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-<?php

-/**

- * PHPExcel

- *

- * Copyright (c) 2006 - 2012 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_Calculation

- * @copyright	Copyright (c) 2006 - 2012 PHPExcel (http://www.codeplex.com/PHPExcel)

- * @license		http://www.gnu.org/licenses/old-licenses/lgpl-2.1.txt	LGPL

- * @version		1.7.8, 2012-10-12

- */

-

-

-/** PHPExcel root directory */

-if (!defined('PHPEXCEL_ROOT')) {

-	/**

-	 * @ignore

-	 */

-	define('PHPEXCEL_ROOT', dirname(__FILE__) . '/../../');

-	require(PHPEXCEL_ROOT . 'PHPExcel/Autoloader.php');

-}

-

-

-/**

- * PHPExcel_Calculation_MathTrig

- *

- * @category	PHPExcel

- * @package		PHPExcel_Calculation

- * @copyright	Copyright (c) 2006 - 2012 PHPExcel (http://www.codeplex.com/PHPExcel)

- */

-class PHPExcel_Calculation_MathTrig {

-

-	//

-	//	Private method to return an array of the factors of the input value

-	//

-	private static function _factors($value) {

-		$startVal = floor(sqrt($value));

-

-		$factorArray = array();

-		for ($i = $startVal; $i > 1; --$i) {

-			if (($value % $i) == 0) {

-				$factorArray = array_merge($factorArray,self::_factors($value / $i));

-				$factorArray = array_merge($factorArray,self::_factors($i));

-				if ($i <= sqrt($value)) {

-					break;

-				}

-			}

-		}

-		if (!empty($factorArray)) {

-			rsort($factorArray);

-			return $factorArray;

-		} else {

-			return array((integer) $value);

-		}

-	}	//	function _factors()

-

-

-	private static function _romanCut($num, $n) {

-		return ($num - ($num % $n ) ) / $n;

-	}	//	function _romanCut()

-

-

-	/**

-	 * ATAN2

-	 *

-	 * This function calculates the arc tangent of the two variables x and y. It is similar to

-	 *		calculating the arc tangent of y ÷ x, except that the signs of both arguments are used

-	 *		to determine the quadrant of the result.

-	 * The arctangent is the angle from the x-axis to a line containing the origin (0, 0) and a

-	 *		point with coordinates (xCoordinate, yCoordinate). The angle is given in radians between

-	 *		-pi and pi, excluding -pi.

-	 *

-	 * Note that the Excel ATAN2() function accepts its arguments in the reverse order to the standard

-	 *		PHP atan2() function, so we need to reverse them here before calling the PHP atan() function.

-	 *

-	 * Excel Function:

-	 *		ATAN2(xCoordinate,yCoordinate)

-	 *

-	 * @access	public

-	 * @category Mathematical and Trigonometric Functions

-	 * @param	float	$xCoordinate		The x-coordinate of the point.

-	 * @param	float	$yCoordinate		The y-coordinate of the point.

-	 * @return	float	The inverse tangent of the specified x- and y-coordinates.

-	 */

-	public static function ATAN2($xCoordinate = NULL, $yCoordinate = NULL) {

-		$xCoordinate	= PHPExcel_Calculation_Functions::flattenSingleValue($xCoordinate);

-		$yCoordinate	= PHPExcel_Calculation_Functions::flattenSingleValue($yCoordinate);

-

-		$xCoordinate	= ($xCoordinate !== NULL)	? $xCoordinate : 0.0;

-		$yCoordinate	= ($yCoordinate !== NULL)	? $yCoordinate : 0.0;

-

-		if (((is_numeric($xCoordinate)) || (is_bool($xCoordinate))) &&

-			((is_numeric($yCoordinate)))  || (is_bool($yCoordinate))) {

-			$xCoordinate	= (float) $xCoordinate;

-			$yCoordinate	= (float) $yCoordinate;

-

-			if (($xCoordinate == 0) && ($yCoordinate == 0)) {

-				return PHPExcel_Calculation_Functions::DIV0();

-			}

-

-			return atan2($yCoordinate, $xCoordinate);

-		}

-		return PHPExcel_Calculation_Functions::VALUE();

-	}	//	function ATAN2()

-

-

-	/**

-	 * CEILING

-	 *

-	 * Returns number rounded up, away from zero, to the nearest multiple of significance.

-	 *		For example, if you want to avoid using pennies in your prices and your product is

-	 *		priced at $4.42, use the formula =CEILING(4.42,0.05) to round prices up to the

-	 *		nearest nickel.

-	 *

-	 * Excel Function:

-	 *		CEILING(number[,significance])

-	 *

-	 * @access	public

-	 * @category Mathematical and Trigonometric Functions

-	 * @param	float	$number			The number you want to round.

-	 * @param	float	$significance	The multiple to which you want to round.

-	 * @return	float	Rounded Number

-	 */

-	public static function CEILING($number, $significance = NULL) {

-		$number			= PHPExcel_Calculation_Functions::flattenSingleValue($number);

-		$significance	= PHPExcel_Calculation_Functions::flattenSingleValue($significance);

-

-		if ((is_null($significance)) &&

-			(PHPExcel_Calculation_Functions::getCompatibilityMode() == PHPExcel_Calculation_Functions::COMPATIBILITY_GNUMERIC)) {

-			$significance = $number/abs($number);

-		}

-

-		if ((is_numeric($number)) && (is_numeric($significance))) {

-			if ($significance == 0.0) {

-				return 0.0;

-			} elseif (self::SIGN($number) == self::SIGN($significance)) {

-				return ceil($number / $significance) * $significance;

-			} else {

-				return PHPExcel_Calculation_Functions::NaN();

-			}

-		}

-		return PHPExcel_Calculation_Functions::VALUE();

-	}	//	function CEILING()

-

-

-	/**

-	 * COMBIN

-	 *

-	 * Returns the number of combinations for a given number of items. Use COMBIN to

-	 *		determine the total possible number of groups for a given number of items.

-	 *

-	 * Excel Function:

-	 *		COMBIN(numObjs,numInSet)

-	 *

-	 * @access	public

-	 * @category Mathematical and Trigonometric Functions

-	 * @param	int		$numObjs	Number of different objects

-	 * @param	int		$numInSet	Number of objects in each combination

-	 * @return	int		Number of combinations

-	 */

-	public static function COMBIN($numObjs, $numInSet) {

-		$numObjs	= PHPExcel_Calculation_Functions::flattenSingleValue($numObjs);

-		$numInSet	= PHPExcel_Calculation_Functions::flattenSingleValue($numInSet);

-

-		if ((is_numeric($numObjs)) && (is_numeric($numInSet))) {

-			if ($numObjs < $numInSet) {

-				return PHPExcel_Calculation_Functions::NaN();

-			} elseif ($numInSet < 0) {

-				return PHPExcel_Calculation_Functions::NaN();

-			}

-			return round(self::FACT($numObjs) / self::FACT($numObjs - $numInSet)) / self::FACT($numInSet);

-		}

-		return PHPExcel_Calculation_Functions::VALUE();

-	}	//	function COMBIN()

-

-

-	/**

-	 * EVEN

-	 *

-	 * Returns number rounded up to the nearest even integer.

-	 * You can use this function for processing items that come in twos. For example,

-	 *		a packing crate accepts rows of one or two items. The crate is full when

-	 *		the number of items, rounded up to the nearest two, matches the crate's

-	 *		capacity.

-	 *

-	 * Excel Function:

-	 *		EVEN(number)

-	 *

-	 * @access	public

-	 * @category Mathematical and Trigonometric Functions

-	 * @param	float	$number			Number to round

-	 * @return	int		Rounded Number

-	 */

-	public static function EVEN($number) {

-		$number	= PHPExcel_Calculation_Functions::flattenSingleValue($number);

-

-		if (is_null($number)) {

-			return 0;

-		} elseif (is_bool($number)) {

-			$number = (int) $number;

-		}

-

-		if (is_numeric($number)) {

-			$significance = 2 * self::SIGN($number);

-			return (int) self::CEILING($number,$significance);

-		}

-		return PHPExcel_Calculation_Functions::VALUE();

-	}	//	function EVEN()

-

-

-	/**

-	 * FACT

-	 *

-	 * Returns the factorial of a number.

-	 * The factorial of a number is equal to 1*2*3*...* number.

-	 *

-	 * Excel Function:

-	 *		FACT(factVal)

-	 *

-	 * @access	public

-	 * @category Mathematical and Trigonometric Functions

-	 * @param	float	$factVal	Factorial Value

-	 * @return	int		Factorial

-	 */

-	public static function FACT($factVal) {

-		$factVal	= PHPExcel_Calculation_Functions::flattenSingleValue($factVal);

-

-		if (is_numeric($factVal)) {

-			if ($factVal < 0) {

-				return PHPExcel_Calculation_Functions::NaN();

-			}

-			$factLoop = floor($factVal);

-			if (PHPExcel_Calculation_Functions::getCompatibilityMode() == PHPExcel_Calculation_Functions::COMPATIBILITY_GNUMERIC) {

-				if ($factVal > $factLoop) {

-					return PHPExcel_Calculation_Functions::NaN();

-				}

-			}

-

-			$factorial = 1;

-			while ($factLoop > 1) {

-				$factorial *= $factLoop--;

-			}

-			return $factorial ;

-		}

-		return PHPExcel_Calculation_Functions::VALUE();

-	}	//	function FACT()

-

-

-	/**

-	 * FACTDOUBLE

-	 *

-	 * Returns the double factorial of a number.

-	 *

-	 * Excel Function:

-	 *		FACTDOUBLE(factVal)

-	 *

-	 * @access	public

-	 * @category Mathematical and Trigonometric Functions

-	 * @param	float	$factVal	Factorial Value

-	 * @return	int		Double Factorial

-	 */

-	public static function FACTDOUBLE($factVal) {

-		$factLoop	= PHPExcel_Calculation_Functions::flattenSingleValue($factVal);

-

-		if (is_numeric($factLoop)) {

-			$factLoop	= floor($factLoop);

-			if ($factVal < 0) {

-				return PHPExcel_Calculation_Functions::NaN();

-			}

-			$factorial = 1;

-			while ($factLoop > 1) {

-				$factorial *= $factLoop--;

-				--$factLoop;

-			}

-			return $factorial ;

-		}

-		return PHPExcel_Calculation_Functions::VALUE();

-	}	//	function FACTDOUBLE()

-

-

-	/**

-	 * FLOOR

-	 *

-	 * Rounds number down, toward zero, to the nearest multiple of significance.

-	 *

-	 * Excel Function:

-	 *		FLOOR(number[,significance])

-	 *

-	 * @access	public

-	 * @category Mathematical and Trigonometric Functions

-	 * @param	float	$number			Number to round

-	 * @param	float	$significance	Significance

-	 * @return	float	Rounded Number

-	 */

-	public static function FLOOR($number, $significance = NULL) {

-		$number			= PHPExcel_Calculation_Functions::flattenSingleValue($number);

-		$significance	= PHPExcel_Calculation_Functions::flattenSingleValue($significance);

-

-		if ((is_null($significance)) && (PHPExcel_Calculation_Functions::getCompatibilityMode() == PHPExcel_Calculation_Functions::COMPATIBILITY_GNUMERIC)) {

-			$significance = $number/abs($number);

-		}

-

-		if ((is_numeric($number)) && (is_numeric($significance))) {

-			if ((float) $significance == 0.0) {

-				return PHPExcel_Calculation_Functions::DIV0();

-			}

-			if (self::SIGN($number) == self::SIGN($significance)) {

-				return floor($number / $significance) * $significance;

-			} else {

-				return PHPExcel_Calculation_Functions::NaN();

-			}

-		}

-		return PHPExcel_Calculation_Functions::VALUE();

-	}	//	function FLOOR()

-

-

-	/**

-	 * GCD

-	 *

-	 * Returns the greatest common divisor of a series of numbers.

-	 * The greatest common divisor is the largest integer that divides both

-	 *		number1 and number2 without a remainder.

-	 *

-	 * Excel Function:

-	 *		GCD(number1[,number2[, ...]])

-	 *

-	 * @access	public

-	 * @category Mathematical and Trigonometric Functions

-	 * @param	mixed	$arg,...		Data values

-	 * @return	integer					Greatest Common Divisor

-	 */

-	public static function GCD() {

-		$returnValue = 1;

-		$allValuesFactors = array();

-		// Loop through arguments

-		foreach(PHPExcel_Calculation_Functions::flattenArray(func_get_args()) as $value) {

-			if (!is_numeric($value)) {

-				return PHPExcel_Calculation_Functions::VALUE();

-			} elseif ($value == 0) {

-				continue;

-			} elseif($value < 0) {

-				return PHPExcel_Calculation_Functions::NaN();

-			}

-			$myFactors = self::_factors($value);

-			$myCountedFactors = array_count_values($myFactors);

-			$allValuesFactors[] = $myCountedFactors;

-		}

-		$allValuesCount = count($allValuesFactors);

-		if ($allValuesCount == 0) {

-			return 0;

-		}

-

-		$mergedArray = $allValuesFactors[0];

-		for ($i=1;$i < $allValuesCount; ++$i) {

-			$mergedArray = array_intersect_key($mergedArray,$allValuesFactors[$i]);

-		}

-		$mergedArrayValues = count($mergedArray);

-		if ($mergedArrayValues == 0) {

-			return $returnValue;

-		} elseif ($mergedArrayValues > 1) {

-			foreach($mergedArray as $mergedKey => $mergedValue) {

-				foreach($allValuesFactors as $highestPowerTest) {

-					foreach($highestPowerTest as $testKey => $testValue) {

-						if (($testKey == $mergedKey) && ($testValue < $mergedValue)) {

-							$mergedArray[$mergedKey] = $testValue;

-							$mergedValue = $testValue;

-						}

-					}

-				}

-			}

-

-			$returnValue = 1;

-			foreach($mergedArray as $key => $value) {

-				$returnValue *= pow($key,$value);

-			}

-			return $returnValue;

-		} else {

-			$keys = array_keys($mergedArray);

-			$key = $keys[0];

-			$value = $mergedArray[$key];

-			foreach($allValuesFactors as $testValue) {

-				foreach($testValue as $mergedKey => $mergedValue) {

-					if (($mergedKey == $key) && ($mergedValue < $value)) {

-						$value = $mergedValue;

-					}

-				}

-			}

-			return pow($key,$value);

-		}

-	}	//	function GCD()

-

-

-	/**

-	 * INT

-	 *

-	 * Casts a floating point value to an integer

-	 *

-	 * Excel Function:

-	 *		INT(number)

-	 *

-	 * @access	public

-	 * @category Mathematical and Trigonometric Functions

-	 * @param	float	$number			Number to cast to an integer

-	 * @return	integer	Integer value

-	 */

-	public static function INT($number) {

-		$number	= PHPExcel_Calculation_Functions::flattenSingleValue($number);

-

-		if (is_null($number)) {

-			return 0;

-		} elseif (is_bool($number)) {

-			return (int) $number;

-		}

-		if (is_numeric($number)) {

-			return (int) floor($number);

-		}

-		return PHPExcel_Calculation_Functions::VALUE();

-	}	//	function INT()

-

-

-	/**

-	 * LCM

-	 *

-	 * Returns the lowest common multiplier of a series of numbers

-	 * The least common multiple is the smallest positive integer that is a multiple

-	 * of all integer arguments number1, number2, and so on. Use LCM to add fractions

-	 * with different denominators.

-	 *

-	 * Excel Function:

-	 *		LCM(number1[,number2[, ...]])

-	 *

-	 * @access	public

-	 * @category Mathematical and Trigonometric Functions

-	 * @param	mixed	$arg,...		Data values

-	 * @return	int		Lowest Common Multiplier

-	 */

-	public static function LCM() {

-		$returnValue = 1;

-		$allPoweredFactors = array();

-		// Loop through arguments

-		foreach(PHPExcel_Calculation_Functions::flattenArray(func_get_args()) as $value) {

-			if (!is_numeric($value)) {

-				return PHPExcel_Calculation_Functions::VALUE();

-			}

-			if ($value == 0) {

-				return 0;

-			} elseif ($value < 0) {

-				return PHPExcel_Calculation_Functions::NaN();

-			}

-			$myFactors = self::_factors(floor($value));

-			$myCountedFactors = array_count_values($myFactors);

-			$myPoweredFactors = array();

-			foreach($myCountedFactors as $myCountedFactor => $myCountedPower) {

-				$myPoweredFactors[$myCountedFactor] = pow($myCountedFactor,$myCountedPower);

-			}

-			foreach($myPoweredFactors as $myPoweredValue => $myPoweredFactor) {

-				if (array_key_exists($myPoweredValue,$allPoweredFactors)) {

-					if ($allPoweredFactors[$myPoweredValue] < $myPoweredFactor) {

-						$allPoweredFactors[$myPoweredValue] = $myPoweredFactor;

-					}

-				} else {

-					$allPoweredFactors[$myPoweredValue] = $myPoweredFactor;

-				}

-			}

-		}

-		foreach($allPoweredFactors as $allPoweredFactor) {

-			$returnValue *= (integer) $allPoweredFactor;

-		}

-		return $returnValue;

-	}	//	function LCM()

-

-

-	/**

-	 * LOG_BASE

-	 *

-	 * Returns the logarithm of a number to a specified base. The default base is 10.

-	 *

-	 * Excel Function:

-	 *		LOG(number[,base])

-	 *

-	 * @access	public

-	 * @category Mathematical and Trigonometric Functions

-	 * @param	float	$value		The positive real number for which you want the logarithm

-	 * @param	float	$base		The base of the logarithm. If base is omitted, it is assumed to be 10.

-	 * @return	float

-	 */

-	public static function LOG_BASE($number = NULL, $base = 10) {

-		$number	= PHPExcel_Calculation_Functions::flattenSingleValue($number);

-		$base	= (is_null($base))	? 10 :	(float) PHPExcel_Calculation_Functions::flattenSingleValue($base);

-

-		if ((!is_numeric($base)) || (!is_numeric($number)))

-			return PHPExcel_Calculation_Functions::VALUE();

-		if (($base <= 0) || ($number <= 0))

-			return PHPExcel_Calculation_Functions::NaN();

-		return log($number, $base);

-	}	//	function LOG_BASE()

-

-

-	/**

-	 * MDETERM

-	 *

-	 * Returns the matrix determinant of an array.

-	 *

-	 * Excel Function:

-	 *		MDETERM(array)

-	 *

-	 * @access	public

-	 * @category Mathematical and Trigonometric Functions

-	 * @param	array	$matrixValues	A matrix of values

-	 * @return	float

-	 */

-	public static function MDETERM($matrixValues) {

-		$matrixData = array();

-		if (!is_array($matrixValues)) { $matrixValues = array(array($matrixValues)); }

-

-		$row = $maxColumn = 0;

-		foreach($matrixValues as $matrixRow) {

-			if (!is_array($matrixRow)) { $matrixRow = array($matrixRow); }

-			$column = 0;

-			foreach($matrixRow as $matrixCell) {

-				if ((is_string($matrixCell)) || ($matrixCell === null)) {

-					return PHPExcel_Calculation_Functions::VALUE();

-				}

-				$matrixData[$column][$row] = $matrixCell;

-				++$column;

-			}

-			if ($column > $maxColumn) { $maxColumn = $column; }

-			++$row;

-		}

-		if ($row != $maxColumn) { return PHPExcel_Calculation_Functions::VALUE(); }

-

-		try {

-			$matrix = new PHPExcel_Shared_JAMA_Matrix($matrixData);

-			return $matrix->det();

-		} catch (Exception $ex) {

-			return PHPExcel_Calculation_Functions::VALUE();

-		}

-	}	//	function MDETERM()

-

-

-	/**

-	 * MINVERSE

-	 *

-	 * Returns the inverse matrix for the matrix stored in an array.

-	 *

-	 * Excel Function:

-	 *		MINVERSE(array)

-	 *

-	 * @access	public

-	 * @category Mathematical and Trigonometric Functions

-	 * @param	array	$matrixValues	A matrix of values

-	 * @return	array

-	 */

-	public static function MINVERSE($matrixValues) {

-		$matrixData = array();

-		if (!is_array($matrixValues)) { $matrixValues = array(array($matrixValues)); }

-

-		$row = $maxColumn = 0;

-		foreach($matrixValues as $matrixRow) {

-			if (!is_array($matrixRow)) { $matrixRow = array($matrixRow); }

-			$column = 0;

-			foreach($matrixRow as $matrixCell) {

-				if ((is_string($matrixCell)) || ($matrixCell === null)) {

-					return PHPExcel_Calculation_Functions::VALUE();

-				}

-				$matrixData[$column][$row] = $matrixCell;

-				++$column;

-			}

-			if ($column > $maxColumn) { $maxColumn = $column; }

-			++$row;

-		}

-		if ($row != $maxColumn) { return PHPExcel_Calculation_Functions::VALUE(); }

-

-		try {

-			$matrix = new PHPExcel_Shared_JAMA_Matrix($matrixData);

-			return $matrix->inverse()->getArray();

-		} catch (Exception $ex) {

-			return PHPExcel_Calculation_Functions::VALUE();

-		}

-	}	//	function MINVERSE()

-

-

-	/**

-	 * MMULT

-	 *

-	 * @param	array	$matrixData1	A matrix of values

-	 * @param	array	$matrixData2	A matrix of values

-	 * @return	array

-	 */

-	public static function MMULT($matrixData1,$matrixData2) {

-		$matrixAData = $matrixBData = array();

-		if (!is_array($matrixData1)) { $matrixData1 = array(array($matrixData1)); }

-		if (!is_array($matrixData2)) { $matrixData2 = array(array($matrixData2)); }

-

-		$rowA = 0;

-		foreach($matrixData1 as $matrixRow) {

-			if (!is_array($matrixRow)) { $matrixRow = array($matrixRow); }

-			$columnA = 0;

-			foreach($matrixRow as $matrixCell) {

-				if ((is_string($matrixCell)) || ($matrixCell === null)) {

-					return PHPExcel_Calculation_Functions::VALUE();

-				}

-				$matrixAData[$rowA][$columnA] = $matrixCell;

-				++$columnA;

-			}

-			++$rowA;

-		}

-		try {

-			$matrixA = new PHPExcel_Shared_JAMA_Matrix($matrixAData);

-			$rowB = 0;

-			foreach($matrixData2 as $matrixRow) {

-				if (!is_array($matrixRow)) { $matrixRow = array($matrixRow); }

-				$columnB = 0;

-				foreach($matrixRow as $matrixCell) {

-					if ((is_string($matrixCell)) || ($matrixCell === null)) {

-						return PHPExcel_Calculation_Functions::VALUE();

-					}

-					$matrixBData[$rowB][$columnB] = $matrixCell;

-					++$columnB;

-				}

-				++$rowB;

-			}

-			$matrixB = new PHPExcel_Shared_JAMA_Matrix($matrixBData);

-

-			if (($rowA != $columnB) || ($rowB != $columnA)) {

-				return PHPExcel_Calculation_Functions::VALUE();

-			}

-

-			return $matrixA->times($matrixB)->getArray();

-		} catch (Exception $ex) {

-			return PHPExcel_Calculation_Functions::VALUE();

-		}

-	}	//	function MMULT()

-

-

-	/**

-	 * MOD

-	 *

-	 * @param	int		$a		Dividend

-	 * @param	int		$b		Divisor

-	 * @return	int		Remainder

-	 */

-	public static function MOD($a = 1, $b = 1) {

-		$a		= PHPExcel_Calculation_Functions::flattenSingleValue($a);

-		$b		= PHPExcel_Calculation_Functions::flattenSingleValue($b);

-

-		if ($b == 0.0) {

-			return PHPExcel_Calculation_Functions::DIV0();

-		} elseif (($a < 0.0) && ($b > 0.0)) {

-			return $b - fmod(abs($a),$b);

-		} elseif (($a > 0.0) && ($b < 0.0)) {

-			return $b + fmod($a,abs($b));

-		}

-

-		return fmod($a,$b);

-	}	//	function MOD()

-

-

-	/**

-	 * MROUND

-	 *

-	 * Rounds a number to the nearest multiple of a specified value

-	 *

-	 * @param	float	$number			Number to round

-	 * @param	int		$multiple		Multiple to which you want to round $number

-	 * @return	float	Rounded Number

-	 */

-	public static function MROUND($number,$multiple) {

-		$number		= PHPExcel_Calculation_Functions::flattenSingleValue($number);

-		$multiple	= PHPExcel_Calculation_Functions::flattenSingleValue($multiple);

-

-		if ((is_numeric($number)) && (is_numeric($multiple))) {

-			if ($multiple == 0) {

-				return 0;

-			}

-			if ((self::SIGN($number)) == (self::SIGN($multiple))) {

-				$multiplier = 1 / $multiple;

-				return round($number * $multiplier) / $multiplier;

-			}

-			return PHPExcel_Calculation_Functions::NaN();

-		}

-		return PHPExcel_Calculation_Functions::VALUE();

-	}	//	function MROUND()

-

-

-	/**

-	 * MULTINOMIAL

-	 *

-	 * Returns the ratio of the factorial of a sum of values to the product of factorials.

-	 *

-	 * @param	array of mixed		Data Series

-	 * @return	float

-	 */

-	public static function MULTINOMIAL() {

-		$summer = 0;

-		$divisor = 1;

-		// Loop through arguments

-		foreach (PHPExcel_Calculation_Functions::flattenArray(func_get_args()) as $arg) {

-			// Is it a numeric value?

-			if (is_numeric($arg)) {

-				if ($arg < 1) {

-					return PHPExcel_Calculation_Functions::NaN();

-				}

-				$summer += floor($arg);

-				$divisor *= self::FACT($arg);

-			} else {

-				return PHPExcel_Calculation_Functions::VALUE();

-			}

-		}

-

-		// Return

-		if ($summer > 0) {

-			$summer = self::FACT($summer);

-			return $summer / $divisor;

-		}

-		return 0;

-	}	//	function MULTINOMIAL()

-

-

-	/**

-	 * ODD

-	 *

-	 * Returns number rounded up to the nearest odd integer.

-	 *

-	 * @param	float	$number			Number to round

-	 * @return	int		Rounded Number

-	 */

-	public static function ODD($number) {

-		$number	= PHPExcel_Calculation_Functions::flattenSingleValue($number);

-

-		if (is_null($number)) {

-			return 1;

-		} elseif (is_bool($number)) {

-			$number = (int) $number;

-		}

-

-		if (is_numeric($number)) {

-			$significance = self::SIGN($number);

-			if ($significance == 0) {

-				return 1;

-			}

-

-			$result = self::CEILING($number,$significance);

-			if ($result == self::EVEN($result)) {

-				$result += $significance;

-			}

-

-			return (int) $result;

-		}

-		return PHPExcel_Calculation_Functions::VALUE();

-	}	//	function ODD()

-

-

-	/**

-	 * POWER

-	 *

-	 * Computes x raised to the power y.

-	 *

-	 * @param	float		$x

-	 * @param	float		$y

-	 * @return	float

-	 */

-	public static function POWER($x = 0, $y = 2) {

-		$x	= PHPExcel_Calculation_Functions::flattenSingleValue($x);

-		$y	= PHPExcel_Calculation_Functions::flattenSingleValue($y);

-

-		// Validate parameters

-		if ($x == 0.0 && $y == 0.0) {

-			return PHPExcel_Calculation_Functions::NaN();

-		} elseif ($x == 0.0 && $y < 0.0) {

-			return PHPExcel_Calculation_Functions::DIV0();

-		}

-

-		// Return

-		$result = pow($x, $y);

-		return (!is_nan($result) && !is_infinite($result)) ? $result : PHPExcel_Calculation_Functions::NaN();

-	}	//	function POWER()

-

-

-	/**

-	 * PRODUCT

-	 *

-	 * PRODUCT returns the product of all the values and cells referenced in the argument list.

-	 *

-	 * Excel Function:

-	 *		PRODUCT(value1[,value2[, ...]])

-	 *

-	 * @access	public

-	 * @category Mathematical and Trigonometric Functions

-	 * @param	mixed		$arg,...		Data values

-	 * @return	float

-	 */

-	public static function PRODUCT() {

-		// Return value

-		$returnValue = null;

-

-		// Loop through arguments

-		foreach (PHPExcel_Calculation_Functions::flattenArray(func_get_args()) as $arg) {

-			// Is it a numeric value?

-			if ((is_numeric($arg)) && (!is_string($arg))) {

-				if (is_null($returnValue)) {

-					$returnValue = $arg;

-				} else {

-					$returnValue *= $arg;

-				}

-			}

-		}

-

-		// Return

-		if (is_null($returnValue)) {

-			return 0;

-		}

-		return $returnValue;

-	}	//	function PRODUCT()

-

-

-	/**

-	 * QUOTIENT

-	 *

-	 * QUOTIENT function returns the integer portion of a division. Numerator is the divided number

-	 *		and denominator is the divisor.

-	 *

-	 * Excel Function:

-	 *		QUOTIENT(value1[,value2[, ...]])

-	 *

-	 * @access	public

-	 * @category Mathematical and Trigonometric Functions

-	 * @param	mixed		$arg,...		Data values

-	 * @return	float

-	 */

-	public static function QUOTIENT() {

-		// Return value

-		$returnValue = null;

-

-		// Loop through arguments

-		foreach (PHPExcel_Calculation_Functions::flattenArray(func_get_args()) as $arg) {

-			// Is it a numeric value?

-			if ((is_numeric($arg)) && (!is_string($arg))) {

-				if (is_null($returnValue)) {

-					$returnValue = ($arg == 0) ? 0 : $arg;

-				} else {

-					if (($returnValue == 0) || ($arg == 0)) {

-						$returnValue = 0;

-					} else {

-						$returnValue /= $arg;

-					}

-				}

-			}

-		}

-

-		// Return

-		return intval($returnValue);

-	}	//	function QUOTIENT()

-

-

-	/**

-	 * RAND

-	 *

-	 * @param	int		$min	Minimal value

-	 * @param	int		$max	Maximal value

-	 * @return	int		Random number

-	 */

-	public static function RAND($min = 0, $max = 0) {

-		$min		= PHPExcel_Calculation_Functions::flattenSingleValue($min);

-		$max		= PHPExcel_Calculation_Functions::flattenSingleValue($max);

-

-		if ($min == 0 && $max == 0) {

-			return (rand(0,10000000)) / 10000000;

-		} else {

-			return rand($min, $max);

-		}

-	}	//	function RAND()

-

-

-	public static function ROMAN($aValue, $style=0) {

-		$aValue	= PHPExcel_Calculation_Functions::flattenSingleValue($aValue);

-		$style	= (is_null($style))	? 0 :	(integer) PHPExcel_Calculation_Functions::flattenSingleValue($style);

-		if ((!is_numeric($aValue)) || ($aValue < 0) || ($aValue >= 4000)) {

-			return PHPExcel_Calculation_Functions::VALUE();

-		}

-		$aValue = (integer) $aValue;

-		if ($aValue == 0) {

-			return '';

-		}

-

-		$mill = Array('', 'M', 'MM', 'MMM', 'MMMM', 'MMMMM');

-		$cent = Array('', 'C', 'CC', 'CCC', 'CD', 'D', 'DC', 'DCC', 'DCCC', 'CM');

-		$tens = Array('', 'X', 'XX', 'XXX', 'XL', 'L', 'LX', 'LXX', 'LXXX', 'XC');

-		$ones = Array('', 'I', 'II', 'III', 'IV', 'V', 'VI', 'VII', 'VIII', 'IX');

-

-		$roman = '';

-		while ($aValue > 5999) {

-			$roman .= 'M';

-			$aValue -= 1000;

-		}

-		$m = self::_romanCut($aValue, 1000);	$aValue %= 1000;

-		$c = self::_romanCut($aValue, 100);		$aValue %= 100;

-		$t = self::_romanCut($aValue, 10);		$aValue %= 10;

-

-		return $roman.$mill[$m].$cent[$c].$tens[$t].$ones[$aValue];

-	}	//	function ROMAN()

-

-

-	/**

-	 * ROUNDUP

-	 *

-	 * Rounds a number up to a specified number of decimal places

-	 *

-	 * @param	float	$number			Number to round

-	 * @param	int		$digits			Number of digits to which you want to round $number

-	 * @return	float	Rounded Number

-	 */

-	public static function ROUNDUP($number,$digits) {

-		$number	= PHPExcel_Calculation_Functions::flattenSingleValue($number);

-		$digits	= PHPExcel_Calculation_Functions::flattenSingleValue($digits);

-

-		if ((is_numeric($number)) && (is_numeric($digits))) {

-			$significance = pow(10,(int) $digits);

-			if ($number < 0.0) {

-				return floor($number * $significance) / $significance;

-			} else {

-				return ceil($number * $significance) / $significance;

-			}

-		}

-		return PHPExcel_Calculation_Functions::VALUE();

-	}	//	function ROUNDUP()

-

-

-	/**

-	 * ROUNDDOWN

-	 *

-	 * Rounds a number down to a specified number of decimal places

-	 *

-	 * @param	float	$number			Number to round

-	 * @param	int		$digits			Number of digits to which you want to round $number

-	 * @return	float	Rounded Number

-	 */

-	public static function ROUNDDOWN($number,$digits) {

-		$number	= PHPExcel_Calculation_Functions::flattenSingleValue($number);

-		$digits	= PHPExcel_Calculation_Functions::flattenSingleValue($digits);

-

-		if ((is_numeric($number)) && (is_numeric($digits))) {

-			$significance = pow(10,(int) $digits);

-			if ($number < 0.0) {

-				return ceil($number * $significance) / $significance;

-			} else {

-				return floor($number * $significance) / $significance;

-			}

-		}

-		return PHPExcel_Calculation_Functions::VALUE();

-	}	//	function ROUNDDOWN()

-

-

-	/**

-	 * SERIESSUM

-	 *

-	 * Returns the sum of a power series

-	 *

-	 * @param	float			$x	Input value to the power series

-	 * @param	float			$n	Initial power to which you want to raise $x

-	 * @param	float			$m	Step by which to increase $n for each term in the series

-	 * @param	array of mixed		Data Series

-	 * @return	float

-	 */

-	public static function SERIESSUM() {

-		// Return value

-		$returnValue = 0;

-

-		// Loop through arguments

-		$aArgs = PHPExcel_Calculation_Functions::flattenArray(func_get_args());

-

-		$x = array_shift($aArgs);

-		$n = array_shift($aArgs);

-		$m = array_shift($aArgs);

-

-		if ((is_numeric($x)) && (is_numeric($n)) && (is_numeric($m))) {

-			// Calculate

-			$i = 0;

-			foreach($aArgs as $arg) {

-				// Is it a numeric value?

-				if ((is_numeric($arg)) && (!is_string($arg))) {

-					$returnValue += $arg * pow($x,$n + ($m * $i++));

-				} else {

-					return PHPExcel_Calculation_Functions::VALUE();

-				}

-			}

-			// Return

-			return $returnValue;

-		}

-		return PHPExcel_Calculation_Functions::VALUE();

-	}	//	function SERIESSUM()

-

-

-	/**

-	 * SIGN

-	 *

-	 * Determines the sign of a number. Returns 1 if the number is positive, zero (0)

-	 *		if the number is 0, and -1 if the number is negative.

-	 *

-	 * @param	float	$number			Number to round

-	 * @return	int		sign value

-	 */

-	public static function SIGN($number) {

-		$number	= PHPExcel_Calculation_Functions::flattenSingleValue($number);

-

-		if (is_bool($number))

-			return (int) $number;

-		if (is_numeric($number)) {

-			if ($number == 0.0) {

-				return 0;

-			}

-			return $number / abs($number);

-		}

-		return PHPExcel_Calculation_Functions::VALUE();

-	}	//	function SIGN()

-

-

-	/**

-	 * SQRTPI

-	 *

-	 * Returns the square root of (number * pi).

-	 *

-	 * @param	float	$number		Number

-	 * @return	float	Square Root of Number * Pi

-	 */

-	public static function SQRTPI($number) {

-		$number	= PHPExcel_Calculation_Functions::flattenSingleValue($number);

-

-		if (is_numeric($number)) {

-			if ($number < 0) {

-				return PHPExcel_Calculation_Functions::NaN();

-			}

-			return sqrt($number * M_PI) ;

-		}

-		return PHPExcel_Calculation_Functions::VALUE();

-	}	//	function SQRTPI()

-

-

-	/**

-	 * SUBTOTAL

-	 *

-	 * Returns a subtotal in a list or database.

-	 *

-	 * @param	int		the number 1 to 11 that specifies which function to

-	 *					use in calculating subtotals within a list.

-	 * @param	array of mixed		Data Series

-	 * @return	float

-	 */

-	public static function SUBTOTAL() {

-		$aArgs = PHPExcel_Calculation_Functions::flattenArray(func_get_args());

-

-		// Calculate

-		$subtotal = array_shift($aArgs);

-

-		if ((is_numeric($subtotal)) && (!is_string($subtotal))) {

-			switch($subtotal) {

-				case 1	:

-					return PHPExcel_Calculation_Statistical::AVERAGE($aArgs);

-					break;

-				case 2	:

-					return PHPExcel_Calculation_Statistical::COUNT($aArgs);

-					break;

-				case 3	:

-					return PHPExcel_Calculation_Statistical::COUNTA($aArgs);

-					break;

-				case 4	:

-					return PHPExcel_Calculation_Statistical::MAX($aArgs);

-					break;

-				case 5	:

-					return PHPExcel_Calculation_Statistical::MIN($aArgs);

-					break;

-				case 6	:

-					return self::PRODUCT($aArgs);

-					break;

-				case 7	:

-					return PHPExcel_Calculation_Statistical::STDEV($aArgs);

-					break;

-				case 8	:

-					return PHPExcel_Calculation_Statistical::STDEVP($aArgs);

-					break;

-				case 9	:

-					return self::SUM($aArgs);

-					break;

-				case 10	:

-					return PHPExcel_Calculation_Statistical::VARFunc($aArgs);

-					break;

-				case 11	:

-					return PHPExcel_Calculation_Statistical::VARP($aArgs);

-					break;

-			}

-		}

-		return PHPExcel_Calculation_Functions::VALUE();

-	}	//	function SUBTOTAL()

-

-

-	/**

-	 * SUM

-	 *

-	 * SUM computes the sum of all the values and cells referenced in the argument list.

-	 *

-	 * Excel Function:

-	 *		SUM(value1[,value2[, ...]])

-	 *

-	 * @access	public

-	 * @category Mathematical and Trigonometric Functions

-	 * @param	mixed		$arg,...		Data values

-	 * @return	float

-	 */

-	public static function SUM() {

-		// Return value

-		$returnValue = 0;

-

-		// Loop through the arguments

-		foreach (PHPExcel_Calculation_Functions::flattenArray(func_get_args()) as $arg) {

-			// Is it a numeric value?

-			if ((is_numeric($arg)) && (!is_string($arg))) {

-				$returnValue += $arg;

-			}

-		}

-

-		// Return

-		return $returnValue;

-	}	//	function SUM()

-

-

-	/**

-	 * SUMIF

-	 *

-	 * Counts the number of cells that contain numbers within the list of arguments

-	 *

-	 * Excel Function:

-	 *		SUMIF(value1[,value2[, ...]],condition)

-	 *

-	 * @access	public

-	 * @category Mathematical and Trigonometric Functions

-	 * @param	mixed		$arg,...		Data values

-	 * @param	string		$condition		The criteria that defines which cells will be summed.

-	 * @return	float

-	 */

-	public static function SUMIF($aArgs,$condition,$sumArgs = array()) {

-		// Return value

-		$returnValue = 0;

-

-		$aArgs = PHPExcel_Calculation_Functions::flattenArray($aArgs);

-		$sumArgs = PHPExcel_Calculation_Functions::flattenArray($sumArgs);

-		if (empty($sumArgs)) {

-			$sumArgs = $aArgs;

-		}

-		$condition = PHPExcel_Calculation_Functions::_ifCondition($condition);

-		// Loop through arguments

-		foreach ($aArgs as $key => $arg) {

-			if (!is_numeric($arg)) { $arg = PHPExcel_Calculation::_wrapResult(strtoupper($arg)); }

-			$testCondition = '='.$arg.$condition;

-			if (PHPExcel_Calculation::getInstance()->_calculateFormulaValue($testCondition)) {

-				// Is it a value within our criteria

-				$returnValue += $sumArgs[$key];

-			}

-		}

-

-		// Return

-		return $returnValue;

-	}	//	function SUMIF()

-

-

-	/**

-	 * SUMPRODUCT

-	 *

-	 * Excel Function:

-	 *		SUMPRODUCT(value1[,value2[, ...]])

-	 *

-	 * @access	public

-	 * @category Mathematical and Trigonometric Functions

-	 * @param	mixed		$arg,...		Data values

-	 * @return	float

-	 */

-	public static function SUMPRODUCT() {

-		$arrayList = func_get_args();

-

-		$wrkArray = PHPExcel_Calculation_Functions::flattenArray(array_shift($arrayList));

-		$wrkCellCount = count($wrkArray);

-

-		for ($i=0; $i< $wrkCellCount; ++$i) {

-			if ((!is_numeric($wrkArray[$i])) || (is_string($wrkArray[$i]))) {

-				$wrkArray[$i] = 0;

-			}

-		}

-

-		foreach($arrayList as $matrixData) {

-			$array2 = PHPExcel_Calculation_Functions::flattenArray($matrixData);

-			$count = count($array2);

-			if ($wrkCellCount != $count) {

-				return PHPExcel_Calculation_Functions::VALUE();

-			}

-

-			foreach ($array2 as $i => $val) {

-				if ((!is_numeric($val)) || (is_string($val))) {

-					$val = 0;

-				}

-				$wrkArray[$i] *= $val;

-			}

-		}

-

-		return array_sum($wrkArray);

-	}	//	function SUMPRODUCT()

-

-

-	/**

-	 * SUMSQ

-	 *

-	 * SUMSQ returns the sum of the squares of the arguments

-	 *

-	 * Excel Function:

-	 *		SUMSQ(value1[,value2[, ...]])

-	 *

-	 * @access	public

-	 * @category Mathematical and Trigonometric Functions

-	 * @param	mixed		$arg,...		Data values

-	 * @return	float

-	 */

-	public static function SUMSQ() {

-		// Return value

-		$returnValue = 0;

-

-		// Loop through arguments

-		foreach (PHPExcel_Calculation_Functions::flattenArray(func_get_args()) as $arg) {

-			// Is it a numeric value?

-			if ((is_numeric($arg)) && (!is_string($arg))) {

-				$returnValue += ($arg * $arg);

-			}

-		}

-

-		// Return

-		return $returnValue;

-	}	//	function SUMSQ()

-

-

-	/**

-	 * SUMX2MY2

-	 *

-	 * @param	mixed	$value	Value to check

-	 * @return	float

-	 */

-	public static function SUMX2MY2($matrixData1,$matrixData2) {

-		$array1 = PHPExcel_Calculation_Functions::flattenArray($matrixData1);

-		$array2 = PHPExcel_Calculation_Functions::flattenArray($matrixData2);

-		$count1 = count($array1);

-		$count2 = count($array2);

-		if ($count1 < $count2) {

-			$count = $count1;

-		} else {

-			$count = $count2;

-		}

-

-		$result = 0;

-		for ($i = 0; $i < $count; ++$i) {

-			if (((is_numeric($array1[$i])) && (!is_string($array1[$i]))) &&

-				((is_numeric($array2[$i])) && (!is_string($array2[$i])))) {

-				$result += ($array1[$i] * $array1[$i]) - ($array2[$i] * $array2[$i]);

-			}

-		}

-

-		return $result;

-	}	//	function SUMX2MY2()

-

-

-	/**

-	 * SUMX2PY2

-	 *

-	 * @param	mixed	$value	Value to check

-	 * @return	float

-	 */

-	public static function SUMX2PY2($matrixData1,$matrixData2) {

-		$array1 = PHPExcel_Calculation_Functions::flattenArray($matrixData1);

-		$array2 = PHPExcel_Calculation_Functions::flattenArray($matrixData2);

-		$count1 = count($array1);

-		$count2 = count($array2);

-		if ($count1 < $count2) {

-			$count = $count1;

-		} else {

-			$count = $count2;

-		}

-

-		$result = 0;

-		for ($i = 0; $i < $count; ++$i) {

-			if (((is_numeric($array1[$i])) && (!is_string($array1[$i]))) &&

-				((is_numeric($array2[$i])) && (!is_string($array2[$i])))) {

-				$result += ($array1[$i] * $array1[$i]) + ($array2[$i] * $array2[$i]);

-			}

-		}

-

-		return $result;

-	}	//	function SUMX2PY2()

-

-

-	/**

-	 * SUMXMY2

-	 *

-	 * @param	mixed	$value	Value to check

-	 * @return	float

-	 */

-	public static function SUMXMY2($matrixData1,$matrixData2) {

-		$array1 = PHPExcel_Calculation_Functions::flattenArray($matrixData1);

-		$array2 = PHPExcel_Calculation_Functions::flattenArray($matrixData2);

-		$count1 = count($array1);

-		$count2 = count($array2);

-		if ($count1 < $count2) {

-			$count = $count1;

-		} else {

-			$count = $count2;

-		}

-

-		$result = 0;

-		for ($i = 0; $i < $count; ++$i) {

-			if (((is_numeric($array1[$i])) && (!is_string($array1[$i]))) &&

-				((is_numeric($array2[$i])) && (!is_string($array2[$i])))) {

-				$result += ($array1[$i] - $array2[$i]) * ($array1[$i] - $array2[$i]);

-			}

-		}

-

-		return $result;

-	}	//	function SUMXMY2()

-

-

-	/**

-	 * TRUNC

-	 *

-	 * Truncates value to the number of fractional digits by number_digits.

-	 *

-	 * @param	float		$value

-	 * @param	int			$digits

-	 * @return	float		Truncated value

-	 */

-	public static function TRUNC($value = 0, $digits = 0) {

-		$value	= PHPExcel_Calculation_Functions::flattenSingleValue($value);

-		$digits	= PHPExcel_Calculation_Functions::flattenSingleValue($digits);

-

-		// Validate parameters

-		if ((!is_numeric($value)) || (!is_numeric($digits)))

-			return PHPExcel_Calculation_Functions::VALUE();

-		$digits	= floor($digits);

-

-		// Truncate

-		$adjust = pow(10, $digits);

-

-		if (($digits > 0) && (rtrim(intval((abs($value) - abs(intval($value))) * $adjust),'0') < $adjust/10))

-			return $value;

-

-		return (intval($value * $adjust)) / $adjust;

-	}	//	function TRUNC()

-

-}	//	class PHPExcel_Calculation_MathTrig