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<?php
/** PHPExcel root directory */
if (!defined('PHPEXCEL_ROOT')) {
/**
* @ignore
*/
define('PHPEXCEL_ROOT', dirname(__FILE__) . '/../../');
require(PHPEXCEL_ROOT . 'PHPExcel/Autoloader.php');
}
/**
* PHPExcel_Calculation_MathTrig
*
* 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_Calculation
* @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 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) $value);
}
}
private static function romanCut($num, $n)
{
return ($num - ($num % $n ) ) / $n;
}
/**
* 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();
}
/**
* 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 (($number == 0.0 ) || ($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();
}
/**
* 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();
}
/**
* 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();
}
/**
* 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();
}
/**
* 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();
}
/**
* 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 ($significance == 0.0) {
return PHPExcel_Calculation_Functions::DIV0();
} elseif ($number == 0.0) {
return 0.0;
} elseif (self::SIGN($number) == self::SIGN($significance)) {
return floor($number / $significance) * $significance;
} else {
return PHPExcel_Calculation_Functions::NaN();
}
}
return PHPExcel_Calculation_Functions::VALUE();
}
/**
* 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);
}
}
/**
* 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();
}
/**
* 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;
}
/**
* 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 $number 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);
}
/**
* 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 (PHPExcel_Exception $ex) {
return PHPExcel_Calculation_Functions::VALUE();
}
}
/**
* 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 (PHPExcel_Exception $ex) {
return PHPExcel_Calculation_Functions::VALUE();
}
}
/**
* 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));
}
try {
$rowA = 0;
foreach ($matrixData1 as $matrixRow) {
if (!is_array($matrixRow)) {
$matrixRow = array($matrixRow);
}
$columnA = 0;
foreach ($matrixRow as $matrixCell) {
if ((!is_numeric($matrixCell)) || ($matrixCell === null)) {
return PHPExcel_Calculation_Functions::VALUE();
}
$matrixAData[$rowA][$columnA] = $matrixCell;
++$columnA;
}
++$rowA;
}
$matrixA = new PHPExcel_Shared_JAMA_Matrix($matrixAData);
$rowB = 0;
foreach ($matrixData2 as $matrixRow) {
if (!is_array($matrixRow)) {
$matrixRow = array($matrixRow);
}
$columnB = 0;
foreach ($matrixRow as $matrixCell) {
if ((!is_numeric($matrixCell)) || ($matrixCell === null)) {
return PHPExcel_Calculation_Functions::VALUE();
}
$matrixBData[$rowB][$columnB] = $matrixCell;
++$columnB;
}
++$rowB;
}
$matrixB = new PHPExcel_Shared_JAMA_Matrix($matrixBData);
if ($columnA != $rowB) {
return PHPExcel_Calculation_Functions::VALUE();
}
return $matrixA->times($matrixB)->getArray();
} catch (PHPExcel_Exception $ex) {
var_dump($ex->getMessage());
return PHPExcel_Calculation_Functions::VALUE();
}
}
/**
* 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);
}
/**
* 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();
}
/**
* 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;
}
/**
* 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)) {
return 1;
} elseif (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();
}
/**
* 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();
}
/**
* 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;
}
/**
* 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);
}
/**
* 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 && $max == 0) {
return (mt_rand(0, 10000000)) / 10000000;
} else {
return mt_rand($min, $max);
}
}
public static function ROMAN($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];
}
/**
* 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();
}
/**
* 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();
}
/**
* 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()
{
$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 $returnValue;
}
return PHPExcel_Calculation_Functions::VALUE();
}
/**
* 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();
}
/**
* 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();
}
/**
* 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);
case 2:
return PHPExcel_Calculation_Statistical::COUNT($aArgs);
case 3:
return PHPExcel_Calculation_Statistical::COUNTA($aArgs);
case 4:
return PHPExcel_Calculation_Statistical::MAX($aArgs);
case 5:
return PHPExcel_Calculation_Statistical::MIN($aArgs);
case 6:
return self::PRODUCT($aArgs);
case 7:
return PHPExcel_Calculation_Statistical::STDEV($aArgs);
case 8:
return PHPExcel_Calculation_Statistical::STDEVP($aArgs);
case 9:
return self::SUM($aArgs);
case 10:
return PHPExcel_Calculation_Statistical::VARFunc($aArgs);
case 11:
return PHPExcel_Calculation_Statistical::VARP($aArgs);
}
}
return PHPExcel_Calculation_Functions::VALUE();
}
/**
* 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()
{
$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 $returnValue;
}
/**
* 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())
{
$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 = str_replace('"', '""', $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 $returnValue;
}
/**
* SUMIFS
*
* Counts the number of cells that contain numbers within the list of arguments
*
* Excel Function:
* SUMIFS(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 SUMIFS() {
$arrayList = func_get_args();
$sumArgs = PHPExcel_Calculation_Functions::flattenArray(array_shift($arrayList));
while (count($arrayList) > 0) {
$aArgsArray[] = PHPExcel_Calculation_Functions::flattenArray(array_shift($arrayList));
$conditions[] = PHPExcel_Calculation_Functions::ifCondition(array_shift($arrayList));
}
// Loop through each set of arguments and conditions
foreach ($conditions as $index => $condition) {
$aArgs = $aArgsArray[$index];
$wildcard = false;
if ((strpos($condition, '*') !== false) || (strpos($condition, '?') !== false)) {
// * and ? are wildcard characters.
// Use ~* and ~? for literal star and question mark
// Code logic doesn't yet handle escaping
$condition = trim(ltrim($condition, '=<>'), '"');
$wildcard = true;
}
// Loop through arguments
foreach ($aArgs as $key => $arg) {
if ($wildcard) {
if (!fnmatch($condition, $arg, FNM_CASEFOLD)) {
// Is it a value within our criteria
$sumArgs[$key] = 0.0;
}
} else {
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
$sumArgs[$key] = 0.0;
}
}
}
}
// Return
return array_sum($sumArgs);
}
/**
* 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);
}
/**
* 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()
{
$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 $returnValue;
}
/**
* SUMX2MY2
*
* @param mixed[] $matrixData1 Matrix #1
* @param mixed[] $matrixData2 Matrix #2
* @return float
*/
public static function SUMX2MY2($matrixData1, $matrixData2)
{
$array1 = PHPExcel_Calculation_Functions::flattenArray($matrixData1);
$array2 = PHPExcel_Calculation_Functions::flattenArray($matrixData2);
$count = min(count($array1), count($array2));
$result = 0;
for ($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;
}
/**
* SUMX2PY2
*
* @param mixed[] $matrixData1 Matrix #1
* @param mixed[] $matrixData2 Matrix #2
* @return float
*/
public static function SUMX2PY2($matrixData1, $matrixData2)
{
$array1 = PHPExcel_Calculation_Functions::flattenArray($matrixData1);
$array2 = PHPExcel_Calculation_Functions::flattenArray($matrixData2);
$count = min(count($array1), count($array2));
$result = 0;
for ($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;
}
/**
* SUMXMY2
*
* @param mixed[] $matrixData1 Matrix #1
* @param mixed[] $matrixData2 Matrix #2
* @return float
*/
public static function SUMXMY2($matrixData1, $matrixData2)
{
$array1 = PHPExcel_Calculation_Functions::flattenArray($matrixData1);
$array2 = PHPExcel_Calculation_Functions::flattenArray($matrixData2);
$count = min(count($array1), count($array2));
$result = 0;
for ($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;
}
/**
* 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;
}
}
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