wmpy.integration.axisaligned.AxisAlignedWrapper

class AxisAlignedWrapper(integrator)

Bases: object

This class implements an integration wrapper for efficiently handling axis-aligned integration bounds.

The enclosed integrator is called whenever the problem doesn’t fall into this subcase.

Default constructor.

Parameters:

integrator (Integrator) – the enclosed integrator instance

Methods

integrate	Computes a convex integral.
integrate_batch	Computes a batch of integrals.

integrate(polytope, polynomial)

Computes a convex integral.

If the integration bounds are axis-aligned, the integral is computed in closed form.

Parameters:

• polytope (Polytope) – convex integration bounds (a Polytope)

• polynomial (Polynomial) – integrand (a Polynomial)

Return type:

float

Returns:

The result of the integration as a non-negative scalar value.

integrate_batch(convex_integrals)

Computes a batch of integrals.

Parameters:

convex_integrals (Collection[tuple[Polytope, Polynomial]]) – a collection of bounds/integrand pairs

Return type:

ndarray

Returns:

The result of the batch of integrations as a numpy array.