Say what a child gets of a container's box in that box's own lengths

Three things the measurements asked for, all about how much a box that came
from an answer costs.

**A part in the box's own coordinates.** Saying "less eleven pixels at the
end" in frame lengths from the box's start means reading how long the box is,
and a container whose box is its own answer then depends on its own answer:
`Pad` drew sixty-four times in one resize frame at seed 13, chasing its own
width. `Part::Of` says the same thing as a part of the box, which composes
without a length -- pixels are pixels wherever the box lands -- and what a
child under it holds for maps back through that part onto the container's
own box rather than onto the frame.

**One axis of the box at a time.** `extent_len` pinned both axes, so a span
dividing one of them held for one length of the other as well, and a resize
broke every span whose cross-axis answer moved.

**No lazy placement.** Leaving a child's answer to be placed at the end of
the parent's draw, rather than as the child answers, was meant to save a
recomposition. It costs one instead: the drawing is put in the part first
and in the answer's box after, and where it does not hold for both that is
two drawings rather than one. Seed 1 at depth 8 went from 391 widget draws
on a resize to 29 with it gone. The test that pinned three draws for a
numeric leaf in a span goes with it.

Seed 1 at depth 8, widget draws / distinct widgets / update, against #18's
head and against the commit this branch started from:

| phase   | e44dea3      | 34cafb6      | here          |
| ---     | ---          | ---          | ---           |
| cold    | 369/261/10.6 | 463/274/13.3 | 516/288/12.0  |
| repaint | 1            | 1            | 1             |
| many    | 157/95/0.33  | 263/108/0.59 | 187/119/0.52  |
| size    | 16/12/0.018  | 3/3          | 3/3/0.010     |
| scroll  | 2/0.002      | 1            | 1/0.004       |
| resize  | 13/13/0.019  | 22/15/0.032  | 24/76/0.090   |

Seed 13 at depth 8 is where the protocol still costs: `many` 1091 draws
against #18's 524, and `resize` 2215 against a frame #18 does not draw at
all. Both are the same shape -- an answer measured in one box and drawn in
another -- and the handoff says where that comes from.

Checked: fmt, clippy with -D warnings, 108 suite tests, 20 core tests, the
11 generated cases, and the shrinker at 400 trees of depth 5, which fails
seeds 2 (repaint) and 108 (reorder).

core/src/layout_diagnostics.rs

@@ -54,10 +54,13 @@ pub(crate) enum Counter {
     TextShapes,
     TextBreaks,
     GlyphPlacements,
+    OutsidePlacement,
+    OutsideFrame,
+    OutsideExtent,
 }
 
 impl Counter {
-    const COUNT: usize = Self::GlyphPlacements as usize + 1;
+    const COUNT: usize = Self::OutsideExtent as usize + 1;
 
     const NAMES: [&'static str; Self::COUNT] = [
         "updates",
@@ -89,6 +92,9 @@ impl Counter {
         "text shapes",
         "text line breaks",
         "glyph placements",
+        "reuse outside: the placement it was pinned to",
+        "reuse outside: a frame length",
+        "reuse outside: an extent length",
     ];
 }
 

core/src/orientation/axis.rs

@@ -7,6 +7,17 @@ pub enum Axis {
     Y,
 }
 
+impl Axis {
+    /// A per-axis pair with `aligned` on this axis and `ortho` on the other,
+    /// which is what `from_axis` does for a vector.
+    pub fn pair<T>(self, aligned: T, ortho: T) -> [T; 2] {
+        match self {
+            Self::X => [aligned, ortho],
+            Self::Y => [ortho, aligned],
+        }
+    }
+}
+
 impl std::ops::Not for Axis {
     type Output = Self;
 

core/src/primitive/text.rs

@@ -176,6 +176,23 @@ impl TextBuffer {
         self.layout_key.as_ref()?.max_width
     }
 
+    /// Widths covered by the current line breaks, including a wider shaping
+    /// retained when a later draw requested a narrower box.
+    pub fn width_holds(&self) -> crate::Holds {
+        let Some(width) = self.wrap_width() else {
+            return crate::Holds::ANY;
+        };
+        let width = Px::from_f32(width);
+        let soft_wrapped = self.layout.lines().any(|line| {
+            matches!(
+                line.break_reason(),
+                parley::layout::BreakReason::Regular | parley::layout::BreakReason::Emergency
+            )
+        });
+        let upper = if soft_wrapped { width } else { Px::MAX };
+        crate::Holds::from(Px::ceil_from_f32(self.layout.width()).min(width)..=upper)
+    }
+
     pub fn size(&self) -> Vec2 {
         Vec2::new(self.layout.width(), self.layout.height())
     }

core/src/render/mod.rs

@@ -106,7 +106,8 @@ impl UiRenderNode {
             self.active.push(i);
             for change in draws.apply_free() {
                 if let Some(inst) = ui_render.active.get_mut(&change.id) {
-                    for h in &mut inst.primitives {
+                    for primitive in &mut inst.primitives {
+                        let h = &mut primitive.handle;
                         if h.layer == i && h.kind == change.kind && h.inst_idx == change.old {
                             h.inst_idx = change.new;
                             break;

core/src/ui/active.rs

@@ -1,6 +1,6 @@
 use crate::{
-    Holds, LayerId, LayoutLen, MaskIdx, MoveIdx, PrimitiveHandle, RegionAlign, Size, TextureHandle,
-    UiRegion, UiVec2, WidgetId,
+    LayerId, LayoutHolds, LayoutLen, MaskIdx, MoveIdx, Place, RegionAlign, RetainedPrimitive, Size,
+    TextureHandle, UiRegion, WidgetId,
 };
 
 /// What is kept of a widget its parent has asked about. `drawn` says whether
@@ -9,29 +9,36 @@ use crate::{
 #[derive(Debug)]
 pub struct ActiveData {
     pub id: WidgetId,
-    /// The box its drawing is in, in `parent_move`'s coordinates.
-    pub region: UiRegion,
-    /// The box its parent gave it, in the same coordinates: what it was
-    /// asked about, before its own answer placed its drawing inside it.
-    /// `region` is that placement, and a local redraw asks here.
-    pub given: UiRegion,
-    /// The same box as lengths of its parent's box, which is the one route
-    /// to a box in pixels: a draw threads these down a level at a time, and
-    /// [`crate::UiRenderState::redraw`] takes the same steps back up.
-    pub given_len: UiVec2,
-    /// The lengths of the box its parent first asked about it in, as
-    /// lengths of the box the parent was itself offered. Any later box it
-    /// was given was decided knowing its answer, so this is the question
-    /// asked again -- and a chain of fractions has no frame in it, which is
-    /// why a region node between two widgets cannot break it.
-    pub offer_len: UiVec2,
-    /// What it answered there: the size and what that held for.
-    pub answer: (Size, [Holds; 2]),
-    /// What the widget said it used of its box, the last time it drew.
+    /// Its frame in `parent_move`'s coordinates: what a fraction it declares
+    /// or reports is a fraction of, composed. Everything it draws sits inside
+    /// this by way of `extent`.
+    pub frame_abs: UiRegion,
+    /// Where its drawing goes, in the frame's own coordinates.
+    pub extent: UiRegion,
+    /// That frame in its parent's frame coordinates, before composition:
+    /// forwarded whole by a transparent container, narrowed by a declared
+    /// length or an inset. Its length is the same on every ask, which is what
+    /// a local redraw relies on to ask its parent's own question again.
+    pub frame: UiRegion,
+    /// What of its parent's extent the drawing was given, and what it was
+    /// given at the parent's first ask of it -- the question a cold layout
+    /// asks. A part is a length from the extent's start, so an extent that
+    /// moved re-places every child by re-adding that start.
+    pub place: [Place; 2],
+    pub offer_place: [Place; 2],
+    /// The box that ask gave it, in its frame's coordinates. Kept rather
+    /// than worked out again from where its parent's own box is now: a
+    /// parent drawn again in the box its own answer chose gives its children
+    /// boxes it never measured anything in, and the measurement this widget
+    /// answered is the one its parent's layout was built on.
+    pub offer_part: UiRegion,
+    /// The measured answer and its dependencies. A hint-only dependency or
+    /// a widget first encountered during placement has no measurement yet.
+    pub answer: Option<(Size, LayoutHolds)>,
+    /// What the widget said it used of its frame, the last time it drew.
     pub size: Size,
-    /// The pixel lengths of `region`, per axis, that its drawing and `size`
-    /// hold for.
-    pub holds: [Holds; 2],
+    /// The frame and extent reads that this drawing holds for.
+    pub holds: LayoutHolds,
     pub drawn: bool,
     pub parent: Option<WidgetId>,
     /// How far down the tree it was drawn, the root being 1. Carried down a
@@ -39,24 +46,24 @@ pub struct ActiveData {
     /// widget a frame visits and cannot drift while one is being drawn.
     pub depth: usize,
     pub textures: Vec<TextureHandle>,
-    pub primitives: Vec<PrimitiveHandle>,
+    /// Its primitives, each keeping the box it was written in -- in this
+    /// widget's extent coordinates, which is what a move recomposes from.
+    pub primitives: Vec<RetainedPrimitive>,
+    pub mask_region: Option<UiRegion>,
     pub children: Vec<WidgetId>,
     /// The children whose size this widget read while drawing.
     pub size_deps: Vec<WidgetId>,
     /// The movable region its primitives are positioned through: its own when
     /// opted in, otherwise the nearest ancestor's.
     pub move_idx: MoveIdx,
-    /// The declared lengths whoever drew this widget resolved into its box.
+    /// The declared lengths whoever drew this widget resolved into its frame.
     /// A change to one moves a box this widget cannot fix by drawing again,
     /// and comparing them is what says so.
     pub declared: [Option<LayoutLen>; 2],
-    /// The axes along which its parent chose its box from its own answer,
-    /// so a local redraw asks the question its parent asked.
-    pub decided: [bool; 2],
     /// Its alignment when it was last drawn, which a change to the property
     /// is found against.
     pub own_align: RegionAlign,
-    /// The movable region whose coordinates `region` uses.
+    /// The movable region whose coordinates `frame_abs` uses.
     pub parent_move: MoveIdx,
     /// The mask its drawing is clipped to: one it set itself, or the one it
     /// inherited from whoever drew it.
@@ -70,8 +77,12 @@ pub struct ActiveData {
 }
 
 impl ActiveData {
-    /// Whether its drawing and size hold for a box of these pixel lengths.
-    pub fn holds_at(&self, px: crate::PxVec2) -> bool {
-        self.holds[0].contains(px.x) && self.holds[1].contains(px.y)
+    /// Whether what it answered still stands for a frame of these pixel
+    /// lengths. The answer was given in the box its parent first asked
+    /// about, which is what it is checked against -- `holds` on the record
+    /// is about the box the answer then chose.
+    pub fn answers_at(&self, px: crate::PxVec2, part: UiRegion) -> bool {
+        self.answer
+            .is_some_and(|(_, holds)| holds.contains(px, part))
     }
 }

core/src/ui/holds.rs

@@ -52,6 +52,9 @@ impl Holds {
     /// allowance: inverting it is two divisions and nothing else, and the
     /// whole of a box maps back to itself.
     pub const fn through(self, len: Len) -> Self {
+        if self.lo.raw() == Px::MIN.raw() && self.hi.raw() == Px::MAX.raw() {
+            return Self::ANY;
+        }
         let rel = len.rel.raw() as i64;
         if rel == 0 {
             return Self::ANY;
@@ -92,6 +95,16 @@ mod tests {
     use super::*;
     use crate::Rel;
 
+    #[test]
+    fn an_unrestricted_range_stays_unrestricted_through_any_length() {
+        for rel in [-2.0, -0.5, 0.0, 0.5, 1.0, 2.0] {
+            for px in [-8, 0, 8] {
+                let len = Len::from_parts(Rel::from_f32(rel), Px::from_int(px));
+                assert_eq!(Holds::ANY.through(len), Holds::ANY);
+            }
+        }
+    }
+
     #[test]
     fn through_reverses_a_range_for_a_negative_fraction() {
         // `10 - box / 2` is between 20 and 40 for boxes from -60 to -20.

core/src/ui/layout_holds.rs

@@ -0,0 +1,62 @@
+use crate::{Axis, Holds, Len, PxVec2, UiRegion};
+
+const AXES: [Axis; 2] = [Axis::X, Axis::Y];
+
+/// What one evaluation of a widget depends on: the pixel lengths of its
+/// frame and of its own box that its drawing and its answer hold for, and
+/// the symbolic length of its own box where it read one.
+///
+/// The symbolic length is a pin rather than a range: a container places its
+/// children as lengths of its frame measured from where its own box starts,
+/// so what it draws turns on that box's length and on nothing about where it
+/// is. It does not compose into the parent -- a widget pinned this way is
+/// checked when it is re-placed.
+#[derive(Clone, Copy, Debug, PartialEq)]
+pub struct LayoutHolds {
+    pub frame: [Holds; 2],
+    pub extent: [Holds; 2],
+    pub extent_len: [Option<Len>; 2],
+}
+
+impl LayoutHolds {
+    pub const ANY: Self = Self {
+        frame: [Holds::ANY; 2],
+        extent: [Holds::ANY; 2],
+        extent_len: [None; 2],
+    };
+
+    pub fn and(self, other: Self) -> Self {
+        let mut result = Self::ANY;
+        for n in 0..2 {
+            result.frame[n] = self.frame[n].and(other.frame[n]);
+            result.extent[n] = self.extent[n].and(other.extent[n]);
+            debug_assert!(
+                self.extent_len[n].is_none()
+                    || other.extent_len[n].is_none()
+                    || self.extent_len[n] == other.extent_len[n]
+            );
+            result.extent_len[n] = self.extent_len[n].or(other.extent_len[n]);
+        }
+        result
+    }
+
+    pub fn covers(self, other: Self) -> bool {
+        (0..2).all(|n| {
+            self.frame[n].lo <= other.frame[n].lo
+                && self.frame[n].hi >= other.frame[n].hi
+                && self.extent[n].lo <= other.extent[n].lo
+                && self.extent[n].hi >= other.extent[n].hi
+                && self.extent_len[n].is_none_or(|len| other.extent_len[n] == Some(len))
+        })
+    }
+
+    pub fn contains(self, px: PxVec2, extent: UiRegion) -> bool {
+        AXES.into_iter().all(|axis| {
+            let n = axis as usize;
+            let len = extent.axis(axis).len();
+            self.frame[n].contains(px.axis(axis))
+                && self.extent[n].contains(len.to_px(px.axis(axis)))
+                && self.extent_len[n].is_none_or(|pinned| pinned == len)
+        })
+    }
+}

core/src/ui/mod.rs

@@ -11,12 +11,16 @@ pub const CHAIN_LIMIT: u32 = 64;
 
 mod active;
 mod holds;
+mod layout_holds;
 mod painter;
+mod place;
 mod render_state;
 
 pub use active::*;
 pub use holds::*;
+pub use layout_holds::*;
 pub use painter::{Painter, PrimitiveLike};
+pub use place::*;
 pub use render_state::*;
 
 #[derive(Default)]

core/src/ui/painter.rs

@@ -1,12 +1,12 @@
 #[cfg(feature = "layout-diagnostics")]
 use crate::layout_diagnostics::{self as diag, Counter};
 use crate::{
-    Axis, Holds, LayoutLen, Len, Px, PxVec2, RegionAlign, RenderedText, Size, StrongWidget,
-    TextAttrs, TextBuffer, TextData, TextureHandle, UiRegion, UiRenderState, UiRsc, UiVec2, Weight,
-    WidgetId, Widgets,
+    Axis, Holds, LayoutHolds, LayoutLen, Len, Part, Place, Px, PxVec2, RegionAlign, RenderedText,
+    RetainedPrimitive, Size, StrongWidget, TextAttrs, TextBuffer, TextData, TextureHandle,
+    UiRegion, UiRenderState, UiRsc, UiSpan, UiVec2, Weight, WidgetId, Widgets,
     render::{
-        GlyphPrimitive, Mask, MaskIdx, MoveIdx, Primitive, PrimitiveHandle, PrimitiveInst,
-        PrimitiveKind, TexturePrimitive,
+        GlyphPrimitive, Mask, MaskIdx, MoveIdx, Primitive, PrimitiveInst, PrimitiveKind,
+        TexturePrimitive,
     },
     ui::render_state::DrawInfo,
 };
@@ -17,34 +17,49 @@ pub struct Painter<'a> {
     pub(super) state: &'a mut UiRenderState,
     pub(super) rsc: &'a mut dyn UiRsc,
 
-    /// This widget's box, in the coordinates of `move_idx`.
-    pub(super) region: UiRegion,
-    /// That box in pixels, which its children's are a length of: threaded
-    /// down from the box this widget was given rather than composed back up
-    /// the chain, so every length in layout is one multiply from its
-    /// parent's and [`Holds::through`] inverts exactly that.
+    /// What a fraction this widget declares or reports is a fraction of, in
+    /// the coordinates of `move_idx`: forwarded from its parent unchanged
+    /// through a span, a stack or a scroll, and narrowed only by what was
+    /// decided above it -- a declared length, an inset, the root. Its length
+    /// is the same on every ask of the widget, which is what keeps a fraction
+    /// under it from being resolved twice.
+    pub(super) frame: UiRegion,
+    /// Where this widget's drawing goes, in the frame's own coordinates.
+    /// Everything it writes is in these coordinates, and its children are
+    /// placed as parts of it.
+    pub(super) extent: UiRegion,
+    /// The extent's symbolic length where this draw read it, which makes the
+    /// drawing one that holds for that length alone -- the way reading a
+    /// length in pixels makes it hold for that number of pixels.
+    pub(super) extent_len: [Option<Len>; 2],
+    /// The frame in pixels, which its children's frames are a length of:
+    /// threaded down rather than composed back up the chain, so every length
+    /// in layout is one multiply from its parent's and [`Holds::through`]
+    /// inverts exactly that.
     pub(super) px: PxVec2,
     pub(super) mask: MaskIdx,
     pub(super) textures: Vec<TextureHandle>,
-    pub(super) primitives: Vec<PrimitiveHandle>,
+    pub(super) primitives: Vec<RetainedPrimitive>,
+    pub(super) mask_region: Option<UiRegion>,
+    /// Only children whose answers were read constrain this widget's answer.
+    pub(super) answer_under: LayoutHolds,
     pub(super) children: Vec<WidgetId>,
-    /// The children asked about so far, so the first box each was asked in
+    /// The children asked about so far, so the first place each was asked in
     /// is the one recorded as its offer.
     pub(super) offered: Vec<WidgetId>,
-    /// The lengths of the box this widget was first asked about in, in
-    /// pixels. Its children's offers are a fraction of it.
-    pub(super) offered_px: PxVec2,
-    /// Whether this draw is in a box of those lengths, which makes the
-    /// questions it asks the ones a cold layout asks and their answers the
-    /// ones to keep.
+    /// Whether this draw is at the place its parent first asked about, which
+    /// makes the questions it asks the ones a cold layout asks and their
+    /// answers the ones to keep.
     pub(super) at_offer: bool,
     /// The children whose size this widget read while drawing.
     pub(super) size_deps: Vec<WidgetId>,
-    /// What this draw itself read of its box in pixels, per axis: every
+    /// What this draw itself read of its frame in pixels, per axis: every
     /// length until it reads one, then that one, unless it says otherwise.
     pub(super) own: [Holds; 2],
-    /// What the children it asked about and drew keep it to.
-    pub(super) under: [Holds; 2],
+    /// The same for its extent.
+    pub(super) extent_own: [Holds; 2],
+    /// Dependencies of every child drawing, including unmeasured overlays.
+    pub(super) under: LayoutHolds,
     /// The movable region this widget's primitives are positioned through:
     /// its own when opted in, otherwise the nearest ancestor's.
     pub(super) move_idx: MoveIdx,
@@ -64,6 +79,24 @@ impl<'a> Painter<'a> {
 
     /// Takes the kind, for a caller writing many of one primitive.
     fn write<P: Primitive>(&mut self, kind: PrimitiveKind<P>, primitive: P, region: UiRegion) {
+        self.write_resolved(kind, primitive, region, self.resolve(region));
+    }
+
+    /// A box in this widget's extent coordinates, composed into the
+    /// coordinates its move slot is in: through the extent, then through the
+    /// frame the extent is a part of. The same two steps a recomposition
+    /// replays, so a moved drawing lands where a cold one does.
+    fn resolve(&self, region: UiRegion) -> UiRegion {
+        region.within(&self.extent).within(&self.frame)
+    }
+
+    fn write_resolved<P: Primitive>(
+        &mut self,
+        kind: PrimitiveKind<P>,
+        primitive: P,
+        region: UiRegion,
+        resolved: UiRegion,
+    ) {
         #[cfg(feature = "layout-diagnostics")]
         diag::bump(Counter::PrimitiveWrites);
         let h = self.state.layers.write(
@@ -72,15 +105,15 @@ impl<'a> Painter<'a> {
                 kind,
                 id: self.id,
                 primitive,
-                region,
+                region: resolved,
                 mask_idx: self.mask,
                 move_idx: self.move_idx,
             },
         );
-        self.push_primitive(h);
+        self.push_primitive(RetainedPrimitive { handle: h, region });
     }
 
-    fn push_primitive(&mut self, h: PrimitiveHandle) {
+    fn push_primitive(&mut self, h: RetainedPrimitive) {
         if self.mask != MaskIdx::NONE {
             // TODO: I have no clue if this works at all :joy:
             self.rsc.ui_mut().masks.push_ref(self.mask);
@@ -88,95 +121,72 @@ impl<'a> Painter<'a> {
         self.primitives.push(h);
     }
 
-    /// Writes a primitive to be rendered
+    /// Writes a primitive over the whole of this widget's own box.
     pub fn primitive(&mut self, primitive: impl PrimitiveLike) {
         let primitive = primitive.into_primitive(self);
-        self.primitive_at(primitive, self.region)
+        self.primitive_at(primitive, UiRegion::FULL)
     }
 
+    /// Writes a primitive in a part of this widget's own box, in that box's
+    /// coordinates.
     pub fn primitive_within(&mut self, primitive: impl PrimitiveLike, region: UiRegion) {
         let primitive = primitive.into_primitive(self);
-        self.primitive_at(primitive, region.within(&self.region));
+        self.primitive_at(primitive, region);
     }
 
+    /// Sets a mask, in this widget's own box's coordinates.
     pub fn set_mask(&mut self, region: UiRegion) {
+        self.mask_region = Some(region);
         assert!(self.mask == MaskIdx::NONE);
+        let resolved = self.resolve(region);
+        let move_idx = self.move_idx;
         self.mask = self.rsc.ui_mut().masks.push(Mask {
-            region,
-            move_idx: self.move_idx,
+            region: resolved,
+            move_idx,
         });
     }
 
-    /// Draws a widget within this widget's region.
+    /// Draws a widget in the whole of this widget's own box, with the frame
+    /// forwarded unchanged: what a container that is only a wrapper around
+    /// one child wants, and what every transparent container passes for the
+    /// frame.
     pub fn widget<'s, W: ?Sized>(&'s mut self, id: &'s StrongWidget<W>) -> DrawResult<'s, 'a, W> {
-        self.widget_within(id, UiRegion::FULL)
+        self.widget_at(id, UiRegion::FULL, [Place::Within(Part::All); 2])
     }
 
-    /// What a widget's rules declare its lengths to be, which whoever draws
-    /// it resolves into its box. Reading them depends on nothing -- the box
-    /// that comes of them is kept on the child, and `redraw` compares it
-    /// there.
-    fn declared_lens<W: ?Sized>(&self, id: &StrongWidget<W>) -> [Option<LayoutLen>; 2] {
-        declared_lens(self.rsc.widgets(), id.id())
-    }
-
-    /// Takes back a child that was drawn only to find out how long it is.
-    /// Its drawing is dropped and it is not one of this widget's children
-    /// this frame; what it answered is still something this widget asked.
-    pub fn undraw<W: ?Sized>(&mut self, id: &StrongWidget<W>) {
-        self.children.retain(|child| *child != id.id());
-        self.state.undraw_rec(id.id(), self.rsc);
-    }
-
-    /// Draws a widget somewhere within this one. `region` is in this widget's
-    /// own coordinates, and the child's declared lengths are still to be
-    /// taken from it. Where the child's drawing sits inside what it is given
-    /// is the child's alignment, applied where the child is drawn, so a
-    /// container positions a child either by handing it a box of exactly its
-    /// length or by leaving it room and letting its alignment decide.
-    pub fn widget_within<'s, W: ?Sized>(
-        &'s mut self,
-        id: &'s StrongWidget<W>,
-        region: UiRegion,
-    ) -> DrawResult<'s, 'a, W> {
-        self.widget_at(id, region, region.size(), [false; 2])
-    }
-
-    /// Draws a widget in `region`, saying what the answer means.
+    /// Draws a child, saying what its fractions are of and where its drawing
+    /// goes.
     ///
-    /// `reports_of` is what a fraction the child reports is a fraction of, as
-    /// lengths of this widget's own box. It is the box the child was given
-    /// wherever that box is the child's whole area -- a pad's inset, a stack
-    /// child, a scroll's content -- and a span passes its own extent along
-    /// the row instead: it offers each child the room left from its cursor,
-    /// because a text has to wrap at the width actually there, while
-    /// `rel(0.5)` still means half the span wherever the child sits in it.
+    /// `frame` is that reference, in this widget's own frame coordinates:
+    /// [`UiRegion::FULL`] forwards this widget's frame, which is what a
+    /// container that only divides room passes, so a fraction under it means
+    /// the same wherever it sits and however deeply it is nested. Narrowing
+    /// it is for what is decided from above -- an inset's margins -- and a
+    /// declared length narrows it here.
     ///
-    /// A `decided` axis is one where this box was chosen from the widget's
-    /// own answer. On those the answer is not placed inside the box again: it
-    /// already is the box, and a fraction taken of it a second time would
-    /// shrink it twice. A container uses that where it hands back exactly
-    /// what a child asked for -- a span placing a child at the length it
-    /// reported, a scroll giving its content the content's own length.
+    /// `place` is where the drawing goes, per axis, as a part of this
+    /// widget's extent: see [`Place`]. A narrowed frame is its own extent,
+    /// since the narrowing is what said where the drawing goes.
     pub fn widget_at<'s, W: ?Sized>(
         &'s mut self,
         id: &'s StrongWidget<W>,
-        region: UiRegion,
-        reports_of: UiVec2,
-        decided: [bool; 2],
+        frame: UiRegion,
+        place: [Place; 2],
     ) -> DrawResult<'s, 'a, W> {
         let region_node = self.rsc.widgets().is_region_node(id.id());
         let declared = self.declared_lens(id);
         let align = self.rsc.widgets().alignment(id.id());
-        // Composing `FULL` through a box is not quite the identity in f32,
-        // so a child with nothing declared keeps the box it would have had.
-        let local = match declared.iter().any(Option::is_some) {
-            true => declared_box(region, declared, align),
-            false => region,
-        };
+        let narrow = AXES.map(|axis| {
+            let n = axis as usize;
+            // A rule's fraction is a fraction of the frame the child was
+            // given, which is the one length the rule can mean.
+            declared[n]
+                .map(|len| Len::from_parts(len.rel, len.px).within_len(frame.axis(axis).len()))
+        });
+        let (local, extent) = frame_and_extent(frame, part_of(self.extent, place), narrow, align);
         let within = match local == UiRegion::FULL {
-            true => self.region,
-            false => local.within(&self.region),
+            true => self.frame,
+            false => local.within(&self.frame),
         };
         #[cfg(feature = "layout-diagnostics")]
         if region_node {
@@ -188,26 +198,20 @@ impl<'a> Painter<'a> {
             self.children.push(id.id());
         }
         let first_ask = self.offer(id.id());
-        let given_len = local.size();
-        let offer_len = match first_ask {
-            true => given_len,
-            false => self
-                .state
+        let offer_place = if first_ask {
+            place
+        } else {
+            self.state
                 .active
                 .get(&id.id())
-                .map_or(given_len, |a| a.offer_len),
+                .map_or(place, |a| a.offer_place)
         };
-        let px = given_len.to_px(self.px);
-        let offered_px = offer_len.to_px(self.offered_px);
-        // Whether this ask is the child's offer question, which is a question
-        // about lengths: the same lengths somewhere else is the same question.
-        let answers_offer = self.at_offer && px == offered_px;
-        // The answer and what it holds for, both about the box asked in. The
-        // child's record may say something else once its drawing has been
+        let px = local.size().to_px(self.px);
+        // The answer and what it holds for, both about the place asked in.
+        // The child's record may say something else once its drawing has been
         // placed: a drawing made again in its placed box holds for that box.
-        let (size, holds) = self.state.draw_inner(
+        let (size, answer_holds, holds) = self.state.draw_inner(
             id.id(),
-            within,
             DrawInfo {
                 layer: self.layer,
                 parent: Some(self.id),
@@ -215,30 +219,46 @@ impl<'a> Painter<'a> {
                 parent_move: self.move_idx,
                 region_node,
                 mask: self.mask,
-                given_len,
-                offer_len,
+                frame: local,
+                frame_abs: within,
+                part: extent,
+                place,
+                offer_place,
+                // The question its parent measured it by, asked again: the
+                // same widget in the same place, however this draw came
+                // about.
+                offer: place == offer_place,
                 px,
-                offered_px,
-                decided,
             },
             None,
             self.rsc,
         );
-        if answers_offer {
-            self.state.active.get_mut(&id.id()).unwrap().answer = (size, holds);
-        }
-        // Whatever the child's answer holds for keeps this one to the boxes
-        // that give the child a length inside it.
-        for (axis, under) in AXES.into_iter().zip(self.under.iter_mut()) {
-            *under = under.and(holds[axis as usize].through(local.axis(axis).len()));
-        }
+        let compose = |holds| in_parent(holds, local, extent, place, declared);
+        self.under = self.under.and(compose(holds));
         DrawResult {
             child: id,
             painter: self,
-            size: in_parent_frame(size, reports_of, declared),
+            size: in_parent_frame(size, local.size(), declared),
+            answer_holds: compose(answer_holds),
         }
     }
 
+    /// Takes back a child that was drawn only to find out how long it is.
+    /// Its drawing is dropped and it is not one of this widget's children
+    /// this frame; what it answered is still something this widget asked.
+    pub fn undraw<W: ?Sized>(&mut self, id: &StrongWidget<W>) {
+        self.children.retain(|child| *child != id.id());
+        self.state.undraw_rec(id.id(), self.rsc);
+    }
+
+    /// What a widget's rules declare its lengths to be, which whoever draws
+    /// it resolves into its frame. Reading them depends on nothing -- the box
+    /// that comes of them is kept on the child, and `redraw` compares it
+    /// there.
+    fn declared_lens<W: ?Sized>(&self, id: &StrongWidget<W>) -> [Option<LayoutLen>; 2] {
+        declared_lens(self.rsc.widgets(), id.id())
+    }
+
     /// What a child says its length is without being drawn, if it can say.
     /// Asking counts as reading its size.
     pub fn size_hint<W: ?Sized>(&mut self, id: &StrongWidget<W>, axis: Axis) -> Option<LayoutLen> {
@@ -267,47 +287,11 @@ impl<'a> Painter<'a> {
         }
     }
 
-    /// A child's length in the box it is about to be offered, if it can be
-    /// had without drawing it: from its hint, or from a drawing it already
-    /// has that holds for that box. `reports_of` is what a fraction in the
-    /// answer is a fraction of, as it is for [`Self::widget_at`].
-    pub fn known_len<W: ?Sized>(
-        &mut self,
-        child: &StrongWidget<W>,
-        axis: Axis,
-        region: UiRegion,
-        reports_of: UiVec2,
-    ) -> Option<LayoutLen> {
-        let declared = self.declared_lens(child);
-        let align = self.rsc.widgets().alignment(child.id());
-        let local = declared_box(region, declared, align);
-        let first_ask = self.offer(child.id());
-        if first_ask && let Some(active) = self.state.active.get_mut(&child.id()) {
-            active.offer_len = local.size();
-        }
-        if let Some(hint) = self.size_hint(child, axis) {
-            return Some(hint);
-        }
-        let px = local.size().to_px(self.px);
-        let (size, holds) =
-            self.state
-                .retained_size(child.id(), px, self.move_idx, self.rsc.widgets())?;
-        #[cfg(feature = "layout-diagnostics")]
-        diag::bump(Counter::RetainedSizeHits);
-        self.depend_on(child);
-        if first_ask {
-            let active = self.state.active.get_mut(&child.id()).unwrap();
-            active.answer = (size, holds);
-        }
-        for (axis, under) in AXES.into_iter().zip(self.under.iter_mut()) {
-            *under = under.and(holds[axis as usize].through(local.axis(axis).len()));
-        }
-        Some(in_parent_frame(size, reports_of, declared).axis(axis))
-    }
-
     /// Whether this is the first box a child is asked about in during a draw
-    /// that is itself in the box it was asked in -- the question a cold
-    /// layout asks, whose answer is the one to keep.
+    /// that is itself the one its parent measured -- the question a cold
+    /// layout asks, whose answer is the one to keep. A drawing made again in
+    /// a box chosen from an answer asks about that box instead, and what it
+    /// hears back is not a measurement of anything.
     fn offer(&mut self, child: WidgetId) -> bool {
         if !self.at_offer || self.offered.contains(&child) {
             return false;
@@ -334,11 +318,15 @@ impl<'a> Painter<'a> {
         ui.text.render(buffer, attrs, width)
     }
 
+    /// Writes glyphs in the selected frame or extent coordinates.
     // TODO: merge the text methods into the primitive ones.
     pub fn glyphs(&mut self, text: &RenderedText, origin: UiRegion) {
+        // Glyph offsets and sizes are pixels, which compose additively.
+        // Only the shared origin needs composing through the extent.
+        let resolved = self.resolve(origin);
         let kind = self.rsc.ui_mut().primitives.kind::<GlyphPrimitive>();
         for glyph in text.glyphs.iter() {
-            let mut region = origin;
+            let place = |mut region: UiRegion| {
                 region.x.end = region.x.start;
                 region.y.end = region.y.start;
                 let mut region = region.offset(UiVec2::from_px(glyph.offset));
@@ -348,7 +336,9 @@ impl<'a> Painter<'a> {
                 );
                 region.x.end = region.x.start.offset(size.x);
                 region.y.end = region.y.start.offset(size.y);
-            self.write(
+                region
+            };
+            self.write_resolved(
                 kind,
                 GlyphPrimitive {
                     uv_min: glyph.entry.uv_min,
@@ -357,15 +347,22 @@ impl<'a> Painter<'a> {
                     color: text.color,
                     flags: glyph.entry.flags(),
                 },
-                region,
+                place(origin),
+                place(resolved),
             );
         }
     }
 
-    /// This widget's box, in the coordinates its own primitives are written
-    /// in -- so a region composed `within` it may be drawn directly.
-    pub fn region(&self) -> UiRegion {
-        self.region
+    /// The symbolic length of this widget's own box along one axis, in the
+    /// lengths of its frame that it places its children in. Reading it pins
+    /// the drawing to that length -- and to nothing about where the box
+    /// starts, which is what lets a container move without being drawn
+    /// again. One axis at a time, because a container that divides one axis
+    /// holds for any length of the other.
+    pub fn extent_len(&mut self, axis: Axis) -> Len {
+        let len = self.extent.axis(axis).len();
+        self.extent_len[axis as usize] = Some(len);
+        len
     }
 
     /// Where this widget sits in a box longer than the length it takes. A
@@ -393,28 +390,44 @@ impl<'a> Painter<'a> {
             .is_some()
     }
 
-    /// The part of this widget's box that something of `size` takes, at the
-    /// near edge. A container that reports one child's size gives every child
-    /// this, so what it draws is inside what it says it occupies.
-    pub fn box_of(&self, size: Size) -> UiRegion {
-        let lens = placed_lens(size, [None; 2], [false; 2]);
-        placed_box(UiRegion::FULL, lens, RegionAlign::NEAR)
+    /// This widget's own box in pixels. Reading it makes the drawing one
+    /// that holds for this box only, until `holds` says how far it goes.
+    pub fn px_size(&mut self) -> PxVec2 {
+        PxVec2::new(self.px_len(Axis::X), self.px_len(Axis::Y))
     }
 
-    /// This widget's box in pixels. Reading it makes the drawing one that
-    /// holds for this box only, until `holds` says how far it goes.
-    pub fn px_size(&mut self) -> PxVec2 {
-        for (own, len) in self.own.iter_mut().zip([self.px.x, self.px.y]) {
+    /// One axis of this widget's own box in pixels. Prefer this to
+    /// [`Self::px_size`] when the other axis cannot affect the drawing.
+    pub fn px_len(&mut self, axis: Axis) -> Px {
+        let part = self.extent.axis(axis).len();
+        let len = part.to_px(self.px.axis(axis));
+        let own = &mut self.extent_own[axis as usize];
         if *own == Holds::ANY {
             *own = Holds::at(len);
         }
-        }
-        self.px
+        len
     }
 
-    /// One axis of this widget's box in pixels. Prefer this to
-    /// [`Self::px_size`] when the other axis cannot affect the drawing.
-    pub fn px_len(&mut self, axis: Axis) -> Px {
+    /// The lengths of this widget's own box on `axis` that what it is drawing
+    /// holds for -- the same primitives, in the same fractions and offsets
+    /// of the box, and the same reported size. A widget that read its length
+    /// in pixels holds for that one alone until it says otherwise.
+    pub fn holds(&mut self, axis: Axis, holds: impl Into<Holds>) {
+        let part = self.extent.axis(axis).len();
+        let holds = holds.into();
+        debug_assert!(
+            holds.contains(part.to_px(self.px.axis(axis))),
+            "'{}' ({:?}) says its drawing holds for lengths that leave out its own box",
+            self.label(),
+            self.id
+        );
+        self.extent_own[axis as usize] = holds;
+    }
+
+    /// One axis of this widget's frame in pixels -- what a fraction of its
+    /// area resolves against, and so what a container divides among its
+    /// children. Its own box is a part of this one.
+    pub fn frame_px_len(&mut self, axis: Axis) -> Px {
         let len = self.px.axis(axis);
         let own = &mut self.own[axis as usize];
         if *own == Holds::ANY {
@@ -423,15 +436,14 @@ impl<'a> Painter<'a> {
         len
     }
 
-    /// The lengths of this widget's box on `axis` that what it is drawing
-    /// holds for -- the same primitives, in the same fractions and offsets
-    /// of the box, and the same reported size. A widget that read its
-    /// length in pixels holds for that one alone until it says otherwise.
-    pub fn holds(&mut self, axis: Axis, holds: impl Into<Holds>) {
+    /// [`Self::holds`] stated about the frame rather than about this
+    /// widget's own box, for a container whose drawing turns on what its
+    /// fractions are of rather than on the part of it it took.
+    pub fn frame_holds(&mut self, axis: Axis, holds: impl Into<Holds>) {
         let holds = holds.into();
         debug_assert!(
             holds.contains(self.px.axis(axis)),
-            "'{}' ({:?}) says its drawing holds for lengths that leave out its own box",
+            "'{}' ({:?}) says its drawing holds for lengths that leave out its frame",
             self.label(),
             self.id
         );
@@ -478,6 +490,7 @@ pub struct DrawResult<'p, 'a, W: ?Sized> {
     painter: &'p mut Painter<'a>,
     child: &'p StrongWidget<W>,
     size: Size,
+    answer_holds: LayoutHolds,
 }
 
 impl<W: ?Sized> DrawResult<'_, '_, W> {
@@ -488,6 +501,7 @@ impl<W: ?Sized> DrawResult<'_, '_, W> {
             diag::size_read(self.child.id(), self.painter.id, self.size);
         }
         self.painter.depend_on(self.child);
+        self.painter.answer_under = self.painter.answer_under.and(self.answer_holds);
         self.size
     }
 
@@ -521,19 +535,67 @@ impl PrimitiveLike for &TextureHandle {
     }
 }
 
-/// A child's answer as lengths of the parent's own box. A widget reports a
-/// fraction, and `reports_of` is the length that fraction is of: the box the
-/// child was given wherever that is the child's whole area, and the parent's
-/// own extent wherever the box is a positional remainder, as a span's is
-/// after an earlier child. Pixels come through untouched either way, being
-/// that many pixels wherever they end up. A declared axis is already the
-/// parent's: it resolved the rule in its own box, and the rule is what the
-/// report says.
-fn in_parent_frame(size: Size, reports_of: UiVec2, declared: [Option<LayoutLen>; 2]) -> Size {
+/// What a child depends on, said about the boxes the widget that drew it
+/// has rather than the ones the child was given.
+///
+/// `frame` is the child's frame in this widget's frame coordinates and
+/// `extent` the box it was given, in the child's own frame coordinates. Both
+/// reach it as one length, so what it holds for maps back through that
+/// length exactly -- and where the box it was given is this widget's own,
+/// what it says about that box is what this widget can say about its own.
+pub(crate) fn in_parent(
+    holds: LayoutHolds,
+    frame: UiRegion,
+    extent: UiRegion,
+    place: [Place; 2],
+    declared: [Option<LayoutLen>; 2],
+) -> LayoutHolds {
+    let mut result = LayoutHolds::ANY;
+    for axis in AXES {
+        let n = axis as usize;
+        let frame_len = frame.axis(axis).len();
+        result.frame[n] = holds.frame[n].through(frame_len);
+        match (place[n].part(), declared[n]) {
+            // Its box is this widget's own, or a part of it in that box's
+            // own lengths: so what it holds for is a range on this widget's
+            // own box, which is what lets that box move without a redraw. A
+            // length it pinned is this widget's length wherever the part is
+            // the whole of it, and pins the same way.
+            (Part::All, None) => {
+                result.extent[n] = holds.extent[n];
+                result.extent_len[n] = holds.extent_len[n];
+            }
+            // Its box is a part of this widget's own box, in that box's own
+            // lengths, so what it holds for maps back through that part into
+            // a range on this widget's box.
+            (Part::Of(span), None) => {
+                result.extent[n] = holds.extent[n].through(span.len());
+            }
+            // Its box is a part of this widget's frame: a length of the
+            // frame is all that reaches it, so what it holds for is a range
+            // on the frame and none of it on this widget's own box.
+            _ => {
+                result.frame[n] = result.frame[n].and(
+                    holds.extent[n]
+                        .through(extent.axis(axis).len())
+                        .through(frame_len),
+                );
+            }
+        }
+    }
+    result
+}
+
+/// A child's answer as lengths of the parent's own region. A widget reports
+/// a fraction of its own region, and `of` is that region as a length of this
+/// one. Pixels come through untouched, being that many pixels wherever they
+/// end up. A declared axis is already the parent's: it resolved the rule in
+/// its own region, and the rule is what the report says.
+fn in_parent_frame(size: Size, of: UiVec2, declared: [Option<LayoutLen>; 2]) -> Size {
     let mut size = size;
     for (axis, declared) in AXES.into_iter().zip(declared) {
         if declared.is_none() {
-            *size.axis_mut(axis) = size.axis(axis).within_len(reports_of.axis(axis));
+            *size.axis_mut(axis) = size.axis(axis).within_len(of.axis(axis));
         }
     }
     size
@@ -562,71 +624,90 @@ pub(crate) fn declared_lens(widgets: &Widgets, id: WidgetId) -> [Option<LayoutLe
 /// Whether what a widget reported along an axis is the whole of the box it
 /// is in rather than a part to be placed inside it. A share fills, because a
 /// share is a length only to whoever divides one, and whoever did is the one
-/// that handed down this box. A declared axis does too: `declared_box`
-/// already placed it, in the parent's box, and the rule's length is what the
-/// widget reports there. And an axis the parent decided from the answer is
+/// that handed down this box. A declared axis does too: the rule already gave
+/// the region its length, and the rule's length is what the widget reports
+/// there. And an axis the parent decided from the answer is
 /// the answer already.
 pub(crate) fn fills(reported: LayoutLen, declared: Option<LayoutLen>, decided: bool) -> bool {
     reported.leftover != Weight::ZERO || declared.is_some() || decided
 }
 
-/// What of the box it was given a widget's drawing occupies, as lengths of
-/// that box: the size it reported wherever that is a part to be placed, and
-/// the whole of the box wherever the answer fills it.
+/// Where a widget's drawing goes inside the part its parent gave it: what
+/// it reported, on the side of the part its alignment says, and the whole
+/// part wherever the answer fills it.
 ///
-/// A reported fraction is a fraction of the box the widget drew in, where a
-/// declared one is a fraction of the box its parent handed down -- a span
-/// reporting `rel(1.0)` means all of what it was given, whatever that was a
-/// fraction of. So this is a length of the box rather than a length composed
-/// into it, and a box in pixels is this step from the given box's pixels.
-pub(crate) fn placed_lens(
+/// The length it reported is a length of its frame, and the part is one too,
+/// so this takes one from the other rather than composing it into the part.
+/// That is what makes a fraction the same fraction wherever the part it is
+/// placed in sits and however long it is -- the fraction is resolved once,
+/// here, against the frame it was reported of.
+pub(crate) fn placed_extent(
+    part: UiRegion,
     size: Size,
     declared: [Option<LayoutLen>; 2],
-    decided: [bool; 2],
-) -> UiVec2 {
-    let mut lens = UiVec2::FULL_SIZE;
-    for (axis, (declared, decided)) in AXES.into_iter().zip(declared.into_iter().zip(decided)) {
-        let reported = size.axis(axis);
-        if !fills(reported, declared, decided) {
-            *lens.axis_mut(axis) = Len::from_parts(reported.rel, reported.px);
-        }
-    }
-    lens
-}
-
-/// Where that drawing sits: those lengths taken of the box the widget was
-/// asked in, on the side of it that the widget's alignment says.
-pub(crate) fn placed_box(region: UiRegion, lens: UiVec2, align: RegionAlign) -> UiRegion {
-    let mut placed = region;
+    fill: [bool; 2],
+    align: RegionAlign,
+) -> UiRegion {
+    let mut placed = part;
     for axis in AXES {
-        // The whole of the box is already where it sits, and the arithmetic
-        // below is the identity for it.
-        if lens.axis(axis) == Len::FULL {
+        let n = axis as usize;
+        let reported = size.axis(axis);
+        if fills(reported, declared[n], fill[n]) {
             continue;
         }
+        let len = Len::from_parts(reported.rel, reported.px);
         let span = placed.axis_mut(axis);
-        let len = lens.axis(axis).within_len(span.len());
         span.start += (span.len() - len).scale(align.axis(axis).rel());
         span.end = span.start + len;
     }
     placed
 }
 
-/// Takes a widget's declared lengths in the box `region` is given in, since a
-/// fraction of a length means a fraction of that one, and puts what is left
-/// over on the side its alignment says. A caller that already reserved the
-/// space hands back the same length, so this is the identity for it.
-pub(crate) fn declared_box(
-    mut region: UiRegion,
-    declared: [Option<LayoutLen>; 2],
-    align: RegionAlign,
-) -> UiRegion {
-    for (axis, len) in AXES.into_iter().zip(declared) {
-        let Some(len) = len else { continue };
-        let span = region.axis_mut(axis);
-        let len = Len::from_parts(len.rel, len.px);
-        span.start += (span.len() - len).scale(align.axis(axis).rel());
-        span.end = span.start + len;
+/// The part of a widget's extent a `place` names, in the coordinates its
+/// extent is in: a span is measured in frame lengths from where the extent
+/// starts, so nothing under it depends on where that is, and an extent that
+/// moved re-places every child by re-adding its start.
+pub(crate) fn part_of(extent: UiRegion, place: [Place; 2]) -> UiRegion {
+    let mut part = extent;
+    for axis in AXES {
+        *part.axis_mut(axis) = place[axis as usize].part().of(*extent.axis(axis));
     }
-    region
+    part
+}
+
+/// The frame a child is asked in and the box its drawing goes in, both in
+/// the coordinates of the widget asking.
+///
+/// `frame` is what the caller said the child's fractions are of, and `part`
+/// what of the caller's own box the drawing takes. `narrow` is the length a
+/// declared rule gives the frame, which makes the frame the box the drawing
+/// goes in -- a rule is what decided where it goes, and there is nothing
+/// left to place inside it. A caller that narrowed the frame itself said the
+/// same thing.
+///
+/// The length is the caller's to supply so that a widget asked again gets
+/// the frame it already has rather than a second resolution of its rule.
+pub(crate) fn frame_and_extent(
+    mut frame: UiRegion,
+    part: UiRegion,
+    narrow: [Option<Len>; 2],
+    align: RegionAlign,
+) -> (UiRegion, UiRegion) {
+    let mut extent = part;
+    for (axis, narrow) in AXES.into_iter().zip(narrow) {
+        let span = frame.axis_mut(axis);
+        let narrowed = match narrow {
+            Some(len) => {
+                let slot = part.axis(axis);
+                let start = slot.start + (slot.len() - len).scale(align.axis(axis).rel());
+                *span = UiSpan::new(start, start + len);
+                true
+            }
+            None => *span != UiSpan::FULL,
+        };
+        if narrowed {
+            *extent.axis_mut(axis) = UiSpan::FULL;
+        }
+    }
+    (frame, extent)
 }

core/src/ui/place.rs

@@ -0,0 +1,61 @@
+use crate::{PrimitiveHandle, UiRegion, UiSpan};
+
+/// What of a widget's own box a child is given, along one axis.
+#[derive(Clone, Copy, Debug, PartialEq)]
+pub enum Part {
+    /// The whole of it.
+    All,
+    /// Frame lengths from where the box starts, which is what a container
+    /// dividing room among its children speaks: a child's report is a length
+    /// of the frame, so the cursor that sums those reports is one too. A
+    /// moved box re-places every child by re-adding its start, exactly.
+    From(UiSpan),
+    /// A part of the box in its own coordinates, which is what a container
+    /// that insets one speaks: taking eleven pixels off the end needs no
+    /// length, where saying the same thing in frame lengths would make the
+    /// container read its own box -- and a box chosen from its own answer
+    /// then feeds back into the answer.
+    Of(UiSpan),
+}
+
+impl Part {
+    /// Where it lands in the coordinates `extent` is in.
+    pub(crate) fn of(self, extent: UiSpan) -> UiSpan {
+        match self {
+            Self::All => extent,
+            Self::From(span) => UiSpan::new(extent.start + span.start, extent.start + span.end),
+            Self::Of(span) => span.within(&extent),
+        }
+    }
+}
+
+/// Where a child goes along one axis, as a part of this widget's box.
+#[derive(Clone, Copy, Debug, PartialEq)]
+pub enum Place {
+    /// The child's answer, aligned inside the part by the child's alignment.
+    Within(Part),
+    /// Exactly the part; the answer is not placed inside it again.
+    Fill(Part),
+}
+
+impl Place {
+    pub(crate) fn part(self) -> Part {
+        match self {
+            Self::Within(part) | Self::Fill(part) => part,
+        }
+    }
+
+    /// Whether the part is the drawing's box outright, rather than the box
+    /// the answer is placed inside.
+    pub(crate) fn fills(self) -> bool {
+        matches!(self, Self::Fill(_))
+    }
+}
+
+/// A primitive as it was written: its box in the widget's own box's
+/// coordinates, which is what a move of that box re-composes from.
+#[derive(Debug)]
+pub struct RetainedPrimitive {
+    pub handle: PrimitiveHandle,
+    pub region: UiRegion,
+}

core/src/util/slot.rs

@@ -1,4 +1,4 @@
-#[derive(Clone, Copy, Debug, PartialEq, Eq, Hash)]
+#[derive(Clone, Copy, Debug, PartialEq, Eq, Hash, PartialOrd, Ord)]
 pub struct SlotId {
     idx: u32,
     genr: u32,

src/default/mod.rs

@@ -251,7 +251,7 @@ impl<State: DefaultAppState> AppState for DefaultApp<State> {
                 ui_state.renderer.draw();
             }
             WindowEvent::Resized(size) => {
-                render.resize((size.width, size.height));
+                render.resize((size.width, size.height), rsc.widgets_mut());
                 ui_state.renderer.resize(size)
             }
             WindowEvent::KeyboardInput { event, .. } => {

src/harness.rs

@@ -144,9 +144,9 @@ impl Harness {
         // bound that comes with `SyncSender` is far past anything a test
         // leaves unread.
         let (send, updates) = sync_channel(1024);
-        let rsc = DefaultRsc::init(Arc::new(Queue(send)));
+        let mut rsc = DefaultRsc::init(Arc::new(Queue(send)));
         let mut render = UiRenderState::new();
-        render.resize(size);
+        render.resize(size, rsc.widgets_mut());
         Self {
             rsc,
             render,
@@ -161,7 +161,7 @@ impl Harness {
     }
 
     pub fn resize(&mut self, size: impl Into<Vec2>) {
-        self.render.resize(size);
+        self.render.resize(size, self.rsc.widgets_mut());
     }
 
     /// Changes a length rule after the fact, the way `.width()` sets one.

src/random.rs

@@ -117,16 +117,18 @@ pub struct Branch {
 
 impl Widget for Branch {
     fn draw(&mut self, painter: &mut Painter) -> Size {
-        let mut top = UiRegion::FULL;
-        top.y.end = top.y.start.offset(Px::from_int(40));
-        let measured = painter.widget_within(&self.probe, top).len(Axis::X);
+        let cut = Len::from_parts(Rel::ZERO, Px::from_int(40));
+        let top = Place::Within(Part::From(UiSpan::new(Len::ZERO, cut)));
+        let measured = painter
+            .widget_at(&self.probe, UiRegion::FULL, [Place::Within(Part::All), top])
+            .len(Axis::X);
         let px = measured.apply_leftover().to_px(painter.px_len(Axis::X));
 
-        let mut below = UiRegion::FULL;
-        below.y.start = below.y.start.offset(Px::from_int(40));
+        let below = Place::Within(Part::From(UiSpan::new(cut, painter.extent_len(Axis::Y))));
+        let place = [Place::Within(Part::All), below];
         match px > Px::from_f32(self.threshold) {
-            true => painter.widget_within(&self.wide, below),
-            false => painter.widget_within(&self.narrow, below),
+            true => painter.widget_at(&self.wide, UiRegion::FULL, place),
+            false => painter.widget_at(&self.narrow, UiRegion::FULL, place),
         };
         Size::LEFTOVER
     }

src/widget/mask.rs

@@ -6,7 +6,7 @@ pub struct Masked {
 
 impl Widget for Masked {
     fn draw(&mut self, painter: &mut Painter) -> Size {
-        painter.set_mask(painter.region());
+        painter.set_mask(UiRegion::FULL);
         painter.widget(&self.inner);
         // What it occupies is its box, on both axes, for the reason `Scroll`
         // reports the same: it clips what is inside to that box, so it can

src/widget/position/offset.rs

@@ -7,7 +7,14 @@ pub struct Offset {
 
 impl Widget for Offset {
     fn draw(&mut self, painter: &mut Painter) -> Size {
-        let region = UiRegion::FULL.offset(self.amt);
-        painter.widget_within(&self.inner, region).size()
+        // The whole of this widget's box, moved: the frame passes through, so
+        // what the child declares or reports means the same as it would
+        // without the offset.
+        let moved = |len: Len, amt: Len| Place::Within(Part::From(UiSpan::new(amt, len + amt)));
+        let place = [
+            moved(painter.extent_len(Axis::X), self.amt.x),
+            moved(painter.extent_len(Axis::Y), self.amt.y),
+        ];
+        painter.widget_at(&self.inner, UiRegion::FULL, place).size()
     }
 }

src/widget/position/pad.rs

@@ -13,9 +13,26 @@ impl Widget for Pad {
         // it; where the box is bigger -- a share of a row, a rule over this
         // widget -- the slack is the inner's to sit in, and forcing the near
         // edge pinned it to a corner it had not asked for.
-        let inner = painter
-            .widget_within(&self.inner, self.padding.region())
-            .size();
+        //
+        // The padding goes around what it pads: the frame passes through, so
+        // the inner's fractions mean what they would without it, and only
+        // the box it draws in is moved in by the pixels.
+        // A part of this widget's own box, in that box's own lengths: the
+        // padding is pixels, which are the same pixels wherever the box
+        // lands, so nothing here reads how long the box is -- and a box
+        // chosen from this widget's own answer therefore does not feed back
+        // into that answer.
+        let inset = |lead: Px, trail: Px| {
+            Place::Within(Part::Of(UiSpan::new(
+                Len::from_parts(Rel::ZERO, lead),
+                Len::from_parts(Rel::ONE, -trail),
+            )))
+        };
+        let place = [
+            inset(self.padding.left, self.padding.right),
+            inset(self.padding.top, self.padding.bottom),
+        ];
+        let inner = painter.widget_at(&self.inner, UiRegion::FULL, place).size();
         Size {
             x: LayoutLen {
                 px: inner.x.px + self.padding.left + self.padding.right,
@@ -53,14 +70,18 @@ impl Padding {
             bottom: amt,
         }
     }
-    pub fn region(&self) -> UiRegion {
-        let mut region = UiRegion::FULL;
+    /// `region` less this padding on each side.
+    pub fn region_of(&self, mut region: UiRegion) -> UiRegion {
         region.x.start.px += self.left;
         region.y.start.px += self.top;
         region.x.end.px -= self.right;
         region.y.end.px -= self.bottom;
         region
     }
+
+    pub fn region(&self) -> UiRegion {
+        self.region_of(UiRegion::FULL)
+    }
     pub fn x(amt: impl UiNum) -> Self {
         let amt = Px::from_num(amt);
         Self {

src/widget/position/scroll.rs

@@ -12,13 +12,11 @@ pub struct Scroll {
 impl Widget for Scroll {
     fn draw(&mut self, painter: &mut Painter) -> Size {
         let container_len = painter.px_len(self.axis);
-        // Draw in the whole container only when its scrolling-axis length is
-        // not already known, then draw it at the scrolled offset.
+        // Measured in the whole viewport, then drawn at the scrolled offset.
         let whole = UiRegion::FULL;
-        let answer_len = match painter.known_len(&self.inner, self.axis, whole, whole.size()) {
-            Some(len) => len,
-            None => painter.widget(&self.inner).size().axis(self.axis),
-        };
+        let answer_len = painter
+            .widget_at(&self.inner, whole, [Place::Fill(Part::All); 2])
+            .len(self.axis);
         let content = answer_len.apply_leftover();
         self.container_len = container_len;
         self.content_len = content.to_px(container_len);
@@ -47,7 +45,7 @@ impl Widget for Scroll {
         // have placed the whole scroll in a box longer than it.
         let slack = (self.container_len - self.content_len).max(Px::ZERO);
         let anchor = slack.mul(align.rel());
-        let mut region = UiRegion::FULL;
+        let mut content = UiSpan::FULL;
         // Content that fills the viewport and has not been scrolled is the
         // viewport, and is handed back as it came. Writing the same box as
         // its own length in pixels is the same box in another form, and the
@@ -56,15 +54,19 @@ impl Widget for Scroll {
         // each part of it.
         let moved = anchor != Px::ZERO || self.amt != Px::ZERO;
         if moved || self.content_len != self.container_len {
-            let offset = UiVec2::from_axis(
-                self.axis,
-                Len::from_parts(Rel::ZERO, anchor - self.amt),
-                Len::ZERO,
-            );
-            region = region.offset(offset);
-            region.axis_mut(self.axis).end = region.axis(self.axis).start.offset(self.content_len);
+            let start = Len::from_parts(Rel::ZERO, anchor - self.amt);
+            content = UiSpan::new(start, start.offset(self.content_len));
         }
-        painter.widget_at(&self.inner, region, region.size(), [true; 2]);
+        // The viewport is the inner's frame, so a fraction it declares or
+        // reports is a fraction of what is on screen rather than of the
+        // content box its own answer decided. Where it is drawn is the
+        // content box, scrolled.
+        painter.widget_at(
+            &self.inner,
+            whole,
+            self.axis
+                .pair(Place::Fill(Part::From(content)), Place::Fill(Part::All)),
+        );
         // What it occupies is its box, on both axes: it clips its content to
         // that box, so it can neither take less of one nor honestly ask for
         // more. The content's length is what it scrolls through, not what it

src/widget/position/span.rs

@@ -10,26 +10,30 @@ pub struct Span {
 impl Widget for Span {
     fn draw(&mut self, painter: &mut Painter) -> Size {
         let axis = self.dir.axis;
-        // A length for every child before their final boxes are chosen: from
-        // a hint where one exists, and from drawing otherwise.
+        // The row: this span's own box, as a length of the frame its children
+        // are laid out against. Its start is nothing's business -- a slot is
+        // a length from it -- so what this reads is the length alone.
+        let far = painter.extent_len(axis);
+        let along = |from: Len, to: Len| match self.dir.sign {
+            Sign::Pos => UiSpan::new(from, to),
+            Sign::Neg => UiSpan::new(far - to, far - from),
+        };
+        // Across itself the child sits where its own alignment says, in the
+        // whole of the row: a span is what contains its children there, and
+        // nothing divides that axis.
+        let across = Place::Within(Part::All);
+        // A length for every child before their final slots are chosen. The
+        // frame passes through unchanged, so `rel(0.5)` is half the area this
+        // span was given whatever else is in it and wherever this child sits
+        // among them; what it is drawn in is the room left from the cursor,
+        // because a text has to wrap at the width actually there.
         let mut cursor = Len::rel_min();
         let mut lens = Vec::with_capacity(self.children.len());
         for child in &self.children {
-            let mut span = UiSpan::new(cursor, Len::rel_max());
-            if self.dir.sign == Sign::Neg {
-                span.flip();
-            }
-            let region = UiRegion::from_axis(axis, span, UiSpan::FULL);
-            // Offered the room left from the cursor, because a text has to
-            // wrap at the width actually there, but reporting a fraction of
-            // the whole row: `rel(0.5)` is half the span whatever else is in
-            // it and wherever this child sits among them.
-            let len = match painter.known_len(child, axis, region, UiVec2::FULL_SIZE) {
-                Some(len) => len,
-                None => painter
-                    .widget_at(child, region, UiVec2::FULL_SIZE, [false; 2])
-                    .len(axis),
-            };
+            let room = Place::Within(Part::From(along(cursor, far)));
+            let len = painter
+                .widget_at(child, UiRegion::FULL, axis.pair(room, across))
+                .len(axis);
             cursor.px += len.px + self.gap;
             cursor.rel += len.rel;
             lens.push(len);
@@ -46,43 +50,26 @@ impl Widget for Span {
             |sum, len| sum + *len,
         );
 
+        // What is left for the shares to divide: the row less everything
+        // fixed, as a length of the frame rather than a number of pixels.
+        let room = far - Len::from_parts(total.rel, total.px);
         // Whether anything is left over is a question in pixels: `rel(0.5)`
-        // beside 300 px is full at 600 and overfull at 400. The room to
-        // divide is `len * fixed - total.px`, and the length where it runs
-        // out is exactly the box a parent sizing itself from this answer
-        // hands back -- which is why this used to need a margin either side
-        // of the boundary, and why it does not now: that box and this sum are
-        // whole counts of the same step, and both routes to it land on the
-        // same count. What the generated oracle checks is the consequence,
-        // since which children exist at all turns on this.
-        let fixed = Rel::ONE - total.rel;
+        // beside 300 px is full at 600 and overfull at 400. Asked of `room`
+        // itself, and answered back through the same expression, so the
+        // boundary is the drawing's own and not a second way of finding it:
+        // the three cases a rounded division needed -- the fixed parts
+        // growing slower than the box, faster, or exactly with it -- are the
+        // sign of `room.rel`, which `through` already reads. What the
+        // generated oracle checks is the consequence, since which children
+        // exist at all turns on this.
         let mut shares = false;
         if total.leftover > Weight::ZERO {
-            let current = painter.px_len(axis);
-            let holds = if fixed > Rel::ZERO {
-                // The box length the fixed parts alone fill.
-                let full = total.px.div(fixed);
-                shares = current > full;
-                match shares {
-                    true => Holds::from(full.next_up()..=Px::MAX),
-                    false => Holds::from(Px::MIN..=full),
-                }
-            } else if fixed < Rel::ZERO {
-                // The relative parts grow faster than the box does, so here
-                // a shorter box is the one that leaves room.
-                let full = total.px.div(fixed);
-                shares = current < full;
-                match shares {
-                    true => Holds::from(Px::MIN..=full.next_down()),
-                    false => Holds::from(full..=Px::MAX),
-                }
-            } else {
-                // The relative parts take exactly the box, whatever it is, so
-                // the only room is what negative pixels leave.
-                shares = total.px < Px::ZERO;
-                Holds::ANY
+            shares = room.to_px(painter.frame_px_len(axis)) > Px::ZERO;
+            let holds = match shares {
+                true => Holds::from(Px::STEP..=Px::MAX),
+                false => Holds::from(Px::MIN..=Px::ZERO),
             };
-            painter.holds(axis, holds);
+            painter.frame_holds(axis, holds.through(room));
         }
 
         // Across itself a span is as long as its longest child -- unless a
@@ -99,7 +86,6 @@ impl Widget for Span {
         // row.
         let mut fixed = Len::rel_min();
         let mut taken = Weight::ZERO;
-        let room = Len::rel_max() - Len::from_parts(total.rel, total.px);
         let mut start = Len::rel_min();
         let mut ortho = LayoutLen::ZERO;
         for (child, len) in self.children.iter().zip(&lens) {
@@ -112,28 +98,18 @@ impl Widget for Span {
                 fixed.px += self.gap;
                 continue;
             }
-            let mut span = UiSpan::FULL;
-            span.start = start;
+            let from = start;
             if len.leftover > Weight::ZERO && shares {
                 taken += len.leftover;
             }
             fixed.px += len.px;
             fixed.rel += len.rel;
             start = shared(fixed, taken, total.leftover, room);
-            span.end = start;
-            let mut region = UiRegion::from_axis(axis, span, UiSpan::FULL);
-            if self.dir.sign == Sign::Neg {
-                region.flip(axis);
-            }
-            // Along the row this box is the child's own answer, so the answer
-            // is not placed in it again; across it the child sits where its
-            // alignment says.
-            let placed = painter.widget_at(
-                child,
-                region,
-                UiVec2::FULL_SIZE,
-                [axis == Axis::X, axis == Axis::Y],
-            );
+            // Along the row the span says where the child goes, and that slot
+            // is the drawing's box outright rather than something to place an
+            // answer inside again.
+            let slot = Place::Fill(Part::From(along(from, start)));
+            let placed = painter.widget_at(child, UiRegion::FULL, axis.pair(slot, across));
             if shrinks {
                 let used = placed.len(!axis);
                 // Choosing between a fixed and a relative length from the

src/widget/position/stack.rs

@@ -13,31 +13,29 @@ impl Widget for Stack {
             StackSize::Default => None,
             StackSize::Child(i) => Some(i),
         };
-        // Whichever child sizes the stack decides the box every child gets.
-        // The stack reports that size, so a child given a longer box would
-        // draw outside what the stack says it occupies.
+        // Whichever child sizes the stack is given the stack's whole box --
+        // the stack is the length that child asked for, so placing that
+        // answer inside the box it decided would apply it twice.
         let size = match sizing.and_then(|i| self.children.get(i).map(|c| (i, c))) {
             // On the layer that child ends up on, so the ask below is a reuse
             // rather than a second drawing of it somewhere else: a retained
             // drawing belongs to the layer it was made on.
             Some((i, child)) => {
                 painter.child_layer_at(i);
-                painter.widget(child).size()
+                painter
+                    .widget_at(child, UiRegion::FULL, [Place::Fill(Part::All); 2])
+                    .size()
             }
             None => Size::LEFTOVER,
         };
-        let region = painter.box_of(size);
         for (i, child) in self.children.iter().enumerate() {
+            if sizing == Some(i) {
+                continue;
+            }
             painter.child_layer_at(i);
-            // The sizing child placed its own content in the box its answer
-            // decided, and this box was derived from that answer, so applying
-            // its alignment again here would place it twice. Every other
-            // child is handed a box that owes nothing to its own answer, and
-            // where it sits in one bigger than itself is its own business.
-            match sizing == Some(i) {
-                true => painter.widget_at(child, region, region.size(), [true; 2]),
-                false => painter.widget_within(child, region),
-            };
+            // Every other child is drawn in the stack's own box, and where it
+            // sits in one bigger than itself is its own business.
+            painter.widget(child);
         }
         size
     }

src/widget/text/mod.rs

@@ -50,20 +50,11 @@ impl TextView {
         let width = self.attrs.wrap.then(|| painter.px_len(Axis::X));
         // The shaper measures in floats, which is where a glyph advance comes
         // from; what it answers goes back on the grid.
-        let text = painter.render_text(&mut self.buf, &self.attrs, width.map(Px::to_f32));
-        // A greedy break is the same break at every width from its longest
-        // line up to the one it was made at: each line still fits, and none
-        // could take a word that did not fit in the wider box. A line too
-        // long to fit at all says nothing about narrower boxes.
-        //
-        // The step at or above that longest line rather than the nearest
-        // one, since the shaper measures in floats: the nearest step is
-        // under the line half the time, and a range starting there admits a
-        // box the line does not fit in, where the break is not this one.
-        if let Some(width) = width {
-            painter.holds(Axis::X, Px::ceil_from_f32(text.size.x).min(width)..=width);
+        painter.render_text(&mut self.buf, &self.attrs, width.map(Px::to_f32));
+        if width.is_some() {
+            painter.holds(Axis::X, self.buf.width_holds());
         }
-        text
+        self.buf.rendered().expect("render_text placed the glyphs")
     }
 
     pub fn tex(&self) -> Option<&RenderedText> {
@@ -89,8 +80,7 @@ impl TextView {
         // hair under that line, and the break made in it is not the break a
         // cold layout makes there.
         let size = Size::from_px(PxVec2::ceil_from_f32(tex.size));
-        let within = region.within(&painter.region());
-        painter.glyphs(tex, within);
+        painter.glyphs(tex, region);
         (region, size)
     }
 

tests/cases/determinism.rs

@@ -21,16 +21,18 @@ struct BranchesOnMeasurement {
 
 impl Widget for BranchesOnMeasurement {
     fn draw(&mut self, painter: &mut Painter) -> Size {
-        let mut top = UiRegion::FULL;
-        top.y.end = top.y.start.offset(Px::from_int(40));
-        let measured = painter.widget_within(&self.probe, top).len(Axis::X);
+        let cut = Len::from_parts(Rel::ZERO, Px::from_int(40));
+        let top = Place::Within(Part::From(UiSpan::new(Len::ZERO, cut)));
+        let measured = painter
+            .widget_at(&self.probe, UiRegion::FULL, [Place::Within(Part::All), top])
+            .len(Axis::X);
         let px = measured.apply_leftover().to_px(painter.px_len(Axis::X));
 
-        let mut below = UiRegion::FULL;
-        below.y.start = below.y.start.offset(Px::from_int(40));
+        let below = Place::Within(Part::From(UiSpan::new(cut, painter.extent_len(Axis::Y))));
+        let place = [Place::Within(Part::All), below];
         match px > Px::from_f32(self.threshold) {
-            true => painter.widget_within(&self.wide, below),
-            false => painter.widget_within(&self.narrow, below),
+            true => painter.widget_at(&self.wide, UiRegion::FULL, place),
+            false => painter.widget_at(&self.narrow, UiRegion::FULL, place),
         };
         Size::LEFTOVER
     }

tests/cases/layout.rs

@@ -20,11 +20,12 @@ fn a_span_gives_each_child_the_width_it_asked_for() {
     assert_corners!(h, right, (100, 0), (400, 200));
 }
 
-/// A span offers each child the room left after the one before, because a
-/// text has to wrap at the width actually there, but reads what the child
-/// reports as a fraction of the whole row. So two children asking for half
-/// each take the whole row between them, however much of it was left when
-/// each was asked, and a third overflows.
+/// A span places each child in the room left after the one before, because a
+/// text has to wrap at the width actually there, but the child's region is
+/// the whole row. So two children asking for half each take the whole row
+/// between them, however much of it was left when each was asked, and a third
+/// overflows -- and a span passes its own region on unchanged, so a child of
+/// a nested span asking for half asks for half of the same row.
 #[test]
 fn a_span_reads_a_child_report_as_a_fraction_of_the_row() {
     let mut h = Harness::new((400, 100));
@@ -34,10 +35,10 @@ fn a_span_reads_a_child_report_as_a_fraction_of_the_row() {
     let tail = rect(Color::BLUE).width(100).add(&mut h.rsc);
     h.set_root((half, nested, tail).span(Dir::RIGHT).width(rel(1.0)));
 
-    // The nested span is placed at the length it reported and drawn there
-    // once more; half of that final box is what its own child takes.
+    // The nested span is placed at the length it reported, and its own child
+    // asks for half of the row rather than half of that placement.
     assert_corners!(h, nested, (200, 0), (400, 100));
-    assert_corners!(h, inner, (200, 0), (300, 100));
+    assert_corners!(h, inner, (200, 0), (400, 100));
     assert_corners!(h, tail, (400, 0), (500, 100));
 }
 
@@ -82,11 +83,12 @@ fn a_text_in_a_span_wraps_at_the_room_left_rather_than_the_whole_row() {
     assert!(crowded > whole_row, "{crowded} against {whole_row}");
 }
 
-/// The same reading through a pad: its inset is the whole box less the
-/// padding, so half of the inset plus the padding is half the box plus one
-/// padding, not two.
+/// The same reading through a pad: padding goes around what it pads and
+/// does not narrow what a fraction under it is a fraction of, so half of the
+/// window plus the padding is what the pad takes and where the next child
+/// starts.
 #[test]
-fn a_pad_reports_a_fraction_of_its_inset_as_a_fraction_of_its_box() {
+fn a_pad_puts_its_padding_around_a_fraction_of_the_whole_box() {
     let mut h = Harness::new((400, 100));
     let inner = rect(Color::GREEN).width(rel(0.5)).add(&mut h.rsc);
     let padded = (inner,).span(Dir::RIGHT).pad(10).add(&mut h.rsc);
@@ -95,8 +97,9 @@ fn a_pad_reports_a_fraction_of_its_inset_as_a_fraction_of_its_box() {
     // placed inside it by its own alignment, which is not what is under test.
     h.set_root((padded, tail).span(Dir::RIGHT).width(rel(1.0)));
 
-    assert_corners!(h, padded, (0, 0), (210, 100));
-    assert_corners!(h, tail, (210, 0), (310, 100));
+    assert_corners!(h, inner, (10, 10), (210, 90));
+    assert_corners!(h, padded, (0, 0), (220, 100));
+    assert_corners!(h, tail, (220, 0), (320, 100));
 }
 
 #[test]
@@ -425,7 +428,8 @@ fn a_row_of_equal_shares_fills_it_exactly() {
 /// a step of. Kept in step with `snap_floor` in `prelude.wgsl`.
 fn drawn_edges(h: &Harness, id: WidgetId, axis: Axis) -> (f32, f32) {
     let active = &h.render.active[&id];
-    let region = h.render.moves.resolve(active.parent_move, active.region);
+    let drawn = active.extent.within(&active.frame_abs);
+    let region = h.render.moves.resolve(active.parent_move, drawn);
     let dim = h.size().axis(axis);
     let snap = |v: f32| (v + Px::STEP.to_f32() * 0.5).floor();
     let edge = |s: Len| snap(s.rel.to_f32() * dim + s.px.to_f32());
@@ -698,3 +702,41 @@ fn equal_shares_differ_by_at_most_two_steps_and_fill_the_row() {
         }
     }
 }
+
+#[test]
+fn a_stack_sized_by_a_child_does_not_take_that_childs_fraction_twice() {
+    let mut h = Harness::new((400, 200));
+    let half = rect(Color::RED).width(rel(0.5)).add(&mut h.rsc);
+    let behind = rect(Color::BLUE).add(&mut h.rsc);
+    let stack = Stack {
+        children: vec![behind.add_strong(&mut h.rsc), half.add_strong(&mut h.rsc)],
+        size: StackSize::Child(1),
+    }
+    .add(&mut h.rsc);
+    h.set_root((stack,).span(Dir::RIGHT).width(rel(1.0)));
+
+    assert_corners!(h, stack, (0, 0), (200, 200));
+    assert_corners!(h, half, (0, 0), (200, 200));
+    assert_corners!(h, behind, (0, 0), (200, 200));
+}
+
+#[test]
+fn a_fixed_child_is_centered_in_its_wrappers_share() {
+    let mut h = Harness::new((600, 300));
+    let leaf = rect(Color::RED).sized((100, 100)).center().add(&mut h.rsc);
+    let wrapper = leaf
+        .wrapper()
+        .width(leftover(2))
+        .height(rel(1.0))
+        .add(&mut h.rsc);
+    let other = rect(Color::BLUE).width(200).add(&mut h.rsc);
+    h.set_root((other, wrapper).span(Dir::RIGHT));
+
+    assert_corners!(h, wrapper, (200, 0), (600, 300));
+    assert_corners!(h, leaf, (350, 100), (450, 200));
+
+    h.resize((900, 400));
+    h.frame();
+    assert_corners!(h, wrapper, (200, 0), (900, 400));
+    assert_corners!(h, leaf, (500, 150), (600, 250));
+}

tests/cases/retained.rs

@@ -156,16 +156,9 @@ fn a_span_child_that_declares_its_length_is_drawn_once() {
     h.set_root((hinted, asked).span(Dir::RIGHT));
 
     assert_eq!(told_draws.get(), 1);
-    // Reading its box makes its drawing hold for the measuring box alone,
-    // and it reports less than that box: so it is drawn again in the box its
-    // answer places it in, and once more in the final box the span chooses.
-    // A widget that says what it holds for, as text does, skips the middle
-    // one.
-    assert_eq!(
-        asked_draws.get(),
-        3,
-        "drawn to be measured, in its placed box, then in its final box"
-    );
+    // Only the available length changes: positioning the final slot does
+    // not invalidate a numeric size read.
+    assert_eq!(asked_draws.get(), 2);
 }
 
 #[test]
@@ -220,9 +213,12 @@ struct FromHint {
 impl Widget for FromHint {
     fn draw(&mut self, painter: &mut Painter) -> Size {
         let len = painter.size_hint(&self.inner, Axis::Y).unwrap();
-        let mut region = UiRegion::FULL;
-        region.y.end = region.y.start.offset(len.px);
-        painter.widget_within(&self.inner, region);
+        let top = UiSpan::new(Len::ZERO, Len::from_parts(Rel::ZERO, len.px));
+        painter.widget_at(
+            &self.inner,
+            UiRegion::FULL,
+            [Place::Within(Part::All), Place::Within(Part::From(top))],
+        );
         Size::LEFTOVER
     }
 }
@@ -312,6 +308,51 @@ fn a_span_ruled_across_itself_moves_its_child_without_redrawing_it() {
     assert_eq!(h.render.active[&span.id()].size.y, LayoutLen::rel(1.0));
 }
 
+/// A row places its children as lengths from where its own box starts, so a
+/// child that grew moves the ones after it and nothing else: each of them is
+/// the same box in a new place, which the retained drawing follows without
+/// being made again. Both kinds of length: one the row resolves from a rule,
+/// and one it takes from what the child reported.
+#[test]
+fn a_row_moves_what_follows_a_child_that_grew_rather_than_drawing_it() {
+    for declared in [false, true] {
+        let mut h = Harness::new((400, 200));
+        let first = rect(Color::RED).width(50).add(&mut h.rsc);
+        let ruled = Rc::new(Cell::new(0));
+        let second = Counted {
+            draws: ruled.clone(),
+            size: Size::LEFTOVER,
+            reads_box: false,
+        };
+        let second = match declared {
+            true => second.width(rel(0.25)).add(&mut h.rsc),
+            false => second.width(60).add(&mut h.rsc),
+        };
+        let (third, reported) = counted(&mut h, Size::from((70, 20)), false);
+        h.set_root((first, second, third).span(Dir::RIGHT).width(rel(1.0)));
+        let (was_ruled, was_reported) = (ruled.get(), reported.get());
+        // A quarter of the row is a quarter of the row, wherever it sits in
+        // it and whatever the first child takes.
+        let width = match declared {
+            true => 100,
+            false => 60,
+        };
+        assert_corners!(h, second, (50, 0), (50 + width, 200));
+
+        h.set_len(first, Axis::X, 80);
+        h.frame();
+
+        assert_eq!(ruled.get(), was_ruled, "the ruled child was drawn again");
+        assert_eq!(
+            reported.get(),
+            was_reported,
+            "the reported child was drawn again"
+        );
+        assert_corners!(h, second, (80, 0), (80 + width, 200));
+        assert_corners!(h, third, (80 + width, 90), (150 + width, 110));
+    }
+}
+
 /// The output is the root of the box chain, so a resize is a box that changed
 /// length like any other -- there is not a second rule for the window. A
 /// drawing that holds for one length is drawn again whichever box moved.
@@ -628,3 +669,677 @@ fn a_masked_widget_redrawn_on_its_own_sets_its_mask_again() {
     h.frame();
     assert_corners!(h, inner, (100, 0), (400, 200));
 }
+
+/// The two spans a subtree changes hands between, and the branch that is not
+/// in the tree yet -- kept alive by the test until it is.
+struct Handover {
+    leaf: WidgetId,
+    first: WeakWidget<Span>,
+    second: WeakWidget<Span>,
+    root: WeakWidget<Span>,
+    spare: StrongWidget,
+}
+
+/// A subtree that changes hands while its box does not move, so nothing about
+/// reusing its drawing says it changed parents. `deeper` puts a span between
+/// the root and `second`, so it changes depth by changing hands as well.
+fn plant_handover(h: &mut Harness, moved: bool, deeper: bool, width: f32) -> Handover {
+    let leaf = rect(Color::RED).add(&mut h.rsc);
+    let sized = leaf.width(width).add(&mut h.rsc);
+    let holder = (sized,).span(Dir::RIGHT).add(&mut h.rsc);
+    let first = Span {
+        children: match moved {
+            true => Vec::new(),
+            false => vec![holder.add_strong(&mut h.rsc)],
+        },
+        dir: Dir::RIGHT,
+        gap: Px::ZERO,
+    }
+    .add(&mut h.rsc);
+    let second = Span {
+        children: match moved {
+            true => vec![holder.add_strong(&mut h.rsc)],
+            false => Vec::new(),
+        },
+        dir: Dir::RIGHT,
+        gap: Px::ZERO,
+    }
+    .add(&mut h.rsc);
+    let branch = match deeper {
+        true => (second,).span(Dir::RIGHT).add_strong(&mut h.rsc),
+        false => second.add_strong(&mut h.rsc),
+    };
+    let (in_tree, spare) = match moved {
+        true => (branch, first.add_strong(&mut h.rsc)),
+        false => (first.add_strong(&mut h.rsc), branch),
+    };
+    let root = Span {
+        children: vec![in_tree],
+        dir: Dir::RIGHT,
+        gap: Px::ZERO,
+    }
+    .add(&mut h.rsc);
+    h.state.root = Some(root.add_strong(&mut h.rsc));
+    Handover {
+        leaf: sized.id(),
+        first,
+        second,
+        root,
+        spare,
+    }
+}
+
+/// Moves the subtree and swaps the branch it sits in for the one it left.
+fn hand_over(h: &mut Harness, tree: Handover) -> WidgetId {
+    let holder = h.rsc[tree.first].children.remove(0);
+    h.rsc[tree.second].children.push(holder);
+    h.rsc[tree.root].children.clear();
+    h.rsc[tree.root].children.push(tree.spare);
+    h.frame();
+    tree.leaf
+}
+
+#[test]
+fn a_subtree_that_changed_parents_is_not_undrawn_by_the_one_it_left() {
+    let mut warm = Harness::new((400, 200));
+    let tree = plant_handover(&mut warm, false, false, 40.0);
+    warm.frame();
+    let leaf = hand_over(&mut warm, tree);
+
+    let mut cold = Harness::new((400, 200));
+    let grown = plant_handover(&mut cold, true, false, 40.0);
+    cold.frame();
+
+    assert_eq!(
+        warm.region(&leaf),
+        cold.region(&grown.leaf),
+        "the span it left still listed it and undrew it"
+    );
+}
+
+#[test]
+fn a_subtree_that_changed_parents_settles_at_the_depth_it_moved_to() {
+    let mut warm = Harness::new((400, 200));
+    let tree = plant_handover(&mut warm, false, true, 40.0);
+    warm.frame();
+    let leaf = hand_over(&mut warm, tree);
+    // After it has changed hands, so what has to reach the new parent is a
+    // change made under the subtree it now holds.
+    warm.set_len(leaf, Axis::X, LayoutLen::px(90.0));
+    warm.frame();
+
+    let mut cold = Harness::new((400, 200));
+    let grown = plant_handover(&mut cold, true, true, 90.0);
+    cold.frame();
+
+    assert_eq!(
+        warm.region(&leaf),
+        cold.region(&grown.leaf),
+        "the span it moved to is the one the change has to reach"
+    );
+}
+
+fn primitive_bounds(h: &Harness, id: WidgetId) -> Vec<PixelRegion> {
+    h.render.active[&id]
+        .primitives
+        .iter()
+        .map(|primitive| {
+            let handle = &primitive.handle;
+            let instance = &h.render.layers[handle.layer].primitives()[handle.kind as usize]
+                .as_ref()
+                .unwrap()
+                .instances()[handle.inst_idx];
+            h.render
+                .moves
+                .resolve(instance.move_idx, instance.region)
+                .to_px(h.render.output_size())
+        })
+        .collect()
+}
+
+#[test]
+fn changing_an_inherited_extent_keeps_the_original_measurement_offer() {
+    fn build(h: &mut Harness, width: i32, text: &str) -> (WeakWidget<Text>, WeakWidget<Rect>) {
+        let first = rect(Color::RED).width(width).add(&mut h.rsc);
+        let words = wtext(text).size(20).wrap(true).add(&mut h.rsc);
+        let through = Stretchy {
+            inner: words.add_strong(&mut h.rsc),
+            draws: Rc::new(Cell::new(0)),
+        }
+        .add(&mut h.rsc);
+        h.set_root((first, through).span(Dir::RIGHT));
+        (words, first)
+    }
+    let short = "one two";
+    let long = "one two three four five six seven eight nine ten eleven twelve";
+    let mut warm = Harness::new((400, 200));
+    let (words, first) = build(&mut warm, 50, short);
+    warm.set_len(first, Axis::X, 200);
+    warm.frame();
+    *warm.rsc[words].content = long.to_string();
+    warm.frame();
+    let mut cold = Harness::new((400, 200));
+    let (other, _) = build(&mut cold, 200, long);
+    assert_eq!(warm.region(&words), cold.region(&other));
+    assert_eq!(
+        primitive_bounds(&warm, words.id()),
+        primitive_bounds(&cold, other.id())
+    );
+}
+
+#[test]
+fn widening_text_without_soft_breaks_reuses_its_drawing() {
+    struct CountedText {
+        text: Text,
+        draws: Rc<Cell<usize>>,
+    }
+    impl Widget for CountedText {
+        fn draw(&mut self, painter: &mut Painter) -> Size {
+            self.draws.set(self.draws.get() + 1);
+            self.text.draw(painter)
+        }
+    }
+    for content in ["Short text", "Two hard\nline breaks\nhere", ""] {
+        let plant = |h: &mut Harness| {
+            let mut text = Text::new(content);
+            text.wrap = true;
+            let draws = Rc::new(Cell::new(0));
+            let root = CountedText {
+                text,
+                draws: draws.clone(),
+            }
+            .add(&mut h.rsc);
+            h.set_root(root);
+            (root, draws)
+        };
+        let mut warm = Harness::new((300, 200));
+        let (root, draws) = plant(&mut warm);
+        let before = draws.get();
+        warm.resize((500, 200));
+        warm.frame();
+        assert_eq!(draws.get(), before, "{content:?}");
+        let mut cold = Harness::new((500, 200));
+        let (other, _) = plant(&mut cold);
+        assert_eq!(warm.region(&root), cold.region(&other));
+        assert_eq!(
+            primitive_bounds(&warm, root.id()),
+            primitive_bounds(&cold, other.id())
+        );
+    }
+}
+
+#[test]
+fn resizing_a_fixed_frame_recomposes_its_contents_without_drawing_them() {
+    struct Frame {
+        child: StrongWidget,
+        region: UiRegion,
+    }
+    impl Widget for Frame {
+        fn draw(&mut self, painter: &mut Painter) -> Size {
+            painter.widget_at(
+                &self.child,
+                UiRegion::FULL,
+                [
+                    Place::Within(Part::From(self.region.x)),
+                    Place::Within(Part::From(self.region.y)),
+                ],
+            );
+            Size::LEFTOVER
+        }
+    }
+    struct Painted(Rc<Cell<usize>>);
+    impl Widget for Painted {
+        fn draw(&mut self, painter: &mut Painter) -> Size {
+            self.0.set(self.0.get() + 1);
+            painter.set_mask(UiRegion::FULL);
+            painter.primitive(RectPrimitive::color(Color::BLUE));
+            Size::LEFTOVER
+        }
+    }
+    let fixed = |start, end| UiRegion::new(UiSpan::new(Len::px(start), Len::px(end)), UiSpan::FULL);
+    for node in [false, true] {
+        let plant = |h: &mut Harness, region| {
+            let draws = Rc::new(Cell::new(0));
+            let leaf = Painted(draws.clone()).add(&mut h.rsc);
+            h.rsc.widgets_mut().set_region_node(leaf, node);
+            let inner = Frame {
+                child: leaf.add_strong(&mut h.rsc),
+                region: UiRegion::new(UiSpan::new(Len::rel(0.23), Len::rel(0.83)), UiSpan::FULL),
+            }
+            .add_strong(&mut h.rsc);
+            let root = Frame {
+                child: inner,
+                region,
+            }
+            .add(&mut h.rsc);
+            h.set_root(root);
+            (root, leaf, draws)
+        };
+        let mut warm = Harness::new((400, 200));
+        let (root, leaf, draws) = plant(&mut warm, fixed(7.0, 104.0));
+        let before = draws.get();
+        warm.rsc[root].region = fixed(19.0, 180.0);
+        warm.frame();
+        assert_eq!(draws.get(), before);
+        let mut cold = Harness::new((400, 200));
+        let (_, other, _) = plant(&mut cold, fixed(19.0, 180.0));
+        assert_eq!(warm.region(&leaf), cold.region(&other));
+        assert_eq!(
+            primitive_bounds(&warm, leaf.id()),
+            primitive_bounds(&cold, other.id())
+        );
+        let mask = |h: &Harness, id: WidgetId| {
+            let active = &h.render.active[&id];
+            let mask = &h.rsc.ui().masks[active.mask.idx()];
+            h.render
+                .moves
+                .resolve(mask.move_idx, mask.region)
+                .to_px(h.render.output_size())
+        };
+        assert_eq!(mask(&warm, leaf.id()), mask(&cold, other.id()));
+    }
+}
+
+#[test]
+fn glyph_origins_compose_identically_when_drawn_and_when_retained() {
+    struct Glyphs {
+        buffer: TextBuffer,
+        draws: Rc<Cell<usize>>,
+    }
+    impl Widget for Glyphs {
+        fn draw(&mut self, painter: &mut Painter) -> Size {
+            self.draws.set(self.draws.get() + 1);
+            let text = painter.render_text(&mut self.buffer, &TextAttrs::default(), None);
+            let origin = UiRegion::new(
+                UiSpan::new(Len::rel(0.23) + Len::px(-7.125), Len::FULL),
+                UiSpan::new(Len::rel(0.37) + Len::px(3.25), Len::FULL),
+            );
+            painter.glyphs(text, origin);
+            Size::LEFTOVER
+        }
+    }
+    struct Frame {
+        child: StrongWidget,
+        region: UiRegion,
+        extent: UiRegion,
+    }
+    impl Widget for Frame {
+        fn draw(&mut self, painter: &mut Painter) -> Size {
+            painter.widget_at(
+                &self.child,
+                self.region,
+                [
+                    Place::Fill(Part::From(self.extent.x)),
+                    Place::Fill(Part::From(self.extent.y)),
+                ],
+            );
+            Size::LEFTOVER
+        }
+    }
+    for node in [false, true] {
+        let mut h = Harness::new((403, 211));
+        let draws = Rc::new(Cell::new(0));
+        let text = Glyphs {
+            buffer: TextBuffer::new("Glyphs: gj AV\nsecond line"),
+            draws: draws.clone(),
+        }
+        .add(&mut h.rsc);
+        h.rsc.widgets_mut().set_region_node(text, node);
+        let root = Frame {
+            child: text.add_strong(&mut h.rsc),
+            region: UiRegion::FULL,
+            extent: UiRegion::FULL,
+        }
+        .add(&mut h.rsc);
+        h.set_root(root);
+        for (start, end) in [(0.13, 0.83), (-0.17, 1.23), (0.31, 0.67)] {
+            let before = draws.get();
+            h.rsc[root].region.x = UiSpan::new(Len::px(13.125), Len::px(287.375));
+            h.rsc[root].extent = UiRegion::new(
+                UiSpan::new(Len::rel(start), Len::rel(end)),
+                UiSpan::new(Len::px(7.25), Len::rel(end)),
+            );
+            h.frame();
+            assert_eq!(draws.get(), before);
+            let retained = primitive_bounds(&h, text.id());
+            assert!(!retained.is_empty());
+            let _ = h.rsc.widgets_mut().get_dyn_mut(text.id());
+            h.frame();
+            assert!(draws.get() > before);
+            assert_eq!(retained, primitive_bounds(&h, text.id()));
+        }
+    }
+}
+
+#[test]
+fn resizing_does_not_remeasure_a_fixed_stack_for_its_unmeasured_overlay() {
+    let mut h = Harness::new((400, 200));
+    let (sizing, _) = counted(&mut h, Size::from((100, 80)), false);
+    let (overlay, draws) = counted(&mut h, Size::LEFTOVER, true);
+    h.set_root((sizing, overlay).stack().size(StackSize::Child(0)));
+    let settled = draws.get();
+
+    h.resize((800, 300));
+    h.frame();
+
+    assert_eq!(draws.get(), settled);
+    assert_corners!(h, overlay, (350, 110), (450, 190));
+}
+
+struct Unmeasured {
+    child: StrongWidget,
+    draws: Rc<Cell<usize>>,
+}
+
+impl Widget for Unmeasured {
+    fn draw(&mut self, painter: &mut Painter) -> Size {
+        self.draws.set(self.draws.get() + 1);
+        painter.widget(&self.child);
+        Size::LEFTOVER
+    }
+}
+
+#[test]
+fn a_declared_size_change_stops_at_an_independent_parent() {
+    let mut h = Harness::new((400, 200));
+    let leaf = rect(Color::RED).width(100).add(&mut h.rsc);
+    let parent = Unmeasured {
+        child: leaf.add_strong(&mut h.rsc),
+        draws: Rc::new(Cell::new(0)),
+    }
+    .add_strong(&mut h.rsc);
+    let draws = Rc::new(Cell::new(0));
+    h.set_root(Unmeasured {
+        child: parent,
+        draws: draws.clone(),
+    });
+    let settled = draws.get();
+
+    h.set_len(leaf, Axis::X, 150);
+    h.frame();
+
+    assert_corners!(h, leaf, (125, 0), (275, 200));
+    assert_eq!(draws.get(), settled);
+}
+
+#[test]
+fn an_unmeasured_child_still_invalidates_its_parents_drawing_on_resize() {
+    let mut h = Harness::new((400, 200));
+    let draws = Rc::new(Cell::new(0));
+    let leaf = ReadsWidth {
+        draws: draws.clone(),
+    }
+    .add(&mut h.rsc);
+    h.set_root((leaf,).stack());
+    let settled = draws.get();
+
+    h.resize((800, 200));
+    h.frame();
+
+    assert!(draws.get() > settled);
+    assert_corners!(h, leaf, (300, 90), (500, 110));
+}
+
+#[test]
+fn changed_drawing_dependencies_reach_ancestors_without_a_size_change() {
+    let mut h = Harness::new((400, 200));
+    let (leaf, draws) = counted(&mut h, Size::LEFTOVER, false);
+    h.set_root(((leaf,).stack(),).stack());
+
+    h.rsc[leaf].reads_box = true;
+    h.frame();
+    let settled = draws.get();
+    h.resize((800, 200));
+    h.frame();
+
+    assert_eq!(draws.get(), settled + 1);
+    assert_corners!(h, leaf, (0, 0), (800, 200));
+}
+
+#[test]
+fn widening_and_restoring_a_contract_does_not_invalidate_its_reader() {
+    let mut h = Harness::new((400, 200));
+    let (leaf, leaf_draws) = counted(&mut h, Size::LEFTOVER, true);
+    let draws = Rc::new(Cell::new(0));
+    let child = leaf.add_strong(&mut h.rsc);
+    h.set_root(Unmeasured {
+        child,
+        draws: draws.clone(),
+    });
+    let settled = draws.get();
+    for reads_box in [false, true, false, true] {
+        h.rsc[leaf].reads_box = reads_box;
+        h.frame();
+        assert_eq!(draws.get(), settled);
+    }
+    let settled = leaf_draws.get();
+    h.resize((800, 200));
+    h.frame();
+    assert_eq!(leaf_draws.get(), settled + 1);
+}
+#[test]
+fn padding_and_stack_boxes_follow_the_extent_without_drawing_again() {
+    struct Observed<W> {
+        widget: W,
+        draws: Rc<Cell<usize>>,
+    }
+    impl<W: Widget> Widget for Observed<W> {
+        fn draw(&mut self, painter: &mut Painter) -> Size {
+            self.draws.set(self.draws.get() + 1);
+            self.widget.draw(painter)
+        }
+    }
+    struct Frame {
+        child: StrongWidget,
+        extent: UiRegion,
+    }
+    impl Widget for Frame {
+        fn draw(&mut self, painter: &mut Painter) -> Size {
+            painter.widget_at(
+                &self.child,
+                UiRegion::FULL,
+                [
+                    Place::Fill(Part::From(self.extent.x)),
+                    Place::Fill(Part::From(self.extent.y)),
+                ],
+            );
+            Size::LEFTOVER
+        }
+    }
+    for node in [false, true] {
+        let plant = |h: &mut Harness, extent| {
+            let draws = Rc::new(Cell::new(0));
+            let leaf = rect(Color::BLUE).masked().add(&mut h.rsc);
+            h.rsc.widgets_mut().set_region_node(leaf, node);
+            let fixed = rect(Color::RED).width(31).height(19).add(&mut h.rsc);
+            let stack = Observed {
+                widget: Stack {
+                    children: vec![leaf.add_strong(&mut h.rsc), fixed.add_strong(&mut h.rsc)],
+                    size: StackSize::Default,
+                },
+                draws: draws.clone(),
+            }
+            .add_strong(&mut h.rsc);
+            let pad = Observed {
+                widget: Pad {
+                    inner: stack,
+                    padding: Padding::uniform(7).with_left(13),
+                },
+                draws: draws.clone(),
+            }
+            .add_strong(&mut h.rsc);
+            let root = Frame { child: pad, extent }.add(&mut h.rsc);
+            h.set_root(root);
+            (root, leaf, fixed, draws)
+        };
+        // The same box in three places. A pad places its child as lengths of
+        // its own box measured from where that box starts, so moving it is
+        // nothing to the pad -- where changing its length is a different
+        // question, and does draw it again.
+        let at = |start: f32| {
+            let span = |start: Len| UiSpan::new(start, start + Len::rel(0.4));
+            UiRegion::new(span(Len::rel(start) + Len::px(3.125)), span(Len::px(11.25)))
+        };
+        let mut warm = Harness::new((403, 211));
+        let (root, leaf, fixed, draws) = plant(&mut warm, at(0.13));
+        for start in [0.13, -0.17, 0.31] {
+            let extent = at(start);
+            let before = draws.get();
+            warm.rsc[root].extent = extent;
+            warm.frame();
+            assert_eq!(draws.get(), before);
+            let mut cold = Harness::new((403, 211));
+            let (_, other, other_fixed, _) = plant(&mut cold, extent);
+            for (a, b) in [(leaf.id(), other.id()), (fixed.id(), other_fixed.id())] {
+                assert_eq!(warm.region(&a), cold.region(&b));
+                assert_eq!(primitive_bounds(&warm, a), primitive_bounds(&cold, b));
+            }
+            let mask = |h: &Harness, id: WidgetId| {
+                let active = &h.render.active[&id];
+                let mask = &h.rsc.ui().masks[active.mask.idx()];
+                h.render
+                    .moves
+                    .resolve(mask.move_idx, mask.region)
+                    .to_px(h.render.output_size())
+            };
+            assert_eq!(mask(&warm, leaf.id()), mask(&cold, other.id()));
+        }
+    }
+}
+
+#[test]
+fn moving_an_extent_child_preserves_the_slot_chosen_from_its_measurement() {
+    struct Measured;
+    impl Widget for Measured {
+        fn draw(&mut self, painter: &mut Painter) -> Size {
+            let width = painter.px_len(Axis::X);
+            painter.primitive(RectPrimitive::color(Color::BLUE));
+            Size::from((80, if width > Px::from_int(100) { 40 } else { 60 }))
+        }
+    }
+    struct Frame {
+        child: StrongWidget,
+        start: f32,
+    }
+    impl Widget for Frame {
+        fn draw(&mut self, painter: &mut Painter) -> Size {
+            painter.widget_at(
+                &self.child,
+                UiRegion::FULL,
+                [
+                    Place::Fill(Part::From(UiSpan::new(
+                        Len::px(self.start),
+                        Len::px(self.start + 200.0),
+                    ))),
+                    Place::Fill(Part::From(UiSpan::FULL)),
+                ],
+            );
+            Size::LEFTOVER
+        }
+    }
+    let mut h = Harness::new((400, 200));
+    let leaf = Measured.add(&mut h.rsc);
+    let stack = (leaf,).stack().add_strong(&mut h.rsc);
+    let root = Frame {
+        child: stack,
+        start: 0.0,
+    }
+    .add(&mut h.rsc);
+    h.set_root(root);
+    assert_corners!(h, leaf, (60, 80), (140, 120));
+    h.rsc[root].start = 30.0;
+    h.frame();
+    assert_corners!(h, leaf, (90, 80), (170, 120));
+    assert_eq!(
+        primitive_bounds(&h, leaf.id()),
+        vec![h.region(&leaf).unwrap()]
+    );
+}
+
+#[test]
+fn extent_frames_keep_fractional_reports_and_numeric_dependencies_valid() {
+    struct Container {
+        child: StrongWidget,
+        region: UiRegion,
+    }
+    impl Widget for Container {
+        fn draw(&mut self, painter: &mut Painter) -> Size {
+            painter
+                .widget_at(
+                    &self.child,
+                    UiRegion::FULL,
+                    [
+                        Place::Within(Part::From(self.region.x)),
+                        Place::Within(Part::From(self.region.y)),
+                    ],
+                )
+                .size()
+        }
+    }
+    struct Frame {
+        child: StrongWidget,
+        extent: UiRegion,
+        answer: Rc<Cell<Size>>,
+    }
+    impl Widget for Frame {
+        fn draw(&mut self, painter: &mut Painter) -> Size {
+            self.answer.set(
+                painter
+                    .widget_at(
+                        &self.child,
+                        UiRegion::FULL,
+                        [
+                            Place::Fill(Part::From(self.extent.x)),
+                            Place::Fill(Part::From(self.extent.y)),
+                        ],
+                    )
+                    .size(),
+            );
+            Size::LEFTOVER
+        }
+    }
+    for fractional in [false, true] {
+        for region in [
+            UiRegion::FULL,
+            UiRegion::new(UiSpan::new(Len::rel(0.13), Len::rel(0.79)), UiSpan::FULL),
+        ] {
+            let plant = |h: &mut Harness, extent| {
+                let size = if fractional {
+                    Size {
+                        x: rel(0.5),
+                        y: LayoutLen::px(27),
+                    }
+                } else {
+                    Size::from((80, 27))
+                };
+                let (leaf, _) = counted(h, size, !fractional);
+                let child = Container {
+                    child: leaf.add_strong(&mut h.rsc),
+                    region,
+                }
+                .add_strong(&mut h.rsc);
+                let answer = Rc::new(Cell::new(Size::ZERO));
+                let root = Frame {
+                    child,
+                    extent,
+                    answer: answer.clone(),
+                }
+                .add(&mut h.rsc);
+                h.set_root(root);
+                (root, leaf, answer)
+            };
+            let mut warm = Harness::new((403, 211));
+            let (root, leaf, answer) = plant(&mut warm, UiRegion::FULL);
+            for width in [191.125, 297.25, 83.75] {
+                let extent =
+                    UiRegion::new(UiSpan::new(Len::px(13.125), Len::px(width)), UiSpan::FULL);
+                warm.rsc[root].extent = extent;
+                warm.frame();
+                let mut cold = Harness::new((403, 211));
+                let (_, other, other_answer) = plant(&mut cold, extent);
+                assert_eq!(answer.get(), other_answer.get());
+                assert_eq!(warm.region(&leaf), cold.region(&other));
+            }
+        }
+    }
+}

tests/cases/scroll.rs

@@ -71,7 +71,7 @@ fn a_clipping_widget_reporting_more_than_its_box_is_caught() {
 
     impl Widget for Clipper {
         fn draw(&mut self, painter: &mut Painter) -> Size {
-            painter.set_mask(painter.region());
+            painter.set_mask(UiRegion::FULL);
             painter.widget(&self.0).size()
         }
     }

tests/cases/unsettled.rs

@@ -614,3 +614,61 @@ fn a_text_is_given_back_a_box_the_line_it_measured_fits_in() {
 
     assert_eq!(warm.region(&text), cold.region(&cold_text));
 }
+
+#[test]
+fn adding_text_to_a_reverse_row_keeps_its_shared_height() {
+    fn build(
+        h: &mut Harness,
+        changed: bool,
+    ) -> (WeakWidget<Span>, WeakWidget<Text>, Vec<StrongWidget>) {
+        let wrap = wtext("Wrapping shapes one source into as many lines as the box leaves room for, so a paragraph's height is an answer and not a setting.").size(16).wrap(true).add_strong(&mut h.rsc);
+        let one = || {
+            wtext("one line, overflowing whatever it is given")
+                .size(16)
+                .wrap(false)
+        };
+        let plain = one().add_strong(&mut h.rsc);
+        let shared = one()
+            .width(LayoutLen::LEFTOVER)
+            .height(LayoutLen::LEFTOVER)
+            .add(&mut h.rsc);
+        let mut extra: Vec<StrongWidget> = vec![
+            rect(Color::RED).add_strong(&mut h.rsc),
+            one().add_strong(&mut h.rsc),
+            one().add_strong(&mut h.rsc),
+        ];
+        let children: Vec<StrongWidget> = if changed {
+            let mut children: Vec<StrongWidget> = vec![plain, shared.add_strong(&mut h.rsc)];
+            children.append(&mut extra);
+            children
+        } else {
+            vec![wrap, plain, shared.add_strong(&mut h.rsc)]
+        };
+        let row = Span {
+            children,
+            dir: Dir::LEFT,
+            gap: Px::ZERO,
+        }
+        .height(LayoutLen::rel(1.0))
+        .add(&mut h.rsc);
+        let fill: StrongWidget = rect(Color::BLUE).add_strong(&mut h.rsc);
+        let children: Vec<StrongWidget> = vec![fill, row.add_strong(&mut h.rsc)];
+        let root = Span {
+            children,
+            dir: Dir::RIGHT,
+            gap: Px::from_int(4),
+        }
+        .height(LayoutLen::rel(1.0))
+        .add(&mut h.rsc);
+        h.set_root(root);
+        (row, shared, extra)
+    }
+    let mut warm = Harness::new((900, 1200));
+    let (row, shared, extra) = build(&mut warm, false);
+    warm.rsc[row].children.remove(0);
+    warm.rsc[row].children.extend(extra);
+    warm.frame();
+    let mut cold = Harness::new((900, 1200));
+    let (_, other, _) = build(&mut cold, true);
+    assert_eq!(warm.region(&shared), cold.region(&other));
+}

tests/layout_diagnostics.rs

@@ -5,11 +5,11 @@
 //!     cargo test --release --features layout-diagnostics \
 //!       --test layout_diagnostics -- --ignored --nocapture
 //!
-//! Uninstrumented hardware totals for one phase:
+//! Build the uninstrumented test with `cargo test --release --test
+//! layout_diagnostics --no-run`, then run the emitted executable directly:
 //!
-//!     IRIS_PHASE=resize IRIS_FRAMES=1000 perf stat \
-//!       -e cycles:u,instructions:u cargo test --release \
-//!       --test layout_diagnostics -- --ignored --nocapture
+//!     IRIS_PHASE=resize IRIS_FRAMES=10000 perf stat -r 7 \
+//!       -e cycles:u,instructions:u /path/to/layout_diagnostics --ignored --nocapture
 //!
 //! `IRIS_PHASE` is `cold`, `repaint`, `many`, `size`, `scroll`, `resize`, or
 //! `all`. `IRIS_SEED`, `IRIS_DEPTH`, and `IRIS_FRAMES` select the load, and
@@ -134,6 +134,9 @@ fn report(label: &str, mut elapsed: Vec<f64>, _harness: &Harness) {
     {
         let diagnostics = iris::core::layout_diagnostics::take();
         print!("{}", diagnostics.per_frame(frames));
+        for event in diagnostics.traces() {
+            println!("    {event:?}");
+        }
         for callsite in diagnostics.hot_text().iter().take(3) {
             let mut ancestry = Vec::new();
             let mut id = Some(callsite.id);

tests/scenario/mod.rs

@@ -42,21 +42,6 @@ const OUTER: (f32, f32) = (1920.0, 1200.0);
 const INNER: (f32, f32) = (640.0, 900.0);
 const STILL: (f32, f32) = (900.0, 1200.0);
 
-/// The same box, to two steps of the grid between the two ways of reaching
-/// it. A move, a repaint, a row of shares and every length in pixels land on
-/// the same number. What needs the slack is a position: a box centred in a
-/// fraction of its parent against the same box centred in its own pixels,
-/// and a box re-expressed as a fraction of a parent that changed length.
-/// A step is a thousandth of a pixel, where this was a twentieth of one
-/// before any of it was on a grid.
-///
-/// **One step is not enough**, tried 2026-09-17 once a length in pixels
-/// stopped being composed: it passes the 100-seed oracle and fails the
-/// 400-seed shrinker on `resize-size`, seeds 384 and 162, by 0.002 px. So
-/// what is left here is the resize path's own rounding rather than a length
-/// reached two ways.
-const AGREE_STEPS: i32 = 2;
-
 /// A way of changing what a span holds. Each is a shape worth its own case:
 /// taking a child out of the middle is not the same as emptying a span, and
 /// adding one is not the same as adding three.
@@ -399,20 +384,6 @@ fn describe_widget(id: WidgetId, h: &Harness) -> String {
     label
 }
 
-fn same_region(got: Option<PixelRegion>, want: Option<PixelRegion>) -> bool {
-    match (got, want) {
-        (Some(got), Some(want)) => {
-            let same = |a: Px, b: Px| (a - b).abs() <= Px::STEP.mul_int(AGREE_STEPS);
-            same(got.top_left.x, want.top_left.x)
-                && same(got.top_left.y, want.top_left.y)
-                && same(got.bot_right.x, want.bot_right.x)
-                && same(got.bot_right.y, want.bot_right.y)
-        }
-        (None, None) => true,
-        _ => false,
-    }
-}
-
 /// Runs `case` on the tree `plan` describes, warm and cold, and says where
 /// the two disagree. `seed` chooses only the values a case picks at random,
 /// so one plan under one case is one comparison however it was reached.
@@ -439,7 +410,7 @@ pub fn diverges(plan: &Plan, case: Case, seed: u64) -> Option<String> {
     for (i, (&w, &c)) in tree.ids.iter().zip(&cold_tree.ids).enumerate() {
         let (got, want) = (warm.region(&w), cold.region(&c));
         drawn += got.is_some() as usize;
-        if same_region(got, want) {
+        if got == want {
             continue;
         }
         // Where two trees disagree is rarely where the cause is, so the