feat(plot): an axis can write its labels relative to an origin, and time scales by prefix

A host zooming into a sub-second window cannot label it absolutely: Time
formatting uses three significant digits, so 12.345671s and 12.345672s are the
same string and a 1 ms step around a multi-second time is unlabelled. The axis
gains an `origin`: every value it writes is `v - origin`, and the ticks are
generated on the shifted grid, so the window reads 0, 500us, 1ms.
`origin_follows_range` re-takes the origin from the axis' own range on every
refresh -- the mode a *moving* window needs, since the edge is derived from the
newest sample at layout time and a value the host wrote a frame earlier is a
frame of scroll stale.

`format_time` now scales its sub-second values by prefix, the way `format_si`
does on a y axis: the unit that keeps the mantissa in [1, 1000). A fixed
millisecond unit printed 0.005ms where 5us is the reading, and 1e-05ms where
10ns is. An exact zero prints `0`, the same convention `format_si` states. The
origin subtraction's dust is snapped by a *relative* epsilon, so a tick on the
origin reads 0 rather than 1.78e-12ms.

Tested by `ticks_are_written_relative_to_an_axis_origin`,
`a_range_origin_puts_the_zero_tick_on_the_left_edge` and the extended
`format_time_shapes`; the suite is 359 cases, 0 failed.
This commit is contained in:
Martino Ferrari committed 2026-10-03 12:14:42 +02:00
1 parent 211c5b97bc
commit 2dcd1f1864
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@@ -48,7 +48,10 @@ void format_si(f64 v, char* buf, usize n, const char* unit = nullptr);
/// field is derived from that one number, so no field can ever reach its radix:
/// 119.5 s is `2:00`, not `1:60`, and 3599.5 s is `1:00:00`.
///
/// Shapes, by magnitude: below 1 s `500ms`; below 60 s `1.5s`; below 1 h `1:30`;
/// Shapes, by magnitude: below 1 s the prefixed unit that keeps the mantissa in
/// `[1, 1000)` -- `500ms`, `5ms`, `500us`, `5us`, `5ns`, `5ps` (the micro sign is
/// UTF-8 U+00B5, as in `format_si`) -- with an exact zero printed as `0` rather
/// than as a zero of some unit; below 60 s `1.5s`; below 1 h `1:30`;
/// at or above 24 h, as a decimal day count `2.5d`. Between 1 h and 24 h the
/// shape is `1:01:01` -- and because a value that rounds up to 24 h takes the day
/// shape, the hour field of that shape is always below 24. The 60 s and 1 h
@@ -87,6 +90,6 @@ inline constexpr usize kMaxTicks = 256;
/// single-sample series), a non-positive `px` or `min_px`, and a span whose step
/// overflows to infinity.
void generate_ticks(Range range, f32 px, f32 min_px, std::vector<Tick>& out,
bool include_minors = false);
bool include_minors = false, f64 origin = 0.0);
} // namespace plot