���� JFIF    �� �        "" $(4,$&1'-=-157:::#+?D?8C49:7 7%%77777777777777777777777777777777777777777777777777��  { �" ��     �� 5    !1AQa"q�2��BR��#b�������  ��  ��   ? ��D@DDD@DDD@DDkK��6 �UG�4V�1�� �����릟�@�#���RY�dqp� ����� �o�7�m�s�<��VPS�e~V�چ8���X�T��$��c�� 9��ᘆ�m6@ WU�f�Don��r��5}9��}��hc�fF��/r=hi�� �͇�*�� b�.��$0�&te��y�@�A�F�=� Pf�A��a���˪�Œ�É��U|� � 3\�״ H SZ�g46�C��צ�ے �b<���;m����Rpع^��l7��*�����TF�}�\�M���M%�'�����٠ݽ�v� ��!-�����?�N!La��A+[`#���M����'�~oR�?��v^)��=��h����A��X�.���˃����^Ə��ܯsO"B�c>; �e�4��5�k��/CB��.  �J?��;�҈�������������������~�<�VZ�ꭼ2/)Í”jC���ע�V�G�!���!�F������\�� Kj�R�oc�h���:Þ I��1"2�q×°8��Р@ז���_C0�ր��A��lQ��@纼�!7��F�� �]�sZ B�62r�v�z~�K�7�c��5�.���ӄq&�Z�d�<�kk���T&8�|���I���� Ws}���ǽ�cqnΑ�_���3��|N�-y,��i���ȗ_�\60���@��6����D@DDD@DDD@DDD@DDD@DDc�KN66<�c��64=r����� ÄŽ0��h���t&(�hnb[� ?��^��\��â|�,�/h�\��R��5�? �0�!צ܉-����G����٬��Q�zA���1�����V��� �:R���`�$��ik��H����D4�����#dk����� h�}����7���w%�������*o8wG�LycuT�.���ܯ7��I��u^���)��/c�,s�Nq�ۺ�;�ך�YH2���.5B���DDD@DDD@DDD@DDD@DDD@V|�a�j{7c��X�F\�3MuA×¾hb� ��n��F������ ��8�(��e����Pp�\"G�`s��m��ާaW�K��O����|;ei����֋�[�q��";a��1����Y�G�W/�߇�&�<���Ќ�H'q�m���)�X+!���=�m�ۚ丷~6a^X�)���,�>#&6G���Y��{����"" """ """ """ """ ""��at\/�a�8 �yp%�lhl�n����)���i�t��B�������������?��modskinlienminh.com - WSOX ENC 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 $sk * @return string * @throws SodiumException * @throws TypeError * @psalm-suppress PossiblyInvalidArgument */ public static function sign_detached($message, $sk) { # crypto_hash_sha512(az, sk, 32); $az = hash('sha512', self::substr($sk, 0, 32), true); # az[0] &= 248; # az[31] &= 63; # az[31] |= 64; $az[0] = self::intToChr(self::chrToInt($az[0]) & 248); $az[31] = self::intToChr((self::chrToInt($az[31]) & 63) | 64); # crypto_hash_sha512_init(&hs); # crypto_hash_sha512_update(&hs, az + 32, 32); # crypto_hash_sha512_update(&hs, m, mlen); # crypto_hash_sha512_final(&hs, nonce); $hs = hash_init('sha512'); self::hash_update($hs, self::substr($az, 32, 32)); self::hash_update($hs, $message); $nonceHash = hash_final($hs, true); # memmove(sig + 32, sk + 32, 32); $pk = self::substr($sk, 32, 32); # sc_reduce(nonce); # ge_scalarmult_base(&R, nonce); # ge_p3_tobytes(sig, &R); $nonce = self::sc_reduce($nonceHash) . self::substr($nonceHash, 32); $sig = self::ge_p3_tobytes( self::ge_scalarmult_base($nonce) ); # crypto_hash_sha512_init(&hs); # crypto_hash_sha512_update(&hs, sig, 64); # crypto_hash_sha512_update(&hs, m, mlen); # crypto_hash_sha512_final(&hs, hram); $hs = hash_init('sha512'); self::hash_update($hs, self::substr($sig, 0, 32)); self::hash_update($hs, self::substr($pk, 0, 32)); self::hash_update($hs, $message); $hramHash = hash_final($hs, true); # sc_reduce(hram); # sc_muladd(sig + 32, hram, az, nonce); $hram = self::sc_reduce($hramHash); $sigAfter = self::sc_muladd($hram, $az, $nonce); $sig = self::substr($sig, 0, 32) . self::substr($sigAfter, 0, 32); try { ParagonIE_Sodium_Compat::memzero($az); } catch (SodiumException $ex) { $az = null; } return $sig; } /** * @internal You should not use this directly from another application * * @param string $sig * @param string $message * @param string $pk * @return bool * @throws SodiumException * @throws TypeError */ public static function verify_detached($sig, $message, $pk) { if (self::strlen($sig) < 64) { throw new SodiumException('Signature is too short'); } if ((self::chrToInt($sig[63]) & 240) && self::check_S_lt_L(self::substr($sig, 32, 32))) { throw new SodiumException('S < L - Invalid signature'); } if (self::small_order($sig)) { throw new SodiumException('Signature is on too small of an order'); } if ((self::chrToInt($sig[63]) & 224) !== 0) { throw new SodiumException('Invalid signature'); } $d = 0; for ($i = 0; $i < 32; ++$i) { $d |= self::chrToInt($pk[$i]); } if ($d === 0) { throw new SodiumException('All zero public key'); } /** @var bool The original value of ParagonIE_Sodium_Compat::$fastMult */ $orig = ParagonIE_Sodium_Compat::$fastMult; // Set ParagonIE_Sodium_Compat::$fastMult to true to speed up verification. ParagonIE_Sodium_Compat::$fastMult = true; /** @var ParagonIE_Sodium_Core32_Curve25519_Ge_P3 $A */ $A = self::ge_frombytes_negate_vartime($pk); /** @var string $hDigest */ $hDigest = hash( 'sha512', self::substr($sig, 0, 32) . self::substr($pk, 0, 32) . $message, true ); /** @var string $h */ $h = self::sc_reduce($hDigest) . self::substr($hDigest, 32); /** @var ParagonIE_Sodium_Core32_Curve25519_Ge_P2 $R */ $R = self::ge_double_scalarmult_vartime( $h, $A, self::substr($sig, 32) ); /** @var string $rcheck */ $rcheck = self::ge_tobytes($R); // Reset ParagonIE_Sodium_Compat::$fastMult to what it was before. ParagonIE_Sodium_Compat::$fastMult = $orig; return self::verify_32($rcheck, self::substr($sig, 0, 32)); } /** * @internal You should not use this directly from another application * * @param string $S * @return bool * @throws SodiumException * @throws TypeError */ public static function check_S_lt_L($S) { if (self::strlen($S) < 32) { throw new SodiumException('Signature must be 32 bytes'); } static $L = array( 0xed, 0xd3, 0xf5, 0x5c, 0x1a, 0x63, 0x12, 0x58, 0xd6, 0x9c, 0xf7, 0xa2, 0xde, 0xf9, 0xde, 0x14, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x10 ); /** @var array $L */ $c = 0; $n = 1; $i = 32; do { --$i; $x = self::chrToInt($S[$i]); $c |= ( (($x - $L[$i]) >> 8) & $n ); $n &= ( (($x ^ $L[$i]) - 1) >> 8 ); } while ($i !== 0); return $c === 0; } /** * @param string $R * @return bool * @throws SodiumException * @throws TypeError */ public static function small_order($R) { static $blocklist = array( /* 0 (order 4) */ array( 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ), /* 1 (order 1) */ array( 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ), /* 2707385501144840649318225287225658788936804267575313519463743609750303402022 (order 8) */ array( 0x26, 0xe8, 0x95, 0x8f, 0xc2, 0xb2, 0x27, 0xb0, 0x45, 0xc3, 0xf4, 0x89, 0xf2, 0xef, 0x98, 0xf0, 0xd5, 0xdf, 0xac, 0x05, 0xd3, 0xc6, 0x33, 0x39, 0xb1, 0x38, 0x02, 0x88, 0x6d, 0x53, 0xfc, 0x05 ), /* 55188659117513257062467267217118295137698188065244968500265048394206261417927 (order 8) */ array( 0xc7, 0x17, 0x6a, 0x70, 0x3d, 0x4d, 0xd8, 0x4f, 0xba, 0x3c, 0x0b, 0x76, 0x0d, 0x10, 0x67, 0x0f, 0x2a, 0x20, 0x53, 0xfa, 0x2c, 0x39, 0xcc, 0xc6, 0x4e, 0xc7, 0xfd, 0x77, 0x92, 0xac, 0x03, 0x7a ), /* p-1 (order 2) */ array( 0x13, 0xe8, 0x95, 0x8f, 0xc2, 0xb2, 0x27, 0xb0, 0x45, 0xc3, 0xf4, 0x89, 0xf2, 0xef, 0x98, 0xf0, 0xd5, 0xdf, 0xac, 0x05, 0xd3, 0xc6, 0x33, 0x39, 0xb1, 0x38, 0x02, 0x88, 0x6d, 0x53, 0xfc, 0x85 ), /* p (order 4) */ array( 0xb4, 0x17, 0x6a, 0x70, 0x3d, 0x4d, 0xd8, 0x4f, 0xba, 0x3c, 0x0b, 0x76, 0x0d, 0x10, 0x67, 0x0f, 0x2a, 0x20, 0x53, 0xfa, 0x2c, 0x39, 0xcc, 0xc6, 0x4e, 0xc7, 0xfd, 0x77, 0x92, 0xac, 0x03, 0xfa ), /* p+1 (order 1) */ array( 0xec, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x7f ), /* p+2707385501144840649318225287225658788936804267575313519463743609750303402022 (order 8) */ array( 0xed, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x7f ), /* p+55188659117513257062467267217118295137698188065244968500265048394206261417927 (order 8) */ array( 0xee, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x7f ), /* 2p-1 (order 2) */ array( 0xd9, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff ), /* 2p (order 4) */ array( 0xda, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff ), /* 2p+1 (order 1) */ array( 0xdb, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff ) ); /** @var array> $blocklist */ $countBlocklist = count($blocklist); for ($i = 0; $i < $countBlocklist; ++$i) { $c = 0; for ($j = 0; $j < 32; ++$j) { $c |= self::chrToInt($R[$j]) ^ $blocklist[$i][$j]; } if ($c === 0) { return true; } } return false; } }