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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 ''; } } }