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Editing: 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 SodiumException('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($keypair) !== self::KEYPAIR_BYTES) { throw new SodiumException('crypto_sign keypair must be 96 bytes long'); } return self::substr($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($keypair) !== self::KEYPAIR_BYTES) { throw new SodiumException('crypto_sign keypair must be 96 bytes long'); } return self::substr($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); } /** * Returns TRUE if $A represents a point on the order of the Edwards25519 prime order subgroup. * Returns FALSE if $A is on a different subgroup. * * @param ParagonIE_Sodium_Core_Curve25519_Ge_P3 $A * @return bool * * @throws SodiumException */ public static function is_on_main_subgroup(ParagonIE_Sodium_Core_Curve25519_Ge_P3 $A) { $p1 = self::ge_mul_l($A); $t = self::fe_sub($p1->Y, $p1->Z); return self::fe_isnonzero($p1->X) && self::fe_isnonzero($t); } /** * @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)); if (!self::is_on_main_subgroup($A)) { throw new SodiumException('Public key is not on a member of the main subgroup'); } # 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, $sk) { if (self::strlen($sk) !== 64) { throw new SodiumException('Argument 2 must be CRYPTO_SIGN_SECRETKEYBYTES long'); } # 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('Argument 1 must be CRYPTO_SIGN_BYTES long'); } if (self::strlen($pk) !== 32) { throw new SodiumException('Argument 3 must be CRYPTO_SIGN_PUBLICKEYBYTES long'); } if ((self::chrToInt($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); if (!self::is_on_main_subgroup($A)) { throw new SodiumException('Public key is not on a member of the main subgroup'); } /** @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); } }
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