Arc

class Arc(center: ndarray[3], start: ndarray[3], midpoint: ndarray[3], end: ndarray[3], attributes: ElementAttributes)

An Arc represents a circular arc in space.

Attributes

`angle_span`	The angle spanned by this arc.
`center`	The center of this arc.
`radius`	The radius of this arc.
`start_angle`	The angle of the start point on this arc's carrier.
`midpoint_angle`	The angle of the midpoint on this arc's carrier.
`end_angle`	The angle of the end point on this arc's carrier.
`endpoints`	(start point, end point) of this arc.
`carrier`	The `Carrier` underlying this element.
`attributes`	The `ElementAttributes` of this element.

Methods

`boolean_subtract`	Returns the boolean difference between this element and another.
`bulk_subtract`
`coincident_with`	Returns `True` if this element is coincident with another.
`contains_point`	Returns `True` if `point` is coincident to this element.
`equivalent_to`	Returns `True` if this element is equivalent to another.
`from_carrier_and_range`	Returns the `Arc` specified by the given `ArcCarrier` and the given range.
`is_embedded_in`	Returns `True` if this element is embedded in another.
`transform`	Transform this `Arc` by a given `Transformation`.

__le__(other): Calls is_embedded_in().

__rmatmul__(transformation: Transformation) → T_co: Computes transformable.transform(t) when performing t @ transformable for a Transformation t and TransformableMixin transformable.

__sub__(other): Calls boolean_subtract().

boolean_subtract(other: Arc) → List[Arc]: Returns the boolean difference between this element and another.

classmethod bulk_subtract(lhs: Sequence[E_co], rhs: Sequence[E_co]) → List[E_co]

coincident_with(other: Arc) → bool

Returns True if this element is coincident with another. This occurs when the result of maximizing the two elements returns an element that both are embedded in (see is_embedded_in()).

Specifically, the two elements must be coequal and at least one part of the boundary of one element must be contained within the boundary of the other.

Fuzzy with tolerance.

contains_point(point: ArrayLike) → bool: Returns True if point is coincident to this element. Fuzzy with tolerance.

equivalent_to(other: Arc) → bool: Returns True if this element is equivalent to another. They must be coequal and have equivalent boundaries. Fuzzy with tolerance.

classmethod from_carrier_and_range(carrier: ArcCarrier, arc_range: Tuple[float, float], attributes: ElementAttributes) → Arc: Returns the Arc specified by the given ArcCarrier and the given range. This range is equivalent to (arc.start_angle, arc.end_angle).

is_embedded_in(other: Arc) → bool

Returns True if this element is embedded in another. This occurs when the result of maximizing the two elements returns an element equivalent to the other.

Specifically, the two elements must be coequal and the boundary of this element must be entirely contained within the boundary of the other.

Fuzzy with tolerance.

transform(transformation: Transformation) → Arc: Transform this Arc by a given Transformation.

property angle_span: The angle spanned by this arc.

attributes: The ElementAttributes of this element. These must be equatable and hashable and are made to be immutable upon carrier initialization.

carrier: The Carrier underlying this element.

property center: ndarray[3]: The center of this arc.

end_angle: The angle of the end point on this arc’s carrier.

endpoints: Tuple[ndarray[3], ndarray[3]]: (start point, end point) of this arc.

midpoint_angle: The angle of the midpoint on this arc’s carrier.

property radius: The radius of this arc.

start_angle: The angle of the start point on this arc’s carrier.