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import openturns as ot
import openturns.viewer as otv
f = ot.SymbolicFunction(["x"], ["x * sin(x)"])
sampleX = [[1.0], [2.0], [3.0], [4.0], [5.0], [6.0], [7.0], [8.0]]
sampleY = f(sampleX)
basis = ot.Basis(
[ot.SymbolicFunction(["x"], ["x"]), ot.SymbolicFunction(["x"], ["x^2"])]
)
covarianceModel = ot.SquaredExponential([1.0])
covarianceModel.setActiveParameter([])
algo = ot.KrigingAlgorithm(sampleX, sampleY, covarianceModel, basis)
algo.run()
result = algo.getResult()
graph = f.draw(0.0, 10.0)
graph.add(result.getMetaModel().draw(0.0, 10.0))
graph.add(ot.Cloud(sampleX, sampleY))
graph.setLegends(["model", "meta model", "sample"])
graph.setLegendPosition("upper left")
graph.setTitle("y(x)=x * sin(x)")
otv.View(graph, figure_kw={"figsize": (8, 4)})
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