cscalar_to_polar — REPRCONV algebra op

• Data kinds: cscalar → pairs

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

Usage

Complex scalar → polar form pairs (1,2) = [|z|, arg z [deg]]. The exit from cscalar.

The complex scalar returned by cplx_contour_integral / cplx_cauchy_value has its own type because, mixed into measurement (real scalars only), it would make downstream code crash with a raw TypeError. As a polar pair it can be passed to the 1-D vocabulary.

The angle is in degrees. Round trip with polar_to_cscalar measured max|Δ| = 8.9e-16.

Args:

cscalar: complex (or a complex 0-d array).

Returns:

(1, 2) float64.

Raises:

ValueError: not a complex scalar / 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 pairs as input)

angles_to_normals · shape_index_to_curvature · pairs_to_signal · pairs_to_image2d · pairs_to_table · polar_to_cscalar

Same category (algebra)

angle_to_matrix · matrix_to_angle · rot_scale_to_matrix · matrix_to_rot_scale · shift_to_vector · vector_to_shift · polar_to_cscalar · 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.