elliptic_k_agm — DRIVE kendama op

• Data kinds: none → scalar (an op determined by its arguments alone — it takes no image or data input)

• Call: import fullseye as fs; fs.ledger.elliptic_k_agm(k) -> 'float' (to call the implementation directly, import kendama; kendama.elliptic_k_agm(k) -> 'float'; from the registry, opsdrive.get("elliptic_k_agm"))

Usage

Complete elliptic integral of the first kind K(k) = ∫₀^{π/2} dφ / √(1 − k² sin² φ) via the arithmetic-geometric mean: K(k) = π / (2·AGM(1, √(1 − k²))). |k| < 1 (otherwise ValueError). Gate: K(0) = π/2, K(0.5) = 1.685750354812596 (published value, parameter m = k² = 0.25).

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_kendama — py -3.11 examples/poc_kendama.py

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

spin_from_marker_sequence · carla_transform_matrix · carla_pose_to_world · carla_camera_pose · carla_xy_yaw · carla_scene_load · town_chain · osm_parse

Same category (kendama)

kendama_params · pendulum_period_exact · pendulum_launch_speed · pendulum_rod_simulate · tether_tension_fixed · tether_slack_angle · swing_up_plan · swing_up_apex

*Provenance: kendama.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.