`Plot::set_density()` gives a plot a **phosphor density**: a screen-sized intensity image behind
its traces, into which each acquisition is deposited and which fades by a time constant or by a
per-acquisition factor. It is the library's and not a host's because the library is the side that
knows a trace's device geometry -- a host would be re-rasterising traces the renderer has already
staged, at a second derivation of the same mapping.
It is an **image and not a set of retained traces**, and that is the whole of its cost: one `f32`
cell per device pixel of the axes rect (`DensityGrid`), a cell's value a *number of sweeps*, so a
display of a thousand acquisitions costs what one costs and there is no depth to get wrong.
Measured on a 640x360 viewport's axes: **573x313 = 179 349 cells, 717 396 bytes** of grid, and one
byte per cell uploaded on the frame the grid moved.
- `Plot::accumulate_density()` deposits the acquisition on screen: every visible trace's window is
mapped to sample indices and gathered exactly as `Renderer::draw_traces()` maps it, then walked
column by column -- so the deposit is bounded by the axes' columns and not by the samples behind
them -- and a cell takes **1.0 once per trace per sweep**, however many of that trace's own
samples crossed it. Counting the hits instead put a single dense sweep at the ceiling of the
brightness scale and hid the sweeps behind it, and it made a cell mean "how much the beam moved
here" rather than "how many acquisitions were here"; the dedupe is a stamp per grid *row* (one
`u64`, keyed by trace and column) so two sweeps agreeing on a cell still count twice. Dwell is a
different question the library already answers (`Style::intensity_grading`).
- `decay_density(dt_s)` fades by the clock, `clear_density()` and switching the density off drop
the image at once. `DensityConfig` carries `full_scale` and `gamma`, applied on the CPU when the
grid changed: the value a host reads back through `ink()`/`peak()` and the picture it sees are
one derivation, and a frame whose grid did not move skips the conversion and the upload entirely
(`FrameStats::density_cells`/`density_upload_bytes`, the latter the *frame's* total over every
row, which one row's assignment used to overwrite).
- The renderer draws it as one attribute-less quad over the axes rect (`kDensityVS`/`kDensityFS`,
`DensityProgram`), over the grid and the invalid-span bands and **under the traces**, inside the
axes' clip: it reserves no layout space and nothing on it can be picked, exactly as
`Plot::set_invalid_spans()` does. `Style::density` is its tint.
- The two fades are the two questions a persistence display can be asked -- "still visible a second
later" and "the N-th back is gone" -- so the choice is the caller's.
Six cases, all in the suite: four plot-level ones (the grid's resolution and memory, the
per-acquisition schedule **584 -> 876 -> 1022** ink with `peak_steady=2.000`, `exp(-dt/tau)` off
the ink, and the deposit's own geometry including a NaN as a gap) and one on the real driver
(`a_phosphor_density_is_drawn_under_the_traces`: `cells=179349 uploaded=179349` on the moved frame
and `uploaded=0` on the identical one after it, with the trace's stroke keeping its own colour over
the ink). The suite is **396 cases, 0 failed** and all four ctest entries pass.