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#! /usr/bin/env python
import openturns as ot
ot.TESTPREAMBLE()
# We create a numerical math function */
myFunction = ot.SymbolicFunction(["E", "F", "L", "I"], ["-F*L^3/(3*E*I)"])
dim = myFunction.getInputDimension()
# We create a normal distribution point of dimension dim
myDistribution = ot.Normal(dim)
# 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 an StandardEvent from this RandomVector
myStandardEvent = ot.StandardEvent(output, ot.Less(), 1.0)
print("myStandardEvent=", myStandardEvent)
# We compute one realization of the event
# E = (Y=f(X), operator, threshold)
# E as a RandomVector : Y
print(
"myStandardEvent (as a RandomVector) realization =",
repr(ot.RandomVector.getRealization(myStandardEvent)),
)
# E as a Bernoulli
print("myStandardEvent realization=", repr(myStandardEvent.getRealization()))
# We compute a sample of the event
print("myStandardEvent sample=", repr(myStandardEvent.getSample(10)))
# Build a standard event based on an event
R = ot.CorrelationMatrix(dim)
for i in range(dim - 1):
R[i + 1, i] = 0.5
mean = ot.Point(dim, 0.0)
sigma = ot.Point(dim, 1.0)
myDistribution2 = ot.Normal(mean, sigma, R)
# We create a 'usual' RandomVector from the Distribution
vect2 = ot.RandomVector(myDistribution2)
# We create a composite random vector
output2 = ot.CompositeRandomVector(myFunction, vect2)
# We create an Event from this RandomVector */
myEvent = ot.ThresholdEvent(output2, ot.Less(), 1.0)
# Create a StandardEvent based on this Event */
stdEvent = ot.StandardEvent(myEvent)
# Check if the StandardEvent is really a StandardEvent */
# Get a sample from the second antecedent of the standard event */
size = 2000
# Check if the failure probabilities are the same */
print("Failure probability (Event)=%.6f" % myEvent.getSample(size).computeMean()[0])
print(
"Failure probability (StandardEvent)=%.6f"
% stdEvent.getSample(size).computeMean()[0]
)
x = [[1.0, 0.5, 1.0, 0.5], [2.0, 1.0, 2.0, 1.0], [3.0, 1.5, 3.0, 1.5]]
p = [0.3, 0.325, 0.375]
myDistribution3 = ot.UserDefined(x, p)
# We create a 'usual' RandomVector from the Distribution */
vect3 = ot.RandomVector(myDistribution3)
# We create a composite random vector */
output3 = ot.CompositeRandomVector(myFunction, vect3)
# We try to create a StandardEvent from this RandomVector */
try:
myStandardEvent3 = ot.StandardEvent(output3, ot.Less(), 1.0)
except Exception:
print("Error trying to build myStandardEvent3")
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