JuliaRatfun

JuliaRatfun(julia_obj)

Python wrapper for Julia rational functions.

This class wraps Julia’s AbstractRationalFunction type, providing a Python interface for rational function operations including evaluation, arithmetic, and analysis of poles, zeros, and residues.

Attributes

Name	Type	Description
julia		The underlying Julia rational function object.

Methods

Name	Description
degree	Get the total degree of the rational function.
degrees	Get the numerator and denominator degrees.
get	Get a property from the underlying Julia object.
isempty	Check if the rational function is empty/undefined.
isreal	Check if the rational function has real coefficients.
poles	Compute the poles of the rational function.
residues	Compute poles and their residues.
roots	Compute the zeros of the rational function.

degree

JuliaRatfun.degree()

Get the total degree of the rational function.

Returns

Name	Type	Description
int		Maximum of numerator and denominator degrees.

degrees

JuliaRatfun.degrees()

Get the numerator and denominator degrees.

Returns

Name	Type	Description
tuple		(numerator_degree, denominator_degree).

get

JuliaRatfun.get(field)

Get a property from the underlying Julia object.

Parameters

Name	Type	Description	Default
field		Name of the property to retrieve.	required

Returns

Name	Type	Description
		The value of the requested property.

isempty

JuliaRatfun.isempty()

Check if the rational function is empty/undefined.

Returns

Name	Type	Description
bool		True if the function is empty.

isreal

JuliaRatfun.isreal()

Check if the rational function has real coefficients.

Returns

Name	Type	Description
bool		True if all coefficients are real.

poles

JuliaRatfun.poles()

Compute the poles of the rational function.

Returns

Name	Type	Description
		np.ndarray: Array of pole locations in the complex plane.

residues

JuliaRatfun.residues()

Compute poles and their residues.

Returns

Name	Type	Description
tuple		(poles, residues) as numpy arrays.

roots

JuliaRatfun.roots()

Compute the zeros of the rational function.

Returns

Name	Type	Description
		np.ndarray: Array of zero locations in the complex plane.