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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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311
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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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320
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/** |
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321
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* Returns the order of magnitude of the uncertainty as the exponent of |
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322
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* last significant digit in the amount-string. The value returned by this |
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323
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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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328
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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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330
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* |
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331
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* Note that this calculation assumes a symmetric uncertainty interval, |
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332
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* and can be misleading. |
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333
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* |
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334
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* @since 0.1 |
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335
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* |
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336
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* @return int|null |
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337
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*/ |
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338
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|
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public function getOrderOfUncertainty() { |
|
339
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|
|
if ( !$this->hasBounds() ) { |
|
340
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return null; |
|
341
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|
|
} |
|
342
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|
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|
|
343
|
|
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// the desired precision is given by the distance between the amount and |
|
344
|
|
|
// whatever is closer, the upper or lower bound. |
|
345
|
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//TODO: use DecimalMath to avoid floating point errors! |
|
346
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$amount = $this->amount->getValueFloat(); |
|
347
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|
$upperBound = $this->upperBound->getValueFloat(); |
|
348
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|
|
$lowerBound = $this->lowerBound->getValueFloat(); |
|
349
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|
$precision = min( $amount - $lowerBound, $upperBound - $amount ); |
|
350
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|
|
351
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|
|
if ( $precision === 0.0 ) { |
|
352
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// If there is no uncertainty, the order of uncertainty is a bit more than what we have digits for. |
|
353
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return -strlen( $this->amount->getFractionalPart() ); |
|
354
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} |
|
355
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356
|
|
|
// e.g. +/- 200 -> 2; +/- 0.02 -> -2 |
|
357
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|
|
// note: we really want floor( log10( $precision ) ), but have to account for |
|
358
|
|
|
// small errors made in the floating point operations above. |
|
359
|
|
|
// @todo: use bcmath (via DecimalMath) to avoid this if possible |
|
360
|
|
|
$orderOfUncertainty = floor( log10( $precision + 0.0000000005 ) ); |
|
361
|
|
|
|
|
362
|
|
|
return (int)$orderOfUncertainty; |
|
363
|
|
|
} |
|
364
|
|
|
|
|
365
|
|
|
/** |
|
366
|
|
|
* Returns the number of significant figures in the amount-string, |
|
367
|
|
|
* counting the decimal point, but not counting the leading sign. |
|
368
|
|
|
* |
|
369
|
|
|
* Note that this calculation assumes a symmetric uncertainty interval, and can be misleading |
|
370
|
|
|
* |
|
371
|
|
|
* @since 0.1 |
|
372
|
|
|
* |
|
373
|
|
|
* @return int|null |
|
374
|
|
|
*/ |
|
375
|
|
|
public function getSignificantFigures() { |
|
376
|
|
|
$math = new DecimalMath(); |
|
377
|
|
|
|
|
378
|
|
|
// $orderOfUncertainty is +/- 200 -> 2; +/- 0.02 -> -2 |
|
379
|
|
|
$orderOfUncertainty = $this->getOrderOfUncertainty(); |
|
380
|
|
|
|
|
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: