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Document sqrt scale mapping and update mapping table

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Adrian A. Baumann
2026-07-14 19:31:24 +02:00
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README.md
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@@ -48,7 +48,7 @@ The font must be installed at `/usr/local/share/fonts/г/ГОСТ_тип_А.ttf`
|---|---| |---|---|
| Unit | Symbol shown in the left panel (e.g. `U`, `mA`, `%`). Supports inline markup — see below | | Unit | Symbol shown in the left panel (e.g. `U`, `mA`, `%`). Supports inline markup — see below |
| Range label | Text inside the coloured bar on the right (e.g. `5mA`) | | Range label | Text inside the coloured bar on the right (e.g. `5mA`) |
| Mapping | **Linear** or **Log**. Log spaces values geometrically (major ticks evenly spaced, minor ticks crowding toward the high end) and requires Min and Max greater than 0 | | Mapping | **Linear**, **√** (square root), or **Log**. Major ticks are always evenly spaced physically; the mapping controls their values and how minor ticks are placed within each interval. See below. |
| Min / Max | Numeric range of the scale | | Min / Max | Numeric range of the scale |
| Major intervals | Number of major tick intervals | | Major intervals | Number of major tick intervals |
| Minor per interval | Minor ticks between each pair of major ticks | | Minor per interval | Minor ticks between each pair of major ticks |
@@ -58,6 +58,16 @@ The font must be installed at `/usr/local/share/fonts/г/ГОСТ_тип_А.ttf`
Calculated numbers are rendered in fixed-point notation at 4 significant figures — never scientific (e.g. `10000`, not `1e+04`). Calculated numbers are rendered in fixed-point notation at 4 significant figures — never scientific (e.g. `10000`, not `1e+04`).
### Scale mappings
| Mapping | Major tick values | Minor tick placement | Constraints |
|---|---|---|---|
| Linear | Evenly spaced | Uniform | None |
| √ | Quadratic (0, 1, 4, 9 … × max) — compresses low values | Crowded toward the low end of each interval | Min ≥ 0 |
| Log | Geometric (min × r⁰, r¹, r² …) — each interval spans the same ratio | Crowded toward the high end of each interval | Min and Max > 0 |
The √ mapping is typical for AC RMS current and power meters, where needle deflection is proportional to the square of the measured quantity.
### Unit markup ### Unit markup
The Unit field accepts a lightweight shorthand (no LaTeX engine — everything is drawn as glyph paths in the ГОСТ тип А font and auto-sized to fit the panel): The Unit field accepts a lightweight shorthand (no LaTeX engine — everything is drawn as glyph paths in the ГОСТ тип А font and auto-sized to fit the panel):