Const1D

class astropy.modeling.functional_models.Const1D(amplitude=1, **kwargs)

Bases: Fittable1DModel

One dimensional Constant model.

Parameters:

amplitudepython:float

Value of the constant function

Other Parameters:

fixeda python:dict, optional

A dictionary {parameter_name: boolean} of parameters to not be varied during fitting. True means the parameter is held fixed. Alternatively the fixed property of a parameter may be used.

tiedpython:dict, optional

A dictionary {parameter_name: callable} of parameters which are linked to some other parameter. The dictionary values are callables providing the linking relationship. Alternatively the tied property of a parameter may be used.

boundspython:dict, optional

A dictionary {parameter_name: value} of lower and upper bounds of parameters. Keys are parameter names. Values are a list or a tuple of length 2 giving the desired range for the parameter. Alternatively, the min and max properties of a parameter may be used.

eqconspython:list, optional

A list of functions of length n such that eqcons[j](x0,*args) == 0.0 in a successfully optimized problem.

ineqconspython:list, optional

A list of functions of length n such that ieqcons[j](x0,*args) >= 0.0 is a successfully optimized problem.

See also

Const2D

Notes

Model formula:

\[f(x) = A\]

Examples

import numpy as np
import matplotlib.pyplot as plt

from astropy.modeling.models import Const1D

plt.figure()
s1 = Const1D()
r = np.arange(-5, 5, .01)

for factor in range(1, 4):
    s1.amplitude = factor
    plt.plot(r, s1(r), color=str(0.25 * factor), lw=2)

plt.axis([-5, 5, -1, 4])
plt.show()

(png, svg, pdf)

Attributes Summary

amplitude
input_units	This property is used to indicate what units or sets of units the evaluate method expects, and returns a dictionary mapping inputs to units (or None if any units are accepted).
linear
param_names	Names of the parameters that describe models of this type.

Methods Summary

evaluate(x, amplitude)	One dimensional Constant model function
fit_deriv(x, amplitude)	One dimensional Constant model derivative with respect to parameters

Attributes Documentation

amplitude = Parameter('amplitude', value=1.0)

input_units

linear = True

param_names = ('amplitude',)

Names of the parameters that describe models of this type.

The parameters in this tuple are in the same order they should be passed in when initializing a model of a specific type. Some types of models, such as polynomial models, have a different number of parameters depending on some other property of the model, such as the degree.

When defining a custom model class the value of this attribute is automatically set by the Parameter attributes defined in the class body.

Methods Documentation

static evaluate(x, amplitude)

One dimensional Constant model function

static fit_deriv(x, amplitude)

One dimensional Constant model derivative with respect to parameters