#! /usr/bin/env python

from openturns import *
from math import *

TESTPREAMBLE()

try :

    # Create a ReverseHalton
    sequence = ReverseHaltonSequence(15)
    print sequence

    # Create a numerical sample of the sequence
    reverseHaltonSample = sequence.generate(10)
    print repr(reverseHaltonSample)

    # Create another ReverseHalton' sequence of dimension 2 to estimate Pi in [0 1)^2
    dimension = 2
    sequence = ReverseHaltonSequence(dimension)
    pointInsideCircle = 0
    sampleSize = 1000
    for i in range(sampleSize) :
        reverseHaltonPoint = sequence.generate()
        print reverseHaltonPoint.__repr__()
        if reverseHaltonPoint.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_ReverseHaltonSequence_std.py", sys.exc_type, sys.exc_value
