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# -*- coding: utf-8 -*-
# ######### COPYRIGHT #########
# Credits
# #######
#
# Copyright(c) 2015-2025
# ----------------------
#
# * `LabEx Archimède <http://labex-archimede.univ-amu.fr/>`_
# * `Laboratoire d'Informatique Fondamentale <http://www.lif.univ-mrs.fr/>`_
# (now `Laboratoire d'Informatique et Systèmes <http://www.lis-lab.fr/>`_)
# * `Institut de Mathématiques de Marseille <http://www.i2m.univ-amu.fr/>`_
# * `Université d'Aix-Marseille <http://www.univ-amu.fr/>`_
#
# This software is a port from LTFAT 2.1.0 :
# Copyright (C) 2005-2025 Peter L. Soendergaard <peter@sonderport.dk>.
#
# Contributors
# ------------
#
# * Denis Arrivault <contact.dev_AT_lis-lab.fr>
# * Florent Jaillet <contact.dev_AT_lis-lab.fr>
#
# Description
# -----------
#
# ltfatpy is a partial Python port of the
# `Large Time/Frequency Analysis Toolbox <http://ltfat.sourceforge.net/>`_,
# a MATLAB®/Octave toolbox for working with time-frequency analysis and
# synthesis.
#
# Version
# -------
#
# * ltfatpy version = 1.1.2
# * LTFAT version = 2.1.0
#
# Licence
# -------
#
# This program is free software: you can redistribute it and/or modify
# it under the terms of the GNU General Public License as published by
# the Free Software Foundation, either version 3 of the License, or
# (at your option) any later version.
#
# This program 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
# GNU General Public License for more details.
#
# You should have received a copy of the GNU General Public License
# along with this program. If not, see <http://www.gnu.org/licenses/>.
#
# ######### COPYRIGHT #########
"""Test of the pgauss function
.. moduleauthor:: Denis Arrivault
"""
from __future__ import print_function, division
import unittest
import random
import numpy as np
from numpy import linalg as LA
from math import sqrt
from ltfatpy.fourier import pgauss as pg
class TestFourierPgauss(unittest.TestCase):
""" Unittest class for Fourier pgauss"""
def setUp(self):
self.L = random.randint(10, 100)
def tearDown(self):
print('Test done')
def test_default(self):
(g_r1, _) = pg.pgauss(self.L)
(g_r2, _) = pg.pgauss(self.L, tfr=1, width=0.0, bw=0.0, c_f=0.0,
centering='wp', delay=0.0, norm='2')
mess = "\nTest default values with L = " + str(self.L) + "\n"
self.assertTrue(np.array_equal(g_r1, g_r2), mess)
def test_centering(self):
(g, _) = pg.pgauss(10, centering='hp')
np.testing.assert_array_almost_equal(g[:5], g[:4:-1], 6)
def test_options(self):
np.testing.assert_array_almost_equal(pg.pgauss(10, bw=2.0)[0],
pg.pgauss(10, tfr=0.1)[0], 6)
np.testing.assert_array_almost_equal(pg.pgauss(10, width=2.0)[0],
pg.pgauss(10, tfr=2/5.0)[0], 6)
np.testing.assert_array_almost_equal(pg.pgauss(10, fs=2.0)[0],
pg.pgauss(10)[0], 6)
np.testing.assert_array_almost_equal(pg.pgauss(10, delay=1, fs=2.0)[0],
pg.pgauss(10, delay=2)[0], 6)
np.testing.assert_array_almost_equal(pg.pgauss(10, bw=1, fs=2.0)[0],
pg.pgauss(10, tfr=0.4)[0], 6)
np.testing.assert_array_almost_equal(pg.pgauss(10, fs=2.0,
width=2.0)[0],
pg.pgauss(10, tfr=1.6)[0], 6)
def test_exceptions(self):
mess = "\nException TypeError should be raised with declaration "
mess += "pgauss(10.2)\n"
self.assertRaises(TypeError, pg.pgauss, 10.2, mess)
mess = "\nException TypeError should be raised with declaration "
mess += "pgauss(10,(1,1))\n"
self.assertRaises(TypeError, pg.pgauss, 10, (1, 1))
self.assertRaises(ValueError, pg.pgauss, 10, centering='foo')
def test_gauss_property(self):
g = pg.pgauss(self.L)[0]
gf = np.fft.fft(g)/sqrt(self.L)
mess = "Test that tfr=1 works."
self.assertAlmostEqual(LA.norm(g-gf), 0, 10, mess)
def test_dilatation_property(self):
mess = "Test pgauss dilatation propertie."
g = pg.pgauss(self.L, 7)[0]
gf = np.fft.fft(pg.pgauss(self.L, 1/7)[0])/sqrt(self.L)
self.assertAlmostEqual(LA.norm(g-gf), 0, 6, mess)
def test_norm(self):
mess = "Test pgauss norm."
g = pg.pgauss(self.L)[0]
self.assertAlmostEqual(LA.norm(g)-1, 0, 10, mess)
def test_shift_property(self):
mess = "Test that dft(freq shift) == time shift"
g = pg.pgauss(self.L, delay=5)[0]
gf = np.fft.fft(pg.pgauss(self.L, c_f=5)[0])/sqrt(self.L)
self.assertAlmostEqual(LA.norm(g-gf), 0, 10, mess)
if __name__ == '__main__':
suite = unittest.TestLoader().loadTestsFromTestCase(TestFourierPgauss)
unittest.TextTestRunner(verbosity=2).run(suite)
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