sisl.shape.Sphere

class sisl.shape.Sphere(radius, center=None)

Bases: Ellipsoid

3D Sphere

Parameters:

r (float) – radius of the sphere

Methods

copy()	Create a new copy of this object.
expand(radius)	Expand sphere by a constant radius
scale(scale)	Return a new sphere with a larger radius
toCuboid()	Return a cuboid with side lengths equal to the diameter of each ellipsoid vectors
toEllipsoid()	Convert this sphere into an ellipsoid
toSphere()	Return a copy of it-self
translate(xyz)	Translate the center of the shape by xyz.
within(other, *args, **kwargs)	Return True if other is fully within self
within_index(other[, tol])	Return indices of the points that are within the shape
center	The geometric center of the shape
radial_vector	The radial vectors
radius	Return the radius of the Sphere
to	A dispatcher for classes, using __get__ it converts into ObjectDispatcher upon invocation from an object, or a TypeDispatcher when invoked from a class
volume	Return the volume of the sphere

__init__(radius, center=None)

property center

The geometric center of the shape

copy()

Create a new copy of this object.

expand(radius)

Expand sphere by a constant radius

Parameters:

radius (float) – the extension in Ang per ellipsoid radial vector

property radial_vector

The radial vectors

property radius

Return the radius of the Sphere

scale(scale)

Return a new sphere with a larger radius

Parameters:

scale (float) – the scale parameter for the radius

to

A dispatcher for classes, using __get__ it converts into ObjectDispatcher upon invocation from an object, or a TypeDispatcher when invoked from a class

This is a class-placeholder allowing a dispatcher to be a class attribute and converted into an ObjectDispatcher when invoked from an object.

If it is called on the class, it will return a TypeDispatcher.

This class should be an attribute of a class. It heavily relies on the __get__ special method.

Parameters:

• name (str) – name of the attribute in the class

• dispatchs (dict, optional) – dictionary of dispatch methods

• obj_getattr (callable, optional) – method with 2 arguments, an obj and the attr which may be used to control how the attribute is called.

• instance_dispatcher (AbstractDispatcher, optional) – control how instance dispatchers are handled through __get__ method. This controls the dispatcher used if called from an instance.

• type_dispatcher (AbstractDispatcher, optional) – control how class dispatchers are handled through __get__ method. This controls the dispatcher used if called from a class.

Examples

>>> class A:
...   new = ClassDispatcher("new", obj_getattr=lambda obj, attr: getattr(obj.sub, attr))

The above defers any attributes to the contained A.sub attribute.

toCuboid()

Return a cuboid with side lengths equal to the diameter of each ellipsoid vectors

toEllipsoid()

Convert this sphere into an ellipsoid

toSphere()

Return a copy of it-self

translate(xyz: Sequence[float])

Translate the center of the shape by xyz.

Parameters:

xyz (Sequence[float])

property volume

Return the volume of the sphere

within(other, *args, **kwargs)

Return True if other is fully within self

If other is an array, an array will be returned for each of these.

Parameters:

• other (array_like) – the array/object that is checked for containment

• *args – passed directly to within_index

• **kwargs – passed directly to within_index

within_index(other, tol=1e-08)

Return indices of the points that are within the shape

Parameters:

• other (array_like) – the object that is checked for containment

• tol (float, optional) – absolute tolerance for boundaries