polar_to_cscalar — REPRCONV algebra op

• Data kinds: pairs → cscalar

• Call: import fullseye as fs; fs.ledger.polar_to_cscalar(pairs) (to call the implementation directly, import reprconv; reprconv.polar_to_cscalar(pairs); from the registry, opsreprconv.get("polar_to_cscalar"))

Usage

Polar form pairs (1,2) = [r, theta [deg]] → a complex scalar. The inverse of cscalar_to_polar.

Args:

pairs: (1, 2). r >= 0.

Returns:

complex.

Raises:

ValueError: shape is not (1,2) / r < 0 / non-finite.

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)

• representation_conversion — py -3.11 examples/representation_conversion.py

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

cscalar_to_polar

Same category (algebra)

angle_to_matrix · matrix_to_angle · rot_scale_to_matrix · matrix_to_rot_scale · shift_to_vector · vector_to_shift · cscalar_to_polar · countrate_to_counts

*Provenance: reprconv.py — REPRCONV 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.