pointOnVertex = $pointOnVertex; // Transform string coordinates into arrays with x and y values $point = $this->pointStringToCoordinates($point); $vertices = array(); foreach ($polygon as $vertex) { $vertices[] = $this->pointStringToCoordinates($vertex); } // Check if the point sits exactly on a vertex if ($this->pointOnVertex == true and $this->pointOnVertex($point, $vertices) == true) { return "vertex"; } // Check if the point is inside the polygon or on the boundary $intersections = 0; $vertices_count = count($vertices); for ($i = 1; $i < $vertices_count; $i++) { $vertex1 = $vertices[$i - 1]; $vertex2 = $vertices[$i]; if ($vertex1['y'] == $vertex2['y'] and $vertex1['y'] == $point['y'] and $point['x'] > min( $vertex1['x'], $vertex2['x'] ) and $point['x'] < max( $vertex1['x'], $vertex2['x'] )) { // Check if point is on an horizontal polygon boundary return "boundary"; } if ($point['y'] > min($vertex1['y'], $vertex2['y']) and $point['y'] <= max( $vertex1['y'], $vertex2['y'] ) and $point['x'] <= max($vertex1['x'], $vertex2['x']) and $vertex1['y'] != $vertex2['y']) { $xinters = ($point['y'] - $vertex1['y']) * ($vertex2['x'] - $vertex1['x']) / ($vertex2['y'] - $vertex1['y']) + $vertex1['x']; if ($xinters == $point['x']) { // Check if point is on the polygon boundary (other than horizontal) return "boundary"; } if ($vertex1['x'] == $vertex2['x'] || $point['x'] <= $xinters) { $intersections++; } } } // If the number of edges we passed through is odd, then it's in the polygon. if ($intersections % 2 != 0) { return "inside"; } else { return "outside"; } } function pointOnVertex($point, $vertices) { foreach ($vertices as $vertex) { if ($point == $vertex) { return true; } } } function pointStringToCoordinates($pointString) { $coordinates = explode(" ", $pointString); return array("x" => $coordinates[0], "y" => $coordinates[1]); } }