Source code for gemseo.uncertainty.use_cases.ishigami.functions

# Copyright 2021 IRT Saint Exupéry, https://www.irt-saintexupery.com
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# Lesser General Public License for more details.
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"""The Ishigami function and its gradient."""

from __future__ import annotations

from numpy import array
from numpy import cos
from numpy import ndarray
from numpy import sin


[docs] def compute_output(x: ndarray) -> float: """Compute the output of the Ishigami function. Args: x: The input values. Returns: The output value. """ return sin(x[0]) * (1 + 0.1 * x[2] ** 4) + 7 * sin(x[1]) ** 2
[docs] def compute_gradient(x: ndarray) -> ndarray: """Compute the gradient of the Ishigami function. Args: x: The input values. Returns: The value of the gradient of the Ishigami function. """ return array([ cos(x[0]) * (1 + 0.1 * x[2] ** 4), 14 * sin(x[1]) * cos(x[1]), 0.4 * sin(x[0]) * x[2] ** 3, ])