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import openturns as ot
from matplotlib import pyplot as plt
from openturns.viewer import View
f = ot.NumericalMathFunction('x', 'abs(sin(x))')
a = -2.5
b = 4.5
algo = ot.GaussKronrod(
100000, 1e-13, ot.GaussKronrodRule(ot.GaussKronrodRule.G11K23))
value = algo.integrate(f, ot.Interval(a, b))[0]
ai = ot.NumericalPoint()
bi = ot.NumericalPoint()
fi = ot.NumericalSample()
ei = ot.NumericalPoint()
error = ot.NumericalPoint()
value2 = algo.integrate(f, a, b, error, ai, bi, fi, ei)[0]
ai.add(b)
g = f.draw(a, b, 512)
lower = ot.Cloud(ai, ot.NumericalPoint(ai.getDimension()))
lower.setColor("magenta")
lower.setPointStyle('circle')
g.add(lower)
fig = plt.figure(figsize=(4, 4))
plt.suptitle("GaussKronrod example")
axis = fig.add_subplot(111)
axis.set_xlim(auto=True)
View(g, figure=fig, axes=[axis], add_legend=False)
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