Python Pandas - Check if an interval set as open is empty

To check if an interval set as open is empty, use the interval.is_empty property. An open interval does not contain its endpoints, and when the left and right endpoints are equal, the interval becomes empty.

Understanding Open Intervals

An open interval (denoted by parentheses) excludes its endpoints. For example, the open interval (0, 5) includes all numbers between 0 and 5, but not 0 or 5 themselves ?

import pandas as pd

# Create an open interval with equal endpoints
interval = pd.Interval(0, 0, closed='neither')
print("Interval:", interval)
print("Interval length:", interval.length)
print("Is interval empty?", interval.is_empty)

Interval: (0, 0)
Interval length: 0
Is interval empty? True

Comparing Different Interval Types

Let's compare how the same endpoints behave with different closure types ?

import pandas as pd

# Different closure types with same endpoints
open_interval = pd.Interval(0, 0, closed='neither')
closed_interval = pd.Interval(0, 0, closed='both')
left_closed = pd.Interval(0, 0, closed='left')
right_closed = pd.Interval(0, 0, closed='right')

print("Open interval (0, 0):", open_interval.is_empty)
print("Closed interval [0, 0]:", closed_interval.is_empty)
print("Left-closed interval [0, 0):", left_closed.is_empty)
print("Right-closed interval (0, 0]:", right_closed.is_empty)

Open interval (0, 0): True
Closed interval [0, 0]: False
Left-closed interval [0, 0): False
Right-closed interval (0, 0]: False

Non-Empty Open Intervals

Open intervals with different endpoints are not empty ?

import pandas as pd

# Open interval with different endpoints
interval = pd.Interval(1, 5, closed='neither')
print("Interval:", interval)
print("Is interval empty?", interval.is_empty)
print("Interval length:", interval.length)

Interval: (1, 5)
Is interval empty? False
Interval length: 4

Key Points

Conclusion

Use the is_empty property to check if an interval contains no points. Open intervals with equal endpoints are always empty since they exclude both boundaries.