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1816 lines
52 KiB
1816 lines
52 KiB
<?php
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namespace PhpOffice\PhpSpreadsheet\Calculation;
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use Exception;
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use Matrix\Exception as MatrixException;
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use Matrix\Matrix;
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class MathTrig
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{
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//
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// Private method to return an array of the factors of the input value
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//
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private static function factors($value)
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{
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$startVal = floor(sqrt($value));
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$factorArray = [];
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for ($i = $startVal; $i > 1; --$i) {
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if (($value % $i) == 0) {
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$factorArray = array_merge($factorArray, self::factors($value / $i));
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$factorArray = array_merge($factorArray, self::factors($i));
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if ($i <= sqrt($value)) {
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break;
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}
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}
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}
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if (!empty($factorArray)) {
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rsort($factorArray);
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return $factorArray;
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}
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return [(int) $value];
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}
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private static function romanCut($num, $n)
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{
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return ($num - ($num % $n)) / $n;
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}
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/**
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* ARABIC.
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*
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* Converts a Roman numeral to an Arabic numeral.
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*
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* Excel Function:
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* ARABIC(text)
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*
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* @param string $roman
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*
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* @return int|string the arabic numberal contrived from the roman numeral
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*/
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public static function ARABIC($roman)
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{
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// An empty string should return 0
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$roman = substr(trim(strtoupper((string) Functions::flattenSingleValue($roman))), 0, 255);
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if ($roman === '') {
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return 0;
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}
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// Convert the roman numeral to an arabic number
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$negativeNumber = $roman[0] === '-';
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if ($negativeNumber) {
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$roman = substr($roman, 1);
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}
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try {
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$arabic = self::calculateArabic(str_split($roman));
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} catch (Exception $e) {
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return Functions::VALUE(); // Invalid character detected
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}
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if ($negativeNumber) {
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$arabic *= -1; // The number should be negative
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}
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return $arabic;
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}
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/**
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* Recursively calculate the arabic value of a roman numeral.
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*
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* @param int $sum
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* @param int $subtract
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*
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* @return int
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*/
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protected static function calculateArabic(array $roman, &$sum = 0, $subtract = 0)
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{
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$lookup = [
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'M' => 1000,
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'D' => 500,
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'C' => 100,
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'L' => 50,
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'X' => 10,
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'V' => 5,
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'I' => 1,
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];
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$numeral = array_shift($roman);
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if (!isset($lookup[$numeral])) {
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throw new Exception('Invalid character detected');
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}
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$arabic = $lookup[$numeral];
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if (count($roman) > 0 && isset($lookup[$roman[0]]) && $arabic < $lookup[$roman[0]]) {
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$subtract += $arabic;
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} else {
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$sum += ($arabic - $subtract);
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$subtract = 0;
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}
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if (count($roman) > 0) {
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self::calculateArabic($roman, $sum, $subtract);
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}
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return $sum;
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}
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/**
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* ATAN2.
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*
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* This function calculates the arc tangent of the two variables x and y. It is similar to
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* calculating the arc tangent of y ÷ x, except that the signs of both arguments are used
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* to determine the quadrant of the result.
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* The arctangent is the angle from the x-axis to a line containing the origin (0, 0) and a
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* point with coordinates (xCoordinate, yCoordinate). The angle is given in radians between
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* -pi and pi, excluding -pi.
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*
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* Note that the Excel ATAN2() function accepts its arguments in the reverse order to the standard
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* PHP atan2() function, so we need to reverse them here before calling the PHP atan() function.
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*
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* Excel Function:
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* ATAN2(xCoordinate,yCoordinate)
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*
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* @param float $xCoordinate the x-coordinate of the point
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* @param float $yCoordinate the y-coordinate of the point
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*
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* @return float|string the inverse tangent of the specified x- and y-coordinates, or a string containing an error
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*/
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public static function ATAN2($xCoordinate = null, $yCoordinate = null)
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{
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$xCoordinate = Functions::flattenSingleValue($xCoordinate);
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$yCoordinate = Functions::flattenSingleValue($yCoordinate);
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$xCoordinate = ($xCoordinate !== null) ? $xCoordinate : 0.0;
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$yCoordinate = ($yCoordinate !== null) ? $yCoordinate : 0.0;
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if (
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((is_numeric($xCoordinate)) || (is_bool($xCoordinate))) &&
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((is_numeric($yCoordinate))) || (is_bool($yCoordinate))
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) {
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$xCoordinate = (float) $xCoordinate;
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$yCoordinate = (float) $yCoordinate;
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if (($xCoordinate == 0) && ($yCoordinate == 0)) {
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return Functions::DIV0();
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}
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return atan2($yCoordinate, $xCoordinate);
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}
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return Functions::VALUE();
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}
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/**
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* BASE.
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*
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* Converts a number into a text representation with the given radix (base).
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*
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* Excel Function:
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* BASE(Number, Radix [Min_length])
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*
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* @param float $number
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* @param float $radix
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* @param int $minLength
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*
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* @return string the text representation with the given radix (base)
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*/
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public static function BASE($number, $radix, $minLength = null)
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{
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$number = Functions::flattenSingleValue($number);
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$radix = Functions::flattenSingleValue($radix);
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$minLength = Functions::flattenSingleValue($minLength);
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if (is_numeric($number) && is_numeric($radix) && ($minLength === null || is_numeric($minLength))) {
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// Truncate to an integer
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$number = (int) $number;
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$radix = (int) $radix;
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$minLength = (int) $minLength;
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if ($number < 0 || $number >= 2 ** 53 || $radix < 2 || $radix > 36) {
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return Functions::NAN(); // Numeric range constraints
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}
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$outcome = strtoupper((string) base_convert($number, 10, $radix));
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if ($minLength !== null) {
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$outcome = str_pad($outcome, $minLength, '0', STR_PAD_LEFT); // String padding
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}
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return $outcome;
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}
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return Functions::VALUE();
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}
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/**
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* CEILING.
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*
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* Returns number rounded up, away from zero, to the nearest multiple of significance.
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* For example, if you want to avoid using pennies in your prices and your product is
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* priced at $4.42, use the formula =CEILING(4.42,0.05) to round prices up to the
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* nearest nickel.
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*
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* Excel Function:
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* CEILING(number[,significance])
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*
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* @param float $number the number you want to round
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* @param float $significance the multiple to which you want to round
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*
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* @return float|string Rounded Number, or a string containing an error
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*/
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public static function CEILING($number, $significance = null)
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{
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$number = Functions::flattenSingleValue($number);
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$significance = Functions::flattenSingleValue($significance);
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if (
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($significance === null) &&
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(Functions::getCompatibilityMode() == Functions::COMPATIBILITY_GNUMERIC)
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) {
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$significance = $number / abs($number);
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}
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if ((is_numeric($number)) && (is_numeric($significance))) {
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if (($number == 0.0) || ($significance == 0.0)) {
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return 0.0;
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} elseif (self::SIGN($number) == self::SIGN($significance)) {
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return ceil($number / $significance) * $significance;
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}
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return Functions::NAN();
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}
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return Functions::VALUE();
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}
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/**
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* COMBIN.
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*
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* Returns the number of combinations for a given number of items. Use COMBIN to
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* determine the total possible number of groups for a given number of items.
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*
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* Excel Function:
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* COMBIN(numObjs,numInSet)
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*
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* @param int $numObjs Number of different objects
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* @param int $numInSet Number of objects in each combination
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*
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* @return int|string Number of combinations, or a string containing an error
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*/
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public static function COMBIN($numObjs, $numInSet)
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{
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$numObjs = Functions::flattenSingleValue($numObjs);
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$numInSet = Functions::flattenSingleValue($numInSet);
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if ((is_numeric($numObjs)) && (is_numeric($numInSet))) {
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if ($numObjs < $numInSet) {
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return Functions::NAN();
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} elseif ($numInSet < 0) {
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return Functions::NAN();
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}
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return round(self::FACT($numObjs) / self::FACT($numObjs - $numInSet)) / self::FACT($numInSet);
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}
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return Functions::VALUE();
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}
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/**
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* EVEN.
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*
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* Returns number rounded up to the nearest even integer.
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* You can use this function for processing items that come in twos. For example,
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* a packing crate accepts rows of one or two items. The crate is full when
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* the number of items, rounded up to the nearest two, matches the crate's
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* capacity.
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*
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* Excel Function:
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* EVEN(number)
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*
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* @param float $number Number to round
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*
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* @return int|string Rounded Number, or a string containing an error
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*/
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public static function EVEN($number)
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{
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$number = Functions::flattenSingleValue($number);
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if ($number === null) {
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return 0;
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} elseif (is_bool($number)) {
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$number = (int) $number;
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}
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if (is_numeric($number)) {
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$significance = 2 * self::SIGN($number);
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return (int) self::CEILING($number, $significance);
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}
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return Functions::VALUE();
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}
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/**
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* FACT.
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*
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* Returns the factorial of a number.
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* The factorial of a number is equal to 1*2*3*...* number.
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*
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* Excel Function:
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* FACT(factVal)
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*
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* @param float $factVal Factorial Value
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*
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* @return int|string Factorial, or a string containing an error
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*/
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public static function FACT($factVal)
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{
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$factVal = Functions::flattenSingleValue($factVal);
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if (is_numeric($factVal)) {
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if ($factVal < 0) {
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return Functions::NAN();
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}
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$factLoop = floor($factVal);
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if (
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(Functions::getCompatibilityMode() == Functions::COMPATIBILITY_GNUMERIC) &&
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($factVal > $factLoop)
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) {
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return Functions::NAN();
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}
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$factorial = 1;
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while ($factLoop > 1) {
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$factorial *= $factLoop--;
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}
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return $factorial;
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}
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return Functions::VALUE();
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}
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/**
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* FACTDOUBLE.
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*
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* Returns the double factorial of a number.
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*
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* Excel Function:
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* FACTDOUBLE(factVal)
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*
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* @param float $factVal Factorial Value
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*
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* @return int|string Double Factorial, or a string containing an error
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*/
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public static function FACTDOUBLE($factVal)
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{
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$factLoop = Functions::flattenSingleValue($factVal);
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if (is_numeric($factLoop)) {
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$factLoop = floor($factLoop);
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if ($factVal < 0) {
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return Functions::NAN();
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}
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$factorial = 1;
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while ($factLoop > 1) {
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$factorial *= $factLoop--;
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--$factLoop;
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}
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return $factorial;
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}
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return Functions::VALUE();
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}
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/**
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* FLOOR.
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*
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* Rounds number down, toward zero, to the nearest multiple of significance.
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*
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* Excel Function:
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* FLOOR(number[,significance])
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*
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* @param float $number Number to round
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* @param float $significance Significance
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*
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* @return float|string Rounded Number, or a string containing an error
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*/
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public static function FLOOR($number, $significance = null)
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{
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$number = Functions::flattenSingleValue($number);
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$significance = Functions::flattenSingleValue($significance);
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if (
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($significance === null) &&
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(Functions::getCompatibilityMode() == Functions::COMPATIBILITY_GNUMERIC)
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) {
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$significance = $number / abs($number);
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}
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if ((is_numeric($number)) && (is_numeric($significance))) {
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if ($significance == 0.0) {
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return Functions::DIV0();
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} elseif ($number == 0.0) {
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return 0.0;
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} elseif (self::SIGN($significance) == 1) {
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return floor($number / $significance) * $significance;
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} elseif (self::SIGN($number) == -1 && self::SIGN($significance) == -1) {
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return floor($number / $significance) * $significance;
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}
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return Functions::NAN();
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}
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return Functions::VALUE();
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}
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/**
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* FLOOR.MATH.
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*
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* Round a number down to the nearest integer or to the nearest multiple of significance.
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*
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* Excel Function:
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* FLOOR.MATH(number[,significance[,mode]])
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*
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* @param float $number Number to round
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* @param float $significance Significance
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* @param int $mode direction to round negative numbers
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*
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* @return float|string Rounded Number, or a string containing an error
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*/
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public static function FLOORMATH($number, $significance = null, $mode = 0)
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{
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$number = Functions::flattenSingleValue($number);
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$significance = Functions::flattenSingleValue($significance);
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$mode = Functions::flattenSingleValue($mode);
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if (is_numeric($number) && $significance === null) {
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$significance = $number / abs($number);
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}
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if (is_numeric($number) && is_numeric($significance) && is_numeric($mode)) {
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if ($significance == 0.0) {
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return Functions::DIV0();
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} elseif ($number == 0.0) {
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return 0.0;
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} elseif (self::SIGN($significance) == -1 || (self::SIGN($number) == -1 && !empty($mode))) {
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return ceil($number / $significance) * $significance;
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}
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return floor($number / $significance) * $significance;
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}
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return Functions::VALUE();
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}
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/**
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* FLOOR.PRECISE.
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*
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* Rounds number down, toward zero, to the nearest multiple of significance.
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*
|
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* Excel Function:
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* FLOOR.PRECISE(number[,significance])
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*
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* @param float $number Number to round
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* @param float $significance Significance
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*
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* @return float|string Rounded Number, or a string containing an error
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*/
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public static function FLOORPRECISE($number, $significance = 1)
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{
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$number = Functions::flattenSingleValue($number);
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$significance = Functions::flattenSingleValue($significance);
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if ((is_numeric($number)) && (is_numeric($significance))) {
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if ($significance == 0.0) {
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return Functions::DIV0();
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} elseif ($number == 0.0) {
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return 0.0;
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}
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return floor($number / abs($significance)) * abs($significance);
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}
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return Functions::VALUE();
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}
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private static function evaluateGCD($a, $b)
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{
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return $b ? self::evaluateGCD($b, $a % $b) : $a;
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}
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|
|
/**
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* GCD.
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*
|
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* Returns the greatest common divisor of a series of numbers.
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|
* The greatest common divisor is the largest integer that divides both
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* number1 and number2 without a remainder.
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*
|
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* Excel Function:
|
|
* GCD(number1[,number2[, ...]])
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*
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* @param mixed ...$args Data values
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*
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* @return int|mixed|string Greatest Common Divisor, or a string containing an error
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*/
|
|
public static function GCD(...$args)
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{
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$args = Functions::flattenArray($args);
|
|
// Loop through arguments
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foreach (Functions::flattenArray($args) as $value) {
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if (!is_numeric($value)) {
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return Functions::VALUE();
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} elseif ($value < 0) {
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return Functions::NAN();
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}
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}
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$gcd = (int) array_pop($args);
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do {
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$gcd = self::evaluateGCD($gcd, (int) array_pop($args));
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} while (!empty($args));
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return $gcd;
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}
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|
|
/**
|
|
* INT.
|
|
*
|
|
* Casts a floating point value to an integer
|
|
*
|
|
* Excel Function:
|
|
* INT(number)
|
|
*
|
|
* @param float $number Number to cast to an integer
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|
*
|
|
* @return int|string Integer value, or a string containing an error
|
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*/
|
|
public static function INT($number)
|
|
{
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$number = Functions::flattenSingleValue($number);
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|
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if ($number === null) {
|
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return 0;
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|
} elseif (is_bool($number)) {
|
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return (int) $number;
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|
}
|
|
if (is_numeric($number)) {
|
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return (int) floor($number);
|
|
}
|
|
|
|
return Functions::VALUE();
|
|
}
|
|
|
|
/**
|
|
* LCM.
|
|
*
|
|
* Returns the lowest common multiplier of a series of numbers
|
|
* The least common multiple is the smallest positive integer that is a multiple
|
|
* of all integer arguments number1, number2, and so on. Use LCM to add fractions
|
|
* with different denominators.
|
|
*
|
|
* Excel Function:
|
|
* LCM(number1[,number2[, ...]])
|
|
*
|
|
* @param mixed ...$args Data values
|
|
*
|
|
* @return int|string Lowest Common Multiplier, or a string containing an error
|
|
*/
|
|
public static function LCM(...$args)
|
|
{
|
|
$returnValue = 1;
|
|
$allPoweredFactors = [];
|
|
// Loop through arguments
|
|
foreach (Functions::flattenArray($args) as $value) {
|
|
if (!is_numeric($value)) {
|
|
return Functions::VALUE();
|
|
}
|
|
if ($value == 0) {
|
|
return 0;
|
|
} elseif ($value < 0) {
|
|
return Functions::NAN();
|
|
}
|
|
$myFactors = self::factors(floor($value));
|
|
$myCountedFactors = array_count_values($myFactors);
|
|
$myPoweredFactors = [];
|
|
foreach ($myCountedFactors as $myCountedFactor => $myCountedPower) {
|
|
$myPoweredFactors[$myCountedFactor] = $myCountedFactor ** $myCountedPower;
|
|
}
|
|
foreach ($myPoweredFactors as $myPoweredValue => $myPoweredFactor) {
|
|
if (isset($allPoweredFactors[$myPoweredValue])) {
|
|
if ($allPoweredFactors[$myPoweredValue] < $myPoweredFactor) {
|
|
$allPoweredFactors[$myPoweredValue] = $myPoweredFactor;
|
|
}
|
|
} else {
|
|
$allPoweredFactors[$myPoweredValue] = $myPoweredFactor;
|
|
}
|
|
}
|
|
}
|
|
foreach ($allPoweredFactors as $allPoweredFactor) {
|
|
$returnValue *= (int) $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])
|
|
*
|
|
* @param float $number The positive real number for which you want the logarithm
|
|
* @param float $base The base of the logarithm. If base is omitted, it is assumed to be 10.
|
|
*
|
|
* @return float|string The result, or a string containing an error
|
|
*/
|
|
public static function logBase($number = null, $base = 10)
|
|
{
|
|
$number = Functions::flattenSingleValue($number);
|
|
$base = ($base === null) ? 10 : (float) Functions::flattenSingleValue($base);
|
|
|
|
if ((!is_numeric($base)) || (!is_numeric($number))) {
|
|
return Functions::VALUE();
|
|
}
|
|
if (($base <= 0) || ($number <= 0)) {
|
|
return Functions::NAN();
|
|
}
|
|
|
|
return log($number, $base);
|
|
}
|
|
|
|
/**
|
|
* MDETERM.
|
|
*
|
|
* Returns the matrix determinant of an array.
|
|
*
|
|
* Excel Function:
|
|
* MDETERM(array)
|
|
*
|
|
* @param array $matrixValues A matrix of values
|
|
*
|
|
* @return float|string The result, or a string containing an error
|
|
*/
|
|
public static function MDETERM($matrixValues)
|
|
{
|
|
$matrixData = [];
|
|
if (!is_array($matrixValues)) {
|
|
$matrixValues = [[$matrixValues]];
|
|
}
|
|
|
|
$row = $maxColumn = 0;
|
|
foreach ($matrixValues as $matrixRow) {
|
|
if (!is_array($matrixRow)) {
|
|
$matrixRow = [$matrixRow];
|
|
}
|
|
$column = 0;
|
|
foreach ($matrixRow as $matrixCell) {
|
|
if ((is_string($matrixCell)) || ($matrixCell === null)) {
|
|
return Functions::VALUE();
|
|
}
|
|
$matrixData[$row][$column] = $matrixCell;
|
|
++$column;
|
|
}
|
|
if ($column > $maxColumn) {
|
|
$maxColumn = $column;
|
|
}
|
|
++$row;
|
|
}
|
|
|
|
$matrix = new Matrix($matrixData);
|
|
if (!$matrix->isSquare()) {
|
|
return Functions::VALUE();
|
|
}
|
|
|
|
try {
|
|
return $matrix->determinant();
|
|
} catch (MatrixException $ex) {
|
|
return Functions::VALUE();
|
|
}
|
|
}
|
|
|
|
/**
|
|
* MINVERSE.
|
|
*
|
|
* Returns the inverse matrix for the matrix stored in an array.
|
|
*
|
|
* Excel Function:
|
|
* MINVERSE(array)
|
|
*
|
|
* @param array $matrixValues A matrix of values
|
|
*
|
|
* @return array|string The result, or a string containing an error
|
|
*/
|
|
public static function MINVERSE($matrixValues)
|
|
{
|
|
$matrixData = [];
|
|
if (!is_array($matrixValues)) {
|
|
$matrixValues = [[$matrixValues]];
|
|
}
|
|
|
|
$row = $maxColumn = 0;
|
|
foreach ($matrixValues as $matrixRow) {
|
|
if (!is_array($matrixRow)) {
|
|
$matrixRow = [$matrixRow];
|
|
}
|
|
$column = 0;
|
|
foreach ($matrixRow as $matrixCell) {
|
|
if ((is_string($matrixCell)) || ($matrixCell === null)) {
|
|
return Functions::VALUE();
|
|
}
|
|
$matrixData[$row][$column] = $matrixCell;
|
|
++$column;
|
|
}
|
|
if ($column > $maxColumn) {
|
|
$maxColumn = $column;
|
|
}
|
|
++$row;
|
|
}
|
|
|
|
$matrix = new Matrix($matrixData);
|
|
if (!$matrix->isSquare()) {
|
|
return Functions::VALUE();
|
|
}
|
|
|
|
if ($matrix->determinant() == 0.0) {
|
|
return Functions::NAN();
|
|
}
|
|
|
|
try {
|
|
return $matrix->inverse()->toArray();
|
|
} catch (MatrixException $ex) {
|
|
return Functions::VALUE();
|
|
}
|
|
}
|
|
|
|
/**
|
|
* MMULT.
|
|
*
|
|
* @param array $matrixData1 A matrix of values
|
|
* @param array $matrixData2 A matrix of values
|
|
*
|
|
* @return array|string The result, or a string containing an error
|
|
*/
|
|
public static function MMULT($matrixData1, $matrixData2)
|
|
{
|
|
$matrixAData = $matrixBData = [];
|
|
if (!is_array($matrixData1)) {
|
|
$matrixData1 = [[$matrixData1]];
|
|
}
|
|
if (!is_array($matrixData2)) {
|
|
$matrixData2 = [[$matrixData2]];
|
|
}
|
|
|
|
try {
|
|
$rowA = 0;
|
|
foreach ($matrixData1 as $matrixRow) {
|
|
if (!is_array($matrixRow)) {
|
|
$matrixRow = [$matrixRow];
|
|
}
|
|
$columnA = 0;
|
|
foreach ($matrixRow as $matrixCell) {
|
|
if ((!is_numeric($matrixCell)) || ($matrixCell === null)) {
|
|
return Functions::VALUE();
|
|
}
|
|
$matrixAData[$rowA][$columnA] = $matrixCell;
|
|
++$columnA;
|
|
}
|
|
++$rowA;
|
|
}
|
|
$matrixA = new Matrix($matrixAData);
|
|
$rowB = 0;
|
|
foreach ($matrixData2 as $matrixRow) {
|
|
if (!is_array($matrixRow)) {
|
|
$matrixRow = [$matrixRow];
|
|
}
|
|
$columnB = 0;
|
|
foreach ($matrixRow as $matrixCell) {
|
|
if ((!is_numeric($matrixCell)) || ($matrixCell === null)) {
|
|
return Functions::VALUE();
|
|
}
|
|
$matrixBData[$rowB][$columnB] = $matrixCell;
|
|
++$columnB;
|
|
}
|
|
++$rowB;
|
|
}
|
|
$matrixB = new Matrix($matrixBData);
|
|
|
|
if ($columnA != $rowB) {
|
|
return Functions::VALUE();
|
|
}
|
|
|
|
return $matrixA->multiply($matrixB)->toArray();
|
|
} catch (MatrixException $ex) {
|
|
return Functions::VALUE();
|
|
}
|
|
}
|
|
|
|
/**
|
|
* MOD.
|
|
*
|
|
* @param int $a Dividend
|
|
* @param int $b Divisor
|
|
*
|
|
* @return int|string Remainder, or a string containing an error
|
|
*/
|
|
public static function MOD($a = 1, $b = 1)
|
|
{
|
|
$a = (float) Functions::flattenSingleValue($a);
|
|
$b = (float) Functions::flattenSingleValue($b);
|
|
|
|
if ($b == 0.0) {
|
|
return Functions::DIV0();
|
|
} elseif (($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 $number
|
|
*
|
|
* @return float|string Rounded Number, or a string containing an error
|
|
*/
|
|
public static function MROUND($number, $multiple)
|
|
{
|
|
$number = Functions::flattenSingleValue($number);
|
|
$multiple = Functions::flattenSingleValue($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 Functions::NAN();
|
|
}
|
|
|
|
return Functions::VALUE();
|
|
}
|
|
|
|
/**
|
|
* MULTINOMIAL.
|
|
*
|
|
* Returns the ratio of the factorial of a sum of values to the product of factorials.
|
|
*
|
|
* @param mixed[] $args An array of mixed values for the Data Series
|
|
*
|
|
* @return float|string The result, or a string containing an error
|
|
*/
|
|
public static function MULTINOMIAL(...$args)
|
|
{
|
|
$summer = 0;
|
|
$divisor = 1;
|
|
// Loop through arguments
|
|
foreach (Functions::flattenArray($args) as $arg) {
|
|
// Is it a numeric value?
|
|
if (is_numeric($arg)) {
|
|
if ($arg < 1) {
|
|
return Functions::NAN();
|
|
}
|
|
$summer += floor($arg);
|
|
$divisor *= self::FACT($arg);
|
|
} else {
|
|
return 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 $number Number to round
|
|
*
|
|
* @return int|string Rounded Number, or a string containing an error
|
|
*/
|
|
public static function ODD($number)
|
|
{
|
|
$number = Functions::flattenSingleValue($number);
|
|
|
|
if ($number === null) {
|
|
return 1;
|
|
} elseif (is_bool($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 Functions::VALUE();
|
|
}
|
|
|
|
/**
|
|
* POWER.
|
|
*
|
|
* Computes x raised to the power y.
|
|
*
|
|
* @param float $x
|
|
* @param float $y
|
|
*
|
|
* @return float|string The result, or a string containing an error
|
|
*/
|
|
public static function POWER($x = 0, $y = 2)
|
|
{
|
|
$x = Functions::flattenSingleValue($x);
|
|
$y = Functions::flattenSingleValue($y);
|
|
|
|
// Validate parameters
|
|
if ($x == 0.0 && $y == 0.0) {
|
|
return Functions::NAN();
|
|
} elseif ($x == 0.0 && $y < 0.0) {
|
|
return Functions::DIV0();
|
|
}
|
|
|
|
// Return
|
|
$result = $x ** $y;
|
|
|
|
return (!is_nan($result) && !is_infinite($result)) ? $result : Functions::NAN();
|
|
}
|
|
|
|
/**
|
|
* PRODUCT.
|
|
*
|
|
* PRODUCT returns the product of all the values and cells referenced in the argument list.
|
|
*
|
|
* Excel Function:
|
|
* PRODUCT(value1[,value2[, ...]])
|
|
*
|
|
* @param mixed ...$args Data values
|
|
*
|
|
* @return float
|
|
*/
|
|
public static function PRODUCT(...$args)
|
|
{
|
|
// Return value
|
|
$returnValue = null;
|
|
|
|
// Loop through arguments
|
|
foreach (Functions::flattenArray($args) as $arg) {
|
|
// Is it a numeric value?
|
|
if ((is_numeric($arg)) && (!is_string($arg))) {
|
|
if ($returnValue === null) {
|
|
$returnValue = $arg;
|
|
} else {
|
|
$returnValue *= $arg;
|
|
}
|
|
}
|
|
}
|
|
|
|
// Return
|
|
if ($returnValue === null) {
|
|
return 0;
|
|
}
|
|
|
|
return $returnValue;
|
|
}
|
|
|
|
/**
|
|
* QUOTIENT.
|
|
*
|
|
* QUOTIENT function returns the integer portion of a division. Numerator is the divided number
|
|
* and denominator is the divisor.
|
|
*
|
|
* Excel Function:
|
|
* QUOTIENT(value1[,value2[, ...]])
|
|
*
|
|
* @param mixed ...$args Data values
|
|
*
|
|
* @return float
|
|
*/
|
|
public static function QUOTIENT(...$args)
|
|
{
|
|
// Return value
|
|
$returnValue = null;
|
|
|
|
// Loop through arguments
|
|
foreach (Functions::flattenArray($args) as $arg) {
|
|
// Is it a numeric value?
|
|
if ((is_numeric($arg)) && (!is_string($arg))) {
|
|
if ($returnValue === null) {
|
|
$returnValue = ($arg == 0) ? 0 : $arg;
|
|
} else {
|
|
if (($returnValue == 0) || ($arg == 0)) {
|
|
$returnValue = 0;
|
|
} else {
|
|
$returnValue /= $arg;
|
|
}
|
|
}
|
|
}
|
|
}
|
|
|
|
// Return
|
|
return (int) $returnValue;
|
|
}
|
|
|
|
/**
|
|
* RAND.
|
|
*
|
|
* @param int $min Minimal value
|
|
* @param int $max Maximal value
|
|
*
|
|
* @return int Random number
|
|
*/
|
|
public static function RAND($min = 0, $max = 0)
|
|
{
|
|
$min = Functions::flattenSingleValue($min);
|
|
$max = Functions::flattenSingleValue($max);
|
|
|
|
if ($min == 0 && $max == 0) {
|
|
return (mt_rand(0, 10000000)) / 10000000;
|
|
}
|
|
|
|
return mt_rand($min, $max);
|
|
}
|
|
|
|
public static function ROMAN($aValue, $style = 0)
|
|
{
|
|
$aValue = Functions::flattenSingleValue($aValue);
|
|
$style = ($style === null) ? 0 : (int) Functions::flattenSingleValue($style);
|
|
if ((!is_numeric($aValue)) || ($aValue < 0) || ($aValue >= 4000)) {
|
|
return Functions::VALUE();
|
|
}
|
|
$aValue = (int) $aValue;
|
|
if ($aValue == 0) {
|
|
return '';
|
|
}
|
|
|
|
$mill = ['', 'M', 'MM', 'MMM', 'MMMM', 'MMMMM'];
|
|
$cent = ['', 'C', 'CC', 'CCC', 'CD', 'D', 'DC', 'DCC', 'DCCC', 'CM'];
|
|
$tens = ['', 'X', 'XX', 'XXX', 'XL', 'L', 'LX', 'LXX', 'LXXX', 'XC'];
|
|
$ones = ['', '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 $number
|
|
*
|
|
* @return float|string Rounded Number, or a string containing an error
|
|
*/
|
|
public static function ROUNDUP($number, $digits)
|
|
{
|
|
$number = Functions::flattenSingleValue($number);
|
|
$digits = Functions::flattenSingleValue($digits);
|
|
|
|
if ((is_numeric($number)) && (is_numeric($digits))) {
|
|
if ($number < 0.0) {
|
|
return round($number - 0.5 * 0.1 ** $digits, $digits, PHP_ROUND_HALF_DOWN);
|
|
}
|
|
|
|
return round($number + 0.5 * 0.1 ** $digits, $digits, PHP_ROUND_HALF_DOWN);
|
|
}
|
|
|
|
return 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 $number
|
|
*
|
|
* @return float|string Rounded Number, or a string containing an error
|
|
*/
|
|
public static function ROUNDDOWN($number, $digits)
|
|
{
|
|
$number = Functions::flattenSingleValue($number);
|
|
$digits = Functions::flattenSingleValue($digits);
|
|
|
|
if ((is_numeric($number)) && (is_numeric($digits))) {
|
|
if ($number < 0.0) {
|
|
return round($number + 0.5 * 0.1 ** $digits, $digits, PHP_ROUND_HALF_UP);
|
|
}
|
|
|
|
return round($number - 0.5 * 0.1 ** $digits, $digits, PHP_ROUND_HALF_UP);
|
|
}
|
|
|
|
return Functions::VALUE();
|
|
}
|
|
|
|
/**
|
|
* SERIESSUM.
|
|
*
|
|
* Returns the sum of a power series
|
|
*
|
|
* @param mixed[] $args An array of mixed values for the Data Series
|
|
*
|
|
* @return float|string The result, or a string containing an error
|
|
*/
|
|
public static function SERIESSUM(...$args)
|
|
{
|
|
$returnValue = 0;
|
|
|
|
// Loop through arguments
|
|
$aArgs = Functions::flattenArray($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 * $x ** ($n + ($m * $i++));
|
|
} else {
|
|
return Functions::VALUE();
|
|
}
|
|
}
|
|
|
|
return $returnValue;
|
|
}
|
|
|
|
return 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 $number Number to round
|
|
*
|
|
* @return int|string sign value, or a string containing an error
|
|
*/
|
|
public static function SIGN($number)
|
|
{
|
|
$number = Functions::flattenSingleValue($number);
|
|
|
|
if (is_bool($number)) {
|
|
return (int) $number;
|
|
}
|
|
if (is_numeric($number)) {
|
|
if ($number == 0.0) {
|
|
return 0;
|
|
}
|
|
|
|
return $number / abs($number);
|
|
}
|
|
|
|
return Functions::VALUE();
|
|
}
|
|
|
|
/**
|
|
* SQRTPI.
|
|
*
|
|
* Returns the square root of (number * pi).
|
|
*
|
|
* @param float $number Number
|
|
*
|
|
* @return float|string Square Root of Number * Pi, or a string containing an error
|
|
*/
|
|
public static function SQRTPI($number)
|
|
{
|
|
$number = Functions::flattenSingleValue($number);
|
|
|
|
if (is_numeric($number)) {
|
|
if ($number < 0) {
|
|
return Functions::NAN();
|
|
}
|
|
|
|
return sqrt($number * M_PI);
|
|
}
|
|
|
|
return Functions::VALUE();
|
|
}
|
|
|
|
protected static function filterHiddenArgs($cellReference, $args)
|
|
{
|
|
return array_filter(
|
|
$args,
|
|
function ($index) use ($cellReference) {
|
|
[, $row, $column] = explode('.', $index);
|
|
|
|
return $cellReference->getWorksheet()->getRowDimension($row)->getVisible() &&
|
|
$cellReference->getWorksheet()->getColumnDimension($column)->getVisible();
|
|
},
|
|
ARRAY_FILTER_USE_KEY
|
|
);
|
|
}
|
|
|
|
protected static function filterFormulaArgs($cellReference, $args)
|
|
{
|
|
return array_filter(
|
|
$args,
|
|
function ($index) use ($cellReference) {
|
|
[, $row, $column] = explode('.', $index);
|
|
if ($cellReference->getWorksheet()->cellExists($column . $row)) {
|
|
//take this cell out if it contains the SUBTOTAL or AGGREGATE functions in a formula
|
|
$isFormula = $cellReference->getWorksheet()->getCell($column . $row)->isFormula();
|
|
$cellFormula = !preg_match('/^=.*\b(SUBTOTAL|AGGREGATE)\s*\(/i', $cellReference->getWorksheet()->getCell($column . $row)->getValue());
|
|
|
|
return !$isFormula || $cellFormula;
|
|
}
|
|
|
|
return true;
|
|
},
|
|
ARRAY_FILTER_USE_KEY
|
|
);
|
|
}
|
|
|
|
/**
|
|
* SUBTOTAL.
|
|
*
|
|
* Returns a subtotal in a list or database.
|
|
*
|
|
* @param int $functionType
|
|
* A number 1 to 11 that specifies which function to
|
|
* use in calculating subtotals within a range
|
|
* list
|
|
* Numbers 101 to 111 shadow the functions of 1 to 11
|
|
* but ignore any values in the range that are
|
|
* in hidden rows or columns
|
|
* @param mixed[] $args A mixed data series of values
|
|
*
|
|
* @return float|string
|
|
*/
|
|
public static function SUBTOTAL($functionType, ...$args)
|
|
{
|
|
$cellReference = array_pop($args);
|
|
$aArgs = Functions::flattenArrayIndexed($args);
|
|
$subtotal = Functions::flattenSingleValue($functionType);
|
|
|
|
// Calculate
|
|
if ((is_numeric($subtotal)) && (!is_string($subtotal))) {
|
|
if ($subtotal > 100) {
|
|
$aArgs = self::filterHiddenArgs($cellReference, $aArgs);
|
|
$subtotal -= 100;
|
|
}
|
|
|
|
$aArgs = self::filterFormulaArgs($cellReference, $aArgs);
|
|
switch ($subtotal) {
|
|
case 1:
|
|
return Statistical::AVERAGE($aArgs);
|
|
case 2:
|
|
return Statistical::COUNT($aArgs);
|
|
case 3:
|
|
return Statistical::COUNTA($aArgs);
|
|
case 4:
|
|
return Statistical::MAX($aArgs);
|
|
case 5:
|
|
return Statistical::MIN($aArgs);
|
|
case 6:
|
|
return self::PRODUCT($aArgs);
|
|
case 7:
|
|
return Statistical::STDEV($aArgs);
|
|
case 8:
|
|
return Statistical::STDEVP($aArgs);
|
|
case 9:
|
|
return self::SUM($aArgs);
|
|
case 10:
|
|
return Statistical::VARFunc($aArgs);
|
|
case 11:
|
|
return Statistical::VARP($aArgs);
|
|
}
|
|
}
|
|
|
|
return Functions::VALUE();
|
|
}
|
|
|
|
/**
|
|
* SUM.
|
|
*
|
|
* SUM computes the sum of all the values and cells referenced in the argument list.
|
|
*
|
|
* Excel Function:
|
|
* SUM(value1[,value2[, ...]])
|
|
*
|
|
* @param mixed ...$args Data values
|
|
*
|
|
* @return float
|
|
*/
|
|
public static function SUM(...$args)
|
|
{
|
|
$returnValue = 0;
|
|
|
|
// Loop through the arguments
|
|
foreach (Functions::flattenArray($args) as $arg) {
|
|
// Is it a numeric value?
|
|
if ((is_numeric($arg)) && (!is_string($arg))) {
|
|
$returnValue += $arg;
|
|
} elseif (Functions::isError($arg)) {
|
|
return $arg;
|
|
}
|
|
}
|
|
|
|
return $returnValue;
|
|
}
|
|
|
|
/**
|
|
* SUMIF.
|
|
*
|
|
* Counts the number of cells that contain numbers within the list of arguments
|
|
*
|
|
* Excel Function:
|
|
* SUMIF(value1[,value2[, ...]],condition)
|
|
*
|
|
* @param mixed $aArgs Data values
|
|
* @param string $condition the criteria that defines which cells will be summed
|
|
* @param mixed $sumArgs
|
|
*
|
|
* @return float
|
|
*/
|
|
public static function SUMIF($aArgs, $condition, $sumArgs = [])
|
|
{
|
|
$returnValue = 0;
|
|
|
|
$aArgs = Functions::flattenArray($aArgs);
|
|
$sumArgs = Functions::flattenArray($sumArgs);
|
|
if (empty($sumArgs)) {
|
|
$sumArgs = $aArgs;
|
|
}
|
|
$condition = Functions::ifCondition($condition);
|
|
// Loop through arguments
|
|
foreach ($aArgs as $key => $arg) {
|
|
if (!is_numeric($arg)) {
|
|
$arg = str_replace('"', '""', $arg);
|
|
$arg = Calculation::wrapResult(strtoupper($arg));
|
|
}
|
|
|
|
$testCondition = '=' . $arg . $condition;
|
|
$sumValue = array_key_exists($key, $sumArgs) ? $sumArgs[$key] : 0;
|
|
|
|
if (
|
|
is_numeric($sumValue) &&
|
|
Calculation::getInstance()->_calculateFormulaValue($testCondition)
|
|
) {
|
|
// Is it a value within our criteria and only numeric can be added to the result
|
|
$returnValue += $sumValue;
|
|
}
|
|
}
|
|
|
|
return $returnValue;
|
|
}
|
|
|
|
/**
|
|
* SUMIFS.
|
|
*
|
|
* Counts the number of cells that contain numbers within the list of arguments
|
|
*
|
|
* Excel Function:
|
|
* SUMIFS(value1[,value2[, ...]],condition)
|
|
*
|
|
* @param mixed $args Data values
|
|
*
|
|
* @return float
|
|
*/
|
|
public static function SUMIFS(...$args)
|
|
{
|
|
$arrayList = $args;
|
|
|
|
// Return value
|
|
$returnValue = 0;
|
|
|
|
$sumArgs = Functions::flattenArray(array_shift($arrayList));
|
|
$aArgsArray = [];
|
|
$conditions = [];
|
|
|
|
while (count($arrayList) > 0) {
|
|
$aArgsArray[] = Functions::flattenArray(array_shift($arrayList));
|
|
$conditions[] = Functions::ifCondition(array_shift($arrayList));
|
|
}
|
|
|
|
// Loop through each sum and see if arguments and conditions are true
|
|
foreach ($sumArgs as $index => $value) {
|
|
$valid = true;
|
|
|
|
foreach ($conditions as $cidx => $condition) {
|
|
$arg = $aArgsArray[$cidx][$index];
|
|
|
|
// Loop through arguments
|
|
if (!is_numeric($arg)) {
|
|
$arg = Calculation::wrapResult(strtoupper($arg));
|
|
}
|
|
$testCondition = '=' . $arg . $condition;
|
|
if (!Calculation::getInstance()->_calculateFormulaValue($testCondition)) {
|
|
// Is not a value within our criteria
|
|
$valid = false;
|
|
|
|
break; // if false found, don't need to check other conditions
|
|
}
|
|
}
|
|
|
|
if ($valid) {
|
|
$returnValue += $value;
|
|
}
|
|
}
|
|
|
|
// Return
|
|
return $returnValue;
|
|
}
|
|
|
|
/**
|
|
* SUMPRODUCT.
|
|
*
|
|
* Excel Function:
|
|
* SUMPRODUCT(value1[,value2[, ...]])
|
|
*
|
|
* @param mixed ...$args Data values
|
|
*
|
|
* @return float|string The result, or a string containing an error
|
|
*/
|
|
public static function SUMPRODUCT(...$args)
|
|
{
|
|
$arrayList = $args;
|
|
|
|
$wrkArray = Functions::flattenArray(array_shift($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) {
|
|
$array2 = Functions::flattenArray($matrixData);
|
|
$count = count($array2);
|
|
if ($wrkCellCount != $count) {
|
|
return Functions::VALUE();
|
|
}
|
|
|
|
foreach ($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[, ...]])
|
|
*
|
|
* @param mixed ...$args Data values
|
|
*
|
|
* @return float
|
|
*/
|
|
public static function SUMSQ(...$args)
|
|
{
|
|
$returnValue = 0;
|
|
|
|
// Loop through arguments
|
|
foreach (Functions::flattenArray($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)
|
|
{
|
|
$array1 = Functions::flattenArray($matrixData1);
|
|
$array2 = Functions::flattenArray($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)
|
|
{
|
|
$array1 = Functions::flattenArray($matrixData1);
|
|
$array2 = Functions::flattenArray($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)
|
|
{
|
|
$array1 = Functions::flattenArray($matrixData1);
|
|
$array2 = Functions::flattenArray($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 $digits
|
|
*
|
|
* @return float|string Truncated value, or a string containing an error
|
|
*/
|
|
public static function TRUNC($value = 0, $digits = 0)
|
|
{
|
|
$value = Functions::flattenSingleValue($value);
|
|
$digits = Functions::flattenSingleValue($digits);
|
|
|
|
// Validate parameters
|
|
if ((!is_numeric($value)) || (!is_numeric($digits))) {
|
|
return Functions::VALUE();
|
|
}
|
|
$digits = floor($digits);
|
|
|
|
// Truncate
|
|
$adjust = 10 ** $digits;
|
|
|
|
if (($digits > 0) && (rtrim((int) ((abs($value) - abs((int) $value)) * $adjust), '0') < $adjust / 10)) {
|
|
return $value;
|
|
}
|
|
|
|
return ((int) ($value * $adjust)) / $adjust;
|
|
}
|
|
|
|
/**
|
|
* SEC.
|
|
*
|
|
* Returns the secant of an angle.
|
|
*
|
|
* @param float $angle Number
|
|
*
|
|
* @return float|string The secant of the angle
|
|
*/
|
|
public static function SEC($angle)
|
|
{
|
|
$angle = Functions::flattenSingleValue($angle);
|
|
|
|
if (!is_numeric($angle)) {
|
|
return Functions::VALUE();
|
|
}
|
|
|
|
$result = cos($angle);
|
|
|
|
return ($result == 0.0) ? Functions::DIV0() : 1 / $result;
|
|
}
|
|
|
|
/**
|
|
* SECH.
|
|
*
|
|
* Returns the hyperbolic secant of an angle.
|
|
*
|
|
* @param float $angle Number
|
|
*
|
|
* @return float|string The hyperbolic secant of the angle
|
|
*/
|
|
public static function SECH($angle)
|
|
{
|
|
$angle = Functions::flattenSingleValue($angle);
|
|
|
|
if (!is_numeric($angle)) {
|
|
return Functions::VALUE();
|
|
}
|
|
|
|
$result = cosh($angle);
|
|
|
|
return ($result == 0.0) ? Functions::DIV0() : 1 / $result;
|
|
}
|
|
|
|
/**
|
|
* CSC.
|
|
*
|
|
* Returns the cosecant of an angle.
|
|
*
|
|
* @param float $angle Number
|
|
*
|
|
* @return float|string The cosecant of the angle
|
|
*/
|
|
public static function CSC($angle)
|
|
{
|
|
$angle = Functions::flattenSingleValue($angle);
|
|
|
|
if (!is_numeric($angle)) {
|
|
return Functions::VALUE();
|
|
}
|
|
|
|
$result = sin($angle);
|
|
|
|
return ($result == 0.0) ? Functions::DIV0() : 1 / $result;
|
|
}
|
|
|
|
/**
|
|
* CSCH.
|
|
*
|
|
* Returns the hyperbolic cosecant of an angle.
|
|
*
|
|
* @param float $angle Number
|
|
*
|
|
* @return float|string The hyperbolic cosecant of the angle
|
|
*/
|
|
public static function CSCH($angle)
|
|
{
|
|
$angle = Functions::flattenSingleValue($angle);
|
|
|
|
if (!is_numeric($angle)) {
|
|
return Functions::VALUE();
|
|
}
|
|
|
|
$result = sinh($angle);
|
|
|
|
return ($result == 0.0) ? Functions::DIV0() : 1 / $result;
|
|
}
|
|
|
|
/**
|
|
* COT.
|
|
*
|
|
* Returns the cotangent of an angle.
|
|
*
|
|
* @param float $angle Number
|
|
*
|
|
* @return float|string The cotangent of the angle
|
|
*/
|
|
public static function COT($angle)
|
|
{
|
|
$angle = Functions::flattenSingleValue($angle);
|
|
|
|
if (!is_numeric($angle)) {
|
|
return Functions::VALUE();
|
|
}
|
|
|
|
$result = tan($angle);
|
|
|
|
return ($result == 0.0) ? Functions::DIV0() : 1 / $result;
|
|
}
|
|
|
|
/**
|
|
* COTH.
|
|
*
|
|
* Returns the hyperbolic cotangent of an angle.
|
|
*
|
|
* @param float $angle Number
|
|
*
|
|
* @return float|string The hyperbolic cotangent of the angle
|
|
*/
|
|
public static function COTH($angle)
|
|
{
|
|
$angle = Functions::flattenSingleValue($angle);
|
|
|
|
if (!is_numeric($angle)) {
|
|
return Functions::VALUE();
|
|
}
|
|
|
|
$result = tanh($angle);
|
|
|
|
return ($result == 0.0) ? Functions::DIV0() : 1 / $result;
|
|
}
|
|
|
|
/**
|
|
* ACOT.
|
|
*
|
|
* Returns the arccotangent of a number.
|
|
*
|
|
* @param float $number Number
|
|
*
|
|
* @return float|string The arccotangent of the number
|
|
*/
|
|
public static function ACOT($number)
|
|
{
|
|
$number = Functions::flattenSingleValue($number);
|
|
|
|
if (!is_numeric($number)) {
|
|
return Functions::VALUE();
|
|
}
|
|
|
|
return (M_PI / 2) - atan($number);
|
|
}
|
|
|
|
/**
|
|
* ACOTH.
|
|
*
|
|
* Returns the hyperbolic arccotangent of a number.
|
|
*
|
|
* @param float $number Number
|
|
*
|
|
* @return float|string The hyperbolic arccotangent of the number
|
|
*/
|
|
public static function ACOTH($number)
|
|
{
|
|
$number = Functions::flattenSingleValue($number);
|
|
|
|
if (!is_numeric($number)) {
|
|
return Functions::VALUE();
|
|
}
|
|
|
|
$result = log(($number + 1) / ($number - 1)) / 2;
|
|
|
|
return is_nan($result) ? Functions::NAN() : $result;
|
|
}
|
|
}
|