FieldToPointFunction¶

class FieldToPointFunction(*args)¶

Function mapping a field into a point.

Parameters:

inputMeshMesh: The input mesh
inputDimpositive int: Dimension of the input field values d
outputDimpositive int: Dimension of the output vector d’

See also

PythonFieldToPointFunction, OpenTURNSPythonFieldToPointFunction, PointToFieldFunction

Notes

Field to point functions act on fields to produce points:

$f: \left| \begin{array}{rcl} \cM_N \times (\Rset^d)^N & \rightarrow &\Rset^{d'} \\ F & \mapsto & \vect{v}' \end{array} \right.$

with $\cM_N$ a mesh of $\cD \subset \Rset^n$ .

A field is represented by a collection $(\vect{t}_i, \vect{v}_i)_{1 \leq i \leq N}$ of elements of $\cM_N \times (\Rset^d)^N$ where $\vect{t}_i$ is a vertex of $\cM_N$ and $\vect{v}_i$ the associated value in $\Rset^d$ .

The two first constructors build an object which evaluation operator is not defined (it throws a NotYetImplementedException). The instantiation of such an object is used to extract an actual FieldToPointFunction from a Study.

Examples

>>> import openturns as ot

Use the class OpenTURNSPythonFieldToPointFunction to create a function that acts on fields of input dimension $n=1$ and input dimension $d=2$ and returns their spatial mean vector of dimension $d'=2$ .

Using the class OpenTURNSPythonFieldToPointFunction allows one to define a persistent state between the evaluations of the function.

>>> class FUNC(ot.OpenTURNSPythonFieldToPointFunction):
...     def __init__(self):
...         # first argument:
...         mesh = ot.RegularGrid(0.0, 0.1, 11)
...         super(FUNC, self).__init__(mesh, 2, 2)
...         self.setInputDescription(['R', 'S'])
...         self.setOutputDescription(['T', 'U'])  
...     def _exec(self, X):
...         Xs = ot.Sample(X)
...         Y = Xs.computeMean()
...         return Y
>>> F = FUNC()

Create the associated FieldToPointFunction:

>>> myFunc = ot.FieldToPointFunction(F)

It is also possible to create a FieldToPointFunction from a python function as follows:

>>> def myPyFunc(X):
...     Xs = ot.Sample(X)
...     Y = Xs.computeMean()
...     return Y
>>> inputDim = 2
>>> outputDim = 2
>>> mesh = ot.RegularGrid(0.0, 0.1, 11)
>>> myFunc = ot.PythonFieldToPointFunction(mesh, inputDim, outputDim, myPyFunc)

Evaluate the function on a field:

>>> myField = ot.Field(mesh, ot.Normal(2).getSample(11))
>>> Y = myFunc(myField)

Methods

`__call__`(*args)	Call self as a function.
`getCallsNumber`()	Get the number of calls of the function.
`getClassName`()	Accessor to the object's name.
`getId`()	Accessor to the object's id.
`getImplementation`()	Accessor to the underlying implementation.
`getInputDescription`()	Get the description of the input field values.
`getInputDimension`()	Get the dimension of the input field values.
`getInputMesh`()	Get the mesh associated to the input domain.
`getMarginal`(*args)	Get the marginal(s) at given indice(s).
`getName`()	Accessor to the object's name.
`getOutputDescription`()	Get the description of the output vector.
`getOutputDimension`()	Get the dimension of the output vector.
`setInputDescription`(inputDescription)	Set the description of the input field values.
`setName`(name)	Accessor to the object's name.
`setOutputDescription`(outputDescription)	Set the description of the output vector.

__init__(*args)¶

getCallsNumber()¶

Get the number of calls of the function.

Returns:

callsNumberint: Counts the number of times the function has been called since its creation.

getClassName()¶

Accessor to the object’s name.

Returns:

class_namestr: The object class name (object.__class__.__name__).

getId()¶

Accessor to the object’s id.

Returns:

idint: Internal unique identifier.

getImplementation()¶

Accessor to the underlying implementation.

Returns:

implImplementation: A copy of the underlying implementation object.

getInputDescription()¶

Get the description of the input field values.

Returns:

inputDescriptionDescription: Description of the input field values.

getInputDimension()¶

Get the dimension of the input field values.

Returns:

dint: Dimension $d$ of the input field values.

getInputMesh()¶

Get the mesh associated to the input domain.

Returns:

inputMeshMesh: The input mesh $\cM_{N'}$ .

getMarginal(*args)¶

Get the marginal(s) at given indice(s).

Parameters:

iint or list of ints, $0 \leq i < d$: Indice(s) of the marginal(s) to be extracted.

Returns:

functionFieldToPointFunction: The initial function restricted to the concerned marginal(s) at the indice(s) $i$ .

getName()¶

Accessor to the object’s name.

Returns:

namestr: The name of the object.

getOutputDescription()¶

Get the description of the output vector.

Returns:

outputDescriptionDescription: Description of the output vector.

getOutputDimension()¶

Get the dimension of the output vector.

Returns:

d’int: Dimension $d'$ of the output vector.

setInputDescription(inputDescription)¶

Set the description of the input field values.

Parameters:

inputDescriptionsequence of str: Description of the input field values.

setName(name)¶

Accessor to the object’s name.

Parameters:

namestr: The name of the object.

setOutputDescription(outputDescription)¶

Set the description of the output vector.

Parameters:

outputDescriptionsequence of str: Description of the output vector.

Examples using the class¶

Estimate Sobol indices on a field to point function

OpenTURNS

An Open source initiative for the Treatment of Uncertainties, Risks'N Statistics

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FieldToPointFunction¶

Examples using the class¶