<?php
if (class_exists('ParagonIE_Sodium_Core_X25519', false)) {
return;
}
/**
* Class ParagonIE_Sodium_Core_X25519
*/
abstract class ParagonIE_Sodium_Core_X25519 extends ParagonIE_Sodium_Core_Curve25519
{
/**
* Alters the objects passed to this method in place.
*
* @internal You should not use this directly from another application
*
* @param ParagonIE_Sodium_Core_Curve25519_Fe $f
* @param ParagonIE_Sodium_Core_Curve25519_Fe $g
* @param int $b
* @return void
* @psalm-suppress MixedAssignment
*/
public static function fe_cswap(
ParagonIE_Sodium_Core_Curve25519_Fe $f,
ParagonIE_Sodium_Core_Curve25519_Fe $g,
$b = 0
) {
$f0 = (int) $f[0];
$f1 = (int) $f[1];
$f2 = (int) $f[2];
$f3 = (int) $f[3];
$f4 = (int) $f[4];
$f5 = (int) $f[5];
$f6 = (int) $f[6];
$f7 = (int) $f[7];
$f8 = (int) $f[8];
$f9 = (int) $f[9];
$g0 = (int) $g[0];
$g1 = (int) $g[1];
$g2 = (int) $g[2];
$g3 = (int) $g[3];
$g4 = (int) $g[4];
$g5 = (int) $g[5];
$g6 = (int) $g[6];
$g7 = (int) $g[7];
$g8 = (int) $g[8];
$g9 = (int) $g[9];
$b = -$b;
$x0 = ($f0 ^ $g0) & $b;
$x1 = ($f1 ^ $g1) & $b;
$x2 = ($f2 ^ $g2) & $b;
$x3 = ($f3 ^ $g3) & $b;
$x4 = ($f4 ^ $g4) & $b;
$x5 = ($f5 ^ $g5) & $b;
$x6 = ($f6 ^ $g6) & $b;
$x7 = ($f7 ^ $g7) & $b;
$x8 = ($f8 ^ $g8) & $b;
$x9 = ($f9 ^ $g9) & $b;
$f[0] = $f0 ^ $x0;
$f[1] = $f1 ^ $x1;
$f[2] = $f2 ^ $x2;
$f[3] = $f3 ^ $x3;
$f[4] = $f4 ^ $x4;
$f[5] = $f5 ^ $x5;
$f[6] = $f6 ^ $x6;
$f[7] = $f7 ^ $x7;
$f[8] = $f8 ^ $x8;
$f[9] = $f9 ^ $x9;
$g[0] = $g0 ^ $x0;
$g[1] = $g1 ^ $x1;
$g[2] = $g2 ^ $x2;
$g[3] = $g3 ^ $x3;
$g[4] = $g4 ^ $x4;
$g[5] = $g5 ^ $x5;
$g[6] = $g6 ^ $x6;
$g[7] = $g7 ^ $x7;
$g[8] = $g8 ^ $x8;
$g[9] = $g9 ^ $x9;
}
/**
* @internal You should not use this directly from another application
*
* @param ParagonIE_Sodium_Core_Curve25519_Fe $f
* @return ParagonIE_Sodium_Core_Curve25519_Fe
*/
public static function fe_mul121666(ParagonIE_Sodium_Core_Curve25519_Fe $f)
{
$h = array(
self::mul((int) $f[0], 121666, 17),
self::mul((int) $f[1], 121666, 17),
self::mul((int) $f[2], 121666, 17),
self::mul((int) $f[3], 121666, 17),
self::mul((int) $f[4], 121666, 17),
self::mul((int) $f[5], 121666, 17),
self::mul((int) $f[6], 121666, 17),
self::mul((int) $f[7], 121666, 17),
self::mul((int) $f[8], 121666, 17),
self::mul((int) $f[9], 121666, 17)
);
/** @var int $carry9 */
$carry9 = ($h[9] + (1 << 24)) >> 25;
$h[0] += self::mul($carry9, 19, 5);
$h[9] -= $carry9 << 25;
/** @var int $carry1 */
$carry1 = ($h[1] + (1 << 24)) >> 25;
$h[2] += $carry1;
$h[1] -= $carry1 << 25;
/** @var int $carry3 */
$carry3 = ($h[3] + (1 << 24)) >> 25;
$h[4] += $carry3;
$h[3] -= $carry3 << 25;
/** @var int $carry5 */
$carry5 = ($h[5] + (1 << 24)) >> 25;
$h[6] += $carry5;
$h[5] -= $carry5 << 25;
/** @var int $carry7 */
$carry7 = ($h[7] + (1 << 24)) >> 25;
$h[8] += $carry7;
$h[7] -= $carry7 << 25;
/** @var int $carry0 */
$carry0 = ($h[0] + (1 << 25)) >> 26;
$h[1] += $carry0;
$h[0] -= $carry0 << 26;
/** @var int $carry2 */
$carry2 = ($h[2] + (1 << 25)) >> 26;
$h[3] += $carry2;
$h[2] -= $carry2 << 26;
/** @var int $carry4 */
$carry4 = ($h[4] + (1 << 25)) >> 26;
$h[5] += $carry4;
$h[4] -= $carry4 << 26;
/** @var int $carry6 */
$carry6 = ($h[6] + (1 << 25)) >> 26;
$h[7] += $carry6;
$h[6] -= $carry6 << 26;
/** @var int $carry8 */
$carry8 = ($h[8] + (1 << 25)) >> 26;
$h[9] += $carry8;
$h[8] -= $carry8 << 26;
foreach ($h as $i => $value) {
$h[$i] = (int) $value;
}
return ParagonIE_Sodium_Core_Curve25519_Fe::fromArray($h);
}
/**
* @internal You should not use this directly from another application
*
* Inline comments preceded by # are from libsodium's ref10 code.
*
* @param string $n
* @param string $p
* @return string
* @throws SodiumException
* @throws TypeError
*/
public static function crypto_scalarmult_curve25519_ref10($n, $p)
{
# for (i = 0;i < 32;++i) e[i] = n[i];
$e = '' . $n;
# e[0] &= 248;
$e[0] = self::intToChr(
self::chrToInt($e[0]) & 248
);
# e[31] &= 127;
# e[31] |= 64;
$e[31] = self::intToChr(
(self::chrToInt($e[31]) & 127) | 64
);
# fe_frombytes(x1,p);
$x1 = self::fe_frombytes($p);
# fe_1(x2);
$x2 = self::fe_1();
# fe_0(z2);
$z2 = self::fe_0();
# fe_copy(x3,x1);
$x3 = self::fe_copy($x1);
# fe_1(z3);
$z3 = self::fe_1();
# swap = 0;
/** @var int $swap */
$swap = 0;
# for (pos = 254;pos >= 0;--pos) {
for ($pos = 254; $pos >= 0; --$pos) {
# b = e[pos / 8] >> (pos & 7);
/** @var int $b */
$b = self::chrToInt(
$e[(int) floor($pos / 8)]
) >> ($pos & 7);
# b &= 1;
$b &= 1;
# swap ^= b;
$swap ^= $b;
# fe_cswap(x2,x3,swap);
self::fe_cswap($x2, $x3, $swap);
# fe_cswap(z2,z3,swap);
self::fe_cswap($z2, $z3, $swap);
# swap = b;
$swap = $b;
# fe_sub(tmp0,x3,z3);
$tmp0 = self::fe_sub($x3, $z3);
# fe_sub(tmp1,x2,z2);
$tmp1 = self::fe_sub($x2, $z2);
# fe_add(x2,x2,z2);
$x2 = self::fe_add($x2, $z2);
# fe_add(z2,x3,z3);
$z2 = self::fe_add($x3, $z3);
# fe_mul(z3,tmp0,x2);
$z3 = self::fe_mul($tmp0, $x2);
# fe_mul(z2,z2,tmp1);
$z2 = self::fe_mul($z2, $tmp1);
# fe_sq(tmp0,tmp1);
$tmp0 = self::fe_sq($tmp1);
# fe_sq(tmp1,x2);
$tmp1 = self::fe_sq($x2);
# fe_add(x3,z3,z2);
$x3 = self::fe_add($z3, $z2);
# fe_sub(z2,z3,z2);
$z2 = self::fe_sub($z3, $z2);
# fe_mul(x2,tmp1,tmp0);
$x2 = self::fe_mul($tmp1, $tmp0);
# fe_sub(tmp1,tmp1,tmp0);
$tmp1 = self::fe_sub($tmp1, $tmp0);
# fe_sq(z2,z2);
$z2 = self::fe_sq($z2);
# fe_mul121666(z3,tmp1);
$z3 = self::fe_mul121666($tmp1);
# fe_sq(x3,x3);
$x3 = self::fe_sq($x3);
# fe_add(tmp0,tmp0,z3);
$tmp0 = self::fe_add($tmp0, $z3);
# fe_mul(z3,x1,z2);
$z3 = self::fe_mul($x1, $z2);
# fe_mul(z2,tmp1,tmp0);
$z2 = self::fe_mul($tmp1, $tmp0);
}
# fe_cswap(x2,x3,swap);
self::fe_cswap($x2, $x3, $swap);
# fe_cswap(z2,z3,swap);
self::fe_cswap($z2, $z3, $swap);
# fe_invert(z2,z2);
$z2 = self::fe_invert($z2);
# fe_mul(x2,x2,z2);
$x2 = self::fe_mul($x2, $z2);
# fe_tobytes(q,x2);
return self::fe_tobytes($x2);
}
/**
* @internal You should not use this directly from another application
*
* @param ParagonIE_Sodium_Core_Curve25519_Fe $edwardsY
* @param ParagonIE_Sodium_Core_Curve25519_Fe $edwardsZ
* @return ParagonIE_Sodium_Core_Curve25519_Fe
*/
public static function edwards_to_montgomery(
ParagonIE_Sodium_Core_Curve25519_Fe $edwardsY,
ParagonIE_Sodium_Core_Curve25519_Fe $edwardsZ
) {
$tempX = self::fe_add($edwardsZ, $edwardsY);
$tempZ = self::fe_sub($edwardsZ, $edwardsY);
$tempZ = self::fe_invert($tempZ);
return self::fe_mul($tempX, $tempZ);
}
/**
* @internal You should not use this directly from another application
*
* @param string $n
* @return string
* @throws SodiumException
* @throws TypeError
*/
public static function crypto_scalarmult_curve25519_ref10_base($n)
{
# for (i = 0;i < 32;++i) e[i] = n[i];
$e = '' . $n;
# e[0] &= 248;
$e[0] = self::intToChr(
self::chrToInt($e[0]) & 248
);
# e[31] &= 127;
# e[31] |= 64;
$e[31] = self::intToChr(
(self::chrToInt($e[31]) & 127) | 64
);
$A = self::ge_scalarmult_base($e);
if (
!($A->Y instanceof ParagonIE_Sodium_Core_Curve25519_Fe)
||
!($A->Z instanceof ParagonIE_Sodium_Core_Curve25519_Fe)
) {
throw new TypeError('Null points encountered');
}
$pk = self::edwards_to_montgomery($A->Y, $A->Z);
return self::fe_tobytes($pk);
}
}
في ظل التحول الرقمي المتسارع، أصبح التسويق الإلكتروني أحد أهم الأدوات التي تعتمد عليها المؤسسات والشركات لتحقيق الانتشار والوصول إلى جمهور أوسع.
في هذا الحوار التسجيلي، نسلّط الضوء على مفهوم التسويق الإلكتروني، أهميته في العصر الحديث، وكيف غيّر قواعد اللعبة في عالم المال والأعمال.
ال