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<?php |
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namespace DataValues; |
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use InvalidArgumentException; |
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/** |
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* Class representing a quantity with associated unit and uncertainty interval. |
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* The amount is stored as a @see DecimalValue object. |
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* |
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* For simple numeric amounts use @see NumberValue. |
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* |
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* @since 0.1 |
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* |
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* @license GPL-2.0+ |
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* @author Daniel Kinzler |
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* @author Thiemo Mättig |
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*/ |
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class QuantityValue extends DataValueObject { |
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/** |
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* The quantity's amount |
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* |
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* @var DecimalValue |
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*/ |
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private $amount; |
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/** |
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* The quantity's unit identifier (use "1" for unitless quantities). |
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* |
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* @var string |
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*/ |
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private $unit; |
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/** |
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* The quantity's upper bound |
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* |
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* @var DecimalValue|null |
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*/ |
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private $upperBound; |
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/** |
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* The quantity's lower bound |
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* |
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* @var DecimalValue|null |
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*/ |
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private $lowerBound; |
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/** |
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* Constructs a new QuantityValue object, representing the given value. |
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* |
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* @since 0.1 |
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* |
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* @param DecimalValue $amount |
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* @param string $unit A unit identifier. Must not be empty, use "1" for unit-less quantities. |
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* @param DecimalValue|null $upperBound The upper bound of the quantity, inclusive. |
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* @param DecimalValue|null $lowerBound The lower bound of the quantity, inclusive. |
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* |
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* @throws IllegalValueException |
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*/ |
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public function __construct( |
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DecimalValue $amount, |
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$unit, |
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DecimalValue $upperBound = null, |
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DecimalValue $lowerBound = null |
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) { |
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if ( is_null( $upperBound ) !== is_null( $lowerBound ) ) { |
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throw new IllegalValueException( '$upperBound and $lowerBound must both be defined or undefined' ); |
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} |
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if ( $lowerBound && $lowerBound->compare( $amount ) > 0 ) { |
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throw new IllegalValueException( '$lowerBound ' . $lowerBound->getValue() . ' must be <= $amount ' . $amount->getValue() ); |
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} |
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if ( $upperBound && $upperBound->compare( $amount ) < 0 ) { |
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throw new IllegalValueException( '$upperBound ' . $upperBound->getValue() . ' must be >= $amount ' . $amount->getValue() ); |
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} |
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if ( !is_string( $unit ) ) { |
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throw new IllegalValueException( '$unit needs to be a string, not ' . gettype( $unit ) ); |
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} |
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if ( $unit === '' ) { |
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throw new IllegalValueException( '$unit can not be an empty string (use "1" for unit-less quantities)' ); |
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} |
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$this->amount = $amount; |
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$this->unit = $unit; |
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$this->upperBound = $upperBound; |
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$this->lowerBound = $lowerBound; |
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} |
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/** |
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* Returns a QuantityValue representing the given amount. |
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* If no upper or lower bound is given, the amount is assumed to be absolutely exact, |
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* that is, the amount itself will be used as the upper and lower bound. |
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* |
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* This is a convenience wrapper around the constructor that accepts native values |
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* instead of DecimalValue objects. |
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* |
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* @note: if the amount or a bound is given as a string, the string must conform |
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* to the rules defined by @see DecimalValue. |
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* |
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* @since 0.1 |
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* |
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* @param string|int|float|DecimalValue $amount |
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* @param string $unit A unit identifier. Must not be empty, use "1" for unit-less quantities. |
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* @param string|int|float|DecimalValue|null $upperBound |
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* @param string|int|float|DecimalValue|null $lowerBound |
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* |
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* @return self |
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* @throws IllegalValueException |
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*/ |
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public static function newFromNumber( $amount, $unit = '1', $upperBound = null, $lowerBound = null ) { |
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$amount = self::asDecimalValue( 'amount', $amount ); |
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if ( $upperBound !== null ) { |
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$upperBound = self::asDecimalValue( 'upperBound', $upperBound ); |
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} |
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if ( $lowerBound !== null ) { |
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$lowerBound = self::asDecimalValue( 'lowerBound', $lowerBound ); |
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} |
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return new self( $amount, $unit, $upperBound, $lowerBound ); |
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} |
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/** |
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* @see newFromNumber |
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* |
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* @deprecated since 0.1, use newFromNumber instead |
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* |
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* @param string|int|float|DecimalValue $amount |
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* @param string $unit |
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* @param string|int|float|DecimalValue|null $upperBound |
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* @param string|int|float|DecimalValue|null $lowerBound |
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* |
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* @return self |
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*/ |
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public static function newFromDecimal( $amount, $unit = '1', $upperBound = null, $lowerBound = null ) { |
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return self::newFromNumber( $amount, $unit, $upperBound, $lowerBound ); |
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} |
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/** |
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* Converts $number to a DecimalValue if possible and necessary. |
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* |
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* @note: if the $number is given as a string, it must conform to the rules |
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* defined by @see DecimalValue. |
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* |
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* @param string $name The variable name to use in exception messages |
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* @param string|int|float|DecimalValue $number |
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* |
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* @throws IllegalValueException |
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* @throws InvalidArgumentException |
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* @return DecimalValue |
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*/ |
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private static function asDecimalValue( $name, $number ) { |
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if ( !is_string( $name ) ) { |
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throw new InvalidArgumentException( '$name must be a string' ); |
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} |
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if ( $number instanceof DecimalValue ) { |
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// nothing to do |
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} elseif ( is_int( $number ) || is_float( $number ) || is_string( $number ) ) { |
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$number = new DecimalValue( $number ); |
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} else { |
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throw new IllegalValueException( '$' . $name . ' must be a string, int, or float' ); |
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} |
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return $number; |
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} |
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/** |
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* @see Serializable::serialize |
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* |
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* @since 0.1 |
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* |
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* @return string |
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*/ |
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public function serialize() { |
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return serialize( array( |
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$this->amount, |
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$this->unit, |
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$this->upperBound, |
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$this->lowerBound, |
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) ); |
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} |
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/** |
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* @see Serializable::unserialize |
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* |
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* @since 0.1 |
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* |
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* @param string $data |
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*/ |
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public function unserialize( $data ) { |
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list( $amount, $unit, $upperBound, $lowerBound ) = unserialize( $data ); |
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$this->__construct( $amount, $unit, $upperBound, $lowerBound ); |
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} |
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/** |
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* @see DataValue::getType |
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* |
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* @since 0.1 |
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* |
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* @return string |
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*/ |
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public static function getType() { |
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return 'quantity'; |
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} |
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/** |
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* @see DataValue::getSortKey |
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* |
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* @since 0.1 |
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* |
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* @return float |
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*/ |
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public function getSortKey() { |
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return $this->amount->getValueFloat(); |
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} |
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/** |
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* Returns the quantity object. |
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* @see DataValue::getValue |
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* |
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* @since 0.1 |
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* |
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* @return self |
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*/ |
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public function getValue() { |
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return $this; |
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} |
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/** |
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* Returns the amount represented by this quantity. |
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* |
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* @since 0.1 |
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* |
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* @return DecimalValue |
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*/ |
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public function getAmount() { |
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return $this->amount; |
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} |
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/** |
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* @since 0.8 |
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* |
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* @return bool |
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*/ |
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public function hasBounds() { |
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return $this->upperBound !== null; |
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} |
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/** |
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* Returns this quantity's upper bound. |
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* |
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* @since 0.1 |
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* |
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* @return DecimalValue|null |
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*/ |
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public function getUpperBound() { |
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return $this->upperBound; |
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} |
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/** |
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* Returns this quantity's lower bound. |
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* |
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* @since 0.1 |
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* |
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* @return DecimalValue|null |
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*/ |
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public function getLowerBound() { |
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return $this->lowerBound; |
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} |
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/** |
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* Returns the size of the uncertainty interval. |
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* This can roughly be interpreted as "amount +/- uncertainty/2". |
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* |
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* The exact interpretation of the uncertainty interval is left to the concrete application or |
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* data point. For example, the uncertainty interval may be defined to be that part of a |
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* normal distribution that is required to cover the 95th percentile. |
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* |
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* @since 0.1 |
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* |
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* @return float|null |
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*/ |
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public function getUncertainty() { |
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return $this->hasBounds() |
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? $this->upperBound->getValueFloat() - $this->lowerBound->getValueFloat() |
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: null; |
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} |
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/** |
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* Returns a DecimalValue representing the symmetrical offset to be applied |
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* to the raw amount for a rough representation of the uncertainty interval, |
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* as in "amount +/- offset". |
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* |
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* The offset is calculated as max( amount - lowerBound, upperBound - amount ). |
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* |
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* @since 0.1 |
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* |
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* @return DecimalValue|null |
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*/ |
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public function getUncertaintyMargin() { |
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if ( !$this->hasBounds() ) { |
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return null; |
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} |
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$math = new DecimalMath(); |
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$lowerMargin = $math->sum( $this->amount, $this->lowerBound->computeComplement() ); |
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$upperMargin = $math->sum( $this->upperBound, $this->amount->computeComplement() ); |
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$margin = $math->max( $lowerMargin, $upperMargin ); |
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return $margin; |
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} |
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/** |
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* Returns the order of magnitude of the uncertainty as the exponent of |
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* last significant digit in the amount-string. The value returned by this |
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* is suitable for use with @see DecimalMath::roundToExponent(). |
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* |
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* @example: if two digits after the decimal point are significant, this |
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* returns -2. |
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* |
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* @example: if the last two digits before the decimal point are insignificant, |
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* this returns 2. |
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* |
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* Note that this calculation assumes a symmetric uncertainty interval, |
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* and can be misleading. |
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* |
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* @since 0.1 |
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* |
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* @return int|null |
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*/ |
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public function getOrderOfUncertainty() { |
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if ( !$this->hasBounds() ) { |
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return null; |
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} |
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// the desired precision is given by the distance between the amount and |
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// whatever is closer, the upper or lower bound. |
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//TODO: use DecimalMath to avoid floating point errors! |
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$amount = $this->amount->getValueFloat(); |
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$upperBound = $this->upperBound->getValueFloat(); |
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$lowerBound = $this->lowerBound->getValueFloat(); |
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$precision = min( $amount - $lowerBound, $upperBound - $amount ); |
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if ( $precision === 0.0 ) { |
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// If there is no uncertainty, the order of uncertainty is a bit more than what we have digits for. |
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return -strlen( $this->amount->getFractionalPart() ); |
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} |
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// e.g. +/- 200 -> 2; +/- 0.02 -> -2 |
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// note: we really want floor( log10( $precision ) ), but have to account for |
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// small errors made in the floating point operations above. |
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// @todo: use bcmath (via DecimalMath) to avoid this if possible |
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$orderOfUncertainty = floor( log10( $precision + 0.0000000005 ) ); |
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return (int)$orderOfUncertainty; |
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} |
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/** |
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* Returns the number of significant figures in the amount-string, |
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* counting the decimal point, but not counting the leading sign. |
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* |
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* Note that this calculation assumes a symmetric uncertainty interval, and can be misleading |
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* |
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* @since 0.1 |
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* |
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* @return int|null |
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*/ |
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public function getSignificantFigures() { |
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$math = new DecimalMath(); |
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// $orderOfUncertainty is +/- 200 -> 2; +/- 0.02 -> -2 |
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$orderOfUncertainty = $this->getOrderOfUncertainty(); |
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|
381
|
|
|
if ( $orderOfUncertainty === null ) { |
382
|
|
|
return null; |
383
|
|
|
} |
384
|
|
|
|
385
|
|
|
// the number of digits (without the sign) is the same as the position (with the sign). |
386
|
|
|
$significantDigits = $math->getPositionForExponent( $orderOfUncertainty, $this->amount ); |
387
|
|
|
|
388
|
|
|
return $significantDigits; |
389
|
|
|
} |
390
|
|
|
|
391
|
|
|
/** |
392
|
|
|
* Returns the unit held by this quantity. |
393
|
|
|
* Unit-less quantities should use "1" as their unit. |
394
|
|
|
* |
395
|
|
|
* @since 0.1 |
396
|
|
|
* |
397
|
|
|
* @return string |
398
|
|
|
*/ |
399
|
|
|
public function getUnit() { |
400
|
|
|
return $this->unit; |
401
|
|
|
} |
402
|
|
|
|
403
|
|
|
/** |
404
|
|
|
* Returns a transformed value derived from this QuantityValue by applying |
405
|
|
|
* the given transformation to the amount and the upper and lower bounds. |
406
|
|
|
* The resulting amount and bounds are rounded to the significant number of |
407
|
|
|
* digits. Note that for exact quantities (with at least one bound equal to |
408
|
|
|
* the amount), no rounding is applied (since they are considered to have |
409
|
|
|
* infinite precision). |
410
|
|
|
* |
411
|
|
|
* The transformation is provided as a callback, which must implement a |
412
|
|
|
* monotonously increasing, fully differentiable function mapping a DecimalValue |
413
|
|
|
* to a DecimalValue. Typically, it will be a linear transformation applying a |
414
|
|
|
* factor and an offset. |
415
|
|
|
* |
416
|
|
|
* @param string $newUnit The unit of the transformed quantity. |
417
|
|
|
* |
418
|
|
|
* @param callable $transformation A callback that implements the desired transformation. |
419
|
|
|
* The transformation will be called three times, once for the amount, once |
420
|
|
|
* for the lower bound, and once for the upper bound. It must return a DecimalValue. |
421
|
|
|
* The first parameter passed to $transformation is the DecimalValue to transform |
422
|
|
|
* In addition, any extra parameters passed to transform() will be passed through |
423
|
|
|
* to the transformation callback. |
424
|
|
|
* |
425
|
|
|
* @param mixed ... Any extra parameters will be passed to the $transformation function. |
426
|
|
|
* |
427
|
|
|
* @throws InvalidArgumentException |
428
|
|
|
* @return self |
429
|
|
|
*/ |
430
|
|
|
public function transform( $newUnit, $transformation ) { |
431
|
|
|
if ( !is_callable( $transformation ) ) { |
432
|
|
|
throw new InvalidArgumentException( '$transformation must be callable.' ); |
433
|
|
|
} |
434
|
|
|
|
435
|
|
|
if ( !is_string( $newUnit ) ) { |
436
|
|
|
throw new InvalidArgumentException( '$newUnit must be a string. Use "1" as the unit for unit-less quantities.' ); |
437
|
|
|
} |
438
|
|
|
|
439
|
|
|
if ( $newUnit === '' ) { |
440
|
|
|
throw new InvalidArgumentException( '$newUnit must not be empty. Use "1" as the unit for unit-less quantities.' ); |
441
|
|
|
} |
442
|
|
|
|
443
|
|
|
$oldUnit = $this->unit; |
444
|
|
|
|
445
|
|
|
if ( $newUnit === null ) { |
446
|
|
|
$newUnit = $oldUnit; |
447
|
|
|
} |
448
|
|
|
|
449
|
|
|
// Apply transformation by calling the $transform callback. |
450
|
|
|
// The first argument for the callback is the DataValue to transform. In addition, |
451
|
|
|
// any extra arguments given for transform() are passed through. |
452
|
|
|
$args = func_get_args(); |
453
|
|
|
array_shift( $args ); |
454
|
|
|
|
455
|
|
|
$args[0] = $this->amount; |
456
|
|
|
$amount = call_user_func_array( $transformation, $args ); |
457
|
|
|
|
458
|
|
|
$upperBound = null; |
459
|
|
|
$lowerBound = null; |
460
|
|
|
|
461
|
|
|
if ( $this->hasBounds() ) { |
462
|
|
|
$args[0] = $this->upperBound; |
463
|
|
|
$upperBound = call_user_func_array( $transformation, $args ); |
464
|
|
|
|
465
|
|
|
$args[0] = $this->lowerBound; |
466
|
|
|
$lowerBound = call_user_func_array( $transformation, $args ); |
467
|
|
|
} |
468
|
|
|
|
469
|
|
|
// use a preliminary QuantityValue to determine the significant number of digits |
470
|
|
|
$transformed = new self( $amount, $newUnit, $upperBound, $lowerBound ); |
471
|
|
|
$roundingExponent = $transformed->getOrderOfUncertainty(); |
472
|
|
|
|
473
|
|
|
// apply rounding to the significant digits |
474
|
|
|
$math = new DecimalMath(); |
475
|
|
|
|
476
|
|
|
$amount = $math->roundToExponent( $amount, $roundingExponent ); |
477
|
|
|
|
478
|
|
|
if ( $this->hasBounds() ) { |
479
|
|
|
$upperBound = $math->roundToExponent( $upperBound, $roundingExponent ); |
480
|
|
|
$lowerBound = $math->roundToExponent( $lowerBound, $roundingExponent ); |
481
|
|
|
} |
482
|
|
|
|
483
|
|
|
return new self( $amount, $newUnit, $upperBound, $lowerBound ); |
484
|
|
|
} |
485
|
|
|
|
486
|
|
|
public function __toString() { |
487
|
|
|
return $this->amount->getValue() |
488
|
|
|
. ( $this->hasBounds() |
489
|
|
|
? '[' . $this->lowerBound->getValue() . '..' . $this->upperBound->getValue() . ']' |
490
|
|
|
: '' ) |
491
|
|
|
. ( $this->unit === '1' ? '' : $this->unit ); |
492
|
|
|
} |
493
|
|
|
|
494
|
|
|
/** |
495
|
|
|
* @see DataValue::getArrayValue |
496
|
|
|
* |
497
|
|
|
* @since 0.1 |
498
|
|
|
* |
499
|
|
|
* @return string[] |
500
|
|
|
*/ |
501
|
|
|
public function getArrayValue() { |
502
|
|
|
$array = array( |
503
|
|
|
'amount' => $this->amount->getArrayValue(), |
504
|
|
|
'unit' => $this->unit, |
505
|
|
|
); |
506
|
|
|
|
507
|
|
|
if ( $this->hasBounds() ) { |
508
|
|
|
$array['upperBound'] = $this->upperBound->getArrayValue(); |
509
|
|
|
$array['lowerBound'] = $this->lowerBound->getArrayValue(); |
510
|
|
|
} |
511
|
|
|
|
512
|
|
|
return $array; |
513
|
|
|
} |
514
|
|
|
|
515
|
|
|
/** |
516
|
|
|
* Constructs a new instance of the DataValue from the provided data. |
517
|
|
|
* This can round-trip with @see getArrayValue |
518
|
|
|
* |
519
|
|
|
* @since 0.1 |
520
|
|
|
* |
521
|
|
|
* @param mixed $data |
522
|
|
|
* |
523
|
|
|
* @return self |
524
|
|
|
* @throws IllegalValueException |
525
|
|
|
*/ |
526
|
|
|
public static function newFromArray( $data ) { |
527
|
|
|
self::requireArrayFields( $data, array( 'amount', 'unit' ) ); |
528
|
|
|
|
529
|
|
|
return new static( |
530
|
|
|
DecimalValue::newFromArray( $data['amount'] ), |
531
|
|
|
$data['unit'], |
532
|
|
|
isset( $data['upperBound'] ) ? DecimalValue::newFromArray( $data['upperBound'] ) : null, |
533
|
|
|
isset( $data['lowerBound'] ) ? DecimalValue::newFromArray( $data['lowerBound'] ) : null |
534
|
|
|
); |
535
|
|
|
} |
536
|
|
|
|
537
|
|
|
/** |
538
|
|
|
* @see Comparable::equals |
539
|
|
|
* |
540
|
|
|
* @since 0.1 |
541
|
|
|
* |
542
|
|
|
* @param mixed $target |
543
|
|
|
* |
544
|
|
|
* @return bool |
545
|
|
|
*/ |
546
|
|
|
public function equals( $target ) { |
547
|
|
|
if ( $this === $target ) { |
548
|
|
|
return true; |
549
|
|
|
} |
550
|
|
|
|
551
|
|
|
return $target instanceof self |
552
|
|
|
&& $this->toArray() === $target->toArray(); |
553
|
|
|
} |
554
|
|
|
|
555
|
|
|
} |
556
|
|
|
|
It seems like the type of the argument is not accepted by the function/method which you are calling.
In some cases, in particular if PHP’s automatic type-juggling kicks in this might be fine. In other cases, however this might be a bug.
We suggest to add an explicit type cast like in the following example: