long op• Data kinds: scalar × scalar × scalar → table
• Call: import fullseye as fs; fs.ledger.hill_start_rollback(theta: 'float', tau: 'float', a_drive: 'float', c_rr: 'float' = 0.012, a_creep: 'float' = 0.0, g: 'float' = 9.80665) -> 'Dict[str, float]' (to call the implementation directly, import drivelong; drivelong.hill_start_rollback(theta: 'float', tau: 'float', a_drive: 'float', c_rr: 'float' = 0.012, a_creep: 'float' = 0.0, g: 'float' = 9.80665) -> 'Dict[str, float]'; from the registry, opsdrive.get("hill_start_rollback"))
Rollback of a car stopped on an uphill (θ > 0) that releases the brake and gets drive a_drive after τ seconds (closed form without air resistance).
Downward acceleration during τ: a₁ = g sin θ − c_rr g cos θ − a_creep (no rollback if ≤ 0). Distance ½ a₁ τ², speed a₁ τ. Once drive engages, the backward motion is stopped by a₂ = a_drive − g sin θ + c_rr g cos θ (rolling resistance also opposes the motion) → (a₁ τ)²/(2 a₂).
dict : rollback (total [m]), during_gap (½ a₁ τ²), recovery ((a₁τ)²/(2a₂)), a1, a2, v_back.
If a₂ ≤ 0 (drive loses to the slope), rollback = inf.
Raises ValueError: τ < 0, a_drive ≤ 0, non-finite.
• Sample-data catalog (download URLs / licences) — 2-D uses skimage.data (BSD/public domain) plus synthetic images; 3-D lists download URLs for real data sources (Stanford, PDS, …).
• Operator provenance and references — the sources of the research/methods this op family came from.
• The canonical algorithm (author, year) and its uses are named in the family usage guide above.
• poc_driving_longitudinal — py -3.11 examples/poc_driving_longitudinal.py
table as input)course_layout · course_occupancy · course_contains · world_build · world_camera · world_move · lidar_scan · rss_longitudinal_same
long)long_params · road_profile · road_eval · long_simulate · long_energy_residual · stopping_distance_grade · stop_line_plan · plan_command
*Provenance: drivelong.py — DRIVE operator registry. This per-op note is generated by tools/opdocs.py md (do not hand-edit).*
© 2026 Kazufumi Furuse — Fullseye operator documentation. Licensed under Apache-2.0.