diff options
Diffstat (limited to '')
27 files changed, 10829 insertions, 0 deletions
diff --git a/vendor/paragonie/sodium_compat/src/Core32/BLAKE2b.php b/vendor/paragonie/sodium_compat/src/Core32/BLAKE2b.php new file mode 100644 index 0000000..cda1a2c --- /dev/null +++ b/vendor/paragonie/sodium_compat/src/Core32/BLAKE2b.php @@ -0,0 +1,719 @@ +<?php
+
+if (class_exists('ParagonIE_Sodium_Core_BLAKE2b', false)) {
+ return;
+}
+
+/**
+ * Class ParagonIE_Sodium_Core_BLAKE2b
+ *
+ * Based on the work of Devi Mandiri in devi/salt.
+ */
+abstract class ParagonIE_Sodium_Core32_BLAKE2b extends ParagonIE_Sodium_Core_Util
+{
+ /**
+ * @var SplFixedArray
+ */
+ public static $iv;
+
+ /**
+ * @var array<int, array<int, int>>
+ */
+ public static $sigma = array(
+ array( 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15),
+ array( 14, 10, 4, 8, 9, 15, 13, 6, 1, 12, 0, 2, 11, 7, 5, 3),
+ array( 11, 8, 12, 0, 5, 2, 15, 13, 10, 14, 3, 6, 7, 1, 9, 4),
+ array( 7, 9, 3, 1, 13, 12, 11, 14, 2, 6, 5, 10, 4, 0, 15, 8),
+ array( 9, 0, 5, 7, 2, 4, 10, 15, 14, 1, 11, 12, 6, 8, 3, 13),
+ array( 2, 12, 6, 10, 0, 11, 8, 3, 4, 13, 7, 5, 15, 14, 1, 9),
+ array( 12, 5, 1, 15, 14, 13, 4, 10, 0, 7, 6, 3, 9, 2, 8, 11),
+ array( 13, 11, 7, 14, 12, 1, 3, 9, 5, 0, 15, 4, 8, 6, 2, 10),
+ array( 6, 15, 14, 9, 11, 3, 0, 8, 12, 2, 13, 7, 1, 4, 10, 5),
+ array( 10, 2, 8, 4, 7, 6, 1, 5, 15, 11, 9, 14, 3, 12, 13 , 0),
+ array( 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15),
+ array( 14, 10, 4, 8, 9, 15, 13, 6, 1, 12, 0, 2, 11, 7, 5, 3)
+ );
+
+ const BLOCKBYTES = 128;
+ const OUTBYTES = 64;
+ const KEYBYTES = 64;
+
+ /**
+ * Turn two 32-bit integers into a fixed array representing a 64-bit integer.
+ *
+ * @internal You should not use this directly from another application
+ *
+ * @param int $high
+ * @param int $low
+ * @return ParagonIE_Sodium_Core32_Int64
+ * @throws SodiumException
+ * @throws TypeError
+ */
+ public static function new64($high, $low)
+ {
+ return ParagonIE_Sodium_Core32_Int64::fromInts($low, $high);
+ }
+
+ /**
+ * Convert an arbitrary number into an SplFixedArray of two 32-bit integers
+ * that represents a 64-bit integer.
+ *
+ * @internal You should not use this directly from another application
+ *
+ * @param int $num
+ * @return ParagonIE_Sodium_Core32_Int64
+ * @throws SodiumException
+ * @throws TypeError
+ */
+ protected static function to64($num)
+ {
+ list($hi, $lo) = self::numericTo64BitInteger($num);
+ return self::new64($hi, $lo);
+ }
+
+ /**
+ * Adds two 64-bit integers together, returning their sum as a SplFixedArray
+ * containing two 32-bit integers (representing a 64-bit integer).
+ *
+ * @internal You should not use this directly from another application
+ *
+ * @param ParagonIE_Sodium_Core32_Int64 $x
+ * @param ParagonIE_Sodium_Core32_Int64 $y
+ * @return ParagonIE_Sodium_Core32_Int64
+ */
+ protected static function add64($x, $y)
+ {
+ return $x->addInt64($y);
+ }
+
+ /**
+ * @internal You should not use this directly from another application
+ *
+ * @param ParagonIE_Sodium_Core32_Int64 $x
+ * @param ParagonIE_Sodium_Core32_Int64 $y
+ * @param ParagonIE_Sodium_Core32_Int64 $z
+ * @return ParagonIE_Sodium_Core32_Int64
+ */
+ public static function add364($x, $y, $z)
+ {
+ return $x->addInt64($y)->addInt64($z);
+ }
+
+ /**
+ * @internal You should not use this directly from another application
+ *
+ * @param ParagonIE_Sodium_Core32_Int64 $x
+ * @param ParagonIE_Sodium_Core32_Int64 $y
+ * @return ParagonIE_Sodium_Core32_Int64
+ * @throws TypeError
+ */
+ public static function xor64(ParagonIE_Sodium_Core32_Int64 $x, ParagonIE_Sodium_Core32_Int64 $y)
+ {
+ return $x->xorInt64($y);
+ }
+
+ /**
+ * @internal You should not use this directly from another application
+ *
+ * @param ParagonIE_Sodium_Core32_Int64 $x
+ * @param int $c
+ * @return ParagonIE_Sodium_Core32_Int64
+ * @throws SodiumException
+ * @throws TypeError
+ */
+ public static function rotr64(ParagonIE_Sodium_Core32_Int64 $x, $c)
+ {
+ return $x->rotateRight($c);
+ }
+
+ /**
+ * @internal You should not use this directly from another application
+ *
+ * @param SplFixedArray $x
+ * @param int $i
+ * @return ParagonIE_Sodium_Core32_Int64
+ * @throws SodiumException
+ * @throws TypeError
+ */
+ public static function load64($x, $i)
+ {
+ /** @var int $l */
+ $l = (int) ($x[$i])
+ | ((int) ($x[$i+1]) << 8)
+ | ((int) ($x[$i+2]) << 16)
+ | ((int) ($x[$i+3]) << 24);
+ /** @var int $h */
+ $h = (int) ($x[$i+4])
+ | ((int) ($x[$i+5]) << 8)
+ | ((int) ($x[$i+6]) << 16)
+ | ((int) ($x[$i+7]) << 24);
+ return self::new64($h, $l);
+ }
+
+ /**
+ * @internal You should not use this directly from another application
+ *
+ * @param SplFixedArray $x
+ * @param int $i
+ * @param ParagonIE_Sodium_Core32_Int64 $u
+ * @return void
+ * @throws TypeError
+ * @psalm-suppress MixedArgument
+ * @psalm-suppress MixedAssignment
+ * @psalm-suppress MixedArrayAccess
+ * @psalm-suppress MixedArrayAssignment
+ * @psalm-suppress MixedArrayOffset
+ */
+ public static function store64(SplFixedArray $x, $i, ParagonIE_Sodium_Core32_Int64 $u)
+ {
+ $v = clone $u;
+ $maxLength = $x->getSize() - 1;
+ for ($j = 0; $j < 8; ++$j) {
+ $k = 3 - ($j >> 1);
+ $x[$i] = $v->limbs[$k] & 0xff;
+ if (++$i > $maxLength) {
+ return;
+ }
+ $v->limbs[$k] >>= 8;
+ }
+ }
+
+ /**
+ * This just sets the $iv static variable.
+ *
+ * @internal You should not use this directly from another application
+ *
+ * @return void
+ * @throws SodiumException
+ * @throws TypeError
+ */
+ public static function pseudoConstructor()
+ {
+ static $called = false;
+ if ($called) {
+ return;
+ }
+ self::$iv = new SplFixedArray(8);
+ self::$iv[0] = self::new64(0x6a09e667, 0xf3bcc908);
+ self::$iv[1] = self::new64(0xbb67ae85, 0x84caa73b);
+ self::$iv[2] = self::new64(0x3c6ef372, 0xfe94f82b);
+ self::$iv[3] = self::new64(0xa54ff53a, 0x5f1d36f1);
+ self::$iv[4] = self::new64(0x510e527f, 0xade682d1);
+ self::$iv[5] = self::new64(0x9b05688c, 0x2b3e6c1f);
+ self::$iv[6] = self::new64(0x1f83d9ab, 0xfb41bd6b);
+ self::$iv[7] = self::new64(0x5be0cd19, 0x137e2179);
+
+ $called = true;
+ }
+
+ /**
+ * Returns a fresh BLAKE2 context.
+ *
+ * @internal You should not use this directly from another application
+ *
+ * @return SplFixedArray
+ * @throws TypeError
+ * @psalm-suppress MixedArgument
+ * @psalm-suppress MixedAssignment
+ * @psalm-suppress MixedArrayAccess
+ * @psalm-suppress MixedArrayAssignment
+ * @psalm-suppress MixedArrayOffset
+ * @throws SodiumException
+ * @throws TypeError
+ */
+ protected static function context()
+ {
+ $ctx = new SplFixedArray(6);
+ $ctx[0] = new SplFixedArray(8); // h
+ $ctx[1] = new SplFixedArray(2); // t
+ $ctx[2] = new SplFixedArray(2); // f
+ $ctx[3] = new SplFixedArray(256); // buf
+ $ctx[4] = 0; // buflen
+ $ctx[5] = 0; // last_node (uint8_t)
+
+ for ($i = 8; $i--;) {
+ $ctx[0][$i] = self::$iv[$i];
+ }
+ for ($i = 256; $i--;) {
+ $ctx[3][$i] = 0;
+ }
+
+ $zero = self::new64(0, 0);
+ $ctx[1][0] = $zero;
+ $ctx[1][1] = $zero;
+ $ctx[2][0] = $zero;
+ $ctx[2][1] = $zero;
+
+ return $ctx;
+ }
+
+ /**
+ * @internal You should not use this directly from another application
+ *
+ * @param SplFixedArray $ctx
+ * @param SplFixedArray $buf
+ * @return void
+ * @throws SodiumException
+ * @throws TypeError
+ * @psalm-suppress MixedArgument
+ * @psalm-suppress MixedArrayAccess
+ * @psalm-suppress MixedArrayAssignment
+ * @psalm-suppress MixedAssignment
+ */
+ protected static function compress(SplFixedArray $ctx, SplFixedArray $buf)
+ {
+ $m = new SplFixedArray(16);
+ $v = new SplFixedArray(16);
+
+ for ($i = 16; $i--;) {
+ $m[$i] = self::load64($buf, $i << 3);
+ }
+
+ for ($i = 8; $i--;) {
+ $v[$i] = $ctx[0][$i];
+ }
+
+ $v[ 8] = self::$iv[0];
+ $v[ 9] = self::$iv[1];
+ $v[10] = self::$iv[2];
+ $v[11] = self::$iv[3];
+
+ $v[12] = self::xor64($ctx[1][0], self::$iv[4]);
+ $v[13] = self::xor64($ctx[1][1], self::$iv[5]);
+ $v[14] = self::xor64($ctx[2][0], self::$iv[6]);
+ $v[15] = self::xor64($ctx[2][1], self::$iv[7]);
+
+ for ($r = 0; $r < 12; ++$r) {
+ $v = self::G($r, 0, 0, 4, 8, 12, $v, $m);
+ $v = self::G($r, 1, 1, 5, 9, 13, $v, $m);
+ $v = self::G($r, 2, 2, 6, 10, 14, $v, $m);
+ $v = self::G($r, 3, 3, 7, 11, 15, $v, $m);
+ $v = self::G($r, 4, 0, 5, 10, 15, $v, $m);
+ $v = self::G($r, 5, 1, 6, 11, 12, $v, $m);
+ $v = self::G($r, 6, 2, 7, 8, 13, $v, $m);
+ $v = self::G($r, 7, 3, 4, 9, 14, $v, $m);
+ }
+
+ for ($i = 8; $i--;) {
+ $ctx[0][$i] = self::xor64(
+ $ctx[0][$i], self::xor64($v[$i], $v[$i+8])
+ );
+ }
+ }
+
+ /**
+ * @internal You should not use this directly from another application
+ *
+ * @param int $r
+ * @param int $i
+ * @param int $a
+ * @param int $b
+ * @param int $c
+ * @param int $d
+ * @param SplFixedArray $v
+ * @param SplFixedArray $m
+ * @return SplFixedArray
+ * @throws SodiumException
+ * @throws TypeError
+ * @psalm-suppress MixedArgument
+ * @psalm-suppress MixedArrayOffset
+ */
+ public static function G($r, $i, $a, $b, $c, $d, SplFixedArray $v, SplFixedArray $m)
+ {
+ $v[$a] = self::add364($v[$a], $v[$b], $m[self::$sigma[$r][$i << 1]]);
+ $v[$d] = self::rotr64(self::xor64($v[$d], $v[$a]), 32);
+ $v[$c] = self::add64($v[$c], $v[$d]);
+ $v[$b] = self::rotr64(self::xor64($v[$b], $v[$c]), 24);
+ $v[$a] = self::add364($v[$a], $v[$b], $m[self::$sigma[$r][($i << 1) + 1]]);
+ $v[$d] = self::rotr64(self::xor64($v[$d], $v[$a]), 16);
+ $v[$c] = self::add64($v[$c], $v[$d]);
+ $v[$b] = self::rotr64(self::xor64($v[$b], $v[$c]), 63);
+ return $v;
+ }
+
+ /**
+ * @internal You should not use this directly from another application
+ *
+ * @param SplFixedArray $ctx
+ * @param int $inc
+ * @return void
+ * @throws SodiumException
+ * @throws TypeError
+ * @psalm-suppress MixedArgument
+ * @psalm-suppress MixedArrayAccess
+ * @psalm-suppress MixedArrayAssignment
+ */
+ public static function increment_counter($ctx, $inc)
+ {
+ if ($inc < 0) {
+ throw new SodiumException('Increasing by a negative number makes no sense.');
+ }
+ $t = self::to64($inc);
+ # S->t is $ctx[1] in our implementation
+
+ # S->t[0] = ( uint64_t )( t >> 0 );
+ $ctx[1][0] = self::add64($ctx[1][0], $t);
+
+ # S->t[1] += ( S->t[0] < inc );
+ if (!($ctx[1][0] instanceof ParagonIE_Sodium_Core32_Int64)) {
+ throw new TypeError('Not an int64');
+ }
+ /** @var ParagonIE_Sodium_Core32_Int64 $c*/
+ $c = $ctx[1][0];
+ if ($c->isLessThanInt($inc)) {
+ $ctx[1][1] = self::add64($ctx[1][1], self::to64(1));
+ }
+ }
+
+ /**
+ * @internal You should not use this directly from another application
+ *
+ * @param SplFixedArray $ctx
+ * @param SplFixedArray $p
+ * @param int $plen
+ * @return void
+ * @throws SodiumException
+ * @throws TypeError
+ * @psalm-suppress MixedArgument
+ * @psalm-suppress MixedAssignment
+ * @psalm-suppress MixedArrayAccess
+ * @psalm-suppress MixedArrayAssignment
+ * @psalm-suppress MixedArrayOffset
+ * @psalm-suppress MixedMethodCall
+ * @psalm-suppress MixedOperand
+ */
+ public static function update(SplFixedArray $ctx, SplFixedArray $p, $plen)
+ {
+ self::pseudoConstructor();
+
+ $offset = 0;
+ while ($plen > 0) {
+ $left = $ctx[4];
+ $fill = 256 - $left;
+
+ if ($plen > $fill) {
+ # memcpy( S->buf + left, in, fill ); /* Fill buffer */
+ for ($i = $fill; $i--;) {
+ $ctx[3][$i + $left] = $p[$i + $offset];
+ }
+
+ # S->buflen += fill;
+ $ctx[4] += $fill;
+
+ # blake2b_increment_counter( S, BLAKE2B_BLOCKBYTES );
+ self::increment_counter($ctx, 128);
+
+ # blake2b_compress( S, S->buf ); /* Compress */
+ self::compress($ctx, $ctx[3]);
+
+ # memcpy( S->buf, S->buf + BLAKE2B_BLOCKBYTES, BLAKE2B_BLOCKBYTES ); /* Shift buffer left */
+ for ($i = 128; $i--;) {
+ $ctx[3][$i] = $ctx[3][$i + 128];
+ }
+
+ # S->buflen -= BLAKE2B_BLOCKBYTES;
+ $ctx[4] -= 128;
+
+ # in += fill;
+ $offset += $fill;
+
+ # inlen -= fill;
+ $plen -= $fill;
+ } else {
+ for ($i = $plen; $i--;) {
+ $ctx[3][$i + $left] = $p[$i + $offset];
+ }
+ $ctx[4] += $plen;
+ $offset += $plen;
+ $plen -= $plen;
+ }
+ }
+ }
+
+ /**
+ * @internal You should not use this directly from another application
+ *
+ * @param SplFixedArray $ctx
+ * @param SplFixedArray $out
+ * @return SplFixedArray
+ * @throws SodiumException
+ * @throws TypeError
+ * @psalm-suppress MixedArgument
+ * @psalm-suppress MixedAssignment
+ * @psalm-suppress MixedArrayAccess
+ * @psalm-suppress MixedArrayAssignment
+ * @psalm-suppress MixedArrayOffset
+ * @psalm-suppress MixedMethodCall
+ * @psalm-suppress MixedOperand
+ */
+ public static function finish(SplFixedArray $ctx, SplFixedArray $out)
+ {
+ self::pseudoConstructor();
+ if ($ctx[4] > 128) {
+ self::increment_counter($ctx, 128);
+ self::compress($ctx, $ctx[3]);
+ $ctx[4] -= 128;
+ if ($ctx[4] > 128) {
+ throw new SodiumException('Failed to assert that buflen <= 128 bytes');
+ }
+ for ($i = $ctx[4]; $i--;) {
+ $ctx[3][$i] = $ctx[3][$i + 128];
+ }
+ }
+
+ self::increment_counter($ctx, $ctx[4]);
+ $ctx[2][0] = self::new64(0xffffffff, 0xffffffff);
+
+ for ($i = 256 - $ctx[4]; $i--;) {
+ /** @var int $i */
+ $ctx[3][$i + $ctx[4]] = 0;
+ }
+
+ self::compress($ctx, $ctx[3]);
+
+ $i = (int) (($out->getSize() - 1) / 8);
+ for (; $i >= 0; --$i) {
+ self::store64($out, $i << 3, $ctx[0][$i]);
+ }
+ return $out;
+ }
+
+ /**
+ * @internal You should not use this directly from another application
+ *
+ * @param SplFixedArray|null $key
+ * @param int $outlen
+ * @param SplFixedArray|null $salt
+ * @param SplFixedArray|null $personal
+ * @return SplFixedArray
+ * @throws SodiumException
+ * @throws TypeError
+ * @psalm-suppress MixedArgument
+ * @psalm-suppress MixedAssignment
+ * @psalm-suppress MixedArrayAccess
+ * @psalm-suppress MixedArrayAssignment
+ * @psalm-suppress MixedMethodCall
+ */
+ public static function init(
+ $key = null,
+ $outlen = 64,
+ $salt = null,
+ $personal = null
+ ) {
+ self::pseudoConstructor();
+ $klen = 0;
+
+ if ($key !== null) {
+ if (count($key) > 64) {
+ throw new SodiumException('Invalid key size');
+ }
+ $klen = count($key);
+ }
+
+ if ($outlen > 64) {
+ throw new SodiumException('Invalid output size');
+ }
+
+ $ctx = self::context();
+
+ $p = new SplFixedArray(64);
+ // Zero our param buffer...
+ for ($i = 64; --$i;) {
+ $p[$i] = 0;
+ }
+
+ $p[0] = $outlen; // digest_length
+ $p[1] = $klen; // key_length
+ $p[2] = 1; // fanout
+ $p[3] = 1; // depth
+
+ if ($salt instanceof SplFixedArray) {
+ // salt: [32] through [47]
+ for ($i = 0; $i < 16; ++$i) {
+ $p[32 + $i] = (int) $salt[$i];
+ }
+ }
+ if ($personal instanceof SplFixedArray) {
+ // personal: [48] through [63]
+ for ($i = 0; $i < 16; ++$i) {
+ $p[48 + $i] = (int) $personal[$i];
+ }
+ }
+
+ $ctx[0][0] = self::xor64(
+ $ctx[0][0],
+ self::load64($p, 0)
+ );
+
+ if ($salt instanceof SplFixedArray || $personal instanceof SplFixedArray) {
+ // We need to do what blake2b_init_param() does:
+ for ($i = 1; $i < 8; ++$i) {
+ $ctx[0][$i] = self::xor64(
+ $ctx[0][$i],
+ self::load64($p, $i << 3)
+ );
+ }
+ }
+
+ if ($klen > 0 && $key instanceof SplFixedArray) {
+ $block = new SplFixedArray(128);
+ for ($i = 128; $i--;) {
+ $block[$i] = 0;
+ }
+ for ($i = $klen; $i--;) {
+ $block[$i] = $key[$i];
+ }
+ self::update($ctx, $block, 128);
+ $ctx[4] = 128;
+ }
+
+ return $ctx;
+ }
+
+ /**
+ * Convert a string into an SplFixedArray of integers
+ *
+ * @internal You should not use this directly from another application
+ *
+ * @param string $str
+ * @return SplFixedArray
+ * @psalm-suppress MixedArgumentTypeCoercion
+ */
+ public static function stringToSplFixedArray($str = '')
+ {
+ $values = unpack('C*', $str);
+ return SplFixedArray::fromArray(array_values($values));
+ }
+
+ /**
+ * Convert an SplFixedArray of integers into a string
+ *
+ * @internal You should not use this directly from another application
+ *
+ * @param SplFixedArray $a
+ * @return string
+ */
+ public static function SplFixedArrayToString(SplFixedArray $a)
+ {
+ /**
+ * @var array<int, string|int>
+ */
+ $arr = $a->toArray();
+ $c = $a->count();
+ array_unshift($arr, str_repeat('C', $c));
+ return (string) (call_user_func_array('pack', $arr));
+ }
+
+ /**
+ * @internal You should not use this directly from another application
+ *
+ * @param SplFixedArray $ctx
+ * @return string
+ * @throws TypeError
+ * @psalm-suppress MixedArgument
+ * @psalm-suppress MixedArrayAccess
+ * @psalm-suppress MixedArrayAssignment
+ * @psalm-suppress MixedMethodCall
+ */
+ public static function contextToString(SplFixedArray $ctx)
+ {
+ $str = '';
+ /** @var array<int, ParagonIE_Sodium_Core32_Int64> $ctxA */
+ $ctxA = $ctx[0]->toArray();
+
+ # uint64_t h[8];
+ for ($i = 0; $i < 8; ++$i) {
+ if (!($ctxA[$i] instanceof ParagonIE_Sodium_Core32_Int64)) {
+ throw new TypeError('Not an instance of Int64');
+ }
+ /** @var ParagonIE_Sodium_Core32_Int64 $ctxAi */
+ $ctxAi = $ctxA[$i];
+ $str .= $ctxAi->toReverseString();
+ }
+
+ # uint64_t t[2];
+ # uint64_t f[2];
+ for ($i = 1; $i < 3; ++$i) {
+ /** @var array<int, ParagonIE_Sodium_Core32_Int64> $ctxA */
+ $ctxA = $ctx[$i]->toArray();
+ /** @var ParagonIE_Sodium_Core32_Int64 $ctxA1 */
+ $ctxA1 = $ctxA[0];
+ /** @var ParagonIE_Sodium_Core32_Int64 $ctxA2 */
+ $ctxA2 = $ctxA[1];
+
+ $str .= $ctxA1->toReverseString();
+ $str .= $ctxA2->toReverseString();
+ }
+
+ # uint8_t buf[2 * 128];
+ $str .= self::SplFixedArrayToString($ctx[3]);
+
+ /** @var int $ctx4 */
+ $ctx4 = $ctx[4];
+
+ # size_t buflen;
+ $str .= implode('', array(
+ self::intToChr($ctx4 & 0xff),
+ self::intToChr(($ctx4 >> 8) & 0xff),
+ self::intToChr(($ctx4 >> 16) & 0xff),
+ self::intToChr(($ctx4 >> 24) & 0xff),
+ "\x00\x00\x00\x00"
+ /*
+ self::intToChr(($ctx4 >> 32) & 0xff),
+ self::intToChr(($ctx4 >> 40) & 0xff),
+ self::intToChr(($ctx4 >> 48) & 0xff),
+ self::intToChr(($ctx4 >> 56) & 0xff)
+ */
+ ));
+ # uint8_t last_node;
+ return $str . self::intToChr($ctx[5]) . str_repeat("\x00", 23);
+ }
+
+ /**
+ * Creates an SplFixedArray containing other SplFixedArray elements, from
+ * a string (compatible with \Sodium\crypto_generichash_{init, update, final})
+ *
+ * @internal You should not use this directly from another application
+ *
+ * @param string $string
+ * @return SplFixedArray
+ * @throws SodiumException
+ * @throws TypeError
+ * @psalm-suppress MixedArrayAccess
+ * @psalm-suppress MixedArrayAssignment
+ */
+ public static function stringToContext($string)
+ {
+ $ctx = self::context();
+
+ # uint64_t h[8];
+ for ($i = 0; $i < 8; ++$i) {
+ $ctx[0][$i] = ParagonIE_Sodium_Core32_Int64::fromReverseString(
+ self::substr($string, (($i << 3) + 0), 8)
+ );
+ }
+
+ # uint64_t t[2];
+ # uint64_t f[2];
+ for ($i = 1; $i < 3; ++$i) {
+ $ctx[$i][1] = ParagonIE_Sodium_Core32_Int64::fromReverseString(
+ self::substr($string, 72 + (($i - 1) << 4), 8)
+ );
+ $ctx[$i][0] = ParagonIE_Sodium_Core32_Int64::fromReverseString(
+ self::substr($string, 64 + (($i - 1) << 4), 8)
+ );
+ }
+
+ # uint8_t buf[2 * 128];
+ $ctx[3] = self::stringToSplFixedArray(self::substr($string, 96, 256));
+
+ # uint8_t buf[2 * 128];
+ $int = 0;
+ for ($i = 0; $i < 8; ++$i) {
+ $int |= self::chrToInt($string[352 + $i]) << ($i << 3);
+ }
+ $ctx[4] = $int;
+
+ return $ctx;
+ }
+}
diff --git a/vendor/paragonie/sodium_compat/src/Core32/ChaCha20.php b/vendor/paragonie/sodium_compat/src/Core32/ChaCha20.php new file mode 100644 index 0000000..6f8c0bf --- /dev/null +++ b/vendor/paragonie/sodium_compat/src/Core32/ChaCha20.php @@ -0,0 +1,400 @@ +<?php + +if (class_exists('ParagonIE_Sodium_Core32_ChaCha20', false)) { + return; +} + +/** + * Class ParagonIE_Sodium_Core32_ChaCha20 + */ +class ParagonIE_Sodium_Core32_ChaCha20 extends ParagonIE_Sodium_Core32_Util +{ + /** + * The ChaCha20 quarter round function. Works on four 32-bit integers. + * + * @internal You should not use this directly from another application + * + * @param ParagonIE_Sodium_Core32_Int32 $a + * @param ParagonIE_Sodium_Core32_Int32 $b + * @param ParagonIE_Sodium_Core32_Int32 $c + * @param ParagonIE_Sodium_Core32_Int32 $d + * @return array<int, ParagonIE_Sodium_Core32_Int32> + * @throws SodiumException + * @throws TypeError + */ + protected static function quarterRound( + ParagonIE_Sodium_Core32_Int32 $a, + ParagonIE_Sodium_Core32_Int32 $b, + ParagonIE_Sodium_Core32_Int32 $c, + ParagonIE_Sodium_Core32_Int32 $d + ) { + /** @var ParagonIE_Sodium_Core32_Int32 $a */ + /** @var ParagonIE_Sodium_Core32_Int32 $b */ + /** @var ParagonIE_Sodium_Core32_Int32 $c */ + /** @var ParagonIE_Sodium_Core32_Int32 $d */ + + # a = PLUS(a,b); d = ROTATE(XOR(d,a),16); + $a = $a->addInt32($b); + $d = $d->xorInt32($a)->rotateLeft(16); + + # c = PLUS(c,d); b = ROTATE(XOR(b,c),12); + $c = $c->addInt32($d); + $b = $b->xorInt32($c)->rotateLeft(12); + + # a = PLUS(a,b); d = ROTATE(XOR(d,a), 8); + $a = $a->addInt32($b); + $d = $d->xorInt32($a)->rotateLeft(8); + + # c = PLUS(c,d); b = ROTATE(XOR(b,c), 7); + $c = $c->addInt32($d); + $b = $b->xorInt32($c)->rotateLeft(7); + + return array($a, $b, $c, $d); + } + + /** + * @internal You should not use this directly from another application + * + * @param ParagonIE_Sodium_Core32_ChaCha20_Ctx $ctx + * @param string $message + * + * @return string + * @throws SodiumException + * @throws TypeError + */ + public static function encryptBytes( + ParagonIE_Sodium_Core32_ChaCha20_Ctx $ctx, + $message = '' + ) { + $bytes = self::strlen($message); + + /** @var ParagonIE_Sodium_Core32_Int32 $x0 */ + /** @var ParagonIE_Sodium_Core32_Int32 $x1 */ + /** @var ParagonIE_Sodium_Core32_Int32 $x2 */ + /** @var ParagonIE_Sodium_Core32_Int32 $x3 */ + /** @var ParagonIE_Sodium_Core32_Int32 $x4 */ + /** @var ParagonIE_Sodium_Core32_Int32 $x5 */ + /** @var ParagonIE_Sodium_Core32_Int32 $x6 */ + /** @var ParagonIE_Sodium_Core32_Int32 $x7 */ + /** @var ParagonIE_Sodium_Core32_Int32 $x8 */ + /** @var ParagonIE_Sodium_Core32_Int32 $x9 */ + /** @var ParagonIE_Sodium_Core32_Int32 $x10 */ + /** @var ParagonIE_Sodium_Core32_Int32 $x11 */ + /** @var ParagonIE_Sodium_Core32_Int32 $x12 */ + /** @var ParagonIE_Sodium_Core32_Int32 $x13 */ + /** @var ParagonIE_Sodium_Core32_Int32 $x14 */ + /** @var ParagonIE_Sodium_Core32_Int32 $x15 */ + + /* + j0 = ctx->input[0]; + j1 = ctx->input[1]; + j2 = ctx->input[2]; + j3 = ctx->input[3]; + j4 = ctx->input[4]; + j5 = ctx->input[5]; + j6 = ctx->input[6]; + j7 = ctx->input[7]; + j8 = ctx->input[8]; + j9 = ctx->input[9]; + j10 = ctx->input[10]; + j11 = ctx->input[11]; + j12 = ctx->input[12]; + j13 = ctx->input[13]; + j14 = ctx->input[14]; + j15 = ctx->input[15]; + */ + /** @var ParagonIE_Sodium_Core32_Int32 $j0 */ + $j0 = $ctx[0]; + /** @var ParagonIE_Sodium_Core32_Int32 $j1 */ + $j1 = $ctx[1]; + /** @var ParagonIE_Sodium_Core32_Int32 $j2 */ + $j2 = $ctx[2]; + /** @var ParagonIE_Sodium_Core32_Int32 $j3 */ + $j3 = $ctx[3]; + /** @var ParagonIE_Sodium_Core32_Int32 $j4 */ + $j4 = $ctx[4]; + /** @var ParagonIE_Sodium_Core32_Int32 $j5 */ + $j5 = $ctx[5]; + /** @var ParagonIE_Sodium_Core32_Int32 $j6 */ + $j6 = $ctx[6]; + /** @var ParagonIE_Sodium_Core32_Int32 $j7 */ + $j7 = $ctx[7]; + /** @var ParagonIE_Sodium_Core32_Int32 $j8 */ + $j8 = $ctx[8]; + /** @var ParagonIE_Sodium_Core32_Int32 $j9 */ + $j9 = $ctx[9]; + /** @var ParagonIE_Sodium_Core32_Int32 $j10 */ + $j10 = $ctx[10]; + /** @var ParagonIE_Sodium_Core32_Int32 $j11 */ + $j11 = $ctx[11]; + /** @var ParagonIE_Sodium_Core32_Int32 $j12 */ + $j12 = $ctx[12]; + /** @var ParagonIE_Sodium_Core32_Int32 $j13 */ + $j13 = $ctx[13]; + /** @var ParagonIE_Sodium_Core32_Int32 $j14 */ + $j14 = $ctx[14]; + /** @var ParagonIE_Sodium_Core32_Int32 $j15 */ + $j15 = $ctx[15]; + + $c = ''; + for (;;) { + if ($bytes < 64) { + $message .= str_repeat("\x00", 64 - $bytes); + } + + $x0 = clone $j0; + $x1 = clone $j1; + $x2 = clone $j2; + $x3 = clone $j3; + $x4 = clone $j4; + $x5 = clone $j5; + $x6 = clone $j6; + $x7 = clone $j7; + $x8 = clone $j8; + $x9 = clone $j9; + $x10 = clone $j10; + $x11 = clone $j11; + $x12 = clone $j12; + $x13 = clone $j13; + $x14 = clone $j14; + $x15 = clone $j15; + + # for (i = 20; i > 0; i -= 2) { + for ($i = 20; $i > 0; $i -= 2) { + # QUARTERROUND( x0, x4, x8, x12) + list($x0, $x4, $x8, $x12) = self::quarterRound($x0, $x4, $x8, $x12); + + # QUARTERROUND( x1, x5, x9, x13) + list($x1, $x5, $x9, $x13) = self::quarterRound($x1, $x5, $x9, $x13); + + # QUARTERROUND( x2, x6, x10, x14) + list($x2, $x6, $x10, $x14) = self::quarterRound($x2, $x6, $x10, $x14); + + # QUARTERROUND( x3, x7, x11, x15) + list($x3, $x7, $x11, $x15) = self::quarterRound($x3, $x7, $x11, $x15); + + # QUARTERROUND( x0, x5, x10, x15) + list($x0, $x5, $x10, $x15) = self::quarterRound($x0, $x5, $x10, $x15); + + # QUARTERROUND( x1, x6, x11, x12) + list($x1, $x6, $x11, $x12) = self::quarterRound($x1, $x6, $x11, $x12); + + # QUARTERROUND( x2, x7, x8, x13) + list($x2, $x7, $x8, $x13) = self::quarterRound($x2, $x7, $x8, $x13); + + # QUARTERROUND( x3, x4, x9, x14) + list($x3, $x4, $x9, $x14) = self::quarterRound($x3, $x4, $x9, $x14); + } + /* + x0 = PLUS(x0, j0); + x1 = PLUS(x1, j1); + x2 = PLUS(x2, j2); + x3 = PLUS(x3, j3); + x4 = PLUS(x4, j4); + x5 = PLUS(x5, j5); + x6 = PLUS(x6, j6); + x7 = PLUS(x7, j7); + x8 = PLUS(x8, j8); + x9 = PLUS(x9, j9); + x10 = PLUS(x10, j10); + x11 = PLUS(x11, j11); + x12 = PLUS(x12, j12); + x13 = PLUS(x13, j13); + x14 = PLUS(x14, j14); + x15 = PLUS(x15, j15); + */ + $x0 = $x0->addInt32($j0); + $x1 = $x1->addInt32($j1); + $x2 = $x2->addInt32($j2); + $x3 = $x3->addInt32($j3); + $x4 = $x4->addInt32($j4); + $x5 = $x5->addInt32($j5); + $x6 = $x6->addInt32($j6); + $x7 = $x7->addInt32($j7); + $x8 = $x8->addInt32($j8); + $x9 = $x9->addInt32($j9); + $x10 = $x10->addInt32($j10); + $x11 = $x11->addInt32($j11); + $x12 = $x12->addInt32($j12); + $x13 = $x13->addInt32($j13); + $x14 = $x14->addInt32($j14); + $x15 = $x15->addInt32($j15); + + /* + x0 = XOR(x0, LOAD32_LE(m + 0)); + x1 = XOR(x1, LOAD32_LE(m + 4)); + x2 = XOR(x2, LOAD32_LE(m + 8)); + x3 = XOR(x3, LOAD32_LE(m + 12)); + x4 = XOR(x4, LOAD32_LE(m + 16)); + x5 = XOR(x5, LOAD32_LE(m + 20)); + x6 = XOR(x6, LOAD32_LE(m + 24)); + x7 = XOR(x7, LOAD32_LE(m + 28)); + x8 = XOR(x8, LOAD32_LE(m + 32)); + x9 = XOR(x9, LOAD32_LE(m + 36)); + x10 = XOR(x10, LOAD32_LE(m + 40)); + x11 = XOR(x11, LOAD32_LE(m + 44)); + x12 = XOR(x12, LOAD32_LE(m + 48)); + x13 = XOR(x13, LOAD32_LE(m + 52)); + x14 = XOR(x14, LOAD32_LE(m + 56)); + x15 = XOR(x15, LOAD32_LE(m + 60)); + */ + $x0 = $x0->xorInt32(ParagonIE_Sodium_Core32_Int32::fromReverseString(self::substr($message, 0, 4))); + $x1 = $x1->xorInt32(ParagonIE_Sodium_Core32_Int32::fromReverseString(self::substr($message, 4, 4))); + $x2 = $x2->xorInt32(ParagonIE_Sodium_Core32_Int32::fromReverseString(self::substr($message, 8, 4))); + $x3 = $x3->xorInt32(ParagonIE_Sodium_Core32_Int32::fromReverseString(self::substr($message, 12, 4))); + $x4 = $x4->xorInt32(ParagonIE_Sodium_Core32_Int32::fromReverseString(self::substr($message, 16, 4))); + $x5 = $x5->xorInt32(ParagonIE_Sodium_Core32_Int32::fromReverseString(self::substr($message, 20, 4))); + $x6 = $x6->xorInt32(ParagonIE_Sodium_Core32_Int32::fromReverseString(self::substr($message, 24, 4))); + $x7 = $x7->xorInt32(ParagonIE_Sodium_Core32_Int32::fromReverseString(self::substr($message, 28, 4))); + $x8 = $x8->xorInt32(ParagonIE_Sodium_Core32_Int32::fromReverseString(self::substr($message, 32, 4))); + $x9 = $x9->xorInt32(ParagonIE_Sodium_Core32_Int32::fromReverseString(self::substr($message, 36, 4))); + $x10 = $x10->xorInt32(ParagonIE_Sodium_Core32_Int32::fromReverseString(self::substr($message, 40, 4))); + $x11 = $x11->xorInt32(ParagonIE_Sodium_Core32_Int32::fromReverseString(self::substr($message, 44, 4))); + $x12 = $x12->xorInt32(ParagonIE_Sodium_Core32_Int32::fromReverseString(self::substr($message, 48, 4))); + $x13 = $x13->xorInt32(ParagonIE_Sodium_Core32_Int32::fromReverseString(self::substr($message, 52, 4))); + $x14 = $x14->xorInt32(ParagonIE_Sodium_Core32_Int32::fromReverseString(self::substr($message, 56, 4))); + $x15 = $x15->xorInt32(ParagonIE_Sodium_Core32_Int32::fromReverseString(self::substr($message, 60, 4))); + + /* + j12 = PLUSONE(j12); + if (!j12) { + j13 = PLUSONE(j13); + } + */ + /** @var ParagonIE_Sodium_Core32_Int32 $j12 */ + $j12 = $j12->addInt(1); + if ($j12->limbs[0] === 0 && $j12->limbs[1] === 0) { + $j13 = $j13->addInt(1); + } + + /* + STORE32_LE(c + 0, x0); + STORE32_LE(c + 4, x1); + STORE32_LE(c + 8, x2); + STORE32_LE(c + 12, x3); + STORE32_LE(c + 16, x4); + STORE32_LE(c + 20, x5); + STORE32_LE(c + 24, x6); + STORE32_LE(c + 28, x7); + STORE32_LE(c + 32, x8); + STORE32_LE(c + 36, x9); + STORE32_LE(c + 40, x10); + STORE32_LE(c + 44, x11); + STORE32_LE(c + 48, x12); + STORE32_LE(c + 52, x13); + STORE32_LE(c + 56, x14); + STORE32_LE(c + 60, x15); + */ + + $block = $x0->toReverseString() . + $x1->toReverseString() . + $x2->toReverseString() . + $x3->toReverseString() . + $x4->toReverseString() . + $x5->toReverseString() . + $x6->toReverseString() . + $x7->toReverseString() . + $x8->toReverseString() . + $x9->toReverseString() . + $x10->toReverseString() . + $x11->toReverseString() . + $x12->toReverseString() . + $x13->toReverseString() . + $x14->toReverseString() . + $x15->toReverseString(); + + /* Partial block */ + if ($bytes < 64) { + $c .= self::substr($block, 0, $bytes); + break; + } + + /* Full block */ + $c .= $block; + $bytes -= 64; + if ($bytes <= 0) { + break; + } + $message = self::substr($message, 64); + } + /* end for(;;) loop */ + + $ctx[12] = $j12; + $ctx[13] = $j13; + return $c; + } + + /** + * @internal You should not use this directly from another application + * + * @param int $len + * @param string $nonce + * @param string $key + * @return string + * @throws SodiumException + * @throws TypeError + */ + public static function stream($len = 64, $nonce = '', $key = '') + { + return self::encryptBytes( + new ParagonIE_Sodium_Core32_ChaCha20_Ctx($key, $nonce), + str_repeat("\x00", $len) + ); + } + + /** + * @internal You should not use this directly from another application + * + * @param int $len + * @param string $nonce + * @param string $key + * @return string + * @throws SodiumException + * @throws TypeError + */ + public static function ietfStream($len, $nonce = '', $key = '') + { + return self::encryptBytes( + new ParagonIE_Sodium_Core32_ChaCha20_IetfCtx($key, $nonce), + str_repeat("\x00", $len) + ); + } + + /** + * @internal You should not use this directly from another application + * + * @param string $message + * @param string $nonce + * @param string $key + * @param string $ic + * @return string + * @throws SodiumException + * @throws TypeError + */ + public static function ietfStreamXorIc($message, $nonce = '', $key = '', $ic = '') + { + return self::encryptBytes( + new ParagonIE_Sodium_Core32_ChaCha20_IetfCtx($key, $nonce, $ic), + $message + ); + } + + /** + * @internal You should not use this directly from another application + * + * @param string $message + * @param string $nonce + * @param string $key + * @param string $ic + * @return string + * @throws SodiumException + * @throws TypeError + */ + public static function streamXorIc($message, $nonce = '', $key = '', $ic = '') + { + return self::encryptBytes( + new ParagonIE_Sodium_Core32_ChaCha20_Ctx($key, $nonce, $ic), + $message + ); + } +} diff --git a/vendor/paragonie/sodium_compat/src/Core32/ChaCha20/Ctx.php b/vendor/paragonie/sodium_compat/src/Core32/ChaCha20/Ctx.php new file mode 100644 index 0000000..3f47d03 --- /dev/null +++ b/vendor/paragonie/sodium_compat/src/Core32/ChaCha20/Ctx.php @@ -0,0 +1,126 @@ +<?php + +if (class_exists('ParagonIE_Sodium_Core_ChaCha20_Ctx', false)) { + return; +} + +/** + * Class ParagonIE_Sodium_Core32_ChaCha20_Ctx + */ +class ParagonIE_Sodium_Core32_ChaCha20_Ctx extends ParagonIE_Sodium_Core32_Util implements ArrayAccess +{ + /** + * @var SplFixedArray internally, <int, ParagonIE_Sodium_Core32_Int32> + */ + protected $container; + + /** + * ParagonIE_Sodium_Core_ChaCha20_Ctx constructor. + * + * @internal You should not use this directly from another application + * + * @param string $key ChaCha20 key. + * @param string $iv Initialization Vector (a.k.a. nonce). + * @param string $counter The initial counter value. + * Defaults to 8 0x00 bytes. + * @throws InvalidArgumentException + * @throws SodiumException + * @throws TypeError + */ + public function __construct($key = '', $iv = '', $counter = '') + { + if (self::strlen($key) !== 32) { + throw new InvalidArgumentException('ChaCha20 expects a 256-bit key.'); + } + if (self::strlen($iv) !== 8) { + throw new InvalidArgumentException('ChaCha20 expects a 64-bit nonce.'); + } + $this->container = new SplFixedArray(16); + + /* "expand 32-byte k" as per ChaCha20 spec */ + $this->container[0] = new ParagonIE_Sodium_Core32_Int32(array(0x6170, 0x7865)); + $this->container[1] = new ParagonIE_Sodium_Core32_Int32(array(0x3320, 0x646e)); + $this->container[2] = new ParagonIE_Sodium_Core32_Int32(array(0x7962, 0x2d32)); + $this->container[3] = new ParagonIE_Sodium_Core32_Int32(array(0x6b20, 0x6574)); + + $this->container[4] = ParagonIE_Sodium_Core32_Int32::fromReverseString(self::substr($key, 0, 4)); + $this->container[5] = ParagonIE_Sodium_Core32_Int32::fromReverseString(self::substr($key, 4, 4)); + $this->container[6] = ParagonIE_Sodium_Core32_Int32::fromReverseString(self::substr($key, 8, 4)); + $this->container[7] = ParagonIE_Sodium_Core32_Int32::fromReverseString(self::substr($key, 12, 4)); + $this->container[8] = ParagonIE_Sodium_Core32_Int32::fromReverseString(self::substr($key, 16, 4)); + $this->container[9] = ParagonIE_Sodium_Core32_Int32::fromReverseString(self::substr($key, 20, 4)); + $this->container[10] = ParagonIE_Sodium_Core32_Int32::fromReverseString(self::substr($key, 24, 4)); + $this->container[11] = ParagonIE_Sodium_Core32_Int32::fromReverseString(self::substr($key, 28, 4)); + + if (empty($counter)) { + $this->container[12] = new ParagonIE_Sodium_Core32_Int32(); + $this->container[13] = new ParagonIE_Sodium_Core32_Int32(); + } else { + $this->container[12] = ParagonIE_Sodium_Core32_Int32::fromReverseString(self::substr($counter, 0, 4)); + $this->container[13] = ParagonIE_Sodium_Core32_Int32::fromReverseString(self::substr($counter, 4, 4)); + } + $this->container[14] = ParagonIE_Sodium_Core32_Int32::fromReverseString(self::substr($iv, 0, 4)); + $this->container[15] = ParagonIE_Sodium_Core32_Int32::fromReverseString(self::substr($iv, 4, 4)); + } + + /** + * @internal You should not use this directly from another application + * + * @param int $offset + * @param int|ParagonIE_Sodium_Core32_Int32 $value + * @return void + */ + public function offsetSet($offset, $value) + { + if (!is_int($offset)) { + throw new InvalidArgumentException('Expected an integer'); + } + if ($value instanceof ParagonIE_Sodium_Core32_Int32) { + /* + } elseif (is_int($value)) { + $value = ParagonIE_Sodium_Core32_Int32::fromInt($value); + */ + } else { + throw new InvalidArgumentException('Expected an integer'); + } + $this->container[$offset] = $value; + } + + /** + * @internal You should not use this directly from another application + * + * @param int $offset + * @return bool + * @psalm-suppress MixedArrayOffset + */ + public function offsetExists($offset) + { + return isset($this->container[$offset]); + } + + /** + * @internal You should not use this directly from another application + * + * @param int $offset + * @return void + * @psalm-suppress MixedArrayOffset + */ + public function offsetUnset($offset) + { + unset($this->container[$offset]); + } + + /** + * @internal You should not use this directly from another application + * + * @param int $offset + * @return mixed|null + * @psalm-suppress MixedArrayOffset + */ + public function offsetGet($offset) + { + return isset($this->container[$offset]) + ? $this->container[$offset] + : null; + } +} diff --git a/vendor/paragonie/sodium_compat/src/Core32/ChaCha20/IetfCtx.php b/vendor/paragonie/sodium_compat/src/Core32/ChaCha20/IetfCtx.php new file mode 100644 index 0000000..eea08de --- /dev/null +++ b/vendor/paragonie/sodium_compat/src/Core32/ChaCha20/IetfCtx.php @@ -0,0 +1,39 @@ +<?php + +if (class_exists('ParagonIE_Sodium_Core_ChaCha20_IetfCtx', false)) { + return; +} + +/** + * Class ParagonIE_Sodium_Core32_ChaCha20_IetfCtx + */ +class ParagonIE_Sodium_Core32_ChaCha20_IetfCtx extends ParagonIE_Sodium_Core32_ChaCha20_Ctx +{ + /** + * ParagonIE_Sodium_Core_ChaCha20_IetfCtx constructor. + * + * @internal You should not use this directly from another application + * + * @param string $key ChaCha20 key. + * @param string $iv Initialization Vector (a.k.a. nonce). + * @param string $counter The initial counter value. + * Defaults to 4 0x00 bytes. + * @throws InvalidArgumentException + * @throws SodiumException + * @throws TypeError + */ + public function __construct($key = '', $iv = '', $counter = '') + { + if (self::strlen($iv) !== 12) { + throw new InvalidArgumentException('ChaCha20 expects a 96-bit nonce in IETF mode.'); + } + parent::__construct($key, self::substr($iv, 0, 8), $counter); + + if (!empty($counter)) { + $this->container[12] = ParagonIE_Sodium_Core32_Int32::fromReverseString(self::substr($counter, 0, 4)); + } + $this->container[13] = ParagonIE_Sodium_Core32_Int32::fromReverseString(self::substr($iv, 0, 4)); + $this->container[14] = ParagonIE_Sodium_Core32_Int32::fromReverseString(self::substr($iv, 4, 4)); + $this->container[15] = ParagonIE_Sodium_Core32_Int32::fromReverseString(self::substr($iv, 8, 4)); + } +} diff --git a/vendor/paragonie/sodium_compat/src/Core32/Curve25519.php b/vendor/paragonie/sodium_compat/src/Core32/Curve25519.php new file mode 100644 index 0000000..d6d700e --- /dev/null +++ b/vendor/paragonie/sodium_compat/src/Core32/Curve25519.php @@ -0,0 +1,3196 @@ +<?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)); + + /** @var int $h0 */ + $h0 = $f[0]->toInt32()->toInt(); + /** @var int $h1 */ + $h1 = $f[1]->toInt32()->toInt(); + /** @var int $h2 */ + $h2 = $f[2]->toInt32()->toInt(); + /** @var int $h3 */ + $h3 = $f[3]->toInt32()->toInt(); + /** @var int $h4 */ + $h4 = $f[4]->toInt32()->toInt(); + /** @var int $h5 */ + $h5 = $f[5]->toInt32()->toInt(); + /** @var int $h6 */ + $h6 = $f[6]->toInt32()->toInt(); + /** @var int $h7 */ + $h7 = $f[7]->toInt32()->toInt(); + /** @var int $h8 */ + $h8 = $f[8]->toInt32()->toInt(); + /** @var int $h9 */ + $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); + } + /** @var string $str */ + $str = self::fe_tobytes($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); + /** @var ParagonIE_Sodium_Core32_Int64 $f1_2 */ + $f1_2 = $f1->shiftLeft(1); + /** @var ParagonIE_Sodium_Core32_Int64 $f3_2 */ + $f3_2 = $f3->shiftLeft(1); + /** @var ParagonIE_Sodium_Core32_Int64 $f5_2 */ + $f5_2 = $f5->shiftLeft(1); + /** @var ParagonIE_Sodium_Core32_Int64 $f7_2 */ + $f7_2 = $f7->shiftLeft(1); + /** @var ParagonIE_Sodium_Core32_Int64 $f9_2 */ + $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) + { + /** @var ParagonIE_Sodium_Core32_Int64 $f0 */ + $f0 = $f[0]->toInt64(); + /** @var ParagonIE_Sodium_Core32_Int64 $f1 */ + $f1 = $f[1]->toInt64(); + /** @var ParagonIE_Sodium_Core32_Int64 $f2 */ + $f2 = $f[2]->toInt64(); + /** @var ParagonIE_Sodium_Core32_Int64 $f3 */ + $f3 = $f[3]->toInt64(); + /** @var ParagonIE_Sodium_Core32_Int64 $f4 */ + $f4 = $f[4]->toInt64(); + /** @var ParagonIE_Sodium_Core32_Int64 $f5 */ + $f5 = $f[5]->toInt64(); + /** @var ParagonIE_Sodium_Core32_Int64 $f6 */ + $f6 = $f[6]->toInt64(); + /** @var ParagonIE_Sodium_Core32_Int64 $f7 */ + $f7 = $f[7]->toInt64(); + /** @var ParagonIE_Sodium_Core32_Int64 $f8 */ + $f8 = $f[8]->toInt64(); + /** @var ParagonIE_Sodium_Core32_Int64 $f9 */ + $f9 = $f[9]->toInt64(); + + /** @var ParagonIE_Sodium_Core32_Int64 $f0_2 */ + $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); + /** @var ParagonIE_Sodium_Core32_Int64 $f0f0*/ + $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) + { + /** @var ParagonIE_Sodium_Core32_Int64 $f0 */ + $f0 = $f[0]->toInt64(); + /** @var ParagonIE_Sodium_Core32_Int64 $f1 */ + $f1 = $f[1]->toInt64(); + /** @var ParagonIE_Sodium_Core32_Int64 $f2 */ + $f2 = $f[2]->toInt64(); + /** @var ParagonIE_Sodium_Core32_Int64 $f3 */ + $f3 = $f[3]->toInt64(); + /** @var ParagonIE_Sodium_Core32_Int64 $f4 */ + $f4 = $f[4]->toInt64(); + /** @var ParagonIE_Sodium_Core32_Int64 $f5 */ + $f5 = $f[5]->toInt64(); + /** @var ParagonIE_Sodium_Core32_Int64 $f6 */ + $f6 = $f[6]->toInt64(); + /** @var ParagonIE_Sodium_Core32_Int64 $f7 */ + $f7 = $f[7]->toInt64(); + /** @var ParagonIE_Sodium_Core32_Int64 $f8 */ + $f8 = $f[8]->toInt64(); + /** @var ParagonIE_Sodium_Core32_Int64 $f9 */ + $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) { + /** @var ParagonIE_Sodium_Core32_Curve25519_Fe $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]) + ) + ); + } + + # 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, $c) + { + return (int) ((($b ^ $c) - 1 & 0xffffffff) >> 31); + } + + /** + * @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 */ + /** @var int $x */ + $x = self::chrToInt(self::substr($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); + /** @var int $babs */ + $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; + /** @var int $carry */ + $carry = $e[$i] + 8; + /** @var int $carry */ + $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) + { + /** @var array<int, int> $aslide */ + $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); + } +} diff --git a/vendor/paragonie/sodium_compat/src/Core32/Curve25519/Fe.php b/vendor/paragonie/sodium_compat/src/Core32/Curve25519/Fe.php new file mode 100644 index 0000000..5fe10f7 --- /dev/null +++ b/vendor/paragonie/sodium_compat/src/Core32/Curve25519/Fe.php @@ -0,0 +1,185 @@ +<?php + +if (class_exists('ParagonIE_Sodium_Core32_Curve25519_Fe', false)) { + return; +} + +/** + * Class ParagonIE_Sodium_Core32_Curve25519_Fe + * + * This represents a Field Element + */ +class ParagonIE_Sodium_Core32_Curve25519_Fe implements ArrayAccess +{ + /** + * @var array<int, ParagonIE_Sodium_Core32_Int32> + */ + protected $container = array(); + + /** + * @var int + */ + protected $size = 10; + + /** + * @internal You should not use this directly from another application + * + * @param array<int, ParagonIE_Sodium_Core32_Int32> $array + * @param bool $save_indexes + * @return self + * @throws SodiumException + * @throws TypeError + */ + public static function fromArray($array, $save_indexes = null) + { + $count = count($array); + if ($save_indexes) { + $keys = array_keys($array); + } else { + $keys = range(0, $count - 1); + } + $array = array_values($array); + + $obj = new ParagonIE_Sodium_Core32_Curve25519_Fe(); + if ($save_indexes) { + for ($i = 0; $i < $count; ++$i) { + $array[$i]->overflow = 0; + $obj->offsetSet($keys[$i], $array[$i]); + } + } else { + for ($i = 0; $i < $count; ++$i) { + $array[$i]->overflow = 0; + $obj->offsetSet($i, $array[$i]); + } + } + return $obj; + } + + /** + * @internal You should not use this directly from another application + * + * @param array<int, int> $array + * @param bool $save_indexes + * @return self + * @throws SodiumException + * @throws TypeError + */ + public static function fromIntArray($array, $save_indexes = null) + { + $count = count($array); + if ($save_indexes) { + $keys = array_keys($array); + } else { + $keys = range(0, $count - 1); + } + $array = array_values($array); + $set = array(); + /** @var int $i */ + /** @var int $v */ + foreach ($array as $i => $v) { + $set[$i] = ParagonIE_Sodium_Core32_Int32::fromInt($v); + } + + $obj = new ParagonIE_Sodium_Core32_Curve25519_Fe(); + if ($save_indexes) { + for ($i = 0; $i < $count; ++$i) { + $set[$i]->overflow = 0; + $obj->offsetSet($keys[$i], $set[$i]); + } + } else { + for ($i = 0; $i < $count; ++$i) { + $set[$i]->overflow = 0; + $obj->offsetSet($i, $set[$i]); + } + } + return $obj; + } + + /** + * @internal You should not use this directly from another application + * + * @param mixed $offset + * @param mixed $value + * @return void + * @throws SodiumException + * @throws TypeError + */ + public function offsetSet($offset, $value) + { + if (!($value instanceof ParagonIE_Sodium_Core32_Int32)) { + throw new InvalidArgumentException('Expected an instance of ParagonIE_Sodium_Core32_Int32'); + } + if (is_null($offset)) { + $this->container[] = $value; + } else { + ParagonIE_Sodium_Core32_Util::declareScalarType($offset, 'int', 1); + $this->container[(int) $offset] = $value; + } + } + + /** + * @internal You should not use this directly from another application + * + * @param mixed $offset + * @return bool + * @psalm-suppress MixedArrayOffset + */ + public function offsetExists($offset) + { + return isset($this->container[$offset]); + } + + /** + * @internal You should not use this directly from another application + * + * @param mixed $offset + * @return void + * @psalm-suppress MixedArrayOffset + */ + public function offsetUnset($offset) + { + unset($this->container[$offset]); + } + + /** + * @internal You should not use this directly from another application + * + * @param mixed $offset + * @return ParagonIE_Sodium_Core32_Int32 + * @psalm-suppress MixedArrayOffset + */ + public function offsetGet($offset) + { + if (!isset($this->container[$offset])) { + $this->container[(int) $offset] = new ParagonIE_Sodium_Core32_Int32(); + } + /** @var ParagonIE_Sodium_Core32_Int32 $get */ + $get = $this->container[$offset]; + return $get; + } + + /** + * @internal You should not use this directly from another application + * + * @return array + */ + public function __debugInfo() + { + if (empty($this->container)) { + return array(); + } + $c = array( + (int) ($this->container[0]->toInt()), + (int) ($this->container[1]->toInt()), + (int) ($this->container[2]->toInt()), + (int) ($this->container[3]->toInt()), + (int) ($this->container[4]->toInt()), + (int) ($this->container[5]->toInt()), + (int) ($this->container[6]->toInt()), + (int) ($this->container[7]->toInt()), + (int) ($this->container[8]->toInt()), + (int) ($this->container[9]->toInt()) + ); + return array(implode(', ', $c)); + } +} diff --git a/vendor/paragonie/sodium_compat/src/Core32/Curve25519/Ge/Cached.php b/vendor/paragonie/sodium_compat/src/Core32/Curve25519/Ge/Cached.php new file mode 100644 index 0000000..970481f --- /dev/null +++ b/vendor/paragonie/sodium_compat/src/Core32/Curve25519/Ge/Cached.php @@ -0,0 +1,65 @@ +<?php + + +if (class_exists('ParagonIE_Sodium_Core32_Curve25519_Ge_Cached', false)) { + return; +} +/** + * Class ParagonIE_Sodium_Core32_Curve25519_Ge_Cached + */ +class ParagonIE_Sodium_Core32_Curve25519_Ge_Cached +{ + /** + * @var ParagonIE_Sodium_Core32_Curve25519_Fe + */ + public $YplusX; + + /** + * @var ParagonIE_Sodium_Core32_Curve25519_Fe + */ + public $YminusX; + + /** + * @var ParagonIE_Sodium_Core32_Curve25519_Fe + */ + public $Z; + + /** + * @var ParagonIE_Sodium_Core32_Curve25519_Fe + */ + public $T2d; + + /** + * ParagonIE_Sodium_Core32_Curve25519_Ge_Cached constructor. + * + * @internal You should not use this directly from another application + * + * @param ParagonIE_Sodium_Core32_Curve25519_Fe|null $YplusX + * @param ParagonIE_Sodium_Core32_Curve25519_Fe|null $YminusX + * @param ParagonIE_Sodium_Core32_Curve25519_Fe|null $Z + * @param ParagonIE_Sodium_Core32_Curve25519_Fe|null $T2d + */ + public function __construct( + ParagonIE_Sodium_Core32_Curve25519_Fe $YplusX = null, + ParagonIE_Sodium_Core32_Curve25519_Fe $YminusX = null, + ParagonIE_Sodium_Core32_Curve25519_Fe $Z = null, + ParagonIE_Sodium_Core32_Curve25519_Fe $T2d = null + ) { + if ($YplusX === null) { + $YplusX = new ParagonIE_Sodium_Core32_Curve25519_Fe(); + } + $this->YplusX = $YplusX; + if ($YminusX === null) { + $YminusX = new ParagonIE_Sodium_Core32_Curve25519_Fe(); + } + $this->YminusX = $YminusX; + if ($Z === null) { + $Z = new ParagonIE_Sodium_Core32_Curve25519_Fe(); + } + $this->Z = $Z; + if ($T2d === null) { + $T2d = new ParagonIE_Sodium_Core32_Curve25519_Fe(); + } + $this->T2d = $T2d; + } +} diff --git a/vendor/paragonie/sodium_compat/src/Core32/Curve25519/Ge/P1p1.php b/vendor/paragonie/sodium_compat/src/Core32/Curve25519/Ge/P1p1.php new file mode 100644 index 0000000..ff10b1d --- /dev/null +++ b/vendor/paragonie/sodium_compat/src/Core32/Curve25519/Ge/P1p1.php @@ -0,0 +1,67 @@ +<?php + +if (class_exists('ParagonIE_Sodium_Core32_Curve25519_Ge_P1p1', false)) { + return; +} +/** + * Class ParagonIE_Sodium_Core32_Curve25519_Ge_P1p1 + */ +class ParagonIE_Sodium_Core32_Curve25519_Ge_P1p1 +{ + /** + * @var ParagonIE_Sodium_Core32_Curve25519_Fe + */ + public $X; + + /** + * @var ParagonIE_Sodium_Core32_Curve25519_Fe + */ + public $Y; + + /** + * @var ParagonIE_Sodium_Core32_Curve25519_Fe + */ + public $Z; + + /** + * @var ParagonIE_Sodium_Core32_Curve25519_Fe + */ + public $T; + + /** + * ParagonIE_Sodium_Core32_Curve25519_Ge_P1p1 constructor. + * + * @internal You should not use this directly from another application + * + * @param ParagonIE_Sodium_Core32_Curve25519_Fe|null $x + * @param ParagonIE_Sodium_Core32_Curve25519_Fe|null $y + * @param ParagonIE_Sodium_Core32_Curve25519_Fe|null $z + * @param ParagonIE_Sodium_Core32_Curve25519_Fe|null $t + * + * @throws SodiumException + * @throws TypeError + */ + public function __construct( + ParagonIE_Sodium_Core32_Curve25519_Fe $x = null, + ParagonIE_Sodium_Core32_Curve25519_Fe $y = null, + ParagonIE_Sodium_Core32_Curve25519_Fe $z = null, + ParagonIE_Sodium_Core32_Curve25519_Fe $t = null + ) { + if ($x === null) { + $x = ParagonIE_Sodium_Core32_Curve25519::fe_0(); + } + $this->X = $x; + if ($y === null) { + $y = ParagonIE_Sodium_Core32_Curve25519::fe_0(); + } + $this->Y = $y; + if ($z === null) { + $z = ParagonIE_Sodium_Core32_Curve25519::fe_0(); + } + $this->Z = $z; + if ($t === null) { + $t = ParagonIE_Sodium_Core32_Curve25519::fe_0(); + } + $this->T = $t; + } +} diff --git a/vendor/paragonie/sodium_compat/src/Core32/Curve25519/Ge/P2.php b/vendor/paragonie/sodium_compat/src/Core32/Curve25519/Ge/P2.php new file mode 100644 index 0000000..8a45a91 --- /dev/null +++ b/vendor/paragonie/sodium_compat/src/Core32/Curve25519/Ge/P2.php @@ -0,0 +1,54 @@ +<?php + +if (class_exists('ParagonIE_Sodium_Core32_Curve25519_Ge_P2', false)) { + return; +} + +/** + * Class ParagonIE_Sodium_Core32_Curve25519_Ge_P2 + */ +class ParagonIE_Sodium_Core32_Curve25519_Ge_P2 +{ + /** + * @var ParagonIE_Sodium_Core32_Curve25519_Fe + */ + public $X; + + /** + * @var ParagonIE_Sodium_Core32_Curve25519_Fe + */ + public $Y; + + /** + * @var ParagonIE_Sodium_Core32_Curve25519_Fe + */ + public $Z; + + /** + * ParagonIE_Sodium_Core32_Curve25519_Ge_P2 constructor. + * + * @internal You should not use this directly from another application + * + * @param ParagonIE_Sodium_Core32_Curve25519_Fe|null $x + * @param ParagonIE_Sodium_Core32_Curve25519_Fe|null $y + * @param ParagonIE_Sodium_Core32_Curve25519_Fe|null $z + */ + public function __construct( + ParagonIE_Sodium_Core32_Curve25519_Fe $x = null, + ParagonIE_Sodium_Core32_Curve25519_Fe $y = null, + ParagonIE_Sodium_Core32_Curve25519_Fe $z = null + ) { + if ($x === null) { + $x = new ParagonIE_Sodium_Core32_Curve25519_Fe(); + } + $this->X = $x; + if ($y === null) { + $y = new ParagonIE_Sodium_Core32_Curve25519_Fe(); + } + $this->Y = $y; + if ($z === null) { + $z = new ParagonIE_Sodium_Core32_Curve25519_Fe(); + } + $this->Z = $z; + } +} diff --git a/vendor/paragonie/sodium_compat/src/Core32/Curve25519/Ge/P3.php b/vendor/paragonie/sodium_compat/src/Core32/Curve25519/Ge/P3.php new file mode 100644 index 0000000..c9e4b16 --- /dev/null +++ b/vendor/paragonie/sodium_compat/src/Core32/Curve25519/Ge/P3.php @@ -0,0 +1,65 @@ +<?php + +if (class_exists('ParagonIE_Sodium_Core32_Curve25519_Ge_P3', false)) { + return; +} + +/** + * Class ParagonIE_Sodium_Core32_Curve25519_Ge_P3 + */ +class ParagonIE_Sodium_Core32_Curve25519_Ge_P3 +{ + /** + * @var ParagonIE_Sodium_Core32_Curve25519_Fe + */ + public $X; + + /** + * @var ParagonIE_Sodium_Core32_Curve25519_Fe + */ + public $Y; + + /** + * @var ParagonIE_Sodium_Core32_Curve25519_Fe + */ + public $Z; + + /** + * @var ParagonIE_Sodium_Core32_Curve25519_Fe + */ + public $T; + + /** + * ParagonIE_Sodium_Core32_Curve25519_Ge_P3 constructor. + * + * @internal You should not use this directly from another application + * + * @param ParagonIE_Sodium_Core32_Curve25519_Fe|null $x + * @param ParagonIE_Sodium_Core32_Curve25519_Fe|null $y + * @param ParagonIE_Sodium_Core32_Curve25519_Fe|null $z + * @param ParagonIE_Sodium_Core32_Curve25519_Fe|null $t + */ + public function __construct( + ParagonIE_Sodium_Core32_Curve25519_Fe $x = null, + ParagonIE_Sodium_Core32_Curve25519_Fe $y = null, + ParagonIE_Sodium_Core32_Curve25519_Fe $z = null, + ParagonIE_Sodium_Core32_Curve25519_Fe $t = null + ) { + if ($x === null) { + $x = new ParagonIE_Sodium_Core32_Curve25519_Fe(); + } + $this->X = $x; + if ($y === null) { + $y = new ParagonIE_Sodium_Core32_Curve25519_Fe(); + } + $this->Y = $y; + if ($z === null) { + $z = new ParagonIE_Sodium_Core32_Curve25519_Fe(); + } + $this->Z = $z; + if ($t === null) { + $t = new ParagonIE_Sodium_Core32_Curve25519_Fe(); + } + $this->T = $t; + } +} diff --git a/vendor/paragonie/sodium_compat/src/Core32/Curve25519/Ge/Precomp.php b/vendor/paragonie/sodium_compat/src/Core32/Curve25519/Ge/Precomp.php new file mode 100644 index 0000000..b590b75 --- /dev/null +++ b/vendor/paragonie/sodium_compat/src/Core32/Curve25519/Ge/Precomp.php @@ -0,0 +1,56 @@ +<?php + +if (class_exists('ParagonIE_Sodium_Core32_Curve25519_Ge_Precomp', false)) { + return; +} + +/** + * Class ParagonIE_Sodium_Core32_Curve25519_Ge_Precomp + */ +class ParagonIE_Sodium_Core32_Curve25519_Ge_Precomp +{ + /** + * @var ParagonIE_Sodium_Core32_Curve25519_Fe + */ + public $yplusx; + + /** + * @var ParagonIE_Sodium_Core32_Curve25519_Fe + */ + public $yminusx; + + /** + * @var ParagonIE_Sodium_Core32_Curve25519_Fe + */ + public $xy2d; + + /** + * ParagonIE_Sodium_Core32_Curve25519_Ge_Precomp constructor. + * + * @internal You should not use this directly from another application + * + * @param ParagonIE_Sodium_Core32_Curve25519_Fe $yplusx + * @param ParagonIE_Sodium_Core32_Curve25519_Fe $yminusx + * @param ParagonIE_Sodium_Core32_Curve25519_Fe $xy2d + * @throws SodiumException + * @throws TypeError + */ + public function __construct( + ParagonIE_Sodium_Core32_Curve25519_Fe $yplusx = null, + ParagonIE_Sodium_Core32_Curve25519_Fe $yminusx = null, + ParagonIE_Sodium_Core32_Curve25519_Fe $xy2d = null + ) { + if ($yplusx === null) { + $yplusx = ParagonIE_Sodium_Core32_Curve25519::fe_0(); + } + $this->yplusx = $yplusx; + if ($yminusx === null) { + $yminusx = ParagonIE_Sodium_Core32_Curve25519::fe_0(); + } + $this->yminusx = $yminusx; + if ($xy2d === null) { + $xy2d = ParagonIE_Sodium_Core32_Curve25519::fe_0(); + } + $this->xy2d = $xy2d; + } +} diff --git a/vendor/paragonie/sodium_compat/src/Core32/Curve25519/H.php b/vendor/paragonie/sodium_compat/src/Core32/Curve25519/H.php new file mode 100644 index 0000000..48c999a --- /dev/null +++ b/vendor/paragonie/sodium_compat/src/Core32/Curve25519/H.php @@ -0,0 +1,1467 @@ +<?php + +if (class_exists('ParagonIE_Sodium_Core32_Curve25519_H', false)) { + return; +} + +/** + * Class ParagonIE_Sodium_Core32_Curve25519_H + * + * This just contains the constants in the ref10/base.h file + */ +class ParagonIE_Sodium_Core32_Curve25519_H extends ParagonIE_Sodium_Core32_Util +{ + /** + * See: libsodium's crypto_core/curve25519/ref10/base.h + * + * @var array<int, array<int, array<int, array<int, int>>>> Basically, int[32][8][3][10] + */ + protected static $base = array( + array( + array( + array(25967493, -14356035, 29566456, 3660896, -12694345, 4014787, 27544626, -11754271, -6079156, 2047605), + array(-12545711, 934262, -2722910, 3049990, -727428, 9406986, 12720692, 5043384, 19500929, -15469378), + array(-8738181, 4489570, 9688441, -14785194, 10184609, -12363380, 29287919, 11864899, -24514362, -4438546), + ), + array( + array(-12815894, -12976347, -21581243, 11784320, -25355658, -2750717, -11717903, -3814571, -358445, -10211303), + array(-21703237, 6903825, 27185491, 6451973, -29577724, -9554005, -15616551, 11189268, -26829678, -5319081), + array(26966642, 11152617, 32442495, 15396054, 14353839, -12752335, -3128826, -9541118, -15472047, -4166697), + ), + array( + array(15636291, -9688557, 24204773, -7912398, 616977, -16685262, 27787600, -14772189, 28944400, -1550024), + array(16568933, 4717097, -11556148, -1102322, 15682896, -11807043, 16354577, -11775962, 7689662, 11199574), + array(30464156, -5976125, -11779434, -15670865, 23220365, 15915852, 7512774, 10017326, -17749093, -9920357), + ), + array( + array(-17036878, 13921892, 10945806, -6033431, 27105052, -16084379, -28926210, 15006023, 3284568, -6276540), + array(23599295, -8306047, -11193664, -7687416, 13236774, 10506355, 7464579, 9656445, 13059162, 10374397), + array(7798556, 16710257, 3033922, 2874086, 28997861, 2835604, 32406664, -3839045, -641708, -101325), + ), + array( + array(10861363, 11473154, 27284546, 1981175, -30064349, 12577861, 32867885, 14515107, -15438304, 10819380), + array(4708026, 6336745, 20377586, 9066809, -11272109, 6594696, -25653668, 12483688, -12668491, 5581306), + array(19563160, 16186464, -29386857, 4097519, 10237984, -4348115, 28542350, 13850243, -23678021, -15815942), + ), + array( + array(-15371964, -12862754, 32573250, 4720197, -26436522, 5875511, -19188627, -15224819, -9818940, -12085777), + array(-8549212, 109983, 15149363, 2178705, 22900618, 4543417, 3044240, -15689887, 1762328, 14866737), + array(-18199695, -15951423, -10473290, 1707278, -17185920, 3916101, -28236412, 3959421, 27914454, 4383652), + ), + array( + array(5153746, 9909285, 1723747, -2777874, 30523605, 5516873, 19480852, 5230134, -23952439, -15175766), + array(-30269007, -3463509, 7665486, 10083793, 28475525, 1649722, 20654025, 16520125, 30598449, 7715701), + array(28881845, 14381568, 9657904, 3680757, -20181635, 7843316, -31400660, 1370708, 29794553, -1409300), + ), + array( + array(14499471, -2729599, -33191113, -4254652, 28494862, 14271267, 30290735, 10876454, -33154098, 2381726), + array(-7195431, -2655363, -14730155, 462251, -27724326, 3941372, -6236617, 3696005, -32300832, 15351955), + array(27431194, 8222322, 16448760, -3907995, -18707002, 11938355, -32961401, -2970515, 29551813, 10109425), + ), + ), + array( + array( + array(-13657040, -13155431, -31283750, 11777098, 21447386, 6519384, -2378284, -1627556, 10092783, -4764171), + array(27939166, 14210322, 4677035, 16277044, -22964462, -12398139, -32508754, 12005538, -17810127, 12803510), + array(17228999, -15661624, -1233527, 300140, -1224870, -11714777, 30364213, -9038194, 18016357, 4397660), + ), + array( + array(-10958843, -7690207, 4776341, -14954238, 27850028, -15602212, -26619106, 14544525, -17477504, 982639), + array(29253598, 15796703, -2863982, -9908884, 10057023, 3163536, 7332899, -4120128, -21047696, 9934963), + array(5793303, 16271923, -24131614, -10116404, 29188560, 1206517, -14747930, 4559895, -30123922, -10897950), + ), + array( + array(-27643952, -11493006, 16282657, -11036493, 28414021, -15012264, 24191034, 4541697, -13338309, 5500568), + array(12650548, -1497113, 9052871, 11355358, -17680037, -8400164, -17430592, 12264343, 10874051, 13524335), + array(25556948, -3045990, 714651, 2510400, 23394682, -10415330, 33119038, 5080568, -22528059, 5376628), + ), + array( + array(-26088264, -4011052, -17013699, -3537628, -6726793, 1920897, -22321305, -9447443, 4535768, 1569007), + array(-2255422, 14606630, -21692440, -8039818, 28430649, 8775819, -30494562, 3044290, 31848280, 12543772), + array(-22028579, 2943893, -31857513, 6777306, 13784462, -4292203, -27377195, -2062731, 7718482, 14474653), + ), + array( + array(2385315, 2454213, -22631320, 46603, -4437935, -15680415, 656965, -7236665, 24316168, -5253567), + array(13741529, 10911568, -33233417, -8603737, -20177830, -1033297, 33040651, -13424532, -20729456, 8321686), + array(21060490, -2212744, 15712757, -4336099, 1639040, 10656336, 23845965, -11874838, -9984458, 608372), + ), + array( + array(-13672732, -15087586, -10889693, -7557059, -6036909, 11305547, 1123968, -6780577, 27229399, 23887), + array(-23244140, -294205, -11744728, 14712571, -29465699, -2029617, 12797024, -6440308, -1633405, 16678954), + array(-29500620, 4770662, -16054387, 14001338, 7830047, 9564805, -1508144, -4795045, -17169265, 4904953), + ), + array( + array(24059557, 14617003, 19037157, -15039908, 19766093, -14906429, 5169211, 16191880, 2128236, -4326833), + array(-16981152, 4124966, -8540610, -10653797, 30336522, -14105247, -29806336, 916033, -6882542, -2986532), + array(-22630907, 12419372, -7134229, -7473371, -16478904, 16739175, 285431, 2763829, 15736322, 4143876), + ), + array( + array(2379352, 11839345, -4110402, -5988665, 11274298, 794957, 212801, -14594663, 23527084, -16458268), + array(33431127, -11130478, -17838966, -15626900, 8909499, 8376530, -32625340, 4087881, -15188911, -14416214), + array(1767683, 7197987, -13205226, -2022635, -13091350, 448826, 5799055, 4357868, -4774191, -16323038), + ), + ), + array( + array( + array(6721966, 13833823, -23523388, -1551314, 26354293, -11863321, 23365147, -3949732, 7390890, 2759800), + array(4409041, 2052381, 23373853, 10530217, 7676779, -12885954, 21302353, -4264057, 1244380, -12919645), + array(-4421239, 7169619, 4982368, -2957590, 30256825, -2777540, 14086413, 9208236, 15886429, 16489664), + ), + array( + array(1996075, 10375649, 14346367, 13311202, -6874135, -16438411, -13693198, 398369, -30606455, -712933), + array(-25307465, 9795880, -2777414, 14878809, -33531835, 14780363, 13348553, 12076947, -30836462, 5113182), + array(-17770784, 11797796, 31950843, 13929123, -25888302, 12288344, -30341101, -7336386, 13847711, 5387222), + ), + array( + array(-18582163, -3416217, 17824843, -2340966, 22744343, -10442611, 8763061, 3617786, -19600662, 10370991), + array(20246567, -14369378, 22358229, -543712, 18507283, -10413996, 14554437, -8746092, 32232924, 16763880), + array(9648505, 10094563, 26416693, 14745928, -30374318, -6472621, 11094161, 15689506, 3140038, -16510092), + ), + array( + array(-16160072, 5472695, 31895588, 4744994, 8823515, 10365685, -27224800, 9448613, -28774454, 366295), + array(19153450, 11523972, -11096490, -6503142, -24647631, 5420647, 28344573, 8041113, 719605, 11671788), + array(8678025, 2694440, -6808014, 2517372, 4964326, 11152271, -15432916, -15266516, 27000813, -10195553), + ), + array( + array(-15157904, 7134312, 8639287, -2814877, -7235688, 10421742, 564065, 5336097, 6750977, -14521026), + array(11836410, -3979488, 26297894, 16080799, 23455045, 15735944, 1695823, -8819122, 8169720, 16220347), + array(-18115838, 8653647, 17578566, -6092619, -8025777, -16012763, -11144307, -2627664, -5990708, -14166033), + ), + array( + array(-23308498, -10968312, 15213228, -10081214, -30853605, -11050004, 27884329, 2847284, 2655861, 1738395), + array(-27537433, -14253021, -25336301, -8002780, -9370762, 8129821, 21651608, -3239336, -19087449, -11005278), + array(1533110, 3437855, 23735889, 459276, 29970501, 11335377, 26030092, 5821408, 10478196, 8544890), + ), + array( + array(32173121, -16129311, 24896207, 3921497, 22579056, -3410854, 19270449, 12217473, 17789017, -3395995), + array(-30552961, -2228401, -15578829, -10147201, 13243889, 517024, 15479401, -3853233, 30460520, 1052596), + array(-11614875, 13323618, 32618793, 8175907, -15230173, 12596687, 27491595, -4612359, 3179268, -9478891), + ), + array( + array(31947069, -14366651, -4640583, -15339921, -15125977, -6039709, -14756777, -16411740, 19072640, -9511060), + array(11685058, 11822410, 3158003, -13952594, 33402194, -4165066, 5977896, -5215017, 473099, 5040608), + array(-20290863, 8198642, -27410132, 11602123, 1290375, -2799760, 28326862, 1721092, -19558642, -3131606), + ), + ), + array( + array( + array(7881532, 10687937, 7578723, 7738378, -18951012, -2553952, 21820786, 8076149, -27868496, 11538389), + array(-19935666, 3899861, 18283497, -6801568, -15728660, -11249211, 8754525, 7446702, -5676054, 5797016), + array(-11295600, -3793569, -15782110, -7964573, 12708869, -8456199, 2014099, -9050574, -2369172, -5877341), + ), + array( + array(-22472376, -11568741, -27682020, 1146375, 18956691, 16640559, 1192730, -3714199, 15123619, 10811505), + array(14352098, -3419715, -18942044, 10822655, 32750596, 4699007, -70363, 15776356, -28886779, -11974553), + array(-28241164, -8072475, -4978962, -5315317, 29416931, 1847569, -20654173, -16484855, 4714547, -9600655), + ), + array( + array(15200332, 8368572, 19679101, 15970074, -31872674, 1959451, 24611599, -4543832, -11745876, 12340220), + array(12876937, -10480056, 33134381, 6590940, -6307776, 14872440, 9613953, 8241152, 15370987, 9608631), + array(-4143277, -12014408, 8446281, -391603, 4407738, 13629032, -7724868, 15866074, -28210621, -8814099), + ), + array( + array(26660628, -15677655, 8393734, 358047, -7401291, 992988, -23904233, 858697, 20571223, 8420556), + array(14620715, 13067227, -15447274, 8264467, 14106269, 15080814, 33531827, 12516406, -21574435, -12476749), + array(236881, 10476226, 57258, -14677024, 6472998, 2466984, 17258519, 7256740, 8791136, 15069930), + ), + array( + array(1276410, -9371918, 22949635, -16322807, -23493039, -5702186, 14711875, 4874229, -30663140, -2331391), + array(5855666, 4990204, -13711848, 7294284, -7804282, 1924647, -1423175, -7912378, -33069337, 9234253), + array(20590503, -9018988, 31529744, -7352666, -2706834, 10650548, 31559055, -11609587, 18979186, 13396066), + ), + array( + array(24474287, 4968103, 22267082, 4407354, 24063882, -8325180, -18816887, 13594782, 33514650, 7021958), + array(-11566906, -6565505, -21365085, 15928892, -26158305, 4315421, -25948728, -3916677, -21480480, 12868082), + array(-28635013, 13504661, 19988037, -2132761, 21078225, 6443208, -21446107, 2244500, -12455797, -8089383), + ), + array( + array(-30595528, 13793479, -5852820, 319136, -25723172, -6263899, 33086546, 8957937, -15233648, 5540521), + array(-11630176, -11503902, -8119500, -7643073, 2620056, 1022908, -23710744, -1568984, -16128528, -14962807), + array(23152971, 775386, 27395463, 14006635, -9701118, 4649512, 1689819, 892185, -11513277, -15205948), + ), + array( + array(9770129, 9586738, 26496094, 4324120, 1556511, -3550024, 27453819, 4763127, -19179614, 5867134), + array(-32765025, 1927590, 31726409, -4753295, 23962434, -16019500, 27846559, 5931263, -29749703, -16108455), + array(27461885, -2977536, 22380810, 1815854, -23033753, -3031938, 7283490, -15148073, -19526700, 7734629), + ), + ), + array( + array( + array(-8010264, -9590817, -11120403, 6196038, 29344158, -13430885, 7585295, -3176626, 18549497, 15302069), + array(-32658337, -6171222, -7672793, -11051681, 6258878, 13504381, 10458790, -6418461, -8872242, 8424746), + array(24687205, 8613276, -30667046, -3233545, 1863892, -1830544, 19206234, 7134917, -11284482, -828919), + ), + array( + array(11334899, -9218022, 8025293, 12707519, 17523892, -10476071, 10243738, -14685461, -5066034, 16498837), + array(8911542, 6887158, -9584260, -6958590, 11145641, -9543680, 17303925, -14124238, 6536641, 10543906), + array(-28946384, 15479763, -17466835, 568876, -1497683, 11223454, -2669190, -16625574, -27235709, 8876771), + ), + array( + array(-25742899, -12566864, -15649966, -846607, -33026686, -796288, -33481822, 15824474, -604426, -9039817), + array(10330056, 70051, 7957388, -9002667, 9764902, 15609756, 27698697, -4890037, 1657394, 3084098), + array(10477963, -7470260, 12119566, -13250805, 29016247, -5365589, 31280319, 14396151, -30233575, 15272409), + ), + array( + array(-12288309, 3169463, 28813183, 16658753, 25116432, -5630466, -25173957, -12636138, -25014757, 1950504), + array(-26180358, 9489187, 11053416, -14746161, -31053720, 5825630, -8384306, -8767532, 15341279, 8373727), + array(28685821, 7759505, -14378516, -12002860, -31971820, 4079242, 298136, -10232602, -2878207, 15190420), + ), + array( + array(-32932876, 13806336, -14337485, -15794431, -24004620, 10940928, 8669718, 2742393, -26033313, -6875003), + array(-1580388, -11729417, -25979658, -11445023, -17411874, -10912854, 9291594, -16247779, -12154742, 6048605), + array(-30305315, 14843444, 1539301, 11864366, 20201677, 1900163, 13934231, 5128323, 11213262, 9168384), + ), + array( + array(-26280513, 11007847, 19408960, -940758, -18592965, -4328580, -5088060, -11105150, 20470157, -16398701), + array(-23136053, 9282192, 14855179, -15390078, -7362815, -14408560, -22783952, 14461608, 14042978, 5230683), + array(29969567, -2741594, -16711867, -8552442, 9175486, -2468974, 21556951, 3506042, -5933891, -12449708), + ), + array( + array(-3144746, 8744661, 19704003, 4581278, -20430686, 6830683, -21284170, 8971513, -28539189, 15326563), + array(-19464629, 10110288, -17262528, -3503892, -23500387, 1355669, -15523050, 15300988, -20514118, 9168260), + array(-5353335, 4488613, -23803248, 16314347, 7780487, -15638939, -28948358, 9601605, 33087103, -9011387), + ), + array( + array(-19443170, -15512900, -20797467, -12445323, -29824447, 10229461, -27444329, -15000531, -5996870, 15664672), + array(23294591, -16632613, -22650781, -8470978, 27844204, 11461195, 13099750, -2460356, 18151676, 13417686), + array(-24722913, -4176517, -31150679, 5988919, -26858785, 6685065, 1661597, -12551441, 15271676, -15452665), + ), + ), + array( + array( + array(11433042, -13228665, 8239631, -5279517, -1985436, -725718, -18698764, 2167544, -6921301, -13440182), + array(-31436171, 15575146, 30436815, 12192228, -22463353, 9395379, -9917708, -8638997, 12215110, 12028277), + array(14098400, 6555944, 23007258, 5757252, -15427832, -12950502, 30123440, 4617780, -16900089, -655628), + ), + array( + array(-4026201, -15240835, 11893168, 13718664, -14809462, 1847385, -15819999, 10154009, 23973261, -12684474), + array(-26531820, -3695990, -1908898, 2534301, -31870557, -16550355, 18341390, -11419951, 32013174, -10103539), + array(-25479301, 10876443, -11771086, -14625140, -12369567, 1838104, 21911214, 6354752, 4425632, -837822), + ), + array( + array(-10433389, -14612966, 22229858, -3091047, -13191166, 776729, -17415375, -12020462, 4725005, 14044970), + array(19268650, -7304421, 1555349, 8692754, -21474059, -9910664, 6347390, -1411784, -19522291, -16109756), + array(-24864089, 12986008, -10898878, -5558584, -11312371, -148526, 19541418, 8180106, 9282262, 10282508), + ), + array( + array(-26205082, 4428547, -8661196, -13194263, 4098402, -14165257, 15522535, 8372215, 5542595, -10702683), + array(-10562541, 14895633, 26814552, -16673850, -17480754, -2489360, -2781891, 6993761, -18093885, 10114655), + array(-20107055, -929418, 31422704, 10427861, -7110749, 6150669, -29091755, -11529146, 25953725, -106158), + ), + array( + array(-4234397, -8039292, -9119125, 3046000, 2101609, -12607294, 19390020, 6094296, -3315279, 12831125), + array(-15998678, 7578152, 5310217, 14408357, -33548620, -224739, 31575954, 6326196, 7381791, -2421839), + array(-20902779, 3296811, 24736065, -16328389, 18374254, 7318640, 6295303, 8082724, -15362489, 12339664), + ), + array( + array(27724736, 2291157, 6088201, -14184798, 1792727, 5857634, 13848414, 15768922, 25091167, 14856294), + array(-18866652, 8331043, 24373479, 8541013, -701998, -9269457, 12927300, -12695493, -22182473, -9012899), + array(-11423429, -5421590, 11632845, 3405020, 30536730, -11674039, -27260765, 13866390, 30146206, 9142070), + ), + array( + array(3924129, -15307516, -13817122, -10054960, 12291820, -668366, -27702774, 9326384, -8237858, 4171294), + array(-15921940, 16037937, 6713787, 16606682, -21612135, 2790944, 26396185, 3731949, 345228, -5462949), + array(-21327538, 13448259, 25284571, 1143661, 20614966, -8849387, 2031539, -12391231, -16253183, -13582083), + ), + array( + array(31016211, -16722429, 26371392, -14451233, -5027349, 14854137, 17477601, 3842657, 28012650, -16405420), + array(-5075835, 9368966, -8562079, -4600902, -15249953, 6970560, -9189873, 16292057, -8867157, 3507940), + array(29439664, 3537914, 23333589, 6997794, -17555561, -11018068, -15209202, -15051267, -9164929, 6580396), + ), + ), + array( + array( + array(-12185861, -7679788, 16438269, 10826160, -8696817, -6235611, 17860444, -9273846, -2095802, 9304567), + array(20714564, -4336911, 29088195, 7406487, 11426967, -5095705, 14792667, -14608617, 5289421, -477127), + array(-16665533, -10650790, -6160345, -13305760, 9192020, -1802462, 17271490, 12349094, 26939669, -3752294), + ), + array( + array(-12889898, 9373458, 31595848, 16374215, 21471720, 13221525, -27283495, -12348559, -3698806, 117887), + array(22263325, -6560050, 3984570, -11174646, -15114008, -566785, 28311253, 5358056, -23319780, 541964), + array(16259219, 3261970, 2309254, -15534474, -16885711, -4581916, 24134070, -16705829, -13337066, -13552195), + ), + array( + array(9378160, -13140186, -22845982, -12745264, 28198281, -7244098, -2399684, -717351, 690426, 14876244), + array(24977353, -314384, -8223969, -13465086, 28432343, -1176353, -13068804, -12297348, -22380984, 6618999), + array(-1538174, 11685646, 12944378, 13682314, -24389511, -14413193, 8044829, -13817328, 32239829, -5652762), + ), + array( + array(-18603066, 4762990, -926250, 8885304, -28412480, -3187315, 9781647, -10350059, 32779359, 5095274), + array(-33008130, -5214506, -32264887, -3685216, 9460461, -9327423, -24601656, 14506724, 21639561, -2630236), + array(-16400943, -13112215, 25239338, 15531969, 3987758, -4499318, -1289502, -6863535, 17874574, 558605), + ), + array( + array(-13600129, 10240081, 9171883, 16131053, -20869254, 9599700, 33499487, 5080151, 2085892, 5119761), + array(-22205145, -2519528, -16381601, 414691, -25019550, 2170430, 30634760, -8363614, -31999993, -5759884), + array(-6845704, 15791202, 8550074, -1312654, 29928809, -12092256, 27534430, -7192145, -22351378, 12961482), + ), + array( + array(-24492060, -9570771, 10368194, 11582341, -23397293, -2245287, 16533930, 8206996, -30194652, -5159638), + array(-11121496, -3382234, 2307366, 6362031, -135455, 8868177, -16835630, 7031275, 7589640, 8945490), + array(-32152748, 8917967, 6661220, -11677616, -1192060, -15793393, 7251489, -11182180, 24099109, -14456170), + ), + array( + array(5019558, -7907470, 4244127, -14714356, -26933272, 6453165, -19118182, -13289025, -6231896, -10280736), + array(10853594, 10721687, 26480089, 5861829, -22995819, 1972175, -1866647, -10557898, -3363451, -6441124), + array(-17002408, 5906790, 221599, -6563147, 7828208, -13248918, 24362661, -2008168, -13866408, 7421392), + ), + array( + array(8139927, -6546497, 32257646, -5890546, 30375719, 1886181, -21175108, 15441252, 28826358, -4123029), + array(6267086, 9695052, 7709135, -16603597, -32869068, -1886135, 14795160, -7840124, 13746021, -1742048), + array(28584902, 7787108, -6732942, -15050729, 22846041, -7571236, -3181936, -363524, 4771362, -8419958), + ), + ), + array( + array( + array(24949256, 6376279, -27466481, -8174608, -18646154, -9930606, 33543569, -12141695, 3569627, 11342593), + array(26514989, 4740088, 27912651, 3697550, 19331575, -11472339, 6809886, 4608608, 7325975, -14801071), + array(-11618399, -14554430, -24321212, 7655128, -1369274, 5214312, -27400540, 10258390, -17646694, -8186692), + ), + array( + array(11431204, 15823007, 26570245, 14329124, 18029990, 4796082, -31446179, 15580664, 9280358, -3973687), + array(-160783, -10326257, -22855316, -4304997, -20861367, -13621002, -32810901, -11181622, -15545091, 4387441), + array(-20799378, 12194512, 3937617, -5805892, -27154820, 9340370, -24513992, 8548137, 20617071, -7482001), + ), + array( + array(-938825, -3930586, -8714311, 16124718, 24603125, -6225393, -13775352, -11875822, 24345683, 10325460), + array(-19855277, -1568885, -22202708, 8714034, 14007766, 6928528, 16318175, -1010689, 4766743, 3552007), + array(-21751364, -16730916, 1351763, -803421, -4009670, 3950935, 3217514, 14481909, 10988822, -3994762), + ), + array( + array(15564307, -14311570, 3101243, 5684148, 30446780, -8051356, 12677127, -6505343, -8295852, 13296005), + array(-9442290, 6624296, -30298964, -11913677, -4670981, -2057379, 31521204, 9614054, -30000824, 12074674), + array(4771191, -135239, 14290749, -13089852, 27992298, 14998318, -1413936, -1556716, 29832613, -16391035), + ), + array( + array(7064884, -7541174, -19161962, -5067537, -18891269, -2912736, 25825242, 5293297, -27122660, 13101590), + array(-2298563, 2439670, -7466610, 1719965, -27267541, -16328445, 32512469, -5317593, -30356070, -4190957), + array(-30006540, 10162316, -33180176, 3981723, -16482138, -13070044, 14413974, 9515896, 19568978, 9628812), + ), + array( + array(33053803, 199357, 15894591, 1583059, 27380243, -4580435, -17838894, -6106839, -6291786, 3437740), + array(-18978877, 3884493, 19469877, 12726490, 15913552, 13614290, -22961733, 70104, 7463304, 4176122), + array(-27124001, 10659917, 11482427, -16070381, 12771467, -6635117, -32719404, -5322751, 24216882, 5944158), + ), + array( + array(8894125, 7450974, -2664149, -9765752, -28080517, -12389115, 19345746, 14680796, 11632993, 5847885), + array(26942781, -2315317, 9129564, -4906607, 26024105, 11769399, -11518837, 6367194, -9727230, 4782140), + array(19916461, -4828410, -22910704, -11414391, 25606324, -5972441, 33253853, 8220911, 6358847, -1873857), + ), + array( + array(801428, -2081702, 16569428, 11065167, 29875704, 96627, 7908388, -4480480, -13538503, 1387155), + array(19646058, 5720633, -11416706, 12814209, 11607948, 12749789, 14147075, 15156355, -21866831, 11835260), + array(19299512, 1155910, 28703737, 14890794, 2925026, 7269399, 26121523, 15467869, -26560550, 5052483), + ), + ), + array( + array( + array(-3017432, 10058206, 1980837, 3964243, 22160966, 12322533, -6431123, -12618185, 12228557, -7003677), + array(32944382, 14922211, -22844894, 5188528, 21913450, -8719943, 4001465, 13238564, -6114803, 8653815), + array(22865569, -4652735, 27603668, -12545395, 14348958, 8234005, 24808405, 5719875, 28483275, 2841751), + ), + array( + array(-16420968, -1113305, -327719, -12107856, 21886282, -15552774, -1887966, -315658, 19932058, -12739203), + array(-11656086, 10087521, -8864888, -5536143, -19278573, -3055912, 3999228, 13239134, -4777469, -13910208), + array(1382174, -11694719, 17266790, 9194690, -13324356, 9720081, 20403944, 11284705, -14013818, 3093230), + ), + array( + array(16650921, -11037932, -1064178, 1570629, -8329746, 7352753, -302424, 16271225, -24049421, -6691850), + array(-21911077, -5927941, -4611316, -5560156, -31744103, -10785293, 24123614, 15193618, -21652117, -16739389), + array(-9935934, -4289447, -25279823, 4372842, 2087473, 10399484, 31870908, 14690798, 17361620, 11864968), + ), + array( + array(-11307610, 6210372, 13206574, 5806320, -29017692, -13967200, -12331205, -7486601, -25578460, -16240689), + array(14668462, -12270235, 26039039, 15305210, 25515617, 4542480, 10453892, 6577524, 9145645, -6443880), + array(5974874, 3053895, -9433049, -10385191, -31865124, 3225009, -7972642, 3936128, -5652273, -3050304), + ), + array( + array(30625386, -4729400, -25555961, -12792866, -20484575, 7695099, 17097188, -16303496, -27999779, 1803632), + array(-3553091, 9865099, -5228566, 4272701, -5673832, -16689700, 14911344, 12196514, -21405489, 7047412), + array(20093277, 9920966, -11138194, -5343857, 13161587, 12044805, -32856851, 4124601, -32343828, -10257566), + ), + array( + array(-20788824, 14084654, -13531713, 7842147, 19119038, -13822605, 4752377, -8714640, -21679658, 2288038), + array(-26819236, -3283715, 29965059, 3039786, -14473765, 2540457, 29457502, 14625692, -24819617, 12570232), + array(-1063558, -11551823, 16920318, 12494842, 1278292, -5869109, -21159943, -3498680, -11974704, 4724943), + ), + array( + array(17960970, -11775534, -4140968, -9702530, -8876562, -1410617, -12907383, -8659932, -29576300, 1903856), + array(23134274, -14279132, -10681997, -1611936, 20684485, 15770816, -12989750, 3190296, 26955097, 14109738), + array(15308788, 5320727, -30113809, -14318877, 22902008, 7767164, 29425325, -11277562, 31960942, 11934971), + ), + array( + array(-27395711, 8435796, 4109644, 12222639, -24627868, 14818669, 20638173, 4875028, 10491392, 1379718), + array(-13159415, 9197841, 3875503, -8936108, -1383712, -5879801, 33518459, 16176658, 21432314, 12180697), + array(-11787308, 11500838, 13787581, -13832590, -22430679, 10140205, 1465425, 12689540, -10301319, -13872883), + ), + ), + array( + array( + array(5414091, -15386041, -21007664, 9643570, 12834970, 1186149, -2622916, -1342231, 26128231, 6032912), + array(-26337395, -13766162, 32496025, -13653919, 17847801, -12669156, 3604025, 8316894, -25875034, -10437358), + array(3296484, 6223048, 24680646, -12246460, -23052020, 5903205, -8862297, -4639164, 12376617, 3188849), + ), + array( + array(29190488, -14659046, 27549113, -1183516, 3520066, -10697301, 32049515, -7309113, -16109234, -9852307), + array(-14744486, -9309156, 735818, -598978, -20407687, -5057904, 25246078, -15795669, 18640741, -960977), + array(-6928835, -16430795, 10361374, 5642961, 4910474, 12345252, -31638386, -494430, 10530747, 1053335), + ), + array( + array(-29265967, -14186805, -13538216, -12117373, -19457059, -10655384, -31462369, -2948985, 24018831, 15026644), + array(-22592535, -3145277, -2289276, 5953843, -13440189, 9425631, 25310643, 13003497, -2314791, -15145616), + array(-27419985, -603321, -8043984, -1669117, -26092265, 13987819, -27297622, 187899, -23166419, -2531735), + ), + array( + array(-21744398, -13810475, 1844840, 5021428, -10434399, -15911473, 9716667, 16266922, -5070217, 726099), + array(29370922, -6053998, 7334071, -15342259, 9385287, 2247707, -13661962, -4839461, 30007388, -15823341), + array(-936379, 16086691, 23751945, -543318, -1167538, -5189036, 9137109, 730663, 9835848, 4555336), + ), + array( + array(-23376435, 1410446, -22253753, -12899614, 30867635, 15826977, 17693930, 544696, -11985298, 12422646), + array(31117226, -12215734, -13502838, 6561947, -9876867, -12757670, -5118685, -4096706, 29120153, 13924425), + array(-17400879, -14233209, 19675799, -2734756, -11006962, -5858820, -9383939, -11317700, 7240931, -237388), + ), + array( + array(-31361739, -11346780, -15007447, -5856218, -22453340, -12152771, 1222336, 4389483, 3293637, -15551743), + array(-16684801, -14444245, 11038544, 11054958, -13801175, -3338533, -24319580, 7733547, 12796905, -6335822), + array(-8759414, -10817836, -25418864, 10783769, -30615557, -9746811, -28253339, 3647836, 3222231, -11160462), + ), + array( + array(18606113, 1693100, -25448386, -15170272, 4112353, 10045021, 23603893, -2048234, -7550776, 2484985), + array(9255317, -3131197, -12156162, -1004256, 13098013, -9214866, 16377220, -2102812, -19802075, -3034702), + array(-22729289, 7496160, -5742199, 11329249, 19991973, -3347502, -31718148, 9936966, -30097688, -10618797), + ), + array( + array(21878590, -5001297, 4338336, 13643897, -3036865, 13160960, 19708896, 5415497, -7360503, -4109293), + array(27736861, 10103576, 12500508, 8502413, -3413016, -9633558, 10436918, -1550276, -23659143, -8132100), + array(19492550, -12104365, -29681976, -852630, -3208171, 12403437, 30066266, 8367329, 13243957, 8709688), + ), + ), + array( + array( + array(12015105, 2801261, 28198131, 10151021, 24818120, -4743133, -11194191, -5645734, 5150968, 7274186), + array(2831366, -12492146, 1478975, 6122054, 23825128, -12733586, 31097299, 6083058, 31021603, -9793610), + array(-2529932, -2229646, 445613, 10720828, -13849527, -11505937, -23507731, 16354465, 15067285, -14147707), + ), + array( + array(7840942, 14037873, -33364863, 15934016, -728213, -3642706, 21403988, 1057586, -19379462, -12403220), + array(915865, -16469274, 15608285, -8789130, -24357026, 6060030, -17371319, 8410997, -7220461, 16527025), + array(32922597, -556987, 20336074, -16184568, 10903705, -5384487, 16957574, 52992, 23834301, 6588044), + ), + array( + array(32752030, 11232950, 3381995, -8714866, 22652988, -10744103, 17159699, 16689107, -20314580, -1305992), + array(-4689649, 9166776, -25710296, -10847306, 11576752, 12733943, 7924251, -2752281, 1976123, -7249027), + array(21251222, 16309901, -2983015, -6783122, 30810597, 12967303, 156041, -3371252, 12331345, -8237197), + ), + array( + array(8651614, -4477032, -16085636, -4996994, 13002507, 2950805, 29054427, -5106970, 10008136, -4667901), + array(31486080, 15114593, -14261250, 12951354, 14369431, -7387845, 16347321, -13662089, 8684155, -10532952), + array(19443825, 11385320, 24468943, -9659068, -23919258, 2187569, -26263207, -6086921, 31316348, 14219878), + ), + array( + array(-28594490, 1193785, 32245219, 11392485, 31092169, 15722801, 27146014, 6992409, 29126555, 9207390), + array(32382935, 1110093, 18477781, 11028262, -27411763, -7548111, -4980517, 10843782, -7957600, -14435730), + array(2814918, 7836403, 27519878, -7868156, -20894015, -11553689, -21494559, 8550130, 28346258, 1994730), + ), + array( + array(-19578299, 8085545, -14000519, -3948622, 2785838, -16231307, -19516951, 7174894, 22628102, 8115180), + array(-30405132, 955511, -11133838, -15078069, -32447087, -13278079, -25651578, 3317160, -9943017, 930272), + array(-15303681, -6833769, 28856490, 1357446, 23421993, 1057177, 24091212, -1388970, -22765376, -10650715), + ), + array( + array(-22751231, -5303997, -12907607, -12768866, -15811511, -7797053, -14839018, -16554220, -1867018, 8398970), + array(-31969310, 2106403, -4736360, 1362501, 12813763, 16200670, 22981545, -6291273, 18009408, -15772772), + array(-17220923, -9545221, -27784654, 14166835, 29815394, 7444469, 29551787, -3727419, 19288549, 1325865), + ), + array( + array(15100157, -15835752, -23923978, -1005098, -26450192, 15509408, 12376730, -3479146, 33166107, -8042750), + array(20909231, 13023121, -9209752, 16251778, -5778415, -8094914, 12412151, 10018715, 2213263, -13878373), + array(32529814, -11074689, 30361439, -16689753, -9135940, 1513226, 22922121, 6382134, -5766928, 8371348), + ), + ), + array( + array( + array(9923462, 11271500, 12616794, 3544722, -29998368, -1721626, 12891687, -8193132, -26442943, 10486144), + array(-22597207, -7012665, 8587003, -8257861, 4084309, -12970062, 361726, 2610596, -23921530, -11455195), + array(5408411, -1136691, -4969122, 10561668, 24145918, 14240566, 31319731, -4235541, 19985175, -3436086), + ), + array( + array(-13994457, 16616821, 14549246, 3341099, 32155958, 13648976, -17577068, 8849297, 65030, 8370684), + array(-8320926, -12049626, 31204563, 5839400, -20627288, -1057277, -19442942, 6922164, 12743482, -9800518), + array(-2361371, 12678785, 28815050, 4759974, -23893047, 4884717, 23783145, 11038569, 18800704, 255233), + ), + array( + array(-5269658, -1773886, 13957886, 7990715, 23132995, 728773, 13393847, 9066957, 19258688, -14753793), + array(-2936654, -10827535, -10432089, 14516793, -3640786, 4372541, -31934921, 2209390, -1524053, 2055794), + array(580882, 16705327, 5468415, -2683018, -30926419, -14696000, -7203346, -8994389, -30021019, 7394435), + ), + array( + array(23838809, 1822728, -15738443, 15242727, 8318092, -3733104, -21672180, -3492205, -4821741, 14799921), + array(13345610, 9759151, 3371034, -16137791, 16353039, 8577942, 31129804, 13496856, -9056018, 7402518), + array(2286874, -4435931, -20042458, -2008336, -13696227, 5038122, 11006906, -15760352, 8205061, 1607563), + ), + array( + array(14414086, -8002132, 3331830, -3208217, 22249151, -5594188, 18364661, -2906958, 30019587, -9029278), + array(-27688051, 1585953, -10775053, 931069, -29120221, -11002319, -14410829, 12029093, 9944378, 8024), + array(4368715, -3709630, 29874200, -15022983, -20230386, -11410704, -16114594, -999085, -8142388, 5640030), + ), + array( + array(10299610, 13746483, 11661824, 16234854, 7630238, 5998374, 9809887, -16694564, 15219798, -14327783), + array(27425505, -5719081, 3055006, 10660664, 23458024, 595578, -15398605, -1173195, -18342183, 9742717), + array(6744077, 2427284, 26042789, 2720740, -847906, 1118974, 32324614, 7406442, 12420155, 1994844), + ), + array( + array(14012521, -5024720, -18384453, -9578469, -26485342, -3936439, -13033478, -10909803, 24319929, -6446333), + array(16412690, -4507367, 10772641, 15929391, -17068788, -4658621, 10555945, -10484049, -30102368, -4739048), + array(22397382, -7767684, -9293161, -12792868, 17166287, -9755136, -27333065, 6199366, 21880021, -12250760), + ), + array( + array(-4283307, 5368523, -31117018, 8163389, -30323063, 3209128, 16557151, 8890729, 8840445, 4957760), + array(-15447727, 709327, -6919446, -10870178, -29777922, 6522332, -21720181, 12130072, -14796503, 5005757), + array(-2114751, -14308128, 23019042, 15765735, -25269683, 6002752, 10183197, -13239326, -16395286, -2176112), + ), + ), + array( + array( + array(-19025756, 1632005, 13466291, -7995100, -23640451, 16573537, -32013908, -3057104, 22208662, 2000468), + array(3065073, -1412761, -25598674, -361432, -17683065, -5703415, -8164212, 11248527, -3691214, -7414184), + array(10379208, -6045554, 8877319, 1473647, -29291284, -12507580, 16690915, 2553332, -3132688, 16400289), + ), + array( + array(15716668, 1254266, -18472690, 7446274, -8448918, 6344164, -22097271, -7285580, 26894937, 9132066), + array(24158887, 12938817, 11085297, -8177598, -28063478, -4457083, -30576463, 64452, -6817084, -2692882), + array(13488534, 7794716, 22236231, 5989356, 25426474, -12578208, 2350710, -3418511, -4688006, 2364226), + ), + array( + array(16335052, 9132434, 25640582, 6678888, 1725628, 8517937, -11807024, -11697457, 15445875, -7798101), + array(29004207, -7867081, 28661402, -640412, -12794003, -7943086, 31863255, -4135540, -278050, -15759279), + array(-6122061, -14866665, -28614905, 14569919, -10857999, -3591829, 10343412, -6976290, -29828287, -10815811), + ), + array( + array(27081650, 3463984, 14099042, -4517604, 1616303, -6205604, 29542636, 15372179, 17293797, 960709), + array(20263915, 11434237, -5765435, 11236810, 13505955, -10857102, -16111345, 6493122, -19384511, 7639714), + array(-2830798, -14839232, 25403038, -8215196, -8317012, -16173699, 18006287, -16043750, 29994677, -15808121), + ), + array( + array(9769828, 5202651, -24157398, -13631392, -28051003, -11561624, -24613141, -13860782, -31184575, 709464), + array(12286395, 13076066, -21775189, -1176622, -25003198, 4057652, -32018128, -8890874, 16102007, 13205847), + array(13733362, 5599946, 10557076, 3195751, -5557991, 8536970, -25540170, 8525972, 10151379, 10394400), + ), + array( + array(4024660, -16137551, 22436262, 12276534, -9099015, -2686099, 19698229, 11743039, -33302334, 8934414), + array(-15879800, -4525240, -8580747, -2934061, 14634845, -698278, -9449077, 3137094, -11536886, 11721158), + array(17555939, -5013938, 8268606, 2331751, -22738815, 9761013, 9319229, 8835153, -9205489, -1280045), + ), + array( + array(-461409, -7830014, 20614118, 16688288, -7514766, -4807119, 22300304, 505429, 6108462, -6183415), + array(-5070281, 12367917, -30663534, 3234473, 32617080, -8422642, 29880583, -13483331, -26898490, -7867459), + array(-31975283, 5726539, 26934134, 10237677, -3173717, -605053, 24199304, 3795095, 7592688, -14992079), + ), + array( + array(21594432, -14964228, 17466408, -4077222, 32537084, 2739898, 6407723, 12018833, -28256052, 4298412), + array(-20650503, -11961496, -27236275, 570498, 3767144, -1717540, 13891942, -1569194, 13717174, 10805743), + array(-14676630, -15644296, 15287174, 11927123, 24177847, -8175568, -796431, 14860609, -26938930, -5863836), + ), + ), + array( + array( + array(12962541, 5311799, -10060768, 11658280, 18855286, -7954201, 13286263, -12808704, -4381056, 9882022), + array(18512079, 11319350, -20123124, 15090309, 18818594, 5271736, -22727904, 3666879, -23967430, -3299429), + array(-6789020, -3146043, 16192429, 13241070, 15898607, -14206114, -10084880, -6661110, -2403099, 5276065), + ), + array( + array(30169808, -5317648, 26306206, -11750859, 27814964, 7069267, 7152851, 3684982, 1449224, 13082861), + array(10342826, 3098505, 2119311, 193222, 25702612, 12233820, 23697382, 15056736, -21016438, -8202000), + array(-33150110, 3261608, 22745853, 7948688, 19370557, -15177665, -26171976, 6482814, -10300080, -11060101), + ), + array( + array(32869458, -5408545, 25609743, 15678670, -10687769, -15471071, 26112421, 2521008, -22664288, 6904815), + array(29506923, 4457497, 3377935, -9796444, -30510046, 12935080, 1561737, 3841096, -29003639, -6657642), + array(10340844, -6630377, -18656632, -2278430, 12621151, -13339055, 30878497, -11824370, -25584551, 5181966), + ), + array( + array(25940115, -12658025, 17324188, -10307374, -8671468, 15029094, 24396252, -16450922, -2322852, -12388574), + array(-21765684, 9916823, -1300409, 4079498, -1028346, 11909559, 1782390, 12641087, 20603771, -6561742), + array(-18882287, -11673380, 24849422, 11501709, 13161720, -4768874, 1925523, 11914390, 4662781, 7820689), + ), + array( + array(12241050, -425982, 8132691, 9393934, 32846760, -1599620, 29749456, 12172924, 16136752, 15264020), + array(-10349955, -14680563, -8211979, 2330220, -17662549, -14545780, 10658213, 6671822, 19012087, 3772772), + array(3753511, -3421066, 10617074, 2028709, 14841030, -6721664, 28718732, -15762884, 20527771, 12988982), + ), + array( + array(-14822485, -5797269, -3707987, 12689773, -898983, -10914866, -24183046, -10564943, 3299665, -12424953), + array(-16777703, -15253301, -9642417, 4978983, 3308785, 8755439, 6943197, 6461331, -25583147, 8991218), + array(-17226263, 1816362, -1673288, -6086439, 31783888, -8175991, -32948145, 7417950, -30242287, 1507265), + ), + array( + array(29692663, 6829891, -10498800, 4334896, 20945975, -11906496, -28887608, 8209391, 14606362, -10647073), + array(-3481570, 8707081, 32188102, 5672294, 22096700, 1711240, -33020695, 9761487, 4170404, -2085325), + array(-11587470, 14855945, -4127778, -1531857, -26649089, 15084046, 22186522, 16002000, -14276837, -8400798), + ), + array( + array(-4811456, 13761029, -31703877, -2483919, -3312471, 7869047, -7113572, -9620092, 13240845, 10965870), + array(-7742563, -8256762, -14768334, -13656260, -23232383, 12387166, 4498947, 14147411, 29514390, 4302863), + array(-13413405, -12407859, 20757302, -13801832, 14785143, 8976368, -5061276, -2144373, 17846988, -13971927), + ), + ), + array( + array( + array(-2244452, -754728, -4597030, -1066309, -6247172, 1455299, -21647728, -9214789, -5222701, 12650267), + array(-9906797, -16070310, 21134160, 12198166, -27064575, 708126, 387813, 13770293, -19134326, 10958663), + array(22470984, 12369526, 23446014, -5441109, -21520802, -9698723, -11772496, -11574455, -25083830, 4271862), + ), + array( + array(-25169565, -10053642, -19909332, 15361595, -5984358, 2159192, 75375, -4278529, -32526221, 8469673), + array(15854970, 4148314, -8893890, 7259002, 11666551, 13824734, -30531198, 2697372, 24154791, -9460943), + array(15446137, -15806644, 29759747, 14019369, 30811221, -9610191, -31582008, 12840104, 24913809, 9815020), + ), + array( + array(-4709286, -5614269, -31841498, -12288893, -14443537, 10799414, -9103676, 13438769, 18735128, 9466238), + array(11933045, 9281483, 5081055, -5183824, -2628162, -4905629, -7727821, -10896103, -22728655, 16199064), + array(14576810, 379472, -26786533, -8317236, -29426508, -10812974, -102766, 1876699, 30801119, 2164795), + ), + array( + array(15995086, 3199873, 13672555, 13712240, -19378835, -4647646, -13081610, -15496269, -13492807, 1268052), + array(-10290614, -3659039, -3286592, 10948818, 23037027, 3794475, -3470338, -12600221, -17055369, 3565904), + array(29210088, -9419337, -5919792, -4952785, 10834811, -13327726, -16512102, -10820713, -27162222, -14030531), + ), + array( + array(-13161890, 15508588, 16663704, -8156150, -28349942, 9019123, -29183421, -3769423, 2244111, -14001979), + array(-5152875, -3800936, -9306475, -6071583, 16243069, 14684434, -25673088, -16180800, 13491506, 4641841), + array(10813417, 643330, -19188515, -728916, 30292062, -16600078, 27548447, -7721242, 14476989, -12767431), + ), + array( + array(10292079, 9984945, 6481436, 8279905, -7251514, 7032743, 27282937, -1644259, -27912810, 12651324), + array(-31185513, -813383, 22271204, 11835308, 10201545, 15351028, 17099662, 3988035, 21721536, -3148940), + array(10202177, -6545839, -31373232, -9574638, -32150642, -8119683, -12906320, 3852694, 13216206, 14842320), + ), + array( + array(-15815640, -10601066, -6538952, -7258995, -6984659, -6581778, -31500847, 13765824, -27434397, 9900184), + array(14465505, -13833331, -32133984, -14738873, -27443187, 12990492, 33046193, 15796406, -7051866, -8040114), + array(30924417, -8279620, 6359016, -12816335, 16508377, 9071735, -25488601, 15413635, 9524356, -7018878), + ), + array( + array(12274201, -13175547, 32627641, -1785326, 6736625, 13267305, 5237659, -5109483, 15663516, 4035784), + array(-2951309, 8903985, 17349946, 601635, -16432815, -4612556, -13732739, -15889334, -22258478, 4659091), + array(-16916263, -4952973, -30393711, -15158821, 20774812, 15897498, 5736189, 15026997, -2178256, -13455585), + ), + ), + array( + array( + array(-8858980, -2219056, 28571666, -10155518, -474467, -10105698, -3801496, 278095, 23440562, -290208), + array(10226241, -5928702, 15139956, 120818, -14867693, 5218603, 32937275, 11551483, -16571960, -7442864), + array(17932739, -12437276, -24039557, 10749060, 11316803, 7535897, 22503767, 5561594, -3646624, 3898661), + ), + array( + array(7749907, -969567, -16339731, -16464, -25018111, 15122143, -1573531, 7152530, 21831162, 1245233), + array(26958459, -14658026, 4314586, 8346991, -5677764, 11960072, -32589295, -620035, -30402091, -16716212), + array(-12165896, 9166947, 33491384, 13673479, 29787085, 13096535, 6280834, 14587357, -22338025, 13987525), + ), + array( + array(-24349909, 7778775, 21116000, 15572597, -4833266, -5357778, -4300898, -5124639, -7469781, -2858068), + array(9681908, -6737123, -31951644, 13591838, -6883821, 386950, 31622781, 6439245, -14581012, 4091397), + array(-8426427, 1470727, -28109679, -1596990, 3978627, -5123623, -19622683, 12092163, 29077877, -14741988), + ), + array( + array(5269168, -6859726, -13230211, -8020715, 25932563, 1763552, -5606110, -5505881, -20017847, 2357889), + array(32264008, -15407652, -5387735, -1160093, -2091322, -3946900, 23104804, -12869908, 5727338, 189038), + array(14609123, -8954470, -6000566, -16622781, -14577387, -7743898, -26745169, 10942115, -25888931, -14884697), + ), + array( + array(20513500, 5557931, -15604613, 7829531, 26413943, -2019404, -21378968, 7471781, 13913677, -5137875), + array(-25574376, 11967826, 29233242, 12948236, -6754465, 4713227, -8940970, 14059180, 12878652, 8511905), + array(-25656801, 3393631, -2955415, -7075526, -2250709, 9366908, -30223418, 6812974, 5568676, -3127656), + ), + array( + array(11630004, 12144454, 2116339, 13606037, 27378885, 15676917, -17408753, -13504373, -14395196, 8070818), + array(27117696, -10007378, -31282771, -5570088, 1127282, 12772488, -29845906, 10483306, -11552749, -1028714), + array(10637467, -5688064, 5674781, 1072708, -26343588, -6982302, -1683975, 9177853, -27493162, 15431203), + ), + array( + array(20525145, 10892566, -12742472, 12779443, -29493034, 16150075, -28240519, 14943142, -15056790, -7935931), + array(-30024462, 5626926, -551567, -9981087, 753598, 11981191, 25244767, -3239766, -3356550, 9594024), + array(-23752644, 2636870, -5163910, -10103818, 585134, 7877383, 11345683, -6492290, 13352335, -10977084), + ), + array( + array(-1931799, -5407458, 3304649, -12884869, 17015806, -4877091, -29783850, -7752482, -13215537, -319204), + array(20239939, 6607058, 6203985, 3483793, -18386976, -779229, -20723742, 15077870, -22750759, 14523817), + array(27406042, -6041657, 27423596, -4497394, 4996214, 10002360, -28842031, -4545494, -30172742, -4805667), + ), + ), + array( + array( + array(11374242, 12660715, 17861383, -12540833, 10935568, 1099227, -13886076, -9091740, -27727044, 11358504), + array(-12730809, 10311867, 1510375, 10778093, -2119455, -9145702, 32676003, 11149336, -26123651, 4985768), + array(-19096303, 341147, -6197485, -239033, 15756973, -8796662, -983043, 13794114, -19414307, -15621255), + ), + array( + array(6490081, 11940286, 25495923, -7726360, 8668373, -8751316, 3367603, 6970005, -1691065, -9004790), + array(1656497, 13457317, 15370807, 6364910, 13605745, 8362338, -19174622, -5475723, -16796596, -5031438), + array(-22273315, -13524424, -64685, -4334223, -18605636, -10921968, -20571065, -7007978, -99853, -10237333), + ), + array( + array(17747465, 10039260, 19368299, -4050591, -20630635, -16041286, 31992683, -15857976, -29260363, -5511971), + array(31932027, -4986141, -19612382, 16366580, 22023614, 88450, 11371999, -3744247, 4882242, -10626905), + array(29796507, 37186, 19818052, 10115756, -11829032, 3352736, 18551198, 3272828, -5190932, -4162409), + ), + array( + array(12501286, 4044383, -8612957, -13392385, -32430052, 5136599, -19230378, -3529697, 330070, -3659409), + array(6384877, 2899513, 17807477, 7663917, -2358888, 12363165, 25366522, -8573892, -271295, 12071499), + array(-8365515, -4042521, 25133448, -4517355, -6211027, 2265927, -32769618, 1936675, -5159697, 3829363), + ), + array( + array(28425966, -5835433, -577090, -4697198, -14217555, 6870930, 7921550, -6567787, 26333140, 14267664), + array(-11067219, 11871231, 27385719, -10559544, -4585914, -11189312, 10004786, -8709488, -21761224, 8930324), + array(-21197785, -16396035, 25654216, -1725397, 12282012, 11008919, 1541940, 4757911, -26491501, -16408940), + ), + array( + array(13537262, -7759490, -20604840, 10961927, -5922820, -13218065, -13156584, 6217254, -15943699, 13814990), + array(-17422573, 15157790, 18705543, 29619, 24409717, -260476, 27361681, 9257833, -1956526, -1776914), + array(-25045300, -10191966, 15366585, 15166509, -13105086, 8423556, -29171540, 12361135, -18685978, 4578290), + ), + array( + array(24579768, 3711570, 1342322, -11180126, -27005135, 14124956, -22544529, 14074919, 21964432, 8235257), + array(-6528613, -2411497, 9442966, -5925588, 12025640, -1487420, -2981514, -1669206, 13006806, 2355433), + array(-16304899, -13605259, -6632427, -5142349, 16974359, -10911083, 27202044, 1719366, 1141648, -12796236), + ), + array( + array(-12863944, -13219986, -8318266, -11018091, -6810145, -4843894, 13475066, -3133972, 32674895, 13715045), + array(11423335, -5468059, 32344216, 8962751, 24989809, 9241752, -13265253, 16086212, -28740881, -15642093), + array(-1409668, 12530728, -6368726, 10847387, 19531186, -14132160, -11709148, 7791794, -27245943, 4383347), + ), + ), + array( + array( + array(-28970898, 5271447, -1266009, -9736989, -12455236, 16732599, -4862407, -4906449, 27193557, 6245191), + array(-15193956, 5362278, -1783893, 2695834, 4960227, 12840725, 23061898, 3260492, 22510453, 8577507), + array(-12632451, 11257346, -32692994, 13548177, -721004, 10879011, 31168030, 13952092, -29571492, -3635906), + ), + array( + array(3877321, -9572739, 32416692, 5405324, -11004407, -13656635, 3759769, 11935320, 5611860, 8164018), + array(-16275802, 14667797, 15906460, 12155291, -22111149, -9039718, 32003002, -8832289, 5773085, -8422109), + array(-23788118, -8254300, 1950875, 8937633, 18686727, 16459170, -905725, 12376320, 31632953, 190926), + ), + array( + array(-24593607, -16138885, -8423991, 13378746, 14162407, 6901328, -8288749, 4508564, -25341555, -3627528), + array(8884438, -5884009, 6023974, 10104341, -6881569, -4941533, 18722941, -14786005, -1672488, 827625), + array(-32720583, -16289296, -32503547, 7101210, 13354605, 2659080, -1800575, -14108036, -24878478, 1541286), + ), + array( + array(2901347, -1117687, 3880376, -10059388, -17620940, -3612781, -21802117, -3567481, 20456845, -1885033), + array(27019610, 12299467, -13658288, -1603234, -12861660, -4861471, -19540150, -5016058, 29439641, 15138866), + array(21536104, -6626420, -32447818, -10690208, -22408077, 5175814, -5420040, -16361163, 7779328, 109896), + ), + array( + array(30279744, 14648750, -8044871, 6425558, 13639621, -743509, 28698390, 12180118, 23177719, -554075), + array(26572847, 3405927, -31701700, 12890905, -19265668, 5335866, -6493768, 2378492, 4439158, -13279347), + array(-22716706, 3489070, -9225266, -332753, 18875722, -1140095, 14819434, -12731527, -17717757, -5461437), + ), + array( + array(-5056483, 16566551, 15953661, 3767752, -10436499, 15627060, -820954, 2177225, 8550082, -15114165), + array(-18473302, 16596775, -381660, 15663611, 22860960, 15585581, -27844109, -3582739, -23260460, -8428588), + array(-32480551, 15707275, -8205912, -5652081, 29464558, 2713815, -22725137, 15860482, -21902570, 1494193), + ), + array( + array(-19562091, -14087393, -25583872, -9299552, 13127842, 759709, 21923482, 16529112, 8742704, 12967017), + array(-28464899, 1553205, 32536856, -10473729, -24691605, -406174, -8914625, -2933896, -29903758, 15553883), + array(21877909, 3230008, 9881174, 10539357, -4797115, 2841332, 11543572, 14513274, 19375923, -12647961), + ), + array( + array(8832269, -14495485, 13253511, 5137575, 5037871, 4078777, 24880818, -6222716, 2862653, 9455043), + array(29306751, 5123106, 20245049, -14149889, 9592566, 8447059, -2077124, -2990080, 15511449, 4789663), + array(-20679756, 7004547, 8824831, -9434977, -4045704, -3750736, -5754762, 108893, 23513200, 16652362), + ), + ), + array( + array( + array(-33256173, 4144782, -4476029, -6579123, 10770039, -7155542, -6650416, -12936300, -18319198, 10212860), + array(2756081, 8598110, 7383731, -6859892, 22312759, -1105012, 21179801, 2600940, -9988298, -12506466), + array(-24645692, 13317462, -30449259, -15653928, 21365574, -10869657, 11344424, 864440, -2499677, -16710063), + ), + array( + array(-26432803, 6148329, -17184412, -14474154, 18782929, -275997, -22561534, 211300, 2719757, 4940997), + array(-1323882, 3911313, -6948744, 14759765, -30027150, 7851207, 21690126, 8518463, 26699843, 5276295), + array(-13149873, -6429067, 9396249, 365013, 24703301, -10488939, 1321586, 149635, -15452774, 7159369), + ), + array( + array(9987780, -3404759, 17507962, 9505530, 9731535, -2165514, 22356009, 8312176, 22477218, -8403385), + array(18155857, -16504990, 19744716, 9006923, 15154154, -10538976, 24256460, -4864995, -22548173, 9334109), + array(2986088, -4911893, 10776628, -3473844, 10620590, -7083203, -21413845, 14253545, -22587149, 536906), + ), + array( + array(4377756, 8115836, 24567078, 15495314, 11625074, 13064599, 7390551, 10589625, 10838060, -15420424), + array(-19342404, 867880, 9277171, -3218459, -14431572, -1986443, 19295826, -15796950, 6378260, 699185), + array(7895026, 4057113, -7081772, -13077756, -17886831, -323126, -716039, 15693155, -5045064, -13373962), + ), + array( + array(-7737563, -5869402, -14566319, -7406919, 11385654, 13201616, 31730678, -10962840, -3918636, -9669325), + array(10188286, -15770834, -7336361, 13427543, 22223443, 14896287, 30743455, 7116568, -21786507, 5427593), + array(696102, 13206899, 27047647, -10632082, 15285305, -9853179, 10798490, -4578720, 19236243, 12477404), + ), + array( + array(-11229439, 11243796, -17054270, -8040865, -788228, -8167967, -3897669, 11180504, -23169516, 7733644), + array(17800790, -14036179, -27000429, -11766671, 23887827, 3149671, 23466177, -10538171, 10322027, 15313801), + array(26246234, 11968874, 32263343, -5468728, 6830755, -13323031, -15794704, -101982, -24449242, 10890804), + ), + array( + array(-31365647, 10271363, -12660625, -6267268, 16690207, -13062544, -14982212, 16484931, 25180797, -5334884), + array(-586574, 10376444, -32586414, -11286356, 19801893, 10997610, 2276632, 9482883, 316878, 13820577), + array(-9882808, -4510367, -2115506, 16457136, -11100081, 11674996, 30756178, -7515054, 30696930, -3712849), + ), + array( + array(32988917, -9603412, 12499366, 7910787, -10617257, -11931514, -7342816, -9985397, -32349517, 7392473), + array(-8855661, 15927861, 9866406, -3649411, -2396914, -16655781, -30409476, -9134995, 25112947, -2926644), + array(-2504044, -436966, 25621774, -5678772, 15085042, -5479877, -24884878, -13526194, 5537438, -13914319), + ), + ), + array( + array( + array(-11225584, 2320285, -9584280, 10149187, -33444663, 5808648, -14876251, -1729667, 31234590, 6090599), + array(-9633316, 116426, 26083934, 2897444, -6364437, -2688086, 609721, 15878753, -6970405, -9034768), + array(-27757857, 247744, -15194774, -9002551, 23288161, -10011936, -23869595, 6503646, 20650474, 1804084), + ), + array( + array(-27589786, 15456424, 8972517, 8469608, 15640622, 4439847, 3121995, -10329713, 27842616, -202328), + array(-15306973, 2839644, 22530074, 10026331, 4602058, 5048462, 28248656, 5031932, -11375082, 12714369), + array(20807691, -7270825, 29286141, 11421711, -27876523, -13868230, -21227475, 1035546, -19733229, 12796920), + ), + array( + array(12076899, -14301286, -8785001, -11848922, -25012791, 16400684, -17591495, -12899438, 3480665, -15182815), + array(-32361549, 5457597, 28548107, 7833186, 7303070, -11953545, -24363064, -15921875, -33374054, 2771025), + array(-21389266, 421932, 26597266, 6860826, 22486084, -6737172, -17137485, -4210226, -24552282, 15673397), + ), + array( + array(-20184622, 2338216, 19788685, -9620956, -4001265, -8740893, -20271184, 4733254, 3727144, -12934448), + array(6120119, 814863, -11794402, -622716, 6812205, -15747771, 2019594, 7975683, 31123697, -10958981), + array(30069250, -11435332, 30434654, 2958439, 18399564, -976289, 12296869, 9204260, -16432438, 9648165), + ), + array( + array(32705432, -1550977, 30705658, 7451065, -11805606, 9631813, 3305266, 5248604, -26008332, -11377501), + array(17219865, 2375039, -31570947, -5575615, -19459679, 9219903, 294711, 15298639, 2662509, -16297073), + array(-1172927, -7558695, -4366770, -4287744, -21346413, -8434326, 32087529, -1222777, 32247248, -14389861), + ), + array( + array(14312628, 1221556, 17395390, -8700143, -4945741, -8684635, -28197744, -9637817, -16027623, -13378845), + array(-1428825, -9678990, -9235681, 6549687, -7383069, -468664, 23046502, 9803137, 17597934, 2346211), + array(18510800, 15337574, 26171504, 981392, -22241552, 7827556, -23491134, -11323352, 3059833, -11782870), + ), + array( + array(10141598, 6082907, 17829293, -1947643, 9830092, 13613136, -25556636, -5544586, -33502212, 3592096), + array(33114168, -15889352, -26525686, -13343397, 33076705, 8716171, 1151462, 1521897, -982665, -6837803), + array(-32939165, -4255815, 23947181, -324178, -33072974, -12305637, -16637686, 3891704, 26353178, 693168), + ), + array( + array(30374239, 1595580, -16884039, 13186931, 4600344, 406904, 9585294, -400668, 31375464, 14369965), + array(-14370654, -7772529, 1510301, 6434173, -18784789, -6262728, 32732230, -13108839, 17901441, 16011505), + array(18171223, -11934626, -12500402, 15197122, -11038147, -15230035, -19172240, -16046376, 8764035, 12309598), + ), + ), + array( + array( + array(5975908, -5243188, -19459362, -9681747, -11541277, 14015782, -23665757, 1228319, 17544096, -10593782), + array(5811932, -1715293, 3442887, -2269310, -18367348, -8359541, -18044043, -15410127, -5565381, 12348900), + array(-31399660, 11407555, 25755363, 6891399, -3256938, 14872274, -24849353, 8141295, -10632534, -585479), + ), + array( + array(-12675304, 694026, -5076145, 13300344, 14015258, -14451394, -9698672, -11329050, 30944593, 1130208), + array(8247766, -6710942, -26562381, -7709309, -14401939, -14648910, 4652152, 2488540, 23550156, -271232), + array(17294316, -3788438, 7026748, 15626851, 22990044, 113481, 2267737, -5908146, -408818, -137719), + ), + array( + array(16091085, -16253926, 18599252, 7340678, 2137637, -1221657, -3364161, 14550936, 3260525, -7166271), + array(-4910104, -13332887, 18550887, 10864893, -16459325, -7291596, -23028869, -13204905, -12748722, 2701326), + array(-8574695, 16099415, 4629974, -16340524, -20786213, -6005432, -10018363, 9276971, 11329923, 1862132), + ), + array( + array(14763076, -15903608, -30918270, 3689867, 3511892, 10313526, -21951088, 12219231, -9037963, -940300), + array(8894987, -3446094, 6150753, 3013931, 301220, 15693451, -31981216, -2909717, -15438168, 11595570), + array(15214962, 3537601, -26238722, -14058872, 4418657, -15230761, 13947276, 10730794, -13489462, -4363670), + ), + array( + array(-2538306, 7682793, 32759013, 263109, -29984731, -7955452, -22332124, -10188635, 977108, 699994), + array(-12466472, 4195084, -9211532, 550904, -15565337, 12917920, 19118110, -439841, -30534533, -14337913), + array(31788461, -14507657, 4799989, 7372237, 8808585, -14747943, 9408237, -10051775, 12493932, -5409317), + ), + array( + array(-25680606, 5260744, -19235809, -6284470, -3695942, 16566087, 27218280, 2607121, 29375955, 6024730), + array(842132, -2794693, -4763381, -8722815, 26332018, -12405641, 11831880, 6985184, -9940361, 2854096), + array(-4847262, -7969331, 2516242, -5847713, 9695691, -7221186, 16512645, 960770, 12121869, 16648078), + ), + array( + array(-15218652, 14667096, -13336229, 2013717, 30598287, -464137, -31504922, -7882064, 20237806, 2838411), + array(-19288047, 4453152, 15298546, -16178388, 22115043, -15972604, 12544294, -13470457, 1068881, -12499905), + array(-9558883, -16518835, 33238498, 13506958, 30505848, -1114596, -8486907, -2630053, 12521378, 4845654), + ), + array( + array(-28198521, 10744108, -2958380, 10199664, 7759311, -13088600, 3409348, -873400, -6482306, -12885870), + array(-23561822, 6230156, -20382013, 10655314, -24040585, -11621172, 10477734, -1240216, -3113227, 13974498), + array(12966261, 15550616, -32038948, -1615346, 21025980, -629444, 5642325, 7188737, 18895762, 12629579), + ), + ), + array( + array( + array(14741879, -14946887, 22177208, -11721237, 1279741, 8058600, 11758140, 789443, 32195181, 3895677), + array(10758205, 15755439, -4509950, 9243698, -4879422, 6879879, -2204575, -3566119, -8982069, 4429647), + array(-2453894, 15725973, -20436342, -10410672, -5803908, -11040220, -7135870, -11642895, 18047436, -15281743), + ), + array( + array(-25173001, -11307165, 29759956, 11776784, -22262383, -15820455, 10993114, -12850837, -17620701, -9408468), + array(21987233, 700364, -24505048, 14972008, -7774265, -5718395, 32155026, 2581431, -29958985, 8773375), + array(-25568350, 454463, -13211935, 16126715, 25240068, 8594567, 20656846, 12017935, -7874389, -13920155), + ), + array( + array(6028182, 6263078, -31011806, -11301710, -818919, 2461772, -31841174, -5468042, -1721788, -2776725), + array(-12278994, 16624277, 987579, -5922598, 32908203, 1248608, 7719845, -4166698, 28408820, 6816612), + array(-10358094, -8237829, 19549651, -12169222, 22082623, 16147817, 20613181, 13982702, -10339570, 5067943), + ), + array( + array(-30505967, -3821767, 12074681, 13582412, -19877972, 2443951, -19719286, 12746132, 5331210, -10105944), + array(30528811, 3601899, -1957090, 4619785, -27361822, -15436388, 24180793, -12570394, 27679908, -1648928), + array(9402404, -13957065, 32834043, 10838634, -26580150, -13237195, 26653274, -8685565, 22611444, -12715406), + ), + array( + array(22190590, 1118029, 22736441, 15130463, -30460692, -5991321, 19189625, -4648942, 4854859, 6622139), + array(-8310738, -2953450, -8262579, -3388049, -10401731, -271929, 13424426, -3567227, 26404409, 13001963), + array(-31241838, -15415700, -2994250, 8939346, 11562230, -12840670, -26064365, -11621720, -15405155, 11020693), + ), + array( + array(1866042, -7949489, -7898649, -10301010, 12483315, 13477547, 3175636, -12424163, 28761762, 1406734), + array(-448555, -1777666, 13018551, 3194501, -9580420, -11161737, 24760585, -4347088, 25577411, -13378680), + array(-24290378, 4759345, -690653, -1852816, 2066747, 10693769, -29595790, 9884936, -9368926, 4745410), + ), + array( + array(-9141284, 6049714, -19531061, -4341411, -31260798, 9944276, -15462008, -11311852, 10931924, -11931931), + array(-16561513, 14112680, -8012645, 4817318, -8040464, -11414606, -22853429, 10856641, -20470770, 13434654), + array(22759489, -10073434, -16766264, -1871422, 13637442, -10168091, 1765144, -12654326, 28445307, -5364710), + ), + array( + array(29875063, 12493613, 2795536, -3786330, 1710620, 15181182, -10195717, -8788675, 9074234, 1167180), + array(-26205683, 11014233, -9842651, -2635485, -26908120, 7532294, -18716888, -9535498, 3843903, 9367684), + array(-10969595, -6403711, 9591134, 9582310, 11349256, 108879, 16235123, 8601684, -139197, 4242895), + ), + ), + array( + array( + array(22092954, -13191123, -2042793, -11968512, 32186753, -11517388, -6574341, 2470660, -27417366, 16625501), + array(-11057722, 3042016, 13770083, -9257922, 584236, -544855, -7770857, 2602725, -27351616, 14247413), + array(6314175, -10264892, -32772502, 15957557, -10157730, 168750, -8618807, 14290061, 27108877, -1180880), + ), + array( + array(-8586597, -7170966, 13241782, 10960156, -32991015, -13794596, 33547976, -11058889, -27148451, 981874), + array(22833440, 9293594, -32649448, -13618667, -9136966, 14756819, -22928859, -13970780, -10479804, -16197962), + array(-7768587, 3326786, -28111797, 10783824, 19178761, 14905060, 22680049, 13906969, -15933690, 3797899), + ), + array( + array(21721356, -4212746, -12206123, 9310182, -3882239, -13653110, 23740224, -2709232, 20491983, -8042152), + array(9209270, -15135055, -13256557, -6167798, -731016, 15289673, 25947805, 15286587, 30997318, -6703063), + array(7392032, 16618386, 23946583, -8039892, -13265164, -1533858, -14197445, -2321576, 17649998, -250080), + ), + array( + array(-9301088, -14193827, 30609526, -3049543, -25175069, -1283752, -15241566, -9525724, -2233253, 7662146), + array(-17558673, 1763594, -33114336, 15908610, -30040870, -12174295, 7335080, -8472199, -3174674, 3440183), + array(-19889700, -5977008, -24111293, -9688870, 10799743, -16571957, 40450, -4431835, 4862400, 1133), + ), + array( + array(-32856209, -7873957, -5422389, 14860950, -16319031, 7956142, 7258061, 311861, -30594991, -7379421), + array(-3773428, -1565936, 28985340, 7499440, 24445838, 9325937, 29727763, 16527196, 18278453, 15405622), + array(-4381906, 8508652, -19898366, -3674424, -5984453, 15149970, -13313598, 843523, -21875062, 13626197), + ), + array( + array(2281448, -13487055, -10915418, -2609910, 1879358, 16164207, -10783882, 3953792, 13340839, 15928663), + array(31727126, -7179855, -18437503, -8283652, 2875793, -16390330, -25269894, -7014826, -23452306, 5964753), + array(4100420, -5959452, -17179337, 6017714, -18705837, 12227141, -26684835, 11344144, 2538215, -7570755), + ), + array( + array(-9433605, 6123113, 11159803, -2156608, 30016280, 14966241, -20474983, 1485421, -629256, -15958862), + array(-26804558, 4260919, 11851389, 9658551, -32017107, 16367492, -20205425, -13191288, 11659922, -11115118), + array(26180396, 10015009, -30844224, -8581293, 5418197, 9480663, 2231568, -10170080, 33100372, -1306171), + ), + array( + array(15121113, -5201871, -10389905, 15427821, -27509937, -15992507, 21670947, 4486675, -5931810, -14466380), + array(16166486, -9483733, -11104130, 6023908, -31926798, -1364923, 2340060, -16254968, -10735770, -10039824), + array(28042865, -3557089, -12126526, 12259706, -3717498, -6945899, 6766453, -8689599, 18036436, 5803270), + ), + ), + array( + array( + array(-817581, 6763912, 11803561, 1585585, 10958447, -2671165, 23855391, 4598332, -6159431, -14117438), + array(-31031306, -14256194, 17332029, -2383520, 31312682, -5967183, 696309, 50292, -20095739, 11763584), + array(-594563, -2514283, -32234153, 12643980, 12650761, 14811489, 665117, -12613632, -19773211, -10713562), + ), + array( + array(30464590, -11262872, -4127476, -12734478, 19835327, -7105613, -24396175, 2075773, -17020157, 992471), + array(18357185, -6994433, 7766382, 16342475, -29324918, 411174, 14578841, 8080033, -11574335, -10601610), + array(19598397, 10334610, 12555054, 2555664, 18821899, -10339780, 21873263, 16014234, 26224780, 16452269), + ), + array( + array(-30223925, 5145196, 5944548, 16385966, 3976735, 2009897, -11377804, -7618186, -20533829, 3698650), + array(14187449, 3448569, -10636236, -10810935, -22663880, -3433596, 7268410, -10890444, 27394301, 12015369), + array(19695761, 16087646, 28032085, 12999827, 6817792, 11427614, 20244189, -1312777, -13259127, -3402461), + ), + array( + array(30860103, 12735208, -1888245, -4699734, -16974906, 2256940, -8166013, 12298312, -8550524, -10393462), + array(-5719826, -11245325, -1910649, 15569035, 26642876, -7587760, -5789354, -15118654, -4976164, 12651793), + array(-2848395, 9953421, 11531313, -5282879, 26895123, -12697089, -13118820, -16517902, 9768698, -2533218), + ), + array( + array(-24719459, 1894651, -287698, -4704085, 15348719, -8156530, 32767513, 12765450, 4940095, 10678226), + array(18860224, 15980149, -18987240, -1562570, -26233012, -11071856, -7843882, 13944024, -24372348, 16582019), + array(-15504260, 4970268, -29893044, 4175593, -20993212, -2199756, -11704054, 15444560, -11003761, 7989037), + ), + array( + array(31490452, 5568061, -2412803, 2182383, -32336847, 4531686, -32078269, 6200206, -19686113, -14800171), + array(-17308668, -15879940, -31522777, -2831, -32887382, 16375549, 8680158, -16371713, 28550068, -6857132), + array(-28126887, -5688091, 16837845, -1820458, -6850681, 12700016, -30039981, 4364038, 1155602, 5988841), + ), + array( + array(21890435, -13272907, -12624011, 12154349, -7831873, 15300496, 23148983, -4470481, 24618407, 8283181), + array(-33136107, -10512751, 9975416, 6841041, -31559793, 16356536, 3070187, -7025928, 1466169, 10740210), + array(-1509399, -15488185, -13503385, -10655916, 32799044, 909394, -13938903, -5779719, -32164649, -15327040), + ), + array( + array(3960823, -14267803, -28026090, -15918051, -19404858, 13146868, 15567327, 951507, -3260321, -573935), + array(24740841, 5052253, -30094131, 8961361, 25877428, 6165135, -24368180, 14397372, -7380369, -6144105), + array(-28888365, 3510803, -28103278, -1158478, -11238128, -10631454, -15441463, -14453128, -1625486, -6494814), + ), + ), + array( + array( + array(793299, -9230478, 8836302, -6235707, -27360908, -2369593, 33152843, -4885251, -9906200, -621852), + array(5666233, 525582, 20782575, -8038419, -24538499, 14657740, 16099374, 1468826, -6171428, -15186581), + array(-4859255, -3779343, -2917758, -6748019, 7778750, 11688288, -30404353, -9871238, -1558923, -9863646), + ), + array( + array(10896332, -7719704, 824275, 472601, -19460308, 3009587, 25248958, 14783338, -30581476, -15757844), + array(10566929, 12612572, -31944212, 11118703, -12633376, 12362879, 21752402, 8822496, 24003793, 14264025), + array(27713862, -7355973, -11008240, 9227530, 27050101, 2504721, 23886875, -13117525, 13958495, -5732453), + ), + array( + array(-23481610, 4867226, -27247128, 3900521, 29838369, -8212291, -31889399, -10041781, 7340521, -15410068), + array(4646514, -8011124, -22766023, -11532654, 23184553, 8566613, 31366726, -1381061, -15066784, -10375192), + array(-17270517, 12723032, -16993061, 14878794, 21619651, -6197576, 27584817, 3093888, -8843694, 3849921), + ), + array( + array(-9064912, 2103172, 25561640, -15125738, -5239824, 9582958, 32477045, -9017955, 5002294, -15550259), + array(-12057553, -11177906, 21115585, -13365155, 8808712, -12030708, 16489530, 13378448, -25845716, 12741426), + array(-5946367, 10645103, -30911586, 15390284, -3286982, -7118677, 24306472, 15852464, 28834118, -7646072), + ), + array( + array(-17335748, -9107057, -24531279, 9434953, -8472084, -583362, -13090771, 455841, 20461858, 5491305), + array(13669248, -16095482, -12481974, -10203039, -14569770, -11893198, -24995986, 11293807, -28588204, -9421832), + array(28497928, 6272777, -33022994, 14470570, 8906179, -1225630, 18504674, -14165166, 29867745, -8795943), + ), + array( + array(-16207023, 13517196, -27799630, -13697798, 24009064, -6373891, -6367600, -13175392, 22853429, -4012011), + array(24191378, 16712145, -13931797, 15217831, 14542237, 1646131, 18603514, -11037887, 12876623, -2112447), + array(17902668, 4518229, -411702, -2829247, 26878217, 5258055, -12860753, 608397, 16031844, 3723494), + ), + array( + array(-28632773, 12763728, -20446446, 7577504, 33001348, -13017745, 17558842, -7872890, 23896954, -4314245), + array(-20005381, -12011952, 31520464, 605201, 2543521, 5991821, -2945064, 7229064, -9919646, -8826859), + array(28816045, 298879, -28165016, -15920938, 19000928, -1665890, -12680833, -2949325, -18051778, -2082915), + ), + array( + array(16000882, -344896, 3493092, -11447198, -29504595, -13159789, 12577740, 16041268, -19715240, 7847707), + array(10151868, 10572098, 27312476, 7922682, 14825339, 4723128, -32855931, -6519018, -10020567, 3852848), + array(-11430470, 15697596, -21121557, -4420647, 5386314, 15063598, 16514493, -15932110, 29330899, -15076224), + ), + ), + array( + array( + array(-25499735, -4378794, -15222908, -6901211, 16615731, 2051784, 3303702, 15490, -27548796, 12314391), + array(15683520, -6003043, 18109120, -9980648, 15337968, -5997823, -16717435, 15921866, 16103996, -3731215), + array(-23169824, -10781249, 13588192, -1628807, -3798557, -1074929, -19273607, 5402699, -29815713, -9841101), + ), + array( + array(23190676, 2384583, -32714340, 3462154, -29903655, -1529132, -11266856, 8911517, -25205859, 2739713), + array(21374101, -3554250, -33524649, 9874411, 15377179, 11831242, -33529904, 6134907, 4931255, 11987849), + array(-7732, -2978858, -16223486, 7277597, 105524, -322051, -31480539, 13861388, -30076310, 10117930), + ), + array( + array(-29501170, -10744872, -26163768, 13051539, -25625564, 5089643, -6325503, 6704079, 12890019, 15728940), + array(-21972360, -11771379, -951059, -4418840, 14704840, 2695116, 903376, -10428139, 12885167, 8311031), + array(-17516482, 5352194, 10384213, -13811658, 7506451, 13453191, 26423267, 4384730, 1888765, -5435404), + ), + array( + array(-25817338, -3107312, -13494599, -3182506, 30896459, -13921729, -32251644, -12707869, -19464434, -3340243), + array(-23607977, -2665774, -526091, 4651136, 5765089, 4618330, 6092245, 14845197, 17151279, -9854116), + array(-24830458, -12733720, -15165978, 10367250, -29530908, -265356, 22825805, -7087279, -16866484, 16176525), + ), + array( + array(-23583256, 6564961, 20063689, 3798228, -4740178, 7359225, 2006182, -10363426, -28746253, -10197509), + array(-10626600, -4486402, -13320562, -5125317, 3432136, -6393229, 23632037, -1940610, 32808310, 1099883), + array(15030977, 5768825, -27451236, -2887299, -6427378, -15361371, -15277896, -6809350, 2051441, -15225865), + ), + array( + array(-3362323, -7239372, 7517890, 9824992, 23555850, 295369, 5148398, -14154188, -22686354, 16633660), + array(4577086, -16752288, 13249841, -15304328, 19958763, -14537274, 18559670, -10759549, 8402478, -9864273), + array(-28406330, -1051581, -26790155, -907698, -17212414, -11030789, 9453451, -14980072, 17983010, 9967138), + ), + array( + array(-25762494, 6524722, 26585488, 9969270, 24709298, 1220360, -1677990, 7806337, 17507396, 3651560), + array(-10420457, -4118111, 14584639, 15971087, -15768321, 8861010, 26556809, -5574557, -18553322, -11357135), + array(2839101, 14284142, 4029895, 3472686, 14402957, 12689363, -26642121, 8459447, -5605463, -7621941), + ), + array( + array(-4839289, -3535444, 9744961, 2871048, 25113978, 3187018, -25110813, -849066, 17258084, -7977739), + array(18164541, -10595176, -17154882, -1542417, 19237078, -9745295, 23357533, -15217008, 26908270, 12150756), + array(-30264870, -7647865, 5112249, -7036672, -1499807, -6974257, 43168, -5537701, -32302074, 16215819), + ), + ), + array( + array( + array(-6898905, 9824394, -12304779, -4401089, -31397141, -6276835, 32574489, 12532905, -7503072, -8675347), + array(-27343522, -16515468, -27151524, -10722951, 946346, 16291093, 254968, 7168080, 21676107, -1943028), + array(21260961, -8424752, -16831886, -11920822, -23677961, 3968121, -3651949, -6215466, -3556191, -7913075), + ), + array( + array(16544754, 13250366, -16804428, 15546242, -4583003, 12757258, -2462308, -8680336, -18907032, -9662799), + array(-2415239, -15577728, 18312303, 4964443, -15272530, -12653564, 26820651, 16690659, 25459437, -4564609), + array(-25144690, 11425020, 28423002, -11020557, -6144921, -15826224, 9142795, -2391602, -6432418, -1644817), + ), + array( + array(-23104652, 6253476, 16964147, -3768872, -25113972, -12296437, -27457225, -16344658, 6335692, 7249989), + array(-30333227, 13979675, 7503222, -12368314, -11956721, -4621693, -30272269, 2682242, 25993170, -12478523), + array(4364628, 5930691, 32304656, -10044554, -8054781, 15091131, 22857016, -10598955, 31820368, 15075278), + ), + array( + array(31879134, -8918693, 17258761, 90626, -8041836, -4917709, 24162788, -9650886, -17970238, 12833045), + array(19073683, 14851414, -24403169, -11860168, 7625278, 11091125, -19619190, 2074449, -9413939, 14905377), + array(24483667, -11935567, -2518866, -11547418, -1553130, 15355506, -25282080, 9253129, 27628530, -7555480), + ), + array( + array(17597607, 8340603, 19355617, 552187, 26198470, -3176583, 4593324, -9157582, -14110875, 15297016), + array(510886, 14337390, -31785257, 16638632, 6328095, 2713355, -20217417, -11864220, 8683221, 2921426), + array(18606791, 11874196, 27155355, -5281482, -24031742, 6265446, -25178240, -1278924, 4674690, 13890525), + ), + array( + array(13609624, 13069022, -27372361, -13055908, 24360586, 9592974, 14977157, 9835105, 4389687, 288396), + array(9922506, -519394, 13613107, 5883594, -18758345, -434263, -12304062, 8317628, 23388070, 16052080), + array(12720016, 11937594, -31970060, -5028689, 26900120, 8561328, -20155687, -11632979, -14754271, -10812892), + ), + array( + array(15961858, 14150409, 26716931, -665832, -22794328, 13603569, 11829573, 7467844, -28822128, 929275), + array(11038231, -11582396, -27310482, -7316562, -10498527, -16307831, -23479533, -9371869, -21393143, 2465074), + array(20017163, -4323226, 27915242, 1529148, 12396362, 15675764, 13817261, -9658066, 2463391, -4622140), + ), + array( + array(-16358878, -12663911, -12065183, 4996454, -1256422, 1073572, 9583558, 12851107, 4003896, 12673717), + array(-1731589, -15155870, -3262930, 16143082, 19294135, 13385325, 14741514, -9103726, 7903886, 2348101), + array(24536016, -16515207, 12715592, -3862155, 1511293, 10047386, -3842346, -7129159, -28377538, 10048127), + ), + ), + array( + array( + array(-12622226, -6204820, 30718825, 2591312, -10617028, 12192840, 18873298, -7297090, -32297756, 15221632), + array(-26478122, -11103864, 11546244, -1852483, 9180880, 7656409, -21343950, 2095755, 29769758, 6593415), + array(-31994208, -2907461, 4176912, 3264766, 12538965, -868111, 26312345, -6118678, 30958054, 8292160), + ), + array( + array(31429822, -13959116, 29173532, 15632448, 12174511, -2760094, 32808831, 3977186, 26143136, -3148876), + array(22648901, 1402143, -22799984, 13746059, 7936347, 365344, -8668633, -1674433, -3758243, -2304625), + array(-15491917, 8012313, -2514730, -12702462, -23965846, -10254029, -1612713, -1535569, -16664475, 8194478), + ), + array( + array(27338066, -7507420, -7414224, 10140405, -19026427, -6589889, 27277191, 8855376, 28572286, 3005164), + array(26287124, 4821776, 25476601, -4145903, -3764513, -15788984, -18008582, 1182479, -26094821, -13079595), + array(-7171154, 3178080, 23970071, 6201893, -17195577, -4489192, -21876275, -13982627, 32208683, -1198248), + ), + array( + array(-16657702, 2817643, -10286362, 14811298, 6024667, 13349505, -27315504, -10497842, -27672585, -11539858), + array(15941029, -9405932, -21367050, 8062055, 31876073, -238629, -15278393, -1444429, 15397331, -4130193), + array(8934485, -13485467, -23286397, -13423241, -32446090, 14047986, 31170398, -1441021, -27505566, 15087184), + ), + array( + array(-18357243, -2156491, 24524913, -16677868, 15520427, -6360776, -15502406, 11461896, 16788528, -5868942), + array(-1947386, 16013773, 21750665, 3714552, -17401782, -16055433, -3770287, -10323320, 31322514, -11615635), + array(21426655, -5650218, -13648287, -5347537, -28812189, -4920970, -18275391, -14621414, 13040862, -12112948), + ), + array( + array(11293895, 12478086, -27136401, 15083750, -29307421, 14748872, 14555558, -13417103, 1613711, 4896935), + array(-25894883, 15323294, -8489791, -8057900, 25967126, -13425460, 2825960, -4897045, -23971776, -11267415), + array(-15924766, -5229880, -17443532, 6410664, 3622847, 10243618, 20615400, 12405433, -23753030, -8436416), + ), + array( + array(-7091295, 12556208, -20191352, 9025187, -17072479, 4333801, 4378436, 2432030, 23097949, -566018), + array(4565804, -16025654, 20084412, -7842817, 1724999, 189254, 24767264, 10103221, -18512313, 2424778), + array(366633, -11976806, 8173090, -6890119, 30788634, 5745705, -7168678, 1344109, -3642553, 12412659), + ), + array( + array(-24001791, 7690286, 14929416, -168257, -32210835, -13412986, 24162697, -15326504, -3141501, 11179385), + array(18289522, -14724954, 8056945, 16430056, -21729724, 7842514, -6001441, -1486897, -18684645, -11443503), + array(476239, 6601091, -6152790, -9723375, 17503545, -4863900, 27672959, 13403813, 11052904, 5219329), + ), + ), + array( + array( + array(20678546, -8375738, -32671898, 8849123, -5009758, 14574752, 31186971, -3973730, 9014762, -8579056), + array(-13644050, -10350239, -15962508, 5075808, -1514661, -11534600, -33102500, 9160280, 8473550, -3256838), + array(24900749, 14435722, 17209120, -15292541, -22592275, 9878983, -7689309, -16335821, -24568481, 11788948), + ), + array( + array(-3118155, -11395194, -13802089, 14797441, 9652448, -6845904, -20037437, 10410733, -24568470, -1458691), + array(-15659161, 16736706, -22467150, 10215878, -9097177, 7563911, 11871841, -12505194, -18513325, 8464118), + array(-23400612, 8348507, -14585951, -861714, -3950205, -6373419, 14325289, 8628612, 33313881, -8370517), + ), + array( + array(-20186973, -4967935, 22367356, 5271547, -1097117, -4788838, -24805667, -10236854, -8940735, -5818269), + array(-6948785, -1795212, -32625683, -16021179, 32635414, -7374245, 15989197, -12838188, 28358192, -4253904), + array(-23561781, -2799059, -32351682, -1661963, -9147719, 10429267, -16637684, 4072016, -5351664, 5596589), + ), + array( + array(-28236598, -3390048, 12312896, 6213178, 3117142, 16078565, 29266239, 2557221, 1768301, 15373193), + array(-7243358, -3246960, -4593467, -7553353, -127927, -912245, -1090902, -4504991, -24660491, 3442910), + array(-30210571, 5124043, 14181784, 8197961, 18964734, -11939093, 22597931, 7176455, -18585478, 13365930), + ), + array( + array(-7877390, -1499958, 8324673, 4690079, 6261860, 890446, 24538107, -8570186, -9689599, -3031667), + array(25008904, -10771599, -4305031, -9638010, 16265036, 15721635, 683793, -11823784, 15723479, -15163481), + array(-9660625, 12374379, -27006999, -7026148, -7724114, -12314514, 11879682, 5400171, 519526, -1235876), + ), + array( + array(22258397, -16332233, -7869817, 14613016, -22520255, -2950923, -20353881, 7315967, 16648397, 7605640), + array(-8081308, -8464597, -8223311, 9719710, 19259459, -15348212, 23994942, -5281555, -9468848, 4763278), + array(-21699244, 9220969, -15730624, 1084137, -25476107, -2852390, 31088447, -7764523, -11356529, 728112), + ), + array( + array(26047220, -11751471, -6900323, -16521798, 24092068, 9158119, -4273545, -12555558, -29365436, -5498272), + array(17510331, -322857, 5854289, 8403524, 17133918, -3112612, -28111007, 12327945, 10750447, 10014012), + array(-10312768, 3936952, 9156313, -8897683, 16498692, -994647, -27481051, -666732, 3424691, 7540221), + ), + array( + array(30322361, -6964110, 11361005, -4143317, 7433304, 4989748, -7071422, -16317219, -9244265, 15258046), + array(13054562, -2779497, 19155474, 469045, -12482797, 4566042, 5631406, 2711395, 1062915, -5136345), + array(-19240248, -11254599, -29509029, -7499965, -5835763, 13005411, -6066489, 12194497, 32960380, 1459310), + ), + ), + array( + array( + array(19852034, 7027924, 23669353, 10020366, 8586503, -6657907, 394197, -6101885, 18638003, -11174937), + array(31395534, 15098109, 26581030, 8030562, -16527914, -5007134, 9012486, -7584354, -6643087, -5442636), + array(-9192165, -2347377, -1997099, 4529534, 25766844, 607986, -13222, 9677543, -32294889, -6456008), + ), + array( + array(-2444496, -149937, 29348902, 8186665, 1873760, 12489863, -30934579, -7839692, -7852844, -8138429), + array(-15236356, -15433509, 7766470, 746860, 26346930, -10221762, -27333451, 10754588, -9431476, 5203576), + array(31834314, 14135496, -770007, 5159118, 20917671, -16768096, -7467973, -7337524, 31809243, 7347066), + ), + array( + array(-9606723, -11874240, 20414459, 13033986, 13716524, -11691881, 19797970, -12211255, 15192876, -2087490), + array(-12663563, -2181719, 1168162, -3804809, 26747877, -14138091, 10609330, 12694420, 33473243, -13382104), + array(33184999, 11180355, 15832085, -11385430, -1633671, 225884, 15089336, -11023903, -6135662, 14480053), + ), + array( + array(31308717, -5619998, 31030840, -1897099, 15674547, -6582883, 5496208, 13685227, 27595050, 8737275), + array(-20318852, -15150239, 10933843, -16178022, 8335352, -7546022, -31008351, -12610604, 26498114, 66511), + array(22644454, -8761729, -16671776, 4884562, -3105614, -13559366, 30540766, -4286747, -13327787, -7515095), + ), + array( + array(-28017847, 9834845, 18617207, -2681312, -3401956, -13307506, 8205540, 13585437, -17127465, 15115439), + array(23711543, -672915, 31206561, -8362711, 6164647, -9709987, -33535882, -1426096, 8236921, 16492939), + array(-23910559, -13515526, -26299483, -4503841, 25005590, -7687270, 19574902, 10071562, 6708380, -6222424), + ), + array( + array(2101391, -4930054, 19702731, 2367575, -15427167, 1047675, 5301017, 9328700, 29955601, -11678310), + array(3096359, 9271816, -21620864, -15521844, -14847996, -7592937, -25892142, -12635595, -9917575, 6216608), + array(-32615849, 338663, -25195611, 2510422, -29213566, -13820213, 24822830, -6146567, -26767480, 7525079), + ), + array( + array(-23066649, -13985623, 16133487, -7896178, -3389565, 778788, -910336, -2782495, -19386633, 11994101), + array(21691500, -13624626, -641331, -14367021, 3285881, -3483596, -25064666, 9718258, -7477437, 13381418), + array(18445390, -4202236, 14979846, 11622458, -1727110, -3582980, 23111648, -6375247, 28535282, 15779576), + ), + array( + array(30098053, 3089662, -9234387, 16662135, -21306940, 11308411, -14068454, 12021730, 9955285, -16303356), + array(9734894, -14576830, -7473633, -9138735, 2060392, 11313496, -18426029, 9924399, 20194861, 13380996), + array(-26378102, -7965207, -22167821, 15789297, -18055342, -6168792, -1984914, 15707771, 26342023, 10146099), + ), + ), + array( + array( + array(-26016874, -219943, 21339191, -41388, 19745256, -2878700, -29637280, 2227040, 21612326, -545728), + array(-13077387, 1184228, 23562814, -5970442, -20351244, -6348714, 25764461, 12243797, -20856566, 11649658), + array(-10031494, 11262626, 27384172, 2271902, 26947504, -15997771, 39944, 6114064, 33514190, 2333242), + ), + array( + array(-21433588, -12421821, 8119782, 7219913, -21830522, -9016134, -6679750, -12670638, 24350578, -13450001), + array(-4116307, -11271533, -23886186, 4843615, -30088339, 690623, -31536088, -10406836, 8317860, 12352766), + array(18200138, -14475911, -33087759, -2696619, -23702521, -9102511, -23552096, -2287550, 20712163, 6719373), + ), + array( + array(26656208, 6075253, -7858556, 1886072, -28344043, 4262326, 11117530, -3763210, 26224235, -3297458), + array(-17168938, -14854097, -3395676, -16369877, -19954045, 14050420, 21728352, 9493610, 18620611, -16428628), + array(-13323321, 13325349, 11432106, 5964811, 18609221, 6062965, -5269471, -9725556, -30701573, -16479657), + ), + array( + array(-23860538, -11233159, 26961357, 1640861, -32413112, -16737940, 12248509, -5240639, 13735342, 1934062), + array(25089769, 6742589, 17081145, -13406266, 21909293, -16067981, -15136294, -3765346, -21277997, 5473616), + array(31883677, -7961101, 1083432, -11572403, 22828471, 13290673, -7125085, 12469656, 29111212, -5451014), + ), + array( + array(24244947, -15050407, -26262976, 2791540, -14997599, 16666678, 24367466, 6388839, -10295587, 452383), + array(-25640782, -3417841, 5217916, 16224624, 19987036, -4082269, -24236251, -5915248, 15766062, 8407814), + array(-20406999, 13990231, 15495425, 16395525, 5377168, 15166495, -8917023, -4388953, -8067909, 2276718), + ), + array( + array(30157918, 12924066, -17712050, 9245753, 19895028, 3368142, -23827587, 5096219, 22740376, -7303417), + array(2041139, -14256350, 7783687, 13876377, -25946985, -13352459, 24051124, 13742383, -15637599, 13295222), + array(33338237, -8505733, 12532113, 7977527, 9106186, -1715251, -17720195, -4612972, -4451357, -14669444), + ), + array( + array(-20045281, 5454097, -14346548, 6447146, 28862071, 1883651, -2469266, -4141880, 7770569, 9620597), + array(23208068, 7979712, 33071466, 8149229, 1758231, -10834995, 30945528, -1694323, -33502340, -14767970), + array(1439958, -16270480, -1079989, -793782, 4625402, 10647766, -5043801, 1220118, 30494170, -11440799), + ), + array( + array(-5037580, -13028295, -2970559, -3061767, 15640974, -6701666, -26739026, 926050, -1684339, -13333647), + array(13908495, -3549272, 30919928, -6273825, -21521863, 7989039, 9021034, 9078865, 3353509, 4033511), + array(-29663431, -15113610, 32259991, -344482, 24295849, -12912123, 23161163, 8839127, 27485041, 7356032), + ), + ), + array( + array( + array(9661027, 705443, 11980065, -5370154, -1628543, 14661173, -6346142, 2625015, 28431036, -16771834), + array(-23839233, -8311415, -25945511, 7480958, -17681669, -8354183, -22545972, 14150565, 15970762, 4099461), + array(29262576, 16756590, 26350592, -8793563, 8529671, -11208050, 13617293, -9937143, 11465739, 8317062), + ), + array( + array(-25493081, -6962928, 32500200, -9419051, -23038724, -2302222, 14898637, 3848455, 20969334, -5157516), + array(-20384450, -14347713, -18336405, 13884722, -33039454, 2842114, -21610826, -3649888, 11177095, 14989547), + array(-24496721, -11716016, 16959896, 2278463, 12066309, 10137771, 13515641, 2581286, -28487508, 9930240), + ), + array( + array(-17751622, -2097826, 16544300, -13009300, -15914807, -14949081, 18345767, -13403753, 16291481, -5314038), + array(-33229194, 2553288, 32678213, 9875984, 8534129, 6889387, -9676774, 6957617, 4368891, 9788741), + array(16660756, 7281060, -10830758, 12911820, 20108584, -8101676, -21722536, -8613148, 16250552, -11111103), + ), + array( + array(-19765507, 2390526, -16551031, 14161980, 1905286, 6414907, 4689584, 10604807, -30190403, 4782747), + array(-1354539, 14736941, -7367442, -13292886, 7710542, -14155590, -9981571, 4383045, 22546403, 437323), + array(31665577, -12180464, -16186830, 1491339, -18368625, 3294682, 27343084, 2786261, -30633590, -14097016), + ), + array( + array(-14467279, -683715, -33374107, 7448552, 19294360, 14334329, -19690631, 2355319, -19284671, -6114373), + array(15121312, -15796162, 6377020, -6031361, -10798111, -12957845, 18952177, 15496498, -29380133, 11754228), + array(-2637277, -13483075, 8488727, -14303896, 12728761, -1622493, 7141596, 11724556, 22761615, -10134141), + ), + array( + array(16918416, 11729663, -18083579, 3022987, -31015732, -13339659, -28741185, -12227393, 32851222, 11717399), + array(11166634, 7338049, -6722523, 4531520, -29468672, -7302055, 31474879, 3483633, -1193175, -4030831), + array(-185635, 9921305, 31456609, -13536438, -12013818, 13348923, 33142652, 6546660, -19985279, -3948376), + ), + array( + array(-32460596, 11266712, -11197107, -7899103, 31703694, 3855903, -8537131, -12833048, -30772034, -15486313), + array(-18006477, 12709068, 3991746, -6479188, -21491523, -10550425, -31135347, -16049879, 10928917, 3011958), + array(-6957757, -15594337, 31696059, 334240, 29576716, 14796075, -30831056, -12805180, 18008031, 10258577), + ), + array( + array(-22448644, 15655569, 7018479, -4410003, -30314266, -1201591, -1853465, 1367120, 25127874, 6671743), + array(29701166, -14373934, -10878120, 9279288, -17568, 13127210, 21382910, 11042292, 25838796, 4642684), + array(-20430234, 14955537, -24126347, 8124619, -5369288, -5990470, 30468147, -13900640, 18423289, 4177476), + ), + ) + ); + + /** + * See: libsodium's crypto_core/curve25519/ref10/base2.h + * + * @var array<int, array<int, array<int, int>>> basically int[8][3] + */ + protected static $base2 = array( + array( + array(25967493, -14356035, 29566456, 3660896, -12694345, 4014787, 27544626, -11754271, -6079156, 2047605), + array(-12545711, 934262, -2722910, 3049990, -727428, 9406986, 12720692, 5043384, 19500929, -15469378), + array(-8738181, 4489570, 9688441, -14785194, 10184609, -12363380, 29287919, 11864899, -24514362, -4438546), + ), + array( + array(15636291, -9688557, 24204773, -7912398, 616977, -16685262, 27787600, -14772189, 28944400, -1550024), + array(16568933, 4717097, -11556148, -1102322, 15682896, -11807043, 16354577, -11775962, 7689662, 11199574), + array(30464156, -5976125, -11779434, -15670865, 23220365, 15915852, 7512774, 10017326, -17749093, -9920357), + ), + array( + array(10861363, 11473154, 27284546, 1981175, -30064349, 12577861, 32867885, 14515107, -15438304, 10819380), + array(4708026, 6336745, 20377586, 9066809, -11272109, 6594696, -25653668, 12483688, -12668491, 5581306), + array(19563160, 16186464, -29386857, 4097519, 10237984, -4348115, 28542350, 13850243, -23678021, -15815942), + ), + array( + array(5153746, 9909285, 1723747, -2777874, 30523605, 5516873, 19480852, 5230134, -23952439, -15175766), + array(-30269007, -3463509, 7665486, 10083793, 28475525, 1649722, 20654025, 16520125, 30598449, 7715701), + array(28881845, 14381568, 9657904, 3680757, -20181635, 7843316, -31400660, 1370708, 29794553, -1409300), + ), + array( + array(-22518993, -6692182, 14201702, -8745502, -23510406, 8844726, 18474211, -1361450, -13062696, 13821877), + array(-6455177, -7839871, 3374702, -4740862, -27098617, -10571707, 31655028, -7212327, 18853322, -14220951), + array(4566830, -12963868, -28974889, -12240689, -7602672, -2830569, -8514358, -10431137, 2207753, -3209784), + ), + array( + array(-25154831, -4185821, 29681144, 7868801, -6854661, -9423865, -12437364, -663000, -31111463, -16132436), + array(25576264, -2703214, 7349804, -11814844, 16472782, 9300885, 3844789, 15725684, 171356, 6466918), + array(23103977, 13316479, 9739013, -16149481, 817875, -15038942, 8965339, -14088058, -30714912, 16193877), + ), + array( + array(-33521811, 3180713, -2394130, 14003687, -16903474, -16270840, 17238398, 4729455, -18074513, 9256800), + array(-25182317, -4174131, 32336398, 5036987, -21236817, 11360617, 22616405, 9761698, -19827198, 630305), + array(-13720693, 2639453, -24237460, -7406481, 9494427, -5774029, -6554551, -15960994, -2449256, -14291300), + ), + array( + array(-3151181, -5046075, 9282714, 6866145, -31907062, -863023, -18940575, 15033784, 25105118, -7894876), + array(-24326370, 15950226, -31801215, -14592823, -11662737, -5090925, 1573892, -2625887, 2198790, -15804619), + array(-3099351, 10324967, -2241613, 7453183, -5446979, -2735503, -13812022, -16236442, -32461234, -12290683), + ) + ); + + /** + * 37095705934669439343138083508754565189542113879843219016388785533085940283555 + * + * @var array<int, int> + */ + protected static $d = array( + -10913610, + 13857413, + -15372611, + 6949391, + 114729, + -8787816, + -6275908, + -3247719, + -18696448, + -12055116 + ); + + /** + * 2 * d = 16295367250680780974490674513165176452449235426866156013048779062215315747161 + * + * @var array<int, int> + */ + protected static $d2 = array( + -21827239, + -5839606, + -30745221, + 13898782, + 229458, + 15978800, + -12551817, + -6495438, + 29715968, + 9444199 + ); + + /** + * sqrt(-1) + * + * @var array<int, int> + */ + protected static $sqrtm1 = array( + -32595792, + -7943725, + 9377950, + 3500415, + 12389472, + -272473, + -25146209, + -2005654, + 326686, + 11406482 + ); +} diff --git a/vendor/paragonie/sodium_compat/src/Core32/Curve25519/README.md b/vendor/paragonie/sodium_compat/src/Core32/Curve25519/README.md new file mode 100644 index 0000000..e8097fa --- /dev/null +++ b/vendor/paragonie/sodium_compat/src/Core32/Curve25519/README.md @@ -0,0 +1,3 @@ +# Curve25519 Data Structures + +These are PHP implementation of the [structs used in the ref10 curve25519 code](https://github.com/jedisct1/libsodium/blob/master/src/libsodium/include/sodium/private/curve25519_ref10.h). diff --git a/vendor/paragonie/sodium_compat/src/Core32/Ed25519.php b/vendor/paragonie/sodium_compat/src/Core32/Ed25519.php new file mode 100644 index 0000000..284ff14 --- /dev/null +++ b/vendor/paragonie/sodium_compat/src/Core32/Ed25519.php @@ -0,0 +1,482 @@ +<?php
+
+if (class_exists('ParagonIE_Sodium_Core32_Ed25519', false)) {
+ return;
+}
+
+/**
+ * Class ParagonIE_Sodium_Core32_Ed25519
+ */
+abstract class ParagonIE_Sodium_Core32_Ed25519 extends ParagonIE_Sodium_Core32_Curve25519
+{
+ const KEYPAIR_BYTES = 96;
+ const SEED_BYTES = 32;
+
+ /**
+ * @internal You should not use this directly from another application
+ *
+ * @return string (96 bytes)
+ * @throws Exception
+ * @throws SodiumException
+ * @throws TypeError
+ */
+ public static function keypair()
+ {
+ $seed = random_bytes(self::SEED_BYTES);
+ $pk = '';
+ $sk = '';
+ self::seed_keypair($pk, $sk, $seed);
+ return $sk . $pk;
+ }
+
+ /**
+ * @internal You should not use this directly from another application
+ *
+ * @param string $pk
+ * @param string $sk
+ * @param string $seed
+ * @return string
+ * @throws SodiumException
+ * @throws TypeError
+ */
+ public static function seed_keypair(&$pk, &$sk, $seed)
+ {
+ if (self::strlen($seed) !== self::SEED_BYTES) {
+ throw new RangeException('crypto_sign keypair seed must be 32 bytes long');
+ }
+
+ /** @var string $pk */
+ $pk = self::publickey_from_secretkey($seed);
+ $sk = $seed . $pk;
+ return $sk;
+ }
+
+ /**
+ * @internal You should not use this directly from another application
+ *
+ * @param string $keypair
+ * @return string
+ * @throws TypeError
+ */
+ public static function secretkey($keypair)
+ {
+ if (self::strlen($keypair) !== self::KEYPAIR_BYTES) {
+ throw new RangeException('crypto_sign keypair must be 96 bytes long');
+ }
+ return self::substr($keypair, 0, 64);
+ }
+
+ /**
+ * @internal You should not use this directly from another application
+ *
+ * @param string $keypair
+ * @return string
+ * @throws RangeException
+ * @throws TypeError
+ */
+ public static function publickey($keypair)
+ {
+ if (self::strlen($keypair) !== self::KEYPAIR_BYTES) {
+ throw new RangeException('crypto_sign keypair must be 96 bytes long');
+ }
+ return self::substr($keypair, 64, 32);
+ }
+
+ /**
+ * @internal You should not use this directly from another application
+ *
+ * @param string $sk
+ * @return string
+ * @throws SodiumException
+ * @throws TypeError
+ */
+ public static function publickey_from_secretkey($sk)
+ {
+ /** @var string $sk */
+ $sk = hash('sha512', self::substr($sk, 0, 32), true);
+ $sk[0] = self::intToChr(
+ self::chrToInt($sk[0]) & 248
+ );
+ $sk[31] = self::intToChr(
+ (self::chrToInt($sk[31]) & 63) | 64
+ );
+ return self::sk_to_pk($sk);
+ }
+
+ /**
+ * @param string $pk
+ * @return string
+ * @throws SodiumException
+ * @throws TypeError
+ */
+ public static function pk_to_curve25519($pk)
+ {
+ if (self::small_order($pk)) {
+ throw new SodiumException('Public key is on a small order');
+ }
+ $A = self::ge_frombytes_negate_vartime($pk);
+ $p1 = self::ge_mul_l($A);
+ if (!self::fe_isnonzero($p1->X)) {
+ throw new SodiumException('Unexpected zero result');
+ }
+
+ # fe_1(one_minus_y);
+ # fe_sub(one_minus_y, one_minus_y, A.Y);
+ # fe_invert(one_minus_y, one_minus_y);
+ $one_minux_y = self::fe_invert(
+ self::fe_sub(
+ self::fe_1(),
+ $A->Y
+ )
+ );
+
+
+ # fe_1(x);
+ # fe_add(x, x, A.Y);
+ # fe_mul(x, x, one_minus_y);
+ $x = self::fe_mul(
+ self::fe_add(self::fe_1(), $A->Y),
+ $one_minux_y
+ );
+
+ # fe_tobytes(curve25519_pk, x);
+ return self::fe_tobytes($x);
+ }
+
+ /**
+ * @internal You should not use this directly from another application
+ *
+ * @param string $sk
+ * @return string
+ * @throws SodiumException
+ * @throws TypeError
+ */
+ public static function sk_to_pk($sk)
+ {
+ return self::ge_p3_tobytes(
+ self::ge_scalarmult_base(
+ self::substr($sk, 0, 32)
+ )
+ );
+ }
+
+ /**
+ * @internal You should not use this directly from another application
+ *
+ * @param string $message
+ * @param string $sk
+ * @return string
+ * @throws SodiumException
+ * @throws TypeError
+ */
+ public static function sign($message, $sk)
+ {
+ /** @var string $signature */
+ $signature = self::sign_detached($message, $sk);
+ return $signature . $message;
+ }
+
+ /**
+ * @internal You should not use this directly from another application
+ *
+ * @param string $message A signed message
+ * @param string $pk Public key
+ * @return string Message (without signature)
+ * @throws SodiumException
+ * @throws TypeError
+ */
+ public static function sign_open($message, $pk)
+ {
+ /** @var string $signature */
+ $signature = self::substr($message, 0, 64);
+
+ /** @var string $message */
+ $message = self::substr($message, 64);
+
+ if (self::verify_detached($signature, $message, $pk)) {
+ return $message;
+ }
+ throw new SodiumException('Invalid signature');
+ }
+
+ /**
+ * @internal You should not use this directly from another application
+ *
+ * @param string $message
+ * @param string $sk
+ * @return string
+ * @throws SodiumException
+ * @throws TypeError
+ * @psalm-suppress PossiblyInvalidArgument
+ */
+ public static function sign_detached($message, $sk)
+ {
+ # crypto_hash_sha512(az, sk, 32);
+ $az = hash('sha512', self::substr($sk, 0, 32), true);
+
+ # az[0] &= 248;
+ # az[31] &= 63;
+ # az[31] |= 64;
+ $az[0] = self::intToChr(self::chrToInt($az[0]) & 248);
+ $az[31] = self::intToChr((self::chrToInt($az[31]) & 63) | 64);
+
+ # crypto_hash_sha512_init(&hs);
+ # crypto_hash_sha512_update(&hs, az + 32, 32);
+ # crypto_hash_sha512_update(&hs, m, mlen);
+ # crypto_hash_sha512_final(&hs, nonce);
+ $hs = hash_init('sha512');
+ self::hash_update($hs, self::substr($az, 32, 32));
+ self::hash_update($hs, $message);
+ $nonceHash = hash_final($hs, true);
+
+ # memmove(sig + 32, sk + 32, 32);
+ $pk = self::substr($sk, 32, 32);
+
+ # sc_reduce(nonce);
+ # ge_scalarmult_base(&R, nonce);
+ # ge_p3_tobytes(sig, &R);
+ $nonce = self::sc_reduce($nonceHash) . self::substr($nonceHash, 32);
+ $sig = self::ge_p3_tobytes(
+ self::ge_scalarmult_base($nonce)
+ );
+
+ # crypto_hash_sha512_init(&hs);
+ # crypto_hash_sha512_update(&hs, sig, 64);
+ # crypto_hash_sha512_update(&hs, m, mlen);
+ # crypto_hash_sha512_final(&hs, hram);
+ $hs = hash_init('sha512');
+ self::hash_update($hs, self::substr($sig, 0, 32));
+ self::hash_update($hs, self::substr($pk, 0, 32));
+ self::hash_update($hs, $message);
+ $hramHash = hash_final($hs, true);
+
+ # sc_reduce(hram);
+ # sc_muladd(sig + 32, hram, az, nonce);
+ $hram = self::sc_reduce($hramHash);
+ $sigAfter = self::sc_muladd($hram, $az, $nonce);
+ $sig = self::substr($sig, 0, 32) . self::substr($sigAfter, 0, 32);
+
+ try {
+ ParagonIE_Sodium_Compat::memzero($az);
+ } catch (SodiumException $ex) {
+ $az = null;
+ }
+ return $sig;
+ }
+
+ /**
+ * @internal You should not use this directly from another application
+ *
+ * @param string $sig
+ * @param string $message
+ * @param string $pk
+ * @return bool
+ * @throws SodiumException
+ * @throws TypeError
+ */
+ public static function verify_detached($sig, $message, $pk)
+ {
+ if (self::strlen($sig) < 64) {
+ throw new SodiumException('Signature is too short');
+ }
+ if ((self::chrToInt($sig[63]) & 240) && self::check_S_lt_L(self::substr($sig, 32, 32))) {
+ throw new SodiumException('S < L - Invalid signature');
+ }
+ if (self::small_order($sig)) {
+ throw new SodiumException('Signature is on too small of an order');
+ }
+ if ((self::chrToInt($sig[63]) & 224) !== 0) {
+ throw new SodiumException('Invalid signature');
+ }
+ $d = 0;
+ for ($i = 0; $i < 32; ++$i) {
+ $d |= self::chrToInt($pk[$i]);
+ }
+ if ($d === 0) {
+ throw new SodiumException('All zero public key');
+ }
+
+ /** @var bool The original value of ParagonIE_Sodium_Compat::$fastMult */
+ $orig = ParagonIE_Sodium_Compat::$fastMult;
+
+ // Set ParagonIE_Sodium_Compat::$fastMult to true to speed up verification.
+ ParagonIE_Sodium_Compat::$fastMult = true;
+
+ /** @var ParagonIE_Sodium_Core32_Curve25519_Ge_P3 $A */
+ $A = self::ge_frombytes_negate_vartime($pk);
+
+ /** @var string $hDigest */
+ $hDigest = hash(
+ 'sha512',
+ self::substr($sig, 0, 32) .
+ self::substr($pk, 0, 32) .
+ $message,
+ true
+ );
+
+ /** @var string $h */
+ $h = self::sc_reduce($hDigest) . self::substr($hDigest, 32);
+
+ /** @var ParagonIE_Sodium_Core32_Curve25519_Ge_P2 $R */
+ $R = self::ge_double_scalarmult_vartime(
+ $h,
+ $A,
+ self::substr($sig, 32)
+ );
+
+ /** @var string $rcheck */
+ $rcheck = self::ge_tobytes($R);
+
+ // Reset ParagonIE_Sodium_Compat::$fastMult to what it was before.
+ ParagonIE_Sodium_Compat::$fastMult = $orig;
+
+ return self::verify_32($rcheck, self::substr($sig, 0, 32));
+ }
+
+ /**
+ * @internal You should not use this directly from another application
+ *
+ * @param string $S
+ * @return bool
+ * @throws SodiumException
+ * @throws TypeError
+ */
+ public static function check_S_lt_L($S)
+ {
+ if (self::strlen($S) < 32) {
+ throw new SodiumException('Signature must be 32 bytes');
+ }
+ static $L = array(
+ 0xed, 0xd3, 0xf5, 0x5c, 0x1a, 0x63, 0x12, 0x58,
+ 0xd6, 0x9c, 0xf7, 0xa2, 0xde, 0xf9, 0xde, 0x14,
+ 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
+ 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x10
+ );
+ /** @var array<int, int> $L */
+ $c = 0;
+ $n = 1;
+ $i = 32;
+
+ do {
+ --$i;
+ $x = self::chrToInt($S[$i]);
+ $c |= (
+ (($x - $L[$i]) >> 8) & $n
+ );
+ $n &= (
+ (($x ^ $L[$i]) - 1) >> 8
+ );
+ } while ($i !== 0);
+
+ return $c === 0;
+ }
+
+ /**
+ * @param string $R
+ * @return bool
+ * @throws SodiumException
+ * @throws TypeError
+ */
+ public static function small_order($R)
+ {
+ static $blocklist = array(
+ /* 0 (order 4) */
+ array(
+ 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
+ 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
+ 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
+ 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00
+ ),
+ /* 1 (order 1) */
+ array(
+ 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
+ 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
+ 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
+ 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00
+ ),
+ /* 2707385501144840649318225287225658788936804267575313519463743609750303402022 (order 8) */
+ array(
+ 0x26, 0xe8, 0x95, 0x8f, 0xc2, 0xb2, 0x27, 0xb0,
+ 0x45, 0xc3, 0xf4, 0x89, 0xf2, 0xef, 0x98, 0xf0,
+ 0xd5, 0xdf, 0xac, 0x05, 0xd3, 0xc6, 0x33, 0x39,
+ 0xb1, 0x38, 0x02, 0x88, 0x6d, 0x53, 0xfc, 0x05
+ ),
+ /* 55188659117513257062467267217118295137698188065244968500265048394206261417927 (order 8) */
+ array(
+ 0xc7, 0x17, 0x6a, 0x70, 0x3d, 0x4d, 0xd8, 0x4f,
+ 0xba, 0x3c, 0x0b, 0x76, 0x0d, 0x10, 0x67, 0x0f,
+ 0x2a, 0x20, 0x53, 0xfa, 0x2c, 0x39, 0xcc, 0xc6,
+ 0x4e, 0xc7, 0xfd, 0x77, 0x92, 0xac, 0x03, 0x7a
+ ),
+ /* p-1 (order 2) */
+ array(
+ 0x13, 0xe8, 0x95, 0x8f, 0xc2, 0xb2, 0x27, 0xb0,
+ 0x45, 0xc3, 0xf4, 0x89, 0xf2, 0xef, 0x98, 0xf0,
+ 0xd5, 0xdf, 0xac, 0x05, 0xd3, 0xc6, 0x33, 0x39,
+ 0xb1, 0x38, 0x02, 0x88, 0x6d, 0x53, 0xfc, 0x85
+ ),
+ /* p (order 4) */
+ array(
+ 0xb4, 0x17, 0x6a, 0x70, 0x3d, 0x4d, 0xd8, 0x4f,
+ 0xba, 0x3c, 0x0b, 0x76, 0x0d, 0x10, 0x67, 0x0f,
+ 0x2a, 0x20, 0x53, 0xfa, 0x2c, 0x39, 0xcc, 0xc6,
+ 0x4e, 0xc7, 0xfd, 0x77, 0x92, 0xac, 0x03, 0xfa
+ ),
+ /* p+1 (order 1) */
+ array(
+ 0xec, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
+ 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
+ 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
+ 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x7f
+ ),
+ /* p+2707385501144840649318225287225658788936804267575313519463743609750303402022 (order 8) */
+ array(
+ 0xed, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
+ 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
+ 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
+ 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x7f
+ ),
+ /* p+55188659117513257062467267217118295137698188065244968500265048394206261417927 (order 8) */
+ array(
+ 0xee, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
+ 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
+ 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
+ 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x7f
+ ),
+ /* 2p-1 (order 2) */
+ array(
+ 0xd9, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
+ 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
+ 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
+ 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff
+ ),
+ /* 2p (order 4) */
+ array(
+ 0xda, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
+ 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
+ 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
+ 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff
+ ),
+ /* 2p+1 (order 1) */
+ array(
+ 0xdb, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
+ 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
+ 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
+ 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff
+ )
+ );
+ /** @var array<int, array<int, int>> $blocklist */
+ $countBlocklist = count($blocklist);
+
+ for ($i = 0; $i < $countBlocklist; ++$i) {
+ $c = 0;
+ for ($j = 0; $j < 32; ++$j) {
+ $c |= self::chrToInt($R[$j]) ^ $blocklist[$i][$j];
+ }
+ if ($c === 0) {
+ return true;
+ }
+ }
+ return false;
+ }
+}
diff --git a/vendor/paragonie/sodium_compat/src/Core32/HChaCha20.php b/vendor/paragonie/sodium_compat/src/Core32/HChaCha20.php new file mode 100644 index 0000000..551d995 --- /dev/null +++ b/vendor/paragonie/sodium_compat/src/Core32/HChaCha20.php @@ -0,0 +1,127 @@ +<?php + +if (class_exists('ParagonIE_Sodium_Core32_HChaCha20', false)) { + return; +} + +/** + * Class ParagonIE_Sodium_Core_HChaCha20 + */ +class ParagonIE_Sodium_Core32_HChaCha20 extends ParagonIE_Sodium_Core32_ChaCha20 +{ + /** + * @param string $in + * @param string $key + * @param string|null $c + * @return string + * @throws SodiumException + * @throws TypeError + */ + public static function hChaCha20($in = '', $key = '', $c = null) + { + $ctx = array(); + + if ($c === null) { + $ctx[0] = new ParagonIE_Sodium_Core32_Int32(array(0x6170, 0x7865)); + $ctx[1] = new ParagonIE_Sodium_Core32_Int32(array(0x3320, 0x646e)); + $ctx[2] = new ParagonIE_Sodium_Core32_Int32(array(0x7962, 0x2d32)); + $ctx[3] = new ParagonIE_Sodium_Core32_Int32(array(0x6b20, 0x6574)); + } else { + $ctx[0] = ParagonIE_Sodium_Core32_Int32::fromReverseString(self::substr($c, 0, 4)); + $ctx[1] = ParagonIE_Sodium_Core32_Int32::fromReverseString(self::substr($c, 4, 4)); + $ctx[2] = ParagonIE_Sodium_Core32_Int32::fromReverseString(self::substr($c, 8, 4)); + $ctx[3] = ParagonIE_Sodium_Core32_Int32::fromReverseString(self::substr($c, 12, 4)); + } + $ctx[4] = ParagonIE_Sodium_Core32_Int32::fromReverseString(self::substr($key, 0, 4)); + $ctx[5] = ParagonIE_Sodium_Core32_Int32::fromReverseString(self::substr($key, 4, 4)); + $ctx[6] = ParagonIE_Sodium_Core32_Int32::fromReverseString(self::substr($key, 8, 4)); + $ctx[7] = ParagonIE_Sodium_Core32_Int32::fromReverseString(self::substr($key, 12, 4)); + $ctx[8] = ParagonIE_Sodium_Core32_Int32::fromReverseString(self::substr($key, 16, 4)); + $ctx[9] = ParagonIE_Sodium_Core32_Int32::fromReverseString(self::substr($key, 20, 4)); + $ctx[10] = ParagonIE_Sodium_Core32_Int32::fromReverseString(self::substr($key, 24, 4)); + $ctx[11] = ParagonIE_Sodium_Core32_Int32::fromReverseString(self::substr($key, 28, 4)); + $ctx[12] = ParagonIE_Sodium_Core32_Int32::fromReverseString(self::substr($in, 0, 4)); + $ctx[13] = ParagonIE_Sodium_Core32_Int32::fromReverseString(self::substr($in, 4, 4)); + $ctx[14] = ParagonIE_Sodium_Core32_Int32::fromReverseString(self::substr($in, 8, 4)); + $ctx[15] = ParagonIE_Sodium_Core32_Int32::fromReverseString(self::substr($in, 12, 4)); + + return self::hChaCha20Bytes($ctx); + } + + /** + * @param array $ctx + * @return string + * @throws SodiumException + * @throws TypeError + */ + protected static function hChaCha20Bytes(array $ctx) + { + /** @var ParagonIE_Sodium_Core32_Int32 $x0 */ + $x0 = $ctx[0]; + /** @var ParagonIE_Sodium_Core32_Int32 $x1 */ + $x1 = $ctx[1]; + /** @var ParagonIE_Sodium_Core32_Int32 $x2 */ + $x2 = $ctx[2]; + /** @var ParagonIE_Sodium_Core32_Int32 $x3 */ + $x3 = $ctx[3]; + /** @var ParagonIE_Sodium_Core32_Int32 $x4 */ + $x4 = $ctx[4]; + /** @var ParagonIE_Sodium_Core32_Int32 $x5 */ + $x5 = $ctx[5]; + /** @var ParagonIE_Sodium_Core32_Int32 $x6 */ + $x6 = $ctx[6]; + /** @var ParagonIE_Sodium_Core32_Int32 $x7 */ + $x7 = $ctx[7]; + /** @var ParagonIE_Sodium_Core32_Int32 $x8 */ + $x8 = $ctx[8]; + /** @var ParagonIE_Sodium_Core32_Int32 $x9 */ + $x9 = $ctx[9]; + /** @var ParagonIE_Sodium_Core32_Int32 $x10 */ + $x10 = $ctx[10]; + /** @var ParagonIE_Sodium_Core32_Int32 $x11 */ + $x11 = $ctx[11]; + /** @var ParagonIE_Sodium_Core32_Int32 $x12 */ + $x12 = $ctx[12]; + /** @var ParagonIE_Sodium_Core32_Int32 $x13 */ + $x13 = $ctx[13]; + /** @var ParagonIE_Sodium_Core32_Int32 $x14 */ + $x14 = $ctx[14]; + /** @var ParagonIE_Sodium_Core32_Int32 $x15 */ + $x15 = $ctx[15]; + + for ($i = 0; $i < 10; ++$i) { + # QUARTERROUND( x0, x4, x8, x12) + list($x0, $x4, $x8, $x12) = self::quarterRound($x0, $x4, $x8, $x12); + + # QUARTERROUND( x1, x5, x9, x13) + list($x1, $x5, $x9, $x13) = self::quarterRound($x1, $x5, $x9, $x13); + + # QUARTERROUND( x2, x6, x10, x14) + list($x2, $x6, $x10, $x14) = self::quarterRound($x2, $x6, $x10, $x14); + + # QUARTERROUND( x3, x7, x11, x15) + list($x3, $x7, $x11, $x15) = self::quarterRound($x3, $x7, $x11, $x15); + + # QUARTERROUND( x0, x5, x10, x15) + list($x0, $x5, $x10, $x15) = self::quarterRound($x0, $x5, $x10, $x15); + + # QUARTERROUND( x1, x6, x11, x12) + list($x1, $x6, $x11, $x12) = self::quarterRound($x1, $x6, $x11, $x12); + + # QUARTERROUND( x2, x7, x8, x13) + list($x2, $x7, $x8, $x13) = self::quarterRound($x2, $x7, $x8, $x13); + + # QUARTERROUND( x3, x4, x9, x14) + list($x3, $x4, $x9, $x14) = self::quarterRound($x3, $x4, $x9, $x14); + } + + return $x0->toReverseString() . + $x1->toReverseString() . + $x2->toReverseString() . + $x3->toReverseString() . + $x12->toReverseString() . + $x13->toReverseString() . + $x14->toReverseString() . + $x15->toReverseString(); + } +} diff --git a/vendor/paragonie/sodium_compat/src/Core32/HSalsa20.php b/vendor/paragonie/sodium_compat/src/Core32/HSalsa20.php new file mode 100644 index 0000000..39287f2 --- /dev/null +++ b/vendor/paragonie/sodium_compat/src/Core32/HSalsa20.php @@ -0,0 +1,141 @@ +<?php + +if (class_exists('ParagonIE_Sodium_Core32_HSalsa20', false)) { + return; +} + +/** + * Class ParagonIE_Sodium_Core32_HSalsa20 + */ +abstract class ParagonIE_Sodium_Core32_HSalsa20 extends ParagonIE_Sodium_Core32_Salsa20 +{ + /** + * Calculate an hsalsa20 hash of a single block + * + * HSalsa20 doesn't have a counter and will never be used for more than + * one block (used to derive a subkey for xsalsa20). + * + * @internal You should not use this directly from another application + * + * @param string $in + * @param string $k + * @param string|null $c + * @return string + * @throws SodiumException + * @throws TypeError + */ + public static function hsalsa20($in, $k, $c = null) + { + /** + * @var ParagonIE_Sodium_Core32_Int32 $x0 + * @var ParagonIE_Sodium_Core32_Int32 $x1 + * @var ParagonIE_Sodium_Core32_Int32 $x2 + * @var ParagonIE_Sodium_Core32_Int32 $x3 + * @var ParagonIE_Sodium_Core32_Int32 $x4 + * @var ParagonIE_Sodium_Core32_Int32 $x5 + * @var ParagonIE_Sodium_Core32_Int32 $x6 + * @var ParagonIE_Sodium_Core32_Int32 $x7 + * @var ParagonIE_Sodium_Core32_Int32 $x8 + * @var ParagonIE_Sodium_Core32_Int32 $x9 + * @var ParagonIE_Sodium_Core32_Int32 $x10 + * @var ParagonIE_Sodium_Core32_Int32 $x11 + * @var ParagonIE_Sodium_Core32_Int32 $x12 + * @var ParagonIE_Sodium_Core32_Int32 $x13 + * @var ParagonIE_Sodium_Core32_Int32 $x14 + * @var ParagonIE_Sodium_Core32_Int32 $x15 + * @var ParagonIE_Sodium_Core32_Int32 $j0 + * @var ParagonIE_Sodium_Core32_Int32 $j1 + * @var ParagonIE_Sodium_Core32_Int32 $j2 + * @var ParagonIE_Sodium_Core32_Int32 $j3 + * @var ParagonIE_Sodium_Core32_Int32 $j4 + * @var ParagonIE_Sodium_Core32_Int32 $j5 + * @var ParagonIE_Sodium_Core32_Int32 $j6 + * @var ParagonIE_Sodium_Core32_Int32 $j7 + * @var ParagonIE_Sodium_Core32_Int32 $j8 + * @var ParagonIE_Sodium_Core32_Int32 $j9 + * @var ParagonIE_Sodium_Core32_Int32 $j10 + * @var ParagonIE_Sodium_Core32_Int32 $j11 + * @var ParagonIE_Sodium_Core32_Int32 $j12 + * @var ParagonIE_Sodium_Core32_Int32 $j13 + * @var ParagonIE_Sodium_Core32_Int32 $j14 + * @var ParagonIE_Sodium_Core32_Int32 $j15 + */ + if (self::strlen($k) < 32) { + throw new RangeException('Key must be 32 bytes long'); + } + if ($c === null) { + $x0 = new ParagonIE_Sodium_Core32_Int32(array(0x6170, 0x7865)); + $x5 = new ParagonIE_Sodium_Core32_Int32(array(0x3320, 0x646e)); + $x10 = new ParagonIE_Sodium_Core32_Int32(array(0x7962, 0x2d32)); + $x15 = new ParagonIE_Sodium_Core32_Int32(array(0x6b20, 0x6574)); + } else { + $x0 = ParagonIE_Sodium_Core32_Int32::fromReverseString(self::substr($c, 0, 4)); + $x5 = ParagonIE_Sodium_Core32_Int32::fromReverseString(self::substr($c, 4, 4)); + $x10 = ParagonIE_Sodium_Core32_Int32::fromReverseString(self::substr($c, 8, 4)); + $x15 = ParagonIE_Sodium_Core32_Int32::fromReverseString(self::substr($c, 12, 4)); + } + $x1 = ParagonIE_Sodium_Core32_Int32::fromReverseString(self::substr($k, 0, 4)); + $x2 = ParagonIE_Sodium_Core32_Int32::fromReverseString(self::substr($k, 4, 4)); + $x3 = ParagonIE_Sodium_Core32_Int32::fromReverseString(self::substr($k, 8, 4)); + $x4 = ParagonIE_Sodium_Core32_Int32::fromReverseString(self::substr($k, 12, 4)); + $x6 = ParagonIE_Sodium_Core32_Int32::fromReverseString(self::substr($in, 0, 4)); + $x7 = ParagonIE_Sodium_Core32_Int32::fromReverseString(self::substr($in, 4, 4)); + $x8 = ParagonIE_Sodium_Core32_Int32::fromReverseString(self::substr($in, 8, 4)); + $x9 = ParagonIE_Sodium_Core32_Int32::fromReverseString(self::substr($in, 12, 4)); + $x11 = ParagonIE_Sodium_Core32_Int32::fromReverseString(self::substr($k, 16, 4)); + $x12 = ParagonIE_Sodium_Core32_Int32::fromReverseString(self::substr($k, 20, 4)); + $x13 = ParagonIE_Sodium_Core32_Int32::fromReverseString(self::substr($k, 24, 4)); + $x14 = ParagonIE_Sodium_Core32_Int32::fromReverseString(self::substr($k, 28, 4)); + + for ($i = self::ROUNDS; $i > 0; $i -= 2) { + $x4 = $x4->xorInt32($x0->addInt32($x12)->rotateLeft(7)); + $x8 = $x8->xorInt32($x4->addInt32($x0)->rotateLeft(9)); + $x12 = $x12->xorInt32($x8->addInt32($x4)->rotateLeft(13)); + $x0 = $x0->xorInt32($x12->addInt32($x8)->rotateLeft(18)); + + $x9 = $x9->xorInt32($x5->addInt32($x1)->rotateLeft(7)); + $x13 = $x13->xorInt32($x9->addInt32($x5)->rotateLeft(9)); + $x1 = $x1->xorInt32($x13->addInt32($x9)->rotateLeft(13)); + $x5 = $x5->xorInt32($x1->addInt32($x13)->rotateLeft(18)); + + $x14 = $x14->xorInt32($x10->addInt32($x6)->rotateLeft(7)); + $x2 = $x2->xorInt32($x14->addInt32($x10)->rotateLeft(9)); + $x6 = $x6->xorInt32($x2->addInt32($x14)->rotateLeft(13)); + $x10 = $x10->xorInt32($x6->addInt32($x2)->rotateLeft(18)); + + $x3 = $x3->xorInt32($x15->addInt32($x11)->rotateLeft(7)); + $x7 = $x7->xorInt32($x3->addInt32($x15)->rotateLeft(9)); + $x11 = $x11->xorInt32($x7->addInt32($x3)->rotateLeft(13)); + $x15 = $x15->xorInt32($x11->addInt32($x7)->rotateLeft(18)); + + $x1 = $x1->xorInt32($x0->addInt32($x3)->rotateLeft(7)); + $x2 = $x2->xorInt32($x1->addInt32($x0)->rotateLeft(9)); + $x3 = $x3->xorInt32($x2->addInt32($x1)->rotateLeft(13)); + $x0 = $x0->xorInt32($x3->addInt32($x2)->rotateLeft(18)); + + $x6 = $x6->xorInt32($x5->addInt32($x4)->rotateLeft(7)); + $x7 = $x7->xorInt32($x6->addInt32($x5)->rotateLeft(9)); + $x4 = $x4->xorInt32($x7->addInt32($x6)->rotateLeft(13)); + $x5 = $x5->xorInt32($x4->addInt32($x7)->rotateLeft(18)); + + $x11 = $x11->xorInt32($x10->addInt32($x9)->rotateLeft(7)); + $x8 = $x8->xorInt32($x11->addInt32($x10)->rotateLeft(9)); + $x9 = $x9->xorInt32($x8->addInt32($x11)->rotateLeft(13)); + $x10 = $x10->xorInt32($x9->addInt32($x8)->rotateLeft(18)); + + $x12 = $x12->xorInt32($x15->addInt32($x14)->rotateLeft(7)); + $x13 = $x13->xorInt32($x12->addInt32($x15)->rotateLeft(9)); + $x14 = $x14->xorInt32($x13->addInt32($x12)->rotateLeft(13)); + $x15 = $x15->xorInt32($x14->addInt32($x13)->rotateLeft(18)); + } + + return $x0->toReverseString() . + $x5->toReverseString() . + $x10->toReverseString() . + $x15->toReverseString() . + $x6->toReverseString() . + $x7->toReverseString() . + $x8->toReverseString() . + $x9->toReverseString(); + } +} diff --git a/vendor/paragonie/sodium_compat/src/Core32/Int32.php b/vendor/paragonie/sodium_compat/src/Core32/Int32.php new file mode 100644 index 0000000..c3a1790 --- /dev/null +++ b/vendor/paragonie/sodium_compat/src/Core32/Int32.php @@ -0,0 +1,871 @@ +<?php + +/** + * Class ParagonIE_Sodium_Core32_Int32 + * + * Encapsulates a 32-bit integer. + * + * These are immutable. It always returns a new instance. + */ +class ParagonIE_Sodium_Core32_Int32 +{ + /** + * @var array<int, int> - two 16-bit integers + * + * 0 is the higher 16 bits + * 1 is the lower 16 bits + */ + public $limbs = array(0, 0); + + /** + * @var int + */ + public $overflow = 0; + + /** + * @var bool + */ + public $unsignedInt = false; + + /** + * ParagonIE_Sodium_Core32_Int32 constructor. + * @param array $array + * @param bool $unsignedInt + */ + public function __construct($array = array(0, 0), $unsignedInt = false) + { + $this->limbs = array( + (int) $array[0], + (int) $array[1] + ); + $this->overflow = 0; + $this->unsignedInt = $unsignedInt; + } + + /** + * Adds two int32 objects + * + * @param ParagonIE_Sodium_Core32_Int32 $addend + * @return ParagonIE_Sodium_Core32_Int32 + */ + public function addInt32(ParagonIE_Sodium_Core32_Int32 $addend) + { + $i0 = $this->limbs[0]; + $i1 = $this->limbs[1]; + $j0 = $addend->limbs[0]; + $j1 = $addend->limbs[1]; + + $r1 = $i1 + ($j1 & 0xffff); + $carry = $r1 >> 16; + + $r0 = $i0 + ($j0 & 0xffff) + $carry; + $carry = $r0 >> 16; + + $r0 &= 0xffff; + $r1 &= 0xffff; + + $return = new ParagonIE_Sodium_Core32_Int32( + array($r0, $r1) + ); + $return->overflow = $carry; + $return->unsignedInt = $this->unsignedInt; + return $return; + } + + /** + * Adds a normal integer to an int32 object + * + * @param int $int + * @return ParagonIE_Sodium_Core32_Int32 + * @throws SodiumException + * @throws TypeError + */ + public function addInt($int) + { + ParagonIE_Sodium_Core32_Util::declareScalarType($int, 'int', 1); + /** @var int $int */ + $int = (int) $int; + + $int = (int) $int; + + $i0 = $this->limbs[0]; + $i1 = $this->limbs[1]; + + $r1 = $i1 + ($int & 0xffff); + $carry = $r1 >> 16; + + $r0 = $i0 + (($int >> 16) & 0xffff) + $carry; + $carry = $r0 >> 16; + $r0 &= 0xffff; + $r1 &= 0xffff; + $return = new ParagonIE_Sodium_Core32_Int32( + array($r0, $r1) + ); + $return->overflow = $carry; + $return->unsignedInt = $this->unsignedInt; + return $return; + } + + /** + * @param int $b + * @return int + */ + public function compareInt($b = 0) + { + $gt = 0; + $eq = 1; + + $i = 2; + $j = 0; + while ($i > 0) { + --$i; + /** @var int $x1 */ + $x1 = $this->limbs[$i]; + /** @var int $x2 */ + $x2 = ($b >> ($j << 4)) & 0xffff; + /** @var int $gt */ + $gt |= (($x2 - $x1) >> 8) & $eq; + /** @var int $eq */ + $eq &= (($x2 ^ $x1) - 1) >> 8; + } + return ($gt + $gt - $eq) + 1; + } + + /** + * @param int $m + * @return ParagonIE_Sodium_Core32_Int32 + */ + public function mask($m = 0) + { + /** @var int $hi */ + $hi = ($m >> 16) & 0xffff; + /** @var int $lo */ + $lo = ($m & 0xffff); + return new ParagonIE_Sodium_Core32_Int32( + array( + (int) ($this->limbs[0] & $hi), + (int) ($this->limbs[1] & $lo) + ), + $this->unsignedInt + ); + } + + /** + * @param array<int, int> $a + * @param array<int, int> $b + * @param int $baseLog2 + * @return array<int, int> + */ + public function multiplyLong(array $a, array $b, $baseLog2 = 16) + { + $a_l = count($a); + $b_l = count($b); + /** @var array<int, int> $r */ + $r = array_fill(0, $a_l + $b_l + 1, 0); + $base = 1 << $baseLog2; + for ($i = 0; $i < $a_l; ++$i) { + $a_i = $a[$i]; + for ($j = 0; $j < $a_l; ++$j) { + $b_j = $b[$j]; + $product = ($a_i * $b_j) + $r[$i + $j]; + $carry = ($product >> $baseLog2 & 0xffff); + $r[$i + $j] = ($product - (int) ($carry * $base)) & 0xffff; + $r[$i + $j + 1] += $carry; + } + } + return array_slice($r, 0, 5); + } + + /** + * @param int $int + * @return ParagonIE_Sodium_Core32_Int32 + */ + public function mulIntFast($int) + { + // Handle negative numbers + $aNeg = ($this->limbs[0] >> 15) & 1; + $bNeg = ($int >> 31) & 1; + $a = array_reverse($this->limbs); + $b = array( + $int & 0xffff, + ($int >> 16) & 0xffff + ); + if ($aNeg) { + for ($i = 0; $i < 2; ++$i) { + $a[$i] = ($a[$i] ^ 0xffff) & 0xffff; + } + ++$a[0]; + } + if ($bNeg) { + for ($i = 0; $i < 2; ++$i) { + $b[$i] = ($b[$i] ^ 0xffff) & 0xffff; + } + ++$b[0]; + } + // Multiply + $res = $this->multiplyLong($a, $b); + + // Re-apply negation to results + if ($aNeg !== $bNeg) { + for ($i = 0; $i < 2; ++$i) { + $res[$i] = (0xffff ^ $res[$i]) & 0xffff; + } + // Handle integer overflow + $c = 1; + for ($i = 0; $i < 2; ++$i) { + $res[$i] += $c; + $c = $res[$i] >> 16; + $res[$i] &= 0xffff; + } + } + + // Return our values + $return = new ParagonIE_Sodium_Core32_Int32(); + $return->limbs = array( + $res[1] & 0xffff, + $res[0] & 0xffff + ); + if (count($res) > 2) { + $return->overflow = $res[2] & 0xffff; + } + $return->unsignedInt = $this->unsignedInt; + return $return; + } + + /** + * @param ParagonIE_Sodium_Core32_Int32 $right + * @return ParagonIE_Sodium_Core32_Int32 + */ + public function mulInt32Fast(ParagonIE_Sodium_Core32_Int32 $right) + { + $aNeg = ($this->limbs[0] >> 15) & 1; + $bNeg = ($right->limbs[0] >> 15) & 1; + + $a = array_reverse($this->limbs); + $b = array_reverse($right->limbs); + if ($aNeg) { + for ($i = 0; $i < 2; ++$i) { + $a[$i] = ($a[$i] ^ 0xffff) & 0xffff; + } + ++$a[0]; + } + if ($bNeg) { + for ($i = 0; $i < 2; ++$i) { + $b[$i] = ($b[$i] ^ 0xffff) & 0xffff; + } + ++$b[0]; + } + $res = $this->multiplyLong($a, $b); + if ($aNeg !== $bNeg) { + if ($aNeg !== $bNeg) { + for ($i = 0; $i < 2; ++$i) { + $res[$i] = ($res[$i] ^ 0xffff) & 0xffff; + } + $c = 1; + for ($i = 0; $i < 2; ++$i) { + $res[$i] += $c; + $c = $res[$i] >> 16; + $res[$i] &= 0xffff; + } + } + } + $return = new ParagonIE_Sodium_Core32_Int32(); + $return->limbs = array( + $res[1] & 0xffff, + $res[0] & 0xffff + ); + if (count($res) > 2) { + $return->overflow = $res[2]; + } + return $return; + } + + /** + * @param int $int + * @param int $size + * @return ParagonIE_Sodium_Core32_Int32 + * @throws SodiumException + * @throws TypeError + */ + public function mulInt($int = 0, $size = 0) + { + ParagonIE_Sodium_Core32_Util::declareScalarType($int, 'int', 1); + ParagonIE_Sodium_Core32_Util::declareScalarType($size, 'int', 2); + if (ParagonIE_Sodium_Compat::$fastMult) { + return $this->mulIntFast((int) $int); + } + /** @var int $int */ + $int = (int) $int; + /** @var int $size */ + $size = (int) $size; + + if (!$size) { + $size = 31; + } + /** @var int $size */ + + $a = clone $this; + $return = new ParagonIE_Sodium_Core32_Int32(); + $return->unsignedInt = $this->unsignedInt; + + // Initialize: + $ret0 = 0; + $ret1 = 0; + $a0 = $a->limbs[0]; + $a1 = $a->limbs[1]; + + /** @var int $size */ + /** @var int $i */ + for ($i = $size; $i >= 0; --$i) { + $m = (int) (-($int & 1)); + $x0 = $a0 & $m; + $x1 = $a1 & $m; + + $ret1 += $x1; + $c = $ret1 >> 16; + + $ret0 += $x0 + $c; + + $ret0 &= 0xffff; + $ret1 &= 0xffff; + + $a1 = ($a1 << 1); + $x1 = $a1 >> 16; + $a0 = ($a0 << 1) | $x1; + $a0 &= 0xffff; + $a1 &= 0xffff; + $int >>= 1; + } + $return->limbs[0] = $ret0; + $return->limbs[1] = $ret1; + return $return; + } + + /** + * @param ParagonIE_Sodium_Core32_Int32 $int + * @param int $size + * @return ParagonIE_Sodium_Core32_Int32 + * @throws SodiumException + * @throws TypeError + */ + public function mulInt32(ParagonIE_Sodium_Core32_Int32 $int, $size = 0) + { + ParagonIE_Sodium_Core32_Util::declareScalarType($size, 'int', 2); + if (ParagonIE_Sodium_Compat::$fastMult) { + return $this->mulInt32Fast($int); + } + if (!$size) { + $size = 31; + } + /** @var int $size */ + + $a = clone $this; + $b = clone $int; + $return = new ParagonIE_Sodium_Core32_Int32(); + $return->unsignedInt = $this->unsignedInt; + + // Initialize: + $ret0 = 0; + $ret1 = 0; + $a0 = $a->limbs[0]; + $a1 = $a->limbs[1]; + $b0 = $b->limbs[0]; + $b1 = $b->limbs[1]; + + /** @var int $size */ + /** @var int $i */ + for ($i = $size; $i >= 0; --$i) { + $m = (int) (-($b1 & 1)); + $x0 = $a0 & $m; + $x1 = $a1 & $m; + + $ret1 += $x1; + $c = $ret1 >> 16; + + $ret0 += $x0 + $c; + + $ret0 &= 0xffff; + $ret1 &= 0xffff; + + $a1 = ($a1 << 1); + $x1 = $a1 >> 16; + $a0 = ($a0 << 1) | $x1; + $a0 &= 0xffff; + $a1 &= 0xffff; + + $x0 = ($b0 & 1) << 16; + $b0 = ($b0 >> 1); + $b1 = (($b1 | $x0) >> 1); + + $b0 &= 0xffff; + $b1 &= 0xffff; + + } + $return->limbs[0] = $ret0; + $return->limbs[1] = $ret1; + + return $return; + } + + /** + * OR this 32-bit integer with another. + * + * @param ParagonIE_Sodium_Core32_Int32 $b + * @return ParagonIE_Sodium_Core32_Int32 + */ + public function orInt32(ParagonIE_Sodium_Core32_Int32 $b) + { + $return = new ParagonIE_Sodium_Core32_Int32(); + $return->unsignedInt = $this->unsignedInt; + $return->limbs = array( + (int) ($this->limbs[0] | $b->limbs[0]), + (int) ($this->limbs[1] | $b->limbs[1]) + ); + /** @var int overflow */ + $return->overflow = $this->overflow | $b->overflow; + return $return; + } + + /** + * @param int $b + * @return bool + */ + public function isGreaterThan($b = 0) + { + return $this->compareInt($b) > 0; + } + + /** + * @param int $b + * @return bool + */ + public function isLessThanInt($b = 0) + { + return $this->compareInt($b) < 0; + } + + /** + * @param int $c + * @return ParagonIE_Sodium_Core32_Int32 + * @throws SodiumException + * @throws TypeError + * @psalm-suppress MixedArrayAccess + */ + public function rotateLeft($c = 0) + { + ParagonIE_Sodium_Core32_Util::declareScalarType($c, 'int', 1); + /** @var int $c */ + $c = (int) $c; + + $return = new ParagonIE_Sodium_Core32_Int32(); + $return->unsignedInt = $this->unsignedInt; + $c &= 31; + if ($c === 0) { + // NOP, but we want a copy. + $return->limbs = $this->limbs; + } else { + /** @var int $c */ + + /** @var int $idx_shift */ + $idx_shift = ($c >> 4) & 1; + + /** @var int $sub_shift */ + $sub_shift = $c & 15; + + /** @var array<int, int> $limbs */ + $limbs =& $return->limbs; + + /** @var array<int, int> $myLimbs */ + $myLimbs =& $this->limbs; + + for ($i = 1; $i >= 0; --$i) { + /** @var int $j */ + $j = ($i + $idx_shift) & 1; + /** @var int $k */ + $k = ($i + $idx_shift + 1) & 1; + $limbs[$i] = (int) ( + ( + ((int) ($myLimbs[$j]) << $sub_shift) + | + ((int) ($myLimbs[$k]) >> (16 - $sub_shift)) + ) & 0xffff + ); + } + } + return $return; + } + + /** + * Rotate to the right + * + * @param int $c + * @return ParagonIE_Sodium_Core32_Int32 + * @throws SodiumException + * @throws TypeError + * @psalm-suppress MixedArrayAccess + */ + public function rotateRight($c = 0) + { + ParagonIE_Sodium_Core32_Util::declareScalarType($c, 'int', 1); + /** @var int $c */ + $c = (int) $c; + + $return = new ParagonIE_Sodium_Core32_Int32(); + $return->unsignedInt = $this->unsignedInt; + $c &= 31; + /** @var int $c */ + if ($c === 0) { + // NOP, but we want a copy. + $return->limbs = $this->limbs; + } else { + /** @var int $c */ + + /** @var int $idx_shift */ + $idx_shift = ($c >> 4) & 1; + + /** @var int $sub_shift */ + $sub_shift = $c & 15; + + /** @var array<int, int> $limbs */ + $limbs =& $return->limbs; + + /** @var array<int, int> $myLimbs */ + $myLimbs =& $this->limbs; + + for ($i = 1; $i >= 0; --$i) { + /** @var int $j */ + $j = ($i - $idx_shift) & 1; + /** @var int $k */ + $k = ($i - $idx_shift - 1) & 1; + $limbs[$i] = (int) ( + ( + ((int) ($myLimbs[$j]) >> (int) ($sub_shift)) + | + ((int) ($myLimbs[$k]) << (16 - (int) ($sub_shift))) + ) & 0xffff + ); + } + } + return $return; + } + + /** + * @param bool $bool + * @return self + */ + public function setUnsignedInt($bool = false) + { + $this->unsignedInt = !empty($bool); + return $this; + } + + /** + * @param int $c + * @return ParagonIE_Sodium_Core32_Int32 + * @throws SodiumException + * @throws TypeError + */ + public function shiftLeft($c = 0) + { + ParagonIE_Sodium_Core32_Util::declareScalarType($c, 'int', 1); + /** @var int $c */ + $c = (int) $c; + + $return = new ParagonIE_Sodium_Core32_Int32(); + $return->unsignedInt = $this->unsignedInt; + $c &= 63; + /** @var int $c */ + if ($c === 0) { + $return->limbs = $this->limbs; + } elseif ($c < 0) { + /** @var int $c */ + return $this->shiftRight(-$c); + } else { + /** @var int $c */ + /** @var int $tmp */ + $tmp = $this->limbs[1] << $c; + $return->limbs[1] = (int)($tmp & 0xffff); + /** @var int $carry */ + $carry = $tmp >> 16; + + /** @var int $tmp */ + $tmp = ($this->limbs[0] << $c) | ($carry & 0xffff); + $return->limbs[0] = (int) ($tmp & 0xffff); + } + return $return; + } + + /** + * @param int $c + * @return ParagonIE_Sodium_Core32_Int32 + * @throws SodiumException + * @throws TypeError + * @psalm-suppress MixedAssignment + * @psalm-suppress MixedOperand + */ + public function shiftRight($c = 0) + { + ParagonIE_Sodium_Core32_Util::declareScalarType($c, 'int', 1); + /** @var int $c */ + $c = (int) $c; + + $return = new ParagonIE_Sodium_Core32_Int32(); + $return->unsignedInt = $this->unsignedInt; + $c &= 63; + /** @var int $c */ + if ($c >= 16) { + $return->limbs = array( + (int) ($this->overflow & 0xffff), + (int) ($this->limbs[0]) + ); + $return->overflow = $this->overflow >> 16; + return $return->shiftRight($c & 15); + } + if ($c === 0) { + $return->limbs = $this->limbs; + } elseif ($c < 0) { + /** @var int $c */ + return $this->shiftLeft(-$c); + } else { + if (!is_int($c)) { + throw new TypeError(); + } + /** @var int $c */ + // $return->limbs[0] = (int) (($this->limbs[0] >> $c) & 0xffff); + $carryLeft = (int) ($this->overflow & ((1 << ($c + 1)) - 1)); + $return->limbs[0] = (int) ((($this->limbs[0] >> $c) | ($carryLeft << (16 - $c))) & 0xffff); + $carryRight = (int) ($this->limbs[0] & ((1 << ($c + 1)) - 1)); + $return->limbs[1] = (int) ((($this->limbs[1] >> $c) | ($carryRight << (16 - $c))) & 0xffff); + $return->overflow >>= $c; + } + return $return; + } + + /** + * Subtract a normal integer from an int32 object. + * + * @param int $int + * @return ParagonIE_Sodium_Core32_Int32 + * @throws SodiumException + * @throws TypeError + */ + public function subInt($int) + { + ParagonIE_Sodium_Core32_Util::declareScalarType($int, 'int', 1); + /** @var int $int */ + $int = (int) $int; + + $return = new ParagonIE_Sodium_Core32_Int32(); + $return->unsignedInt = $this->unsignedInt; + + /** @var int $tmp */ + $tmp = $this->limbs[1] - ($int & 0xffff); + /** @var int $carry */ + $carry = $tmp >> 16; + $return->limbs[1] = (int) ($tmp & 0xffff); + + /** @var int $tmp */ + $tmp = $this->limbs[0] - (($int >> 16) & 0xffff) + $carry; + $return->limbs[0] = (int) ($tmp & 0xffff); + return $return; + } + + /** + * Subtract two int32 objects from each other + * + * @param ParagonIE_Sodium_Core32_Int32 $b + * @return ParagonIE_Sodium_Core32_Int32 + */ + public function subInt32(ParagonIE_Sodium_Core32_Int32 $b) + { + $return = new ParagonIE_Sodium_Core32_Int32(); + $return->unsignedInt = $this->unsignedInt; + + /** @var int $tmp */ + $tmp = $this->limbs[1] - ($b->limbs[1] & 0xffff); + /** @var int $carry */ + $carry = $tmp >> 16; + $return->limbs[1] = (int) ($tmp & 0xffff); + + /** @var int $tmp */ + $tmp = $this->limbs[0] - ($b->limbs[0] & 0xffff) + $carry; + $return->limbs[0] = (int) ($tmp & 0xffff); + return $return; + } + + /** + * XOR this 32-bit integer with another. + * + * @param ParagonIE_Sodium_Core32_Int32 $b + * @return ParagonIE_Sodium_Core32_Int32 + */ + public function xorInt32(ParagonIE_Sodium_Core32_Int32 $b) + { + $return = new ParagonIE_Sodium_Core32_Int32(); + $return->unsignedInt = $this->unsignedInt; + $return->limbs = array( + (int) ($this->limbs[0] ^ $b->limbs[0]), + (int) ($this->limbs[1] ^ $b->limbs[1]) + ); + return $return; + } + + /** + * @param int $signed + * @return self + * @throws SodiumException + * @throws TypeError + */ + public static function fromInt($signed) + { + ParagonIE_Sodium_Core32_Util::declareScalarType($signed, 'int', 1);; + /** @var int $signed */ + $signed = (int) $signed; + + return new ParagonIE_Sodium_Core32_Int32( + array( + (int) (($signed >> 16) & 0xffff), + (int) ($signed & 0xffff) + ) + ); + } + + /** + * @param string $string + * @return self + * @throws SodiumException + * @throws TypeError + */ + public static function fromString($string) + { + ParagonIE_Sodium_Core32_Util::declareScalarType($string, 'string', 1); + $string = (string) $string; + if (ParagonIE_Sodium_Core32_Util::strlen($string) !== 4) { + throw new RangeException( + 'String must be 4 bytes; ' . ParagonIE_Sodium_Core32_Util::strlen($string) . ' given.' + ); + } + $return = new ParagonIE_Sodium_Core32_Int32(); + + $return->limbs[0] = (int) ((ParagonIE_Sodium_Core32_Util::chrToInt($string[0]) & 0xff) << 8); + $return->limbs[0] |= (ParagonIE_Sodium_Core32_Util::chrToInt($string[1]) & 0xff); + $return->limbs[1] = (int) ((ParagonIE_Sodium_Core32_Util::chrToInt($string[2]) & 0xff) << 8); + $return->limbs[1] |= (ParagonIE_Sodium_Core32_Util::chrToInt($string[3]) & 0xff); + return $return; + } + + /** + * @param string $string + * @return self + * @throws SodiumException + * @throws TypeError + */ + public static function fromReverseString($string) + { + ParagonIE_Sodium_Core32_Util::declareScalarType($string, 'string', 1); + $string = (string) $string; + if (ParagonIE_Sodium_Core32_Util::strlen($string) !== 4) { + throw new RangeException( + 'String must be 4 bytes; ' . ParagonIE_Sodium_Core32_Util::strlen($string) . ' given.' + ); + } + $return = new ParagonIE_Sodium_Core32_Int32(); + + $return->limbs[0] = (int) ((ParagonIE_Sodium_Core32_Util::chrToInt($string[3]) & 0xff) << 8); + $return->limbs[0] |= (ParagonIE_Sodium_Core32_Util::chrToInt($string[2]) & 0xff); + $return->limbs[1] = (int) ((ParagonIE_Sodium_Core32_Util::chrToInt($string[1]) & 0xff) << 8); + $return->limbs[1] |= (ParagonIE_Sodium_Core32_Util::chrToInt($string[0]) & 0xff); + return $return; + } + + /** + * @return array<int, int> + */ + public function toArray() + { + return array((int) ($this->limbs[0] << 16 | $this->limbs[1])); + } + + /** + * @return string + * @throws TypeError + */ + public function toString() + { + return + ParagonIE_Sodium_Core32_Util::intToChr(($this->limbs[0] >> 8) & 0xff) . + ParagonIE_Sodium_Core32_Util::intToChr($this->limbs[0] & 0xff) . + ParagonIE_Sodium_Core32_Util::intToChr(($this->limbs[1] >> 8) & 0xff) . + ParagonIE_Sodium_Core32_Util::intToChr($this->limbs[1] & 0xff); + } + + /** + * @return int + */ + public function toInt() + { + return (int) ( + (($this->limbs[0] & 0xffff) << 16) + | + ($this->limbs[1] & 0xffff) + ); + } + + /** + * @return ParagonIE_Sodium_Core32_Int32 + */ + public function toInt32() + { + $return = new ParagonIE_Sodium_Core32_Int32(); + $return->limbs[0] = (int) ($this->limbs[0] & 0xffff); + $return->limbs[1] = (int) ($this->limbs[1] & 0xffff); + $return->unsignedInt = $this->unsignedInt; + $return->overflow = (int) ($this->overflow & 0x7fffffff); + return $return; + } + + /** + * @return ParagonIE_Sodium_Core32_Int64 + */ + public function toInt64() + { + $return = new ParagonIE_Sodium_Core32_Int64(); + $return->unsignedInt = $this->unsignedInt; + if ($this->unsignedInt) { + $return->limbs[0] += (($this->overflow >> 16) & 0xffff); + $return->limbs[1] += (($this->overflow) & 0xffff); + } else { + $neg = -(($this->limbs[0] >> 15) & 1); + $return->limbs[0] = (int)($neg & 0xffff); + $return->limbs[1] = (int)($neg & 0xffff); + } + $return->limbs[2] = (int) ($this->limbs[0] & 0xffff); + $return->limbs[3] = (int) ($this->limbs[1] & 0xffff); + return $return; + } + + /** + * @return string + * @throws TypeError + */ + public function toReverseString() + { + return ParagonIE_Sodium_Core32_Util::intToChr($this->limbs[1] & 0xff) . + ParagonIE_Sodium_Core32_Util::intToChr(($this->limbs[1] >> 8) & 0xff) . + ParagonIE_Sodium_Core32_Util::intToChr($this->limbs[0] & 0xff) . + ParagonIE_Sodium_Core32_Util::intToChr(($this->limbs[0] >> 8) & 0xff); + } + + /** + * @return string + */ + public function __toString() + { + try { + return $this->toString(); + } catch (TypeError $ex) { + // PHP engine can't handle exceptions from __toString() + return ''; + } + } +} diff --git a/vendor/paragonie/sodium_compat/src/Core32/Int64.php b/vendor/paragonie/sodium_compat/src/Core32/Int64.php new file mode 100644 index 0000000..dd06a3f --- /dev/null +++ b/vendor/paragonie/sodium_compat/src/Core32/Int64.php @@ -0,0 +1,1066 @@ +<?php + +/** + * Class ParagonIE_Sodium_Core32_Int64 + * + * Encapsulates a 64-bit integer. + * + * These are immutable. It always returns a new instance. + */ +class ParagonIE_Sodium_Core32_Int64 +{ + /** + * @var array<int, int> - four 16-bit integers + */ + public $limbs = array(0, 0, 0, 0); + + /** + * @var int + */ + public $overflow = 0; + + /** + * @var bool + */ + public $unsignedInt = false; + + /** + * ParagonIE_Sodium_Core32_Int64 constructor. + * @param array $array + * @param bool $unsignedInt + */ + public function __construct($array = array(0, 0, 0, 0), $unsignedInt = false) + { + $this->limbs = array( + (int) $array[0], + (int) $array[1], + (int) $array[2], + (int) $array[3] + ); + $this->overflow = 0; + $this->unsignedInt = $unsignedInt; + } + + /** + * Adds two int64 objects + * + * @param ParagonIE_Sodium_Core32_Int64 $addend + * @return ParagonIE_Sodium_Core32_Int64 + */ + public function addInt64(ParagonIE_Sodium_Core32_Int64 $addend) + { + $i0 = $this->limbs[0]; + $i1 = $this->limbs[1]; + $i2 = $this->limbs[2]; + $i3 = $this->limbs[3]; + $j0 = $addend->limbs[0]; + $j1 = $addend->limbs[1]; + $j2 = $addend->limbs[2]; + $j3 = $addend->limbs[3]; + + $r3 = $i3 + ($j3 & 0xffff); + $carry = $r3 >> 16; + + $r2 = $i2 + ($j2 & 0xffff) + $carry; + $carry = $r2 >> 16; + + $r1 = $i1 + ($j1 & 0xffff) + $carry; + $carry = $r1 >> 16; + + $r0 = $i0 + ($j0 & 0xffff) + $carry; + $carry = $r0 >> 16; + + $r0 &= 0xffff; + $r1 &= 0xffff; + $r2 &= 0xffff; + $r3 &= 0xffff; + + $return = new ParagonIE_Sodium_Core32_Int64( + array($r0, $r1, $r2, $r3) + ); + $return->overflow = $carry; + $return->unsignedInt = $this->unsignedInt; + return $return; + } + + /** + * Adds a normal integer to an int64 object + * + * @param int $int + * @return ParagonIE_Sodium_Core32_Int64 + * @throws SodiumException + * @throws TypeError + */ + public function addInt($int) + { + ParagonIE_Sodium_Core32_Util::declareScalarType($int, 'int', 1); + /** @var int $int */ + $int = (int) $int; + + $i0 = $this->limbs[0]; + $i1 = $this->limbs[1]; + $i2 = $this->limbs[2]; + $i3 = $this->limbs[3]; + + $r3 = $i3 + ($int & 0xffff); + $carry = $r3 >> 16; + + $r2 = $i2 + (($int >> 16) & 0xffff) + $carry; + $carry = $r2 >> 16; + + $r1 = $i1 + $carry; + $carry = $r1 >> 16; + + $r0 = $i0 + $carry; + $carry = $r0 >> 16; + + $r0 &= 0xffff; + $r1 &= 0xffff; + $r2 &= 0xffff; + $r3 &= 0xffff; + $return = new ParagonIE_Sodium_Core32_Int64( + array($r0, $r1, $r2, $r3) + ); + $return->overflow = $carry; + $return->unsignedInt = $this->unsignedInt; + return $return; + } + + /** + * @param int $b + * @return int + */ + public function compareInt($b = 0) + { + $gt = 0; + $eq = 1; + + $i = 4; + $j = 0; + while ($i > 0) { + --$i; + /** @var int $x1 */ + $x1 = $this->limbs[$i]; + /** @var int $x2 */ + $x2 = ($b >> ($j << 4)) & 0xffff; + /** int */ + $gt |= (($x2 - $x1) >> 8) & $eq; + /** int */ + $eq &= (($x2 ^ $x1) - 1) >> 8; + } + return ($gt + $gt - $eq) + 1; + } + + /** + * @param int $b + * @return bool + */ + public function isGreaterThan($b = 0) + { + return $this->compareInt($b) > 0; + } + + /** + * @param int $b + * @return bool + */ + public function isLessThanInt($b = 0) + { + return $this->compareInt($b) < 0; + } + + /** + * @param int $hi + * @param int $lo + * @return ParagonIE_Sodium_Core32_Int64 + */ + public function mask64($hi = 0, $lo = 0) + { + /** @var int $a */ + $a = ($hi >> 16) & 0xffff; + /** @var int $b */ + $b = ($hi) & 0xffff; + /** @var int $c */ + $c = ($lo >> 16) & 0xffff; + /** @var int $d */ + $d = ($lo & 0xffff); + return new ParagonIE_Sodium_Core32_Int64( + array( + $this->limbs[0] & $a, + $this->limbs[1] & $b, + $this->limbs[2] & $c, + $this->limbs[3] & $d + ), + $this->unsignedInt + ); + } + + /** + * @param int $int + * @param int $size + * @return ParagonIE_Sodium_Core32_Int64 + * @throws SodiumException + * @throws TypeError + * @psalm-suppress MixedAssignment + */ + public function mulInt($int = 0, $size = 0) + { + if (ParagonIE_Sodium_Compat::$fastMult) { + return $this->mulIntFast($int); + } + ParagonIE_Sodium_Core32_Util::declareScalarType($int, 'int', 1); + ParagonIE_Sodium_Core32_Util::declareScalarType($size, 'int', 2); + /** @var int $int */ + $int = (int) $int; + /** @var int $size */ + $size = (int) $size; + + if (!$size) { + $size = 63; + } + + $a = clone $this; + $return = new ParagonIE_Sodium_Core32_Int64(); + $return->unsignedInt = $this->unsignedInt; + + // Initialize: + $ret0 = 0; + $ret1 = 0; + $ret2 = 0; + $ret3 = 0; + $a0 = $a->limbs[0]; + $a1 = $a->limbs[1]; + $a2 = $a->limbs[2]; + $a3 = $a->limbs[3]; + + /** @var int $size */ + /** @var int $i */ + for ($i = $size; $i >= 0; --$i) { + $mask = -($int & 1); + $x0 = $a0 & $mask; + $x1 = $a1 & $mask; + $x2 = $a2 & $mask; + $x3 = $a3 & $mask; + + $ret3 += $x3; + $c = $ret3 >> 16; + + $ret2 += $x2 + $c; + $c = $ret2 >> 16; + + $ret1 += $x1 + $c; + $c = $ret1 >> 16; + + $ret0 += $x0 + $c; + + $ret0 &= 0xffff; + $ret1 &= 0xffff; + $ret2 &= 0xffff; + $ret3 &= 0xffff; + + $a3 = $a3 << 1; + $x3 = $a3 >> 16; + $a2 = ($a2 << 1) | $x3; + $x2 = $a2 >> 16; + $a1 = ($a1 << 1) | $x2; + $x1 = $a1 >> 16; + $a0 = ($a0 << 1) | $x1; + $a0 &= 0xffff; + $a1 &= 0xffff; + $a2 &= 0xffff; + $a3 &= 0xffff; + + $int >>= 1; + } + $return->limbs[0] = $ret0; + $return->limbs[1] = $ret1; + $return->limbs[2] = $ret2; + $return->limbs[3] = $ret3; + return $return; + } + + /** + * @param ParagonIE_Sodium_Core32_Int64 $A + * @param ParagonIE_Sodium_Core32_Int64 $B + * @return array<int, ParagonIE_Sodium_Core32_Int64> + * @throws SodiumException + * @throws TypeError + * @psalm-suppress MixedInferredReturnType + */ + public static function ctSelect( + ParagonIE_Sodium_Core32_Int64 $A, + ParagonIE_Sodium_Core32_Int64 $B + ) { + $a = clone $A; + $b = clone $B; + /** @var int $aNeg */ + $aNeg = ($a->limbs[0] >> 15) & 1; + /** @var int $bNeg */ + $bNeg = ($b->limbs[0] >> 15) & 1; + /** @var int $m */ + $m = (-($aNeg & $bNeg)) | 1; + /** @var int $swap */ + $swap = $bNeg & ~$aNeg; + /** @var int $d */ + $d = -$swap; + + /* + if ($bNeg && !$aNeg) { + $a = clone $int; + $b = clone $this; + } elseif($bNeg && $aNeg) { + $a = $this->mulInt(-1); + $b = $int->mulInt(-1); + } + */ + $x = $a->xorInt64($b)->mask64($d, $d); + return array( + $a->xorInt64($x)->mulInt($m), + $b->xorInt64($x)->mulInt($m) + ); + } + + /** + * @param array<int, int> $a + * @param array<int, int> $b + * @param int $baseLog2 + * @return array<int, int> + */ + public function multiplyLong(array $a, array $b, $baseLog2 = 16) + { + $a_l = count($a); + $b_l = count($b); + /** @var array<int, int> $r */ + $r = array_fill(0, $a_l + $b_l + 1, 0); + $base = 1 << $baseLog2; + for ($i = 0; $i < $a_l; ++$i) { + $a_i = $a[$i]; + for ($j = 0; $j < $a_l; ++$j) { + $b_j = $b[$j]; + $product = ($a_i * $b_j) + $r[$i + $j]; + $carry = ($product >> $baseLog2 & 0xffff); + $r[$i + $j] = ($product - (int) ($carry * $base)) & 0xffff; + $r[$i + $j + 1] += $carry; + } + } + return array_slice($r, 0, 5); + } + + /** + * @param int $int + * @return ParagonIE_Sodium_Core32_Int64 + */ + public function mulIntFast($int) + { + // Handle negative numbers + $aNeg = ($this->limbs[0] >> 15) & 1; + $bNeg = ($int >> 31) & 1; + $a = array_reverse($this->limbs); + $b = array( + $int & 0xffff, + ($int >> 16) & 0xffff, + -$bNeg & 0xffff, + -$bNeg & 0xffff + ); + if ($aNeg) { + for ($i = 0; $i < 4; ++$i) { + $a[$i] = ($a[$i] ^ 0xffff) & 0xffff; + } + ++$a[0]; + } + if ($bNeg) { + for ($i = 0; $i < 4; ++$i) { + $b[$i] = ($b[$i] ^ 0xffff) & 0xffff; + } + ++$b[0]; + } + // Multiply + $res = $this->multiplyLong($a, $b); + + // Re-apply negation to results + if ($aNeg !== $bNeg) { + for ($i = 0; $i < 4; ++$i) { + $res[$i] = (0xffff ^ $res[$i]) & 0xffff; + } + // Handle integer overflow + $c = 1; + for ($i = 0; $i < 4; ++$i) { + $res[$i] += $c; + $c = $res[$i] >> 16; + $res[$i] &= 0xffff; + } + } + + // Return our values + $return = new ParagonIE_Sodium_Core32_Int64(); + $return->limbs = array( + $res[3] & 0xffff, + $res[2] & 0xffff, + $res[1] & 0xffff, + $res[0] & 0xffff + ); + if (count($res) > 4) { + $return->overflow = $res[4] & 0xffff; + } + $return->unsignedInt = $this->unsignedInt; + return $return; + } + + /** + * @param ParagonIE_Sodium_Core32_Int64 $right + * @return ParagonIE_Sodium_Core32_Int64 + */ + public function mulInt64Fast(ParagonIE_Sodium_Core32_Int64 $right) + { + $aNeg = ($this->limbs[0] >> 15) & 1; + $bNeg = ($right->limbs[0] >> 15) & 1; + + $a = array_reverse($this->limbs); + $b = array_reverse($right->limbs); + if ($aNeg) { + for ($i = 0; $i < 4; ++$i) { + $a[$i] = ($a[$i] ^ 0xffff) & 0xffff; + } + ++$a[0]; + } + if ($bNeg) { + for ($i = 0; $i < 4; ++$i) { + $b[$i] = ($b[$i] ^ 0xffff) & 0xffff; + } + ++$b[0]; + } + $res = $this->multiplyLong($a, $b); + if ($aNeg !== $bNeg) { + if ($aNeg !== $bNeg) { + for ($i = 0; $i < 4; ++$i) { + $res[$i] = ($res[$i] ^ 0xffff) & 0xffff; + } + $c = 1; + for ($i = 0; $i < 4; ++$i) { + $res[$i] += $c; + $c = $res[$i] >> 16; + $res[$i] &= 0xffff; + } + } + } + $return = new ParagonIE_Sodium_Core32_Int64(); + $return->limbs = array( + $res[3] & 0xffff, + $res[2] & 0xffff, + $res[1] & 0xffff, + $res[0] & 0xffff + ); + if (count($res) > 4) { + $return->overflow = $res[4]; + } + return $return; + } + + /** + * @param ParagonIE_Sodium_Core32_Int64 $int + * @param int $size + * @return ParagonIE_Sodium_Core32_Int64 + * @throws SodiumException + * @throws TypeError + * @psalm-suppress MixedAssignment + */ + public function mulInt64(ParagonIE_Sodium_Core32_Int64 $int, $size = 0) + { + if (ParagonIE_Sodium_Compat::$fastMult) { + return $this->mulInt64Fast($int); + } + ParagonIE_Sodium_Core32_Util::declareScalarType($size, 'int', 2); + if (!$size) { + $size = 63; + } + list($a, $b) = self::ctSelect($this, $int); + + $return = new ParagonIE_Sodium_Core32_Int64(); + $return->unsignedInt = $this->unsignedInt; + + // Initialize: + $ret0 = 0; + $ret1 = 0; + $ret2 = 0; + $ret3 = 0; + $a0 = $a->limbs[0]; + $a1 = $a->limbs[1]; + $a2 = $a->limbs[2]; + $a3 = $a->limbs[3]; + $b0 = $b->limbs[0]; + $b1 = $b->limbs[1]; + $b2 = $b->limbs[2]; + $b3 = $b->limbs[3]; + + /** @var int $size */ + /** @var int $i */ + for ($i = (int) $size; $i >= 0; --$i) { + $mask = -($b3 & 1); + $x0 = $a0 & $mask; + $x1 = $a1 & $mask; + $x2 = $a2 & $mask; + $x3 = $a3 & $mask; + + $ret3 += $x3; + $c = $ret3 >> 16; + + $ret2 += $x2 + $c; + $c = $ret2 >> 16; + + $ret1 += $x1 + $c; + $c = $ret1 >> 16; + + $ret0 += $x0 + $c; + + $ret0 &= 0xffff; + $ret1 &= 0xffff; + $ret2 &= 0xffff; + $ret3 &= 0xffff; + + $a3 = $a3 << 1; + $x3 = $a3 >> 16; + $a2 = ($a2 << 1) | $x3; + $x2 = $a2 >> 16; + $a1 = ($a1 << 1) | $x2; + $x1 = $a1 >> 16; + $a0 = ($a0 << 1) | $x1; + $a0 &= 0xffff; + $a1 &= 0xffff; + $a2 &= 0xffff; + $a3 &= 0xffff; + + $x0 = ($b0 & 1) << 16; + $x1 = ($b1 & 1) << 16; + $x2 = ($b2 & 1) << 16; + + $b0 = ($b0 >> 1); + $b1 = (($b1 | $x0) >> 1); + $b2 = (($b2 | $x1) >> 1); + $b3 = (($b3 | $x2) >> 1); + + $b0 &= 0xffff; + $b1 &= 0xffff; + $b2 &= 0xffff; + $b3 &= 0xffff; + + } + $return->limbs[0] = $ret0; + $return->limbs[1] = $ret1; + $return->limbs[2] = $ret2; + $return->limbs[3] = $ret3; + + return $return; + } + + /** + * OR this 64-bit integer with another. + * + * @param ParagonIE_Sodium_Core32_Int64 $b + * @return ParagonIE_Sodium_Core32_Int64 + */ + public function orInt64(ParagonIE_Sodium_Core32_Int64 $b) + { + $return = new ParagonIE_Sodium_Core32_Int64(); + $return->unsignedInt = $this->unsignedInt; + $return->limbs = array( + (int) ($this->limbs[0] | $b->limbs[0]), + (int) ($this->limbs[1] | $b->limbs[1]), + (int) ($this->limbs[2] | $b->limbs[2]), + (int) ($this->limbs[3] | $b->limbs[3]) + ); + return $return; + } + + /** + * @param int $c + * @return ParagonIE_Sodium_Core32_Int64 + * @throws SodiumException + * @throws TypeError + * @psalm-suppress MixedArrayAccess + */ + public function rotateLeft($c = 0) + { + ParagonIE_Sodium_Core32_Util::declareScalarType($c, 'int', 1); + /** @var int $c */ + $c = (int) $c; + + $return = new ParagonIE_Sodium_Core32_Int64(); + $return->unsignedInt = $this->unsignedInt; + $c &= 63; + if ($c === 0) { + // NOP, but we want a copy. + $return->limbs = $this->limbs; + } else { + /** @var array<int, int> $limbs */ + $limbs =& $return->limbs; + + /** @var array<int, int> $myLimbs */ + $myLimbs =& $this->limbs; + + /** @var int $idx_shift */ + $idx_shift = ($c >> 4) & 3; + /** @var int $sub_shift */ + $sub_shift = $c & 15; + + for ($i = 3; $i >= 0; --$i) { + /** @var int $j */ + $j = ($i + $idx_shift) & 3; + /** @var int $k */ + $k = ($i + $idx_shift + 1) & 3; + $limbs[$i] = (int) ( + ( + ((int) ($myLimbs[$j]) << $sub_shift) + | + ((int) ($myLimbs[$k]) >> (16 - $sub_shift)) + ) & 0xffff + ); + } + } + return $return; + } + + /** + * Rotate to the right + * + * @param int $c + * @return ParagonIE_Sodium_Core32_Int64 + * @throws SodiumException + * @throws TypeError + * @psalm-suppress MixedArrayAccess + */ + public function rotateRight($c = 0) + { + ParagonIE_Sodium_Core32_Util::declareScalarType($c, 'int', 1); + /** @var int $c */ + $c = (int) $c; + + /** @var ParagonIE_Sodium_Core32_Int64 $return */ + $return = new ParagonIE_Sodium_Core32_Int64(); + $return->unsignedInt = $this->unsignedInt; + $c &= 63; + /** @var int $c */ + if ($c === 0) { + // NOP, but we want a copy. + $return->limbs = $this->limbs; + } else { + /** @var array<int, int> $limbs */ + $limbs =& $return->limbs; + + /** @var array<int, int> $myLimbs */ + $myLimbs =& $this->limbs; + + /** @var int $idx_shift */ + $idx_shift = ($c >> 4) & 3; + /** @var int $sub_shift */ + $sub_shift = $c & 15; + + for ($i = 3; $i >= 0; --$i) { + /** @var int $j */ + $j = ($i - $idx_shift) & 3; + /** @var int $k */ + $k = ($i - $idx_shift - 1) & 3; + $limbs[$i] = (int) ( + ( + ((int) ($myLimbs[$j]) >> (int) ($sub_shift)) + | + ((int) ($myLimbs[$k]) << (16 - (int) ($sub_shift))) + ) & 0xffff + ); + } + } + return $return; + } + /** + * @param int $c + * @return ParagonIE_Sodium_Core32_Int64 + * @throws SodiumException + * @throws TypeError + */ + public function shiftLeft($c = 0) + { + ParagonIE_Sodium_Core32_Util::declareScalarType($c, 'int', 1); + /** @var int $c */ + $c = (int) $c; + + $return = new ParagonIE_Sodium_Core32_Int64(); + $return->unsignedInt = $this->unsignedInt; + $c &= 63; + + if ($c >= 16) { + if ($c >= 48) { + $return->limbs = array( + $this->limbs[3], 0, 0, 0 + ); + } elseif ($c >= 32) { + $return->limbs = array( + $this->limbs[2], $this->limbs[3], 0, 0 + ); + } else { + $return->limbs = array( + $this->limbs[1], $this->limbs[2], $this->limbs[3], 0 + ); + } + return $return->shiftLeft($c & 15); + } + if ($c === 0) { + $return->limbs = $this->limbs; + } elseif ($c < 0) { + /** @var int $c */ + return $this->shiftRight(-$c); + } else { + if (!is_int($c)) { + throw new TypeError(); + } + /** @var int $carry */ + $carry = 0; + for ($i = 3; $i >= 0; --$i) { + /** @var int $tmp */ + $tmp = ($this->limbs[$i] << $c) | ($carry & 0xffff); + $return->limbs[$i] = (int) ($tmp & 0xffff); + /** @var int $carry */ + $carry = $tmp >> 16; + } + } + return $return; + } + + /** + * @param int $c + * @return ParagonIE_Sodium_Core32_Int64 + * @throws SodiumException + * @throws TypeError + */ + public function shiftRight($c = 0) + { + ParagonIE_Sodium_Core32_Util::declareScalarType($c, 'int', 1); + $c = (int) $c; + /** @var int $c */ + $return = new ParagonIE_Sodium_Core32_Int64(); + $return->unsignedInt = $this->unsignedInt; + $c &= 63; + + $negative = -(($this->limbs[0] >> 15) & 1); + if ($c >= 16) { + if ($c >= 48) { + $return->limbs = array( + (int) ($negative & 0xffff), + (int) ($negative & 0xffff), + (int) ($negative & 0xffff), + (int) $this->limbs[0] + ); + } elseif ($c >= 32) { + $return->limbs = array( + (int) ($negative & 0xffff), + (int) ($negative & 0xffff), + (int) $this->limbs[0], + (int) $this->limbs[1] + ); + } else { + $return->limbs = array( + (int) ($negative & 0xffff), + (int) $this->limbs[0], + (int) $this->limbs[1], + (int) $this->limbs[2] + ); + } + return $return->shiftRight($c & 15); + } + + if ($c === 0) { + $return->limbs = $this->limbs; + } elseif ($c < 0) { + return $this->shiftLeft(-$c); + } else { + if (!is_int($c)) { + throw new TypeError(); + } + /** @var int $carryRight */ + $carryRight = ($negative & 0xffff); + $mask = (int) (((1 << ($c + 1)) - 1) & 0xffff); + for ($i = 0; $i < 4; ++$i) { + $return->limbs[$i] = (int) ( + (($this->limbs[$i] >> $c) | ($carryRight << (16 - $c))) & 0xffff + ); + $carryRight = (int) ($this->limbs[$i] & $mask); + } + } + return $return; + } + + + /** + * Subtract a normal integer from an int64 object. + * + * @param int $int + * @return ParagonIE_Sodium_Core32_Int64 + * @throws SodiumException + * @throws TypeError + */ + public function subInt($int) + { + ParagonIE_Sodium_Core32_Util::declareScalarType($int, 'int', 1); + $int = (int) $int; + + $return = new ParagonIE_Sodium_Core32_Int64(); + $return->unsignedInt = $this->unsignedInt; + + /** @var int $carry */ + $carry = 0; + for ($i = 3; $i >= 0; --$i) { + /** @var int $tmp */ + $tmp = $this->limbs[$i] - (($int >> 16) & 0xffff) + $carry; + /** @var int $carry */ + $carry = $tmp >> 16; + $return->limbs[$i] = (int) ($tmp & 0xffff); + } + return $return; + } + + /** + * The difference between two Int64 objects. + * + * @param ParagonIE_Sodium_Core32_Int64 $b + * @return ParagonIE_Sodium_Core32_Int64 + */ + public function subInt64(ParagonIE_Sodium_Core32_Int64 $b) + { + $return = new ParagonIE_Sodium_Core32_Int64(); + $return->unsignedInt = $this->unsignedInt; + /** @var int $carry */ + $carry = 0; + for ($i = 3; $i >= 0; --$i) { + /** @var int $tmp */ + $tmp = $this->limbs[$i] - $b->limbs[$i] + $carry; + /** @var int $carry */ + $carry = ($tmp >> 16); + $return->limbs[$i] = (int) ($tmp & 0xffff); + } + return $return; + } + + /** + * XOR this 64-bit integer with another. + * + * @param ParagonIE_Sodium_Core32_Int64 $b + * @return ParagonIE_Sodium_Core32_Int64 + */ + public function xorInt64(ParagonIE_Sodium_Core32_Int64 $b) + { + $return = new ParagonIE_Sodium_Core32_Int64(); + $return->unsignedInt = $this->unsignedInt; + $return->limbs = array( + (int) ($this->limbs[0] ^ $b->limbs[0]), + (int) ($this->limbs[1] ^ $b->limbs[1]), + (int) ($this->limbs[2] ^ $b->limbs[2]), + (int) ($this->limbs[3] ^ $b->limbs[3]) + ); + return $return; + } + + /** + * @param int $low + * @param int $high + * @return self + * @throws SodiumException + * @throws TypeError + */ + public static function fromInts($low, $high) + { + ParagonIE_Sodium_Core32_Util::declareScalarType($low, 'int', 1); + ParagonIE_Sodium_Core32_Util::declareScalarType($high, 'int', 2); + + $high = (int) $high; + $low = (int) $low; + return new ParagonIE_Sodium_Core32_Int64( + array( + (int) (($high >> 16) & 0xffff), + (int) ($high & 0xffff), + (int) (($low >> 16) & 0xffff), + (int) ($low & 0xffff) + ) + ); + } + + /** + * @param int $low + * @return self + * @throws SodiumException + * @throws TypeError + */ + public static function fromInt($low) + { + ParagonIE_Sodium_Core32_Util::declareScalarType($low, 'int', 1); + $low = (int) $low; + + return new ParagonIE_Sodium_Core32_Int64( + array( + 0, + 0, + (int) (($low >> 16) & 0xffff), + (int) ($low & 0xffff) + ) + ); + } + + /** + * @return int + */ + public function toInt() + { + return (int) ( + (($this->limbs[2] & 0xffff) << 16) + | + ($this->limbs[3] & 0xffff) + ); + } + + /** + * @param string $string + * @return self + * @throws SodiumException + * @throws TypeError + */ + public static function fromString($string) + { + ParagonIE_Sodium_Core32_Util::declareScalarType($string, 'string', 1); + $string = (string) $string; + if (ParagonIE_Sodium_Core32_Util::strlen($string) !== 8) { + throw new RangeException( + 'String must be 8 bytes; ' . ParagonIE_Sodium_Core32_Util::strlen($string) . ' given.' + ); + } + $return = new ParagonIE_Sodium_Core32_Int64(); + + $return->limbs[0] = (int) ((ParagonIE_Sodium_Core32_Util::chrToInt($string[0]) & 0xff) << 8); + $return->limbs[0] |= (ParagonIE_Sodium_Core32_Util::chrToInt($string[1]) & 0xff); + $return->limbs[1] = (int) ((ParagonIE_Sodium_Core32_Util::chrToInt($string[2]) & 0xff) << 8); + $return->limbs[1] |= (ParagonIE_Sodium_Core32_Util::chrToInt($string[3]) & 0xff); + $return->limbs[2] = (int) ((ParagonIE_Sodium_Core32_Util::chrToInt($string[4]) & 0xff) << 8); + $return->limbs[2] |= (ParagonIE_Sodium_Core32_Util::chrToInt($string[5]) & 0xff); + $return->limbs[3] = (int) ((ParagonIE_Sodium_Core32_Util::chrToInt($string[6]) & 0xff) << 8); + $return->limbs[3] |= (ParagonIE_Sodium_Core32_Util::chrToInt($string[7]) & 0xff); + return $return; + } + + /** + * @param string $string + * @return self + * @throws SodiumException + * @throws TypeError + */ + public static function fromReverseString($string) + { + ParagonIE_Sodium_Core32_Util::declareScalarType($string, 'string', 1); + $string = (string) $string; + if (ParagonIE_Sodium_Core32_Util::strlen($string) !== 8) { + throw new RangeException( + 'String must be 8 bytes; ' . ParagonIE_Sodium_Core32_Util::strlen($string) . ' given.' + ); + } + $return = new ParagonIE_Sodium_Core32_Int64(); + + $return->limbs[0] = (int) ((ParagonIE_Sodium_Core32_Util::chrToInt($string[7]) & 0xff) << 8); + $return->limbs[0] |= (ParagonIE_Sodium_Core32_Util::chrToInt($string[6]) & 0xff); + $return->limbs[1] = (int) ((ParagonIE_Sodium_Core32_Util::chrToInt($string[5]) & 0xff) << 8); + $return->limbs[1] |= (ParagonIE_Sodium_Core32_Util::chrToInt($string[4]) & 0xff); + $return->limbs[2] = (int) ((ParagonIE_Sodium_Core32_Util::chrToInt($string[3]) & 0xff) << 8); + $return->limbs[2] |= (ParagonIE_Sodium_Core32_Util::chrToInt($string[2]) & 0xff); + $return->limbs[3] = (int) ((ParagonIE_Sodium_Core32_Util::chrToInt($string[1]) & 0xff) << 8); + $return->limbs[3] |= (ParagonIE_Sodium_Core32_Util::chrToInt($string[0]) & 0xff); + return $return; + } + + /** + * @return array<int, int> + */ + public function toArray() + { + return array( + (int) ((($this->limbs[0] & 0xffff) << 16) | ($this->limbs[1] & 0xffff)), + (int) ((($this->limbs[2] & 0xffff) << 16) | ($this->limbs[3] & 0xffff)) + ); + } + + /** + * @return ParagonIE_Sodium_Core32_Int32 + */ + public function toInt32() + { + $return = new ParagonIE_Sodium_Core32_Int32(); + $return->limbs[0] = (int) ($this->limbs[2]); + $return->limbs[1] = (int) ($this->limbs[3]); + $return->unsignedInt = $this->unsignedInt; + $return->overflow = (int) (ParagonIE_Sodium_Core32_Util::abs($this->limbs[1], 16) & 0xffff); + return $return; + } + + /** + * @return ParagonIE_Sodium_Core32_Int64 + */ + public function toInt64() + { + $return = new ParagonIE_Sodium_Core32_Int64(); + $return->limbs[0] = (int) ($this->limbs[0]); + $return->limbs[1] = (int) ($this->limbs[1]); + $return->limbs[2] = (int) ($this->limbs[2]); + $return->limbs[3] = (int) ($this->limbs[3]); + $return->unsignedInt = $this->unsignedInt; + $return->overflow = ParagonIE_Sodium_Core32_Util::abs($this->overflow); + return $return; + } + + /** + * @param bool $bool + * @return self + */ + public function setUnsignedInt($bool = false) + { + $this->unsignedInt = !empty($bool); + return $this; + } + + /** + * @return string + * @throws TypeError + */ + public function toString() + { + return ParagonIE_Sodium_Core32_Util::intToChr(($this->limbs[0] >> 8) & 0xff) . + ParagonIE_Sodium_Core32_Util::intToChr($this->limbs[0] & 0xff) . + ParagonIE_Sodium_Core32_Util::intToChr(($this->limbs[1] >> 8) & 0xff) . + ParagonIE_Sodium_Core32_Util::intToChr($this->limbs[1] & 0xff) . + ParagonIE_Sodium_Core32_Util::intToChr(($this->limbs[2] >> 8) & 0xff) . + ParagonIE_Sodium_Core32_Util::intToChr($this->limbs[2] & 0xff) . + ParagonIE_Sodium_Core32_Util::intToChr(($this->limbs[3] >> 8) & 0xff) . + ParagonIE_Sodium_Core32_Util::intToChr($this->limbs[3] & 0xff); + } + + /** + * @return string + * @throws TypeError + */ + public function toReverseString() + { + return ParagonIE_Sodium_Core32_Util::intToChr($this->limbs[3] & 0xff) . + ParagonIE_Sodium_Core32_Util::intToChr(($this->limbs[3] >> 8) & 0xff) . + ParagonIE_Sodium_Core32_Util::intToChr($this->limbs[2] & 0xff) . + ParagonIE_Sodium_Core32_Util::intToChr(($this->limbs[2] >> 8) & 0xff) . + ParagonIE_Sodium_Core32_Util::intToChr($this->limbs[1] & 0xff) . + ParagonIE_Sodium_Core32_Util::intToChr(($this->limbs[1] >> 8) & 0xff) . + ParagonIE_Sodium_Core32_Util::intToChr($this->limbs[0] & 0xff) . + ParagonIE_Sodium_Core32_Util::intToChr(($this->limbs[0] >> 8) & 0xff); + } + + /** + * @return string + */ + public function __toString() + { + try { + return $this->toString(); + } catch (TypeError $ex) { + // PHP engine can't handle exceptions from __toString() + return ''; + } + } +} diff --git a/vendor/paragonie/sodium_compat/src/Core32/Poly1305.php b/vendor/paragonie/sodium_compat/src/Core32/Poly1305.php new file mode 100644 index 0000000..b9dfaf3 --- /dev/null +++ b/vendor/paragonie/sodium_compat/src/Core32/Poly1305.php @@ -0,0 +1,63 @@ +<?php + +if (class_exists('ParagonIE_Sodium_Core32_Poly1305', false)) { + return; +} + +/** + * Class ParagonIE_Sodium_Core32_Poly1305 + */ +abstract class ParagonIE_Sodium_Core32_Poly1305 extends ParagonIE_Sodium_Core32_Util +{ + const BLOCK_SIZE = 16; + + /** + * @internal You should not use this directly from another application + * + * @param string $m + * @param string $key + * @return string + * @throws SodiumException + * @throws TypeError + */ + public static function onetimeauth($m, $key) + { + if (self::strlen($key) < 32) { + throw new InvalidArgumentException( + 'Key must be 32 bytes long.' + ); + } + $state = new ParagonIE_Sodium_Core32_Poly1305_State( + self::substr($key, 0, 32) + ); + return $state + ->update($m) + ->finish(); + } + + /** + * @internal You should not use this directly from another application + * + * @param string $mac + * @param string $m + * @param string $key + * @return bool + * @throws SodiumException + * @throws TypeError + */ + public static function onetimeauth_verify($mac, $m, $key) + { + if (self::strlen($key) < 32) { + throw new InvalidArgumentException( + 'Key must be 32 bytes long.' + ); + } + $state = new ParagonIE_Sodium_Core32_Poly1305_State( + self::substr($key, 0, 32) + ); + $calc = $state + ->update($m) + ->finish(); + return self::verify_16($calc, $mac); + } +} diff --git a/vendor/paragonie/sodium_compat/src/Core32/Poly1305/State.php b/vendor/paragonie/sodium_compat/src/Core32/Poly1305/State.php new file mode 100644 index 0000000..d80e1ff --- /dev/null +++ b/vendor/paragonie/sodium_compat/src/Core32/Poly1305/State.php @@ -0,0 +1,451 @@ +<?php + +if (class_exists('ParagonIE_Sodium_Core32_Poly1305_State', false)) { + return; +} + +/** + * Class ParagonIE_Sodium_Core32_Poly1305_State + */ +class ParagonIE_Sodium_Core32_Poly1305_State extends ParagonIE_Sodium_Core32_Util +{ + /** + * @var array<int, int> + */ + protected $buffer = array(); + + /** + * @var bool + */ + protected $final = false; + + /** + * @var array<int, ParagonIE_Sodium_Core32_Int32> + */ + public $h; + + /** + * @var int + */ + protected $leftover = 0; + + /** + * @var array<int, ParagonIE_Sodium_Core32_Int32> + */ + public $r; + + /** + * @var array<int, ParagonIE_Sodium_Core32_Int64> + */ + public $pad; + + /** + * ParagonIE_Sodium_Core32_Poly1305_State constructor. + * + * @internal You should not use this directly from another application + * + * @param string $key + * @throws InvalidArgumentException + * @throws SodiumException + * @throws TypeError + */ + public function __construct($key = '') + { + if (self::strlen($key) < 32) { + throw new InvalidArgumentException( + 'Poly1305 requires a 32-byte key' + ); + } + /* r &= 0xffffffc0ffffffc0ffffffc0fffffff */ + $this->r = array( + // st->r[0] = ... + ParagonIE_Sodium_Core32_Int32::fromReverseString(self::substr($key, 0, 4)) + ->setUnsignedInt(true) + ->mask(0x3ffffff), + // st->r[1] = ... + ParagonIE_Sodium_Core32_Int32::fromReverseString(self::substr($key, 3, 4)) + ->setUnsignedInt(true) + ->shiftRight(2) + ->mask(0x3ffff03), + // st->r[2] = ... + ParagonIE_Sodium_Core32_Int32::fromReverseString(self::substr($key, 6, 4)) + ->setUnsignedInt(true) + ->shiftRight(4) + ->mask(0x3ffc0ff), + // st->r[3] = ... + ParagonIE_Sodium_Core32_Int32::fromReverseString(self::substr($key, 9, 4)) + ->setUnsignedInt(true) + ->shiftRight(6) + ->mask(0x3f03fff), + // st->r[4] = ... + ParagonIE_Sodium_Core32_Int32::fromReverseString(self::substr($key, 12, 4)) + ->setUnsignedInt(true) + ->shiftRight(8) + ->mask(0x00fffff) + ); + + /* h = 0 */ + $this->h = array( + new ParagonIE_Sodium_Core32_Int32(array(0, 0), true), + new ParagonIE_Sodium_Core32_Int32(array(0, 0), true), + new ParagonIE_Sodium_Core32_Int32(array(0, 0), true), + new ParagonIE_Sodium_Core32_Int32(array(0, 0), true), + new ParagonIE_Sodium_Core32_Int32(array(0, 0), true) + ); + + /* save pad for later */ + $this->pad = array( + ParagonIE_Sodium_Core32_Int32::fromReverseString(self::substr($key, 16, 4)) + ->setUnsignedInt(true)->toInt64(), + ParagonIE_Sodium_Core32_Int32::fromReverseString(self::substr($key, 20, 4)) + ->setUnsignedInt(true)->toInt64(), + ParagonIE_Sodium_Core32_Int32::fromReverseString(self::substr($key, 24, 4)) + ->setUnsignedInt(true)->toInt64(), + ParagonIE_Sodium_Core32_Int32::fromReverseString(self::substr($key, 28, 4)) + ->setUnsignedInt(true)->toInt64(), + ); + + $this->leftover = 0; + $this->final = false; + } + + /** + * @internal You should not use this directly from another application + * + * @param string $message + * @return self + * @throws SodiumException + * @throws TypeError + */ + public function update($message = '') + { + $bytes = self::strlen($message); + + /* handle leftover */ + if ($this->leftover) { + /** @var int $want */ + $want = ParagonIE_Sodium_Core32_Poly1305::BLOCK_SIZE - $this->leftover; + if ($want > $bytes) { + $want = $bytes; + } + for ($i = 0; $i < $want; ++$i) { + $mi = self::chrToInt($message[$i]); + $this->buffer[$this->leftover + $i] = $mi; + } + // We snip off the leftmost bytes. + $message = self::substr($message, $want); + $bytes = self::strlen($message); + $this->leftover += $want; + if ($this->leftover < ParagonIE_Sodium_Core32_Poly1305::BLOCK_SIZE) { + // We still don't have enough to run $this->blocks() + return $this; + } + + $this->blocks( + self::intArrayToString($this->buffer), + ParagonIE_Sodium_Core32_Poly1305::BLOCK_SIZE + ); + $this->leftover = 0; + } + + /* process full blocks */ + if ($bytes >= ParagonIE_Sodium_Core32_Poly1305::BLOCK_SIZE) { + /** @var int $want */ + $want = $bytes & ~(ParagonIE_Sodium_Core32_Poly1305::BLOCK_SIZE - 1); + if ($want >= ParagonIE_Sodium_Core32_Poly1305::BLOCK_SIZE) { + /** @var string $block */ + $block = self::substr($message, 0, $want); + if (self::strlen($block) >= ParagonIE_Sodium_Core32_Poly1305::BLOCK_SIZE) { + $this->blocks($block, $want); + $message = self::substr($message, $want); + $bytes = self::strlen($message); + } + } + } + + /* store leftover */ + if ($bytes) { + for ($i = 0; $i < $bytes; ++$i) { + $mi = self::chrToInt($message[$i]); + $this->buffer[$this->leftover + $i] = $mi; + } + $this->leftover = (int) $this->leftover + $bytes; + } + return $this; + } + + /** + * @internal You should not use this directly from another application + * + * @param string $message + * @param int $bytes + * @return self + * @throws SodiumException + * @throws TypeError + */ + public function blocks($message, $bytes) + { + if (self::strlen($message) < 16) { + $message = str_pad($message, 16, "\x00", STR_PAD_RIGHT); + } + $hibit = ParagonIE_Sodium_Core32_Int32::fromInt((int) ($this->final ? 0 : 1 << 24)); /* 1 << 128 */ + $hibit->setUnsignedInt(true); + $zero = new ParagonIE_Sodium_Core32_Int64(array(0, 0, 0, 0), true); + /** + * @var ParagonIE_Sodium_Core32_Int64 $d0 + * @var ParagonIE_Sodium_Core32_Int64 $d1 + * @var ParagonIE_Sodium_Core32_Int64 $d2 + * @var ParagonIE_Sodium_Core32_Int64 $d3 + * @var ParagonIE_Sodium_Core32_Int64 $d4 + * @var ParagonIE_Sodium_Core32_Int64 $r0 + * @var ParagonIE_Sodium_Core32_Int64 $r1 + * @var ParagonIE_Sodium_Core32_Int64 $r2 + * @var ParagonIE_Sodium_Core32_Int64 $r3 + * @var ParagonIE_Sodium_Core32_Int64 $r4 + * + * @var ParagonIE_Sodium_Core32_Int32 $h0 + * @var ParagonIE_Sodium_Core32_Int32 $h1 + * @var ParagonIE_Sodium_Core32_Int32 $h2 + * @var ParagonIE_Sodium_Core32_Int32 $h3 + * @var ParagonIE_Sodium_Core32_Int32 $h4 + */ + $r0 = $this->r[0]->toInt64(); + $r1 = $this->r[1]->toInt64(); + $r2 = $this->r[2]->toInt64(); + $r3 = $this->r[3]->toInt64(); + $r4 = $this->r[4]->toInt64(); + + $s1 = $r1->toInt64()->mulInt(5, 3); + $s2 = $r2->toInt64()->mulInt(5, 3); + $s3 = $r3->toInt64()->mulInt(5, 3); + $s4 = $r4->toInt64()->mulInt(5, 3); + + $h0 = $this->h[0]; + $h1 = $this->h[1]; + $h2 = $this->h[2]; + $h3 = $this->h[3]; + $h4 = $this->h[4]; + + while ($bytes >= ParagonIE_Sodium_Core32_Poly1305::BLOCK_SIZE) { + /* h += m[i] */ + $h0 = $h0->addInt32( + ParagonIE_Sodium_Core32_Int32::fromReverseString(self::substr($message, 0, 4)) + ->mask(0x3ffffff) + )->toInt64(); + $h1 = $h1->addInt32( + ParagonIE_Sodium_Core32_Int32::fromReverseString(self::substr($message, 3, 4)) + ->shiftRight(2) + ->mask(0x3ffffff) + )->toInt64(); + $h2 = $h2->addInt32( + ParagonIE_Sodium_Core32_Int32::fromReverseString(self::substr($message, 6, 4)) + ->shiftRight(4) + ->mask(0x3ffffff) + )->toInt64(); + $h3 = $h3->addInt32( + ParagonIE_Sodium_Core32_Int32::fromReverseString(self::substr($message, 9, 4)) + ->shiftRight(6) + ->mask(0x3ffffff) + )->toInt64(); + $h4 = $h4->addInt32( + ParagonIE_Sodium_Core32_Int32::fromReverseString(self::substr($message, 12, 4)) + ->shiftRight(8) + ->orInt32($hibit) + )->toInt64(); + + /* h *= r */ + $d0 = $zero + ->addInt64($h0->mulInt64($r0, 25)) + ->addInt64($s4->mulInt64($h1, 26)) + ->addInt64($s3->mulInt64($h2, 26)) + ->addInt64($s2->mulInt64($h3, 26)) + ->addInt64($s1->mulInt64($h4, 26)); + + $d1 = $zero + ->addInt64($h0->mulInt64($r1, 25)) + ->addInt64($h1->mulInt64($r0, 25)) + ->addInt64($s4->mulInt64($h2, 26)) + ->addInt64($s3->mulInt64($h3, 26)) + ->addInt64($s2->mulInt64($h4, 26)); + + $d2 = $zero + ->addInt64($h0->mulInt64($r2, 25)) + ->addInt64($h1->mulInt64($r1, 25)) + ->addInt64($h2->mulInt64($r0, 25)) + ->addInt64($s4->mulInt64($h3, 26)) + ->addInt64($s3->mulInt64($h4, 26)); + + $d3 = $zero + ->addInt64($h0->mulInt64($r3, 25)) + ->addInt64($h1->mulInt64($r2, 25)) + ->addInt64($h2->mulInt64($r1, 25)) + ->addInt64($h3->mulInt64($r0, 25)) + ->addInt64($s4->mulInt64($h4, 26)); + + $d4 = $zero + ->addInt64($h0->mulInt64($r4, 25)) + ->addInt64($h1->mulInt64($r3, 25)) + ->addInt64($h2->mulInt64($r2, 25)) + ->addInt64($h3->mulInt64($r1, 25)) + ->addInt64($h4->mulInt64($r0, 25)); + + /* (partial) h %= p */ + $c = $d0->shiftRight(26); + $h0 = $d0->toInt32()->mask(0x3ffffff); + $d1 = $d1->addInt64($c); + + $c = $d1->shiftRight(26); + $h1 = $d1->toInt32()->mask(0x3ffffff); + $d2 = $d2->addInt64($c); + + $c = $d2->shiftRight(26); + $h2 = $d2->toInt32()->mask(0x3ffffff); + $d3 = $d3->addInt64($c); + + $c = $d3->shiftRight(26); + $h3 = $d3->toInt32()->mask(0x3ffffff); + $d4 = $d4->addInt64($c); + + $c = $d4->shiftRight(26); + $h4 = $d4->toInt32()->mask(0x3ffffff); + $h0 = $h0->addInt32($c->toInt32()->mulInt(5, 3)); + + $c = $h0->shiftRight(26); + $h0 = $h0->mask(0x3ffffff); + $h1 = $h1->addInt32($c); + + // Chop off the left 32 bytes. + $message = self::substr( + $message, + ParagonIE_Sodium_Core32_Poly1305::BLOCK_SIZE + ); + $bytes -= ParagonIE_Sodium_Core32_Poly1305::BLOCK_SIZE; + } + + /** @var array<int, ParagonIE_Sodium_Core32_Int32> $h */ + $this->h = array($h0, $h1, $h2, $h3, $h4); + return $this; + } + + /** + * @internal You should not use this directly from another application + * + * @return string + * @throws SodiumException + * @throws TypeError + */ + public function finish() + { + /* process the remaining block */ + if ($this->leftover) { + $i = $this->leftover; + $this->buffer[$i++] = 1; + for (; $i < ParagonIE_Sodium_Core32_Poly1305::BLOCK_SIZE; ++$i) { + $this->buffer[$i] = 0; + } + $this->final = true; + $this->blocks( + self::substr( + self::intArrayToString($this->buffer), + 0, + ParagonIE_Sodium_Core32_Poly1305::BLOCK_SIZE + ), + $b = ParagonIE_Sodium_Core32_Poly1305::BLOCK_SIZE + ); + } + + /** + * @var ParagonIE_Sodium_Core32_Int32 $f + * @var ParagonIE_Sodium_Core32_Int32 $g0 + * @var ParagonIE_Sodium_Core32_Int32 $g1 + * @var ParagonIE_Sodium_Core32_Int32 $g2 + * @var ParagonIE_Sodium_Core32_Int32 $g3 + * @var ParagonIE_Sodium_Core32_Int32 $g4 + * @var ParagonIE_Sodium_Core32_Int32 $h0 + * @var ParagonIE_Sodium_Core32_Int32 $h1 + * @var ParagonIE_Sodium_Core32_Int32 $h2 + * @var ParagonIE_Sodium_Core32_Int32 $h3 + * @var ParagonIE_Sodium_Core32_Int32 $h4 + */ + $h0 = $this->h[0]; + $h1 = $this->h[1]; + $h2 = $this->h[2]; + $h3 = $this->h[3]; + $h4 = $this->h[4]; + + $c = $h1->shiftRight(26); # $c = $h1 >> 26; + $h1 = $h1->mask(0x3ffffff); # $h1 &= 0x3ffffff; + + $h2 = $h2->addInt32($c); # $h2 += $c; + $c = $h2->shiftRight(26); # $c = $h2 >> 26; + $h2 = $h2->mask(0x3ffffff); # $h2 &= 0x3ffffff; + + $h3 = $h3->addInt32($c); # $h3 += $c; + $c = $h3->shiftRight(26); # $c = $h3 >> 26; + $h3 = $h3->mask(0x3ffffff); # $h3 &= 0x3ffffff; + + $h4 = $h4->addInt32($c); # $h4 += $c; + $c = $h4->shiftRight(26); # $c = $h4 >> 26; + $h4 = $h4->mask(0x3ffffff); # $h4 &= 0x3ffffff; + + $h0 = $h0->addInt32($c->mulInt(5, 3)); # $h0 += self::mul($c, 5); + $c = $h0->shiftRight(26); # $c = $h0 >> 26; + $h0 = $h0->mask(0x3ffffff); # $h0 &= 0x3ffffff; + $h1 = $h1->addInt32($c); # $h1 += $c; + + /* compute h + -p */ + $g0 = $h0->addInt(5); + $c = $g0->shiftRight(26); + $g0 = $g0->mask(0x3ffffff); + $g1 = $h1->addInt32($c); + $c = $g1->shiftRight(26); + $g1 = $g1->mask(0x3ffffff); + $g2 = $h2->addInt32($c); + $c = $g2->shiftRight(26); + $g2 = $g2->mask(0x3ffffff); + $g3 = $h3->addInt32($c); + $c = $g3->shiftRight(26); + $g3 = $g3->mask(0x3ffffff); + $g4 = $h4->addInt32($c)->subInt(1 << 26); + + # $mask = ($g4 >> 31) - 1; + /* select h if h < p, or h + -p if h >= p */ + $mask = (int) (($g4->toInt() >> 31) + 1); + + $g0 = $g0->mask($mask); + $g1 = $g1->mask($mask); + $g2 = $g2->mask($mask); + $g3 = $g3->mask($mask); + $g4 = $g4->mask($mask); + + /** @var int $mask */ + $mask = (~$mask) & 0xffffffff; + + $h0 = $h0->mask($mask)->orInt32($g0); + $h1 = $h1->mask($mask)->orInt32($g1); + $h2 = $h2->mask($mask)->orInt32($g2); + $h3 = $h3->mask($mask)->orInt32($g3); + $h4 = $h4->mask($mask)->orInt32($g4); + + /* h = h % (2^128) */ + $h0 = $h0->orInt32($h1->shiftLeft(26)); + $h1 = $h1->shiftRight(6)->orInt32($h2->shiftLeft(20)); + $h2 = $h2->shiftRight(12)->orInt32($h3->shiftLeft(14)); + $h3 = $h3->shiftRight(18)->orInt32($h4->shiftLeft(8)); + + /* mac = (h + pad) % (2^128) */ + $f = $h0->toInt64()->addInt64($this->pad[0]); + $h0 = $f->toInt32(); + $f = $h1->toInt64()->addInt64($this->pad[1])->addInt($h0->overflow); + $h1 = $f->toInt32(); + $f = $h2->toInt64()->addInt64($this->pad[2])->addInt($h1->overflow); + $h2 = $f->toInt32(); + $f = $h3->toInt64()->addInt64($this->pad[3])->addInt($h2->overflow); + $h3 = $f->toInt32(); + + return $h0->toReverseString() . + $h1->toReverseString() . + $h2->toReverseString() . + $h3->toReverseString(); + } +} diff --git a/vendor/paragonie/sodium_compat/src/Core32/Salsa20.php b/vendor/paragonie/sodium_compat/src/Core32/Salsa20.php new file mode 100644 index 0000000..d8c8073 --- /dev/null +++ b/vendor/paragonie/sodium_compat/src/Core32/Salsa20.php @@ -0,0 +1,306 @@ +<?php + +if (class_exists('ParagonIE_Sodium_Core32_Salsa20', false)) { + return; +} + +/** + * Class ParagonIE_Sodium_Core32_Salsa20 + */ +abstract class ParagonIE_Sodium_Core32_Salsa20 extends ParagonIE_Sodium_Core32_Util +{ + const ROUNDS = 20; + + /** + * Calculate an salsa20 hash of a single block + * + * @internal You should not use this directly from another application + * + * @param string $in + * @param string $k + * @param string|null $c + * @return string + * @throws SodiumException + * @throws TypeError + */ + public static function core_salsa20($in, $k, $c = null) + { + /** + * @var ParagonIE_Sodium_Core32_Int32 $x0 + * @var ParagonIE_Sodium_Core32_Int32 $x1 + * @var ParagonIE_Sodium_Core32_Int32 $x2 + * @var ParagonIE_Sodium_Core32_Int32 $x3 + * @var ParagonIE_Sodium_Core32_Int32 $x4 + * @var ParagonIE_Sodium_Core32_Int32 $x5 + * @var ParagonIE_Sodium_Core32_Int32 $x6 + * @var ParagonIE_Sodium_Core32_Int32 $x7 + * @var ParagonIE_Sodium_Core32_Int32 $x8 + * @var ParagonIE_Sodium_Core32_Int32 $x9 + * @var ParagonIE_Sodium_Core32_Int32 $x10 + * @var ParagonIE_Sodium_Core32_Int32 $x11 + * @var ParagonIE_Sodium_Core32_Int32 $x12 + * @var ParagonIE_Sodium_Core32_Int32 $x13 + * @var ParagonIE_Sodium_Core32_Int32 $x14 + * @var ParagonIE_Sodium_Core32_Int32 $x15 + * @var ParagonIE_Sodium_Core32_Int32 $j0 + * @var ParagonIE_Sodium_Core32_Int32 $j1 + * @var ParagonIE_Sodium_Core32_Int32 $j2 + * @var ParagonIE_Sodium_Core32_Int32 $j3 + * @var ParagonIE_Sodium_Core32_Int32 $j4 + * @var ParagonIE_Sodium_Core32_Int32 $j5 + * @var ParagonIE_Sodium_Core32_Int32 $j6 + * @var ParagonIE_Sodium_Core32_Int32 $j7 + * @var ParagonIE_Sodium_Core32_Int32 $j8 + * @var ParagonIE_Sodium_Core32_Int32 $j9 + * @var ParagonIE_Sodium_Core32_Int32 $j10 + * @var ParagonIE_Sodium_Core32_Int32 $j11 + * @var ParagonIE_Sodium_Core32_Int32 $j12 + * @var ParagonIE_Sodium_Core32_Int32 $j13 + * @var ParagonIE_Sodium_Core32_Int32 $j14 + * @var ParagonIE_Sodium_Core32_Int32 $j15 + */ + if (self::strlen($k) < 32) { + throw new RangeException('Key must be 32 bytes long'); + } + if ($c === null) { + $x0 = new ParagonIE_Sodium_Core32_Int32(array(0x6170, 0x7865)); + $x5 = new ParagonIE_Sodium_Core32_Int32(array(0x3320, 0x646e)); + $x10 = new ParagonIE_Sodium_Core32_Int32(array(0x7962, 0x2d32)); + $x15 = new ParagonIE_Sodium_Core32_Int32(array(0x6b20, 0x6574)); + } else { + $x0 = ParagonIE_Sodium_Core32_Int32::fromReverseString(self::substr($c, 0, 4)); + $x5 = ParagonIE_Sodium_Core32_Int32::fromReverseString(self::substr($c, 4, 4)); + $x10 = ParagonIE_Sodium_Core32_Int32::fromReverseString(self::substr($c, 8, 4)); + $x15 = ParagonIE_Sodium_Core32_Int32::fromReverseString(self::substr($c, 12, 4)); + } + $x1 = ParagonIE_Sodium_Core32_Int32::fromReverseString(self::substr($k, 0, 4)); + $x2 = ParagonIE_Sodium_Core32_Int32::fromReverseString(self::substr($k, 4, 4)); + $x3 = ParagonIE_Sodium_Core32_Int32::fromReverseString(self::substr($k, 8, 4)); + $x4 = ParagonIE_Sodium_Core32_Int32::fromReverseString(self::substr($k, 12, 4)); + $x6 = ParagonIE_Sodium_Core32_Int32::fromReverseString(self::substr($in, 0, 4)); + $x7 = ParagonIE_Sodium_Core32_Int32::fromReverseString(self::substr($in, 4, 4)); + $x8 = ParagonIE_Sodium_Core32_Int32::fromReverseString(self::substr($in, 8, 4)); + $x9 = ParagonIE_Sodium_Core32_Int32::fromReverseString(self::substr($in, 12, 4)); + $x11 = ParagonIE_Sodium_Core32_Int32::fromReverseString(self::substr($k, 16, 4)); + $x12 = ParagonIE_Sodium_Core32_Int32::fromReverseString(self::substr($k, 20, 4)); + $x13 = ParagonIE_Sodium_Core32_Int32::fromReverseString(self::substr($k, 24, 4)); + $x14 = ParagonIE_Sodium_Core32_Int32::fromReverseString(self::substr($k, 28, 4)); + + $j0 = clone $x0; + $j1 = clone $x1; + $j2 = clone $x2; + $j3 = clone $x3; + $j4 = clone $x4; + $j5 = clone $x5; + $j6 = clone $x6; + $j7 = clone $x7; + $j8 = clone $x8; + $j9 = clone $x9; + $j10 = clone $x10; + $j11 = clone $x11; + $j12 = clone $x12; + $j13 = clone $x13; + $j14 = clone $x14; + $j15 = clone $x15; + + for ($i = self::ROUNDS; $i > 0; $i -= 2) { + $x4 = $x4->xorInt32($x0->addInt32($x12)->rotateLeft(7)); + $x8 = $x8->xorInt32($x4->addInt32($x0)->rotateLeft(9)); + $x12 = $x12->xorInt32($x8->addInt32($x4)->rotateLeft(13)); + $x0 = $x0->xorInt32($x12->addInt32($x8)->rotateLeft(18)); + + $x9 = $x9->xorInt32($x5->addInt32($x1)->rotateLeft(7)); + $x13 = $x13->xorInt32($x9->addInt32($x5)->rotateLeft(9)); + $x1 = $x1->xorInt32($x13->addInt32($x9)->rotateLeft(13)); + $x5 = $x5->xorInt32($x1->addInt32($x13)->rotateLeft(18)); + + $x14 = $x14->xorInt32($x10->addInt32($x6)->rotateLeft(7)); + $x2 = $x2->xorInt32($x14->addInt32($x10)->rotateLeft(9)); + $x6 = $x6->xorInt32($x2->addInt32($x14)->rotateLeft(13)); + $x10 = $x10->xorInt32($x6->addInt32($x2)->rotateLeft(18)); + + $x3 = $x3->xorInt32($x15->addInt32($x11)->rotateLeft(7)); + $x7 = $x7->xorInt32($x3->addInt32($x15)->rotateLeft(9)); + $x11 = $x11->xorInt32($x7->addInt32($x3)->rotateLeft(13)); + $x15 = $x15->xorInt32($x11->addInt32($x7)->rotateLeft(18)); + + $x1 = $x1->xorInt32($x0->addInt32($x3)->rotateLeft(7)); + $x2 = $x2->xorInt32($x1->addInt32($x0)->rotateLeft(9)); + $x3 = $x3->xorInt32($x2->addInt32($x1)->rotateLeft(13)); + $x0 = $x0->xorInt32($x3->addInt32($x2)->rotateLeft(18)); + + $x6 = $x6->xorInt32($x5->addInt32($x4)->rotateLeft(7)); + $x7 = $x7->xorInt32($x6->addInt32($x5)->rotateLeft(9)); + $x4 = $x4->xorInt32($x7->addInt32($x6)->rotateLeft(13)); + $x5 = $x5->xorInt32($x4->addInt32($x7)->rotateLeft(18)); + + $x11 = $x11->xorInt32($x10->addInt32($x9)->rotateLeft(7)); + $x8 = $x8->xorInt32($x11->addInt32($x10)->rotateLeft(9)); + $x9 = $x9->xorInt32($x8->addInt32($x11)->rotateLeft(13)); + $x10 = $x10->xorInt32($x9->addInt32($x8)->rotateLeft(18)); + + $x12 = $x12->xorInt32($x15->addInt32($x14)->rotateLeft(7)); + $x13 = $x13->xorInt32($x12->addInt32($x15)->rotateLeft(9)); + $x14 = $x14->xorInt32($x13->addInt32($x12)->rotateLeft(13)); + $x15 = $x15->xorInt32($x14->addInt32($x13)->rotateLeft(18)); + } + + $x0 = $x0->addInt32($j0); + $x1 = $x1->addInt32($j1); + $x2 = $x2->addInt32($j2); + $x3 = $x3->addInt32($j3); + $x4 = $x4->addInt32($j4); + $x5 = $x5->addInt32($j5); + $x6 = $x6->addInt32($j6); + $x7 = $x7->addInt32($j7); + $x8 = $x8->addInt32($j8); + $x9 = $x9->addInt32($j9); + $x10 = $x10->addInt32($j10); + $x11 = $x11->addInt32($j11); + $x12 = $x12->addInt32($j12); + $x13 = $x13->addInt32($j13); + $x14 = $x14->addInt32($j14); + $x15 = $x15->addInt32($j15); + + return $x0->toReverseString() . + $x1->toReverseString() . + $x2->toReverseString() . + $x3->toReverseString() . + $x4->toReverseString() . + $x5->toReverseString() . + $x6->toReverseString() . + $x7->toReverseString() . + $x8->toReverseString() . + $x9->toReverseString() . + $x10->toReverseString() . + $x11->toReverseString() . + $x12->toReverseString() . + $x13->toReverseString() . + $x14->toReverseString() . + $x15->toReverseString(); + } + + /** + * @internal You should not use this directly from another application + * + * @param int $len + * @param string $nonce + * @param string $key + * @return string + * @throws SodiumException + * @throws TypeError + */ + public static function salsa20($len, $nonce, $key) + { + if (self::strlen($key) !== 32) { + throw new RangeException('Key must be 32 bytes long'); + } + $kcopy = '' . $key; + $in = self::substr($nonce, 0, 8) . str_repeat("\0", 8); + $c = ''; + while ($len >= 64) { + $c .= self::core_salsa20($in, $kcopy, null); + $u = 1; + // Internal counter. + for ($i = 8; $i < 16; ++$i) { + $u += self::chrToInt($in[$i]); + $in[$i] = self::intToChr($u & 0xff); + $u >>= 8; + } + $len -= 64; + } + if ($len > 0) { + $c .= self::substr( + self::core_salsa20($in, $kcopy, null), + 0, + $len + ); + } + try { + ParagonIE_Sodium_Compat::memzero($kcopy); + } catch (SodiumException $ex) { + $kcopy = null; + } + return $c; + } + + /** + * @internal You should not use this directly from another application + * + * @param string $m + * @param string $n + * @param int $ic + * @param string $k + * @return string + * @throws SodiumException + * @throws TypeError + */ + public static function salsa20_xor_ic($m, $n, $ic, $k) + { + $mlen = self::strlen($m); + if ($mlen < 1) { + return ''; + } + $kcopy = self::substr($k, 0, 32); + $in = self::substr($n, 0, 8); + // Initialize the counter + $in .= ParagonIE_Sodium_Core32_Util::store64_le($ic); + + $c = ''; + while ($mlen >= 64) { + $block = self::core_salsa20($in, $kcopy, null); + $c .= self::xorStrings( + self::substr($m, 0, 64), + self::substr($block, 0, 64) + ); + $u = 1; + for ($i = 8; $i < 16; ++$i) { + $u += self::chrToInt($in[$i]); + $in[$i] = self::intToChr($u & 0xff); + $u >>= 8; + } + + $mlen -= 64; + $m = self::substr($m, 64); + } + + if ($mlen) { + $block = self::core_salsa20($in, $kcopy, null); + $c .= self::xorStrings( + self::substr($m, 0, $mlen), + self::substr($block, 0, $mlen) + ); + } + try { + ParagonIE_Sodium_Compat::memzero($block); + ParagonIE_Sodium_Compat::memzero($kcopy); + } catch (SodiumException $ex) { + $block = null; + $kcopy = null; + } + + return $c; + } + + /** + * @internal You should not use this directly from another application + * + * @param string $message + * @param string $nonce + * @param string $key + * @return string + * @throws SodiumException + * @throws TypeError + */ + public static function salsa20_xor($message, $nonce, $key) + { + return self::xorStrings( + $message, + self::salsa20( + self::strlen($message), + $nonce, + $key + ) + ); + } +} diff --git a/vendor/paragonie/sodium_compat/src/Core32/SecretStream/State.php b/vendor/paragonie/sodium_compat/src/Core32/SecretStream/State.php new file mode 100644 index 0000000..6f20486 --- /dev/null +++ b/vendor/paragonie/sodium_compat/src/Core32/SecretStream/State.php @@ -0,0 +1,163 @@ +<?php + +/** + * Class ParagonIE_Sodium_Core32_SecretStream_State + */ +class ParagonIE_Sodium_Core32_SecretStream_State +{ + /** @var string $key */ + protected $key; + + /** @var int $counter */ + protected $counter; + + /** @var string $nonce */ + protected $nonce; + + /** @var string $_pad */ + protected $_pad; + + /** + * ParagonIE_Sodium_Core32_SecretStream_State constructor. + * @param string $key + * @param string|null $nonce + */ + public function __construct($key, $nonce = null) + { + $this->key = $key; + $this->counter = 1; + if (is_null($nonce)) { + $nonce = str_repeat("\0", 12); + } + $this->nonce = str_pad($nonce, 12, "\0", STR_PAD_RIGHT);; + $this->_pad = str_repeat("\0", 4); + } + + /** + * @return self + */ + public function counterReset() + { + $this->counter = 1; + $this->_pad = str_repeat("\0", 4); + return $this; + } + + /** + * @return string + */ + public function getKey() + { + return $this->key; + } + + /** + * @return string + */ + public function getCounter() + { + return ParagonIE_Sodium_Core32_Util::store32_le($this->counter); + } + + /** + * @return string + */ + public function getNonce() + { + if (!is_string($this->nonce)) { + $this->nonce = str_repeat("\0", 12); + } + if (ParagonIE_Sodium_Core32_Util::strlen($this->nonce) !== 12) { + $this->nonce = str_pad($this->nonce, 12, "\0", STR_PAD_RIGHT); + } + return $this->nonce; + } + + /** + * @return string + */ + public function getCombinedNonce() + { + return $this->getCounter() . + ParagonIE_Sodium_Core32_Util::substr($this->getNonce(), 0, 8); + } + + /** + * @return self + */ + public function incrementCounter() + { + ++$this->counter; + return $this; + } + + /** + * @return bool + */ + public function needsRekey() + { + return ($this->counter & 0xffff) === 0; + } + + /** + * @param string $newKeyAndNonce + * @return self + */ + public function rekey($newKeyAndNonce) + { + $this->key = ParagonIE_Sodium_Core32_Util::substr($newKeyAndNonce, 0, 32); + $this->nonce = str_pad( + ParagonIE_Sodium_Core32_Util::substr($newKeyAndNonce, 32), + 12, + "\0", + STR_PAD_RIGHT + ); + return $this; + } + + /** + * @param string $str + * @return self + */ + public function xorNonce($str) + { + $this->nonce = ParagonIE_Sodium_Core32_Util::xorStrings( + $this->getNonce(), + str_pad( + ParagonIE_Sodium_Core32_Util::substr($str, 0, 8), + 12, + "\0", + STR_PAD_RIGHT + ) + ); + return $this; + } + + /** + * @param string $string + * @return self + */ + public static function fromString($string) + { + $state = new ParagonIE_Sodium_Core32_SecretStream_State( + ParagonIE_Sodium_Core32_Util::substr($string, 0, 32) + ); + $state->counter = ParagonIE_Sodium_Core32_Util::load_4( + ParagonIE_Sodium_Core32_Util::substr($string, 32, 4) + ); + $state->nonce = ParagonIE_Sodium_Core32_Util::substr($string, 36, 12); + $state->_pad = ParagonIE_Sodium_Core32_Util::substr($string, 48, 8); + return $state; + } + + /** + * @return string + */ + public function toString() + { + return $this->key . + $this->getCounter() . + $this->nonce . + $this->_pad; + } +} diff --git a/vendor/paragonie/sodium_compat/src/Core32/SipHash.php b/vendor/paragonie/sodium_compat/src/Core32/SipHash.php new file mode 100644 index 0000000..079946d --- /dev/null +++ b/vendor/paragonie/sodium_compat/src/Core32/SipHash.php @@ -0,0 +1,238 @@ +<?php + +if (class_exists('ParagonIE_Sodium_Core32_SipHash', false)) { + return; +} + +/** + * Class ParagonIE_SodiumCompat_Core32_SipHash + * + * Only uses 32-bit arithmetic, while the original SipHash used 64-bit integers + */ +class ParagonIE_Sodium_Core32_SipHash extends ParagonIE_Sodium_Core32_Util +{ + /** + * @internal You should not use this directly from another application + * + * @param array<int, ParagonIE_Sodium_Core32_Int64> $v + * @return array<int, ParagonIE_Sodium_Core32_Int64> + */ + public static function sipRound(array $v) + { + # v0 += v1; + $v[0] = $v[0]->addInt64($v[1]); + + # v1 = ROTL(v1, 13); + $v[1] = $v[1]->rotateLeft(13); + + # v1 ^= v0; + $v[1] = $v[1]->xorInt64($v[0]); + + # v0=ROTL(v0,32); + $v[0] = $v[0]->rotateLeft(32); + + # v2 += v3; + $v[2] = $v[2]->addInt64($v[3]); + + # v3=ROTL(v3,16); + $v[3] = $v[3]->rotateLeft(16); + + # v3 ^= v2; + $v[3] = $v[3]->xorInt64($v[2]); + + # v0 += v3; + $v[0] = $v[0]->addInt64($v[3]); + + # v3=ROTL(v3,21); + $v[3] = $v[3]->rotateLeft(21); + + # v3 ^= v0; + $v[3] = $v[3]->xorInt64($v[0]); + + # v2 += v1; + $v[2] = $v[2]->addInt64($v[1]); + + # v1=ROTL(v1,17); + $v[1] = $v[1]->rotateLeft(17); + + # v1 ^= v2; + $v[1] = $v[1]->xorInt64($v[2]); + + # v2=ROTL(v2,32) + $v[2] = $v[2]->rotateLeft(32); + + return $v; + } + + /** + * @internal You should not use this directly from another application + * + * @param string $in + * @param string $key + * @return string + * @throws SodiumException + * @throws TypeError + */ + public static function sipHash24($in, $key) + { + $inlen = self::strlen($in); + + # /* "somepseudorandomlygeneratedbytes" */ + # u64 v0 = 0x736f6d6570736575ULL; + # u64 v1 = 0x646f72616e646f6dULL; + # u64 v2 = 0x6c7967656e657261ULL; + # u64 v3 = 0x7465646279746573ULL; + $v = array( + new ParagonIE_Sodium_Core32_Int64( + array(0x736f, 0x6d65, 0x7073, 0x6575) + ), + new ParagonIE_Sodium_Core32_Int64( + array(0x646f, 0x7261, 0x6e64, 0x6f6d) + ), + new ParagonIE_Sodium_Core32_Int64( + array(0x6c79, 0x6765, 0x6e65, 0x7261) + ), + new ParagonIE_Sodium_Core32_Int64( + array(0x7465, 0x6462, 0x7974, 0x6573) + ) + ); + + # u64 k0 = LOAD64_LE( k ); + # u64 k1 = LOAD64_LE( k + 8 ); + $k = array( + ParagonIE_Sodium_Core32_Int64::fromReverseString( + self::substr($key, 0, 8) + ), + ParagonIE_Sodium_Core32_Int64::fromReverseString( + self::substr($key, 8, 8) + ) + ); + + # b = ( ( u64 )inlen ) << 56; + $b = new ParagonIE_Sodium_Core32_Int64( + array(($inlen << 8) & 0xffff, 0, 0, 0) + ); + + # v3 ^= k1; + $v[3] = $v[3]->xorInt64($k[1]); + # v2 ^= k0; + $v[2] = $v[2]->xorInt64($k[0]); + # v1 ^= k1; + $v[1] = $v[1]->xorInt64($k[1]); + # v0 ^= k0; + $v[0] = $v[0]->xorInt64($k[0]); + + $left = $inlen; + # for ( ; in != end; in += 8 ) + while ($left >= 8) { + # m = LOAD64_LE( in ); + $m = ParagonIE_Sodium_Core32_Int64::fromReverseString( + self::substr($in, 0, 8) + ); + + # v3 ^= m; + $v[3] = $v[3]->xorInt64($m); + + # SIPROUND; + # SIPROUND; + $v = self::sipRound($v); + $v = self::sipRound($v); + + # v0 ^= m; + $v[0] = $v[0]->xorInt64($m); + + $in = self::substr($in, 8); + $left -= 8; + } + + # switch( left ) + # { + # case 7: b |= ( ( u64 )in[ 6] ) << 48; + # case 6: b |= ( ( u64 )in[ 5] ) << 40; + # case 5: b |= ( ( u64 )in[ 4] ) << 32; + # case 4: b |= ( ( u64 )in[ 3] ) << 24; + # case 3: b |= ( ( u64 )in[ 2] ) << 16; + # case 2: b |= ( ( u64 )in[ 1] ) << 8; + # case 1: b |= ( ( u64 )in[ 0] ); break; + # case 0: break; + # } + switch ($left) { + case 7: + $b = $b->orInt64( + ParagonIE_Sodium_Core32_Int64::fromInts( + 0, self::chrToInt($in[6]) << 16 + ) + ); + case 6: + $b = $b->orInt64( + ParagonIE_Sodium_Core32_Int64::fromInts( + 0, self::chrToInt($in[5]) << 8 + ) + ); + case 5: + $b = $b->orInt64( + ParagonIE_Sodium_Core32_Int64::fromInts( + 0, self::chrToInt($in[4]) + ) + ); + case 4: + $b = $b->orInt64( + ParagonIE_Sodium_Core32_Int64::fromInts( + self::chrToInt($in[3]) << 24, 0 + ) + ); + case 3: + $b = $b->orInt64( + ParagonIE_Sodium_Core32_Int64::fromInts( + self::chrToInt($in[2]) << 16, 0 + ) + ); + case 2: + $b = $b->orInt64( + ParagonIE_Sodium_Core32_Int64::fromInts( + self::chrToInt($in[1]) << 8, 0 + ) + ); + case 1: + $b = $b->orInt64( + ParagonIE_Sodium_Core32_Int64::fromInts( + self::chrToInt($in[0]), 0 + ) + ); + case 0: + break; + } + + # v3 ^= b; + $v[3] = $v[3]->xorInt64($b); + + # SIPROUND; + # SIPROUND; + $v = self::sipRound($v); + $v = self::sipRound($v); + + # v0 ^= b; + $v[0] = $v[0]->xorInt64($b); + + // Flip the lower 8 bits of v2 which is ($v[4], $v[5]) in our implementation + # v2 ^= 0xff; + $v[2]->limbs[3] ^= 0xff; + + # SIPROUND; + # SIPROUND; + # SIPROUND; + # SIPROUND; + $v = self::sipRound($v); + $v = self::sipRound($v); + $v = self::sipRound($v); + $v = self::sipRound($v); + + # b = v0 ^ v1 ^ v2 ^ v3; + # STORE64_LE( out, b ); + return $v[0] + ->xorInt64($v[1]) + ->xorInt64($v[2]) + ->xorInt64($v[3]) + ->toReverseString(); + } +} diff --git a/vendor/paragonie/sodium_compat/src/Core32/Util.php b/vendor/paragonie/sodium_compat/src/Core32/Util.php new file mode 100644 index 0000000..f32e5ad --- /dev/null +++ b/vendor/paragonie/sodium_compat/src/Core32/Util.php @@ -0,0 +1,13 @@ +<?php + +if (class_exists('ParagonIE_Sodium_Core32_Util', false)) { + return; +} + +/** + * Class ParagonIE_Sodium_Core_Util + */ +abstract class ParagonIE_Sodium_Core32_Util extends ParagonIE_Sodium_Core_Util +{ + +} diff --git a/vendor/paragonie/sodium_compat/src/Core32/X25519.php b/vendor/paragonie/sodium_compat/src/Core32/X25519.php new file mode 100644 index 0000000..2cc000d --- /dev/null +++ b/vendor/paragonie/sodium_compat/src/Core32/X25519.php @@ -0,0 +1,345 @@ +<?php + +if (class_exists('ParagonIE_Sodium_Core32_X25519', false)) { + return; +} + +/** + * Class ParagonIE_Sodium_Core32_X25519 + */ +abstract class ParagonIE_Sodium_Core32_X25519 extends ParagonIE_Sodium_Core32_Curve25519 +{ + /** + * Alters the objects passed to this method in place. + * + * @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 void + * @throws SodiumException + * @throws TypeError + * @psalm-suppress MixedMethodCall + */ + public static function fe_cswap( + ParagonIE_Sodium_Core32_Curve25519_Fe $f, + ParagonIE_Sodium_Core32_Curve25519_Fe $g, + $b = 0 + ) { + $f0 = (int) $f[0]->toInt(); + $f1 = (int) $f[1]->toInt(); + $f2 = (int) $f[2]->toInt(); + $f3 = (int) $f[3]->toInt(); + $f4 = (int) $f[4]->toInt(); + $f5 = (int) $f[5]->toInt(); + $f6 = (int) $f[6]->toInt(); + $f7 = (int) $f[7]->toInt(); + $f8 = (int) $f[8]->toInt(); + $f9 = (int) $f[9]->toInt(); + $g0 = (int) $g[0]->toInt(); + $g1 = (int) $g[1]->toInt(); + $g2 = (int) $g[2]->toInt(); + $g3 = (int) $g[3]->toInt(); + $g4 = (int) $g[4]->toInt(); + $g5 = (int) $g[5]->toInt(); + $g6 = (int) $g[6]->toInt(); + $g7 = (int) $g[7]->toInt(); + $g8 = (int) $g[8]->toInt(); + $g9 = (int) $g[9]->toInt(); + $b = -$b; + /** @var int $x0 */ + $x0 = ($f0 ^ $g0) & $b; + /** @var int $x1 */ + $x1 = ($f1 ^ $g1) & $b; + /** @var int $x2 */ + $x2 = ($f2 ^ $g2) & $b; + /** @var int $x3 */ + $x3 = ($f3 ^ $g3) & $b; + /** @var int $x4 */ + $x4 = ($f4 ^ $g4) & $b; + /** @var int $x5 */ + $x5 = ($f5 ^ $g5) & $b; + /** @var int $x6 */ + $x6 = ($f6 ^ $g6) & $b; + /** @var int $x7 */ + $x7 = ($f7 ^ $g7) & $b; + /** @var int $x8 */ + $x8 = ($f8 ^ $g8) & $b; + /** @var int $x9 */ + $x9 = ($f9 ^ $g9) & $b; + $f[0] = ParagonIE_Sodium_Core32_Int32::fromInt($f0 ^ $x0); + $f[1] = ParagonIE_Sodium_Core32_Int32::fromInt($f1 ^ $x1); + $f[2] = ParagonIE_Sodium_Core32_Int32::fromInt($f2 ^ $x2); + $f[3] = ParagonIE_Sodium_Core32_Int32::fromInt($f3 ^ $x3); + $f[4] = ParagonIE_Sodium_Core32_Int32::fromInt($f4 ^ $x4); + $f[5] = ParagonIE_Sodium_Core32_Int32::fromInt($f5 ^ $x5); + $f[6] = ParagonIE_Sodium_Core32_Int32::fromInt($f6 ^ $x6); + $f[7] = ParagonIE_Sodium_Core32_Int32::fromInt($f7 ^ $x7); + $f[8] = ParagonIE_Sodium_Core32_Int32::fromInt($f8 ^ $x8); + $f[9] = ParagonIE_Sodium_Core32_Int32::fromInt($f9 ^ $x9); + $g[0] = ParagonIE_Sodium_Core32_Int32::fromInt($g0 ^ $x0); + $g[1] = ParagonIE_Sodium_Core32_Int32::fromInt($g1 ^ $x1); + $g[2] = ParagonIE_Sodium_Core32_Int32::fromInt($g2 ^ $x2); + $g[3] = ParagonIE_Sodium_Core32_Int32::fromInt($g3 ^ $x3); + $g[4] = ParagonIE_Sodium_Core32_Int32::fromInt($g4 ^ $x4); + $g[5] = ParagonIE_Sodium_Core32_Int32::fromInt($g5 ^ $x5); + $g[6] = ParagonIE_Sodium_Core32_Int32::fromInt($g6 ^ $x6); + $g[7] = ParagonIE_Sodium_Core32_Int32::fromInt($g7 ^ $x7); + $g[8] = ParagonIE_Sodium_Core32_Int32::fromInt($g8 ^ $x8); + $g[9] = ParagonIE_Sodium_Core32_Int32::fromInt($g9 ^ $x9); + } + + /** + * @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 MixedAssignment + * @psalm-suppress MixedMethodCall + */ + public static function fe_mul121666(ParagonIE_Sodium_Core32_Curve25519_Fe $f) + { + /** @var array<int, ParagonIE_Sodium_Core32_Int64> $h */ + $h = array(); + for ($i = 0; $i < 10; ++$i) { + $h[$i] = $f[$i]->toInt64()->mulInt(121666, 17); + } + + $carry9 = $h[9]->addInt(1 << 24)->shiftRight(25); + $h[0] = $h[0]->addInt64($carry9->mulInt(19, 5)); + $h[9] = $h[9]->subInt64($carry9->shiftLeft(25)); + + $carry1 = $h[1]->addInt(1 << 24)->shiftRight(25); + $h[2] = $h[2]->addInt64($carry1); + $h[1] = $h[1]->subInt64($carry1->shiftLeft(25)); + + $carry3 = $h[3]->addInt(1 << 24)->shiftRight(25); + $h[4] = $h[4]->addInt64($carry3); + $h[3] = $h[3]->subInt64($carry3->shiftLeft(25)); + + $carry5 = $h[5]->addInt(1 << 24)->shiftRight(25); + $h[6] = $h[6]->addInt64($carry5); + $h[5] = $h[5]->subInt64($carry5->shiftLeft(25)); + + $carry7 = $h[7]->addInt(1 << 24)->shiftRight(25); + $h[8] = $h[8]->addInt64($carry7); + $h[7] = $h[7]->subInt64($carry7->shiftLeft(25)); + + $carry0 = $h[0]->addInt(1 << 25)->shiftRight(26); + $h[1] = $h[1]->addInt64($carry0); + $h[0] = $h[0]->subInt64($carry0->shiftLeft(26)); + + $carry2 = $h[2]->addInt(1 << 25)->shiftRight(26); + $h[3] = $h[3]->addInt64($carry2); + $h[2] = $h[2]->subInt64($carry2->shiftLeft(26)); + + $carry4 = $h[4]->addInt(1 << 25)->shiftRight(26); + $h[5] = $h[5]->addInt64($carry4); + $h[4] = $h[4]->subInt64($carry4->shiftLeft(26)); + + $carry6 = $h[6]->addInt(1 << 25)->shiftRight(26); + $h[7] = $h[7]->addInt64($carry6); + $h[6] = $h[6]->subInt64($carry6->shiftLeft(26)); + + $carry8 = $h[8]->addInt(1 << 25)->shiftRight(26); + $h[9] = $h[9]->addInt64($carry8); + $h[8] = $h[8]->subInt64($carry8->shiftLeft(26)); + + for ($i = 0; $i < 10; ++$i) { + $h[$i] = $h[$i]->toInt32(); + } + /** @var array<int, ParagonIE_Sodium_Core32_Int32> $h2 */ + $h2 = $h; + return ParagonIE_Sodium_Core32_Curve25519_Fe::fromArray($h2); + } + + /** + * @internal You should not use this directly from another application + * + * Inline comments preceded by # are from libsodium's ref10 code. + * + * @param string $n + * @param string $p + * @return string + * @throws SodiumException + * @throws TypeError + */ + public static function crypto_scalarmult_curve25519_ref10($n, $p) + { + # for (i = 0;i < 32;++i) e[i] = n[i]; + $e = '' . $n; + # e[0] &= 248; + $e[0] = self::intToChr( + self::chrToInt($e[0]) & 248 + ); + # e[31] &= 127; + # e[31] |= 64; + $e[31] = self::intToChr( + (self::chrToInt($e[31]) & 127) | 64 + ); + # fe_frombytes(x1,p); + $x1 = self::fe_frombytes($p); + # fe_1(x2); + $x2 = self::fe_1(); + # fe_0(z2); + $z2 = self::fe_0(); + # fe_copy(x3,x1); + $x3 = self::fe_copy($x1); + # fe_1(z3); + $z3 = self::fe_1(); + + # swap = 0; + /** @var int $swap */ + $swap = 0; + + # for (pos = 254;pos >= 0;--pos) { + for ($pos = 254; $pos >= 0; --$pos) { + # b = e[pos / 8] >> (pos & 7); + /** @var int $b */ + $b = self::chrToInt( + $e[(int) floor($pos / 8)] + ) >> ($pos & 7); + # b &= 1; + $b &= 1; + + # swap ^= b; + $swap ^= $b; + + # fe_cswap(x2,x3,swap); + self::fe_cswap($x2, $x3, $swap); + + # fe_cswap(z2,z3,swap); + self::fe_cswap($z2, $z3, $swap); + + # swap = b; + /** @var int $swap */ + $swap = $b; + + # fe_sub(tmp0,x3,z3); + $tmp0 = self::fe_sub($x3, $z3); + + # fe_sub(tmp1,x2,z2); + $tmp1 = self::fe_sub($x2, $z2); + + # fe_add(x2,x2,z2); + $x2 = self::fe_add($x2, $z2); + + # fe_add(z2,x3,z3); + $z2 = self::fe_add($x3, $z3); + + # fe_mul(z3,tmp0,x2); + $z3 = self::fe_mul($tmp0, $x2); + + # fe_mul(z2,z2,tmp1); + $z2 = self::fe_mul($z2, $tmp1); + + # fe_sq(tmp0,tmp1); + $tmp0 = self::fe_sq($tmp1); + + # fe_sq(tmp1,x2); + $tmp1 = self::fe_sq($x2); + + # fe_add(x3,z3,z2); + $x3 = self::fe_add($z3, $z2); + + # fe_sub(z2,z3,z2); + $z2 = self::fe_sub($z3, $z2); + + # fe_mul(x2,tmp1,tmp0); + $x2 = self::fe_mul($tmp1, $tmp0); + + # fe_sub(tmp1,tmp1,tmp0); + $tmp1 = self::fe_sub($tmp1, $tmp0); + + # fe_sq(z2,z2); + $z2 = self::fe_sq($z2); + + # fe_mul121666(z3,tmp1); + $z3 = self::fe_mul121666($tmp1); + + # fe_sq(x3,x3); + $x3 = self::fe_sq($x3); + + # fe_add(tmp0,tmp0,z3); + $tmp0 = self::fe_add($tmp0, $z3); + + # fe_mul(z3,x1,z2); + $z3 = self::fe_mul($x1, $z2); + + # fe_mul(z2,tmp1,tmp0); + $z2 = self::fe_mul($tmp1, $tmp0); + } + + # fe_cswap(x2,x3,swap); + self::fe_cswap($x2, $x3, $swap); + + # fe_cswap(z2,z3,swap); + self::fe_cswap($z2, $z3, $swap); + + # fe_invert(z2,z2); + $z2 = self::fe_invert($z2); + + # fe_mul(x2,x2,z2); + $x2 = self::fe_mul($x2, $z2); + # fe_tobytes(q,x2); + return (string) self::fe_tobytes($x2); + } + + /** + * @internal You should not use this directly from another application + * + * @param ParagonIE_Sodium_Core32_Curve25519_Fe $edwardsY + * @param ParagonIE_Sodium_Core32_Curve25519_Fe $edwardsZ + * @return ParagonIE_Sodium_Core32_Curve25519_Fe + * @throws SodiumException + * @throws TypeError + */ + public static function edwards_to_montgomery( + ParagonIE_Sodium_Core32_Curve25519_Fe $edwardsY, + ParagonIE_Sodium_Core32_Curve25519_Fe $edwardsZ + ) { + $tempX = self::fe_add($edwardsZ, $edwardsY); + $tempZ = self::fe_sub($edwardsZ, $edwardsY); + $tempZ = self::fe_invert($tempZ); + return self::fe_mul($tempX, $tempZ); + } + + /** + * @internal You should not use this directly from another application + * + * @param string $n + * @return string + * @throws SodiumException + * @throws TypeError + */ + public static function crypto_scalarmult_curve25519_ref10_base($n) + { + # for (i = 0;i < 32;++i) e[i] = n[i]; + $e = '' . $n; + + # e[0] &= 248; + $e[0] = self::intToChr( + self::chrToInt($e[0]) & 248 + ); + + # e[31] &= 127; + # e[31] |= 64; + $e[31] = self::intToChr( + (self::chrToInt($e[31]) & 127) | 64 + ); + + $A = self::ge_scalarmult_base($e); + if ( + !($A->Y instanceof ParagonIE_Sodium_Core32_Curve25519_Fe) + || + !($A->Z instanceof ParagonIE_Sodium_Core32_Curve25519_Fe) + ) { + throw new TypeError('Null points encountered'); + } + $pk = self::edwards_to_montgomery($A->Y, $A->Z); + return self::fe_tobytes($pk); + } +} diff --git a/vendor/paragonie/sodium_compat/src/Core32/XChaCha20.php b/vendor/paragonie/sodium_compat/src/Core32/XChaCha20.php new file mode 100644 index 0000000..1dfc859 --- /dev/null +++ b/vendor/paragonie/sodium_compat/src/Core32/XChaCha20.php @@ -0,0 +1,64 @@ +<?php + +if (class_exists('ParagonIE_Sodium_Core32_XChaCha20', false)) { + return; +} + +/** + * Class ParagonIE_Sodium_Core32_XChaCha20 + */ +class ParagonIE_Sodium_Core32_XChaCha20 extends ParagonIE_Sodium_Core32_HChaCha20 +{ + /** + * @internal You should not use this directly from another application + * + * @param int $len + * @param string $nonce + * @param string $key + * @return string + * @throws SodiumException + * @throws TypeError + */ + public static function stream($len = 64, $nonce = '', $key = '') + { + if (self::strlen($nonce) !== 24) { + throw new SodiumException('Nonce must be 24 bytes long'); + } + return self::encryptBytes( + new ParagonIE_Sodium_Core32_ChaCha20_Ctx( + self::hChaCha20( + self::substr($nonce, 0, 16), + $key + ), + self::substr($nonce, 16, 8) + ), + str_repeat("\x00", $len) + ); + } + + /** + * @internal You should not use this directly from another application + * + * @param string $message + * @param string $nonce + * @param string $key + * @param string $ic + * @return string + * @throws SodiumException + * @throws TypeError + */ + public static function streamXorIc($message, $nonce = '', $key = '', $ic = '') + { + if (self::strlen($nonce) !== 24) { + throw new SodiumException('Nonce must be 24 bytes long'); + } + return self::encryptBytes( + new ParagonIE_Sodium_Core32_ChaCha20_Ctx( + self::hChaCha20(self::substr($nonce, 0, 16), $key), + self::substr($nonce, 16, 8), + $ic + ), + $message + ); + } +} diff --git a/vendor/paragonie/sodium_compat/src/Core32/XSalsa20.php b/vendor/paragonie/sodium_compat/src/Core32/XSalsa20.php new file mode 100644 index 0000000..a16b93b --- /dev/null +++ b/vendor/paragonie/sodium_compat/src/Core32/XSalsa20.php @@ -0,0 +1,57 @@ +<?php + +if (class_exists('ParagonIE_Sodium_Core32_XSalsa20', false)) { + return; +} + +/** + * Class ParagonIE_Sodium_Core32_XSalsa20 + */ +abstract class ParagonIE_Sodium_Core32_XSalsa20 extends ParagonIE_Sodium_Core32_HSalsa20 +{ + /** + * Expand a key and nonce into an xsalsa20 keystream. + * + * @internal You should not use this directly from another application + * + * @param int $len + * @param string $nonce + * @param string $key + * @return string + * @throws SodiumException + * @throws TypeError + */ + public static function xsalsa20($len, $nonce, $key) + { + $ret = self::salsa20( + $len, + self::substr($nonce, 16, 8), + self::hsalsa20($nonce, $key) + ); + return $ret; + } + + /** + * Encrypt a string with XSalsa20. Doesn't provide integrity. + * + * @internal You should not use this directly from another application + * + * @param string $message + * @param string $nonce + * @param string $key + * @return string + * @throws SodiumException + * @throws TypeError + */ + public static function xsalsa20_xor($message, $nonce, $key) + { + return self::xorStrings( + $message, + self::xsalsa20( + self::strlen($message), + $nonce, + $key + ) + ); + } +} |