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								<?php
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								/**
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								 * PHPExcel
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								 *
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								 * Copyright (c) 2006 - 2015 PHPExcel
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								 *
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								 * This library is free software; you can redistribute it and/or
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								 * modify it under the terms of the GNU Lesser General Public
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								 * License as published by the Free Software Foundation; either
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								 * version 2.1 of the License, or (at your option) any later version.
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								 *
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								 * This library is distributed in the hope that it will be useful,
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								 * but WITHOUT ANY WARRANTY; without even the implied warranty of
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								 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
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								 * Lesser General Public License for more details.
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								 *
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								 * You should have received a copy of the GNU Lesser General Public
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								 * License along with this library; if not, write to the Free Software
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								 * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301  USA
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								 *
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								 * @category   PHPExcel
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								 * @package    PHPExcel_Shared_Trend
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								 * @copyright  Copyright (c) 2006 - 2015 PHPExcel (http://www.codeplex.com/PHPExcel)
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								 * @license    http://www.gnu.org/licenses/old-licenses/lgpl-2.1.txt    LGPL
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								 * @version    ##VERSION##, ##DATE##
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								 */
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								require_once PHPEXCEL_ROOT . 'PHPExcel/Shared/trend/linearBestFitClass.php';
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								require_once PHPEXCEL_ROOT . 'PHPExcel/Shared/trend/logarithmicBestFitClass.php';
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								require_once PHPEXCEL_ROOT . 'PHPExcel/Shared/trend/exponentialBestFitClass.php';
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								require_once PHPEXCEL_ROOT . 'PHPExcel/Shared/trend/powerBestFitClass.php';
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								require_once PHPEXCEL_ROOT . 'PHPExcel/Shared/trend/polynomialBestFitClass.php';
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								/**
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								 * PHPExcel_trendClass
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								 *
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								 * @category   PHPExcel
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								 * @package    PHPExcel_Shared_Trend
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								 * @copyright  Copyright (c) 2006 - 2015 PHPExcel (http://www.codeplex.com/PHPExcel)
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								 */
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								class trendClass
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								{
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								    const TREND_LINEAR                = 'Linear';
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								    const TREND_LOGARITHMIC            = 'Logarithmic';
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								    const TREND_EXPONENTIAL            = 'Exponential';
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								    const TREND_POWER                = 'Power';
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								    const TREND_POLYNOMIAL_2        = 'Polynomial_2';
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								    const TREND_POLYNOMIAL_3        = 'Polynomial_3';
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								    const TREND_POLYNOMIAL_4        = 'Polynomial_4';
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								    const TREND_POLYNOMIAL_5        = 'Polynomial_5';
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								    const TREND_POLYNOMIAL_6        = 'Polynomial_6';
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								    const TREND_BEST_FIT            = 'Bestfit';
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								    const TREND_BEST_FIT_NO_POLY    = 'Bestfit_no_Polynomials';
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								    /**
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								     * Names of the best-fit trend analysis methods
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								     *
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								     * @var string[]
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								     **/
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								    private static $_trendTypes = array( self::TREND_LINEAR,
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								                                         self::TREND_LOGARITHMIC,
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								                                         self::TREND_EXPONENTIAL,
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								                                         self::TREND_POWER
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								                                       );
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								    /**
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								     * Names of the best-fit trend polynomial orders
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								     *
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								     * @var string[]
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								     **/
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								    private static $_trendTypePolyOrders = array( self::TREND_POLYNOMIAL_2,
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								                                                  self::TREND_POLYNOMIAL_3,
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								                                                  self::TREND_POLYNOMIAL_4,
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								                                                  self::TREND_POLYNOMIAL_5,
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								                                                  self::TREND_POLYNOMIAL_6
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								                                                );
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								    /**
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								     * Cached results for each method when trying to identify which provides the best fit
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								     *
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								     * @var PHPExcel_Best_Fit[]
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								     **/
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								    private static $_trendCache = array();
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								    public static function calculate($trendType = self::TREND_BEST_FIT, $yValues, $xValues = array(), $const = true)
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								    {
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								        //    Calculate number of points in each dataset
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								        $nY = count($yValues);
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								        $nX = count($xValues);
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								        //    Define X Values if necessary
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								        if ($nX == 0) {
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								            $xValues = range(1, $nY);
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								            $nX = $nY;
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								        } elseif ($nY != $nX) {
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								            //    Ensure both arrays of points are the same size
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								            trigger_error("trend(): Number of elements in coordinate arrays do not match.", E_USER_ERROR);
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								        }
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								        $key = md5($trendType.$const.serialize($yValues).serialize($xValues));
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								        //    Determine which trend method has been requested
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								        switch ($trendType) {
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								            //    Instantiate and return the class for the requested trend method
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								            case self::TREND_LINEAR:
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								            case self::TREND_LOGARITHMIC:
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								            case self::TREND_EXPONENTIAL:
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								            case self::TREND_POWER:
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								                if (!isset(self::$_trendCache[$key])) {
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								                    $className = 'PHPExcel_'.$trendType.'_Best_Fit';
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								                    self::$_trendCache[$key] = new $className($yValues, $xValues, $const);
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								                }
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								                return self::$_trendCache[$key];
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								                break;
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								            case self::TREND_POLYNOMIAL_2:
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								            case self::TREND_POLYNOMIAL_3:
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								            case self::TREND_POLYNOMIAL_4:
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								            case self::TREND_POLYNOMIAL_5:
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								            case self::TREND_POLYNOMIAL_6:
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								                if (!isset(self::$_trendCache[$key])) {
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								                    $order = substr($trendType, -1);
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								                    self::$_trendCache[$key] = new PHPExcel_Polynomial_Best_Fit($order, $yValues, $xValues, $const);
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								                }
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								                return self::$_trendCache[$key];
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								                break;
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								            case self::TREND_BEST_FIT:
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								            case self::TREND_BEST_FIT_NO_POLY:
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								                //    If the request is to determine the best fit regression, then we test each trend line in turn
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								                //    Start by generating an instance of each available trend method
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								                foreach (self::$_trendTypes as $trendMethod) {
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								                    $className = 'PHPExcel_'.$trendMethod.'BestFit';
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								                    $bestFit[$trendMethod] = new $className($yValues, $xValues, $const);
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								                    $bestFitValue[$trendMethod] = $bestFit[$trendMethod]->getGoodnessOfFit();
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								                }
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								                if ($trendType != self::TREND_BEST_FIT_NO_POLY) {
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								                    foreach (self::$_trendTypePolyOrders as $trendMethod) {
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								                        $order = substr($trendMethod, -1);
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								                        $bestFit[$trendMethod] = new PHPExcel_Polynomial_Best_Fit($order, $yValues, $xValues, $const);
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								                        if ($bestFit[$trendMethod]->getError()) {
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								                            unset($bestFit[$trendMethod]);
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								                        } else {
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								                            $bestFitValue[$trendMethod] = $bestFit[$trendMethod]->getGoodnessOfFit();
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								                        }
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								                    }
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								                }
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								                //    Determine which of our trend lines is the best fit, and then we return the instance of that trend class
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								                arsort($bestFitValue);
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								                $bestFitType = key($bestFitValue);
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								                return $bestFit[$bestFitType];
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								                break;
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								            default:
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								                return false;
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								        }
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								    }    //    function calculate()
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								}
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