idm_equilibrium_gap — DRIVE `traffic` op

• Data kinds: any → any

• Call: import fullseye as fs; fs.ledger.idm_equilibrium_gap(v, *, v0: 'float', T: 'float', s0: 'float', delta: 'float' = 4.0) (to call the implementation directly, import drivetraffic; drivetraffic.idm_equilibrium_gap(v, *, v0: 'float', T: 'float', s0: 'float', delta: 'float' = 4.0); from the registry, opsdrive.get("idm_equilibrium_gap"))

Usage

Equilibrium gap of the IDM s_e(v) = (s0 + v T) / sqrt(1 − (v/v0)^δ) (0 ≤ v < v0).

Obtained by setting idm_accel = 0 with Δv = 0 and solving (s* = s0 + vT). It diverges as v → v0 (at the desired speed no gap is needed = the vehicle ahead is infinitely far). Independent of a and b.

Gate: when the leading vehicle drives at constant speed, it agrees with the gap that idm_platoon_simulate converges to within rtol 1e-6.

Raises ValueError: v < 0 or v ≥ v0.

Empty input (v with 0 elements) raises ValueError.

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_traffic — py -3.11 examples/poc_driving_traffic.py

Ops the type connects to (they accept `any` as input)

course_crank · course_s_curve · course_turnaround · course_slope · course_intersection · course_parallel_parking · course_crossing · course_road

Same category (`traffic`)

idm_accel · idm_platoon_simulate · driver_style · lateral_wobble · ou_estimate · social_force_step · pedestrian_crossing · occlusion_reveal_distance

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

idm_equilibrium_gap — DRIVE traffic op