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How to Determine if a Point Lies Inside a Polygon Using PHP?

Mary-Kate Olsen
Mary-Kate OlsenOriginal
2024-10-25 01:07:02291browse

How to Determine if a Point Lies Inside a Polygon Using PHP?

Finding Points Within a Polygon Using PHP

Determining whether a point lies inside a polygon can be a common task in geometric calculations. Here's how to achieve this in PHP:

We begin with a polygon represented as an array of vertices with latitude and longitude coordinates. Additionally, we have a point with similar coordinates that we want to check if it lies within the polygon.

To perform this check, we utilize a function originally written in another language and converted to PHP:

<code class="php">$isInside = is_in_polygon(
    count($vertices_x) - 1,
    $vertices_x,
    $vertices_y,
    $longitude_x,
    $latitude_y
);</code>

The is_in_polygon function implements the following algorithm:

<code class="php">function is_in_polygon($points_polygon, $vertices_x, $vertices_y, $longitude_x, $latitude_y)
{
    $i = $j = $c = 0;
    for ($i = 0, $j = $points_polygon ; $i < $points_polygon; $j = $i++) {
        if ( (($vertices_y[$i]  >  $latitude_y != ($vertices_y[$j] > $latitude_y)) &amp;&amp;
         ($longitude_x < ($vertices_x[$j] - $vertices_x[$i]) * ($latitude_y - $vertices_y[$i]) / ($vertices_y[$j] - $vertices_y[$i]) + $vertices_x[$i]) ) )
           $c = !$c;
    }
    return $c;
}</code>

If the $isInside variable is set to true, the point lies within the polygon; otherwise, it lies outside.

Additional Resources:

For further polygon-related functions, consider using the polygon.php class. Initialize it with your polygon vertices and call the isInside function with your test point to obtain another solution to the problem.

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