Experiment: say the room from the cursor as an inset, and read the row's length only where a slot depends on it

Measured identical to its parent at every phase of the cost rig; kept as
evidence, not proposed for landing.

Cargo.toml

@@ -25,6 +25,12 @@ tokio = { workspace = true, features = ["sync", "rt", "rt-multi-thread", "time"]
 [workspace]
 members = ["core", "macro", "rig-input"]
 
+[profile.dev]
+debug = 1
+
+[profile.test]
+debug = "line-tables-only"
+
 [workspace.package]
 version = "0.1.0"
 edition = "2024"

core/src/fixed.rs

@@ -0,0 +1,574 @@
+use crate::{UiNum, util::Vec2};
+use std::{
+    fmt::{Debug, Display, Formatter},
+    ops::{Add, AddAssign, Div, Mul, Neg, Sub, SubAssign},
+};
+
+/// A number held as a whole count of `1 / 2^SHIFT`.
+///
+/// Layout reaches one place by more than one route -- a box composed down the
+/// chain, and the same box summed from what its children asked for -- and has
+/// to decide whether the two are the same place. In floats they land a few
+/// bits apart, which is a defect wherever the answer changes what is drawn
+/// rather than where. Here adding and subtracting are exact, a multiply
+/// drops to the step below, and a conversion between grids takes the nearest
+/// one, so two routes to one place land on one number and everything
+/// downstream compares for equality instead of for nearness.
+///
+/// `SHIFT` is the number of fractional bits, which is what makes the steps
+/// divide a whole number: a power of two also converts to `f32` without
+/// rounding while the value fits in its mantissa.
+///
+/// Arithmetic wraps at the ends of the range, the way the `i32` underneath
+/// does. Saturating instead was measured at a twelfth of layout's
+/// instructions -- five per add against one -- to keep the ordering of
+/// coordinates two million pixels out, where nothing draws anyway. A value
+/// off the end is a defect either way; wrapping makes it an obvious one.
+/// Only [`Self::from_f32`] clamps, since a float has further to come from.
+#[repr(transparent)]
+#[derive(
+    Clone, Copy, PartialEq, Eq, PartialOrd, Ord, Hash, Default, bytemuck::Pod, bytemuck::Zeroable,
+)]
+pub struct Fixed<const SHIFT: u32>(i32);
+
+/// A length or a coordinate in pixels, in steps of `1/1024`. Finer than
+/// anything a display can show, and exact in `f32` up to 16,384 px, which is
+/// what lets the same number reach the GPU.
+pub type Px = Fixed<PX_SHIFT>;
+
+/// How many bits of a pixel a [`Px`] keeps. One place, because [`PxVec2`]
+/// and the shader's own decoding are the same grid or nothing lines up.
+pub const PX_SHIFT: u32 = 10;
+
+/// A share of what a box has left over, which is a weight beside its
+/// siblings rather than a fraction of anything: a list divides its room by
+/// the total of these, so the range has to hold a whole list's worth and the
+/// precision only has to tell two weights apart.
+pub type Weight = Fixed<16>;
+
+/// A fraction of a box. Twenty-four bits of it, which matches `f32` around a
+/// half and beats it above one -- where anchors actually sit -- and leaves
+/// +/-128 of range, enough to sum a hundred children each asking for a whole
+/// box. A `leftover` weight is not one of these: it is a share of what is
+/// left rather than a fraction of anything, and it sums over a whole list.
+pub type Rel = Fixed<REL_SHIFT>;
+
+/// How many bits of a box a [`Rel`] keeps, beside [`PX_SHIFT`] and for the
+/// same reason.
+pub const REL_SHIFT: u32 = 24;
+
+impl<const SHIFT: u32> Fixed<SHIFT> {
+    pub const ZERO: Self = Self(0);
+    pub const ONE: Self = Self::one();
+    /// The gap between neighbouring values, which is also how far apart two
+    /// numbers can be and still mean the same place.
+    pub const STEP: Self = Self(1);
+    /// Also what stands in for an unbounded end: compared against, never
+    /// added to, since arithmetic wraps past it.
+    pub const MIN: Self = Self(i32::MIN);
+    pub const MAX: Self = Self(i32::MAX);
+
+    const fn one() -> Self {
+        assert!(SHIFT < 31, "a Fixed needs a bit for the whole part");
+        Self(1 << SHIFT)
+    }
+
+    pub const fn from_raw(raw: i32) -> Self {
+        Self(raw)
+    }
+
+    /// The count of steps, for a caller that needs the representation rather
+    /// than the number.
+    pub const fn raw(self) -> i32 {
+        self.0
+    }
+
+    pub const fn from_int(v: i32) -> Self {
+        Self(v.wrapping_mul(Self::one().0))
+    }
+
+    /// Rounds to the nearest step, and clamps to the ends of the grid rather
+    /// than wrapping: this is where a number from outside arrives, and a float
+    /// has the range to be anywhere. A NaN has no nearest step and becomes
+    /// zero, which is a caller's mistake rather than a value worth carrying.
+    ///
+    /// Half-away is written out rather than called through `f32::round`,
+    /// which is not `const`: a layout constant has to stay a constant.
+    pub const fn from_f32(v: f32) -> Self {
+        debug_assert!(!v.is_nan(), "a NaN has no place on the grid");
+        let scaled = v * Self::one().0 as f32;
+        // Above 2^23 an `f32` has no fractional part left to round, and
+        // adding a half there rounds the number itself up instead. The cast
+        // saturates at both ends and sends NaN to zero, which is the
+        // behaviour wanted at both.
+        const WHOLE: f32 = (1 << 23) as f32;
+        Self(match (scaled >= WHOLE, scaled <= -WHOLE, scaled < 0.0) {
+            (true, _, _) | (_, true, _) => scaled as i32,
+            (_, _, true) => (scaled - 0.5) as i32,
+            _ => (scaled + 0.5) as i32,
+        })
+    }
+
+    /// The first step at or above `v`, where [`Self::from_f32`] takes the
+    /// nearest one and is below it half the time. For a bound that has to
+    /// admit the value it came from: a measurement rounded down is a bound
+    /// that leaves out the thing it was measured from.
+    pub const fn ceil_from_f32(v: f32) -> Self {
+        let nearest = Self::from_f32(v);
+        match nearest.to_f32() < v {
+            true => nearest.next_up(),
+            false => nearest,
+        }
+    }
+
+    /// From a number as it is written in source -- `16`, `1.5` -- which is
+    /// the other place a value enters the grid.
+    pub fn from_num(v: impl UiNum) -> Self {
+        Self::from_f32(v.to_f32())
+    }
+
+    pub const fn to_f32(self) -> f32 {
+        self.0 as f32 / Self::one().0 as f32
+    }
+
+    /// The same value on another grid, rounded where the new one is coarser.
+    pub const fn to_scale<const TO: u32>(self) -> Fixed<TO> {
+        Fixed(match TO >= SHIFT {
+            true => self.0 << (TO - SHIFT),
+            false => shift_round(self.0 as i64, SHIFT - TO) as i32,
+        })
+    }
+
+    pub const fn add(self, rhs: Self) -> Self {
+        Self(self.0.wrapping_add(rhs.0))
+    }
+
+    pub const fn sub(self, rhs: Self) -> Self {
+        Self(self.0.wrapping_sub(rhs.0))
+    }
+
+    pub const fn neg(self) -> Self {
+        Self(self.0.wrapping_neg())
+    }
+
+    /// Scaled by a number on any grid, which is how a length takes a fraction
+    /// of itself and keeps being a length: the product is measured in the
+    /// receiver's steps.
+    ///
+    /// Dropped to the step below rather than taken to the nearest one
+    /// (Bryan, 2026-09-16), which costs a share a thousandth of a pixel of
+    /// its row -- less than an even number of pixels draws. Toward negative
+    /// infinity on both sides of zero, since that is a shift and nothing
+    /// else: a value and its negation therefore land different distances
+    /// from where they came, so a flipped span can sit a step from its
+    /// mirror image.
+    pub const fn mul<const BY: u32>(self, by: Fixed<BY>) -> Self {
+        Self(((self.0 as i64 * by.0 as i64) >> BY) as i32)
+    }
+
+    /// Repeated a whole number of times, which no grid rounds.
+    pub const fn mul_int(self, by: i32) -> Self {
+        Self(self.0.wrapping_mul(by))
+    }
+
+    /// Divided into a whole number of parts, rounded to the nearest step.
+    pub const fn div_int(self, by: i32) -> Self {
+        debug_assert!(by != 0, "no part of nothing");
+        if by == 0 {
+            return Self::ZERO;
+        }
+        Self(div_round(self.0 as i64, by as i64) as i32)
+    }
+
+    /// Divided by a number on any grid. A zero divisor is a caller bug -- a
+    /// box of no length has no fraction of itself -- and answers with the end
+    /// of the range so that a release build lays out something absurd rather
+    /// than dying.
+    pub const fn div<const BY: u32>(self, by: Fixed<BY>) -> Self {
+        debug_assert!(by.0 != 0, "dividing by a length of zero");
+        if by.0 == 0 {
+            return match self.0 < 0 {
+                true => Self::MIN,
+                false => Self::MAX,
+            };
+        }
+        Self(div_round((self.0 as i64) << BY, by.0 as i64) as i32)
+    }
+
+    /// `num / den` on *this* grid rather than on theirs, for weights coarser
+    /// than the share they divide.
+    pub const fn ratio<const OF: u32>(num: Fixed<OF>, den: Fixed<OF>) -> Self {
+        debug_assert!(den.0 != 0, "no part of a whole of nothing");
+        if den.0 == 0 {
+            return Self::ZERO;
+        }
+        Self(div_round((num.0 as i64) << SHIFT, den.0 as i64) as i32)
+    }
+
+    /// `from` and `to` a fraction of the way apart, the fraction being the
+    /// receiver -- the argument order [`crate::util::LerpUtil`] already uses.
+    pub const fn lerp<const OF: u32>(self, from: Fixed<OF>, to: Fixed<OF>) -> Fixed<OF> {
+        from.add(to.sub(from).mul(self))
+    }
+
+    pub const fn min(self, other: Self) -> Self {
+        match self.0 < other.0 {
+            true => self,
+            false => other,
+        }
+    }
+
+    pub const fn max(self, other: Self) -> Self {
+        match self.0 > other.0 {
+            true => self,
+            false => other,
+        }
+    }
+
+    pub const fn abs(self) -> Self {
+        Self(self.0.wrapping_abs())
+    }
+
+    pub const fn clamp(self, lo: Self, hi: Self) -> Self {
+        debug_assert!(lo.0 <= hi.0, "an empty clamp has no answer");
+        self.max(lo).min(hi)
+    }
+
+    /// The next value along, for an interval that must not admit its own
+    /// boundary. The step is the whole gap, so there is nothing to exclude
+    /// between this and the boundary itself.
+    pub const fn next_up(self) -> Self {
+        Self(self.0.wrapping_add(1))
+    }
+
+    pub const fn next_down(self) -> Self {
+        Self(self.0.wrapping_sub(1))
+    }
+}
+
+/// Back to a single step, rounding halves away from zero so that a value and
+/// its negation round to the same distance.
+const fn shift_round(v: i64, bits: u32) -> i64 {
+    let half = (1i64 << bits) >> 1;
+    match v < 0 {
+        true => -((-v + half) >> bits),
+        false => (v + half) >> bits,
+    }
+}
+
+const fn div_round(num: i64, den: i64) -> i64 {
+    let (q, rem) = (num / den, num % den);
+    match rem.unsigned_abs() * 2 >= den.unsigned_abs() {
+        true => match (num < 0) == (den < 0) {
+            true => q + 1,
+            false => q - 1,
+        },
+        false => q,
+    }
+}
+
+/// Toward positive infinity when `up`, toward negative infinity otherwise.
+pub(crate) const fn div_toward(num: i64, den: i64, up: bool) -> i64 {
+    let (q, rem) = (num / den, num % den);
+    if rem == 0 {
+        return q;
+    }
+    match (rem < 0) == (den < 0) {
+        true => q + up as i64,
+        false => q - !up as i64,
+    }
+}
+
+/// Clamped to the ends, unlike a [`Fixed`]'s own arithmetic: a range of box
+/// lengths that runs past `i32` really is unbounded.
+pub(crate) const fn narrow(v: i64) -> i32 {
+    if v > i32::MAX as i64 {
+        return i32::MAX;
+    }
+    if v < i32::MIN as i64 {
+        return i32::MIN;
+    }
+    v as i32
+}
+
+const impl<const SHIFT: u32> Add for Fixed<SHIFT> {
+    type Output = Self;
+
+    fn add(self, rhs: Self) -> Self {
+        Fixed::add(self, rhs)
+    }
+}
+
+const impl<const SHIFT: u32> Sub for Fixed<SHIFT> {
+    type Output = Self;
+
+    fn sub(self, rhs: Self) -> Self {
+        Fixed::sub(self, rhs)
+    }
+}
+
+const impl<const SHIFT: u32> Neg for Fixed<SHIFT> {
+    type Output = Self;
+
+    fn neg(self) -> Self {
+        Fixed::neg(self)
+    }
+}
+
+const impl<const SHIFT: u32> AddAssign for Fixed<SHIFT> {
+    fn add_assign(&mut self, rhs: Self) {
+        *self = Fixed::add(*self, rhs);
+    }
+}
+
+const impl<const SHIFT: u32> SubAssign for Fixed<SHIFT> {
+    fn sub_assign(&mut self, rhs: Self) {
+        *self = Fixed::sub(*self, rhs);
+    }
+}
+
+const impl<const SHIFT: u32, const BY: u32> Mul<Fixed<BY>> for Fixed<SHIFT> {
+    type Output = Self;
+
+    fn mul(self, rhs: Fixed<BY>) -> Self {
+        Fixed::mul(self, rhs)
+    }
+}
+
+const impl<const SHIFT: u32, const BY: u32> Div<Fixed<BY>> for Fixed<SHIFT> {
+    type Output = Self;
+
+    fn div(self, rhs: Fixed<BY>) -> Self {
+        Fixed::div(self, rhs)
+    }
+}
+
+impl<const SHIFT: u32> Display for Fixed<SHIFT> {
+    fn fmt(&self, f: &mut Formatter<'_>) -> std::fmt::Result {
+        Display::fmt(&self.to_f32(), f)
+    }
+}
+
+/// Prints the number rather than the count of steps: a failing layout test
+/// reports boxes, and `1126` is not a height anybody can read.
+impl<const SHIFT: u32> Debug for Fixed<SHIFT> {
+    fn fmt(&self, f: &mut Formatter<'_>) -> std::fmt::Result {
+        Display::fmt(&self.to_f32(), f)
+    }
+}
+
+/// Two of them, for the places a size or a position needs both axes: a
+/// window, a box in pixels, a pointer. Held apart from [`crate::util::Vec2`]
+/// because that one is what the GPU and the platform speak.
+#[repr(C)]
+#[derive(Clone, Copy, PartialEq, Eq, Hash, Default)]
+pub struct FixedVec2<const SHIFT: u32> {
+    pub x: Fixed<SHIFT>,
+    pub y: Fixed<SHIFT>,
+}
+
+pub type PxVec2 = FixedVec2<PX_SHIFT>;
+
+impl<const SHIFT: u32> FixedVec2<SHIFT> {
+    pub const ZERO: Self = Self::splat(Fixed::ZERO);
+
+    pub const fn new(x: Fixed<SHIFT>, y: Fixed<SHIFT>) -> Self {
+        Self { x, y }
+    }
+
+    pub const fn splat(v: Fixed<SHIFT>) -> Self {
+        Self { x: v, y: v }
+    }
+
+    pub fn from_f32(v: Vec2) -> Self {
+        Self::new(Fixed::from_f32(v.x), Fixed::from_f32(v.y))
+    }
+
+    /// The first step at or above each part, for a measurement reported as a
+    /// box: what it occupies is not less than what was measured.
+    pub fn ceil_from_f32(v: Vec2) -> Self {
+        Self::new(Fixed::ceil_from_f32(v.x), Fixed::ceil_from_f32(v.y))
+    }
+
+    pub fn to_f32(self) -> Vec2 {
+        Vec2::new(self.x.to_f32(), self.y.to_f32())
+    }
+
+    pub const fn div_int(self, by: i32) -> Self {
+        Self::new(self.x.div_int(by), self.y.div_int(by))
+    }
+
+    pub const fn min(self, other: Self) -> Self {
+        Self::new(self.x.min(other.x), self.y.min(other.y))
+    }
+
+    pub const fn max(self, other: Self) -> Self {
+        Self::new(self.x.max(other.x), self.y.max(other.y))
+    }
+}
+
+// `impl_op!` names one concrete type, and this one is generic.
+const impl<const SHIFT: u32> Add for FixedVec2<SHIFT> {
+    type Output = Self;
+
+    fn add(self, rhs: Self) -> Self {
+        Self::new(self.x.add(rhs.x), self.y.add(rhs.y))
+    }
+}
+
+const impl<const SHIFT: u32> Sub for FixedVec2<SHIFT> {
+    type Output = Self;
+
+    fn sub(self, rhs: Self) -> Self {
+        Self::new(self.x.sub(rhs.x), self.y.sub(rhs.y))
+    }
+}
+
+const impl<const SHIFT: u32> AddAssign for FixedVec2<SHIFT> {
+    fn add_assign(&mut self, rhs: Self) {
+        *self = Add::add(*self, rhs);
+    }
+}
+
+const impl<const SHIFT: u32> SubAssign for FixedVec2<SHIFT> {
+    fn sub_assign(&mut self, rhs: Self) {
+        *self = Sub::sub(*self, rhs);
+    }
+}
+
+impl<const SHIFT: u32> Debug for FixedVec2<SHIFT> {
+    fn fmt(&self, f: &mut Formatter<'_>) -> std::fmt::Result {
+        write!(f, "({}, {})", self.x, self.y)
+    }
+}
+
+impl<const SHIFT: u32> Display for FixedVec2<SHIFT> {
+    fn fmt(&self, f: &mut Formatter<'_>) -> std::fmt::Result {
+        write!(f, "({}, {})", self.x, self.y)
+    }
+}
+
+#[cfg(test)]
+mod tests {
+    use super::*;
+
+    #[test]
+    fn a_sum_of_steps_does_not_drift() {
+        let mut at = Px::ZERO;
+        for _ in 0..20_000 {
+            at += Px::from_raw(3);
+        }
+        assert_eq!(at, Px::from_raw(60_000));
+        for _ in 0..20_000 {
+            at -= Px::from_raw(3);
+        }
+        assert_eq!(at, Px::ZERO);
+    }
+
+    #[test]
+    fn a_pixel_survives_the_trip_through_f32() {
+        for raw in [0, 1, -1, 64, -1000, 16_777_215, -16_777_215] {
+            let px = Px::from_raw(raw);
+            assert_eq!(Px::from_f32(px.to_f32()), px);
+        }
+    }
+
+    #[test]
+    fn a_fraction_of_a_length_is_a_length() {
+        let half = Px::from_int(100) * Rel::from_f32(0.5);
+        assert_eq!(half, Px::from_int(50));
+        assert_eq!(Px::from_int(100) * Rel::ONE, Px::from_int(100));
+        assert_eq!(Px::from_int(100) * Rel::ZERO, Px::ZERO);
+    }
+
+    /// Toward negative infinity on both sides of zero, which is what makes
+    /// it a shift rather than a shift and a sign branch -- and what makes a
+    /// value and its negation land different distances from where they came,
+    /// so a flipped span can sit a step from its mirror image.
+    #[test]
+    fn a_multiply_drops_to_the_step_below_on_both_sides_of_zero() {
+        // A step and a half of one, which has no step of its own.
+        let step_and_a_half = Rel::from_f32(1.5).div_int(Px::ONE.raw());
+        assert_eq!(Px::ONE * step_and_a_half, Px::from_raw(1));
+        assert_eq!(Px::ONE.neg() * step_and_a_half, Px::from_raw(-2));
+    }
+
+    /// A division rounds to the nearest step, so it cannot put back the
+    /// steps a truncating multiply dropped: a round trip comes back short,
+    /// never long, and by the few steps the two operations gave up.
+    #[test]
+    fn dividing_by_a_fraction_cannot_undo_a_truncating_multiply() {
+        let third = Rel::ONE / Rel::from_int(3);
+        let len = Px::from_int(300);
+        let back = len * third / third;
+        assert!(back <= len, "{back:?} is longer than {len:?}");
+        assert!(len - back <= Px::from_raw(3), "{back:?} against {len:?}");
+        assert_eq!(Px::from_int(100) / Rel::from_f32(0.5), Px::from_int(200));
+    }
+
+    /// The bound a greedy line break needs: the width it was measured at is
+    /// not on the grid, and the narrowest box the break still holds for is
+    /// the step at or above it, never the one below.
+    #[test]
+    fn a_ceiling_never_lands_below_the_number_it_came_from() {
+        let step = 1.0 / (1 << PX_SHIFT) as f32;
+        for n in 0..64 {
+            let v = 189.0 + n as f32 * step / 3.0;
+            let up = Px::ceil_from_f32(v);
+            assert!(up.to_f32() >= v, "{up:?} is below {v}");
+            assert!(
+                up.to_f32() - v < step,
+                "{up:?} is more than a step above {v}"
+            );
+        }
+        // An exact step is its own ceiling.
+        assert_eq!(Px::ceil_from_f32(189.5), Px::from_f32(189.5));
+    }
+
+    #[test]
+    fn a_number_from_outside_is_clamped_to_the_grid() {
+        assert_eq!(Px::from_f32(1e12), Px::MAX);
+        assert_eq!(Px::from_f32(-1e12), Px::MIN);
+    }
+
+    #[test]
+    fn a_coarser_grid_rounds_and_a_finer_one_does_not() {
+        // A third, which neither grid holds exactly.
+        let third = Rel::ONE / Rel::from_int(3);
+        assert_eq!(third.to_scale::<6>(), Fixed::<6>::from_raw(21));
+        let coarse = Fixed::<6>::from_raw(21);
+        assert_eq!(coarse.to_scale::<24>().to_scale::<6>(), coarse);
+    }
+
+    #[test]
+    fn lerp_takes_the_fraction_as_the_receiver() {
+        let (from, to) = (Px::from_int(10), Px::from_int(20));
+        assert_eq!(Rel::ZERO.lerp(from, to), from);
+        assert_eq!(Rel::ONE.lerp(from, to), to);
+        assert_eq!(Rel::from_f32(0.5).lerp(from, to), Px::from_int(15));
+        assert_eq!(Rel::from_f32(0.5).lerp(to, from), Px::from_int(15));
+    }
+
+    #[test]
+    fn a_ratio_is_finer_than_the_weights_it_divides() {
+        let (one, three) = (Weight::ONE, Weight::from_int(3));
+        // A third, which the weights' own grid could only hold to 1/65536.
+        assert_eq!(Rel::ratio(one, three), Rel::from_raw(5592405));
+        assert_eq!(Rel::ratio(three, three), Rel::ONE);
+        assert_eq!(Rel::ratio(Weight::ZERO, three), Rel::ZERO);
+    }
+
+    #[test]
+    fn nothing_sits_between_a_value_and_the_next_one() {
+        let at = Px::from_int(3);
+        assert_eq!(at.next_up().next_down(), at);
+        assert_eq!(at.next_up().raw() - at.raw(), 1);
+        assert!(at.next_down() < at && at < at.next_up());
+    }
+
+    #[test]
+    fn it_prints_the_number_rather_than_the_steps() {
+        assert_eq!(format!("{:?}", Px::from_f32(17.59375)), "17.59375");
+        assert_eq!(format!("{}", Px::from_int(-2)), "-2");
+    }
+}

core/src/layout_diagnostics.rs

@@ -15,7 +15,7 @@
 //! reuse, size, placement, and text events for one suspicious widget. The
 //! selection is a set and survives [`take`] until cleared.
 
-use crate::{Axis, Len, Size, UiRegion, WidgetId, util::Vec2};
+use crate::{Axis, LayoutLen, PxVec2, Size, UiRegion, WidgetId};
 use std::{
     cell::RefCell,
     collections::{HashMap, HashSet},
@@ -26,27 +26,23 @@ use std::{
 #[derive(Clone, Copy)]
 pub(crate) enum Counter {
     Updates,
-    ResizeDependents,
     DrawRequests,
     WidgetDraws,
-    PlaceCalls,
+    RegionNodeDraws,
     SizeReads,
     HintHits,
     HintMisses,
-    RetainedSizeHits,
     ReuseAttempts,
     ReuseExact,
     ReuseMoved,
     ReuseDirty,
     ReuseWrongParent,
-    ReuseUnslotted,
-    ReuseOwnResize,
-    ReuseDescendantResize,
-    ResizeChecks,
-    ResizeCheckChildren,
+    ReuseRemapped,
+    ReuseOutside,
+    ReuseWrongLayer,
+    ReuseWrongNode,
     QueuePops,
     DepthReads,
-    EagerReaderRedraws,
     LocalRedraws,
     SizeChanges,
     ReaderEdges,
@@ -56,34 +52,33 @@ pub(crate) enum Counter {
     TextShapes,
     TextBreaks,
     GlyphPlacements,
+    OutsidePinnedLen,
+    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",
-        "resize dependents",
         "draw requests",
         "widget draws",
-        "place calls",
+        "region-node draws",
         "draw-result size reads",
         "hint hits",
         "hint misses",
-        "retained size hits",
         "reuse attempts",
         "reuse exact",
         "reuse moved",
         "reuse: dirty",
         "reuse: wrong parent",
-        "reuse: unslotted",
-        "reuse: own resize",
-        "reuse: descendant resize",
-        "resize checks",
-        "resize children checked",
+        "reuse remapped",
+        "reuse: outside what it holds for",
+        "reuse: another layer",
+        "reuse: region-node choice changed",
         "redraw queue pops",
         "depth reads",
-        "eager reader redraws",
         "local redraws",
         "size changes",
         "reader edges",
@@ -93,6 +88,9 @@ impl Counter {
         "text shapes",
         "text line breaks",
         "glyph placements",
+        "reuse outside: the length it was pinned to",
+        "reuse outside: a frame length",
+        "reuse outside: an extent length",
     ];
 }
 
@@ -100,7 +98,6 @@ impl Counter {
 pub(crate) enum TimerKind {
     Update,
     FullLayout,
-    ResizeMarking,
     IncrementalLayout,
     TextRender,
     TextShape,
@@ -114,7 +111,6 @@ impl TimerKind {
     const NAMES: [&'static str; Self::COUNT] = [
         "update total",
         "full layout",
-        "resize marking",
         "incremental layout",
         "text render",
         "text shape",
@@ -254,9 +250,10 @@ pub enum ReuseOutcome {
     Moved,
     Dirty,
     WrongParent,
-    Unslotted,
-    OwnResize,
-    DescendantResize,
+    WrongLayer,
+    Remapped,
+    Outside,
+    Undrawn,
 }
 
 /// One targeted layout event. Events are retained in execution order, making
@@ -267,8 +264,8 @@ pub enum TraceEvent {
         id: WidgetId,
         parent: Option<WidgetId>,
         region: UiRegion,
-        pixel_size: Vec2,
-        slotted: bool,
+        pixel_size: PxVec2,
+        region_node: bool,
     },
     Reuse {
         id: WidgetId,
@@ -278,7 +275,7 @@ pub enum TraceEvent {
         id: WidgetId,
         size: Size,
     },
-    Placed {
+    RegionNode {
         id: WidgetId,
         parent: WidgetId,
         region: UiRegion,
@@ -292,7 +289,7 @@ pub enum TraceEvent {
         id: WidgetId,
         reader: WidgetId,
         axis: Axis,
-        hint: Option<Len>,
+        hint: Option<LayoutLen>,
     },
     TextRendered {
         id: WidgetId,
@@ -363,8 +360,8 @@ pub(crate) fn draw_request(
     id: WidgetId,
     parent: Option<WidgetId>,
     region: UiRegion,
-    pixel_size: Vec2,
-    slotted: bool,
+    pixel_size: PxVec2,
+    region_node: bool,
 ) {
     trace(
         id,
@@ -373,7 +370,7 @@ pub(crate) fn draw_request(
             parent,
             region,
             pixel_size,
-            slotted,
+            region_node,
         },
     );
 }
@@ -386,15 +383,15 @@ pub(crate) fn size_reported(id: WidgetId, size: Size) {
     trace(id, TraceEvent::SizeReported { id, size });
 }
 
-pub(crate) fn placed(id: WidgetId, parent: WidgetId, region: UiRegion) {
-    trace(id, TraceEvent::Placed { id, parent, region });
+pub(crate) fn region_node(id: WidgetId, parent: WidgetId, region: UiRegion) {
+    trace(id, TraceEvent::RegionNode { id, parent, region });
 }
 
 pub(crate) fn size_read(id: WidgetId, reader: WidgetId, size: Size) {
     trace(id, TraceEvent::SizeRead { id, reader, size });
 }
 
-pub(crate) fn hint_read(id: WidgetId, reader: WidgetId, axis: Axis, hint: Option<Len>) {
+pub(crate) fn hint_read(id: WidgetId, reader: WidgetId, axis: Axis, hint: Option<LayoutLen>) {
     trace(
         id,
         TraceEvent::HintRead {

core/src/lib.rs

@@ -15,6 +15,7 @@ pub mod layout_diagnostics;
 
 mod attr;
 mod event;
+mod fixed;
 mod num;
 mod orientation;
 mod primitive;
@@ -26,6 +27,7 @@ pub mod util;
 
 pub use attr::*;
 pub use event::*;
+pub use fixed::*;
 pub use num::*;
 pub use orientation::*;
 pub use primitive::*;

core/src/orientation/align.rs

@@ -1,8 +1,8 @@
-use crate::vec2;
+use crate::{Px, Rel};
 
 use super::*;
 
-#[derive(Clone, Copy, PartialEq, Eq)]
+#[derive(Clone, Copy, PartialEq)]
 pub struct Align {
     pub x: Option<AxisAlign>,
     pub y: Option<AxisAlign>,
@@ -30,20 +30,32 @@ impl Align {
     }
 }
 
-#[derive(Clone, Copy, PartialEq, Eq)]
-pub enum AxisAlign {
-    Neg,
-    Center,
-    Pos,
-}
+/// Where a widget sits in a box longer than it is. The default is the middle,
+/// because the two edges are the ones that assume a direction: which of them
+/// is the near one depends on the writing system and on which way a container
+/// runs, and the middle is the same either way.
+#[derive(Debug, Clone, Copy, PartialEq)]
+pub struct AxisAlign(Rel);
 
 impl AxisAlign {
-    pub const fn rel(&self) -> f32 {
-        match self {
-            Self::Neg => 0.0,
-            Self::Center => 0.5,
-            Self::Pos => 1.0,
-        }
+    pub const NEG: Self = Self::new(0.0);
+    pub const CENTER: Self = Self::new(0.5);
+    pub const POS: Self = Self::new(1.0);
+
+    pub const fn new(rel: f32) -> Self {
+        Self(Rel::from_f32(rel))
+    }
+
+    /// A fraction of the room left over, which is what the layout reads: the
+    /// three constants are the familiar places along it, not the only ones.
+    pub const fn rel(&self) -> Rel {
+        self.0
+    }
+}
+
+impl Default for AxisAlign {
+    fn default() -> Self {
+        Self::CENTER
     }
 }
 
@@ -53,41 +65,60 @@ pub struct CardinalAlign {
 }
 
 impl CardinalAlign {
-    pub const LEFT: Self = Self::new(Axis::X, AxisAlign::Neg);
-    pub const H_CENTER: Self = Self::new(Axis::X, AxisAlign::Center);
-    pub const RIGHT: Self = Self::new(Axis::X, AxisAlign::Pos);
-    pub const TOP: Self = Self::new(Axis::Y, AxisAlign::Neg);
-    pub const V_CENTER: Self = Self::new(Axis::Y, AxisAlign::Center);
-    pub const BOT: Self = Self::new(Axis::Y, AxisAlign::Pos);
+    pub const LEFT: Self = Self::new(Axis::X, AxisAlign::NEG);
+    pub const H_CENTER: Self = Self::new(Axis::X, AxisAlign::CENTER);
+    pub const RIGHT: Self = Self::new(Axis::X, AxisAlign::POS);
+    pub const TOP: Self = Self::new(Axis::Y, AxisAlign::NEG);
+    pub const V_CENTER: Self = Self::new(Axis::Y, AxisAlign::CENTER);
+    pub const BOT: Self = Self::new(Axis::Y, AxisAlign::POS);
 
     pub const fn new(axis: Axis, align: AxisAlign) -> Self {
         Self { axis, align }
     }
 }
 
-#[derive(Clone, Copy, PartialEq, Eq)]
+#[derive(Debug, Clone, Copy, PartialEq, Default)]
 pub struct RegionAlign {
     pub x: AxisAlign,
     pub y: AxisAlign,
 }
 
 impl RegionAlign {
-    pub const TOP_LEFT: Self = Self::new(AxisAlign::Neg, AxisAlign::Neg);
-    pub const TOP_CENTER: Self = Self::new(AxisAlign::Center, AxisAlign::Neg);
-    pub const TOP_RIGHT: Self = Self::new(AxisAlign::Pos, AxisAlign::Neg);
-    pub const CENTER_LEFT: Self = Self::new(AxisAlign::Neg, AxisAlign::Center);
-    pub const CENTER: Self = Self::new(AxisAlign::Center, AxisAlign::Center);
-    pub const CENTER_RIGHT: Self = Self::new(AxisAlign::Pos, AxisAlign::Center);
-    pub const BOT_LEFT: Self = Self::new(AxisAlign::Neg, AxisAlign::Pos);
-    pub const BOT_CENTER: Self = Self::new(AxisAlign::Center, AxisAlign::Pos);
-    pub const BOT_RIGHT: Self = Self::new(AxisAlign::Pos, AxisAlign::Pos);
+    /// Both axes at the near edge: the start of a box in its own orientation.
+    pub const NEAR: Self = Self {
+        x: AxisAlign::NEG,
+        y: AxisAlign::NEG,
+    };
+
+    pub fn axis(&self, axis: Axis) -> AxisAlign {
+        match axis {
+            Axis::X => self.x,
+            Axis::Y => self.y,
+        }
+    }
+
+    pub fn axis_mut(&mut self, axis: Axis) -> &mut AxisAlign {
+        match axis {
+            Axis::X => &mut self.x,
+            Axis::Y => &mut self.y,
+        }
+    }
+}
+
+impl RegionAlign {
+    pub const TOP_LEFT: Self = Self::new(AxisAlign::NEG, AxisAlign::NEG);
+    pub const TOP_CENTER: Self = Self::new(AxisAlign::CENTER, AxisAlign::NEG);
+    pub const TOP_RIGHT: Self = Self::new(AxisAlign::POS, AxisAlign::NEG);
+    pub const CENTER_LEFT: Self = Self::new(AxisAlign::NEG, AxisAlign::CENTER);
+    pub const CENTER: Self = Self::new(AxisAlign::CENTER, AxisAlign::CENTER);
+    pub const CENTER_RIGHT: Self = Self::new(AxisAlign::POS, AxisAlign::CENTER);
+    pub const BOT_LEFT: Self = Self::new(AxisAlign::NEG, AxisAlign::POS);
+    pub const BOT_CENTER: Self = Self::new(AxisAlign::CENTER, AxisAlign::POS);
+    pub const BOT_RIGHT: Self = Self::new(AxisAlign::POS, AxisAlign::POS);
 
     pub const fn new(x: AxisAlign, y: AxisAlign) -> Self {
         Self { x, y }
     }
-    pub const fn rel(&self) -> Vec2 {
-        vec2(self.x.rel(), self.y.rel())
-    }
 }
 
 impl UiVec2 {
@@ -140,16 +171,15 @@ impl Vec2 {
     }
 }
 
-impl UiScalar {
+impl Len {
     pub const fn align(&self, align: AxisAlign) -> UiSpan {
         let rel = align.rel();
-        let mut start = UiScalar::rel(rel);
-        start.px -= self.px * rel;
-        start.rel -= self.rel * rel;
-        let mut end = UiScalar::rel(rel);
-        end.px += self.px * (1.0 - rel);
-        end.rel += self.rel * (1.0 - rel);
-        UiSpan { start, end }
+        let rest = Rel::ONE.sub(rel);
+        let at = Len::from_parts(rel, Px::ZERO);
+        UiSpan {
+            start: Len::from_parts(at.rel.sub(self.rel.mul(rel)), at.px.sub(self.px.mul(rel))),
+            end: Len::from_parts(at.rel.add(self.rel.mul(rest)), at.px.add(self.px.mul(rest))),
+        }
     }
 }
 
@@ -165,8 +195,8 @@ impl From<RegionAlign> for Align {
 impl From<Align> for RegionAlign {
     fn from(align: Align) -> Self {
         Self {
-            x: align.x.unwrap_or(AxisAlign::Center),
-            y: align.y.unwrap_or(AxisAlign::Center),
+            x: align.x.unwrap_or(AxisAlign::CENTER),
+            y: align.y.unwrap_or(AxisAlign::CENTER),
         }
     }
 }
@@ -189,7 +219,10 @@ impl From<CardinalAlign> for Align {
 
 const impl From<RegionAlign> for UiVec2 {
     fn from(align: RegionAlign) -> Self {
-        Self::rel(align.rel())
+        Self::new(
+            Len::from_parts(align.x.rel(), Px::ZERO),
+            Len::from_parts(align.y.rel(), Px::ZERO),
+        )
     }
 }
 

core/src/orientation/axis.rs

@@ -1,4 +1,5 @@
 use super::*;
+use crate::{Fixed, FixedVec2};
 
 #[derive(Copy, Clone, Debug, Eq, PartialEq)]
 pub enum Axis {
@@ -6,6 +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;
 
@@ -40,6 +52,29 @@ pub enum Sign {
     Pos,
 }
 
+impl<const SHIFT: u32> FixedVec2<SHIFT> {
+    pub const fn axis(&self, axis: Axis) -> Fixed<SHIFT> {
+        match axis {
+            Axis::X => self.x,
+            Axis::Y => self.y,
+        }
+    }
+
+    pub const fn axis_mut(&mut self, axis: Axis) -> &mut Fixed<SHIFT> {
+        match axis {
+            Axis::X => &mut self.x,
+            Axis::Y => &mut self.y,
+        }
+    }
+
+    pub const fn from_axis(axis: Axis, aligned: Fixed<SHIFT>, ortho: Fixed<SHIFT>) -> Self {
+        match axis {
+            Axis::X => Self::new(aligned, ortho),
+            Axis::Y => Self::new(ortho, aligned),
+        }
+    }
+}
+
 impl Vec2 {
     pub fn axis(&self, axis: Axis) -> f32 {
         match axis {

core/src/orientation/len.rs

@@ -1,22 +1,30 @@
 use super::*;
-use crate::{UiNum, util::impl_op};
+use crate::{Px, PxVec2, Rel, UiNum, Weight, util::impl_op};
 
 #[derive(Debug, Default, Clone, Copy, PartialEq)]
 pub struct Size {
-    pub x: Len,
-    pub y: Len,
+    pub x: LayoutLen,
+    pub y: LayoutLen,
 }
 
-#[derive(Debug, Clone, Copy, PartialEq)]
-pub struct Len {
-    pub px: f32,
-    pub rel: f32,
-    pub rest: f32,
+/// What a widget asks for along one axis: a [`Len`] -- pixels and a fraction
+/// of the box it is given -- plus a share of whatever is left over once
+/// everything fixed has been taken. The parts add up rather than choosing
+/// between one another.
+///
+/// Only a container dividing its room can answer a share, so a length nobody
+/// divides is a `Len`: a position, a padding, a cap, anything already
+/// resolved.
+#[derive(Debug, Clone, Copy, PartialEq, Eq, Hash)]
+pub struct LayoutLen {
+    pub px: Px,
+    pub rel: Rel,
+    pub leftover: Weight,
 }
 
-impl<N: UiNum> From<N> for Len {
+impl<N: UiNum> From<N> for LayoutLen {
     fn from(value: N) -> Self {
-        Len::px(value.to_f32())
+        LayoutLen::px(value.to_f32())
     }
 }
 
@@ -29,52 +37,76 @@ impl<Nx: UiNum, Ny: UiNum> From<(Nx, Ny)> for Size {
     }
 }
 
-impl From<Len> for Size {
-    fn from(value: Len) -> Self {
+/// A length with no share in it is a length a container does not have to
+/// divide, which is one it can always give.
+impl From<Len> for LayoutLen {
+    fn from(len: Len) -> Self {
+        Self {
+            px: len.px,
+            rel: len.rel,
+            leftover: Weight::ZERO,
+        }
+    }
+}
+
+impl From<LayoutLen> for Size {
+    fn from(value: LayoutLen) -> Self {
         Self { x: value, y: value }
     }
 }
 
 impl Size {
     pub const ZERO: Self = Self {
-        x: Len::ZERO,
-        y: Len::ZERO,
+        x: LayoutLen::ZERO,
+        y: LayoutLen::ZERO,
     };
 
-    pub const REST: Self = Self {
-        x: Len::REST,
-        y: Len::REST,
+    pub const LEFTOVER: Self = Self {
+        x: LayoutLen::LEFTOVER,
+        y: LayoutLen::LEFTOVER,
     };
 
+    /// From something measured outside layout -- a texture, a shaped line --
+    /// which is where a size in floats comes from.
     pub fn px(v: Vec2) -> Self {
+        Self::from_px(PxVec2::from_f32(v))
+    }
+
+    pub const fn from_px(v: PxVec2) -> Self {
         Self {
-            x: Len::px(v.x),
-            y: Len::px(v.y),
+            x: LayoutLen {
+                px: v.x,
+                ..LayoutLen::ZERO
+            },
+            y: LayoutLen {
+                px: v.y,
+                ..LayoutLen::ZERO
+            },
         }
     }
 
     pub fn rel(v: Vec2) -> Self {
         Self {
-            x: Len::rel(v.x),
-            y: Len::rel(v.y),
+            x: LayoutLen::rel(v.x),
+            y: LayoutLen::rel(v.y),
         }
     }
 
-    pub fn rest(v: Vec2) -> Self {
+    pub fn leftover(v: Vec2) -> Self {
         Self {
-            x: Len::rest(v.x),
-            y: Len::rest(v.y),
+            x: LayoutLen::leftover(v.x),
+            y: LayoutLen::leftover(v.y),
         }
     }
 
     pub fn to_uivec2(self) -> UiVec2 {
         UiVec2 {
-            x: self.x.apply_rest(),
-            y: self.y.apply_rest(),
+            x: self.x.apply_leftover(),
+            y: self.y.apply_leftover(),
         }
     }
 
-    pub fn from_axis(axis: Axis, aligned: Len, ortho: Len) -> Self {
+    pub fn from_axis(axis: Axis, aligned: LayoutLen, ortho: LayoutLen) -> Self {
         match axis {
             Axis::X => Self {
                 x: aligned,
@@ -87,53 +119,73 @@ impl Size {
         }
     }
 
-    pub fn axis(&self, axis: Axis) -> Len {
+    pub fn axis(&self, axis: Axis) -> LayoutLen {
         match axis {
             Axis::X => self.x,
             Axis::Y => self.y,
         }
     }
+
+    pub fn axis_mut(&mut self, axis: Axis) -> &mut LayoutLen {
+        match axis {
+            Axis::X => &mut self.x,
+            Axis::Y => &mut self.y,
+        }
+    }
 }
 
-impl Len {
+impl LayoutLen {
     pub const ZERO: Self = Self {
-        px: 0.0,
-        rel: 0.0,
-        rest: 0.0,
+        px: Px::ZERO,
+        rel: Rel::ZERO,
+        leftover: Weight::ZERO,
     };
 
-    pub const REST: Self = Self {
-        px: 0.0,
-        rel: 0.0,
-        rest: 1.0,
+    pub const LEFTOVER: Self = Self {
+        px: Px::ZERO,
+        rel: Rel::ZERO,
+        leftover: Weight::ONE,
     };
 
-    pub fn apply_rest(&self) -> UiScalar {
-        UiScalar {
-            rel: self.rel + if self.rest > 0.0 { 1.0 } else { 0.0 },
-            px: self.px,
+    /// The whole of what is left over counts as the whole box, which is what
+    /// a length means to something that is not dividing a box between
+    /// siblings -- a scroll asking how long its content is.
+    pub fn apply_leftover(&self) -> Len {
+        let share = match self.leftover > Weight::ZERO {
+            true => Rel::ONE,
+            false => Rel::ZERO,
+        };
+        Len::from_parts(self.rel.add(share), self.px)
+    }
+
+    /// This length, given as a part of a box `len` long, as a part of the
+    /// box `len` is itself a part of. The share is untouched: it is a claim
+    /// on whoever divides the room, not a fraction of anything.
+    pub const fn within_len(self, len: Len) -> Self {
+        let part = Len::from_parts(self.rel, self.px).within_len(len);
+        Self {
+            px: part.px,
+            rel: part.rel,
+            leftover: self.leftover,
         }
     }
 
     pub fn px(px: impl UiNum) -> Self {
         Self {
-            px: px.to_f32(),
-            rel: 0.0,
-            rest: 0.0,
+            px: Px::from_num(px),
+            ..Self::ZERO
         }
     }
     pub fn rel(rel: impl UiNum) -> Self {
         Self {
-            px: 0.0,
-            rel: rel.to_f32(),
-            rest: 0.0,
+            rel: Rel::from_num(rel),
+            ..Self::ZERO
         }
     }
-    pub fn rest(ratio: impl UiNum) -> Self {
+    pub fn leftover(ratio: impl UiNum) -> Self {
         Self {
-            px: 0.0,
-            rel: 0.0,
-            rest: ratio.to_f32(),
+            leftover: Weight::from_num(ratio),
+            ..Self::ZERO
         }
     }
 }
@@ -141,38 +193,26 @@ impl Len {
 pub mod len_fns {
     use super::*;
 
-    pub fn px(px: impl UiNum) -> Len {
-        Len {
-            px: px.to_f32(),
-            rel: 0.0,
-            rest: 0.0,
-        }
+    pub fn px(px: impl UiNum) -> LayoutLen {
+        LayoutLen::px(px)
     }
-    pub fn rel(rel: impl UiNum) -> Len {
-        Len {
-            px: 0.0,
-            rel: rel.to_f32(),
-            rest: 0.0,
-        }
+    pub fn rel(rel: impl UiNum) -> LayoutLen {
+        LayoutLen::rel(rel)
     }
-    pub fn rest(ratio: impl UiNum) -> Len {
-        Len {
-            px: 0.0,
-            rel: 0.0,
-            rest: ratio.to_f32(),
-        }
+    pub fn leftover(ratio: impl UiNum) -> LayoutLen {
+        LayoutLen::leftover(ratio)
     }
 }
 
-impl_op!(Len Add add; px rel rest);
-impl_op!(Len Sub sub; px rel rest);
+impl_op!(same LayoutLen Add add; px rel leftover);
+impl_op!(same LayoutLen Sub sub; px rel leftover);
 
-impl_op!(Size Add add; x y);
-impl_op!(Size Sub sub; x y);
+impl_op!(same Size Add add; x y);
+impl_op!(same Size Sub sub; x y);
 
-impl Default for Len {
+impl Default for LayoutLen {
     fn default() -> Self {
-        Self::rest(1.0)
+        Self::leftover(1.0)
     }
 }
 
@@ -182,16 +222,16 @@ impl std::fmt::Display for Size {
     }
 }
 
-impl std::fmt::Display for Len {
+impl std::fmt::Display for LayoutLen {
     fn fmt(&self, f: &mut std::fmt::Formatter<'_>) -> std::fmt::Result {
-        if self.px != 0.0 {
+        if self.px != Px::ZERO {
             write!(f, "{} px;", self.px)?;
         }
-        if self.rel != 0.0 {
+        if self.rel != Rel::ZERO {
             write!(f, "{} rel;", self.rel)?;
         }
-        if self.rest != 0.0 {
-            write!(f, "{} rest;", self.rest)?;
+        if self.leftover != Weight::ZERO {
+            write!(f, "{} leftover;", self.leftover)?;
         }
         Ok(())
     }

core/src/orientation/pos.rs

@@ -1,41 +1,46 @@
-use std::{fmt::Display, hash::Hash, marker::Destruct};
+use std::{fmt::Display, marker::Destruct};
 
 use super::*;
-use crate::{
-    UiNum,
-    util::{LerpUtil, impl_op},
-};
+use crate::{Px, PxVec2, Rel, UiNum, util::impl_op};
 
 #[repr(C)]
 #[derive(Debug, Copy, Clone, PartialEq, Eq, Hash, bytemuck::Pod, bytemuck::Zeroable, Default)]
 pub struct UiVec2 {
-    pub x: UiScalar,
-    pub y: UiScalar,
+    pub x: Len,
+    pub y: Len,
 }
 
 impl UiVec2 {
     pub const ZERO: Self = Self {
-        x: UiScalar::ZERO,
-        y: UiScalar::ZERO,
+        x: Len::ZERO,
+        y: Len::ZERO,
     };
 
-    pub const fn new(x: UiScalar, y: UiScalar) -> Self {
+    pub const fn new(x: Len, y: Len) -> Self {
         Self { x, y }
     }
 
     pub const fn px(px: impl const Into<Vec2>) -> Self {
         let px = px.into();
         Self {
-            x: UiScalar::px(px.x),
-            y: UiScalar::px(px.y),
+            x: Len::px(px.x),
+            y: Len::px(px.y),
+        }
+    }
+
+    /// From lengths already on the grid, with no fraction of a box.
+    pub const fn from_px(px: PxVec2) -> Self {
+        Self {
+            x: Len::from_parts(Rel::ZERO, px.x),
+            y: Len::from_parts(Rel::ZERO, px.y),
         }
     }
 
     pub const fn rel(rel: impl const Into<Vec2>) -> Self {
         let rel = rel.into();
         Self {
-            x: UiScalar::rel(rel.x),
-            y: UiScalar::rel(rel.y),
+            x: Len::rel(rel.x),
+            y: Len::rel(rel.y),
         }
     }
 
@@ -56,30 +61,29 @@ impl UiVec2 {
         }
     }
 
-    pub fn axis_mut(&mut self, axis: Axis) -> &mut UiScalar {
+    pub fn axis_mut(&mut self, axis: Axis) -> &mut Len {
         match axis {
             Axis::X => &mut self.x,
             Axis::Y => &mut self.y,
         }
     }
 
-    pub fn axis(&self, axis: Axis) -> UiScalar {
+    pub fn axis(&self, axis: Axis) -> Len {
         match axis {
             Axis::X => self.x,
             Axis::Y => self.y,
         }
     }
 
-    pub fn to_px(&self, rel: Vec2) -> Vec2 {
-        Vec2 {
-            x: self.x.to_px(rel.x),
-            y: self.y.to_px(rel.y),
-        }
+    /// Resolved against a box of `size`, which is where a fraction stops
+    /// being one and becomes a place.
+    pub fn to_px(&self, size: PxVec2) -> PxVec2 {
+        PxVec2::new(self.x.to_px(size.x), self.y.to_px(size.y))
     }
 
     pub const FULL_SIZE: Self = Self::rel(Vec2::ONE);
 
-    pub const fn from_axis(axis: Axis, aligned: UiScalar, ortho: UiScalar) -> Self {
+    pub const fn from_axis(axis: Axis, aligned: Len, ortho: Len) -> Self {
         match axis {
             Axis::X => Self {
                 x: aligned,
@@ -93,18 +97,11 @@ impl UiVec2 {
     }
 
     pub fn get_px(&self) -> Vec2 {
-        (self.x.px, self.y.px).into()
+        (self.x.px.to_f32(), self.y.px.to_f32()).into()
     }
 
     pub fn get_rel(&self) -> Vec2 {
-        (self.x.rel, self.y.rel).into()
-    }
-
-    pub fn abs_mut(&mut self) -> Vec2View<'_> {
-        Vec2View {
-            x: &mut self.x.px,
-            y: &mut self.y.px,
-        }
+        (self.x.rel.to_f32(), self.y.rel.to_f32()).into()
     }
 }
 
@@ -114,8 +111,8 @@ impl Display for UiVec2 {
     }
 }
 
-impl_op!(UiVec2 Add add; x y);
-impl_op!(UiVec2 Sub sub; x y);
+impl_op!(same UiVec2 Add add; x y);
+impl_op!(same UiVec2 Sub sub; x y);
 
 const impl From<Vec2> for UiVec2 {
     fn from(px: Vec2) -> Self {
@@ -132,46 +129,59 @@ where
     }
 }
 
+/// A length along one axis: a fraction of the box it is measured in plus an
+/// offset, `rel * box + px`. A position is the same number -- the length from
+/// the start of the box to the point -- which is why a [`UiSpan`] is two of
+/// these. Both parts are fixed point, so composing one through a chain of
+/// boxes rounds only where it multiplies, and lands on the same number as any
+/// other route to the same place.
+///
+/// It carries no claim on what a container has left over. That is
+/// [`crate::LayoutLen`], which is this plus a weight, and which means nothing
+/// to anyone but whoever divides the room.
 #[repr(C)]
-#[derive(Debug, Copy, Clone, PartialEq, bytemuck::Pod, Default, bytemuck::Zeroable)]
-pub struct UiScalar {
-    pub rel: f32,
-    pub px: f32,
+#[derive(Debug, Copy, Clone, PartialEq, Eq, Hash, bytemuck::Pod, Default, bytemuck::Zeroable)]
+pub struct Len {
+    pub rel: Rel,
+    pub px: Px,
 }
 
-impl Eq for UiScalar {}
-impl Hash for UiScalar {
-    fn hash<H: std::hash::Hasher>(&self, state: &mut H) {
-        state.write_u32(self.rel.to_bits());
-        state.write_u32(self.px.to_bits());
-    }
-}
+impl_op!(same Len Add add; rel px);
+impl_op!(same Len Sub sub; rel px);
 
-impl_op!(UiScalar Add add; rel px);
-impl_op!(UiScalar Sub sub; rel px);
-
-impl UiScalar {
-    pub const ZERO: Self = Self { rel: 0.0, px: 0.0 };
-    pub const FULL: Self = Self { rel: 1.0, px: 0.0 };
+impl Len {
+    pub const ZERO: Self = Self {
+        rel: Rel::ZERO,
+        px: Px::ZERO,
+    };
+    pub const FULL: Self = Self {
+        rel: Rel::ONE,
+        px: Px::ZERO,
+    };
 
     pub const fn new(rel: f32, px: f32) -> Self {
+        Self::from_parts(Rel::from_f32(rel), Px::from_f32(px))
+    }
+
+    /// From parts already on the grid, rather than numbers to be put on it.
+    pub const fn from_parts(rel: Rel, px: Px) -> Self {
         Self { rel, px }
     }
 
     pub const fn rel(rel: f32) -> Self {
-        Self { rel, px: 0.0 }
+        Self::from_parts(Rel::from_f32(rel), Px::ZERO)
     }
 
     pub const fn px(px: f32) -> Self {
-        Self { rel: 0.0, px }
+        Self::from_parts(Rel::ZERO, Px::from_f32(px))
     }
 
     pub const fn rel_min() -> Self {
-        Self::new(0.0, 0.0)
+        Self::ZERO
     }
 
     pub const fn rel_max() -> Self {
-        Self::new(1.0, 0.0)
+        Self::FULL
     }
 
     pub const fn max(&self, other: Self) -> Self {
@@ -188,66 +198,75 @@ impl UiScalar {
         }
     }
 
-    pub const fn offset(mut self, amt: f32) -> Self {
-        self.px += amt;
+    /// Both parts by the same fraction, which is what a part of a length
+    /// means when the length is part pixels and part a fraction of a box.
+    pub const fn scale(&self, by: Rel) -> Self {
+        Self {
+            rel: self.rel.mul(by),
+            px: self.px.mul(by),
+        }
+    }
+
+    pub const fn offset(mut self, amt: Px) -> Self {
+        self.px = self.px.add(amt);
         self
     }
 
     pub const fn within(&self, span: &UiSpan) -> Self {
-        let anchor = self.rel.lerp(span.start.rel, span.end.rel);
-        let offset = self.px + self.rel.lerp(span.start.px, span.end.px);
         Self {
-            rel: anchor,
-            px: offset,
+            rel: self.rel.lerp(span.start.rel, span.end.rel),
+            px: self.px.add(self.rel.lerp(span.start.px, span.end.px)),
         }
     }
 
-    pub fn within_len(&self, len: UiScalar) -> Self {
+    pub const fn within_len(&self, len: Len) -> Self {
         self.within(&UiSpan {
-            start: UiScalar::ZERO,
+            start: Len::ZERO,
             end: len,
         })
     }
 
-    pub fn select_len(&self, len: UiScalar) -> Self {
+    pub fn select_len(&self, len: Len) -> Self {
         len.within_len(*self)
     }
 
     pub const fn flip(&mut self) {
-        self.rel = 1.0 - self.rel;
-        self.px = -self.px;
+        self.rel = Rel::ONE.sub(self.rel);
+        self.px = self.px.neg();
     }
 
     pub const fn to(&self, end: Self) -> UiSpan {
         UiSpan { start: *self, end }
     }
 
-    pub const fn to_px(&self, rel: f32) -> f32 {
-        self.rel * rel + self.px
+    /// Resolved against a box of `len`, which is the only place a fraction
+    /// becomes a number of pixels.
+    pub const fn to_px(&self, len: Px) -> Px {
+        self.px.add(len.mul(self.rel))
     }
 }
 
 #[repr(C)]
 #[derive(Debug, Copy, Clone, PartialEq, bytemuck::Pod, bytemuck::Zeroable)]
 pub struct UiSpan {
-    pub start: UiScalar,
-    pub end: UiScalar,
+    pub start: Len,
+    pub end: Len,
 }
 
 impl UiSpan {
     pub const FULL: Self = Self {
-        start: UiScalar::ZERO,
-        end: UiScalar::FULL,
+        start: Len::ZERO,
+        end: Len::FULL,
     };
 
     pub const fn rel(rel: f32) -> Self {
         Self {
-            start: UiScalar::rel(rel),
-            end: UiScalar::rel(rel),
+            start: Len::rel(rel),
+            end: Len::rel(rel),
         }
     }
 
-    pub const fn new(start: UiScalar, end: UiScalar) -> Self {
+    pub const fn new(start: Len, end: Len) -> Self {
         Self { start, end }
     }
 
@@ -258,11 +277,16 @@ impl UiSpan {
         std::mem::swap(&mut self.start.px, &mut self.end.px);
     }
 
-    pub const fn shift(&mut self, offset: UiScalar) {
+    pub const fn shift(&mut self, offset: Len) {
         self.start += offset;
         self.end += offset;
     }
 
+    /// Composing a box through the one it sits in, and the hottest line in
+    /// layout. It used to skip the multiplies where a span was the whole of
+    /// its parent or the parent the whole of its own; both come out of the
+    /// multiply unchanged anyway, and the body those comparisons cost was
+    /// what kept the inliner from taking this at all.
     pub const fn within(&self, parent: &Self) -> Self {
         Self {
             start: self.start.within(parent),
@@ -270,9 +294,18 @@ impl UiSpan {
         }
     }
 
-    pub const fn len(&self) -> UiScalar {
+    pub const fn len(&self) -> Len {
         self.end - self.start
     }
+
+    /// Both ends by the same amount, which is what moving a box without
+    /// changing its length does to every part of it.
+    pub const fn translated(self, by: Len) -> Self {
+        Self {
+            start: self.start + by,
+            end: self.end + by,
+        }
+    }
 }
 
 #[repr(C)]
@@ -283,6 +316,17 @@ pub struct UiRegion {
 }
 
 impl UiRegion {
+    /// Every part of the box by the same amount on each axis. Done to the
+    /// whole region rather than an end at a time, because that is what it is
+    /// -- and because four adds in a row are four adds, where four asked for
+    /// separately are four sequences.
+    pub const fn translated(self, x: Len, y: Len) -> Self {
+        Self {
+            x: self.x.translated(x),
+            y: self.y.translated(y),
+        }
+    }
+
     pub const FULL: Self = Self {
         x: UiSpan::FULL,
         y: UiSpan::FULL,
@@ -336,10 +380,10 @@ impl UiRegion {
         self
     }
 
-    pub fn to_px(&self, size: Vec2) -> PixelRegion {
+    pub fn to_px(&self, size: PxVec2) -> PixelRegion {
         PixelRegion {
-            top_left: self.top_left().get_rel() * size + self.top_left().get_px(),
-            bot_right: self.bot_right().get_rel() * size + self.bot_right().get_px(),
+            top_left: self.top_left().to_px(size),
+            bot_right: self.bot_right().to_px(size),
         }
     }
 
@@ -394,21 +438,21 @@ impl Display for UiRegion {
     }
 }
 
-#[derive(Debug, Clone, Copy, PartialEq)]
+#[derive(Debug, Clone, Copy, PartialEq, Eq)]
 pub struct PixelRegion {
-    pub top_left: Vec2,
-    pub bot_right: Vec2,
+    pub top_left: PxVec2,
+    pub bot_right: PxVec2,
 }
 
 impl PixelRegion {
-    pub fn contains(&self, pos: Vec2) -> bool {
+    pub fn contains(&self, pos: PxVec2) -> bool {
         pos.x >= self.top_left.x
             && pos.x <= self.bot_right.x
             && pos.y >= self.top_left.y
             && pos.y <= self.bot_right.y
     }
 
-    pub fn size(&self) -> Vec2 {
+    pub fn size(&self) -> PxVec2 {
         self.bot_right - self.top_left
     }
 }
@@ -418,20 +462,3 @@ impl Display for PixelRegion {
         write!(f, "{} -> {}", self.top_left, self.bot_right)
     }
 }
-
-pub struct Vec2View<'a> {
-    pub x: &'a mut f32,
-    pub y: &'a mut f32,
-}
-
-impl Vec2View<'_> {
-    pub fn set(&mut self, other: Vec2) {
-        *self.x = other.x;
-        *self.y = other.y;
-    }
-
-    pub fn add(&mut self, other: Vec2) {
-        *self.x += other.x;
-        *self.y += other.y;
-    }
-}

core/src/primitive/text.rs

@@ -1,7 +1,8 @@
 #[cfg(feature = "layout-diagnostics")]
 use crate::layout_diagnostics::{self as diag, Counter, TimerKind};
 use crate::{
-    Align, GlyphAtlas, GlyphEntry, GlyphKey, PlacedGlyph, RegionAlign, UiColor, util::Vec2,
+    Align, GlyphAtlas, GlyphEntry, GlyphKey, PlacedGlyph, Px, PxVec2, RegionAlign, UiColor,
+    util::Vec2,
 };
 use parley::{
     Alignment, AlignmentOptions, FontContext, FontFamily, FontFamilyName, GenericFamily, Layout,
@@ -106,13 +107,6 @@ impl Default for TextAttrs {
     }
 }
 
-/// How far below the longest line a width may fall and still be answered by
-/// the break in hand. A parent that offers a child the length it reported
-/// composes that length back through the box chain, so the two differ in the
-/// last bits -- and at exactly the longest line, that decides whether a line
-/// fits. Sub-pixel, so no break it admits is one a reader could see.
-const BREAK_EPSILON_PX: f32 = 0.05;
-
 /// Keeps text and its corresponding layout from getting out of sync.
 pub struct TextBuffer {
     text: String,
@@ -182,6 +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())
     }
@@ -199,15 +210,19 @@ impl TextBuffer {
         // A greedy break at one width is the same break at every width down
         // to the longest line it produced: each line still fits, and none can
         // take a word that would not fit in the wider box. So the layout in
-        // hand already answers, and re-breaking would only be a chance to
-        // disagree with itself -- which is what happens when a parent offers
-        // a child the length that child just reported, and the two land
-        // either side of a float.
+        // hand already answers, and re-breaking would only be work.
+        //
+        // At the longest line exactly, with no margin below it. A narrower
+        // width really does break differently, so answering one from the
+        // break in hand is how a warm tree keeps lines a cold tree would
+        // never produce. The margin was here because a text reports the
+        // width it used and a parent hands that back; the report is the step
+        // at or above its longest line now, so what comes back fits.
         if let Some(key) = &self.layout_key
             && key.attrs == *attrs
             && let (Some(broke_at), Some(want)) = (key.max_width, width)
             && want <= broke_at
-            && want + BREAK_EPSILON_PX >= self.layout.width()
+            && want >= self.layout.width()
         {
             #[cfg(feature = "layout-diagnostics")]
             diag::bump(Counter::TextShapeHits);
@@ -303,9 +318,9 @@ impl TextData {
                     };
                     placed.push(PlacedGlyph {
                         entry,
-                        offset: Vec2::new(
-                            glyph.x.floor() + entry.left as f32,
-                            glyph.y.floor() - entry.top as f32,
+                        offset: PxVec2::new(
+                            Px::from_int(glyph.x.floor() as i32 + entry.left),
+                            Px::from_int(glyph.y.floor() as i32 - entry.top),
                         ),
                     });
                 }

core/src/render/atlas.rs

@@ -1,5 +1,5 @@
 use crate::{
-    PatchRect,
+    PatchRect, PxVec2,
     util::{HashMap, Vec2},
 };
 use image::RgbaImage;
@@ -241,5 +241,7 @@ fn write_glyph(page: &mut RgbaImage, image: &Image, x: u32, y: u32) {
 #[derive(Clone, Copy)]
 pub struct PlacedGlyph {
     pub entry: GlyphEntry,
-    pub offset: Vec2,
+    /// Whole pixels from the origin of the text to this glyph's top-left,
+    /// on the grid once here rather than on every frame that draws it.
+    pub offset: PxVec2,
 }

core/src/render/data.rs

@@ -16,11 +16,13 @@ pub struct PrimitiveInstance {
 }
 
 impl PrimitiveInstance {
+    // The region's four scalars, each a `Rel` beside a `Px`: whole counts
+    // that the shader decodes, rather than the numbers themselves.
     const ATTRIBS: [VertexAttribute; 6] = vertex_attr_array![
-        0 => Float32x2,
-        1 => Float32x2,
-        2 => Float32x2,
-        3 => Float32x2,
+        0 => Sint32x2,
+        1 => Sint32x2,
+        2 => Sint32x2,
+        3 => Sint32x2,
         4 => Uint32,
         5 => Uint32,
     ];

core/src/render/mod.rs

@@ -23,7 +23,14 @@ pub use primitive::*;
 const PRELUDE: &str = include_str!("./shader/prelude.wgsl");
 
 fn module_source(wgsl: &str) -> String {
-    format!("{PRELUDE}\n{wgsl}")
+    // The steps come from the same constants the CPU counts in, rather than
+    // a second copy of them written into the shader: a grid the two disagree
+    // about puts every coordinate somewhere else.
+    format!(
+        "const PX_STEP: f32 = 1.0 / {}.0;\nconst REL_STEP: f32 = 1.0 / {}.0;\n{PRELUDE}\n{wgsl}",
+        1u32 << crate::PX_SHIFT,
+        1u32 << crate::REL_SHIFT,
+    )
 }
 
 pub struct UiRenderNode {
@@ -99,7 +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/render/shader/prelude.wgsl

@@ -15,17 +15,56 @@ struct WindowUniform {
 };
 
 struct Mask {
-    x: UiSpan,
-    y: UiSpan,
+    x: RawSpan,
+    y: RawSpan,
     move_idx: u32,
 }
 
 struct MoveOffset {
-    x: UiSpan,
-    y: UiSpan,
+    x: RawSpan,
+    y: RawSpan,
     parent: u32,
 }
 
+// `PX_STEP` and `REL_STEP` are prepended from `iris_core`'s own constants:
+// what it stores is a whole count of each, both powers of two, so decoding
+// is exact and the number here is the number the CPU decided.
+
+// Every coordinate the CPU decided is a whole count of `PX_STEP`, so one that
+// composes to within half a step of a pixel boundary is on that boundary and
+// belongs to the pixel above it. Flooring the product instead drops a pixel
+// wherever a fraction divides a window exactly: a fifth of 1920 comes out of
+// `REL_STEP` as 383.99998, and five tabs each lose their last column.
+//
+// Taken over the whole coordinate, fraction and pixels summed, since a floor
+// does not distribute over a sum: floored apart, a half of one and a half of
+// the other lose the pixel the two together make.
+fn snap_floor(v: vec2<f32>) -> vec2<f32> {
+    return floor(v + PX_STEP * 0.5);
+}
+
+struct RawScalar {
+    rel: i32,
+    px: i32,
+}
+
+struct RawSpan {
+    start: RawScalar,
+    end: RawScalar,
+}
+
+fn scalar_of(raw: RawScalar) -> Len {
+    return Len(f32(raw.rel) * REL_STEP, f32(raw.px) * PX_STEP);
+}
+
+fn span_of(raw: RawSpan) -> UiSpan {
+    return UiSpan(scalar_of(raw.start), scalar_of(raw.end));
+}
+
+fn scalar_of_pair(raw: vec2<i32>) -> Len {
+    return Len(f32(raw.x) * REL_STEP, f32(raw.y) * PX_STEP);
+}
+
 struct Region {
     x: UiSpan,
     y: UiSpan,
@@ -37,11 +76,12 @@ const MOVE_NONE: u32 = 4294967295u;
 // resolve a deep one the same way.
 const CHAIN_LIMIT: u32 = 64u;
 
-// Written the way `UiScalar::within` writes it rather than as `mix`, so the
-// CPU and the shader compose a position with the same arithmetic and answer
-// the same thing about where a widget is.
-fn scalar_within(s: UiScalar, p: UiSpan) -> UiScalar {
-    return UiScalar(
+// The same expression `Len::within` uses, in floats rather than on the
+// CPU's grid: a move is resolved here so that scrolling a subtree writes one
+// entry instead of walking it. What has to hold is that this agrees with
+// itself frame to frame, not that it matches the CPU to the last bit.
+fn scalar_within(s: Len, p: UiSpan) -> Len {
+    return Len(
         p.start.rel + (p.end.rel - p.start.rel) * s.rel,
         s.px + (p.start.px + (p.end.px - p.start.px) * s.rel),
     );
@@ -59,27 +99,27 @@ fn resolve_move(idx: u32, local: Region) -> Region {
             break;
         }
         let entry = move_offsets[at];
-        r = Region(span_within(r.x, entry.x), span_within(r.y, entry.y));
+        r = Region(span_within(r.x, span_of(entry.x)), span_within(r.y, span_of(entry.y)));
         at = entry.parent;
     }
     return r;
 }
 
 struct UiSpan {
-    start: UiScalar,
-    end: UiScalar,
+    start: Len,
+    end: Len,
 }
 
-struct UiScalar {
+struct Len {
     rel: f32,
     px: f32,
 }
 
 struct InstanceInput {
-    @location(0) x_start: vec2<f32>,
-    @location(1) x_end: vec2<f32>,
-    @location(2) y_start: vec2<f32>,
-    @location(3) y_end: vec2<f32>,
+    @location(0) x_start: vec2<i32>,
+    @location(1) x_end: vec2<i32>,
+    @location(2) y_start: vec2<i32>,
+    @location(3) y_end: vec2<i32>,
     @location(4) mask_idx: u32,
     @location(5) move_idx: u32,
 }
@@ -102,8 +142,8 @@ fn vs_main(
     var out: VertexOutput;
 
     let local = Region(
-        UiSpan(UiScalar(in.x_start.x, in.x_start.y), UiScalar(in.x_end.x, in.x_end.y)),
-        UiSpan(UiScalar(in.y_start.x, in.y_start.y), UiScalar(in.y_end.x, in.y_end.y)),
+        UiSpan(scalar_of_pair(in.x_start), scalar_of_pair(in.x_end)),
+        UiSpan(scalar_of_pair(in.y_start), scalar_of_pair(in.y_end)),
     );
     let r = resolve_move(in.move_idx, local);
     let top_left_rel = vec2(r.x.start.rel, r.y.start.rel);
@@ -111,8 +151,8 @@ fn vs_main(
     let bot_right_rel = vec2(r.x.end.rel, r.y.end.rel);
     let bot_right_px = vec2(r.x.end.px, r.y.end.px);
 
-    let top_left = floor(top_left_rel * window.dim) + floor(top_left_px);
-    let bot_right = floor(bot_right_rel * window.dim) + floor(bot_right_px);
+    let top_left = snap_floor(top_left_rel * window.dim + top_left_px);
+    let bot_right = snap_floor(bot_right_rel * window.dim + bot_right_px);
     let size = bot_right - top_left;
 
     let uv = vec2<f32>(
@@ -137,14 +177,14 @@ fn masked(in: VertexOutput, color: vec4<f32>) -> vec4<f32> {
     let mask = masks[in.mask_idx];
     // Its own chain, not the drawn primitive's, so a stationary viewport
     // clips content that moves inside it.
-    let m = resolve_move(mask.move_idx, Region(mask.x, mask.y));
+    let m = resolve_move(mask.move_idx, Region(span_of(mask.x), span_of(mask.y)));
     let tl = vec2(m.x.start.rel, m.y.start.rel);
     let tl_px = vec2(m.x.start.px, m.y.start.px);
     let br = vec2(m.x.end.rel, m.y.end.rel);
     let br_px = vec2(m.x.end.px, m.y.end.px);
 
-    let top_left = floor(tl * window.dim) + floor(tl_px);
-    let bot_right = floor(br * window.dim) + floor(br_px);
+    let top_left = snap_floor(tl * window.dim + tl_px);
+    let bot_right = snap_floor(br * window.dim + br_px);
     let pos = in.clip_position.xy;
     if pos.x < top_left.x || pos.x > bot_right.x || pos.y < top_left.y || pos.y > bot_right.y {
         return color * 0.0;

core/src/ui/active.rs

@@ -1,50 +1,91 @@
 use crate::{
-    LayerId, Len, MaskIdx, MoveIdx, PrimitiveHandle, Size, TextureHandle, UiRegion, WidgetId,
-    util::Vec2,
+    LayerId, LayoutHolds, LayoutLen, Len, MaskIdx, MoveIdx, Place, RegionAlign, RetainedPrimitive,
+    Size, TextureHandle, UiRegion, UiVec2, WidgetId,
 };
 
-/// important non rendering data for retained drawing
+/// What is kept of a widget its parent has asked about. `drawn` says whether
+/// it currently draws; one that does not is kept so that a change to it, or
+/// under it, still reaches whoever asked.
 #[derive(Debug)]
 pub struct ActiveData {
     pub id: WidgetId,
-    pub region: UiRegion,
-    /// What the widget said it used of `region`, the last time it drew.
+    /// Where its drawing goes, in its region node's coordinates.
+    pub extent: UiRegion,
+    /// What a fraction declared or reported under this widget is a fraction
+    /// of, as a length of the window.
+    pub frame: UiVec2,
+    /// A frame its parent decided for it on each axis -- a row's slot, or
+    /// padding's frame less its pixels -- as a length of the window. `None`
+    /// forwards the parent's frame. What it declared is kept separately in
+    /// `declared` and is a fraction of whichever of the two reached it.
+    pub narrow: [Option<Len>; 2],
+    /// Where its drawing was put, and where it was asked, each as a part of
+    /// its parent's box. The two differ where a container asks in one place
+    /// and puts the answer in another -- a row measures from its cursor and
+    /// puts the child in its slot. A part is a length from the box's start,
+    /// so a box that moved re-places every child by re-adding that start.
+    pub placed: [Place; 2],
+    pub asked: [Place; 2],
+    /// The box it was asked in, in the parent's region-node coordinates: the
+    /// box its drawing was made in and the one its contract is about. Its
+    /// drawing is placed elsewhere by re-expression, never by asking again.
+    pub 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)>,
+    /// Asked more than once in its parent's last draw -- measured in one box
+    /// and then asked in the one the parent decided. The parent's layout
+    /// rests on the first answer and its drawing on the last, so only the
+    /// parent can ask either again.
+    pub re_asked: bool,
+    /// What the widget reported, in window-unit lengths.
     pub size: Size,
-    /// The pixel size of the box it drew against. `region` alone cannot say:
-    /// it is a fraction of a slot's box, and the same fraction of a box that
-    /// has since changed is a different number of pixels.
-    pub px: Vec2,
-    /// The pixel size of the box its parent first asked about it in, before
-    /// knowing what it came to. `px` may be a box derived from that answer,
-    /// and a size measured there is only the same answer asked again.
-    pub offered_px: Vec2,
+    /// The window and extent reads that this drawing holds for, and the
+    /// frame and box it pinned.
+    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
     /// draw rather than worked out by walking up, so it is right for every
     /// 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>,
-    /// Offered pixel axes which flowed into this widget's reported size,
-    /// directly or through a child size it read.
-    pub size_box_inputs: [bool; 2],
-    /// Output axes read while producing `size`, distinct from the widget's
-    /// own box when that box has a fixed pixel length.
-    pub size_output_inputs: [bool; 2],
-    /// The output dimensions against which those dependencies were observed.
-    pub output_px: Vec2,
-    /// The slot its primitives are positioned through: its own if its parent
-    /// placed it, otherwise the nearest ancestor that has one.
+    /// 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<Len>; 2],
-    /// The slot `region` is given in, which is whatever its parent drew in.
+    pub declared: [Option<LayoutLen>; 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 `extent` uses when this widget
+    /// does not own a region node.
     pub parent_move: MoveIdx,
+    /// The mask its drawing is clipped to: one it set itself, or the one it
+    /// inherited from whoever drew it.
     pub mask: MaskIdx,
+    /// That inherited one. The two differ exactly where the widget set a
+    /// mask of its own, which is the one it owns and the one a move rewrites
+    /// -- and the one a redraw of it must not be handed back, since setting
+    /// a mask asserts there is none.
+    pub parent_mask: MaskIdx,
     pub layer: LayerId,
 }
+
+impl ActiveData {
+    /// What it answered when its parent asked, where it has been asked at
+    /// all. Not `size`, which is what its last drawing reported: a drawing
+    /// re-expressed in the box that answer chose is not a second answer.
+    pub fn measured(&self) -> Option<Size> {
+        self.answer.map(|(size, _)| size)
+    }
+}

core/src/ui/holds.rs

@@ -0,0 +1,193 @@
+use crate::{Len, Px, REL_SHIFT, fixed::div_toward, fixed::narrow};
+use std::ops::RangeInclusive;
+
+/// The lengths of a box, in pixels, that one drawing of a widget holds for:
+/// give the widget any box in this range and it draws the same thing and
+/// reports the same size. A widget that never reads its box in pixels holds
+/// for every length; one that does holds for the one it read unless it says
+/// otherwise, and a parent holds for whatever keeps every child it asked
+/// about or drew inside its own range.
+///
+/// The ends are lengths on the grid rather than floats with a tolerance
+/// around them: a box offered back at the length a widget reported comes back
+/// as the same number, so a range means what it says. The one place a range
+/// is wider than the length it came from is [`Self::through`], and what it is
+/// wider by is the floor that inverting a fraction undoes.
+#[derive(Clone, Copy, Debug, PartialEq, Eq)]
+pub struct Holds {
+    pub lo: Px,
+    pub hi: Px,
+}
+
+impl Holds {
+    pub const ANY: Self = Self {
+        lo: Px::MIN,
+        hi: Px::MAX,
+    };
+
+    pub const fn at(len: Px) -> Self {
+        Self { lo: len, hi: len }
+    }
+
+    pub const fn contains(&self, len: Px) -> bool {
+        len.raw() >= self.lo.raw() && len.raw() <= self.hi.raw()
+    }
+
+    pub const fn and(self, other: Self) -> Self {
+        Self {
+            lo: self.lo.max(other.lo),
+            hi: self.hi.min(other.hi),
+        }
+    }
+
+    /// What a box has to be for a part of it, `len` of the box long, to stay
+    /// in this range: the exact preimage of `px + floor(rel * box)`, which is
+    /// the one way a box in pixels is reached. A part with no relative extent
+    /// is a fixed length -- it was drawn at that length and any box keeps it
+    /// there.
+    ///
+    /// The answer is an interval even where this range is a single length,
+    /// because the multiply on the way in drops to the step below and many
+    /// boxes therefore give one length. That is a floor rather than an
+    /// 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;
+        }
+        let px = len.px.raw() as i64;
+        // `floor(rel * box) >= lo - px` is `rel * box >= (lo - px) << REL`, and
+        // `floor(rel * box) <= hi - px` is `rel * box < (hi - px + 1) << REL`.
+        let lo = (self.lo.raw() as i64 - px) << REL_SHIFT;
+        let hi = (((self.hi.raw() as i64 - px) + 1) << REL_SHIFT) - 1;
+        // Dividing by a negative fraction turns the ends around, so which
+        // bound each comes from is decided before dividing rather than by
+        // taking the min and max of four divisions.
+        match rel > 0 {
+            true => Self::raws(div_toward(lo, rel, true), div_toward(hi, rel, false)),
+            false => Self::raws(div_toward(hi, rel, true), div_toward(lo, rel, false)),
+        }
+    }
+
+    /// What a box has to be for a part of it, this many pixels shorter, to
+    /// stay in this range: the range moved by that much, an end that was
+    /// unbounded staying so.
+    pub const fn longer_by(self, px: Px) -> Self {
+        let lo = match self.lo.raw() == Px::MIN.raw() {
+            true => self.lo,
+            false => self.lo.add(px),
+        };
+        let hi = match self.hi.raw() == Px::MAX.raw() {
+            true => self.hi,
+            false => self.hi.add(px),
+        };
+        Self { lo, hi }
+    }
+
+    const fn raws(lo: i64, hi: i64) -> Self {
+        Self {
+            lo: Px::from_raw(narrow(lo)),
+            hi: Px::from_raw(narrow(hi)),
+        }
+    }
+}
+
+impl From<RangeInclusive<Px>> for Holds {
+    fn from(range: RangeInclusive<Px>) -> Self {
+        Self {
+            lo: *range.start(),
+            hi: *range.end(),
+        }
+    }
+}
+
+#[cfg(test)]
+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.
+        let part = Len::from_parts(Rel::from_f32(-0.5), Px::from_int(10));
+        let holds = Holds::from(Px::from_int(20)..=Px::from_int(40)).through(part);
+        assert!(holds.contains(Px::from_int(-60)) && holds.contains(Px::from_int(-20)));
+        assert!(!holds.contains(Px::from_int(-61)) && !holds.contains(Px::from_int(-19)));
+    }
+
+    /// The case the widening is for: a part that holds only for the length it
+    /// was drawn at has to hold for the box it was drawn in, and a third of a
+    /// box is not a whole number of steps.
+    #[test]
+    fn a_part_maps_back_onto_the_box_it_was_measured_in() {
+        let part = Len::from_parts(Rel::from_f32(1.0 / 3.0), Px::from_int(-146));
+        for box_len in (440..460).map(Px::from_int) {
+            let holds = Holds::at(part.to_px(box_len)).through(part);
+            assert!(holds.contains(box_len), "{box_len:?} left out by {holds:?}");
+        }
+    }
+
+    /// A widget handed the whole of its parent's box, with or without pixels
+    /// taken off it, has no fraction to invert: multiplying by one is exact
+    /// and taking the pixels off again is too, so the box maps back to
+    /// itself. Allowing for anything here compounded a step a level down a
+    /// chain of widgets each taking the whole of its parent.
+    #[test]
+    fn the_whole_of_a_box_maps_back_to_itself() {
+        let at = Px::from_int(956);
+        assert_eq!(Holds::at(at).through(Len::FULL), Holds::at(at));
+        let less_eight = Len::from_parts(Rel::ONE, Px::from_int(-8));
+        assert_eq!(
+            Holds::at(at).through(less_eight),
+            Holds::at(at + Px::from_int(8))
+        );
+    }
+
+    /// The range is the exact preimage at both ends, so a box one step
+    /// outside it really does give a length outside this range. What a wider
+    /// range costs is a drawing reused where it does not hold.
+    #[test]
+    fn a_box_one_step_outside_the_range_is_outside_it() {
+        let part = Len::from_parts(Rel::from_f32(1.0 / 3.0), Px::from_int(-146));
+        let at = Px::from_int(300);
+        let holds = Holds::at(at).through(part);
+        for inside in [holds.lo, holds.hi] {
+            assert_eq!(part.to_px(inside), at, "{inside:?} left out of {holds:?}");
+        }
+        for outside in [holds.lo.next_down(), holds.hi.next_up()] {
+            assert_ne!(part.to_px(outside), at, "{outside:?} admitted by {holds:?}");
+        }
+    }
+
+    /// A truncating multiply only ever drops, so the step it needs allowing
+    /// for on the way in belongs at the top of the range and not the bottom.
+    #[test]
+    fn a_fraction_widens_further_up_than_down() {
+        let half = Len::from_parts(Rel::from_f32(0.5), Px::ZERO);
+        let holds = Holds::at(Px::from_int(100)).through(half);
+        let box_len = Px::from_int(200);
+        assert!(holds.hi - box_len > box_len - holds.lo, "{holds:?}");
+    }
+
+    #[test]
+    fn a_boundary_the_next_step_along_does_not_admit_it() {
+        let boundary = Px::from_int(10);
+        let above = Holds::from(boundary.next_up()..=Px::MAX);
+        assert!(!above.contains(boundary));
+        assert!(above.contains(boundary.next_up()));
+    }
+}

core/src/ui/layout_holds.rs

@@ -0,0 +1,79 @@
+use crate::{Axis, Holds, Len, PxVec2, UiRegion, UiVec2};
+
+const AXES: [Axis; 2] = [Axis::X, Axis::Y];
+
+/// What one evaluation of a widget depends on: the window lengths its reads
+/// hold for, the pixel lengths of its own box, and the symbolic lengths of
+/// that box and of its frame where either one is what it was expressed in.
+///
+/// The symbolic lengths are pins rather than ranges: 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. A box pin reaches the parent only where the box it pinned is the
+/// parent's own; anywhere else the parent chose that length itself, and a
+/// widget pinned this way is checked when it is re-placed.
+///
+/// A frame pin says the answer or the drawing is a fraction of the frame,
+/// which is a different length wherever the frame is a different one -- at
+/// the same window size, so no range of window pixels can say it. A length
+/// of the frame that is only pixels is not one: it is that many pixels
+/// whatever the frame turns out to be.
+#[derive(Clone, Copy, Debug, PartialEq)]
+pub struct LayoutHolds {
+    pub window: [Holds; 2],
+    pub frame_len: [Option<Len>; 2],
+    pub extent: [Holds; 2],
+    pub extent_len: [Option<Len>; 2],
+}
+
+impl LayoutHolds {
+    pub const ANY: Self = Self {
+        window: [Holds::ANY; 2],
+        frame_len: [None; 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.window[n] = self.window[n].and(other.window[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]
+            );
+            debug_assert!(
+                self.frame_len[n].is_none()
+                    || other.frame_len[n].is_none()
+                    || self.frame_len[n] == other.frame_len[n]
+            );
+            result.extent_len[n] = self.extent_len[n].or(other.extent_len[n]);
+            result.frame_len[n] = self.frame_len[n].or(other.frame_len[n]);
+        }
+        result
+    }
+
+    pub fn covers(self, other: Self) -> bool {
+        (0..2).all(|n| {
+            self.window[n].lo <= other.window[n].lo
+                && self.window[n].hi >= other.window[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))
+                && self.frame_len[n].is_none_or(|len| other.frame_len[n] == Some(len))
+        })
+    }
+
+    pub fn contains(self, window: PxVec2, frame: UiVec2, extent: UiRegion) -> bool {
+        AXES.into_iter().all(|axis| {
+            let n = axis as usize;
+            let len = extent.axis(axis).len();
+            self.window[n].contains(window.axis(axis))
+                && self.frame_len[n].is_none_or(|pinned| pinned == frame.axis(axis))
+                && self.extent[n].contains(len.to_px(window.axis(axis)))
+                && self.extent_len[n].is_none_or(|pinned| pinned == len)
+        })
+    }
+}

core/src/ui/mod.rs

@@ -10,11 +10,17 @@ use crate::{
 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)]
@@ -66,17 +72,24 @@ impl Moves {
         }
     }
 
-    /// Composes a region held in `idx`'s coordinates down the chain, which is
-    /// the same walk the vertex shader does.
+    /// The same walk the vertex shader does, in the same `Len` the shader is
+    /// handed, for asking where a drawing will actually land -- hit testing,
+    /// and nothing layout decides on. Layout threads its lengths down the
+    /// draw instead, so no box it compares is composed back up this chain.
     pub fn resolve(&self, idx: MoveIdx, local: UiRegion) -> UiRegion {
         let mut region = local;
+        self.walk(idx, |entry| region = region.within(entry));
+        region
+    }
+
+    fn walk(&self, idx: MoveIdx, mut step: impl FnMut(&UiRegion)) {
         let mut at = idx;
         for _ in 0..CHAIN_LIMIT {
             if at == MoveIdx::NONE {
-                return region;
+                return;
             }
-            let entry = self.arena[at.idx()];
-            region = region.within(&entry.region);
+            let entry = &self.arena[at.idx()];
+            step(&entry.region);
             at = entry.parent;
         }
         debug_assert!(
@@ -84,7 +97,6 @@ impl Moves {
             "a move chain longer than {CHAIN_LIMIT} resolves to the wrong place, \
              and the shader stops at the same depth"
         );
-        region
     }
 
     /// How many slots a region in `idx` is composed through, which is what

core/src/ui/painter.rs

@@ -1,38 +1,63 @@
 #[cfg(feature = "layout-diagnostics")]
 use crate::layout_diagnostics::{self as diag, Counter};
 use crate::{
-    Axis, Len, RenderedText, Size, StrongWidget, TextAttrs, TextBuffer, TextData, TextureHandle,
-    UiRegion, UiRenderState, UiRsc, UiScalar, UiVec2, Widget, WidgetId,
+    Axis, Holds, LayoutHolds, LayoutLen, Len, Part, Place, Px, PxVec2, RegionAlign, Rel,
+    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,
     },
-    util::Vec2,
+    ui::render_state::{DrawInfo, Placing},
 };
+const AXES: [Axis; 2] = [Axis::X, Axis::Y];
 
 /// makes your surfaces look pretty
 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,
+    /// This widget's frame, per axis: a length of the window, and what a
+    /// fraction it or anything under it declares or reports is a fraction
+    /// of. A length rather than a box, so padding can take from both the
+    /// frame and the box without either becoming the other.
+    pub(super) frame: UiVec2,
+    /// Where this widget's drawing goes, in its region node's coordinates.
+    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 window in pixels. Frames and boxes become pixels against this one
+    /// unit, regardless of region-node boundaries.
+    pub(super) window: 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
-    /// about is the one recorded as its offer.
-    pub(super) offered: Vec<WidgetId>,
     /// The children whose size this widget read while drawing.
     pub(super) size_deps: Vec<WidgetId>,
-    /// Offered pixel axes which can affect the size this draw reports.
-    pub(super) size_box_inputs: [bool; 2],
-    pub(super) size_output_inputs: [bool; 2],
-    /// The slot this widget's primitives are positioned through: its own if
-    /// its parent placed it, otherwise the nearest ancestor that has one.
+    /// What this draw itself read of the window in pixels, per axis: every
+    /// window until it reads one, then that one, unless it says otherwise.
+    pub(super) window_own: [Holds; 2],
+    /// Its frame's symbolic length where this draw read it, which makes the
+    /// drawing one that holds for that frame alone.
+    pub(super) frame_own_len: [Option<Len>; 2],
+    /// The window reads' equivalent for its own box.
+    pub(super) extent_own: [Holds; 2],
+    /// What each child's drawing depends on. Asking a child again replaces
+    /// its drawing, so it replaces this too rather than narrowing it.
+    pub(super) under: Vec<(WidgetId, 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,
     pub layer: usize,
+    /// The layer this widget was entered on, which its children's layers are
+    /// counted from however far `layer` has walked.
+    pub(super) own_layer: usize,
     pub(super) depth: usize,
     pub(super) id: WidgetId,
 }
@@ -45,6 +70,22 @@ 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 its region
+    /// node's coordinates.
+    fn resolve(&self, region: UiRegion) -> UiRegion {
+        region.within(&self.extent)
+    }
+
+    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(
@@ -53,15 +94,15 @@ 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);
@@ -69,129 +110,185 @@ 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> {
-        let declared = self.declared_lens(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 region = match declared.iter().any(Option::is_some) {
-            true => declared_box(UiRegion::FULL, declared).within(&self.region),
-            false => self.region,
-        };
-        self.widget_at(id, region, false, declared)
+        self.widget_at(id, [None; 2], [Place::Within(Part::All); 2])
     }
 
-    /// Draws a widget somewhere within this one.
-    pub fn widget_within<'s, W: ?Sized>(
+    /// Asks a child, saying what its fractions are of and where it is asked.
+    ///
+    /// `narrow` is a length this widget decided for the child's frame, per
+    /// axis, as a length of this widget's own frame: a resolved share, or a
+    /// box a sibling's answer decided. `None` 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. A declared length narrows the frame here whatever the
+    /// caller says. A narrowed frame is placed in the part by the child's
+    /// alignment and is the box the child is asked in.
+    ///
+    /// `place` is where the child is asked, per axis, as a part of this
+    /// widget's box: see [`Place`]. The child draws once, in that box, and
+    /// its answer is placed inside it by re-expressing the drawing. Nothing
+    /// is drawn again in a box an answer chose; a container that puts the
+    /// answer somewhere else says so with [`Self::place_at`].
+    pub fn widget_at<'s, W: ?Sized>(
         &'s mut self,
         id: &'s StrongWidget<W>,
-        region: UiRegion,
+        narrow: [Option<Len>; 2],
+        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 region = declared_box(region, declared).within(&self.region);
-        self.widget_at(id, region, false, declared)
-    }
-
-    /// What a widget declares its lengths to be, which whoever draws it
-    /// resolves into its box. `rest` is not among them: a share of what is
-    /// left over is only a length to the widget dividing one, so it passes
-    /// up in the size instead. Reading it depends on nothing -- the box that
-    /// comes of it is kept on the child, and `redraw` compares it there.
-    fn declared_lens<W: ?Sized>(&self, id: &StrongWidget<W>) -> [Option<Len>; 2] {
-        let Some(widget) = self.rsc.widgets().get_dyn(id.id()) else {
-            return [None; 2];
-        };
-        [Axis::X, Axis::Y].map(|axis| declared_len(widget, axis))
-    }
-
-    /// Draws a child this widget decides the box of, and may decide again
-    /// once it knows what the child came to. The child gets a slot of its
-    /// own, so placing it a second time writes one entry however much it
-    /// drew -- moved or resized alike, since everything under the slot is
-    /// held as a fraction of its box. A child drawn any other way has no slot
-    /// and can only be given a different box by drawing again.
-    pub fn place<'s, W: ?Sized>(
-        &'s mut self,
-        id: &'s StrongWidget<W>,
-        region: UiRegion,
-    ) -> DrawResult<'s, 'a, W> {
+        let align = self.rsc.widgets().alignment(id.id());
+        let (frame, extent) =
+            frame_and_extent(self.extent, self.frame, place, narrow, declared, align);
         #[cfg(feature = "layout-diagnostics")]
-        diag::bump(Counter::PlaceCalls);
-        let declared = self.declared_lens(id);
-        let region = declared_box(region, declared).within(&self.region);
-        #[cfg(feature = "layout-diagnostics")]
-        diag::placed(id.id(), self.id, region);
-        self.widget_at(id, region, true, declared)
-    }
-
-    fn widget_at<'s, W: ?Sized>(
-        &'s mut self,
-        id: &'s StrongWidget<W>,
-        region: UiRegion,
-        slotted: bool,
-        declared: [Option<Len>; 2],
-    ) -> DrawResult<'s, 'a, W> {
+        if region_node {
+            diag::bump(Counter::RegionNodeDraws);
+            diag::region_node(id.id(), self.id, extent);
+        }
         // A child listed twice would be moved twice.
-        if !self.children.contains(&id.id()) {
+        let re_asked = self.children.contains(&id.id());
+        if !re_asked {
             self.children.push(id.id());
         }
-        let size = self.state.draw_inner(
-            self.layer,
+        let px = frame.to_px(self.window);
+        let (size, answer_holds, holds) = self.state.draw_inner(
             id.id(),
-            region,
-            Some(self.id),
-            self.depth + 1,
-            self.move_idx,
-            slotted,
-            self.mask,
+            DrawInfo {
+                layer: self.layer,
+                parent: Some(self.id),
+                depth: self.depth + 1,
+                parent_move: self.move_idx,
+                region_node,
+                mask: self.mask,
+                frame,
+                part: extent,
+                placed: place,
+                asked: place,
+                narrow,
+                re_asked,
+                px,
+            },
             None,
             self.rsc,
         );
-        self.offer(id.id(), region);
-        if let Some(active) = self.state.active.get_mut(&id.id()) {
-            active.declared = declared;
+        let holds = self.in_parent(holds, extent, place, narrow, declared);
+        let answer_holds = self.in_parent(answer_holds, extent, place, narrow, declared);
+        match self.under.iter_mut().find(|(child, _)| *child == id.id()) {
+            Some((_, kept)) => *kept = holds,
+            None => self.under.push((id.id(), holds)),
         }
         DrawResult {
             child: id,
             painter: self,
             size,
+            answer_holds,
         }
     }
 
-    /// 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<Len> {
-        let hint = self
-            .rsc
-            .widgets()
-            .get_dyn(id.id())
-            .and_then(|widget| widget.size_hint(axis));
+    /// 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.under.retain(|(child, _)| *child != id.id());
+        self.state.undraw_rec(id.id(), self.rsc);
+    }
+
+    /// Puts a child asked about in this draw somewhere else in this
+    /// widget's box: its answer, placed in this part instead. The drawing
+    /// is re-expressed there rather than made again -- what a row does once
+    /// it knows every slot, having measured each child from its cursor.
+    pub fn place_at<W: ?Sized>(&mut self, id: &StrongWidget<W>, place: [Place; 2]) {
+        debug_assert!(
+            self.children.contains(&id.id()),
+            "'{}' placed a child it did not ask about in this draw",
+            self.label()
+        );
+        let at = self.placing();
+        self.state.place_in(id.id(), &at, place, self.rsc);
+    }
+
+    /// This widget as the thing its children are placed within.
+    fn placing(&self) -> Placing {
+        Placing {
+            id: self.id,
+            extent: self.extent,
+            frame: self.frame,
+            window: self.window,
+            depth: self.depth,
+            move_idx: self.move_idx,
+            mask: self.mask,
+        }
+    }
+
+    /// 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,
+    /// as the length its draw would report: a fraction in it is resolved
+    /// against this widget's frame, which is the frame a child asked with
+    /// nothing narrowed gets. Asking counts as reading its size.
+    pub fn size_hint<W: ?Sized>(&mut self, id: &StrongWidget<W>, axis: Axis) -> Option<LayoutLen> {
+        let widgets = self.rsc.widgets();
+        // A rule is the answer where there is one: it wins over whatever the
+        // widget would draw, so it has to win over what the widget says too.
+        let hint = widgets
+            .size_rules(id.id())
+            .axis(axis)
+            .exact()
+            .or_else(|| {
+                widgets
+                    .get_dyn(id.id())
+                    .and_then(|widget| widget.size_hint(axis))
+            })
+            .map(|hint| hint.within_len(self.frame.axis(axis)));
         #[cfg(feature = "layout-diagnostics")]
         diag::hint_read(id.id(), self.id, axis, hint);
         match hint {
             Some(hint) => {
                 #[cfg(feature = "layout-diagnostics")]
                 diag::bump(Counter::HintHits);
-                self.depend_on_hint(id);
+                self.depend_on(id);
+                // A fraction was just resolved against this frame, so what
+                // this draw does with it is a function of the frame's length.
+                if hint.rel != Rel::ZERO {
+                    self.frame_own_len[axis as usize] = Some(self.frame.axis(axis));
+                }
                 Some(hint)
             }
             None => {
@@ -202,87 +299,10 @@ impl<'a> Painter<'a> {
         }
     }
 
-    /// A retained child length valid under the region it is about to be
-    /// offered. Unlike a hint, this is contextual: it is kept only when none
-    /// of the offered pixel axes which produced it changed.
-    pub fn known_len<W: ?Sized>(
-        &mut self,
-        child: &StrongWidget<W>,
-        axis: Axis,
-        region: UiRegion,
-    ) -> Option<Len> {
-        let region = region.within(&self.region);
-        self.offer(child.id(), region);
-        if let Some(hint) = self.size_hint(child, axis) {
-            return Some(hint);
-        }
-        self.retained_size(child, region)
-            .map(|size| size.axis(axis))
-    }
-
-    /// `region` in this widget's own coordinates.
-    fn retained_size<W: ?Sized>(
-        &mut self,
-        child: &StrongWidget<W>,
-        region: UiRegion,
-    ) -> Option<Size> {
-        let (size, box_inputs, output_inputs) =
-            self.state
-                .retained_size(child.id(), region, self.move_idx, self.rsc.widgets())?;
-        #[cfg(feature = "layout-diagnostics")]
-        diag::bump(Counter::RetainedSizeHits);
-        self.depend_on_size_inputs(child, box_inputs, output_inputs);
-        Some(size)
-    }
-
-    /// Records the box a child was first asked about in this draw. Any later
-    /// box this draw gives it was decided knowing its answer, so a size the
-    /// child measures there is not an answer to this widget's question.
-    fn offer(&mut self, child: WidgetId, region: UiRegion) {
-        if self.offered.contains(&child) {
-            return;
-        }
-        self.offered.push(child);
-        let px = self.state.px_of(self.move_idx, region);
-        if let Some(active) = self.state.active.get_mut(&child) {
-            active.offered_px = px;
-        }
-    }
-
-    /// Depends on a length the child gave without being drawn. A hint is
-    /// context-free, so this depends on the child but on no pixel axis.
-    fn depend_on_hint<W: ?Sized>(&mut self, child: &StrongWidget<W>) {
-        self.depend_on_size_inputs(child, [false; 2], [false; 2]);
-    }
-
-    /// Depends on a size the child produced by drawing, which carries
-    /// whatever the child read to produce it.
-    fn depend_on_drawn_size<W: ?Sized>(&mut self, child: &StrongWidget<W>) {
-        let (box_inputs, output_inputs) = self
-            .state
-            .active
-            .get(&child.id())
-            .map_or(([false; 2], [false; 2]), |active| {
-                (active.size_box_inputs, active.size_output_inputs)
-            });
-        self.depend_on_size_inputs(child, box_inputs, output_inputs);
-    }
-
-    fn depend_on_size_inputs<W: ?Sized>(
-        &mut self,
-        child: &StrongWidget<W>,
-        box_inputs: [bool; 2],
-        output_inputs: [bool; 2],
-    ) {
+    fn depend_on<W: ?Sized>(&mut self, child: &StrongWidget<W>) {
         if !self.size_deps.contains(&child.id()) {
             self.size_deps.push(child.id());
         }
-        for (own, child) in self.size_box_inputs.iter_mut().zip(box_inputs) {
-            *own |= child;
-        }
-        for (own, child) in self.size_output_inputs.iter_mut().zip(output_inputs) {
-            *own |= child;
-        }
     }
 
     pub fn render_text<'b>(
@@ -297,17 +317,27 @@ 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;
-            region.x.end = region.x.start;
-            region.y.end = region.y.start;
-            let mut region = region.offset(UiVec2::px(glyph.offset));
-            region.x.end = region.x.start + UiScalar::px(glyph.entry.width as f32);
-            region.y.end = region.y.start + UiScalar::px(glyph.entry.height as f32);
-            self.write(
+            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));
+                let size = PxVec2::new(
+                    Px::from_int(glyph.entry.width as i32),
+                    Px::from_int(glyph.entry.height as i32),
+                );
+                region.x.end = region.x.start.offset(size.x);
+                region.y.end = region.y.start.offset(size.y);
+                region
+            };
+            self.write_resolved(
                 kind,
                 GlyphPrimitive {
                     uv_min: glyph.entry.uv_min,
@@ -316,56 +346,122 @@ 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
     }
 
-    /// The output's size in pixels. A widget that reads it draws again when
-    /// the output changes, since nothing else can put that right.
-    pub fn output_size(&mut self) -> Vec2 {
-        self.size_output_inputs = [true; 2];
-        self.state.output_size
+    /// The symbolic length of this widget's frame along one axis: what a
+    /// fraction it or anything under it declares is a fraction of. A
+    /// container reads it to hand a length of it down -- padding, which
+    /// takes its pixels off. Reading it pins the drawing to that frame, the
+    /// way [`Self::extent_len`] pins it to the box.
+    pub fn frame_len(&mut self, axis: Axis) -> Len {
+        let len = self.frame.axis(axis);
+        self.frame_own_len[axis as usize] = Some(len);
+        len
     }
 
-    /// One axis of the output in pixels. Prefer this to [`Self::output_size`]
-    /// when the other axis cannot affect the size this widget reports.
-    pub fn output_len(&mut self, axis: Axis) -> f32 {
-        self.size_output_inputs[axis as usize] = true;
-        self.state.output_size.axis(axis)
+    /// Where this widget sits in a box longer than the length it takes. A
+    /// widget that positions its own content reads it to place that content
+    /// the way the box around it would have placed the widget.
+    pub fn alignment(&self) -> RegionAlign {
+        self.rsc.widgets().alignment(self.id)
     }
 
-    /// This widget's box in pixels. Resolved against the output's size and
-    /// the boxes it sits within, so a widget that reads it draws again when
-    /// the output changes.
-    pub fn px_size(&mut self) -> Vec2 {
-        self.size_box_inputs = [true; 2];
-        let region = self.state.moves.resolve(self.move_idx, self.region);
-        region.size().to_px(self.state.output_size)
-    }
-
-    /// One axis of this widget's box in pixels. Prefer this to
-    /// [`Self::px_size`] when the other axis cannot affect the reported size.
-    pub fn px_len(&mut self, axis: Axis) -> f32 {
-        self.size_box_inputs[axis as usize] = true;
-        self.px_len_for_draw(axis)
-    }
-
-    /// One axis of this widget's box in pixels, for a draw whose reported
-    /// size does not follow from it -- a clamp or a position. Nothing records
-    /// the read, so a size that does depend on it would go stale.
-    pub fn px_len_for_draw(&self, axis: Axis) -> f32 {
-        let region = self.state.moves.resolve(self.move_idx, self.region);
-        region
-            .size()
+    /// Whether a rule beside this widget gives its length on `axis` outright,
+    /// which makes whatever it reports for that axis moot. A rule that only
+    /// bounds the length is not one of these: the answer is still the
+    /// widget's to give, and something still has to work it out.
+    ///
+    /// The widget under a rule does not otherwise learn of it -- this is for
+    /// a container deciding whether reading its children across an axis is
+    /// worth anything, since reading one is also what makes its own size
+    /// depend on it.
+    pub fn has_exact_size(&self, axis: Axis) -> bool {
+        self.rsc
+            .widgets()
+            .size_rules(self.id)
             .axis(axis)
-            .to_px(self.state.output_size.axis(axis))
+            .exact()
+            .is_some()
+    }
+
+    /// 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))
+    }
+
+    /// 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.window.axis(axis));
+        let own = &mut self.extent_own[axis as usize];
+        if *own == Holds::ANY {
+            *own = Holds::at(len);
+        }
+        len
+    }
+
+    /// 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.window.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;
+    }
+
+    /// A window length in pixels, which is what every length in layout is
+    /// measured in. Reading one pins the drawing to this window wherever the
+    /// length is a fraction of it; one that is only pixels is that many
+    /// pixels in any window and pins nothing.
+    pub fn to_px(&mut self, len: Len, axis: Axis) -> Px {
+        let window = self.window.axis(axis);
+        if len.rel != Rel::ZERO {
+            let own = &mut self.window_own[axis as usize];
+            if *own == Holds::ANY {
+                *own = Holds::at(window);
+            }
+        }
+        len.to_px(window)
+    }
+
+    /// The windows this drawing holds for, stated rather than taken: a
+    /// container that branched on a length in pixels says which side of the
+    /// boundary it was on, which is wider than the one window reading that
+    /// length pins, and replaces it.
+    pub fn window_holds(&mut self, axis: Axis, holds: impl Into<Holds>) {
+        let holds = holds.into();
+        debug_assert!(
+            holds.contains(self.window.axis(axis)),
+            "'{}' ({:?}) says its drawing holds for windows that leave out this one",
+            self.label(),
+            self.id
+        );
+        self.window_own[axis as usize] = holds;
     }
 
     pub fn text_data(&mut self) -> &mut TextData {
@@ -376,6 +472,18 @@ impl<'a> Painter<'a> {
         self.layer = self.state.layers.child(self.layer);
     }
 
+    /// The layer this widget's `n`th child draws on, addressed rather than
+    /// walked to. A container that measures one child by drawing it can ask
+    /// on the layer that child will end up on, and then the second ask is a
+    /// reuse rather than a second drawing on another layer.
+    pub fn child_layer_at(&mut self, n: usize) {
+        let mut at = self.state.layers.child(self.own_layer);
+        for _ in 0..n {
+            at = self.state.layers.next(at);
+        }
+        self.layer = at;
+    }
+
     pub fn next_layer(&mut self) {
         self.layer = self.state.layers.next(self.layer);
     }
@@ -396,6 +504,7 @@ 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> {
@@ -405,11 +514,12 @@ impl<W: ?Sized> DrawResult<'_, '_, W> {
             diag::bump(Counter::SizeReads);
             diag::size_read(self.child.id(), self.painter.id, self.size);
         }
-        self.painter.depend_on_drawn_size(self.child);
+        self.painter.depend_on(self.child);
+        self.painter.answer_under = self.painter.answer_under.and(self.answer_holds);
         self.size
     }
 
-    pub fn len(self, axis: Axis) -> Len {
+    pub fn len(self, axis: Axis) -> LayoutLen {
         self.size().axis(axis)
     }
 }
@@ -439,22 +549,202 @@ impl PrimitiveLike for &TextureHandle {
     }
 }
 
-/// What a widget declares a length of its box to be. `rest` is not one: a
-/// share of what is left over is only a length to the widget dividing one,
-/// so it passes up in the size instead.
-pub(crate) fn declared_len(widget: &dyn Widget, axis: Axis) -> Option<Len> {
-    widget.size_hint(axis).filter(|len| len.rest == 0.0)
+/// Moves what a child depends on into this widget's own terms: this
+/// method's `impl` block is where a `Painter`'s own boxes are, so it takes
+/// only what the child was asked with.
+impl Painter<'_> {
+    /// Window ranges are already about the one unit and combine directly.
+    /// A frame pin becomes this widget's own frame wherever a length of it
+    /// is what reached the child; where only pixels did, no length of this
+    /// frame can change the child's and the pin stops here.
+    ///
+    /// Extent validity maps back through the part of this widget's box,
+    /// where the box the child was asked in is that part; a declared length
+    /// places the box inside the part instead, and then only that length
+    /// reaches the child. A narrowed frame is not one of these: it decides
+    /// what fractions under the child mean and leaves the box the part it
+    /// was given.
+    fn in_parent(
+        &self,
+        holds: LayoutHolds,
+        extent: UiRegion,
+        place: [Place; 2],
+        narrow: [Option<Len>; 2],
+        declared: [Option<LayoutLen>; 2],
+    ) -> LayoutHolds {
+        let mut result = LayoutHolds::ANY;
+        for axis in AXES {
+            let n = axis as usize;
+            // Every read became pixels against the window, so a range on
+            // it is already in this widget's terms.
+            result.window[n] = holds.window[n];
+            let reaches = narrow[n].is_none()
+                && !matches!(place[n].part(), Part::Sized(_))
+                && declared[n].is_none_or(|len| len.rel != Rel::ZERO);
+            result.frame_len[n] = holds.frame_len[n].and(reaches.then(|| self.frame.axis(axis)));
+            match (place[n].part(), declared[n].is_some()) {
+                // 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, false) => {
+                    result.extent[n] = holds.extent[n];
+                    result.extent_len[n] = holds.extent_len[n];
+                }
+                // Its box is this widget's own less the inset. Where that is
+                // pixels, its box is exactly that many shorter in any window,
+                // so what it holds for is a range on this widget's box moved
+                // by them, and a length it pinned is this widget's length
+                // less them. An inset with a fraction in it is a different
+                // number of pixels in each window, and taking it off a length
+                // rounds once more than taking it off pixels does: there the
+                // child's box is a fixed expression of this one, so this
+                // widget's length is pinned and the range goes on the window
+                // through the child's box, the way a slot's does.
+                (Part::Inset { lead, trail }, false) => {
+                    let inset = lead + trail;
+                    match inset.rel == Rel::ZERO {
+                        true => {
+                            result.extent[n] = holds.extent[n].longer_by(inset.px);
+                            result.extent_len[n] = holds.extent_len[n].map(|pinned| pinned + inset);
+                        }
+                        false => {
+                            result.window[n] = result.window[n]
+                                .and(holds.extent[n].through(extent.axis(axis).len()));
+                            result.extent_len[n] = Some(self.extent.axis(axis).len());
+                        }
+                    }
+                }
+                // Its box is a length this widget decided, from its own
+                // frame or from a sibling's answer: no length of this
+                // widget's box reaches it, so what it holds for is a range
+                // on the window and none of it on that box.
+                _ => {
+                    result.window[n] =
+                        result.window[n].and(holds.extent[n].through(extent.axis(axis).len()));
+                }
+            }
+        }
+        result
+    }
 }
 
-/// 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. A caller that already
-/// reserved the space hands back the same length, so this is the identity
-/// for it.
-fn declared_box(mut region: UiRegion, declared: [Option<Len>; 2]) -> UiRegion {
-    for (axis, len) in [Axis::X, Axis::Y].into_iter().zip(declared) {
-        let Some(len) = len else { continue };
-        let span = region.axis_mut(axis);
-        span.end = span.start + UiScalar::new(len.rel, len.px);
+/// What a widget declares a length of its box to be. `leftover` is not one: a
+/// share of what is left over is only a length to the widget dividing one,
+/// so it passes up in the size instead.
+pub(crate) fn declared_lens(widgets: &Widgets, id: WidgetId) -> [Option<LayoutLen>; 2] {
+    let rules = widgets.size_rules(id);
+    let widget = widgets.get_dyn(id);
+    AXES.map(|axis| {
+        rules.axis(axis).declared().or_else(|| {
+            // A hint still narrows the box where no rule does, which is how a
+            // widget with a natural pixel size -- an image, a gap -- gets that
+            // size rather than the whole offer. That is the offer's business
+            // rather than a declaration's, and this falls away once a widget
+            // occupies its reported size inside the box it was offered.
+            widget
+                .and_then(|widget| widget.size_hint(axis))
+                .filter(|len| len.leftover == Weight::ZERO)
+        })
+    })
+}
+
+/// 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: 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
+}
+
+/// 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.
+///
+/// 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],
+    fill: [bool; 2],
+    align: RegionAlign,
+) -> UiRegion {
+    let mut placed = part;
+    for axis in AXES {
+        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);
+        span.start += (span.len() - len).scale(align.axis(axis).rel());
+        span.end = span.start + len;
     }
-    region
+    placed
+}
+
+/// The frame length and the box a child is asked in, in the coordinates the
+/// widget asking draws in.
+///
+/// `own` is that widget's own box, and `place` what of it the child is
+/// given. `narrow` is a frame the container decided for the child -- a row's
+/// slot, or padding's frame less its pixels -- and [`Part::Sized`] one a
+/// sibling's answer decided; both are window lengths, like every other
+/// length here, since a slot of a row is not a fraction of anything the row
+/// can name. The child's declaration is a fraction of whichever reached it,
+/// and is the only one of the three that also places the box: a box the
+/// caller decided is what `place` names.
+pub(crate) fn frame_and_extent(
+    own: UiRegion,
+    parent_frame: UiVec2,
+    place: [Place; 2],
+    narrow: [Option<Len>; 2],
+    declared: [Option<LayoutLen>; 2],
+    align: RegionAlign,
+) -> (UiVec2, UiRegion) {
+    let part = part_of(own, place, align);
+    let mut frame = parent_frame;
+    let mut extent = part;
+    for axis in AXES {
+        let n = axis as usize;
+        let sized = match place[n].part() {
+            Part::Sized(len) => Some(len),
+            _ => None,
+        };
+        let base = sized
+            .or(narrow[n])
+            .unwrap_or_else(|| parent_frame.axis(axis));
+        let len = declared[n]
+            .map(|len| Len::from_parts(len.rel, len.px).within_len(base))
+            .unwrap_or(base);
+        *frame.axis_mut(axis) = len;
+        if declared[n].is_some() {
+            let slot = part.axis(axis);
+            let start = slot.start + (slot.len() - len).scale(align.axis(axis).rel());
+            *extent.axis_mut(axis) = UiSpan::new(start, start + len);
+        }
+    }
+    (frame, extent)
+}
+
+/// The part of a widget's own box a `place` names, in the coordinates that
+/// box is in.
+fn part_of(extent: UiRegion, place: [Place; 2], align: RegionAlign) -> UiRegion {
+    let mut part = extent;
+    for axis in AXES {
+        *part.axis_mut(axis) = place[axis as usize]
+            .part()
+            .of(*extent.axis(axis), align.axis(axis));
+    }
+    part
 }

core/src/ui/place.rs

@@ -0,0 +1,74 @@
+use crate::{AxisAlign, Len, 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,
+    /// Window lengths from where the box starts, which is what a container
+    /// dividing room among its children speaks: a child's report is a window
+    /// length, so the cursor that sums those reports is one too. A moved box
+    /// re-places every child by re-adding its start, exactly. A fraction
+    /// here is a fraction of the window and not of the box -- the whole of a
+    /// box is [`Self::All`], not a `rel(1.0)` span.
+    From(UiSpan),
+    /// The box less a window length at each end, which is what a container
+    /// that insets one speaks -- padding, or a row asking a child in the
+    /// room left from its cursor. Neither end names the box's length, so a
+    /// container can say "from here to my end" without reading how long it
+    /// is, and a box chosen from its own answer does not feed back into the
+    /// answer.
+    Inset { lead: Len, trail: Len },
+    /// A box of this length, wherever in the parent's box the child's own
+    /// alignment puts it, and that same length as its frame. Unlike `From`,
+    /// it is a length decided from above rather than a place along a
+    /// container's cursor -- what a stack's sizing child decides for the
+    /// rest.
+    Sized(Len),
+}
+
+impl Part {
+    /// Where it lands in the coordinates `extent` is in.
+    pub(crate) fn of(self, extent: UiSpan, align: AxisAlign) -> UiSpan {
+        match self {
+            Self::All => extent,
+            Self::From(span) => UiSpan::new(extent.start + span.start, extent.start + span.end),
+            Self::Inset { lead, trail } => UiSpan::new(extent.start + lead, extent.end - trail),
+            Self::Sized(len) => {
+                let start = extent.start + (extent.len() - len).scale(align.rel());
+                UiSpan::new(start, start + len)
+            }
+        }
+    }
+}
+
+/// 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/arena.rs

@@ -35,7 +35,7 @@ impl<T, I: IdNum> Arena<T, I> {
         self.data[i]
     }
 
-    pub fn get_mut(&mut self, id: Id<I>) -> &mut T {
+    pub(crate) fn get_mut(&mut self, id: Id<I>) -> &mut T {
         &mut self.data[id.idx()]
     }
 }
@@ -75,6 +75,11 @@ impl<T, I: IdNum> TrackedArena<T, I> {
         self.refs[i.idx()] += 1;
     }
 
+    pub fn get_mut(&mut self, id: Id<I>) -> &mut T {
+        self.changed = true;
+        self.inner.get_mut(id)
+    }
+
     pub fn remove(&mut self, id: Id<I>) -> T
     where
         T: Copy,

core/src/util/math.rs

@@ -56,6 +56,34 @@ macro_rules! impl_op {
             }
         }
     };
+    // Without the `f32` operations, for a type whose fields are not all the
+    // same kind of number: there is nothing a bare float means to a fraction
+    // and an offset at once.
+    (same $T:ident $op:ident $fn:ident $opa:ident $fna:ident; $($field:ident)*) => {
+        #[allow(non_snake_case)]
+        mod ${concat($T, _op_, $fn, _same_impl)} {
+            use super::*;
+            #[allow(unused_imports)]
+            use std::ops::*;
+            const impl $op for $T {
+                type Output = Self;
+
+                fn $fn(self, rhs: Self) -> Self::Output {
+                    Self {
+                        $($field: self.$field.$fn(rhs.$field),)*
+                    }
+                }
+            }
+            const impl $opa for $T {
+                fn $fna(&mut self, rhs: Self) {
+                    *self = self.$fn(rhs);
+                }
+            }
+        }
+    };
+    (same $T:ident $op:ident $fn:ident; $($field:ident)*) => {
+        impl_op!(same $T $op $fn ${concat($op,Assign)} ${concat($fn,_assign)}; $($field)*);
+    };
     ($T:ident $op:ident $fn:ident; $($field:ident)*) => {
         impl_op!($T $op $fn ${concat($op,Assign)} ${concat($fn,_assign)}; $($field)*);
     };

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,

core/src/widget/data.rs

@@ -1,8 +1,11 @@
-use crate::Widget;
+use crate::{RegionAlign, SizeRules, Widget};
 
 pub struct WidgetData {
     pub widget: Box<dyn Widget>,
     pub label: String,
+    pub(super) region_node: bool,
+    pub(super) size: SizeRules,
+    pub(super) align: RegionAlign,
     /// dynamic borrow checking
     pub borrowed: bool,
 }
@@ -16,6 +19,9 @@ impl WidgetData {
         Self {
             widget: Box::new(widget),
             label,
+            region_node: false,
+            size: SizeRules::default(),
+            align: RegionAlign::default(),
             borrowed: false,
         }
     }

core/src/widget/mod.rs

@@ -1,9 +1,10 @@
-use crate::{Axis, Len, Painter, Size};
+use crate::{Axis, LayoutLen, Painter, Size};
 use std::any::Any;
 
 mod data;
 mod handle;
 mod like;
+mod size_rule;
 mod tag;
 mod view;
 mod widgets;
@@ -11,24 +12,11 @@ mod widgets;
 pub use data::*;
 pub use handle::*;
 pub use like::*;
+pub use size_rule::*;
 pub use tag::*;
 pub use view::*;
 pub use widgets::*;
 
-/// What may be done to a widget's drawing when the box it was given changes
-/// on this axis, instead of drawing it again. Asked per axis, because wrapped
-/// text reads the width it is offered and not the height.
-#[derive(Clone, Copy, Debug, Default, PartialEq, Eq)]
-pub enum OnResize {
-    Scale,
-    /// Reserved: nothing reads this yet, so a widget saying it is redrawn.
-    /// Keeping an unchanged drawing in a bigger box needs the widget to say
-    /// *where* in that box it should sit, which is the alignment work.
-    Translate,
-    #[default]
-    Redraw,
-}
-
 pub trait Widget: Any {
     /// Draws the widget, and returns what it used of the box it was given.
     fn draw(&mut self, painter: &mut Painter) -> Size;
@@ -36,13 +24,9 @@ pub trait Widget: Any {
     /// An exact length the widget can give without a painter or its children.
     /// Optional, and saves a draw rather than changing one: a hint that
     /// disagrees with the eventual draw fails a debug assertion.
-    fn size_hint(&self, _axis: Axis) -> Option<Len> {
+    fn size_hint(&self, _axis: Axis) -> Option<LayoutLen> {
         None
     }
-
-    fn on_resize(&self, _axis: Axis) -> OnResize {
-        OnResize::default()
-    }
 }
 
 impl Widget for () {
@@ -51,12 +35,8 @@ impl Widget for () {
         Size::default()
     }
 
-    fn size_hint(&self, _axis: Axis) -> Option<Len> {
-        Some(Len::default())
-    }
-
-    fn on_resize(&self, _axis: Axis) -> OnResize {
-        OnResize::Scale
+    fn size_hint(&self, _axis: Axis) -> Option<LayoutLen> {
+        Some(LayoutLen::default())
     }
 }
 

core/src/widget/size_rule.rs

@@ -0,0 +1,87 @@
+use crate::{Axis, LayoutLen, Weight};
+
+/// What a widget's length on one axis is, as a rule its parent applies where
+/// it draws it rather than an answer the widget gives about itself.
+///
+/// A rule and a drawn size are not two opinions to reconcile: a rule wins on
+/// the axis it names, and the `Size` returned by `draw` answers only the axes
+/// with no rule. That is what lets a span divide its space around a length
+/// nobody has drawn yet, and it is why a rule lives beside the widget rather
+/// than inside it -- the widget under the rule never has to know about it.
+#[derive(Debug, Clone, Copy, PartialEq, Default)]
+pub enum SizeRule {
+    /// Whatever the widget reports from drawing.
+    #[default]
+    Free,
+    /// This length, whatever the widget reports.
+    Exact(LayoutLen),
+}
+
+impl SizeRule {
+    /// The length this rule gives without the widget being drawn, if it can
+    /// give one. `leftover` is never among them: a share is a length only to
+    /// whoever divides one, so it passes up in the reported size instead and
+    /// is resolved there.
+    pub fn declared(&self) -> Option<LayoutLen> {
+        match self {
+            Self::Exact(len) if len.leftover == Weight::ZERO => Some(*len),
+            _ => None,
+        }
+    }
+
+    /// The length this rule gives outright, whatever the widget reports --
+    /// which makes the widget's answer on that axis moot. A share counts: it
+    /// is a length the widget's parent still has to divide, so it is exact
+    /// here and resolved there, unlike `declared`, which is only the ones
+    /// that give a box directly.
+    pub fn exact(&self) -> Option<LayoutLen> {
+        match self {
+            Self::Free => None,
+            Self::Exact(len) => Some(*len),
+        }
+    }
+
+    /// The length a widget reporting `reported` ends up with.
+    pub fn apply(&self, reported: LayoutLen) -> LayoutLen {
+        match self {
+            Self::Free => reported,
+            Self::Exact(len) => *len,
+        }
+    }
+}
+
+impl From<LayoutLen> for SizeRule {
+    fn from(len: LayoutLen) -> Self {
+        Self::Exact(len)
+    }
+}
+
+impl From<Option<LayoutLen>> for SizeRule {
+    fn from(len: Option<LayoutLen>) -> Self {
+        len.map_or(Self::Free, Self::Exact)
+    }
+}
+
+/// One rule per axis, which is how a widget carries a length on one axis and
+/// leaves the other to whatever it draws.
+#[derive(Debug, Clone, Copy, PartialEq, Default)]
+pub struct SizeRules {
+    pub x: SizeRule,
+    pub y: SizeRule,
+}
+
+impl SizeRules {
+    pub fn axis(&self, axis: Axis) -> SizeRule {
+        match axis {
+            Axis::X => self.x,
+            Axis::Y => self.y,
+        }
+    }
+
+    pub fn axis_mut(&mut self, axis: Axis) -> &mut SizeRule {
+        match axis {
+            Axis::X => &mut self.x,
+            Axis::Y => &mut self.y,
+        }
+    }
+}

core/src/widget/widgets.rs

@@ -1,7 +1,8 @@
 use std::sync::mpsc::{Receiver, Sender, channel};
 
 use crate::{
-    IdLike, StrongWidget, WeakWidget, Widget, WidgetData, WidgetId,
+    Axis, AxisAlign, IdLike, RegionAlign, SizeRule, SizeRules, StrongWidget, WeakWidget, Widget,
+    WidgetData, WidgetId,
     util::{DynBorrower, HashSet, SlotVec, forget_mut, to_mut},
 };
 
@@ -100,6 +101,71 @@ impl Widgets {
         self.data_mut(id.id()).unwrap().label = label;
     }
 
+    /// Whether this widget owns a movable retained region.
+    pub fn is_region_node(&self, id: impl IdLike) -> bool {
+        self.data(id).unwrap().region_node
+    }
+
+    /// Chooses whether this widget's retained drawing has one movable region
+    /// of its own. Changing the boundary redraws the subtree once so every
+    /// primitive names the right coordinate space.
+    pub fn set_region_node(&mut self, id: impl IdLike, region_node: bool) {
+        let id = id.id();
+        let data = self.data_mut(id).unwrap();
+        if data.region_node == region_node {
+            return;
+        }
+        data.region_node = region_node;
+        self.needs_redraw.insert(id);
+    }
+
+    /// The length rules whoever draws this widget applies to its box.
+    pub fn size_rules(&self, id: impl IdLike) -> SizeRules {
+        self.data(id).unwrap().size
+    }
+
+    /// Sets one axis's rule. The widget is marked rather than its parent
+    /// because the parent is not known here; `redraw` escalates a changed
+    /// declared length to whoever resolves it.
+    pub fn set_size_rule(&mut self, id: impl IdLike, axis: Axis, rule: SizeRule) {
+        let id = id.id();
+        let data = self.data_mut(id).unwrap();
+        if *data.size.axis_mut(axis) == rule {
+            return;
+        }
+        *data.size.axis_mut(axis) = rule;
+        self.needs_redraw.insert(id);
+    }
+
+    /// Where this widget sits in a box longer than the length it takes.
+    pub fn alignment(&self, id: impl IdLike) -> RegionAlign {
+        self.data(id).unwrap().align
+    }
+
+    /// Sets one axis's alignment. Which box a widget ends up in is its
+    /// parent's to decide, so this is escalated the way a length rule is.
+    pub fn set_alignment(&mut self, id: impl IdLike, axis: Axis, align: AxisAlign) {
+        let id = id.id();
+        let data = self.data_mut(id).unwrap();
+        if *data.align.axis_mut(axis) == align {
+            return;
+        }
+        *data.align.axis_mut(axis) = align;
+        self.needs_redraw.insert(id);
+    }
+
+    /// Both axes at once, for a caller holding a pair.
+    pub fn set_size_rules(
+        &mut self,
+        id: impl IdLike,
+        x: impl Into<SizeRule>,
+        y: impl Into<SizeRule>,
+    ) {
+        let id = id.id();
+        self.set_size_rule(id, Axis::X, x.into());
+        self.set_size_rule(id, Axis::Y, y.into());
+    }
+
     pub fn data_mut(&mut self, id: impl IdLike) -> Option<&mut WidgetData> {
         self.vec.get_mut(id.id())
     }

examples/tabs/main.rs

@@ -20,22 +20,26 @@ impl DefaultAppState for Client {
         let pad_test = (
             rrect.color(Color::BLUE),
             (
+                // The square is one widget and the two shares of the row it
+                // sits centred in are another: a length is a property of a
+                // widget, so `.width` here would overwrite the `.sized`.
                 rrect
                     .color(Color::RED)
                     .sized((100, 100))
                     .center()
-                    .width(rest(2)),
+                    .wrapper()
+                    .width(leftover(2)),
                 (
                     rrect.color(Color::ORANGE),
                     rrect.color(Color::LIME).pad(10.0),
                 )
                     .span(Dir::RIGHT)
-                    .width(rest(2)),
+                    .width(leftover(2)),
                 rrect.color(Color::YELLOW),
             )
                 .span(Dir::RIGHT)
                 .pad(10)
-                .width(rest(3)),
+                .width(leftover(3)),
         )
             .span(Dir::RIGHT)
             .add(rsc);
@@ -121,11 +125,11 @@ impl DefaultAppState for Client {
             .add(rsc);
 
         let text_edit_scroll = (
-            msg_area.height(rest(1)),
+            msg_area.height(leftover(1)),
             (
                 Rect::new(Color::WHITE.darker(0.9)),
                 (
-                    add_text.width(rest(1)),
+                    add_text.width(leftover(1)),
                     Rect::new(Color::GREEN)
                         .on(CursorSense::click(), move |ctx, rsc: &mut ClientRsc| {
                             rsc.run_event::<Submit>(add_text, (), ctx.state);
@@ -143,7 +147,7 @@ impl DefaultAppState for Client {
             .span(Dir::DOWN)
             .add(rsc);
 
-        let main = WidgetPtr::new().add(rsc);
+        let main = Wrapper::new().add(rsc);
 
         let vals = Rc::new(RefCell::new((0, Vec::new())));
         let mut switch_button = |color, to: WeakWidget, label| {

examples/text.rs

@@ -28,10 +28,14 @@ impl DefaultAppState for State {
             .pad(16)
             .background(panel());
 
+        // Each one takes the whole width, because `text_align` puts the
+        // glyphs somewhere in the box the text is given and a text that
+        // reports the width of its own glyphs is given exactly that.
+        let label = |text: &str, align| wtext(text).size(24).text_align(align).width(rel(1.0));
         let aligned = (
-            wtext("left").size(24).text_align(Align::LEFT),
-            wtext("centred").size(24).text_align(Align::CENTER),
-            wtext("right").size(24).text_align(Align::RIGHT),
+            label("left", Align::LEFT),
+            label("centred", Align::H_CENTER),
+            label("right", Align::RIGHT),
         )
             .span(Dir::DOWN)
             .gap(8)

src/default/attr.rs

@@ -15,8 +15,10 @@ where
             let region = ctx.data.render.window_region(&id).unwrap();
             let id_pos = region.top_left;
             let container_pos = ctx.data.render.window_region(&container).unwrap().top_left;
-            let pos = ctx.data.pos + container_pos - id_pos;
-            let size = region.size();
+            // The pointer arrives from the platform in floats; everything
+            // it is compared against is on the grid.
+            let pos = (PxVec2::from_f32(ctx.data.pos) + container_pos - id_pos).to_f32();
+            let size = region.size().to_f32();
             select(
                 rsc,
                 ctx.data.render,
@@ -70,8 +72,8 @@ fn select(
     if let Some(region) = render.window_region(&id) {
         state.window.set_ime_allowed(true);
         state.window.set_ime_cursor_area(
-            LogicalPosition::<f32>::from(region.top_left.tuple()),
-            LogicalSize::<f32>::from(region.size().tuple()),
+            LogicalPosition::<f32>::from(region.top_left.to_f32().tuple()),
+            LogicalSize::<f32>::from(region.size().to_f32().tuple()),
         );
     }
     state.focus = Some(id);

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/default/sense.rs

@@ -198,7 +198,7 @@ impl SensorUi for UiRenderState {
                 let Some(region) = region_of(id) else {
                     continue;
                 };
-                if !cursor.exists || !region.contains(cursor.pos) {
+                if !cursor.exists || !region.contains(PxVec2::from_f32(cursor.pos)) {
                     continue;
                 }
                 hovered.now.push(id);
@@ -249,8 +249,8 @@ fn deliver<Rsc: HasEvents>(
     region: PixelRegion,
 ) -> bool {
     let data = CursorData {
-        pos: cursor.pos - region.top_left,
-        size: region.bot_right - region.top_left,
+        pos: cursor.pos - region.top_left.to_f32(),
+        size: region.size().to_f32(),
         scroll_delta: cursor.scroll_delta,
         hover,
         cursor: cursor.clone(),

src/harness.rs

@@ -29,8 +29,14 @@ macro_rules! assert_corners {
         assert_eq!(
             $harness.region(&$id).expect("widget drew nothing"),
             $crate::core::PixelRegion {
-                top_left: $crate::core::util::Vec2::new($x0 as f32, $y0 as f32),
-                bot_right: $crate::core::util::Vec2::new($x1 as f32, $y1 as f32),
+                top_left: $crate::core::PxVec2::new(
+                    $crate::core::Px::from_f32($x0 as f32),
+                    $crate::core::Px::from_f32($y0 as f32),
+                ),
+                bot_right: $crate::core::PxVec2::new(
+                    $crate::core::Px::from_f32($x1 as f32),
+                    $crate::core::Px::from_f32($y1 as f32),
+                ),
             }
         );
     };
@@ -138,9 +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,
@@ -151,11 +157,18 @@ impl Harness {
     }
 
     pub fn size(&self) -> Vec2 {
-        self.render.output_size()
+        self.render.output_size().to_f32()
     }
 
     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.
+    pub fn set_len(&mut self, id: impl IdLike, axis: Axis, len: impl Into<LayoutLen>) {
+        self.rsc
+            .widgets_mut()
+            .set_size_rule(id, axis, SizeRule::Exact(len.into()));
     }
 
     /// Sets the root and lays it out, so a pointer event has something to hit.

src/widget/image.rs

@@ -11,12 +11,8 @@ impl Widget for Image {
         Size::px(self.handle.size())
     }
 
-    fn size_hint(&self, axis: Axis) -> Option<Len> {
-        Some(Len::px(self.handle.size().axis(axis)))
-    }
-
-    fn on_resize(&self, _: Axis) -> OnResize {
-        OnResize::Scale
+    fn size_hint(&self, axis: Axis) -> Option<LayoutLen> {
+        Some(LayoutLen::px(self.handle.size().axis(axis)))
     }
 }
 

src/widget/mask.rs

@@ -6,12 +6,17 @@ pub struct Masked {
 
 impl Widget for Masked {
     fn draw(&mut self, painter: &mut Painter) -> Size {
-        painter.set_mask(painter.region());
-        painter.widget(&self.inner).size()
+        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
+        // neither take less of one nor honestly ask for more. Passing the
+        // inner size up instead asks to be placed at a length it does not
+        // draw, and the framework would place the drawing it clipped away.
+        Size::LEFTOVER
     }
 
-    /// It clips to the box it was given, not to the part its child used.
-    fn on_resize(&self, _: Axis) -> OnResize {
-        OnResize::Redraw
+    fn size_hint(&self, _: Axis) -> Option<LayoutLen> {
+        Some(LayoutLen::LEFTOVER)
     }
 }

src/widget/mod.rs

@@ -1,15 +1,15 @@
 mod image;
 mod mask;
 mod position;
-mod ptr;
 mod rect;
 mod text;
 mod trait_fns;
+mod wrapper;
 
 pub use image::*;
 pub use mask::*;
 pub use position::*;
-pub use ptr::*;
 pub use rect::*;
 pub use text::*;
 pub use trait_fns::*;
+pub use wrapper::*;

src/widget/position/align.rs

@@ -1,42 +0,0 @@
-use crate::prelude::*;
-
-pub struct Aligned {
-    pub inner: StrongWidget,
-    pub align: Align,
-}
-
-impl Widget for Aligned {
-    fn draw(&mut self, painter: &mut Painter) -> Size {
-        let known = match self.align.tuple() {
-            (Some(_), Some(_)) => painter
-                .known_len(&self.inner, Axis::X, UiRegion::FULL)
-                .zip(painter.known_len(&self.inner, Axis::Y, UiRegion::FULL))
-                .map(|(x, y)| Size { x, y }),
-            (Some(_), None) => painter
-                .known_len(&self.inner, Axis::X, UiRegion::FULL)
-                .map(|x| Size { x, y: Len::REST }),
-            (None, Some(_)) => painter
-                .known_len(&self.inner, Axis::Y, UiRegion::FULL)
-                .map(|y| Size { x: Len::REST, y }),
-            (None, None) => Some(Size::REST),
-        };
-        // Drawn where it may be too big only when the aligned axes are not
-        // already known, then given its aligned box once its size is known.
-        let had_size = known.is_some();
-        let size = known.unwrap_or_else(|| painter.place(&self.inner, UiRegion::FULL).size());
-        let region = match self.align.tuple() {
-            (Some(x), Some(y)) => size.to_uivec2().align(RegionAlign { x, y }),
-            (Some(x), None) => UiRegion::new(size.x.apply_rest().align(x), UiSpan::FULL),
-            (None, Some(y)) => UiRegion::new(UiSpan::FULL, size.y.apply_rest().align(y)),
-            (None, None) => UiRegion::FULL,
-        };
-        let placed = painter.place(&self.inner, region).size();
-        if had_size { placed } else { size }
-    }
-
-    /// The aligned box is a fraction of its own, so the child keeps its
-    /// length and stays against the edge it was aligned to.
-    fn on_resize(&self, _: Axis) -> OnResize {
-        OnResize::Scale
-    }
-}

src/widget/position/layer.rs

@@ -12,8 +12,4 @@ impl Widget for LayerOffset {
         }
         painter.widget(&self.inner).size()
     }
-
-    fn on_resize(&self, _: Axis) -> OnResize {
-        OnResize::Scale
-    }
 }

src/widget/position/max_size.rs

@@ -1,25 +0,0 @@
-use crate::prelude::*;
-
-pub struct MaxSize {
-    pub inner: StrongWidget,
-    pub x: Option<Len>,
-    pub y: Option<Len>,
-}
-
-impl Widget for MaxSize {
-    fn draw(&mut self, painter: &mut Painter) -> Size {
-        let child = painter.widget(&self.inner).size();
-        let output = painter.output_size();
-        Size {
-            x: capped(child.x, self.x, output.x),
-            y: capped(child.y, self.y, output.y),
-        }
-    }
-}
-
-fn capped(len: Len, max: Option<Len>, output: f32) -> Len {
-    match max {
-        Some(max) if len.apply_rest().to_px(output) > max.apply_rest().to_px(output) => max,
-        _ => len,
-    }
-}

src/widget/position/mod.rs

@@ -1,19 +1,13 @@
-mod align;
 mod layer;
-mod max_size;
 mod offset;
 mod pad;
 mod scroll;
-mod set_size;
 mod span;
 mod stack;
 
-pub use align::*;
 pub use layer::*;
-pub use max_size::*;
 pub use offset::*;
 pub use pad::*;
 pub use scroll::*;
-pub use set_size::*;
 pub use span::*;
 pub use stack::*;

src/widget/position/offset.rs

@@ -7,11 +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()
-    }
-
-    fn on_resize(&self, _: Axis) -> OnResize {
-        OnResize::Scale
+        // 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, [None; 2], place).size()
     }
 }

src/widget/position/pad.rs

@@ -7,45 +7,68 @@ pub struct Pad {
 
 impl Widget for Pad {
     fn draw(&mut self, painter: &mut Painter) -> Size {
-        let inner = painter
-            .widget_within(&self.inner, self.padding.region())
-            .size();
+        // The inner's own alignment, not the near edge. This reports the
+        // inner's size plus the padding, so where the box is that answer the
+        // inset box is exactly the inner and alignment has no room to move
+        // 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.
+        //
+        // Padding is an inset of both: it comes off the frame, so `rel(1)`
+        // under it fills this widget rather than overflowing it by the
+        // padding, and it comes off the box, so what is drawn sits inside.
+        // The two stay distinct -- the box can be narrower still, where a row
+        // asked this widget in the room left, and a text wraps at that.
+        let inset = |lead: Px, trail: Px| {
+            Place::Within(Part::Inset {
+                lead: Len::from_parts(Rel::ZERO, lead),
+                trail: Len::from_parts(Rel::ZERO, trail),
+            })
+        };
+        let place = [
+            inset(self.padding.left, self.padding.right),
+            inset(self.padding.top, self.padding.bottom),
+        ];
+        // Read from this widget's own frame rather than written as a
+        // fraction of it: a frame is a length of the window like everything
+        // else here, and taking the padding off is the whole of what this
+        // widget does to it.
+        let narrow = [
+            (Axis::X, self.padding.left + self.padding.right),
+            (Axis::Y, self.padding.top + self.padding.bottom),
+        ]
+        .map(|(axis, pixels)| Some(painter.frame_len(axis) - Len::from_parts(Rel::ZERO, pixels)));
+        let inner = painter.widget_at(&self.inner, narrow, place).size();
         Size {
-            x: Len {
+            x: LayoutLen {
                 px: inner.x.px + self.padding.left + self.padding.right,
                 ..inner.x
             },
-            y: Len {
+            y: LayoutLen {
                 px: inner.y.px + self.padding.top + self.padding.bottom,
                 ..inner.y
             },
         }
     }
-
-    /// The padding is an offset from each edge, so a longer box pads the same
-    /// amount and the child takes the rest.
-    fn on_resize(&self, _: Axis) -> OnResize {
-        OnResize::Scale
-    }
 }
 
 pub struct Padding {
-    pub left: f32,
-    pub right: f32,
-    pub top: f32,
-    pub bottom: f32,
+    pub left: Px,
+    pub right: Px,
+    pub top: Px,
+    pub bottom: Px,
 }
 
 impl Padding {
     pub const ZERO: Self = Self {
-        left: 0.0,
-        right: 0.0,
-        top: 0.0,
-        bottom: 0.0,
+        left: Px::ZERO,
+        right: Px::ZERO,
+        top: Px::ZERO,
+        bottom: Px::ZERO,
     };
 
     pub fn uniform(amt: impl UiNum) -> Self {
-        let amt = amt.to_f32();
+        let amt = Px::from_num(amt);
         Self {
             left: amt,
             right: amt,
@@ -53,80 +76,82 @@ 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 = amt.to_f32();
+        let amt = Px::from_num(amt);
         Self {
             left: amt,
             right: amt,
-            top: 0.0,
-            bottom: 0.0,
+            ..Self::ZERO
         }
     }
     pub fn y(amt: impl UiNum) -> Self {
-        let amt = amt.to_f32();
+        let amt = Px::from_num(amt);
         Self {
-            left: 0.0,
-            right: 0.0,
             top: amt,
             bottom: amt,
+            ..Self::ZERO
         }
     }
 
     pub fn top(amt: impl UiNum) -> Self {
         let mut s = Self::ZERO;
-        s.top = amt.to_f32();
+        s.top = Px::from_num(amt);
         s
     }
 
     pub fn bottom(amt: impl UiNum) -> Self {
         let mut s = Self::ZERO;
-        s.bottom = amt.to_f32();
+        s.bottom = Px::from_num(amt);
         s
     }
 
     pub fn left(amt: impl UiNum) -> Self {
         let mut s = Self::ZERO;
-        s.left = amt.to_f32();
+        s.left = Px::from_num(amt);
         s
     }
 
     pub fn right(amt: impl UiNum) -> Self {
         let mut s = Self::ZERO;
-        s.right = amt.to_f32();
+        s.right = Px::from_num(amt);
         s
     }
 
     pub fn with_top(mut self, amt: impl UiNum) -> Self {
-        self.top = amt.to_f32();
+        self.top = Px::from_num(amt);
         self
     }
 
     pub fn with_bottom(mut self, amt: impl UiNum) -> Self {
-        self.bottom = amt.to_f32();
+        self.bottom = Px::from_num(amt);
         self
     }
 
     pub fn with_left(mut self, amt: impl UiNum) -> Self {
-        self.left = amt.to_f32();
+        self.left = Px::from_num(amt);
         self
     }
 
     pub fn with_right(mut self, amt: impl UiNum) -> Self {
-        self.right = amt.to_f32();
+        self.right = Px::from_num(amt);
         self
     }
 }
 
 impl<T: UiNum> From<T> for Padding {
     fn from(amt: T) -> Self {
-        Self::uniform(amt.to_f32())
+        Self::uniform(amt)
     }
 }

src/widget/position/scroll.rs

@@ -3,39 +3,78 @@ use crate::prelude::*;
 pub struct Scroll {
     inner: StrongWidget,
     axis: Axis,
-    amt: f32,
+    amt: Px,
     snap_end: bool,
-    container_len: f32,
-    content_len: f32,
+    container_len: Px,
+    content_len: Px,
 }
 
 impl Widget for Scroll {
     fn draw(&mut self, painter: &mut Painter) -> Size {
-        let output_len = painter.output_len(self.axis);
-        // Its size is its content's, whatever box that is scrolled within.
-        let container_len = UiScalar::px(painter.px_len_for_draw(self.axis));
-        // Draw in the whole container only when its scrolling-axis length is
-        // not already known, then place it at the scrolled offset.
-        let known_len = painter.known_len(&self.inner, self.axis, UiRegion::FULL);
-        let measured = known_len.is_none();
-        let child = measured.then(|| painter.place(&self.inner, UiRegion::FULL).size());
-        let content_len = known_len
-            .unwrap_or_else(|| child.unwrap().axis(self.axis))
-            .apply_rest()
-            .within_len(container_len)
-            .to_px(output_len);
-        self.container_len = container_len.to_px(output_len);
-        self.content_len = content_len;
+        let container_len = painter.px_len(self.axis);
+        // Asked in the whole viewport, then put at the scrolled offset.
+        let answer_len = painter
+            .widget_at(&self.inner, [None; 2], [Place::Fill(Part::All); 2])
+            .len(self.axis);
+        let fixed = painter.to_px(Len::from_parts(answer_len.rel, answer_len.px), self.axis);
+        self.container_len = container_len;
+        self.content_len = fixed.max(container_len);
 
         if self.snap_end {
             self.amt = self.content_len - self.container_len;
         }
         self.update_amt();
+        let align = painter.alignment().axis(self.axis);
+        // Content of a fixed length that fits sits at the start of any box it
+        // fits in -- but only anchored there. Anywhere else it is a part of
+        // the room left over, so it moves with every length the box takes and
+        // the drawing holds for that length alone. One scrolled part way sits
+        // where it is until the box shrinks past what is left of it. Kept to
+        // the end, it moves with every length.
+        let fixed_len = answer_len.rel == Rel::ZERO && answer_len.leftover == Weight::ZERO;
+        if fixed_len && self.content_len <= self.container_len && align == AxisAlign::NEG {
+            painter.holds(self.axis, fixed..=Px::MAX);
+        } else if fixed_len && !self.snap_end {
+            let left = self.content_len - self.amt;
+            painter.holds(self.axis, Px::MIN..=left);
+        }
 
-        let mut region = UiRegion::FULL.offset(Vec2::from_axis(self.axis, -self.amt, 0.0));
-        region.axis_mut(self.axis).end = region.axis(self.axis).start.offset(self.content_len);
-        let placed = painter.place(&self.inner, region).size();
-        child.unwrap_or(placed)
+        // Content shorter than the viewport has room to sit in, and where it
+        // sits is this widget's own alignment -- the same property that would
+        // 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());
+        // 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
+        // two do not round alike: a part centred in `rel 1` lands a step from
+        // one centred in `px 900`, since halving a difference is not halving
+        // each part of it.
+        let moved = anchor != Px::ZERO || self.amt != Px::ZERO;
+        let content = match moved || self.content_len != self.container_len {
+            true => {
+                let start = Len::from_parts(Rel::ZERO, anchor - self.amt);
+                Part::From(UiSpan::new(start, start.offset(self.content_len)))
+            }
+            false => Part::All,
+        };
+        // 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 goes is the content
+        // box, scrolled: its drawing moved there, not made again there.
+        painter.place_at(
+            &self.inner,
+            self.axis.pair(Place::Fill(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
+        // is.
+        Size::LEFTOVER
+    }
+
+    fn size_hint(&self, _: Axis) -> Option<LayoutLen> {
+        Some(LayoutLen::LEFTOVER)
     }
 }
 
@@ -44,22 +83,24 @@ impl Scroll {
         Self {
             inner,
             axis,
-            amt: 0.0,
+            amt: Px::ZERO,
             snap_end: true,
-            container_len: 0.0,
-            content_len: 0.0,
+            container_len: Px::ZERO,
+            content_len: Px::ZERO,
         }
     }
 
     pub fn update_amt(&mut self) {
-        self.amt = self.amt.max(0.0);
-        let len = (self.content_len - self.container_len).max(0.0);
+        self.amt = self.amt.max(Px::ZERO);
+        let len = (self.content_len - self.container_len).max(Px::ZERO);
         self.amt = self.amt.min(len);
         self.snap_end = self.amt == len;
     }
 
+    /// Scrolled by a distance the platform measures, which is the last place
+    /// a wheel notch or a finger is a float.
     pub fn scroll(&mut self, amt: f32) {
-        self.amt -= amt;
+        self.amt -= Px::from_f32(amt);
         self.update_amt();
     }
 }

src/widget/position/set_size.rs

@@ -1,34 +0,0 @@
-use crate::prelude::*;
-
-pub struct SetSize {
-    pub inner: StrongWidget,
-    pub x: Option<Len>,
-    pub y: Option<Len>,
-}
-
-impl Widget for SetSize {
-    fn draw(&mut self, painter: &mut Painter) -> Size {
-        // Nothing to apply: a declared length is taken where this widget is
-        // drawn, so the box it has already is that length, and `rest` is a
-        // share only whoever divides a length can work out. Both reach them
-        // through `size_hint`.
-        let child = painter.widget(&self.inner).size();
-        Size {
-            x: self.x.unwrap_or(child.x),
-            y: self.y.unwrap_or(child.y),
-        }
-    }
-
-    /// A declared axis is known without looking at the child, which is what
-    /// lets a span lay out around `.height(rest(1))` without drawing it.
-    fn size_hint(&self, axis: Axis) -> Option<Len> {
-        match axis {
-            Axis::X => self.x,
-            Axis::Y => self.y,
-        }
-    }
-
-    fn on_resize(&self, _: Axis) -> OnResize {
-        OnResize::Scale
-    }
-}

src/widget/position/span.rs

@@ -4,78 +4,204 @@ use std::marker::PhantomData;
 pub struct Span {
     pub children: Vec<StrongWidget>,
     pub dir: Dir,
-    pub gap: f32,
+    pub gap: Px,
 }
 
 impl Widget for Span {
     fn draw(&mut self, painter: &mut Painter) -> Size {
         let axis = self.dir.axis;
-        // A length for every child before any is placed: from its own hint
-        // where it has one, and from drawing it where it does not.
-        let mut cursor = UiScalar::rel_min();
+        // The room left from the cursor to the row's end, said without the
+        // row's length: a child measured in it does not make this drawing
+        // depend on how long the row is.
+        let room_from = |cursor: Len| match self.dir.sign {
+            Sign::Pos => Part::Inset {
+                lead: cursor,
+                trail: Len::ZERO,
+            },
+            Sign::Neg => Part::Inset {
+                lead: Len::ZERO,
+                trail: cursor,
+            },
+        };
+        // 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: from
+        // a hint where one says, and from drawing otherwise. 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 a drawn child is asked in is the room left from the
+        // cursor, because a text has to wrap at the width actually there.
+        // This is the one ask a drawn fixed child gets: its slot is its
+        // answer, and the drawing is moved there once the shares are known.
+        // A hinted child is asked once, in its slot.
+        let mut cursor = Len::rel_min();
         let mut lens = Vec::with_capacity(self.children.len());
+        let mut measured = Vec::with_capacity(self.children.len());
         for child in &self.children {
-            let mut span = UiSpan::new(cursor, UiScalar::rel_max());
-            if self.dir.sign == Sign::Neg {
-                span.flip();
-            }
-            let region = UiRegion::from_axis(axis, span, UiSpan::FULL);
-            let len = match painter.known_len(child, axis, region) {
-                Some(len) => len,
-                None => painter.place(child, region).len(axis),
+            let size = match painter.size_hint(child, axis) {
+                Some(len) => {
+                    measured.push(None);
+                    len
+                }
+                None => {
+                    let room = Place::Within(room_from(cursor));
+                    let size = painter
+                        .widget_at(child, [None; 2], axis.pair(room, across))
+                        .size();
+                    measured.push(Some(size));
+                    size.axis(axis)
+                }
             };
+            let len = size;
             cursor.px += len.px + self.gap;
             cursor.rel += len.rel;
             lens.push(len);
         }
 
-        let gap = self.gap * self.children.len().saturating_sub(1) as f32;
-        let total = lens.iter().fold(Len::px(gap), |sum, len| sum + *len);
+        let gaps = self
+            .gap
+            .mul_int(self.children.len().saturating_sub(1) as i32);
+        let total = lens.iter().fold(
+            LayoutLen {
+                px: gaps,
+                ..LayoutLen::ZERO
+            },
+            |sum, len| sum + *len,
+        );
 
-        let mut start = UiScalar::rel_min();
-        let mut ortho = Len::ZERO;
-        for (child, len) in self.children.iter().zip(&lens) {
-            let mut span = UiSpan::FULL;
-            span.start = start;
-            if len.rest > 0.0 {
-                let offset = UiScalar::new(total.rel, total.px);
-                let rel_end = UiScalar::rel(len.rest / total.rest);
-                let end = (UiScalar::rel_max() + start) - offset;
-                start = rel_end.within(&start.to(end));
+        // The row: this span's own box as a length of the window, read only
+        // where a slot depends on it -- shares divide what is left of it,
+        // and a negative row counts from its end. Reading it pins the
+        // drawing to this length; a positive row of fixed children is not
+        // pinned and holds for any length its children do. Its start is
+        // nothing's business: a slot is a length from it.
+        let far = (total.leftover > Weight::ZERO || self.dir.sign == Sign::Neg)
+            .then(|| painter.extent_len(axis));
+        let along = |from: Len, to: Len| match self.dir.sign {
+            Sign::Pos => UiSpan::new(from, to),
+            Sign::Neg => {
+                let far = far.expect("a negative row reads its length");
+                UiSpan::new(far - to, far - from)
             }
-            start.px += len.px;
-            start.rel += len.rel;
-            span.end = start;
-            let mut region = UiRegion::from_axis(axis, span, UiSpan::FULL);
-            if self.dir.sign == Sign::Neg {
-                region.flip(axis);
+        };
+        // 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.
+        // Nothing where there are no shares, and nothing reads it there.
+        let room = far.map_or(Len::ZERO, |far| 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. 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 {
+            shares = painter.to_px(room, axis) > Px::ZERO;
+            let holds = match shares {
+                true => Holds::from(Px::STEP..=Px::MAX),
+                false => Holds::from(Px::MIN..=Px::ZERO),
+            };
+            painter.window_holds(axis, holds.through(room));
+        }
+
+        // Across itself a span is as long as its longest child -- unless a
+        // rule beside it gives that length outright, and then reading them
+        // answers nothing and makes its size depend on theirs for it. A rule
+        // that only bounds the length does not count: the answer is still
+        // this span's to give.
+        let shrinks = !painter.has_exact_size(!axis);
+        // What the fixed parts and the gaps before here take, which is a sum
+        // of lengths and exact, and how much of the leftover weight is
+        // spoken for. A position is one from the other rather than a step
+        // from the last child: the share of the room is rounded, and taking
+        // each from the one before it would carry every rounding along the
+        // row.
+        let mut fixed = Len::rel_min();
+        let mut taken = Weight::ZERO;
+        let mut start = Len::rel_min();
+        let mut ortho = LayoutLen::ZERO;
+        for ((child, len), measured) in self.children.iter().zip(&lens).zip(&measured) {
+            let len = *len;
+            // A child asking for nothing but a part of what is left over,
+            // when nothing is, is not drawn at all. One that also asked for
+            // pixels or a fraction keeps those and overflows.
+            if len.leftover > Weight::ZERO && len.px == Px::ZERO && len.rel == Rel::ZERO && !shares
+            {
+                painter.undraw(child);
+                fixed.px += self.gap;
+                continue;
             }
-            let used = painter.place(child, region).size().axis(!axis);
-            // TODO: rel shouldn't do this, but no easy way before actually calculating pixels
-            if used.rel > 0.0 || used.rest > 0.0 {
-                ortho = Len::REST;
-            } else if ortho.rest == 0.0 {
-                ortho.px = ortho.px.max(used.px);
+            let from = start;
+            if len.leftover > Weight::ZERO && shares {
+                taken += len.leftover;
             }
-            start.px += self.gap;
+            fixed.px += len.px;
+            fixed.rel += len.rel;
+            start = shared(fixed, taken, total.leftover, room);
+            // Along the row the span says where the child goes, and that slot
+            // is the child's box outright rather than something to place an
+            // answer inside again. A share is decided here and nowhere
+            // else: its slot narrows its frame, and the child is asked in
+            // it, since a text wraps at the width it is actually given. A
+            // fixed child's slot is its own answer, so a drawing made in the
+            // room is put there as it is, and one not made yet is made here.
+            let slot = along(from, start);
+            let place = axis.pair(Place::Fill(Part::From(slot)), across);
+            let mut narrow = [None; 2];
+            if len.leftover > Weight::ZERO && shares {
+                narrow[axis as usize] = Some(slot.len());
+            }
+            let used = match (measured, narrow[axis as usize]) {
+                (Some(size), None) => {
+                    painter.place_at(child, place);
+                    size.axis(!axis)
+                }
+                _ => painter.widget_at(child, narrow, place).len(!axis),
+            };
+            if shrinks {
+                // Choosing between a fixed and a relative length from the
+                // span's own eventual width admits multiple fixed points.
+                // A scalable child therefore makes Children scalable too;
+                // only fixed children are compared with one another.
+                if used.rel != Rel::ZERO || used.leftover != Weight::ZERO {
+                    ortho = LayoutLen::LEFTOVER;
+                } else if ortho.leftover == Weight::ZERO {
+                    ortho.px = ortho.px.max(used.px);
+                }
+            }
+            fixed.px += self.gap;
+            start = shared(fixed, taken, total.leftover, room);
         }
 
         // Carried whole rather than collapsed to one share: a span that sizes
-        // from its children does not resolve `rest`, it passes the weight up,
+        // from its children does not resolve `leftover`, it passes the weight up,
         // so nesting spans divides the same space rather than re-dividing a
-        // share of it. Four `rest(1)` children under two spans under one span
-        // get a quarter each, which collapsing to `rest(1)` per level does
+        // share of it. Four `leftover(1)` children under two spans under one span
+        // get a quarter each, which collapsing to `leftover(1)` per level does
         // not give. Resolution happens at the nearest ancestor with a length,
         // and the root always has one.
         let along = total;
+        let ortho = match shrinks {
+            true => ortho,
+            false => LayoutLen::rel(1.0),
+        };
         Size::from_axis(axis, along, ortho)
     }
+}
 
-    /// Every child is placed in fractions and offsets of the span's own box,
-    /// so a longer box holds the same layout and the children follow it.
-    fn on_resize(&self, _: Axis) -> OnResize {
-        OnResize::Scale
+/// Where a row has reached: everything fixed before this point, which is a
+/// sum and exact, plus the share of the room the weights so far are worth,
+/// which is one rounding wherever it is asked for.
+fn shared(fixed: Len, taken: Weight, weight: Weight, room: Len) -> Len {
+    if taken == Weight::ZERO {
+        return fixed;
     }
+    fixed + room.scale(Rel::ratio(taken, weight))
 }
 
 impl Span {
@@ -83,12 +209,12 @@ impl Span {
         Self {
             children: Vec::new(),
             dir,
-            gap: 0.0,
+            gap: Px::ZERO,
         }
     }
 
     pub fn gap(mut self, gap: impl UiNum) -> Self {
-        self.gap = gap.to_f32();
+        self.gap = Px::from_num(gap);
         self
     }
 
@@ -104,7 +230,7 @@ impl Span {
 pub struct SpanBuilder<State, const LEN: usize, Wa: WidgetArrLike<State, LEN, Tag>, Tag> {
     pub children: Wa,
     pub dir: Dir,
-    pub gap: f32,
+    pub gap: Px,
     _pd: PhantomData<(State, Tag)>,
 }
 
@@ -130,13 +256,13 @@ impl<State, const LEN: usize, Wa: WidgetArrLike<State, LEN, Tag>, Tag>
         Self {
             children,
             dir,
-            gap: 0.0,
+            gap: Px::ZERO,
             _pd: PhantomData,
         }
     }
 
     pub fn gap(mut self, gap: impl UiNum) -> Self {
-        self.gap = gap.to_f32();
+        self.gap = Px::from_num(gap);
         self
     }
 }

src/widget/position/stack.rs

@@ -13,24 +13,50 @@ impl Widget for Stack {
             StackSize::Default => None,
             StackSize::Child(i) => Some(i),
         };
-        let mut size = Size::default();
+        // 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_at(child, [None; 2], [Place::Fill(Part::All); 2])
+                    .size()
+            }
+            None => Size::LEFTOVER,
+        };
+        // Every other child gets the box the sizing child decided: the
+        // stack is that length, so that is the box they are asked in, and a
+        // fraction under them is a fraction of it. A share leaves the axis
+        // to whoever gave the stack its box. Where a child sits in a box
+        // bigger than itself is its own business.
+        let place = [Axis::X, Axis::Y].map(|axis| {
+            let len = size.axis(axis);
+            match len.leftover == Weight::ZERO {
+                true => Place::Fill(Part::Sized(Len::from_parts(len.rel, len.px))),
+                false => Place::Within(Part::All),
+            }
+        });
         for (i, child) in self.children.iter().enumerate() {
-            match i {
-                0 => painter.child_layer(),
-                _ => painter.next_layer(),
-            }
-            let drawn = painter.widget(child);
-            // Only the child that sizes the stack is read, so the others
-            // changing size does not redraw it.
             if sizing == Some(i) {
-                size = drawn.size();
+                continue;
             }
+            painter.child_layer_at(i);
+            painter.widget_at(child, [None; 2], place);
         }
         size
     }
 
-    fn on_resize(&self, _: Axis) -> OnResize {
-        OnResize::Scale
+    /// Without a sizing child a stack is whatever box it is given, which it
+    /// can say without drawing anything.
+    fn size_hint(&self, _: Axis) -> Option<LayoutLen> {
+        match self.size {
+            StackSize::Default => Some(LayoutLen::LEFTOVER),
+            StackSize::Child(_) => None,
+        }
     }
 }
 

src/widget/rect.rs

@@ -35,16 +35,11 @@ impl Widget for Rect {
             thickness: self.thickness,
             inner_radius: self.inner_radius,
         });
-        Size::REST
+        Size::LEFTOVER
     }
 
-    fn size_hint(&self, _: Axis) -> Option<Len> {
-        Some(Len::REST)
-    }
-
-    /// Its box is its primitive's own region, so a new one is written there.
-    fn on_resize(&self, _: Axis) -> OnResize {
-        OnResize::Scale
+    fn size_hint(&self, _: Axis) -> Option<LayoutLen> {
+        Some(LayoutLen::LEFTOVER)
     }
 }
 

src/widget/text/edit.rs

@@ -93,10 +93,6 @@ impl Widget for TextEdit {
         );
         size
     }
-
-    fn on_resize(&self, axis: Axis) -> OnResize {
-        self.view.on_resize(axis)
-    }
 }
 
 const CARET_WIDTH: f32 = 1.0;
@@ -280,7 +276,13 @@ impl<'a> TextEditCtx<'a> {
     }
 
     pub fn select(&mut self, pos: Vec2, size: Vec2, drag: bool, recent: bool) {
-        let pos = pos - self.text.region().top_left().to_px(size);
+        let pos = pos
+            - self
+                .text
+                .region()
+                .top_left()
+                .to_px(PxVec2::from_f32(size))
+                .to_f32();
         let prev_sel = self.text.selection;
         let prev_hit = self.text.double_hit;
 

src/widget/text/mod.rs

@@ -47,12 +47,14 @@ impl TextView {
     /// answers under the attrs too, so changing those asks a new question
     /// rather than invalidating anything.
     fn render(&mut self, painter: &mut Painter) -> &RenderedText {
-        let width = if self.attrs.wrap {
-            Some(painter.px_len(Axis::X))
-        } else {
-            None
-        };
-        painter.render_text(&mut self.buf, &self.attrs, width)
+        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.
+        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());
+        }
+        self.buf.rendered().expect("render_text placed the glyphs")
     }
 
     pub fn tex(&self) -> Option<&RenderedText> {
@@ -72,28 +74,16 @@ impl TextView {
 
         let tex = self.render(painter);
         let region = tex.size.align(align);
-        let size = Size::px(tex.size);
-        let within = region.within(&painter.region());
-        painter.glyphs(tex, within);
+        // The step at or above what the shaper measured, so a parent that
+        // hands back the length this reports hands back a box the longest
+        // line fits in. Rounded to the nearest step it is half the time a
+        // 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));
+        painter.glyphs(tex, region);
         (region, size)
     }
 
-    /// Wrapping reads the width it is offered, so a wider box reshapes it and
-    /// a taller one does not. Alignment matters too, and separately: glyphs
-    /// anchored to the start of an axis stay put when that extent changes,
-    /// but centred or end-aligned ones move even though the shaping stands.
-    pub fn on_resize(&self, axis: Axis) -> OnResize {
-        let reshapes = axis == Axis::X && self.attrs.wrap;
-        let anchored = match axis {
-            Axis::X => self.align.x,
-            Axis::Y => self.align.y,
-        } == AxisAlign::Neg;
-        match reshapes || !anchored {
-            true => OnResize::Redraw,
-            false => OnResize::Translate,
-        }
-    }
-
     pub fn content(&self) -> String {
         self.buf.text().to_string()
     }
@@ -120,10 +110,6 @@ impl Widget for Text {
         self.update_buf();
         self.view.draw(painter).1
     }
-
-    fn on_resize(&self, axis: Axis) -> OnResize {
-        self.view.on_resize(axis)
-    }
 }
 
 impl Deref for Text {

src/widget/trait_fns.rs

@@ -12,14 +12,23 @@ widget_trait! {
         }
     }
 
-    fn align(self, align: impl Into<Align>) -> impl WidgetFn<Rsc, Aligned> {
-        move |state| Aligned {
-            inner: self.add_strong(state),
-            align: align.into(),
+    fn align(self, align: impl Into<Align>) -> impl WidgetIdFn<Rsc, WL::Widget> {
+        // An axis left out keeps whatever it had, which is centered unless
+        // something else set it.
+        let align = align.into();
+        move |state| {
+            let id = self.add(state);
+            let widgets = &mut state.ui_mut().widgets;
+            for (axis, align) in [(Axis::X, align.x), (Axis::Y, align.y)] {
+                if let Some(align) = align {
+                    widgets.set_alignment(id, axis, align);
+                }
+            }
+            id
         }
     }
 
-    fn center(self) -> impl WidgetFn<Rsc, Aligned> {
+    fn center(self) -> impl WidgetIdFn<Rsc, WL::Widget> {
         self.align(Align::CENTER)
     }
 
@@ -31,48 +40,46 @@ widget_trait! {
         }
     }
 
-    fn sized(self, size: impl Into<Size>) -> impl WidgetFn<Rsc, SetSize> {
+    fn region_node(self) -> impl WidgetIdFn<Rsc, WL::Widget> {
+        |state| {
+            let id = self.add(state);
+            state.ui_mut().widgets.set_region_node(id, true);
+            id
+        }
+    }
+
+    fn sized(self, size: impl Into<Size>) -> impl WidgetIdFn<Rsc, WL::Widget> {
         let size = size.into();
-        move |state| SetSize {
-            inner: self.add_strong(state),
-            x: Some(size.x),
-            y: Some(size.y),
+        move |state| {
+            let id = self.add(state);
+            let widgets = &mut state.ui_mut().widgets;
+            widgets.set_size_rule(id, Axis::X, SizeRule::Exact(size.x));
+            widgets.set_size_rule(id, Axis::Y, SizeRule::Exact(size.y));
+            id
         }
     }
 
-    fn max_width(self, len: impl Into<Len>) -> impl WidgetFn<Rsc, MaxSize> {
+    fn width(self, len: impl Into<LayoutLen>) -> impl WidgetIdFn<Rsc, WL::Widget> {
         let len = len.into();
-        move |state| MaxSize {
-            inner: self.add_strong(state),
-            x: Some(len),
-            y: None,
+        move |state| {
+            let id = self.add(state);
+            state
+                .ui_mut()
+                .widgets
+                .set_size_rule(id, Axis::X, SizeRule::Exact(len));
+            id
         }
     }
 
-    fn max_height(self, len: impl Into<Len>) -> impl WidgetFn<Rsc, MaxSize> {
+    fn height(self, len: impl Into<LayoutLen>) -> impl WidgetIdFn<Rsc, WL::Widget> {
         let len = len.into();
-        move |state| MaxSize {
-            inner: self.add_strong(state),
-            x: None,
-            y: Some(len),
-        }
-    }
-
-    fn width(self, len: impl Into<Len>) -> impl WidgetFn<Rsc, SetSize> {
-        let len = len.into();
-        move |state| SetSize {
-            inner: self.add_strong(state),
-            x: Some(len),
-            y: None,
-        }
-    }
-
-    fn height(self, len: impl Into<Len>) -> impl WidgetFn<Rsc, SetSize> {
-        let len = len.into();
-        move |state| SetSize {
-            inner: self.add_strong(state),
-            x: None,
-            y: Some(len),
+        move |state| {
+            let id = self.add(state);
+            state
+                .ui_mut()
+                .widgets
+                .set_size_rule(id, Axis::Y, SizeRule::Exact(len));
+            id
         }
     }
 
@@ -85,7 +92,9 @@ widget_trait! {
 
     fn scrollable(self) -> impl WidgetIdFn<Rsc, Scroll> where Rsc: HasEvents {
         move |state| {
-            Scroll::new(self.add_strong(state), Axis::Y)
+            let inner = self.add(state);
+            state.ui_mut().widgets.set_region_node(inner, true);
+            Scroll::new(inner.upgrade(state), Axis::Y)
                 .on(CursorSense::Scroll, |ctx, rsc| {
                     let delta = ctx.data.scroll_delta.y * 50.0;
                     ctx.widget(rsc).scroll(delta);
@@ -125,9 +134,13 @@ widget_trait! {
         |state| self.add(state)
     }
 
-    fn set_ptr(self, ptr: WeakWidget<WidgetPtr>, state: &mut Rsc) {
-        let id = self.add_strong(state);
-        state.ui_mut().widgets[ptr].inner = Some(id);
+    // Named for the type it makes rather than as `wrapped`, which would read
+    // as the text setting. `widget_trait!` takes no attributes, so what it is
+    // for is on `Wrapper` itself.
+    fn wrapper(self) -> impl WidgetFn<Rsc, Wrapper> {
+        |state| Wrapper {
+            inner: Some(self.add_strong(state)),
+        }
     }
 }
 

src/widget/wrapper.rs

@@ -1,11 +1,19 @@
 use crate::prelude::*;
 use std::marker::Unsize;
 
-pub struct WidgetPtr {
+/// One widget in a box of its own, doing as little as possible on the way:
+/// it draws its child in the whole of its box and reports back what the child
+/// said. It exists because a length and an alignment are properties of one
+/// widget, so a widget cannot both be 100 wide and take two shares of a row
+/// -- the two lengths need two widgets, and this is the smaller one.
+///
+/// Its child is optional so it can also be the swappable slot a tab bar
+/// needs, which is what it was written for.
+pub struct Wrapper {
     pub inner: Option<StrongWidget>,
 }
 
-impl Widget for WidgetPtr {
+impl Widget for Wrapper {
     fn draw(&mut self, painter: &mut Painter) -> Size {
         match &self.inner {
             Some(id) => painter.widget(id).size(),
@@ -14,7 +22,7 @@ impl Widget for WidgetPtr {
     }
 }
 
-impl WidgetPtr {
+impl Wrapper {
     pub fn new() -> Self {
         Self::default()
     }
@@ -35,7 +43,7 @@ impl WidgetPtr {
     }
 }
 
-impl Default for WidgetPtr {
+impl Default for Wrapper {
     fn default() -> Self {
         Self::empty()
     }

tests/cases/determinism.rs

@@ -21,18 +21,20 @@ 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(40.0);
-        let measured = painter.place(&self.probe, top).len(Axis::X);
-        let px = measured.apply_rest().to_px(painter.px_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, [None; 2], [Place::Within(Part::All), top])
+            .len(Axis::X);
+        let px = painter.to_px(measured.apply_leftover(), Axis::X);
 
-        let mut rest = UiRegion::FULL;
-        rest.y.start = rest.y.start.offset(40.0);
-        match px > self.threshold {
-            true => painter.place(&self.wide, rest),
-            false => painter.place(&self.narrow, rest),
+        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_at(&self.wide, [None; 2], place),
+            false => painter.widget_at(&self.narrow, [None; 2], place),
         };
-        Size::REST
+        Size::LEFTOVER
     }
 }
 

tests/cases/drift.rs

@@ -0,0 +1,45 @@
+//! What a retained drawing costs in accuracy when it is moved instead of made
+//! again. A subtree's stored regions are the only record of where it is, so a
+//! move that works from the last answer rather than from the box it is now in
+//! integrates its own rounding, and nothing later recomputes it. Re-expressing
+//! each part as the same fraction of the new box is what keeps a long-lived
+//! layout on the one a cold start produces.
+
+use iris::harness::Harness;
+use iris::prelude::*;
+
+/// A row of a fixed height under a bar, so changing the bar's height moves the
+/// row without changing the box it is given: the move path, repeatedly.
+fn plant(h: &mut Harness, bar_height: f32) -> (WeakWidget<Rect>, WeakWidget<Rect>) {
+    let bar = rect(Color::RED).height(bar_height).add(&mut h.rsc);
+    let inner = rect(Color::BLUE).add(&mut h.rsc);
+    let row = (inner, rect(Color::GREEN)).span(Dir::RIGHT).height(100);
+    h.set_root((bar, row).span(Dir::DOWN));
+    (bar, inner)
+}
+
+/// Enough moves to pass the 0.05 physical pixels layout treats as the same
+/// place, for a move that adds an offset to the last answer. Measured on this
+/// fixture on 2026-09-15: adding the offset to both ends of a span shortened
+/// the row by 0.071 over this many moves and by 0.712 over ten times as many,
+/// growing with the count rather than settling. Placing the far end from the
+/// near one instead left 0.069, because the length is re-derived either way.
+const MOVES: usize = 20_000;
+
+#[test]
+fn a_subtree_moved_many_times_stays_where_a_cold_layout_puts_it() {
+    let mut warm = Harness::new((640, 900));
+    let (bar, inner) = plant(&mut warm, 40.0);
+    let mut height = 40.0;
+    for step in 0..MOVES {
+        height = 40.0 + (step % 300) as f32 * 0.37;
+        warm.set_len(bar, Axis::Y, height);
+        warm.frame();
+    }
+
+    let mut cold = Harness::new((640, 900));
+    let (_, cold_inner) = plant(&mut cold, height);
+    cold.frame();
+
+    assert_eq!(warm.region(&inner), cold.region(&cold_inner));
+}

tests/cases/layout.rs

@@ -0,0 +1,823 @@
+//! Where a frame puts things, with no window to put them in.
+
+use iris::harness::{Harness, assert_corners};
+use iris::prelude::*;
+
+/// A fixed 100 wide, and the rest of the 400 to its neighbour.
+fn two_rects(h: &mut Harness) -> (WidgetId, WidgetId) {
+    let left = rect(Color::RED).width(100).add(&mut h.rsc);
+    let right = rect(Color::BLUE).add(&mut h.rsc);
+    h.set_root((left, right).span(Dir::RIGHT));
+    (left.id(), right.id())
+}
+
+#[test]
+fn a_span_gives_each_child_the_width_it_asked_for() {
+    let mut h = Harness::new((400, 200));
+    let (left, right) = two_rects(&mut h);
+
+    assert_corners!(h, left, (0, 0), (100, 200));
+    assert_corners!(h, right, (100, 0), (400, 200));
+}
+
+/// 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));
+    let half = rect(Color::RED).width(rel(0.5)).add(&mut h.rsc);
+    let inner = rect(Color::GREEN).width(rel(0.5)).add(&mut h.rsc);
+    let nested = (inner,).span(Dir::RIGHT).add(&mut h.rsc);
+    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 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), (400, 100));
+    assert_corners!(h, tail, (400, 0), (500, 100));
+}
+
+/// The same fraction either way round: after a 100 px child in a 400 px row,
+/// `rel(0.5)` is 100 to 300 whether the child's own rule says so or the child
+/// drew half of what it was offered and reported that. Half the row, not half
+/// of the 300 px left of it.
+#[test]
+fn a_reported_fraction_is_of_the_row_like_a_declared_one() {
+    let mut declaring = Harness::new((400, 100));
+    let head = rect(Color::RED).width(100).add(&mut declaring.rsc);
+    let declared = rect(Color::GREEN).width(rel(0.5)).add(&mut declaring.rsc);
+    declaring.set_root((head, declared).span(Dir::RIGHT).width(rel(1.0)));
+    assert_corners!(declaring, declared, (100, 0), (300, 100));
+
+    let mut reporting = Harness::new((400, 100));
+    let head = rect(Color::RED).width(100).add(&mut reporting.rsc);
+    let inner = rect(Color::GREEN).width(rel(0.5)).add(&mut reporting.rsc);
+    let reported = (inner,).span(Dir::RIGHT).add(&mut reporting.rsc);
+    reporting.set_root((head, reported).span(Dir::RIGHT).width(rel(1.0)));
+    assert_corners!(reporting, reported, (100, 0), (300, 100));
+}
+
+/// What the fraction a child reports is of and what box it is offered are
+/// two different lengths, and only the first is the whole row: a text still
+/// wraps at the room actually left after its neighbour, so the same
+/// paragraph is taller where less of the row is left for it.
+#[test]
+fn a_text_in_a_span_wraps_at_the_room_left_rather_than_the_whole_row() {
+    let paragraph = "Wrapping shapes one source into as many lines as the box \
+                     leaves room for, so a paragraph's height is an answer.";
+    let height_after = |head_width: i32| {
+        let mut h = Harness::new((400, 400));
+        let head = rect(Color::RED).width(head_width).add(&mut h.rsc);
+        let text = wtext(paragraph).size(16).wrap(true).add(&mut h.rsc);
+        h.set_root((head, text).span(Dir::RIGHT).width(rel(1.0)));
+        let region = h.region(&text).unwrap();
+        (region.bot_right.y - region.top_left.y).to_f32()
+    };
+
+    let (crowded, whole_row) = (height_after(300), height_after(0));
+    assert!(crowded > whole_row, "{crowded} against {whole_row}");
+}
+
+/// Padding is an inset: it narrows the frame a fraction resolves against and
+/// adds itself back to the padded widget's reported length.
+#[test]
+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);
+    let tail = rect(Color::BLUE).width(100).add(&mut h.rsc);
+    // Ruled to the window: a root reporting a fraction of it is otherwise
+    // 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, inner, (10, 10), (200, 90));
+    assert_corners!(h, padded, (0, 0), (210, 100));
+    assert_corners!(h, tail, (210, 0), (310, 100));
+}
+
+const PARAGRAPH: &str = "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.";
+
+/// The worked example of what padding insets: in a 900 px row after a 24 px
+/// icon, a `rel(1.0)` inside `pad(16)` is 900 - 32 and overflows the row by
+/// the icon's width, while a wrapping text beside it is asked in the room
+/// left, 900 - 24 - 32, and wraps there.
+#[test]
+fn padding_keeps_the_frame_distinct_from_the_room_left_in_a_row() {
+    let mut h = Harness::new((900, 200));
+    let icon = rect(Color::RED).width(24).add(&mut h.rsc);
+    let fill = rect(Color::GREEN).width(rel(1.0)).add(&mut h.rsc);
+    let padded = fill.pad(16).add(&mut h.rsc);
+    h.set_root((icon, padded).span(Dir::RIGHT).width(rel(1.0)));
+    let fill_width = h.region(&fill).unwrap().size().x;
+    assert_eq!(fill_width, Px::from_int(868));
+
+    let mut h = Harness::new((900, 200));
+    let icon = rect(Color::RED).width(24).add(&mut h.rsc);
+    let text = wtext(PARAGRAPH).size(16).wrap(true).add(&mut h.rsc);
+    let padded = text.pad(16).add(&mut h.rsc);
+    h.set_root((icon, padded).span(Dir::RIGHT).width(rel(1.0)));
+    let active = &h.render.active[&text.id()];
+    let window = h.render.output_size().x;
+    let asked = active.part.x.len().to_px(window);
+    assert_eq!(active.frame.x.to_px(window), Px::from_int(868));
+    assert_eq!(asked, Px::from_int(844));
+}
+
+/// The other way round: a share inside padding. A slot is a length of the
+/// row, which is already the padded width, so what the span decided reaches
+/// the child as it stands -- taking the padding off a second time would make
+/// `rel(1.0)` in the slot shorter than the slot.
+#[test]
+fn a_share_inside_padding_fills_the_slot_it_was_given() {
+    let mut h = Harness::new((900, 200));
+    let fill = rect(Color::GREEN).width(rel(1.0)).add(&mut h.rsc);
+    let first = Span {
+        children: vec![fill.add_strong(&mut h.rsc)],
+        dir: Dir::RIGHT,
+        gap: Px::ZERO,
+    }
+    .width(leftover(1))
+    .add(&mut h.rsc);
+    let second = rect(Color::BLUE).width(leftover(1)).add(&mut h.rsc);
+    let row = (first, second).span(Dir::RIGHT).add(&mut h.rsc);
+    h.set_root(row.pad(16));
+
+    assert_eq!(h.region(&first).unwrap().size().x, Px::from_int(434));
+    assert_eq!(h.region(&fill).unwrap().size().x, Px::from_int(434));
+}
+
+/// The same padding in a share instead: the slot is 450, so both the
+/// fraction and the wrap are the slot less the padding, and the two agree.
+#[test]
+fn padding_narrows_both_frame_and_box_inside_a_share() {
+    let mut h = Harness::new((900, 200));
+    let fill = rect(Color::GREEN).width(rel(1.0)).add(&mut h.rsc);
+    let padded = fill.pad(16).width(leftover(1)).add(&mut h.rsc);
+    let other = rect(Color::BLUE).width(leftover(1)).add(&mut h.rsc);
+    h.set_root((padded, other).span(Dir::RIGHT).width(rel(1.0)));
+    assert_eq!(h.region(&fill).unwrap().size().x, Px::from_int(418));
+
+    let mut h = Harness::new((900, 200));
+    let text = wtext(PARAGRAPH).size(16).wrap(true).add(&mut h.rsc);
+    let padded = text.pad(16).width(leftover(1)).add(&mut h.rsc);
+    let other = rect(Color::BLUE).width(leftover(1)).add(&mut h.rsc);
+    h.set_root((padded, other).span(Dir::RIGHT).width(rel(1.0)));
+    let active = &h.render.active[&text.id()];
+    let window = h.render.output_size().x;
+    assert_eq!(active.frame.x.to_px(window), Px::from_int(418));
+    assert_eq!(active.part.x.len().to_px(window), Px::from_int(418));
+}
+
+#[test]
+fn a_span_ruled_across_itself_does_not_measure_its_children_there() {
+    let mut h = Harness::new((400, 200));
+    let child = rect(Color::RED).height(40).add(&mut h.rsc);
+    let span = (child,).span(Dir::RIGHT).height(rel(1.0)).add(&mut h.rsc);
+    h.set_root(span);
+
+    assert_eq!(h.render.active[&span.id()].size.y, LayoutLen::rel(1.0));
+}
+
+#[test]
+fn a_span_reports_its_tallest_fixed_child() {
+    let mut h = Harness::new((400, 200));
+    let short = rect(Color::RED).height(40).add(&mut h.rsc);
+    let tall = rect(Color::BLUE).height(70).add(&mut h.rsc);
+    let span = (short, tall).span(Dir::RIGHT).add(&mut h.rsc);
+    h.set_root(span);
+
+    assert_eq!(h.render.active[&span.id()].size.y, LayoutLen::px(70.0));
+}
+
+#[test]
+fn resizing_relays_out_against_the_new_output() {
+    let mut h = Harness::new((400, 200));
+    let (left, right) = two_rects(&mut h);
+
+    h.resize((800, 100));
+    assert!(h.needs_redraw());
+    h.frame();
+
+    assert_corners!(h, left, (0, 0), (100, 100));
+    assert_corners!(h, right, (100, 0), (800, 100));
+}
+
+#[test]
+fn an_empty_widget_takes_a_share_of_a_span() {
+    let mut h = Harness::new((400, 200));
+    let gap = ().add(&mut h.rsc);
+    let right = rect(Color::BLUE).width(100).add(&mut h.rsc);
+    h.set_root((gap, right).span(Dir::RIGHT));
+
+    assert_corners!(h, gap, (0, 0), (300, 200));
+    assert_corners!(h, right, (300, 0), (400, 200));
+}
+
+#[test]
+fn a_child_drawn_twice_moves_once() {
+    let mut h = Harness::new((400, 200));
+    // The span measures a child and then places it; listing it twice would
+    // move it twice. The span's own fixed total is shorter than the window,
+    // so the span is centred in it and everything under it carries that.
+    let inner = rect(Color::BLUE).add(&mut h.rsc);
+    let centered = inner.center().width(200).add(&mut h.rsc);
+    let left = rect(Color::RED).width(100).add(&mut h.rsc);
+    h.set_root((left, centered).span(Dir::RIGHT));
+    assert_corners!(h, inner, (150, 0), (350, 200));
+
+    h.set_len(left, Axis::X, 150);
+    h.frame();
+
+    assert_corners!(h, inner, (175, 0), (375, 200));
+}
+
+#[test]
+fn alignment_accepts_an_arbitrary_fraction_and_changes_at_runtime() {
+    let mut h = Harness::new((400, 200));
+    let fixed = rect(Color::BLUE).sized((100, 100)).add(&mut h.rsc);
+    h.rsc
+        .widgets_mut()
+        .set_alignment(fixed, Axis::X, AxisAlign::new(0.25));
+    h.rsc
+        .widgets_mut()
+        .set_alignment(fixed, Axis::Y, AxisAlign::NEG);
+    h.set_root(fixed);
+    assert_corners!(h, fixed, (75, 0), (175, 100));
+
+    h.rsc
+        .widgets_mut()
+        .set_alignment(fixed, Axis::X, AxisAlign::new(0.75));
+    h.frame();
+    assert_corners!(h, fixed, (225, 0), (325, 100));
+}
+
+#[test]
+fn a_resize_lands_where_a_cold_start_would() {
+    let build = |h: &mut Harness| {
+        let para = wtext(
+            "Wrapping shapes one source into as many lines as its container leaves room \
+             for, so the height of a paragraph is an answer rather than a setting.",
+        )
+        .size(20)
+        .wrap(true)
+        .pad(16)
+        .add(&mut h.rsc);
+        let below = rect(Color::RED).add(&mut h.rsc);
+        let root = (para, below).span(Dir::DOWN).pad(12);
+        h.set_root(root);
+        (para, below)
+    };
+
+    let mut cold = Harness::new((900, 1200));
+    let (cold_para, cold_below) = build(&mut cold);
+
+    let mut resized = Harness::new((1920, 1200));
+    let (para, below) = build(&mut resized);
+    resized.resize((900, 1200));
+    resized.frame();
+
+    assert_eq!(resized.region(&para), cold.region(&cold_para), "paragraph");
+    assert_eq!(resized.region(&below), cold.region(&cold_below), "below");
+}
+
+#[test]
+fn a_fixed_box_is_drawn_again_rather_than_stretched() {
+    let mut h = Harness::new((400, 400));
+    // The panel fills a stack sized by its sibling, so it is first asked in
+    // the whole box and then given the shorter one. Reusing it in that fixed
+    // box afterwards would leave it whatever height it happened to have.
+    let panel = rect(Color::BLUE).add(&mut h.rsc);
+    let leaf = rect(Color::RED).height(100).add(&mut h.rsc);
+    let stack = (panel, leaf)
+        .stack()
+        .size(StackSize::Child(1))
+        .add(&mut h.rsc);
+    h.set_root(stack.align(Align::TOP));
+    assert_corners!(h, panel, (0, 0), (400, 100));
+
+    h.set_len(leaf, Axis::Y, 250);
+    h.frame();
+
+    assert_corners!(h, panel, (0, 0), (400, 250));
+}
+
+#[test]
+fn a_moved_subtree_takes_its_children_with_it() {
+    let mut h = Harness::new((400, 400));
+    let first = rect(Color::RED).height(40).add(&mut h.rsc);
+    let inner = rect(Color::BLUE).add(&mut h.rsc);
+    let row = inner.pad(10).height(40).region_node().add(&mut h.rsc);
+    // 80 of fixed rows in a 400 window, so the span takes 80 and sits in the
+    // middle of what it was given.
+    h.set_root((first, row).span(Dir::DOWN));
+    assert_corners!(h, inner, (10, 210), (390, 230));
+
+    h.set_len(first, Axis::Y, 80);
+    h.frame();
+
+    // The row opted into one movable region, so its descendants follow one
+    // entry rather than having their primitive regions rewritten.
+    assert_corners!(h, inner, (10, 230), (390, 250));
+}
+
+#[test]
+fn a_fixed_length_child_keeps_it_when_the_box_around_it_grows() {
+    let mut h = Harness::new((400, 200));
+    let fixed = rect(Color::BLUE).width(50).add(&mut h.rsc);
+    let leftover = rect(Color::GREEN).add(&mut h.rsc);
+    let panel = (fixed, leftover).span(Dir::RIGHT).add(&mut h.rsc);
+    // Changing the bar's width is the only thing that changes the box the
+    // panel and everything under it was drawn for.
+    let bar = rect(Color::RED).width(100).add(&mut h.rsc);
+    h.set_root((bar, panel).span(Dir::RIGHT));
+    assert_corners!(h, fixed, (100, 0), (150, 200));
+    assert_corners!(h, leftover, (150, 0), (400, 200));
+
+    h.set_len(bar, Axis::X, 200);
+    h.frame();
+
+    // The panel's box is 100 shorter, so the fixed child is the same 50 wide
+    // against its new start and the one taking what is left absorbs the change.
+    assert_corners!(h, fixed, (200, 0), (250, 200));
+    assert_corners!(h, leftover, (250, 0), (400, 200));
+}
+
+#[test]
+fn a_box_with_a_fixed_length_can_be_stretched_on_its_other_axis() {
+    let mut h = Harness::new((400, 200));
+    // The row is 40 tall whatever happens, which used to make its drawing
+    // impossible to take out of: recovering a fraction of a box needs a
+    // relative extent, and it has none on that axis.
+    let inner = rect(Color::BLUE).add(&mut h.rsc);
+    let row = inner.pad(10).height(40).add(&mut h.rsc);
+    let filler = rect(Color::GREEN).add(&mut h.rsc);
+    // This column is an item in a row, so it takes the width left for it
+    // rather than asking for a full row-width in addition to the bar.
+    let column = (row, filler).span(Dir::DOWN).add(&mut h.rsc);
+    let bar = rect(Color::RED).width(100).add(&mut h.rsc);
+    h.set_root((bar, column).span(Dir::RIGHT));
+    assert_corners!(h, inner, (110, 10), (390, 30));
+
+    h.set_len(bar, Axis::X, 200);
+    h.frame();
+
+    assert_corners!(h, inner, (210, 10), (390, 30));
+}
+
+#[test]
+fn only_a_region_node_lengthens_the_chain_and_it_can_be_removed() {
+    let mut h = Harness::new((400, 200));
+    let leaf = rect(Color::BLUE).add(&mut h.rsc);
+    let buried = leaf.pad(4).pad(4).pad(4).pad(4).add(&mut h.rsc);
+    let bar = rect(Color::RED).width(100).add(&mut h.rsc);
+    h.set_root((bar, buried).span(Dir::RIGHT));
+
+    let move_idx = h.render.active[&leaf.id()].parent_move;
+    assert_eq!(h.render.moves.depth(move_idx), 0, "the window is no entry");
+
+    h.rsc.widgets_mut().set_region_node(buried, true);
+    h.frame();
+    let move_idx = h.render.active[&leaf.id()].parent_move;
+    assert_eq!(
+        h.render.moves.depth(move_idx),
+        1,
+        "the opted-in widget's region alone"
+    );
+
+    h.rsc.widgets_mut().set_region_node(buried, false);
+    h.frame();
+    let move_idx = h.render.active[&leaf.id()].parent_move;
+    assert_eq!(h.render.moves.depth(move_idx), 0);
+}
+
+/// A span that sizes from its children passes their `leftover` weight up
+/// than collapsing it to one share, so nesting divides the same space instead
+/// of re-dividing a share of it.
+#[test]
+fn nested_spans_divide_the_space_once_however_deep_the_nesting_is() {
+    let mut h = Harness::new((400, 200));
+    let (a, b, c, d) = (
+        rect(Color::RED).add(&mut h.rsc),
+        rect(Color::BLUE).add(&mut h.rsc),
+        rect(Color::GREEN).add(&mut h.rsc),
+        rect(Color::WHITE).add(&mut h.rsc),
+    );
+    let left = (a, b).span(Dir::RIGHT).add(&mut h.rsc);
+    let right = (c, d).span(Dir::RIGHT).add(&mut h.rsc);
+    h.set_root((left, right).span(Dir::RIGHT));
+
+    for (i, id) in [a, b, c, d].into_iter().enumerate() {
+        let x = i as f32 * 100.0;
+        assert_corners!(h, id, (x, 0), (x + 100.0, 200));
+    }
+}
+
+/// The same space, unevenly nested: weights carried up mean a share is a
+/// share of the whole, not of whatever branch a widget happens to sit in.
+///
+/// Each edge lands on the even division or one step below it, since a share
+/// is a fraction of the room and a truncating multiply gives up what that
+/// fraction does not divide. What stays exact is that each share starts
+/// where the last one ended and the row ends at its own edge.
+#[test]
+fn an_uneven_nesting_still_gives_every_share_the_same_length() {
+    let mut h = Harness::new((400, 200));
+    let (a, b, c, d) = (
+        rect(Color::RED).add(&mut h.rsc),
+        rect(Color::BLUE).add(&mut h.rsc),
+        rect(Color::GREEN).add(&mut h.rsc),
+        rect(Color::WHITE).add(&mut h.rsc),
+    );
+    let one = (a,).span(Dir::RIGHT).add(&mut h.rsc);
+    let three = (b, c, d).span(Dir::RIGHT).add(&mut h.rsc);
+    h.set_root((one, three).span(Dir::RIGHT));
+
+    let mut start = Px::ZERO;
+    for (i, id) in [a, b, c, d].into_iter().enumerate() {
+        let got = h.region(&id).expect("widget drew nothing");
+        let even = Px::from_int((i as i32 + 1) * 100);
+        assert_eq!(got.top_left, PxVec2::new(start, Px::ZERO), "share {i}");
+        assert_eq!(got.bot_right.y, Px::from_int(200), "share {i}");
+        assert!(
+            got.bot_right.x == even || got.bot_right.x == even.next_down(),
+            "share {i} ends at {:?}, not {even:?}",
+            got.bot_right.x
+        );
+        start = got.bot_right.x;
+    }
+    assert_eq!(
+        start,
+        Px::from_int(400),
+        "the row stopped short of its edge"
+    );
+}
+
+/// However many ways a row is divided, the shares add up to the row: each
+/// one is the fixed parts before it plus a share of the room, rather than a
+/// step from where the last one ended, so the roundings do not accumulate
+/// along it. Chained, two hundred of them ended a step short of the edge.
+#[test]
+fn a_row_of_equal_shares_fills_it_exactly() {
+    for n in [2usize, 3, 7, 64, 200] {
+        let mut h = Harness::new((1000, 100));
+        let mut ids = Vec::new();
+        let mut kids: Vec<StrongWidget> = Vec::new();
+        for _ in 0..n {
+            let kid = rect(Color::RED).add(&mut h.rsc);
+            ids.push(kid.id());
+            kids.push(kid.add_strong(&mut h.rsc));
+        }
+        let span = Span {
+            children: kids,
+            dir: Dir::RIGHT,
+            gap: Px::ZERO,
+        }
+        .add(&mut h.rsc);
+        h.set_root(span);
+        h.frame();
+
+        for (i, id) in ids.iter().enumerate() {
+            let at = h.region(id).expect("a share drew nothing").top_left.x;
+            let want = Px::from_f32(1000.0 * (i as f32) / (n as f32));
+            assert!(
+                (at - want).abs() <= Px::STEP,
+                "{n} shares: the {i}th starts at {at:?}, not {want:?}"
+            );
+        }
+        let end = h.region(ids.last().unwrap()).unwrap().bot_right.x;
+        assert_eq!(end, Px::from_int(1000), "{n} shares do not reach the edge");
+    }
+}
+
+/// Where the shader puts an edge: the fraction resolved against the window
+/// plus the pixel offset, taken to the boundary it composes to within half
+/// 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.move_idx, active.extent);
+    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());
+    let span = region.axis(axis);
+    (edge(span.start), edge(span.end))
+}
+
+fn hairline(h: &mut Harness, marks: &mut Vec<WidgetId>) -> StrongWidget {
+    let mark = rect(Color::RED).width(1).add_strong(&mut h.rsc);
+    marks.push(mark.id());
+    mark
+}
+
+fn share(h: &mut Harness, inner: StrongWidget, ratio: f32) -> StrongWidget {
+    h.set_len(&inner, Axis::X, LayoutLen::leftover(ratio));
+    inner
+}
+
+/// Shares in weights no binary fraction lands on, a padding on one branch
+/// and not the other, so an edge falls near an integer as often as it can.
+fn hairlines(h: &mut Harness, depth: usize, marks: &mut Vec<WidgetId>) -> StrongWidget {
+    let mut span = Span::empty(Dir::RIGHT);
+    if depth == 0 {
+        let left = rect(Color::BLUE).add_strong(&mut h.rsc);
+        let left = share(h, left, 3.0);
+        span.push(left);
+        let mark = hairline(h, marks);
+        span.push(mark);
+        let right = rect(Color::BLUE).add_strong(&mut h.rsc);
+        let right = share(h, right, 7.0);
+        span.push(right);
+        return span.add_strong(&mut h.rsc);
+    }
+    let first = hairlines(h, depth - 1, marks);
+    let first = share(h, first, 3.0);
+    span.push(first);
+    let second = hairlines(h, depth - 1, marks);
+    let second = Pad {
+        padding: Padding {
+            left: Px::from_int(3),
+            right: Px::from_int(7),
+            top: Px::ZERO,
+            bottom: Px::ZERO,
+        },
+        inner: second,
+    }
+    .add_strong(&mut h.rsc);
+    let second = share(h, second, 5.0);
+    span.push(second);
+    span.add_strong(&mut h.rsc)
+}
+
+/// A one-pixel line is a pixel wherever it is drawn. Both edges of a fixed
+/// length share their box's fraction, so composing the chain moves them
+/// together and the shader's `floor` cannot round the pixel between them
+/// away -- only shift it. A separator that disappeared at one window size
+/// would be a defect no size comparison catches.
+#[test]
+fn a_one_pixel_line_keeps_its_pixel_through_a_chain() {
+    let mut h = Harness::new((1920, 1200));
+    let mut marks = Vec::new();
+    let root = hairlines(&mut h, 4, &mut marks);
+    h.state.set_root(root);
+    h.frame();
+    assert_eq!(marks.len(), 16);
+
+    for size in [(1920, 1200), (1919, 1201), (997, 1003), (1367, 733)] {
+        h.resize(size);
+        h.frame();
+        for mark in &marks {
+            let (start, end) = drawn_edges(&h, *mark, Axis::X);
+            assert_eq!(end - start, 1.0, "at {size:?}, mark {mark:?}");
+        }
+    }
+}
+
+/// A span short of room takes it from its shares, which go to nothing and
+/// then to nothing wider; the fixed lengths between them keep their pixels.
+/// Collapsing those to make room would delete a separator the caller asked
+/// for, which is worse than overflowing.
+#[test]
+fn a_span_out_of_room_shrinks_its_shares_and_not_its_fixed_lengths() {
+    let mut h = Harness::new((400, 20));
+    let mut marks = Vec::new();
+    let mut span = Span::empty(Dir::RIGHT);
+    for _ in 0..3 {
+        let share_of = rect(Color::BLUE).add_strong(&mut h.rsc);
+        let share_of = share(&mut h, share_of, 1.0);
+        span.push(share_of);
+        let mark = hairline(&mut h, &mut marks);
+        span.push(mark);
+    }
+    let root = span.add_strong(&mut h.rsc);
+    h.state.set_root(root);
+    h.frame();
+
+    for width in [400, 10, 3, 1] {
+        h.resize((width, 20));
+        h.frame();
+        for mark in &marks {
+            let (start, end) = drawn_edges(&h, *mark, Axis::X);
+            assert_eq!(end - start, 1.0, "at {width} wide, mark {mark:?}");
+        }
+    }
+}
+
+#[test]
+fn only_a_pure_leftover_child_disappears_when_nothing_is_left() {
+    let mut h = Harness::new((100, 20));
+    let fixed = rect(Color::RED).width(100).add(&mut h.rsc);
+    let leftover = rect(Color::BLUE).add(&mut h.rsc);
+    h.set_root((fixed, leftover).span(Dir::RIGHT));
+
+    assert_corners!(h, fixed, (0, 0), (100, 20));
+    assert_eq!(h.region(&leftover), None);
+
+    // An undrawn child remains a dependency of the span, so making room for
+    // it draws it without rebuilding the tree.
+    h.set_len(fixed, Axis::X, 60);
+    h.frame();
+    assert_corners!(h, leftover, (60, 0), (100, 20));
+
+    let mut h = Harness::new((100, 20));
+    let fixed = rect(Color::RED).width(100).add(&mut h.rsc);
+    let mixed = rect(Color::BLUE)
+        .width(LayoutLen::px(20) + LayoutLen::LEFTOVER)
+        .add(&mut h.rsc);
+    h.set_root((fixed, mixed).span(Dir::RIGHT));
+
+    // Pixels and fractions still overflow; only a child whose entire length
+    // is leftover is omitted.
+    assert_corners!(h, mixed, (100, 0), (120, 20));
+}
+
+#[test]
+fn leftover_children_disappear_at_the_exact_fixed_content_boundary() {
+    let mut h = Harness::new((100, 100));
+    let first = rect(Color::RED).height(90).add(&mut h.rsc);
+    let a = rect(Color::GREEN).add(&mut h.rsc);
+    let b = rect(Color::BLUE).add(&mut h.rsc);
+    let inner = (a, b).span(Dir::DOWN).gap(4).add(&mut h.rsc);
+    h.set_root((first, inner).span(Dir::DOWN));
+    assert!(h.region(&a).is_some());
+    assert!(h.region(&b).is_some());
+
+    h.set_len(first, Axis::Y, 96.0);
+    h.frame();
+
+    assert!(h.region(&a).is_none());
+    assert!(h.region(&b).is_none());
+}
+
+/// **A stack child smaller than the stack sits where its own alignment
+/// says.** `Stack` gives every child the box its sizing child defines and
+/// used to force the near edge on all of them; that override is owed only to
+/// the sizing child, which has already placed its own content in the box the
+/// stack derived from its answer. Every other child is handed a box that owes
+/// nothing to it, so where it sits in one bigger than itself is its own
+/// business -- and with the override it could not be aligned at all, which is
+/// what moved the `tabs` example's counters to the wrong corner.
+#[test]
+fn a_stack_child_smaller_than_the_stack_keeps_its_own_alignment() {
+    let mut h = Harness::new((400, 200));
+    let big = rect(Color::BLUE).add(&mut h.rsc);
+    let small = rect(Color::RED).sized((50, 50)).add(&mut h.rsc);
+    h.rsc
+        .widgets_mut()
+        .set_alignment(small.id(), Axis::X, AxisAlign::POS);
+    let (a, b) = (big.add_strong(&mut h.rsc), small.add_strong(&mut h.rsc));
+    let children: Vec<StrongWidget> = vec![a, b];
+    h.set_root(Stack {
+        children,
+        size: StackSize::Default,
+    });
+
+    assert_corners!(h, big, (0, 0), (400, 200));
+    // The far edge on X because it asked for it, the middle on Y because
+    // that is the default.
+    assert_corners!(h, small, (350, 75), (400, 125));
+}
+/// Five children of one span, buried under three containers that are each a
+/// fraction of their parent so no length reaches the window without being
+/// composed and rounded on the way. Returns each child's drawn width and
+/// each gap between them, in pixels.
+fn row_under_fractions(kid: Option<LayoutLen>, gap: f32, box_w: f32) -> (Vec<Px>, Vec<Px>) {
+    let mut h = Harness::new((box_w, 400.0));
+    let mut ids = Vec::new();
+    let mut kids: Vec<StrongWidget> = Vec::new();
+    for _ in 0..5 {
+        let r = rect(Color::RED).add(&mut h.rsc);
+        if let Some(len) = kid {
+            h.rsc
+                .widgets_mut()
+                .set_size_rule(r.id(), Axis::X, SizeRule::Exact(len));
+        }
+        ids.push(r.id());
+        kids.push(r.add_strong(&mut h.rsc));
+    }
+    let span = Span {
+        children: kids,
+        dir: Dir::RIGHT,
+        gap: Px::from_f32(gap),
+    }
+    .add(&mut h.rsc);
+    let a = (span.width(rel(0.9)),).span(Dir::RIGHT).add(&mut h.rsc);
+    let b = (a.width(rel(0.8)),).span(Dir::RIGHT).add(&mut h.rsc);
+    h.set_root((b.width(rel(0.7)),).span(Dir::RIGHT));
+    let boxes: Vec<_> = ids
+        .iter()
+        .map(|id| h.region(id).expect("a child drew nothing"))
+        .collect();
+    (
+        boxes.iter().map(|b| b.bot_right.x - b.top_left.x).collect(),
+        boxes
+            .windows(2)
+            .map(|p| p[1].top_left.x - p[0].bot_right.x)
+            .collect(),
+    )
+}
+
+/// **A length given in pixels is that many pixels, wherever it ends up.** A
+/// gap and a declared width compose additively -- `Len::within` adds a part's
+/// own pixels rather than scaling them, and both ends of a gap carry the same
+/// fraction, so the multiply that rounds is the same on each -- which is why
+/// nesting the row inside fractions of fractions cannot move them. Swept over
+/// 2,100 box widths when this was written and exact at every one; five here,
+/// including widths that divide badly by five.
+#[test]
+fn a_length_in_pixels_is_that_many_pixels_however_it_is_nested() {
+    for box_w in [300.0, 1000.0, 1001.0, 1003.0, 1920.0] {
+        let want = Px::from_int(7);
+        let (_, gaps) = row_under_fractions(None, 7.0, box_w);
+        assert!(
+            gaps.iter().all(|g| *g == want),
+            "box {box_w}: gaps between leftover children are {gaps:?}"
+        );
+        let (widths, gaps) = row_under_fractions(Some(LayoutLen::px(100.0)), 7.0, box_w);
+        assert!(
+            gaps.iter().all(|g| *g == want),
+            "box {box_w}: gaps between fixed children are {gaps:?}"
+        );
+        assert!(
+            widths.iter().all(|w| *w == Px::from_int(100)),
+            "box {box_w}: declared widths came out {widths:?}"
+        );
+    }
+}
+
+/// **Children asking for the same share of a row are not the same length**,
+/// and this pins by how much rather than claiming they are equal. A position
+/// is the quantity that gets rounded, so the row fills exactly and no two
+/// children leave a seam; what that costs is a step or two between lengths
+/// that were asked for identically. Exact composition would shrink the
+/// spread, not remove it: five equal lengths cannot fill a row whose step
+/// count is not a multiple of five.
+#[test]
+fn equal_shares_differ_by_at_most_two_steps_and_fill_the_row() {
+    for kid in [None, Some(LayoutLen::rel(0.2))] {
+        for box_w in [300.0, 1000.0, 1001.0, 1003.0, 1920.0] {
+            let (widths, gaps) = row_under_fractions(kid, 0.0, box_w);
+            let spread = *widths.iter().max().unwrap() - *widths.iter().min().unwrap();
+            assert!(
+                spread <= Px::from_raw(2),
+                "box {box_w}, {kid:?}: widths {widths:?} spread {spread:?}"
+            );
+            assert!(
+                gaps.iter().all(|g| *g == Px::ZERO),
+                "box {box_w}, {kid:?}: children left seams {gaps:?}"
+            );
+        }
+    }
+}
+
+#[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));
+}
+
+/// The root's frame is the window and its rule is a fraction of that, which
+/// is one resolution and not two: nothing above it narrowed anything.
+#[test]
+fn a_root_with_a_fraction_rule_is_that_fraction_of_the_window() {
+    let mut h = Harness::new((900, 200));
+    let root = rect(Color::RED).width(rel(0.5)).add(&mut h.rsc);
+    h.set_root(root);
+    assert_eq!(h.region(&root).unwrap().size().x, Px::from_int(450));
+}

tests/cases/plan.rs

@@ -0,0 +1,121 @@
+//! The tree a seed describes, as a value rather than as widgets.
+//!
+//! Two things have to hold for a plan to be worth having. Editing a plan has
+//! to mean what growing with those edits means, or a scenario reads one thing
+//! and the oracle another. And reducing a plan has to end, or a shrinker
+//! searching for the smallest counterexample never returns.
+
+use iris::random::{Edits, Kind, Plan, Rng, SpanEdit, plan};
+use std::collections::HashMap;
+
+fn some_edits(seed: u64, of: &Plan) -> Edits {
+    let mut rng = Rng::new(seed);
+    let (mut sized, mut aligned, mut nodes, mut spans) = (0, 0, 0, 0);
+    let mut of = of.clone();
+    of.walk_mut(&mut |p| {
+        if matches!(p.kind, Kind::Span { .. }) {
+            spans += 1;
+        }
+        sized += p.size.is_some() as usize;
+        aligned += p.align.is_some() as usize;
+        nodes += p.region_node.is_some() as usize;
+    });
+    let pick =
+        |n: usize, rng: &mut Rng| -> Vec<usize> { (0..n).filter(|_| rng.chance()).collect() };
+    Edits {
+        sizes: pick(sized, &mut rng)
+            .into_iter()
+            .map(|i| (i, [Some(LayoutLen::LEFTOVER), None]))
+            .collect(),
+        aligns: pick(aligned, &mut rng)
+            .into_iter()
+            .map(|i| (i, [Some(AxisAlign::POS), None]))
+            .collect(),
+        nodes: pick(nodes, &mut rng)
+            .into_iter()
+            .map(|i| (i, true))
+            .collect(),
+        spans: pick(spans, &mut rng)
+            .into_iter()
+            .map(|i| {
+                (
+                    i,
+                    SpanEdit {
+                        detach: vec![0],
+                        attach: 2,
+                    },
+                )
+            })
+            .collect::<HashMap<_, _>>(),
+        fixed_branches: false,
+    }
+}
+
+use iris::prelude::*;
+
+/// The two routes to an edited tree are one tree. `plan` resolves edits out
+/// of the random stream as it draws; `edited` puts them on a tree that
+/// already exists, which is the only route a shrunk plan has, since no seed
+/// grows one. A scenario written against either has to read the same.
+#[test]
+fn editing_a_plan_is_growing_one_with_those_edits() {
+    for seed in 1..=60 {
+        let bare = plan(seed, 5, &Edits::default());
+        let edits = some_edits(seed, &bare);
+        assert_eq!(
+            bare.edited(&edits),
+            plan(seed, 5, &edits),
+            "seed {seed}: edited and grown-with-edits disagree"
+        );
+    }
+}
+
+/// Every simplification is strictly smaller, so taking them in turn reaches a
+/// fixed point instead of circling. A shrinker that can return to a tree it
+/// has already tried does not stop.
+#[test]
+fn every_simplification_of_a_plan_is_smaller_than_it() {
+    for seed in 1..=60 {
+        let tree = plan(seed, 4, &Edits::default());
+        let mut queue = vec![tree];
+        let mut seen = 0;
+        while let Some(node) = queue.pop() {
+            seen += 1;
+            if seen > 400 {
+                break;
+            }
+            for small in node.smaller() {
+                assert!(
+                    small.size() <= node.size(),
+                    "seed {seed}: a simplification grew from {} to {}",
+                    node.size(),
+                    small.size()
+                );
+                if small.size() < node.size() {
+                    queue.push(small);
+                }
+            }
+        }
+    }
+}
+
+/// Reducing until nothing reduces ends, and ends at something small enough to
+/// read rather than at the tree it started from.
+#[test]
+fn reducing_a_plan_all_the_way_ends() {
+    for seed in 1..=30 {
+        let mut node = plan(seed, 5, &Edits::default());
+        let grown = node.size();
+        let mut steps = 0;
+        while let Some(next) = node.smaller().into_iter().next() {
+            node = next;
+            steps += 1;
+            assert!(steps < 10_000, "seed {seed}: reducing did not end");
+        }
+        assert!(
+            node.size() < grown.max(2),
+            "seed {seed}: reduced {grown} widgets to {}",
+            node.size()
+        );
+    }
+}

tests/cases/scroll.rs

@@ -0,0 +1,163 @@
+//! Scrolling moves content and stops at its ends.
+
+use iris::harness::{Harness, assert_corners};
+use iris::prelude::*;
+
+#[test]
+fn scrollable_enables_a_region_node_but_raw_scroll_does_not() {
+    let mut h = Harness::new((100, 100));
+    let default_child = ().add(&mut h.rsc);
+    let _default = default_child.scrollable().add(&mut h.rsc);
+    assert!(h.rsc.widgets().is_region_node(default_child));
+    h.rsc.widgets_mut().set_region_node(default_child, false);
+    assert!(!h.rsc.widgets().is_region_node(default_child));
+
+    let raw_child = ().add(&mut h.rsc);
+    let _raw = Scroll::new(raw_child.add_strong(&mut h.rsc), Axis::Y).add(&mut h.rsc);
+    assert!(!h.rsc.widgets().is_region_node(raw_child));
+
+    let explicit = ().region_node().add(&mut h.rsc);
+    assert!(h.rsc.widgets().is_region_node(explicit));
+}
+
+#[test]
+fn a_scrollable_child_can_drop_its_region_node() {
+    let mut h = Harness::new((400, 200));
+    let top = rect(Color::RED).height(200).add(&mut h.rsc);
+    let bottom = rect(Color::BLUE).height(200).add(&mut h.rsc);
+    let content = (top, bottom).span(Dir::DOWN).add(&mut h.rsc);
+    h.set_root(content.scrollable());
+    h.rsc.widgets_mut().set_region_node(content, false);
+    h.frame();
+
+    h.move_to((200, 100));
+    h.scroll((0, 1));
+    h.frame();
+
+    assert!(!h.rsc.widgets().is_region_node(content));
+    assert_corners!(h, top, (0, -150), (400, 50));
+}
+
+#[test]
+fn a_wheel_scrolls_the_content_and_stops_at_its_end() {
+    let mut h = Harness::new((400, 200));
+    // Twice the window's height, so there is 200 to scroll.
+    let top = rect(Color::RED).height(200).add(&mut h.rsc);
+    let bottom = rect(Color::BLUE).height(200).add(&mut h.rsc);
+    h.set_root((top, bottom).span(Dir::DOWN).scrollable());
+    h.move_to((200, 100));
+
+    // `Scroll` starts snapped to the end.
+    assert_corners!(h, top, (0, -200), (400, 0));
+
+    // The handler scales a wheel line by 50.
+    h.scroll((0, 1));
+    h.frame();
+    assert_corners!(h, top, (0, -150), (400, 50));
+
+    h.scroll((0, 10));
+    h.frame();
+    assert_corners!(h, top, (0, 0), (400, 200));
+}
+
+#[test]
+fn fixed_content_and_a_share_fill_one_viewport() {
+    let mut h = Harness::new((900, 100));
+    let content = rect(Color::RED)
+        .width(LayoutLen {
+            px: Px::from_int(600),
+            rel: Rel::ZERO,
+            leftover: Weight::ONE,
+        })
+        .add(&mut h.rsc);
+    let scroll = Scroll::new(content.add_strong(&mut h.rsc), Axis::X);
+    h.set_root(scroll);
+
+    assert_corners!(h, content, (0, 0), (900, 100));
+}
+
+#[test]
+fn fixed_content_wider_than_the_viewport_still_scrolls() {
+    let mut h = Harness::new((900, 100));
+    let content = rect(Color::RED).width(1200).add(&mut h.rsc);
+    let scroll = Scroll::new(content.add_strong(&mut h.rsc), Axis::X);
+    h.set_root(scroll);
+
+    assert_corners!(h, content, (-300, 0), (900, 100));
+}
+
+#[test]
+fn a_lone_share_fills_without_scrolling() {
+    let mut h = Harness::new((900, 100));
+    let content = rect(Color::RED).width(LayoutLen::LEFTOVER).add(&mut h.rsc);
+    let scroll = Scroll::new(content.add_strong(&mut h.rsc), Axis::X);
+    h.set_root(scroll);
+
+    assert_corners!(h, content, (0, 0), (900, 100));
+}
+
+#[test]
+fn wrapping_content_beside_a_fixed_length_is_stable_warm_and_cold() {
+    fn plant(h: &mut Harness) -> (WidgetId, WidgetId) {
+        let fixed = rect(Color::RED).width(600).add(&mut h.rsc);
+        let text = 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)
+            .width(LayoutLen::LEFTOVER)
+            .add(&mut h.rsc);
+        let content = (fixed, text).span(Dir::RIGHT).add(&mut h.rsc);
+        let scroll = Scroll::new(content.add_strong(&mut h.rsc), Axis::X);
+        h.set_root(scroll);
+        (text.id(), content.id())
+    }
+
+    let mut warm = Harness::new((900, 300));
+    let (text, content) = plant(&mut warm);
+    warm.rsc.widgets_mut().get_dyn_mut(text);
+    warm.frame();
+
+    let mut cold = Harness::new((900, 300));
+    let (cold_text, cold_content) = plant(&mut cold);
+
+    assert_eq!(warm.region(&text), cold.region(&cold_text));
+    assert_eq!(warm.region(&content), cold.region(&cold_content));
+}
+
+/// A widget that clips to its box may not report more than the box: its
+/// parent would place the part it cut off, and the framework would put a
+/// drawing longer than its box somewhere. `Masked` is the second of these
+/// after `Scroll`, and the assertion in `draw_at` is what says so.
+#[test]
+#[should_panic = "clips to"]
+fn a_clipping_widget_reporting_more_than_its_box_is_caught() {
+    struct Clipper(StrongWidget);
+
+    impl Widget for Clipper {
+        fn draw(&mut self, painter: &mut Painter) -> Size {
+            painter.set_mask(UiRegion::FULL);
+            painter.widget(&self.0).size()
+        }
+    }
+
+    let mut h = Harness::new((100, 100));
+    let tall = rect(Color::RED).height(400).add_strong(&mut h.rsc);
+    let clipper = Clipper(tall).add(&mut h.rsc);
+    h.set_root(clipper);
+    h.frame();
+}
+
+/// Content that fits sits in the viewport, not in a box of the window's
+/// length anchored at the viewport's start. `Part::From` takes window
+/// lengths, so a `rel(1.0)` span in one is the window, and only a scroll
+/// filling the window would land right.
+#[test]
+fn content_that_fits_is_placed_in_the_viewport_and_not_in_the_window() {
+    let mut h = Harness::new((400, 400));
+    let head = rect(Color::RED).height(100).add(&mut h.rsc);
+    let inner = rect(Color::BLUE).height(50).add(&mut h.rsc);
+    let scroll = Scroll::new(inner.add_strong(&mut h.rsc), Axis::Y).add(&mut h.rsc);
+    h.set_root((head, scroll).span(Dir::DOWN));
+
+    assert_corners!(h, scroll, (0, 100), (400, 400));
+    assert_corners!(h, inner, (0, 225), (400, 275));
+}

tests/chain_cost.rs

@@ -1,6 +1,5 @@
-//! What the vertex shader's move-chain walk costs, against how deep the chain
-//! is. Every active widget owns a slot, so the depth a primitive resolves
-//! through is its depth in the widget tree.
+//! What the vertex shader's move-chain walk costs, against how many nested
+//! region nodes a primitive resolves through.
 //!
 //!     cargo test --release --test chain_cost -- --ignored --nocapture
 //!
@@ -17,8 +16,8 @@
 
 use iris::prelude::*;
 use iris_core::{
-    MaskIdx, MoveIdx, PrimitiveInst, RectPrimitive, UiData, UiRegion, UiRenderNode, UiRenderState,
-    UiScalar, UiSpan,
+    Len, MaskIdx, MoveIdx, PrimitiveInst, RectPrimitive, UiData, UiRegion, UiRenderNode,
+    UiRenderState, UiSpan,
 };
 use wgpu::{Color as GpuColor, *};
 
@@ -80,7 +79,7 @@ fn fill(ui: &mut UiData, render: &mut UiRenderState, depth: usize) {
         slot = render.moves.push(slot, UiRegion::FULL);
     }
 
-    let px = |v: f32| UiScalar { rel: 0.0, px: v };
+    let px = |v: f32| Len::px(v);
     for i in 0..INSTANCES {
         let x = (i % (SIZE as usize / 2)) as f32 * 2.0;
         let y = (i / (SIZE as usize / 2)) as f32;

tests/generated.rs

@@ -1,20 +1,21 @@
-//! Random trees, checked against building the same tree cold.
+//! Laying a tree out again has to land where growing it that way would.
 //!
-//! A frame reaches its layout by keeping most of the last one: slots
-//! rewritten, some widgets drawn again, the rest untouched. The property here
-//! is that what comes out is the tree a cold start would have produced, so
-//! anything the retained path carried over that it should not have shows up
-//! as a difference in somebody's box.
+//! Every case is one of `scenario`'s, over the trees `iris::random` grows
+//! from a seed. The fast test takes a handful of seeds and the ignored one
+//! takes as many as it is asked for; both run the same cases the shrinker
+//! does over the same trees, so a seed that fails here is reduced by
 //!
-//! `iris::random` grows the tree and `examples/random.rs` draws one. A seed is
-//! the whole reproduction; `a_long_run_of_seeds_agrees` is the ignored sweep
-//! for when it is worth spending the time.
+//!     SHRINK_SEED=<seed> SHRINK_DEPTH=<depth> SHRINK_CASE=<case> \
+//!       cargo test --release --test shrink -- --ignored --nocapture
+//!
+//! `IRIS_GENERATED_SEED`, `IRIS_GENERATED_SEEDS` and `IRIS_GENERATED_DEPTH`
+//! select what the long run covers.
 
-use std::collections::HashMap;
+#[path = "scenario/mod.rs"]
+mod scenario;
 
-use iris::harness::Harness;
-use iris::prelude::*;
-use iris::random::{Edits, Lens, Rng, SpanEdit, Tree, grow};
+use iris::random::{Edits, plan};
+use scenario::{ALL, Case, diverges, env, over_seeds};
 
 /// How deep the generator branches. The generator widens two to four ways per
 /// level, so depth is exponential in width and a deep narrow tree is not
@@ -24,445 +25,102 @@ fn depth() -> usize {
     env("IRIS_GENERATED_DEPTH", 4)
 }
 
-fn env<T: std::str::FromStr>(name: &str, fallback: T) -> T {
-    std::env::var(name)
-        .ok()
-        .and_then(|value| value.parse().ok())
-        .unwrap_or(fallback)
-}
-const SEEDS: [u64; 7] = [1, 2, 3, 5, 8, 13, 98];
-const REGION_EPSILON_PX: f32 = 0.05;
+/// The seeds the ordinary tests take. Seven that have never failed; 86,
+/// which a `Scroll` fixed point once settled differently on; and 20, which
+/// caught a locally redrawn widget being placed twice in the box its parent
+/// had already placed it in.
+const SEEDS: [u64; 10] = [1, 2, 3, 5, 8, 10, 13, 20, 86, 98];
 
-fn same_coordinate(got: f32, want: f32) -> bool {
-    (got - want).abs() <= REGION_EPSILON_PX
-}
-
-fn same_region(got: Option<PixelRegion>, want: Option<PixelRegion>) -> bool {
-    match (got, want) {
-        (Some(got), Some(want)) => {
-            same_coordinate(got.top_left.x, want.top_left.x)
-                && same_coordinate(got.top_left.y, want.top_left.y)
-                && same_coordinate(got.bot_right.x, want.bot_right.x)
-                && same_coordinate(got.bot_right.y, want.bot_right.y)
-        }
-        (None, None) => true,
-        _ => false,
-    }
-}
-
-fn plant(h: &mut Harness, seed: u64, edits: &Edits) -> Tree {
-    let (root, tree) = grow(&mut h.rsc, seed, depth(), edits);
-    h.state.root = Some(root);
-    h.frame();
-    tree
-}
-
-fn resize_one(h: &mut Harness, tree: &Tree, idx: usize, rng: &mut Rng) -> Lens {
-    let lens = [
-        Some(Len::px(20.0 + rng.below(180) as f32)),
-        Some(Len::px(20.0 + rng.below(180) as f32)),
-    ];
-    let sized = &mut h.rsc[tree.sized[idx]];
-    sized.x = lens[0];
-    sized.y = lens[1];
-    lens
-}
-
-/// Changes a few of the declared sizes, and says which, so the cold tree can
-/// be grown with the same ones.
-fn edit(h: &mut Harness, tree: &Tree, rng: &mut Rng) -> HashMap<usize, Lens> {
-    let mut edits = HashMap::new();
-    for _ in 0..4 {
-        let idx = rng.below(tree.sized.len());
-        edits.insert(idx, resize_one(h, tree, idx, rng));
-    }
-    edits
-}
-
-/// Every declared size at once, so every reader of a size in the tree has a
-/// changed descendant in the same frame and the whole dirty set has to settle
-/// together.
-fn edit_every(h: &mut Harness, tree: &Tree, rng: &mut Rng) -> HashMap<usize, Lens> {
-    (0..tree.sized.len())
-        .map(|idx| (idx, resize_one(h, tree, idx, rng)))
-        .collect()
-}
-
-/// 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.
-#[derive(Clone, Copy, Debug)]
-enum Shuffle {
-    /// Every other child, so what is left is interleaved with what went.
-    EveryOther,
-    /// Everything but the first, which is the last step before empty.
-    AllButFirst,
-    /// Three more on the end at once.
-    AddThree,
-    /// The first out and three more on, so the count moves both ways.
-    SwapForThree,
-    /// One out of the middle and one on the end.
-    TradeOne,
-}
-
-const SHUFFLES: [Shuffle; 5] = [
-    Shuffle::EveryOther,
-    Shuffle::AllButFirst,
-    Shuffle::AddThree,
-    Shuffle::SwapForThree,
-    Shuffle::TradeOne,
-];
-
-impl Shuffle {
-    fn of(self, grown: usize) -> SpanEdit {
-        let all = |step: usize, from: usize| (from..grown).step_by(step).collect();
-        match self {
-            Self::EveryOther => SpanEdit {
-                detach: all(2, 0),
-                attach: 0,
-            },
-            Self::AllButFirst => SpanEdit {
-                detach: all(1, 1),
-                attach: 0,
-            },
-            Self::AddThree => SpanEdit {
-                detach: Vec::new(),
-                attach: 3,
-            },
-            Self::SwapForThree => SpanEdit {
-                detach: vec![0],
-                attach: 3,
-            },
-            Self::TradeOne => SpanEdit {
-                detach: vec![grown / 2],
-                attach: 1,
-            },
-        }
-    }
-}
-
-/// Applies `shuffle` to every third span, and says what it did so the cold
-/// tree can be grown that way. The widgets it takes out are given back: the
-/// last share of one must outlive the comparison, or its id is handed to
-/// something else and the two trees stop lining up.
-fn reshuffle(
-    h: &mut Harness,
-    tree: &mut Tree,
-    shuffle: Shuffle,
-) -> (HashMap<usize, SpanEdit>, Vec<StrongWidget>) {
-    let mut edits = HashMap::new();
-    let mut detached = Vec::new();
-    for (idx, span) in tree.spans.iter_mut().enumerate().step_by(3) {
-        let span_edit = shuffle.of(span.grown);
-        let mut take = span_edit.detach.clone();
-        take.sort_unstable();
-        let children = &mut h.rsc[span.id].children;
-        // Highest first, so an index means the same child however many of
-        // its neighbours are going too.
-        for j in take.into_iter().rev() {
-            if j < children.len() {
-                detached.push(children.remove(j));
-            }
-        }
-        let attach = span_edit.attach.min(span.spares.len());
-        children.extend(span.spares.drain(..attach));
-        edits.insert(idx, span_edit);
-    }
-    (edits, detached)
-}
-
-/// What a widget was configured with, so a tree the generator found can be
-/// written out by hand. A fuzz failure is a lead; the fast test that replaces
-/// it has to be buildable from what the failure printed.
-fn describe(id: WidgetId, h: &Harness) -> String {
-    let label = h.rsc.widgets().label(id).to_string();
-    let Some(widget) = h.rsc.widgets().get_dyn(id) else {
-        return label;
-    };
-    let any: &dyn std::any::Any = widget;
-    let len = |l: &Option<Len>| match l {
-        Some(l) => format!("{l}"),
-        None => "-".into(),
-    };
-    if let Some(w) = any.downcast_ref::<SetSize>() {
-        return format!("SetSize{{x:{},y:{}}}", len(&w.x), len(&w.y));
-    }
-    if let Some(w) = any.downcast_ref::<Span>() {
-        let sign = if w.dir.sign == Sign::Neg { "-" } else { "+" };
-        return format!(
-            "Span{{dir:{:?}{sign},gap:{},n:{}}}",
-            w.dir.axis,
-            w.gap,
-            w.children.len()
+fn check(seed: u64, depth: usize, case: Case) {
+    let grown = plan(seed, depth, &Edits::default());
+    if let Some(how) = diverges(&grown, case, seed) {
+        panic!(
+            "seed {seed} at depth {depth} differs after {}: {how}\n\
+             reduce it with SHRINK_SEED={seed} SHRINK_DEPTH={depth} \
+             SHRINK_CASE={} cargo test --release --test shrink -- --ignored --nocapture",
+            case.name(),
+            case.name(),
         );
     }
-    if let Some(w) = any.downcast_ref::<Pad>() {
-        let p = &w.padding;
-        return format!(
-            "Pad{{l:{},r:{},t:{},b:{}}}",
-            p.left, p.right, p.top, p.bottom
-        );
-    }
-    if let Some(w) = any.downcast_ref::<Aligned>() {
-        let a = |v: Option<AxisAlign>| match v {
-            None => "-",
-            Some(AxisAlign::Neg) => "neg",
-            Some(AxisAlign::Center) => "mid",
-            Some(AxisAlign::Pos) => "pos",
-        };
-        return format!("Aligned{{x:{},y:{}}}", a(w.align.x), a(w.align.y));
-    }
-    if let Some(w) = any.downcast_ref::<Stack>() {
-        return format!("Stack{{n:{}}}", w.children.len());
-    }
-    label
 }
 
-/// Every widget in one tree against the matching widget in the other. A
-/// mismatch prints the widget's ancestry, marking the ones that own a slot,
-/// since where two trees disagree is rarely where the cause is.
-fn assert_same(seed: u64, what: &str, warm: (&Harness, &Tree), cold: (&Harness, &Tree)) {
-    let ((wh, wt), (ch, ct)) = (warm, cold);
-    assert_eq!(wt.ids.len(), ct.ids.len(), "seed {seed}: different trees");
-    let mut drawn = 0;
-    let mut wrong = 0;
-    for (i, (&w, &c)) in wt.ids.iter().zip(&ct.ids).enumerate() {
-        let (got, want) = (wh.region(&w), ch.region(&c));
-        drawn += usize::from(got.is_some());
-        // This oracle cares where rasterization lands, not whether equivalent
-        // arithmetic produced the same f32. Keep the tolerance to one
-        // twentieth of a physical pixel, while whether a widget drew remains
-        // exact.
-        if same_region(got, want) {
-            continue;
-        }
-        wrong += 1;
-        if wrong <= 3 {
-            let mut chain = Vec::new();
-            let mut at = Some(w);
-            while let Some(id) = at {
-                let active = &wh.render.active[&id];
-                let slot = match active.move_idx == active.parent_move {
-                    true => "",
-                    false => "*",
-                };
-                chain.push(format!("{}{slot}", describe(id, wh)));
-                at = active.parent;
+macro_rules! case {
+    ($name:ident, $case:expr) => {
+        #[test]
+        fn $name() {
+            for seed in SEEDS {
+                check(seed, depth(), $case);
             }
-            println!(
-                "seed {seed} after {what}: widget {i}\n  warm {got:?}\n  cold {want:?}\n  {}",
-                chain.join(" < ")
-            );
         }
-    }
-    assert!(drawn > 0, "seed {seed}: nothing was drawn");
-    assert_eq!(wrong, 0, "seed {seed}: {wrong} widgets differ after {what}");
+    };
 }
 
-fn changed_size(seed: u64) {
-    let mut warm = Harness::new((900, 1200));
-    let grown = plant(&mut warm, seed, &Edits::default());
-    // Not every tree grows a declared size to change.
-    if grown.sized.is_empty() {
-        return;
-    }
-
-    let mut rng = Rng::new(seed ^ 0x5eed);
-    let sizes = edit(&mut warm, &grown, &mut rng);
-    warm.frame();
-
-    let mut cold = Harness::new((900, 1200));
-    let same = plant(
-        &mut cold,
-        seed,
-        &Edits {
-            sizes,
-            ..Default::default()
-        },
-    );
-
-    assert_same(seed, "a size change", (&warm, &grown), (&cold, &same));
-}
-
-fn reshuffled(seed: u64, shuffle: Shuffle) {
-    let mut warm = Harness::new((900, 1200));
-    let mut grown = plant(&mut warm, seed, &Edits::default());
-    // Some seeds grow nothing but wrappers, and a shuffle with no span to
-    // shuffle is not the same thing as one that had no effect. A span behind
-    // a branch nobody took is the same kind of nothing: it is not drawn, so
-    // shuffling it cannot move anything.
-    let shuffles = grown
-        .spans
-        .iter()
-        .step_by(3)
-        .any(|span| warm.region(&span.id.id()).is_some());
-    if !shuffles {
-        return;
-    }
-    let before: Vec<_> = grown.ids.iter().map(|id| warm.region(id)).collect();
-
-    let (spans, _held) = reshuffle(&mut warm, &mut grown, shuffle);
-    warm.frame();
-
-    // Or the two trees would agree for want of anything having happened.
-    let after = grown.ids.iter().map(|id| warm.region(id));
-    let moved = before.iter().zip(after).filter(|(a, b)| *a != b).count();
-    assert!(moved > 0, "seed {seed}: {shuffle:?} changed nothing");
-
-    let mut cold = Harness::new((900, 1200));
-    let same = plant(
-        &mut cold,
-        seed,
-        &Edits {
-            spans,
-            ..Default::default()
-        },
-    );
-
-    let what = format!("{shuffle:?}");
-    assert_same(seed, &what, (&warm, &grown), (&cold, &same));
-}
-
-fn changed_every_size(seed: u64) {
-    let mut warm = Harness::new((900, 1200));
-    let grown = plant(&mut warm, seed, &Edits::default());
-    if grown.sized.is_empty() {
-        return;
-    }
-
-    let mut rng = Rng::new(seed ^ 0xa11);
-    let sizes = edit_every(&mut warm, &grown, &mut rng);
-    warm.frame();
-
-    let mut cold = Harness::new((900, 1200));
-    let same = plant(
-        &mut cold,
-        seed,
-        &Edits {
-            sizes,
-            ..Default::default()
-        },
-    );
-
-    assert_same(seed, "every size at once", (&warm, &grown), (&cold, &same));
-}
-
-/// Marks a spread of widgets for redraw at once. Nothing changes, so no box
-/// may either; what this exercises is the order a frame settles a dirty set
-/// in, which the other cases reach one dependency path at a time.
-fn repainted_together(seed: u64) {
-    let mut warm = Harness::new((900, 1200));
-    let grown = plant(&mut warm, seed, &Edits::default());
-    for &id in grown.ids.iter().step_by(5) {
-        warm.rsc.widgets_mut().get_dyn_mut(id);
-    }
-    assert!(
-        !warm.rsc.widgets().needs_redraw.is_empty(),
-        "seed {seed}: nothing was marked"
-    );
-    warm.frame();
-
-    let mut cold = Harness::new((900, 1200));
-    let same = plant(&mut cold, seed, &Edits::default());
-
-    let what = "many repaints at once";
-    assert_same(seed, what, (&warm, &grown), (&cold, &same));
-}
-
-fn resized(seed: u64) {
-    let mut warm = Harness::new((1920, 1200));
-    let grown = plant(&mut warm, seed, &Edits::default());
-    warm.resize((640, 900));
-    warm.frame();
-
-    let mut cold = Harness::new((640, 900));
-    let same = plant(&mut cold, seed, &Edits::default());
-
-    assert_same(seed, "a resize", (&warm, &grown), (&cold, &same));
-}
-
-fn resized_then_changed(seed: u64) {
-    let mut warm = Harness::new((1920, 1200));
-    let grown = plant(&mut warm, seed, &Edits::default());
-    if grown.sized.is_empty() {
-        return;
-    }
-    warm.resize((640, 900));
-    warm.frame();
-
-    let mut rng = Rng::new(seed ^ 0xb0a7);
-    let sizes = edit(&mut warm, &grown, &mut rng);
-    warm.frame();
-
-    let mut cold = Harness::new((640, 900));
-    let same = plant(
-        &mut cold,
-        seed,
-        &Edits {
-            sizes,
-            ..Default::default()
-        },
-    );
-
-    let what = "a resize then a size change";
-    assert_same(seed, what, (&warm, &grown), (&cold, &same));
-}
-
-#[test]
-fn a_changed_size_lands_where_growing_it_that_way_would() {
-    SEEDS.into_iter().for_each(changed_size);
-}
-
-#[test]
-fn every_size_changing_at_once_lands_where_growing_it_that_way_would() {
-    SEEDS.into_iter().for_each(changed_every_size);
-}
-
-#[test]
-fn many_widgets_redrawing_at_once_leaves_every_box_where_it_was() {
-    SEEDS.into_iter().for_each(repainted_together);
-}
-
-#[test]
-fn a_resize_lands_where_starting_at_that_size_would() {
-    SEEDS.into_iter().for_each(resized);
-}
-
-#[test]
-fn a_size_change_after_a_resize_lands_the_same_way() {
-    SEEDS.into_iter().for_each(resized_then_changed);
-}
+case!(
+    many_widgets_redrawing_at_once_leaves_every_box_where_it_was,
+    Case::RepaintSome
+);
+case!(
+    everything_redrawing_at_once_leaves_every_box_where_it_was,
+    Case::Repaint
+);
+case!(
+    a_resize_lands_where_starting_at_that_size_would,
+    Case::Resize
+);
+case!(
+    a_resize_and_a_repaint_land_where_starting_that_way_would,
+    Case::ResizeRepaint
+);
+case!(
+    a_size_change_after_a_resize_lands_the_same_way,
+    Case::ResizeSize
+);
+case!(
+    a_size_change_lands_where_growing_it_that_way_would,
+    Case::Size
+);
+case!(
+    every_size_changing_at_once_lands_where_growing_it_that_way_would,
+    Case::EverySize
+);
+case!(
+    an_alignment_change_lands_where_growing_it_that_way_would,
+    Case::Align
+);
+case!(
+    giving_and_taking_a_movable_region_rebuilds_what_resolves_it,
+    Case::RegionNode
+);
+case!(
+    reordering_a_span_lands_where_growing_it_that_way_would,
+    Case::Reorder
+);
 
 #[test]
 fn adding_and_removing_span_children_lands_where_growing_it_that_way_would() {
-    for shuffle in SHUFFLES {
-        for seed in SEEDS {
-            reshuffled(seed, shuffle);
+    for case in ALL {
+        if matches!(case, Case::Shuffle(_)) {
+            for seed in SEEDS {
+                check(seed, depth(), case);
+            }
         }
     }
 }
 
-/// The same property over a hundred seeds and every scenario. What it has
-/// found so far was never where the trees disagreed: a text measured in a box
-/// it was not going to get, and a widget re-measured in a box its own answer
-/// had decided. `tests/shrink.rs` is how a seed from here becomes a tree
-/// small enough to read.
 #[test]
-#[ignore = "a hundred seeds, rather than the seven the others check"]
+#[ignore = "as many seeds as it is asked for, rather than the nine the others check"]
 fn a_long_run_of_seeds_agrees() {
-    let seeds = std::env::var("IRIS_GENERATED_SEED")
+    let depth = depth();
+    let seeds: Vec<u64> = match std::env::var("IRIS_GENERATED_SEED")
         .ok()
-        .and_then(|seed| seed.parse().ok())
-        .map(|seed| seed..=seed)
-        .unwrap_or_else(|| 1..=env("IRIS_GENERATED_SEEDS", 100));
-    for seed in seeds {
-        changed_size(seed);
-        changed_every_size(seed);
-        repainted_together(seed);
-        resized(seed);
-        resized_then_changed(seed);
-        for shuffle in SHUFFLES {
-            reshuffled(seed, shuffle);
+        .and_then(|v| v.parse().ok())
+    {
+        Some(seed) => vec![seed],
+        None => (1..=env("IRIS_GENERATED_SEEDS", 100_u64)).collect(),
+    };
+    over_seeds(seeds, |seed| {
+        for case in ALL {
+            check(seed, depth, case);
         }
-    }
+    });
 }

tests/layout.rs

@@ -1,351 +0,0 @@
-//! Where a frame puts things, with no window to put them in.
-
-use iris::harness::{Harness, assert_corners};
-use iris::prelude::*;
-
-/// A fixed 100 wide, and the rest of the 400 to its neighbour.
-fn two_rects(h: &mut Harness) -> (WidgetId, WidgetId) {
-    let left = rect(Color::RED).width(100).add(&mut h.rsc);
-    let right = rect(Color::BLUE).add(&mut h.rsc);
-    h.set_root((left, right).span(Dir::RIGHT));
-    (left.id(), right.id())
-}
-
-#[test]
-fn a_span_gives_each_child_the_width_it_asked_for() {
-    let mut h = Harness::new((400, 200));
-    let (left, right) = two_rects(&mut h);
-
-    assert_corners!(h, left, (0, 0), (100, 200));
-    assert_corners!(h, right, (100, 0), (400, 200));
-}
-
-#[test]
-fn resizing_relays_out_against_the_new_output() {
-    let mut h = Harness::new((400, 200));
-    let (left, right) = two_rects(&mut h);
-
-    h.resize((800, 100));
-    assert!(h.needs_redraw());
-    h.frame();
-
-    assert_corners!(h, left, (0, 0), (100, 100));
-    assert_corners!(h, right, (100, 0), (800, 100));
-}
-
-#[test]
-fn an_empty_widget_takes_a_share_of_a_span() {
-    let mut h = Harness::new((400, 200));
-    let gap = ().add(&mut h.rsc);
-    let right = rect(Color::BLUE).width(100).add(&mut h.rsc);
-    h.set_root((gap, right).span(Dir::RIGHT));
-
-    assert_corners!(h, gap, (0, 0), (300, 200));
-    assert_corners!(h, right, (300, 0), (400, 200));
-}
-
-#[test]
-fn a_child_drawn_twice_moves_once() {
-    let mut h = Harness::new((400, 200));
-    // `Aligned` draws its child twice; listing it twice would move it twice.
-    let inner = rect(Color::BLUE).add(&mut h.rsc);
-    let centered = inner.center().width(200).add(&mut h.rsc);
-    let left = rect(Color::RED).width(100).add(&mut h.rsc);
-    h.set_root((left, centered).span(Dir::RIGHT));
-    assert_corners!(h, inner, (100, 0), (300, 200));
-
-    h.rsc[left].x = Some(Len::px(150));
-    h.frame();
-
-    assert_corners!(h, inner, (150, 0), (350, 200));
-}
-
-#[test]
-fn a_resize_lands_where_a_cold_start_would() {
-    let build = |h: &mut Harness| {
-        let para = wtext(
-            "Wrapping shapes one source into as many lines as its container leaves room \
-             for, so the height of a paragraph is an answer rather than a setting.",
-        )
-        .size(20)
-        .wrap(true)
-        .pad(16)
-        .add(&mut h.rsc);
-        let below = rect(Color::RED).add(&mut h.rsc);
-        let root = (para, below).span(Dir::DOWN).pad(12);
-        h.set_root(root);
-        (para, below)
-    };
-
-    let mut cold = Harness::new((900, 1200));
-    let (cold_para, cold_below) = build(&mut cold);
-
-    let mut resized = Harness::new((1920, 1200));
-    let (para, below) = build(&mut resized);
-    resized.resize((900, 1200));
-    resized.frame();
-
-    assert_eq!(resized.region(&para), cold.region(&cold_para), "paragraph");
-    assert_eq!(resized.region(&below), cold.region(&cold_below), "below");
-}
-
-#[test]
-fn a_fixed_box_is_drawn_again_rather_than_stretched() {
-    let mut h = Harness::new((400, 400));
-    // The panel fills a stack sized by its sibling, so it is drawn in the
-    // whole box and then placed in the shorter one. Reusing it in that fixed
-    // box afterwards would leave it whatever height it happened to have.
-    let panel = rect(Color::BLUE).add(&mut h.rsc);
-    let leaf = rect(Color::RED).height(100).add(&mut h.rsc);
-    let stack = (panel, leaf)
-        .stack()
-        .size(StackSize::Child(1))
-        .add(&mut h.rsc);
-    h.set_root(stack.align(Align::TOP));
-    assert_corners!(h, panel, (0, 0), (400, 100));
-
-    h.rsc[leaf].y = Some(Len::px(250));
-    h.frame();
-
-    assert_corners!(h, panel, (0, 0), (400, 250));
-}
-
-#[test]
-fn a_moved_subtree_takes_its_children_with_it() {
-    let mut h = Harness::new((400, 400));
-    let first = rect(Color::RED).height(40).add(&mut h.rsc);
-    let inner = rect(Color::BLUE).add(&mut h.rsc);
-    let row = inner.pad(10).height(40).add(&mut h.rsc);
-    h.set_root((first, row).span(Dir::DOWN));
-    assert_corners!(h, inner, (10, 50), (390, 70));
-
-    h.rsc[first].y = Some(Len::px(80));
-    h.frame();
-
-    // The row is the same shape somewhere else, so one slot moved it and
-    // `inner`'s own region was never rewritten.
-    assert_corners!(h, inner, (10, 90), (390, 110));
-}
-
-#[test]
-fn a_fixed_length_child_keeps_it_when_the_box_around_it_grows() {
-    let mut h = Harness::new((400, 200));
-    let fixed = rect(Color::BLUE).width(50).add(&mut h.rsc);
-    let rest = rect(Color::GREEN).add(&mut h.rsc);
-    let panel = (fixed, rest).span(Dir::RIGHT).add(&mut h.rsc);
-    // Changing the bar's width is the only thing that changes the box the
-    // panel and everything under it was drawn for.
-    let bar = rect(Color::RED).width(100).add(&mut h.rsc);
-    h.set_root((bar, panel).span(Dir::RIGHT));
-    assert_corners!(h, fixed, (100, 0), (150, 200));
-    assert_corners!(h, rest, (150, 0), (400, 200));
-
-    h.rsc[bar].x = Some(Len::px(200));
-    h.frame();
-
-    // The panel's box is 100 shorter, so the fixed child is the same 50 wide
-    // against its new start and the one taking the rest absorbs the change.
-    assert_corners!(h, fixed, (200, 0), (250, 200));
-    assert_corners!(h, rest, (250, 0), (400, 200));
-}
-
-#[test]
-fn a_box_with_a_fixed_length_can_be_stretched_on_its_other_axis() {
-    let mut h = Harness::new((400, 200));
-    // The row is 40 tall whatever happens, which used to make its drawing
-    // impossible to take out of: recovering a fraction of a box needs a
-    // relative extent, and it has none on that axis.
-    let inner = rect(Color::BLUE).add(&mut h.rsc);
-    let row = inner.pad(10).height(40).add(&mut h.rsc);
-    let filler = rect(Color::GREEN).add(&mut h.rsc);
-    let column = (row, filler).span(Dir::DOWN).add(&mut h.rsc);
-    let bar = rect(Color::RED).width(100).add(&mut h.rsc);
-    h.set_root((bar, column).span(Dir::RIGHT));
-    assert_corners!(h, inner, (110, 10), (390, 30));
-
-    h.rsc[bar].x = Some(Len::px(200));
-    h.frame();
-
-    assert_corners!(h, inner, (210, 10), (390, 30));
-}
-
-#[test]
-fn only_a_container_that_places_its_children_lengthens_the_chain() {
-    let mut h = Harness::new((400, 200));
-    let leaf = rect(Color::BLUE).add(&mut h.rsc);
-    // Four widgets between the span and the leaf, none of which places what
-    // it draws, so all of them share the span's slot.
-    let buried = leaf.pad(4).pad(4).pad(4).pad(4).add(&mut h.rsc);
-    let bar = rect(Color::RED).width(100).add(&mut h.rsc);
-    h.set_root((bar, buried).span(Dir::RIGHT));
-
-    let slot = h.render.active[&leaf.id()].parent_move;
-    assert_eq!(
-        h.render.moves.depth(slot),
-        2,
-        "the span above the leaf, and the root the window is held in"
-    );
-}
-
-/// A span that sizes from its children passes their `rest` weight up rather
-/// than collapsing it to one share, so nesting divides the same space instead
-/// of re-dividing a share of it.
-#[test]
-fn nested_spans_divide_the_space_once_however_deep_the_nesting_is() {
-    let mut h = Harness::new((400, 200));
-    let (a, b, c, d) = (
-        rect(Color::RED).add(&mut h.rsc),
-        rect(Color::BLUE).add(&mut h.rsc),
-        rect(Color::GREEN).add(&mut h.rsc),
-        rect(Color::WHITE).add(&mut h.rsc),
-    );
-    let left = (a, b).span(Dir::RIGHT).add(&mut h.rsc);
-    let right = (c, d).span(Dir::RIGHT).add(&mut h.rsc);
-    h.set_root((left, right).span(Dir::RIGHT));
-
-    for (i, id) in [a, b, c, d].into_iter().enumerate() {
-        let x = i as f32 * 100.0;
-        assert_corners!(h, id, (x, 0), (x + 100.0, 200));
-    }
-}
-
-/// The same space, unevenly nested: weights carried up mean a share is a
-/// share of the whole, not of whatever branch a widget happens to sit in.
-#[test]
-fn an_uneven_nesting_still_gives_every_share_the_same_length() {
-    let mut h = Harness::new((400, 200));
-    let (a, b, c, d) = (
-        rect(Color::RED).add(&mut h.rsc),
-        rect(Color::BLUE).add(&mut h.rsc),
-        rect(Color::GREEN).add(&mut h.rsc),
-        rect(Color::WHITE).add(&mut h.rsc),
-    );
-    let one = (a,).span(Dir::RIGHT).add(&mut h.rsc);
-    let three = (b, c, d).span(Dir::RIGHT).add(&mut h.rsc);
-    h.set_root((one, three).span(Dir::RIGHT));
-
-    for (i, id) in [a, b, c, d].into_iter().enumerate() {
-        let x = i as f32 * 100.0;
-        assert_corners!(h, id, (x, 0), (x + 100.0, 200));
-    }
-}
-
-/// Where the shader puts an edge: the two parts of a scalar are floored
-/// apart, so a fraction and a pixel offset snap independently.
-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 dim = h.size().axis(axis);
-    let edge = |s: UiScalar| (s.rel * dim).floor() + s.px.floor();
-    let span = region.axis(axis);
-    (edge(span.start), edge(span.end))
-}
-
-fn hairline(h: &mut Harness, marks: &mut Vec<WidgetId>) -> StrongWidget {
-    let inner = rect(Color::RED).add_strong(&mut h.rsc);
-    let mark = SetSize {
-        inner,
-        x: Some(Len::px(1.0)),
-        y: None,
-    }
-    .add_strong(&mut h.rsc);
-    marks.push(mark.id());
-    mark
-}
-
-fn share(h: &mut Harness, inner: StrongWidget, ratio: f32) -> StrongWidget {
-    SetSize {
-        inner,
-        x: Some(Len::rest(ratio)),
-        y: None,
-    }
-    .add_strong(&mut h.rsc)
-}
-
-/// Shares in weights no binary fraction lands on, a padding on one branch
-/// and not the other, so an edge falls near an integer as often as it can.
-fn hairlines(h: &mut Harness, depth: usize, marks: &mut Vec<WidgetId>) -> StrongWidget {
-    let mut span = Span::empty(Dir::RIGHT);
-    if depth == 0 {
-        let left = rect(Color::BLUE).add_strong(&mut h.rsc);
-        let left = share(h, left, 3.0);
-        span.push(left);
-        let mark = hairline(h, marks);
-        span.push(mark);
-        let right = rect(Color::BLUE).add_strong(&mut h.rsc);
-        let right = share(h, right, 7.0);
-        span.push(right);
-        return span.add_strong(&mut h.rsc);
-    }
-    let first = hairlines(h, depth - 1, marks);
-    let first = share(h, first, 3.0);
-    span.push(first);
-    let second = hairlines(h, depth - 1, marks);
-    let second = Pad {
-        padding: Padding {
-            left: 3.0,
-            right: 7.0,
-            top: 0.0,
-            bottom: 0.0,
-        },
-        inner: second,
-    }
-    .add_strong(&mut h.rsc);
-    let second = share(h, second, 5.0);
-    span.push(second);
-    span.add_strong(&mut h.rsc)
-}
-
-/// A one-pixel line is a pixel wherever it is drawn. Both edges of a fixed
-/// length share their box's fraction, so composing the chain moves them
-/// together and the shader's `floor` cannot round the pixel between them
-/// away -- only shift it. A separator that disappeared at one window size
-/// would be a defect no size comparison catches.
-#[test]
-fn a_one_pixel_line_keeps_its_pixel_through_a_chain() {
-    let mut h = Harness::new((1920, 1200));
-    let mut marks = Vec::new();
-    let root = hairlines(&mut h, 4, &mut marks);
-    h.state.set_root(root);
-    h.frame();
-    assert_eq!(marks.len(), 16);
-
-    for size in [(1920, 1200), (1919, 1201), (997, 1003), (1367, 733)] {
-        h.resize(size);
-        h.frame();
-        for mark in &marks {
-            let (start, end) = drawn_edges(&h, *mark, Axis::X);
-            assert_eq!(end - start, 1.0, "at {size:?}, mark {mark:?}");
-        }
-    }
-}
-
-/// A span short of room takes it from its shares, which go to nothing and
-/// then to nothing wider; the fixed lengths between them keep their pixels.
-/// Collapsing those to make room would delete a separator the caller asked
-/// for, which is worse than overflowing.
-#[test]
-fn a_span_out_of_room_shrinks_its_shares_and_not_its_fixed_lengths() {
-    let mut h = Harness::new((400, 20));
-    let mut marks = Vec::new();
-    let mut span = Span::empty(Dir::RIGHT);
-    for _ in 0..3 {
-        let share_of = rect(Color::BLUE).add_strong(&mut h.rsc);
-        let share_of = share(&mut h, share_of, 1.0);
-        span.push(share_of);
-        let mark = hairline(&mut h, &mut marks);
-        span.push(mark);
-    }
-    let root = span.add_strong(&mut h.rsc);
-    h.state.set_root(root);
-    h.frame();
-
-    for width in [400, 10, 3, 1] {
-        h.resize((width, 20));
-        h.frame();
-        for mark in &marks {
-            let (start, end) = drawn_edges(&h, *mark, Axis::X);
-            assert_eq!(end - start, 1.0, "at {width} wide, mark {mark:?}");
-        }
-    }
-}

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
@@ -30,7 +30,7 @@ fn a_selected_widget_retains_its_layout_events() {
     diagnostics::clear_traced_widgets();
     let _ = diagnostics::take();
     let mut harness = Harness::new((400, 200));
-    let leaf = rect(Color::RED).add(&mut harness.rsc);
+    let leaf = rect(Color::RED).region_node().add(&mut harness.rsc);
     let other = rect(Color::BLUE).add(&mut harness.rsc);
     let root = (leaf, other).span(Dir::RIGHT).add(&mut harness.rsc);
     harness.set_root(root);
@@ -46,7 +46,7 @@ fn a_selected_widget_retains_its_layout_events() {
         report
             .traces()
             .iter()
-            .any(|event| matches!(event, TraceEvent::Placed { id, .. } if *id == leaf.id()))
+            .any(|event| matches!(event, TraceEvent::RegionNode { id, .. } if *id == leaf.id()))
     );
     assert!(
         report
@@ -92,9 +92,18 @@ fn trace_selected(tree: &Tree) {
 #[cfg(not(feature = "layout-diagnostics"))]
 fn trace_selected(_: &Tree) {}
 
+/// The shape a cost is measured on must not depend on what layout measured,
+/// or two commits are compared on two different trees. See `Edits`.
+fn rig_edits() -> Edits {
+    Edits {
+        fixed_branches: true,
+        ..Default::default()
+    }
+}
+
 fn warm(seed: u64, depth: usize) -> (Harness, Tree) {
     let mut harness = Harness::new(OUTPUT);
-    let (root, tree) = grow(&mut harness.rsc, seed, depth, &Edits::default());
+    let (root, tree) = grow(&mut harness.rsc, seed, depth, &rig_edits());
     harness.state.root = Some(root);
     harness.frame();
     println!(
@@ -125,6 +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);
@@ -173,7 +185,7 @@ fn layout_cost() {
 
     if selected("cold") {
         let mut harness = Harness::new(OUTPUT);
-        let (root, tree) = grow(&mut harness.rsc, seed, depth, &Edits::default());
+        let (root, tree) = grow(&mut harness.rsc, seed, depth, &rig_edits());
         harness.state.root = Some(root);
         println!(
             "fixture: seed {seed}, depth {depth}, {} widgets",
@@ -216,7 +228,11 @@ fn layout_cost() {
         trace_selected(&tree);
         let sized = tree.sized[0];
         run("size", frames, &mut harness, move |harness, frame| {
-            harness.rsc[sized].x = Some(Len::px(100.0 + (frame % 2) as f32 * 40.0));
+            let len = LayoutLen::px(100.0 + (frame % 2) as f32 * 40.0);
+            harness
+                .rsc
+                .widgets_mut()
+                .set_size_rule(sized, Axis::X, SizeRule::Exact(len));
         });
     }
 

tests/layout_dump.rs

@@ -0,0 +1,42 @@
+//! Prints where a cold layout puts every widget of many grown trees, so two
+//! commits can be compared on cold layout alone. The warm/cold oracle cannot
+//! see a change that moves cold layout, since both of its sides move; this
+//! can, by diffing its output across the change:
+//!
+//!     IRIS_DUMP_SEEDS=400 IRIS_DUMP_DEPTH=5 cargo test --release \
+//!       --test layout_dump -- --ignored --nocapture > /tmp/before.txt
+//!
+//! then the same after, and `diff` the two. A line is one widget: the seed,
+//! its index in creation order, and its box in window pixels, or `-` where
+//! it is not drawn.
+
+use iris::harness::Harness;
+use iris::random::{Edits, grow};
+
+fn env<T: std::str::FromStr>(name: &str, fallback: T) -> T {
+    std::env::var(name)
+        .ok()
+        .and_then(|value| value.parse().ok())
+        .unwrap_or(fallback)
+}
+
+#[test]
+#[ignore = "a dump to diff across commits, not a check"]
+fn every_cold_layout_is_printed() {
+    let seeds = env("IRIS_DUMP_SEEDS", 400_u64);
+    let depth = env("IRIS_DUMP_DEPTH", 5_usize);
+    let mut out = String::new();
+    for seed in 1..=seeds {
+        let mut harness = Harness::new((1920.0, 1200.0));
+        let (root, tree) = grow(&mut harness.rsc, seed, depth, &Edits::default());
+        harness.state.root = Some(root);
+        harness.frame();
+        for (index, id) in tree.ids.iter().enumerate() {
+            match harness.region(id) {
+                Some(region) => out.push_str(&format!("{seed} {index} {region:?}\n")),
+                None => out.push_str(&format!("{seed} {index} -\n")),
+            }
+        }
+    }
+    print!("{out}");
+}

tests/replace_cost.rs

@@ -1,4 +1,4 @@
-//! What re-placing a subtree costs per frame, as a load for a counter rather
+//! What remapping a subtree costs per frame, as a load for a counter rather
 //! than a check. A span of 200 fixed-height rows, five primitives each, with
 //! the row above them changing height every frame, so every row below is
 //! offered a box the same shape somewhere else.
@@ -6,9 +6,7 @@
 //!     cargo test --release --test replace_cost -- --ignored
 //!     perf stat -e instructions:u target/release/.../replace_cost-* --ignored
 //!
-//! Wall time is the wrong number here; see `draw_cost.rs`. Measured on
-//! 2026-09-14 at 1.98M instructions per frame, against 2.38M for rewriting
-//! each row's regions instead and 7.13M for redrawing them.
+//! Wall time is the wrong number here; see `draw_cost.rs`.
 
 use iris::harness::Harness;
 use iris::prelude::*;
@@ -18,7 +16,7 @@ const FRAMES: usize = 200;
 
 #[test]
 #[ignore = "measurement, not a check"]
-fn replacing_rows_every_frame() {
+fn remapping_rows_every_frame() {
     let mut h = Harness::new((1920, 1200));
     let first = rect(Color::RED).height(40).add(&mut h.rsc);
     let mut span = Span::empty(Dir::DOWN);
@@ -37,7 +35,7 @@ fn replacing_rows_every_frame() {
     }
     h.set_root(span);
     for i in 0..FRAMES {
-        h.rsc[first].y = Some(Len::px(40.0 + (i % 2) as f32));
+        h.set_len(first, Axis::Y, 40.0 + (i % 2) as f32);
         h.frame();
     }
 }

tests/retained.rs

@@ -1,471 +0,0 @@
-//! What a second frame draws again, and what it keeps.
-
-use std::{cell::Cell, rc::Rc};
-
-use iris::harness::{Harness, assert_corners};
-use iris::prelude::*;
-
-/// A leaf that counts its draws and reports whatever size it is given, so a
-/// test can see what the retained path skipped.
-struct Counted {
-    draws: Rc<Cell<usize>>,
-    size: Size,
-    dependence: OnResize,
-}
-
-impl Widget for Counted {
-    fn draw(&mut self, _: &mut Painter) -> Size {
-        self.draws.set(self.draws.get() + 1);
-        self.size
-    }
-
-    fn on_resize(&self, _: Axis) -> OnResize {
-        self.dependence
-    }
-}
-
-struct Counts(Rc<Cell<usize>>);
-
-impl Counts {
-    fn get(&self) -> usize {
-        self.0.get()
-    }
-}
-
-fn counted(h: &mut Harness, size: Size, dependence: OnResize) -> (WeakWidget<Counted>, Counts) {
-    let draws = Rc::new(Cell::new(0));
-    let id = Counted {
-        draws: draws.clone(),
-        size,
-        dependence,
-    }
-    .add(&mut h.rsc);
-    (id, Counts(draws))
-}
-
-/// A fixed-width leaf beside one that takes the rest, so changing the first
-/// hands the second a different box without the output changing.
-fn pair(h: &mut Harness, rest: OnResize) -> (WeakWidget<Counted>, Counts, WidgetId) {
-    let (first, _) = counted(h, Size::from((100, 200)), OnResize::Translate);
-    let (second, draws) = counted(h, Size::REST, rest);
-    h.set_root((first, second).span(Dir::RIGHT));
-    (first, draws, second.id())
-}
-
-#[test]
-fn a_leaf_that_ignores_its_box_is_not_drawn_again_when_the_box_changes() {
-    let mut h = Harness::new((400, 200));
-    let (first, draws, second) = pair(&mut h, OnResize::Scale);
-    let settled = draws.get();
-    assert_corners!(h, second, (100, 0), (400, 200));
-
-    h.rsc[first].size = Size::from((150, 200));
-    h.frame();
-
-    assert_eq!(
-        draws.get(),
-        settled,
-        "its box is a field to write, not a reason to draw"
-    );
-    assert_corners!(h, second, (150, 0), (400, 200));
-}
-
-#[test]
-fn a_leaf_that_depends_on_its_box_is_drawn_again_when_the_box_changes() {
-    let mut h = Harness::new((400, 200));
-    let (first, draws, second) = pair(&mut h, OnResize::Redraw);
-    let settled = draws.get();
-
-    h.rsc[first].size = Size::from((150, 200));
-    h.frame();
-
-    // The preceding fixed child makes the remaining box this child's real
-    // box, so measuring it also draws it in its final place.
-    assert_eq!(draws.get(), settled + 1);
-    assert_corners!(h, second, (150, 0), (400, 200));
-}
-
-#[test]
-fn a_span_child_that_declares_its_length_is_drawn_once() {
-    let mut h = Harness::new((400, 200));
-    let (told, told_draws) = counted(&mut h, Size::from((100, 200)), OnResize::Translate);
-    let (asked, asked_draws) = counted(&mut h, Size::from((100, 200)), OnResize::Translate);
-    // The span takes one child's length from its hint and has to draw the
-    // other to find out, so only the second is drawn before it is placed.
-    let hinted = told.width(100).add(&mut h.rsc);
-    h.set_root((hinted, asked).span(Dir::RIGHT));
-
-    assert_eq!(told_draws.get(), 1);
-    assert_eq!(
-        asked_draws.get(),
-        2,
-        "drawn to be measured, then again to be placed"
-    );
-}
-
-#[test]
-fn a_span_relays_out_when_a_child_it_measured_changes() {
-    let mut h = Harness::new((400, 200));
-    let (first, _, second) = pair(&mut h, OnResize::Translate);
-
-    h.rsc[first].size = Size::from((250, 200));
-    h.frame();
-
-    assert_corners!(h, first, (0, 0), (250, 200));
-    assert_corners!(h, second, (250, 0), (400, 200));
-}
-
-#[test]
-fn a_repaint_that_keeps_its_size_does_not_relay_out() {
-    let mut h = Harness::new((400, 200));
-    let (first, draws) = counted(&mut h, Size::from((100, 200)), OnResize::Translate);
-    let (second, _) = counted(&mut h, Size::REST, OnResize::Translate);
-    h.set_root((first, second).span(Dir::RIGHT));
-    let settled = draws.get();
-
-    // Taking mutable access is the ordinary content-change signal. This
-    // widget returns the same size, so the parent has nothing to lay out.
-    let _ = h.rsc.widgets_mut().get_dyn_mut(first.id());
-    h.frame();
-
-    assert_eq!(draws.get(), settled + 1);
-}
-
-#[test]
-fn a_placed_child_survives_the_next_frame() {
-    let mut h = Harness::new((400, 200));
-    // Both children declare a length, so the span places them from their hints
-    // rather than drawing them to find out.
-    let top = rect(Color::RED).height(80).add(&mut h.rsc);
-    let bottom = rect(Color::BLUE).height(120).add(&mut h.rsc);
-    h.set_root((top, bottom).span(Dir::DOWN));
-
-    h.rsc.widgets_mut().get_dyn_mut(top.id());
-    h.frame();
-
-    assert_corners!(h, top, (0, 0), (400, 80));
-    assert_corners!(h, bottom, (0, 80), (400, 200));
-}
-
-/// Lays its child out from the hint alone, never reading what it drew.
-struct FromHint {
-    inner: StrongWidget,
-}
-
-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);
-        Size::REST
-    }
-}
-
-#[test]
-fn a_parent_that_only_read_a_hint_relays_out_when_the_hint_changes() {
-    let mut h = Harness::new((400, 200));
-    let inner = rect(Color::RED).height(80).add(&mut h.rsc);
-    let parent = FromHint {
-        inner: inner.add_strong(&mut h.rsc),
-    }
-    .add(&mut h.rsc);
-    h.set_root(parent);
-    assert_corners!(h, inner, (0, 0), (400, 80));
-
-    h.rsc[inner].y = Some(Len::px(120));
-    h.frame();
-
-    assert_corners!(h, inner, (0, 0), (400, 120));
-}
-
-/// Reads the output's size, which nothing but its own draw can put right.
-struct ReadsOutput {
-    draws: Rc<Cell<usize>>,
-}
-
-impl Widget for ReadsOutput {
-    fn draw(&mut self, painter: &mut Painter) -> Size {
-        self.draws.set(self.draws.get() + 1);
-        Size::px(painter.output_size() / 4.0)
-    }
-}
-
-/// Reads the output across one axis only, and says so: its drawing follows
-/// a taller box on its own, so only a wider one is worth a draw.
-struct ReadsWidth {
-    draws: Rc<Cell<usize>>,
-}
-
-impl Widget for ReadsWidth {
-    fn draw(&mut self, painter: &mut Painter) -> Size {
-        self.draws.set(self.draws.get() + 1);
-        Size::px((painter.output_len(Axis::X) / 4.0, 20.0).into())
-    }
-
-    fn on_resize(&self, axis: Axis) -> OnResize {
-        match axis {
-            Axis::X => OnResize::Redraw,
-            Axis::Y => OnResize::Scale,
-        }
-    }
-}
-
-#[test]
-fn a_resize_does_not_redraw_what_the_shader_can_move() {
-    let mut h = Harness::new((400, 200));
-    let (leaf, draws) = counted(&mut h, Size::REST, OnResize::Scale);
-    h.set_root(leaf);
-    let settled = draws.get();
-
-    h.resize((800, 100));
-    assert!(h.needs_redraw());
-    h.frame();
-
-    assert_eq!(
-        draws.get(),
-        settled,
-        "a scaling drawing follows its box, and the output is one"
-    );
-    assert_corners!(h, leaf, (0, 0), (800, 100));
-}
-
-/// The output is the root of the box chain, so a resize is a box that changed
-/// length and `OnResize` answers for it -- there is not a second rule for the
-/// window. A drawing that does not scale is redrawn whichever box moved.
-#[test]
-fn a_resize_redraws_what_does_not_scale() {
-    let mut h = Harness::new((400, 200));
-    let (leaf, draws) = counted(&mut h, Size::REST, OnResize::Redraw);
-    h.set_root(leaf);
-    let settled = draws.get();
-
-    h.resize((800, 100));
-    h.frame();
-
-    assert_eq!(draws.get(), settled + 1, "its box is a different length");
-    assert_corners!(h, leaf, (0, 0), (800, 100));
-}
-
-#[test]
-fn a_resize_redraws_what_read_the_output() {
-    let mut h = Harness::new((400, 200));
-    let draws = Rc::new(Cell::new(0));
-    let leaf = ReadsOutput {
-        draws: draws.clone(),
-    }
-    .add(&mut h.rsc);
-    h.set_root(leaf);
-    let settled = draws.get();
-
-    h.resize((800, 100));
-    h.frame();
-
-    assert_eq!(draws.get(), settled + 1);
-}
-
-#[test]
-fn a_resize_only_redraws_read_output_axes() {
-    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);
-    let settled = draws.get();
-
-    h.resize((400, 300));
-    h.frame();
-    assert_eq!(draws.get(), settled, "height was never read");
-
-    h.resize((800, 300));
-    h.frame();
-    assert_eq!(draws.get(), settled + 1, "width changes its answer");
-}
-
-#[test]
-fn subpixel_resize_changes_accumulate_from_the_last_layout() {
-    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);
-    let settled = draws.get();
-
-    for width in [400.02, 400.04, 400.05] {
-        h.resize((width, 200.0));
-        h.frame();
-        assert_eq!(draws.get(), settled);
-    }
-
-    h.resize((400.06, 200.0));
-    h.frame();
-    assert_eq!(draws.get(), settled + 1);
-}
-
-#[test]
-fn subpixel_box_changes_accumulate_from_the_last_draw() {
-    let mut h = Harness::new((400, 200));
-    let (first, draws, _) = pair(&mut h, OnResize::Redraw);
-    let settled = draws.get();
-
-    for width in [100.02, 100.04, 100.05] {
-        h.rsc[first].size.x = Len::px(width);
-        h.frame();
-        assert_eq!(draws.get(), settled);
-    }
-
-    h.rsc[first].size.x = Len::px(100.06);
-    h.frame();
-    assert_eq!(draws.get(), settled + 1);
-}
-
-#[test]
-fn reporting_the_same_output_size_does_not_start_a_resize() {
-    let mut h = Harness::new((400, 200));
-    let draws = Rc::new(Cell::new(0));
-    let leaf = ReadsOutput {
-        draws: draws.clone(),
-    }
-    .add(&mut h.rsc);
-    h.set_root(leaf);
-    let settled = draws.get();
-
-    h.resize((400, 200));
-
-    assert!(!h.needs_redraw());
-    h.frame();
-    assert_eq!(draws.get(), settled);
-}
-
-#[test]
-fn narrowing_the_output_reflows_text_and_relays_out_around_it() {
-    let mut h = Harness::new((600, 400));
-    let para = wtext(
-        "Wrapping shapes one source into as many lines as its container leaves \
-        room for, so the height of a paragraph is an answer rather than a setting.",
-    )
-    .size(20)
-    .wrap(true)
-    .add(&mut h.rsc);
-    let below = rect(Color::RED).add(&mut h.rsc);
-    h.set_root((para, below).span(Dir::DOWN));
-    let top = h.region(&below).expect("drew nothing").top_left.y;
-
-    h.resize((300, 400));
-    h.frame();
-
-    let lower = h.region(&below).expect("drew nothing").top_left.y;
-    assert!(lower > top, "same words, half the width: {top} -> {lower}");
-}
-
-#[test]
-fn a_change_two_levels_under_its_reader_still_reaches_it() {
-    let mut h = Harness::new((400, 400));
-    // Every wrapper up to the outer pad read the size below it, so the outer
-    // pad is what draws again -- and the span it hands the box to is the same
-    // size as before, which is what lets a draw reuse its way past the leaf.
-    let (leaf, _) = counted(&mut h, Size::px((100, 100).into()), OnResize::Redraw);
-    let padded = leaf.pad(10).add(&mut h.rsc);
-    let below = rect(Color::RED).add(&mut h.rsc);
-    h.set_root((padded, below).span(Dir::DOWN).pad(12));
-    assert_corners!(h, below, (12, 132), (388, 388));
-
-    h.rsc[leaf].size = Size::px((100, 200).into());
-    h.frame();
-
-    assert_corners!(h, below, (12, 232), (388, 388));
-}
-
-/// Claims its drawing survives its box changing length, and has a child so
-/// that the walk looking for what does not has one to reach.
-struct Stretchy {
-    inner: StrongWidget,
-    draws: Rc<Cell<usize>>,
-}
-
-impl Widget for Stretchy {
-    fn draw(&mut self, painter: &mut Painter) -> Size {
-        self.draws.set(self.draws.get() + 1);
-        painter.widget(&self.inner).size()
-    }
-
-    fn on_resize(&self, _: Axis) -> OnResize {
-        OnResize::Scale
-    }
-}
-
-#[test]
-fn stretching_a_subtree_carries_the_children_in_it() {
-    let mut h = Harness::new((400, 400));
-    let first = rect(Color::RED).height(40).add(&mut h.rsc);
-    let inner = rect(Color::BLUE).add(&mut h.rsc);
-    let draws = Rc::new(Cell::new(0));
-    let outer = Stretchy {
-        inner: inner.add_strong(&mut h.rsc),
-        draws: draws.clone(),
-    }
-    .add(&mut h.rsc);
-    h.set_root((first, outer).span(Dir::DOWN));
-    let settled = draws.get();
-    assert_corners!(h, inner, (0, 40), (400, 400));
-
-    h.rsc[first].y = Some(Len::px(80));
-    h.frame();
-
-    assert_eq!(
-        draws.get(),
-        settled,
-        "its drawing follows its box, rather than being made again"
-    );
-    assert_corners!(h, outer, (0, 80), (400, 400));
-    assert_corners!(h, inner, (0, 80), (400, 400));
-}
-
-#[test]
-fn a_widened_row_redraws_what_reads_its_length_and_nothing_else() {
-    let mut h = Harness::new((400, 200));
-    // What a transcript row is: something whose shaping depends on the width
-    // it is given, beside something that only has to be the right shape.
-    let (wraps, wrap_draws) = counted(&mut h, Size::REST, OnResize::Redraw);
-    let (backing, back_draws) = counted(&mut h, Size::REST, OnResize::Scale);
-    let row = (backing, wraps).span(Dir::RIGHT).add(&mut h.rsc);
-    let bar = rect(Color::RED).width(100).add(&mut h.rsc);
-    h.set_root((bar, row).span(Dir::RIGHT));
-    let (settled_wrap, settled_back) = (wrap_draws.get(), back_draws.get());
-
-    h.rsc[bar].x = Some(Len::px(200));
-    h.frame();
-
-    // The span reads every child's size, so redrawing one takes the span
-    // with it -- and the span then measures and places the redrawn child.
-    assert!(wrap_draws.get() > settled_wrap, "reads the width it got");
-    assert_eq!(back_draws.get(), settled_back, "only has to be the shape");
-    assert_corners!(h, backing, (200, 0), (300, 200));
-    assert_corners!(h, wraps, (300, 0), (400, 200));
-}
-
-#[test]
-fn a_declared_length_child_is_not_redrawn_when_the_box_around_it_grows() {
-    let mut h = Harness::new((400, 200));
-    // Its box is a fixed 80 wherever the row's edges end up, so drawing it
-    // again would be for a width it does not have. The declared width is what
-    // lets the span say that without drawing it: a width the span learnt by
-    // drawing the child in its own box is only an answer for that box.
-    let (counter, draws) = counted(&mut h, Size::from((80, 200)), OnResize::Redraw);
-    let fixed = counter.width(80).add(&mut h.rsc);
-    let (rest, _) = counted(&mut h, Size::REST, OnResize::Scale);
-    let row = (fixed, rest).span(Dir::RIGHT).add(&mut h.rsc);
-    let bar = rect(Color::RED).width(100).add(&mut h.rsc);
-    h.set_root((bar, row).span(Dir::RIGHT));
-    let settled = draws.get();
-
-    h.rsc[bar].x = Some(Len::px(200));
-    h.frame();
-
-    assert_eq!(draws.get(), settled, "its own length did not change");
-    assert_corners!(h, fixed, (200, 0), (280, 200));
-}

tests/revision_cost.rs

@@ -94,7 +94,11 @@ fn build(h: &mut Harness, rows: usize) -> Vec<WidgetId> {
     let mut col = Span::empty(Dir::DOWN);
     for _ in 0..rows {
         let mut row = Span::empty(Dir::RIGHT);
-        row.push(rect(Color::RED).width(Len::px(40.0)).add_strong(&mut h.rsc));
+        row.push(
+            rect(Color::RED)
+                .width(LayoutLen::px(40.0))
+                .add_strong(&mut h.rsc),
+        );
         let mut body = Span::empty(Dir::DOWN);
         let para = wtext(words(&mut rng, 12, 52))
             .size(16)

tests/scenario/mod.rs

@@ -0,0 +1,494 @@
+//! The scenarios both fuzzers run, over the tree a [`Plan`] describes.
+//!
+//! One implementation rather than two. The oracle grew its trees from a seed
+//! and the shrinker grew its own, with every scenario written out on each
+//! side, so a failure the oracle found could not be handed to the shrinker:
+//! there was no tree to pass it, only a seed, and a seed cannot be made
+//! smaller. Both take a plan now, so whatever finds a counterexample can also
+//! reduce it.
+//!
+//! Each target compiles this for itself, so what only one of them calls is
+//! dead code in the other.
+#![allow(dead_code)]
+
+use iris::harness::Harness;
+use iris::prelude::*;
+use iris::random::{Aligns, Edits, Kind, Lens, Plan, Rng, SpanEdit, Tree, build};
+use std::collections::HashMap;
+
+/// A seed per thread but one, since a seed grows, lays out and drops its tree
+/// alone. A failing seed still shrinks and panics on its own thread.
+pub fn over_seeds(seeds: Vec<u64>, run: impl Fn(u64) + Sync) {
+    let threads =
+        std::thread::available_parallelism().map_or(1, |n| n.get().saturating_sub(1).max(1));
+    let chunk = seeds.len().div_ceil(threads).max(1);
+    std::thread::scope(|scope| {
+        for part in seeds.chunks(chunk) {
+            let run = &run;
+            scope.spawn(move || part.iter().for_each(|&seed| run(seed)));
+        }
+    });
+}
+
+pub fn env<T: std::str::FromStr>(name: &str, fallback: T) -> T {
+    std::env::var(name)
+        .ok()
+        .and_then(|v| v.parse().ok())
+        .unwrap_or(fallback)
+}
+
+/// The window a tree is grown in, and the one a resize takes it to.
+const OUTER: (f32, f32) = (1920.0, 1200.0);
+const INNER: (f32, f32) = (640.0, 900.0);
+const STILL: (f32, f32) = (900.0, 1200.0);
+
+/// 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.
+#[derive(Clone, Copy, Debug, PartialEq)]
+pub enum Shuffle {
+    /// Every other child, so what is left is interleaved with what went.
+    EveryOther,
+    /// Everything but the first, which is the last step before empty.
+    AllButFirst,
+    /// Three more on the end at once.
+    AddThree,
+    /// The first out and three more on, so the count moves both ways.
+    SwapForThree,
+    /// One out of the middle and one on the end.
+    TradeOne,
+}
+
+impl Shuffle {
+    fn of(self, grown: usize) -> SpanEdit {
+        let all = |step: usize, from: usize| (from..grown).step_by(step).collect();
+        match self {
+            Self::EveryOther => SpanEdit {
+                detach: all(2, 0),
+                attach: 0,
+            },
+            Self::AllButFirst => SpanEdit {
+                detach: all(1, 1),
+                attach: 0,
+            },
+            Self::AddThree => SpanEdit {
+                detach: Vec::new(),
+                attach: 3,
+            },
+            Self::SwapForThree => SpanEdit {
+                detach: vec![0],
+                attach: 3,
+            },
+            Self::TradeOne => SpanEdit {
+                detach: vec![grown / 2],
+                attach: 1,
+            },
+        }
+    }
+}
+
+/// What a warm tree is put through before it is compared with a cold one
+/// grown the way it was left.
+#[derive(Clone, Copy, Debug, PartialEq)]
+pub enum Case {
+    /// Nothing changes, so no box may either. What this exercises is the
+    /// order a frame settles a dirty set in.
+    Repaint,
+    /// Every fifth widget rather than all of them: marking all of them
+    /// redraws the whole tree, which is a cold start reached the long way,
+    /// where the mixed case leaves a redrawn subtree beside a retained one.
+    RepaintSome,
+    Resize,
+    ResizeRepaint,
+    /// A resize and then a size change, so a retained answer is asked to
+    /// survive two different kinds of invalidation in a row.
+    ResizeSize,
+    /// A size change and then a resize, which is the other order and not the
+    /// same test: a length answered as a fraction of one box and kept as a
+    /// fraction of another agrees at the size it was changed at and parts
+    /// from it at every other one.
+    SizeResize,
+    /// A few declared sizes.
+    Size,
+    /// Every declared size at once, so every reader of a size has a changed
+    /// descendant in the same frame and the whole dirty set settles together.
+    EverySize,
+    Align,
+    /// Giving a widget a movable region of its own, or taking it away, is a
+    /// structural change: every primitive under it changes which chain
+    /// resolves it.
+    RegionNode,
+    /// The same children in a different order, which moves every one of them
+    /// without changing what any of them is.
+    Reorder,
+    Shuffle(Shuffle),
+}
+
+pub const ALL: [Case; 16] = [
+    Case::Repaint,
+    Case::RepaintSome,
+    Case::Resize,
+    Case::ResizeRepaint,
+    Case::ResizeSize,
+    Case::SizeResize,
+    Case::Size,
+    Case::EverySize,
+    Case::Align,
+    Case::RegionNode,
+    Case::Reorder,
+    Case::Shuffle(Shuffle::EveryOther),
+    Case::Shuffle(Shuffle::AllButFirst),
+    Case::Shuffle(Shuffle::AddThree),
+    Case::Shuffle(Shuffle::SwapForThree),
+    Case::Shuffle(Shuffle::TradeOne),
+];
+
+impl Case {
+    /// The name `CASE` selects it by, and the one a failure prints.
+    pub fn name(self) -> &'static str {
+        match self {
+            Self::Repaint => "repaint",
+            Self::RepaintSome => "repaint-some",
+            Self::Resize => "resize",
+            Self::ResizeRepaint => "resize-repaint",
+            Self::ResizeSize => "resize-size",
+            Self::SizeResize => "size-resize",
+            Self::Size => "size",
+            Self::EverySize => "every-size",
+            Self::Align => "align",
+            Self::RegionNode => "region-node",
+            Self::Reorder => "reorder",
+            Self::Shuffle(Shuffle::EveryOther) => "shuffle-every-other",
+            Self::Shuffle(Shuffle::AllButFirst) => "shuffle-all-but-first",
+            Self::Shuffle(Shuffle::AddThree) => "shuffle-add-three",
+            Self::Shuffle(Shuffle::SwapForThree) => "shuffle-swap-for-three",
+            Self::Shuffle(Shuffle::TradeOne) => "shuffle-trade-one",
+        }
+    }
+
+    pub fn named(name: &str) -> Option<Self> {
+        ALL.into_iter().find(|case| case.name() == name)
+    }
+
+    /// Grown in the first, compared in the second.
+    fn window(self) -> ((f32, f32), (f32, f32)) {
+        match self {
+            Self::Resize | Self::ResizeRepaint | Self::ResizeSize => (OUTER, INNER),
+            _ => (STILL, STILL),
+        }
+    }
+
+    /// The window the warm tree is taken to after the change, where the case
+    /// is about what the change left behind rather than about the change.
+    fn then_resize(self) -> Option<(f32, f32)> {
+        match self {
+            Self::SizeResize => Some(INNER),
+            _ => None,
+        }
+    }
+}
+
+fn mark(warm: &mut Harness, tree: &Tree, step: usize) {
+    for &id in tree.ids.iter().step_by(step) {
+        warm.rsc.widgets_mut().get_dyn_mut(id);
+    }
+}
+
+fn a_len(rng: &mut Rng) -> Option<LayoutLen> {
+    Some(LayoutLen::px(20.0 + rng.below(180) as f32))
+}
+
+fn resize_one(warm: &mut Harness, tree: &Tree, idx: usize, rng: &mut Rng) -> Lens {
+    let lens = [a_len(rng), a_len(rng)];
+    warm.rsc
+        .widgets_mut()
+        .set_size_rules(tree.sized[idx], lens[0], lens[1]);
+    lens
+}
+
+fn realign_one(warm: &mut Harness, tree: &Tree, idx: usize, rng: &mut Rng) -> Aligns {
+    let side = |rng: &mut Rng| match rng.below(4) {
+        0 => None,
+        1 => Some(AxisAlign::NEG),
+        2 => Some(AxisAlign::CENTER),
+        _ => Some(AxisAlign::POS),
+    };
+    let align = [side(rng), side(rng)];
+    let id = tree.aligned[idx];
+    for (axis, align) in [Axis::X, Axis::Y].into_iter().zip(align) {
+        warm.rsc
+            .widgets_mut()
+            .set_alignment(id, axis, align.unwrap_or_default());
+    }
+    align
+}
+
+/// Every span's children in a different order, said both to the warm tree and
+/// to the plan the cold one is grown from.
+fn reorder(warm: &mut Harness, tree: &Tree, plan: &Plan) -> Plan {
+    for span in &tree.spans {
+        let children = &mut warm.rsc[span.id].children;
+        if !children.is_empty() {
+            children.rotate_left(1);
+        }
+    }
+    let mut out = plan.clone();
+    out.walk_mut(&mut |node| {
+        if let Kind::Span { order, .. } = &mut node.kind
+            && !order.is_empty()
+        {
+            order.rotate_left(1);
+        }
+    });
+    out
+}
+
+/// Applies `shuffle` to every third span. What it takes out is given back to
+/// the span's spares: the last share of a widget must outlive the comparison,
+/// or its id is handed to something else and the two trees stop lining up.
+fn reshuffle(warm: &mut Harness, tree: &mut Tree, shuffle: Shuffle) -> HashMap<usize, SpanEdit> {
+    let mut edits = HashMap::new();
+    for (idx, span) in tree.spans.iter_mut().enumerate().step_by(3) {
+        let edit = shuffle.of(span.grown);
+        let mut take = edit.detach.clone();
+        take.sort_unstable();
+        let children = &mut warm.rsc[span.id].children;
+        // Highest first, so an index means the same child however many of its
+        // neighbours are going too.
+        for j in take.into_iter().rev() {
+            if j < children.len() {
+                span.spares.push(children.remove(j));
+            }
+        }
+        let attach = edit.attach.min(span.spares.len());
+        let moved: Vec<_> = span.spares.drain(..attach).collect();
+        warm.rsc[span.id].children.extend(moved);
+        edits.insert(idx, edit);
+    }
+    edits
+}
+
+/// Changes the warm tree and answers with the plan a cold tree grown that way
+/// comes from. Each arm settles its own frame, so a case that changes nothing
+/// does not get a second one that could settle what the first left.
+fn change(case: Case, warm: &mut Harness, tree: &mut Tree, plan: &Plan, rng: &mut Rng) -> Plan {
+    let some_sizes = |warm: &mut Harness, tree: &Tree, rng: &mut Rng| {
+        let mut sizes = HashMap::new();
+        for _ in 0..4 {
+            if tree.sized.is_empty() {
+                break;
+            }
+            let idx = rng.below(tree.sized.len());
+            sizes.insert(idx, resize_one(warm, tree, idx, rng));
+        }
+        sizes
+    };
+    let edits = match case {
+        Case::Resize => return plan.clone(),
+        Case::Repaint | Case::ResizeRepaint => {
+            mark(warm, tree, 1);
+            warm.frame();
+            return plan.clone();
+        }
+        Case::RepaintSome => {
+            mark(warm, tree, 5);
+            warm.frame();
+            return plan.clone();
+        }
+        Case::Reorder => {
+            let out = reorder(warm, tree, plan);
+            warm.frame();
+            return out;
+        }
+        Case::Size | Case::ResizeSize | Case::SizeResize => Edits {
+            sizes: some_sizes(warm, tree, rng),
+            ..Default::default()
+        },
+        Case::EverySize => Edits {
+            sizes: (0..tree.sized.len())
+                .map(|idx| (idx, resize_one(warm, tree, idx, rng)))
+                .collect(),
+            ..Default::default()
+        },
+        Case::Align => Edits {
+            aligns: (0..tree.aligned.len())
+                .step_by(3)
+                .map(|idx| (idx, realign_one(warm, tree, idx, rng)))
+                .collect(),
+            ..Default::default()
+        },
+        Case::RegionNode => {
+            let mut nodes = HashMap::new();
+            for idx in (0..tree.nodes.len()).step_by(2) {
+                let id = tree.nodes[idx];
+                let take = !warm.rsc.widgets().is_region_node(id);
+                warm.rsc.widgets_mut().set_region_node(id, take);
+                nodes.insert(idx, take);
+            }
+            Edits {
+                nodes,
+                ..Default::default()
+            }
+        }
+        Case::Shuffle(shuffle) => Edits {
+            spans: reshuffle(warm, tree, shuffle),
+            ..Default::default()
+        },
+    };
+    warm.frame();
+    plan.edited(&edits)
+}
+
+/// What a widget was configured with, so a tree a fuzzer found can be written
+/// out by hand. A failure is a lead; the fast test that replaces it has to be
+/// buildable from what the failure printed.
+fn describe(id: WidgetId, h: &Harness) -> String {
+    let rules = h.rsc.widgets().size_rules(id);
+    let rule = |r: SizeRule| match r.exact() {
+        Some(len) => format!("{len}"),
+        None => "-".into(),
+    };
+    let align = h.rsc.widgets().alignment(id);
+    let side = |a: AxisAlign| {
+        if a == AxisAlign::NEG {
+            "neg".into()
+        } else if a == AxisAlign::CENTER {
+            "mid".into()
+        } else if a == AxisAlign::POS {
+            "pos".into()
+        } else {
+            format!("{:.2}", a.rel())
+        }
+    };
+    // A rule and an alignment are properties of whatever carries them, so
+    // they print with that widget rather than as widgets of their own.
+    let mut out = describe_widget(id, h);
+    if (rules.x, rules.y) != (SizeRule::Free, SizeRule::Free) {
+        out += &format!("[x:{},y:{}]", rule(rules.x), rule(rules.y));
+    }
+    if align != RegionAlign::default() {
+        out += &format!("@{},{}", side(align.x), side(align.y));
+    }
+    out
+}
+
+fn describe_widget(id: WidgetId, h: &Harness) -> String {
+    let label = h.rsc.widgets().label(id).to_string();
+    let Some(widget) = h.rsc.widgets().get_dyn(id) else {
+        return label;
+    };
+    let any: &dyn std::any::Any = widget;
+    if let Some(w) = any.downcast_ref::<Span>() {
+        let sign = if w.dir.sign == Sign::Neg { "-" } else { "+" };
+        return format!(
+            "Span{{dir:{:?}{sign},gap:{},n:{}}}",
+            w.dir.axis,
+            w.gap,
+            w.children.len()
+        );
+    }
+    if let Some(w) = any.downcast_ref::<Pad>() {
+        let p = &w.padding;
+        return format!(
+            "Pad{{l:{},r:{},t:{},b:{}}}",
+            p.left, p.right, p.top, p.bottom
+        );
+    }
+    if let Some(w) = any.downcast_ref::<Stack>() {
+        return format!("Stack{{n:{}}}", w.children.len());
+    }
+    label
+}
+
+/// One widget's layout as it stands: the frame its fractions resolved
+/// against, the box it was asked in, the box its drawing went in, and what
+/// it reported. In window units, which is what both trees are in.
+fn record(id: WidgetId, h: &Harness) -> String {
+    let active = &h.render.active[&id];
+    format!(
+        "frame {} ask {} box {} size {}",
+        active.frame, active.part, active.extent, active.size,
+    )
+}
+
+/// 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.
+pub fn diverges(plan: &Plan, case: Case, seed: u64) -> Option<String> {
+    let (start, end) = case.window();
+    let mut warm = Harness::new(start);
+    let (root, mut tree) = build(&mut warm.rsc, plan);
+    warm.state.root = Some(root);
+    // The frame that makes it warm: without it nothing is retained and the
+    // comparison is two cold starts agreeing with each other.
+    warm.frame();
+    if start != end {
+        warm.resize(end);
+        warm.frame();
+    }
+    let cold_plan = change(case, &mut warm, &mut tree, plan, &mut Rng::new(seed));
+    // Whatever the change left, seen at another window: an answer kept as a
+    // fraction of the wrong length is the same number of pixels where it was
+    // made and a different one everywhere else.
+    let end = match case.then_resize() {
+        Some(after) => {
+            warm.resize(after);
+            warm.frame();
+            after
+        }
+        None => end,
+    };
+
+    let mut cold = Harness::new(end);
+    let (root, cold_tree) = build(&mut cold.rsc, &cold_plan);
+    cold.state.root = Some(root);
+    cold.frame();
+
+    let places: HashMap<WidgetId, usize> = tree
+        .ids
+        .iter()
+        .enumerate()
+        .map(|(i, &id)| (id, i))
+        .collect();
+    let mut drawn = 0;
+    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 got == want {
+            continue;
+        }
+        // Where two trees disagree is rarely where the cause is, so the
+        // ancestry comes with it, marking the widgets that own a region.
+        let mut chain = Vec::new();
+        let mut records = Vec::new();
+        let mut at = Some(w);
+        while let Some(id) = at {
+            let active = &warm.render.active[&id];
+            let node = match active.move_idx == active.parent_move {
+                true => "",
+                false => "*",
+            };
+            chain.push(format!("{}{node}", describe(id, &warm)));
+            // What each level was asked in on both sides, since the level
+            // where the two stop agreeing is the one to look at rather than
+            // the leaf that reported the difference.
+            let cold_id = places.get(&id).and_then(|&i| cold_tree.ids.get(i));
+            records.push(format!(
+                "    {}\n      warm {}\n      cold {}",
+                describe(id, &warm),
+                record(id, &warm),
+                cold_id.map_or("-".into(), |&id| record(id, &cold)),
+            ));
+            at = active.parent;
+        }
+        return Some(format!(
+            "widget {i}\n  warm {got:?}\n  cold {want:?}\n  {}\n{}",
+            chain.join(" < "),
+            records.join("\n"),
+        ));
+    }
+    match drawn {
+        0 => Some("nothing was drawn".into()),
+        _ => None,
+    }
+}

tests/scroll.rs

@@ -1,26 +0,0 @@
-//! Scrolling moves content and stops at its ends.
-
-use iris::harness::{Harness, assert_corners};
-use iris::prelude::*;
-
-#[test]
-fn a_wheel_scrolls_the_content_and_stops_at_its_end() {
-    let mut h = Harness::new((400, 200));
-    // Twice the window's height, so there is 200 to scroll.
-    let top = rect(Color::RED).height(200).add(&mut h.rsc);
-    let bottom = rect(Color::BLUE).height(200).add(&mut h.rsc);
-    h.set_root((top, bottom).span(Dir::DOWN).scrollable());
-    h.move_to((200, 100));
-
-    // `Scroll` starts snapped to the end.
-    assert_corners!(h, top, (0, -200), (400, 0));
-
-    // The handler scales a wheel line by 50.
-    h.scroll((0, 1));
-    h.frame();
-    assert_corners!(h, top, (0, -150), (400, 50));
-
-    h.scroll((0, 10));
-    h.frame();
-    assert_corners!(h, top, (0, 0), (400, 200));
-}

tests/shrink.rs

@@ -1,479 +1,38 @@
-//! A property test that shrinks its own counterexample.
+//! A fuzzer that reduces its own counterexample.
 //!
-//! `generated.rs` reproduces a failure from a seed, but a seed is not a lead
-//! anybody can read: the tree is hundreds of widgets, and reconstructing the
-//! part that matters by hand has failed every time it has been tried. This
-//! grows trees it can take apart, so a failure is reduced to the smallest
-//! tree that still shows it and printed as something to write a fast test
-//! from.
+//! A seed is not a lead anybody can read: the tree is hundreds of widgets,
+//! and reconstructing the part that matters by hand has failed every time it
+//! has been tried. This grows the trees `iris::random` describes, takes them
+//! apart, and prints the smallest one that still fails as something to write
+//! a fast test from.
 //!
 //!     cargo test --release --test shrink -- --ignored --nocapture
 //!
 //! `SHRINK_SEEDS` how many trees to try, `SHRINK_DEPTH` how deep to grow
-//! them, `SHRINK_CASE` which scenario. It is a fuzzer: run it once the
-//! ordinary tests pass, and turn what it finds into a test of its own rather
-//! than leaving a seed as the record.
+//! them, `SHRINK_CASE` which scenario or `all` for every one. `SHRINK_SEED`
+//! takes a single seed, which is how a failure `generated` printed is handed
+//! straight here: the two run the same cases over the same trees, so a seed
+//! that fails there fails here and is reduced.
+//!
+//! It is a fuzzer: run it once the ordinary tests pass, and turn what it
+//! finds into a test of its own rather than leaving a seed as the record.
 
-use iris::harness::Harness;
-use iris::prelude::*;
-use iris::random::{Branch, Rng};
+#[path = "scenario/mod.rs"]
+mod scenario;
 
-/// The same two leaves `iris::random` grows, since only one of them reads the
-/// width it is given and that is the difference that matters.
-const WORDS: &[&str] = &[
-    "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.",
-];
+use iris::random::{Edits, Plan, plan};
+use scenario::{ALL, Case, diverges, env, over_seeds};
 
-const ONE_LINE: &str = "one line, overflowing whatever it is given";
-
-const OUTER: (f32, f32) = (1920.0, 1200.0);
-const INNER: (f32, f32) = (640.0, 900.0);
-
-#[derive(Clone, Debug, PartialEq)]
-enum Node {
-    /// Words taken from [`WORDS`], and whether it wraps.
-    Text(usize, bool),
-    /// The leaf that overflows whatever box it is given rather than wrapping.
-    OneLine,
-    Rect,
-    /// Direction, gap, children in creation order, and the order they are
-    /// attached in -- separate so a tree that reorders its children
-    /// still makes the same widgets in the same order, and two
-    /// builds line up index for index.
-    Span(bool, f32, Vec<Node>, Vec<usize>),
-    Stack(Vec<Node>),
-    Pad(f32, Box<Node>),
-    Aligned(u8, u8, Box<Node>),
-    Sized(Option<Len>, Option<Len>, Box<Node>),
-    Scroll(bool, Box<Node>),
-    Branch(Box<Node>, Box<Node>, Box<Node>, f32),
-}
-
-fn axis_align(v: u8) -> Option<AxisAlign> {
-    match v % 4 {
-        0 => None,
-        1 => Some(AxisAlign::Neg),
-        2 => Some(AxisAlign::Center),
-        _ => Some(AxisAlign::Pos),
-    }
-}
-
-fn dir(down: bool) -> Dir {
-    if down { Dir::DOWN } else { Dir::RIGHT }
-}
-
-impl Node {
-    /// Builds into `h`, pushing every id in tree order, so two builds of one
-    /// node line up index for index and their boxes can be compared.
-    fn build(
-        &self,
-        h: &mut Harness,
-        out: &mut Vec<WidgetId>,
-        spans: &mut Vec<WeakWidget<Span>>,
-    ) -> StrongWidget {
-        let id: StrongWidget = match self {
-            Node::Text(words, wrap) => {
-                let n = (*words).clamp(1, WORDS.len());
-                wtext(WORDS[..n].join(" "))
-                    .size(16)
-                    .wrap(*wrap)
-                    .add_strong(&mut h.rsc)
-            }
-            Node::OneLine => wtext(ONE_LINE).size(16).wrap(false).add_strong(&mut h.rsc),
-            Node::Rect => rect(Color::RED).add_strong(&mut h.rsc),
-            Node::Span(down, gap, kids, order) => {
-                let mut built: Vec<_> = kids.iter().map(|k| Some(k.build(h, out, spans))).collect();
-                // `order` is a permutation, so each is taken exactly once.
-                let children = order
-                    .iter()
-                    .map(|&i| built[i].take().expect("order repeats an index"))
-                    .collect();
-                let handle = Span {
-                    children,
-                    dir: dir(*down),
-                    gap: *gap,
-                }
-                .add(&mut h.rsc);
-                spans.push(handle);
-                handle.add_strong(&mut h.rsc)
-            }
-            Node::Stack(kids) => {
-                let children = kids.iter().map(|k| k.build(h, out, spans)).collect();
-                Stack {
-                    children,
-                    size: StackSize::Child(0),
-                }
-                .add_strong(&mut h.rsc)
-            }
-            Node::Pad(p, kid) => {
-                let inner = kid.build(h, out, spans);
-                Pad {
-                    padding: Padding {
-                        left: *p,
-                        right: *p,
-                        top: *p,
-                        bottom: *p,
-                    },
-                    inner,
-                }
-                .add_strong(&mut h.rsc)
-            }
-            Node::Aligned(x, y, kid) => {
-                let inner = kid.build(h, out, spans);
-                Aligned {
-                    inner,
-                    align: Align {
-                        x: axis_align(*x),
-                        y: axis_align(*y),
-                    },
-                }
-                .add_strong(&mut h.rsc)
-            }
-            Node::Sized(x, y, kid) => {
-                let inner = kid.build(h, out, spans);
-                SetSize {
-                    inner,
-                    x: *x,
-                    y: *y,
-                }
-                .add_strong(&mut h.rsc)
-            }
-            Node::Scroll(down, kid) => {
-                let inner = kid.build(h, out, spans);
-                let axis = if *down { Axis::Y } else { Axis::X };
-                Scroll::new(inner, axis).add_strong(&mut h.rsc)
-            }
-            Node::Branch(probe, a, b, at) => {
-                let probe = probe.build(h, out, spans);
-                let wide = a.build(h, out, spans);
-                let narrow = b.build(h, out, spans);
-                Branch {
-                    probe,
-                    wide,
-                    narrow,
-                    threshold: *at,
-                }
-                .add_strong(&mut h.rsc)
-            }
-        };
-        out.push(id.id());
-        id
-    }
-
-    fn size(&self) -> usize {
-        1 + match self {
-            Node::Text(..) | Node::OneLine | Node::Rect => 0,
-            Node::Span(_, _, kids, _) | Node::Stack(kids) => kids.iter().map(Node::size).sum(),
-            Node::Pad(_, k)
-            | Node::Aligned(_, _, k)
-            | Node::Sized(_, _, k)
-            | Node::Scroll(_, k) => k.size(),
-            Node::Branch(p, a, b, _) => p.size() + a.size() + b.size(),
-        }
-    }
-
-    /// Every one-step simplification: a wrapper replaced by what it wrapped, a
-    /// child dropped, a length or a word count reduced. Ordered cheapest-first
-    /// so the greedy walk takes the biggest bites early.
-    fn smaller(&self) -> Vec<Node> {
-        let mut out = Vec::new();
-        let leaf = Node::Rect;
-        match self {
-            Node::Text(words, wrap) => {
-                if *words > 1 {
-                    out.push(Node::Text(words / 2, *wrap));
-                    out.push(Node::Text(words - 1, *wrap));
-                }
-                if *wrap {
-                    out.push(Node::Text(*words, false));
-                }
-                out.push(leaf);
-            }
-            Node::OneLine => out.push(Node::Rect),
-            Node::Rect => {}
-            Node::Span(down, gap, kids, order) => {
-                out.extend(order.iter().map(|&i| kids[i].clone()));
-                for i in 0..kids.len() {
-                    if kids.len() > 1 {
-                        let mut less = kids.clone();
-                        less.remove(i);
-                        let order = (0..less.len()).collect();
-                        out.push(Node::Span(*down, *gap, less, order));
-                    }
-                }
-                if *gap != 0.0 {
-                    out.push(Node::Span(*down, 0.0, kids.clone(), order.clone()));
-                }
-                for (i, kid) in kids.iter().enumerate() {
-                    for small in kid.smaller() {
-                        let mut next = kids.clone();
-                        next[i] = small;
-                        out.push(Node::Span(*down, *gap, next, order.clone()));
-                    }
-                }
-            }
-            Node::Stack(kids) => {
-                out.extend(kids.iter().cloned());
-                for i in 0..kids.len() {
-                    if kids.len() > 1 {
-                        let mut less = kids.clone();
-                        less.remove(i);
-                        out.push(Node::Stack(less));
-                    }
-                }
-                for (i, kid) in kids.iter().enumerate() {
-                    for small in kid.smaller() {
-                        let mut next = kids.clone();
-                        next[i] = small;
-                        out.push(Node::Stack(next));
-                    }
-                }
-            }
-            Node::Pad(p, kid) => {
-                out.push((**kid).clone());
-                if *p != 0.0 {
-                    out.push(Node::Pad(0.0, kid.clone()));
-                }
-                out.extend(
-                    kid.smaller()
-                        .into_iter()
-                        .map(|k| Node::Pad(*p, Box::new(k))),
-                );
-            }
-            Node::Aligned(x, y, kid) => {
-                out.push((**kid).clone());
-                for (nx, ny) in [(0, *y), (*x, 0)] {
-                    if (nx, ny) != (*x, *y) {
-                        out.push(Node::Aligned(nx, ny, kid.clone()));
-                    }
-                }
-                out.extend(
-                    kid.smaller()
-                        .into_iter()
-                        .map(|k| Node::Aligned(*x, *y, Box::new(k))),
-                );
-            }
-            Node::Sized(x, y, kid) => {
-                out.push((**kid).clone());
-                if x.is_some() {
-                    out.push(Node::Sized(None, *y, kid.clone()));
-                }
-                if y.is_some() {
-                    out.push(Node::Sized(*x, None, kid.clone()));
-                }
-                out.extend(
-                    kid.smaller()
-                        .into_iter()
-                        .map(|k| Node::Sized(*x, *y, Box::new(k))),
-                );
-            }
-            Node::Scroll(down, kid) => {
-                out.push((**kid).clone());
-                out.extend(
-                    kid.smaller()
-                        .into_iter()
-                        .map(|k| Node::Scroll(*down, Box::new(k))),
-                );
-            }
-            Node::Branch(p, a, b, at) => {
-                out.push((**p).clone());
-                out.push((**a).clone());
-                out.push((**b).clone());
-                for small in p.smaller() {
-                    out.push(Node::Branch(Box::new(small), a.clone(), b.clone(), *at));
-                }
-                for small in a.smaller() {
-                    out.push(Node::Branch(p.clone(), Box::new(small), b.clone(), *at));
-                }
-                for small in b.smaller() {
-                    out.push(Node::Branch(p.clone(), a.clone(), Box::new(small), *at));
-                }
-            }
-        }
-        out
-    }
-}
-
-/// A declared size over about half the tree, the way `iris::random` puts them
-/// in: on the way into every child rather than as a node kind of its own, so
-/// readers of a size are dense rather than occasional.
-fn sized(rng: &mut Rng, inner: Node) -> Node {
-    if !rng.chance() {
-        return inner;
-    }
-    let len = |rng: &mut Rng| match rng.below(4) {
-        0 => Some(Len::px(20.0 + rng.below(180) as f32)),
-        1 => Some(Len::REST),
-        _ => None,
-    };
-    Node::Sized(len(rng), len(rng), Box::new(inner))
-}
-
-fn grow(rng: &mut Rng, depth: usize) -> Node {
-    if depth == 0 {
-        return match rng.below(4) {
-            0 => Node::Text(1 + rng.below(WORDS.len()), true),
-            1 => Node::OneLine,
-            _ => Node::Rect,
-        };
-    }
-    let len = |rng: &mut Rng| match rng.below(4) {
-        0 => Some(Len::px(20.0 + rng.below(180) as f32)),
-        1 => Some(Len::REST),
-        2 => Some(Len::rel(0.25 + rng.below(3) as f32 * 0.25)),
-        _ => None,
-    };
-    let kid = |rng: &mut Rng| {
-        let inner = grow(rng, depth - 1);
-        sized(rng, inner)
-    };
-    match rng.below(8) {
-        0 => Node::Scroll(rng.chance(), Box::new(kid(rng))),
-        1 => Node::Aligned(rng.below(4) as u8, rng.below(4) as u8, Box::new(kid(rng))),
-        2 => Node::Pad(rng.below(24) as f32, Box::new(kid(rng))),
-        3 => Node::Sized(len(rng), len(rng), Box::new(kid(rng))),
-        4 => Node::Branch(
-            Box::new(kid(rng)),
-            Box::new(kid(rng)),
-            Box::new(kid(rng)),
-            rng.below(500) as f32,
-        ),
-        5 => Node::Stack((0..2 + rng.below(2)).map(|_| kid(rng)).collect()),
-        _ => {
-            let kids: Vec<_> = (0..2 + rng.below(3)).map(|_| kid(rng)).collect();
-            let order = (0..kids.len()).collect();
-            Node::Span(rng.chance(), rng.below(3) as f32 * 4.0, kids, order)
-        }
-    }
-}
-
-#[derive(Clone, Copy, PartialEq)]
-enum Case {
-    Resize,
-    Repaint,
-    ResizeRepaint,
-    Reorder,
-}
-
-/// Every span's children rotated by one, as a tree rather than as a change:
-/// what a warm frame reaches by moving them has to be where growing them that
-/// way lands.
-fn reordered(node: &Node) -> Node {
-    match node {
-        Node::Span(down, gap, kids, order) => {
-            let kids = kids.iter().map(reordered).collect::<Vec<_>>();
-            let mut order = order.clone();
-            order.rotate_left(1);
-            Node::Span(*down, *gap, kids, order)
-        }
-        Node::Stack(kids) => Node::Stack(kids.iter().map(reordered).collect()),
-        Node::Pad(p, k) => Node::Pad(*p, Box::new(reordered(k))),
-        Node::Aligned(x, y, k) => Node::Aligned(*x, *y, Box::new(reordered(k))),
-        Node::Sized(x, y, k) => Node::Sized(*x, *y, Box::new(reordered(k))),
-        Node::Scroll(d, k) => Node::Scroll(*d, Box::new(reordered(k))),
-        Node::Branch(p, a, b, at) => Node::Branch(
-            Box::new(reordered(p)),
-            Box::new(reordered(a)),
-            Box::new(reordered(b)),
-            *at,
-        ),
-        leaf => leaf.clone(),
-    }
-}
-
-/// Runs one scenario warm and cold and says where they disagree.
-fn diverges(node: &Node, case: Case) -> Option<String> {
-    let resizes = matches!(case, Case::Resize | Case::ResizeRepaint);
-    let repaints = matches!(case, Case::Repaint | Case::ResizeRepaint);
-    let start = if resizes { OUTER } else { INNER };
-    let mut warm = Harness::new(start);
-    let mut warm_ids = Vec::new();
-    let mut warm_spans = Vec::new();
-    let root = node.build(&mut warm, &mut warm_ids, &mut warm_spans);
-    warm.state.root = Some(root);
-    // The frame that makes it warm: without it there is nothing retained and
-    // the comparison is two cold starts agreeing with each other.
-    warm.frame();
-    if resizes {
-        warm.resize(INNER);
-        warm.frame();
-    }
-    if repaints {
-        for &id in &warm_ids {
-            warm.rsc.widgets_mut().get_dyn_mut(id);
-        }
-        warm.frame();
-    }
-    if case == Case::Reorder {
-        for span in &warm_spans {
-            warm.rsc[*span].children.rotate_left(1);
-        }
-        warm.frame();
-    }
-
-    // What the warm tree was moved into, grown that way from the start.
-    let want = match case {
-        Case::Reorder => reordered(node),
-        _ => node.clone(),
-    };
-    let mut cold = Harness::new(INNER);
-    let mut cold_ids = Vec::new();
-    let mut cold_spans = Vec::new();
-    let root = want.build(&mut cold, &mut cold_ids, &mut cold_spans);
-    cold.state.root = Some(root);
-    cold.frame();
-
-    for (i, (&w, &c)) in warm_ids.iter().zip(&cold_ids).enumerate() {
-        let (got, want) = (warm.region(&w), cold.region(&c));
-        let same = match (got, want) {
-            (Some(g), Some(c)) => {
-                let d = |a: f32, b: f32| (a - b).abs() <= 0.05;
-                d(g.top_left.x, c.top_left.x)
-                    && d(g.top_left.y, c.top_left.y)
-                    && d(g.bot_right.x, c.bot_right.x)
-                    && d(g.bot_right.y, c.bot_right.y)
-            }
-            (None, None) => true,
-            _ => false,
-        };
-        if !same {
-            return Some(format!("widget {i}: warm {got:?} cold {want:?}"));
-        }
-    }
-    None
-}
-
-/// Takes the first simplification that still fails, until none does.
-fn shrink(mut node: Node, case: Case) -> Node {
+/// Takes the first simplification that still fails, until none does. The
+/// simplifications come biggest first, so this walks down rather than
+/// nibbling: a six-hundred-widget tree reaches single figures in a few
+/// hundred builds.
+fn shrink(mut node: Plan, case: Case, seed: u64) -> Plan {
     loop {
         let Some(next) = node
             .smaller()
             .into_iter()
-            .find(|small| diverges(small, case).is_some())
+            .find(|small| diverges(small, case, seed).is_some())
         else {
             return node;
         };
@@ -481,45 +40,64 @@ fn shrink(mut node: Node, case: Case) -> Node {
     }
 }
 
-fn env<T: std::str::FromStr>(name: &str, fallback: T) -> T {
-    std::env::var(name)
-        .ok()
-        .and_then(|v| v.parse().ok())
-        .unwrap_or(fallback)
+fn cases() -> Vec<Case> {
+    match env("SHRINK_CASE", String::from("all")).as_str() {
+        "all" => ALL.to_vec(),
+        name => match Case::named(name) {
+            Some(case) => vec![case],
+            None => panic!(
+                "unknown SHRINK_CASE {name:?}; one of all, {}",
+                ALL.map(Case::name).join(", ")
+            ),
+        },
+    }
 }
 
 #[test]
 #[ignore = "a fuzzer; run it once the ordinary tests pass"]
 fn no_grown_tree_lays_out_differently_warm_than_cold() {
-    let seeds: u64 = env("SHRINK_SEEDS", 400);
     let depth: usize = env("SHRINK_DEPTH", 5);
-    let case = match env("SHRINK_CASE", String::from("resize")).as_str() {
-        "repaint" => Case::Repaint,
-        "resize-repaint" => Case::ResizeRepaint,
-        "reorder" => Case::Reorder,
-        _ => Case::Resize,
+    let cases = cases();
+    let seeds: Vec<u64> = match std::env::var("SHRINK_SEED")
+        .ok()
+        .and_then(|v| v.parse().ok())
+    {
+        Some(seed) => vec![seed],
+        None => (1..=env("SHRINK_SEEDS", 400_u64)).collect(),
     };
+    let count = seeds.len();
 
-    for seed in 1..=seeds {
-        let node = grow(&mut Rng::new(seed), depth);
-        let Some(how) = diverges(&node, case) else {
-            continue;
-        };
-        let small = shrink(node.clone(), case);
-        println!(
-            "seed {seed}: {how}\ngrown {} widgets, shrank to {}\n{small:#?}",
-            node.size(),
-            small.size()
-        );
-        panic!("seed {seed} lays out differently warm than cold");
-    }
-    let sizes: Vec<usize> = (1..=seeds)
-        .map(|seed| grow(&mut Rng::new(seed), depth).size())
+    over_seeds(seeds, |seed| {
+        let grown = plan(seed, depth, &Edits::default());
+        for &case in &cases {
+            if diverges(&grown, case, seed).is_none() {
+                continue;
+            }
+            let small = shrink(grown.clone(), case, seed);
+            // Described from the shrunk tree: the grown tree's chain names
+            // widgets that are no longer there, and the ancestry of the
+            // failure is what a test is written from.
+            let how = diverges(&small, case, seed).unwrap_or_default();
+            println!(
+                "seed {seed} case {}: {how}\ngrown {} widgets, shrank to {}\n{small:#?}",
+                case.name(),
+                grown.size(),
+                small.size()
+            );
+            panic!(
+                "seed {seed} lays out differently warm than cold after {}",
+                case.name()
+            );
+        }
+    });
+
+    let sizes: Vec<usize> = (1..=count as u64)
+        .map(|seed| plan(seed, depth, &Edits::default()).size())
         .collect();
-    let total: usize = sizes.iter().sum();
     println!(
-        "{seeds} trees at depth {depth} agree: {} widgets total, largest {}",
-        total,
+        "{count} trees at depth {depth} agree over {} case(s): {} widgets total, largest {}",
+        cases.len(),
+        sizes.iter().sum::<usize>(),
         sizes.iter().max().copied().unwrap_or(0)
     );
 }

tests/suite.rs

@@ -0,0 +1,34 @@
+//! Every ordinary correctness test, as modules of one target.
+//!
+//! One binary rather than a dozen: each `tests/*.rs` links the whole
+//! dependency graph again, which is most of what `cargo test` spends its time
+//! on here. Libtest still runs the cases in parallel, and a filter still
+//! selects them -- `cargo test --test suite layout::` for one module.
+//!
+//! The rigs stay their own targets: `shrink` and `generated` are fuzzers run
+//! on their own, and the `*_cost` and `*_diagnostics` ones are measurements.
+
+#[path = "cases/determinism.rs"]
+mod determinism;
+#[path = "cases/drift.rs"]
+mod drift;
+#[path = "cases/idempotence.rs"]
+mod idempotence;
+#[path = "cases/layout.rs"]
+mod layout;
+#[path = "cases/plan.rs"]
+mod plan;
+#[path = "cases/pointer.rs"]
+mod pointer;
+#[path = "cases/pointer_routing.rs"]
+mod pointer_routing;
+#[path = "cases/retained.rs"]
+mod retained;
+#[path = "cases/scroll.rs"]
+mod scroll;
+#[path = "cases/tasks.rs"]
+mod tasks;
+#[path = "cases/text_edit.rs"]
+mod text_edit;
+#[path = "cases/unsettled.rs"]
+mod unsettled;

tests/trace_unsettled.rs

@@ -10,20 +10,14 @@ use iris::prelude::*;
 fn plant(h: &mut Harness) -> Vec<WidgetId> {
     let plain = wtext("Wrapping").size(16).wrap(false).add(&mut h.rsc);
     let wrapped = wtext("Wrapping shapes").size(16).wrap(true).add(&mut h.rsc);
-    let sized = SetSize {
-        inner: wrapped.add_strong(&mut h.rsc),
-        x: Some(Len::px(76.0)),
-        y: None,
-    }
-    .add(&mut h.rsc);
-    let aligned = Aligned {
-        inner: sized.add_strong(&mut h.rsc),
-        align: Align {
-            x: Some(AxisAlign::Pos),
-            y: Some(AxisAlign::Pos),
-        },
-    }
-    .add(&mut h.rsc);
+    let sized = wrapped.width(76).add(&mut h.rsc);
+    let aligned = sized;
+    h.rsc
+        .widgets_mut()
+        .set_alignment(sized, Axis::X, AxisAlign::POS);
+    h.rsc
+        .widgets_mut()
+        .set_alignment(sized, Axis::Y, AxisAlign::POS);
     let stack = Stack {
         children: vec![plain.add_strong(&mut h.rsc), aligned.add_strong(&mut h.rsc)],
         size: StackSize::Child(0),
@@ -62,8 +56,8 @@ fn dump(label: &str, report: &diag::Report, text: WidgetId) {
             TraceEvent::SizeRead { id, reader, size } if *id == text => {
                 println!("  size read by {reader:?}: {size}")
             }
-            TraceEvent::Placed { id, parent, region } if *id == text => {
-                println!("  placed by {parent:?} at {region:?}")
+            TraceEvent::RegionNode { id, parent, region } if *id == text => {
+                println!("  region node under {parent:?} at {region:?}")
             }
             TraceEvent::Reuse { id, outcome } if *id == text => println!("  reuse: {outcome:?}"),
             _ => {}
@@ -99,21 +93,12 @@ fn what_box_the_text_is_drawn_in() {
 fn plant_fixed(h: &mut Harness) -> Vec<WidgetId> {
     let words = "Wrapping shapes one source into as many lines as the box leaves";
     let text = wtext(words).size(16).wrap(true).add(&mut h.rsc);
-    let aligned = Aligned {
-        inner: text.add_strong(&mut h.rsc),
-        align: Align {
-            x: Some(AxisAlign::Neg),
-            y: None,
-        },
-    }
-    .add(&mut h.rsc);
+    let aligned = text;
+    h.rsc
+        .widgets_mut()
+        .set_alignment(text, Axis::X, AxisAlign::NEG);
     let inner = (aligned,).span(Dir::RIGHT).add(&mut h.rsc);
-    let sized = SetSize {
-        inner: inner.add_strong(&mut h.rsc),
-        x: Some(Len::px(189.0)),
-        y: Some(Len::px(176.0)),
-    }
-    .add(&mut h.rsc);
+    let sized = inner.sized((189, 176)).add(&mut h.rsc);
     let filler = rect(Color::RED).add(&mut h.rsc);
     let root = (filler, sized).span(Dir::RIGHT).add(&mut h.rsc);
     h.state.root = Some(root.add_strong(&mut h.rsc));

tests/unsettled.rs

@@ -1,298 +0,0 @@
-//! The smallest trees that laid out differently warm than cold, each shrunk
-//! by `tests/shrink.rs` from hundreds of widgets. The first two are a cold
-//! frame that had not settled: a wrapping text shaped at a width it was
-//! measured in rather than the one it was given. The rest are a widget
-//! measured again in a box its own answer had decided, where the old answer
-//! is a fixed point whatever the content now says.
-
-use iris::harness::Harness;
-use iris::prelude::*;
-
-/// Six widgets, shrunk from a 402-widget tree the fuzzer found. Nothing about
-/// the tree changes -- every widget is marked for redraw and the frame is
-/// taken again -- so no box may move, and a warm frame has to land where a
-/// cold one does.
-fn plant(h: &mut Harness) -> Vec<WidgetId> {
-    let plain = wtext("Wrapping").size(16).wrap(false).add(&mut h.rsc);
-    let wrapped = wtext("Wrapping shapes").size(16).wrap(true).add(&mut h.rsc);
-    let sized = SetSize {
-        inner: wrapped.add_strong(&mut h.rsc),
-        x: Some(Len::px(76.0)),
-        y: None,
-    }
-    .add(&mut h.rsc);
-    let aligned = Aligned {
-        inner: sized.add_strong(&mut h.rsc),
-        align: Align {
-            x: Some(AxisAlign::Pos),
-            y: Some(AxisAlign::Pos),
-        },
-    }
-    .add(&mut h.rsc);
-    let stack = Stack {
-        children: vec![plain.add_strong(&mut h.rsc), aligned.add_strong(&mut h.rsc)],
-        size: StackSize::Child(0),
-    }
-    .add(&mut h.rsc);
-    let root = (stack,).span(Dir::RIGHT).add(&mut h.rsc);
-    h.set_root(root);
-    vec![
-        plain.id(),
-        wrapped.id(),
-        sized.id(),
-        aligned.id(),
-        stack.id(),
-        root.id(),
-    ]
-}
-
-/// The first frame does not reach the layout a second one does, so "cold" is
-/// not a fixed point and comparing against it compares against a tree that
-/// has not settled.
-#[test]
-fn one_frame_is_enough() {
-    let mut h = Harness::new((640, 900));
-    let ids = plant(&mut h);
-    let first = h.region(&ids[1]).unwrap();
-    for _ in 0..3 {
-        for &id in &ids {
-            h.rsc.widgets_mut().get_dyn_mut(id);
-        }
-        h.frame();
-    }
-    let settled = h.region(&ids[1]).unwrap();
-    println!(
-        "first frame {} tall, settled {} tall",
-        first.bot_right.y - first.top_left.y,
-        settled.bot_right.y - settled.top_left.y
-    );
-    assert_eq!(
-        first.bot_right.y - first.top_left.y,
-        settled.bot_right.y - settled.top_left.y,
-        "the first frame had not finished laying out"
-    );
-}
-
-#[test]
-fn repainting_everything_moves_nothing() {
-    let mut warm = Harness::new((640, 900));
-    let ids = plant(&mut warm);
-    for &id in &ids {
-        warm.rsc.widgets_mut().get_dyn_mut(id);
-    }
-    warm.frame();
-
-    let mut cold = Harness::new((640, 900));
-    let cold_ids = plant(&mut cold);
-
-    let mut wrong = Vec::new();
-    for (i, (&w, &c)) in ids.iter().zip(&cold_ids).enumerate() {
-        let (got, want) = (warm.region(&w), cold.region(&c));
-        if got != want {
-            wrong.push(format!("widget {i}: warm {got:?} cold {want:?}"));
-        }
-    }
-    assert!(wrong.is_empty(), "{}", wrong.join("\n"));
-}
-
-/// Six widgets, shrunk from 905. Everything inside the declared 189x176 box
-/// is the same size whatever the output is, so a resize may not change any of
-/// it -- but the text comes out 3.92px narrower warm than cold.
-fn plant_fixed(h: &mut Harness) -> Vec<WidgetId> {
-    let words = "Wrapping shapes one source into as many lines as the box leaves";
-    let text = wtext(words).size(16).wrap(true).add(&mut h.rsc);
-    let aligned = Aligned {
-        inner: text.add_strong(&mut h.rsc),
-        align: Align {
-            x: Some(AxisAlign::Neg),
-            y: None,
-        },
-    }
-    .add(&mut h.rsc);
-    let inner = (aligned,).span(Dir::RIGHT).add(&mut h.rsc);
-    let sized = SetSize {
-        inner: inner.add_strong(&mut h.rsc),
-        x: Some(Len::px(189.0)),
-        y: Some(Len::px(176.0)),
-    }
-    .add(&mut h.rsc);
-    let filler = rect(Color::RED).add(&mut h.rsc);
-    let root = (filler, sized).span(Dir::RIGHT).add(&mut h.rsc);
-    h.state.root = Some(root.add_strong(&mut h.rsc));
-    vec![
-        text.id(),
-        aligned.id(),
-        inner.id(),
-        sized.id(),
-        filler.id(),
-        root.id(),
-    ]
-}
-
-#[test]
-fn a_resize_does_not_reach_inside_a_box_of_declared_pixels() {
-    let mut warm = Harness::new((1920, 1200));
-    let ids = plant_fixed(&mut warm);
-    warm.frame();
-    warm.resize((640, 900));
-    warm.frame();
-
-    let mut cold = Harness::new((640, 900));
-    let cold_ids = plant_fixed(&mut cold);
-    cold.frame();
-
-    let mut wrong = Vec::new();
-    for (i, (&w, &c)) in ids.iter().zip(&cold_ids).enumerate() {
-        let (got, want) = (warm.region(&w), cold.region(&c));
-        if got != want {
-            wrong.push(format!("widget {i}: warm {got:?} cold {want:?}"));
-        }
-    }
-    assert!(wrong.is_empty(), "{}", wrong.join("\n"));
-}
-
-/// Four widgets, shrunk from 486. A span's two children are swapped: warm by
-/// moving them, cold by growing them that way. Same widgets, same sizes, one
-/// ends up 29.9px from where the other does.
-fn plant_pair(h: &mut Harness, swapped: bool) -> (Vec<WidgetId>, WeakWidget<Span>) {
-    let wrapped = wtext("Wrapping shapes one source into as many lines")
-        .size(16)
-        .wrap(true)
-        .add(&mut h.rsc);
-    let plain = wtext("one line, overflowing whatever it is given")
-        .size(16)
-        .wrap(false)
-        .add(&mut h.rsc);
-    let first: StrongWidget = wrapped.add_strong(&mut h.rsc);
-    let second: StrongWidget = plain.add_strong(&mut h.rsc);
-    let children = match swapped {
-        true => vec![second, first],
-        false => vec![first, second],
-    };
-    let span = Span {
-        children,
-        dir: Dir::RIGHT,
-        gap: 0.0,
-    }
-    .add(&mut h.rsc);
-    let span_handle = span;
-    let aligned = Aligned {
-        inner: span.add_strong(&mut h.rsc),
-        align: Align {
-            x: Some(AxisAlign::Center),
-            y: None,
-        },
-    }
-    .add(&mut h.rsc);
-    h.state.root = Some(aligned.add_strong(&mut h.rsc));
-    (
-        vec![wrapped.id(), plain.id(), span.id(), aligned.id()],
-        span_handle,
-    )
-}
-
-#[test]
-fn swapping_two_children_lands_where_growing_them_that_way_does() {
-    let mut warm = Harness::new((640, 900));
-    let (ids, span) = plant_pair(&mut warm, false);
-    warm.frame();
-    warm.rsc[span].children.rotate_left(1);
-    warm.frame();
-
-    let mut cold = Harness::new((640, 900));
-    let (cold_ids, _) = plant_pair(&mut cold, true);
-    cold.frame();
-
-    let mut wrong = Vec::new();
-    for (i, (&w, &c)) in ids.iter().zip(&cold_ids).enumerate() {
-        let (got, want) = (warm.region(&w), cold.region(&c));
-        if got != want {
-            wrong.push(format!("widget {i}: warm {got:?} cold {want:?}"));
-        }
-    }
-    assert!(wrong.is_empty(), "{}", wrong.join("\n"));
-}
-
-/// Eight widgets, shrunk from 80. The scroll decides how wide to make its
-/// content from what the content says, and hands that box down through a
-/// pass-through; the span under it was placed once, in that box, so nothing
-/// at its own edge says the box was its own answer.
-fn plant_scrolled(h: &mut Harness, swapped: bool) -> (Vec<WidgetId>, [WeakWidget<Span>; 2]) {
-    let words = "Wrapping shapes one source into as many lines as the box leaves room for,";
-    let text = wtext(words).size(16).wrap(true).add(&mut h.rsc);
-    let filler = rect(Color::RED).add(&mut h.rsc);
-    let mut inner_children: Vec<StrongWidget> =
-        vec![text.add_strong(&mut h.rsc), filler.add_strong(&mut h.rsc)];
-    if swapped {
-        inner_children.rotate_left(1);
-    }
-    let inner = Span {
-        children: inner_children,
-        dir: Dir::RIGHT,
-        gap: 0.0,
-    }
-    .add(&mut h.rsc);
-    let block = rect(Color::RED).add(&mut h.rsc);
-    let fixed = SetSize {
-        inner: block.add_strong(&mut h.rsc),
-        x: Some(Len::px(87.0)),
-        y: None,
-    }
-    .add(&mut h.rsc);
-    let mut outer_children: Vec<StrongWidget> =
-        vec![fixed.add_strong(&mut h.rsc), inner.add_strong(&mut h.rsc)];
-    if swapped {
-        outer_children.rotate_left(1);
-    }
-    let outer = Span {
-        children: outer_children,
-        dir: Dir::RIGHT,
-        gap: 0.0,
-    }
-    .add(&mut h.rsc);
-    let through = SetSize {
-        inner: outer.add_strong(&mut h.rsc),
-        x: None,
-        y: None,
-    }
-    .add(&mut h.rsc);
-    let scroll = Scroll::new(through.add_strong(&mut h.rsc), Axis::X).add(&mut h.rsc);
-    h.state.root = Some(scroll.add_strong(&mut h.rsc));
-    (
-        vec![
-            text.id(),
-            filler.id(),
-            inner.id(),
-            block.id(),
-            fixed.id(),
-            outer.id(),
-            through.id(),
-            scroll.id(),
-        ],
-        [inner, outer],
-    )
-}
-
-#[test]
-fn a_span_placed_once_in_a_box_its_answer_decided() {
-    let mut warm = Harness::new((640, 900));
-    let (ids, spans) = plant_scrolled(&mut warm, false);
-    warm.frame();
-    for span in spans {
-        warm.rsc[span].children.rotate_left(1);
-    }
-    warm.frame();
-
-    let mut cold = Harness::new((640, 900));
-    let (cold_ids, _) = plant_scrolled(&mut cold, true);
-    cold.frame();
-
-    let mut wrong = Vec::new();
-    for (i, (&w, &c)) in ids.iter().zip(&cold_ids).enumerate() {
-        let (got, want) = (warm.region(&w), cold.region(&c));
-        if got != want {
-            wrong.push(format!("widget {i}: warm {got:?} cold {want:?}"));
-        }
-    }
-    assert!(wrong.is_empty(), "{}", wrong.join("\n"));
-}