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: 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: int: Maximum of numerator and denominator degrees.

degrees

JuliaRatfun.degrees()

Get the numerator and denominator degrees.

Returns: tuple: (numerator_degree, denominator_degree).

get

JuliaRatfun.get(field)

Get a property from the underlying Julia object.

Args: field: Name of the property to retrieve.

Returns: The value of the requested property.

isempty

JuliaRatfun.isempty()

Check if the rational function is empty/undefined.

Returns: bool: True if the function is empty.

isreal

JuliaRatfun.isreal()

Check if the rational function has real coefficients.

Returns: bool: True if all coefficients are real.

poles

JuliaRatfun.poles()

Compute the poles of the rational function.

Returns: np.ndarray: Array of pole locations in the complex plane.

residues

JuliaRatfun.residues()

Compute poles and their residues.

Returns: tuple: (poles, residues) as numpy arrays.

roots

JuliaRatfun.roots()

Compute the zeros of the rational function.

Returns: np.ndarray: Array of zero locations in the complex plane.