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#! /usr/bin/env python
from __future__ import print_function
from openturns import *
from math import *
TESTPREAMBLE()
try:
# Create a Faure
sequence = FaureSequence(15)
print(sequence)
# Create a numerical sample of the sequence
faureSample = sequence.generate(10)
print(repr(faureSample))
# Create another Faure' sequence of dimension 2 to estimate Pi in [0 1)^2
dimension = 2
sequence = FaureSequence(dimension)
pointInsideCircle = 0
sampleSize = 1000
for i in range(sampleSize):
faurePoint = sequence.generate()
print(faurePoint.__repr__())
if faurePoint.norm() < 1.0:
pointInsideCircle = pointInsideCircle + 1
probabilityEstimate = (1.0 * pointInsideCircle) / sampleSize
probability = pi / 4.0
relativeError = fabs(probability - probabilityEstimate) / probability
print('sample size=', sampleSize)
print('relative error to Pi=%e' % relativeError)
except:
import sys
print("t_FaureSequence_std.py", sys.exc_info()[0], sys.exc_info()[1])
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