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<?php |
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namespace geoPHP\Geometry; |
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use geoPHP\geoPHP; |
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/** |
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* A LineString is defined by a sequence of points, (X,Y) pairs, which define the reference points of the line string. |
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* Linear interpolation between the reference points defines the resulting linestring. |
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* |
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* @method Point[] getComponents() |
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* @property Point[] $components |
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*/ |
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class LineString extends Curve |
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{ |
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/** |
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* @return string "LineString" |
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*/ |
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public function geometryType(): string |
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{ |
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return Geometry::LINESTRING; |
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} |
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/** |
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* @param array<array> $array |
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* @return LineString |
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*/ |
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public static function fromArray(array $array): LineString |
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{ |
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$points = []; |
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foreach ($array as $point) { |
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$points[] = Point::fromArray($point); |
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} |
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return new LineString($points); |
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} |
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/** |
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* Returns the number of points of the LineString |
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* |
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* @return int |
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*/ |
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public function numPoints(): int |
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{ |
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return count($this->components); |
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} |
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/** |
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* Returns the 1-based Nth point of the LineString. |
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* Negative values are counted backwards from the end of the LineString. |
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* |
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* @param int $n Nth point of the LineString |
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* @return Point|null |
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*/ |
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public function pointN(int $n) |
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{ |
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$n = $n < $this->numPoints() ? $n : $this->numPoints(); |
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/** @var Point|null $point */ |
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$point = $n >= 0 |
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? $this->geometryN($n) |
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: $this->geometryN(count($this->components) - (int) abs($n + 1)); |
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return $point; |
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} |
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/** |
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* @return Point |
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*/ |
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public function getCentroid(): Point |
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{ |
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if ($this->isEmpty()) { |
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return new Point(); |
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} |
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$geosObj = $this->getGeos(); |
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if (is_object($geosObj)) { |
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// @codeCoverageIgnoreStart |
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/** @noinspection PhpUndefinedMethodInspection */ |
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/** @var Point|null $geometry */ |
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$geometry = geoPHP::geosToGeometry($geosObj->centroid()); |
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return $geometry !== null ? $geometry : new Point(); |
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// @codeCoverageIgnoreEnd |
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} |
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$x = 0; |
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$y = 0; |
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$length = 0.0; |
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$points = $this->getPoints(); |
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$numPoints = count($points) - 1; |
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for ($i = 0; $i < $numPoints; ++$i) { |
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$currX = $points[$i]->getX(); |
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$currY = $points[$i]->getY(); |
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$nextX = $points[$i + 1]->getX(); |
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$nextY = $points[$i + 1]->getY(); |
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$dx = $nextX - $currX; |
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$dy = $nextY - $currY; |
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$segmentLength = sqrt($dx * $dx + $dy * $dy); |
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$length += $segmentLength; |
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$x += ($currX + $nextX) / 2 * $segmentLength; |
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$y += ($currY + $nextY) / 2 * $segmentLength; |
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} |
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return $length === 0.0 ? $this->startPoint() : new Point($x / $length, $y / $length); |
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} |
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/** |
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* Returns the length of this Curve in its associated spatial reference. |
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* E.g. if Geometry is in geographical coordinate system it returns the length in degrees. |
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* |
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* @return float |
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*/ |
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public function getLength(): float |
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{ |
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$geosObj = $this->getGeos(); |
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if (is_object($geosObj)) { |
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// @codeCoverageIgnoreStart |
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/** @noinspection PhpUndefinedMethodInspection */ |
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return $geosObj->length(); |
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// @codeCoverageIgnoreEnd |
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} |
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$length = 0.0; |
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$points = $this->getPoints(); |
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$numPoints = count($points) - 1; |
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for ($i = 0; $i<$numPoints; ++$i) { |
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$length += sqrt( |
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pow(($points[$i]->getX() - $points[$i + 1]->getX()), 2) + |
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pow(($points[$i]->getY() - $points[$i + 1]->getY()), 2) |
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); |
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} |
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return $length; |
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} |
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/** |
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* Returns the length of a 3-dimensional geometry. |
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* |
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* @return float |
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*/ |
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public function length3D(): float |
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{ |
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$length = 0.0; |
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$previousPoint = null; |
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foreach ($this->getPoints() as $point) { |
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if ($previousPoint) { |
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$length += sqrt( |
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pow(($previousPoint->getX() - $point->getX()), 2) + |
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pow(($previousPoint->getY() - $point->getY()), 2) + |
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pow(($previousPoint->getZ() - $point->getZ()), 2) |
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); |
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} |
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/** @var Point $previousPoint */ |
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$previousPoint = $point; |
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} |
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return $length; |
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} |
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/** |
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* @param float|int $radius Default is the semi-major axis of WGS84. |
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* @return float length in meters |
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*/ |
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public function greatCircleLength($radius = geoPHP::EARTH_WGS84_SEMI_MAJOR_AXIS): float |
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{ |
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$length = 0.0; |
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$rad = M_PI / 180; |
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$points = $this->getPoints(); |
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$numPoints = $this->numPoints() - 1; |
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for ($i = 0; $i < $numPoints; ++$i) { |
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// Simplified Vincenty formula with equal major and minor axes (a sphere) |
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$lat1 = $points[$i]->getY() * $rad; |
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$lat2 = $points[$i + 1]->getY() * $rad; |
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$lon1 = $points[$i]->getX() * $rad; |
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$lon2 = $points[$i + 1]->getX() * $rad; |
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$deltaLon = $lon2 - $lon1; |
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$d = $radius * |
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atan2( |
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sqrt( |
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pow(cos($lat2) * sin($deltaLon), 2) + |
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pow(cos($lat1) * sin($lat2) - sin($lat1) * cos($lat2) * cos($deltaLon), 2) |
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), |
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sin($lat1) * sin($lat2) + |
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cos($lat1) * cos($lat2) * cos($deltaLon) |
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); |
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if ($points[$i]->is3D()) { |
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$d = sqrt( |
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pow($d, 2) + |
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pow($points[$i + 1]->getZ() - $points[$i]->getZ(), 2) |
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); |
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} |
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$length += $d; |
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} |
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return $length; |
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} |
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/** |
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* @return float Haversine length of geometry in degrees |
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*/ |
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public function haversineLength(): float |
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{ |
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$distance = 0.0; |
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$points = $this->getPoints(); |
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$numPoints = $this->numPoints() - 1; |
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for ($i = 0; $i < $numPoints; ++$i) { |
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$point = $points[$i]; |
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$nextPoint = $points[$i + 1]; |
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$degree = (geoPHP::EARTH_WGS84_SEMI_MAJOR_AXIS * |
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acos( |
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sin(deg2rad($point->getY() ?? 0)) * sin(deg2rad($nextPoint->getY() ?? 0)) + |
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cos(deg2rad($point->getY() ?? 0)) * cos(deg2rad($nextPoint->getY() ?? 0)) * |
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cos(deg2rad(abs($point->getX() - $nextPoint->getX()))) |
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) |
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); |
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if (!is_nan($degree)) { |
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$distance += $degree; |
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} |
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} |
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return $distance; |
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} |
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/** |
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* @source https://github.com/mjaschen/phpgeo/blob/master/src/Location/Distance/Vincenty.php |
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* @author Marcus Jaschen <[email protected]> |
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* @license https://opensource.org/licenses/GPL-3.0 GPL |
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* (note: geoPHP uses "GPL version 2 (or later)" license which is compatible with GPLv3) |
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* |
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* @return float Length in meters |
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*/ |
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public function vincentyLength(): float |
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{ |
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$length = 0.0; |
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$rad = M_PI / 180; |
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$points = $this->getPoints(); |
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$numPoints = count($points) - 1; |
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for ($i = 0; $i < $numPoints; ++$i) { |
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// Inverse Vincenty formula |
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$lat1 = $points[$i]->getY() * $rad; |
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$lat2 = $points[$i + 1]->getY() * $rad; |
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$lng1 = $points[$i]->getX() * $rad; |
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$lng2 = $points[$i + 1]->getX() * $rad; |
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$a = geoPHP::EARTH_WGS84_SEMI_MAJOR_AXIS; |
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$b = geoPHP::EARTH_WGS84_SEMI_MINOR_AXIS; |
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$f = 1 / geoPHP::EARTH_WGS84_FLATTENING; |
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$L = $lng2 - $lng1; |
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$U1 = atan((1 - $f) * tan($lat1)); |
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$U2 = atan((1 - $f) * tan($lat2)); |
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$iterationLimit = 100; |
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$lambda = $L; |
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$sinU1 = sin($U1); |
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$sinU2 = sin($U2); |
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$cosU1 = cos($U1); |
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$cosU2 = cos($U2); |
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do { |
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$sinLambda = sin($lambda); |
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$cosLambda = cos($lambda); |
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$sinSigma = sqrt( |
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($cosU2 * $sinLambda) * |
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($cosU2 * $sinLambda) + |
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($cosU1 * $sinU2 - $sinU1 * $cosU2 * $cosLambda) * |
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($cosU1 * $sinU2 - $sinU1 * $cosU2 * $cosLambda) |
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); |
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if ($sinSigma == 0) { |
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return 0.0; |
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} |
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$cosSigma = $sinU1 * $sinU2 + $cosU1 * $cosU2 * $cosLambda; |
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$sigma = atan2($sinSigma, $cosSigma); |
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$sinAlpha = $cosU1 * $cosU2 * $sinLambda / $sinSigma; |
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$cosSqAlpha = 1 - $sinAlpha * $sinAlpha; |
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$cos2SigmaM = 0; |
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if ($cosSqAlpha <> 0) { |
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$cos2SigmaM = $cosSigma - 2 * $sinU1 * $sinU2 / $cosSqAlpha; |
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} |
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$C = $f / 16 * $cosSqAlpha * (4 + $f * (4 - 3 * $cosSqAlpha)); |
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$lambdaP = $lambda; |
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$lambda = $L + (1 - $C) * $f * $sinAlpha * |
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($sigma + $C * $sinSigma * ($cos2SigmaM + $C * $cosSigma * (- 1 + 2 * $cos2SigmaM * $cos2SigmaM))); |
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} while (abs($lambda - $lambdaP) > 1e-12 && --$iterationLimit > 0); |
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if ($iterationLimit == 0) { |
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return 0.0; // not converging |
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} |
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$uSq = $cosSqAlpha * ($a * $a - $b * $b) / ($b * $b); |
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$A = 1 + $uSq / 16384 * (4096 + $uSq * (- 768 + $uSq * (320 - 175 * $uSq))); |
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$B = $uSq / 1024 * (256 + $uSq * (- 128 + $uSq * (74 - 47 * $uSq))); |
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$deltaSigma = $B * $sinSigma * ($cos2SigmaM + $B / 4 * |
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($cosSigma * (-1 + 2 * $cos2SigmaM * $cos2SigmaM) - $B / 6 |
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* $cos2SigmaM * (-3 + 4 * $sinSigma * $sinSigma) |
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* (-3 + 4 * $cos2SigmaM * $cos2SigmaM))); |
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$length += $b * $A * ($sigma - $deltaSigma); |
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} |
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// Returns length in meters. |
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return $length; |
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} |
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/** |
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* @return int|float|null |
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*/ |
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public function minimumZ() |
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{ |
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$min = PHP_INT_MAX; |
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foreach ($this->getPoints() as $point) { |
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if (null !== ($z = $point->getZ()) && $z < $min) { |
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$min = $z; |
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} |
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} |
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return $min !== PHP_INT_MAX ? $min : null; |
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} |
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/** |
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* @return int|float|null |
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*/ |
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public function maximumZ() |
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{ |
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$max = PHP_INT_MIN; |
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foreach ($this->getPoints() as $point) { |
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if (null !== ($z = $point->getZ()) && $z > $max) { |
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$max = $z; |
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} |
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} |
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return $max !== PHP_INT_MIN ? $max : null; |
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} |
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/** |
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* @return int|float|null |
330
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*/ |
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public function zDifference() |
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{ |
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$startPt = $this->startPoint(); |
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$endPt = $this->endPoint(); |
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if ($startPt->hasZ() && $endPt->hasZ()) { |
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return abs($startPt->getZ() - $endPt->getZ()); |
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} |
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return null; |
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} |
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343
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/** |
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* Returns the cumulative elevation gain of the LineString |
345
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* |
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* @param int|float|null $verticalTolerance Smoothing factor filtering noisy elevation data. |
347
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* Its unit equals to the z-coordinates unit (meters for geographical coordinates) |
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* If the elevation data comes from a DEM, a value around 3.5 can be acceptable. |
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* |
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* @return float |
351
|
|
|
*/ |
352
|
|
|
public function elevationGain($verticalTolerance = 0) |
353
|
|
|
{ |
354
|
|
|
$gain = 0.0; |
355
|
|
|
$lastEle = $this->startPoint()->getZ(); |
356
|
|
|
$numPoints = $this->numPoints(); |
357
|
|
|
|
358
|
|
|
foreach ($this->getPoints() as $i => $point) { |
359
|
|
|
if (abs($point->getZ() - $lastEle) > $verticalTolerance || $i === $numPoints - 1) { |
360
|
|
|
if ($point->getZ() > $lastEle) { |
361
|
|
|
$gain += $point->getZ() - $lastEle; |
362
|
|
|
} |
363
|
|
|
$lastEle = $point->getZ(); |
364
|
|
|
} |
365
|
|
|
} |
366
|
|
|
|
367
|
|
|
return $gain; |
368
|
|
|
} |
369
|
|
|
|
370
|
|
|
/** |
371
|
|
|
* Returns the cumulative elevation loss of the LineString |
372
|
|
|
* |
373
|
|
|
* @param int|float|null $verticalTolerance Smoothing factor filtering noisy elevation data. |
374
|
|
|
* Its unit equals to the z-coordinates unit (meters for geographical coordinates) |
375
|
|
|
* If the elevation data comes from a DEM, a value around 3.5 can be acceptable. |
376
|
|
|
* |
377
|
|
|
* @return float |
378
|
|
|
*/ |
379
|
|
|
public function elevationLoss($verticalTolerance = 0) |
380
|
|
|
{ |
381
|
|
|
$loss = 0.0; |
382
|
|
|
$lastEle = $this->startPoint()->getZ(); |
383
|
|
|
$numPoints = $this->numPoints(); |
384
|
|
|
|
385
|
|
|
foreach ($this->getPoints() as $i => $point) { |
386
|
|
|
if (abs($point->getZ() - $lastEle) > $verticalTolerance || $i === $numPoints - 1) { |
387
|
|
|
if ($point->getZ() < $lastEle) { |
388
|
|
|
$loss += $lastEle - $point->getZ(); |
389
|
|
|
} |
390
|
|
|
$lastEle = $point->getZ(); |
391
|
|
|
} |
392
|
|
|
} |
393
|
|
|
|
394
|
|
|
return $loss; |
395
|
|
|
} |
396
|
|
|
|
397
|
|
|
public function minimumM() |
398
|
|
|
{ |
399
|
|
|
$min = PHP_INT_MAX; |
400
|
|
|
foreach ($this->getPoints() as $point) { |
401
|
|
|
if ($point->isMeasured() && $point->m() < $min) { |
402
|
|
|
$min = $point->m(); |
403
|
|
|
} |
404
|
|
|
} |
405
|
|
|
return $min !== PHP_INT_MAX ? $min : null; |
406
|
|
|
} |
407
|
|
|
|
408
|
|
|
public function maximumM() |
409
|
|
|
{ |
410
|
|
|
$max = PHP_INT_MIN; |
411
|
|
|
foreach ($this->getPoints() as $point) { |
412
|
|
|
if ($point->isMeasured() && $point->m() > $max) { |
413
|
|
|
$max = $point->m(); |
414
|
|
|
} |
415
|
|
|
} |
416
|
|
|
|
417
|
|
|
return $max !== PHP_INT_MIN ? $max : null; |
418
|
|
|
} |
419
|
|
|
|
420
|
|
|
/** |
421
|
|
|
* Get all line segments |
422
|
|
|
* |
423
|
|
|
* @param bool $toArray return segments as LineString or array of start and end points. |
424
|
|
|
* @return LineString[]|Point[][] |
425
|
|
|
*/ |
426
|
|
|
public function explode(bool $toArray = false): array |
427
|
|
|
{ |
428
|
|
|
$points = $this->getPoints(); |
429
|
|
|
$numPoints = count($points); |
430
|
|
|
if ($numPoints < 2) { |
431
|
|
|
return []; |
432
|
|
|
} |
433
|
|
|
$parts = []; |
434
|
|
|
for ($i = 1; $i < $numPoints; ++$i) { |
435
|
|
|
$segment = [$points[$i - 1], $points[$i]]; |
436
|
|
|
$parts[] = $toArray ? $segment : new LineString($segment); |
437
|
|
|
} |
438
|
|
|
return $parts; |
439
|
|
|
} |
440
|
|
|
|
441
|
|
|
/** |
442
|
|
|
* Checks that LineString is a Simple Geometry |
443
|
|
|
* |
444
|
|
|
* @return bool |
445
|
|
|
*/ |
446
|
|
|
public function isSimple(): bool |
447
|
|
|
{ |
448
|
|
|
$geosObj = $this->getGeos(); |
449
|
|
|
if (is_object($geosObj)) { |
450
|
|
|
// @codeCoverageIgnoreStart |
451
|
|
|
/** @noinspection PhpUndefinedMethodInspection */ |
452
|
|
|
return $geosObj->isSimple(); |
453
|
|
|
// @codeCoverageIgnoreEnd |
454
|
|
|
} |
455
|
|
|
|
456
|
|
|
$segments = $this->explode(true); |
457
|
|
|
/** @var Point[][] $segments */ |
458
|
|
|
foreach ($segments as $i => $segment) { |
459
|
|
|
foreach ($segments as $j => $checkSegment) { |
460
|
|
|
if ($i != $j) { |
461
|
|
|
if (Geometry::segmentIntersects($segment[0], $segment[1], $checkSegment[0], $checkSegment[1])) { |
462
|
|
|
return false; |
463
|
|
|
} |
464
|
|
|
} |
465
|
|
|
} |
466
|
|
|
} |
467
|
|
|
|
468
|
|
|
return true; |
469
|
|
|
} |
470
|
|
|
|
471
|
|
|
/** |
472
|
|
|
* @return bool |
473
|
|
|
*/ |
474
|
|
|
public function isValid(): bool |
475
|
|
|
{ |
476
|
|
|
$geosObj = $this->getGeos(); |
477
|
|
|
if (is_object($geosObj)) { |
478
|
|
|
/** @noinspection PhpUndefinedMethodInspection */ |
479
|
|
|
return $geosObj->checkValidity()['valid']; |
480
|
|
|
} |
481
|
|
|
|
482
|
|
|
// there should only be unique points but there have to be at least 2 of them |
483
|
|
|
$pts = []; |
484
|
|
|
foreach ($this->components as $pt) { |
485
|
|
|
if ($pt->isEmpty()) { |
486
|
|
|
continue; |
487
|
|
|
} |
488
|
|
|
$pts[] = $pt->asText(); |
489
|
|
|
} |
490
|
|
|
if (count(array_unique($pts)) < 2) { |
491
|
|
|
return false; |
492
|
|
|
} |
493
|
|
|
|
494
|
|
|
return $this->isSimple(); |
495
|
|
|
} |
496
|
|
|
|
497
|
|
|
/** |
498
|
|
|
* @param LineString $segment |
499
|
|
|
* @return bool |
500
|
|
|
*/ |
501
|
|
|
public function lineSegmentIntersect($segment): bool |
502
|
|
|
{ |
503
|
|
|
return Geometry::segmentIntersects( |
504
|
|
|
$this->startPoint() ?? new Point(), |
505
|
|
|
$this->endPoint() ?? new Point(), |
506
|
|
|
$segment->startPoint() ?? new Point(), |
507
|
|
|
$segment->endPoint() ?? new Point() |
508
|
|
|
); |
509
|
|
|
} |
510
|
|
|
|
511
|
|
|
/** |
512
|
|
|
* @param Geometry|Collection $geometry |
513
|
|
|
* @return float|null |
514
|
|
|
*/ |
515
|
|
|
public function distance(Geometry $geometry) |
516
|
|
|
{ |
517
|
|
|
$geosObj = $this->getGeos(); |
518
|
|
|
if (is_object($geosObj)) { |
519
|
|
|
// @codeCoverageIgnoreStart |
520
|
|
|
/** @noinspection PhpUndefinedMethodInspection */ |
521
|
|
|
$geosObj2 = $geometry->getGeos(); |
522
|
|
|
return $geosObj2 !== false ? $geosObj->distance($geosObj2) : null; |
|
|
|
|
523
|
|
|
// @codeCoverageIgnoreEnd |
524
|
|
|
} |
525
|
|
|
|
526
|
|
|
if ($geometry->geometryType() === Geometry::POINT) { |
527
|
|
|
// This is defined in the Point class nicely |
528
|
|
|
return $geometry->distance($this); |
529
|
|
|
} |
530
|
|
|
|
531
|
|
|
if ($geometry->geometryType() === Geometry::LINESTRING) { |
532
|
|
|
/** @var LineString $geometry */ |
533
|
|
|
return $this->distanceToLinestring($geometry); |
534
|
|
|
} |
535
|
|
|
|
536
|
|
|
// It can be treated as a collection |
537
|
|
|
return parent::distance($geometry); |
538
|
|
|
} |
539
|
|
|
|
540
|
|
|
/** |
541
|
|
|
* @param LineString $geometry |
542
|
|
|
* @return float |
543
|
|
|
*/ |
544
|
|
|
private function distanceToLinestring(LineString $geometry): float |
545
|
|
|
{ |
546
|
|
|
$distance = PHP_INT_MAX; |
547
|
|
|
$geometrySegments = $geometry->explode(); |
548
|
|
|
|
549
|
|
|
/** @var LineString $seg1 */ |
550
|
|
|
foreach ($this->explode() as $seg1) { |
551
|
|
|
/** @var LineString $seg2 */ |
552
|
|
|
foreach ($geometrySegments as $seg2) { |
553
|
|
|
if ($seg1->lineSegmentIntersect($seg2)) { |
554
|
|
|
return 0.0; |
555
|
|
|
} |
556
|
|
|
// Because line-segments are straight, the shortest distance will occur at an endpoint. |
557
|
|
|
// If they are parallel, an endpoint calculation is still accurate. |
558
|
|
|
$distance = min( |
559
|
|
|
$distance, |
560
|
|
|
$seg1->startPoint()->distance($seg2), |
561
|
|
|
$seg1->endPoint()->distance($seg2), |
562
|
|
|
$seg2->startPoint()->distance($seg1), |
563
|
|
|
$seg2->endPoint()->distance($seg1) |
564
|
|
|
); |
565
|
|
|
|
566
|
|
|
if ($distance === 0.0) { |
567
|
|
|
return 0.0; |
568
|
|
|
} |
569
|
|
|
} |
570
|
|
|
} |
571
|
|
|
return (float) $distance; |
572
|
|
|
} |
573
|
|
|
} |
574
|
|
|
|