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<?php |
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/** |
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* LineString. A collection of Points representing a line. |
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* A line can have more than one segment. |
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*/ |
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class LineString extends Collection |
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{ |
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protected $geom_type = 'LineString'; |
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/** |
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* Constructor |
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* |
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* @param array $points An array of at least two points with |
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* which to build the LineString |
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*/ |
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public function __construct($points = array()) { |
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if (count($points) == 1) { |
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throw new Exception("Cannot construct a LineString with a single point"); |
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} |
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// Call the Collection constructor to build the LineString |
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parent::__construct($points); |
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} |
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// The boundary of a linestring is itself |
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public function boundary() { |
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return $this; |
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} |
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public function startPoint() { |
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return $this->pointN(1); |
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} |
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public function endPoint() { |
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$last_n = $this->numPoints(); |
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return $this->pointN($last_n); |
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} |
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public function isClosed() { |
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return ($this->startPoint()->equals($this->endPoint())); |
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} |
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public function isRing() { |
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return ($this->isClosed() && $this->isSimple()); |
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} |
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public function numPoints() { |
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return $this->numGeometries(); |
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} |
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public function pointN($n) { |
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return $this->geometryN($n); |
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} |
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public function dimension() { |
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if ($this->isEmpty()) return 0; |
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return 1; |
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} |
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public function area() { |
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return 0; |
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} |
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public function length() { |
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if ($this->geos()) { |
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return $this->geos()->length(); |
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} |
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$length = 0; |
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foreach ($this->getPoints() as $delta => $point) { |
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$previous_point = $this->geometryN($delta); |
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if ($previous_point) { |
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$length += sqrt(pow(($previous_point->getX() - $point->getX()), 2) + pow(($previous_point->getY()- $point->getY()), 2)); |
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} |
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} |
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return $length; |
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} |
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public function greatCircleLength($radius = 6378137) { |
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$length = 0; |
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$points = $this->getPoints(); |
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for($i=0; $i<$this->numPoints()-1; $i++) { |
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$point = $points[$i]; |
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$next_point = $points[$i+1]; |
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if (!is_object($next_point)) {continue;} |
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// Great circle method |
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$lat1 = deg2rad($point->getY()); |
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$lat2 = deg2rad($next_point->getY()); |
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$lon1 = deg2rad($point->getX()); |
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$lon2 = deg2rad($next_point->getX()); |
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$dlon = $lon2 - $lon1; |
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$length += |
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$radius * |
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atan2( |
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sqrt( |
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pow(cos($lat2) * sin($dlon), 2) + |
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pow(cos($lat1) * sin($lat2) - sin($lat1) * cos($lat2) * cos($dlon), 2) |
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) |
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, |
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sin($lat1) * sin($lat2) + |
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cos($lat1) * cos($lat2) * cos($dlon) |
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); |
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} |
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// Returns length in meters. |
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return $length; |
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} |
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public function haversineLength() { |
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$degrees = 0; |
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$points = $this->getPoints(); |
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for($i=0; $i<$this->numPoints()-1; $i++) { |
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$point = $points[$i]; |
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$next_point = $points[$i+1]; |
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if (!is_object($next_point)) {continue;} |
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$degree = rad2deg( |
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acos( |
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sin(deg2rad($point->getY())) * sin(deg2rad($next_point->getY())) + |
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cos(deg2rad($point->getY())) * cos(deg2rad($next_point->getY())) * |
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cos(deg2rad(abs($point->getX() - $next_point->getX()))) |
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) |
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); |
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$degrees += $degree; |
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} |
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// Returns degrees |
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return $degrees; |
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} |
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public function explode() { |
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$parts = array(); |
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$points = $this->getPoints(); |
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foreach ($points as $i => $point) { |
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if (isset($points[$i+1])) { |
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$parts[] = new LineString(array($point, $points[$i+1])); |
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} |
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} |
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return $parts; |
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} |
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public function isSimple() { |
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if ($this->geos()) { |
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return $this->geos()->isSimple(); |
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} |
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$segments = $this->explode(); |
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foreach ($segments as $i => $segment) { |
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foreach ($segments as $j => $check_segment) { |
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if ($i != $j) { |
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if ($segment->lineSegmentIntersect($check_segment)) { |
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return FALSE; |
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} |
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} |
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} |
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} |
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return TRUE; |
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} |
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// Utility function to check if any line sigments intersect |
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// Derived from http://stackoverflow.com/questions/563198/how-do-you-detect-where-two-line-segments-intersect |
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public function lineSegmentIntersect($segment) { |
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$p0_x = $this->startPoint()->x(); |
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$p0_y = $this->startPoint()->y(); |
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$p1_x = $this->endPoint()->x(); |
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$p1_y = $this->endPoint()->y(); |
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$p2_x = $segment->startPoint()->x(); |
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$p2_y = $segment->startPoint()->y(); |
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$p3_x = $segment->endPoint()->x(); |
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$p3_y = $segment->endPoint()->y(); |
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$s1_x = $p1_x - $p0_x; $s1_y = $p1_y - $p0_y; |
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$s2_x = $p3_x - $p2_x; $s2_y = $p3_y - $p2_y; |
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$fps = (-$s2_x * $s1_y) + ($s1_x * $s2_y); |
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$fpt = (-$s2_x * $s1_y) + ($s1_x * $s2_y); |
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if ($fps == 0 || $fpt == 0) { |
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return FALSE; |
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} |
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$s = (-$s1_y * ($p0_x - $p2_x) + $s1_x * ($p0_y - $p2_y)) / $fps; |
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$t = ( $s2_x * ($p0_y - $p2_y) - $s2_y * ($p0_x - $p2_x)) / $fpt; |
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if ($s > 0 && $s < 1 && $t > 0 && $t < 1) { |
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// Collision detected |
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return TRUE; |
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} |
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return FALSE; |
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} |
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} |
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