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from __future__ import division, print_function, absolute_import
import warnings
import numpy as np
from numpy import array
from numpy.testing import (assert_array_almost_equal, assert_array_equal,
run_module_suite, assert_raises, assert_allclose)
from scipy import signal
window_funcs = [
('boxcar', ()),
('triang', ()),
('parzen', ()),
('bohman', ()),
('blackman', ()),
('nuttall', ()),
('blackmanharris', ()),
('flattop', ()),
('bartlett', ()),
('hanning', ()),
('barthann', ()),
('hamming', ()),
('kaiser', (1,)),
('gaussian', (0.5,)),
('general_gaussian', (1.5, 2)),
('chebwin', (1,)),
('slepian', (2,)),
('cosine', ()),
('hann', ()),
('exponential', ()),
('tukey', (0.5,)),
]
cheb_odd_true = array([0.200938, 0.107729, 0.134941, 0.165348,
0.198891, 0.235450, 0.274846, 0.316836,
0.361119, 0.407338, 0.455079, 0.503883,
0.553248, 0.602637, 0.651489, 0.699227,
0.745266, 0.789028, 0.829947, 0.867485,
0.901138, 0.930448, 0.955010, 0.974482,
0.988591, 0.997138, 1.000000, 0.997138,
0.988591, 0.974482, 0.955010, 0.930448,
0.901138, 0.867485, 0.829947, 0.789028,
0.745266, 0.699227, 0.651489, 0.602637,
0.553248, 0.503883, 0.455079, 0.407338,
0.361119, 0.316836, 0.274846, 0.235450,
0.198891, 0.165348, 0.134941, 0.107729,
0.200938])
cheb_even_true = array([0.203894, 0.107279, 0.133904,
0.163608, 0.196338, 0.231986,
0.270385, 0.311313, 0.354493,
0.399594, 0.446233, 0.493983,
0.542378, 0.590916, 0.639071,
0.686302, 0.732055, 0.775783,
0.816944, 0.855021, 0.889525,
0.920006, 0.946060, 0.967339,
0.983557, 0.994494, 1.000000,
1.000000, 0.994494, 0.983557,
0.967339, 0.946060, 0.920006,
0.889525, 0.855021, 0.816944,
0.775783, 0.732055, 0.686302,
0.639071, 0.590916, 0.542378,
0.493983, 0.446233, 0.399594,
0.354493, 0.311313, 0.270385,
0.231986, 0.196338, 0.163608,
0.133904, 0.107279, 0.203894])
class TestChebWin(object):
def test_cheb_odd_high_attenuation(self):
with warnings.catch_warnings():
warnings.simplefilter("ignore", UserWarning)
cheb_odd = signal.chebwin(53, at=-40)
assert_array_almost_equal(cheb_odd, cheb_odd_true, decimal=4)
def test_cheb_even_high_attenuation(self):
with warnings.catch_warnings():
warnings.simplefilter("ignore", UserWarning)
cheb_even = signal.chebwin(54, at=-40)
assert_array_almost_equal(cheb_even, cheb_even_true, decimal=4)
def test_cheb_odd_low_attenuation(self):
cheb_odd_low_at_true = array([1.000000, 0.519052, 0.586405,
0.610151, 0.586405, 0.519052,
1.000000])
with warnings.catch_warnings():
warnings.simplefilter("ignore", UserWarning)
cheb_odd = signal.chebwin(7, at=-10)
assert_array_almost_equal(cheb_odd, cheb_odd_low_at_true, decimal=4)
def test_cheb_even_low_attenuation(self):
cheb_even_low_at_true = array([1.000000, 0.451924, 0.51027,
0.541338, 0.541338, 0.51027,
0.451924, 1.000000])
with warnings.catch_warnings():
warnings.simplefilter("ignore", UserWarning)
cheb_even = signal.chebwin(8, at=-10)
assert_array_almost_equal(cheb_even, cheb_even_low_at_true, decimal=4)
exponential_data = {
(4, None, 0.2, False): array([4.53999297624848542e-05,
6.73794699908546700e-03, 1.00000000000000000e+00,
6.73794699908546700e-03]),
(4, None, 0.2, True): array([0.00055308437014783, 0.0820849986238988,
0.0820849986238988, 0.00055308437014783]),
(4, None, 1.0, False): array([0.1353352832366127, 0.36787944117144233, 1.,
0.36787944117144233]),
(4, None, 1.0, True): array([0.22313016014842982, 0.60653065971263342,
0.60653065971263342, 0.22313016014842982]),
(4, 2, 0.2, False): array([4.53999297624848542e-05, 6.73794699908546700e-03,
1.00000000000000000e+00, 6.73794699908546700e-03]),
(4, 2, 0.2, True): None,
(4, 2, 1.0, False): array([0.1353352832366127, 0.36787944117144233, 1.,
0.36787944117144233]),
(4, 2, 1.0, True): None,
(5, None, 0.2, False): array([4.53999297624848542e-05,
6.73794699908546700e-03, 1.00000000000000000e+00,
6.73794699908546700e-03, 4.53999297624848542e-05]),
(5, None, 0.2, True): array([4.53999297624848542e-05,
6.73794699908546700e-03, 1.00000000000000000e+00,
6.73794699908546700e-03, 4.53999297624848542e-05]),
(5, None, 1.0, False): array([0.1353352832366127, 0.36787944117144233, 1.,
0.36787944117144233, 0.1353352832366127]),
(5, None, 1.0, True): array([0.1353352832366127, 0.36787944117144233, 1.,
0.36787944117144233, 0.1353352832366127]),
(5, 2, 0.2, False): array([4.53999297624848542e-05, 6.73794699908546700e-03,
1.00000000000000000e+00, 6.73794699908546700e-03,
4.53999297624848542e-05]),
(5, 2, 0.2, True): None,
(5, 2, 1.0, False): array([0.1353352832366127, 0.36787944117144233, 1.,
0.36787944117144233, 0.1353352832366127]),
(5, 2, 1.0, True): None
}
def test_exponential():
for k, v in exponential_data.items():
if v is None:
assert_raises(ValueError, signal.exponential, *k)
else:
win = signal.exponential(*k)
assert_allclose(win, v, rtol=1e-14)
tukey_data = {
(4, 0.5, True): array([0.0, 1.0, 1.0, 0.0]),
(4, 0.9, True): array([0.0, 0.84312081893436686, 0.84312081893436686, 0.0]),
(4, 1.0, True): array([0.0, 0.75, 0.75, 0.0]),
(4, 0.5, False): array([0.0, 1.0, 1.0, 1.0]),
(4, 0.9, False): array([0.0, 0.58682408883346526, 1.0, 0.58682408883346526]),
(4, 1.0, False): array([0.0, 0.5, 1.0, 0.5]),
(5, 0.0, True): array([1.0, 1.0, 1.0, 1.0, 1.0]),
(5, 0.8, True): array([0.0, 0.69134171618254492, 1.0, 0.69134171618254492, 0.0]),
(5, 1.0, True): array([0.0, 0.5, 1.0, 0.5, 0.0]),
}
def test_tukey():
# Test against hardcoded data
for k, v in tukey_data.items():
if v is None:
assert_raises(ValueError, signal.tukey, *k)
else:
win = signal.tukey(*k)
assert_allclose(win, v, rtol=1e-14)
# Test extremes of alpha correspond to boxcar and hann
tuk0 = signal.tukey(100,0)
tuk1 = signal.tukey(100,1)
box0 = signal.boxcar(100)
han1 = signal.hann(100)
assert_array_almost_equal(tuk0, box0)
assert_array_almost_equal(tuk1, han1)
class TestGetWindow(object):
def test_boxcar(self):
w = signal.get_window('boxcar', 12)
assert_array_equal(w, np.ones_like(w))
def test_cheb_odd(self):
with warnings.catch_warnings():
warnings.simplefilter("ignore", UserWarning)
w = signal.get_window(('chebwin', -40), 53, fftbins=False)
assert_array_almost_equal(w, cheb_odd_true, decimal=4)
def test_cheb_even(self):
with warnings.catch_warnings():
warnings.simplefilter("ignore", UserWarning)
w = signal.get_window(('chebwin', -40), 54, fftbins=False)
assert_array_almost_equal(w, cheb_even_true, decimal=4)
def test_array_as_window(self):
# github issue 3603
osfactor = 128
sig = np.arange(128)
win = signal.get_window(('kaiser', 8.0), osfactor // 2)
assert_raises(ValueError, signal.resample, (sig, len(sig) * osfactor), {'window': win})
def test_windowfunc_basics():
for window_name, params in window_funcs:
window = getattr(signal, window_name)
with warnings.catch_warnings(record=True): # window is not suitable...
w1 = window(7, *params, sym=True)
w2 = window(7, *params, sym=False)
assert_array_almost_equal(w1, w2)
# just check the below runs
window(6, *params, sym=True)
window(6, *params, sym=False)
def test_needs_params():
for winstr in ['kaiser', 'ksr', 'gaussian', 'gauss', 'gss',
'general gaussian', 'general_gaussian',
'general gauss', 'general_gauss', 'ggs',
'slepian', 'optimal', 'slep', 'dss', 'dpss',
'chebwin', 'cheb', 'exponential', 'poisson', 'tukey',
'tuk']:
assert_raises(ValueError, signal.get_window, winstr, 7)
if __name__ == "__main__":
run_module_suite()
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