PHPOffice /
PhpSpreadsheet
| Total Complexity | 324 |
| Total Lines | 1843 |
| Duplicated Lines | 0 % |
| Coverage | 93.99% |
| Changes | 1 | ||
| Bugs | 0 | Features | 1 |
Complex classes like MathTrig often do a lot of different things. To break such a class down, we need to identify a cohesive component within that class. A common approach to find such a component is to look for fields/methods that share the same prefixes, or suffixes.
Once you have determined the fields that belong together, you can apply the Extract Class refactoring. If the component makes sense as a sub-class, Extract Subclass is also a candidate, and is often faster.
While breaking up the class, it is a good idea to analyze how other classes use MathTrig, and based on these observations, apply Extract Interface, too.
| 1 | <?php |
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| 8 | class MathTrig |
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| 9 | { |
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| 10 | // |
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| 11 | // Private method to return an array of the factors of the input value |
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| 12 | // |
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| 13 | 12 | private static function factors($value) |
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| 14 | { |
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| 15 | 12 | $startVal = floor(sqrt($value)); |
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| 16 | |||
| 17 | 12 | $factorArray = []; |
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| 18 | 12 | for ($i = $startVal; $i > 1; --$i) { |
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| 19 | 11 | if (($value % $i) == 0) { |
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| 20 | 8 | $factorArray = array_merge($factorArray, self::factors($value / $i)); |
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| 21 | 8 | $factorArray = array_merge($factorArray, self::factors($i)); |
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| 22 | 8 | if ($i <= sqrt($value)) { |
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| 23 | 8 | break; |
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| 24 | } |
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| 25 | } |
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| 26 | } |
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| 27 | 12 | if (!empty($factorArray)) { |
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| 28 | 8 | rsort($factorArray); |
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| 29 | |||
| 30 | 8 | return $factorArray; |
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| 31 | } |
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| 32 | |||
| 33 | 12 | return [(int) $value]; |
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| 34 | } |
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| 35 | |||
| 36 | 6 | private static function romanCut($num, $n) |
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| 39 | } |
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| 40 | |||
| 41 | /** |
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| 42 | * ARABIC. |
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| 43 | * |
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| 44 | * Converts a Roman numeral to an Arabic numeral. |
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| 45 | * |
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| 46 | * Excel Function: |
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| 47 | * ARABIC(text) |
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| 48 | * |
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| 49 | * @category Mathematical and Trigonometric Functions |
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| 50 | * |
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| 51 | * @param string $roman |
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| 52 | * |
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| 53 | * @return int|string the arabic numberal contrived from the roman numeral |
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| 54 | */ |
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| 55 | 14 | public static function ARABIC($roman) |
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| 56 | { |
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| 57 | // An empty string should return 0 |
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| 58 | 14 | $roman = substr(trim(strtoupper((string) Functions::flattenSingleValue($roman))), 0, 255); |
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| 59 | 14 | if ($roman === '') { |
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| 60 | 1 | return 0; |
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| 61 | } |
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| 62 | |||
| 63 | // Convert the roman numeral to an arabic number |
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| 64 | 13 | $negativeNumber = $roman[0] === '-'; |
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| 65 | 13 | if ($negativeNumber) { |
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| 66 | 1 | $roman = substr($roman, 1); |
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| 67 | } |
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| 68 | |||
| 69 | try { |
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| 70 | 13 | $arabic = self::calculateArabic(str_split($roman)); |
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| 71 | 1 | } catch (\Exception $e) { |
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| 72 | 1 | return Functions::VALUE(); // Invalid character detected |
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| 73 | } |
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| 74 | |||
| 75 | 12 | if ($negativeNumber) { |
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| 76 | 1 | $arabic *= -1; // The number should be negative |
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| 77 | } |
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| 78 | |||
| 79 | 12 | return $arabic; |
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| 80 | } |
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| 81 | |||
| 82 | /** |
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| 83 | * Recursively calculate the arabic value of a roman numeral. |
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| 84 | * |
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| 85 | * @param array $roman |
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| 86 | * @param int $sum |
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| 87 | * @param int $subtract |
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| 88 | * |
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| 89 | * @return int |
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| 90 | */ |
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| 91 | 13 | protected static function calculateArabic(array $roman, &$sum = 0, $subtract = 0) |
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| 121 | } |
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| 122 | |||
| 123 | /** |
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| 124 | * ATAN2. |
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| 125 | * |
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| 126 | * This function calculates the arc tangent of the two variables x and y. It is similar to |
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| 127 | * calculating the arc tangent of y ÷ x, except that the signs of both arguments are used |
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| 128 | * to determine the quadrant of the result. |
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| 129 | * The arctangent is the angle from the x-axis to a line containing the origin (0, 0) and a |
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| 130 | * point with coordinates (xCoordinate, yCoordinate). The angle is given in radians between |
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| 131 | * -pi and pi, excluding -pi. |
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| 132 | * |
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| 133 | * Note that the Excel ATAN2() function accepts its arguments in the reverse order to the standard |
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| 134 | * PHP atan2() function, so we need to reverse them here before calling the PHP atan() function. |
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| 135 | * |
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| 136 | * Excel Function: |
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| 137 | * ATAN2(xCoordinate,yCoordinate) |
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| 138 | * |
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| 139 | * @category Mathematical and Trigonometric Functions |
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| 140 | * |
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| 141 | * @param float $xCoordinate the x-coordinate of the point |
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| 142 | * @param float $yCoordinate the y-coordinate of the point |
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| 143 | * |
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| 144 | * @return float|string the inverse tangent of the specified x- and y-coordinates, or a string containing an error |
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| 145 | */ |
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| 146 | 16 | public static function ATAN2($xCoordinate = null, $yCoordinate = null) |
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| 167 | } |
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| 168 | |||
| 169 | /** |
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| 170 | * BASE. |
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| 171 | * |
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| 172 | * Converts a number into a text representation with the given radix (base). |
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| 173 | * |
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| 174 | * Excel Function: |
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| 175 | * BASE(Number, Radix [Min_length]) |
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| 176 | * |
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| 177 | * @category Mathematical and Trigonometric Functions |
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| 178 | * |
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| 179 | * @param float $number |
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| 180 | * @param float $radix |
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| 181 | * @param int $minLength |
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| 182 | * |
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| 183 | * @return string the text representation with the given radix (base) |
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| 184 | */ |
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| 185 | 10 | public static function BASE($number, $radix, $minLength = null) |
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| 186 | { |
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| 187 | 10 | $number = Functions::flattenSingleValue($number); |
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| 188 | 10 | $radix = Functions::flattenSingleValue($radix); |
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| 189 | 10 | $minLength = Functions::flattenSingleValue($minLength); |
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| 190 | |||
| 191 | 10 | if (is_numeric($number) && is_numeric($radix) && ($minLength === null || is_numeric($minLength))) { |
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| 192 | // Truncate to an integer |
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| 193 | 7 | $number = (int) $number; |
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| 194 | 7 | $radix = (int) $radix; |
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| 195 | 7 | $minLength = (int) $minLength; |
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| 196 | |||
| 197 | 7 | if ($number < 0 || $number >= 2 ** 53 || $radix < 2 || $radix > 36) { |
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| 198 | 2 | return Functions::NAN(); // Numeric range constraints |
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| 199 | } |
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| 200 | |||
| 201 | 5 | $outcome = strtoupper((string) base_convert($number, 10, $radix)); |
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| 202 | 5 | if ($minLength !== null) { |
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| 203 | 5 | $outcome = str_pad($outcome, $minLength, '0', STR_PAD_LEFT); // String padding |
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| 204 | } |
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| 205 | |||
| 206 | 5 | return $outcome; |
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| 207 | } |
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| 208 | |||
| 209 | 3 | return Functions::VALUE(); |
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| 210 | } |
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| 211 | |||
| 212 | /** |
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| 213 | * CEILING. |
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| 214 | * |
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| 215 | * Returns number rounded up, away from zero, to the nearest multiple of significance. |
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| 216 | * For example, if you want to avoid using pennies in your prices and your product is |
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| 217 | * priced at $4.42, use the formula =CEILING(4.42,0.05) to round prices up to the |
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| 218 | * nearest nickel. |
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| 219 | * |
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| 220 | * Excel Function: |
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| 221 | * CEILING(number[,significance]) |
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| 222 | * |
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| 223 | * @category Mathematical and Trigonometric Functions |
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| 224 | * |
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| 225 | * @param float $number the number you want to round |
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| 226 | * @param float $significance the multiple to which you want to round |
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| 227 | * |
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| 228 | * @return float|string Rounded Number, or a string containing an error |
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| 229 | */ |
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| 230 | 43 | public static function CEILING($number, $significance = null) |
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| 231 | { |
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| 232 | 43 | $number = Functions::flattenSingleValue($number); |
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| 233 | 43 | $significance = Functions::flattenSingleValue($significance); |
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| 234 | |||
| 235 | 43 | if (($significance === null) && |
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| 236 | 43 | (Functions::getCompatibilityMode() == Functions::COMPATIBILITY_GNUMERIC)) { |
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| 237 | $significance = $number / abs($number); |
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| 238 | } |
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| 239 | |||
| 240 | 43 | if ((is_numeric($number)) && (is_numeric($significance))) { |
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| 241 | 41 | if (($number == 0.0) || ($significance == 0.0)) { |
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| 242 | 3 | return 0.0; |
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| 243 | 38 | } elseif (self::SIGN($number) == self::SIGN($significance)) { |
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| 244 | 35 | return ceil($number / $significance) * $significance; |
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| 245 | } |
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| 246 | |||
| 247 | 3 | return Functions::NAN(); |
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| 248 | } |
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| 249 | |||
| 250 | 2 | return Functions::VALUE(); |
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| 251 | } |
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| 252 | |||
| 253 | /** |
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| 254 | * COMBIN. |
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| 255 | * |
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| 256 | * Returns the number of combinations for a given number of items. Use COMBIN to |
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| 257 | * determine the total possible number of groups for a given number of items. |
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| 258 | * |
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| 259 | * Excel Function: |
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| 260 | * COMBIN(numObjs,numInSet) |
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| 261 | * |
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| 262 | * @category Mathematical and Trigonometric Functions |
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| 263 | * |
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| 264 | * @param int $numObjs Number of different objects |
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| 265 | * @param int $numInSet Number of objects in each combination |
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| 266 | * |
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| 267 | * @return int|string Number of combinations, or a string containing an error |
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| 268 | */ |
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| 269 | 35 | public static function COMBIN($numObjs, $numInSet) |
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| 270 | { |
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| 271 | 35 | $numObjs = Functions::flattenSingleValue($numObjs); |
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| 272 | 35 | $numInSet = Functions::flattenSingleValue($numInSet); |
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| 273 | |||
| 274 | 35 | if ((is_numeric($numObjs)) && (is_numeric($numInSet))) { |
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| 275 | 34 | if ($numObjs < $numInSet) { |
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| 276 | 3 | return Functions::NAN(); |
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| 277 | 31 | } elseif ($numInSet < 0) { |
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| 278 | 2 | return Functions::NAN(); |
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| 279 | } |
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| 280 | |||
| 281 | 29 | return round(self::FACT($numObjs) / self::FACT($numObjs - $numInSet)) / self::FACT($numInSet); |
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| 282 | } |
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| 283 | |||
| 284 | 1 | return Functions::VALUE(); |
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| 285 | } |
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| 286 | |||
| 287 | /** |
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| 288 | * EVEN. |
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| 289 | * |
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| 290 | * Returns number rounded up to the nearest even integer. |
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| 291 | * You can use this function for processing items that come in twos. For example, |
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| 292 | * a packing crate accepts rows of one or two items. The crate is full when |
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| 293 | * the number of items, rounded up to the nearest two, matches the crate's |
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| 294 | * capacity. |
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| 295 | * |
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| 296 | * Excel Function: |
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| 297 | * EVEN(number) |
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| 298 | * |
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| 299 | * @category Mathematical and Trigonometric Functions |
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| 300 | * |
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| 301 | * @param float $number Number to round |
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| 302 | * |
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| 303 | * @return int|string Rounded Number, or a string containing an error |
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| 304 | */ |
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| 305 | 25 | public static function EVEN($number) |
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| 306 | { |
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| 307 | 25 | $number = Functions::flattenSingleValue($number); |
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| 308 | |||
| 309 | 25 | if ($number === null) { |
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| 310 | 1 | return 0; |
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| 311 | 24 | } elseif (is_bool($number)) { |
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| 312 | 2 | $number = (int) $number; |
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| 313 | } |
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| 314 | |||
| 315 | 24 | if (is_numeric($number)) { |
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| 316 | 23 | $significance = 2 * self::SIGN($number); |
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| 317 | |||
| 318 | 23 | return (int) self::CEILING($number, $significance); |
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| 319 | } |
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| 320 | |||
| 321 | 1 | return Functions::VALUE(); |
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| 322 | } |
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| 323 | |||
| 324 | /** |
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| 325 | * FACT. |
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| 326 | * |
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| 327 | * Returns the factorial of a number. |
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| 328 | * The factorial of a number is equal to 1*2*3*...* number. |
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| 329 | * |
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| 330 | * Excel Function: |
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| 331 | * FACT(factVal) |
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| 332 | * |
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| 333 | * @category Mathematical and Trigonometric Functions |
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| 334 | * |
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| 335 | * @param float $factVal Factorial Value |
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| 336 | * |
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| 337 | * @return int|string Factorial, or a string containing an error |
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| 338 | */ |
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| 339 | 167 | public static function FACT($factVal) |
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| 362 | } |
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| 363 | |||
| 364 | /** |
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| 365 | * FACTDOUBLE. |
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| 366 | * |
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| 367 | * Returns the double factorial of a number. |
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| 368 | * |
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| 369 | * Excel Function: |
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| 370 | * FACTDOUBLE(factVal) |
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| 371 | * |
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| 372 | * @category Mathematical and Trigonometric Functions |
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| 373 | * |
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| 374 | * @param float $factVal Factorial Value |
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| 375 | * |
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| 376 | * @return int|string Double Factorial, or a string containing an error |
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| 377 | */ |
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| 378 | 8 | public static function FACTDOUBLE($factVal) |
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| 379 | { |
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| 380 | 8 | $factLoop = Functions::flattenSingleValue($factVal); |
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| 381 | |||
| 382 | 8 | if (is_numeric($factLoop)) { |
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| 383 | 7 | $factLoop = floor($factLoop); |
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| 384 | 7 | if ($factVal < 0) { |
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| 385 | 1 | return Functions::NAN(); |
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| 386 | } |
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| 387 | 6 | $factorial = 1; |
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| 388 | 6 | while ($factLoop > 1) { |
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| 389 | 5 | $factorial *= $factLoop--; |
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| 390 | 5 | --$factLoop; |
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| 391 | } |
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| 392 | |||
| 393 | 6 | return $factorial; |
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| 394 | } |
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| 395 | |||
| 396 | 1 | return Functions::VALUE(); |
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| 397 | } |
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| 398 | |||
| 399 | /** |
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| 400 | * FLOOR. |
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| 401 | * |
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| 402 | * Rounds number down, toward zero, to the nearest multiple of significance. |
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| 403 | * |
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| 404 | * Excel Function: |
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| 405 | * FLOOR(number[,significance]) |
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| 406 | * |
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| 407 | * @category Mathematical and Trigonometric Functions |
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| 408 | * |
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| 409 | * @param float $number Number to round |
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| 410 | * @param float $significance Significance |
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| 411 | * |
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| 412 | * @return float|string Rounded Number, or a string containing an error |
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| 413 | */ |
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| 414 | 11 | public static function FLOOR($number, $significance = null) |
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| 439 | } |
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| 440 | |||
| 441 | /** |
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| 442 | * FLOOR.MATH. |
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| 443 | * |
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| 444 | * Round a number down to the nearest integer or to the nearest multiple of significance. |
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| 445 | * |
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| 446 | * Excel Function: |
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| 447 | * FLOOR.MATH(number[,significance[,mode]]) |
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| 448 | * |
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| 449 | * @category Mathematical and Trigonometric Functions |
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| 450 | * |
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| 451 | * @param float $number Number to round |
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| 452 | * @param float $significance Significance |
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| 453 | * @param int $mode direction to round negative numbers |
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| 454 | * |
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| 455 | * @return float|string Rounded Number, or a string containing an error |
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| 456 | */ |
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| 457 | 17 | public static function FLOORMATH($number, $significance = null, $mode = 0) |
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| 458 | { |
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| 459 | 17 | $number = Functions::flattenSingleValue($number); |
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| 460 | 17 | $significance = Functions::flattenSingleValue($significance); |
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| 461 | 17 | $mode = Functions::flattenSingleValue($mode); |
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| 462 | |||
| 463 | 17 | if (is_numeric($number) && $significance === null) { |
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| 464 | 2 | $significance = $number / abs($number); |
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| 465 | } |
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| 466 | |||
| 467 | 17 | if (is_numeric($number) && is_numeric($significance) && is_numeric($mode)) { |
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| 468 | 16 | if ($significance == 0.0) { |
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| 469 | 1 | return Functions::DIV0(); |
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| 470 | 15 | } elseif ($number == 0.0) { |
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| 471 | return 0.0; |
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| 472 | 15 | } elseif (self::SIGN($significance) == -1 || (self::SIGN($number) == -1 && !empty($mode))) { |
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| 473 | 4 | return ceil($number / $significance) * $significance; |
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| 474 | } |
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| 475 | |||
| 476 | 11 | return floor($number / $significance) * $significance; |
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| 477 | } |
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| 478 | |||
| 479 | 1 | return Functions::VALUE(); |
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| 480 | } |
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| 481 | |||
| 482 | /** |
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| 483 | * FLOOR.PRECISE. |
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| 484 | * |
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| 485 | * Rounds number down, toward zero, to the nearest multiple of significance. |
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| 486 | * |
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| 487 | * Excel Function: |
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| 488 | * FLOOR.PRECISE(number[,significance]) |
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| 489 | * |
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| 490 | * @category Mathematical and Trigonometric Functions |
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| 491 | * |
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| 492 | * @param float $number Number to round |
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| 493 | * @param float $significance Significance |
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| 494 | * |
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| 495 | * @return float|string Rounded Number, or a string containing an error |
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| 496 | */ |
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| 497 | 11 | public static function FLOORPRECISE($number, $significance = 1) |
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| 498 | { |
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| 499 | 11 | $number = Functions::flattenSingleValue($number); |
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| 500 | 11 | $significance = Functions::flattenSingleValue($significance); |
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| 501 | |||
| 502 | 11 | if ((is_numeric($number)) && (is_numeric($significance))) { |
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| 503 | 10 | if ($significance == 0.0) { |
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| 504 | 1 | return Functions::DIV0(); |
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| 505 | 9 | } elseif ($number == 0.0) { |
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| 506 | return 0.0; |
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| 507 | } |
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| 508 | |||
| 509 | 9 | return floor($number / abs($significance)) * abs($significance); |
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| 510 | } |
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| 511 | |||
| 512 | 1 | return Functions::VALUE(); |
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| 513 | } |
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| 514 | |||
| 515 | 25 | private static function evaluateGCD($a, $b) |
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| 516 | { |
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| 517 | 25 | return $b ? self::evaluateGCD($b, $a % $b) : $a; |
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| 518 | } |
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| 519 | |||
| 520 | /** |
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| 521 | * GCD. |
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| 522 | * |
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| 523 | * Returns the greatest common divisor of a series of numbers. |
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| 524 | * The greatest common divisor is the largest integer that divides both |
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| 525 | * number1 and number2 without a remainder. |
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| 526 | * |
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| 527 | * Excel Function: |
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| 528 | * GCD(number1[,number2[, ...]]) |
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| 529 | * |
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| 530 | * @category Mathematical and Trigonometric Functions |
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| 531 | * |
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| 532 | * @param mixed ...$args Data values |
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| 533 | * |
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| 534 | * @return int|mixed|string Greatest Common Divisor, or a string containing an error |
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| 535 | */ |
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| 536 | 27 | public static function GCD(...$args) |
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| 537 | { |
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| 538 | 27 | $args = Functions::flattenArray($args); |
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| 539 | // Loop through arguments |
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| 540 | 27 | foreach (Functions::flattenArray($args) as $value) { |
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| 541 | 27 | if (!is_numeric($value)) { |
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| 542 | 1 | return Functions::VALUE(); |
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| 543 | 27 | } elseif ($value < 0) { |
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| 544 | 1 | return Functions::NAN(); |
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| 545 | } |
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| 546 | } |
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| 547 | |||
| 548 | 25 | $gcd = (int) array_pop($args); |
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| 549 | do { |
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| 550 | 25 | $gcd = self::evaluateGCD($gcd, (int) array_pop($args)); |
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| 551 | 25 | } while (!empty($args)); |
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| 552 | |||
| 553 | 25 | return $gcd; |
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| 554 | } |
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| 555 | |||
| 556 | /** |
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| 557 | * INT. |
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| 558 | * |
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| 559 | * Casts a floating point value to an integer |
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| 560 | * |
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| 561 | * Excel Function: |
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| 562 | * INT(number) |
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| 563 | * |
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| 564 | * @category Mathematical and Trigonometric Functions |
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| 565 | * |
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| 566 | * @param float $number Number to cast to an integer |
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| 567 | * |
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| 568 | * @return int|string Integer value, or a string containing an error |
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| 569 | */ |
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| 570 | 19 | public static function INT($number) |
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| 571 | { |
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| 572 | 19 | $number = Functions::flattenSingleValue($number); |
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| 573 | |||
| 574 | 19 | if ($number === null) { |
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| 575 | 1 | return 0; |
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| 576 | 18 | } elseif (is_bool($number)) { |
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| 577 | 2 | return (int) $number; |
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| 578 | } |
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| 579 | 16 | if (is_numeric($number)) { |
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| 580 | 15 | return (int) floor($number); |
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| 581 | } |
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| 582 | |||
| 583 | 1 | return Functions::VALUE(); |
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| 584 | } |
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| 585 | |||
| 586 | /** |
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| 587 | * LCM. |
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| 588 | * |
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| 589 | * Returns the lowest common multiplier of a series of numbers |
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| 590 | * The least common multiple is the smallest positive integer that is a multiple |
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| 591 | * of all integer arguments number1, number2, and so on. Use LCM to add fractions |
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| 592 | * with different denominators. |
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| 593 | * |
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| 594 | * Excel Function: |
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| 595 | * LCM(number1[,number2[, ...]]) |
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| 596 | * |
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| 597 | * @category Mathematical and Trigonometric Functions |
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| 598 | * |
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| 599 | * @param mixed ...$args Data values |
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| 600 | * |
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| 601 | * @return int|string Lowest Common Multiplier, or a string containing an error |
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| 602 | */ |
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| 603 | 12 | public static function LCM(...$args) |
|
| 604 | { |
||
| 605 | 12 | $returnValue = 1; |
|
| 606 | 12 | $allPoweredFactors = []; |
|
| 607 | // Loop through arguments |
||
| 608 | 12 | foreach (Functions::flattenArray($args) as $value) { |
|
| 609 | 12 | if (!is_numeric($value)) { |
|
| 610 | 1 | return Functions::VALUE(); |
|
| 611 | } |
||
| 612 | 12 | if ($value == 0) { |
|
| 613 | 1 | return 0; |
|
| 614 | 12 | } elseif ($value < 0) { |
|
| 615 | 1 | return Functions::NAN(); |
|
| 616 | } |
||
| 617 | 12 | $myFactors = self::factors(floor($value)); |
|
| 618 | 12 | $myCountedFactors = array_count_values($myFactors); |
|
| 619 | 12 | $myPoweredFactors = []; |
|
| 620 | 12 | foreach ($myCountedFactors as $myCountedFactor => $myCountedPower) { |
|
| 621 | 12 | $myPoweredFactors[$myCountedFactor] = pow($myCountedFactor, $myCountedPower); |
|
| 622 | } |
||
| 623 | 12 | foreach ($myPoweredFactors as $myPoweredValue => $myPoweredFactor) { |
|
| 624 | 12 | if (isset($allPoweredFactors[$myPoweredValue])) { |
|
| 625 | 6 | if ($allPoweredFactors[$myPoweredValue] < $myPoweredFactor) { |
|
| 626 | 6 | $allPoweredFactors[$myPoweredValue] = $myPoweredFactor; |
|
| 627 | } |
||
| 628 | } else { |
||
| 629 | 12 | $allPoweredFactors[$myPoweredValue] = $myPoweredFactor; |
|
| 630 | } |
||
| 631 | } |
||
| 632 | } |
||
| 633 | 9 | foreach ($allPoweredFactors as $allPoweredFactor) { |
|
| 634 | 9 | $returnValue *= (int) $allPoweredFactor; |
|
| 635 | } |
||
| 636 | |||
| 637 | 9 | return $returnValue; |
|
| 638 | } |
||
| 639 | |||
| 640 | /** |
||
| 641 | * LOG_BASE. |
||
| 642 | * |
||
| 643 | * Returns the logarithm of a number to a specified base. The default base is 10. |
||
| 644 | * |
||
| 645 | * Excel Function: |
||
| 646 | * LOG(number[,base]) |
||
| 647 | * |
||
| 648 | * @category Mathematical and Trigonometric Functions |
||
| 649 | * |
||
| 650 | * @param float $number The positive real number for which you want the logarithm |
||
| 651 | * @param float $base The base of the logarithm. If base is omitted, it is assumed to be 10. |
||
| 652 | * |
||
| 653 | * @return float|string The result, or a string containing an error |
||
| 654 | */ |
||
| 655 | 69 | public static function logBase($number = null, $base = 10) |
|
| 656 | { |
||
| 657 | 69 | $number = Functions::flattenSingleValue($number); |
|
| 658 | 69 | $base = ($base === null) ? 10 : (float) Functions::flattenSingleValue($base); |
|
| 659 | |||
| 660 | 69 | if ((!is_numeric($base)) || (!is_numeric($number))) { |
|
| 661 | 2 | return Functions::VALUE(); |
|
| 662 | } |
||
| 663 | 67 | if (($base <= 0) || ($number <= 0)) { |
|
| 664 | 18 | return Functions::NAN(); |
|
| 665 | } |
||
| 666 | |||
| 667 | 49 | return log($number, $base); |
|
| 668 | } |
||
| 669 | |||
| 670 | /** |
||
| 671 | * MDETERM. |
||
| 672 | * |
||
| 673 | * Returns the matrix determinant of an array. |
||
| 674 | * |
||
| 675 | * Excel Function: |
||
| 676 | * MDETERM(array) |
||
| 677 | * |
||
| 678 | * @category Mathematical and Trigonometric Functions |
||
| 679 | * |
||
| 680 | * @param array $matrixValues A matrix of values |
||
| 681 | * |
||
| 682 | * @return float|string The result, or a string containing an error |
||
| 683 | */ |
||
| 684 | 15 | public static function MDETERM($matrixValues) |
|
| 719 | } |
||
| 720 | } |
||
| 721 | |||
| 722 | /** |
||
| 723 | * MINVERSE. |
||
| 724 | * |
||
| 725 | * Returns the inverse matrix for the matrix stored in an array. |
||
| 726 | * |
||
| 727 | * Excel Function: |
||
| 728 | * MINVERSE(array) |
||
| 729 | * |
||
| 730 | * @category Mathematical and Trigonometric Functions |
||
| 731 | * |
||
| 732 | * @param array $matrixValues A matrix of values |
||
| 733 | * |
||
| 734 | * @return array|string The result, or a string containing an error |
||
| 735 | */ |
||
| 736 | 11 | public static function MINVERSE($matrixValues) |
|
| 737 | { |
||
| 738 | 11 | $matrixData = []; |
|
| 739 | 11 | if (!is_array($matrixValues)) { |
|
| 740 | $matrixValues = [[$matrixValues]]; |
||
| 741 | } |
||
| 742 | |||
| 743 | 11 | $row = $maxColumn = 0; |
|
| 744 | 11 | foreach ($matrixValues as $matrixRow) { |
|
| 745 | 11 | if (!is_array($matrixRow)) { |
|
| 746 | $matrixRow = [$matrixRow]; |
||
| 747 | } |
||
| 748 | 11 | $column = 0; |
|
| 749 | 11 | foreach ($matrixRow as $matrixCell) { |
|
| 750 | 11 | if ((is_string($matrixCell)) || ($matrixCell === null)) { |
|
| 751 | return Functions::VALUE(); |
||
| 752 | } |
||
| 753 | 11 | $matrixData[$row][$column] = $matrixCell; |
|
| 754 | 11 | ++$column; |
|
| 755 | } |
||
| 756 | 11 | if ($column > $maxColumn) { |
|
| 757 | 11 | $maxColumn = $column; |
|
| 758 | } |
||
| 759 | 11 | ++$row; |
|
| 760 | } |
||
| 761 | |||
| 762 | 11 | $matrix = new Matrix($matrixData); |
|
| 763 | 11 | if (!$matrix->isSquare()) { |
|
| 764 | return Functions::VALUE(); |
||
| 765 | } |
||
| 766 | |||
| 767 | 11 | if ($matrix->determinant() == 0.0) { |
|
| 768 | return Functions::NAN(); |
||
| 769 | } |
||
| 770 | |||
| 771 | try { |
||
| 772 | 11 | return $matrix->inverse()->toArray(); |
|
| 773 | } catch (MatrixException $ex) { |
||
| 774 | return Functions::VALUE(); |
||
| 775 | } |
||
| 776 | } |
||
| 777 | |||
| 778 | /** |
||
| 779 | * MMULT. |
||
| 780 | * |
||
| 781 | * @param array $matrixData1 A matrix of values |
||
| 782 | * @param array $matrixData2 A matrix of values |
||
| 783 | * |
||
| 784 | * @return array|string The result, or a string containing an error |
||
| 785 | */ |
||
| 786 | 9 | public static function MMULT($matrixData1, $matrixData2) |
|
| 787 | { |
||
| 788 | 9 | $matrixAData = $matrixBData = []; |
|
| 789 | 9 | if (!is_array($matrixData1)) { |
|
| 790 | $matrixData1 = [[$matrixData1]]; |
||
| 791 | } |
||
| 792 | 9 | if (!is_array($matrixData2)) { |
|
| 793 | $matrixData2 = [[$matrixData2]]; |
||
| 794 | } |
||
| 795 | |||
| 796 | try { |
||
| 797 | 9 | $rowA = 0; |
|
| 798 | 9 | foreach ($matrixData1 as $matrixRow) { |
|
| 799 | 9 | if (!is_array($matrixRow)) { |
|
| 800 | $matrixRow = [$matrixRow]; |
||
| 801 | } |
||
| 802 | 9 | $columnA = 0; |
|
| 803 | 9 | foreach ($matrixRow as $matrixCell) { |
|
| 804 | 9 | if ((!is_numeric($matrixCell)) || ($matrixCell === null)) { |
|
| 805 | return Functions::VALUE(); |
||
| 806 | } |
||
| 807 | 9 | $matrixAData[$rowA][$columnA] = $matrixCell; |
|
| 808 | 9 | ++$columnA; |
|
| 809 | } |
||
| 810 | 9 | ++$rowA; |
|
| 811 | } |
||
| 812 | 9 | $matrixA = new Matrix($matrixAData); |
|
| 813 | 9 | $rowB = 0; |
|
| 814 | 9 | foreach ($matrixData2 as $matrixRow) { |
|
| 815 | 9 | if (!is_array($matrixRow)) { |
|
| 816 | 1 | $matrixRow = [$matrixRow]; |
|
| 817 | } |
||
| 818 | 9 | $columnB = 0; |
|
| 819 | 9 | foreach ($matrixRow as $matrixCell) { |
|
| 820 | 9 | if ((!is_numeric($matrixCell)) || ($matrixCell === null)) { |
|
| 821 | return Functions::VALUE(); |
||
| 822 | } |
||
| 823 | 9 | $matrixBData[$rowB][$columnB] = $matrixCell; |
|
| 824 | 9 | ++$columnB; |
|
| 825 | } |
||
| 826 | 9 | ++$rowB; |
|
| 827 | } |
||
| 828 | 9 | $matrixB = new Matrix($matrixBData); |
|
| 829 | |||
| 830 | 9 | if ($columnA != $rowB) { |
|
| 831 | 2 | return Functions::VALUE(); |
|
| 832 | } |
||
| 833 | |||
| 834 | 7 | return $matrixA->multiply($matrixB)->toArray(); |
|
| 835 | } catch (MatrixException $ex) { |
||
| 836 | return Functions::VALUE(); |
||
| 837 | } |
||
| 838 | } |
||
| 839 | |||
| 840 | /** |
||
| 841 | * MOD. |
||
| 842 | * |
||
| 843 | * @param int $a Dividend |
||
| 844 | * @param int $b Divisor |
||
| 845 | * |
||
| 846 | * @return int|string Remainder, or a string containing an error |
||
| 847 | */ |
||
| 848 | 10 | public static function MOD($a = 1, $b = 1) |
|
| 849 | { |
||
| 850 | 10 | $a = (float) Functions::flattenSingleValue($a); |
|
| 851 | 10 | $b = (float) Functions::flattenSingleValue($b); |
|
| 852 | |||
| 853 | 10 | if ($b == 0.0) { |
|
| 854 | 1 | return Functions::DIV0(); |
|
| 855 | 9 | } elseif (($a < 0.0) && ($b > 0.0)) { |
|
| 856 | 1 | return $b - fmod(abs($a), $b); |
|
| 857 | 8 | } elseif (($a > 0.0) && ($b < 0.0)) { |
|
| 858 | 2 | return $b + fmod($a, abs($b)); |
|
| 859 | } |
||
| 860 | |||
| 861 | 6 | return fmod($a, $b); |
|
| 862 | } |
||
| 863 | |||
| 864 | /** |
||
| 865 | * MROUND. |
||
| 866 | * |
||
| 867 | * Rounds a number to the nearest multiple of a specified value |
||
| 868 | * |
||
| 869 | * @param float $number Number to round |
||
| 870 | * @param int $multiple Multiple to which you want to round $number |
||
| 871 | * |
||
| 872 | * @return float|string Rounded Number, or a string containing an error |
||
| 873 | */ |
||
| 874 | 13 | public static function MROUND($number, $multiple) |
|
| 875 | { |
||
| 876 | 13 | $number = Functions::flattenSingleValue($number); |
|
| 877 | 13 | $multiple = Functions::flattenSingleValue($multiple); |
|
| 878 | |||
| 879 | 13 | if ((is_numeric($number)) && (is_numeric($multiple))) { |
|
| 880 | 11 | if ($multiple == 0) { |
|
| 881 | 1 | return 0; |
|
| 882 | } |
||
| 883 | 10 | if ((self::SIGN($number)) == (self::SIGN($multiple))) { |
|
| 884 | 9 | $multiplier = 1 / $multiple; |
|
| 885 | |||
| 886 | 9 | return round($number * $multiplier) / $multiplier; |
|
| 887 | } |
||
| 888 | |||
| 889 | 1 | return Functions::NAN(); |
|
| 890 | } |
||
| 891 | |||
| 892 | 2 | return Functions::VALUE(); |
|
| 893 | } |
||
| 894 | |||
| 895 | /** |
||
| 896 | * MULTINOMIAL. |
||
| 897 | * |
||
| 898 | * Returns the ratio of the factorial of a sum of values to the product of factorials. |
||
| 899 | * |
||
| 900 | * @param array of mixed Data Series |
||
| 901 | * |
||
| 902 | * @return float|string The result, or a string containing an error |
||
| 903 | */ |
||
| 904 | 2 | public static function MULTINOMIAL(...$args) |
|
| 905 | { |
||
| 906 | 2 | $summer = 0; |
|
| 907 | 2 | $divisor = 1; |
|
| 908 | // Loop through arguments |
||
| 909 | 2 | foreach (Functions::flattenArray($args) as $arg) { |
|
| 910 | // Is it a numeric value? |
||
| 911 | 2 | if (is_numeric($arg)) { |
|
| 912 | 2 | if ($arg < 1) { |
|
| 913 | return Functions::NAN(); |
||
| 914 | } |
||
| 915 | 2 | $summer += floor($arg); |
|
| 916 | 2 | $divisor *= self::FACT($arg); |
|
| 917 | } else { |
||
| 918 | return Functions::VALUE(); |
||
| 919 | } |
||
| 920 | } |
||
| 921 | |||
| 922 | // Return |
||
| 923 | 2 | if ($summer > 0) { |
|
| 924 | 2 | $summer = self::FACT($summer); |
|
| 925 | |||
| 926 | 2 | return $summer / $divisor; |
|
| 927 | } |
||
| 928 | |||
| 929 | return 0; |
||
| 930 | } |
||
| 931 | |||
| 932 | /** |
||
| 933 | * ODD. |
||
| 934 | * |
||
| 935 | * Returns number rounded up to the nearest odd integer. |
||
| 936 | * |
||
| 937 | * @param float $number Number to round |
||
| 938 | * |
||
| 939 | * @return int|string Rounded Number, or a string containing an error |
||
| 940 | */ |
||
| 941 | 13 | public static function ODD($number) |
|
| 942 | { |
||
| 943 | 13 | $number = Functions::flattenSingleValue($number); |
|
| 944 | |||
| 945 | 13 | if ($number === null) { |
|
| 946 | 1 | return 1; |
|
| 947 | 12 | } elseif (is_bool($number)) { |
|
| 948 | 2 | return 1; |
|
| 949 | 10 | } elseif (is_numeric($number)) { |
|
| 950 | 9 | $significance = self::SIGN($number); |
|
| 951 | 9 | if ($significance == 0) { |
|
| 952 | 1 | return 1; |
|
| 953 | } |
||
| 954 | |||
| 955 | 8 | $result = self::CEILING($number, $significance); |
|
|
1 ignored issue
–
show
|
|||
| 956 | 8 | if ($result == self::EVEN($result)) { |
|
|
1 ignored issue
–
show
|
|||
| 957 | 5 | $result += $significance; |
|
| 958 | } |
||
| 959 | |||
| 960 | 8 | return (int) $result; |
|
| 961 | } |
||
| 962 | |||
| 963 | 1 | return Functions::VALUE(); |
|
| 964 | } |
||
| 965 | |||
| 966 | /** |
||
| 967 | * POWER. |
||
| 968 | * |
||
| 969 | * Computes x raised to the power y. |
||
| 970 | * |
||
| 971 | * @param float $x |
||
| 972 | * @param float $y |
||
| 973 | * |
||
| 974 | * @return float|string The result, or a string containing an error |
||
| 975 | */ |
||
| 976 | 81 | public static function POWER($x = 0, $y = 2) |
|
| 977 | { |
||
| 978 | 81 | $x = Functions::flattenSingleValue($x); |
|
| 979 | 81 | $y = Functions::flattenSingleValue($y); |
|
| 980 | |||
| 981 | // Validate parameters |
||
| 982 | 81 | if ($x == 0.0 && $y == 0.0) { |
|
| 983 | 1 | return Functions::NAN(); |
|
| 984 | 80 | } elseif ($x == 0.0 && $y < 0.0) { |
|
| 985 | 2 | return Functions::DIV0(); |
|
| 986 | } |
||
| 987 | |||
| 988 | // Return |
||
| 989 | 78 | $result = pow($x, $y); |
|
| 990 | |||
| 991 | 78 | return (!is_nan($result) && !is_infinite($result)) ? $result : Functions::NAN(); |
|
| 992 | } |
||
| 993 | |||
| 994 | /** |
||
| 995 | * PRODUCT. |
||
| 996 | * |
||
| 997 | * PRODUCT returns the product of all the values and cells referenced in the argument list. |
||
| 998 | * |
||
| 999 | * Excel Function: |
||
| 1000 | * PRODUCT(value1[,value2[, ...]]) |
||
| 1001 | * |
||
| 1002 | * @category Mathematical and Trigonometric Functions |
||
| 1003 | * |
||
| 1004 | * @param mixed ...$args Data values |
||
| 1005 | * |
||
| 1006 | * @return float |
||
| 1007 | */ |
||
| 1008 | 11 | public static function PRODUCT(...$args) |
|
| 1009 | { |
||
| 1010 | // Return value |
||
| 1011 | 11 | $returnValue = null; |
|
| 1012 | |||
| 1013 | // Loop through arguments |
||
| 1014 | 11 | foreach (Functions::flattenArray($args) as $arg) { |
|
| 1015 | // Is it a numeric value? |
||
| 1016 | 11 | if ((is_numeric($arg)) && (!is_string($arg))) { |
|
| 1017 | 11 | if ($returnValue === null) { |
|
| 1018 | 11 | $returnValue = $arg; |
|
| 1019 | } else { |
||
| 1020 | 11 | $returnValue *= $arg; |
|
| 1021 | } |
||
| 1022 | } |
||
| 1023 | } |
||
| 1024 | |||
| 1025 | // Return |
||
| 1026 | 11 | if ($returnValue === null) { |
|
| 1027 | return 0; |
||
| 1028 | } |
||
| 1029 | |||
| 1030 | 11 | return $returnValue; |
|
| 1031 | } |
||
| 1032 | |||
| 1033 | /** |
||
| 1034 | * QUOTIENT. |
||
| 1035 | * |
||
| 1036 | * QUOTIENT function returns the integer portion of a division. Numerator is the divided number |
||
| 1037 | * and denominator is the divisor. |
||
| 1038 | * |
||
| 1039 | * Excel Function: |
||
| 1040 | * QUOTIENT(value1[,value2[, ...]]) |
||
| 1041 | * |
||
| 1042 | * @category Mathematical and Trigonometric Functions |
||
| 1043 | * |
||
| 1044 | * @param mixed ...$args Data values |
||
| 1045 | * |
||
| 1046 | * @return float |
||
| 1047 | */ |
||
| 1048 | 6 | public static function QUOTIENT(...$args) |
|
| 1049 | { |
||
| 1050 | // Return value |
||
| 1051 | 6 | $returnValue = null; |
|
| 1052 | |||
| 1053 | // Loop through arguments |
||
| 1054 | 6 | foreach (Functions::flattenArray($args) as $arg) { |
|
| 1055 | // Is it a numeric value? |
||
| 1056 | 6 | if ((is_numeric($arg)) && (!is_string($arg))) { |
|
| 1057 | 6 | if ($returnValue === null) { |
|
| 1058 | 6 | $returnValue = ($arg == 0) ? 0 : $arg; |
|
| 1059 | } else { |
||
| 1060 | 6 | if (($returnValue == 0) || ($arg == 0)) { |
|
| 1061 | $returnValue = 0; |
||
| 1062 | } else { |
||
| 1063 | 6 | $returnValue /= $arg; |
|
| 1064 | } |
||
| 1065 | } |
||
| 1066 | } |
||
| 1067 | } |
||
| 1068 | |||
| 1069 | // Return |
||
| 1070 | 6 | return (int) $returnValue; |
|
| 1071 | } |
||
| 1072 | |||
| 1073 | /** |
||
| 1074 | * RAND. |
||
| 1075 | * |
||
| 1076 | * @param int $min Minimal value |
||
| 1077 | * @param int $max Maximal value |
||
| 1078 | * |
||
| 1079 | * @return int Random number |
||
| 1080 | */ |
||
| 1081 | 3 | public static function RAND($min = 0, $max = 0) |
|
| 1082 | { |
||
| 1083 | 3 | $min = Functions::flattenSingleValue($min); |
|
| 1084 | 3 | $max = Functions::flattenSingleValue($max); |
|
| 1085 | |||
| 1086 | 3 | if ($min == 0 && $max == 0) { |
|
| 1087 | 1 | return (mt_rand(0, 10000000)) / 10000000; |
|
| 1088 | } |
||
| 1089 | |||
| 1090 | 3 | return mt_rand($min, $max); |
|
| 1091 | } |
||
| 1092 | |||
| 1093 | 6 | public static function ROMAN($aValue, $style = 0) |
|
| 1094 | { |
||
| 1095 | 6 | $aValue = Functions::flattenSingleValue($aValue); |
|
| 1096 | 6 | $style = ($style === null) ? 0 : (int) Functions::flattenSingleValue($style); |
|
| 1097 | 6 | if ((!is_numeric($aValue)) || ($aValue < 0) || ($aValue >= 4000)) { |
|
| 1098 | return Functions::VALUE(); |
||
| 1099 | } |
||
| 1100 | 6 | $aValue = (int) $aValue; |
|
| 1101 | 6 | if ($aValue == 0) { |
|
| 1102 | return ''; |
||
| 1103 | } |
||
| 1104 | |||
| 1105 | 6 | $mill = ['', 'M', 'MM', 'MMM', 'MMMM', 'MMMMM']; |
|
| 1106 | 6 | $cent = ['', 'C', 'CC', 'CCC', 'CD', 'D', 'DC', 'DCC', 'DCCC', 'CM']; |
|
| 1107 | 6 | $tens = ['', 'X', 'XX', 'XXX', 'XL', 'L', 'LX', 'LXX', 'LXXX', 'XC']; |
|
| 1108 | 6 | $ones = ['', 'I', 'II', 'III', 'IV', 'V', 'VI', 'VII', 'VIII', 'IX']; |
|
| 1109 | |||
| 1110 | 6 | $roman = ''; |
|
| 1111 | 6 | while ($aValue > 5999) { |
|
| 1112 | $roman .= 'M'; |
||
| 1113 | $aValue -= 1000; |
||
| 1114 | } |
||
| 1115 | 6 | $m = self::romanCut($aValue, 1000); |
|
| 1116 | 6 | $aValue %= 1000; |
|
| 1117 | 6 | $c = self::romanCut($aValue, 100); |
|
| 1118 | 6 | $aValue %= 100; |
|
| 1119 | 6 | $t = self::romanCut($aValue, 10); |
|
| 1120 | 6 | $aValue %= 10; |
|
| 1121 | |||
| 1122 | 6 | return $roman . $mill[$m] . $cent[$c] . $tens[$t] . $ones[$aValue]; |
|
| 1123 | } |
||
| 1124 | |||
| 1125 | /** |
||
| 1126 | * ROUNDUP. |
||
| 1127 | * |
||
| 1128 | * Rounds a number up to a specified number of decimal places |
||
| 1129 | * |
||
| 1130 | * @param float $number Number to round |
||
| 1131 | * @param int $digits Number of digits to which you want to round $number |
||
| 1132 | * |
||
| 1133 | * @return float|string Rounded Number, or a string containing an error |
||
| 1134 | */ |
||
| 1135 | 16 | public static function ROUNDUP($number, $digits) |
|
| 1136 | { |
||
| 1137 | 16 | $number = Functions::flattenSingleValue($number); |
|
| 1138 | 16 | $digits = Functions::flattenSingleValue($digits); |
|
| 1139 | |||
| 1140 | 16 | if ((is_numeric($number)) && (is_numeric($digits))) { |
|
| 1141 | 14 | if ($number < 0.0) { |
|
| 1142 | 2 | $significance = pow(10, (int) $digits); |
|
| 1143 | |||
| 1144 | 2 | return floor($number * $significance) / $significance; |
|
| 1145 | } |
||
| 1146 | |||
| 1147 | 12 | return round($number + 0.5 * pow(0.1, $digits), $digits, PHP_ROUND_HALF_DOWN); |
|
| 1148 | } |
||
| 1149 | |||
| 1150 | 2 | return Functions::VALUE(); |
|
| 1151 | } |
||
| 1152 | |||
| 1153 | /** |
||
| 1154 | * ROUNDDOWN. |
||
| 1155 | * |
||
| 1156 | * Rounds a number down to a specified number of decimal places |
||
| 1157 | * |
||
| 1158 | * @param float $number Number to round |
||
| 1159 | * @param int $digits Number of digits to which you want to round $number |
||
| 1160 | * |
||
| 1161 | * @return float|string Rounded Number, or a string containing an error |
||
| 1162 | */ |
||
| 1163 | 16 | public static function ROUNDDOWN($number, $digits) |
|
| 1164 | { |
||
| 1165 | 16 | $number = Functions::flattenSingleValue($number); |
|
| 1166 | 16 | $digits = Functions::flattenSingleValue($digits); |
|
| 1167 | |||
| 1168 | 16 | if ((is_numeric($number)) && (is_numeric($digits))) { |
|
| 1169 | 14 | if ($number < 0.0) { |
|
| 1170 | 2 | $significance = pow(10, (int) $digits); |
|
| 1171 | |||
| 1172 | 2 | return ceil($number * $significance) / $significance; |
|
| 1173 | } |
||
| 1174 | |||
| 1175 | 12 | return round($number - 0.5 * pow(0.1, $digits), $digits, PHP_ROUND_HALF_UP); |
|
| 1176 | } |
||
| 1177 | |||
| 1178 | 2 | return Functions::VALUE(); |
|
| 1179 | } |
||
| 1180 | |||
| 1181 | /** |
||
| 1182 | * SERIESSUM. |
||
| 1183 | * |
||
| 1184 | * Returns the sum of a power series |
||
| 1185 | * |
||
| 1186 | * @param float $x Input value to the power series |
||
| 1187 | * @param float $n Initial power to which you want to raise $x |
||
| 1188 | * @param float $m Step by which to increase $n for each term in the series |
||
| 1189 | * @param array of mixed Data Series |
||
| 1190 | * |
||
| 1191 | * @return float|string The result, or a string containing an error |
||
| 1192 | */ |
||
| 1193 | 2 | public static function SERIESSUM(...$args) |
|
| 1194 | { |
||
| 1195 | 2 | $returnValue = 0; |
|
| 1196 | |||
| 1197 | // Loop through arguments |
||
| 1198 | 2 | $aArgs = Functions::flattenArray($args); |
|
| 1199 | |||
| 1200 | 2 | $x = array_shift($aArgs); |
|
| 1201 | 2 | $n = array_shift($aArgs); |
|
| 1202 | 2 | $m = array_shift($aArgs); |
|
| 1203 | |||
| 1204 | 2 | if ((is_numeric($x)) && (is_numeric($n)) && (is_numeric($m))) { |
|
| 1205 | // Calculate |
||
| 1206 | 2 | $i = 0; |
|
| 1207 | 2 | foreach ($aArgs as $arg) { |
|
| 1208 | // Is it a numeric value? |
||
| 1209 | 2 | if ((is_numeric($arg)) && (!is_string($arg))) { |
|
| 1210 | 2 | $returnValue += $arg * pow($x, $n + ($m * $i++)); |
|
| 1211 | } else { |
||
| 1212 | return Functions::VALUE(); |
||
| 1213 | } |
||
| 1214 | } |
||
| 1215 | |||
| 1216 | 2 | return $returnValue; |
|
| 1217 | } |
||
| 1218 | |||
| 1219 | return Functions::VALUE(); |
||
| 1220 | } |
||
| 1221 | |||
| 1222 | /** |
||
| 1223 | * SIGN. |
||
| 1224 | * |
||
| 1225 | * Determines the sign of a number. Returns 1 if the number is positive, zero (0) |
||
| 1226 | * if the number is 0, and -1 if the number is negative. |
||
| 1227 | * |
||
| 1228 | * @param float $number Number to round |
||
| 1229 | * |
||
| 1230 | * @return int|string sign value, or a string containing an error |
||
| 1231 | */ |
||
| 1232 | 87 | public static function SIGN($number) |
|
| 1233 | { |
||
| 1234 | 87 | $number = Functions::flattenSingleValue($number); |
|
| 1235 | |||
| 1236 | 87 | if (is_bool($number)) { |
|
| 1237 | 2 | return (int) $number; |
|
| 1238 | } |
||
| 1239 | 85 | if (is_numeric($number)) { |
|
| 1240 | 84 | if ($number == 0.0) { |
|
| 1241 | 4 | return 0; |
|
| 1242 | } |
||
| 1243 | |||
| 1244 | 80 | return $number / abs($number); |
|
| 1245 | } |
||
| 1246 | |||
| 1247 | 1 | return Functions::VALUE(); |
|
| 1248 | } |
||
| 1249 | |||
| 1250 | /** |
||
| 1251 | * SQRTPI. |
||
| 1252 | * |
||
| 1253 | * Returns the square root of (number * pi). |
||
| 1254 | * |
||
| 1255 | * @param float $number Number |
||
| 1256 | * |
||
| 1257 | * @return float|string Square Root of Number * Pi, or a string containing an error |
||
| 1258 | */ |
||
| 1259 | 15 | public static function SQRTPI($number) |
|
| 1260 | { |
||
| 1261 | 15 | $number = Functions::flattenSingleValue($number); |
|
| 1262 | |||
| 1263 | 15 | if (is_numeric($number)) { |
|
| 1264 | 14 | if ($number < 0) { |
|
| 1265 | 3 | return Functions::NAN(); |
|
| 1266 | } |
||
| 1267 | |||
| 1268 | 11 | return sqrt($number * M_PI); |
|
| 1269 | } |
||
| 1270 | |||
| 1271 | 1 | return Functions::VALUE(); |
|
| 1272 | } |
||
| 1273 | |||
| 1274 | 11 | protected static function filterHiddenArgs($cellReference, $args) |
|
| 1275 | { |
||
| 1276 | 11 | return array_filter( |
|
| 1277 | $args, |
||
| 1278 | function ($index) use ($cellReference) { |
||
| 1279 | 11 | [, $row, $column] = explode('.', $index); |
|
| 1280 | |||
| 1281 | 11 | return $cellReference->getWorksheet()->getRowDimension($row)->getVisible() && |
|
| 1282 | 11 | $cellReference->getWorksheet()->getColumnDimension($column)->getVisible(); |
|
| 1283 | 11 | }, |
|
| 1284 | 11 | ARRAY_FILTER_USE_KEY |
|
| 1285 | ); |
||
| 1286 | } |
||
| 1287 | |||
| 1288 | 23 | protected static function filterFormulaArgs($cellReference, $args) |
|
| 1289 | { |
||
| 1290 | 23 | return array_filter( |
|
| 1291 | $args, |
||
| 1292 | function ($index) use ($cellReference) { |
||
| 1293 | 23 | [, $row, $column] = explode('.', $index); |
|
| 1294 | 23 | if ($cellReference->getWorksheet()->cellExists($column . $row)) { |
|
| 1295 | //take this cell out if it contains the SUBTOTAL or AGGREGATE functions in a formula |
||
| 1296 | 23 | $isFormula = $cellReference->getWorksheet()->getCell($column . $row)->isFormula(); |
|
| 1297 | 23 | $cellFormula = !preg_match('/^=.*\b(SUBTOTAL|AGGREGATE)\s*\(/i', $cellReference->getWorksheet()->getCell($column . $row)->getValue()); |
|
| 1298 | |||
| 1299 | 23 | return !$isFormula || $cellFormula; |
|
| 1300 | } |
||
| 1301 | |||
| 1302 | return true; |
||
| 1303 | 23 | }, |
|
| 1304 | 23 | ARRAY_FILTER_USE_KEY |
|
| 1305 | ); |
||
| 1306 | } |
||
| 1307 | |||
| 1308 | /** |
||
| 1309 | * SUBTOTAL. |
||
| 1310 | * |
||
| 1311 | * Returns a subtotal in a list or database. |
||
| 1312 | * |
||
| 1313 | * @param int the number 1 to 11 that specifies which function to |
||
| 1314 | * use in calculating subtotals within a range |
||
| 1315 | * list |
||
| 1316 | * Numbers 101 to 111 shadow the functions of 1 to 11 |
||
| 1317 | * but ignore any values in the range that are |
||
| 1318 | * in hidden rows or columns |
||
| 1319 | * @param array of mixed Data Series |
||
| 1320 | * |
||
| 1321 | * @return float|string |
||
| 1322 | */ |
||
| 1323 | 23 | public static function SUBTOTAL(...$args) |
|
| 1324 | { |
||
| 1325 | 23 | $cellReference = array_pop($args); |
|
| 1326 | 23 | $aArgs = Functions::flattenArrayIndexed($args); |
|
| 1327 | 23 | $subtotal = array_shift($aArgs); |
|
| 1328 | |||
| 1329 | // Calculate |
||
| 1330 | 23 | if ((is_numeric($subtotal)) && (!is_string($subtotal))) { |
|
| 1331 | 23 | if ($subtotal > 100) { |
|
| 1332 | 11 | $aArgs = self::filterHiddenArgs($cellReference, $aArgs); |
|
| 1333 | 11 | $subtotal -= 100; |
|
| 1334 | } |
||
| 1335 | |||
| 1336 | 23 | $aArgs = self::filterFormulaArgs($cellReference, $aArgs); |
|
| 1337 | switch ($subtotal) { |
||
| 1338 | 23 | case 1: |
|
| 1339 | 2 | return Statistical::AVERAGE($aArgs); |
|
| 1340 | 21 | case 2: |
|
| 1341 | 2 | return Statistical::COUNT($aArgs); |
|
| 1342 | 19 | case 3: |
|
| 1343 | 2 | return Statistical::COUNTA($aArgs); |
|
| 1344 | 17 | case 4: |
|
| 1345 | 2 | return Statistical::MAX($aArgs); |
|
| 1346 | 15 | case 5: |
|
| 1347 | 2 | return Statistical::MIN($aArgs); |
|
| 1348 | 13 | case 6: |
|
| 1349 | 2 | return self::PRODUCT($aArgs); |
|
| 1350 | 11 | case 7: |
|
| 1351 | 2 | return Statistical::STDEV($aArgs); |
|
| 1352 | 9 | case 8: |
|
| 1353 | 2 | return Statistical::STDEVP($aArgs); |
|
| 1354 | 7 | case 9: |
|
| 1355 | 3 | return self::SUM($aArgs); |
|
| 1356 | 4 | case 10: |
|
| 1357 | 2 | return Statistical::VARFunc($aArgs); |
|
| 1358 | 2 | case 11: |
|
| 1359 | 2 | return Statistical::VARP($aArgs); |
|
| 1360 | } |
||
| 1361 | } |
||
| 1362 | |||
| 1363 | return Functions::VALUE(); |
||
| 1364 | } |
||
| 1365 | |||
| 1366 | /** |
||
| 1367 | * SUM. |
||
| 1368 | * |
||
| 1369 | * SUM computes the sum of all the values and cells referenced in the argument list. |
||
| 1370 | * |
||
| 1371 | * Excel Function: |
||
| 1372 | * SUM(value1[,value2[, ...]]) |
||
| 1373 | * |
||
| 1374 | * @category Mathematical and Trigonometric Functions |
||
| 1375 | * |
||
| 1376 | * @param mixed ...$args Data values |
||
| 1377 | * |
||
| 1378 | * @return float |
||
| 1379 | */ |
||
| 1380 | 40 | public static function SUM(...$args) |
|
| 1381 | { |
||
| 1382 | 40 | $returnValue = 0; |
|
| 1383 | |||
| 1384 | // Loop through the arguments |
||
| 1385 | 40 | foreach (Functions::flattenArray($args) as $arg) { |
|
| 1386 | // Is it a numeric value? |
||
| 1387 | 40 | if ((is_numeric($arg)) && (!is_string($arg))) { |
|
| 1388 | 40 | $returnValue += $arg; |
|
| 1389 | } |
||
| 1390 | } |
||
| 1391 | |||
| 1392 | 40 | return $returnValue; |
|
| 1393 | } |
||
| 1394 | |||
| 1395 | /** |
||
| 1396 | * SUMIF. |
||
| 1397 | * |
||
| 1398 | * Counts the number of cells that contain numbers within the list of arguments |
||
| 1399 | * |
||
| 1400 | * Excel Function: |
||
| 1401 | * SUMIF(value1[,value2[, ...]],condition) |
||
| 1402 | * |
||
| 1403 | * @category Mathematical and Trigonometric Functions |
||
| 1404 | * |
||
| 1405 | * @param mixed $aArgs Data values |
||
| 1406 | * @param string $condition the criteria that defines which cells will be summed |
||
| 1407 | * @param mixed $sumArgs |
||
| 1408 | * |
||
| 1409 | * @return float |
||
| 1410 | */ |
||
| 1411 | 10 | public static function SUMIF($aArgs, $condition, $sumArgs = []) |
|
| 1412 | { |
||
| 1413 | 10 | $returnValue = 0; |
|
| 1414 | |||
| 1415 | 10 | $aArgs = Functions::flattenArray($aArgs); |
|
| 1416 | 10 | $sumArgs = Functions::flattenArray($sumArgs); |
|
| 1417 | 10 | if (empty($sumArgs)) { |
|
| 1418 | 1 | $sumArgs = $aArgs; |
|
| 1419 | } |
||
| 1420 | 10 | $condition = Functions::ifCondition($condition); |
|
| 1421 | // Loop through arguments |
||
| 1422 | 10 | foreach ($aArgs as $key => $arg) { |
|
| 1423 | 10 | if (!is_numeric($arg)) { |
|
| 1424 | 6 | $arg = str_replace('"', '""', $arg); |
|
| 1425 | 6 | $arg = Calculation::wrapResult(strtoupper($arg)); |
|
| 1426 | } |
||
| 1427 | |||
| 1428 | 10 | $testCondition = '=' . $arg . $condition; |
|
| 1429 | 10 | $sumValue = array_key_exists($key, $sumArgs) ? $sumArgs[$key] : 0; |
|
| 1430 | |||
| 1431 | 10 | if (is_numeric($sumValue) && |
|
| 1432 | 10 | Calculation::getInstance()->_calculateFormulaValue($testCondition)) { |
|
| 1433 | // Is it a value within our criteria and only numeric can be added to the result |
||
| 1434 | 10 | $returnValue += $sumValue; |
|
| 1435 | } |
||
| 1436 | } |
||
| 1437 | |||
| 1438 | 10 | return $returnValue; |
|
| 1439 | } |
||
| 1440 | |||
| 1441 | /** |
||
| 1442 | * SUMIFS. |
||
| 1443 | * |
||
| 1444 | * Counts the number of cells that contain numbers within the list of arguments |
||
| 1445 | * |
||
| 1446 | * Excel Function: |
||
| 1447 | * SUMIFS(value1[,value2[, ...]],condition) |
||
| 1448 | * |
||
| 1449 | * @category Mathematical and Trigonometric Functions |
||
| 1450 | * |
||
| 1451 | * @param mixed $args Data values |
||
| 1452 | * @param string $condition the criteria that defines which cells will be summed |
||
| 1453 | * |
||
| 1454 | * @return float |
||
| 1455 | */ |
||
| 1456 | 2 | public static function SUMIFS(...$args) |
|
| 1457 | { |
||
| 1458 | 2 | $arrayList = $args; |
|
| 1459 | |||
| 1460 | // Return value |
||
| 1461 | 2 | $returnValue = 0; |
|
| 1462 | |||
| 1463 | 2 | $sumArgs = Functions::flattenArray(array_shift($arrayList)); |
|
| 1464 | 2 | $aArgsArray = []; |
|
| 1465 | 2 | $conditions = []; |
|
| 1466 | |||
| 1467 | 2 | while (count($arrayList) > 0) { |
|
| 1468 | 2 | $aArgsArray[] = Functions::flattenArray(array_shift($arrayList)); |
|
| 1469 | 2 | $conditions[] = Functions::ifCondition(array_shift($arrayList)); |
|
| 1470 | } |
||
| 1471 | |||
| 1472 | // Loop through each sum and see if arguments and conditions are true |
||
| 1473 | 2 | foreach ($sumArgs as $index => $value) { |
|
| 1474 | 2 | $valid = true; |
|
| 1475 | |||
| 1476 | 2 | foreach ($conditions as $cidx => $condition) { |
|
| 1477 | 2 | $arg = $aArgsArray[$cidx][$index]; |
|
| 1478 | |||
| 1479 | // Loop through arguments |
||
| 1480 | 2 | if (!is_numeric($arg)) { |
|
| 1481 | 2 | $arg = Calculation::wrapResult(strtoupper($arg)); |
|
| 1482 | } |
||
| 1483 | 2 | $testCondition = '=' . $arg . $condition; |
|
| 1484 | 2 | if (!Calculation::getInstance()->_calculateFormulaValue($testCondition)) { |
|
| 1485 | // Is not a value within our criteria |
||
| 1486 | 2 | $valid = false; |
|
| 1487 | |||
| 1488 | 2 | break; // if false found, don't need to check other conditions |
|
| 1489 | } |
||
| 1490 | } |
||
| 1491 | |||
| 1492 | 2 | if ($valid) { |
|
| 1493 | 2 | $returnValue += $value; |
|
| 1494 | } |
||
| 1495 | } |
||
| 1496 | |||
| 1497 | // Return |
||
| 1498 | 2 | return $returnValue; |
|
| 1499 | } |
||
| 1500 | |||
| 1501 | /** |
||
| 1502 | * SUMPRODUCT. |
||
| 1503 | * |
||
| 1504 | * Excel Function: |
||
| 1505 | * SUMPRODUCT(value1[,value2[, ...]]) |
||
| 1506 | * |
||
| 1507 | * @category Mathematical and Trigonometric Functions |
||
| 1508 | * |
||
| 1509 | * @param mixed ...$args Data values |
||
| 1510 | * |
||
| 1511 | * @return float|string The result, or a string containing an error |
||
| 1512 | */ |
||
| 1513 | 3 | public static function SUMPRODUCT(...$args) |
|
| 1514 | { |
||
| 1515 | 3 | $arrayList = $args; |
|
| 1516 | |||
| 1517 | 3 | $wrkArray = Functions::flattenArray(array_shift($arrayList)); |
|
| 1518 | 3 | $wrkCellCount = count($wrkArray); |
|
| 1519 | |||
| 1520 | 3 | for ($i = 0; $i < $wrkCellCount; ++$i) { |
|
| 1521 | 3 | if ((!is_numeric($wrkArray[$i])) || (is_string($wrkArray[$i]))) { |
|
| 1522 | $wrkArray[$i] = 0; |
||
| 1523 | } |
||
| 1524 | } |
||
| 1525 | |||
| 1526 | 3 | foreach ($arrayList as $matrixData) { |
|
| 1527 | 3 | $array2 = Functions::flattenArray($matrixData); |
|
| 1528 | 3 | $count = count($array2); |
|
| 1529 | 3 | if ($wrkCellCount != $count) { |
|
| 1530 | return Functions::VALUE(); |
||
| 1531 | } |
||
| 1532 | |||
| 1533 | 3 | foreach ($array2 as $i => $val) { |
|
| 1534 | 3 | if ((!is_numeric($val)) || (is_string($val))) { |
|
| 1535 | $val = 0; |
||
| 1536 | } |
||
| 1537 | 3 | $wrkArray[$i] *= $val; |
|
| 1538 | } |
||
| 1539 | } |
||
| 1540 | |||
| 1541 | 3 | return array_sum($wrkArray); |
|
| 1542 | } |
||
| 1543 | |||
| 1544 | /** |
||
| 1545 | * SUMSQ. |
||
| 1546 | * |
||
| 1547 | * SUMSQ returns the sum of the squares of the arguments |
||
| 1548 | * |
||
| 1549 | * Excel Function: |
||
| 1550 | * SUMSQ(value1[,value2[, ...]]) |
||
| 1551 | * |
||
| 1552 | * @category Mathematical and Trigonometric Functions |
||
| 1553 | * |
||
| 1554 | * @param mixed ...$args Data values |
||
| 1555 | * |
||
| 1556 | * @return float |
||
| 1557 | */ |
||
| 1558 | 7 | public static function SUMSQ(...$args) |
|
| 1559 | { |
||
| 1560 | 7 | $returnValue = 0; |
|
| 1561 | |||
| 1562 | // Loop through arguments |
||
| 1563 | 7 | foreach (Functions::flattenArray($args) as $arg) { |
|
| 1564 | // Is it a numeric value? |
||
| 1565 | 7 | if ((is_numeric($arg)) && (!is_string($arg))) { |
|
| 1566 | 7 | $returnValue += ($arg * $arg); |
|
| 1567 | } |
||
| 1568 | } |
||
| 1569 | |||
| 1570 | 7 | return $returnValue; |
|
| 1571 | } |
||
| 1572 | |||
| 1573 | /** |
||
| 1574 | * SUMX2MY2. |
||
| 1575 | * |
||
| 1576 | * @param mixed[] $matrixData1 Matrix #1 |
||
| 1577 | * @param mixed[] $matrixData2 Matrix #2 |
||
| 1578 | * |
||
| 1579 | * @return float |
||
| 1580 | */ |
||
| 1581 | 3 | public static function SUMX2MY2($matrixData1, $matrixData2) |
|
| 1582 | { |
||
| 1583 | 3 | $array1 = Functions::flattenArray($matrixData1); |
|
| 1584 | 3 | $array2 = Functions::flattenArray($matrixData2); |
|
| 1585 | 3 | $count = min(count($array1), count($array2)); |
|
| 1586 | |||
| 1587 | 3 | $result = 0; |
|
| 1588 | 3 | for ($i = 0; $i < $count; ++$i) { |
|
| 1589 | 3 | if (((is_numeric($array1[$i])) && (!is_string($array1[$i]))) && |
|
| 1590 | 3 | ((is_numeric($array2[$i])) && (!is_string($array2[$i])))) { |
|
| 1591 | 3 | $result += ($array1[$i] * $array1[$i]) - ($array2[$i] * $array2[$i]); |
|
| 1592 | } |
||
| 1593 | } |
||
| 1594 | |||
| 1595 | 3 | return $result; |
|
| 1596 | } |
||
| 1597 | |||
| 1598 | /** |
||
| 1599 | * SUMX2PY2. |
||
| 1600 | * |
||
| 1601 | * @param mixed[] $matrixData1 Matrix #1 |
||
| 1602 | * @param mixed[] $matrixData2 Matrix #2 |
||
| 1603 | * |
||
| 1604 | * @return float |
||
| 1605 | */ |
||
| 1606 | 3 | public static function SUMX2PY2($matrixData1, $matrixData2) |
|
| 1607 | { |
||
| 1608 | 3 | $array1 = Functions::flattenArray($matrixData1); |
|
| 1609 | 3 | $array2 = Functions::flattenArray($matrixData2); |
|
| 1610 | 3 | $count = min(count($array1), count($array2)); |
|
| 1611 | |||
| 1612 | 3 | $result = 0; |
|
| 1613 | 3 | for ($i = 0; $i < $count; ++$i) { |
|
| 1614 | 3 | if (((is_numeric($array1[$i])) && (!is_string($array1[$i]))) && |
|
| 1615 | 3 | ((is_numeric($array2[$i])) && (!is_string($array2[$i])))) { |
|
| 1616 | 3 | $result += ($array1[$i] * $array1[$i]) + ($array2[$i] * $array2[$i]); |
|
| 1617 | } |
||
| 1618 | } |
||
| 1619 | |||
| 1620 | 3 | return $result; |
|
| 1621 | } |
||
| 1622 | |||
| 1623 | /** |
||
| 1624 | * SUMXMY2. |
||
| 1625 | * |
||
| 1626 | * @param mixed[] $matrixData1 Matrix #1 |
||
| 1627 | * @param mixed[] $matrixData2 Matrix #2 |
||
| 1628 | * |
||
| 1629 | * @return float |
||
| 1630 | */ |
||
| 1631 | 3 | public static function SUMXMY2($matrixData1, $matrixData2) |
|
| 1632 | { |
||
| 1633 | 3 | $array1 = Functions::flattenArray($matrixData1); |
|
| 1634 | 3 | $array2 = Functions::flattenArray($matrixData2); |
|
| 1635 | 3 | $count = min(count($array1), count($array2)); |
|
| 1636 | |||
| 1637 | 3 | $result = 0; |
|
| 1638 | 3 | for ($i = 0; $i < $count; ++$i) { |
|
| 1639 | 3 | if (((is_numeric($array1[$i])) && (!is_string($array1[$i]))) && |
|
| 1640 | 3 | ((is_numeric($array2[$i])) && (!is_string($array2[$i])))) { |
|
| 1641 | 3 | $result += ($array1[$i] - $array2[$i]) * ($array1[$i] - $array2[$i]); |
|
| 1642 | } |
||
| 1643 | } |
||
| 1644 | |||
| 1645 | 3 | return $result; |
|
| 1646 | } |
||
| 1647 | |||
| 1648 | /** |
||
| 1649 | * TRUNC. |
||
| 1650 | * |
||
| 1651 | * Truncates value to the number of fractional digits by number_digits. |
||
| 1652 | * |
||
| 1653 | * @param float $value |
||
| 1654 | * @param int $digits |
||
| 1655 | * |
||
| 1656 | * @return float|string Truncated value, or a string containing an error |
||
| 1657 | */ |
||
| 1658 | 19 | public static function TRUNC($value = 0, $digits = 0) |
|
| 1659 | { |
||
| 1660 | 19 | $value = Functions::flattenSingleValue($value); |
|
| 1661 | 19 | $digits = Functions::flattenSingleValue($digits); |
|
| 1662 | |||
| 1663 | // Validate parameters |
||
| 1664 | 19 | if ((!is_numeric($value)) || (!is_numeric($digits))) { |
|
| 1665 | 2 | return Functions::VALUE(); |
|
| 1666 | } |
||
| 1667 | 17 | $digits = floor($digits); |
|
| 1668 | |||
| 1669 | // Truncate |
||
| 1670 | 17 | $adjust = pow(10, $digits); |
|
| 1671 | |||
| 1672 | 17 | if (($digits > 0) && (rtrim((int) ((abs($value) - abs((int) $value)) * $adjust), '0') < $adjust / 10)) { |
|
| 1673 | 2 | return $value; |
|
| 1674 | } |
||
| 1675 | |||
| 1676 | 15 | return ((int) ($value * $adjust)) / $adjust; |
|
| 1677 | } |
||
| 1678 | |||
| 1679 | /** |
||
| 1680 | * SEC. |
||
| 1681 | * |
||
| 1682 | * Returns the secant of an angle. |
||
| 1683 | * |
||
| 1684 | * @param float $angle Number |
||
| 1685 | * |
||
| 1686 | * @return float|string The secant of the angle |
||
| 1687 | */ |
||
| 1688 | 14 | public static function SEC($angle) |
|
| 1689 | { |
||
| 1690 | 14 | $angle = Functions::flattenSingleValue($angle); |
|
| 1691 | |||
| 1692 | 14 | if (!is_numeric($angle)) { |
|
| 1693 | 1 | return Functions::VALUE(); |
|
| 1694 | } |
||
| 1695 | |||
| 1696 | 13 | $result = cos($angle); |
|
| 1697 | |||
| 1698 | 13 | return ($result == 0.0) ? Functions::DIV0() : 1 / $result; |
|
| 1699 | } |
||
| 1700 | |||
| 1701 | /** |
||
| 1702 | * SECH. |
||
| 1703 | * |
||
| 1704 | * Returns the hyperbolic secant of an angle. |
||
| 1705 | * |
||
| 1706 | * @param float $angle Number |
||
| 1707 | * |
||
| 1708 | * @return float|string The hyperbolic secant of the angle |
||
| 1709 | */ |
||
| 1710 | 14 | public static function SECH($angle) |
|
| 1711 | { |
||
| 1712 | 14 | $angle = Functions::flattenSingleValue($angle); |
|
| 1713 | |||
| 1714 | 14 | if (!is_numeric($angle)) { |
|
| 1715 | 1 | return Functions::VALUE(); |
|
| 1716 | } |
||
| 1717 | |||
| 1718 | 13 | $result = cosh($angle); |
|
| 1719 | |||
| 1720 | 13 | return ($result == 0.0) ? Functions::DIV0() : 1 / $result; |
|
| 1721 | } |
||
| 1722 | |||
| 1723 | /** |
||
| 1724 | * CSC. |
||
| 1725 | * |
||
| 1726 | * Returns the cosecant of an angle. |
||
| 1727 | * |
||
| 1728 | * @param float $angle Number |
||
| 1729 | * |
||
| 1730 | * @return float|string The cosecant of the angle |
||
| 1731 | */ |
||
| 1732 | 10 | public static function CSC($angle) |
|
| 1733 | { |
||
| 1734 | 10 | $angle = Functions::flattenSingleValue($angle); |
|
| 1735 | |||
| 1736 | 10 | if (!is_numeric($angle)) { |
|
| 1737 | 1 | return Functions::VALUE(); |
|
| 1738 | } |
||
| 1739 | |||
| 1740 | 9 | $result = sin($angle); |
|
| 1741 | |||
| 1742 | 9 | return ($result == 0.0) ? Functions::DIV0() : 1 / $result; |
|
| 1743 | } |
||
| 1744 | |||
| 1745 | /** |
||
| 1746 | * CSCH. |
||
| 1747 | * |
||
| 1748 | * Returns the hyperbolic cosecant of an angle. |
||
| 1749 | * |
||
| 1750 | * @param float $angle Number |
||
| 1751 | * |
||
| 1752 | * @return float|string The hyperbolic cosecant of the angle |
||
| 1753 | */ |
||
| 1754 | 14 | public static function CSCH($angle) |
|
| 1755 | { |
||
| 1756 | 14 | $angle = Functions::flattenSingleValue($angle); |
|
| 1757 | |||
| 1758 | 14 | if (!is_numeric($angle)) { |
|
| 1759 | 1 | return Functions::VALUE(); |
|
| 1760 | } |
||
| 1761 | |||
| 1762 | 13 | $result = sinh($angle); |
|
| 1763 | |||
| 1764 | 13 | return ($result == 0.0) ? Functions::DIV0() : 1 / $result; |
|
| 1765 | } |
||
| 1766 | |||
| 1767 | /** |
||
| 1768 | * COT. |
||
| 1769 | * |
||
| 1770 | * Returns the cotangent of an angle. |
||
| 1771 | * |
||
| 1772 | * @param float $angle Number |
||
| 1773 | * |
||
| 1774 | * @return float|string The cotangent of the angle |
||
| 1775 | */ |
||
| 1776 | 10 | public static function COT($angle) |
|
| 1777 | { |
||
| 1778 | 10 | $angle = Functions::flattenSingleValue($angle); |
|
| 1779 | |||
| 1780 | 10 | if (!is_numeric($angle)) { |
|
| 1781 | 1 | return Functions::VALUE(); |
|
| 1782 | } |
||
| 1783 | |||
| 1784 | 9 | $result = tan($angle); |
|
| 1785 | |||
| 1786 | 9 | return ($result == 0.0) ? Functions::DIV0() : 1 / $result; |
|
| 1787 | } |
||
| 1788 | |||
| 1789 | /** |
||
| 1790 | * COTH. |
||
| 1791 | * |
||
| 1792 | * Returns the hyperbolic cotangent of an angle. |
||
| 1793 | * |
||
| 1794 | * @param float $angle Number |
||
| 1795 | * |
||
| 1796 | * @return float|string The hyperbolic cotangent of the angle |
||
| 1797 | */ |
||
| 1798 | 14 | public static function COTH($angle) |
|
| 1799 | { |
||
| 1800 | 14 | $angle = Functions::flattenSingleValue($angle); |
|
| 1801 | |||
| 1802 | 14 | if (!is_numeric($angle)) { |
|
| 1803 | 1 | return Functions::VALUE(); |
|
| 1804 | } |
||
| 1805 | |||
| 1806 | 13 | $result = tanh($angle); |
|
| 1807 | |||
| 1808 | 13 | return ($result == 0.0) ? Functions::DIV0() : 1 / $result; |
|
| 1809 | } |
||
| 1810 | |||
| 1811 | /** |
||
| 1812 | * ACOT. |
||
| 1813 | * |
||
| 1814 | * Returns the arccotangent of a number. |
||
| 1815 | * |
||
| 1816 | * @param float $number Number |
||
| 1817 | * |
||
| 1818 | * @return float|string The arccotangent of the number |
||
| 1819 | */ |
||
| 1820 | 14 | public static function ACOT($number) |
|
| 1829 | } |
||
| 1830 | |||
| 1831 | /** |
||
| 1832 | * ACOTH. |
||
| 1833 | * |
||
| 1834 | * Returns the hyperbolic arccotangent of a number. |
||
| 1835 | * |
||
| 1836 | * @param float $number Number |
||
| 1837 | * |
||
| 1838 | * @return float|string The hyperbolic arccotangent of the number |
||
| 1839 | */ |
||
| 1840 | 14 | public static function ACOTH($number) |
|
| 1851 | } |
||
| 1852 | } |
||
| 1853 |
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