diff --git a/appleApp/FTWKit/Sources/FTWKit/State/LoadShapeDraft.swift b/appleApp/FTWKit/Sources/FTWKit/State/LoadShapeDraft.swift
new file mode 100644
index 0000000..da5685f
--- /dev/null
+++ b/appleApp/FTWKit/Sources/FTWKit/State/LoadShapeDraft.swift
@@ -0,0 +1,79 @@
+import Foundation
+
+/// A local study of pulling a future household-load curve. This value has
+/// no transport or planner side effects. Each gesture starts from a copy;
+/// every move applies its total displacement to that same copy.
+public struct LoadShapeDraft: Equatable, Sendable {
+    public struct Slot: Equatable, Sendable {
+        public let startMs: Double
+        public let endMs: Double
+        public let baseWatts: Double
+        public private(set) var targetWatts: Double?
+        public var watts: Double { targetWatts ?? baseWatts }
+
+        public init(startMs: Double, endMs: Double, baseWatts: Double) {
+            self.startMs = startMs
+            self.endMs = endMs
+            self.baseWatts = baseWatts
+        }
+
+        fileprivate mutating func set(_ watts: Double) {
+            targetWatts = watts == baseWatts ? nil : watts
+        }
+    }
+
+    public enum Invalid: Error { case slots, pull }
+    public private(set) var slots: [Slot]
+
+    /// Missing intervals stay missing. Input must be in time order and
+    /// must contain finite, nonnegative interval means.
+    public init(slots: [Slot]) throws {
+        var previousEnd = -Double.infinity
+        for slot in slots {
+            guard slot.startMs.isFinite, slot.endMs.isFinite,
+                  slot.endMs > slot.startMs,
+                  (slot.endMs - slot.startMs).isFinite,
+                  slot.startMs >= previousEnd,
+                  slot.baseWatts.isFinite, slot.baseWatts >= 0 else { throw Invalid.slots }
+            previousEnd = slot.endMs
+        }
+        self.slots = slots
+    }
+
+    /// Pull nearby interval means by a smooth weight with finite support.
+    /// `radiusMs` comes from the visible scale, frozen with the y scale
+    /// during the gesture. The current interval and all past ones stay put.
+    public func pulling(atMs: Double, byWatts: Double, radiusMs: Double, nowMs: Double) throws -> Self {
+        guard atMs.isFinite, byWatts.isFinite, radiusMs.isFinite,
+              radiusMs > 0, nowMs.isFinite, atMs >= nowMs else { throw Invalid.pull }
+        var result = self
+        for i in slots.indices where slots[i].startMs >= nowMs {
+            let middle = slots[i].startMs + (slots[i].endMs - slots[i].startMs) / 2
+            let distance = abs(middle - atMs) / radiusMs
+            guard distance < 1 else { continue }
+            let edge = 1 - distance * distance
+            let watts = slots[i].watts + byWatts * edge * edge * edge
+            guard watts.isFinite else { throw Invalid.pull }
+            result.slots[i].set(max(0, watts))
+        }
+        return result
+    }
+
+    /// Only complete future intervals are submitted. A draft may have
+    /// stayed open while the box's clock moved into one of its intervals.
+    public func changes(nowMs: Double) -> [Slot] {
+        guard nowMs.isFinite else { return [] }
+        return slots.filter { $0.startMs >= nowMs && $0.targetWatts != nil }
+    }
+
+    /// Reset the selected future intervals to this draft's base forecast.
+    /// The caller reads the current base from Core after a real reset.
+    public func resetting(in range: Range<Double>, nowMs: Double) -> Self {
+        guard range.lowerBound.isFinite, range.upperBound.isFinite, nowMs.isFinite else { return self }
+        var result = self
+        for i in slots.indices where slots[i].startMs >= nowMs && slots[i].startMs < range.upperBound && slots[i].endMs > range.lowerBound {
+            result.slots[i].set(slots[i].baseWatts)
+        }
+        return result
+    }
+}
diff --git a/appleApp/FTWKit/Tests/FTWKitTests/LoadShapeDraftTests.swift b/appleApp/FTWKit/Tests/FTWKitTests/LoadShapeDraftTests.swift
new file mode 100644
index 0000000..a1bab58
--- /dev/null
+++ b/appleApp/FTWKit/Tests/FTWKitTests/LoadShapeDraftTests.swift
@@ -0,0 +1,125 @@
+import Foundation
+import Testing
+@testable import FTWKit
+
+@Suite struct LoadShapeDraftTests {
+    private let quarter = 900_000.0
+
+    private func draft(_ values: [Double], fromMs: Double = 0) throws -> LoadShapeDraft {
+        try LoadShapeDraft(slots: values.enumerated().map { i, watts in
+            .init(startMs: fromMs + Double(i) * quarter,
+                  endMs: fromMs + Double(i + 1) * quarter, baseWatts: watts)
+        })
+    }
+
+    @Test func raisesAZeroColdStartInWatts() throws {
+        let base = try draft([0, 0, 0])
+        let raised = try base.pulling(atMs: 1.5 * quarter, byWatts: 500, radiusMs: quarter, nowMs: 0)
+        #expect(raised.slots.map(\.watts) == [0, 500, 0])
+        #expect(base.slots.map(\.watts) == [0, 0, 0])
+    }
+
+    @Test func nearbyIntervalsMoveLessAndDistantOnesStayPut() throws {
+        let base = try draft(Array(repeating: 1_000, count: 7))
+        let changed = try base.pulling(atMs: 3.5 * quarter, byWatts: 800, radiusMs: 2 * quarter, nowMs: 0)
+        #expect(changed.slots.map(\.watts) == [1_000, 1_000, 1_337.5, 1_800, 1_337.5, 1_000, 1_000])
+    }
+
+    @Test func pastAndInFlightIntervalsStayPut() throws {
+        let base = try draft([700, 800, 900])
+        let changed = try base.pulling(atMs: 1.5 * quarter, byWatts: -500, radiusMs: 3 * quarter, nowMs: quarter + 1)
+        #expect(changed.slots[0] == base.slots[0])
+        #expect(changed.slots[1] == base.slots[1])
+        #expect(changed.slots[2].watts < 900)
+    }
+
+    @Test func aDownwardPullStopsAtZeroAndKeepsTheBase() throws {
+        let changed = try draft([200]).pulling(atMs: quarter / 2, byWatts: -600, radiusMs: quarter, nowMs: 0)
+        #expect(changed.slots[0].watts == 0)
+        #expect(changed.slots[0].baseWatts == 200)
+        #expect(changed.changes(nowMs: 0).count == 1)
+    }
+
+    @Test func returningTheFingerToItsStartRestoresTheGestureSnapshot() throws {
+        let before = try draft([800, 1_000, 800])
+        // The UI replaces its preview from `before` on every event.
+        for delta in [100.0, 350, -200] {
+            _ = try before.pulling(atMs: 1.5 * quarter, byWatts: delta, radiusMs: 2 * quarter, nowMs: 0)
+        }
+        let returned = try before.pulling(atMs: 1.5 * quarter, byWatts: 0, radiusMs: 2 * quarter, nowMs: 0)
+        #expect(returned == before)
+        #expect(returned.changes(nowMs: 0).isEmpty)
+    }
+
+    @Test func aLaterGestureCanReshapeAnExistingEditAndUndoIsAValue() throws {
+        let base = try draft([800])
+        let first = try base.pulling(atMs: quarter / 2, byWatts: 500, radiusMs: quarter, nowMs: 0)
+        let second = try first.pulling(atMs: quarter / 2, byWatts: -300, radiusMs: quarter, nowMs: 0)
+        #expect(second.slots[0].watts == 1_000)
+        #expect(first.slots[0].watts == 1_300)
+        #expect(base.slots[0].watts == 800)
+    }
+
+    @Test func resetOnlyClearsEditsInTheSelectedFutureWindow() throws {
+        let base = try draft([500, 500, 500, 500])
+        let changed = try base.pulling(atMs: 2 * quarter, byWatts: 400, radiusMs: 4 * quarter, nowMs: 0)
+        let reset = changed.resetting(in: quarter..<(3 * quarter), nowMs: quarter)
+        #expect(reset.slots[0] == changed.slots[0])
+        #expect(reset.slots[1] == base.slots[1])
+        #expect(reset.slots[2] == base.slots[2])
+        #expect(reset.slots[3] == changed.slots[3])
+    }
+
+    @Test func anExpiredEditIsNeverSubmitted() throws {
+        let changed = try draft([500, 500]).pulling(atMs: quarter, byWatts: 400, radiusMs: 2 * quarter, nowMs: 0)
+        #expect(changed.changes(nowMs: 1).map(\.startMs) == [quarter])
+        #expect(changed.changes(nowMs: 2 * quarter).isEmpty)
+    }
+
+    @Test func gapsStayMissing() throws {
+        let base = try LoadShapeDraft(slots: [
+            .init(startMs: 0, endMs: quarter, baseWatts: 500),
+            .init(startMs: 3 * quarter, endMs: 4 * quarter, baseWatts: 500),
+        ])
+        let changed = try base.pulling(atMs: 2 * quarter, byWatts: 300, radiusMs: 4 * quarter, nowMs: 0)
+        #expect(changed.slots.count == 2)
+        #expect(changed.slots.map(\.startMs) == [0, 3 * quarter])
+    }
+
+    @Test func repeatedLocalHoursKeepDistinctUtcIntervals() throws {
+        let start = ISO8601DateFormatter().date(from: "2026-10-25T00:00:00Z")!.timeIntervalSince1970 * 1_000
+        let base = try draft(Array(repeating: 500, count: 8), fromMs: start)
+        let changed = try base.pulling(atMs: start + 4.5 * quarter, byWatts: 300, radiusMs: quarter, nowMs: start)
+        #expect(changed.changes(nowMs: start).map(\.startMs) == [start + 4 * quarter])
+        #expect(changed.slots[0].watts == 500)
+        #expect(changed.slots[4].watts == 800)
+    }
+
+    @Test func invalidSlotsAreRejected() {
+        for slots: [LoadShapeDraft.Slot] in [
+            [.init(startMs: 0, endMs: 1, baseWatts: -.infinity)],
+            [.init(startMs: 0, endMs: 1, baseWatts: -1)],
+            [.init(startMs: .nan, endMs: 1, baseWatts: 100)],
+            [.init(startMs: 1, endMs: 1, baseWatts: 100)],
+            [.init(startMs: 0, endMs: .infinity, baseWatts: 100)],
+            [.init(startMs: 0, endMs: 2, baseWatts: 100), .init(startMs: 1, endMs: 3, baseWatts: 100)],
+        ] {
+            #expect(throws: LoadShapeDraft.Invalid.slots) { try LoadShapeDraft(slots: slots) }
+        }
+    }
+
+    @Test func invalidPullsAndOverflowAreRejectedWithoutChangingTheDraft() throws {
+        let base = try draft([Double.greatestFiniteMagnitude])
+        for (at, delta, radius, now): (Double, Double, Double, Double) in [
+            (.nan, 100, quarter, 0), (quarter / 2, .infinity, quarter, 0),
+            (quarter / 2, 100, 0, 0), (quarter / 2, 100, .infinity, 0),
+            (quarter / 2, 100, quarter, .nan), (-1, 100, quarter, 0),
+            (quarter / 2, .greatestFiniteMagnitude, quarter, 0),
+        ] {
+            #expect(throws: LoadShapeDraft.Invalid.pull) {
+                try base.pulling(atMs: at, byWatts: delta, radiusMs: radius, nowMs: now)
+            }
+        }
+        #expect(base.changes(nowMs: 0).isEmpty)
+    }
+}