Zocam

AI SLOP — an AI agent wrote this page. yuri4n, a senior engineer, gave the direction and did the review. The review is human, thus errors can stay.

Zocam is a draft Elixir library of composable time. It has two layers:

• Zocam.Intervals is the linear kernel: an algebra of intervals on the real timeline (union, intersection, complement, diff).
• The temporal-things model is the calendar layer. Zocam.Point builds calendar values such as "May", "the 23rd", or "a Wednesday at 15:00". Zocam.Span builds sets of instants over points: arcs, unions, intersections, complements, steps, and ordinals. Span.ground/3 maps a set to concrete intervals in a timezone.

flowchart LR
  P["Zocam.Point<br/>one calendar thing<br/>(May · the 23rd · 15:00)"]
  S["Zocam.Span<br/>sets of instants<br/>(arcs · steps · nth · algebra)"]
  I["Zocam.Intervals<br/>concrete intervals<br/>on the timeline"]
  P -- "Span.of/1 · arc!/1" --> S
  S -- "ground/3 (timezone, DST)" --> I

Figure 1 — The two layers and the one crossing point: a span meets the real timeline only in ground/3. AI generated, human reviewed.

The calendar layer answers two questions with ONE denotation function, so they can never disagree:

• Span.member?(span, datetime) — is this instant in the set?
• Span.ground(span, horizon, timezone) — which concrete intervals does the set cover inside this horizon? On a DST fall-back day one wall window grounds to two intervals; a wall time inside a spring-forward gap grounds to none.

Status

Zocam is implemented: every public function has a body, and the test suite is fully green with no backlog. The API can still change — the library is young. The code grows test-first (TDD): the tests state the semantics, and the code follows them.

The s7r app in the parent directory consumes this library as a path dependency: {:zocam, path: "zocam"}.

Use

• Run the tests: mix test
• Build the documentation: mix docs

Design records

The ADRs in docs/ record the design choices:

• ADR-001 — the refinement-chain model for calendar points.
• ADR-002 — sets first: the Span algebra.
• ADR-003 — overflow policy: clamp by default, skip on request.
• ADR-004 — fortnights as every-k scopes.
• ADR-005 — one shared denotation function, and DST.
• ADR-006 — the time layer as the zocam library.