# OrthoPolynomialBase¶

class astropy.modeling.polynomial.OrthoPolynomialBase(x_degree, y_degree, x_domain=None, x_window=None, y_domain=None, y_window=None, n_models=None, model_set_axis=None, name=None, meta=None, **params)[source] [edit on github]

Bases: astropy.modeling.polynomial.PolynomialBase

This is a base class for the 2D Chebyshev and Legendre models.

The polynomials implemented here require a maximum degree in x and y.

Parameters: x_degree : int degree in x y_degree : int degree in y x_domain : list or None, optional domain of the x independent variable x_window : list or None, optional range of the x independent variable y_domain : list or None, optional domain of the y independent variable y_window : list or None, optional range of the y independent variable **params : dict {keyword: value} pairs, representing {parameter_name: value}

Attributes Summary

Methods Summary

 __call__(x, y[, model_set_axis, …]) Evaluate this model using the given input(s) and the parameter values that were specified when the model was instantiated. evaluate(x, y, *coeffs) Evaluate the model on some input variables. get_num_coeff() Determine how many coefficients are needed imhorner(x, y, coeff) invlex_coeff(coeffs) prepare_inputs(x, y, **kwargs) This method is used in __call__ to ensure that all the inputs to the model can be broadcast into compatible shapes (if one or both of them are input as arrays), particularly if there are more than one parameter sets.

Attributes Documentation

inputs = ('x', 'y')
outputs = ('z',)

Methods Documentation

__call__(x, y, model_set_axis=None, with_bounding_box=False, fill_value=nan, equivalencies=None) [edit on github]

Evaluate this model using the given input(s) and the parameter values that were specified when the model was instantiated.

evaluate(x, y, *coeffs)[source] [edit on github]

Evaluate the model on some input variables.

get_num_coeff()[source] [edit on github]

Determine how many coefficients are needed

Returns: numc : int number of coefficients
imhorner(x, y, coeff)[source] [edit on github]
invlex_coeff(coeffs)[source] [edit on github]
prepare_inputs(x, y, **kwargs)[source] [edit on github]

This method is used in __call__ to ensure that all the inputs to the model can be broadcast into compatible shapes (if one or both of them are input as arrays), particularly if there are more than one parameter sets. This also makes sure that (if applicable) the units of the input will be compatible with the evaluate method.