Question

What is the best way to find out whether two number ranges intersect?

My number range is 3023-7430, now I want to test which of the following number ranges intersect with it: <3000, 3000-6000, 6000-8000, 8000-10000, >10000. The answer should be 3000-6000 and 6000-8000.

What’s the nice, efficient mathematical way to do this in any programming language?

Answer 1

Just a pseudo code guess:

Set<Range> determineIntersectedRanges(Range range, Set<Range> setofRangesToTest) {   Set<Range> results;   foreach (rangeToTest in setofRangesToTest)   do     if (rangeToTest.end <range.start) continue; // skip this one, its below our range     if (rangeToTest.start >range.end) continue; // skip this one, its above our range     results.add(rangeToTest);   done   return results; }