#401 : Support for namespaces

This commit is contained in:
Progi1984 2016-03-22 16:44:56 +01:00
parent f546be620e
commit c866be3c7a
9 changed files with 1285 additions and 6 deletions

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@ -1765,7 +1765,7 @@ class Statistical
/** /**
* GROWTH * GROWTH
* *
* Returns values along a predicted emponential trend * Returns values along a predicted emponential Trend
* *
* @param array of mixed Data Series Y * @param array of mixed Data Series Y
* @param array of mixed Data Series X * @param array of mixed Data Series X
@ -3404,7 +3404,7 @@ class Statistical
/** /**
* TREND * TREND
* *
* Returns values along a linear trend * Returns values along a linear Trend
* *
* @param array of mixed Data Series Y * @param array of mixed Data Series Y
* @param array of mixed Data Series X * @param array of mixed Data Series X

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@ -63,8 +63,8 @@ class Excel5 extends BaseReader implements IReader
// ParseXL definitions // ParseXL definitions
const XLS_BIFF8 = 0x0600; const XLS_BIFF8 = 0x0600;
const XLS_BIFF7 = 0x0500; const XLS_BIFF7 = 0x0500;
const XLS_WorkbookGlobals = 0x0005; const XLS_WORKBOOKGLOBALS = 0x0005;
const XLS_Worksheet = 0x0010; const XLS_WORKSHEET = 0x0010;
// record identifiers // record identifiers
const XLS_TYPE_FORMULA = 0x0006; const XLS_TYPE_FORMULA = 0x0006;
@ -1688,14 +1688,14 @@ class Excel5 extends BaseReader implements IReader
$substreamType = self::getInt2d($recordData, 2); $substreamType = self::getInt2d($recordData, 2);
switch ($substreamType) { switch ($substreamType) {
case self::XLS_WorkbookGlobals: case self::XLS_WORKBOOKGLOBALS:
$version = self::getInt2d($recordData, 0); $version = self::getInt2d($recordData, 0);
if (($version != self::XLS_BIFF8) && ($version != self::XLS_BIFF7)) { if (($version != self::XLS_BIFF8) && ($version != self::XLS_BIFF7)) {
throw new Exception('Cannot read this Excel file. Version is too old.'); throw new Exception('Cannot read this Excel file. Version is too old.');
} }
$this->version = $version; $this->version = $version;
break; break;
case self::XLS_Worksheet: case self::XLS_WORKSHEET:
// do not use this version information for anything // do not use this version information for anything
// it is unreliable (OpenOffice doc, 5.8), use only version information from the global stream // it is unreliable (OpenOffice doc, 5.8), use only version information from the global stream
break; break;

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@ -0,0 +1,427 @@
<?php
namespace PHPExcel\Shared\Trend;
/**
* bestFit
*
* Copyright (c) 2006 - 2015 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 - 2015 PHPExcel (http://www.codeplex.com/PHPExcel)
* @license http://www.gnu.org/licenses/old-licenses/lgpl-2.1.txt LGPL
* @version ##VERSION##, ##DATE##
*/
class BestFit
{
/**
* Indicator flag for a calculation error
*
* @var boolean
**/
protected $error = false;
/**
* Algorithm type to use for best-fit
*
* @var string
**/
protected $bestFitType = 'undetermined';
/**
* Number of entries in the sets of x- and y-value arrays
*
* @var int
**/
protected $valueCount = 0;
/**
* X-value dataseries of values
*
* @var float[]
**/
protected $xValues = array();
/**
* Y-value dataseries of values
*
* @var float[]
**/
protected $yValues = array();
/**
* Flag indicating whether values should be adjusted to Y=0
*
* @var boolean
**/
protected $adjustToZero = false;
/**
* Y-value series of best-fit values
*
* @var float[]
**/
protected $yBestFitValues = array();
protected $goodnessOfFit = 1;
protected $stdevOfResiduals = 0;
protected $covariance = 0;
protected $correlation = 0;
protected $SSRegression = 0;
protected $SSResiduals = 0;
protected $DFResiduals = 0;
protected $f = 0;
protected $slope = 0;
protected $slopeSE = 0;
protected $intersect = 0;
protected $intersectSE = 0;
protected $xOffset = 0;
protected $yOffset = 0;
public function getError()
{
return $this->error;
}
public function getBestFitType()
{
return $this->bestFitType;
}
/**
* Return the Y-Value for a specified value of X
*
* @param float $xValue X-Value
* @return float Y-Value
*/
public function getValueOfYForX($xValue)
{
return false;
}
/**
* Return the X-Value for a specified value of Y
*
* @param float $yValue Y-Value
* @return float X-Value
*/
public function getValueOfXForY($yValue)
{
return false;
}
/**
* Return the original set of X-Values
*
* @return float[] X-Values
*/
public function getXValues()
{
return $this->xValues;
}
/**
* 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)
{
return false;
}
/**
* Return the Slope of the line
*
* @param int $dp Number of places of decimal precision to display
* @return string
*/
public function getSlope($dp = 0)
{
if ($dp != 0) {
return round($this->slope, $dp);
}
return $this->slope;
}
/**
* Return the standard error of the Slope
*
* @param int $dp Number of places of decimal precision to display
* @return string
*/
public function getSlopeSE($dp = 0)
{
if ($dp != 0) {
return round($this->slopeSE, $dp);
}
return $this->slopeSE;
}
/**
* 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 ($dp != 0) {
return round($this->intersect, $dp);
}
return $this->intersect;
}
/**
* Return the standard error of the Intersect
*
* @param int $dp Number of places of decimal precision to display
* @return string
*/
public function getIntersectSE($dp = 0)
{
if ($dp != 0) {
return round($this->intersectSE, $dp);
}
return $this->intersectSE;
}
/**
* Return the goodness of fit for this regression
*
* @param int $dp Number of places of decimal precision to return
* @return float
*/
public function getGoodnessOfFit($dp = 0)
{
if ($dp != 0) {
return round($this->goodnessOfFit, $dp);
}
return $this->goodnessOfFit;
}
public function getGoodnessOfFitPercent($dp = 0)
{
if ($dp != 0) {
return round($this->goodnessOfFit * 100, $dp);
}
return $this->goodnessOfFit * 100;
}
/**
* Return the standard deviation of the residuals for this regression
*
* @param int $dp Number of places of decimal precision to return
* @return float
*/
public function getStdevOfResiduals($dp = 0)
{
if ($dp != 0) {
return round($this->stdevOfResiduals, $dp);
}
return $this->stdevOfResiduals;
}
public function getSSRegression($dp = 0)
{
if ($dp != 0) {
return round($this->SSRegression, $dp);
}
return $this->SSRegression;
}
public function getSSResiduals($dp = 0)
{
if ($dp != 0) {
return round($this->SSResiduals, $dp);
}
return $this->SSResiduals;
}
public function getDFResiduals($dp = 0)
{
if ($dp != 0) {
return round($this->DFResiduals, $dp);
}
return $this->DFResiduals;
}
public function getF($dp = 0)
{
if ($dp != 0) {
return round($this->f, $dp);
}
return $this->f;
}
public function getCovariance($dp = 0)
{
if ($dp != 0) {
return round($this->covariance, $dp);
}
return $this->covariance;
}
public function getCorrelation($dp = 0)
{
if ($dp != 0) {
return round($this->correlation, $dp);
}
return $this->correlation;
}
public function getYBestFitValues()
{
return $this->yBestFitValues;
}
protected function calculateGoodnessOfFit($sumX, $sumY, $sumX2, $sumY2, $sumXY, $meanX, $meanY, $const)
{
$SSres = $SScov = $SScor = $SStot = $SSsex = 0.0;
foreach ($this->xValues as $xKey => $xValue) {
$bestFitY = $this->yBestFitValues[$xKey] = $this->getValueOfYForX($xValue);
$SSres += ($this->yValues[$xKey] - $bestFitY) * ($this->yValues[$xKey] - $bestFitY);
if ($const) {
$SStot += ($this->yValues[$xKey] - $meanY) * ($this->yValues[$xKey] - $meanY);
} else {
$SStot += $this->yValues[$xKey] * $this->yValues[$xKey];
}
$SScov += ($this->xValues[$xKey] - $meanX) * ($this->yValues[$xKey] - $meanY);
if ($const) {
$SSsex += ($this->xValues[$xKey] - $meanX) * ($this->xValues[$xKey] - $meanX);
} else {
$SSsex += $this->xValues[$xKey] * $this->xValues[$xKey];
}
}
$this->SSResiduals = $SSres;
$this->DFResiduals = $this->valueCount - 1 - $const;
if ($this->DFResiduals == 0.0) {
$this->stdevOfResiduals = 0.0;
} else {
$this->stdevOfResiduals = sqrt($SSres / $this->DFResiduals);
}
if (($SStot == 0.0) || ($SSres == $SStot)) {
$this->goodnessOfFit = 1;
} else {
$this->goodnessOfFit = 1 - ($SSres / $SStot);
}
$this->SSRegression = $this->goodnessOfFit * $SStot;
$this->covariance = $SScov / $this->valueCount;
$this->correlation = ($this->valueCount * $sumXY - $sumX * $sumY) / sqrt(($this->valueCount * $sumX2 - pow($sumX, 2)) * ($this->valueCount * $sumY2 - pow($sumY, 2)));
$this->slopeSE = $this->stdevOfResiduals / sqrt($SSsex);
$this->intersectSE = $this->stdevOfResiduals * sqrt(1 / ($this->valueCount - ($sumX * $sumX) / $sumX2));
if ($this->SSResiduals != 0.0) {
if ($this->DFResiduals == 0.0) {
$this->f = 0.0;
} else {
$this->f = $this->SSRegression / ($this->SSResiduals / $this->DFResiduals);
}
} else {
if ($this->DFResiduals == 0.0) {
$this->f = 0.0;
} else {
$this->f = $this->SSRegression / $this->DFResiduals;
}
}
}
protected function leastSquareFit($yValues, $xValues, $const)
{
// calculate sums
$x_sum = array_sum($xValues);
$y_sum = array_sum($yValues);
$meanX = $x_sum / $this->valueCount;
$meanY = $y_sum / $this->valueCount;
$mBase = $mDivisor = $xx_sum = $xy_sum = $yy_sum = 0.0;
for ($i = 0; $i < $this->valueCount; ++$i) {
$xy_sum += $xValues[$i] * $yValues[$i];
$xx_sum += $xValues[$i] * $xValues[$i];
$yy_sum += $yValues[$i] * $yValues[$i];
if ($const) {
$mBase += ($xValues[$i] - $meanX) * ($yValues[$i] - $meanY);
$mDivisor += ($xValues[$i] - $meanX) * ($xValues[$i] - $meanX);
} else {
$mBase += $xValues[$i] * $yValues[$i];
$mDivisor += $xValues[$i] * $xValues[$i];
}
}
// calculate slope
// $this->slope = (($this->valueCount * $xy_sum) - ($x_sum * $y_sum)) / (($this->valueCount * $xx_sum) - ($x_sum * $x_sum));
$this->slope = $mBase / $mDivisor;
// calculate intersect
// $this->intersect = ($y_sum - ($this->slope * $x_sum)) / $this->valueCount;
if ($const) {
$this->intersect = $meanY - ($this->slope * $meanX);
} else {
$this->intersect = 0;
}
$this->calculateGoodnessOfFit($x_sum, $y_sum, $xx_sum, $yy_sum, $xy_sum, $meanX, $meanY, $const);
}
/**
* Define the regression
*
* @param float[] $yValues The set of Y-values for this regression
* @param float[] $xValues The set of X-values for this regression
* @param boolean $const
*/
public function __construct($yValues, $xValues = array(), $const = true)
{
// Calculate number of points
$nY = count($yValues);
$nX = count($xValues);
// Define X Values if necessary
if ($nX == 0) {
$xValues = range(1, $nY);
$nX = $nY;
} elseif ($nY != $nX) {
// Ensure both arrays of points are the same size
$this->error = true;
return false;
}
$this->valueCount = $nY;
$this->xValues = $xValues;
$this->yValues = $yValues;
}
}

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@ -0,0 +1,138 @@
<?php
namespace PHPExcel\Shared\Trend;
/**
* PHPExcel_Exponential_Best_Fit
*
* Copyright (c) 2006 - 2015 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 - 2015 PHPExcel (http://www.codeplex.com/PHPExcel)
* @license http://www.gnu.org/licenses/old-licenses/lgpl-2.1.txt LGPL
* @version ##VERSION##, ##DATE##
*/
class ExponentialBestFit extends BestFit
{
/**
* Algorithm type to use for best-fit
* (Name of this Trend class)
*
* @var string
**/
protected $bestFitType = 'exponential';
/**
* Return the Y-Value for a specified value of X
*
* @param float $xValue X-Value
* @return float Y-Value
**/
public function getValueOfYForX($xValue)
{
return $this->getIntersect() * pow($this->getSlope(), ($xValue - $this->xOffset));
}
/**
* Return the X-Value for a specified value of Y
*
* @param float $yValue Y-Value
* @return float X-Value
**/
public function getValueOfXForY($yValue)
{
return log(($yValue + $this->yOffset) / $this->getIntersect()) / log($this->getSlope());
}
/**
* 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 . ' * ' . $slope . '^X';
}
/**
* Return the Slope of the line
*
* @param int $dp Number of places of decimal precision to display
* @return string
**/
public function getSlope($dp = 0)
{
if ($dp != 0) {
return round(exp($this->_slope), $dp);
}
return exp($this->_slope);
}
/**
* 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);
}
/**
* 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 $const
*/
private function exponentialRegression($yValues, $xValues, $const)
{
foreach ($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);
}
/**
* 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 $const
*/
public function __construct($yValues, $xValues = array(), $const = true)
{
if (parent::__construct($yValues, $xValues) !== false) {
$this->exponentialRegression($yValues, $xValues, $const);
}
}
}

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@ -0,0 +1,102 @@
<?php
namespace PHPExcel\Shared\Trend;
/**
* PHPExcel_Linear_Best_Fit
*
* Copyright (c) 2006 - 2015 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 - 2015 PHPExcel (http://www.codeplex.com/PHPExcel)
* @license http://www.gnu.org/licenses/old-licenses/lgpl-2.1.txt LGPL
* @version ##VERSION##, ##DATE##
*/
class LinearBestFit extends BestFit
{
/**
* Algorithm type to use for best-fit
* (Name of this Trend class)
*
* @var string
**/
protected $bestFitType = 'linear';
/**
* 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() + $this->getSlope() * $xValue;
}
/**
* Return the X-Value for a specified value of Y
*
* @param float $yValue Y-Value
* @return float X-Value
**/
public function getValueOfXForY($yValue)
{
return ($yValue - $this->getIntersect()) / $this->getSlope();
}
/**
* 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 . ' + ' . $slope . ' * X';
}
/**
* 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 $const
*/
private function linearRegression($yValues, $xValues, $const)
{
$this->leastSquareFit($yValues, $xValues, $const);
}
/**
* 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 $const
*/
public function __construct($yValues, $xValues = array(), $const = true)
{
if (parent::__construct($yValues, $xValues) !== false) {
$this->linearRegression($yValues, $xValues, $const);
}
}
}

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@ -0,0 +1,110 @@
<?php
namespace PHPExcel\Shared\Trend;
/**
* PHPExcel_Logarithmic_Best_Fit
*
* Copyright (c) 2006 - 2015 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 - 2015 PHPExcel (http://www.codeplex.com/PHPExcel)
* @license http://www.gnu.org/licenses/old-licenses/lgpl-2.1.txt LGPL
* @version ##VERSION##, ##DATE##
*/
class LogarithmicBestFit extends BestFit
{
/**
* Algorithm type to use for best-fit
* (Name of this Trend class)
*
* @var string
**/
protected $bestFitType = 'logarithmic';
/**
* 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() + $this->getSlope() * log($xValue - $this->xOffset);
}
/**
* Return the X-Value for a specified value of Y
*
* @param float $yValue Y-Value
* @return float X-Value
**/
public function getValueOfXForY($yValue)
{
return exp(($yValue - $this->getIntersect()) / $this->getSlope());
}
/**
* 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 = '.$intersect.' + '.$slope.' * log(X)';
}
/**
* 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 $const
*/
private function logarithmicRegression($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);
$this->leastSquareFit($yValues, $xValues, $const);
}
/**
* 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 $const
*/
public function __construct($yValues, $xValues = array(), $const = true)
{
if (parent::__construct($yValues, $xValues) !== false) {
$this->logarithmicRegression($yValues, $xValues, $const);
}
}
}

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@ -0,0 +1,221 @@
<?php
namespace PHPExcel\Shared\Trend;
/**
* PHPExcel_Polynomial_Best_Fit
*
* Copyright (c) 2006 - 2015 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 - 2015 PHPExcel (http://www.codeplex.com/PHPExcel)
* @license http://www.gnu.org/licenses/old-licenses/lgpl-2.1.txt LGPL
* @version ##VERSION##, ##DATE##
*/
class PolynomialBestFit extends BestFit
{
/**
* Algorithm type to use for best-fit
* (Name of this Trend class)
*
* @var string
**/
protected $bestFitType = 'polynomial';
/**
* Polynomial order
*
* @protected
* @var int
**/
protected $order = 0;
/**
* Return the order of this polynomial
*
* @return int
**/
public function getOrder()
{
return $this->order;
}
/**
* Return the Y-Value for a specified value of X
*
* @param float $xValue X-Value
* @return float Y-Value
**/
public function getValueOfYForX($xValue)
{
$retVal = $this->getIntersect();
$slope = $this->getSlope();
foreach ($slope as $key => $value) {
if ($value != 0.0) {
$retVal += $value * pow($xValue, $key + 1);
}
}
return $retVal;
}
/**
* Return the X-Value for a specified value of Y
*
* @param float $yValue Y-Value
* @return float X-Value
**/
public function getValueOfXForY($yValue)
{
return ($yValue - $this->getIntersect()) / $this->getSlope();
}
/**
* 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);
$equation = 'Y = ' . $intersect;
foreach ($slope as $key => $value) {
if ($value != 0.0) {
$equation .= ' + ' . $value . ' * X';
if ($key > 0) {
$equation .= '^' . ($key + 1);
}
}
}
return $equation;
}
/**
* Return the Slope of the line
*
* @param int $dp Number of places of decimal precision to display
* @return string
**/
public function getSlope($dp = 0)
{
if ($dp != 0) {
$coefficients = array();
foreach ($this->_slope as $coefficient) {
$coefficients[] = round($coefficient, $dp);
}
return $coefficients;
}
return $this->_slope;
}
public function getCoefficients($dp = 0)
{
return array_merge(array($this->getIntersect($dp)), $this->getSlope($dp));
}
/**
* Execute the regression and calculate the goodness of fit for a set of X and Y data values
*
* @param int $order Order of Polynomial for this regression
* @param float[] $yValues The set of Y-values for this regression
* @param float[] $xValues The set of X-values for this regression
* @param boolean $const
*/
private function polynomialRegression($order, $yValues, $xValues, $const)
{
// calculate sums
$x_sum = array_sum($xValues);
$y_sum = array_sum($yValues);
$xx_sum = $xy_sum = 0;
for ($i = 0; $i < $this->valueCount; ++$i) {
$xy_sum += $xValues[$i] * $yValues[$i];
$xx_sum += $xValues[$i] * $xValues[$i];
$yy_sum += $yValues[$i] * $yValues[$i];
}
/*
* This routine uses logic from the PHP port of polyfit version 0.1
* written by Michael Bommarito and Paul Meagher
*
* The function fits a polynomial function of order $order through
* a series of x-y data points using least squares.
*
*/
for ($i = 0; $i < $this->valueCount; ++$i) {
for ($j = 0; $j <= $order; ++$j) {
$A[$i][$j] = pow($xValues[$i], $j);
}
}
for ($i=0; $i < $this->valueCount; ++$i) {
$B[$i] = array($yValues[$i]);
}
$matrixA = new Matrix($A);
$matrixB = new Matrix($B);
$C = $matrixA->solve($matrixB);
$coefficients = array();
for ($i = 0; $i < $C->m; ++$i) {
$r = $C->get($i, 0);
if (abs($r) <= pow(10, -9)) {
$r = 0;
}
$coefficients[] = $r;
}
$this->intersect = array_shift($coefficients);
$this->_slope = $coefficients;
$this->calculateGoodnessOfFit($x_sum, $y_sum, $xx_sum, $yy_sum, $xy_sum);
foreach ($this->xValues as $xKey => $xValue) {
$this->yBestFitValues[$xKey] = $this->getValueOfYForX($xValue);
}
}
/**
* Define the regression and calculate the goodness of fit for a set of X and Y data values
*
* @param int $order Order of Polynomial for this regression
* @param float[] $yValues The set of Y-values for this regression
* @param float[] $xValues The set of X-values for this regression
* @param boolean $const
*/
public function __construct($order, $yValues, $xValues = array(), $const = true)
{
if (parent::__construct($yValues, $xValues) !== false) {
if ($order < $this->valueCount) {
$this->bestFitType .= '_'.$order;
$this->order = $order;
$this->polynomialRegression($order, $yValues, $xValues, $const);
if (($this->getGoodnessOfFit() < 0.0) || ($this->getGoodnessOfFit() > 1.0)) {
$this->_error = true;
}
} else {
$this->_error = true;
}
}
}
}

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<?php
namespace PHPExcel\Shared\Trend;
/**
* \PHPExcel\Shared\Trend\powerBestFit
*
* Copyright (c) 2006 - 2015 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 - 2015 PHPExcel (http://www.codeplex.com/PHPExcel)
* @license http://www.gnu.org/licenses/old-licenses/lgpl-2.1.txt LGPL
* @version ##VERSION##, ##DATE##
*/
class PowerBestFit extends BestFit
{
/**
* 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());
}
/**
* 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()));
}
/**
* 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;
}
/**
* 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);
}
/**
* 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 $const
*/
private function powerRegression($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);
}
/**
* 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 $const
*/
public function __construct($yValues, $xValues = array(), $const = true)
{
if (parent::__construct($yValues, $xValues) !== false) {
$this->powerRegression($yValues, $xValues, $const);
}
}
}

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<?php
namespace PHPExcel\Shared\Trend;
/**
* PHPExcel_\PHPExcel\Shared\Trend\Trend
*
* Copyright (c) 2006 - 2015 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 - 2015 PHPExcel (http://www.codeplex.com/PHPExcel)
* @license http://www.gnu.org/licenses/old-licenses/lgpl-2.1.txt LGPL
* @version ##VERSION##, ##DATE##
*/
class Trend
{
const TREND_LINEAR = 'Linear';
const TREND_LOGARITHMIC = 'Logarithmic';
const TREND_EXPONENTIAL = 'Exponential';
const TREND_POWER = 'Power';
const TREND_POLYNOMIAL_2 = 'Polynomial_2';
const TREND_POLYNOMIAL_3 = 'Polynomial_3';
const TREND_POLYNOMIAL_4 = 'Polynomial_4';
const TREND_POLYNOMIAL_5 = 'Polynomial_5';
const TREND_POLYNOMIAL_6 = 'Polynomial_6';
const TREND_BEST_FIT = 'Bestfit';
const TREND_BEST_FIT_NO_POLY = 'Bestfit_no_Polynomials';
/**
* Names of the best-fit Trend analysis methods
*
* @var string[]
**/
private static $trendTypes = array(
self::TREND_LINEAR,
self::TREND_LOGARITHMIC,
self::TREND_EXPONENTIAL,
self::TREND_POWER
);
/**
* Names of the best-fit Trend polynomial orders
*
* @var string[]
**/
private static $trendTypePolynomialOrders = array(
self::TREND_POLYNOMIAL_2,
self::TREND_POLYNOMIAL_3,
self::TREND_POLYNOMIAL_4,
self::TREND_POLYNOMIAL_5,
self::TREND_POLYNOMIAL_6
);
/**
* Cached results for each method when trying to identify which provides the best fit
*
* @var bestFit[]
**/
private static $trendCache = array();
public static function calculate($trendType = self::TREND_BEST_FIT, $yValues = array(), $xValues = array(), $const = true)
{
// Calculate number of points in each dataset
$nY = count($yValues);
$nX = count($xValues);
// Define X Values if necessary
if ($nX == 0) {
$xValues = range(1, $nY);
$nX = $nY;
} elseif ($nY != $nX) {
// Ensure both arrays of points are the same size
trigger_error("Trend(): Number of elements in coordinate arrays do not match.", E_USER_ERROR);
}
$key = md5($trendType.$const.serialize($yValues).serialize($xValues));
// Determine which Trend method has been requested
switch ($trendType) {
// Instantiate and return the class for the requested Trend method
case self::TREND_LINEAR:
case self::TREND_LOGARITHMIC:
case self::TREND_EXPONENTIAL:
case self::TREND_POWER:
if (!isset(self::$trendCache[$key])) {
$className = '\PHPExcel\Shared\Trend\\'.$trendType.'BestFit';
self::$trendCache[$key] = new $className($yValues, $xValues, $const);
}
return self::$trendCache[$key];
case self::TREND_POLYNOMIAL_2:
case self::TREND_POLYNOMIAL_3:
case self::TREND_POLYNOMIAL_4:
case self::TREND_POLYNOMIAL_5:
case self::TREND_POLYNOMIAL_6:
if (!isset(self::$trendCache[$key])) {
$order = substr($trendType, -1);
self::$trendCache[$key] = new PolynomialBestFit($order, $yValues, $xValues, $const);
}
return self::$trendCache[$key];
case self::TREND_BEST_FIT:
case self::TREND_BEST_FIT_NO_POLY:
// If the request is to determine the best fit regression, then we test each Trend line in turn
// Start by generating an instance of each available Trend method
foreach (self::$trendTypes as $trendMethod) {
$className = '\PHPExcel\Shared\Trend\\'.$trendType.'BestFit';
$bestFit[$trendMethod] = new $className($yValues, $xValues, $const);
$bestFitValue[$trendMethod] = $bestFit[$trendMethod]->getGoodnessOfFit();
}
if ($trendType != self::TREND_BEST_FIT_NO_POLY) {
foreach (self::$trendTypePolynomialOrders as $trendMethod) {
$order = substr($trendMethod, -1);
$bestFit[$trendMethod] = new PolynomialBestFit($order, $yValues, $xValues, $const);
if ($bestFit[$trendMethod]->getError()) {
unset($bestFit[$trendMethod]);
} else {
$bestFitValue[$trendMethod] = $bestFit[$trendMethod]->getGoodnessOfFit();
}
}
}
// Determine which of our Trend lines is the best fit, and then we return the instance of that Trend class
arsort($bestFitValue);
$bestFitType = key($bestFitValue);
return $bestFit[$bestFitType];
default:
return false;
}
}
}