Out-of-the-Box Fit Functions¶

fitting_functions_list.linear(x: Union[<sphinx.ext.autodoc.importer._MockObject object at 0x7f36c2ceb990>, float]) → Union[<sphinx.ext.autodoc.importer._MockObject object at 0x7f36c2ceba50>, float]¶

Simple linear fitting function.

Syntax: y = a[0] + a[1] * x

Parameters:	a (`numpy.ndarray`) – Coefficients array of length 2 x (`numpy.ndarray` or `float`) – Free parameter
Returns:	`numpy.ndarray` or `float`

fitting_functions_list.constant(x: Union[<sphinx.ext.autodoc.importer._MockObject object at 0x7f36c2cebcd0>, float]) → Union[<sphinx.ext.autodoc.importer._MockObject object at 0x7f36c2cebd90>, float]¶

Constant fitting function.

Syntax: y = a[0]

Parameters:	a (`numpy.ndarray`) – Coefficients array of length 1 x (`numpy.ndarray` or `float`) – Free parameter
Returns:	`numpy.ndarray` or `float`

fitting_functions_list.parabolic(x: Union[<sphinx.ext.autodoc.importer._MockObject object at 0x7f36c2cf3050>, float]) → Union[<sphinx.ext.autodoc.importer._MockObject object at 0x7f36c2cf3110>, float]¶

Parabolic fitting function.

Syntax: y = a[0] + a[1] * x + a[2] * x ^ 2

Parameters:	a (`numpy.ndarray`) – Coefficients array of length 3 x (`numpy.ndarray` or `float`) – Free parameter
Returns:	`numpy.ndarray` or `float`

fitting_functions_list.straight_power(x: Union[<sphinx.ext.autodoc.importer._MockObject object at 0x7f36c2cf3390>, float]) → Union[<sphinx.ext.autodoc.importer._MockObject object at 0x7f36c2cf3450>, float]¶

Represent fitting of y ~ x^n.

Syntax: y = a[0] * (x + a[1]) ^ a[2] + a[3]

Parameters:	a (`numpy.ndarray`) – Coefficients array of length 4 x (`numpy.ndarray` or `float`) – Free parameter
Returns:	`numpy.ndarray` or `float`

fitting_functions_list.inverse_power(x: Union[<sphinx.ext.autodoc.importer._MockObject object at 0x7f36c2cf36d0>, float]) → Union[<sphinx.ext.autodoc.importer._MockObject object at 0x7f36c2cf3790>, float]¶

Represent fitting of y ~ x^(-n).

Syntax: y = a[0] / (x + a[1]) ^ a[2] + a[3]

Parameters:	a (`numpy.ndarray`) – Coefficients array of length 4 x (`numpy.ndarray` or `float`) – Free parameter
Returns:	`numpy.ndarray` or `float`

fitting_functions_list.polynomial() → eddington.fitting_function_class.FittingFunction¶

Creates a polynomial fitting function with parameters as coefficients.

Parameters:	n – Degree of the polynom.
Returns:	`FittingFunction`

fitting_functions_list.hyperbolic(x: Union[<sphinx.ext.autodoc.importer._MockObject object at 0x7f36c2cf3a10>, float]) → Union[<sphinx.ext.autodoc.importer._MockObject object at 0x7f36c2cf3ad0>, float]¶

Hyperbolic fitting function.

Syntax: y = a[0] / (x + a[1]) + a[2]

Parameters:	a (`numpy.ndarray`) – Coefficients array of length 3 x (`numpy.ndarray` or `float`) – Free parameter
Returns:	`numpy.ndarray` or `float`

fitting_functions_list.exponential(x: Union[<sphinx.ext.autodoc.importer._MockObject object at 0x7f36c2cf3d50>, float]) → Union[<sphinx.ext.autodoc.importer._MockObject object at 0x7f36c2cf3e10>, float]¶

Exponential fitting function.

Syntax: y = a[0] * exp(a[1] * x) + a[2]

Parameters:	a (`numpy.ndarray`) – Coefficients array of length 3 x (`numpy.ndarray` or `float`) – Free parameter
Returns:	`numpy.ndarray` or `float`

fitting_functions_list.sin(x: Union[<sphinx.ext.autodoc.importer._MockObject object at 0x7f36c2cf9410>, float]) → Union[<sphinx.ext.autodoc.importer._MockObject object at 0x7f36c2cf94d0>, float]¶

Sine fitting function.

Syntax: y = a[0] * sin(a[1] * x + a[2]) + a[3]

Parameters:	a (`numpy.ndarray`) – Coefficients array of length 4 x (`numpy.ndarray` or `float`) – Free parameter
Returns:	`numpy.ndarray` or `float`

fitting_functions_list.cos(x: Union[<sphinx.ext.autodoc.importer._MockObject object at 0x7f36c2cf90d0>, float]) → Union[<sphinx.ext.autodoc.importer._MockObject object at 0x7f36c2cf9190>, float]¶

Cosines fitting function.

Syntax: y = a[0] * cos(a[1] * x + a[2]) + a[3]

Parameters:	a (`numpy.ndarray`) – Coefficients array of length 4 x (`numpy.ndarray` or `float`) – Free parameter
Returns:	`numpy.ndarray` or `float`

fitting_functions_list.normal(x: Union[<sphinx.ext.autodoc.importer._MockObject object at 0x7f36c2cf9750>, float]) → Union[<sphinx.ext.autodoc.importer._MockObject object at 0x7f36c2cf9810>, float]¶

Normal distribution fitting function.

Syntax: y = a[0] * exp( - ((x - a[1]) / a[2]) ^ 2) + a[3]

Parameters:	a (`numpy.ndarray`) – Coefficients array of length 4 x (`numpy.ndarray` or `float`) – Free parameter
Returns:	`numpy.ndarray` or `float`

fitting_functions_list.poisson(x: Union[<sphinx.ext.autodoc.importer._MockObject object at 0x7f36c2cf9a90>, float]) → Union[<sphinx.ext.autodoc.importer._MockObject object at 0x7f36c2cf9b50>, float]¶

Poisson fitting function.

Syntax: y = a[0] * (a[1] ^ x) * exp(-a[1]) / gamma(x+1) + a[2]

Parameters:	a (`numpy.ndarray`) – Coefficients array of length 3 x (`numpy.ndarray` or `float`) – Free parameter
Returns:	`numpy.ndarray` or `float`