diff --git a/README.md b/README.md
index 98281d7..6b8578c 100644
--- a/README.md
+++ b/README.md
@@ -232,18 +232,47 @@ measurement.
| type | what it is | options | shown on the plot as |
|---|---|---|---|
| `average` | the mean of the visible samples | — | a ruler at the mean |
-| `top` / `bottom` | the high / low level: the mean of the samples above / below the split | split % | a ruler at the level |
+| `top` / `bottom` | the high / low **flat** level: the densest band of the window on that side of the split | split % (which side) | a ruler at the level |
| `max` / `min` | the extremes | — | a ruler at the value **and** a marker where it happened |
+| `peak to peak` | the swing, `max - min` — the extremes, ripple and overshoot included | — | a ruler at each extreme |
+| `amplitude` | the two flat levels' delta, `top - bottom` | — | a ruler at each flat level |
| `pulse duration` | the mean width of the pulse-side runs | split %, which side is the pulse | markers at the pulse's two edges |
| `period` / `frequency` | the spacing of the threshold crossings / its reciprocal, in Hz | — | markers at two edges of a cycle |
+**`top`/`bottom`/`amplitude` read a *flat* level, and that is a different question from the
+extremes.** A band-limited edge does not step, it overshoots and rings: the mock's `square` at 30
+harmonics reaches **±1.179** where its plateau is ±1, so anything that reads the window's extremes
+reports the ringing — `amplitude` used to read `1.179350` there and `top` `0.986496`, both of them
+a property of the edges rather than of the waveform. A flat level is a *density* question instead:
+the plateau holds most of the samples and the ringing a few percent. Pass one folds a 64-bin
+histogram of the whole buckets' midpoints while it has them in hand, and the level is, either side
+of the split, the densest bin that still holds half the densest one's buckets — **the outermost of
+those**, which is what makes a waveform with no plateau at all (a sine, a ramp) read its *peak*
+rather than an arbitrary mid-range bin — with the exact mean of the samples of the buckets within
+**5 % of the window's peak-to-peak** of it. Five per cent is deliberately under the ~9 %-of-swing
+Gibbs overshoot, so the ringing falls outside the band and a plateau's own ripple stays inside.
+`amplitude` is then that pair's delta, which is a bench scope's `Vamplitude` (`Vtop - Vbase`) and
+**not** the half-swing it used to be. Measured on the mock, harmonics `0` → `30`: `top`
+`1.000000` → `0.999983`, `bottom` `-1.000000` → `-0.999983`, `amplitude` `2.000000` → `1.999966`,
+while `peak to peak` goes `2.000000` → `2.358701`. On the probe's 1 Hz ±1 sine `top` reads
+`0.957988` — it used to be `0.636620`, the half-wave mean, and a sine's flat level is near its
+peak instead — with `sd 0.0014` across recomputes, and `amplitude` `1.915983`; `peak to peak` is
+still exactly `2`. The histogram is the *same* fetched bucket list read a second time and never a
+sample, so `measure cost:`'s `raw` does not move; a pane with none of the three types does not pay
+for it at all. Where the pyramid cannot summarize the window — an `hf`-filtered walk, or one
+shorter than a bucket — there is no density estimate, and the types fall back to the old
+behaviour: the mean of each side of the split, and `max - min` for `amplitude`.
+
`period` and `frequency` deliberately take **no options**: the engine counts *rising*
crossings of the *mid* level, one edge per cycle, and a split or a side to choose from could
only make that count wrong — a split near either extreme leaves the hysteresis band below no room
to reject noise with, and counting both edges halves the period.
The split is a share of the **window's own** min..max, not volts: a measurement is about this
-signal in this window, and a level in volts would have to be typed for every signal.
+signal in this window, and a level in volts would have to be typed for every signal. For
+`top`/`bottom` it says **which side** the level is read from, so any split between the two
+plateaus reads the same number — it is no longer a mean *over* the side, which is the reading a
+ringing edge used to drag.
Two more options ride on it, both at their old behaviour by default:
@@ -283,9 +312,9 @@ and to white noise at σ=0.05; at 5 % of peak-to-peak it already fails at 0.2.
Three things about it are deliberate, and each was wrong first.
- **The band moves the edge decision only.** The side the `sum`/`count` split uses stays the bare
- level, because that split *is* `top` and `bottom` — the mean of the samples above and below the
- threshold — and a band there changes a documented exact reading. `top` on a unit sine must still
- be `0.636620`, 2/π.
+ level, and nothing that band touches is the flat level: a band there would change what a crossing
+ counts as an edge for no gain to anything, and the split's two means are now only the fallback
+ `top`/`bottom` take on a window with no bucket histogram.
- **The band is clamped to stay inside the data**, to half the room between the level and the
nearer extreme. `pulse duration` lets the user put the split near an extreme (a 3.3 V logic
signal with ringing wants it nearer the top), and a fixed tenth of the span there puts the upper
@@ -353,7 +382,8 @@ Both walks go through it:
and one raw scan of that bucket alone then pins it to a sample — two buckets at most, whatever
the window's size. The two stamps the scan needed are read at the end rather than at every
chunk that moved an extreme, since a stamp is a ring read and an extreme moves many times.
-- **Pass two** (the threshold types: `top`, `bottom`, `pulse duration`, `period`, `frequency`)
+- **Pass two** (the crossing types — `pulse duration`, `period`, `frequency` — and, as a fallback
+ for a window with no histogram, `top`/`bottom`)
folds a bucket's sums whenever it lies *strictly* on one side of its level — then every sample
in it falls in the same bin and none is *at* the level, so the fold is exact. It then asks
separately whether the bucket *enters* a side of the hysteresis band: one wholly past a threshold
@@ -364,11 +394,14 @@ Both walks go through it:
The raw path is still there and still exact, for the window's partial edge buckets, for the
samples produced since this frame's `acquire_all()` (bounded by one frame of production), and
for those opened buckets. Nothing is decimated or strided: `peak to peak` still reads
-exactly `2` on a unit sine and `top` exactly `0.636620` — 2/π, the half-wave mean, which is the
-check that a threshold type is not merely plausible. A window shorter than a bucket, or a signal
+exactly `2` on a unit sine, and the shared pass that carries it is untouched — `top` has no
+*exact* reading to protect any more, because it is a flat level read from a density rather than
+the half-wave mean it used to be (`0.636620` on a unit sine; it is `0.957988` now, near the peak,
+because a sine has no plateau). A window shorter than a bucket, or a signal
noisy enough to cross a threshold everywhere, degrades back towards the O(window) cost and nothing
else changes. The dump's `measure cost:` line reports `covered`, `buckets` and `raw` for exactly
-this: `raw` near `covered` means the pyramid bought nothing.
+this: `raw` near `covered` means the pyramid bought nothing — and `raw` is unchanged by the flat
+levels, which read the *same* bucket list a second time and never a sample.
### What the math channels cost
@@ -1528,11 +1561,15 @@ a relative tolerance (clamping to *exactly* `window_s_` can leave the group's sp
and a clamp that fires every frame is a re-frame loop — the dump counts it as `clamp fires:`), and
the sample-window walk it does is unchanged.
-**Amplitude and peak to peak** are the two new types: `max - min`, and half of it. Deliberately
-`(max - min) / 2` rather than `max(|value|)` — the latter is a distance from zero, which for a
-signal riding on an offset is a different and less useful number. Both come out of the shared
-pass, so they are free, and both read exactly what a unit sine should: `amplitude=1`,
-`peak to peak=2`.
+**Amplitude and peak to peak** were the two types added then: `max - min`, and half of it.
+Deliberately `(max - min) / 2` rather than `max(|value|)` — the latter is a distance from zero,
+which for a signal riding on an offset is a different and less useful number. Both came out of the
+shared pass, so they were free, and both read exactly what a unit sine should: `amplitude=1`,
+`peak to peak=2`. **`amplitude` no longer means that.** It is `top - bottom`, the delta between the
+two *flat* levels — a bench scope's `Vamplitude` — and it is the extremes that stay with
+`peak to peak`, which is why it reads `2.000000` on the rippled square where the swing is
+`2.358701`: a ringing edge's overshoot belongs to the swing and not to the amplitude (see
+*Measurements*).
The second is subtler and needs a saturated ring. A `ChannelBuffer` sample is a (value,
stamp) pair split across two rings of equal capacity, and the published window is pinned
diff --git a/docs/claude/invariants-measurements.md b/docs/claude/invariants-measurements.md
index a1c0b0b..9358f82 100644
--- a/docs/claude/invariants-measurements.md
+++ b/docs/claude/invariants-measurements.md
@@ -16,9 +16,10 @@ Part of [CLAUDE.md](../../CLAUDE.md). These are rules that cost a defect to lear
frame; the window is materialized in bounded chunks (never two whole-window f32 temporaries)
and the loop holds it **by reference** (copying both vectors per measurement was 300 MB of
memcpy a frame); and `measure_stats()` is one shared pass carrying both extremes with their
- first positions, the sum and the count, so average/min/max/peak-to-peak/amplitude need no
- pass of their own. **Adding a type must not add a pass** -- that is what `compute_measure()`'s
- `stats` argument is for.
+ first positions, the sum and the count, so average/min/max/peak-to-peak need no pass of their
+ own -- `top`/`bottom`/`amplitude` take a second read of that same **bucket** list and never of
+ the window (the flat-level invariant below). **Adding a type must not add a pass** -- that is
+ what `compute_measure()`'s `stats` argument is for.
The marks' *ink* is set where they are created (`install()` in `plot_host.cpp`): 0.75 px and
dashed 4/4 through `Plot::set_cursor_stroke()`, which is per cursor because the trigger marker
(also a cursor) keeps the solid `line_width_px` stroke. A new measure mark must take that
@@ -57,10 +58,18 @@ Part of [CLAUDE.md](../../CLAUDE.md). These are rules that cost a defect to lear
*finite* sample of the new side and an aggregate cannot say which that is); the caller then opens
that bucket. **Nothing may be folded before a refusal** -- a refused bucket goes to
`measure_accumulate()`, which adds the same samples again, and sums added above the `return false`
- double-counted every opened bucket, reading `top=0.614304` on a unit sine against the 2/pi it must
- be. Four things this rests on, each of which breaks it silently:
+ double-counted every opened bucket. That read as `top=0.614304` on a unit sine against the 2/pi a
+ mean over a half then gave; a *bucketed* window no longer reports `top` from those sums at all
+ (see the flat-level invariant below), which makes the rule easier to break silently rather than
+ less binding -- the sums are the fallback a window with no histogram reads, so a wrong one is a
+ wrong answer waiting for that window. Four things this rests on, each of which breaks it silently:
* **Exactness is the point, so nothing may stride or decimate.** `peak to peak` must still read
- exactly `2` on a unit sine and `top` exactly `0.636620` (2/pi). A bucket's sum is a sum.
+ exactly `2` on a unit sine, and it and `average` still come straight out of the one shared
+ `measure_stats()` pass. A bucket's sum is a sum. (`top` has no *exact* reading to protect any
+ more: it is a density estimate and not a mean, and the two places that used to assert
+ `top == 0.636620` on a sine now assert what the flat level actually reads -- see the flat-level
+ invariant below. Everything above is about the *bucket* path being a fast path and not an
+ approximation, and that is unchanged.)
* **The bucket index space must be the window's.** `ChannelBuffer::acquire()` calls
`pyramid_.drop_before(values_->base())`, so a channel's pyramid is in the value ring's
absolute index space -- the same space `live_window_locked()` answers in, since a channel's
@@ -76,9 +85,65 @@ Part of [CLAUDE.md](../../CLAUDE.md). These are rules that cost a defect to lear
the pyramid for nothing.
`measure cost:`'s `covered`/`buckets`/`raw` is the guard, and it needs the fast mock to say
anything.
+- **`Top`/`Bottom`/`Amplitude` read a *flat* level, and the density that finds it is the buckets',
+ not the samples'.** A band-limited edge overshoots and rings -- the mock's `square` at 30
+ harmonics reaches ±1.179 where its plateau is ±1 -- so a measurement that reads the extremes, or
+ a mean over a side of a level, reports the ringing rather than the level the signal dwells at:
+ that is what made this change (`amplitude` read `1.179350` and `top` `0.986496` on the rippled
+ square, against `1.179350` of overshoot where the plateau is `1`). 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 that
+ holds at least half the densest one's buckets, **the outermost of those**, and the exact mean of
+ the samples of the buckets within **5 % of the window's peak-to-peak** of it. 5 % is *under* the
+ ~9 %-of-swing Gibbs overshoot, so the ringing's excursion falls outside the band while a
+ plateau's own ripple stays inside it; the outermost-of-the-equally-dense rule is what makes a
+ waveform with *no* plateau -- a sine, a ramp -- read its peak instead of an arbitrary mid-range
+ bin that a shifted window would move. `Amplitude` is then `top - bottom`, a bench scope's
+ `Vamplitude`, and **not** the half-swing it used to be, nor the peak-to-peak swing.
+ The readings, fast mock, 2 s window, `[measure-trace]`, harmonics `0` → `30`: `top` `1.000000` →
+ `0.999983`, `bottom` `-1.000000` → `-0.999983`, `amplitude` `2.000000` → `1.999966`, against
+ `peak to peak` `2.000000` → `2.358701` -- the extremes keep the overshoot, and that separation
+ *is* the measurement. On the probe's 1 Hz ±1 sine: `top` `0.957988` (it was `0.636620`, the
+ half-wave mean), `amplitude` `1.915983`, and `peak to peak` still **exactly `2`**; `[stats-probe]`
+ reads `top` `mean=0.957905 sd=0.0014 lo=0.951967 hi=0.962348` over a scrolling window, which is
+ the stability the value band buys -- the answer does not follow the window's alignment.
+ Five things this rests on, each of which breaks something silently:
+ * **Nothing may be read raw for it.** The histogram is the *same* fetched bucket list, walked a
+ second time inside `measure_scan_buckets()`; a histogram of the window's *samples* would be a
+ second O(window) walk, which is exactly what the pyramid path exists to avoid. `measure cost:`
+ is the guard and its `raw` does not move: the probe's pane reads
+ `covered=59684972 buckets=932446 raw=47640 (0.1%)` against the baseline's
+ `covered=61183221 buckets=955856 raw=47402 (0.1%)` -- the same `raw`, 0.44 → 0.50 ms a pass
+ (and `--noise 0.1`, `2.1%` both sides, 0.52 → 0.65 ms).
+ * **It is gated, and the gate is what keeps an unrelated pane free.** `measure_scan_buckets()`'s
+ `flat_hist` comes from `App::MeasureWindow::flat_wanted`, set by the first loop over the pane
+ and only for one of the three types. A pane of means and extremes pays nothing.
+ * **The bin range is the *buckets'*, not the window's.** The window's partial edge buckets and the
+ samples produced since `acquire_all()` are read raw and are not in the list, so
+ `measure_scan_buckets()` tracks its own `blo`/`bhi` over the **non-empty** buckets only -- an
+ all-non-finite bucket is an empty aggregate whose `lo`/`hi` say nothing, and taking them would
+ put a bucket at some arbitrary value. A degenerate range (`bhi == blo`) leaves `folded` at 0,
+ which is the caller's "no histogram at all".
+ * **The *window's* peak-to-peak is what the band is a share of**, and the *split* is sized exactly
+ as `measure_set_level()` sizes a level, so "the top" and "the level a period is counted about"
+ are placed by one rule. The band is a *value* band, which is why the reading does not move when
+ the window does.
+ * **The fallback is the split, and it is what a filtered or sub-bucket window reads.** `hf_fc > 0`
+ disables the pyramid (above) and a window shorter than a bucket has no bucket to fold, so
+ `top`/`bottom` fall back to the mean of each side of the split -- and `amplitude` to the
+ window's own peak to peak, which is the same number on a waveform with nothing to exclude.
+ There is no flat level in that mode to subtract, so `amplitude == top - bottom` is *not* an
+ invariant to lean on there. Measured on the rippled `square` at `hf_fc=100`:
+ `top=0.973824 bottom=-0.991731 amplitude=2.354173 peak to peak=2.354173`, `buckets=0
+ raw=200.0%` -- two raw walks and no density estimate, which is the honest reading of a window
+ the pyramid cannot summarize.
- **`MeasureOptions::noise_pct` is a percentage, clamped in `measure_set_level()` to half the room to the
nearer extreme**, so a band can never invert its own thresholds. It moves the **edge decision only**: the
- sums still split at the bare level, because `Top` on a unit sine must read 2/pi (0.636620).
+ sums still split at the bare level, which is the *fallback* `Top`/`Bottom` read on a window with no
+ bucket histogram -- a band that moved that split would change what a filtered or sub-bucket window
+ reports, for no gain to a crossing count.
- **`measure_accumulate` loops samples outer, levels inner, and that is not backwards.** The filter holds one
state for the whole walk, so levels-outer would step it once per level *per sample* and hand every level but
the last a different filter state.
@@ -105,9 +170,12 @@ Part of [CLAUDE.md](../../CLAUDE.md). These are rules that cost a defect to lear
decides that side and the measurement reads nothing at all, which is worse than reading
something noisy. On a ringing 3.3 V logic signal at a 90 % split: `enters=0` with a fixed band,
`enters=4 period=0.200000` with the clamp.
- * **The `sum`/`count` split stays at the bare `level`.** That split *is* `Top`/`Bottom` -- the mean
- above and below the threshold -- so a band there changes a documented exact reading. `top` on a
- unit sine must still be `0.636620`.
+ * **The `sum`/`count` split stays at the bare `level`.** Two things read it and neither may be
+ moved by a band: a crossing's *side* is decided by the sample's own value against the level
+ (`v == level` is the below side, as it always was), and `Top`/`Bottom` fall back to the mean of
+ each side on a window with no bucket histogram. The band is about *deciding a crossing*, not
+ about where a sample lives, so folding it in would change a filtered window's `top` for no gain
+ to any crossing count.
* **`h = 0` must reduce exactly to the single-level walk**, including the `v == level` skip, so the
band is a parameter of the engine rather than a mode of it.
The cost is the noise's, not the band's: the clean fast mock reads `raw=119412 (0.1%)` of 215 M at
diff --git a/docs/claude/probe-readings.md b/docs/claude/probe-readings.md
index a4f4bca..1b8a4d8 100644
--- a/docs/claude/probe-readings.md
+++ b/docs/claude/probe-readings.md
@@ -218,19 +218,32 @@ Two lines of the self-check output are assertions in disguise:
pane_h=H switch_on=X reset_sensitive=Y`
(stderr, `UDPSCOPE_PROBE_MEASURES_MS`) — adds one measurement of every type on the first
plottable signal and lets the tick compute them, so what it prints is what a user reads.
- On the test stream's 1 Hz ±1 sine the values must be: average ≈ 0, `top` ≈ 0.64 and
- `bottom` ≈ -0.64 (the mean of each half of a sine), max/min ≈ ±1, `pulse duration` ≈ 0.5 s
- with `duty` ≈ 0.5, `period` ≈ 1 s and `frequency` ≈ 1 Hz. It needs **`UDPSCOPE_ENABLE_ALL_MS`
- ahead of it** or it prints `no acquired signal to measure` and the dump reads `n=0`.
+ On the test stream's 1 Hz ±1 sine the values must be: average ≈ 0, `top` ≈ 0.96 and
+ `bottom` ≈ -0.96, `amplitude` ≈ 1.92, max/min ≈ ±1, `peak to peak` **exactly 2**,
+ `pulse duration` ≈ 0.5 s
+ with `duty` ≈ 0.5, `period` ≈ 1 s and `frequency` ≈ 1 Hz. **`top` is no longer 2/π**, and that
+ is the point of it: it is the *flat* level of the upper side, read from the density of the
+ window rather than from a mean over a side, and a sine has no plateau — so the densest band
+ sits at its peak and the reading is near it, not the 0.636620 a mean over a half would give.
+ `amplitude` is that pair's delta (`top - bottom`), which is why it reads about 1.92 rather than
+ the half-swing it used to: a bench scope's `Vamplitude` is `Vtop - Vbase`. The measured
+ figures, and the reason they are what they are, are in
+ [invariants-measurements.md](invariants-measurements.md) — on the mock's `square` the
+ separation is the visible one (`top`/`bottom` `0.999983`/`-0.999983`, `amplitude` `1.999966`,
+ while `peak to peak` keeps the edges' ±1.179 overshoot at `2.358701`). It needs
+ **`UDPSCOPE_ENABLE_ALL_MS` ahead of it** or it prints `no acquired signal to measure` and the
+ dump reads `n=0`.
**Run it against `--noise 0.1 --freq 1` as well, and the three crossing types must still read
those figures** (measured: `period=1.000100 frequency=0.999900 pulse duration=0.504100`): the
hysteresis band is the only thing holding them there, a single level reads a 500 Hz interferer as
the signal, and the default `--noise 0` mock cannot see it. The band costs `raw`, not accuracy --
the clean fast mock reads `raw=0.1%` at 1.41 ms a recompute and the noisy one `raw=2.0%` at 1.96
ms, so read `measure cost:` on **both**. `marks=` lists each mark with its kind, and the **mix is the point**:
- `level:V` alone for average/top/bottom, `level:V,time:T` for min/max (a ruler at the value
+ `level:V` alone for average/top/bottom; **two** level marks for `peak to peak` (the window's
+ extremes) and for `amplitude` (the two *flat* levels it subtracts -- a pair of rulers, because
+ the span between them *is* the measurement); `level:V,time:T` for min/max (a ruler at the value
*and* a marker at the first sample that reached it — two level marks at both extremes was
- the bug), `time:A,time:B` for pulse/period/frequency. `text=` is the pane's own string with
+ the bug); `time:A,time:B` for pulse/period/frequency. `text=` is the pane's own string with
its unit, so `frequency` must read `Hz` (not the signal's unit), `period`/`pulse duration`
seconds, and the rest the channel's unit. `switch_on` and `reset_sensitive` are the panel's *frame* read back: the switch widget against
`measure_stats_on`, which the code drives, and the Reset button that follows it. Either disagreeing with
@@ -1000,18 +1013,26 @@ pane's recompute count since start) and one `| n=… mean=… sd=… lo=… hi=
measurement. Phase 1 adds `dn=` per group.
Measured readings (fast mock, 1 Hz sine, with
-`UDPSCOPE_ENABLE_ALL_MS=800 UDPSCOPE_PROBE_MEASURE_MS=1500 UDPSCOPE_PROBE_STATS_MS=2500`):
+`UDPSCOPE_ENABLE_ALL_MS=800 UDPSCOPE_PROBE_MEASURE_MS=1500 UDPSCOPE_PROBE_STATS_MS=2500`, the
+four measurements the measure probe adds -- average, top, peak to peak, amplitude):
```
-phase=0 on=1 passes=36 | n=30 mean=-0.0370313 sd=0.0953509 lo=-0.246367 hi=0.105167 | n=30 mean=0.633511 … | n=30 mean=1.99567 … hi=2 | n=30 mean=0.997834 … hi=1
-phase=1 … dn=0 (on all four measurements)
-phase=2 … n=1 mean=-4.84467e-14 | n=1 mean=0.63662 | n=1 mean=2 | n=1 mean=1
+phase=0 on=1 passes=43 | n=28 mean=0.0826556 sd=0.085427 lo=-0.0314722 hi=0.208469 | n=28 mean=0.957905 sd=0.00142833 lo=0.951967 hi=0.962348 | n=28 mean=2 sd=0 lo=2 hi=2 | n=28 mean=1.91652 sd=0.00300419 lo=1.90993 hi=1.92432
+phase=1 … dn=1 (on all four measurements)
+phase=2 … n=0 mean=0 sd=0 lo=0 hi=0 (all four)
```
- `phase=0` — the running count. **`n` must be in the low tens**, not thousands: a count in the
- thousands means the accumulator is fed per sample, not per recompute. `mean=0.633511` (≈ 2/π)
- for the `top` measurement on a unit sine is the check that the threshold types are correct, not
- merely plausible. `sd` must be 0 exactly when `n < 2`, and `lo`/`hi` must bracket `mean`.
+ thousands means the accumulator is fed per sample, not per recompute. `mean=2 sd=0 lo=2 hi=2` for
+ the `peak to peak` measurement on a unit sine is the assertion on the shared pass: the extremes of
+ a sine are exactly ±1 whatever the window does, so anything else is the scan, not the reading.
+ The two flat-level types are the other half and their figure is the **`sd`**, not the mean: `top`
+ reads `mean=0.957905 sd=0.00142833` and `amplitude` `mean=1.91652 sd=0.0030` over windows that
+ scroll under them, and a `top` that wanders by tenths is a level that follows the window's
+ alignment instead of a *value* band (see the flat-level invariant in
+ [invariants-measurements.md](invariants-measurements.md); the mean itself is window-dependent on a
+ sine, which has no plateau -- the densest band sits at its peak and moves with how much of the
+ peak a window holds). `sd` must be 0 exactly when `n < 2`, and `lo`/`hi` must bracket `mean`.
- `phase=1` — after a two-second pause. **`dn` must be 0 or 1**: a pinned window recomputes once
when it settles and then never again. A `dn` near 120 is the second defect — accumulating per
frame, which adds a hundred-odd observations of the identical window and collapses `sd` towards
diff --git a/docs/claude/verification.md b/docs/claude/verification.md
index ff029c6..ad9f5fc 100644
--- a/docs/claude/verification.md
+++ b/docs/claude/verification.md
@@ -84,8 +84,18 @@ precedent, not an exception.
collecting anything -- that is how the first baseline of the stall below read 0.4 ms).
The values are in the exit dump as `measurements: =`; on the fast mock
(`tools/mock_udpstreamer.py --rate 1300000 --batch 2000`) a unit sine must read
- `peak to peak=2`, `amplitude=1`, `average=0` and **`top=0.636620`** -- 2/pi, the half-wave
- mean of a sine, which is the check that the threshold types are not merely plausible.
+ `peak to peak=2` **exactly**, `average=0`, and the two flat-level types as their definition
+ says: **`top=0.957988`** and `amplitude=1.915983`. `top` is no longer 2/pi -- it is the *flat*
+ level of the upper side, read from the density of the window's buckets, and a sine has no
+ plateau so the densest band is at its peak; `amplitude` is `top - bottom` (a scope's
+ `Vamplitude`), not the half-swing it once was. The check that the flat levels are *levels* and
+ not extremes is the same probe against the mock's `square` (`--square-harmonics 30`, the
+ control being `0`): `top`/`bottom` `0.999983`/`-0.999983` rippled against `1.000000`/`-1.000000`
+ ideal, `amplitude` `1.999966` against `2.000000`, while `peak to peak` reads `2.358701` rippled
+ against `2.000000` ideal -- the ±1.179 edges'
+ overshoot, kept by the extremes and excluded by the levels. The per-type values, the reason for
+ each, and the cost of the histogram are in
+ [invariants-measurements.md](invariants-measurements.md).
`[measure-trace] view=[..] =... marks=N level:V/time:V...` is a repeating line
(250 ms) from the probe: the pane's numbers beside the *current* window and the marks actually
placed, which is the only way a stale result or a mark that should not be drawn shows up as a
@@ -106,7 +116,11 @@ precedent, not an exception.
(`tools/mock_udpstreamer.py --rate 1300000 --batch 2000`), where a window is ~2 M samples.
`--noise 0.1` there reads **2.0%** at 1.96 ms a recompute against the clean 0.1% at 1.41 ms, and
that is the interferer's own cost rather than a regression -- the figure to compare a change
- against is the **clean** one.
+ against is the **clean** one. `raw` is also the guard on the flat-level types, which are the one
+ thing that reads a second time: `top`/`bottom`/`amplitude` fold a histogram out of the **same**
+ fetched bucket list, so they add buckets and not samples (measured: `raw=0.1%` and `2.1%` with
+ the interferer, against `0.1%`/`2.1%` before those types had a flat level, for 0.44→0.50 ms and
+ 0.52→0.65 ms a pass -- the buckets are the budget).
Note the **final** `measurements:` line and `[measure-trace]`'s last lines may read `--`:
`UDPSCOPE_EXIT_AFTER_MS` arms the trigger before it dumps, so the dump can land in `Waiting`
with nothing bound and the axis at its default. The race-free reading is an earlier
diff --git a/help/C/org.udpscope.app/measurements.page b/help/C/org.udpscope.app/measurements.page
index f31b069..5ae36c9 100644
--- a/help/C/org.udpscope.app/measurements.page
+++ b/help/C/org.udpscope.app/measurements.page
@@ -36,12 +36,30 @@
Worth knowing
The types are average, top, bottom, min, max, peak to peak, amplitude, pulse
- duration, period and frequency. top and bottom are the means of the
- upper and lower halves, which is why a unit sine reads 0.637 (2/π) rather than 1.
+ duration, period and frequency. top and bottom are the waveform's
+ flat high and low levels: the level the signal dwells at, taken from the densest
+ band of the window on each side of the split. A band-limited edge overshoots and rings —
+ a nominal 2 V square reaches about ±1.18 at its edges — and a ripple or an overshoot is
+ therefore not what these read. amplitude is the delta between those two
+ levels, and peak to peak is the swing between the extremes (so on a rippled
+ square amplitude reads 2 V where peak to peak reads 2.36 V).
+ top and bottom also read near the peak on a
+ waveform that has no flat part, which is the honest reading rather than a failure: a unit
+ sine has no plateau, so the densest band is at its peak and these read about ±0.96 — not
+ the 0.64 a mean over each half would give, and not ±1 either. Only a level the signal
+ actually dwells at is a level.
+ The split says which side a level is read from, so any share between the
+ two levels reads the same number; it is not a boundary the value depends on. The one case
+ where it is read directly is a window the scope cannot summarize by level — a window
+ shorter than a level's own resolution, or one read through hf — where
+ top/bottom fall back to the mean of each side of the split and
+ amplitude to the window's peak to peak.
The on-plot marks come in two kinds and the mix is the reading: a level
mark is a ruler at a value, a time mark is a marker at a position. An average
draws one level mark; a max draws a level mark and a time mark at the first
- sample that reached it.
+ sample that reached it; peak to peak draws a ruler at each extreme and
+ amplitude a ruler at each of its two flat levels — the pair is the span, so
+ the two rulers are the measurement.
Marks cannot be dragged. A measurement mark says what the measurement measured,
so it is created unselectable — as is the trigger marker.
A pass is throttled to a cadence rather than run every frame, so a ruler over a
@@ -74,7 +92,10 @@
against the number (636.62m), since two decimals of an unprefixed small
value is 0.00.
Cost is bounded by reading the summary pyramid the producer already maintains,
- not the raw window. The values are still exact: a bucket's sum is a sum.
+ not the raw window: a bucket's sum is a sum, so the mean, the extremes and a level's own
+ mean are exact. top, bottom and amplitude read the
+ density of the window out of that same summary — which is what tells a flat level
+ from a ripple — so those three cost a second read of the summary and never of a sample.
Statistics adds a second line to every measurement showing
n, the mean, the standard deviation and the range. Each observation is one
recompute of the pane, so n counts windows measured, not samples —
@@ -87,11 +108,15 @@
Example
- On a 1 Hz ±1 sine: average=0, top=0.636620,
- bottom=-0.636620, max=1, min=-1,
- peak to peak=2, amplitude=1, pulse duration=0.5 s
- (duty 0.5), period=1 s, frequency=1 Hz. Over a 2 M-sample window
- those two passes read about 0.1% of the samples.
+ On a 1 Hz ±1 sine: average=0, top=0.957988,
+ bottom=-0.957988 (the flat levels, near the peaks — a sine has no plateau),
+ max=1, min=-1,
+ peak to peak=2, amplitude=1.915983, pulse duration=0.5 s
+ (duty 0.5), period=1 s, frequency=1 Hz. On the same stream's
+ band-limited square, whose edges ring out to ±1.179: top=0.999983,
+ bottom=-0.999983, amplitude=1.999966 against
+ peak to peak=2.358701 — the levels are the plateau's and the extremes are the
+ edges'. Over a 2 M-sample window those passes read about 0.1% of the samples.
diff --git a/src/measure.cpp b/src/measure.cpp
index e1e05a7..db7810a 100644
--- a/src/measure.cpp
+++ b/src/measure.cpp
@@ -32,6 +32,23 @@ void enter_side(MeasureLevel& acc, std::size_t e, double t) {
// setting now, and a second copy of the number here would be a second thing to keep in step.
constexpr double kPi = 3.14159265358979323846;
+/// The flat level's band, as a half-width in shares of the window's peak-to-peak. 5 % is *under*
+/// the overshoot a band-limited edge rings to -- Gibbs, about 9 % of the swing at the harmonic
+/// counts the mock's `square` uses -- so the ringing's excursion falls outside the densest band
+/// while a plateau's own ripple, a few percent, stays inside it. Measured on the mock's 30-harmonic
+/// square at 1.3 MS/s: the flat top reads 1.000000 with this band, 1.003573 at 3 %, 1.003495 at
+/// 10 % -- the wider bands reach the ringing again. A share and not an absolute width: the band is
+/// the same quantity `threshold_pct` and the hysteresis are measured in.
+constexpr double kFlatBandShare = 0.05;
+
+/// Which bin of a side is the level: the *outermost* one holding at least this share of the
+/// densest bin's buckets. One rule for both kinds of waveform. Where a plateau exists it is by
+/// far the densest band and the rule cannot reach past it. Where none exists -- a sine, a ramp --
+/// the signal dwells in every band it visits, the whole side qualifies, and the outermost is the
+/// honest answer: the level is then the top of what the window reaches, near the peak, rather
+/// than a bin of an arbitrary mid-range density that a shifted window would move.
+constexpr double kFlatTieShare = 0.5;
+
} // namespace
void measure_set_level(MeasureLevel& acc, const MeasureStats& s, double pct, double noise_frac) {
@@ -116,14 +133,29 @@ void measure_scan(const MeasureChunk& chunk, MeasureStats& s, MeasureFilter& fil
}
}
-void measure_scan_buckets(const MeasureBucket* buckets, std::size_t count, MeasureStats& s) {
+void measure_scan_buckets(const MeasureBucket* buckets, std::size_t count, MeasureStats& s,
+ bool flat_hist) {
double sum = 0.0;
std::size_t finite = 0;
+ // The *buckets'* own range, which is not the window's: the window's partial edge buckets are
+ // read raw and are not in this list. Only the non-empty buckets: an all-non-finite bucket is
+ // stored as an empty aggregate and its `lo`/`hi` say nothing.
+ double blo = 0.0;
+ double bhi = 0.0;
+ bool any = false;
for (std::size_t b = 0; b < count; ++b) {
const MeasureBucket& k = buckets[b];
// A bucket of nothing (every sample non-finite) is stored as an empty aggregate, and the raw
// walk skips exactly those samples -- so it contributes nothing here either.
if (k.count == 0) continue;
+ if (!any) {
+ blo = k.lo;
+ bhi = k.hi;
+ any = true;
+ } else {
+ if (k.lo < blo) blo = k.lo;
+ if (k.hi > bhi) bhi = k.hi;
+ }
sum += k.sum;
finite += k.count;
if (!s.valid) {
@@ -147,6 +179,27 @@ void measure_scan_buckets(const MeasureBucket* buckets, std::size_t count, Measu
}
s.sum += sum;
s.count += finite;
+ if (!flat_hist || !any || !(bhi > blo)) return;
+ // One observation per bucket, at its midpoint, carrying that bucket's *exact* sum and finite
+ // count -- so the level the caller finally reports is a mean of real samples and not a bin
+ // centre. Weighting by the bucket (and not by its 64 samples) is what keeps the flat regions
+ // and the ringing on the same footing: the question is how much of the *waveform* dwells in a
+ // band, and a bucket is a span of it. A range that is degenerate (every bucket the same value)
+ // has no band to pick and leaves `folded` at 0, which is the caller's "no histogram".
+ s.flat.lo = blo;
+ s.flat.hi = bhi;
+ const double scale = static_cast(MeasureFlatHist::kBins) / (bhi - blo);
+ for (std::size_t b = 0; b < count; ++b) {
+ const MeasureBucket& k = buckets[b];
+ if (k.count == 0) continue;
+ const double mid = 0.5 * (k.lo + k.hi);
+ std::size_t bin = mid <= blo ? 0u : static_cast((mid - blo) * scale);
+ if (bin >= MeasureFlatHist::kBins) bin = MeasureFlatHist::kBins - 1;
+ s.flat.sum[bin] += k.sum;
+ s.flat.count[bin] += k.count;
+ ++s.flat.buckets[bin];
+ ++s.flat.folded;
+ }
}
void measure_accumulate(const MeasureChunk& chunk,
@@ -219,7 +272,9 @@ bool measure_accumulate_bucket(const MeasureBucket& k,
const bool fully_outside = above ? (k.lo > top) : (k.hi < bot);
// Nothing may be folded before this point: a refusal hands the bucket to `measure_accumulate()`,
// which adds the same samples again. Sums added above the refusal double-counted every opened
- // bucket, which read as `top` 0.614304 on a unit sine against the 2/pi it must be.
+ // bucket -- which read as `top` 0.614304 on a unit sine against the 2/pi a mean over a half then
+ // gave, and which is now the sums `Top`/`Bottom` fall back to on a window with no histogram, so
+ // a wrong one is a wrong answer waiting for that window.
if (change && !fully_outside) return false;
acc.sum[e] += k.sum;
acc.count[e] += k.count;
@@ -231,6 +286,62 @@ bool measure_accumulate_bucket(const MeasureBucket& k,
return true;
}
+MeasureFlatLevels measure_flat_levels(const MeasureStats& b, double pct) {
+ MeasureFlatLevels out;
+ const MeasureFlatHist& h = b.flat;
+ const double span = b.hi - b.lo;
+ if (h.folded == 0 || !(h.hi > h.lo) || !(span > 0.0)) return out;
+ // The split, sized exactly as `measure_set_level()` sizes the level the crossing types read, so
+ // "the top" and "the level a period is counted about" are placed by one rule.
+ const double level = b.lo + std::clamp(pct, 0.0, 1.0) * span;
+ const double width = (h.hi - h.lo) / static_cast(MeasureFlatHist::kBins);
+ const double band = kFlatBandShare * span;
+ for (int upper = 1; upper >= 0; --upper) {
+ const auto in_side = [&](std::size_t i) {
+ const double centre = h.lo + (static_cast(i) + 0.5) * width;
+ return (centre > level) == (upper != 0);
+ };
+ // One scan for the densest bin of this side, one for the outermost of the equally dense
+ // ones, one to sum the band about it: 192 iterations of an array of 64, per flat level.
+ std::size_t densest = 0;
+ for (std::size_t i = 0; i < MeasureFlatHist::kBins; ++i) {
+ if (in_side(i) && h.buckets[i] > densest) densest = h.buckets[i];
+ }
+ // A side of the split with no bucket in it has no level: `top` on a window that never reaches
+ // above the split reads `--`, which is exactly what it read before.
+ if (densest == 0) continue;
+ const double floor_buckets = kFlatTieShare * static_cast(densest);
+ std::size_t anchor = 0;
+ bool have_anchor = false;
+ for (std::size_t i = 0; i < MeasureFlatHist::kBins; ++i) {
+ if (!in_side(i) || static_cast(h.buckets[i]) < floor_buckets) continue;
+ // The upper side wants the *last* qualifier and the lower one the first, so a bottom-up scan
+ // is "always overwrite" for one and "only ever write once" for the other.
+ if (upper != 0 || !have_anchor) anchor = i;
+ have_anchor = true;
+ }
+ if (!have_anchor) continue;
+ const double centre = h.lo + (static_cast(anchor) + 0.5) * width;
+ double sum = 0.0;
+ std::size_t count = 0;
+ for (std::size_t i = 0; i < MeasureFlatHist::kBins; ++i) {
+ const double offset = h.lo + (static_cast(i) + 0.5) * width - centre;
+ if (offset < -band || offset > band) continue;
+ sum += h.sum[i];
+ count += h.count[i];
+ }
+ if (count == 0) continue;
+ if (upper != 0) {
+ out.top = sum / static_cast(count);
+ out.top_ok = true;
+ } else {
+ out.bottom = sum / static_cast(count);
+ out.bottom_ok = true;
+ }
+ }
+ return out;
+}
+
bool measure_level_pct(MeasureType type, const MeasureOptions& options, double& pct) {
switch (type) {
case MeasureType::Top:
@@ -323,11 +434,11 @@ MeasureResult compute_measure(const MeasureStats& b, const MeasureLevel* level,
out.valid = true;
return out;
}
- case MeasureType::PeakToPeak:
- case MeasureType::Amplitude: {
- // Both come straight out of the window's own extremes, which every type already needs:
- // the two rulers are the same pair, and the numbers differ by a factor of two.
- out.primary = type == MeasureType::PeakToPeak ? b.hi - b.lo : 0.5 * (b.hi - b.lo);
+ case MeasureType::PeakToPeak: {
+ // Straight out of the window's own extremes, which every type already needs: this one *is*
+ // the extremes, ripple and overshoot included -- that is the difference between it and
+ // `Amplitude`, which reads the two levels the signal dwells at instead.
+ out.primary = b.hi - b.lo;
// A ruler at each extreme: the *span* is the measurement, and two levels are how a
// plot states a span without a band between them.
out.marks.push_back({true, b.lo});
@@ -335,13 +446,50 @@ MeasureResult compute_measure(const MeasureStats& b, const MeasureLevel* level,
out.valid = true;
return out;
}
+ case MeasureType::Amplitude: {
+ // The delta between the two flat levels, so a ringing edge's overshoot is not part of it.
+ // The split is the mid level, fixed rather than an option -- the dialog offers no threshold
+ // for this type -- and the reading is insensitive to it anyway: the band a level is read from
+ // is a *value* band, so any split between the two plateaus picks the same two.
+ const MeasureFlatLevels flat = measure_flat_levels(b, 0.5);
+ if (flat.top_ok && flat.bottom_ok) {
+ out.primary = flat.top - flat.bottom;
+ out.marks.push_back({true, flat.top});
+ out.marks.push_back({true, flat.bottom});
+ out.valid = true;
+ return out;
+ }
+ // No density estimate to separate a plateau from its ringing: a window shorter than a
+ // bucket, or an HF-rejected walk, which cannot use the pyramid at all. The delta then
+ // degenerates to the window's own peak to peak -- the same number when there is nothing to
+ // exclude, and the only honest one when the ripple cannot be told from the level.
+ out.primary = b.hi - b.lo;
+ out.marks.push_back({true, b.lo});
+ out.marks.push_back({true, b.hi});
+ out.valid = true;
+ return out;
+ }
case MeasureType::Top:
case MeasureType::Bottom: {
- // The mean of one side of the level, straight out of the second pass' running sums. A flat
- // window has no range at all, so every sample lands on the "below" side -- which is why
- // `top` on a signal that never moves reads `--` rather than that one value.
+ // The flat level of one side of the split: the densest band there, whose samples' exact mean
+ // is the value. The band is a *value* band, so the reading does not follow the window's
+ // alignment, and it excludes both a plateau's ripple and an edge's overshoot -- which is the
+ // whole point, because those are exactly what a mean over a side reports instead.
+ double pct = 0.0;
+ if (!measure_level_pct(type, options, pct)) return out;
+ const bool want_top = type == MeasureType::Top;
+ const MeasureFlatLevels flat = measure_flat_levels(b, pct);
+ if (want_top ? flat.top_ok : flat.bottom_ok) {
+ out.primary = want_top ? flat.top : flat.bottom;
+ out.marks.push_back({true, out.primary});
+ out.valid = true;
+ return out;
+ }
+ // No histogram: the mean of one side of the level, straight out of the second pass' running
+ // sums. A window the pyramid cannot summarize is one bucket or two of a zoomed-in view, or
+ // an HF-rejected walk, and on those the split's own means are the honest reading.
if (level == nullptr) return out;
- const std::size_t s = type == MeasureType::Top ? 1 : 0;
+ const std::size_t s = want_top ? 1 : 0;
if (level->count[s] == 0) return out;
out.primary = level->sum[s] / static_cast(level->count[s]);
out.marks.push_back({true, out.primary});
diff --git a/src/measure.hpp b/src/measure.hpp
index 9a1ae88..a786e9d 100644
--- a/src/measure.hpp
+++ b/src/measure.hpp
@@ -17,15 +17,24 @@ enum class MeasureType {
Min, ///< the smallest visible value
Max, ///< the largest visible value
/// The largest swing in the window: `max - min`, the two extremes the eye would measure
- /// with a ruler across the waveform.
+ /// with a ruler across the waveform -- ripple and overshoot included, which is what makes it
+ /// the *extremes* and not a level.
PeakToPeak,
- /// Half the peak-to-peak swing, `(max - min) / 2` -- the amplitude of a symmetric waveform
- /// about its own mean, which is the figure a datasheet quotes and a signal generator is set
- /// to. Deliberately not `max(|value|)`: that is a *distance from zero*, which for a signal
- /// riding on an offset is a different and less useful number.
+ /// The delta between the two **flat** levels, `top - bottom` (a bench scope's `Vamplitude`,
+ /// which is `Vtop - Vbase`). Deliberately *not* the peak-to-peak swing: a band-limited edge
+ /// overshoots and rings, so the extremes of a nominal 2 V square read about 2.36 V, while the
+ /// levels the signal actually dwells at are ±1 and their delta exactly 2. Where the window
+ /// has no density estimate to separate a plateau from its ripple (shorter than one bucket, or
+ /// an HF-rejected walk) it degenerates to the window's own peak to peak, which is the same
+ /// number on a waveform with nothing to exclude. Never `max(|value|)`: that is a *distance
+ /// from zero*, which for a signal riding on an offset is a different and less useful number.
Amplitude,
- Top, ///< the signal's high level (the mean of the samples above the threshold)
- Bottom, ///< the signal's low level (the mean of the samples below it)
+ /// The signal's high level: the densest band of the window's upper side, whose samples' exact
+ /// mean is the value -- the *flat top*, so a plateau's ripple and an edge's overshoot neither
+ /// define it nor enter it.
+ Top,
+ /// The signal's low level, the same way from the window's lower side.
+ Bottom,
PulseDuration, ///< how long the signal spends on one side of the threshold
Period, ///< the time between two successive crossings of the threshold
Frequency, ///< 1 / period
@@ -92,6 +101,35 @@ struct MeasureResult {
bool valid = false;
};
+/// The density estimate behind `Top`/`Bottom`/`Amplitude`: one bin per band of the window's
+/// value range, over the whole LOD buckets pass one walked.
+///
+/// A flat level is a *density* question, not an extreme one: on a band-limited square the
+/// plateau holds most of the samples while the edge's ringing holds a few percent, so the
+/// densest band is the level the signal dwells at and the ringing is what a mean over a side
+/// reports instead. One bucket is one observation at its midpoint -- a bucket is 64 samples
+/// held as one aggregate, so counting its samples would weight a flat region by nothing at all
+/// and a ringing one by 64 -- and each bin also carries the exact sum and count of the samples
+/// its buckets hold, which is what makes the reported level an exact mean rather than a bin
+/// centre. The bucket list is the one pass one already fetches; no pass reads raw samples for
+/// this, which is the whole reason it is built from buckets and not from a sample histogram
+/// (that would be a second O(window) walk).
+struct MeasureFlatHist {
+ /// Bins across the buckets' own range. The band the level is read from is picked at this
+ /// resolution and is a share of the *window's* peak-to-peak, so the bin count only sets how
+ /// finely the densest band can be located.
+ static constexpr std::size_t kBins = 64;
+ double lo = 0.0; ///< the bin range: the whole buckets' own smallest `lo`..
+ double hi = 0.0; ///< ..and largest `hi`. Empty when nothing was folded.
+ double sum[kBins] = {};
+ std::size_t count[kBins] = {};
+ std::size_t buckets[kBins] = {};
+ /// Whole buckets folded in: 0 means this window has no histogram at all (a window shorter
+ /// than a bucket, or an HF-rejected walk, which cannot use the pyramid), and the flat-level
+ /// types then fall back to their split-relative readings.
+ std::size_t folded = 0;
+};
+
/// The window's own extremes, which every threshold-relative type scales from and which
/// several types report directly. Public so a caller holding *several* measurements on one
/// signal can pay for the scan once: it is O(visible samples) and a live view at 1 MS/s makes
@@ -119,6 +157,10 @@ struct MeasureStats {
/// `compute_measure()` reads these, so a caller that skips the resolve reports t = 0.
double at_lo = 0.0;
double at_hi = 0.0;
+ /// The flat levels' density estimate, folded from the same whole buckets pass one walked.
+ /// The *values* are resolved by `measure_flat_levels()`, which needs the split and the
+ /// window's span and so cannot be done until the walk is over.
+ MeasureFlatHist flat;
bool valid = false;
};
@@ -195,7 +237,14 @@ void measure_scan(const MeasureChunk& chunk, MeasureStats& stats, MeasureFilter&
/// Pass one from whole buckets: the same figures, exactly, for 1/64 of the reads. The extreme's
/// position comes out as a *bucket* (`lo_search`/`hi_search` non-zero), which one raw
/// `measure_scan()` of that bucket then pins. Interleave with `measure_scan()` in window order.
-void measure_scan_buckets(const MeasureBucket* buckets, std::size_t count, MeasureStats& stats);
+///
+/// `flat_hist` folds the same list into `stats.flat` for the flat-level types, in a second tight
+/// loop over the array (the bin range is the buckets' own, which the first loop is what
+/// discovers). That loop is O(buckets) and reads no sample, so the `measure cost:` line's `raw`
+/// is unchanged by it -- the cost is buckets, which is the budget the pane is on. It is the
+/// caller's because only the caller knows whether any measurement reads a flat level.
+void measure_scan_buckets(const MeasureBucket* buckets, std::size_t count, MeasureStats& stats,
+ bool flat_hist);
/// Everything the threshold-relative types need from a second walk, at one level: the sum and
/// count of the samples on either side of it, and its crossings reduced to running figures -- the
@@ -215,12 +264,17 @@ struct MeasureLevel {
/// `period=0.025622 freq=39.029` for a true 0.2 s / 5 Hz. With the band, `period=0.200188`.
///
/// It moves the *edge decision* only. The `sum`/`count` split below stays at the bare `level`,
- /// because that is what `Top`/`Bottom` are -- the mean of the samples above/below the threshold --
- /// and a band there would change a documented exact reading (`top` on a unit sine is 2/pi).
- /// `measure_set_level()` is what sizes it; zero reduces the walk exactly to a single level.
+ /// so a band can never change it -- the split is the split, and a sample's side of it is a
+ /// fact rather than a threshold decision. `measure_set_level()` is what sizes it; zero reduces
+ /// the walk exactly to a single level.
double hysteresis = 0.0;
- /// Index 0 is the side below the level (a sample exactly *at* it counts here, which is what
- /// `bottom` has always reported), index 1 the side above it.
+ /// The samples either side of `level`, exactly: `Top`/`Bottom`'s reading on a window with no
+ /// bucket histogram to read a flat level from (shorter than one bucket, or an HF-rejected
+ /// walk). They are folded on every window -- pass two walks it for the crossing types anyway
+ /// -- but a window that has a histogram is read from that instead, because a mean over a side
+ /// reports the ripple and the overshoot rather than the level the signal dwells at.
+ /// Index 0 is the side below the level (a sample exactly *at* it counts here), index 1 the
+ /// side above it.
double sum[2] = {0.0, 0.0};
std::size_t count[2] = {0, 0};
double first_enter[2] = {0.0, 0.0};
@@ -275,9 +329,29 @@ bool measure_accumulate_bucket(const MeasureBucket& bucket,
/// The level a type reads, as a share of the window's own min..max, or false when it reads none
/// (the pure statistics, answered from `MeasureStats` alone). `Top`/`Bottom` read the
/// measurement's own threshold; the crossing types read the mid level, deliberately -- see
-/// `measure_uses_threshold()`.
+/// `measure_uses_threshold()`. `Amplitude` reads no level either: its value is the delta between
+/// the two flat levels, which the histogram answers, and the split's two means are only a
+/// fallback it takes from the window's own extremes -- see `compute_measure()`.
bool measure_level_pct(MeasureType type, const MeasureOptions& options, double& pct);
+/// The window's two flat levels, from the bucket histogram in `stats.flat`. `top` is the densest
+/// band of the bins *above* `lo + pct * (hi - lo)`, `bottom` the same below it -- for a
+/// crossing type's mid level that is the two plateaus of a pulse train, and for `Top`/`Bottom`'s
+/// own threshold it is "which side is the level I want". Each side is false when it holds no
+/// bucket, and both are false when the window has no histogram at all.
+///
+/// Two things this does not do. It does not read a sample: every figure comes from buckets pass
+/// one already fetched. And it does not read the window raw, which is why the answer is
+/// independent of how the window happens to be aligned -- the band is a *value* band, so the
+/// level it reports does not move when the window does.
+struct MeasureFlatLevels {
+ double top = 0.0;
+ bool top_ok = false;
+ double bottom = 0.0;
+ bool bottom_ok = false;
+};
+MeasureFlatLevels measure_flat_levels(const MeasureStats& stats, double pct);
+
/// The engine: one measurement's answer, O(1), from the two passes' results. `level` is the
/// accumulator for `measure_level_pct(type, options)` and may be null for the types that read
/// none. The function reads nothing else, which is what keeps the answer independent of the plot.
@@ -298,8 +372,8 @@ bool measure_uses_threshold(MeasureType type);
/// the waveform is the pulse).
bool measure_uses_side(MeasureType type);
/// Whether a type reads the hysteresis band, so the dialog can show the field only then. The band moves
-/// the *edge* decision and nothing else, so it is exactly the crossing types: `Top`/`Bottom` split their
-/// sums at the bare level and read the same answer at any band.
+/// the *edge* decision and nothing else, so it is exactly the crossing types: `Top`/`Bottom` read a flat
+/// level out of the bucket histogram, which no band touches.
bool measure_uses_noise(MeasureType type);
/// Whether a type draws its result on the plot when asked.
bool measure_can_show_on_plot(MeasureType type);
diff --git a/src/ui_app.hpp b/src/ui_app.hpp
index c5b4f6a..4ef119e 100644
--- a/src/ui_app.hpp
+++ b/src/ui_app.hpp
@@ -506,6 +506,10 @@ struct App {
std::vector level; ///< one accumulator per entry of `pct`
MeasureFilter scan_filter; ///< pass one's state
MeasureFilter acc_filter; ///< pass two's; a separate walk, so a separate state
+ /// Some measurement on this window reads a flat level, so pass one folds the bucket
+ /// histogram the flat-level types are answered from. Only then: a pane of means and extremes
+ /// should not pay for a density estimate it never reads.
+ bool flat_wanted = false;
bool ok = false;
};
std::vector measure_samples;
diff --git a/src/ui_measure.cpp b/src/ui_measure.cpp
index 7dbab0c..56eb393 100644
--- a/src/ui_measure.cpp
+++ b/src/ui_measure.cpp
@@ -118,15 +118,24 @@ void measure_dialog_sync(MeasureDialog* d) {
"show on plot (ruler at the value, marker where it is)");
break;
case MeasureType::PeakToPeak:
- case MeasureType::Amplitude:
gtk_label_set_text(GTK_LABEL(d->threshold_label), "");
gtk_label_set_text(GTK_LABEL(d->side_label), "");
gtk_check_button_set_label(GTK_CHECK_BUTTON(d->show),
"show on plot (rulers at both extremes)");
break;
+ case MeasureType::Amplitude:
+ gtk_label_set_text(GTK_LABEL(d->threshold_label), "");
+ gtk_label_set_text(GTK_LABEL(d->side_label), "");
+ // Amplitude is the delta between the two *flat* levels, so its rulers are those two and not
+ // the extremes a peak-to-peak draws: the pair of rulers is the reading.
+ gtk_check_button_set_label(GTK_CHECK_BUTTON(d->show),
+ "show on plot (rulers at both flat levels)");
+ break;
case MeasureType::Top:
case MeasureType::Bottom:
- gtk_label_set_text(GTK_LABEL(d->threshold_label), "split % of the range");
+ // The split picks the *side*: the level is the densest band either above or below it, so any
+ // split between the two plateaus reads the same -- it is not a mean over the side any more.
+ gtk_label_set_text(GTK_LABEL(d->threshold_label), "split % of the range (picks the side)");
gtk_check_button_set_label(GTK_CHECK_BUTTON(d->show), "show on plot (ruler at the level)");
break;
case MeasureType::PulseDuration:
@@ -320,6 +329,12 @@ void update_measures(App& app, bool force, bool accumulate) {
}
want_window[i] = static_cast(wi);
App::MeasureWindow& w = app.measure_samples[wi];
+ // The three types whose value is a flat level: pass one folds the bucket histogram for this
+ // window only if one of them is in the pane.
+ if (m.type == MeasureType::Top || m.type == MeasureType::Bottom ||
+ m.type == MeasureType::Amplitude) {
+ w.flat_wanted = true;
+ }
double pct = 0.0;
if (!measure_level_pct(m.type, m.options, pct)) continue;
// A type that does not read the band must not split the accumulator over it: its sums split at the bare
@@ -348,6 +363,12 @@ void update_measures(App& app, bool force, bool accumulate) {
// for the samples produced since this frame's `acquire_all()`, and for those straddling
// buckets; a window shorter than a bucket, or a signal noisy enough to straddle everywhere,
// degrades back to the O(window) cost and nothing else changes.
+ //
+ // The flat-level types (`top`/`bottom`/`amplitude`) are the one thing that reads a *third* time
+ // -- and it is the same fetched bucket list, not a third fetch: pass one's bucket walk folds its
+ // own histogram while it has the buckets in hand (see `measure_scan_buckets`). It is O(buckets)
+ // and it reads no sample, so `raw` does not move; a pane with none of those three types does
+ // not pay for it at all.
constexpr std::size_t kChunk = 8192;
std::vector& buckets = app.measure_bucket_scratch;
for (App::MeasureWindow& w : app.measure_samples) {
@@ -385,7 +406,9 @@ void update_measures(App& app, bool force, bool accumulate) {
const auto scan = [&](const MeasureChunk& c) { measure_scan(c, w.stats, w.scan_filter); };
raw(0, bulk_from, scan);
- if (!buckets.empty()) measure_scan_buckets(buckets.data(), buckets.size(), w.stats);
+ if (!buckets.empty()) {
+ measure_scan_buckets(buckets.data(), buckets.size(), w.stats, w.flat_wanted);
+ }
raw(bulk_to, n, scan);
// A bucket named the 64 samples that hold an extreme, not the sample. One scan of that bucket
// pins it -- two buckets at most, whatever the window's size.
diff --git a/src/ui_probe.cpp b/src/ui_probe.cpp
index dfdb0f7..3fa29b4 100644
--- a/src/ui_probe.cpp
+++ b/src/ui_probe.cpp
@@ -1176,7 +1176,8 @@ gboolean measure_probe(gpointer user) {
// The signal this probe measures is enabled *here*, for the same reason the noise probe enables its own:
// a probe must not depend on another probe's side effects. `enable_all_probe` ends by switching a signal
// off (it reads what a disabled signal does to the plots), and with `sine` gone the readings below were
- // taken on `square` -- where `top` is 1.0, not the 2/pi the documented baseline is.
+ // taken on `square` -- where `top` is its plateau's 1.0 rather than the sine's flat level, and the numbers
+ // the docs quote are the sine's.
{
const std::vector& signals = a->model->signals();
for (std::size_t i = 0; i < signals.size(); ++i) {