Implementation of MS Excel's LOGNORM.DIST(), NORM.S.DIST(), F.DIST(), GAUSS() and GAMMA() functions (#1588)
* `GAUSS()` and `GAMMA()`, `NORM.S.DIST()`, `LOGNORM.DIST()` and `F.DIST()` function implementations, and further unit tests for a number of the statistical functions Co-authored-by: Adrien Crivelli <adrien.crivelli@gmail.com>
This commit is contained in:
Mark Baker
GitHub
parent
e084e89698
commit
57213deb64
@ -9,7 +9,7 @@ and this project adheres to [Semantic Versioning](https://semver.org).
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### Added
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- Nothing.
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- Implementation of the Excel `LOGNORM.DIST()`, `NORM.S.DIST()`, `GAMMA()` and `GAUSS()` functions. [#1588](https://github.com/PHPOffice/PhpSpreadsheet/pull/1588)
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### Changed
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@ -996,7 +996,7 @@ class Calculation
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],
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'F.DIST' => [
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'category' => Category::CATEGORY_STATISTICAL,
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'functionCall' => [Functions::class, 'DUMMY'],
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'functionCall' => [Statistical::class, 'FDIST2'],
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'argumentCount' => '4',
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],
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'F.DIST.RT' => [
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@ -1133,7 +1133,7 @@ class Calculation
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],
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'GAMMA' => [
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'category' => Category::CATEGORY_STATISTICAL,
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'functionCall' => [Functions::class, 'DUMMY'],
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'functionCall' => [Statistical::class, 'GAMMAFunction'],
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'argumentCount' => '1',
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],
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'GAMMADIST' => [
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@ -1168,7 +1168,7 @@ class Calculation
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],
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'GAUSS' => [
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'category' => Category::CATEGORY_STATISTICAL,
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'functionCall' => [Functions::class, 'DUMMY'],
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'functionCall' => [Statistical::class, 'GAUSS'],
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'argumentCount' => '1',
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],
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'GCD' => [
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@ -1577,7 +1577,7 @@ class Calculation
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],
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'LOGNORM.DIST' => [
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'category' => Category::CATEGORY_STATISTICAL,
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'functionCall' => [Functions::class, 'DUMMY'],
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'functionCall' => [Statistical::class, 'LOGNORMDIST2'],
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'argumentCount' => '4',
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],
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'LOGNORM.INV' => [
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@ -1782,7 +1782,7 @@ class Calculation
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],
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'NORM.S.DIST' => [
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'category' => Category::CATEGORY_STATISTICAL,
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'functionCall' => [Functions::class, 'DUMMY'],
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'functionCall' => [Statistical::class, 'NORMSDIST2'],
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'argumentCount' => '1,2',
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],
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'NORMSINV' => [
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@ -3131,8 +3131,8 @@ class Calculation
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}
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// Return strings wrapped in quotes
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return self::FORMULA_STRING_QUOTE . $value . self::FORMULA_STRING_QUOTE;
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// Convert numeric errors to NaN error
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} elseif ((is_float($value)) && ((is_nan($value)) || (is_infinite($value)))) {
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// Convert numeric errors to NaN error
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return Functions::NAN();
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}
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@ -3774,22 +3774,22 @@ class Calculation
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$pCellParent = ($pCell !== null) ? $pCell->getWorksheet() : null;
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$regexpMatchString = '/^(' . self::CALCULATION_REGEXP_FUNCTION .
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'|' . self::CALCULATION_REGEXP_CELLREF .
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'|' . self::CALCULATION_REGEXP_NUMBER .
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'|' . self::CALCULATION_REGEXP_STRING .
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'|' . self::CALCULATION_REGEXP_OPENBRACE .
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'|' . self::CALCULATION_REGEXP_NAMEDRANGE .
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'|' . self::CALCULATION_REGEXP_ERROR .
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')/sui';
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'|' . self::CALCULATION_REGEXP_CELLREF .
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'|' . self::CALCULATION_REGEXP_NUMBER .
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'|' . self::CALCULATION_REGEXP_STRING .
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'|' . self::CALCULATION_REGEXP_OPENBRACE .
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'|' . self::CALCULATION_REGEXP_NAMEDRANGE .
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'|' . self::CALCULATION_REGEXP_ERROR .
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')/sui';
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// Start with initialisation
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$index = 0;
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$stack = new Stack();
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$output = [];
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$expectingOperator = false; // We use this test in syntax-checking the expression to determine when a
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// - is a negation or + is a positive operator rather than an operation
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// - is a negation or + is a positive operator rather than an operation
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$expectingOperand = false; // We use this test in syntax-checking the expression to determine whether an operand
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// should be null in a function call
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// should be null in a function call
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// IF branch pruning
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// currently pending storeKey (last item of the storeKeysStack
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@ -4172,7 +4172,7 @@ class Calculation
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((preg_match('/^' . self::CALCULATION_REGEXP_CELLREF . '.*/Ui', substr($formula, $index), $match)) &&
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($output[count($output) - 1]['type'] == 'Cell Reference') ||
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(preg_match('/^' . self::CALCULATION_REGEXP_NAMEDRANGE . '.*/miu', substr($formula, $index), $match)) &&
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($output[count($output) - 1]['type'] == 'Named Range' || $output[count($output) - 1]['type'] == 'Value')
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($output[count($output) - 1]['type'] == 'Named Range' || $output[count($output) - 1]['type'] == 'Value')
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)) {
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while ($stack->count() > 0 &&
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($o2 = $stack->last()) &&
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@ -4951,7 +4951,7 @@ class Calculation
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} else {
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if ((Functions::getCompatibilityMode() != Functions::COMPATIBILITY_OPENOFFICE) &&
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((is_string($operand1) && !is_numeric($operand1) && strlen($operand1) > 0) ||
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(is_string($operand2) && !is_numeric($operand2) && strlen($operand2) > 0))) {
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(is_string($operand2) && !is_numeric($operand2) && strlen($operand2) > 0))) {
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$result = Functions::VALUE();
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} else {
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// If we're dealing with non-matrix operations, execute the necessary operation
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@ -4980,7 +4980,7 @@ class Calculation
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return false;
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}
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$result = $operand1 / $operand2;
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$result = $operand1 / $operand2;
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break;
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// Power
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@ -779,7 +779,7 @@ class Statistical
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/**
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* BETAINV.
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*
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* Returns the inverse of the beta distribution.
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* Returns the inverse of the Beta distribution.
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*
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* @param float $probability Probability at which you want to evaluate the distribution
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* @param float $alpha Parameter to the distribution
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@ -1475,6 +1475,62 @@ class Statistical
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return Functions::VALUE();
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}
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private static function betaFunction($a, $b)
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{
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return (self::gamma($a) * self::gamma($b)) / self::gamma($a + $b);
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}
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private static function regularizedIncompleteBeta($value, $a, $b)
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{
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return self::incompleteBeta($value, $a, $b) / self::betaFunction($a, $b);
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}
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/**
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* F.DIST.
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*
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* Returns the F probability distribution.
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* You can use this function to determine whether two data sets have different degrees of diversity.
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* For example, you can examine the test scores of men and women entering high school, and determine
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* if the variability in the females is different from that found in the males.
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*
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* @param float $value Value of the function
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* @param int $u The numerator degrees of freedom
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* @param int $v The denominator degrees of freedom
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* @param bool $cumulative If cumulative is TRUE, F.DIST returns the cumulative distribution function;
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* if FALSE, it returns the probability density function.
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*
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* @return float|string
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*/
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public static function FDIST2($value, $u, $v, $cumulative)
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{
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$value = Functions::flattenSingleValue($value);
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$u = Functions::flattenSingleValue($u);
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$v = Functions::flattenSingleValue($v);
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$cumulative = Functions::flattenSingleValue($cumulative);
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if (is_numeric($value) && is_numeric($u) && is_numeric($v)) {
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if ($value < 0 || $u < 1 || $v < 1) {
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return Functions::NAN();
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}
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$cumulative = (bool) $cumulative;
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$u = (int) $u;
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$v = (int) $v;
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if ($cumulative) {
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$adjustedValue = ($u * $value) / ($u * $value + $v);
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return self::incompleteBeta($adjustedValue, $u / 2, $v / 2);
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}
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return (self::gamma(($v + $u) / 2) / (self::gamma($u / 2) * self::gamma($v / 2))) *
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(($u / $v) ** ($u / 2)) *
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(($value ** (($u - 2) / 2)) / ((1 + ($u / $v) * $value) ** (($u + $v) / 2)));
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}
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return Functions::VALUE();
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}
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/**
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* FISHER.
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*
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@ -1556,6 +1612,27 @@ class Statistical
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return $bestFitLinear->getValueOfYForX($xValue);
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}
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/**
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* GAMMA.
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*
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* Return the gamma function value.
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*
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* @param float $value
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*
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* @return float|string The result, or a string containing an error
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*/
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public static function GAMMAFunction($value)
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{
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$value = Functions::flattenSingleValue($value);
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if (!is_numeric($value)) {
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return Functions::VALUE();
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} elseif ((((int) $value) == ((float) $value)) && $value <= 0.0) {
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return Functions::NAN();
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}
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return self::gamma($value);
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}
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/**
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* GAMMADIST.
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*
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@ -1593,7 +1670,7 @@ class Statistical
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/**
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* GAMMAINV.
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*
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* Returns the inverse of the beta distribution.
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* Returns the inverse of the Gamma distribution.
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*
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* @param float $probability Probability at which you want to evaluate the distribution
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* @param float $alpha Parameter to the distribution
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@ -1677,6 +1754,26 @@ class Statistical
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return Functions::VALUE();
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}
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/**
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* GAUSS.
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*
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* Calculates the probability that a member of a standard normal population will fall between
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* the mean and z standard deviations from the mean.
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*
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* @param float $value
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*
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* @return float|string The result, or a string containing an error
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*/
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public static function GAUSS($value)
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{
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$value = Functions::flattenSingleValue($value);
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if (!is_numeric($value)) {
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return Functions::VALUE();
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}
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return self::NORMDIST($value, 0, 1, true) - 0.5;
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}
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/**
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* GEOMEAN.
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*
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@ -2117,6 +2214,42 @@ class Statistical
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return Functions::VALUE();
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}
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/**
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* LOGNORM.DIST.
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*
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* Returns the lognormal distribution of x, where ln(x) is normally distributed
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* with parameters mean and standard_dev.
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*
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* @param float $value
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* @param float $mean
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* @param float $stdDev
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* @param bool $cumulative
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*
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* @return float|string The result, or a string containing an error
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*/
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public static function LOGNORMDIST2($value, $mean, $stdDev, $cumulative = false)
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{
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$value = Functions::flattenSingleValue($value);
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$mean = Functions::flattenSingleValue($mean);
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$stdDev = Functions::flattenSingleValue($stdDev);
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$cumulative = (bool) Functions::flattenSingleValue($cumulative);
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if ((is_numeric($value)) && (is_numeric($mean)) && (is_numeric($stdDev))) {
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if (($value <= 0) || ($stdDev <= 0)) {
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return Functions::NAN();
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}
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if ($cumulative === true) {
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return self::NORMSDIST2((log($value) - $mean) / $stdDev, true);
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}
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return (1 / (sqrt(2 * M_PI) * $stdDev * $value)) *
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exp(0 - ((log($value) - $mean) ** 2 / (2 * $stdDev ** 2)));
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}
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return Functions::VALUE();
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}
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/**
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* MAX.
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*
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@ -2623,10 +2756,36 @@ class Statistical
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public static function NORMSDIST($value)
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{
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$value = Functions::flattenSingleValue($value);
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if (!is_numeric($value)) {
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return Functions::VALUE();
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}
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return self::NORMDIST($value, 0, 1, true);
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}
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/**
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* NORM.S.DIST.
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*
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* Returns the standard normal cumulative distribution function. The distribution has
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* a mean of 0 (zero) and a standard deviation of one. Use this function in place of a
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* table of standard normal curve areas.
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*
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* @param float $value
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* @param bool $cumulative
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*
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* @return float|string The result, or a string containing an error
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*/
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public static function NORMSDIST2($value, $cumulative)
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{
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$value = Functions::flattenSingleValue($value);
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if (!is_numeric($value)) {
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return Functions::VALUE();
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}
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$cumulative = (bool) Functions::flattenSingleValue($cumulative);
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return self::NORMDIST($value, 0, 1, $cumulative);
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}
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/**
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* NORMSINV.
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*
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@ -0,0 +1,25 @@
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<?php
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namespace PhpOffice\PhpSpreadsheetTests\Calculation\Functions\Statistical;
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use PhpOffice\PhpSpreadsheet\Calculation\Statistical;
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use PHPUnit\Framework\TestCase;
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class FDist2Test extends TestCase
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{
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/**
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* @dataProvider providerFDIST2
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*
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* @param mixed $expectedResult
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*/
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public function testFDIST2($expectedResult, ...$args): void
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{
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$result = Statistical::FDIST2(...$args);
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self::assertEqualsWithDelta($expectedResult, $result, 1E-12);
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}
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public function providerFDIST2(): array
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{
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return require 'tests/data/Calculation/Statistical/FDIST2.php';
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}
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}
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@ -0,0 +1,26 @@
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<?php
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namespace PhpOffice\PhpSpreadsheetTests\Calculation\Functions\Statistical;
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use PhpOffice\PhpSpreadsheet\Calculation\Statistical;
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use PHPUnit\Framework\TestCase;
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class GammaTest extends TestCase
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{
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/**
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* @dataProvider providerGAMMA
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*
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* @param mixed $expectedResult
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* @param mixed $testValue
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*/
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public function testGAMMA($expectedResult, $testValue): void
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{
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$result = Statistical::GAMMAFunction($testValue);
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self::assertEqualsWithDelta($expectedResult, $result, 1E-12);
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}
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public function providerGAMMA(): array
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{
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return require 'tests/data/Calculation/Statistical/GAMMA.php';
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}
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}
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@ -0,0 +1,26 @@
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<?php
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namespace PhpOffice\PhpSpreadsheetTests\Calculation\Functions\Statistical;
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use PhpOffice\PhpSpreadsheet\Calculation\Statistical;
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use PHPUnit\Framework\TestCase;
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class GaussTest extends TestCase
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{
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/**
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* @dataProvider providerGAUSS
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*
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* @param mixed $expectedResult
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* @param mixed $testValue
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*/
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public function testGAUSS($expectedResult, $testValue): void
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{
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$result = Statistical::GAUSS($testValue);
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self::assertEqualsWithDelta($expectedResult, $result, 1E-12);
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}
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public function providerGAUSS(): array
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{
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return require 'tests/data/Calculation/Statistical/GAUSS.php';
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}
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}
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@ -0,0 +1,25 @@
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<?php
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namespace PhpOffice\PhpSpreadsheetTests\Calculation\Functions\Statistical;
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use PhpOffice\PhpSpreadsheet\Calculation\Statistical;
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use PHPUnit\Framework\TestCase;
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class LogNormDist2Test extends TestCase
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{
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/**
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* @dataProvider providerLOGNORMDIST2
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*
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* @param mixed $expectedResult
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*/
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public function testLOGNORMDIST2($expectedResult, ...$args): void
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{
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$result = Statistical::LOGNORMDIST2(...$args);
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self::assertEqualsWithDelta($expectedResult, $result, 1E-12);
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}
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public function providerLOGNORMDIST2(): array
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{
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return require 'tests/data/Calculation/Statistical/LOGNORMDIST2.php';
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}
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}
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@ -0,0 +1,25 @@
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<?php
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namespace PhpOffice\PhpSpreadsheetTests\Calculation\Functions\Statistical;
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use PhpOffice\PhpSpreadsheet\Calculation\Statistical;
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use PHPUnit\Framework\TestCase;
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class LogNormDistTest extends TestCase
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{
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/**
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* @dataProvider providerLOGNORMDIST
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*
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* @param mixed $expectedResult
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*/
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public function testLOGNORMDIST($expectedResult, ...$args): void
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{
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$result = Statistical::LOGNORMDIST(...$args);
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self::assertEqualsWithDelta($expectedResult, $result, 1E-12);
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}
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public function providerLOGNORMDIST(): array
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{
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return require 'tests/data/Calculation/Statistical/LOGNORMDIST.php';
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}
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}
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@ -0,0 +1,25 @@
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<?php
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namespace PhpOffice\PhpSpreadsheetTests\Calculation\Functions\Statistical;
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use PhpOffice\PhpSpreadsheet\Calculation\Statistical;
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use PHPUnit\Framework\TestCase;
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|
||||
class NormDistTest extends TestCase
|
||||
{
|
||||
/**
|
||||
* @dataProvider providerNORMDIST
|
||||
*
|
||||
* @param mixed $expectedResult
|
||||
*/
|
||||
public function testNORMDIST($expectedResult, ...$args): void
|
||||
{
|
||||
$result = Statistical::NORMDIST(...$args);
|
||||
self::assertEqualsWithDelta($expectedResult, $result, 1E-12);
|
||||
}
|
||||
|
||||
public function providerNORMDIST(): array
|
||||
{
|
||||
return require 'tests/data/Calculation/Statistical/NORMDIST.php';
|
||||
}
|
||||
}
|
||||
@ -0,0 +1,25 @@
|
||||
<?php
|
||||
|
||||
namespace PhpOffice\PhpSpreadsheetTests\Calculation\Functions\Statistical;
|
||||
|
||||
use PhpOffice\PhpSpreadsheet\Calculation\Statistical;
|
||||
use PHPUnit\Framework\TestCase;
|
||||
|
||||
class NormInvTest extends TestCase
|
||||
{
|
||||
/**
|
||||
* @dataProvider providerNORMINV
|
||||
*
|
||||
* @param mixed $expectedResult
|
||||
*/
|
||||
public function testNORMINV($expectedResult, ...$args): void
|
||||
{
|
||||
$result = Statistical::NORMINV(...$args);
|
||||
self::assertEqualsWithDelta($expectedResult, $result, 1E-12);
|
||||
}
|
||||
|
||||
public function providerNORMINV()
|
||||
{
|
||||
return require 'tests/data/Calculation/Statistical/NORMINV.php';
|
||||
}
|
||||
}
|
||||
@ -0,0 +1,25 @@
|
||||
<?php
|
||||
|
||||
namespace PhpOffice\PhpSpreadsheetTests\Calculation\Functions\Statistical;
|
||||
|
||||
use PhpOffice\PhpSpreadsheet\Calculation\Statistical;
|
||||
use PHPUnit\Framework\TestCase;
|
||||
|
||||
class NormSDist2Test extends TestCase
|
||||
{
|
||||
/**
|
||||
* @dataProvider providerNORMSDIST2
|
||||
*
|
||||
* @param mixed $expectedResult
|
||||
*/
|
||||
public function testNORMSDIST2($expectedResult, ...$args): void
|
||||
{
|
||||
$result = Statistical::NORMSDIST2(...$args);
|
||||
self::assertEqualsWithDelta($expectedResult, $result, 1E-12);
|
||||
}
|
||||
|
||||
public function providerNORMSDIST2(): array
|
||||
{
|
||||
return require 'tests/data/Calculation/Statistical/NORMSDIST2.php';
|
||||
}
|
||||
}
|
||||
@ -0,0 +1,26 @@
|
||||
<?php
|
||||
|
||||
namespace PhpOffice\PhpSpreadsheetTests\Calculation\Functions\Statistical;
|
||||
|
||||
use PhpOffice\PhpSpreadsheet\Calculation\Statistical;
|
||||
use PHPUnit\Framework\TestCase;
|
||||
|
||||
class NormSDistTest extends TestCase
|
||||
{
|
||||
/**
|
||||
* @dataProvider providerNORMSDIST
|
||||
*
|
||||
* @param mixed $expectedResult
|
||||
* @param mixed $testValue
|
||||
*/
|
||||
public function testNORMSDIST($expectedResult, $testValue): void
|
||||
{
|
||||
$result = Statistical::NORMSDIST($testValue);
|
||||
self::assertEqualsWithDelta($expectedResult, $result, 1E-12);
|
||||
}
|
||||
|
||||
public function providerNORMSDIST(): array
|
||||
{
|
||||
return require 'tests/data/Calculation/Statistical/NORMSDIST.php';
|
||||
}
|
||||
}
|
||||
@ -0,0 +1,26 @@
|
||||
<?php
|
||||
|
||||
namespace PhpOffice\PhpSpreadsheetTests\Calculation\Functions\Statistical;
|
||||
|
||||
use PhpOffice\PhpSpreadsheet\Calculation\Statistical;
|
||||
use PHPUnit\Framework\TestCase;
|
||||
|
||||
class NormSInvTest extends TestCase
|
||||
{
|
||||
/**
|
||||
* @dataProvider providerNORMSINV
|
||||
*
|
||||
* @param mixed $expectedResult
|
||||
* @param mixed $testValue
|
||||
*/
|
||||
public function testNORMSINV($expectedResult, $testValue): void
|
||||
{
|
||||
$result = Statistical::NORMSINV($testValue);
|
||||
self::assertEqualsWithDelta($expectedResult, $result, 1E-12);
|
||||
}
|
||||
|
||||
public function providerNORMSINV(): array
|
||||
{
|
||||
return require 'tests/data/Calculation/Statistical/NORMSINV.php';
|
||||
}
|
||||
}
|
||||
@ -0,0 +1,25 @@
|
||||
<?php
|
||||
|
||||
namespace PhpOffice\PhpSpreadsheetTests\Calculation\Functions\Statistical;
|
||||
|
||||
use PhpOffice\PhpSpreadsheet\Calculation\Statistical;
|
||||
use PHPUnit\Framework\TestCase;
|
||||
|
||||
class StandardizeTest extends TestCase
|
||||
{
|
||||
/**
|
||||
* @dataProvider providerSTANDARDIZE
|
||||
*
|
||||
* @param mixed $expectedResult
|
||||
*/
|
||||
public function testSTANDARDIZE($expectedResult, ...$args): void
|
||||
{
|
||||
$result = Statistical::STANDARDIZE(...$args);
|
||||
self::assertEqualsWithDelta($expectedResult, $result, 1E-12);
|
||||
}
|
||||
|
||||
public function providerSTANDARDIZE(): array
|
||||
{
|
||||
return require 'tests/data/Calculation/Statistical/STANDARDIZE.php';
|
||||
}
|
||||
}
|
||||
17
tests/data/Calculation/Statistical/FDIST2.php
Normal file
17
tests/data/Calculation/Statistical/FDIST2.php
Normal file
@ -0,0 +1,17 @@
|
||||
<?php
|
||||
|
||||
return [
|
||||
[0.0012237917087, 15.2069, 6, 4, false],
|
||||
[0.99000004300276, 15.2069, 6, 4, true],
|
||||
[0.0241472644208, 5, 1, 2, false],
|
||||
[0.84515425472852, 5, 1, 2, true],
|
||||
[0.0006669496615, 65, 2, 1, false],
|
||||
[0.9126295943339, 65, 2, 1, true],
|
||||
[4.7306581130012E-6, 65, 8, 5, false],
|
||||
[0.99987479238344, 65, 8, 5, true],
|
||||
[0.0017323823929, 7.5, 13, 8, false],
|
||||
[0.9961476916638, 7.5, 13, 8, true],
|
||||
['#NUM!', -1, 1, 2, false],
|
||||
['#NUM!', -1, 0.5, 2, false],
|
||||
['#VALUE!', 'NAN', 1, 2, false],
|
||||
];
|
||||
13
tests/data/Calculation/Statistical/GAMMA.php
Normal file
13
tests/data/Calculation/Statistical/GAMMA.php
Normal file
@ -0,0 +1,13 @@
|
||||
<?php
|
||||
|
||||
return [
|
||||
[1.329340388179, 2.5],
|
||||
[0.267865934620, -3.75],
|
||||
[9.513507698669, 0.1],
|
||||
[1.0, 1.0],
|
||||
[0.886226925453, 1.5],
|
||||
[17.837861981813, 4.8],
|
||||
[52.342777784553, 5.5],
|
||||
['#NUM!', -1],
|
||||
['#VALUE!', 'NAN'],
|
||||
];
|
||||
10
tests/data/Calculation/Statistical/GAUSS.php
Normal file
10
tests/data/Calculation/Statistical/GAUSS.php
Normal file
@ -0,0 +1,10 @@
|
||||
<?php
|
||||
|
||||
return [
|
||||
[0.4772498680518, 2],
|
||||
[-0.4999997133484, -5],
|
||||
[0.0, 0],
|
||||
[0.0398278372770, 0.1],
|
||||
[0.4937903346742, 2.5],
|
||||
['#VALUE!', 'NAN'],
|
||||
];
|
||||
9
tests/data/Calculation/Statistical/LOGNORMDIST.php
Normal file
9
tests/data/Calculation/Statistical/LOGNORMDIST.php
Normal file
@ -0,0 +1,9 @@
|
||||
<?php
|
||||
|
||||
return[
|
||||
[0.0390835557068, 4, 3.5, 1.2],
|
||||
[0.066417114799, 12, 10, 5],
|
||||
['#NUM!', -1.1, -2.2, 3.3],
|
||||
['#NUM!', 1.1, -2.2, -3.3],
|
||||
['#VALUE!', 'NAN', 0.1, 0.2],
|
||||
];
|
||||
23
tests/data/Calculation/Statistical/LOGNORMDIST2.php
Normal file
23
tests/data/Calculation/Statistical/LOGNORMDIST2.php
Normal file
@ -0,0 +1,23 @@
|
||||
<?php
|
||||
|
||||
return[
|
||||
[0.0390835557068, 4, 3.5, 1.2, true],
|
||||
[0.0176175966818, 4, 3.5, 1.2, false],
|
||||
[0.0162328457851, 0.5, 10, 5, true],
|
||||
[0.0162104821842, 0.5, 10, 5, false],
|
||||
[0.0664171147992, 12, 10, 5, true],
|
||||
[0.0021488646273, 12, 10, 5, false],
|
||||
[0.0201708646513, 8, 7, 2.4, true],
|
||||
[0.0025400389694, 8, 7, 2.4, false],
|
||||
[0.0390835557068, 4, 3.5, 1.2, true],
|
||||
[0.0176175966818, 4, 3.5, 1.2, false],
|
||||
[0.0847348867430, 3, 2.5, 1.02, true],
|
||||
[0.0507335863525, 3, 2.5, 1.02, false],
|
||||
[0.2618068896629, 1.1, 2.2, 3.3, true],
|
||||
[0.0896756593248, 1.1, 2.2, 3.3, false],
|
||||
[0.7566441984111, 1.1, -2.2, 3.3, true],
|
||||
[0.0862879718374, 1.1, -2.2, 3.3, false],
|
||||
['#NUM!', -1.1, -2.2, 3.3, true],
|
||||
['#NUM!', 1.1, -2.2, -3.3, true],
|
||||
['#VALUE!', 'NAN', 0.1, 0.2, true],
|
||||
];
|
||||
11
tests/data/Calculation/Statistical/NORMDIST.php
Normal file
11
tests/data/Calculation/Statistical/NORMDIST.php
Normal file
@ -0,0 +1,11 @@
|
||||
<?php
|
||||
|
||||
return [
|
||||
[0.9087887802741, 42, 40, 1.5, true],
|
||||
[0.109340049784, 42, 40, 1.5, false],
|
||||
[0.0176032663382, 50, 40, 20, false],
|
||||
[0.2524925375469, 0.8, 1, 0.3, true],
|
||||
[0.8413447460685, 68, 65.5, 2.5, true],
|
||||
['#NUM!', 42, 40, -1.5, true],
|
||||
['#VALUE!', 42, 'ALPHA', 1.5, true],
|
||||
];
|
||||
11
tests/data/Calculation/Statistical/NORMINV.php
Normal file
11
tests/data/Calculation/Statistical/NORMINV.php
Normal file
@ -0,0 +1,11 @@
|
||||
<?php
|
||||
|
||||
return [
|
||||
[42.000002008416, 0.908789, 40, 1.5],
|
||||
[5.50669420572, 0.6, 5, 2],
|
||||
[63.813775624441, 0.25, 65.5, 2.5],
|
||||
['#NUM!', -0.5, 2.2, 3.3],
|
||||
['#NUM!', 1.5, 2.2, 3.3],
|
||||
['#NUM!', 0.5, 2.2, -3.3],
|
||||
['#VALUE!', 'NAN', 0.1, 0.2],
|
||||
];
|
||||
12
tests/data/Calculation/Statistical/NORMSDIST.php
Normal file
12
tests/data/Calculation/Statistical/NORMSDIST.php
Normal file
@ -0,0 +1,12 @@
|
||||
<?php
|
||||
|
||||
return [
|
||||
[0.908788780274, 1.333333333333],
|
||||
[0.788144601416, 0.8],
|
||||
[0.841344746068, 1.0],
|
||||
[0.158655253931, -1.0],
|
||||
[0.066807201269, -1.5],
|
||||
[0.5, 0],
|
||||
[0.989275889978, 2.3],
|
||||
['#VALUE!', 'NAN'],
|
||||
];
|
||||
17
tests/data/Calculation/Statistical/NORMSDIST2.php
Normal file
17
tests/data/Calculation/Statistical/NORMSDIST2.php
Normal file
@ -0,0 +1,17 @@
|
||||
<?php
|
||||
|
||||
return [
|
||||
[0.908788780274, 1.333333333333, true],
|
||||
[0.164010074676, 1.333333333333, false],
|
||||
[0.352065326764, 0.5, false],
|
||||
[0.788144601416, 0.8, true],
|
||||
[0.841344746068, 1.0, true],
|
||||
[0.158655253931, -1.0, true],
|
||||
[0.066807201269, -1.5, true],
|
||||
[0.129517595666, -1.5, false],
|
||||
[0.5, 0, true],
|
||||
[0.398942280401, 0, false],
|
||||
[0.989275889978, 2.3, true],
|
||||
[0.028327037742, 2.3, false],
|
||||
['#VALUE!', 'NAN', true],
|
||||
];
|
||||
8
tests/data/Calculation/Statistical/NORMSINV.php
Normal file
8
tests/data/Calculation/Statistical/NORMSINV.php
Normal file
@ -0,0 +1,8 @@
|
||||
<?php
|
||||
|
||||
return [
|
||||
[1.33333467227723, 0.908789],
|
||||
[-0.67448975022342, 0.25],
|
||||
[0.12566134687610, 0.55],
|
||||
[1.28155156414015, 0.9],
|
||||
];
|
||||
12
tests/data/Calculation/Statistical/STANDARDIZE.php
Normal file
12
tests/data/Calculation/Statistical/STANDARDIZE.php
Normal file
@ -0,0 +1,12 @@
|
||||
<?php
|
||||
|
||||
return [
|
||||
[1.333333333333, 42, 40, 1.5],
|
||||
[0.25, 5.5, 5, 2],
|
||||
[20, 5.5, 1.5, 0.2],
|
||||
[-2.0, 12, 15, 1.5],
|
||||
[-0.4, -2, 0, 5],
|
||||
[-0.676, 63.81, 65.5, 2.5],
|
||||
['#NUM!', 1.1, -2.2, -3.3],
|
||||
['#VALUE!', 'NAN', 0.1, 0.2],
|
||||
];
|
||||
Loading…
Reference in New Issue
Block a user