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/home/tahkoom/public_html/wp-includes/sodium_compat/src/Core32/Curve25519.php
<?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);
    }
}
Path: home/tahkoom/public_html/wp-includes/sodium_compat/src/Core32
ثورة تكنولوجيا تغزو المدن…وتحول نمط الحياة – tahkoom.com
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ثورة تكنولوجيا تغزو المدن…وتحول نمط الحياة

مايو 23, 2025
9٬576 2 دقائق

 كتبت ميرنا أشرف

في سباق متسارع نحو المستقبل، لم تعد التكنولوجيا الذكية مجرد أدوات نستخدمها، بل أصبحت شريكًا أساسيًا في تفاصيل حياتنا اليومية. ومع هذا التطور، اقتحمت التكنولوجيا قلب المدن، لتقود تحولًا كبيراً من المدن التقليدية إلى مدن ذكية تُدار بأنظمة رقمية متقدمة. وكان من أبرز ملامح هذا التحول: أتمتة الشبكات الكهربائية، لتتحول بدورها إلى شبكات ذكية قادرة على إدارة وتوزيع الطاقة بكفاءة داخل المدن الذكية، بما يواكب تسارع متطلبات العصر ويعزز الاستدامة.

 أكد المهندس أشرف جمعة، صاحب شركات ألفا مصر للطاقة الشمسية، أن المدن الذكية تعد مجتمعات حضارية تتميز بتكامل الخدمات وإدارتها وتقديمها عن طريق التكامل واستخدامات تطبيقات التكنولوجيا الحديثة.

وتابع، يتم تحويل المدن الحضارية إلى مدن ذكية منذ البدء عن طريق تقديم حلول تكنولوجية عالية الدقة وفائقة السرعة، ويتم إدارتها أوتوماتيكياً عن طريق غرف تحكم مركزية، لسرعة تنفيذ المهام واكتشاف الأعطال والمشاكل، وتقديم حلول مستدامة، وقابلة للتطبيق، وموافقة مع البيئة الخضراء.

أضاف جمعة، أنه يتم إدارة الشبكات الكهربائية في المدن الذكية عن طريق شبكة اتصالات عالية الدقة، لربط أنظمة المستشعرات بمكونات باقي الأنظمة، لاستقبال وإرسال الأوامر أوتوماتيكياً، لتنفيذ وتحديد الاعطال والمهام.

 كيف تعمل أنظمة الإضاءة الذكية على تقليل استهلاك الطاقة؟

 بين جمعة، أنه عندما يتم تحديد المشكلة بشكل صحيح، يتم وضع عدة حلول تعتمد على الكفاءة لاقتصادية، ولذلك يتم دائما تقديم حلول جذرية ومستدامة وتعمل على تقليل تكاليف الاستهلاك، وبالتالي تعظيم الاستفادة بأقل تكاليف ممكنة، مثل: استخدام كشافات الإضاءة بمستشعرات التحرك للعنصر البشري لتحديد أوقات الذروة وأوقات تقليل الأحمال الكهربائية، وهذا ما تم فعله في طريق شرم الشيخ ومدخل مدينة شرم الشيخ، وبعض الكمبوندات في العاصمة الإدارية الجديدة، عن طريق تكنولوجيا الطاقة الشمسية التي تم العمل عليها وإنتاجها خلال الفترات الأخيرة.

مضيفا، إلى أن شبكات الكهرباء من الأنظمة التي تمتد لآلاف الكيلومترات داخل المدن الذكية، وهي التي تربط المدن داخل بعضها البعض، وهي الأعين التي يرى بها الناس الطرق، وما داخل المدن والمنازل.

ولذلك فإن إدارة شبكات الكهرباء شيء بالغ التعقيد، ويحتاج إلى تكنولوجيا عالية لمراقبة وتحديد أماكن الأحمال العالية، وتحديد أوقات الذروة، وكذلك تحقيق وفر من الاستخدام الجيد لشبكة الكهرباء.

 متطلبات تشغيل الشبكات

 ومن جانبها قالت المهندسة رحمة الديب، تابعة لشركة الفا للطاقة الشمسية، إن المكونات اللازمة لإدارة تلك الشبكات بأنظمة الذكاء الاصطناعي تعتمد على التكنولوجيا المتقدمة من كمبيوترات فائقة السرعة، وشبكة اتصالات عالية، وكذلك عنصراً بشريا ذو تدريب عال لاستخدام هذه الوسائل لتحقيق التكامل بين لعناصر.

 أوضحت الديب، أن من أبرز التحديات التي قد تواجه تنفيذ تلك الشبكات الذكية في المدن، هي التكاليف العالية لهذه الشبكات، بالإضافة إلى عائق البنية التحتية القديمة، التي تحتاج إلى استبدال مكونات الشبكة القديمة بالشبكة الحديثة.

 اتفق الطرفان علي أن مصر لا زالت قائمة لإدخال نظام تكنولوجيا الشبكات الذكية، والقضاء على فكرة عوائق البنية التحتية القديمة، مشيرة إلى أن مصر تبني حاليا خمس مدن ذكية، منها: المنصورة الجديدة، العاصمة الإدارية، العلمين، وغيرها.

 ونلاحظ أن مصر دخلت بقوة في مجال تحسين الشبكات القديمة وإدخال تعديلات عليها لتحسين كفاءة استخدام الطاقة.

 وأشارت الديب، إلى أن العائد الاقتصادي الأعلى يتحقق من الوفر الناتج عن تغيير نمط الاستهلاك، ولعل من أبرز الأمثلة، أن هناك مدينة كانت تستهلك أكثر من 5 جيجا وات في الإضاءة فقط، وتم تقليل هذا الاستهلاك إلى 1 جيجا فقط بعد استخدام تلك الأنظمة، مما وفر على الدولة 75% من كافة عناصر التكاليف (استيراد بترول أو غاز، كابلات نقل الطاقة، لوحات كهربائية، محولات… إلخ)

 في ظل هذا التوجه المتسارع نحو تطوير البنية التحتية الذكية، تبدو المدن الذكية ليست مجرد خيار مستقبلي، بل ضرورة أصبحت اجبارية لمواكبة التحديات البيئية والاقتصادية. ومع الجهود المستمرة التي تبذلها الدول والقطاع الخاص في مصر، تتعزز فرص التحول إلى نموذج حضاري متكامل، يعتمد على التكنولوجيا المتقدمة .

مايو 23, 2025
9٬576 2 دقائق
اظهر المزيد

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