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#! /usr/bin/env python
import openturns as ot
import math as m
ot.TESTPREAMBLE()
def printSample(name, sample):
oss = name + "=["
for counter in range(sample.getSize()):
if counter != 0:
oss += ";"
oss += "["
point = sample[counter]
for coordinate in range(point.getDimension()):
if coordinate != 0:
oss += ","
oss += "%.6f" % point[coordinate]
oss += "]"
oss += "]"
return oss
# We create a numerical math function
myFunction = ot.SymbolicFunction(["x1", "x2"], ["(x1-0.6)*(x1-0.6)-x2*x2"])
dim = myFunction.getInputDimension()
# We create a normal distribution point of dimension 1
mean = ot.Point(dim, 0.0)
sigma = ot.Point(dim, 1.0)
R = ot.IdentityMatrix(dim)
myDistribution = ot.Normal(mean, sigma, R)
# We create a 'usual' RandomVector from the Distribution
vect = ot.RandomVector(myDistribution)
# We create a composite random vector
output = ot.CompositeRandomVector(myFunction, vect)
# We create a StandardEvent from this RandomVector : RandomVector > 4.0
seuil = 40
myStandardEvent = ot.StandardEvent(output, ot.Greater(), seuil)
# We create the design point
designPoint = ot.Point(dim, 0.0)
C = 0.6
designPoint[0] = -m.sqrt(seuil) + C
# We create the "second" design point
pseudoDesignPoint = ot.Point(dim, 0.0)
pseudoDesignPoint[0] = m.sqrt(seuil) + C
importanceLevel = 0.01
accuracyLevel = 2
confidenceLevel = 0.999
myTest = ot.StrongMaximumTest(
myStandardEvent, designPoint, importanceLevel, accuracyLevel, confidenceLevel
)
print("myTest=", myTest)
myTest.run()
print("Beta = %.6f" % designPoint.norm())
print(
"Discretised sphere radius = %6f"
% (designPoint.norm() * (1 + myTest.getAccuracyLevel() * myTest.getDeltaEpsilon()))
)
print("PointNumber = ", myTest.getPointNumber())
print("DesignPointVicinity Angle (rad)= %.6f" % m.acos(myTest.getDesignPointVicinity()))
print(
"DesignPointVicinity Angle (deg)= %.6f"
% (m.acos(myTest.getDesignPointVicinity()) * 180 / m.pi)
)
print(
"Near Design Point Verifying Event Points Number = ",
(myTest.getNearDesignPointVerifyingEventPoints()).getSize(),
)
print(
"Near Design Point Violating Event Points Number = ",
(myTest.getNearDesignPointViolatingEventPoints()).getSize(),
)
print(
"Far Design Point Verifying Event Points Number = ",
(myTest.getFarDesignPointVerifyingEventPoints()).getSize(),
)
print(
"Far Design Point Violating Event Points Number = ",
(myTest.getFarDesignPointViolatingEventPoints()).getSize(),
)
print("//////")
# parameters of the test
print("importanceLevel=%.6f" % myTest.getImportanceLevel())
print("accuracyLevel=%.6f" % myTest.getAccuracyLevel())
print("confidenceLevel=%.6f" % myTest.getConfidenceLevel())
# design point coordinates
print(
"standardSpaceDesignPoint=[%.6f" % myTest.getStandardSpaceDesignPoint()[0],
",%.6f" % myTest.getStandardSpaceDesignPoint()[1],
"]",
)
# pseudo design point coordinates
print(
"pseudoStandardSpaceDesignPoint=[%.6f" % pseudoDesignPoint[0],
",%.6f" % pseudoDesignPoint[1],
"]",
)
# cout of the coordinates of the points of the 4 samples
# NearDesignPointVerifyingEventPoints
print(
printSample(
"NearDesignPointVerifyingEventPointsSample",
myTest.getNearDesignPointVerifyingEventPoints(),
)
)
# NearDesignPointViolatingEventPoints
print(
printSample(
"NearDesignPointViolatingEventPoints",
myTest.getNearDesignPointViolatingEventPoints(),
)
)
# FarDesignPointVerifyingEventPoints
print(
printSample(
"FarDesignPointVerifyingEventPoints",
myTest.getFarDesignPointVerifyingEventPoints(),
)
)
# FarDesignPointViolatingEventPoints
print(
printSample(
"FarDesignPointViolatingEventPoints",
myTest.getFarDesignPointViolatingEventPoints(),
)
)
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