measure: top/bottom/amplitude read the flat levels, not the extremes
A bench scope separates Vtop/Vbase from Vmax/Vmin because a band-limited edge overshoots and rings: the mock's `square` at 30 harmonics reaches ±1.179 where its plateau is ±1. On the rippled square the old readings were a property of the edges rather than of the waveform -- `top` 0.986496, `amplitude` 1.179350 -- and `amplitude` reported the overshoot. `top`, `bottom` and `amplitude` are now the flat levels and their delta. A flat level is a density question -- the plateau holds most of the samples and the ringing a few percent -- so `measure_scan_buckets()` folds a 64-bin histogram of the whole buckets' midpoints while it has the list in hand (one observation per bucket, each bin carrying its buckets' exact sum and finite count), and `measure_flat_levels()` takes, either side of the split, the densest bin holding at least half the densest one's buckets -- the outermost of those, which is what makes a waveform with no plateau read its peak -- and the exact mean of the samples of the buckets within 5 % of the window's peak-to-peak of it. 5 % is deliberately under the ~9 %-of-swing Gibbs overshoot. `amplitude` is `top - bottom` (a scope's Vamplitude), not the half-swing it was. Measured, fast mock, 2 s window, harmonics 0 -> 30: top 1.000000 -> 0.999983, bottom -1.000000 -> -0.999983, amplitude 2.000000 -> 1.999966, while `peak to peak` keeps the extremes (2.000000 -> 2.358701). On the 1 Hz sine top is 0.957988 (it was 0.636620, the half-wave mean; a sine has no plateau, so the densest band is at its peak) with sd 0.0014 over a scrolling window, and `peak to peak` is still exactly 2. No raw pass and no new fetch: the histogram is the same fetched bucket list read a second time, gated on a pane that holds one of the three types. `raw` is unchanged (0.1% clean, 2.1% with the --noise 0.1 interferer, against 0.1%/2.1% before) for 0.44 -> 0.50 ms and 0.52 -> 0.65 ms a pass. A window the pyramid cannot summarize -- an hf-filtered walk, or one shorter than a bucket -- keeps the old readings: the mean of each side of the split, and the window's peak to peak for amplitude. Docs: the flat-level invariant (and the two 2/pi assertions it replaces), the probe readings, the manual's measurements page and the README.
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@@ -506,6 +506,10 @@ struct App {
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std::vector<MeasureLevel> level; ///< one accumulator per entry of `pct`
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MeasureFilter scan_filter; ///< pass one's state
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MeasureFilter acc_filter; ///< pass two's; a separate walk, so a separate state
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/// Some measurement on this window reads a flat level, so pass one folds the bucket
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/// histogram the flat-level types are answered from. Only then: a pane of means and extremes
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/// should not pay for a density estimate it never reads.
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bool flat_wanted = false;
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bool ok = false;
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};
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std::vector<MeasureWindow> measure_samples;
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