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#! /usr/bin/env python
import openturns as ot
# Polynomial factories
factoryCollection = [ot.LaguerreFactory(2.5), ot.LegendreFactory(), ot.HermiteFactory()]
dim = len(factoryCollection)
basisFactory = ot.OrthogonalProductPolynomialFactory(factoryCollection)
print("basisFactory=")
print(basisFactory)
print(basisFactory.__repr_markdown__())
print(basisFactory._repr_html_())
basis = ot.OrthogonalBasis(basisFactory)
print("basis=")
print(basis)
x = [0.5] * dim
for i in range(10):
f = basis.build(i)
print("i=", i, "f(X)=", f(x))
# Using multi-indices
enum = basis.getEnumerateFunction()
for i in range(10):
indices = enum(i)
f = basis.build(indices)
print("indices=", indices, "f(X)=", f(x))
# Other factories
factoryCollection = [
ot.OrthogonalUniVariatePolynomialFunctionFactory(ot.LaguerreFactory(2.5)),
ot.HaarWaveletFactory(),
ot.FourierSeriesFactory(),
]
dim = len(factoryCollection)
basisFactory = ot.OrthogonalProductFunctionFactory(factoryCollection)
basis = ot.OrthogonalBasis(basisFactory)
print("basis=", basis)
x = [0.5] * dim
for i in range(10):
f = basis.build(i)
print("i=", i, "f(X)=", f(x))
# Using multi-indices
enum = basis.getEnumerateFunction()
for i in range(10):
indices = enum(i)
f = basis.build(indices)
print("indices=", indices, "f(X)=", f(x))
# Polynomial factories using a collection of distributions
distributionCollection = [
ot.Normal(),
ot.TruncatedDistribution(ot.Normal(2.0, 1.5), 1.0, 4.0),
ot.Uniform(),
]
basisFactory = ot.OrthogonalProductPolynomialFactory(distributionCollection)
print("basisFactory=")
print(basisFactory)
print(basisFactory.__repr_markdown__())
print(basisFactory._repr_html_())
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