/home/kueuepay/public_html/vendor/paragonie/sodium_compat/src/Core/Ristretto255.php
<?php
/**
* Class ParagonIE_Sodium_Core_Ristretto255
*/
class ParagonIE_Sodium_Core_Ristretto255 extends ParagonIE_Sodium_Core_Ed25519
{
const crypto_core_ristretto255_HASHBYTES = 64;
const HASH_SC_L = 48;
const CORE_H2C_SHA256 = 1;
const CORE_H2C_SHA512 = 2;
/**
* @param ParagonIE_Sodium_Core_Curve25519_Fe $f
* @param int $b
* @return ParagonIE_Sodium_Core_Curve25519_Fe
*/
public static function fe_cneg(ParagonIE_Sodium_Core_Curve25519_Fe $f, $b)
{
$negf = self::fe_neg($f);
return self::fe_cmov($f, $negf, $b);
}
/**
* @param ParagonIE_Sodium_Core_Curve25519_Fe $f
* @return ParagonIE_Sodium_Core_Curve25519_Fe
* @throws SodiumException
*/
public static function fe_abs(ParagonIE_Sodium_Core_Curve25519_Fe $f)
{
return self::fe_cneg($f, self::fe_isnegative($f));
}
/**
* Returns 0 if this field element results in all NUL bytes.
*
* @internal You should not use this directly from another application
*
* @param ParagonIE_Sodium_Core_Curve25519_Fe $f
* @return int
* @throws SodiumException
*/
public static function fe_iszero(ParagonIE_Sodium_Core_Curve25519_Fe $f)
{
static $zero;
if ($zero === null) {
$zero = str_repeat("\x00", 32);
}
/** @var string $zero */
$str = self::fe_tobytes($f);
$d = 0;
for ($i = 0; $i < 32; ++$i) {
$d |= self::chrToInt($str[$i]);
}
return (($d - 1) >> 31) & 1;
}
/**
* @param ParagonIE_Sodium_Core_Curve25519_Fe $u
* @param ParagonIE_Sodium_Core_Curve25519_Fe $v
* @return array{x: ParagonIE_Sodium_Core_Curve25519_Fe, nonsquare: int}
*
* @throws SodiumException
*/
public static function ristretto255_sqrt_ratio_m1(
ParagonIE_Sodium_Core_Curve25519_Fe $u,
ParagonIE_Sodium_Core_Curve25519_Fe $v
) {
$sqrtm1 = ParagonIE_Sodium_Core_Curve25519_Fe::fromArray(self::$sqrtm1);
$v3 = self::fe_mul(
self::fe_sq($v),
$v
); /* v3 = v^3 */
$x = self::fe_mul(
self::fe_mul(
self::fe_sq($v3),
$u
),
$v
); /* x = uv^7 */
$x = self::fe_mul(
self::fe_mul(
self::fe_pow22523($x), /* x = (uv^7)^((q-5)/8) */
$v3
),
$u
); /* x = uv^3(uv^7)^((q-5)/8) */
$vxx = self::fe_mul(
self::fe_sq($x),
$v
); /* vx^2 */
$m_root_check = self::fe_sub($vxx, $u); /* vx^2-u */
$p_root_check = self::fe_add($vxx, $u); /* vx^2+u */
$f_root_check = self::fe_mul($u, $sqrtm1); /* u*sqrt(-1) */
$f_root_check = self::fe_add($vxx, $f_root_check); /* vx^2+u*sqrt(-1) */
$has_m_root = self::fe_iszero($m_root_check);
$has_p_root = self::fe_iszero($p_root_check);
$has_f_root = self::fe_iszero($f_root_check);
$x_sqrtm1 = self::fe_mul($x, $sqrtm1); /* x*sqrt(-1) */
$x = self::fe_abs(
self::fe_cmov($x, $x_sqrtm1, $has_p_root | $has_f_root)
);
return array(
'x' => $x,
'nonsquare' => $has_m_root | $has_p_root
);
}
/**
* @param string $s
* @return int
* @throws SodiumException
*/
public static function ristretto255_point_is_canonical($s)
{
$c = (self::chrToInt($s[31]) & 0x7f) ^ 0x7f;
for ($i = 30; $i > 0; --$i) {
$c |= self::chrToInt($s[$i]) ^ 0xff;
}
$c = ($c - 1) >> 8;
$d = (0xed - 1 - self::chrToInt($s[0])) >> 8;
$e = self::chrToInt($s[31]) >> 7;
return 1 - ((($c & $d) | $e | self::chrToInt($s[0])) & 1);
}
/**
* @param string $s
* @param bool $skipCanonicalCheck
* @return array{h: ParagonIE_Sodium_Core_Curve25519_Ge_P3, res: int}
* @throws SodiumException
*/
public static function ristretto255_frombytes($s, $skipCanonicalCheck = false)
{
if (!$skipCanonicalCheck) {
if (!self::ristretto255_point_is_canonical($s)) {
throw new SodiumException('S is not canonical');
}
}
$s_ = self::fe_frombytes($s);
$ss = self::fe_sq($s_); /* ss = s^2 */
$u1 = self::fe_sub(self::fe_1(), $ss); /* u1 = 1-ss */
$u1u1 = self::fe_sq($u1); /* u1u1 = u1^2 */
$u2 = self::fe_add(self::fe_1(), $ss); /* u2 = 1+ss */
$u2u2 = self::fe_sq($u2); /* u2u2 = u2^2 */
$v = self::fe_mul(
ParagonIE_Sodium_Core_Curve25519_Fe::fromArray(self::$d),
$u1u1
); /* v = d*u1^2 */
$v = self::fe_neg($v); /* v = -d*u1^2 */
$v = self::fe_sub($v, $u2u2); /* v = -(d*u1^2)-u2^2 */
$v_u2u2 = self::fe_mul($v, $u2u2); /* v_u2u2 = v*u2^2 */
// fe25519_1(one);
// notsquare = ristretto255_sqrt_ratio_m1(inv_sqrt, one, v_u2u2);
$one = self::fe_1();
$result = self::ristretto255_sqrt_ratio_m1($one, $v_u2u2);
$inv_sqrt = $result['x'];
$notsquare = $result['nonsquare'];
$h = new ParagonIE_Sodium_Core_Curve25519_Ge_P3();
$h->X = self::fe_mul($inv_sqrt, $u2);
$h->Y = self::fe_mul(self::fe_mul($inv_sqrt, $h->X), $v);
$h->X = self::fe_mul($h->X, $s_);
$h->X = self::fe_abs(
self::fe_add($h->X, $h->X)
);
$h->Y = self::fe_mul($u1, $h->Y);
$h->Z = self::fe_1();
$h->T = self::fe_mul($h->X, $h->Y);
$res = - ((1 - $notsquare) | self::fe_isnegative($h->T) | self::fe_iszero($h->Y));
return array('h' => $h, 'res' => $res);
}
/**
* @param ParagonIE_Sodium_Core_Curve25519_Ge_P3 $h
* @return string
* @throws SodiumException
*/
public static function ristretto255_p3_tobytes(ParagonIE_Sodium_Core_Curve25519_Ge_P3 $h)
{
$sqrtm1 = ParagonIE_Sodium_Core_Curve25519_Fe::fromArray(self::$sqrtm1);
$invsqrtamd = ParagonIE_Sodium_Core_Curve25519_Fe::fromArray(self::$invsqrtamd);
$u1 = self::fe_add($h->Z, $h->Y); /* u1 = Z+Y */
$zmy = self::fe_sub($h->Z, $h->Y); /* zmy = Z-Y */
$u1 = self::fe_mul($u1, $zmy); /* u1 = (Z+Y)*(Z-Y) */
$u2 = self::fe_mul($h->X, $h->Y); /* u2 = X*Y */
$u1_u2u2 = self::fe_mul(self::fe_sq($u2), $u1); /* u1_u2u2 = u1*u2^2 */
$one = self::fe_1();
// fe25519_1(one);
// (void) ristretto255_sqrt_ratio_m1(inv_sqrt, one, u1_u2u2);
$result = self::ristretto255_sqrt_ratio_m1($one, $u1_u2u2);
$inv_sqrt = $result['x'];
$den1 = self::fe_mul($inv_sqrt, $u1); /* den1 = inv_sqrt*u1 */
$den2 = self::fe_mul($inv_sqrt, $u2); /* den2 = inv_sqrt*u2 */
$z_inv = self::fe_mul($h->T, self::fe_mul($den1, $den2)); /* z_inv = den1*den2*T */
$ix = self::fe_mul($h->X, $sqrtm1); /* ix = X*sqrt(-1) */
$iy = self::fe_mul($h->Y, $sqrtm1); /* iy = Y*sqrt(-1) */
$eden = self::fe_mul($den1, $invsqrtamd);
$t_z_inv = self::fe_mul($h->T, $z_inv); /* t_z_inv = T*z_inv */
$rotate = self::fe_isnegative($t_z_inv);
$x_ = self::fe_copy($h->X);
$y_ = self::fe_copy($h->Y);
$den_inv = self::fe_copy($den2);
$x_ = self::fe_cmov($x_, $iy, $rotate);
$y_ = self::fe_cmov($y_, $ix, $rotate);
$den_inv = self::fe_cmov($den_inv, $eden, $rotate);
$x_z_inv = self::fe_mul($x_, $z_inv);
$y_ = self::fe_cneg($y_, self::fe_isnegative($x_z_inv));
// fe25519_sub(s_, h->Z, y_);
// fe25519_mul(s_, den_inv, s_);
// fe25519_abs(s_, s_);
// fe25519_tobytes(s, s_);
return self::fe_tobytes(
self::fe_abs(
self::fe_mul(
$den_inv,
self::fe_sub($h->Z, $y_)
)
)
);
}
/**
* @param ParagonIE_Sodium_Core_Curve25519_Fe $t
* @return ParagonIE_Sodium_Core_Curve25519_Ge_P3
*
* @throws SodiumException
*/
public static function ristretto255_elligator(ParagonIE_Sodium_Core_Curve25519_Fe $t)
{
$sqrtm1 = ParagonIE_Sodium_Core_Curve25519_Fe::fromArray(self::$sqrtm1);
$onemsqd = ParagonIE_Sodium_Core_Curve25519_Fe::fromArray(self::$onemsqd);
$d = ParagonIE_Sodium_Core_Curve25519_Fe::fromArray(self::$d);
$sqdmone = ParagonIE_Sodium_Core_Curve25519_Fe::fromArray(self::$sqdmone);
$sqrtadm1 = ParagonIE_Sodium_Core_Curve25519_Fe::fromArray(self::$sqrtadm1);
$one = self::fe_1();
$r = self::fe_mul($sqrtm1, self::fe_sq($t)); /* r = sqrt(-1)*t^2 */
$u = self::fe_mul(self::fe_add($r, $one), $onemsqd); /* u = (r+1)*(1-d^2) */
$c = self::fe_neg(self::fe_1()); /* c = -1 */
$rpd = self::fe_add($r, $d); /* rpd = r+d */
$v = self::fe_mul(
self::fe_sub(
$c,
self::fe_mul($r, $d)
),
$rpd
); /* v = (c-r*d)*(r+d) */
$result = self::ristretto255_sqrt_ratio_m1($u, $v);
$s = $result['x'];
$wasnt_square = 1 - $result['nonsquare'];
$s_prime = self::fe_neg(
self::fe_abs(
self::fe_mul($s, $t)
)
); /* s_prime = -|s*t| */
$s = self::fe_cmov($s, $s_prime, $wasnt_square);
$c = self::fe_cmov($c, $r, $wasnt_square);
// fe25519_sub(n, r, one); /* n = r-1 */
// fe25519_mul(n, n, c); /* n = c*(r-1) */
// fe25519_mul(n, n, ed25519_sqdmone); /* n = c*(r-1)*(d-1)^2 */
// fe25519_sub(n, n, v); /* n = c*(r-1)*(d-1)^2-v */
$n = self::fe_sub(
self::fe_mul(
self::fe_mul(
self::fe_sub($r, $one),
$c
),
$sqdmone
),
$v
); /* n = c*(r-1)*(d-1)^2-v */
$w0 = self::fe_mul(
self::fe_add($s, $s),
$v
); /* w0 = 2s*v */
$w1 = self::fe_mul($n, $sqrtadm1); /* w1 = n*sqrt(ad-1) */
$ss = self::fe_sq($s); /* ss = s^2 */
$w2 = self::fe_sub($one, $ss); /* w2 = 1-s^2 */
$w3 = self::fe_add($one, $ss); /* w3 = 1+s^2 */
return new ParagonIE_Sodium_Core_Curve25519_Ge_P3(
self::fe_mul($w0, $w3),
self::fe_mul($w2, $w1),
self::fe_mul($w1, $w3),
self::fe_mul($w0, $w2)
);
}
/**
* @param string $h
* @return string
* @throws SodiumException
*/
public static function ristretto255_from_hash($h)
{
if (self::strlen($h) !== 64) {
throw new SodiumException('Hash must be 64 bytes');
}
//fe25519_frombytes(r0, h);
//fe25519_frombytes(r1, h + 32);
$r0 = self::fe_frombytes(self::substr($h, 0, 32));
$r1 = self::fe_frombytes(self::substr($h, 32, 32));
//ristretto255_elligator(&p0, r0);
//ristretto255_elligator(&p1, r1);
$p0 = self::ristretto255_elligator($r0);
$p1 = self::ristretto255_elligator($r1);
//ge25519_p3_to_cached(&p1_cached, &p1);
//ge25519_add_cached(&p_p1p1, &p0, &p1_cached);
$p_p1p1 = self::ge_add(
$p0,
self::ge_p3_to_cached($p1)
);
//ge25519_p1p1_to_p3(&p, &p_p1p1);
//ristretto255_p3_tobytes(s, &p);
return self::ristretto255_p3_tobytes(
self::ge_p1p1_to_p3($p_p1p1)
);
}
/**
* @param string $p
* @return int
* @throws SodiumException
*/
public static function is_valid_point($p)
{
$result = self::ristretto255_frombytes($p);
if ($result['res'] !== 0) {
return 0;
}
return 1;
}
/**
* @param string $p
* @param string $q
* @return string
* @throws SodiumException
*/
public static function ristretto255_add($p, $q)
{
$p_res = self::ristretto255_frombytes($p);
$q_res = self::ristretto255_frombytes($q);
if ($p_res['res'] !== 0 || $q_res['res'] !== 0) {
throw new SodiumException('Could not add points');
}
$p_p3 = $p_res['h'];
$q_p3 = $q_res['h'];
$q_cached = self::ge_p3_to_cached($q_p3);
$r_p1p1 = self::ge_add($p_p3, $q_cached);
$r_p3 = self::ge_p1p1_to_p3($r_p1p1);
return self::ristretto255_p3_tobytes($r_p3);
}
/**
* @param string $p
* @param string $q
* @return string
* @throws SodiumException
*/
public static function ristretto255_sub($p, $q)
{
$p_res = self::ristretto255_frombytes($p);
$q_res = self::ristretto255_frombytes($q);
if ($p_res['res'] !== 0 || $q_res['res'] !== 0) {
throw new SodiumException('Could not add points');
}
$p_p3 = $p_res['h'];
$q_p3 = $q_res['h'];
$q_cached = self::ge_p3_to_cached($q_p3);
$r_p1p1 = self::ge_sub($p_p3, $q_cached);
$r_p3 = self::ge_p1p1_to_p3($r_p1p1);
return self::ristretto255_p3_tobytes($r_p3);
}
/**
* @param int $hLen
* @param ?string $ctx
* @param string $msg
* @return string
* @throws SodiumException
* @psalm-suppress PossiblyInvalidArgument hash API
*/
protected static function h2c_string_to_hash_sha256($hLen, $ctx, $msg)
{
$h = array_fill(0, $hLen, 0);
$ctx_len = !is_null($ctx) ? self::strlen($ctx) : 0;
if ($hLen > 0xff) {
throw new SodiumException('Hash must be less than 256 bytes');
}
if ($ctx_len > 0xff) {
$st = hash_init('sha256');
self::hash_update($st, "H2C-OVERSIZE-DST-");
self::hash_update($st, $ctx);
$ctx = hash_final($st, true);
$ctx_len = 32;
}
$t = array(0, $hLen, 0);
$ux = str_repeat("\0", 64);
$st = hash_init('sha256');
self::hash_update($st, $ux);
self::hash_update($st, $msg);
self::hash_update($st, self::intArrayToString($t));
self::hash_update($st, $ctx);
self::hash_update($st, self::intToChr($ctx_len));
$u0 = hash_final($st, true);
for ($i = 0; $i < $hLen; $i += 64) {
$ux = self::xorStrings($ux, $u0);
++$t[2];
$st = hash_init('sha256');
self::hash_update($st, $ux);
self::hash_update($st, self::intToChr($t[2]));
self::hash_update($st, $ctx);
self::hash_update($st, self::intToChr($ctx_len));
$ux = hash_final($st, true);
$amount = min($hLen - $i, 64);
for ($j = 0; $j < $amount; ++$j) {
$h[$i + $j] = self::chrToInt($ux[$i]);
}
}
return self::intArrayToString(array_slice($h, 0, $hLen));
}
/**
* @param int $hLen
* @param ?string $ctx
* @param string $msg
* @return string
* @throws SodiumException
* @psalm-suppress PossiblyInvalidArgument hash API
*/
protected static function h2c_string_to_hash_sha512($hLen, $ctx, $msg)
{
$h = array_fill(0, $hLen, 0);
$ctx_len = !is_null($ctx) ? self::strlen($ctx) : 0;
if ($hLen > 0xff) {
throw new SodiumException('Hash must be less than 256 bytes');
}
if ($ctx_len > 0xff) {
$st = hash_init('sha256');
self::hash_update($st, "H2C-OVERSIZE-DST-");
self::hash_update($st, $ctx);
$ctx = hash_final($st, true);
$ctx_len = 32;
}
$t = array(0, $hLen, 0);
$ux = str_repeat("\0", 128);
$st = hash_init('sha512');
self::hash_update($st, $ux);
self::hash_update($st, $msg);
self::hash_update($st, self::intArrayToString($t));
self::hash_update($st, $ctx);
self::hash_update($st, self::intToChr($ctx_len));
$u0 = hash_final($st, true);
for ($i = 0; $i < $hLen; $i += 128) {
$ux = self::xorStrings($ux, $u0);
++$t[2];
$st = hash_init('sha512');
self::hash_update($st, $ux);
self::hash_update($st, self::intToChr($t[2]));
self::hash_update($st, $ctx);
self::hash_update($st, self::intToChr($ctx_len));
$ux = hash_final($st, true);
$amount = min($hLen - $i, 128);
for ($j = 0; $j < $amount; ++$j) {
$h[$i + $j] = self::chrToInt($ux[$i]);
}
}
return self::intArrayToString(array_slice($h, 0, $hLen));
}
/**
* @param int $hLen
* @param ?string $ctx
* @param string $msg
* @param int $hash_alg
* @return string
* @throws SodiumException
*/
public static function h2c_string_to_hash($hLen, $ctx, $msg, $hash_alg)
{
switch ($hash_alg) {
case self::CORE_H2C_SHA256:
return self::h2c_string_to_hash_sha256($hLen, $ctx, $msg);
case self::CORE_H2C_SHA512:
return self::h2c_string_to_hash_sha512($hLen, $ctx, $msg);
default:
throw new SodiumException('Invalid H2C hash algorithm');
}
}
/**
* @param ?string $ctx
* @param string $msg
* @param int $hash_alg
* @return string
* @throws SodiumException
*/
protected static function _string_to_element($ctx, $msg, $hash_alg)
{
return self::ristretto255_from_hash(
self::h2c_string_to_hash(self::crypto_core_ristretto255_HASHBYTES, $ctx, $msg, $hash_alg)
);
}
/**
* @return string
* @throws SodiumException
* @throws Exception
*/
public static function ristretto255_random()
{
return self::ristretto255_from_hash(
ParagonIE_Sodium_Compat::randombytes_buf(self::crypto_core_ristretto255_HASHBYTES)
);
}
/**
* @return string
* @throws SodiumException
*/
public static function ristretto255_scalar_random()
{
return self::scalar_random();
}
/**
* @param string $s
* @return string
* @throws SodiumException
*/
public static function ristretto255_scalar_complement($s)
{
return self::scalar_complement($s);
}
/**
* @param string $s
* @return string
*/
public static function ristretto255_scalar_invert($s)
{
return self::sc25519_invert($s);
}
/**
* @param string $s
* @return string
* @throws SodiumException
*/
public static function ristretto255_scalar_negate($s)
{
return self::scalar_negate($s);
}
/**
* @param string $x
* @param string $y
* @return string
*/
public static function ristretto255_scalar_add($x, $y)
{
return self::scalar_add($x, $y);
}
/**
* @param string $x
* @param string $y
* @return string
*/
public static function ristretto255_scalar_sub($x, $y)
{
return self::scalar_sub($x, $y);
}
/**
* @param string $x
* @param string $y
* @return string
*/
public static function ristretto255_scalar_mul($x, $y)
{
return self::sc25519_mul($x, $y);
}
/**
* @param string $ctx
* @param string $msg
* @param int $hash_alg
* @return string
* @throws SodiumException
*/
public static function ristretto255_scalar_from_string($ctx, $msg, $hash_alg)
{
$h = array_fill(0, 64, 0);
$h_be = self::stringToIntArray(
self::h2c_string_to_hash(
self::HASH_SC_L, $ctx, $msg, $hash_alg
)
);
for ($i = 0; $i < self::HASH_SC_L; ++$i) {
$h[$i] = $h_be[self::HASH_SC_L - 1 - $i];
}
return self::ristretto255_scalar_reduce(self::intArrayToString($h));
}
/**
* @param string $s
* @return string
*/
public static function ristretto255_scalar_reduce($s)
{
return self::sc_reduce($s);
}
/**
* @param string $n
* @param string $p
* @return string
* @throws SodiumException
*/
public static function scalarmult_ristretto255($n, $p)
{
if (self::strlen($n) !== 32) {
throw new SodiumException('Scalar must be 32 bytes, ' . self::strlen($p) . ' given.');
}
if (self::strlen($p) !== 32) {
throw new SodiumException('Point must be 32 bytes, ' . self::strlen($p) . ' given.');
}
$result = self::ristretto255_frombytes($p);
if ($result['res'] !== 0) {
throw new SodiumException('Could not multiply points');
}
$P = $result['h'];
$t = self::stringToIntArray($n);
$t[31] &= 0x7f;
$Q = self::ge_scalarmult(self::intArrayToString($t), $P);
$q = self::ristretto255_p3_tobytes($Q);
if (ParagonIE_Sodium_Compat::is_zero($q)) {
throw new SodiumException('An unknown error has occurred');
}
return $q;
}
/**
* @param string $n
* @return string
* @throws SodiumException
*/
public static function scalarmult_ristretto255_base($n)
{
$t = self::stringToIntArray($n);
$t[31] &= 0x7f;
$Q = self::ge_scalarmult_base(self::intArrayToString($t));
$q = self::ristretto255_p3_tobytes($Q);
if (ParagonIE_Sodium_Compat::is_zero($q)) {
throw new SodiumException('An unknown error has occurred');
}
return $q;
}
}
Service
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Our Services: Streamlining Your Payment Experience with Excellence
Discover how our services are designed to enhance your NFC Pay experience with convenience, security, and innovative solutions. From managing transactions to secure payments, we are dedicated to providing seamless support every step of the way.
Secure Card Storage
Easily save your credit and debit card details within our app for quick and secure transactions. This feature ensures that your payment information is protected with advanced encryption and can be used for future purchases with just a tap.
Effortless Money Transfers
Transfer funds quickly and securely between users with our streamlined money transfer service. Simply select the recipient, enter the amount, and authorize the transaction for instant, hassle-free transfers.
Merchant Account Setup
Activate your merchant account effortlessly to start receiving payments. Our intuitive setup process ensures that you can begin accepting transactions smoothly, helping your business thrive with minimal setup time.
Real-Time Transaction Tracking
Keep track of all your transactions in real time through our app. Monitor payment statuses, view transaction history, and manage your account efficiently, ensuring complete control over your financial activities.
Customer Support
Our dedicated support team is available to assist you with any queries or issues. Whether you need help with setting up your account or resolving transaction-related questions, we’re here to provide prompt and reliable assistance.
In the digital age, privacy concerns have become increasingly paramount, prompting the European Union to enact the General Data Protection Regulation (GDPR) in 2018. Among its many provisions, GDPR sets strict guidelines for the collection and processing of personal data, including the use of cookies on websites. Privacy Policy
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