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/home/tahkoom/public_html/wp-includes/sodium_compat/src/Core/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);
}
}
عن المجلة – tahkoom.com
في زمنٍ لم تعد فيه الأزرار تُضغط
لسنا مجرد مجلة تقنية… نحن مرآة لعصر تغيّرت فيه موازين السيطرة.
“تحكم” تسأل الأسئلة التي يتجنبها الآخرون:
في صفحاتنا، لا نُجامل الثورة الرقمية… بل نفكّكها، نُحللها، ونطرحها على طاولة النقاش.
نحن لا نُخبرك فقط بما يحدث، بل لماذا يحدث، ولمن، وعلى حساب من.
تحكم… لأنّ من يملك المعلومة، يملك السيطرة.
رسالة المجلة:
رؤية المجلة:
الأقسام:
نحن فريق من طلاب كلية الإعلام، نكتب ونصمّم ونحلّل لنقدّم محتوى أصيلًا، ذكيًا، وواقعيًا. نختار موضوعاتنا بعناية، ونحرص على أن يكون كل ملف نطرحه مساحة للفهم والتساؤل، لا التكرار والإبهار الزائف.
فريق التحرير:
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