#! /usr/bin/env python

from __future__ import print_function
from openturns import *

TESTPREAMBLE()
RandomGenerator.SetSeed(0)

try:

   # Default dimension parameter to evaluate the model
    defaultDimension = 1

    # Amplitude values
    amplitude = NumericalPoint(defaultDimension, 1.0)

    # Scale values
    scale = NumericalPoint(defaultDimension, 1.0)

    # Default constructor
    myDefautModel = CauchyModel()
    print("myDefautModel = ", myDefautModel)

    # Second order model with parameters
    myModel = CauchyModel(amplitude, scale)
    print("myModel = ", myModel)

    frequencyValue = 1.0
    print("spectral density matrix at f = ",
          frequencyValue, " : ", myModel(frequencyValue))

    # Evaluation at time higher to check the decrease of the cauchy values
    frequencyValueHigh = 10.0
    print("spectral density matrix at f = ", frequencyValueHigh,
          " : ", myModel(frequencyValueHigh))

    # Default dimension parameter to evaluate the model
    highDimension = 3

    # Reallocation of adequate sizes
    amplitude.resize(highDimension)
    scale.resize(highDimension)
    spatialCorrelation = CorrelationMatrix(highDimension)
    for index in range(highDimension):
        amplitude[index] = 1.0
        scale[index] = (index + 1.0) / (defaultDimension * defaultDimension)
        if index > 0:
            spatialCorrelation[index, index - 1] = 1.0 / (index * index)

    # check the cast
    mySecondOrderModel = SpectralModel(
        CauchyModel(amplitude, scale, spatialCorrelation))
    print("mySecondOrderModel = ", mySecondOrderModel)
    # checking the cast

    # Second order model  - dimension 10
    myHighModel = CauchyModel(amplitude, scale, spatialCorrelation)
    print("myHighModel = ", myHighModel)
    print("spectral density matrix at f = ",
          frequencyValue, " : ", myModel(frequencyValue))
    print("spectral density matrix at f = ", frequencyValueHigh,
          " : ", myModel(frequencyValueHigh))

except:
    import sys
    print("t_CauchyModel_std.py", sys.exc_info()[0], sys.exc_info()[1])
