tilt_wedge_retained — DRIVE `scoop` op

• Data kinds: scalar × scalar × scalar × scalar → table

• Call: import fullseye as fs; fs.ledger.tilt_wedge_retained(theta_deg: 'float', phi_deg: 'float', L: 'float', h0: 'float') -> 'dict' (to call the implementation directly, import scoop; scoop.tilt_wedge_retained(theta_deg: 'float', phi_deg: 'float', L: 'float', h0: 'float') -> 'dict'; from the registry, opsdrive.get("tilt_wedge_retained"))

Usage

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

口に壁の無い器(床の長さ `L、奥壁は床に垂直で十分高い)に深さ h0` で平らに盛った粉を、口を下げて θ 傾けた

ときに残る量(2 次元断面、準静的、自分の導出)。

口の前面は初めから安息角 φ の斜面(口に壁が無いので垂直の崖は立たない)。傾けると口を通る斜面は水平から φ を

保ち、床から見ると `φ − θ。奥の平らな面は床に平行のまま(θ < φ` で安定)。保持断面

`A(θ) = ∫₀ᴸ min(h₀, x tan(φ − θ)) dx、出た割合 F = 1 − A(θ) / A(0)`。出始めは θ = 0⁺(前面の楔からすぐ

こぼれる)、斜面が奥壁に届く角 `θ_b = φ − atan(h₀ / L)`、θ ≥ φ で全部出る。

式は granular の `spoon_tilt_dispense(lip="open")` を呼ぶ(保持断面の式は granular の 1 か所だけ)。参考に口に縁がある器

(`lip="wall"、初めの量 L h₀、θ_c までこぼれない)の割合 F_lip_wall と theta_c_lip_wall_deg` も返す(MuJoCo の

口の開いた樋でどちらが合うかを比べるため)。

返り: `A, A0, fraction, theta_back_deg, F_lip_wall, theta_c_lip_wall_deg`。

Raises `ValueError: θ が [0, 90) の外、φ が (0, 90) の外、L・h0` が ≤ 0。

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_powder_scoop_pour — py -3.11 examples/poc_powder_scoop_pour.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 (`scoop`)

spoon_bowl_volume · scoop_synth_side · revolution_volume_side · two_view_volume · scoop_volume_read · scoop_count · scoop_image_limit · tilt_pour_rate

*Provenance: scoop.py — DRIVE operator registry. This per-op note is generated by tools/opdocs.py md (do not hand-edit).*

tilt_wedge_retained — DRIVE scoop op