| 1 |  |  | <?php | 
            
                                                                                                            
                            
            
                                    
            
            
                | 2 |  |  | /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 3 |  |  |  * TRational class file | 
            
                                                                                                            
                            
            
                                    
            
            
                | 4 |  |  |  * | 
            
                                                                                                            
                            
            
                                    
            
            
                | 5 |  |  |  * @author Brad Anderson <[email protected]> | 
            
                                                                                                            
                            
            
                                    
            
            
                | 6 |  |  |  * @link https://github.com/pradosoft/prado | 
            
                                                                                                            
                            
            
                                    
            
            
                | 7 |  |  |  * @license https://github.com/pradosoft/prado/blob/master/LICENSE | 
            
                                                                                                            
                            
            
                                    
            
            
                | 8 |  |  |  */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 9 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 10 |  |  | namespace Prado\Util\Math; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 11 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 12 |  |  | use Prado\Exceptions\TInvalidDataValueException; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 13 |  |  | use Prado\Util\TBitHelper; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 14 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 15 |  |  | /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 16 |  |  |  * TRational class. | 
            
                                                                                                            
                            
            
                                    
            
            
                | 17 |  |  |  * | 
            
                                                                                                            
                            
            
                                    
            
            
                | 18 |  |  |  * TRational implements a fraction in the form of one integer {@link getNumerator | 
            
                                                                                                            
                            
            
                                    
            
            
                | 19 |  |  |  * Numerator} divided by another integer {@link getDenominator Denominator}. | 
            
                                                                                                            
                            
            
                                    
            
            
                | 20 |  |  |  * | 
            
                                                                                                            
                            
            
                                    
            
            
                | 21 |  |  |  * The class can be {@link __construct initialized} or its {@link setValue Value} | 
            
                                                                                                            
                            
            
                                    
            
            
                | 22 |  |  |  * set as a string, a float value, or an array.  A string in the format | 
            
                                                                                                            
                            
            
                                    
            
            
                | 23 |  |  |  * `$numerator . '/' . $denominator`, eg. "21/13", will set the both the numerator | 
            
                                                                                                            
                            
            
                                    
            
            
                | 24 |  |  |  * and denominator.  A string that is simply a numeric will be interpreted as a | 
            
                                                                                                            
                            
            
                                    
            
            
                | 25 |  |  |  * float value.  An array in the format of `[$numerator, $denominator]` can be used | 
            
                                                                                                            
                            
            
                                    
            
            
                | 26 |  |  |  * to set the numerator and denominator as well. | 
            
                                                                                                            
                            
            
                                    
            
            
                | 27 |  |  |  * | 
            
                                                                                                            
                            
            
                                    
            
            
                | 28 |  |  |  * Setting Float values are processed through a Continued Fraction function to a | 
            
                                                                                                            
                            
            
                                    
            
            
                | 29 |  |  |  * specified tolerance to calculate the integer numerator and integer denominator. | 
            
                                                                                                            
                            
            
                                    
            
            
                | 30 |  |  |  * INF is "-1/0" and NAN (Not A Number) has the denominator equal zero (to avoid a | 
            
                                                                                                            
                            
            
                                    
            
            
                | 31 |  |  |  * divide by zero error). | 
            
                                                                                                            
                            
            
                                    
            
            
                | 32 |  |  |  * | 
            
                                                                                                            
                            
            
                                    
            
            
                | 33 |  |  |  * The numerator and denominator can be accessed by {@link getNumerator} and {@link | 
            
                                                                                                            
                            
            
                                    
            
            
                | 34 |  |  |  * getDenominator}, respectively.  These values can be accessed by array as well, | 
            
                                                                                                            
                            
            
                                    
            
            
                | 35 |  |  |  * where the numerator is mapped to `[0]` and `['numerator']` and the denominator is | 
            
                                                                                                            
                            
            
                                    
            
            
                | 36 |  |  |  * mapped to `[1]` and `['denominator']`.  By setting `[]` the value can be set | 
            
                                                                                                            
                            
            
                                    
            
            
                | 37 |  |  |  * and numerator and denominator computed.  By getting `[null]` the value may be | 
            
                                                                                                            
                            
            
                                    
            
            
                | 38 |  |  |  * retrieved.  Setting the value with a specific tolerance requires {@link setValue}. | 
            
                                                                                                            
                            
            
                                    
            
            
                | 39 |  |  |  * | 
            
                                                                                                            
                            
            
                                    
            
            
                | 40 |  |  |  * TRational implements {@link __toString} and outputs a string of `$numerator . '/' | 
            
                                                                                                            
                            
            
                                    
            
            
                | 41 |  |  |  * . $denominator`, the string format for rationals.  eg.  "13/8". | 
            
                                                                                                            
                            
            
                                    
            
            
                | 42 |  |  |  * <code> | 
            
                                                                                                            
                            
            
                                    
            
            
                | 43 |  |  |  *		$rational = new TRational(1.618033988749895); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 44 |  |  |  *		$value = $rational->getValue(); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 45 |  |  |  *		$value = $rational[null]; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 46 |  |  |  *		$numerator = $rational->getNumerator(); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 47 |  |  |  *		$numerator = $rational[0]; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 48 |  |  |  *		$denominator = $rational->getDenominator(); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 49 |  |  |  *		$denominator = $rational[1]; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 50 |  |  |  *		$rational[] = 1.5; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 51 |  |  |  *		$rational[0] === 3; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 52 |  |  |  *		$rational[1] === 2; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 53 |  |  |  *		$rational[null] = '21/13'; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 54 |  |  |  *		$rational[0] === 21; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 55 |  |  |  *		$rational[1] === 13; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 56 |  |  |  * </code> | 
            
                                                                                                            
                            
            
                                    
            
            
                | 57 |  |  |  * | 
            
                                                                                                            
                            
            
                                    
            
            
                | 58 |  |  |  * The Rational data format is used by EXIF and, in particular, the GPS Image File | 
            
                                                                                                            
                            
            
                                    
            
            
                | 59 |  |  |  * Directory of EXIF. | 
            
                                                                                                            
                            
            
                                    
            
            
                | 60 |  |  |  * | 
            
                                                                                                            
                            
            
                                    
            
            
                | 61 |  |  |  * @author Brad Anderson <[email protected]> | 
            
                                                                                                            
                            
            
                                    
            
            
                | 62 |  |  |  * @since 4.2.3 | 
            
                                                                                                            
                            
            
                                    
            
            
                | 63 |  |  |  * @see https://en.wikipedia.org/wiki/Continued_fraction | 
            
                                                                                                            
                            
            
                                    
            
            
                | 64 |  |  |  */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 65 |  |  | class TRational implements \ArrayAccess | 
            
                                                                                                            
                            
            
                                    
            
            
                | 66 |  |  | { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 67 |  |  | 	public const NUMERATOR = 'numerator'; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 68 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 69 |  |  | 	public const DENOMINATOR = 'denominator'; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 70 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 71 |  |  | 	/* The Default Tolerance when null is provided for a tolerance */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 72 |  |  | 	public const DEFAULT_TOLERANCE = 1.0e-6; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 73 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 74 |  |  | 	/** @var float|int The numerator of the rational number. default 0. */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 75 |  |  | 	protected $_numerator = 0; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 76 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 77 |  |  | 	/** @var float|int The denominator of the rational number. default 1. */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 78 |  |  | 	protected $_denominator = 1; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 79 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 80 |  |  | 	/** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 81 |  |  | 	 * @return bool Is the class unsigned. Returns false. | 
            
                                                                                                            
                            
            
                                    
            
            
                | 82 |  |  | 	 */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 83 |  |  | 	public static function getIsUnsigned(): bool | 
            
                                                                                                            
                            
            
                                    
            
            
                | 84 |  |  | 	{ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 85 |  |  | 		return false; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 86 |  |  | 	} | 
            
                                                                                                            
                            
            
                                    
            
            
                | 87 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 88 |  |  | 	/** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 89 |  |  | 	 * This initializes a TRational with no value [null], a float that gets deconstructed | 
            
                                                                                                            
                            
            
                                    
            
            
                | 90 |  |  | 	 * into a numerator and denominator, a string with the numerator and denominator | 
            
                                                                                                            
                            
            
                                    
            
            
                | 91 |  |  | 	 * with a '/' between them, an array with [0 => $numerator, 1 => $denominator], | 
            
                                                                                                            
                            
            
                                    
            
            
                | 92 |  |  | 	 * or both the numerator and denominator as two parameters. | 
            
                                                                                                            
                            
            
                                    
            
            
                | 93 |  |  | 	 * @param null|array|false|float|int|string $numerator Null or false as nothing, | 
            
                                                                                                            
                            
            
                                    
            
            
                | 94 |  |  | 	 *   int and float as values, array of numerator and denominator. | 
            
                                                                                                            
                            
            
                                    
            
            
                | 95 |  |  | 	 * @param null|false|numeric $denominator The denominator. Default null for the | 
                            
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                | 96 |  |  | 	 *   $numerator is a value to be deconstructed. | 
            
                                                                                                            
                            
            
                                    
            
            
                | 97 |  |  | 	 */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 98 |  |  | 	public function __construct($numerator = null, $denominator = null) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 99 |  |  | 	{ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 100 |  |  | 		if ($numerator !== null && $numerator !== false) { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 101 |  |  | 			if ($denominator === null || $denominator === false) { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 102 |  |  | 				$this->setValue($numerator); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 103 |  |  | 			} else { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 104 |  |  | 				$this->setValue([$numerator, $denominator]); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 105 |  |  | 			} | 
            
                                                                                                            
                            
            
                                    
            
            
                | 106 |  |  | 		} | 
            
                                                                                                            
                            
            
                                    
            
            
                | 107 |  |  | 	} | 
            
                                                                                                            
                            
            
                                    
            
            
                | 108 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 109 |  |  | 	/** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 110 |  |  | 	 * @return float|int The numerator. | 
            
                                                                                                            
                            
            
                                    
            
            
                | 111 |  |  | 	 */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 112 |  |  | 	public function getNumerator() | 
            
                                                                                                            
                            
            
                                    
            
            
                | 113 |  |  | 	{ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 114 |  |  | 		return $this->_numerator; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 115 |  |  | 	} | 
            
                                                                                                            
                            
            
                                    
            
            
                | 116 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 117 |  |  | 	/** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 118 |  |  | 	 * @param float|int|string $value The numerator. | 
            
                                                                                                            
                            
            
                                    
            
            
                | 119 |  |  | 	 * @return TRational Returns $this. | 
            
                                                                                                            
                            
            
                                    
            
            
                | 120 |  |  | 	 */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 121 |  |  | 	public function setNumerator($value): TRational | 
            
                                                                                                            
                            
            
                                    
            
            
                | 122 |  |  | 	{ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 123 |  |  | 		$this->_numerator = (int) min(max(TBitHelper::PHP_INT32_MIN, $value), TBitHelper::PHP_INT32_MAX); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 124 |  |  | 		return $this; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 125 |  |  | 	} | 
            
                                                                                                            
                            
            
                                    
            
            
                | 126 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 127 |  |  | 	/** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 128 |  |  | 	 * Unless specifically set, the denominator usually only has a positive value. | 
            
                                                                                                            
                            
            
                                    
            
            
                | 129 |  |  | 	 * @return float|int The denominator. | 
            
                                                                                                            
                            
            
                                    
            
            
                | 130 |  |  | 	 */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 131 |  |  | 	public function getDenominator() | 
            
                                                                                                            
                            
            
                                    
            
            
                | 132 |  |  | 	{ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 133 |  |  | 		return $this->_denominator; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 134 |  |  | 	} | 
            
                                                                                                            
                            
            
                                    
            
            
                | 135 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 136 |  |  | 	/** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 137 |  |  | 	 * @param float|int|string $value The denominator. | 
            
                                                                                                            
                            
            
                                    
            
            
                | 138 |  |  | 	 * @return TRational Returns $this. | 
            
                                                                                                            
                            
            
                                    
            
            
                | 139 |  |  | 	 */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 140 |  |  | 	public function setDenominator($value): TRational | 
            
                                                                                                            
                            
            
                                    
            
            
                | 141 |  |  | 	{ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 142 |  |  | 		$this->_denominator = (int) min(max(TBitHelper::PHP_INT32_MIN, $value), TBitHelper::PHP_INT32_MAX); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 143 |  |  | 		return $this; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 144 |  |  | 	} | 
            
                                                                                                            
                            
            
                                    
            
            
                | 145 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 146 |  |  | 	/** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 147 |  |  | 	 * This returns the float value of the Numerator divided by the denominator. | 
            
                                                                                                            
                            
            
                                    
            
            
                | 148 |  |  | 	 * Returns INF (Infinity) float value if the {@link getNumerator Numerator} is | 
            
                                                                                                            
                            
            
                                    
            
            
                | 149 |  |  | 	 * 0xFFFFFFFF (-1) and {@link getDenominator Denominator} is 0.   Returns NAN | 
            
                                                                                                            
                            
            
                                    
            
            
                | 150 |  |  | 	 * (Not A Number) float value if the {@link getDenominator Denominator} is zero. | 
            
                                                                                                            
                            
            
                                    
            
            
                | 151 |  |  | 	 * @return float The float value of the Numerator divided by denominator. | 
            
                                                                                                            
                            
            
                                    
            
            
                | 152 |  |  | 	 */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 153 |  |  | 	public function getValue(): float | 
            
                                                                                                            
                            
            
                                    
            
            
                | 154 |  |  | 	{ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 155 |  |  | 		if ($this->_numerator === -1 && $this->_denominator === 0) { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 156 |  |  | 			return INF; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 157 |  |  | 		} | 
            
                                                                                                            
                            
            
                                    
            
            
                | 158 |  |  | 		if ($this->_denominator === 0) { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 159 |  |  | 			return NAN; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 160 |  |  | 		} | 
            
                                                                                                            
                            
            
                                    
            
            
                | 161 |  |  | 		return ((float) $this->_numerator) / ((float) $this->_denominator); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 162 |  |  | 	} | 
            
                                                                                                            
                            
            
                                    
            
            
                | 163 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 164 |  |  | 	/** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 165 |  |  | 	 * When setting a float value, this computes the numerator and denominator from | 
            
                                                                                                            
                            
            
                                    
            
            
                | 166 |  |  | 	 * the Continued Fraction mathematical computation to a specific $tolerance. | 
            
                                                                                                            
                            
            
                                    
            
            
                | 167 |  |  | 	 * @param array|numeric|string $value The numeric to compute the int numerator and | 
            
                                                                                                            
                            
            
                                    
            
            
                | 168 |  |  | 	 *   denominator, or a string in the format numerator - '/' character - and then | 
            
                                                                                                            
                            
            
                                    
            
            
                | 169 |  |  | 	 *   the denominator; eg. '511/333'. or an array of [numerator, denominator]. | 
            
                                                                                                            
                            
            
                                    
            
            
                | 170 |  |  | 	 * @param ?float $tolerance the tolerance to compute the numerator and denominator | 
            
                                                                                                            
                            
            
                                    
            
            
                | 171 |  |  | 	 *   from the numeric $value.  Default null for "1.0e-6". | 
            
                                                                                                            
                            
            
                                    
            
            
                | 172 |  |  | 	 * @return TRational Returns $this. | 
            
                                                                                                            
                            
            
                                    
            
            
                | 173 |  |  | 	 */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 174 |  |  | 	public function setValue($value, ?float $tolerance = null): TRational | 
            
                                                                                                            
                            
            
                                    
            
            
                | 175 |  |  | 	{ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 176 |  |  | 		$numerator = $denominator = null; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 177 |  |  | 		if (is_array($value)) { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 178 |  |  | 			if (array_key_exists(0, $value)) { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 179 |  |  | 				$numerator = $value[0]; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 180 |  |  | 			} elseif (array_key_exists(self::NUMERATOR, $value)) { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 181 |  |  | 				$numerator = $value[self::NUMERATOR]; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 182 |  |  | 			} else { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 183 |  |  | 				$numerator = 0; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 184 |  |  | 			} | 
            
                                                                                                            
                            
            
                                    
            
            
                | 185 |  |  | 			if (array_key_exists(1, $value)) { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 186 |  |  | 				$denominator = $value[1]; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 187 |  |  | 			} elseif (array_key_exists(self::DENOMINATOR, $value)) { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 188 |  |  | 				$denominator = $value[self::DENOMINATOR]; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 189 |  |  | 			} else { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 190 |  |  | 				$denominator = null; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 191 |  |  | 			} | 
            
                                                                                                            
                            
            
                                    
            
            
                | 192 |  |  | 			if ($denominator === null) { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 193 |  |  | 				$value = $numerator; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 194 |  |  | 				$numerator = null; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 195 |  |  | 			} | 
            
                                                                                                            
                            
            
                                    
            
            
                | 196 |  |  | 		} elseif (is_string($value) && strpos($value, '/') !== false) { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 197 |  |  | 			[$numerator, $denominator] = explode('/', $value, 2); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 198 |  |  | 		} | 
            
                                                                                                            
                            
            
                                    
            
            
                | 199 |  |  | 		$unsigned = $this->getIsUnsigned(); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 200 |  |  | 		if ($numerator !== null) { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 201 |  |  | 			$numerator = (float) $numerator; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 202 |  |  | 			$denominator = (float) $denominator; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 203 |  |  | 			if ($unsigned) { | 
                            
                    |  |  |  | 
                                                                                        
                                                                                     | 
            
                                                                                                            
                            
            
                                    
            
            
                | 204 |  |  | 				$negNum = $numerator < 0; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 205 |  |  | 				$negDen = $denominator < 0; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 206 |  |  | 				if ($negNum && $negDen) { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 207 |  |  | 					$numerator = -$numerator; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 208 |  |  | 					$denominator = -$denominator; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 209 |  |  | 				} elseif ($negNum ^ $negDen) { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 210 |  |  | 					$numerator = 0; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 211 |  |  | 					$denominator = 1; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 212 |  |  | 				} | 
            
                                                                                                            
                            
            
                                    
            
            
                | 213 |  |  | 			} | 
            
                                                                                                            
                            
            
                                    
            
            
                | 214 |  |  | 			$max = $unsigned ? TBitHelper::PHP_INT32_UMAX : TBitHelper::PHP_INT32_MAX; | 
                            
                    |  |  |  | 
                                                                                        
                                                                                     | 
            
                                                                                                            
                            
            
                                    
            
            
                | 215 |  |  | 			if ($numerator > $max || $denominator > $max || (!$unsigned && ($numerator < TBitHelper::PHP_INT32_MIN || $denominator < TBitHelper::PHP_INT32_MIN))) { | 
                            
                    |  |  |  | 
                                                                                        
                                                                                     | 
            
                                                                                                            
                            
            
                                    
            
            
                | 216 |  |  | 				$value = ($denominator === 0) ? NAN : $numerator / $denominator; | 
                            
                    |  |  |  | 
                                                                                        
                                                                                     | 
            
                                                                                                            
                            
            
                                    
            
            
                | 217 |  |  | 			} else { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 218 |  |  | 				$this->setNumerator($numerator); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 219 |  |  | 				$this->setDenominator($denominator); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 220 |  |  | 				return $this; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 221 |  |  | 			} | 
            
                                                                                                            
                            
            
                                    
            
            
                | 222 |  |  | 		} | 
            
                                                                                                            
                            
            
                                    
            
            
                | 223 |  |  | 		if ($value !== null) { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 224 |  |  | 			[$this->_numerator, $this->_denominator] = self::float2rational((float) $value, $tolerance, $unsigned); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 225 |  |  | 		} | 
            
                                                                                                            
                            
            
                                    
            
            
                | 226 |  |  | 		return $this; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 227 |  |  | 	} | 
            
                                                                                                            
                            
            
                                    
            
            
                | 228 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 229 |  |  | 	/** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 230 |  |  | 	 * @return string Returns a string of the Numerator - '/' character - and then the | 
            
                                                                                                            
                            
            
                                    
            
            
                | 231 |  |  | 	 *   denominator.  eg. "13/8" | 
            
                                                                                                            
                            
            
                                    
            
            
                | 232 |  |  | 	 */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 233 |  |  | 	public function __toString(): string | 
            
                                                                                                            
                            
            
                                    
            
            
                | 234 |  |  | 	{ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 235 |  |  | 		$n = $this->_numerator; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 236 |  |  | 		if (is_float($n)) { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 237 |  |  | 			$n = number_format($n, 0, '.', ''); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 238 |  |  | 		} | 
            
                                                                                                            
                            
            
                                    
            
            
                | 239 |  |  | 		$d = $this->_denominator; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 240 |  |  | 		if (is_float($d)) { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 241 |  |  | 			$d = number_format($d, 0, '.', ''); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 242 |  |  | 		} | 
            
                                                                                                            
                            
            
                                    
            
            
                | 243 |  |  | 		return $n . '/' . $d; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 244 |  |  | 	} | 
            
                                                                                                            
                            
            
                                    
            
            
                | 245 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 246 |  |  | 	/** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 247 |  |  | 	 * @return array returns an array of [$numerator, $denominator] | 
            
                                                                                                            
                            
            
                                    
            
            
                | 248 |  |  | 	 */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 249 |  |  | 	public function toArray() | 
            
                                                                                                            
                            
            
                                    
            
            
                | 250 |  |  | 	{ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 251 |  |  | 		return [$this->_numerator, $this->_denominator]; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 252 |  |  | 	} | 
            
                                                                                                            
                            
            
                                    
            
            
                | 253 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 254 |  |  | 	/** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 255 |  |  | 	 * Checks for the existence of the values TRational uses: 0, 1, 'numerator', and | 
            
                                                                                                            
                            
            
                                    
            
            
                | 256 |  |  | 	 * 'denominator'. | 
            
                                                                                                            
                            
            
                                    
            
            
                | 257 |  |  | 	 * @param mixed $offset The numerator or denominator of the TRational. | 
            
                                                                                                            
                            
            
                                    
            
            
                | 258 |  |  | 	 * @return bool Does the property exist for the TRational. | 
            
                                                                                                            
                            
            
                                    
            
            
                | 259 |  |  | 	 */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 260 |  |  | 	public function offsetExists(mixed $offset): bool | 
            
                                                                                                            
                            
            
                                    
            
            
                | 261 |  |  | 	{ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 262 |  |  | 		if (is_numeric($offset) && ($offset == 0 || $offset == 1) || is_string($offset) && ($offset === self::NUMERATOR || $offset === self::DENOMINATOR)) { | 
                            
                    |  |  |  | 
                                                                                        
                                                                                     | 
            
                                                                                                            
                            
            
                                    
            
            
                | 263 |  |  | 			return true; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 264 |  |  | 		} | 
            
                                                                                                            
                            
            
                                    
            
            
                | 265 |  |  | 		return false; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 266 |  |  | 	} | 
            
                                                                                                            
                            
            
                                    
            
            
                | 267 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 268 |  |  | 	/** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 269 |  |  | 	 * This is a convenience method for getting the numerator and denominator. | 
            
                                                                                                            
                            
            
                                    
            
            
                | 270 |  |  | 	 * Index '0' and 'numerator' will get the {@link getNumerator Numerator}, and | 
            
                                                                                                            
                            
            
                                    
            
            
                | 271 |  |  | 	 * Index '1' and 'denominator' will get the {@link getDenominator Denominator}. | 
            
                                                                                                            
                            
            
                                    
            
            
                | 272 |  |  | 	 * @param mixed $offset Which property of the Rational to retrieve. | 
            
                                                                                                            
                            
            
                                    
            
            
                | 273 |  |  | 	 * @throws TInvalidDataValueException When $offset is not a property of the Rational. | 
            
                                                                                                            
                            
            
                                    
            
            
                | 274 |  |  | 	 * @return mixed The numerator or denominator. | 
            
                                                                                                            
                            
            
                                    
            
            
                | 275 |  |  | 	 */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 276 |  |  | 	public function offsetGet(mixed $offset): mixed | 
            
                                                                                                            
                            
            
                                    
            
            
                | 277 |  |  | 	{ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 278 |  |  | 		if (is_numeric($offset)) { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 279 |  |  | 			if ($offset == 0) { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 280 |  |  | 				return $this->getNumerator(); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 281 |  |  | 			} elseif ($offset == 1) { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 282 |  |  | 				return $this->getDenominator(); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 283 |  |  | 			} | 
            
                                                                                                            
                            
            
                                    
            
            
                | 284 |  |  | 		} elseif (is_string($offset)) { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 285 |  |  | 			if ($offset == self::NUMERATOR) { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 286 |  |  | 				return $this->getNumerator(); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 287 |  |  | 			} elseif ($offset == self::DENOMINATOR) { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 288 |  |  | 				return $this->getDenominator(); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 289 |  |  | 			} | 
            
                                                                                                            
                            
            
                                    
            
            
                | 290 |  |  | 		} elseif ($offset === null) { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 291 |  |  | 			return $this->getValue(); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 292 |  |  | 		} | 
            
                                                                                                            
                            
            
                                    
            
            
                | 293 |  |  | 		throw new TInvalidDataValueException('rational_bad_offset', $offset); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 294 |  |  | 	} | 
            
                                                                                                            
                            
            
                                    
            
            
                | 295 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 296 |  |  | 	/** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 297 |  |  | 	 * This is a convenience method for setting the numerator and denominator. | 
            
                                                                                                            
                            
            
                                    
            
            
                | 298 |  |  | 	 * Index '0' and 'numerator' will set the {@link setNumerator Numerator}, and | 
            
                                                                                                            
                            
            
                                    
            
            
                | 299 |  |  | 	 * Index '1' and 'denominator' will set the {@link setDenominator Denominator}. | 
            
                                                                                                            
                            
            
                                    
            
            
                | 300 |  |  | 	 * @param mixed $offset Which property to set. | 
            
                                                                                                            
                            
            
                                    
            
            
                | 301 |  |  | 	 * @param mixed $value The numerator or denominator. | 
            
                                                                                                            
                            
            
                                    
            
            
                | 302 |  |  | 	 * @throws TInvalidDataValueException When $offset is not a property of the Rational. | 
            
                                                                                                            
                            
            
                                    
            
            
                | 303 |  |  | 	 */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 304 |  |  | 	public function offsetSet(mixed $offset, mixed $value): void | 
            
                                                                                                            
                            
            
                                    
            
            
                | 305 |  |  | 	{ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 306 |  |  | 		if (is_numeric($offset)) { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 307 |  |  | 			if ($offset == 0) { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 308 |  |  | 				$this->setNumerator($value); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 309 |  |  | 				return; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 310 |  |  | 			} elseif ($offset == 1) { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 311 |  |  | 				$this->setDenominator($value); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 312 |  |  | 				return; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 313 |  |  | 			} | 
            
                                                                                                            
                            
            
                                    
            
            
                | 314 |  |  | 		} elseif (is_string($offset)) { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 315 |  |  | 			if ($offset == self::NUMERATOR) { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 316 |  |  | 				$this->setNumerator($value); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 317 |  |  | 				return; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 318 |  |  | 			} elseif ($offset == self::DENOMINATOR) { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 319 |  |  | 				$this->setDenominator($value); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 320 |  |  | 				return; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 321 |  |  | 			} | 
            
                                                                                                            
                            
            
                                    
            
            
                | 322 |  |  | 		} elseif ($offset === null) { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 323 |  |  | 			$this->setValue($value); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 324 |  |  | 			return; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 325 |  |  | 		} | 
            
                                                                                                            
                            
            
                                    
            
            
                | 326 |  |  | 		throw new TInvalidDataValueException('rational_bad_offset', $offset); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 327 |  |  | 	} | 
            
                                                                                                            
                            
            
                                    
            
            
                | 328 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 329 |  |  | 	/** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 330 |  |  | 	 * This is a convenience method for resetting the numerator and denominator to | 
            
                                                                                                            
                            
            
                                    
            
            
                | 331 |  |  | 	 * default.  Index '0' and 'numerator' will reset the {@link setNumerator Numerator} | 
            
                                                                                                            
                            
            
                                    
            
            
                | 332 |  |  | 	 * to "0", and Index '1' and 'denominator' will reset the {@link setDenominator | 
            
                                                                                                            
                            
            
                                    
            
            
                | 333 |  |  | 	 * Denominator} to "1". | 
            
                                                                                                            
                            
            
                                    
            
            
                | 334 |  |  | 	 * @param mixed $offset Which property to reset. | 
            
                                                                                                            
                            
            
                                    
            
            
                | 335 |  |  | 	 * @throws TInvalidDataValueException When $offset is not a property of the Rational. | 
            
                                                                                                            
                                                                
            
                                    
            
            
                | 336 |  |  | 	 */ | 
            
                                                                        
                            
            
                                    
            
            
                | 337 |  |  | 	public function offsetUnset(mixed $offset): void | 
            
                                                                        
                            
            
                                    
            
            
                | 338 |  |  | 	{ | 
            
                                                                        
                            
            
                                    
            
            
                | 339 |  |  | 		if (is_numeric($offset)) { | 
            
                                                                        
                            
            
                                    
            
            
                | 340 |  |  | 			if ($offset == 0) { | 
            
                                                                        
                            
            
                                    
            
            
                | 341 |  |  | 				$this->setNumerator(0); | 
            
                                                                        
                            
            
                                    
            
            
                | 342 |  |  | 				return; | 
            
                                                                        
                            
            
                                    
            
            
                | 343 |  |  | 			} elseif ($offset == 1) { | 
            
                                                                        
                            
            
                                    
            
            
                | 344 |  |  | 				$this->setDenominator(1); | 
            
                                                                        
                            
            
                                    
            
            
                | 345 |  |  | 				return; | 
            
                                                                        
                            
            
                                    
            
            
                | 346 |  |  | 			} | 
            
                                                                        
                            
            
                                    
            
            
                | 347 |  |  | 		} elseif (is_string($offset)) { | 
            
                                                                        
                            
            
                                    
            
            
                | 348 |  |  | 			if ($offset == self::NUMERATOR) { | 
            
                                                                        
                            
            
                                    
            
            
                | 349 |  |  | 				$this->setNumerator(0); | 
            
                                                                        
                            
            
                                    
            
            
                | 350 |  |  | 				return; | 
            
                                                                        
                            
            
                                    
            
            
                | 351 |  |  | 			} elseif ($offset == self::DENOMINATOR) { | 
            
                                                                        
                            
            
                                    
            
            
                | 352 |  |  | 				$this->setDenominator(1); | 
            
                                                                        
                            
            
                                    
            
            
                | 353 |  |  | 				return; | 
            
                                                                        
                            
            
                                    
            
            
                | 354 |  |  | 			} | 
            
                                                                        
                            
            
                                    
            
            
                | 355 |  |  | 		} | 
            
                                                                        
                            
            
                                    
            
            
                | 356 |  |  | 		throw new TInvalidDataValueException('rational_bad_offset', $offset); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 357 |  |  | 	} | 
            
                                                                                                            
                            
            
                                    
            
            
                | 358 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 359 |  |  | 	/** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 360 |  |  | 	 * This uses the Continued Fraction to make a float into a fraction of two integers. | 
            
                                                                                                            
                            
            
                                    
            
            
                | 361 |  |  | 	 * 	- Given INF, this returns [0xFFFFFFFF, 0]. | 
            
                                                                                                            
                            
            
                                    
            
            
                | 362 |  |  | 	 *  - Given NAN, this returns [0, 0]. | 
            
                                                                                                            
                            
            
                                    
            
            
                | 363 |  |  | 	 *  - Given 0 or values proximal to 0, this returns [0, 1]. | 
            
                                                                                                            
                            
            
                                    
            
            
                | 364 |  |  | 	 * Only the numerator can go negative if the $value is negative. | 
            
                                                                                                            
                            
            
                                    
            
            
                | 365 |  |  | 	 * @param float $value The float value to deconstruct into a fraction of two integers. | 
            
                                                                                                            
                            
            
                                    
            
            
                | 366 |  |  | 	 * @param float $tolerance How precise does the continued fraction need to be to break.  Default 1.e-6 | 
            
                                                                                                            
                            
            
                                    
            
            
                | 367 |  |  | 	 * @param ?bool $unsigned Is the result an unsigned 32 bit int (vs signed 32 bit int), default false | 
            
                                                                                                            
                            
            
                                    
            
            
                | 368 |  |  | 	 * @return array An array of numerator at [0] and denominator at [1]. | 
            
                                                                                                            
                            
            
                                    
            
            
                | 369 |  |  | 	 * @see https://en.wikipedia.org/wiki/Continued_fraction | 
            
                                                                                                            
                            
            
                                    
            
            
                | 370 |  |  | 	 */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 371 |  |  | 	public static function float2rational(float $value, ?float $tolerance = null, ?bool $unsigned = false): array | 
            
                                                                                                            
                            
            
                                    
            
            
                | 372 |  |  | 	{ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 373 |  |  | 		if (is_infinite($value)) { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 374 |  |  | 			return [$unsigned ? TBitHelper::PHP_INT32_UMAX : -1, 0]; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 375 |  |  | 		} | 
            
                                                                                                            
                            
            
                                    
            
            
                | 376 |  |  | 		if (is_nan($value)) { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 377 |  |  | 			return [0, 0]; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 378 |  |  | 		} | 
            
                                                                                                            
                            
            
                                    
            
            
                | 379 |  |  | 		if ($value === 0.0 || ($unsigned && $value < 0.5 / TBitHelper::PHP_INT32_UMAX) || (!$unsigned && abs($value) < 0.5 / TBitHelper::PHP_INT32_MAX)) { | 
                            
                    |  |  |  | 
                                                                                        
                                                                                     | 
            
                                                                                                            
                            
            
                                    
            
            
                | 380 |  |  | 			return [0, 1]; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 381 |  |  | 		} | 
            
                                                                                                            
                            
            
                                    
            
            
                | 382 |  |  | 		if ($unsigned) { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 383 |  |  | 			if ($value > TBitHelper::PHP_INT32_UMAX) { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 384 |  |  | 				return [TBitHelper::PHP_INT32_UMAX, 1]; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 385 |  |  | 			} elseif ($value < 1.5 / TBitHelper::PHP_INT32_UMAX) { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 386 |  |  | 				return [1, TBitHelper::PHP_INT32_UMAX]; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 387 |  |  | 			} | 
            
                                                                                                            
                            
            
                                    
            
            
                | 388 |  |  | 		} else { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 389 |  |  | 			if ($value > TBitHelper::PHP_INT32_MAX) { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 390 |  |  | 				return [TBitHelper::PHP_INT32_MAX, 1]; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 391 |  |  | 			} elseif ($value < TBitHelper::PHP_INT32_MIN) { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 392 |  |  | 				return [TBitHelper::PHP_INT32_MIN, 1]; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 393 |  |  | 			} elseif (abs($value) < 1.5 / TBitHelper::PHP_INT32_MAX) { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 394 |  |  | 				return [1, TBitHelper::PHP_INT32_MAX]; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 395 |  |  | 			} | 
            
                                                                                                            
                            
            
                                    
            
            
                | 396 |  |  | 		} | 
            
                                                                                                            
                            
            
                                    
            
            
                | 397 |  |  | 		if ($tolerance === null) { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 398 |  |  | 			$tolerance = self::DEFAULT_TOLERANCE; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 399 |  |  | 		} | 
            
                                                                                                            
                            
            
                                    
            
            
                | 400 |  |  | 		$sign = $value < 0 ? -1 : 1; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 401 |  |  | 		$offset = $value < 0 ? 1.0 : 0.0; // Negative values go to +1 max over positive max. | 
            
                                                                                                            
                            
            
                                    
            
            
                | 402 |  |  | 		$value = abs($value); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 403 |  |  | 		$h = 1.0; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 404 |  |  | 		$lh = 0.0; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 405 |  |  | 		$k = 0.0; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 406 |  |  | 		$lk = 1.0; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 407 |  |  | 		$b = 1.0 / $value; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 408 |  |  | 		$tolerance *= $value; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 409 |  |  | 		do { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 410 |  |  | 			$b = 1.0 / $b; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 411 |  |  | 			$a = floor($b); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 412 |  |  | 			$tmp = $h; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 413 |  |  | 			$h = $a * $h + $lh; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 414 |  |  | 			$lh = $tmp; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 415 |  |  | 			$tmp = $k; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 416 |  |  | 			$k = $a * $k + $lk; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 417 |  |  | 			$lk = $tmp; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 418 |  |  | 			if ($h > ($unsigned ? TBitHelper::PHP_INT32_UMAX - 1 : (TBitHelper::PHP_INT32_MAX + $offset)) || $k > ($unsigned ? TBitHelper::PHP_INT32_UMAX : TBitHelper::PHP_INT32_MAX)) { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 419 |  |  | 				$h = $lh; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 420 |  |  | 				$k = $lk; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 421 |  |  | 				break; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 422 |  |  | 			} | 
            
                                                                                                            
                            
            
                                    
            
            
                | 423 |  |  | 			$b = $b - $a; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 424 |  |  | 		} while ($b !== 0.0 && abs($value - $h / $k) > $tolerance); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 425 |  |  | 		if (PHP_INT_SIZE > 4 || $h <= PHP_INT_MAX + $offset && $k <= PHP_INT_MAX) { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 426 |  |  | 			return [$sign * ((int) $h), ((int) $k)]; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 427 |  |  | 		} elseif ($h <= PHP_INT_MAX + $offset) { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 428 |  |  | 			return [$sign * ((int) $h), $k]; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 429 |  |  | 		} elseif ($k <= PHP_INT_MAX) { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 430 |  |  | 			return [$sign * $h, ((int) $k)]; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 431 |  |  | 		} else { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 432 |  |  | 			return [$sign * $h, $k]; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 433 |  |  | 		} | 
            
                                                                                                            
                            
            
                                    
            
            
                | 434 |  |  | 	} | 
            
                                                                                                            
                                                                
            
                                    
            
            
                | 435 |  |  | } | 
            
                                                        
            
                                    
            
            
                | 436 |  |  |  | 
            
                        
The issue could also be caused by a filter entry in the build configuration. If the path has been excluded in your configuration, e.g.
excluded_paths: ["lib/*"], you can move it to the dependency path list as follows:For further information see https://scrutinizer-ci.com/docs/tools/php/php-scrutinizer/#list-dependency-paths