How to Check for Overlapping Intervals
20 hours ago
- #programming
- #overlap-detection
- #intervals
- Intervals represent a range between two points and can be continuous or discrete.
- Common interval notations include closed [start, end] and half-open [start, end).
- Examples of intervals include time ranges, numeric ranges, date ranges, and temperature ranges.
- In programming, intervals are often represented using integers, with non-empty intervals being a common requirement.
- Detecting interval overlaps can be complex, but checking for the absence of overlap is simpler.
- Four cases of interval overlap include partial overlaps and complete containment.
- Simplifying overlap checks involves focusing on endpoints and using Boolean logic.
- Negation simplifies overlap detection by checking non-overlapping cases first.
- Two-dimensional intervals (boxes) extend the concept to horizontal and vertical dimensions.
- Overlap checks for boxes involve ensuring overlap in both dimensions, similar to one-dimensional intervals.
- Using negation and De Morgan's laws can simplify complex overlap conditions.