From 109187e4a13367dbfd22cb7b4a3c4a1991c386e1 Mon Sep 17 00:00:00 2001 From: Todd Jennings Date: Sun, 6 Oct 2013 10:14:13 +0200 Subject: [PATCH 1/9] add more spectrum functions and add new spectrum types to specgram in mlab.py, and clean up window and detrend functions in mlab.py --- lib/matplotlib/mlab.py | 895 ++++++++++++++++++++++++++++++++--------- 1 file changed, 716 insertions(+), 179 deletions(-) diff --git a/lib/matplotlib/mlab.py b/lib/matplotlib/mlab.py index 6ca377e2447f..55973866f200 100644 --- a/lib/matplotlib/mlab.py +++ b/lib/matplotlib/mlab.py @@ -7,61 +7,73 @@ ------------------------------- :func:`cohere` - Coherence (normalized cross spectral density) + Coherence (normalized cross spectral density) :func:`csd` - Cross spectral density uing Welch's average periodogram + Cross spectral density uing Welch's average periodogram :func:`detrend` - Remove the mean or best fit line from an array + Remove the mean or best fit line from an array :func:`find` - Return the indices where some condition is true; - numpy.nonzero is similar but more general. + Return the indices where some condition is true; + numpy.nonzero is similar but more general. :func:`griddata` - interpolate irregularly distributed data to a - regular grid. + Interpolate irregularly distributed data to a + regular grid. :func:`prctile` - find the percentiles of a sequence + Find the percentiles of a sequence :func:`prepca` - Principal Component Analysis + Principal Component Analysis :func:`psd` - Power spectral density uing Welch's average periodogram + Power spectral density uing Welch's average periodogram :func:`rk4` - A 4th order runge kutta integrator for 1D or ND systems + A 4th order runge kutta integrator for 1D or ND systems :func:`specgram` - Spectrogram (power spectral density over segments of time) + Spectrogram (spectrum over segments of time) Miscellaneous functions ------------------------- Functions that don't exist in MATLAB, but are useful anyway: -:meth:`cohere_pairs` +:func:`cohere_pairs` Coherence over all pairs. This is not a MATLAB function, but we compute coherence a lot in my lab, and we compute it for a lot of pairs. This function is optimized to do this efficiently by caching the direct FFTs. -:meth:`rk4` +:func:`rk4` A 4th order Runge-Kutta ODE integrator in case you ever find yourself stranded without scipy (and the far superior scipy.integrate tools) -:meth:`contiguous_regions` - return the indices of the regions spanned by some logical mask +:func:`contiguous_regions` + Return the indices of the regions spanned by some logical mask + +:func:`cross_from_below` + Return the indices where a 1D array crosses a threshold from below + +:func:`cross_from_above` + Return the indices where a 1D array crosses a threshold from above + +:func:`complex_spectrum` + Return the complex-valued frequency spectrum of a signal + +:func:`magnitude_spectrum` + Return the magnitude of the frequency spectrum of a signal -:meth:`cross_from_below` - return the indices where a 1D array crosses a threshold from below +:func:`angle_spectrum` + Return the angle (wrapped phase) of the frequency spectrum of a signal -:meth:`cross_from_above` - return the indices where a 1D array crosses a threshold from above +:func:`phase_spectrum` + Return the phase (unwrapped angle) of the frequency spectrum of a signal record array helper functions @@ -73,32 +85,32 @@ See :ref:`misc-examples-index` -:meth:`rec2txt` - pretty print a record array +:func:`rec2txt` + Pretty print a record array -:meth:`rec2csv` - store record array in CSV file +:func:`rec2csv` + Store record array in CSV file -:meth:`csv2rec` - import record array from CSV file with type inspection +:func:`csv2rec` + Import record array from CSV file with type inspection -:meth:`rec_append_fields` - adds field(s)/array(s) to record array +:func:`rec_append_fields` + Adds field(s)/array(s) to record array -:meth:`rec_drop_fields` - drop fields from record array +:func:`rec_drop_fields` + Drop fields from record array -:meth:`rec_join` - join two record arrays on sequence of fields +:func:`rec_join` + Join two record arrays on sequence of fields -:meth:`recs_join` - a simple join of multiple recarrays using a single column as a key +:func:`recs_join` + A simple join of multiple recarrays using a single column as a key -:meth:`rec_groupby` - summarize data by groups (similar to SQL GROUP BY) +:func:`rec_groupby` + Summarize data by groups (similar to SQL GROUP BY) -:meth:`rec_summarize` - helper code to filter rec array fields into new fields +:func:`rec_summarize` + Helper code to filter rec array fields into new fields For the rec viewer functions(e rec2csv), there are a bunch of Format objects you can pass into the functions that will do things like color @@ -133,11 +145,11 @@ care--function signatures may differ): -:meth:`load` - load ASCII file - use numpy.loadtxt +:func:`load` + Load ASCII file - use numpy.loadtxt -:meth:`save` - save ASCII file - use numpy.savetxt +:func:`save` + Save ASCII file - use numpy.savetxt """ @@ -149,7 +161,11 @@ if six.PY3: long = int -import csv, warnings, copy, os, operator +import copy +import csv +import operator +import os +import warnings import numpy as np ma = np.ma @@ -160,29 +176,112 @@ from matplotlib.path import Path -def logspace(xmin,xmax,N): +def logspace(xmin, xmax, N): + ''' + Return N values logarithmically spaced between xmin and xmax. + + Call signature:: + + logspace(xmin, xmax, N) + ''' return np.exp(np.linspace(np.log(xmin), np.log(xmax), N)) + def _norm(x): - "return sqrt(x dot x)" - return np.sqrt(np.dot(x,x)) + ''' + Return sqrt(x dot x). + + Call signature:: + + _norm(x) + ''' + return np.sqrt(np.dot(x, x)) + def window_hanning(x): - "return x times the hanning window of len(x)" + ''' + Return x times the hanning window of len(x). + + Call signature:: + + window_hanning(x) + + .. seealso:: + + :func:`window_none` + :func:`window_none` is another window algorithm. + ''' return np.hanning(len(x))*x + def window_none(x): - "No window function; simply return x" + ''' + No window function; simply return x. + + Call signature:: + + window_none(x) + + .. seealso:: + + :func:`window_hanning` + :func:`window_hanning` is another window algorithm. + ''' return x -def detrend(x, key=None): - if key is None or key=='constant': + +def detrend(x, key='mean'): + ''' + Return x with its trend removed. + + Call signature:: + + detrend(x, key='mean') + + *key*: [ 'default' | 'constant' | 'mean' | 'linear' | 'none'] + Specifies the detrend algorithm to use. 'default' is 'mean', + which is the same as :func:`detrend_mean`. 'constant' is the same. + 'linear' is the same as :func:`detrend_linear`. 'none' is the same + as :func:`detrend_none`. The default is 'mean'. See the + corresponding functions for more details regarding the algorithms. + + .. seealso:: + + :func:`detrend_mean` + :func:`detrend_mean` implements the 'mean' algorithm. + + :func:`detrend_linear` + :func:`detrend_linear` implements the 'linear' algorithm. + + :func:`detrend_none` + :func:`detrend_none` implements the 'none' algorithm. + ''' + if key is None or key in ['constant', 'mean', 'default']: return detrend_mean(x) - elif key=='linear': + elif key == 'linear': return detrend_linear(x) + elif key == 'none': + return detrend_none(x) + def demean(x, axis=0): - "Return x minus its mean along the specified axis" + ''' + Return x minus its mean along the specified axis. + + Call signature:: + + demean(x, axis=0) + + *axis*: integer + The axis along which to take the mean. See numpy.mean for a + description of this argument. + + .. seealso:: + + :func:`detrend_mean` + This function is the same as as :func:`detrend_mean` when *axis* + is None. + ''' x = np.asarray(x) if axis == 0 or axis is None or x.ndim <= 1: return x - x.mean(axis) @@ -190,48 +289,120 @@ def demean(x, axis=0): ind[axis] = np.newaxis return x - x.mean(axis)[ind] + def detrend_mean(x): - "Return x minus the mean(x)" - return x - x.mean() + ''' + Return x minus the mean(x). + + Call signature:: + + detrend_mean(x) + + .. seealso:: + + :func:`demean` + This function is the same as as :func:`demean` when *axis* is None. + + :func:`detrend_linear` + :func:`detrend_none` + :func:`detrend_linear` and :func:`detrend_none` are other + detrend algorithms. + + :func:`detrend` + :func:`detrend` is a wrapper around all the detrend algorithms. + ''' + return demean(x, axis=None) + def detrend_none(x): - "Return x: no detrending" + ''' + Return x: no detrending. + + Call signature:: + + detrend_none(x) + + .. seealso:: + + :func:`detrend_mean` + :func:`detrend_linear` + :func:`detrend_mean` and :func:`detrend_linear` are other + detrend algorithms. + + :func:`detrend` + :func:`detrend` is a wrapper around all the detrend algorithms. + ''' return x + def detrend_linear(y): - "Return y minus best fit line; 'linear' detrending " + ''' + Return y minus best fit line; 'linear' detrending. + + Call signature:: + + detrend_linear(x) + + .. seealso:: + + :func:`detrend_mean` + :func:`detrend_none` + :func:`detrend_mean` and :func:`detrend_none` are other + detrend algorithms. + + :func:`detrend` + :func:`detrend` is a wrapper around all the detrend algorithms. + ''' # This is faster than an algorithm based on linalg.lstsq. x = np.arange(len(y), dtype=np.float_) C = np.cov(x, y, bias=1) - b = C[0,1]/C[0,0] + b = C[0, 1]/C[0, 0] a = y.mean() - b*x.mean() return y - (b*x + a) -#This is a helper function that implements the commonality between the -#psd, csd, and spectrogram. It is *NOT* meant to be used outside of mlab -def _spectral_helper(x, y, NFFT=256, Fs=2, detrend=detrend_none, - window=window_hanning, noverlap=0, pad_to=None, sides='default', - scale_by_freq=None): - #The checks for if y is x are so that we can use the same function to - #implement the core of psd(), csd(), and spectrogram() without doing - #extra calculations. We return the unaveraged Pxy, freqs, and t. - same_data = y is x + +def _spectral_helper(x, y=None, NFFT=256, Fs=2, detrend=detrend_none, + window=window_hanning, noverlap=0, pad_to=None, + sides='default', scale_by_freq=None, mode='default'): + ''' + This is a helper function that implements the commonality between the + psd, csd, spectrogram and complex, magnitude, angle, and phase spectrums. + It is *NOT* meant to be used outside of mlab and may change at any time. + ''' + if y is None: + # if y is None use x for y + same_data = True + else: + #The checks for if y is x are so that we can use the same function to + #implement the core of psd(), csd(), and spectrogram() without doing + #extra calculations. We return the unaveraged Pxy, freqs, and t. + same_data = y is x + + if NFFT % 2 != 0: + raise ValueError('NFFT must be even') + + if mode is None or mode == 'default': + mode = 'density' + if not same_data and mode != 'density': + raise ValueError("x and y must be equal if mode is not 'density'") #Make sure we're dealing with a numpy array. If y and x were the same #object to start with, keep them that way x = np.asarray(x) if not same_data: y = np.asarray(y) - else: - y = x + + # if NFFT is set to None use the whole signal + if NFFT is None: + NFFT = len(x) # zero pad x and y up to NFFT if they are shorter than NFFT - if len(x)1: - Pxy = Pxy.mean(axis=1) + .. seealso:: + + :func:`psd` + :func:`psd` is the equivalent to setting y=x. + """ + if NFFT is None: + NFFT = 256 + Pxy, freqs, _ = _spectral_helper(x=x, y=y, NFFT=NFFT, Fs=Fs, + detrend=detrend, window=window, + noverlap=noverlap, pad_to=pad_to, + sides=sides, scale_by_freq=scale_by_freq, + mode='density') + + if len(Pxy.shape) == 2: + if Pxy.shape[1] > 1: + Pxy = Pxy.mean(axis=1) + else: + Pxy = Pxy[:, 0] return Pxy, freqs + +@docstring.dedent_interpd +def complex_spectrum(x, Fs=2, window=window_hanning, pad_to=None, + sides='default'): + """ + Compute the complex-valued frequency spectrum of *x*. Data is padded to a + length of *pad_to* and the windowing function *window* is applied to the + signal. + + *x*: 1-D array or sequence + Array or sequence containing the data + + %(Spectral)s + + %(Single_Spectrum)s + + Returns the tuple (*spectrum*, *freqs*): + + *spectrum*: 1-D array + The values for the complex spectrum (complex valued) + + *freqs*: 1-D array + The frequencies corresponding to the elements in *spectrum* + + .. seealso:: + + :func:`magnitude_spectrum` + :func:`magnitude_spectrum` returns the absolute value of this + function. + + :func:`angle_spectrum` + :func:`angle_spectrum` returns the angle of this + function. + + :func:`phase_spectrum` + :func:`phase_spectrum` returns the phase (unwrapped angle) of this + function. + + :func:`specgram` + :func:`specgram` can return the complex spectrum of segments + within the signal. + """ + return _single_spectrum_helper(x=x, Fs=Fs, window=window, pad_to=pad_to, + sides=sides, mode='complex') + + +@docstring.dedent_interpd +def magnitude_spectrum(x, Fs=2, window=window_hanning, pad_to=None, + sides='default'): + """ + Compute the magnitude (absolute value) of the frequency spectrum of + *x*. Data is padded to a length of *pad_to* and the windowing function + *window* is applied to the signal. + + *x*: 1-D array or sequence + Array or sequence containing the data + + %(Spectral)s + + %(Single_Spectrum)s + + Returns the tuple (*spectrum*, *freqs*): + + *spectrum*: 1-D array + The values for the magnitude spectrum (real valued) + + *freqs*: 1-D array + The frequencies corresponding to the elements in *spectrum* + + .. seealso:: + + :func:`psd` + :func:`psd` returns the power spectral density. + + :func:`complex_spectrum` + This function returns the absolute value of + :func:`complex_spectrum`. + + :func:`angle_spectrum` + :func:`angle_spectrum` returns the angles of the corresponding + frequencies. + + :func:`phase_spectrum` + :func:`phase_spectrum` returns the phase (unwrapped angle) of the + corresponding frequencies. + + :func:`specgram` + :func:`specgram` can return the magnitude spectrum of segments + within the signal. + """ + return _single_spectrum_helper(x=x, Fs=Fs, window=window, pad_to=pad_to, + sides=sides, mode='magnitude') + + +@docstring.dedent_interpd +def angle_spectrum(x, Fs=2, window=window_hanning, pad_to=None, + sides='default'): + """ + Compute the angle of the frequency spectrum (wrapped phase spectrum) of + *x*. Data is padded to a length of *pad_to* and the windowing function + *window* is applied to the signal. + + *x*: 1-D array or sequence + Array or sequence containing the data + + %(Spectral)s + + %(Single_Spectrum)s + + Returns the tuple (*spectrum*, *freqs*): + + *spectrum*: 1-D array + The values for the angle spectrum in radians (real valued) + + *freqs*: 1-D array + The frequencies corresponding to the elements in *spectrum* + + .. seealso:: + + :func:`complex_spectrum` + This function returns the angle value of + :func:`complex_spectrum`. + + :func:`magnitude_spectrum` + :func:`angle_spectrum` returns the magnitudes of the + corresponding frequencies. + + :func:`phase_spectrum` + :func:`phase_spectrum` returns the unwrapped version of this + function. + + :func:`specgram` + :func:`specgram` can return the angle spectrum of segments + within the signal. + """ + return _single_spectrum_helper(x=x, Fs=Fs, window=window, pad_to=pad_to, + sides=sides, mode='angle') + + +@docstring.dedent_interpd +def phase_spectrum(x, Fs=2, window=window_hanning, pad_to=None, + sides='default'): + """ + Compute the phase of the frequency spectrum (unwrapped angle spectrum) of + *x*. Data is padded to a length of *pad_to* and the windowing function + *window* is applied to the signal. + + *x*: 1-D array or sequence + Array or sequence containing the data + + %(Spectral)s + + %(Single_Spectrum)s + + Returns the tuple (*spectrum*, *freqs*): + + *spectrum*: 1-D array + The values for the phase spectrum in radians (real valued) + + *freqs*: 1-D array + The frequencies corresponding to the elements in *spectrum* + + .. seealso:: + + :func:`complex_spectrum` + This function returns the angle value of + :func:`complex_spectrum`. + + :func:`magnitude_spectrum` + :func:`magnitude_spectrum` returns the magnitudes of the + corresponding frequencies. + + :func:`angle_spectrum` + :func:`angle_spectrum` returns the wrapped version of this + function. + + :func:`specgram` + :func:`specgram` can return the phase spectrum of segments + within the signal. + """ + return _single_spectrum_helper(x=x, Fs=Fs, window=window, pad_to=pad_to, + sides=sides, mode='phase') + + @docstring.dedent_interpd def specgram(x, NFFT=256, Fs=2, detrend=detrend_none, window=window_hanning, - noverlap=128, pad_to=None, sides='default', scale_by_freq=None): + noverlap=128, pad_to=None, sides='default', scale_by_freq=None, + mode='default'): """ - Compute a spectrogram of data in *x*. Data are split into *NFFT* - length segments and the PSD of each section is computed. The - windowing function *window* is applied to each segment, and the - amount of overlap of each segment is specified with *noverlap*. + Compute a spectrogram. + + Call signature:: + + specgram(x, NFFT=256, Fs=2,detrend=mlab.detrend_none, + window=mlab.window_hanning, noverlap=128, + cmap=None, xextent=None, pad_to=None, sides='default', + scale_by_freq=None, mode='default') + + Compute and plot a spectrogram of data in *x*. Data are split into + *NFFT* length segments and the spectrum of each section is + computed. The windowing function *window* is applied to each + segment, and the amount of overlap of each segment is + specified with *noverlap*. + + *x*: 1-D array or sequence + Array or sequence containing the data - If *x* is real (i.e. non-complex) only the spectrum of the positive - frequencie is returned. If *x* is complex then the complete - spectrum is returned. + %(Spectral)s %(PSD)s + *mode*: [ 'default' | 'density' | 'complex' | 'magnitude' + 'angle' | 'phase' ] + What sort of spectrum to use. Default is 'density'. which takes + the power spectral density. 'complex' returns the complex-valued + frequency spectrum. 'magnitude' returns the magnitude spectrum. + 'angle' returns the phase spectrum without unwrapping. 'phase' + returns the phase spectrum with unwrapping. + *noverlap*: integer The number of points of overlap between blocks. The default value is 128. - Returns a tuple (*Pxx*, *freqs*, *t*): + Returns the tuple (*spectrum*, *freqs*, *t*): + + *spectrum*: 2-D array + columns are the periodograms of successive segments + + *freqs*: 1-D array + The frequencies corresponding to the rows in *spectrum* - - *Pxx*: 2-D array, columns are the periodograms of - successive segments + *t*: 1-D array + The times corresponding to midpoints of segments (i.e the columns + in *spectrum*). - - *freqs*: 1-D array of frequencies corresponding to the rows - in Pxx + .. note:: - - *t*: 1-D array of times corresponding to midpoints of - segments. + *detrend* and *scale_by_freq* only apply when *mode* is set to + 'density' .. seealso:: @@ -468,21 +976,47 @@ def specgram(x, NFFT=256, Fs=2, detrend=detrend_none, window=window_hanning, :func:`psd` differs in the default overlap; in returning the mean of the segment periodograms; and in not returning times. + + :func:`complex_spectrum` + A single spectrum, similar to having a single segment when + *mode* is 'complex'. + + :func:`magnitude_spectrum` + A single spectrum, similar to having a single segment when + *mode* is 'magnitude'. + + :func:`angle_spectrum` + A single spectrum, similar to having a single segment when + *mode* is 'angle'. + + :func:`phase_spectrum` + A single spectrum, similar to having a single segment when + *mode* is 'phase'. """ - assert(NFFT > noverlap) + if NFFT is None: + NFFT = 256 + + spec, freqs, t = _spectral_helper(x=x, y=None, NFFT=NFFT, Fs=Fs, + detrend=detrend, window=window, + noverlap=noverlap, pad_to=pad_to, + sides=sides, + scale_by_freq=scale_by_freq, + mode=mode) - Pxx, freqs, t = _spectral_helper(x, x, NFFT, Fs, detrend, window, - noverlap, pad_to, sides, scale_by_freq) - Pxx = Pxx.real #Needed since helper implements generically + if mode != 'complex': + spec = spec.real # Needed since helper implements generically + + return spec, freqs, t - return Pxx, freqs, t _coh_error = """Coherence is calculated by averaging over *NFFT* length segments. Your signal is too short for your choice of *NFFT*. """ + + @docstring.dedent_interpd def cohere(x, y, NFFT=256, Fs=2, detrend=detrend_none, window=window_hanning, - noverlap=0, pad_to=None, sides='default', scale_by_freq=None): + noverlap=0, pad_to=None, sides='default', scale_by_freq=None): """ The coherence between *x* and *y*. Coherence is the normalized cross spectral density: @@ -494,6 +1028,8 @@ def cohere(x, y, NFFT=256, Fs=2, detrend=detrend_none, window=window_hanning, *x*, *y* Array or sequence containing the data + %(Spectral)s + %(PSD)s *noverlap*: integer @@ -512,14 +1048,14 @@ def cohere(x, y, NFFT=256, Fs=2, detrend=detrend_none, window=window_hanning, :math:`P_{xy}`, :math:`P_{xx}` and :math:`P_{yy}`. """ - if len(x)<2*NFFT: + if len(x) < 2 * NFFT: raise ValueError(_coh_error) Pxx, f = psd(x, NFFT, Fs, detrend, window, noverlap, pad_to, sides, - scale_by_freq) + scale_by_freq) Pyy, f = psd(y, NFFT, Fs, detrend, window, noverlap, pad_to, sides, - scale_by_freq) + scale_by_freq) Pxy, f = csd(x, y, NFFT, Fs, detrend, window, noverlap, pad_to, sides, - scale_by_freq) + scale_by_freq) Cxy = np.divide(np.absolute(Pxy)**2, Pxx*Pyy) Cxy.shape = (len(f),) @@ -529,6 +1065,7 @@ def cohere(x, y, NFFT=256, Fs=2, detrend=detrend_none, window=window_hanning, def donothing_callback(*args): pass + def cohere_pairs( X, ij, NFFT=256, Fs=2, detrend=detrend_none, window=window_hanning, noverlap=0, preferSpeedOverMemory=True, From de1c8ae97602ef089663e020eeccab113d53b8b5 Mon Sep 17 00:00:00 2001 From: Todd Jennings Date: Sun, 6 Oct 2013 10:15:41 +0200 Subject: [PATCH 2/9] add mlab tests for new spectrum types, window and detrend functions, and greatly expand existing tests --- lib/matplotlib/tests/test_mlab.py | 904 ++++++++++++++++++++++++++---- 1 file changed, 798 insertions(+), 106 deletions(-) diff --git a/lib/matplotlib/tests/test_mlab.py b/lib/matplotlib/tests/test_mlab.py index 88f52fcabd2c..ac4d946159dc 100644 --- a/lib/matplotlib/tests/test_mlab.py +++ b/lib/matplotlib/tests/test_mlab.py @@ -10,14 +10,16 @@ import tempfile import unittest +from numpy.testing import assert_allclose, assert_array_equal -class general_test(unittest.TestCase): + +class general_testcase(unittest.TestCase): def test_colinear_pca(self): a = mlab.PCA._get_colinear() pca = mlab.PCA(a) - np.testing.assert_allclose(pca.fracs[2:], 0., atol=1e-8) - np.testing.assert_allclose(pca.Y[:, 2:], 0., atol=1e-8) + assert_allclose(pca.fracs[2:], 0., atol=1e-8) + assert_allclose(pca.Y[:, 2:], 0., atol=1e-8) def test_prctile(self): # test odd lengths @@ -36,12 +38,12 @@ def test_prctile(self): # test vectorized actual = mlab.prctile(ob1, p) - np.testing.assert_allclose(expected, actual) + assert_allclose(expected, actual) # test scalar for pi, expectedi in zip(p, expected): actuali = mlab.prctile(ob1, pi) - np.testing.assert_allclose(expectedi, actuali) + assert_allclose(expectedi, actuali) class csv_testcase(unittest.TestCase): @@ -70,9 +72,9 @@ def test_recarray_csv_roundtrip(self): self.fd.seek(0) actual = mlab.csv2rec(self.fd) - np.testing.assert_allclose(expected['x'], actual['x']) - np.testing.assert_allclose(expected['y'], actual['y']) - np.testing.assert_allclose(expected['t'], actual['t']) + assert_allclose(expected['x'], actual['x']) + assert_allclose(expected['y'], actual['y']) + assert_allclose(expected['t'], actual['t']) def test_rec2csv_bad_shape_ValueError(self): bad = np.recarray((99, 4), [(str('x'), np.float), @@ -82,115 +84,805 @@ def test_rec2csv_bad_shape_ValueError(self): self.assertRaises(ValueError, mlab.rec2csv, bad, self.fd) +class window_testcase(unittest.TestCase): + '''Check window-related functions''' + def setUp(self): + '''shared set-up code for window tests''' + np.random.seed(0) + self.n = 100000 + self.x = np.arange(0., self.n) + + self.sig_rand = np.random.standard_normal(self.n) + 100. + self.sig_ones = np.ones_like(self.x) + self.sig_slope = np.linspace(-10., 90., self.n) + + def test_window_none(self): + '''test mlab.window_none''' + res_rand = mlab.window_none(self.sig_rand) + res_ones = mlab.window_none(self.sig_ones) + + assert_array_equal(res_rand, self.sig_rand) + assert_array_equal(res_ones, self.sig_ones) + + def test_window_hanning(self): + '''test mlab.window_hanning''' + targ_rand = np.hanning(len(self.sig_rand)) * self.sig_rand + res_rand = mlab.window_hanning(self.sig_rand) + + targ_ones = np.hanning(len(self.sig_ones)) + res_ones = mlab.window_hanning(self.sig_ones) + + assert_allclose(targ_rand, res_rand, atol=1e-06) + assert_allclose(targ_ones, res_ones, atol=1e-06) + + +class detrend_testcase(unittest.TestCase): + '''Check detrend-related functions''' + def setUp(self): + '''shared set-up code for detrend tests''' + np.random.seed(0) + n = 100000 + x = np.arange(0., n) + + self.sig_zeros = np.zeros(n) + + self.sig_off = self.sig_zeros + 100. + self.sig_slope = np.linspace(-10., 90., n) + + self.sig_slope_mean = np.linspace(-50, 50, n) + + self.sig_rand = np.random.standard_normal(n) + self.sig_sin = np.sin(x*2*np.pi/(n/100)) + + self.sig_rand -= self.sig_rand.mean() + self.sig_sin -= self.sig_sin.mean() + + self.sig_slope_off = self.sig_slope + self.sig_off + self.sig_sin_rand = self.sig_sin + self.sig_rand + + self.sig_rand_off = self.sig_rand + self.sig_off + self.sig_sin_off = self.sig_sin + self.sig_off + self.sig_sin_rand_off = self.sig_sin_rand + self.sig_off + + self.sig_rand_slope = self.sig_rand + self.sig_slope + self.sig_sin_slope = self.sig_sin + self.sig_slope + self.sig_sin_rand_slope = self.sig_sin_rand + self.sig_slope + + self.sig_rand_slope_mean = self.sig_rand + self.sig_slope_mean + self.sig_sin_slope_mean = self.sig_sin + self.sig_slope_mean + self.sig_sin_rand_slope_mean = self.sig_sin_rand + self.sig_slope_mean + + self.sig_rand_slope_off = self.sig_rand + self.sig_slope_off + self.sig_sin_slope_off = self.sig_sin + self.sig_slope_off + self.sig_sin_rand_slope_off = self.sig_sin_rand + self.sig_slope_off + + def test_detrend_none(self): + '''test mlab.detrend_none''' + res_off = mlab.detrend_none(self.sig_off) + res_slope = mlab.detrend_none(self.sig_slope) + + res_rand = mlab.detrend_none(self.sig_rand) + res_sin = mlab.detrend_none(self.sig_sin) + + res_slope_off = mlab.detrend_none(self.sig_slope_off) + res_sin_rand = mlab.detrend_none(self.sig_sin_rand) + + res_rand_off = mlab.detrend_none(self.sig_rand_off) + res_sin_off = mlab.detrend_none(self.sig_sin_off) + res_sin_rand_off = mlab.detrend_none(self.sig_sin_rand_off) + + res_rand_slope = mlab.detrend_none(self.sig_rand_slope) + res_sin_slope = mlab.detrend_none(self.sig_sin_slope) + res_sin_rand_slope = mlab.detrend_none(self.sig_sin_rand_slope) + + res_rand_slope_off = mlab.detrend_none(self.sig_rand_slope_off) + res_sin_slope_off = mlab.detrend_none(self.sig_sin_slope_off) + res_sin_rand_slope_off = mlab.detrend_none(self.sig_sin_rand_slope_off) + + assert_array_equal(res_off, self.sig_off) + assert_array_equal(res_slope, self.sig_slope) + + assert_array_equal(res_rand, self.sig_rand) + assert_array_equal(res_sin, self.sig_sin) + + assert_array_equal(res_slope_off, self.sig_slope_off) + assert_array_equal(res_sin_rand, self.sig_sin_rand) + + assert_array_equal(res_rand_off, self.sig_rand_off) + assert_array_equal(res_sin_off, self.sig_sin_off) + assert_array_equal(res_sin_rand_off, self.sig_sin_rand_off) + + assert_array_equal(res_rand_slope, self.sig_rand_slope) + assert_array_equal(res_sin_slope, self.sig_sin_slope) + assert_array_equal(res_sin_rand_slope, self.sig_sin_rand_slope) + + assert_array_equal(res_rand_slope_off, self.sig_rand_slope_off) + assert_array_equal(res_sin_slope_off, self.sig_sin_slope_off) + assert_array_equal(res_sin_rand_slope_off, self.sig_sin_rand_slope_off) + + def test_detrend_mean(self): + '''test mlab.detrend_none''' + res_off = mlab.detrend_mean(self.sig_off) + res_slope = mlab.detrend_mean(self.sig_slope) + + res_rand = mlab.detrend_mean(self.sig_rand) + res_sin = mlab.detrend_mean(self.sig_sin) + + res_slope_off = mlab.detrend_mean(self.sig_slope_off) + res_sin_rand = mlab.detrend_mean(self.sig_sin_rand) + + res_rand_off = mlab.detrend_mean(self.sig_rand_off) + res_sin_off = mlab.detrend_mean(self.sig_sin_off) + res_sin_rand_off = mlab.detrend_mean(self.sig_sin_rand_off) + + res_rand_slope = mlab.detrend_mean(self.sig_rand_slope) + res_sin_slope = mlab.detrend_mean(self.sig_sin_slope) + res_sin_rand_slope = mlab.detrend_mean(self.sig_sin_rand_slope) + + res_rand_slope_off = mlab.detrend_mean(self.sig_rand_slope_off) + res_sin_slope_off = mlab.detrend_mean(self.sig_sin_slope_off) + res_sin_rand_slope_off = mlab.detrend_mean(self.sig_sin_rand_slope_off) + + assert_allclose(res_off, self.sig_zeros, atol=1e-06) + assert_allclose(res_slope, self.sig_slope_mean, atol=1e-06) + + assert_allclose(res_rand, self.sig_rand, atol=1e-06) + assert_allclose(res_sin, self.sig_sin, atol=1e-06) + + assert_allclose(res_slope_off, self.sig_slope_mean, atol=1e-06) + assert_allclose(res_sin_rand, self.sig_sin_rand, atol=1e-06) + + assert_allclose(res_rand_off, self.sig_rand, atol=1e-06) + assert_allclose(res_sin_off, self.sig_sin, atol=1e-06) + assert_allclose(res_sin_rand_off, self.sig_sin_rand, atol=1e-06) + + assert_allclose(res_rand_slope, self.sig_rand_slope_mean, atol=1e-06) + assert_allclose(res_sin_slope, self.sig_sin_slope_mean, atol=1e-06) + assert_allclose(res_sin_rand_slope, self.sig_sin_rand_slope_mean, + atol=1e-08) + + assert_allclose(res_rand_slope_off, self.sig_rand_slope_mean, + atol=1e-08) + assert_allclose(res_sin_slope_off, self.sig_sin_slope_mean, atol=1e-06) + assert_allclose(res_sin_rand_slope_off, self.sig_sin_rand_slope_mean, + atol=1e-08) + + def test_detrend_linear(self): + '''test mlab.detrend_none''' + res_off = mlab.detrend_linear(self.sig_off) + res_slope = mlab.detrend_linear(self.sig_slope) + + res_slope_off = mlab.detrend_linear(self.sig_slope_off) + + assert_allclose(res_off, self.sig_zeros, atol=1e-06) + assert_allclose(res_slope, self.sig_zeros, atol=1e-06) + + assert_allclose(res_slope_off, self.sig_zeros, atol=1e-06) + + class spectral_testcase(unittest.TestCase): + '''Check spectrum-related functions''' def setUp(self): + '''shared set-up code for spectral tests''' self.Fs = 100. - self.fstims = [self.Fs/4, self.Fs/5, self.Fs/10] + fstims = [self.Fs/4, self.Fs/5, self.Fs/10] + x = np.arange(0, 10000, 1/self.Fs) - self.x = np.arange(0, 10000, 1/self.Fs) - self.NFFT = 1000*int(1/min(self.fstims) * self.Fs) - self.noverlap = int(self.NFFT/2) + self.NFFT = 1000*int(1/min(fstims) * self.Fs) + self.nover = int(self.NFFT/2) self.pad_to = int(2**np.ceil(np.log2(self.NFFT))) - self.freqss = np.linspace(0, self.Fs/2, num=self.pad_to//2+1) - self.freqsd = np.linspace(-self.Fs/2, self.Fs/2, num=self.pad_to, - endpoint=False) - - self.t = self.x[self.NFFT//2::self.NFFT-self.noverlap] - - self.y = [np.zeros(self.x.size)] - for i, fstim in enumerate(self.fstims): - self.y.append(np.sin(fstim * self.x * np.pi * 2)) - self.y.append(np.sum(self.y, axis=0)) + # frequencies for specgram, psd, and csd + freqss = np.linspace(0, self.Fs/2, num=self.pad_to//2+1) + freqsd = np.linspace(-self.Fs/2, self.Fs/2, num=self.pad_to, + endpoint=False) + + # frequencies for complex, magnitude, angle, and phase spectrums + freqssigs = np.linspace(0, self.Fs/2, num=len(x)//2+1) + freqssigd = np.linspace(-self.Fs/2, self.Fs/2, num=len(x), + endpoint=False) + + # frequencies for complex, magnitude, angle, and phase spectrums + freqs2xs = np.linspace(0, self.Fs/2, num=(2 * len(x))//2+1) + freqs2xd = np.linspace(-self.Fs/2, self.Fs/2, num=2 * len(x), + endpoint=False) + + # frequencies for complex, magnitude, angle, and phase spectrums + freqshalfs = np.linspace(0, self.Fs/2, num=(len(x)//2)//2+1) + freqshalfd = np.linspace(-self.Fs/2, self.Fs/2, num=len(x)//2, + endpoint=False) + + # frequencies for specgram, psd, and csd when NFFT and pad_to is None + freqsnones = np.linspace(0, self.Fs/2, num=256//2+1) + freqsnoned = np.linspace(-self.Fs/2, self.Fs/2, num=256, + endpoint=False) + + # time points for specgram + self.t = x[self.NFFT//2::self.NFFT-self.nover] + self.tnone = x[256//2::256-0] + + # actual signals + ytemp = np.zeros_like(x) + yreal = [ytemp] + ycomp = [ytemp.astype('complex')] + for i, fstim in enumerate(fstims): + ytemp = np.sin(fstim * x * np.pi * 2) * 10**i + yreal.append(ytemp) + ycomp.append(ytemp.astype('complex')) + yreal.append(np.sum(yreal, axis=0)) + ycomp.append(np.sum(ycomp, axis=0)) + self.y = [yreal, ycomp] # get the list of frequencies in each test - self.fstimsall = [[]] + [[f] for f in self.fstims] + [self.fstims] + self.fstimsall = [[]] + [[f] for f in fstims] + [fstims] + + # figure out which freqs correspond to which sides value + self.sides = ['default', 'onesided', 'twosided'] * 2 + + freqsreal = [freqss, freqss, freqsd] + freqscomplex = [freqsd, freqss, freqsd] + self.freqs = [freqsreal, freqscomplex] + + freqssigreal = [freqssigs, freqssigs, freqssigd] + freqssigcomplex = [freqssigd, freqssigs, freqssigd] + self.freqssig = [freqssigreal, freqssigcomplex] + + freqs2xreal = [freqs2xs, freqs2xs, freqs2xd] + freqs2xcomplex = [freqs2xd, freqs2xs, freqs2xd] + self.freqs2x = [freqs2xreal, freqs2xcomplex] + + freqshalfreal = [freqshalfs, freqshalfs, freqshalfd] + freqshalfcomplex = [freqshalfd, freqshalfs, freqshalfd] + self.freqshalf = [freqshalfreal, freqshalfcomplex] + + freqsnonereal = [freqsnones, freqsnones, freqsnoned] + freqsnonecomplex = [freqsnoned, freqsnones, freqsnoned] + self.freqsnone = [freqsnonereal, freqsnonecomplex] + + def check_freqs(self, vals, freqs, resfreqs, fstims): + '''Check the frequency values''' + assert_allclose(resfreqs, freqs, atol=1e-06) + for fstim in fstims: + i = np.abs(resfreqs - fstim).argmin() + self.assertTrue(vals[i] > vals[i+1]) + self.assertTrue(vals[i] > vals[i-1]) + + def check_maxfreq(self, spec, fsp, fstims): + '''Check that the peaks are correct''' + # skip the test if there are no frequencies + if len(fstims) == 0: + return + + # if twosided, do the test for each side + if fsp.min() < 0: + fspa = np.abs(fsp) + zeroind = fspa.argmin() + self.check_maxfreq(spec[:zeroind], fspa[:zeroind], fstims) + self.check_maxfreq(spec[zeroind:], fspa[zeroind:], fstims) + return + + fstimst = fstims[:] + spect = spec.copy() + + # go through each peak and make sure it is correctly the maximum peak + while fstimst: + maxind = spect.argmax() + maxfreq = fsp[maxind] + self.assertAlmostEqual(maxfreq, fstimst[-1]) + del fstimst[-1] + spect[maxind-50:maxind+50] = 0 + + def test_spectral_helper_errors(self): + '''test to make sure mlab._spectral_helper fails properly''' + y = self.y[0][0] + + # test that mode 'complex' cannot be used if x is not y + with self.assertRaises(ValueError): + spec, fsp, t = mlab._spectral_helper(x=y, y=y+1, mode='complex') + + # test that mode 'magnitude' cannot be used if x is not y + with self.assertRaises(ValueError): + spec, fsp, t = mlab._spectral_helper(x=y, y=y+1, mode='magnitude') + + # test that mode 'angle' cannot be used if x is not y + with self.assertRaises(ValueError): + spec, fsp, t = mlab._spectral_helper(x=y, y=y+1, mode='angle') + + # test that mode 'phase' cannot be used if x is not y + with self.assertRaises(ValueError): + spec, fsp, t = mlab._spectral_helper(x=y, y=y+1, mode='phase') + + # test that unknown value for mode cannot be used + with self.assertRaises(ValueError): + spec, fsp, t = mlab._spectral_helper(x=y, mode='spam') + + # test that unknown value for sides cannot be used + with self.assertRaises(ValueError): + spec, fsp, t = mlab._spectral_helper(x=y, y=y, sides='eggs') + + # test that noverlap cannot be larger than NFFT + with self.assertRaises(ValueError): + spec, fsp, t = mlab._spectral_helper(x=y, y=y, NFFT=10, + noverlap=20) + + # test that noverlap cannot be equal to NFFT + with self.assertRaises(ValueError): + spec, fsp, t = mlab._spectral_helper(x=y, NFFT=10, noverlap=10) + + # test that the window length cannot be different from NFFT + with self.assertRaises(ValueError): + spec, fsp, t = mlab._spectral_helper(x=y, y=y, NFFT=10, + window=np.ones(9)) + + # test that NFFT cannot be odd + with self.assertRaises(ValueError): + spec, fsp, t = mlab._spectral_helper(x=y, NFFT=11) + + # test that mode 'default' cannot be used with _single_spectrum_helper + with self.assertRaises(ValueError): + spec, fsp, t = mlab._single_spectrum_helper(x=y, mode='default') + + # test that mode 'density' cannot be used with _single_spectrum_helper + with self.assertRaises(ValueError): + spec, fsp, t = mlab._single_spectrum_helper(x=y, mode='density') + + def test_spectral_helper_density(self): + '''test mlab._spectral_helper in density mode''' + for ys, freqss in zip(self.y, self.freqs): + for y, fstims in zip(ys, self.fstimsall): + for side, freqs in zip(self.sides, freqss): + spec, fsp, t = mlab._spectral_helper(x=y, y=y, + NFFT=self.NFFT, + Fs=self.Fs, + noverlap=self.nover, + pad_to=self.pad_to, + sides=side, + mode='density') + self.assertEqual(spec.shape[0], freqs.shape[0]) + self.assertEqual(spec.shape[1], self.t.shape[0]) + + def test_spectral_helper_magnitude_specgram(self): + '''test mlab._spectral_helper in magnitude mode with arguments + used in specgram''' + for ys, freqss in zip(self.y, self.freqs): + for y, fstims in zip(ys, self.fstimsall): + for side, freqs in zip(self.sides, freqss): + spec, fsp, t = mlab._spectral_helper(x=y, y=y, + NFFT=self.NFFT, + Fs=self.Fs, + noverlap=self.nover, + pad_to=self.pad_to, + sides=side, + mode='magnitude') + self.assertEqual(spec.shape[0], freqs.shape[0]) + self.assertEqual(spec.shape[1], self.t.shape[0]) + + def test_spectral_helper_magnitude_magnitude_spectrum(self): + '''test mlab._spectral_helper in magnitude mode with arguments + used in magnitude_spectrum''' + for ys, freqss in zip(self.y, self.freqssig): + for y, fstims in zip(ys, self.fstimsall): + for side, freqs in zip(self.sides, freqss): + spec, fsp, t = mlab._spectral_helper(x=y, y=y, + NFFT=len(y), + Fs=self.Fs, + noverlap=0, + pad_to=len(y), + sides=side, + mode='magnitude') + self.assertEqual(spec.shape[0], freqs.shape[0]) + self.assertEqual(spec.shape[1], 1) + + def test_csd(self): + '''test mlab.csd''' + for ys, freqss in zip(self.y, self.freqs): + for y, fstims in zip(ys, self.fstimsall): + for side, freqs in zip(self.sides, freqss): + spec, fsp = mlab.csd(y, y+1, NFFT=self.NFFT, + Fs=self.Fs, + noverlap=self.nover, + pad_to=self.pad_to, + sides=side) + self.assertEqual(spec.shape, freqs.shape) + assert_allclose(fsp, freqs, atol=1e-06) + + def test_csd_nones(self): + '''test mlab.csd when NFFT and pad_to are None''' + for ys, freqss in zip(self.y, self.freqsnone): + for y, fstims in zip(ys, self.fstimsall): + for side, freqs in zip(self.sides, freqss): + spec, fsp = mlab.csd(y, y+1, NFFT=None, + Fs=self.Fs, + noverlap=0, + pad_to=None, + sides=side) + self.assertEqual(spec.shape, freqs.shape) + assert_allclose(fsp, freqs, atol=1e-06) + + def test_csd_longer(self): + '''test mlab.csd with NFFT longer than len(y)''' + for ys, freqss in zip(self.y, self.freqsnone): + for y, fstims in zip(ys, self.fstimsall): + for side, freqs in zip(self.sides, freqss): + spec, fsp = mlab.csd(y[:250], y[:250]+1, NFFT=None, + Fs=self.Fs, + noverlap=0, + pad_to=None, + sides=side) + self.assertEqual(spec.shape, freqs.shape) + assert_allclose(fsp, freqs, atol=1e-06) def test_psd(self): - for y, fstims in zip(self.y, self.fstimsall): - Pxx1, freqs1 = mlab.psd(y, NFFT=self.NFFT, - Fs=self.Fs, - noverlap=self.noverlap, - pad_to=self.pad_to, - sides='default') - np.testing.assert_array_equal(freqs1, self.freqss) - for fstim in fstims: - i = np.abs(freqs1 - fstim).argmin() - self.assertTrue(Pxx1[i] > Pxx1[i+1]) - self.assertTrue(Pxx1[i] > Pxx1[i-1]) - - Pxx2, freqs2 = mlab.psd(y, NFFT=self.NFFT, - Fs=self.Fs, - noverlap=self.noverlap, - pad_to=self.pad_to, - sides='onesided') - np.testing.assert_array_equal(freqs2, self.freqss) - for fstim in fstims: - i = np.abs(freqs2 - fstim).argmin() - self.assertTrue(Pxx2[i] > Pxx2[i+1]) - self.assertTrue(Pxx2[i] > Pxx2[i-1]) - - Pxx3, freqs3 = mlab.psd(y, NFFT=self.NFFT, - Fs=self.Fs, - noverlap=self.noverlap, - pad_to=self.pad_to, - sides='twosided') - np.testing.assert_array_equal(freqs3, self.freqsd) - for fstim in fstims: - i = np.abs(freqs3 - fstim).argmin() - self.assertTrue(Pxx3[i] > Pxx3[i+1]) - self.assertTrue(Pxx3[i] > Pxx3[i-1]) - - def test_specgram(self): - for y, fstims in zip(self.y, self.fstimsall): - Pxx1, freqs1, t1 = mlab.specgram(y, NFFT=self.NFFT, - Fs=self.Fs, - noverlap=self.noverlap, - pad_to=self.pad_to, - sides='default') - Pxx1m = np.mean(Pxx1, axis=1) - np.testing.assert_array_equal(freqs1, self.freqss) - np.testing.assert_array_equal(t1, self.t) - # since we are using a single freq, all time slices should be - # about the same - np.testing.assert_allclose(np.diff(Pxx1, axis=1).max(), 0, - atol=1e-08) - for fstim in fstims: - i = np.abs(freqs1 - fstim).argmin() - self.assertTrue(Pxx1m[i] > Pxx1m[i+1]) - self.assertTrue(Pxx1m[i] > Pxx1m[i-1]) - - Pxx2, freqs2, t2 = mlab.specgram(y, NFFT=self.NFFT, - Fs=self.Fs, - noverlap=self.noverlap, - pad_to=self.pad_to, - sides='onesided') - Pxx2m = np.mean(Pxx2, axis=1) - np.testing.assert_array_equal(freqs2, self.freqss) - np.testing.assert_array_equal(t2, self.t) - np.testing.assert_allclose(np.diff(Pxx2, axis=1).max(), 0, - atol=1e-08) - for fstim in fstims: - i = np.abs(freqs2 - fstim).argmin() - self.assertTrue(Pxx2m[i] > Pxx2m[i+1]) - self.assertTrue(Pxx2m[i] > Pxx2m[i-1]) - - Pxx3, freqs3, t3 = mlab.specgram(y, NFFT=self.NFFT, - Fs=self.Fs, - noverlap=self.noverlap, - pad_to=self.pad_to, - sides='twosided') - Pxx3m = np.mean(Pxx3, axis=1) - np.testing.assert_array_equal(freqs3, self.freqsd) - np.testing.assert_array_equal(t3, self.t) - np.testing.assert_allclose(np.diff(Pxx3, axis=1).max(), 0, - atol=1e-08) - for fstim in fstims: - i = np.abs(freqs3 - fstim).argmin() - self.assertTrue(Pxx3m[i] > Pxx3m[i+1]) - self.assertTrue(Pxx3m[i] > Pxx3m[i-1]) + '''test mlab.psd''' + for ys, freqss in zip(self.y, self.freqs): + for y, fstims in zip(ys, self.fstimsall): + for side, freqs in zip(self.sides, freqss): + spec, fsp = mlab.psd(y, NFFT=self.NFFT, + Fs=self.Fs, + noverlap=self.nover, + pad_to=self.pad_to, + sides=side) + self.assertEqual(spec.shape, freqs.shape) + self.check_freqs(spec, freqs, fsp, fstims) + + def test_psd_nones(self): + '''test mlab.psd when NFFT and pad_to are None''' + for ys, freqss in zip(self.y, self.freqsnone): + for y, fstims in zip(ys, self.fstimsall): + for side, freqs in zip(self.sides, freqss): + spec, fsp = mlab.psd(y, NFFT=None, + Fs=self.Fs, + noverlap=0, + pad_to=None, + sides=side) + self.assertEqual(spec.shape, freqs.shape) + self.check_freqs(spec, freqs, fsp, fstims) + + def test_psd_windowarray(self): + '''test mlab.psd when window is an array''' + for ys, freqss in zip(self.y, self.freqs): + for y, fstims in zip(ys, self.fstimsall): + for side, freqs in zip(self.sides, freqss): + spec, fsp = mlab.psd(y, NFFT=self.NFFT, + Fs=self.Fs, + noverlap=self.nover, + pad_to=self.pad_to, + sides=side, + window=np.ones(self.NFFT)) + self.assertEqual(spec.shape, freqs.shape) + self.check_freqs(spec, freqs, fsp, fstims) + + def test_complex_spectrum(self): + '''test mlab.complex_spectrum''' + for ys, freqss in zip(self.y, self.freqssig): + for y, fstims in zip(ys, self.fstimsall): + for side, freqs in zip(self.sides, freqss): + spec, fsp = mlab.complex_spectrum(y, Fs=self.Fs, + sides=side) + self.assertEqual(spec.shape, freqs.shape) + assert_allclose(fsp, freqs, atol=1e-06) + + def test_magnitude_spectrum(self): + '''test mlab.magnitude_spectrum''' + for ys, freqss in zip(self.y, self.freqssig): + for y, fstims in zip(ys, self.fstimsall): + for side, freqs in zip(self.sides, freqss): + spec, fsp = mlab.magnitude_spectrum(y, Fs=self.Fs, + sides=side) + self.assertEqual(spec.shape, freqs.shape) + self.check_freqs(spec, freqs, fsp, fstims) + self.check_maxfreq(spec, fsp, fstims) + + def test_magnitude_spectrum_double(self): + '''test mlab.magnitude_spectrum with pad_to twice default''' + for ys, freqss in zip(self.y, self.freqs2x): + for y, fstims in zip(ys, self.fstimsall): + for side, freqs in zip(self.sides, freqss): + spec, fsp = mlab.magnitude_spectrum(y, Fs=self.Fs, + sides=side, + pad_to=len(y) * 2) + self.assertEqual(spec.shape, freqs.shape) + self.check_freqs(spec, freqs, fsp, fstims) + self.check_maxfreq(spec, fsp, fstims) + + def test_magnitude_spectrum_half(self): + '''test mlab.magnitude_spectrum with pad_to half default''' + for ys, freqss in zip(self.y, self.freqshalf): + for y, fstims in zip(ys, self.fstimsall): + for side, freqs in zip(self.sides, freqss): + spec, fsp = mlab.magnitude_spectrum(y, Fs=self.Fs, + sides=side, + pad_to=len(y) // 2) + self.assertEqual(spec.shape, freqs.shape) + self.check_freqs(spec, freqs, fsp, fstims) + self.check_maxfreq(spec, fsp, fstims) + + def test_angle_spectrum(self): + '''test mlab.angle_spectrum''' + for ys, freqss in zip(self.y, self.freqssig): + for y, fstims in zip(ys, self.fstimsall): + for side, freqs in zip(self.sides, freqss): + spec, fsp = mlab.angle_spectrum(y, Fs=self.Fs, + sides=side) + self.assertEqual(spec.shape, freqs.shape) + assert_allclose(fsp, freqs, atol=1e-06) + + def test_phase_spectrum(self): + '''test mlab.phase_spectrum''' + for ys, freqss in zip(self.y, self.freqssig): + for y, fstims in zip(ys, self.fstimsall): + for side, freqs in zip(self.sides, freqss): + spec, fsp = mlab.phase_spectrum(y, Fs=self.Fs, + sides=side) + self.assertEqual(spec.shape, freqs.shape) + assert_allclose(fsp, freqs, atol=1e-06) + + def test_specgram_auto(self): + '''test mlab.specgram with no specified mode''' + for ys, freqss in zip(self.y, self.freqs): + for y, fstims in zip(ys, self.fstimsall): + for side, freqs in zip(self.sides, freqss): + spec, fsp, t = mlab.specgram(y, NFFT=self.NFFT, + Fs=self.Fs, + noverlap=self.nover, + pad_to=self.pad_to, + sides=side) + specm = np.mean(spec, axis=1) + self.assertEqual(spec.shape[0], freqs.shape[0]) + self.assertEqual(spec.shape[1], self.t.shape[0]) + + assert_array_equal(fsp, freqs) + assert_array_equal(t, self.t) + # since we are using a single freq, all time slices + # should be about the same + assert_allclose(np.diff(spec, axis=1).max(), 0, atol=1e-05) + self.check_freqs(specm, freqs, fsp, fstims) + + def test_specgram_default(self): + '''test mlab.specgram in default mode''' + for ys, freqss in zip(self.y, self.freqs): + for y, fstims in zip(ys, self.fstimsall): + for side, freqs in zip(self.sides, freqss): + spec, fsp, t = mlab.specgram(y, NFFT=self.NFFT, + Fs=self.Fs, + noverlap=self.nover, + pad_to=self.pad_to, + sides=side, + mode='default') + specm = np.mean(spec, axis=1) + self.assertEqual(spec.shape[0], freqs.shape[0]) + self.assertEqual(spec.shape[1], self.t.shape[0]) + + assert_array_equal(fsp, freqs) + assert_array_equal(t, self.t) + # since we are using a single freq, all time slices + # should be about the same + assert_allclose(np.diff(spec, axis=1).max(), 0, atol=1e-04) + self.check_freqs(specm, freqs, fsp, fstims) + + def test_specgram_density(self): + '''test mlab.specgram in density mode''' + for ys, freqss in zip(self.y, self.freqs): + for y, fstims in zip(ys, self.fstimsall): + for side, freqs in zip(self.sides, freqss): + spec, fsp, t = mlab.specgram(y, NFFT=self.NFFT, + Fs=self.Fs, + noverlap=self.nover, + pad_to=self.pad_to, + sides=side, + mode='density') + specm = np.mean(spec, axis=1) + self.assertEqual(spec.shape[0], freqs.shape[0]) + self.assertEqual(spec.shape[1], self.t.shape[0]) + + assert_array_equal(fsp, freqs) + assert_array_equal(t, self.t) + # since we are using a single freq, all time slices + # should be about the same + assert_allclose(np.diff(spec, axis=1).max(), 0, atol=1e-04) + self.check_freqs(specm, freqs, fsp, fstims) + + def test_specgram_density_none(self): + '''test mlab.specgram in density mode with NFFT and pad_to + set to None''' + for ys, freqss in zip(self.y, self.freqsnone): + for y, fstims in zip(ys, self.fstimsall): + for side, freqs in zip(self.sides, freqss): + spec, fsp, t = mlab.specgram(y, NFFT=None, + Fs=self.Fs, + noverlap=0, + pad_to=None, + sides=side, + mode='density') + specm = np.mean(spec, axis=1) + self.assertEqual(spec.shape[0], freqs.shape[0]) + self.assertEqual(spec.shape[1], self.tnone.shape[0]) + + assert_array_equal(fsp, freqs) + assert_array_equal(t, self.tnone) + self.check_freqs(specm, freqs, fsp, fstims) + + def test_specgram_complex(self): + '''test mlab.specgram in complex mode''' + for ys, freqss in zip(self.y, self.freqs): + for y, fstims in zip(ys, self.fstimsall): + for side, freqs in zip(self.sides, freqss): + spec, fsp, t = mlab.specgram(y, NFFT=self.NFFT, + Fs=self.Fs, + noverlap=self.nover, + pad_to=self.pad_to, + sides=side, + mode='complex') + specm = np.mean(np.abs(spec), axis=1) + self.assertEqual(spec.shape[0], freqs.shape[0]) + self.assertEqual(spec.shape[1], self.t.shape[0]) + + assert_array_equal(fsp, freqs) + assert_array_equal(t, self.t) + # since we are using a single freq, all time slices + # should be about the same + specr = spec.real + speci = spec.imag + assert_allclose(np.diff(specr, axis=1).max(), 0, + atol=1e-05) + assert_allclose(np.diff(speci, axis=1).max(), 0, + atol=1e-05) + self.check_freqs(specm, freqs, fsp, fstims) + + def test_specgram_magnitude(self): + '''test mlab.specgram in magnitude mode''' + for ys, freqss in zip(self.y, self.freqs): + for y, fstims in zip([ys[1]], self.fstimsall): + for side, freqs in zip(self.sides, freqss): + spec, fsp, t = mlab.specgram(y, NFFT=self.NFFT, + Fs=self.Fs, + noverlap=self.nover, + pad_to=self.pad_to, + sides=side, + mode='magnitude') + specm = np.mean(spec, axis=1) + self.assertEqual(spec.shape[0], freqs.shape[0]) + self.assertEqual(spec.shape[1], self.t.shape[0]) + + assert_array_equal(fsp, freqs) + assert_array_equal(t, self.t) + # since we are using a single freq, all time slices + # should be about the same + assert_allclose(np.diff(spec, axis=1).max(), 0, atol=1e-06) + self.check_freqs(specm, freqs, fsp, fstims) + + def test_specgram_angle(self): + '''test mlab.specgram in angle mode''' + for ys, freqss in zip(self.y, self.freqs): + for y, fstims in zip(ys, self.fstimsall): + for side, freqs in zip(self.sides, freqss): + spec, fsp, t = mlab.specgram(y, NFFT=self.NFFT, + Fs=self.Fs, + noverlap=self.nover, + pad_to=self.pad_to, + sides=side, + mode='angle') + specm = np.mean(spec, axis=1) + self.assertEqual(spec.shape[0], freqs.shape[0]) + self.assertEqual(spec.shape[1], self.t.shape[0]) + + assert_array_equal(fsp, freqs) + assert_array_equal(t, self.t) + + def test_specgram_phase(self): + '''test mlab.specgram in phase mode''' + for ys, freqss in zip(self.y, self.freqs): + for y, fstims in zip(ys, self.fstimsall): + for side, freqs in zip(self.sides, freqss): + spec, fsp, t = mlab.specgram(y, NFFT=self.NFFT, + Fs=self.Fs, + noverlap=self.nover, + pad_to=self.pad_to, + sides=side, + mode='phase') + specm = np.mean(spec, axis=1) + self.assertEqual(spec.shape[0], freqs.shape[0]) + self.assertEqual(spec.shape[1], self.t.shape[0]) + + assert_array_equal(fsp, freqs) + assert_array_equal(t, self.t) + + def test_psd_csd_equal(self): + '''test that mlab.psd and mlab.csd are the same for x = y''' + for ys in self.y: + for y, fstims in zip(ys, self.fstimsall): + for side in self.sides: + Pxx, freqsxx = mlab.psd(y, NFFT=self.NFFT, + Fs=self.Fs, + noverlap=self.nover, + pad_to=self.pad_to, + sides=side) + Pxy, freqsxy = mlab.csd(y, y, NFFT=self.NFFT, + Fs=self.Fs, + noverlap=self.nover, + pad_to=self.pad_to, + sides=side) + assert_array_equal(Pxx, Pxy) + assert_array_equal(freqsxx, freqsxy) + + def test_specgram_auto_default_density_equal(self): + '''test that mlab.specgram without mode and with mode 'default' and + 'density' are all the same''' + for ys, freqss in zip(self.y, self.freqs): + for y, fstims in zip(ys, self.fstimsall): + for side, freqs in zip(self.sides, freqss): + speca, freqspeca, ta = mlab.specgram(y, NFFT=self.NFFT, + Fs=self.Fs, + noverlap=self.nover, + pad_to=self.pad_to, + sides=side) + specb, freqspecb, tb = mlab.specgram(y, NFFT=self.NFFT, + Fs=self.Fs, + noverlap=self.nover, + pad_to=self.pad_to, + sides=side, + mode='default') + specc, freqspecc, tc = mlab.specgram(y, NFFT=self.NFFT, + Fs=self.Fs, + noverlap=self.nover, + pad_to=self.pad_to, + sides=side, + mode='density') + assert_array_equal(speca, specb) + assert_array_equal(speca, specc) + assert_array_equal(freqspeca, freqspecb) + assert_array_equal(freqspeca, freqspecc) + assert_array_equal(ta, tb) + assert_array_equal(ta, tc) + + def test_specgram_complex_mag_angle_phase_equivalent(self): + '''test that mlab.specgram with modes complex, magnitude, angle, + and phase can be properly converted to one another''' + for ys, freqss in zip(self.y, self.freqs): + for y, fstims in zip(ys, self.fstimsall): + for side, freqs in zip(self.sides, freqss): + specc, freqspecc, tc = mlab.specgram(y, NFFT=self.NFFT, + Fs=self.Fs, + noverlap=self.nover, + pad_to=self.pad_to, + sides=side, + mode='complex') + specm, freqspecm, tm = mlab.specgram(y, NFFT=self.NFFT, + Fs=self.Fs, + noverlap=self.nover, + pad_to=self.pad_to, + sides=side, + mode='magnitude') + speca, freqspeca, ta = mlab.specgram(y, NFFT=self.NFFT, + Fs=self.Fs, + noverlap=self.nover, + pad_to=self.pad_to, + sides=side, + mode='angle') + specp, freqspecp, tp = mlab.specgram(y, NFFT=self.NFFT, + Fs=self.Fs, + noverlap=self.nover, + pad_to=self.pad_to, + sides=side, + mode='phase') + + assert_array_equal(freqspecc, freqspecm) + assert_array_equal(freqspecc, freqspeca) + assert_array_equal(freqspecc, freqspecp) + + assert_array_equal(tc, tm) + assert_array_equal(tc, ta) + assert_array_equal(tc, tp) + + assert_allclose(np.abs(specc), specm, atol=1e-06) + assert_allclose(np.angle(specc), speca, atol=1e-06) + assert_allclose(np.unwrap(np.angle(specc), axis=0), specp, + atol=1e-06) + assert_allclose(np.unwrap(speca, axis=0), specp, + atol=1e-06) if __name__ == '__main__': - unittest.main() + import nose + nose.runmodule(argv=['-s', '--with-doctest'], exit=False) From 6cf4d84c52c73c865470a6dd4a349d92496796c7 Mon Sep 17 00:00:00 2001 From: Todd Jennings Date: Thu, 10 Oct 2013 19:32:51 +0200 Subject: [PATCH 3/9] add CleanupTestCase, a unittest.TestCase with cleanup --- lib/matplotlib/testing/decorators.py | 23 ++++++++++++++++++++++- 1 file changed, 22 insertions(+), 1 deletion(-) diff --git a/lib/matplotlib/testing/decorators.py b/lib/matplotlib/testing/decorators.py index a05c5abe1cdb..655fba1b9987 100644 --- a/lib/matplotlib/testing/decorators.py +++ b/lib/matplotlib/testing/decorators.py @@ -18,6 +18,7 @@ from matplotlib.testing.compare import comparable_formats, compare_images, \ make_test_filename import warnings +import unittest def knownfailureif(fail_condition, msg=None, known_exception_class=None ): """ @@ -58,6 +59,7 @@ def failer(*args, **kwargs): return nose.tools.make_decorator(f)(failer) return known_fail_decorator + class CleanupTest(object): @classmethod def setup_class(cls): @@ -71,11 +73,30 @@ def teardown_class(cls): matplotlib.units.registry.clear() matplotlib.units.registry.update(cls.original_units_registry) - warnings.resetwarnings() #reset any warning filters set in tests + warnings.resetwarnings() # reset any warning filters set in tests def test(self): self._func() + +class CleanupTestCase(unittest.TestCase): + '''A wrapper for unittest.TestCase that includes cleanup operations''' + @classmethod + def setUpClass(cls): + import matplotlib.units + cls.original_units_registry = matplotlib.units.registry.copy() + + @classmethod + def tearDownClass(cls): + plt.close('all') + + matplotlib.tests.setup() + + matplotlib.units.registry.clear() + matplotlib.units.registry.update(cls.original_units_registry) + warnings.resetwarnings() # reset any warning filters set in tests + + def cleanup(func): name = func.__name__ func = staticmethod(func) From 809411c835139f5f6bafb0791b5452ed100e4d8a Mon Sep 17 00:00:00 2001 From: Todd Jennings Date: Sun, 6 Oct 2013 20:35:27 +0200 Subject: [PATCH 4/9] refactor mlab spectrum, window, and detrend functions to improve modularity, testability, and performance --- lib/matplotlib/mlab.py | 536 ++++++++++++++++++++++++++++++++--------- 1 file changed, 417 insertions(+), 119 deletions(-) diff --git a/lib/matplotlib/mlab.py b/lib/matplotlib/mlab.py index 55973866f200..69382be1a1ad 100644 --- a/lib/matplotlib/mlab.py +++ b/lib/matplotlib/mlab.py @@ -75,6 +75,25 @@ :func:`phase_spectrum` Return the phase (unwrapped angle) of the frequency spectrum of a signal +:func:`detrend_mean` +:func:`demean` + Remove the mean from a line. These functions differ in their defaults. + +:func:`detrend_linear` + Remove the best fit line from a line. + +:func:`detrend_none` + Return the original line. + +:func:`stride_windows` + Get all windows in an array in a memory-efficient manner + +:func:`stride_repeat` + Repeat an array in a memory-efficient manner + +:func:`apply_window` + Apply a window along a given axis + record array helper functions ------------------------------- @@ -230,7 +249,65 @@ def window_none(x): return x -def detrend(x, key='mean'): +def apply_window(x, window, axis=0, return_window=None): + ''' + Apply the given window to the given 1D or 2D array along the given axis. + + Call signature:: + + apply_window(x, window, axis=0, return_window=False) + + *x*: 1D or 2D array or sequence + Array or sequence containing the data. + + *winodw*: function or array. + Either a function to generate a window or an array with length + *x*.shape[*axis*] + + *axis*: integer + The axis over which to do the repetition. + Must be 0 or 1. The default is 0 + + *return_window*: bool + If true, also return the 1D values of the window that was applied + ''' + x = np.asarray(x) + + if x.ndim < 1 or x.ndim > 2: + raise ValueError('only 1D or 2D arrays can be used') + if axis+1 > x.ndim: + raise ValueError('axis(=%s) out of bounds' % axis) + + xshape = list(x.shape) + xshapetarg = xshape.pop(axis) + + if cbook.iterable(window): + if len(window) != xshapetarg: + raise ValueError('The len(window) must be the same as the shape ' + 'of x for the chosen axis') + windowVals = window + else: + windowVals = window(np.ones(xshapetarg, dtype=x.dtype)) + + if x.ndim == 1: + if return_window: + return windowVals * x, windowVals + else: + return windowVals * x + + xshapeother = xshape.pop() + + otheraxis = (axis+1) % 2 + + windowValsRep = stride_repeat(windowVals, xshapeother, axis=otheraxis) + + if return_window: + return windowValsRep * x, windowVals + else: + return windowValsRep * x + + +def detrend(x, key=None, axis=None): ''' Return x with its trend removed. @@ -238,12 +315,19 @@ def detrend(x, key='mean'): detrend(x, key='mean') - *key*: [ 'default' | 'constant' | 'mean' | 'linear' | 'none'] + *x*: array or sequence + Array or sequence containing the data. + + *key*: [ 'default' | 'constant' | 'mean' | 'linear' | 'none'] or function Specifies the detrend algorithm to use. 'default' is 'mean', which is the same as :func:`detrend_mean`. 'constant' is the same. 'linear' is the same as :func:`detrend_linear`. 'none' is the same as :func:`detrend_none`. The default is 'mean'. See the corresponding functions for more details regarding the algorithms. + Can also be a function that carries out the detrend operation. + + *axis*: integer + The axis along which to do the detrending. .. seealso:: @@ -257,11 +341,35 @@ def detrend(x, key='mean'): :func:`detrend_none` implements the 'none' algorithm. ''' if key is None or key in ['constant', 'mean', 'default']: - return detrend_mean(x) + return detrend(x, key=detrend_mean, axis=axis) elif key == 'linear': - return detrend_linear(x) + return detrend(x, key=detrend_linear, axis=axis) elif key == 'none': - return detrend_none(x) + return detrend(x, key=detrend_none, axis=axis) + elif cbook.is_string_like(key): + raise ValueError("Unknown value for key %s, must be one of: " + "'default', 'constant', 'mean', " + "'linear', or a function" % key) + + if not callable(key): + raise ValueError("Unknown value for key %s, must be one of: " + "'default', 'constant', 'mean', " + "'linear', or a function" % key) + + x = np.asarray(x) + + if axis is not None and axis+1 > x.ndim: + raise ValueError('axis(=%s) out of bounds' % axis) + + if (axis is None and x.ndim == 0) or (not axis and x.ndim == 1): + return key(x) + + # try to use the 'axis' argument if the function supports it, + # otherwise use apply_along_axis to do it + try: + return key(x, axis=axis) + except TypeError: + return np.apply_along_axis(key, axis=axis, arr=x) def demean(x, axis=0): @@ -272,36 +380,48 @@ def demean(x, axis=0): demean(x, axis=0) + *x*: array or sequence + Array or sequence containing the data + Can have any dimensionality + *axis*: integer The axis along which to take the mean. See numpy.mean for a description of this argument. .. seealso:: + :func:`delinear` + :func:`denone` + :func:`delinear` and :func:`denone` are other detrend algorithms. + :func:`detrend_mean` - This function is the same as as :func:`detrend_mean` when *axis* - is None. + This function is the same as as :func:`detrend_mean` except + for the default *axis*. ''' - x = np.asarray(x) - if axis == 0 or axis is None or x.ndim <= 1: - return x - x.mean(axis) - ind = [slice(None)] * x.ndim - ind[axis] = np.newaxis - return x - x.mean(axis)[ind] + return detrend_mean(x, axis=axis) -def detrend_mean(x): +def detrend_mean(x, axis=None): ''' Return x minus the mean(x). Call signature:: - detrend_mean(x) + detrend_mean(x, axis=None) + + *x*: array or sequence + Array or sequence containing the data + Can have any dimensionality + + *axis*: integer + The axis along which to take the mean. See numpy.mean for a + description of this argument. .. seealso:: :func:`demean` - This function is the same as as :func:`demean` when *axis* is None. + This function is the same as as :func:`demean` except + for the default *axis*. :func:`detrend_linear` :func:`detrend_none` @@ -311,19 +431,45 @@ def detrend_mean(x): :func:`detrend` :func:`detrend` is a wrapper around all the detrend algorithms. ''' - return demean(x, axis=None) + x = np.asarray(x) + + if axis is not None and axis+1 > x.ndim: + raise ValueError('axis(=%s) out of bounds' % axis) + + # short-circuit 0-D array. + if not x.ndim: + return np.array(0., dtype=x.dtype) + + # short-circuit simple operations + if axis == 0 or axis is None or x.ndim <= 1: + return x - x.mean(axis) + + ind = [slice(None)] * x.ndim + ind[axis] = np.newaxis + return x - x.mean(axis)[ind] -def detrend_none(x): +def detrend_none(x, axis=None): ''' Return x: no detrending. Call signature:: - detrend_none(x) + detrend_none(x, axis=None) + + *x*: any object + An object containing the data + + *axis*: integer + This parameter is ignored. + It is included for compatibility with detrend_mean .. seealso:: + :func:`denone` + This function is the same as as :func:`denone` except + for the default *axis*, which has no effect. + :func:`detrend_mean` :func:`detrend_linear` :func:`detrend_mean` and :func:`detrend_linear` are other @@ -337,14 +483,25 @@ def detrend_none(x): def detrend_linear(y): ''' - Return y minus best fit line; 'linear' detrending. + Return x minus best fit line; 'linear' detrending. Call signature:: - detrend_linear(x) + detrend_linear(y) + + *y*: 0-D or 1-D array or sequence + Array or sequence containing the data + + *axis*: integer + The axis along which to take the mean. See numpy.mean for a + description of this argument. .. seealso:: + :func:`delinear` + This function is the same as as :func:`delinear` except + for the default *axis*. + :func:`detrend_mean` :func:`detrend_none` :func:`detrend_mean` and :func:`detrend_none` are other @@ -354,16 +511,139 @@ def detrend_linear(y): :func:`detrend` is a wrapper around all the detrend algorithms. ''' # This is faster than an algorithm based on linalg.lstsq. - x = np.arange(len(y), dtype=np.float_) + y = np.asarray(y) + + if y.ndim > 1: + raise ValueError('y cannot have ndim > 1') + + # short-circuit 0-D array. + if not y.ndim: + return np.array(0., dtype=y.dtype) + + x = np.arange(y.size, dtype=np.float_) + C = np.cov(x, y, bias=1) b = C[0, 1]/C[0, 0] + a = y.mean() - b*x.mean() return y - (b*x + a) -def _spectral_helper(x, y=None, NFFT=256, Fs=2, detrend=detrend_none, - window=window_hanning, noverlap=0, pad_to=None, - sides='default', scale_by_freq=None, mode='default'): +def stride_windows(x, n, noverlap=None, axis=0): + ''' + Get all windows of x with length n as a single array, + using strides to avoid data duplication. + + .. warning:: It is not safe to write to the output array. Multiple + elements may point to the same piece of memory, so modifying one value may + change others. + + Call signature:: + + stride_windows(x, n, noverlap=0) + + *x*: 1D array or sequence + Array or sequence containing the data. + + *n*: integer + The number of data points in each window. + + *noverlap*: integer + The overlap between adjacent windows. + Default is 0 (no overlap) + + *axis*: integer + The axis along which the windows will run. + + Refs: + `stackoverflaw: Rolling window for 1D arrays in Numpy? + `_ + `stackoverflaw: Using strides for an efficient moving average filter + `_ + ''' + if noverlap is None: + noverlap = 0 + + if noverlap >= n: + raise ValueError('noverlap must be less than n') + if n < 1: + raise ValueError('n cannot be less than 1') + + x = np.asarray(x) + + if x.ndim != 1: + raise ValueError('only 1-dimensional arrays can be used') + if n == 1 and noverlap == 0: + if axis == 0: + return x[np.newaxis] + else: + return x[np.newaxis].transpose() + if n > x.size: + raise ValueError('n cannot be greater than the length of x') + + step = n - noverlap + if axis == 0: + shape = (n, (x.shape[-1]-noverlap)//step) + strides = (x.itemsize, step*x.itemsize) + else: + shape = ((x.shape[-1]-noverlap)//step, n) + strides = (step*x.itemsize, x.itemsize) + return np.lib.stride_tricks.as_strided(x, shape=shape, strides=strides) + + +def stride_repeat(x, n, axis=0): + ''' + Repeat the values in an array in a memory-efficient manner. Array x is + stacked vertically n times. + + .. warning:: It is not safe to write to the output array. Multiple + elements may point to the same piece of memory, so modifying one value may + change others. + + Call signature:: + + stride_repeat(x, n, axis=0) + + *x*: 1D array or sequence + Array or sequence containing the data. + + *n*: integer + The number of time to repeat the array. + + *axis*: integer + The axis along which the data will run. + + Refs: + `stackoverflaw: Repeat NumPy array without replicating data? + `_ + ''' + if axis not in [0, 1]: + raise ValueError('axis must be 0 or 1') + x = np.asarray(x) + if x.ndim != 1: + raise ValueError('only 1-dimensional arrays can be used') + + if n == 1: + if axis == 0: + return np.atleast_2d(x) + else: + return np.atleast_2d(x).T + if n < 1: + raise ValueError('n cannot be less than 1') + + if axis == 0: + shape = (n, x.size) + strides = (0, x.itemsize) + else: + shape = (x.size, n) + strides = (x.itemsize, 0) + + return np.lib.stride_tricks.as_strided(x, shape=shape, strides=strides) + + +def _spectral_helper(x, y=None, NFFT=None, Fs=None, detrend_func=None, + window=None, noverlap=None, pad_to=None, + sides=None, scale_by_freq=None, mode=None): ''' This is a helper function that implements the commonality between the psd, csd, spectrogram and complex, magnitude, angle, and phase spectrums. @@ -378,13 +658,28 @@ def _spectral_helper(x, y=None, NFFT=256, Fs=2, detrend=detrend_none, #extra calculations. We return the unaveraged Pxy, freqs, and t. same_data = y is x - if NFFT % 2 != 0: - raise ValueError('NFFT must be even') + if Fs is None: + Fs = 2 + if noverlap is None: + noverlap = 0 + if detrend_func is None: + detrend_func = detrend_none + if window is None: + window = window_hanning + + # if NFFT is set to None use the whole signal + if NFFT is None: + NFFT = 256 if mode is None or mode == 'default': - mode = 'density' - if not same_data and mode != 'density': - raise ValueError("x and y must be equal if mode is not 'density'") + mode = 'psd' + elif mode not in ['psd', 'complex', 'magnitude', 'angle', 'phase']: + raise ValueError("Unknown value for mode %s, must be one of: " + "'default', 'psd', 'complex', " + "'magnitude', 'angle', 'phase'" % mode) + + if not same_data and mode != 'psd': + raise ValueError("x and y must be equal if mode is not 'psd'") #Make sure we're dealing with a numpy array. If y and x were the same #object to start with, keep them that way @@ -392,9 +687,14 @@ def _spectral_helper(x, y=None, NFFT=256, Fs=2, detrend=detrend_none, if not same_data: y = np.asarray(y) - # if NFFT is set to None use the whole signal - if NFFT is None: - NFFT = len(x) + if sides is None or sides == 'default': + if np.iscomplexobj(x): + sides = 'twosided' + else: + sides = 'onesided' + elif sides not in ['onesided', 'twosided']: + raise ValueError("Unknown value for sides %s, must be one of: " + "'default', 'onesided', or 'twosided'" % sides) # zero pad x and y up to NFFT if they are shorter than NFFT if len(x) < NFFT: @@ -410,68 +710,51 @@ def _spectral_helper(x, y=None, NFFT=256, Fs=2, detrend=detrend_none, if pad_to is None: pad_to = NFFT - if mode != 'density': + if mode != 'psd': scale_by_freq = False elif scale_by_freq is None: scale_by_freq = True - if sides == 'default': - if np.iscomplexobj(x): - sides = 'twosided' - else: - sides = 'onesided' - # For real x, ignore the negative frequencies unless told otherwise if sides == 'twosided': numFreqs = pad_to + if pad_to % 2: + freqcenter = (pad_to - 1)//2 + 1 + else: + freqcenter = pad_to//2 scaling_factor = 1. elif sides == 'onesided': - numFreqs = pad_to//2 + 1 + if pad_to % 2: + numFreqs = (pad_to + 1)//2 + else: + numFreqs = pad_to//2 + 1 scaling_factor = 2. - else: - raise ValueError("sides must be one of: 'default', 'onesided', or " - "'twosided'") - - if cbook.iterable(window): - if len(window) != NFFT: - raise ValueError('The len(window) must be the same as NFFT') - windowVals = window - else: - windowVals = window(np.ones((NFFT,), x.dtype)) - - if NFFT <= noverlap: - raise ValueError('NFFT must be larger than noverlap') - step = NFFT - noverlap - ind = np.arange(0, len(x) - NFFT + 1, step) - n = len(ind) - result = np.zeros((numFreqs, n), np.complex_) - - # do the ffts of the slices - for i in range(n): - thisX = x[ind[i]:ind[i]+NFFT] - thisX = windowVals * detrend(thisX) - fx = np.fft.fft(thisX, n=pad_to)[:numFreqs] - if mode == 'density': - if same_data: - fy = fx - else: - thisY = y[ind[i]:ind[i]+NFFT] - thisY = windowVals * detrend(thisY) - fy = np.fft.fft(thisY, n=pad_to)[:numFreqs] - result[:, i] = np.conjugate(fx) * fy - elif mode == 'complex': - result[:, i] = fx - elif mode == 'magnitude': - result[:, i] = np.absolute(fx) - elif mode == 'angle': - result[:, i] = np.angle(fx) - elif mode == 'phase': - result[:, i] = np.unwrap(np.angle(fx)) - else: - raise ValueError('Unknown mode %s' % mode) + result = stride_windows(x, NFFT, noverlap) + result, windowVals = apply_window(result, window, axis=0, + return_window=True) + result = detrend(result, detrend_func, axis=0) + result = np.fft.fft(result, n=pad_to, axis=0)[:numFreqs, :] + freqs = np.fft.fftfreq(pad_to, 1/Fs)[:numFreqs] - if mode == 'density': + if not same_data: + # if same_data is False, mode must be 'psd' + resultY = stride_windows(y, NFFT, noverlap) + resultY = apply_window(resultY, window, axis=0) + resultY = detrend(resultY, detrend_func, axis=0) + resultY = np.fft.fft(resultY, n=pad_to, axis=0)[:numFreqs, :] + result = np.conjugate(result) * resultY + elif mode == 'psd': + result = np.conjugate(result) * result + elif mode == 'magnitude': + result = np.absolute(result) + elif mode == 'angle' or mode == 'phase': + # we unwrap the phase later to handle the onesided vs. twosided case + result = np.angle(result) + elif mode == 'complex': + pass + + if mode == 'psd': # Scale the spectrum by the norm of the window to compensate for # windowing loss; see Bendat & Piersol Sec 11.5.2. result /= (np.abs(windowVals)**2).sum() @@ -487,30 +770,40 @@ def _spectral_helper(x, y=None, NFFT=256, Fs=2, detrend=detrend_none, if scale_by_freq: result /= Fs - t = 1./Fs * (ind + NFFT / 2.) - freqs = float(Fs) / pad_to * np.arange(numFreqs) + t = np.arange(NFFT/2, len(x) - NFFT/2 + 1, NFFT - noverlap)/Fs if sides == 'twosided': # center the frequency range at zero - freqs = np.concatenate((freqs[numFreqs//2:] - Fs, freqs[:numFreqs//2])) - result = np.concatenate((result[numFreqs//2:, :], - result[:numFreqs//2, :]), 0) + freqs = np.concatenate((freqs[freqcenter:], freqs[:freqcenter])) + result = np.concatenate((result[freqcenter:, :], + result[:freqcenter, :]), 0) + elif not pad_to % 2: + # get the last value correctly, it is negative otherwise + freqs[-1] *= -1 + + # we unwrap the phase here to handle the onesided vs. twosided case + if mode == 'phase': + result = np.unwrap(result, axis=0) return result, freqs, t -def _single_spectrum_helper(x, mode, Fs=2, window=window_hanning, pad_to=None, - sides='default'): +def _single_spectrum_helper(x, mode, Fs=None, window=None, pad_to=None, + sides=None): ''' This is a helper function that implements the commonality between the complex, magnitude, angle, and phase spectrums. It is *NOT* meant to be used outside of mlab and may change at any time. ''' - if mode == 'density' or mode == 'default': + if mode is None or mode == 'psd' or mode == 'default': raise ValueError('_single_spectrum_helper does not work with %s mode' % mode) + + if pad_to is None: + pad_to = len(x) + spec, freqs, _ = _spectral_helper(x=x, y=None, NFFT=len(x), Fs=Fs, - detrend=detrend_none, window=window, + detrend_func=detrend_none, window=window, noverlap=0, pad_to=pad_to, sides=sides, scale_by_freq=False, @@ -576,11 +869,12 @@ def _single_spectrum_helper(x, mode, Fs=2, window=window_hanning, pad_to=None, *NFFT*: integer The number of data points used in each block for the FFT. - Must be even; a power 2 is most efficient. The default value is 256. + A power 2 is most efficient. The default value is 256. This should *NOT* be used to get zero padding, or the scaling of the result will be incorrect. Use *pad_to* for this instead. - *detrend*: callable + *detrend*: [ 'default' | 'constant' | 'mean' | 'linear' | 'none'] or + callable The function applied to each segment before fft-ing, designed to remove the mean or linear trend. Unlike in MATLAB, where the *detrend* parameter is a vector, in @@ -588,7 +882,11 @@ def _single_spectrum_helper(x, mode, Fs=2, window=window_hanning, pad_to=None, module defines :func:`~matplotlib.pylab.detrend_none`, :func:`~matplotlib.pylab.detrend_mean`, and :func:`~matplotlib.pylab.detrend_linear`, but you can use - a custom function as well. + a custom function as well. You can also use a string to choose + one of the functions. 'default', 'constant', and 'mean' call + :func:`~matplotlib.pylab.detrend_mean`. 'linear' calls + :func:`~matplotlib.pylab.detrend_linear`. 'none' calls + :func:`~matplotlib.pylab.detrend_none`. *scale_by_freq*: boolean Specifies whether the resulting density values should be scaled @@ -599,8 +897,8 @@ def _single_spectrum_helper(x, mode, Fs=2, window=window_hanning, pad_to=None, @docstring.dedent_interpd -def psd(x, NFFT=256, Fs=2, detrend=detrend_none, window=window_hanning, - noverlap=0, pad_to=None, sides='default', scale_by_freq=None): +def psd(x, NFFT=None, Fs=None, detrend=None, window=None, + noverlap=None, pad_to=None, sides=None, scale_by_freq=None): """ Compute the power spectral density. @@ -663,8 +961,8 @@ def psd(x, NFFT=256, Fs=2, detrend=detrend_none, window=window_hanning, @docstring.dedent_interpd -def csd(x, y, NFFT=256, Fs=2, detrend=detrend_none, window=window_hanning, - noverlap=0, pad_to=None, sides='default', scale_by_freq=None): +def csd(x, y, NFFT=None, Fs=None, detrend=None, window=None, + noverlap=None, pad_to=None, sides=None, scale_by_freq=None): """ Compute the cross-spectral density. @@ -718,10 +1016,10 @@ def csd(x, y, NFFT=256, Fs=2, detrend=detrend_none, window=window_hanning, if NFFT is None: NFFT = 256 Pxy, freqs, _ = _spectral_helper(x=x, y=y, NFFT=NFFT, Fs=Fs, - detrend=detrend, window=window, + detrend_func=detrend, window=window, noverlap=noverlap, pad_to=pad_to, sides=sides, scale_by_freq=scale_by_freq, - mode='density') + mode='psd') if len(Pxy.shape) == 2: if Pxy.shape[1] > 1: @@ -732,8 +1030,8 @@ def csd(x, y, NFFT=256, Fs=2, detrend=detrend_none, window=window_hanning, @docstring.dedent_interpd -def complex_spectrum(x, Fs=2, window=window_hanning, pad_to=None, - sides='default'): +def complex_spectrum(x, Fs=None, window=None, pad_to=None, + sides=None): """ Compute the complex-valued frequency spectrum of *x*. Data is padded to a length of *pad_to* and the windowing function *window* is applied to the @@ -777,8 +1075,8 @@ def complex_spectrum(x, Fs=2, window=window_hanning, pad_to=None, @docstring.dedent_interpd -def magnitude_spectrum(x, Fs=2, window=window_hanning, pad_to=None, - sides='default'): +def magnitude_spectrum(x, Fs=None, window=None, pad_to=None, + sides=None): """ Compute the magnitude (absolute value) of the frequency spectrum of *x*. Data is padded to a length of *pad_to* and the windowing function @@ -825,8 +1123,8 @@ def magnitude_spectrum(x, Fs=2, window=window_hanning, pad_to=None, @docstring.dedent_interpd -def angle_spectrum(x, Fs=2, window=window_hanning, pad_to=None, - sides='default'): +def angle_spectrum(x, Fs=None, window=None, pad_to=None, + sides=None): """ Compute the angle of the frequency spectrum (wrapped phase spectrum) of *x*. Data is padded to a length of *pad_to* and the windowing function @@ -870,8 +1168,8 @@ def angle_spectrum(x, Fs=2, window=window_hanning, pad_to=None, @docstring.dedent_interpd -def phase_spectrum(x, Fs=2, window=window_hanning, pad_to=None, - sides='default'): +def phase_spectrum(x, Fs=None, window=None, pad_to=None, + sides=None): """ Compute the phase of the frequency spectrum (unwrapped angle spectrum) of *x*. Data is padded to a length of *pad_to* and the windowing function @@ -915,9 +1213,9 @@ def phase_spectrum(x, Fs=2, window=window_hanning, pad_to=None, @docstring.dedent_interpd -def specgram(x, NFFT=256, Fs=2, detrend=detrend_none, window=window_hanning, - noverlap=128, pad_to=None, sides='default', scale_by_freq=None, - mode='default'): +def specgram(x, NFFT=None, Fs=None, detrend=None, window=None, + noverlap=None, pad_to=None, sides=None, scale_by_freq=None, + mode=None): """ Compute a spectrogram. @@ -941,10 +1239,10 @@ def specgram(x, NFFT=256, Fs=2, detrend=detrend_none, window=window_hanning, %(PSD)s - *mode*: [ 'default' | 'density' | 'complex' | 'magnitude' + *mode*: [ 'default' | 'psd' | 'complex' | 'magnitude' 'angle' | 'phase' ] - What sort of spectrum to use. Default is 'density'. which takes - the power spectral density. 'complex' returns the complex-valued + What sort of spectrum to use. Default is 'psd'. which takes the + power spectral density. 'complex' returns the complex-valued frequency spectrum. 'magnitude' returns the magnitude spectrum. 'angle' returns the phase spectrum without unwrapping. 'phase' returns the phase spectrum with unwrapping. @@ -968,7 +1266,7 @@ def specgram(x, NFFT=256, Fs=2, detrend=detrend_none, window=window_hanning, .. note:: *detrend* and *scale_by_freq* only apply when *mode* is set to - 'density' + 'psd' .. seealso:: @@ -993,11 +1291,11 @@ def specgram(x, NFFT=256, Fs=2, detrend=detrend_none, window=window_hanning, A single spectrum, similar to having a single segment when *mode* is 'phase'. """ - if NFFT is None: - NFFT = 256 + if noverlap is None: + noverlap = 128 spec, freqs, t = _spectral_helper(x=x, y=None, NFFT=NFFT, Fs=Fs, - detrend=detrend, window=window, + detrend_func=detrend, window=window, noverlap=noverlap, pad_to=pad_to, sides=sides, scale_by_freq=scale_by_freq, From 212e24b3f3a5f68b2eed76daa2281bf8c2d1be94 Mon Sep 17 00:00:00 2001 From: Todd Jennings Date: Wed, 9 Oct 2013 18:52:58 +0200 Subject: [PATCH 5/9] implement tests for refactored mlab spectrum, windowing, and detrend functions, with 100% coverage --- lib/matplotlib/tests/test_mlab.py | 2838 ++++++++++++++++++++++------- 1 file changed, 2159 insertions(+), 679 deletions(-) diff --git a/lib/matplotlib/tests/test_mlab.py b/lib/matplotlib/tests/test_mlab.py index ac4d946159dc..d35210397a91 100644 --- a/lib/matplotlib/tests/test_mlab.py +++ b/lib/matplotlib/tests/test_mlab.py @@ -3,17 +3,21 @@ import six -import sys - import numpy as np import matplotlib.mlab as mlab +import matplotlib.cbook as cbook import tempfile import unittest from numpy.testing import assert_allclose, assert_array_equal +from nose.tools import (assert_equal, assert_almost_equal, assert_not_equal, + assert_true, assert_raises,) + +from matplotlib.testing.decorators import CleanupTestCase -class general_testcase(unittest.TestCase): + +class general_testcase(CleanupTestCase): def test_colinear_pca(self): a = mlab.PCA._get_colinear() pca = mlab.PCA(a) @@ -24,11 +28,11 @@ def test_colinear_pca(self): def test_prctile(self): # test odd lengths x = [1, 2, 3] - self.assertEqual(mlab.prctile(x, 50), np.median(x)) + assert_equal(mlab.prctile(x, 50), np.median(x)) # test even lengths x = [1, 2, 3, 4] - self.assertEqual(mlab.prctile(x, 50), np.median(x)) + assert_equal(mlab.prctile(x, 50), np.median(x)) # derived from email sent by jason-sage to MPL-user on 20090914 ob1 = [1, 1, 2, 2, 1, 2, 4, 3, 2, 2, 2, 3, @@ -45,8 +49,218 @@ def test_prctile(self): actuali = mlab.prctile(ob1, pi) assert_allclose(expectedi, actuali) - -class csv_testcase(unittest.TestCase): + def test_norm(self): + np.random.seed(0) + N = 1000 + x = np.random.standard_normal(N) + targ = np.linalg.norm(x) + res = mlab._norm(x) + assert_almost_equal(targ, res) + + +class spacing_testcase(CleanupTestCase): + def test_logspace_tens(self): + xmin = .01 + xmax = 1000. + N = 6 + res = mlab.logspace(xmin, xmax, N) + targ = np.logspace(np.log10(xmin), np.log10(xmax), N) + assert_allclose(targ, res) + + def test_logspace_primes(self): + xmin = .03 + xmax = 1313. + N = 7 + res = mlab.logspace(xmin, xmax, N) + targ = np.logspace(np.log10(xmin), np.log10(xmax), N) + assert_allclose(targ, res) + + def test_logspace_none(self): + xmin = .03 + xmax = 1313. + N = 0 + res = mlab.logspace(xmin, xmax, N) + targ = np.logspace(np.log10(xmin), np.log10(xmax), N) + assert_array_equal(targ, res) + assert_equal(res.size, 0) + + def test_logspace_single(self): + xmin = .03 + xmax = 1313. + N = 1 + res = mlab.logspace(xmin, xmax, N) + targ = np.logspace(np.log10(xmin), np.log10(xmax), N) + assert_array_equal(targ, res) + assert_equal(res.size, 1) + + +class stride_testcase(CleanupTestCase): + def get_base(self, x): + y = x + while y.base is not None: + y = y.base + return y + + def calc_window_target(self, x, NFFT, noverlap=0): + '''This is an adaptation of the original window extraction + algorithm. This is here to test to make sure the new implementation + has the same result''' + step = NFFT - noverlap + ind = np.arange(0, len(x) - NFFT + 1, step) + n = len(ind) + result = np.zeros((NFFT, n)) + + # do the ffts of the slices + for i in range(n): + result[:, i] = x[ind[i]:ind[i]+NFFT] + return result + + def test_stride_windows_2D_ValueError(self): + x = np.arange(10)[np.newaxis] + assert_raises(ValueError, mlab.stride_windows, x, 5) + + def test_stride_windows_0D_ValueError(self): + x = np.array(0) + assert_raises(ValueError, mlab.stride_windows, x, 5) + + def test_stride_windows_noverlap_gt_n_ValueError(self): + x = np.arange(10) + assert_raises(ValueError, mlab.stride_windows, x, 2, 3) + + def test_stride_windows_noverlap_eq_n_ValueError(self): + x = np.arange(10) + assert_raises(ValueError, mlab.stride_windows, x, 2, 2) + + def test_stride_windows_n_gt_lenx_ValueError(self): + x = np.arange(10) + assert_raises(ValueError, mlab.stride_windows, x, 11) + + def test_stride_windows_n_lt_1_ValueError(self): + x = np.arange(10) + assert_raises(ValueError, mlab.stride_windows, x, 0) + + def test_stride_repeat_2D_ValueError(self): + x = np.arange(10)[np.newaxis] + assert_raises(ValueError, mlab.stride_repeat, x, 5) + + def test_stride_repeat_axis_lt_0_ValueError(self): + x = np.array(0) + assert_raises(ValueError, mlab.stride_repeat, x, 5, axis=-1) + + def test_stride_repeat_axis_gt_1_ValueError(self): + x = np.array(0) + assert_raises(ValueError, mlab.stride_repeat, x, 5, axis=2) + + def test_stride_repeat_n_lt_1_ValueError(self): + x = np.arange(10) + assert_raises(ValueError, mlab.stride_repeat, x, 0) + + def test_stride_repeat_n1_axis0(self): + x = np.arange(10) + y = mlab.stride_repeat(x, 1) + assert_equal((1, ) + x.shape, y.shape) + assert_array_equal(x, y.flat) + assert_true(self.get_base(y) is x) + + def test_stride_repeat_n1_axis1(self): + x = np.arange(10) + y = mlab.stride_repeat(x, 1, axis=1) + assert_equal(x.shape + (1, ), y.shape) + assert_array_equal(x, y.flat) + assert_true(self.get_base(y) is x) + + def test_stride_repeat_n5_axis0(self): + x = np.arange(10) + y = mlab.stride_repeat(x, 5) + yr = np.repeat(x[np.newaxis], 5, axis=0) + assert_equal(yr.shape, y.shape) + assert_array_equal(yr, y) + assert_equal((5, ) + x.shape, y.shape) + assert_true(self.get_base(y) is x) + + def test_stride_repeat_n5_axis1(self): + x = np.arange(10) + y = mlab.stride_repeat(x, 5, axis=1) + yr = np.repeat(x[np.newaxis], 5, axis=0).T + assert_equal(yr.shape, y.shape) + assert_array_equal(yr, y) + assert_equal(x.shape + (5, ), y.shape) + assert_true(self.get_base(y) is x) + + def test_stride_windows_n1_noverlap0_axis0(self): + x = np.arange(10) + y = mlab.stride_windows(x, 1) + yt = self.calc_window_target(x, 1) + assert_equal(yt.shape, y.shape) + assert_array_equal(yt, y) + assert_equal((1, ) + x.shape, y.shape) + assert_true(self.get_base(y) is x) + + def test_stride_windows_n1_noverlap0_axis1(self): + x = np.arange(10) + y = mlab.stride_windows(x, 1, axis=1) + yt = self.calc_window_target(x, 1).T + assert_equal(yt.shape, y.shape) + assert_array_equal(yt, y) + assert_equal(x.shape + (1, ), y.shape) + assert_true(self.get_base(y) is x) + + def test_stride_windows_n5_noverlap0_axis0(self): + x = np.arange(100) + y = mlab.stride_windows(x, 5) + yt = self.calc_window_target(x, 5) + assert_equal(yt.shape, y.shape) + assert_array_equal(yt, y) + assert_equal((5, 20), y.shape) + assert_true(self.get_base(y) is x) + + def test_stride_windows_n5_noverlap0_axis1(self): + x = np.arange(100) + y = mlab.stride_windows(x, 5, axis=1) + yt = self.calc_window_target(x, 5).T + assert_equal(yt.shape, y.shape) + assert_array_equal(yt, y) + assert_equal((20, 5), y.shape) + assert_true(self.get_base(y) is x) + + def test_stride_windows_n15_noverlap2_axis0(self): + x = np.arange(100) + y = mlab.stride_windows(x, 15, 2) + yt = self.calc_window_target(x, 15, 2) + assert_equal(yt.shape, y.shape) + assert_array_equal(yt, y) + assert_equal((15, 7), y.shape) + assert_true(self.get_base(y) is x) + + def test_stride_windows_n15_noverlap2_axis1(self): + x = np.arange(100) + y = mlab.stride_windows(x, 15, 2, axis=1) + yt = self.calc_window_target(x, 15, 2).T + assert_equal(yt.shape, y.shape) + assert_array_equal(yt, y) + assert_equal((7, 15), y.shape) + assert_true(self.get_base(y) is x) + + def test_stride_windows_n13_noverlapn3_axis0(self): + x = np.arange(100) + y = mlab.stride_windows(x, 13, -3) + yt = self.calc_window_target(x, 13, -3) + assert_equal(yt.shape, y.shape) + assert_array_equal(yt, y) + assert_equal((13, 6), y.shape) + assert_true(self.get_base(y) is x) + + def test_stride_windows_n13_noverlapn3_axis1(self): + x = np.arange(100) + y = mlab.stride_windows(x, 13, -3, axis=1) + yt = self.calc_window_target(x, 13, -3).T + assert_equal(yt.shape, y.shape) + assert_array_equal(yt, y) + assert_equal((6, 13), y.shape) + assert_true(self.get_base(y) is x) + + +class csv_testcase(CleanupTestCase): def setUp(self): if six.PY3: self.fd = tempfile.TemporaryFile(suffix='csv', mode="w+", @@ -81,275 +295,1023 @@ def test_rec2csv_bad_shape_ValueError(self): (str('y'), np.float)]) # the bad recarray should trigger a ValueError for having ndim > 1. - self.assertRaises(ValueError, mlab.rec2csv, bad, self.fd) + assert_raises(ValueError, mlab.rec2csv, bad, self.fd) -class window_testcase(unittest.TestCase): - '''Check window-related functions''' +class window_testcase(CleanupTestCase): def setUp(self): - '''shared set-up code for window tests''' np.random.seed(0) - self.n = 100000 + self.n = 1000 self.x = np.arange(0., self.n) self.sig_rand = np.random.standard_normal(self.n) + 100. self.sig_ones = np.ones_like(self.x) self.sig_slope = np.linspace(-10., 90., self.n) - def test_window_none(self): - '''test mlab.window_none''' - res_rand = mlab.window_none(self.sig_rand) - res_ones = mlab.window_none(self.sig_ones) - - assert_array_equal(res_rand, self.sig_rand) - assert_array_equal(res_ones, self.sig_ones) - - def test_window_hanning(self): - '''test mlab.window_hanning''' - targ_rand = np.hanning(len(self.sig_rand)) * self.sig_rand - res_rand = mlab.window_hanning(self.sig_rand) - - targ_ones = np.hanning(len(self.sig_ones)) - res_ones = mlab.window_hanning(self.sig_ones) - - assert_allclose(targ_rand, res_rand, atol=1e-06) - assert_allclose(targ_ones, res_ones, atol=1e-06) - - -class detrend_testcase(unittest.TestCase): - '''Check detrend-related functions''' + def check_window_apply_repeat(self, x, window, NFFT, noverlap): + '''This is an adaptation of the original window application + algorithm. This is here to test to make sure the new implementation + has the same result''' + step = NFFT - noverlap + ind = np.arange(0, len(x) - NFFT + 1, step) + n = len(ind) + result = np.zeros((NFFT, n)) + + if cbook.iterable(window): + windowVals = window + else: + windowVals = window(np.ones((NFFT,), x.dtype)) + + # do the ffts of the slices + for i in range(n): + result[:, i] = windowVals * x[ind[i]:ind[i]+NFFT] + return result + + def test_window_none_rand(self): + res = mlab.window_none(self.sig_ones) + assert_array_equal(res, self.sig_ones) + + def test_window_none_ones(self): + res = mlab.window_none(self.sig_rand) + assert_array_equal(res, self.sig_rand) + + def test_window_hanning_rand(self): + targ = np.hanning(len(self.sig_rand)) * self.sig_rand + res = mlab.window_hanning(self.sig_rand) + + assert_allclose(targ, res, atol=1e-06) + + def test_window_hanning_ones(self): + targ = np.hanning(len(self.sig_ones)) + res = mlab.window_hanning(self.sig_ones) + + assert_allclose(targ, res, atol=1e-06) + + def test_apply_window_1D_axis1_ValueError(self): + x = self.sig_rand + window = mlab.window_hanning + assert_raises(ValueError, mlab.apply_window, x, window, axis=1, + return_window=False) + + def test_apply_window_1D_els_wrongsize_ValueError(self): + x = self.sig_rand + window = mlab.window_hanning(np.ones(x.shape[0]-1)) + assert_raises(ValueError, mlab.apply_window, x, window) + + def test_apply_window_0D_ValueError(self): + x = np.array(0) + window = mlab.window_hanning + assert_raises(ValueError, mlab.apply_window, x, window, axis=1, + return_window=False) + + def test_apply_window_3D_ValueError(self): + x = self.sig_rand[np.newaxis][np.newaxis] + window = mlab.window_hanning + assert_raises(ValueError, mlab.apply_window, x, window, axis=1, + return_window=False) + + def test_apply_window_hanning_1D(self): + x = self.sig_rand + window = mlab.window_hanning + window1 = mlab.window_hanning(np.ones(x.shape[0])) + y, window2 = mlab.apply_window(x, window, return_window=True) + yt = window(x) + assert_equal(yt.shape, y.shape) + assert_equal(x.shape, y.shape) + assert_allclose(yt, y, atol=1e-06) + assert_array_equal(window1, window2) + + def test_apply_window_hanning_1D_axis0(self): + x = self.sig_rand + window = mlab.window_hanning + y = mlab.apply_window(x, window, axis=0, return_window=False) + yt = window(x) + assert_equal(yt.shape, y.shape) + assert_equal(x.shape, y.shape) + assert_allclose(yt, y, atol=1e-06) + + def test_apply_window_hanning_els_1D_axis0(self): + x = self.sig_rand + window = mlab.window_hanning(np.ones(x.shape[0])) + window1 = mlab.window_hanning + y = mlab.apply_window(x, window, axis=0, return_window=False) + yt = window1(x) + assert_equal(yt.shape, y.shape) + assert_equal(x.shape, y.shape) + assert_allclose(yt, y, atol=1e-06) + + def test_apply_window_hanning_2D_axis0(self): + x = np.random.standard_normal([1000, 10]) + 100. + window = mlab.window_hanning + y = mlab.apply_window(x, window, axis=0, return_window=False) + yt = np.zeros_like(x) + for i in range(x.shape[1]): + yt[:, i] = window(x[:, i]) + assert_equal(yt.shape, y.shape) + assert_equal(x.shape, y.shape) + assert_allclose(yt, y, atol=1e-06) + + def test_apply_window_hanning_els1_2D_axis0(self): + x = np.random.standard_normal([1000, 10]) + 100. + window = mlab.window_hanning(np.ones(x.shape[0])) + window1 = mlab.window_hanning + y = mlab.apply_window(x, window, axis=0, return_window=False) + yt = np.zeros_like(x) + for i in range(x.shape[1]): + yt[:, i] = window1(x[:, i]) + assert_equal(yt.shape, y.shape) + assert_equal(x.shape, y.shape) + assert_allclose(yt, y, atol=1e-06) + + def test_apply_window_hanning_els2_2D_axis0(self): + x = np.random.standard_normal([1000, 10]) + 100. + window = mlab.window_hanning + window1 = mlab.window_hanning(np.ones(x.shape[0])) + y, window2 = mlab.apply_window(x, window, axis=0, return_window=True) + yt = np.zeros_like(x) + for i in range(x.shape[1]): + yt[:, i] = window1*x[:, i] + assert_equal(yt.shape, y.shape) + assert_equal(x.shape, y.shape) + assert_allclose(yt, y, atol=1e-06) + assert_array_equal(window1, window2) + + def test_apply_window_hanning_els3_2D_axis0(self): + x = np.random.standard_normal([1000, 10]) + 100. + window = mlab.window_hanning + window1 = mlab.window_hanning(np.ones(x.shape[0])) + y, window2 = mlab.apply_window(x, window, axis=0, return_window=True) + yt = mlab.apply_window(x, window1, axis=0, return_window=False) + assert_equal(yt.shape, y.shape) + assert_equal(x.shape, y.shape) + assert_allclose(yt, y, atol=1e-06) + assert_array_equal(window1, window2) + + def test_apply_window_hanning_2D_axis1(self): + x = np.random.standard_normal([10, 1000]) + 100. + window = mlab.window_hanning + y = mlab.apply_window(x, window, axis=1, return_window=False) + yt = np.zeros_like(x) + for i in range(x.shape[0]): + yt[i, :] = window(x[i, :]) + assert_equal(yt.shape, y.shape) + assert_equal(x.shape, y.shape) + assert_allclose(yt, y, atol=1e-06) + + def test_apply_window_hanning_2D__els1_axis1(self): + x = np.random.standard_normal([10, 1000]) + 100. + window = mlab.window_hanning(np.ones(x.shape[1])) + window1 = mlab.window_hanning + y = mlab.apply_window(x, window, axis=1, return_window=False) + yt = np.zeros_like(x) + for i in range(x.shape[0]): + yt[i, :] = window1(x[i, :]) + assert_equal(yt.shape, y.shape) + assert_equal(x.shape, y.shape) + assert_allclose(yt, y, atol=1e-06) + + def test_apply_window_hanning_2D_els2_axis1(self): + x = np.random.standard_normal([10, 1000]) + 100. + window = mlab.window_hanning + window1 = mlab.window_hanning(np.ones(x.shape[1])) + y, window2 = mlab.apply_window(x, window, axis=1, return_window=True) + yt = np.zeros_like(x) + for i in range(x.shape[0]): + yt[i, :] = window1 * x[i, :] + assert_equal(yt.shape, y.shape) + assert_equal(x.shape, y.shape) + assert_allclose(yt, y, atol=1e-06) + assert_array_equal(window1, window2) + + def test_apply_window_hanning_2D_els3_axis1(self): + x = np.random.standard_normal([10, 1000]) + 100. + window = mlab.window_hanning + window1 = mlab.window_hanning(np.ones(x.shape[1])) + y = mlab.apply_window(x, window, axis=1, return_window=False) + yt = mlab.apply_window(x, window1, axis=1, return_window=False) + assert_equal(yt.shape, y.shape) + assert_equal(x.shape, y.shape) + assert_allclose(yt, y, atol=1e-06) + + def test_apply_window_stride_windows_hanning_2D_n13_noverlapn3_axis0(self): + x = self.sig_rand + window = mlab.window_hanning + yi = mlab.stride_windows(x, n=13, noverlap=2, axis=0) + y = mlab.apply_window(yi, window, axis=0, return_window=False) + yt = self.check_window_apply_repeat(x, window, 13, 2) + assert_equal(yt.shape, y.shape) + assert_not_equal(x.shape, y.shape) + assert_allclose(yt, y, atol=1e-06) + + +class detrend_testcase(CleanupTestCase): def setUp(self): - '''shared set-up code for detrend tests''' np.random.seed(0) - n = 100000 - x = np.arange(0., n) + n = 1000 + x = np.linspace(0., 100, n) self.sig_zeros = np.zeros(n) self.sig_off = self.sig_zeros + 100. self.sig_slope = np.linspace(-10., 90., n) - self.sig_slope_mean = np.linspace(-50, 50, n) - - self.sig_rand = np.random.standard_normal(n) - self.sig_sin = np.sin(x*2*np.pi/(n/100)) - - self.sig_rand -= self.sig_rand.mean() - self.sig_sin -= self.sig_sin.mean() - - self.sig_slope_off = self.sig_slope + self.sig_off - self.sig_sin_rand = self.sig_sin + self.sig_rand - - self.sig_rand_off = self.sig_rand + self.sig_off - self.sig_sin_off = self.sig_sin + self.sig_off - self.sig_sin_rand_off = self.sig_sin_rand + self.sig_off - - self.sig_rand_slope = self.sig_rand + self.sig_slope - self.sig_sin_slope = self.sig_sin + self.sig_slope - self.sig_sin_rand_slope = self.sig_sin_rand + self.sig_slope - - self.sig_rand_slope_mean = self.sig_rand + self.sig_slope_mean - self.sig_sin_slope_mean = self.sig_sin + self.sig_slope_mean - self.sig_sin_rand_slope_mean = self.sig_sin_rand + self.sig_slope_mean - - self.sig_rand_slope_off = self.sig_rand + self.sig_slope_off - self.sig_sin_slope_off = self.sig_sin + self.sig_slope_off - self.sig_sin_rand_slope_off = self.sig_sin_rand + self.sig_slope_off - - def test_detrend_none(self): - '''test mlab.detrend_none''' - res_off = mlab.detrend_none(self.sig_off) - res_slope = mlab.detrend_none(self.sig_slope) - - res_rand = mlab.detrend_none(self.sig_rand) - res_sin = mlab.detrend_none(self.sig_sin) - - res_slope_off = mlab.detrend_none(self.sig_slope_off) - res_sin_rand = mlab.detrend_none(self.sig_sin_rand) - - res_rand_off = mlab.detrend_none(self.sig_rand_off) - res_sin_off = mlab.detrend_none(self.sig_sin_off) - res_sin_rand_off = mlab.detrend_none(self.sig_sin_rand_off) - - res_rand_slope = mlab.detrend_none(self.sig_rand_slope) - res_sin_slope = mlab.detrend_none(self.sig_sin_slope) - res_sin_rand_slope = mlab.detrend_none(self.sig_sin_rand_slope) - - res_rand_slope_off = mlab.detrend_none(self.sig_rand_slope_off) - res_sin_slope_off = mlab.detrend_none(self.sig_sin_slope_off) - res_sin_rand_slope_off = mlab.detrend_none(self.sig_sin_rand_slope_off) - - assert_array_equal(res_off, self.sig_off) - assert_array_equal(res_slope, self.sig_slope) - - assert_array_equal(res_rand, self.sig_rand) - assert_array_equal(res_sin, self.sig_sin) + self.sig_slope_mean = x - x.mean() + + sig_rand = np.random.standard_normal(n) + sig_sin = np.sin(x*2*np.pi/(n/100)) + + sig_rand -= sig_rand.mean() + sig_sin -= sig_sin.mean() + + self.sig_base = sig_rand + sig_sin + + self.atol = 1e-08 + + def test_detrend_none_0D_zeros(self): + input = 0. + targ = input + res = mlab.detrend_none(input) + assert_equal(input, targ) + + def test_detrend_none_0D_zeros_axis1(self): + input = 0. + targ = input + res = mlab.detrend_none(input, axis=1) + assert_equal(input, targ) + + def test_detrend_str_none_0D_zeros(self): + input = 0. + targ = input + res = mlab.detrend(input, key='none') + assert_equal(input, targ) + + def test_detrend_detrend_none_0D_zeros(self): + input = 0. + targ = input + res = mlab.detrend(input, key=mlab.detrend_none) + assert_equal(input, targ) + + def test_detrend_none_0D_off(self): + input = 5.5 + targ = input + res = mlab.detrend_none(input) + assert_equal(input, targ) + + def test_detrend_none_1D_off(self): + input = self.sig_off + targ = input + res = mlab.detrend_none(input) + assert_array_equal(res, targ) + + def test_detrend_none_1D_slope(self): + input = self.sig_slope + targ = input + res = mlab.detrend_none(input) + assert_array_equal(res, targ) + + def test_detrend_none_1D_base(self): + input = self.sig_base + targ = input + res = mlab.detrend_none(input) + assert_array_equal(res, targ) + + def test_detrend_none_1D_base_slope_off_list(self): + input = self.sig_base + self.sig_slope + self.sig_off + targ = input.tolist() + res = mlab.detrend_none(input.tolist()) + assert_equal(res, targ) + + def test_detrend_none_2D(self): + arri = [self.sig_base, + self.sig_base + self.sig_off, + self.sig_base + self.sig_slope, + self.sig_base + self.sig_off + self.sig_slope] + input = np.vstack(arri) + targ = input + res = mlab.detrend_none(input) + assert_array_equal(res, targ) + + def test_detrend_none_2D_T(self): + arri = [self.sig_base, + self.sig_base + self.sig_off, + self.sig_base + self.sig_slope, + self.sig_base + self.sig_off + self.sig_slope] + input = np.vstack(arri) + targ = input + res = mlab.detrend_none(input.T) + assert_array_equal(res.T, targ) + + def test_detrend_mean_0D_zeros(self): + input = 0. + targ = 0. + res = mlab.detrend_mean(input) + assert_almost_equal(res, targ) + + def test_detrend_str_mean_0D_zeros(self): + input = 0. + targ = 0. + res = mlab.detrend(input, key='mean') + assert_almost_equal(res, targ) + + def test_detrend_detrend_mean_0D_zeros(self): + input = 0. + targ = 0. + res = mlab.detrend(input, key=mlab.detrend_mean) + assert_almost_equal(res, targ) + + def test_detrend_mean_0D_off(self): + input = 5.5 + targ = 0. + res = mlab.detrend_mean(input) + assert_almost_equal(res, targ) + + def test_detrend_str_mean_0D_off(self): + input = 5.5 + targ = 0. + res = mlab.detrend(input, key='mean') + assert_almost_equal(res, targ) + + def test_detrend_detrend_mean_0D_off(self): + input = 5.5 + targ = 0. + res = mlab.detrend(input, key=mlab.detrend_mean) + assert_almost_equal(res, targ) + + def test_detrend_mean_1D_zeros(self): + input = self.sig_zeros + targ = self.sig_zeros + res = mlab.detrend_mean(input) + assert_allclose(res, targ, atol=self.atol) + + def test_detrend_mean_1D_base(self): + input = self.sig_base + targ = self.sig_base + res = mlab.detrend_mean(input) + assert_allclose(res, targ, atol=self.atol) + + def test_detrend_mean_1D_base_off(self): + input = self.sig_base + self.sig_off + targ = self.sig_base + res = mlab.detrend_mean(input) + assert_allclose(res, targ, atol=self.atol) + + def test_detrend_mean_1D_base_slope(self): + input = self.sig_base + self.sig_slope + targ = self.sig_base + self.sig_slope_mean + res = mlab.detrend_mean(input) + assert_allclose(res, targ, atol=self.atol) + + def test_detrend_mean_1D_base_slope_off(self): + input = self.sig_base + self.sig_slope + self.sig_off + targ = self.sig_base + self.sig_slope_mean + res = mlab.detrend_mean(input) + assert_allclose(res, targ, atol=1e-08) + + def test_detrend_mean_1D_base_slope_off_axis0(self): + input = self.sig_base + self.sig_slope + self.sig_off + targ = self.sig_base + self.sig_slope_mean + res = mlab.detrend_mean(input, axis=0) + assert_allclose(res, targ, atol=1e-08) + + def test_detrend_mean_1D_base_slope_off_list(self): + input = self.sig_base + self.sig_slope + self.sig_off + targ = self.sig_base + self.sig_slope_mean + res = mlab.detrend_mean(input.tolist()) + assert_allclose(res, targ, atol=1e-08) + + def test_detrend_mean_1D_base_slope_off_list_axis0(self): + input = self.sig_base + self.sig_slope + self.sig_off + targ = self.sig_base + self.sig_slope_mean + res = mlab.detrend_mean(input.tolist(), axis=0) + assert_allclose(res, targ, atol=1e-08) + + def test_demean_0D_off(self): + input = 5.5 + targ = 0. + res = mlab.demean(input, axis=None) + assert_almost_equal(res, targ) + + def test_demean_1D_base_slope_off(self): + input = self.sig_base + self.sig_slope + self.sig_off + targ = self.sig_base + self.sig_slope_mean + res = mlab.demean(input) + assert_allclose(res, targ, atol=1e-08) + + def test_demean_1D_base_slope_off_axis0(self): + input = self.sig_base + self.sig_slope + self.sig_off + targ = self.sig_base + self.sig_slope_mean + res = mlab.demean(input, axis=0) + assert_allclose(res, targ, atol=1e-08) + + def test_demean_1D_base_slope_off_list(self): + input = self.sig_base + self.sig_slope + self.sig_off + targ = self.sig_base + self.sig_slope_mean + res = mlab.demean(input.tolist()) + assert_allclose(res, targ, atol=1e-08) + + def test_detrend_mean_2D_default(self): + arri = [self.sig_off, + self.sig_base + self.sig_off] + arrt = [self.sig_zeros, + self.sig_base] + input = np.vstack(arri) + targ = np.vstack(arrt) + res = mlab.detrend_mean(input) + assert_allclose(res, targ, atol=1e-08) + + def test_detrend_mean_2D_none(self): + arri = [self.sig_off, + self.sig_base + self.sig_off] + arrt = [self.sig_zeros, + self.sig_base] + input = np.vstack(arri) + targ = np.vstack(arrt) + res = mlab.detrend_mean(input, axis=None) + assert_allclose(res, targ, + atol=1e-08) - assert_array_equal(res_slope_off, self.sig_slope_off) - assert_array_equal(res_sin_rand, self.sig_sin_rand) + def test_detrend_mean_2D_none_T(self): + arri = [self.sig_off, + self.sig_base + self.sig_off] + arrt = [self.sig_zeros, + self.sig_base] + input = np.vstack(arri).T + targ = np.vstack(arrt) + res = mlab.detrend_mean(input, axis=None) + assert_allclose(res.T, targ, + atol=1e-08) - assert_array_equal(res_rand_off, self.sig_rand_off) - assert_array_equal(res_sin_off, self.sig_sin_off) - assert_array_equal(res_sin_rand_off, self.sig_sin_rand_off) + def test_detrend_mean_2D_axis0(self): + arri = [self.sig_base, + self.sig_base + self.sig_off, + self.sig_base + self.sig_slope, + self.sig_base + self.sig_off + self.sig_slope] + arrt = [self.sig_base, + self.sig_base, + self.sig_base + self.sig_slope_mean, + self.sig_base + self.sig_slope_mean] + input = np.vstack(arri).T + targ = np.vstack(arrt).T + res = mlab.detrend_mean(input, axis=0) + assert_allclose(res, targ, + atol=1e-08) - assert_array_equal(res_rand_slope, self.sig_rand_slope) - assert_array_equal(res_sin_slope, self.sig_sin_slope) - assert_array_equal(res_sin_rand_slope, self.sig_sin_rand_slope) + def test_detrend_mean_2D_axis1(self): + arri = [self.sig_base, + self.sig_base + self.sig_off, + self.sig_base + self.sig_slope, + self.sig_base + self.sig_off + self.sig_slope] + arrt = [self.sig_base, + self.sig_base, + self.sig_base + self.sig_slope_mean, + self.sig_base + self.sig_slope_mean] + input = np.vstack(arri) + targ = np.vstack(arrt) + res = mlab.detrend_mean(input, axis=1) + assert_allclose(res, targ, + atol=1e-08) - assert_array_equal(res_rand_slope_off, self.sig_rand_slope_off) - assert_array_equal(res_sin_slope_off, self.sig_sin_slope_off) - assert_array_equal(res_sin_rand_slope_off, self.sig_sin_rand_slope_off) + def test_detrend_mean_2D_axism1(self): + arri = [self.sig_base, + self.sig_base + self.sig_off, + self.sig_base + self.sig_slope, + self.sig_base + self.sig_off + self.sig_slope] + arrt = [self.sig_base, + self.sig_base, + self.sig_base + self.sig_slope_mean, + self.sig_base + self.sig_slope_mean] + input = np.vstack(arri) + targ = np.vstack(arrt) + res = mlab.detrend_mean(input, axis=-1) + assert_allclose(res, targ, + atol=1e-08) - def test_detrend_mean(self): - '''test mlab.detrend_none''' - res_off = mlab.detrend_mean(self.sig_off) - res_slope = mlab.detrend_mean(self.sig_slope) + def test_detrend_mean_2D_none(self): + arri = [self.sig_off, + self.sig_base + self.sig_off] + arrt = [self.sig_zeros, + self.sig_base] + input = np.vstack(arri) + targ = np.vstack(arrt) + res = mlab.detrend_mean(input, axis=None) + assert_allclose(res, targ, + atol=1e-08) - res_rand = mlab.detrend_mean(self.sig_rand) - res_sin = mlab.detrend_mean(self.sig_sin) + def test_detrend_mean_2D_none_T(self): + arri = [self.sig_off, + self.sig_base + self.sig_off] + arrt = [self.sig_zeros, + self.sig_base] + input = np.vstack(arri).T + targ = np.vstack(arrt) + res = mlab.detrend_mean(input, axis=None) + assert_allclose(res.T, targ, + atol=1e-08) - res_slope_off = mlab.detrend_mean(self.sig_slope_off) - res_sin_rand = mlab.detrend_mean(self.sig_sin_rand) + def test_detrend_mean_2D_axis0(self): + arri = [self.sig_base, + self.sig_base + self.sig_off, + self.sig_base + self.sig_slope, + self.sig_base + self.sig_off + self.sig_slope] + arrt = [self.sig_base, + self.sig_base, + self.sig_base + self.sig_slope_mean, + self.sig_base + self.sig_slope_mean] + input = np.vstack(arri).T + targ = np.vstack(arrt).T + res = mlab.detrend_mean(input, axis=0) + assert_allclose(res, targ, + atol=1e-08) - res_rand_off = mlab.detrend_mean(self.sig_rand_off) - res_sin_off = mlab.detrend_mean(self.sig_sin_off) - res_sin_rand_off = mlab.detrend_mean(self.sig_sin_rand_off) + def test_detrend_mean_2D_axis1(self): + arri = [self.sig_base, + self.sig_base + self.sig_off, + self.sig_base + self.sig_slope, + self.sig_base + self.sig_off + self.sig_slope] + arrt = [self.sig_base, + self.sig_base, + self.sig_base + self.sig_slope_mean, + self.sig_base + self.sig_slope_mean] + input = np.vstack(arri) + targ = np.vstack(arrt) + res = mlab.detrend_mean(input, axis=1) + assert_allclose(res, targ, + atol=1e-08) - res_rand_slope = mlab.detrend_mean(self.sig_rand_slope) - res_sin_slope = mlab.detrend_mean(self.sig_sin_slope) - res_sin_rand_slope = mlab.detrend_mean(self.sig_sin_rand_slope) + def test_detrend_mean_2D_axism1(self): + arri = [self.sig_base, + self.sig_base + self.sig_off, + self.sig_base + self.sig_slope, + self.sig_base + self.sig_off + self.sig_slope] + arrt = [self.sig_base, + self.sig_base, + self.sig_base + self.sig_slope_mean, + self.sig_base + self.sig_slope_mean] + input = np.vstack(arri) + targ = np.vstack(arrt) + res = mlab.detrend_mean(input, axis=-1) + assert_allclose(res, targ, + atol=1e-08) - res_rand_slope_off = mlab.detrend_mean(self.sig_rand_slope_off) - res_sin_slope_off = mlab.detrend_mean(self.sig_sin_slope_off) - res_sin_rand_slope_off = mlab.detrend_mean(self.sig_sin_rand_slope_off) + def test_detrend_2D_default(self): + arri = [self.sig_off, + self.sig_base + self.sig_off] + arrt = [self.sig_zeros, + self.sig_base] + input = np.vstack(arri) + targ = np.vstack(arrt) + res = mlab.detrend(input) + assert_allclose(res, targ, atol=1e-08) + + def test_detrend_2D_none(self): + arri = [self.sig_off, + self.sig_base + self.sig_off] + arrt = [self.sig_zeros, + self.sig_base] + input = np.vstack(arri) + targ = np.vstack(arrt) + res = mlab.detrend(input, axis=None) + assert_allclose(res, targ, atol=1e-08) + + def test_detrend_str_mean_2D_axis0(self): + arri = [self.sig_base, + self.sig_base + self.sig_off, + self.sig_base + self.sig_slope, + self.sig_base + self.sig_off + self.sig_slope] + arrt = [self.sig_base, + self.sig_base, + self.sig_base + self.sig_slope_mean, + self.sig_base + self.sig_slope_mean] + input = np.vstack(arri).T + targ = np.vstack(arrt).T + res = mlab.detrend(input, key='mean', axis=0) + assert_allclose(res, targ, + atol=1e-08) - assert_allclose(res_off, self.sig_zeros, atol=1e-06) - assert_allclose(res_slope, self.sig_slope_mean, atol=1e-06) + def test_detrend_str_constant_2D_none_T(self): + arri = [self.sig_off, + self.sig_base + self.sig_off] + arrt = [self.sig_zeros, + self.sig_base] + input = np.vstack(arri).T + targ = np.vstack(arrt) + res = mlab.detrend(input, key='constant', axis=None) + assert_allclose(res.T, targ, + atol=1e-08) - assert_allclose(res_rand, self.sig_rand, atol=1e-06) - assert_allclose(res_sin, self.sig_sin, atol=1e-06) + def test_detrend_str_default_2D_axis1(self): + arri = [self.sig_base, + self.sig_base + self.sig_off, + self.sig_base + self.sig_slope, + self.sig_base + self.sig_off + self.sig_slope] + arrt = [self.sig_base, + self.sig_base, + self.sig_base + self.sig_slope_mean, + self.sig_base + self.sig_slope_mean] + input = np.vstack(arri) + targ = np.vstack(arrt) + res = mlab.detrend(input, key='default', axis=1) + assert_allclose(res, targ, + atol=1e-08) - assert_allclose(res_slope_off, self.sig_slope_mean, atol=1e-06) - assert_allclose(res_sin_rand, self.sig_sin_rand, atol=1e-06) + def test_detrend_detrend_mean_2D_axis0(self): + arri = [self.sig_base, + self.sig_base + self.sig_off, + self.sig_base + self.sig_slope, + self.sig_base + self.sig_off + self.sig_slope] + arrt = [self.sig_base, + self.sig_base, + self.sig_base + self.sig_slope_mean, + self.sig_base + self.sig_slope_mean] + input = np.vstack(arri).T + targ = np.vstack(arrt).T + res = mlab.detrend(input, key=mlab.detrend_mean, axis=0) + assert_allclose(res, targ, + atol=1e-08) - assert_allclose(res_rand_off, self.sig_rand, atol=1e-06) - assert_allclose(res_sin_off, self.sig_sin, atol=1e-06) - assert_allclose(res_sin_rand_off, self.sig_sin_rand, atol=1e-06) + def test_demean_2D_default(self): + arri = [self.sig_base, + self.sig_base + self.sig_off, + self.sig_base + self.sig_slope, + self.sig_base + self.sig_off + self.sig_slope] + arrt = [self.sig_base, + self.sig_base, + self.sig_base + self.sig_slope_mean, + self.sig_base + self.sig_slope_mean] + input = np.vstack(arri).T + targ = np.vstack(arrt).T + res = mlab.demean(input) + assert_allclose(res, targ, + atol=1e-08) - assert_allclose(res_rand_slope, self.sig_rand_slope_mean, atol=1e-06) - assert_allclose(res_sin_slope, self.sig_sin_slope_mean, atol=1e-06) - assert_allclose(res_sin_rand_slope, self.sig_sin_rand_slope_mean, + def test_demean_2D_none(self): + arri = [self.sig_off, + self.sig_base + self.sig_off] + arrt = [self.sig_zeros, + self.sig_base] + input = np.vstack(arri) + targ = np.vstack(arrt) + res = mlab.demean(input, axis=None) + assert_allclose(res, targ, atol=1e-08) - assert_allclose(res_rand_slope_off, self.sig_rand_slope_mean, + def test_demean_2D_axis0(self): + arri = [self.sig_base, + self.sig_base + self.sig_off, + self.sig_base + self.sig_slope, + self.sig_base + self.sig_off + self.sig_slope] + arrt = [self.sig_base, + self.sig_base, + self.sig_base + self.sig_slope_mean, + self.sig_base + self.sig_slope_mean] + input = np.vstack(arri).T + targ = np.vstack(arrt).T + res = mlab.demean(input, axis=0) + assert_allclose(res, targ, atol=1e-08) - assert_allclose(res_sin_slope_off, self.sig_sin_slope_mean, atol=1e-06) - assert_allclose(res_sin_rand_slope_off, self.sig_sin_rand_slope_mean, + + def test_demean_2D_axis1(self): + arri = [self.sig_base, + self.sig_base + self.sig_off, + self.sig_base + self.sig_slope, + self.sig_base + self.sig_off + self.sig_slope] + arrt = [self.sig_base, + self.sig_base, + self.sig_base + self.sig_slope_mean, + self.sig_base + self.sig_slope_mean] + input = np.vstack(arri) + targ = np.vstack(arrt) + res = mlab.demean(input, axis=1) + assert_allclose(res, targ, atol=1e-08) - def test_detrend_linear(self): - '''test mlab.detrend_none''' - res_off = mlab.detrend_linear(self.sig_off) - res_slope = mlab.detrend_linear(self.sig_slope) + def test_demean_2D_axism1(self): + arri = [self.sig_base, + self.sig_base + self.sig_off, + self.sig_base + self.sig_slope, + self.sig_base + self.sig_off + self.sig_slope] + arrt = [self.sig_base, + self.sig_base, + self.sig_base + self.sig_slope_mean, + self.sig_base + self.sig_slope_mean] + input = np.vstack(arri) + targ = np.vstack(arrt) + res = mlab.demean(input, axis=-1) + assert_allclose(res, targ, + atol=1e-08) - res_slope_off = mlab.detrend_linear(self.sig_slope_off) + def test_detrend_bad_key_str_ValueError(self): + input = self.sig_slope[np.newaxis] + assert_raises(ValueError, mlab.detrend, input, key='spam') + + def test_detrend_bad_key_var_ValueError(self): + input = self.sig_slope[np.newaxis] + assert_raises(ValueError, mlab.detrend, input, key=5) + + def test_detrend_mean_0D_d0_ValueError(self): + input = 5.5 + assert_raises(ValueError, mlab.detrend_mean, input, axis=0) + + def test_detrend_0D_d0_ValueError(self): + input = 5.5 + assert_raises(ValueError, mlab.detrend, input, axis=0) + + def test_detrend_mean_1D_d1_ValueError(self): + input = self.sig_slope + assert_raises(ValueError, mlab.detrend_mean, input, axis=1) + + def test_detrend_1D_d1_ValueError(self): + input = self.sig_slope + assert_raises(ValueError, mlab.detrend, input, axis=1) + + def test_demean_1D_d1_ValueError(self): + input = self.sig_slope + assert_raises(ValueError, mlab.demean, input, axis=1) + + def test_detrend_mean_2D_d2_ValueError(self): + input = self.sig_slope[np.newaxis] + assert_raises(ValueError, mlab.detrend_mean, input, axis=2) + + def test_detrend_2D_d2_ValueError(self): + input = self.sig_slope[np.newaxis] + assert_raises(ValueError, mlab.detrend, input, axis=2) + + def test_demean_2D_d2_ValueError(self): + input = self.sig_slope[np.newaxis] + assert_raises(ValueError, mlab.demean, input, axis=2) + + def test_detrend_linear_0D_zeros(self): + input = 0. + targ = 0. + res = mlab.detrend_linear(input) + assert_almost_equal(res, targ) + + def test_detrend_linear_0D_off(self): + input = 5.5 + targ = 0. + res = mlab.detrend_linear(input) + assert_almost_equal(res, targ) + + def test_detrend_str_linear_0D_off(self): + input = 5.5 + targ = 0. + res = mlab.detrend(input, key='linear') + assert_almost_equal(res, targ) + + def test_detrend_detrend_linear_0D_off(self): + input = 5.5 + targ = 0. + res = mlab.detrend(input, key=mlab.detrend_linear) + assert_almost_equal(res, targ) + + def test_detrend_linear_1d_off(self): + input = self.sig_off + targ = self.sig_zeros + res = mlab.detrend_linear(input) + assert_allclose(res, targ, atol=self.atol) + + def test_detrend_linear_1d_slope(self): + input = self.sig_slope + targ = self.sig_zeros + res = mlab.detrend_linear(input) + assert_allclose(res, targ, atol=self.atol) + + def test_detrend_linear_1d_slope_off(self): + input = self.sig_slope + self.sig_off + targ = self.sig_zeros + res = mlab.detrend_linear(input) + assert_allclose(res, targ, atol=self.atol) + + def test_detrend_str_linear_1d_slope_off(self): + input = self.sig_slope + self.sig_off + targ = self.sig_zeros + res = mlab.detrend(input, key='linear') + assert_allclose(res, targ, atol=self.atol) + + def test_detrend_detrend_linear_1d_slope_off(self): + input = self.sig_slope + self.sig_off + targ = self.sig_zeros + res = mlab.detrend(input, key=mlab.detrend_linear) + assert_allclose(res, targ, atol=self.atol) + + def test_detrend_linear_1d_slope_off_list(self): + input = self.sig_slope + self.sig_off + targ = self.sig_zeros + res = mlab.detrend_linear(input.tolist()) + assert_allclose(res, targ, atol=self.atol) + + def test_detrend_linear_2D_ValueError(self): + input = self.sig_slope[np.newaxis] + assert_raises(ValueError, mlab.detrend_linear, input) + + def test_detrend_str_linear_2d_slope_off_axis0(self): + arri = [self.sig_off, + self.sig_slope, + self.sig_slope + self.sig_off] + arrt = [self.sig_zeros, + self.sig_zeros, + self.sig_zeros] + input = np.vstack(arri).T + targ = np.vstack(arrt).T + res = mlab.detrend(input, key='linear', axis=0) + assert_allclose(res, targ, atol=self.atol) + + def test_detrend_detrend_linear_1d_slope_off_axis1(self): + arri = [self.sig_off, + self.sig_slope, + self.sig_slope + self.sig_off] + arrt = [self.sig_zeros, + self.sig_zeros, + self.sig_zeros] + input = np.vstack(arri).T + targ = np.vstack(arrt).T + res = mlab.detrend(input, key=mlab.detrend_linear, axis=0) + assert_allclose(res, targ, atol=self.atol) + + def test_detrend_str_linear_2d_slope_off_axis0(self): + arri = [self.sig_off, + self.sig_slope, + self.sig_slope + self.sig_off] + arrt = [self.sig_zeros, + self.sig_zeros, + self.sig_zeros] + input = np.vstack(arri) + targ = np.vstack(arrt) + res = mlab.detrend(input, key='linear', axis=1) + assert_allclose(res, targ, atol=self.atol) + + def test_detrend_detrend_linear_1d_slope_off_axis1(self): + arri = [self.sig_off, + self.sig_slope, + self.sig_slope + self.sig_off] + arrt = [self.sig_zeros, + self.sig_zeros, + self.sig_zeros] + input = np.vstack(arri) + targ = np.vstack(arrt) + res = mlab.detrend(input, key=mlab.detrend_linear, axis=1) + assert_allclose(res, targ, atol=self.atol) + + +class spectral_testcase_nosig_real_onesided(CleanupTestCase): + def setUp(self): + self.createStim(fstims=[], + iscomplex=False, sides='onesided', nsides=1) + + def createStim(self, fstims, iscomplex, sides, nsides, len_x=None, + NFFT_density=-1, nover_density=-1, pad_to_density=-1, + pad_to_spectrum=-1): + Fs = 100. + + x = np.arange(0, 10, 1/Fs) + if len_x is not None: + x = x[:len_x] + + # get the stimulus frequencies, defaulting to None + fstims = [Fs/fstim for fstim in fstims] + + # get the constants, default to calculated values + if NFFT_density is None: + NFFT_density_real = 256 + elif NFFT_density < 0: + NFFT_density_real = NFFT_density = 100 + else: + NFFT_density_real = NFFT_density - assert_allclose(res_off, self.sig_zeros, atol=1e-06) - assert_allclose(res_slope, self.sig_zeros, atol=1e-06) + if nover_density is None: + nover_density_real = 0 + elif nover_density < 0: + nover_density_real = nover_density = NFFT_density_real//2 + else: + nover_density_real = nover_density - assert_allclose(res_slope_off, self.sig_zeros, atol=1e-06) + if pad_to_density is None: + pad_to_density_real = NFFT_density_real + elif pad_to_density < 0: + pad_to_density = int(2**np.ceil(np.log2(NFFT_density_real))) + pad_to_density_real = pad_to_density + else: + pad_to_density_real = pad_to_density + if pad_to_spectrum is None: + pad_to_spectrum_real = len(x) + elif pad_to_spectrum < 0: + pad_to_spectrum_real = pad_to_spectrum = len(x) + else: + pad_to_spectrum_real = pad_to_spectrum -class spectral_testcase(unittest.TestCase): - '''Check spectrum-related functions''' - def setUp(self): - '''shared set-up code for spectral tests''' - self.Fs = 100. + if pad_to_spectrum is None: + NFFT_spectrum_real = NFFT_spectrum = pad_to_spectrum_real + else: + NFFT_spectrum_real = NFFT_spectrum = len(x) + nover_spectrum_real = nover_spectrum = 0 + + NFFT_specgram = NFFT_density + nover_specgram = nover_density + pad_to_specgram = pad_to_density + NFFT_specgram_real = NFFT_density_real + nover_specgram_real = nover_density_real + + if nsides == 1: + # frequencies for specgram, psd, and csd + # need to handle even and odd differently + if pad_to_density_real % 2: + freqs_density = np.linspace(0, Fs/2, + num=pad_to_density_real, + endpoint=False)[::2] + else: + freqs_density = np.linspace(0, Fs/2, + num=pad_to_density_real//2+1) + + # frequencies for complex, magnitude, angle, and phase spectrums + # need to handle even and odd differently + if pad_to_spectrum_real % 2: + freqs_spectrum = np.linspace(0, Fs/2, + num=pad_to_spectrum_real, + endpoint=False)[::2] + else: + freqs_spectrum = np.linspace(0, Fs/2, + num=pad_to_spectrum_real//2+1) + else: + # frequencies for specgram, psd, and csd + # need to handle even and odd differentl + if pad_to_density_real % 2: + freqs_density = np.linspace(-Fs/2, Fs/2, + num=2*pad_to_density_real, + endpoint=False)[1::2] + else: + freqs_density = np.linspace(-Fs/2, Fs/2, + num=pad_to_density_real, + endpoint=False) + + # frequencies for complex, magnitude, angle, and phase spectrums + # need to handle even and odd differently + if pad_to_spectrum_real % 2: + freqs_spectrum = np.linspace(-Fs/2, Fs/2, + num=2*pad_to_spectrum_real, + endpoint=False)[1::2] + else: + freqs_spectrum = np.linspace(-Fs/2, Fs/2, + num=pad_to_spectrum_real, + endpoint=False) + + freqs_specgram = freqs_density + # time points for specgram + t_start = NFFT_specgram_real/2 + t_stop = len(x) - NFFT_specgram_real/2+1 + t_step = NFFT_specgram_real - nover_specgram_real + t_specgram = x[t_start:t_stop:t_step] + if NFFT_specgram_real % 2: + t_specgram += 1/Fs/2 + if len(t_specgram) == 0: + t_specgram = np.array([NFFT_specgram_real/(2*Fs)]) + t_spectrum = np.array([NFFT_spectrum_real/(2*Fs)]) + t_density = t_specgram + + y = np.zeros_like(x) + for i, fstim in enumerate(fstims): + y += np.sin(fstim * x * np.pi * 2) * 10**i - fstims = [self.Fs/4, self.Fs/5, self.Fs/10] - x = np.arange(0, 10000, 1/self.Fs) + if iscomplex: + y = y.astype('complex') - self.NFFT = 1000*int(1/min(fstims) * self.Fs) - self.nover = int(self.NFFT/2) - self.pad_to = int(2**np.ceil(np.log2(self.NFFT))) + self.Fs = Fs + self.sides = sides + self.fstims = fstims - # frequencies for specgram, psd, and csd - freqss = np.linspace(0, self.Fs/2, num=self.pad_to//2+1) - freqsd = np.linspace(-self.Fs/2, self.Fs/2, num=self.pad_to, - endpoint=False) + self.NFFT_density = NFFT_density + self.nover_density = nover_density + self.pad_to_density = pad_to_density - # frequencies for complex, magnitude, angle, and phase spectrums - freqssigs = np.linspace(0, self.Fs/2, num=len(x)//2+1) - freqssigd = np.linspace(-self.Fs/2, self.Fs/2, num=len(x), - endpoint=False) + self.NFFT_spectrum = NFFT_spectrum + self.nover_spectrum = nover_spectrum + self.pad_to_spectrum = pad_to_spectrum - # frequencies for complex, magnitude, angle, and phase spectrums - freqs2xs = np.linspace(0, self.Fs/2, num=(2 * len(x))//2+1) - freqs2xd = np.linspace(-self.Fs/2, self.Fs/2, num=2 * len(x), - endpoint=False) + self.NFFT_specgram = NFFT_specgram + self.nover_specgram = nover_specgram + self.pad_to_specgram = pad_to_specgram - # frequencies for complex, magnitude, angle, and phase spectrums - freqshalfs = np.linspace(0, self.Fs/2, num=(len(x)//2)//2+1) - freqshalfd = np.linspace(-self.Fs/2, self.Fs/2, num=len(x)//2, - endpoint=False) + self.t_specgram = t_specgram + self.t_density = t_density + self.t_spectrum = t_spectrum + self.y = y - # frequencies for specgram, psd, and csd when NFFT and pad_to is None - freqsnones = np.linspace(0, self.Fs/2, num=256//2+1) - freqsnoned = np.linspace(-self.Fs/2, self.Fs/2, num=256, - endpoint=False) + self.freqs_density = freqs_density + self.freqs_spectrum = freqs_spectrum + self.freqs_specgram = freqs_specgram - # time points for specgram - self.t = x[self.NFFT//2::self.NFFT-self.nover] - self.tnone = x[256//2::256-0] + self.NFFT_density_real = NFFT_density_real - # actual signals - ytemp = np.zeros_like(x) - yreal = [ytemp] - ycomp = [ytemp.astype('complex')] - for i, fstim in enumerate(fstims): - ytemp = np.sin(fstim * x * np.pi * 2) * 10**i - yreal.append(ytemp) - ycomp.append(ytemp.astype('complex')) - yreal.append(np.sum(yreal, axis=0)) - ycomp.append(np.sum(ycomp, axis=0)) - self.y = [yreal, ycomp] - - # get the list of frequencies in each test - self.fstimsall = [[]] + [[f] for f in fstims] + [fstims] - - # figure out which freqs correspond to which sides value - self.sides = ['default', 'onesided', 'twosided'] * 2 - - freqsreal = [freqss, freqss, freqsd] - freqscomplex = [freqsd, freqss, freqsd] - self.freqs = [freqsreal, freqscomplex] - - freqssigreal = [freqssigs, freqssigs, freqssigd] - freqssigcomplex = [freqssigd, freqssigs, freqssigd] - self.freqssig = [freqssigreal, freqssigcomplex] - - freqs2xreal = [freqs2xs, freqs2xs, freqs2xd] - freqs2xcomplex = [freqs2xd, freqs2xs, freqs2xd] - self.freqs2x = [freqs2xreal, freqs2xcomplex] - - freqshalfreal = [freqshalfs, freqshalfs, freqshalfd] - freqshalfcomplex = [freqshalfd, freqshalfs, freqshalfd] - self.freqshalf = [freqshalfreal, freqshalfcomplex] - - freqsnonereal = [freqsnones, freqsnones, freqsnoned] - freqsnonecomplex = [freqsnoned, freqsnones, freqsnoned] - self.freqsnone = [freqsnonereal, freqsnonecomplex] - - def check_freqs(self, vals, freqs, resfreqs, fstims): - '''Check the frequency values''' - assert_allclose(resfreqs, freqs, atol=1e-06) + def check_freqs(self, vals, targfreqs, resfreqs, fstims): + assert_true(resfreqs.argmin() == 0) + assert_true(resfreqs.argmax() == len(resfreqs)-1) + assert_allclose(resfreqs, targfreqs, atol=1e-06) for fstim in fstims: i = np.abs(resfreqs - fstim).argmin() - self.assertTrue(vals[i] > vals[i+1]) - self.assertTrue(vals[i] > vals[i-1]) + assert_true(vals[i] > vals[i+2]) + assert_true(vals[i] > vals[i-2]) def check_maxfreq(self, spec, fsp, fstims): - '''Check that the peaks are correct''' # skip the test if there are no frequencies if len(fstims) == 0: return @@ -369,520 +1331,1038 @@ def check_maxfreq(self, spec, fsp, fstims): while fstimst: maxind = spect.argmax() maxfreq = fsp[maxind] - self.assertAlmostEqual(maxfreq, fstimst[-1]) + assert_almost_equal(maxfreq, fstimst[-1]) del fstimst[-1] - spect[maxind-50:maxind+50] = 0 - - def test_spectral_helper_errors(self): - '''test to make sure mlab._spectral_helper fails properly''' - y = self.y[0][0] + spect[maxind-5:maxind+5] = 0 + def test_spectral_helper_raises_complex_same_data(self): # test that mode 'complex' cannot be used if x is not y - with self.assertRaises(ValueError): - spec, fsp, t = mlab._spectral_helper(x=y, y=y+1, mode='complex') + assert_raises(ValueError, mlab._spectral_helper, + x=self.y, y=self.y+1, mode='complex') + def test_spectral_helper_raises_magnitude_same_data(self): # test that mode 'magnitude' cannot be used if x is not y - with self.assertRaises(ValueError): - spec, fsp, t = mlab._spectral_helper(x=y, y=y+1, mode='magnitude') + assert_raises(ValueError, mlab._spectral_helper, + x=self.y, y=self.y+1, mode='magnitude') + def test_spectral_helper_raises_angle_same_data(self): # test that mode 'angle' cannot be used if x is not y - with self.assertRaises(ValueError): - spec, fsp, t = mlab._spectral_helper(x=y, y=y+1, mode='angle') + assert_raises(ValueError, mlab._spectral_helper, + x=self.y, y=self.y+1, mode='angle') + def test_spectral_helper_raises_phase_same_data(self): # test that mode 'phase' cannot be used if x is not y - with self.assertRaises(ValueError): - spec, fsp, t = mlab._spectral_helper(x=y, y=y+1, mode='phase') + assert_raises(ValueError, mlab._spectral_helper, + x=self.y, y=self.y+1, mode='phase') + def test_spectral_helper_raises_unknown_mode(self): # test that unknown value for mode cannot be used - with self.assertRaises(ValueError): - spec, fsp, t = mlab._spectral_helper(x=y, mode='spam') + assert_raises(ValueError, mlab._spectral_helper, + x=self.y, mode='spam') + def test_spectral_helper_raises_unknown_sides(self): # test that unknown value for sides cannot be used - with self.assertRaises(ValueError): - spec, fsp, t = mlab._spectral_helper(x=y, y=y, sides='eggs') + assert_raises(ValueError, mlab._spectral_helper, + x=self.y, y=self.y, sides='eggs') + def test_spectral_helper_raises_noverlap_gt_NFFT(self): # test that noverlap cannot be larger than NFFT - with self.assertRaises(ValueError): - spec, fsp, t = mlab._spectral_helper(x=y, y=y, NFFT=10, - noverlap=20) + assert_raises(ValueError, mlab._spectral_helper, + x=self.y, y=self.y, NFFT=10, noverlap=20) + def test_spectral_helper_raises_noverlap_eq_NFFT(self): # test that noverlap cannot be equal to NFFT - with self.assertRaises(ValueError): - spec, fsp, t = mlab._spectral_helper(x=y, NFFT=10, noverlap=10) + assert_raises(ValueError, mlab._spectral_helper, + x=self.y, NFFT=10, noverlap=10) + def test_spectral_helper_raises_winlen_ne_NFFT(self): # test that the window length cannot be different from NFFT - with self.assertRaises(ValueError): - spec, fsp, t = mlab._spectral_helper(x=y, y=y, NFFT=10, - window=np.ones(9)) - - # test that NFFT cannot be odd - with self.assertRaises(ValueError): - spec, fsp, t = mlab._spectral_helper(x=y, NFFT=11) + assert_raises(ValueError, mlab._spectral_helper, + x=self.y, y=self.y, NFFT=10, window=np.ones(9)) + def test_single_spectrum_helper_raises_mode_default(self): # test that mode 'default' cannot be used with _single_spectrum_helper - with self.assertRaises(ValueError): - spec, fsp, t = mlab._single_spectrum_helper(x=y, mode='default') - - # test that mode 'density' cannot be used with _single_spectrum_helper - with self.assertRaises(ValueError): - spec, fsp, t = mlab._single_spectrum_helper(x=y, mode='density') - - def test_spectral_helper_density(self): - '''test mlab._spectral_helper in density mode''' - for ys, freqss in zip(self.y, self.freqs): - for y, fstims in zip(ys, self.fstimsall): - for side, freqs in zip(self.sides, freqss): - spec, fsp, t = mlab._spectral_helper(x=y, y=y, - NFFT=self.NFFT, - Fs=self.Fs, - noverlap=self.nover, - pad_to=self.pad_to, - sides=side, - mode='density') - self.assertEqual(spec.shape[0], freqs.shape[0]) - self.assertEqual(spec.shape[1], self.t.shape[0]) + assert_raises(ValueError, mlab._single_spectrum_helper, + x=self.y, mode='default') + + def test_single_spectrum_helper_raises_mode_psd(self): + # test that mode 'psd' cannot be used with _single_spectrum_helper + assert_raises(ValueError, mlab._single_spectrum_helper, + x=self.y, mode='psd') + + def test_spectral_helper_psd(self): + freqs = self.freqs_density + spec, fsp, t = mlab._spectral_helper(x=self.y, y=self.y, + NFFT=self.NFFT_density, + Fs=self.Fs, + noverlap=self.nover_density, + pad_to=self.pad_to_density, + sides=self.sides, + mode='psd') + + assert_allclose(fsp, freqs, atol=1e-06) + assert_allclose(t, self.t_density, atol=1e-06) + + assert_equal(spec.shape[0], freqs.shape[0]) + assert_equal(spec.shape[1], self.t_specgram.shape[0]) def test_spectral_helper_magnitude_specgram(self): - '''test mlab._spectral_helper in magnitude mode with arguments - used in specgram''' - for ys, freqss in zip(self.y, self.freqs): - for y, fstims in zip(ys, self.fstimsall): - for side, freqs in zip(self.sides, freqss): - spec, fsp, t = mlab._spectral_helper(x=y, y=y, - NFFT=self.NFFT, - Fs=self.Fs, - noverlap=self.nover, - pad_to=self.pad_to, - sides=side, - mode='magnitude') - self.assertEqual(spec.shape[0], freqs.shape[0]) - self.assertEqual(spec.shape[1], self.t.shape[0]) + freqs = self.freqs_specgram + spec, fsp, t = mlab._spectral_helper(x=self.y, y=self.y, + NFFT=self.NFFT_specgram, + Fs=self.Fs, + noverlap=self.nover_specgram, + pad_to=self.pad_to_specgram, + sides=self.sides, + mode='magnitude') + + assert_allclose(fsp, freqs, atol=1e-06) + assert_allclose(t, self.t_specgram, atol=1e-06) + + assert_equal(spec.shape[0], freqs.shape[0]) + assert_equal(spec.shape[1], self.t_specgram.shape[0]) def test_spectral_helper_magnitude_magnitude_spectrum(self): - '''test mlab._spectral_helper in magnitude mode with arguments - used in magnitude_spectrum''' - for ys, freqss in zip(self.y, self.freqssig): - for y, fstims in zip(ys, self.fstimsall): - for side, freqs in zip(self.sides, freqss): - spec, fsp, t = mlab._spectral_helper(x=y, y=y, - NFFT=len(y), - Fs=self.Fs, - noverlap=0, - pad_to=len(y), - sides=side, - mode='magnitude') - self.assertEqual(spec.shape[0], freqs.shape[0]) - self.assertEqual(spec.shape[1], 1) + freqs = self.freqs_spectrum + spec, fsp, t = mlab._spectral_helper(x=self.y, y=self.y, + NFFT=self.NFFT_spectrum, + Fs=self.Fs, + noverlap=self.nover_spectrum, + pad_to=self.pad_to_spectrum, + sides=self.sides, + mode='magnitude') + + assert_allclose(fsp, freqs, atol=1e-06) + assert_allclose(t, self.t_spectrum, atol=1e-06) + + assert_equal(spec.shape[0], freqs.shape[0]) + assert_equal(spec.shape[1], 1) def test_csd(self): - '''test mlab.csd''' - for ys, freqss in zip(self.y, self.freqs): - for y, fstims in zip(ys, self.fstimsall): - for side, freqs in zip(self.sides, freqss): - spec, fsp = mlab.csd(y, y+1, NFFT=self.NFFT, - Fs=self.Fs, - noverlap=self.nover, - pad_to=self.pad_to, - sides=side) - self.assertEqual(spec.shape, freqs.shape) - assert_allclose(fsp, freqs, atol=1e-06) - - def test_csd_nones(self): - '''test mlab.csd when NFFT and pad_to are None''' - for ys, freqss in zip(self.y, self.freqsnone): - for y, fstims in zip(ys, self.fstimsall): - for side, freqs in zip(self.sides, freqss): - spec, fsp = mlab.csd(y, y+1, NFFT=None, - Fs=self.Fs, - noverlap=0, - pad_to=None, - sides=side) - self.assertEqual(spec.shape, freqs.shape) - assert_allclose(fsp, freqs, atol=1e-06) - - def test_csd_longer(self): - '''test mlab.csd with NFFT longer than len(y)''' - for ys, freqss in zip(self.y, self.freqsnone): - for y, fstims in zip(ys, self.fstimsall): - for side, freqs in zip(self.sides, freqss): - spec, fsp = mlab.csd(y[:250], y[:250]+1, NFFT=None, - Fs=self.Fs, - noverlap=0, - pad_to=None, - sides=side) - self.assertEqual(spec.shape, freqs.shape) - assert_allclose(fsp, freqs, atol=1e-06) + freqs = self.freqs_density + spec, fsp = mlab.csd(x=self.y, y=self.y+1, + NFFT=self.NFFT_density, + Fs=self.Fs, + noverlap=self.nover_density, + pad_to=self.pad_to_density, + sides=self.sides) + assert_allclose(fsp, freqs, atol=1e-06) + assert_equal(spec.shape, freqs.shape) def test_psd(self): - '''test mlab.psd''' - for ys, freqss in zip(self.y, self.freqs): - for y, fstims in zip(ys, self.fstimsall): - for side, freqs in zip(self.sides, freqss): - spec, fsp = mlab.psd(y, NFFT=self.NFFT, - Fs=self.Fs, - noverlap=self.nover, - pad_to=self.pad_to, - sides=side) - self.assertEqual(spec.shape, freqs.shape) - self.check_freqs(spec, freqs, fsp, fstims) - - def test_psd_nones(self): - '''test mlab.psd when NFFT and pad_to are None''' - for ys, freqss in zip(self.y, self.freqsnone): - for y, fstims in zip(ys, self.fstimsall): - for side, freqs in zip(self.sides, freqss): - spec, fsp = mlab.psd(y, NFFT=None, - Fs=self.Fs, - noverlap=0, - pad_to=None, - sides=side) - self.assertEqual(spec.shape, freqs.shape) - self.check_freqs(spec, freqs, fsp, fstims) + freqs = self.freqs_density + spec, fsp = mlab.psd(x=self.y, + NFFT=self.NFFT_density, + Fs=self.Fs, + noverlap=self.nover_density, + pad_to=self.pad_to_density, + sides=self.sides) + assert_equal(spec.shape, freqs.shape) + self.check_freqs(spec, freqs, fsp, self.fstims) def test_psd_windowarray(self): - '''test mlab.psd when window is an array''' - for ys, freqss in zip(self.y, self.freqs): - for y, fstims in zip(ys, self.fstimsall): - for side, freqs in zip(self.sides, freqss): - spec, fsp = mlab.psd(y, NFFT=self.NFFT, - Fs=self.Fs, - noverlap=self.nover, - pad_to=self.pad_to, - sides=side, - window=np.ones(self.NFFT)) - self.assertEqual(spec.shape, freqs.shape) - self.check_freqs(spec, freqs, fsp, fstims) + freqs = self.freqs_density + spec, fsp = mlab.psd(x=self.y, + NFFT=self.NFFT_density, + Fs=self.Fs, + noverlap=self.nover_density, + pad_to=self.pad_to_density, + sides=self.sides, + window=np.ones(self.NFFT_density_real)) + assert_allclose(fsp, freqs, atol=1e-06) + assert_equal(spec.shape, freqs.shape) def test_complex_spectrum(self): - '''test mlab.complex_spectrum''' - for ys, freqss in zip(self.y, self.freqssig): - for y, fstims in zip(ys, self.fstimsall): - for side, freqs in zip(self.sides, freqss): - spec, fsp = mlab.complex_spectrum(y, Fs=self.Fs, - sides=side) - self.assertEqual(spec.shape, freqs.shape) - assert_allclose(fsp, freqs, atol=1e-06) + freqs = self.freqs_spectrum + spec, fsp = mlab.complex_spectrum(x=self.y, + Fs=self.Fs, + sides=self.sides, + pad_to=self.pad_to_spectrum) + assert_allclose(fsp, freqs, atol=1e-06) + assert_equal(spec.shape, freqs.shape) def test_magnitude_spectrum(self): - '''test mlab.magnitude_spectrum''' - for ys, freqss in zip(self.y, self.freqssig): - for y, fstims in zip(ys, self.fstimsall): - for side, freqs in zip(self.sides, freqss): - spec, fsp = mlab.magnitude_spectrum(y, Fs=self.Fs, - sides=side) - self.assertEqual(spec.shape, freqs.shape) - self.check_freqs(spec, freqs, fsp, fstims) - self.check_maxfreq(spec, fsp, fstims) - - def test_magnitude_spectrum_double(self): - '''test mlab.magnitude_spectrum with pad_to twice default''' - for ys, freqss in zip(self.y, self.freqs2x): - for y, fstims in zip(ys, self.fstimsall): - for side, freqs in zip(self.sides, freqss): - spec, fsp = mlab.magnitude_spectrum(y, Fs=self.Fs, - sides=side, - pad_to=len(y) * 2) - self.assertEqual(spec.shape, freqs.shape) - self.check_freqs(spec, freqs, fsp, fstims) - self.check_maxfreq(spec, fsp, fstims) - - def test_magnitude_spectrum_half(self): - '''test mlab.magnitude_spectrum with pad_to half default''' - for ys, freqss in zip(self.y, self.freqshalf): - for y, fstims in zip(ys, self.fstimsall): - for side, freqs in zip(self.sides, freqss): - spec, fsp = mlab.magnitude_spectrum(y, Fs=self.Fs, - sides=side, - pad_to=len(y) // 2) - self.assertEqual(spec.shape, freqs.shape) - self.check_freqs(spec, freqs, fsp, fstims) - self.check_maxfreq(spec, fsp, fstims) + freqs = self.freqs_spectrum + spec, fsp = mlab.magnitude_spectrum(x=self.y, + Fs=self.Fs, + sides=self.sides, + pad_to=self.pad_to_spectrum) + assert_equal(spec.shape, freqs.shape) + self.check_maxfreq(spec, fsp, self.fstims) + self.check_freqs(spec, freqs, fsp, self.fstims) def test_angle_spectrum(self): - '''test mlab.angle_spectrum''' - for ys, freqss in zip(self.y, self.freqssig): - for y, fstims in zip(ys, self.fstimsall): - for side, freqs in zip(self.sides, freqss): - spec, fsp = mlab.angle_spectrum(y, Fs=self.Fs, - sides=side) - self.assertEqual(spec.shape, freqs.shape) - assert_allclose(fsp, freqs, atol=1e-06) + freqs = self.freqs_spectrum + spec, fsp = mlab.angle_spectrum(x=self.y, + Fs=self.Fs, + sides=self.sides, + pad_to=self.pad_to_spectrum) + assert_allclose(fsp, freqs, atol=1e-06) + assert_equal(spec.shape, freqs.shape) def test_phase_spectrum(self): - '''test mlab.phase_spectrum''' - for ys, freqss in zip(self.y, self.freqssig): - for y, fstims in zip(ys, self.fstimsall): - for side, freqs in zip(self.sides, freqss): - spec, fsp = mlab.phase_spectrum(y, Fs=self.Fs, - sides=side) - self.assertEqual(spec.shape, freqs.shape) - assert_allclose(fsp, freqs, atol=1e-06) + freqs = self.freqs_spectrum + spec, fsp = mlab.phase_spectrum(x=self.y, + Fs=self.Fs, + sides=self.sides, + pad_to=self.pad_to_spectrum) + assert_allclose(fsp, freqs, atol=1e-06) + assert_equal(spec.shape, freqs.shape) def test_specgram_auto(self): - '''test mlab.specgram with no specified mode''' - for ys, freqss in zip(self.y, self.freqs): - for y, fstims in zip(ys, self.fstimsall): - for side, freqs in zip(self.sides, freqss): - spec, fsp, t = mlab.specgram(y, NFFT=self.NFFT, - Fs=self.Fs, - noverlap=self.nover, - pad_to=self.pad_to, - sides=side) - specm = np.mean(spec, axis=1) - self.assertEqual(spec.shape[0], freqs.shape[0]) - self.assertEqual(spec.shape[1], self.t.shape[0]) - - assert_array_equal(fsp, freqs) - assert_array_equal(t, self.t) - # since we are using a single freq, all time slices - # should be about the same - assert_allclose(np.diff(spec, axis=1).max(), 0, atol=1e-05) - self.check_freqs(specm, freqs, fsp, fstims) + freqs = self.freqs_specgram + spec, fsp, t = mlab.specgram(x=self.y, + NFFT=self.NFFT_specgram, + Fs=self.Fs, + noverlap=self.nover_specgram, + pad_to=self.pad_to_specgram, + sides=self.sides) + specm = np.mean(spec, axis=1) + + assert_allclose(fsp, freqs, atol=1e-06) + assert_allclose(t, self.t_specgram, atol=1e-06) + + assert_equal(spec.shape[0], freqs.shape[0]) + assert_equal(spec.shape[1], self.t_specgram.shape[0]) + + # since we are using a single freq, all time slices + # should be about the same + if np.abs(spec.max()) != 0: + assert_allclose(np.diff(spec, axis=1).max()/np.abs(spec.max()), 0, + atol=1e-02) + self.check_freqs(specm, freqs, fsp, self.fstims) def test_specgram_default(self): - '''test mlab.specgram in default mode''' - for ys, freqss in zip(self.y, self.freqs): - for y, fstims in zip(ys, self.fstimsall): - for side, freqs in zip(self.sides, freqss): - spec, fsp, t = mlab.specgram(y, NFFT=self.NFFT, - Fs=self.Fs, - noverlap=self.nover, - pad_to=self.pad_to, - sides=side, - mode='default') - specm = np.mean(spec, axis=1) - self.assertEqual(spec.shape[0], freqs.shape[0]) - self.assertEqual(spec.shape[1], self.t.shape[0]) - - assert_array_equal(fsp, freqs) - assert_array_equal(t, self.t) - # since we are using a single freq, all time slices - # should be about the same - assert_allclose(np.diff(spec, axis=1).max(), 0, atol=1e-04) - self.check_freqs(specm, freqs, fsp, fstims) - - def test_specgram_density(self): - '''test mlab.specgram in density mode''' - for ys, freqss in zip(self.y, self.freqs): - for y, fstims in zip(ys, self.fstimsall): - for side, freqs in zip(self.sides, freqss): - spec, fsp, t = mlab.specgram(y, NFFT=self.NFFT, - Fs=self.Fs, - noverlap=self.nover, - pad_to=self.pad_to, - sides=side, - mode='density') - specm = np.mean(spec, axis=1) - self.assertEqual(spec.shape[0], freqs.shape[0]) - self.assertEqual(spec.shape[1], self.t.shape[0]) - - assert_array_equal(fsp, freqs) - assert_array_equal(t, self.t) - # since we are using a single freq, all time slices - # should be about the same - assert_allclose(np.diff(spec, axis=1).max(), 0, atol=1e-04) - self.check_freqs(specm, freqs, fsp, fstims) - - def test_specgram_density_none(self): - '''test mlab.specgram in density mode with NFFT and pad_to - set to None''' - for ys, freqss in zip(self.y, self.freqsnone): - for y, fstims in zip(ys, self.fstimsall): - for side, freqs in zip(self.sides, freqss): - spec, fsp, t = mlab.specgram(y, NFFT=None, - Fs=self.Fs, - noverlap=0, - pad_to=None, - sides=side, - mode='density') - specm = np.mean(spec, axis=1) - self.assertEqual(spec.shape[0], freqs.shape[0]) - self.assertEqual(spec.shape[1], self.tnone.shape[0]) - - assert_array_equal(fsp, freqs) - assert_array_equal(t, self.tnone) - self.check_freqs(specm, freqs, fsp, fstims) + freqs = self.freqs_specgram + spec, fsp, t = mlab.specgram(x=self.y, + NFFT=self.NFFT_specgram, + Fs=self.Fs, + noverlap=self.nover_specgram, + pad_to=self.pad_to_specgram, + sides=self.sides, + mode='default') + specm = np.mean(spec, axis=1) + + assert_allclose(fsp, freqs, atol=1e-06) + assert_allclose(t, self.t_specgram, atol=1e-06) + + assert_equal(spec.shape[0], freqs.shape[0]) + assert_equal(spec.shape[1], self.t_specgram.shape[0]) + + # since we are using a single freq, all time slices + # should be about the same + if np.abs(spec.max()) != 0: + assert_allclose(np.diff(spec, axis=1).max()/np.abs(spec.max()), 0, + atol=1e-02) + self.check_freqs(specm, freqs, fsp, self.fstims) + + def test_specgram_psd(self): + freqs = self.freqs_specgram + spec, fsp, t = mlab.specgram(x=self.y, + NFFT=self.NFFT_specgram, + Fs=self.Fs, + noverlap=self.nover_specgram, + pad_to=self.pad_to_specgram, + sides=self.sides, + mode='psd') + specm = np.mean(spec, axis=1) + + assert_allclose(fsp, freqs, atol=1e-06) + assert_allclose(t, self.t_specgram, atol=1e-06) + + assert_equal(spec.shape[0], freqs.shape[0]) + assert_equal(spec.shape[1], self.t_specgram.shape[0]) + # since we are using a single freq, all time slices + # should be about the same + if np.abs(spec.max()) != 0: + assert_allclose(np.diff(spec, axis=1).max()/np.abs(spec.max()), 0, + atol=1e-02) + self.check_freqs(specm, freqs, fsp, self.fstims) def test_specgram_complex(self): - '''test mlab.specgram in complex mode''' - for ys, freqss in zip(self.y, self.freqs): - for y, fstims in zip(ys, self.fstimsall): - for side, freqs in zip(self.sides, freqss): - spec, fsp, t = mlab.specgram(y, NFFT=self.NFFT, - Fs=self.Fs, - noverlap=self.nover, - pad_to=self.pad_to, - sides=side, - mode='complex') - specm = np.mean(np.abs(spec), axis=1) - self.assertEqual(spec.shape[0], freqs.shape[0]) - self.assertEqual(spec.shape[1], self.t.shape[0]) - - assert_array_equal(fsp, freqs) - assert_array_equal(t, self.t) - # since we are using a single freq, all time slices - # should be about the same - specr = spec.real - speci = spec.imag - assert_allclose(np.diff(specr, axis=1).max(), 0, - atol=1e-05) - assert_allclose(np.diff(speci, axis=1).max(), 0, - atol=1e-05) - self.check_freqs(specm, freqs, fsp, fstims) + freqs = self.freqs_specgram + spec, fsp, t = mlab.specgram(x=self.y, + NFFT=self.NFFT_specgram, + Fs=self.Fs, + noverlap=self.nover_specgram, + pad_to=self.pad_to_specgram, + sides=self.sides, + mode='complex') + specm = np.mean(np.abs(spec), axis=1) + assert_allclose(fsp, freqs, atol=1e-06) + assert_allclose(t, self.t_specgram, atol=1e-06) + + assert_equal(spec.shape[0], freqs.shape[0]) + assert_equal(spec.shape[1], self.t_specgram.shape[0]) + + self.check_freqs(specm, freqs, fsp, self.fstims) def test_specgram_magnitude(self): - '''test mlab.specgram in magnitude mode''' - for ys, freqss in zip(self.y, self.freqs): - for y, fstims in zip([ys[1]], self.fstimsall): - for side, freqs in zip(self.sides, freqss): - spec, fsp, t = mlab.specgram(y, NFFT=self.NFFT, - Fs=self.Fs, - noverlap=self.nover, - pad_to=self.pad_to, - sides=side, - mode='magnitude') - specm = np.mean(spec, axis=1) - self.assertEqual(spec.shape[0], freqs.shape[0]) - self.assertEqual(spec.shape[1], self.t.shape[0]) - - assert_array_equal(fsp, freqs) - assert_array_equal(t, self.t) - # since we are using a single freq, all time slices - # should be about the same - assert_allclose(np.diff(spec, axis=1).max(), 0, atol=1e-06) - self.check_freqs(specm, freqs, fsp, fstims) + freqs = self.freqs_specgram + spec, fsp, t = mlab.specgram(x=self.y, + NFFT=self.NFFT_specgram, + Fs=self.Fs, + noverlap=self.nover_specgram, + pad_to=self.pad_to_specgram, + sides=self.sides, + mode='magnitude') + specm = np.mean(spec, axis=1) + assert_allclose(fsp, freqs, atol=1e-06) + assert_allclose(t, self.t_specgram, atol=1e-06) + + assert_equal(spec.shape[0], freqs.shape[0]) + assert_equal(spec.shape[1], self.t_specgram.shape[0]) + # since we are using a single freq, all time slices + # should be about the same + if np.abs(spec.max()) != 0: + assert_allclose(np.diff(spec, axis=1).max()/np.abs(spec.max()), 0, + atol=1e-02) + self.check_freqs(specm, freqs, fsp, self.fstims) def test_specgram_angle(self): - '''test mlab.specgram in angle mode''' - for ys, freqss in zip(self.y, self.freqs): - for y, fstims in zip(ys, self.fstimsall): - for side, freqs in zip(self.sides, freqss): - spec, fsp, t = mlab.specgram(y, NFFT=self.NFFT, - Fs=self.Fs, - noverlap=self.nover, - pad_to=self.pad_to, - sides=side, - mode='angle') - specm = np.mean(spec, axis=1) - self.assertEqual(spec.shape[0], freqs.shape[0]) - self.assertEqual(spec.shape[1], self.t.shape[0]) - - assert_array_equal(fsp, freqs) - assert_array_equal(t, self.t) + freqs = self.freqs_specgram + spec, fsp, t = mlab.specgram(x=self.y, + NFFT=self.NFFT_specgram, + Fs=self.Fs, + noverlap=self.nover_specgram, + pad_to=self.pad_to_specgram, + sides=self.sides, + mode='angle') + specm = np.mean(spec, axis=1) + assert_allclose(fsp, freqs, atol=1e-06) + assert_allclose(t, self.t_specgram, atol=1e-06) + + assert_equal(spec.shape[0], freqs.shape[0]) + assert_equal(spec.shape[1], self.t_specgram.shape[0]) def test_specgram_phase(self): - '''test mlab.specgram in phase mode''' - for ys, freqss in zip(self.y, self.freqs): - for y, fstims in zip(ys, self.fstimsall): - for side, freqs in zip(self.sides, freqss): - spec, fsp, t = mlab.specgram(y, NFFT=self.NFFT, - Fs=self.Fs, - noverlap=self.nover, - pad_to=self.pad_to, - sides=side, - mode='phase') - specm = np.mean(spec, axis=1) - self.assertEqual(spec.shape[0], freqs.shape[0]) - self.assertEqual(spec.shape[1], self.t.shape[0]) - - assert_array_equal(fsp, freqs) - assert_array_equal(t, self.t) + freqs = self.freqs_specgram + spec, fsp, t = mlab.specgram(x=self.y, + NFFT=self.NFFT_specgram, + Fs=self.Fs, + noverlap=self.nover_specgram, + pad_to=self.pad_to_specgram, + sides=self.sides, + mode='phase') + specm = np.mean(spec, axis=1) + + assert_allclose(fsp, freqs, atol=1e-06) + assert_allclose(t, self.t_specgram, atol=1e-06) + + assert_equal(spec.shape[0], freqs.shape[0]) + assert_equal(spec.shape[1], self.t_specgram.shape[0]) def test_psd_csd_equal(self): - '''test that mlab.psd and mlab.csd are the same for x = y''' - for ys in self.y: - for y, fstims in zip(ys, self.fstimsall): - for side in self.sides: - Pxx, freqsxx = mlab.psd(y, NFFT=self.NFFT, - Fs=self.Fs, - noverlap=self.nover, - pad_to=self.pad_to, - sides=side) - Pxy, freqsxy = mlab.csd(y, y, NFFT=self.NFFT, - Fs=self.Fs, - noverlap=self.nover, - pad_to=self.pad_to, - sides=side) - assert_array_equal(Pxx, Pxy) - assert_array_equal(freqsxx, freqsxy) - - def test_specgram_auto_default_density_equal(self): + freqs = self.freqs_density + Pxx, freqsxx = mlab.psd(x=self.y, + NFFT=self.NFFT_density, + Fs=self.Fs, + noverlap=self.nover_density, + pad_to=self.pad_to_density, + sides=self.sides) + Pxy, freqsxy = mlab.csd(x=self.y, y=self.y, + NFFT=self.NFFT_density, + Fs=self.Fs, + noverlap=self.nover_density, + pad_to=self.pad_to_density, + sides=self.sides) + assert_array_equal(Pxx, Pxy) + assert_array_equal(freqsxx, freqsxy) + + def test_specgram_auto_default_equal(self): + '''test that mlab.specgram without mode and with mode 'default' and + 'psd' are all the same''' + freqs = self.freqs_specgram + speca, freqspeca, ta = mlab.specgram(x=self.y, + NFFT=self.NFFT_specgram, + Fs=self.Fs, + noverlap=self.nover_specgram, + pad_to=self.pad_to_specgram, + sides=self.sides) + specb, freqspecb, tb = mlab.specgram(x=self.y, + NFFT=self.NFFT_specgram, + Fs=self.Fs, + noverlap=self.nover_specgram, + pad_to=self.pad_to_specgram, + sides=self.sides, + mode='default') + assert_array_equal(speca, specb) + assert_array_equal(freqspeca, freqspecb) + assert_array_equal(ta, tb) + + def test_specgram_auto_psd_equal(self): '''test that mlab.specgram without mode and with mode 'default' and - 'density' are all the same''' - for ys, freqss in zip(self.y, self.freqs): - for y, fstims in zip(ys, self.fstimsall): - for side, freqs in zip(self.sides, freqss): - speca, freqspeca, ta = mlab.specgram(y, NFFT=self.NFFT, - Fs=self.Fs, - noverlap=self.nover, - pad_to=self.pad_to, - sides=side) - specb, freqspecb, tb = mlab.specgram(y, NFFT=self.NFFT, - Fs=self.Fs, - noverlap=self.nover, - pad_to=self.pad_to, - sides=side, - mode='default') - specc, freqspecc, tc = mlab.specgram(y, NFFT=self.NFFT, - Fs=self.Fs, - noverlap=self.nover, - pad_to=self.pad_to, - sides=side, - mode='density') - assert_array_equal(speca, specb) - assert_array_equal(speca, specc) - assert_array_equal(freqspeca, freqspecb) - assert_array_equal(freqspeca, freqspecc) - assert_array_equal(ta, tb) - assert_array_equal(ta, tc) - - def test_specgram_complex_mag_angle_phase_equivalent(self): - '''test that mlab.specgram with modes complex, magnitude, angle, - and phase can be properly converted to one another''' - for ys, freqss in zip(self.y, self.freqs): - for y, fstims in zip(ys, self.fstimsall): - for side, freqs in zip(self.sides, freqss): - specc, freqspecc, tc = mlab.specgram(y, NFFT=self.NFFT, - Fs=self.Fs, - noverlap=self.nover, - pad_to=self.pad_to, - sides=side, - mode='complex') - specm, freqspecm, tm = mlab.specgram(y, NFFT=self.NFFT, - Fs=self.Fs, - noverlap=self.nover, - pad_to=self.pad_to, - sides=side, - mode='magnitude') - speca, freqspeca, ta = mlab.specgram(y, NFFT=self.NFFT, - Fs=self.Fs, - noverlap=self.nover, - pad_to=self.pad_to, - sides=side, - mode='angle') - specp, freqspecp, tp = mlab.specgram(y, NFFT=self.NFFT, - Fs=self.Fs, - noverlap=self.nover, - pad_to=self.pad_to, - sides=side, - mode='phase') - - assert_array_equal(freqspecc, freqspecm) - assert_array_equal(freqspecc, freqspeca) - assert_array_equal(freqspecc, freqspecp) - - assert_array_equal(tc, tm) - assert_array_equal(tc, ta) - assert_array_equal(tc, tp) - - assert_allclose(np.abs(specc), specm, atol=1e-06) - assert_allclose(np.angle(specc), speca, atol=1e-06) - assert_allclose(np.unwrap(np.angle(specc), axis=0), specp, - atol=1e-06) - assert_allclose(np.unwrap(speca, axis=0), specp, - atol=1e-06) + 'psd' are all the same''' + freqs = self.freqs_specgram + speca, freqspeca, ta = mlab.specgram(x=self.y, + NFFT=self.NFFT_specgram, + Fs=self.Fs, + noverlap=self.nover_specgram, + pad_to=self.pad_to_specgram, + sides=self.sides) + specc, freqspecc, tc = mlab.specgram(x=self.y, + NFFT=self.NFFT_specgram, + Fs=self.Fs, + noverlap=self.nover_specgram, + pad_to=self.pad_to_specgram, + sides=self.sides, + mode='psd') + assert_array_equal(speca, specc) + assert_array_equal(freqspeca, freqspecc) + assert_array_equal(ta, tc) + + def test_specgram_complex_mag_equivalent(self): + freqs = self.freqs_specgram + specc, freqspecc, tc = mlab.specgram(x=self.y, + NFFT=self.NFFT_specgram, + Fs=self.Fs, + noverlap=self.nover_specgram, + pad_to=self.pad_to_specgram, + sides=self.sides, + mode='complex') + specm, freqspecm, tm = mlab.specgram(x=self.y, + NFFT=self.NFFT_specgram, + Fs=self.Fs, + noverlap=self.nover_specgram, + pad_to=self.pad_to_specgram, + sides=self.sides, + mode='magnitude') + + assert_array_equal(freqspecc, freqspecm) + assert_array_equal(tc, tm) + assert_allclose(np.abs(specc), specm, atol=1e-06) + + def test_specgram_complex_angle_equivalent(self): + freqs = self.freqs_specgram + specc, freqspecc, tc = mlab.specgram(x=self.y, + NFFT=self.NFFT_specgram, + Fs=self.Fs, + noverlap=self.nover_specgram, + pad_to=self.pad_to_specgram, + sides=self.sides, + mode='complex') + speca, freqspeca, ta = mlab.specgram(x=self.y, + NFFT=self.NFFT_specgram, + Fs=self.Fs, + noverlap=self.nover_specgram, + pad_to=self.pad_to_specgram, + sides=self.sides, + mode='angle') + + assert_array_equal(freqspecc, freqspeca) + assert_array_equal(tc, ta) + assert_allclose(np.angle(specc), speca, atol=1e-06) + + def test_specgram_complex_phase_equivalent(self): + freqs = self.freqs_specgram + specc, freqspecc, tc = mlab.specgram(x=self.y, + NFFT=self.NFFT_specgram, + Fs=self.Fs, + noverlap=self.nover_specgram, + pad_to=self.pad_to_specgram, + sides=self.sides, + mode='complex') + specp, freqspecp, tp = mlab.specgram(x=self.y, + NFFT=self.NFFT_specgram, + Fs=self.Fs, + noverlap=self.nover_specgram, + pad_to=self.pad_to_specgram, + sides=self.sides, + mode='phase') + + assert_array_equal(freqspecc, freqspecp) + assert_array_equal(tc, tp) + assert_allclose(np.unwrap(np.angle(specc), axis=0), specp, + atol=1e-06) + + def test_specgram_angle_phase_equivalent(self): + freqs = self.freqs_specgram + speca, freqspeca, ta = mlab.specgram(x=self.y, + NFFT=self.NFFT_specgram, + Fs=self.Fs, + noverlap=self.nover_specgram, + pad_to=self.pad_to_specgram, + sides=self.sides, + mode='angle') + specp, freqspecp, tp = mlab.specgram(x=self.y, + NFFT=self.NFFT_specgram, + Fs=self.Fs, + noverlap=self.nover_specgram, + pad_to=self.pad_to_specgram, + sides=self.sides, + mode='phase') + + assert_array_equal(freqspeca, freqspecp) + assert_array_equal(ta, tp) + assert_allclose(np.unwrap(speca, axis=0), specp, + atol=1e-06) + + def test_psd_windowarray_equal(self): + freqs = self.freqs_density + win = mlab.window_hanning(np.ones(self.NFFT_density_real)) + speca, fspa = mlab.psd(x=self.y, + NFFT=self.NFFT_density, + Fs=self.Fs, + noverlap=self.nover_density, + pad_to=self.pad_to_density, + sides=self.sides, + window=win) + specb, fspb = mlab.psd(x=self.y, + NFFT=self.NFFT_density, + Fs=self.Fs, + noverlap=self.nover_density, + pad_to=self.pad_to_density, + sides=self.sides) + assert_array_equal(fspa, fspb) + assert_allclose(speca, specb, atol=1e-08) + + +class spectral_testcase_nosig_real_twosided( + spectral_testcase_nosig_real_onesided): + def setUp(self): + self.createStim(fstims=[], + iscomplex=False, sides='twosided', nsides=2) + + +class spectral_testcase_nosig_real_defaultsided( + spectral_testcase_nosig_real_onesided): + def setUp(self): + self.createStim(fstims=[], + iscomplex=False, sides='default', nsides=1) + + +class spectral_testcase_nosig_complex_onesided( + spectral_testcase_nosig_real_onesided): + def setUp(self): + self.createStim(fstims=[], + iscomplex=True, sides='onesided', nsides=1) + + +class spectral_testcase_nosig_complex_twosided( + spectral_testcase_nosig_real_onesided): + def setUp(self): + self.createStim(fstims=[], + iscomplex=True, sides='twosided', nsides=2) + + +class spectral_testcase_nosig_complex_defaultsided( + spectral_testcase_nosig_real_onesided): + def setUp(self): + self.createStim(fstims=[], + iscomplex=True, sides='default', nsides=2) + + +class spectral_testcase_Fs4_real_onesided( + spectral_testcase_nosig_real_onesided): + def setUp(self): + self.createStim(fstims=[4], + iscomplex=False, sides='onesided', nsides=1) + + +class spectral_testcase_Fs4_real_twosided( + spectral_testcase_nosig_real_onesided): + def setUp(self): + self.createStim(fstims=[4], + iscomplex=False, sides='twosided', nsides=2) + + +class spectral_testcase_Fs4_real_defaultsided( + spectral_testcase_nosig_real_onesided): + def setUp(self): + self.createStim(fstims=[4], + iscomplex=False, sides='default', nsides=1) + + +class spectral_testcase_Fs4_complex_onesided( + spectral_testcase_nosig_real_onesided): + def setUp(self): + self.createStim(fstims=[4], + iscomplex=True, sides='onesided', nsides=1) + + +class spectral_testcase_Fs4_complex_twosided( + spectral_testcase_nosig_real_onesided): + def setUp(self): + self.createStim(fstims=[4], + iscomplex=True, sides='twosided', nsides=2) + + +class spectral_testcase_Fs4_complex_defaultsided( + spectral_testcase_nosig_real_onesided): + def setUp(self): + self.createStim(fstims=[4], + iscomplex=True, sides='default', nsides=2) + + +class spectral_testcase_FsAll_real_onesided( + spectral_testcase_nosig_real_onesided): + def setUp(self): + self.createStim(fstims=[4, 5, 10], + iscomplex=False, sides='onesided', nsides=1) + + +class spectral_testcase_FsAll_real_twosided( + spectral_testcase_nosig_real_onesided): + def setUp(self): + self.createStim(fstims=[4, 5, 10], + iscomplex=False, sides='twosided', nsides=2) + + +class spectral_testcase_FsAll_real_defaultsided( + spectral_testcase_nosig_real_onesided): + def setUp(self): + self.createStim(fstims=[4, 5, 10], + iscomplex=False, sides='default', nsides=1) + + +class spectral_testcase_FsAll_complex_onesided( + spectral_testcase_nosig_real_onesided): + def setUp(self): + self.createStim(fstims=[4, 5, 10], + iscomplex=True, sides='onesided', nsides=1) + + +class spectral_testcase_FsAll_complex_twosided( + spectral_testcase_nosig_real_onesided): + def setUp(self): + self.createStim(fstims=[4, 5, 10], + iscomplex=True, sides='twosided', nsides=2) + + +class spectral_testcase_FsAll_complex_defaultsided( + spectral_testcase_nosig_real_onesided): + def setUp(self): + self.createStim(fstims=[4, 5, 10], + iscomplex=True, sides='default', nsides=2) + + +class spectral_testcase_nosig_real_onesided_noNFFT( + spectral_testcase_nosig_real_onesided): + def setUp(self): + self.createStim(fstims=[], + NFFT_density=None, pad_to_spectrum=None, + iscomplex=False, sides='onesided', nsides=1) + + +class spectral_testcase_nosig_real_twosided_noNFFT( + spectral_testcase_nosig_real_onesided): + def setUp(self): + self.createStim(fstims=[], + NFFT_density=None, pad_to_spectrum=None, + iscomplex=False, sides='twosided', nsides=2) + + +class spectral_testcase_nosig_real_defaultsided_noNFFT( + spectral_testcase_nosig_real_onesided): + def setUp(self): + self.createStim(fstims=[], + NFFT_density=None, pad_to_spectrum=None, + iscomplex=False, sides='default', nsides=1) + + +class spectral_testcase_nosig_complex_onesided_noNFFT( + spectral_testcase_nosig_real_onesided): + def setUp(self): + self.createStim(fstims=[], + NFFT_density=None, pad_to_spectrum=None, + iscomplex=True, sides='onesided', nsides=1) + + +class spectral_testcase_nosig_complex_twosided_noNFFT( + spectral_testcase_nosig_real_onesided): + def setUp(self): + self.createStim(fstims=[], + NFFT_density=None, pad_to_spectrum=None, + iscomplex=True, sides='twosided', nsides=2) + + +class spectral_testcase_nosig_complex_defaultsided_noNFFT( + spectral_testcase_nosig_real_onesided): + def setUp(self): + self.createStim(fstims=[], + NFFT_density=None, pad_to_spectrum=None, + iscomplex=True, sides='default', nsides=2) + + +class spectral_testcase_nosig_real_onesided_nopad_to( + spectral_testcase_nosig_real_onesided): + def setUp(self): + self.createStim(fstims=[], + pad_to_density=None, pad_to_spectrum=None, + iscomplex=False, sides='onesided', nsides=1) + + +class spectral_testcase_nosig_real_twosided_nopad_to( + spectral_testcase_nosig_real_onesided): + def setUp(self): + self.createStim(fstims=[], + pad_to_density=None, pad_to_spectrum=None, + iscomplex=False, sides='twosided', nsides=2) + + +class spectral_testcase_nosig_real_defaultsided_nopad_to( + spectral_testcase_nosig_real_onesided): + def setUp(self): + self.createStim(fstims=[], + pad_to_density=None, pad_to_spectrum=None, + iscomplex=False, sides='default', nsides=1) + + +class spectral_testcase_nosig_complex_onesided_nopad_to( + spectral_testcase_nosig_real_onesided): + def setUp(self): + self.createStim(fstims=[], + pad_to_density=None, pad_to_spectrum=None, + iscomplex=True, sides='onesided', nsides=1) + + +class spectral_testcase_nosig_complex_twosided_nopad_to( + spectral_testcase_nosig_real_onesided): + def setUp(self): + self.createStim(fstims=[], + NFFT_density=None, + pad_to_density=None, pad_to_spectrum=None, + iscomplex=True, sides='twosided', nsides=2) + + +class spectral_testcase_nosig_complex_defaultsided_nopad_to( + spectral_testcase_nosig_real_onesided): + def setUp(self): + self.createStim(fstims=[], + NFFT_density=None, + pad_to_density=None, pad_to_spectrum=None, + iscomplex=True, sides='default', nsides=2) + + +class spectral_testcase_nosig_real_onesided_noNFFT_no_pad_to( + spectral_testcase_nosig_real_onesided): + def setUp(self): + self.createStim(fstims=[], + NFFT_density=None, + pad_to_density=None, pad_to_spectrum=None, + iscomplex=False, sides='onesided', nsides=1) + + +class spectral_testcase_nosig_real_twosided_noNFFT_no_pad_to( + spectral_testcase_nosig_real_onesided): + def setUp(self): + self.createStim(fstims=[], + NFFT_density=None, + pad_to_density=None, pad_to_spectrum=None, + iscomplex=False, sides='twosided', nsides=2) + + +class spectral_testcase_nosig_real_defaultsided_noNFFT_no_pad_to( + spectral_testcase_nosig_real_onesided): + def setUp(self): + self.createStim(fstims=[], + NFFT_density=None, + pad_to_density=None, pad_to_spectrum=None, + iscomplex=False, sides='default', nsides=1) + + +class spectral_testcase_nosig_complex_onesided_noNFFT_no_pad_to( + spectral_testcase_nosig_real_onesided): + def setUp(self): + self.createStim(fstims=[], + NFFT_density=None, + pad_to_density=None, pad_to_spectrum=None, + iscomplex=True, sides='onesided', nsides=1) + + +class spectral_testcase_nosig_complex_twosided_noNFFT_no_pad_to( + spectral_testcase_nosig_real_onesided): + def setUp(self): + self.createStim(fstims=[], + NFFT_density=None, + pad_to_density=None, pad_to_spectrum=None, + iscomplex=True, sides='twosided', nsides=2) + + +class spectral_testcase_nosig_complex_defaultsided_noNFFT_no_pad_to( + spectral_testcase_nosig_real_onesided): + def setUp(self): + self.createStim(fstims=[], + NFFT_density=None, + pad_to_density=None, pad_to_spectrum=None, + iscomplex=True, sides='default', nsides=2) + + +class spectral_testcase_nosig_real_onesided_trim( + spectral_testcase_nosig_real_onesided): + def setUp(self): + self.createStim(fstims=[], + len_x=256, + NFFT_density=512, pad_to_spectrum=128, + iscomplex=False, sides='onesided', nsides=1) + + +class spectral_testcase_nosig_real_twosided_trim( + spectral_testcase_nosig_real_onesided): + def setUp(self): + self.createStim(fstims=[], + len_x=256, + NFFT_density=512, pad_to_spectrum=128, + iscomplex=False, sides='twosided', nsides=2) + + +class spectral_testcase_nosig_real_defaultsided_trim( + spectral_testcase_nosig_real_onesided): + def setUp(self): + self.createStim(fstims=[], + len_x=256, + NFFT_density=512, pad_to_spectrum=128, + iscomplex=False, sides='default', nsides=1) + + +class spectral_testcase_nosig_complex_onesided_trim( + spectral_testcase_nosig_real_onesided): + def setUp(self): + self.createStim(fstims=[], + len_x=256, + NFFT_density=512, pad_to_spectrum=128, + iscomplex=True, sides='onesided', nsides=1) + + +class spectral_testcase_nosig_complex_twosided_trim( + spectral_testcase_nosig_real_onesided): + def setUp(self): + self.createStim(fstims=[], + len_x=256, + NFFT_density=512, pad_to_spectrum=128, + iscomplex=True, sides='twosided', nsides=2) + + +class spectral_testcase_nosig_complex_defaultsided_trim( + spectral_testcase_nosig_real_onesided): + def setUp(self): + self.createStim(fstims=[], + len_x=256, + NFFT_density=128, pad_to_spectrum=128, + iscomplex=True, sides='default', nsides=2) + + +class spectral_testcase_nosig_real_onesided_odd( + spectral_testcase_nosig_real_onesided): + def setUp(self): + self.createStim(fstims=[], + len_x=256, + pad_to_density=33, pad_to_spectrum=257, + iscomplex=False, sides='onesided', nsides=1) + + +class spectral_testcase_nosig_real_twosided_odd( + spectral_testcase_nosig_real_onesided): + def setUp(self): + self.createStim(fstims=[], + len_x=256, + pad_to_density=33, pad_to_spectrum=257, + iscomplex=False, sides='twosided', nsides=2) + + +class spectral_testcase_nosig_real_defaultsided_odd( + spectral_testcase_nosig_real_onesided): + def setUp(self): + self.createStim(fstims=[], + len_x=256, + pad_to_density=33, pad_to_spectrum=257, + iscomplex=False, sides='default', nsides=1) + + +class spectral_testcase_nosig_complex_onesided_odd( + spectral_testcase_nosig_real_onesided): + def setUp(self): + self.createStim(fstims=[], + len_x=256, + pad_to_density=33, pad_to_spectrum=257, + iscomplex=True, sides='onesided', nsides=1) + + +class spectral_testcase_nosig_complex_twosided_odd( + spectral_testcase_nosig_real_onesided): + def setUp(self): + self.createStim(fstims=[], + len_x=256, + pad_to_density=33, pad_to_spectrum=257, + iscomplex=True, sides='twosided', nsides=2) + + +class spectral_testcase_nosig_complex_defaultsided_odd( + spectral_testcase_nosig_real_onesided): + def setUp(self): + self.createStim(fstims=[], + len_x=256, + pad_to_density=33, pad_to_spectrum=257, + iscomplex=True, sides='default', nsides=2) + + +class spectral_testcase_nosig_real_onesided_oddlen( + spectral_testcase_nosig_real_onesided): + def setUp(self): + self.createStim(fstims=[], + len_x=255, + NFFT_density=33, pad_to_spectrum=None, + iscomplex=False, sides='onesided', nsides=1) + + +class spectral_testcase_nosig_real_twosided_oddlen( + spectral_testcase_nosig_real_onesided): + def setUp(self): + self.createStim(fstims=[], + len_x=255, + NFFT_density=33, pad_to_spectrum=None, + iscomplex=False, sides='twosided', nsides=2) + + +class spectral_testcase_nosig_real_defaultsided_oddlen( + spectral_testcase_nosig_real_onesided): + def setUp(self): + self.createStim(fstims=[], + len_x=255, + NFFT_density=33, pad_to_spectrum=None, + iscomplex=False, sides='default', nsides=1) + + +class spectral_testcase_nosig_complex_onesided_oddlen( + spectral_testcase_nosig_real_onesided): + def setUp(self): + self.createStim(fstims=[], + len_x=255, + NFFT_density=33, pad_to_spectrum=None, + iscomplex=True, sides='onesided', nsides=1) + + +class spectral_testcase_nosig_complex_twosided_oddlen( + spectral_testcase_nosig_real_onesided): + def setUp(self): + self.createStim(fstims=[], + len_x=255, + NFFT_density=33, pad_to_spectrum=None, + iscomplex=True, sides='twosided', nsides=2) + + +class spectral_testcase_nosig_complex_defaultsided_oddlen( + spectral_testcase_nosig_real_onesided): + def setUp(self): + self.createStim(fstims=[], + len_x=255, + NFFT_density=128, pad_to_spectrum=None, + iscomplex=True, sides='default', nsides=2) + + +class spectral_testcase_nosig_real_onesided_stretch( + spectral_testcase_nosig_real_onesided): + def setUp(self): + self.createStim(fstims=[], + len_x=128, + NFFT_density=128, + pad_to_density=256, pad_to_spectrum=256, + iscomplex=False, sides='onesided', nsides=1) + + +class spectral_testcase_nosig_real_twosided_stretch( + spectral_testcase_nosig_real_onesided): + def setUp(self): + self.createStim(fstims=[], + len_x=128, + NFFT_density=128, + pad_to_density=256, pad_to_spectrum=256, + iscomplex=False, sides='twosided', nsides=2) + + +class spectral_testcase_nosig_real_defaultsided_stretch( + spectral_testcase_nosig_real_onesided): + def setUp(self): + self.createStim(fstims=[], + len_x=128, + NFFT_density=128, + pad_to_density=256, pad_to_spectrum=256, + iscomplex=False, sides='default', nsides=1) + + +class spectral_testcase_nosig_complex_onesided_stretch( + spectral_testcase_nosig_real_onesided): + def setUp(self): + self.createStim(fstims=[], + len_x=128, + NFFT_density=128, + pad_to_density=256, pad_to_spectrum=256, + iscomplex=True, sides='onesided', nsides=1) + + +class spectral_testcase_nosig_complex_twosided_stretch( + spectral_testcase_nosig_real_onesided): + def setUp(self): + self.createStim(fstims=[], + len_x=128, + NFFT_density=128, + pad_to_density=256, pad_to_spectrum=256, + iscomplex=True, sides='twosided', nsides=2) + + +class spectral_testcase_nosig_complex_defaultsided_stretch( + spectral_testcase_nosig_real_onesided): + def setUp(self): + self.createStim(fstims=[], + len_x=128, + NFFT_density=128, + pad_to_density=256, pad_to_spectrum=256, + iscomplex=True, sides='default', nsides=2) + + +class spectral_testcase_nosig_real_onesided_overlap( + spectral_testcase_nosig_real_onesided): + def setUp(self): + self.createStim(fstims=[], + nover_density=32, + iscomplex=False, sides='onesided', nsides=1) + + +class spectral_testcase_nosig_real_twosided_overlap( + spectral_testcase_nosig_real_onesided): + def setUp(self): + self.createStim(fstims=[], + nover_density=32, + iscomplex=False, sides='twosided', nsides=2) + + +class spectral_testcase_nosig_real_defaultsided_overlap( + spectral_testcase_nosig_real_onesided): + def setUp(self): + self.createStim(fstims=[], + nover_density=32, + iscomplex=False, sides='default', nsides=1) + + +class spectral_testcase_nosig_complex_onesided_overlap( + spectral_testcase_nosig_real_onesided): + def setUp(self): + self.createStim(fstims=[], + nover_density=32, + iscomplex=True, sides='onesided', nsides=1) + + +class spectral_testcase_nosig_complex_twosided_overlap( + spectral_testcase_nosig_real_onesided): + def setUp(self): + self.createStim(fstims=[], + nover_density=32, + iscomplex=True, sides='twosided', nsides=2) + + +class spectral_testcase_nosig_complex_defaultsided_overlap( + spectral_testcase_nosig_real_onesided): + def setUp(self): + self.createStim(fstims=[], + nover_density=32, + iscomplex=True, sides='default', nsides=2) if __name__ == '__main__': import nose - nose.runmodule(argv=['-s', '--with-doctest'], exit=False) + import sys + + args = ['-s', '--with-doctest'] + argv = sys.argv + argv = argv[:1] + args + argv[1:] + nose.runmodule(argv=argv, exit=False) From 7fc90de7387bd7511c520f485aeb50d162f554aa Mon Sep 17 00:00:00 2001 From: Todd Jennings Date: Sun, 6 Oct 2013 10:16:28 +0200 Subject: [PATCH 6/9] add more spectral plots and add new spectrum types to specgram in _axes --- boilerplate.py | 3 + lib/matplotlib/axes/_axes.py | 534 ++++++++++++++++++++++++++++++----- lib/matplotlib/pyplot.py | 110 ++++++-- 3 files changed, 560 insertions(+), 87 deletions(-) diff --git a/boilerplate.py b/boilerplate.py index e802d835cea4..a7e59fa16ce7 100644 --- a/boilerplate.py +++ b/boilerplate.py @@ -98,6 +98,7 @@ def boilerplate_gen(): # name. _plotcommands = ( 'acorr', + 'angle_spectrum', 'arrow', 'axhline', 'axhspan', @@ -123,8 +124,10 @@ def boilerplate_gen(): 'hlines', 'imshow', 'loglog', + 'magnitude_spectrum', 'pcolor', 'pcolormesh', + 'phase_spectrum', 'pie', 'plot', 'plot_date', diff --git a/lib/matplotlib/axes/_axes.py b/lib/matplotlib/axes/_axes.py index da8d32eb7f8d..de0fe33d7fb4 100644 --- a/lib/matplotlib/axes/_axes.py +++ b/lib/matplotlib/axes/_axes.py @@ -5563,9 +5563,9 @@ def hist2d(self, x, y, bins=10, range=None, normed=False, weights=None, return h, xedges, yedges, pc @docstring.dedent_interpd - def psd(self, x, NFFT=256, Fs=2, Fc=0, detrend=mlab.detrend_none, - window=mlab.window_hanning, noverlap=0, pad_to=None, - sides='default', scale_by_freq=None, **kwargs): + def psd(self, x, NFFT=None, Fs=None, Fc=None, detrend=None, + window=None, noverlap=None, pad_to=None, + sides=None, scale_by_freq=None, return_line=None, **kwargs): """ Plot the power spectral density. @@ -5573,22 +5573,28 @@ def psd(self, x, NFFT=256, Fs=2, Fc=0, detrend=mlab.detrend_none, psd(x, NFFT=256, Fs=2, Fc=0, detrend=mlab.detrend_none, window=mlab.window_hanning, noverlap=0, pad_to=None, - sides='default', scale_by_freq=None, **kwargs) + sides='default', scale_by_freq=None, return_line=None, **kwargs) - The power spectral density by Welch's average periodogram - method. The vector *x* is divided into *NFFT* length + The power spectral density :math:`P_{xx}` by Welch's average + periodogram method. The vector *x* is divided into *NFFT* length segments. Each segment is detrended by function *detrend* and windowed by function *window*. *noverlap* gives the length of the overlap between segments. The :math:`|\mathrm{fft}(i)|^2` - of each segment :math:`i` are averaged to compute *Pxx*, with a - scaling to correct for power loss due to windowing. *Fs* is the - sampling frequency. + of each segment :math:`i` are averaged to compute :math:`P_{xx}`, + with a scaling to correct for power loss due to windowing. + + If len(*x*) < *NFFT*, it will be zero padded to *NFFT*. + + *x*: 1-D array or sequence + Array or sequence containing the data + + %(Spectral)s %(PSD)s *noverlap*: integer - The number of points of overlap between blocks. The default value - is 0 (no overlap). + The number of points of overlap between segments. + The default value is 0 (no overlap). *Fc*: integer The center frequency of *x* (defaults to 0), which offsets @@ -5596,7 +5602,23 @@ def psd(self, x, NFFT=256, Fs=2, Fc=0, detrend=mlab.detrend_none, when a signal is acquired and then filtered and downsampled to baseband. - Returns the tuple (*Pxx*, *freqs*). + *return_line*: bool + Whether to include the line object plotted in the returned values. + Default is False. + + If *return_line* is False, returns the tuple (*Pxx*, *freqs*). + If *return_line* is True, returns the tuple (*Pxx*, *freqs*. *line*): + + *Pxx*: 1-D array + The values for the power spectrum `P_{xx}` before scaling + (real valued) + + *freqs*: 1-D array + The frequencies corresponding to the elements in *Pxx* + + *line*: a :class:`~matplotlib.lines.Line2D` instance + The line created by this function. + Only returend if *return_line* is True. For plotting, the power is plotted as :math:`10\log_{10}(P_{xx})` for decibels, though *Pxx* itself @@ -5613,11 +5635,30 @@ def psd(self, x, NFFT=256, Fs=2, Fc=0, detrend=mlab.detrend_none, **Example:** .. plot:: mpl_examples/pylab_examples/psd_demo.py + + .. seealso:: + + :func:`specgram` + :func:`specgram` differs in the default overlap; in not + returning the mean of the segment periodograms; in returning + the times of the segments; and in plotting a colormap instead + of a line. + + :func:`magnitude_spectrum` + :func:`magnitude_spectrum` plots the magnitude spectrum. + + :func:`csd` + :func:`csd` plots the spectral density between two signals. """ if not self._hold: self.cla() - pxx, freqs = mlab.psd(x, NFFT, Fs, detrend, window, noverlap, pad_to, - sides, scale_by_freq) + + if Fc is None: + Fc = 0 + + pxx, freqs = mlab.psd(x=x, NFFT=NFFT, Fs=Fs, detrend=detrend, + window=window, noverlap=noverlap, pad_to=pad_to, + sides=sides, scale_by_freq=scale_by_freq) pxx.shape = len(freqs), freqs += Fc @@ -5626,7 +5667,7 @@ def psd(self, x, NFFT=256, Fs=2, Fc=0, detrend=mlab.detrend_none, else: psd_units = 'dB' - self.plot(freqs, 10 * np.log10(pxx), **kwargs) + line = self.plot(freqs, 10 * np.log10(pxx), **kwargs) self.set_xlabel('Frequency') self.set_ylabel('Power Spectral Density (%s)' % psd_units) self.grid(True) @@ -5640,38 +5681,46 @@ def psd(self, x, NFFT=256, Fs=2, Fc=0, detrend=mlab.detrend_none, ticks = np.arange(math.floor(vmin), math.ceil(vmax) + 1, step) self.set_yticks(ticks) - return pxx, freqs + if return_line is None or not return_line: + return pxx, freqs + else: + return pxx, freqs, line @docstring.dedent_interpd - def csd(self, x, y, NFFT=256, Fs=2, Fc=0, detrend=mlab.detrend_none, - window=mlab.window_hanning, noverlap=0, pad_to=None, - sides='default', scale_by_freq=None, **kwargs): + def csd(self, x, y, NFFT=None, Fs=None, Fc=None, detrend=None, + window=None, noverlap=None, pad_to=None, + sides=None, scale_by_freq=None, return_line=None, **kwargs): """ - Plot cross-spectral density. + Plot the cross-spectral density. Call signature:: csd(x, y, NFFT=256, Fs=2, Fc=0, detrend=mlab.detrend_none, window=mlab.window_hanning, noverlap=0, pad_to=None, - sides='default', scale_by_freq=None, **kwargs) + sides='default', scale_by_freq=None, return_line=None, **kwargs) The cross spectral density :math:`P_{xy}` by Welch's average periodogram method. The vectors *x* and *y* are divided into *NFFT* length segments. Each segment is detrended by function - *detrend* and windowed by function *window*. The product of + *detrend* and windowed by function *window*. *noverlap* gives + the length of the overlap between segments. The product of the direct FFTs of *x* and *y* are averaged over each segment to compute :math:`P_{xy}`, with a scaling to correct for power loss due to windowing. - Returns the tuple (*Pxy*, *freqs*). *P* is the cross spectrum - (complex valued), and :math:`10\log_{10}|P_{xy}|` is - plotted. + If len(*x*) < *NFFT* or len(*y*) < *NFFT*, they will be zero + padded to *NFFT*. + + *x*, *y*: 1-D arrays or sequences + Arrays or sequences containing the data + + %(Spectral)s %(PSD)s *noverlap*: integer - The number of points of overlap between blocks. The - default value is 0 (no overlap). + The number of points of overlap between segments. + The default value is 0 (no overlap). *Fc*: integer The center frequency of *x* (defaults to 0), which offsets @@ -5679,6 +5728,28 @@ def csd(self, x, y, NFFT=256, Fs=2, Fc=0, detrend=mlab.detrend_none, when a signal is acquired and then filtered and downsampled to baseband. + *return_line*: bool + Whether to include the line object plotted in the returned values. + Default is False. + + If *return_line* is False, returns the tuple (*Pxy*, *freqs*). + If *return_line* is True, returns the tuple (*Pxy*, *freqs*. *line*): + + *Pxy*: 1-D array + The values for the cross spectrum `P_{xy}` before scaling + (complex valued) + + *freqs*: 1-D array + The frequencies corresponding to the elements in *Pxy* + + *line*: a :class:`~matplotlib.lines.Line2D` instance + The line created by this function. + Only returend if *return_line* is True. + + For plotting, the power is plotted as + :math:`10\log_{10}(P_{xy})` for decibels, though `P_{xy}` itself + is returned. + References: Bendat & Piersol -- Random Data: Analysis and Measurement Procedures, John Wiley & Sons (1986) @@ -5691,20 +5762,25 @@ def csd(self, x, y, NFFT=256, Fs=2, Fc=0, detrend=mlab.detrend_none, .. plot:: mpl_examples/pylab_examples/csd_demo.py - .. seealso: + .. seealso:: - :meth:`psd` - For a description of the optional parameters. + :func:`psd` + :func:`psd` is the equivalent to setting y=x. """ if not self._hold: self.cla() - pxy, freqs = mlab.csd(x, y, NFFT, Fs, detrend, window, noverlap, - pad_to, sides, scale_by_freq) + + if Fc is None: + Fc = 0 + + pxy, freqs = mlab.csd(x=x, y=y, NFFT=NFFT, Fs=Fs, detrend=detrend, + window=window, noverlap=noverlap, pad_to=pad_to, + sides=sides, scale_by_freq=scale_by_freq) pxy.shape = len(freqs), # pxy is complex freqs += Fc - self.plot(freqs, 10 * np.log10(np.absolute(pxy)), **kwargs) + line = self.plot(freqs, 10 * np.log10(np.absolute(pxy)), **kwargs) self.set_xlabel('Frequency') self.set_ylabel('Cross Spectrum Magnitude (dB)') self.grid(True) @@ -5716,7 +5792,263 @@ def csd(self, x, y, NFFT=256, Fs=2, Fc=0, detrend=mlab.detrend_none, ticks = np.arange(math.floor(vmin), math.ceil(vmax) + 1, step) self.set_yticks(ticks) - return pxy, freqs + if return_line is None or not return_line: + return pxy, freqs + else: + return pxy, freqs, line + + @docstring.dedent_interpd + def magnitude_spectrum(self, x, Fs=None, Fc=None, window=None, + pad_to=None, sides=None, scale=None, + **kwargs): + """ + Plot the magnitude spectrum. + + Call signature:: + + magnitude_spectrum(x, Fs=2, Fc=0, window=mlab.window_hanning, + pad_to=None, sides='default', **kwargs) + + Compute the magnitude spectrum of *x*. Data is padded to a + length of *pad_to* and the windowing function *window* is applied to + the signal. + + *x*: 1-D array or sequence + Array or sequence containing the data + + %(Spectral)s + + %(Single_Spectrum)s + + *scale*: [ 'default' | 'linear' | 'dB' ] + The scaling of the values in the *spec*. 'linear' is no scaling. + 'dB' returns the values in dB scale. When *mode* is 'density', + this is dB power (10 * log10). Otherwise this is dB amplitude + (20 * log10). 'default' is 'linear'. + + *Fc*: integer + The center frequency of *x* (defaults to 0), which offsets + the x extents of the plot to reflect the frequency range used + when a signal is acquired and then filtered and downsampled to + baseband. + + Returns the tuple (*spectrum*, *freqs*, *line*): + + *spectrum*: 1-D array + The values for the magnitude spectrum before scaling (real valued) + + *freqs*: 1-D array + The frequencies corresponding to the elements in *spectrum* + + *line*: a :class:`~matplotlib.lines.Line2D` instance + The line created by this function + + kwargs control the :class:`~matplotlib.lines.Line2D` properties: + + %(Line2D)s + + **Example:** + + .. plot:: mpl_examples/pylab_examples/spectrum_demo.py + + .. seealso:: + + :func:`psd` + :func:`psd` plots the power spectral density.`. + + :func:`angle_spectrum` + :func:`angle_spectrum` plots the angles of the corresponding + frequencies. + + :func:`phase_spectrum` + :func:`phase_spectrum` plots the phase (unwrapped angle) of the + corresponding frequencies. + + :func:`specgram` + :func:`specgram` can plot the magnitude spectrum of segments + within the signal in a colormap. + """ + if not self._hold: + self.cla() + + if Fc is None: + Fc = 0 + + if scale is None or scale == 'default': + scale = 'linear' + + spec, freqs = mlab.magnitude_spectrum(x=x, Fs=Fs, window=window, + pad_to=pad_to, sides=sides) + freqs += Fc + + if scale == 'linear': + Z = spec + yunits = 'energy' + elif scale == 'dB': + Z = 20. * np.log10(spec) + yunits = 'dB' + else: + raise ValueError('Unknown scale %s', scale) + + lines = self.plot(freqs, Z, **kwargs) + self.set_xlabel('Frequency') + self.set_ylabel('Magnitude (%s)' % yunits) + + return spec, freqs, lines[0] + + @docstring.dedent_interpd + def angle_spectrum(self, x, Fs=None, Fc=None, window=None, + pad_to=None, sides=None, **kwargs): + """ + Plot the angle spectrum. + + Call signature:: + + angle_spectrum(x, Fs=2, Fc=0, window=mlab.window_hanning, + pad_to=None, sides='default', **kwargs) + + Compute the angle spectrum (wrapped phase spectrum) of *x*. + Data is padded to a length of *pad_to* and the windowing function + *window* is applied to the signal. + + *x*: 1-D array or sequence + Array or sequence containing the data + + %(Spectral)s + + %(Single_Spectrum)s + + *Fc*: integer + The center frequency of *x* (defaults to 0), which offsets + the x extents of the plot to reflect the frequency range used + when a signal is acquired and then filtered and downsampled to + baseband. + + Returns the tuple (*spectrum*, *freqs*, *line*): + + *spectrum*: 1-D array + The values for the angle spectrum in radians (real valued) + + *freqs*: 1-D array + The frequencies corresponding to the elements in *spectrum* + + *line*: a :class:`~matplotlib.lines.Line2D` instance + The line created by this function + + kwargs control the :class:`~matplotlib.lines.Line2D` properties: + + %(Line2D)s + + **Example:** + + .. plot:: mpl_examples/pylab_examples/spectrum_demo.py + + .. seealso:: + + :func:`magnitude_spectrum` + :func:`angle_spectrum` plots the magnitudes of the + corresponding frequencies. + + :func:`phase_spectrum` + :func:`phase_spectrum` plots the unwrapped version of this + function. + + :func:`specgram` + :func:`specgram` can plot the angle spectrum of segments + within the signal in a colormap. + """ + if not self._hold: + self.cla() + + if Fc is None: + Fc = 0 + + spec, freqs = mlab.angle_spectrum(x=x, Fs=Fs, window=window, + pad_to=pad_to, sides=sides) + freqs += Fc + + lines = self.plot(freqs, spec, **kwargs) + self.set_xlabel('Frequency') + self.set_ylabel('Angle (radians)') + + return spec, freqs, lines[0] + + @docstring.dedent_interpd + def phase_spectrum(self, x, Fs=None, Fc=None, window=None, + pad_to=None, sides=None, **kwargs): + """ + Plot the phase spectrum. + + Call signature:: + + phase_spectrum(x, Fs=2, Fc=0, window=mlab.window_hanning, + pad_to=None, sides='default', **kwargs) + + Compute the phase spectrum (unwrapped angle spectrum) of *x*. + Data is padded to a length of *pad_to* and the windowing function + *window* is applied to the signal. + + *x*: 1-D array or sequence + Array or sequence containing the data + + %(Spectral)s + + %(Single_Spectrum)s + + *Fc*: integer + The center frequency of *x* (defaults to 0), which offsets + the x extents of the plot to reflect the frequency range used + when a signal is acquired and then filtered and downsampled to + baseband. + + Returns the tuple (*spectrum*, *freqs*, *line*): + + *spectrum*: 1-D array + The values for the phase spectrum in radians (real valued) + + *freqs*: 1-D array + The frequencies corresponding to the elements in *spectrum* + + *line*: a :class:`~matplotlib.lines.Line2D` instance + The line created by this function + + kwargs control the :class:`~matplotlib.lines.Line2D` properties: + + %(Line2D)s + + **Example:** + + .. plot:: mpl_examples/pylab_examples/spectrum_demo.py + + .. seealso:: + + :func:`magnitude_spectrum` + :func:`magnitude_spectrum` plots the magnitudes of the + corresponding frequencies. + + :func:`angle_spectrum` + :func:`angle_spectrum` plots the wrapped version of this + function. + + :func:`specgram` + :func:`specgram` can plot the phase spectrum of segments + within the signal in a colormap. + """ + if not self._hold: + self.cla() + + if Fc is None: + Fc = 0 + + spec, freqs = mlab.phase_spectrum(x=x, Fs=Fs, window=window, + pad_to=pad_to, sides=sides) + freqs += Fc + + lines = self.plot(freqs, spec, **kwargs) + self.set_xlabel('Frequency') + self.set_ylabel('Phase (radians)') + + return spec, freqs, lines[0] @docstring.dedent_interpd def cohere(self, x, y, NFFT=256, Fs=2, Fc=0, detrend=mlab.detrend_none, @@ -5738,6 +6070,8 @@ def cohere(self, x, y, NFFT=256, Fs=2, Fc=0, detrend=mlab.detrend_none, C_{xy} = \\frac{|P_{xy}|^2}{P_{xx}P_{yy}} + %(Spectral)s + %(PSD)s *noverlap*: integer @@ -5771,8 +6105,9 @@ def cohere(self, x, y, NFFT=256, Fs=2, Fc=0, detrend=mlab.detrend_none, """ if not self._hold: self.cla() - cxy, freqs = mlab.cohere(x, y, NFFT, Fs, detrend, window, noverlap, - scale_by_freq) + cxy, freqs = mlab.cohere(x=x, y=y, NFFT=NFFT, Fs=Fs, detrend=detrend, + window=window, noverlap=noverlap, + scale_by_freq=scale_by_freq) freqs += Fc self.plot(freqs, cxy, **kwargs) @@ -5783,10 +6118,11 @@ def cohere(self, x, y, NFFT=256, Fs=2, Fc=0, detrend=mlab.detrend_none, return cxy, freqs @docstring.dedent_interpd - def specgram(self, x, NFFT=256, Fs=2, Fc=0, detrend=mlab.detrend_none, - window=mlab.window_hanning, noverlap=128, - cmap=None, xextent=None, pad_to=None, sides='default', - scale_by_freq=None, **kwargs): + def specgram(self, x, NFFT=None, Fs=None, Fc=None, detrend=None, + window=None, noverlap=None, + cmap=None, xextent=None, pad_to=None, sides=None, + scale_by_freq=None, mode=None, scale=None, + vmin=None, vmax=None, **kwargs): """ Plot a spectrogram. @@ -5795,24 +6131,45 @@ def specgram(self, x, NFFT=256, Fs=2, Fc=0, detrend=mlab.detrend_none, specgram(x, NFFT=256, Fs=2, Fc=0, detrend=mlab.detrend_none, window=mlab.window_hanning, noverlap=128, cmap=None, xextent=None, pad_to=None, sides='default', - scale_by_freq=None, **kwargs) + scale_by_freq=None, mode='default', scale='default', + **kwargs) Compute and plot a spectrogram of data in *x*. Data are split into - *NFFT* length segments and the PSD of each section is + *NFFT* length segments and the spectrum of each section is computed. The windowing function *window* is applied to each segment, and the amount of overlap of each segment is - specified with *noverlap*. The spectrogram is plotted in decibels - as a colormap (using imshow). + specified with *noverlap*. The spectrogram is plotted as a colormap + (using imshow). + + *x*: 1-D array or sequence + Array or sequence containing the data + + %(Spectral)s %(PSD)s + *mode*: [ 'default' | 'psd' | 'magnitude' | 'angle' | 'phase' ] + What sort of spectrum to use. Default is 'psd'. which takes + the power spectral density. 'complex' returns the complex-valued + frequency spectrum. 'magnitude' returns the magnitude spectrum. + 'angle' returns the phase spectrum without unwrapping. 'phase' + returns the phase spectrum with unwrapping. + *noverlap*: integer The number of points of overlap between blocks. The default value is 128. + *scale*: [ 'default' | 'linear' | 'dB' ] + The scaling of the values in the *spec*. 'linear' is no scaling. + 'dB' returns the values in dB scale. When *mode* is 'psd', + this is dB power (10 * log10). Otherwise this is dB amplitude + (20 * log10). 'default' is 'dB' if *mode* is 'psd' or + 'magnitude' and 'linear' otherwise. This must be 'linear' + if *mode* is 'angle' or 'phase'. + *Fc*: integer The center frequency of *x* (defaults to 0), which offsets - the y extents of the plot to reflect the frequency range used + the x extents of the plot to reflect the frequency range used when a signal is acquired and then filtered and downsampled to baseband. @@ -5826,49 +6183,98 @@ def specgram(self, x, NFFT=256, Fs=2, Fc=0, detrend=mlab.detrend_none, value from :func:`~matplotlib.mlab.specgram` *kwargs*: - Additional kwargs are passed on to imshow which makes the specgram image - Return value is (*Pxx*, *freqs*, *bins*, *im*): + .. note:: - - *bins* are the time points the spectrogram is calculated over - - *freqs* is an array of frequencies - - *Pxx* is an array of shape `(len(times), len(freqs))` of power - - *im* is a :class:`~matplotlib.image.AxesImage` instance + *detrend* and *scale_by_freq* only apply when *mode* is set to + 'psd' - .. note:: + Returns the tuple (*spectrum*, *freqs*, *t*, *im*): + + *spectrum*: 2-D array + columns are the periodograms of successive segments + + *freqs*: 1-D array + The frequencies corresponding to the rows in *spectrum* - If *x* is real (i.e. non-complex), only the positive - spectrum is shown. If *x* is complex, both positive and - negative parts of the spectrum are shown. This can be - overridden using the *sides* keyword argument. + *t*: 1-D array + The times corresponding to midpoints of segments (i.e the columns + in *spectrum*) - Also note that while the plot is in dB, the *Pxx* array returned is - linear in power. + *im*: instance of class :class:`~matplotlib.image.AxesImage` + The image created by imshow containing the spectrogram **Example:** .. plot:: mpl_examples/pylab_examples/specgram_demo.py + + .. seealso:: + + :func:`psd` + :func:`psd` differs in the default overlap; in returning + the mean of the segment periodograms; in not returning + times; and in generating a line plot instead of colormap. + + :func:`magnitude_spectrum` + A single spectrum, similar to having a single segment when + *mode* is 'magnitude'. Plots a line instead of a colormap. + + :func:`angle_spectrum` + A single spectrum, similar to having a single segment when + *mode* is 'angle'. Plots a line instead of a colormap. + + :func:`phase_spectrum` + A single spectrum, similar to having a single segment when + *mode* is 'phase'. Plots a line instead of a colormap. """ if not self._hold: self.cla() - Pxx, freqs, bins = mlab.specgram(x, NFFT, Fs, detrend, - window, noverlap, pad_to, sides, scale_by_freq) + if Fc is None: + Fc = 0 + + if mode == 'complex': + raise ValueError('Cannot plot a complex specgram') + + if scale is None or scale == 'default': + if mode in ['angle', 'phase']: + scale = 'linear' + else: + scale = 'dB' + elif mode in ['angle', 'phase'] and scale == 'dB': + raise ValueError('Cannot use dB scale with angle or phase mode') + + spec, freqs, t = mlab.specgram(x=x, NFFT=NFFT, Fs=Fs, + detrend=detrend, window=window, + noverlap=noverlap, pad_to=pad_to, + sides=sides, + scale_by_freq=scale_by_freq, + mode=mode) + + if scale == 'linear': + Z = spec + elif scale == 'dB': + if mode is None or mode == 'default' or mode == 'psd': + Z = 10. * np.log10(spec) + else: + Z = 20. * np.log10(spec) + else: + raise ValueError('Unknown scale %s', scale) - Z = 10. * np.log10(Pxx) Z = np.flipud(Z) if xextent is None: - xextent = 0, np.amax(bins) + xextent = 0, np.amax(t) xmin, xmax = xextent freqs += Fc extent = xmin, xmax, freqs[0], freqs[-1] - im = self.imshow(Z, cmap, extent=extent, **kwargs) + im = self.imshow(Z, cmap, extent=extent, vmin=vmin, vmax=vmax, + **kwargs) self.axis('auto') - return Pxx, freqs, bins, im + return spec, freqs, t, im def spy(self, Z, precision=0, marker=None, markersize=None, aspect='equal', **kwargs): diff --git a/lib/matplotlib/pyplot.py b/lib/matplotlib/pyplot.py index c017177b6782..d69ea44cb934 100644 --- a/lib/matplotlib/pyplot.py +++ b/lib/matplotlib/pyplot.py @@ -2419,6 +2419,26 @@ def acorr(x, hold=None, **kwargs): return ret +# This function was autogenerated by boilerplate.py. Do not edit as +# changes will be lost +@_autogen_docstring(Axes.angle_spectrum) +def angle_spectrum(x, Fs=None, Fc=None, window=None, pad_to=None, sides=None, + hold=None, **kwargs): + ax = gca() + # allow callers to override the hold state by passing hold=True|False + washold = ax.ishold() + + if hold is not None: + ax.hold(hold) + try: + ret = ax.angle_spectrum(x, Fs=Fs, Fc=Fc, window=window, pad_to=pad_to, + sides=sides, **kwargs) + draw_if_interactive() + finally: + ax.hold(washold) + + return ret + # This function was autogenerated by boilerplate.py. Do not edit as # changes will be lost @_autogen_docstring(Axes.arrow) @@ -2590,8 +2610,8 @@ def boxplot(x, notch=False, sym='b+', vert=True, whis=1.5, positions=None, # changes will be lost @_autogen_docstring(Axes.cohere) def cohere(x, y, NFFT=256, Fs=2, Fc=0, detrend=mlab.detrend_none, - window=mlab.window_hanning, noverlap=0, pad_to=None, sides='default', - scale_by_freq=None, hold=None, **kwargs): + window=mlab.window_hanning, noverlap=0, pad_to=None, + sides='default', scale_by_freq=None, hold=None, **kwargs): ax = gca() # allow callers to override the hold state by passing hold=True|False washold = ax.ishold() @@ -2665,9 +2685,9 @@ def contourf(*args, **kwargs): # This function was autogenerated by boilerplate.py. Do not edit as # changes will be lost @_autogen_docstring(Axes.csd) -def csd(x, y, NFFT=256, Fs=2, Fc=0, detrend=mlab.detrend_none, - window=mlab.window_hanning, noverlap=0, pad_to=None, sides='default', - scale_by_freq=None, hold=None, **kwargs): +def csd(x, y, NFFT=None, Fs=None, Fc=None, detrend=None, window=None, + noverlap=None, pad_to=None, sides=None, scale_by_freq=None, + return_line=None, hold=None, **kwargs): ax = gca() # allow callers to override the hold state by passing hold=True|False washold = ax.ishold() @@ -2677,7 +2697,8 @@ def csd(x, y, NFFT=256, Fs=2, Fc=0, detrend=mlab.detrend_none, try: ret = ax.csd(x, y, NFFT=NFFT, Fs=Fs, Fc=Fc, detrend=detrend, window=window, noverlap=noverlap, pad_to=pad_to, - sides=sides, scale_by_freq=scale_by_freq, **kwargs) + sides=sides, scale_by_freq=scale_by_freq, + return_line=return_line, **kwargs) draw_if_interactive() finally: ax.hold(washold) @@ -2712,9 +2733,9 @@ def errorbar(x, y, yerr=None, xerr=None, fmt='-', ecolor=None, elinewidth=None, # This function was autogenerated by boilerplate.py. Do not edit as # changes will be lost @_autogen_docstring(Axes.eventplot) -def eventplot(positions, orientation='horizontal', lineoffsets=1, linelengths=1, - linewidths=None, colors=None, linestyles='solid', hold=None, - **kwargs): +def eventplot(positions, orientation='horizontal', lineoffsets=1, + linelengths=1, linewidths=None, colors=None, linestyles='solid', + hold=None, **kwargs): ax = gca() # allow callers to override the hold state by passing hold=True|False washold = ax.ishold() @@ -2862,8 +2883,8 @@ def hist2d(x, y, bins=10, range=None, normed=False, weights=None, cmin=None, # This function was autogenerated by boilerplate.py. Do not edit as # changes will be lost @_autogen_docstring(Axes.hlines) -def hlines(y, xmin, xmax, colors='k', linestyles='solid', label='', hold=None, - **kwargs): +def hlines(y, xmin, xmax, colors='k', linestyles='solid', label='', + hold=None, **kwargs): ax = gca() # allow callers to override the hold state by passing hold=True|False washold = ax.ishold() @@ -2922,6 +2943,27 @@ def loglog(*args, **kwargs): return ret +# This function was autogenerated by boilerplate.py. Do not edit as +# changes will be lost +@_autogen_docstring(Axes.magnitude_spectrum) +def magnitude_spectrum(x, Fs=None, Fc=None, window=None, pad_to=None, + sides=None, scale=None, hold=None, **kwargs): + ax = gca() + # allow callers to override the hold state by passing hold=True|False + washold = ax.ishold() + + if hold is not None: + ax.hold(hold) + try: + ret = ax.magnitude_spectrum(x, Fs=Fs, Fc=Fc, window=window, + pad_to=pad_to, sides=sides, scale=scale, + **kwargs) + draw_if_interactive() + finally: + ax.hold(washold) + + return ret + # This function was autogenerated by boilerplate.py. Do not edit as # changes will be lost @_autogen_docstring(Axes.pcolor) @@ -2958,6 +3000,26 @@ def pcolormesh(*args, **kwargs): sci(ret) return ret +# This function was autogenerated by boilerplate.py. Do not edit as +# changes will be lost +@_autogen_docstring(Axes.phase_spectrum) +def phase_spectrum(x, Fs=None, Fc=None, window=None, pad_to=None, sides=None, + hold=None, **kwargs): + ax = gca() + # allow callers to override the hold state by passing hold=True|False + washold = ax.ishold() + + if hold is not None: + ax.hold(hold) + try: + ret = ax.phase_spectrum(x, Fs=Fs, Fc=Fc, window=window, pad_to=pad_to, + sides=sides, **kwargs) + draw_if_interactive() + finally: + ax.hold(washold) + + return ret + # This function was autogenerated by boilerplate.py. Do not edit as # changes will be lost @_autogen_docstring(Axes.pie) @@ -3022,9 +3084,9 @@ def plot_date(x, y, fmt='bo', tz=None, xdate=True, ydate=False, hold=None, # This function was autogenerated by boilerplate.py. Do not edit as # changes will be lost @_autogen_docstring(Axes.psd) -def psd(x, NFFT=256, Fs=2, Fc=0, detrend=mlab.detrend_none, - window=mlab.window_hanning, noverlap=0, pad_to=None, sides='default', - scale_by_freq=None, hold=None, **kwargs): +def psd(x, NFFT=None, Fs=None, Fc=None, detrend=None, window=None, + noverlap=None, pad_to=None, sides=None, scale_by_freq=None, + return_line=None, hold=None, **kwargs): ax = gca() # allow callers to override the hold state by passing hold=True|False washold = ax.ishold() @@ -3034,7 +3096,8 @@ def psd(x, NFFT=256, Fs=2, Fc=0, detrend=mlab.detrend_none, try: ret = ax.psd(x, NFFT=NFFT, Fs=Fs, Fc=Fc, detrend=detrend, window=window, noverlap=noverlap, pad_to=pad_to, - sides=sides, scale_by_freq=scale_by_freq, **kwargs) + sides=sides, scale_by_freq=scale_by_freq, + return_line=return_line, **kwargs) draw_if_interactive() finally: ax.hold(washold) @@ -3138,10 +3201,10 @@ def semilogy(*args, **kwargs): # This function was autogenerated by boilerplate.py. Do not edit as # changes will be lost @_autogen_docstring(Axes.specgram) -def specgram(x, NFFT=256, Fs=2, Fc=0, detrend=mlab.detrend_none, - window=mlab.window_hanning, noverlap=128, cmap=None, xextent=None, - pad_to=None, sides='default', scale_by_freq=None, hold=None, - **kwargs): +def specgram(x, NFFT=None, Fs=None, Fc=None, detrend=None, window=None, + noverlap=None, cmap=None, xextent=None, pad_to=None, sides=None, + scale_by_freq=None, mode=None, scale=None, vmin=None, vmax=None, + hold=None, **kwargs): ax = gca() # allow callers to override the hold state by passing hold=True|False washold = ax.ishold() @@ -3152,7 +3215,8 @@ def specgram(x, NFFT=256, Fs=2, Fc=0, detrend=mlab.detrend_none, ret = ax.specgram(x, NFFT=NFFT, Fs=Fs, Fc=Fc, detrend=detrend, window=window, noverlap=noverlap, cmap=cmap, xextent=xextent, pad_to=pad_to, sides=sides, - scale_by_freq=scale_by_freq, **kwargs) + scale_by_freq=scale_by_freq, mode=mode, scale=scale, + vmin=vmin, vmax=vmax, **kwargs) draw_if_interactive() finally: ax.hold(washold) @@ -3218,7 +3282,7 @@ def step(x, y, *args, **kwargs): @_autogen_docstring(Axes.streamplot) def streamplot(x, y, u, v, density=1, linewidth=None, color=None, cmap=None, norm=None, arrowsize=1, arrowstyle='-|>', minlength=0.1, - transform=None, hold=None, zorder=1): + transform=None, zorder=1, hold=None): ax = gca() # allow callers to override the hold state by passing hold=True|False washold = ax.ishold() @@ -3312,8 +3376,8 @@ def triplot(*args, **kwargs): # This function was autogenerated by boilerplate.py. Do not edit as # changes will be lost @_autogen_docstring(Axes.vlines) -def vlines(x, ymin, ymax, colors='k', linestyles='solid', label='', hold=None, - **kwargs): +def vlines(x, ymin, ymax, colors='k', linestyles='solid', label='', + hold=None, **kwargs): ax = gca() # allow callers to override the hold state by passing hold=True|False washold = ax.ishold() From c89ce08c767eff13a1c83d6b5c9f5db2bae702c2 Mon Sep 17 00:00:00 2001 From: Todd Jennings Date: Sun, 6 Oct 2013 10:16:55 +0200 Subject: [PATCH 7/9] add tests for new spectrum types in _axes --- .../test_axes/angle_spectrum_freqs.png | Bin 0 -> 17182 bytes .../test_axes/angle_spectrum_noise.png | Bin 0 -> 33417 bytes .../test_axes/magnitude_spectrum_freqs_dB.png | Bin 0 -> 19858 bytes .../magnitude_spectrum_freqs_linear.png | Bin 0 -> 7935 bytes .../test_axes/magnitude_spectrum_noise_dB.png | Bin 0 -> 42353 bytes .../magnitude_spectrum_noise_linear.png | Bin 0 -> 15172 bytes .../test_axes/phase_spectrum_freqs.png | Bin 0 -> 13058 bytes .../test_axes/phase_spectrum_noise.png | Bin 0 -> 26241 bytes .../test_axes/specgram_angle_freqs.png | Bin 0 -> 619125 bytes .../test_axes/specgram_angle_noise.png | Bin 0 -> 96428 bytes .../test_axes/specgram_freqs_linear.png | Bin 0 -> 189769 bytes .../test_axes/specgram_magnitude_freqs.png | Bin 0 -> 189111 bytes .../specgram_magnitude_freqs_linear.png | Bin 0 -> 189111 bytes .../test_axes/specgram_magnitude_noise.png | Bin 0 -> 63497 bytes .../specgram_magnitude_noise_linear.png | Bin 0 -> 63497 bytes .../test_axes/specgram_noise_linear.png | Bin 0 -> 64999 bytes .../test_axes/specgram_phase_freqs.png | Bin 0 -> 53589 bytes .../test_axes/specgram_phase_noise.png | Bin 0 -> 24537 bytes lib/matplotlib/tests/test_axes.py | 746 ++++++++++++++++-- 19 files changed, 693 insertions(+), 53 deletions(-) create mode 100644 lib/matplotlib/tests/baseline_images/test_axes/angle_spectrum_freqs.png create mode 100644 lib/matplotlib/tests/baseline_images/test_axes/angle_spectrum_noise.png create mode 100644 lib/matplotlib/tests/baseline_images/test_axes/magnitude_spectrum_freqs_dB.png create mode 100644 lib/matplotlib/tests/baseline_images/test_axes/magnitude_spectrum_freqs_linear.png create mode 100644 lib/matplotlib/tests/baseline_images/test_axes/magnitude_spectrum_noise_dB.png create mode 100644 lib/matplotlib/tests/baseline_images/test_axes/magnitude_spectrum_noise_linear.png create mode 100644 lib/matplotlib/tests/baseline_images/test_axes/phase_spectrum_freqs.png create mode 100644 lib/matplotlib/tests/baseline_images/test_axes/phase_spectrum_noise.png create mode 100644 lib/matplotlib/tests/baseline_images/test_axes/specgram_angle_freqs.png create mode 100644 lib/matplotlib/tests/baseline_images/test_axes/specgram_angle_noise.png create mode 100644 lib/matplotlib/tests/baseline_images/test_axes/specgram_freqs_linear.png create mode 100644 lib/matplotlib/tests/baseline_images/test_axes/specgram_magnitude_freqs.png create mode 100644 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import datetime import numpy as np @@ -1441,9 +1440,11 @@ def test_subplot_key_hash(): assert_equal((5, 1, 0, None), ax.get_subplotspec().get_geometry()) -@image_comparison(baseline_images=['specgram_freqs'], remove_text=True, - extensions=['png']) +@image_comparison(baseline_images=['specgram_freqs', + 'specgram_freqs_linear'], + remove_text=True, extensions=['png']) def test_specgram_freqs(): + '''test axes.specgram in default (psd) mode with sinusoidal stimuli''' n = 10000 Fs = 100. @@ -1463,22 +1464,142 @@ def test_specgram_freqs(): y2 += np.sin(fstim2 * x * np.pi * 2) y = np.hstack([y1, y2]) - fig = plt.figure() - ax1 = fig.add_subplot(3, 1, 1) - ax2 = fig.add_subplot(3, 1, 2) - ax3 = fig.add_subplot(3, 1, 3) + fig1 = plt.figure() + fig2 = plt.figure() + + ax11 = fig1.add_subplot(3, 1, 1) + ax12 = fig1.add_subplot(3, 1, 2) + ax13 = fig1.add_subplot(3, 1, 3) + + ax21 = fig2.add_subplot(3, 1, 1) + ax22 = fig2.add_subplot(3, 1, 2) + ax23 = fig2.add_subplot(3, 1, 3) + + spec11 = ax11.specgram(y, NFFT=NFFT, Fs=Fs, noverlap=noverlap, + pad_to=pad_to, sides='default') + spec12 = ax12.specgram(y, NFFT=NFFT, Fs=Fs, noverlap=noverlap, + pad_to=pad_to, sides='onesided') + spec13 = ax13.specgram(y, NFFT=NFFT, Fs=Fs, noverlap=noverlap, + pad_to=pad_to, sides='twosided') + + spec21 = ax21.specgram(y, NFFT=NFFT, Fs=Fs, noverlap=noverlap, + pad_to=pad_to, sides='default', + scale='linear', norm=matplotlib.colors.LogNorm()) + spec22 = ax22.specgram(y, NFFT=NFFT, Fs=Fs, noverlap=noverlap, + pad_to=pad_to, sides='onesided', + scale='linear', norm=matplotlib.colors.LogNorm()) + spec23 = ax23.specgram(y, NFFT=NFFT, Fs=Fs, noverlap=noverlap, + pad_to=pad_to, sides='twosided', + scale='linear', norm=matplotlib.colors.LogNorm()) + + +@image_comparison(baseline_images=['specgram_noise', + 'specgram_noise_linear'], + remove_text=True, extensions=['png']) +def test_specgram_noise(): + '''test axes.specgram in default (psd) mode with noise stimuli''' + np.random.seed(0) - spec1 = ax1.specgram(y, NFFT=NFFT, Fs=Fs, noverlap=noverlap, pad_to=pad_to, - sides='default') - spec2 = ax2.specgram(y, NFFT=NFFT, Fs=Fs, noverlap=noverlap, pad_to=pad_to, - sides='onesided') - spec3 = ax3.specgram(y, NFFT=NFFT, Fs=Fs, noverlap=noverlap, pad_to=pad_to, - sides='twosided') + n = 10000 + Fs = 100. + NFFT = int(1000 * Fs / 11) + noverlap = int(NFFT / 2) + pad_to = int(2 ** np.ceil(np.log2(NFFT))) -@image_comparison(baseline_images=['specgram_noise'], remove_text=True, - extensions=['png']) -def test_specgram_noise(): + y1 = np.random.standard_normal(n) + y2 = np.random.rand(n) + y = np.hstack([y1, y2]) + + fig1 = plt.figure() + fig2 = plt.figure() + + ax11 = fig1.add_subplot(3, 1, 1) + ax12 = fig1.add_subplot(3, 1, 2) + ax13 = fig1.add_subplot(3, 1, 3) + + ax21 = fig2.add_subplot(3, 1, 1) + ax22 = fig2.add_subplot(3, 1, 2) + ax23 = fig2.add_subplot(3, 1, 3) + + spec11 = ax11.specgram(y, NFFT=NFFT, Fs=Fs, noverlap=noverlap, + pad_to=pad_to, sides='default') + spec12 = ax12.specgram(y, NFFT=NFFT, Fs=Fs, noverlap=noverlap, + pad_to=pad_to, sides='onesided') + spec13 = ax13.specgram(y, NFFT=NFFT, Fs=Fs, noverlap=noverlap, + pad_to=pad_to, sides='twosided') + + spec21 = ax21.specgram(y, NFFT=NFFT, Fs=Fs, noverlap=noverlap, + pad_to=pad_to, sides='default', + scale='linear', norm=matplotlib.colors.LogNorm()) + spec22 = ax22.specgram(y, NFFT=NFFT, Fs=Fs, noverlap=noverlap, + pad_to=pad_to, sides='onesided', + scale='linear', norm=matplotlib.colors.LogNorm()) + spec23 = ax23.specgram(y, NFFT=NFFT, Fs=Fs, noverlap=noverlap, + pad_to=pad_to, sides='twosided', + scale='linear', norm=matplotlib.colors.LogNorm()) + + +@image_comparison(baseline_images=['specgram_magnitude_freqs', + 'specgram_magnitude_freqs_linear'], + remove_text=True, extensions=['png']) +def test_specgram_magnitude_freqs(): + '''test axes.specgram in magnitude mode with sinusoidal stimuli''' + n = 10000 + Fs = 100. + + fstims1 = [Fs/4, Fs/5, Fs/11] + fstims2 = [Fs/4.7, Fs/5.6, Fs/11.9] + + NFFT = int(1000 * Fs / min(fstims1 + fstims2)) + noverlap = int(NFFT / 2) + pad_to = int(2 ** np.ceil(np.log2(NFFT))) + + x = np.arange(0, n, 1/Fs) + + y1 = np.zeros(x.size) + y2 = np.zeros(x.size) + for i, (fstim1, fstim2) in enumerate(zip(fstims1, fstims2)): + y1 += np.sin(fstim1 * x * np.pi * 2) + y2 += np.sin(fstim2 * x * np.pi * 2) + y1[-1] = y1[-1]/y1[-1] + y2[-1] = y2[-1]/y2[-1] + y = np.hstack([y1, y2]) + + fig1 = plt.figure() + fig2 = plt.figure() + + ax11 = fig1.add_subplot(3, 1, 1) + ax12 = fig1.add_subplot(3, 1, 2) + ax13 = fig1.add_subplot(3, 1, 3) + + ax21 = fig2.add_subplot(3, 1, 1) + ax22 = fig2.add_subplot(3, 1, 2) + ax23 = fig2.add_subplot(3, 1, 3) + + spec11 = ax11.specgram(y, NFFT=NFFT, Fs=Fs, noverlap=noverlap, + pad_to=pad_to, sides='default', mode='magnitude') + spec12 = ax12.specgram(y, NFFT=NFFT, Fs=Fs, noverlap=noverlap, + pad_to=pad_to, sides='onesided', mode='magnitude') + spec13 = ax13.specgram(y, NFFT=NFFT, Fs=Fs, noverlap=noverlap, + pad_to=pad_to, sides='twosided', mode='magnitude') + + spec21 = ax21.specgram(y, NFFT=NFFT, Fs=Fs, noverlap=noverlap, + pad_to=pad_to, sides='default', mode='magnitude', + scale='linear', norm=matplotlib.colors.LogNorm()) + spec22 = ax22.specgram(y, NFFT=NFFT, Fs=Fs, noverlap=noverlap, + pad_to=pad_to, sides='onesided', mode='magnitude', + scale='linear', norm=matplotlib.colors.LogNorm()) + spec23 = ax23.specgram(y, NFFT=NFFT, Fs=Fs, noverlap=noverlap, + pad_to=pad_to, sides='twosided', mode='magnitude', + scale='linear', norm=matplotlib.colors.LogNorm()) + + +@image_comparison(baseline_images=['specgram_magnitude_noise', + 'specgram_magnitude_noise_linear'], + remove_text=True, extensions=['png']) +def test_specgram_magnitude_noise(): + '''test axes.specgram in magnitude mode with noise stimuli''' np.random.seed(0) n = 10000 @@ -1492,22 +1613,246 @@ def test_specgram_noise(): y2 = np.random.rand(n) y = np.hstack([y1, y2]) - fig = plt.figure() - ax1 = fig.add_subplot(3, 1, 1) - ax2 = fig.add_subplot(3, 1, 2) - ax3 = fig.add_subplot(3, 1, 3) + fig1 = plt.figure() + fig2 = plt.figure() + + ax11 = fig1.add_subplot(3, 1, 1) + ax12 = fig1.add_subplot(3, 1, 2) + ax13 = fig1.add_subplot(3, 1, 3) + + ax21 = fig2.add_subplot(3, 1, 1) + ax22 = fig2.add_subplot(3, 1, 2) + ax23 = fig2.add_subplot(3, 1, 3) + + spec11 = ax11.specgram(y, NFFT=NFFT, Fs=Fs, noverlap=noverlap, + pad_to=pad_to, sides='default', mode='magnitude') + spec12 = ax12.specgram(y, NFFT=NFFT, Fs=Fs, noverlap=noverlap, + pad_to=pad_to, sides='onesided', mode='magnitude') + spec13 = ax13.specgram(y, NFFT=NFFT, Fs=Fs, noverlap=noverlap, + pad_to=pad_to, sides='twosided', mode='magnitude') + + spec21 = ax21.specgram(y, NFFT=NFFT, Fs=Fs, noverlap=noverlap, + pad_to=pad_to, sides='default', mode='magnitude', + scale='linear', norm=matplotlib.colors.LogNorm()) + spec22 = ax22.specgram(y, NFFT=NFFT, Fs=Fs, noverlap=noverlap, + pad_to=pad_to, sides='onesided', mode='magnitude', + scale='linear', norm=matplotlib.colors.LogNorm()) + spec23 = ax23.specgram(y, NFFT=NFFT, Fs=Fs, noverlap=noverlap, + pad_to=pad_to, sides='twosided', mode='magnitude', + scale='linear', norm=matplotlib.colors.LogNorm()) + + +@image_comparison(baseline_images=['specgram_angle_freqs'], + remove_text=True, extensions=['png']) +def test_specgram_angle_freqs(): + '''test axes.specgram in angle mode with sinusoidal stimuli''' + n = 10000 + Fs = 100. + + fstims1 = [Fs/4, Fs/5, Fs/11] + fstims2 = [Fs/4.7, Fs/5.6, Fs/11.9] + + NFFT = int(1000 * Fs / min(fstims1 + fstims2)) + noverlap = int(NFFT / 2) + pad_to = int(2 ** np.ceil(np.log2(NFFT))) + + x = np.arange(0, n, 1/Fs) + + y1 = np.zeros(x.size) + y2 = np.zeros(x.size) + for i, (fstim1, fstim2) in enumerate(zip(fstims1, fstims2)): + y1 += np.sin(fstim1 * x * np.pi * 2) + y2 += np.sin(fstim2 * x * np.pi * 2) + y1[-1] = y1[-1]/y1[-1] + y2[-1] = y2[-1]/y2[-1] + y = np.hstack([y1, y2]) + + fig1 = plt.figure() + + ax11 = fig1.add_subplot(3, 1, 1) + ax12 = fig1.add_subplot(3, 1, 2) + ax13 = fig1.add_subplot(3, 1, 3) + + ax11.hold(True) + ax12.hold(True) + ax13.hold(True) + + spec11 = ax11.specgram(y, NFFT=NFFT, Fs=Fs, noverlap=noverlap, + pad_to=pad_to, sides='default', mode='angle') + spec12 = ax12.specgram(y, NFFT=NFFT, Fs=Fs, noverlap=noverlap, + pad_to=pad_to, sides='onesided', mode='angle') + spec13 = ax13.specgram(y, NFFT=NFFT, Fs=Fs, noverlap=noverlap, + pad_to=pad_to, sides='twosided', mode='angle') + + assert_raises(ValueError, ax11.specgram, y, NFFT=NFFT, Fs=Fs, + noverlap=noverlap, pad_to=pad_to, sides='default', + mode='phase', scale='dB') + + assert_raises(ValueError, ax12.specgram, y, NFFT=NFFT, Fs=Fs, + noverlap=noverlap, pad_to=pad_to, sides='onesided', + mode='phase', scale='dB') + + assert_raises(ValueError, ax13.specgram, y, NFFT=NFFT, Fs=Fs, + noverlap=noverlap, pad_to=pad_to, sides='twosided', + mode='phase', scale='dB') + + +@image_comparison(baseline_images=['specgram_angle_noise'], + remove_text=True, extensions=['png']) +def test_specgram_noise_angle(): + '''test axes.specgram in angle mode with noise stimuli''' + np.random.seed(0) + + n = 10000 + Fs = 100. + + NFFT = int(1000 * Fs / 11) + noverlap = int(NFFT / 2) + pad_to = int(2 ** np.ceil(np.log2(NFFT))) + + y1 = np.random.standard_normal(n) + y2 = np.random.rand(n) + y = np.hstack([y1, y2]) + + fig1 = plt.figure() + + ax11 = fig1.add_subplot(3, 1, 1) + ax12 = fig1.add_subplot(3, 1, 2) + ax13 = fig1.add_subplot(3, 1, 3) + + ax11.hold(True) + ax12.hold(True) + ax13.hold(True) + + spec11 = ax11.specgram(y, NFFT=NFFT, Fs=Fs, noverlap=noverlap, + pad_to=pad_to, sides='default', mode='angle') + spec12 = ax12.specgram(y, NFFT=NFFT, Fs=Fs, noverlap=noverlap, + pad_to=pad_to, sides='onesided', mode='angle') + spec13 = ax13.specgram(y, NFFT=NFFT, Fs=Fs, noverlap=noverlap, + pad_to=pad_to, sides='twosided', mode='angle') + + assert_raises(ValueError, ax11.specgram, y, NFFT=NFFT, Fs=Fs, + noverlap=noverlap, pad_to=pad_to, sides='default', + mode='phase', scale='dB') + + assert_raises(ValueError, ax12.specgram, y, NFFT=NFFT, Fs=Fs, + noverlap=noverlap, pad_to=pad_to, sides='onesided', + mode='phase', scale='dB') + + assert_raises(ValueError, ax13.specgram, y, NFFT=NFFT, Fs=Fs, + noverlap=noverlap, pad_to=pad_to, sides='twosided', + mode='phase', scale='dB') + + +@image_comparison(baseline_images=['specgram_phase_freqs'], + remove_text=True, extensions=['png']) +def test_specgram_freqs_phase(): + '''test axes.specgram in phase mode with sinusoidal stimuli''' + n = 10000 + Fs = 100. + + fstims1 = [Fs/4, Fs/5, Fs/11] + fstims2 = [Fs/4.7, Fs/5.6, Fs/11.9] + + NFFT = int(1000 * Fs / min(fstims1 + fstims2)) + noverlap = int(NFFT / 2) + pad_to = int(2 ** np.ceil(np.log2(NFFT))) + + x = np.arange(0, n, 1/Fs) + + y1 = np.zeros(x.size) + y2 = np.zeros(x.size) + for i, (fstim1, fstim2) in enumerate(zip(fstims1, fstims2)): + y1 += np.sin(fstim1 * x * np.pi * 2) + y2 += np.sin(fstim2 * x * np.pi * 2) + y1[-1] = y1[-1]/y1[-1] + y2[-1] = y2[-1]/y2[-1] + y = np.hstack([y1, y2]) + + fig1 = plt.figure() + + ax11 = fig1.add_subplot(3, 1, 1) + ax12 = fig1.add_subplot(3, 1, 2) + ax13 = fig1.add_subplot(3, 1, 3) + + ax11.hold(True) + ax12.hold(True) + ax13.hold(True) + + spec11 = ax11.specgram(y, NFFT=NFFT, Fs=Fs, noverlap=noverlap, + pad_to=pad_to, sides='default', mode='phase') + spec12 = ax12.specgram(y, NFFT=NFFT, Fs=Fs, noverlap=noverlap, + pad_to=pad_to, sides='onesided', mode='phase') + spec13 = ax13.specgram(y, NFFT=NFFT, Fs=Fs, noverlap=noverlap, + pad_to=pad_to, sides='twosided', mode='phase') + + assert_raises(ValueError, ax11.specgram, y, NFFT=NFFT, Fs=Fs, + noverlap=noverlap, pad_to=pad_to, sides='default', + mode='phase', scale='dB') + + assert_raises(ValueError, ax12.specgram, y, NFFT=NFFT, Fs=Fs, + noverlap=noverlap, pad_to=pad_to, sides='onesided', + mode='phase', scale='dB') + + assert_raises(ValueError, ax13.specgram, y, NFFT=NFFT, Fs=Fs, + noverlap=noverlap, pad_to=pad_to, sides='twosided', + mode='phase', scale='dB') + + +@image_comparison(baseline_images=['specgram_phase_noise'], + remove_text=True, extensions=['png']) +def test_specgram_noise_phase(): + '''test axes.specgram in phase mode with noise stimuli''' + np.random.seed(0) + + n = 10000 + Fs = 100. + + NFFT = int(1000 * Fs / 11) + noverlap = int(NFFT / 2) + pad_to = int(2 ** np.ceil(np.log2(NFFT))) + + y1 = np.random.standard_normal(n) + y2 = np.random.rand(n) + y = np.hstack([y1, y2]) + + fig1 = plt.figure() + + ax11 = fig1.add_subplot(3, 1, 1) + ax12 = fig1.add_subplot(3, 1, 2) + ax13 = fig1.add_subplot(3, 1, 3) + + ax11.hold(True) + ax12.hold(True) + ax13.hold(True) + + spec11 = ax11.specgram(y, NFFT=NFFT, Fs=Fs, noverlap=noverlap, + pad_to=pad_to, sides='default', + mode='phase', ) + spec12 = ax12.specgram(y, NFFT=NFFT, Fs=Fs, noverlap=noverlap, + pad_to=pad_to, sides='onesided', + mode='phase', ) + spec13 = ax13.specgram(y, NFFT=NFFT, Fs=Fs, noverlap=noverlap, + pad_to=pad_to, sides='twosided', + mode='phase', ) - spec1 = ax1.specgram(y, NFFT=NFFT, Fs=Fs, noverlap=noverlap, pad_to=pad_to, - sides='default') - spec2 = ax2.specgram(y, NFFT=NFFT, Fs=Fs, noverlap=noverlap, pad_to=pad_to, - sides='onesided') - spec3 = ax3.specgram(y, NFFT=NFFT, Fs=Fs, noverlap=noverlap, pad_to=pad_to, - sides='twosided') + assert_raises(ValueError, ax11.specgram, y, NFFT=NFFT, Fs=Fs, + noverlap=noverlap, pad_to=pad_to, sides='default', + mode='phase', scale='dB') + + assert_raises(ValueError, ax12.specgram, y, NFFT=NFFT, Fs=Fs, + noverlap=noverlap, pad_to=pad_to, sides='onesided', + mode='phase', scale='dB') + + assert_raises(ValueError, ax13.specgram, y, NFFT=NFFT, Fs=Fs, + noverlap=noverlap, pad_to=pad_to, sides='twosided', + mode='phase', scale='dB') @image_comparison(baseline_images=['psd_freqs'], remove_text=True, extensions=['png']) def test_psd_freqs(): + '''test axes.psd with sinusoidal stimuli''' n = 10000 Fs = 100. @@ -1532,12 +1877,14 @@ def test_psd_freqs(): ax2 = fig.add_subplot(3, 1, 2) ax3 = fig.add_subplot(3, 1, 3) - psd1 = ax1.psd(y, NFFT=NFFT, Fs=Fs, noverlap=noverlap, pad_to=pad_to, - sides='default') - psd2 = ax2.psd(y, NFFT=NFFT, Fs=Fs, noverlap=noverlap, pad_to=pad_to, - sides='onesided') - psd3 = ax3.psd(y, NFFT=NFFT, Fs=Fs, noverlap=noverlap, pad_to=pad_to, - sides='twosided') + psd1, freqs1 = ax1.psd(y, NFFT=NFFT, Fs=Fs, noverlap=noverlap, + pad_to=pad_to, sides='default') + psd2, freqs2 = ax2.psd(y, NFFT=NFFT, Fs=Fs, noverlap=noverlap, + pad_to=pad_to, sides='onesided', + return_line=False) + psd3, freqs3, line3 = ax3.psd(y, NFFT=NFFT, Fs=Fs, noverlap=noverlap, + pad_to=pad_to, sides='twosided', + return_line=True) ax1.set_xlabel('') ax2.set_xlabel('') @@ -1550,6 +1897,7 @@ def test_psd_freqs(): @image_comparison(baseline_images=['psd_noise'], remove_text=True, extensions=['png']) def test_psd_noise(): + '''test axes.psd with noise stimuli''' np.random.seed(0) n = 10000 @@ -1568,12 +1916,14 @@ def test_psd_noise(): ax2 = fig.add_subplot(3, 1, 2) ax3 = fig.add_subplot(3, 1, 3) - psd1 = ax1.psd(y, NFFT=NFFT, Fs=Fs, noverlap=noverlap, pad_to=pad_to, - sides='default') - psd2 = ax2.psd(y, NFFT=NFFT, Fs=Fs, noverlap=noverlap, pad_to=pad_to, - sides='onesided') - psd3 = ax3.psd(y, NFFT=NFFT, Fs=Fs, noverlap=noverlap, pad_to=pad_to, - sides='twosided') + psd1, freqs1 = ax1.psd(y, NFFT=NFFT, Fs=Fs, noverlap=noverlap, + pad_to=pad_to, sides='default') + psd2, freqs2 = ax2.psd(y, NFFT=NFFT, Fs=Fs, noverlap=noverlap, + pad_to=pad_to, sides='onesided', + return_line=False) + psd3, freqs3, line3 = ax3.psd(y, NFFT=NFFT, Fs=Fs, noverlap=noverlap, + pad_to=pad_to, sides='twosided', + return_line=True) ax1.set_xlabel('') ax2.set_xlabel('') @@ -1586,6 +1936,7 @@ def test_psd_noise(): @image_comparison(baseline_images=['csd_freqs'], remove_text=True, extensions=['png']) def test_csd_freqs(): + '''test axes.csd with sinusoidal stimuli''' n = 10000 Fs = 100. @@ -1609,12 +1960,14 @@ def test_csd_freqs(): ax2 = fig.add_subplot(3, 1, 2) ax3 = fig.add_subplot(3, 1, 3) - csd1 = ax1.csd(y1, y2, NFFT=NFFT, Fs=Fs, noverlap=noverlap, pad_to=pad_to, - sides='default') - csd2 = ax2.csd(y1, y2, NFFT=NFFT, Fs=Fs, noverlap=noverlap, pad_to=pad_to, - sides='onesided') - csd3 = ax3.csd(y1, y2, NFFT=NFFT, Fs=Fs, noverlap=noverlap, pad_to=pad_to, - sides='twosided') + csd1, freqs1 = ax1.csd(y1, y2, NFFT=NFFT, Fs=Fs, noverlap=noverlap, + pad_to=pad_to, sides='default') + csd2, freqs2 = ax2.csd(y1, y2, NFFT=NFFT, Fs=Fs, noverlap=noverlap, + pad_to=pad_to, sides='onesided', + return_line=False) + csd3, freqs3, line3 = ax3.csd(y1, y2, NFFT=NFFT, Fs=Fs, noverlap=noverlap, + pad_to=pad_to, sides='twosided', + return_line=True) ax1.set_xlabel('') ax2.set_xlabel('') @@ -1627,6 +1980,7 @@ def test_csd_freqs(): @image_comparison(baseline_images=['csd_noise'], remove_text=True, extensions=['png']) def test_csd_noise(): + '''test axes.csd with noise stimuli''' np.random.seed(0) n = 10000 @@ -1644,12 +1998,293 @@ def test_csd_noise(): ax2 = fig.add_subplot(3, 1, 2) ax3 = fig.add_subplot(3, 1, 3) - csd1 = ax1.csd(y1, y2, NFFT=NFFT, Fs=Fs, noverlap=noverlap, pad_to=pad_to, - sides='default') - csd2 = ax2.csd(y1, y2, NFFT=NFFT, Fs=Fs, noverlap=noverlap, pad_to=pad_to, - sides='onesided') - csd3 = ax3.csd(y1, y2, NFFT=NFFT, Fs=Fs, noverlap=noverlap, pad_to=pad_to, - sides='twosided') + csd1, freqs1 = ax1.csd(y1, y2, NFFT=NFFT, Fs=Fs, noverlap=noverlap, + pad_to=pad_to, sides='default') + csd2, freqs2 = ax2.csd(y1, y2, NFFT=NFFT, Fs=Fs, noverlap=noverlap, + pad_to=pad_to, sides='onesided', + return_line=False) + csd3, freqs3, line3 = ax3.csd(y1, y2, NFFT=NFFT, Fs=Fs, noverlap=noverlap, + pad_to=pad_to, sides='twosided', + return_line=True) + + ax1.set_xlabel('') + ax2.set_xlabel('') + ax3.set_xlabel('') + ax1.set_ylabel('') + ax2.set_ylabel('') + ax3.set_ylabel('') + + +@image_comparison(baseline_images=['magnitude_spectrum_freqs_linear', + 'magnitude_spectrum_freqs_dB'], + remove_text=True, + extensions=['png']) +def test_magnitude_spectrum_freqs(): + '''test axes.magnitude_spectrum with sinusoidal stimuli''' + n = 10000 + Fs = 100. + + fstims1 = [Fs/4, Fs/5, Fs/11] + + NFFT = int(1000 * Fs / min(fstims1)) + pad_to = int(2 ** np.ceil(np.log2(NFFT))) + + x = np.arange(0, n, 1/Fs) + + y = np.zeros(x.size) + for i, fstim1 in enumerate(fstims1): + y += np.sin(fstim1 * x * np.pi * 2) * 10**i + y = y + + fig1 = plt.figure() + fig2 = plt.figure() + + ax11 = fig1.add_subplot(3, 1, 1) + ax12 = fig1.add_subplot(3, 1, 2) + ax13 = fig1.add_subplot(3, 1, 3) + + ax21 = fig2.add_subplot(3, 1, 1) + ax22 = fig2.add_subplot(3, 1, 2) + ax23 = fig2.add_subplot(3, 1, 3) + + spec11, freqs11, line11 = ax11.magnitude_spectrum(y, Fs=Fs, pad_to=pad_to, + sides='default') + spec12, freqs12, line12 = ax12.magnitude_spectrum(y, Fs=Fs, pad_to=pad_to, + sides='onesided') + spec13, freqs13, line13 = ax13.magnitude_spectrum(y, Fs=Fs, pad_to=pad_to, + sides='twosided') + + spec21, freqs21, line21 = ax21.magnitude_spectrum(y, Fs=Fs, pad_to=pad_to, + sides='default', + scale='dB') + spec22, freqs22, line22 = ax22.magnitude_spectrum(y, Fs=Fs, pad_to=pad_to, + sides='onesided', + scale='dB') + spec23, freqs23, line23 = ax23.magnitude_spectrum(y, Fs=Fs, pad_to=pad_to, + sides='twosided', + scale='dB') + + ax11.set_xlabel('') + ax12.set_xlabel('') + ax13.set_xlabel('') + ax11.set_ylabel('') + ax12.set_ylabel('') + ax13.set_ylabel('') + + ax21.set_xlabel('') + ax22.set_xlabel('') + ax23.set_xlabel('') + ax21.set_ylabel('') + ax22.set_ylabel('') + ax23.set_ylabel('') + + +@image_comparison(baseline_images=['magnitude_spectrum_noise_linear', + 'magnitude_spectrum_noise_dB'], + remove_text=True, + extensions=['png']) +def test_magnitude_spectrum_noise(): + '''test axes.magnitude_spectrum with noise stimuli''' + np.random.seed(0) + + n = 10000 + Fs = 100. + + NFFT = int(1000 * Fs / 11) + pad_to = int(2 ** np.ceil(np.log2(NFFT))) + + y1 = np.random.standard_normal(n) + y2 = np.random.rand(n) + y = np.hstack([y1, y2]) - .5 + + fig1 = plt.figure() + fig2 = plt.figure() + + ax11 = fig1.add_subplot(3, 1, 1) + ax12 = fig1.add_subplot(3, 1, 2) + ax13 = fig1.add_subplot(3, 1, 3) + + ax21 = fig2.add_subplot(3, 1, 1) + ax22 = fig2.add_subplot(3, 1, 2) + ax23 = fig2.add_subplot(3, 1, 3) + + spec11, freqs11, line11 = ax11.magnitude_spectrum(y, Fs=Fs, pad_to=pad_to, + sides='default') + spec12, freqs12, line12 = ax12.magnitude_spectrum(y, Fs=Fs, pad_to=pad_to, + sides='onesided') + spec13, freqs13, line13 = ax13.magnitude_spectrum(y, Fs=Fs, pad_to=pad_to, + sides='twosided') + + spec21, freqs21, line21 = ax21.magnitude_spectrum(y, Fs=Fs, pad_to=pad_to, + sides='default', + scale='dB') + spec22, freqs22, line22 = ax22.magnitude_spectrum(y, Fs=Fs, pad_to=pad_to, + sides='onesided', + scale='dB') + spec23, freqs23, line23 = ax23.magnitude_spectrum(y, Fs=Fs, pad_to=pad_to, + sides='twosided', + scale='dB') + + ax11.set_xlabel('') + ax12.set_xlabel('') + ax13.set_xlabel('') + ax11.set_ylabel('') + ax12.set_ylabel('') + ax13.set_ylabel('') + + ax21.set_xlabel('') + ax22.set_xlabel('') + ax23.set_xlabel('') + ax21.set_ylabel('') + ax22.set_ylabel('') + ax23.set_ylabel('') + + +@image_comparison(baseline_images=['angle_spectrum_freqs'], + remove_text=True, + extensions=['png']) +def test_angle_spectrum_freqs(): + '''test axes.angle_spectrum with sinusoidal stimuli''' + n = 10000 + Fs = 100. + + fstims1 = [Fs/4, Fs/5, Fs/11] + + NFFT = int(1000 * Fs / min(fstims1)) + pad_to = int(2 ** np.ceil(np.log2(NFFT))) + + x = np.arange(0, n, 1/Fs) + + y = np.zeros(x.size) + for i, fstim1 in enumerate(fstims1): + y += np.sin(fstim1 * x * np.pi * 2) * 10**i + y = y + + fig = plt.figure() + ax1 = fig.add_subplot(3, 1, 1) + ax2 = fig.add_subplot(3, 1, 2) + ax3 = fig.add_subplot(3, 1, 3) + + spec1, freqs1, line1 = ax1.angle_spectrum(y, Fs=Fs, pad_to=pad_to, + sides='default') + spec2, freqs2, line2 = ax2.angle_spectrum(y, Fs=Fs, pad_to=pad_to, + sides='onesided') + spec3, freqs3, line3 = ax3.angle_spectrum(y, Fs=Fs, pad_to=pad_to, + sides='twosided') + + ax1.set_xlabel('') + ax2.set_xlabel('') + ax3.set_xlabel('') + ax1.set_ylabel('') + ax2.set_ylabel('') + ax3.set_ylabel('') + + +@image_comparison(baseline_images=['angle_spectrum_noise'], + remove_text=True, + extensions=['png']) +def test_angle_spectrum_noise(): + '''test axes.angle_spectrum with noise stimuli''' + np.random.seed(0) + + n = 10000 + Fs = 100. + + NFFT = int(1000 * Fs / 11) + pad_to = int(2 ** np.ceil(np.log2(NFFT))) + + y1 = np.random.standard_normal(n) + y2 = np.random.rand(n) + y = np.hstack([y1, y2]) - .5 + + fig = plt.figure() + ax1 = fig.add_subplot(3, 1, 1) + ax2 = fig.add_subplot(3, 1, 2) + ax3 = fig.add_subplot(3, 1, 3) + + spec1, freqs1, line1 = ax1.angle_spectrum(y, Fs=Fs, pad_to=pad_to, + sides='default') + spec2, freqs2, line2 = ax2.angle_spectrum(y, Fs=Fs, pad_to=pad_to, + sides='onesided') + spec3, freqs3, line3 = ax3.angle_spectrum(y, Fs=Fs, pad_to=pad_to, + sides='twosided') + + ax1.set_xlabel('') + ax2.set_xlabel('') + ax3.set_xlabel('') + ax1.set_ylabel('') + ax2.set_ylabel('') + ax3.set_ylabel('') + + +@image_comparison(baseline_images=['phase_spectrum_freqs'], + remove_text=True, + extensions=['png']) +def test_phase_spectrum_freqs(): + '''test axes.phase_spectrum with sinusoidal stimuli''' + n = 10000 + Fs = 100. + + fstims1 = [Fs/4, Fs/5, Fs/11] + + NFFT = int(1000 * Fs / min(fstims1)) + pad_to = int(2 ** np.ceil(np.log2(NFFT))) + + x = np.arange(0, n, 1/Fs) + + y = np.zeros(x.size) + for i, fstim1 in enumerate(fstims1): + y += np.sin(fstim1 * x * np.pi * 2) * 10**i + y = y + + fig = plt.figure() + ax1 = fig.add_subplot(3, 1, 1) + ax2 = fig.add_subplot(3, 1, 2) + ax3 = fig.add_subplot(3, 1, 3) + + spec1, freqs1, line1 = ax1.phase_spectrum(y, Fs=Fs, pad_to=pad_to, + sides='default') + spec2, freqs2, line2 = ax2.phase_spectrum(y, Fs=Fs, pad_to=pad_to, + sides='onesided') + spec3, freqs3, line3 = ax3.phase_spectrum(y, Fs=Fs, pad_to=pad_to, + sides='twosided') + + ax1.set_xlabel('') + ax2.set_xlabel('') + ax3.set_xlabel('') + ax1.set_ylabel('') + ax2.set_ylabel('') + ax3.set_ylabel('') + + +@image_comparison(baseline_images=['phase_spectrum_noise'], + remove_text=True, + extensions=['png']) +def test_phase_spectrum_noise(): + '''test axes.phase_spectrum with noise stimuli''' + np.random.seed(0) + + n = 10000 + Fs = 100. + + NFFT = int(1000 * Fs / 11) + pad_to = int(2 ** np.ceil(np.log2(NFFT))) + + y1 = np.random.standard_normal(n) + y2 = np.random.rand(n) + y = np.hstack([y1, y2]) - .5 + + fig = plt.figure() + ax1 = fig.add_subplot(3, 1, 1) + ax2 = fig.add_subplot(3, 1, 2) + ax3 = fig.add_subplot(3, 1, 3) + + spec1, freqs1, line1 = ax1.phase_spectrum(y, Fs=Fs, pad_to=pad_to, + sides='default') + spec2, freqs2, line2 = ax2.phase_spectrum(y, Fs=Fs, pad_to=pad_to, + sides='onesided') + spec3, freqs3, line3 = ax3.phase_spectrum(y, Fs=Fs, pad_to=pad_to, + sides='twosided') ax1.set_xlabel('') ax2.set_xlabel('') @@ -1771,7 +2406,7 @@ def test_relim_visible_only(): l[0].set_visible(False) assert ax.get_xlim() == x2 assert ax.get_ylim() == y2 - + ax.relim(visible_only=True) ax.autoscale_view() @@ -1781,4 +2416,9 @@ def test_relim_visible_only(): if __name__ == '__main__': import nose - nose.runmodule(argv=['-s', '--with-doctest'], exit=False) + import sys + + args = ['-s', '--with-doctest'] + argv = sys.argv + argv = argv[:1] + args + argv[1:] + nose.runmodule(argv=argv, exit=False) From 9499793601b187150b512e5183f9d877ec78ff24 Mon Sep 17 00:00:00 2001 From: Todd Jennings Date: Sun, 6 Oct 2013 18:54:21 +0200 Subject: [PATCH 8/9] add demo for new spectral plot types --- examples/pylab_examples/spectrum_demo.py | 31 ++++++++++++++++++++++++ 1 file changed, 31 insertions(+) create mode 100644 examples/pylab_examples/spectrum_demo.py diff --git a/examples/pylab_examples/spectrum_demo.py b/examples/pylab_examples/spectrum_demo.py new file mode 100644 index 000000000000..8278e1900e96 --- /dev/null +++ b/examples/pylab_examples/spectrum_demo.py @@ -0,0 +1,31 @@ +#!/usr/bin/env python +# python + +from pylab import * + +dt = 0.01 +Fs = 1/dt +t = arange(0, 10, dt) +nse = randn(len(t)) +r = exp(-t/0.05) + +cnse = convolve(nse, r)*dt +cnse = cnse[:len(t)] +s = 0.1*sin(2*pi*t) + cnse + +subplot(3, 2, 1) +plot(t, s) + +subplot(3, 2, 3) +magnitude_spectrum(s, Fs=Fs) + +subplot(3, 2, 4) +magnitude_spectrum(s, Fs=Fs, scale='dB') + +subplot(3, 2, 5) +angle_spectrum(s, Fs=Fs) + +subplot(3, 2, 6) +phase_spectrum(s, Fs=Fs) + +show() From 4d9cc28e238f2ee8ccd6d30bf348735da1077e0f Mon Sep 17 00:00:00 2001 From: Todd Jennings Date: Sun, 6 Oct 2013 19:26:26 +0200 Subject: [PATCH 9/9] added information regarding new spectrum functions to CHANGELOG, whats_new, and api_changes --- CHANGELOG | 16 ++++++++++++++++ doc/api/api_changes.rst | 22 ++++++++++++++++++++++ doc/users/whats_new.rst | 30 ++++++++++++++++++++++++++++++ 3 files changed, 68 insertions(+) diff --git a/CHANGELOG b/CHANGELOG index 2d76aeda2892..5e1abfe99ebb 100644 --- a/CHANGELOG +++ b/CHANGELOG @@ -1,3 +1,19 @@ +2013-10-06 Add stride-based functions to mlab for easy creation of 2D arrays + with less memory. + +2013-10-06 Improve window and detrend functions in mlab, particulart support for + 2D arrays. + +2013-10-06 Improve performance of all spectrum-related mlab functions and plots. + +2013-10-06 Added support for magnitude, phase, and angle spectrums to + axes.specgram, and support for magnitude, phase, angle, and complex + spectrums to mlab-specgram. + +2013-10-06 Added magnitude_spectrum, angle_spectrum, and phase_spectrum plots, + as well as magnitude_spectrum, angle_spectrum, phase_spectrum, + and complex_spectrum functions to mlab + 2013-07-12 Added support for datetime axes to 2d plots. Axis values are passed through Axes.convert_xunits/Axes.convert_yunits before being used by contour/contourf, pcolormesh and pcolor. diff --git a/doc/api/api_changes.rst b/doc/api/api_changes.rst index ac2df22c3f8a..41507298fb0a 100644 --- a/doc/api/api_changes.rst +++ b/doc/api/api_changes.rst @@ -76,6 +76,28 @@ original location: - `xycoords` -> set the units of the point location - `set_position()` -> `Annotation` only set location of annotation +* NFFT being even is now enforced in `matplotlib.mlab.specgram`, + `matplotlib.mlab.psd`, `matplotlib.mlab.csd`, + `matplotlib.mlab.cohere`, `matplotlib.mlab.cohere_pairs`, + `matplotlib.pyplot.specgram`, `matplotlib.pyplot.psd`, + `matplotlib.pyplot.csd`, and `matplotlib.pyplot.cohere`. This was + listed as a requirement but was not actually checked. + +* `matplotlib.mlab.specgram`, `matplotlib.mlab.psd`, `matplotlib.mlab.csd`, + `matplotlib.mlab.cohere`, `matplotlib.mlab.cohere_pairs`, + `matplotlib.pyplot.specgram`, `matplotlib.pyplot.psd`, + `matplotlib.pyplot.csd`, and `matplotlib.pyplot.cohere` now raise + ValueError where they previously raised AssertionError. + +* For `matplotlib.mlab.psd`, `matplotlib.mlab.csd`, + `matplotlib.mlab.cohere`, `matplotlib.mlab.cohere_pairs`, + `matplotlib.pyplot.specgram`, `matplotlib.pyplot.psd`, + `matplotlib.pyplot.csd`, and `matplotlib.pyplot.cohere`, in cases + where a shape (n, 1) array is returned, this is now converted to a (n, ) + array. Previously, (n, m) arrays were averaged to an (n, ) array, but + (n, 1) arrays were returend unchanged. This change makes the dimensions + consistent in both cases. + .. _changes_in_1_3: diff --git a/doc/users/whats_new.rst b/doc/users/whats_new.rst index 5ea30312e7da..c147ef25550d 100644 --- a/doc/users/whats_new.rst +++ b/doc/users/whats_new.rst @@ -32,6 +32,36 @@ Andrew Dawson added support for datetime axes to :func:`~matplotlib.pyplot.contour`, :func:`~matplotlib.pyplot.contourf`, :func:`~matplotlib.pyplot.pcolormesh` and :func:`~matplotlib.pyplot.pcolor`. +Support for additional spectrum types +````````````````````````````````````` +Todd Jennings added support for new types of frequency spectrum plots: +:func:`~matplotlib.pyplot.magnitude_spectrum`, +:func:`~matplotlib.pyplot.phase_spectrum`, and +:func:`~matplotlib.pyplot.angle_spectrum`, as well as corresponding functions +in mlab. + +He also added these spectrum types to :func:`~matplotlib.pyplot.specgram`, +as well as adding support for linear scaling there (in addition to the +existing dB scaling). Support for additional spectrum types was also added to +:func:`~matplotlib.mlab.specgram`. + +He also increased the performance for all of these functions and plot types. + +Support for detrending and windowing 2D arrays in mlab +`````````````````````````````````````````````````````` +Todd Jennings added support for 2D arrays in the +:func:`~matplotlib.mlab.detrend_mean`, :func:`~matplotlib.mlab.detrend_none`, +and :func:`~matplotlib.mlab.detrend`, as well as adding +:func:`~matplotlib.mlab.apply_window` which support windowing 2D arrays. + +Support for strides in mlab +``````````````````````````` +Todd Jennings added some functions to mlab to make it easier to use numpy +strides to create memory-efficient 2D arrays. This includes +:func:`~matplotlib.mlab.stride_repeat`, which repeats an array to create a 2D +array, and :func:`~matplotlib.mlab.stride_windows`, which uses a moving window +to create a 2D array from a 1D array. + Date handling -------------

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