Source code for gemseo.uncertainty.use_cases.ishigami.ishigami_discipline
# Copyright 2021 IRT Saint Exupéry, https://www.irt-saintexupery.com
#
# This program is free software; you can redistribute it and/or
# modify it under the terms of the GNU Lesser General Public
# License version 3 as published by the Free Software Foundation.
#
# This program is distributed in the hope that it will be useful,
# but WITHOUT ANY WARRANTY; without even the implied warranty of
# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
# Lesser General Public License for more details.
#
# You should have received a copy of the GNU Lesser General Public License
# along with this program; if not, write to the Free Software Foundation,
# Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA.
"""The Ishigami function as a discipline."""
from __future__ import annotations
from typing import TYPE_CHECKING
from numpy import array
from gemseo.core.discipline import MDODiscipline
from gemseo.uncertainty.use_cases.ishigami.functions import compute_gradient
from gemseo.uncertainty.use_cases.ishigami.functions import compute_output
if TYPE_CHECKING:
from collections.abc import Iterable
[docs]
class IshigamiDiscipline(MDODiscipline):
r"""The Ishigami function as a discipline.
.. math::
f(x_1,_2,x_3) = \sin(x_1)+ 7\sin(x_2)^2 + 0.1x_3^4\sin(X_1)
See :cite:`ishigami1990`.
"""
def __init__(self) -> None: # noqa: D107
super().__init__()
self.input_grammar.update_from_names(["x1", "x2", "x3"])
self.output_grammar.update_from_names(["y"])
self.default_inputs.update({
name: array([0.0]) for name in self.input_grammar.names
})
def _run(self) -> None:
self.store_local_data(y=array([compute_output(self.get_inputs_asarray())]))
def _compute_jacobian(
self,
inputs: Iterable[str] | None = None,
outputs: Iterable[str] | None = None,
) -> None:
self.jac = {
"y": {
input_name: array([[derivative]])
for input_name, derivative in zip(
self.get_input_data_names(),
compute_gradient(self.get_inputs_asarray()),
)
}
}