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<?php |
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namespace Common\Tool; |
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/** |
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* Utility for financial calculations |
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*/ |
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class NumberTool |
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{ |
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protected const SCALE = 10; |
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/** |
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* Convert numeric variable to string with right formatting |
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* @param mixed $s |
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* @return string |
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*/ |
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private static function f($s) |
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{ |
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return sprintf('%.' . self::SCALE . 'f', $s); |
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} |
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/** |
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* Performs addition |
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* NumberTool::add('2.71', '3.18') //5.89 |
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* @param string $op1 |
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* @param string $op2 |
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* @param boolean $round |
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* @return string |
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*/ |
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public static function add($op1, $op2, $round = true) |
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{ |
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$res = bcadd(self::f($op1), self::f($op2), self::SCALE); |
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return $round ? self::round($res) : $res; |
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} |
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/** |
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* Performs substraction |
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* NumberTool::sub('5.89', '3.18') //2.71 |
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* @param string $op1 |
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* @param string $op2 |
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* @param boolean $round |
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* @return string |
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*/ |
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public static function sub($op1, $op2, $round = true) |
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{ |
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$res = bcsub(self::f($op1), self::f($op2), self::SCALE); |
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return $round ? self::round($res) : $res; |
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} |
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/** |
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* Performs multiplication |
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* NumberTool::mul('16.69', '12.47') //208.12 |
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* @param string $op1 |
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* @param string $op2 |
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* @param boolean $round |
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* @return string |
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*/ |
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public static function mul($op1, $op2, $round = true) |
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{ |
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$res = bcmul(self::f($op1), self::f($op2), self::SCALE); |
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return $round ? self::round($res) : $res; |
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} |
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/** |
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* Performs division |
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* NumberTool::div('208.12', '16.69') //12.47 |
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* @param string $op1 |
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* @param string $op2 |
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* @param boolean $round |
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* @return string |
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*/ |
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public static function div($op1, $op2, $round = true) |
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{ |
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$res = bcdiv(self::f($op1), self::f($op2), self::SCALE); |
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return $round ? self::round($res) : $res; |
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} |
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/** |
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* Rise $left to $right |
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* @param string $left left operand |
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* @param string $right right operand |
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* @param boolean $round |
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* @return string|float|int |
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*/ |
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public static function pow($left, $right, $round = true) |
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{ |
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//bcpow does not support decimal numbers |
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$res = $left ** $right; |
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return $round ? self::round($res) : $res; |
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} |
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/** |
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* Truncates decimal number to given precision |
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* NumberTool::truncate('1.9999', 2) //1.99 |
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* @param string $number |
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* @param integer $precision |
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* @return string |
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*/ |
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public static function truncate($number, $precision) |
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{ |
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$x = explode('.', $number); |
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if (count($x) === 1) { |
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return $x[0]; |
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} |
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if ($precision === 0) { |
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return $x[0]; |
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} |
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return $x[0] . '.' . substr($x[1], 0, $precision); |
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} |
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/** |
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* Absolute number value |
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* NumberTool::abs('-10.99') //10.99 |
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* @param string $number |
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* @return string |
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*/ |
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public static function abs($number) |
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{ |
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$number = self::f($number); |
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if ($number === '') { |
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return $number; |
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} |
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if ($number[0] !== '-') { |
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return $number; |
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} |
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return substr($number, 1); |
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} |
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/** |
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* Rounds number with precision of $precision decimal places |
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* NumberTool::round('208.1243') //208.12 |
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* @param string|int|float $val |
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* @param integer $precision |
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* @return string |
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*/ |
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public static function round($val, $precision = 2) |
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{ |
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return number_format(round($val, $precision), $precision, '.', ''); |
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} |
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/** |
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* Formats number to decimal |
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* |
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* @param string $val |
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* @param integer $precision |
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* @return string |
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*/ |
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public static function format($val, $precision = 2) |
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{ |
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return number_format($val, $precision, '.', ''); |
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} |
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/** |
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* Rounds down number with precision of $precision decimal places |
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* NumberTool::roundDown('2.03717') //2.03 |
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* @param string $val |
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* @param integer $precision |
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* @return string |
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*/ |
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public static function roundDown($val, $precision = 2) |
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{ |
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if (self::isZero($val)) { |
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return self::round($val, $precision); |
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} |
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$half = 0.5 / (10 ** $precision); |
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return number_format(round($val - $half, $precision), $precision, '.', ''); |
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} |
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/** |
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* Floor |
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* @param string $val |
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* @return string |
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*/ |
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public static function floor($val) |
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{ |
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return self::truncate($val, 0); |
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} |
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/** |
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* Rounds number with custom precision and custom format |
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* Example: NumberTool::round('208.1243', 2) // 208.12 |
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* |
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* @access public |
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* @param numeric $val |
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* @param int $precision |
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* @return string |
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*/ |
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public static function roundCustom($val, $precision = 1) |
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{ |
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return self::round($val, $precision); |
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} |
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/** |
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* Calculates percentage |
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* NumberTool::percent('19.99', '21.00') //4.20 |
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* @param string $amount |
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* @param string $percentage |
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* @param boolean $round |
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* @return string |
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*/ |
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public static function percent($amount, $percentage, $round = true) |
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{ |
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$res = bcmul(self::f($amount), bcdiv(self::f($percentage), '100', self::SCALE), self::SCALE); |
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return $round ? self::round($res) : $res; |
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} |
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/** |
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* NumberTool::addPercent('19.99', '21.00') //24.19 |
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* @param string $amount |
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* @param string $percentage |
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* @return string |
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*/ |
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public static function addPercent($amount, $percentage, $round = true) |
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{ |
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$res = bcadd(self::f($amount), self::percent(self::f($amount), self::f($percentage)), self::SCALE); |
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return $round ? self::round($res) : $res; |
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} |
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/** |
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* NumberTool::beforePercentAddition('24.19', '21.00') //19.99 |
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* @param string $result |
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* @param string $percentage |
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* @return string |
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*/ |
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public static function beforePercentAddition($result, $percentage, $round = true) |
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{ |
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$res = bcmul(bcdiv($result, bcadd($percentage, '100', self::SCALE), self::SCALE), '100', self::SCALE); |
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return $round ? self::round($res) : $res; |
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} |
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public static function addVat($value, $percentage) |
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{ |
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return self::addPercent($value, $percentage); |
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} |
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public static function removeVat($total, $percentage) |
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{ |
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return self::beforePercentAddition($total, $percentage); |
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} |
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public static function vatAmount($total, $percentage): string |
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{ |
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$withoutVat = self::beforePercentAddition($total, $percentage, false); |
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return self::percent($withoutVat, $percentage); |
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} |
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public static function isNullOrZero($number): bool |
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{ |
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return $number === null || self::isZero($number); |
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} |
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public static function isZero($number): bool |
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{ |
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return (float)$number === .0; |
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} |
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/** |
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* Performs addition to all passed arguments |
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* NumberTool::add('1.00', '2.00', '3.00') //6.00 |
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* @param string $op1 |
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* @param string $op2 |
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* @param boolean $round |
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* @return string |
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*/ |
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public static function addAll() |
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{ |
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$res = '0.00'; |
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foreach (func_get_args() as $arg) { |
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$res = self::add($res, $arg); |
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} |
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return $res; |
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} |
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/** |
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* Returns true if $left is greater than $right |
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* @param string $left left operand |
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* @param string $right right operand |
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* @return bool |
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*/ |
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public static function gt($left, $right): bool |
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{ |
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return bccomp(self::f($left), self::f($right), self::SCALE) === 1; |
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} |
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/** |
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* Returns true if $left is greater than or equal to $right |
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* @param string $left left operand |
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* @param string $right right operand |
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* @return bool |
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*/ |
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public static function gte($left, $right): bool |
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{ |
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$comp = bccomp(self::f($left), self::f($right), self::SCALE); |
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return $comp === 0 || $comp === 1; |
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} |
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/** |
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* Returns true if $left is smaller than $right |
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* @param string $left left operand |
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* @param string $right right operand |
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* @return bool |
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*/ |
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public static function lt($left, $right): bool |
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{ |
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return bccomp(self::f($left), self::f($right), self::SCALE) === -1; |
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} |
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/** |
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* Returns true if $left is smaller than or equal to $right |
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* @param mixed $left left operand |
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* @param mixed $right right operand |
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* @return bool |
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*/ |
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public static function lte($left, $right): bool |
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{ |
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$comp = bccomp(self::f($left), self::f($right), self::SCALE); |
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return $comp === 0 || $comp === -1; |
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} |
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/** |
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* Returns true if $left is equal to $right |
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* @param string $left left operand |
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* @param string $right right operand |
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* @return bool |
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*/ |
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public static function eq($left, $right): bool |
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{ |
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return bccomp(self::f($left), self::f($right), self::SCALE) === 0; |
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} |
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334
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335
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/** |
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336
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* PHP Version of PMT in Excel. |
|
337
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* |
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338
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* @param float $apr |
|
339
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* Interest rate. |
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340
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* @param integer $term |
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341
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* Loan length in months. |
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342
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* @param float $loan |
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343
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* The loan amount. |
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344
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* |
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345
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* @return float |
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346
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* The monthly mortgage amount. |
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347
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*/ |
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348
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public static function pmt($apr, $term, $loan): float |
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349
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{ |
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350
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$apr = $apr / 1200; |
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351
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$amount = $apr * -$loan * ((1 + $apr) ** $term) / (1 - ((1 + $apr) ** $term)); |
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352
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return number_format($amount, 2); |
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353
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} |
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354
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355
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/** |
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356
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* Calculate median value by array values. |
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357
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* |
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358
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* @access public |
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359
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* @param array $values |
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360
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* @param boolean $round |
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361
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* @return float|string |
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362
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*/ |
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363
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public static function calculateMedian($values, $round = true) |
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364
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{ |
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365
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$count = count($values); // total numbers in array |
|
366
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$middleval = floor(($count - 1) / 2); // find the middle value, or the lowest middle value |
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367
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|
368
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if ($count % 2) { // odd number, middle is the median |
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369
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$median = $values[$middleval]; |
|
370
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} else { // even number, calculate avg of 2 medians |
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371
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$low = $values[$middleval]; |
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372
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$high = $values[$middleval + 1]; |
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373
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$median = (($low + $high) / 2); |
|
374
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} |
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375
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|
376
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return $round ? self::round($median) : $median; |
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377
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} |
|
378
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|
379
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|
/** |
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380
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* Calculate average value by array values. |
|
381
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* |
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382
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* @access public |
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383
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* @param array $values |
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384
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* @param boolean $round |
|
385
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* @return float|string |
|
386
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*/ |
|
387
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|
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public static function calculateAverage($values, $round = true) |
|
388
|
|
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{ |
|
389
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|
$count = count($values); // total numbers in array |
|
390
|
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|
391
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|
$total = 0; |
|
392
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|
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foreach ($values as $value) { |
|
393
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|
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$total += $value; // total value of array numbers |
|
394
|
|
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} |
|
395
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|
|
$average = ($total / $count); // get average value |
|
396
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|
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|
|
397
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|
|
return $round ? self::round($average) : $average; |
|
398
|
|
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} |
|
399
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|
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|
|
400
|
|
|
public static function numberToText($number, $locale = null) |
|
401
|
|
|
{ |
|
402
|
|
|
if (!$locale) { |
|
403
|
|
|
$locale = 'en'; |
|
404
|
|
|
} |
|
405
|
|
|
|
|
406
|
|
|
$style = \NumberFormatter::SPELLOUT; |
|
407
|
|
|
$formatter = new \NumberFormatter($locale, $style); |
|
408
|
|
|
|
|
409
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|
|
// Format |
|
410
|
|
|
$formatted = $formatter->format($number); |
|
411
|
|
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|
|
412
|
|
|
// Remove soft hyphens |
|
413
|
|
|
$formatted = preg_replace('~\x{00AD}~u', '', $formatted); |
|
414
|
|
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|
|
415
|
|
|
return $formatted; |
|
416
|
|
|
} |
|
417
|
|
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|
|
418
|
|
|
/** |
|
419
|
|
|
* Returns rounded value and difference after rounding |
|
420
|
|
|
* @param mixed $value |
|
421
|
|
|
* @return array |
|
422
|
|
|
*/ |
|
423
|
|
|
public static function getRoundedValueAndDifference($value): array |
|
424
|
|
|
{ |
|
425
|
|
|
$rounded = self::truncate($value, 2); |
|
426
|
|
|
$diff = self::sub($value, $rounded, false); |
|
427
|
|
|
|
|
428
|
|
|
return [ |
|
429
|
|
|
'roundedValue' => $rounded, |
|
430
|
|
|
'diff' => $diff, |
|
431
|
|
|
]; |
|
432
|
|
|
} |
|
433
|
|
|
|
|
434
|
|
|
/** |
|
435
|
|
|
* @param float|int $total |
|
436
|
|
|
* @param float|int $partial |
|
437
|
|
|
* @return float|int |
|
438
|
|
|
*/ |
|
439
|
|
|
public static function getPercentageBetweenTwo($total, $partial) |
|
440
|
|
|
{ |
|
441
|
|
|
if (0 == $partial) { |
|
442
|
|
|
return 0; |
|
443
|
|
|
} |
|
444
|
|
|
|
|
445
|
|
|
return number_format(($partial / $total) * 100, 2); |
|
|
|
|
|
|
446
|
|
|
} |
|
447
|
|
|
|
|
448
|
|
|
/** |
|
449
|
|
|
* Usage: |
|
450
|
|
|
* NumberTool::result('$1 + $2', $variable, $variableTwo) |
|
451
|
|
|
* NumberTool::result('((1 + $1)^12 - 1) * 100', $variable) |
|
452
|
|
|
* |
|
453
|
|
|
* @param string $string |
|
454
|
|
|
* @return string |
|
455
|
|
|
*/ |
|
456
|
|
|
public static function result(string $string): string |
|
457
|
|
|
{ |
|
458
|
|
|
bcscale(self::SCALE); |
|
459
|
|
|
|
|
460
|
|
|
$argv = func_get_args(); |
|
461
|
|
|
$string = str_replace(' ', '', "({$string})"); |
|
462
|
|
|
|
|
463
|
|
|
$operations = []; |
|
464
|
|
|
if (strpos($string, '^') !== false) { |
|
465
|
|
|
$operations[] = '\^'; |
|
466
|
|
|
} |
|
467
|
|
|
if (strpbrk($string, '*/%') !== false) { |
|
468
|
|
|
$operations[] = '[\*\/\%]'; |
|
469
|
|
|
} |
|
470
|
|
|
if (strpbrk($string, '+-') !== false) { |
|
471
|
|
|
$operations[] = '[\+\-]'; |
|
472
|
|
|
} |
|
473
|
|
|
if (strpbrk($string, '<>!=') !== false) { |
|
474
|
|
|
$operations[] = '<|>|=|<=|==|>=|!=|<>'; |
|
475
|
|
|
} |
|
476
|
|
|
|
|
477
|
|
|
$string = preg_replace_callback('/\$([0-9\.]+)/', function ($matches) use ($argv) { |
|
478
|
|
|
return $argv[$matches[1]]; |
|
479
|
|
|
}, $string); |
|
480
|
|
|
|
|
481
|
|
|
while (preg_match('/\(([^\)\(]*)\)/', $string, $match)) { |
|
482
|
|
|
foreach ($operations as $operation) { |
|
483
|
|
|
if (preg_match("/([+-]{0,1}[0-9\.]+)($operation)([+-]{0,1}[0-9\.]+)/", $match[1], $m)) { |
|
484
|
|
|
$result = self::getResult($m[1], $m[2], $m[3]); |
|
485
|
|
|
$match[1] = str_replace($m[0], $result, $match[1]); |
|
486
|
|
|
} |
|
487
|
|
|
} |
|
488
|
|
|
$string = str_replace($match[0], $match[1], $string); |
|
489
|
|
|
} |
|
490
|
|
|
|
|
491
|
|
|
return $string; |
|
492
|
|
|
} |
|
493
|
|
|
|
|
494
|
|
|
private static function getResult($m1, string $operator, $m3) |
|
495
|
|
|
{ |
|
496
|
|
|
switch ($operator) { |
|
497
|
|
|
case '+': |
|
498
|
|
|
$result = bcadd($m1, $m3); |
|
499
|
|
|
break; |
|
500
|
|
|
case '-': |
|
501
|
|
|
$result = bcsub($m1, $m3); |
|
502
|
|
|
break; |
|
503
|
|
|
case '*': |
|
504
|
|
|
$result = bcmul($m1, $m3); |
|
505
|
|
|
break; |
|
506
|
|
|
case '/': |
|
507
|
|
|
$result = bcdiv($m1, $m3); |
|
508
|
|
|
break; |
|
509
|
|
|
case '%': |
|
510
|
|
|
$result = bcmod($m1, $m3); |
|
511
|
|
|
break; |
|
512
|
|
|
case '^': |
|
513
|
|
|
$result = bcpow($m1, $m3); |
|
514
|
|
|
break; |
|
515
|
|
|
case '==': |
|
516
|
|
|
case '=': |
|
517
|
|
|
$result = bccomp($m1, $m3) === 0; |
|
518
|
|
|
break; |
|
519
|
|
|
case '>': |
|
520
|
|
|
$result = bccomp($m1, $m3) === 1; |
|
521
|
|
|
break; |
|
522
|
|
|
case '<': |
|
523
|
|
|
$result = bccomp($m1, $m3) === -1; |
|
524
|
|
|
break; |
|
525
|
|
|
case '>=': |
|
526
|
|
|
$result = bccomp($m1, $m3) >= 0; |
|
527
|
|
|
break; |
|
528
|
|
|
case '<=': |
|
529
|
|
|
$result = bccomp($m1, $m3) <= 0; |
|
530
|
|
|
break; |
|
531
|
|
|
case '<>': |
|
532
|
|
|
case '!=': |
|
533
|
|
|
$result = bccomp($m1, $m3) != 0; |
|
534
|
|
|
break; |
|
535
|
|
|
} |
|
536
|
|
|
return $result; |
|
|
|
|
|
|
537
|
|
|
} |
|
538
|
|
|
} |
|
539
|
|
|
|