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import os.path as op
import numpy as np
from numpy.testing import (assert_array_almost_equal, assert_almost_equal,
assert_array_equal, assert_allclose)
import pytest
from scipy.signal import resample as sp_resample, butter
from scipy.fftpack import fft, fftfreq
from mne import create_info
from mne.io import RawArray, read_raw_fif
from mne.filter import (filter_data, resample, _resample_stim_channels,
construct_iir_filter, notch_filter, detrend,
_overlap_add_filter, _smart_pad, design_mne_c_filter,
estimate_ringing_samples, create_filter, _Interp2)
from mne.utils import (sum_squared, run_tests_if_main,
catch_logging, requires_version, _TempDir,
requires_mne, run_subprocess)
rng = np.random.RandomState(0)
@requires_version('scipy', '0.16')
def test_filter_array():
"""Test filtering an array."""
for data in (np.zeros((11, 1, 10)), np.zeros((9, 1, 10))):
filter_data(data, 512., 8, 12, method='iir',
iir_params=dict(ftype='butterworth', order=2))
@requires_mne
def test_mne_c_design():
"""Test MNE-C filter design."""
tempdir = _TempDir()
temp_fname = op.join(tempdir, 'test_raw.fif')
out_fname = op.join(tempdir, 'test_c_raw.fif')
x = np.zeros((1, 10001))
x[0, 5000] = 1.
time_sl = slice(5000 - 4096, 5000 + 4097)
sfreq = 1000.
RawArray(x, create_info(1, sfreq, 'eeg')).save(temp_fname)
tols = dict(rtol=1e-4, atol=1e-4)
cmd = ('mne_process_raw', '--projoff', '--raw', temp_fname,
'--save', out_fname)
run_subprocess(cmd)
h = design_mne_c_filter(sfreq, None, 40)
h_c = read_raw_fif(out_fname)[0][0][0][time_sl]
assert_allclose(h, h_c, **tols)
run_subprocess(cmd + ('--highpass', '5', '--highpassw', '2.5'))
h = design_mne_c_filter(sfreq, 5, 40, 2.5)
h_c = read_raw_fif(out_fname)[0][0][0][time_sl]
assert_allclose(h, h_c, **tols)
run_subprocess(cmd + ('--lowpass', '1000', '--highpass', '10'))
h = design_mne_c_filter(sfreq, 10, None, verbose=True)
h_c = read_raw_fif(out_fname)[0][0][0][time_sl]
assert_allclose(h, h_c, **tols)
@requires_version('scipy', '0.16')
def test_estimate_ringing():
"""Test our ringing estimation function."""
# Actual values might differ based on system, so let's be approximate
for kind in ('ba', 'sos'):
for thresh, lims in ((0.1, (30, 60)), # 47
(0.01, (300, 600)), # 475
(0.001, (3000, 6000)), # 4758
(0.0001, (30000, 60000))): # 37993
n_ring = estimate_ringing_samples(butter(3, thresh, output=kind))
assert lims[0] <= n_ring <= lims[1], (
'%s %s: %s <= %s <= %s'
% (kind, thresh, lims[0], n_ring, lims[1]))
with pytest.warns(RuntimeWarning, match='properly estimate'):
assert estimate_ringing_samples(butter(4, 0.00001)) == 100000
def test_1d_filter():
"""Test our private overlap-add filtering function."""
# make some random signals and filters
for n_signal in (1, 2, 3, 5, 10, 20, 40):
x = rng.randn(n_signal)
for n_filter in (1, 2, 3, 5, 10, 11, 20, 21, 40, 41, 100, 101):
for filter_type in ('identity', 'random'):
if filter_type == 'random':
h = rng.randn(n_filter)
else: # filter_type == 'identity'
h = np.concatenate([[1.], np.zeros(n_filter - 1)])
# ensure we pad the signal the same way for both filters
n_pad = n_filter - 1
x_pad = _smart_pad(x, (n_pad, n_pad))
for phase in ('zero', 'linear', 'zero-double'):
# compute our expected result the slow way
if phase == 'zero':
# only allow zero-phase for odd-length filters
if n_filter % 2 == 0:
pytest.raises(RuntimeError, _overlap_add_filter,
x[np.newaxis], h, phase=phase)
continue
shift = (len(h) - 1) // 2
x_expected = np.convolve(x_pad, h)
x_expected = x_expected[shift:len(x_expected) - shift]
elif phase == 'zero-double':
shift = len(h) - 1
x_expected = np.convolve(x_pad, h)
x_expected = np.convolve(x_expected[::-1], h)[::-1]
x_expected = x_expected[shift:len(x_expected) - shift]
shift = 0
else:
shift = 0
x_expected = np.convolve(x_pad, h)
x_expected = x_expected[:len(x_expected) - len(h) + 1]
# remove padding
if n_pad > 0:
x_expected = x_expected[n_pad:len(x_expected) - n_pad]
assert len(x_expected) == len(x)
# make sure we actually set things up reasonably
if filter_type == 'identity':
out = x_pad.copy()
out = out[shift + n_pad:]
out = out[:len(x)]
out = np.concatenate((out, np.zeros(max(len(x) -
len(out), 0))))
assert len(out) == len(x)
assert_allclose(out, x_expected)
assert len(x_expected) == len(x)
# compute our version
for n_fft in (None, 32, 128, 129, 1023, 1024, 1025, 2048):
# need to use .copy() b/c signal gets modified inplace
x_copy = x[np.newaxis, :].copy()
min_fft = 2 * n_filter - 1
if phase == 'zero-double':
min_fft = 2 * min_fft - 1
if n_fft is not None and n_fft < min_fft:
pytest.raises(ValueError, _overlap_add_filter,
x_copy, h, n_fft, phase=phase)
else:
x_filtered = _overlap_add_filter(
x_copy, h, n_fft, phase=phase)[0]
assert_allclose(x_filtered, x_expected, atol=1e-13)
@requires_version('scipy', '0.16')
def test_iir_stability():
"""Test IIR filter stability check."""
sig = np.empty(1000)
sfreq = 1000
# This will make an unstable filter, should throw RuntimeError
pytest.raises(RuntimeError, filter_data, sig, sfreq, 0.6, None,
method='iir', iir_params=dict(ftype='butter', order=8,
output='ba'))
# This one should work just fine
filter_data(sig, sfreq, 0.6, None, method='iir',
iir_params=dict(ftype='butter', order=8, output='sos'))
# bad system type
pytest.raises(ValueError, filter_data, sig, sfreq, 0.6, None, method='iir',
iir_params=dict(ftype='butter', order=8, output='foo'))
# missing ftype
pytest.raises(RuntimeError, filter_data, sig, sfreq, 0.6, None,
method='iir', iir_params=dict(order=8, output='sos'))
# bad ftype
pytest.raises(RuntimeError, filter_data, sig, sfreq, 0.6, None,
method='iir',
iir_params=dict(order=8, ftype='foo', output='sos'))
# missing gstop
pytest.raises(RuntimeError, filter_data, sig, sfreq, 0.6, None,
method='iir', iir_params=dict(gpass=0.5, output='sos'))
# can't pass iir_params if method='fft'
pytest.raises(ValueError, filter_data, sig, sfreq, 0.1, None,
method='fft', iir_params=dict(ftype='butter', order=2,
output='sos'))
# method must be string
pytest.raises(TypeError, filter_data, sig, sfreq, 0.1, None,
method=1)
# unknown method
pytest.raises(ValueError, filter_data, sig, sfreq, 0.1, None,
method='blah')
# bad iir_params
pytest.raises(TypeError, filter_data, sig, sfreq, 0.1, None,
method='iir', iir_params='blah')
pytest.raises(ValueError, filter_data, sig, sfreq, 0.1, None,
method='fir', iir_params=dict())
# should pass because default trans_bandwidth is not relevant
iir_params = dict(ftype='butter', order=2, output='sos')
x_sos = filter_data(sig, 250, 0.5, None, method='iir',
iir_params=iir_params)
iir_params_sos = construct_iir_filter(iir_params, f_pass=0.5, sfreq=250,
btype='highpass')
x_sos_2 = filter_data(sig, 250, 0.5, None, method='iir',
iir_params=iir_params_sos)
assert_allclose(x_sos[100:-100], x_sos_2[100:-100])
x_ba = filter_data(sig, 250, 0.5, None, method='iir',
iir_params=dict(ftype='butter', order=2, output='ba'))
# Note that this will fail for higher orders (e.g., 6) showing the
# hopefully decreased numerical error of SOS
assert_allclose(x_sos[100:-100], x_ba[100:-100])
def test_notch_filters():
"""Test notch filters."""
# let's use an ugly, prime sfreq for fun
sfreq = 487.0
sig_len_secs = 20
t = np.arange(0, int(sig_len_secs * sfreq)) / sfreq
freqs = np.arange(60, 241, 60)
# make a "signal"
a = rng.randn(int(sig_len_secs * sfreq))
orig_power = np.sqrt(np.mean(a ** 2))
# make line noise
a += np.sum([np.sin(2 * np.pi * f * t) for f in freqs], axis=0)
# only allow None line_freqs with 'spectrum_fit' mode
pytest.raises(ValueError, notch_filter, a, sfreq, None, 'fft')
pytest.raises(ValueError, notch_filter, a, sfreq, None, 'iir')
methods = ['spectrum_fit', 'spectrum_fit', 'fft', 'fft', 'iir']
filter_lengths = ['auto', 'auto', 'auto', 8192, 'auto']
line_freqs = [None, freqs, freqs, freqs, freqs]
tols = [2, 1, 1, 1]
for meth, lf, fl, tol in zip(methods, line_freqs, filter_lengths, tols):
with catch_logging() as log_file:
with pytest.warns(None):
b = notch_filter(a, sfreq, lf, fl, method=meth,
fir_design='firwin', verbose=True)
if lf is None:
out = log_file.getvalue().split('\n')[:-1]
if len(out) != 2 and len(out) != 3: # force_serial: len(out) == 3
raise ValueError('Detected frequencies not logged properly')
out = np.fromstring(out[-1], sep=', ')
assert_array_almost_equal(out, freqs)
new_power = np.sqrt(sum_squared(b) / b.size)
assert_almost_equal(new_power, orig_power, tol)
def test_resample():
"""Test resampling."""
x = rng.normal(0, 1, (10, 10, 10))
x_rs = resample(x, 1, 2, 10)
assert x.shape == (10, 10, 10)
assert x_rs.shape == (10, 10, 5)
x_2 = x.swapaxes(0, 1)
x_2_rs = resample(x_2, 1, 2, 10)
assert_array_equal(x_2_rs.swapaxes(0, 1), x_rs)
x_3 = x.swapaxes(0, 2)
x_3_rs = resample(x_3, 1, 2, 10, 0)
assert_array_equal(x_3_rs.swapaxes(0, 2), x_rs)
# make sure we cast to array if necessary
assert_array_equal(resample([0, 0], 2, 1), [0., 0., 0., 0.])
@requires_version('scipy', '1.0') # earlier versions have a Nyquist bug
def test_resample_scipy():
"""Test resampling against SciPy."""
n_jobs_test = (1, 'cuda')
for window in ('boxcar', 'hann'):
for N in (100, 101, 102, 103):
x = np.arange(N).astype(float)
err_msg = '%s: %s' % (N, window)
x_2_sp = sp_resample(x, 2 * N, window=window)
for n_jobs in n_jobs_test:
x_2 = resample(x, 2, 1, 0, window=window, n_jobs=n_jobs)
assert_allclose(x_2, x_2_sp, atol=1e-12, err_msg=err_msg)
new_len = int(round(len(x) * (1. / 2.)))
x_p5_sp = sp_resample(x, new_len, window=window)
for n_jobs in n_jobs_test:
x_p5 = resample(x, 1, 2, 0, window=window, n_jobs=n_jobs)
assert_allclose(x_p5, x_p5_sp, atol=1e-12, err_msg=err_msg)
def test_resamp_stim_channel():
"""Test resampling of stim channels."""
# Downsampling
assert_array_equal(
_resample_stim_channels([1, 0, 0, 0, 2, 0, 0, 0], 1, 2),
[[1, 0, 2, 0]])
assert_array_equal(
_resample_stim_channels([1, 0, 0, 0, 2, 0, 0, 0], 1, 1.5),
[[1, 0, 0, 2, 0]])
assert_array_equal(
_resample_stim_channels([1, 0, 0, 1, 2, 0, 0, 1], 1, 2),
[[1, 1, 2, 1]])
# Upsampling
assert_array_equal(
_resample_stim_channels([1, 2, 3], 2, 1), [[1, 1, 2, 2, 3, 3]])
assert_array_equal(
_resample_stim_channels([1, 2, 3], 2.5, 1), [[1, 1, 1, 2, 2, 3, 3, 3]])
# Proper number of samples in stim channel resampling from io/base.py
data_chunk = np.zeros((1, 315600))
for new_data_len in (52598, 52599, 52600, 52601, 315599, 315600):
new_data = _resample_stim_channels(data_chunk, new_data_len,
data_chunk.shape[1])
assert new_data.shape[1] == new_data_len
def test_resample_raw():
"""Test resampling using RawArray."""
x = np.zeros((1, 1001))
sfreq = 2048.
raw = RawArray(x, create_info(1, sfreq, 'eeg'))
raw.resample(128, npad=10)
data = raw.get_data()
assert data.shape == (1, 63)
@requires_version('scipy', '0.16')
@pytest.mark.slowtest
def test_filters():
"""Test low-, band-, high-pass, and band-stop filters plus resampling."""
sfreq = 100
sig_len_secs = 15
a = rng.randn(2, sig_len_secs * sfreq)
# let's test our catchers
for fl in ['blah', [0, 1], 1000.5, '10ss', '10']:
pytest.raises(ValueError, filter_data, a, sfreq, 4, 8, None, fl,
1.0, 1.0, fir_design='firwin')
for nj in ['blah', 0.5]:
pytest.raises(ValueError, filter_data, a, sfreq, 4, 8, None, 1000,
1.0, 1.0, n_jobs=nj, phase='zero', fir_design='firwin')
pytest.raises(ValueError, filter_data, a, sfreq, 4, 8, None, 100,
1., 1., fir_window='foo')
pytest.raises(ValueError, filter_data, a, sfreq, 4, 8, None, 10,
1., 1., fir_design='firwin') # too short
# > Nyq/2
pytest.raises(ValueError, filter_data, a, sfreq, 4, sfreq / 2., None,
100, 1.0, 1.0, fir_design='firwin')
pytest.raises(ValueError, filter_data, a, sfreq, -1, None, None,
100, 1.0, 1.0, fir_design='firwin')
# these should work
create_filter(None, sfreq, None, None)
create_filter(a, sfreq, None, None, fir_design='firwin')
create_filter(a, sfreq, None, None, method='iir')
# check our short-filter warning:
with pytest.warns(RuntimeWarning, match='attenuation'):
# Warning for low attenuation
filter_data(a, sfreq, 1, 8, filter_length=256, fir_design='firwin2')
with pytest.warns(RuntimeWarning, match='Increase filter_length'):
# Warning for too short a filter
filter_data(a, sfreq, 1, 8, filter_length='0.5s', fir_design='firwin2')
# try new default and old default
freqs = fftfreq(a.shape[-1], 1. / sfreq)
A = np.abs(fft(a))
kwargs = dict(fir_design='firwin')
for fl in ['auto', '10s', '5000ms', 1024, 1023]:
bp = filter_data(a, sfreq, 4, 8, None, fl, 1.0, 1.0, **kwargs)
bs = filter_data(a, sfreq, 8 + 1.0, 4 - 1.0, None, fl, 1.0, 1.0,
**kwargs)
lp = filter_data(a, sfreq, None, 8, None, fl, 10, 1.0, n_jobs=2,
**kwargs)
hp = filter_data(lp, sfreq, 4, None, None, fl, 1.0, 10, **kwargs)
assert_allclose(hp, bp, rtol=1e-3, atol=1e-3)
assert_allclose(bp + bs, a, rtol=1e-3, atol=1e-3)
# Sanity check ttenuation
mask = (freqs > 5.5) & (freqs < 6.5)
assert_allclose(np.mean(np.abs(fft(bp)[:, mask]) / A[:, mask]),
1., atol=0.02)
assert_allclose(np.mean(np.abs(fft(bs)[:, mask]) / A[:, mask]),
0., atol=0.2)
# now the minimum-phase versions
bp = filter_data(a, sfreq, 4, 8, None, fl, 1.0, 1.0,
phase='minimum', **kwargs)
bs = filter_data(a, sfreq, 8 + 1.0, 4 - 1.0, None, fl, 1.0, 1.0,
phase='minimum', **kwargs)
assert_allclose(np.mean(np.abs(fft(bp)[:, mask]) / A[:, mask]),
1., atol=0.11)
assert_allclose(np.mean(np.abs(fft(bs)[:, mask]) / A[:, mask]),
0., atol=0.3)
# and since these are low-passed, downsampling/upsampling should be close
n_resamp_ignore = 10
bp_up_dn = resample(resample(bp, 2, 1, n_jobs=2), 1, 2, n_jobs=2)
assert_array_almost_equal(bp[n_resamp_ignore:-n_resamp_ignore],
bp_up_dn[n_resamp_ignore:-n_resamp_ignore], 2)
# note that on systems without CUDA, this line serves as a test for a
# graceful fallback to n_jobs=1
bp_up_dn = resample(resample(bp, 2, 1, n_jobs='cuda'), 1, 2, n_jobs='cuda')
assert_array_almost_equal(bp[n_resamp_ignore:-n_resamp_ignore],
bp_up_dn[n_resamp_ignore:-n_resamp_ignore], 2)
# test to make sure our resamling matches scipy's
bp_up_dn = sp_resample(sp_resample(bp, 2 * bp.shape[-1], axis=-1,
window='boxcar'),
bp.shape[-1], window='boxcar', axis=-1)
assert_array_almost_equal(bp[n_resamp_ignore:-n_resamp_ignore],
bp_up_dn[n_resamp_ignore:-n_resamp_ignore], 2)
# make sure we don't alias
t = np.array(list(range(sfreq * sig_len_secs))) / float(sfreq)
# make sinusoid close to the Nyquist frequency
sig = np.sin(2 * np.pi * sfreq / 2.2 * t)
# signal should disappear with 2x downsampling
sig_gone = resample(sig, 1, 2)[n_resamp_ignore:-n_resamp_ignore]
assert_array_almost_equal(np.zeros_like(sig_gone), sig_gone, 2)
# let's construct some filters
iir_params = dict(ftype='cheby1', gpass=1, gstop=20, output='ba')
iir_params = construct_iir_filter(iir_params, 40, 80, 1000, 'low')
# this should be a third order filter
assert iir_params['a'].size - 1 == 3
assert iir_params['b'].size - 1 == 3
iir_params = dict(ftype='butter', order=4, output='ba')
iir_params = construct_iir_filter(iir_params, 40, None, 1000, 'low')
assert iir_params['a'].size - 1 == 4
assert iir_params['b'].size - 1 == 4
iir_params = dict(ftype='cheby1', gpass=1, gstop=20)
iir_params = construct_iir_filter(iir_params, 40, 80, 1000, 'low')
# this should be a third order filter, which requires 2 SOS ((2, 6))
assert iir_params['sos'].shape == (2, 6)
iir_params = dict(ftype='butter', order=4, output='sos')
iir_params = construct_iir_filter(iir_params, 40, None, 1000, 'low')
assert iir_params['sos'].shape == (2, 6)
# check that picks work for 3d array with one channel and picks=[0]
a = rng.randn(5 * sfreq, 5 * sfreq)
b = a[:, None, :]
a_filt = filter_data(a, sfreq, 4, 8, None, 400, 2.0, 2.0,
fir_design='firwin')
b_filt = filter_data(b, sfreq, 4, 8, [0], 400, 2.0, 2.0,
fir_design='firwin')
assert_array_equal(a_filt[:, None, :], b_filt)
# check for n-dimensional case
a = rng.randn(2, 2, 2, 2)
with pytest.warns(RuntimeWarning, match='longer'):
pytest.raises(ValueError, filter_data, a, sfreq, 4, 8,
np.array([0, 1]), 100, 1.0, 1.0)
# check corner case (#4693)
h = create_filter(
np.empty(10000), 1000., l_freq=None, h_freq=55.,
h_trans_bandwidth=0.5, method='fir', phase='zero-double',
fir_design='firwin', verbose=True)
assert len(h) == 6601
def test_filter_auto():
"""Test filter auto parameters."""
# test that our overlap-add filtering doesn't introduce strange
# artifacts (from mne_analyze mailing list 2015/06/25)
N = 300
sfreq = 100.
lp = 10.
sine_freq = 1.
x = np.ones(N)
t = np.arange(N) / sfreq
x += np.sin(2 * np.pi * sine_freq * t)
x_orig = x.copy()
for pad in ('reflect_limited', 'reflect', 'edge'):
for fir_design in ('firwin2', 'firwin'):
kwargs = dict(fir_design=fir_design, pad=pad)
x = x_orig.copy()
x_filt = filter_data(x, sfreq, None, lp, **kwargs)
assert_array_equal(x, x_orig)
n_edge = 10
assert_allclose(x[n_edge:-n_edge], x_filt[n_edge:-n_edge],
atol=1e-2)
assert_array_equal(x_filt, filter_data(x, sfreq, None, lp, None,
**kwargs))
assert_array_equal(x, x_orig)
assert_array_equal(x_filt, filter_data(x, sfreq, None, lp,
**kwargs))
assert_array_equal(x, x_orig)
assert_array_equal(x_filt, filter_data(x, sfreq, None, lp,
copy=False, **kwargs))
assert_array_equal(x, x_filt)
# degenerate conditions
pytest.raises(ValueError, filter_data, x, -sfreq, 1, 10)
pytest.raises(ValueError, filter_data, x, sfreq, 1, sfreq * 0.75)
pytest.raises(TypeError, filter_data, x.astype(np.float32), sfreq, None,
10, filter_length='auto', h_trans_bandwidth='auto', **kwargs)
def test_cuda_fir():
"""Test CUDA-based filtering."""
# Using `n_jobs='cuda'` on a non-CUDA system should be fine,
# as it should fall back to using n_jobs=1.
sfreq = 500
sig_len_secs = 20
a = rng.randn(sig_len_secs * sfreq)
kwargs = dict(fir_design='firwin')
with catch_logging() as log_file:
for fl in ['auto', '10s', 2048]:
args = [a, sfreq, 4, 8, None, fl, 1.0, 1.0]
bp = filter_data(*args, **kwargs)
bp_c = filter_data(*args, n_jobs='cuda', verbose='info', **kwargs)
assert_array_almost_equal(bp, bp_c, 12)
args = [a, sfreq, 8 + 1.0, 4 - 1.0, None, fl, 1.0, 1.0]
bs = filter_data(*args, **kwargs)
bs_c = filter_data(*args, n_jobs='cuda', verbose='info', **kwargs)
assert_array_almost_equal(bs, bs_c, 12)
args = [a, sfreq, None, 8, None, fl, 1.0]
lp = filter_data(*args, **kwargs)
lp_c = filter_data(*args, n_jobs='cuda', verbose='info', **kwargs)
assert_array_almost_equal(lp, lp_c, 12)
args = [lp, sfreq, 4, None, None, fl, 1.0]
hp = filter_data(*args, **kwargs)
hp_c = filter_data(*args, n_jobs='cuda', verbose='info', **kwargs)
assert_array_almost_equal(hp, hp_c, 12)
# check to make sure we actually used CUDA
out = log_file.getvalue().split('\n')[:-1]
# triage based on whether or not we actually expected to use CUDA
from mne.cuda import _cuda_capable # allow above funs to set it
tot = 12 if _cuda_capable else 0
assert sum(['Using CUDA for FFT FIR filtering' in o for o in out]) == tot
if not _cuda_capable:
pytest.skip('CUDA not enabled')
def test_cuda_resampling():
"""Test CUDA resampling."""
for window in ('boxcar', 'triang'):
for N in (997, 1000): # one prime, one even
a = rng.randn(2, N)
for fro, to in ((1, 2), (2, 1), (1, 3), (3, 1)):
a1 = resample(a, fro, to, n_jobs=1, npad='auto',
window=window)
a2 = resample(a, fro, to, n_jobs='cuda', npad='auto',
window=window)
assert_allclose(a1, a2, rtol=1e-7, atol=1e-14)
assert_array_almost_equal(a1, a2, 14)
assert_array_equal(resample([0, 0], 2, 1, n_jobs='cuda'), [0., 0., 0., 0.])
assert_array_equal(resample(np.zeros(2, np.float32), 2, 1, n_jobs='cuda'),
[0., 0., 0., 0.])
from mne.cuda import _cuda_capable # allow above funs to set it
if not _cuda_capable:
pytest.skip('CUDA not enabled')
def test_detrend():
"""Test zeroth and first order detrending."""
x = np.arange(10)
assert_array_almost_equal(detrend(x, 1), np.zeros_like(x))
x = np.ones(10)
assert_array_almost_equal(detrend(x, 0), np.zeros_like(x))
def test_interp2():
"""Test our two-point interpolator."""
interp = _Interp2('zero')
x = np.ones((1, 100))
interp['y'] = np.array([[10.]])
interp['y'] = np.array([[-10]])
interp.n_samp = 100
out = np.zeros_like(x)
interp.interpolate('y', x, out)
expected = 10 * x
assert_allclose(out, expected, atol=1e-7)
# Linear
interp.interp = 'linear'
out.fill(0.)
interp.interpolate('y', x, out)
expected = np.linspace(10, -10, 100, endpoint=False)[np.newaxis]
assert_allclose(out, expected, atol=1e-7)
run_tests_if_main()
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