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See Release Notes

  • Bug fixes for general core bugs in 3.11.x will end 14 Nov 2022 (12 months plus 6 months extension).
  • Bug fixes for security issues in 3.11.x will end 13 Nov 2023 (18 months plus 12 months extension).
  • PHP version: minimum PHP 7.3.0 Note: minimum PHP version has increased since Moodle 3.10. PHP 7.4.x is supported too.
<?php

namespace PhpOffice\PhpSpreadsheet\Calculation;

< use Exception; < use Matrix\Exception as MatrixException; < use Matrix\Matrix; <
> /** > * @deprecated 1.18.0 > */
class MathTrig {
< // < // Private method to return an array of the factors of the input value < // < private static function factors($value) < { < $startVal = floor(sqrt($value)); < < $factorArray = []; < for ($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; < } < < return [(int) $value]; < } < < private static function romanCut($num, $n) < { < return ($num - ($num % $n)) / $n; < } <
/** * ARABIC. * * Converts a Roman numeral to an Arabic numeral. * * Excel Function: * ARABIC(text) *
< * @param string $roman
> * @deprecated 1.18.0 > * Use the evaluate method in the MathTrig\Arabic class instead > * @see MathTrig\Arabic::evaluate()
*
< * @return int|string the arabic numberal contrived from the roman numeral < */ < public static function ARABIC($roman) < { < // An empty string should return 0 < $roman = substr(trim(strtoupper((string) Functions::flattenSingleValue($roman))), 0, 255); < if ($roman === '') { < return 0; < } < < // Convert the roman numeral to an arabic number < $negativeNumber = $roman[0] === '-'; < if ($negativeNumber) { < $roman = substr($roman, 1); < } < < try { < $arabic = self::calculateArabic(str_split($roman)); < } catch (Exception $e) { < return Functions::VALUE(); // Invalid character detected < } < < if ($negativeNumber) { < $arabic *= -1; // The number should be negative < } < < return $arabic; < } < < /** < * Recursively calculate the arabic value of a roman numeral. < * < * @param int $sum < * @param int $subtract
> * @param array|string $roman
*
< * @return int
> * @return array|int|string the arabic numberal contrived from the roman numeral
*/
< protected static function calculateArabic(array $roman, &$sum = 0, $subtract = 0)
> public static function ARABIC($roman)
{
< $lookup = [ < 'M' => 1000, < 'D' => 500, < 'C' => 100, < 'L' => 50, < 'X' => 10, < 'V' => 5, < 'I' => 1, < ]; < < $numeral = array_shift($roman); < if (!isset($lookup[$numeral])) { < throw new Exception('Invalid character detected'); < } < < $arabic = $lookup[$numeral]; < if (count($roman) > 0 && isset($lookup[$roman[0]]) && $arabic < $lookup[$roman[0]]) { < $subtract += $arabic; < } else { < $sum += ($arabic - $subtract); < $subtract = 0; < } < < if (count($roman) > 0) { < self::calculateArabic($roman, $sum, $subtract); < } < < return $sum;
> return MathTrig\Arabic::evaluate($roman);
} /** * ATAN2. * * This function calculates the arc tangent of the two variables x and y. It is similar to * calculating the arc tangent of y รท 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) *
< * @param float $xCoordinate the x-coordinate of the point < * @param float $yCoordinate the y-coordinate of the point
> * @deprecated 1.18.0 > * Use the atan2 method in the MathTrig\Trig\Tangent class instead > * @see MathTrig\Trig\Tangent::atan2()
*
< * @return float|string the inverse tangent of the specified x- and y-coordinates, or a string containing an error
> * @param array|float $xCoordinate the x-coordinate of the point > * @param array|float $yCoordinate the y-coordinate of the point > * > * @return array|float|string the inverse tangent of the specified x- and y-coordinates, or a string containing an error
*/ public static function ATAN2($xCoordinate = null, $yCoordinate = null) {
< $xCoordinate = Functions::flattenSingleValue($xCoordinate); < $yCoordinate = Functions::flattenSingleValue($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) && ($yCoordinate == 0)) { < return Functions::DIV0(); < } < < return atan2($yCoordinate, $xCoordinate); < } < < return Functions::VALUE();
> return MathTrig\Trig\Tangent::atan2($xCoordinate, $yCoordinate);
} /** * BASE. * * Converts a number into a text representation with the given radix (base). * * Excel Function: * BASE(Number, Radix [Min_length]) *
> * @deprecated 1.18.0 * @param float $number > * Use the evaluate method in the MathTrig\Base class instead * @param float $radix > * @see MathTrig\Base::evaluate() * @param int $minLength > *
*
< * @return string the text representation with the given radix (base)
> * @return array|string the text representation with the given radix (base)
*/ public static function BASE($number, $radix, $minLength = null) {
< $number = Functions::flattenSingleValue($number); < $radix = Functions::flattenSingleValue($radix); < $minLength = Functions::flattenSingleValue($minLength); < < if (is_numeric($number) && is_numeric($radix) && ($minLength === null || is_numeric($minLength))) { < // Truncate to an integer < $number = (int) $number; < $radix = (int) $radix; < $minLength = (int) $minLength; < < if ($number < 0 || $number >= 2 ** 53 || $radix < 2 || $radix > 36) { < return Functions::NAN(); // Numeric range constraints < } < < $outcome = strtoupper((string) base_convert($number, 10, $radix)); < if ($minLength !== null) { < $outcome = str_pad($outcome, $minLength, '0', STR_PAD_LEFT); // String padding < } < < return $outcome; < } < < return Functions::VALUE();
> return MathTrig\Base::evaluate($number, $radix, $minLength);
} /** * 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]) *
> * @deprecated 1.17.0 * @param float $number the number you want to round > * Use the ceiling() method in the MathTrig\Ceiling class instead * @param float $significance the multiple to which you want to round > * @see MathTrig\Ceiling::ceiling() * > *
< * @return float|string Rounded Number, or a string containing an error
> * @return array|float|string Rounded Number, or a string containing an error
*/ public static function CEILING($number, $significance = null) {
< $number = Functions::flattenSingleValue($number); < $significance = Functions::flattenSingleValue($significance); < < if ( < ($significance === null) && < (Functions::getCompatibilityMode() == 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) * $significance; < } < < return Functions::NAN(); < } < < return Functions::VALUE();
> return MathTrig\Ceiling::ceiling($number, $significance);
} /** * 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) *
< * @param int $numObjs Number of different objects < * @param int $numInSet Number of objects in each combination
> * @deprecated 1.18.0 > * Use the withoutRepetition() method in the MathTrig\Combinations class instead > * @see MathTrig\Combinations::withoutRepetition()
*
< * @return int|string Number of combinations, or a string containing an error
> * @param array|int $numObjs Number of different objects > * @param array|int $numInSet Number of objects in each combination > * > * @return array|float|int|string Number of combinations, or a string containing an error
*/ public static function COMBIN($numObjs, $numInSet) {
< $numObjs = Functions::flattenSingleValue($numObjs); < $numInSet = Functions::flattenSingleValue($numInSet); < < if ((is_numeric($numObjs)) && (is_numeric($numInSet))) { < if ($numObjs < $numInSet) { < return Functions::NAN(); < } elseif ($numInSet < 0) { < return Functions::NAN(); < } < < return round(self::FACT($numObjs) / self::FACT($numObjs - $numInSet)) / self::FACT($numInSet); < } < < return Functions::VALUE();
> return MathTrig\Combinations::withoutRepetition($numObjs, $numInSet);
} /** * 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) *
< * @param float $number Number to round
> * @deprecated 1.18.0 > * Use the even() method in the MathTrig\Round class instead > * @see MathTrig\Round::even() > * > * @param array|float $number Number to round
*
< * @return int|string Rounded Number, or a string containing an error
> * @return array|float|int|string Rounded Number, or a string containing an error
*/ public static function EVEN($number) {
< $number = Functions::flattenSingleValue($number); < < if ($number === null) { < return 0; < } elseif (is_bool($number)) { < $number = (int) $number; < } < < if (is_numeric($number)) { < $significance = 2 * self::SIGN($number); < < return (int) self::CEILING($number, $significance);
> return MathTrig\Round::even($number);
}
< return Functions::VALUE();
> /** > * Helper function for Even. > * > * @deprecated 1.18.0 > * Use the evaluate() method in the MathTrig\Helpers class instead > * @see MathTrig\Helpers::getEven() > */ > public static function getEven(float $number): int > { > return (int) MathTrig\Helpers::getEven($number);
} /** * FACT. * * Returns the factorial of a number. * The factorial of a number is equal to 1*2*3*...* number. * * Excel Function: * FACT(factVal) *
< * @param float $factVal Factorial Value
> * @deprecated 1.18.0 > * Use the fact() method in the MathTrig\Factorial class instead > * @see MathTrig\Factorial::fact() > * > * @param array|float $factVal Factorial Value
*
< * @return int|string Factorial, or a string containing an error
> * @return array|float|int|string Factorial, or a string containing an error
*/ public static function FACT($factVal) {
< $factVal = Functions::flattenSingleValue($factVal); < < if (is_numeric($factVal)) { < if ($factVal < 0) { < return Functions::NAN(); < } < $factLoop = floor($factVal); < if ( < (Functions::getCompatibilityMode() == Functions::COMPATIBILITY_GNUMERIC) && < ($factVal > $factLoop) < ) { < return Functions::NAN(); < } < < $factorial = 1; < while ($factLoop > 1) { < $factorial *= $factLoop--; < } < < return $factorial; < } < < return Functions::VALUE();
> return MathTrig\Factorial::fact($factVal);
} /** * FACTDOUBLE. * * Returns the double factorial of a number. * * Excel Function: * FACTDOUBLE(factVal) *
< * @param float $factVal Factorial Value
> * @deprecated 1.18.0 > * Use the factDouble() method in the MathTrig\Factorial class instead > * @see MathTrig\Factorial::factDouble()
*
< * @return int|string Double Factorial, or a string containing an error
> * @param array|float $factVal Factorial Value > * > * @return array|float|int|string Double Factorial, or a string containing an error
*/ public static function FACTDOUBLE($factVal) {
< $factLoop = Functions::flattenSingleValue($factVal); < < if (is_numeric($factLoop)) { < $factLoop = floor($factLoop); < if ($factVal < 0) { < return Functions::NAN(); < } < $factorial = 1; < while ($factLoop > 1) { < $factorial *= $factLoop--; < --$factLoop; < } < < return $factorial; < } < < return Functions::VALUE();
> return MathTrig\Factorial::factDouble($factVal);
} /** * FLOOR. * * Rounds number down, toward zero, to the nearest multiple of significance. * * Excel Function: * FLOOR(number[,significance]) *
> * @deprecated 1.17.0 * @param float $number Number to round > * Use the floor() method in the MathTrig\Floor class instead * @param float $significance Significance > * @see MathTrig\Floor::floor() * > *
< * @return float|string Rounded Number, or a string containing an error
> * @return array|float|string Rounded Number, or a string containing an error
*/ public static function FLOOR($number, $significance = null) {
< $number = Functions::flattenSingleValue($number); < $significance = Functions::flattenSingleValue($significance); < < if ( < ($significance === null) && < (Functions::getCompatibilityMode() == Functions::COMPATIBILITY_GNUMERIC) < ) { < $significance = $number / abs($number); < } < < if ((is_numeric($number)) && (is_numeric($significance))) { < if ($significance == 0.0) { < return Functions::DIV0(); < } elseif ($number == 0.0) { < return 0.0; < } elseif (self::SIGN($significance) == 1) { < return floor($number / $significance) * $significance; < } elseif (self::SIGN($number) == -1 && self::SIGN($significance) == -1) { < return floor($number / $significance) * $significance; < } < < return Functions::NAN(); < } < < return Functions::VALUE();
> return MathTrig\Floor::floor($number, $significance);
} /** * FLOOR.MATH. * * Round a number down to the nearest integer or to the nearest multiple of significance. * * Excel Function: * FLOOR.MATH(number[,significance[,mode]]) *
> * @deprecated 1.17.0 * @param float $number Number to round > * Use the math() method in the MathTrig\Floor class instead * @param float $significance Significance > * @see MathTrig\Floor::math() * @param int $mode direction to round negative numbers > *
*
< * @return float|string Rounded Number, or a string containing an error
> * @return array|float|string Rounded Number, or a string containing an error
*/ public static function FLOORMATH($number, $significance = null, $mode = 0) {
< $number = Functions::flattenSingleValue($number); < $significance = Functions::flattenSingleValue($significance); < $mode = Functions::flattenSingleValue($mode); < < if (is_numeric($number) && $significance === null) { < $significance = $number / abs($number); < } < < if (is_numeric($number) && is_numeric($significance) && is_numeric($mode)) { < if ($significance == 0.0) { < return Functions::DIV0(); < } elseif ($number == 0.0) { < return 0.0; < } elseif (self::SIGN($significance) == -1 || (self::SIGN($number) == -1 && !empty($mode))) { < return ceil($number / $significance) * $significance; < } < < return floor($number / $significance) * $significance; < } < < return Functions::VALUE();
> return MathTrig\Floor::math($number, $significance, $mode);
} /** * FLOOR.PRECISE. * * Rounds number down, toward zero, to the nearest multiple of significance. * * Excel Function: * FLOOR.PRECISE(number[,significance]) *
> * @deprecated 1.17.0 * @param float $number Number to round > * Use the precise() method in the MathTrig\Floor class instead * @param float $significance Significance > * @see MathTrig\Floor::precise() * > *
< * @return float|string Rounded Number, or a string containing an error
> * @return array|float|string Rounded Number, or a string containing an error
*/ public static function FLOORPRECISE($number, $significance = 1) {
< $number = Functions::flattenSingleValue($number); < $significance = Functions::flattenSingleValue($significance); < < if ((is_numeric($number)) && (is_numeric($significance))) { < if ($significance == 0.0) { < return Functions::DIV0(); < } elseif ($number == 0.0) { < return 0.0; < } < < return floor($number / abs($significance)) * abs($significance);
> return MathTrig\Floor::precise($number, $significance);
}
< return Functions::VALUE(); < } < < private static function evaluateGCD($a, $b)
> /** > * INT. > * > * Casts a floating point value to an integer > * > * Excel Function: > * INT(number) > * > * @deprecated 1.17.0 > * Use the evaluate() method in the MathTrig\IntClass class instead > * @see MathTrig\IntClass::evaluate() > * > * @param array|float $number Number to cast to an integer > * > * @return array|int|string Integer value, or a string containing an error > */ > public static function INT($number)
{
< return $b ? self::evaluateGCD($b, $a % $b) : $a;
> return MathTrig\IntClass::evaluate($number);
} /** * 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[, ...]]) *
> * @deprecated 1.18.0 * @param mixed ...$args Data values > * Use the evaluate() method in the MathTrig\Gcd class instead * > * @see MathTrig\Gcd::evaluate() * @return int|mixed|string Greatest Common Divisor, or a string containing an error > *
*/ public static function GCD(...$args) {
< $args = Functions::flattenArray($args); < // Loop through arguments < foreach (Functions::flattenArray($args) as $value) { < if (!is_numeric($value)) { < return Functions::VALUE(); < } elseif ($value < 0) { < return Functions::NAN(); < } < } < < $gcd = (int) array_pop($args); < do { < $gcd = self::evaluateGCD($gcd, (int) array_pop($args)); < } while (!empty($args)); < < return $gcd; < } < < /** < * INT. < * < * Casts a floating point value to an integer < * < * Excel Function: < * INT(number) < * < * @param float $number Number to cast to an integer < * < * @return int|string Integer value, or a string containing an error < */ < public static function INT($number) < { < $number = Functions::flattenSingleValue($number); < < if ($number === null) { < return 0; < } elseif (is_bool($number)) { < return (int) $number; < } < if (is_numeric($number)) { < return (int) floor($number); < } < < return Functions::VALUE();
> return MathTrig\Gcd::evaluate(...$args);
} /** * 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[, ...]]) *
> * @deprecated 1.18.0 * @param mixed ...$args Data values > * Use the evaluate() method in the MathTrig\Lcm class instead * > * @see MathTrig\Lcm::evaluate() * @return int|string Lowest Common Multiplier, or a string containing an error > *
*/ public static function LCM(...$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 $returnValue;
> return MathTrig\Lcm::evaluate(...$args);
} /** * LOG_BASE. * * Returns the logarithm of a number to a specified base. The default base is 10. * * Excel Function: * LOG(number[,base]) *
> * @deprecated 1.18.0 * @param float $number The positive real number for which you want the logarithm > * Use the withBase() method in the MathTrig\Logarithms class instead * @param float $base The base of the logarithm. If base is omitted, it is assumed to be 10. > * @see MathTrig\Logarithms::withBase() * > *
< * @return float|string The result, or a string containing an error
> * @return array|float|string The result, or a string containing an error
*/
< public static function logBase($number = null, $base = 10)
> public static function logBase($number, $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, $base);
> return MathTrig\Logarithms::withBase($number, $base);
} /** * MDETERM. * * Returns the matrix determinant of an array. * * Excel Function: * MDETERM(array) *
> * @deprecated 1.18.0 * @param array $matrixValues A matrix of values > * Use the determinant() method in the MathTrig\MatrixFunctions class instead * > * @see MathTrig\MatrixFunctions::determinant() * @return float|string The result, or a string containing an error > *
*/ public static function MDETERM($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 $ex) { < return Functions::VALUE(); < }
> return MathTrig\MatrixFunctions::determinant($matrixValues);
} /** * MINVERSE. * * Returns the inverse matrix for the matrix stored in an array. * * Excel Function: * MINVERSE(array) *
> * @deprecated 1.18.0 * @param array $matrixValues A matrix of values > * Use the inverse() method in the MathTrig\MatrixFunctions class instead * > * @see MathTrig\MatrixFunctions::inverse() * @return array|string The result, or a string containing an error > *
*/ public static function MINVERSE($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 $ex) { < return Functions::VALUE(); < }
> return MathTrig\MatrixFunctions::inverse($matrixValues);
} /** * MMULT. *
> * @deprecated 1.18.0 * @param array $matrixData1 A matrix of values > * Use the multiply() method in the MathTrig\MatrixFunctions class instead * @param array $matrixData2 A matrix of values > * @see MathTrig\MatrixFunctions::multiply() * > *
* @return array|string The result, or a string containing an error */ public static function MMULT($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 $ex) { < return Functions::VALUE(); < }
> return MathTrig\MatrixFunctions::multiply($matrixData1, $matrixData2);
} /** * MOD. *
> * @deprecated 1.18.0 * @param int $a Dividend > * Use the mod() method in the MathTrig\Operations class instead * @param int $b Divisor > * @see MathTrig\Operations::mod() * > *
< * @return int|string Remainder, or a string containing an error
> * @return array|float|int|string Remainder, or a string containing an error
*/ public static function MOD($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, $b);
> return MathTrig\Operations::mod($a, $b);
} /** * MROUND. * * Rounds a number to the nearest multiple of a specified value *
> * @deprecated 1.17.0 * @param float $number Number to round > * Use the multiple() method in the MathTrig\Mround class instead * @param int $multiple Multiple to which you want to round $number > * @see MathTrig\Round::multiple() * > *
< * @param int $multiple Multiple to which you want to round $number
> * @param array|int $multiple Multiple to which you want to round $number
< * @return float|string Rounded Number, or a string containing an error
> * @return array|float|string Rounded Number, or a string containing an error
public static function MROUND($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) / $multiplier; < } < < return Functions::NAN(); < } < < return Functions::VALUE();
> return MathTrig\Round::multiple($number, $multiple);
} /** * MULTINOMIAL. * * Returns the ratio of the factorial of a sum of values to the product of factorials. *
> * @deprecated 1.18.0 * @param mixed[] $args An array of mixed values for the Data Series > * Use the multinomial method in the MathTrig\Factorial class instead * > * @see MathTrig\Factorial::multinomial() * @return float|string The result, or a string containing an error > *
*/ public static function MULTINOMIAL(...$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 / $divisor; < } < < return 0;
> return MathTrig\Factorial::multinomial(...$args);
} /** * ODD. * * Returns number rounded up to the nearest odd integer. *
< * @param float $number Number to round
> * @deprecated 1.18.0 > * Use the odd method in the MathTrig\Round class instead > * @see MathTrig\Round::odd() > * > * @param array|float $number Number to round
*
< * @return int|string Rounded Number, or a string containing an error
> * @return array|float|int|string Rounded Number, or a string containing an error
*/ public static function ODD($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) $result; < } < < return Functions::VALUE();
> return MathTrig\Round::odd($number);
} /** * POWER. * * Computes x raised to the power y. *
> * @deprecated 1.18.0 * @param float $x > * Use the evaluate method in the MathTrig\Power class instead * @param float $y > * @see MathTrig\Operations::power() * > *
< * @return float|string The result, or a string containing an error
> * @return array|float|int|string The result, or a string containing an error
*/ public static function POWER($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)) ? $result : Functions::NAN();
> return MathTrig\Operations::power($x, $y);
} /** * PRODUCT. * * PRODUCT returns the product of all the values and cells referenced in the argument list. *
> * @deprecated 1.18.0 * Excel Function: > * Use the product method in the MathTrig\Operations class instead * PRODUCT(value1[,value2[, ...]]) > * @see MathTrig\Operations::product() * > *
* @param mixed ...$args Data values *
< * @return float
> * @return float|string
*/ 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 $returnValue;
> return MathTrig\Operations::product(...$args);
} /** * QUOTIENT. * * QUOTIENT function returns the integer portion of a division. Numerator is the divided number * and denominator is the divisor. *
> * @deprecated 1.18.0 * Excel Function: > * Use the quotient method in the MathTrig\Operations class instead * QUOTIENT(value1[,value2[, ...]]) > * @see MathTrig\Operations::quotient() * > *
< * @param mixed ...$args Data values
> * @param mixed $numerator > * @param mixed $denominator
*
< * @return float
> * @return array|int|string
*/
< public static function QUOTIENT(...$args)
> public static function QUOTIENT($numerator, $denominator)
{
< // 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) $returnValue;
> return MathTrig\Operations::quotient($numerator, $denominator);
} /**
< * RAND.
> * RAND/RANDBETWEEN. > * > * @deprecated 1.18.0 > * Use the randBetween or randBetween method in the MathTrig\Random class instead > * @see MathTrig\Random::randBetween()
* * @param int $min Minimal value * @param int $max Maximal value *
< * @return int Random number
> * @return array|float|int|string Random number
*/ public static function RAND($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, $max);
> return MathTrig\Random::randBetween($min, $max);
}
> /** public static function ROMAN($aValue, $style = 0) > * ROMAN. { > * $aValue = Functions::flattenSingleValue($aValue); > * Converts a number to Roman numeral $style = ($style === null) ? 0 : (int) Functions::flattenSingleValue($style); > * if ((!is_numeric($aValue)) || ($aValue < 0) || ($aValue >= 4000)) { > * @deprecated 1.17.0 return Functions::VALUE(); > * Use the evaluate() method in the MathTrig\Roman class instead } > * @see MathTrig\Roman::evaluate() $aValue = (int) $aValue; > * if ($aValue == 0) { > * @param mixed $aValue Number to convert return ''; > * @param mixed $style Number indicating one of five possible forms } > * > * @return array|string Roman numeral, or a string containing an error $mill = ['', 'M', 'MM', 'MMM', 'MMMM', 'MMMMM']; > */
< $aValue = Functions::flattenSingleValue($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];
> return MathTrig\Roman::evaluate($aValue, $style);
< * @param float $number Number to round < * @param int $digits Number of digits to which you want to round $number
> * @deprecated 1.17.0 > * Use the up() method in the MathTrig\Round class instead > * @see MathTrig\Round::up() > * > * @param array|float $number Number to round > * @param array|int $digits Number of digits to which you want to round $number
< * @return float|string Rounded Number, or a string containing an error
> * @return array|float|string Rounded Number, or a string containing an error
< $number = Functions::flattenSingleValue($number); < $digits = Functions::flattenSingleValue($digits); < < if ((is_numeric($number)) && (is_numeric($digits))) { < if ($number == 0.0) { < return 0.0; < } < < if ($number < 0.0) { < return round($number - 0.5 * 0.1 ** $digits, $digits, PHP_ROUND_HALF_DOWN); < } < < return round($number + 0.5 * 0.1 ** $digits, $digits, PHP_ROUND_HALF_DOWN); < } < < return Functions::VALUE();
> return MathTrig\Round::up($number, $digits);
} /** * 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
> * @deprecated 1.17.0 > * Use the down() method in the MathTrig\Round class instead > * @see MathTrig\Round::down() > * > * @param array|float $number Number to round > * @param array|int $digits Number of digits to which you want to round $number
*
< * @return float|string Rounded Number, or a string containing an error
> * @return array|float|string Rounded Number, or a string containing an error
*/ public static function ROUNDDOWN($number, $digits) {
< $number = Functions::flattenSingleValue($number); < $digits = Functions::flattenSingleValue($digits); < < if ((is_numeric($number)) && (is_numeric($digits))) { < if ($number == 0.0) { < return 0.0; < } < < if ($number < 0.0) { < return round($number + 0.5 * 0.1 ** $digits, $digits, PHP_ROUND_HALF_UP); < } < < return round($number - 0.5 * 0.1 ** $digits, $digits, PHP_ROUND_HALF_UP); < } < < return Functions::VALUE();
> return MathTrig\Round::down($number, $digits);
} /** * SERIESSUM. * * Returns the sum of a power series *
< * @param mixed[] $args An array of mixed values for the Data Series
> * @deprecated 1.18.0 > * Use the evaluate method in the MathTrig\SeriesSum class instead > * @see MathTrig\SeriesSum::evaluate()
*
< * @return float|string The result, or a string containing an error
> * @param mixed $x Input value > * @param mixed $n Initial power > * @param mixed $m Step > * @param mixed[] $args An array of coefficients for the Data Series > * > * @return array|float|string The result, or a string containing an error
*/
< public static function SERIESSUM(...$args)
> public static function SERIESSUM($x, $n, $m, ...$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 $returnValue; < } < < return Functions::VALUE();
> return MathTrig\SeriesSum::evaluate($x, $n, $m, ...$args);
} /** * 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
> * @deprecated 1.18.0 > * Use the evaluate method in the MathTrig\Sign class instead > * @see MathTrig\Sign::evaluate() > * > * @param array|float $number Number to round
*
< * @return int|string sign value, or a string containing an error
> * @return array|int|string sign value, or a string containing an error
*/ public static function SIGN($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 MathTrig\Sign::evaluate($number);
}
< return Functions::VALUE();
> /** > * returnSign = returns 0/-1/+1. > * > * @deprecated 1.18.0 > * Use the returnSign method in the MathTrig\Helpers class instead > * @see MathTrig\Helpers::returnSign() > */ > public static function returnSign(float $number): int > { > return MathTrig\Helpers::returnSign($number);
} /** * SQRTPI. * * Returns the square root of (number * pi). *
< * @param float $number Number
> * @deprecated 1.18.0 > * Use the pi method in the MathTrig\Sqrt class instead > * @see MathTrig\Sqrt::sqrt() > * > * @param array|float $number Number
*
< * @return float|string Square Root of Number * Pi, or a string containing an error
> * @return array|float|string Square Root of Number * Pi, or a string containing an error
*/ public static function SQRTPI($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 || $cellFormula; < } < < return true; < }, < ARRAY_FILTER_USE_KEY < );
> return MathTrig\Sqrt::pi($number);
} /** * SUBTOTAL. * * Returns a subtotal in a list or database. *
> * @deprecated 1.18.0 * @param int $functionType > * Use the evaluate method in the MathTrig\Subtotal class instead * A number 1 to 11 that specifies which function to > * @see MathTrig\Subtotal::evaluate() * 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($aArgs); < } < } < < return Functions::VALUE();
> return MathTrig\Subtotal::evaluate($functionType, ...$args);
} /** * SUM. * * SUM computes the sum of all the values and cells referenced in the argument list. *
> * @deprecated 1.18.0 * Excel Function: > * Use the sumErroringStrings method in the MathTrig\Sum class instead * SUM(value1[,value2[, ...]]) > * @see MathTrig\Sum::sumErroringStrings() * > *
* @param mixed ...$args Data values *
< * @return float
> * @return float|string
*/ 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 $returnValue;
> return MathTrig\Sum::sumIgnoringStrings(...$args);
} /** * SUMIF. *
< * Counts the number of cells that contain numbers within the list of arguments
> * Totals the values of cells that contain numbers within the list of arguments
* * Excel Function:
< * SUMIF(value1[,value2[, ...]],condition)
> * SUMIF(range, criteria, [sum_range])
*
< * @param mixed $aArgs Data values < * @param string $condition the criteria that defines which cells will be summed < * @param mixed $sumArgs
> * @deprecated 1.17.0 > * Use the SUMIF() method in the Statistical\Conditional class instead > * @see Statistical\Conditional::SUMIF()
*
< * @return float
> * @param mixed $range Data values > * @param string $criteria the criteria that defines which cells will be summed > * @param mixed $sumRange > * > * @return null|float|string
*/
< public static function SUMIF($aArgs, $condition, $sumArgs = [])
> public static function SUMIF($range, $criteria, $sumRange = [])
{
< $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 $returnValue;
> return Statistical\Conditional::SUMIF($range, $criteria, $sumRange);
} /** * SUMIFS. *
< * Counts the number of cells that contain numbers within the list of arguments
> * Totals the values of cells that contain numbers within the list of arguments
* * Excel Function:
< * SUMIFS(value1[,value2[, ...]],condition)
> * SUMIFS(sum_range, criteria_range1, criteria1, [criteria_range2, criteria2], ...) > * > * @deprecated 1.17.0 > * Use the SUMIFS() method in the Statistical\Conditional class instead > * @see Statistical\Conditional::SUMIFS()
* * @param mixed $args Data values *
< * @return float
> * @return null|float|string
*/ public static function SUMIFS(...$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 $returnValue;
> return Statistical\Conditional::SUMIFS(...$args);
} /** * SUMPRODUCT. * * Excel Function: * SUMPRODUCT(value1[,value2[, ...]]) *
> * @deprecated 1.18.0 * @param mixed ...$args Data values > * Use the product method in the MathTrig\Sum class instead * > * @see MathTrig\Sum::product() * @return float|string The result, or a string containing an error > *
*/ public static function SUMPRODUCT(...$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);
> return MathTrig\Sum::product(...$args);
} /** * SUMSQ. * * SUMSQ returns the sum of the squares of the arguments *
> * @deprecated 1.18.0 * Excel Function: > * Use the sumSquare method in the MathTrig\SumSquares class instead * SUMSQ(value1[,value2[, ...]]) > * @see MathTrig\SumSquares::sumSquare() * > *
* @param mixed ...$args Data values *
< * @return float
> * @return float|string
*/ 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 $returnValue;
> return MathTrig\SumSquares::sumSquare(...$args);
} /** * SUMX2MY2. *
> * @deprecated 1.18.0 * @param mixed[] $matrixData1 Matrix #1 > * Use the sumXSquaredMinusYSquared method in the MathTrig\SumSquares class instead * @param mixed[] $matrixData2 Matrix #2 > * @see MathTrig\SumSquares::sumXSquaredMinusYSquared() * > *
< * @return float
> * @return float|string
*/ public static function SUMX2MY2($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 $result;
> return MathTrig\SumSquares::sumXSquaredMinusYSquared($matrixData1, $matrixData2);
} /** * SUMX2PY2. *
> * @deprecated 1.18.0 * @param mixed[] $matrixData1 Matrix #1 > * Use the sumXSquaredPlusYSquared method in the MathTrig\SumSquares class instead * @param mixed[] $matrixData2 Matrix #2 > * @see MathTrig\SumSquares::sumXSquaredPlusYSquared() * > *
< * @return float
> * @return float|string
*/ public static function SUMX2PY2($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 $result;
> return MathTrig\SumSquares::sumXSquaredPlusYSquared($matrixData1, $matrixData2);
} /** * SUMXMY2. *
> * @deprecated 1.18.0 * @param mixed[] $matrixData1 Matrix #1 > * Use the sumXMinusYSquared method in the MathTrig\SumSquares class instead * @param mixed[] $matrixData2 Matrix #2 > * @see MathTrig\SumSquares::sumXMinusYSquared() * > *
< * @return float
> * @return float|string
*/ public static function SUMXMY2($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 $result;
> return MathTrig\SumSquares::sumXMinusYSquared($matrixData1, $matrixData2);
} /** * TRUNC. * * Truncates value to the number of fractional digits by number_digits. *
> * @deprecated 1.17.0 * @param float $value > * Use the evaluate() method in the MathTrig\Trunc class instead * @param int $digits > * @see MathTrig\Trunc::evaluate() * > *
< * @return float|string Truncated value, or a string containing an error
> * @return array|float|string Truncated value, or a string containing an error
*/ public static function TRUNC($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)) / $adjust;
> return MathTrig\Trunc::evaluate($value, $digits);
} /** * SEC. * * Returns the secant of an angle. *
< * @param float $angle Number
> * @deprecated 1.18.0 > * Use the sec method in the MathTrig\Trig\Secant class instead > * @see MathTrig\Trig\Secant::sec() > * > * @param array|float $angle Number
*
< * @return float|string The secant of the angle
> * @return array|float|string The secant of the angle
*/ public static function SEC($angle) {
< $angle = Functions::flattenSingleValue($angle); < < if (!is_numeric($angle)) { < return Functions::VALUE(); < } < < $result = cos($angle); < < return ($result == 0.0) ? Functions::DIV0() : 1 / $result;
> return MathTrig\Trig\Secant::sec($angle);
} /** * SECH. * * Returns the hyperbolic secant of an angle. *
< * @param float $angle Number
> * @deprecated 1.18.0 > * Use the sech method in the MathTrig\Trig\Secant class instead > * @see MathTrig\Trig\Secant::sech() > * > * @param array|float $angle Number
*
< * @return float|string The hyperbolic secant of the angle
> * @return array|float|string The hyperbolic secant of the angle
*/ public static function SECH($angle) {
< $angle = Functions::flattenSingleValue($angle);
> return MathTrig\Trig\Secant::sech($angle); > }
< if (!is_numeric($angle)) { < return Functions::VALUE();
> /** > * CSC. > * > * Returns the cosecant of an angle. > * > * @deprecated 1.18.0 > * Use the csc method in the MathTrig\Trig\Cosecant class instead > * @see MathTrig\Trig\Cosecant::csc() > * > * @param array|float $angle Number > * > * @return array|float|string The cosecant of the angle > */ > public static function CSC($angle) > { > return MathTrig\Trig\Cosecant::csc($angle);
}
< $result = cosh($angle);
> /** > * CSCH. > * > * Returns the hyperbolic cosecant of an angle. > * > * @deprecated 1.18.0 > * Use the csch method in the MathTrig\Trig\Cosecant class instead > * @see MathTrig\Trig\Cosecant::csch() > * > * @param array|float $angle Number > * > * @return array|float|string The hyperbolic cosecant of the angle > */ > public static function CSCH($angle) > { > return MathTrig\Trig\Cosecant::csch($angle); > }
< return ($result == 0.0) ? Functions::DIV0() : 1 / $result;
> /** > * COT. > * > * Returns the cotangent of an angle. > * > * @deprecated 1.18.0 > * Use the cot method in the MathTrig\Trig\Cotangent class instead > * @see MathTrig\Trig\Cotangent::cot() > * > * @param array|float $angle Number > * > * @return array|float|string The cotangent of the angle > */ > public static function COT($angle) > { > return MathTrig\Trig\Cotangent::cot($angle);
} /**
< * CSC.
> * COTH.
*
< * Returns the cosecant of an angle.
> * Returns the hyperbolic cotangent of an angle. > * > * @deprecated 1.18.0 > * Use the coth method in the MathTrig\Trig\Cotangent class instead > * @see MathTrig\Trig\Cotangent::coth()
*
< * @param float $angle Number
> * @param array|float $angle Number
*
< * @return float|string The cosecant of the angle
> * @return array|float|string The hyperbolic cotangent of the angle
*/
< public static function CSC($angle)
> public static function COTH($angle) > { > return MathTrig\Trig\Cotangent::coth($angle); > } > > /** > * ACOT. > * > * Returns the arccotangent of a number. > * > * @deprecated 1.18.0 > * Use the acot method in the MathTrig\Trig\Cotangent class instead > * @see MathTrig\Trig\Cotangent::acot() > * > * @param array|float $number Number > * > * @return array|float|string The arccotangent of the number > */ > public static function ACOT($number) > { > return MathTrig\Trig\Cotangent::acot($number); > } > > /** > * Return NAN or value depending on argument. > * > * @deprecated 1.18.0 > * Use the numberOrNan method in the MathTrig\Helpers class instead > * @see MathTrig\Helpers::numberOrNan() > * > * @param float $result Number > * > * @return float|string > */ > public static function numberOrNan($result)
{
< $angle = Functions::flattenSingleValue($angle);
> return MathTrig\Helpers::numberOrNan($result); > }
< if (!is_numeric($angle)) { < return Functions::VALUE();
> /** > * ACOTH. > * > * Returns the hyperbolic arccotangent of a number. > * > * @deprecated 1.18.0 > * Use the acoth method in the MathTrig\Trig\Cotangent class instead > * @see MathTrig\Trig\Cotangent::acoth() > * > * @param array|float $number Number > * > * @return array|float|string The hyperbolic arccotangent of the number > */ > public static function ACOTH($number) > { > return MathTrig\Trig\Cotangent::acoth($number);
}
< $result = sin($angle);
> /** > * ROUND. > * > * Returns the result of builtin function round after validating args. > * > * @deprecated 1.17.0 > * Use the round() method in the MathTrig\Round class instead > * @see MathTrig\Round::round() > * > * @param array|mixed $number Should be numeric > * @param array|mixed $precision Should be int > * > * @return array|float|string Rounded number > */ > public static function builtinROUND($number, $precision) > { > return MathTrig\Round::round($number, $precision); > }
< return ($result == 0.0) ? Functions::DIV0() : 1 / $result;
> /** > * ABS. > * > * Returns the result of builtin function abs after validating args. > * > * @deprecated 1.18.0 > * Use the evaluate method in the MathTrig\Absolute class instead > * @see MathTrig\Absolute::evaluate() > * > * @param array|mixed $number Should be numeric > * > * @return array|float|int|string Rounded number > */ > public static function builtinABS($number) > { > return MathTrig\Absolute::evaluate($number);
} /**
< * CSCH.
> * ACOS.
*
< * Returns the hyperbolic cosecant of an angle.
> * @deprecated 1.18.0 > * Use the acos method in the MathTrig\Trig\Cosine class instead > * @see MathTrig\Trig\Cosine::acos() > * > * Returns the result of builtin function acos after validating args.
*
< * @param float $angle Number
> * @param array|float $number Should be numeric
*
< * @return float|string The hyperbolic cosecant of the angle
> * @return array|float|string Rounded number
*/
< public static function CSCH($angle)
> public static function builtinACOS($number)
{
< $angle = Functions::flattenSingleValue($angle);
> return MathTrig\Trig\Cosine::acos($number); > }
< if (!is_numeric($angle)) { < return Functions::VALUE();
> /** > * ACOSH. > * > * Returns the result of builtin function acosh after validating args. > * > * @deprecated 1.18.0 > * Use the acosh method in the MathTrig\Trig\Cosine class instead > * @see MathTrig\Trig\Cosine::acosh() > * > * @param array|float $number Should be numeric > * > * @return array|float|string Rounded number > */ > public static function builtinACOSH($number) > { > return MathTrig\Trig\Cosine::acosh($number);
}
< $result = sinh($angle);
> /** > * ASIN. > * > * Returns the result of builtin function asin after validating args. > * > * @deprecated 1.18.0 > * Use the asin method in the MathTrig\Trig\Sine class instead > * @see MathTrig\Trig\Sine::asin() > * > * @param array|float $number Should be numeric > * > * @return array|float|string Rounded number > */ > public static function builtinASIN($number) > { > return MathTrig\Trig\Sine::asin($number); > }
< return ($result == 0.0) ? Functions::DIV0() : 1 / $result;
> /** > * ASINH. > * > * Returns the result of builtin function asinh after validating args. > * > * @deprecated 1.18.0 > * Use the asinh method in the MathTrig\Trig\Sine class instead > * @see MathTrig\Trig\Sine::asinh() > * > * @param array|float $number Should be numeric > * > * @return array|float|string Rounded number > */ > public static function builtinASINH($number) > { > return MathTrig\Trig\Sine::asinh($number);
} /**
< * COT.
> * ATAN.
*
< * Returns the cotangent of an angle.
> * Returns the result of builtin function atan after validating args.
*
< * @param float $angle Number
> * @deprecated 1.18.0 > * Use the atan method in the MathTrig\Trig\Tangent class instead > * @see MathTrig\Trig\Tangent::atan()
*
< * @return float|string The cotangent of the angle
> * @param array|float $number Should be numeric > * > * @return array|float|string Rounded number
*/
< public static function COT($angle)
> public static function builtinATAN($number)
{
< $angle = Functions::flattenSingleValue($angle);
> return MathTrig\Trig\Tangent::atan($number); > }
< if (!is_numeric($angle)) { < return Functions::VALUE();
> /** > * ATANH. > * > * Returns the result of builtin function atanh after validating args. > * > * @deprecated 1.18.0 > * Use the atanh method in the MathTrig\Trig\Tangent class instead > * @see MathTrig\Trig\Tangent::atanh() > * > * @param array|float $number Should be numeric > * > * @return array|float|string Rounded number > */ > public static function builtinATANH($number) > { > return MathTrig\Trig\Tangent::atanh($number);
}
< $result = tan($angle);
> /** > * COS. > * > * Returns the result of builtin function cos after validating args. > * > * @deprecated 1.18.0 > * Use the cos method in the MathTrig\Trig\Cosine class instead > * @see MathTrig\Trig\Cosine::cos() > * > * @param array|mixed $number Should be numeric > * > * @return array|float|string Rounded number > */ > public static function builtinCOS($number) > { > return MathTrig\Trig\Cosine::cos($number); > }
< return ($result == 0.0) ? Functions::DIV0() : 1 / $result;
> /** > * COSH. > * > * Returns the result of builtin function cos after validating args. > * > * @deprecated 1.18.0 > * Use the cosh method in the MathTrig\Trig\Cosine class instead > * @see MathTrig\Trig\Cosine::cosh() > * > * @param array|mixed $number Should be numeric > * > * @return array|float|string Rounded number > */ > public static function builtinCOSH($number) > { > return MathTrig\Trig\Cosine::cosh($number);
} /**
< * COTH.
> * DEGREES.
*
< * Returns the hyperbolic cotangent of an angle.
> * Returns the result of builtin function rad2deg after validating args. > * > * @deprecated 1.18.0 > * Use the toDegrees method in the MathTrig\Angle class instead > * @see MathTrig\Angle::toDegrees()
*
< * @param float $angle Number
> * @param array|mixed $number Should be numeric
*
< * @return float|string The hyperbolic cotangent of the angle
> * @return array|float|string Rounded number
*/
< public static function COTH($angle)
> public static function builtinDEGREES($number)
{
< $angle = Functions::flattenSingleValue($angle);
> return MathTrig\Angle::toDegrees($number); > }
< if (!is_numeric($angle)) { < return Functions::VALUE();
> /** > * EXP. > * > * Returns the result of builtin function exp after validating args. > * > * @deprecated 1.18.0 > * Use the evaluate method in the MathTrig\Exp class instead > * @see MathTrig\Exp::evaluate() > * > * @param array|mixed $number Should be numeric > * > * @return array|float|string Rounded number > */ > public static function builtinEXP($number) > { > return MathTrig\Exp::evaluate($number);
}
< $result = tanh($angle);
> /** > * LN. > * > * Returns the result of builtin function log after validating args. > * > * @deprecated 1.18.0 > * Use the natural method in the MathTrig\Logarithms class instead > * @see MathTrig\Logarithms::natural() > * > * @param mixed $number Should be numeric > * > * @return array|float|string Rounded number > */ > public static function builtinLN($number) > { > return MathTrig\Logarithms::natural($number); > }
< return ($result == 0.0) ? Functions::DIV0() : 1 / $result;
> /** > * LOG10. > * > * Returns the result of builtin function log after validating args. > * > * @deprecated 1.18.0 > * Use the natural method in the MathTrig\Logarithms class instead > * @see MathTrig\Logarithms::base10() > * > * @param mixed $number Should be numeric > * > * @return array|float|string Rounded number > */ > public static function builtinLOG10($number) > { > return MathTrig\Logarithms::base10($number);
} /**
< * ACOT.
> * RADIANS.
*
< * Returns the arccotangent of a number.
> * Returns the result of builtin function deg2rad after validating args. > * > * @deprecated 1.18.0 > * Use the toRadians method in the MathTrig\Angle class instead > * @see MathTrig\Angle::toRadians()
*
< * @param float $number Number
> * @param array|mixed $number Should be numeric
*
< * @return float|string The arccotangent of the number
> * @return array|float|string Rounded number
*/
< public static function ACOT($number)
> public static function builtinRADIANS($number)
{
< $number = Functions::flattenSingleValue($number);
> return MathTrig\Angle::toRadians($number); > }
< if (!is_numeric($number)) { < return Functions::VALUE();
> /** > * SIN. > * > * Returns the result of builtin function sin after validating args. > * > * @deprecated 1.18.0 > * Use the sin method in the MathTrig\Trig\Sine class instead > * @see MathTrig\Trig\Sine::evaluate() > * > * @param array|mixed $number Should be numeric > * > * @return array|float|string sine > */ > public static function builtinSIN($number) > { > return MathTrig\Trig\Sine::sin($number);
}
< return (M_PI / 2) - atan($number);
> /** > * SINH. > * > * Returns the result of builtin function sinh after validating args. > * > * @deprecated 1.18.0 > * Use the sinh method in the MathTrig\Trig\Sine class instead > * @see MathTrig\Trig\Sine::sinh() > * > * @param array|mixed $number Should be numeric > * > * @return array|float|string Rounded number > */ > public static function builtinSINH($number) > { > return MathTrig\Trig\Sine::sinh($number);
} /**
< * ACOTH.
> * SQRT.
*
< * Returns the hyperbolic arccotangent of a number.
> * Returns the result of builtin function sqrt after validating args. > * > * @deprecated 1.18.0 > * Use the sqrt method in the MathTrig\Sqrt class instead > * @see MathTrig\Sqrt::sqrt()
*
< * @param float $number Number
> * @param array|mixed $number Should be numeric
*
< * @return float|string The hyperbolic arccotangent of the number
> * @return array|float|string Rounded number
*/
< public static function ACOTH($number)
> public static function builtinSQRT($number)
{
< $number = Functions::flattenSingleValue($number);
> return MathTrig\Sqrt::sqrt($number); > }
< if (!is_numeric($number)) { < return Functions::VALUE();
> /** > * TAN. > * > * Returns the result of builtin function tan after validating args. > * > * @deprecated 1.18.0 > * Use the tan method in the MathTrig\Trig\Tangent class instead > * @see MathTrig\Trig\Tangent::tan() > * > * @param array|mixed $number Should be numeric > * > * @return array|float|string Rounded number > */ > public static function builtinTAN($number) > { > return MathTrig\Trig\Tangent::tan($number);
}
< $result = log(($number + 1) / ($number - 1)) / 2;
> /** > * TANH. > * > * Returns the result of builtin function sinh after validating args. > * > * @deprecated 1.18.0 > * Use the tanh method in the MathTrig\Trig\Tangent class instead > * @see MathTrig\Trig\Tangent::tanh() > * > * @param array|mixed $number Should be numeric > * > * @return array|float|string Rounded number > */ > public static function builtinTANH($number) > { > return MathTrig\Trig\Tangent::tanh($number); > }
< return is_nan($result) ? Functions::NAN() : $result;
> /** > * Many functions accept null/false/true argument treated as 0/0/1. > * > * @deprecated 1.18.0 > * Use the validateNumericNullBool method in the MathTrig\Helpers class instead > * @see MathTrig\Helpers::validateNumericNullBool() > * > * @param mixed $number > */ > public static function nullFalseTrueToNumber(&$number): void > { > $number = Functions::flattenSingleValue($number); > if ($number === null) { > $number = 0; > } elseif (is_bool($number)) { > $number = (int) $number; > }
} }