.. DO NOT EDIT. .. THIS FILE WAS AUTOMATICALLY GENERATED BY SPHINX-GALLERY. .. TO MAKE CHANGES, EDIT THE SOURCE PYTHON FILE: .. "auto_functional_modeling/vectorial_functions/plot_parametric_function.py" .. LINE NUMBERS ARE GIVEN BELOW. .. only:: html .. note:: :class: sphx-glr-download-link-note :ref:`Go to the end ` to download the full example code .. rst-class:: sphx-glr-example-title .. _sphx_glr_auto_functional_modeling_vectorial_functions_plot_parametric_function.py: Create a parametric function ============================ .. GENERATED FROM PYTHON SOURCE LINES 6-16 In this example we are going to create a parametric function: .. math:: d_{L,I}(E, F): \mathbb{R}^2 \rightarrow \mathbb{R} function from an existing "full" function: .. math:: d(E, F, L, I): \mathbb{R}^4 \rightarrow \mathbb{R} .. GENERATED FROM PYTHON SOURCE LINES 18-23 .. code-block:: Python import openturns as ot ot.Log.Show(ot.Log.NONE) .. GENERATED FROM PYTHON SOURCE LINES 24-25 Create the function with all parameters d(E, F, L, I) .. GENERATED FROM PYTHON SOURCE LINES 25-33 .. code-block:: Python def d_func(X): E, F, L, II = X d = -F * L**3 / (3.0 * E * II) return [d] beam = ot.PythonFunction(4, 1, d_func) .. GENERATED FROM PYTHON SOURCE LINES 34-35 Evaluate d .. GENERATED FROM PYTHON SOURCE LINES 35-38 .. code-block:: Python x = [50.0, 1.0, 10.0, 5.0] beam(x) .. raw:: html
class=Point name=Unnamed dimension=1 values=[-1.33333]


.. GENERATED FROM PYTHON SOURCE LINES 39-40 Create the indices of the frozen parameters (L,I) from the full parameter list .. GENERATED FROM PYTHON SOURCE LINES 40-42 .. code-block:: Python indices = [2, 3] .. GENERATED FROM PYTHON SOURCE LINES 43-44 Create the values of the frozen parameters (L,I) .. GENERATED FROM PYTHON SOURCE LINES 44-46 .. code-block:: Python referencePoint = [10.0, 5.0] .. GENERATED FROM PYTHON SOURCE LINES 47-48 Create the parametric function .. GENERATED FROM PYTHON SOURCE LINES 48-50 .. code-block:: Python beam_LI = ot.ParametricFunction(beam, indices, referencePoint) .. GENERATED FROM PYTHON SOURCE LINES 51-52 Evaluate d on (E,F) with fixed parameters (L,I) .. GENERATED FROM PYTHON SOURCE LINES 52-53 .. code-block:: Python beam_LI([50.0, 1.0]) .. raw:: html
class=Point name=Unnamed dimension=1 values=[-1.33333]


.. _sphx_glr_download_auto_functional_modeling_vectorial_functions_plot_parametric_function.py: .. only:: html .. container:: sphx-glr-footer sphx-glr-footer-example .. container:: sphx-glr-download sphx-glr-download-jupyter :download:`Download Jupyter notebook: plot_parametric_function.ipynb ` .. container:: sphx-glr-download sphx-glr-download-python :download:`Download Python source code: plot_parametric_function.py `