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Diffstat (limited to 'numpy/lib/tests/test_function_base.py')
| -rw-r--r-- | numpy/lib/tests/test_function_base.py | 512 |
1 files changed, 0 insertions, 512 deletions
diff --git a/numpy/lib/tests/test_function_base.py b/numpy/lib/tests/test_function_base.py index 8381c2465..dbab69436 100644 --- a/numpy/lib/tests/test_function_base.py +++ b/numpy/lib/tests/test_function_base.py @@ -1617,518 +1617,6 @@ class TestSinc(object): assert_array_equal(y1, y3) -class TestHistogram(object): - - def setup(self): - pass - - def teardown(self): - pass - - def test_simple(self): - n = 100 - v = rand(n) - (a, b) = histogram(v) - # check if the sum of the bins equals the number of samples - assert_equal(np.sum(a, axis=0), n) - # check that the bin counts are evenly spaced when the data is from - # a linear function - (a, b) = histogram(np.linspace(0, 10, 100)) - assert_array_equal(a, 10) - - def test_one_bin(self): - # Ticket 632 - hist, edges = histogram([1, 2, 3, 4], [1, 2]) - assert_array_equal(hist, [2, ]) - assert_array_equal(edges, [1, 2]) - assert_raises(ValueError, histogram, [1, 2], bins=0) - h, e = histogram([1, 2], bins=1) - assert_equal(h, np.array([2])) - assert_allclose(e, np.array([1., 2.])) - - def test_normed(self): - # Check that the integral of the density equals 1. - n = 100 - v = rand(n) - a, b = histogram(v, normed=True) - area = np.sum(a * diff(b)) - assert_almost_equal(area, 1) - - # Check with non-constant bin widths (buggy but backwards - # compatible) - v = np.arange(10) - bins = [0, 1, 5, 9, 10] - a, b = histogram(v, bins, normed=True) - area = np.sum(a * diff(b)) - assert_almost_equal(area, 1) - - def test_density(self): - # Check that the integral of the density equals 1. - n = 100 - v = rand(n) - a, b = histogram(v, density=True) - area = np.sum(a * diff(b)) - assert_almost_equal(area, 1) - - # Check with non-constant bin widths - v = np.arange(10) - bins = [0, 1, 3, 6, 10] - a, b = histogram(v, bins, density=True) - assert_array_equal(a, .1) - assert_equal(np.sum(a * diff(b)), 1) - - # Variale bin widths are especially useful to deal with - # infinities. - v = np.arange(10) - bins = [0, 1, 3, 6, np.inf] - a, b = histogram(v, bins, density=True) - assert_array_equal(a, [.1, .1, .1, 0.]) - - # Taken from a bug report from N. Becker on the numpy-discussion - # mailing list Aug. 6, 2010. - counts, dmy = np.histogram( - [1, 2, 3, 4], [0.5, 1.5, np.inf], density=True) - assert_equal(counts, [.25, 0]) - - def test_outliers(self): - # Check that outliers are not tallied - a = np.arange(10) + .5 - - # Lower outliers - h, b = histogram(a, range=[0, 9]) - assert_equal(h.sum(), 9) - - # Upper outliers - h, b = histogram(a, range=[1, 10]) - assert_equal(h.sum(), 9) - - # Normalization - h, b = histogram(a, range=[1, 9], normed=True) - assert_almost_equal((h * diff(b)).sum(), 1, decimal=15) - - # Weights - w = np.arange(10) + .5 - h, b = histogram(a, range=[1, 9], weights=w, normed=True) - assert_equal((h * diff(b)).sum(), 1) - - h, b = histogram(a, bins=8, range=[1, 9], weights=w) - assert_equal(h, w[1:-1]) - - def test_type(self): - # Check the type of the returned histogram - a = np.arange(10) + .5 - h, b = histogram(a) - assert_(np.issubdtype(h.dtype, np.integer)) - - h, b = histogram(a, normed=True) - assert_(np.issubdtype(h.dtype, np.floating)) - - h, b = histogram(a, weights=np.ones(10, int)) - assert_(np.issubdtype(h.dtype, np.integer)) - - h, b = histogram(a, weights=np.ones(10, float)) - assert_(np.issubdtype(h.dtype, np.floating)) - - def test_f32_rounding(self): - # gh-4799, check that the rounding of the edges works with float32 - x = np.array([276.318359, -69.593948, 21.329449], dtype=np.float32) - y = np.array([5005.689453, 4481.327637, 6010.369629], dtype=np.float32) - counts_hist, xedges, yedges = np.histogram2d(x, y, bins=100) - assert_equal(counts_hist.sum(), 3.) - - def test_weights(self): - v = rand(100) - w = np.ones(100) * 5 - a, b = histogram(v) - na, nb = histogram(v, normed=True) - wa, wb = histogram(v, weights=w) - nwa, nwb = histogram(v, weights=w, normed=True) - assert_array_almost_equal(a * 5, wa) - assert_array_almost_equal(na, nwa) - - # Check weights are properly applied. - v = np.linspace(0, 10, 10) - w = np.concatenate((np.zeros(5), np.ones(5))) - wa, wb = histogram(v, bins=np.arange(11), weights=w) - assert_array_almost_equal(wa, w) - - # Check with integer weights - wa, wb = histogram([1, 2, 2, 4], bins=4, weights=[4, 3, 2, 1]) - assert_array_equal(wa, [4, 5, 0, 1]) - wa, wb = histogram( - [1, 2, 2, 4], bins=4, weights=[4, 3, 2, 1], normed=True) - assert_array_almost_equal(wa, np.array([4, 5, 0, 1]) / 10. / 3. * 4) - - # Check weights with non-uniform bin widths - a, b = histogram( - np.arange(9), [0, 1, 3, 6, 10], - weights=[2, 1, 1, 1, 1, 1, 1, 1, 1], density=True) - assert_almost_equal(a, [.2, .1, .1, .075]) - - def test_exotic_weights(self): - - # Test the use of weights that are not integer or floats, but e.g. - # complex numbers or object types. - - # Complex weights - values = np.array([1.3, 2.5, 2.3]) - weights = np.array([1, -1, 2]) + 1j * np.array([2, 1, 2]) - - # Check with custom bins - wa, wb = histogram(values, bins=[0, 2, 3], weights=weights) - assert_array_almost_equal(wa, np.array([1, 1]) + 1j * np.array([2, 3])) - - # Check with even bins - wa, wb = histogram(values, bins=2, range=[1, 3], weights=weights) - assert_array_almost_equal(wa, np.array([1, 1]) + 1j * np.array([2, 3])) - - # Decimal weights - from decimal import Decimal - values = np.array([1.3, 2.5, 2.3]) - weights = np.array([Decimal(1), Decimal(2), Decimal(3)]) - - # Check with custom bins - wa, wb = histogram(values, bins=[0, 2, 3], weights=weights) - assert_array_almost_equal(wa, [Decimal(1), Decimal(5)]) - - # Check with even bins - wa, wb = histogram(values, bins=2, range=[1, 3], weights=weights) - assert_array_almost_equal(wa, [Decimal(1), Decimal(5)]) - - def test_no_side_effects(self): - # This is a regression test that ensures that values passed to - # ``histogram`` are unchanged. - values = np.array([1.3, 2.5, 2.3]) - np.histogram(values, range=[-10, 10], bins=100) - assert_array_almost_equal(values, [1.3, 2.5, 2.3]) - - def test_empty(self): - a, b = histogram([], bins=([0, 1])) - assert_array_equal(a, np.array([0])) - assert_array_equal(b, np.array([0, 1])) - - def test_error_binnum_type (self): - # Tests if right Error is raised if bins argument is float - vals = np.linspace(0.0, 1.0, num=100) - histogram(vals, 5) - assert_raises(TypeError, histogram, vals, 2.4) - - def test_finite_range(self): - # Normal ranges should be fine - vals = np.linspace(0.0, 1.0, num=100) - histogram(vals, range=[0.25,0.75]) - assert_raises(ValueError, histogram, vals, range=[np.nan,0.75]) - assert_raises(ValueError, histogram, vals, range=[0.25,np.inf]) - - def test_bin_edge_cases(self): - # Ensure that floating-point computations correctly place edge cases. - arr = np.array([337, 404, 739, 806, 1007, 1811, 2012]) - hist, edges = np.histogram(arr, bins=8296, range=(2, 2280)) - mask = hist > 0 - left_edges = edges[:-1][mask] - right_edges = edges[1:][mask] - for x, left, right in zip(arr, left_edges, right_edges): - assert_(x >= left) - assert_(x < right) - - def test_last_bin_inclusive_range(self): - arr = np.array([0., 0., 0., 1., 2., 3., 3., 4., 5.]) - hist, edges = np.histogram(arr, bins=30, range=(-0.5, 5)) - assert_equal(hist[-1], 1) - - def test_unsigned_monotonicity_check(self): - # Ensures ValueError is raised if bins not increasing monotonically - # when bins contain unsigned values (see #9222) - arr = np.array([2]) - bins = np.array([1, 3, 1], dtype='uint64') - with assert_raises(ValueError): - hist, edges = np.histogram(arr, bins=bins) - - -class TestHistogramOptimBinNums(object): - """ - Provide test coverage when using provided estimators for optimal number of - bins - """ - - def test_empty(self): - estimator_list = ['fd', 'scott', 'rice', 'sturges', - 'doane', 'sqrt', 'auto'] - # check it can deal with empty data - for estimator in estimator_list: - a, b = histogram([], bins=estimator) - assert_array_equal(a, np.array([0])) - assert_array_equal(b, np.array([0, 1])) - - def test_simple(self): - """ - Straightforward testing with a mixture of linspace data (for - consistency). All test values have been precomputed and the values - shouldn't change - """ - # Some basic sanity checking, with some fixed data. - # Checking for the correct number of bins - basic_test = {50: {'fd': 4, 'scott': 4, 'rice': 8, 'sturges': 7, - 'doane': 8, 'sqrt': 8, 'auto': 7}, - 500: {'fd': 8, 'scott': 8, 'rice': 16, 'sturges': 10, - 'doane': 12, 'sqrt': 23, 'auto': 10}, - 5000: {'fd': 17, 'scott': 17, 'rice': 35, 'sturges': 14, - 'doane': 17, 'sqrt': 71, 'auto': 17}} - - for testlen, expectedResults in basic_test.items(): - # Create some sort of non uniform data to test with - # (2 peak uniform mixture) - x1 = np.linspace(-10, -1, testlen // 5 * 2) - x2 = np.linspace(1, 10, testlen // 5 * 3) - x = np.concatenate((x1, x2)) - for estimator, numbins in expectedResults.items(): - a, b = np.histogram(x, estimator) - assert_equal(len(a), numbins, err_msg="For the {0} estimator " - "with datasize of {1}".format(estimator, testlen)) - - def test_small(self): - """ - Smaller datasets have the potential to cause issues with the data - adaptive methods, especially the FD method. All bin numbers have been - precalculated. - """ - small_dat = {1: {'fd': 1, 'scott': 1, 'rice': 1, 'sturges': 1, - 'doane': 1, 'sqrt': 1}, - 2: {'fd': 2, 'scott': 1, 'rice': 3, 'sturges': 2, - 'doane': 1, 'sqrt': 2}, - 3: {'fd': 2, 'scott': 2, 'rice': 3, 'sturges': 3, - 'doane': 3, 'sqrt': 2}} - - for testlen, expectedResults in small_dat.items(): - testdat = np.arange(testlen) - for estimator, expbins in expectedResults.items(): - a, b = np.histogram(testdat, estimator) - assert_equal(len(a), expbins, err_msg="For the {0} estimator " - "with datasize of {1}".format(estimator, testlen)) - - def test_incorrect_methods(self): - """ - Check a Value Error is thrown when an unknown string is passed in - """ - check_list = ['mad', 'freeman', 'histograms', 'IQR'] - for estimator in check_list: - assert_raises(ValueError, histogram, [1, 2, 3], estimator) - - def test_novariance(self): - """ - Check that methods handle no variance in data - Primarily for Scott and FD as the SD and IQR are both 0 in this case - """ - novar_dataset = np.ones(100) - novar_resultdict = {'fd': 1, 'scott': 1, 'rice': 1, 'sturges': 1, - 'doane': 1, 'sqrt': 1, 'auto': 1} - - for estimator, numbins in novar_resultdict.items(): - a, b = np.histogram(novar_dataset, estimator) - assert_equal(len(a), numbins, err_msg="{0} estimator, " - "No Variance test".format(estimator)) - - def test_outlier(self): - """ - Check the FD, Scott and Doane with outliers. - - The FD estimates a smaller binwidth since it's less affected by - outliers. Since the range is so (artificially) large, this means more - bins, most of which will be empty, but the data of interest usually is - unaffected. The Scott estimator is more affected and returns fewer bins, - despite most of the variance being in one area of the data. The Doane - estimator lies somewhere between the other two. - """ - xcenter = np.linspace(-10, 10, 50) - outlier_dataset = np.hstack((np.linspace(-110, -100, 5), xcenter)) - - outlier_resultdict = {'fd': 21, 'scott': 5, 'doane': 11} - - for estimator, numbins in outlier_resultdict.items(): - a, b = np.histogram(outlier_dataset, estimator) - assert_equal(len(a), numbins) - - def test_simple_range(self): - """ - Straightforward testing with a mixture of linspace data (for - consistency). Adding in a 3rd mixture that will then be - completely ignored. All test values have been precomputed and - the shouldn't change. - """ - # some basic sanity checking, with some fixed data. - # Checking for the correct number of bins - basic_test = { - 50: {'fd': 8, 'scott': 8, 'rice': 15, - 'sturges': 14, 'auto': 14}, - 500: {'fd': 15, 'scott': 16, 'rice': 32, - 'sturges': 20, 'auto': 20}, - 5000: {'fd': 33, 'scott': 33, 'rice': 69, - 'sturges': 27, 'auto': 33} - } - - for testlen, expectedResults in basic_test.items(): - # create some sort of non uniform data to test with - # (3 peak uniform mixture) - x1 = np.linspace(-10, -1, testlen // 5 * 2) - x2 = np.linspace(1, 10, testlen // 5 * 3) - x3 = np.linspace(-100, -50, testlen) - x = np.hstack((x1, x2, x3)) - for estimator, numbins in expectedResults.items(): - a, b = np.histogram(x, estimator, range = (-20, 20)) - msg = "For the {0} estimator".format(estimator) - msg += " with datasize of {0}".format(testlen) - assert_equal(len(a), numbins, err_msg=msg) - - def test_simple_weighted(self): - """ - Check that weighted data raises a TypeError - """ - estimator_list = ['fd', 'scott', 'rice', 'sturges', 'auto'] - for estimator in estimator_list: - assert_raises(TypeError, histogram, [1, 2, 3], - estimator, weights=[1, 2, 3]) - - -class TestHistogramdd(object): - - def test_simple(self): - x = np.array([[-.5, .5, 1.5], [-.5, 1.5, 2.5], [-.5, 2.5, .5], - [.5, .5, 1.5], [.5, 1.5, 2.5], [.5, 2.5, 2.5]]) - H, edges = histogramdd(x, (2, 3, 3), - range=[[-1, 1], [0, 3], [0, 3]]) - answer = np.array([[[0, 1, 0], [0, 0, 1], [1, 0, 0]], - [[0, 1, 0], [0, 0, 1], [0, 0, 1]]]) - assert_array_equal(H, answer) - - # Check normalization - ed = [[-2, 0, 2], [0, 1, 2, 3], [0, 1, 2, 3]] - H, edges = histogramdd(x, bins=ed, normed=True) - assert_(np.all(H == answer / 12.)) - - # Check that H has the correct shape. - H, edges = histogramdd(x, (2, 3, 4), - range=[[-1, 1], [0, 3], [0, 4]], - normed=True) - answer = np.array([[[0, 1, 0, 0], [0, 0, 1, 0], [1, 0, 0, 0]], - [[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 1, 0]]]) - assert_array_almost_equal(H, answer / 6., 4) - # Check that a sequence of arrays is accepted and H has the correct - # shape. - z = [np.squeeze(y) for y in split(x, 3, axis=1)] - H, edges = histogramdd( - z, bins=(4, 3, 2), range=[[-2, 2], [0, 3], [0, 2]]) - answer = np.array([[[0, 0], [0, 0], [0, 0]], - [[0, 1], [0, 0], [1, 0]], - [[0, 1], [0, 0], [0, 0]], - [[0, 0], [0, 0], [0, 0]]]) - assert_array_equal(H, answer) - - Z = np.zeros((5, 5, 5)) - Z[list(range(5)), list(range(5)), list(range(5))] = 1. - H, edges = histogramdd([np.arange(5), np.arange(5), np.arange(5)], 5) - assert_array_equal(H, Z) - - def test_shape_3d(self): - # All possible permutations for bins of different lengths in 3D. - bins = ((5, 4, 6), (6, 4, 5), (5, 6, 4), (4, 6, 5), (6, 5, 4), - (4, 5, 6)) - r = rand(10, 3) - for b in bins: - H, edges = histogramdd(r, b) - assert_(H.shape == b) - - def test_shape_4d(self): - # All possible permutations for bins of different lengths in 4D. - bins = ((7, 4, 5, 6), (4, 5, 7, 6), (5, 6, 4, 7), (7, 6, 5, 4), - (5, 7, 6, 4), (4, 6, 7, 5), (6, 5, 7, 4), (7, 5, 4, 6), - (7, 4, 6, 5), (6, 4, 7, 5), (6, 7, 5, 4), (4, 6, 5, 7), - (4, 7, 5, 6), (5, 4, 6, 7), (5, 7, 4, 6), (6, 7, 4, 5), - (6, 5, 4, 7), (4, 7, 6, 5), (4, 5, 6, 7), (7, 6, 4, 5), - (5, 4, 7, 6), (5, 6, 7, 4), (6, 4, 5, 7), (7, 5, 6, 4)) - - r = rand(10, 4) - for b in bins: - H, edges = histogramdd(r, b) - assert_(H.shape == b) - - def test_weights(self): - v = rand(100, 2) - hist, edges = histogramdd(v) - n_hist, edges = histogramdd(v, normed=True) - w_hist, edges = histogramdd(v, weights=np.ones(100)) - assert_array_equal(w_hist, hist) - w_hist, edges = histogramdd(v, weights=np.ones(100) * 2, normed=True) - assert_array_equal(w_hist, n_hist) - w_hist, edges = histogramdd(v, weights=np.ones(100, int) * 2) - assert_array_equal(w_hist, 2 * hist) - - def test_identical_samples(self): - x = np.zeros((10, 2), int) - hist, edges = histogramdd(x, bins=2) - assert_array_equal(edges[0], np.array([-0.5, 0., 0.5])) - - def test_empty(self): - a, b = histogramdd([[], []], bins=([0, 1], [0, 1])) - assert_array_max_ulp(a, np.array([[0.]])) - a, b = np.histogramdd([[], [], []], bins=2) - assert_array_max_ulp(a, np.zeros((2, 2, 2))) - - def test_bins_errors(self): - # There are two ways to specify bins. Check for the right errors - # when mixing those. - x = np.arange(8).reshape(2, 4) - assert_raises(ValueError, np.histogramdd, x, bins=[-1, 2, 4, 5]) - assert_raises(ValueError, np.histogramdd, x, bins=[1, 0.99, 1, 1]) - assert_raises( - ValueError, np.histogramdd, x, bins=[1, 1, 1, [1, 2, 2, 3]]) - assert_raises( - ValueError, np.histogramdd, x, bins=[1, 1, 1, [1, 2, 3, -3]]) - assert_(np.histogramdd(x, bins=[1, 1, 1, [1, 2, 3, 4]])) - - def test_inf_edges(self): - # Test using +/-inf bin edges works. See #1788. - with np.errstate(invalid='ignore'): - x = np.arange(6).reshape(3, 2) - expected = np.array([[1, 0], [0, 1], [0, 1]]) - h, e = np.histogramdd(x, bins=[3, [-np.inf, 2, 10]]) - assert_allclose(h, expected) - h, e = np.histogramdd(x, bins=[3, np.array([-1, 2, np.inf])]) - assert_allclose(h, expected) - h, e = np.histogramdd(x, bins=[3, [-np.inf, 3, np.inf]]) - assert_allclose(h, expected) - - def test_rightmost_binedge(self): - # Test event very close to rightmost binedge. See Github issue #4266 - x = [0.9999999995] - bins = [[0., 0.5, 1.0]] - hist, _ = histogramdd(x, bins=bins) - assert_(hist[0] == 0.0) - assert_(hist[1] == 1.) - x = [1.0] - bins = [[0., 0.5, 1.0]] - hist, _ = histogramdd(x, bins=bins) - assert_(hist[0] == 0.0) - assert_(hist[1] == 1.) - x = [1.0000000001] - bins = [[0., 0.5, 1.0]] - hist, _ = histogramdd(x, bins=bins) - assert_(hist[0] == 0.0) - assert_(hist[1] == 1.) - x = [1.0001] - bins = [[0., 0.5, 1.0]] - hist, _ = histogramdd(x, bins=bins) - assert_(hist[0] == 0.0) - assert_(hist[1] == 0.0) - - def test_finite_range(self): - vals = np.random.random((100, 3)) - histogramdd(vals, range=[[0.0, 1.0], [0.25, 0.75], [0.25, 0.5]]) - assert_raises(ValueError, histogramdd, vals, - range=[[0.0, 1.0], [0.25, 0.75], [0.25, np.inf]]) - assert_raises(ValueError, histogramdd, vals, - range=[[0.0, 1.0], [np.nan, 0.75], [0.25, 0.5]]) - - class TestUnique(object): def test_simple(self): |