interp_poly opsignal → rootsimport fullseye as fs; fs.ledger.poly_roots(coeffs, real_only=False, imag_tol=1e-09) (実装を直接呼ぶなら import mathops; mathops.poly_roots(coeffs, real_only=False, imag_tol=1e-09)、台帳から引くなら opsmath.get("poly_roots"))All roots of a polynomial (coefficients highest-power-first) — complex included.
Roots are the eigenvalues of the companion matrix (np.roots); the
polynomial must have degree ≥ 1 and a non-zero leading coefficient
(fail-closed: a zero leading coefficient means the stated degree is a lie —
trim it explicitly rather than have it silently dropped).
Returns complex128, sorted by real part then imaginary part
(deterministic). Complex answers are honest answers: x² + 1 really does
have roots ±i, and hiding them would misreport the polynomial. Pass
real_only=True to keep only roots whose imaginary part is negligible
(|imag| <= imag_tol * max(1, |root|)) and get them back as a sorted
float64 array — possibly empty, which is the correct answer for
x² + 1.
Numerical note: root-finding conditioning degrades with degree and with
clustered roots (a double root moves ~sqrt(eps) under coefficient
noise — Wilkinson’s classic analysis); treat high-degree roots as
approximate. HALCON: no root-finding tuple operator.
mathops の全 op は入力を検証してから計算する(黙って通さない):
ValueError — float64 への強制変換は虚部を黙って捨てる(numpy は ComplexWarning だけ出して「もっともらしく間違った」実数を返す)。.real/.imag/abs() を明示するか、複素対応の complexops を使う。ValueError — マスクを剥がして下の生値を使う暗黙変換を拒否。埋める/落とすを明示する。ValueError(件数を明示して拒否 — 結果全体に伝播するため)。ValueError。reshape を明示する)。stat_histogram の bins は mathops.MAX_ELEMENTS(2^26 ≈ 6700 万要素)超で ValueError。py -3.11 examples/math_metrology.pyroots を入力に取れる)—
interp_poly)interp_linear · interp_cubic · interp_scattered · poly_fit · poly_eval
Provenance: mathops.py — MATH operator registry. この per-op ノートは tools/opdocs.py md が自動生成(手編集しない)。
© 2026 Kazufumi Furuse — Fullseye operator documentation. Licensed under Apache-2.0.