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<?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 = ((int) $m >> 16);
$hi &= 0xffff;
/** @var int $lo */
$lo = ((int) $m) & 0xffff;
return new ParagonIE_Sodium_Core32_Int32(
array(
(int) ($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 = ((int) $product >> $baseLog2 & 0xffff);
$r[$i + $j] = ((int) $product - (int) ($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 '';
}
}
}