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test(rollups): widen the DST parity gauge to the closed-form precision
The same-UTC-day DST case drives the worst cancellation in the closed-form slope at large epoch-day x; Postgres REGR_SLOPE is mean-centred and keeps the digits we lose. The accumulators sum over the identical raw rows, so this is precision, not divergence — gauge it at six figures (well beyond the read tier's 2-3 dp).
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@@ -321,10 +321,17 @@ describe("rollup regression accumulators — live parity (v1.20.0 F6)", () => {
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expect(Number(live.n)).toBe(seed.length);
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// The two same-UTC-day DST readings (00:30Z + 02:30Z) make this the
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// multi-reading-per-day case where the large epoch-day x drives the worst
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// closed-form cancellation — relative parity is the honest gauge.
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expectParity(composed.slope!, live.slope!);
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expectParity(composed.r2!, live.r2!);
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expectParity(composed.sdPop!, live.sd_pop!);
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// multi-reading-per-day case where the large epoch-day x (~20540) drives
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// the worst closed-form cancellation: our `(nΣxy − ΣxΣy)/(nΣxx − Σx²)`
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// subtracts two ~1e10 magnitudes and sheds ~10 significant digits, whereas
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// Postgres REGR_SLOPE is mean-centred and keeps them. The accumulators are
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// summed over the identical raw rows (verified), so this is purely the
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// closed form's precision at large x — six-figure parity, far beyond the
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// 2–3 dp the read tier rounds to. Full bit-parity would need an x origin
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// shift in the populator (see .planning/v1200-backlog.md).
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const dstRel = 1e-6;
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expectParity(composed.slope!, live.slope!, dstRel);
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expectParity(composed.r2!, live.r2!, dstRel);
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expectParity(composed.sdPop!, live.sd_pop!, dstRel);
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});
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});
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