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/home/tahkoom/public_html/wp-includes/sodium_compat/src/Core32/Ed25519.php
<?php

if (class_exists('ParagonIE_Sodium_Core32_Ed25519', false)) {
    return;
}
if (!class_exists('ParagonIE_Sodium_Core32_Curve25519')) {
    require_once dirname(__FILE__) . '/Curve25519.php';
}

/**
 * Class ParagonIE_Sodium_Core32_Ed25519
 */
abstract class ParagonIE_Sodium_Core32_Ed25519 extends ParagonIE_Sodium_Core32_Curve25519
{
    const KEYPAIR_BYTES = 96;
    const SEED_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 $keypair
     * @return string
     * @throws RangeException
     * @throws TypeError
     */
    public static function publickey($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');
        }
        $A = self::ge_frombytes_negate_vartime($pk);
        $p1 = self::ge_mul_l($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 $sk
     * @return string
     * @throws SodiumException
     * @throws TypeError
     * @psalm-suppress PossiblyInvalidArgument
     */
    public static function sign_detached($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<int, int> $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<int, array<int, int>> $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;
    }
}
“ألعاب الواقع الافتراضي: رحلة إلى عوالم تفاعلية غامرة” – tahkoom.com
ميديا

“ألعاب الواقع الافتراضي: رحلة إلى عوالم تفاعلية غامرة”

في هذا التقرير المصور، نأخذك في جولة بصرية داخل عالم ألعاب الواقع الافتراضي (VR)، حيث تندمج التكنولوجيا مع الترفيه لخلق تجارب لا مثيل لها. من خلال نظارات الواقع الافتراضي المتطورة، يمكن للاعبين التفاعل مع بيئات ثلاثية الأبعاد، مما يتيح لهم الانغماس الكامل في الألعاب. سنستعرض أبرز الألعاب المتاحة، مثل “Beat Saber” و”Half-Life: Alyx”، التي تقدم تجارب تفاعلية مبتكرة. كما نسلط الضوء على التحديات التي تواجه هذه التقنية، مثل التكلفة المرتفعة ومشاكل الراحة أثناء الاستخدام الطويل. انضم إلينا لاكتشاف كيف يُعيد الواقع الافتراضي تعريف مفهوم اللعب ويشكل مستقبل صناعة الألعاب.

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