Fix figure IK snapping and gate the library on a fail-hard motion checker
Three solver defects made limbs teleport, twist, or windmill: write-back angles wrapped at ±180 and lerped the long way around; branch flips landed on configurations the anatomical write-back cannot represent, silently pulling pinned extremities off their pins; and the degenerate straight-limb bend plane fell back to the camera axis instead of the anatomical anterior. solve_limb now verifies each branch reproduces the solved end before accepting it, resolve unwraps written-back angles toward the pose they replace, and the degenerate plane comes from the parent's anterior axis. render.py --check replays every exercise's full tween loop and fails hard on six invariants (pin fidelity, continuity, wraps, authored-vs-resolved drift, ground penetration, resolved ROM); --export refuses to ship a failing exercise. All 66 motions re-authored or retouched to pass: honest authored angles where pins used to override them silently, grounded feet on the seated machines, a vertical bench-press bar path, straight-armed child's pose, a butterfly stretch seated on the mat, and FK arms where pins forced impossible reaches. MotionSolver.swift mirrors the solver changes line for line, held by regenerated fixtures. Claude-Session: https://claude.ai/code/session_01PKptrgbx74peTwHGRxBojv
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