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

# Copyright 2021 IRT Saint Exupéry, https://www.irt-saintexupery.com
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"""The uncertain space used in the Ishigami use case."""

from __future__ import annotations

from typing import Final

from numpy import pi

from gemseo.algos.parameter_space import ParameterSpace

_DISTRIBUTION_NAME: Final[str] = "SPUniformDistribution"
"""The probability distribution for the different random variables."""


[docs]class IshigamiSpace(ParameterSpace): r"""The uncertain space used in the Ishigami use case. :math:`X_1,X_2,X_3` are independent random variables uniformly distributed between :math:`-\pi` and :math:`\pi`. This uncertain space uses the class :class:`.SPUniformDistribution`. See :cite:`ishigami1990`. """ def __init__(self) -> None: # noqa: D107 super().__init__() for index in range(3): self.add_random_variable( f"x{index + 1}", _DISTRIBUTION_NAME, minimum=-pi, maximum=pi )