#! /usr/bin/env python

import openturns as ot

ot.Log.Show(ot.Log.ALL)
distribution = ot.Frechet(2.5, 2.0, -1.5)
size = 10000
sample = distribution.getSample(size)
factory = ot.FrechetFactory()
print("Distribution                      =", repr(distribution))
result = factory.buildEstimator(sample)
estimatedDistribution = result.getDistribution()
print("Estimated distribution            =", repr(estimatedDistribution))
parameterDistribution = result.getParameterDistribution()
print("Parameter distribution            =", parameterDistribution)
defaultDistribution = factory.build()
print("Default distribution              =", defaultDistribution)
fromParameterDistribution = factory.build(distribution.getParameter())
print("Distribution from parameters      =", fromParameterDistribution)
typedEstimatedDistribution = factory.buildAsFrechet(sample)
print("Typed estimated distribution      =", typedEstimatedDistribution)
defaultTypedDistribution = factory.buildAsFrechet()
print("Default typed distribution        =", defaultTypedDistribution)
typedFromParameterDistribution = factory.buildAsFrechet(distribution.getParameter())
print("Typed distribution from parameters=", typedFromParameterDistribution)

# More involved test: the sample distribution does not fit the factory

# The distributions used :
myFrechet = ot.Frechet(1.0, 1.0, 0.0)
myGumbel = ot.Gumbel(1.0, 3.0)
# We build our mixture sample of size 2*1000=2000.
mixtureSample = ot.Sample()
sampleFrechet = myFrechet.getSample(1000)
sampleGumbel = myGumbel.getSample(1000)
mixtureSample.add(sampleFrechet)
mixtureSample.add(sampleGumbel)
# Build on the mixture sample
typedEstimatedFromMixtureSample = factory.buildAsFrechet(mixtureSample)
print("Estimated dist from mixture sample=", typedEstimatedFromMixtureSample)