Optimize Deep-Zoom Mandelbrot Renderer

I have an iOS fractal explorer written in Swift that uses Metal for GPU rendering. It already implements a deep-zoom Mandelbrot path based on perturbation and float-float style precision splitting (reference orbit + shader-side deltas). At moderate zoom levels the app behaves well, but beyond roughly 1e5 magnification the two Mandelbrot paths begin to fail in different ways: - The normal Mandelbrot renderer becomes visibly pixelated and resolution-limited. - The deep Mandelbrot renderer based on perturbation does not merely become pixelated; instead, it starts to lose fine structural detail. Regions that should contain rich micro-structure turn into flat, smoothed, or incorrect-looking areas, sometimes with visible tile artefacts. During continuous zooming and panning, performance also drops sharply. So the problem is not just display resolution. The deeper issue appears to be that the perturbation-based renderer loses effective information depth / numerical fidelity at higher magnifications, possibly combined with inefficiencies in the current Swift/Metal pipeline (dispatch, buffering, tile scheduling, or memory access patterns). A core requirement is a seamless transition from the normal Mandelbrot renderer to the perturbation-based deep renderer at roughly 1e4 magnification. The handoff should be visually continuous, without a noticeable rendering discontinuity, and should allow continued deep zooming while preserving fine detail and interactive performance. I’m looking for someone who can analyze the current Swift/Metal pipeline, identify the real bottleneck(s), and implement a robust fix so that deep Mandelbrot zooming remains visually correct and interactive over much larger magnification ranges. You are free to improve or replace the current precision strategy if needed — for example with double-double arithmetic, a more stable perturbation approach, rebasing / rescaling techniques, or a CPU-side high-precision reference fallback — as long as the user experience stays responsive on device. Deliverables • Refactored Swift/Metal code for the Mandelbrot deep-zoom path • A seamless handoff from the normal renderer to the perturbation-based renderer around 1e4 magnification • Noticeably improved visual stability and retained fine detail at high magnification • Improved interactive performance during zooming and panning • A short technical note explaining the chosen precision strategy, performance tradeoffs, and possible future extensions Preferred outcomes – The standard Mandelbrot path may remain limited by screen-space resolution, but should hand off cleanly to the deep renderer at around 1e4 magnification – The deep Mandelbrot path should preserve fine structure well beyond the current limit – No visible corruption, flat detail collapse, or unstable tile artefacts during normal interactive use – Continued zooming should remain visually smooth and comfortably interactive on recent iPhones / iPads – Xcode project builds cleanly If you are experienced with floating-point numerics, perturbation rendering, Swift, Metal, and GPU optimization on Apple mobile (iOS / iPadOS) devices, I’d be very interested in your approach.

ID do Projeto: 40300745