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<?php |
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declare(strict_types=1); |
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namespace Ivory\Value; |
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use Ivory\Exception\ImmutableException; |
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use Ivory\Exception\IncomparableException; |
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use Ivory\Exception\UndefinedOperationException; |
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use Ivory\Value\Alg\IComparable; |
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/** |
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* A common super type for bit string types - strings of 1's and 0's. |
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* |
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* The objects are immutable, i.e., operations always produce a new object. |
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* The representation and operations resemble the specification for bit string types in PostgreSQL. |
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* |
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* It is possible to access individual bits using the array indices (readonly). The leftmost bit is at offset 0. Testing |
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* whether the bit string has a bit at a given offset may be performed using `isset($this[$offset])`. Note that, apart |
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* from reading out of such a call, it does not test whether the given bit is *set* (i.e., whether it is 1) - it merely |
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* tests whether it is legal to access it. Negative offsets may be used to get bits off the end of the string. |
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* |
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* @see http://www.postgresql.org/docs/current/static/datatype-bit.html PostgreSQL Bit String Types |
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* @see http://www.postgresql.org/docs/current/static/functions-bitstring.html PostgreSQL Bit String Functions and Operators |
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* |
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* @todo optimize the internal representation (unpack('c*', $value) might be handy for constructing from string) |
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*/ |
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abstract class BitString implements IComparable, \ArrayAccess |
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{ |
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protected $bits; |
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protected $len; |
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/** |
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* @param string $bits |
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*/ |
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protected function __construct(string $bits) |
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{ |
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if (!preg_match('~^[01]*$~', $bits)) { |
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throw new \InvalidArgumentException('bits'); |
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} |
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$this->bits = $bits; |
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$this->len = strlen($bits); |
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} |
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/** |
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* @return string textual representation of this bit string (index 0 is the leftmost bit): a string of 1's and 0's |
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*/ |
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public function toString(): string |
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{ |
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return $this->bits; |
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} |
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/** |
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* @return int number of bits in the bit string |
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*/ |
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public function getLength(): int |
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{ |
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return $this->len; |
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} |
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/** |
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* @return bool whether all the bits are zero |
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*/ |
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public function isZero(): bool |
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{ |
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return !$this->isNonZero(); |
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} |
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/** |
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* @return bool whether some bit is one |
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*/ |
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public function isNonZero(): bool |
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{ |
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for ($i = 0; $i < $this->len; $i++) { |
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if ($this->bits[$i] == '1') { |
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return true; |
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} |
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} |
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return false; |
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} |
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/** |
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* @param BitString|null $other |
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* @return bool whether this and the other bit string are of the same type, have the same bits and same length |
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*/ |
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public function equals($other): bool |
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{ |
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return ( |
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$other !== null && |
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get_class($this) == get_class($other) && |
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$this->bits == $other->bits |
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); |
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} |
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public function compareTo($other): int |
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{ |
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if ($other === null) { |
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throw new \InvalidArgumentException('comparing with null'); |
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} |
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if (get_class($this) != get_class($other)) { |
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throw new IncomparableException(); |
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} |
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return strcmp($this->bits, $other->bits); |
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} |
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/** |
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* @param BitString $other any bit string of any length |
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* @return bool whether this and the other bit string have the same bits, i.e., are the same 1's and 0's strings |
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*/ |
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public function bitEquals(BitString $other): bool |
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{ |
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return ($this->bits === $other->bits); // ===: PHP would otherwise convert both strings to integers |
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} |
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/** |
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* Finds out whether the operands intersect at a 1 bit. |
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* |
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* Works for any lengths of the bit strings. The shorter bit string is right-padded with 0's. |
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* |
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* @param BitString $other any bit string of any length |
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* @return bool whether this and the other bit string share at least one set bit at the same offset |
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*/ |
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public function intersects(BitString $other): bool |
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{ |
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for ($i = min($this->len, $other->len) - 1; $i >= 0; $i--) { |
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if ($this->bits[$i] == '1' && $other->bits[$i] == '1') { |
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return true; |
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} |
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} |
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return false; |
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} |
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/** |
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* Extracts a bit substring from this bit string. |
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* |
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* Note the semantics are according to the SQL standard, which PostgreSQL implements. That is, the arguments do NOT |
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* work the same as for PHP {@link substr()} function. |
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* |
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* Examples: |
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* - `substring(2)` on `'1101001'` yields `'101001'` |
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* - `substring(2, 4)` on `'1101001'` yields `'1010'` |
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* - `substring(2, 0)` on `'1101001'` yields `''` |
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* - `substring(-2, 4)` on `'1101001'` yields `'1'` |
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* |
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* @param int $from position to start at; |
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* one-based - e.g., <tt>$from = 2</tt> omits the first character; |
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* if less than one, it yields the start of the string, but counting from the given (negative or |
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* zero) position, effectively decreasing the <tt>$for</tt> argument, if given |
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* @param int|null $for number of characters to take; must be non-negative; |
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* <tt>null</tt> for the rest of the string |
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* @return FixedBitString the substring of the bit string |
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* @throws UndefinedOperationException when <tt>$for</tt> is negative |
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*/ |
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public function substring(int $from, ?int $for = null): FixedBitString |
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{ |
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if ($for < 0) { |
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throw new UndefinedOperationException('negative number of bits to take'); |
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} |
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$offset = max(0, $from - 1); |
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if ($offset >= $this->len) { |
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return FixedBitString::fromString(''); |
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} |
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if ($for === null) { |
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$len = $this->len; |
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} elseif ($from >= 0) { |
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$len = $for; |
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} else { |
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$len = max(0, $for + $from - 1); |
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} |
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return FixedBitString::fromString(substr($this->bits, $offset, $len)); |
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} |
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/** |
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* Concatenates this bit string with another one. |
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* |
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* The result is a bit string with bits of this bit string followed by the bits from the `$concatenated` bit string. |
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* |
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* If both the operands are fixed-length of length `A` and `B`, the result is a fixed-length bit string of length |
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* `A+B`. Otherwise, the result is a variable-length bit string. |
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* |
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* @param BitString $concatenated |
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* @return VarBitString bit string made up by concatenating the <tt>$concatenated</tt> after this bit string |
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*/ |
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public function concat(BitString $concatenated): VarBitString |
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{ |
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return VarBitString::fromString($this->bits . $concatenated->bits); |
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} |
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/** |
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* Bitwise AND operation. Only legal for operands of equal bit lengths. |
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* |
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* @param BitString $other the other operand |
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* @return FixedBitString new bit string: <tt>$this & $other</tt> |
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* @throws UndefinedOperationException if the operands are of different bit lengths |
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*/ |
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public function bitAnd(BitString $other): FixedBitString |
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{ |
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if ($this->len != $other->len) { |
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throw new UndefinedOperationException('operands are of different bit lengths'); |
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} |
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$res = str_repeat('0', $this->len); |
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for ($i = 0; $i < $this->len; $i++) { |
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if ($this->bits[$i] == '1' && $other->bits[$i] == '1') { |
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$res[$i] = '1'; |
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} |
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} |
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return FixedBitString::fromString($res); |
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} |
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/** |
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* Bitwise OR operation. Only legal for operands of equal bit lengths. |
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* |
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* @param BitString $other the other operand |
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* @return FixedBitString new bit string: <tt>$this | $other</tt> |
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* @throws UndefinedOperationException if the operands are of different bit lengths |
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*/ |
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public function bitOr(BitString $other): FixedBitString |
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{ |
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if ($this->len != $other->len) { |
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throw new UndefinedOperationException('operands are of different bit lengths'); |
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} |
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$res = str_repeat('1', $this->len); |
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for ($i = 0; $i < $this->len; $i++) { |
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if ($this->bits[$i] == '0' && $other->bits[$i] == '0') { |
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$res[$i] = '0'; |
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} |
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} |
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return FixedBitString::fromString($res); |
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} |
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/** |
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* Bitwise exclusive OR operation. Only legal for operands of equal bit lengths. |
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* |
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* @param BitString $other the other operand |
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* @return FixedBitString new bit string: <tt>$this ^ $other</tt> |
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* @throws UndefinedOperationException if the operands are of different bit lengths |
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*/ |
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public function bitXor(BitString $other): FixedBitString |
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{ |
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if ($this->len != $other->len) { |
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throw new UndefinedOperationException('operands are of different bit lengths'); |
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} |
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$res = str_repeat('0', $this->len); |
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for ($i = 0; $i < $this->len; $i++) { |
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if ($this->bits[$i] != $other->bits[$i]) { |
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$res[$i] = '1'; |
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} |
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} |
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return FixedBitString::fromString($res); |
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} |
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/** |
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* Bitwise negation, i.e., reverses all bits of the bit string. |
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* |
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* @return FixedBitString new bit string: <tt>~$this</tt> |
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*/ |
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public function bitNot(): FixedBitString |
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271
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{ |
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return FixedBitString::fromString(strtr($this->bits, '01', '10')); |
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} |
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274
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275
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/** |
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276
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* Shifts the bits to the left. |
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* |
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* The length of the bit string is preserved, thus, the `$shift` left trailing bits are discarded. The shifted bit |
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* positions are filled with 0's. |
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* |
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281
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* @param int $shift number of positions to shift the bits to the left; |
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* might even be negative (results in shifting to the right by <tt>-$shift</tt>) |
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* @return FixedBitString a bit string with bits shifted by <tt>$shift</tt> to the left |
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*/ |
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285
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public function bitShiftLeft(int $shift): FixedBitString |
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286
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{ |
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287
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if ($shift < 0) { |
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return $this->bitShiftRight(-$shift); |
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} |
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290
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291
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$pad = min($this->len, $shift); |
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292
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$prefix = ($pad == $this->len ? '' : substr($this->bits, $pad)); |
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293
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return FixedBitString::fromString($prefix . str_repeat('0', $pad)); |
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294
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} |
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295
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296
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/** |
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297
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* Shifts the bits to the right. |
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298
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* |
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299
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* The length of the bit string is preserved, thus, the `$shift` right trailing bits are discarded. The shifted bit |
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300
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* positions are filled with 0's. |
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301
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* |
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302
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* @param int $shift number of positions to shift the bits to the right; |
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303
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* might even be negative (results in shifting to the left by <tt>-$shift</tt>) |
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304
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* @return FixedBitString a bit string with bits shifted by <tt>$shift</tt> to the right |
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305
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*/ |
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306
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public function bitShiftRight(int $shift): FixedBitString |
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307
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{ |
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308
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if ($shift < 0) { |
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309
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return $this->bitShiftLeft(-$shift); |
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310
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} |
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311
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312
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$pad = min($this->len, $shift); |
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313
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$postfix = substr($this->bits, 0, $this->len - $pad); |
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314
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|
return FixedBitString::fromString(str_repeat('0', $pad) . $postfix); |
|
315
|
|
|
} |
|
316
|
|
|
|
|
317
|
|
|
/** |
|
318
|
|
|
* Rotates the bits to the left. |
|
319
|
|
|
* |
|
320
|
|
|
* @param int $rot the length of the rotation |
|
321
|
|
|
* @return FixedBitString a bit string with <tt>$rot</tt> (mod length) leftmost bits moved to the back of the bit |
|
322
|
|
|
* string |
|
323
|
|
|
*/ |
|
324
|
|
|
public function bitRotateLeft(int $rot): FixedBitString |
|
325
|
|
|
{ |
|
326
|
|
|
if ($rot < 0) { |
|
327
|
|
|
return $this->bitRotateRight(-$rot); |
|
328
|
|
|
} |
|
329
|
|
|
if ($this->len == 0) { |
|
330
|
|
|
return FixedBitString::fromString(''); |
|
331
|
|
|
} |
|
332
|
|
|
|
|
333
|
|
|
$pos = $rot % $this->len; |
|
334
|
|
|
return FixedBitString::fromString(substr($this->bits, $pos) . substr($this->bits, 0, $pos)); |
|
335
|
|
|
} |
|
336
|
|
|
|
|
337
|
|
|
/** |
|
338
|
|
|
* Rotates the bits to the right. |
|
339
|
|
|
* |
|
340
|
|
|
* @param int $rot the length of the rotation |
|
341
|
|
|
* @return FixedBitString a bit string with <tt>$rot</tt> (mod length) rightmost bits moved to the front of the bit |
|
342
|
|
|
* string |
|
343
|
|
|
*/ |
|
344
|
|
|
public function bitRotateRight(int $rot): FixedBitString |
|
345
|
|
|
{ |
|
346
|
|
|
if ($rot < 0) { |
|
347
|
|
|
return $this->bitRotateLeft(-$rot); |
|
348
|
|
|
} |
|
349
|
|
|
if ($this->len == 0) { |
|
350
|
|
|
return FixedBitString::fromString(''); |
|
351
|
|
|
} |
|
352
|
|
|
|
|
353
|
|
|
$pos = $this->len - ($rot % $this->len); |
|
354
|
|
|
return FixedBitString::fromString(substr($this->bits, $pos) . substr($this->bits, 0, $pos)); |
|
355
|
|
|
} |
|
356
|
|
|
|
|
357
|
|
|
|
|
358
|
|
|
public function __toString() |
|
359
|
|
|
{ |
|
360
|
|
|
return $this->toString(); |
|
361
|
|
|
} |
|
362
|
|
|
|
|
363
|
|
|
|
|
364
|
|
|
/** |
|
365
|
|
|
* @param int $offset the bit to know existence of; 0 for the leftmost bit, 1 for the next bit, -1 for the rightmost |
|
366
|
|
|
* bit, etc. |
|
367
|
|
|
* @return bool <tt>true</tt> if the bit string has <tt>$offset</tt>-th bit defined, |
|
368
|
|
|
* <tt>false</tt> if the bit string is too short (i.e., shorter than <tt>$offset+1</tt> bits) |
|
369
|
|
|
*/ |
|
370
|
|
|
public function offsetExists($offset) |
|
371
|
|
|
{ |
|
372
|
|
|
if ($offset < 0 && PHP_VERSION_ID < 70100) { // PHP < 7.1 did not support negative string offsets |
|
373
|
|
|
$offset = $this->len + $offset; |
|
374
|
|
|
} |
|
375
|
|
|
|
|
376
|
|
|
return isset($this->bits[$offset]); |
|
377
|
|
|
} |
|
378
|
|
|
|
|
379
|
|
|
/** |
|
380
|
|
|
* @param int $offset the bit to get; 0 for the leftmost bit, 1 for the next bit, -1 for the rightmost bit, etc. |
|
381
|
|
|
* @return int|null 0 or 1 depending on whether the <tt>$offset</tt>-th bit is set, or |
|
382
|
|
|
* <tt>null</tt> if outside of the bit string |
|
383
|
|
|
*/ |
|
384
|
|
|
public function offsetGet($offset) |
|
385
|
|
|
{ |
|
386
|
|
|
if ($offset < 0 && PHP_VERSION_ID < 70100) { // PHP < 7.1 did not support negative string offsets |
|
387
|
|
|
$offset = $this->len + $offset; |
|
388
|
|
|
} |
|
389
|
|
|
|
|
390
|
|
|
if (isset($this->bits[$offset])) { |
|
391
|
|
|
return (int)$this->bits[$offset]; |
|
392
|
|
|
} else { |
|
393
|
|
|
return null; |
|
394
|
|
|
} |
|
395
|
|
|
} |
|
396
|
|
|
|
|
397
|
|
|
/** |
|
398
|
|
|
* Setting a bit is not implemented - the bit string is immutable. |
|
399
|
|
|
* |
|
400
|
|
|
* @param mixed $offset |
|
401
|
|
|
* @param mixed $value |
|
402
|
|
|
* @throws ImmutableException |
|
403
|
|
|
*/ |
|
404
|
|
|
public function offsetSet($offset, $value) |
|
405
|
|
|
{ |
|
406
|
|
|
throw new ImmutableException(); |
|
407
|
|
|
} |
|
408
|
|
|
|
|
409
|
|
|
/** |
|
410
|
|
|
* Unsetting a bit is not implemented - the bit string is immutable. |
|
411
|
|
|
* |
|
412
|
|
|
* @param mixed $offset |
|
413
|
|
|
* @throws ImmutableException |
|
414
|
|
|
*/ |
|
415
|
|
|
public function offsetUnset($offset) |
|
416
|
|
|
{ |
|
417
|
|
|
throw new ImmutableException(); |
|
418
|
|
|
} |
|
419
|
|
|
} |
|
420
|
|
|
|