Are there any specific PHP libraries or resources recommended for handling complex time interval comparisons, such as identifying overlapping periods in a database setting?

When dealing with complex time interval comparisons, one recommended PHP library is Carbon, which provides a fluent interface for working with dates and times. By using Carbon, you can easily compare date ranges, identify overlapping periods, and perform various date calculations. Additionally, leveraging SQL queries with functions like `BETWEEN` or `OVERLAPS` can help handle such comparisons efficiently in a database setting.

use Carbon\Carbon;

// Example of comparing two date ranges for overlap
$startDate1 = Carbon::parse('2022-01-01');
$endDate1 = Carbon::parse('2022-01-10');
$startDate2 = Carbon::parse('2022-01-05');
$endDate2 = Carbon::parse('2022-01-15');

if ($startDate1 <= $endDate2 && $startDate2 <= $endDate1) {
    echo 'Date ranges overlap';
} else {
    echo 'Date ranges do not overlap';
}