Developer
<?php
if (class_exists('ParagonIE_Sodium_Core32_Curve25519', false)) {
return;
}
/**
* Class ParagonIE_Sodium_Core32_Curve25519
*
* Implements Curve25519 core functions
*
* Based on the ref10 curve25519 code provided by libsodium
*
* @ref https://github.com/jedisct1/libsodium/blob/master/src/libsodium/crypto_core/curve25519/ref10/curve25519_ref10.c
*/
abstract class ParagonIE_Sodium_Core32_Curve25519 extends ParagonIE_Sodium_Core32_Curve25519_H
{
/**
* Get a field element of size 10 with a value of 0
*
* @internal You should not use this directly from another application
*
* @return ParagonIE_Sodium_Core32_Curve25519_Fe
* @throws SodiumException
* @throws TypeError
*/
public static function fe_0()
{
return ParagonIE_Sodium_Core32_Curve25519_Fe::fromArray(
array(
new ParagonIE_Sodium_Core32_Int32(),
new ParagonIE_Sodium_Core32_Int32(),
new ParagonIE_Sodium_Core32_Int32(),
new ParagonIE_Sodium_Core32_Int32(),
new ParagonIE_Sodium_Core32_Int32(),
new ParagonIE_Sodium_Core32_Int32(),
new ParagonIE_Sodium_Core32_Int32(),
new ParagonIE_Sodium_Core32_Int32(),
new ParagonIE_Sodium_Core32_Int32(),
new ParagonIE_Sodium_Core32_Int32()
)
);
}
/**
* Get a field element of size 10 with a value of 1
*
* @internal You should not use this directly from another application
*
* @return ParagonIE_Sodium_Core32_Curve25519_Fe
* @throws SodiumException
* @throws TypeError
*/
public static function fe_1()
{
return ParagonIE_Sodium_Core32_Curve25519_Fe::fromArray(
array(
ParagonIE_Sodium_Core32_Int32::fromInt(1),
new ParagonIE_Sodium_Core32_Int32(),
new ParagonIE_Sodium_Core32_Int32(),
new ParagonIE_Sodium_Core32_Int32(),
new ParagonIE_Sodium_Core32_Int32(),
new ParagonIE_Sodium_Core32_Int32(),
new ParagonIE_Sodium_Core32_Int32(),
new ParagonIE_Sodium_Core32_Int32(),
new ParagonIE_Sodium_Core32_Int32(),
new ParagonIE_Sodium_Core32_Int32()
)
);
}
/**
* Add two field elements.
*
* @internal You should not use this directly from another application
*
* @param ParagonIE_Sodium_Core32_Curve25519_Fe $f
* @param ParagonIE_Sodium_Core32_Curve25519_Fe $g
* @return ParagonIE_Sodium_Core32_Curve25519_Fe
* @throws SodiumException
* @throws TypeError
* @psalm-suppress MixedAssignment
* @psalm-suppress MixedMethodCall
*/
public static function fe_add(
ParagonIE_Sodium_Core32_Curve25519_Fe $f,
ParagonIE_Sodium_Core32_Curve25519_Fe $g
) {
$arr = array();
for ($i = 0; $i < 10; ++$i) {
$arr[$i] = $f[$i]->addInt32($g[$i]);
}
/** @var array<int, ParagonIE_Sodium_Core32_Int32> $arr */
return ParagonIE_Sodium_Core32_Curve25519_Fe::fromArray($arr);
}
/**
* Constant-time conditional move.
*
* @internal You should not use this directly from another application
*
* @param ParagonIE_Sodium_Core32_Curve25519_Fe $f
* @param ParagonIE_Sodium_Core32_Curve25519_Fe $g
* @param int $b
* @return ParagonIE_Sodium_Core32_Curve25519_Fe
* @throws SodiumException
* @throws TypeError
* @psalm-suppress MixedAssignment
* @psalm-suppress MixedMethodCall
*/
public static function fe_cmov(
ParagonIE_Sodium_Core32_Curve25519_Fe $f,
ParagonIE_Sodium_Core32_Curve25519_Fe $g,
$b = 0
) {
/** @var array<int, ParagonIE_Sodium_Core32_Int32> $h */
$h = array();
for ($i = 0; $i < 10; ++$i) {
if (!($f[$i] instanceof ParagonIE_Sodium_Core32_Int32)) {
throw new TypeError('Expected Int32');
}
if (!($g[$i] instanceof ParagonIE_Sodium_Core32_Int32)) {
throw new TypeError('Expected Int32');
}
$h[$i] = $f[$i]->xorInt32(
$f[$i]->xorInt32($g[$i])->mask($b)
);
}
/** @var array<int, ParagonIE_Sodium_Core32_Int32> $h */
return ParagonIE_Sodium_Core32_Curve25519_Fe::fromArray($h);
}
/**
* Create a copy of a field element.
*
* @internal You should not use this directly from another application
*
* @param ParagonIE_Sodium_Core32_Curve25519_Fe $f
* @return ParagonIE_Sodium_Core32_Curve25519_Fe
*/
public static function fe_copy(ParagonIE_Sodium_Core32_Curve25519_Fe $f)
{
$h = clone $f;
return $h;
}
/**
* Give: 32-byte string.
* Receive: A field element object to use for internal calculations.
*
* @internal You should not use this directly from another application
*
* @param string $s
* @return ParagonIE_Sodium_Core32_Curve25519_Fe
* @throws RangeException
* @throws SodiumException
* @throws TypeError
* @psalm-suppress MixedMethodCall
*/
public static function fe_frombytes($s)
{
if (self::strlen($s) !== 32) {
throw new RangeException('Expected a 32-byte string.');
}
/** @var ParagonIE_Sodium_Core32_Int32 $h0 */
$h0 = ParagonIE_Sodium_Core32_Int32::fromInt(
self::load_4($s)
);
/** @var ParagonIE_Sodium_Core32_Int32 $h1 */
$h1 = ParagonIE_Sodium_Core32_Int32::fromInt(
self::load_3(self::substr($s, 4, 3)) << 6
);
/** @var ParagonIE_Sodium_Core32_Int32 $h2 */
$h2 = ParagonIE_Sodium_Core32_Int32::fromInt(
self::load_3(self::substr($s, 7, 3)) << 5
);
/** @var ParagonIE_Sodium_Core32_Int32 $h3 */
$h3 = ParagonIE_Sodium_Core32_Int32::fromInt(
self::load_3(self::substr($s, 10, 3)) << 3
);
/** @var ParagonIE_Sodium_Core32_Int32 $h4 */
$h4 = ParagonIE_Sodium_Core32_Int32::fromInt(
self::load_3(self::substr($s, 13, 3)) << 2
);
/** @var ParagonIE_Sodium_Core32_Int32 $h5 */
$h5 = ParagonIE_Sodium_Core32_Int32::fromInt(
self::load_4(self::substr($s, 16, 4))
);
/** @var ParagonIE_Sodium_Core32_Int32 $h6 */
$h6 = ParagonIE_Sodium_Core32_Int32::fromInt(
self::load_3(self::substr($s, 20, 3)) << 7
);
/** @var ParagonIE_Sodium_Core32_Int32 $h7 */
$h7 = ParagonIE_Sodium_Core32_Int32::fromInt(
self::load_3(self::substr($s, 23, 3)) << 5
);
/** @var ParagonIE_Sodium_Core32_Int32 $h8 */
$h8 = ParagonIE_Sodium_Core32_Int32::fromInt(
self::load_3(self::substr($s, 26, 3)) << 4
);
/** @var ParagonIE_Sodium_Core32_Int32 $h9 */
$h9 = ParagonIE_Sodium_Core32_Int32::fromInt(
(self::load_3(self::substr($s, 29, 3)) & 8388607) << 2
);
$carry9 = $h9->addInt(1 << 24)->shiftRight(25);
$h0 = $h0->addInt32($carry9->mulInt(19, 5));
$h9 = $h9->subInt32($carry9->shiftLeft(25));
$carry1 = $h1->addInt(1 << 24)->shiftRight(25);
$h2 = $h2->addInt32($carry1);
$h1 = $h1->subInt32($carry1->shiftLeft(25));
$carry3 = $h3->addInt(1 << 24)->shiftRight(25);
$h4 = $h4->addInt32($carry3);
$h3 = $h3->subInt32($carry3->shiftLeft(25));
$carry5 = $h5->addInt(1 << 24)->shiftRight(25);
$h6 = $h6->addInt32($carry5);
$h5 = $h5->subInt32($carry5->shiftLeft(25));
$carry7 = $h7->addInt(1 << 24)->shiftRight(25);
$h8 = $h8->addInt32($carry7);
$h7 = $h7->subInt32($carry7->shiftLeft(25));
$carry0 = $h0->addInt(1 << 25)->shiftRight(26);
$h1 = $h1->addInt32($carry0);
$h0 = $h0->subInt32($carry0->shiftLeft(26));
$carry2 = $h2->addInt(1 << 25)->shiftRight(26);
$h3 = $h3->addInt32($carry2);
$h2 = $h2->subInt32($carry2->shiftLeft(26));
$carry4 = $h4->addInt(1 << 25)->shiftRight(26);
$h5 = $h5->addInt32($carry4);
$h4 = $h4->subInt32($carry4->shiftLeft(26));
$carry6 = $h6->addInt(1 << 25)->shiftRight(26);
$h7 = $h7->addInt32($carry6);
$h6 = $h6->subInt32($carry6->shiftLeft(26));
$carry8 = $h8->addInt(1 << 25)->shiftRight(26);
$h9 = $h9->addInt32($carry8);
$h8 = $h8->subInt32($carry8->shiftLeft(26));
return ParagonIE_Sodium_Core32_Curve25519_Fe::fromArray(
array($h0, $h1, $h2,$h3, $h4, $h5, $h6, $h7, $h8, $h9)
);
}
/**
* Convert a field element to a byte string.
*
* @internal You should not use this directly from another application
*
* @param ParagonIE_Sodium_Core32_Curve25519_Fe $h
* @return string
* @throws SodiumException
* @throws TypeError
* @psalm-suppress MixedAssignment
* @psalm-suppress MixedMethodCall
*/
public static function fe_tobytes(ParagonIE_Sodium_Core32_Curve25519_Fe $h)
{
/**
* @var ParagonIE_Sodium_Core32_Int64[] $f
* @var ParagonIE_Sodium_Core32_Int64 $q
*/
$f = array();
for ($i = 0; $i < 10; ++$i) {
$f[$i] = $h[$i]->toInt64();
}
$q = $f[9]->mulInt(19, 5)->addInt(1 << 14)->shiftRight(25)
->addInt64($f[0])->shiftRight(26)
->addInt64($f[1])->shiftRight(25)
->addInt64($f[2])->shiftRight(26)
->addInt64($f[3])->shiftRight(25)
->addInt64($f[4])->shiftRight(26)
->addInt64($f[5])->shiftRight(25)
->addInt64($f[6])->shiftRight(26)
->addInt64($f[7])->shiftRight(25)
->addInt64($f[8])->shiftRight(26)
->addInt64($f[9])->shiftRight(25);
$f[0] = $f[0]->addInt64($q->mulInt(19, 5));
$carry0 = $f[0]->shiftRight(26);
$f[1] = $f[1]->addInt64($carry0);
$f[0] = $f[0]->subInt64($carry0->shiftLeft(26));
$carry1 = $f[1]->shiftRight(25);
$f[2] = $f[2]->addInt64($carry1);
$f[1] = $f[1]->subInt64($carry1->shiftLeft(25));
$carry2 = $f[2]->shiftRight(26);
$f[3] = $f[3]->addInt64($carry2);
$f[2] = $f[2]->subInt64($carry2->shiftLeft(26));
$carry3 = $f[3]->shiftRight(25);
$f[4] = $f[4]->addInt64($carry3);
$f[3] = $f[3]->subInt64($carry3->shiftLeft(25));
$carry4 = $f[4]->shiftRight(26);
$f[5] = $f[5]->addInt64($carry4);
$f[4] = $f[4]->subInt64($carry4->shiftLeft(26));
$carry5 = $f[5]->shiftRight(25);
$f[6] = $f[6]->addInt64($carry5);
$f[5] = $f[5]->subInt64($carry5->shiftLeft(25));
$carry6 = $f[6]->shiftRight(26);
$f[7] = $f[7]->addInt64($carry6);
$f[6] = $f[6]->subInt64($carry6->shiftLeft(26));
$carry7 = $f[7]->shiftRight(25);
$f[8] = $f[8]->addInt64($carry7);
$f[7] = $f[7]->subInt64($carry7->shiftLeft(25));
$carry8 = $f[8]->shiftRight(26);
$f[9] = $f[9]->addInt64($carry8);
$f[8] = $f[8]->subInt64($carry8->shiftLeft(26));
$carry9 = $f[9]->shiftRight(25);
$f[9] = $f[9]->subInt64($carry9->shiftLeft(25));
$h0 = $f[0]->toInt32()->toInt();
$h1 = $f[1]->toInt32()->toInt();
$h2 = $f[2]->toInt32()->toInt();
$h3 = $f[3]->toInt32()->toInt();
$h4 = $f[4]->toInt32()->toInt();
$h5 = $f[5]->toInt32()->toInt();
$h6 = $f[6]->toInt32()->toInt();
$h7 = $f[7]->toInt32()->toInt();
$h8 = $f[8]->toInt32()->toInt();
$h9 = $f[9]->toInt32()->toInt();
/**
* @var array<int, int>
*/
$s = array(
(int) (($h0 >> 0) & 0xff),
(int) (($h0 >> 8) & 0xff),
(int) (($h0 >> 16) & 0xff),
(int) ((($h0 >> 24) | ($h1 << 2)) & 0xff),
(int) (($h1 >> 6) & 0xff),
(int) (($h1 >> 14) & 0xff),
(int) ((($h1 >> 22) | ($h2 << 3)) & 0xff),
(int) (($h2 >> 5) & 0xff),
(int) (($h2 >> 13) & 0xff),
(int) ((($h2 >> 21) | ($h3 << 5)) & 0xff),
(int) (($h3 >> 3) & 0xff),
(int) (($h3 >> 11) & 0xff),
(int) ((($h3 >> 19) | ($h4 << 6)) & 0xff),
(int) (($h4 >> 2) & 0xff),
(int) (($h4 >> 10) & 0xff),
(int) (($h4 >> 18) & 0xff),
(int) (($h5 >> 0) & 0xff),
(int) (($h5 >> 8) & 0xff),
(int) (($h5 >> 16) & 0xff),
(int) ((($h5 >> 24) | ($h6 << 1)) & 0xff),
(int) (($h6 >> 7) & 0xff),
(int) (($h6 >> 15) & 0xff),
(int) ((($h6 >> 23) | ($h7 << 3)) & 0xff),
(int) (($h7 >> 5) & 0xff),
(int) (($h7 >> 13) & 0xff),
(int) ((($h7 >> 21) | ($h8 << 4)) & 0xff),
(int) (($h8 >> 4) & 0xff),
(int) (($h8 >> 12) & 0xff),
(int) ((($h8 >> 20) | ($h9 << 6)) & 0xff),
(int) (($h9 >> 2) & 0xff),
(int) (($h9 >> 10) & 0xff),
(int) (($h9 >> 18) & 0xff)
);
return self::intArrayToString($s);
}
/**
* Is a field element negative? (1 = yes, 0 = no. Used in calculations.)
*
* @internal You should not use this directly from another application
*
* @param ParagonIE_Sodium_Core32_Curve25519_Fe $f
* @return int
* @throws SodiumException
* @throws TypeError
*/
public static function fe_isnegative(ParagonIE_Sodium_Core32_Curve25519_Fe $f)
{
$str = self::fe_tobytes($f);
return (int) (self::chrToInt($str[0]) & 1);
}
/**
* Returns 0 if this field element results in all NUL bytes.
*
* @internal You should not use this directly from another application
*
* @param ParagonIE_Sodium_Core32_Curve25519_Fe $f
* @return bool
* @throws SodiumException
* @throws TypeError
*/
public static function fe_isnonzero(ParagonIE_Sodium_Core32_Curve25519_Fe $f)
{
static $zero;
if ($zero === null) {
$zero = str_repeat("\x00", 32);
}
$str = self::fe_tobytes($f);
/** @var string $zero */
return !self::verify_32($str, $zero);
}
/**
* Multiply two field elements
*
* h = f * g
*
* @internal You should not use this directly from another application
*
* @security Is multiplication a source of timing leaks? If so, can we do
* anything to prevent that from happening?
*
* @param ParagonIE_Sodium_Core32_Curve25519_Fe $f
* @param ParagonIE_Sodium_Core32_Curve25519_Fe $g
* @return ParagonIE_Sodium_Core32_Curve25519_Fe
* @throws SodiumException
* @throws TypeError
*/
public static function fe_mul(
ParagonIE_Sodium_Core32_Curve25519_Fe $f,
ParagonIE_Sodium_Core32_Curve25519_Fe $g
) {
/**
* @var ParagonIE_Sodium_Core32_Int32[] $f
* @var ParagonIE_Sodium_Core32_Int32[] $g
* @var ParagonIE_Sodium_Core32_Int64 $f0
* @var ParagonIE_Sodium_Core32_Int64 $f1
* @var ParagonIE_Sodium_Core32_Int64 $f2
* @var ParagonIE_Sodium_Core32_Int64 $f3
* @var ParagonIE_Sodium_Core32_Int64 $f4
* @var ParagonIE_Sodium_Core32_Int64 $f5
* @var ParagonIE_Sodium_Core32_Int64 $f6
* @var ParagonIE_Sodium_Core32_Int64 $f7
* @var ParagonIE_Sodium_Core32_Int64 $f8
* @var ParagonIE_Sodium_Core32_Int64 $f9
* @var ParagonIE_Sodium_Core32_Int64 $g0
* @var ParagonIE_Sodium_Core32_Int64 $g1
* @var ParagonIE_Sodium_Core32_Int64 $g2
* @var ParagonIE_Sodium_Core32_Int64 $g3
* @var ParagonIE_Sodium_Core32_Int64 $g4
* @var ParagonIE_Sodium_Core32_Int64 $g5
* @var ParagonIE_Sodium_Core32_Int64 $g6
* @var ParagonIE_Sodium_Core32_Int64 $g7
* @var ParagonIE_Sodium_Core32_Int64 $g8
* @var ParagonIE_Sodium_Core32_Int64 $g9
*/
$f0 = $f[0]->toInt64();
$f1 = $f[1]->toInt64();
$f2 = $f[2]->toInt64();
$f3 = $f[3]->toInt64();
$f4 = $f[4]->toInt64();
$f5 = $f[5]->toInt64();
$f6 = $f[6]->toInt64();
$f7 = $f[7]->toInt64();
$f8 = $f[8]->toInt64();
$f9 = $f[9]->toInt64();
$g0 = $g[0]->toInt64();
$g1 = $g[1]->toInt64();
$g2 = $g[2]->toInt64();
$g3 = $g[3]->toInt64();
$g4 = $g[4]->toInt64();
$g5 = $g[5]->toInt64();
$g6 = $g[6]->toInt64();
$g7 = $g[7]->toInt64();
$g8 = $g[8]->toInt64();
$g9 = $g[9]->toInt64();
$g1_19 = $g1->mulInt(19, 5); /* 2^4 <= 19 <= 2^5, but we only want 5 bits */
$g2_19 = $g2->mulInt(19, 5);
$g3_19 = $g3->mulInt(19, 5);
$g4_19 = $g4->mulInt(19, 5);
$g5_19 = $g5->mulInt(19, 5);
$g6_19 = $g6->mulInt(19, 5);
$g7_19 = $g7->mulInt(19, 5);
$g8_19 = $g8->mulInt(19, 5);
$g9_19 = $g9->mulInt(19, 5);
$f1_2 = $f1->shiftLeft(1);
$f3_2 = $f3->shiftLeft(1);
$f5_2 = $f5->shiftLeft(1);
$f7_2 = $f7->shiftLeft(1);
$f9_2 = $f9->shiftLeft(1);
$f0g0 = $f0->mulInt64($g0, 27);
$f0g1 = $f0->mulInt64($g1, 27);
$f0g2 = $f0->mulInt64($g2, 27);
$f0g3 = $f0->mulInt64($g3, 27);
$f0g4 = $f0->mulInt64($g4, 27);
$f0g5 = $f0->mulInt64($g5, 27);
$f0g6 = $f0->mulInt64($g6, 27);
$f0g7 = $f0->mulInt64($g7, 27);
$f0g8 = $f0->mulInt64($g8, 27);
$f0g9 = $f0->mulInt64($g9, 27);
$f1g0 = $f1->mulInt64($g0, 27);
$f1g1_2 = $f1_2->mulInt64($g1, 27);
$f1g2 = $f1->mulInt64($g2, 27);
$f1g3_2 = $f1_2->mulInt64($g3, 27);
$f1g4 = $f1->mulInt64($g4, 30);
$f1g5_2 = $f1_2->mulInt64($g5, 30);
$f1g6 = $f1->mulInt64($g6, 30);
$f1g7_2 = $f1_2->mulInt64($g7, 30);
$f1g8 = $f1->mulInt64($g8, 30);
$f1g9_38 = $g9_19->mulInt64($f1_2, 30);
$f2g0 = $f2->mulInt64($g0, 30);
$f2g1 = $f2->mulInt64($g1, 29);
$f2g2 = $f2->mulInt64($g2, 30);
$f2g3 = $f2->mulInt64($g3, 29);
$f2g4 = $f2->mulInt64($g4, 30);
$f2g5 = $f2->mulInt64($g5, 29);
$f2g6 = $f2->mulInt64($g6, 30);
$f2g7 = $f2->mulInt64($g7, 29);
$f2g8_19 = $g8_19->mulInt64($f2, 30);
$f2g9_19 = $g9_19->mulInt64($f2, 30);
$f3g0 = $f3->mulInt64($g0, 30);
$f3g1_2 = $f3_2->mulInt64($g1, 30);
$f3g2 = $f3->mulInt64($g2, 30);
$f3g3_2 = $f3_2->mulInt64($g3, 30);
$f3g4 = $f3->mulInt64($g4, 30);
$f3g5_2 = $f3_2->mulInt64($g5, 30);
$f3g6 = $f3->mulInt64($g6, 30);
$f3g7_38 = $g7_19->mulInt64($f3_2, 30);
$f3g8_19 = $g8_19->mulInt64($f3, 30);
$f3g9_38 = $g9_19->mulInt64($f3_2, 30);
$f4g0 = $f4->mulInt64($g0, 30);
$f4g1 = $f4->mulInt64($g1, 30);
$f4g2 = $f4->mulInt64($g2, 30);
$f4g3 = $f4->mulInt64($g3, 30);
$f4g4 = $f4->mulInt64($g4, 30);
$f4g5 = $f4->mulInt64($g5, 30);
$f4g6_19 = $g6_19->mulInt64($f4, 30);
$f4g7_19 = $g7_19->mulInt64($f4, 30);
$f4g8_19 = $g8_19->mulInt64($f4, 30);
$f4g9_19 = $g9_19->mulInt64($f4, 30);
$f5g0 = $f5->mulInt64($g0, 30);
$f5g1_2 = $f5_2->mulInt64($g1, 30);
$f5g2 = $f5->mulInt64($g2, 30);
$f5g3_2 = $f5_2->mulInt64($g3, 30);
$f5g4 = $f5->mulInt64($g4, 30);
$f5g5_38 = $g5_19->mulInt64($f5_2, 30);
$f5g6_19 = $g6_19->mulInt64($f5, 30);
$f5g7_38 = $g7_19->mulInt64($f5_2, 30);
$f5g8_19 = $g8_19->mulInt64($f5, 30);
$f5g9_38 = $g9_19->mulInt64($f5_2, 30);
$f6g0 = $f6->mulInt64($g0, 30);
$f6g1 = $f6->mulInt64($g1, 30);
$f6g2 = $f6->mulInt64($g2, 30);
$f6g3 = $f6->mulInt64($g3, 30);
$f6g4_19 = $g4_19->mulInt64($f6, 30);
$f6g5_19 = $g5_19->mulInt64($f6, 30);
$f6g6_19 = $g6_19->mulInt64($f6, 30);
$f6g7_19 = $g7_19->mulInt64($f6, 30);
$f6g8_19 = $g8_19->mulInt64($f6, 30);
$f6g9_19 = $g9_19->mulInt64($f6, 30);
$f7g0 = $f7->mulInt64($g0, 30);
$f7g1_2 = $g1->mulInt64($f7_2, 30);
$f7g2 = $f7->mulInt64($g2, 30);
$f7g3_38 = $g3_19->mulInt64($f7_2, 30);
$f7g4_19 = $g4_19->mulInt64($f7, 30);
$f7g5_38 = $g5_19->mulInt64($f7_2, 30);
$f7g6_19 = $g6_19->mulInt64($f7, 30);
$f7g7_38 = $g7_19->mulInt64($f7_2, 30);
$f7g8_19 = $g8_19->mulInt64($f7, 30);
$f7g9_38 = $g9_19->mulInt64($f7_2, 30);
$f8g0 = $f8->mulInt64($g0, 30);
$f8g1 = $f8->mulInt64($g1, 29);
$f8g2_19 = $g2_19->mulInt64($f8, 30);
$f8g3_19 = $g3_19->mulInt64($f8, 30);
$f8g4_19 = $g4_19->mulInt64($f8, 30);
$f8g5_19 = $g5_19->mulInt64($f8, 30);
$f8g6_19 = $g6_19->mulInt64($f8, 30);
$f8g7_19 = $g7_19->mulInt64($f8, 30);
$f8g8_19 = $g8_19->mulInt64($f8, 30);
$f8g9_19 = $g9_19->mulInt64($f8, 30);
$f9g0 = $f9->mulInt64($g0, 30);
$f9g1_38 = $g1_19->mulInt64($f9_2, 30);
$f9g2_19 = $g2_19->mulInt64($f9, 30);
$f9g3_38 = $g3_19->mulInt64($f9_2, 30);
$f9g4_19 = $g4_19->mulInt64($f9, 30);
$f9g5_38 = $g5_19->mulInt64($f9_2, 30);
$f9g6_19 = $g6_19->mulInt64($f9, 30);
$f9g7_38 = $g7_19->mulInt64($f9_2, 30);
$f9g8_19 = $g8_19->mulInt64($f9, 30);
$f9g9_38 = $g9_19->mulInt64($f9_2, 30);
// $h0 = $f0g0 + $f1g9_38 + $f2g8_19 + $f3g7_38 + $f4g6_19 + $f5g5_38 + $f6g4_19 + $f7g3_38 + $f8g2_19 + $f9g1_38;
$h0 = $f0g0->addInt64($f1g9_38)->addInt64($f2g8_19)->addInt64($f3g7_38)
->addInt64($f4g6_19)->addInt64($f5g5_38)->addInt64($f6g4_19)
->addInt64($f7g3_38)->addInt64($f8g2_19)->addInt64($f9g1_38);
// $h1 = $f0g1 + $f1g0 + $f2g9_19 + $f3g8_19 + $f4g7_19 + $f5g6_19 + $f6g5_19 + $f7g4_19 + $f8g3_19 + $f9g2_19;
$h1 = $f0g1->addInt64($f1g0)->addInt64($f2g9_19)->addInt64($f3g8_19)
->addInt64($f4g7_19)->addInt64($f5g6_19)->addInt64($f6g5_19)
->addInt64($f7g4_19)->addInt64($f8g3_19)->addInt64($f9g2_19);
// $h2 = $f0g2 + $f1g1_2 + $f2g0 + $f3g9_38 + $f4g8_19 + $f5g7_38 + $f6g6_19 + $f7g5_38 + $f8g4_19 + $f9g3_38;
$h2 = $f0g2->addInt64($f1g1_2)->addInt64($f2g0)->addInt64($f3g9_38)
->addInt64($f4g8_19)->addInt64($f5g7_38)->addInt64($f6g6_19)
->addInt64($f7g5_38)->addInt64($f8g4_19)->addInt64($f9g3_38);
// $h3 = $f0g3 + $f1g2 + $f2g1 + $f3g0 + $f4g9_19 + $f5g8_19 + $f6g7_19 + $f7g6_19 + $f8g5_19 + $f9g4_19;
$h3 = $f0g3->addInt64($f1g2)->addInt64($f2g1)->addInt64($f3g0)
->addInt64($f4g9_19)->addInt64($f5g8_19)->addInt64($f6g7_19)
->addInt64($f7g6_19)->addInt64($f8g5_19)->addInt64($f9g4_19);
// $h4 = $f0g4 + $f1g3_2 + $f2g2 + $f3g1_2 + $f4g0 + $f5g9_38 + $f6g8_19 + $f7g7_38 + $f8g6_19 + $f9g5_38;
$h4 = $f0g4->addInt64($f1g3_2)->addInt64($f2g2)->addInt64($f3g1_2)
->addInt64($f4g0)->addInt64($f5g9_38)->addInt64($f6g8_19)
->addInt64($f7g7_38)->addInt64($f8g6_19)->addInt64($f9g5_38);
// $h5 = $f0g5 + $f1g4 + $f2g3 + $f3g2 + $f4g1 + $f5g0 + $f6g9_19 + $f7g8_19 + $f8g7_19 + $f9g6_19;
$h5 = $f0g5->addInt64($f1g4)->addInt64($f2g3)->addInt64($f3g2)
->addInt64($f4g1)->addInt64($f5g0)->addInt64($f6g9_19)
->addInt64($f7g8_19)->addInt64($f8g7_19)->addInt64($f9g6_19);
// $h6 = $f0g6 + $f1g5_2 + $f2g4 + $f3g3_2 + $f4g2 + $f5g1_2 + $f6g0 + $f7g9_38 + $f8g8_19 + $f9g7_38;
$h6 = $f0g6->addInt64($f1g5_2)->addInt64($f2g4)->addInt64($f3g3_2)
->addInt64($f4g2)->addInt64($f5g1_2)->addInt64($f6g0)
->addInt64($f7g9_38)->addInt64($f8g8_19)->addInt64($f9g7_38);
// $h7 = $f0g7 + $f1g6 + $f2g5 + $f3g4 + $f4g3 + $f5g2 + $f6g1 + $f7g0 + $f8g9_19 + $f9g8_19;
$h7 = $f0g7->addInt64($f1g6)->addInt64($f2g5)->addInt64($f3g4)
->addInt64($f4g3)->addInt64($f5g2)->addInt64($f6g1)
->addInt64($f7g0)->addInt64($f8g9_19)->addInt64($f9g8_19);
// $h8 = $f0g8 + $f1g7_2 + $f2g6 + $f3g5_2 + $f4g4 + $f5g3_2 + $f6g2 + $f7g1_2 + $f8g0 + $f9g9_38;
$h8 = $f0g8->addInt64($f1g7_2)->addInt64($f2g6)->addInt64($f3g5_2)
->addInt64($f4g4)->addInt64($f5g3_2)->addInt64($f6g2)
->addInt64($f7g1_2)->addInt64($f8g0)->addInt64($f9g9_38);
// $h9 = $f0g9 + $f1g8 + $f2g7 + $f3g6 + $f4g5 + $f5g4 + $f6g3 + $f7g2 + $f8g1 + $f9g0 ;
$h9 = $f0g9->addInt64($f1g8)->addInt64($f2g7)->addInt64($f3g6)
->addInt64($f4g5)->addInt64($f5g4)->addInt64($f6g3)
->addInt64($f7g2)->addInt64($f8g1)->addInt64($f9g0);
/**
* @var ParagonIE_Sodium_Core32_Int64 $h0
* @var ParagonIE_Sodium_Core32_Int64 $h1
* @var ParagonIE_Sodium_Core32_Int64 $h2
* @var ParagonIE_Sodium_Core32_Int64 $h3
* @var ParagonIE_Sodium_Core32_Int64 $h4
* @var ParagonIE_Sodium_Core32_Int64 $h5
* @var ParagonIE_Sodium_Core32_Int64 $h6
* @var ParagonIE_Sodium_Core32_Int64 $h7
* @var ParagonIE_Sodium_Core32_Int64 $h8
* @var ParagonIE_Sodium_Core32_Int64 $h9
* @var ParagonIE_Sodium_Core32_Int64 $carry0
* @var ParagonIE_Sodium_Core32_Int64 $carry1
* @var ParagonIE_Sodium_Core32_Int64 $carry2
* @var ParagonIE_Sodium_Core32_Int64 $carry3
* @var ParagonIE_Sodium_Core32_Int64 $carry4
* @var ParagonIE_Sodium_Core32_Int64 $carry5
* @var ParagonIE_Sodium_Core32_Int64 $carry6
* @var ParagonIE_Sodium_Core32_Int64 $carry7
* @var ParagonIE_Sodium_Core32_Int64 $carry8
* @var ParagonIE_Sodium_Core32_Int64 $carry9
*/
$carry0 = $h0->addInt(1 << 25)->shiftRight(26);
$h1 = $h1->addInt64($carry0);
$h0 = $h0->subInt64($carry0->shiftLeft(26));
$carry4 = $h4->addInt(1 << 25)->shiftRight(26);
$h5 = $h5->addInt64($carry4);
$h4 = $h4->subInt64($carry4->shiftLeft(26));
$carry1 = $h1->addInt(1 << 24)->shiftRight(25);
$h2 = $h2->addInt64($carry1);
$h1 = $h1->subInt64($carry1->shiftLeft(25));
$carry5 = $h5->addInt(1 << 24)->shiftRight(25);
$h6 = $h6->addInt64($carry5);
$h5 = $h5->subInt64($carry5->shiftLeft(25));
$carry2 = $h2->addInt(1 << 25)->shiftRight(26);
$h3 = $h3->addInt64($carry2);
$h2 = $h2->subInt64($carry2->shiftLeft(26));
$carry6 = $h6->addInt(1 << 25)->shiftRight(26);
$h7 = $h7->addInt64($carry6);
$h6 = $h6->subInt64($carry6->shiftLeft(26));
$carry3 = $h3->addInt(1 << 24)->shiftRight(25);
$h4 = $h4->addInt64($carry3);
$h3 = $h3->subInt64($carry3->shiftLeft(25));
$carry7 = $h7->addInt(1 << 24)->shiftRight(25);
$h8 = $h8->addInt64($carry7);
$h7 = $h7->subInt64($carry7->shiftLeft(25));
$carry4 = $h4->addInt(1 << 25)->shiftRight(26);
$h5 = $h5->addInt64($carry4);
$h4 = $h4->subInt64($carry4->shiftLeft(26));
$carry8 = $h8->addInt(1 << 25)->shiftRight(26);
$h9 = $h9->addInt64($carry8);
$h8 = $h8->subInt64($carry8->shiftLeft(26));
$carry9 = $h9->addInt(1 << 24)->shiftRight(25);
$h0 = $h0->addInt64($carry9->mulInt(19, 5));
$h9 = $h9->subInt64($carry9->shiftLeft(25));
$carry0 = $h0->addInt(1 << 25)->shiftRight(26);
$h1 = $h1->addInt64($carry0);
$h0 = $h0->subInt64($carry0->shiftLeft(26));
return ParagonIE_Sodium_Core32_Curve25519_Fe::fromArray(
array(
$h0->toInt32(),
$h1->toInt32(),
$h2->toInt32(),
$h3->toInt32(),
$h4->toInt32(),
$h5->toInt32(),
$h6->toInt32(),
$h7->toInt32(),
$h8->toInt32(),
$h9->toInt32()
)
);
}
/**
* Get the negative values for each piece of the field element.
*
* h = -f
*
* @internal You should not use this directly from another application
*
* @param ParagonIE_Sodium_Core32_Curve25519_Fe $f
* @return ParagonIE_Sodium_Core32_Curve25519_Fe
* @psalm-suppress MixedAssignment
* @psalm-suppress MixedMethodCall
*/
public static function fe_neg(ParagonIE_Sodium_Core32_Curve25519_Fe $f)
{
$h = new ParagonIE_Sodium_Core32_Curve25519_Fe();
for ($i = 0; $i < 10; ++$i) {
$h[$i] = $h[$i]->subInt32($f[$i]);
}
return $h;
}
/**
* Square a field element
*
* h = f * f
*
* @internal You should not use this directly from another application
*
* @param ParagonIE_Sodium_Core32_Curve25519_Fe $f
* @return ParagonIE_Sodium_Core32_Curve25519_Fe
* @throws SodiumException
* @throws TypeError
* @psalm-suppress MixedMethodCall
*/
public static function fe_sq(ParagonIE_Sodium_Core32_Curve25519_Fe $f)
{
$f0 = $f[0]->toInt64();
$f1 = $f[1]->toInt64();
$f2 = $f[2]->toInt64();
$f3 = $f[3]->toInt64();
$f4 = $f[4]->toInt64();
$f5 = $f[5]->toInt64();
$f6 = $f[6]->toInt64();
$f7 = $f[7]->toInt64();
$f8 = $f[8]->toInt64();
$f9 = $f[9]->toInt64();
$f0_2 = $f0->shiftLeft(1);
$f1_2 = $f1->shiftLeft(1);
$f2_2 = $f2->shiftLeft(1);
$f3_2 = $f3->shiftLeft(1);
$f4_2 = $f4->shiftLeft(1);
$f5_2 = $f5->shiftLeft(1);
$f6_2 = $f6->shiftLeft(1);
$f7_2 = $f7->shiftLeft(1);
$f5_38 = $f5->mulInt(38, 6);
$f6_19 = $f6->mulInt(19, 5);
$f7_38 = $f7->mulInt(38, 6);
$f8_19 = $f8->mulInt(19, 5);
$f9_38 = $f9->mulInt(38, 6);
$f0f0 = $f0->mulInt64($f0, 28);
$f0f1_2 = $f0_2->mulInt64($f1, 28);
$f0f2_2 = $f0_2->mulInt64($f2, 28);
$f0f3_2 = $f0_2->mulInt64($f3, 28);
$f0f4_2 = $f0_2->mulInt64($f4, 28);
$f0f5_2 = $f0_2->mulInt64($f5, 28);
$f0f6_2 = $f0_2->mulInt64($f6, 28);
$f0f7_2 = $f0_2->mulInt64($f7, 28);
$f0f8_2 = $f0_2->mulInt64($f8, 28);
$f0f9_2 = $f0_2->mulInt64($f9, 28);
$f1f1_2 = $f1_2->mulInt64($f1, 28);
$f1f2_2 = $f1_2->mulInt64($f2, 28);
$f1f3_4 = $f1_2->mulInt64($f3_2, 28);
$f1f4_2 = $f1_2->mulInt64($f4, 28);
$f1f5_4 = $f1_2->mulInt64($f5_2, 30);
$f1f6_2 = $f1_2->mulInt64($f6, 28);
$f1f7_4 = $f1_2->mulInt64($f7_2, 28);
$f1f8_2 = $f1_2->mulInt64($f8, 28);
$f1f9_76 = $f9_38->mulInt64($f1_2, 30);
$f2f2 = $f2->mulInt64($f2, 28);
$f2f3_2 = $f2_2->mulInt64($f3, 28);
$f2f4_2 = $f2_2->mulInt64($f4, 28);
$f2f5_2 = $f2_2->mulInt64($f5, 28);
$f2f6_2 = $f2_2->mulInt64($f6, 28);
$f2f7_2 = $f2_2->mulInt64($f7, 28);
$f2f8_38 = $f8_19->mulInt64($f2_2, 30);
$f2f9_38 = $f9_38->mulInt64($f2, 30);
$f3f3_2 = $f3_2->mulInt64($f3, 28);
$f3f4_2 = $f3_2->mulInt64($f4, 28);
$f3f5_4 = $f3_2->mulInt64($f5_2, 30);
$f3f6_2 = $f3_2->mulInt64($f6, 28);
$f3f7_76 = $f7_38->mulInt64($f3_2, 30);
$f3f8_38 = $f8_19->mulInt64($f3_2, 30);
$f3f9_76 = $f9_38->mulInt64($f3_2, 30);
$f4f4 = $f4->mulInt64($f4, 28);
$f4f5_2 = $f4_2->mulInt64($f5, 28);
$f4f6_38 = $f6_19->mulInt64($f4_2, 30);
$f4f7_38 = $f7_38->mulInt64($f4, 30);
$f4f8_38 = $f8_19->mulInt64($f4_2, 30);
$f4f9_38 = $f9_38->mulInt64($f4, 30);
$f5f5_38 = $f5_38->mulInt64($f5, 30);
$f5f6_38 = $f6_19->mulInt64($f5_2, 30);
$f5f7_76 = $f7_38->mulInt64($f5_2, 30);
$f5f8_38 = $f8_19->mulInt64($f5_2, 30);
$f5f9_76 = $f9_38->mulInt64($f5_2, 30);
$f6f6_19 = $f6_19->mulInt64($f6, 30);
$f6f7_38 = $f7_38->mulInt64($f6, 30);
$f6f8_38 = $f8_19->mulInt64($f6_2, 30);
$f6f9_38 = $f9_38->mulInt64($f6, 30);
$f7f7_38 = $f7_38->mulInt64($f7, 28);
$f7f8_38 = $f8_19->mulInt64($f7_2, 30);
$f7f9_76 = $f9_38->mulInt64($f7_2, 30);
$f8f8_19 = $f8_19->mulInt64($f8, 30);
$f8f9_38 = $f9_38->mulInt64($f8, 30);
$f9f9_38 = $f9_38->mulInt64($f9, 28);
$h0 = $f0f0->addInt64($f1f9_76)->addInt64($f2f8_38)->addInt64($f3f7_76)->addInt64($f4f6_38)->addInt64($f5f5_38);
$h1 = $f0f1_2->addInt64($f2f9_38)->addInt64($f3f8_38)->addInt64($f4f7_38)->addInt64($f5f6_38);
$h2 = $f0f2_2->addInt64($f1f1_2)->addInt64($f3f9_76)->addInt64($f4f8_38)->addInt64($f5f7_76)->addInt64($f6f6_19);
$h3 = $f0f3_2->addInt64($f1f2_2)->addInt64($f4f9_38)->addInt64($f5f8_38)->addInt64($f6f7_38);
$h4 = $f0f4_2->addInt64($f1f3_4)->addInt64($f2f2)->addInt64($f5f9_76)->addInt64($f6f8_38)->addInt64($f7f7_38);
$h5 = $f0f5_2->addInt64($f1f4_2)->addInt64($f2f3_2)->addInt64($f6f9_38)->addInt64($f7f8_38);
$h6 = $f0f6_2->addInt64($f1f5_4)->addInt64($f2f4_2)->addInt64($f3f3_2)->addInt64($f7f9_76)->addInt64($f8f8_19);
$h7 = $f0f7_2->addInt64($f1f6_2)->addInt64($f2f5_2)->addInt64($f3f4_2)->addInt64($f8f9_38);
$h8 = $f0f8_2->addInt64($f1f7_4)->addInt64($f2f6_2)->addInt64($f3f5_4)->addInt64($f4f4)->addInt64($f9f9_38);
$h9 = $f0f9_2->addInt64($f1f8_2)->addInt64($f2f7_2)->addInt64($f3f6_2)->addInt64($f4f5_2);
/**
* @var ParagonIE_Sodium_Core32_Int64 $h0
* @var ParagonIE_Sodium_Core32_Int64 $h1
* @var ParagonIE_Sodium_Core32_Int64 $h2
* @var ParagonIE_Sodium_Core32_Int64 $h3
* @var ParagonIE_Sodium_Core32_Int64 $h4
* @var ParagonIE_Sodium_Core32_Int64 $h5
* @var ParagonIE_Sodium_Core32_Int64 $h6
* @var ParagonIE_Sodium_Core32_Int64 $h7
* @var ParagonIE_Sodium_Core32_Int64 $h8
* @var ParagonIE_Sodium_Core32_Int64 $h9
*/
$carry0 = $h0->addInt(1 << 25)->shiftRight(26);
$h1 = $h1->addInt64($carry0);
$h0 = $h0->subInt64($carry0->shiftLeft(26));
$carry4 = $h4->addInt(1 << 25)->shiftRight(26);
$h5 = $h5->addInt64($carry4);
$h4 = $h4->subInt64($carry4->shiftLeft(26));
$carry1 = $h1->addInt(1 << 24)->shiftRight(25);
$h2 = $h2->addInt64($carry1);
$h1 = $h1->subInt64($carry1->shiftLeft(25));
$carry5 = $h5->addInt(1 << 24)->shiftRight(25);
$h6 = $h6->addInt64($carry5);
$h5 = $h5->subInt64($carry5->shiftLeft(25));
$carry2 = $h2->addInt(1 << 25)->shiftRight(26);
$h3 = $h3->addInt64($carry2);
$h2 = $h2->subInt64($carry2->shiftLeft(26));
$carry6 = $h6->addInt(1 << 25)->shiftRight(26);
$h7 = $h7->addInt64($carry6);
$h6 = $h6->subInt64($carry6->shiftLeft(26));
$carry3 = $h3->addInt(1 << 24)->shiftRight(25);
$h4 = $h4->addInt64($carry3);
$h3 = $h3->subInt64($carry3->shiftLeft(25));
$carry7 = $h7->addInt(1 << 24)->shiftRight(25);
$h8 = $h8->addInt64($carry7);
$h7 = $h7->subInt64($carry7->shiftLeft(25));
$carry4 = $h4->addInt(1 << 25)->shiftRight(26);
$h5 = $h5->addInt64($carry4);
$h4 = $h4->subInt64($carry4->shiftLeft(26));
$carry8 = $h8->addInt(1 << 25)->shiftRight(26);
$h9 = $h9->addInt64($carry8);
$h8 = $h8->subInt64($carry8->shiftLeft(26));
$carry9 = $h9->addInt(1 << 24)->shiftRight(25);
$h0 = $h0->addInt64($carry9->mulInt(19, 5));
$h9 = $h9->subInt64($carry9->shiftLeft(25));
$carry0 = $h0->addInt(1 << 25)->shiftRight(26);
$h1 = $h1->addInt64($carry0);
$h0 = $h0->subInt64($carry0->shiftLeft(26));
return ParagonIE_Sodium_Core32_Curve25519_Fe::fromArray(
array(
$h0->toInt32(),
$h1->toInt32(),
$h2->toInt32(),
$h3->toInt32(),
$h4->toInt32(),
$h5->toInt32(),
$h6->toInt32(),
$h7->toInt32(),
$h8->toInt32(),
$h9->toInt32()
)
);
}
/**
* Square and double a field element
*
* h = 2 * f * f
*
* @internal You should not use this directly from another application
*
* @param ParagonIE_Sodium_Core32_Curve25519_Fe $f
* @return ParagonIE_Sodium_Core32_Curve25519_Fe
* @throws SodiumException
* @throws TypeError
* @psalm-suppress MixedMethodCall
*/
public static function fe_sq2(ParagonIE_Sodium_Core32_Curve25519_Fe $f)
{
$f0 = $f[0]->toInt64();
$f1 = $f[1]->toInt64();
$f2 = $f[2]->toInt64();
$f3 = $f[3]->toInt64();
$f4 = $f[4]->toInt64();
$f5 = $f[5]->toInt64();
$f6 = $f[6]->toInt64();
$f7 = $f[7]->toInt64();
$f8 = $f[8]->toInt64();
$f9 = $f[9]->toInt64();
$f0_2 = $f0->shiftLeft(1);
$f1_2 = $f1->shiftLeft(1);
$f2_2 = $f2->shiftLeft(1);
$f3_2 = $f3->shiftLeft(1);
$f4_2 = $f4->shiftLeft(1);
$f5_2 = $f5->shiftLeft(1);
$f6_2 = $f6->shiftLeft(1);
$f7_2 = $f7->shiftLeft(1);
$f5_38 = $f5->mulInt(38, 6); /* 1.959375*2^30 */
$f6_19 = $f6->mulInt(19, 5); /* 1.959375*2^30 */
$f7_38 = $f7->mulInt(38, 6); /* 1.959375*2^30 */
$f8_19 = $f8->mulInt(19, 5); /* 1.959375*2^30 */
$f9_38 = $f9->mulInt(38, 6); /* 1.959375*2^30 */
$f0f0 = $f0->mulInt64($f0, 28);
$f0f1_2 = $f0_2->mulInt64($f1, 28);
$f0f2_2 = $f0_2->mulInt64($f2, 28);
$f0f3_2 = $f0_2->mulInt64($f3, 28);
$f0f4_2 = $f0_2->mulInt64($f4, 28);
$f0f5_2 = $f0_2->mulInt64($f5, 28);
$f0f6_2 = $f0_2->mulInt64($f6, 28);
$f0f7_2 = $f0_2->mulInt64($f7, 28);
$f0f8_2 = $f0_2->mulInt64($f8, 28);
$f0f9_2 = $f0_2->mulInt64($f9, 28);
$f1f1_2 = $f1_2->mulInt64($f1, 28);
$f1f2_2 = $f1_2->mulInt64($f2, 28);
$f1f3_4 = $f1_2->mulInt64($f3_2, 29);
$f1f4_2 = $f1_2->mulInt64($f4, 28);
$f1f5_4 = $f1_2->mulInt64($f5_2, 29);
$f1f6_2 = $f1_2->mulInt64($f6, 28);
$f1f7_4 = $f1_2->mulInt64($f7_2, 29);
$f1f8_2 = $f1_2->mulInt64($f8, 28);
$f1f9_76 = $f9_38->mulInt64($f1_2, 29);
$f2f2 = $f2->mulInt64($f2, 28);
$f2f3_2 = $f2_2->mulInt64($f3, 28);
$f2f4_2 = $f2_2->mulInt64($f4, 28);
$f2f5_2 = $f2_2->mulInt64($f5, 28);
$f2f6_2 = $f2_2->mulInt64($f6, 28);
$f2f7_2 = $f2_2->mulInt64($f7, 28);
$f2f8_38 = $f8_19->mulInt64($f2_2, 29);
$f2f9_38 = $f9_38->mulInt64($f2, 29);
$f3f3_2 = $f3_2->mulInt64($f3, 28);
$f3f4_2 = $f3_2->mulInt64($f4, 28);
$f3f5_4 = $f3_2->mulInt64($f5_2, 28);
$f3f6_2 = $f3_2->mulInt64($f6, 28);
$f3f7_76 = $f7_38->mulInt64($f3_2, 29);
$f3f8_38 = $f8_19->mulInt64($f3_2, 29);
$f3f9_76 = $f9_38->mulInt64($f3_2, 29);
$f4f4 = $f4->mulInt64($f4, 28);
$f4f5_2 = $f4_2->mulInt64($f5, 28);
$f4f6_38 = $f6_19->mulInt64($f4_2, 29);
$f4f7_38 = $f7_38->mulInt64($f4, 29);
$f4f8_38 = $f8_19->mulInt64($f4_2, 29);
$f4f9_38 = $f9_38->mulInt64($f4, 29);
$f5f5_38 = $f5_38->mulInt64($f5, 29);
$f5f6_38 = $f6_19->mulInt64($f5_2, 29);
$f5f7_76 = $f7_38->mulInt64($f5_2, 29);
$f5f8_38 = $f8_19->mulInt64($f5_2, 29);
$f5f9_76 = $f9_38->mulInt64($f5_2, 29);
$f6f6_19 = $f6_19->mulInt64($f6, 29);
$f6f7_38 = $f7_38->mulInt64($f6, 29);
$f6f8_38 = $f8_19->mulInt64($f6_2, 29);
$f6f9_38 = $f9_38->mulInt64($f6, 29);
$f7f7_38 = $f7_38->mulInt64($f7, 29);
$f7f8_38 = $f8_19->mulInt64($f7_2, 29);
$f7f9_76 = $f9_38->mulInt64($f7_2, 29);
$f8f8_19 = $f8_19->mulInt64($f8, 29);
$f8f9_38 = $f9_38->mulInt64($f8, 29);
$f9f9_38 = $f9_38->mulInt64($f9, 29);
$h0 = $f0f0->addInt64($f1f9_76)->addInt64($f2f8_38)->addInt64($f3f7_76)->addInt64($f4f6_38)->addInt64($f5f5_38);
$h1 = $f0f1_2->addInt64($f2f9_38)->addInt64($f3f8_38)->addInt64($f4f7_38)->addInt64($f5f6_38);
$h2 = $f0f2_2->addInt64($f1f1_2)->addInt64($f3f9_76)->addInt64($f4f8_38)->addInt64($f5f7_76)->addInt64($f6f6_19);
$h3 = $f0f3_2->addInt64($f1f2_2)->addInt64($f4f9_38)->addInt64($f5f8_38)->addInt64($f6f7_38);
$h4 = $f0f4_2->addInt64($f1f3_4)->addInt64($f2f2)->addInt64($f5f9_76)->addInt64($f6f8_38)->addInt64($f7f7_38);
$h5 = $f0f5_2->addInt64($f1f4_2)->addInt64($f2f3_2)->addInt64($f6f9_38)->addInt64($f7f8_38);
$h6 = $f0f6_2->addInt64($f1f5_4)->addInt64($f2f4_2)->addInt64($f3f3_2)->addInt64($f7f9_76)->addInt64($f8f8_19);
$h7 = $f0f7_2->addInt64($f1f6_2)->addInt64($f2f5_2)->addInt64($f3f4_2)->addInt64($f8f9_38);
$h8 = $f0f8_2->addInt64($f1f7_4)->addInt64($f2f6_2)->addInt64($f3f5_4)->addInt64($f4f4)->addInt64($f9f9_38);
$h9 = $f0f9_2->addInt64($f1f8_2)->addInt64($f2f7_2)->addInt64($f3f6_2)->addInt64($f4f5_2);
/**
* @var ParagonIE_Sodium_Core32_Int64 $h0
* @var ParagonIE_Sodium_Core32_Int64 $h1
* @var ParagonIE_Sodium_Core32_Int64 $h2
* @var ParagonIE_Sodium_Core32_Int64 $h3
* @var ParagonIE_Sodium_Core32_Int64 $h4
* @var ParagonIE_Sodium_Core32_Int64 $h5
* @var ParagonIE_Sodium_Core32_Int64 $h6
* @var ParagonIE_Sodium_Core32_Int64 $h7
* @var ParagonIE_Sodium_Core32_Int64 $h8
* @var ParagonIE_Sodium_Core32_Int64 $h9
*/
$h0 = $h0->shiftLeft(1);
$h1 = $h1->shiftLeft(1);
$h2 = $h2->shiftLeft(1);
$h3 = $h3->shiftLeft(1);
$h4 = $h4->shiftLeft(1);
$h5 = $h5->shiftLeft(1);
$h6 = $h6->shiftLeft(1);
$h7 = $h7->shiftLeft(1);
$h8 = $h8->shiftLeft(1);
$h9 = $h9->shiftLeft(1);
$carry0 = $h0->addInt(1 << 25)->shiftRight(26);
$h1 = $h1->addInt64($carry0);
$h0 = $h0->subInt64($carry0->shiftLeft(26));
$carry4 = $h4->addInt(1 << 25)->shiftRight(26);
$h5 = $h5->addInt64($carry4);
$h4 = $h4->subInt64($carry4->shiftLeft(26));
$carry1 = $h1->addInt(1 << 24)->shiftRight(25);
$h2 = $h2->addInt64($carry1);
$h1 = $h1->subInt64($carry1->shiftLeft(25));
$carry5 = $h5->addInt(1 << 24)->shiftRight(25);
$h6 = $h6->addInt64($carry5);
$h5 = $h5->subInt64($carry5->shiftLeft(25));
$carry2 = $h2->addInt(1 << 25)->shiftRight(26);
$h3 = $h3->addInt64($carry2);
$h2 = $h2->subInt64($carry2->shiftLeft(26));
$carry6 = $h6->addInt(1 << 25)->shiftRight(26);
$h7 = $h7->addInt64($carry6);
$h6 = $h6->subInt64($carry6->shiftLeft(26));
$carry3 = $h3->addInt(1 << 24)->shiftRight(25);
$h4 = $h4->addInt64($carry3);
$h3 = $h3->subInt64($carry3->shiftLeft(25));
$carry7 = $h7->addInt(1 << 24)->shiftRight(25);
$h8 = $h8->addInt64($carry7);
$h7 = $h7->subInt64($carry7->shiftLeft(25));
$carry4 = $h4->addInt(1 << 25)->shiftRight(26);
$h5 = $h5->addInt64($carry4);
$h4 = $h4->subInt64($carry4->shiftLeft(26));
$carry8 = $h8->addInt(1 << 25)->shiftRight(26);
$h9 = $h9->addInt64($carry8);
$h8 = $h8->subInt64($carry8->shiftLeft(26));
$carry9 = $h9->addInt(1 << 24)->shiftRight(25);
$h0 = $h0->addInt64($carry9->mulInt(19, 5));
$h9 = $h9->subInt64($carry9->shiftLeft(25));
$carry0 = $h0->addInt(1 << 25)->shiftRight(26);
$h1 = $h1->addInt64($carry0);
$h0 = $h0->subInt64($carry0->shiftLeft(26));
return ParagonIE_Sodium_Core32_Curve25519_Fe::fromArray(
array(
$h0->toInt32(),
$h1->toInt32(),
$h2->toInt32(),
$h3->toInt32(),
$h4->toInt32(),
$h5->toInt32(),
$h6->toInt32(),
$h7->toInt32(),
$h8->toInt32(),
$h9->toInt32()
)
);
}
/**
* @internal You should not use this directly from another application
*
* @param ParagonIE_Sodium_Core32_Curve25519_Fe $Z
* @return ParagonIE_Sodium_Core32_Curve25519_Fe
* @throws SodiumException
* @throws TypeError
*/
public static function fe_invert(ParagonIE_Sodium_Core32_Curve25519_Fe $Z)
{
$z = clone $Z;
$t0 = self::fe_sq($z);
$t1 = self::fe_sq($t0);
$t1 = self::fe_sq($t1);
$t1 = self::fe_mul($z, $t1);
$t0 = self::fe_mul($t0, $t1);
$t2 = self::fe_sq($t0);
$t1 = self::fe_mul($t1, $t2);
$t2 = self::fe_sq($t1);
for ($i = 1; $i < 5; ++$i) {
$t2 = self::fe_sq($t2);
}
$t1 = self::fe_mul($t2, $t1);
$t2 = self::fe_sq($t1);
for ($i = 1; $i < 10; ++$i) {
$t2 = self::fe_sq($t2);
}
$t2 = self::fe_mul($t2, $t1);
$t3 = self::fe_sq($t2);
for ($i = 1; $i < 20; ++$i) {
$t3 = self::fe_sq($t3);
}
$t2 = self::fe_mul($t3, $t2);
$t2 = self::fe_sq($t2);
for ($i = 1; $i < 10; ++$i) {
$t2 = self::fe_sq($t2);
}
$t1 = self::fe_mul($t2, $t1);
$t2 = self::fe_sq($t1);
for ($i = 1; $i < 50; ++$i) {
$t2 = self::fe_sq($t2);
}
$t2 = self::fe_mul($t2, $t1);
$t3 = self::fe_sq($t2);
for ($i = 1; $i < 100; ++$i) {
$t3 = self::fe_sq($t3);
}
$t2 = self::fe_mul($t3, $t2);
$t2 = self::fe_sq($t2);
for ($i = 1; $i < 50; ++$i) {
$t2 = self::fe_sq($t2);
}
$t1 = self::fe_mul($t2, $t1);
$t1 = self::fe_sq($t1);
for ($i = 1; $i < 5; ++$i) {
$t1 = self::fe_sq($t1);
}
return self::fe_mul($t1, $t0);
}
/**
* @internal You should not use this directly from another application
*
* @ref https://github.com/jedisct1/libsodium/blob/68564326e1e9dc57ef03746f85734232d20ca6fb/src/libsodium/crypto_core/curve25519/ref10/curve25519_ref10.c#L1054-L1106
*
* @param ParagonIE_Sodium_Core32_Curve25519_Fe $z
* @return ParagonIE_Sodium_Core32_Curve25519_Fe
* @throws SodiumException
* @throws TypeError
*/
public static function fe_pow22523(ParagonIE_Sodium_Core32_Curve25519_Fe $z)
{
# fe_sq(t0, z);
# fe_sq(t1, t0);
# fe_sq(t1, t1);
# fe_mul(t1, z, t1);
# fe_mul(t0, t0, t1);
# fe_sq(t0, t0);
# fe_mul(t0, t1, t0);
# fe_sq(t1, t0);
$t0 = self::fe_sq($z);
$t1 = self::fe_sq($t0);
$t1 = self::fe_sq($t1);
$t1 = self::fe_mul($z, $t1);
$t0 = self::fe_mul($t0, $t1);
$t0 = self::fe_sq($t0);
$t0 = self::fe_mul($t1, $t0);
$t1 = self::fe_sq($t0);
# for (i = 1; i < 5; ++i) {
# fe_sq(t1, t1);
# }
for ($i = 1; $i < 5; ++$i) {
$t1 = self::fe_sq($t1);
}
# fe_mul(t0, t1, t0);
# fe_sq(t1, t0);
$t0 = self::fe_mul($t1, $t0);
$t1 = self::fe_sq($t0);
# for (i = 1; i < 10; ++i) {
# fe_sq(t1, t1);
# }
for ($i = 1; $i < 10; ++$i) {
$t1 = self::fe_sq($t1);
}
# fe_mul(t1, t1, t0);
# fe_sq(t2, t1);
$t1 = self::fe_mul($t1, $t0);
$t2 = self::fe_sq($t1);
# for (i = 1; i < 20; ++i) {
# fe_sq(t2, t2);
# }
for ($i = 1; $i < 20; ++$i) {
$t2 = self::fe_sq($t2);
}
# fe_mul(t1, t2, t1);
# fe_sq(t1, t1);
$t1 = self::fe_mul($t2, $t1);
$t1 = self::fe_sq($t1);
# for (i = 1; i < 10; ++i) {
# fe_sq(t1, t1);
# }
for ($i = 1; $i < 10; ++$i) {
$t1 = self::fe_sq($t1);
}
# fe_mul(t0, t1, t0);
# fe_sq(t1, t0);
$t0 = self::fe_mul($t1, $t0);
$t1 = self::fe_sq($t0);
# for (i = 1; i < 50; ++i) {
# fe_sq(t1, t1);
# }
for ($i = 1; $i < 50; ++$i) {
$t1 = self::fe_sq($t1);
}
# fe_mul(t1, t1, t0);
# fe_sq(t2, t1);
$t1 = self::fe_mul($t1, $t0);
$t2 = self::fe_sq($t1);
# for (i = 1; i < 100; ++i) {
# fe_sq(t2, t2);
# }
for ($i = 1; $i < 100; ++$i) {
$t2 = self::fe_sq($t2);
}
# fe_mul(t1, t2, t1);
# fe_sq(t1, t1);
$t1 = self::fe_mul($t2, $t1);
$t1 = self::fe_sq($t1);
# for (i = 1; i < 50; ++i) {
# fe_sq(t1, t1);
# }
for ($i = 1; $i < 50; ++$i) {
$t1 = self::fe_sq($t1);
}
# fe_mul(t0, t1, t0);
# fe_sq(t0, t0);
# fe_sq(t0, t0);
# fe_mul(out, t0, z);
$t0 = self::fe_mul($t1, $t0);
$t0 = self::fe_sq($t0);
$t0 = self::fe_sq($t0);
return self::fe_mul($t0, $z);
}
/**
* Subtract two field elements.
*
* h = f - g
*
* Preconditions:
* |f| bounded by 1.1*2^25,1.1*2^24,1.1*2^25,1.1*2^24,etc.
* |g| bounded by 1.1*2^25,1.1*2^24,1.1*2^25,1.1*2^24,etc.
*
* Postconditions:
* |h| bounded by 1.1*2^26,1.1*2^25,1.1*2^26,1.1*2^25,etc.
*
* @internal You should not use this directly from another application
*
* @param ParagonIE_Sodium_Core32_Curve25519_Fe $f
* @param ParagonIE_Sodium_Core32_Curve25519_Fe $g
* @return ParagonIE_Sodium_Core32_Curve25519_Fe
* @throws SodiumException
* @throws TypeError
* @psalm-suppress MixedMethodCall
* @psalm-suppress MixedTypeCoercion
*/
public static function fe_sub(ParagonIE_Sodium_Core32_Curve25519_Fe $f, ParagonIE_Sodium_Core32_Curve25519_Fe $g)
{
return ParagonIE_Sodium_Core32_Curve25519_Fe::fromArray(
array(
$f[0]->subInt32($g[0]),
$f[1]->subInt32($g[1]),
$f[2]->subInt32($g[2]),
$f[3]->subInt32($g[3]),
$f[4]->subInt32($g[4]),
$f[5]->subInt32($g[5]),
$f[6]->subInt32($g[6]),
$f[7]->subInt32($g[7]),
$f[8]->subInt32($g[8]),
$f[9]->subInt32($g[9])
)
);
}
/**
* Add two group elements.
*
* r = p + q
*
* @internal You should not use this directly from another application
*
* @param ParagonIE_Sodium_Core32_Curve25519_Ge_P3 $p
* @param ParagonIE_Sodium_Core32_Curve25519_Ge_Cached $q
* @return ParagonIE_Sodium_Core32_Curve25519_Ge_P1p1
* @throws SodiumException
* @throws TypeError
*/
public static function ge_add(
ParagonIE_Sodium_Core32_Curve25519_Ge_P3 $p,
ParagonIE_Sodium_Core32_Curve25519_Ge_Cached $q
) {
$r = new ParagonIE_Sodium_Core32_Curve25519_Ge_P1p1();
$r->X = self::fe_add($p->Y, $p->X);
$r->Y = self::fe_sub($p->Y, $p->X);
$r->Z = self::fe_mul($r->X, $q->YplusX);
$r->Y = self::fe_mul($r->Y, $q->YminusX);
$r->T = self::fe_mul($q->T2d, $p->T);
$r->X = self::fe_mul($p->Z, $q->Z);
$t0 = self::fe_add($r->X, $r->X);
$r->X = self::fe_sub($r->Z, $r->Y);
$r->Y = self::fe_add($r->Z, $r->Y);
$r->Z = self::fe_add($t0, $r->T);
$r->T = self::fe_sub($t0, $r->T);
return $r;
}
/**
* @internal You should not use this directly from another application
*
* @ref https://github.com/jedisct1/libsodium/blob/157c4a80c13b117608aeae12178b2d38825f9f8f/src/libsodium/crypto_core/curve25519/ref10/curve25519_ref10.c#L1185-L1215
* @param string $a
* @return array<int, mixed>
* @throws SodiumException
* @throws TypeError
* @psalm-suppress MixedArrayOffset
*/
public static function slide($a)
{
if (self::strlen($a) < 256) {
if (self::strlen($a) < 16) {
$a = str_pad($a, 256, '0', STR_PAD_RIGHT);
}
}
/** @var array<int, int> $r */
$r = array();
for ($i = 0; $i < 256; ++$i) {
$r[$i] = (int) (1 &
(
self::chrToInt($a[$i >> 3])
>>
($i & 7)
)
);
}
for ($i = 0;$i < 256;++$i) {
if ($r[$i]) {
for ($b = 1;$b <= 6 && $i + $b < 256;++$b) {
if ($r[$i + $b]) {
if ($r[$i] + ($r[$i + $b] << $b) <= 15) {
$r[$i] += $r[$i + $b] << $b;
$r[$i + $b] = 0;
} elseif ($r[$i] - ($r[$i + $b] << $b) >= -15) {
$r[$i] -= $r[$i + $b] << $b;
for ($k = $i + $b; $k < 256; ++$k) {
if (!$r[$k]) {
$r[$k] = 1;
break;
}
$r[$k] = 0;
}
} else {
break;
}
}
}
}
}
return $r;
}
/**
* @internal You should not use this directly from another application
*
* @param string $s
* @return ParagonIE_Sodium_Core32_Curve25519_Ge_P3
* @throws SodiumException
* @throws TypeError
*/
public static function ge_frombytes_negate_vartime($s)
{
static $d = null;
if (!$d) {
$d = ParagonIE_Sodium_Core32_Curve25519_Fe::fromArray(
array(
ParagonIE_Sodium_Core32_Int32::fromInt(self::$d[0]),
ParagonIE_Sodium_Core32_Int32::fromInt(self::$d[1]),
ParagonIE_Sodium_Core32_Int32::fromInt(self::$d[2]),
ParagonIE_Sodium_Core32_Int32::fromInt(self::$d[3]),
ParagonIE_Sodium_Core32_Int32::fromInt(self::$d[4]),
ParagonIE_Sodium_Core32_Int32::fromInt(self::$d[5]),
ParagonIE_Sodium_Core32_Int32::fromInt(self::$d[6]),
ParagonIE_Sodium_Core32_Int32::fromInt(self::$d[7]),
ParagonIE_Sodium_Core32_Int32::fromInt(self::$d[8]),
ParagonIE_Sodium_Core32_Int32::fromInt(self::$d[9])
)
);
}
/** @var ParagonIE_Sodium_Core32_Curve25519_Fe $d */
# fe_frombytes(h->Y,s);
# fe_1(h->Z);
$h = new ParagonIE_Sodium_Core32_Curve25519_Ge_P3(
self::fe_0(),
self::fe_frombytes($s),
self::fe_1()
);
# fe_sq(u,h->Y);
# fe_mul(v,u,d);
# fe_sub(u,u,h->Z); /* u = y^2-1 */
# fe_add(v,v,h->Z); /* v = dy^2+1 */
$u = self::fe_sq($h->Y);
/** @var ParagonIE_Sodium_Core32_Curve25519_Fe $d */
$v = self::fe_mul($u, $d);
$u = self::fe_sub($u, $h->Z); /* u = y^2 - 1 */
$v = self::fe_add($v, $h->Z); /* v = dy^2 + 1 */
# fe_sq(v3,v);
# fe_mul(v3,v3,v); /* v3 = v^3 */
# fe_sq(h->X,v3);
# fe_mul(h->X,h->X,v);
# fe_mul(h->X,h->X,u); /* x = uv^7 */
$v3 = self::fe_sq($v);
$v3 = self::fe_mul($v3, $v); /* v3 = v^3 */
$h->X = self::fe_sq($v3);
$h->X = self::fe_mul($h->X, $v);
$h->X = self::fe_mul($h->X, $u); /* x = uv^7 */
# fe_pow22523(h->X,h->X); /* x = (uv^7)^((q-5)/8) */
# fe_mul(h->X,h->X,v3);
# fe_mul(h->X,h->X,u); /* x = uv^3(uv^7)^((q-5)/8) */
$h->X = self::fe_pow22523($h->X); /* x = (uv^7)^((q-5)/8) */
$h->X = self::fe_mul($h->X, $v3);
$h->X = self::fe_mul($h->X, $u); /* x = uv^3(uv^7)^((q-5)/8) */
# fe_sq(vxx,h->X);
# fe_mul(vxx,vxx,v);
# fe_sub(check,vxx,u); /* vx^2-u */
$vxx = self::fe_sq($h->X);
$vxx = self::fe_mul($vxx, $v);
$check = self::fe_sub($vxx, $u); /* vx^2 - u */
# if (fe_isnonzero(check)) {
# fe_add(check,vxx,u); /* vx^2+u */
# if (fe_isnonzero(check)) {
# return -1;
# }
# fe_mul(h->X,h->X,sqrtm1);
# }
if (self::fe_isnonzero($check)) {
$check = self::fe_add($vxx, $u); /* vx^2 + u */
if (self::fe_isnonzero($check)) {
throw new RangeException('Internal check failed.');
}
$h->X = self::fe_mul(
$h->X,
ParagonIE_Sodium_Core32_Curve25519_Fe::fromIntArray(self::$sqrtm1)
);
}
# if (fe_isnegative(h->X) == (s[31] >> 7)) {
# fe_neg(h->X,h->X);
# }
$i = self::chrToInt($s[31]);
if (self::fe_isnegative($h->X) === ($i >> 7)) {
$h->X = self::fe_neg($h->X);
}
# fe_mul(h->T,h->X,h->Y);
$h->T = self::fe_mul($h->X, $h->Y);
return $h;
}
/**
* @internal You should not use this directly from another application
*
* @param ParagonIE_Sodium_Core32_Curve25519_Ge_P1p1 $R
* @param ParagonIE_Sodium_Core32_Curve25519_Ge_P3 $p
* @param ParagonIE_Sodium_Core32_Curve25519_Ge_Precomp $q
* @return ParagonIE_Sodium_Core32_Curve25519_Ge_P1p1
* @throws SodiumException
* @throws TypeError
*/
public static function ge_madd(
ParagonIE_Sodium_Core32_Curve25519_Ge_P1p1 $R,
ParagonIE_Sodium_Core32_Curve25519_Ge_P3 $p,
ParagonIE_Sodium_Core32_Curve25519_Ge_Precomp $q
) {
$r = clone $R;
$r->X = self::fe_add($p->Y, $p->X);
$r->Y = self::fe_sub($p->Y, $p->X);
$r->Z = self::fe_mul($r->X, $q->yplusx);
$r->Y = self::fe_mul($r->Y, $q->yminusx);
$r->T = self::fe_mul($q->xy2d, $p->T);
$t0 = self::fe_add(clone $p->Z, clone $p->Z);
$r->X = self::fe_sub($r->Z, $r->Y);
$r->Y = self::fe_add($r->Z, $r->Y);
$r->Z = self::fe_add($t0, $r->T);
$r->T = self::fe_sub($t0, $r->T);
return $r;
}
/**
* @internal You should not use this directly from another application
*
* @param ParagonIE_Sodium_Core32_Curve25519_Ge_P1p1 $R
* @param ParagonIE_Sodium_Core32_Curve25519_Ge_P3 $p
* @param ParagonIE_Sodium_Core32_Curve25519_Ge_Precomp $q
* @return ParagonIE_Sodium_Core32_Curve25519_Ge_P1p1
* @throws SodiumException
* @throws TypeError
*/
public static function ge_msub(
ParagonIE_Sodium_Core32_Curve25519_Ge_P1p1 $R,
ParagonIE_Sodium_Core32_Curve25519_Ge_P3 $p,
ParagonIE_Sodium_Core32_Curve25519_Ge_Precomp $q
) {
$r = clone $R;
$r->X = self::fe_add($p->Y, $p->X);
$r->Y = self::fe_sub($p->Y, $p->X);
$r->Z = self::fe_mul($r->X, $q->yminusx);
$r->Y = self::fe_mul($r->Y, $q->yplusx);
$r->T = self::fe_mul($q->xy2d, $p->T);
$t0 = self::fe_add($p->Z, $p->Z);
$r->X = self::fe_sub($r->Z, $r->Y);
$r->Y = self::fe_add($r->Z, $r->Y);
$r->Z = self::fe_sub($t0, $r->T);
$r->T = self::fe_add($t0, $r->T);
return $r;
}
/**
* @internal You should not use this directly from another application
*
* @param ParagonIE_Sodium_Core32_Curve25519_Ge_P1p1 $p
* @return ParagonIE_Sodium_Core32_Curve25519_Ge_P2
* @throws SodiumException
* @throws TypeError
*/
public static function ge_p1p1_to_p2(ParagonIE_Sodium_Core32_Curve25519_Ge_P1p1 $p)
{
$r = new ParagonIE_Sodium_Core32_Curve25519_Ge_P2();
$r->X = self::fe_mul($p->X, $p->T);
$r->Y = self::fe_mul($p->Y, $p->Z);
$r->Z = self::fe_mul($p->Z, $p->T);
return $r;
}
/**
* @internal You should not use this directly from another application
*
* @param ParagonIE_Sodium_Core32_Curve25519_Ge_P1p1 $p
* @return ParagonIE_Sodium_Core32_Curve25519_Ge_P3
* @throws SodiumException
* @throws TypeError
*/
public static function ge_p1p1_to_p3(ParagonIE_Sodium_Core32_Curve25519_Ge_P1p1 $p)
{
$r = new ParagonIE_Sodium_Core32_Curve25519_Ge_P3();
$r->X = self::fe_mul($p->X, $p->T);
$r->Y = self::fe_mul($p->Y, $p->Z);
$r->Z = self::fe_mul($p->Z, $p->T);
$r->T = self::fe_mul($p->X, $p->Y);
return $r;
}
/**
* @internal You should not use this directly from another application
*
* @return ParagonIE_Sodium_Core32_Curve25519_Ge_P2
* @throws SodiumException
* @throws TypeError
*/
public static function ge_p2_0()
{
return new ParagonIE_Sodium_Core32_Curve25519_Ge_P2(
self::fe_0(),
self::fe_1(),
self::fe_1()
);
}
/**
* @internal You should not use this directly from another application
*
* @param ParagonIE_Sodium_Core32_Curve25519_Ge_P2 $p
* @return ParagonIE_Sodium_Core32_Curve25519_Ge_P1p1
* @throws SodiumException
* @throws TypeError
*/
public static function ge_p2_dbl(ParagonIE_Sodium_Core32_Curve25519_Ge_P2 $p)
{
$r = new ParagonIE_Sodium_Core32_Curve25519_Ge_P1p1();
$r->X = self::fe_sq($p->X);
$r->Z = self::fe_sq($p->Y);
$r->T = self::fe_sq2($p->Z);
$r->Y = self::fe_add($p->X, $p->Y);
$t0 = self::fe_sq($r->Y);
$r->Y = self::fe_add($r->Z, $r->X);
$r->Z = self::fe_sub($r->Z, $r->X);
$r->X = self::fe_sub($t0, $r->Y);
$r->T = self::fe_sub($r->T, $r->Z);
return $r;
}
/**
* @internal You should not use this directly from another application
*
* @return ParagonIE_Sodium_Core32_Curve25519_Ge_P3
* @throws SodiumException
* @throws TypeError
*/
public static function ge_p3_0()
{
return new ParagonIE_Sodium_Core32_Curve25519_Ge_P3(
self::fe_0(),
self::fe_1(),
self::fe_1(),
self::fe_0()
);
}
/**
* @internal You should not use this directly from another application
*
* @param ParagonIE_Sodium_Core32_Curve25519_Ge_P3 $p
* @return ParagonIE_Sodium_Core32_Curve25519_Ge_Cached
* @throws SodiumException
* @throws TypeError
*/
public static function ge_p3_to_cached(ParagonIE_Sodium_Core32_Curve25519_Ge_P3 $p)
{
static $d2 = null;
if ($d2 === null) {
$d2 = ParagonIE_Sodium_Core32_Curve25519_Fe::fromArray(
array(
ParagonIE_Sodium_Core32_Int32::fromInt(self::$d2[0]),
ParagonIE_Sodium_Core32_Int32::fromInt(self::$d2[1]),
ParagonIE_Sodium_Core32_Int32::fromInt(self::$d2[2]),
ParagonIE_Sodium_Core32_Int32::fromInt(self::$d2[3]),
ParagonIE_Sodium_Core32_Int32::fromInt(self::$d2[4]),
ParagonIE_Sodium_Core32_Int32::fromInt(self::$d2[5]),
ParagonIE_Sodium_Core32_Int32::fromInt(self::$d2[6]),
ParagonIE_Sodium_Core32_Int32::fromInt(self::$d2[7]),
ParagonIE_Sodium_Core32_Int32::fromInt(self::$d2[8]),
ParagonIE_Sodium_Core32_Int32::fromInt(self::$d2[9])
)
);
}
/** @var ParagonIE_Sodium_Core32_Curve25519_Fe $d2 */
$r = new ParagonIE_Sodium_Core32_Curve25519_Ge_Cached();
$r->YplusX = self::fe_add($p->Y, $p->X);
$r->YminusX = self::fe_sub($p->Y, $p->X);
$r->Z = self::fe_copy($p->Z);
$r->T2d = self::fe_mul($p->T, $d2);
return $r;
}
/**
* @internal You should not use this directly from another application
*
* @param ParagonIE_Sodium_Core32_Curve25519_Ge_P3 $p
* @return ParagonIE_Sodium_Core32_Curve25519_Ge_P2
*/
public static function ge_p3_to_p2(ParagonIE_Sodium_Core32_Curve25519_Ge_P3 $p)
{
return new ParagonIE_Sodium_Core32_Curve25519_Ge_P2(
$p->X,
$p->Y,
$p->Z
);
}
/**
* @internal You should not use this directly from another application
*
* @param ParagonIE_Sodium_Core32_Curve25519_Ge_P3 $h
* @return string
* @throws SodiumException
* @throws TypeError
*/
public static function ge_p3_tobytes(ParagonIE_Sodium_Core32_Curve25519_Ge_P3 $h)
{
$recip = self::fe_invert($h->Z);
$x = self::fe_mul($h->X, $recip);
$y = self::fe_mul($h->Y, $recip);
$s = self::fe_tobytes($y);
$s[31] = self::intToChr(
self::chrToInt($s[31]) ^ (self::fe_isnegative($x) << 7)
);
return $s;
}
/**
* @internal You should not use this directly from another application
*
* @param ParagonIE_Sodium_Core32_Curve25519_Ge_P3 $p
* @return ParagonIE_Sodium_Core32_Curve25519_Ge_P1p1
* @throws SodiumException
* @throws TypeError
*/
public static function ge_p3_dbl(ParagonIE_Sodium_Core32_Curve25519_Ge_P3 $p)
{
$q = self::ge_p3_to_p2($p);
return self::ge_p2_dbl($q);
}
/**
* @return ParagonIE_Sodium_Core32_Curve25519_Ge_Precomp
* @throws SodiumException
* @throws TypeError
*/
public static function ge_precomp_0()
{
return new ParagonIE_Sodium_Core32_Curve25519_Ge_Precomp(
self::fe_1(),
self::fe_1(),
self::fe_0()
);
}
/**
* @internal You should not use this directly from another application
*
* @param int $b
* @param int $c
* @return int
* @psalm-suppress MixedReturnStatement
*/
public static function equal($b, $c)
{
$b0 = $b & 0xffff;
$b1 = ($b >> 16) & 0xffff;
$c0 = $c & 0xffff;
$c1 = ($c >> 16) & 0xffff;
$d0 = (($b0 ^ $c0) - 1) >> 31;
$d1 = (($b1 ^ $c1) - 1) >> 31;
return ($d0 & $d1) & 1;
}
/**
* @internal You should not use this directly from another application
*
* @param string|int $char
* @return int (1 = yes, 0 = no)
* @throws SodiumException
* @throws TypeError
*/
public static function negative($char)
{
if (is_int($char)) {
return $char < 0 ? 1 : 0;
}
/** @var string $char */
$x = self::chrToInt(self::substr($char, 0, 1));
return (int) ($x >> 31);
}
/**
* Conditional move
*
* @internal You should not use this directly from another application
*
* @param ParagonIE_Sodium_Core32_Curve25519_Ge_Precomp $t
* @param ParagonIE_Sodium_Core32_Curve25519_Ge_Precomp $u
* @param int $b
* @return ParagonIE_Sodium_Core32_Curve25519_Ge_Precomp
* @throws SodiumException
* @throws TypeError
*/
public static function cmov(
ParagonIE_Sodium_Core32_Curve25519_Ge_Precomp $t,
ParagonIE_Sodium_Core32_Curve25519_Ge_Precomp $u,
$b
) {
if (!is_int($b)) {
throw new InvalidArgumentException('Expected an integer.');
}
return new ParagonIE_Sodium_Core32_Curve25519_Ge_Precomp(
self::fe_cmov($t->yplusx, $u->yplusx, $b),
self::fe_cmov($t->yminusx, $u->yminusx, $b),
self::fe_cmov($t->xy2d, $u->xy2d, $b)
);
}
/**
* @internal You should not use this directly from another application
*
* @param int $pos
* @param int $b
* @return ParagonIE_Sodium_Core32_Curve25519_Ge_Precomp
* @throws SodiumException
* @throws TypeError
* @psalm-suppress MixedArrayAccess
* @psalm-suppress MixedArrayOffset
* @psalm-suppress MixedArgument
*/
public static function ge_select($pos = 0, $b = 0)
{
static $base = null;
if ($base === null) {
$base = array();
foreach (self::$base as $i => $bas) {
for ($j = 0; $j < 8; ++$j) {
$base[$i][$j] = new ParagonIE_Sodium_Core32_Curve25519_Ge_Precomp(
ParagonIE_Sodium_Core32_Curve25519_Fe::fromArray(
array(
ParagonIE_Sodium_Core32_Int32::fromInt($bas[$j][0][0]),
ParagonIE_Sodium_Core32_Int32::fromInt($bas[$j][0][1]),
ParagonIE_Sodium_Core32_Int32::fromInt($bas[$j][0][2]),
ParagonIE_Sodium_Core32_Int32::fromInt($bas[$j][0][3]),
ParagonIE_Sodium_Core32_Int32::fromInt($bas[$j][0][4]),
ParagonIE_Sodium_Core32_Int32::fromInt($bas[$j][0][5]),
ParagonIE_Sodium_Core32_Int32::fromInt($bas[$j][0][6]),
ParagonIE_Sodium_Core32_Int32::fromInt($bas[$j][0][7]),
ParagonIE_Sodium_Core32_Int32::fromInt($bas[$j][0][8]),
ParagonIE_Sodium_Core32_Int32::fromInt($bas[$j][0][9])
)
),
ParagonIE_Sodium_Core32_Curve25519_Fe::fromArray(
array(
ParagonIE_Sodium_Core32_Int32::fromInt($bas[$j][1][0]),
ParagonIE_Sodium_Core32_Int32::fromInt($bas[$j][1][1]),
ParagonIE_Sodium_Core32_Int32::fromInt($bas[$j][1][2]),
ParagonIE_Sodium_Core32_Int32::fromInt($bas[$j][1][3]),
ParagonIE_Sodium_Core32_Int32::fromInt($bas[$j][1][4]),
ParagonIE_Sodium_Core32_Int32::fromInt($bas[$j][1][5]),
ParagonIE_Sodium_Core32_Int32::fromInt($bas[$j][1][6]),
ParagonIE_Sodium_Core32_Int32::fromInt($bas[$j][1][7]),
ParagonIE_Sodium_Core32_Int32::fromInt($bas[$j][1][8]),
ParagonIE_Sodium_Core32_Int32::fromInt($bas[$j][1][9])
)
),
ParagonIE_Sodium_Core32_Curve25519_Fe::fromArray(
array(
ParagonIE_Sodium_Core32_Int32::fromInt($bas[$j][2][0]),
ParagonIE_Sodium_Core32_Int32::fromInt($bas[$j][2][1]),
ParagonIE_Sodium_Core32_Int32::fromInt($bas[$j][2][2]),
ParagonIE_Sodium_Core32_Int32::fromInt($bas[$j][2][3]),
ParagonIE_Sodium_Core32_Int32::fromInt($bas[$j][2][4]),
ParagonIE_Sodium_Core32_Int32::fromInt($bas[$j][2][5]),
ParagonIE_Sodium_Core32_Int32::fromInt($bas[$j][2][6]),
ParagonIE_Sodium_Core32_Int32::fromInt($bas[$j][2][7]),
ParagonIE_Sodium_Core32_Int32::fromInt($bas[$j][2][8]),
ParagonIE_Sodium_Core32_Int32::fromInt($bas[$j][2][9])
)
)
);
}
}
}
if (!is_int($pos)) {
throw new InvalidArgumentException('Position must be an integer');
}
if ($pos < 0 || $pos > 31) {
throw new RangeException('Position is out of range [0, 31]');
}
$bnegative = self::negative($b);
$babs = $b - (((-$bnegative) & $b) << 1);
$t = self::ge_precomp_0();
for ($i = 0; $i < 8; ++$i) {
$t = self::cmov(
$t,
$base[$pos][$i],
-self::equal($babs, $i + 1)
);
}
$minusT = new ParagonIE_Sodium_Core32_Curve25519_Ge_Precomp(
self::fe_copy($t->yminusx),
self::fe_copy($t->yplusx),
self::fe_neg($t->xy2d)
);
return self::cmov($t, $minusT, -$bnegative);
}
/**
* Subtract two group elements.
*
* r = p - q
*
* @internal You should not use this directly from another application
*
* @param ParagonIE_Sodium_Core32_Curve25519_Ge_P3 $p
* @param ParagonIE_Sodium_Core32_Curve25519_Ge_Cached $q
* @return ParagonIE_Sodium_Core32_Curve25519_Ge_P1p1
* @throws SodiumException
* @throws TypeError
*/
public static function ge_sub(
ParagonIE_Sodium_Core32_Curve25519_Ge_P3 $p,
ParagonIE_Sodium_Core32_Curve25519_Ge_Cached $q
) {
$r = new ParagonIE_Sodium_Core32_Curve25519_Ge_P1p1();
$r->X = self::fe_add($p->Y, $p->X);
$r->Y = self::fe_sub($p->Y, $p->X);
$r->Z = self::fe_mul($r->X, $q->YminusX);
$r->Y = self::fe_mul($r->Y, $q->YplusX);
$r->T = self::fe_mul($q->T2d, $p->T);
$r->X = self::fe_mul($p->Z, $q->Z);
$t0 = self::fe_add($r->X, $r->X);
$r->X = self::fe_sub($r->Z, $r->Y);
$r->Y = self::fe_add($r->Z, $r->Y);
$r->Z = self::fe_sub($t0, $r->T);
$r->T = self::fe_add($t0, $r->T);
return $r;
}
/**
* Convert a group element to a byte string.
*
* @param ParagonIE_Sodium_Core32_Curve25519_Ge_P2 $h
* @return string
* @throws SodiumException
* @throws TypeError
*/
public static function ge_tobytes(ParagonIE_Sodium_Core32_Curve25519_Ge_P2 $h)
{
$recip = self::fe_invert($h->Z);
$x = self::fe_mul($h->X, $recip);
$y = self::fe_mul($h->Y, $recip);
$s = self::fe_tobytes($y);
$s[31] = self::intToChr(
self::chrToInt($s[31]) ^ (self::fe_isnegative($x) << 7)
);
return $s;
}
/**
* @internal You should not use this directly from another application
*
* @param string $a
* @param ParagonIE_Sodium_Core32_Curve25519_Ge_P3 $A
* @param string $b
* @return ParagonIE_Sodium_Core32_Curve25519_Ge_P2
* @throws SodiumException
* @throws TypeError
* @psalm-suppress MixedArrayAccess
*/
public static function ge_double_scalarmult_vartime(
$a,
ParagonIE_Sodium_Core32_Curve25519_Ge_P3 $A,
$b
) {
/** @var array<int, ParagonIE_Sodium_Core32_Curve25519_Ge_Cached> $Ai */
$Ai = array();
static $Bi = array();
/** @var array<int, ParagonIE_Sodium_Core32_Curve25519_Ge_Precomp> $Bi */
if (!$Bi) {
for ($i = 0; $i < 8; ++$i) {
$Bi[$i] = new ParagonIE_Sodium_Core32_Curve25519_Ge_Precomp(
ParagonIE_Sodium_Core32_Curve25519_Fe::fromArray(
array(
ParagonIE_Sodium_Core32_Int32::fromInt(self::$base2[$i][0][0]),
ParagonIE_Sodium_Core32_Int32::fromInt(self::$base2[$i][0][1]),
ParagonIE_Sodium_Core32_Int32::fromInt(self::$base2[$i][0][2]),
ParagonIE_Sodium_Core32_Int32::fromInt(self::$base2[$i][0][3]),
ParagonIE_Sodium_Core32_Int32::fromInt(self::$base2[$i][0][4]),
ParagonIE_Sodium_Core32_Int32::fromInt(self::$base2[$i][0][5]),
ParagonIE_Sodium_Core32_Int32::fromInt(self::$base2[$i][0][6]),
ParagonIE_Sodium_Core32_Int32::fromInt(self::$base2[$i][0][7]),
ParagonIE_Sodium_Core32_Int32::fromInt(self::$base2[$i][0][8]),
ParagonIE_Sodium_Core32_Int32::fromInt(self::$base2[$i][0][9])
)
),
ParagonIE_Sodium_Core32_Curve25519_Fe::fromArray(
array(
ParagonIE_Sodium_Core32_Int32::fromInt(self::$base2[$i][1][0]),
ParagonIE_Sodium_Core32_Int32::fromInt(self::$base2[$i][1][1]),
ParagonIE_Sodium_Core32_Int32::fromInt(self::$base2[$i][1][2]),
ParagonIE_Sodium_Core32_Int32::fromInt(self::$base2[$i][1][3]),
ParagonIE_Sodium_Core32_Int32::fromInt(self::$base2[$i][1][4]),
ParagonIE_Sodium_Core32_Int32::fromInt(self::$base2[$i][1][5]),
ParagonIE_Sodium_Core32_Int32::fromInt(self::$base2[$i][1][6]),
ParagonIE_Sodium_Core32_Int32::fromInt(self::$base2[$i][1][7]),
ParagonIE_Sodium_Core32_Int32::fromInt(self::$base2[$i][1][8]),
ParagonIE_Sodium_Core32_Int32::fromInt(self::$base2[$i][1][9])
)
),
ParagonIE_Sodium_Core32_Curve25519_Fe::fromArray(
array(
ParagonIE_Sodium_Core32_Int32::fromInt(self::$base2[$i][2][0]),
ParagonIE_Sodium_Core32_Int32::fromInt(self::$base2[$i][2][1]),
ParagonIE_Sodium_Core32_Int32::fromInt(self::$base2[$i][2][2]),
ParagonIE_Sodium_Core32_Int32::fromInt(self::$base2[$i][2][3]),
ParagonIE_Sodium_Core32_Int32::fromInt(self::$base2[$i][2][4]),
ParagonIE_Sodium_Core32_Int32::fromInt(self::$base2[$i][2][5]),
ParagonIE_Sodium_Core32_Int32::fromInt(self::$base2[$i][2][6]),
ParagonIE_Sodium_Core32_Int32::fromInt(self::$base2[$i][2][7]),
ParagonIE_Sodium_Core32_Int32::fromInt(self::$base2[$i][2][8]),
ParagonIE_Sodium_Core32_Int32::fromInt(self::$base2[$i][2][9])
)
)
);
}
}
for ($i = 0; $i < 8; ++$i) {
$Ai[$i] = new ParagonIE_Sodium_Core32_Curve25519_Ge_Cached(
self::fe_0(),
self::fe_0(),
self::fe_0(),
self::fe_0()
);
}
/** @var array<int, ParagonIE_Sodium_Core32_Curve25519_Ge_Cached> $Ai */
# slide(aslide,a);
# slide(bslide,b);
/** @var array<int, int> $aslide */
$aslide = self::slide($a);
/** @var array<int, int> $bslide */
$bslide = self::slide($b);
# ge_p3_to_cached(&Ai[0],A);
# ge_p3_dbl(&t,A); ge_p1p1_to_p3(&A2,&t);
$Ai[0] = self::ge_p3_to_cached($A);
$t = self::ge_p3_dbl($A);
$A2 = self::ge_p1p1_to_p3($t);
# ge_add(&t,&A2,&Ai[0]); ge_p1p1_to_p3(&u,&t); ge_p3_to_cached(&Ai[1],&u);
# ge_add(&t,&A2,&Ai[1]); ge_p1p1_to_p3(&u,&t); ge_p3_to_cached(&Ai[2],&u);
# ge_add(&t,&A2,&Ai[2]); ge_p1p1_to_p3(&u,&t); ge_p3_to_cached(&Ai[3],&u);
# ge_add(&t,&A2,&Ai[3]); ge_p1p1_to_p3(&u,&t); ge_p3_to_cached(&Ai[4],&u);
# ge_add(&t,&A2,&Ai[4]); ge_p1p1_to_p3(&u,&t); ge_p3_to_cached(&Ai[5],&u);
# ge_add(&t,&A2,&Ai[5]); ge_p1p1_to_p3(&u,&t); ge_p3_to_cached(&Ai[6],&u);
# ge_add(&t,&A2,&Ai[6]); ge_p1p1_to_p3(&u,&t); ge_p3_to_cached(&Ai[7],&u);
for ($i = 0; $i < 7; ++$i) {
$t = self::ge_add($A2, $Ai[$i]);
$u = self::ge_p1p1_to_p3($t);
$Ai[$i + 1] = self::ge_p3_to_cached($u);
}
# ge_p2_0(r);
$r = self::ge_p2_0();
# for (i = 255;i >= 0;--i) {
# if (aslide[i] || bslide[i]) break;
# }
$i = 255;
for (; $i >= 0; --$i) {
if ($aslide[$i] || $bslide[$i]) {
break;
}
}
# for (;i >= 0;--i) {
for (; $i >= 0; --$i) {
# ge_p2_dbl(&t,r);
$t = self::ge_p2_dbl($r);
# if (aslide[i] > 0) {
if ($aslide[$i] > 0) {
# ge_p1p1_to_p3(&u,&t);
# ge_add(&t,&u,&Ai[aslide[i]/2]);
$u = self::ge_p1p1_to_p3($t);
$t = self::ge_add(
$u,
$Ai[(int) floor($aslide[$i] / 2)]
);
# } else if (aslide[i] < 0) {
} elseif ($aslide[$i] < 0) {
# ge_p1p1_to_p3(&u,&t);
# ge_sub(&t,&u,&Ai[(-aslide[i])/2]);
$u = self::ge_p1p1_to_p3($t);
$t = self::ge_sub(
$u,
$Ai[(int) floor(-$aslide[$i] / 2)]
);
}
/** @var array<int, ParagonIE_Sodium_Core32_Curve25519_Ge_Precomp> $Bi */
# if (bslide[i] > 0) {
if ($bslide[$i] > 0) {
# ge_p1p1_to_p3(&u,&t);
# ge_madd(&t,&u,&Bi[bslide[i]/2]);
$u = self::ge_p1p1_to_p3($t);
/** @var int $index */
$index = (int) floor($bslide[$i] / 2);
/** @var ParagonIE_Sodium_Core32_Curve25519_Ge_Precomp $thisB */
$thisB = $Bi[$index];
$t = self::ge_madd($t, $u, $thisB);
# } else if (bslide[i] < 0) {
} elseif ($bslide[$i] < 0) {
# ge_p1p1_to_p3(&u,&t);
# ge_msub(&t,&u,&Bi[(-bslide[i])/2]);
$u = self::ge_p1p1_to_p3($t);
/** @var int $index */
$index = (int) floor(-$bslide[$i] / 2);
/** @var ParagonIE_Sodium_Core32_Curve25519_Ge_Precomp $thisB */
$thisB = $Bi[$index];
$t = self::ge_msub($t, $u, $thisB);
}
# ge_p1p1_to_p2(r,&t);
$r = self::ge_p1p1_to_p2($t);
}
return $r;
}
/**
* @internal You should not use this directly from another application
*
* @param string $a
* @return ParagonIE_Sodium_Core32_Curve25519_Ge_P3
* @psalm-suppress MixedAssignment
* @psalm-suppress MixedOperand
* @throws SodiumException
* @throws TypeError
*/
public static function ge_scalarmult_base($a)
{
/** @var array<int, int> $e */
$e = array();
$r = new ParagonIE_Sodium_Core32_Curve25519_Ge_P1p1();
for ($i = 0; $i < 32; ++$i) {
/** @var int $dbl */
$dbl = (int) $i << 1;
$e[$dbl] = (int) self::chrToInt($a[$i]) & 15;
$e[$dbl + 1] = (int) (self::chrToInt($a[$i]) >> 4) & 15;
}
/** @var int $carry */
$carry = 0;
for ($i = 0; $i < 63; ++$i) {
$e[$i] += $carry;
$carry = $e[$i] + 8;
$carry >>= 4;
$e[$i] -= $carry << 4;
}
/** @var array<int, int> $e */
$e[63] += (int) $carry;
$h = self::ge_p3_0();
for ($i = 1; $i < 64; $i += 2) {
$t = self::ge_select((int) floor($i / 2), (int) $e[$i]);
$r = self::ge_madd($r, $h, $t);
$h = self::ge_p1p1_to_p3($r);
}
$r = self::ge_p3_dbl($h);
$s = self::ge_p1p1_to_p2($r);
$r = self::ge_p2_dbl($s);
$s = self::ge_p1p1_to_p2($r);
$r = self::ge_p2_dbl($s);
$s = self::ge_p1p1_to_p2($r);
$r = self::ge_p2_dbl($s);
$h = self::ge_p1p1_to_p3($r);
for ($i = 0; $i < 64; $i += 2) {
$t = self::ge_select($i >> 1, (int) $e[$i]);
$r = self::ge_madd($r, $h, $t);
$h = self::ge_p1p1_to_p3($r);
}
return $h;
}
/**
* Calculates (ab + c) mod l
* where l = 2^252 + 27742317777372353535851937790883648493
*
* @internal You should not use this directly from another application
*
* @param string $a
* @param string $b
* @param string $c
* @return string
* @throws SodiumException
* @throws TypeError
*/
public static function sc_muladd($a, $b, $c)
{
$a0 = ParagonIE_Sodium_Core32_Int64::fromInt(2097151 & self::load_3(self::substr($a, 0, 3)));
$a1 = ParagonIE_Sodium_Core32_Int64::fromInt(2097151 & (self::load_4(self::substr($a, 2, 4)) >> 5));
$a2 = ParagonIE_Sodium_Core32_Int64::fromInt(2097151 & (self::load_3(self::substr($a, 5, 3)) >> 2));
$a3 = ParagonIE_Sodium_Core32_Int64::fromInt(2097151 & (self::load_4(self::substr($a, 7, 4)) >> 7));
$a4 = ParagonIE_Sodium_Core32_Int64::fromInt(2097151 & (self::load_4(self::substr($a, 10, 4)) >> 4));
$a5 = ParagonIE_Sodium_Core32_Int64::fromInt(2097151 & (self::load_3(self::substr($a, 13, 3)) >> 1));
$a6 = ParagonIE_Sodium_Core32_Int64::fromInt(2097151 & (self::load_4(self::substr($a, 15, 4)) >> 6));
$a7 = ParagonIE_Sodium_Core32_Int64::fromInt(2097151 & (self::load_3(self::substr($a, 18, 3)) >> 3));
$a8 = ParagonIE_Sodium_Core32_Int64::fromInt(2097151 & self::load_3(self::substr($a, 21, 3)));
$a9 = ParagonIE_Sodium_Core32_Int64::fromInt(2097151 & (self::load_4(self::substr($a, 23, 4)) >> 5));
$a10 = ParagonIE_Sodium_Core32_Int64::fromInt(2097151 & (self::load_3(self::substr($a, 26, 3)) >> 2));
$a11 = ParagonIE_Sodium_Core32_Int64::fromInt(0x1fffffff & (self::load_4(self::substr($a, 28, 4)) >> 7));
$b0 = ParagonIE_Sodium_Core32_Int64::fromInt(2097151 & self::load_3(self::substr($b, 0, 3)));
$b1 = ParagonIE_Sodium_Core32_Int64::fromInt(2097151 & (self::load_4(self::substr($b, 2, 4)) >> 5));
$b2 = ParagonIE_Sodium_Core32_Int64::fromInt(2097151 & (self::load_3(self::substr($b, 5, 3)) >> 2));
$b3 = ParagonIE_Sodium_Core32_Int64::fromInt(2097151 & (self::load_4(self::substr($b, 7, 4)) >> 7));
$b4 = ParagonIE_Sodium_Core32_Int64::fromInt(2097151 & (self::load_4(self::substr($b, 10, 4)) >> 4));
$b5 = ParagonIE_Sodium_Core32_Int64::fromInt(2097151 & (self::load_3(self::substr($b, 13, 3)) >> 1));
$b6 = ParagonIE_Sodium_Core32_Int64::fromInt(2097151 & (self::load_4(self::substr($b, 15, 4)) >> 6));
$b7 = ParagonIE_Sodium_Core32_Int64::fromInt(2097151 & (self::load_3(self::substr($b, 18, 3)) >> 3));
$b8 = ParagonIE_Sodium_Core32_Int64::fromInt(2097151 & self::load_3(self::substr($b, 21, 3)));
$b9 = ParagonIE_Sodium_Core32_Int64::fromInt(2097151 & (self::load_4(self::substr($b, 23, 4)) >> 5));
$b10 = ParagonIE_Sodium_Core32_Int64::fromInt(2097151 & (self::load_3(self::substr($b, 26, 3)) >> 2));
$b11 = ParagonIE_Sodium_Core32_Int64::fromInt(0x1fffffff & (self::load_4(self::substr($b, 28, 4)) >> 7));
$c0 = ParagonIE_Sodium_Core32_Int64::fromInt(2097151 & self::load_3(self::substr($c, 0, 3)));
$c1 = ParagonIE_Sodium_Core32_Int64::fromInt(2097151 & (self::load_4(self::substr($c, 2, 4)) >> 5));
$c2 = ParagonIE_Sodium_Core32_Int64::fromInt(2097151 & (self::load_3(self::substr($c, 5, 3)) >> 2));
$c3 = ParagonIE_Sodium_Core32_Int64::fromInt(2097151 & (self::load_4(self::substr($c, 7, 4)) >> 7));
$c4 = ParagonIE_Sodium_Core32_Int64::fromInt(2097151 & (self::load_4(self::substr($c, 10, 4)) >> 4));
$c5 = ParagonIE_Sodium_Core32_Int64::fromInt(2097151 & (self::load_3(self::substr($c, 13, 3)) >> 1));
$c6 = ParagonIE_Sodium_Core32_Int64::fromInt(2097151 & (self::load_4(self::substr($c, 15, 4)) >> 6));
$c7 = ParagonIE_Sodium_Core32_Int64::fromInt(2097151 & (self::load_3(self::substr($c, 18, 3)) >> 3));
$c8 = ParagonIE_Sodium_Core32_Int64::fromInt(2097151 & self::load_3(self::substr($c, 21, 3)));
$c9 = ParagonIE_Sodium_Core32_Int64::fromInt(2097151 & (self::load_4(self::substr($c, 23, 4)) >> 5));
$c10 = ParagonIE_Sodium_Core32_Int64::fromInt(2097151 & (self::load_3(self::substr($c, 26, 3)) >> 2));
$c11 = ParagonIE_Sodium_Core32_Int64::fromInt(0x1fffffff & (self::load_4(self::substr($c, 28, 4)) >> 7));
/* Can't really avoid the pyramid here: */
/**
* @var ParagonIE_Sodium_Core32_Int64 $s0
* @var ParagonIE_Sodium_Core32_Int64 $s1
* @var ParagonIE_Sodium_Core32_Int64 $s2
* @var ParagonIE_Sodium_Core32_Int64 $s3
* @var ParagonIE_Sodium_Core32_Int64 $s4
* @var ParagonIE_Sodium_Core32_Int64 $s5
* @var ParagonIE_Sodium_Core32_Int64 $s6
* @var ParagonIE_Sodium_Core32_Int64 $s7
* @var ParagonIE_Sodium_Core32_Int64 $s8
* @var ParagonIE_Sodium_Core32_Int64 $s9
* @var ParagonIE_Sodium_Core32_Int64 $s10
* @var ParagonIE_Sodium_Core32_Int64 $s11
* @var ParagonIE_Sodium_Core32_Int64 $s12
* @var ParagonIE_Sodium_Core32_Int64 $s13
* @var ParagonIE_Sodium_Core32_Int64 $s14
* @var ParagonIE_Sodium_Core32_Int64 $s15
* @var ParagonIE_Sodium_Core32_Int64 $s16
* @var ParagonIE_Sodium_Core32_Int64 $s17
* @var ParagonIE_Sodium_Core32_Int64 $s18
* @var ParagonIE_Sodium_Core32_Int64 $s19
* @var ParagonIE_Sodium_Core32_Int64 $s20
* @var ParagonIE_Sodium_Core32_Int64 $s21
* @var ParagonIE_Sodium_Core32_Int64 $s22
* @var ParagonIE_Sodium_Core32_Int64 $s23
*/
$s0 = $c0->addInt64($a0->mulInt64($b0, 24));
$s1 = $c1->addInt64($a0->mulInt64($b1, 24))->addInt64($a1->mulInt64($b0, 24));
$s2 = $c2->addInt64($a0->mulInt64($b2, 24))->addInt64($a1->mulInt64($b1, 24))->addInt64($a2->mulInt64($b0, 24));
$s3 = $c3->addInt64($a0->mulInt64($b3, 24))->addInt64($a1->mulInt64($b2, 24))->addInt64($a2->mulInt64($b1, 24))
->addInt64($a3->mulInt64($b0, 24));
$s4 = $c4->addInt64($a0->mulInt64($b4, 24))->addInt64($a1->mulInt64($b3, 24))->addInt64($a2->mulInt64($b2, 24))
->addInt64($a3->mulInt64($b1, 24))->addInt64($a4->mulInt64($b0, 24));
$s5 = $c5->addInt64($a0->mulInt64($b5, 24))->addInt64($a1->mulInt64($b4, 24))->addInt64($a2->mulInt64($b3, 24))
->addInt64($a3->mulInt64($b2, 24))->addInt64($a4->mulInt64($b1, 24))->addInt64($a5->mulInt64($b0, 24));
$s6 = $c6->addInt64($a0->mulInt64($b6, 24))->addInt64($a1->mulInt64($b5, 24))->addInt64($a2->mulInt64($b4, 24))
->addInt64($a3->mulInt64($b3, 24))->addInt64($a4->mulInt64($b2, 24))->addInt64($a5->mulInt64($b1, 24))
->addInt64($a6->mulInt64($b0, 24));
$s7 = $c7->addInt64($a0->mulInt64($b7, 24))->addInt64($a1->mulInt64($b6, 24))->addInt64($a2->mulInt64($b5, 24))
->addInt64($a3->mulInt64($b4, 24))->addInt64($a4->mulInt64($b3, 24))->addInt64($a5->mulInt64($b2, 24))
->addInt64($a6->mulInt64($b1, 24))->addInt64($a7->mulInt64($b0, 24));
$s8 = $c8->addInt64($a0->mulInt64($b8, 24))->addInt64($a1->mulInt64($b7, 24))->addInt64($a2->mulInt64($b6, 24))
->addInt64($a3->mulInt64($b5, 24))->addInt64($a4->mulInt64($b4, 24))->addInt64($a5->mulInt64($b3, 24))
->addInt64($a6->mulInt64($b2, 24))->addInt64($a7->mulInt64($b1, 24))->addInt64($a8->mulInt64($b0, 24));
$s9 = $c9->addInt64($a0->mulInt64($b9, 24))->addInt64($a1->mulInt64($b8, 24))->addInt64($a2->mulInt64($b7, 24))
->addInt64($a3->mulInt64($b6, 24))->addInt64($a4->mulInt64($b5, 24))->addInt64($a5->mulInt64($b4, 24))
->addInt64($a6->mulInt64($b3, 24))->addInt64($a7->mulInt64($b2, 24))->addInt64($a8->mulInt64($b1, 24))
->addInt64($a9->mulInt64($b0, 24));
$s10 = $c10->addInt64($a0->mulInt64($b10, 24))->addInt64($a1->mulInt64($b9, 24))->addInt64($a2->mulInt64($b8, 24))
->addInt64($a3->mulInt64($b7, 24))->addInt64($a4->mulInt64($b6, 24))->addInt64($a5->mulInt64($b5, 24))
->addInt64($a6->mulInt64($b4, 24))->addInt64($a7->mulInt64($b3, 24))->addInt64($a8->mulInt64($b2, 24))
->addInt64($a9->mulInt64($b1, 24))->addInt64($a10->mulInt64($b0, 24));
$s11 = $c11->addInt64($a0->mulInt64($b11, 24))->addInt64($a1->mulInt64($b10, 24))->addInt64($a2->mulInt64($b9, 24))
->addInt64($a3->mulInt64($b8, 24))->addInt64($a4->mulInt64($b7, 24))->addInt64($a5->mulInt64($b6, 24))
->addInt64($a6->mulInt64($b5, 24))->addInt64($a7->mulInt64($b4, 24))->addInt64($a8->mulInt64($b3, 24))
->addInt64($a9->mulInt64($b2, 24))->addInt64($a10->mulInt64($b1, 24))->addInt64($a11->mulInt64($b0, 24));
$s12 = $a1->mulInt64($b11, 24)->addInt64($a2->mulInt64($b10, 24))->addInt64($a3->mulInt64($b9, 24))
->addInt64($a4->mulInt64($b8, 24))->addInt64($a5->mulInt64($b7, 24))->addInt64($a6->mulInt64($b6, 24))
->addInt64($a7->mulInt64($b5, 24))->addInt64($a8->mulInt64($b4, 24))->addInt64($a9->mulInt64($b3, 24))
->addInt64($a10->mulInt64($b2, 24))->addInt64($a11->mulInt64($b1, 24));
$s13 = $a2->mulInt64($b11, 24)->addInt64($a3->mulInt64($b10, 24))->addInt64($a4->mulInt64($b9, 24))
->addInt64($a5->mulInt64($b8, 24))->addInt64($a6->mulInt64($b7, 24))->addInt64($a7->mulInt64($b6, 24))
->addInt64($a8->mulInt64($b5, 24))->addInt64($a9->mulInt64($b4, 24))->addInt64($a10->mulInt64($b3, 24))
->addInt64($a11->mulInt64($b2, 24));
$s14 = $a3->mulInt64($b11, 24)->addInt64($a4->mulInt64($b10, 24))->addInt64($a5->mulInt64($b9, 24))
->addInt64($a6->mulInt64($b8, 24))->addInt64($a7->mulInt64($b7, 24))->addInt64($a8->mulInt64($b6, 24))
->addInt64($a9->mulInt64($b5, 24))->addInt64($a10->mulInt64($b4, 24))->addInt64($a11->mulInt64($b3, 24));
$s15 = $a4->mulInt64($b11, 24)->addInt64($a5->mulInt64($b10, 24))->addInt64($a6->mulInt64($b9, 24))
->addInt64($a7->mulInt64($b8, 24))->addInt64($a8->mulInt64($b7, 24))->addInt64($a9->mulInt64($b6, 24))
->addInt64($a10->mulInt64($b5, 24))->addInt64($a11->mulInt64($b4, 24));
$s16 = $a5->mulInt64($b11, 24)->addInt64($a6->mulInt64($b10, 24))->addInt64($a7->mulInt64($b9, 24))
->addInt64($a8->mulInt64($b8, 24))->addInt64($a9->mulInt64($b7, 24))->addInt64($a10->mulInt64($b6, 24))
->addInt64($a11->mulInt64($b5, 24));
$s17 = $a6->mulInt64($b11, 24)->addInt64($a7->mulInt64($b10, 24))->addInt64($a8->mulInt64($b9, 24))
->addInt64($a9->mulInt64($b8, 24))->addInt64($a10->mulInt64($b7, 24))->addInt64($a11->mulInt64($b6, 24));
$s18 = $a7->mulInt64($b11, 24)->addInt64($a8->mulInt64($b10, 24))->addInt64($a9->mulInt64($b9, 24))
->addInt64($a10->mulInt64($b8, 24))->addInt64($a11->mulInt64($b7, 24));
$s19 = $a8->mulInt64($b11, 24)->addInt64($a9->mulInt64($b10, 24))->addInt64($a10->mulInt64($b9, 24))
->addInt64($a11->mulInt64($b8, 24));
$s20 = $a9->mulInt64($b11, 24)->addInt64($a10->mulInt64($b10, 24))->addInt64($a11->mulInt64($b9, 24));
$s21 = $a10->mulInt64($b11, 24)->addInt64($a11->mulInt64($b10, 24));
$s22 = $a11->mulInt64($b11, 24);
$s23 = new ParagonIE_Sodium_Core32_Int64();
$carry0 = $s0->addInt(1 << 20)->shiftRight(21);
$s1 = $s1->addInt64($carry0);
$s0 = $s0->subInt64($carry0->shiftLeft(21));
$carry2 = $s2->addInt(1 << 20)->shiftRight(21);
$s3 = $s3->addInt64($carry2);
$s2 = $s2->subInt64($carry2->shiftLeft(21));
$carry4 = $s4->addInt(1 << 20)->shiftRight(21);
$s5 = $s5->addInt64($carry4);
$s4 = $s4->subInt64($carry4->shiftLeft(21));
$carry6 = $s6->addInt(1 << 20)->shiftRight(21);
$s7 = $s7->addInt64($carry6);
$s6 = $s6->subInt64($carry6->shiftLeft(21));
$carry8 = $s8->addInt(1 << 20)->shiftRight(21);
$s9 = $s9->addInt64($carry8);
$s8 = $s8->subInt64($carry8->shiftLeft(21));
$carry10 = $s10->addInt(1 << 20)->shiftRight(21);
$s11 = $s11->addInt64($carry10);
$s10 = $s10->subInt64($carry10->shiftLeft(21));
$carry12 = $s12->addInt(1 << 20)->shiftRight(21);
$s13 = $s13->addInt64($carry12);
$s12 = $s12->subInt64($carry12->shiftLeft(21));
$carry14 = $s14->addInt(1 << 20)->shiftRight(21);
$s15 = $s15->addInt64($carry14);
$s14 = $s14->subInt64($carry14->shiftLeft(21));
$carry16 = $s16->addInt(1 << 20)->shiftRight(21);
$s17 = $s17->addInt64($carry16);
$s16 = $s16->subInt64($carry16->shiftLeft(21));
$carry18 = $s18->addInt(1 << 20)->shiftRight(21);
$s19 = $s19->addInt64($carry18);
$s18 = $s18->subInt64($carry18->shiftLeft(21));
$carry20 = $s20->addInt(1 << 20)->shiftRight(21);
$s21 = $s21->addInt64($carry20);
$s20 = $s20->subInt64($carry20->shiftLeft(21));
$carry22 = $s22->addInt(1 << 20)->shiftRight(21);
$s23 = $s23->addInt64($carry22);
$s22 = $s22->subInt64($carry22->shiftLeft(21));
$carry1 = $s1->addInt(1 << 20)->shiftRight(21);
$s2 = $s2->addInt64($carry1);
$s1 = $s1->subInt64($carry1->shiftLeft(21));
$carry3 = $s3->addInt(1 << 20)->shiftRight(21);
$s4 = $s4->addInt64($carry3);
$s3 = $s3->subInt64($carry3->shiftLeft(21));
$carry5 = $s5->addInt(1 << 20)->shiftRight(21);
$s6 = $s6->addInt64($carry5);
$s5 = $s5->subInt64($carry5->shiftLeft(21));
$carry7 = $s7->addInt(1 << 20)->shiftRight(21);
$s8 = $s8->addInt64($carry7);
$s7 = $s7->subInt64($carry7->shiftLeft(21));
$carry9 = $s9->addInt(1 << 20)->shiftRight(21);
$s10 = $s10->addInt64($carry9);
$s9 = $s9->subInt64($carry9->shiftLeft(21));
$carry11 = $s11->addInt(1 << 20)->shiftRight(21);
$s12 = $s12->addInt64($carry11);
$s11 = $s11->subInt64($carry11->shiftLeft(21));
$carry13 = $s13->addInt(1 << 20)->shiftRight(21);
$s14 = $s14->addInt64($carry13);
$s13 = $s13->subInt64($carry13->shiftLeft(21));
$carry15 = $s15->addInt(1 << 20)->shiftRight(21);
$s16 = $s16->addInt64($carry15);
$s15 = $s15->subInt64($carry15->shiftLeft(21));
$carry17 = $s17->addInt(1 << 20)->shiftRight(21);
$s18 = $s18->addInt64($carry17);
$s17 = $s17->subInt64($carry17->shiftLeft(21));
$carry19 = $s19->addInt(1 << 20)->shiftRight(21);
$s20 = $s20->addInt64($carry19);
$s19 = $s19->subInt64($carry19->shiftLeft(21));
$carry21 = $s21->addInt(1 << 20)->shiftRight(21);
$s22 = $s22->addInt64($carry21);
$s21 = $s21->subInt64($carry21->shiftLeft(21));
$s11 = $s11->addInt64($s23->mulInt(666643, 20));
$s12 = $s12->addInt64($s23->mulInt(470296, 19));
$s13 = $s13->addInt64($s23->mulInt(654183, 20));
$s14 = $s14->subInt64($s23->mulInt(997805, 20));
$s15 = $s15->addInt64($s23->mulInt(136657, 18));
$s16 = $s16->subInt64($s23->mulInt(683901, 20));
$s10 = $s10->addInt64($s22->mulInt(666643, 20));
$s11 = $s11->addInt64($s22->mulInt(470296, 19));
$s12 = $s12->addInt64($s22->mulInt(654183, 20));
$s13 = $s13->subInt64($s22->mulInt(997805, 20));
$s14 = $s14->addInt64($s22->mulInt(136657, 18));
$s15 = $s15->subInt64($s22->mulInt(683901, 20));
$s9 = $s9->addInt64($s21->mulInt(666643, 20));
$s10 = $s10->addInt64($s21->mulInt(470296, 19));
$s11 = $s11->addInt64($s21->mulInt(654183, 20));
$s12 = $s12->subInt64($s21->mulInt(997805, 20));
$s13 = $s13->addInt64($s21->mulInt(136657, 18));
$s14 = $s14->subInt64($s21->mulInt(683901, 20));
$s8 = $s8->addInt64($s20->mulInt(666643, 20));
$s9 = $s9->addInt64($s20->mulInt(470296, 19));
$s10 = $s10->addInt64($s20->mulInt(654183, 20));
$s11 = $s11->subInt64($s20->mulInt(997805, 20));
$s12 = $s12->addInt64($s20->mulInt(136657, 18));
$s13 = $s13->subInt64($s20->mulInt(683901, 20));
$s7 = $s7->addInt64($s19->mulInt(666643, 20));
$s8 = $s8->addInt64($s19->mulInt(470296, 19));
$s9 = $s9->addInt64($s19->mulInt(654183, 20));
$s10 = $s10->subInt64($s19->mulInt(997805, 20));
$s11 = $s11->addInt64($s19->mulInt(136657, 18));
$s12 = $s12->subInt64($s19->mulInt(683901, 20));
$s6 = $s6->addInt64($s18->mulInt(666643, 20));
$s7 = $s7->addInt64($s18->mulInt(470296, 19));
$s8 = $s8->addInt64($s18->mulInt(654183, 20));
$s9 = $s9->subInt64($s18->mulInt(997805, 20));
$s10 = $s10->addInt64($s18->mulInt(136657, 18));
$s11 = $s11->subInt64($s18->mulInt(683901, 20));
$carry6 = $s6->addInt(1 << 20)->shiftRight(21);
$s7 = $s7->addInt64($carry6);
$s6 = $s6->subInt64($carry6->shiftLeft(21));
$carry8 = $s8->addInt(1 << 20)->shiftRight(21);
$s9 = $s9->addInt64($carry8);
$s8 = $s8->subInt64($carry8->shiftLeft(21));
$carry10 = $s10->addInt(1 << 20)->shiftRight(21);
$s11 = $s11->addInt64($carry10);
$s10 = $s10->subInt64($carry10->shiftLeft(21));
$carry12 = $s12->addInt(1 << 20)->shiftRight(21);
$s13 = $s13->addInt64($carry12);
$s12 = $s12->subInt64($carry12->shiftLeft(21));
$carry14 = $s14->addInt(1 << 20)->shiftRight(21);
$s15 = $s15->addInt64($carry14);
$s14 = $s14->subInt64($carry14->shiftLeft(21));
$carry16 = $s16->addInt(1 << 20)->shiftRight(21);
$s17 = $s17->addInt64($carry16);
$s16 = $s16->subInt64($carry16->shiftLeft(21));
$carry7 = $s7->addInt(1 << 20)->shiftRight(21);
$s8 = $s8->addInt64($carry7);
$s7 = $s7->subInt64($carry7->shiftLeft(21));
$carry9 = $s9->addInt(1 << 20)->shiftRight(21);
$s10 = $s10->addInt64($carry9);
$s9 = $s9->subInt64($carry9->shiftLeft(21));
$carry11 = $s11->addInt(1 << 20)->shiftRight(21);
$s12 = $s12->addInt64($carry11);
$s11 = $s11->subInt64($carry11->shiftLeft(21));
$carry13 = $s13->addInt(1 << 20)->shiftRight(21);
$s14 = $s14->addInt64($carry13);
$s13 = $s13->subInt64($carry13->shiftLeft(21));
$carry15 = $s15->addInt(1 << 20)->shiftRight(21);
$s16 = $s16->addInt64($carry15);
$s15 = $s15->subInt64($carry15->shiftLeft(21));
$s5 = $s5->addInt64($s17->mulInt(666643, 20));
$s6 = $s6->addInt64($s17->mulInt(470296, 19));
$s7 = $s7->addInt64($s17->mulInt(654183, 20));
$s8 = $s8->subInt64($s17->mulInt(997805, 20));
$s9 = $s9->addInt64($s17->mulInt(136657, 18));
$s10 = $s10->subInt64($s17->mulInt(683901, 20));
$s4 = $s4->addInt64($s16->mulInt(666643, 20));
$s5 = $s5->addInt64($s16->mulInt(470296, 19));
$s6 = $s6->addInt64($s16->mulInt(654183, 20));
$s7 = $s7->subInt64($s16->mulInt(997805, 20));
$s8 = $s8->addInt64($s16->mulInt(136657, 18));
$s9 = $s9->subInt64($s16->mulInt(683901, 20));
$s3 = $s3->addInt64($s15->mulInt(666643, 20));
$s4 = $s4->addInt64($s15->mulInt(470296, 19));
$s5 = $s5->addInt64($s15->mulInt(654183, 20));
$s6 = $s6->subInt64($s15->mulInt(997805, 20));
$s7 = $s7->addInt64($s15->mulInt(136657, 18));
$s8 = $s8->subInt64($s15->mulInt(683901, 20));
$s2 = $s2->addInt64($s14->mulInt(666643, 20));
$s3 = $s3->addInt64($s14->mulInt(470296, 19));
$s4 = $s4->addInt64($s14->mulInt(654183, 20));
$s5 = $s5->subInt64($s14->mulInt(997805, 20));
$s6 = $s6->addInt64($s14->mulInt(136657, 18));
$s7 = $s7->subInt64($s14->mulInt(683901, 20));
$s1 = $s1->addInt64($s13->mulInt(666643, 20));
$s2 = $s2->addInt64($s13->mulInt(470296, 19));
$s3 = $s3->addInt64($s13->mulInt(654183, 20));
$s4 = $s4->subInt64($s13->mulInt(997805, 20));
$s5 = $s5->addInt64($s13->mulInt(136657, 18));
$s6 = $s6->subInt64($s13->mulInt(683901, 20));
$s0 = $s0->addInt64($s12->mulInt(666643, 20));
$s1 = $s1->addInt64($s12->mulInt(470296, 19));
$s2 = $s2->addInt64($s12->mulInt(654183, 20));
$s3 = $s3->subInt64($s12->mulInt(997805, 20));
$s4 = $s4->addInt64($s12->mulInt(136657, 18));
$s5 = $s5->subInt64($s12->mulInt(683901, 20));
$s12 = new ParagonIE_Sodium_Core32_Int64();
$carry0 = $s0->addInt(1 << 20)->shiftRight(21);
$s1 = $s1->addInt64($carry0);
$s0 = $s0->subInt64($carry0->shiftLeft(21));
$carry2 = $s2->addInt(1 << 20)->shiftRight(21);
$s3 = $s3->addInt64($carry2);
$s2 = $s2->subInt64($carry2->shiftLeft(21));
$carry4 = $s4->addInt(1 << 20)->shiftRight(21);
$s5 = $s5->addInt64($carry4);
$s4 = $s4->subInt64($carry4->shiftLeft(21));
$carry6 = $s6->addInt(1 << 20)->shiftRight(21);
$s7 = $s7->addInt64($carry6);
$s6 = $s6->subInt64($carry6->shiftLeft(21));
$carry8 = $s8->addInt(1 << 20)->shiftRight(21);
$s9 = $s9->addInt64($carry8);
$s8 = $s8->subInt64($carry8->shiftLeft(21));
$carry10 = $s10->addInt(1 << 20)->shiftRight(21);
$s11 = $s11->addInt64($carry10);
$s10 = $s10->subInt64($carry10->shiftLeft(21));
$carry1 = $s1->addInt(1 << 20)->shiftRight(21);
$s2 = $s2->addInt64($carry1);
$s1 = $s1->subInt64($carry1->shiftLeft(21));
$carry3 = $s3->addInt(1 << 20)->shiftRight(21);
$s4 = $s4->addInt64($carry3);
$s3 = $s3->subInt64($carry3->shiftLeft(21));
$carry5 = $s5->addInt(1 << 20)->shiftRight(21);
$s6 = $s6->addInt64($carry5);
$s5 = $s5->subInt64($carry5->shiftLeft(21));
$carry7 = $s7->addInt(1 << 20)->shiftRight(21);
$s8 = $s8->addInt64($carry7);
$s7 = $s7->subInt64($carry7->shiftLeft(21));
$carry9 = $s9->addInt(1 << 20)->shiftRight(21);
$s10 = $s10->addInt64($carry9);
$s9 = $s9->subInt64($carry9->shiftLeft(21));
$carry11 = $s11->addInt(1 << 20)->shiftRight(21);
$s12 = $s12->addInt64($carry11);
$s11 = $s11->subInt64($carry11->shiftLeft(21));
$s0 = $s0->addInt64($s12->mulInt(666643, 20));
$s1 = $s1->addInt64($s12->mulInt(470296, 19));
$s2 = $s2->addInt64($s12->mulInt(654183, 20));
$s3 = $s3->subInt64($s12->mulInt(997805, 20));
$s4 = $s4->addInt64($s12->mulInt(136657, 18));
$s5 = $s5->subInt64($s12->mulInt(683901, 20));
$s12 = new ParagonIE_Sodium_Core32_Int64();
$carry0 = $s0->shiftRight(21);
$s1 = $s1->addInt64($carry0);
$s0 = $s0->subInt64($carry0->shiftLeft(21));
$carry1 = $s1->shiftRight(21);
$s2 = $s2->addInt64($carry1);
$s1 = $s1->subInt64($carry1->shiftLeft(21));
$carry2 = $s2->shiftRight(21);
$s3 = $s3->addInt64($carry2);
$s2 = $s2->subInt64($carry2->shiftLeft(21));
$carry3 = $s3->shiftRight(21);
$s4 = $s4->addInt64($carry3);
$s3 = $s3->subInt64($carry3->shiftLeft(21));
$carry4 = $s4->shiftRight(21);
$s5 = $s5->addInt64($carry4);
$s4 = $s4->subInt64($carry4->shiftLeft(21));
$carry5 = $s5->shiftRight(21);
$s6 = $s6->addInt64($carry5);
$s5 = $s5->subInt64($carry5->shiftLeft(21));
$carry6 = $s6->shiftRight(21);
$s7 = $s7->addInt64($carry6);
$s6 = $s6->subInt64($carry6->shiftLeft(21));
$carry7 = $s7->shiftRight(21);
$s8 = $s8->addInt64($carry7);
$s7 = $s7->subInt64($carry7->shiftLeft(21));
$carry8 = $s8->shiftRight(21);
$s9 = $s9->addInt64($carry8);
$s8 = $s8->subInt64($carry8->shiftLeft(21));
$carry9 = $s9->shiftRight(21);
$s10 = $s10->addInt64($carry9);
$s9 = $s9->subInt64($carry9->shiftLeft(21));
$carry10 = $s10->shiftRight(21);
$s11 = $s11->addInt64($carry10);
$s10 = $s10->subInt64($carry10->shiftLeft(21));
$carry11 = $s11->shiftRight(21);
$s12 = $s12->addInt64($carry11);
$s11 = $s11->subInt64($carry11->shiftLeft(21));
$s0 = $s0->addInt64($s12->mulInt(666643, 20));
$s1 = $s1->addInt64($s12->mulInt(470296, 19));
$s2 = $s2->addInt64($s12->mulInt(654183, 20));
$s3 = $s3->subInt64($s12->mulInt(997805, 20));
$s4 = $s4->addInt64($s12->mulInt(136657, 18));
$s5 = $s5->subInt64($s12->mulInt(683901, 20));
$carry0 = $s0->shiftRight(21);
$s1 = $s1->addInt64($carry0);
$s0 = $s0->subInt64($carry0->shiftLeft(21));
$carry1 = $s1->shiftRight(21);
$s2 = $s2->addInt64($carry1);
$s1 = $s1->subInt64($carry1->shiftLeft(21));
$carry2 = $s2->shiftRight(21);
$s3 = $s3->addInt64($carry2);
$s2 = $s2->subInt64($carry2->shiftLeft(21));
$carry3 = $s3->shiftRight(21);
$s4 = $s4->addInt64($carry3);
$s3 = $s3->subInt64($carry3->shiftLeft(21));
$carry4 = $s4->shiftRight(21);
$s5 = $s5->addInt64($carry4);
$s4 = $s4->subInt64($carry4->shiftLeft(21));
$carry5 = $s5->shiftRight(21);
$s6 = $s6->addInt64($carry5);
$s5 = $s5->subInt64($carry5->shiftLeft(21));
$carry6 = $s6->shiftRight(21);
$s7 = $s7->addInt64($carry6);
$s6 = $s6->subInt64($carry6->shiftLeft(21));
$carry7 = $s7->shiftRight(21);
$s8 = $s8->addInt64($carry7);
$s7 = $s7->subInt64($carry7->shiftLeft(21));
$carry8 = $s10->shiftRight(21);
$s9 = $s9->addInt64($carry8);
$s8 = $s8->subInt64($carry8->shiftLeft(21));
$carry9 = $s9->shiftRight(21);
$s10 = $s10->addInt64($carry9);
$s9 = $s9->subInt64($carry9->shiftLeft(21));
$carry10 = $s10->shiftRight(21);
$s11 = $s11->addInt64($carry10);
$s10 = $s10->subInt64($carry10->shiftLeft(21));
$S0 = $s0->toInt();
$S1 = $s1->toInt();
$S2 = $s2->toInt();
$S3 = $s3->toInt();
$S4 = $s4->toInt();
$S5 = $s5->toInt();
$S6 = $s6->toInt();
$S7 = $s7->toInt();
$S8 = $s8->toInt();
$S9 = $s9->toInt();
$S10 = $s10->toInt();
$S11 = $s11->toInt();
/**
* @var array<int, int>
*/
$arr = array(
(int) (0xff & ($S0 >> 0)),
(int) (0xff & ($S0 >> 8)),
(int) (0xff & (($S0 >> 16) | ($S1 << 5))),
(int) (0xff & ($S1 >> 3)),
(int) (0xff & ($S1 >> 11)),
(int) (0xff & (($S1 >> 19) | ($S2 << 2))),
(int) (0xff & ($S2 >> 6)),
(int) (0xff & (($S2 >> 14) | ($S3 << 7))),
(int) (0xff & ($S3 >> 1)),
(int) (0xff & ($S3 >> 9)),
(int) (0xff & (($S3 >> 17) | ($S4 << 4))),
(int) (0xff & ($S4 >> 4)),
(int) (0xff & ($S4 >> 12)),
(int) (0xff & (($S4 >> 20) | ($S5 << 1))),
(int) (0xff & ($S5 >> 7)),
(int) (0xff & (($S5 >> 15) | ($S6 << 6))),
(int) (0xff & ($S6 >> 2)),
(int) (0xff & ($S6 >> 10)),
(int) (0xff & (($S6 >> 18) | ($S7 << 3))),
(int) (0xff & ($S7 >> 5)),
(int) (0xff & ($S7 >> 13)),
(int) (0xff & ($S8 >> 0)),
(int) (0xff & ($S8 >> 8)),
(int) (0xff & (($S8 >> 16) | ($S9 << 5))),
(int) (0xff & ($S9 >> 3)),
(int) (0xff & ($S9 >> 11)),
(int) (0xff & (($S9 >> 19) | ($S10 << 2))),
(int) (0xff & ($S10 >> 6)),
(int) (0xff & (($S10 >> 14) | ($S11 << 7))),
(int) (0xff & ($S11 >> 1)),
(int) (0xff & ($S11 >> 9)),
(int) (0xff & ($S11 >> 17))
);
return self::intArrayToString($arr);
}
/**
* @internal You should not use this directly from another application
*
* @param string $s
* @return string
* @throws SodiumException
* @throws TypeError
*/
public static function sc_reduce($s)
{
/**
* @var ParagonIE_Sodium_Core32_Int64 $s0
* @var ParagonIE_Sodium_Core32_Int64 $s1
* @var ParagonIE_Sodium_Core32_Int64 $s2
* @var ParagonIE_Sodium_Core32_Int64 $s3
* @var ParagonIE_Sodium_Core32_Int64 $s4
* @var ParagonIE_Sodium_Core32_Int64 $s5
* @var ParagonIE_Sodium_Core32_Int64 $s6
* @var ParagonIE_Sodium_Core32_Int64 $s7
* @var ParagonIE_Sodium_Core32_Int64 $s8
* @var ParagonIE_Sodium_Core32_Int64 $s9
* @var ParagonIE_Sodium_Core32_Int64 $s10
* @var ParagonIE_Sodium_Core32_Int64 $s11
* @var ParagonIE_Sodium_Core32_Int64 $s12
* @var ParagonIE_Sodium_Core32_Int64 $s13
* @var ParagonIE_Sodium_Core32_Int64 $s14
* @var ParagonIE_Sodium_Core32_Int64 $s15
* @var ParagonIE_Sodium_Core32_Int64 $s16
* @var ParagonIE_Sodium_Core32_Int64 $s17
* @var ParagonIE_Sodium_Core32_Int64 $s18
* @var ParagonIE_Sodium_Core32_Int64 $s19
* @var ParagonIE_Sodium_Core32_Int64 $s20
* @var ParagonIE_Sodium_Core32_Int64 $s21
* @var ParagonIE_Sodium_Core32_Int64 $s22
* @var ParagonIE_Sodium_Core32_Int64 $s23
*/
$s0 = ParagonIE_Sodium_Core32_Int64::fromInt(2097151 & self::load_3(self::substr($s, 0, 3)));
$s1 = ParagonIE_Sodium_Core32_Int64::fromInt(2097151 & (self::load_4(self::substr($s, 2, 4)) >> 5));
$s2 = ParagonIE_Sodium_Core32_Int64::fromInt(2097151 & (self::load_3(self::substr($s, 5, 3)) >> 2));
$s3 = ParagonIE_Sodium_Core32_Int64::fromInt(2097151 & (self::load_4(self::substr($s, 7, 4)) >> 7));
$s4 = ParagonIE_Sodium_Core32_Int64::fromInt(2097151 & (self::load_4(self::substr($s, 10, 4)) >> 4));
$s5 = ParagonIE_Sodium_Core32_Int64::fromInt(2097151 & (self::load_3(self::substr($s, 13, 3)) >> 1));
$s6 = ParagonIE_Sodium_Core32_Int64::fromInt(2097151 & (self::load_4(self::substr($s, 15, 4)) >> 6));
$s7 = ParagonIE_Sodium_Core32_Int64::fromInt(2097151 & (self::load_3(self::substr($s, 18, 4)) >> 3));
$s8 = ParagonIE_Sodium_Core32_Int64::fromInt(2097151 & self::load_3(self::substr($s, 21, 3)));
$s9 = ParagonIE_Sodium_Core32_Int64::fromInt(2097151 & (self::load_4(self::substr($s, 23, 4)) >> 5));
$s10 = ParagonIE_Sodium_Core32_Int64::fromInt(2097151 & (self::load_3(self::substr($s, 26, 3)) >> 2));
$s11 = ParagonIE_Sodium_Core32_Int64::fromInt(2097151 & (self::load_4(self::substr($s, 28, 4)) >> 7));
$s12 = ParagonIE_Sodium_Core32_Int64::fromInt(2097151 & (self::load_4(self::substr($s, 31, 4)) >> 4));
$s13 = ParagonIE_Sodium_Core32_Int64::fromInt(2097151 & (self::load_3(self::substr($s, 34, 3)) >> 1));
$s14 = ParagonIE_Sodium_Core32_Int64::fromInt(2097151 & (self::load_4(self::substr($s, 36, 4)) >> 6));
$s15 = ParagonIE_Sodium_Core32_Int64::fromInt(2097151 & (self::load_3(self::substr($s, 39, 4)) >> 3));
$s16 = ParagonIE_Sodium_Core32_Int64::fromInt(2097151 & self::load_3(self::substr($s, 42, 3)));
$s17 = ParagonIE_Sodium_Core32_Int64::fromInt(2097151 & (self::load_4(self::substr($s, 44, 4)) >> 5));
$s18 = ParagonIE_Sodium_Core32_Int64::fromInt(2097151 & (self::load_3(self::substr($s, 47, 3)) >> 2));
$s19 = ParagonIE_Sodium_Core32_Int64::fromInt(2097151 & (self::load_4(self::substr($s, 49, 4)) >> 7));
$s20 = ParagonIE_Sodium_Core32_Int64::fromInt(2097151 & (self::load_4(self::substr($s, 52, 4)) >> 4));
$s21 = ParagonIE_Sodium_Core32_Int64::fromInt(2097151 & (self::load_3(self::substr($s, 55, 3)) >> 1));
$s22 = ParagonIE_Sodium_Core32_Int64::fromInt(2097151 & (self::load_4(self::substr($s, 57, 4)) >> 6));
$s23 = ParagonIE_Sodium_Core32_Int64::fromInt(0x1fffffff & (self::load_4(self::substr($s, 60, 4)) >> 3));
$s11 = $s11->addInt64($s23->mulInt(666643, 20));
$s12 = $s12->addInt64($s23->mulInt(470296, 19));
$s13 = $s13->addInt64($s23->mulInt(654183, 20));
$s14 = $s14->subInt64($s23->mulInt(997805, 20));
$s15 = $s15->addInt64($s23->mulInt(136657, 18));
$s16 = $s16->subInt64($s23->mulInt(683901, 20));
$s10 = $s10->addInt64($s22->mulInt(666643, 20));
$s11 = $s11->addInt64($s22->mulInt(470296, 19));
$s12 = $s12->addInt64($s22->mulInt(654183, 20));
$s13 = $s13->subInt64($s22->mulInt(997805, 20));
$s14 = $s14->addInt64($s22->mulInt(136657, 18));
$s15 = $s15->subInt64($s22->mulInt(683901, 20));
$s9 = $s9->addInt64($s21->mulInt(666643, 20));
$s10 = $s10->addInt64($s21->mulInt(470296, 19));
$s11 = $s11->addInt64($s21->mulInt(654183, 20));
$s12 = $s12->subInt64($s21->mulInt(997805, 20));
$s13 = $s13->addInt64($s21->mulInt(136657, 18));
$s14 = $s14->subInt64($s21->mulInt(683901, 20));
$s8 = $s8->addInt64($s20->mulInt(666643, 20));
$s9 = $s9->addInt64($s20->mulInt(470296, 19));
$s10 = $s10->addInt64($s20->mulInt(654183, 20));
$s11 = $s11->subInt64($s20->mulInt(997805, 20));
$s12 = $s12->addInt64($s20->mulInt(136657, 18));
$s13 = $s13->subInt64($s20->mulInt(683901, 20));
$s7 = $s7->addInt64($s19->mulInt(666643, 20));
$s8 = $s8->addInt64($s19->mulInt(470296, 19));
$s9 = $s9->addInt64($s19->mulInt(654183, 20));
$s10 = $s10->subInt64($s19->mulInt(997805, 20));
$s11 = $s11->addInt64($s19->mulInt(136657, 18));
$s12 = $s12->subInt64($s19->mulInt(683901, 20));
$s6 = $s6->addInt64($s18->mulInt(666643, 20));
$s7 = $s7->addInt64($s18->mulInt(470296, 19));
$s8 = $s8->addInt64($s18->mulInt(654183, 20));
$s9 = $s9->subInt64($s18->mulInt(997805, 20));
$s10 = $s10->addInt64($s18->mulInt(136657, 18));
$s11 = $s11->subInt64($s18->mulInt(683901, 20));
$carry6 = $s6->addInt(1 << 20)->shiftRight(21);
$s7 = $s7->addInt64($carry6);
$s6 = $s6->subInt64($carry6->shiftLeft(21));
$carry8 = $s8->addInt(1 << 20)->shiftRight(21);
$s9 = $s9->addInt64($carry8);
$s8 = $s8->subInt64($carry8->shiftLeft(21));
$carry10 = $s10->addInt(1 << 20)->shiftRight(21);
$s11 = $s11->addInt64($carry10);
$s10 = $s10->subInt64($carry10->shiftLeft(21));
$carry12 = $s12->addInt(1 << 20)->shiftRight(21);
$s13 = $s13->addInt64($carry12);
$s12 = $s12->subInt64($carry12->shiftLeft(21));
$carry14 = $s14->addInt(1 << 20)->shiftRight(21);
$s15 = $s15->addInt64($carry14);
$s14 = $s14->subInt64($carry14->shiftLeft(21));
$carry16 = $s16->addInt(1 << 20)->shiftRight(21);
$s17 = $s17->addInt64($carry16);
$s16 = $s16->subInt64($carry16->shiftLeft(21));
$carry7 = $s7->addInt(1 << 20)->shiftRight(21);
$s8 = $s8->addInt64($carry7);
$s7 = $s7->subInt64($carry7->shiftLeft(21));
$carry9 = $s9->addInt(1 << 20)->shiftRight(21);
$s10 = $s10->addInt64($carry9);
$s9 = $s9->subInt64($carry9->shiftLeft(21));
$carry11 = $s11->addInt(1 << 20)->shiftRight(21);
$s12 = $s12->addInt64($carry11);
$s11 = $s11->subInt64($carry11->shiftLeft(21));
$carry13 = $s13->addInt(1 << 20)->shiftRight(21);
$s14 = $s14->addInt64($carry13);
$s13 = $s13->subInt64($carry13->shiftLeft(21));
$carry15 = $s15->addInt(1 << 20)->shiftRight(21);
$s16 = $s16->addInt64($carry15);
$s15 = $s15->subInt64($carry15->shiftLeft(21));
$s5 = $s5->addInt64($s17->mulInt(666643, 20));
$s6 = $s6->addInt64($s17->mulInt(470296, 19));
$s7 = $s7->addInt64($s17->mulInt(654183, 20));
$s8 = $s8->subInt64($s17->mulInt(997805, 20));
$s9 = $s9->addInt64($s17->mulInt(136657, 18));
$s10 = $s10->subInt64($s17->mulInt(683901, 20));
$s4 = $s4->addInt64($s16->mulInt(666643, 20));
$s5 = $s5->addInt64($s16->mulInt(470296, 19));
$s6 = $s6->addInt64($s16->mulInt(654183, 20));
$s7 = $s7->subInt64($s16->mulInt(997805, 20));
$s8 = $s8->addInt64($s16->mulInt(136657, 18));
$s9 = $s9->subInt64($s16->mulInt(683901, 20));
$s3 = $s3->addInt64($s15->mulInt(666643, 20));
$s4 = $s4->addInt64($s15->mulInt(470296, 19));
$s5 = $s5->addInt64($s15->mulInt(654183, 20));
$s6 = $s6->subInt64($s15->mulInt(997805, 20));
$s7 = $s7->addInt64($s15->mulInt(136657, 18));
$s8 = $s8->subInt64($s15->mulInt(683901, 20));
$s2 = $s2->addInt64($s14->mulInt(666643, 20));
$s3 = $s3->addInt64($s14->mulInt(470296, 19));
$s4 = $s4->addInt64($s14->mulInt(654183, 20));
$s5 = $s5->subInt64($s14->mulInt(997805, 20));
$s6 = $s6->addInt64($s14->mulInt(136657, 18));
$s7 = $s7->subInt64($s14->mulInt(683901, 20));
$s1 = $s1->addInt64($s13->mulInt(666643, 20));
$s2 = $s2->addInt64($s13->mulInt(470296, 19));
$s3 = $s3->addInt64($s13->mulInt(654183, 20));
$s4 = $s4->subInt64($s13->mulInt(997805, 20));
$s5 = $s5->addInt64($s13->mulInt(136657, 18));
$s6 = $s6->subInt64($s13->mulInt(683901, 20));
$s0 = $s0->addInt64($s12->mulInt(666643, 20));
$s1 = $s1->addInt64($s12->mulInt(470296, 19));
$s2 = $s2->addInt64($s12->mulInt(654183, 20));
$s3 = $s3->subInt64($s12->mulInt(997805, 20));
$s4 = $s4->addInt64($s12->mulInt(136657, 18));
$s5 = $s5->subInt64($s12->mulInt(683901, 20));
$s12 = new ParagonIE_Sodium_Core32_Int64();
$carry0 = $s0->addInt(1 << 20)->shiftRight(21);
$s1 = $s1->addInt64($carry0);
$s0 = $s0->subInt64($carry0->shiftLeft(21));
$carry2 = $s2->addInt(1 << 20)->shiftRight(21);
$s3 = $s3->addInt64($carry2);
$s2 = $s2->subInt64($carry2->shiftLeft(21));
$carry4 = $s4->addInt(1 << 20)->shiftRight(21);
$s5 = $s5->addInt64($carry4);
$s4 = $s4->subInt64($carry4->shiftLeft(21));
$carry6 = $s6->addInt(1 << 20)->shiftRight(21);
$s7 = $s7->addInt64($carry6);
$s6 = $s6->subInt64($carry6->shiftLeft(21));
$carry8 = $s8->addInt(1 << 20)->shiftRight(21);
$s9 = $s9->addInt64($carry8);
$s8 = $s8->subInt64($carry8->shiftLeft(21));
$carry10 = $s10->addInt(1 << 20)->shiftRight(21);
$s11 = $s11->addInt64($carry10);
$s10 = $s10->subInt64($carry10->shiftLeft(21));
$carry1 = $s1->addInt(1 << 20)->shiftRight(21);
$s2 = $s2->addInt64($carry1);
$s1 = $s1->subInt64($carry1->shiftLeft(21));
$carry3 = $s3->addInt(1 << 20)->shiftRight(21);
$s4 = $s4->addInt64($carry3);
$s3 = $s3->subInt64($carry3->shiftLeft(21));
$carry5 = $s5->addInt(1 << 20)->shiftRight(21);
$s6 = $s6->addInt64($carry5);
$s5 = $s5->subInt64($carry5->shiftLeft(21));
$carry7 = $s7->addInt(1 << 20)->shiftRight(21);
$s8 = $s8->addInt64($carry7);
$s7 = $s7->subInt64($carry7->shiftLeft(21));
$carry9 = $s9->addInt(1 << 20)->shiftRight(21);
$s10 = $s10->addInt64($carry9);
$s9 = $s9->subInt64($carry9->shiftLeft(21));
$carry11 = $s11->addInt(1 << 20)->shiftRight(21);
$s12 = $s12->addInt64($carry11);
$s11 = $s11->subInt64($carry11->shiftLeft(21));
$s0 = $s0->addInt64($s12->mulInt(666643, 20));
$s1 = $s1->addInt64($s12->mulInt(470296, 19));
$s2 = $s2->addInt64($s12->mulInt(654183, 20));
$s3 = $s3->subInt64($s12->mulInt(997805, 20));
$s4 = $s4->addInt64($s12->mulInt(136657, 18));
$s5 = $s5->subInt64($s12->mulInt(683901, 20));
$s12 = new ParagonIE_Sodium_Core32_Int64();
$carry0 = $s0->shiftRight(21);
$s1 = $s1->addInt64($carry0);
$s0 = $s0->subInt64($carry0->shiftLeft(21));
$carry1 = $s1->shiftRight(21);
$s2 = $s2->addInt64($carry1);
$s1 = $s1->subInt64($carry1->shiftLeft(21));
$carry2 = $s2->shiftRight(21);
$s3 = $s3->addInt64($carry2);
$s2 = $s2->subInt64($carry2->shiftLeft(21));
$carry3 = $s3->shiftRight(21);
$s4 = $s4->addInt64($carry3);
$s3 = $s3->subInt64($carry3->shiftLeft(21));
$carry4 = $s4->shiftRight(21);
$s5 = $s5->addInt64($carry4);
$s4 = $s4->subInt64($carry4->shiftLeft(21));
$carry5 = $s5->shiftRight(21);
$s6 = $s6->addInt64($carry5);
$s5 = $s5->subInt64($carry5->shiftLeft(21));
$carry6 = $s6->shiftRight(21);
$s7 = $s7->addInt64($carry6);
$s6 = $s6->subInt64($carry6->shiftLeft(21));
$carry7 = $s7->shiftRight(21);
$s8 = $s8->addInt64($carry7);
$s7 = $s7->subInt64($carry7->shiftLeft(21));
$carry8 = $s8->shiftRight(21);
$s9 = $s9->addInt64($carry8);
$s8 = $s8->subInt64($carry8->shiftLeft(21));
$carry9 = $s9->shiftRight(21);
$s10 = $s10->addInt64($carry9);
$s9 = $s9->subInt64($carry9->shiftLeft(21));
$carry10 = $s10->shiftRight(21);
$s11 = $s11->addInt64($carry10);
$s10 = $s10->subInt64($carry10->shiftLeft(21));
$carry11 = $s11->shiftRight(21);
$s12 = $s12->addInt64($carry11);
$s11 = $s11->subInt64($carry11->shiftLeft(21));
$s0 = $s0->addInt64($s12->mulInt(666643, 20));
$s1 = $s1->addInt64($s12->mulInt(470296, 19));
$s2 = $s2->addInt64($s12->mulInt(654183, 20));
$s3 = $s3->subInt64($s12->mulInt(997805, 20));
$s4 = $s4->addInt64($s12->mulInt(136657, 18));
$s5 = $s5->subInt64($s12->mulInt(683901, 20));
$carry0 = $s0->shiftRight(21);
$s1 = $s1->addInt64($carry0);
$s0 = $s0->subInt64($carry0->shiftLeft(21));
$carry1 = $s1->shiftRight(21);
$s2 = $s2->addInt64($carry1);
$s1 = $s1->subInt64($carry1->shiftLeft(21));
$carry2 = $s2->shiftRight(21);
$s3 = $s3->addInt64($carry2);
$s2 = $s2->subInt64($carry2->shiftLeft(21));
$carry3 = $s3->shiftRight(21);
$s4 = $s4->addInt64($carry3);
$s3 = $s3->subInt64($carry3->shiftLeft(21));
$carry4 = $s4->shiftRight(21);
$s5 = $s5->addInt64($carry4);
$s4 = $s4->subInt64($carry4->shiftLeft(21));
$carry5 = $s5->shiftRight(21);
$s6 = $s6->addInt64($carry5);
$s5 = $s5->subInt64($carry5->shiftLeft(21));
$carry6 = $s6->shiftRight(21);
$s7 = $s7->addInt64($carry6);
$s6 = $s6->subInt64($carry6->shiftLeft(21));
$carry7 = $s7->shiftRight(21);
$s8 = $s8->addInt64($carry7);
$s7 = $s7->subInt64($carry7->shiftLeft(21));
$carry8 = $s8->shiftRight(21);
$s9 = $s9->addInt64($carry8);
$s8 = $s8->subInt64($carry8->shiftLeft(21));
$carry9 = $s9->shiftRight(21);
$s10 = $s10->addInt64($carry9);
$s9 = $s9->subInt64($carry9->shiftLeft(21));
$carry10 = $s10->shiftRight(21);
$s11 = $s11->addInt64($carry10);
$s10 = $s10->subInt64($carry10->shiftLeft(21));
$S0 = $s0->toInt32()->toInt();
$S1 = $s1->toInt32()->toInt();
$S2 = $s2->toInt32()->toInt();
$S3 = $s3->toInt32()->toInt();
$S4 = $s4->toInt32()->toInt();
$S5 = $s5->toInt32()->toInt();
$S6 = $s6->toInt32()->toInt();
$S7 = $s7->toInt32()->toInt();
$S8 = $s8->toInt32()->toInt();
$S9 = $s9->toInt32()->toInt();
$S10 = $s10->toInt32()->toInt();
$S11 = $s11->toInt32()->toInt();
/**
* @var array<int, int>
*/
$arr = array(
(int) ($S0 >> 0),
(int) ($S0 >> 8),
(int) (($S0 >> 16) | ($S1 << 5)),
(int) ($S1 >> 3),
(int) ($S1 >> 11),
(int) (($S1 >> 19) | ($S2 << 2)),
(int) ($S2 >> 6),
(int) (($S2 >> 14) | ($S3 << 7)),
(int) ($S3 >> 1),
(int) ($S3 >> 9),
(int) (($S3 >> 17) | ($S4 << 4)),
(int) ($S4 >> 4),
(int) ($S4 >> 12),
(int) (($S4 >> 20) | ($S5 << 1)),
(int) ($S5 >> 7),
(int) (($S5 >> 15) | ($S6 << 6)),
(int) ($S6 >> 2),
(int) ($S6 >> 10),
(int) (($S6 >> 18) | ($S7 << 3)),
(int) ($S7 >> 5),
(int) ($S7 >> 13),
(int) ($S8 >> 0),
(int) ($S8 >> 8),
(int) (($S8 >> 16) | ($S9 << 5)),
(int) ($S9 >> 3),
(int) ($S9 >> 11),
(int) (($S9 >> 19) | ($S10 << 2)),
(int) ($S10 >> 6),
(int) (($S10 >> 14) | ($S11 << 7)),
(int) ($S11 >> 1),
(int) ($S11 >> 9),
(int) $S11 >> 17
);
return self::intArrayToString($arr);
}
/**
* multiply by the order of the main subgroup l = 2^252+27742317777372353535851937790883648493
*
* @param ParagonIE_Sodium_Core32_Curve25519_Ge_P3 $A
* @return ParagonIE_Sodium_Core32_Curve25519_Ge_P3
* @throws SodiumException
* @throws TypeError
*/
public static function ge_mul_l(ParagonIE_Sodium_Core32_Curve25519_Ge_P3 $A)
{
$aslide = array(
13, 0, 0, 0, 0, -1, 0, 0, 0, 0, -11, 0, 0, 0, 0, 0, 0, -5, 0, 0, 0,
0, 0, 0, -3, 0, 0, 0, 0, -13, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 3, 0,
0, 0, 0, -13, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 11, 0, 0, 0,
0, 0, 11, 0, 0, 0, 0, -13, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, -1,
0, 0, 0, 0, 3, 0, 0, 0, 0, -11, 0, 0, 0, 0, 0, 0, 0, 15, 0, 0, 0,
0, 0, -1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 7, 0, 0, 0, 0, 5, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1
);
/** @var array<int, ParagonIE_Sodium_Core32_Curve25519_Ge_Cached> $Ai size 8 */
$Ai = array();
# ge_p3_to_cached(&Ai[0], A);
$Ai[0] = self::ge_p3_to_cached($A);
# ge_p3_dbl(&t, A);
$t = self::ge_p3_dbl($A);
# ge_p1p1_to_p3(&A2, &t);
$A2 = self::ge_p1p1_to_p3($t);
for ($i = 1; $i < 8; ++$i) {
# ge_add(&t, &A2, &Ai[0]);
$t = self::ge_add($A2, $Ai[$i - 1]);
# ge_p1p1_to_p3(&u, &t);
$u = self::ge_p1p1_to_p3($t);
# ge_p3_to_cached(&Ai[i], &u);
$Ai[$i] = self::ge_p3_to_cached($u);
}
$r = self::ge_p3_0();
for ($i = 252; $i >= 0; --$i) {
$t = self::ge_p3_dbl($r);
if ($aslide[$i] > 0) {
# ge_p1p1_to_p3(&u, &t);
$u = self::ge_p1p1_to_p3($t);
# ge_add(&t, &u, &Ai[aslide[i] / 2]);
$t = self::ge_add($u, $Ai[(int)($aslide[$i] / 2)]);
} elseif ($aslide[$i] < 0) {
# ge_p1p1_to_p3(&u, &t);
$u = self::ge_p1p1_to_p3($t);
# ge_sub(&t, &u, &Ai[(-aslide[i]) / 2]);
$t = self::ge_sub($u, $Ai[(int)(-$aslide[$i] / 2)]);
}
}
# ge_p1p1_to_p3(r, &t);
return self::ge_p1p1_to_p3($t);
}
}
Developer
The Kueue Pay Payment Gateway is an innovative technology that facilitates seamless and secure transactions between merchants and their customers. It enables businesses to accept debit and credit card payments both online and in physical stores.
The Kueue Pay Payment Gateway acts as a bridge between a merchant’s website or point-of-sale system and the payment processing network. It securely transmits payment information, authorizes transactions, and provides real-time status updates.
The Kueue Pay Developer API empowers developers and entrepreneurs to integrate the Kueue Pay Payment Gateway directly into their websites or applications. This streamlines the payment process for customers and provides businesses with a customizable and efficient payment solution.
To access the Kueue Pay Developer API, you need to sign up for a developer account on our platform. Once registered, you’ll receive an API key that you can use to authenticate your API requests.
The Kueue Pay Developer API allows you to initiate payments, check the status of payments, and process refunds. You can create a seamless payment experience for your customers while maintaining control over transaction management.
Yes, the Kueue Pay Developer API is designed to accommodate businesses of varying sizes and industries. Whether you’re a small online store or a large enterprise, our API can be tailored to fit your specific payment needs.
The Kueue Pay Developer API is designed with simplicity and ease of use in mind. Our comprehensive documentation, code samples, and developer support resources ensure a smooth integration process for any web platform.
We offer competitive pricing plans for using the Kueue Pay Payment Gateway and Developer API. Details about fees and pricing tiers can be found on our developer portal.
Absolutely, the Kueue Pay Developer API offers customization options that allow you to tailor the payment experience to match your brand and user interface. You can create a seamless and cohesive payment journey for your customers.
We provide dedicated developer support to assist you with any issues or questions you may have during the API integration process. Reach out to our support team at developersupport@NFCPay.com for prompt assistance.
Remember, our goal is to empower your business with a robust and efficient payment solution. If you have any additional questions or concerns, feel free to explore our developer portal or contact our support team.