DynamicGeometrySandbox

A small SwiftUI app for validating the DynamicGeometry Swift package on iPhone and iPad.

The app provides a Geometry Lab for:

• Building points, segments, lines, rays, circles, ellipses, polylines, and closed custom shapes
• Removing one construction entity with dependency-aware cascade deletion, or undoing the edit
• Graphing free-form expressions with package-owned explicit-curve definitions and safe branches
• Exploring package-owned left, right, and midpoint Riemann sums plus two-sided limits
• Inspecting polar and implicit curves, projected 3D meshes, symbolic derivatives, and local simultaneous constraint solves in the Advanced Math lab
• Stressing overlaps, deep chains, Codable round trips, invalid rollback, and incremental fan-out
• Revisiting a draggable, animated unit circle with undo, redo, save, and reopen controls

See GEOMETRY_LAB.md for formula syntax, workflows, and extension instructions.

Run

1. Keep DynamicGeometry and DynamicGeometrySandbox beside each other in the same directory.
2. Open DynamicGeometrySandbox.xcodeproj in Xcode.
3. Select an iPhone, iPad, or simulator.
4. Build and run the DynamicGeometrySandbox scheme.
5. Use Construction and Function labs for experiments, then use Incremental in Stress to record p95 update time and affected-entity counts at 100, 1,000, and 10,000 dependents.
6. Use Advanced to vary resolution and one meaningful parameter across every roadmap engine.

The sandbox uses a relative local package reference so package changes can be tested immediately.

Xcode previews

Open DynamicGeometrySandbox/PreviewGallery.swift and resume the Canvas. It provides previews for:

• A package-scenario gallery covering circle-with-axes, dependency, overlap, affine-transform, and sampled-integral constructions
• The complete Sandbox navigation
• Construction tools
• The draggable, persisted unit circle
• Package-backed function graph, Riemann-sum, and limit experiments
• Advanced polar, implicit, 3D, symbolic, and constraint experiments
• Package stress experiments

The scenario gallery creates real DynamicGeometry scenes. Its scenarios are also validated, encoded, and decoded by the unit-test target, so the preview fixtures cannot silently drift away from the package API.

Development checks

make format
make check

The test target also runs the representative 100/1,000/10,000 incremental fan-out cases. These are measurement tests: they verify correctness and print device-specific p95 timings without imposing a hardware-dependent performance threshold.