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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 for performing basic arithmetic and other transformations  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                 * on DecimalValues.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                 *  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                 * This uses the bcmath library if available. Otherwise, it falls back on  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                 * using floating point operations.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                 *  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                 * @note: this is not a genuine decimal arithmetics implementation,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                 * and should not be used for financial computations, physical simulations, etc.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                 *  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                 * @see DecimalValue  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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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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                 */  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                class DecimalMath { | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                	/**  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                	 * Whether to use the bcmath library.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                	 *  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                	 * @var bool  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                	 */  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                	private $useBC;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                	/**  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                	 * @param bool|null $useBC Whether to use the bcmath library. If null,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                	 *        bcmath will automatically be used if available.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                	 */  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                	public function __construct( $useBC = null ) { | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                		if ( $useBC === null ) { | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                			$useBC = function_exists( 'bcscale' );  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                		}  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                		$this->useBC = $useBC;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                             224                          | 
                
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                	}  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                	/**  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                	 * Whether this is using the bcmath library.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                	 *  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                	 * @return bool  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                	 */  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                	public function getUseBC() { | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                		return $this->useBC;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                	}  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                	/**  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                	 * @param DecimalValue $a  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                	 * @param DecimalValue $b  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                	 *  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                	 * @return DecimalValue  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                	 */  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                	public function product( DecimalValue $a, DecimalValue $b ) { | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                		if ( $this->useBC ) { | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                			return $this->productWithBC( $a, $b );  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                		}  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                		return $this->productWithoutBC( $a, $b );  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                	}  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                	/**  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                	 * @param DecimalValue $a  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                	 * @param DecimalValue $b  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                	 *  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                	 * @return DecimalValue  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                	 */  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                	private function productWithBC( DecimalValue $a, DecimalValue $b ) { | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                		$scale = strlen( $a->getFractionalPart() ) + strlen( $b->getFractionalPart() );  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                		$product = bcmul( $a->getValue(), $b->getValue(), $scale );  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                		$sign = $product[0] === '-' ? '' : '+';  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                		// (Potentially) round so that the result fits into a DecimalValue  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                		// Note: Product might still be to long if a*b >= 10^126  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                		$product = $this->roundDigits( $sign . $product, 126 );  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                		return new DecimalValue( $product );  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                	}  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                	/**  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                	 * @param DecimalValue $a  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                	 * @param DecimalValue $b  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                	 *  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                	 * @return DecimalValue  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                	 */  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                	private function productWithoutBC( DecimalValue $a, DecimalValue $b ) { | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                		$product = $a->getValueFloat() * $b->getValueFloat();  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                		// Append .0 for consistency, if the result is a whole number,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                		// but $a or $b were specified with decimal places.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                		if (  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                			$product === floor( $product ) &&  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                			$a->getFractionalPart() . $b->getFractionalPart() !== ''  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                		) { | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                			$product = strval( $product ) . '.0';  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                		}  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                		return new DecimalValue( $product );  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                	}  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                	/**  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                	 * @param DecimalValue $a  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                	 * @param DecimalValue $b  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                	 *  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                	 * @return DecimalValue  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                	 */  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                	public function sum( DecimalValue $a, DecimalValue $b ) { | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                		if ( $this->useBC ) { | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                			$scale = max( strlen( $a->getFractionalPart() ), strlen( $b->getFractionalPart() ) );  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                			$sum = bcadd( $a->getValue(), $b->getValue(), $scale );  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                		} else { | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                			$sum = $a->getValueFloat() + $b->getValueFloat();  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                		}  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                             9                          | 
                
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                		return new DecimalValue( $sum );  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                	}  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                	/**  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                	 * @param DecimalValue $a  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                	 * @param DecimalValue $b  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                	 *  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                	 * @return DecimalValue  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                	 */  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                             5                          | 
                
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                	public function min( DecimalValue $a, DecimalValue $b ) { | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                             5                          | 
                
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                		if ( $this->useBC ) { | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                             5                          | 
                
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                			$scale = max( strlen( $a->getFractionalPart() ), strlen( $b->getFractionalPart() ) );  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                             5                          | 
                
                 | 
                			$comp = bccomp( $a->getValue(), $b->getValue(), $scale );  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    134
                 | 
                                    
                             5                          | 
                
                 | 
                			$min = $comp > 0 ? $b : $a;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    135
                 | 
                                    
                                                     | 
                
                 | 
                		} else { | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    136
                 | 
                                    
                                                     | 
                
                 | 
                			$min = min( $a->getValueFloat(), $b->getValueFloat() );  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    137
                 | 
                                    
                                                     | 
                
                 | 
                			$min = new DecimalValue( $min );  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    138
                 | 
                                    
                                                     | 
                
                 | 
                		}  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    139
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    140
                 | 
                                    
                             5                          | 
                
                 | 
                		return $min;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    141
                 | 
                                    
                                                     | 
                
                 | 
                	}  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    142
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    143
                 | 
                                    
                                                     | 
                
                 | 
                	/**  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    144
                 | 
                                    
                                                     | 
                
                 | 
                	 * @param DecimalValue $a  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    145
                 | 
                                    
                                                     | 
                
                 | 
                	 * @param DecimalValue $b  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    146
                 | 
                                    
                                                     | 
                
                 | 
                	 *  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    147
                 | 
                                    
                                                     | 
                
                 | 
                	 * @return DecimalValue  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    148
                 | 
                                    
                                                     | 
                
                 | 
                	 */  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    149
                 | 
                                    
                             5                          | 
                
                 | 
                	public function max( DecimalValue $a, DecimalValue $b ) { | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    150
                 | 
                                    
                             5                          | 
                
                 | 
                		if ( $this->useBC ) { | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    151
                 | 
                                    
                             5                          | 
                
                 | 
                			$scale = max( strlen( $a->getFractionalPart() ), strlen( $b->getFractionalPart() ) );  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    152
                 | 
                                    
                             5                          | 
                
                 | 
                			$comp = bccomp( $a->getValue(), $b->getValue(), $scale );  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    153
                 | 
                                    
                             5                          | 
                
                 | 
                			$max = $comp > 0 ? $a : $b;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    154
                 | 
                                    
                                                     | 
                
                 | 
                		} else { | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    155
                 | 
                                    
                                                     | 
                
                 | 
                			$max = max( $a->getValueFloat(), $b->getValueFloat() );  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    156
                 | 
                                    
                                                     | 
                
                 | 
                			$max = new DecimalValue( $max );  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    157
                 | 
                                    
                                                     | 
                
                 | 
                		}  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    158
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    159
                 | 
                                    
                             5                          | 
                
                 | 
                		return $max;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    160
                 | 
                                    
                                                     | 
                
                 | 
                	}  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    161
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    162
                 | 
                                    
                                                     | 
                
                 | 
                	/**  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    163
                 | 
                                    
                                                     | 
                
                 | 
                	 * Returns the given value, with any insignificant digits removed or zeroed.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    164
                 | 
                                    
                                                     | 
                
                 | 
                	 *  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    165
                 | 
                                    
                                                     | 
                
                 | 
                	 * Rounding is applied  using the "round half away from zero" rule (that is, +0.5 is  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    166
                 | 
                                    
                                                     | 
                
                 | 
                	 * rounded to +1 and -0.5 is rounded to -1).  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    167
                 | 
                                    
                                                     | 
                
                 | 
                	 *  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    168
                 | 
                                    
                                                     | 
                
                 | 
                	 * @since 0.1  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    169
                 | 
                                    
                                                     | 
                
                 | 
                	 *  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    170
                 | 
                                    
                                                     | 
                
                 | 
                	 * @param DecimalValue $decimal  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    171
                 | 
                                    
                                                     | 
                
                 | 
                	 * @param int $significantDigits The number of digits to retain, counting the decimal point,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    172
                 | 
                                    
                                                     | 
                
                 | 
                	 *        but not counting the leading sign.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    173
                 | 
                                    
                                                     | 
                
                 | 
                	 *  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    174
                 | 
                                    
                                                     | 
                
                 | 
                	 * @throws InvalidArgumentException  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    175
                 | 
                                    
                                                     | 
                
                 | 
                	 * @return DecimalValue  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    176
                 | 
                                    
                                                     | 
                
                 | 
                	 */  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    177
                 | 
                                    
                             105                          | 
                
                 | 
                	public function roundToDigit( DecimalValue $decimal, $significantDigits ) { | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    178
                 | 
                                    
                             105                          | 
                
                 | 
                		$value = $decimal->getValue();  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    179
                 | 
                                    
                             105                          | 
                
                 | 
                		$rounded = $this->roundDigits( $value, $significantDigits );  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    180
                 | 
                                    
                             105                          | 
                
                 | 
                		return new DecimalValue( $rounded );  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    181
                 | 
                                    
                                                     | 
                
                 | 
                	}  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    182
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    183
                 | 
                                    
                                                     | 
                
                 | 
                	/**  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    184
                 | 
                                    
                                                     | 
                
                 | 
                	 * Returns the given value, with any insignificant digits removed or zeroed.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    185
                 | 
                                    
                                                     | 
                
                 | 
                	 *  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    186
                 | 
                                    
                                                     | 
                
                 | 
                	 * Rounding is applied  using the "round half away from zero" rule (that is, +0.5 is  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    187
                 | 
                                    
                                                     | 
                
                 | 
                	 * rounded to +1 and -0.5 is rounded to -1).  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    188
                 | 
                                    
                                                     | 
                
                 | 
                	 *  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    189
                 | 
                                    
                                                     | 
                
                 | 
                	 * @since 0.1  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    190
                 | 
                                    
                                                     | 
                
                 | 
                	 *  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    191
                 | 
                                    
                                                     | 
                
                 | 
                	 * @param DecimalValue $decimal  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    192
                 | 
                                    
                                                     | 
                
                 | 
                	 * @param int $significantExponent 	 The exponent of the last significant digit,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    193
                 | 
                                    
                                                     | 
                
                 | 
                	 *        e.g. -1 for "keep the first digit after the decimal point", or 2 for  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    194
                 | 
                                    
                                                     | 
                
                 | 
                	 *        "zero the last two digits before the decimal point".  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    195
                 | 
                                    
                                                     | 
                
                 | 
                	 *  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    196
                 | 
                                    
                                                     | 
                
                 | 
                	 * @throws InvalidArgumentException  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    197
                 | 
                                    
                                                     | 
                
                 | 
                	 * @return DecimalValue  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    198
                 | 
                                    
                                                     | 
                
                 | 
                	 */  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    199
                 | 
                                    
                             47                          | 
                
                 | 
                	public function roundToExponent( DecimalValue $decimal, $significantExponent ) { | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    200
                 | 
                                    
                                                     | 
                
                 | 
                		//NOTE: the number of digits to keep (without the leading sign)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    201
                 | 
                                    
                                                     | 
                
                 | 
                		//      is the same as the exponent's offset (with the leaqding sign).  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    202
                 | 
                                    
                             47                          | 
                
                 | 
                		$digits = $this->getPositionForExponent( $significantExponent, $decimal );  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    203
                 | 
                                    
                             47                          | 
                
                 | 
                		return $this->roundToDigit( $decimal, $digits );  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    204
                 | 
                                    
                                                     | 
                
                 | 
                	}  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    205
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    206
                 | 
                                    
                                                     | 
                
                 | 
                	/**  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    207
                 | 
                                    
                                                     | 
                
                 | 
                	 * Returns the (zero based) position for the given exponent in  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    208
                 | 
                                    
                                                     | 
                
                 | 
                	 * the given decimal string, counting the decimal point and the leading sign.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    209
                 | 
                                    
                                                     | 
                
                 | 
                	 *  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    210
                 | 
                                    
                                                     | 
                
                 | 
                	 * @example: the position of exponent 0 in "+10.03" is 2.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    211
                 | 
                                    
                                                     | 
                
                 | 
                	 * @example: the position of exponent 1 in "+210.03" is 2.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    212
                 | 
                                    
                                                     | 
                
                 | 
                	 * @example: the position of exponent -2 in "+1.037" is 4.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    213
                 | 
                                    
                                                     | 
                
                 | 
                	 *  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    214
                 | 
                                    
                                                     | 
                
                 | 
                	 * @param int $exponent  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    215
                 | 
                                    
                                                     | 
                
                 | 
                	 * @param DecimalValue $decimal  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    216
                 | 
                                    
                                                     | 
                
                 | 
                	 *  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    217
                 | 
                                    
                                                     | 
                
                 | 
                	 * @return int  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    218
                 | 
                                    
                                                     | 
                
                 | 
                	 */  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    219
                 | 
                                    
                             53                          | 
                
                 | 
                	public function getPositionForExponent( $exponent, DecimalValue $decimal ) { | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    220
                 | 
                                    
                             53                          | 
                
                 | 
                		$decimal = $decimal->getValue();  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    221
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    222
                 | 
                                    
                             53                          | 
                
                 | 
                		$pointPos = strpos( $decimal, '.' );  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    223
                 | 
                                    
                             53                          | 
                
                 | 
                		if ( $pointPos === false ) { | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    224
                 | 
                                    
                             16                          | 
                
                 | 
                			$pointPos = strlen( $decimal );  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    225
                 | 
                                    
                                                     | 
                
                 | 
                		}  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    226
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    227
                 | 
                                    
                                                     | 
                
                 | 
                		// account for leading sign  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    228
                 | 
                                    
                             53                          | 
                
                 | 
                		$pointPos--;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    229
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    230
                 | 
                                    
                             53                          | 
                
                 | 
                		if ( $exponent < 0 ) { | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    231
                 | 
                                    
                                                     | 
                
                 | 
                			// account for decimal point  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    232
                 | 
                                    
                             19                          | 
                
                 | 
                			$position = $pointPos + 1 - $exponent;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    233
                 | 
                                    
                                                     | 
                
                 | 
                		} else { | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    234
                 | 
                                    
                                                     | 
                
                 | 
                			// make sure we don't remove more digits than are there  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    235
                 | 
                                    
                             34                          | 
                
                 | 
                			$position = max( 0, $pointPos - $exponent );  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    236
                 | 
                                    
                                                     | 
                
                 | 
                		}  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    237
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    238
                 | 
                                    
                             53                          | 
                
                 | 
                		return $position;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    239
                 | 
                                    
                                                     | 
                
                 | 
                	}  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    240
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    241
                 | 
                                    
                                                     | 
                
                 | 
                	/**  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    242
                 | 
                                    
                                                     | 
                
                 | 
                	 * Returns the given value, with any insignificant digits removed or zeroed.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    243
                 | 
                                    
                                                     | 
                
                 | 
                	 *  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    244
                 | 
                                    
                                                     | 
                
                 | 
                	 * Rounding is applied using the "round half away from zero" rule (that is, +0.5 is  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    245
                 | 
                                    
                                                     | 
                
                 | 
                	 * rounded to +1 and -0.5 is rounded to -1).  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    246
                 | 
                                    
                                                     | 
                
                 | 
                	 *  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    247
                 | 
                                    
                                                     | 
                
                 | 
                	 * @see round()  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    248
                 | 
                                    
                                                     | 
                
                 | 
                	 *  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    249
                 | 
                                    
                                                     | 
                
                 | 
                	 * @param string $value  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    250
                 | 
                                    
                                                     | 
                
                 | 
                	 * @param int $significantDigits  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    251
                 | 
                                    
                                                     | 
                
                 | 
                	 *  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    252
                 | 
                                    
                                                     | 
                
                 | 
                	 * @throws InvalidArgumentException if $significantDigits is smaller than 0  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    253
                 | 
                                    
                                                     | 
                
                 | 
                	 * @return string  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    254
                 | 
                                    
                                                     | 
                
                 | 
                	 */  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    255
                 | 
                                    
                             121                          | 
                
                 | 
                	private function roundDigits( $value, $significantDigits ) { | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    256
                 | 
                                    
                             121                          | 
                
                 | 
                		if ( !is_int( $significantDigits ) || $significantDigits < 0 ) { | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    257
                 | 
                                    
                                                     | 
                
                 | 
                			throw new InvalidArgumentException( '$significantDigits must be a non-negative integer' );  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    258
                 | 
                                    
                                                     | 
                
                 | 
                		}  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    259
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    260
                 | 
                                    
                                                     | 
                
                 | 
                		// keeping no digits results in zero.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    261
                 | 
                                    
                             121                          | 
                
                 | 
                		if ( $significantDigits === 0 ) { | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    262
                 | 
                                    
                             7                          | 
                
                 | 
                			return '+0';  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    263
                 | 
                                    
                                                     | 
                
                 | 
                		}  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    264
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    265
                 | 
                                    
                             114                          | 
                
                 | 
                		$len = strlen( $value );  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    266
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    267
                 | 
                                    
                                                     | 
                
                 | 
                		// keeping all digits means no rounding  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    268
                 | 
                                    
                             114                          | 
                
                 | 
                		if ( $significantDigits >= $len - 1 ) { | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    269
                 | 
                                    
                             51                          | 
                
                 | 
                			return $value;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    270
                 | 
                                    
                                                     | 
                
                 | 
                		}  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    271
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    272
                 | 
                                    
                                                     | 
                
                 | 
                		// whether the last character is already part of the integer part of the decimal value  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    273
                 | 
                                    
                             63                          | 
                
                 | 
                		$i = min( $significantDigits + 1, $len ); // account for the sign  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    274
                 | 
                                    
                             63                          | 
                
                 | 
                		$ch = $i < $len ? $value[$i] : '0';  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    275
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    276
                 | 
                                    
                             63                          | 
                
                 | 
                		if ( $ch === '.' ) { | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    277
                 | 
                                    
                                                     | 
                
                 | 
                			// NOTE: we expect the input to be well formed, so it cannot end with a '.'  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    278
                 | 
                                    
                             27                          | 
                
                 | 
                			$i++;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    279
                 | 
                                    
                             27                          | 
                
                 | 
                			$ch = $i < $len ? $value[$i] : '0';  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    280
                 | 
                                    
                                                     | 
                
                 | 
                		}  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    281
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    282
                 | 
                                    
                                                     | 
                
                 | 
                		// split in significant and insignificant part  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    283
                 | 
                                    
                             63                          | 
                
                 | 
                		$rounded = substr( $value, 0, $i );  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    284
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    285
                 | 
                                    
                             63                          | 
                
                 | 
                		if ( strpos( $rounded, '.' ) === false ) { | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    286
                 | 
                                    
                             13                          | 
                
                 | 
                			$suffix = substr( $value, $i );  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    287
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    288
                 | 
                                    
                                                     | 
                
                 | 
                			// strip insignificant digits after the decimal point  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    289
                 | 
                                    
                             13                          | 
                
                 | 
                			$ppos = strpos( $suffix, '.' );  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    290
                 | 
                                    
                             13                          | 
                
                 | 
                			if ( $ppos !== false ) { | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    291
                 | 
                                    
                             3                          | 
                
                 | 
                				$suffix = substr( $suffix, 0, $ppos );  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    292
                 | 
                                    
                                                     | 
                
                 | 
                			}  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    293
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    294
                 | 
                                    
                                                     | 
                
                 | 
                			// zero out insignificant digits  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    295
                 | 
                                    
                             13                          | 
                
                 | 
                			$suffix = strtr( $suffix, '123456789', '000000000' );  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    296
                 | 
                                    
                                                     | 
                
                 | 
                		} else { | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    297
                 | 
                                    
                                                     | 
                
                 | 
                			// decimal point is in $rounded, so $suffix is insignificant  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    298
                 | 
                                    
                             50                          | 
                
                 | 
                			$suffix = '';  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    299
                 | 
                                    
                                                     | 
                
                 | 
                		}  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    300
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    301
                 | 
                                    
                             63                          | 
                
                 | 
                		if ( $ch >= '5' ) { | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    302
                 | 
                                    
                             27                          | 
                
                 | 
                			$rounded = $this->bumpDigits( $rounded );  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    303
                 | 
                                    
                                                     | 
                
                 | 
                		}  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    304
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    305
                 | 
                                    
                             63                          | 
                
                 | 
                		$rounded .= $suffix;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    306
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    307
                 | 
                                    
                             63                          | 
                
                 | 
                		if ( $significantDigits > strlen( $rounded ) - 1 ) { | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    308
                 | 
                                    
                                                     | 
                
                 | 
                			if ( strpos( $rounded, '.' ) !== false ) { | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    309
                 | 
                                    
                                                     | 
                
                 | 
                				$rounded = str_pad( $rounded, $significantDigits + 1, '0', STR_PAD_RIGHT );  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    310
                 | 
                                    
                                                     | 
                
                 | 
                			}  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    311
                 | 
                                    
                                                     | 
                
                 | 
                		}  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    312
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    313
                 | 
                                    
                                                     | 
                
                 | 
                		// strip trailing decimal point  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    314
                 | 
                                    
                             63                          | 
                
                 | 
                		$rounded = rtrim( $rounded, '.' );  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    315
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    316
                 | 
                                    
                             63                          | 
                
                 | 
                		return $rounded;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    317
                 | 
                                    
                                                     | 
                
                 | 
                	}  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    318
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    319
                 | 
                                    
                                                     | 
                
                 | 
                	/**  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    320
                 | 
                                    
                                                     | 
                
                 | 
                	 * Increment the least significant digit by one if it is less than 9, and  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    321
                 | 
                                    
                                                     | 
                
                 | 
                	 * set it to zero and continue to the next more significant digit if it is 9.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    322
                 | 
                                    
                                                     | 
                
                 | 
                	 * Exception: bump( 0 ) == 1;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    323
                 | 
                                    
                                                     | 
                
                 | 
                	 *  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    324
                 | 
                                    
                                                     | 
                
                 | 
                	 * E.g.: bump( 0.2 ) == 0.3, bump( -0.09 ) == -0.10, bump( 9.99 ) == 10.00  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    325
                 | 
                                    
                                                     | 
                
                 | 
                	 *  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    326
                 | 
                                    
                                                     | 
                
                 | 
                	 * This is the inverse of @see slump()  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    327
                 | 
                                    
                                                     | 
                
                 | 
                	 *  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    328
                 | 
                                    
                                                     | 
                
                 | 
                	 * @since 0.1  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    329
                 | 
                                    
                                                     | 
                
                 | 
                	 *  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    330
                 | 
                                    
                                                     | 
                
                 | 
                	 * @param DecimalValue $decimal  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    331
                 | 
                                    
                                                     | 
                
                 | 
                	 *  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    332
                 | 
                                    
                                                     | 
                
                 | 
                	 * @return DecimalValue  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    333
                 | 
                                    
                                                     | 
                
                 | 
                	 */  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    334
                 | 
                                    
                             16                          | 
                
                 | 
                	public function bump( DecimalValue $decimal ) { | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    335
                 | 
                                    
                             16                          | 
                
                 | 
                		$value = $decimal->getValue();  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    336
                 | 
                                    
                             16                          | 
                
                 | 
                		$bumped = $this->bumpDigits( $value );  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    337
                 | 
                                    
                             16                          | 
                
                 | 
                		return new DecimalValue( $bumped );  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    338
                 | 
                                    
                                                     | 
                
                 | 
                	}  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    339
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    340
                 | 
                                    
                                                     | 
                
                 | 
                	/**  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    341
                 | 
                                    
                                                     | 
                
                 | 
                	 * Increment the least significant digit by one if it is less than 9, and  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    342
                 | 
                                    
                                                     | 
                
                 | 
                	 * set it to zero and continue to the next more significant digit if it is 9.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    343
                 | 
                                    
                                                     | 
                
                 | 
                	 *  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    344
                 | 
                                    
                                                     | 
                
                 | 
                	 * @see bump()  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    345
                 | 
                                    
                                                     | 
                
                 | 
                	 *  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    346
                 | 
                                    
                                                     | 
                
                 | 
                	 * @param string $value  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    347
                 | 
                                    
                                                     | 
                
                 | 
                	 * @return string  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    348
                 | 
                                    
                                                     | 
                
                 | 
                	 */  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    349
                 | 
                                    
                             43                          | 
                
                 | 
                	private function bumpDigits( $value ) { | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    350
                 | 
                                    
                             43                          | 
                
                 | 
                		if ( $value === '+0' ) { | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    351
                 | 
                                    
                             2                          | 
                
                 | 
                			return '+1';  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    352
                 | 
                                    
                                                     | 
                
                 | 
                		}  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    353
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    354
                 | 
                                    
                             41                          | 
                
                 | 
                		$bumped = '';  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    355
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    356
                 | 
                                    
                             41                          | 
                
                 | 
                		for ( $i = strlen( $value ) - 1; $i >= 0; $i-- ) { | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    357
                 | 
                                    
                             41                          | 
                
                 | 
                			$ch = $value[$i];  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    358
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    359
                 | 
                                    
                             41                          | 
                
                 | 
                			if ( $ch === '.' ) { | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    360
                 | 
                                    
                             14                          | 
                
                 | 
                				$bumped = '.' . $bumped;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    361
                 | 
                                    
                             14                          | 
                
                 | 
                				continue;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    362
                 | 
                                    
                             41                          | 
                
                 | 
                			} elseif ( $ch === '9' ) { | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    363
                 | 
                                    
                             18                          | 
                
                 | 
                				$bumped = '0' . $bumped;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    364
                 | 
                                    
                             18                          | 
                
                 | 
                				continue;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    365
                 | 
                                    
                             41                          | 
                
                 | 
                			} elseif ( $ch === '+' || $ch === '-' ) { | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    366
                 | 
                                    
                             14                          | 
                
                 | 
                				$bumped = $ch . '1' . $bumped;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    367
                 | 
                                    
                             14                          | 
                
                 | 
                				break;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    368
                 | 
                                    
                                                     | 
                
                 | 
                			} else { | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    369
                 | 
                                    
                             27                          | 
                
                 | 
                				$bumped = chr( ord( $ch ) + 1 ) . $bumped;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    370
                 | 
                                    
                             27                          | 
                
                 | 
                				break;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    371
                 | 
                                    
                                                     | 
                
                 | 
                			}  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    372
                 | 
                                    
                                                     | 
                
                 | 
                		}  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    373
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    374
                 | 
                                    
                             41                          | 
                
                 | 
                		$bumped = substr( $value, 0, $i ) . $bumped;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    375
                 | 
                                    
                             41                          | 
                
                 | 
                		return $bumped;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    376
                 | 
                                    
                                                     | 
                
                 | 
                	}  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    377
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    378
                 | 
                                    
                                                     | 
                
                 | 
                	/**  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    379
                 | 
                                    
                                                     | 
                
                 | 
                	 * Decrement the least significant digit by one if it is more than 0, and  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    380
                 | 
                                    
                                                     | 
                
                 | 
                	 * set it to 9 and continue to the next more significant digit if it is 0.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    381
                 | 
                                    
                                                     | 
                
                 | 
                	 * Exception: slump( 0 ) == -1;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    382
                 | 
                                    
                                                     | 
                
                 | 
                	 *  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    383
                 | 
                                    
                                                     | 
                
                 | 
                	 * E.g.: slump( 0.2 ) == 0.1, slump( -0.10 ) == -0.01, slump( 0.0 ) == -1.0  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    384
                 | 
                                    
                                                     | 
                
                 | 
                	 *  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    385
                 | 
                                    
                                                     | 
                
                 | 
                	 * This is the inverse of @see bump()  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    386
                 | 
                                    
                                                     | 
                
                 | 
                	 *  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    387
                 | 
                                    
                                                     | 
                
                 | 
                	 * @since 0.1  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    388
                 | 
                                    
                                                     | 
                
                 | 
                	 *  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    389
                 | 
                                    
                                                     | 
                
                 | 
                	 * @param DecimalValue $decimal  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    390
                 | 
                                    
                                                     | 
                
                 | 
                	 *  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    391
                 | 
                                    
                                                     | 
                
                 | 
                	 * @return DecimalValue  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    392
                 | 
                                    
                                                     | 
                
                 | 
                	 */  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    393
                 | 
                                    
                             24                          | 
                
                 | 
                	public function slump( DecimalValue $decimal ) { | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    394
                 | 
                                    
                             24                          | 
                
                 | 
                		$value = $decimal->getValue();  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    395
                 | 
                                    
                             24                          | 
                
                 | 
                		$slumped = $this->slumpDigits( $value );  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    396
                 | 
                                    
                             24                          | 
                
                 | 
                		return new DecimalValue( $slumped );  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    397
                 | 
                                    
                                                     | 
                
                 | 
                	}  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    398
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    399
                 | 
                                    
                                                     | 
                
                 | 
                	/**  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    400
                 | 
                                    
                                                     | 
                
                 | 
                	 * Decrement the least significant digit by one if it is more than 0, and  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    401
                 | 
                                    
                                                     | 
                
                 | 
                	 * set it to 9 and continue to the next more significant digit if it is 0.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    402
                 | 
                                    
                                                     | 
                
                 | 
                	 *  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    403
                 | 
                                    
                                                     | 
                
                 | 
                	 * @see slump()  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    404
                 | 
                                    
                                                     | 
                
                 | 
                	 *  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    405
                 | 
                                    
                                                     | 
                
                 | 
                	 * @param string $value  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    406
                 | 
                                    
                                                     | 
                
                 | 
                	 * @return string  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    407
                 | 
                                    
                                                     | 
                
                 | 
                	 */  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    408
                 | 
                                    
                             24                          | 
                
                 | 
                	private function slumpDigits( $value ) { | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    409
                 | 
                                    
                             24                          | 
                
                 | 
                		if ( $value === '+0' ) { | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    410
                 | 
                                    
                             2                          | 
                
                 | 
                			return '-1';  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    411
                 | 
                                    
                                                     | 
                
                 | 
                		}  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    412
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    413
                 | 
                                    
                                                     | 
                
                 | 
                		// a "precise zero" will become negative  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    414
                 | 
                                    
                             22                          | 
                
                 | 
                		if ( preg_match( '/^\+0\.(0*)0$/', $value, $m ) ) { | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    415
                 | 
                                    
                             4                          | 
                
                 | 
                			return '-0.' . $m[1] . '1';  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    416
                 | 
                                    
                                                     | 
                
                 | 
                		}  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    417
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    418
                 | 
                                    
                             18                          | 
                
                 | 
                		$slumped = '';  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    419
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    420
                 | 
                                    
                             18                          | 
                
                 | 
                		for ( $i = strlen( $value ) - 1; $i >= 0; $i-- ) { | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    421
                 | 
                                    
                             18                          | 
                
                 | 
                			$ch = substr( $value, $i, 1 );  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    422
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    423
                 | 
                                    
                             18                          | 
                
                 | 
                			if ( $ch === '.' ) { | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    424
                 | 
                                    
                             2                          | 
                
                 | 
                				$slumped = '.' . $slumped;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    425
                 | 
                                    
                             2                          | 
                
                 | 
                				continue;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    426
                 | 
                                    
                             18                          | 
                
                 | 
                			} elseif ( $ch === '0' ) { | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    427
                 | 
                                    
                             8                          | 
                
                 | 
                				$slumped = '9' . $slumped;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    428
                 | 
                                    
                             8                          | 
                
                 | 
                				continue;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    429
                 | 
                                    
                             18                          | 
                
                 | 
                			} elseif ( $ch === '+' || $ch === '-' ) { | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    430
                 | 
                                    
                                                     | 
                
                 | 
                				$slumped = '0';  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    431
                 | 
                                    
                                                     | 
                
                 | 
                				break;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    432
                 | 
                                    
                                                     | 
                
                 | 
                			} else { | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    433
                 | 
                                    
                             18                          | 
                
                 | 
                				$slumped = chr( ord( $ch ) - 1 ) . $slumped;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    434
                 | 
                                    
                             18                          | 
                
                 | 
                				break;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    435
                 | 
                                    
                                                     | 
                
                 | 
                			}  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    436
                 | 
                                    
                                                     | 
                
                 | 
                		}  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    437
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    438
                 | 
                                    
                                                     | 
                
                 | 
                		// preserve prefix  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    439
                 | 
                                    
                             18                          | 
                
                 | 
                		$slumped = substr( $value, 0, $i ) . $slumped;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    440
                 | 
                                    
                             18                          | 
                
                 | 
                		$slumped = $this->stripLeadingZeros( $slumped );  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    441
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    442
                 | 
                                    
                             18                          | 
                
                 | 
                		if ( $slumped === '-0' ) { | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    443
                 | 
                                    
                             1                          | 
                
                 | 
                			$slumped = '+0';  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    444
                 | 
                                    
                                                     | 
                
                 | 
                		}  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    445
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    446
                 | 
                                    
                             18                          | 
                
                 | 
                		return $slumped;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    447
                 | 
                                    
                                                     | 
                
                 | 
                	}  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    448
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    449
                 | 
                                    
                                                     | 
                
                 | 
                	/**  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    450
                 | 
                                    
                                                     | 
                
                 | 
                	 * @param string $digits  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    451
                 | 
                                    
                                                     | 
                
                 | 
                	 *  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    452
                 | 
                                    
                                                     | 
                
                 | 
                	 * @return string  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    453
                 | 
                                    
                                                     | 
                
                 | 
                	 */  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    454
                 | 
                                    
                             40                          | 
                
                 | 
                	private function stripLeadingZeros( $digits ) { | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    455
                 | 
                                    
                             40                          | 
                
                 | 
                		$digits = preg_replace( '/^([-+])0+(?=\d)/', '\1', $digits );  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    456
                 | 
                                    
                             40                          | 
                
                 | 
                		return $digits;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    457
                 | 
                                    
                                                     | 
                
                 | 
                	}  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    458
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    459
                 | 
                                    
                                                     | 
                
                 | 
                	/**  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    460
                 | 
                                    
                                                     | 
                
                 | 
                	 * Shift the decimal point according to the given exponent.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    461
                 | 
                                    
                                                     | 
                
                 | 
                	 *  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    462
                 | 
                                    
                                                     | 
                
                 | 
                	 * @param DecimalValue $decimal  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    463
                 | 
                                    
                                                     | 
                
                 | 
                	 * @param int $exponent The exponent to apply (digits to shift by). A Positive exponent  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    464
                 | 
                                    
                                                     | 
                
                 | 
                	 * shifts the decimal point to the right, a negative exponent shifts to the left.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    465
                 | 
                                    
                                                     | 
                
                 | 
                	 *  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    466
                 | 
                                    
                                                     | 
                
                 | 
                	 * @throws InvalidArgumentException  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    467
                 | 
                                    
                                                     | 
                
                 | 
                	 * @return DecimalValue  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    468
                 | 
                                    
                                                     | 
                
                 | 
                	 */  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    469
                 | 
                                    
                             26                          | 
                
                 | 
                	public function shift( DecimalValue $decimal, $exponent ) { | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    470
                 | 
                                    
                             26                          | 
                
                 | 
                		if ( !is_int( $exponent ) ) { | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    471
                 | 
                                    
                                                     | 
                
                 | 
                			throw new InvalidArgumentException( '$exponent must be an integer' );  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    472
                 | 
                                    
                                                     | 
                
                 | 
                		}  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    473
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    474
                 | 
                                    
                             26                          | 
                
                 | 
                		if ( $exponent == 0 ) { | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    475
                 | 
                                    
                             4                          | 
                
                 | 
                			return $decimal;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    476
                 | 
                                    
                                                     | 
                
                 | 
                		}  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    477
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    478
                 | 
                                    
                             22                          | 
                
                 | 
                		$sign = $decimal->getSign();  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    479
                 | 
                                    
                             22                          | 
                
                 | 
                		$intPart = $decimal->getIntegerPart();  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    480
                 | 
                                    
                             22                          | 
                
                 | 
                		$fractPart = $decimal->getFractionalPart();  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    481
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    482
                 | 
                                    
                             22                          | 
                
                 | 
                		if ( $exponent < 0 ) { | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    483
                 | 
                                    
                             14                          | 
                
                 | 
                			$intPart = $this->shiftLeft( $intPart, $exponent );  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    484
                 | 
                                    
                                                     | 
                
                 | 
                		} else { | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    485
                 | 
                                    
                             8                          | 
                
                 | 
                			$fractPart = $this->shiftRight( $fractPart, $exponent );  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    486
                 | 
                                    
                                                     | 
                
                 | 
                		}  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    487
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    488
                 | 
                                    
                             22                          | 
                
                 | 
                		$digits = $sign . $intPart . $fractPart;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    489
                 | 
                                    
                             22                          | 
                
                 | 
                		$digits = $this->stripLeadingZeros( $digits );  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    490
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    491
                 | 
                                    
                             22                          | 
                
                 | 
                		return new DecimalValue( $digits );  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    492
                 | 
                                    
                                                     | 
                
                 | 
                	}  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    493
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    494
                 | 
                                    
                                                     | 
                
                 | 
                	/**  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    495
                 | 
                                    
                                                     | 
                
                 | 
                	 * @param string $intPart  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    496
                 | 
                                    
                                                     | 
                
                 | 
                	 * @param int $exponent must be negative  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    497
                 | 
                                    
                                                     | 
                
                 | 
                	 *  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    498
                 | 
                                    
                                                     | 
                
                 | 
                	 * @return string  | 
            
            
                                                                                                            
                                                                
            
                                    
            
            
                | 
                    499
                 | 
                                    
                                                     | 
                
                 | 
                	 */  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    500
                 | 
                                    
                             14                          | 
                
                 | 
                	private function shiftLeft( $intPart, $exponent ) { | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    501
                 | 
                                    
                                                     | 
                
                 | 
                		//note: $exponent is negative!  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    502
                 | 
                                    
                             14                          | 
                
                 | 
                		if ( -$exponent < strlen( $intPart ) ) { | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    503
                 | 
                                    
                             2                          | 
                
                 | 
                			$intPart = substr( $intPart, 0, $exponent ) . '.' . substr( $intPart, $exponent );  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    504
                 | 
                                    
                                                     | 
                
                 | 
                		} else { | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    505
                 | 
                                    
                             12                          | 
                
                 | 
                			$intPart = '0.' . str_pad( $intPart, -$exponent, '0', STR_PAD_LEFT );  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    506
                 | 
                                    
                                                     | 
                
                 | 
                		}  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    507
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    508
                 | 
                                    
                             14                          | 
                
                 | 
                		return $intPart;  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    509
                 | 
                                    
                                                     | 
                
                 | 
                	}  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    510
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    511
                 | 
                                    
                                                     | 
                
                 | 
                	/**  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    512
                 | 
                                    
                                                     | 
                
                 | 
                	 * @param string $fractPart  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    513
                 | 
                                    
                                                     | 
                
                 | 
                	 * @param int $exponent must be positive  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    514
                 | 
                                    
                                                     | 
                
                 | 
                	 *  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    515
                 | 
                                    
                                                     | 
                
                 | 
                	 * @return string  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    516
                 | 
                                    
                                                     | 
                
                 | 
                	 */  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    517
                 | 
                                    
                             8                          | 
                
                 | 
                	private function shiftRight( $fractPart, $exponent ) { | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    518
                 | 
                                    
                                                     | 
                
                 | 
                		//note: $exponent is positive.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    519
                 | 
                                    
                             8                          | 
                
                 | 
                		if ( $exponent < strlen( $fractPart ) ) { | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    520
                 | 
                                    
                                                     | 
                
                 | 
                			$fractPart = substr( $fractPart, 0, $exponent ) . '.' . substr( $fractPart, $exponent );  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    521
                 | 
                                    
                                                     | 
                
                 | 
                		} else { | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    522
                 | 
                                    
                             8                          | 
                
                 | 
                			$fractPart = str_pad( $fractPart, $exponent, '0', STR_PAD_RIGHT );  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    523
                 | 
                                    
                                                     | 
                
                 | 
                		}  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    524
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    525
                 | 
                                    
                             8                          | 
                
                 | 
                		return $fractPart;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    526
                 | 
                                    
                                                     | 
                
                 | 
                	}  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    527
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                                                                
            
                                    
            
            
                | 
                    528
                 | 
                                    
                                                     | 
                
                 | 
                }  | 
            
            
                                                        
            
                                    
            
            
                | 
                    529
                 | 
                                    
                                                     | 
                
                 | 
                 |