dynsys opなし → flow2d(引数だけで決まる op —— 画像やデータの入力を取らない)import fullseye as fs; fs.ledger.ode_vector_field_grid(system='rossler', params=None, bounds=(-10.0, 10.0, -10.0, 10.0), shape=(64, 64), plane='xy', offset=0.0) (実装を直接呼ぶなら import mathops; mathops.ode_vector_field_grid(system='rossler', params=None, bounds=(-10.0, 10.0, -10.0, 10.0), shape=(64, 64), plane='xy', offset=0.0)、台帳から引くなら opsmath.get("ode_vector_field_grid"))Sample a named field on a grid — a flow2d the existing viewers take.
Returns (2, H, W) with components (dy, dx) — the library’s
flow2d layout — so the existing flow2d viewers render it with no new
drawing code: piv_flow_to_rgbimage (colour wheel), piv_flow_magnitude and
piv_line_integral_convolution (texture along the flow), piv_quiver
(arrows) and piv_streamline_image / piv_streamlines (evenly spaced
streamlines). (★2026-10-03: this docstring used to name “quiver, streamlines,
flow_magnitude” before any quiver or streamline op existed; they were added the
same day. fs.flow_magnitude takes two components, not a flow2d array.) For a
3-D system, plane picks the slice (xy / xz / yz) and offset
fixes the third coordinate.
★Why this earns its place: it is the bridge that keeps this family from
growing its own renderer. The vectors are the same _dyn_derivative the
integrator uses, so what you see is what gets integrated.
★The layout is channel-first, not the (H, W, 2) that reads more
naturally here: flow2d is an existing type with an existing predicate and
existing consumers, and a row that declares flow2d while returning the
transpose is a type lie the fuzzer catches (it did —— 2026-09-23). Row 0 is
the top (the image convention), so the vertical component is negated to
match what the viewer draws.
Raises ValueError: unknown system or plane; a grid over the cap;
non-finite bounds; a degenerate window.
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/poc_what_a_picture_cannot_check.pyflow2d を入力に取れる)—
dynsys)ode_flow_states · dynsys_poincare_section · dynsys_lyapunov_spectrum · dynsys_bifurcation_map · dynsys_correlation_dimension
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.