FA-86978 / Physics integrator stability / Member archive

Accumulator adds unclamped frame deltas · case 03

A debugger pause produces a burst of dropped time and a huge catch-up.

Member previewVariant 3 · 3 implementations · 8 checks per implementation

Case contract

solve(frames, dt, max_frame, max_steps): game loop accumulator. Each frame delta is clamped to max_frame and added; run steps while acc >= dt up to max_steps; if a full dt still remains, whole multiples of dt are dropped (spiral-of-death guard). Return [steps per frame, acc/dt after last frame, dropped time].

Why this case matters

Game and robotics physics loops depend on integrator update order, step control and stabilization terms; a wrong decision point turns a stable simulation into drifting or exploding motion.

One recorded failure

Sample boundary fixture

This sample comes from the broken implementation of a controlled reproducer.

Boundary fixture	Actual	Expected	Outcome
case 1	`[[5, 5, 5, 5, 0, 5], 0.0, 0.9375]`	`[[5, 5, 5, 5, 0, 5], 0.0, 0.5625]`	Failed

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This record includes three runnable implementations, regression fixtures, execution results, and source hashes.

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