9
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<?php |
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|
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if (class_exists('ParagonIE_Sodium_Core_Ed25519', false)) { |
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return; |
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} |
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|
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/** |
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* Class ParagonIE_Sodium_Core_Ed25519 |
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*/ |
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abstract class ParagonIE_Sodium_Core_Ed25519 extends ParagonIE_Sodium_Core_Curve25519 |
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{ |
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const KEYPAIR_BYTES = 96; |
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const SEED_BYTES = 32; |
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|
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/** |
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* @internal You should not use this directly from another application |
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* |
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* @return string (96 bytes) |
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* @throws Exception |
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* @throws SodiumException |
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* @throws TypeError |
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*/ |
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public static function keypair() |
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{ |
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$seed = random_bytes(self::SEED_BYTES); |
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$pk = ''; |
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$sk = ''; |
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self::seed_keypair($pk, $sk, $seed); |
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return $sk . $pk; |
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} |
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|
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/** |
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* @internal You should not use this directly from another application |
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* |
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* @param string $pk |
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* @param string $sk |
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* @param string $seed |
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* @return string |
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* @throws SodiumException |
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* @throws TypeError |
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*/ |
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public static function seed_keypair(&$pk, &$sk, $seed) |
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{ |
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if (self::strlen($seed) !== self::SEED_BYTES) { |
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throw new RangeException('crypto_sign keypair seed must be 32 bytes long'); |
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} |
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|
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/** @var string $pk */ |
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$pk = self::publickey_from_secretkey($seed); |
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$sk = $seed . $pk; |
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return $sk; |
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} |
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|
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/** |
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* @internal You should not use this directly from another application |
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* |
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* @param string $keypair |
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* @return string |
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* @throws TypeError |
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*/ |
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public static function secretkey($keypair) |
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{ |
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if (self::strlen($keypair) !== self::KEYPAIR_BYTES) { |
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throw new RangeException('crypto_sign keypair must be 96 bytes long'); |
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} |
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return self::substr($keypair, 0, 64); |
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} |
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|
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/** |
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* @internal You should not use this directly from another application |
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* |
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* @param string $keypair |
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* @return string |
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* @throws TypeError |
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*/ |
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public static function publickey($keypair) |
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{ |
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if (self::strlen($keypair) !== self::KEYPAIR_BYTES) { |
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throw new RangeException('crypto_sign keypair must be 96 bytes long'); |
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} |
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return self::substr($keypair, 64, 32); |
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} |
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|
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/** |
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* @internal You should not use this directly from another application |
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* |
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* @param string $sk |
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* @return string |
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* @throws SodiumException |
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* @throws TypeError |
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*/ |
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public static function publickey_from_secretkey($sk) |
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{ |
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/** @var string $sk */ |
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$sk = hash('sha512', self::substr($sk, 0, 32), true); |
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$sk[0] = self::intToChr( |
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self::chrToInt($sk[0]) & 248 |
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); |
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$sk[31] = self::intToChr( |
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(self::chrToInt($sk[31]) & 63) | 64 |
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); |
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return self::sk_to_pk($sk); |
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} |
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|
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/** |
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* @param string $pk |
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* @return string |
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* @throws SodiumException |
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* @throws TypeError |
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*/ |
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public static function pk_to_curve25519($pk) |
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{ |
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if (self::small_order($pk)) { |
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throw new SodiumException('Public key is on a small order'); |
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} |
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$A = self::ge_frombytes_negate_vartime(self::substr($pk, 0, 32)); |
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$p1 = self::ge_mul_l($A); |
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if (!self::fe_isnonzero($p1->X)) { |
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throw new SodiumException('Unexpected zero result'); |
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} |
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|
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# fe_1(one_minus_y); |
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# fe_sub(one_minus_y, one_minus_y, A.Y); |
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# fe_invert(one_minus_y, one_minus_y); |
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$one_minux_y = self::fe_invert( |
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self::fe_sub( |
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self::fe_1(), |
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$A->Y |
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) |
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); |
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|
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# fe_1(x); |
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# fe_add(x, x, A.Y); |
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# fe_mul(x, x, one_minus_y); |
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$x = self::fe_mul( |
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self::fe_add(self::fe_1(), $A->Y), |
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$one_minux_y |
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); |
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139 |
|
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# fe_tobytes(curve25519_pk, x); |
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return self::fe_tobytes($x); |
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} |
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|
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/** |
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* @internal You should not use this directly from another application |
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* |
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* @param string $sk |
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* @return string |
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* @throws SodiumException |
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* @throws TypeError |
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*/ |
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public static function sk_to_pk($sk) |
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{ |
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return self::ge_p3_tobytes( |
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self::ge_scalarmult_base( |
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self::substr($sk, 0, 32) |
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) |
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); |
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} |
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|
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/** |
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* @internal You should not use this directly from another application |
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* |
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* @param string $message |
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* @param string $sk |
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* @return string |
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* @throws SodiumException |
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* @throws TypeError |
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*/ |
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public static function sign($message, $sk) |
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{ |
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/** @var string $signature */ |
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$signature = self::sign_detached($message, $sk); |
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return $signature . $message; |
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} |
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|
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/** |
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* @internal You should not use this directly from another application |
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* |
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* @param string $message A signed message |
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* @param string $pk Public key |
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* @return string Message (without signature) |
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* @throws SodiumException |
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* @throws TypeError |
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*/ |
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public static function sign_open($message, $pk) |
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{ |
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/** @var string $signature */ |
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$signature = self::substr($message, 0, 64); |
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|
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/** @var string $message */ |
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$message = self::substr($message, 64); |
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193 |
|
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if (self::verify_detached($signature, $message, $pk)) { |
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return $message; |
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} |
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197 |
throw new SodiumException('Invalid signature'); |
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198 |
} |
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199 |
|
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200 |
/** |
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201 |
* @internal You should not use this directly from another application |
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202 |
* |
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* @param string $message |
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* @param string $sk |
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* @return string |
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* @throws SodiumException |
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207 |
* @throws TypeError |
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*/ |
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209 |
public static function sign_detached($message, $sk) |
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{ |
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211 |
# crypto_hash_sha512(az, sk, 32); |
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$az = hash('sha512', self::substr($sk, 0, 32), true); |
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213 |
|
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# az[0] &= 248; |
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# az[31] &= 63; |
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# az[31] |= 64; |
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$az[0] = self::intToChr(self::chrToInt($az[0]) & 248); |
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$az[31] = self::intToChr((self::chrToInt($az[31]) & 63) | 64); |
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|
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# crypto_hash_sha512_init(&hs); |
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# crypto_hash_sha512_update(&hs, az + 32, 32); |
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# crypto_hash_sha512_update(&hs, m, mlen); |
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# crypto_hash_sha512_final(&hs, nonce); |
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$hs = hash_init('sha512'); |
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hash_update($hs, self::substr($az, 32, 32)); |
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hash_update($hs, $message); |
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$nonceHash = hash_final($hs, true); |
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|
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# memmove(sig + 32, sk + 32, 32); |
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$pk = self::substr($sk, 32, 32); |
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|
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# sc_reduce(nonce); |
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# ge_scalarmult_base(&R, nonce); |
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# ge_p3_tobytes(sig, &R); |
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$nonce = self::sc_reduce($nonceHash) . self::substr($nonceHash, 32); |
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$sig = self::ge_p3_tobytes( |
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self::ge_scalarmult_base($nonce) |
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); |
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239 |
|
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240 |
# crypto_hash_sha512_init(&hs); |
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# crypto_hash_sha512_update(&hs, sig, 64); |
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242 |
# crypto_hash_sha512_update(&hs, m, mlen); |
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# crypto_hash_sha512_final(&hs, hram); |
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$hs = hash_init('sha512'); |
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hash_update($hs, self::substr($sig, 0, 32)); |
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hash_update($hs, self::substr($pk, 0, 32)); |
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hash_update($hs, $message); |
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$hramHash = hash_final($hs, true); |
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249 |
|
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# sc_reduce(hram); |
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# sc_muladd(sig + 32, hram, az, nonce); |
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252 |
$hram = self::sc_reduce($hramHash); |
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253 |
$sigAfter = self::sc_muladd($hram, $az, $nonce); |
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254 |
$sig = self::substr($sig, 0, 32) . self::substr($sigAfter, 0, 32); |
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255 |
|
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256 |
try { |
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257 |
ParagonIE_Sodium_Compat::memzero($az); |
|
258 |
} catch (SodiumException $ex) { |
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259 |
$az = null; |
|
260 |
} |
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261 |
return $sig; |
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262 |
} |
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263 |
|
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264 |
/** |
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265 |
* @internal You should not use this directly from another application |
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266 |
* |
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267 |
* @param string $sig |
|
268 |
* @param string $message |
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269 |
* @param string $pk |
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270 |
* @return bool |
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271 |
* @throws SodiumException |
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272 |
* @throws TypeError |
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273 |
*/ |
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274 |
public static function verify_detached($sig, $message, $pk) |
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275 |
{ |
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276 |
if (self::strlen($sig) < 64) { |
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277 |
throw new SodiumException('Signature is too short'); |
|
278 |
} |
16
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279 |
if ((self::chrToInt($sig[63]) & 240) && self::check_S_lt_L(self::substr($sig, 32, 32))) { |
9
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280 |
throw new SodiumException('S < L - Invalid signature'); |
|
281 |
} |
|
282 |
if (self::small_order($sig)) { |
|
283 |
throw new SodiumException('Signature is on too small of an order'); |
|
284 |
} |
|
285 |
if ((self::chrToInt($sig[63]) & 224) !== 0) { |
|
286 |
throw new SodiumException('Invalid signature'); |
|
287 |
} |
|
288 |
$d = 0; |
|
289 |
for ($i = 0; $i < 32; ++$i) { |
|
290 |
$d |= self::chrToInt($pk[$i]); |
|
291 |
} |
|
292 |
if ($d === 0) { |
|
293 |
throw new SodiumException('All zero public key'); |
|
294 |
} |
|
295 |
|
|
296 |
/** @var bool The original value of ParagonIE_Sodium_Compat::$fastMult */ |
|
297 |
$orig = ParagonIE_Sodium_Compat::$fastMult; |
|
298 |
|
|
299 |
// Set ParagonIE_Sodium_Compat::$fastMult to true to speed up verification. |
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300 |
ParagonIE_Sodium_Compat::$fastMult = true; |
|
301 |
|
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302 |
/** @var ParagonIE_Sodium_Core_Curve25519_Ge_P3 $A */ |
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303 |
$A = self::ge_frombytes_negate_vartime($pk); |
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304 |
|
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305 |
/** @var string $hDigest */ |
|
306 |
$hDigest = hash( |
|
307 |
'sha512', |
|
308 |
self::substr($sig, 0, 32) . |
|
309 |
self::substr($pk, 0, 32) . |
|
310 |
$message, |
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311 |
true |
|
312 |
); |
|
313 |
|
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314 |
/** @var string $h */ |
|
315 |
$h = self::sc_reduce($hDigest) . self::substr($hDigest, 32); |
|
316 |
|
|
317 |
/** @var ParagonIE_Sodium_Core_Curve25519_Ge_P2 $R */ |
|
318 |
$R = self::ge_double_scalarmult_vartime( |
|
319 |
$h, |
|
320 |
$A, |
|
321 |
self::substr($sig, 32) |
|
322 |
); |
|
323 |
|
|
324 |
/** @var string $rcheck */ |
|
325 |
$rcheck = self::ge_tobytes($R); |
|
326 |
|
|
327 |
// Reset ParagonIE_Sodium_Compat::$fastMult to what it was before. |
|
328 |
ParagonIE_Sodium_Compat::$fastMult = $orig; |
|
329 |
|
|
330 |
return self::verify_32($rcheck, self::substr($sig, 0, 32)); |
|
331 |
} |
|
332 |
|
|
333 |
/** |
|
334 |
* @internal You should not use this directly from another application |
|
335 |
* |
|
336 |
* @param string $S |
|
337 |
* @return bool |
|
338 |
* @throws SodiumException |
|
339 |
* @throws TypeError |
|
340 |
*/ |
|
341 |
public static function check_S_lt_L($S) |
|
342 |
{ |
|
343 |
if (self::strlen($S) < 32) { |
|
344 |
throw new SodiumException('Signature must be 32 bytes'); |
|
345 |
} |
|
346 |
$L = array( |
|
347 |
0xed, 0xd3, 0xf5, 0x5c, 0x1a, 0x63, 0x12, 0x58, |
|
348 |
0xd6, 0x9c, 0xf7, 0xa2, 0xde, 0xf9, 0xde, 0x14, |
|
349 |
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, |
|
350 |
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x10 |
|
351 |
); |
|
352 |
$c = 0; |
|
353 |
$n = 1; |
|
354 |
$i = 32; |
|
355 |
|
|
356 |
/** @var array<int, int> $L */ |
|
357 |
do { |
|
358 |
--$i; |
|
359 |
$x = self::chrToInt($S[$i]); |
|
360 |
$c |= ( |
|
361 |
(($x - $L[$i]) >> 8) & $n |
|
362 |
); |
|
363 |
$n &= ( |
|
364 |
(($x ^ $L[$i]) - 1) >> 8 |
|
365 |
); |
|
366 |
} while ($i !== 0); |
|
367 |
|
|
368 |
return $c === 0; |
|
369 |
} |
|
370 |
|
|
371 |
/** |
|
372 |
* @param string $R |
|
373 |
* @return bool |
|
374 |
* @throws SodiumException |
|
375 |
* @throws TypeError |
|
376 |
*/ |
|
377 |
public static function small_order($R) |
|
378 |
{ |
16
|
379 |
/** @var array<int, array<int, int>> $blocklist */ |
|
380 |
$blocklist = array( |
9
|
381 |
/* 0 (order 4) */ |
|
382 |
array( |
|
383 |
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, |
|
384 |
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, |
|
385 |
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, |
|
386 |
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 |
|
387 |
), |
|
388 |
/* 1 (order 1) */ |
|
389 |
array( |
|
390 |
0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, |
|
391 |
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, |
|
392 |
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, |
|
393 |
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 |
|
394 |
), |
|
395 |
/* 2707385501144840649318225287225658788936804267575313519463743609750303402022 (order 8) */ |
|
396 |
array( |
|
397 |
0x26, 0xe8, 0x95, 0x8f, 0xc2, 0xb2, 0x27, 0xb0, |
|
398 |
0x45, 0xc3, 0xf4, 0x89, 0xf2, 0xef, 0x98, 0xf0, |
|
399 |
0xd5, 0xdf, 0xac, 0x05, 0xd3, 0xc6, 0x33, 0x39, |
|
400 |
0xb1, 0x38, 0x02, 0x88, 0x6d, 0x53, 0xfc, 0x05 |
|
401 |
), |
|
402 |
/* 55188659117513257062467267217118295137698188065244968500265048394206261417927 (order 8) */ |
|
403 |
array( |
|
404 |
0xc7, 0x17, 0x6a, 0x70, 0x3d, 0x4d, 0xd8, 0x4f, |
|
405 |
0xba, 0x3c, 0x0b, 0x76, 0x0d, 0x10, 0x67, 0x0f, |
|
406 |
0x2a, 0x20, 0x53, 0xfa, 0x2c, 0x39, 0xcc, 0xc6, |
|
407 |
0x4e, 0xc7, 0xfd, 0x77, 0x92, 0xac, 0x03, 0x7a |
|
408 |
), |
|
409 |
/* p-1 (order 2) */ |
|
410 |
array( |
|
411 |
0x13, 0xe8, 0x95, 0x8f, 0xc2, 0xb2, 0x27, 0xb0, |
|
412 |
0x45, 0xc3, 0xf4, 0x89, 0xf2, 0xef, 0x98, 0xf0, |
|
413 |
0xd5, 0xdf, 0xac, 0x05, 0xd3, 0xc6, 0x33, 0x39, |
|
414 |
0xb1, 0x38, 0x02, 0x88, 0x6d, 0x53, 0xfc, 0x85 |
|
415 |
), |
|
416 |
/* p (order 4) */ |
|
417 |
array( |
|
418 |
0xb4, 0x17, 0x6a, 0x70, 0x3d, 0x4d, 0xd8, 0x4f, |
|
419 |
0xba, 0x3c, 0x0b, 0x76, 0x0d, 0x10, 0x67, 0x0f, |
|
420 |
0x2a, 0x20, 0x53, 0xfa, 0x2c, 0x39, 0xcc, 0xc6, |
|
421 |
0x4e, 0xc7, 0xfd, 0x77, 0x92, 0xac, 0x03, 0xfa |
|
422 |
), |
|
423 |
/* p+1 (order 1) */ |
|
424 |
array( |
|
425 |
0xec, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, |
|
426 |
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, |
|
427 |
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, |
|
428 |
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x7f |
|
429 |
), |
|
430 |
/* p+2707385501144840649318225287225658788936804267575313519463743609750303402022 (order 8) */ |
|
431 |
array( |
|
432 |
0xed, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, |
|
433 |
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, |
|
434 |
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, |
|
435 |
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x7f |
|
436 |
), |
|
437 |
/* p+55188659117513257062467267217118295137698188065244968500265048394206261417927 (order 8) */ |
|
438 |
array( |
|
439 |
0xee, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, |
|
440 |
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, |
|
441 |
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, |
|
442 |
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x7f |
|
443 |
), |
|
444 |
/* 2p-1 (order 2) */ |
|
445 |
array( |
|
446 |
0xd9, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, |
|
447 |
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, |
|
448 |
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, |
|
449 |
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff |
|
450 |
), |
|
451 |
/* 2p (order 4) */ |
|
452 |
array( |
|
453 |
0xda, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, |
|
454 |
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, |
|
455 |
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, |
|
456 |
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff |
|
457 |
), |
|
458 |
/* 2p+1 (order 1) */ |
|
459 |
array( |
|
460 |
0xdb, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, |
|
461 |
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, |
|
462 |
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, |
|
463 |
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff |
|
464 |
) |
|
465 |
); |
16
|
466 |
/** @var int $countBlocklist */ |
|
467 |
$countBlocklist = count($blocklist); |
9
|
468 |
|
16
|
469 |
for ($i = 0; $i < $countBlocklist; ++$i) { |
9
|
470 |
$c = 0; |
|
471 |
for ($j = 0; $j < 32; ++$j) { |
16
|
472 |
$c |= self::chrToInt($R[$j]) ^ (int) $blocklist[$i][$j]; |
9
|
473 |
} |
|
474 |
if ($c === 0) { |
|
475 |
return true; |
|
476 |
} |
|
477 |
} |
|
478 |
return false; |
|
479 |
} |
|
480 |
} |