DiscreteApprox

DiscreteApprox(julia_obj)

Rational approximation on a discrete point set.

Represents a rational function approximation computed on a discrete set of points in the complex plane. The approximation is constructed adaptively using methods like AAA or TCF.

Attributes: julia: The underlying Julia DiscreteApproximation object. data: The discrete data points and values. domain: The discrete point set (numpy array). fun: The rational function approximation (Thiele, Bary, etc.). test_index: Indices of points used for testing. allowed: Allowed pole locations. history: History of the approximation process.

Methods

Name	Description
getfunction	Get the underlying rational function.
isapprox	Check if this approximation is close to another function.
nodes	Get the interpolation nodes of the approximation.
testpoints	Get the test points used to validate the approximation.
values	Get the function values at the interpolation nodes.

getfunction

DiscreteApprox.getfunction()

Get the underlying rational function.

Returns: Thiele, Bary, or JuliaRatfun: The rational function approximation.

isapprox

DiscreteApprox.isapprox(other)

Check if this approximation is close to another function.

Args: other: Another JuliaApprox or callable function.

Returns: bool: True if approximations are close on all domain points.

nodes

DiscreteApprox.nodes()

Get the interpolation nodes of the approximation.

Returns: np.ndarray: Array of node locations.

testpoints

DiscreteApprox.testpoints()

Get the test points used to validate the approximation.

Returns: np.ndarray: Array of test point locations from the domain.

values

DiscreteApprox.values()

Get the function values at the interpolation nodes.

Returns: np.ndarray: Array of function values.