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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
هل يعمل الذكاء الاصطناعي بدلا منا ؟مهن تتوارى واخرى تنهض – tahkoom.com
خطوة

هل يعمل الذكاء الاصطناعي بدلا منا ؟مهن تتوارى واخرى تنهض

يونيو 9, 2025
2٬989 3 دقائق

كتبت: فرح سمير

نشر رجلُ الأعمال المصريّ أحمد أبو هشيمة عبر حسابه الرسمي على منصة LinkedIn “لازم تعرف إن الذكاء الاصطناعي مبقاش مستقبل، هو حاضر واللي بيتأخر فيه بيتأخر كتير جدًا.” مؤكدًا أنّ التراجع والإهمال في هذا المجال يضر ّ بمعدلات الإنتاج ويؤخّر المؤسّسات

وبالاعتماد على تصريح المهندس خالد الدغيثر، المؤسّس والرئيس التنفيذي لشركة” مرافق الموحدة “والإداري في “إتقان السعودية”، أصبح الذكاء الاصطناعي لاعبًا رئيسيًا في إعادة تشكيل الوظائف داخل الشركات.

محمد مغربي- أستشاري التأمين والذكاء الاصطناعي

أوضح محمد مغربي، استشاري التأمين والذكاء الاصطناعي، أن السنوات الأخيرة شهدت ظهور وظائف لم تكن موجودة قبل عقد، مثل Prompt Engineer وAI Trainer، والتي تُعنى بتدريب النماذج وكتابة الأوامر للحصول على نتائج دقيقة. ولفت إلى أن الذكاء الاصطناعي لم يكتفِ بتحسين مهام تقليدية كالتسويق وخدمة العملاء، بل أوجد وظائف جديدة كليًا مثل مهندس تعلم الآلة، عالم البيانات، مدير منتج الذكاء الاصطناعي، وأخصائي أخلاقيات الذكاء الاصطناعي.

وأشار مغربي إلى تخصصات حديثة مثل Explainable AI وAI Governance، تعكس التركيز المتزايد على الشفافية والمسؤولية، مؤكدًا أن قطاعات التكنولوجيا، الصحة، المال، التعليم، والأمن السيبراني كانت الأكثر استفادة من هذه الطفرة.

كما برزت أدوار جديدة في سوق العمل مثل مصمم المحادثات الآلية، أخصائي التشغيل الآلي، ومهندس عمليات الذكاء الاصطناعي، في حين أصبح العمل الحر شائعًا في مجالات مثل الترجمة وكتابة المحتوى، مع اعتماد متزايد على المهارات الفعلية أكثر من الشهادات.

وشدّد مغربي على أهمية المزج بين الإبداع والتقنية، مشيرًا إلى تجارب مبرمجين يصممون موسيقى بالذكاء الاصطناعي ومصممي جرافيك يستخدمون أدوات مثل Midjourney وDALL·E. كما قدّم نصائح عملية للراغبين في دخول المجال، أبرزها: تعلم Python، أساسيات التعلم الآلي، أدوات تحليل البيانات مثل SQL وPower BI، واستخدام أدوات مثل ChatGPT وCopilot، مع التركيز على التفكير النقدي وفهم أخلاقيات الذكاء الاصطناعي.

وأكد أن وظائف مثل Prompt Engineer ستشهد تطورًا كبيرًا في المستقبل، محذرًا من الاعتماد الكامل على أداة واحدة، ومشددًا على أهمية بناء أساس متين من المهارات التحليلية وفهم الأنظمة. وختم بدعوة الشباب إلى البدء الآن، تنفيذ مشاريع بسيطة، والانخراط في مجتمعات تقنية لدعم التعلم المستمر.

د. رضوى عبد اللطيف – أستاذة الإعلام الرقمي

فيما تؤكد الدكتورة رضوى عبد اللطيف، أستاذة الإعلام الرقمي، أن “مفيش حاجة اسمها مهن صحفية جديدة، الصحفي هو الصحفي”، تشير إلى أن التغير الحقيقي يكمن في تطور المهام داخل المؤسسات الإعلامية التي تعتمد على تقنيات الذكاء الاصطناعي. وتوضح أن الصحفي اليوم مطالب بإجادة إنتاج المحتوى ونشره وتسويقه، إلى جانب فهم سلوك الجمهور والتحقق من دقة المعلومات باستخدام أدوات الذكاء الاصطناعي.

وترى عبد اللطيف أن الدور الإنساني للصحفي لا يمكن استبداله، بل يُستكمل من خلال مجموعة من الأدوات الحديثة مثل برامج التحرير والتصحيح اللغوي، الترجمة الآلية، التسويق الرقمي، تخصيص المحتوى، وتحليل سلوك الجمهور. وتلفت إلى أن هذه التقنيات أسهمت في نشوء وظائف جديدة في المجال الإعلامي، من بينها محلل بيانات الجمهور، خبير تحليل التوجهات، صحفي البيانات التحليلية، مصمم المحتوى التفاعلي، ومدير الحملات الرقمية، مؤكدة على ضرورة الإبقاء على الرقابة البشرية والالتزام بالقيم المهنية لضمان نزاهة العمل الصحفي

    خالد الشربيني – مستشار استراتيجي وخبير موارد بشرية

    أكد خالد الشربيني، المستشار الاستراتيجي وخبير الموارد البشرية، أن الذكاء الاصطناعي أصبح ضرورة ملحّة في سوق العمل، مستشهدًا بتقرير Veritone لعام 2024، الذي أشار إلى زيادة وظائف الذكاء الاصطناعي في الولايات المتحدة بنسبة 24.5% مقارنة بعام 2023، بما يعادل أكثر من 81 ألف وظيفة جديدة.

    وأوضح أن الشركات تبحث عن مهارات متخصصة مثل تحليل البيانات، البرمجة (Python، Java)، الأمن السيبراني، التعلم الآلي، والهندسة التفاعلية، مؤكدًا أن 87% من المؤسسات باتت تستخدم الذكاء الاصطناعي في التوظيف، عبر أدوات مثل فرز السير الذاتية والمقابلات الذكية.

    وأشار الشربيني إلى توسع قطاعات مثل الرعاية الصحية، المال، التسويق الرقمي، والخدمات اللوجستية بفضل هذه التقنيات، لافتًا إلى أن المنتدى الاقتصادي العالمي يتوقع خلق 170 مليون وظيفة جديدة بحلول 2030. كما كشف أن 77% من الشركات تخطط لإعادة تأهيل موظفيها عبر تدريبات وشهادات مهنية، مؤكدًا على أهمية دور “قادة التحول” في دمج التكنولوجيا داخل بيئات العمل.

    وختم بدعوة الشباب إلى تطوير مهاراتهم التقنية والشخصية، وتبنّي التعلم المستمر، مشددًا على أن الذكاء الاصطناعي لا يُغني عن الإنسان، بل يدعمه ويعزز جودة القرارات والخدمات.

    يتضح جليًا من خلال تصريحات أحمد أبو هشيمة وخبراء المجال أن الذكاء الاصطناعي لم يعد خيارًا مستقبليًا بل ضرورة حاضرة تتطلب انتباه المؤسسات والأفراد على حد سواء، وإلا فقدوا فرصًا كبيرة في التطور والابتكار. وقد كشفت هذه الحوارات عن تنوع الأدوار والمهام التي نشأت مع اعتماد تقنيات الذكاء الاصطناعي، بدءًا من تحليل البيانات وتصميم النماذج وصولًا إلى إدارة الحملات الرقمية وإثراء المحتوى الصحفي، مع التأكيد الدائم على أهمية العنصر البشري والرقابة الإنسانية لضمان جودة الأداء والحفاظ على القيم المهنية.

    يبقى الاستثمار في بناء المهارات الأساسية والتخصصية، وتبني ثقافة التعلم المستمر، هو السبيل الأمثل لمواجهة تحديات التحول الرقمي واغتنام فرصه المتجددة. ومن خلال تعاون القادة وصناع القرار مع كوادرهم على تأهيل بيئات العمل وتبني أدوات الذكاء الاصطناعي بوعي ومسؤولية، يمكن للمؤسسات أن تصنع طريقها نحو مستقبلٍ أكثر إنتاجية واستدامة

     

    يونيو 9, 2025
    2٬989 3 دقائق
    اظهر المزيد

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