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]¶ 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.
For explanation of
x_domain
,y_domain
,`x_window
and`y_window
see Notes regarding usage of domain and window. Parameters
 x_degree
int
degree in x
 y_degree
int
degree in y
 x_domain
tuple
orNone
, optional domain of the x independent variable
 x_window
tuple
orNone
, optional range of the x independent variable
 y_domain
tuple
orNone
, optional domain of the y independent variable
 y_window
tuple
orNone
, optional range of the y independent variable
 **params
dict
{keyword: value} pairs, representing {parameter_name: value}
 x_degree
Attributes Summary
The number of inputs.
The number of outputs.
Methods Summary
__call__
(*inputs[, 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.
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

n_inputs
= 2¶ The number of inputs.

n_outputs
= 1¶ The number of outputs.

x_domain
¶

x_window
¶

y_domain
¶

y_window
¶
Methods Documentation

__call__
(*inputs, model_set_axis=None, with_bounding_box=False, fill_value=nan, equivalencies=None, inputs_map=None, **new_inputs)¶ Evaluate this model using the given input(s) and the parameter values that were specified when the model was instantiated.

get_num_coeff
()[source]¶ Determine how many coefficients are needed
 Returns
 numc
int
number of coefficients
 numc

prepare_inputs
(x, y, **kwargs)[source]¶ 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.