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<?php |
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namespace Del\Phi; |
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class Fraction |
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{ |
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/** @var int $whole */ |
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private $whole; |
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/** @var int $numerator */ |
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private $numerator; |
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/** @var int $denominator */ |
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private $denominator; |
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/** @var bool $negative */ |
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private $negative; |
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public function __construct($whole = 0, $numerator = 0, $denominator = 1) |
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{ |
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$this->whole = $whole; |
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$this->numerator = $numerator; |
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$this->denominator = $denominator; |
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$this->negative = false; |
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} |
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/** |
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* @return int |
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*/ |
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public function getWhole() |
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{ |
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return $this->whole; |
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} |
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/** |
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* @param int $whole |
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* @return Fraction |
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*/ |
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public function setWhole($whole) |
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{ |
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$this->whole = $whole; |
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return $this; |
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} |
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/** |
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* @return int |
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*/ |
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public function getNumerator() |
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{ |
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return $this->numerator; |
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} |
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/** |
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* @param int $numerator |
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* @return Fraction |
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*/ |
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public function setNumerator($numerator) |
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{ |
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$this->numerator = $numerator; |
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return $this; |
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} |
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/** |
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* @return int |
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*/ |
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public function getDenominator() |
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{ |
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return $this->denominator; |
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} |
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/** |
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* @param int $denominator |
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* @return Fraction |
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*/ |
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public function setDenominator($denominator) |
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{ |
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$this->denominator = $denominator; |
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return $this; |
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} |
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private function refactor() |
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{ |
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// 9/8 would become 1 1/8 for instance |
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if ($this->numerator >= $this->denominator) { |
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$this->refactorWhole(); |
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} |
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if ($this->numerator > 0) { |
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$this->refactorFraction(); |
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} |
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} |
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private function refactorWhole() |
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{ |
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// decrement $x and the numerator by the denominator each loop, and add to the whole |
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for ($x = $this->numerator; $x >= $this->denominator; $x = $x - $this->denominator) { |
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$this->whole ++; |
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$this->numerator -= $this->denominator; |
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} |
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} |
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/** |
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* a/b × c/d = ac/bd |
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*/ |
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private function refactorFraction() |
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{ |
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$gcd = $this->getGreatestCommonDenominator($this->numerator, $this->denominator); |
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$this->numerator = $this->numerator / $gcd; |
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$this->denominator = $this->denominator / $gcd; |
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} |
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/** |
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* @param int $x |
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* @param int $y |
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* @return int |
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*/ |
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private function getGreatestCommonDenominator($x, $y) |
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{ |
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// first get the common denominators of both numerator and denominator |
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$factorsX = $this->getFactors($x); |
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$factorsY = $this->getFactors($y); |
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// common denominators will be in both arrays, so get the intersect |
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$commonDenominators = array_intersect($factorsX, $factorsY); |
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// greatest common denominator is the highest number (last in the array) |
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$gcd = array_pop($commonDenominators); |
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return $gcd; |
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} |
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/** |
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* @param int $num |
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* @return array The common denominators of $num |
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*/ |
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private function getFactors($num) |
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{ |
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$factors = []; |
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// get factors of the numerator |
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for ($x = 1; $x <= $num; $x ++) { |
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if ($num % $x == 0) { |
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$factors[] = $x; |
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} |
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} |
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return $factors; |
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} |
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/** |
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* @return bool |
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*/ |
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public function isNegative() |
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{ |
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return $this->negative; |
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} |
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/** |
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* @param bool $negative |
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* @return Fraction |
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*/ |
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public function setNegative($negative) |
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{ |
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$this->negative = $negative; |
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return $this; |
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} |
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/** |
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* @return bool |
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*/ |
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public function isInteger() |
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{ |
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return $this->numerator % $this->denominator == 0; |
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} |
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/** |
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* @return string |
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*/ |
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public function __toString() |
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{ |
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$this->refactor(); |
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// if the whole is 0, don't display it |
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$whole = $this->whole == 0 ? '' : $this->whole; |
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$fraction = $this->numerator > 0 ? $this->numerator.'/'.$this->denominator : ''; |
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$space = ($whole && $fraction) ? ' ' : ''; |
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return $whole.$space.$fraction; |
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} |
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/** |
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* @return float |
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*/ |
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public function toDecimal() |
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{ |
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/* |
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* a divide symbol. so this is broken and will need refactoring to be accurate. ;-) |
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*/ |
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$decimal = $this->numerator / $this->denominator; |
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$number = $this->whole + $decimal; |
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return $number; |
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} |
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} |
delboy1978uk /
phi
