The drag learns the stepper's trick — past the screen's edge, lane growth re-divides instead of stopping
The right-edge drag's growth was capped at the screen's visible frame, because each snap tick grows the window; on a window near the screen edge that left a lane stuck at a tick or two of headroom. Settled 2026-08-08 (03-board-ui.md § Lane, superseding the pathfinder's hard stop): at the screen the window pins and each further tick re-divides the fixed strip width across one more unit — siblings compress, the stepper's mechanism arriving under the drag's fingers. The regimes meet with no pixel jump (the re-divided standard at the fit IS the frozen standard, by the exact-fill identity), shrinking mirrors the way back, the rubber band moves to the strip's own capacity, and a window with no headroom at all — full screen included — re-divides from the very first snap. New pure arithmetic in LaneLayoutMath (pinnedStripWidth, resizeStandard, resizeMaxUnits, resizeWindowDelta, snappedUnits over per-count slots); LaneResizeSession splits the tick across the regimes and derives its standard from the live count; the handle and BoardView hand the session the strip's whole divide. 2709 unit tests green (+11). Claude-Session: https://claude.ai/code/session_014PtZdPwqZuqEDLc6wZMtEy
This commit is contained in:
@@ -16,10 +16,17 @@ import CoreGraphics
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/// ported from the pathfinder's proven `ColumnResizeMath` (its reasoning is reproduced below,
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/// since the behaviour is what was proven, not the code).
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///
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/// **The two mechanisms meet at the screen's visible frame** (settled 2026-08-08, § Lane): once the
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/// window can grow no further the drag stops moving it and degrades to the re-divide — the same
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/// fixed width across one more unit per tick, siblings compressing, which is precisely what the
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/// stepper does. `pinnedStripWidth`, `resizeStandard`, `resizeMaxUnits` and `resizeWindowDelta` are
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/// that second regime; they are written so the boundary itself costs no pixels, since the re-divided
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/// standard at the screen fit *is* the frozen standard.
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///
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/// The one behavioural difference from the pathfinder: **Lanework has no upper width cap.** A lane
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/// spans any whole number of units ≥ 1, so `allowedRange`'s ceiling is only ever the on-screen fit
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/// (`maxUnits`) — there is no `Column.widthRange` equivalent to fold in, and shrinking is always
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/// allowed.
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/// spans any whole number of units ≥ 1, so `allowedRange`'s ceiling is not a width range but the
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/// strip's own capacity (`resizeMaxUnits`) — there is no `Column.widthRange` equivalent to fold in,
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/// and shrinking is always allowed.
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enum LaneLayoutMath {
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// MARK: - The resting layout
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@@ -136,10 +143,37 @@ enum LaneLayoutMath {
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/// 10pt (true of every lane width a real window produces), so calling this on every drag event
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/// never oscillates.
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///
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/// Ticks are capped to `allowedRange`, which in Lanework folds in **only** the on-screen fit
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/// (`maxUnits`) — there is no width cap to respect (03-board-ui.md § Lane: "1×, 2×, 3×, … — no
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/// cap"), and the uncapped widths beyond the screen's capacity are the stepper's business, not
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/// the drag's.
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/// Ticks are capped to `allowedRange`, whose ceiling is the strip's capacity (`resizeMaxUnits`)
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/// — there is no width cap to respect (03-board-ui.md § Lane: "1×, 2×, 3×, … — no cap"), and
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/// past the screen fit the tick keeps firing, re-dividing rather than growing the window.
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///
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/// **`slotFor` rather than a standard**, because the standard is no longer one number for the
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/// whole gesture: beyond the screen fit each further unit re-divides the pinned strip, so slot
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/// `k` and slot `k + 1` are measured against *different* standards (`resizeStandard`). The
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/// thresholds are unchanged in form — they simply ask the caller how wide each slot would be.
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/// The band stays non-empty in the re-divide too: the slots still grow strictly with `k`, since
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/// a unit added to a lane takes more from the strip than the re-divide gives back.
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static func snappedUnits(
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liveWidth: CGFloat,
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currentUnits: Int,
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slotFor: (Int) -> CGFloat,
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gap: CGFloat,
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allowedRange: ClosedRange<Int>,
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reentry: CGFloat
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) -> Int {
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if currentUnits < allowedRange.upperBound, liveWidth > slotFor(currentUnits) + gap {
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return currentUnits + 1
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}
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if currentUnits > allowedRange.lowerBound {
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if liveWidth < slotFor(currentUnits - 1) + gap - reentry {
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return currentUnits - 1
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}
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}
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return currentUnits
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}
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/// The same snap where every slot is measured against one standard — the whole of the gesture
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/// below the screen fit, and the shape the hit-testing and layout call sites think in.
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static func snappedUnits(
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liveWidth: CGFloat,
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currentUnits: Int,
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@@ -148,25 +182,21 @@ enum LaneLayoutMath {
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allowedRange: ClosedRange<Int>,
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reentry: CGFloat
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) -> Int {
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let currentSlot = slotWidth(units: currentUnits, standard: standard, gap: gap)
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if currentUnits < allowedRange.upperBound, liveWidth > currentSlot + gap {
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return currentUnits + 1
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}
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if currentUnits > allowedRange.lowerBound {
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let previousSlot = slotWidth(units: currentUnits - 1, standard: standard, gap: gap)
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if liveWidth < previousSlot + gap - reentry {
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return currentUnits - 1
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}
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}
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return currentUnits
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snappedUnits(
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liveWidth: liveWidth,
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currentUnits: currentUnits,
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slotFor: { slotWidth(units: $0, standard: standard, gap: gap) },
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gap: gap,
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allowedRange: allowedRange,
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reentry: reentry)
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}
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/// The live width rubber-banded to stay near the allowed slot range: inside `[minSlot,
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/// maxSlot]` the proposed width passes through untouched; beyond either end only `resistance`
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/// (0.25) of the overshoot is applied, so the edge visibly resists but still gives, signalling
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/// the bound without a hard stop (03-board-ui.md § Lane: "Growth hard-stops at the screen's
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/// visible frame, with rubber-band feedback"). The snap tick never follows the width past the
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/// bound (see `snappedUnits`' clamp), so this is purely cosmetic give.
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/// the bound without a hard stop (03-board-ui.md § Lane: the rubber band "moves to the true end
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/// of travel — the strip's own capacity"). The snap tick never follows the width past the bound
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/// (see `snappedUnits`' clamp), so this is purely cosmetic give.
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static func resistedWidth(
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proposed: CGFloat,
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minSlot: CGFloat,
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@@ -184,9 +214,12 @@ enum LaneLayoutMath {
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/// allowed regardless of screen room, including from a window already hanging off the edge
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/// (negative headroom).
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///
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/// Unlike the pathfinder's twin there is no width ceiling to `min` against: the drag's only
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/// bound is the screen, because it is the mechanism that grows the window. Larger widths are
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/// reachable through the stepper, which re-divides instead (03-board-ui.md § Lane).
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/// Unlike the pathfinder's twin this is **not the tick's ceiling** — it is the boundary where
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/// one mechanism hands over to the other (settled 2026-08-08, 03-board-ui.md § Lane). Up to it
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/// the drag grows the window and the siblings keep their pixels; past it the window is spent and
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/// each further tick re-divides instead (`resizeStandard`), which is how a lane keeps growing at
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/// the siblings' expense on a full screen. A window with no headroom at all answers
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/// `currentUnits`, so the very first tick is already a re-divide.
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///
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/// Pure so it can be unit-tested; the session computes `headroom` from the live window and its
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/// screen and defers the arithmetic here.
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@@ -195,4 +228,106 @@ enum LaneLayoutMath {
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let extra = Int(floor(max(0, min(headroom, CGFloat(Int.max) / 2)) / step))
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return max(currentUnits, currentUnits + extra)
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}
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// MARK: - The drag past the screen: the re-divide
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/// The strip's width once the window has grown as far as its screen allows — the width every
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/// tick past the screen fit re-divides, since the window is pinned from there on.
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///
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/// The drag-start width is **derived, not measured**: the strip always fills exactly
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/// (`standardWidth`), so a frozen standard `s` over `T` units means a strip of `s·T + g·(T + 1)`
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/// and nothing else. Growth adds one `s + g` step per unit of on-screen headroom. Deriving it is
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/// what makes the boundary free: a measured viewport width, carrying whatever half-point the
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/// layout rounded to, would put a visible step where the two regimes meet.
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static func pinnedStripWidth(
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startUnits: Int,
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startStandard: CGFloat,
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startTotalUnits: Int,
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fittingUnits: Int,
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gap: CGFloat
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) -> CGFloat {
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let total = CGFloat(max(1, startTotalUnits))
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let atStart = startStandard * total + gap * (total + 1)
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return atStart + CGFloat(max(0, fittingUnits - startUnits)) * (startStandard + gap)
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}
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/// The strip's standard (1×) width part-way through a right-edge drag, for a dragged lane
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/// spanning `units` — the whole of the drag's two regimes in one function (03-board-ui.md
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/// § Lane, settled 2026-08-08).
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///
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/// At or below the screen fit the answer is the standard frozen at drag start: the window takes
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/// the step, so the division is unchanged and every other lane keeps its exact pixels. Past the
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/// fit the window is pinned, so each further unit the dragged lane claims is one more unit the
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/// same `pinnedStripWidth` has to divide across — the siblings compress, which is the stepper's
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/// mechanism arriving under the drag's fingers.
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///
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/// **The regimes meet with no pixel jump.** At `units == fittingUnits` the pinned width divided
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/// across its own unit total is `startStandard` exactly, by the exact-fill identity
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/// `pinnedStripWidth` is built from — the same reason the release hands back to the resting
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/// layout without a flinch (`LaneResizeSession`).
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static func resizeStandard(
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forUnits units: Int,
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startUnits: Int,
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startStandard: CGFloat,
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startTotalUnits: Int,
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fittingUnits: Int,
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gap: CGFloat
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) -> CGFloat {
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guard units > fittingUnits else { return startStandard }
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return standardWidth(
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stripWidth: pinnedStripWidth(
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startUnits: startUnits, startStandard: startStandard,
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startTotalUnits: startTotalUnits, fittingUnits: fittingUnits, gap: gap),
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totalUnits: max(1, startTotalUnits) + (units - startUnits),
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gap: gap)
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}
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/// The drag's ceiling — the true end of travel, which past the screen fit is a question about
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/// the strip's capacity rather than about the screen.
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///
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/// The re-divide can always take one more unit, but not usefully forever: at some total
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/// `standardWidth`'s 1pt floor engages and the strip stops filling exactly, which is the point
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/// where the arithmetic stops describing anything on screen. That total is the largest `T`
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/// satisfying `(W − g·(T + 1)) / T ≥ 1`, i.e. `floor((W − g) / (1 + g))`, and the dragged lane's
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/// ceiling is that total read back through the units it contributed. This is where the rubber
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/// band now sits (§ Lane: "the true end of travel — the strip's own capacity").
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///
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/// **Never below the screen fit**, and so never below the count the drag started from —
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/// shrinking is always allowed. A degenerate strip (a non-finite standard, a gap at or below
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/// −1pt, a capacity under one whole unit) falls back to the fit rather than inventing a bound.
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static func resizeMaxUnits(
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startUnits: Int,
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startStandard: CGFloat,
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startTotalUnits: Int,
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fittingUnits: Int,
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gap: CGFloat
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) -> Int {
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let fit = max(startUnits, fittingUnits)
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guard startStandard.isFinite, gap.isFinite, gap > -1 else { return fit }
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let width = pinnedStripWidth(
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startUnits: startUnits, startStandard: startStandard,
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startTotalUnits: startTotalUnits, fittingUnits: fittingUnits, gap: gap)
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guard width.isFinite else { return fit }
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let capacity = (width - gap) / (1 + gap)
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guard capacity >= 1 else { return fit }
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let total = Int(min(capacity, CGFloat(Int.max) / 2).rounded(.down))
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return max(fit, startUnits + (total - max(1, startTotalUnits)))
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}
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/// How far the window moves on a tick from `oldUnits` to `newUnits`: one `step` per unit of that
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/// change lying **inside** the screen fit, and nothing at all for the part beyond it, where the
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/// re-divide has taken over and the window is pinned (03-board-ui.md § Lane).
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///
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/// A difference of clamped counts rather than a per-step walk, because a flick can cross the
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/// boundary in one gesture event and the two sides must net out exactly: `F − 1 → F + 2` is one
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/// step (only the first unit was ever the window's to give), `F + 2 → F + 5` is none, and
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/// `F + 2 → F − 1` hands that one step back. Shrinking mirrors growing by construction.
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static func resizeWindowDelta(
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from oldUnits: Int,
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to newUnits: Int,
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fittingUnits: Int,
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step: CGFloat
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) -> CGFloat {
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CGFloat(min(newUnits, fittingUnits) - min(oldUnits, fittingUnits)) * step
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}
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}
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