Note
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Value function¶
A value function is a particular field function that lets invariant the mesh of a field and defined by a function such that:
Let’s note that the input dimension of still designs the dimension of : . Its output dimension is equal to .
The creation of the ValueFunction object requires the function and the integer : the dimension of the vertices of the mesh . This data is required for tests on the compatibility of dimension when a composite process is created using the spatial function.
The use case illustrates the creation of a spatial (field) function from the function such as :
import openturns as ot
ot.Log.Show(ot.Log.NONE)
Create a mesh
N = 100
mesh = ot.RegularGrid(0.0, 1.0, N)
Create the function that acts the values of the mesh
g = ot.SymbolicFunction(["x1", "x2"], ["x1^2", "x1+x2"])
Create the field function
f = ot.ValueFunction(g, mesh)
Evaluate f
inF = ot.Normal(2).getSample(N)
outF = f(inF)
# print input/output at first mesh nodes
xy = inF
xy.stack(outF)
xy[:5]