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

Name	Type	Description
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.
status		ConvergenceStatus saying why the iteration stopped, or None if none was recorded.

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

Name	Type	Description
		Thiele, Bary, or JuliaRatfun: The rational function approximation.

isapprox

DiscreteApprox.isapprox(other)

Check if this approximation is close to another function.

Parameters

Name	Type	Description	Default
other		Another JuliaApprox or callable function.	required

Returns

Name	Type	Description
bool		True if approximations are close on all domain points.

nodes

DiscreteApprox.nodes()

Get the interpolation nodes of the approximation.

Returns

Name	Type	Description
		np.ndarray: Array of node locations.

testpoints

DiscreteApprox.testpoints()

Get the test points used to validate the approximation.

Returns

Name	Type	Description
		np.ndarray: Array of test point locations from the domain.

values

DiscreteApprox.values()

Get the function values at the interpolation nodes.

Returns

Name	Type	Description
		np.ndarray: Array of function values.