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WordPress/wp-includes/sodium_compat/src/Core32/Curve25519.php
Sergey Biryukov 89439a7f83 Upgrade/Install: Update sodium_compat to v1.17.1. 
The latest version of sodium_compat includes further improvements for PHP 8.1 compatibility.

Release notes:
https://github.com/paragonie/sodium_compat/releases/tag/v1.17.1

A full list of changes in this update can be found on GitHub:
https://github.com/paragonie/sodium_compat/compare/v1.17.0...v1.17.1

Follow-up to [49741], [51002], [51591].

Props jrf, paragoninitiativeenterprises.
Fixes #55453.
Built from https://develop.svn.wordpress.org/trunk@52988


git-svn-id: http://core.svn.wordpress.org/trunk@52577 1a063a9b-81f0-0310-95a4-ce76da25c4cd
2022-03-24 15:20:08 +00:00

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<?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);
}
}
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