diff --git a/GF/DeviceSwiftShims/Util/AdditiveArithmetic.swift b/GF/DeviceSwiftShims/Util/AdditiveArithmetic.swift
new file mode 100644
index 0000000..b288ee3
--- /dev/null
+++ b/GF/DeviceSwiftShims/Util/AdditiveArithmetic.swift
@@ -0,0 +1,69 @@
+//
+//  AdditiveArithmetic.swift
+//  Gestures
+//
+//  Audited for 9126.1.5
+//  Status: Complete
+
+import CoreGraphics
+
+// MARK: - _AdditiveArithmetic
+
+package protocol _AdditiveArithmetic: Equatable {
+    static var zero: Self { get }
+
+    static func + (lhs: Self, rhs: Self) -> Self
+    static func += (lhs: inout Self, rhs: Self)
+    static func - (lhs: Self, rhs: Self) -> Self
+    static func -= (lhs: inout Self, rhs: Self)
+}
+
+extension _AdditiveArithmetic {
+    package static func += (lhs: inout Self, rhs: Self) {
+        lhs = lhs + rhs
+    }
+
+    package static func -= (lhs: inout Self, rhs: Self) {
+        lhs = lhs - rhs
+    }
+}
+
+// MARK: - Double + _AdditiveArithmetic
+
+extension Double: _AdditiveArithmetic {}
+
+// MARK: - CGPoint + _AdditiveArithmetic
+
+extension CGPoint: _AdditiveArithmetic {
+    package static func + (lhs: CGPoint, rhs: CGPoint) -> CGPoint {
+        CGPoint(x: lhs.x + rhs.x, y: lhs.y + rhs.y)
+    }
+
+    package static func - (lhs: CGPoint, rhs: CGPoint) -> CGPoint {
+        CGPoint(x: lhs.x - rhs.x, y: lhs.y - rhs.y)
+    }
+}
+
+// MARK: - CGVector + _AdditiveArithmetic
+
+extension CGVector: _AdditiveArithmetic {
+    package static func + (lhs: CGVector, rhs: CGVector) -> CGVector {
+        CGVector(dx: lhs.dx + rhs.dx, dy: lhs.dy + rhs.dy)
+    }
+
+    package static func - (lhs: CGVector, rhs: CGVector) -> CGVector {
+        CGVector(dx: lhs.dx - rhs.dx, dy: lhs.dy - rhs.dy)
+    }
+}
+
+// MARK: - CGSize + _AdditiveArithmetic
+
+extension CGSize: _AdditiveArithmetic {
+    package static func + (lhs: CGSize, rhs: CGSize) -> CGSize {
+        CGSize(width: lhs.width + rhs.width, height: lhs.height + rhs.height)
+    }
+
+    package static func - (lhs: CGSize, rhs: CGSize) -> CGSize {
+        CGSize(width: lhs.width - rhs.width, height: lhs.height - rhs.height)
+    }
+}
diff --git a/GF/DeviceSwiftShims/Util/LocationContaining.swift b/GF/DeviceSwiftShims/Util/LocationContaining.swift
index 0ab4746..2b53ab8 100644
--- a/GF/DeviceSwiftShims/Util/LocationContaining.swift
+++ b/GF/DeviceSwiftShims/Util/LocationContaining.swift
@@ -29,9 +29,26 @@ extension Never: LocationContaining {
     }
 }
 
-// MARK: - IdentifiableLocation [WIP]
+// MARK: - IdentifiableLocation
 
-package struct IdentifiableLocation<ID> where ID: Hashable {
+package struct IdentifiableLocation<ID>: Identifiable where ID: Hashable {
     package var id: ID
     package var location: CGPoint
 }
+
+extension IdentifiableLocation: LocationContaining {}
+
+extension IdentifiableLocation: NestedCustomStringConvertible {}
+
+extension IdentifiableLocation: VectorContaining {
+    package typealias VectorType = CGPoint
+
+    package var vector: CGPoint {
+        get { location }
+        set { location = newValue }
+    }
+}
+
+extension IdentifiableLocation: ThresholdAdjustable {
+    package typealias Threshold = Double
+}
diff --git a/GF/DeviceSwiftShims/Util/ThresholdAdjustable.swift b/GF/DeviceSwiftShims/Util/ThresholdAdjustable.swift
new file mode 100644
index 0000000..e6f4100
--- /dev/null
+++ b/GF/DeviceSwiftShims/Util/ThresholdAdjustable.swift
@@ -0,0 +1,52 @@
+//
+//  ThresholdAdjustable.swift
+//  Gestures
+//
+//  Audited for 9126.1.5
+//  Status: Complete
+
+import CoreGraphics
+
+// MARK: - ThresholdAdjustable
+
+/// A value whose backing vector can consume a threshold-sized movement.
+package protocol ThresholdAdjustable: VectorContaining {
+    /// The scalar threshold type used to gate movement.
+    associatedtype Threshold
+
+    /// Consumes up to `threshold` units from `movement`.
+    ///
+    /// When `movement` reaches the threshold, this subtracts the threshold-sized
+    /// portion of `movement` from `vector` and returns that consumed movement.
+    /// Returns `nil` without mutation when `threshold` is not positive or
+    /// `movement` is below threshold.
+    mutating func consume(_ threshold: Threshold, from movement: VectorType) -> VectorType?
+}
+
+extension ThresholdAdjustable where Threshold == Double {
+    package mutating func consume(_ threshold: Double, from movement: VectorType) -> VectorType? {
+        guard threshold > 0 else { return nil }
+
+        let movementMagnitude = movement.magnitude
+        guard movementMagnitude >= threshold else { return nil }
+
+        let scale = threshold / movementMagnitude
+        let consumedMovement = movement.scaled(by: scale)
+        vector -= consumedMovement
+        return consumedMovement
+    }
+}
+
+// MARK: - ThresholdAdjustable Conformance
+
+extension Double: ThresholdAdjustable {
+    package typealias Threshold = Double
+}
+
+extension CGPoint: ThresholdAdjustable {
+    package typealias Threshold = Double
+}
+
+extension CGVector: ThresholdAdjustable {
+    package typealias Threshold = Double
+}
diff --git a/GF/DeviceSwiftShims/Util/VectorArithmetic.swift b/GF/DeviceSwiftShims/Util/VectorArithmetic.swift
new file mode 100644
index 0000000..5225af0
--- /dev/null
+++ b/GF/DeviceSwiftShims/Util/VectorArithmetic.swift
@@ -0,0 +1,85 @@
+//
+//  VectorArithmetic.swift
+//  Gestures
+//
+//  Audited for 9126.1.5
+//  Status: Complete
+
+import CoreGraphics
+
+// MARK: - VectorArithmetic
+
+package protocol VectorArithmetic: _AdditiveArithmetic {
+    var magnitude: Double { get }
+
+    func scaled(by rhs: Double) -> Self
+}
+
+// MARK: - VectorArithmetic Conformance
+
+extension Double: VectorArithmetic {
+    package var magnitude: Double {
+        abs(self)
+    }
+
+    package func scaled(by rhs: Double) -> Double {
+        self * rhs
+    }
+}
+
+extension CGPoint: VectorArithmetic {
+    package var magnitude: Double {
+        hypot(abs(x), abs(y))
+    }
+
+    package func scaled(by rhs: Double) -> CGPoint {
+        CGPoint(x: x * rhs, y: y * rhs)
+    }
+}
+
+extension CGVector: VectorArithmetic {
+    package var magnitude: Double {
+        hypot(abs(dx), abs(dy))
+    }
+
+    package func scaled(by rhs: Double) -> CGVector {
+        CGVector(dx: dx * rhs, dy: dy * rhs)
+    }
+}
+
+// MARK: - VectorContaining
+
+package protocol VectorContaining {
+    associatedtype VectorType: VectorArithmetic
+
+    var vector: VectorType { get set }
+}
+
+// MARK: - VectorContaining Conformance
+
+extension Double: VectorContaining {
+    package typealias VectorType = Double
+
+    package var vector: Double {
+        get { self }
+        set { self = newValue }
+    }
+}
+
+extension CGPoint: VectorContaining {
+    package typealias VectorType = CGPoint
+
+    package var vector: CGPoint {
+        get { self }
+        set { self = newValue }
+    }
+}
+
+extension CGVector: VectorContaining {
+    package typealias VectorType = CGVector
+
+    package var vector: CGVector {
+        get { self }
+        set { self = newValue }
+    }
+}