hill_start_rollback — DRIVE 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"))

Usage

> This operator's description has not been translated yet. The original text follows as it is.

上り坂(θ > 0)で止まった車がブレーキを離し、τ 秒後に駆動 a_drive が入るときのずり下がり(空気抵抗なしの閉形式)。

τ の間の下向きの加速度 a₁ = g sin θ − c_rr g cos θ − a_creep(≤ 0 ならずり下がらない)。距離 ½ a₁ τ²、速さ a₁ τ。

駆動が入ると後ろ向きの動きを a₂ = a_drive − g sin θ + c_rr g cos θ で止める(転がり抵抗も動きに逆らう)→ (a₁ τ)²/(2 a₂)。

Returns

-------

dict : `rollback(合計 [m])、during_gap(½ a₁ τ²)、recovery((a₁τ)²/(2a₂))、a1、a2、v_back`。

a₂ ≤ 0(駆動が坂に負ける)なら rollback = inf。

Raises `ValueError`: τ < 0、a_drive ≤ 0、非有限。

References (sample data, literature)

• 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.

Runnable examples (verified samples that actually call this op)

• poc_driving_longitudinal — py -3.11 examples/poc_driving_longitudinal.py

Ops the type connects to (they accept table as input)

course_layout · course_occupancy · course_contains · world_build · world_camera · world_move · lidar_scan · rss_longitudinal_same

Same category (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.