raygeo.ops.part.crescent

Functions

cut_area()

cut_area(
    c1: tuple[float, float],
    c2: tuple[float, float],
    radius: float,
    fragments: Sequence[Sequence[tuple[float, float]]],
    valid_area: Sequence[Sequence[tuple[float, float]]],
) -> tuple[float, float]

Area of disk(c2) − disk(c1) − fragments, intersected with valid_area.

Returns (total, left) where left is the portion on the left side of the step vector c1 → c2.

Parameter	Type	Description
c1	tuple[float, float]	Previous centre (x, y).
c2	tuple[float, float]	Next centre (x, y).
radius	float	Disk radius (mm).
fragments	Sequence[Sequence[tuple[float, float]]]	List of polygons (cleared fragments).
valid_area	Sequence[Sequence[tuple[float, float]]]	Valid region polygons (intersection).
Returns	tuple[float, float]	(total_area, left_area) (mm²).

Disk increment (red): stepping C1 to C2; left full, right shows reduction with a cleared fragment

Crescent area vs step d compared to analytical formula; right shows left-side portion

2D heatmap of cut_area as c2 orbits c1; zero at coincidence, maximal at mid distances

Vertical-wall fragment sweeping crescent; left shows geometry, right plots area vs wall position

Crescent clipped to valid_area: no clip, left-half window, tip window; faint gray = unclipped