feat(stdlib): Time/Date/Duration calendar-clock core (issue #9)
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Implement the calendar/clock half of #9 as plain-i32 integer epochs — no new type, no floating point (the issue's "integer epochs to avoid drift") — so every operation is deterministic and bit-identical on every platform: Duration — a span in whole seconds; seconds/minutes/hours/days build one, as_seconds/as_minutes/as_hours/as_days read it back. Because a duration is just an int, `+` and `>` work with no extra machinery (Duration.minutes(5) + Duration.seconds(30), away > Duration.hours(3)). Date — a civil day as days-since-1970 (UTC): new/year/month/day/weekday/ is_leap/days_in_month/to_epoch/add_days/diff_days. DateTime — an instant as seconds-since-1970 (UTC, matching Time.now): from/date/add/year/month/day/weekday/hour/minute/second. Time.since(past) = now - past, for offline-progress / "time away" checks. New selfhost/emit_datetime.ludic (is_/emit_ for the three namespaces, wired into emit_ns_call + the frag list). The two civil<->epoch conversions are Howard Hinnant's public-domain proleptic-Gregorian algorithms, emitted once per program as the @fn_days_from_civil / @fn_civil_from_days prelude and gated by g_uses_datert; days_in_month is next-month-day-0 (no lookup table). Time gains `since`. Docs (Duration/Date/DateTime sections, 28 method pages + time-since), inventory, and LSP hover kept in sync; a registered test checks component math against hand-computed values. Reseeded; C-free fixpoint holds; all suites green (26 self-host / 45 regression / 29 tools); check.py, check-impl.py and validate.py OK. format/parse, a game-controlled simulated clock, and timezones are tracked follow-ups; v1 is UTC-only and, on the i32 epoch, valid through 2038. Co-Authored-By: Claude Opus 4.8 <noreply@anthropic.com>
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docs/language/datetime/datetime-second.md
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docs/language/datetime/datetime-second.md
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---
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id: datetime-second
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name: DateTime.second
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category: datetime
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kind: namespace-method
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tokens: DateTime.second
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sig: DateTime.second(dt) -> int
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tip: The second of the minute (0-59) of an instant.
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order: 9
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ns: DateTime
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member: second
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---
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The second within the minute of the instant <code>dt</code> (UTC), <code>0</code>–<code>59</code>.
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```ludic
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program Demo {
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handler Step phase Update {
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let s = DateTime.second(DateTime.from(2000, 1, 1, 12, 30, 15)) # 15
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}
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}
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```
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