); } if (self::strlen($chr) !== 1) { throw new SodiumException('chrToInt() expects a string that is exactly 1 character long'); } /* @var array<int, int> $chunk / $chunk = unpack('C', $chr); return (int) ($chunk[1]); } /* * Compares two strings. * * @internal You should not use this directly from another application * * @param string $left * @param string $right * @param int $len * @return int * @throws SodiumException * @throws TypeError / public static function compare($left, $right, $len = null) { $leftLen = self::strlen($left); $rightLen = self::strlen($right); if ($len === null) { $len = max($leftLen, $rightLen); $left = str_pad($left, $len, "\x00", STR_PAD_RIGHT); $right = str_pad($right, $len, "\x00", STR_PAD_RIGHT); } $gt = 0; $eq = 1; $i = $len; while ($i !== 0) { --$i; $gt \|= ((self::chrToInt($right[$i]) - self::chrToInt($left[$i])) >> 8) & $eq; $eq &= ((self::chrToInt($right[$i]) ^ self::chrToInt($left[$i])) - 1) >> 8; } return ($gt + $gt + $eq) - 1; } /* * If a variable does not match a given type, throw a TypeError. * * @param mixed $mixedVar * @param string $type * @param int $argumentIndex * @throws TypeError * @throws SodiumException * @return void / public static function declareScalarType(&$mixedVar = null, $type = 'void', $argumentIndex = 0) { if (func_num_args() === 0) { / Tautology, by default / return; } if (func_num_args() === 1) { throw new TypeError('Declared void, but passed a variable'); } $realType = strtolower(gettype($mixedVar)); $type = strtolower($type); switch ($type) { case 'null': if ($mixedVar !== null) { throw new TypeError('Argument ' . $argumentIndex . ' must be null, ' . $realType . ' given.'); } break; case 'integer': case 'int': $allow = array('int', 'integer'); if (!in_array($type, $allow)) { throw new TypeError('Argument ' . $argumentIndex . ' must be an integer, ' . $realType . ' given.'); } $mixedVar = (int) $mixedVar; break; case 'boolean': case 'bool': $allow = array('bool', 'boolean'); if (!in_array($type, $allow)) { throw new TypeError('Argument ' . $argumentIndex . ' must be a boolean, ' . $realType . ' given.'); } $mixedVar = (bool) $mixedVar; break; case 'string': if (!is_string($mixedVar)) { throw new TypeError('Argument ' . $argumentIndex . ' must be a string, ' . $realType . ' given.'); } $mixedVar = (string) $mixedVar; break; case 'decimal': case 'double': case 'float': $allow = array('decimal', 'double', 'float'); if (!in_array($type, $allow)) { throw new TypeError('Argument ' . $argumentIndex . ' must be a float, ' . $realType . ' given.'); } $mixedVar = (float) $mixedVar; break; case 'object': if (!is_object($mixedVar)) { throw new TypeError('Argument ' . $argumentIndex . ' must be an object, ' . $realType . ' given.'); } break; case 'array': if (!is_array($mixedVar)) { if (is_object($mixedVar)) { if ($mixedVar instanceof ArrayAccess) { return; } } throw new TypeError('Argument ' . $argumentIndex . ' must be an array, ' . $realType . ' given.'); } break; default: throw new SodiumException('Unknown type (' . $realType .') does not match expect type (' . $type . ')'); } } /* * Evaluate whether or not two strings are equal (in constant-time) * * @param string $left * @param string $right * @return bool * @throws SodiumException * @throws TypeError / public static function hashEquals($left, $right) { / Type checks: / if (!is_string($left)) { throw new TypeError('Argument 1 must be a string, ' . gettype($left) . ' given.'); } if (!is_string($right)) { throw new TypeError('Argument 2 must be a string, ' . gettype($right) . ' given.'); } if (is_callable('hash_equals')) { return hash_equals($left, $right); } $d = 0; /* @var int $len / $len = self::strlen($left); if ($len !== self::strlen($right)) { return false; } for ($i = 0; $i < $len; ++$i) { $d \|= self::chrToInt($left[$i]) ^ self::chrToInt($right[$i]); } if ($d !== 0) { return false; } return $left === $right; } /* * Catch hash_update() failures and throw instead of silently proceeding * * @param HashContext\|resource &$hs * @param string $data * @return void * @throws SodiumException * @psalm-suppress PossiblyInvalidArgument / protected static function hash_update(&$hs, $data) { if (!hash_update($hs, $data)) { throw new SodiumException('hash_update() failed'); } } /* * Convert a hexadecimal string into a binary string without cache-timing * leaks * * @internal You should not use this directly from another application * * @param string $hexString * @param string $ignore * @param bool $strictPadding * @return string (raw binary) * @throws RangeException * @throws TypeError / public static function hex2bin($hexString, $ignore = '', $strictPadding = false) { / Type checks: / if (!is_string($hexString)) { throw new TypeError('Argument 1 must be a string, ' . gettype($hexString) . ' given.'); } if (!is_string($ignore)) { throw new TypeError('Argument 2 must be a string, ' . gettype($hexString) . ' given.'); } $hex_pos = 0; $bin = ''; $c_acc = 0; $hex_len = self::strlen($hexString); $state = 0; if (($hex_len & 1) !== 0) { if ($strictPadding) { throw new RangeException( 'Expected an even number of hexadecimal characters' ); } else { $hexString = '0' . $hexString; ++$hex_len; } } $chunk = unpack('C', $hexString); while ($hex_pos < $hex_len) { ++$hex_pos; /** @var int $c / $c = $chunk[$hex_pos]; $c_num = $c ^ 48; $c_num0 = ($c_num - 10) >> 8; $c_alpha = ($c & ~32) - 55; $c_alpha0 = (($c_alpha - 10) ^ ($c_alpha - 16)) >> 8; if (($c_num0 \| $c_alpha0) === 0) { if ($ignore && $state === 0 && strpos($ignore, self::intToChr($c)) !== false) { continue; } throw new RangeException( 'hex2bin() only expects hexadecimal characters' ); } $c_val = ($c_num0 & $c_num) \| ($c_alpha & $c_alpha0); if ($state === 0) { $c_acc = $c_val 16; } else { $bin .= pack('C', $c_acc \| $c_val); } $state ^= 1; } return $bin; } /** * Turn an array of integers into a string * * @internal You should not use this directly from another application * * @param array<int, int> $ints * @return string / public static function intArrayToString(array $ints) { $args = $ints; foreach ($args as $i => $v) { $args[$i] = (int) ($v & 0xff); } array_unshift($args, str_repeat('C', count($ints))); return (string) (call_user_func_array('pack', $args)); } /* * Cache-timing-safe variant of ord() * * @internal You should not use this directly from another application * * @param int $int * @return string * @throws TypeError / public static function intToChr($int) { return pack('C', $int); } /* * Load a 3 character substring into an integer * * @internal You should not use this directly from another application * * @param string $string * @return int * @throws RangeException * @throws TypeError / public static function load_3($string) { / Type checks: / if (!is_string($string)) { throw new TypeError('Argument 1 must be a string, ' . gettype($string) . ' given.'); } / Input validation: / if (self::strlen($string) < 3) { throw new RangeException( 'String must be 3 bytes or more; ' . self::strlen($string) . ' given.' ); } /* @var array<int, int> $unpacked / $unpacked = unpack('V', $string . "\0"); return (int) ($unpacked[1] & 0xffffff); } /* * Load a 4 character substring into an integer * * @internal You should not use this directly from another application * * @param string $string * @return int * @throws RangeException * @throws TypeError / public static function load_4($string) { / Type checks: / if (!is_string($string)) { throw new TypeError('Argument 1 must be a string, ' . gettype($string) . ' given.'); } / Input validation: / if (self::strlen($string) < 4) { throw new RangeException( 'String must be 4 bytes or more; ' . self::strlen($string) . ' given.' ); } /* @var array<int, int> $unpacked / $unpacked = unpack('V', $string); return (int) $unpacked[1]; } /* * Load a 8 character substring into an integer * * @internal You should not use this directly from another application * * @param string $string * @return int * @throws RangeException * @throws SodiumException * @throws TypeError / public static function load64_le($string) { / Type checks: / if (!is_string($string)) { throw new TypeError('Argument 1 must be a string, ' . gettype($string) . ' given.'); } / Input validation: / if (self::strlen($string) < 4) { throw new RangeException( 'String must be 4 bytes or more; ' . self::strlen($string) . ' given.' ); } if (PHP_VERSION_ID >= 50603 && PHP_INT_SIZE === 8) { /* @var array<int, int> $unpacked / $unpacked = unpack('P', $string); return (int) $unpacked[1]; } /* @var int $result / $result = (self::chrToInt($string[0]) & 0xff); $result \|= (self::chrToInt($string[1]) & 0xff) << 8; $result \|= (self::chrToInt($string[2]) & 0xff) << 16; $result \|= (self::chrToInt($string[3]) & 0xff) << 24; $result \|= (self::chrToInt($string[4]) & 0xff) << 32; $result \|= (self::chrToInt($string[5]) & 0xff) << 40; $result \|= (self::chrToInt($string[6]) & 0xff) << 48; $result \|= (self::chrToInt($string[7]) & 0xff) << 56; return (int) $result; } /* * @internal You should not use this directly from another application * * @param string $left * @param string $right * @return int * @throws SodiumException * @throws TypeError / public static function memcmp($left, $right) { if (self::hashEquals($left, $right)) { return 0; } return -1; } /* * Multiply two integers in constant-time * * Micro-architecture timing side-channels caused by how your CPU * implements multiplication are best prevented by never using the * multiplication operators and ensuring that our code always takes * the same number of operations to complete, regardless of the values * of $a and $b. * * @internal You should not use this directly from another application * * @param int $a * @param int $b * @param int $size Limits the number of operations (useful for small, * constant operands) * @return int / public static function mul($a, $b, $size = 0) { if (ParagonIE_Sodium_Compat::$fastMult) { return (int) ($a $b); } static $defaultSize = null; /** @var int $defaultSize / if (!$defaultSize) { /* @var int $defaultSize / $defaultSize = (PHP_INT_SIZE << 3) - 1; } if ($size < 1) { /* @var int $size / $size = $defaultSize; } /* @var int $size / $c = 0; /* * Mask is either -1 or 0. * * -1 in binary looks like 0x1111 ... 1111 * 0 in binary looks like 0x0000 ... 0000 * * @var int / $mask = -(($b >> ((int) $defaultSize)) & 1); /* * Ensure $b is a positive integer, without creating * a branching side-channel * * @var int $b / $b = ($b & ~$mask) \| ($mask & -$b); /* * Unless $size is provided: * * This loop always runs 32 times when PHP_INT_SIZE is 4. * This loop always runs 64 times when PHP_INT_SIZE is 8. / for ($i = $size; $i >= 0; --$i) { $c += (int) ($a & -($b & 1)); $a <<= 1; $b >>= 1; } $c = (int) @($c & -1); /* * If $b was negative, we then apply the same value to $c here. * It doesn't matter much if $a was negative; the $c += above would * have produced a negative integer to begin with. But a negative $b * makes $b >>= 1 never return 0, so we would end up with incorrect * results. * * The end result is what we'd expect from integer multiplication. / return (int) (($c & ~$mask) \| ($mask & -$c)); } /* * Convert any arbitrary numbers into two 32-bit integers that represent * a 64-bit integer. * * @internal You should not use this directly from another application * * @param int\|float $num * @return array<int, int> / public static function numericTo64BitInteger($num) { $high = 0; /* @var int $low / if (PHP_INT_SIZE === 4) { $low = (int) $num; } else { $low = $num & 0xffffffff; } if ((+(abs($num))) >= 1) { if ($num > 0) { /* @var int $high / $high = min((+(floor($num/4294967296))), 4294967295); } else { /* @var int $high / $high = ~~((+(ceil(($num - (+((~~($num)))))/4294967296)))); } } return array((int) $high, (int) $low); } /* * Store a 24-bit integer into a string, treating it as big-endian. * * @internal You should not use this directly from another application * * @param int $int * @return string * @throws TypeError / public static function store_3($int) { / Type checks: / if (!is_int($int)) { if (is_numeric($int)) { $int = (int) $int; } else { throw new TypeError('Argument 1 must be an integer, ' . gettype($int) . ' given.'); } } /* @var string $packed / $packed = pack('N', $int); return self::substr($packed, 1, 3); } /* * Store a 32-bit integer into a string, treating it as little-endian. * * @internal You should not use this directly from another application * * @param int $int * @return string * @throws TypeError / public static function store32_le($int) { / Type checks: / if (!is_int($int)) { if (is_numeric($int)) { $int = (int) $int; } else { throw new TypeError('Argument 1 must be an integer, ' . gettype($int) . ' given.'); } } /* @var string $packed / $packed = pack('V', $int); return $packed; } /* * Store a 32-bit integer into a string, treating it as big-endian. * * @internal You should not use this directly from another application * * @param int $int * @return string * @throws TypeError / public static function store_4($int) { / Type checks: / if (!is_int($int)) { if (is_numeric($int)) { $int = (int) $int; } else { throw new TypeError('Argument 1 must be an integer, ' . gettype($int) . ' given.'); } } /* @var string $packed / $packed = pack('N', $int); return $packed; } /* * Stores a 64-bit integer as an string, treating it as little-endian. * * @internal You should not use this directly from another application * * @param int $int * @return string * @throws TypeError / public static function store64_le($int) { / Type checks: / if (!is_int($int)) { if (is_numeric($int)) { $int = (int) $int; } else { throw new TypeError('Argument 1 must be an integer, ' . gettype($int) . ' given.'); } } if (PHP_INT_SIZE === 8) { if (PHP_VERSION_ID >= 50603) { /* @var string $packed / $packed = pack('P', $int); return $packed; } return self::intToChr($int & 0xff) . self::intToChr(($int >> 8) & 0xff) . self::intToChr(($int >> 16) & 0xff) . self::intToChr(($int >> 24) & 0xff) . self::intToChr(($int >> 32) & 0xff) . self::intToChr(($int >> 40) & 0xff) . self::intToChr(($int >> 48) & 0xff) . self::intToChr(($int >> 56) & 0xff); } if ($int > PHP_INT_MAX) { list($hiB, $int) = self::numericTo64BitInteger($int); } else { $hiB = 0; } return self::intToChr(($int ) & 0xff) . self::intToChr(($int >> 8) & 0xff) . self::intToChr(($int >> 16) & 0xff) . self::intToChr(($int >> 24) & 0xff) . self::intToChr($hiB & 0xff) . self::intToChr(($hiB >> 8) & 0xff) . self::intToChr(($hiB >> 16) & 0xff) . self::intToChr(($hiB >> 24) & 0xff); } /* * Safe string length * * @internal You should not use this directly from another application * * @ref mbstring.func_overload * * @param string $str * @return int * @throws TypeError / public static function strlen($str) { / Type checks: / if (!is_string($str)) { throw new TypeError('String expected'); } return (int) ( self::isMbStringOverride() ? mb_strlen($str, '8bit') : strlen($str) ); } /* * Turn a string into an array of integers * * @internal You should not use this directly from another application * * @param string $string * @return array<int, int> * @throws TypeError / public static function stringToIntArray($string) { if (!is_string($string)) { throw new TypeError('String expected'); } /* * @var array<int, int> / $values = array_values( unpack('C', $string) ); return $values; } /** * Safe substring * * @internal You should not use this directly from another application * * @ref mbstring.func_overload * * @param string $str * @param int $start * @param int $length * @return string * @throws TypeError / public static function substr($str, $start = 0, $length = null) { / Type checks: / if (!is_string($str)) { throw new TypeError('String expected'); } if ($length === 0) { return ''; } if (self::isMbStringOverride()) { if (PHP_VERSION_ID < 50400 && $length === null) { $length = self::strlen($str); } $sub = (string) mb_substr($str, $start, $length, '8bit'); } elseif ($length === null) { $sub = (string) substr($str, $start); } else { $sub = (string) substr($str, $start, $length); } if ($sub !== '') { return $sub; } return ''; } /* * Compare a 16-character byte string in constant time. * * @internal You should not use this directly from another application * * @param string $a * @param string $b * @return bool * @throws SodiumException * @throws TypeError / public static function verify_16($a, $b) { / Type checks: / if (!is_string($a)) { throw new TypeError('String expected'); } if (!is_string($b)) { throw new TypeError('String expected'); } return self::hashEquals( self::substr($a, 0, 16), self::substr($b, 0, 16) ); } /* * Compare a 32-character byte string in constant time. * * @internal You should not use this directly from another application * * @param string $a * @param string $b * @return bool * @throws SodiumException * @throws TypeError / public static function verify_32($a, $b) { / Type checks: / if (!is_string($a)) { throw new TypeError('String expected'); } if (!is_string($b)) { throw new TypeError('String expected'); } return self::hashEquals( self::substr($a, 0, 32), self::substr($b, 0, 32) ); } /* * Calculate $a ^ $b for two strings. * * @internal You should not use this directly from another application * * @param string $a * @param string $b * @return string * @throws TypeError / public static function xorStrings($a, $b) { / Type checks: / if (!is_string($a)) { throw new TypeError('Argument 1 must be a string'); } if (!is_string($b)) { throw new TypeError('Argument 2 must be a string'); } return (string) ($a ^ $b); } /* * Returns whether or not mbstring.func_overload is in effect. * * @internal You should not use this directly from another application * * Note: MB_OVERLOAD_STRING === 2, but we don't reference the constant * (for nuisance-free PHP 8 support) * * @return bool / protected static function isMbStringOverride() { static $mbstring = null; if ($mbstring === null) { if (!defined('MB_OVERLOAD_STRING')) { $mbstring = false; return $mbstring; } $mbstring = extension_loaded('mbstring') && defined('MB_OVERLOAD_STRING') && ((int) (ini_get('mbstring.func_overload')) & 2); // MB_OVERLOAD_STRING === 2 } /* @var bool $mbstring */ return $mbstring; } }	28.25 KB	2025-09-05 13:25
📄 X25519.php <?php if (class_exists('ParagonIE_Sodium_Core_X25519', false)) { return; } /** * Class ParagonIE_Sodium_Core_X25519 / abstract class ParagonIE_Sodium_Core_X25519 extends ParagonIE_Sodium_Core_Curve25519 { /* * Alters the objects passed to this method in place. * * @internal You should not use this directly from another application * * @param ParagonIE_Sodium_Core_Curve25519_Fe $f * @param ParagonIE_Sodium_Core_Curve25519_Fe $g * @param int $b * @return void * @psalm-suppress MixedAssignment / public static function fe_cswap( ParagonIE_Sodium_Core_Curve25519_Fe $f, ParagonIE_Sodium_Core_Curve25519_Fe $g, $b = 0 ) { $f0 = (int) $f[0]; $f1 = (int) $f[1]; $f2 = (int) $f[2]; $f3 = (int) $f[3]; $f4 = (int) $f[4]; $f5 = (int) $f[5]; $f6 = (int) $f[6]; $f7 = (int) $f[7]; $f8 = (int) $f[8]; $f9 = (int) $f[9]; $g0 = (int) $g[0]; $g1 = (int) $g[1]; $g2 = (int) $g[2]; $g3 = (int) $g[3]; $g4 = (int) $g[4]; $g5 = (int) $g[5]; $g6 = (int) $g[6]; $g7 = (int) $g[7]; $g8 = (int) $g[8]; $g9 = (int) $g[9]; $b = -$b; $x0 = ($f0 ^ $g0) & $b; $x1 = ($f1 ^ $g1) & $b; $x2 = ($f2 ^ $g2) & $b; $x3 = ($f3 ^ $g3) & $b; $x4 = ($f4 ^ $g4) & $b; $x5 = ($f5 ^ $g5) & $b; $x6 = ($f6 ^ $g6) & $b; $x7 = ($f7 ^ $g7) & $b; $x8 = ($f8 ^ $g8) & $b; $x9 = ($f9 ^ $g9) & $b; $f[0] = $f0 ^ $x0; $f[1] = $f1 ^ $x1; $f[2] = $f2 ^ $x2; $f[3] = $f3 ^ $x3; $f[4] = $f4 ^ $x4; $f[5] = $f5 ^ $x5; $f[6] = $f6 ^ $x6; $f[7] = $f7 ^ $x7; $f[8] = $f8 ^ $x8; $f[9] = $f9 ^ $x9; $g[0] = $g0 ^ $x0; $g[1] = $g1 ^ $x1; $g[2] = $g2 ^ $x2; $g[3] = $g3 ^ $x3; $g[4] = $g4 ^ $x4; $g[5] = $g5 ^ $x5; $g[6] = $g6 ^ $x6; $g[7] = $g7 ^ $x7; $g[8] = $g8 ^ $x8; $g[9] = $g9 ^ $x9; } /* * @internal You should not use this directly from another application * * @param ParagonIE_Sodium_Core_Curve25519_Fe $f * @return ParagonIE_Sodium_Core_Curve25519_Fe / public static function fe_mul121666(ParagonIE_Sodium_Core_Curve25519_Fe $f) { $h = array( self::mul((int) $f[0], 121666, 17), self::mul((int) $f[1], 121666, 17), self::mul((int) $f[2], 121666, 17), self::mul((int) $f[3], 121666, 17), self::mul((int) $f[4], 121666, 17), self::mul((int) $f[5], 121666, 17), self::mul((int) $f[6], 121666, 17), self::mul((int) $f[7], 121666, 17), self::mul((int) $f[8], 121666, 17), self::mul((int) $f[9], 121666, 17) ); /* @var int $carry9 / $carry9 = ($h[9] + (1 << 24)) >> 25; $h[0] += self::mul($carry9, 19, 5); $h[9] -= $carry9 << 25; /* @var int $carry1 / $carry1 = ($h[1] + (1 << 24)) >> 25; $h[2] += $carry1; $h[1] -= $carry1 << 25; /* @var int $carry3 / $carry3 = ($h[3] + (1 << 24)) >> 25; $h[4] += $carry3; $h[3] -= $carry3 << 25; /* @var int $carry5 / $carry5 = ($h[5] + (1 << 24)) >> 25; $h[6] += $carry5; $h[5] -= $carry5 << 25; /* @var int $carry7 / $carry7 = ($h[7] + (1 << 24)) >> 25; $h[8] += $carry7; $h[7] -= $carry7 << 25; /* @var int $carry0 / $carry0 = ($h[0] + (1 << 25)) >> 26; $h[1] += $carry0; $h[0] -= $carry0 << 26; /* @var int $carry2 / $carry2 = ($h[2] + (1 << 25)) >> 26; $h[3] += $carry2; $h[2] -= $carry2 << 26; /* @var int $carry4 / $carry4 = ($h[4] + (1 << 25)) >> 26; $h[5] += $carry4; $h[4] -= $carry4 << 26; /* @var int $carry6 / $carry6 = ($h[6] + (1 << 25)) >> 26; $h[7] += $carry6; $h[6] -= $carry6 << 26; /* @var int $carry8 / $carry8 = ($h[8] + (1 << 25)) >> 26; $h[9] += $carry8; $h[8] -= $carry8 << 26; foreach ($h as $i => $value) { $h[$i] = (int) $value; } return ParagonIE_Sodium_Core_Curve25519_Fe::fromArray($h); } /* * @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; $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, $z2); # fe_tobytes(q,x2); return self::fe_tobytes($x2); } /* * @internal You should not use this directly from another application * * @param ParagonIE_Sodium_Core_Curve25519_Fe $edwardsY * @param ParagonIE_Sodium_Core_Curve25519_Fe $edwardsZ * @return ParagonIE_Sodium_Core_Curve25519_Fe / public static function edwards_to_montgomery( ParagonIE_Sodium_Core_Curve25519_Fe $edwardsY, ParagonIE_Sodium_Core_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 ( !($A->Y instanceof ParagonIE_Sodium_Core_Curve25519_Fe) \|\| !($A->Z instanceof ParagonIE_Sodium_Core_Curve25519_Fe) ) { throw new TypeError('Null points encountered'); } $pk = self::edwards_to_montgomery($A->Y, $A->Z); return self::fe_tobytes($pk); } }	9.23 KB	2025-09-05 13:25
📄 XChaCha20.php <?php if (class_exists('ParagonIE_Sodium_Core_XChaCha20', false)) { return; } /** * Class ParagonIE_Sodium_Core_XChaCha20 / class ParagonIE_Sodium_Core_XChaCha20 extends ParagonIE_Sodium_Core_HChaCha20 { /* * @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 = '', $key = '') { if (self::strlen($nonce) !== 24) { throw new SodiumException('Nonce must be 24 bytes long'); } return self::encryptBytes( new ParagonIE_Sodium_Core_ChaCha20_Ctx( self::hChaCha20( self::substr($nonce, 0, 16), $key ), self::substr($nonce, 16, 8) ), 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 = 64, $nonce = '', $key = '') { if (self::strlen($nonce) !== 24) { throw new SodiumException('Nonce must be 24 bytes long'); } return self::encryptBytes( new ParagonIE_Sodium_Core_ChaCha20_IetfCtx( self::hChaCha20( self::substr($nonce, 0, 16), $key ), "\x00\x00\x00\x00" . self::substr($nonce, 16, 8) ), 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 $ic * @return string * @throws SodiumException * @throws TypeError / public static function streamXorIc($message, $nonce = '', $key = '', $ic = '') { if (self::strlen($nonce) !== 24) { throw new SodiumException('Nonce must be 24 bytes long'); } return self::encryptBytes( new ParagonIE_Sodium_Core_ChaCha20_Ctx( self::hChaCha20(self::substr($nonce, 0, 16), $key), self::substr($nonce, 16, 8), $ic ), $message ); } /* * @internal You should not use this directly from another application * * @param string $message * @param string $nonce * @param string $key * @param string $ic * @return string * @throws SodiumException * @throws TypeError */ public static function ietfStreamXorIc($message, $nonce = '', $key = '', $ic = '') { if (self::strlen($nonce) !== 24) { throw new SodiumException('Nonce must be 24 bytes long'); } return self::encryptBytes( new ParagonIE_Sodium_Core_ChaCha20_IetfCtx( self::hChaCha20(self::substr($nonce, 0, 16), $key), "\x00\x00\x00\x00" . self::substr($nonce, 16, 8), $ic ), $message ); } }	3.29 KB	2025-09-05 13:25
📄 XSalsa20.php <?php if (class_exists('ParagonIE_Sodium_Core_XSalsa20', false)) { return; } /** * Class ParagonIE_Sodium_Core_XSalsa20 / abstract class ParagonIE_Sodium_Core_XSalsa20 extends ParagonIE_Sodium_Core_HSalsa20 { /* * Expand a key and nonce into an xsalsa20 keystream. * * @internal You should not use this directly from another application * * @param int $len * @param string $nonce * @param string $key * @return string * @throws SodiumException * @throws TypeError / public static function xsalsa20($len, $nonce, $key) { $ret = self::salsa20( $len, self::substr($nonce, 16, 8), self::hsalsa20($nonce, $key) ); return $ret; } /* * Encrypt a string with XSalsa20. Doesn't provide integrity. * * @internal You should not use this directly from another application * * @param string $message * @param string $nonce * @param string $key * @return string * @throws SodiumException * @throws TypeError */ public static function xsalsa20_xor($message, $nonce, $key) { return self::xorStrings( $message, self::xsalsa20( self::strlen($message), $nonce, $key ) ); } }	1.34 KB	2025-09-05 13:25

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