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#!/usr/bin/env python
from __future__ import division, print_function, absolute_import
import numpy as np
from numpy.testing import assert_allclose, assert_, assert_raises
import pywt
def test_upcoef_reconstruct():
data = np.arange(3)
a = pywt.downcoef('a', data, 'haar')
d = pywt.downcoef('d', data, 'haar')
rec = (pywt.upcoef('a', a, 'haar', take=3) +
pywt.upcoef('d', d, 'haar', take=3))
assert_allclose(rec, data)
def test_downcoef_multilevel():
rstate = np.random.RandomState(1234)
r = rstate.randn(16)
nlevels = 3
# calling with level=1 nlevels times
a1 = r.copy()
for i in range(nlevels):
a1 = pywt.downcoef('a', a1, 'haar', level=1)
# call with level=nlevels once
a3 = pywt.downcoef('a', r, 'haar', level=nlevels)
assert_allclose(a1, a3)
def test_downcoef_complex():
rstate = np.random.RandomState(1234)
r = rstate.randn(16) + 1j * rstate.randn(16)
nlevels = 3
a = pywt.downcoef('a', r, 'haar', level=nlevels)
a_ref = pywt.downcoef('a', r.real, 'haar', level=nlevels)
a_ref = a_ref + 1j * pywt.downcoef('a', r.imag, 'haar', level=nlevels)
assert_allclose(a, a_ref)
def test_downcoef_errs():
# invalid part string (not 'a' or 'd')
assert_raises(ValueError, pywt.downcoef, 'f', np.ones(16), 'haar')
def test_compare_downcoef_coeffs():
rstate = np.random.RandomState(1234)
r = rstate.randn(16)
# compare downcoef against wavedec outputs
for nlevels in [1, 2, 3]:
for wavelet in pywt.wavelist():
if wavelet in ['cmor', 'shan', 'fbsp']:
# skip these CWT families to avoid warnings
continue
wavelet = pywt.DiscreteContinuousWavelet(wavelet)
if isinstance(wavelet, pywt.Wavelet):
max_level = pywt.dwt_max_level(r.size, wavelet.dec_len)
if nlevels <= max_level:
a = pywt.downcoef('a', r, wavelet, level=nlevels)
d = pywt.downcoef('d', r, wavelet, level=nlevels)
coeffs = pywt.wavedec(r, wavelet, level=nlevels)
assert_allclose(a, coeffs[0])
assert_allclose(d, coeffs[1])
def test_upcoef_multilevel():
rstate = np.random.RandomState(1234)
r = rstate.randn(4)
nlevels = 3
# calling with level=1 nlevels times
a1 = r.copy()
for i in range(nlevels):
a1 = pywt.upcoef('a', a1, 'haar', level=1)
# call with level=nlevels once
a3 = pywt.upcoef('a', r, 'haar', level=nlevels)
assert_allclose(a1, a3)
def test_upcoef_complex():
rstate = np.random.RandomState(1234)
r = rstate.randn(4) + 1j*rstate.randn(4)
nlevels = 3
a = pywt.upcoef('a', r, 'haar', level=nlevels)
a_ref = pywt.upcoef('a', r.real, 'haar', level=nlevels)
a_ref = a_ref + 1j*pywt.upcoef('a', r.imag, 'haar', level=nlevels)
assert_allclose(a, a_ref)
def test_upcoef_errs():
# invalid part string (not 'a' or 'd')
assert_raises(ValueError, pywt.upcoef, 'f', np.ones(4), 'haar')
def test_upcoef_and_downcoef_1d_only():
# upcoef and downcoef raise a ValueError if data.ndim > 1d
for ndim in [2, 3]:
data = np.ones((8, )*ndim)
assert_raises(ValueError, pywt.downcoef, 'a', data, 'haar')
assert_raises(ValueError, pywt.upcoef, 'a', data, 'haar')
def test_wavelet_repr():
from pywt._extensions import _pywt
wavelet = _pywt.Wavelet('sym8')
repr_wavelet = eval(wavelet.__repr__())
assert_(wavelet.__repr__() == repr_wavelet.__repr__())
def test_dwt_max_level():
assert_(pywt.dwt_max_level(16, 2) == 4)
assert_(pywt.dwt_max_level(16, 8) == 1)
assert_(pywt.dwt_max_level(16, 9) == 1)
assert_(pywt.dwt_max_level(16, 10) == 0)
assert_(pywt.dwt_max_level(16, np.int8(10)) == 0)
assert_(pywt.dwt_max_level(16, 10.) == 0)
assert_(pywt.dwt_max_level(16, 18) == 0)
# accepts discrete Wavelet object or string as well
assert_(pywt.dwt_max_level(32, pywt.Wavelet('sym5')) == 1)
assert_(pywt.dwt_max_level(32, 'sym5') == 1)
# string input that is not a discrete wavelet
assert_raises(ValueError, pywt.dwt_max_level, 16, 'mexh')
# filter_len must be an integer >= 2
assert_raises(ValueError, pywt.dwt_max_level, 16, 1)
assert_raises(ValueError, pywt.dwt_max_level, 16, -1)
assert_raises(ValueError, pywt.dwt_max_level, 16, 3.3)
def test_ContinuousWavelet_errs():
assert_raises(ValueError, pywt.ContinuousWavelet, 'qwertz')
def test_ContinuousWavelet_repr():
from pywt._extensions import _pywt
wavelet = _pywt.ContinuousWavelet('gaus2')
repr_wavelet = eval(wavelet.__repr__())
assert_(wavelet.__repr__() == repr_wavelet.__repr__())
def test_wavelist():
for name in pywt.wavelist(family='coif'):
assert_(name.startswith('coif'))
assert_('cgau7' in pywt.wavelist(kind='continuous'))
assert_('sym20' in pywt.wavelist(kind='discrete'))
assert_(len(pywt.wavelist(kind='continuous')) +
len(pywt.wavelist(kind='discrete')) ==
len(pywt.wavelist(kind='all')))
assert_raises(ValueError, pywt.wavelist, kind='foobar')
def test_wavelet_errormsgs():
try:
pywt.Wavelet('gaus1')
except ValueError as e:
assert_(e.args[0].startswith('The `Wavelet` class'))
try:
pywt.Wavelet('cmord')
except ValueError as e:
assert_(e.args[0] == "Invalid wavelet name 'cmord'.")
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