File: t_Basis_std.py

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#! /usr/bin/env python

import openturns as ot

ot.TESTPREAMBLE()

basis = ot.Basis()
print("basis =", basis)
basisSize = 3

phis = []
for j in range(basisSize):
    phis.append(ot.SymbolicFunction(["x"], ["x^" + str(j + 1)]))
basis = ot.Basis(phis)
print("basis =", basis)

assert basis.getSize() == 3, "wrong size"
assert basis.getInputDimension() == 1, "wrong input dim"
assert basis.getOutputDimension() == 1, "wrong output dim"
assert basis.getSubBasis([1, 2]).getSize() == 2, "wrong subsize"
assert basis.isFinite(), "!finite"
assert not basis.isOrthogonal(), "orthogonal"

try:
    degree = 2
    poly = []
    factory = ot.MonomialFunctionFactory()
    for i in range(degree + 1):
        poly.append(factory.build(i))
    basis = ot.Basis(poly)
    raise AssertionError("should not go there")
except RuntimeError:
    print("ok")

# check basis dimensions
f1 = ot.SymbolicFunction(["x", "y"], ["x+y"])
f2 = ot.SymbolicFunction(["x", "y"], ["x+y", "x-y"])
f3 = ot.SymbolicFunction(["x"], ["x+1"])
try:
    b = ot.Basis([f1, f2])
    raise AssertionError("should not go there")
except TypeError:
    print("ok")
try:
    b = ot.Basis([f1, f3])
    raise AssertionError("should not go there")
except TypeError:
    print("ok")