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<?php |
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namespace geoPHP\Geometry; |
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use geoPHP\Exception\InvalidGeometryException; |
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use geoPHP\Exception\UnsupportedMethodException; |
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use geoPHP\geoPHP; |
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/** |
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* Polygon: A polygon is a plane figure that is bounded by a closed path, |
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* composed of a finite sequence of straight line segments |
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* |
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* @method LineString[] getComponents() |
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* @property LineString[] $components |
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*/ |
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class Polygon extends Surface |
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{ |
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/** |
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* @param LineString[] $components |
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* @param bool|false $forceCreate |
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* @throws \Exception |
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*/ |
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public function __construct($components = [], $forceCreate = false) |
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{ |
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parent::__construct($components, null, LineString::class); |
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foreach ($this->getComponents() as $i => $component) { |
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if ($component->numPoints() < 4) { |
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throw new InvalidGeometryException( |
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'Cannot create Polygon: Invalid number of points in LinearRing. Found ' . |
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$component->numPoints() . ', expected more than 3' |
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); |
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} |
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if (!$component->isClosed()) { |
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if ($forceCreate) { |
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$this->components[$i] = new LineString( |
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array_merge($component->getComponents(), [$component->startPoint()]) |
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); |
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} else { |
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throw new InvalidGeometryException( |
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'Cannot create Polygon: contains non-closed ring (first point: ' |
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. implode(' ', $component->startPoint()->asArray()) . ', last point: ' |
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. implode(' ', $component->endPoint()->asArray()) . ')' |
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); |
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} |
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} |
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// This check is tooo expensive |
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//if (!$component->isSimple() && !$forceCreate) { |
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// throw new \Exception('Cannot create Polygon: geometry should be simple'); |
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//} |
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} |
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} |
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public function geometryType() |
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{ |
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return Geometry::POLYGON; |
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} |
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public function dimension() |
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{ |
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return 2; |
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} |
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/** |
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* @param bool|false $exteriorOnly Calculate the area of exterior ring only, or the polygon with holes |
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* @param bool|false $signed Usually we want to get positive area, but vertices order (CW or CCW) can be determined from signed area. |
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* |
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* @return float|null |
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*/ |
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public function area($exteriorOnly = false, $signed = false) |
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{ |
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if ($this->isEmpty()) { |
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return 0.0; |
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} |
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if ($this->getGeos() && $exteriorOnly == false) { |
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// @codeCoverageIgnoreStart |
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/** @noinspection PhpUndefinedMethodInspection */ |
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return $this->getGeos()->area(); |
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// @codeCoverageIgnoreEnd |
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} |
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$exteriorRing = $this->components[0]; |
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$points = $exteriorRing->getComponents(); |
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$pointCount = count($points); |
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if ($pointCount === 0) { |
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return null; |
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} |
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$a = 0.0; |
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foreach ($points as $k => $p) { |
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$j = ($k + 1) % $pointCount; |
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$a = $a + ($p->x() * $points[$j]->y()) - ($p->y() * $points[$j]->x()); |
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} |
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$area = $signed ? ($a / 2) : abs(($a / 2)); |
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if ($exteriorOnly == true) { |
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return $area; |
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} |
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foreach ($this->components as $delta => $component) { |
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if ($delta != 0) { |
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$innerPoly = new Polygon([$component]); |
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$area -= $innerPoly->area(); |
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} |
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} |
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return $area; |
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} |
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/** |
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* @return Point |
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*/ |
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public function centroid() |
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{ |
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if ($this->isEmpty()) { |
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return new Point(); |
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} |
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if ($this->getGeos()) { |
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// @codeCoverageIgnoreStart |
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/** @noinspection PhpUndefinedMethodInspection */ |
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return geoPHP::geosToGeometry($this->getGeos()->centroid()); |
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// @codeCoverageIgnoreEnd |
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} |
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$x = 0; |
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$y = 0; |
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$totalArea = 0; |
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foreach ($this->getComponents() as $i => $component) { |
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$ca = $this->getRingCentroidAndArea($component); |
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if ($i == 0) { |
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$totalArea += $ca['area']; |
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$x += $ca['x'] * $ca['area']; |
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$y += $ca['y'] * $ca['area']; |
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} else { |
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$totalArea -= $ca['area']; |
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$x += $ca['x'] * $ca['area'] * -1; |
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$y += $ca['y'] * $ca['area'] * -1; |
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} |
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} |
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if ($totalArea == 0.0) { |
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return new Point(); |
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} |
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return new Point($x / $totalArea, $y / $totalArea); |
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} |
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/** |
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* @param LineString $ring |
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* @return array |
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*/ |
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protected function getRingCentroidAndArea($ring) |
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{ |
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$area = (new Polygon([$ring]))->area(true, true); |
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$points = $ring->getPoints(); |
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$pointCount = count($points); |
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if ($pointCount === 0 || $area == 0.0) { |
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return ['area' => 0, 'x' => null, 'y' => null]; |
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} |
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$x = 0; |
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$y = 0; |
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foreach ($points as $k => $point) { |
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$j = ($k + 1) % $pointCount; |
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$P = ($point->x() * $points[$j]->y()) - ($point->y() * $points[$j]->x()); |
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$x += ($point->x() + $points[$j]->x()) * $P; |
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$y += ($point->y() + $points[$j]->y()) * $P; |
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} |
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return ['area' => abs($area), 'x' => $x / (6 * $area), 'y' => $y / (6 * $area)]; |
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} |
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/** |
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* Find the outermost point from the centroid |
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* |
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* @returns Point The outermost point |
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*/ |
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public function outermostPoint() |
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{ |
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$centroid = $this->centroid(); |
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if ($centroid->isEmpty()) { |
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return $centroid; |
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} |
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$maxDistance = 0; |
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$maxPoint = null; |
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foreach ($this->exteriorRing()->getPoints() as $point) { |
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$distance = $centroid->distance($point); |
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if ($distance > $maxDistance) { |
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$maxDistance = $distance; |
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$maxPoint = $point; |
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} |
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} |
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return $maxPoint; |
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} |
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/** |
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* @return LineString |
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*/ |
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public function exteriorRing() |
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{ |
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if ($this->isEmpty()) { |
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return new LineString(); |
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} |
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return $this->components[0]; |
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} |
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public function numInteriorRings() |
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{ |
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if ($this->isEmpty()) { |
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return 0; |
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} |
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return $this->numGeometries() - 1; |
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} |
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public function interiorRingN($n) |
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{ |
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return $this->geometryN($n + 1); |
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} |
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public function isSimple() |
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{ |
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if ($this->getGeos()) { |
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// @codeCoverageIgnoreStart |
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/** @noinspection PhpUndefinedMethodInspection */ |
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return $this->getGeos()->isSimple(); |
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// @codeCoverageIgnoreEnd |
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} |
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$segments = $this->explode(true); |
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//TODO: instead of this O(n^2) algorithm implement Shamos-Hoey Algorithm which is only O(n*log(n)) |
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foreach ($segments as $i => $segment) { |
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foreach ($segments as $j => $checkSegment) { |
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if ($i != $j) { |
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if (Geometry::segmentIntersects($segment[0], $segment[1], $checkSegment[0], $checkSegment[1])) { |
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return false; |
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} |
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} |
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} |
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} |
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return true; |
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} |
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/** |
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* For a given point, determine whether it's bounded by the given polygon. |
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* Adapted from @source http://www.assemblysys.com/dataServices/php_pointinpolygon.php |
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* |
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* @see http://en.wikipedia.org/wiki/Point%5Fin%5Fpolygon |
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* |
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* @param Point $point |
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* @param boolean $pointOnBoundary - whether a boundary should be considered "in" or not |
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* @param boolean $pointOnVertex - whether a vertex should be considered "in" or not |
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* @return boolean |
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*/ |
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public function pointInPolygon($point, $pointOnBoundary = true, $pointOnVertex = true) |
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{ |
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$vertices = $this->getPoints(); |
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// Check if the point sits exactly on a vertex |
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if ($this->pointOnVertex($point, $vertices)) { |
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return $pointOnVertex ? true : false; |
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} |
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// Check if the point is inside the polygon or on the boundary |
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$intersections = 0; |
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$verticesCount = count($vertices); |
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for ($i = 1; $i < $verticesCount; $i++) { |
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$vertex1 = $vertices[$i - 1]; |
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$vertex2 = $vertices[$i]; |
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if ( |
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$vertex1->y() == $vertex2->y() |
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&& $vertex1->y() == $point->y() |
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&& $point->x() > min($vertex1->x(), $vertex2->x()) |
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&& $point->x() < max($vertex1->x(), $vertex2->x()) |
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) { |
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// Check if point is on an horizontal polygon boundary |
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return $pointOnBoundary ? true : false; |
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} |
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if ( |
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$point->y() > min($vertex1->y(), $vertex2->y()) |
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&& $point->y() <= max($vertex1->y(), $vertex2->y()) |
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&& $point->x() <= max($vertex1->x(), $vertex2->x()) |
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&& $vertex1->y() != $vertex2->y() |
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) { |
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$xinters = |
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($point->y() - $vertex1->y()) * ($vertex2->x() - $vertex1->x()) |
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/ ($vertex2->y() - $vertex1->y()) |
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+ $vertex1->x(); |
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if ($xinters == $point->x()) { |
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// Check if point is on the polygon boundary (other than horizontal) |
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return $pointOnBoundary ? true : false; |
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} |
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if ($vertex1->x() == $vertex2->x() || $point->x() <= $xinters) { |
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$intersections++; |
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} |
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} |
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} |
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// If the number of edges we passed through is even, then it's in the polygon. |
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if ($intersections % 2 != 0) { |
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return true; |
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} else { |
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return false; |
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} |
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} |
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309
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/** |
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* @param Point $point |
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311
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* @return bool |
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312
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*/ |
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public function pointOnVertex($point) |
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314
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{ |
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foreach ($this->getPoints() as $vertex) { |
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316
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if ($point->equals($vertex)) { |
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return true; |
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} |
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} |
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return false; |
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} |
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323
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/** |
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324
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* Checks whether the given geometry is spatially inside the Polygon |
|
325
|
|
|
* TODO: rewrite this. Currently supports point, linestring and polygon with only outer ring |
|
326
|
|
|
* @param Geometry $geometry |
|
327
|
|
|
* @return bool |
|
328
|
|
|
*/ |
|
329
|
|
|
public function contains(Geometry $geometry) |
|
330
|
|
|
{ |
|
331
|
|
|
if ($this->getGeos()) { |
|
332
|
|
|
// @codeCoverageIgnoreStart |
|
333
|
|
|
/** @noinspection PhpUndefinedMethodInspection */ |
|
334
|
|
|
return $this->getGeos()->contains($geometry->getGeos()); |
|
335
|
|
|
// @codeCoverageIgnoreEnd |
|
336
|
|
|
} |
|
337
|
|
|
|
|
338
|
|
|
$isInside = false; |
|
339
|
|
|
foreach ($geometry->getPoints() as $p) { |
|
340
|
|
|
if ($this->pointInPolygon($p)) { |
|
341
|
|
|
$isInside = true; // at least one point of the innerPoly is inside the outerPoly |
|
342
|
|
|
break; |
|
343
|
|
|
} |
|
344
|
|
|
} |
|
345
|
|
|
if (!$isInside) { |
|
346
|
|
|
return false; |
|
347
|
|
|
} |
|
348
|
|
|
|
|
349
|
|
|
if ($geometry->geometryType() == Geometry::LINE_STRING) { |
|
350
|
|
|
} elseif ($geometry->geometryType() == Geometry::POLYGON) { |
|
351
|
|
|
$geometry = $geometry->exteriorRing(); |
|
352
|
|
|
} else { |
|
353
|
|
|
return false; |
|
354
|
|
|
} |
|
355
|
|
|
|
|
356
|
|
|
foreach ($geometry->explode(true) as $innerEdge) { |
|
357
|
|
|
foreach ($this->exteriorRing()->explode(true) as $outerEdge) { |
|
358
|
|
|
if (Geometry::segmentIntersects($innerEdge[0], $innerEdge[1], $outerEdge[0], $outerEdge[1])) { |
|
359
|
|
|
return false; |
|
360
|
|
|
} |
|
361
|
|
|
} |
|
362
|
|
|
} |
|
363
|
|
|
|
|
364
|
|
|
return true; |
|
365
|
|
|
} |
|
366
|
|
|
|
|
367
|
|
|
public function getBBox() |
|
368
|
|
|
{ |
|
369
|
|
|
return $this->exteriorRing()->getBBox(); |
|
370
|
|
|
} |
|
371
|
|
|
|
|
372
|
|
|
public function boundary() |
|
373
|
|
|
{ |
|
374
|
|
|
// TODO: Implement boundary() method. |
|
375
|
|
|
throw new UnsupportedMethodException(__METHOD__); |
|
376
|
|
|
} |
|
377
|
|
|
} |
|
378
|
|
|
|
When comparing two booleans, it is generally considered safer to use the strict comparison operator.