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<?php |
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namespace Vctls\IntervalGraph; |
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use Closure; |
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/** |
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* Transforms an array of overlapping intervals into another array of adjacent intervals. |
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* |
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* Each new interval holds the keys of the corresponding original intervals. |
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* |
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* @package Vctls\IntervalGraph |
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*/ |
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class Flattener |
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{ |
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/** @var Closure Substract one step from a bound value. */ |
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protected $substractStep; |
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/** @var Closure Add one step to the bound value. */ |
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protected $addStep; |
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/** |
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* Set the Closure for decrementing bound values when dealing with |
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* discontinuous sets. |
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* |
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* @param Closure $substractStep |
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* @return Flattener |
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*/ |
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public function setSubstractStep(Closure $substractStep): Flattener |
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{ |
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$this->substractStep = $substractStep; |
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return $this; |
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} |
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/** |
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* Set the Closure for incrementing bound values when dealing with |
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* discontinuous sets. |
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* |
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* @param Closure $addStep |
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* @return Flattener |
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*/ |
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public function setAddStep(Closure $addStep): Flattener |
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{ |
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$this->addStep = $addStep; |
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return $this; |
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} |
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/** |
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* Make an array of bounds from an array of intervals. |
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* |
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* Assign the value of the interval to each bound. |
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* |
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* Assign and a '+' sign if it is a low bound, and a '-' if it is an high bound. |
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* ``` |
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* bound = [ |
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* bound value, |
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* bound type, |
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* TODO included, |
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* interval key, |
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* interval value |
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* ] |
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* ``` |
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* |
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* @param array[] $intervals |
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* @return array[] |
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*/ |
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public static function intervalsToSignedBounds($intervals): array |
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{ |
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$bounds = []; |
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foreach ($intervals as $key => $interval) { |
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// TODO Get included boolean from interval bound. |
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$bounds[] = [$interval[1], '-', true, $key, $interval[2] ?? null]; |
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$bounds[] = [$interval[0], '+', true, $key, $interval[2] ?? null]; |
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} |
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// Order the bounds. |
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usort($bounds, static function (array $d1, array $d2) { |
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return ($d1[0] < $d2[0]) ? -1 : 1; |
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}); |
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return $bounds; |
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} |
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/** |
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* Extract discrete values from an array of intervals. |
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* |
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* Intervals with the exact same lower and higher bound will be considered as discrete values. |
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* |
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* They will be removed from the initial array, and returned in a separate array. |
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* |
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* @param array $intervals The initial array. |
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* @return array An array containing only discrete values. |
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*/ |
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public static function extractDiscreteValues(array &$intervals): array |
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{ |
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$discreteValues = array_filter($intervals, static function ($interval) { |
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return $interval[0] === $interval[1]; |
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}); |
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$intervals = array_diff_key($intervals, $discreteValues); |
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return $discreteValues; |
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} |
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/** |
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* Create each new interval and calculate its value based on the active intervals on each bound. |
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* |
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* @param array[] $intervals |
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* @return array[] |
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*/ |
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public function flatten(array $intervals): array |
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{ |
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$discreteValues = self::extractDiscreteValues($intervals); |
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$bounds = self::intervalsToSignedBounds($intervals); |
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$newIntervals = []; |
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$activeIntervals = []; |
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$boundsCount = count($bounds); |
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// Create new intervals for each set of two consecutive bounds, |
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// and calculate its total value. |
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for ($i = 1; $i < $boundsCount; $i++) { |
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// Set the current bound. |
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[$curBoundValue, $curBoundType, $curBoundIncluded, $curBoundIntervalKey] = $bounds[$i - 1]; |
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[$nextBoundValue, $nextBoundType, $nextBoundIncluded] = $bounds[$i]; |
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if ($curBoundType === '+') { |
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// If this is a low bound, |
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// add the key of the interval to the array of active intervals. |
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$activeIntervals[$curBoundIntervalKey] = true; |
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} else { |
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// If this is an high bound, remove the key. |
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unset($activeIntervals[$curBoundIntervalKey]); |
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} |
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if ( |
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isset($this->addStep, $this->substractStep) && ( |
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($nextBoundIncluded && $nextBoundType === '+') |
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|| (!$nextBoundIncluded && $nextBoundType === '+') |
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) |
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) { |
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$newHighBound = ($this->substractStep)($nextBoundValue); |
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} else { |
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$newHighBound = $nextBoundValue; |
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} |
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if ( |
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isset($this->addStep, $this->substractStep) && $curBoundType === '-' && $curBoundIncluded |
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) { |
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$newLowBound = ($this->addStep)($curBoundValue); |
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} else { |
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$newLowBound = $curBoundValue; |
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} |
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$newIntervals[] = [ |
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$newLowBound, |
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$newHighBound, |
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$activeIntervals |
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]; |
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} |
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// Remove empty interval generated when two or more intervals share a common bound. |
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$newIntervals = array_values(array_filter($newIntervals, static function ($i) { |
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// Use weak comparison in case of object typed bounds. |
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return $i[0] != $i[1]; |
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})); |
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// Push discrete values back into the array. |
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if (!empty($discreteValues)) { |
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array_push($newIntervals, ...$discreteValues); |
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} |
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return $newIntervals; |
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} |
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} |
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vctls /
php-interval-graph
