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<?php
/**
 * PHPExcel
 *
 * Copyright (c) 2006 - 2014 PHPExcel
 *
 * This library is free software; you can redistribute it and/or
 * modify it under the terms of the GNU Lesser General Public
 * License as published by the Free Software Foundation; either
 * version 2.1 of the License, or (at your option) any later version.
 *
 * This library is distributed in the hope that it will be useful,
 * but WITHOUT ANY WARRANTY; without even the implied warranty of
 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
 * Lesser General Public License for more details.
 *
 * You should have received a copy of the GNU Lesser General Public
 * License along with this library; if not, write to the Free Software
 * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301  USA
 *
 * @category   PHPExcel
 * @package    PHPExcel_Shared_Trend
 * @copyright  Copyright (c) 2006 - 2014 PHPExcel (http://www.codeplex.com/PHPExcel)
 * @license    http://www.gnu.org/licenses/old-licenses/lgpl-2.1.txt	LGPL
 * @version    ##VERSION##, ##DATE##
 */


require_once PHPEXCEL_ROOT . 'PHPExcel/Shared/trend/bestFitClass.php';


/**
 * PHPExcel_Power_Best_Fit
 *
 * @category   PHPExcel
 * @package    PHPExcel_Shared_Trend
 * @copyright  Copyright (c) 2006 - 2014 PHPExcel (http://www.codeplex.com/PHPExcel)
 */
class PHPExcel_Power_Best_Fit extends PHPExcel_Best_Fit
{
	/**
	 * Algorithm type to use for best-fit
	 * (Name of this trend class)
	 *
	 * @var	string
	 **/
	protected $_bestFitType		= 'power';


	/**
	 * Return the Y-Value for a specified value of X
	 *
	 * @param	 float		$xValue			X-Value
	 * @return	 float						Y-Value
	 **/
	public function getValueOfYForX($xValue) {
		return $this->getIntersect() * pow(($xValue - $this->_Xoffset),$this->getSlope());
	}	//	function getValueOfYForX()


	/**
	 * Return the X-Value for a specified value of Y
	 *
	 * @param	 float		$yValue			Y-Value
	 * @return	 float						X-Value
	 **/
	public function getValueOfXForY($yValue) {
		return pow((($yValue + $this->_Yoffset) / $this->getIntersect()),(1 / $this->getSlope()));
	}	//	function getValueOfXForY()


	/**
	 * Return the Equation of the best-fit line
	 *
	 * @param	 int		$dp		Number of places of decimal precision to display
	 * @return	 string
	 **/
	public function getEquation($dp=0) {
		$slope = $this->getSlope($dp);
		$intersect = $this->getIntersect($dp);

		return 'Y = '.$intersect.' * X^'.$slope;
	}	//	function getEquation()


	/**
	 * Return the Value of X where it intersects Y = 0
	 *
	 * @param	 int		$dp		Number of places of decimal precision to display
	 * @return	 string
	 **/
	public function getIntersect($dp=0) {
		if ($dp != 0) {
			return round(exp($this->_intersect),$dp);
		}
		return exp($this->_intersect);
	}	//	function getIntersect()


	/**
	 * Execute the regression and calculate the goodness of fit for a set of X and Y data values
	 *
	 * @param	 float[]	$yValues	The set of Y-values for this regression
	 * @param	 float[]	$xValues	The set of X-values for this regression
	 * @param	 boolean	$const
	 */
	private function _power_regression($yValues, $xValues, $const) {
		foreach($xValues as &$value) {
			if ($value < 0.0) {
				$value = 0 - log(abs($value));
			} elseif ($value > 0.0) {
				$value = log($value);
			}
		}
		unset($value);
		foreach($yValues as &$value) {
			if ($value < 0.0) {
				$value = 0 - log(abs($value));
			} elseif ($value > 0.0) {
				$value = log($value);
			}
		}
		unset($value);

		$this->_leastSquareFit($yValues, $xValues, $const);
	}	//	function _power_regression()


	/**
	 * Define the regression and calculate the goodness of fit for a set of X and Y data values
	 *
	 * @param	 float[]	$yValues	The set of Y-values for this regression
	 * @param	 float[]	$xValues	The set of X-values for this regression
	 * @param	 boolean	$const
	 */
	function __construct($yValues, $xValues=array(), $const=True) {
		if (parent::__construct($yValues, $xValues) !== False) {
			$this->_power_regression($yValues, $xValues, $const);
		}
	}	//	function __construct()

}	//	class powerBestFit