function.forr08a.onevar

function.forr08a.onevar(x)

One-variable test function that takes a scalar or 1D array input x in the range [0, 1] and returns the corresponding function values. The function is vectorized to handle multiple inputs.

The function is defined as

f(x) = ((6x - 2)^2) * np.sin((6x - 2) * 2)

Parameters

Name	Type	Description	Default
x	np.ndarray	A scalar or 1D NumPy array of values in the range [0, 1].	required

Returns

Name	Type	Description
	np.ndarray	np.ndarray: The calculated function values for the input `x`.

Raises

Name	Type	Description
	ValueError	If any value in `x` is outside the range [0, 1].

Examples

>>> import numpy as np
>>> from spotpython.surrogate.functions.forr08a import onevar
>>> # Single input
>>> print(onevar(np.array([0.5])))
[0.9093]
>>> # Multiple inputs
>>> x = np.array([0.0, 0.25, 0.5, 0.75, 1.0])
>>> print(onevar(x))
[3.0272, -0.2104, 0.9093,  -5.9933, 15.8297]