calgebra 0.1.0

A tiny DSL for calendar interval algebra - compose, filter, and query time ranges using set operations.

calgebra 🗓️

A tiny DSL for merging and searching over calendar-like intervals.

Installation

pip install calgebra

# Or with Google Calendar support
pip install calgebra[google-calendar]

Quick Start

from datetime import datetime, timezone
from calgebra import day_of_week, time_of_day, hours, HOUR

# Compose time windows from primitives
weekdays = day_of_week(["monday", "tuesday", "wednesday", "thursday", "friday"])
work_hours = time_of_day(start=9*HOUR, duration=8*HOUR, tz="US/Pacific")
business_hours = weekdays & work_hours

# Union: combine busy times (in practice: from Google Calendar, databases, etc.)
monday_meetings = day_of_week("monday") & time_of_day(start=10*HOUR, duration=2*HOUR)
friday_focus = day_of_week("friday") & time_of_day(start=14*HOUR, duration=3*HOUR)
busy = monday_meetings | friday_focus

# Difference: find free time during business hours
free = business_hours - busy

# Filter: only slots >= 2 hours
long_slots = free & (hours >= 2)

# Fetch results with slice notation (supports int, datetime, or date)
start = datetime(2025, 1, 1, tzinfo=timezone.utc)
end = datetime(2025, 1, 31, tzinfo=timezone.utc)
meeting_options = list(long_slots[start:end])

Intervals in calgebra are inclusive of both start and end—durations therefore reflect every second covered by an interval. Timeline slices accept integer seconds (Unix timestamps), timezone-aware datetime objects, or date objects. When you subclass Interval, define your subclass as a dataclass (ideally frozen=True) so the algebra can clone and clamp events internally.

Common helpers and aggregates are exposed alongside the core DSL:

Recurring Patterns (RFC 5545 via python-dateutil):

• recurring(freq, ...) generates intervals based on recurrence rules (weekly, bi-weekly, monthly, etc.)
• day_of_week(days, tz) convenience wrapper for filtering by day(s) of week
• time_of_day(start, duration, tz) convenience wrapper for daily time windows
• HOUR, MINUTE, DAY, SECOND constants for readable time specifications
• Compose with & to create complex patterns like business hours, recurring meetings, etc.

Aggregation & Analysis:

• flatten(timeline) converts overlapping/adjacent spans into a coalesced timeline (returns mask Intervals and must be sliced with explicit bounds)
• union(*timelines) / intersection(*timelines) offer functional set operations
• total_duration sums inclusive coverage inside a window
• max_duration / min_duration find the longest or shortest clamped intervals
• count_intervals tallies events over a slice
• coverage_ratio reports utilization as a 0–1 fraction

Transformations:

• buffer(timeline, before, after) adds buffer time around each interval (useful for travel time, setup/teardown)
• merge_within(timeline, gap) coalesces intervals separated by at most gap seconds (useful for grouping related events)

Integrations:

• calgebra.gcsa.Calendar provides Google Calendar integration with timezone normalization and automatic paging; it assumes locally stored OAuth credentials

→ Read the full tutorial for a complete guide to the DSL
→ API Reference for detailed function signatures and parameters

Status

calgebra is in beta (v0.1.0). The core API is stable and ready for use. Feedback and contributions are welcome!

License

MIT License - see LICENSE file for details.