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test_impL1.py
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test_impL1.py
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# -*- coding: utf-8 -*-
# test_impL1.py
# Test module for the impL1() function.
# Copyright 2014 Giuseppe Venturini
# This file is part of python-deltasigma.
#
# python-deltasigma is a 1:1 Python replacement of Richard Schreier's
# MATLAB delta sigma toolbox (aka "delsigma"), upon which it is heavily based.
# The delta sigma toolbox is (c) 2009, Richard Schreier.
#
# python-deltasigma is distributed in the hope that it will be useful,
# but WITHOUT ANY WARRANTY; without even the implied warranty of
# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
# LICENSE file for the licensing terms.
"""Test module for the impL1() function.
"""
import unittest
import numpy as np
import deltasigma as ds
from scipy.signal import lti
class TestTestTemplate(unittest.TestCase):
"""Test class for the impL1 function"""
def setUp(self):
self.r2 = np.array([0., 0.4, -0.16, 0.064, -0.0256, 0.01024,
-0.004096, 0.0016384, -0.00065536,
0.000262144, -0.0001048576])
def test_impL1_zpk(self):
"""Test function for impL1() 1/4"""
sys1 = (np.array([-.4]), np.array([0, 0]), 1) # zpk
r1 = ds.impL1(sys1, n=10)
self.assertTrue(np.allclose(r1, self.r2, atol=1e-8, rtol=1e-4))
def test_impL1_num_den(self):
"""Test function for impL1() 2/4"""
sys1 = (np.array([-.4]), np.array([0, 0]), 1)
num = np.poly(sys1[0])
den = np.poly(sys1[1])
num[0] *= sys1[2]
tf = (num, den)
r3 = ds.impL1(tf, n=10)
self.assertTrue(np.allclose(self.r2, r3, atol=1e-8, rtol=1e-4))
def test_impL1_lti(self):
"""Test function for impL1() 3/4"""
sys1 = (np.array([-.4]), np.array([0, 0]), 1)
tf = lti(*sys1)
r4 = ds.impL1(tf, n=10)
self.assertTrue(np.allclose(self.r2, r4, atol=1e-8, rtol=1e-4))
def test_impL1_cplx(self):
"""Test function for impL1() 4/4"""
res = np.array([0.00000000000000 + 0.00000000000000j,
0.333000000000000 - 0.333000000000000j,
-0.110889000000000 + 0.110889000000000j,
0.0369260370000000 - 0.0369260370000000j,
-0.0122963703210000 + 0.0122963703210000j,
0.00409469131689300 - 0.00409469131689300j,
-0.00136353220852537 + 0.00136353220852537j,
0.000454056225438948 - 0.000454056225438948j,
-0.000151200723071170 + 0.000151200723071170j,
5.03498407826996e-05 - 5.03498407826996e-05j,
-1.67664969806390e-05 + 1.67664969806390e-05j])
a = [[-.3333], [-.3333j], 1]
y = ds.impL1(a)
self.assertTrue(np.allclose(y, res, atol=1e-3, rtol=1e-4))