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#! /usr/bin/env python
# use non-interactive backend
import matplotlib
matplotlib.use('Agg')
from openturns.viewer import View
import openturns as ot
# Curve
graph = ot.Normal().drawCDF()
# graph.draw('curve1.png')
view = View(graph, plot_kwargs={'color': 'blue'})
# view.save('curve1.png')
view.show(block=False)
# Contour
graph = ot.Normal([1, 2], [3, 5], ot.CorrelationMatrix(2)).drawPDF()
# graph.draw('curve2.png')
view = View(graph)
# view.save('curve2.png')
view.show(block=False)
# Histogram tests
normal = ot.Normal(1)
size = 100
sample = normal.getSample(size)
graph = ot.VisualTest.DrawHistogram(sample, 10)
# graph.draw('curve3.png')
view = View(graph)
# view.save('curve3.png')
view.show(block=False)
# QQPlot tests
size = 100
normal = ot.Normal(1)
sample = normal.getSample(size)
sample2 = ot.Gamma(3.0, 4.0, 0.0).getSample(size)
graph = ot.VisualTest.DrawQQplot(sample, sample2, 100)
# graph.draw('curve4.png.png')
view = View(graph)
# view.save('curve4.png')
view.show()
# Clouds tests
dimension = (2)
R = ot.CorrelationMatrix(dimension)
R[0, 1] = 0.8
distribution = ot.Normal(
ot.NumericalPoint(dimension, 3.0), ot.NumericalPoint(dimension, 2.0), R)
size = 100
sample2D = distribution.getSample(size)
firstSample = ot.NumericalSample(size, 1)
secondSample = ot.NumericalSample(size, 1)
for i in range(size):
firstSample[i] = ot.NumericalPoint(1, sample2D[i, 0])
secondSample[i] = ot.NumericalPoint(1, sample2D[i, 1])
graph = ot.VisualTest.DrawClouds(
sample2D, ot.Normal(ot.NumericalPoint(dimension, 2.0), ot.NumericalPoint(dimension, 3.0), R).getSample(size // 2))
# graph.draw('curve5.png')
view = View(graph)
# view.save('curve5.png')
view.show(block=False)
# CobWeb tests
size = 100
dim = 6
inputSample = ot.Normal(dim).getSample(size)
inputVar = list(['X' + str(i) for i in range(dim)])
expression = ''
for i in range(dim):
if i > 0:
expression += "+"
expression += "cos(" + str(i + 1) + "*" + inputVar[i] + ")"
model = ot.NumericalMathFunction(inputVar, ['y'], [expression])
outputSample = model(inputSample)
graph = ot.VisualTest.DrawCobWeb(
inputSample, outputSample, 2.5, 3.0, "red", False)
# graph.draw('curve6.png')
view = View(graph, legend_kwargs={'loc': 'lower center'})
# view.save('curve6.png')
view.show(block=False)
# Staircase
distribution = ot.Poisson(10.0)
graph = distribution.drawCDF()
# graph.draw('curve7.png')
view = View(graph)
# view.save('curve7.png')
view.show(block=False)
# Pie
graph = ot.SensitivityAnalysis.DrawImportanceFactors(
[.4, .3, .2, .1], ['a0', 'a1', 'a2', 'a3'], 'Zou')
# graph.draw('curve8.png')
view = View(graph)
# view.save('curve8.png')
view.show()
# Pairs
dim = 5
meanPoint = ot.NumericalPoint(dim, 0.0)
sigma = ot.NumericalPoint(dim, 1.0)
R = ot.CorrelationMatrix(dim)
for i in range(dim):
meanPoint[i] = (i + 1) * dim
distribution = ot.Normal(meanPoint, sigma, R)
size = 1000
sample = distribution.getSample(size)
graph = ot.Graph("Pairs", " ", " ", True, "topright")
labels = list(['x' + str(i) for i in range(dim)])
myPairs = ot.Pairs(sample, 'Pairs example',
labels, 'green', 'bullet')
graph.add(myPairs)
# graph.draw('curve9.png')
view = View(graph)
# view.save('curve9.png')
view.show(block=False)
# Convergence graph curve
aCollection = []
aCollection.append(ot.LogNormal(300., 30., 0., ot.LogNormal.MUSIGMA))
aCollection.append(ot.Normal(75e3, 5e3))
myDistribution = ot.ComposedDistribution(aCollection)
vect = ot.RandomVector(myDistribution)
LimitState = ot.NumericalMathFunction(("R", "F"), ("G",), ("R-F/(_pi*100.0)",))
G = ot.RandomVector(LimitState, vect)
myEvent = ot.Event(G, ot.Less(), 0.0)
myAlgo = ot.MonteCarlo(myEvent)
myAlgo.setMaximumCoefficientOfVariation(0.05)
myAlgo.setMaximumOuterSampling(int(1e5))
myAlgo.run()
graph = myAlgo.drawProbabilityConvergence()
# graph.draw('curve10.png')
view = View(graph)
# view.save('curve10.png')
view.show(block=False)
# Polygon
size = 50
cursor = [0.] * 2
data1 = ot.NumericalSample(size, 2) # polygon y = 2x for x in [-25]
data2 = ot.NumericalSample(size, 2) # polygon y = x*x for x in [-11]
for i in range(size):
tmp = 7. * i / size + 2
cursor[0] = tmp
cursor[1] = 2 * tmp
data1[i] = cursor
tmp = 9. * i / size + 1
cursor[0] = tmp
cursor[1] = tmp * tmp
data2[i] = cursor
graph = ot.Graph('Some polygons', 'x1', 'x2', True, 'topright', 1.0)
myPolygon1 = ot.Polygon(data1)
myPolygon1.setColor('blue')
graph.add(myPolygon1)
myPolygon2 = ot.Polygon(data2)
myPolygon2.setColor('red')
graph.add(myPolygon2)
# graph.draw('curve11.png')
view = View(graph)
# view.save('curve11.png')
view.show(block=False)
# PolygonArray
generator = ot.Normal(2)
size = 5
array = ot.PolygonCollection(size)
palette = ot.Drawable.BuildDefaultPalette(size)
for i in range(size):
vertices = generator.getSample(3)
array[i] = ot.Polygon(vertices, palette[i], palette[size - i - 1])
graph = ot.Graph('An array of polygons', 'x', 'y', True, '')
graph.add(ot.PolygonArray(array))
# graph.draw('curve12.png')
view = View(graph)
# view.save('curve12.png')
view.show()
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