ContinuumApprox

ContinuumApprox(julia_obj)

Rational approximation on a continuum domain.

Represents a rational function approximation computed on a continuous domain such as a curve, path, or region in the complex plane. The approximation is constructed adaptively using methods like AAA or TCF.

Attributes

Name	Type	Description
julia		The underlying Julia ContinuumApproximation object.
original		The original function being approximated.
domain		The continuum domain (curve, path, or region).
fun		The rational function approximation (Thiele, Bary, etc.).
allowed		Allowed pole locations.
path		Integration path used in approximation.
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

ContinuumApprox.getfunction()

Get the underlying rational function.

Returns

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

isapprox

ContinuumApprox.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 test points.

nodes

ContinuumApprox.nodes()

Get the interpolation nodes of the approximation.

Returns

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

testpoints

ContinuumApprox.testpoints()

Get the test points used to validate the approximation.

Returns

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

values

ContinuumApprox.values()

Get the function values at the interpolation nodes.

Returns

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