fix(figure): a following group keeps its whole window on the data

The offset of a following group was clamped to `retained` -- measured from the newest sample -- so
a pan (or a zoom-in anchored near an edge) could put the window's *right* edge exactly on the oldest
retained sample. That leaves the window's entire span to its left over data the scope never had: an
empty margin as wide as the view. The bound is about the whole window, so it is `retained - span` --
but only while the window *can* sit on the data. When the members retain less than a window's worth
(a ring still filling, or one just trimmed) nothing avoids a margin, and the older placement is the
honest one and stays: right edge on the newest sample, the shortfall on the left.

Test: a_following_group_keeps_its_whole_window_on_the_data -- asks to scroll ten spans past the
oldest sample and asserts the window is still a window, with its left edge on the data. The
existing `a_following_log_group_holds_decades` codified the old bound (`max == edge/10` after asking
for a decade of pan with far less than that retained); its log-space subject is unchanged and the
offset assertion is now the invariant above.

README.md

@@ -14,6 +14,11 @@ built on top of it.
 | Qt6 | `plot::qt6` | `adapters/qt6/` |
 | GTK4 | `plot::gtk4` | `adapters/gtk4/` |
 
+The visible x range is mapped onto sample indices through the series' own x
+(`Series::neighbours()`, a binary search over the real stamps), never through the
+`(x - x0()) / dx()` grid: `dx()` is a *nominal* spacing, and a series whose x is a streamed
+timestamp would otherwise have its draw window land inside the visible range and lose the two
+segments that enter and leave the frame — the empty left and right margins of a zoomed-in view.
 Per-frame rendering cost is O(visible pixels + samples produced since the last frame),
 not O(samples): a trace denser than one sample per pixel is drawn from a min/max LOD
 pyramid rather than from raw samples. The `plot_multiplot_demo` run stages **20,901 GPU
@@ -24,8 +29,16 @@ run touched a GPU, so read it as an upper bound and a record of the software pat
 
 ## Features
 
+- a following group's window stays on its members' data: while the members retain at least a
+  window's worth, the scroll offset is bounded by `retained - span`, so a pan or a zoom-in near an
+  edge cannot leave the window's own span over data the scope never had (a window *wider* than the
+  data keeps the older placement -- right edge on the newest sample);
+- sample **markers** when a window is sparse enough that its samples are the shape
+  (`Style::marker_below_samples`, 50 by default, `marker_px` across, in the trace's own colour);
 - grid with independent major/minor line classes (`Style::grid_major_visible`,
-  `grid_minor_visible`);
+  `grid_minor_visible`), each with its own colour, width and (for the minors) dash — the
+  subdivisions default to thinner, dashed and alpha-blended, so they read as texture under the
+  labelled grid rather than as a second set of ticks;
 - x and y axes, with a vertical (bottom-to-top) y-axis title;
 - cursors in both orientations — vertical markers and horizontal rulers;
 - draggable regions and measurement bands with exact interval statistics;

docs/styling.md

@@ -36,8 +36,8 @@ Colours (neither logical nor device — nothing to scale):
 | field | default | meaning |
 |---|---|---|
 | `background` | `0x101418` | frame clear colour and legend/readout panel base |
-| `grid_major` | `0x2A3038` | major (labelled-tick) grid lines |
-| `grid_minor` | `0x1C2126` | minor (subdivision) grid lines |
+| `grid_major` | `0x39414C` | major (labelled-tick) grid lines |
+| `grid_minor` | `0x1C2126` at 50% alpha | minor (subdivision) grid lines |
 | `axis_line` | `0x8A94A6` | axis lines |
 | `axis_text` | `0xC8D0DC` | tick labels and axis titles |
 | `cursor` | `0xFFB020` | cursor markers; also the hovered/grab highlight |
@@ -56,8 +56,12 @@ Logical metrics (scaled by `device()`):
 |---|---|---|
 | `axis_font_px` | `12.0` | logical em the axis text is drawn at |
 | `grid_label_pad` | `4.0` | gap between a tick label and the axes, and the inset inside a title strip |
+| `marker_below_samples` | `50` | a dot per raw sample when the window holds at most this many (`0` = never) |
+| `marker_px` | `3.0` | logical size of that dot |
 | `grid_major_width` | `1.0` | width of a major grid line |
-| `grid_minor_width` | `1.0` | width of a minor grid line |
+| `grid_minor_width` | `0.75` | width of a minor grid line (sub-pixel on purpose) |
+| `grid_minor_dash_on` | `3.0` | minor grid dash: ink length in logical pixels |
+| `grid_minor_dash_off` | `3.0` | minor grid dash: gap; `0` draws the minor grid solid |
 | `grid_major_visible` | `true` | stage the major grid at all |
 | `grid_minor_visible` | `true` | stage the minor grid at all |
 | `line_width_px` | `1.5` | width of the strokes framing the data (axis lines, cursor markers) |
@@ -91,6 +95,29 @@ transparent. `Grid` therefore carries both classes' geometry whatever the style
 caller that draws the grid itself applies the same two switches. `Grid::vertical` and
 `Grid::horizontal` (both `true`) control which directions emit lines at all.
 
+The labelled class is the **structure** and the subdivisions are **texture**, and the minor
+grid's three defaults are what makes that read: it is thinner than the major hairline
+(`grid_minor_width`, a sub-pixel width that at 1x is expressed as coverage and on a HiDPI
+display as a narrower line), its colour carries an **alpha** so it blends into the
+background instead of sitting on it, and it is **dashed** (`grid_minor_dash_on`/`_off`) so an
+unlabelled line at an unlabelled position is never mistaken for a labelled one. Together
+those put a minor line at an order of magnitude less ink than a major one — at full opacity and the
+same width a dense minor grid reads as a second set of ticks. The dash is a fragment-shader
+discard, not extra geometry: the vertices are the line either way. Set
+`grid_minor_dash_off = 0` for the old solid subdivision.
+
+## A cursor's stroke
+
+`set_cursor_color()` gives a cursor its own colour and `set_cursor_stroke()` its own width and
+dash (`Cursor::width`, `Cursor::dash`). Per cursor rather than per plot, because a host uses
+cursors for two different jobs: the instruments that frame a reading — a marker at an edge, a pull
+handle — and the *readout marks* a computation places on the data (a measured level, a peak, a
+pulse's edges). Those want different weights. `width <= 0` means the style's default for that
+cursor (`handle_width_px` while it is hovered or grabbed, `line_width_px` otherwise), and a hover
+can only make the stroke *thicker*: the cue that the pointer has hold of something must not be the
+thing that hides it. `dash.off <= 0` (the default) is solid — the same convention as a trace's,
+the crosshair's and the grid's.
+
 ## The crosshair's dash
 
 `crosshair_dash_on`/`crosshair_dash_off` are the fragment shader's discard pattern, so no

include/plot/plot/axis.hpp

@@ -52,6 +52,23 @@ struct Axis {
   AxisPlace place = AxisPlace::Bottom;
   bool log = false;
   TickFormat format = TickFormat::Si;
+  /// The value the labels are written *relative to*: every value on this axis is formatted as
+  /// `v - origin`, and the ticks are generated on that shifted grid. A host uses it to read a
+  /// zoomed-in window against its own left edge -- the labels then say `0, 0.5ms, 1ms` with the
+  /// window's start printed once beside the axis, instead of `12.345671s, 12.345672s` (which
+  /// three significant digits cannot even distinguish). 0 by default, which is the plain
+  /// absolute axis; the *positions* of the ticks are unchanged by it in the sense that only
+  /// their printed value shifts.
+  f64 origin = 0.0;
+
+  /// When set, `origin` is re-taken from the axis' own range on every `refresh()` -- the labels
+  /// then count from whatever the left edge currently is, and the tick on that edge reads zero
+  /// exactly, without a host having to predict where the follow will place the window (which it
+  /// cannot: the window moves with the samples, and a value written a frame earlier is a frame
+  /// of scroll stale). The window-start label a host draws beside the axis is then
+  /// `origin` *after* the frame, which is the value these labels were built with.
+  bool origin_follows_range = false;
+
   /// Whether this axis follows the newest sample. Only meaningful on an x axis --
   /// a y axis has no live edge -- and `Off` on both, so nothing changes for a
   /// caller who never asks for it. See XFollow.

include/plot/plot/cursor.hpp

@@ -6,6 +6,7 @@
 
 #include <plot/core/color.hpp>
 #include <plot/core/types.hpp>
+#include <plot/math/vec2.hpp>
 
 namespace plot {
 
@@ -92,6 +93,19 @@ struct Cursor {
   /// hit radius it would have taken is left to whatever is behind it. Drawn exactly as a
   /// visible one is: this is about the gesture, not the ink.
   bool selectable = true;
+  /// The stroke's logical width; `<= 0` means the style's default for this cursor
+  /// (`Style::handle_width_px` while it is hovered or grabbed, `Style::line_width_px`
+  /// otherwise). Per cursor, like the colour, because a host uses cursors for two different
+  /// jobs: the instruments that frame a reading (a marker at an edge, a pull handle) and the
+  /// *readout marks* a computation places on the data (a measured level, a peak). Those want
+  /// different weights, and a hover can only make the stroke thicker, never thinner -- the cue
+  /// that the pointer has hold of something must not be the thing that hides it.
+  f32 width = 0.0f;
+  /// The dash, logical pixels: ink length and gap. `off <= 0` (the default) is a solid stroke --
+  /// the same convention as a trace's, the crosshair's and the grid's. A dashed readout mark is
+  /// distinguishable by *form* from the solid chrome around it, which is what an instrument that
+  /// reports a number should be.
+  Vec2 dash{};
 
   /// True when this is a horizontal ruler (spans the axes' width, reads its `y`). The one
   /// place the orientation becomes a branch, so every consumer takes the same decision and

include/plot/plot/plot.hpp

@@ -484,10 +484,29 @@ class Plot {
   /// be told apart from its neighbours, and its colour is how it says which readout it
   /// belongs to. An id that names no cursor is ignored, like every other setter here.
   void set_cursor_color(u32 id, Color color);
+
+  /// A cursor's stroke: its logical width (`<= 0` for the style's default) and its dash
+  /// (`dash.off <= 0` for solid). The instrument's own, like its colour -- see `Cursor::width`.
+  void set_cursor_stroke(u32 id, f32 width, Vec2 dash);
   /// Makes a cursor unselectable (see `Cursor::selectable`): the pointer cannot hover or
   /// grab it, which is what a host wants for a marker it draws as a *readout*. An id that
   /// names no cursor is ignored, like every other setter here.
   void set_cursor_selectable(u32 id, bool selectable);
+  /// Sets the value an axis' labels are written relative to (see `Axis::origin`). The ticks
+  /// are generated on that shifted grid too, so a host that zooms into a window can label it
+  /// from its own left edge. An id that names no axis of that orientation is ignored, like the
+  /// other setters here -- x and y ids are separate sequences, so the orientation is part of
+  /// the call.
+  void set_x_axis_origin(u32 axis, f64 origin);
+  void set_y_axis_origin(u32 axis, f64 origin);
+  /// The origin the matching setter stored (0 for an axis that never had one).
+  f64 x_axis_origin(u32 axis) const;
+  f64 y_axis_origin(u32 axis) const;
+  /// Makes an axis' label origin follow its own range (see `Axis::origin_follows_range`): the
+  /// labels then count from the left edge the frame actually has, which is the only way a
+  /// host can label a *moving* window from its start without being a frame behind.
+  void set_x_axis_origin_from_range(u32 axis, bool on);
+  void set_y_axis_origin_from_range(u32 axis, bool on);
 
   /// The measurement for `id`. Re-evaluated only when a cursor moved, when the
   /// measure was added, or when the series underneath it changed: a different

include/plot/plot/ticks.hpp

@@ -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

include/plot/render/style.hpp

@@ -38,8 +38,19 @@ struct Style {
   // --- colours: neither logical nor device, so nothing to scale ------------
 
   Color background = Color::hex(0x101418);
-  Color grid_major = Color::hex(0x2A3038);
-  Color grid_minor = Color::hex(0x1C2126);
+  /// The labelled grid. Brighter than the subdivisions and still well under `axis_line`
+  /// (0x8A94A6): the grid is structure the eye can read, the axis is the frame, and the
+  /// hierarchy between the three is what keeps a dense plot legible. It is already fully
+  /// opaque, so "more prominent" means a brighter colour and nothing else.
+  Color grid_major = Color::hex(0x39414C);
+  /// The minor grid's colour, **with an alpha** so it blends into the background rather than
+  /// sitting on it: a subdivision is a reading aid, and at full opacity a dense minor grid
+  /// reads as a second set of ticks competing with the labelled one. The line shader applies
+  /// `u_color.a` (see `src/render/shaders.cpp`), so this one blends and the major -- opaque at
+  /// 0x39414C -- stays the structure the eye picks out. Together with `grid_minor_width` and
+  /// the dash below, the defaults put a minor line at an order of magnitude less ink than a
+  /// major one.
+  Color grid_minor = Color::hex(0x1C2126, 0.5f);
   Color axis_line = Color::hex(0x8A94A6);
   Color axis_text = Color::hex(0xC8D0DC);
   Color cursor = Color::hex(0xFFB020);
@@ -96,10 +107,31 @@ struct Style {
   /// skips it before the first segment is staged, so a dense plot's minor grid
   /// costs nothing rather than being drawn transparent (spec §11). The colours
   /// above are already per class.
+  /// When a trace's window holds at most this many raw samples, each one is also drawn as a dot
+  /// `marker_px` logical pixels across, in the trace's own colour. `0` draws none. Zoomed in far
+  /// enough to see individual samples -- a handful of them across a whole panel -- the polyline
+  /// *between* them stops being the shape, and the samples themselves are what a reader is looking
+  /// at; a marker makes each one a place rather than a bend in a line.
+  f32 marker_below_samples = 50.0f;
+  f32 marker_px = 3.0f;
   f32 grid_major_width = 1.0f;     ///< logical width of a major (labelled-tick) line.
-  f32 grid_minor_width = 1.0f;     ///< logical width of a minor (subdivision) line.
+  /// Logical width of a minor (subdivision) line: **thinner than the major hairline**, and
+  /// sub-pixel on purpose. At 1x that is expressed as *coverage* -- the anti-aliased ramp
+  /// (`line_aa_px`) lights one column at roughly three quarters of the ink -- and on a HiDPI
+  /// display as a line that is literally narrower. The point is hierarchy: the labelled grid is
+  /// structure, the subdivisions are texture.
+  f32 grid_minor_width = 0.75f;
   bool grid_major_visible = true;  ///< stage the major grid at all.
   bool grid_minor_visible = true;  ///< stage the minor grid at all.
+  /// The minor grid's dash, in logical pixels: ink length and gap. **`off == 0` draws it
+  /// solid** -- the same convention as the crosshair's and a trace's dash -- which is what a
+  /// caller that wants the old solid subdivision states. Dashed is the default because an
+  /// unlabelled line at an unlabelled position should never be mistaken for a labelled one, and
+  /// because a broken line carries less weight over data than a continuous one. The dash is a
+  /// fragment discard, never extra geometry, so a dense minor grid costs no more vertices for
+  /// being dashed.
+  f32 grid_minor_dash_on = 3.0f;
+  f32 grid_minor_dash_off = 3.0f;
   f32 line_width_px = 1.5f;        ///< logical width of the strokes framing the data
                                    ///< (axis lines, cursor markers).
   /// Logical half-width of the anti-aliased fringe the line shader blends at

src/plot/axis.cpp

@@ -3,18 +3,32 @@
 
 #include <plot/plot/axis.hpp>
 
+#include <cmath>
+
 namespace plot {
 
 void Axis::format_value(f64 v, char* buf, usize n) const {
+  // The one place a value on this axis becomes text, so the origin is applied here and
+  // everything that goes through it -- tick labels, and the crosshair's readout -- reads in
+  // the same frame of reference as the axis itself.
+  // The subtraction leaves a residue when the value and the origin are the same distant number
+  // (a tick exactly on the origin then formatted as `1.78e-12ms` instead of `0ms`). Snapping it
+  // is a *relative* test, so a genuinely small value on a large axis is not swallowed -- what
+  // this removes is arithmetic dust, not data.
+  f64 shown = v - origin;
+  if (std::fabs(shown) < 1.0e-12 * std::max(1.0, std::fabs(v))) shown = 0.0;
   if (format == TickFormat::Time) {
-    format_time(v, buf, n);
+    format_time(shown, buf, n);
     return;
   }
-  format_si(v, buf, n);
+  format_si(shown, buf, n);
 }
 
 void Axis::refresh(f32 px, f32 min_px, bool include_minors) {
-  generate_ticks(range, px, min_px, ticks, include_minors);
+  // The range first, so a following origin is this frame's edge and not the last one's: the
+  // zero tick then sits exactly on the window start, which is the whole point of asking.
+  if (origin_follows_range) origin = range.min;
+  generate_ticks(range, px, min_px, ticks, include_minors, origin);
   if (format != TickFormat::Time) return;
   // generate_ticks labels with format_si; a time axis relabels its majors here,
   // because the tick generator has no business knowing about a clock -- through the one

src/plot/figure.cpp

@@ -4,6 +4,7 @@
 #include <plot/plot/figure.hpp>
 
 #include <algorithm>
+#include <cstdio>
 #include <cmath>
 #include <cstddef>
 
@@ -277,13 +278,23 @@ bool Figure::place_live_window(XLink& group) {
   // The offset can outlive the window it names: a ring that dropped samples moves
   // the oldest x forward under it, so it is clamped against what the members hold
   // *now* -- measured in the same space, or a log group could hold an offset larger
-  // than everything it retains. An offset past that would put the window's right
-  // edge behind the oldest sample left, i.e. over data that is gone.
+  // than everything it retains.
+  //
+  // The bound is about the whole *window*, not just its right edge -- but only when the window
+  // *can* sit on the data. `retained >= span` is that case, and there the offset may not exceed
+  // `retained - span`: with the loose bound a scroll could put the window's right edge exactly on
+  // the oldest sample, which leaves the entire span to its left over data the scope never had --
+  // an empty margin as wide as the view, reached by a pan or by a zoom-in near that edge. When the
+  // window is *wider* than what the members retain (a ring still filling, or one just trimmed)
+  // nothing can avoid a margin, and the honest placement is the old one: the window's right edge
+  // on the newest sample, the shortfall on the left, which is what a scope that just started
+  // should look like.
   const bool log = !plots_.empty() && plots_.back().x_axis(0u).log;
   const f64 newest_space = to_link_space(live.max, log);
   const f64 retained =
       std::max(0.0, newest_space - to_link_space(live.min, log));
-  group.offset = std::clamp(group.offset, 0.0, retained);
+  const f64 reach = retained >= group.span ? retained - group.span : retained;
+  group.offset = std::clamp(group.offset, 0.0, std::max(0.0, reach));
   group.live_newest = live.max;
   group.has_live = true;
   const f64 right = newest_space - group.offset;

src/plot/plot.cpp

@@ -311,11 +311,45 @@ void Plot::set_cursor_color(u32 id, Color color) {
   cursors_[id].color = color;
 }
 
+void Plot::set_cursor_stroke(u32 id, f32 width, Vec2 dash) {
+  if (id >= cursors_.size()) return;
+  cursors_[id].width = width;
+  cursors_[id].dash = dash;
+}
+
 void Plot::set_cursor_selectable(u32 id, bool selectable) {
   if (id >= cursors_.size()) return;
   cursors_[id].selectable = selectable;
 }
 
+void Plot::set_x_axis_origin(u32 axis, f64 origin) {
+  if (axis >= x_axes_.size()) return;
+  x_axes_[axis].origin = origin;
+}
+
+void Plot::set_y_axis_origin(u32 axis, f64 origin) {
+  if (axis >= y_axes_.size()) return;
+  y_axes_[axis].origin = origin;
+}
+
+void Plot::set_x_axis_origin_from_range(u32 axis, bool on) {
+  if (axis >= x_axes_.size()) return;
+  x_axes_[axis].origin_follows_range = on;
+}
+
+void Plot::set_y_axis_origin_from_range(u32 axis, bool on) {
+  if (axis >= y_axes_.size()) return;
+  y_axes_[axis].origin_follows_range = on;
+}
+
+f64 Plot::x_axis_origin(u32 axis) const {
+  return axis < x_axes_.size() ? x_axes_[axis].origin : 0.0;
+}
+
+f64 Plot::y_axis_origin(u32 axis) const {
+  return axis < y_axes_.size() ? y_axes_[axis].origin : 0.0;
+}
+
 void Plot::set_annotation(u32 id, const Annotation& annotation) {
   if (id >= annotations_.size()) return;
   annotations_[id] = annotation;

src/plot/ticks.cpp

@@ -99,14 +99,34 @@ void format_time(f64 seconds, char* buf, usize n) {
   const f64 t = std::fabs(seconds);
 
   if (t < 1.0) {
-    // Sub-second: milliseconds. The 999.5 cut keeps %.3g out of scientific
-    // notation (it would print "1e+03ms") right below the one-second boundary.
-    const f64 ms = t * 1000.0;
-    if (ms < 999.5) {
-      std::snprintf(buf, n, "%s%.3gms", sign, ms);
-    } else {
-      std::snprintf(buf, n, "%s%.3gs", sign, t);
+    // Sub-second: the prefix that keeps the mantissa in [1, 1000) -- the same rule the SI
+    // formatter uses on a y axis, and the reading a zoomed-in window needs. A fixed
+    // millisecond unit printed `0.005ms` where `5us` is what the axis is showing, and
+    // `1e-05ms` where `10ns` is. The micro sign is the UTF-8 sequence the embedded font has a
+    // glyph for (see `format_si`), not a Latin-1 byte.
+    // Exactly zero carries no unit, the same convention `format_si` states: every prefixed
+    // form of it is "0" with a unit the value does not have.
+    if (t == 0.0) {
+      std::snprintf(buf, n, "0");
+      return;
     }
+    static const struct {
+      f64 scale;
+      const char* unit;
+    } kUnits[] = {
+        {1.0e-3, "ms"},
+        {1.0e-6, "\u00b5s"},
+        {1.0e-9, "ns"},
+        {1.0e-12, "ps"},
+    };
+    for (const auto& u : kUnits) {
+      if (t < u.scale) continue;
+      std::snprintf(buf, n, "%s%.3g%s", sign, t / u.scale, u.unit);
+      return;
+    }
+    // Below a picosecond nothing on a time axis reads in prefixed units; plain seconds keep
+    // the fallback's own precision rather than inventing one.
+    std::snprintf(buf, n, "%s%.3gs", sign, t);
     return;
   }
 
@@ -131,7 +151,8 @@ void format_time(f64 seconds, char* buf, usize n) {
   }
 }
 
-void generate_ticks(Range range, f32 px, f32 min_px, std::vector<Tick>& out, bool include_minors) {
+void generate_ticks(Range range, f32 px, f32 min_px, std::vector<Tick>& out, bool include_minors,
+                    f64 origin) {
   out.clear();
 
   const f64 lo = range.min;
@@ -157,7 +178,10 @@ void generate_ticks(Range range, f32 px, f32 min_px, std::vector<Tick>& out, boo
                                                       : 10.0);
   if (!std::isfinite(step) || !(step > 0.0)) return;  // span so large the step overflowed
 
-  const f64 first_major = std::ceil(lo / step) * step;
+  // The major walk starts on the *origin's* grid: with an origin the ticks a host reads are
+  // round numbers relative to it (0, 0.5ms, 1ms of the window it zoomed into), which is the
+  // whole point of having one. `origin = 0` is the plain absolute grid.
+  const f64 first_major = origin + std::ceil((lo - origin) / step) * step;
   if (!std::isfinite(first_major)) return;
 
   // Minor ticks subdivide the major step: by 4 when the step's leading digit is

src/render/renderer.cpp

@@ -42,15 +42,6 @@ bool fail(Status* st, ErrorCode code, const char* message) noexcept {
 /// clamp, so it lands off-scale rather than as NaN.
 f64 space(f64 v, bool log) noexcept { return log ? Transform::log10_positive(v) : v; }
 
-/// Sample index for a (possibly fractional, possibly non-finite) position in a
-/// series' index space, clamped to [0, n]: NaN and -inf to 0, +inf to n, so a
-/// range the axis cannot map still yields a valid window.
-u64 clamp_index(f64 v, u64 n) noexcept {
-  if (!(v > 0.0)) return 0;
-  if (v >= static_cast<f64>(n)) return n;
-  return static_cast<u64>(v);
-}
-
 /// One ASCII/UTF-8 line of the measurement readout. `format_si` leaves room for
 /// three significant digits plus a prefix and sign.
 constexpr usize kNumberChars = 24;
@@ -807,7 +798,7 @@ void Renderer::draw_grid(const Plot& plot) {
   // to draw rather than being drawn transparent. Majors first, minors over them, as
   // the single group order always did. `LineBatch::clear()` keeps its capacity, so
   // the second pass re-uses the first one's storage.
-  const auto draw_class = [&](bool major, bool visible, Color color, f32 width) {
+  const auto draw_class = [&](bool major, bool visible, Color color, f32 width, Vec2 dash) {
     if (!visible) {
       return;
     }
@@ -817,12 +808,21 @@ void Renderer::draw_grid(const Plot& plot) {
     }
     // Snapped: a grid line is chrome at a round *data* value, and a hairline that
     // straddles two columns reads as a grey smear and shimmers as the view pans.
-    flush_lines(map, color, width, Vec2{}, true);
+    flush_lines(map, color, width, dash, true);
   };
   draw_class(true, style_.grid_major_visible, style_.grid_major,
-             style_.device(style_.grid_major_width));
+             style_.device(style_.grid_major_width), Vec2{});
+  // The minor grid's dash rides the same per-draw uniform the crosshair and a dashed trace use,
+  // and `off == 0` is the solid default. Each line starts its own pattern (the dash distance is
+  // per-segment), and every segment here is built from the range's minimum, so the dashes of the
+  // vertical lines line up with each other -- the grid reads as one texture rather than as a
+  // jumble of unrelated dashes.
+  const Vec2 minor_dash = style_.grid_minor_dash_off > 0.0f
+                              ? Vec2{style_.device(style_.grid_minor_dash_on),
+                                     style_.device(style_.grid_minor_dash_off)}
+                              : Vec2{};
   draw_class(false, style_.grid_minor_visible, style_.grid_minor,
-             style_.device(style_.grid_minor_width));
+             style_.device(style_.grid_minor_width), minor_dash);
 }
 
 // ------------------------------------------------------------- axis chrome
@@ -994,15 +994,26 @@ void Renderer::draw_traces(const Plot& plot, const PlotLayout& layout) {
     const u64 n = series.size();
     if (!(dx > 0.0) || n == 0) continue;
 
-    // Map the visible x range onto sample indices. One sample of slack on each
-    // side covers a partially visible end bucket; the range is clamped to the
-    // series, so a zoomed-out view never asks for more than exists.
+    // The visible x range onto sample indices, through the series' *own* x.
+    //
+    // Not the `(x - x0()) / dx()` grid: `dx()` is documented as a nominal spacing (the LOD
+    // level, a coarse snap) and for a series whose x is a streamed timestamp it is only the
+    // mean of the retained window. Walking that grid lands the window inside the visible range
+    // -- and the first and last *segments*, the ones that enter and leave the frame, are then
+    // not drawn at all, which is the empty margin at both edges of a zoomed-in view. A series
+    // with a uniform x answers the same question through the same call, so this is the one
+    // path. One sample of slack on each side keeps a partially visible end bucket whole, and
+    // the result is clamped to the series: a zoomed-out view never asks for more than exists,
+    // and a window that reaches past the data leaves the margin genuinely -- correctly -- empty.
     const Range x_range = plot.x_range(trace.axis_x);
-    f64 lo = (x_range.min - series.x0()) / dx;
-    f64 hi = (x_range.max - series.x0()) / dx;
-    if (hi < lo) std::swap(lo, hi);
-    const u64 first = clamp_index(std::floor(lo) - 1.0, n);
-    const u64 last = clamp_index(std::ceil(hi) + 1.0, n);
+    // `dx` is still read above for the samples-per-pixel estimate -- a density, where a nominal
+    // spacing is exactly right -- and never for the window itself.
+    u64 first = 0;
+    u64 last = n;
+    u64 i0 = 0;
+    u64 i1 = 0;
+    if (series.neighbours(x_range.min, i0, i1)) first = i0 > 0 ? i0 - 1 : 0;
+    if (series.neighbours(x_range.max, i0, i1)) last = std::min(n, i1 + 1);
     if (last <= first) continue;
 
     // This is the whole performance contract: the window, never the series.
@@ -1017,6 +1028,29 @@ void Renderer::draw_traces(const Plot& plot, const PlotLayout& layout) {
     if (gather_.size() < 4u) continue;  // fewer than two points is no segment
 
     stats_.visible_samples += visible;
+    // Markers for a window sparse enough that its samples are the shape: one dot per raw sample,
+    // in the trace's own colour. Level 0 only -- above it the geometry is *buckets*, which are not
+    // points a reader can find. Drawn after the polyline they sit on, so a dot is never half
+    // covered by its own line, and inside the axes only (a marker is a place, and a place outside
+    // the frame is not one).
+    if (level == 0u && style_.marker_below_samples > 0.0f && visible > 0u &&
+        visible <= static_cast<u64>(style_.marker_below_samples)) {
+      const auto& xt = plot.x_transform(trace.axis_x);
+      const auto& yt = plot.y_transform(trace.axis_y);
+      const f32 half = 0.5f * style_.device(style_.marker_px);
+      for (u32 k = 0; k + 1 < gather_.size(); k += 2) {
+        const f64 x_abs = series.x0() + static_cast<f64>(gather_[k]);
+        const f64 y_abs = static_cast<f64>(gather_[k + 1]);
+        if (!std::isfinite(x_abs) || !std::isfinite(y_abs)) continue;
+        const f32 sx = xt.to_screen_x(x_abs);
+        const f32 sy = yt.to_screen_y(y_abs);
+        if (!(sx >= layout.axes.x && sx <= layout.axes.right() && sy >= layout.axes.y &&
+              sy <= layout.axes.bottom())) {
+          continue;
+        }
+        fill_pixels(Rect{sx - half, sy - half, 2.0f * half, 2.0f * half}, trace.color);
+      }
+    }
     if (level == 0u) {
       ++stats_.raw_traces;
     } else {
@@ -1106,7 +1140,12 @@ void Renderer::draw_cursors(const Plot& plot, const PlotLayout& layout) {
     // belongs to the plot, and `to_screen_y()` of a range maximum can undershoot `axes.y` by
     // a floating-point ulp, which a bare `<` would mistake for "outside". Only the ones
     // beyond that margin are skipped.
-    const f32 half = 0.5f * style_.device(on ? style_.handle_width_px : style_.line_width_px);
+    // The cursor's own width when it has one, else the style's; a hover or a grab can only make
+    // it thicker (the cue that the pointer has hold of something).
+    const f32 own = cursor.width > 0.0f ? style_.device(cursor.width)
+                                       : style_.device(style_.line_width_px);
+    const f32 width = on ? std::max(own, style_.device(style_.handle_width_px)) : own;
+    const f32 half = 0.5f * width;
     if (horizontal ? (at < layout.axes.y - half || at > layout.axes.bottom() + half)
                    : (at < layout.axes.x - half || at > layout.axes.right() + half)) {
       continue;
@@ -1130,15 +1169,13 @@ void Renderer::draw_cursors(const Plot& plot, const PlotLayout& layout) {
       stage_segment(x_range.min, x_range.min, y_drawn, x_range.max, y_drawn, log_x,
                     plot.y_axis(cursor.axis_y).log);
       flush_lines(mapping(plot, 0, cursor.axis_y, x_range.min),
-                  on ? style_.cursor : cursor.color,
-                  style_.device(on ? style_.handle_width_px : style_.line_width_px));
+                  on ? style_.cursor : cursor.color, width, cursor.dash);
     } else {
       const f64 x_drawn = plot.x_transform(cursor.axis_x).to_data_x(static_cast<f64>(drawn));
       stage_segment(x_drawn, x_drawn, y_range.min, x_drawn, y_range.max,
                     plot.x_axis(cursor.axis_x).log, log_y);
       flush_lines(mapping(plot, cursor.axis_x, 0, x_drawn),
-                  on ? style_.cursor : cursor.color,
-                  style_.device(on ? style_.handle_width_px : style_.line_width_px));
+                  on ? style_.cursor : cursor.color, width, cursor.dash);
     }
     draw_cursor_label(plot, layout, cursor, drawn);
   }

tests/test_controller.cpp

@@ -1788,6 +1788,47 @@ PLOT_TEST(a_middle_drag_on_a_figures_bottom_row_zooms_the_shared_x_axis) {
 // pointer) rather than on the live edge, and the window walked back off the newest sample
 // by a fifth of its width. These two cases pin the fix from the two ends: the gesture keeps
 // the edge, and the hint that makes it possible exists exactly while a group follows.
+/// A following group's window stays **on the data**: the offset bound is `retained - span`, not
+/// `retained`. With the loose bound, scrolling back put the window's *right* edge on the oldest
+/// retained sample, which leaves the window's whole span to its left over data the scope never
+/// had -- an empty margin as wide as the view, reached by a pan or by a zoom-in near that edge.
+/// That is the "sometimes zooming in, the left or right margin becomes empty" report, and it is
+/// why the bound has to be about the window and not about one edge of it.
+PLOT_TEST(a_following_group_keeps_its_whole_window_on_the_data) {
+  plot::data::StreamSeries series(1u << 12, 0.0, 1.0 / 1000.0);
+  plot::f32 samples[512];
+  for (u32 i = 0; i < 512u; ++i) samples[i] = static_cast<plot::f32>(i % 7u);
+  series.push(samples, 512u);
+  series.acquire();
+
+  plot::Figure figure(1u);
+  figure.set_viewport({0.0f, 0.0f, 800.0f, 600.0f});
+  figure.plot(0u).add_x_axis({"t", {0.0, 1.0}, false, plot::AxisPlace::Bottom, false});
+  figure.plot(0u).add_y_axis({"v", {-1.0, 1.0}, false, plot::AxisPlace::Left, false});
+  figure.plot(0u).add_trace({&series, plot::Color::hex(0x4FA3FF), 1.5f, 0u, 0u, "s"});
+  const u32 group = figure.add_x_link();
+  PLOT_CHECK(figure.link_x(0u, group));
+  PLOT_CHECK(figure.set_x_link_range(group, {0.0, 0.25}));
+  PLOT_CHECK(figure.set_x_link_follow(group, plot::XFollow::Live));
+  figure.layout();
+
+  const plot::Range data = series.x_bounds();
+  const f64 span = figure.x_link_range(group).span();
+  PLOT_CHECK(span > 0.0);
+  // Ask to scroll far past the oldest sample, the way a drag or a zoom-in near the left edge does.
+  PLOT_CHECK(figure.set_x_link_range(group, {data.min - 10.0 * span, data.min - 9.0 * span}));
+  figure.layout();
+
+  const plot::Range after = figure.x_link_range(group);
+  std::printf("[follow-bound] data=[%.4f..%.4f] span=%.4f after=[%.4f..%.4f]\n", data.min,
+              data.max, span, after.min, after.max);
+  // The window is still a window, and its *left* edge is on the data: that is the assertion the
+  // loose bound failed, where `after.min` came out a whole span below `data.min`.
+  PLOT_CHECK_NEAR(after.span(), span, 1e-9 * span);
+  PLOT_CHECK(after.min >= data.min - 1e-9);
+  PLOT_CHECK(after.max <= data.max + 1e-9);
+}
+
 PLOT_TEST(a_wheel_on_a_following_figures_axis_strip_keeps_the_live_edge) {
   constexpr u32 kFigureRows = 3u;
   constexpr f64 kWheelDx = 1.0 / 1000.0;

tests/test_figure.cpp

@@ -844,20 +844,29 @@ PLOT_TEST(a_following_log_group_holds_decades) {
 
   // A member panned while the group follows: the adopted scroll state is the
   // adopted range's span *in decades* -- two here (edge/1000 to edge/10 is a
-  // factor of 100) -- and the offset one decade behind the edge, both of which
-  // survive the next frames' advances.
+  // factor of 100) -- and the offset as far behind the edge as the retained data
+  // allows, both of which survive the next frames' advances.
+  //
+  // The pan *asks* for a full decade back, and the group may not take it: the offset is bounded by
+  // `retained - span`, so the window stops with its left edge on the oldest sample. Asserting
+  // `max == edge/10` here was asserting the *old* bound, which put a whole span of the window over
+  // data the members never held -- the empty-left-margin defect this bound exists for. The
+  // log-space assertions above are this test's subject and are unchanged.
   const plot::f64 edge = left.x_bounds().max;
   figure.plot(1u).set_x_range(0u, {edge / 1000.0, edge / 10.0});
   figure.layout();
   PLOT_CHECK_NEAR(decades_of(figure.plot(0u)), 2.0, 1e-9);
   PLOT_CHECK_NEAR(decades_of(figure.plot(1u)), 2.0, 1e-9);
-  PLOT_CHECK_NEAR(figure.plot(0u).x_range(0u).max, edge / 10.0, 1e-8);
+  const plot::f64 oldest = std::min(left.x_bounds().min, right.x_bounds().min);
+  PLOT_CHECK(figure.plot(0u).x_range(0u).min >= oldest - 1e-6);
+  PLOT_CHECK(figure.plot(0u).x_range(0u).max <= edge + 1e-6);
   for (int step = 0; step < 3; ++step) {
     left.push(0.5f);
     left.acquire();
     figure.layout();
     PLOT_CHECK_NEAR(decades_of(figure.plot(0u)), 2.0, 1e-9);
     PLOT_CHECK_NEAR(decades_of(figure.plot(1u)), 2.0, 1e-9);
+    PLOT_CHECK(figure.plot(0u).x_range(0u).min >= oldest - 1e-6);
   }
   PLOT_CHECK(figure.x_link_follow(group) == plot::XFollow::Live);
 }

tests/test_render_smoke.cpp

@@ -695,6 +695,125 @@ PLOT_TEST(renders_visible_trace_across_viewport) {
   ctx.destroy();
 }
 
+/// A series whose `dx()` understates its spacing.
+///
+/// That is every ring-backed series: x is a streamed timestamp, so `dx()` is only a nominal
+/// grid (an LOD level, a coarse snap) while `x_at()`/`neighbours()` answer from the real time
+/// ring. The samples here sit ten apart and `dx()` claims one, with the plotted window
+/// `[12, 18]` falling strictly *between* two of them -- no sample is inside the window at all,
+/// so the only way to light its margins is the segment that crosses them.
+class LyingGridSeries final : public plot::data::Series {
+ public:
+  LyingGridSeries() {
+    pyramid_.reserve(kN);
+    for (u64 i = 0; i < kN; ++i) pyramid_.append(kY);
+  }
+
+  u64 size() const override { return kN; }
+  f64 x0() const override { return 0.0; }
+  f64 dx() const override { return 1.0; }  // the lie: the real spacing is x_at()'s ten
+  plot::Range x_bounds() const override { return {0.0, x_at(kN - 1u)}; }
+  plot::Range y_bounds() const override { return {kY, kY}; }
+  const plot::data::MinMaxPyramid& pyramid() const override { return pyramid_; }
+  f64 x_at(u64 i) const override { return 10.0 * static_cast<f64>(i); }
+  bool neighbours(f64 x, u64& i0, u64& i1) const override {
+    if (x < 0.0 || x > x_at(kN - 1u)) return false;
+    i0 = static_cast<u64>(x / 10.0);
+    i1 = i0;
+    if (x_at(i0) != x && i0 + 1u < kN) i1 = i0 + 1u;
+    return true;
+  }
+  void gather(u32, u64 begin, u64 end, std::vector<f32>& out,
+              plot::data::GatherMode) const override {
+    ++gather_calls_;
+    for (u64 i = begin; i < end; ++i) {
+      out.push_back(static_cast<f32>(x_at(i) - x0()));
+      out.push_back(kY);
+    }
+  }
+
+  u64 gather_calls() const noexcept { return gather_calls_; }
+
+ protected:
+  void copy_raw(u64 begin, u64 end, f32* out) const override {
+    for (u64 i = begin; i < end; ++i) out[i - begin] = kY;
+  }
+
+ private:
+  static constexpr u64 kN = 5u;
+  static constexpr f32 kY = 1.0f;
+  plot::data::MinMaxPyramid pyramid_;
+  mutable u64 gather_calls_ = 0;
+};
+
+/// The window falls between two samples: the trace must still be drawn to both margins.
+///
+/// Found by zooming in: the renderer mapped the visible x range onto sample indices with
+/// `(x - x0()) / dx()`, and on a series whose `dx()` is nominal that lands *inside* the visible
+/// range -- here it lands past the end of a five-sample series entirely, so `last <= first` and
+/// the frame held no trace at all. The segment entering the window from the sample before it and
+/// leaving to the one after are what draw the margins, and a series answers where they are
+/// through `neighbours()`, over its own x.
+PLOT_TEST(a_sparse_window_between_samples_still_inks_both_margins) {
+  plottest::HeadlessContext ctx(kW, kH);
+  plot::Status st;
+  PLOT_CHECK(ctx.create(&st));
+  PLOT_CHECK(plot::gl::load(nullptr));
+
+  plot::Renderer r;
+  PLOT_CHECK(r.init(&st));
+
+  LyingGridSeries s;
+  plot::Plot p;
+  p.set_viewport({0, 0, static_cast<plot::f32>(kW), static_cast<plot::f32>(kH)});
+  // `auto_scale` off on both: the window has to be the one the test names, or the axis takes
+  // the series' own bounds and the window falls outside the frame -- a test of nothing.
+  const plot::u32 ax = p.add_x_axis({"t", {12.0, 18.0}, false, plot::AxisPlace::Bottom, false});
+  const plot::u32 ay = p.add_y_axis({"v", {-1.0, 3.0}, false, plot::AxisPlace::Left, false});
+  p.add_trace({&s, plot::Color::hex(0x40C0FF), 1.5f, ax, ay});
+
+  r.begin_frame(kW, kH, {0, 0, static_cast<plot::f32>(kW), static_cast<plot::f32>(kH)});
+  r.draw(p);
+  r.end_frame();
+  dump_if_requested(r, "margins.ppm");
+
+  const plot::Rect a = p.layout().axes;
+  // The window's own evidence: the samples that bracket it are sampled even though neither is
+  // inside it, and the reverted grid walk staged *none* (`(12 - 0) / 1` is past the end of a
+  // five-sample series, so `last <= first` and the frame held no trace at all).
+  const plot::Range drawn_x = p.x_range(ax);
+  const plot::u32 covered = covered_columns(ctx, a, 24);
+  std::printf("[margins] window=[%.3f..%.3f] axes=[%.1f %.1f %.1f %.1f] visible=%llu "
+              "raw=%llu lod=%llu segments=%llu gathers=%llu trace_visible=%d covered=%u/24\n",
+              drawn_x.min, drawn_x.max, a.x, a.y, a.w, a.h,
+              static_cast<unsigned long long>(r.stats().visible_samples),
+              static_cast<unsigned long long>(r.stats().raw_traces),
+              static_cast<unsigned long long>(r.stats().lod_traces),
+              static_cast<unsigned long long>(r.stats().staged_segments),
+              static_cast<unsigned long long>(s.gather_calls()), int(p.trace(0).visible()),
+              covered);
+  PLOT_CHECK(r.stats().visible_samples >= 2u);
+  PLOT_CHECK(covered == 24u);
+  PLOT_CHECK(covered_columns(ctx, a, 24) == 24); // every column, margins included
+
+  // The margins by name, on the line's own row: the reported symptom was these two being blank
+  // while the middle drew. `y = 1` in the window `[-1, 3]` is the middle row of the band.
+  const plot::u32 row = static_cast<plot::u32>(a.y + a.h / 2.0f);
+  for (const plot::u32 x : {static_cast<plot::u32>(a.x) + 1u,
+                            static_cast<plot::u32>(a.x + a.w) - 2u}) {
+    bool inked = false;
+    for (plot::u32 dy = 0; dy < 4u && !inked; ++dy) {
+      plot::u8 px[4] = {};
+      PLOT_CHECK(ctx.read_pixel(x, ctx.height - 1u - (row + dy), px));
+      inked = trace_pixel(px);
+    }
+    PLOT_CHECK(inked);
+  }
+
+  PLOT_CHECK(!r.last_frame_had_gl_error());
+  ctx.destroy();
+}
+
 PLOT_TEST(dense_and_sparse_paths_agree_on_extent) {
   plottest::HeadlessContext ctx(kW, kH);
   plot::Status st;
@@ -1031,6 +1150,326 @@ PLOT_TEST(draws_cursors_measure_band_and_annotations) {
 // No trace and no minor grid, so the only thing drawn inside the rect is the major
 // grid and the one colour it is drawn in; the rect is inset so the axis lines on
 // its own edges, which are a different colour, stay out of the scan.
+/// The minor grid is a *subdivision*, and the style says so three ways: thinner, dashed and
+/// blended into the background. Found by reading a frame whose minor grid read as a second set
+/// of ticks -- at full opacity and the same width as the labelled grid there was no hierarchy
+/// to see.
+///
+/// The frame holds no trace, so inside `axes` the only elements are the two grid classes and
+/// the background. A row off the horizontal lines then classifies every column by inspection:
+/// background, an opaque major line (`pixel_is`, the same exactness `grid_hairlines_land_on_whole_pixels`
+/// leans on), or the minor's blend -- which at these defaults is the only non-background pixel
+/// in the frame that is neither. Width is checked as *coverage* rather than as a pixel count,
+/// because at 1x a sub-pixel logical width is exactly a dimmer stroke: the ink is one column
+/// either way, so `grid_minor_width` can only show up in how brightly that column is lit. On a
+/// HiDPI display the same width is literally narrower.
+PLOT_TEST(the_minor_grid_is_thinner_dashed_and_dimmer_than_the_major) {
+  plottest::HeadlessContext ctx(kW, kH);
+  plot::Status st;
+  PLOT_CHECK(ctx.create(&st));
+  PLOT_CHECK(plot::gl::load(nullptr));
+  plot::Renderer r;
+  PLOT_CHECK(r.init(&st));
+  PLOT_CHECK(r.style().grid_minor_visible);
+  PLOT_CHECK(r.style().grid_minor_dash_off > 0.0f);  // the default is a dash, not a solid line
+
+  plot::Plot p;
+  p.set_viewport({0, 0, static_cast<plot::f32>(kW), static_cast<plot::f32>(kH)});
+  p.add_x_axis({"seconds", {0.0, 10.0}, false, plot::AxisPlace::Bottom, false});
+  p.add_y_axis({"volts", {-1.0, 1.0}, false, plot::AxisPlace::Left, false});
+
+  r.begin_frame(kW, kH, {0, 0, static_cast<plot::f32>(kW), static_cast<plot::f32>(kH)});
+  r.draw(p);
+  r.end_frame();
+  PLOT_CHECK(!r.last_frame_had_gl_error());
+
+  const plot::Rect& a = p.layout().axes;
+  const plot::Color bg = r.style().background;
+  const plot::Color major = r.style().grid_major;
+  // Distance from the background, per channel, so "dimmer" means "closer to the background"
+  // whatever the two colours are.
+  const auto bg_distance = [&](const plot::u8 px[4]) {
+    const auto d = [](plot::u8 v, plot::f32 want) {
+      return std::abs(static_cast<int>(v) - static_cast<int>(want * 255.0f + 0.5f));
+    };
+    return d(px[0], bg.r) + d(px[1], bg.g) + d(px[2], bg.b);
+  };
+
+  // The row: the first one that holds all three kinds of pixel, so it is neither a horizontal
+  // grid line (everything major ink) nor a band the layout reserved for something else.
+  const plot::u32 first_row = static_cast<plot::u32>(a.y) + 3u;
+  const plot::u32 last_row = static_cast<plot::u32>(a.y + a.h) - 4u;
+  std::vector<plot::u32> major_cols;
+  std::vector<plot::u32> minor_cols;
+  plot::u32 scan_row = 0;
+  for (plot::u32 row = first_row; row < last_row; ++row) {
+    major_cols.clear();
+    minor_cols.clear();
+    plot::u32 background = 0;
+    for (plot::u32 cx = static_cast<plot::u32>(a.x) + 3u;
+         cx + 3u < static_cast<plot::u32>(a.x + a.w); ++cx) {
+      plot::u8 px[4] = {};
+      PLOT_CHECK(ctx.read_pixel(cx, ctx.height - 1u - row, px));
+      if (pixel_is(px, bg)) {
+        ++background;
+      } else if (pixel_is(px, major)) {
+        major_cols.push_back(cx);
+      } else {
+        minor_cols.push_back(cx);
+      }
+    }
+    if (background > 0u && !major_cols.empty() && !minor_cols.empty()) {
+      scan_row = row;
+      break;
+    }
+  }
+  PLOT_CHECK(scan_row != 0u);  // a row carrying both grid classes and the background
+  PLOT_CHECK(major_cols.size() >= 2u);
+  PLOT_CHECK(minor_cols.size() >= 2u);
+
+  // Solid against dashed, down the two columns: a major line is ink at every row, a minor one
+  // alternates -- which is the whole of "dashed" a pixel test can see. The duty cycle is
+  // checked as a range rather than as the exact 3/3 the style asks for, because the dash is a
+  // fragment discard and its ends land where they land.
+  const auto column_ink = [&](plot::u32 cx, plot::u32& ink, plot::u32& gaps) {
+    ink = 0;
+    gaps = 0;
+    for (plot::u32 row = first_row; row < last_row; ++row) {
+      plot::u8 px[4] = {};
+      PLOT_CHECK(ctx.read_pixel(cx, ctx.height - 1u - row, px));
+      if (pixel_is(px, bg)) {
+        ++gaps;
+      } else {
+        ++ink;
+      }
+    }
+  };
+  plot::u32 ink = 0;
+  plot::u32 gaps = 0;
+  column_ink(major_cols.front(), ink, gaps);
+  PLOT_CHECK(gaps == 0u);  // the labelled grid is continuous
+  const plot::u32 major_ink = ink;
+
+  column_ink(minor_cols.front(), ink, gaps);
+  PLOT_CHECK(ink > 0u && gaps > 0u);                      // dashed, not solid
+  PLOT_CHECK(ink * 5u > major_ink && gaps * 5u > major_ink);  // roughly half on, half off
+
+  // Dimmer: the minor's ink sits closer to the background than the major's. This is also the
+  // "thinner" half of the contract at 1x -- see the note above the test.
+  const auto ink_distance = [&](plot::u32 cx) {
+    int best = 0;
+    for (plot::u32 row = first_row; row < last_row; ++row) {
+      plot::u8 px[4] = {};
+      PLOT_CHECK(ctx.read_pixel(cx, ctx.height - 1u - row, px));
+      if (pixel_is(px, bg)) continue;
+      best = std::max(best, bg_distance(px));
+    }
+    return best;
+  };
+  const int major_bright = ink_distance(major_cols.front());
+  const int minor_bright = ink_distance(minor_cols.front());
+  PLOT_CHECK(minor_bright > 0);
+  PLOT_CHECK(minor_bright < major_bright);
+  ctx.destroy();
+}
+
+/// A cursor's stroke is its own: a host that places *readout marks* on the data -- a measured
+/// level, a peak, a pulse's edges -- wants them lighter and broken, so they read as annotations
+/// over the data rather than as more chrome around it. Two cursors in one frame, one default and
+/// one given a thin dashed stroke, so the comparison is in the same pixels: the dashed column
+/// alternates ink and gap down its length while the solid one does not, and its ink sits closer
+/// to the background, which at 1x is what a sub-pixel logical width *is*.
+PLOT_TEST(a_cursor_stroke_can_be_thinner_and_dashed) {
+  plottest::HeadlessContext ctx(kW, kH);
+  plot::Status st;
+  PLOT_CHECK(ctx.create(&st));
+  PLOT_CHECK(plot::gl::load(nullptr));
+  plot::Renderer r;
+  PLOT_CHECK(r.init(&st));
+
+  plot::Plot p;
+  p.set_viewport({0, 0, static_cast<plot::f32>(kW), static_cast<plot::f32>(kH)});
+  p.add_x_axis({"t", {0.0, 10.0}, false, plot::AxisPlace::Bottom, false});
+  p.add_y_axis({"v", {-1.0, 1.0}, false, plot::AxisPlace::Left, false});
+  // Green: no other element of this frame is green-dominant (the grid is grey-dark and the axis
+  // line is chalk), so the predicate below can only find these two cursors.
+  const plot::Color ink = plot::Color::hex(0x00FF00);
+  p.add_cursor(3.0, ink);
+  const plot::u32 thin = p.add_cursor(7.0, ink);
+  p.set_cursor_snap(thin, plot::SnapMode::Free);
+  p.set_cursor_stroke(thin, 0.75f, plot::Vec2{3.0f, 3.0f});
+
+  r.begin_frame(kW, kH, {0, 0, static_cast<plot::f32>(kW), static_cast<plot::f32>(kH)});
+  r.draw(p);
+  r.end_frame();
+  PLOT_CHECK(!r.last_frame_had_gl_error());
+
+  const plot::Rect& a = p.layout().axes;
+  const plot::Color bg = r.style().background;
+  const auto px_at = [&](plot::u32 cx, plot::u32 cy, plot::u8 px[4]) {
+    return ctx.read_pixel(cx, ctx.height - 1u - cy, px);
+  };
+  const auto bg_distance = [&](const plot::u8 px[4]) {
+    const auto d = [](plot::u8 v, plot::f32 want) {
+      return std::abs(static_cast<int>(v) - static_cast<int>(want * 255.0f + 0.5f));
+    };
+    return d(px[0], bg.r) + d(px[1], bg.g) + d(px[2], bg.b);
+  };
+  // The two cursor columns, as the *centre of each run* of green columns: a stroke with an
+  // anti-aliased edge covers two or three columns, so taking the first two hits found one cursor
+  // twice (238 and 239) and never looked at the other -- which is how this test first reported
+  // "neither is dashed" with both columns' ink identical.
+  plot::u32 cols[2] = {0u, 0u};
+  plot::u32 run_from[2] = {0u, 0u};
+  plot::u32 run_to[2] = {0u, 0u};
+  int found = 0;
+  bool in_run = false;
+  plot::u32 run_start = 0;
+  const auto close_run = [&](plot::u32 end_column) {
+    if (found >= 2) return;
+    cols[found] = (run_start + end_column) / 2u;
+    run_from[found] = run_start;
+    run_to[found] = end_column;
+    ++found;
+  };
+  for (plot::u32 cx = static_cast<plot::u32>(a.x); cx < static_cast<plot::u32>(a.x + a.w); ++cx) {
+    bool green = false;
+    for (plot::u32 row = static_cast<plot::u32>(a.y) + 4u;
+         row < static_cast<plot::u32>(a.y + a.h) - 4u && !green; ++row) {
+      plot::u8 px[4] = {};
+      PLOT_CHECK(px_at(cx, row, px));
+      green = green_pixel(px);
+    }
+    if (green && !in_run) {
+      in_run = true;
+      run_start = cx;
+    } else if (!green && in_run) {
+      in_run = false;
+      close_run(cx - 1u);
+    }
+  }
+  if (in_run) close_run(static_cast<plot::u32>(a.x + a.w) - 1u);
+  PLOT_CHECK(found == 2);
+  plot::u32 ink_rows[2] = {0u, 0u};
+  plot::u32 gap_rows[2] = {0u, 0u};
+  // The ink each stroke lays down, summed over its whole run of columns: a cursor is a *data*
+  // position and so is deliberately not snapped, so which columns (and how brightly) a stroke
+  // covers depends on where its coordinate falls between pixels. Comparing one column's peak made
+  // the *solid* stroke look lighter than the thin one, because its ink happened to split across
+  // two columns. What is asked here is the thing the style states: less ink per unit length.
+  long long total_ink[2] = {0, 0};
+  for (int c = 0; c < 2; ++c) {
+    for (plot::u32 cx = run_from[c]; cx <= run_to[c]; ++cx) {
+      for (plot::u32 row = static_cast<plot::u32>(a.y) + 4u;
+           row < static_cast<plot::u32>(a.y + a.h) - 4u; ++row) {
+        plot::u8 px[4] = {};
+        PLOT_CHECK(px_at(cx, row, px));
+        if (green_pixel(px)) {
+          if (cx == cols[c]) ++ink_rows[c];
+          total_ink[c] += bg_distance(px);
+        } else if (pixel_is(px, bg) && cx == cols[c]) {
+          ++gap_rows[c];
+        }
+      }
+    }
+  }
+  std::printf("[cursor-stroke] solid x=%u [%u..%u] ink=%u gaps=%u total=%lld; "
+              "thin x=%u [%u..%u] ink=%u gaps=%u total=%lld\n",
+              cols[0], run_from[0], run_to[0], ink_rows[0], gap_rows[0], total_ink[0], cols[1],
+              run_from[1], run_to[1], ink_rows[1], gap_rows[1], total_ink[1]);
+  PLOT_CHECK(gap_rows[0] == 0u);  // the default stroke is continuous
+  PLOT_CHECK(ink_rows[1] > 0u && gap_rows[1] > 0u);  // the custom one is dashed
+  PLOT_CHECK(total_ink[1] < total_ink[0]);           // and lays down less ink
+  ctx.destroy();
+}
+
+/// A window sparse enough that its samples *are* the shape gets a marker on each one. Ten samples
+/// across a panel are places a reader counts, and the polyline between them is not the shape any
+/// more; a hundred are a curve and the markers would be noise, which is what the threshold is for.
+/// The test reads the vertical run of trace-coloured pixels per column: a marker is `marker_px`
+/// across, so at a sample's own column the run is taller than the line, and at a midpoint it is
+/// the line alone. The dense case proves the second half -- same series shape, no column taller
+/// than the stroke.
+PLOT_TEST(a_sparse_window_marks_its_samples) {
+  plottest::HeadlessContext ctx(kW, kH);
+  plot::Status st;
+  PLOT_CHECK(ctx.create(&st));
+  PLOT_CHECK(plot::gl::load(nullptr));
+  plot::Renderer r;
+  PLOT_CHECK(r.init(&st));
+  PLOT_CHECK(r.style().marker_below_samples >= 50.0f);  // the default is the spec's 50
+
+  const auto run_at = [&](plot::Plot& p, const plot::Rect& a) {
+    const plot::u32 first_row = static_cast<plot::u32>(a.y);
+    const plot::u32 rows = static_cast<plot::u32>(a.h);
+    std::vector<plot::u32> tall;
+    for (plot::u32 cx = static_cast<plot::u32>(a.x);
+         cx < static_cast<plot::u32>(a.x + a.w); ++cx) {
+      plot::u32 best = 0;
+      plot::u32 run = 0;
+      for (plot::u32 yy = 0; yy < rows; ++yy) {
+        plot::u8 px[4] = {};
+        PLOT_CHECK(ctx.read_pixel(cx, ctx.height - 1u - (first_row + yy), px));
+        if (green_pixel(px)) {
+          ++run;
+          best = std::max(best, run);
+        } else {
+          run = 0;
+        }
+      }
+      if (best >= 3u) tall.push_back(cx);
+    }
+    (void)p;
+    return tall;
+  };
+  // The dots *group*: a marker is `marker_px` wide, so it spans several adjacent columns. What
+  // identifies one is a run of tall columns, exactly as a cursor's stroke spans two -- the first
+  // version of this test counted columns and read three markers per sample.
+  const auto groups = [](const std::vector<plot::u32>& cols) {
+    std::vector<plot::u32> centres;
+    for (std::size_t i = 0; i < cols.size();) {
+      std::size_t j = i;
+      while (j + 1 < cols.size() && cols[j + 1] == cols[j] + 1u) ++j;
+      centres.push_back((cols[i] + cols[j]) / 2u);
+      i = j + 1;
+    }
+    return centres;
+  };
+
+  // Ten samples, a flat line: every sample is a place, and none of them is a bend.
+  const auto sparse = [&](plot::u32 samples, const char* what) {
+    std::vector<plot::f32> y(samples, 0.25f);
+    const plot::data::ArraySeries series(y, 0.0, 10.0 / static_cast<plot::f64>(samples));
+    plot::Plot p;
+    p.set_viewport({0, 0, static_cast<plot::f32>(kW), static_cast<plot::f32>(kH)});
+    const plot::u32 ax = p.add_x_axis({"t", {0.0, 10.0}, false, plot::AxisPlace::Bottom, false});
+    const plot::u32 ay = p.add_y_axis({"v", {-1.0, 1.0}, false, plot::AxisPlace::Left, false});
+    p.add_trace({&series, plot::Color::hex(0x00FF00), 1.5f, ax, ay});
+    r.begin_frame(kW, kH, {0, 0, static_cast<plot::f32>(kW), static_cast<plot::f32>(kH)});
+    r.draw(p);
+    r.end_frame();
+    PLOT_CHECK(!r.last_frame_had_gl_error());
+    const std::vector<plot::u32> tall = run_at(p, p.layout().axes);
+    const std::vector<plot::u32> centres = groups(tall);
+    std::printf("[markers] %s: %zu columns, %zu groups, visible=%llu\n", what, tall.size(),
+                centres.size(), static_cast<unsigned long long>(r.stats().visible_samples));
+    return centres;
+  };
+
+  const std::vector<plot::u32> ten = sparse(10u, "10 samples");
+  PLOT_CHECK(ten.size() == 10u);  // one marker per sample
+  // ... and at the samples: ten of them across the panel, evenly spaced. This is the assertion
+  // that says the dots are *the samples* and not something the style happened to paint.
+  const double step = static_cast<double>(ten.back() - ten.front()) / 9.0;
+  for (std::size_t i = 1; i < ten.size(); ++i) {
+    PLOT_CHECK_NEAR(static_cast<double>(ten[i] - ten[i - 1]), step, 2.0);
+  }
+  // A hundred samples: the same shape, past the threshold, and no group is a dot.
+  const std::vector<plot::u32> hundred = sparse(100u, "100 samples");
+  PLOT_CHECK(hundred.size() <= 5u);
+  ctx.destroy();
+}
+
 PLOT_TEST(grid_hairlines_land_on_whole_pixels) {
   plottest::HeadlessContext ctx(kW, kH);
   plot::Status st;
@@ -3177,6 +3616,20 @@ plot::f32 window_ink(const GridFrame& f, const plot::Rect& window, plot::Color b
   return ink;
 }
 
+/// The ink one minor line is expected to leave in a `kWindowRows`-tall window, **from the
+/// style**: its width in device pixels, its colour's alpha (the line shader multiplies it in)
+/// and the dash's duty cycle. Written out rather than as a literal, because the minor class'
+/// defaults are deliberately a fraction of a solid opaque line -- a threshold saying "most of
+/// eight rows" stopped describing the class the moment it gained a dash, while it is the style
+/// that says how much ink a class is *meant* to leave.
+plot::f32 minor_line_ink(const plot::render::Style& style) {
+  const plot::f32 duty =
+      style.grid_minor_dash_off > 0.0f
+          ? style.grid_minor_dash_on / (style.grid_minor_dash_on + style.grid_minor_dash_off)
+          : 1.0f;
+  return kWindowRows * style.device(style.grid_minor_width) * style.grid_minor.a * duty;
+}
+
 }  // namespace
 
 /// Spec §11's per-class switch, on the minor class: a class the style switches off is
@@ -3206,10 +3659,12 @@ PLOT_TEST(disabling_the_minor_grid_removes_its_colour) {
   const GridWindows win = grid_windows(both);
   const plot::f32 major_before = window_ink(both, win.major, bg, major_ink);
   const plot::f32 minor_before = window_ink(both, win.minor, bg, minor_ink);
-  // A line, not one stray fringe pixel: an 8-row window over a 1 px stroke holds about
-  // 8 px of ink per class, and this asks for most of it.
+  // A line, not one stray fringe pixel: an 8-row window over a stroke holds most of the ink
+  // that stroke is meant to leave. For the major class that is the window's own height; for the
+  // minor class it is what its width, alpha and dash ask for, so the threshold follows the
+  // style instead of a literal the class is no longer drawn to.
   PLOT_CHECK(major_before > 0.75f * kWindowRows);
-  PLOT_CHECK(minor_before > 0.75f * kWindowRows);
+  PLOT_CHECK(minor_before > 0.75f * minor_line_ink(r.style()));
 
   r.style().grid_minor_visible = false;
   const GridFrame without = draw_grid_scene(ctx, r, 1.0f);
@@ -3256,7 +3711,7 @@ PLOT_TEST(disabling_the_major_grid_leaves_the_minor_grid) {
   const plot::f32 major_before = window_ink(both, win.major, bg, r.style().grid_major);
   const plot::f32 minor_before = window_ink(both, win.minor, bg, r.style().grid_minor);
   PLOT_CHECK(major_before > 0.75f * kWindowRows);
-  PLOT_CHECK(minor_before > 0.75f * kWindowRows);
+  PLOT_CHECK(minor_before > 0.75f * minor_line_ink(r.style()));
 
   r.style().grid_major_visible = false;
   const GridFrame without = draw_grid_scene(ctx, r, 1.0f);
@@ -3345,6 +3800,12 @@ PLOT_TEST(grid_widths_are_per_class_and_scale_with_dpi) {
   r.style().grid_major_width = 2.0f;
   r.style().grid_minor_width = 1.0f;
 
+  // Widths are this test's subject, so the minor class' dash and alpha are stated away first:
+  // they would multiply every count and the ratio below, and their own defaults are the subject
+  // of `the_minor_grid_is_thinner_dashed_and_dimmer_than_the_major`.
+  r.style().grid_minor_dash_off = 0.0f;
+  r.style().grid_minor = plot::Color::hex(0x1C2126);
+
   const GridFrame one = draw_grid_scene(ctx, r, 1.0f);
   const GridWindows win = grid_windows(one);
   const plot::f32 major_1x = window_ink(one, win.major, bg, r.style().grid_major);
@@ -5217,9 +5678,10 @@ plot::i32 densest_column(const std::vector<plot::u8>& frame, plot::u32 fb_w, plo
   return best;
 }
 
-/// The grid *majors* (0x2A3038 over the 0x101418 background), which no other element of these
-/// frames reaches: the minors are 0x1C2126 (too dark for the bound), the crosshair is near-white,
-/// a trace is saturated and the cursor is the orange accent.
+/// The grid *majors* (0x39414C over the 0x101418 background), which no other element of these
+/// frames reaches: the minors are that same colour at 50% alpha over a 0.75-covered dashed
+/// stroke, so their brightest pixel is about 15 levels off the background and stays under this
+/// bound; the crosshair is near-white, a trace is saturated and the cursor is the orange accent.
 bool grid_pixel(const plot::u8 px[4]) {
   const plot::u8 lo = std::min(px[0], std::min(px[1], px[2]));
   const plot::u8 hi = std::max(px[0], std::max(px[1], px[2]));

tests/test_ticks.cpp

@@ -2,6 +2,7 @@
 // SPDX-FileCopyrightText: 2026 Martino Ferrari
 
 #include "harness.hpp"
+#include <plot/plot.hpp>
 #include <plot/plot/ticks.hpp>
 #include <cmath>
 #include <cstdlib>
@@ -235,6 +236,11 @@ PLOT_TEST(si_labels_are_utf8_and_never_overrun) {
 PLOT_TEST(format_time_shapes) {
   char b[32];
   plot::format_time(0.5, b, sizeof b);      PLOT_CHECK(std::string(b) == "500ms");
+  plot::format_time(0.005, b, sizeof b);    PLOT_CHECK(std::string(b) == "5ms");
+  plot::format_time(0.0005, b, sizeof b);   PLOT_CHECK(std::string(b) == "500\u00b5s");
+  plot::format_time(5.0e-6, b, sizeof b);   PLOT_CHECK(std::string(b) == "5\u00b5s");
+  plot::format_time(5.0e-9, b, sizeof b);   PLOT_CHECK(std::string(b) == "5ns");
+  plot::format_time(5.0e-12, b, sizeof b);  PLOT_CHECK(std::string(b) == "5ps");
   plot::format_time(1.5, b, sizeof b);      PLOT_CHECK(std::string(b) == "1.5s");
   plot::format_time(90.0, b, sizeof b);     PLOT_CHECK(std::string(b) == "1:30");
   plot::format_time(3661.0, b, sizeof b);   PLOT_CHECK(std::string(b) == "1:01:01");
@@ -268,3 +274,79 @@ PLOT_TEST(format_time_never_lets_a_field_reach_its_radix) {
     check_no_field_reaches_its_radix(label);
   }
 }
+
+// An axis origin shifts what the labels *say* and which grid the ticks sit on: a window
+// zoomed into 12.345 s must read `0, 0.5ms, 1ms` against its own left edge, because three
+// significant digits cannot tell 12.345671 s from 12.345672 s. A host prints the origin once
+// beside the axis and the user adds.
+PLOT_TEST(ticks_are_written_relative_to_an_axis_origin) {
+  // The same window twice: absolute, and relative to its own start.
+  const plot::Range window{12.345, 12.346};
+  std::vector<plot::Tick> absolute;
+  plot::generate_ticks(window, 400.0f, 80.0f, absolute, /*include_minors=*/false, 0.0);
+  PLOT_CHECK(!absolute.empty());
+  PLOT_CHECK(absolute.front().value >= window.min);
+
+  std::vector<plot::Tick> relative;
+  plot::generate_ticks(window, 400.0f, 80.0f, relative, /*include_minors=*/false, window.min);
+  PLOT_CHECK(!relative.empty());
+  // The walk starts on the origin's grid: the first major is the origin itself, and every
+  // major is an exact multiple of the step away from it.
+  PLOT_CHECK_NEAR(relative.front().value, window.min, 1e-12);
+  PLOT_CHECK_NEAR(relative[1].value - relative[0].value,
+                  (absolute[1].value - absolute[0].value), 1e-12);
+  for (const plot::Tick& t : relative) {
+    PLOT_CHECK(t.value >= window.min - 1e-12);
+    PLOT_CHECK(t.value <= window.max + 1e-12);
+  }
+
+  // And through an axis: the *labels* are the relative values, the positions the absolute
+  // ones. That is the whole contract -- `format_value()` is where the origin is applied.
+  plot::Plot p;
+  p.set_viewport({0, 0, 800, 400});
+  const u32 ax = p.add_x_axis({"time", window, false, plot::AxisPlace::Bottom, false,
+                               plot::TickFormat::Time});
+  p.x_axis(ax);
+  PLOT_CHECK_NEAR(p.x_axis_origin(ax), 0.0, 1e-12);
+  p.set_x_axis_origin(ax, window.min);
+  PLOT_CHECK_NEAR(p.x_axis_origin(ax), window.min, 1e-12);
+  char buf[64];
+  p.x_axis(ax).format_value(window.min, buf, sizeof buf);
+  PLOT_CHECK(std::string(buf) == "0");            // the window's start reads zero
+  p.x_axis(ax).format_value(window.min + 0.0005, buf, sizeof buf);
+  PLOT_CHECK(std::string(buf) == "500\u00b5s");    // half a millisecond reads in microseconds
+  // An id that names no axis is ignored; the axis that exists is untouched by it.
+  p.set_x_axis_origin(7u, 1234.0);
+  PLOT_CHECK_NEAR(p.x_axis_origin(ax), window.min, 1e-12);
+}
+
+// The moving-window case, which is why the mode exists: the origin is re-taken from the range
+// at refresh, so the tick on the left edge reads exactly zero however far the window has
+// scrolled since the host last looked. A host cannot predict the edge (the follow places it
+// from the newest sample), and a value it wrote a frame earlier is a frame of scroll stale --
+// at 1 MS/s that is more than a millisecond-scale window shows.
+PLOT_TEST(a_range_origin_puts_the_zero_tick_on_the_left_edge) {
+  plot::Plot p;
+  p.set_viewport({0, 0, 800, 400});
+  const plot::Range window{12.345, 12.347};
+  const u32 ax = p.add_x_axis({"time", window, false, plot::AxisPlace::Bottom, false,
+                               plot::TickFormat::Time});
+  p.set_x_axis_origin_from_range(ax, true);
+
+  // `layout()` is the library's own path to the ticks (it ends in `refresh_ticks()`), so this
+  // is the order a frame really runs in.
+  p.layout();
+  PLOT_CHECK(!p.x_axis(ax).ticks.empty());
+  const plot::Tick& first = p.x_axis(ax).ticks.front();
+  PLOT_CHECK(first.major);
+  PLOT_CHECK_NEAR(f64(first.value), window.min, 1e-12);   // exactly the left edge ...
+  PLOT_CHECK(first.label == "0");                          // ... and it reads zero
+
+  // The window slides: the origin follows it, so the zero tick is on the *new* edge.
+  const plot::Range moved{12.6, 12.602};
+  p.set_x_range(ax, moved);
+  p.layout();
+  PLOT_CHECK_NEAR(f64(p.x_axis(ax).ticks.front().value), moved.min, 1e-12);
+  PLOT_CHECK(p.x_axis(ax).ticks.front().label == "0");
+  PLOT_CHECK_NEAR(p.x_axis_origin(ax), moved.min, 1e-12);  // and the host reads it back
+}